% ******************************************************************** % AIM: NS{r} + aK1 => aa1 % % Extra assumptions: % % (x * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r"). % a(K(x,y),z,u) = 1 # label("aK1"). % ******************************************************************** 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 * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r"). a(K(x,y),z,u) = 1 # label("aK1"). 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(a(x,y,z),u,w) = 1. (x * y) * (z * z) = x * (y * (z * z)). a(K(x,y),z,u) = 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). (x * y) \ (y * x) = K(y,x). (x * y) \ (x * (y * z)) = L(z,y,x). ((x * y) * z) / (y * z) = R(x,y,z). x \ (y * x) = T(y,x). T(T(x,y),z) = T(T(x,z),y). T(L(x,y,z),u) = L(T(x,u),y,z). T(R(x,y,z),u) = R(T(x,u),y,z). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). x * y != z | x * u != z | y = u. x * y != z | u * y != z | x = u. x / y != z | x / u != z | y = u. x / y != z | u / y != z | x = u. x \ y != z | x \ u != z | y = u. x \ y != z | u \ y != z | x = u. T(x,y) != z | T(u,y) != z | x = u. L(x,y,z) != u | L(w,y,z) != u | x = w. R(x,y,z) != u | R(w,y,z) != u | x = w. x * y != x * z | y = z. x * y != z * y | x = z. x / y != x / z | y = z. x / y != z / y | x = z. x \ y != x \ z | y = z. x \ y != z \ y | x = z. T(x,y) != T(z,y) | x = z. L(x,y,z) != L(u,y,z) | x = u. R(x,y,z) != R(u,y,z) | x = u. a(x,y,z) != 1 | L(z,y,x) = z. L(x,y,z) != x | a(z,y,x) = 1. T(x,y) != x | T(y,x) = y. T(x,y) != x | K(x,y) = 1. K(x,y) != 1 | T(x,y) = x. x != y | x * z = y * z. x != y | z * x = z * y. x != y | x / z = y / z. x != y | x \ z = y \ z. x != y | z \ x = z \ y. x != y | y != z | x = z. a(a(c1,c2,c3),c4,c5) != 1. x * a(K(y,z),u,w) = x. (1 * x) * 1 = x. (x * y) \ (x * (y * (z * z))) = z * z. 1 \ x = x. x \ x = 1. x \ ((x * y) * 1) = y. x \ (y \ (y * (x * z))) = z. x \ (x * (y \ (y * z))) = z. x * ((x \ y) * (z * z)) = y * (z * z). (x * (x \ 1)) * y = y. x * (x \ (1 * y)) = y. x * (y * (y \ 1)) = x. x \ (y * (y \ (x * z))) = z. x * (y \ (y * (x \ z))) = z. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. (x / y) * (y * (z * z)) = x * (z * z). ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. x \ (((x * y) / z) * z) = y. (x \ (x * (y / z))) * z = y. ((x * (x \ y)) / z) * z = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. (x * (y * (z * z))) \ (x * (y * (z * z))) = a(x,y,z * z). (x * (y * z)) * a(x,y,z) = (x * y) * z. (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). (x * y) * K(y,x) = y * x. x \ ((y \ x) * y) = K(y \ x,y). ((x \ y) * x) \ y = K(x,x \ y). x \ (y * (x / y)) = K(y,x / y). (x * (y / x)) \ y = K(y / x,x). (x * 1) \ (x * y) = L(y,1,x). (x * y) * L(z,y,x) = x * (y * z). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). L(x \ y,x,z) = (z * x) \ (z * y). x \ ((x / y) * (y * z)) = L(z,y,x / y). L(x,y / x,z) = (z * (y / x)) \ (z * y). L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. (x * (y * (z * z))) / (y * (z * z)) = R(x,y,z * z). R(x,x \ y,z) = (y * z) / ((x \ y) * z). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). ((x * y) * (y \ z)) / z = R(x,y,y \ z). R(x,y,z) * (y * z) = (x * y) * z. R(x / y,y,z) = (x * z) / (y * z). ((x * (y / z)) * z) / y = R(x,y / z,z). (x * x) \ (y * (z * (x * x))) = T(y * z,x * x). 1 \ x = T(x,1). T(x,x) = x. x * T(y,x) = y * x. T(x,x \ y) = (x \ y) \ y. T(x / y,y) = y \ x. T(x,x * x) = L(x,x,x). x \ (T(y,z) * x) = T(T(y,x),z). T(((x * y) * z) / (y * z),u) = R(T(x,u),y,z). x \ (R(y,z,u) * x) = R(T(y,x),z,u). 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,v5,v6),y,z),u,w). x != y | 1 * z != y | x = z. 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 | (x * z) / u != y | z = u. x != y | z / u != y | x * u = z. x != y | z \ u != y | z * x = u. 1 * x != y | y = x. 1 * x != y | x = y. (x * y) * 1 != x * z | z = y. x \ (x * (y * z)) != y * u | u = z. x * y != z | x \ z = 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 | z / y = x. (x * y) / z != x | y = z. x / y != z | z * y = x. x \ y != z | x * z = y. x \ (y * z) != z | y = x. T(T(x,y),z) != T(u,y) | T(x,z) = u. L(x,y,K(z,u)) = x. L(L(x,y,z),u,w) * v5 = L(L(x,u,w),y,z) * v5. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. x * L(L(y,z,u),w,v5) = x * L(L(y,w,v5),z,u). x * (y * (y \ z)) = x * z. x * (y \ (y * z)) = x * z. ((x / y) * y) / z = x / z. (x * (x \ y)) / z = y / z. (1 * x) / y = x / y. (x * (x \ y)) \ z = y \ z. (x \ (x * y)) \ z = y \ z. x \ L(L(y,z,u),w,v5) = x \ L(L(y,w,v5),z,u). x \ (y * (y \ z)) = x \ z. x \ (y * 1) = x \ y. (x / y) * y = x * 1. (x / y) * y = 1 * x. (x * y) / y = 1 * x. x \ (x * y) = z * (z \ y). x * (x \ y) = y * 1. x * (x \ y) = 1 * y. L(x * x,y,z) = x * x. 1 \ (x * 1) = x. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. 1 \ x != y | x = y. K(x,x) = 1. x \ x = 1 * 1. (x \ x) * y = y. x * (y \ y) = x. x \ (y * (z * z)) = (x \ y) * (z * z). (x \ 1) * (x * x) = x. (x * ((x \ 1) * y)) \ y = a(x,x \ 1,y). x / (y * (y \ 1)) = x. x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). L(x \ 1,x,y) = (y * x) \ y. x * (y * (y \ 1)) != z | z = x. x * (y * (y \ 1)) != z | x = z. x \ (y * (y \ x)) = 1. (x / y) \ (z * (z \ x)) = y. x \ ((x * y) * L(z,y,x)) = y * z. x \ (y * T(x,y)) = y. x \ ((y * z) * (z \ (y \ x))) = a(y,z,z \ (y \ x)). L(x \ (y \ z),x,y) = (y * x) \ z. x * (y * (y \ T(z,x))) = z * x. x * (x \ (y * z)) = y * (u * (u \ z)). x / ((1 / y) * y) = x. x / 1 != y | y = x. x / (y \ x) = z / (y \ z). x / (y \ x) = z * (z \ y). x * (y / (z \ y)) = x * z. (x / (y \ x)) * z = y * z. R(x,y,z) \ ((x * y) * z) = y * z. ((x * y) * z) / a(x,y,z) = x * (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 | z \ x = y. x / (y / ((z \ x) \ y)) = z. x * ((1 / x) * (1 / x)) = 1 / x. (x / (y / (z * z))) * y = x * (z * z). R(1 / x,x,y) = y / (x * y). L(x,1 / x,y) = (y * (1 / x)) \ y. ((x / y) \ x) \ z = y \ z. ((x / y) \ x) * z = y * z. ((x / (y / z)) \ x) \ y = z. x != y | z \ u != y | u / x = z. x \ y != z | y / z = x. T((x * y) / x,x) = y. (x * T(y,x)) / x = y. ((x * (x \ y)) / z) \ y = z. (R(x,y,z) * (y * z)) / z = x * y. (((x / y) / z) * (z * y)) \ x = a((x / y) / z,z,y). R((x / y) / z,z,y) = x / (z * y). ((x / y) * y) * (x \ z) = z. ((x * y) / z) * z = ((x / u) * u) * y. a(x,y,z * z) = 1. (K(x,y) * z) * u = K(x,y) * (z * u). x * ((y * (z * u)) * a(y,z,u)) = x * ((y * z) * u). (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). (x * y) * a(x,y / z,z) = (x * (y / z)) * z. (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). ((x * y) * z) / ((y * z) * a(x,y,z)) = R(x,y * z,a(x,y,z)). (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)). x * (1 / x) = K(x,1 / x). (x \ 1) * x = K(x \ 1,x). ((x \ y) * x) * K(x,x \ y) = y. x * K(y \ x,y) = (y \ x) * y. (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). (x * y) * z != y * x | K(y,x) = z. (1 / x) * (x * y) = L(y,x,1 / x). x * ((x \ 1) * y) = L(y,x \ 1,x). (x * y) * L(y \ 1,y,x) = x. ((x * y) \ x) * (y * y) = L(y,y,x). L(x \ (y \ ((y * x) * z)),x,y) = z. x * L(y,z \ x,z) = z * ((z \ x) * y). x * L(y,z,x / z) = (x / z) * (z * y). (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). (x * (y * L(z,y,x))) \ (x * (y * z)) = a(x,y,L(z,y,x)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). (x * y) * z != x * (y * u) | L(u,y,x) = z. (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). L((x \ y) \ z,x \ y,x) = y \ (x * z). L((x \ y) \ 1,x \ y,x) = y \ x. x \ (y * L(z,x \ y,x)) = (x \ y) * z. L(x \ (y * x),x,y) = T(y,y * x). x \ L(y \ z,y,u) = x \ ((u * y) \ (u * z)). (x * y) / L(z \ y,z,x) = x * z. L(x \ y,x,z / x) = z \ ((z / x) * y). L(x \ y,x,z / y) = ((z / y) * x) \ z. (x * y) \ (x * (z * y)) = L(T(z,y),y,x). T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L(L(x \ y,z,u),x,w) = L((w * x) \ (w * y),z,u). L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). T((x * y) / x,x * y) = L(y,x,(x * y) / x). L(x \ 1,x,y / x) = y \ (y / x). (x * y) / L(z,y / z,x) = x * (y / z). R(x,y,z * z) = x. R(x,x \ y,z) \ (y * z) = (x \ y) * z. R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). (x * y) * (y \ 1) = R(x,y,y \ 1). R(x,y,y \ z) * z = (x * y) * (y \ z). R(x / y,y,y \ z) = (x * (y \ z)) / z. R(1 / x,x,x \ y) = (x \ y) / y. (x * (1 / y)) * y = R(x,1 / y,y). R(((x * (y * z)) / z) / y,y,z) = x. ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). (x * y) \ ((z * x) * y) = T(R(z,x,y),x * y). 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,y,z) \ (x * z) = y * z. R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / (y / z),y / z,z) = (x * z) / y. T((x * y) / (z * y),u) = R(T(x / z,u),z,y). R((x * y) / z,z,K(y,x)) = (y * x) / (z * K(y,x)). R((x * y) / z,z,L(u,y,x)) = (x * (y * u)) / (z * L(u,y,x)). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(1 / (x / y),x / y,y) = y / x. (x * x) \ (y * (z * (u * (x * x)))) = T(y * (z * u),x * x). T(x,1) = x. T(x,R(x,y,z)) = x. T(x,L(x,y,z)) = x. T(x,T(x,y)) = x. T(T(x,y),x) = T(x,y). T(L(x,y,z),x) = L(x,y,z). T(R(x,y,z),x) = R(x,y,z). T(x,y) != y | y = x. (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 * x) \ y) * (x * x) = T(y,x * x). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). (x * y) \ (T(x,y) * y) = K(T(x,y),y). ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). T(x,y) \ (x * y) = T(y,T(x,y)). x * T(T(y,x),z) = T(y,z) * x. x * L(T(y,x),z,u) = L(y,z,u) * x. x * R(T(y,x),z,u) = R(y,z,u) * x. x * y != z | y * u != z | T(x,y) = u. x * y != z * x | T(z,x) = y. x * T(y,x) != z * x | z = y. (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(x \ T(y,z),x,z) = (z * x) \ (y * z). R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y). L(T(x,L(x,y,z) \ u),y,z) = (L(x,y,z) \ u) \ u. x \ T(y,y \ z) = x \ ((y \ z) \ z). T(x,x \ y) \ z = ((x \ y) \ y) \ z. T(x,x \ y) * z = ((x \ y) \ y) * z. x / T(y,y \ x) = y \ x. (x \ (x * y)) \ (x * y) = T(x,y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). T(x / (x / y),x / y) = y. T(T(x / y,z),y) = T(y \ x,z). T(L(x / y,z,u),y) = L(y \ x,z,u). T(R(x / y,z,u),y) = R(y \ x,z,u). T(x,y) != y \ z | z / y = x. T(R(x / y,y,z),y * z) = (y * z) \ (x * z). (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z). (x * y) * L(L(L(z,y,x),u,w),v5,v6) = x * (y * L(L(z,u,w),v5,v6)). x != y | z != y | x = z. T(1,x) = 1. x \ L(y,x \ 1,x) = (x \ 1) * y. (x \ 1) \ K(x \ 1,x) = x. R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z). R(1 / x,x,y) \ y = x * y. x \ K(x,1 / x) = 1 / x. R(x,x \ 1,y) \ y = (x \ 1) * y. (x \ 1) * (y * y) = x \ (y * y). (x \ (y / (z * z))) * (z * z) = x \ y. (((x / y) * y) / z) \ x = z. x \ (y * (z * (u * u))) = (x \ (y * z)) * (u * u). x != y | z * u != y | T(z,u) = u \ x. (x * y) / T(y,T(x,y)) = T(x,y). R(x,1 / y,y) / y = x * (1 / y). ((x * y) * z) / L(z,y,R(x,y,z)) = R(x,y,z) * y. R(x,y,y \ 1) / (y \ 1) = x * y. K(x \ 1,x) / x = x \ 1. (x / (y * y)) / z = x / (z * (y * y)). x * (1 / (y * y)) = x / (y * y). K(x,1 / x) / (1 / x) = x. x / L(y \ 1,y,x) = x * y. (K(x,y) * (z * u)) / u = K(x,y) * z. x / (y \ ((x / z) * z)) = y. (x / (y * (z * z))) * y = x / (z * z). ((x / y) \ x) * (y \ z) = z. L(L(x,y,z),u,w) * (L(L(x,u,w),y,z) \ v5) = v5. x * (((y / x) \ y) \ z) = z. L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). (x / y) * ((z / y) \ z) = x. x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). x * R(L(y,z,x / z),u,w) = (x / z) * (z * R(y,u,w)). (x * y) * R(T(z,x * y),x,y) = (z * x) * y. T(x,T(x,y) \ z) * y = y * ((T(x,y) \ z) \ z). (x \ x) * y != z | y = z. (x / x) * y != z | y = z. x * y != x * z | z = y. x * 1 != y * z | y \ x = z. x \ y != z * u | z \ (x \ y) = u. x * y != z | T(x,y) = y \ z. x != y | 1 * x = y. x * (y \ y) != z | z = x. x * (y \ y) != z | x = z. x != y | 1 * y = x. (K(x,y) * z) \ (K(x,y) * u) = z \ u. K(x,y) * ((K(x,y) \ z) * u) = z * u. (K(x,y) * z) * (z \ u) = K(x,y) * u. x * (y \ L(L(z,u,w),v5,v6)) = x * (y \ L(L(z,v5,v6),u,w)). (x / y) * y != z | z = x. (x * y) / y != z | z = x. (x * y) / y != z | x = z. x * K(y,y) = x. L(x,y,1) = x. K(x,1) = 1. T(x,1) != y | x = y. T(x,y \ y) = x. T(1,x) * y = y. K(x,1) * y != z | y = z. L(x,y,1) != z | x = z. x \ x != y | 1 = y. T(x,y) * x = x * T(x,y). x \ y != z * (z \ u) | x * u = y. x * (x \ y) != z | y = z. L(T(x * x,y),z,u) = T(x * x,y). L((x \ 1) \ y,x \ 1,x) = x * y. L(x \ y,x,1 / x) = (1 / x) * y. L(x \ 1,x,1 / x) = 1 / x. x \ (y \ (z * (u * u))) = (x \ (y \ z)) * (u * u). (x \ y) * ((y \ x) * (y \ x)) = L(y \ x,y \ x,y). x / (x * x) = x \ 1. (x \ 1) \ x = x * x. x / (y * (x * x)) = (x \ 1) / y. T(x \ 1,x * x) = (x * x) \ x. (x \ (y \ 1)) * (y * y) = x \ y. (x * (y \ 1)) \ (x * y) = y * y. (x / (y \ 1)) * y = x * (y * y). L((x * x) \ y,x * x,x \ 1) = x \ ((x \ 1) * y). T(x * (y \ 1),y * y) = (y * y) \ (x * y). R(x / y,y,y \ 1) = x * (y \ 1). a(1 / x,x,x \ 1) = (1 / x) \ (x \ 1). x * L(y \ 1,y,z) = x * ((z * y) \ z). L(x \ 1,x,y) * z = ((y * x) \ y) * z. (K(x,y) * z) \ K(x,y) = z \ 1. L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. L(x \ 1,x,y) \ (((y * x) \ y) * z) = z. T((x * y) \ x,z) = L(T(y \ 1,z),y,x). R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). L(T(x,x \ 1),x \ 1,y) = (y * (x \ 1)) \ y. x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. L(x \ T(y * x,y),x,y) = y. L(x \ (y \ (z \ ((z * y) * x))),x,z * y) = a(z,y,y \ (z \ ((z * y) * x))). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). L(x \ L(y \ z,y,u),x,u * y) = ((u * y) * x) \ (u * z). x * (y * (y \ z)) != u * w | u \ (x * z) = w. R(x / (1 / y),1 / y,y) = x * y. R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. (x * (y * z)) / L(T(y,z),z,x) = x * z. ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). (1 / x) * (1 / x) = x \ (1 / x). (x * y) * ((1 / y) * (1 / y)) = x * (1 / y). x * ((1 / y) * (1 / y)) = (x / y) * (1 / y). (x * (y * y)) / z = x / (z / (y * y)). 1 / (x / (y * y)) = (y * y) / x. (x * (y * (z * z))) / u = (x * y) / (u / (z * z)). R(1 / x,x,y) * z = (y / (x * y)) * z. R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). ((x / y) \ x) * z != u | y \ u = z. (x * (y / (z * y))) / R(1 / z,z,y) = x. (x * y) / (z * z) = x * (y / (z * z)). K(x,y) * (1 / z) = K(x,y) / z. K(x,y) / (z \ 1) = K(x,y) * z. (K(x,y) * z) / u = K(x,y) * (z / u). (K(x,y) * z) / (u \ z) = K(x,y) * u. T(T((x * y) / x,z),x) = T(y,z). T(x,y) != z | (y * z) / y = x. R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). R(x / y,y,x \ z) \ z = y * (x \ z). ((x / y) * y) * z != u * w | (x * z) / w = u. a(x,y,1) = 1. L(1,x,y) = 1. R(x,K(y,z) * u,w) * (K(y,z) * (u * w)) = (x * (K(y,z) * u)) * w. K(x,y) \ (z * (K(x,y) * u)) = u * T(z,K(x,y) * u). (K(x,y) \ 1) * z = K(x,y) \ z. x \ (K(y,z) * (u * x)) = T(K(y,z) * u,x). (x * (K(y,z) * u)) \ (K(y,z) * (u * x)) = K(K(y,z) * u,x). (K(x,y) \ 1) * K(x,y) = 1. R(K(x,y),z,u) = K(x,y). T(K(x,y) * z,K(x,y)) = z * K(x,y). (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x,K(y,z) * u,w). (K(x,y) * (z * (u * w))) \ (((K(x,y) * z) * u) * w) = a(K(x,y) * z,u,w). (K(x,y) * (z * u)) \ (u * (K(x,y) * z)) = K(u,K(x,y) * z). (K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z). (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,K(y,z) * u,x). ((K(x,y) * (z * u)) * w) / (u * w) = R(K(x,y) * z,u,w). K(x,y) * z != (K(x,y) * u) * w | u * w = z. K(x,y) * (T(z,K(x,y)) * u) = (z * K(x,y)) * u. ((K(x,y) * z) * u) * w = K(x,y) * ((z * u) * w). K(x,1 / x) \ x = L(x,1 / x,x). x * T(x \ 1,x) = K(x \ 1,x). K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). ((x \ 1) * (x * y)) \ (K(x \ 1,x) * y) = a(x \ 1,x,y). (x * (y \ 1)) \ (x * K(y \ 1,y)) = L(y,y \ 1,x). K(x \ 1,x) * K(x,x \ 1) = 1. (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). L(T(x,y),y,1 / y) = (1 / y) * (x * y). x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). L(x,y \ 1,y) \ x = a(y,y \ 1,x). x * K(x \ 1,x) = L(x,x \ 1,x). x * (y * T(z,x * y)) = L(z,y,x) * (x * y). (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). (K(x,y) \ z) \ u = z \ (K(x,y) * u). L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y) = a(x,y,z). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). (K(x,y) \ z) \ 1 = z \ K(x,y). L(T(x,y),y,x) = T(x,x * y). x / L(y \ z,y,x / z) = (x / z) * y. (x * y) / L(T(z,z \ y),z \ y,x) = x * (z \ y). ((x / y) * z) * R(((x / y) * z) \ x,u,w) = (x / y) * (z * R(z \ y,u,w)). ((x / y) * z) * L(((x / y) * z) \ x,u,w) = (x / y) * (z * L(z \ y,u,w)). (x * y) \ (x * (z * y)) = T(L(z,y,x),y). L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). L(L(L(x,y,z) \ u,w,v5),L(x,y,z),z * y) = L((z * (y * x)) \ ((z * y) * u),w,v5). L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). L(L(x,y,z) \ x,L(x,y,z),z * y) = a(z,y,x). T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). L(x \ 1,x,y / x) * y = (y / x) * K(y \ (y / x),y). R(x,y,z * z) != u | x = u. L(R(x,L(x,y,z) \ u,w),y,z) \ (u * w) = (L(x,y,z) \ u) * w. x \ R(x,y,y \ 1) = a(x,y,y \ 1). x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). L(x,y,z) * x = x * L(x,y,z). (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). L(R(x,y,K(y,L(x,z,u))),z,u) \ (y * L(x,z,u)) = y * K(y,L(x,z,u)). L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R(T((x * y) / x,x * y),x,y) = y. R(T(x / y,y * z),y,z) = (y * z) \ (x * z). T((x * y) / (z * y),z) = R(z \ x,z,y). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). T(((x * y) * z) / (x * z),x) = R(y,x,z). T(x * (y * (z \ 1)),z * z) = (z * z) \ (x * (y * z)). K(T(x,y),x) = 1. x * (y * L(T(z,y),u,w)) = x * (L(z,u,w) * y). 1 / (x * x) = (x * x) \ 1. T(x,y * y) / (z * (y * y)) = ((y * y) \ x) / z. L(x \ y,x,x) * (x * x) = T(x * y,x * x). x * T(x \ (y * x),z) = T(y,z) * x. x * T(T(y,x),z) != u * x | T(y,z) = u. (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). T(x / y,z) * y = y * T(y \ x,z). x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. L(x,y,z) * (u / (w \ u)) = w * L(T(x,w),y,z). x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). x * L(x \ (y * x),z,u) = L(y,z,u) * x. x * L(L(T(y,x),z,u),w,v5) = L(L(y,z,u),w,v5) * x. x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). L(x / y,z,u) * y = y * L(y \ x,z,u). L((x * y) / x,z,u) * x = x * L(y,z,u). x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). L(R(x,y,z),u,w) * x = x * L(R(x,y,z),u,w). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). R(x / y,z,u) * y = y * R(y \ x,z,u). R((x * y) / x,z,u) * x = x * R(y,z,u). T(L(x,y,x),y) = T(x,x * y). T(R(x,y,T(x,y)),x * y) = T(x,y). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). (x * K(y,z)) \ (K(y,z) * u) = T(x,K(y,z)) \ u. L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). L(x \ T(x,y),x,y) = K(x,y). R(T(x,x * y),y,T(x,y)) = T(x,y). (T(x,x \ y) \ z) * u = (((x \ y) \ y) \ z) * u. L(x,x \ y,z) * (x \ y) = (x \ y) * ((z * (x \ y)) \ (z * y)). R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). (x * T(x \ y,z)) / x = T(y / x,z). (x * L(x \ y,z,u)) / x = L(y / x,z,u). T(x / (y * x),y) = R(y \ 1,y,x). T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w). R(T(x,y * T(z,x * y)),y,T(z,x * y)) = (y * T(z,x * y)) \ (z * (x * y)). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). (x * y) * L(L((x * y) \ z,u,w),v5,v6) = x * (y * L(L(y \ (x \ z),u,w),v5,v6)). (x * x) \ (y \ (x * x)) = T(y \ 1,x * x). (x \ (y * y)) / (y * y) = x \ 1. R(x / y,y,x) \ 1 = (y * x) / (x * x). (x * (y * x)) / ((y * x) * (y * x)) = R(y,x,y * x) \ 1. ((x * x) / y) \ 1 = y / (x * x). (x \ (y \ 1)) * (z * z) = x \ (y \ (z * z)). (x * x) \ (y * (z \ (x * x))) = T(y * (z \ 1),x * x). (x \ (y * y)) \ ((x \ 1) * (z * (y * y))) = L(T(z,y * y),y * y,x \ 1). (x \ y) / (z * z) = x \ (y / (z * z)). x \ (y * (z * (u * (w * w)))) = (x \ (y * (z * u))) * (w * w). (x \ (y * (z \ 1))) * (u * u) = x \ (y * (z \ (u * u))). T(R(x / y,y,T(z,y)),z * y) = (z * y) \ (x * T(z,y)). T(K(x,y) * (z / u),u) = u \ (K(x,y) * z). (K(x,y) * ((z * u) * w)) / (u * w) = K(x,y) * R(z,u,w). (x / y) * (y \ 1) = x / (y * y). x * (L(L(y,z,u),w,v5) \ v6) = x * (L(L(y,w,v5),z,u) \ v6). T(x / y,(z / y) \ z) = y \ x. x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). x * ((x \ y) * L((x \ y) \ 1,z,u)) = y * L(y \ x,z,u). ((x / y) * y) * z != u | x * z = u. x \ (x * y) != z | z = y. x * (y * (y \ z)) != u | x * z = u. x / (y \ x) != z | z = y. (x / y) \ x != z | z = y. x \ (x * y) != z | y = z. (K(x,y) \ 1) \ z = K(x,y) * z. (K(x,y) \ z) \ z = T(K(x,y),z). x * T(y,x) != z | y * x = z. (x * T(y,x)) / x != z | z = y. (x * T(y,x)) / x != z | y = z. (x * y) / T(z * z,u) = x * (y / T(z * z,u)). K(x \ y,y / x) = 1. 1 * x != y * z | x / z = y. (1 * x) / y != z | x / y = z. L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). (x \ (y \ (z \ 1))) * (z * z) = x \ (y \ z). ((x \ y) * (x \ y)) * T(y \ x,(x \ y) * (x \ y)) = L(x \ y,x \ y,x). 1 / (x * x) = x \ (x \ 1). x / (y * (z * (x * x))) = (x \ 1) / (y * z). (x \ 1) / R(y,x,x) = x / ((y * x) * x). (x * x) * L((x * x) \ x,y,z) = L(x \ 1,y,z) * (x * x). (x \ y) / (y * y) = x \ (y \ 1). (x / (y \ (z \ 1))) * (y \ z) = x * (z * z). (x * y) / (y * y) = x * (y \ 1). R(x / y,y,y) = x * (y \ 1). R(x,x \ y,x \ y) = y * ((x \ y) \ 1). (x * y) * (y \ 1) = R(x,y,y). x / ((y \ x) * (y \ x)) = y * ((y \ x) \ 1). T(x / (y \ 1),y) = y \ (x * (y * y)). ((x \ y) / ((y \ x) \ 1)) * (y \ x) = L(y \ x,y \ x,y). T(x / (y \ 1),y) = (y \ x) * (y * y). (x * (y * y)) / y = x / (y \ 1). (x \ (y \ 1)) / (y \ 1) = (x \ y) / y. L(R(x,y,y),z,u) / (y \ 1) = L(x,z,u) * y. R(x,y,y) / (y \ 1) = x * y. R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). T(x / y,x * (y \ 1)) = x / y. x * (y * L(z \ 1,z,u)) = x * (y * ((u * z) \ u)). (x * (y * z)) * T(((x * y) * L(z,y,x)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)). (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). L((1 / x) * (1 / x),y,z) = x \ (1 / x). R(x,y,z \ (1 / z)) = x. (x * y) * (y \ (1 / y)) = x * (1 / y). x / (y / ((1 / z) * (1 / z))) = (x * (z \ (1 / z))) / y. ((x * y) * z) / ((y * (z * (u * u))) / (u * u)) = R(x,y,z * (u * u)). R(x / ((1 / x) * x),y,z) / x = R(1 / (1 / x),y,z) * (1 / x). (x * (y / (z * z))) / u = (x * y) / (u * (z * z)). K(x \ 1,x) * (1 / x) = x \ 1. K(x,y) \ (K(x,y) / z) = 1 / z. (x \ 1) / (1 / x) = K(x \ 1,x). K(x,y) * ((1 / z) * u) = (K(x,y) / z) * u. (x * T(y,z)) / x = T((x * y) / x,z). x * T(K(y,z) * u,K(y,z) * x) = u * (K(y,z) * x). R(K(x,y),z,u) = K(x,y) / 1. R(T(K(x,y),z),u,w) = T(K(x,y),z). (x * K(y,z)) \ (K(y,z) * x) = K(K(y,z),K(y,z) * x). (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). (K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w). T(x,K(y,z)) * K(K(y,z),x) = x. K(x,y) * (((1 / z) * u) * w) = ((K(x,y) / z) * u) * w. (K(x,y) * (z * (u * w))) \ (K(x,y) * ((z * u) * w)) = a(K(x,y) * z,u,w). (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(1 \ (x * y),z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). (x \ 1) * (x * (y * (x \ 1))) = L(y,x \ 1,x) * (x \ 1). ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). L(T(x,y),y,z) * (z * y) = z * (T(x,z * y) * y). (1 / x) \ T(((1 / x) * x) \ y,z) = x * T(x \ ((1 / x) \ y),z). K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). L(L(x,y,z) \ x,(z * y) \ (z * (y * x)),z * y) = a(z,y,x). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). ((x * L(y,z,u)) * y) / (y * L(y,z,u)) = R(x,L(y,z,u),y). (L(x,y,z) * (x * u)) \ ((x * L(x,y,z)) * u) = a(L(x,y,z),x,u). (x * L(x,y,z)) \ (L(x,y,z) * (x * u)) = L(u,x,L(x,y,z)). (x * y) * R(T(x,x * y),z,u) = x * (y * R(T(x,y),z,u)). (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). x * T(y,y * x) = L(y,x,y) * x. (x * y) * L(L(T(x,x * y),z,u),w,v5) = x * (y * L(L(T(x,y),z,u),w,v5)). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). T(x \ y,y / x) = x \ y. x * (x \ y) != z * u | y / u = z. (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). L(R(L(x,y,z) \ x,u,w),L(x,y,z),z * y) = R(a(z,y,x),u,w). R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). R(T(1 / x,y),x,x \ y) = y \ (x \ y). R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. ((x * y) / (z * y)) * z = z * R(z \ x,z,y). T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. T((x * y) * (x \ 1),x) = R(y,x,x \ 1). T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). T((x * y) \ ((x * z) * y),x) = T(R(z,x,y),x * y). x * ((y * y) \ 1) = x / (y * y). (x * x) \ (x * y) = L(x \ y,x,x). (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). x * T(x \ y,z) != u * x | T(y / x,z) = u. (x \ y) * T(z * z,y) = x \ ((z * z) * y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). (x * y) * L(R(T(z,x * y),x,y),u,w) = (L(z,u,w) * x) * y. (x * ((y * x) \ y)) / x = L(1 / x,x,y). (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. x \ ((y * y) * L((y * y) \ z,u,w)) = (x \ L(z / (y * y),u,w)) * (y * y). L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). L(R(1 / x,x,x \ y),z,u) * y = y * L(y \ (x \ y),z,u). L(R(x / (y / z),y / z,z),u,w) * y = ((y / z) * L((y / z) \ x,u,w)) * z. (x * L(y,z,u)) / x = L((x * y) / x,z,u). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). L(L(x,y,z),u,w) * x = x * L(L(x,u,w),y,z). R(R(x / y,z,u),y,y \ 1) / (y \ 1) = y * R(y \ x,z,u). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x / (y * x)) * y = y * R(y \ 1,y,x). (x * R(x \ y,z,u)) \ R(y / x,z,u) = L(x \ 1,x,R(y / x,z,u)). ((x \ y) / y) * x = x * R(x \ 1,x,x \ y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). (x * y) * R((x * y) \ (y * z),u,w) = y * (T(x,y) * R(T(x,y) \ z,u,w)). ((x * y) * T(L(z,y,x),u)) / (x * y) = T((x * (y * z)) / (x * y),u). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). T((x * (y \ z)) / z,y) * z = ((y \ x) * y) * (y \ z). (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). (x * (y * (z * (u * u)))) / (w * (u * u)) = (x * (y * z)) / w. (x * y) \ (x * (y * (z * (u * u)))) = L(z,y,x) * (u * u). (x \ 1) \ (y / (x * x)) = T(y / x,x \ 1). x * ((x \ y) * L((x \ y) \ y,z,u)) = y * L(T(x,y),z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). (x \ y) \ (x \ (y * L(y \ x,z,u))) = L((x \ y) \ 1,z,u). (x * (x \ y)) * z != u | y * z = u. (x * y) \ (y * x) != z | K(y,x) = z. x \ (y * x) != z | T(y,x) = z. T((x * y) / x,x) != z | z = y. x \ (y * 1) != z | x \ y = z. x \ (1 * y) != z | x \ y = z. (x * y) \ x != z | L(y \ 1,y,x) = z. ((x / y) \ x) \ z != u | y \ z = u. x * (y * 1) != z | x * y = z. x * (y \ (y * z)) != u | x * z = u. x * (y / (z \ y)) != u | x * z = u. (x * (x \ y)) \ z != u | y \ z = u. T(x,x) != y | x = y. T((x * y) / x,x) != z | y = z. T(x / y,y) != z | y \ x = z. x / T(y * y,x) = (y * y) \ x. (1 / x) \ R((1 / x) * y,z,u) = x * R(x \ y,z,u). (1 / x) * (x \ 1) = x \ (x \ 1). (x * x) \ 1 = x \ (x \ 1). (x \ (x \ 1)) / y = 1 / (y * (x * x)). x * (y \ (y \ 1)) = x / (y * y). (x \ 1) / (y * y) = x \ (y \ (y \ 1)). (x \ 1) / (y * (x \ 1)) = x / (y * x). L(x \ 1,y,z) * (x * x) = x * (x * L(x \ 1,y,z)). x / (y \ (y \ 1)) = x * (y * y). R(x / y,y,x) \ 1 = y * (x \ 1). R(x,y,x * y) \ 1 = y * ((x * y) \ 1). R(x / y,y,x) = 1 / (y * (x \ 1)). (x * y) / (z * (y * y)) = (x * (y \ 1)) / z. (x * y) \ R(x,y,y) = y \ 1. T(x * (y \ 1),y) = R(y \ x,y,y). T((x * y) * (x \ 1),x) = R(y,x,x). R(R(x,y,z) / x,x,x) = (x \ 1) * R((x \ 1) \ 1,y,z). L(x * (y \ 1),z,u) * (y * y) = (L(x / y,z,u) * y) * y. x * R(x \ y,x,x) = (y * (x \ 1)) * x. ((x * y) * (x \ 1)) * x = x * R(y,x,x). (x \ 1) * T(y * x,x \ 1) = R(y,x,x). R(x,y,y \ 1) = R(x,y,y). L((x \ 1) \ y,x \ 1,z * x) = R(z,x,x) \ ((z * x) * y). a(x,y,y \ 1) = x \ R(x,y,y). T(x / (y \ 1),y) / (y * y) = y \ x. L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. T(x * (y \ 1),x / y) = x * (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 * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). L(x \ (1 / x),y,z) = x \ (1 / x). (x * y) * (z \ (1 / z)) = x * (y * (z \ (1 / z))). x * ((x \ y) * (z \ (1 / z))) = y * (z \ (1 / z)). (x \ (1 / x)) \ 1 = (1 / x) \ x. x \ (y * (z \ (1 / z))) = (x \ y) * (z \ (1 / z)). (x \ y) \ (1 / (x \ y)) = y \ (x * (1 / (x \ y))). ((x * y) * z) / (y * ((z * (u * u)) / (u * u))) = R(x,y,z * (u * u)). R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. (x * (y * z)) / (u * (z * z)) = (x * (y * (z \ 1))) / u. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. (x / y) * (y \ x) = (y \ x) * (x / y). L(x,y,K(z,u) * w) = (w * y) \ (w * (y * x)). K(x,y) * R(z,u,w) = R(K(x,y) * z,u,w). R(K(x,y),((1 / z) * u) * w,v5) \ ((((K(x,y) / z) * u) * w) * v5) = (((1 / z) * u) * w) * v5. a(K(x,y) * z,u,w) = (z * (u * w)) \ ((z * u) * w). (1 / x) * (L(y,z,u) * x) = L((1 / x) * (y * x),z,u). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) \ (x \ L(x * y,z,u)) = L((x \ 1) \ y,z,u). x \ L(x * (y * (x \ 1)),z,u) = L(y,z,u) * (x \ 1). x * (L(y,z,u) * (x \ 1)) = L(x * (y * (x \ 1)),z,u). x \ R(1 \ (x * 1),y,z) = R(x,y,z) * (x \ 1). (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). (L(x,y,z) * (z * y)) * a(z,y,T(x,z * y)) = x * (z * y). (L(x,T(y,z),z) * (y * z)) \ (x * (z * T(y,z))) = a(z,T(y,z),T(x,z * T(y,z))). x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). x * ((x \ y) * R((x \ y) \ y,z,u)) = y * R(T(x,y),z,u). (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). ((x * y) \ (x * (y * z))) * L(((x * y) \ (x * (y * z))) \ z,u,w) = (x * y) \ ((x * (y * z)) * L(a(x,y,z),u,w)). x * (y * R(T(x,y),x,y)) = (x * x) * y. x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). (x * T(y,y * x)) / x = L(y,x,y). x * (y * L(L(T(x,y),z,u),w,v5)) = L(L(x,z,u),w,v5) * (x * y). x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). (1 / x) * ((x \ 1) * x) = T(1 / x,x). T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z. R(T(x / y,x),y,y \ x) = y \ x. (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). T((x * y) \ ((x * z) * y),x) = (x * y) \ ((z * x) * y). (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. ((x * x) \ y) \ y = T(x * x,y). x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. x \ (y * (y * L(y \ (y \ z),u,w))) = (x \ L(z / (y * y),u,w)) * (y * y). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). ((x / y) * L((x / y) \ z,u,w)) * y = L((z * y) / x,u,w) * x. (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * R((x * y) \ ((x * z) * y),u,w) = (x * R(z,u,w)) * y. (x * R(x \ 1,x,x \ y)) \ R(1 / x,x,x \ y) = L(x \ 1,x,(x \ y) / y). ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. x * (T(y,x) * R(T(y,x) \ z,u,w)) = y * (x * R(x \ (y \ (x * z)),u,w)). (x * (y * T(z,u))) / (x * y) = T((x * (y * z)) / (x * y),u). x * (y * L(y \ (x \ (z * y)),u,w)) = (L(z / x,u,w) * x) * y. (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. R(T(x,y * x),y,x) = T(x,y). L(x,y,z) * (u * u) = L(x * (u * u),y,z). x * L(T(y,x),z,u) = y * (L(y,z,u) * (y \ x)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). x \ (y * L(y \ (x * (x \ (y * L(y \ x,z,u)))),w,v5)) = (x \ y) * L(L((x \ y) \ 1,z,u),w,v5). ((x / y) \ x) * z != u | y * z = u. T(x,y) != z | y \ (x * y) = z. T(x,x \ y) != z | (x \ y) \ y = z. (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). L((x \ 1) \ y,x \ 1,1 / x) = (x \ (x \ 1)) \ ((1 / x) * y). (x * (x \ y)) / z != u | y / z = u. K(x,1 / x) \ x = 1 / (1 / x). x / (1 / (1 / x)) = K(x,1 / x). T(x * (y * y),y \ (y \ 1)) = (y \ (y \ 1)) \ x. x \ (x / (y * y)) = y \ (y \ 1). (x \ y) \ ((x \ y) \ 1) = y \ (x * ((x \ y) \ 1)). (x * (y * y)) \ x = y \ (y \ 1). x / ((1 / y) * (1 / y)) = x * ((1 / y) \ y). (x \ 1) \ (y \ (x \ (x \ 1))) = T((y \ 1) / x,x \ 1). (x \ 1) * (1 / x) = x \ (x \ 1). (x \ 1) \ (x \ (x \ 1)) = 1 / x. (x \ L(x \ 1,y,z)) * (x * x) = x * L(x \ 1,y,z). R(x,R(y / z,z,y),R(y / z,z,y) \ 1) = (x * R(y / z,z,y)) * (z * (y \ 1)). ((x * y) * z) / ((y * (z \ 1)) * (z * z)) = R(x,y,z \ 1). R(x \ (y / (x \ 1)),x,x) = T(y,x). L(x * (y \ 1),z,u) * (y * y) = (y * L(y \ x,z,u)) * y. x \ (y * (x \ 1)) = T(y,x) / (x * x). T(x * y,y) / (y * y) = y \ R(x,y,y). L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). (x * L(y,z,u)) * (x \ 1) = L((x * y) * (x \ 1),z,u). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = y * (x * R(x \ (y \ x),z,u)). x * ((y \ (1 / y)) * ((1 / y) \ y)) = x. R(x,y,z * (u * u)) = ((x * y) * z) / (y * z). (1 / x) * R(x,y,z) = R(x,y,z) / x. (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. (x * (y * (z \ 1))) / (z \ 1) = (x * (y * z)) / z. (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x * y) \ ((y * x) * y) = T(y,x). (x * y) * T(y,x) = (y * x) * y. ((x * T(y,x * y)) * y) / (x * y) = y. R(T(x,y),y / x,x) = T(x,y / x). ((x \ 1) * x) \ x = T(x,x \ 1). T(x,1 / x) / x = x * (1 / x). L(x,y,K(z,u) * w) = L(x,y,w). R(K(x,y) * z,u,w) * v5 = K(x,y) * (R(z,u,w) * v5). T(R(K(x,y) * z,u,w),K(x,y)) = R(z,u,w) * K(x,y). K(x,y) \ ((((K(x,y) / z) * u) * w) * v5) = (((1 / z) * u) * w) * v5. a(K(x,y) * z,u,w) = a(z,u,w). L(x,y,z) * (x \ 1) = x \ L(x,y,z). (x \ L(x,y,z)) / (x \ 1) = L(x,y,z). L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. (x \ 1) * L(T(x,x \ 1),y,z) = x \ L(x,y,z). (x \ 1) \ (x \ L(y,z,u)) = L((x \ 1) \ (x \ y),z,u). L(x,y,z) * (x * (L(x,y,z) \ 1)) = x. R(x,y,z) * (x \ 1) = x \ R(x,y,z). R(R(x,y,z) / x,x,x) = x \ R(x,y,z). R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. (L(x,T(y,z),z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,z * T(y,z))). x * R(T(y,x),z,u) = y * (R(y,z,u) * (y \ x)). x \ (y \ ((y * y) * x)) = R(T(y,x),y,x). x * (R(x,x,y) * y) = (x * x) * y. R(x,y,z) * (x * u) = x * (R(x,y,z) * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. L(L(x,y,z),u,w) * (x * v5) = x * (L(L(x,y,z),u,w) * v5). x * (T(x,y) * (x \ 1)) = T(x,y). (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * L(y,z,u)) * y = (x * y) * L(y,z,u). (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. (x * L(x \ 1,y,z)) * x = x * (x * L(x \ 1,y,z)). x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). T(x,x * L(x \ 1,y,z)) = x. T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. (x * R(y,z,u)) * y = (x * y) * R(y,z,u). T((x * (y * z)) / (x * y),y) = (x * (z * y)) / (x * y). (x * (y * T(T(z,y),u))) / (x * y) = T((x * (z * y)) / (x * y),u). x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. (x * y) \ ((x * L(x \ z,u,w)) * y) = L((x * y) \ (z * y),u,w). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). (x \ (y * z)) * L((x \ (y * z)) \ z,u,w) = x \ ((y * L(y \ x,u,w)) * z). (1 / x) \ R(1 / x,x,y) = (y / (x * y)) * x. (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). L(R(x,y,y) * (y * y),z,u) = (L(x,z,u) * y) * y. x \ L(y * (z * z),u,w) = (x \ L(y,u,w)) * (z * z). L(x * ((1 / y) * (1 / y)),z,u) = L(x,z,u) * (y \ (1 / y)). (x * R(y / z,z,y)) * (z * (y \ 1)) = R(x,R(y / z,z,y),z * (y \ 1)). ((x * y) * z) / (y * ((z \ 1) * (z * z))) = R(x,y,z \ 1). L((x * (y \ 1)) * (y * y),z,u) = (y * L(y \ x,z,u)) * y. x * L(x \ (y / (x \ 1)),z,u) = L(y,z,u) / (x \ 1). (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). L(1 / x,x \ 1,x) = x \ 1. x * (y \ (z * ((z \ y) \ 1))) = x / ((z \ y) * (z \ y)). x * (y / ((1 / z) * (1 / z))) = (x * y) * ((1 / z) \ z). x / (y \ (1 / y)) = x * ((1 / y) \ y). (x * (y \ (1 / y))) / z = x / (z * ((1 / y) \ y)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x,y,K(z,u) * K(w,v5)) = x. L(x,y,K(z,u) * L(L(w,v5,v6),v7,v8)) = L(x,y,L(L(w,v7,v8),v5,v6)). L(x,y,(K(z,u) * w) * v5) = L(x,y,w * v5). a(1 * x,y,z) = a(x,y,z). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x * (L(x,y,z) * (x \ L(x,u,w))) = L(x,u,w) * L(x,y,z). (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) * L(L((x \ y) \ 1,z,u),w,v5) = x \ (y * L(L(y \ x,z,u),w,v5)). (L(x,T(y,z),z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). R(x \ R(x,y,z),u,w) / (x \ 1) = x * R(x \ R(x,y,z),u,w). (x \ L(x,y,z)) * L(u,x \ 1,L(x,y,z)) = L(x,y,z) * ((x \ 1) * u). (x \ L(x,y,z)) \ (L(x,y,z) * ((x \ 1) * u)) = L(u,x \ 1,L(x,y,z)). (x \ (y \ z)) \ L(x \ (y \ z),x,y) = ((y * x) \ z) * ((x \ (y \ z)) \ 1). 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). 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 \ ((x * x) * y) = R(x,x,y) * y. R(x,x,(x * x) \ y) * ((x * x) \ y) = x \ y. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). x * (R(x,y,z) \ (x \ u)) = R(x,y,z) \ u. x * (R(x,y,z) \ 1) = R(x,y,z) \ x. x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). L(x,y,z) * (x * (L(x,y,z) \ u)) = x * u. L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. x * (L(x,y,z) \ 1) = L(x,y,z) \ x. L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. (x * (L(x,y,z) * u)) \ ((x * L(x,y,z)) * u) = a(L(x,y,z),x,u). (x * L(x,y,z)) \ (x * (L(x,y,z) * u)) = L(u,x,L(x,y,z)). 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) \ (x \ v5)) = L(L(x,y,z),u,w) \ v5. x * (L(L(x,y,z),u,w) \ 1) = L(L(x,y,z),u,w) \ x. L(L(x,y,z),u,w) * (x \ 1) = x \ L(L(x,y,z),u,w). x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. L(x,y,z) * (L(x,u,w) \ 1) = L(x,u,w) \ L(x,y,z). (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). (x * (y * T(y \ (x \ z),u))) / y = x * T(x \ (z / y),u). x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). T(x,x * ((y * x) \ y)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). (x * L(x \ 1,y,x)) * (x \ y) = y * ((x * y) \ y). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. ((x / L(y,z,u)) * y) * L(y,z,u) = x * y. ((x / y) * L(y,z,u)) * y = x * L(y,z,u). (x * L(y,y,x)) * y = x * (y * y). (x * L(y,z,u)) / y = (x / y) * L(y,z,u). (x * (y * y)) / y = x * L(y,y,x). (1 / x) * L(x,y,z) = L(x,y,z) / x. ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. (x / L(x \ y,z,u)) * (x \ y) = y / L(x \ 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 * y) * L(y,z,u)) / (y * L(y,z,u)) = R(x,L(y,z,u),y). x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. x * L(y,y,x) = x / (y \ 1). x * L(1 / y,1 / y,x) = x / y. (x * ((y * L(y \ 1,z,u)) * y)) / y = (x * L(y \ 1,z,u)) / (y \ 1). (x / L(y,z,u)) / y = (x / y) / L(y,z,u). R(x,L(y,z,u),y) = R(x,y,L(y,z,u)). x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. x * (T(y,z) * R(T(y,z) \ (x \ (y * z)),u,w)) = (x * R(x \ z,u,w)) * T(y,z). x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T((x / y) * R(y,z,u),y) = y \ (x * R(y,z,u)). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. (x * y) / R(y,z,u) = (x / R(y,z,u)) * y. ((x / y) / R(y,z,u)) * y = x / R(y,z,u). ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). (x * (y * (z \ (x * y)))) / (z \ (x * y)) = z * L(z \ (x * y),y,x). ((x * L(y,z,u)) / y) * L(y,L(y,z,u),x) = (x * (y * L(y,z,u))) / y. L(x,x,y) = y \ (y / (x \ 1)). L(x,x,R(y,x,x)) = R(y,x,x) \ (y * x). 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)). L(1 / x,1 / x,y) = y \ (y / x). (L(x,y,z) * u) * u = L((x * u) * u,y,z). (x \ L(y / (z * z),u,w)) * (z * z) = x \ L(y,u,w). (x \ L(y \ 1,z,u)) * (y * y) = x \ L(y,z,u). x \ L(L(y * (z * z),u,w),v5,v6) = (x \ L(L(y,u,w),v5,v6)) * (z * z). L(x,y,z) * (x \ (1 / x)) = L(1 / x,y,z). L(x * ((y \ 1) * (y * y)),z,u) = (y * L(y \ x,z,u)) * y. ((x * y) * z) / (y * z) = R(x,y,z \ 1). L(x \ 1,x \ 1,x) = T(x \ 1,x). (x \ 1) * L(1 / x,y,z) = x \ L(x \ 1,y,z). (x \ 1) * R(1 / x,y,z) = x \ R(x \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). R(x,y,z * (u * u)) = R(x,y,z). L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,L(L(z,v5,v6),u,w)). (x \ L(x,y,z)) * (u * u) = L(x,y,z) * (x \ (u * u)). L(x,y,z) * (x \ L(u,x \ L(x,y,z),x)) = (x \ L(x,y,z)) * u. L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). x \ (x * y) = L(y,1,x). L(x,1,y) = x. L(x,1,y) = z \ (z * x). ((x * y) \ z) * ((y \ (x \ z)) \ 1) = (y \ (x \ z)) \ ((x * 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). R(x,y,x) * T(y,x) = T(x * y,x). x * (L(x,y,z) \ (L(x,u,w) * (x \ v5))) = L(x,y,z) \ (L(x,u,w) * v5). x * (L(x,y,z) \ ((x \ 1) * u)) = L(x,y,z) \ L(u,x \ 1,x). L(L(x,y,z),u,w) \ (L(x,u,w) * v5) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x \ L(x,y,z),x). (x * y) * L(z,x * (L(x,u,w) \ y),L(x,u,w)) = L(x,u,w) * ((x * (L(x,u,w) \ y)) * z). (L(x,y,z) \ x) * L((L(x,y,z) \ x) \ (L(x,y,z) \ u),w,v5) = x * (L(x,y,z) \ L(x \ u,w,v5)). R(x / L(x,y,z),L(x,y,z),L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) \ 1) / (L(x,y,z) \ x) = R(1 / x,x,L(x,y,z) \ 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) \ (L(x,u,w) \ 1)) = L(x,y,z) \ (L(x,u,w) \ x). x * ((L(x,y,z) \ 1) * T((L(x,y,z) \ 1) \ (x \ u),w)) = (L(x,y,z) \ x) * T((x * (L(x,y,z) \ 1)) \ u,w). a(L(x,y,z),x,u) = a(x,L(x,y,z),u). L(x,L(y,z,u),y) = L(x,y,L(y,z,u)). x \ (L(L(x,y,z),u,w) \ x) = L(L(x,y,z),u,w) \ 1. (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). x * (y * (L(y,z,u) \ ((y \ L(y,z,u)) \ 1))) = x / ((y \ L(y,z,u)) * (y \ L(y,z,u))). (x * y) * ((1 / z) \ z) = x * (y * ((1 / z) \ z)). x / ((1 / y) \ y) = x * (y \ (1 / y)). x \ (x / T(y,y \ 1)) = L(y \ 1,y \ 1,x). (x / (y \ 1)) * K(x \ (x / (y \ 1)),x) = L(y,y,x) * x. x * (y \ L(L(z,u,w),z,v5)) = x * (y \ L(v5 \ (v5 / (z \ 1)),u,w)). L((x / (y \ 1)) \ x,(x / (y \ 1)) \ x,x / (y \ 1)) = L(y,y,x) * (((x / (y \ 1)) \ x) * ((x / (y \ 1)) \ x)). L(x,y,z) * (x \ 1) = x * L(x \ 1,y,z). L(x,y,z) / (u * u) = L(x / (u * u),y,z). x * (x * L(x \ (x \ y),z,u)) = L(y,z,u). (x * x) * L((x * x) \ y,z,u) = L(y,z,u). x * L(x \ 1,y,z) = x \ L(x,y,z). L(x,y,z) / (x * x) = L(x \ 1,y,z). x \ (x \ L(x,y,z)) = L(x \ 1,y,z). L(x,y,z) * (1 / x) = x * L(1 / x,y,z). (x * L(x \ y,z,u)) * x = L(y * x,z,u). R(x,y,z \ 1) = R(x,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). R(x,y,z * (u * (w * w))) = R(x,y,z * u). R(x,y,z / (u * u)) = R(x,y,z). R(x,y,z \ (u * (w * w))) = R(x,y,z \ u). R(x,y,1 / z) = R(x,y,z). R(x,y,z \ (u * u)) = R(x,y,z \ 1). R(x,y,z \ (u / (w * w))) = R(x,y,z \ u). R(x,y,(z / (u \ 1)) * u) = R(x,y,z). R(x,y,z * (u \ (1 / u))) = R(x,y,z). R(x,y,z * (1 / u)) = R(x,y,z * u). R(x,y,L(z * (u * u),w,v5)) = R(x,y,L(z,w,v5)). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,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)). L(x,y,z) * (L(x,u,w) \ x) = x * (L(x,u,w) \ L(x,y,z)). x / (L(x,y,z) * L(x,y,z)) = L(x,y,z) \ (L(x,y,z) \ x). x * ((L(x,y,z) \ 1) * T((L(x,y,z) \ 1) \ (x \ u),w)) = (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ 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,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). L((x / (y \ 1)) \ x,(x / (y \ 1)) \ x,x / (y \ 1)) = L(y,y,x) * ((y \ 1) * ((x / (y \ 1)) \ x)). (x * x) * L(y,z,u) = L((x * x) * y,z,u). x * L(x \ (x \ y),z,u) = x \ L(y,z,u). x * L(x \ (y / x),z,u) = L(y,z,u) / x. L(x * y,z,u) / y = y * L(y \ x,z,u). (x * x) \ L(y,z,u) = L((x * x) \ y,z,u). x * (x * L(x \ y,z,u)) = L(x * y,z,u). x * (x * L(y,z,u)) = L(x * (x * y),z,u). x * (x * ((x * x) \ y)) = L(y,x,x). L((x * x) * y,x,x) = x * (x * y). x * ((x * x) \ y) = x \ L(y,x,x). x * (R(x,x,(x * x) \ y) \ y) = L(y,x,x). L(L((x * x) * y,z,u),x,x) = L(x * (x * y),z,u). R(x,y,(z \ 1) \ 1) = R(x,y,z). (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). R(x / y,y,z) = (x * (z \ 1)) / (y * (z \ 1)). R(x,x \ 1,x) = (x \ 1) \ 1. R(x / y,y,1 / y) = x * (y \ 1). R(1 / x,x,1 / x) = x \ 1. x * (x \ y) != z * u | z \ y = u. (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,y). R(x,y,y) * ((y \ 1) \ 1) = R(x * y,y \ 1,y). R(x,y,y) * T(y,y \ 1) = R(x * y,y \ 1,y). x \ L(x * y,z,u) = x * L(x \ y,z,u). (1 / x) \ L(1 / x,y,z) = x \ L(x,y,z). (x \ 1) \ L(x \ 1,y,z) = x \ L(x,y,z). (x \ y) \ L(x \ y,z,u) = x \ (y * L(y \ x,z,u)). ((1 / x) * y) \ L((1 / x) * y,z,u) = (1 / x) * (y * L(y \ x,z,u)). x * (y * L(y \ (x \ 1),z,u)) = (x * y) \ L(x * y,z,u). (x * y) \ L(x * y,y,x) = x * (y * ((x * y) \ 1)). (x \ 1) * (x \ L(x,y,z)) = L(x \ 1,y,z). (x \ y) * (x \ (y * L(y \ x,z,u))) = L(x \ y,z,u). x * (L(x,y,z) * L(x \ 1,u,w)) = L(x,y,z) * (x \ L(x,u,w)). (x \ L(x,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). x * (y * L(y \ (x \ y),z,u)) = (x \ L(x,z,u)) * y. T(x,x \ L(x,y,z)) = x. (x \ L(x,y,x)) * (x \ y) = y * ((x * y) \ y). (x \ L(x,y,z)) * (x \ 1) = L(x \ 1,y,z). 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(x,y,z) / (x * x) = x \ (x \ L(x,y,z)). (x * (y * z)) * ((1 / u) \ u) = x * (y * (z * ((1 / u) \ u))). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). R(x,y,z * (u / (w * w))) = R(x,y,z * u). R(x,y,z * ((u * w) * w)) = R(x,y,z * R(u,w,w)). R(x,y,z * (u \ 1)) = R(x,y,z * u). R(x,y,L(z \ 1,u,w)) = R(x,y,L(z,u,w)). R(x,y,L(z,u,w) \ z) = R(x,y,z * L(z,u,w)). R(x,y,z \ (u * u)) = R(x,y,z). R(x,y,z \ (u * (w \ 1))) = R(x,y,z \ (u * w)). R(x,y,z \ L(z,u,w)) = R(x,y,L(z,u,w) * z). R(x,y,L(1 / z,u,w)) = R(x,y,L(z,u,w)). L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). L(x,y,z) \ L(x * L(x \ 1,u,w),y,z) = L(L(x,y,z) \ 1,u,w). (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ u,w) = x * (L(x,y,z) \ T(L(x,y,z) * (x \ u),w)). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). (x \ L(x,y,z)) \ L(x,y,z) = x. T(x \ L(x,y,z),x) = x \ L(x,y,z). L(x,y,z) / x = x \ L(x,y,z). (x \ L(x,y,z)) * x = L(x,y,z). L(x,y,z) * (x \ L(x,u,w)) = (x \ L(x,u,w)) * L(x,y,z). (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). ((x * (y \ L(y,z,u))) * y) / L(y,z,u) = R(x,y \ L(y,z,u),y). L(x,y,z) * L(u,x,x \ L(x,y,z)) = (x \ L(x,y,z)) * (x * u). L(x,y,z) \ ((x \ L(x,y,z)) * (x * u)) = L(u,x,x \ L(x,y,z)). ((x \ L(x,y,z)) * (u * x)) / ((x \ L(x,y,z)) * x) = T(((x \ L(x,y,z)) * (x * u)) / L(x,y,z),x). (L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u) = L(u,x,x \ L(x,y,z)). T(x,L(x \ 1,y,z)) = (x \ 1) \ 1. (x \ y) * L((x \ y) \ 1,x \ y,x) = ((x \ y) \ 1) \ (y \ x). (x \ 1) * L(x * L(x \ 1,y,z),u,w) = x \ L(x * L(x \ 1,y,z),u,w). ((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x). x \ L(x * L(x \ 1,y,z),u,w) = (x \ 1) * L(x \ L(x,y,z),u,w). 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) = L(x,y,z) * (x \ L(x,u,w)). L((x / (y \ 1)) \ x,(x / (y \ 1)) \ x,x / (y \ 1)) = L(y,y,x) * ((y \ 1) * (y \ 1)). L(L(x,y,z) \ (L(x,y,z) \ x),y,z) = L(x,y,z) \ 1. 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(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). x \ (L(y,z,u) / x) = L(x \ (y / x),z,u). (x \ y) * L((x \ y) \ x,z,u) = L(y,z,u) / (x \ y). (x \ 1) * L((x \ 1) \ y,z,u) = x * L(x \ y,z,u). x * L(x \ y,x \ 1,x) = (x \ 1) * (x * y). L(x \ (y * L(y \ z,u,w)),x,y) = (y * x) \ L(y * z,u,w). x * (L(y,z,u) * x) = L(x * (y * x),z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). (x \ L(x * y,z,u)) * x = L(y * x,z,u). (x \ L(x,y,z)) * (u * u) = x * L(x \ (u * u),y,z). x \ ((x \ 1) * (x * y)) = L(x \ y,x \ 1,x). (x / (y \ 1)) * L((x / (y \ 1)) \ y,z,u) = (x / (y \ 1)) \ L(x * (y * y),z,u). (R(x,y,z) \ x) * (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) = L(R(x,y,z) \ x,u,w). (x \ y) * ((x \ y) * (y \ x)) = L(x \ y,x \ y,x). L(x \ 1,x,y) \ L((y * x) \ y,z,u) = (y * x) \ (y * L(y \ (y * x),z,u)). (x \ y) \ ((z * x) \ (z * y)) = x \ (y * L(y \ x,x,z)). (x \ (y * L(y \ x,z,u))) * (x \ y) = L(x \ y,z,u). x \ ((y \ z) * L((y \ z) \ x,x,y)) = (x \ (y \ z)) \ ((y * x) \ z). ((1 / (x * y)) * x) \ L((1 / (x * y)) * x,z,u) = (1 / (x * y)) * (x * L(y,z,u)). x * ((y / (z * z)) * L((y / (z * z)) \ (x \ 1),u,w)) = ((x * y) / (z * z)) \ L(x * (y / (z * z)),u,w). L((x \ L(x,y,z)) * (x \ L(x,y,z)),u,w) = L(x,y,z) * L(L(x,y,z) \ (x \ L(x,y,z)),y,z). (x * y) * (L(z,u,w) * L(L(z,u,w) \ (z \ L(z,u,w)),u,w)) = x * (y * ((z \ L(z,u,w)) * (z \ L(z,u,w)))). (x \ 1) * (L(y,z,u) * L(L(y,z,u) \ (y \ L(y,z,u)),z,u)) = x \ ((y \ L(y,z,u)) * (y \ L(y,z,u))). (x * (L(y,z,u) * L(L(y,z,u) \ (y \ L(y,z,u)),z,u))) / w = x / (w / ((y \ L(y,z,u)) * (y \ L(y,z,u)))). x * ((x \ L(x,y,z)) * (x \ u)) = (x \ L(x,y,z)) * u. (x \ L(x,y,z)) * (x * u) = x * ((x \ L(x,y,z)) * u). (x / (y \ 1)) * L((x / (y \ 1)) \ (x * 1),z,u) = x * (L(y,y,x) \ L(L(y,y,x),z,u)). (x \ 1) * L(x \ L(x,y,z),u,w) = x \ L(x \ L(x,y,z),u,w). R(x,y,z * (u * (w \ 1))) = R(x,y,z * (u * w)). R(x,y,(z \ 1) * z) = x. (x * R(y / z,z,y)) * (z * (y \ 1)) = R(x,R(y / z,z,y),z * y). R(x,y,K(z \ 1,z)) = x. R(x,y,z * (u * (z * u))) = R(x,y,a(z,u,z * u)). R(x,y,L(z \ u,z,u)) = R(x,y,u * z). R(x,y,z \ (L(L(u,w,v5),v6,v7) \ u)) = R(x,y,z \ (u * L(L(u,w,v5),v6,v7))). R(x,y,z \ L(z,u,w)) = R(x,y,z * L(z,u,w)). L(x,y,z) \ L(L(x,y,z),u,w) = L(x * L(x \ 1,u,w),y,z). L(x,y,z) \ L(x \ L(x,u,w),y,z) = L(L(x,y,z) \ 1,u,w). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). L((x / (y \ 1)) \ x,(x / (y \ 1)) \ x,x / (y \ 1)) = L(y * ((y \ 1) * (y \ 1)),y,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)). (x \ y) \ L(L(x \ y,z,u),w,v5) = x \ (y * L(L(y \ x,z,u),w,v5)). R(x,y,K(z \ 1,z)) != u | x = u. T((x * y) / x,y * x) = L(y,x,y). (L(x,y,z) \ x) * L(x,y,z) = x. L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. (L(x,y,z) \ x) * L(x,y,z) = 1 * x. x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). (1 / L(x,y,z)) * x = L(x,y,z) \ x. a(x,x \ 1,y) \ y = L(y,x \ 1,x). x * (L(x,y,z) \ 1) = x / L(x,y,z). (x * y) / (L(x * (y \ 1),z,u) * (y * y)) = L(x * (y \ 1),z,u) \ (x * (y \ 1)). R(L(x,y,z) \ x,L(x,y,z),L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) \ x) / x = 1 / L(x,y,z). L(x * (y \ 1),z,u) \ (x * (y \ 1)) = (x * y) / ((y * L(y \ x,z,u)) * y). (x \ y) \ L((x \ y) * x,z,u) = L(y,z,u) / (x \ y). (x \ 1) \ (L(y,z,u) / x) = L((x \ 1) \ (y / x),z,u). (x \ (y \ 1)) * L((x \ (y \ 1)) \ z,u,w) = x \ (y * L(y \ (x * z),u,w)). ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). x \ (y * L(y \ (z * z),u,w)) = (x \ (y \ L(y,u,w))) * (z * z). (x / (y \ 1)) * L((x / (y \ 1)) \ y,z,u) = ((x / (y \ 1)) \ L(x,z,u)) * (y * y). (R(x,y,z) \ x) * (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) = 1 * L(R(x,y,z) \ x,u,w). (x \ y) \ (x \ (x / ((x \ y) \ 1))) = (x \ y) * (y \ x). ((x \ y) * (x \ y)) * L(y \ x,x \ y,x \ y) = L(x \ y,x \ y,x). L(x \ 1,x,y) \ L((y * x) \ y,z,u) = (y * x) \ (y * L(x,z,u)). ((x \ y) * (y \ x)) * (x \ y) = L(x \ y,x \ y,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(x,y,z) \ (x * L(x \ L(x,y,z),u,w))) * (L(x,y,z) \ x) = L(x / L(x,y,z),u,w). x * (y * ((z \ L(z,u,w)) * (z \ L(z,u,w)))) = (x * y) * (L(z,u,w) * L(z \ 1,u,w)). x \ ((y \ L(y,z,u)) * (y \ L(y,z,u))) = (x \ 1) * (L(y,z,u) * L(y \ 1,z,u)). x / (y / ((z \ L(z,u,w)) * (z \ L(z,u,w)))) = (x * (L(z,u,w) * L(z \ 1,u,w))) / y. x * ((x \ L(x,y,z)) * (x \ ((x \ L(x,y,z)) \ u))) = u. (x \ y) * ((y \ L(y,z,u)) * (y \ L(y,z,u))) = x \ ((y \ L(y,z,u)) * L(y,z,u)). ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) = a(x,x \ L(x,y,z),x \ u). ((x \ L(x,y,z)) * (x * u)) / w = (x * ((x \ L(x,y,z)) * u)) / w. (x \ L(x,y,z)) \ (L(x,u,w) * L(x,y,z)) = x * L(x,u,w). (x \ L(x,y,z)) \ (x * u) = x * ((x \ L(x,y,z)) \ u). L(x,y,z) \ (x * ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). (x / (y \ 1)) * L((x / (y \ 1)) \ x,z,u) = x * (L(y,y,x) \ L(L(y,y,x),z,u)). (x \ 1) \ (x \ L(x \ L(x,y,z),u,w)) = L(x \ L(x,y,z),u,w). R(x,y,z * (L(u,w,v5) \ u)) = R(x,y,z * (u * L(u,w,v5))). L(L(x \ 1,x \ 1,x),x,y) = L((y / (x \ 1)) \ y,(y / (x \ 1)) \ y,y / (x \ 1)). L(x,y,z) \ L(L(x,y,z),u,w) = L(x \ L(x,u,w),y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x \ L(x,u,w),y,z). (x * y) \ ((x * (y * z)) * L(L((x * (y * z)) \ (x * y),u,w),v5,v6)) = L(z,y,x) \ L(L((x * y) \ (x * (y * z)),u,w),v5,v6). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). (x \ (y \ 1)) * L((x \ (y \ 1)) \ z,u,w) = (x \ y) * L((x \ y) \ z,u,w). T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). (R(x,y,z) \ x) * (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) = 1 * L(1 \ (R(x,y,z) \ x),u,w). (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) * (L(x,y,z) \ x) = L(x / L(x,y,z),u,w). (x \ L(x,y,z)) \ (x \ u) = x \ ((x \ L(x,y,z)) \ u). (x \ y) * ((y \ L(y,z,u)) * (y \ L(y,z,u))) = x \ (L(y,z,u) * (y \ L(y,z,u))). x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). L(x,y \ L(y,z,u),y) = L(x,y,y \ L(y,z,u)). x * (L(y,y,x) \ L(L(y,y,x),z,u)) = (x / (y \ 1)) * L(y \ 1,z,u). L(x,y,z) * L(x \ L(x,u,w),y,z) = L(L(x,y,z),u,w). L(x,y,z) \ L(L(x,u,w),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,u,w),y,z). L(L(x,y,z) \ L(L(x,y,z),u,w),v5,v6) = L(L(x \ L(x,u,w),v5,v6),y,z). x * L(y \ L(y,y,z),u,w) = x * (L(y,u,w) \ L(z \ (z / (y \ 1)),u,w)). R(x,y,z) \ L(R(x,y,z),u,w) = R(x \ L(x,u,w),y,z). L((x / (y \ 1)) \ x,(x / (y \ 1)) \ x,x / (y \ 1)) = L(T(y \ 1,y),y,x). (x * y) \ ((x * (y * z)) * L(L((x * (y * z)) \ (x * y),u,w),v5,v6)) = L(z,y,x) \ L(L(L(z,y,x),u,w),v5,v6). (x \ ((L(x,y,z) \ x) \ 1)) * L((x \ ((L(x,y,z) \ x) \ 1)) \ u,w,v5) = (L(x,y,z) \ 1) * L((x \ (L(x,y,z) \ x)) \ u,w,v5). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). ((x \ y) * (y \ x)) * ((x \ y) \ 1) = y \ x. (L(x,y,z) \ x) \ (x \ L(x,y,z)) = (x \ L(x,y,z)) * (x \ L(x,y,z)). L((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = x * (L(x,y,z) \ u). x * L(y,x,x \ L(x,z,u)) = L(x * y,x,x \ L(x,z,u)). (x * (x * y)) \ L(L((x * x) * y,z,u),x,x) = L(((x * x) * y) \ L((x * x) * y,z,u),x,x). ((1 / x) * x) * y != z * u | y / u = z. ((x / y) * y) / z != u | x / z = u. R(K(x,y),z,u) != w | K(x,y) = w. T(T(x,y),z) != u | T(T(x,z),y) = u. L(x \ 1,(y / (x \ 1)) \ y,y / (x \ 1)) = L(T(x \ 1,x),x,y). (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. (x * y) \ (x * ((y * z) * L(L((y * z) \ (x \ (x * y)),u,w),v5,v6))) = L(z,y,x) \ L(L(L(z,y,x),u,w),v5,v6). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. L(x,y,y \ L(y,z,u)) * y = L(x * y,y,y \ L(y,z,u)). L(((x * x) * y) \ L((x * x) * y,z,u),x,x) = (x * (x * y)) \ L(x * (x * y),z,u). L(x \ 1,x \ 1,y / (x \ 1)) = L(T(x \ 1,x),x,y). (x * y) \ (x * ((y * z) * L(L((y * z) \ y,u,w),v5,v6))) = L(z,y,x) \ L(L(L(z,y,x),u,w),v5,v6). 1 / (L(x,y,z) \ x) = x \ L(x,y,z). L((x * y) \ x,z,u) \ ((x * y) \ x) = (L(y \ 1,y,x) \ L((x * y) \ x,z,u)) \ 1. x / ((y \ L(y,z,u)) * (y \ L(y,z,u))) = (x / (y \ L(y,z,u))) * (L(y,z,u) \ y). R((x \ L(x,y,z)) / u,u,x \ L(x,y,z)) = 1 / (u * (L(x,y,z) \ x)). (L(x,y,z) * (x \ 1)) \ 1 = L(x,y,z) \ x. L(x,x,y) \ x = (x \ (y \ (y / (x \ 1)))) \ 1. x / ((y \ L(y,z,u)) * (y \ L(y,z,u))) = x * (y * (L(y,z,u) \ (L(y,z,u) \ y))). (x \ (y * L(y \ x,z,u))) \ 1 = L(x \ y,z,u) \ (x \ y). R(x,y,L(L(z,u,w) \ z,v5,v6)) = R(x,y,L(z \ L(z,u,w),v5,v6)). (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)). L(L(x,y,z),u,w) \ L(x,y,z) = L(x \ L(x,u,w),y,z) \ 1. (x * y) \ (x * (y * (z * L(L(z \ (y \ y),u,w),v5,v6)))) = L(z,y,x) \ L(L(L(z,y,x),u,w),v5,v6). L((x * y) \ x,z,u) \ ((x * y) \ x) = ((x * y) \ (x * L(y,z,u))) \ 1. (1 \ (L(x,y,z) * (x \ 1))) \ 1 = L(x,y,z) \ x. L(x \ y,x \ y,x) \ (x \ y) = ((x \ y) * (y \ x)) \ 1. L(x \ (y \ x),z,u) \ (x \ (y \ x)) = (x \ (L(y,z,u) * (y \ x))) \ 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 \ y) \ x,z,u) \ ((x \ y) \ x) = ((x \ y) \ (x \ L(y,z,u))) \ 1. L(L(x,y,z),u,w) \ (x \ L(x,y,z)) = x \ (L(x \ L(x,u,w),y,z) \ 1). L(x,y,z) \ (L(x \ L(x,u,w),y,z) \ 1) = L(L(x,y,z),u,w) \ 1. L(L(x,y,z),u,w) \ L(x,u,w) = L(x \ L(x,y,z),u,w) \ 1. x * (L(L(y,z,u),w,v5) \ L(y,w,v5)) = x * (L(y \ L(y,z,u),w,v5) \ 1). (x * y) \ (x * (y * (z * L(L(z \ 1,u,w),v5,v6)))) = L(z,y,x) \ L(L(L(z,y,x),u,w),v5,v6). 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)). (x * y) \ (x * (y * (z \ L(L(z,u,w),v5,v6)))) = L(z,y,x) \ L(L(L(z,y,x),u,w),v5,v6). (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) * L(L(x,y,z) \ x,u,w) = 1 * (L(x,y,z) \ x). L(x,y,z) \ L(L(L(x,y,z),u,w),v5,v6) = L(x \ L(L(x,u,w),v5,v6),y,z). ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. ((x * (y / ((1 / y) * 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. T(x * T(y,x * y),y) = x * y. (1 / x) * ((y * x) / y) = ((y * x) / y) / x. K((x * y) \ x,x * y) = y * T(y \ 1,x * y). ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x). ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). K(x \ 1,x) \ 1 = K(x,x \ 1). (1 / x) * ((x \ 1) * x) = x \ 1. (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. (1 / x) * K(x \ 1,x) = x \ 1. (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). (x \ y) / L(y \ x,x \ y,1 / (y \ x)) = (1 / (y \ x)) * (x \ y). (1 / (1 / x)) * (x * (1 / x)) = x. (1 / (1 / x)) * K(x,1 / x) = x. (1 / (1 / x)) \ x = K(x,1 / x). ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. (1 / x) \ (x \ 1) = K(x \ 1,x). R(x / (1 / y),1 / y,K(y \ 1,y)) = (x * K(y \ 1,y)) / (y \ 1). K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). (1 / x) * L(x,y,z) = x \ L(x,y,z). T(1 / x,L(x,y,z)) = x \ 1. (1 / (x \ y)) \ (x \ (y * L(y \ x,z,u))) = L(x \ y,z,u). (K(x,y) / z) * L(z,u,w) = K(x,y) * (z \ L(z,u,w)). (x \ L(x,y,z)) \ (L(x,y,z) \ (x * L(x \ L(x,y,z),u,w))) = L(L(x,y,z) \ x,u,w). (x \ L(x,y,z)) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(L(x,y,z) \ x,u,w). a(1 / x,x,x \ 1) = K(x \ 1,x). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). ((x / y) * T((x / y) \ x,z)) * y = x * T(y,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. ((x / y) * T(y,z)) * y = x * T(y,z). T((x / y) * T(y,z),y) = y \ (x * T(y,z)). T((x / y) * T(y,x),y) = x. (x * T(y,z)) / y = (x / y) * T(y,z). ((x / y) * T(y,z)) \ (x * T(y,z)) = y. (x / y) * T(y,x) = (y * x) / y. ((x / T(y,z)) / y) * T(y,z) = x / y. (1 / x) * T(x,y) = T(x,y) / x. (x * T(y,z)) * y = (x * y) * T(y,z). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. (1 / T(x,y)) * x = x / T(x,y). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). R(T(x,y),x \ y,T(x,x \ y)) = T(x,x \ y). (1 / T(x,y)) \ (x / T(x,y)) = x. T(x * T(x \ y,y),x \ y) = y. K(x,x \ 1) \ 1 = K(x \ 1,x). T((L(x,y,z) / u) * T(L(u,x,x \ L(x,y,z)),((x \ L(x,y,z)) * (x * u)) / u),(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). (x * (T(y,z) * u)) / (x * u) = T((x * (y * u)) / (x * u),z). ((1 / x) * ((1 / x) \ T(y,z))) / x = (1 / x) * T((1 / x) \ (y / x),z). (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)). K(K(x,y),K(x,y) * z) = K(K(x,y),z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). T(x,x * R(x \ 1,y,z)) = x. R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). ((L(x,y,z) * (z * y)) / (z * y)) * T(((L(x,y,z) * (z * y)) / (z * y)) \ x,u) = ((L(x,y,z) * (z * y)) * T(a(z,y,T(x,z * y)),u)) / (z * y). (L(x,y,z) * T(L(x,y,z) \ 1,x)) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. x * ((y \ (x \ (z * y))) * y) = (x * T(x \ z,y)) * y. ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). ((x * y) / x) \ (y * (x * y)) = y * x. L(((x * y) * x) / (x * y),y,x) = (y * x) / y. ((L(x,y,z) \ x) / x) \ ((L(x,y,z) \ 1) * (x * (L(x,y,z) \ 1))) = (L(x,y,z) \ 1) * x. (1 / L(x,y,z)) \ ((L(x,y,z) \ 1) * (x * (L(x,y,z) \ 1))) = (L(x,y,z) \ 1) * x. (1 / L(x,y,z)) \ ((L(x,y,z) \ 1) * (L(x,y,z) \ x)) = (L(x,y,z) \ 1) * x. (x * y) / T(y,z) = (x / T(y,z)) * y. (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). (1 / ((x * y) / x)) * y = y / ((x * y) / x). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). T(x,(y / (x * y)) * x) = x. (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. K(x \ 1,x) * R(1 / x,y,z) = R(x \ 1,y,z). L(x,y,1 / z) = L(x,y,z \ 1). a(1 / x,y,z) = a(x \ 1,y,z). (1 / (1 / x)) * (x \ 1) = K(x \ 1,x). T(1 / (1 / x),x \ 1) = x. K(x \ 1,x) * R(1 / x,y,z) = (x \ 1) * (x * R(x \ 1,y,z)). K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = y. (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). K(x \ 1,x) * R(((x \ 1) * x) \ x,y,z) = ((x \ 1) * R((x \ 1) \ 1,y,z)) * x. (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * ((y * z) * T((y * z) \ y,u)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))). L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). T(x,x * T(x \ 1,y)) = x. x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). (x * (y * z)) * K(z,y) != u * (z * y) | R(x,y * z,K(z,y)) = u. (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). x * R(K(x,y) * (K(x,y) \ y),z,u) = (R(y,z,u) * x) * K(x,y). (T(x,y) / y) \ x = T(y,T(x,y)). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). L(((x * y) * x) / (x * y),y,x) * y = y * x. (1 / x) \ L(y,x,x \ 1) = x * y. L(x \ y,x,x \ 1) = (1 / x) * y. (1 / x) \ L(L(x,y,z),x,x \ 1) = L(x,y,z) * x. L(x,y,y \ 1) / (y * x) = 1 / y. (1 / x) * (x * y) = L(y,x,x \ 1). L(L(T(x,y),z,u),y,y \ 1) = (1 / y) * (L(x,z,u) * y). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). L(R(x \ y,z,u),x,x \ 1) = R((1 / x) * y,z,u). L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. L(x,y \ z,L(y \ z,y,y \ 1)) = L(x,(1 / y) * z,y \ z). L(L(T(x,y),z,u),y,y \ 1) = L((1 / y) * (x * y),z,u). ((1 / x) * (y * x)) \ L(L(T(y,x),z,u),x,x \ 1) = L(T(y,x) \ L(T(y,x),z,u),x,x \ 1). ((1 / x) * (y * x)) \ L((1 / x) * (y * x),z,u) = L(T(y,x) \ L(T(y,x),z,u),x,x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). T(1 / x,T(x,y) / x) = 1 / x. K(x \ 1,x) \ x = T(x,x \ 1). T(x,1 / x) / x = K(x,1 / x). T(x,y) \ (x \ T(x,y)) = x \ 1. T(x \ 1,x \ T(x,y)) = x \ 1. (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). K(x \ (x * y),x) = K(y,x). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). K((x * y) \ x,x * y) / y = T(1 / y,x * y). K(x \ 1,x) * R(K(x \ 1,x) \ x,y,z) = ((x \ 1) * R((x \ 1) \ 1,y,z)) * x. (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). T((R(x \ 1,y,z) * ((x \ 1) \ u)) / u,x \ 1) = R(x * R(x \ 1,y,z),x \ 1,(x \ 1) \ u). K(x \ 1,x) * R(K(x \ 1,x) \ x,y,z) = (x \ R(x,y,z)) * x. (R(x,y,z) * (x \ 1)) * K(x \ 1,x) = (x \ 1) * ((x \ R(x,y,z)) * x). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. K(x \ 1,x) \ y = K(x,x \ 1) * y. K(x,x \ 1) \ y = K(x \ 1,x) * y. K(x \ 1,x) * (K(x,x \ 1) * y) = y. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. ((1 / x) * ((x \ 1) \ y)) * z = K(x,x \ 1) * (y * z). K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. K(x \ 1,x) * T(x,x \ 1) = x. K(x \ 1,x) * ((x \ 1) \ 1) = x. K(x,x \ 1) * x = (x \ 1) \ 1. L(x,y,(z \ 1) \ 1) = L(x,y,z). a((x \ 1) \ 1,y,z) = a(x,y,z). K(x,x \ 1) * x = T(x,x \ 1). T(x,x \ 1) / x = K(x,x \ 1). K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. K(x \ 1,x) * R(K(x,x \ 1) * x,y,z) = ((x \ 1) * R((x \ 1) \ 1,y,z)) * x. K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. K(x \ 1,x) * R(K(x,x \ 1) * x,y,z) = (R(x,y,z) * (x \ 1)) * x. R(K(x \ 1,x) * (K(x,x \ 1) * x),y,z) = (R(x,y,z) * (x \ 1)) * x. L(x,1 / x,x) = 1 / (1 / x). x * (L(x,1 / x,x) \ y) = (1 / (1 / x)) \ (x * y). (1 / (1 / x)) \ (x * y) = x * ((1 / (1 / x)) \ y). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. T(x,x \ 1) * T(y,x) = K(x,x \ 1) * (y * x). K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). ((x \ 1) \ 1) \ K(x,x \ 1) = x \ 1. K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). x \ ((x \ 1) \ 1) = K(x,x \ 1). R(x,y,K(z,z \ 1)) = x. R(x,y,K(z,z \ 1)) != u | x = u. L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). L((1 / x) * T(x,y),x,y) = L(K(x,y),x,1 / x). L(K(x,y),x,1 / x) = L(T(x,y) / x,x,y). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). (x * y) \ ((x * (y * z)) * ((u * ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x)))) / u)) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). (x * y) \ ((x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u)) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). (x * y) \ (x * ((y * z) * ((u * ((y * z) \ y)) / u))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). K(x,1 / x) * T(K(x,1 / x) \ (K(x,1 / x) / (1 / x)),y) = x * ((1 / x) * T((1 / x) \ 1,y)). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). K(x,1 / x) * T(K(x,1 / x) \ (K(x,1 / x) / (1 / x)),y) = x * (T(x,y) / x). K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). R(x,y,z) \ (T(x,R(x,y,z) * (R(x,y,z) \ u)) * u) = (R(x,y,z) \ u) * T(T(x,R(x,y,z) \ u),u). L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). L(x * T(x \ 1,x),y,z) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,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). (L(x,y,z) \ 1) * (x \ L(x,y,z)) = x \ 1. x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. L((x \ L(x,y,z)) \ u,x \ L(x,y,z),L(x,y,z) \ 1) = (x \ 1) \ ((L(x,y,z) \ 1) * u). x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. L(K(x \ 1,x),y,z) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). L((x \ 1) \ y,x \ 1,x \ 1) = (x \ (x \ 1)) \ ((1 / x) * y). L(T(x,1 / y) \ z,T(x,1 / y),y \ 1) = (x * (1 / y)) \ ((1 / y) * z). (x \ y) / L(y \ x,x \ y,(y \ x) \ 1) = (1 / (y \ x)) * (x \ y). (R(x,y,z) * (x \ 1)) * x = R(x,y,z). R(x \ R(x,y,z),x,x) = 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)) \ R(x,y,z) = x. (1 / x) * R(x,y,z) = x \ R(x,y,z). T(1 / x,R(x,y,z)) = x \ 1. ((x / (y * x)) * y) / R(1 / y,y,x) = 1 / (1 / y). (x * R(x \ 1,y,z)) \ R(1 / x,y,z) = 1 / x. L(x \ 1,x,(x \ y) / y) = 1 / x. L((x / y) \ 1,x / y,y / x) = 1 / (x / y). (R(x,y,z) * (x \ 1)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). K(x \ 1,R(x,y,z)) = K(x \ 1,x). K(x \ 1,R(x,y,z)) * u = K(x \ 1,x) * u. R(x,y,K(z \ 1,R(z,u,w))) = x. x * L(x \ (1 * y),x / y,y / x) = ((x / y) * (1 / (x / y))) * y. T(1 / (1 / x),R(1 / x,y,z)) = x. (T(x,y) * T(T(x,y) \ 1,x \ T(x,y))) * (T(x,y) \ (x \ T(x,y))) = ((x \ T(x,y)) \ (x \ 1)) * (x \ T(x,y)). R((x * y) / x,x,T(y,x)) = ((y * x) * y) / (y * x). (R(x,y,z) \ u) * T(T(x,R(x,y,z) \ u),u) = R(x,y,z) \ (T(x,u) * u). R(x,y,z) \ (T(x,u) * u) = T(x,u) * (R(x,y,z) \ u). ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). x * K(x,x \ 1) = T(x,x \ 1). (x * K(y,y \ 1)) / T(y,y \ 1) = R(x / y,y,K(y,y \ 1)). x \ (x * y) != z * u | y / u = z. T(((x * y) * z) / (x * z),x * y) = R(L(y,x,(x * y) / x),x,z). T(L(x,y,(y * x) / y),y) = T(y \ (y * x),y * x). R(L(x,y,(y * x) / y),y,x) = x. T(((x * y) * z) / (x * z),x * y) = L(R(y,x,z),x,(x * y) / x). L(R(x,y,x),y,(y * x) / y) = x. T(1 / (1 / x),y / (x * y)) = x. L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). L(T(x,y),y,(y * x) / y) = T(y \ (y * x),y * x). L(T(x,y),y,(y * x) / y) = T(x,y * x). R(T(x / y,z * y),y,T(z,y)) = (z * y) \ (x * T(z,y)). R(T((x * y) / x,y * x),x,T(y,x)) = (y * x) \ ((y * x) * y). R(L(x,y,x),y,T(x,y)) = (x * y) \ ((x * y) * x). L(R(x,y,T(x,y)),y,x) = (x * y) \ ((x * y) * x). 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. T(x,1 / x) = T(x,x \ 1). T(x,y / (x * y)) = T(x,x \ 1). T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). T(x * L(x \ 1,y,z),u) / T(x,u) = L(1 / T(x,u),y,z). (x \ y) * R(T(y / x,x) \ 1,z,u) = T((y / x) * R((y / x) \ 1,z,u),x). T((x / y) * R((x / y) \ 1,z,u),y) = (y \ x) * R((y \ x) \ 1,z,u). T(T((x / y) * R((x / y) \ 1,z,u),w),y) = T((y \ x) * R((y \ x) \ 1,z,u),w). T(x * T(x \ 1,x \ T(x,y)),y) * (T(x,y) \ (x \ T(x,y))) = ((x \ T(x,y)) \ (x \ 1)) * (x \ T(x,y)). T(x * (x \ 1),y) * (T(x,y) \ (x \ T(x,y))) = ((x \ T(x,y)) \ (x \ 1)) * (x \ T(x,y)). T(1,x) * (T(y,x) \ (y \ T(y,x))) = ((y \ T(y,x)) \ (y \ 1)) * (y \ T(y,x)). ((x \ T(x,y)) \ (x \ 1)) * (x \ T(x,y)) = 1 * (T(x,y) \ (x \ T(x,y))). ((x \ T(x,y)) \ (x \ 1)) * (x \ T(x,y)) = 1 * (x \ 1). ((x \ T(x,y)) \ (x \ 1)) * (x \ T(x,y)) = x \ 1. T(x,1 / x) = (x \ 1) \ 1. T(x,x \ 1) / x = K(x,1 / x). T(x \ 1,x) = ((x \ 1) \ 1) \ 1. T(x,y / (x * y)) = (x \ 1) \ 1. K(x,1 / x) = K(x,x \ 1). (1 / (1 / x)) \ x = K(x,x \ 1). x * (1 / x) = K(x,x \ 1). K(x,x \ 1) * (1 / (1 / x)) = x. x \ K(x,x \ 1) = 1 / x. K(x,x \ 1) \ x = 1 / (1 / x). K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). (K(x,x \ 1) * y) / ((1 / x) * y) = R(x,1 / x,y). L(x \ (1 / y),x,y) = (y * x) \ K(y,y \ 1). T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. x * L(x \ (1 * y),x / y,y / x) = K(x / y,(x / y) \ 1) * y. T(x,(x \ y) / y) = (x \ 1) \ 1. T(x / y,y / x) = ((x / y) \ 1) \ 1. K(x,x \ 1) * K(L(y \ (1 / x),y,x),x * y) = ((x * y) \ K(x,x \ 1)) * (x * y). K(x,x \ 1) * (y / ((1 / x) * y)) = R(x,1 / x,y). T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. T(((x / y) \ 1) \ 1,y) = T(y \ x,y / x). K(x \ 1,x) * x = 1 / (1 / x). x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. (x * y) \ (K(x,x \ 1) * z) = ((1 / (1 / x)) * y) \ z. K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ (1 * y). T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. T(((1 / (1 / x)) * y) \ y,x) = (x * y) \ y. T(((1 / x) * y) \ y,x \ 1) = ((x \ 1) * y) \ y. R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). L(x,1 / y,y) = L(x,y \ 1,y). L(x,x \ 1,x) = 1 / (1 / x). L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). x * K(x \ 1,x) = 1 / (1 / x). T(L(x,T(x,y) \ 1,T(x,y)),y) = 1 / (1 / T(x,y)). x \ (1 / (1 / x)) = K(x \ 1,x). x \ L(1 / (1 / x),y,z) = (x \ 1) * L(x,y,z). a(x,x \ 1,x) = (1 / (1 / x)) \ x. L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. a(x,x \ 1,x) = K(x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. T(((x \ 1) \ 1) * ((x \ 1) * 1),y) / T((x \ 1) \ 1,y) = L(1 / T((x \ 1) \ 1,y),x,x \ 1). T(((x \ 1) \ 1) * (x \ 1),y) / T((x \ 1) \ 1,y) = L(1 / T((x \ 1) \ 1,y),x,x \ 1). T(K((x \ 1) \ 1,x \ 1),y) / T((x \ 1) \ 1,y) = L(1 / T((x \ 1) \ 1,y),x,x \ 1). T(K(x,x \ 1),y) / T((x \ 1) \ 1,y) = L(1 / T((x \ 1) \ 1,y),x,x \ 1). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. (((x * y) * x) / (x * y)) * y = T(x * y,x). ((x * y) * x) / (x * y) = T(x * y,x) / y. 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,x / y) / y,(x / y) * y) = x / y. T(T(x,x / y) / y,x) = x / y. T(x,x / y) / y = (x * (x / y)) / x. ((x * (x / y)) / x) * y = T(x,x / y). x * ((y * (x \ y)) / y) = T(y,y / x). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). x \ T(y,y / (x * y)) = y * ((x \ y) / y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). ((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)) * ((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) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y. x * (T(x,y) * (x \ z)) = T(x,y) * z. T(x,y) * (x \ (T(x,y) \ z)) = x \ z. T(x,y) * (x * z) = x * (T(x,y) * z). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) \ (x * (T(x,y) * z)) = x * z. (x * y) / (x * (T(x,z) \ y)) = T(x,z). T(x,y) \ (x * z) = x * (T(x,y) \ z). x * (T(x,y) \ 1) = T(x,y) \ x. (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. x * (T(x,y) \ y) = T(y,T(x,y)). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). ((x * y) / x) \ (y \ ((x * y) / x)) = y \ 1. ((x * y) / x) * (y \ x) = T(x,y). L((x * y) / x,y \ 1,y) * (y \ 1) = (y \ 1) * (((x * y) / x) * 1). T((x * y) / x,y \ x) = (y \ x) \ T(x,y). (x / y) * ((y \ x) \ y) = T(y,y \ x). (1 / x) * (x * x) = T(x,x \ 1). L(x,x,x \ 1) = T(x,x \ 1). L(R(x,y,z),x,x \ 1) = R(T(x,x \ 1),y,z). L(L(x,y,z),x,x \ 1) = L(T(x,x \ 1),y,z). (1 / x) \ R(T(x,x \ 1),y,z) = x * R(x,y,z). (1 / x) \ L(T(x,x \ 1),y,z) = L(x,y,z) * x. (x \ (x * y)) \ 1 = ((z * y) / z) \ (y \ ((z * y) / z)). (x \ (x * y)) \ 1 = (y * (z * T(z \ 1,y))) \ (y \ ((L(z \ 1,z,y) * y) / L(z \ 1,z,y))). (x \ (x * y)) \ 1 = (y * (z * T(z \ 1,y))) \ (y \ (y * (z * T(z \ 1,y)))). (x \ (x * y)) \ 1 = (y * (z * T(z \ 1,y))) \ (z * T(z \ 1,y)). (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. (x * K(y,x)) \ K(y,x) = x \ 1. K(x,y) * y = y * K(x,y). T(x,K(y,x)) = x. (x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y). (K(x,y) \ 1) \ y = y * K(x,y). (K(x,y) \ y) * K(x,y) = y. (x * K(y,x)) * z = K(y,x) * (x * z). a(x * K(y,x),z,u) = a(x,z,u). ((x * K(y,z)) * z) \ ((x * (z * K(y,z))) * z) = L(z,K(y,z),x). T(x,K(y,T(x,z))) = x. L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). (x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z. (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. (x / y) \ ((y \ x) \ z) = (y \ x) \ ((x / y) \ z). K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. (x \ 1) * (K(x,x \ 1) * R((1 / x) \ y,z,u)) = R(y * x,z,u) / x. (x \ 1) * R(K(x,x \ 1) * ((1 / x) \ y),z,u) = R(y * x,z,u) / x. K(L(x,y,z) \ 1,L(x,y,z)) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. K(L(x,y,z) \ 1,L(x,y,z)) = L(K(x \ 1,x),y,z). L((x * y) / x,y \ 1,y) * (y \ 1) = (y \ 1) * ((x * y) / x). K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). (x \ 1) * R((x \ 1) \ y,z,u) = R(y * x,z,u) / x. (x \ R(x * y,z,u)) * x = R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). (R(x,y,z) \ x) * R(x,y,z) = x. R(x * K(y \ x,y),z,u) = (y \ R(x,z,u)) * y. x / R(x,y,z) = R(x,y,z) \ x. (R(x,y,z) \ x) \ x = R(x,y,z). L(x,y,z) / L(R(x,u,w),y,z) = R(L(x,y,z),u,w) \ L(x,y,z). L(x,y,z) / L(R(x,u,w),y,z) = L(R(x,u,w),y,z) \ L(x,y,z). T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). K(K(x,y),z) \ z = T(z,K(x,y)). x \ (T(x,y) \ x) = T(x,y) \ 1. L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). L(x,T(x,y) \ 1,T(x,y)) * (T(x,y) \ 1) = (T(x,y) \ 1) * (T(x,y) * (T(x,y) \ x)). L(x,T(x,y) \ 1,T(x,y)) * (T(x,y) \ 1) = (T(x,y) \ 1) * x. (x * K(y \ z,y)) * y = x * (y * K(y \ z,y)). x * (y * K(y \ (y * 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. K(K(x,y),K(x,y) * z) \ (K(x,y) * z) = z * K(x,y). K(K(x,y),z) \ (K(x,y) * z) = z * K(x,y). K(K(x,y),y * x) * (x * y) = K(x,y) * (y * x). T(K(K(x,y),y * x) * x,y) = y \ (K(x,y) * (y * x)). R(x,y,L(K(z \ 1,z),u,w)) = x. L(T(x,y),K(z,x),u) = T(x,y). T((K(K(x,y),y * x) * x) * R((K(K(x,y),y * x) * x) \ 1,z,u),y) = (y \ (K(x,y) * (y * x))) * R(T(K(K(x,y),y * x) * x,y) \ 1,z,u). T(T(((K(x,y) * (y * x)) / y) * R(((K(x,y) * (y * x)) / y) \ 1,z,u),w),y) = T(T(K(K(x,y),y * x) * x,y) * R((y \ (K(x,y) * (y * x))) \ 1,z,u),w). T((K(K(x,y),y * x) * x) * R((K(K(x,y),y * x) * x) \ 1,z,u),y) = (y \ (K(x,y) * (y * x))) * R((y \ (K(x,y) * (y * x))) \ 1,z,u). T(T((K(x,y) * ((y * x) / y)) * R(((K(x,y) * (y * x)) / y) \ 1,z,u),w),y) = T(T(K(K(x,y),y * x) * x,y) * R((y \ (K(x,y) * (y * x))) \ 1,z,u),w). T(T((K(x,y) * ((y * x) / y)) * R((K(x,y) * ((y * x) / y)) \ 1,z,u),w),y) = T(T(K(K(x,y),y * x) * x,y) * R((y \ (K(x,y) * (y * x))) \ 1,z,u),w). 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 * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). (T(x,y) * T(T(x,y) \ 1,x)) * (T(x,y) \ x) = (T(x,y) \ 1) * x. x * L(K(y \ 1,y),x,z) = x * K(y \ 1,y). T(x * T(x \ 1,x),y) * (T(x,y) \ x) = (T(x,y) \ 1) * x. T(K(x \ 1,x),y) * (T(x,y) \ x) = (T(x,y) \ 1) * x. (x * T(x \ 1,y)) * ((y \ 1) \ 1) = x * ((y \ (x \ ((y \ 1) \ 1))) * y). L(K(x \ 1,x),y,z) = K(x \ 1,x). a(x,y,K(z \ 1,z)) = 1. a(x,y,K(z,z \ 1)) = 1. x * L(x \ y,x / y,y / x) = K(x / y,(x / y) \ 1) * y. K(x / (y * x),(x / (y * x)) \ 1) * (y * x) = x * L(x \ (y * x),x / (y * x),y). K(x / (y * x),(x / (y * x)) \ 1) * (y * x) = x * L(T(y,x),x / (y * x),y). (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. K(x \ (x / y),x) = y * T(y \ 1,x). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). K(x \ (x / (1 / y)),x) = T(y,x) / y. K(x \ (x / (1 / y)),x) * y = T(y,x). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). T(x,y * T(y \ 1,x)) = x. L(x,y,T(z,u)) = L(x,y,z). a(T(x,y),z,u) = a(x,z,u). L(x,y,T(z,u) * w) = L(x,y,z * w). L(x,y,T(z,u)) = w * (w \ L(x,y,z)). L(x \ y,x,z) = (T(z,u) * x) \ (T(z,u) * y). L(x,y,z \ (u * z)) = L(x,y,u). L(x,y,L(T(z,u),w,v5)) = L(x,y,L(z,w,v5)). L(x,y,(z \ u) \ u) = L(x,y,z). L(x,y,z / u) = L(x,y,u \ z). L(x,y,(z * u) / z) = L(x,y,u). L(x,y,z / (z / u)) = L(x,y,u). L(x,y,L(z / u,w,v5)) = L(x,y,L(u \ z,w,v5)). L(x,y,(z * z) \ z) = L(x,y,z \ 1). L(x,y,(z \ (z \ 1)) \ u) = L(x,y,u * (z * z)). L(x,y,T(z / u,w)) = L(x,y,u \ z). x \ ((x / y) * (y * z)) = L(z,y,y \ x). L(x \ 1,x \ 1,(x \ 1) \ y) = L(T(x \ 1,x),x,y). L(x \ ((y / z) * L((y / z) \ u,w,v5)),x,z \ y) = ((y / z) * x) \ L((y / z) * u,w,v5). L(x \ 1,x,x \ y) = y \ (y / x). L(x \ y,x,y \ z) = ((z / y) * x) \ z. L(x \ y,x,x \ z) = z \ ((z / x) * y). L(x,y,(y * x) \ z) = ((z / (y * x)) * y) \ z. x / L(y,z,(z * y) \ x) = (x / (z * y)) * z. x * L(y,z,z \ x) = (x / z) * (z * y). x * L(y \ 1,y,y \ x) = x / y. ((x / y) * z) * L(L(u,z,y \ x),w,v5) = (x / y) * (z * L(u,w,v5)). L(x,y,z / (u / (w * w))) = L(x,y,u \ (z * (w * w))). x * L(y \ 1,y,y \ z) = x * (z \ (z / y)). ((x \ y) * x) \ (x \ y) = y \ (y / x). L(x,1 / x,(1 / x) \ y) = y \ (y / (1 / x)). L(L(x \ 1,x,x \ y) \ z,y \ (y / x),y) = (y / x) \ (y * z). (x * (y \ (y / x))) * (x \ 1) = L(x \ 1,x,x \ y). ((x \ 1) \ (y \ (y / x))) * (x \ 1) = L(x \ 1,x,x \ y). x * (x * (y \ (y / x))) = L(x,x,x \ y). x * L(y \ z,y,y \ u) = x * (u \ ((u / y) * z)). ((x \ y) * x) \ ((x \ y) * z) = y \ ((y / x) * z). (x * y) \ (((x * y) / x) * z) = L(x \ z,x,y). L(x \ (y \ ((y / z) * u)),x,(z \ y) * z) = (((z \ y) * z) * x) \ ((z \ y) * u). x * L(L(y,z,z \ x),u,w) = (x / z) * (z * L(y,u,w)). ((x / y) * (y * (x \ 1))) / (x \ 1) = L(x,y,y \ x). ((x / y) * (y * x)) / x = L(x,y,y \ x). L(x \ y,x,y \ (x \ y)) \ (x \ y) = ((x \ y) / y) * x. L(x,y,z * (u * (z \ 1))) = L(x,y,L(u,z \ 1,z)). 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,T((z / u) * w,v5)) = L(x,y,(u \ z) * w). L(x,y,(z \ u) * z) = L(x,y,u). L(x \ (y \ ((y / z) * u)),x,y) = (((z \ y) * z) * x) \ ((z \ y) * u). L(x,y,z * u) = L(x,y,u * z). L(x,y,L(z,u,w) * (w * u)) = L(x,y,w * (u * z)). L(x,y,z * (u / z)) = L(x,y,u). L(x,y,L(z * u,w,v5)) = L(x,y,L(u * z,w,v5)). L(x,y,T(z * u,w)) = L(x,y,u * z). L(L(x,y,z * u),w,K(v5,v6)) = L(x,y,u * z). L(x,y,z * T(u,w)) = L(x,y,u * z). L(x,y,z * (K(u,w) * v5)) = L(x,y,v5 * z). L(x,y,z * K(u,w)) = L(x,y,z). L(x \ ((y * z) \ u),x,z * y) = ((y * z) * x) \ u. a(x \ (y * x),z,u) = a(y,z,u). a(L(T(x,y),z,u),w,v5) = a(L(x,z,u),w,v5). a(x / y,z,u) = a(y \ x,z,u). a(L(x / y,z,u),w,v5) = a(L(y \ x,z,u),w,v5). a((x \ (x \ 1)) \ y,z,u) = a(y * (x * x),z,u). a((x * y) * (x \ 1),z,u) = a(R(y,x,x \ 1),z,u). (((x / y) / z) * (z * y)) \ x = a(z \ (x / y),z,y). a(x / (y * (z * z)),u,w) = a(y \ (x / (z * z)),u,w). a(x / (y / (z * z)),u,w) = a(y \ (x * (z * z)),u,w). a((x * x) \ (y * z),u,w) = a(y * (z / (x * x)),u,w). a(L(x,x,y),z,u) = a((y / (x \ 1)) / y,z,u). a(L(L(T(x,y),z,u),w,v5),v6,v7) = a(L(L(x,z,u),w,v5),v6,v7). x * L(y \ z,y,y \ L(y,u,w)) = x * (L(y,u,w) \ ((y \ L(y,u,w)) * z)). L(x,y,T(z,u)) != w | L(x,y,z) = w. L(x,y,L((z * z) \ (u * w),v5,v6)) = L(x,y,L(u * (w / (z * z)),v5,v6)). L(x,y,L((z * z) \ T(u * z,z),w,v5)) = L(x,y,L(z \ R(u,z,z),w,v5)). L(x,y,L(z / (u \ 1),u \ 1,u \ 1)) = L(x,y,(u \ (u \ 1)) \ ((1 / u) * z)). L(x,y,(z \ u) * (z * z)) = L(x,y,(z \ 1) \ u). L(x,y,(z / (u * u)) \ w) = L(x,y,z \ (w * (u * u))). (((x \ y) * x) * z) \ ((x \ y) * u) = (y * z) \ ((y / x) * u). L(x,y,(z * z) \ (u * z)) = L(x,y,(z \ 1) * u). L(x,y,z * T(u,w)) = L(x,y,z * u). L(x,y,z \ ((u * u) * w)) = L(x,y,(u * u) * (z \ w)). L(x,y,z * L(T(u,w),v5,v6)) = L(x,y,z * L(u,v5,v6)). L(x,y,z * ((u \ w) \ w)) = L(x,y,z * u). L(x,y,z * (u / w)) = L(x,y,z * (w \ u)). L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5). L(x,y,z * L((u * u) \ u,w,v5)) = L(x,y,z * L(u \ 1,w,v5)). (x * T(x \ 1,y)) * y = y * (x * T(x \ 1,y)). T(x,y \ T(y,x)) = x. (x * T(x \ 1,y)) * ((T(y,x * T(x \ 1,y)) \ z) \ z) = T(y,y \ z) * (x * T(x \ 1,y)). (x \ T(x,y)) * y = y * (x \ T(x,y)). T((x * y) / x,x * y) = L(y,x,y). L(T(x,y),y,x) = T(x,y * x). L(R(x,y,x),y,x) = x. R(L(x,y,x),y,x) = x. R(x,y,T(x,y)) = R(x,y,x). x \ T(y * x,y) = R(y,x,y). L(T(R(x,y,x),z),y,x) = T(x,z). L(L(R(x,y,x),z,u),y,x) = L(x,z,u). L(x,y,z) != z | R(z,y,z) = x. x * (y * L(L(R(x,y,x),z,u),w,v5)) = (x * y) * L(L(x,z,u),w,v5). ((x * (y * x)) / x) / y = L(x,y,x). R(x,y,z) != z | L(z,y,z) = x. (x * (y * x)) / x = L(x,y,x) * y. T(R(x,y,x),x * y) = T(x,y). T(L(x,y,x),y) = T(x,y * x). T(x,y * x) = T(x,x * y). x * T(y,x * y) = L(y,x,y) * x. T(x,x * (y / (x * y))) = x. T(x,(x \ y) * x) = T(x,y). R(T(x,x * y),y,x) = T(x,y). L(x,y / (x * y),x) * (y / (x * y)) = (y / (x * y)) * x. R(T(x,y),x \ y,x) = T(x,x \ y). x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,L(y,z,u)),z,u). x * R(y,x,y) = T(y * x,y). x * R(y \ L(y,z,u),x,y * L(y,z,u)) = T((y \ L(y,z,u)) * x,y \ L(y,z,u)). R(x,x \ y,x) = (x \ y) \ T(y,x). x * T((y \ x) \ 1,R(y,y \ x,y \ x)) = L((y \ x) \ 1,x,(y \ x) \ 1) * x. T(L(x,y,x) * y,x) = y * x. T(x,R(y,x,y)) = T(x,y). ((x * (y * x)) / x) * L(z,y,L(x,y,x)) = L(x,y,x) * (y * z). ((x \ 1) * (y * x)) / x = L(x \ 1,y,x \ 1) * y. L(R(T(x,y),z,x),z,x) = T(x,y). x \ ((x * y) * L(x,z,u)) = y * L(R(x,y,x),z,u). L(x,y,z * ((u * u) \ (w * v5))) = L(x,y,z * (w * (v5 / (u * u)))). a((x * (y * y)) \ z,u,w) = a(x \ (z / (y * y)),u,w). a((x / (y * y)) \ z,u,w) = a(x \ (z * (y * y)),u,w). a(L(x,x,y),z,u) = a(y \ (y / (x \ 1)),z,u). L(x,y,(z * u) \ (w * (u * u))) = L(x,y,(z * (u \ 1)) \ w). a((x / (y * y)) \ z,u,w) = a((x \ z) * (y * y),u,w). x * L(x \ y,x,x \ L(x,z,u)) = L(y,x \ L(x,z,u),x). (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). (x \ L(x,y,y \ L(y,z,u))) * (x \ y) = L(x \ y,y \ L(y,z,u),y). L(L(x,y \ (y / z),z),z * (y \ (y / z)),z) = L(z,z,z \ y) \ (z * (z * ((y \ (y / z)) * x))). L(x,y,L(z,z,u)) = L(x,y,(u * (z \ 1)) \ u). a((x \ y) * (x * x),z,u) = a((x \ 1) \ y,z,u). L(L(x,y \ (y / z),z),z * (y \ (y / z)),z) = z * (L(z,z,z \ y) \ (z * ((y \ (y / z)) * x))). (x \ L(x,y,y \ L(y,z,u))) * (x \ y) = L(x \ y,y,y \ L(y,z,u)). L(x,y,R(z,u,u) \ (z * u)) = L(x,y,L(u,u,z * u)). L(L(x,y \ (y / z),z),z * (y \ (y / z)),z) = z * (z * (L(z,z,z \ y) \ ((y \ (y / z)) * x))). T(x,x \ y) * (z * T(z \ 1,x)) = (z * T(z \ 1,x)) * ((x \ y) \ y). (x * T(x \ 1,y)) * z != y * (x * T(x \ 1,y)) | z = y. ((x / (y * x)) * y) / R(1 / y,y,x) = L(y,x / (y * x),y). L(x,y / (x * y),x) = 1 / (1 / x). R(x,x \ T(x,y),y) \ (T(x,y) * y) = y * (x \ T(x,y)). L(x,y,T(z,u) / z) = x. T(1 / x,T(x,y)) = x \ 1. T(x,y) \ (T(x,y) / x) = x \ 1. T(x \ 1,T(x,y)) = T(x \ 1,x). T(x,y) / x = x \ T(x,y). (x \ T(x,y)) * x = T(x,y). x * (T(x,y) / x) = T(x,y). (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). L(T(x,y) / x,x,y) = K(x,y). L(K(x,y),x,1 / x) = K(x,y). K(x,y) / (x * K(x,y)) = 1 / x. (x \ 1) * K(x \ 1,y) = x \ K(x \ 1,y). R(x,x \ 1,K(x \ 1,y)) = x. L(T(x,y),z / (x * z),x) = T(1 / (1 / x),y). K(x / (y * x),(x / (y * x)) \ 1) * (y * x) = x * T(1 / (1 / y),x). K(x / (y * x),(x / (y * x)) \ 1) * (y * x) = (1 / (1 / y)) * x. K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). R(T(x,y),x \ y,x) = (x \ y) \ y. L(x,y,z) \ ((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 * 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,L(x,y,z)) = K(x \ 1,x). x * K(y \ 1,L(y,z,u)) = x * K(y \ 1,y). T(x,y) * (R(x,x \ T(x,y),y) \ y) = y * (x \ T(x,y)). K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(K(x \ 1,x),y). T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). (x / y) * T(y,z) = x * K(z \ (z / (x \ (x / y))),z). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). T(x,x \ ((y * x) / y)) = x. K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ 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)) = 1. T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). (T(x,y) * ((x * y) \ y)) \ (y \ (x * y)) = 1 / ((x * y) \ y). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. L(x \ 1,x,(y * x) \ y) = 1 / x. L(x \ 1,x,y \ (y / x)) = 1 / x. L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). ((x \ (x / y)) * y) \ (x \ (x / y)) = 1 / y. ((x * y) / x) / y = y \ ((x * y) / x). (x \ ((y * x) / y)) * x = (y * x) / y. T(T(x,y),T(x,y) \ x) = T(x,y). (1 / x) * ((y * x) / y) = x \ ((y * x) / y). (1 / x) \ (x \ ((y * x) / y)) = (y * x) / y. T(1 / x,(y * x) / y) = x \ 1. (1 / x) \ (((y * x) / y) * (x \ 1)) = (y * x) / y. (x \ 1) \ ((y * (x \ 1)) / y) = x * ((y * (x \ 1)) / y). (1 / x) \ (x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x))) = x * (y * T(y \ 1,x)). (1 / x) \ (x \ (x * (y * T(y \ 1,x)))) = x * (y * T(y \ 1,x)). (1 / x) \ (y * T(y \ 1,x)) = x * (y * T(y \ 1,x)). (x * y) / x != z * y | y \ ((x * y) / x) = z. (T(x,y) \ x) * T(x,y) = x. ((T(x,y) \ x) / x) * T(x,y) = 1. (R(x,y,z) * u) * K(u,x) = u * R(x,y,z). K(x,R(y,z,u)) = K(x,y). R(K(x,y),z,u) = K(x,R(y,w,v5)). K(x,L(R(y,z,u),w,v5)) = K(x,L(y,w,v5)). K(x,y / (z * y)) = K(x,1 / z). K(x,(y * z) / u) = K(x,y / (u / z)). K(x,T((y * z) / (u * z),w)) = K(x,T(y / u,w)). K(x,y * (z \ 1)) = K(x,y / z). K(x,T((y * z) / u,w)) = K(x,T(y / (u / z),w)). K(x,T(y,z * y)) = K(x,T(y,z)). K(x,(y \ 1) \ 1) = K(x,y). K(x,1 / y) = K(x,y \ 1). K(x,T(y,y * z)) = K(x,T(y,z)). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,T(y,z / y)) = K(x,T(y,z)). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,T(y / z,y)) = K(x,z \ y). K(x,y / (z * y)) = K(x,z \ 1). K(x,(y \ z) / z) = K(x,y \ 1). K(x,(y / z) \ 1) = K(x,z / y). K(x,T(y / (z / u),y * u)) = K(x,z \ (y * u)). K(x,T(y / z,y * u)) = K(x,(z * u) \ (y * u)). T(1 / T(x,y),x) = T(x,y) \ 1. ((T(x,y) \ x) / x) \ 1 = T(x,y). K(x,L(1 / y,z,u)) = K(x,L(y \ 1,z,u)). K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). T(x,K(y,R(z,u,w))) = T(x,K(y,z)). K(x,T((R(y,z,u) * z) / (y * z),(R(y,z,u) * z) * u)) = K(x,a(R(y,z,u),z,u)). K(x,T(R(y,z,u) / y,(R(y,z,u) * z) * u)) = K(x,a(R(y,z,u),z,u)). K(x,T(y \ R(y,z,u),(R(y,z,u) * z) * u)) = K(x,a(R(y,z,u),z,u)). (x / y) * (y * R(y \ 1,z,u)) = x * R(x \ (x / y),z,u). 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). 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 * 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). (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 \ (K(y,x) * (x * y))) * R((x \ (K(y,x) * (x * y))) \ 1,z,u) = T(y * R(y \ 1,z,u),x). T(T(K(K(x,y),y * x) * x,y) * R((y \ (K(x,y) * (y * x))) \ 1,z,u),w) = T(T(((y * x) / y) * R(((y * x) / y) \ 1,z,u),w),y). T(T(K(K(x,y),y * x) * x,y) * R((y \ (K(x,y) * (y * x))) \ 1,z,u),w) = T((y \ (y * x)) * R((y \ (y * x)) \ 1,z,u),w). T(T(K(K(x,y),y * x) * x,y) * R((y \ (K(x,y) * (y * x))) \ 1,z,u),w) = T(x * R((y \ (y * x)) \ 1,z,u),w). T(T(K(K(x,y),y * x) * x,y) * R((y \ (K(x,y) * (y * x))) \ 1,z,u),w) = T(x * R(x \ 1,z,u),w). T((x \ (K(y,x) * (x * y))) * R((x \ (K(y,x) * (x * y))) \ 1,z,u),w) = T(y * R(y \ 1,z,u),w). T(T(x * R(x \ 1,y,z),u),w) = T(x * R(x \ 1,y,z),w). T(x * R(x \ 1,y,z),u) = x * R(x \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = x * R(x \ 1,z,u). T(x,y * R(y \ 1,z,u)) = x. T(x,(y / (z * y)) * z) = x. T(x,y \ R(y,z,u)) = x. T(x,R(y,z,u) / y) = x. ((x \ R(x,y,z)) \ u) * (x \ R(x,y,z)) = u. x / (y \ R(y,z,u)) = (y \ R(y,z,u)) \ x. K(x,y \ R(y,z,u)) = 1. 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 = u * (x \ R(x,y,z)). ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). T(x,a(y,z,z \ 1)) = x. T(x,y \ (z * ((y \ z) \ 1))) = x. (1 / (x \ R(x,y,z))) * (u * (x \ R(x,y,z))) = L(u,x \ R(x,y,z),(x \ R(x,y,z)) \ 1). T(x,(y \ 1) * y) = x. T(x,y * (1 / y)) = x. T(x,K(y \ 1,y)) = x. L(x,y,y \ 1) * ((y \ 1) * y) = (y \ 1) * (y * x). T(x,K(y,y \ 1)) = x. T(x,K(y \ 1,R(y,z,u))) = x. K(x \ 1,x) * y = y * K(x \ 1,x). T(K(x \ 1,x),y) = K(x \ 1,x). (K(x \ 1,x) \ y) \ y = K(x \ 1,x). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). K(x,x \ 1) * y = y * K(x,x \ 1). T(K(x,x \ 1),y) = K(x,x \ 1). T(x,(y / z) * (z / y)) = x. (x * ((y \ x) \ 1)) / y = y \ (x * ((y \ x) \ 1)). L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). T((x \ 1) * x,y) = K(x \ 1,x). L(K(x \ 1,x),y,z) * (z * y) = z * (y * K(x \ 1,x)). K(x \ 1,x) * (T(x,y) \ x) = (T(x,y) \ 1) * x. K(x \ 1,x) * (y * K(x,x \ 1)) = y. K(x \ 1,x) \ y = y * K(x,x \ 1). ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. ((x * y) * K(z,z \ 1)) \ ((K(z,z \ 1) * x) * y) = a(K(z,z \ 1),x,y). (x * (K(y,y \ 1) * z)) * a(x,z,K(y,y \ 1)) = (x * z) * K(y,y \ 1). (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). (K(x \ 1,x) * y) * K(x,x \ 1) = y. R((K(x \ 1,x) * y) / x,x,K(x,x \ 1)) = y / T(x,x \ 1). ((x \ R(x,y,z)) \ 1) * L(x \ R(x,y,z),u,w) = (x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w). (L(x \ R(x,y,z),u,w) \ v5) \ v5 = L(x \ R(x,y,z),u,w). L(x \ R(x,y,z),u,w) * (w * u) = w * (u * (x \ R(x,y,z))). (1 / x) * (L(y \ R(y,z,u),w,v5) * x) = L(L(y \ R(y,z,u),w,v5),x,x \ 1). K(x,a(R(y,z,u),z,u)) = K(x,y \ R(y,z,u)). x / (L(y,z,u) \ L(R(y,w,v5),z,u)) = (L(y,z,u) \ R(L(y,z,u),w,v5)) \ x. ((x \ R(x,y,z)) \ 1) * (u * (x \ R(x,y,z))) = L(u,x \ R(x,y,z),(x \ R(x,y,z)) \ 1). (x * y) \ ((x * (z \ R(z,u,w))) * y) = R(T(z \ R(z,u,w),x * y),x,y). (x * (y * (z \ R(z,u,w)))) / (x * y) = L(z \ R(z,u,w),y,x). ((x \ R(x,y,z)) * u) \ w = (u * (x \ R(x,y,z))) \ w. (x * ((y \ R(y,z,u)) * w)) / (x * w) = L(y \ R(y,z,u),w,x). ((x \ R(x,y,z)) \ 1) * L(x \ R(x,y,z),u,w) = x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w)). x / (L(y,z,u) \ L(R(y,w,v5),z,u)) = (L(y,z,u) \ L(R(y,w,v5),z,u)) \ x. (x * y) \ ((x * (z \ R(z,u,w))) * y) = R(z \ R(z,u,w),x,y). ((L(x,y,z) \ L(R(x,u,w),y,z)) \ v5) \ v5 = L(x,y,z) \ L(R(x,u,w),y,z). (K(x,x \ 1) * y) \ y = K(x \ 1,x). K(x,x \ 1) * (y * K(x \ 1,x)) = y. (x * (K(y,y \ 1) * z)) * 1 = (x * z) * K(y,y \ 1). (x * y) * K(z,z \ 1) = x * (K(z,z \ 1) * y). K(x \ 1,R(x,y,z)) * (u * w) = (u * K(x \ 1,x)) * w. R(x,T(y,x),T(K(z \ 1,R(z,u,w)),y * x)) \ ((y * K(z \ 1,z)) * x) = T(y,x) * T(K(z \ 1,R(z,u,w)),y * x). ((1 / x) \ (y * T(y \ 1,x))) * K(x,x \ 1) = T(x,x \ 1) * (y * T(y \ 1,x)). T(x,x \ 1) * (y * T(y \ 1,x)) = (x \ 1) \ (y * T(y \ 1,x)). a(K(x,y),z,u) = ((w * v5) * K(v6,v6 \ 1)) \ (w * (K(v6,v6 \ 1) * v5)). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). (K(x,x \ 1) * y) * z = y * (K(x,x \ 1) * z). (K(x,x \ 1) * y) * x = y * T(x,x \ 1). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). (((x \ 1) \ 1) \ y) * T(x,x \ 1) = (x \ y) * x. ((x * (y \ 1)) * y) * K(y,y \ 1) = R(x,y \ 1,y). ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). K(x \ 1,x) \ (x * R(y,x,x)) = R(x * y,x \ 1,x). ((1 / R(x / y,y,x)) * z) * R(x / y,y,x) = ((y * (x \ 1)) * z) * ((R(x / y,y,x) \ 1) \ 1). ((1 / R(x / y,y,x)) * z) * R(x / y,y,x) = ((y * (x \ 1)) * z) * ((y * (x \ 1)) \ 1). T(x,y * (z / (y * z))) = x. x / (y * (z / (y * z))) = (y * (z / (y * z))) \ x. T(x * (y / (x * y)),z) = x * (y / (x * y)). (x * (y / (x * y))) * z = z * (x * (y / (x * y))). T(K(x \ 1,R(x,y,z)),u) = K(x \ 1,R(x,y,z)). K(x * (y / (x * y)),z) = 1. K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). K(T(x,y) \ 1,T(x,y)) = K(x,x \ 1) \ 1. T(x,y) * K(x \ 1,x) = 1 / (1 / T(x,y)). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). T(1 / (1 / x),y) \ 1 = 1 / T(x,y). L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). (1 / (1 / x)) * (T(x,y) \ 1) = (T(x,y) \ 1) * x. T(1 / (1 / x),T(x,y) \ 1) = x. K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). K(x,x \ 1) * (T(x,y) \ z) = (1 / (1 / T(x,y))) \ z. (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). T((1 / x) * (T(x,y) \ x),x) = (x \ 1) * (T(x,y) \ x). (x * K(y \ 1,y)) * K(y,y \ 1) = x. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. (K(x \ 1,x) * y) / z = (y / z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = L(T(z,y),y,K(x \ 1,x)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). (x * K(y \ 1,y)) / z = K(y \ 1,y) * (x / z). (x * (y \ 1)) \ (K(y \ 1,y) * x) = L(y,y \ 1,x). (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). ((x * y) * (x \ 1)) \ ((1 / (1 / x)) * y) = L(x,x \ 1,x * y). R(x / (1 / y),1 / y,K(y \ 1,y)) = K(y \ 1,y) * (x / (y \ 1)). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). L(x,y,y \ 1) \ K(y,y \ 1) = ((y \ 1) * (y * x)) \ 1. K(x,a(R(y,z,u),z,u)) = 1. K(x,a(y,z,u)) = 1. K(x,a(y,z,u)) * w = w. T(x,a(y,z,u)) = x. a(x,y,z) \ (u * a(x,y,z)) = u. (a(x,y,z) \ u) * a(x,y,z) = u. x / a(y,z,u) = a(y,z,u) \ x. (a(x,y,z) * u) / a(x,y,z) = u. T(x,a(y,z,u)) = w \ (w * x). T(L(x,y,K(z,u)),a(w,v5,v6)) = x. R(a(x,y,z) \ u,a(x,y,z),a(x,y,z)) = u * (a(x,y,z) \ 1). a(x,y,z) \ (u * (a(x,y,z) * a(x,y,z))) = u / (a(x,y,z) \ 1). R(a(x,y,z) \ 1,a(x,y,z),u) = u / (a(x,y,z) * u). ((a(x,y,z) * u) * w) / (a(x,y,z) * w) = R(u,a(x,y,z),w). R(a(x,y,z) \ u,a(x,y,z),w) = (u * w) / (a(x,y,z) * w). L(T(x,a(y,z,u)),w,v5) = L(x,w,v5). T(a(x,y,z),u) = a(x,y,z). (x * a(y,z,u)) / x = a(y,z,u). a(x,y,z) * u = u * a(x,y,z). a(x,y,z) * (u / (a(x,y,z) \ 1)) = u * (a(x,y,z) * a(x,y,z)). a(x,y,z) * (u / a(x,y,z)) = u. (x / (a(y,z,u) \ 1)) / (a(y,z,u) * a(y,z,u)) = a(y,z,u) \ x. (a(x,y,z) * u) * w = (u * a(x,y,z)) * w. x * (a(y,z,u) * w) = x * (w * a(y,z,u)). T(x,a(y,z,u)) != w | x = w. x \ (a(y,z,u) * x) = a(y,z,u). x \ (a(y,z,u) * w) = x \ (w * a(y,z,u)). L(x,y,z) * a(u,w,v5) = a(u,w,v5) * L(x,y,z). L(x \ y,x,a(z,u,w)) = (a(z,u,w) * x) \ (y * a(z,u,w)). x \ ((y * y) * a(z,u,w)) = (x \ a(z,u,w)) * (y * y). a(x,y,z) * (u * (u \ w)) = w * a(x,y,z). T(a(x,y,z),u) = T(a(x,y,z),w). (a(x,y,z) \ u) \ u = a(x,y,z). K(a(x,y,z),u) = 1. L(a(x,y,z),u,w) * v5 = v5 * L(a(x,y,z),u,w). R(a(x,y,z),u,w) * v5 = v5 * R(a(x,y,z),u,w). (L(a(x,y,z),u,w) \ v5) \ v5 = L(a(x,y,z),u,w). L(a(x,y,z),a(x,y,z) \ u,w) = (w * (a(x,y,z) \ u)) \ (w * u). x * (a(y,z,u) * (x \ 1)) = L(a(y,z,u),x \ 1,x). L(a(x,y,z),u,w) * (w * u) = w * (u * a(x,y,z)). L(a(x,y,z),u \ w,u) * w = u * ((u \ w) * a(x,y,z)). ((L(x,y,z) * (z * y)) / (z * y)) * T(((L(x,y,z) * (z * y)) / (z * y)) \ x,u) = ((L(x,y,z) * (z * y)) * a(z,y,T(x,z * y))) / (z * y). K(a(x,y,z),u) * w = w. K(a(x,y,z),u) * w = 1 * w. (x * (x \ y)) * a(z,u,w) = a(z,u,w) * y. a(x,y,z) * (x * (y * z)) = (x * y) * z. x / (a(y,z,u) * w) = x / (w * a(y,z,u)). ((x * y) * T(z,y)) / (x * (z * y)) = a(x,y,T(z,y)). ((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z). ((x * y) * z) / (x * (y * z)) = a(x,y,z). (a(x,y,z) * (u * w)) / (w * a(x,y,z)) = R(u,w,a(x,y,z)). a(x,y,z) \ ((x * y) * z) = x * (y * z). L(x,y,z) \ (a(u,w,v5) * x) = x * (L(x,y,z) \ a(u,w,v5)). (x * (y * a(z,u,w))) \ (a(z,u,w) * (x * y)) = a(x,y,a(z,u,w)). R(a(x,y,z),u,u) / (u \ 1) = u * a(x,y,z). (a(x,y,z) * u) * L(w,u,a(x,y,z)) = (u * w) * a(x,y,z). x / ((a(y,z,u) * w) \ x) = w * a(y,z,u). L(x,x,a(y,z,u)) * a(y,z,u) = a(y,z,u) / (x \ 1). (x * T(y,a(z,u,w) * x)) * a(z,u,w) = L(y,x,a(z,u,w)) * (a(z,u,w) * x). (a(x,y,z) * u) \ w = (u * a(x,y,z)) \ w. (a(x,y,z) * u) * T(w,a(x,y,z) * u) = w * (u * a(x,y,z)). R(a(x,y,z),u,w) * (u * w) = (u * a(x,y,z)) * w. (a(x,y,z) * u) \ ((u * w) * a(x,y,z)) = L(w,u,a(x,y,z)). (x * a(y,z,u)) * (w * w) = a(y,z,u) * (x * (w * w)). (x * (y * a(z,u,w))) \ ((x * a(z,u,w)) * y) = a(x,a(z,u,w),y). (a(x,y,z) * (u * w)) \ ((u * a(x,y,z)) * w) = a(a(x,y,z),u,w). (x * (a(y,z,u) * w)) \ ((a(y,z,u) * x) * w) = a(x,a(y,z,u),w). (x * a(y,z,u)) \ (a(y,z,u) * (x * w)) = L(w,x,a(y,z,u)). ((x * a(y,z,u)) * w) / (x * w) = R(a(y,z,u),x,w). L(x \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (a(z,u,w) * y). L(a(x,y,z) \ u,a(x,y,z),w) = (a(x,y,z) * w) \ (w * u). L(x \ (a(y,z,u) \ w),x,a(y,z,u)) = (x * a(y,z,u)) \ w. (x * (y * a(z,u,w))) \ (x * (a(z,u,w) * (y * v5))) = L(L(v5,y,a(z,u,w)),a(z,u,w) * y,x). (x * a(y,z,u)) \ (a(y,z,u) * (w * x)) = L(T(w,x),x,a(y,z,u)). (a(x,y,z) * u) \ ((w * u) * a(x,y,z)) = R(T(w,u * 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) \ 1). x * T(a(y,z,u),w) = a(y,z,u) * x. a(x,y,z) * (a(u,w,v5) * v6) = (v6 * a(u,w,v5)) * a(x,y,z). x / T(a(y,z,u),w) = a(y,z,u) \ x. x * ((a(y,z,u) \ w) \ w) = a(y,z,u) * x. a(x \ (y / z),x,z) \ y = ((y / z) / x) * (x * z). a(x / y,y,z) \ (x * z) = (x / y) * (y * z). a(x,x \ y,z) \ (y * z) = x * ((x \ y) * z). R((a(x,y,z) \ 1) \ u,a(x,y,z) \ 1,a(x,y,z) \ 1) = T(u * a(x,y,z),a(x,y,z) \ 1). L(a(x,y,z),u,a(x,y,z)) = a(x,y,z). R(a(x,y,z),u,a(x,y,z)) = a(x,y,z). a(x,y,z) * ((a(u,w,v5) \ v6) * a(u,w,v5)) = v6 * a(x,y,z). L(a(x,y,z) * u,w,v5) = L(u * a(x,y,z),w,v5). x \ ((a(y,z,u) \ x) * (a(y,z,u) * w)) = L(w,a(y,z,u),a(y,z,u) \ x). (x * ((x \ (a(y,z,u) \ w)) * a(y,z,u))) \ w = a(x,x \ (a(y,z,u) \ w),a(y,z,u)). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = w \ ((a(x,y,z) \ w) * u). (a(x,y,z) \ u) * (a(x,y,z) \ 1) = u / (a(x,y,z) * a(x,y,z)). T(x / a(y,z,u),a(w,v5,v6)) = a(y,z,u) \ x. (x * y) / (z * ((z \ x) * y)) = a(z,z \ x,y). (a(x,y,z) \ 1) \ L((1 / a(x,y,z)) * u,w,v5) = a(x,y,z) * L(a(x,y,z) \ u,w,v5). L(x,y,(z * a(u,w,v5)) * v6) = L(x,y,v6 * (a(u,w,v5) * z)). T((x * (a(y,z,u) * w)) / x,x * (w * a(y,z,u))) = L(w * a(y,z,u),x,w * a(y,z,u)). (x * y) * ((y \ x) / (x * x)) = a(x,y,y \ x). ((x * y) * z) / ((x * (y * (z \ 1))) * (z * z)) = a(x,y,z \ 1). R(R(x,y,z) / x,x,y * z) = a(x,y,z). x / (((x / y) / z) * (z * y)) = a((x / y) / z,z,y). ((x * L(y,z,u)) * y) / (x * (y * L(y,z,u))) = a(x,L(y,z,u),y). (((x * y) * z) * (u \ (1 / u))) / (x * (y * (z * (u \ (1 / u))))) = a(x,y,z * (u \ (1 / u))). (L(x,y,z) * u) / ((x \ L(x,y,z)) * (x * u)) = a(x \ L(x,y,z),x,u). (a(x,y,z) * (u * w)) / (a(x,y,z) * w) = R(u,w,a(x,y,z)). a(x,y,z) * ((u * a(x,y,z)) / (a(x,y,z) * a(x,y,z))) = R(u,a(x,y,z),a(x,y,z)). T(a(x,y,x * y) \ 1,(x * y) * (x * y)) = ((x * y) * (x * y)) \ (x * (y * (x * y))). a(x,y,z) * (L(a(x,y,z),u,w) \ (x * (y * z))) = L(a(x,y,z),u,w) \ ((x * y) * z). (x * (a(y,z,u) * w)) \ (a(y,z,u) * (x * w)) = a(x,w,a(y,z,u)). (x * y) \ (a(z,u,w) * (x * (a(z,u,w) \ y))) = a(x,a(z,u,w) \ y,a(z,u,w)). x \ (y \ (a(z,u,w) * v5)) = x \ (y \ (v5 * a(z,u,w))). ((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x. (x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)). ((a(x,y,z) * u) \ w) \ v5 = ((u * a(x,y,z)) \ w) \ v5. ((a(x,y,z) * u) \ w) * v5 = ((u * a(x,y,z)) \ w) * v5. x * ((a(y,z,u) * w) \ v5) = x * ((w * a(y,z,u)) \ v5). T(x,a(y,z,u) * w) = T(x,w * a(y,z,u)). a(x,y,z) * (u * (w * w)) = u * (a(x,y,z) * (w * w)). (x * (y * a(z,u,w))) \ ((a(z,u,w) * x) * y) = a(x,a(z,u,w),y). L(x \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (y * a(z,u,w)). L(x \ (y / (a(z,u,w) \ 1)),x,a(z,u,w)) = (a(z,u,w) * x) \ (y * (a(z,u,w) * a(z,u,w))). (a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(w,a(x,y,z),u). a(x,y,z) * (u * (a(x,y,z) \ 1)) = R(u,a(x,y,z) \ 1,a(x,y,z)). x / L(a(y,z,u),w,v5) = L(a(y,z,u),w,v5) \ x. L(a(x,y,z),u,u \ w) * w = (w / u) * (u * a(x,y,z)). T(x,L(a(y,z,u),w,v5)) = x. ((x / y) * (y * a(z,u,w))) / x = L(a(z,u,w),y,y \ x). K(x,L(a(y,z,u),w,v5)) = 1. (L(a(x,y,z),u,w) * v5) \ ((v6 * v5) * L(a(x,y,z),u,w)) = L(T(v6,v5),v5,L(a(x,y,z),u,w)). (L(a(x,y,z),u,w) * v5) \ (v5 * (v6 * L(a(x,y,z),u,w))) = L(T(v6,L(a(x,y,z),u,w)),L(a(x,y,z),u,w),v5). (L(a(x,y,z),u,w) * v5) \ ((v6 * v5) * L(a(x,y,z),u,w)) = R(T(v6,v5 * L(a(x,y,z),u,w)),v5,L(a(x,y,z),u,w)). L(a(x,y,z),a(x,y,z) \ u,w) \ (w * u) = w * (a(x,y,z) \ u). R(T(x,x * a(y,z,u)),x,a(y,z,u)) = L(x,x,a(y,z,u)). a(x,y,z) \ (K(u,w) * v5) = K(u,w) * (a(x,y,z) \ v5). a(x \ y,x,z) \ (y * z) = (y / x) * (x * z). x / (y * ((y \ (x / z)) * z)) = a(y,y \ (x / z),z). (a(x,y,z) * ((a(u,w,v5) \ v6) * a(u,w,v5))) / (a(x,y,z) * a(x,y,z)) = v6 * (a(x,y,z) \ 1). x \ ((a(y,z,u) \ x) * (w * a(y,z,u))) = L(w,a(y,z,u),a(y,z,u) \ x). R(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = (u * (x * (y * z))) / ((x * y) * z). L(x,a(y,z,u),a(y,z,u)) / (a(y,z,u) \ 1) = a(y,z,u) * T(x,a(y,z,u) * a(y,z,u)). (x * y) * (y \ (x \ 1)) = a(x,y,y \ x). R(x,y,y) / x = a(x,y,y). a(x,y,y) * x = R(x,y,y). R(x \ R(x,y,z),x,y * z) = a(x,y,z). a((x / (y \ 1)) / y,y,y \ 1) = x / ((x / (y \ 1)) / y). (a(x,y,z) * u) / ((a(x,y,z) * (w * w)) / (w * w)) = R(u,w * w,a(x,y,z)). (a(x,y,z) * ((u * w) * v5)) / (a(x,y,z) * (w * v5)) = R(R(u,w,v5),w * v5,a(x,y,z)). a(x,y,z) * (u * (a(x,y,z) \ 1)) = R(u,a(x,y,z),a(x,y,z)). x * (y * ((x * y) \ 1)) = a(x,y,x * y) \ 1. a(x,y,z) * (u / (a(x,y,z) * a(x,y,z))) = u * (a(x,y,z) \ 1). ((x * y) * L(y \ 1,z,u)) / L(y \ L(y,z,u),x,a(x,y,L(y \ 1,z,u))) = a(x,y,L(y \ 1,z,u)) * x. (K(x,x \ 1) * y) / L((1 / x) * y,x,a(x,1 / x,y)) = a(x,1 / x,y) * x. (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). (a(x,y,z) * u) \ L(a(x,y,z),u \ 1,u) = L(u \ 1,a(x,y,z),u). (x * (a(y,z,u) * w)) / (x * w) = L(a(y,z,u),w,x). ((x * y) * L(y,z,u)) / (x * (y * L(y,z,u))) = a(x,L(y,z,u),y). (L(a(x,y,z),u,w) * v5) \ (v5 * (v6 * L(a(x,y,z),u,w))) = L(v6,L(a(x,y,z),u,w),v5). R(T(x,y * L(a(z,u,w),v5,v6)),y,L(a(z,u,w),v5,v6)) = L(T(x,y),y,L(a(z,u,w),v5,v6)). K(x,y) * (a(z,u,w) \ 1) = a(z,u,w) \ K(x,y). (a(x,y,z) \ K(u,w)) * (v5 * v5) = K(u,w) * (a(x,y,z) \ (v5 * v5)). (1 / x) * R(x,y,y) = a(x,y,y). x \ R(x,y,y) = a(x,y,y). x * a(x,y,y) = R(x,y,y). L(x \ y,x,a(x,z,z)) = R(x,z,z) \ (a(x,z,z) * y). a(x,y,y \ 1) = a(x,y,y). L(x,y,z) \ L(R(x,u,u),y,z) = a(L(x,y,z),u,u). a(x,y * (z \ 1),y * (z \ 1)) = x \ R(x,y * (z \ 1),y * z). x \ R(x,y \ L(y,z,u),y * L(y,z,u)) = a(x,y \ L(y,z,u),y \ L(y,z,u)). T(x,y / ((y / (z \ 1)) / z)) = x. R(x,y * y,a(z,u,w)) = (a(z,u,w) * x) / a(z,u,w). (x * y) \ L(x * y,y,x) = a(x,y,x * y) \ 1. (x \ a(y,z,u)) * (a(y,z,u) \ 1) = a(y,z,u) * (x \ (a(y,z,u) \ 1)). K(x,y) * ((a(z,u,w) \ 1) * v5) = (a(z,u,w) \ K(x,y)) * v5. a(x,y,z) \ R(u,a(x,y,z),a(x,y,z)) = u * (a(x,y,z) \ 1). R(x,a(y,z,u) \ 1,a(y,z,u)) = R(x,a(y,z,u),a(y,z,u)). (x * a(y,z,u)) \ R(x,a(y,z,u),a(y,z,u)) = L(a(y,z,u) \ 1,x,a(y,z,u)). (x * (a(y,z,u) * a(y,z,u))) / (x * a(y,z,u)) = x \ (x / (a(y,z,u) \ 1)). x * ((a(y,z,u) * x) / (x * x)) = L(a(y,z,u),x,x). R(T(x,L(a(y,z,u),w,v5) * v6),v6,L(a(y,z,u),w,v5)) = L(T(x,v6),v6,L(a(y,z,u),w,v5)). x * (a(y,z,u) * (x \ 1)) = L(a(y,z,u),x,x). R(x,y * y,a(z,u,w)) = x. ((x * y) * z) / (x * ((y * (z \ 1)) * (z * z))) = a(x,y,z \ 1). R((a(x,y,z) \ 1) \ u,a(x,y,z) \ 1,a(x,y,z)) = T(u * a(x,y,z),a(x,y,z) \ 1). x \ L(a(y,z,u),x,x) = a(y,z,u) * (x \ 1). L(a(x,y,z),u \ 1,u) = L(a(x,y,z),u,u). x \ L(a(y,z,u),x,x) = (x \ 1) * a(y,z,u). ((x * y) * z) / ((x * (y * (z * (u \ (1 / u))))) * ((1 / u) \ u)) = a(x,y,z * (u \ (1 / u))). L(a(x,y,z) \ 1,u,a(x,y,z)) = a(x,y,z) \ 1. a(x,L(y,z,u),y) = a(x,y,L(y,z,u)). x \ R(x,y \ 1,y) = a(x,y \ 1,y). R(x \ R(x,y,z),x,y * z) / (x \ 1) = x * a(x,y,z). R((1 / x) * R(x,y,z),x,y * z) = L(a(x,y,z),x,x \ 1). R((a(x,y,z) \ 1) \ u,a(x,y,z),a(x,y,z)) = T(u * a(x,y,z),a(x,y,z) \ 1). ((x * y) * z) / (x * (y * ((z \ 1) * (z * z)))) = a(x,y,z \ 1). (x * (y * y)) * a(z,u,w) = x * ((y * y) * a(z,u,w)). L(x,y,z) \ L(R(x,u \ 1,u),y,z) = a(L(x,y,z),u \ 1,u). R(x \ R(x,y,z),x,y * z) = L(a(x,y,z),x,x \ 1). ((x * y) * z) / (x * (y * z)) = a(x,y,z \ 1). (a(x,y,z) * u) \ L(a(x,y,z),u,u) = L(u \ 1,a(x,y,z),u). a(x \ 1,x,y) \ y = (1 / x) * (x * y). R(1 / a(x \ y,x,z),a(x \ y,x,z),(y / x) * (x * z)) = (a(x \ y,x,z) \ (y * z)) / (y * z). a(x \ (y \ L(y,z,u)),x,y) \ L(y,z,u) = ((y \ L(y,z,u)) / x) * (x * y). R(x,y,(z / u) * (u * z)) = R(x,y,a(u \ z,u,z)). a(x \ 1,x,y) \ y = L(y,x,x \ 1). ((1 / x) * (x * y)) \ y = a(x \ 1,x,y). L(x,y,y \ 1) \ x = a(y \ 1,y,x). L(x \ L(x,y,y \ 1),z,u) \ 1 = a(y \ 1,y,L(x,z,u)). a(x,y,z) / (x \ 1) = x * a(x,y,z). L(a(x,y,z),x,x \ 1) = a(x,y,z). x / ((x * a(y,z,u)) / (a(y,z,u) * a(y,z,u))) = x \ (x / (a(y,z,u) \ 1)). ((x * y) * z) / (x * ((y * (z * (u \ (1 / u)))) * ((1 / u) \ u))) = a(x,y,z * (u \ (1 / u))). a(x,y,z \ 1) = a(x,y,z). a(x \ (a(y,z,u) \ w),x,a(y,z,u)) \ w = ((w / a(y,z,u)) / x) * (x * a(y,z,u)). R(a(x \ y,x,z) \ 1,a(x \ y,x,z),(y / x) * (x * z)) = (a(x \ y,x,z) \ (y * z)) / (y * z). (1 / x) \ a(x,y,z) = x * a(x,y,z). (L(x,y,z) * u) / (x * ((x \ L(x,y,z)) * u)) = a(x \ L(x,y,z),x,u). x / (x * (a(y,z,u) \ 1)) = x \ (x / (a(y,z,u) \ 1)). a(x,y,1 / z) = a(x,y,z). a(x,y,z) \ ((x * y) * (z \ 1)) = x * (y * (z \ 1)). ((x * y) * z) / (x * (y * (z * ((u \ (1 / u)) * ((1 / u) \ u))))) = a(x,y,z * (u \ (1 / u))). (x \ 1) * a(x \ 1,y,z) = x \ a(x \ 1,y,z). L(a(x,y,z),a(x,y,z),u) = u / (u * (a(x,y,z) \ 1)). L((a(x,y,x * y) \ 1) \ z,x * y,(x * y) \ L(x * y,y,x)) = (x * y) * (L(x * y,y,x) \ z). L(1 / T((x \ 1) \ 1,y),x,x \ 1) = K(x,x \ 1) / T((x \ 1) \ 1,y). T(1 / (1 / ((x * y) / x)),y \ 1) = (x * y) / x. T(x,T(x,y) \ 1) = T(x,x \ 1). a(x,y,z * (u \ (1 / u))) = ((x * y) * z) / (x * (y * z)). L(a(x,y,z),a(x,y,z),u) \ u = u * (a(x,y,z) \ 1). a(x \ L(x,y,z),x,u) = a(x,x \ L(x,y,z),u). a(x,y,z * (u \ (1 / u))) = a(x,y,z). a(x,y,z * (1 / u)) = a(x,y,z * u). a(x,y,L(1 / z,u,w)) = a(x,y,L(z,u,w)). a(x,y,z * (u \ 1)) = a(x,y,z * u). a(x,y,L(z \ 1,u,w)) = a(x,y,L(z,u,w)). a(x,y,L(L(z,u,w) \ z,v5,v6)) = a(x,y,L(z \ L(z,u,w),v5,v6)). L((a(x,y,x * y) \ 1) \ z,x * y,a(x,y,x * y) \ 1) = (x * y) * (L(x * y,y,x) \ z). a(x,y,L(z,u,w) \ z) = a(x,y,z * L(z,u,w)). a(x,y,L(z,u,w) \ L(z,v5,v6)) = a(x,y,L(z,v5,v6) * L(z,u,w)). a(x,y,z * (a(u,w,v5) \ 1)) = a(x,y,a(u,w,v5) * z). a(x,y,L(z \ u,z \ u,z)) = a(x,y,u \ z). ((x * y) * L(y \ 1,z,u)) / L(y \ L(y,z,u),x,a(x,y,L(y,z,u))) = a(x,y,L(y \ 1,z,u)) * x. x \ R(x,L(y,z,u) \ y,L(y,z,u) \ y) = a(x,L(y,z,u) \ y,y * L(y,z,u)). a(x,y,z * L(z,u \ 1,u)) = a(x,y,a(u,u \ 1,z)). a(x,y,(L(z,z,u) \ w) * L(L(z,z,u) \ w,L(z,z,u),u)) = a(x,y,((u / (z \ 1)) \ (u * w)) \ (L(z,z,u) \ w)). a(x,y,(z \ u) * L(z \ u,z,z \ 1)) = a(x,y,((1 / z) * u) \ (z \ u)). x \ R(x,L(y,z,u) \ y,y * L(y,z,u)) = a(x,L(y,z,u) \ y,y * L(y,z,u)). a(x,y,((1 / z) * u) \ (z \ u)) = a(x,y,(z \ u) * ((1 / z) * u)). ((L(x,y,z) * (z * y)) / (z * y)) * T(((L(x,y,z) * (z * y)) / (z * y)) \ x,u) = (x * (z * y)) / (z * y). ((L(x,y,z) * (z * y)) / (z * y)) * T(((L(x,y,z) * (z * y)) / (z * y)) \ x,u) = x. L(x,y,z) * T(((L(x,y,z) * (z * y)) / (z * y)) \ x,u) = x. K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. T(x,T(y,y \ 1)) = T(x,y). L(K(x \ 1,x),y,z) * (z * y) = z * (K(x \ 1,x) * y). K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). (x * y) * K(z \ 1,L(z,u,w)) = x * (K(z \ 1,z) * y). (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). K(x \ 1,x) * ((y * x) / z) = (y * (1 / (1 / x))) / z. (x * y) * K(z,L(1 / z,u,w)) = x * (K((1 / z) \ 1,1 / z) * y). (x * y) * K(z,L(z \ 1,u,w)) = x * (K((1 / z) \ 1,1 / z) * y). (x * y) * K(z,L(z \ 1,u,w)) = x * (K(z,1 / z) * y). (x * y) * K(z,L(z \ 1,u,w)) = x * (K(z,z \ 1) * y). K(x,L(x \ 1,y,z)) = K(x,x \ 1). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). K(x \ 1,x) * (y * (1 / x)) = R(y / x,x,1 / x). (x * (1 / y)) \ (z * K(y,y \ 1)) = (x * (y \ 1)) \ z. ((x * (y \ 1)) * z) * K(y,y \ 1) = (x * (1 / y)) * z. (x * (1 / y)) * y = R(x,y \ 1,y). R(x,y \ 1,y) / y = x * (1 / y). R(x / (1 / y),y \ 1,y) = x * y. R(x,1 / y,y) = R(x,y \ 1,y). R(x,y \ 1,y) * (y \ 1) = R(x * (1 / y),y,y). R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. R(x,1 / y,1 / y) = R(x,y \ 1,y). L(L((1 / x) \ 1,y * (1 / x),K(x \ 1,x)),1 / x,y) = R(y / x,x,1 / x) \ (K(x \ 1,x) * y). T(x,(y \ 1) \ 1) = T(x,y). T(x,1 / y) = T(x,y \ 1). ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). T(x / (1 / y),y \ 1) = (1 / y) \ x. T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). L(T(x,y \ 1) \ z,T(x,1 / y),y \ 1) = (x * (1 / y)) \ ((1 / y) * z). T(((1 / x) * y) * x,x \ 1) = R(y,x \ 1,x). (x \ 1) * R(y,x \ 1,x) = R((1 / x) * y,x,x). (x * y) * ((((z \ 1) \ 1) \ L(y \ ((z \ 1) \ 1),y,x)) * T(z,z \ 1)) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1). (x * y) * ((z \ L(y \ ((z \ 1) \ 1),y,x)) * z) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1). (x * y) * L((z \ (y \ ((z \ 1) \ 1))) * z,y,x) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1). (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1) = x * (y * ((z \ (y \ ((z \ 1) \ 1))) * z)). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). L(L(x,y * (1 / x),K(x \ 1,x)),1 / x,y) = R(y / x,x,1 / x) \ (K(x \ 1,x) * y). L(L(x,y * (1 / x),K(x \ 1,x)),1 / x,y) = (y * (x \ 1)) \ (K(x \ 1,x) * y). L(L(x,y * (1 / x),K(x \ 1,x)),1 / x,y) = L(x,x \ 1,y). L(x,1 / x,y) = L(x,x \ 1,y). L(T(x,y \ 1) \ z,T(x,y \ 1),y \ 1) = (x * (1 / y)) \ ((1 / y) * z). (x * (1 / y)) \ ((1 / y) * z) = (x * (y \ 1)) \ ((y \ 1) * z). (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). K(1 / x,y) = K(x \ 1,y). K((x \ 1) \ 1,y) = K(x,y). L(x,x \ 1,y) = (y * (1 / x)) \ y. L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). L(x,y,z) * T(L(x,y,z) \ x,u) = x. T(L(x,y,z) \ x,u) = L(x,y,z) \ x. (x \ (y * (L(y,z,u) \ x))) * x = y * (L(y,z,u) \ x). K(L(x,y,z) \ x,u) = 1. T(x,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). ((L(x,y,z) \ x) \ u) * (L(x,y,z) \ x) = u. x \ ((L(y,z,u) \ y) * w) = x \ (w * (L(y,z,u) \ y)). ((L(x,y,z) \ x) * u) * w = (u * (L(x,y,z) \ x)) * w. L(L(x,y,z) \ x,u,w) * v5 = v5 * L(L(x,y,z) \ x,u,w). R(L(x,y,z) \ x,u,w) * v5 = v5 * R(L(x,y,z) \ x,u,w). x * ((L(y,z,u) \ y) * (x \ 1)) = L(L(y,z,u) \ y,x \ 1,x). L(L(x,y,z) \ x,u,w) * (w * u) = w * (u * (L(x,y,z) \ x)). x * (L(L(y,z,u) \ y,w,v5) * v6) = x * (v6 * L(L(y,z,u) \ y,w,v5)). (x * ((L(y,z,u) \ y) \ 1)) * (L(y,z,u) \ y) = R(x,(L(y,z,u) \ y) \ 1,L(y,z,u) \ y). K(x,L(y,z,u) \ y) = 1. (L(x,y,z) \ x) * (u / ((L(x,y,z) \ x) \ 1)) = u * ((L(x,y,z) \ x) * (L(x,y,z) \ x)). T(x,L(y,z,u) \ y) != w | x = w. (1 / (L(x,y,z) \ x)) * (u * (L(x,y,z) \ x)) = L(u,L(x,y,z) \ x,(L(x,y,z) \ x) \ 1). 1 / (x \ L(x,y,z)) = (x \ L(x,y,z)) \ 1. L(x,L(y,z,u) \ y,(L(y,z,u) \ y) \ 1) = (y \ L(y,z,u)) * (x * (L(y,z,u) \ y)). (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = R(1 / x,x,L(x,y,z) \ 1). 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. x * ((L(x,y,z) \ x) \ 1) = L(x,y,z). (((x * y) \ (x * z)) \ (y \ z)) \ u = u / (L(y \ z,y,x) \ (y \ z)). (x * L(L(y,z,u) \ y,w,v5)) / (L(y,z,u) \ y) = ((L(y,z,u) \ y) \ x) * L(L(y,z,u) \ y,w,v5). (x * (y * (L(z,u,w) \ z))) / (x * y) = L(L(z,u,w) \ z,y,x). (L(x,y,z) \ x) * L(x,u,w) = x * (L(x,y,z) \ L(x,u,w)). ((x * y) * (L(z,u,w) \ z)) / ((L(z,u,w) \ z) * y) = R(x,y,L(z,u,w) \ z). x / ((L(y,z,u) \ y) * w) = x / (w * (L(y,z,u) \ y)). (x * ((L(y,z,u) \ y) * w)) \ (((L(y,z,u) \ y) * x) * w) = a(x,L(y,z,u) \ y,w). ((L(x,y,z) \ x) * u) \ (u * (w * (L(x,y,z) \ x))) = L(T(w,L(x,y,z) \ x),L(x,y,z) \ x,u). (x * y) \ ((x * (L(z,u,w) \ z)) * y) = R(T(L(z,u,w) \ z,x * y),x,y). (x * ((L(y,z,u) \ y) * w)) / (x * w) = L(L(y,z,u) \ y,w,x). ((x \ L(x,y,z)) \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ ((x \ L(x,y,z)) \ 1). ((x \ L(x,y,z)) \ 1) * ((x \ L(x,y,z)) * u) = L(u,x \ L(x,y,z),(x \ L(x,y,z)) \ 1). ((x \ L(x,y,z)) \ 1) * L(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)) \ 1)) * (y \ L(y,z,u)) = R(x,(y \ L(y,z,u)) \ 1,y \ L(y,z,u)). x / L(L(y,z,u) \ y,w,v5) = L(L(y,z,u) \ y,w,v5) \ x. L(L(x,y,z) \ x,u,u \ w) * w = (w / u) * (u * (L(x,y,z) \ x)). ((x \ L(x,y,z)) \ 1) * ((x \ L(x,y,z)) \ 1) = L(x,y,z) \ (x * ((x \ L(x,y,z)) \ 1)). L(x,y \ L(y,z,u),(y \ L(y,z,u)) \ 1) = (L(y,z,u) \ y) * ((y \ L(y,z,u)) * x). (x * ((y \ L(y,z,u)) \ 1)) * (y \ L(y,z,u)) = R(x,(y \ L(y,z,u)) \ 1,y * L(y,z,u)). (L(x,y,z) \ x) * (u * ((L(x,y,z) \ x) \ 1)) = R(u,(L(x,y,z) \ x) \ 1,L(x,y,z) \ x). (((x * y) \ (x * z)) \ (y \ z)) \ 1 = (y \ z) \ L(y \ z,y,x). (x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w) = (L(x,y,z) \ x) * L(x \ L(x,y,z),u,w). ((L(x,y,z) \ x) * (u * w)) / ((L(x,y,z) \ x) * w) = R(u,w,L(x,y,z) \ x). ((L(x,y,z) \ x) * u) \ (u * (w * (L(x,y,z) \ x))) = L(w,L(x,y,z) \ x,u). (x * y) \ ((x * (L(z,u,w) \ z)) * y) = R(L(z,u,w) \ z,x,y). x * (((L(y,z,u) \ y) * x) / (x * x)) = L(L(y,z,u) \ y,x,x). (L(x,y,z) \ x) * (u * ((L(x,y,z) \ x) \ 1)) = R(u,(L(x,y,z) \ x) \ 1,x * L(x,y,z)). ((L(x,y,z) \ x) * (u * w)) / ((L(x,y,z) \ x) * w) = R(u,w,x * L(x,y,z)). R(L(x,y,z) \ x,L(x,y,z),u) = (L(x,y,z) * u) \ (x * u). x * ((L(y,z,u) \ y) * (x \ 1)) = L(L(y,z,u) \ y,x,x). ((x \ L(x,y,z)) \ 1) * ((x \ L(x,y,z)) \ 1) = x * (L(x,y,z) \ ((x \ L(x,y,z)) \ 1)). (L(x,y,z) * L(x,y,z)) \ (x * L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) * L(x,y,z)) * (L(x,y,z) \ x) = x * L(x,y,z). L(L(x,y,z) \ x,u \ 1,u) = L(L(x,y,z) \ x,u,u). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = R(1 / x,x,L(x,y,z)). (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ 1) = x * (L(x,y,z) \ ((x \ L(x,y,z)) \ 1)). x \ L(L(y,z,u) \ y,x,x) = (x \ 1) * (L(y,z,u) \ y). L(L(x,y,z) \ x,u,u) \ (L(x,y,z) \ x) = a(u,u \ 1,L(x,y,z) \ x). R(x,(y \ L(y,z,u)) \ 1,y * L(y,z,u)) = (x * (L(y,z,u) \ y)) * (y \ L(y,z,u)). (((x * y) \ (x * z)) \ (y \ z)) \ 1 = (y \ z) \ ((x * y) \ (x * z)). (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) \ 1 = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). L(x * y,y,x) \ (x * y) = a(x,y,x * y). x / ((L(y,z,u) \ y) \ (y \ L(y,z,u))) = x * ((L(y,z,u) \ y) * (L(y,z,u) \ y)). (x \ (x \ L(x,y,z))) * L((x \ ((L(x,y,z) \ x) \ 1)) \ u,w,v5) = (L(x,y,z) \ 1) * L((x \ (L(x,y,z) \ x)) \ u,w,v5). (L(x \ (1 / y),x,y) \ (x \ (1 / y))) \ 1 = (x \ (1 / y)) \ ((y * x) \ K(y,y \ 1)). a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1). (L(x,y,z) \ x) * (u / (x \ L(x,y,z))) = u * ((L(x,y,z) \ x) * (L(x,y,z) \ x)). R(x,(L(y,z,u) \ y) \ 1,y * L(y,z,u)) = (L(y,z,u) \ y) * (x * (y \ L(y,z,u))). (L(x,y,z) \ x) * R(x \ L(x,y,z),u,u) = a(x \ L(x,y,z),u,u). (x \ L(x,y,z)) * (u * (L(x,y,z) \ x)) = L(u,L(x,y,z) \ x,x \ L(x,y,z)). (L(x,y,z) \ x) * ((x \ L(x,y,z)) * u) = L(u,x \ L(x,y,z),L(x,y,z) \ x). x * (L(x,y,z) \ ((x \ L(x,y,z)) \ 1)) = (L(x,y,z) \ x) * (L(x,y,z) \ x). (x * (L(y,z,u) \ y)) * (y \ L(y,z,u)) = R(x,L(y,z,u) \ y,y * L(y,z,u)). a(x,y,(z * u) * L(z * u,u,z)) = a(x,y,a(z,u,z * u)). L(a(x \ 1,x,y) \ 1,z,u) \ 1 = a(x \ 1,x,L(y,z,u)). (L(x,y,z) \ x) * (u * (x \ L(x,y,z))) = R(u,x \ L(x,y,z),x * L(x,y,z)). L(x \ 1,y,z) * L((x \ ((L(x,y,z) \ x) \ 1)) \ u,w,v5) = (L(x,y,z) \ 1) * L((x \ (L(x,y,z) \ x)) \ u,w,v5). (L(x,y,z) \ x) * (L(x,y,z) \ x) = x * (L(x,y,z) \ (L(x,y,z) \ x)). a(x,y,z * (u * (z * u))) = a(x,y,a(z,u,z * u)). (L(x,y,z) \ 1) * L((x \ (L(x,y,z) \ x)) \ u,w,v5) = L(x \ 1,y,z) * L((x \ (x \ L(x,y,z))) \ u,w,v5). (x * (L(x,y,z) \ (L(x,y,z) \ x))) \ L(u,w,v5) = L(((L(x,y,z) \ x) * (L(x,y,z) \ x)) \ u,w,v5). a(x \ 1,x,L(y,z,u)) \ 1 = L(a(x \ 1,x,y) \ 1,z,u). (L(x,y,z) \ 1) * L((x \ (L(x,y,z) \ x)) \ u,w,v5) = L(x \ 1,y,z) * L(L(x \ 1,y,z) \ u,w,v5). (L(x,y,z) \ 1) * L((L(x,y,z) \ 1) \ u,w,v5) = L(x \ 1,y,z) * L(L(x \ 1,y,z) \ u,w,v5). L(x \ 1,y,z) * L(L(x \ 1,y,z) \ u,w,v5) = L(x,y,z) * L(L(x,y,z) \ u,w,v5). R((x / y) * K(y \ 1,y),y,K(y,y \ 1)) = x / T(y,y \ 1). (x / y) * K(y \ 1,y) = x / T(y,y \ 1). x * T(x \ (x / y),y) = x / T(y,y \ 1). x \ (x / T(y,y \ 1)) = T(x \ (x / y),y). T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). T(x,y * K(z \ 1,z)) = T(x,y). T(x,y * K(z,z \ 1)) = T(x,y). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). T(x,K(y,y \ 1) * z) = T(x,z). T(x,y * ((z \ 1) \ 1)) = T(x,y * z). (1 / (1 / ((x * y) / x))) * (y \ 1) = (y \ 1) * ((x * y) / x). L((x * y) / x,y \ 1,y) = 1 / (1 / ((x * y) / x)). (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). K(x \ 1,x) * ((y * x) / y) = 1 / (1 / ((y * x) / y)). K(((x * y) / x) \ 1,(x * y) / x) = K(y \ 1,y). K(x \ 1,x) * ((((y * x) / y) \ 1) \ 1) = (y * x) / y. K(x \ 1,x) * ((((y * x) / y) \ 1) \ 1) = (1 / x) \ (((y * x) / y) * (x \ 1)). (x \ 1) * ((((y * x) / y) \ 1) \ 1) = ((y * x) / y) * (x \ 1). (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. T(x \ y,x / y) = ((x \ y) \ 1) \ 1. T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). K(x,y) / T((z \ 1) \ 1,u) = K(x,y) * (T(z,u) \ 1). T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). L(1 / T((x \ 1) \ 1,y),x,x \ 1) = K(x,x \ 1) * (T(x,y) \ 1). L(1 / T((x \ 1) \ 1,y),x,x \ 1) = T(1 / (1 / x),y) \ 1. L(1 / T((x \ 1) \ 1,y),x,x \ 1) = 1 / T(x,y). L(T(x,y) \ 1,x,x \ 1) = 1 / T(x,y). (1 / x) * (T(x,y) \ x) = 1 / T(x,y). (x \ 1) * (T(x,y) \ x) = T(1 / T(x,y),x). (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. R(x,T(y,x),K(z \ 1,R(z,u,w))) \ ((y * K(z \ 1,z)) * x) = T(y,x) * T(K(z \ 1,R(z,u,w)),y * x). T(x,y) * T(K(z \ 1,R(z,u,w)),x * y) = y \ ((x * K(z \ 1,z)) * y). T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). (x * T(x \ 1,y)) * ((y \ 1) \ 1) = (y \ 1) \ (x * T(x \ 1,y)). x * ((y \ (x \ ((y \ 1) \ 1))) * y) = (y \ 1) \ (x * T(x \ 1,y)). ((x * (y * T(y \ 1,z))) * ((z \ 1) \ 1)) / ((z \ 1) \ (y * T(y \ 1,z))) = R(x,y * T(y \ 1,z),(z \ 1) \ 1). ((x * (y * T(y \ 1,z))) * ((z \ 1) \ 1)) / ((z \ 1) \ (y * T(y \ 1,z))) = R(x,y * T(y \ 1,z),z). (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1) = x * ((z \ 1) \ (y * T(y \ 1,z))). (x * ((y \ 1) \ (z * T(z \ 1,y)))) / ((y \ 1) \ (z * T(z \ 1,y))) = R(x,z * T(z \ 1,y),y). R(x,y * T(y \ 1,z),z) = x. R(x,y \ T(y,z),z) = x. R(x,K(y,z),z) = x. (x * y) \ ((y * x) * x) = K(y,x) * x. T(x,y) * (x \ y) = y * (x \ T(x,y)). T(x,(y * x) \ y) = (x \ 1) \ 1. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(x,(y * x) \ y) = T(x,x \ 1). T(1 / (1 / x),(y * x) \ y) = x. (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. T(x / y,x \ y) = (y * (((y \ x) \ 1) \ 1)) / y. T(x / y,x \ y) = ((x / y) \ 1) \ 1. (x * ((y / z) \ 1)) * T(y / z,y \ z) = R(x,(y / z) \ 1,y / z). L(x,(y * x) \ y,x) = 1 / (1 / x). L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). L(1 / ((x / (y \ 1)) \ x),(x / (y \ 1)) \ x,x / (y \ 1)) = 1 / (1 / L(y,y,x)). L(1 / (x \ 1),(y / (x \ 1)) \ y,y / (x \ 1)) = 1 / (1 / L(x,x,y)). L(x,(y / (x \ 1)) \ y,y / (x \ 1)) = 1 / (1 / L(x,x,y)). L(x,x \ 1,y / (x \ 1)) = 1 / (1 / L(x,x,y)). L(x,x \ 1,(x \ 1) \ y) = 1 / (1 / L(x,x,y)). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). x * (y * R(y \ (x \ y),z,u)) = y * (x * R(x \ 1,z,u)). T(x,y) * T(K(z \ 1,R(z,u,w)),x * y) = T(x * K(z \ 1,z),y). T(x,y) * K(z \ 1,R(z,u,w)) = T(x * K(z \ 1,z),y). T(x,y) * K(z \ 1,z) = T(x * K(z \ 1,z),y). T(x,y) * K(z \ 1,z) = T(K(z \ 1,z) * x,y). K(x \ 1,x) * T(y,z) = T(K(x \ 1,x) * y,z). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). (x \ T(x * (y / x),z)) * x = T(y,z). (x \ T(x * y,z)) * x = T(y * x,z). (x \ T(y,z)) * x = T((x \ y) * x,z). x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. T((x \ y) * x,y) = (x \ y) * x. T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). ((x \ (y \ L(y,z,u))) * x) * y = y * ((x \ (y \ L(y,z,u))) * x). (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. x * (y * T(y \ (x \ z),x)) = y * ((x \ (y \ z)) * x). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = y * (x \ T(x * (y \ z),y)). T(x * y,z) / y = y \ T(y * x,z). R((x * y) / x,x,T(y,x)) = x \ T(x * y,y). L(x \ T(x * y,y),x,y) = (x * y) / x. (x * y) \ ((y * x) * x) = (y * x) / y. (x * y) / x = K(x,y) * y. x \ ((y * x) / y) = K(y,x). K(x,x \ y) * (x \ y) = y / x. (x * y) / x = y * K(x,y). (x * K(y,x)) * y = y * x. ((x * y) / x) * (y \ z) = K(x,y) * z. K(x * y,R(z,x,y)) * ((z * x) * y) = (x * y) * R(z,x,y). K(x \ y,x) * y = (x \ y) * x. K(x,y / x) * y = x * (y / x). K(x,y) * (y * x) = x * y. T(K(x,y) * y,x) = y. T(x * K(y,x),y) = x. (x * K(y,x)) \ (y * x) = y. (x \ y) * K(x,x \ y) = y / x. T(x,y) * K(y,T(x,y)) = x. R(x * K(y,x),y,y) = (y * x) * (y \ 1). (x * y) / (y * x) = K(x,y). K(x,y) \ (x * y) = y * x. R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). a(x * K(y,x),y,z) \ ((y * x) * z) = (x * K(y,x)) * (y * z). T(T(x * K(y,x),z),y) = T(x,z). T(R(x * K(y,x),z,u),y) = R(x,z,u). L(x * K(y,x),z,u) * y = y * L(x,z,u). R(x * K(y,x),z,u) * y = y * R(x,z,u). (x * y) * K(x \ 1,x * y) = L(y / (x \ 1),x \ 1,x). (x \ y) \ (y / x) = K(x,x \ y). x \ (y / (y / x)) = K(y / x,x). T(x * K(y,x),y) != z | z = x. T(x,y) * K(y,T(x,y)) != z | x = z. L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). L(T(x * K(y * z,x),z),z,y) = (y * (x * z)) / (y * z). T(x * K(y,x),x * y) = L(x,y,x). (x * y) / ((z * y) / z) = x / K(z,y). T(x * K(y,x),y * x) = L(x,y,x). ((x \ 1) * y) / (x \ 1) = y * K(1 / x,y). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. T(x * K(x * y,x),y) = R(x,y,x). L(x * K(y,x),x,y) = (y / (x \ 1)) / y. L((x * y) / x,z,u) = L(y * K(x,y),z,u). K(x,x \ y) * ((x \ y) * x) = y. (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. (x / y) \ (K(y,y \ x) * z) = (y \ x) \ z. K(x,x \ y) * ((x \ y) / z) = (y / x) / z. K(x,x \ y) * (((x \ y) * z) * u) = ((y / x) * z) * u. K(x,x \ y) * R(x \ y,z,u) = R(y / x,z,u). T(x * y,K(y,x)) = x * y. (x * y) * ((y * x) \ z) = K(x,y) * z. (x * y) * ((y * x) \ 1) = K(x,y). K(x,y) * ((y * x) * z) = (x * y) * z. (x * y) / (z \ (y * x)) = K(x,y) * z. ((x \ y) * x) / y = K(x \ y,x). (K(x,y) * z) \ (x * y) = z \ (y * x). K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x,y) * ((y * x) / z) = (x * y) / z. K(x,y) * (((y * x) * z) * u) = ((x * y) * z) * u. K(x,y) * (R(y * x,z,u) * w) = R(x * y,z,u) * w. a(x * y,z,u) = a(y * x,z,u). L(x,y,(z * u) * w) = L(x,y,w * (u * z)). K(x,y) * (R(y,z,u) * x) = x * R(y,z,u). K(x,y \ 1) * (((y \ z) / z) * x) = x * ((y \ z) / z). x * ((y * (x \ 1)) / y) = K(y,x \ 1). T(x,(y \ x) * y) = x. T(x * y,y * x) = x * y. (K(x,x \ y) * z) \ y = z \ ((x \ y) * x). x \ (K(y,y \ x) * z) = ((y \ x) * y) \ z. a((x \ y) * x,z,u) = a(y,z,u). L(x,y,z * ((u \ w) * u)) = L(x,y,z * w). a((x / y) * z,u,w) = a((y \ x) * z,u,w). L(((x \ y) / z) \ u,(x \ y) / z,K(x,x \ y)) = ((y / x) / z) \ (K(x,x \ y) * u). L(x,y,(z / u) / w) = L(x,y,(u \ z) / w). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. K(x,x \ y) * (((y / x) \ z) * u) = ((x \ y) \ z) * u. (x \ y) \ y = K(x,x \ y) * x. ((x \ y) \ z) \ (K(x,x \ y) * u) = ((y / x) \ z) \ u. L(x,y,(z / u) \ w) = L(x,y,(u \ z) \ w). a((x / y) \ z,u,w) = a((y \ x) \ z,u,w). L(x,y,z * ((u / w) \ v5)) = L(x,y,z * ((w \ u) \ v5)). K(x,x \ y) * (x * z) = ((x \ y) \ y) * z. a(((x \ y) \ y) * z,u,w) = a(x * z,u,w). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). a(((x / y) \ z) * u,w,v5) = a(((y \ x) \ z) * u,w,v5). L(x,y,(((z / u) * w) * v5) * v6) = L(x,y,(((u \ z) * w) * v5) * v6). (x / y) \ (((x / y) * z) * u) = (y \ x) \ (((y \ x) * z) * u). K(x \ y,x) * (y * z) = ((x \ y) * x) * z. K(x \ y,x) * (y / z) = ((x \ y) * x) / z. L(x,y,z * ((u \ w) * u)) = L(x,y,w * z). R(x \ y,z,u) \ ((x \ y) * x) = R(y / x,z,u) \ y. (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). K(x \ y,x) * (y / x) = x \ y. K(x \ y,x) * ((y / z) * u) = (((x \ y) * x) / z) * u. (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. K(x \ y,x) * ((y / x) * z) = (x \ y) * z. (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. (x \ y) \ K(x \ y,x) = (y / x) \ 1. ((x \ y) * z) \ (K(x \ y,x) * u) = ((y / x) * z) \ u. x \ ((y \ z) \ (K(y \ z,y) * u)) = x \ ((z / y) \ u). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. K(x \ y,x) * ((x \ y) \ y) = x. (x / y) * K(y \ x,y) = y \ x. (x / y) * (K(y \ x,y) * z) = (y \ x) * z. K(x \ y,x) * ((((x \ y) \ z) * u) * w) = (((y / x) \ z) * u) * w. x * (((x \ y) \ y) \ z) = K(x \ y,x) * z. T(x \ y,x) = ((x \ y) \ y) \ y. K(x \ y,x) \ (x * z) = ((x \ y) \ y) * z. T((x / y) \ x,x / y) = (y \ x) \ x. T((x \ y) \ y,x \ y) = T(x \ y,x) \ y. ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). T(x,y / x) = (x \ y) \ y. T(x,(x * y) / x) = T(x,y). (x \ (y * x)) \ (y * x) = T(x,y). (x / y) * L((y \ x) \ x,z,u) = L(y,z,u) * (x / y). L((x \ y) \ y,z,u) * (w / ((x \ y) \ w)) = (x \ y) * L(T(x \ y,x) \ y,z,u). R(x * K(y * (z \ 1),x),y * (z \ 1),y * z) = ((y * (z \ 1)) * x) * ((y * (z \ 1)) \ 1). L(x,y,(y * x) \ ((y * z) * x)) = (R(z * K(y,z),y,x) * y) \ ((y * z) * x). T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). a(L(x * K(x * y,x),z,u),w,v5) = a(L(R(x,y,x),z,u),w,v5). L((1 / x) * K(y * (x \ 1),1 / x),x \ 1,y) = (y * (x \ (x \ 1))) / (y * (x \ 1)). K(x * y,z) * ((z * x) * y) = (x * y) * R(z,x,y). K(x,y) \ ((x * y) * z) = (y * x) * z. (x * y) * T(z,y * x) = K(x,y) * (z * (y * x)). K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y). ((x * y) * z) \ (K(x,y) * u) = ((y * x) * z) \ u. a((x * y) * z,u,w) = a((y * x) * z,u,w). a((x \ (y * z)) \ (z * y),u,w) = a(K(z,y) * x,u,w). K(x,y) * (K(y,x) * z) = z. K(x,y) * K(y,x) = 1. K(x,y) \ z = K(y,x) * z. K(x,y) * ((K(y,x) * z) * u) = z * u. K(x,y) * (z * K(y,x)) = T(z,K(y,x)). K(x,y) \ 1 = K(y,x). K(x,y) * (a(z,u,w) \ K(y,x)) = a(z,u,w) \ 1. K(x,y) * (x * K(y,x)) = x. K(x,y) * R(K(y,x) * z,u,w) = R(z,u,w). K(x,y) * (K(y,x) / z) = 1 / z. K(x,y) * ((y * x) / y) = x. K(x,y) * ((K(y,x) / z) * L(z,u,w)) = z \ L(z,u,w). x \ (K(y,z) \ x) = T(K(z,y),x). (K(x,y) \ z) / z = K(y,x). 1 / K(x,y) = K(y,x). (K(x,y) * z) \ u = z \ (K(y,x) * u). K(x,y) * z != u | K(y,x) * u = z. (K(x,y) * z) \ 1 = z \ K(y,x). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). K(x,y) \ z != u | K(y,x) * z = u. K(x,y) \ 1 != z | K(y,x) = z. x * (K(y,z) * K(z,y)) = x. 1 / (x \ K(y,z)) = K(z,y) * x. K(x,y) != z \ 1 | K(y,x) = z. K(x,y) != 1 / z | K(y,x) = z. K(x,y) \ x = x * K(y,x). T(x,K(y,z) \ 1) = T(x,K(z,y)). ((K(x,y) * z) * L(z \ K(y,x),u,w)) \ (1 * L(z \ K(y,x),u,w)) = z \ K(y,x). ((x * y) / x) \ 1 = y \ K(y,x). x / ((y * x) / y) = K(x,y). K(x,y) * (z * (K(y,x) * u)) = u * T(z,K(y,x) * u). (K(x,y) * z) \ z = T(K(y,x),z). K(x,y) * (((y * x) / y) * z) = x * z. K(x,y) != z | K(y,x) \ 1 = z. (a(x,y,z) \ 1) \ (K(u,w) * v5) = (a(x,y,z) \ K(w,u)) \ v5. a(L(x,y,z) * (z * y),u,w) = a(z * (y * x),u,w). (x * y) \ (K(x,y) * (y * (x * z))) = L(z,x,y). (x * y) \ (L(z / K(x,y),u,w) * K(x,y)) = (y * x) \ L(K(x,y) \ z,u,w). L((x * y) \ z,y * x,(y * x) \ 1) = (1 / (y * x)) * (K(y,x) * z). L(x,y,(z * u) / w) = L(x,y,(u * z) / w). (x * y) \ ((x * y) / z) = (y * x) \ ((y * x) / z). T(x,T(y,x)) = T(x,y). R(T(x,x * y),y,x) = T(x,T(y,x)). T(x,y) / y = x / T(y,x). (x * y) / T(y,x) = T(x,y). T(x,y) * T(y,x) = x * y. T(x,y) \ y = x \ T(y,x). ((x \ y) \ y) * K(x \ y,x) = x. (x \ y) \ y = x / K(x \ y,x). x * (((y * x) / y) \ z) = K(x,y) * z. K(x,y) / x = 1 / ((y * x) / y). (T(x,y) * T(y,x)) / y = x. T(x,y) * (y * x) = x * (x * y). a(T(x,y),T(y,x),z) \ ((x * y) * z) = T(x,y) * (T(y,x) * z). T(x,x \ (x \ y)) \ y = (x \ (x \ y)) * x. (x * (x * y)) \ (T(x,y) * ((y * x) * z)) = L(z,y * x,T(x,y)). (((x \ y) * x) * (x \ 1)) \ ((((x \ y) * x) * (x \ 1)) / z) = T((x \ 1) * y,x) \ (((x \ 1) * ((x \ y) * x)) / z). x \ ((y \ 1) \ (((y \ 1) * y) * z)) = x \ ((1 / y) \ z). (x \ L(y,z,u)) \ (((x \ L(y,z,u)) * x) * (y * w)) = (L(y,z,u) / x) \ (y * (L(y,z,u) * w)). (K(x,y) * (z * L(z \ K(y,x),u,w))) \ (1 * L(z \ K(y,x),u,w)) = z \ K(y,x). (x * y) / (((z * x) / z) * y) = K(x,z). ((x * y) / x) \ y = K(y,x). ((x / y) / x) / (1 / y) = ((x / y) / x) * y. T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). L(x,y,(z \ u) / w) = L(x,y,w \ (u / z)). L(x,y,z / (u / w)) = L(x,y,(w \ u) \ z). L(x,y,(z * u) / w) = L(x,y,w \ (u * z)). L(x,y,(z * u) / (z * z)) = L(x,y,u * (z \ 1)). R(x,y,z) * (x \ u) = (u / x) * R(x,y,z). (x * y) \ (R(x,z,u) * y) = (y * x) \ (y * R(x,z,u)). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z,x,y). x \ (R(y,z,u) * (y \ w)) = x \ ((w / y) * R(y,z,u)). x * ((y / x) * R(x,z,u)) = R(x,z,u) * y. (x * (R(x,y,z) \ u)) / x = u / R(x,y,z). L(x \ R(x,y,z),x,u) = (x * u) \ (R(x,y,z) * u). a(x,y,z) * ((y * z) * x) = (y * z) * R(x,y,z). ((x * y) * z) * a(z,x,y) != (x * y) * u | R(z,x,y) = u. (x * (y * z)) * a(L(z,y,x),x,y) = (x * y) * R(L(z,y,x),x,y). K(x,y) * ((y * x) * R(z,y,x)) = ((x * y) * z) * a(z,y,x). L(x \ R(x,y,z),x,y * z) = a(x,y,z). L(L(x \ R(x,y,z),u,w),x,y * z) = L(a(x,y,z),u,w). (x / R(y,z,u)) * y = y * (R(y,z,u) \ x). T(x / R(y,z,u),y) = R(y,z,u) \ x. (x * (R(x,y,z) \ u)) * R(x,y,z) = u * x. T(x * (R(x,y,z) \ u),x) / (x * x) = x \ R(u / R(x,y,z),x,x). (x * (y * z)) * a(L(z,y,x),x,y) = x * (y * R(z,x,y)). ((x * y) * z) * a(z,y,x) = (x * y) * R(z,y,x). ((x * y) * z) \ ((x * y) * R(z,y,x)) = a(z,y,x). L(x \ R(x,y,z),x,z * y) = a(x,y,z). L(x \ R(x,y \ z,y),x,z) = a(x,y \ z,y). L(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z). L((x * y) \ (x * R(y,z,u)),y,z * u) = L(a(y,z,u),y,x). L(L(x \ R(x,y,z),u,w),x,z * y) = L(a(x,y,z),u,w). L(x \ ((x / y) * R(y,z,u)),y,z * u) = L(a(y,z,u),y,y \ x). ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). a(((x \ y) \ y) \ z,u,w) = a(x \ z,u,w). a(T(x,y) \ z,u,w) = a(x \ z,u,w). a(L(T(x,y),z,u) \ w,v5,v6) = a(L(x,z,u) \ w,v5,v6). a(((x \ 1) \ y) * x,z,u) = a(y * (x * x),z,u). a(R(x * K(y,x),y,z) * u,w,v5) = a(((y * z) \ ((y * x) * z)) * u,w,v5). a((x * x) * (y * z),u,w) = a(y * (z * (x * x)),u,w). a(L(x * y,z,u),w,v5) = a(L(y * x,z,u),w,v5). a(T(x,y) * z,u,w) = a(x * z,u,w). a(x * T(y,z),u,w) = a(y * x,u,w). a(x * ((y \ z) \ z),u,w) = a(y * x,u,w). a((x * x) * (x \ y),z,u) = a((x \ 1) \ y,z,u). a(x * K(y,z),u,w) = a(x,u,w). a((x * y) * z,u,w) = a(z * (y * x),u,w). a(((x / y) \ z) * (y \ x),u,w) = a(z,u,w). L((1 / x) * K(y * (x \ 1),x \ 1),x \ 1,y) = (y * (x \ (x \ 1))) / (y * (x \ 1)). (R(x,y,z) \ u) * R(x,y,z) = (x \ u) * x. x * L(x \ K(y,x),x,y) = x \ ((y / (x \ 1)) / y). L(K(x,y) * y,y,x) = (x / (y \ 1)) / x. (K(x,y) * (z * L(z \ K(y,x),u,w))) * (z \ K(y,x)) = L(z \ K(y,x),u,w). L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)). 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). x * L(y \ R(y,z,u),y,u * z) = a(y,z,u) * x. L(L(x \ R(x,y,z),u,w),x,z * y) \ L(x \ R(x,y,z),u,w) = L((x \ R(x,y,z)) \ a(x,y,z),u,w) \ 1. L(x,y,(z * z) * (u * w)) = L(x,y,w * (u * (z * z))). L(x,y,z \ (u * w)) = L(x,y,z \ (w * u)). L(x,y,(z * u) \ (u * (w * z))) = L(x,y,R(w,z,u)). L(x,y,z * (u / (z * z))) = L(x,y,u * (z \ 1)). (x / y) * L(z,u,u \ (y \ x)) = ((x / y) / u) * (u * z). L(x,y,z \ (u / (w * (v5 * v5)))) = L(x,y,z \ (w \ (u / (v5 * v5)))). L(x,y,z \ ((u \ 1) \ (w * (v5 * (u \ 1))))) = L(x,y,z \ ((w * (v5 * u)) / u)). L(x,y,L(z,z,u)) = L(x,y,u \ ((z \ 1) \ u)). a((x \ (y * z)) \ (z * y),u,w) = a(x,u,w). a(x * T(y,z),u,w) = a(x * y,u,w). a(x * (y / z),u,w) = a(x * (z \ y),u,w). (x * y) / x = y / K(y,x). K(x,y) * x = x * K(x,y). x * K(T(x,y),y) = T(x,y). T(x,K(x,y)) = x. T(K(x,y),x) = K(x,y). K(x,y) \ y = y * K(y,x). (x \ y) \ y = x * K(x,x \ y). T(x,K(T(x,y),z)) = x. T(x / (x / y),K(y,z)) = x / (x / y). K(x,y) * (z / (z / x)) = (z / (z / x)) * K(x,y). a((x * x) * (y * z),u,w) = a(z * (y * (x * x)),u,w). a(((x \ 1) * (y / x)) * z,u,w) = a(z * (y / (x * x)),u,w). a((x * x) \ (y * z),u,w) = a(y * ((x * x) \ z),u,w). a((x * y) * (x \ 1),z,u) = a(L(y,x,x \ 1),z,u). R(x,y,z) * (u * x) = x * (u * R(x,y,z)). (x \ K(y,z)) \ L(x \ K(y,z),u,w) = K(z,y) * (x * L(x \ K(y,z),u,w)). R(x,y,z) * T(u,x) = u * R(x,y,z). T(x,R(y,z,u)) = T(x,y). T(x * (R(x,y,z) \ u),x) = R(x,y,z) \ (u * x). T(x,R(1 / y,z,u)) = T(x,y \ 1). T(x,(y * z) / u) = T(x,y / (u / z)). T(x,y * (z \ 1)) = T(x,y / z). T(x,y / (1 / z)) = T(x,y * z). T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). T(x,y \ (z * (u \ y))) = T(x,T(z / u,y)). T(x,T(1 / y,z)) = T(x,z \ (y \ z)). T(x,T(y,y \ z)) = T(x,T(y,z)). L((x \ y) \ 1,y,(x \ y) \ 1) * y = y * T((x \ y) \ 1,x). T(x,T(y / z,y)) = T(x,z \ y). T(x,(y * z) / (y / (z \ 1))) = x. T((L(x,y,z) / u) * T(L(u,x,x \ L(x,y,z)),(x \ L(x,y,z)) / (u / (x * u))),(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T(x,y / (z \ 1)) = T(x,y * z). T(x,y / R(z / u,u,z \ 1)) = T(x,y * (u * (z \ 1))). L(x,y \ 1,z) * (z * (y \ 1)) = z * ((y \ 1) * T(x,z / y)). 1 / T(x \ (1 / y),x * y) = (x \ (1 / y)) \ 1. (x * (y \ (z * (u \ y)))) / T(x,T(z / u,y)) = y \ (z * (u \ y)). T(x,R(y,z,u) * (y \ (w \ y))) = T(x,T(R(y,z,u) / w,y)). T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). (x * (y \ (L(z,u,w) * (z \ y)))) / T(x,T(z \ L(z,u,w),y)) = y \ (L(z,u,w) * (z \ y)). T(x,T(y * (z \ 1),y)) = T(x,z \ y). T(x,x / y) = T(x,y \ x). T(x,T(R(y,z,u) / w,y)) = T(x,w \ R(y,z,u)). ((x * (x / y)) / x) * y = T(x,y \ x). T(x,(y \ x) \ x) = T(x,y). T(x,y / (z * y)) = T(x,z \ 1). T(x,(y \ z) / z) = T(x,y \ 1). T(x,(y / z) \ 1) = T(x,z / y). x / T(y * x,y \ 1) = (y * x) \ x. x \ T(y,x \ 1) = y * ((x \ y) / y). (x \ (y \ x)) * T(x,y \ 1) = y \ x. K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). T(((1 / (x / y)) * z) * (x / y),y / x) = R(z,(x / y) \ 1,x / y). x \ (y \ T(x,y \ 1)) = (y \ x) / x. x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). T(x,R(y,z,u) * (y \ (w \ y))) = T(x,w \ R(y,z,u)). (R(x,y,z) \ (u * x)) / (x * x) = x \ R(u / R(x,y,z),x,x). ((x * (y \ 1)) \ z) * R(x / y,y,y) = ((x / y) \ z) * (x / y). (x \ (x \ R(x,y,z))) * x = (x \ 1) * R(x,y,z). L(R(x,y,z) \ u,R(x,y,z),R(x,y,z) \ 1) * R(x,y,z) = R(x,y,z) * ((1 / R(x,y,z)) * ((x \ u) * x)). L(x,y,(z * u) \ ((u * w) * z)) = L(x,y,L(w,u,z)). L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,L(T(w,u),u,z)). L(x,y,z * ((z * z) \ u)) = L(x,y,u * (z \ 1)). L(x,y,z \ ((u * (w * w)) \ v5)) = L(x,y,z \ (u \ (v5 / (w * w)))). L(x,y,z \ ((u \ 1) \ (w * (v5 * (u \ 1))))) = L(x,y,z \ (u \ (w * (v5 * u)))). a(x \ (y * z),u,w) = a(x \ (z * y),u,w). a((x * y) \ (y * (z * x)),u,w) = a(R(z,x,y),u,w). a(x \ (L(y,z,u) * (u * z)),w,v5) = a(x \ (u * (z * y)),w,v5). a(x \ (L(y,z \ u,z) * u),w,v5) = a(x \ (z * ((z \ u) * y)),w,v5). a(R(x,y,y \ 1),z,u) = a(L(x,y,y \ 1),z,u). R(x,y,z) \ ((u * x) / (x * x)) = x \ R(u / R(x,y,z),x,x). ((x * (y \ 1)) \ z) * (x * (y \ 1)) = ((x / y) \ z) * (x / y). L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,L(w,u,z)). L(x,y,z \ L(u,z,z)) = L(x,y,u * (z \ 1)). a(L(x,y,y \ 1),z,u) = a(R(x,y,y),z,u). L(x,y,(z \ 1) * (u * z)) = L(x,y,L(u,z,z)). L(x,y,L(z,u,z)) = L(x,y,z). R(L(x,y,x),y,L(x,y,x)) = x. ((x * (y * x)) / x) * L(z,y,x) = L(x,y,x) * (y * z). x \ R(y / R(x,z,u),x,x) = R(x,z,u) \ (y * (x \ 1)). T(x * y,T(y,x)) = T(x * y,y). T(x,y) * L(T(y * x,x),z,u) = L(y * x,z,u) * T(x,y). T(x,y) * R(T(y * x,x),z,u) = R(y * x,z,u) * T(x,y). L(x,y,(z * u) * (z \ 1)) = L(x,y,L(u,z,z)). L(x \ R(x,y * z,z \ 1),x,L(y,z,z)) = a(x,y * z,z \ 1). L(x,y,L(z \ u,z,z)) = L(x,y,u * (z \ 1)). L(x \ R(x,y * z,z),x,L(y,z,z)) = a(x,y * z,z \ 1). L(x \ R(x,y * z,z),x,L(y,z,z)) = a(x,y * z,z). (((x \ y) * x) * (x \ 1)) \ ((((x \ y) * x) * (x \ 1)) / z) = T((x \ 1) * y,x) \ (T((x \ 1) * y,x) / z). L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = L((x \ R(x,y,z)) \ a(x,y,z),u,w) \ 1. K(x,y) * x = T(x,y). T(x,y) / x = K(x,y). ((x * y) / x) * z = y * (K(x,y) * z). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). K(x,y) \ y = T(y,x). (K(x * y,z) * x) * y = T(x * y,z). x * K(x,y) = T(x,y). x \ T(x,y) = K(x,y). K(x,y) * T(y,x) = y. x / T(x,y) = K(y,x). T(x,y) * (x \ z) = K(x,y) * z. K(x,y) * (x * z) = T(x,y) * z. T(x,y) / (z \ x) = K(x,y) * z. T(x * y,z) / y = K(x * y,z) * x. (K(x,y) * z) \ T(x,y) = z \ x. T(x,y) != z * x | K(x,y) = z. T(x,y) \ (K(x,y) * z) = x \ z. T(x,y) / x != z | K(x,y) = z. K(x,y) * (x / z) = T(x,y) / z. K(x,y) * ((x * z) * u) = (T(x,y) * z) * u. K(x,y) * R(x,z,u) = R(T(x,y),z,u). K(x,y) * (R(x,z,u) * w) = R(T(x,y),z,u) * w. ((x \ y) * x) \ x = y \ T(x,x \ y). T(x,y) \ 1 = x \ K(y,x). K(x,y) * (T(y,x) * z) = y * z. (K(x,y) * z) \ y = z \ T(y,x). (x * y) \ T(x,y) = (y * x) \ x. T(x,R(y,z,u)) = x * K(x,y). x \ (y * x) = y * K(y,x). (x / y) * K(x / y,y) = y \ x. x * (y * K(y,x)) = y * x. K(T(x,y),y) = K(x,y). x * T(x \ 1,y) = K(x \ 1,y). T(x,y) != x * z | K(x,y) = z. L(x \ K(y,z),x,y) = (y * x) \ T(y,z). x \ T(x,y) != z | K(x,y) = z. x * (y * K(x,y)) = T(x,y) * y. K(x,y) / T(x,y) = 1 / x. x * K(x,y) != z | T(x,y) = z. K(x / y,y) = K(y \ x,y). K(x,y / x) * (x \ y) = y / x. T(x,y) * (x \ y) = y * K(x,y). T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). (x * T(x \ y,z)) / y = K((x / y) \ 1,z). (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). K((x / y) \ 1,z) * y = x * T(x \ y,z). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). T(x,K(x \ 1,y)) = x. L(T(x \ 1,y),x,x \ z) = z \ ((z / x) * K(x \ 1,y)). x \ ((y / (x \ 1)) / y) = x * ((y * x) \ T(y,x)). K(x,L(y,z,u)) * (L(T(y,x),z,u) * w) = L(y,z,u) * w. (L(x,y,z) * u) \ L(T(x,u),y,z) = (u * L(x,y,z)) \ L(x,y,z). T(1 / x,K(x,y)) = 1 / x. T(x,y) * (x \ z) = K(y,x) \ z. T(x,y) * (x \ (z * u)) = (K(x,y) * z) * u. (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. K(x,y) * (T(x,y) \ z) = x \ z. (x * y) \ (T(x,z) * y) = T(K(x,z),x * y). (T(x,y) * z) / (x * z) = K(x,y). K(x,y) \ (x \ z) = T(x,y) \ z. K(x,y) \ (T(x,y) * z) = x * z. T(x,y) * T(z,x) = K(x,y) * (z * x). T(x,y) * R(T(z,x),u,w) = K(x,y) * (R(z,u,w) * x). x * (K(x,y) * z) = T(x,y) * z. T(x,y) * (K(x,y) \ z) = x * z. T(x,y) \ (x * z) = K(x,y) \ z. T(x,y) * (z \ (z * u)) = x * (K(x,y) * u). x \ (T(x,y) * z) = K(x,y) * z. x \ (K(x,y) * z) = K(x,y) * (x \ z). T(x,y) * K(y,x) = x. T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). K(x / y,z) * x = y * T(y \ x,z). x / K(y,x) = T(x,y). x / (K(x,y) \ 1) = T(x,y). T(x,y) \ x = K(y,x). x * R(K(x,y) * z,u,w) = T(x,y) * R(z,u,w). x * (L(y,z,u) * K(x,y)) = T(x,y) * L(y,z,u). T(x,y) * y = x * ((x * y) / x). T(x,x \ y) * ((x \ y) * z) = x * ((y / x) * z). T(x \ y,x) * (y / x) = (x \ y) * (x \ y). T(x,y) * ((y * x) * z) = x * ((x * y) * z). T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (y \ z) = T(y,x) \ z. K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. (x \ y) \ (K(x,z) * u) = (T(x,z) \ y) \ u. (x \ T(x,y)) \ (x \ z) = T(x,y) \ z. K(L(x,y,z),u) * (L(T(x,u),y,z) \ w) = L(x,y,z) \ w. K(R(x,y,z),u) * (R(T(x,u),y,z) \ w) = R(x,y,z) \ w. K(x,y) * (((T(x,y) \ z) * u) * w) = ((x \ z) * u) * w. K(x,T(y,x)) = K(x,y). ((x * T(y,z)) * K(z,y)) / y = R(x,T(y,z),K(z,y)). (x \ y) * K(x,y / x) = y / x. K(x,y) != z \ y | T(y,x) = z. x / K(y,x) != z | T(x,y) = z. T(x,y) \ x != z | K(y,x) = z. K(x / y,(x / y) \ z) \ y = (((x / y) \ z) \ z) \ x. R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). (K(x,y) / y) \ 1 = T(y,x). (x \ 1) * K(y,x) = T(x,y) \ 1. T(x,y) * (K(y,x) * R(x \ z,x,x)) = (z * (x \ 1)) * x. T(x,y) \ (x * z) = K(y,x) * z. T(x,y) \ T(x,z) = K(y,x) * K(x,z). K(x,y / z) * (z * T(z \ y,x)) = y. T(x,y) * z != x * u | K(y,x) * u = z. K(x,y / x) = K(x,x \ y). x * (T(x,y) \ z) = K(y,x) * z. K(x,y) \ (y * z) = T(y,x) * z. T(x,y) \ (T(y,x) \ z) = x \ (y \ z). x \ ((y \ z) \ (T(y,y \ z) \ u)) = x \ ((z / y) \ (y \ u)). R(T(x,y),z,u) * K(y,x) = R(x,z,u). K(x,y) * (x * z) = x * (K(x,y) * z). T(x,y) \ (x * (y * z)) = T(y,x) * z. T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x). T(x,y) * (T(y,x) * z) = x * (y * z). K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. (T(x,y) * z) \ (K(x,y) * u) = (x * z) \ u. K(x,y) * ((x * z) / u) = (T(x,y) * z) / u. (x * y) \ (K(z,x) * u) = (T(x,z) * y) \ u. T(x,y) / ((1 / z) \ x) = K(x,y) / z. K(x * y,z) * (y * K(x,y)) = T(x * y,z) / x. K(x,y) \ y = 1 \ T(y,x). (T(x,y) * z) \ T(x,y) = (x * z) \ x. K(x,y) * ((x / z) * u) = (T(x,y) / z) * u. T(x,y) \ (T(x,y) / z) = x \ (x / z). (T(x,y) * z) * T(u,x * z) = K(x,y) * (u * (x * z)). T(x,y) * ((x * z) * u) = x * ((T(x,y) * z) * u). ((T(x,y) * z) * u) \ (K(x,y) * w) = ((x * z) * u) \ w. L(x,y,L(T(z,u),w,v5) \ v6) = L(x,y,L(z,w,v5) \ v6). L(T(x,y),K(y,x),z) = (z * K(y,x)) \ (z * x). K(x,T(y,z)) * T(T(y,x),z) = T(y,z). x / T(x,y) != z | K(y,x) = z. x * (T(y,z) \ 1) = x * (y \ K(z,y)). x / T(x * x,y) = x \ K(y,x * x). T(x,y) \ (y * x) = T(T(y,x),x). (x * y) \ (x * (K(z,y) * u)) = L(T(y,z) \ u,y,x). K(x,y) * (z * T(y,x)) = y * T(z,T(y,x)). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). K(x,y) * (y * z) = y * (K(x,y) * z). x / R(y,y \ x,y) = K(y,x) * (y \ x). (x * (y / x)) \ (y / x) = y \ T(y / x,x). K(x,y \ 1) * (x \ (y \ x)) = (y \ x) / x. (x * y) * K(x,y) = T(x,y) * y. K(T(x,R(y,z,u)),y) = K(x,y). T(K(x \ 1,y),x) = K(x \ 1,y). K(x,x \ (y * x)) = K(x,y). K(x,T(y,R(x,z,u))) = K(x,y). K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. x * K(x / y,y) = (y \ x) * y. x / (x / y) = y * K(y \ x,y). (x * (y / x)) * K(x \ y,x) = y. K(x,y) * (x \ (y \ z)) = x \ (T(y,x) \ z). K(x,x \ y) * y = x * (y / x). K(x,x \ y) * (x \ (x \ y)) = x \ (y / x). K(x,y) * (x \ (x / z)) = x \ (T(x,y) / z). ((K(x,y) * (z * x)) * (T(x,y) \ 1)) \ ((1 / (1 / T(x,y))) * T(z,x)) = L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)). K(x,y) * (R(y * x,z,u) * x) = R(y * x,z,u) * T(x,y). (x * y) \ (x * (K(x,y) * z)) = (y * x) \ (x * z). K(x,y) * (L(y * x,z,u) * x) = L(y * x,z,u) * T(x,y). (T(x,y) * z) \ ((T(x,y) * u) * w) = (x * z) \ ((x * u) * w). (x * y) \ ((T(x,y) * z) / u) = (y * x) \ ((x * z) / u). a(x,y,z) \ ((x * y) * z) = T(x,y) * (T(y,x) * z). x * (y * (K(x,y) * z)) = T(x,y) * (y * z). K(x,y) * (x \ ((x / z) * u)) = x \ ((T(x,y) / z) * u). (((x \ y) * x) * (x \ 1)) \ ((((x \ y) * x) * (x \ 1)) / z) = ((x \ 1) * y) \ (((x \ 1) * y) / z). T(x,x \ 1) * R(y,x,x) = R(x * y,x \ 1,x). a(((T(x,y) \ 1) * (x \ K(y,x))) * (z * u),w,v5) = a(u * (z * ((T(x,y) \ 1) * (T(x,y) \ 1))),w,v5). T(x,y) * R(K(y,x) * (x \ z),x,x) = (z * (x \ 1)) * x. K(x,L(y,z,u)) * ((L(T(y,x),z,u) * w) * v5) = (L(y,z,u) * w) * v5. K(x,y) * (a(z,u,w) * y) = y * (K(x,y) * a(z,u,w)). (x * K(y,x)) * z = x * (K(y,x) * z). x * (K(y,x) * (y * z)) = (y * x) * L(z,y,x). (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y). (K(x,y) * (z * y)) \ (K(x,y) * (y * z)) = K(y,K(x,y) * z). a(T(x,y),T(y,x),z) = a(x,y,z). T(x,y) \ (x * (y * z)) = T(y,T(x,y)) * z. T(x,y) * R(T(x,y) \ z,u,w) = x * R(x \ z,u,w). T(x,y) \ R(T(x,y),z,u) = x \ R(x,z,u). (x / y) \ R(T(y,y \ x),z,u) = (y \ x) \ R(y,z,u). (x * y) \ R(T(x,y),z,u) = (y * x) \ R(x,z,u). R(T(x,y),z,u) \ T(x,y) = R(x,z,u) \ x. a(x,T(y,x),z) = a(x,y,z). K(x,y) * (((x * y) / x) \ z) = y \ z. ((x * y) / x) * (x * z) = y * (T(x,y) * z). ((x * y) / x) * T(y,x) = y * y. x * K(y,y \ x) = y * (x / y). (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). x / (x / y) = K(y \ x,y) * y. (x * K(x \ y,x)) \ y = y / x. K(x,x \ y) * (y / (y / x)) = x. (x * (y / x)) / y = K(x,x \ y). K(x,x \ y) * (y / z) = (x * (y / x)) / z. (x / y) \ (y \ (x / y)) = (y \ x) \ (y \ (y \ x)). (K(x,y) * (z * u)) \ T(K(x,y) * z,u) = (u * (K(x,y) * z)) \ (K(x,y) * z). (x * (y / x)) \ (y / x) = y \ (x \ y). (x * (x * y)) \ (x * ((x * y) * z)) = L(z,y * x,T(x,y)). L(T(x,y) \ z,x,y) = (x * y) \ (y * z). (x * y) \ ((y * (T(x,y) * z)) / u) = (y * x) \ ((y * (x * z)) / u). (x * y) \ (K(z,u) * T(K(u,z) * x,y)) = (y * (K(u,z) * x)) \ (K(u,z) * x). ((x \ y) * x) \ (y / z) = y \ ((x * (y / x)) / z). (x * y) * L(z,x,y) = y * (T(x,y) * z). (x * y) \ (y * (T(x,y) * z)) = L(z,x,y). L(x,y * z,T(z,y)) = L(x,z * y,z). T(x,y) * R(T(x,y) \ z,x,x) = (z * (x \ 1)) * x. (x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),x,y). (x * y) * L(L(z,x,y),u,w) = y * (T(x,y) * L(z,u,w)). x * (y * L(y \ (x \ z),x,y)) = y * (T(x,y) * ((x * y) \ z)). x * (T(y,x) * T(z,y * x)) = L(z,y,x) * (y * x). x * (T(y,x) * L(z,x,y)) = y * (x * L(z,y,x)). L(x,T(y,z),z) = L(x,y,z). ((x * y) / z) * L(z,x,y) = (y * (T(x,y) * z)) / z. (x * (y * z)) \ (x * (z * (T(y,z) * u))) = L(L(u,y,z),y * z,x). (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). K(x,y) * (1 / x) = (1 / x) * K(x,y). T(x,y * K(y,z)) = T(x,T(y,z)). L(x,y * z,z) = L(x,z * y,z). x * (y * R(y \ (x \ (y * z)),u,w)) = y * (x * R(x \ z,u,w)). (x * R(x \ y,z,u)) * T(w,y) = x * (w * R(w \ (x \ (w * y)),z,u)). K(R(x,y,z),u) = K(x,u). (x \ 1) \ R(x,y,z) = x * R(x,y,z). (R(x,y,z) * u) \ R(T(x,(u / x) * R(x,y,z)),w,v5) = (((u / x) * R(x,y,z)) * x) \ R(x,w,v5). T(x,y) * K(x * y,x) = R(x,y,x). x * K(R(x,y,z),u) = T(x,u). K(R(x,y,z),u) * x = T(x,u). K((x / y) / z,u) = K(x / (z * y),u). K((x * y) / z,u) = K(x / (z / y),u). K(1 / (x / y),z) = K(y / x,z). K(x * (y \ 1),z) = K(x / y,z). K(x / (1 / y),z) = K(x * y,z). K(L(x,y,x),z) = K(x,z). K((x \ y) \ y,z) = K(T(x,y),z). K(x,y) * K(x * y,x) = x \ R(x,y,x). K((x / y) \ 1,z) = K(y / x,z). L((1 / x) * K(y / x,x \ 1),x \ 1,y) = (y * (x \ (x \ 1))) / (y * (x \ 1)). R(x * K(y / z,x),y * (z \ 1),y * z) = ((y * (z \ 1)) * x) * ((y * (z \ 1)) \ 1). x * K(x * (y \ 1),y) = (y \ x) * y. ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). K(x / (y * x),z) = K(y \ 1,z). (x * (L(y,z,u) \ y)) \ ((x * w) * (L(y,z,u) \ y)) = L(K(L(y,z,u) \ y,x) * w,x,L(y,z,u) \ y). ((x * y) \ y) * (x * x) = L(K(y,x) * x,x,y). (x * L(a(y,z,u),w,v5)) \ ((x * v6) * L(a(y,z,u),w,v5)) = L(K(L(a(y,z,u),w,v5),x) * v6,x,L(a(y,z,u),w,v5)). T(K((x * y) / (x * z),u),x * y) = (x * y) \ (x * (z * T(z \ y,u))). K((x * y) / x,z) * (x * y) = x * T(y,z). K((x * (y * z)) / (x * z),u) * (x * (y * z)) = (x * z) * T(L(T(y,z),z,x),u). K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. K(x / ((x * y) / (z * y)),u) * (x * (z * y)) = (x * y) * T(L(T(z,y),y,x),u). L(x,y,z \ T(u,w)) = L(x,y,z \ u). a(x \ T(y,z),u,w) = a(x \ y,u,w). K(x / ((x * y) / (z * y)),u) * (x * (z * y)) = x * (y * T(T(z,y),u)). K(x / ((x * y) / (z * y)),u) * (x * (z * y)) = x * (T(z,u) * y). x * (T(y,x) * L(L(R(x,y,x),z,u),w,v5)) = (y * x) * L(L(x,z,u),w,v5). (T(x,a(y,z,u)) * T(w,x * a(y,z,u))) * a(y,z,u) = L(w,x,a(y,z,u)) * (x * a(y,z,u)). a(x,y,z) * (u * L(w,a(x,y,z),u)) = u * (a(x,y,z) * L(w,u,a(x,y,z))). L(x,y / z,z) = L(x,z \ y,z). (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). L(x,y,z \ L(T(u,w),v5,v6)) = L(x,y,z \ L(u,v5,v6)). a(x \ L(T(y,z),u,w),v5,v6) = a(x \ L(y,u,w),v5,v6). a(x \ (y / z),u,w) = a(x \ (z \ y),u,w). L(T(x \ 1,x),x,x \ y) = y \ (y / T(x,x \ 1)). (x / (y \ 1)) * K(y,z) = x * T(x \ (x / (y \ 1)),z). a(x,y / x,z) = a(x,x \ y,z). (x \ (x / (y \ 1))) * x = (x / (y \ 1)) * K(y,x). L(T(x \ 1,x),x,x \ y) = L(x \ 1,x \ 1,y). (K(x,x \ 1) * y) / L((1 / x) * y,x,a(x,x \ 1,y)) = a(x,1 / x,y) * x. (x * (L(y,z,u) \ y)) \ ((x * w) * (L(y,z,u) \ y)) = L(1 * w,x,L(y,z,u) \ y). ((x * y) \ y) * (x * x) = (y / (x \ 1)) / y. (x * T(y,x * a(z,u,w))) * a(z,u,w) = L(y,x,a(z,u,w)) * (x * a(z,u,w)). a(L(x,x,y),z,u) = a(y \ ((x \ 1) \ y),z,u). a((x * (y * y)) \ z,u,w) = a(x \ ((y * y) \ z),u,w). (((x / y) / z) * (z * y)) \ x = a(z \ (y \ x),z,y). a(x \ ((y * y) \ (z * u)),w,v5) = a(x \ (z * (u / (y * y))),w,v5). K(x,x \ 1) * (y / L((1 / x) * y,x,a(x,x \ 1,y))) = a(x,1 / x,y) * x. T(x,y * R(y \ z,u,w)) = T(x,z). R(x * y,z,u) * T(y,x) = R(y * x,z,u) * y. (x * (L(y,z,u) \ y)) \ ((x * w) * (L(y,z,u) \ y)) = L(w,x,L(y,z,u) \ y). (((x / y) / (y \ 1)) * K(y \ 1,y)) \ x = a((y \ 1) \ (y \ x),y \ 1,y). (((a(x,y,z) \ u) / w) * (w * a(x,y,z))) \ u = a(w \ (a(x,y,z) \ u),w,a(x,y,z)). K(x,x \ 1) * (y / L((1 / x) * y,x,a(x,x \ 1,y))) = a(x,x \ 1,y) * x. T(x,y * R(z,u,w)) = T(x,y * z). L(x \ 1,x \ 1,x * y) = L(T(x \ 1,x),x,y). L(x,y,L(z \ 1,z \ 1,u)) = L(x,y,L(z \ 1,z,z \ u)). ((x / (y \ 1)) / x) * a((y * x) \ x,y,y) = (((y * x) \ x) * y) * y. R(x,y,(z / (u \ 1)) / z) = R(x,y,(u * z) \ z). R(x,y,z * ((u / (w \ 1)) / u)) = R(x,y,z * ((w * u) \ u)). a(x \ ((y * y) \ (x * ((y * y) * z))),u,w) = a(L(z,y * y,x),u,w). a((x \ 1) \ (x \ y),x \ 1,x) = ((y / x) / (1 / x)) \ y. T(x,y * R(z,u,w)) = x * K(x,y * z). T(x,(y / R(z,u,w)) * z) = T(x,y). T(x,y * (z * (u \ 1))) = T(x,y * (z / u)). T(x,T(y * z,y)) = T(x,z * y). K(x * R(y,z,u),w) = T(w,x * y) \ w. (R(x,y,z) * u) \ R(T(x,(u / x) * x),w,v5) = (((u / x) * R(x,y,z)) * x) \ R(x,w,v5). L(L(x \ 1,x \ 1,x),x,y) = L(x \ 1,x \ 1,x * y). T(x,(y \ 1) * z) = T(x,y \ z). ((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y). L(x,y,z \ 1) * ((z \ 1) * y) = (z \ 1) * (y * T(x,z \ y)). L(x \ 1,y,x \ 1) * y = y * T(x \ 1,x \ y). K((x \ 1) * y,z) = T(z,x \ y) \ z. K((x \ 1) * y,z) = K(x \ y,z). K((1 / x) \ y,z) = K(x * y,z). L(x * ((x \ 1) * (x \ 1)),x,y) = L(x \ 1,x \ 1,x * y). K(x,y * R(z,u,w)) = K(x,y * z). T(x,y / R(z,u,w)) = T(x,y / z). T(x,y * (R(y,z,u) \ w)) = T(x,w). K(x * R(y,z,u),w) = K(x * y,w). (R(x,y,z) * u) \ R(T(x,u),w,v5) = (((u / x) * R(x,y,z)) * x) \ R(x,w,v5). x \ ((y / (x \ 1)) / y) = x * ((x * y) \ y). T(((x * (y \ 1)) * z) * ((x * (y \ 1)) \ 1),x / y) = R(z,x * (y \ 1),x * y). L(x,x,y) * ((x \ 1) * (x \ 1)) = L(x \ 1,x \ 1,x * y). x * (x * ((x * y) \ y)) = (y / (x \ 1)) / y. K(x,y * R(y \ z,u,w)) = K(x,z). K(x,T(y * z,y)) = K(x,z * y). K(x,y * x) = K(x,x * y). T(x,y * (R(y,z,u) \ w)) = x * K(x,w). T(x,R(y,z,u) * w) = T(x,y * w). T(x,(y * z) * u) = T(x,y * (z * u)). T(x,y * ((y \ z) * u)) = T(x,z * u). T(x,y * (T(z,y) * u)) = T(x,(z * y) * u). T(x,R(y,z,u) \ w) = T(x,y \ w). T(x,y * (z * (u \ 1))) = T(x,y / (u / z)). K(x,y / R(z,u,w)) = x \ T(x,y / z). T(x,K(y,z) * (y \ z)) = T(x,z / y). K(x \ R(y,z,u),w) = K((x \ 1) * y,w). K((x / R(y,z,u)) * y,w) = K(x,w). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(T(x * y,x),z) = K(y * x,z). K(x * y,y) = K(y * x,y). K(x / (y \ 1),z) = K(x * y,z). K(x / (1 / y),z) = K(x / (y \ 1),z). K(x * (1 / y),z) = K(x / y,z). K(x * R(1 / y,z,u),w) = K(x / y,w). (R(x,y,z) * u) \ R(T(x,u),w,v5) = (((u / x) * x) * R(x,y,z)) \ R(x,w,v5). (K(x,y) * ((z * x) * (T(x,y) \ 1))) \ ((1 / (1 / T(x,y))) * T(z,x)) = L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)). ((x * y) * (x \ 1)) \ (x * y) = L(x,x,y). ((x \ 1) * ((1 / x) * (((1 / x) * y) \ y))) / (x \ 1) = ((y / ((1 / x) \ 1)) / y) / (1 / x). K(x,y \ R(y * z,u,w)) = K(x,z). K(x,y * (R(y,z,u) \ w)) = K(x,w). T(x,R(y,z,u) \ w) = x * K(x,y \ w). T(x,y \ R(z,u,w)) = T(x,z * (z \ (y \ z))). T(x,((y / z) / u) * w) = T(x,(y / (u * z)) * w). T(x,(y * z) * (z \ u)) = T(x,y * u). T(x,y * (z * (u \ 1))) = T(x,(y * z) / u). T(x,(y / z) * u) = T(x,y * (z \ u)). T(x,(y \ L(y,z,u)) * w) = T(x,L(y,z,u) * (y \ w)). T(x,y * (T(z,y) * u)) = T(x,z * (y * u)). T(x,R(y,z,u) \ y) = x. T(x,y \ ((y * z) * u)) = T(x,z * u). T(x,y \ (z * u)) = T(x,(y \ z) * u). x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. T(x,(y / z) \ u) = T(x,z * (y \ u)). x / (R(y,z,u) \ y) = (R(y,z,u) \ y) \ x. T(x,(y \ z) * (z \ y)) = x. ((x \ y) * (y \ x)) * z = z * ((x \ y) * (y \ x)). T(x,y / (z / u)) = T(x,y * (u / z)). K(x,y / R(z,u,w)) = K(x,y / z). K(x / (y / z),u) = K(x * (z / y),u). K(x \ R(y,z,u),w) = K(x \ y,w). K(x * (R(x,y,z) \ u),w) = K(u,w). (R(x,y,z) * u) \ R(T(x,u),w,v5) = (u * R(x,y,z)) \ R(x,w,v5). (L(x * (x * y),z,u) * (x \ 1)) \ (x * (x * L(y,z,u))) = L(x,x,x * L(y,z,u)). K(x,y \ R(z,u,w)) = K(x,y \ z). K(x,R(y,z,u) * w) = K(x,y * w). K(x,(y * z) * u) = K(x,y * (z * u)). K(x,y * ((y \ z) * u)) = K(x,z * u). K(x,R(y,z,u) \ w) = K(x,y \ w). K(R(x,y,z),R(u,w,v5) \ v6) = K(x,u \ v6). T(x,y \ R(z,u,w)) = T(x,y \ z). T(x,(y / (z * u)) * z) = T(x,y / u). T(x,(y \ 1) \ z) = T(x,y * z). L(x,y \ z,u * y) * ((u * y) * (y \ z)) = (u * y) * ((y \ z) * T(x,u * z)). T(x,(R(y,z,u) \ y) * w) = T(x,y * (R(y,z,u) \ w)). T(x,((y * z) * u) * ((y * (z * u)) \ w)) = T(x,a(y,z,u) * w). T(x,(y * z) / u) = T(x,y * (z / u)). T(x,((y / z) / u) * w) = T(x,y * ((u * z) \ w)). R(T(x / y,x * (y \ z)),z,x / y) = T(x / y,z). T(x,a(y,z,u) * (w * v5)) = T(x,w * (a(y,z,u) * v5)). T(x,(R(y,z,u) \ w) * v5) = T(x,y \ (w * v5)). T(x,(y \ T(z,u)) * K(u,z)) = T(x,y \ z). (x * y) / R(T(x,y),z,u) = R(x,z,u) \ (x * y). x / R((y \ x) \ x,z,u) = R(y,z,u) \ x. T(x,(y \ L(y,z,u)) \ w) = T(x,y * (L(y,z,u) \ w)). (((x \ L(x,y,z)) \ 1) * u) * T(w,x * (L(x,y,z) \ u)) = w * (((x \ L(x,y,z)) \ 1) * u). ((L(x,y,z) \ x) * u) * T(w,x * (L(x,y,z) \ u)) = w * (((x \ L(x,y,z)) \ 1) * u). T(x,y / (z / (u * z))) = T(x,y * u). K((x / y) \ R(x,z,u),w) = K(y,w). K((x * y) \ x,z) = K(y \ 1,z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). (x * ((y * z) \ y)) * K(z \ 1,x) = ((y * z) \ y) * x. K((x \ y) \ 1,z) = K(y \ x,z). K(x \ (x / y),z) = K(y \ 1,z). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K(R(x,y,z) * u,w) = K(x * u,w). K((x * y) * z,u) = K(x * (y * z),u). K(x * ((x \ y) * z),u) = K(y * z,u). K(R(x,y,z) \ u,w) = K(x \ u,w). (L(x * (x * y),z,u) * (x \ 1)) \ L(x * (x * y),z,u) = L(x,x,x * L(y,z,u)). ((x \ 1) * ((1 / x) * (((1 / x) * y) \ y))) / (x \ 1) = ((y / x) / y) / (1 / x). ((L(x,y,z) \ x) * u) * T(w,x * (L(x,y,z) \ u)) = w * ((L(x,y,z) \ x) * u). K(x,(y * z) \ y) = K(x,z \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). K(x,(y * (z * u)) \ (y * z)) = K(x,L(u,z,y) \ 1). 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) \ w) = K(x,(y / z) \ w). K(x,(1 / y) \ z) = K(x,y * z). K(x,(y \ 1) * z) = K(x,y \ z). K(x,y * (L(1 / y,z,u) \ (1 / y))) = K(x,L(1 / y,z,u) \ 1). T(x,y * (z \ R(u,w,v5))) = T(x,(z / y) \ u). T(x,(y * z) \ y) = T(x,z \ 1). T(x,y \ ((z \ 1) \ 1)) = T(x,y \ z). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). T(x * y,y \ 1) = ((x * y) \ x) \ x. T(x,(y \ z) \ 1) = T(x,z \ y). T(x,((y * z) * u) \ (y * (z * u))) = T(x,a(y,z,u) \ 1). T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). T(x,y \ (a(z,u,w) \ y)) = T(x,a(z,u,w) \ 1). T(x * a(y,z,u),a(y,z,u) \ 1) = ((a(y,z,u) * x) \ x) \ x. L(x \ 1,x,y) \ y = T(y * x,x \ 1). T(x * (y \ 1),y) = ((x * (y \ 1)) \ x) \ x. T(x * (1 / y),y) = ((x * (1 / y)) \ x) \ x. (x \ 1) * (L(x \ 1,x,y) \ y) = R(y,x,x). T((x * (y \ 1)) \ x,x * (y \ 1)) = T(x * (y \ 1),y) \ x. L(x,x \ 1,y) \ y = T(y * (1 / x),x). T((x * (y \ 1)) \ x,x / y) = T(x * (y \ 1),y) \ x. T((x * y) * ((x / (y \ 1)) \ 1),x / (y \ 1)) = (x * y) * ((x / (y \ 1)) \ 1). T(x / ((y \ z) \ 1),z \ y) = ((y \ z) \ 1) \ x. T(x,1 / (y \ z)) = T(x,z \ y). T(x,(x * y) \ y) = T(x,x \ 1). x / ((y \ L(y,z,u)) \ 1) = ((y \ L(y,z,u)) \ 1) \ x. T(T(((x \ y) \ 1) * z,u) / ((x \ y) \ 1),y \ x) = T(z * ((x \ y) \ 1),u) / ((x \ y) \ 1). (((x \ L(x,y,z)) \ 1) \ u) * (x \ L(x,y,z)) = u * ((x \ L(x,y,z)) * (x \ L(x,y,z))). ((L(x,y,z) \ x) \ u) * (x \ L(x,y,z)) = u * ((x \ L(x,y,z)) * (x \ L(x,y,z))). (((x * y) \ y) * x) * T(x,x \ 1) = (x * ((x * y) \ y)) * x. T((x * y) * ((x / (y \ 1)) \ 1),x * y) = (x * y) * ((x / (y \ 1)) \ 1). T(x,(y * (z * u)) / u) = T(x,y * z). T(x,(R(y,z,u) \ y) * w) = T(x,w). T(x,(y / z) * (u \ w)) = T(x,y * ((u * z) \ w)). T(x,(R(y,z,u) \ w) * v5) = T(x,(y \ w) * v5). (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z). K((x * y) * (y \ z),u) = K(x * z,u). K((x * y) * R(z,u,w),v5) = K(x * (y * z),v5). K((x / y) * z,u) = K(x * (y \ z),u). K(x \ (y * z),u) = K((x \ y) * z,u). K((x \ y) * (y \ z),u) = K(x \ z,u). K((x / y) \ z,u) = K(y * (x \ z),u). (x * (L(y,z,u) \ y)) * T(w,y * (L(y,z,u) \ x)) = w * ((L(y,z,u) \ y) * x). K(x,(1 / y) * z) = K(x,y \ z). K(x,y \ ((1 / y) \ z)) = K(x,z). K(x,(y \ 1) \ z) = K(x,y * z). K(x,((y \ 1) \ 1) * z) = K(x,y * z). T(x,y * (z \ R(z,u,w))) = T(x,y). T(x \ (y * (z * x)),y * z) = x \ (y * (z * x)). T(x,((y \ z) * (z \ y)) * u) = T(x,u). T(x,y * ((z * u) \ w)) = T(x,y * (u \ (z \ w))). T(x,(y \ R(y,z,u)) * w) = T(x,w). K((x \ 1) \ y,z) = K(x * y,z). K((1 / x) * y,z) = K(x \ y,z). K((L(x,y,z) \ x) * u,w) = K(x * (L(x,y,z) \ u),w). K((1 / (1 / x)) * y,z) = K(x * y,z). K((x * y) * L(R(z,u,w),v5,v6),v7) = K(x * (y * L(z,v5,v6)),v7). (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). ((x \ 1) \ y) * K(x,y) = (y \ ((x \ 1) \ y)) * y. K(x * (y \ R(y,z,u)),w) = K(x,w). T(x,y * a(z,u,u)) = T(x,y). 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)). ((x \ y) \ z) * T(u,(y \ x) * z) = u * ((x \ y) \ z). x * K(x,y \ (z * u)) = T(x,(z \ y) \ u). (x * y) / T(z,(x \ z) \ y) = z \ (x * y). T(x,(y * z) \ (y * u)) = T(x,z \ u). T(x,(y \ z) \ (y \ u)) = T(x,z \ u). T(x,(y * (z * u)) \ ((y * z) * w)) = T(x,L(u,z,y) \ w). T(x,(y * z) \ (z * u)) = T(x,T(y,z) \ u). T(x,y \ ((y / z) * u)) = T(x,z \ u). T(x,(y \ K(z,u)) \ w) = T(x,K(u,z) * (y * w)). T(x,((y * z) * R(u,y,z)) \ (((y * z) * u) * w)) = T(x,a(u,y,z) \ w). K(x,(y \ z) \ u) = K(x,z \ (y * u)). K(x,(y \ z) \ u) = K(x,(z \ y) * u). K(x,(y * z) \ (y * u)) = K(x,z \ u). K(x,y \ ((y / z) * u)) = K(x,z \ u). K(x,(y * z) \ (y * u)) = K(x,(w * z) \ (w * u)). K(x,L(y,z,u) \ 1) = K(x,(z * y) \ z). K(x,(y * z) \ u) = K(x,z \ (y \ u)). K(x,(y * z) \ (y * u)) = K(x,w \ ((w / z) * u)). T(x * y,y \ z) = ((x * y) \ (x * z)) \ (x * z). T(x,L(y,z,u) \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ u) = T(x,z \ (y \ u)). (x * y) / (x * L(y,z,u)) = (x * L(y,z,u)) \ (x * y). (x * R(y,z,u)) / (x * y) = (x * y) \ (x * R(y,z,u)). T(x * (y / z),z) = ((x * (y / z)) \ (x * y)) \ (x * y). L(x,y / x,z) \ (z * y) = T(z * (y / x),x). T(x * y,y \ (x \ z)) = ((x * y) \ z) \ z. T(x,((y \ 1) * z) \ 1) = T(x,z \ y). T(x,(y * (z \ 1)) \ u) = T(x,z * (y \ u)). T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). T(x,y \ ((z * u) \ (z * (u * y)))) = T(x,a(z,u,y) \ 1). (x * ((y * z) \ u)) / T(x,z \ (y \ u)) = (y * z) \ u. x / T(y * z,z \ (y \ x)) = (y * z) \ x. T(x,T(y,z) \ (z \ u)) = T(x,(y * z) \ u). T(x,(y * L(y \ z,u,w)) \ v5) = T(x,y \ (L(z / y,u,w) \ v5)). T(x,R(y,z,y) \ (z \ u)) = T(x,T(y * z,y) \ u). T(x,((y * (z * y)) / y) \ u) = T(x,z \ (L(y,z,y) \ u)). T(x,(y * a(z,u,w)) \ v5) = T(x,y \ (a(z,u,w) \ v5)). ((x / y) * z) / T(x,y \ z) = x \ ((x / y) * z). (x * y) / T(z * x,T(z,x) \ y) = (z * x) \ (x * y). T(x,a(y,z,u) \ (w \ v5)) = T(x,w \ (a(y,z,u) \ v5)). ((a(x,y,z) \ u) * w) / T(u,a(x,y,z) \ w) = u \ ((a(x,y,z) \ u) * w). K(x,L(y,z,u) \ 1) = K(x,y \ 1). 1 / ((x * L(x,y,z)) / (x * x)) = (x * L(x,y,z)) \ (x * x). T(x,R(y,z,u) \ ((z * u) \ (((z * u) * y) * w))) = T(x,a(y,z,u) \ w). ((x * L(x \ y,z,u)) \ y) \ y = x * L(x \ y,z,u). T((x / y) * z,z \ y) = (((x / y) * z) \ x) \ x. T(x,T(y,z) \ (z \ u)) = T(x,z \ (y \ u)). T(x,L(y \ z,u,w) \ (y \ v5)) = T(x,y \ (L(z / y,u,w) \ v5)). T(x,T(y * z,y) \ u) = T(x,y \ (z \ u)). T(x,y * ((z * y) \ u)) = T(x,R(z,y,y) \ u). T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). K(x,y * (L(1 / y,z,u) \ (1 / y))) = K(x,(1 / y) \ 1). (L(x,y,z) \ 1) * (u * K(u,x \ 1)) = u * (L(x,y,z) \ 1). (((x / y) * L(y,z,u)) \ x) \ x = (x / y) * L(y,z,u). L(x \ y,x,z / y) \ z = T((z / y) * x,x \ y). L(x \ y,x,y \ z) \ z = T((z / y) * x,x \ y). T((x / (x / y)) * z,z \ (x / y)) = L(z \ (x / y),z,y) \ x. T(x,R(y,z,u) \ y) = T(x,a(y,z,u) \ 1). T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). T(x,L(y,z,u) \ 1) = T(x,y \ 1). T(x,y \ (L(z / y,u,w) \ z)) = x. 1 / (x * (L(x,y,z) / (x * x))) = (x * L(x,y,z)) \ (x * x). 1 / (x * (x \ (x \ L(x,y,z)))) = (x * L(x,y,z)) \ (x * x). ((((x * y) / z) * L(z,y,x)) \ (x * y)) \ (x * y) = (x * (y * z)) / z. T(x,y \ (z * L(z \ y,u,w))) = T(x,a(w,u,z \ y) \ 1). (a(x,y,z) \ 1) * T(u,z \ L(z,y,x)) = u * (a(x,y,z) \ 1). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),u) = L(u,z,y) \ (u * (x * (u \ L(u,z,y)))). L(T(x,y \ L(y,z,u)),a(u,z,y) \ 1,a(u,z,y)) = a(u,z,y) * (x * (a(u,z,y) \ 1)). T(x,y * L(y \ 1,z,u)) = T(x,a(u,z,y) \ 1). (L(x,y,z) \ 1) * T(u,x \ 1) = u * (L(x,y,z) \ 1). (x \ (L(y,z,u) \ x)) * T(x,y \ 1) = L(y,z,u) \ x. T(x \ (L(y / x,z,u) \ y),w) = x \ (L(y / x,z,u) \ y). T(x,(y \ z) \ (L(y,u,w) \ z)) = x. (L(x,y,z) \ 1) * (x \ 1) = (x \ 1) * (L(x,y,z) \ 1). x / (L(y,z,u) * (y \ x)) = (L(y,z,u) * (y \ x)) \ x. ((x \ y) \ (L(x,z,u) \ y)) * (x \ y) = L(x,z,u) \ y. T((1 / (1 / x)) * y,y \ (x \ 1)) = L(y \ (1 / x),y,x) \ 1. T(x,a(y,z,u) \ 1) = x. (((x * (y * z)) / z) \ (x * y)) \ (x * y) = (x * (y * z)) / z. (((x * (y * L(y,z,u))) / y) \ (x * L(y,z,u))) \ (x * L(y,z,u)) = (x * (L(y,z,u) * y)) / y. (L(x * (y \ 1),z,u) * ((x * (y \ 1)) \ (x * y))) \ (x * y) = (x * y) / (L(x * (y \ 1),z,u) * (y * y)). (L(a(x,y,z),u \ (a(x,y,z) \ w),u) * (a(x,y,z) \ w)) \ w = w / (u * ((u \ (a(x,y,z) \ w)) * a(x,y,z))). (a(x,y,z) * (u * (a(x,y,z) \ 1))) \ T(u,z \ L(z,y,x)) = a(a(x,y,z),a(x,y,z) \ 1,T(u,z \ L(z,y,x))). L(T(x,y \ L(y,z,u)) \ (1 / (a(u,z,y) \ 1)),T(x,y \ L(y,z,u)),a(u,z,y) \ 1) = (x * (a(u,z,y) \ 1)) \ K(a(u,z,y) \ 1,(a(u,z,y) \ 1) \ 1). L(T(x,y \ L(y,z,u)),a(u,z,y) \ 1,a(u,z,y)) = R(x,a(u,z,y),a(u,z,y)). ((x \ 1) * (L(x,y,z) \ 1)) * (x * x) = (L(x,y,z) \ 1) * x. (L(x \ y,z,u) \ 1) * T(w,y \ x) = w * (L(x \ y,z,u) \ 1). (x * (y \ (z * L(z \ y,u,w)))) / T(x,a(w,u,z \ y) \ 1) = y \ (z * L(z \ y,u,w)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),u) = u * (L(u,z,y) \ (x * (u \ L(u,z,y)))). (x * y) / ((x * (y * z)) / z) = ((x * (y * z)) / z) \ (x * y). ((((a(x,y,z) \ u) * (a(x,y,z) * w)) / w) \ u) \ ((a(x,y,z) \ u) * a(x,y,z)) = ((a(x,y,z) \ u) * (a(x,y,z) * w)) / w. (((x * (y * L(y,z,u))) / y) \ (x * L(y,z,u))) \ (x * L(y,z,u)) = (x * (y * L(y,z,u))) / y. (L(x * (y \ 1),z,u) * ((x * (y \ 1)) \ (x * y))) \ (x * y) = (x * y) / ((y * L(y \ x,z,u)) * y). (L(a(x,y,z),u \ (a(x,y,z) \ w),u) * (a(x,y,z) \ w)) \ w = w / (u * (a(x,y,z) * (u \ (a(x,y,z) \ w)))). L(T(x,y \ L(y,z,u)) \ a(u,z,y),T(x,y \ L(y,z,u)),a(u,z,y) \ 1) = (x * (a(u,z,y) \ 1)) \ K(a(u,z,y) \ 1,(a(u,z,y) \ 1) \ 1). (x \ 1) * ((L(x,y,z) \ 1) * (x * x)) = (L(x,y,z) \ 1) * x. (L(x \ L(x,y,z),u,w) \ 1) * v5 = v5 * (L(x \ L(x,y,z),u,w) \ 1). x / (L(y \ L(y,z,u),w,v5) \ 1) = (L(y \ L(y,z,u),w,v5) \ 1) \ x. ((a(x,y,z) \ 1) \ u) * (a(x,y,z) \ 1) = u. x / (a(y,z,u) \ 1) = (a(y,z,u) \ 1) \ x. T(a(x,y,z) \ 1,u) = a(x,y,z) \ 1. K(a(x,y,z) \ 1,u) = 1. T(x,y * L(y \ 1,z,u)) = x. T(x,y \ (a(z,u,w) \ y)) = x. R((a(x,y,z) \ 1) \ u,a(x,y,z),a(x,y,z)) = u * a(x,y,z). T(x,y \ L(y,z,u)) = x. ((a(x,y,z) * u) \ u) \ u = u * a(x,y,z). (((a(x,y,z) \ 1) * u) * w) / ((a(x,y,z) \ 1) * w) = R(u,a(x,y,z) \ 1,w). K(x,a(y,z,u) \ 1) = 1. (x * (a(y,z,u) \ 1)) / x = a(y,z,u) \ 1. (a(x,y,z) \ 1) * u = u * (a(x,y,z) \ 1). x * ((a(y,z,u) \ 1) * w) = x * (w * (a(y,z,u) \ 1)). x / (a(y,z,u) * x) = (a(y,z,u) * x) \ x. (x \ (a(y,z,u) \ x)) * x = a(y,z,u) \ x. (x \ (L(a(y,z,u),w,v5) \ x)) * x = L(a(y,z,u),w,v5) \ x. (x * (y \ (z * L(z \ y,u,w)))) / x = y \ (z * L(z \ y,u,w)). x * K(a(y,z,u) \ 1,w) = x. (x \ L(x,y,z)) \ (u * (x \ L(x,y,z))) = u. ((x \ L(x,y,z)) \ u) * (x \ L(x,y,z)) = u. x / (y \ L(y,z,u)) = (y \ L(y,z,u)) \ x. T(x \ L(x,y,z),u) = x \ L(x,y,z). K(x \ L(x,y,z),u) = 1. L(x \ L(x,y,z),u,x \ L(x,y,z)) * u = u * (x \ L(x,y,z)). (x * (y \ L(y,z,u))) / x = y \ L(y,z,u). (x \ L(x,y,z)) * u = u * (x \ L(x,y,z)). T(x,y \ L(y,z,u)) != w | x = w. x \ ((y \ L(y,z,u)) * w) = x \ (w * (y \ L(y,z,u))). L(x,y,z) * (u \ L(u,w,v5)) = (u \ L(u,w,v5)) * L(x,y,z). R(x,y,z) * (u \ L(u,w,v5)) = (u \ L(u,w,v5)) * R(x,y,z). T(x,L(y,z,u) * (y \ 1)) = x. L(x \ y,x,z \ L(z,u,w)) = (x * (z \ L(z,u,w))) \ ((z \ L(z,u,w)) * y). T(x,(y \ L(y,z,u)) * w) = T(x,w * (y \ L(y,z,u))). (x * L(x \ y,z,u)) / y = y \ (x * L(x \ y,z,u)). ((x / y) * L(y,z,u)) / x = x \ ((x / y) * L(y,z,u)). (a(x,y,z) * (u * (a(x,y,z) \ 1))) \ T(u,z \ L(z,y,x)) = a(a(x,y,z),a(x,y,z) \ 1,u). L(x,a(y,z,u) \ 1,a(y,z,u)) = R(x,a(y,z,u),a(y,z,u)). L(T(x,y \ L(y,z,u)) \ a(u,z,y),x,a(u,z,y) \ 1) = (x * (a(u,z,y) \ 1)) \ K(a(u,z,y) \ 1,(a(u,z,y) \ 1) \ 1). x * K(y \ L(y,z,u),w) = x. R(x,a(y,z,u),a(y,z,u)) \ T(x,u \ L(u,z,y)) = a(a(y,z,u),a(y,z,u) \ 1,x). (x \ 1) * (L(x,y,z) \ (x * x)) = (L(x,y,z) \ 1) * x. (L(x * (y \ 1),z,u) * (y * y)) \ (x * y) = (x * y) / ((y * L(y \ x,z,u)) * y). x / (y * (a(z,u,w) * (y \ (a(z,u,w) \ x)))) = (y * ((y \ (a(z,u,w) \ x)) * a(z,u,w))) \ x. (x * L(x,y,z)) \ (x * x) = 1 / (x \ L(x,y,z)). a(a(x,y,z),a(x,y,z) \ 1,u) = R(u,a(x,y,z),a(x,y,z)) \ u. L(T(x,y \ L(y,z,u)) \ a(u,z,y),x,a(u,z,y) \ 1) = (x * (a(u,z,y) \ 1)) \ 1. (x * y) / ((y * L(y \ x,z,u)) * y) = ((y * L(y \ x,z,u)) * y) \ (x * y). x / (y * (a(z,u,w) * (y \ (a(z,u,w) \ x)))) = a(y,y \ (a(z,u,w) \ x),a(z,u,w)). (x * L(x,y,z)) \ (x * x) = L(x,y,z) \ x. x / (y * L(y \ 1,z,u)) = (y * L(y \ 1,z,u)) \ x. (x * L(x \ 1,y,z)) \ (u * L(x \ 1,y,z)) = R(u / x,x,L(x \ 1,y,z)). (x * L(x \ 1,y,z)) * u = u * (x * L(x \ 1,y,z)). (x / y) * L((x / y) \ 1,z,u) = y \ (x * L(x \ y,z,u)). (x \ y) \ (y * L(y \ (x \ y),z,u)) = x * L(x \ 1,z,u). x \ ((y \ x) * L((y \ x) \ x,z,u)) = (L(y,z,u) * (y \ x)) / x. (x / y) \ L(x / y,z,u) = y \ (x * L(x \ y,z,u)). (x / y) \ L(x / y,z,u) = (y \ x) \ L(y \ x,z,u). L(x \ y,x,z) \ L((z * x) \ (z * y),u,w) = ((z * y) / (z * x)) \ L((z * y) / (z * x),u,w). ((x * (y * y)) / z) \ L((x * (y * y)) / z,u,w) = ((z \ x) * (y * y)) \ L(z \ (x * (y * y)),u,w). R(x,y,(z \ u) \ L(z \ u,w,v5)) = R(x,y,(u / z) * L(u / z,w,v5)). (x * (y / (x * x))) \ L((x * y) / (x * x),z,u) = L(x \ y,x,x) \ L((x * x) \ (x * y),z,u). (x / (y / (z * z))) \ L((x * (z * z)) / y,u,w) = ((y \ x) * (z * z)) \ L(y \ (x * (z * z)),u,w). (x * (y / (x * x))) \ L(x * (y / (x * x)),z,u) = L(x \ y,x,x) \ L((x * x) \ (x * y),z,u). (x / (y / (z * z))) \ L(x / (y / (z * z)),u,w) = ((y \ x) * (z * z)) \ L(y \ (x * (z * z)),u,w). (x * (y / (x * x))) \ L(x * (y / (x * x)),z,u) = L(x \ y,x,x) \ L(L(x \ y,x,x),z,u). ((x / (y * y)) \ z) \ L((x / (y * y)) \ z,u,w) = ((x \ z) * (y * y)) \ L(x \ (z * (y * y)),u,w). (x * (y / (x * x))) \ L(x * (y / (x * x)),z,u) = L((x \ y) \ L(x \ y,z,u),x,x). (x \ y) \ (y * L(y \ (x \ y),z,u)) = x \ L(x,z,u). (x \ y) * (x \ L(x,z,u)) = y * L(y \ (x \ y),z,u). ((x \ y) \ z) * (x \ (y * L(y \ x,u,w))) = z * L(z \ ((x \ y) \ z),u,w). (L(x,y,z) \ u) * L(x \ L(x,w,v5),y,z) = u * L(u \ (L(x,y,z) \ u),w,v5). x \ ((y \ x) * (y \ L(y,z,u))) = L(x \ (y \ x),z,u). (x \ L(x,y,z)) * ((x \ u) \ u) = L((x \ u) \ u,y,z). R(x / (y \ L(y,z,u)),y \ L(y,z,u),(y \ w) \ w) = (x * ((y \ w) \ w)) / L((y \ w) \ w,z,u). (x \ L(x,y,z)) * (x \ L(x,u,w)) = L(x,y,z) * L(x \ 1,u,w). (L(x,y,z) \ x) \ (x \ L(x,y,z)) = L(x,y,z) * L(x \ 1,y,z). (x \ (y * z)) * ((u \ L(u,w,v5)) * (u \ L(u,w,v5))) = x \ (y * (z * (L(u,w,v5) * L(u \ 1,w,v5)))). L(((x \ L(x,y,z)) * (x \ L(x,y,z))) \ u,w,v5) = (L(x,y,z) * L(x \ 1,y,z)) \ L(u,w,v5). L(L(x,y,z) * L(x \ 1,y,z),u,w) = L(x,y,z) * L(L(x,y,z) \ (x \ L(x,y,z)),y,z). (x * y) * (L(z,u,w) * L(z \ 1,u,w)) = x * (y * (L(z,u,w) * L(z \ 1,u,w))). (x \ 1) * (L(y,z,u) * L(y \ 1,z,u)) = x \ (L(y,z,u) * L(y \ 1,z,u)). (x * (L(y,z,u) * L(y \ 1,z,u))) / w = x / (w / (L(y,z,u) * L(y \ 1,z,u))). (x \ y) * (L(y,z,u) * L(y \ 1,z,u)) = x \ (L(y,z,u) * (y \ L(y,z,u))). x * (y * (L(y,z,u) \ (L(y,z,u) \ y))) = x / (L(y,z,u) * L(y \ 1,z,u)). R(x,y,(z / (u \ 1)) * L(z / (u \ 1),u \ 1,u)) = R(x,y,((u \ 1) \ z) \ (u * z)). (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. (x \ L(x,y,z)) \ (u * L(x \ 1,y,z)) = R(u / x,x,L(x \ 1,y,z)). a(x,y,z) \ (u * (a(x,y,z) * a(x,y,z))) = (a(x,y,z) \ 1) \ u. (a(x,y,z) \ 1) \ L(u,a(x,y,z),a(x,y,z)) = a(x,y,z) * T(u,a(x,y,z) * a(x,y,z)). (a(x,y,z) \ 1) \ (u * (w * (a(x,y,z) \ 1))) = (u * (w * a(x,y,z))) / a(x,y,z). a(x,y,z) * ((a(x,y,z) \ 1) \ u) = u * (a(x,y,z) * a(x,y,z)). ((a(x,y,z) \ 1) \ u) * a(x,y,z) = u * (a(x,y,z) * a(x,y,z)). L(x \ ((a(y,z,u) \ 1) \ w),x,a(y,z,u)) = (a(y,z,u) * x) \ (w * (a(y,z,u) * a(y,z,u))). ((a(x,y,z) \ 1) \ u) / (a(x,y,z) * a(x,y,z)) = a(x,y,z) \ u. L(a(x,y,z) \ 1,u,w) * v5 = v5 * L(a(x,y,z) \ 1,u,w). (L(a(x,y,z) \ 1,u,w) \ v5) \ v5 = L(a(x,y,z) \ 1,u,w). L(a(x,y,z) \ 1,u,w) * (w * u) = w * (u * (a(x,y,z) \ 1)). (1 / a(x,y,z)) * u = u * (a(x,y,z) \ 1). (x * (y * (a(z,u,w) \ 1))) / (x * y) = L(a(z,u,w) \ 1,y,x). K(x,y * (a(z,u,w) \ 1)) * (((y * (a(z,u,w) \ 1)) * x) / (x * y)) = L(a(z,u,w) \ 1,y,x). x / L(a(y,z,u) \ 1,w,v5) = L(a(y,z,u) \ 1,w,v5) \ x. (a(x,y,z) \ 1) * (u \ a(x,y,z)) = a(x,y,z) * (u \ (a(x,y,z) \ 1)). ((a(x,y,z) \ 1) * (u * w)) / (w * (a(x,y,z) \ 1)) = R(u,w,a(x,y,z) \ 1). L(x,y,z) \ ((a(u,w,v5) \ 1) * x) = x * (L(x,y,z) \ (a(u,w,v5) \ 1)). (x * ((a(y,z,u) \ 1) * w)) \ (((a(y,z,u) \ 1) * x) * w) = a(x,a(y,z,u) \ 1,w). (x \ ((a(y,z,u) \ 1) * w)) * (v5 * v5) = x \ (w * (a(y,z,u) \ (v5 * v5))). ((a(x,y,z) \ 1) * u) \ (u * (w * (a(x,y,z) \ 1))) = L(K(u,a(x,y,z) \ 1) * w,a(x,y,z) \ 1,u). (((a(x,y,z) \ 1) * u) * w) / (w * (a(x,y,z) \ 1)) = R(u,a(x,y,z) \ 1,w). x / (y \ (z * L(z \ y,u,w))) = (y \ (z * L(z \ y,u,w))) \ x. L(L(x,y,z) \ x,u,w) * (x \ L(x,y,z)) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). L(x,x,y \ L(y,z,u)) * (y \ L(y,z,u)) = (y \ L(y,z,u)) / (x \ 1). (((x \ L(x,y,z)) \ 1) * T(((x \ L(x,y,z)) \ 1) \ u,w)) * (x \ L(x,y,z)) = T((x \ L(x,y,z)) * u,w). ((x \ L(x,y,z)) * u) \ w = (u * (x \ L(x,y,z))) \ w. (x \ L(x,y,z)) \ (x * (u * (x \ L(x,y,z)))) = x * u. x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = L(u,x,x \ L(x,y,z)). (x * (y * ((z \ L(z,u,w)) \ 1))) / ((z \ L(z,u,w)) \ 1) = (z \ L(z,u,w)) \ (x * (y * (z \ L(z,u,w)))). (x \ ((y \ L(y,z,u)) \ 1)) / ((y \ L(y,z,u)) \ 1) = (y \ L(y,z,u)) \ (x \ (y \ L(y,z,u))). T((x \ L(x,y,z)) * u,w) = T(u * (x \ L(x,y,z)),w). (x \ 1) / (L(x,y,z) \ 1) = x \ L(x,y,z). x / ((y \ L(y,z,u)) * (y \ L(y,z,u))) = ((y \ L(y,z,u)) \ x) * (L(y,z,u) \ y). (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ u) = u * ((L(x,y,z) \ x) * (L(x,y,z) \ x)). L(x \ L(x,y,z),u,w) * v5 = v5 * L(x \ L(x,y,z),u,w). (L(x \ L(x,y,z),u,w) \ v5) \ v5 = L(x \ L(x,y,z),u,w). L(x \ L(x,y,z),u,w) * (w * u) = w * (u * (x \ L(x,y,z))). T(x \ L(x,y,z),u) \ 1 = L(x,y,z) \ x. (x * (y \ (L(z,u,w) * (z \ y)))) / T(x,z \ L(z,u,w)) = y \ (L(z,u,w) * (z \ y)). ((x * (y \ L(y,z,u))) * w) / (x * w) = R(y \ L(y,z,u),x,w). x / L(y \ L(y,z,u),w,v5) = L(y \ L(y,z,u),w,v5) \ x. L(x \ L(x,y,z),u,x \ L(x,y,z)) = x \ L(x,y,z). x \ ((L(y \ L(y,z,u),w,v5) \ v6) * L(y \ L(y,z,u),w,v5)) = x \ v6. (x \ L(x,y,z)) * ((L(x,y,z) \ x) \ u) = u * ((x \ L(x,y,z)) * (x \ L(x,y,z))). (x \ L(x,y,z)) * K(u,x) = T(x,u) \ L(x,y,z). ((x \ L(x,y,z)) * (u * w)) / (w * (x \ L(x,y,z))) = R(u,w,x \ L(x,y,z)). T((x \ L(x,y,z)) * u,w \ L(w,v5,v6)) = u * (x \ L(x,y,z)). L(x,y,z) * L(u,x,x \ L(x,y,z)) = (x * u) * (x \ L(x,y,z)). x * (y * L(y \ (x \ y),z,u)) = y * (x \ L(x,z,u)). (x * (L(y,z,u) \ y)) * (y \ L(y,z,u)) = L(x,L(y,z,u) \ y,y \ L(y,z,u)). (x * x) * (y \ L(y,z,u)) = y * L(y \ (x * x),z,u). ((x \ L(x,y,z)) * u) \ (u * (w * (x \ L(x,y,z)))) = L(T(w,x \ L(x,y,z)),x \ L(x,y,z),u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (u * (x \ L(x,y,z))). (x \ L(x,y,z)) * (x * u) = x * (u * (x \ L(x,y,z))). L(x,y,z) \ (x * (u * (x \ L(x,y,z)))) = L(u,x,x \ L(x,y,z)). (L(x,y,z) \ x) * (u * (x \ L(x,y,z))) = L(u,x \ L(x,y,z),L(x,y,z) \ x). ((x \ L(x,y,z)) * (u * w)) * a(x \ L(x,y,z),w,u) = (u * w) * R(x \ L(x,y,z),w,u). T(x,L(y,z,u) * (y \ w)) = T(x,w * (y \ L(y,z,u))). K(x * (y * (x \ L(x,z,u))),w) = K(L(x,z,u) * y,w). T(x,(y * (L(y,z,u) \ w)) * (y \ L(y,z,u))) = T(x,w). x * ((x \ y) * (x \ L(x,z,u))) = y * (x \ L(x,z,u)). L(x \ y,x,z \ L(z,u,w)) = (x * (z \ L(z,u,w))) \ (y * (z \ L(z,u,w))). (x \ ((x / y) * L(y,z,u))) * x = (x / y) * L(y,z,u). L(x \ a(y,z,u),x,a(y,z,u) \ 1) = (x * (a(y,z,u) \ 1)) \ 1. L(x * (y \ 1),z,u) \ (x * (y \ 1)) = ((y * L(y \ x,z,u)) * y) \ (x * y). ((a(x,y,z) \ 1) * (u * w)) / (w * (a(x,y,z) \ 1)) = R(u,w,a(x,y,z)). T(x,R(y,z,u)) != w | T(x,y) = w. ((x \ L(x,y,z)) * (u * w)) / (w * (x \ L(x,y,z))) = R(u,w,x * L(x,y,z)). x \ (y * (z * (L(u,w,v5) * L(u \ 1,w,v5)))) = (x \ (y * z)) * (L(u,w,v5) * L(u \ 1,w,v5)). (L(x,y,z) * L(x \ 1,y,z)) \ L(u,w,v5) = L((L(x,y,z) * L(x \ 1,y,z)) \ u,w,v5). L(L(x,y,z) * L(x \ 1,y,z),u,w) = L(x,y,z) * L(x \ 1,y,z). x * ((x \ y) * (L(z,u,w) * L(z \ 1,u,w))) = y * (L(z,u,w) * L(z \ 1,u,w)). (((x * y) / x) * x) * (L(z,u,w) * L(z \ 1,u,w)) = y * (T(x,y) * (L(z,u,w) * L(z \ 1,u,w))). (x / (L(y,z,u) * L(y \ 1,z,u))) / w = x / (w * (L(y,z,u) * L(y \ 1,z,u))). x \ (y * (L(z,u,w) * L(z \ 1,u,w))) = (x \ y) * (L(z,u,w) * L(z \ 1,u,w)). K(L(x,y,z) * L(x \ 1,y,z),u * w) * ((u * (w * (L(x,y,z) * L(x \ 1,y,z)))) / v5) = ((L(x,y,z) * L(x \ 1,y,z)) * (u * w)) / v5. (L(x,y,z) * L(x \ 1,y,z)) \ (u \ (L(x,y,z) * L(x \ 1,y,z))) = T(u \ 1,L(x,y,z) * L(x \ 1,y,z)). (x * y) / (L(z,u,w) * L(z \ 1,u,w)) = x * (y / (L(z,u,w) * L(z \ 1,u,w))). (x * x) * (x \ L(x,y,z)) = x * L(x,y,z). x \ (y * (x \ L(x,z,u))) = (x \ y) * (x \ L(x,z,u)). x \ ((x \ L(x,y,z)) * u) = (x \ u) * (x \ L(x,y,z)). (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). (L(x,y,z) * (x \ u)) / u = u \ (L(x,y,z) * (x \ u)). (x \ L(x,y,z)) \ (u * L(x \ 1,y,z)) = R(u / x,x,L(x,y,z)). (a(x,y,z) \ u) * (a(x,y,z) * a(x,y,z)) = (a(x,y,z) \ 1) \ u. (a(x,y,z) \ 1) \ (u * (w * (a(x,y,z) \ 1))) = a(x,y,z) \ (u * (w * a(x,y,z))). L(x \ ((a(y,z,u) \ 1) \ w),x,a(y,z,u)) = ((a(y,z,u) * x) \ w) * (a(y,z,u) * a(y,z,u)). (a(x,y,z) \ ((a(x,y,z) \ 1) \ u)) * (a(x,y,z) \ 1) = a(x,y,z) \ u. K(x,y / a(z,u,w)) * (((y * (a(z,u,w) \ 1)) * x) / (x * y)) = L(a(z,u,w) \ 1,y,x). ((a(x,y,z) \ 1) * u) \ (u * (w * (a(x,y,z) \ 1))) = L(1 * w,a(x,y,z) \ 1,u). (x \ ((y \ x) * L((y \ x) \ x,z,u))) \ w = w / (x \ (L(y,z,u) * (y \ x))). ((L(x,y,z) \ x) * T(((x \ L(x,y,z)) \ 1) \ u,w)) * (x \ L(x,y,z)) = T((x \ L(x,y,z)) * u,w). (x \ L(x,y,z)) * (a(u,w,v5) * x) = x * (a(u,w,v5) * (x \ L(x,y,z))). (x * (y * (L(z,u,w) \ z))) / ((z \ L(z,u,w)) \ 1) = (z \ L(z,u,w)) \ (x * (y * (z \ L(z,u,w)))). (x \ (L(y,z,u) \ y)) / ((y \ L(y,z,u)) \ 1) = (y \ L(y,z,u)) \ (x \ (y \ L(y,z,u))). (x * (y \ (L(z,u,w) * (z \ y)))) / x = y \ (L(z,u,w) * (z \ y)). a(x \ L(x,y,z),u,x \ L(x,y,z)) = 1. R(x \ L(x,y,z),u,x * L(x,y,z)) = x \ L(x,y,z). ((x \ L(x,y,z)) * u) \ (u * (w * (x \ L(x,y,z)))) = L(w,x \ L(x,y,z),u). (x \ 1) * (T(y,x \ 1) * (x \ L(x,z,u))) = (x \ L(x,z,u)) * (y * (x \ 1)). L(x \ L(x,y,z),u,x) = x \ L(x,y,z). (x * (y \ L(y,z,u))) \ ((x * w) * (y \ L(y,z,u))) = L(w,x,y \ L(y,z,u)). (x * (y / (x * x))) \ L(x * (y / (x * x)),z,u) = L(x \ (y * L(y \ x,z,u)),x,x). L(x,y,x) \ L(L(x,y,x),z,u) = x \ L(x,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)). a(x,y,x \ L(x,z,u)) = 1. L(L(x \ L(x,y,z),u,w),v5,x) = L(x \ L(x,y,z),u,w). (x * y) * L(x \ L(x,z,u),w,v5) = x * (y * L(x \ L(x,z,u),w,v5)). ((a(x,y,z) \ 1) * (u * w)) / ((a(x,y,z) \ 1) * w) = R(u,w,a(x,y,z)). L(x * (y \ 1),z,u) \ (x * (y \ 1)) = L(x * y,z,u) \ (x * y). L(x,y,z) / (L(u,w,v5) * L(u \ 1,w,v5)) = L(x / (L(u,w,v5) * L(u \ 1,w,v5)),y,z). (x \ y) / (L(z,u,w) * L(z \ 1,u,w)) = x \ (y / (L(z,u,w) * L(z \ 1,u,w))). ((1 / x) \ y) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ (y * (x \ L(x,z,u))). R(x,y,x \ L(x,z,u)) = x. (x * (a(y,z,u) \ 1)) / (a(y,z,u) \ w) = (x * a(y,z,u)) / ((a(y,z,u) \ 1) \ w). L(a(x,y,z) \ (u * (w * a(x,y,z))),a(x,y,z) \ 1,a(x,y,z)) = 1 \ (a(x,y,z) * (u * (w * (a(x,y,z) \ 1)))). (a(x,y,z) \ 1) \ (u * ((a(x,y,z) \ 1) * w)) = a(x,y,z) \ (u * (w * a(x,y,z))). K(x,a(y,z,u) \ w) * (((w * (a(y,z,u) \ 1)) * x) / (x * w)) = L(a(y,z,u) \ 1,w,x). ((a(x,y,z) \ 1) * u) \ (u * (w * (a(x,y,z) \ 1))) = L(w,a(x,y,z) \ 1,u). x / (y \ (L(z,u,w) * (z \ y))) = (y \ (L(z,u,w) * (z \ y))) \ x. T(x \ (L(y,z,u) * (y \ x)),w) = x \ (L(y,z,u) * (y \ x)). a(x,y,L(x \ L(x,z,u),w,v5)) = 1. x * (1 / L(x \ L(x,y,z),u,w)) = x / L(x \ L(x,y,z),u,w). x / (L(x \ L(x,y,z),u,w) \ 1) = x * L(x \ L(x,y,z),u,w). x \ (y * L(x \ L(x,z,u),w,v5)) = (x \ y) * L(x \ L(x,z,u),w,v5). (x \ 1) * L(L(x \ L(x,y,z),u,w),v5,v6) = x \ L(L(x \ L(x,y,z),u,w),v5,v6). (x \ L(x,y,z)) * L(x \ L(x,u,w),v5,v6) = L(x,y,z) * (x \ L(x \ L(x,u,w),v5,v6)). R(x,y,L(x \ L(x,z,u),w,v5)) = x. (x \ (y * L(y \ x,z,u))) \ (x \ y) = L(1 / (x \ y),z,u) \ 1. L(1 / x,y,z) \ 1 = (x \ L(x,y,z)) \ x. R(x,y,x * L(x,z,u)) = x. L(x,y,z) \ (u * (x \ L(x,w,v5))) = (L(x,y,z) \ u) * (x \ L(x,w,v5)). L(x,y,z) / ((x \ L(x,u,w)) \ 1) = L(x,y,z) * (x \ L(x,u,w)). R(x,y,L(x,z,u) \ x) = x. (L(x,y,z) \ x) * (x * u) = x * ((L(x,y,z) \ x) * u). x / (x \ L(x,y,z)) = x * (L(x,y,z) \ x). (x * y) * (L(x,z,u) \ x) = x * (y * (L(x,z,u) \ x)). x \ (y * (L(x,z,u) \ x)) = (x \ y) * (L(x,z,u) \ x). (L(x,y,z) * u) * (L(x,w,v5) \ x) = L(x,y,z) * (u * (L(x,w,v5) \ x)). K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). x * ((L(y,z,u) \ y) * (L(y,z,u) \ y)) = x / (L(y,z,u) * L(y \ 1,z,u)). (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) * L(L(x,y,z) \ x,u,w)) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). x * (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x,y,z) * L(L(x,y,z) \ x,u,w). (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)). (1 / x) \ (y * (x \ L(x,z,u))) = ((1 / x) \ y) * (x \ L(x,z,u)). (L(x,y,z) \ x) * (x \ L(x,u,w)) = L(x,y,z) \ L(x,u,w). (L(x,y,z) \ x) \ (L(x,y,z) \ L(x,u,w)) = x \ L(x,u,w). x * ((L(x,y,z) \ u) * (x \ L(x,y,z))) = L(u,x,x \ L(x,y,z)). L(x,y,z) / (L(x,u,w) \ x) = L(x,y,z) * (x \ L(x,u,w)). (L(x,y,z) \ x) \ (x * u) = x * ((L(x,y,z) \ x) \ u). (x * ((L(x,y,z) \ x) * u)) \ (((L(x,y,z) \ x) * x) * u) = a(L(x,y,z) \ x,x,u). L(L(x,y,z) \ x,u,x) = L(x,y,z) \ x. x \ ((L(x,y,z) \ x) * u) = (x \ u) * (L(x,y,z) \ x). x * (1 / L(x \ L(x,y,z),u,w)) = L(x \ L(x,y,z),u,w) \ x. (L(x \ L(x,y,z),u,w) \ 1) \ x = x * L(x \ L(x,y,z),u,w). (x \ y) / L(x \ L(x,z,u),w,v5) = x \ (L(x \ L(x,z,u),w,v5) \ y). R(x,y,L(L(x,z,u) \ x,w,v5)) = x. (L(x,y,z) * (x \ L(x \ L(x,y,z),u,w))) \ ((x \ L(x,y,z)) * (x \ L(x,y,z))) = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)). ((L(x,y,z) \ x) * T((L(x,y,z) \ x) \ u,w)) * (x \ L(x,y,z)) = T((x \ L(x,y,z)) * u,w). (x * (y * (L(z,u,w) \ z))) / (L(z,u,w) \ z) = (z \ L(z,u,w)) \ (x * (y * (z \ L(z,u,w)))). (x \ (L(y,z,u) \ y)) / (L(y,z,u) \ y) = (y \ L(y,z,u)) \ (x \ (y \ L(y,z,u))). L(x,y,z) * (x \ 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) * L(L(x,y,z) \ x,y,z) = x * (x * L(L(x,y,z) \ 1,y,z)). 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)) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). (x * a(y,z,u)) / ((a(y,z,u) \ 1) \ L(w,a(y,z,u) \ 1,a(y,z,u))) = (x * (a(y,z,u) \ 1)) / ((a(y,z,u) \ 1) * w). R(a(x,y,z) \ (u * (w * a(x,y,z))),a(x,y,z),a(x,y,z)) = 1 \ (a(x,y,z) * (u * (w * (a(x,y,z) \ 1)))). L((a(x,y,z) \ (u * (w * a(x,y,z)))) \ v5,(a(x,y,z) \ 1) \ (u * ((a(x,y,z) \ 1) * w)),a(x,y,z) \ 1) = (u * ((a(x,y,z) \ 1) * w)) \ ((a(x,y,z) \ 1) * v5). (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6) = x * (L(x,y,z) \ L(x \ L(x,u,w),v5,v6)). (x \ L(x,y,z)) * (x * (L(x,y,z) \ u)) = L(u,x,x \ L(x,y,z)). L(x,y,z) \ L(u,x,x \ L(x,y,z)) = L(L(x,y,z) \ u,x,x \ L(x,y,z)). (L(x,y,z) \ x) \ L(x,u,w) = L(x,u,w) * (x \ L(x,y,z)). (L(x,y,z) \ x) \ (x * (L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x))) = x * (L(L(x,y,z) \ x,u,w) \ 1). a(L(x,y,z) \ x,x,u) = a(x,L(x,y,z) \ x,u). (x * (y * (L(x,z,u) \ x))) * a(L(x,z,u) \ x,x,y) = x * (y * R(L(x,z,u) \ x,x,y)). R(T(x,y),z,u) \ ((L(R(T(x,y),z,u),w,v5) \ R(T(x,y),z,u)) * T(x,y)) = (R(x,z,u) \ x) * (L(R(T(x,y),z,u),w,v5) \ R(T(x,y),z,u)). x * (L(x \ L(x,y,z),u,w) \ 1) = L(x \ L(x,y,z),u,w) \ x. x * L(x \ L(x,y,y \ 1),z,u) = a(y \ 1,y,L(x,z,u)) \ x. L(x \ L(x,y,z),u,w) \ (x \ v5) = x \ (L(x \ L(x,y,z),u,w) \ v5). (L(x,y,z) * u) * L(L(x,w,v5) \ x,v6,v7) = L(x,y,z) * (u * L(L(x,w,v5) \ x,v6,v7)). R(x,y,a(z,u,x)) = x. (L(x,y,z) * (x \ L(x \ L(x,y,z),u,w))) \ (L(x,y,z) * L(x \ 1,y,z)) = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)). ((x \ L(x,y,z)) \ u) * (L(x,y,z) \ x) = u * (x * (L(x,y,z) \ (L(x,y,z) \ x))). ((x \ L(x,y,z)) \ u) * (L(x,y,z) \ x) = u / (L(x,y,z) * L(x \ 1,y,z)). (x \ L(x,y,z)) * ((L(x,y,z) \ x) \ u) = u * (L(x,y,z) * L(x \ 1,y,z)). R(x,y \ L(y,z,u),y * L(y,z,u)) = L(x,y \ L(y,z,u),L(y,z,u) \ y). (x * (L(x,y,z) \ T(L(x,y,z) * (x \ u),w))) * (x \ L(x,y,z)) = T((x \ L(x,y,z)) * u,w). (L(x,y,z) \ x) \ (u \ (L(x,y,z) \ x)) = (x \ L(x,y,z)) \ (u \ (x \ L(x,y,z))). L(x,y,z) * L(L(x,y,z) \ x,y,z) = L(x * (x * (L(x,y,z) \ 1)),y,z). (x * (y * (L(x,z,u) \ x))) * a(x,L(x,z,u) \ x,y) = x * (y * R(L(x,z,u) \ x,x,y)). (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ u) = u / (L(x,y,z) * L(x \ 1,y,z)). R(x,L(y,z,u) \ y,y * L(y,z,u)) = L(x,L(y,z,u) \ y,y \ L(y,z,u)). (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) \ (L(x,y,z) \ x) = x \ (L(x \ L(x,y,z),u,w) \ L(x,y,z)). a(x,y,z) * (z * u) = z * (a(x,y,z) * u). (x * a(y,z,u)) * a(w,v5,a(y,z,u)) = a(y,z,u) * (x * a(w,v5,a(y,z,u))). a(x,y,z) * (z * u) = z * (u * a(x,y,z)). (a(x,y,z) * u) * a(w,v5,u) = u * (a(x,y,z) * a(w,v5,u)). (x * y) * a(z,u,x) = x * (y * a(z,u,x)). x * (a(y,z,x) \ 1) = a(y,z,x) \ x. (x * a(y,z,x)) \ x = a(y,z,x) \ 1. x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x). (L(x,y,z) * u) * a(w,v5,x) = L(x,y,z) * (u * a(w,v5,x)). (x \ 1) * a(y,z,x) = x \ a(y,z,x). L(x,y,z) \ (u * a(w,v5,x)) = (L(x,y,z) \ u) * a(w,v5,x). T(x,((y \ z) \ u) * w) = T(x,((z \ y) * u) * w). x * (a(y,z,x) * (x \ u)) = a(y,z,x) * u. a(x,y,z) \ (z * u) = z * (a(x,y,z) \ u). a(x,y,z) * (a(u,w,v5) * z) = z * (a(x,y,z) * a(u,w,v5)). (a(x,y,z) \ 1) \ z = z * a(x,y,z). a(x,y,x) * (y * x) = T(x * y,x). a(x,y,z) * (z \ (a(x,y,z) \ u)) = z \ u. (x * y) * a(y,x,y) = T(y * x,y). x * ((x \ y) * a(z,u,x)) = a(z,u,x) * y. x \ (a(y,z,x) * u) = (x \ u) * a(y,z,x). L(a(x,y,z),u,z) = a(x,y,z). (a(x,y,z) * z) \ (z * (u * a(x,y,z))) = L(u,z,a(x,y,z)). (x * (y * a(z,u,x))) \ ((x * a(z,u,x)) * y) = a(a(z,u,x),x,y). a(x,y,a(z,u,x)) = 1. x * (((x * x) \ y) * a(z,u,x)) = (x \ L(y,x,x)) * a(z,u,x). L(x \ 1,y,z) * (u * a(w,v5,L(x \ 1,y,z))) = (L(x \ 1,y,z) * u) * a(w,v5,L(x,y,z)). x \ (a(y,z,x) \ x) = a(y,z,x) \ 1. ((L(x,y,z) \ x) \ x) * a(u,w,L(x,y,z) \ x) = x * ((L(x,y,z) \ x) \ a(u,w,L(x,y,z) \ x)). (x \ L(x,y,z)) * a(u,w,x) = L(x,y,z) * (x \ a(u,w,x)). (L(x,y,z) \ x) \ (1 * a(u,w,L(x,y,z) \ x)) = (x \ L(x,y,z)) * a(u,w,L(x,y,z) \ x). (L(x,y,z) * u) * a(w,v5,x) = L(x,y,z) * (a(w,v5,x) * u). L(a(x,y,z),u,L(z,w,v5)) = a(x,y,z). L(x,y,z) * (u * a(w,v5,x)) = a(w,v5,x) * (L(x,y,z) * u). (a(x,y,z) \ 1) \ L(z,u,w) = L(z,u,w) * a(x,y,z). a(L(x,y,z),u,a(w,v5,x)) = 1. (L(x,y,z) \ x) * a(u,w,x) = x * (L(x,y,z) \ a(u,w,x)). a(x,y,z) \ (z \ u) = z \ (a(x,y,z) \ u). a(x * y,z,x * (y * (x * y))) = 1. ((x * R(y,z,u)) / x) \ y = R(y,z,u) \ T(y,x). T(x,y * a(z,u,u)) = x * K(x,y). L(a(x,y,L(L(z,u,w),v5,v6)),v7,L(L(z,v5,v6),u,w)) = a(x,y,L(L(z,u,w),v5,v6)). (x \ L(x,y,z)) \ a(u,w,x \ L(x,y,z)) = x * (L(x,y,z) \ a(u,w,x \ L(x,y,z))). L(L(a(x,y,z),u,w),v5,z) = L(a(x,y,z),u,w). a((x * y) \ x,z,a(u,w,y \ 1)) = 1. R((x * y) / x,z,u) \ y = R(y,z,u) \ T(y,x). R(x,y,y) \ T(x,y) = ((y * x) * (y \ 1)) \ x. (L(x,y,z) \ x) \ (u * (x * (L(x,y,z) \ (L(x,y,z) \ x)))) = (x \ L(x,y,z)) \ u. ((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(L(x,y,z) \ x,y,z) = L(x * (L(x,y,z) \ x),y,z). (x \ L(x,y,z)) \ T((x \ L(x,y,z)) * u,w) = x * (L(x,y,z) \ T(L(x,y,z) * (x \ u),w)). (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) / (L(x,y,z) * L(x \ 1,y,z)) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). x \ L(x,L(y,z,u) \ y,y \ L(y,z,u)) = a(x,L(y,z,u) \ y,y * L(y,z,u)). K(x,y * (L(1 / y,z,u) \ (1 / y))) = K(x,y). T(x,((y * z) * u) * ((z * u) \ (y \ w))) = T(x,a(y,z,u) * w). T(x,((y \ z) * u) * T(w,(y \ z) * u)) = T(x,w * ((z \ y) \ u)). x * (a(y,z,x) \ ((x * x) \ u)) = a(y,z,x) \ (x \ L(u,x,x)). a((a(x,y,z) \ 1) \ z,u,w) = a(a(x,y,z) * z,u,w). L(x,a(y,z,u),u) = L(x,u,a(y,z,u)). a(a(x,y,z),z,u) = a(z,a(x,y,z),u). (L(x \ 1,y,z) * u) * a(w,v5,L(x,y,z)) = L(x \ 1,y,z) * (u * a(w,v5,L(x,y,z))). x * ((L(x,y,z) \ x) \ a(u,w,L(x,y,z) \ x)) = L(x,y,z) * a(u,w,L(x,y,z) \ x). L(x,y,z) * (x \ a(u,w,x)) = a(u,w,x) * (x \ L(x,y,z)). (L(x,y,z) \ x) \ (1 * a(u,w,x * L(x,y,z))) = (x \ L(x,y,z)) * a(u,w,L(x,y,z) \ x). L(x,y,z) * (a(u,w,x) * v5) = a(u,w,x) * (L(x,y,z) * v5). (a(x,y,z) * L(z,u,w)) \ L(z,u,w) = a(x,y,z) \ 1. L(a(x,y,z),u,L(z,w,v5)) * v6 = a(x,y,z) * v6. L(L(a(x,y,z),u,w),v5,L(z,v6,v7)) = L(a(x,y,z),u,w). a(x,y,z) \ (L(z,u,w) * v5) = L(z,u,w) * (a(x,y,z) \ v5). a(x,y,z) * (L(z,u,w) \ z) = z * (L(z,u,w) \ a(x,y,z)). (L(x,y,z) \ x) \ (u * (x \ L(x,y,z))) = u * (L(x,y,z) * L(x \ 1,y,z)). a(x,y,L(a(z,u,x),w,v5)) = 1. a((x * y) \ x,z,a(u,w,y)) = 1. 1 \ (a(x,y,z) * (u * (w * (a(x,y,z) \ 1)))) = (u * (w * a(x,y,z))) * (a(x,y,z) \ 1). L((a(x,y,z) \ (u * (w * a(x,y,z)))) \ v5,a(x,y,z) \ (u * (w * a(x,y,z))),a(x,y,z) \ 1) = (u * ((a(x,y,z) \ 1) * w)) \ ((a(x,y,z) \ 1) * v5). (L(x,y,z) \ x) \ (x * (x \ (L(x \ L(x,y,z),u,w) \ L(x,y,z)))) = x * (L(L(x,y,z) \ x,u,w) \ 1). x * ((L(x,y,z) \ L(x \ L(x,y,z),u,w)) / (L(x,y,z) * L(x \ 1,y,z))) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). T(x,((y * z) * u) * (u \ (z \ (y \ w)))) = T(x,a(y,z,u) * w). T(x,y * ((z \ u) \ w)) = T(x,y * ((u \ z) * w)). K(x,y * a(z,u,u)) = K(x,y). x * (a(y,z,x) \ ((x * x) \ u)) = x \ (a(y,z,x) \ L(u,x,x)). L(a(x,y,z) \ u,z,a(x,y,z)) = (z * a(x,y,z)) \ (z * u). a(a(x,y,z),z,u) * w = w * a(z,a(x,y,z),u). x * ((L(x,y,z) \ x) \ a(u,w,L(x,y,z) \ x)) = L(x,y,z) * a(u,w,x * L(x,y,z)). (L(x,y,z) \ x) \ a(u,w,x * L(x,y,z)) = (x \ L(x,y,z)) * a(u,w,L(x,y,z) \ x). a(x,y,z) * (u * T(L(z,w,v5),u)) = L(z,w,v5) * (a(x,y,z) * u). L(a(x,y,z) \ 1,u,L(z,w,v5)) = a(x,y,z) \ 1. L(x,y,z) \ (a(u,w,x) \ v5) = a(u,w,x) \ (L(x,y,z) \ v5). L(L(x,y,z) \ (L(x,y,z) \ x),y,z) * (a(u,w,L(x,y,z) \ (L(x,y,z) \ x)) \ v5) = a(u,w,L(x,y,z) \ (L(x,y,z) \ x)) \ ((L(x,y,z) \ 1) * v5). (x * (y * a(z,u,w))) * (a(z,u,w) \ 1) = a(z,u,w) * (x * (y * (a(z,u,w) \ 1))). (L(x,y,z) \ x) \ (L(x \ L(x,y,z),u,w) \ L(x,y,z)) = x * (L(L(x,y,z) \ x,u,w) \ 1). x * (L(x,y,z) \ (L(x \ L(x,y,z),u,w) / (L(x,y,z) * L(x \ 1,y,z)))) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). T(x,a(y,z,u) * w) = T(x,(y * z) * (z \ (y \ w))). x / T(x,y * ((z \ u) * w)) = K(y * ((u \ z) \ w),x). (L(x,y,z) \ x) \ a(u,w,x * L(x,y,z)) = (x \ L(x,y,z)) * a(u,w,x * L(x,y,z)). L(a(x,y,z) \ (L(z,u,w) \ v5),L(z,u,w),a(x,y,z)) = (a(x,y,z) * L(z,u,w)) \ v5. (1 / a(x,y,z)) * (u * (w * a(x,y,z))) = a(x,y,z) * (u * (w * (a(x,y,z) \ 1))). (a(x,y,z) \ 1) * (u * (w * a(x,y,z))) = a(x,y,z) * (u * (w * (a(x,y,z) \ 1))). x * (L(x,y,z) \ L((x \ L(x,y,z)) / (L(x,y,z) * L(x \ 1,y,z)),u,w)) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). T(x,a(y,z,u) * w) = T(x,y * (y \ w)). K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w). x * (L(x,y,z) \ L(x \ (L(x,y,z) / (L(x,y,z) * L(x \ 1,y,z))),u,w)) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). T(x,a(y,z,u) * w) = T(x,w). x * ((L(x,y,z) \ x) \ a(u,w,x * L(x,y,z))) = L(x,y,z) * a(u,w,x * L(x,y,z)). x * (L(x,y,z) \ L(x \ L(x / (L(x,y,z) * L(x \ 1,y,z)),y,z),u,w)) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). T(x / (a(y,z,u) * w),w) = (a(y,z,u) * w) \ x. x * T(y,a(z,u,w) * x) = y * x. T(x,y * (a(z,u,w) * v5)) = T(x,y * v5). T(x,y * a(z,u,w)) = T(x,y). T(a(x,y,z) / u,u \ 1) = a(x,y,z) / u. K(a(x,y,z) * u,w) = w / T(w,u). (a(x,y,z) * u) / T(w * w,u) = (w * w) \ (a(x,y,z) * u). (a(x,y,z) * u) * T(w,u) = w * (a(x,y,z) * u). K(x,a(y,z,u) * w) = T(x,w) / x. T(x,a(y,z,u) \ w) = T(x,w). L(x,y,a(z,u,w)) * (a(z,u,w) * y) = a(z,u,w) * (y * T(x,y)). T(x,y / a(z,u,w)) = T(x,y). (a(x,y,z) * u) * T(w,u) = w * (u * a(x,y,z)). L(x,y \ z,a(u,w,v5) * y) * ((a(u,w,v5) * y) * (y \ z)) = (a(u,w,v5) * y) * ((y \ z) * T(x,z)). (a(x,y,z) \ 1) \ L(u,a(x,y,z),a(x,y,z)) = a(x,y,z) * T(u,a(x,y,z)). K(a(x,y,z) * u,w) = K(u,w). x / (a(y,z,u) * a(w,v5,v6)) = (a(y,z,u) * a(w,v5,v6)) \ x. (a(x,y,z) * (u * w)) / (a(x,y,z) * w) = L(u,w,a(x,y,z)). (x / (a(y,z,u) * w)) * w = w * ((a(y,z,u) * w) \ x). (a(x,y,z) \ u) * T(w,u) = w * (a(x,y,z) \ u). L(x,y,a(z,u,w)) * (a(z,u,w) * y) = a(z,u,w) * (x * y). x * T(y,x * a(z,u,w)) = y * x. L(x,y,a(z,u,w)) * (a(z,u,w) * y) = (x * y) * a(z,u,w). (x * a(y,z,u)) * x = x * (x * a(y,z,u)). T((x * (a(y,z,u) * w)) / x,x * w) = L(a(y,z,u) * w,x,a(y,z,u) * w). T(x,y * (z * a(u,w,v5))) = T(x,y * z). T(x / (y * a(z,u,w)),y) = (y * a(z,u,w)) \ x. T(x,x * a(y,z,u)) = x. T(x,y \ a(z,u,w)) = T(x,y \ 1). (x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = R(w,x,a(y,z,u)). (x * a(y,z,u)) * T(w,x) = w * (x * a(y,z,u)). T(a(x,y,z) / (u \ 1),u) = a(x,y,z) / (u \ 1). a(x,y,z) * (u / T(w * w,u)) = (w * w) \ (a(x,y,z) * u). (x * (a(y,z,u) * x)) / x = a(y,z,u) * x. (x / y) * (a(z,u,w) * y) = (a(z,u,w) * y) * (y \ x). (a(x,y,z) * a(u,w,v5)) * v6 = v6 * (a(x,y,z) * a(u,w,v5)). (a(x,y,z) * (u / (a(x,y,z) \ 1))) * T(w,u / (a(x,y,z) \ 1)) = w * (u * (a(x,y,z) * a(x,y,z))). K(x,a(y,z,u) * w) = K(x,w). T(x,a(y,z,u) \ (a(w,v5,v6) \ v7)) = T(x,v7). T(x,a(y,z,u) \ (a(w,v5,v6) \ 1)) = x. T(x,y \ (a(z,u,w) \ v5)) = T(x,y \ v5). R(T(x,y),x \ (a(z,u,w) \ y),x) = (x \ (a(z,u,w) \ y)) \ (a(z,u,w) \ y). ((a(x,y,z) \ 1) * u) * T(w,u) = w * ((a(x,y,z) \ 1) * u). ((a(x,y,z) \ u) * w) / T(u,w) = u \ ((a(x,y,z) \ u) * w). T(x,x \ a(y,z,u)) = (x \ 1) \ 1. ((a(x,y,z) / u) \ 1) \ 1 = u \ a(x,y,z). (x / y) * (y * a(z,u,w)) = (a(z,u,w) * y) * (y \ x). (a(x,y,z) * a(u,w,v5)) * v6 = v6 * (a(u,w,v5) * a(x,y,z)). L(L(x,y,z),u,a(w,v5,x)) = L(x,y,z). (a(x,y,z) \ 1) \ L(u,a(x,y,z),a(x,y,z)) = a(x,y,z) * u. K(a(x,y,z) \ u,w) = K(u,w). K(x * a(y,z,u),w) = K(x,w). T(x * K(y,x),x * (a(z,u,w) * y)) = L(x,a(z,u,w) * y,x). a(x,y,z) * K(u \ 1,u) = (u \ a(x,y,z)) * u. K(a(x,y,z) \ u,w) = u \ T(u,w). ((a(x,y,z) \ u) \ w) * K(u,(a(x,y,z) \ u) \ w) = w / (a(x,y,z) \ u). ((a(x,y,z) \ u) \ w) * K(u,(u \ a(x,y,z)) * w) = w / (a(x,y,z) \ u). K(x \ a(y,z,u),w) = K(x \ 1,w). K(x \ 1,x) * a(y,z,u) = (x \ a(y,z,u)) * x. (x / (y * a(z,u,w))) * y = y * ((y * a(z,u,w)) \ x). R(x,x,a(y,z,u)) = L(x,x,a(y,z,u)). L(x,y,a(z,u,w)) * (y * a(z,u,w)) = (x * y) * a(z,u,w). T((x * (a(y,z,u) * w)) / x,x * w) = L(w * a(y,z,u),x,w * a(y,z,u)). T(a(x,y,z) \ u,u \ 1) = ((a(x,y,z) \ u) \ 1) \ 1. R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)). (x / y) * (y * a(z,u,w)) = (y * a(z,u,w)) * (y \ x). (x * a(y,z,u)) * x = x * (a(y,z,u) * x). (x * ((a(y,z,u) * a(w,v5,v6)) \ v7)) / T(x,v7) = (a(y,z,u) * a(w,v5,v6)) \ v7. (a(x,y,z) \ (a(u,w,v5) \ 1)) * v6 = v6 * (a(x,y,z) \ (a(u,w,v5) \ 1)). T(T(x * K(x * (y \ (a(z,u,w) \ v5)),x),v6),y \ v5) = R(T(x,v6),y \ (a(z,u,w) \ v5),x). (a(x,y,z) \ u) * (u \ w) = (w / u) * (a(x,y,z) \ u). L(x,a(y,z,u) \ w,a(v5,v6,v7) * a(y,z,u)) * ((a(v5,v6,v7) * a(y,z,u)) * (a(y,z,u) \ w)) = (a(v5,v6,v7) * a(y,z,u)) * (x * (a(y,z,u) \ w)). ((a(x,y,z) \ 1) * u) * T(w,u) = w * (u * (a(x,y,z) \ 1)). (x \ a(y,z,u)) \ a(y,z,u) = (x \ 1) \ 1. 1 / (x \ a(y,z,u)) = (a(y,z,u) / x) \ 1. T(x * K(y,x),x * y) = L(x,a(z,u,w) * y,x). x * ((x \ L(x,y,z)) * a(u,w,x * L(x,y,z))) = L(x,y,z) * a(u,w,x * L(x,y,z)). x / (a(y,z,u) * a(w,v5,v6)) = (a(w,v5,v6) * a(y,z,u)) \ x. (a(x,y,z) * a(x,y,z)) \ ((a(x,y,z) \ 1) \ u) = a(x,y,z) \ u. (a(x,y,z) * a(x,y,z)) \ (u \ a(x,y,z)) = u \ (a(x,y,z) \ 1). (a(x,y,z) * a(x,y,z)) * (a(x,y,z) \ u) = (a(x,y,z) \ 1) \ u. (x * y) / (a(z,u,w) * a(z,u,w)) = x * ((a(z,u,w) * a(z,u,w)) \ y). a(x,y,z) * ((a(x,y,z) * a(x,y,z)) \ u) = u * (a(x,y,z) \ 1). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z)) = u * (a(x,y,z) \ 1). L(x,y,a(z,u,w)) * (y * a(z,u,w)) = a(z,u,w) * (x * y). (a(x,y,z) * (u * (a(x,y,z) \ w))) / w = L(u,a(x,y,z) \ w,a(x,y,z)). (x / (y \ L(a(z,u,w),y,y))) * (y \ 1) = (y \ 1) * ((a(z,u,w) * (y \ 1)) \ x). L(x,y,a(z,u,x)) = x. L(x,y * y,a(z,u,w)) = x. (x \ a(y,z,u)) * (x * x) = a(y,z,u) / (x \ 1). (x * x) \ (a(y,z,u) * w) = a(y,z,u) * ((x * x) \ w). (1 / x) * (a(y,z,u) * x) = R(a(y,z,u),x,x). (a(x,y,z) * ((a(x,y,z) \ 1) \ u)) * (((a(x,y,z) \ 1) \ u) \ w) = (w / ((a(x,y,z) \ 1) \ u)) * (u * (a(x,y,z) * a(x,y,z))). (a(x,y,z) * a(x,y,z)) * (u * w) = u * (w * (a(x,y,z) * a(x,y,z))). T(a(x,y,z) * a(u,w,v5),v6) = a(u,w,v5) * a(x,y,z). x \ ((a(y,z,u) * a(y,z,u)) * w) = (x \ w) * (a(y,z,u) * a(y,z,u)). (x * (a(y,z,u) * a(y,z,u))) * T(w,x / (a(y,z,u) \ 1)) = w * (x * (a(y,z,u) * a(y,z,u))). K(x,a(y,z,u) \ w) = K(x,w). K(x,y * a(z,u,w)) = K(x,y). (T(a(x,y,z) * a(u,w,v5),v6) * v7) * T(v8,v7 * (a(u,w,v5) * a(x,y,z))) = K(a(x,y,z) * a(u,w,v5),v6) * (v8 * ((a(x,y,z) * a(u,w,v5)) * v7)). (x * a(y,z,u)) * L(u,w,v5) = a(y,z,u) * (x * L(u,w,v5)). (a(x,y,z) * u) * L(z,w,v5) = a(x,y,z) * (u * L(z,w,v5)). L(L(L(x,y,z),u,w),v5,a(v6,v7,x)) = L(L(x,y,z),u,w). a(x,y,z) \ (u * L(z,w,v5)) = (a(x,y,z) \ u) * L(z,w,v5). L(x,y,z) \ L(L(L(x,y,z),u,w),v5,a(v6,v7,x)) = L(L(x,y,z) \ L(L(x,y,z),u,w),v5,a(v6,v7,x)). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z)) = (a(x,y,z) \ 1) * u. L(a(x,y,z) \ u,a(x,y,z),a(x,y,z)) = (1 / a(x,y,z)) * u. L(x,a(y,z,u) \ 1,a(y,z,u)) = L(x,a(y,z,u),a(y,z,u)). a(x,y,z) * (u * (a(x,y,z) \ 1)) = L(u,a(x,y,z),a(x,y,z)). L((a(x,y,z) \ 1) \ u,a(x,y,z),a(x,y,z)) = u * a(x,y,z). L(x / y,y,a(z,u,w)) = (x * (a(z,u,w) \ 1)) / (y * (a(z,u,w) \ 1)). a(x,y,z) \ L(u,a(x,y,z),a(x,y,z)) = u * (a(x,y,z) \ 1). L(x \ L(x,y,a(z,u,w)),x,y * a(z,u,w)) = a(x,y,a(z,u,w)). L(x \ L(x,y,a(z,u,w)),x,a(z,u,w) * y) = a(x,y,a(z,u,w)). a(a(x,y,z),a(x,y,z) \ 1,u) = L(u,a(x,y,z),a(x,y,z)) \ u. ((x * a(y,z,u)) * (x \ (a(y,z,u) \ w))) \ w = a(x \ (a(y,z,u) \ w),x,a(y,z,u)). R(x,a(y,z,u),x) = x. L(x,a(y,z,u),x) = x. a(x,a(y,z,u),x) = 1. (a(x,y,z) \ (a(x,y,z) \ 1)) * u = u / (a(x,y,z) * a(x,y,z)). a(x,y,z) / (u \ 1) = (1 / u) \ a(x,y,z). L(x,a(y,z,u) * w,x) = L(x,w,x). (a(x,y,z) * u) * z = a(x,y,z) * (u * z). L(x,y,a(z,u,L(x,w,v5))) = x. L(R(x,y,z),u,a(w,v5,x)) = R(x,y,z). a(x,y,z) \ (u * z) = (a(x,y,z) \ u) * z. L(x * (y * x),z,a(u,w,y)) = x * (y * x). L(x \ 1,y,a(z,u,x)) = x \ 1. x * a(y,a(z,u,w),y) = x. a(x,a(y,z,u),x) \ w = w. K(x,y \ a(z,u,w)) = K(x,y \ 1). K(x,y) * ((y * a(z,u,w)) * x) = x * (y * a(z,u,w)). K(x,x \ 1) * a(y,z,u) = x * (a(y,z,u) / x). K(x,y \ K(z \ 1,z)) = K(x,y \ 1). ((x / y) * a(z,u,w)) * y = y * ((y \ x) * a(z,u,w)). T((x / y) * a(z,u,w),y) = (y \ x) * a(z,u,w). R(a(x,y,z),u,z) = a(x,y,z). (a(x,y,z) * (u * z)) * (z \ 1) = R(a(x,y,z) * u,z,z). (x * (a(y,z,u) * u)) \ (a(y,z,u) * (x * u)) = a(x,a(y,z,u),u). a(x,y,y) * (x * y) = R(x,y,y) * y. (x * y) \ (R(x,y,y) * y) = a(x,y,y). L(a(x,y,z),u,w) \ (v5 * z) = (L(a(x,y,z),u,w) \ v5) * z. a(x \ y,x,z) \ y = ((y / x) * (x * z)) / z. a(x,y,z) \ (x * y) = (x * (y * z)) / z. ((a(x,y,z) \ u) * z) \ (u * z) = a(x,y,z). a(x,y,y) \ (x * y) = x * L(y,y,x). (x * y) / ((x * (y * z)) / z) = a(x,y,z). (x * (y * z)) / z = (x * y) / a(x,y,z). (((a(x,y,z) \ u) * (a(x,y,z) * w)) / w) \ u = a(a(x,y,z) \ u,a(x,y,z),w). ((x * (y * z)) / z) \ (x * y) = a(x,y,z). a(x,y,x) \ y = x \ ((x * (y * x)) / x). (x * L(y,y,x)) \ (x * y) = a(x,y,y). (x / (y \ 1)) \ (x * y) = a(x,y,y). T((x * y) * ((x / (y \ 1)) \ 1),x / (y \ 1)) = R(a(x,y,y),x / (y \ 1),x / (y \ 1)). ((x * (1 / y)) / (y \ 1)) \ R(x,y \ 1,y) = a(x * (1 / y),y,y). T((x * y) * ((x / (y \ 1)) \ 1),x * y) = R(a(x,y,y),x / (y \ 1),x / (y \ 1)). (((x / y) * (y * z)) / z) \ x = a(x / y,y,z). (((a(x,y,z) \ u) * (w * (a(x,y,z) * a(x,y,z)))) / ((a(x,y,z) \ 1) \ w)) \ u = a(a(x,y,z) \ u,a(x,y,z),(a(x,y,z) \ 1) \ w). a(R(x,y,z),y,z) = (x * y) \ (R(x,y,z) * y). ((L(R(x,y,z),u,w) * (x * v5)) / v5) \ (x * L(R(x,y,z),u,w)) = a(L(R(x,y,z),u,w),x,v5). (a(x,y,z) \ (u * (w * a(x,y,z)))) \ (u * w) = a(u,w,a(x,y,z)). (((x / y) * (y * z)) / z) \ x = a(y \ x,y,z). (((a(x,y,z) \ u) * w) / (((a(x,y,z) \ 1) \ w) / (a(x,y,z) * a(x,y,z)))) \ u = a(a(x,y,z) \ u,a(x,y,z),(a(x,y,z) \ 1) \ w). a(R(x,y,y),y,y) = a(x,y,y). L(x,y,y \ x) \ x = a(y \ x,y,x). (a(x,y,z) \ ((u / w) * (w * a(x,y,z)))) \ u = a(w \ u,w,a(x,y,z)). x * (a(y \ x,y,x) \ 1) = L(x,y,y \ x). ((x / y) * (y * (x \ 1))) / (x \ 1) = x * (a(y \ x,y,x) \ 1). a(a(x,y,z) \ u,a(x,y,z),(a(x,y,z) \ 1) \ w) = (((a(x,y,z) \ u) * w) / (a(x,y,z) \ w)) \ u. L(x,x,a(y,z,u)) * a(y,z,u) = (1 / x) \ a(y,z,u). x * L(x \ ((1 / x) \ a(y,z,u)),w,v5) = L(a(y,z,u),w,v5) / (x \ 1). L((a(x,y,z) \ u) \ w,a(x,y,z) \ u,a(x,y,z) * a(x,y,z)) = ((a(x,y,z) \ 1) \ u) \ ((a(x,y,z) * a(x,y,z)) * w). L((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)) = ((a(x,y,z) \ 1) \ u) \ w. (a(x,y,z) * a(x,y,z)) \ (u * w) = u * ((a(x,y,z) * a(x,y,z)) \ w). (x \ a(y,z,u)) * (x * x) = (1 / x) \ a(y,z,u). x * (a(y,z,u) * ((x * x) \ w)) = x \ L(a(y,z,u) * w,x,x). (x / ((a(y,z,u) \ 1) \ w)) * (w * (a(y,z,u) * a(y,z,u))) = (w * (a(y,z,u) * a(y,z,u))) * (((a(y,z,u) \ 1) \ w) \ x). (a(x,y,z) * a(x,y,z)) * (u * (w \ 1)) = u * (w \ (a(x,y,z) * a(x,y,z))). (a(x,y,z) * a(x,y,z)) * (u * w) = u * ((a(x,y,z) * a(x,y,z)) * w). (x * (a(y,z,u) * a(y,z,u))) * T(w,(a(y,z,u) \ 1) \ x) = w * (x * (a(y,z,u) * a(y,z,u))). (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 * (a(y,z,u) * L(u,w,v5))) \ (a(y,z,u) * (x * L(u,w,v5))) = a(x,a(y,z,u),L(u,w,v5)). (a(x,y,z) * a(x,y,z)) * ((a(x,y,z) \ u) * L(z,w,v5)) = (a(x,y,z) \ 1) \ (u * L(z,w,v5)). L(L(x,y,z) \ L(L(x,y,z),u,w),v5,a(v6,v7,x)) = L(x,y,z) \ L(L(x,y,z),u,w). T(a(x,y,z) * (u / w),w) = (w \ u) * a(x,y,z). K(a(x,y,z) * a(u,w,v5),v6) * (v7 * ((a(x,y,z) * a(u,w,v5)) * v8)) = ((a(u,w,v5) * a(x,y,z)) * v8) * T(v7,v8 * (a(u,w,v5) * a(x,y,z))). L(a(x,y,z) \ u,a(x,y,z) \ 1,a(x,y,z)) = (a(x,y,z) \ 1) * u. (x * a(y,z,u)) / ((a(y,z,u) \ 1) \ L(w,a(y,z,u),a(y,z,u))) = (x * (a(y,z,u) \ 1)) / ((a(y,z,u) \ 1) * w). L(((a(x,y,z) \ 1) \ u) / w,w,a(x,y,z)) = u / (w * (a(x,y,z) \ 1)). L(L(x,y,z) \ L(L(x,y,z),x,a(u,w,v5)),L(x,y,z),x * a(u,w,v5)) = a(x,L(x,y,z),a(u,w,v5)). (a(x,y,z) \ (a(x,y,z) \ 1)) * u = (a(x,y,z) * a(x,y,z)) \ u. L(x,a(y,z,u) \ w,x) = L(x,w,x). (a(x,y,z) * u) / z = (u / z) * a(x,y,z). L(L(x,y,z),u,a(w,v5,L(x,v6,v7))) = L(x,y,z). x \ L(L(x,y,z),u,a(w,v5,L(x,v6,v7))) = L(x \ L(x,y,z),u,a(w,v5,L(x,v6,v7))). (x * y) * a(z,u,L(x,w,v5)) = x * (y * a(z,u,L(x,w,v5))). T(a(x,y,z) * (u / R(z,w,v5)),R(z,w,v5)) = R(z,w,v5) \ (a(x,y,z) * u). (a(x,y,z) * u) * (z \ 1) = (u * (z \ 1)) * a(x,y,z). a(x,y,z) * ((z \ 1) * u) = (z \ 1) * (a(x,y,z) * u). a(x,y,z) \ (u * (z \ 1)) = (a(x,y,z) \ u) * (z \ 1). L(x,y,z) * (a(u,w,L(x,v5,v6)) \ 1) = a(u,w,L(x,v5,v6)) \ L(x,y,z). L(x \ L(x,y,z),u,a(w,v5,L(x,v6,v7))) = x \ L(x,y,z). L(a(x,y,L(z,u,w)),v5,z) = a(x,y,L(z,u,w)). a(x,y,a(z,u,L(x,w,v5))) = 1. a(x,a(y,z,u),u) = a(x,u,a(y,z,u)). x * (((x * x) \ y) * a(z,u,w)) = x \ L(a(z,u,w) * y,x,x). L(x,a(y,z,u) \ w,a(y,z,u) * a(y,z,u)) = x. (x * (a(y,z,u) * a(y,z,u))) * T(w,a(y,z,u) * x) = w * (x * (a(y,z,u) * a(y,z,u))). R(x,a(y,z,u),L(u,w,v5)) = L(x,L(u,w,v5),a(y,z,u)). a(x,L(y,z,u),a(w,v5,y)) = a(x,a(w,v5,y),L(y,z,u)). K(a(x,y,z) * a(u,w,v5),v6) * (v7 * ((a(x,y,z) * a(u,w,v5)) * v8)) = ((a(u,w,v5) * a(x,y,z)) * v8) * T(v7,v8 * a(u,w,v5)). (x * (a(y,z,u) \ 1)) / ((a(y,z,u) \ 1) * w) = (x * a(y,z,u)) / (a(y,z,u) * w). L(L(x \ L(x,x,a(y,z,u)),w,v5),L(x,w,v5),x * a(y,z,u)) = a(x,L(x,w,v5),a(y,z,u)). R(x,y,z) \ (a(u,w,x) * v5) = (R(x,y,z) \ v5) * a(u,w,x). ((x * y) * (y \ 1)) * a(z,u,y) = R(a(z,u,y) * x,y,y). a(x,y,z) \ ((z \ 1) * u) = (z \ 1) * (a(x,y,z) \ u). T(a(x,y,z) \ z,z \ 1) = (z \ 1) \ (a(x,y,z) \ 1). ((x * y) * L(y \ 1,z,u)) / (y \ L(y,z,u)) = a(x,y,L(y \ 1,z,u)) * x. a(x,y,z) \ ((z \ 1) \ u) = (z \ 1) \ (a(x,y,z) \ u). R(x,y,y) * a(z,u,y) = R(a(z,u,y) * x,y,y). L(a(x,a(y,z,u),u),w,L(u,v5,v6)) = a(x,u,a(y,z,u)). x \ (y * a(z,x,a(u,w,x))) = (x \ y) * a(z,a(u,w,x),x). L(x,y,z) \ (u * a(w,x,a(v5,v6,x))) = (L(x,y,z) \ u) * a(w,a(v5,v6,x),x). L(a(x,y,a(z,u,y)),w,L(y,v5,v6)) = a(x,y,a(z,u,y)). x \ (y * a(z,x,a(u,w,x))) = (x \ y) * a(z,x,a(u,w,x)). L(x,y,z) \ (u * a(w,x,a(v5,v6,x))) = (L(x,y,z) \ u) * a(w,x,a(v5,v6,x)). (((x / L(y,z,u)) * (L(y,z,u) * a(w,v5,y))) / a(w,v5,y)) \ x = a(L(y,z,u) \ x,a(w,v5,y),L(y,z,u)). (x \ L(x,y,z)) \ ((u * x) * L(x \ 1,y,z)) = a(u,x,L(x \ 1,y,z)) * u. (a(x,y,z) \ u) \ ((a(x,y,z) * a(x,y,z)) \ w) = ((a(x,y,z) \ 1) \ u) \ w. ((a(x,y,z) \ 1) \ u) \ ((a(x,y,z) * a(x,y,z)) * w) = (a(x,y,z) \ u) \ w. L(x,y,a(z,u,w) * a(z,u,w)) = x. (x * (a(y,z,u) * a(y,z,u))) * T(w,x) = w * (x * (a(y,z,u) * a(y,z,u))). x \ L(a(y,z,x) * u,x,x) = (x \ L(u,x,x)) * a(y,z,x). K(a(x,y,z) * a(u,w,v5),v6) * (v7 * ((a(x,y,z) * a(u,w,v5)) * v8)) = ((a(u,w,v5) * a(x,y,z)) * v8) * T(v7,v8). (a(x,y,z) * a(x,y,z)) * ((a(x,y,z) \ u) * w) = ((a(x,y,z) \ 1) \ u) * w. (a(x,y,z) \ u) \ (a(x,y,z) \ (a(x,y,z) \ 1)) = ((a(x,y,z) \ 1) \ u) \ 1. (((a(x,y,z) \ 1) \ u) \ w) * (a(x,y,z) * a(x,y,z)) = (a(x,y,z) \ u) \ w. ((a(x,y,z) * a(x,y,z)) * u) \ w = u \ ((a(x,y,z) * a(x,y,z)) \ w). ((a(x,y,z) * a(x,y,z)) * u) * w = (a(x,y,z) * a(x,y,z)) * (u * w). ((a(x,y,z) * a(x,y,z)) * (u * w)) \ (((a(x,y,z) * a(x,y,z)) * u) * (w * v5)) = L(v5,L(w,u,a(x,y,z) * a(x,y,z)),(a(x,y,z) * a(x,y,z)) * u). L(x,y,y) * a(z,u,y) = L(a(z,u,y) * x,y,y). ((a(x,y,z) * a(u,w,v5)) * v6) * T(v7,v6) = v7 * ((a(u,w,v5) * a(x,y,z)) * v6). R((x * y) / y,y,L(y,z,u)) = a(x,y,L(y \ 1,z,u)) * x. L(x,y,z) \ (a(u,x,a(w,v5,x)) * v6) = (L(x,y,z) \ v6) * a(u,x,a(w,v5,x)). (a(x,y,z) \ 1) \ (u * L(z,w,v5)) = ((a(x,y,z) \ 1) \ u) * L(z,w,v5). ((a(x,y,z) * a(x,y,z)) * (u * w)) \ ((a(x,y,z) * a(x,y,z)) * (u * (w * v5))) = L(v5,L(w,u,a(x,y,z) * a(x,y,z)),(a(x,y,z) * a(x,y,z)) * u). (((a(x,y,z) * a(x,y,z)) * (u * w)) \ (u * (w * v5))) * (a(x,y,z) * a(x,y,z)) = L(v5,L(w,u,a(x,y,z) * a(x,y,z)),(a(x,y,z) * a(x,y,z)) * u). ((x * y) \ ((a(z,u,w) * a(z,u,w)) \ (x * (y * v5)))) * (a(z,u,w) * a(z,u,w)) = L(v5,L(y,x,a(z,u,w) * a(z,u,w)),(a(z,u,w) * a(z,u,w)) * x). a(x,y,L(y \ 1,z,u)) * x = R(x,y,L(y,z,u)). ((x * y) \ (x * ((a(z,u,w) * a(z,u,w)) \ (y * v5)))) * (a(z,u,w) * a(z,u,w)) = L(v5,L(y,x,a(z,u,w) * a(z,u,w)),(a(z,u,w) * a(z,u,w)) * x). a(x,y,L(y,z,u)) * x = R(x,y,L(y,z,u)). ((x * y) \ (x * (y * ((a(z,u,w) * a(z,u,w)) \ v5)))) * (a(z,u,w) * a(z,u,w)) = L(v5,L(y,x,a(z,u,w) * a(z,u,w)),(a(z,u,w) * a(z,u,w)) * x). L(x,L(y,z,a(u,w,v5) * a(u,w,v5)),(a(u,w,v5) * a(u,w,v5)) * z) = L((a(u,w,v5) * a(u,w,v5)) \ x,y,z) * (a(u,w,v5) * a(u,w,v5)). L(x,L(y,z,a(u,w,v5) * a(u,w,v5)),(a(u,w,v5) * a(u,w,v5)) * z) = L(((a(u,w,v5) * a(u,w,v5)) \ x) * (a(u,w,v5) * a(u,w,v5)),y,z). L(x,L(y,z,a(u,w,v5) * a(u,w,v5)),(a(u,w,v5) * a(u,w,v5)) * z) = L(T(x,a(u,w,v5) * a(u,w,v5)),y,z). L(x,L(y,z,a(u,w,v5) * a(u,w,v5)),(a(u,w,v5) * a(u,w,v5)) * z) = L(T(x,a(u,w,v5)),y,z). L(x,L(y,z,a(u,w,v5) * a(u,w,v5)),(a(u,w,v5) * a(u,w,v5)) * z) = L(x,y,z). L(x,y,(a(z,u,w) * a(z,u,w)) * v5) = L(x,y,v5). L(x,y,z * (a(u,w,v5) * a(u,w,v5))) = L(x,y,z). L(x,y,z * (u * (a(w,v5,v6) * a(w,v5,v6)))) = L(x,y,u * z). L(x,y,a(z,u,w) \ 1) = L(x,y,a(z,u,w)). (x * (a(y,z,u) \ 1)) \ (((x * (a(y,z,u) \ 1)) / x) * w) = L(x \ w,x,a(y,z,u)). L((a(x,y,z) \ (u * (w * a(x,y,z)))) \ v5,a(x,y,z) \ (u * (w * a(x,y,z))),a(x,y,z)) = (u * ((a(x,y,z) \ 1) * w)) \ ((a(x,y,z) \ 1) * v5). L(x \ a(y,z,u),x,a(y,z,u)) = (x * (a(y,z,u) \ 1)) \ 1. L((a(x,y,x * y) \ 1) \ z,x * y,a(x,y,x * y)) = (x * y) * (L(x * y,y,x) \ z). L(x \ ((a(y,z,u) \ 1) \ w),x,a(y,z,u)) = ((a(y,z,u) \ 1) * x) \ w. ((a(x,y,z) \ 1) * u) * L(w,u,a(x,y,z)) = (a(x,y,z) \ 1) * (u * w). L(((a(x,y,z) \ 1) \ u) / w,w,a(x,y,z)) * w = w * (((a(x,y,z) \ 1) * w) \ u). L(x \ y,x,a(z,u,w)) = (x * (a(z,u,w) \ 1)) \ ((a(z,u,w) \ 1) * y). (x * ((a(y,z,u) \ 1) * w)) \ ((a(y,z,u) \ 1) * v5) = (x * (w * a(y,z,u))) \ (a(y,z,u) * v5). ((a(x,y,z) * u) \ w) * (a(x,y,z) * a(x,y,z)) = ((a(x,y,z) \ 1) * u) \ w. L(x \ (a(y,z,u) \ (w * (v5 * a(y,z,u)))),x,a(y,z,u)) = ((a(y,z,u) \ 1) * x) \ (w * (v5 * (a(y,z,u) \ 1))). L(x \ (a(y,z,u) * w),x,a(y,z,u)) = ((a(y,z,u) \ 1) * x) \ L(w,a(y,z,u),a(y,z,u)). (x / (y * (a(z,u,w) \ 1))) * y = y * (((a(z,u,w) \ 1) * y) \ x). (x * (a(y,z,u) \ 1)) \ ((a(y,z,u) \ 1) * w) = (a(y,z,u) * x) \ (w * a(y,z,u)). ((x * a(y,z,u)) \ w) * (a(y,z,u) * a(y,z,u)) = ((a(y,z,u) \ 1) * x) \ w. ((a(x,y,z) \ 1) * u) \ (w * (v5 * (a(x,y,z) \ 1))) = (a(x,y,z) * u) \ (w * (v5 * a(x,y,z))). (x * a(y,z,u)) * (((a(y,z,u) \ 1) * x) \ w) = w * (a(y,z,u) * a(y,z,u)). ((a(x,y,z) \ 1) * u) \ (u * (w * (a(x,y,z) \ 1))) = L(w,a(x,y,z),u). (a(x,y,z) * u) \ (w * ((a(x,y,z) \ ((a(x,y,z) \ 1) \ v5)) * a(x,y,z))) = ((a(x,y,z) \ 1) * u) \ (w * (a(x,y,z) \ v5)). L(x,a(y,z,u) \ 1,w) = L(x,a(y,z,u),w). L((a(x,y,z) \ 1) \ u,a(x,y,z),w) = ((a(x,y,z) \ 1) * w) \ (w * u). ((a(x,y,z) \ 1) * u) \ (w * (a(x,y,z) \ v5)) = (a(x,y,z) * u) \ (w * ((a(x,y,z) \ 1) \ v5)). L((a(x,y,z) \ 1) \ (u \ w),a(x,y,z),u) = (u * (a(x,y,z) \ 1)) \ w. ((a(x,y,z) \ 1) * u) * L(w,a(x,y,z),u) = u * (T(a(x,y,z) \ 1,u) * w). ((a(x,y,z) \ 1) * u) * L(w,a(x,y,z),u) = u * ((a(x,y,z) \ 1) * w). R(x \ y,x,x) \ ((((x \ y) * x) * (x \ 1)) / z) = ((x \ 1) * y) \ (((x \ 1) * y) / z). R(x \ y,x,x) \ (R(x \ y,x,x) / z) = ((x \ 1) * y) \ (((x \ 1) * y) / z). K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. (x / (x / y)) * z = y * (K(y \ x,y) * z). (x / (x / y)) * x = y * ((y \ x) * y). T(x / (x / y),x) = L(y,y \ x,y). 1 / (x * K(y,x)) = K(x,y) / x. (x * K(y \ 1,z)) / x = K(((x * y) / x) \ 1,z). (x * y) * (y * T(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)) / y = (x / y) * K(y \ 1,z). (x * K((x \ y) \ 1,z)) / x = K((y / x) \ 1,z). (x * K(y \ 1,z)) / (((y * x) * K(y \ 1,z)) / y) = K(x,y). (x / ((y * z) / y)) * z = x / K(y,z). T(K((x * (y * z)) / (x * y),u),x * (y * z)) = (x * (y * z)) \ (x * (y * T(z,u))). (x * ((y * z) / y)) / K(y,z) = x * z. (x * y) * K(z,y) = x * ((z * y) / z). (x * (y \ z)) * K(y,y \ z) = x * (z / y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). (x * K(y,y \ z)) / (z / y) = x / (y \ z). ((x * y) * (z / u)) / ((y * (u \ z)) * K(u,u \ z)) = R(R(x,y,u \ z),y * (u \ z),K(u,u \ z)). (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). (x * (y / z)) / (z \ y) = x * K(z,z \ y). (x / (y / z)) * K(z,z \ y) = x / (z \ y). (x * K(y,y \ 1)) \ R(x,y \ 1,y) = a(x * (1 / y),y,y). (T(x,y) \ 1) * (x \ T(x,y)) = x \ 1. (T(x,y) \ 1) * K(x,y) = x \ 1. K(((x * y) \ x) \ 1,z) = K(y,z). (x * K(y \ x,z)) / x = K((y / x) \ 1,z). T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). K(x / y,z) * x = x * K(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). x \ T(x * y,z) = y * K((x \ 1) \ y,z). T(K(x / y,z),x) = K(y \ x,z). K((x \ y) \ y,z) = T(K(x,z),y). x \ (T(a(y,z,u) \ x,w) * a(y,z,u)) = K(a(y,z,u) \ x,w). T(a(x,y,z) \ u,w) * a(x,y,z) = T(u,w). T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). x \ T(x * y,z) = y * K(x * y,z). x * (y * K(x * y,z)) = T(x * y,z). T(x * y,z) / y = x * K(y * x,z). L(x * K(y * x,z),y,z) = (z * y) \ ((y * x) * z). a(x,y,z) \ T(u * a(x,y,z),w) = u * K(a(x,y,z) * u,w). T(x \ T(x * y,y),x * y) = y. (x \ L(x,y,z)) \ T((x \ L(x,y,z)) * u,w) = u * K(u * (x \ L(x,y,z)),w). x * ((y * K(x \ 1,x)) * K((1 / (1 / x)) * y,z)) = T(x * (y * K(x \ 1,x)),z). (L(x,y,z) \ x) * (u * K((L(x,y,z) \ x) * u,w)) = T(u * (L(x,y,z) \ x),w). a(x,y,z) \ T(u * a(x,y,z),w) = u * K(u,w). T(x \ T(x * ((y \ L(y,z,u)) * (y \ L(y,w,v5))),(y \ L(y,z,u)) * (y \ L(y,w,v5))),x * ((y \ L(y,z,u)) * (y \ L(y,w,v5)))) = L(y,z,u) * L(y \ 1,w,v5). K(x / (x / y),z) * x = x * K(y,z). K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). K(T(x,x \ y),z) = T(K(x,z),y). T(K(x,y),x * z) = K(T(x,z),y). T(K(x,y),L(x,z,u)) = K(x,y). T(K(x,y),z * x) = K(T(x,z),y). (x * y) * K(T(x,y),z) = T(x,z) * y. x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). (L(x,y,z) \ x) * (u * K(x * (L(x,y,z) \ u),w)) = T(u * (L(x,y,z) \ x),w). x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). T(x \ T(x * (L(y,z,u) * L(y \ 1,w,v5)),(y \ L(y,z,u)) * (y \ L(y,w,v5))),x * ((y \ L(y,z,u)) * (y \ L(y,w,v5)))) = L(y,z,u) * L(y \ 1,w,v5). x * K(x * (y \ L(y,z,u)),w) = y * (L(y,z,u) \ T(L(y,z,u) * (y \ x),w)). T(x \ T(x * (L(y,z,u) * L(y \ 1,w,v5)),L(y,z,u) * L(y \ 1,w,v5)),x * ((y \ L(y,z,u)) * (y \ L(y,w,v5)))) = L(y,z,u) * L(y \ 1,w,v5). K(x * y,z) * x = x * K(y * x,z). T(K(x * y,z),x) = K(y * x,z). T(x * K(y * x,z),y) = y \ T(x * y,z). T(x * K((y * a(z,u,w)) * x,v5),y * a(z,u,w)) = (y * a(z,u,w)) \ T((a(z,u,w) * y) * T(x,y),v5). a(x,y,z) \ T(u * a(x,y,z),w) = T(u,w). a(x,y,z) * T(u,w) = T(u * a(x,y,z),w). x * ((y * K(x \ 1,x)) * K(x * y,z)) = T(x * (y * K(x \ 1,x)),z). T(x * K(y * (a(z,u,w) * x),v5),y * a(z,u,w)) = (y * a(z,u,w)) \ T((a(z,u,w) * y) * T(x,y),v5). a(x,y,z) \ T(u,w) = T(a(x,y,z) \ u,w). T(x,y) * a(z,u,w) = T(x * a(z,u,w),y). x * (a(y,z,u) \ T(w,x)) = (a(y,z,u) \ w) * x. a(x,y,z) * T(u,w) = T(a(x,y,z) * u,w). T(x,y) * (a(z,u,w) \ 1) = T(x * (a(z,u,w) \ 1),y). T(a(x,y,z) * (u * w),K(w,u)) = a(x,y,z) * (u * w). T(x * a(y,z,u),x * x) = L(x,x,x) * a(y,z,u). T((x * K(y,x)) * a(z,u,w),y * x) = L(x,y,x) * a(z,u,w). (a(x,y,z) \ 1) * T(u,w) = T(u * (a(x,y,z) \ 1),w). T(x * (K(y,x) * a(z,u,w)),y * x) = L(x,y,x) * a(z,u,w). x * K((x \ (y \ x)) \ 1,z) = K(y,z) * x. T(K(x,y),z) = K(T(x,z),y). T(K(x,y),x * z) = T(K(x,y),z). (K(x,y) * z) * K(T(y,z),x) = z. x * K(T(y,x),z) = K(y,z) * x. T(K(x,y),K(z,x)) = K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x / y,z) * y = y * K(y \ x,z). K(x,y) * (L(z,u,w) \ z) = (L(z,u,w) \ z) * K(x,y). L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). ((x * R(y,z,u)) * y) / (x * R(y,z,u)) = y * K(R(y,z,u) * x,y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(R(y,z,u) * x,y). T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(x,y,z)). L(x,y,R(T(z,u),w,v5) \ v6) = L(x,y,R(z,w,v5) \ v6). K(R(x,y,R(x,z,u)),y * R(x,z,u)) * (T(x,y) \ w) = R(x,y,R(x,z,u)) \ w. K(x,y) * (R(T(x,y),z,u) \ w) = R(x,z,u) \ w. K(x,y) * (R(y,z,u) \ w) = R(T(y,x),z,u) \ w. K(x,x * y) * (T(x,y) \ z) = R(x,y,x) \ z. K(x,y) * ((R(y,z,u) \ w) * v5) = (R(T(y,x),z,u) \ w) * v5. T(K(x \ 1,y),z) = K(T(x,z) \ 1,y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. K(x,(a(y,z,u) / w) * v5) = K(x,(w \ a(y,z,u)) * v5). K(x,(y \ a(z,u,w)) * v5) = K(x,a(z,u,w) * (y \ v5)). K(x,(y \ a(z,u,w)) * v5) = K(x,y \ v5). ((a(x,y,z) \ u) \ w) * K(u,u \ w) = w / (a(x,y,z) \ u). (a(x,y,z) \ u) \ K(u,u \ 1) = 1 / (a(x,y,z) \ u). K(R(x,y,z),u * R(x,w,v5)) = K(x,R(x,w,v5) * u). K(x,R(x,y,z) * u) * (T(x,u) \ w) = R(x,u,R(x,y,z)) \ w. R(x,y,R(x,z,u)) \ w = K(x,x * y) * (T(x,y) \ w). R(K(x,T(y,z)),T(T(y,x),z),K(z,T(y,x))) = (T(y,z) * K(z,T(y,x))) / T(y,x). (T(x,y) * K(y,T(x,z))) / T(x,z) = K(z,T(x,y)). R(x,y,R(x,z,u)) = R(x,y,x). (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). R(1 / x,x,(x \ y) / y) = x \ 1. R(1 / x,x,y / (x * y)) = x \ 1. (x \ 1) \ (y / (x * y)) = x * (y / (x * y)). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). (x \ K(y,x \ 1)) * y = y * (x \ 1). ((x * y) / x) \ z = K(y,x) * (y \ z). L(R(x,y,x),y,R(x,y,x)) = x. L(x,y,R(z,u,z)) = L(x,y,z). (1 / x) * K(x,y) = K(x,y) / x. K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). K(L(x,y / x,z),u) = L(K(x,u),y,z). L(K(x,y),z,x) = K(x,y). L(K(x,y),z * x,u) = K(L(x,z,u),y). (x * y) * K(x,z) = x * (y * K(x,z)). R(x,y,K(x,z)) = x. R(T(x,y),z,K(x,u)) = T(x,y). (x * y) / T(y,z) = x * K(z,y). (x / y) * K(z,y) = x / T(y,z). (x / T(y,z)) * y = x * K(z,y). (x * K(y,z)) / z = x / T(z,y). (x \ y) * K(z,T(x,x \ y)) = y / T(T(x,x \ y),z). (x * T(y,z)) * K(z,y) = x * y. L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). ((x / y) * T(y,z)) \ x = K(z,y). (x * T(x \ y,z)) \ y = K(z,x \ y). (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). (K(x,y) / x) * K(y,x) = 1 / x. ((x / y) * K(z,y)) * y = x * K(z,y). x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). x / ((y \ z) \ z) = (x / y) * K(y \ z,y). (x * (y * T(y \ (x \ z),u))) \ z = K(u,y \ (x \ z)). (L(1 / x,x,y) * K(z,x)) * x = (x * ((y * x) \ y)) * K(z,x). ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). (x * (y \ T(y * (x \ z),u))) \ z = K(u,(y \ 1) \ (x \ z)). (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). (x * (y \ T(y * (x \ z),u))) \ z = K(u,y * (x \ z)). (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. R(x,1 / x,y) \ y = (x \ 1) * y. R(x,1 / x,y) = R(x,x \ 1,y). K(x,x \ 1) * (y / ((1 / x) * y)) = R(x,x \ 1,y). (x * (y * z)) \ (x * (y * T(z,u))) = K((x * y) \ (x * (y * z)),u). (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). (x * y) \ (x * T(y,z)) = K(y,z). (x * y) * K(y,z) = x * T(y,z). (x / y) * T(y,z) = x * K(y,z). (x * T(y,z)) / z = (x * y) / T(z,y). (x * T(y,z)) / y = x * K(y,z). (x / T(y,z)) * K(y,z) = x / y. (x * K(y,z)) * y = x * T(y,z). ((x * y) * (y \ z)) * K(z,u) = R(x,y,y \ z) * T(z,u). x \ (y * T(x,z)) = T(y * K(x,z),x). (x * K(y,z)) \ x = K(z,y). K(x,y) * (z * T(y,x)) = T(z * y,K(y,x)). (x * T(y,z)) * T(z,y) = (x * y) * z. (x * (y / z)) * K(y / z,z) = x * (z \ y). ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). x / K(y,z) = x * K(z,y). (x * K(y,z)) * K(z,y) = x. x * K(y * (z \ x),u) = z * (y \ T(y * (z \ x),u)). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). (x / y) * y = (x * K(z,u)) * K(u,z). L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). x * K(y,z) != u | u * K(z,y) = x. (K(x,y) * z) * K(y,T(x,z)) = z. x * K(y,T(z,x)) = K(y,z) * x. (x / (y \ z)) * K(y \ z,y) = x / (z / y). T(x,K(y,z)) * K(z,y) = K(z,y) * x. (x * y) \ (L(z * K(y,x),u,w) * K(x,y)) = (y * x) \ L(K(x,y) \ z,u,w). T(x * K(y,z),K(z,y)) = K(y,z) * x. (x * K(y \ z,y)) * (z / y) = x * (y \ z). (x * K(y \ z,y)) / (y \ z) = x / (z / y). (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). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). (x * K(y,z)) * y = (x * y) * K(y,z). (x * K(y,z)) \ ((x * y) * K(y,z)) = y. (x * ((y * z) / y)) * y = (x * z) * T(y,z). (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. (x * y) / T(a(z,u,w) * x,y) = (y * x) / (a(z,u,w) * x). ((a(x,y,z) \ u) * w) / T(u,w) = (w * (a(x,y,z) \ u)) / u. R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). T(x,K(y,z)) * y = T(x * y,K(y,z)). R(R(x,y,z),y * z,K(z,z \ u)) = R(x,y,(z \ u) \ u). T(T(x,K(y,z)),K(z,y)) = x. x * K(K(y,z),x) = T(x,K(z,y)). (x / ((y \ z) \ z)) / (y \ z) = (x / y) / (z / y). ((a(x,y,z) \ 1) * (u / w)) * w = w * ((w \ u) * (a(x,y,z) \ 1)). T((x / y) / (z / y),y \ z) = (y \ z) \ (x / ((y \ z) \ z)). L(x,1 / x,(1 / x) \ (y / x)) = (y / x) \ ((y / ((x \ 1) \ 1)) / (x \ 1)). (((a(x,y,z) \ 1) * ((u * w) / u)) * u) / (T(u,w) * (a(x,y,z) \ 1)) = R(w,a(x,y,z) \ 1,T(u,w)). (x \ 1) \ (y / ((x \ 1) \ 1)) = (1 / x) \ (y / x). L(x,1 / x,(1 / x) \ (x \ y)) = (y / x) \ ((y / ((x \ 1) \ 1)) / (x \ 1)). K(K(x,y),z) = K(z,K(y,x)). T(T(x,K(y,z)),K(z,y)) != u | u = x. K(x,K(y,z)) \ 1 = K(x,K(z,y)). K(x,y) * K(z,K(y,x)) = T(K(x,y),z). K(x,K(y,z)) != u | K(K(z,y),x) = u. K(x,y) * K(z,K(y,x)) = K(T(x,z),y). ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. L(x,1 / x,(x \ 1) \ (x \ y)) = (y / x) \ ((y / ((x \ 1) \ 1)) / (x \ 1)). (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. L(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((y / ((x \ 1) \ 1)) / (x \ 1)). (x \ ((y \ (x * z)) * y)) * u = (z * K(x * (y \ z),y)) * u. (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. T(K(x,y),z) = K(x,T(y,z)). K(x,y) * (z * K(y,T(x,z))) = z. K(T(x,y),z) = K(x,T(z,y)). K(x / y,T(z,y)) = K(y \ x,z). K(x * y,T(z,x)) = K(y * x,z). K(x / y,T(z,x)) = K(y \ x,z). x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. K(x,y / z) * z = z * K(x,z \ y). K(x,y / z) * y = y * K(x,z \ y). x / T(T(y,y \ x),z) = T(y,z) \ x. x / T((y \ x) \ x,z) = T(y,z) \ x. T(x / (x / y),z) \ x = x / T(y,z). x / (x / T(y,z)) = T(x / (x / y),z). T(x / (x / (y * K(z,y))),z) = x / (x / y). T(1 / (K(x,y) / x),y) = 1 / (1 / x). (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). K(x,(y \ z) \ z) = T(K(x,y),z). K(x,T(y,y \ z)) = T(K(x,y),z). T(K(x,y * z),y) = K(x,z * y). T(K(x,y / z),y) = K(x,z \ y). T(K(x,y),y * z) = K(x,T(y,z)). T(K(x,y),z * y) = K(x,T(y,z)). x * T(K(x,y),z) = T(x,T(y,z)). K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). T(K(x,y),x * z) = K(x,T(y,z)). K(x,T(y,L(x,z,u))) = K(x,y). a(x,y,z) \ K(u,T(w,v5)) = T(a(x,y,z) \ K(u,w),v5). x * K(T(x,y),z) = T(x,T(z,y)). T(K(x,y),z * x) = K(x,T(y,z)). K(x,T(y,x \ z)) = T(K(x,y),z). K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). K((x \ y) \ y,z) = K(x,T(z,x \ y)). K((x * y) / x,T(z,x)) = K(y,z). K(T(x,y),K(y,z)) = K(x,K(y,z)). K(x * y,K(y,z)) = K(y * x,K(y,z)). K(x \ 1,y * x) = K(x \ 1,x * y). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). R((x \ (y / (1 / z))) * x,z \ 1,z) = (y * K((1 / z) \ (x \ y),x)) * z. (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. R((x \ (y / (1 / z))) * x,z \ 1,z) = (y * K(z * (x \ y),x)) * z. (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. (x * (a(y,z,u) \ w)) / w = w \ ((a(y,z,u) \ w) * x). L(x,a(y,z,u),a(y,z,u) \ w) * w = (x * a(y,z,u)) * (a(y,z,u) \ w). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. ((((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) \ u) * (((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) = (((y \ (z * (x \ 1))) * y) \ u) * (((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) * (x \ 1)). ((((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) \ u) * (((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) = (((y \ (z * (x \ 1))) * y) \ u) * ((y \ (z * (x \ 1))) * y). R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). K(x,K(K(x,y),z)) = 1. x * K(y,(z \ x) \ x) = K(z,y) \ x. K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). x * T(K(x,y),z) = T(x,T(y,x \ z)). T(x,T(y,y \ z)) = x * T(K(x,y),z). T(K(x,y),T(y,z) * u) = K(x,T(y,K(y,z) * u)). T(K(x,y),z * y) = T(K(x,y),z). x * T(y,T(x,z)) = T(y * x,K(x,z)). T(T(x,K(y,z)),y) = T(x,T(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z)). T((x * y) / x,T(x,z)) = T(y,K(x,z)). T(T(x,y),K(y,z)) = T(x,T(y,y \ z)). T(x,y) \ T(x,T(y,z)) = K(T(x,y),K(y,z)). T(x,K(K(x,y),z)) = x. T(x,K(y,K(z,x))) = x. T(x,T(y,K(z,x))) = T(x,y). T(x,K(x,y) * (z * K(y,x))) = T(x,z). T(x,T(y,K(x,z))) = T(x,y). K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). T(x,y) \ T(x,T(y,z)) = K(x,K(y,z)). K(x,y) * K(y,T(x,z)) = K(y,K(x,z)). K(x,K(y,z)) = K(z,K(y,x)). K(K(x,y),z) = K(x,K(y,z)). x * K(y,K(z,x)) = T(x,K(z,y)). K(x,K(y,z)) * z = T(z,K(y,x)). K(x,K(y,z)) \ 1 = K(z,K(x,y)). K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. K(K(x,y),z) = K(y,K(z,x)). K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(x,K(z,y)). K(x,K(y,z)) = K(z,K(x,y)). K(x,K(y,z)) * (y * u) = T(y,K(x,z)) * u. x * K(y,K(z,x)) = T(x,K(y,z)). K(x,K(y,z)) * z = T(z,K(x,y)). K(K(x,y),z) = K(z,K(x,y)). K(x,K(y,z)) = K(x,K(z,y)). K(x,K(y,T(z,x))) = K(z,K(x,y)). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. K(x,y) * K(y,T(x,z)) = K(z,K(y,x)). K(x,K(y,z)) * y = T(y,K(z,x)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). x * K(x,K(y,z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(z,y)). (x * y) \ (K(x,K(z,u)) * w) = (T(x,K(z,u)) * y) \ w. K(x,y) * T(z,K(y,x)) = z * K(x,y). T(x,K(y,z)) != u | T(x,K(z,y)) = u. T(x,K(y,z)) * K(y,z) = K(y,z) * x. T(T(x,K(y,z)),K(y,z)) = x. T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). x * T(y,T(x,z)) = T(y * x,K(z,x)). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). K(x,y) * (z * K(y,x)) = T(z,K(x,y)). T(T(x,y),K(z,y)) = T(x,T(y,z)). T(x * K(y,z),K(y,z)) = K(y,z) * x. K(x,y) * R(T(z,K(y,x)),u,w) = R(z,u,w) * K(x,y). (x * K(y,z)) / x = T(K(y,z),x). K(x,y) * ((z * K(y,x)) * u) = T(z,K(x,y)) * u. K(x,y) * (y * (z * K(y,x))) = T(y * z,K(x,y)). T(T(x,y \ 1),K(z,y \ 1)) = T(x,T(y,z) \ 1). R(K(x,y) * T(z,K(y,x)),u,w) = R(z,u,w) * K(x,y). (x * K(y,z)) / x = K(y,T(z,x)). K(x,y * z) * z = z * K(x,z * y). K(x,T(y,z)) * z = z * K(x,y). K(T(x,y),z) * y = y * K(x,z). K(x * y,z) * y = y * K(y * x,z). K(x \ y,z) * x = x * K(y / x,z). K(((x * y) / x) \ 1,z) = K(y \ 1,T(z,x)). T(K(x,T(y,z)),z) = K(x,y). T(K(x,T(y,z)),z) != u | K(x,y) = u. (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). K(x,T(y \ z,z)) = K(x,z / y). K(x,T(y \ z,y)) = K(x,z / y). K(x \ y,T(z,x)) = K(y / x,z). K(x * y,T(z,y)) = K(y * x,z). K(x \ y,T(z,y)) = K(y / x,z). K(x,T(T(y,z),z)) = K(x,y). K(T(x,y),T(z,y)) = K(x,z). T(K(T(x,y),z),y) = K(x,z). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). x \ (K(y,T(z,x)) * u) = (x * K(z,y)) \ u. K(x / y,y / z) = K(y \ x,z \ y). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K((x * y) / x,z) = K(y,T(z,x)). x * (y * K(y * x,z)) = T(x * y,T(z,y)). K(x,T(y,z)) * (z * x) = z * T(x,y). K(x / (y / z),y / u) = K(y \ (x * z),u \ y). K(x,T(y,z)) * ((z * x) * u) = (z * T(x,y)) * u. K(x,T(y,z)) * (x \ (z * x)) = x \ (z * T(x,y)). R(x,y,z) * K(u,w) = R(x * K(u,w),y,z). K(x \ (y * z),u \ x) = K(y * (z / x),x / u). L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). K(x \ K(x,y),z) = K(x \ 1,T(z,y)). K(L(x,y / T(x,z),u),w) = K((u * (y / T(x,z))) \ (u * y),T(w,z)). K((x * (y / T(z,T(u,K(z,w))))) \ (x * y),T(v5,T(u,K(z,w)))) = K(L(z,y / T(z,u),x),v5). K((x * (y / T(z,u))) \ (x * y),T(w,T(u,K(z,v5)))) = K(L(z,y / T(z,u),x),w). L(K(T(x,y),T(z,T(y,K(x,u)))),w,v5) = K(L(x,w / T(x,y),v5),z). L(K(x,T(T(y,T(z,K(x,u))),z)),w,v5) = K(L(x,w / T(x,z),v5),y). T(K(T(x,y),T(z,y)),u) = K(x,T(z,T(z,y) \ u)). x * K(T(x,y),y \ z) = T(x,z / y). K(x \ K(x,y),T(z,y)) = K(x \ 1,z). K(x,K(y,T(z,x))) = K(x,K(z,y)). K(x,K(y \ K(y,x),z)) = K(x,K(z,y \ 1)). K(x,K(y,z)) * (y * K(T(y,x),u)) = T(K(x,y),z) * T(T(y,x),u). T(K(x,y),z) * T(T(y,x),u) = T(y,K(x,z)) * K(T(y,x),u). K(x,T(y,T(y,z) \ u)) = T(K(x,y),u). T(K(x,y),T(y,z) * u) = K(x,T(y,u)). K(x,T(y,K(y,z) * u)) = K(x,T(y,u)). x * (K(y,x) * (z * K(x,y))) = T(x * z,K(y,x)). K(x * y,K(x,z)) = K(y,K(x,z)). K(x * y,K(y,z)) = K(x,K(y,z)). K(x,K(y,z * x)) = K(z,K(x,y)). K(x,K(y,z * y)) = K(z,K(y,x)). K(x,K(y,z * y)) = K(z,K(x,y)). K(x,K(y,z * y)) = K(y,K(x,z)). K(x,K(y,z * y)) = K(x,K(y,z)). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x,K(y,z * x)) = K(x,K(y,z)). K(x,K(y,z * x)) = K(x,K(z,y)). K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). x * K(x,K(y,z)) = T(x,K(z,y * x)). T(x,K(y,z * x)) = T(x,K(z,y)). K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ K(y,z),T(x,z)). K(x \ y,z) * K(z,y / x) = K(x,K(z,x \ y)). K(x \ y,z) * K(z,y / x) = K(z,K(x,x \ y)). K(x,y / z) * K(z \ y,x) = K(x,K(z,z \ y)). K(x,y / z) * K(z \ y,x) = K(x,K(z,y)). K(x,y / z) * K(z \ y,x) = K(x,K(y,z)). K(x,y \ K(y,z)) * K(y \ 1,x) = K(z,K(x,y \ 1)). K(x,(y / z) \ 1) * K((z \ y) \ 1,x) = K(z,K(x,(z \ y) \ 1)). K(x,(y / z) \ 1) * K((z \ y) \ 1,x) = K(z,K(x,y \ z)). K(x,(y / z) \ 1) * K((z \ y) \ 1,x) = K(x,K(z,y \ z)). K(x,y / z) * K((y \ z) \ 1,x) = K(x,K(y,z \ y)). K(x,y / z) * K(z \ y,x) = K(x,K(y,z \ y)). K(x,K(y,z \ y)) = K(x,K(y,z)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x,K(y,z \ 1)) = K(z,K(x,y)). K(x,K(y \ 1,z)) = K(y,K(x,z)). K(x,K(y \ 1,z)) = K(x,K(y,z)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z)). T(K(x,y),z \ 1) = K(x,T(y,z)). K(x,T(y,z \ y)) = K(x,T(y,z)). T(K(x,y),z \ u) = K(x,T(y,u \ z)). L(K(x,T(T(y,z),z)),u,w) = K(L(x,u / T(x,z),w),y). K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). T(x,y * K(x,z)) = T(x,y). T(K(x,y),z / y) = T(K(x,y),z). T(K(x,L(T(y,y \ z),y \ z,u)),u * (y \ z)) = T(K(x,L(T(y,y \ z),y \ z,u)),u * z). T(K(x,L(T(y,y \ z),y \ z,u)),u * z) = T(K(x,(u * (y \ z)) \ (u * z)),u * (y \ z)). T(x,K(x,y) * z) = T(x,z). T(x,T(x,y) * z) = T(x,x * z). T(K(x,(y * (z \ u)) \ (y * u)),y * (z \ u)) = T(K(x,L(T(z,u),z \ u,y)),y * u). K(x,T((y * (z \ u)) \ (y * u),y * (z \ u))) = T(K(x,L(T(z,u),z \ u,y)),y * u). T(K(x,L(T(y,z),y \ z,u)),u * z) = K(x,(u * z) / (u * (y \ z))). T(K(x,L(T(y,z),y \ z,u)),u * z) = K(x,u / ((u * (y \ z)) / z)). T(K(x,y),z) * T(y,x) = T(y,K(x,z)). K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). K(x,T(y,z)) * T(y,x) = T(y,K(x,y * z)). K(x,T(y,z)) * T(y,x) = T(y,K(x,x * z)). K(x,T(y,z)) * T(y,x) = T(y,K(x,z * x)). T(x,K(y,z * y)) = T(x,K(y,x * z)). T(x,K(y,y * z)) = T(x,K(y,z)). K(x,T(y,z)) * (x \ (z * x)) = T(z * K(x,y),x). K(x,T(y,z)) * T(z,x) = T(z * K(x,y),x). K(x,T(y,z)) * T(y,x) = T(y * K(x,T(y,z)),x). T(x,y) * K(y,T(x,z)) = T(x * K(y,T(x,z)),y). T(x * K(y,T(x,z)),y) = T(x,K(y,x * z)). T(x * K(y,T(x,z)),y) / T(x,z) = K(z,T(x,y)). T(x,K(y,x * z)) / T(x,z) = K(z,T(x,y)). x * T(y,K(z,x)) = T(x * y,K(z,x)). x * T(x \ y,K(z,x)) = T(y,K(z,x)). K(x,T(y,z * K(u,y))) = K(x,T(y,z)). K(x,T(y,z \ T(y,u))) = K(x,T(y,z \ y)). K(x,T(y,z \ y)) * (z \ T(y,u)) = (z \ T(y,u)) * K(x,y). K(x,T(y,z)) * (z \ T(y,u)) = (z \ T(y,u)) * K(x,y). K(x,T(y,z)) * T(y,x) = T(y,K(z,y * x)). T(x,K(y,x * z)) = T(x,K(z,y)). T(x,K(y,z * y)) = T(x,K(z,y)). T(x,K(y,y * z)) = T(x,K(z,y)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(x * K(y,y \ z),K(y,z)) = K(y,y \ z) * x. (x * y) \ T(z * (x * y),K(x,y)) = T(z,T(x * y,y)). x * T(x \ y,K(x,z)) = T(y,K(z,x)). x * K(x,T(y,z \ u)) = T(x,T(y,x \ (u \ z))). T(x,T(y,x \ (z \ u))) = T(x,T(y,u \ z)). T(x,T(y,x \ (z \ 1))) = T(x,T(y,z)). T(T(x,y),K(y,z)) = x * T(K(x,y),z). T(T(x,y),K(z,y)) = x * T(K(x,y),z). x * T(K(x,y \ 1),z) = T(x,T(y,z) \ 1). T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,T(y \ z,y)) = T(x,z / y). T(x,(y * z) / y) = T(x,T(z,y)). T(x * (y \ z),K(y,y \ z)) = (y \ z) * T(x,z / y). T(x,T(y * z,z)) = T(x,z * y). (x * y) * T(z,y * x) = T(z * (x * y),K(x,y)). K(x,y) * (z * (y * x)) = T(z * (x * y),K(x,y)). (x * T(y,(z \ R(z,u,w)) * x)) \ T(y * (x * (z \ R(z,u,w))),K(x,z \ R(z,u,w))) = R(z \ R(z,u,w),x,T(y,(z \ R(z,u,w)) * x)). (x * (y * z)) * K(z,y) = x * (z * y). R(x,y * z,K(z,y)) = x. (x * K(y,z)) / (y * z) = x / (z * y). (x * (y * z)) \ (x * (z * y)) = K(z,y). (x * (y * z)) / T(y,z) = (x * (z * y)) / y. (x * y) * K(z \ y,z) = x * ((z \ y) * z). ((x * y) * z) * K(z,y) = R(x,y,z) * (z * y). T(x * (y * z),K(z,y)) \ u = (x * (z * y)) \ (K(z,y) * u). K(x,K(y,x) * z) = K(x,z). T(x,y) / (x * y) = x / (y * x). (x * T(y,z)) / (y * z) = (x * y) / (z * y). R(x,y,z) * (z * y) = (x * y) * T(z,y). T(x,y) / (x * y) = R(1 / y,y,x). R(x,y,T(z,y)) = R(x,y,z). K(x,K(x,y) * z) = K(x,z). K(x,y * K(z,x)) = K(x,y). (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 / y) = R(x,y,y \ z). K(x,y * K(x,z)) = K(x,y). K(x,y \ K(z,x)) = K(x,y \ 1). K(x,y * K(x,z)) = K(y,x) \ 1. ((a(x,y,z) * a(x,y,z)) \ (u * w)) / T(u,w) = ((a(x,y,z) \ (a(x,y,z) \ 1)) * (w * u)) / u. (x * (y \ z)) * T(y,y \ z) = R(x,y \ z,y) * z. (x * y) * R(L(z,u,w) \ z,y,x) = ((L(z,u,w) \ z) * y) * T(x,y). (x * y) * R(a(z,u,w),y,x) = (a(z,u,w) * y) * T(x,y). ((x * y) / z) * R(z,y,x) = z \ ((z * y) * T(x,y)). (x \ (y * x)) / (y * x) = R(1 / x,x,y). R(x / (y \ z),y \ z,y) = (x * T(y,y \ z)) / z. R(R(x,y,z) / x,x,u) = (u * R(x,y,z)) / (u * x). R((x * T(y,z)) / y,y,z) = ((x * y) * z) / (z * y). R(x,y \ z,y) * z = (x * (z / y)) * y. ((x * (y / z)) * z) / y = R(x,z \ y,z). (x \ L(x,y,z)) * R(a(u,w,v5),L(x,y,z),1 / x) = (a(u,w,v5) * L(x,y,z)) * T(1 / x,L(x,y,z)). ((x * y) * z) / (z * y) = R(x * K(y,z),y,z). R(x / (y / z),z \ y,z) = (x * z) / y. R(x,(y * (z \ 1)) \ 1,y * (z \ 1)) * 1 = (x * R(z / y,y,z)) * (y * (z \ 1)). K(x * K(y,z),y) = K(x,y). K(K(x,y) \ z,y) = K(z,y). (x * R(x,y,z)) / (x * x) = x \ R(x,y,z). R(x \ R(x,y,z),x,u) = (u * R(x,y,z)) / (u * x). L(x,y,z * ((u * w) \ ((v5 * w) * u))) = L(x,y,z * R(v5 * K(w,u),w,u)). L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ R(v5 * K(w,u),w,u)). R((a(x,y,z) \ 1) * K(T(u,z \ L(z,y,x)),w),T(u,z \ L(z,y,x)),w) = ((u * (a(x,y,z) \ 1)) * w) / (w * T(u,z \ L(z,y,x))). (x * x) \ (x * R(x,y,z)) = x \ R(x,y,z). R(x,y,z \ R(z,u,w)) = R(x,y,z * R(z,u,w)). R(x / (y \ L(y,z,u)),(L(y,z,u) \ 1) \ (y \ 1),L(y,z,u) \ 1) = (x * (L(y,z,u) \ 1)) / (y \ 1). R(x,(y * (z \ 1)) \ 1,y * z) * 1 = (x * R(z / y,y,z)) * (y * (z \ 1)). (x \ L(x,y,z)) * R(a(u,w,v5),L(x,y,z),x) = (a(u,w,v5) * L(x,y,z)) * T(1 / x,L(x,y,z)). R(x \ R(x,y,z),x,u) = (u * x) \ (u * R(x,y,z)). (x * y) * a(x * y,y,x) = R(x * y,y,x). R(x \ R(x,y,z),x,u) = L(x \ R(x,y,z),x,u). R(L(x,y,z) \ R(L(x,y,z),u,w),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * R(L(x,y,z),u,w)). (((a(x,y,z) \ 1) * u) / w) * R(w,u,a(x,y,z) \ 1) = w \ ((w * u) * (a(x,y,z) \ 1)). (x \ L(x,y,z)) * R(a(u,w,v5),x,L(x,y,z)) = (a(u,w,v5) * L(x,y,z)) * T(1 / x,L(x,y,z)). ((x * (a(y,z,u) \ 1)) * w) / (w * T(x,u \ L(u,z,y))) = R((a(y,z,u) \ 1) * K(x,w),T(x,u \ L(u,z,y)),w). x * (y * a(x * y,y,x)) = R(x * y,y,x). R(x,y,z * R(z,u,u)) = R(x,y,a(z,u,u)). T((R(x,y,z) * (x \ u)) / u,x) = L(x \ R(x,y,z),x,x \ u). R(L(x,y,z) \ L(R(x,u,w),y,z),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * R(L(x,y,z),u,w)). (x * R(y / z,z,y)) * (z * (y \ 1)) = R(x,(z * (y \ 1)) \ 1,z * y). (((a(x,y,z) \ 1) * u) / w) * R(w,u,a(x,y,z)) = w \ ((w * u) * (a(x,y,z) \ 1)). (((a(x,y,z) \ 1) * u) / w) * L(w,u,a(x,y,z)) = w \ ((w * u) * (a(x,y,z) \ 1)). R((x \ L(x,y,z)) \ u,(L(x,y,z) \ 1) \ (x \ 1),L(x,y,z) \ 1) = (u * (L(x,y,z) \ 1)) / (x \ 1). R((x \ L(x,y,z)) \ u,x \ L(x,y,z),L(x,y,z) \ 1) = (u * (L(x,y,z) \ 1)) / (x \ 1). R((x \ L(x,y,z)) \ u,x \ L(x,y,z),L(x,y,z)) = (u * (L(x,y,z) \ 1)) / (x \ 1). x * (a(y,z,x) * a(x * a(y,z,x),x,a(y,z,x))) = R(x * a(y,z,x),a(y,z,x),x). ((a(x,y,z) \ (a(x,y,z) \ 1)) * (u * w)) / w = (w * ((a(x,y,z) * a(x,y,z)) \ u)) / T(w,u). ((a(x,y,z) \ (a(x,y,z) \ 1)) * (u * w)) / w = (a(x,y,z) * a(x,y,z)) \ u. ((a(x,y,z) * a(x,y,z)) \ (u * w)) / w = (a(x,y,z) * a(x,y,z)) \ u. (x * ((a(y,z,u) * a(y,z,u)) \ w)) / w = (a(y,z,u) * a(y,z,u)) \ x. ((a(x,y,z) * a(x,y,z)) \ u) * w = u * ((a(x,y,z) * 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). (x * (y * ((a(z,u,w) * a(z,u,w)) \ v5))) \ ((x * ((a(z,u,w) * a(z,u,w)) \ y)) * v5) = a(x,(a(z,u,w) * a(z,u,w)) \ y,v5). (x * ((a(y,z,u) * a(y,z,u)) \ (w * v5))) \ ((((a(y,z,u) * a(y,z,u)) \ x) * w) * v5) = a((a(y,z,u) * a(y,z,u)) \ x,w,v5). (x * (y * ((a(z,u,w) * a(z,u,w)) \ v5))) \ ((x * y) * ((a(z,u,w) * a(z,u,w)) \ v5)) = a(x,(a(z,u,w) * a(z,u,w)) \ y,v5). (x * (y * ((a(z,u,w) * a(z,u,w)) \ v5))) \ ((((a(z,u,w) * a(z,u,w)) \ x) * y) * v5) = a((a(z,u,w) * a(z,u,w)) \ x,y,v5). a(x,(a(y,z,u) * a(y,z,u)) \ w,v5) = a(x,w,(a(y,z,u) * a(y,z,u)) \ v5). (x * (y * ((a(z,u,w) * a(z,u,w)) \ v5))) \ ((x * ((a(z,u,w) * a(z,u,w)) \ y)) * v5) = a((a(z,u,w) * a(z,u,w)) \ x,y,v5). (x * (y * ((a(z,u,w) * a(z,u,w)) \ v5))) \ ((x * y) * ((a(z,u,w) * a(z,u,w)) \ v5)) = a((a(z,u,w) * a(z,u,w)) \ x,y,v5). a((a(x,y,z) * a(x,y,z)) \ u,w,v5) = a(u,w,(a(x,y,z) * a(x,y,z)) \ v5). (x * T(y,(z \ R(z,u,w)) * x)) \ T(y * (x * (z \ R(z,u,w))),1) = R(z \ R(z,u,w),x,T(y,(z \ R(z,u,w)) * x)). (x * T(y,(z \ R(z,u,w)) * x)) \ (y * (x * (z \ R(z,u,w)))) = R(z \ R(z,u,w),x,T(y,(z \ R(z,u,w)) * x)). (x \ y) * T(z,y / x) = T(z * (x \ y),K(x,y)). T(x * ((y * z) \ y),K(y * z,y)) = L(z \ 1,z,y) * T(x,y / (y * z)). T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). 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). 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). 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. L(R(x,y,x),y,R(x,z,u)) = x. L(x,y,R(x,z,u)) = L(x,y,x). L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). x \ T(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y \ 1),z,u) = K(x,y \ 1). (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). (x * y) * K(z,u \ 1) = x * (y * K(z,u \ 1)). R(x,y,K(z,u \ 1)) = x. K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). a(x,y,K(z,u \ 1)) = 1. (x \ 1) * (y * (z * K(x,x \ 1))) = (1 / x) * (y * z). K(x,x \ 1) * (y * (z * x)) = y * (z * ((x \ 1) \ 1)). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). (x \ 1) * (y * (((x \ 1) \ 1) * z)) = (1 / x) * (y * (x * z)). T(x,y * (z * (1 / u))) = T(x,y * (z / u)). T(x,y * (z / (u \ 1))) = T(x,y * (z * u)). (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). (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). R(x,y,K(z,u)) = x. R(x,y,K(z,u)) = R(x,w,K(v5,v6)). (((x * y) * z) * K(u,w)) / ((y * z) * K(u,w)) = R(x,y,z). R(x,y,(z \ u) \ u) = R(x,y,z). R(x,y,T(z,u)) = R(x,y,z). (x * y) / (z * K(x,y)) = (y * x) / z. (x * K(y,z)) / (u * K(y,z)) = x / u. (x * (y * K(z,u))) / K(z,u) = x * y. K(x,x \ 1) * K(y,z) = x * ((1 / x) * K(y,z)). x * (T(y,x) * K(z,u)) = (y * x) * K(z,u). (x * y) * (L(z,y,x) * K(u,w)) = (x * (y * z)) * K(u,w). (x * y) * K(z,u) = x * (y * K(z,u)). (x / y) * (y * K(z,u)) = x * K(z,u). x * ((x \ y) * K(z,u)) = y * K(z,u). R(x,y,K(z,u)) != w | w = x. x \ (y * K(z,u)) = (x \ y) * K(z,u). (1 / x) \ K(y,z) = x * K(y,z). (x \ 1) * K(y,z) = x \ K(y,z). a(x,y,K(z,u)) = 1. a(x,y,K(z,u)) = w \ w. a(x,y,K(z,u)) * w = w. L(K(x,y),z,u) = K(x,y). K(x \ 1,x) * K(y,z) = (x \ 1) * (x * K(y,z)). L(K(x,y),z,u) = K(y,x) \ 1. K(L(x,y,z),u) = K(x,u). K((x * y) \ z,u) = K(y \ (x \ z),u). K((x \ y) \ z,u) = K(y \ (x * z),u). K(L(x,y,z) \ 1,u) = K(x \ 1,u). (x * (y * K(z,u))) * K(u,z) = x * y. (x * (y * z)) * K(z,u) = x * (y * T(z,u)). (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). K(L(x,y,z),u) = 1 / K(u,x). (x * y) / x = y * K(L(x,z,u),y). T(x,L(y,z,u)) = x / K(y,x). (L(x,y,z) \ u) * K(x,L(x,y,z) \ u) = u / L(x,y,z). (L(x,y,z) * u) / L(x,y,z) = u * K(x,u). (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). K(x,x \ 1) * K(y \ (1 / x),x * y) = ((x * y) \ K(x,x \ 1)) * (x * y). R(x * K(y,x),L(y,z,u),L(y,z,u)) = (L(y,z,u) * x) * (L(y,z,u) \ 1). K(x,L(y,z,u)) = K(y,x) \ 1. K(x,y) * L(x,z,u) = L(T(x,y),z,u). K(x,y) * (L(T(x,y),z,u) \ w) = L(x,z,u) \ w. (x * L(a(y,z,u),w,v5)) \ ((x * v6) * L(a(y,z,u),w,v5)) = L(K(a(y,z,u),x) * v6,x,L(a(y,z,u),w,v5)). T(a(x,y,z) * (u * L(w,v5,v6)),K(w,u)) = a(x,y,z) * (u * L(w,v5,v6)). (x * T(y,(z \ R(z,u,w)) * x)) \ (y * (x * (z \ R(z,u,w)))) = R(z \ R(z,u,w),x,y). (((a(x,y,z) \ 1) * ((u * w) / u)) * u) / (T(u,w) * (a(x,y,z) \ 1)) = R(w,a(x,y,z) \ 1,u). R(x,y,L(T(z,u),w,v5)) = R(x,y,L(z,w,v5)). R(x,y,z / u) = R(x,y,u \ z). R(x,y,z / (z / u)) = R(x,y,u). R(x,y,T(z,u)) != w | R(x,y,z) = w. x * (y * K(z,T(u,x * y))) = K(z,u) * (x * y). (x * y) * ((y \ z) * K(z,u)) = R(x,y,y \ z) * T(z,u). (x / (y * K(z,u))) * y = x * K(u,z). (x * (y * K(z,u))) * z = (x * y) * T(z,u). x * (T(T(y,x),z) * K(u,w)) = (T(y,z) * x) * K(u,w). ((x * y) / z) * (L(z,y,x) * K(u,w)) = ((x * (y * z)) / z) * K(u,w). a(x * (y * K(z,u)),w,v5) = a(x * y,w,v5). (x * y) * K(z,z \ y) = x * (z * (y / z)). (x * K(y \ 1,z)) / ((y * (x * K(y \ 1,z))) / y) = K(x,y). (x * (y * (z / u))) * K(z / u,u) = x * (y * (u \ z)). T(x * (y * K(z,u)),K(u,z)) = K(z,u) * (x * y). (x * y) * K(z,T(u,y)) = x * (K(z,u) * y). (x * y) * K(z \ 1,z * u) = x * (y * K(z \ 1,u * z)). (x * y) * (K(z,u) * (w * w)) = x * (y * (K(z,u) * (w * w))). (x * (y * K(z,u))) / (w * K(z,u)) = (x * y) / w. x / (y * K(z,x)) = T(x,z) / y. T(x,y) / (z * K(x,y)) = x / z. 1 / (x * K(y,z)) = K(z,y) / x. (T(x,y) / z) \ x = z * K(y,x). (K(x,y) / z) \ 1 = z * K(y,x). ((x * y) / z) \ (y * x) = z * K(y,x). (x / (y * (z / y))) * z = x * K(y \ z,y). x \ (y / (y / z)) = (x \ z) * K(z \ y,z). x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z). x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). x \ R(y * K(z,u),w,v5) = (x \ R(y,w,v5)) * K(z,u). (x \ T(y,K(z,u))) * K(z,u) = x \ (K(z,u) * y). x \ (K(y,z) * T(K(z,y) * u,w)) = (x \ T(u * K(z,y),w)) * K(y,z). (x \ y) * K(z,T(u,y)) = x \ (K(z,u) * y). (x \ (y * z)) * K(z,u) = x \ (y * T(z,u)). (x \ (y * ((z \ u) \ u))) * K(z \ u,z) = x \ (y * z). (x \ y) * K(z,z \ y) = x \ (z * (y / z)). (x \ T(y,z)) * K(z,y) = x \ y. (x \ y) * K(y,z) = x \ T(y,z). (x \ K(y,z)) * K(z,y) = x \ 1. (x \ (y / z)) * K(z \ y,z) = x \ (z \ y). (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). x \ (K(y,z) * a(u,w,v5)) = (x \ a(u,w,v5)) * K(y,z). (x \ y) * K(z \ y,z) = x \ ((z \ y) * z). (x \ (y * z)) * K(z,y) = x \ (z * y). (x \ y) * K(x \ (z \ y),z) = (z \ (x \ y)) * z. (x * K(y,z)) / (u * T(y,z)) = x / (u * y). (x * K(y,z)) / (u * (w * K(y,z))) = x / (u * w). L(x,y,z \ (u * K(w,v5))) = L(x,y,z \ u). (x \ y) * K(z,u \ ((1 / u) \ w)) = x \ (y * K(z,w)). ((x * x) / y) \ K(z,u) = (y / (x * x)) * K(z,u). (x \ K(y,z)) / K(y,z) = x \ 1. x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). (x \ (y \ 1)) * K(z,u) = x \ (y \ K(z,u)). L(x,y,z \ K(u,w)) = L(x,y,z \ 1). a(x \ K(y,z),u,w) = a(x \ 1,u,w). T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). (x \ K((x \ 1) \ y,x \ 1)) \ y = y / (x \ 1). ((x * (a(y,z,u) \ 1)) * w) / (w * T(x,u \ L(u,z,y))) = R(a(y,z,u) \ K(x,w),T(x,u \ L(u,z,y)),w). (x \ 1) * (y * ((x \ 1) \ K(z,u))) = (1 / x) * (y * (x * K(z,u))). (x * (y \ 1)) * K(z,u) = x * (y \ K(z,u)). (x * y) * (L(z,y,x) * K(u,w)) = x * ((y * z) * K(u,w)). L(x,y,z) * K(y * x,z) = (z * y) \ ((y * x) * z). x * (T(y,x) * K(z,u)) = y * (x * K(z,u)). (x * K(y \ 1,y)) * K(z,u) = x * ((y \ 1) * (y * K(z,u))). x * (T(T(y,x),z) * K(u,w)) = T(y,z) * (x * K(u,w)). R(R(x,y,z \ u),w,K(v5,v6)) = ((x * y) * (u / z)) / ((y * (z \ u)) * K(z,z \ u)). ((x * y) * (z * K(u,w))) / ((y * z) * K(u,w)) = R(x,y,z). (x * y) * (K(z,u) * K(w,v5)) = x * ((y * K(z,u)) * K(w,v5)). (x * (y * K(z,u))) / w = (x * y) / (w * K(u,z)). (x * (y * (z * K(u,w)))) / (v5 * K(u,w)) = (x * (y * z)) / v5. (x * y) / R(T(x,y),z,u) = (y * x) / R(x,z,u). (x * y) / (z * T(x,y)) = (y * x) / (z * x). ((x * y) / (z * u)) \ (y * x) = z * (u * K(y,x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). (x * (y * z)) \ (z * (x * y)) = a(x,y,z) * K(z,x * y). (L(x * y,z,u) \ (x * y)) \ (y * x) = L(x * y,z,u) * K(y,x). (x * ((x \ y) * z)) * K(z,y) = a(x,x \ y,z) \ (z * y). ((x * ((x \ K(y,z)) * a(u,w,v5))) \ a(u,w,v5)) * K(y,z) = a(x,x \ K(y,z),a(u,w,v5)). x \ (y * ((z / (u * u)) * K(w,v5))) = (x \ ((y * z) / (u * u))) * K(w,v5). (x \ (y * (z * u))) * K(u,w) = x \ (y * (z * T(u,w))). (x \ (y * z)) * K(u,T(w,z)) = x \ (y * (K(u,w) * z)). x \ (y * (z * (u * K(w,v5)))) = (x \ (y * (z * u))) * K(w,v5). (x \ (y * (z \ 1))) * K(u,w) = x \ (y * (z \ K(u,w))). (x \ (y * z)) / T(y,z) = (x \ (z * y)) / y. (x \ (y * z)) * K(z,z \ (y * z)) = x \ (z * y). (x * (y * z)) \ ((z * y) * x) = K(z,y) * K(z * y,x). a(x,y,z) * (x * ((y * z) * K(u,w))) = ((x * y) * z) * K(u,w). (x * ((y \ z) * y)) / (u * (w * K(y \ z,y))) = (x * z) / (u * w). (x / (y \ K(z,u))) * (y \ 1) = x * K(u,z). (x / (y * y)) * K(z,u) = x * ((y * y) \ K(z,u)). a(x * (y \ K(z,u)),w,v5) = a(x * (y \ 1),w,v5). T(x,y) / (z / T(y,x)) = x / (z / y). T(x,y) / (z * T(x,y)) = x / (z * x). ((x \ 1) \ (x \ y)) * (x \ 1) = (x \ y) * K(y,x \ 1). K(x,y) * (z \ T(y,x)) = T(z \ y,K(y,x)). (x \ T(y,z)) / K(y,z) = x \ y. (x \ (y \ z)) * K(z,u) = x \ (y \ T(z,u)). K(x,y) * (z \ T(y,x)) = T(z \ y,K(x,y)). (x * y) * (L(z,y,x) * K(u,w)) = x * (y * (z * K(u,w))). T(x,y) * K(z,y) = T(x * K(z,y),y). ((1 / x) * (T(y,x \ 1) * K(z,u))) * x = (y * ((x \ 1) * K(z,u))) * ((x \ 1) \ 1). (1 / x) * (T(y,x \ 1) * K(z,u)) = y * ((1 / x) * K(z,u)). x * ((y * K(z,u)) * K(w \ K(z,u),w)) = (x * y) * ((w \ K(z,u)) * w). x * (y * ((x \ 1) * (x * K(x * y,z)))) = T(x * (y * K(x \ 1,x)),z). (x \ y) / (x \ T(y,z)) = K(z,T(y,x)). (K(x,y) * z) \ x = (z \ x) * K(y,x). ((1 / x) \ y) * K(z,y) = (K(y,z) / x) \ y. (K(x,y) * (z * z)) \ 1 = (z \ (z \ 1)) * K(y,x). L(T(T(x,y),K(z,u)),K(z,u),y) = T(x,y * K(z,u)). (x \ y) / (z * T(y / x,x)) = (y / x) / (z * (y / x)). (x \ (y \ (z * u))) * K(u,w) = x \ (y \ (z * T(u,w))). L(x,y,z \ (u * T(w,v5))) = L(x,y,z \ (u * w)). a(x \ (y * T(z,u)),w,v5) = a(x \ (y * z),w,v5). (x * (y * T(z,u))) / T(z,u) = (x * (y * z)) / z. T(x * (y * T(z,u)),K(z,u)) = K(z,u) * (x * (y * z)). L(x,y,z * (u * (w / v5))) = L(x,y,z * (u * (v5 \ w))). (x * (T(y,z) \ 1)) * T(y,z) = (x * (y \ 1)) * y. ((x * y) * (z * K(u,w))) / (y * (z * K(u,w))) = R(x,y,z). ((x \ y) * (x * x)) / (z * T(y / (x \ 1),x)) = (y / (x \ 1)) / (z * (y / (x \ 1))). K(x,y) * (L(z \ x,u,w) \ (z \ x)) = L(z \ x,u,w) \ (z \ T(x,y)). L(x,y,z \ (u \ T(w,v5))) = L(x,y,z \ (u \ w)). K(x,y) * ((z \ (u \ T(y,x))) * w) = T(z \ (u \ y),K(x,y)) * w. (x * (y * (z * K(u,w)))) / v5 = (x * (y * z)) / (v5 * K(w,u)). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). L(L(x,y,z) \ x,u,w) \ (((L(x,y,z) \ x) * u) * w) = w * (u * K((L(x,y,z) \ x) * u,w)). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). a(x \ ((y * y) \ (y * (x * y))),z,u) = a(a(x,y,y) * K(y,x * y),z,u). (x \ (y * (z * u))) * K(w,T(v5,u)) = x \ (y * (z * (K(w,v5) * u))). x \ (y * ((z * z) \ K(u,w))) = (x \ (y / (z * z))) * K(u,w). a(x \ (y * (z * T(u,w))),v5,v6) = a(x \ (y * (z * u)),v5,v6). K(x,y) * K(x * y,x) = a(x,y,x). a(x \ (y * ((z \ u) \ u)),w,v5) = a(x \ (y * z),w,v5). a(x,x \ y,z) \ (z * y) = x * ((x \ y) * T(z,y)). L(x,y,z) * T(z * y,x) = z * (y * x). (x * (y * z)) / (L(x,z,y) * (y * z)) = ((y * z) * x) / (y * (z * x)). (x * (y * z)) / T(x * y,z) = L(z,y,x). (L(x,y,z) * (z * y)) / (x * (z * y)) = (z * (y * x)) / ((z * y) * x). ((x * (y * z)) / z) * K(z,u) = (x * (y * T(z,u))) / z. R(x,y,y \ z) * T(z,u) = (x * y) * (y \ T(z,u)). a(x,y,z) * (x * (y * (z * K(u,w)))) = ((x * y) * z) * K(u,w). (x * ((y \ z) * y)) / (u * ((y \ z) * y)) = (x * z) / (u * z). (x / y) / (z * (x / y)) = (y \ x) / (z * (y \ x)). L(x,y,z) * K(u,w) = L(x * K(u,w),y,z). x * (y * (z * K(x * y,z))) = T(x * y,z) * L(z,y,x). (x \ K(y,z)) / (u \ 1) = (x \ 1) / (u \ K(z,y)). (x * (K(y,z) * (u \ L(u,w,v5)))) / v6 = (x * (u \ L(u,w,v5))) / (v6 * K(z,y)). K(x,y) * (z * (K(y,x) * u)) = T(z * T(u,K(x,y)),K(y,x)). (x * y) * ((z \ K(u,w)) * z) = x * (y * ((z \ K(u,w)) * z)). (x * y) * (K(z,u) * (w * w)) = x * ((y * K(z,u)) * (w * w)). ((x \ y) \ z) * K(x,z) = (T(x,z) \ y) \ z. R(x,y,z * K(u,w)) = R(x,y,z). ((x * x) / y) \ K(z,u) = y * ((x * x) \ K(z,u)). x \ (y * (z * ((u * u) \ K(w,v5)))) = (x \ ((y * z) / (u * u))) * K(w,v5). K(x,L(y,z,u)) = K(x,y). L(K(x,y),z,u) = K(x,L(y,w,v5)). K(x,L(y,z,u)) * (y * x) = x * y. T(x,L(y,z,u)) = x * K(x,y). K(x,y) * T(L(y,z,u),x) = L(y,z,u). K(x,y) * (L(y,z,u) * x) = x * L(y,z,u). K(x,T((y \ z) \ u,w)) = K(x,T(z \ (y * u),w)). K(x,y) * (L(T(y,x),z,u) * w) = L(y,z,u) * w. (1 / (K(x,y) / x)) * L(y,z,u) = L(y,z,u) * (1 / (1 / x)). (x * y) * K(z,L(u,w,v5)) = x * (y * K(z,u)). (x \ y) / ((z * T(y / (x \ 1),x)) / (x * x)) = (y / (x \ 1)) / (z * (y / (x \ 1))). a(x,y,z) * (x * (y * (z * K(u,w)))) = (x * y) * (z * K(u,w)). R(x,y,z / (x * y)) \ z = y * T(z / (x * y),x * y). R(x \ L(x,y,z),u,L(x,y,z) \ x) \ L(u,x \ L(x,y,z),L(x,y,z) \ x) = u * T(L(x,y,z) \ x,(x \ L(x,y,z)) * u). a(x,x \ y,z) \ (z * y) = L(z,x \ y,x) * y. x \ R(x,y,x) = a(x,y,x). x * a(x,y,x) = R(x,y,x). L(x,y,a(z,u,z)) = x. T(x * y,x) / x = y * a(x,y,x). (K(x,y) * (z * z)) \ 1 = z \ (z \ K(y,x)). T(x,y) * R(T(x,y) \ z,x,x) = (z * (T(x,u) \ 1)) * T(x,u). (x * (y * (a(z,u,w) \ 1))) / T(x * (a(z,u,w) \ 1),y) = L(y,a(z,u,w) \ 1,x). L((x * y) \ x,y,y \ 1) \ ((x * y) \ x) = T((y \ 1) * y,(x * y) \ x). L(x,y,z) * K(z * y,x) = (z * (y * x)) / (z * y). L(L(a(x,y,z),u,w),v5,v6) * (v6 * v5) = v6 * (v5 * L(a(x,y,z),u,w)). (x * (y * z)) / (L(x,z,y) * (y * z)) = a(y,z,x). a(x,y,z) * (L(z,y,x) * (x * y)) = z * (x * y). (x * (L(L(y,z,u),w,v5) * v6)) / T(x * L(L(y,w,v5),z,u),v6) = L(v6,L(L(y,z,u),w,v5),x). (L(L(x,y,z),u,w) * (x * v5)) / T(x * L(L(x,u,w),y,z),v5) = L(v5,x,L(L(x,y,z),u,w)). (x * (y * (z \ L(z,u,w)))) / T(x * (z \ L(z,u,w)),y) = L(y,z \ L(z,u,w),x). (x * (x * (x \ y))) / ((x * x) * (x \ y)) = T(x * y,x * x) / ((x \ y) * (x * x)). (x * y) * (y \ T(z,x)) = z * R(x,y,y \ z). L((x * y) / x,z,u) = L(y,z,u) * K(x,y). x * (L(y,z,u) * K(w,v5)) = x * L(y * K(w,v5),z,u). K(x,y) * L(K(x,y) \ z,u,w) = L(z,u,w). x \ L(y * K(z,u),w,v5) = (x \ L(y,w,v5)) * K(z,u). L(x,y,L(z * K(u,w),v5,v6)) = L(x,y,L(z,v5,v6)). L(x \ y,z,u) * K(x,x \ y) = L(y / x,z,u). a(L(x * K(y,z),u,w),v5,v6) = a(L(x,u,w),v5,v6). L(x,y,z) * K(x,u) = L(T(x,u),y,z). L(x * y,z,u) * K(y,w) = L(x * T(y,w),z,u). (x * y) \ L((z * K(y,x)) * K(x,y),u,w) = (y * x) \ L(K(x,y) \ z,u,w). L(x \ 1,y,z) * K(u,w) = L(x \ K(u,w),y,z). ((x \ 1) \ (x \ y)) * (x \ 1) = (x \ y) * K(y,1 / x). K(x,x \ y) * (z \ (x \ y)) = T(z \ (y / x),K(x,y)). x * (K(y \ K(z,u),y) * K(u,z)) = x / (y * (K(z,u) / y)). (x \ (y \ z)) * K(u,u \ z) = x \ (y \ (u * (z / u))). (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). (x \ (1 / (1 / y))) \ 1 = (x \ y) \ K(y,y \ 1). R(x,y,z * u) = R(x,y,u * z). R(x,y,(z \ u) * z) = R(x,y,u). R(x,y,L(z,u,w) * (w * u)) = R(x,y,w * (u * z)). R(x,y,z * (u / w)) = R(x,y,z * (w \ u)). R(x,y,T(z,u) * w) = R(x,y,z * w). R(x,y,K(z,u) * w) = R(x,y,w). R(x,y,T(z,u) \ w) = R(x,y,z \ w). R(x,y,z * (u * w)) = R(x,y,z * (w * u)). R(x,y,z * ((u \ w) * u)) = R(x,y,z * w). R(x,y,z * (u * K(w,v5))) = R(x,y,z * u). R(x,y,z \ K(u,w)) = R(x,y,z \ 1). R(x,y,z \ (u * w)) = R(x,y,z \ (w * u)). R(x,y,z \ (u * T(w,v5))) = R(x,y,z \ (u * w)). R(x,y,z \ (u \ T(w,v5))) = R(x,y,z \ (u \ w)). R(x,y,z \ (u * (w * T(v5,v6)))) = R(x,y,z \ (u * (w * v5))). R(x,y,z \ (u / w)) = R(x,y,z \ (w \ u)). (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. (x * y) / (a(z,u,w) \ y) = (a(z,u,w) \ y) \ (y * x). K(x * y,z) * L(z,y,x) = (x * (y * z)) / (x * y). L(a(x,y,z),u,w) * (z * v5) = z * (v5 * L(a(x,y,z),u,w)). a(x,y,z) \ (z * (x * y)) = L(z,y,x) * (x * y). (x * y) / (L(x,z,z \ y) * y) = a(z \ y,z,x). (L(x,y,z) * (z * y)) * a(z,y,x) = x * (z * y). ((x \ (1 / y)) * (y * x)) / (((y * x) \ K(y,y \ 1)) * (y * x)) = a(y,x,x \ (1 / y)). L(x,y,z) \ (x * (z * y)) = (z * y) * a(z,y,x). (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,x). L(x,y,y) * a(y,y,x) = x. a(x,x,y) * L(y,x,x) = y. (x * (L(L(x,y,z),u,w) * v5)) / T(x * L(L(x,u,w),y,z),v5) = L(v5,x,L(L(x,y,z),u,w)). (x * (x * (x \ y))) / ((x * x) * (x \ y)) = ((x * x) \ (x * y)) / (x \ y). x \ ((y * (z * x)) / (y * z)) = T(x,y * z) \ L(x,z,y). (x * y) * ((z * z) \ K(u,w)) = x * (y * ((z * z) \ K(u,w))). R(R(x,y,z \ u),w,K(v5,v6)) = ((x * y) * (u / z)) / (y * (u / z)). a(x,y,z * K(u,w)) = a(x,y,z). (x * x) \ K(y,z) = x \ (x \ K(y,z)). R(x,y,T(z / u,w)) = R(x,y,u \ z). (x \ y) / (z * (T(y / (x \ 1),x) / (x * x))) = (y / (x \ 1)) / (z * (y / (x \ 1))). R(x,y,z / (x * y)) \ z = y * ((x * y) \ z). (a(x,y,z) \ (1 / (1 / u))) \ 1 = 1 / (a(x,y,z) \ u). x \ L((y * z) / y,u,w) = (x \ L(z,u,w)) * K(y,z). (x * L(y,z,u)) \ (x * L(y * K(w,v5),z,u)) = K(w,v5). x * (L(y \ 1,z,u) * K(w,v5)) = x * L(y \ K(w,v5),z,u). L(x * K(y \ (z \ L(x,u,w)),y),u,w) = z * ((y \ (z \ L(x,u,w))) * y). (x \ L(x,y,z)) * K(u,w) = x * L(x \ K(u,w),y,z). (x \ L(y,z,u)) * K(y,w) = x \ L(T(y,w),z,u). (x \ L(y,z,u)) * K(w,w \ y) = x \ L(w * (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). L(x \ K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * (x \ 1)). K(x,y) / L(z \ 1,u,w) = 1 / L(z \ K(y,x),u,w). (x * L(y \ 1,z,u)) * K(w,v5) = x * L(y \ K(w,v5),z,u). (x * y) \ L(K(y,x) \ z,u,w) = (y * x) \ L(z,u,w). R(x,y,(z \ u) * (z * z)) = R(x,y,(z \ 1) \ u). ((x * y) \ T(x * K(z,u),y)) * K(u,z) = (y * (K(z,u) * x)) \ (K(z,u) * x). (x * y) / R(y,z,u) = R(y,z,u) \ (y * x). L(x,y,z) * R(u,x,L(x,y,z) * (x \ 1)) = (u * x) * (x \ T(L(x,y,z),u)). L(x,y,z) * (x \ K(u,w)) = K(u,w) * (x \ L(x,y,z)). x * (a(y,y \ z,x) \ z) = L(x,y \ z,y) * z. R(x,y,a(z,u,z)) = x. (a(x,y,x) \ 1) * z = a(x,y,x) \ z. (x * a(y,z,y)) \ u = x \ (a(y,z,y) \ u). a(x,y,x) \ (a(x,y,x) / z) = 1 / z. (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). a(x,y,x) * (1 / z) = a(x,y,x) / z. (a(x,y,x) * z) / u = a(x,y,x) * (z / u). (x * a(y,z,y)) * u = (x * u) * a(y,z,y). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). a(x,y,x) * ((a(x,y,x) \ z) * u) = z * u. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). a(x,y,x) * (z * u) = z * (a(x,y,x) * u). L(x,y,a(z,u,z)) != w | x = w. a(x,y,x) \ (z * u) = (a(x,y,x) \ z) * u. (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,a(z,u,z) * y,x). (x * y) * a(z,u,z) = x * (a(z,u,z) * y). (x * y) * a(z,u,z) = x * (y * a(z,u,z)). a(x,y,x) * (z * u) = z * (u * a(x,y,x)). L(x,L(L(y,z,u),w,v5),y) = L(x,y,L(L(y,z,u),w,v5)). x \ ((x / (y \ 1)) * ((y \ K(y * x,y \ 1)) \ L(y \ K(y * x,y \ 1),z,u))) = L(x \ ((y \ K(y * x,y \ 1)) \ x),z,u). (x \ K(L(x,y,z) * u,x \ 1)) \ (u * (x \ L(x,y,z))) = (u * (x \ L(x,y,z))) / (x \ 1). ((1 / x) \ (x \ y)) * (1 / x) = (x \ y) * K(y,1 / x). (x \ y) * a(x,x \ y,x) = T(y,x) / x. R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). x * (a(y,z,x) \ (y * z)) = L(x,z,y) * (y * z). a(x,x,y) \ y = L(y,x,x). (L(L(x,y,z) \ x,u,x \ L(x,y,z)) * ((x \ L(x,y,z)) * u)) * a(x \ L(x,y,z),u,L(x,y,z) \ x) = L(u,x \ L(x,y,z),L(x,y,z) \ x). (a(x,y,x) * z) / u = (z / u) * a(x,y,x). x * ((x \ y) * a(z,u,z)) = y * a(z,u,z). R(x,y,a(z,u,z)) != w | x = w. x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). (x \ 1) * a(y,z,y) = x \ a(y,z,y). (x * y) \ ((x * (y * z)) * a(u,w,u)) = L(z,y,x) * a(u,w,u). a(x,y,x) * x = R(x,y,x). L(x,y,y) \ x = a(y,y,x). ((x * x) \ y) * a(x,x,x \ (x \ y)) = x \ (x \ y). R(L(x,y,y),a(y,y,x),z) \ (x * z) = a(y,y,x) * z. a(L(x,y,y),a(y,y,x),z) \ (x * z) = L(x,y,y) * (a(y,y,x) * z). (x * y) \ (a(z,z,y) * (x * L(y,z,z))) = a(x,L(y,z,z),a(z,z,y)). L(x,L(y,z,z),a(z,z,y)) * y = a(z,z,y) * (x * L(y,z,z)). a(L(x,y,y) \ z,a(y,y,x),L(x,y,y)) = (((z / L(x,y,y)) * x) / a(y,y,x)) \ z. (a(x,x,y) \ (y * z)) / (a(x,x,y) \ (L(y,x,x) * z)) = R(a(x,x,y),L(y,x,x),z). L((a(x,x,y) * a(x,x,y)) * L(y,x,x),a(x,x,y),a(x,x,y)) = a(x,x,y) * y. a(a(x,x,y),L(y,x,x),z) \ (y * z) = a(x,x,y) * (L(y,x,x) * z). a(x,x,y) \ 1 = y \ L(y,x,x). ((x * y) / L(y,z,z)) \ (x * a(z,z,y)) = a(x,a(z,z,y),L(y,z,z)). x * (a(y,y,x) \ 1) = L(x,y,y). x * (L(y,z,z) \ y) = a(z,z,y) * x. a(x,x,y) \ (1 / y) = L(1 / y,x,x). T((x / y) * a(z,z,y),a(z,z,y) \ y) = L(L(y,z,z),a(z,z,y),y \ x) \ x. a(a(x,y,z),a(x,y,z) \ 1,u) = a(a(x,y,z),a(x,y,z),u). a(x,x \ 1,L(y,z,u) \ y) = a(x,x,L(y,z,u) \ y). L(x \ L(x,y,y),z,u) \ 1 = a(y,y,L(x,z,u)). a(x,y,L(z \ L(z,u,u),w,v5)) = a(x,y,L(a(u,u,z),w,v5)). a(x,y,z * L(z,u,u)) = a(x,y,a(u,u,z)). x * (L(x,y,z) \ L(x \ L(x,y,z),u,u)) = a(u,u,x * L(x,y,z)) \ 1. L(x,y,y) \ ((z \ x) * z) = a(y,y,x) * K(z \ x,z). T(x,L(x \ y,z,u)) = (x \ y) \ y. T(x,L(y,z,u)) = T(x,y). T(x,L(y,z,u)) != w | T(x,y) = w. L(x,y,z) \ (u * L(x,y,z)) = T(u,x). T(x / L(y,z,u),y) = L(y,z,u) \ x. T(x,L(y,z,u)) = y \ (x * y). T(x,L(L(y,z,u),w,v5)) = T(x,y). T(x / y,L(y,z,u)) = y \ x. x * T(y,L(x,z,u)) = y * x. (1 / L(x,y,z)) * ((L(x,y,z) \ u) * L(x,y,z)) = T((1 / L(x,y,z)) * u,x). L(x,y,z) * T(u,x) = u * L(x,y,z). L(x,y,z) * L(T(u,x),w,v5) = L(u,w,v5) * L(x,y,z). L(x,y,z) * R(T(u,x),w,v5) = R(u,w,v5) * L(x,y,z). T(x,L(x,y,z)) != u | x = u. L(R(x,y,L(x,z,u)),z,u) = y \ T(L(x,z,u) * y,x). L(x,y,z) * (T(u,x) * T(w,u * L(x,y,z))) = L(w,u,L(x,y,z)) * (u * L(x,y,z)). L(x,y,z) * (T(u,x) * K(w,v5)) = u * (L(x,y,z) * K(w,v5)). T(x,K(y,L(z,u,w))) = T(x,K(y,z)). L(x,y,x) * a(x,y,x) = x. K(x,(y * a(z,u,z)) * w) = K(x,y * w). a(x,y,x) * L(x,y,x) = x. ((x * (a(y,z,y) * u)) * w) / (a(y,z,y) * (u * w)) = R(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(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). a(x,y,x) \ x = L(x,y,x). (x * (x * (x \ y))) / ((x * x) * (x \ y)) = L(x \ y,x,x) / (x \ y). ((1 / x) * (T(y,x \ 1) * K(z,u))) * x = (y * (x \ K(z,u))) * ((x \ 1) \ 1). K((x \ y) * x,1 / x) = K(y,1 / x). R(x,y,(z \ 1) * u) = R(x,y,u * z). R(x,y,(z * z) * u) = R(x,y,u). R(x / y,y,z * u) = (x * (u * z)) / (y * (u * z)). R(x,y,z \ (z * (u * w))) = R(x,y,w * u). R(x,y,y * x) \ 1 = y * ((x * y) \ 1). R(x,y,z * L(u / (w \ 1),w \ 1,w)) = R(x,y,z * (w * u)). R(x,y,z * (K(u,w) * v5)) = R(x,y,z * v5). R(x,y,z * (u \ (w / v5))) = R(x,y,z * (u \ (v5 \ w))). R(x,y,(z * z) \ u) = R(x,y,u). R(x,y,L((z \ u) * z,w,v5)) = R(x,y,L(u,w,v5)). R(x,y,z \ K(u,w)) = R(x,y,z). R(x,y,L(z,u,w) * (w * u)) = R(x,y,w * (z * u)). R(x,y,(z * u) * w) = R(x,y,w * (u * z)). R(x,y,z * ((z * u) * u)) = R(x,y,a(z,u,z * u)). R(x,y,z * ((u \ 1) * w)) = R(x,y,z * (w * u)). R(x,y,z * ((u * u) * w)) = R(x,y,z * w). R(x / (y \ L(y,z,u)),y \ L(y,z,u),y) = (x * ((y \ w) \ w)) / L((y \ w) \ w,z,u). R(x,x \ (y \ z),y) \ z = (x \ (y \ z)) * ((y \ z) \ z). R(x,y,z * ((u * u) \ w)) = R(x,y,z * w). T((x * y) * ((x / (y \ 1)) \ 1),x * y) = R(a(x,y,y),x / (y \ 1),(y \ 1) \ x). T(((1 / (x / y)) * z) * (x / y),y / x) = R(z,(x / y) \ 1,y \ x). (x * ((y / z) \ 1)) * T(y / z,y \ z) = R(x,(y / z) \ 1,z \ y). R(1 / x,x,y \ (x \ y)) = x \ 1. R(x,y,z \ (z / (u \ 1))) = R(x,y,(u * z) \ z). R(x,y,z / (u * (w * w))) = R(x,y,u \ (z / (w * w))). R(x,y,z / (u / (w * w))) = R(x,y,u \ (z * (w * w))). R(x,y,(z \ 1) \ a(z,u,w)) = R(x,y,z * a(z,u,w)). R(x,y,z * (u \ (u / (w \ 1)))) = R(x,y,z * ((w * u) \ u)). R(x,y,z * (u / (w * (v5 * v5)))) = R(x,y,z * (w \ (u / (v5 * v5)))). R(x,y,z * ((u * u) \ (w \ v5))) = R(x,y,z * (w \ (v5 / (u * u)))). R(x,y,z \ ((u \ 1) * w)) = R(x,y,z \ (w * u)). R(x,y,(z * u) \ ((w * u) * z)) = R(x,y,L(T(w,u),u,z)). R(x,y,z \ (u * (w / v5))) = R(x,y,z \ (u * (v5 \ w))). R(x,y,z \ (u \ (w / v5))) = R(x,y,z \ (u \ (v5 \ w))). R(x,y,z \ (u * (w * v5))) = R(x,y,z \ (u * (v5 * w))). R(x,y,z \ ((u * u) \ w)) = R(x,y,z \ w). R(x,y,z \ (z \ 1)) = x. R(x,y,z \ (u / (w / (v5 * v5)))) = R(x,y,z \ (w \ (u * (v5 * v5)))). R(x / y,y,x \ (z \ u)) \ (u / z) = y * (x \ (u / z)). R(x,y,(z / u) * w) = R(x,y,(u \ z) * w). ((x * (y * z)) / z) * K(z,u) = ((x * y) / z) * L(T(z,u),y,x). a(x,y,z * K(u,w)) = a(x,y,z * K(v5,v6)). a(x,y,z * u) = a(x,y,u * z). a(x,y,L(L(z,u,w),v5,v6) * K(v7,v8)) = a(x,y,L(L(z,v5,v6),u,w)). a(x,y,(z \ u) * z) = a(x,y,u). a(x,y,L(z,u,w) * (w * u)) = a(x,y,w * (u * z)). a(x,y,(z \ 1) * R(z,u,w)) = a(x,y,z \ R(z,u,w)). a(x,y,L(z,z,u) * u) = a(x,y,u / (z \ 1)). a(x,y,(z * u) / z) = a(x,y,u). a(x,y,z / u) = a(x,y,u \ z). a(x,y,T(z,u)) = a(x,y,z). a(x,y,(z \ u) \ u) = a(x,y,z). a(x,y,z \ (u * z)) = a(x,y,u). a(x,y,z * ((u * w) / u)) = a(x,y,z * w). a(x,y,z * (u / w)) = a(x,y,z * (w \ u)). a(x,y,T(z,u) * w) = a(x,y,z * w). a(x,y,K(z,u) * w) = a(x,y,w). a(x,y,z * T(u,w)) = a(x,y,z * u). a(x,y,z * ((u \ w) \ w)) = a(x,y,z * u). a(x,y,T(z,u) \ w) = a(x,y,z \ w). a(x,y,((z \ u) * z) * w) = a(x,y,u * w). a(x,y,z * (u * w)) = a(x,y,z * (w * u)). a(x,y,z * (u * K(w,v5))) = a(x,y,z * u). a(x,y,z \ (u * K(w,v5))) = a(x,y,z \ u). a(x,y,z \ K(u,w)) = a(x,y,z \ 1). a(x,y,z \ (u * (w * K(v5,v6)))) = a(x,y,z \ (u * w)). a(x,y,z \ (u * w)) = a(x,y,z \ (w * u)). a(x,y,z * (u \ K(w,v5))) = a(x,y,z * (u \ 1)). a(x,y,z \ T(u,w)) = a(x,y,z \ u). a(x,y,(z * u) \ ((u * w) * z)) = a(x,y,L(w,u,z)). a(x,y,z \ ((u \ w) \ w)) = a(x,y,z \ u). a(x,y,z \ (u * T(w,v5))) = a(x,y,z \ (u * w)). a(x,y,z * (u * T(w,v5))) = a(x,y,z * (u * w)). a(x,y,z * (u * (w / v5))) = a(x,y,z * (u * (v5 \ w))). a(x,y,z \ (u \ T(w,v5))) = a(x,y,z \ (u \ w)). a(x,y,z \ (u * (w * (v5 * K(v6,v7))))) = a(x,y,z \ (u * (w * v5))). a(x,y,z \ (u * (w \ K(v5,v6)))) = a(x,y,z \ (u * (w \ 1))). a(x,y,z \ (u * (w * T(v5,v6)))) = a(x,y,z \ (u * (w * v5))). a(x,y,z \ (u \ (w * T(v5,v6)))) = a(x,y,z \ (u \ (w * v5))). a(x,y,L(z * K(u,w),v5,v6)) = a(x,y,L(z,v5,v6)). a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)). a(x,y,z * (u * (w / u))) = a(x,y,z * w). a(x,y,z \ (u \ (w * (v5 / w)))) = a(x,y,z \ (u \ v5)). a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). a(x,y,L(z * T(u,w),v5,v6)) = a(x,y,L(z * u,v5,v6)). a(x,y,L(z / u,w,v5)) = a(x,y,L(u \ z,w,v5)). ((x * x) / y) \ K(z,u) = y * (x \ (x \ K(z,u))). (x * y) * (z \ (z \ K(u,w))) = x * (y * ((z * z) \ K(u,w))). (x / (y \ 1)) / (z * (x / (y \ 1))) = (y \ x) / (z * (y \ x)). R(x,x,y) \ y = x * ((x * x) \ y). L(x,y,z) * R(u,x,L(x,y,z) * (x \ 1)) = (u * x) * (x \ L(T(x,u),y,z)). x \ L((y * x) / y,z,u) = T(x,y) \ L(x,z,u). L(x * K(y \ (x \ L(x,z,u)),y),z,u) = ((y \ (x \ L(x,z,u))) * y) * x. x \ L(T(x,x \ 1),y,z) = L(x,y,z) * (1 / x). K(x,y) * (x \ L(x,z,u)) = x \ L(T(x,y),z,u). K(x,y) * ((L(y,z,u) \ w) * v5) = (L(T(y,x),z,u) \ w) * v5. K(x,y) * (z * L(z \ 1,u,w)) = z * L(z \ K(x,y),u,w). (x * y) \ L(x * y,z,u) = (y * x) \ L(y * x,z,u). T(L(K(x,T(y,z)),u,w),v5 * z) = K(x,v5 / ((v5 * (y \ z)) / z)). (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). (L(x,y,z) * u) \ (x * u) = (u * L(x,y,z)) \ (u * x). (x * y) \ (L(x,z,u) * y) = (y * x) \ (y * L(x,z,u)). T(x,T(y,L(z,u,w))) = T(x,T(y,z)). ((x * y) / x) * L(x,z,u) = L(x,z,u) * y. L(x,y,z) * (x \ u) = (u / x) * L(x,y,z). (L(x \ y,z,u) * x) \ ((x \ y) * x) = (x * L(x \ y,z,u)) \ y. K(L(L(x,y,z) \ 1,u,w),x) * ((L(x,y,z) \ v5) \ (v5 * L(v5 \ (L(x,y,z) \ v5),u,w))) = L(L(x,y,z) \ 1,u,w) * L(x,y,z). T(x,y) \ T(L(x,z,u),y) = x \ L(x,z,u). K(x,y) * L(T(y,x),z,u) = L(y,z,u). (x * (y * z)) * K(u,L(w,v5,v6)) = x * (y * (z * K(u,w))). (x * L(y,z,u)) * K(y,L(w,v5,v6)) = x * L(T(y,w),z,u). K(x,T(y \ (z * u),u)) = K(x,u / (z \ y)). K(x,y) * (L(x,z,u) * w) = L(T(x,y),z,u) * w. L(x,y,z) * (L(T(x,u),y,z) \ w) = K(u,x) * w. (x * (L(x,y,z) \ u)) / x = u / L(x,y,z). (L(x,y,z) \ u) / x = (x \ u) / L(x,y,z). (x * y) / L(y,z,u) = y * (L(y,z,u) \ x). (x \ y) * (L(x \ y,z,u) \ x) = y / L(x \ y,z,u). ((1 / x) * (L(1 / x,y,z) \ u)) * x = R(u / L(1 / x,y,z),x \ 1,x). (x * (L(x,y,z) \ u)) * L(x,y,z) = u * x. (x * (L(x,y,z) \ u)) * (x \ 1) = R(u / L(x,y,z),x,x). x * (L(x,y,z) \ (u * L(x,y,z))) = u * x. (x * (L(x,y,z) \ u)) \ (u * x) = L(x,y,z). (L(R(x,y,z),u,w) \ L(x,u,w)) * R(x,y,z) = R(x,y,z) * (L(R(x,y,z),u,w) \ L(x,u,w)). K(x,(y * L(z,u,w)) \ (y * z)) = K(x,v5 \ (z * (L(z,u,w) \ v5))). L(x \ L(x,y,z),x,u) = (x * T(u,w)) \ (L(x,y,z) * T(u,w)). L(x \ L(x,y,z),x,u) = (x * u) \ (L(x,y,z) * u). (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). (x * y) \ (L(x,z,z \ y) * y) = (y * x) \ ((y / z) * (z * x)). L(L(x,y,z) \ x,L(x,y,z),u) = (L(x,y,z) * u) \ (x * u). K(x,(L(y,z,u) * w) \ (y * w)) = K(x,(v5 * L(y,z,u)) \ (v5 * y)). (L(x \ y,z,u) * x) * ((x \ y) \ y) = (x * L(x \ y,z,u)) * x. L(x \ y,z,u) * ((x \ y) \ y) = x * L(x \ y,z,u). L(x,y,z) * (x \ (u * x)) = u * L(x,y,z). R(L(x,y,z) \ u,L(x,y,z),L(x,y,z) \ x) = x \ (u * (L(x,y,z) \ x)). x * (L(y,z,u) * (y \ w)) = x * ((w / y) * L(y,z,u)). (x * y) / (L(x,z,u) * y) = (y * x) / (y * L(x,z,u)). (x * L(y,z,u)) / y = L(y,z,u) * (y \ x). L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. (L(x,y,z) * (x \ u)) * x = u * L(x,y,z). (L(x,y,z) * (x \ u)) / w = ((u / x) * L(x,y,z)) / w. x \ (L(x,y,z) * u) = (u / x) * L(x,y,z). (x \ y) * ((z * (x \ y)) \ (z * y)) = (y / x) * L(x,x \ y,z). (x * x) \ (((x * x) / y) * L(y,z,u)) = T(y \ L(y,z,u),x * x). x * ((y / x) * L(x,z,u)) = L(x,z,u) * y. (x / R(y,z,(y * z) \ x)) * L(R(y,z,(y * z) \ x),u,w) = L(R(y,z,(y * z) \ x),u,w) * (z * ((y * z) \ x)). ((x \ L(x,y,z)) * u) \ ((u / x) * L(x,y,z)) = a(x,x \ L(x,y,z),x \ u). T(x \ ((x / y) * L(y,z,u)),w) = x \ (L(y,z,u) * (y \ x)). L(x,y,z) * (a(u,w,x) * (x \ v5)) = a(u,w,x) * ((v5 / x) * L(x,y,z)). T(x,y) \ L(T(x,y),z,u) = x \ L(x,z,u). (x / y) \ L(T(y,y \ x),z,u) = (y \ x) \ L(y,z,u). L(T(x,y),z,u) \ (x * y) = L(x,z,u) \ (y * x). L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ x. a(x,y,z * (u * (w * K(v5,v6)))) = a(x,y,z * (u * w)). a(x,y,z * L(T(u,w),v5,v6)) = a(x,y,z * L(u,v5,v6)). L(T(x,x \ y),z,u) \ ((x \ y) \ y) = L(x,z,u) \ x. K(x,y) * ((z / x) * L(x,u,w)) = L(T(x,y),u,w) * (x \ z). R((x * y) / x,L(x,z,u),L(x,z,u)) = (L(x,z,u) * y) * (L(x,z,u) \ 1). ((x * y) / x) * L(L(x,z,u),w,v5) = L(L(x,z,u),w,v5) * y. (x * (L(L(x,y,z),u,w) \ v5)) / x = v5 / L(L(x,y,z),u,w). L(x,y,z) * (L(x,u,w) \ v5) = (v5 / L(x,u,w)) * L(x,y,z). K((x * K(y,z)) \ u,z) = K(x \ u,z). K((x * (y * K(z,u))) \ w,v5) = K(K(z,u) \ ((x * y) \ w),v5). K((x \ y) \ z,T(u,y)) = K((x * z) / y,u). K((x \ y) \ z,u) = K((y \ x) * z,u). K(x \ (y * z),T(u,z)) = K(z / (y \ x),u). x * K(y \ (z * x),z \ y) = ((z \ y) \ x) * (z \ y). x * ((1 / x) * K(y \ (1 / x),x * y)) = ((x * y) \ K(x,x \ 1)) * (x * y). L(L(x,y,z),u,w) * (x \ v5) = (v5 / x) * L(L(x,y,z),u,w). L(L(x,y,z),u,w) * T(v5,x) = v5 * L(L(x,y,z),u,w). L(R(x,y,z),u,w) * T(v5,x) = v5 * L(R(x,y,z),u,w). L(a(x,y,z),u,w) * (a(v5,v6,v7) \ v8) = (v8 / a(v5,v6,v7)) * L(a(x,y,z),u,w). L(L(x,y,z),u,w) * T(v5,L(x,u,w)) = v5 * L(L(x,u,w),y,z). L(x,y,z) * (x \ T(u,x)) = x \ (u * L(x,y,z)). ((x \ L(x,y,z)) * (u * x)) / ((x \ L(x,y,z)) * x) = L(x,y,z) \ ((x \ L(x,y,z)) * (x * u)). x / L(R(y,z,u) \ y,w,v5) = L(R(y,z,u) \ y,w,v5) \ x. L(x,y,(y * x) \ z) \ z = T((z / (y * x)) * y,x). (x * (T(y,x) * z)) / T(y * x,z) = L(z,y,x). L(T(x,y),z,u) * T(w,x) = K(x,y) * (w * L(x,z,u)). a(x,y,x) * (L(x,y,x) * z) = x * z. a(x,y,x) \ 1 = x \ L(x,y,x). T(a(x,y,z),u) = a(x,y,T(z,w)). a(T(x,y),z,T(u,w)) = a(x,z,u). (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),x). ((x * y) * T(z,y)) / (x * (z * y)) = a(x,y,z). (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). a(x,y,z \ (z * u)) = a(x,y,u). a(x,y,L(z,u,K(w,v5))) = a(x,y,z). a(x,y,z * K(u,z)) = a(x,y,L(z,u,z)). L(x,y,y \ L(z,u,w)) * L(z,u,w) = (L(z,u,w) / y) * (y * T(x,z)). L(R(x,y,z) \ u,w,v5) * R(T(v6,x \ u),v7,v8) = R(v6,v7,v8) * L(R(x,y,z) \ u,w,v5). L(x,y,z) * (T(u,x) * K(w,v5)) = u * L(x * K(w,v5),y,z). (L(x \ ((x * (y * x)) / x),z,u) * x) * ((x \ ((x * (y * x)) / x)) \ ((x * (y * x)) / x)) = (x * L(a(x,y,x) \ y,z,u)) * x. L(x,y,z) * (u * x) = x * (u * L(x,y,z)). (x / (L(y,z,u) * K(w,v5))) * y = y * (L(y,z,u) \ (x * K(v5,w))). (x * y) / (L(x,z,u) * y) = (y * L(x,z,u)) \ (y * x). x * (L(x,y,z) \ (u / x)) = u / L(x,y,z). ((x \ y) * x) / L(x,z,u) = L(x,z,u) \ y. (L(x,y,z) \ (L(x,u,w) \ x)) * L(x,y,z) = (L(x,u,w) \ 1) * x. (L(x,y,z) \ u) * L(x,y,z) = (x \ u) * x. (L(x,y,z) * u) * x = (x * u) * L(x,y,z). (x * y) / (L(y \ 1,z,u) * (y * y)) = (y \ 1) * (L(y \ 1,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,R(z,y,x)) \ (z * y)) = R(z,y,x) * y. (x * (L(x,y,z) \ u)) * x = x * (L(x,y,z) \ (u * x)). T(x * (L(x,y,z) \ u),L(x,y,z)) = L(x,y,z) \ (u * x). x * (L(x,y,z) \ (u / (x \ 1))) = (u * (x * x)) / L(x,y,z). (x * (L(x,y,z) \ x)) \ 1 = L(x,y,z) / (x * x). (x \ y) * (L(x \ y,z,u) \ T(x,w)) = (K(x,w) * y) / L(x \ y,z,u). (x * (L(x,y,z) \ u)) \ (x * u) = L(x,y,z) * K(x,u). T(x * (L(x,y,z) \ u),x) = L(x,y,z) \ (u * x). T((x \ y) * (L(x \ y,z,u) \ x),x \ y) = L(x \ y,z,u) \ y. (((x \ 1) \ 1) * (L((x \ 1) \ 1,y,z) \ ((x \ 1) * u))) * L((x \ 1) \ 1,y,z) = ((1 / x) * u) * x. R(L(x,y,z),u,L(L(x,y,z) \ x,L(x,y,z),u)) \ (x * u) = u * ((L(x,y,z) * u) \ (x * u)). ((x * y) * x) \ (L(y * x,z,u) * T(x,y)) = L((y * x) \ L(y * x,z,u),y * x,x). L(T(x \ L(x,y,z),u),x,w) = (x * w) \ (L(x,y,z) * w). (L(x,y,z) * (z * y)) / T(x * (z * y),(z * y) \ (x \ (L(x,y,z) * (z * y)))) = ((z * y) * x) \ (z * (y * x)). K(x,y) * ((y / z) * (z * x)) = L(x,z,z \ y) * y. (x \ 1) \ L(x,y,z) = L(x,y,z) * x. L(x \ y,z,u) \ T(y / x,x) = L(y / x,z,u) \ (y / x). (x \ (L(x,y,z) * u)) * x = u * L(x,y,z). (x * ((y * L(y \ 1,z,u)) * y)) / y = L(y \ 1,z,u) * ((y \ 1) \ x). (x * L(L(y,z,u),w,v5)) / L(y,w,v5) = L(L(y,w,v5),z,u) * (L(y,w,v5) \ x). L(x,x,y) * (x \ y) = (y / (x \ 1)) / x. L(x,y,y \ z) * (x \ z) = ((z / y) * (y * x)) / x. T(L(L(x,y,z),u,w) * (L(x,y,z) \ v5),x) = L(x,y,z) \ (v5 * L(L(x,y,z),u,w)). L(x,y,z) * (z * y) = x * ((z * (y * x)) / x). L(L(x,y,z) \ x,L(x,y,z) \ x,u) * ((L(x,y,z) \ x) \ (u * (L(x,y,z) \ x))) = (u * (x * (L(x,y,z) \ (L(x,y,z) \ x)))) / (L(x,y,z) \ x). (x * y) \ (L(z,y,x) * (z \ (x * y))) = ((x * (y * z)) / z) / (x * y). ((x * y) \ (L(z,y,x) * (z \ (x * y)))) \ u = u / ((x * y) \ ((x * (y * z)) / z)). (x / R(y,z,(y * z) \ x)) * L(R(y,z,(y * z) \ x),u,w) = (L(y,u,w) * z) * ((y * z) \ x). (x \ ((1 / y) \ z)) * K(u,w \ ((1 / w) \ z)) = x \ ((K(z,u) / y) \ z). K(x,(L(y,z,u) * w) \ (y * w)) = K(x,v5 \ (y * (L(y,z,u) \ v5))). ((x * y) / x) * L(L(x,z,u),w,v5) = L(L(x,w,v5),z,u) * y. L(L(x,y,z),u,x) * (u * x) = L(x,u,x) * (u * L(x,y,z)). L(L(x,y,z),u,w) * (L(x,v5,v6) \ v7) = (v7 / L(x,v5,v6)) * L(L(x,y,z),u,w). (1 / L(x,y,z)) * L(x,u,w) = L(x,y,z) \ L(x,u,w). K((x * K(y,z)) \ (u \ w),v5) = K(K(y,z) \ ((u * x) \ w),v5). x * K((y \ z) * x,z \ y) = ((z \ y) \ x) * (z \ y). x * K(y * (x / z),z / y) = ((y \ z) \ x) * (y \ z). K(L(x,y,z),u) * ((w / L(x,y,z)) * L(L(x,y,z),v5,v6)) = L(L(T(x,u),y,z),v5,v6) * (L(x,y,z) \ w). K(R(x,y,z),u) * ((w / R(x,y,z)) * L(R(x,y,z),v5,v6)) = L(R(T(x,u),y,z),v5,v6) * (R(x,y,z) \ w). L(L(x,y,z),u,w) * T(v5,x) = v5 * L(L(x,u,w),y,z). (1 / x) * L(L(x,y,z),u,w) = x \ L(L(x,y,z),u,w). L(a(x,y,z),u,u \ (a(w,v5,v6) \ v7)) * (a(w,v5,v6) \ v7) = ((v7 / a(w,v5,v6)) / u) * (u * a(x,y,z)). (x * (y * z)) / T(y * x,K(x,y) * z) = L(K(x,y) * z,y,x). K(x,y) * (z * L(x,T(x,y) \ 1,T(x,y))) = (1 / (1 / T(x,y))) * T(z,x). x * L(y * K(x * y,x),z,u) = L(y,z,u) * R(x,y,x). (x / L(y * K(z,u),w,v5)) * y = y * (L(y,w,v5) \ (x * K(u,z))). L(R(x,y,L(L(x,z,u) \ x,L(x,z,u),y)),z,u) \ (x * y) = y * ((L(x,z,u) * y) \ (x * y)). x \ ((x * y) * L(x,z,u)) = T(L(x,z,u) * y,x). x \ T(L(y,z,u) * x,y) = L(R(y,x,y),z,u). L((x \ y) \ y,z,u) \ ((x \ y) \ y) = L(x,z,u) \ x. L(x / y,z,u) \ (x / y) = L(y \ x,z,u) \ (y \ x). T(x \ ((K(y,z) / x) \ y),z) = x \ ((1 / x) \ y). T(x,y) * R(L(L(y,z,u),w,v5),T(x,y),L(L(y,z,u),w,v5)) = T(x * L(L(y,w,v5),z,u),L(L(y,z,u),w,v5)). L(x,y,y \ z) * z = x * (((z / y) * (y * x)) / x). ((x / y) * (y * (x \ 1))) / (x \ 1) = L(x \ 1,y,y \ x) * (x * x). (x / L(y * K(z,u),w,v5)) * y = y * ((L(y,w,v5) \ x) * K(u,z)). (x * y) / (y * (y * L(y \ 1,z,u))) = (y \ 1) * (L(y \ 1,z,u) \ x). L(x,y,z) \ (x * (u / x)) = u / L(x,y,z). x * (L(x,y,z) \ (u / (x \ 1))) = u / (L(x,y,z) / (x * x)). (x * (L(x,y,z) \ x)) \ 1 = L(x \ 1,y,z). (x * (L(x,y,z) \ u)) \ (x * u) = L(T(x,u),y,z). (x \ y) * (L(x \ y,z,u) \ T(x,w)) = K(x,w) * (y / L(x \ y,z,u)). 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)). x \ ((x * (L(x,y,z) \ u)) * (x \ 1)) = (L(x,y,z) \ (u * x)) / (x * x). T(((L(x,y,z) * u) \ (x * u)) * K(w,v5 \ (x * (L(x,y,z) \ v5))),w) = (L(x,y,z) * u) \ (x * u). K(x,y) * ((z / L(x,u,w)) * L(L(x,u,w),v5,v6)) = L(L(T(x,y),u,w),v5,v6) * (L(x,u,w) \ z). K(x,y) * ((z / R(x,u,w)) * L(R(x,u,w),v5,v6)) = L(R(T(x,y),u,w),v5,v6) * (R(x,u,w) \ z). K(x,y) * (z * L(x,T(x,y) \ 1,T(x,y))) = T(1 / (1 / x),y) * T(z,x). x \ (((y * K(z,u)) / y) * L(L(y,w,v5),v6,v7)) = (x \ L(L(y,v6,v7),w,v5)) * K(z,u). T(((x * y) / x) * L(L(x,z,u),w,v5),L(L(x,w,v5),z,u)) = y * R(L(L(x,w,v5),z,u),y,L(L(x,w,v5),z,u)). L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u). (L(x * y,z,u) \ (x * y)) \ (y * x) = L((x * y) * K(y,x),z,u). (x * y) / (L(x,z,u) * y) = (L(x,z,u) * y) \ (x * y). R(x,x \ (a(y,z,u) \ w),a(y,z,u)) \ w = a(y,z,u) * (x \ (a(y,z,u) \ w)). L(R(x,a(y,y,x),z),y,y) \ (x * z) = a(y,y,x) * z. a(x / (L(y,z,z) * K(u,w)),L(y,z,z),a(z,z,y)) = ((x / (L(y,z,z) * K(u,w))) * y) \ (a(z,z,y) * (x * K(w,u))). a(a(x,x,y),L(y,x,x),z) \ (y * z) = L(y,x,x) * (a(x,x,y) * z). R(x,y,(z * (u * u)) \ w) = R(x,y,z \ (w / (u * u))). R(x,y,(z / (u * u)) \ w) = R(x,y,z \ (w * (u * u))). (L(x * y,z,u) \ (x * y)) \ (y * x) = L(y * x,z,u). (L(x / y,z,u) \ (x / y)) * w = w * (L(y \ x,z,u) \ (y \ x)). K(x,y * (L(y \ 1,z,u) \ (y \ 1))) = K(x,y). x \ (K(y,T(z,u)) * L(L(u,w,v5),v6,v7)) = (x \ L(L(u,v6,v7),w,v5)) * K(y,z). T(((x * y) / x) * L(L(x,z,u),w,v5),L(L(x,w,v5),z,u)) = y * L(R(L(x,w,v5),y,L(L(x,w,v5),z,u)),z,u). L(L(x,y,z) \ x,u,w) \ (((L(x,y,z) \ x) * u) * w) = w * (u * K(x * (L(x,y,z) \ u),w)). x * ((L(y,z,u) * x) \ (y * x)) = L(y,z,u) \ (y * x). T(x \ ((1 / x) \ a(y,z,u)),w) = x \ ((1 / x) \ a(y,z,u)). T(((L(x,y,z) * u) \ (x * u)) * K(w,L(x,y,z) \ x),w) = (L(x,y,z) * u) \ (x * u). L(x * y,z,u) \ (x * y) = L(y * x,z,u) \ (y * x). (L(x,y,y \ z) * z) \ (x * z) = a(y \ z,y,x). R(x,y,(z \ 1) \ u) = R(x,y,z \ u). a(x,y,L(z,u,w * v5)) = a(x,y,L(z,u,v5 * w)). K(x,y) * ((y / L(y,z,z \ 1)) * (L(y,z,z \ 1) * x)) = L(x,L(y,z,z \ 1),a(z \ 1,z,y)) * y. (T(x,y) / y) * L(y,z,u) = y \ (x * L(y,z,u)). (x \ (y * L(x,z,u))) * x = T(y,x) * L(x,z,u). L(x,y,z) * (T(x,u) \ u) = x \ (u * L(x,y,z)). x \ ((y / x) * L(x,z,u)) = ((x \ y) / x) * L(x,z,u). ((x \ 1) / x) * L(x,y,z) = L(x \ 1,y,z). (L(a(x,y,z),u,w) * v5) * T(v6,(v5 / a(x,y,z)) * L(a(x,y,z),u,w)) = v6 * (((v5 / a(x,y,z)) * L(a(x,y,z),u,w)) * a(x,y,z)). L(x,y,z) * ((x * (L(x,y,z) \ u)) * L(L(x,y,z),w,v5)) = L(L(x,y,z),w,v5) * (u * x). (((x * (L(y,z,u) * (y \ K(w,v5)))) / (y \ K(w,v5))) \ (x * L(y,z,u))) \ (x * L(y,z,u)) = (x * (K(w,v5) * (y \ L(y,z,u)))) / (y \ K(w,v5)). L(x,y,a(z,u,w)) * ((a(z,u,w) \ 1) * y) = (x * y) * (a(z,u,w) \ 1). L(x,y,z) \ ((u / x) * L(x,w,v5)) = x \ (L(x,y,z) \ (L(x,w,v5) * u)). (x / (y \ R(y,z,u))) * L(y \ R(y,z,u),y,u * z) = (y \ R(y,z,u)) \ (a(y,z,u) * x). (L(x,y,z) * u) / T(x * w,w \ ((u / x) * L(x,y,z))) = (x * w) \ (L(x,y,z) * u). K(x,y) * ((z / R(y,u,w)) * L(R(y,u,w),v5,v6)) = R(T(y,x),u,w) \ (L(R(y,u,w),v5,v6) * z). (L(x,y,z) * (z * y)) / T(x * (z * y),(z * y) \ (((z * y) / x) * L(x,y,z))) = ((z * y) * x) \ (z * (y * x)). x \ L(T(x,x \ 1),y,z) = x * L(1 / x,y,z). R(x,y,(z / u) \ w) = R(x,y,(u \ z) \ w). T(1 / (1 / x),y) * T(z,x) = K(x,y) * (z * (1 / (1 / x))). (a(x,y,z) \ u) * K(w \ u,w) = (w \ (a(x,y,z) \ u)) * w. K(x \ y,x) * ((y / L(x,z,u)) * w) = (L(x,z,u) \ y) * w. L(L(x,y,z),u,w) / x = x \ L(L(x,y,z),u,w). ((x \ (y * z)) \ u) * L((y \ x) \ z,y \ x,y) = (((y \ x) \ z) \ u) * ((y \ x) \ z). (1 / L(x,y,z)) * ((x \ u) * x) = T((1 / L(x,y,z)) * u,x). (x * L(L(x,y,z),u,w)) * L(v5,x,L(L(x,y,z),u,w)) = x * (L(L(x,y,z),u,w) * v5). K(T(x,y) / y,z) = K(y \ x,z). T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. (x * (y * (y * L(y \ 1,z,u)))) / y = L(y \ 1,z,u) * ((y \ 1) \ x). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). a(x,y,x) \ (z * (a(x,y,x) * u)) = z * u. (a(x,y,x) * z) * u = z * (u * a(x,y,x)). (x * a(y,z,y)) * u = x * (u * a(y,z,y)). L(a(x,y,x),z,u) = a(x,y,x). (x * y) \ (x * (a(z,u,z) * (y * w))) = L(w * a(z,u,z),y,x). (x * (y * a(z,u,z))) \ w = (x * y) \ (a(z,u,z) \ w). (1 / x) * (y * a(z,u,z)) = (a(z,u,z) / x) * y. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). L(x,a(y,z,y),u) = x. (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). a(x,a(y,z,y),u) = 1. (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). (a(x,y,x) \ z) * (a(x,y,x) * u) = z * u. L(x,y,x) * (a(x,y,x) * z) = x * z. (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). a(x,y,x) \ (z \ u) = z \ (a(x,y,x) \ u). a(x,y,x) * (z \ (a(x,y,x) \ u)) = z \ u. a(x,y,x) \ (x \ z) = R(x,y,x) \ z. a(x,y,x) \ (L(x,y,x) \ z) = x \ 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). x * (a(x,y,x) \ z) = L(x,y,x) * z. (a(x,y,x) / z) * (a(x,y,x) \ u) = (1 / z) * u. a(x,y,x) \ (z \ (a(x,y,x) * u)) = z \ u. a(x,y,x) * (z \ 1) = z \ a(x,y,x). (x \ 1) \ (((x \ 1) * (y * a(z,u,z))) * w) = (1 / x) \ (((a(z,u,z) / x) * y) * w). a(x,y,x) \ (z / x) = z / R(x,y,x). (x * (a(y,z,y) * u)) * w = a(y,z,y) * ((x * u) * w). a(x,y,x) \ (z * x) = z * L(x,y,x). x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). (x * (a(y,z,y) * (u * w))) \ ((x * u) * (a(y,z,y) * w)) = a(x,u,a(y,z,y) * w). (x * (a(y,z,y) * u)) \ w = a(y,z,y) \ ((x * 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(x,y,x) * (z \ (u * (a(x,y,x) \ w))) = z \ (u * w). L(L(x,y,y),a(y,y,x),x \ z) \ z = T((z / x) * a(y,y,x),x). a(x,y,a(z,u,z)) = 1. x * a(y,z,a(u,w,u)) = x. (x * (x * (x \ y))) / ((x * x) * (x \ y)) = (x \ y) \ L(x \ y,x,x). T(((x * y) / x) * L(L(x,z,u),w,v5),L(L(x,w,v5),z,u)) = y * L(L(R(x,y,L(L(x,w,v5),z,u)),w,v5),z,u). R(x,y,K(z,u) * (w * v5)) = R(x,y,v5 * w). R(x,y,((z / u) \ w) * v5) = R(x,y,((u \ z) \ w) * v5). R(x,y,(T(z,u) \ w) * v5) = R(x,y,(z \ w) * v5). R(x,y,((z \ 1) \ u) \ (z * u)) = R(x,y,(u / (z \ 1)) * (z * u)). R(x,y,z * (u * z)) = R(x,y,L(u,z,z)). R(x,y,((z \ 1) * u) * w) = R(x,y,w * (u * z)). R(x,y,z * ((u / w) \ v5)) = R(x,y,z * ((w \ u) \ v5)). R(x,y,z * ((u * w) * v5)) = R(x,y,z * ((w * u) * v5)). R(x,y,z * ((u * (w * w)) \ v5)) = R(x,y,z * (u \ (v5 / (w * w)))). R(x,y,z * ((u * u) \ (w \ v5))) = R(x,y,z * (w \ ((u * u) \ v5))). L(x,y,x) * (x \ z) = a(x,y,x) \ z. (L(x,y,x) * z) \ (x * z) = a(x,y,x). a(x,y,x) \ ((L(x,y,x) * z) \ u) = (x * z) \ u. T(x,y \ (L(z,u,z) \ w)) = T(x,y \ (z \ w)). R(x,y,z \ ((u / (w * w)) \ v5)) = R(x,y,z \ (u \ (v5 * (w * w)))). R(x,y,T(z / u,w) * v5) = R(x,y,(u \ z) * v5). R(a(x \ y,x,z) \ 1,a(x \ y,x,z),(x \ y) * (x * z)) = (a(x \ y,x,z) \ (y * z)) / (y * z). R(x,y,(z \ u) * (z * u)) = R(x,y,a(z \ u,z,u)). a(x / (L(y,z,z) * K(u,w)),L(y,z,z),a(z,z,y)) = ((x / L(y * K(u,w),z,z)) * y) \ (a(z,z,y) * (x * K(w,u))). ((1 / x) \ a(y,z,u)) / x = x \ ((1 / x) \ a(y,z,u)). (x \ ((1 / x) \ a(y,z,u))) * w = w * (x \ ((1 / x) \ a(y,z,u))). T(((L(x,y,z) * u) \ (x * u)) * 1,w) = (L(x,y,z) * u) \ (x * u). L(x,a(y,z,u) \ 1,w) * ((a(y,z,u) \ 1) * w) = x * ((w * ((a(y,z,u) \ 1) * x)) / x). x * ((y * ((z \ 1) * x)) / x) = y * ((z \ 1) * T(x,y / z)). (a(x,y,z) * (u * w)) / w = w \ (a(x,y,z) * (w * u)). L(x,y,x \ 1) * ((x \ 1) * y) = x * (L(x \ 1,y,x \ 1) * y). ((x * y) / z) * L(T(z,u),y,x) = (x * (y * T(z,u))) / z. ((x / y) * (y * (x \ 1))) / (x \ 1) = x * (x * L(x \ 1,y,y \ x)). x * (L(x,y,z) \ (u / (x \ 1))) = u / L(x \ 1,y,z). (L(x,y,z) \ (u * x)) / (x * x) = x \ R(u / L(x,y,z),x,x). (x * y) / (y * (y \ L(y,z,u))) = (y \ 1) * (L(y \ 1,z,u) \ x). L(L(T(x,y),z,u),w,v5) * (((x * (L(x,z,u) \ y)) \ (x * y)) \ (x * y)) = (x * (L(x,z,u) \ y)) * L((x * (L(x,z,u) \ y)) \ (x * y),w,v5). a(x,y,(z * u) * K(w,v5)) = a(x,y,u * z). a(x,y,(z \ (u * w)) * K(v5,v6)) = a(x,y,z \ (w * u)). a(x,y,z * (u \ 1)) = a(x,y,u * z). a(x,y,L(L(z,u,w),v5,v6) * v7) = a(x,y,v7 * L(L(z,v5,v6),u,w)). a(x,y,z \ (u * (w * w))) = a(x,y,(w * w) * (z \ u)). a(x,y,(z \ 1) * L(z,u,w)) = a(x,y,z \ L(z,u,w)). a(x,y,(z * u) * L(L(z,w,v5),v6,v7)) = a(x,y,z * (L(L(z,w,v5),v6,v7) * u)). a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)). a(x,y,L(L(z,u,w) * K(v5,v6),v7,v8)) = a(x,y,L(L(z,v7,v8),u,w)). a(x,y,z * (u * K(w,v5))) = a(x,y,u * z). a(x,y,(z * K(u,w)) * v5) = a(x,y,v5 * z). a(x,y,z * (K(u,w) * v5)) = a(x,y,z * v5). a(x,y,z * (u * ((w \ v5) \ v5))) = a(x,y,z * (u * w)). a(x,y,z * R(u * K(w,v5),v6,v7)) = a(x,y,z * R(u,v6,v7)). a(x,y,z * (u * (w * v5))) = a(x,y,z * (u * (v5 * w))). a(x,y,z * (u * (w \ K(v5,v6)))) = a(x,y,z * (u * (w \ 1))). a(x,y,z * (u \ T(w,v5))) = a(x,y,z * (u \ w)). a(x,y,z * ((u * w) \ ((w * v5) * u))) = a(x,y,z * L(v5,w,u)). a(x,y,z * (u \ (w * T(v5,v6)))) = a(x,y,z * (u \ (w * v5))). a(x,y,z * (u * (w * T(v5,v6)))) = a(x,y,z * (u * (w * v5))). a(x,y,z * L(u * K(w,v5),v6,v7)) = a(x,y,z * L(u,v6,v7)). a(x,y,z * (u \ (w / v5))) = a(x,y,z * (u \ (v5 \ w))). a(x,y,z * L(u / w,v5,v6)) = a(x,y,z * L(w \ u,v5,v6)). a(x,y,L(z * u,w,v5)) = a(x,y,L(u * z,w,v5)). a(x,y,z \ (L(u,w,v5) * (v5 * w))) = a(x,y,z \ (v5 * (w * u))). a(x,y,z \ (u * (w / v5))) = a(x,y,z \ (u * (v5 \ w))). a(x,y,z \ (T(u,w) * v5)) = a(x,y,z \ (u * v5)). a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). a(x,y,z \ (T(u,w) \ v5)) = a(x,y,z \ (u \ v5)). a(x,y,z \ (u * ((w \ v5) * w))) = a(x,y,z \ (u * v5)). a(x,y,z \ (u \ (w * K(v5,v6)))) = a(x,y,z \ (u \ w)). a(x,y,z \ (u \ ((w \ v5) * w))) = a(x,y,z \ (u \ v5)). a(x,y,z \ (u \ (w * v5))) = a(x,y,z \ (u \ (v5 * w))). a(x,y,z \ (u * (w * (v5 / v6)))) = a(x,y,z \ (u * (w * (v6 \ v5)))). a(x,y,z \ (u \ (w \ T(v5,v6)))) = a(x,y,z \ (u \ (w \ v5))). a(x,y,z \ (u \ (w / v5))) = a(x,y,z \ (u \ (v5 \ w))). a(x,y,z / (u / (w * w))) = a(x,y,u \ (z * (w * w))). a(x,y,(z * u) * w) = a(x,y,w * (u * z)). a(x,y,L(z,u,w) * (u * w)) = a(x,y,w * (u * z)). a(x,y,T(z / u,w)) = a(x,y,u \ z). a(x,y,(z * z) \ (u * w)) = a(x,y,u * (w / (z * z))). a(x,y,(z / u) * L(z / u,w \ 1,w)) = a(x,y,a(w,w \ 1,u \ z)). a(x,y,z * ((u * u) \ u)) = a(x,y,z * (u \ 1)). a(x,y,z * (L(u,w,v5) \ (v6 * u))) = a(x,y,z * (u * (L(u,w,v5) \ v6))). a(x,y,z * (u / (w * (v5 * v5)))) = a(x,y,z * (w \ (u / (v5 * v5)))). a(x,y,z * ((u * u) \ (w * v5))) = a(x,y,z * (w * (v5 / (u * u)))). a(x,y,z * ((u * u) \ (w \ v5))) = a(x,y,z * (w \ (v5 / (u * u)))). a(x,y,z * ((u * u) \ (w \ u))) = a(x,y,z * (w \ (u \ 1))). a(x,y,z * R(u * K(w,u),w,v5)) = a(x,y,z * ((w * v5) \ ((w * u) * v5))). a(x,y,z * ((u \ w) \ w)) = a(x,y,u * z). a(x,y,z \ ((u \ w) * (L(u \ w,v5,v6) \ u))) = a(x,y,z \ (L(u \ w,v5,v6) \ w)). a(x,y,z \ (u * (T(w,v5) * v6))) = a(x,y,z \ (u * (w * v6))). a(x,y,z \ (u * (K(w,v5) * v6))) = a(x,y,z \ (u * v6)). a(x,y,z \ (u * (w \ T(v5,v6)))) = a(x,y,z \ (u * (w \ v5))). a(x,y,z \ (u * (w * (v5 * (v6 / v7))))) = a(x,y,z \ (u * (w * (v5 * (v7 \ v6))))). a(x,y,z \ (u * (w \ (v5 \ T(v6,v7))))) = a(x,y,z \ (u * (w \ (v5 \ v6)))). a(x,y,z \ (u * (w \ (v5 / v6)))) = a(x,y,z \ (u * (w \ (v6 \ v5)))). a(x,y,(z * u) / w) = a(x,y,w \ (u * z)). a(x,y,z \ ((u * u) * (w * v5))) = a(x,y,z \ (w * (v5 * (u * u)))). a(x,y,L(z \ u,z,w)) = a(x,y,(w * z) \ (u * w)). a(x,y,(z * u) \ ((w * u) * z)) = a(x,y,L(T(w,u),u,z)). a(x,y,(z * z) \ ((u \ (z * z)) * w)) = a(x,y,T(w * (u \ 1),z * z)). a(x,y,(z * z) \ (u * z)) = a(x,y,L(z \ u,z,z)). a(x,y,z \ (K(u,w) * (R(v5,v6,v7) * v8))) = a(x,y,z \ (v8 * R(K(u,w) * v5,v6,v7))). a(x,y,z \ ((u * w) * (1 / u))) = a(x,y,z \ L(w,u,u \ 1)). a(x,y,((z * u) * w) \ (R(w,u,z) * (z * u))) = a(x,y,a(w,u,z)). a(x,y,(z * u) \ ((z * w) * u)) = a(x,y,L(K(u,z) * w,z,u)). a(x,y,z \ ((u * u) * ((u * w) \ w))) = a(x,y,z \ ((w / (u \ 1)) / w)). a(x,y,(z / (u \ 1)) \ (u * z)) = a(x,y,a(z,u,u)). a(x,y,z * (u * T(w,v5))) = a(x,y,(u * w) * z). a(x,y,z * (u * L(w / v5,v6,v7))) = a(x,y,z * (u * L(v5 \ w,v6,v7))). a(x,y,z * (u * ((w * w) \ (v5 * w)))) = a(x,y,z * (u * (v5 * (w \ 1)))). a(x,y,(z \ K(u,w)) * v5) = a(x,y,v5 * (z \ 1)). a(x,y,L((z * z) \ (u * z),w,v5)) = a(x,y,L(L(z \ u,w,v5),z,z)). a(x,y,z * (u * ((w * w) \ (v5 \ w)))) = a(x,y,z * (u * (v5 \ (w \ 1)))). a(x,y,z \ (u \ ((w \ v5) * (w * w)))) = a(x,y,z \ (u \ (v5 / (w \ 1)))). a(x,y,z \ (u * (w * (v5 \ T(v6,v7))))) = a(x,y,z \ (u * (w * (v5 \ v6)))). a(x,y,z \ (u * (w * (v5 \ (v6 \ T(v7,v8)))))) = a(x,y,z \ (u * (w * (v5 \ (v6 \ v7))))). a(x,y,z \ (u * (w * (v5 \ (v6 / v7))))) = a(x,y,z \ (u * (w * (v5 \ (v7 \ v6))))). a(x,y,z \ ((u * T(w,v5)) * v6)) = a(x,y,z \ (v6 * (u * w))). a(x,y,z \ (u * (w * ((v5 * v5) \ (v6 * (v7 * v5)))))) = a(x,y,z \ (u * (w * (v6 * (v7 * (v5 \ 1)))))). a(x,y,z \ ((u \ K(w,v5)) * v6)) = a(x,y,z \ (v6 * (u \ 1))). a(x,y,z \ (u \ (w * L(v5 / v6,v7,v8)))) = a(x,y,z \ (u \ (w * L(v6 \ v5,v7,v8)))). a(x,y,z \ (u \ (w * ((v5 \ v6) * (v5 * v5))))) = a(x,y,z \ (u \ (w * (v6 / (v5 \ 1))))). a(x,y,z \ (u / (w / (v5 * v5)))) = a(x,y,z \ (w \ (u * (v5 * v5)))). a(x,y,z \ ((u * u) \ (w * v5))) = a(x,y,z \ (w * (v5 / (u * u)))). a(x,y,z \ ((u \ 1) \ (w * (v5 * (u \ 1))))) = a(x,y,z \ ((w * (v5 * u)) / u)). a(x,y,L(z,z,u)) = a(x,y,u \ ((z \ 1) \ u)). a(x,y,(z / u) * w) = a(x,y,(u \ z) * w). a(x,y,L(z / u,w,v5) * v6) = a(x,y,L(u \ z,w,v5) * v6). a(x,y,z \ (u \ ((w \ 1) * ((v5 * (v6 * w)) / w)))) = a(x,y,z \ (u \ (v5 * (v6 * (w \ 1))))). a(x,y,L(z,u,z)) = a(x,y,z). a(x,y,L(K(z,u) * w,v5,v6)) = a(x,y,L(w,v5,v6)). a(x,y,L(z * (u * w),v5,v6)) = a(x,y,L(z * (w * u),v5,v6)). a(x,y,L(z * ((u \ w) * u),v5,v6)) = a(x,y,L(z * w,v5,v6)). a(x,y,L(z \ T(u,w),v5,v6)) = a(x,y,L(z \ u,v5,v6)). a(x,y,L(z * (u * (w / v5)),v6,v7)) = a(x,y,L(z * (u * (v5 \ w)),v6,v7)). a(x,y,L(z \ (u / w),v5,v6)) = a(x,y,L(z \ (w \ u),v5,v6)). a(x,y,L(L(z / u,w,v5),v6,v7)) = a(x,y,L(L(u \ z,w,v5),v6,v7)). a(x,y,L(z * (u * (w * K(v5,v6))),v7,v8)) = a(x,y,L(z * (u * w),v7,v8)). a(x,y,L((z * z) \ (u * z),w,v5)) = a(x,y,L(u * (z \ 1),w,v5)). a(x,y,L(z * L(u / w,v5,v6),v7,v8)) = a(x,y,L(z * L(w \ u,v5,v6),v7,v8)). a(x,y,z * (u * (K(w,v5) * v6))) = a(x,y,z * (u * v6)). a(x,y,T(z,u) * L(T(w,v5),v6,v7)) = a(x,y,z * L(w,v6,v7)). a(x,y,(z * u) * w) = a(x,y,(u * z) * w). a(x,y,(L(z,u,w) * (w * u)) * v5) = a(x,y,(w * (u * z)) * v5). a(x,y,((z * z) * (u * w)) * v5) = a(x,y,(u * (w * (z * z))) * v5). a(x,y,((z * z) \ (u \ z)) * w) = a(x,y,(u \ (z \ 1)) * w). a(x,y,(L(z,z,u) * u) * w) = a(x,y,(u / (z \ 1)) * w). a(x,y,L(T(z,u),w,v5) \ v6) = a(x,y,L(z,w,v5) \ v6). a(x,y,(z / u) \ w) = a(x,y,(u \ z) \ w). a(x,y,(z * (u * w)) \ (K(u,w) * v5)) = a(x,y,(z * (w * u)) \ v5). a(x,y,T(z,u)) != w | a(x,y,z) = w. T(x,y \ 1) / (y * (x * (y \ 1))) = a(y,y \ 1,x). (((a(x,y,z) * a(u,w,v5)) * v6) * T(v7,v6)) / ((v7 * v6) * (a(u,w,v5) * a(x,y,z))) = a(a(x,y,z) * a(u,w,v5),v6,v7). (x * (L(x,y,z) \ x)) * T(u,L(x,y,z) \ x) = x * (u * R(L(x,y,z) \ x,x,u)). (x * y) * R(z \ L(z,u,w),y,x) = ((z \ L(z,u,w)) * y) * T(x,y). a(x,y,R(z,u,z)) = a(x,y,z). R(x / T(y,z),y,y) = x * (T(y,z) \ 1). (x \ (y * y)) * (y \ (y \ K(z,u))) = x \ K(z,u). (x * y) * (z \ (z \ K(u,w))) = x * (y * (z \ (z \ K(u,w)))). R(x,y,L(x,z,u)) = R(x,y,x). ((x * (y * y)) * ((y * y) \ z)) / z = R(x,y * y,z). R(x,x,y) * ((x * x) \ y) = x \ y. x * (R(x,x,y) \ y) = L(y,x,x). R(x,y,a(z * u,z,u) * K(u,(z * u) * z)) = R(x,y,u * ((z * u) * z)). ((x \ 1) \ y) / (z * ((x \ 1) \ y)) = (x \ y) / (z * (x \ y)). (L(a(x,x,y),L(y,x,x),L(y,x,x) \ z) * z) \ (a(x,x,y) * z) = ((L(y,x,x) \ z) * y) \ (a(x,x,y) * ((L(y,x,x) \ z) * L(y,x,x))). (L(x,L(y,z,z),a(z,z,y)) * y) \ (x * y) = a(L(y,z,z) \ y,L(y,z,z),x). ((L(x,y,z) / u) * (u * T(w,x))) \ (w * L(x,y,z)) = a(u \ L(x,y,z),u,w). L((x \ 1) * y,z,u) \ ((x \ 1) * y) = L(y * x,z,u) \ (y * x). (x \ L(x,y,z)) * (x \ K(u,w)) = L(x \ K(u,w),y,z). K(x,y) * L(z,u,w) = L(K(x,y) * z,u,w). (K(x,y) * z) * L((K(x,y) * z) \ u,w,v5) = L(u / z,w,v5) * z. K(x,y) * L(T(x,y) \ z,u,w) = L(x \ z,u,w). (x \ K(y,z)) \ L(x \ K(y,z),u,w) = x * L(x \ 1,u,w). K(x,y) * L(x * z,u,w) = L(T(x,y) * z,u,w). (K(x,y) * z) * L((K(x,y) * z) \ u,w,v5) = z * L(z \ u,w,v5). (K(x,y) * z) * L(z \ x,u,w) = z * L(z \ T(x,y),u,w). T((x * y) \ L(x * y,z,u),w) = (y * x) \ L(y * x,z,u). T((R(x \ 1,y,z) * ((x \ 1) \ u)) / u,x \ 1) = R(x * R(x \ 1,y,z),x \ 1,x \ u). T((((x \ 1) \ y) * z) * (((x \ 1) \ y) \ 1),(x \ 1) \ y) = R(z,(x \ 1) \ y,x \ y). R(x * K((y \ 1) \ z,x),(y \ 1) \ z,y \ z) = (((y \ 1) \ z) * x) * (((y \ 1) \ z) \ 1). R(x,y,((z * z) / u) \ w) = R(x,y,(u / (z * z)) \ w). R(x,y,(z * (u * u)) \ w) = R(x,y,z \ w). R(x,y,((z * z) \ u) \ w) = R(x,y,u \ (w * (z * z))). R(x,y,(z * (u / (w * w))) \ v5) = R(x,y,(z * u) \ (v5 * (w * w))). R(x,y,(z \ u) \ (w * (u * u))) = R(x,y,(z \ (u \ 1)) \ w). L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). L(x,y,z \ (u \ (w * v5))) = L(x,y,z \ (u \ (v5 * w))). L(x,y,z \ (u \ (w / v5))) = L(x,y,z \ (u \ (v5 \ w))). L(x,y,z * ((u * u) \ (w * v5))) = L(x,y,z * (w * ((u * u) \ v5))). L(x,y,L(z \ T(u,w),v5,v6)) = L(x,y,L(z \ u,v5,v6)). L(x,y,(K(z,u) * w) \ v5) = L(x,y,w \ v5). L(x,y,z \ ((u / w) * v5)) = L(x,y,z \ ((w \ u) * v5)). L(x,y,(z * u) \ w) = L(x,y,(u * z) \ w). L(x,y,(z * K(u,w)) \ v5) = L(x,y,z \ v5). L(x,y,z \ ((u * T(w,v5)) * v6)) = L(x,y,z \ ((u * w) * v6)). L(x,y,(z * (u * w)) \ v5) = L(x,y,(z * (w * u)) \ v5). L(x,y,(z \ K(u,w)) \ v5) = L(x,y,(z \ 1) \ v5). L(x,y,(z \ (u / w)) \ v5) = L(x,y,(z \ (w \ u)) \ v5). L(x,y,(z * u) \ ((z * w) * u)) = L(x,y,L(w,z,u)). x / L(y,z,(y * z) \ x) = (x / (z * y)) * z. L(x,y,(z * u) \ (u * (w * z))) = L(x,y,L(T(w,z),z,u)). L(x,y,(z * (T(u,z * w) * w)) \ v5) = L(x,y,(L(u,w,z) * (z * w)) \ v5). L(x,y,(z * (T(u,w) * v5)) \ v6) = L(x,y,(z * (u * v5)) \ v6). L(x,y,(z * u) \ (u * (w * z))) = L(x,y,L(w,z,u)). L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). (x * L(a(y,z,u),w,v5)) \ ((x * v6) * L(a(y,z,u),w,v5)) = L(v6,x,L(a(y,z,u),w,v5)). a(x * (K(y,z) * u),w,v5) = a(x * u,w,v5). a(x * (y * ((z \ u) \ u)),w,v5) = a(x * (y * z),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). a(x \ (y * (z * u)),w,v5) = a(x \ (y * (u * z)),w,v5). a(L(R(x,y,x),z,u),w,v5) = a(L(x,z,u),w,v5). L(R(x,y,z),u,w) * (T(R(x,y,z),v5) \ v5) = K(x,v6) * (R(T(x,v6),y,z) \ (v5 * L(R(x,y,z),u,w))). (x * (L(R(x,y,z),u,w) * (T(R(x,y,z),v5) \ v5))) / x = (v5 * L(R(x,y,z),u,w)) / R(x,y,z). (x * x) \ (((x * x) / y) * L(y,z,u)) = y \ L(y,z,u). (L(x,y,z) * u) / T(x * u,x \ L(x,y,z)) = (x * u) \ (L(x,y,z) * u). (L(x,y,z) * (z * y)) / T(x * (z * y),x \ L(x,y,z)) = ((z * y) * x) \ (z * (y * x)). ((x \ R(x,y,z)) \ u) * L(x \ R(x,y,z),x,z * y) = (x \ R(x,y,z)) \ (a(x,y,z) * u). (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,y,x). (x * (a(y,y,x) \ z)) / (a(y,y,x) \ (L(x,y,y) * z)) = R(a(y,y,x),L(x,y,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)). K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,x). (((x \ y) \ z) \ u) * ((x \ y) \ z) = ((y \ (x * z)) \ u) * (y \ (x * z)). R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). (x * (y * (y \ L(y,z,u)))) / y = L(y \ 1,z,u) * ((y \ 1) \ x). (x \ 1) \ L(x,y,z) = x * L(x,y,z). L(x,y,(L(z,u,w) * (w * u)) \ v5) = L(x,y,(w * (z * u)) \ v5). x * L(L(R(y,x,L(L(y,z,u),w,v5)),z,u),w,v5) = T(L(L(y,z,u),w,v5) * x,L(L(y,z,u),w,v5)). L(L((a(x,x,y) * a(x,x,y)) * y,x,x),a(x,x,y),a(x,x,y)) = a(x,x,y) * y. R(x,y,z * R(u,z,z)) = R(x,y,L(u * z,z,z)). R(x,y,z * ((u * w) * u)) = R(x,y,z * R(w,u,u)). R(x,y,z * ((u * (w * w)) \ v5)) = R(x,y,z * (u \ ((w * w) \ v5))). R(x,y,z \ ((u / (w * w)) \ v5)) = R(x,y,z \ ((u \ v5) * (w * w))). R(x,y,((z * u) \ ((z * w) * u)) * v5) = R(x,y,R(w,z,u) * v5). T((L(x,y,z) * u) \ (x * u),w) = (L(x,y,z) * u) \ (x * u). L(R(x,y,L(L(x,z,u),w,v5)),z,u) = R(L(x,z,u),y,L(x,z,u)). R(L(x,y,z),u,L(x,w,v5)) = L(R(x,u,x),y,z). R(x,y,z \ (z / (x \ 1))) = R(x,y,x). (x * y) / ((x * x) * (x \ y)) = (x \ y) \ L(x \ y,x,x). x * ((y * ((a(z,u,w) \ 1) * x)) / x) = y * ((a(z,u,w) \ 1) * T(x,y)). L(x,y,x \ 1) * ((x \ 1) * y) = x * (y * T(x \ 1,x \ y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),u) = R(x,u \ L(u,z,y),u). ((x \ L(x,y,z)) * (u * x)) / ((x \ L(x,y,z)) * x) = L(u,x,x \ L(x,y,z)). ((x \ L(x,y,z)) * (u * x)) / L(x,y,z) = L(u,x,x \ L(x,y,z)). (x * T(y,y \ L(y,z,u))) / L(y,z,u) = (x * ((y \ w) \ w)) / L((y \ w) \ w,z,u). L(x,y,z) \ ((u * x) / (x * x)) = x \ R(u / L(x,y,z),x,x). a(x,y,L(z,z,u) * u) = a(x,y,(z \ 1) \ u). (L(x,y,z) / u) * L(T(u,w),x,x \ L(x,y,z)) = ((x \ L(x,y,z)) * (x * T(u,w))) / u. (x * (L(x,y,z) \ u)) * L((x * (L(x,y,z) \ u)) \ (x * u),w,v5) = L(L(T(x,u),y,z),w,v5) * (L(T(x,u),y,z) \ (x * u)). a(x,y,K(z,u) * (w * v5)) = a(x,y,v5 * w). a(x,y,z * L(u \ K(w,v5),v6,v7)) = a(x,y,L(u \ 1,v6,v7) * z). a(x,y,(K(z,u) * w) * v5) = a(x,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). a(x,y,(((z / u) \ w) * v5) * v6) = a(x,y,(((u \ z) \ w) * v5) * v6). a(x,y,(T(z,u) * w) * v5) = a(x,y,(z * w) * v5). a(x,y,(T(z,u) \ w) * v5) = a(x,y,(z \ w) * v5). a(x,y,((T(z,u) \ w) * v5) * v6) = a(x,y,((z \ w) * v5) * v6). a(x,y,(L(T(z,u),w,v5) * v6) * v7) = a(x,y,(L(z,w,v5) * v6) * v7). a(x,y,(z * T(u,w)) * v5) = a(x,y,(z * u) * v5). a(x,y,(L(T(z,u),w,v5) \ v6) * v7) = a(x,y,(L(z,w,v5) \ v6) * v7). a(x,y,z \ ((u * u) * w)) = a(x,y,(u * u) * (z \ w)). a(x,y,L(a(z,u,z) \ z,w,v5)) = a(x,y,L(L(z,w,v5),u,z)). a(x,y,L(K(z,u) * L(w,v5,v6),v7,v8)) = a(x,y,L(L(w,v7,v8),v5,v6)). a(x,y,L(L(z * K(u,w),v5,v6),v7,v8)) = a(x,y,L(L(z,v7,v8),v5,v6)). a(x,y,L(L(T(z,u),w,v5),v6,v7)) = a(x,y,L(L(z,v6,v7),w,v5)). a(x,y,(z * K(u,w)) * v5) = a(x,y,z * v5). a(x,y,R(T(z,u),w,v5) * v6) = a(x,y,v6 * R(z,w,v5)). a(x,y,(z * (u * w)) * v5) = a(x,y,v5 * (z * (w * u))). a(x,y,(z \ (u * w)) * v5) = a(x,y,v5 * (z \ (w * u))). a(x,y,z * (u \ T(w,v5))) = a(x,y,(u \ w) * z). a(x,y,z * ((u * w) \ ((w * v5) * u))) = a(x,y,L(v5,w,u) * z). a(x,y,z * (u * (w * (v5 * K(v6,v7))))) = a(x,y,(u * (w * v5)) * z). a(x,y,z * (u * L(T(w,v5),v6,v7))) = a(x,y,(u * L(w,v6,v7)) * z). a(x,y,(z \ ((u \ w) * u)) * v5) = a(x,y,v5 * (z \ w)). a(x,y,z * ((u * w) * v5)) = a(x,y,z * (v5 * (w * u))). a(x,y,z * ((u \ L(u,w,v5)) * (v6 * u))) = a(x,y,z * (u * (v6 * (u \ L(u,w,v5))))). a(x,y,z \ (((u \ w) \ w) * ((u \ w) \ w))) = a(x,y,(z \ 1) * (((u \ w) \ w) * u)). a(x,y,z * (u \ ((w * w) \ (v5 * w)))) = a(x,y,z * (u \ (v5 * (w \ 1)))). a(x,y,z * (u \ (w * (v5 / v6)))) = a(x,y,z * (u \ (w * (v6 \ v5)))). a(x,y,z * (u \ (u \ 1))) = a(x,y,z). a(x,y,(z * u) \ ((z * w) * u)) = a(x,y,R(w,z,u)). a(x,y,z \ (u * (z * z))) = a(x,y,(z \ 1) \ u). a(x,y,(z / (u * u)) \ w) = a(x,y,z \ (w * (u * u))). a(x,y,(z * z) \ (u * w)) = a(x,y,u * ((z * z) \ w)). a(x,y,z \ (L(u \ (1 / u),w * v5,v6) * (v6 * (w * v5)))) = a(x,y,z \ (v6 * (w * (v5 * (u \ (1 / u)))))). a(x,y,z \ (u \ (K(w,v5) * v6))) = a(x,y,z \ (u \ v6)). a(x,y,z \ (u \ (((w \ v5) * w) * v6))) = a(x,y,z \ (u \ (v5 * v6))). a(x,y,z \ (u \ (w * (v5 * v6)))) = a(x,y,z \ (u \ (w * (v6 * v5)))). a(x,y,z \ (u \ (w \ (v5 / v6)))) = a(x,y,z \ (u \ (w \ (v6 \ v5)))). a(x,y,z \ (((u \ w) * u) * v5)) = a(x,y,z \ (v5 * w)). a(x,y,z \ (u * T(w / v5,v6))) = a(x,y,z \ (u * (v5 \ w))). a(x,y,z \ (u * (R(w,v5,v5) \ (v5 \ 1)))) = a(x,y,z \ (u * (v5 / ((w * v5) * v5)))). a(x,y,z \ (u \ ((w * (v5 * v5)) * v6))) = a(x,y,z \ (u \ ((v6 * w) * (v5 * v5)))). a(x,y,z \ (u \ ((w * w) * v5))) = a(x,y,(z \ (u \ v5)) * (w * w)). a(x,y,z \ (L(T(u,w),v5,v6) * v7)) = a(x,y,z \ (L(u,v5,v6) * v7)). a(x,y,z \ ((u / w) * v5)) = a(x,y,z \ ((w \ u) * v5)). a(x,y,z \ (L(u / w,v5,v6) * v7)) = a(x,y,z \ (L(w \ u,v5,v6) * v7)). a(x,y,z \ ((u / w) \ v5)) = a(x,y,z \ ((w \ u) \ v5)). a(x,y,z \ (L(u / w,v5,v6) \ v7)) = a(x,y,z \ (L(w \ u,v5,v6) \ v7)). a(x,y,z * (u * (w * T(v5,v6)))) = a(x,y,((w * v5) * u) * z). a(x,y,((z * u) * w) * v5) = a(x,y,v5 * (w * (u * z))). a(x,y,(z * u) * T(w,v5)) = a(x,y,w * (u * z)). a(x,y,(z * z) * (u * w)) = a(x,y,w * (u * (z * z))). a(x,y,((z * z) * ((z * u) \ u)) * w) = a(x,y,w * ((u / (z \ 1)) / u)). a(x,y,(z * u) * L(z,w,v5)) = a(x,y,z * (u * L(z,w,v5))). a(x,y,z * ((u / w) * v5)) = a(x,y,z * ((w \ u) * v5)). a(x,y,z * ((u / w) \ v5)) = a(x,y,z * ((w \ u) \ v5)). a(x,y,z * ((u * T(w,v5)) * v6)) = a(x,y,z * ((u * w) * v6)). a(x,y,z * ((u * (w * w)) \ v5)) = a(x,y,z * (u \ (v5 / (w * w)))). a(x,y,z * ((u * u) \ (w * v5))) = a(x,y,z * (w * ((u * u) \ v5))). a(x,y,z * ((u * u) \ (w \ v5))) = a(x,y,z * (w \ ((u * u) \ v5))). a(x,y,z \ ((u \ T(w,v5)) * v6)) = a(x,y,z \ (v6 * (u \ w))). a(x,y,z \ ((T(u,w) * v5) * v6)) = a(x,y,z \ (v6 * (u * v5))). a(x,y,z \ (u * ((w / v5) * v6))) = a(x,y,z \ (u * ((v5 \ w) * v6))). a(x,y,L(z \ u,z,w) \ (u * w)) = a(x,y,w * z). a(x,y,(K(z,u) * w) \ v5) = a(x,y,w \ v5). a(x,y,z \ ((K(u,w) / v5) * v6)) = a(x,y,z \ ((1 / v5) * v6)). a(x,y,z \ (((u / w) \ v5) * v6)) = a(x,y,z \ (((w \ u) \ v5) * v6)). a(x,y,((z / u) \ w) \ v5) = a(x,y,((u \ z) \ w) \ v5). a(x,y,z \ (((u / w) * v5) * v6)) = a(x,y,z \ (((w \ u) * v5) * v6)). a(x,y,((z \ u) * z) \ w) = a(x,y,u \ w). a(x,y,((z / u) * w) \ v5) = a(x,y,((u \ z) * w) \ v5). a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w). a(x,y,((T(z,u) * w) * v5) \ v6) = a(x,y,((z * w) * v5) \ v6). a(x,y,(z * K(u,w)) \ v5) = a(x,y,z \ v5). a(x,y,z \ ((u * (w * w)) * v5)) = a(x,y,z \ ((w * w) * (v5 * u))). a(x,y,z \ ((u * u) * (w * (u \ v5)))) = a(x,y,z \ (w * T(v5 / (u \ 1),u))). a(x,y,(z * u) \ ((w * u) * z)) = a(x,y,L(w,u,z)). a(x,y,(z * z) \ ((u \ (z * z)) * w)) = a(x,y,w * (u \ 1)). a(x,y,z \ ((u * w) * (u \ 1))) = a(x,y,z \ L(w,u,u \ 1)). a(x,y,z \ (u * R(K(w,v5) * v6,v7,v8))) = a(x,y,z \ (R(v6,v7,v8) * u)). a(x,y,((z * u) * w) \ ((w * u) * T(z,u))) = a(x,y,a(w,u,z)). a(x,y,z * (u * R(T(w,v5),v6,v7))) = a(x,y,(u * R(w,v6,v7)) * z). a(x,y,((z \ u) * (w * w)) * v5) = a(x,y,v5 * (z \ ((w * w) * u))). a(x,y,z \ ((u / (w * w)) \ v5)) = a(x,y,z \ (u \ (v5 * (w * w)))). a(x,y,z \ ((u \ 1) \ (w * (v5 * (u \ 1))))) = a(x,y,z \ (u \ (w * (v5 * u)))). a(x,y,(z \ (u \ (w \ v5))) * (w * w)) = a(x,y,z \ (u \ (v5 / (w \ 1)))). a(x,y,z \ ((u * w) * v5)) = a(x,y,z \ (v5 * (w * u))). a(x,y,z \ ((u \ (w * (v5 \ v6))) * (v5 * v5))) = a(x,y,z \ (u \ (w * (v6 / (v5 \ 1))))). a(x,y,(z / u) * L(u \ z,w \ 1,w)) = a(x,y,a(w,w \ 1,u \ z)). a(x,y,(z / (u * (w * w))) * v5) = a(x,y,(u \ (z / (w * w))) * v5). a(x,y,(z / (u / (w * w))) * v5) = a(x,y,(u \ (z * (w * w))) * v5). a(x,y,((z * z) \ (u * w)) * v5) = a(x,y,(u * (w / (z * z))) * v5). a(x,y,((z * z) \ (u \ w)) * v5) = a(x,y,(u \ (w / (z * z))) * v5). a(x,y,L((z * u) * (w * w),v5,v6)) = a(x,y,L(z * ((w * w) * u),v5,v6)). a(x,y,L(z \ ((u \ w) * (u * u)),v5,v6)) = a(x,y,L(z \ (w / (u \ 1)),v5,v6)). a(x,y,L(z * ((u / w) * v5),v6,v7)) = a(x,y,L(z * (v5 * (w \ u)),v6,v7)). a(x,y,L((z / u) / w,v5,v6)) = a(x,y,L(w \ (u \ z),v5,v6)). a(x,y,L(z * (u * (K(w,v5) / w)),v6,v7)) = a(x,y,L(z * (u * (1 / w)),v6,v7)). a(x,y,L(L(z \ u,w,v5),z,z)) = a(x,y,L(u * (z \ 1),w,v5)). a(x,y,T(z,u) * L(T(z,w),v5,v6)) = a(x,y,L(z,v5,v6) \ z). a(x,y,(z * (u * w)) \ v5) = a(x,y,(z * (w * u)) \ v5). a(x,y,((z * (u * u)) * w) * v5) = a(x,y,((u * u) * (w * z)) * v5). a(x,y,(L(z,z,u) * u) * w) = a(x,y,((z \ 1) \ u) * w). L(x \ 1,y,z) * x = (x \ 1) * L(x,y,z). (x \ 1) * (L(x \ 1,y,z) \ u) = (u * x) / L(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 * a(y,y,x)) \ 1 = L(x \ 1,y,y). a(x \ (y * (L(z \ 1,u,w) \ 1)),v5,v6) = a(x \ (y * (z * (L(z,u,w) \ z))),v5,v6). L(x,y,z) * (x \ (u / L(x \ 1,y,z))) = u / (x \ 1). R(x,a(y,z,u) * a(y,z,u),w) = (a(y,z,u) * a(y,z,u)) \ (x * (a(y,z,u) * a(y,z,u))). x \ (R(x,x,y) \ y) = (x * x) \ y. R(x,x,y) \ y = x \ L(y,x,x). L(x,y,R(z,z,u) \ u) = L(x,y,u * (z \ 1)). R(x,y,z * ((u * z) * u)) = R(x,y,a(u * z,u,z)). R(x,x,y) * L(y,x,x) = x * y. x * (L(x,y,z) \ (R(x,x,u) \ u)) = L(x,y,z) \ L(u,x,x). x * ((R(x,x,y) \ y) * a(z,u,x)) = L(y,x,x) * a(z,u,x). R(x,y,z * (u * (u * w))) = R(x,y,z * L(w,u,u)). R(x,y,z * (u \ ((w * w) \ v5))) = R(x,y,z * (u \ v5)). R(x,y,z \ (u * (u * w))) = R(x,y,z \ L(w,u,u)). K(T(x,y) \ z,T(x,y)) = K(x \ z,T(x,y)). R(x * K(y \ x,T(y,z)),u,w) = (T(y,z) \ R(x,u,w)) * T(y,z). K(x,y) * (z * L(z \ K(y,x),u,w)) = z * L(z \ 1,u,w). T(x,y) \ (z * L(z \ T(x,y),u,w)) = x \ (z * L(z \ x,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 = K(x,y) * (L(z,u,w) / v5). (x \ y) * L(K(x,x \ y) * z,u,w) = (y / x) * L(z,u,w). L(K(x,y) * z,u,w) \ v5 = L(z,u,w) \ (K(y,x) * v5). T(x,y) * L(T(x,y) \ z,u,w) = x * L(x \ z,u,w). (x \ y) * L(T(x \ y,x) \ z,u,w) = (y / x) * L((x \ y) \ z,u,w). (T(x,y) \ z) \ L(T(x,y) \ u,w,v5) = (x \ z) \ L(x \ u,w,v5). T((((x \ 1) \ y) * z) * (((x \ 1) \ y) \ 1),x * y) = R(z,(x \ 1) \ y,x \ y). R(x * K(y * z,x),(y \ 1) \ z,y \ z) = (((y \ 1) \ z) * x) * (((y \ 1) \ z) \ 1). R(x,y,((z * z) / u) \ w) = R(x,y,((z * z) \ u) \ w). R(x,y,((z * z) \ u) \ w) = R(x,y,u \ w). R(x,y,(z * (u / (w * w))) \ v5) = R(x,y,(z * u) \ v5). R(x,y,(z \ (u \ 1)) \ w) = R(x,y,(z \ u) \ w). R(x,y,(z * (u * (w * w))) \ v5) = R(x,y,(z * u) \ v5). a(x,y,z) != u | a(T(x,w),y,z) = u. T(x,y \ 1) / (L(y,z,u) * (x * (L(y,z,u) \ 1))) = a(L(y,z,u),L(y,z,u) \ 1,x). (x / (L(y,z,u) \ w)) * K(y \ w,y) = x / (w / L(y,z,u)). (x / (y / L(z,u,w))) * (y / z) = (x / (L(z,u,w) \ y)) * (z \ y). ((x / y) * (y * (x \ 1))) / (x \ 1) = x * ((x / y) * (y * (x \ 1))). K(x,y) * ((L(y,z,z \ 1) \ y) * (L(y,z,z \ 1) * x)) = L(x,L(y,z,z \ 1),a(z \ 1,z,y)) * y. L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ L(T(v5,w),w,u)). L(x,y,z \ ((u * (w * w)) \ v5)) = L(x,y,z \ (u \ ((w * w) \ v5))). (R(x * K(y,x),y,z) * y) \ ((y * x) * z) = L(z,y,L(x,y,z)). L(x,y,L((z * z) \ (u * z),w,v5)) = L(x,y,L(z \ R(u,z,z),w,v5)). L(x,y,L(x,z,u)) = L(x,y,x). L(x,x,L(y,x,x)) = R(y,x,x) \ (y * x). x * L(y,R(z,u,w) \ x,L(z,u,w)) = R(z,u,w) * ((R(z,u,w) \ x) * y). R(x,y,y) * L(y,y,L(x,y,y)) = x * y. R(x,y,z) \ L(u,R(x,y,z) \ 1,L(x,y,z)) = (R(x,y,z) \ 1) * u. L(x,y,L(z,u,w \ 1)) = L(x,y,R(z,u,w)). x * (L(x,y,L(z,y,x)) \ (z * y)) = R(z,y,x) * y. a(x * (y * (L(z \ 1,u,w) \ 1)),v5,v6) = a(x * (y * (z * (L(z,u,w) \ z))),v5,v6). a(x \ ((y * y) \ (z * u)),w,v5) = a(x \ (z * ((y * y) \ u)),w,v5). a(x \ (L(y,z \ (u * w),z) * (w * u)),v5,v6) = a(x \ (z * ((z \ (u * w)) * y)),v5,v6). a(L(L(x,y,x),z,u),w,v5) = a(L(x,z,u),w,v5). L(R(x,y,z),u,w) * (R(T(x,v5),y,z) \ v5) = K(x,v6) * (R(T(x,v6),y,z) \ (v5 * L(R(x,y,z),u,w))). (x * (L(R(x,y,z),u,w) * (R(T(x,v5),y,z) \ v5))) / x = (v5 * L(R(x,y,z),u,w)) / R(x,y,z). (L(x,y,z) * u) / (x * u) = (x * u) \ (L(x,y,z) * u). (L(x,y,z) * (z * y)) / (x * (z * y)) = ((z * y) * x) \ (z * (y * x)). (x \ R(x,y,z)) \ (a(x,y,z) * u) = a(x,y,z) * ((x \ R(x,y,z)) \ u). (x \ R(x,y,z)) \ (a(x,y,z) * u) = ((x \ R(x,y,z)) \ u) * a(x,y,z). (L(x \ 1,x,(y * x) \ y) * (x * ((y * x) \ y))) \ ((y * x) \ y) = a((y * x) \ y,x,x \ 1). (L(L(x,y,z),u,x) * (u * x)) \ (x * (u * L(x,y,z))) = a(x,u,L(x,y,z)). L(x,y,(L(z,u,w) * (w * u)) \ (z * (u * w))) = L(x,y,a(w,u,z)). R(x,y,z \ a(z,u,w)) = R(x,y,z * a(z,u,w)). L(x \ 1,y,z) * ((x \ 1) \ u) = (u * L(x,y,z)) / x. L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ L(v5,w,u)). (x * R(y,x,z)) \ ((x * y) * z) = L(z,x,L(y,x,z)). L(x,y,L(z * (u / (u * u)),w,v5)) = L(x,y,L(u \ R(z,u,u),w,v5)). a(x \ (x * ((y * y) \ ((y * y) * z))),u,w) = a(L(z,y * y,x),u,w). L(R(x,y,z),u,L(x,w,v5)) = R(L(x,u,x),y,z). L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). L((x \ y) \ z,u,(x \ y) \ z) = L((x \ y) \ z,u,y \ (x * z)). 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)). R(1 / x,x,L(x,y,z)) = x \ 1. (x \ 1) * L(x * L(x,y,z),u,w) = x * L(x \ L(x,y,z),u,w). (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. x * L(L(R(y,x,L(L(y,z,u),w,v5)),z,u),w,v5) = T(L(L(y,z,u),w,v5) * x,y). ((x \ L(x,y,z)) * (x * T(u,x))) \ (u * L(x,y,z)) = a(x \ L(x,y,z),x,u). (L(a(x,x,y),L(y,x,x),L(y,x,x) \ z) * z) \ (a(x,x,y) * z) = ((L(y,x,x) \ z) * y) \ (a(x,x,y) * ((y \ z) * y)). R(x,y \ L(y,z,u),y) = L(x,y \ L(y,z,u),y). L(L(x,y,y),a(y,y,x),x \ z) \ z = (x \ z) * a(y,y,x). a(x / (L(y,z,z) * K(u,w)),L(y,z,z),a(z,z,y)) = (y * ((L(y,z,z) \ x) * K(w,u))) \ (a(z,z,y) * (x * K(w,u))). (a(x,x,y) * (z * L(y,x,x))) \ (z * y) = a(L(y,x,x) \ y,L(y,x,x),z). R(x,y,z \ ((u / (w * w)) \ v5)) = R(x,y,z \ (u \ v5)). ((L(x,y,z) * u) \ (x * u)) * w = w * ((L(x,y,z) * u) \ (x * u)). (R(x,y,x) \ z) * a(x,y,x) = x \ z. a(x,y,x) \ (z \ (x \ u)) = z \ (R(x,y,x) \ u). L(R(x,y,L(L(x,z,u),w,v5)),z,u) = L(R(x,y,x),z,u). x \ R(y / L(x,z,u),x,x) = L(x,z,u) \ (y * (x \ 1)). a(x,y,z \ ((u * u) * ((u * w) \ w))) = a(x,y,z \ (w \ (w / (u \ 1)))). (x * (L(x,y,z) \ u)) * L((x * (L(x,y,z) \ u)) \ (x * u),w,v5) = L(L(T(x,u),y,z),w,v5) * (L(x,y,z) \ (u * x)). a(x,y,(((z / u) * w) * v5) * v6) = a(x,y,(((u \ z) * w) * v5) * v6). a(x,y,(z * (u / w)) \ v5) = a(x,y,(z * (w \ u)) \ v5). a(x,y,(z * T(u,w)) \ v5) = a(x,y,(z * u) \ v5). a(x,y,(z * (u \ K(w,v5))) \ v6) = a(x,y,(z * (u \ 1)) \ v6). a(x,y,(z * L(T(u,w),v5,v6)) \ v7) = a(x,y,(z * L(u,v5,v6)) \ v7). a(x,y,L(z \ u,z,w)) = a(x,y,(z * w) \ (u * w)). a(x,y,z / (u * w)) = a(x,y,(w * u) \ z). a(x,y,(z * u) \ ((z * w) * u)) = a(x,y,L(w,z,u)). a(x,y,((z * z) * (u * w)) \ v5) = a(x,y,(u * (w * (z * z))) \ v5). a(x,y,((z * (u * u)) * w) \ v5) = a(x,y,((w * z) * (u * u)) \ v5). a(x,y,((z \ 1) * (u / z)) \ w) = a(x,y,(u / (z * z)) \ w). a(x,y,((z \ 1) * (u * z)) \ w) = a(x,y,R(u,z,z) \ w). a(x,y,(L(z,u,u \ w) * w) \ v5) = a(x,y,((w / u) * (u * z)) \ v5). a(x,y,(z * u) \ ((w * u) * z)) = a(x,y,R(w,u,z)). a(x,y,(z * L(u / w,v5,v6)) \ v7) = a(x,y,(z * L(w \ u,v5,v6)) \ v7). a(x,y,(((z * z) \ z) * u) * w) = a(x,y,((z \ 1) * u) * w). a(x,y,(((z * z) \ (u * z)) \ w) * v5) = a(x,y,((u * (z \ 1)) \ w) * v5). a(x,y,((z / (u * (w * w))) * v5) * v6) = a(x,y,((u \ (z / (w * w))) * v5) * v6). a(x,y,(((z * z) \ (u \ w)) * v5) * v6) = a(x,y,((u \ (w / (z * z))) * v5) * v6). a(x,y,((z \ u) * w) \ v5) = a(x,y,(w * (u / z)) \ v5). a(x,y,((z / u) * w) \ v5) = a(x,y,(w * (u \ z)) \ v5). a(x,y,((z / u) * (u \ z)) \ (w \ ((z / u) * (z / u)))) = a(x,y,T(w \ 1,(z / u) * (z / u))). a(x,y,(((z \ 1) / (u \ K(w,v5))) \ v6) * v7) = a(x,y,(((u \ 1) \ (z \ K(v5,w))) \ v6) * v7). a(x,y,(L((z \ (z \ 1)) \ u,w,v5) \ v6) * v7) = a(x,y,(L(u * (z * z),w,v5) \ v6) * v7). a(x,y,L(L(T(z,u) \ w,v5,v6),v7,v8)) = a(x,y,L(L(z \ w,v7,v8),v5,v6)). a(x,y,L(L(z * K(u,w),v5,v6),v7,(v8 \ 1) \ v9)) = a(x,y,L(L(z,v7,(v8 \ K(v10,v11)) \ v9),v5,v6)). a(x,y,((z * z) \ u) \ w) = a(x,y,u \ (w * (z * z))). a(x,y,(z \ u) \ (w * (u * u))) = a(x,y,(z \ (u \ 1)) \ w). a(x,y,(z * (u / w)) * v5) = a(x,y,(z * (w \ u)) * v5). a(x,y,(z * (u * w)) * v5) = a(x,y,(z * (w * u)) * v5). a(x,y,(z \ (u * w)) * v5) = a(x,y,(z \ (w * u)) * v5). a(x,y,(z \ (u * T(w,v5))) * v6) = a(x,y,(z \ (u * w)) * v6). a(x,y,(z * (u * T(w,v5))) * v6) = a(x,y,(z * (u * w)) * v6). a(x,y,(z \ (u / w)) * v5) = a(x,y,(z \ (w \ u)) * v5). a(x,y,(z * (u * w)) * v5) = a(x,y,v5 * ((w * u) * z)). a(x,y,(z \ R(K(u,w) * v5,v6,v7)) * v8) = a(x,y,v8 * (z \ (R(v5,v6,v7) * K(u,w)))). a(x,y,(z \ ((u * u) * w)) * v5) = a(x,y,v5 * ((z \ w) * (u * u))). a(x,y,z * ((u * w) \ (w * (v5 * u)))) = a(x,y,R(T(v5,u * w),u,w) * z). a(x,y,(z \ L(K(u,w) * v5,v6,v7)) * v8) = a(x,y,v8 * (z \ (L(v5,v6,v7) * K(u,w)))). a(x,y,z * (u * (w * (v5 * (v6 * T(v7,v8)))))) = a(x,y,(u * (w * (v5 * (v6 * v7)))) * z). a(x,y,z * ((K(u,w) * v5) * v6)) = a(x,y,z * (v6 * v5)). a(x,y,z * (((u * w) / (v5 * v5)) * v6)) = a(x,y,z * (v6 * ((w / (v5 * v5)) * u))). a(x,y,z * (u * ((w \ 1) * R(v5,w \ 1,w)))) = a(x,y,z * (R(v5 * (1 / w),w,w) * u)). a(x,y,z * (u * L(K(w,v5) * v6,v7,v8))) = a(x,y,z * (u * L(v6,v7,v8))). a(x,y,z \ (((u \ w) \ w) * ((u \ w) \ w))) = a(x,y,(z \ 1) * (u * ((u \ w) \ w))). a(x,y,(z * (u * u)) \ ((z * w) * (u * u))) = a(x,y,w). a(x,y,(z * z) * (z \ u)) = a(x,y,(z \ 1) \ u). a(x,y,z * ((u * u) \ u)) = a(x,y,L(u \ z,u,u)). a(x,y,(z * u) / (w * w)) = a(x,y,u * ((w * w) \ z)). a(x,y,(z * z) \ (u * w)) = a(x,y,w * ((z * z) \ u)). a(x,y,(z * u) * ((z * z) \ z)) = a(x,y,L(u,z,z)). a(x,y,(z * u) * (w * v5)) = a(x,y,(v5 * w) * (z * u)). a(x,y,((z * z) * u) * w) = a(x,y,(z * z) * (u * w)). a(x,y,(z * z) * (u * w)) = a(x,y,w * ((z * z) * u)). a(x,y,(z * (u * u)) * w) = a(x,y,(u * u) * (z * w)). a(x,y,(z \ (1 / u)) * (w * ((u * z) \ K(u,u \ 1)))) = a(x,y,((z \ (1 / u)) * w) * L(z \ (1 / u),z,u)). a(x,y,z * ((u * T(w,v5)) * v6)) = a(x,y,(v6 * (u * w)) * z). a(x,y,(z * ((u * (w \ 1)) * w)) * v5) = a(x,y,(z * R(u,w \ 1,w)) * v5). a(x,y,(z \ (u * (w / v5))) * v6) = a(x,y,(z \ (u * (v5 \ w))) * v6). a(x,y,z * (((u / (w * w)) \ 1) \ v5)) = a(x,y,z * (((w * w) / u) \ v5)). a(x,y,((1 / z) * u) \ (z \ u)) = a(x,y,(z \ u) * ((z \ 1) * u)). a(x,y,(z \ (u / (w / (v5 * v5)))) * v6) = a(x,y,(z \ (w \ (u * (v5 * v5)))) * v6). a(x,y,L(z,z,u) * w) = a(x,y,(u \ ((z \ 1) \ u)) * w). a(x,y,z \ ((u \ (1 / u)) * (w * (v5 * v6)))) = a(x,y,z \ (w * (v5 * (v6 * (u \ (1 / u)))))). a(x,y,z \ (u \ ((w * v5) * v6))) = a(x,y,z \ (u \ (v6 * (v5 * w)))). a(x,y,z \ (u * (R(w,v5,v5) \ (v5 \ 1)))) = a(x,y,z \ (u * (((w * v5) * v5) \ v5))). a(x,y,z \ (u \ ((w / v5) * v6))) = a(x,y,z \ (u \ ((v5 \ w) * v6))). a(x,y,z \ (((u / w) \ v5) \ v6)) = a(x,y,z \ (((w \ u) \ v5) \ v6)). a(x,y,z \ ((T(u,w) \ v5) \ v6)) = a(x,y,z \ ((u \ v5) \ v6)). a(x,y,z \ (u \ ((w * (v5 * v5)) * v6))) = a(x,y,(z \ (u \ (v6 * w))) * (v5 * v5)). a(x,y,z \ (u \ L((w * w) * v5,v6,v7))) = a(x,y,(z \ (u \ L(v5,v6,v7))) * (w * w)). a(x,y,z \ (u * L(T(w,v5),v6,v7))) = a(x,y,z \ (L(w,v6,v7) * u)). a(x,y,z \ ((u / w) * (v5 / v6))) = a(x,y,z \ ((w \ u) * (v6 \ v5))). a(x,y,z \ ((u / (w * (v5 * v5))) \ v6)) = a(x,y,z \ ((w \ (u / (v5 * v5))) \ v6)). a(x,y,z \ ((u / (w / (v5 * v5))) \ v6)) = a(x,y,z \ ((w \ (u * (v5 * v5))) \ v6)). a(x,y,z * ((u * (w * w)) \ v5)) = a(x,y,z * (u \ ((w * w) \ v5))). a(x,y,L(L(z,u,u \ 1),a(u \ 1,u,z),w) \ (z * w)) = a(x,y,w * a(u \ 1,u,z)). a(x,y,L(L(z,u,w) \ v5,L(z,u,w),1 / L(z,v6,v7)) \ (v5 * (1 / L(z,v6,v7)))) = a(x,y,L(z,v6,v7) \ L(z,u,w)). a(x,y,(z * (T(u,w) * v5)) \ v6) = a(x,y,(z * (u * v5)) \ v6). a(x,y,z \ ((u \ K(w,v5)) * v6)) = a(x,y,z \ ((1 / u) * v6)). a(x,y,((T(z,u) * w) * v5) \ ((z * w) * R(v5,z,w))) = a(x,y,a(v5,z,w)). a(x,y,(((z / (u * u)) / w) * (u * u)) \ v5) = a(x,y,(w \ z) \ v5). a(x,y,(((z * z) \ (u * w)) * v5) \ v6) = a(x,y,((u * (w / (z * z))) * v5) \ v6). a(x,y,(z \ (u * u)) * ((u * u) \ w)) = a(x,y,w * (z \ 1)). a(x,y,((z * u) * w) \ ((w * u) * z)) = a(x,y,a(w,u,z)). a(x,y,z \ ((u \ ((w \ v5) * (w * w))) * v6)) = a(x,y,z \ (v6 * (u \ (v5 / (w \ 1))))). a(x,y,z \ ((u / (w * w)) \ v5)) = a(x,y,(z \ (u \ v5)) * (w * w)). a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)). a(x,y,z \ (u * (R(w,v5,v5) * T(v5,v5 \ 1)))) = a(x,y,z \ (R(v5 * w,v5 \ 1,v5) * u)). a(x,y,(z \ (u \ (w * (v5 \ v6)))) * (v5 * v5)) = a(x,y,z \ (u \ (w * (v6 / (v5 \ 1))))). a(x,y,((z * (u * u)) \ w) * v5) = a(x,y,(z \ (w / (u * u))) * v5). a(x,y,((z / (u * u)) \ w) * v5) = a(x,y,(z \ (w * (u * u))) * v5). a(x,y,((z * z) \ (u \ w)) * v5) = a(x,y,(u \ ((z * z) \ w)) * v5). a(x,y,(z * u) \ ((z * L(w,v5,v6)) * u)) = a(x,y,L(L(w,z,u),v5,v6)). a(x,y,L((z / u) * w,v5,v6)) = a(x,y,L((u \ z) * w,v5,v6)). a(x,y,L((z / u) \ w,v5,v6)) = a(x,y,L((u \ z) \ w,v5,v6)). a(x,y,L(z * (T(u,w) * v5),v6,v7)) = a(x,y,L(z * (u * v5),v6,v7)). a(x,y,L((z * T(u,w)) * v5,v6,v7)) = a(x,y,L((z * u) * v5,v6,v7)). a(x,y,L((z \ (u \ w)) * (u * u),v5,v6)) = a(x,y,L(z \ (w / (u \ 1)),v5,v6)). a(x,y,L((z * u) \ w,z * u,v5 \ (1 / v5))) = a(x,y,(z * (u * (v5 \ (1 / v5)))) \ (w * (v5 \ (1 / v5)))). a(x,y,(z * u) \ (u * (w * z))) = a(x,y,L(w,z,u)). a(x,y,(z * (u * u)) \ (z * (w * (u * u)))) = a(x,y,L(w,z,u * u)). a(x,y,(z * (u * (((z * w) \ 1) / u))) \ K(u,u \ ((z * w) \ 1))) = a(x,y,L(w,z,u * (((z * w) \ 1) / u))). a(x,y,((z \ 1) * (u / z)) \ w) = a(x,y,((z * z) \ u) \ w). a(x,y,(L(z,u,u \ w) * w) \ v5) = a(x,y,((u \ w) * (u * z)) \ v5). a(x,y,(((z * (u * u)) \ w) * v5) * v6) = a(x,y,((z \ (w / (u * u))) * v5) * v6). a(x,y,((z / u) * (u \ z)) \ (w \ ((z / u) * (z / u)))) = a(x,y,w \ 1). a(x,y,(((z \ K(u,w)) \ (v5 \ 1)) \ v6) * v7) = a(x,y,(((z \ 1) \ (v5 \ K(w,u))) \ v6) * v7). a(x,y,((z * z) \ (u * w)) * v5) = a(x,y,(u * ((z * z) \ w)) * v5). a(x,y,z * (((u / (w * w)) \ 1) \ v5)) = a(x,y,z * ((u \ (w * w)) \ v5)). a(x,y,(z \ ((u / (w * w)) \ v5)) * v6) = a(x,y,(z \ (u \ (v5 * (w * w)))) * v6). a(x,y,z \ (((u * (w * w)) \ v5) \ v6)) = a(x,y,z \ ((u \ (v5 / (w * w))) \ v6)). a(x,y,z \ (((u / (w * w)) \ v5) \ v6)) = a(x,y,z \ ((u \ (v5 * (w * w))) \ v6)). a(x,y,((z / (u * (w * w))) * (w * w)) \ v5) = a(x,y,(u \ z) \ v5). a(x,y,(z * ((u / (w * w)) * v5)) * v6) = a(x,y,v6 * (((v5 * u) / (w * w)) * z)). a(x,y,((z * (u * u)) \ w) * v5) = a(x,y,(z \ ((u * u) \ w)) * v5). a(x,y,(((z * z) \ u) \ w) * v5) = a(x,y,(u \ (w * (z * z))) * v5). a(x,y,(z \ (u * (z * z))) * w) = a(x,y,((z \ 1) \ u) * w). a(x,y,((z \ u) \ (w * (u * u))) * v5) = a(x,y,((z \ (u \ 1)) \ w) * v5). (x * y) \ x = (1 / y) * ((y \ 1) * L(y,y,x)). L(L(x * (a(y,y,x) * a(y,y,x)),y,y),a(y,y,x),a(y,y,x)) = a(y,y,x) * x. K(x,y) * (z * L(z \ K(y,x),u,w)) = z \ L(z,u,w). (x \ 1) * (L(x \ 1,y,z) \ (x \ u)) = L(x,y,z) \ u. (x \ 1) * (L(x \ 1,y,z) \ u) = x * (L(x,y,z) \ u). R(x,y,y) * L(y,y,x) = x * y. (L(x,y,z) \ u) / (x \ 1) = (x \ u) / L(x \ 1,y,z). ((x \ 1) \ 1) * (L(x,y,z) \ x) = L(x \ 1,y,z) \ 1. (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). (((x * y) * z) / (y * z)) * a(u,w,u) = R(a(u,w,u) * x,y,z). (x \ 1) * (y * a(z,u,z)) = (x \ a(z,u,z)) * y. x \ (y * (a(z,u,z) * w)) = (x \ (y * w)) * a(z,u,z). ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). (a(x,y,x) \ z) \ u = (z \ u) * a(x,y,x). (x \ 1) * (a(y,z,y) * u) = (x \ a(y,z,y)) * u. (x * y) \ (a(z,u,z) \ (x * (a(z,u,z) * (y * w)))) = L(w,a(z,u,z) * y,x). L(x,y,x) * (z / x) = x * (z / R(x,y,x)). (a(x,y,x) * ((z * u) * w)) / (a(x,y,x) * (u * w)) = R(z,a(x,y,x) * u,w). (x * (a(y,z,y) * (u * w))) \ (a(y,z,y) * ((x * u) * w)) = a(x,a(y,z,y) * u,w). a(x,y,a(z,u,z) * ((w * v5) * v6)) = a(x,y,v6 * (w * (a(z,u,z) * v5))). a(x,y,x) * ((z * u) \ (z * (u * w))) = L(w * a(x,y,x),u,z). a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(x,y,z). a(a(x,y,x) \ z,a(x,y,x) * u,w) = a(z,u,w). (x / y) \ (a(y,z,y) \ x) = L(y,z,y). L(x \ (y \ z),x,y) = a(y,u,y) \ ((L(y,u,y) * x) \ z). K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). L(x,y,a(z,u,z) * w) = L(x,y,w). R(x,y,z) * a(u,w,u) = R(a(u,w,u) * x,y,z). (x \ L(x,y,x)) * z = a(x,y,x) \ z. a(a(x,y,x) \ z,u \ a(x,y,x),w) = a(z,u \ 1,w). a(a(x,y,x) * z,u,w) = a(z,u,w). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,z \ a(u,w,u)) = L(x,y,z \ 1). a(x,y,x) \ R(a(x,y,x) * z,u,w) = R(z,u,w). R(x,y,z) * a(u,w,u) = R(x * a(u,w,u),y,z). ((x * (a(y,z,y) * (u * w))) \ ((x * u) * w)) * a(y,z,y) = a(x,u,a(y,z,y) * w). (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). ((x \ y) \ z) * a(x,u,x) = (R(x,u,x) \ y) \ z. (1 / x) \ (((a(y,z,y) / x) * u) * w) = (x \ 1) \ (((x \ a(y,z,y)) * u) * w). L(x,a(y,z,y) * u,w) = (w * u) \ (w * (u * x)). R(R(x,y,z),y * z,a(u,w,u)) = R(x,a(u,w,u) * y,z). a(x,y,x) \ ((z * (u * w)) \ (a(x,y,x) * ((z * u) * w))) = a(z,a(x,y,x) * u,w). ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(x,y,z). (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). (a(x,y,x) \ ((z * (u * w)) \ ((z * u) * w))) * a(x,y,x) = a(z,u,a(x,y,x) * w). L(x,a(y,z,y) * u,w) = L(x,u,w). R(x,y,z * a(u,w,u)) = R(x,y,z). a(x,y,x) * L(z,u,w) = L(z * a(x,y,x),u,w). L(x,y,z) * a(u,w,u) = L(x * a(u,w,u),y,z). R(x,a(y,z,y) * u,w) = R(x,u,w). a(x,a(y,z,y) * u,w) = (x * (u * w)) \ ((x * u) * w). R(x,y,R(z,u,z) \ w) = R(x,y,z \ w). 1 / R(x,y,x) = L(1 / x,y,x). a(x,y,x) \ (x \ y) = y * ((x * y) \ y). a(x,y,x) \ L(a(x,y,x) * z,u,w) = L(z,u,w). a(x,y,x) \ L(z,u,w) = L(a(x,y,x) \ z,u,w). a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). a(x,y,x) * L(z,u,w) = L(a(x,y,x) * z,u,w). (a(x,y,x) \ a(z,u,w)) * a(x,y,x) = a(z,u,a(x,y,x) * w). L(x,R(y,z,y),u) = L(x,y,u). L(x,L(y,z,y),u) = L(x,y,u). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(x \ (a(y,z,y) \ u),w,v5) = a(x \ u,w,v5). a(x \ a(y,z,y),u,w) = a(x \ 1,u,w). L(x,y,(z * u) * (z \ 1)) = L(x,y,z * (u * (z \ 1))). L(x,y,z * L(u,w,u)) = L(x,y,z * u). a(x,y,x) \ R(z,u,w) = R(a(x,y,x) \ z,u,w). R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). a(x,a(y,z,y) * u,w) = a(x,u,w). R(x,R(y,z,y),u) = R(x,y,u). R(x,L(y,z,y),u) = R(x,y,u). (x * L(a(x,y,x) \ y,z,u)) * x = (x * L(x \ ((x * (y * x)) / x),z,u)) * x. a(L(a(x,y,x) * z,u,w),v5,v6) = a(L(z,u,w),v5,v6). a(x,y,x) \ L(x,z,u) = L(L(x,y,x),z,u). x * L(a(x,y,x) \ z,u,w) = L(x,y,x) * L(z,u,w). (x \ L(y,z,u)) * a(y,w,y) = x \ L(R(y,w,y),z,u). R(x,y,x) \ y = y * ((x * y) \ y). (x * a(y,z,u)) \ a(y,z,u) = a(y,z,u) \ (x \ a(y,z,u)). L(x,1 / y,z) = L(x,y \ 1,z). (x * L(y,z,y)) * L(u,y,x) = x * (L(y,z,y) * u). L(x,y \ (y * z),u) = L(x,z,u). a(x,y,a(z,u,z) * w) = a(x,y,w). K(x,T(y * z,y) * u) = K(x,(z * y) * u). a(x,y \ a(z,u,z),w) = a(x,y \ 1,w). a(x \ (y * ((z * y) \ y)),u,w) = a(x \ (z \ y),u,w). a(a(x,y,x) / z,u,w) = a(z \ 1,u,w). L(x,y,z * (u * (z \ 1))) = L(x,y,L(u,z,z)). R(a(x,y,x) \ z,u,w) \ v5 = (R(z,u,w) \ v5) * a(x,y,x). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). a(x,R(y,z,y),u) = a(x,y,u). a(x,L(y,z,y),u) = a(x,y,u). a(x,L(a(y,z,y) * u,w,v5),v6) = a(x,L(u,w,v5),v6). R(T(L(1 / x,y,x),z),R(x,y,x),R(x,y,x) \ z) = z \ (1 * (R(x,y,x) \ z)). L(a(x,y,x) \ z,u,w) \ v5 = (L(z,u,w) \ v5) * a(x,y,x). K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). a(L(x \ a(y,z,y),u,w),v5,v6) = a(L(x \ 1,u,w),v5,v6). (L(x,y,x) * L(y,z,u)) * x = (x * L(x \ ((x * (y * x)) / x),z,u)) * x. R(x,y,x) \ L(R(x,y,x),z,u) = x \ L(x,z,u). a(x,y,z * a(u,w,u)) = a(x,y,z). a(x,y,z * (u * (a(w,v5,w) * v6))) = a(x,y,(u * v6) * z). a(x,y,a(z,u,z) \ w) = a(x,y,w). a(x,y,(a(z,u,z) \ w) * v5) = a(x,y,w * v5). a(x,y,z \ (u * (a(w,v5,w) \ v6))) = a(x,y,z \ (u * v6)). a(x,y,L(a(z,u,z) * w,v5,v6)) = a(x,y,L(w,v5,v6)). a(x,y,L(a(z,u,z) \ w,v5,v6)) = a(x,y,L(w,v5,v6)). L(L(x,y,z) \ 1,L(x,y,z),z * L(y,u,y)) = (z * (L(y,u,y) * x)) \ (z * L(y,u,y)). R(L(T(1 / x,y),z,x),R(x,z,x),R(x,z,x) \ y) = y \ (1 * (R(x,z,x) \ y)). a(x,y \ (y * z),u) = a(x,z,u). a(x,L(y \ 1,y,z),u) = a(x,(z * y) \ z,u). a(x,L(y \ a(z,u,z),w,v5),v6) = a(x,L(y \ 1,w,v5),v6). R(x \ L(x,y,z),u,x) = x \ L(x,y,z). (x * L(x \ ((x * (y * x)) / x),z,u)) * x = (x * L(y,z,u)) * L(x,y,x). a(x,y,(R(z,u,z) \ w) \ v5) = a(x,y,(z \ w) \ v5). a(x,y,L(L(z,u,z),w,v5)) = a(x,y,L(z,w,v5)). a(x,y,(L(z,u,z) \ w) * v5) = a(x,y,(z \ w) * v5). a(x,y,L(L(z * a(u,w,u),v5,v6),v7,v8)) = a(x,y,L(L(z,v5,v6),v7,v8)). a(x,y,L(L(z,u,w),v5,z)) = a(x,y,L(z,u,w)). a(x,y,L(L(L(z,u,z),w,v5),v6,v7)) = a(x,y,L(L(z,w,v5),v6,v7)). K(x,(y \ z) * (y * u)) = K(x,T(z,y) * u). L(L(x,y,z) \ 1,L(x,y,z),z * y) = (z * (L(y,u,y) * x)) \ (z * L(y,u,y)). (x \ 1) * (y * T(x,x \ y)) = x * (y * T(x \ 1,x \ y)). (x \ 1) \ (y \ (x \ y)) = x * (y \ (x \ y)). (x * ((y \ z) \ z)) / L((y \ z) \ z,u,w) = (x * y) / L(y,u,w). a(x,y,R(z,z,u * w) \ (w * u)) = a(x,y,z \ L(u * w,z,z)). a(x,y,(z \ L(u,z,z)) * w) = a(x,y,(u / R(z,z,u)) * w). R(x,y,z * ((u * z) * u)) = L(x,y,a(u * z,u,z)). x * (L(x,y,y) \ y) = R(y,y,x). R(x,x,y * L(y,z,u)) * L(y \ L(y,z,u),x,x) = x * (y \ L(y,z,u)). R(x,y,z * ((u * w) * u)) = R(x,y,z * L(w,u,u)). R(x,y,z * ((u * (w * w)) \ v5)) = R(x,y,z * (u \ v5)). R(x,y,(z \ ((u * u) \ w)) * v5) = R(x,y,v5 * (z \ w)). R(x,y,R(z,u,u) * u) = R(x,y,L(z * u,u,u)). R(x,y,z \ L(u,z,z)) = R(x,y,u * z). R(x,y,((z \ 1) / (u \ 1)) \ (u * z)) = R(x,y,a(z \ 1,u,u)). R(x,y,z \ ((L(L(u,w,v5),v6,v7) \ 1) * (1 / u))) = R(x,y,z \ (u \ L(L(u,w,v5),v6,v7))). (x * ((x \ K(y,z)) * (u * L(u \ K(z,y),w,v5)))) \ (u * L(u \ 1,w,v5)) = a(x,x \ K(y,z),u * L(u \ K(z,y),w,v5)). (x * L(x \ K(y,z),u,w)) * T(v5,K(z,y) * (x * L(x \ K(y,z),u,w))) = K(y,z) * (v5 * (x * L(x \ 1,u,w))). K(x,y) * (L(y * x,z,u) * w) = L(x * y,z,u) * w. a(x,y,z \ (K(u,w) * (L(v5,v6,v7) * v8))) = a(x,y,z \ (v8 * L(K(u,w) * v5,v6,v7))). K(x,x \ y) * (L(y,z,u) / w) = L(x * (y / x),z,u) / w. T(x,y) \ L(T(x,y) * z,u,w) = x \ L(x * z,u,w). (x / y) * L((x / y) \ z,u,w) = (y \ x) * L((y \ x) \ z,u,w). (x / y) * L(L(y \ x,z,u) * y,w,v5) = (y \ x) * L(y * L(y \ x,z,u),w,v5). x * L(x \ T(y,z),u,w) = T(x * L(x \ y,u,w),z). (x * y) * L((x * y) \ (y * z),u,w) = y * (x * L(x \ z,u,w)). x * (y * L(y \ (x \ (y * z)),u,w)) = y * (x * L(x \ z,u,w)). (T(x,y) \ z) \ L(T(x,y) \ z,x,u) = (((u * x) \ (u * z)) \ (x \ z)) \ 1. ((x \ y) \ z) \ L(T(y / x,x) \ u,w,v5) = ((y / x) \ z) \ L((y / x) \ u,w,v5). (((x * x) \ x) \ y) \ L(T(x \ 1,x * x) \ z,u,w) = ((x \ 1) \ y) \ L((x \ 1) \ z,u,w). (x \ y) * L(T(x \ y,x) \ y,z,u) = L(x,z,u) * (y / x). L(x * y,z,u) * T(y,x) = L(y * x,z,u) * y. a(x,y,L(z * u,w,v5) * v6) = a(x,y,v6 * L(u * z,w,v5)). a(x,y,z \ (u * L(K(w,v5) * v6,v7,v8))) = a(x,y,z \ (L(v6,v7,v8) * u)). K(x,x \ y) * (L(y,z,u) / w) = (x * (L(y,z,u) / x)) / w. (x \ y) \ L(T(y / x,x) * z,u,w) = (y / x) \ L((y / x) * z,u,w). L(x / (y / z),u,w) * (y / z) = (z \ y) * L((z \ y) \ x,u,w). ((x \ 1) \ y) * L(((x \ 1) \ y) \ x,z,u) = ((y / (x \ 1)) \ L(y,z,u)) * (x * x). ((x * x) \ (y \ z)) * L(((x * x) \ (y \ z)) \ u,w,v5) = (y \ (z / (x * x))) * L(((y \ z) / (x * x)) \ u,w,v5). x * (((y * y) \ z) * L(((y * y) \ z) \ (x \ 1),u,w)) = ((x * z) / (y * y)) \ L(x * (z / (y * y)),u,w). L(x \ ((y \ z) * L((y \ z) \ u,w,v5)),x,y \ z) = ((z / y) * x) \ L((z / y) * u,w,v5). (1 / x) * L(L(x \ 1,y,z) * x,u,w) = x \ L(x * L(x \ 1,y,z),u,w). (x / y) \ L((x / y) * z,u,w) = (y \ x) \ L((y \ x) * z,u,w). L((x * y) \ L(x * y,z,u),x * y,y) = ((y * x) * y) \ (L(y * x,z,u) * y). x * (y * L(y \ z,x,y)) = y * (x * ((y * x) \ (x * z))). x * (y * L(y \ (x \ z),x,y)) = y * (x * ((y * x) \ z)). T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. K(x,y) \ ((y * x) \ z) = (x * y) \ z. (x * y) \ ((y * x) * z) = K(y,x) * z. L(x,y,z * ((u * z) \ w)) = L(x,y,z * ((z * u) \ w)). (x * ((y * x) \ y)) \ (y \ (x * y)) = 1 / ((x * y) \ y). (x * ((y * x) \ z)) \ T(x,y) = (x * ((x * y) \ z)) \ x. (a(x,y,z) \ 1) * (((a(x,y,z) \ 1) * u) \ w) = (a(x,y,z) \ 1) * ((u * (a(x,y,z) \ 1)) \ w). T(x,x * ((y * x) \ z)) = T(x,x * ((x * y) \ z)). R(x,y,z * ((u * z) \ w)) = R(x,y,z * ((z * u) \ w)). a(x,y,(((z * u) \ w) * T(z,u)) \ v5) = a(x,y,(z * ((u * z) \ w)) \ v5). a(x,y,(z * ((u * z) \ w)) * v5) = a(x,y,(z * ((z * u) \ w)) * v5). a(x,y,(z * (u * ((w * u) \ v5))) \ v6) = a(x,y,(z * (u * ((u * w) \ v5))) \ v6). a(x,y,L(z * (u * ((w * u) \ v5)),v6,v7)) = a(x,y,L(z * (u * ((u * w) \ v5)),v6,v7)). (x * y) * (K(y,x) * z) = (y * x) * z. (x * y) * (y \ L(T(y,x),z,u)) = (y * x) * (y \ L(y,z,u)). (x * y) * (T(x,y) \ z) = (y * x) * (x \ z). (x * y) * (T(y,x) * z) = (y * x) * (y * z). x * (K(y \ x,y) * z) = ((y \ x) * y) * z. ((x \ y) * x) * ((x \ y) * z) = y * (T(x \ y,x) * z). ((x \ y) * x) * x = y * (y / (y / x)). x * L(K(y \ x,y) * z,u,w) = ((y \ x) * y) * L(z,u,w). a(x,(y \ 1) \ 1,z) = a(x,y,z). K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. K(x,y) * (((x * y) \ z) * u) = ((y * x) \ z) * u. ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. ((x * y) \ z) * K(x,y) = T((y * x) \ z,K(x,y)). a((x * y) \ z,u,w) = a((y * x) \ z,u,w). L(x,y,z * ((u * w) \ v5)) = L(x,y,z * ((w * u) \ v5)). R(x,y,(z * u) \ w) = R(x,y,(u * z) \ w). L(x,y,((z * u) \ w) \ v5) = L(x,y,((u * z) \ w) \ v5). a(x,y,z * ((u * w) \ v5)) = a(x,y,z * ((w * u) \ 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). a(x,y,L((z * u) \ w,v5,v6)) = a(x,y,L((u * z) \ w,v5,v6)). R(x,y,((z \ u) * z) \ w) = R(x,y,u \ w). a(x,y,(((z \ u) * z) \ w) \ v5) = a(x,y,(u \ w) \ v5). R(x,y,((z * u) \ w) * v5) = R(x,y,((u * z) \ w) * v5). R(x,y,((z * u) \ w) * v5) = R(x,y,v5 * ((u * z) \ w)). a(x,y,((z * u) \ w) * v5) = a(x,y,v5 * ((u * z) \ w)). T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. (x * y) * (x \ K(y,x)) = (y * x) * (x \ 1). (x * y) * (x \ K(y,x)) = R(y,x,x). R(x,(x / y) \ x,x / y) * x = (((y \ x) * y) * y) * (x / y). a((x * y) \ y,z,a(u,w,x)) = 1. a((x * y) \ (y * (z * x)),u,w) = a(L(T(z,x),x,y),u,w). ((x \ K(y,x)) * (L(x \ K(y,x),z,u) \ (x * y))) * L(x \ K(y,x),z,u) = R(y,x,x). R(x,y,x / y) * x = (((y \ x) * y) * y) * (x / y). L(x,y,z) * R(u,x,L(x,y,z) * (x \ 1)) = (x * u) * (x \ L(x,y,z)). T(((x * y) \ x) \ 1,z) * x = x * T(((y * x) \ x) \ 1,z). a(x,y,z \ (u * (w \ (((v5 * v6) \ v6) \ 1)))) = a(x,y,z \ (u * (w \ (((v6 * v5) \ v6) \ 1)))). a((x * y) \ (y * (z * x)),u,w) = a(L(z,x,y),u,w). T(x,x * ((x * y) \ z)) = T(x,R(y,x,x) \ z). R(x,y,y \ x) * x = (((y \ x) * y) * y) * (x / y). L(x,y,((z * u) \ (u * (w * z))) \ v5) = L(x,y,L(T(w,z),z,u) \ v5). a((x * y) \ (L(x,z,y) * (y * z)),u,w) = a(L(z,x,y),u,w). a(R(x,y,z),u,w) = a(L(x,y,z),u,w). R(x,y,z / (u * w)) = R(x,y,(w * u) \ z). R(x,y,(y * x) \ z) \ z = y * ((x * y) \ z). L(R(x,y,(z * u) \ w),v5,v6) * (y * ((u * z) \ w)) = (L(x,v5,v6) * y) * ((u * z) \ w). R(x,y,(z * u) \ ((w * u) * z)) = R(x,y,R(w,u,z)). R(x,y,(T(z / (u \ 1),u) \ w) * v5) = R(x,y,(((u * u) * (u \ z)) \ w) * v5). R(x,y,L(T(z,u),u,w)) = R(x,y,R(z,u,w)). (x / R(y,z,(z * y) \ x)) * L(R(y,z,(z * y) \ x),u,w) = L(R(y,z,(z * y) \ x),u,w) * (z * ((y * z) \ x)). L(x,y,z) * R(u,x,x \ L(x,y,z)) = (x * u) * (x \ L(x,y,z)). (((x \ y) * x) * x) * (y / x) = (y * x) * (x \ y). L(x,y,((z * u) \ (u * (w * z))) \ v5) = L(x,y,L(w,z,u) \ v5). R(x,y,(((z * z) * (z \ u)) \ w) * v5) = R(x,y,((u / (z \ 1)) \ w) * v5). R(x,y,R(z,u,w)) = R(x,y,L(z,u,w)). (x / R(y,z,(z * y) \ x)) * L(R(y,z,(z * y) \ x),u,w) = (L(y,u,w) * z) * ((y * z) \ x). R(x,y,(((z * z) * (z \ u)) \ w) * v5) = R(x,y,(((z \ 1) \ u) \ w) * v5). a(x,y,(z / (u * w)) * v5) = a(x,y,((w * u) \ z) * v5). a(x,y,z * ((u * w) \ ((u * v5) * w))) = a(x,y,z * L(v5,u,w)). a(x,y,z * L(u \ w,u,v5)) = a(x,y,z * ((u * v5) \ (v5 * w))). a(x,y,R(z,z,u) * ((z * z) \ u)) = a(x,y,z \ u). a(x,y,(((z * u) \ w) * z) \ v5) = a(x,y,(z * ((u * z) \ w)) \ v5). a(x,y,((z * u) \ ((w * u) * z)) * v5) = a(x,y,R(w,u,z) * v5). a(x,y,(z / (u * w)) \ v5) = a(x,y,((w * u) \ z) \ v5). a(x,y,(((z * (u * u)) * w) \ v5) \ v6) = a(x,y,(((w * z) * (u * u)) \ v5) \ v6). a(x,y,((z * u) \ (u * (w * z))) \ v5) = a(x,y,L(T(w,z),z,u) \ v5). R(x,y,y \ L(y,z,u)) = L(x,y,y \ L(y,z,u)). a(x,y,L(z,((u \ w) * u) * u,w / u) * ((w * u) * (u \ w))) = a(x,y,(w / u) * ((((u \ w) * u) * u) * z)). ((x \ y) * x) * L(((x \ y) * x) \ z,u,w) = y * L((x * (x \ y)) \ z,u,w). ((x \ y) * x) * L(((x \ y) * x) \ z,u,w) = y * L(y \ z,u,w). (x \ y) * (x * L(x \ ((x \ y) \ z),u,w)) = y * L(y \ z,u,w). T((x \ y) * L((x \ y) \ z,u,w),x) = x \ (y * L(y \ (z * x),u,w)). L((x \ y) \ y,z,u) * (w / ((x \ y) \ w)) = L(x,z,u) * (y / x). ((x * x) \ (y \ z)) * L(((x * x) \ (y \ z)) \ u,w,v5) = (y \ (z / (x * x))) * L((y \ (z / (x * x))) \ u,w,v5). (1 / x) * L((x \ 1) * L(x,y,z),u,w) = x \ L(x * L(x \ 1,y,z),u,w). ((x / y) \ z) \ L((x / y) \ u,w,v5) = ((y \ x) \ z) \ L((y \ x) \ u,w,v5). (((x * x) \ x) \ y) \ L(((x * x) \ x) \ z,u,w) = ((x \ 1) \ y) \ L((x \ 1) \ z,u,w). (x \ y) \ L((x \ y) * x,z,u) = (y / x) \ L(y,z,u). R(x,y,((z * z) / u) \ w) = R(x,y,u \ w). R(x,y,(z * (u \ 1)) \ w) = R(x,y,(z * u) \ w). R(x,y,(z * L(u \ 1,w,v5)) \ v6) = R(x,y,(z * L(u,w,v5)) \ v6). (x * (L(y,z,y) * u)) \ (x * L(y,z,y)) = (x * (y * u)) \ ((x * y) * 1). R(x,y,(z * (u * (w * (v5 * v5)))) \ v6) = R(x,y,(z * (u * w)) \ v6). (T(x,x \ y) \ z) * ((x \ y) \ y) = ((y \ (x * y)) \ z) * (y \ (x * y)). K(x,y) * (a(z \ 1,z,y) * (L(y,z,z \ 1) * x)) = L(x,L(y,z,z \ 1),a(z \ 1,z,y)) * y. (x / y) * (y * (x \ 1)) = a(y \ x,y,x) \ 1. (x * y) * L(z,R(x,y,y) \ (x * y),L(x,y,y)) = R(x,y,y) * (L(y,y,L(x,y,y)) * z). L(x,y,L(z,u,w \ 1)) = L(x,y,L(z,u,w)). L(x,y,L(z,u,z \ 1)) = L(x,y,z). (x * R(L(y,z,u) * L(y \ 1,z,u),x,w)) \ ((x * (L(y,z,u) * L(y \ 1,z,u))) * w) = L(w,x,L(y,z,u) * L(y \ 1,z,u)). L(x,y,L(z \ R(u,z,z),w,v5)) = L(x,y,L(u * (z \ 1),w,v5)). a(L(x,y,y \ 1),z,u) = a(L(x,y,y),z,u). a(L(x,y,y),y,y) = a(x,y,y). a(L(x,y,z),y,z) = (x * y) \ (R(x,y,z) * y). a(R(L(x,y,z),u,w),v5,v6) = a(L(L(x,u,w),y,z),v5,v6). a(L(x / y,y,y),z,u) = a(x * (y \ 1),z,u). a(L(x,y,z * (u * u)),w,v5) = a(R(x,y,z),w,v5). a(L(x,y,z \ 1),u,w) = a(R(x,y,z),u,w). a(x \ ((y * y) \ (y * (x * y))),z,u) = a(a(x,y,y),z,u). (a(x \ y,x,z) \ (y * z)) / (y * z) = (1 * ((x \ y) * (x * z))) / (((x \ y) * x) * z). L(x,y,(z * (u * w)) \ (u * (w * z))) = L(x,y,a(z,w,u)). (L(x,y,x) * (y * L(x,z,u))) \ (x * (y * L(x,z,u))) = a(x,y,L(x,z,u)). ((1 / x) * (x * ((y * x) \ y))) \ ((y * x) \ y) = a((y * x) \ y,x,x \ 1). ((x \ R(x,y,z)) \ 1) * a(x,y,z) = (x \ R(x,y,z)) \ a(x,y,z). L(((x * (y * x)) / x) * x,z,u) = (x * L(y,z,u)) * L(x,y,x). L(x \ 1,y,z) * ((x \ 1) \ u) = L(x,y,z) * (x \ u). R(x,L(y,z,u),x) = R(x,y,x). a(x,R(y,z,u),x) = a(x,y,x). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. (L(x,y,z) \ 1) / (x \ 1) = L(x,y,z) \ x. (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. a(x,y,(L((z * u) * w,v5,(z * u) * w) \ ((z * u) * R(w,u,z))) * v6) = a(x,y,a(w,u,z) * v6). a(x,y,L(L(L(z,u,w),v5,v6),v7,z)) = a(x,y,L(L(z,u,w),v5,v6)). (x * (L(y,z,y) * u)) \ (x * L(y,z,y)) = (x * (y * u)) \ (x * y). x * L(L(R(y,x,y),z,u),w,v5) = T(L(L(y,z,u),w,v5) * x,y). ((x \ L(x,y,z)) * (u * x)) \ (u * L(x,y,z)) = a(x \ L(x,y,z),x,u). ((L(x,y,y) \ z) * x) \ (a(y,y,x) * ((x \ z) * x)) = ((z / L(x,y,y)) * (L(x,y,y) * a(y,y,x))) \ (a(y,y,x) * z). a(x / (L(y,z,z) * K(u,w)),L(y,z,z),a(z,z,y)) = ((y * ((L(y,z,z) \ x) * K(w,u))) \ (a(z,z,y) * x)) * K(w,u). (a(x,x,y) * (z * L(y,x,x))) \ (z * y) = a(a(x,x,y),L(y,x,x),z). R(x,y,z \ ((u \ 1) \ w)) = R(x,y,z \ (u \ w)). R(1 / x,x,L(y,z,u)) \ R(y,z,u) = x * R(y,z,u). ((x * L(y,z,u)) \ (x * y)) * w = w * ((L(y,z,u) * x) \ (y * x)). x * (L(x,y,z) \ (u * (x \ 1))) = R(u / L(x,y,z),x,x). R(x,y,(x * z) \ z) = R(x,y,x). R(x,y,z \ ((u \ 1) \ z)) = R(x,y,(u * z) \ z). a(x,y,z \ ((u * u) * ((u * w) \ w))) = a(x,y,z \ (w \ ((u \ 1) \ w))). R(x,y,z * (u \ ((w \ 1) \ u))) = R(x,y,z * ((w * u) \ u)). L(L(T(x,y),z,u),w,v5) * (L(x,z,u) \ (y * x)) = (x * (L(x,z,u) \ y)) * L(L(T(x,y),z,u),w,v5). a(x,y,R(L(z,u,w),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)). a(x,y,((z * z) \ u) \ w) = a(x,y,(u \ w) * (z * z)). a(x,y,((z \ u) \ w) * (u * u)) = a(x,y,(z \ (u \ 1)) \ w). a(x,y,(z \ R(K(u,w) * v5,v6,v7)) * v8) = a(x,y,v8 * ((z \ R(v5,v6,v7)) * K(u,w))). a(x,y,z * ((u * w) \ (w * (v5 * u)))) = a(x,y,z * R(v5,u,w)). a(x,y,(z \ L(K(u,w) * v5,v6,v7)) * v8) = a(x,y,v8 * ((z \ L(v5,v6,v7)) * K(u,w))). a(x,y,z * (((u * w) * v5) * v6)) = a(x,y,z * (v6 * ((w * u) * v5))). a(x,y,z * ((u * (w / v5)) * v6)) = a(x,y,z * ((u * (v5 \ w)) * v6)). a(x,y,z * (u * L((w / v5) * v6,v7,v8))) = a(x,y,z * (u * L((v5 \ w) * v6,v7,v8))). a(x,y,z \ (((u \ w) \ w) * ((u \ w) \ w))) = a(x,y,(z \ 1) * (u * u)). a(x,y,(z * (u * (w * v5))) * v6) = a(x,y,v6 * (((v5 * w) * u) * z)). a(x,y,L(z,u,w * w)) = a(x,y,z). a(x,y,z * ((u * u) \ w)) = a(x,y,w * (z / (u * u))). a(x,y,z * ((u * u) \ w)) = a(x,y,w * ((u * u) \ z)). a(x,y,(z * u) * (z \ 1)) = a(x,y,L(u,z,z)). a(x,y,((z * (u * u)) * w) * v5) = a(x,y,(u * u) * ((w * z) * v5)). a(x,y,(z * (u * (w * w))) * v5) = a(x,y,(w * w) * ((z * u) * v5)). a(x,y,L(L(z,u,w) \ v5,L(z,u,w),L(z,v6,v7) \ 1) \ (v5 * (1 / L(z,v6,v7)))) = a(x,y,L(z,v6,v7) \ L(z,u,w)). a(x,y,((z * u) * (w / v5)) \ (((v5 \ w) * u) * z)) = a(x,y,a(w / v5,u,z)). a(x,y,((z * ((u * w) / u)) * u) \ ((T(u,w) * w) * z)) = a(x,y,a(u,(u * w) / u,z)). a(x,y,((z * u) * (w \ K(u,w \ 1))) \ ((u * (w \ 1)) * z)) = a(x,y,a(w \ K(u,w \ 1),u,z)). a(x,y,z \ (((u \ (w \ v5)) * (w * w)) * v6)) = a(x,y,z \ (v6 * (u \ (v5 / (w \ 1))))). a(x,y,L(z,u,w * (v5 * v5))) = a(x,y,R(z,u,w)). a(x,y,L(z,u,w \ 1)) = a(x,y,R(z,u,w)). a(x,y,L(z,u,w \ (w \ 1))) = a(x,y,z). a(x,y,L(z,u,(w * w) \ v5)) = a(x,y,R(z,u,v5)). a(x,y,L(z,u,(w \ 1) \ v5)) = a(x,y,R(z,u,w \ v5)). a(x,y,L(T(z,u * u),u * u,w)) = a(x,y,L(z,w,u * u)). a((x \ (x \ 1)) \ ((1 / x) * y),x \ 1,x \ 1) = a((x \ 1) \ y,x \ 1,x \ 1). R(x,y \ R(y,z,u),x) = R(x,a(y,z,u),x). a(x,y,L(z,u,w * (((u * z) \ 1) / w))) = a(x,y,(u * (w * (((u * z) \ 1) / w))) \ 1). a(x,y,L((z * u) \ w,z * u,v5 \ (v5 \ 1))) = a(x,y,(z * (u * (v5 \ (1 / v5)))) \ (w * (v5 \ (1 / v5)))). a(x,y,((((z * z) * (z \ u)) \ w) * (z * z)) \ v5) = a(x,y,((z * z) * (T(u / (z \ 1),z) \ w)) \ v5). a(x,y,((z \ u) * (z \ u)) \ (w \ ((u / z) * (u / z)))) = a(x,y,w \ 1). a(x,y,((z * u) \ (u * (w * z))) \ v5) = a(x,y,L(w,z,u) \ v5). a(x,y,(z \ ((u / (w * w)) \ v5)) * v6) = a(x,y,((z \ (u \ v5)) * (w * w)) * v6). a(x,y,z \ (((u / (w * w)) \ v5) \ v6)) = a(x,y,z \ (((u \ v5) * (w * w)) \ v6)). a(x,y,(((z * z) \ u) \ w) * v5) = a(x,y,((u \ w) * (z * z)) * v5). a(x,y,((z \ u) * (z * z)) * w) = a(x,y,((z \ 1) \ u) * w). a(x,y,(((z \ u) \ w) * (u * u)) * v5) = a(x,y,((z \ (u \ 1)) \ w) * v5). K(x,x \ L(y,z,u)) = K(x,x \ y). ((x / y) * z) \ L((x / y) * u,w,v5) = ((y \ x) * z) \ L((y \ x) * u,w,v5). K(x,y) * (z * (u * L(u \ (z \ K(y,x)),w,v5))) = (z * u) \ L(z * u,w,v5). R(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)). x * ((a(y,z,u) * x) \ x) = a(y,z,u) \ x. R(x \ ((x / y) * L(y,z,u)),x,x \ ((x / y) * L(y,z,u))) \ x = x * (((x / y) * L(y,z,u)) \ x). ((x * T(x / y,y)) / ((x / y) * y)) \ y = y * (((x / y) * y) \ y). a(x,y,(z * ((u * z) \ z)) \ w) = a(x,y,(u \ z) \ w). a((x * y) \ y,z,u) = a(y \ (x \ y),z,u). ((x \ L(x,y,z)) \ 1) \ ((L(x \ L(x,y,z),u,w) \ v5) * (x \ L(x,y,z))) = L((x \ L(x,y,z)) \ 1,u,w) \ v5. (L(a(x,y,z) \ 1,u,w) \ v5) * (a(x,y,z) \ 1) = a(x,y,z) * (L(a(x,y,z),u,w) \ v5). x * (L(x,x,y) \ y) = R(y,x,x). (x * (L(x,y,z) \ u)) * L(x \ 1,y,z) = u * (x \ 1). L(x,x,y) \ y = x \ R(y,x,x). (x \ (x \ 1)) * (L(x \ 1,y,z) \ (1 / L(x \ 1,y,z))) = L(x,y,z) \ (1 / L(x \ 1,y,z)). (x \ 1) * ((x \ 1) * (L(x \ 1,y,z) \ u)) = x * (L(x,y,z) \ ((x \ 1) * u)). (x \ L(x,y,z)) * (L((L(x,y,z) \ x) \ 1,u,w) \ v5) = (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5). R(x,y,y) \ (x * y) = L(y,y,x). L(x,x,L(y,x,x)) = L(x,x,y). (R(x,y,y) / y) * L(y,y,x) = x. ((R(x,y,y) * (L(y,y,x) * z)) / z) \ (R(x,y,y) * L(y,y,x)) = (x * y) / ((R(x,y,y) * (L(y,y,x) * z)) / z). ((x * (y * z)) / L(z,z,y)) \ (x * R(y,z,z)) = a(x,R(y,z,z),L(z,z,y)). ((R(x,y,y) * (L(y,y,x) * z)) / z) \ (x * y) = a(R(x,y,y),L(y,y,x),z). R(L(T(1 / x,y),z,x),x,R(x,z,x) \ y) = y \ (1 * (R(x,z,x) \ y)). (x * ((y \ z) \ z)) / L((y \ z) \ z,u,w) = y * (L(y,u,w) \ x). a(x,y,(R(z,z,u) \ u) * w) = a(x,y,(z \ L(u,z,z)) * w). R(x,y,(((z * z) * u) \ w) * v5) = R(x,y,v5 * (u \ w)). R(x,y,R(z \ u,z,z) * z) = R(x,y,L(u,z,z)). R(x,y,R(z,z,u) \ u) = R(x,y,u * z). R(x,y,z \ ((L(L(u,w,v5),v6,v7) \ 1) * (u \ 1))) = R(x,y,z \ (u \ L(L(u,w,v5),v6,v7))). R(x,y,z * R(z,u,u)) = R(x,y,a(z,u,z * u)). R(x,y,(z \ u) * (z * u)) = L(x,y,a(z \ u,z,u)). a(x,y,L(z,((u \ w) * u) * u,u \ w) * ((w * u) * (u \ w))) = a(x,y,(w / u) * ((((u \ w) * u) * u) * z)). (x * L(x \ K(y,z),u,w)) * T(v5,x * L(x \ 1,u,w)) = K(y,z) * (v5 * (x * L(x \ 1,u,w))). (1 / x) * L((x \ 1) * L(x,y,z),u,w) = x \ L(x \ L(x,y,z),u,w). L((x \ y) \ y,z,u) * (x \ y) = L(x,z,u) * (y / x). ((x * x) \ y) * L(((x * x) \ y) \ z,u,w) = y * L(y \ z,u,w). (((x * x) \ y) \ z) \ L(((x * x) \ y) \ z,u,w) = ((y \ z) * (x * x)) \ L(y \ (z * (x * x)),u,w). L(x,y,z) / (u \ x) = (x / u) \ L(x,y,z). (x \ y) * L((x \ y) \ x,z,u) = (y / x) \ L(y,z,u). R(x,y,(z * (L(z,u,w) \ z)) \ v5) = R(x,y,L(z,u,w) \ v5). R(x,y \ 1,(x * y) \ z) \ z = (y \ 1) * ((x * (y \ 1)) \ z). (T(x,x \ y) \ z) * ((x \ y) \ y) = (T(x,y) \ z) * (y \ (x * y)). L(x,y,(z \ (z \ 1)) \ ((1 / z) * u)) = L(x,y,L(u / (z \ 1),z \ 1,z)). L(x \ L(x,y \ L(y,z,u),y),x,L(y,z,u)) = a(x,y \ L(y,z,u),y). (L(x,y,z) * u) / ((x * (u \ 1)) * (u * u)) = (x * (u \ 1)) \ (L(x,y,z) * (u \ 1)). (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). a(L(R(x,y,z),u,w),v5,v6) = a(L(L(x,y,z),u,w),v5,v6). a(L(x \ y,x,x),z,u) = a(y * (x \ 1),z,u). a(L(x,y,z * (u * u)),w,v5) = a(L(x,y,z),w,v5). a(L(x,y,z \ 1),u,w) = a(L(x,y,z),u,w). a(L(x,y * y,z),u,w) = a(x,u,w). a(x \ L(T(x,y),y,y),z,u) = a(a(x,y,y),z,u). (a(x \ y,x,z) \ (y * z)) / (y * z) = ((x \ y) * (x * z)) / (((x \ y) * x) * z). a((x * y) * (x \ 1),z,u) = a(L(y,x,x),z,u). L(x,y,((z * u) * w) \ (z * (u * w))) = L(x,y,a(w,u,z)). a(x,y,L(x,z,u)) = a(x,y,x). L((x * y) \ x,y,y \ 1) \ ((x * y) \ x) = a((x * y) \ x,y,y \ 1). (x * L(y,z,u)) * L(x,y,x) = L(x * (y * x),z,u). a(x,y,z \ ((x \ 1) \ z)) = a(x,y,x). a(x \ y,z,y \ x) = a(x \ y,z,x \ y). (x / (y \ 1)) * L(y \ 1,z,u) = L(y,z,u) * (y \ x). ((a(x,y,z) \ 1) \ u) * L(a(x,y,z) \ 1,w,v5) = L(a(x,y,z),w,v5) * (a(x,y,z) \ u). (x \ 1) * (L(x,y,z) * (x \ u)) = L(x \ 1,y,z) * u. (L(x,y,z) * (x \ u)) / L(x \ 1,y,z) = u / (x \ 1). (x \ 1) * (L(x \ 1,y,z) \ (L(x,u,w) * (x \ v5))) = L(x \ 1,y,z) \ (L(x \ 1,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). (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. (L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z))) * (L(x,y,z) \ x) = L(x \ L(x,y,z),u,w) \ 1. (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. R(L(x,y,z) \ x,x \ 1,(L(x,y,z) \ 1) \ u) \ u = (x \ 1) * ((L(x,y,z) \ 1) \ u). R(L(x,y,z) \ x,x \ 1,(x \ 1) \ u) * u = (L(x,y,z) \ 1) * ((x \ 1) \ u). x * T(L(L(x,y,z),u,w) * v5,x) = (x * v5) * L(L(x,y,z),u,w). ((x \ L(x,y,z)) * (u * x)) * a(x,x \ L(x,y,z),u) = u * L(x,y,z). ((L(x,y,y) \ z) * x) \ (a(y,y,x) * ((x \ z) * x)) = ((z / L(x,y,y)) * x) \ (a(y,y,x) * z). a(x,x \ 1,y * L(y,z,u)) = a(x,x,L(y,z,u) \ y). R(x,y,R(z / u,u,z \ ((w \ 1) \ v5)) \ (w \ v5)) = R(x,y,u * (z \ ((w \ 1) \ v5))). R(x,y \ R(y,z,u),x) = x. L(x,y,z) * R(u / L(x,y,z),x,x) = x * (u * (x \ 1)). R(x \ y,z,y \ x) = R(x \ y,z,x \ y). R(x,y,(z * u) \ u) = R(x,y,u \ (z \ u)). a(x,y,((z * z) * u) \ w) = a(x,y,u \ ((z * z) \ w)). a(x,y,(z * u) * ((w * w) \ v5)) = a(x,y,v5 * (z * (u / (w * w)))). a(x,y,((z * u) * (u \ z)) * ((z * z) \ w)) = a(x,y,w * a(z,u,u \ z)). a(x,y,(z * u) * ((z * z) \ w)) = a(x,y,w * L(z \ u,z,z)). a(x,y,((z * z) \ u) * w) = a(x,y,u * ((z * z) \ w)). a(x,y,(z * u) * z) = a(x,y,L(u,z,z)). a(x,y,L(R(z,u,w),v5,v6)) = a(x,y,L(L(z,u,w),v5,v6)). a(x,y,(z \ R(K(u,w) * v5,v6,v7)) * v8) = a(x,y,v8 * (z \ R(v5,v6,v7))). a(x,y,(z \ L(K(u,w) * v5,v6,v7)) * v8) = a(x,y,v8 * (z \ L(v5,v6,v7))). a(x,y,z \ (((u \ w) \ w) * ((u \ w) \ w))) = a(x,y,z \ (u * u)). a(x,y,L(z,u,w * (v5 * v5))) = a(x,y,L(z,u,w)). a(x,y,L(z,u,w \ 1)) = a(x,y,L(z,u,w)). a(x,y,L(z,u,(w * w) \ v5)) = a(x,y,L(z,u,v5)). a(x,y,L(z,u,(w \ 1) \ v5)) = a(x,y,L(z,u,w \ v5)). a(x,y,((z * ((u * w) / u)) * u) \ (z * (u * w))) = a(x,y,a(u,(u * w) / u,z)). a(x,y,((z * u) * (w \ 1)) \ ((u * (w \ 1)) * z)) = a(x,y,a(w \ K(u,w \ 1),u,z)). a(x,y,(z * (u * (w \ (1 / w)))) \ (v5 * (w \ (1 / w)))) = a(x,y,(z * u) \ v5). a(x,y,L(z,u * u,w)) = a(x,y,L(z,w,u * u)). a(x,y,L(z,u,(u * z) \ 1)) = a(x,y,(u * (w * (((u * z) \ 1) / w))) \ 1). a(x,y,((z \ u) * (z \ u)) \ (w \ ((u / z) * (u / z)))) = a(x,y,w). ((x \ 1) * (y * x)) \ L((x \ 1) * (y * x),z,u) = L(T(y,x) \ L(T(y,x),z,u),x,x \ 1). (((x * y) \ 1) * x) \ L(((x * y) \ 1) * x,z,u) = (1 / (x * y)) * (x * L(y,z,u)). ((x \ y) * z) \ L((x \ y) * x,u,w) = ((y / x) * z) \ L(y,u,w). (((x \ y) * z) \ L((x \ y) * z,u,w)) \ 1 = L((y / x) * z,u,w) \ ((y / x) * z). K(L(x,y,z) \ 1,x) * ((L(x,y,z) \ u) \ (u * L(u \ (L(x,y,z) \ u),w,v5))) = L(L(x,y,z) \ 1,w,v5) * L(x,y,z). x \ ((x / (y \ 1)) * (y \ (K(y * x,y \ 1) * L(K(y * x,y \ 1) \ y,z,u)))) = L(x \ ((y \ K(y * x,y \ 1)) \ x),z,u). (a(x,y,z) \ u) \ a(x,y,z) = a(x,y,z) * (u \ a(x,y,z)). (a(x,y,z) * u) \ u = u \ (a(x,y,z) \ u). x * ((x * a(y,z,u)) \ x) = a(y,z,u) \ x. (x * a(y,z,u)) \ x = x \ (a(y,z,u) \ x). ((x * (y \ x)) / ((x / y) * y)) \ y = y * (((x / y) * y) \ y). a((x * y) \ x,z,u) = a(x \ (y \ x),z,u). (x * (y \ L(y,z,u))) \ ((x / y) * L(y,z,u)) = a(y,y \ L(y,z,u),y \ x). L(x,x,y) * R(y,x,x) = x * y. L(x,y,L(L(z,z,u) \ u,z,z)) = L(x,y,R(u,z,z) * (z \ 1)). (x * L(y,z,u)) * (y \ 1) = (x * y) * L(y \ 1,z,u). L(x,y,L(L(z,z,u) \ u,w,v5)) = L(x,y,L(u * (z \ 1),w,v5)). (x \ 1) * (x * (L(x,y,z) \ u)) = x * (L(x,y,z) \ ((x \ 1) * u)). R(x / y,y,y) \ x = L(y,y,y \ x). x * (R(x,y,y) \ y) = L(y,y,x). L(x,y,L(z,z,u * z)) = L(x,y,L(z,z,u)). (x * y) / ((R(x,y,y) * (L(y,y,x) * z)) / z) = ((R(x,y,y) * (L(y,y,x) * z)) / z) \ (x * y). R(L(T(1 / x,y),z,x),x,x \ y) = y \ (1 * (R(x,z,x) \ y)). ((x \ y) \ y) * (L((x \ y) \ y,z,u) \ w) = x * (L(x,z,u) \ w). R(x,y,(((z \ 1) \ u) \ w) * v5) = R(x,y,v5 * ((z \ u) \ w)). R(x,y,z \ ((L(L(u,w,v5),v6,v7) \ 1) * u)) = R(x,y,z \ (u \ L(L(u,w,v5),v6,v7))). R(x,y,z * R(z,u,u)) = L(x,y,a(z,u,z * u)). K(x,y) * (z * (u * L(u \ 1,w,v5))) = (u * L(u \ K(x,y),w,v5)) * z. (x \ (y / (z * z))) * L((x \ (y / (z * z))) \ u,w,v5) = (x \ y) * L((x \ y) \ u,w,v5). ((x * y) / (z * z)) \ L(x * (y / (z * z)),u,w) = x * (y * L(y \ (x \ 1),u,w)). (((x * x) \ y) \ z) \ L(((x * x) \ y) \ z,u,w) = ((y \ z) * (x * x)) \ L((y \ z) * (x * x),u,w). ((x / y) \ L(x,z,u)) \ L(x,z,u) = y \ x. x \ (y * L(y \ (x * x),z,u)) = (y / x) \ L(y,z,u). L(x,y \ R(y,z,u),x) = x. (x / (y \ R(y,z,u))) * ((y \ R(y,z,u)) * ((y \ R(y,z,u)) \ x)) = x * ((y \ R(y,z,u)) \ x). (T(x,x \ y) \ z) * ((x \ y) \ y) = (T(x,y) \ z) * T(x,y). L(x,y,L((z \ 1) \ u,z,z)) = L(x,y,u * z). L(x,y,L(z,u \ 1,u)) = L(x,y,L(z,u,u)). (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. L(x \ L(x,y,y \ L(y,z,u)),x,L(y,z,u)) = a(x,y \ L(y,z,u),y). L((x * y) \ L(x * y,z,u),w,v5) = L((y * x) \ L(y * x,z,u),w,v5). T((x * y) \ (x * L(y,z,u)),w) = (y * x) \ (L(y,z,u) * x). (L(x,y,z) \ x) \ ((L(x \ L(x,y,z),u,w) \ v5) * (x \ L(x,y,z))) = L((x \ L(x,y,z)) \ 1,u,w) \ v5. (x * (y * (z \ L(z,u,w)))) / T((z \ L(z,u,w)) * x,y) = L(y,z \ L(z,u,w),x). ((x * (a(y,z,u) \ 1)) * w) / (w * T(x,u \ L(u,z,y))) = R(a(y,z,u) \ K(x,w),x,w). (L(x,y,z) * u) / (x * ((u \ 1) * (u * u))) = (x * (u \ 1)) \ (L(x,y,z) * (u \ 1)). x / (((x * y) * y) / (y * y)) = ((x * y) * y) \ (x * (y * y)). ((x * y) * (y \ z)) \ (x * (y * (y \ z))) = (x * z) / ((x * y) * (y \ z)). ((x * y) * T(z,y)) \ (x * (y * T(z,y))) = (x * (z * y)) / ((x * y) * T(z,y)). ((L(R(x,y,z),u,w) * (x * v5)) / v5) \ (x * L(R(x,y,z),u,w)) = a(L(L(x,y,z),u,w),x,v5). a(x * (y \ 1),y,y) = a(y \ x,y,y). a(x \ ((x \ 1) * y),z,u) = a((x * x) \ y,z,u). a(x \ L(x,y,y),z,u) = a(a(x,y,y),z,u). ((x \ y) * (x * z)) / (((x \ y) * x) * z) = ((y / x) * (x * z)) / (y * z). L(R(x,y,z),u,L(x,w,v5)) = L(R(x,y,z),u,x). R(a(x,y,x) \ x,z,u) = L(R(x,z,u),y,L(x,w,v5)). L((x \ y) \ 1,y,y \ (x * 1)) * y = y * T((x \ y) \ 1,x). 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(x,y,x) = x * (L(y,z,u) * x). (x / (L(y,z,u) \ 1)) * L(L(y,z,u) \ 1,w,v5) = (x / L(y,z,u)) * L(L(y,z,u),w,v5). x * (L(y,y,x) \ L(L(y,y,x),z,u)) = L(y,z,u) * (y \ x). (L(x,y,z) * (x \ u)) / (x \ 1) = L(x,y,z) * (x \ (u / (x \ 1))). L(x \ 1,y,z) \ (L(x \ 1,u,w) * v5) = x * (L(x,y,z) \ (L(x,u,w) * (x \ v5))). ((K(x,y) * z) \ 1) * (L(K(x,y) * z,u,w) \ (K(x,y) * z)) = L(z,u,w) \ (K(y,x) * 1). L(x \ 1,y,z) \ (x \ 1) = L(x,y,z) \ x. L((L(x,y,z) \ x) \ u,L(x,y,z) \ x,x \ 1) = (L(x,y,z) \ 1) \ ((x \ 1) * u). R(L(x,y,z) \ x,x \ 1,L(x,y,z) \ u) \ u = (x \ 1) * ((L(x,y,z) \ 1) \ u). R(L(x,y,z) \ x,x \ 1,x \ u) * u = (L(x,y,z) \ 1) * ((x \ 1) \ u). L(x,y,L(z \ L(z,u,w),z,w * u)) = L(x,y,a(z,u,w)). ((x * (a(y,z,u) \ 1)) * w) / (w * x) = R(a(y,z,u) \ K(x,w),x,w). ((L(x,y,y) \ z) * x) \ (a(y,y,x) * ((x \ z) * x)) = (x * (L(x,y,y) \ z)) \ (a(y,y,x) * z). R(x,y,R(z / u,u,z \ (w \ v5)) \ (w \ v5)) = R(x,y,u * (z \ ((w \ 1) \ v5))). R(x \ (y \ x),z,x \ (y \ x)) = R(x \ (y \ x),z,y). R(x,y,x \ (y \ x)) \ x = y * ((x * y) \ x). a(x,y,(z * (u * u)) \ w) = a(x,y,z \ ((u * u) \ w)). a(x,y,(z * (u \ (w * w))) * ((w * w) \ v5)) = a(x,y,v5 * (z * (u \ 1))). a(x,y,(z * ((u * u) \ w)) * v5) = a(x,y,(z * w) * ((u * u) \ v5)). a(x,y,L(z,u,w * (v5 * (v6 * v6)))) = a(x,y,L(z,u,w * v5)). a(x,y,L(z,u,L(w * (v5 * v5),v6,v7))) = a(x,y,L(z,u,L(w,v6,v7))). a(x,y,L(L(z,u,w \ 1),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)). a(x,y,L(z,u,(w \ 1) * v5)) = a(x,y,L(z,u,v5 * w)). a(x,y,L(L(z * K(u,w),v5,v6),v7,v8 \ v9)) = a(x,y,L(L(z,v7,(v8 \ K(v10,v11)) \ v9),v5,v6)). a(x,y,((z * (u * (w \ (1 / w)))) \ v5) * (w \ (1 / w))) = a(x,y,(z * u) \ v5). a(x,y,L(z,u * u,w)) = a(x,y,z). a(x,y,L(z,u,(u * z) \ 1)) = a(x,y,u * (w * (((u * z) \ 1) / w))). L(x \ ((y \ K(y * x,y \ 1)) \ x),z,u) = x \ ((x / (y \ 1)) * (y \ L(y,z,u))). x / (a(y,z,u) * x) = x \ (a(y,z,u) \ x). (x \ (a(y,z,u) \ x)) \ x = x * a(y,z,u). x * L(a(y,z,u) \ 1,a(y,z,u),x) = a(y,z,u) \ x. L(x \ (a(y,z,u) \ x),x * a(y,z,u),w) = (w * (x * a(y,z,u))) \ (w * x). ((x * (y \ x)) / x) \ y = y * (((x / y) * y) \ y). a(L(x \ 1,x,y),z,u) = a(y \ (x \ y),z,u). ((x \ y) / L(x \ 1,z,u)) \ ((L(x,z,u) \ y) * x) = a(L(x,z,u) \ y,x,x). (x \ 1) * (x * (L(x,y,z) \ u)) = L(x,y,z) \ L(u,x \ 1,x). L(x,x,x \ y) = (y * (x \ 1)) \ y. L(x,y,L(z,z,z \ u)) = L(x,y,L(z,z,u)). L(R(T(1 / x,y),x,x \ y),z,x) = y \ (1 * (R(x,z,x) \ y)). a(x,y,(z * u) * (w \ (w \ 1))) = a(x,y,u * z). a(x,y,z / (u * u)) = a(x,y,z). (x * (L(x,y,z) \ ((x \ 1) * u))) * L((x \ 1) \ 1,y,z) = ((1 / x) * u) * x. R(x,y,z \ (u \ L(L(u,w,v5),v6,v7))) = R(x,y,z \ (u * L(L(u,w,v5),v6,v7))). R(x,y,((z \ 1) \ u) \ (z * u)) = R(x,y,(z * u) * (u / (z \ 1))). (x * L(x \ K(y,z),u,w)) * v5 = K(y,z) * (v5 * (x \ L(x,u,w))). T(x / y,y \ 1) * L(((y \ 1) \ (x / (y * y))) \ z,u,w) = ((y \ 1) \ x) * L(((y \ 1) \ x) \ z,u,w). ((x * y) / (z * z)) \ L(x * (y / (z * z)),u,w) = (x * y) \ L(x * y,u,w). (((x * x) \ y) \ z) \ L(((x * x) \ y) \ z,u,w) = (((y \ z) * (x * x)) \ L(y \ z,u,w)) * (x * x). (x \ L(y,z,u)) \ L(y,z,u) = (x \ y) \ y. (x \ (y \ L(y,z,u))) * (x * x) = (y / x) \ L(y,z,u). (((x \ y) \ y) \ z) * ((x \ y) \ y) = (T(x,y) \ z) * T(x,y). L(x,y,(z \ (z \ 1)) \ ((1 / z) * u)) = L(x,y,L(u / (z \ 1),z,z)). x \ L(x,y,y \ L(y,z,u)) = a(x,y \ L(y,z,u),y). R(T((x * y) \ (x * L(y,z,u)),((x * y) \ (x * L(y,z,u))) * w),w,(x * y) \ (x * L(y,z,u))) = (y * x) \ (L(y,z,u) * x). R(x,y,y * L(y,z,u)) = L(x,y,y \ L(y,z,u)). L(x \ L(x,y,y \ L(y,z,u)),x,L(y,z,u)) = a(x,y,y \ L(y,z,u)). (x * (y \ 1)) \ (L(x,z,u) * (y \ 1)) = (L(x,z,u) * y) / (x * y). ((x * y) * y) \ (x * (y * y)) = x / R(x,y,y). (x * y) / ((x * z) * (z \ y)) = ((x * z) * (z \ y)) \ (x * y). (x * (y * z)) / ((x * z) * T(y,z)) = ((x * z) * T(y,z)) \ (x * (y * z)). (x * ((y * x) \ y)) \ T(x,y) = 1 / ((x * y) \ y). ((x \ y) * (x * (x \ z))) / (((x \ y) * x) * (x \ z)) = ((y / x) * z) / (y * (x \ z)). L(x,L(y,z,u),x) = L(x,y,x). x * L(y \ L(y,z,u),y,x) = L(y,z,u) * (y \ x). L(x \ 1,y,z) \ (L(x \ 1,u,w) * v5) = L(x,y,z) \ (L(x,u,w) * v5). (x * (y \ L(y,z,u))) * y = (y \ L(y,z,u)) * (x * y). ((x \ L(x,y,z)) * u) * x = (x \ L(x,y,z)) * (u * x). (x \ L(x,y,z)) \ (u * x) = ((x \ L(x,y,z)) \ u) * x. L(R(x,y,z),u,L(x,w,v5)) \ v6 = (R(x,y,z) \ v6) * a(x,u,x). L((x \ y) \ 1,y,y \ x) * y = y * T((x \ y) \ 1,x). L(x \ L(x,y,z),u,L(x,w,v5)) = x \ L(x,y,z). (x \ K(y,z)) * (L(K(z,y) * x,u,w) \ (K(z,y) * x)) = L(x,u,w) \ (K(y,z) * 1). (x * (L(x,y,z) \ u)) * L(L(x,y,z),w,v5) = x * (L(x,y,z) \ (u * L(L(x,y,z),w,v5))). L(x,y,L(z \ L(z,u,w),z,u * w)) = L(x,y,a(z,u,w)). L(x,y,(z * u) \ L(z * u,u,z)) = L(x,y,a(z * u,u,z)). K(x,a(y,z,u) \ w) * R(a(y,z,u) \ K(w,x),w,x) = L(a(y,z,u) \ 1,w,x). R(x,y,z * (u \ ((w \ 1) \ v5))) = R(x,y,z * (u \ (w \ v5))). L(x,y,R(z \ (u \ z),w,u)) = L(x,y,z \ (u \ z)). a(x,y,R(z \ (u \ z),w,u)) = a(x,y,z \ (u \ z)). L(x,R(y \ (z \ y),u,z),w) = L(x,y \ (z \ y),w). a(x,y,(((z * z) \ u) * w) * v5) = a(x,y,(w * u) * ((z * z) \ v5)). a(x,y,L(z,u,w * ((v5 * v5) \ v6))) = a(x,y,L(z,u,w * v6)). a(x,y,L(z,u,L(w \ 1,v5,v6))) = a(x,y,L(z,u,L(w,v5,v6))). a(x,y,L(L(z,u,(w \ K(v5,v6)) \ v7),v8,v9)) = a(x,y,L(L(z,u,w \ v7),v8,v9)). a(x,y,(z * (u * (w \ (1 / w)))) \ v5) = a(x,y,(z * u) \ v5). a(x,y,L(z,u,(u * z) \ 1)) = a(x,y,u * ((u * z) \ 1)). ((x \ y) * x) \ L((x \ y) * x,z,u) = y \ L(y,z,u). x \ ((x / (y \ 1)) * (y \ L(y,z,u))) = L(x \ (x / (y \ 1)),z,u). ((x * (y \ x)) / x) \ y = y * (x \ y). L(x,y,y \ 1) \ L(K(y,y \ 1),x \ 1,x) = (x \ 1) * (x * (((y \ 1) * (y * x)) \ 1)). L(T(x,x \ 1),x \ 1,y) = L(x,x,x \ y). L(x * y,x * y,L(y \ 1,y,x)) = (x * ((x * y) \ 1)) \ x. a(x,y,(L(z,z,z \ u) * u) \ w) = a(x,y,(u * (((z \ 1) * u) \ u)) \ w). x \ (1 * (R(y,z,y) \ x)) = L(x \ (y \ x),z,y). a(x,y,(z * u) / (w * w)) = a(x,y,u * z). a(x,y,z * ((u * u) \ w)) = a(x,y,w * z). a(x,y,(z * z) \ u) = a(x,y,u). a(x,y,(z * z) * u) = a(x,y,u). a(x,y,z * (u * u)) = a(x,y,z). a(x,y,z \ (u \ 1)) = a(x,y,z \ u). a(x,y,L(z / (u * u),w,v5)) = a(x,y,L(z,w,v5)). a(x,y,(z * u) * (u \ z)) = a(x,y,a(z,u,u \ z)). a(x,y,z \ R(z,u,w)) = a(x,y,z * R(z,u,w)). (L(x,y,z) \ L(u,x \ 1,x)) * L((x \ 1) \ 1,y,z) = ((1 / x) * u) * x. R(x,y,z \ (L(L(u,w,v5),v6,v7) \ u)) = R(x,y,z \ (u \ L(L(u,w,v5),v6,v7))). R(x,y,((z \ 1) \ u) \ (z * u)) = R(x,y,(z * u) * ((z \ 1) \ u)). x * (y * L(y \ T(z,x),u,w)) = (y * L(y \ z,u,w)) * x. T(x,y) * L(T(x,y) \ T(z,u),w,v5) = T(x * L(x \ z,w,v5),u). x * (y * L(y \ (x \ (z * x)),u,w)) = (y * L(y \ z,u,w)) * x. (x * y) * L((x * y) \ (z * x),u,w) = (y * L(y \ z,u,w)) * x. ((x * (y * z)) / z) / (x * y) = (x * y) \ ((x * (y * z)) / z). T(x / y,y \ 1) * L(T(x / y,y \ 1) \ z,u,w) = ((y \ 1) \ x) * L(((y \ 1) \ x) \ z,u,w). (x * (y / (z * z))) \ L(x * (y / (z * z)),u,w) = (x * y) \ L(x * y,u,w). ((L(x,y,z) / u) \ x) \ x = u \ L(x,y,z). x * K((y \ (z \ u)) * x,(u \ z) * y) = (((z \ u) \ y) \ x) * ((z \ u) \ y). L(x,y,(z \ (z \ 1)) \ ((1 / z) * u)) = L(x,y,L((z \ 1) \ u,z,z)). ((x \ y) * z) / (((x \ y) * x) * (x \ z)) = ((y / x) * z) / (y * (x \ z)). (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 * L(y \ L(y,z,u),y,x) = (x / y) * L(y,z,u). L(x \ L(x,y,z),x,u) = u \ (L(x,y,z) * (x \ u)). L(x \ L(x,y,z),x,z * y) = (z * y) \ ((z * (y * x)) / x). L((x \ y) \ L(x \ y,z,u),x \ y,y) = y \ (x * L(x \ y,z,u)). L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). (x \ 1) * T((x \ L(x,y,z)) * (u * x),x \ 1) = R(u * (x \ L(x,y,z)),x,x). L(x,y,x \ L(x,z,u)) = x. (x \ L(x,y,z)) * ((L(x \ L(x,y,z),u,w) \ 1) * x) = (L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z))) * x. (x * ((x * y) \ y)) \ x = 1 / ((x * y) \ y). L(x,y,R(x,z,u) \ L(R(x,z,u),w,v5)) = x. L(L(x,y,z),u,x \ L(x,w,v5)) = L(x,y,z). L(L(L(x,y,z),u,w),v5,x \ L(x,v6,v7)) = L(L(x,y,z),u,w). x \ L(L(x,y,z),u,x \ L(x,w,v5)) = L(x \ L(x,y,z),u,x \ L(x,w,v5)). ((x \ L(x,y,z)) * (u * x)) * a(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) * (u * R(x,x \ L(x,y,z),u)). (x \ K(y,z)) * (L(x,u,w) \ (K(y,z) * (K(z,y) * x))) = L(x,u,w) \ (K(y,z) * 1). (R(x,y,z) \ u) * a(x,w,x) = L(R(x,y,z),w,x) \ u. L(((x * y) \ y) \ 1,y,y \ (x * y)) = T(((y * x) \ y) \ 1,x * y). L(L(x \ L(x,y,z),u,w),v5,L(x,v6,v7)) = L(x \ L(x,y,z),u,w). L(x,y,z) * (T(u,x) * T(x \ L(x,w,v5),u * L(x,y,z))) = (x \ L(x,w,v5)) * (u * L(x,y,z)). R(x,y,z * ((u * w) \ w)) = R(x,y,z * (w \ (u \ w))). a(x,y,(z * u) * ((u * u) \ w)) = a(x,y,((u \ 1) * z) * w). a(x,y,L(z,u,w * (v5 * ((v6 * v6) \ v7)))) = a(x,y,L(z,u,w * (v5 * v7))). a(x,y,L(L(z,u,(w \ 1) \ v5),v6,v7)) = a(x,y,L(L(z,u,w \ v5),v6,v7)). a(x,y,(z * L(1 / u,w,v5)) \ v6) = a(x,y,(z * L(u,w,v5)) \ v6). a(x,y,L(z,u,u * z)) = a(x,y,u * ((u * z) \ 1)). (x \ L(x,y,z)) \ (u * L(x,w,v5)) = ((x \ L(x,y,z)) \ u) * L(x,w,v5). (x \ L(x,y,z)) \ L(L(x,u,w),v5,v6) = x * (L(x,y,z) \ L(L(x,u,w),v5,v6)). (x \ L(x,y,z)) * (u * R(x,x \ L(x,y,z),u)) = u * L(x,y,z). L(x \ L(x,y,z),u,x \ L(x,w,v5)) = 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). (L(x \ L(x,y,z),u,w) \ v5) * (L(x,y,z) * L(x \ 1,y,z)) = L((x \ L(x,y,z)) \ 1,u,w) \ v5. L((x / y) * z,u,w) \ ((x / y) * z) = L((y \ x) * z,u,w) \ ((y \ x) * z). L(x,y,y \ 1) \ K(y,y \ 1) = (x \ 1) * (x * (((y \ 1) * (y * x)) \ 1)). x \ (R(y,z,y) \ x) = L(x \ (y \ x),z,y). a(x,y,z * ((u * u) \ w)) = a(x,y,z * w). a(x,y,z * (u / (w * w))) = a(x,y,u * z). a(x,y,(((z * z) \ u) * w) * v5) = a(x,y,v5 * (w * u)). a(x,y,((z * z) \ u) * w) = a(x,y,w * u). a(x,y,((z * z) \ u) * w) = a(x,y,u * w). a(x,y,z * (u * (w \ (v5 * v5)))) = a(x,y,z * (u * (w \ 1))). a(x,y,z * L(u \ w,u,u)) = a(x,y,z * (u * w)). a(x,y,z * ((u * w) * (w \ u))) = a(x,y,z * a(u,w,w \ u)). a(x,y,z * (u \ (w * w))) = a(x,y,z * (u \ 1)). a(x,y,z * (z * u)) = a(x,y,L(u,z,z)). a(x,y,L(z \ u,z,z)) = a(x,y,z * u). a(x,y,z * (u \ ((w * w) \ v5))) = a(x,y,(u \ v5) * z). a(x,y,z * (u * ((w * w) \ v5))) = a(x,y,(u * v5) * z). a(x,y,((z * u) * z) * w) = a(x,y,L(u,z,z) * w). a(x,y,z * (u \ (w \ 1))) = a(x,y,(u \ w) * z). a(x,y,z * (u * (w / (v5 * v5)))) = a(x,y,(u * w) * z). a(x,y,(z * (z * u)) * w) = a(x,y,w * L(u,z,z)). a(x,y,z \ L(u,z,z)) = a(x,y,u * z). a(x,y,z * L((u * u) \ w,v5,v6)) = a(x,y,L(w,v5,v6) * z). a(x,y,R(z,z,u) \ u) = a(x,y,u * z). a((a(x,y,z) * a(x,y,z)) \ u,w,v5) = a(u,w,v5). a(x,(a(y,z,u) * a(y,z,u)) \ w,v5) = a(x,w,v5). a(x,y,z \ ((u / w) * (u / w))) = a(x,y,z). a(x,y,z * (u * z)) = a(x,y,L(u,z,z)). a(x,y,(z * u) * u) = a(x,y,L(z,u,u)). a(x,y,L((z * z) \ u,w,v5)) = a(x,y,L(u,w,v5)). a(x,y,(z * (u * (w * w))) * v5) = a(x,y,(z * u) * v5). a(x,y,((z * (u * u)) * w) * v5) = a(x,y,(w * z) * v5). a(x,y,(z * (u * u)) * w) = a(x,y,z * w). a(x,y,((z * z) * u) * w) = a(x,y,u * w). a(x,y,z \ ((u * u) * w)) = a(x,y,z \ w). a(x,y,z \ (u * (w * w))) = a(x,y,z \ u). a(x,y,z * ((u * u) * w)) = a(x,y,w * z). a(x,y,(z \ 1) \ u) = a(x,y,z \ u). a(x,y,z * ((u * w) * (w * u))) = a(x,y,z). a(x,y,z * (u * (w * w))) = a(x,y,u * z). a(x,y,L((z * z) * u,w,v5)) = a(x,y,L(u,w,v5)). a(x,y,z \ L(z,u,w)) = a(x,y,z * L(z,u,w)). a(x,y,((z * z) \ u) \ w) = a(x,y,u \ w). a(x,y,z \ ((u / (w * w)) \ v5)) = a(x,y,z \ (u \ v5)). a(x,y,z \ (u \ L((w * w) * v5,v6,v7))) = a(x,y,z \ (u \ L(v5,v6,v7))). a(x,y,z \ (u \ ((w * (v5 * v5)) * v6))) = a(x,y,z \ (u \ (v6 * 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). a(x,y,z \ (u \ (w * (v5 / (v6 \ 1))))) = a(x,y,z \ (u \ (w * (v6 \ v5)))). a(x,y,z \ (u \ (w / (v5 \ 1)))) = a(x,y,z \ (u \ (v5 \ w))). a(x,y,L(z * (u * u),w,v5)) = a(x,y,L(z,w,v5)). a(x,y,z \ L(u \ 1,w,v5)) = a(x,y,z \ L(u,w,v5)). L(L(x * (y * y),z,u),w,a(v5,v6,x)) = L(x * (y * y),z,u). a(x,y,z \ (L(u,w,v5) \ u)) = a(x,y,z \ (u \ L(u,w,v5))). a(x,y,z * R(z,u,u)) = a(x,y,a(z,u,u)). a(x,y,L(z \ (u / (w * w)),v5,v6)) = a(x,y,L(z \ u,v5,v6)). a(x,y,L(z \ (u \ 1),w,v5)) = a(x,y,L(z \ u,w,v5)). a(x,y,L(z * (u \ 1),w,v5)) = a(x,y,L(z * u,w,v5)). a(x,y,L(L(z \ 1,u,w),v5,v6)) = a(x,y,L(L(z,u,w),v5,v6)). a(x,y,L((a(z,u,w) \ 1) \ v5,v6,v7)) = a(x,y,L(a(z,u,w) \ v5,v6,v7)). 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 \ K(u,w)) * v5) = a(x,y,z * v5). a(x,y,(z \ 1) * u) = a(x,y,z * u). x \ R(x,y * (z \ 1),y * z) = a(x,y * (z \ 1),z * y). a(x,y,(z \ (u \ w)) \ ((u * z) \ w)) = a(x,y,(z \ (u \ w)) * ((u * z) \ w)). R(x,y,z \ (u * L(L(u \ 1,w,v5),v6,v7))) = R(x,y,z \ (L(L(u,w,v5),v6,v7) \ u)). R(x,y,(y * x) \ ((x * (y * z)) / z)) \ ((x * (y * z)) / z) = y * (((x * (y * z)) / z) / (x * y)). ((x \ 1) \ y) * L(((x \ 1) \ y) \ z,u,w) = (y / x) * L((y / x) \ z,u,w). L(x \ (y * L(y \ x,z,u)),x,x) = (x * y) \ L(x * y,z,u). L(x,y,(z \ (z \ 1)) \ ((z \ 1) * u)) = L(x,y,L((z \ 1) \ u,z,z)). (x * ((x \ (x * y)) * (a(z,u,w) \ 1))) / (T(x,y) * (a(z,u,w) \ 1)) = R(y,a(z,u,w) \ 1,x). R((x * y) \ (L(x,z,u) * y),w,(y * x) \ (y * L(x,z,u))) = (x * y) \ (L(x,z,u) * y). (x * (y \ 1)) \ (L(x,z,u) * (y \ 1)) = (x * y) \ (L(x,z,u) * y). ((x * y) * y) \ (x * (y * y)) = R(x,y,y) \ x. (((x \ y) * x) * (x \ z)) \ ((x \ y) * z) = ((y / x) * z) / (y * (x \ z)). ((x * x) * (x \ y)) \ (x * y) = (x \ y) \ L(x \ y,x,x). a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,(z * v5) \ v6). a(x,y,(z * (K(u,w) * v5)) * v6) = a(x,y,(z * v5) * v6). a(x * (K(y,z) * u),w,v5) = a(u * x,w,v5). a(x * ((y / z) \ u),w,v5) = a(x * ((z \ y) \ u),w,v5). ((x \ 1) * (y * x)) \ L((x \ 1) * (y * x),z,u) = L(y \ L(y,z,u),x,x \ 1). (T(x,y) \ (z \ u)) \ L(T(x,y) \ (z \ u),x,z) = (((z * x) \ u) \ (x \ (z \ u))) \ 1. (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. x * L(x \ 1,y,y) = a(y,y,x) \ 1. L(x,y,z) \ L(L(x,u,u),y,z) = a(u,u,L(x,y,z)) \ 1. L(x * L(x \ 1,y,y),z,u) = a(y,y,L(x,z,u)) \ 1. a(x,y,z) \ (a(u,u,z) \ 1) = z \ (a(x,y,z) \ L(z,u,u)). x \ (a(y,y,x) \ 1) = L(x \ 1,y,y). (a(x,x,y) \ 1) \ z = (y \ L(y,x,x)) \ z. R(x,a(y,y,x) \ 1,z) \ (L(x,y,y) * z) = (x \ L(x,y,y)) * z. x * (a(y,y,z) \ (z \ L(z,y,y))) = x / (a(y,y,z) * a(y,y,z)). L(a(x,x,y) \ 1,y,y \ z) = z \ ((z / y) * L(y,x,x)). L(x,y,z \ L(z,u,u)) = L(x,y,a(u,u,z)). (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z))) = L(L(x,y,z) \ x,u,w) \ 1. a(x,x,y \ L(y,z,u)) * (y \ L(y,z,u)) = L(L(y,z,u) \ y,x,x) \ 1. a(x,y,z * a(u,u,z)) = a(x,y,L(z,u,u)). a(x,y,a(z,z,u) * u) = a(x,y,L(u,z,z)). L(a(x,x,y) \ 1,y,y \ z) * ((a(x,x,y) \ 1) \ z) = ((z / y) * L(y,x,x)) / (a(x,x,y) \ 1). L(x,a(y,y,z) \ 1,u) = L(x,z \ L(z,y,y),u). L(x,y,z) * (x * (L(x,y,z) \ (u * L(L(x,y,z),w,v5)))) = L(L(x,y,z),w,v5) * (u * x). a(x,y,L(z \ (u \ z),w,u)) = a(x,y,z \ (u \ z)). L(x,y,L(z \ (u \ z),w,u)) = L(x,y,z \ (u \ z)). L(x \ L(x,y,z),x,u) \ w = (u \ ((u / x) * L(x,y,z))) \ w. T(L(x \ L(x,y,z),x,L(x,y,z) * u),w) = L(T(u \ (x \ (L(x,y,z) * u)),w),u,L(x,y,z)). x \ (L(y,z,z) * (y \ x)) = L(a(z,z,y) \ 1,y,x). L(x \ L(x,y,a(z,u,w)),x,a(z,u,w) * y) = (y * a(z,u,w)) \ ((a(z,u,w) * (y * x)) / x). ((x * y) \ ((x * (y * z)) / z)) \ L(z \ L(z,y,x),z,x * y) = 1. L(x \ L(x,y,z),x,y * z) = (z * y) \ ((z * (y * x)) / x). (a(x,y,z) * u) \ ((a(x,y,z) * (u * w)) / w) = a(w,u,a(x,y,z)). (x * y) \ ((x * (y * (y \ z))) / (y \ z)) = ((x * y) * (y \ z)) \ (x * z). ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). L(L(x \ L(x,y,z),u,w),x,z * y) = L((z * y) \ ((z * (y * x)) / x),u,w). L(x \ (y * L(y \ x,z,u)),x \ y,u * z) = (u * z) \ ((u * (z * (x \ y))) / (x \ y)). L(x,y,L(z \ L(z,u,w),z,w * u)) = L(x,y,(w * u) \ (z \ (w * (u * z)))). L((x * y) \ ((x * (y * z)) / z),u,z) = L(z \ L(z,y,x),z,x * y). a(x,y,L(z \ L(z,u,w),z,w * u)) = a(x,y,(w * u) \ (z \ (w * (u * z)))). L(K(x,y) * (z \ L(z,u,w)),z,w * u) = K(x,y) * ((w * u) \ ((w * (u * z)) / z)). L(x \ L(x,y,z),x,x \ u) = L(x \ L(x,y,z),x,u). L(x \ L(x,y,z),x,x * u) = L(x \ L(x,y,z),x,u). (x * y) \ (L(x,z,u) * y) = y \ ((y / x) * L(x,z,u)). K(x,x \ y) \ ((K(x,x \ y) / ((x \ y) / z)) * L((x \ y) / z,u,w)) = ((y / x) / z) \ (K(x,x \ y) * L((x \ y) / z,u,w)). x \ ((x / (x \ y)) * L(x \ y,z,u)) = y \ (x * L(x \ y,z,u)). (x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). L((x \ ((x / y) * L(y,z,u))) \ (L(y \ L(y,z,u),y,x) \ (y \ L(y,z,u))),y,x) = L(y \ L(y,z,u),y,x) \ 1. (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,y,z))) = x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)). (x \ L(x,y,z)) * ((L(x \ L(x,y,z),u,w) \ 1) * x) = (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) * x. T((x * (x * ((x * y) \ y))) / x,1 / ((x * y) \ y)) = ((x * ((x * y) \ y)) \ x) \ T(x,x * ((x * y) \ y)). L((R(x,y,z) \ (u * x)) \ (u * x),w,v5) * (R(x,y,z) \ (u * x)) = L(R(x,y,z),w,v5) * (R(x,y,z) \ (x * u)). L(R((x \ (y * x)) \ (y * x),z,u),w,v5) * (R(x,z,u) \ (y * x)) = L(R(x,z,u),w,v5) * (R(x,z,u) \ (x * y)). L(R(T(x,y),z,u),w,v5) * (R(x,z,u) \ (y * x)) = L(R(x,z,u),w,v5) * (R(x,z,u) \ (x * y)). (x \ K(y,z)) * (L(x,u,w) \ x) = L(x,u,w) \ (K(y,z) * 1). R(x,y,z) * (L(R(x,y,z),u,x) \ w) = w * a(x,u,x). T(((x * y) \ x) \ 1,y * x) = L(((y * x) \ x) \ 1,x,y). L(x \ (L(y,z,u) * (y \ x)),w,L(y,v5,v6)) = L(y \ L(y,z,u),y,x). L(x,y,z) * (T(u,x) * (x \ L(x,w,v5))) = (x \ L(x,w,v5)) * (u * L(x,y,z)). a(x,y,((z \ 1) * u) * w) = a(x,y,w * (u * z)). ((x \ L(x,y,z)) \ (L(x,u,w) \ v5)) * L(x,u,w) = (x \ L(x,y,z)) \ ((x \ v5) * x). a(x,y,(z * L(u \ 1,w,v5)) \ v6) = a(x,y,(z * L(u,w,v5)) \ v6). a(x,y,L(z,u,u * z)) = a(x,y,(u * z) * u). x / ((y * z) \ ((y * (z * u)) / u)) = ((y * z) \ ((y * (z * u)) / u)) \ x. a(x,y,L(z \ L(z,u,u),w,v5)) = a(x,y,a(u,u,L(z,w,v5))). L(a(x,x,y) \ 1,z,u) \ 1 = a(x,x,L(y,z,u)). L(L(x,y,z) \ x,u,w) * ((L(x,y,z) \ x) \ v5) = ((x \ L(x,y,z)) \ v5) * L(x \ L(x,y,z),u,w). L((1 / x) * y,z,u) \ ((1 / x) * y) = L(y * x,z,u) \ (y * x). L(T(x,x \ 1),x \ 1,y * x) = L(x,x,y). (x \ 1) * L(x,x,x \ y) = x \ L(x,x \ 1,y). L(x,y,L(z,z \ 1,u)) = L(x,y,L(z,z,z \ u)). a(x,y,L(z * u,z * u,L(u,u,z))) = a(x,y,(z * ((z * u) \ 1)) \ z). a(x,y,((z \ u) * (z * z)) \ w) = a(x,y,(u * (((z \ 1) * u) \ u)) \ w). (x \ 1) * (x * (((y \ 1) * (y * x)) \ 1)) = ((y \ 1) * (y * x)) \ 1. a(x,y,x) \ (z \ (x \ z)) = L(z \ (x \ z),y,x). a(x,y,(z * (u \ (w * w))) * v5) = a(x,y,v5 * (z * (u \ 1))). a(x,y,z * (u * (w * u))) = a(x,y,z * R(w,u,u)). a(x,y,R(z,z,u) * u) = a(x,y,z \ u). a(x,y,z * (u * ((w * w) \ v5))) = a(x,y,z * (u * v5)). a(x,y,z * (L(u,w,v5) \ u)) = a(x,y,z * (u * L(u,w,v5))). a(x,y,z * (u * (w \ 1))) = a(x,y,(u * w) * z). a(x,y,z * L(u \ 1,w,v5)) = a(x,y,L(u,w,v5) * z). a(x,y,z * ((u * w) * w)) = a(x,y,R(u,w,w) * z). a(x,y,(z \ ((u * u) \ w)) * v5) = a(x,y,v5 * (z \ w)). a(x,y,(z \ (u \ 1)) * w) = a(x,y,w * (z \ u)). a(x,y,(L(z,u,w) \ z) * v5) = a(x,y,(z * L(z,u,w)) * v5). a(x,y,z * (u * (w \ 1))) = a(x,y,z * (u * w)). a(x,y,z * (u \ (w * w))) = a(x,y,u * z). a(x,y,L(z * (z * u),w,v5)) = a(x,y,L(L(u,w,v5),z,z)). a(x,y,L((z / u) * L(u,w,v5),u,u)) = a(x,y,u * (L(u,w,v5) * z)). a(x,y,x * L(x,z,u)) = 1. L(L(x \ y,z,u),w,a(v5,v6,x * y)) = L(x \ y,z,u). a(x \ y,z,a(u,w,x * y)) = 1. a(x,y,z * ((u * (w * w)) \ v5)) = a(x,y,(u \ v5) * z). a(x,y,z * (u \ (w * (v5 \ 1)))) = a(x,y,(u \ (w * v5)) * z). a(x,y,z * (u * (w \ (v5 \ 1)))) = a(x,y,(u * (w \ v5)) * z). a(x,y,z * (u * (w * (v5 \ 1)))) = a(x,y,(u * (w * v5)) * z). a(x,y,(z * (u * w)) * (v5 \ (v6 \ 1))) = a(x,y,(v5 \ v6) * ((w * u) * z)). a(x,y,z * ((u / (w * w)) * v5)) = a(x,y,(v5 * u) * z). a(x,y,z * (u * (w * u))) = a(x,y,z * L(w,u,u)). a(x,y,R(z,z,u * w) \ (w * u)) = a(x,y,(u * w) * z). a(x,y,L((z * z) * u,w,v5) * v6) = a(x,y,v6 * L(u,w,v5)). a(x,y,z \ ((u \ w) * (u \ w))) = a(x,y,z). a(x,y,(z * (u * w)) * (w * u)) = a(x,y,L(z,u * w,u * w)). a(x,y,L(L(z,u,w) \ z,v5,v6)) = a(x,y,L(z * L(z,u,w),v5,v6)). a(x,y,z * (((u * u) * w) * v5)) = a(x,y,(v5 * w) * z). a(x,y,z * ((u * (w * w)) * v5)) = a(x,y,(v5 * u) * z). a(x,y,(z * L(u * (w * w),v5,v6)) * v7) = a(x,y,(z * L(u,v5,v6)) * v7). a(x,y,(z * (u \ (w \ 1))) * v5) = a(x,y,((u \ w) * z) * v5). a(x,y,(((z * z) \ u) \ w) * v5) = a(x,y,(u \ w) * v5). a(x,y,(z \ ((u / (w * w)) \ v5)) * v6) = a(x,y,(z \ (u \ v5)) * v6). a(x,y,((z \ (u \ 1)) \ w) * v5) = a(x,y,((z \ u) \ w) * v5). a(x,y,((z \ 1) \ u) * w) = a(x,y,(z \ u) * w). a(x,y,z * (u \ ((w * w) * v5))) = a(x,y,(u \ v5) * z). a(x,y,(1 / z) * u) = a(x,y,z * u). a(x,y,L(z,z,u) * w) = a(x,y,((u * z) \ u) * w). a(x,y,(z \ (u \ (w \ 1))) * v5) = a(x,y,(z \ (u \ w)) * v5). a(x,y,(z \ (u * L(u \ (w * w),v5,v6))) * v7) = a(x,y,(z \ (u \ L(u,v5,v6))) * v7). a(x,y,z * ((u / (w \ 1)) / u)) = a(x,y,((w * u) \ u) * z). a(x,y,z \ ((u * (w * w)) * v5)) = a(x,y,z \ (v5 * u)). a(x,y,z \ (u \ ((w \ 1) \ u))) = a(x,y,z \ ((w * u) \ u)). a(x,y,z \ (u * T(w / (v5 \ 1),v5))) = a(x,y,z \ (u * (v5 \ w))). a(x,y,z \ ((u * u) \ w)) = a(x,y,z \ w). a(x,y,z \ (u * (u * w))) = a(x,y,z \ L(w,u,u)). a(x,y,(z / (u * u)) \ w) = a(x,y,z \ w). a(x,y,z \ (u \ (w \ (v5 \ 1)))) = a(x,y,z \ (u \ (w \ v5))). a(x,y,L(z,z,u) * u) = a(x,y,z \ u). a(x,y,(1 / z) \ u) = a(x,y,z \ u). x \ R(x,(y \ 1) \ z,(y \ 1) \ z) = a(x,(y \ 1) \ z,y \ z). R(x,(y \ 1) \ z,(y \ 1) \ z) = a(x,(y \ 1) \ z,y \ z) * x. a(x,y,(z \ ((u * u) * w)) * v5) = a(x,y,(z \ w) * v5). a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,L(z * L(z,u,w),v5,v6)). L(x \ L(x,y,y \ L(y,z,u)),x,L(y,z,u)) = a(x,y,y * L(y,z,u)). x * a(x,y \ L(y,z,u),y * L(y,z,u)) = R(x,y \ L(y,z,u),y * L(y,z,u)). a(x,x \ 1,y * L(y,z,u)) \ (y \ L(y,z,u)) = L(y \ L(y,z,u),x \ 1,x). 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)). a(x,y,(z \ u) * L(z \ u,z,z \ 1)) = a(x,y,(z \ u) \ ((1 / z) * u)). a(x,y,(z \ u) \ L(z \ u,w,v5)) = a(x,y,(u / z) * L(u / z,w,v5)). (x \ L(x,y,z)) \ a(u,w,x * L(x,y,z)) = x * (L(x,y,z) \ a(u,w,x \ L(x,y,z))). a(x,x,y * L(y,z,u)) \ (y \ L(y,z,u)) = L(y \ L(y,z,u),x,x). a(x,y,((z \ 1) * (u / z)) \ w) = a(x,y,u \ w). a(x,y,(z * (u * z)) \ w) = a(x,y,L(u,z,z) \ w). a(x,y,((z * z) * u) \ w) = a(x,y,u \ w). a(x,y,(z * (z * u)) \ w) = a(x,y,L(u,z,z) \ 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)). a(x,y,z \ ((u \ (w / (v5 * v5))) \ v6)) = a(x,y,z \ ((u \ w) \ v6)). a(x,y,z \ (u \ (w * (w * v5)))) = a(x,y,z \ (u \ L(v5,w,w))). a(x,y,z \ (u \ ((1 / w) * v5))) = a(x,y,z \ (u \ (v5 * w))). a(x,y,z \ (u \ L(w,u,u))) = a(x,y,z \ (u * w)). a(x,y,z \ (R(u,u,w) \ w)) = a(x,y,z \ (u * w)). 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 \ (w * (v5 \ 1)))) = a(x,y,z \ (u \ (w * v5))). a(x,y,z \ (u \ ((w \ 1) \ v5))) = a(x,y,z \ (u \ (w \ v5))). a(x,y,z \ (u \ (w \ a(w,v5,v6)))) = a(x,y,z \ (u \ (w * a(w,v5,v6)))). a(x,y,L(z \ (u / (w \ 1)),v5,v6)) = a(x,y,L(z \ (w \ u),v5,v6)). a(x,y,L(z * ((u * u) * w),v5,v6)) = a(x,y,L(z * w,v5,v6)). a(x,y,L((z / (u \ 1)) / z,w,v5)) = a(x,y,L((u * z) \ z,w,v5)). a(x,y,L(z \ (L(u,w,v5) \ (L(u,w,v5) \ u)),v6,v7)) = a(x,y,L(z \ u,v6,v7)). a(x,y,L(z * (u \ 1),w,v5)) = a(x,y,L(u * z,w,v5)). a(x,y,L((L(z \ 1,u,w) * ((z \ 1) \ v5)) * z,v6,v7)) = a(x,y,L(v5 * L(z \ 1,u,w),v6,v7)). a(x,y,L(z * R(z,u,u),w,v5)) = a(x,y,L(a(z,u,u),w,v5)). a(x,y,L(a(z,u,z) * L(w \ 1,v5,v6),v7,v8)) = a(x,y,L(L(w,v5,v6),v7,v8)). a(x,y,L((z \ L(z,u,u \ 1)) \ w,v5,v6)) = a(x,y,L(a(u \ 1,u,z) \ w,v5,v6)). a(x,y,L(z,u,w \ 1) * (u * (w \ 1))) = a(x,y,w * (u * z)). R(x,(y \ 1) * z,(y \ 1) * z) = x * a(x,(y \ 1) * z,y * z). a(x,y,T(z,u) * L(T(z,w),v5,v5 \ 1)) = a(x,y,a(v5 \ 1,v5,z)). a(x,x \ 1,y * L(y,z,u)) = a(x,x,y * L(y,z,u)). a(x \ L(x,y,z),u,L(x,y,z) \ x) = 1. R(x,y,z \ (L(L(z,u,w),v5,v6) \ z)) = R(x,y,L(L(z \ 1,u,w),v5,v6)). R(x,y,(y * x) \ (z \ (x * (y * z)))) \ ((x * (y * z)) / z) = y * (((x * (y * z)) / z) / (x * y)). ((x \ 1) \ y) * L(((x \ 1) \ y) \ z,u,w) = (x \ y) * L((x \ y) \ z,u,w). L(x \ (y * L(y \ x,z,u)),x,x) = (y * x) \ L(y * x,z,u). L(x,y,((z \ 1) * u) * (z * z)) = L(x,y,L((z \ 1) \ u,z,z)). a(x,x,L(y,z,u)) \ 1 = L(a(x,x,y) \ 1,z,u). ((a(x,x,y) \ 1) / y) * L(((a(x,x,y) \ 1) / y) \ z,u,w) = L(y \ 1,x,x) * L((y \ (a(x,x,y) \ 1)) \ z,u,w). x * (a(y,y,z) \ (z \ L(z,y,y))) = (a(y,y,z) * a(y,y,z)) \ x. L(a(x,x,y) \ 1,y,y \ z) = z \ (L(y,x,x) * (y \ z)). a(x,x,y * L(y,z,u)) * (y \ L(y,z,u)) = L(L(y,z,u) \ y,x,x) \ 1. x * ((L(y,z,u) * x) \ (y * x)) = y * (L(y,z,u) \ x). (L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)). L(L(x,y,z),u,w) * (v5 * x) = x * (v5 * L(L(x,y,z),u,w)). L(x,y,(z * u) \ u) = L(x,y,u \ (z \ u)). a(x,y,(z * u) \ u) = a(x,y,u \ (z \ u)). T(L(x \ L(x,y,z),x,L(x,y,z) * u),w) = L(T(u \ ((u / x) * L(x,y,z)),w),u,L(x,y,z)). (x * a(y,z,u)) \ ((a(y,z,u) * (x * w)) / w) = a(w,x,a(y,z,u)). a(x,y,L(z \ L(z,u,w),z,w * u)) = a(x,y,(w * u) \ ((w * (u * z)) / z)). ((x * y) * (y \ z)) \ (x * z) = (x * y) \ ((x * z) / (y \ z)). (x * (y / z)) \ ((x * ((y / z) * z)) / z) = ((x * (y / z)) * z) \ (x * y). (x * y) \ ((x * (y * T(z,y))) / T(z,y)) = ((x * y) * T(z,y)) \ (x * (z * y)). (x * y) \ ((x * (y * (z * K(x * y,z)))) / (z * K(x * y,z))) = (T(x * y,z) * z) \ (x * (y * (z * K(x * y,z)))). R(x,y,((z * u) * w) \ (z * (w * u))) = R(x,y,(z * u) \ ((z * (u * w)) / w)). a(x,y,((z * u) * w) \ ((u * w) * z)) = a(x,y,(z * u) \ ((z * (u * w)) / w)). L(x,y,(z * u) \ (w \ (z * (u * w)))) = L(x,y,a(w,u,z)). (x * (x \ y)) \ ((x * ((x \ y) * (x \ y))) / (x \ y)) = L((x \ y) * (y \ x),x \ y,x * (x \ y)). (x * (1 / ((y * z) \ ((y * (z * x)) / x)))) \ x = L(x \ L(x,z,y),x,y * z). L(x \ L(x,y,z),x,u * x) = L(x \ L(x,y,z),x,u). (x * (L(x,y,z) \ L(x \ L(x,y,z),x,u))) * (L(x,y,z) \ x) = L(x / L(x,y,z),x,x \ u). L((x * y) \ L(x * y,z,u),x * y,y) = y \ ((y / (y * x)) * L(y * x,z,u)). (x * x) \ (((x * x) / y) * L(y,z,u)) = ((y * (x * x)) \ L(y,z,u)) * (x * x). (L(x,y,z) * u) \ (L(L(x,w,v5),y,z) * u) = u \ ((u / L(x,y,z)) * L(L(x,y,z),w,v5)). K(x,x \ y) \ ((K(x,x \ y) / ((x \ y) / z)) * L((x \ y) / z,u,w)) = ((y / x) / z) \ L(K(x,x \ y) * ((x \ y) / z),u,w). L(x \ 1,x,y) \ L((y * x) \ y,z,u) = y \ ((y / x) * L(x,z,u)). K(x,y) * (x \ ((x / y) * L(y,z,u))) = (y * x) \ (x * L(y,z,u)). L((x * y) \ x,z,u) \ ((x * y) \ x) = (x \ ((x / y) * L(y,z,u))) \ 1. ((x * ((x * y) \ y)) \ x) \ T(x,x * ((x * y) \ y)) = T((x * (x * ((x * y) \ y))) / x,y \ (x * y)). K(x,T(y,z) * u) \ ((z \ y) * (z * u)) = 1 \ T((z \ y) * (z * u),x). (L(x,y,z) \ x) * (x \ K(u,w)) = L(x,y,z) \ (K(u,w) * 1). a(x,y,((1 / z) * u) * w) = a(x,y,w * (u * z)). a(x,y,(z * (u \ 1)) * w) = a(x,y,w * (z * u)). a(x,y,z * ((u \ 1) * w)) = a(x,y,z * (w * u)). a(x,y,(L(z \ 1,u,w) * v5) \ v6) = a(x,y,(v5 * L(z,u,w)) \ v6). a(x,y,L(z,u,u * z)) = a(x,y,L(z,u,u)). x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). ((x \ L(x,y,z)) * (u * (L(x,y,z) \ x))) * a(x \ L(x,y,z),u,L(x,y,z) \ x) = L(u,x \ L(x,y,z),L(x,y,z) \ x). R(x \ L(x,y,z),u,x * L(x,y,z)) \ L(u,x \ L(x,y,z),L(x,y,z) \ x) = u * T(L(x,y,z) \ x,(x \ L(x,y,z)) * u). a(x,y,L(a(z,z,u),w,v5)) = a(x,y,a(z,z,L(u,w,v5))). L(a(x,x,y),z,u) \ a(x,x,y) = a(x,x,y) \ a(x,x,L(y,z,u)). T(L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1),x) = L(x,u,w) * (L(L(x,u,w),y,z) \ L(x,y,z)). L((1 / x) * y,z,u) \ ((1 / x) * y) = ((y * x) \ L(y * x,z,u)) \ 1. (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) * x = (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ x). L(1 / (1 / x),x,x \ y) = L(x,x \ 1,y). x \ L(x,x \ 1,x * y) = (x \ 1) * L(x,x,y). L(x,y,L(z,z \ 1,u)) = L(x,y,L(z,z,u)). L((x * (((y \ 1) * (y * x)) \ 1)) \ z,x * (((y \ 1) * (y * x)) \ 1),x \ 1) = (((y \ 1) * (y * x)) \ 1) \ ((x \ 1) * z). (((x \ 1) * (x * y)) \ 1) \ R(y \ 1,y * (((x \ 1) * (x * y)) \ 1),y * (((x \ 1) * (x * y)) \ 1)) = (y * (((x \ 1) * (x * y)) \ 1)) \ 1. (L(x,y,x) * y) \ y = y \ (x \ y). a(x,y,z * (u * (z * u))) = a(x,y,a(z,u,u)). a(x,y,z * (u \ L(w,u,u))) = a(x,y,z * (u * w)). a(x,y,z * (u * ((L(w,v5,v6) * L(w \ 1,v5,v6)) \ v7))) = a(x,y,z * (u * v7)). a(x,y,(z * (u \ (w * w))) * v5) = a(x,y,(z * u) * v5). a(x,y,z * (u * (w \ K(v5,v6)))) = a(x,y,(u * w) * z). a(x,y,L(z \ 1,u,w) * v5) = a(x,y,L(z,u,w) * v5). a(x,y,L(z,z,u) * w) = a(x,y,w * ((u * z) \ u)). a(x,y,((z * (u * u)) \ w) * v5) = a(x,y,v5 * (z \ w)). a(x,y,(z * L(z,u \ 1,u)) * w) = a(x,y,a(u,u \ 1,z) * w). a(x,y,(z * L(z,u,u)) * w) = a(x,y,a(u,u,z) * w). a(x,y,z * (u * (L(u,w,v5) \ u))) = a(x,y,L(u,w,v5) * z). a(x,y,L((z \ u) * L(z,w,v5),z,z)) = a(x,y,z * (L(z,w,v5) * u)). a(x,y,L(L(z,u,w),z \ v5,z \ v5)) = a(x,y,L((z \ v5) * v5,u,w)). a(x,y,L(L(L(z \ u,w,v5),v6,v7),z,z)) = a(x,y,L(L(z * u,w,v5),v6,v7)). a(x,y,(z \ ((u \ 1) * w)) * v5) = a(x,y,(z \ (w * u)) * v5). a(x,y,(z \ (u * a(w,w,u))) * v5) = a(x,y,v5 * (z \ L(u,w,w))). a(x,y,z * ((u \ (w \ 1)) * v5)) = a(x,y,(v5 * (u \ w)) * z). a(x,y,(((z \ 1) * u) * w) * v5) = a(x,y,(w * (u * z)) * v5). a(x,y,z * (((u \ 1) * w) * v5)) = a(x,y,(v5 * (w * u)) * z). a(x,y,(z * ((u \ 1) * w)) * v5) = a(x,y,(z * (w * u)) * v5). a(x,y,(z * (u * w)) * (v5 \ (1 / v6))) = a(x,y,(v5 \ v6) * ((w * u) * z)). a(x,y,z * (((u * w) / (v5 * v5)) * v6)) = a(x,y,(v6 * (w * u)) * z). a(x,y,z * R(u,w,w)) = a(x,y,z * L(u,w,w)). a(x,y,z * L(u * (w * w),v5,v6)) = a(x,y,z * L(u,v5,v6)). a(x,y,z \ (u * u)) = a(x,y,z). a(x,y,L(z * L(z,u,u \ 1),w,v5)) = a(x,y,L(a(u \ 1,u,z),w,v5)). a(x,y,((z * (u \ 1)) \ w) * v5) = a(x,y,((z * u) \ w) * v5). a(x,y,(z \ ((u \ 1) \ w)) * v5) = a(x,y,(z \ (u \ w)) * v5). a(x,y,z * ((u \ (w \ 1)) \ v5)) = a(x,y,((u \ w) \ v5) * z). a(x,y,(((z \ 1) \ (u \ K(w,v5))) \ v6) * v7) = a(x,y,(((z \ K(v5,w)) \ u) \ v6) * v7). a(x,y,(L(z,z,u) * u) * w) = a(x,y,(z \ u) * w). a(x,y,z * ((u \ 1) \ w)) = a(x,y,(u \ w) * z). a(x,y,L((z * u) \ z,w,v5) \ ((z * u) \ z)) = a(x,y,L(u,u,z) * L((z * u) \ z,w,v5)). a(x,y,(z \ (u \ L(u,w,v5))) * v6) = a(x,y,(z \ (u * L(u,w,v5))) * v6). a(x,y,z * (u \ (u / (w \ 1)))) = a(x,y,((w * u) \ u) * z). a(x,y,z \ (u * (w \ (v5 / (v6 \ 1))))) = a(x,y,z \ (u * (w \ (v6 \ v5)))). a(x,y,z \ (u * ((w * w) \ v5))) = a(x,y,z \ (u * v5)). a(x,y,z \ (u * (w \ 1))) = a(x,y,z \ (w * u)). a(x,y,z \ (u * ((w \ 1) \ v5))) = a(x,y,z \ (u * (w \ v5))). a(x,y,(z * (u * u)) \ w) = a(x,y,z \ w). a(x,y,z \ (u * (w / (v5 * v5)))) = a(x,y,z \ (u * w)). a(x,y,(z * (u / (w * w))) \ v5) = a(x,y,(z * u) \ v5). 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). a(x,y,L(z \ 1,u,w) \ v5) = a(x,y,L(z,u,w) \ v5). x \ R(x,(y \ 1) \ z,y \ z) = a(x,(y \ 1) \ z,y \ z). a(x,(y \ 1) \ z,y \ z) * x = R(x,(y \ 1) \ z,y \ z). a(x,y,L(z * L(z,u,u),w,v5)) = a(x,y,a(u,u,L(z,w,v5))). a(x,y \ L(y,z,u),y) = a(x,y,y * L(y,z,u)). x \ L(x,y \ L(y,z,u),L(y,z,u) \ y) = a(x,y \ L(y,z,u),y * L(y,z,u)). a(x,y,(z \ u) \ ((1 / z) * u)) = a(x,y,(z \ u) * ((1 / z) * u)). a(x,y,(z / (u \ 1)) * L(z / (u \ 1),u \ 1,u)) = a(x,y,((u \ 1) \ z) \ (u * z)). 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)). a(x,y,((z \ 1) * (z \ u)) \ w) = a(x,y,u \ w). a(x,y,((z * z) * u) \ w) = a(x,y,w / u). a(x,y,(z * (u * (w * w))) \ v5) = a(x,y,(z * u) \ v5). a(x,y,z \ (((u / (w * w)) \ v5) \ v6)) = a(x,y,z \ ((u \ v5) \ v6)). a(x,y,L(z,z,u)) = a(x,y,u \ (z \ u)). a(x,y,z \ (x \ z)) = a(x,y,x). a(x,y,z \ (((u * (w * w)) \ v5) \ v6)) = a(x,y,z \ ((u \ v5) \ v6)). a(x,y,z \ (u \ ((w * v5) * v5))) = a(x,y,z \ (u \ L(w,v5,v5))). a(x,y,z \ (u \ (w * (v5 * w)))) = a(x,y,z \ (u \ L(v5,w,w))). a(x,y,z \ (u \ ((w \ 1) * v5))) = a(x,y,z \ (u \ (v5 * w))). a(x,y,R(z,z,R(u,u,w) \ w) \ (u * w)) = a(x,y,(R(u,u,w) \ w) * z). a(x,y,z \ (R(L(u,w,u),L(u,w,u),v5) \ v5)) = a(x,y,z \ (u * (a(u,w,u) \ v5))). a(x,y,z \ (u \ (w * a(v5,v5,w)))) = a(x,y,z \ (u \ L(w,v5,v5))). a(x,y,z \ ((u * w) \ w)) = a(x,y,z \ (w \ (u \ w))). a(x,y,L(z \ ((u \ 1) \ w),v5,v6)) = a(x,y,L(z \ (u \ w),v5,v6)). a(x,y,L(L(z,z,u),w,v5)) = a(x,y,L(u \ (z \ u),w,v5)). a(x,y,L(z * (L(u,w,v5) \ u),v6,v7)) = a(x,y,L(z * (u * L(u,w,v5)),v6,v7)). a(x,y,L(z \ ((u \ 1) \ z),w,v5)) = a(x,y,L((u * z) \ z,w,v5)). a(x,y,L((z \ 1) * u,w,v5)) = a(x,y,L(z * u,w,v5)). a(x,y,L((L(z,u,w) * (z \ v5)) * z,v6,v7)) = a(x,y,L(v5 * L(z \ 1,u,w),v6,v7)). a(x,y,L(L(a(z,u,z) * (w \ 1),v5,v6),v7,v8)) = a(x,y,L(L(w,v5,v6),v7,v8)). a(x,y,(z * u) * L(w,z,u \ 1)) = a(x,y,u * (z * w)). x * a(x,(y \ 1) * z,y * z) = R(x,(y \ 1) * z,z * y). a(x,y,T(z,u) * ((1 / w) * (z * w))) = a(x,y,a(w \ 1,w,z)). a(x,x,y * L(y,z,u)) \ (y \ L(y,z,u)) = L(y \ L(y,z,u),x \ 1,x). a(x,y,a(z,z \ 1,(z \ 1) \ u)) = a(x,y,(u / (z \ 1)) * (z * u)). ((x \ L(x,y,z)) \ (L(x,u,w) \ v5)) * L(x,u,w) = ((x \ L(x,y,z)) \ (x \ v5)) * x. R(x,y,L(L(z,u,w),v5,v6) \ 1) = R(x,y,L(L(z \ 1,u,w),v5,v6)). R(x \ ((x / y) * L(y,z,u)),w,(x * y) \ (x * L(y,z,u))) = (y * x) \ (L(y,z,u) * x). ((x \ 1) \ y) * L(((x \ 1) \ y) \ x,z,u) = (y / x) \ L(y,z,u). L(x,y,(z \ 1) * (u * (z * z))) = L(x,y,L((z \ 1) \ u,z,z)). (x \ L(x,y,z)) \ L(L(x,y,z),u,w) = x * L(x \ L(x,u,w),y,z). L(T(x \ ((x / y) * L(y,z,u)),w),v5,L(y,v6,v7)) = L(y \ L(y,z,u),y,x). L(a(x,x,y) \ 1,y,y \ z) = L(a(x,x,y) \ 1,y,z). ((x * L(y,z,u)) \ (x * y)) * x = y * (L(y,z,u) \ x). (L(x,y,z) \ u) * (u \ (x * (L(x,y,z) \ u))) = x * (L(x,y,z) \ (L(x,y,z) \ u)). x * (L(x,y,y \ z) \ z) = z * a(y \ z,y,x). x * (L(x,y,z) \ (y * z)) = (y * z) * a(z,y,x). L(L(x,y,z) \ x,L(x,y,z),u) = u \ (x * (L(x,y,z) \ u)). x \ ((x \ y) * (L(x \ y,z,u) \ x)) = (x * L(x \ y,z,u)) \ y. (x * L(y,z,u)) \ (x * y) = x \ (y * (L(y,z,u) \ x)). L(x,y,(z \ u) \ (z \ (z \ u))) = L(x,y,u \ (z \ u)). L(x,y,L(z * (u * u),w,v5) \ (u * u)) = L(x,y,(u * u) \ (L(z,w,v5) \ (u * u))). a(x,y,(z * u) \ z) = a(x,y,z \ (u \ z)). (x * y) \ ((x * (x \ z)) / (y \ (x \ z))) = ((x * y) * (y \ (x \ z))) \ z. ((x / y) * y) \ (((x / y) * z) / (y \ z)) = (x * (y \ z)) \ ((x / y) * z). ((a(x,y,z) \ u) * a(x,y,z)) \ (((a(x,y,z) \ u) * w) / (a(x,y,z) \ w)) = (u * (a(x,y,z) \ w)) \ ((a(x,y,z) \ u) * w). (x * a(y \ 1,y,z)) \ ((x * z) / (a(y \ 1,y,z) \ z)) = ((x * a(y \ 1,y,z)) * L(z,y,y \ 1)) \ (x * z). (a(x,x,y) * L(y,x,x)) \ ((a(x,x,y) * z) / (L(y,x,x) \ z)) = (y * (L(y,x,x) \ z)) \ (a(x,x,y) * z). ((x * (y / z)) * z) \ (x * y) = (x * (y / z)) \ ((x * y) / z). ((x * y) * T(z,y)) \ (x * (z * y)) = (x * ((z * y) / z)) \ ((x * (((z * y) / z) * z)) / z). ((x * y) * T(z,y)) \ (x * (z * y)) = (x * y) \ ((x * (y * z)) / z). (x * y) \ ((x * (y * (z * K(x * y,z)))) / (z * K(x * y,z))) = (T(x * y,z) * z) \ (T(x * y,z) * L(z,y,x)). R(x,y,((z * u) * w) \ (z * (w * u))) = R(x,y,(z * u) \ (w \ (z * (u * w)))). a(x,y,((z * u) * w) \ ((u * w) * z)) = a(x,y,(z * u) \ (w \ (z * (u * w)))). L(x,y,(z * u) \ (w \ ((v5 * v5) \ (z * (u * (w * (v5 * v5))))))) = L(x,y,a(w * (v5 * v5),u,z)). L(x,y,a(z \ K(u,w),v5,v6)) = L(x,y,(v6 * v5) \ ((z \ 1) \ (v6 * (v5 * (z \ 1))))). (x * (x \ y)) \ ((x * ((x \ y) * (x \ y))) / (x \ y)) = L((x \ y) * (y \ x),x \ y,y). (x * (L(x,y,z) \ L(x \ L(x,y,z),x,u))) * (L(x,y,z) \ x) = L(x / L(x,y,z),x,u * x). T(x,K(y * z,y)) = T(x,K(z,y)). L(x \ 1,x,y) * T(z,y / (y * x)) = T(z * ((y * x) \ y),K(x,y)). L(x / L(x,y,z),x,x \ u) = L(L(x,y,z) \ x,x,u). x \ ((x / (y * x)) * L(y * x,z,u)) = x \ ((x / (x * y)) * L(x * y,z,u)). ((x * (y * y)) \ L(x,z,u)) * (y * y) = x \ L(x,z,u). K(x,x \ y) \ ((K(x,x \ y) / ((x \ y) / z)) * L((x \ y) / z,u,w)) = ((y / x) / z) \ L((y / x) / z,u,w). ((x * y) \ x) \ L((x * y) \ x,z,u) = x \ ((x / y) * L(y,z,u)). x \ ((T(x,y) / y) * L(y,z,u)) = (y * x) \ (x * L(y,z,u)). ((x * ((x * y) \ y)) \ x) \ T(x,x * ((x * y) \ y)) = T((x * (x * ((x * y) \ y))) / x,T(x,y)). K(x,y) \ ((z \ 1) * (z * y)) = 1 \ T((z \ 1) * (z * y),x). K(x,y * (L(y,z,u) \ y)) = K(x,y). ((x * (L(x,y,z) \ x)) * u) * ((x * (L(x,y,z) \ x)) \ K(u,x)) = R(u,x * (L(x,y,z) \ x),x * (L(x,y,z) \ x)). (L(x,y,z) \ x) * (x \ K(u,w)) = L(x,y,z) \ K(u,w). x * ((R(x,x,y) \ y) * a(z,u,x)) = L(a(z,u,x) * y,x,x). x * (L(x,y,z) \ (z * y)) = a(z,y,x) * (z * y). a(x,y,z * ((u \ 1) * w)) = a(x,y,z * (u * w)). L(x,L(y,z,u) \ y,y \ L(y,z,u)) * a(y \ L(y,z,u),x,L(y,z,u) \ y) = L(x,y \ L(y,z,u),L(y,z,u) \ y). (x \ L(x,y,z)) \ L(u,x \ L(x,y,z),L(x,y,z) \ x) = u * T(L(x,y,z) \ x,(x \ L(x,y,z)) * u). L(L(x,y,z) \ x,L(x,y,z) \ x,u) * T(u,L(x,y,z) \ x) = (u * (x * (L(x,y,z) \ (L(x,y,z) \ x)))) / (L(x,y,z) \ x). a(x,x,y) \ a(x,x,L(y,z,z)) = a(z,z,a(x,x,y)). a(x,x,y) \ (a(x,x,y) \ a(x,x,L(y,z,u))) = L(a(x,x,y),z,u) \ 1. T(L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1),x) = L(x,u,w) * (L(x \ L(x,u,w),y,z) \ 1). x * (L(x,y,z) \ ((x \ L(x,u,w)) \ (x \ v5))) = (x \ L(x,u,w)) \ (L(x,y,z) \ v5). L(x,y,L(z \ 1,z \ 1,u)) = L(x,y,L(z \ 1,z,u)). (((x \ 1) * (x * y)) \ 1) \ R(y \ 1,y * (((x \ 1) * (x * y)) \ 1),y * ((x \ 1) * (x * y))) = (y * (((x \ 1) * (x * y)) \ 1)) \ 1. ((x \ 1) * y) \ L((x \ 1) * y,z,u) = (y * x) \ L(y * x,z,u). (L(x,y / x,x) * (y / x)) \ (y / x) = (x \ y) \ (x \ (x \ y)). x / (x \ (y \ x)) = L(y,x,y) * x. ((x \ R(x,y,z)) * L(u,x \ R(x,y,z),u)) \ (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (u \ (x \ R(x,y,z))). (x / (x \ (y \ x))) * z = (L(y,x,y) * x) * z. ((x * (y * x)) / x) \ y = y \ (x \ y). ((x \ L(x,y,z)) * u) \ u = u \ ((x \ L(x,y,z)) \ u). (x / (L(y,x,y) * x)) * L(L(y,x,y) * x,z,u) = L(L(y,x,y) * x,z,u) * (x \ (y \ x)). (L(x,y,x) * L(y,z,u)) \ L(y,z,u) = L(y,z,u) \ (x \ L(y,z,u)). a(x,y,z * L(z,u,u)) = a(x,y,a(z,u,u)). a(x * y,z,a(x,y,y)) = 1. a(x,y,a(z,u,z * u)) = a(x,y,a(z,u,u)). a(x,y,z * (u \ L(u \ L(u,w,v5),v6,v7))) = a(x,y,z * (u * L(u \ L(u,w,v5),v6,v7))). a(x,y,z * ((u \ (w * w)) * v5)) = a(x,y,(v5 * u) * 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 * L(u \ K(w,v5),v6,v7)) = a(x,y,L(u,v6,v7) * z). a(x,y,z * L(u,u,w)) = a(x,y,z * ((w * u) \ w)). a(x,y,z * ((u \ R((w \ 1) \ 1,v5,v6)) * v7)) = a(x,y,(v7 * (u \ (R(w,v5,v6) \ 1))) * z). a(x,y,(((1 / z) * u) * w) * v5) = a(x,y,(w * (u * z)) * v5). a(x,y,((((z \ 1) \ 1) * (L(z,u,w) \ z)) * v5) * v6) = a(x,y,(v5 * (L(z,u,w) \ 1)) * v6). a(x,y,((L((z \ 1) * u,w,v5) \ ((z \ 1) * u)) * (u * z)) * v6) = a(x,y,L((z \ 1) * u,w,v5) * v6). a(x,y,(z * ((u \ 1) * w)) * v5) = a(x,y,(z * (u * w)) * v5). a(x,y,(z \ (1 / u)) * (w * ((v5 * v6) \ K(v7,v8)))) = a(x,y,(z \ u) * ((v6 * v5) * w)). a(x,y,(z * ((u / (w * w)) * v5)) * v6) = a(x,y,(z * (u * v5)) * v6). a(x,y,z * (u * ((w / (v5 * v5)) * v6))) = a(x,y,(u * (w * v6)) * z). a(x,y,z * L(u / w,w,w)) = a(x,y,z * (u * (w \ 1))). a(x,y,(z / u) * (u * z)) = a(x,y,a(u \ z,u,z)). a(x,y,L(z,z,u) * w) = a(x,y,(u \ (z \ u)) * w). a(x,y,z * (u \ ((w \ 1) \ v5))) = a(x,y,(u \ (w \ v5)) * z). a(x,y,L(L(z,z,u),u,u)) = a(x,y,(z \ u) * u). a(x,y,((z / (u * u)) \ w) * v5) = a(x,y,v5 * ((z \ (u * u)) \ w)). a(x,y,L(z,z,u) * L((u * z) \ u,w,v5)) = a(x,y,(u \ ((u / z) * L(z,w,v5))) \ 1). a(x,y,z * (u \ ((w \ 1) \ u))) = a(x,y,((w * u) \ u) * z). a(x,y,z \ (u * (w \ (v5 \ 1)))) = a(x,y,z \ (u * (w \ v5))). a(x,y,z \ (u * (w * (w * v5)))) = a(x,y,z \ (u * L(v5,w,w))). a(x,y,z \ ((u * w) * ((v5 * v5) \ L(v6,w,u)))) = a(x,y,z \ (u * (w * v6))). a(x,y,z \ (u * L(T(w,v5),v5,v5))) = a(x,y,z \ (u * (v5 * (w * v5)))). a(x,y,z \ (u * (L(w,v5,v6) \ w))) = a(x,y,z \ (u * (w * L(w,v5,v6)))). a(x,y,z \ ((u \ K(w,v5)) * v6)) = a(x,y,z \ (u * v6)). a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u * w)). a(x,y,z \ L(u,w,w \ 1)) = a(x,y,z \ (w * (w * u))). a(x,y,z \ (((u \ 1) \ w) * v5)) = a(x,y,z \ (v5 * (u \ w))). a(x,y,((z * (u * u)) * w) \ v5) = a(x,y,(w * z) \ v5). a(x,y,(z * (((u \ 1) * z) \ z)) \ w) = a(x,y,(u \ z) \ w). a(x,y,((z * z) * (T(u / (z \ 1),z) \ w)) \ v5) = a(x,y,(((z * z) * (z \ u)) \ w) \ v5). a(x,y,(z / (u * (w * w))) \ v5) = a(x,y,(u \ z) \ v5). a(x,y,(z \ (u \ (w * w))) \ v5) = a(x,y,(z \ (u \ 1)) \ v5). a(x,y,z \ (u * (w * (v5 \ 1)))) = a(x,y,z \ (u * (w * v5))). a(x,y,(((z * z) \ u) * w) \ v5) = a(x,y,(w * u) \ v5). a(x,y,(z * (u * (w \ 1))) \ v5) = a(x,y,(z * (u * w)) \ v5). a(x,y,(z \ (u \ R(u,w,v5))) \ v6) = a(x,y,(z \ (u * R(u,w,v5))) \ v6). a(x,y,(z * (u \ K(w,v5))) \ v6) = a(x,y,(z * u) \ v6). a(x,y,L(z \ 1,u,w) * L(L(z \ 1,u,w),v5,v6)) = a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v6)). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v5 \ 1)) = a(x,y,a(v5 \ 1,v5,L(z \ 1,u,w)) \ 1). a(x,(y * z) \ L(y * z,u,w),z * y) = a(x,y * z,(y * z) * L(y * z,u,w)). L(a(x,y \ L(y,z,u),y),w,y) = a(x,y,y * L(y,z,u)). a(x,(y \ 1) * z,((y \ 1) * z) * L((y \ 1) * z,u,w)) = a(x,((y \ 1) * z) \ L((y \ 1) * z,u,w),y * z). a(x,(y * y) * z,((y * y) * z) * L((y * y) * z,u,w)) = a(x,((y * y) * z) \ L((y * y) * z,u,w),z). a(x,(y * z) \ L(y * z,z,y),y * z) = a(x,y * z,y * (z * (y * z))). a(x,y,(z \ u) \ ((1 / z) * u)) = a(x,y,(z \ u) * ((z \ 1) * u)). a(x,y,a(z,z \ 1,(z \ 1) \ u)) = a(x,y,((z \ 1) \ u) \ (z * u)). a(x,y,((z \ 1) * u) \ w) = a(x,y,(z * u) \ w). a(x * y,z,a(y,x,x)) = 1. L(a(x,y,y),z,x * y) = a(x,y,y). L(a(x,y,y),z,y * x) = a(x,y,y). a(x,y,(z * ((u * u) * w)) \ v5) = a(x,y,(z * w) \ v5). a(x,y,z \ (((u \ 1) \ w) \ v5)) = a(x,y,z \ ((u \ w) \ v5)). a(x,y,z \ (((u * (w \ 1)) \ v5) \ v6)) = a(x,y,z \ (((u * w) \ v5) \ v6)). a(x,y,L(R(z,u,(z * u) \ w),R(z,u,(z * u) \ w),w)) = a(x,y,w \ (u * ((z * u) \ w))). a(x,y,z \ (u \ L(w \ v5,w,w))) = a(x,y,z \ (u \ (v5 * w))). a(x,y,z \ (u \ (((w \ v5) * (w * w)) * (v6 * ((w \ v5) * (w * w)))))) = a(x,y,z \ (u \ L(v6,(w \ v5) * (w * w),(w \ 1) \ v5))). a(x,y,z \ (u \ (((w * (v5 * v6)) / v6) * v6))) = a(x,y,z \ (u \ (w * (v5 * (v6 \ 1))))). a(x,y,R(z,z,u * w) \ (w * u)) = a(x,y,(R(w,w,u) \ u) * z). a(x,y,z \ (R(L(u,w,u),u,v5) \ v5)) = a(x,y,z \ (u * (a(u,w,u) \ v5))). a(x,y,L((((z \ 1) \ u) \ L((z \ 1) \ u,w,v5)) \ (z \ u),v6,v7)) = a(x,y,L(L(1 / ((z \ 1) \ u),w,v5) \ 1,v6,v7)). a(x,y,L(L(z \ 1,z,u),w,v5)) = a(x,y,L(u \ (z \ u),w,v5)). a(x,y,L(L(z,u,w),z,v5)) = a(x,y,L(v5 \ (z \ v5),u,w)). a(x,y,L((z * u) \ u,w,v5)) = a(x,y,L(u \ (z \ u),w,v5)). a(x,y,L(z * L(u \ 1,w,v5),v6,v7)) = a(x,y,L(z * L(u,w,v5),v6,v7)). a(x,y,L(L(z \ a(u,w,u),v5,v6),v7,v8)) = a(x,y,L(L(z,v5,v6),v7,v8)). a(x,y,T(z,u) * ((w \ 1) * (z * w))) = a(x,y,a(w \ 1,w,z)). L(x \ L(x,y,z),u \ 1,u) = L(x \ L(x,y,z),u,u). a(x,y,a(z,z \ 1,(z \ 1) \ u)) = a(x,y,(z * u) * (u / (z \ 1))). a(x,y,((1 / z) * u) \ (z \ u)) = a(x,y,(z \ u) * (u * z)). R(x,y,L(L(z \ 1,u,w),v5,v6)) = R(x,y,L(L(z,u,w),v5,v6)). (x * (((y * z) \ ((y * (z * x)) / x)) \ 1)) \ x = L(x \ L(x,z,y),x,y * z). R(K(x,a(y,z,u) \ w) * (a(y,z,u) \ K(w,x)),w,x) = L(a(y,z,u) \ 1,w,x). (x \ 1) \ (((x \ 1) / y) * L(y,z,u)) = (y * x) \ (L(y,z,u) * x). L(x,y,R(z,u,u) \ z) = L(x,y,a(u,u,z)). ((x / y) * z) / (x * (y \ z)) = (x * (y \ z)) \ ((x / y) * z). ((x * x) * (x \ y)) \ (x * y) = a(x,x,x \ y) \ 1. R(x \ ((x / y) * L(y,z,u)),w,x \ ((x / y) * L(y,z,u))) = (y * x) \ (L(y,z,u) * x). ((x \ 1) \ y) * L(((x \ 1) \ y) \ x,z,u) = (x \ (y \ L(y,z,u))) * (x * x). L(x,y,(z \ 1) * (u * (z * z))) = L(x,y,u * z). T(L(x \ L(x,y,z),x,L(x,y,z) * u),w) = L(x \ L(x,y,z),x,u). L(a(x,x,y) \ 1,y,z) * ((a(x,x,y) \ 1) \ z) = ((z / y) * L(y,x,x)) / (a(x,x,y) \ 1). x \ ((x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ x)) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). L(L(x,y,z) \ x,L(x,y,z),u) * u = x * (L(x,y,z) \ u). (x * L(y,z,u)) \ (w \ ((w * x) * L(y,x,w))) = x \ (y * (L(y,z,u) \ x)). L(x,y,L(z * (u * u),w,v5) \ (u * u)) = L(x,y,T(L(z,w,v5) \ 1,u * u)). a(x,y,L(z * u,z * u,L(u,u,z))) = a(x,y,z \ (((z * u) \ 1) \ z)). ((x * y) * (y \ (x \ z))) \ z = (x * y) \ (z / (y \ (x \ z))). (x * (y \ z)) \ ((x / y) * z) = x \ (((x / y) * z) / (y \ z)). (x * (a(y,z,u) \ w)) \ ((a(y,z,u) \ x) * w) = x \ (((a(y,z,u) \ x) * w) / (a(y,z,u) \ w)). (x * (L(x,y,y) \ z)) \ (a(y,y,x) * z) = x \ ((a(y,y,x) * z) / (L(x,y,y) \ z)). (x * a(y \ 1,y,z)) \ ((x * z) / (a(y \ 1,y,z) \ z)) = (a(y \ 1,y,z) * (x * L(z,y,y \ 1))) \ (x * z). a(x,y,(z * ((u * w) / u)) \ ((z * (u * w)) / u)) = a(x,y,a(u,(u * w) / u,z)). (x * (y * z)) / ((x * z) * T(y,z)) = (x * z) \ ((x * (z * y)) / y). (x * ((y * z) / y)) \ ((x * (((y * z) / y) * y)) / y) = (x * z) \ ((x * (z * y)) / y). (x * y) \ ((x * (y * (z * K(x * y,z)))) / (z * K(x * y,z))) = T(x * y,z) \ ((T(x * y,z) / z) * L(z,y,x)). a(x,y,(z * u) \ ((w \ 1) \ (z * (u * (w \ 1))))) = a(x,y,a(w \ K(u,w \ 1),u,z)). L(x,y,(z * u) \ (w \ T(z * (u * w),v5 * v5))) = L(x,y,a(w * (v5 * v5),u,z)). L(x,y,a(z \ K(u,w),v5,v6)) = L(x,y,(v6 * v5) \ (z \ (v6 * (v5 * z)))). x \ ((y * ((y \ x) * (y \ x))) / (y \ x)) = L((y \ x) * (x \ y),y \ x,x). L(x / L(x,y,z),x,u * x) = L(L(x,y,z) \ x,x,u). L(L(x,y,z) \ x,x,x \ u) = L(L(x,y,z) \ x,x,u). (((x * x) \ y) \ z) \ L(((x * x) \ y) \ z,u,w) = (y \ z) \ L(y \ z,u,w). K(x,x \ y) \ ((K(x,x \ y) / ((x \ y) / z)) * L((x \ y) / z,u,w)) = (z \ (y / x)) \ L(z \ (y / x),u,w). (x * y) \ (y * L(x,z,u)) = y \ (x \ (y * L(x,z,u))). ((x * ((x * y) \ y)) \ x) \ T(x,x * ((x * y) \ y)) = T(x * ((x * y) \ y),K(x,y)). K(x \ y,z) \ ((u \ 1) * (u * z)) = 1 \ T((u \ 1) * (u * z),((y \ 1) * x) \ 1). x * K((y \ (z \ u)) * x,(u \ z) * y) = ((u \ (z * y)) \ x) * (u \ (z * y)). a(x,y,z * (u * L(u \ L(u,w,v5),v6,v7))) = a(x,y,z * (u * L(u * L(u,w,v5),v6,v7))). (x * (a(y,y,x) \ z)) / (L(x,y,y) * (a(y,y,x) \ z)) = R(a(y,y,x),L(x,y,y),z). x \ L(x,y,y \ L(y,z,u)) = a(x,y,y * L(y,z,u)). L(x,L(y,z,u) \ y,y \ L(y,z,u)) * 1 = L(x,y \ L(y,z,u),L(y,z,u) \ y). (x \ L(x,y,z)) \ L(u,x \ L(x,y,z),L(x,y,z) \ x) = u * (L(x,y,z) \ x). (x * (y * (L(y,z,u) \ (L(y,z,u) \ y)))) / (L(y,z,u) \ y) = L(L(y,z,u) \ y,L(y,z,u) \ y,x) * x. L(a(x,x,y \ L(y,z,u)),w,y) \ 1 = a(x,x,y \ L(y,z,u)) \ (a(x,x,y \ L(y,z,u)) \ a(x,x,y \ L(y,z,u))). L(x,y,L(z \ 1,z,z \ u)) = L(x,y,L(z \ 1,z,u)). (((x \ 1) * (x * y)) \ 1) \ R(y \ 1,y * (((x \ 1) * (x * y)) \ 1),y * ((x * y) * x)) = (y * (((x \ 1) * (x * y)) \ 1)) \ 1. (x * (y \ 1)) \ L(x * (y \ 1),z,u) = (x * y) \ L(x * y,z,u). (x * (x * y)) \ L(x * (x * y),z,u) = (1 / (x * y)) * (x * L(y,z,u)). (L(x,x \ y,x) * (y / x)) \ (y / x) = (x \ y) \ (x \ (x \ y)). L(L(x,y,x) * y,z,u) * (y \ (x \ y)) = (y \ (x \ y)) * L((y \ (x \ y)) \ y,z,u). (x \ ((x / (x \ (y \ x))) * L(x \ (y \ x),z,u))) * x = (L(y,x,y) * x) * L(x \ (y \ x),z,u). ((x \ R(x,y,z)) * u) \ (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (u \ (x \ R(x,y,z))). (L(L(x,y,z) \ x,u,w) \ (L(L(x,y,z) \ x,u,w) * (v5 * L(L(x,y,z) \ x,u,w)))) \ v5 = v5 \ (L(L(x,y,z) \ x,u,w) \ v5). (x * y) * (x \ (y \ x)) = K(x * y,y) * x. L(x,y,z * ((u \ (u * (w * u))) \ w)) = L(x,y,z * (w \ (u \ w))). (a(x,y,z) * u) \ a(x,y,z) = a(x,y,z) \ (u \ a(x,y,z)). a(x,y,a(z,z \ u,z \ u)) = a(x,y,a(z,z \ u,u)). a(x,y,a(z,u,u)) = a(x,y,a(u,u,z)). a(x,y,z * L(u / w,w,w)) = a(x,y,(u * w) * z). a(x * y,z,a(x,x,y)) = 1. a(x,y,a(z,u,u)) \ w = a(x,y,a(u,u,z)) \ w. a(x,y,a((z * z) \ u,(z * z) \ u,w)) = a(x,y,a(w,(z * z) \ u,u)). a(x,y,(z / u) * L(w / v5,v5,v5)) = a(x,y,(w * v5) * (u \ z)). a(x,y,(z / u) * L(z / u,u,u)) = a(x,y,a(z,u,u \ z)). a(x,y,((1 / z) * (u * L(u,w,v5))) * v6) = a(x,y,v6 * ((u \ L(u,w,v5)) * z)). a(x,y,z * L(u,u,w)) = a(x,y,z * ((u * w) \ w)). a(x,y,((L(z \ 1,u,w) \ 1) * v5) * v6) = a(x,y,(v5 * (L(z,u,w) \ 1)) * v6). a(x,y,((L(z * u,w,v5) \ (z * u)) * (z * u)) * v6) = a(x,y,L((u \ 1) * z,w,v5) * v6). a(x,y,(z * ((L(u,w,v5) \ u) * v6)) * v7) = a(x,y,(z * ((u \ L(u,w,v5)) * v6)) * v7). a(x,y,(z * ((u * (w \ 1)) * v5)) * v6) = a(x,y,(z * ((u * w) * v5)) * v6). a(x,y,z * (u * ((w * (v5 \ 1)) * v6))) = a(x,y,(u * ((w * v5) * v6)) * z). a(x,y,(z \ u) * (z * u)) = a(x,y,a(z \ u,z,u)). a(x,y,((z * u) \ z) * w) = a(x,y,(z \ (u \ z)) * w). a(x,y,z * (u \ ((w \ 1) \ v5))) = a(x,y,z * (u \ (w \ v5))). a(x,y,L(L(z,u,u),z,u)) = a(x,y,(z \ u) * u). a(x,y,(((z * z) \ u) \ w) * v5) = a(x,y,v5 * ((u \ (z * z)) \ w)). a(x,y,L(z,z,u) * L((u * z) \ u,w,v5)) = a(x,y,u \ ((u / z) * L(z,w,v5))). a(x,y,((z * u) \ u) * w) = a(x,y,(u \ (z \ u)) * w). a(x,y,z \ ((u \ (w \ 1)) * v5)) = a(x,y,z \ (v5 * (u \ w))). a(x,y,z \ (u * (w \ (((v5 * v6) \ v5) \ 1)))) = a(x,y,z \ (u * (w \ ((v6 * v5) \ v5)))). L(x,x,y) \ x = a(y,x,x). (x * y) \ (z * a(x,y,y)) = ((x * y) \ z) * a(x,y,y). R(x,y,(z * u) \ a(z,u,u)) = R(x,y,a(z,u,u) * (z * u)). a(x,y,z \ ((u * w) * L((v5 * v5) \ v6,w,u))) = a(x,y,z \ (u * (w * v6))). a(x,y,z \ (u * (w * (v5 * w)))) = a(x,y,z \ (L(v5,w,w) * u)). a(x,y,z \ ((1 / u) * w)) = a(x,y,z \ (u * w)). a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (w * u)). a(x,y,z \ (R(u,w,w * u) * v5)) = a(x,y,z \ ((w * ((u * w) \ 1)) * v5)). a(x,y,z \ (u * (L(u,w,v5) * (u \ v6)))) = a(x,y,z \ (L(u \ 1,w,v5) * v6)). a(x,y,z \ L(u,w,w \ 1)) = a(x,y,z \ L(u,w,w)). a(x,y,(z * u) \ (z * (w * (u * (v5 * v5))))) = a(x,y,L(w,u * (v5 * v5),z)). a(x,y,((z \ 1) \ u) \ w) = a(x,y,(z \ u) \ w). a(x,y,(((z * z) * u) \ w) \ v5) = a(x,y,(u \ w) \ v5). a(x,y,((z * (u * u)) \ w) \ v5) = a(x,y,(z \ w) \ v5). a(x,y,(z \ (u \ (w * w))) \ v5) = a(x,y,(z \ u) \ v5). a(x,y,z \ (((u \ 1) * w) * v5)) = a(x,y,z \ (v5 * (w * u))). a(x,y,z \ ((u * (w \ 1)) * v5)) = a(x,y,z \ (v5 * (u * w))). a(x,y,(z * (u * a(w,w,u))) \ v5) = a(x,y,(z * L(u,w,w)) \ v5). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v6)) = a(x,y,L((z \ 1) * L(z \ 1,v5,v6),u,w)). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v5 \ 1)) = a(x,y,a(v5 \ 1,v5,L(z,u,w)) \ 1). L(a(x,y,y * L(y,z,u)),w,y) = a(x,y,y * L(y,z,u)). a(x,(y \ 1) * z,((y \ 1) * z) * L((y \ 1) * z,u,w)) = a(x,(z * y) \ L(z * y,u,w),y * z). x \ L(x,y * z,(y * z) \ L(y * z,z,y)) = a(x,y * z,y * (z * (y * z))). L(a(x,x,y),z,x * y) = a(x,x,y). a(x,y,(z \ u) \ ((1 / z) * u)) = a(x,y,(z \ u) * (u * z)). a(x,y,a(z,z \ 1,z \ u)) = a(x,y,((z \ 1) \ u) \ (z * u)). a(x,y,(z * (u * z)) \ w) = a(x,y,R(u,z,z) \ w). a(x,y,z \ ((u \ (((w \ v5) * (w * w)) * (v6 * (w \ v5)))) * (w * w))) = a(x,y,z \ (u \ L(v6,(w \ v5) * (w * w),(w \ 1) \ v5))). a(x,y,z \ (u \ (w * (v5 * (v6 \ 1))))) = a(x,y,z \ (u \ (w * (v5 * v6)))). a(x,y,(R(z,z,u) \ u) * w) = a(x,y,(u * z) * w). a(x,y,z \ (L(R(u,u,w),v5,u) \ w)) = a(x,y,z \ (u * (a(u,v5,u) \ w))). a(x,y,L((((z \ 1) \ u) \ L((z \ 1) \ u,w,v5)) \ (z \ u),v6,v7)) = a(x,y,L(L(1 / ((z \ 1) \ u),w,v5),v6,v7)). a(x,y,L((z * u) \ z,w,v5)) = a(x,y,L(z \ (u \ z),w,v5)). a(x,y,L(L(z,z,u) \ (u \ L(z,z,u)),w,v5)) = a(x,y,L((u / (z \ 1)) \ L(z,z,u),w,v5)). a(x,y,T(z,u) * ((z * w) * w)) = a(x,y,a(w \ 1,w,z)). L(x \ (y * L(y \ x,z,u)),w \ 1,w) = L((y / x) \ L(y / x,z,u),w,w). L((x \ K(y,z)) \ L(x \ K(y,z),u,w),v5,v5) = L(x * L(x \ 1,u,w),v5 \ 1,v5). a(x,y,a(z,z \ 1,(z \ 1) \ u)) = a(x,y,(z * u) * ((z \ 1) \ u)). a(x,y,((z \ 1) * u) \ (z \ u)) = a(x,y,(z \ u) * (u * z)). R(K(x,y) * (a(z,u,w) \ K(y,x)),y,x) = L(a(z,u,w) \ 1,y,x). (x \ 1) \ (((x \ 1) / y) * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). a(x,y,a(z,z,z \ u) \ 1) = a(x,y,(z * u) / (z \ u)). R(x \ ((x / y) * L(y,z,u)),w,x \ ((x / y) * L(y,z,u))) = x \ ((x / y) * L(y,z,u)). (x \ L(x,y,z)) \ a(u,w,x * L(x,y,z)) = x * (L(x,y,z) \ a(u,w,x * L(x,y,z))). (x / (y \ 1)) \ L(x,z,u) = y \ (x \ L(x,z,u)). L(x \ L(x,y,z),x,L(x,y,z) * u) = L(x \ L(x,y,z),x,u). L(a(x,x,y) \ 1,y,z) * ((a(x,x,y) \ 1) \ z) = (a(x,x,y) \ 1) \ ((z / y) * L(y,x,x)). (x * L(x \ L(x,y,z),u,w)) \ L(x,y,z) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). L(x,x,y) \ x = (a(y,x,x) \ z) \ z. L(x,x,y) * a(y,x,x) = x. (L(x,x,y) \ x) * y = R(y,x,x). L(x \ 1,x,y) \ (x \ 1) = a(y,x,x). a(x,y,y) \ y = L(y,y,x). a(x,y,y) * L(y,y,x) = y. L(x,x,y) \ 1 = x \ a(y,x,x). L(x,x,y) \ (x * L(x \ L(x,x,y),z,u)) = a(y,x,x) \ L(L(x,x,y) \ x,z,u). a(x,y,z * L(z,z,u)) = a(x,y,a(u,z,z)). a(x,y,y) \ 1 = y \ L(y,y,x). x * (L(x,x,y) \ L(x \ L(x,x,y),z,u)) = L(x,x,y) * (x \ L(a(y,x,x),z,u)). L(x,y,z) * (x \ L(x,x,u)) = a(u,x,x) \ L(x,y,z). (x * a(y,x,x)) \ 1 = L(x \ 1,x,y). a(x,y,L(z * L(z,z,u),w,v5)) = a(x,y,L(a(u,z,z),w,v5)). a(x,y,(z \ (u \ L(u,u,w))) \ v5) = a(x,y,(z \ a(w,u,u)) \ v5). a(x,y,z \ (u * (w * L(w,w,v5)))) = a(x,y,z \ (u * a(v5,w,w))). x * L(y,a(z,x,x),L(x,x,z)) = L(x,x,z) * (a(z,x,x) * y). L(K(a(x,y,y),L(y,y,x)) * z,L(y,y,x),a(x,y,y)) = y \ (a(x,y,y) * (L(y,y,x) * z)). x * (R(x,y,y) \ y) = a(x,y,y) \ y. L(L(x,x,y),a(y,x,x),z) = (z * a(y,x,x)) \ (z * x). a(L(x,x,y) * (a(y,x,x) * a(y,x,x)),z,u) = a((a(y,x,x) \ 1) \ x,z,u). a(x,y \ 1,y) \ (y \ 1) = L(y \ 1,y \ 1,x). a(x,y,y) \ y != z | L(y,y,x) = z. ((x * y) / L(y,y,z)) \ (x * a(z,y,y)) = a(x,a(z,y,y),L(y,y,z)). x \ L(x,x,a(y,z,u)) = a(x,x,a(y,z,u)). x \ R(x,x,y) = a(x,x,y). a(x,x,y) * ((x * y) * z) = (x * y) * (a(x,x,y) * z). L(L(a(x,x,y),z,u),w,x * y) = L(a(x,x,y),z,u). L(x,y,L(z * (u * u),w,v5) \ (u * u)) = L(x,y,L(z,w,v5) \ 1). a(x,y,L(z * u,z * u,L(u,u,z))) = a(x,y,z \ ((z * u) \ z)). K(x \ 1,y) \ ((z \ 1) * (z * y)) = 1 \ T((z \ 1) * (z * y),((u \ 1) * (u * x)) \ 1). a(L(x,y,y),a(y,y,x),z) = a(a(y,y,x),L(x,y,y),z). a(x,y,y * L(y,z,u)) * (x \ y) = L(x \ y,y,y \ L(y,z,u)). (L(x,y,y) * (a(y,y,x) \ z)) \ (x * (a(y,y,x) \ z)) = R(a(y,y,x),L(x,y,y),z). x * (L(x,y,z) \ (x \ ((x \ L(x,u,w)) \ v5))) = (x \ L(x,u,w)) \ (L(x,y,z) \ v5). a(x,y,z * (u \ L(u \ L(u,w,v5),v6,v7))) = a(x,y,z * (u * L(u * L(u,w,v5),v6,v7))). L(x,L(y,z,u) \ y,y \ L(y,z,u)) = L(x,y \ L(y,z,u),L(y,z,u) \ y). (L(x \ L(x,y,z),u,w) \ v5) * (L(x,y,z) * L(x \ 1,y,z)) = L(L(x,y,z) \ x,u,w) \ v5. (L(x,y,z) \ x) \ (u * (x * (L(x,y,z) \ (L(x,y,z) \ x)))) = L(L(x,y,z) \ x,L(x,y,z) \ x,u) * u. L(a(x,x,y \ L(y,z,u)),w,y) \ 1 = a(x,x,y * L(y,z,u)) \ (a(x,x,y \ L(y,z,u)) \ a(x,x,y \ L(y,z,u))). (((x \ 1) * (x * y)) \ 1) \ R(y \ 1,y * (((x \ 1) * (x * y)) \ 1),y * L(y,x,x)) = (y * (((x \ 1) * (x * y)) \ 1)) \ 1. (((x \ 1) \ y) * x) \ L(((x \ 1) \ y) * x,z,u) = y \ L(y,z,u). (x * (y / R(x,x \ y,x))) \ (y / x) = (x \ y) \ (x \ (x \ y)). L(L(x,y,x) * y,z,u) * (y \ (x \ y)) = ((x \ y) / y) \ L(x \ y,z,u). ((x \ y) \ (y * L(y \ (x \ y),z,u))) * y = (L(x,y,x) * y) * L(y \ (x \ y),z,u). (x * y) * (x \ (y \ x)) = x * K(y * x,y). (x * L(L(y,z,u) \ y,w,v5)) \ x = x \ (L(L(y,z,u) \ y,w,v5) \ x). L(x,y,z * ((u * w) \ u)) = L(x,y,z * (u \ (w \ u))). ((x * y) \ (z * a(x,y,y))) / a(x,y,y) = (x * y) \ z. (x * y) \ ((x * (y * z)) * a(x,y,y)) = L(z,y,x) * a(x,y,y). R(x,y,(z * u) \ a(z,u,u)) = R(x,y,R(z,u,u) * u). x * a(x,x,y) = R(x,x,y). a(x,x,y) * x = R(x,x,y). x * (L(x,y,z) \ a(x,x,u)) = L(x,y,z) \ R(x,x,u). (x \ a(x,x,y)) * x = (x \ 1) * R(x,x,y). L(x * y,z,a(x,x,y)) = x * y. a(x,y,z * ((u \ L(u,w,v5)) * v6)) = a(x,y,z * ((u * L(u,w,v5)) * v6)). a(x,y,(z * (L(u,w,v5) \ 1)) * v6) = a(x,y,v6 * (z * L(u \ 1,w,v5))). a(x,y,(z * ((L(u,w,v5) \ u) * v6)) * v7) = a(x,y,v7 * (z * (v6 * (u \ L(u,w,v5))))). a(x,y,z * (u * ((w * (v5 \ 1)) * v6))) = a(x,y,(u * (v6 * (w * v5))) * z). x \ (y * L(y \ x,x \ y,z)) = a(z,x \ y,x \ y) \ 1. a(x,x \ y,x \ y) \ 1 = (x \ y) * (y \ x). L(x,x,y) * L(x \ a(y,x,x),z,u) = L(x,x,y) \ L(L(x,x,y),z,u). L(x,x,y) \ (x * L(x \ L(x,x,y),z,u)) = a(y,x,x) \ L(a(y,x,x),z,u). 1 / (x \ (x / y)) = y * a(y \ x,y,y). (x \ y) * a(x,x \ y,x \ y) = 1 / (y \ x). L(x,y,L(z \ 1,z,u) \ 1) = L(x,y,z * a(u,z,z)). x \ (a(y,x,x) \ 1) = L(x \ 1,x,y). L(x \ L(x,x,y),z,u) * w = w * L(a(y,x,x) \ 1,z,u). L(a(x,y,y) \ 1,z,u) * w = w * L(y \ L(y,y,x),z,u). K(x,y) * (a(z,x,x) \ 1) = x \ L(T(x,y),x,z). (a(x,y,y) \ 1) * K(z,u) = y * L(y \ K(z,u),y,x). a(x,y,(z \ (u \ L(u,u,w))) * v5) = a(x,y,v5 * (z \ a(w,u,u))). a(x,y,z * ((z * u) \ u)) = a(x,y,a(u,z,z)). x * (L(x,y,y) \ y) = y * a(y,y,x). R(x,x,y) * L(z,a(x,x,y),x) = x * (a(x,x,y) * z). (a(x,x,y) \ (z * R(x,x,y))) \ (z * x) = a(z,x,a(x,x,y)). a(x,x,a(y,z,u)) * x = L(x,x,a(y,z,u)). (x \ a(x,x,a(y,z,u))) * x = (x \ 1) * L(x,x,a(y,z,u)). L(K(a(x,y,y),L(y,y,x)) * z,L(y,y,x),a(x,y,y)) = (y \ (L(y,y,x) * z)) * a(x,y,y). x \ (a(y,x \ 1,x) \ 1) = L(x \ 1,x \ 1,y). a(x,y,z * (u \ ((w \ 1) \ R(w,v5,v5)))) = a(x,y,z * (u \ a(w,v5,v5))). a(x,y,z * (u \ (w \ (v5 \ (w \ v5))))) = a(x,y,z * (u \ (w * (v5 \ (w \ v5))))). a(x,y,(z \ (u \ z)) * (w \ 1)) = a(x,y,w * ((u * z) \ z)). a(x,y,z * ((u \ (w * w)) \ v5)) = a(x,y,(u \ v5) * z). a(x,y,z \ (u * (w * ((v5 * v5) \ v6)))) = a(x,y,z \ (u * (w * v6))). a(x,y,z \ ((u \ L(u,u,w)) * v5)) = a(x,y,z \ (v5 * a(w,u,u))). a(x,y,z \ (L(u \ 1,w,v5) * v6)) = a(x,y,z \ (L(u,w,v5) * v6)). a(x,y,((z * u) \ (z * (w * u))) * (v5 * v5)) = a(x,y,L(w,u * (v5 * v5),z)). a(x,y,((z * z) * (T(u / (z \ 1),z) \ w)) \ v5) = a(x,y,((z \ u) \ w) \ v5). a(x,y,(((z * (u * u)) * w) \ v5) \ v6) = a(x,y,((w * z) \ v5) \ v6). a(x,y,(z \ (u \ L(u,w,v5))) \ v6) = a(x,y,(z \ (u * L(u,w,v5))) \ v6). a(x,y,z \ (u * ((w \ 1) * v5))) = a(x,y,z \ (u * (v5 * w))). a(x,y,((z * u) * (1 / w)) \ (z * (u * w))) = a(x,y,a(1 / w,u,z)). a(x,y,z \ (((u \ 1) * (L(1 / u,w,v5) \ 1)) * v6)) = a(x,y,z \ (v6 * (u \ L(u \ 1,w,v5)))). a(x,y,z \ (T((u * (w \ 1)) \ ((u * (w \ 1)) / v5),v5) * (u * w))) = a(x,y,z \ ((u * (w \ 1)) / T(v5,v5 \ 1))). a(x,y,z \ ((L(u,w \ 1,w) * 1) * v5)) = a(x,y,z \ (v5 * (u * a(w,w \ 1,u)))). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v6)) = a(x,y,L((z \ 1) * L(z,v5,v6),u,w)). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v5 \ 1)) = a(x,y,L(a(v5 \ 1,v5,z) \ 1,u,w)). a(x,(y \ 1) * z,((y \ 1) * z) * L((y \ 1) * z,u,w)) = a(x,z * y,(z * y) * L(z * y,u,w)). x \ L(x,y * z,a(y * z,z,y)) = a(x,y * z,y * (z * (y * z))). a(x,y,z \ ((u * z) \ z)) = a(x,y,R(u,z,z) \ z). a(x,y,R(z,u,u) \ w) = a(x,y,L(z,u,u) \ w). a(x,y,z \ (u \ L(w,(v5 \ v6) * (v5 * v5),(v5 \ 1) \ v6))) = a(x,y,z \ (u \ (((v5 \ v6) * (v5 * v5)) * (w * (v5 \ v6))))). a(x,y,z \ (u \ ((w * (v5 \ 1)) * v6))) = a(x,y,z \ (u \ (v6 * (w * v5)))). a(x,y,(z \ L(u,z,z)) * w) = a(x,y,(u * z) * w). a(x,y,z \ (L(R(u,u,w),v5,u) \ w)) = a(x,y,z \ (u * w)). a(x,y,L((((z \ 1) \ u) \ L((z \ 1) \ u,w,v5)) \ (z \ u),v6,v7)) = a(x,y,L(L(((z \ 1) \ u) \ 1,w,v5),v6,v7)). a(x,y,L((z / (u \ 1)) \ L(u,u,z),w,v5)) = a(x,y,L(((z / (u \ 1)) * z) \ (z / (u \ 1)),w,v5)). a(x,y,L(L(z,z,u) \ (u \ L(z,z,u)),w,v5)) = a(x,y,L(((z \ 1) \ u) \ L(z,z,u),w,v5)). L(x \ (y * L(y \ x,z,u)),w \ 1,w) = L(x \ (y * L(y \ x,z,u)),w,w). L(x * L(x \ 1,y,z),u \ 1,u) = L(x * L(x \ 1,y,z),u,u). a(x,y,z * ((T(z,u) * w) * w)) = a(x,y,a(w \ 1,w,z)). a(x,y,a(z,z \ 1,z \ u)) = a(x,y,(z * u) * ((z \ 1) \ u)). K(x \ 1,x) * ((L(x,y,z) \ u) \ (u * L(u \ (L(x,y,z) \ u),w,v5))) = L(L(x,y,z) \ 1,w,v5) * L(x,y,z). a(x,y,a(z,z,z \ u)) = a(x,y,(z * u) / (z \ u)). (1 / x) \ (y \ L(y,z,u)) = (y / x) \ L(y,z,u). (x / T(y,y \ 1)) \ L(x,z,u) = (y \ 1) \ (x \ L(x,z,u)). x \ ((y \ (x \ 1)) \ L(y \ (x \ 1),z,u)) = ((y \ x) / x) \ L(y \ (x \ 1),z,u). (x \ (y \ L(y,z,u))) \ L(y,z,u) = (x \ 1) \ y. L(x \ L(x,y,z),x,L(x,y,z) \ u) = L(x \ L(x,y,z),x,u). (a(x,x,y) \ 1) \ ((z / y) * L(y,x,x)) = L(a(x,x,y),y,z) * (a(x,x,y) \ z). L(L(x,y,z) \ x,x,u * x) = L(L(x,y,z) \ x,x,u). L(L(x,y,z) \ x,x,L(u,u,x)) = L(L(x,y,z) \ x,x,(u \ 1) \ x). (x / y) * (y * (L(y,z,u) \ y)) = x * L(L(y,z,u) \ y,y,x). L(L(x,y,z) \ x,x,x * u) = L(L(x,y,z) \ x,x,u). L(L(L(x,y,z) \ x,x,u),L(x,y,z),z * y) = L((z * (y * x)) \ ((z * y) * x),x,x \ u). L(L(x,y,z) \ x,x,u) * u = (u / x) * (x * (L(x,y,z) \ x)). L(L(x,y,z) \ x,x,(u / x) * L(x,w,v5)) = L(L(x,y,z) \ x,x,L(x,w,v5) * u). ((x \ 1) \ y) \ L((x \ 1) \ y,z,u) = (x \ y) \ L(x \ y,z,u). (x \ ((x / y) * L(y,z,u))) \ x = x * (((x / y) * L(y,z,u)) \ x). (x * y) \ (z \ ((x * y) * L(z,y,x))) = (z * (x * y)) \ (x * (y * z)). (x * L(x \ ((y * L(x,z,u)) / y),w,v5)) * y = x * (y * L((x * y) \ (y * L(x,z,u)),w,v5)). a(x,y,L(z,z,u) * L((u * z) \ u,w,v5)) = a(x,y,u \ ((z \ u) * L(z,w,v5))). (x * y) \ (1 / (y \ (x \ 1))) = a(x,y,y \ x) \ 1. ((x / y) * z) / (x * (y \ z)) = x \ (((x / y) * z) / (y \ z)). x \ (((x / y) * L(y,z,u)) / (y \ L(y,z,u))) = a(y,y \ L(y,z,u),y \ x). (x \ (((x / y) * z) / (y \ z))) * (x * (y \ z)) = (x / y) * z. ((L(x,y,y) \ z) * x) \ (a(y,y,x) * ((x \ z) * x)) = x \ ((a(y,y,x) * z) / (L(x,y,y) \ z)). (x * ((y * z) / y)) \ ((x * (y * z)) / y) = (x * z) \ ((x * (z * y)) / y). (x * y) \ ((x * (y * (z * K(x * y,z)))) / (z * K(x * y,z))) = T(x * y,z) \ (z \ ((x * y) * L(z,y,x))). a(x,y,(z * u) \ (w \ (z * (u * w)))) = a(x,y,a(w \ K(u,w \ 1),u,z)). L(x,y,a(z * (u * u),w,v5)) = L(x,y,(v5 * w) \ (z \ (v5 * (w * z)))). L(x,y,a(z \ K(u,w),v5,v6)) = L(x,y,a(z,v5,v6)). L((x \ y) * (y \ x),x \ y,y) = y \ (x / ((x \ y) \ 1)). 1 \ T((x \ 1) * (x * y),((z \ 1) * (z * u)) \ 1) = K(y,u \ 1) * ((x \ 1) * (x * y)). L(x,y,z) \ ((x \ L(x,u,w)) \ v5) = (x \ L(x,u,w)) \ (L(x,y,z) \ v5). x \ L(x,y \ L(y,z,u),L(y,z,u) \ y) = a(x,L(y,z,u) \ y,y * L(y,z,u)). L(L(x,y,z) \ x,u,w) \ L(x \ L(x,y,z),u,w) = L(x,y,z) * L(x \ 1,y,z). L(L(x,y,z) \ x,L(x,y,z) \ x,u) * u = (x \ L(x,y,z)) \ u. L(a(x,x,y \ L(y,z,u)),w,y) \ 1 = a(x,x,y * L(y,z,u)) \ 1. (x * (K(x,y) * (x \ y))) \ (y / x) = (x \ y) \ (x \ (x \ y)). (x / (L(y,x,y) * x)) * L(L(y,x,y) * x,z,u) = ((y \ x) / x) \ L(y \ x,z,u). (L(x,y,x) * y) * L(y \ (x \ y),z,u) = (x \ L(x,z,u)) * y. L(x,y,z * ((u * w) \ w)) = L(x,y,z * (w \ (u \ w))). a(x,y,z * ((u * L(u,w,v5)) * (v6 * u))) = a(x,y,z * (u * (v6 * (u \ L(u,w,v5))))). a(x,y,z * (u * L(w \ 1,v5,v6))) = a(x,y,z * (u * L(w,v5,v6))). a(x,y,z * (u * (w * (L(v5,v6,v7) \ v5)))) = a(x,y,z * (u * (w * (v5 \ L(v5,v6,v7))))). a(x,y,z * ((((u \ 1) * w) * v5) * v6)) = a(x,y,(v6 * (v5 * (w * u))) * z). a(x,y,z * (u \ (w * R(w,v5,v5)))) = a(x,y,z * (u \ a(w,v5,v5))). a(x,y,z * ((u * w) \ w)) = a(x,y,z * (w \ (u \ w))). a(x,y,((z \ (u * u)) \ w) * v5) = a(x,y,(z \ w) * v5). a(x,y,z \ (u * (w * (v5 * (v6 * (v7 \ 1)))))) = a(x,y,z \ (u * (w * (v5 * (v6 * v7))))). a(x,y,L(T(z,u),u,w) * (v5 * v5)) = a(x,y,L(z,u * (v5 * v5),w)). a(x,y,((z * (u \ 1)) \ w) \ v5) = a(x,y,((u * z) \ w) \ v5). a(x,y,((z * u) * (w \ 1)) \ (z * (u * w))) = a(x,y,a(1 / w,u,z)). a(x,y,z \ (T((u * (w \ 1)) \ ((u * (w \ 1)) / v5),v5) * (u * w))) = a(x,y,z \ (T(v5,v5 \ 1) \ (u * (w \ 1)))). a(x,y,z \ (u * (w * a(v5,v5 \ 1,w)))) = a(x,y,z \ (L(w,v5 \ 1,v5) * u)). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v6)) = a(x,y,L(z * L(z,v5,v6),u,w)). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v5 \ 1)) = a(x,y,L(a(v5 \ 1,v5,z),u,w)). ((x * y) \ z) / a(x,y,y) = (x * y) \ (a(x,y,y) \ z). a(x,y,z \ (z \ (u \ z))) = a(x,y,R(u,z,z) \ z). a(x,y,z \ (u \ L(w,(v5 \ v6) * (v5 * v5),(v5 \ 1) \ v6))) = a(x,y,z \ (u \ ((w * (v5 \ v6)) * (v5 \ v6)))). a(x,y,(z * L(z \ u,z,z)) * w) = a(x,y,((z * u) * z) * w). a(x,y,z \ (L(R(u,u,L(w,v5,v6)),v7,u) \ R(w,v5,v6))) = a(x,y,z \ (u * R(w,v5,v6))). ((x * (y \ x)) / (y * ((y \ x) * (y \ x)))) \ 1 = (y \ x) * (x \ y). L(x,x,y) * L(x \ a(y,x,x),z,u) = L(x \ L(x,z,u),x,y). x * (L(x,x,y) \ L(x \ L(x,x,y),z,u)) = a(y,x,x) \ L(a(y,x,x),z,u). (x * (1 / (y \ (y / z)))) / a(z \ y,z,z) = (x * (z * (a(z \ y,z,z) \ 1))) / (a(z \ y,z,z) \ 1). ((x \ (x / y)) \ 1) \ ((x \ (x / y)) \ ((x \ (x / y)) \ 1)) = (y * a(y \ x,y,y)) \ ((x \ (x / y)) \ (1 / (x \ (x / y)))). L(x,y \ (y / z),(y \ (y / z)) \ 1) * 1 = x * (((z * a(z \ y,z,z)) * ((y \ (y / z)) * x)) / x). (x * ((x * y) \ y)) * a(1 / ((x * y) \ y),x * ((x * y) \ y),x * ((x * y) \ y)) = 1 / (x \ (x / (x * ((x * y) \ y)))). a(x,x \ y,x \ y) * (x \ y) = 1 / (y \ x). (x \ y) * a(x,x \ y,(x \ y) \ 1) = 1 / (y \ x). x * ((y * x) \ y) = a(y,x,x) \ 1. a(x,y,y \ 1) \ 1 = y * ((x * y) \ x). L(x,y,z * ((z * u) \ u)) = L(x,y,a(u,z,z) \ 1). R(x,y,z * ((z * u) \ u)) = R(x,y,a(u,z,z) \ 1). a(x,y,(z * ((z * u) \ u)) * w) = a(x,y,(a(u,z,z) \ 1) * w). a(x,y,L(z * (u * ((u * w) \ w)),v5,v6)) = a(x,y,L(z * (a(w,u,u) \ 1),v5,v6)). a(x,y,(z * (u * ((u * w) \ w))) \ v5) = a(x,y,(z * (a(w,u,u) \ 1)) \ v5). a(x,y,y) \ K(y,z) = y \ L(T(y,z),y,x). x * L(x \ K(y,z),x,u) = a(u,x,x) \ K(y,z). L((x \ 1) \ L(x \ 1,x \ 1,y),z,u) * w = w * L(a(y,x \ 1,x) \ 1,z,u). a(x,y,(z \ (u * L(u,u,w))) * v5) = a(x,y,v5 * (z \ a(w,u,u))). L(K(a(x,y,y),L(y,y,x)) * z,L(y,y,x),a(x,y,y)) = ((z / y) * L(y,y,x)) * a(x,y,y). a(x,y \ 1,y) \ 1 = y \ L(y,y \ 1,x). a(x,y,L((((z \ 1) \ u) \ L((z \ 1) \ u,w,v5)) \ (z \ u),v6,v7)) = a(x,y,L(L((z \ 1) \ u,w,v5),v6,v7)). a(x,y,L((z / (u \ 1)) \ L(u,u,z),w,v5)) = a(x,y,L((((u \ 1) \ z) * z) \ ((u \ 1) \ z),w,v5)). a(x,y,L(L(z,z,L(u,u,z)),w,v5)) = a(x,y,L(((u \ 1) \ z) \ L(u,u,z),w,v5)). a(x,y,R(T(z,u),w,w) * z) = a(x,y,a(w \ 1,w,z)). a(x,y,a(z,z \ 1,z \ u)) = a(x,y,(z \ u) * (z * u)). K(x \ 1,x) * (L(x,y,z) * L(L(x,y,z) \ 1,u,w)) = L(L(x,y,z) \ 1,u,w) * L(x,y,z). L(L(x,y,z) \ 1,u,w) * L(x,y,z) = K(x \ 1,x) * L(x * L(x \ 1,u,w),y,z). L(K(x \ 1,x) * (x * L(x \ 1,y,z)),u,w) = L(L(x,u,w) \ 1,y,z) * L(x,u,w). L(x * (K(x \ 1,x) * L(x \ 1,y,z)),u,w) = L(L(x,u,w) \ 1,y,z) * L(x,u,w). L(x * L(T(x \ 1,x),y,z),u,w) = L(L(x,u,w) \ 1,y,z) * L(x,u,w). L(L(x,y,z) \ 1,u,w) * L(x,y,z) = L(L(x \ 1,u,w) * x,y,z). (L(x,y,z) \ 1) * L(L(x,y,z),u,w) = L(L(x \ 1,u,w) * x,y,z). (L(x,y,z) \ 1) * L(L(x,y,z),u,w) = L((x \ 1) * L(x,u,w),y,z). a(x,y,a(z,z,z \ u)) = a(x,y,(z \ u) \ (z * u)). (a(x,y,z) \ 1) \ (u \ L(u,w,v5)) = (a(x,y,z) \ u) \ L(u,w,v5). x \ (y \ ((x \ 1) * L((x \ 1) \ y,z,u))) = ((y \ x) / x) \ L(y \ (x \ 1),z,u). T((x / L(y,z,u)) * y,y \ L(y,z,u)) = L(y \ L(y,z,u),y,x) \ x. a(x * (1 / y),y,y) = a(y \ x,y,y). a((x \ (x \ 1)) \ ((1 / x) * y),x \ 1,x) = a((x \ 1) \ y,x \ 1,x \ 1). a(a(x,x,x \ y),L(x \ y,x,x),z) = a(y * (x \ 1),a(x,x,x \ y),z). x \ L(x,y * z,a(y * z,z,y)) = a(x,y * z,a(y,z,z)). a(x,y,((z \ 1) \ u) \ (z * u)) = a(x,y,a(u,z,z)). R(x,y,((z \ 1) / (u \ 1)) \ (u * z)) = L(x,y,a(z \ 1,u,u)). (x \ 1) \ (y * L(y \ (x \ 1),z,u)) = (x \ y) \ L(x \ y,z,u). L(x \ L(x,y,z),x,u) \ u = u * (((u / x) * L(x,y,z)) \ u). (x * (y * z)) \ (y * (z * x)) = (y * z) \ (x \ (y * (z * x))). (x * L(x \ L((y * x) / y,z,u),w,v5)) * y = x * (y * L((x * y) \ (y * L(x,z,u)),w,v5)). a(x,y,(z \ (u \ z)) * L((z * u) \ z,w,v5)) = a(x,y,z \ ((u \ z) * L(u,w,v5))). ((x / y) * (y * (L(y,z,u) \ y))) / (L(y,z,u) \ y) = ((L(y,z,u) \ y) \ x) * L(L(y,z,u) \ y,y,x). x * L(L(y \ 1,z,u) \ (y \ 1),y \ 1,x) = (x / (y \ 1)) * (L(y,z,u) \ 1). L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,u / x),L(x,y,z) \ x,(u / x) * x) = ((u / x) * x) \ ((u * L(L(x,y,z) \ x,x,u)) / (L(x,y,z) \ x)). L((x * (y * z)) \ ((x * y) * z),z,z \ u) = L((x * (y * z)) \ ((x * y) * z),z,u). L(L(x,y,z) \ x,x,(x \ u) * L(x,w,v5)) = L(L(x,y,z) \ x,x,L(x,w,v5) * u). (x \ y) \ ((((x \ y) / x) * y) / (x \ y)) = ((x \ y) / x) * (y / ((x \ y) * (x \ y))). x \ ((y \ L(y,z,u)) \ ((x / y) * L(y,z,u))) = a(y,y \ L(y,z,u),y \ x). a(x,y,a(z,(z * u) / z,w)) = a(x,y,(w * u) \ ((w * (u * z)) / z)). (x * y) \ ((x * (y * (z * K(x * y,z)))) / (z * K(x * y,z))) = T(x * y,z) \ (z \ (x * (y * z))). L(x,y,a(z * (u * u),w,v5)) = L(x,y,a(z,w,v5)). L(x,y,a(z \ 1,u,w)) = L(x,y,a(z,u,w)). 1 \ T((x \ 1) * (x * y),((z \ 1) * (z * y)) \ 1) = (x \ 1) * (x * ((y \ 1) \ 1)). L(x,y,z) \ (R(x \ L(x,u,w),x \ L(x,u,w),v5) * v5) = (x \ L(x,u,w)) \ (L(x,y,z) \ (((x \ L(x,u,w)) * (x \ L(x,u,w))) * v5)). a(x,L(y,z,u) \ y,y * L(y,z,u)) = a(x,y \ L(y,z,u),y * L(y,z,u)). (T(x,y) * (x \ y)) \ (y / x) = (x \ y) \ (x \ (x \ y)). (x / (x \ (y \ x))) * L(x \ (y \ x),z,u) = (y \ L(y,z,u)) * x. a(x,y,(z * u) * (u * (z * (u \ L(u,w,v5))))) = a(x,y,L(u * L(u,w,v5),z * u,z * u)). a(x,y,(z * (((u \ 1) * w) * v5)) * v6) = a(x,y,(z * (v5 * (w * u))) * v6). a(x,y,L(T(z,u),u,w)) = a(x,y,L(z,u * (v5 * v5),w)). a(x,y,((z * ((z \ 1) \ u)) \ w) \ v5) = a(x,y,(u \ w) \ v5). a(x,y,((z * u) * w) \ (z * (u * w))) = a(x,y,a(1 / w,u,z)). a(x,y,z \ (T((u * (w \ 1)) \ ((u * (w \ 1)) / v5),v5) * (u * w))) = a(x,y,z \ (T(v5,v5 \ 1) \ (u * w))). a(x,y,z \ (u \ L(w,(v5 \ v6) * (v5 * v5),(v5 \ 1) \ v6))) = a(x,y,z \ (u \ L(w,v5 \ v6,v5 \ v6))). a(x,y,(z * L(z \ u,z,z)) * w) = a(x,y,L(u,z,z) * w). a(x,y,L(((z \ 1) \ (u * L(u \ (z \ 1),w,v5))) \ (z \ u),v6,v7)) = a(x,y,L(L((z \ 1) \ u,w,v5),v6,v7)). a(x,y,L(L(z \ 1,z,(u \ 1) \ z),w,v5)) = a(x,y,L((z / (u \ 1)) \ L(u,u,z),w,v5)). a(x,y,a(z \ 1,z,u)) = a(x,y,u * R(u,z,z)). a(x,y,a(z \ u,z,u)) = a(x,y,a(z,z \ 1,z \ u)). a(x,y,y) \ ((x * y) \ z) = (x * y) \ (a(x,y,y) \ z). ((x * ((y \ x) \ 1)) / y) \ 1 = (y \ x) * (x \ y). R(x,y,z * ((z * u) \ u)) = R(x,y,a(u,z,z)). a(x,y,(z * ((z * u) \ u)) * w) = a(x,y,a(u,z,z) * w). a(x,y,(z * (u * ((u * w) \ w))) \ v5) = a(x,y,(z * a(w,u,u)) \ v5). a(x,y,L(z * (u * ((u * w) \ w)),v5,v6)) = a(x,y,L(z * a(w,u,u),v5,v6)). L(x,x,y) * (x \ L(a(y,x,x),z,u)) = a(y,x,x) \ L(a(y,x,x),z,u). ((x \ (x / y)) \ 1) \ ((x \ (x / y)) \ ((x \ (x / y)) \ 1)) = (y * a(y \ x,y,y)) \ ((x / y) \ (x * (1 / (x \ (x / y))))). (x * (a(y \ z,y,y) \ y)) / (a(y \ z,y,y) \ 1) = (x * (1 / (z \ (z / y)))) / a(y \ z,y,y). (x \ y) * (x \ (y * ((x \ y) \ 1))) = 1 / (y \ x). x * ((y * x) \ T(y,z)) = a(y,x,x) \ K(y,z). L(K(a(x,y,y),L(y,y,x)) * z,L(y,y,x),a(x,y,y)) = a(x,y,y) * ((z / y) * L(y,y,x)). L(x,x \ 1,y) \ x = a(y,x \ 1,x). a(x,y \ 1,y) \ y = L(y,y \ 1,x). ((x \ y) / y) \ L(x \ (y \ 1),z,u) = y \ (x \ (y * L(y \ x,z,u))). T(x * (L(x,y,z) \ u),x \ L(x,y,z)) = L(x \ L(x,y,z),x,u) \ u. a(x,y,a(z,z \ 1,z \ u)) = a(x,y,a(u,z,z)). (x \ 1) \ (y * L(y \ (x \ 1),z,u)) = x \ (y * L(y \ x,z,u)). L(x \ L(x,y,z),x,u) \ u = u * ((L(x,y,z) * (x \ u)) \ u). (((x * (y * z)) \ (z * (x * y))) * ((z * (x * y)) \ (x * (y * z)))) * (((x * (y * z)) \ (z * (x * y))) \ 1) = (x * y) \ (z \ (x * (y * z))). x * (y * L((x * y) \ (y * L(x,z,u)),w,v5)) = (x * L(T(x,y) \ L(x,z,u),w,v5)) * y. (x \ L(x,y,z)) \ ((u / x) * (x * (x \ L(x,y,z)))) = ((L(x,y,z) \ x) \ u) * L(L(x,y,z) \ x,x,u). L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,x \ u),L(x,y,z) \ x,(u / x) * x) = ((u / x) * x) \ ((u * L(L(x,y,z) \ x,x,u)) / (L(x,y,z) \ x)). L((x * (y * z)) \ ((x * y) * z),z,z \ u) = L(a(x,y,z),z,u). (x \ y) \ ((((x \ y) / x) * y) / (x \ y)) = ((x \ y) / x) * (x * ((x \ y) \ 1)). T(x * y,z) \ (z \ (x * (y * z))) = (x * y) \ ((x * (y * z)) / z). a(x,y,a(z,(z * u) / z,w)) = a(x,y,(w * u) \ (z \ (w * (u * z)))). L(x,y,a((z * z) * u,w,v5)) = L(x,y,a(u,w,v5)). 1 \ ((((x \ 1) * (x * y)) \ 1) \ 1) = (x \ 1) * (x * ((y \ 1) \ 1)). (x \ y) \ (x \ (x \ y)) = (y * K(x,y)) \ (y / x). a(x,y,L(z,u * (w * w),v5)) = a(x,y,L(z,u,v5)). a(x,y,L(((z \ 1) \ u) \ w,(z \ 1) \ u,z) \ v5) = a(x,y,(u \ (z * w)) \ v5). a(x \ (K(y,z) * u),w,v5) = a(x \ u,w,v5). R(x,y,z \ (K(u,w) * v5)) = R(x,y,z \ v5). a(x,y,z * L(u \ (K(w,v5) * v6),v7,v8)) = a(x,y,z * L(u \ v6,v7,v8)). a(x,y,(z \ (K(u,w) * v5)) * v6) = a(x,y,(z \ v5) * v6). a(x \ (y * (K(z,u) * w)),v5,v6) = a(x \ (y * w),v5,v6). a(x,y,z \ (u * (w * (K(v5,v6) * v7)))) = a(x,y,z \ ((w * v7) * u)). a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,(v5 * z) \ v6). a(x,y,(z * (T(u,w) \ v5)) \ v6) = a(x,y,(z * (u \ v5)) \ v6). a(((T(x,y) \ z) * u) * w,v5,v6) = a(w * ((x \ z) * u),v5,v6). a(x * ((y \ (y * (z \ y))) \ z),u,w) = a(x * (z * (y \ z)),u,w). K(x,y) * (z \ T(y,T(x,z))) = z \ y. (x * y) * (x \ (y \ x)) = x * K(x * y,y). R(x,y,((z * u) * w) \ v5) = R(x,y,((u * z) * w) \ v5). R(x,y,(z * K(u,w)) \ v5) = R(x,y,z \ v5). R(x,y,(z \ K(u,w)) \ v5) = R(x,y,(z \ 1) \ v5). R(x,y,(z \ K(u,w)) \ v5) = R(x,y,z \ v5). R(x,y \ K(z,u),y \ w) * w = (x * (y \ K(z,u))) * ((y \ K(z,u)) \ w). a(x \ (K(y,z) * (u * w)),v5,v6) = a(x \ (w * u),v5,v6). 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 * K(y,z)) \ u,w,v5) = a(x \ u,w,v5). a((x \ (y * z)) \ u,w,v5) = a((x \ (z * y)) \ u,w,v5). a((x \ T(y,z)) \ u,w,v5) = a((x \ y) \ u,w,v5). a((x \ (y / z)) \ u,w,v5) = a((x \ (z \ y)) \ u,w,v5). a((x \ (K(y,z) * u)) \ w,v5,v6) = a((x \ u) \ w,v5,v6). a(((x * y) \ ((z * y) * x)) \ u,w,v5) = a(L(T(z,y),y,x) \ u,w,v5). a(((x * y) \ ((z * y) * x)) \ u,w,v5) = a(L(z,y,x) \ u,w,v5). a((x \ (K(y,z) * u)) \ w,v5,v6) = a((u / x) \ w,v5,v6). a(x,y,z * L((u \ K(w,v5)) * (v6 * v6),v7,v8)) = a(x,y,z * L(u \ (v6 * v6),v7,v8)). a(x \ (y * (z * (T(u,w) * v5))),v6,v7) = a(x \ (y * (z * (u * v5))),v6,v7). a(x,y,z \ ((u * (K(w,v5) * v6)) * v7)) = a(x,y,z \ ((u * v6) * v7)). a(x,y,z \ ((u * (T(w,v5) \ v6)) * v7)) = a(x,y,z \ (v7 * (u * (w \ v6)))). a(x,y,z \ ((u * (w / v5)) * v6)) = a(x,y,z \ ((u * (v5 \ w)) * v6)). L(x,y,z \ (u * (w * T(v5,v6)))) = L(x,y,z \ ((w * v5) * u)). a(x,y,((z * z) * ((u / (z \ 1)) \ w)) \ v5) = a(x,y,((z \ u) \ w) \ v5). R(x,y,((z * u) * w) \ v5) = R(x,y,(w * (u * z)) \ v5). a((x / (y * z)) \ u,w,v5) = a(((z * y) \ x) \ u,w,v5). a((x * y) \ ((x * z) * y),u,w) = a(L(z,x,y),u,w). a((x \ (x \ 1)) \ ((x \ 1) * y),x \ 1,x) = a((x \ 1) \ y,x \ 1,x \ 1). a(x,y,z * L(u \ K(w,v5),v6,v7)) = a(x,y,z * L(u \ (v8 * v8),v6,v7)). a(x,y,z) \ ((u \ w) * u) = (u \ (a(x,y,z) \ w)) * u. x * T(y * (a(z,u,w) \ 1),x) = y * ((x * ((a(z,u,w) \ 1) * y)) / y). a(x \ (L(y,x \ (z * (T(u,w) * v5)),x) * (z * (u * v5))),v6,v7) = a((x \ (z * (T(u,w) * v5))) * T(y,z * (T(u,w) * v5)),v6,v7). R(x,y,((z * u) * w) \ ((w * u) * z)) = R(x,y,a(w,u,z)). a(((x * y) \ ((z * y) * x)) \ u,w,v5) = a(R(z,y,x) \ u,w,v5). L(x,y,z \ T(u / (T(w,v5) \ 1),T(w,v5))) = L(x,y,z \ ((T(w,v5) * w) * (T(w,v5) \ u))). a(x * ((y \ z) \ y),u,w) = a(x * (y * (z \ y)),u,w). a(x \ (L(y,x \ (z * (T(u,w) * v5)),x) * (z * (u * v5))),v6,v7) = a((x \ (z * (T(u,w) * v5))) * y,v6,v7). R(x,y,((z * u) * w) \ (z * (w * u))) = R(x,y,a(w,u,z)). a(R(x,y,z) \ u,w,v5) = a(L(x,y,z) \ u,w,v5). a(x,y,((z * (u / w)) * v5) \ ((v5 * (w \ u)) * z)) = a(x,y,a(v5,u / w,z)). a(x,y,z \ (((u * (1 / (w / v5))) * (v5 \ w)) * v6)) = a(x,y,z \ (R(u,(w / v5) \ 1,w / v5) * v6)). L(x,y,z \ ((T(u,w) * u) * (T(u,w) \ v5))) = L(x,y,z \ (v5 / (T(u,w) \ 1))). R(x,y,((z * u) * w) \ (z * (w * u))) = L(x,y,a(w,u,z)). R(x,y,(z * u) \ (w \ (z * (u * w)))) = R(x,y,a(w,u,z)). a(R(x,y,y) \ x,z,u) = a(a(y,y,x),z,u). a(x,y,((z / (u \ 1)) \ w) \ v5) = a(x,y,((u \ z) \ w) \ v5). a(x,y,((z * (u / T(w,v5))) * v6) \ (z * (v6 * (w \ u)))) = a(x,y,a(v6,u / T(w,v5),z)). a(x,y,z \ (((u * (1 / (w / v5))) * (v5 \ w)) * v6)) = a(x,y,z \ (R(u,(w / v5) \ 1,v5 \ w) * v6)). L(x,y,z \ ((T(u,w) * u) * (T(u,w) \ v5))) = L(x,y,z \ ((T(u,w) \ 1) \ v5)). R(x,y,(z * u) \ (w \ (z * (u * w)))) = L(x,y,a(w,u,z)). a(x,y,z * L(u \ (w * w),v5,v6)) = a(x,y,L(u,v5,v6) * z). a(x,y,(L(z,z,u) \ w) * L(L(z,z,u) \ w,L(z,z,u),u)) = a(x,y,((z \ u) \ (u * w)) \ (L(z,z,u) \ w)). a(x,y,((z * (u / T(w * w,v5))) * v6) \ (z * (v6 * u))) = a(x,y,a(v6,u / T(w * w,v5),z)). a(x,y,L(z \ (u * u),w,v5) * v6) = a(x,y,L(z,w,v5) * v6). a(x,y,L(L(z,u,w) \ z,v5,v6) * v7) = a(x,y,L(z * L(z,u,w),v5,v6) * v7). x * (y * K(x \ 1,y * x)) = L(y / (x \ 1),x \ 1,x). a(x,y,z \ (u * ((w * K(v5 \ 1,w * v5)) * v5))) = a(x,y,z \ (L(w / (v5 \ 1),v5 \ 1,v5) * u)). a(x,y,z \ (T((u * (w \ 1)) \ ((u * (w \ 1)) / v5),v5) * (u * w))) = a(x,y,z \ (v5 \ (u * w))). a(x,y,L(L(z \ 1,z,u \ z),w,v5)) = a(x,y,L((z / (u \ 1)) \ L(u,u,z),w,v5)). a(x,y,a(z \ 1,z,u)) = a(x,y,a(u,z,z)). x * (y * R(L(x,z,u) \ x,x,y)) = (x * (L(x,z,u) \ x)) * y. L(x \ L(x,y,z),x,u) \ u = x * (L(x,y,z) \ u). (x * (L(x,y,y) \ z)) \ (z * a(y,y,x)) = a(z,a(y,y,x),L(x,y,y)). ((R(x,y,y) * (L(y,y,x) * z)) / z) \ (x * y) = a(L(x,y,y),L(y,y,x),z). (x * (L(x,x,y) \ z)) \ (z * a(y,x,x)) = a(z,a(y,x,x),L(x,x,y)). T((x * y) * ((x / (y \ 1)) \ 1),x * y) = R(a(x,y,y),x / (y \ 1),y \ x). a(x,y,a(z \ u,z,u)) = a(x,y,a(u,z,z)). a(x \ y,z,a(y,x,x)) = 1. a(x,y,L((z \ (u * L(u \ z,w,v5))) \ (z \ u),v6,v7)) = a(x,y,L(L((z \ 1) \ u,w,v5),v6,v7)). L(R(x,y,z) \ L(R(x,y,z),u,w),R(x,y,z),x) \ x = x * ((L(R(x,y,z),u,w) * (R(T(x,v5),y,z) \ T(x,v5))) \ x). ((a(x,y,z) * K(z,x * y)) * ((z * (x * y)) \ (x * (y * z)))) * (((x * (y * z)) \ (z * (x * y))) \ 1) = (x * y) \ (z \ (x * (y * z))). x * (y * L(y \ (x \ (y * L(x,z,u))),w,v5)) = (x * L(T(x,y) \ L(x,z,u),w,v5)) * y. ((L(x,y,z) \ x) \ u) * L(L(x,y,z) \ x,x,u) = (x \ L(x,y,z)) \ ((u / x) * L(x,y,z)). L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,u),L(x,y,z) \ x,(u / x) * x) = ((u / x) * x) \ ((u * L(L(x,y,z) \ x,x,u)) / (L(x,y,z) \ x)). L(a(x,y,z),z,z \ u) = L(a(x,y,z),z,u). (x \ y) \ ((((x \ y) / x) * y) / (x \ y)) = a(x \ (x \ y),x,x \ y) \ 1. L(x,y,a(z \ L(z,u,w),v5,v6)) = L(x,y,a(z * L(z,u,w),v5,v6)). (((x \ 1) * (x * y)) \ 1) \ 1 = (x \ 1) * (x * ((y \ 1) \ 1)). a(x,y,L(z,u \ 1,w)) = a(x,y,L(z,u,w)). a(x,y,(L(z,z,u) \ w) * ((u / (z \ 1)) \ (u * w))) = a(x,y,((z \ u) \ (u * w)) \ (L(z,z,u) \ w)). (x \ (y * ((x \ y) \ 1))) \ 1 = (x \ y) * (y \ x). R(x,y,z * ((z * u) \ u)) = L(x,y,a(u,z,z)). a(x,y,((z * ((z * u) \ u)) * w) \ v5) = a(x,y,(w * a(u,z,z)) \ v5). a(x,y,L((z * ((z * u) \ u)) * w,v5,v6)) = a(x,y,L(w * a(u,z,z),v5,v6)). (x * L(y,y,y \ z)) / (a(y \ z,y,y) \ 1) = (x * (1 / (z \ (z / y)))) / a(y \ z,y,y). (x * a(x \ y,x,x)) \ ((y / x) \ (y * (1 / (y \ (y / x))))) = 1 / (y \ (y / x)). a(x,y,y) \ K(x,y) = y * ((y * x) \ x). a(x,y,y) * ((z / y) * L(y,y,x)) = L(z,L(y,y,x),a(x,y,y)). (L(a(x,y,z),u,w) * v5) * T(v6,(a(x,y,z) \ v5) * L(a(x,y,z),u,w)) = v6 * (((v5 / a(x,y,z)) * L(a(x,y,z),u,w)) * a(x,y,z)). L(a(x,y,y),z,y \ x) = a(x,y,y). L(1 / x,x \ 1,y) = y \ (y / x). a(x,L(y \ 1,y,z) \ 1,u) = a(x,y * a(z,y,y),u). L(1 / x,x \ 1,y) * K(y / x,z) = y \ T(y / x,z). L(1 / (x \ y),(x \ y) \ 1,y) = y \ x. L((1 / x) * K(y / x,z),x \ 1,y) = y \ T(y / x,z). (x \ (a(y,z,x) \ 1)) * x = (x \ 1) * (a(y,z,x) \ x). a(a(x,y,z) \ u,a(x,y,z) \ u,a(x,y,z)) = (a(x,y,z) \ u) * (u \ a(x,y,z)). x * (L(x,x,a(y,z,u)) \ x) = a(x,x,a(y,z,u)) \ x. a(a(x,y,z),u,u) \ 1 = a(u,u,a(x,y,z)). L(x \ L(x,L(x,y,z),a(u,w,v5)),y,z) = a(L(x,y,z),L(x,y,z),a(u,w,v5)). L(x,x,a(y,z,u)) * L(x \ 1,w,v5) = a(x,x,a(y,z,u)) * (x \ L(x,w,v5)). L(L(a(x,x,a(y,z,u)),w,v5),L(x,w,v5),x * a(y,z,u)) = a(x,L(x,w,v5),a(y,z,u)). a(x,y,L(L(z,z,u \ z),w,v5)) = a(x,y,L((z / (u \ 1)) \ L(u,u,z),w,v5)). R(a(x,y,z) \ 1,u,w) = L(a(x,y,z) \ 1,u,w). a(((x \ 1) * y) * (x * x),x \ 1,x) = a((x \ 1) \ y,x \ 1,x \ 1). x * ((L(y,z,u) * (y \ x)) \ x) = y * (L(y,z,u) \ x). (L(x,y,z) * (x \ u)) \ u = u \ (x * (L(x,y,z) \ u)). ((x / y) * L(y,z,u)) \ x = x \ (y * (L(y,z,u) \ x)). L((x \ R(x,y,z)) \ a(x,y,z),x \ R(x,y,z),u) \ u = (x \ R(x,y,z)) * (L(x \ R(x,y,z),x,z * y) \ u). L((x * y) \ L(x * y,z,u),y * x,w) \ w = (y * x) * (L(y * x,z,u) \ w). L(x \ R(x,y,z),x,y) = a(L(x,y,z),y,z). (x * y) / ((R(x,y,y) * (L(y,y,x) * z)) / z) = a(L(x,y,y),L(y,y,x),z). a(x,y,a(R(z,u,u),z * u,z * u)) = a(x,y,a(u \ 1,z * u,R(z,u,u))). a(x,y,L(L(1 / (z \ u),w,v5) \ 1,v6,v7)) = a(x,y,L(L((z \ 1) \ u,w,v5),v6,v7)). ((a(x,y,z) * K(z,x * y)) * ((x * y) \ (z \ (x * (y * z))))) * (((x * (y * z)) \ (z * (x * y))) \ 1) = (x * y) \ (z \ (x * (y * z))). (x * L(T(x,y) \ L(x,z,u),w,v5)) * y = y * (x * L(x \ L(x,z,u),w,v5)). (x * L(L(y,z,u) \ y,y,x)) / (L(y,z,u) \ y) = (y \ L(y,z,u)) \ ((x / y) * L(y,z,u)). L(L(x,y,z) \ (x * L(x \ L(x,y,z),x,u)),L(x,y,z) \ x,(u / x) * x) = ((u / x) * x) \ ((u * L(L(x,y,z) \ x,x,u)) / (L(x,y,z) \ x)). L(a(x,y,z \ u),z \ u,u \ (z \ u)) = L(a(x,y,z \ u),z \ u,z \ (z \ u)). L(a(x,y,z \ u),z \ u,u) = L(a(x,y,z \ u),z \ u,z). L(a(x,y,z),z,u * z) = L(a(x,y,z),z,u). L(a(x,y,z),z,u) * u = (u / z) * (z * a(x,y,z)). L(a(x,y,z),z,L(u \ 1,u,u \ z)) = L(a(x,y,z),z,z / u). a(x,y,z) * (L(a(x,y,z),z,u) \ u) = u * a(z \ u,z,a(x,y,z)). x * (y \ (a(z,z,y) \ L(y,z,z))) = (a(z,z,y) * a(z,z,y)) \ x. L((a(x,y,x) / z) * (a(x,y,x) \ u),w,a(a(x,y,x) / z,a(x,y,x) / z,a(x,y,x) \ u)) = (1 / z) * u. L(x * (a(y,y,x) * a(y,y,x)),y,y) = a(y,y,x) * x. (x * ((a(y,z,u) * a(w,v5,v6)) * v7)) / ((x * v7) * (a(y,z,u) * a(w,v5,v6))) = a(a(w,v5,v6) * a(y,z,u),v7,x). R(x,y,(z * u) \ (w \ (u * (z * w)))) = L(x,y,a(w,z,u)). R(x,y,(z * (u * w)) \ (u * (z * w))) = L(x,y,a(z,w,u)). R(x,y,((z \ 1) / (u \ 1)) \ (u * z)) = L(x,y,a(z,u,u)). R(x,y,z * R(z,u,u)) = L(x,y,a(u * z,u,z)). x * (L(x,x,a(y,y,z)) \ x) = a(x,x,a(z,y,y)) \ x. a(x,x,a(y,z,u)) \ x = x * a(a(y,z,u),x,x). a(x,x,a(y,z,u)) \ 1 = a(a(y,z,u),x,x). a(x,x,a(y,z,u)) * (a(a(y,z,u),x,x) * a(a(y,z,u),x,x)) = a(a(y,z,u),x,x). a(x,x,a(y,z,u)) \ a(a(y,z,u),x,x) = a(a(y,z,u),x,x) * a(a(y,z,u),x,x). L(x,x,a(y,y,z)) * L(x \ 1,u,w) = a(x,x,a(z,y,y)) * (x \ L(x,u,w)). (a(x,y,z) \ (u \ a(x,y,z))) \ a(x,y,z) = ((u * a(x,y,z)) \ 1) \ 1. x * (a(y,z,u) \ (x \ a(y,z,u))) = a(a(y,z,u),x,x) \ 1. a(x,y,z) * ((u \ a(x,y,z)) \ a(x,y,z)) = ((u * a(x,y,z)) \ 1) \ 1. x * (a(y,z,u) \ (x \ a(y,z,u))) = a(x,x,a(y,z,u)). ((x \ R(x,y,z)) \ u) * ((x \ R(x,y,z)) * ((x \ R(x,y,z)) \ u)) = u * ((x \ R(x,y,z)) \ u). ((x \ R(x,y,z)) * (u \ K(u * (x \ R(x,y,z)),u \ 1))) \ (x \ R(x,y,z)) = (x \ R(x,y,z)) \ ((x \ R(x,y,z)) / (u \ 1)). ((x \ R(x,y,z)) \ u) * u = u * ((x \ R(x,y,z)) \ u). ((x \ R(x,y,z)) * (u \ K(u,u \ 1))) \ (x \ R(x,y,z)) = (x \ R(x,y,z)) \ ((x \ R(x,y,z)) / (u \ 1)). L(a(x,y,z) \ 1,u,w * (v5 \ 1)) = R(a(x,y,z) \ 1,u,w * v5). L(a(x,y,z) \ 1,u,w \ 1) = R(a(x,y,z) \ 1,u,w). x * (L(x,x,a(y,y,z)) \ x) = x * a(a(z,y,y),x,x). a(x,y,z) \ L(a(x,y,z),u,u) = a(a(x,y,z),u,u). L(x,x,a(y,z,z)) = L(x,x,a(z,z,y)). ((x \ R(x,y,z)) * (1 / u)) \ (x \ R(x,y,z)) = (x \ R(x,y,z)) \ ((x \ R(x,y,z)) / (u \ 1)). x * a(a(y,z,z),x,x) = x * a(a(z,z,y),x,x). (x \ R(x,y,z)) \ ((x \ R(x,y,z)) / (u \ 1)) = (x \ R(x,y,z)) \ ((1 / u) \ (x \ R(x,y,z))). a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,u,w)). a(x,y,L(L(z,u \ 1,w),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)). a(x,y,(L(z,z,u) \ w) * (((z \ 1) \ u) \ (u * w))) = a(x,y,((z \ u) \ (u * w)) \ (L(z,z,u) \ w)). a(x,y,L(L(z,z,u \ z),w,v5)) = a(x,y,L(((u \ 1) \ z) \ L(u,u,z),w,v5)). (L(x,y,z) \ u) * ((x \ u) \ (L(x,y,z) \ u)) = x * (L(x,y,z) \ (L(x,y,z) \ u)). x \ ((x \ (y \ x)) * (L(x \ (y \ x),z,u) \ x)) = ((y \ L(y,z,u)) * x) \ x. a(x,y,a(R(z,u,u),z * u,z * u)) = a(x,y,a(u \ 1,z * u,L(z,u,u))). a(x,y,L(L(1 / (z \ u),w,v5),v6,v7)) = a(x,y,L(L((z \ 1) \ u,w,v5),v6,v7)). a(x,y,z) \ ((u / z) * (z * a(x,y,z))) = L(a(x,y,z),z,u) * (a(x,y,z) \ u). L(a(x,y,z),z,L(u \ 1,u,z)) = L(a(x,y,z),z,z / u). L(x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)),L(x,y,z) \ x,(u / x) * x) = ((u / x) * x) \ ((u * L(L(x,y,z) \ x,x,u)) / (L(x,y,z) \ x)). (a(x,x,y) * a(x,x,y)) \ a(x,x,L(y,z,u)) = L(a(x,x,y),z,u) \ 1. L((1 / x) * y,z,a(a(u,w,u) / x,a(u,w,u) / x,a(u,w,u) \ y)) = (1 / x) * y. (a(x,y,z) * u) \ (w \ (a(x,y,z) * (w * u))) = a(w,u,a(x,y,z)). (a(x,y,z) * (u \ (a(x,y,z) \ w))) \ (u \ w) = a(u,u \ (a(x,y,z) \ w),a(x,y,z)). (a(x,y,z) * (u \ w)) \ (u \ (w * a(x,y,z))) = a(u,u \ w,a(x,y,z)). (a(x,y,z) * (u \ (w * ((v5 * a(x,y,z)) / v5)))) \ (u \ ((w * a(x,y,z)) * ((v5 * a(x,y,z)) / v5))) = a(u,u \ (w * ((v5 * a(x,y,z)) / v5)),a(x,y,z)). (a(x,y,z) * (u \ (w * a(x,y,z)))) \ (u \ ((w * a(x,y,z)) * ((v5 * a(x,y,z)) / v5))) = a(u,u \ (w * ((v5 * a(x,y,z)) / v5)),a(x,y,z)). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = (a(u,w,v5) * (x \ (y * a(u,w,v5)))) \ (x \ ((y * a(u,w,v5)) * a(u,w,v5))). a(x,y,(z * (a(u,u,w) * w)) * v5) = a(x,y,(z * L(w,u,u)) * v5). L(x,y,a(z,y,x)) \ ((x * (y * z)) / z) = y * (((x * (y * z)) / z) / (x * y)). R(x,y,((z * (u * (w * (v5 * v5)))) \ (u * (z * w))) * (v5 * v5)) = L(x,y,a(z,w * (v5 * v5),u)). R(x,y,((z \ 1) \ (u \ 1)) \ (z * u)) = L(x,y,a(u,z,z)). (x * a(y,z,u)) \ ((a(y,z,u) * (x * w)) / w) = a(w \ 1,x,a(y,z,u)). (x * (y * (a(z,u,w) \ 1))) / (T(x,y) * (a(z,u,w) \ 1)) = R(y,a(z,u,w) \ 1,x). ((x * a(y,z,u)) \ 1) \ 1 = a(y,z,u) * ((x \ 1) \ 1). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = (a(u,w,v5) * (x \ (y * a(u,w,v5)))) \ (x \ (a(u,w,v5) * (y * a(u,w,v5)))). L((1 / x) * y,z,a(a(u,w,u) / x,a(u,w,u) / x,y)) = (1 / x) * y. (x \ (a(y,x,L(x,z,u)) \ 1)) * x = (x \ 1) * (a(y,L(x,z,u),x) \ x). L(a(x,y,z) \ 1,u,w * (v5 \ 1)) = L(a(x,y,z) \ 1,u,w * v5). L(a(x,y,z) \ 1,u,w \ 1) = L(a(x,y,z) \ 1,u,w). a(a(x,y,z) \ u,a(x,y,z),(a(x,y,z) \ 1) \ w) = ((a(x,y,z) \ w) \ (w * (a(x,y,z) \ u))) \ u. (x * (a(y,z,u) \ w)) \ ((a(y,z,u) \ x) * w) = x \ ((a(y,z,u) \ w) \ (w * (a(y,z,u) \ x))). (x \ (a(y,x,L(x,z,u)) \ 1)) * x = (x \ 1) * (a(y,x,L(x,z,u)) \ x). R(x,y,z * (u \ (z \ u))) = L(x,y,a(u,z,z)). R(x,y,z * (u \ (z \ u))) = L(x,y,a(z \ u,z,z)). (a(x \ y,x,x) \ 1) \ (z * L(x,x,x \ y)) = (z * (1 / (y \ (y / x)))) / a(x \ y,x,x). L(a(x,y,z * u),w,z \ u) = a(x,y,z * u). a((x \ 1) * (y * (x * x)),x \ 1,x) = a((x \ 1) \ y,x \ 1,x \ 1). (x \ y) \ (L(x,z,u) \ y) = y \ (x * (L(x,z,u) \ y)). x \ ((x \ (y \ x)) * (L(x \ (y \ x),z,u) \ x)) = x \ ((y \ L(y,z,u)) \ x). a(x,y,L(L((z \ 1) \ u,w,v5),v6,v7)) = a(x,y,L(L((z \ u) \ 1,w,v5),v6,v7)). L(x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)),L(x,y,z) \ x,u) = ((u / x) * x) \ ((u * L(L(x,y,z) \ x,x,u)) / (L(x,y,z) \ x)). L(x,y,a(z \ u,z,z)) = L(x,y,a(u,z,z)). (x \ (y * (L(y,z,u) \ x))) * (y \ x) = L(y,z,u) \ x. a(x,y,L(L((z \ 1) \ u,w,v5),v6,v7)) = a(x,y,L(L(z \ u,w,v5),v6,v7)). L(x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)),L(x,y,z) \ x,u) = u \ ((u * L(L(x,y,z) \ x,x,u)) / (L(x,y,z) \ x)). 1 / L(a(x,y,z) \ 1,u,u * (a(x,y,z) \ 1)) = (1 / (u * (a(x,y,z) \ 1))) * u. a(x \ y,x,x) \ (z * (1 / (y \ (y / x)))) = (a(x \ y,x,x) \ 1) \ (z * L(x,x,x \ y)). R(x,y,((z \ 1) \ u) \ (z * u)) = L(x,y,a(u,z,z)). x * (((y * (x * z)) / z) / (y * x)) = y \ ((y * (x * z)) / z). R(x,y,(z * (u * (w * (v5 * v5)))) \ (u * (z * w))) = L(x,y,a(z,w * (v5 * v5),u)). a(x \ 1,y,a(z,u,w)) = a(x,y,a(z,u,w)). L(x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)),L(x,y,z) \ x,u) = u \ ((x \ L(x,y,z)) \ ((u / x) * L(x,y,z))). (x * (y * (a(z,u,w) \ 1))) / T(x * (a(z,u,w) \ 1),y) = R(y,a(z,u,w) \ 1,x). x * ((y * ((a(z,u,w) \ 1) * x)) / x) = (x * (a(z,u,w) \ 1)) * y. x * ((y * x) \ ((y * (x * z)) / z)) = y \ ((y * (x * z)) / z). R(x,y,(z * (u * w)) \ (u * (z * w))) = L(x,y,a(z,w * (v5 * v5),u)). R(x,a(y,z,u) \ 1,w) = L(x,a(y,z,u) \ 1,w). L(x,a(y,z,u) \ 1,w) * ((a(y,z,u) \ 1) * w) = (x * (a(y,z,u) \ 1)) * w. a(L(x,y,y) \ z,a(y,y,x),L(x,y,y)) = ((x * (L(x,y,y) \ z)) / a(y,y,x)) \ z. (x * y) \ ((x * (y * z)) / z) = y \ (x \ ((x * (y * z)) / z)). L(x,y,a(z,u * (w * w),v5)) = L(x,y,a(z,u,v5)). 1 / L(a(x,y,z) \ 1,u,u * a(x,y,z)) = (1 / (u * (a(x,y,z) \ 1))) * u. R(x,a(y,z,u) \ 1,w) = L(x,a(y,z,u),w). L(x,a(y,z,u),w) * ((a(y,z,u) \ 1) * w) = (x * (a(y,z,u) \ 1)) * w. a(L(x,y,y) \ z,a(y,y,x),L(x,y,y)) = (a(y,y,x) \ (x * (L(x,y,y) \ z))) \ z. x * (R(x,x,y) \ (a(z,u,x) * y)) = L(a(z,u,x) * y,x,x). L(a(x,y,z) \ 1,u,u * a(x,y,z)) \ 1 = (1 / (u * (a(x,y,z) \ 1))) * u. ((x * y) * z) \ (x * (y * z)) = y \ (x \ ((x * (y * z)) / z)). (x * y) \ ((z \ L(z,u,w)) \ (x * (y * (z \ L(z,u,w))))) = y \ (x \ ((x * (y * (L(z,u,w) \ z))) / (L(z,u,w) \ z))). R(x,y,(z * u) \ (w \ (z * (u * w)))) = R(x,y,u \ (z \ ((z * (u * w)) / w))). (x \ (y \ ((y * (x * z)) / z))) \ L(z \ L(z,x,y),z,y * x) = 1. L(L(x \ L(x,y,z),u,w),x,z * y) = L(y \ (z \ ((z * (y * x)) / x)),u,w). L(K(x,y) * (z \ L(z,u,w)),z,w * u) = K(x,y) * (u \ (w \ ((w * (u * z)) / z))). (x * ((y \ (z \ ((z * (y * x)) / x))) \ 1)) \ x = L(x \ L(x,y,z),x,z * y). L(x,y,a(z,u \ 1,w)) = L(x,y,a(z,u,w)). a(L(x,y,y) \ z,a(y,y,x),L(x,y,y)) = (x * (a(y,y,x) \ (L(x,y,y) \ z))) \ z. L(a(x,y,z) \ 1,u,u * a(x,y,z)) \ 1 = u * (((a(x,y,z) \ 1) * u) \ 1). a(x,y,z \ (u \ ((u * (z * w)) / w))) = a(x,y,a(1 / w,z,u)). R(x,y,(z * u) \ (w \ (z * (u * w)))) = R(x,y,u \ (z \ (w \ (z * (u * w))))). R(x,x,y \ (z \ ((z * (y * u)) / u))) \ (y \ (z \ ((z * (y * u)) / u))) = x \ L(L(u \ L(u,y,z),x,x),u,z * y). x \ L(L(y \ L(y,z,u),x \ 1,x),y,u * z) = (x \ 1) * (z \ (u \ ((u * (z * y)) / y))). L(K(x,y) * (z \ L(z,y,u)),z,u * y) = T(y,x) \ (u \ ((u * (y * z)) / z)). a(x,y,(z * ((u \ (w \ ((w * (u * z)) / z))) \ 1)) \ z) = a(x,y,(w * u) \ ((w * (u * z)) / z)). L(x,y,a(z,u \ 1,u \ 1)) = L(x,y,a(z,u,u)). x \ T(y,T(z,x)) = K(y,z) * (x \ y). a(x,y,z \ (u \ (w * L(w \ (u * z),z,u)))) = a(x,y,a(1 / (w \ (u * z)),z,u)). R(x,y,z \ (u \ (w \ (u * (z * w))))) = L(x,y,a(w,z,u)). R(x,x,y \ (z \ (u \ (z * (y * u))))) \ (y \ (z \ ((z * (y * u)) / u))) = x \ L(L(u \ L(u,y,z),x,x),u,z * y). x \ L(L(y \ L(y,z,u),x,x),y,u * z) = (x \ 1) * (z \ (u \ ((u * (z * y)) / y))). a(x,y,(z * ((u \ (w \ ((w * (u * z)) / z))) \ 1)) \ z) = a(x,y,u \ (w \ ((w * (u * z)) / z))). R(x,a(y,z,u) * a(y,z,u),w) = T(x,a(y,z,u) * a(y,z,u)). x \ L(K(y,T(z,u)) * L(u,w,v5),v6,v7) = (x \ L(L(u,v6,v7),w,v5)) * K(y,z). a(x,y,z \ ((u \ w) * L((u \ w) \ z,z,u))) = a(x,y,a(1 / (w \ (u * z)),z,u)). L(x,x,a(y,z,u)) \ (z \ (u \ ((u * (z * y)) / y))) = x \ L(L(y \ L(y,z,u),x,x),y,u * z). a(x,y,(z * ((u \ (w \ ((w * (u * z)) / z))) \ 1)) \ z) = a(x,y,u \ (w \ (z \ (w * (u * z))))). R(x,a(y,z,u) * a(y,z,u),w) = T(x,a(y,z,u)). a(x,y,(z \ (u \ w)) \ ((u * z) \ w)) = a(x,y,a(1 / (w \ (u * z)),z,u)). L(x,x,a(y,z,u)) \ (z \ (u \ ((u * (z * y)) / y))) = (x \ 1) * (z \ (u \ ((u * (z * y)) / y))). a(x,y,L(z \ L(z,u,w),z,w * u)) = a(x,y,u \ (w \ (z \ (w * (u * z))))). R(x,a(y,z,u) * a(y,z,u),w) = x. a(x,y,(z \ (u \ w)) * ((u * z) \ w)) = a(x,y,a(1 / (w \ (u * z)),z,u)). (x * (a(y,z,u) * a(y,z,u))) * ((a(y,z,u) * a(y,z,u)) \ T(w,x)) = w * x. a(x,y,(z \ (u \ w)) * ((u * z) \ w)) = a(x,y,a((w \ (u * z)) \ 1,z,u)). a(x,y \ (a(z,u,w) \ 1),v5) = a(x,y \ a(z,u,w),v5). a(x,y * ((a(z,u,w) * a(z,u,w)) \ v5),v6) = a(x,y * v5,v6). a(x,y * (a(z,u,w) * a(z,u,w)),v5) = a(x,y,v5). a(x,y * ((a(z,u,w) \ 1) \ v5),v6) = a(x,y * (a(z,u,w) \ v5),v6). a(x,L(y \ 1,y,z),u) = a(x,y \ a(z,y,y),u). a(x * ((a(y,z,u) * a(y,z,u)) \ w),v5,v6) = a(x * w,v5,v6). a(x * (a(y,z,u) * a(y,z,u)),w,v5) = a(x,w,v5). a((a(x,y,z) * a(x,y,z)) * u,w,v5) = a(u,w,v5). a(L(a(x,y,z) \ u,a(x,y,z),a(x,y,z)),w,v5) = a(a(x,y,z) * u,w,v5). a((a(x,y,z) \ 1) \ u,w,v5) = a(a(x,y,z) \ u,w,v5). a(x,a(y,z,u) \ 1,w) = a(x,a(y,z,u),w). a(x,((a(y,z,u) \ 1) * w) \ v5,v6) = a(x,(w * a(y,z,u)) \ v5,v6). (x * ((a(y,z,u) \ 1) * w)) \ (((a(y,z,u) \ 1) * x) * w) = a(x,a(y,z,u),w). a(x,y * (a(z,u,w) \ 1),v5) = a(x,y * a(z,u,w),v5). a(x,(a(y,z,u) \ 1) * w,v5) = a(x,w * a(y,z,u),v5). a(x,a(y,z,u) \ u,w) = a(x,u * a(y,z,u),w). a(x,y * a(z,z,y),u) = a(x,L(y,z,z),u). a(x,L(y,y,z) \ 1,u) = a(x,L(y \ 1,y,z),u). a((a(x,y,y) \ 1) \ y,z,u) = a(L(y,y,x),z,u). a(a(x,y,z) \ 1,u,w) = a(a(x,y,z),u,w). a(x \ L(x,y,y),z,u) = a(a(y,y,x),z,u). a(a(x,y,y),z,u) = a(a(y,y,x),z,u). a(L((a(x,y,z) * a(x,y,z)) * u,w,v5),v6,v7) = a(L(u,w,v5),v6,v7). a((a(x,x \ 1,y) \ 1) \ y,z,u) = a(L(y,x \ 1,x),z,u). a((a(x \ 1,x,y) \ 1) \ y,z,u) = a(L(y,x,x \ 1),z,u). a(x,y * a(z,y,y),u) = a(x,L(y,y,z),u). a(a(x,y,y) * y,z,u) = a(L(y,y,x),z,u). a(x * a(y,y \ 1,x),z,u) = a(L(x,y \ 1,y),z,u). a(x * a(y \ 1,y,x),z,u) = a(L(x,y,y \ 1),z,u). a(x,L(y \ 1,y,z) \ 1,u) = a(x,L(y,y,z),u). a(L(x \ y,x \ y,x),z,u) = a(1 / (y \ x),z,u). a(x,L(y \ z,y \ z,y),u) = a(x,(z \ y) \ 1,u). a(L(x \ y,x \ y,x),z,u) = a((y \ x) \ 1,z,u). L(x,a(y,z,u),w * w) = x. L(x,a(y,z,u),(x * a(y,z,u)) \ w) \ w = (a(y,z,u) \ 1) * ((x * (a(y,z,u) \ 1)) \ w). L(x,a(y,y,x),z) \ (L(x,y,y) * z) = (x \ L(x,y,y)) * z. ((x * x) * a(y,z,u)) \ w = a(y,z,u) \ ((x * x) \ w). a(L(x \ (x * y),y,x),z,u) = a(((x * y) \ x) \ 1,z,u). a(L(x,x,y),z,u) = a(((y * x) \ y) \ 1,z,u). (K(x,y) * (z \ 1)) \ R(T(z \ K(x,y),K(x,y)),u,w) = (z \ K(x,y)) \ R(z \ K(x,y),u,w). K(x,y) * (z * (L(y,u,w) * x)) = T(z * (x * L(y,u,w)),K(x,y)). K(x,y) * (z \ T(u,K(x,y))) = T(z \ (K(x,y) * u),K(x,y)). x \ T(T(y,z) / z,T(u,x)) = K(z \ y,u) * (x \ (T(y,z) / z)). (K(x,y) * (z \ 1)) \ R(K(x,y) * (z \ 1),u,w) = (z \ K(x,y)) \ R(z \ K(x,y),u,w). K(x,x \ L(y,z,u)) * (w \ (x \ L(y,z,u))) = T(w \ (L(y,z,u) / x),K(x,y)). T(a(x \ 1,x,y) * (z * L(y,x,x \ 1)),K(z,y)) = L(z,L(y,x,x \ 1),a(x \ 1,x,y)) * y. (x \ 1) \ (K(y,z) * R(K(z,y) * (x \ 1),u,w)) = (x \ K(z,y)) \ R(x \ K(z,y),u,w). (x \ K(y,z)) \ R(x \ K(y,z),u,w) = (x \ 1) \ R(x \ 1,u,w). L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,(z \ R(v5,w,u)) * K(w,u)). a(x,y,z * ((u * w) \ ((u * v5) * w))) = a(x,y,z * R(v5,u,w)). (x \ K(y,z)) \ R(x \ K(y,z),u,w) = x * R(x \ 1,u,w). L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ R(v5,w,u)). a(x,y,z * ((u * w) \ ((w * v5) * u))) = a(x,y,z * R(v5,w,u)). a(x,y,z * R(u,w,v5)) = a(x,y,z * L(u,w,v5)). ((R(x,y,z) \ u) \ w) * (R(x,y,z) \ u) = w * K(R(x,y,z) * (w / u),u / x). a(x,y,L((z * (u / w)) * v5,v6,v7)) = a(x,y,L((z * (w \ u)) * v5,v6,v7)). L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)). x \ L(L(K(y,T(z,u)) * u,w,v5),v6,v7) = (x \ L(L(u,v6,v7),w,v5)) * K(y,z). x \ L(L(y * K(z,u),w,v5),v6,v7) = (x \ L(L(y,v6,v7),w,v5)) * K(z,u). K(x,x \ y) * (z \ (x \ L(y,u,w))) = T(z \ (L(y,u,w) / x),K(x,y)). a(x,y,z * ((u * w) \ ((w * v5) * u))) = a(x,y,R(v5,w,u) * z). a(x,y,(z \ 1) * R(z,u,w)) = a(x,y,z \ L(z,u,w)). a(x,y,R(z,u,w) * v5) = a(x,y,v5 * L(z,u,w)). a(x,y,z * L((u / w) / v5,v5,w)) = a(x,y,z * (u / (v5 * w))). L(x,y,z \ R(L(u,w,v5),v6,v7)) = L(x,y,z \ L(L(u,v6,v7),w,v5)). L(x,y,z \ L(z,u,u)) = L(x,y,a(z,u,u)). L(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = L(x,y,T((R(w,v5,v6) / u) * z,z \ u)). L(x,y,R(1 / z,z,L(u,w,v5)) \ L(u,w,v5)) = L(x,y,z * R(u,w,v5)). L(x,x,y \ L(z,u,w)) \ x = a(y \ R(z,u,w),x,x). L(x,y,z \ L(z,z,u)) = L(x,y,a(z,z,u)). L(x,y,a(z,u,u)) = L(x,y,a(u,u,z)). x * L(y,x,x \ L(x,x,z)) = L(x * y,x,a(x,x,z)). L(x,y,a(z,u,u) \ 1) = L(x,y,a(u,u,z)). L(x,y,z * ((z * u) \ u)) = L(x,y,a(z,z,u)). L(x,y,z * (u \ (z \ u))) = L(x,y,a(z,z,u)). x * L(y,x,a(x,x,z)) = L(x * y,x,a(x,x,z)). R(x,y,a(z,u,u)) = L(x,y,a(u,u,z)). L(x,y,z) \ L(L(x,y,z),u,a(w,w,v5)) = L(x \ L(x,u,a(v5,w,w)),y,z). R(x,y,z * R(z,u,u)) = L(x,y,a(u,u,z)). L(x,y,a(z * u,z,u)) = L(x,y,a(z,z,u)). L(x,y,a(z,u,z * u)) = L(x,y,a(u,u,z)). L((a(x,y,x * y) \ 1) \ z,x * y,a(y,y,x)) = (x * y) * (L(x * y,y,x) \ z). L(x * y,z,a(y,y,x)) = x * y. ((x * y) * (x * y)) / L(y * (x * y),x,a(y,y,x)) = a(x,y,x * y) * x. L(x,y,a(z,u,u * z)) = L(x,y,a(u,u,z)). ((x * y) * (x * y)) / (y * (x * y)) = a(x,y,x * y) * x. L(x,y,a(z * u,u,z)) = L(x,y,a(u,u,z)). R((x * y) / y,y,y * x) = a(x,y,x * y) * x. x \ L(x,y * z,a(z,z,y)) = a(x,y * z,a(y,z,z)). a(x,y,x * y) * x = R(x,y,y * x). x * a(x,y,x * y) = R(x,y,y * x). a(x,y,R(z,u,w) * v5) = a(x,y,L(z,u,w) * v5). a(x,y,z \ R(z,u,w)) = a(x,y,z \ L(z,u,w)). a(x,y,R(L(z,u,w),v5,v6) * v7) = a(x,y,L(L(z,v5,v6),u,w) * v7). a(x,y,z * L((u / w) / v5,v5,w)) = a(x,y,z * ((v5 * w) \ u)). L(x,y,z \ L(R(u,w,v5),v6,v7)) = L(x,y,z \ L(L(u,w,v5),v6,v7)). L(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = L(x,y,(u \ R(w,v5,v6)) * z). L(x,y,z * R(u,w,v5)) = L(x,y,z * L(u,w,v5)). a(x \ R(y,z,u),w,w) = a(x \ L(y,z,u),w,w). a(x,y,R(R(z,u,w),v5,v6) * (u * w)) = a(x,y,(L(z,v5,v6) * u) * w). a(x,y,L(z,u,w) * R(1 / v5,v5,v5 \ R(z,u,w))) = a(x,y,v5 \ T(R(z,u,w),v5 \ 1)). a(x,y,x \ R(x,z,u)) = 1. a(x,y,L(R(z,u,w),v5,v6) * v7) = a(x,y,L(L(z,u,w),v5,v6) * v7). a(x,y,z * L(u \ (w / v5),u,v5)) = a(x,y,z * ((u * v5) \ w)). L(x,y,L(z,u,w) \ L(R(z,v5,v6),u,w)) = L(x,y,L(z \ L(z,v5,v6),u,w)). L(x,y,L(z \ u,z,u \ L(w,v5,v6)) \ L(w,v5,v6)) = L(x,y,(u \ R(w,v5,v6)) * z). (x * T(y,x)) \ (y * (x * (z \ R(z,u,w)))) = R(z \ R(z,u,w),x,y). a(x,y,(R(z,u,w) * v5) * v6) = a(x,y,(L(z,u,w) * v5) * v6). a(x,y,L(z,u,w) * R(1 / v5,v5,v5 \ R(z,u,w))) = a(x,y,v5 \ R(z,u,w)). L(x \ R(x,y,z),u,x) = x \ R(x,y,z). a(x,y,L(L(z,u,w),v5,v6) * (v6 * v5)) = a(x,y,v6 * (v5 * R(z,u,w))). a(x,y,(z \ (1 / u)) * (w * ((u * z) \ K(u,u \ 1)))) = a(x,y,((z \ (1 / u)) * w) * ((z * u) \ 1)). L(x,y,T((L(z,u,w) / v5) * v6,v6 \ v5)) = L(x,y,(v5 \ R(z,u,w)) * v6). (x * y) \ (x * (y * (z \ R(z,u,w)))) = R(z \ R(z,u,w),y,x). a(x,y,(R(L(z,u,w),v5,v6) * v7) * v8) = a(x,y,(L(L(z,v5,v6),u,w) * v7) * v8). a(x,y,(L(z,u,w \ 1) * v5) * v6) = a(x,y,(R(z,u,w) * v5) * v6). a(x,y,(R(T(z,u),u,u \ 1) * w) * v5) = a(x,y,(((1 / u) * (z * u)) * w) * v5). a(x,y,L(z,u,w) * L(1 / v5,v5,v5 \ R(z,u,w))) = a(x,y,v5 \ R(z,u,w)). 1 / (R(x,y,z) \ x) = x \ R(x,y,z). L(x \ (y * ((x \ y) \ 1)),z,x) = x \ R(x,x \ y,x \ y). a(x,y,z * (u * R(w,v5,v6))) = a(x,y,z * (u * L(w,v5,v6))). a(x,y,(z \ (1 / u)) * (w * ((u * z) \ K(u,u \ 1)))) = a(x,y,(z * u) * ((z \ (1 / u)) * w)). L(x,y,(z \ R(u,w,v5)) * v6) = L(x,y,(z \ L(u,w,v5)) * v6). R(x \ R(x,y,z),u,w) = L(x \ R(x,y,z),u,w). L(x * y,z,a(x,y,y)) = x * y. L(x * (y \ 1),z,a(x,y,y)) = x * (y \ 1). (a(x,y,y) * z) * (x * y) = a(x,y,y) * (z * (x * y)). (a(x,y,y) * (z * (x * y))) \ (((a(x,y,y) * z) * x) * y) = a(a(x,y,y) * z,x,y). ((a(x,y,y) * (z * (x * y))) / y) \ ((a(x,y,y) * z) * x) = a(a(x,y,y) * z,x,y). (((x * (y * z)) / z) * a(y,z,z)) \ ((a(y,z,z) * x) * y) = a(a(y,z,z) * x,y,z). a(x,y,(L(R(z,u,w),v5,v6) * v7) * v8) = a(x,y,(L(L(z,u,w),v5,v6) * v7) * v8). a(x,y,(R(T(z,u),u,u) * w) * v5) = a(x,y,(((1 / u) * (z * u)) * w) * v5). a(x,y,(L(z,u,w \ 1) * v5) * v6) = a(x,y,(L(z,u,w) * v5) * v6). a(x,y,L(z,u,w) * L(1 / v5,v5,v5 \ L(z,u,w))) = a(x,y,v5 \ R(z,u,w)). a(x,y,z * (u * L(T(w,v5),v6,v7))) = a(x,y,(u * R(w,v6,v7)) * z). a(x,y,(z * (u * R(w,v5,v6))) * a(v7,v7,z * (u * L(w,v5,v6)))) = a(x,y,L(z * (u * R(w,v5,v6)),v7,v7)). (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. (R(x,y,z) \ x) \ 1 = x \ R(x,y,z). 1 / (x \ R(x,y,z)) = R(x,y,z) \ x. ((x \ R(x,y,z)) \ 1) * u = (R(x,y,z) \ x) * u. L(x \ (y * ((x \ y) \ 1)),z,x) = x \ (y * ((x \ y) \ 1)). R(x,y,y \ 1) \ x = a(x,y,y \ 1) \ 1. (R(x,y,z) \ x) * (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) = 1 * L(1 \ ((x \ R(x,y,z)) \ 1),u,w). (1 \ (L(x \ R(x,y,z),u,w) * ((x \ R(x,y,z)) \ 1))) \ 1 = L(1 \ (R(x,y,z) \ x),u,w) \ (1 \ ((x \ R(x,y,z)) \ 1)). R(x,y,y) \ x = a(x,y,y) \ 1. (R(x,y,z) \ x) * (x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w))) = 1 * L(1 \ ((x \ R(x,y,z)) \ 1),u,w). (x \ R(x,y,z)) \ a(x,y,z) = (R(x,y,z) \ x) * a(x,y,z). R(x,x,y) \ x = a(x,x,y) \ 1. R(x,x,y) \ x = y \ L(y,x,x). x * (R(y,y,x) \ y) = L(x,y,y). (a(x,x,y) \ 1) \ x = R(x,x,y). (x \ L(x,y,y)) \ y = R(y,y,x). (x \ L(x,y,y)) * R(y,y,x) = y. R(x,x,y) * ((y \ L(y,x,x)) * L((y \ L(y,x,x)) \ z,R(x,x,y),y \ L(y,x,x))) = (y \ L(y,x,x)) * (R(x,x,y) * (x \ (R(x,x,y) * z))). L((x \ L(x,y,y)) \ z,R(y,y,x) \ y,R(y,y,x)) = y \ (R(y,y,x) * z). x * L(y,R(x,x,z),z \ L(z,x,x)) = (x / R(x,x,z)) * (R(x,x,z) * y). R(x,x,y) * ((y \ L(y,x,x)) * L((y \ L(y,x,x)) \ z,R(x,x,y),a(y,x,x))) = (y \ L(y,x,x)) * (R(x,x,y) * (x \ (R(x,x,y) * z))). L((x \ L(x,y,y)) \ z,R(y,y,x) \ y,L(y,y,x)) = y \ (R(y,y,x) * z). R(x,y,y) \ x = y \ L(y,y,x). R(x,y,y) * (y \ L(y,y,x)) = x. x * (R(y,x,x) \ y) = L(x,x,y). (R(x,y,y) \ x) * K(z,u) = a(x,y,y) \ K(z,u). a(x,x \ y,x \ y) \ 1 = (y * ((x \ y) \ 1)) \ x. (R(x,y,y) \ x) * z = z * (y \ L(y,y,x)). a(x \ L(x,x,y),z,u) = a(a(x,x,y),z,u). R(x,y,y) \ T(x,z) = a(x,y,y) \ K(x,z). a(x,y,y) \ K(x,y) = ((y * x) * (y \ 1)) \ x. ((x * y) * (x \ 1)) \ y = x * ((x * y) \ y). ((L(x,y,z) * u) * (u \ 1)) \ L(T(x,u),y,z) = u * ((u * L(T(x,u),y,z)) \ L(T(x,u),y,z)). ((R(x,y,z) * u) * (u \ 1)) \ R(T(x,u),y,z) = u * ((u * R(T(x,u),y,z)) \ R(T(x,u),y,z)). R(x \ 1,x * y,x * ((x * y) \ y)) \ y = (x * y) * (((x \ 1) * (x * y)) \ y). (x * ((y \ x) \ 1)) \ y = (y \ x) * (x \ y). (R(x,y,y) \ x) * L(y,z,u) = a(x,y,y) \ L(y,z,u). ((x / y) \ x) * (x \ (x / y)) = (x * (y \ 1)) \ (x / y). (((x * (y * z)) / z) * (L(z \ L(z,y,x),z,x * y) \ 1)) \ (x * y) = ((x * y) \ ((x * (y * z)) / z)) * (((x * (y * z)) / z) \ (x * y)). (x * (y \ 1)) \ (x / y) = y * (x \ (x / y)). R(x / y,y,x \ (y \ x)) = x * (y \ 1). (x * (y \ 1)) * (y * (x \ (y \ x))) = y \ x. (x * (y \ 1)) \ (y \ x) = y * (x \ (y \ x)). x * ((x * L(T(y,x),z,u)) \ L(T(y,x),z,u)) = R(L(y,z,u),x,x) \ L(T(y,x),z,u). x * ((x * R(T(y,x),z,u)) \ R(T(y,x),z,u)) = R(R(y,z,u),x,x) \ R(T(y,x),z,u). L(x \ 1,x * y,a(y,x,x)) \ y = (x * y) * (((x \ 1) * (x * y)) \ y). (x \ y) \ R(y * (x \ 1),x * (y \ (x \ y)),x * (y \ (x \ y))) = (x * (y \ (x \ y))) \ 1. a(x,y,((z * u) \ (u \ z)) * w) = a(x,y,(u * (z \ (u \ z))) * w). x * ((x * L(T(y,x),z,u)) \ L(T(y,x),z,u)) = L(R(y,x,x),z,u) \ L(T(y,x),z,u). (x * y) * (((x \ 1) * (x * y)) \ y) = (x \ 1) \ y. (x \ y) \ L(y * (x \ 1),x * (y \ (x \ y)),a(y,x,x)) = (x * (y \ (x \ y))) \ 1. x * ((L(y,z,u) * x) \ L(T(y,x),z,u)) = L(R(y,x,x),z,u) \ L(T(y,x),z,u). (x * (y \ (x \ y))) \ 1 = (x \ y) \ (y * (x \ 1)). L(R(x,y,y),z,u) \ L(T(x,y),z,u) = y * ((y * L(x,z,u)) \ L(x,z,u)). R(x,y,y \ 1) \ x = y * ((x * y) \ x). R(x,y,x \ (y \ x)) = R(x,y,y \ 1). R(x,y,x \ (y \ x)) = R(x,y,y). R(x,y,y) \ ((x * y) * (x \ (y \ x))) = y * (x \ (y \ x)). R(x,y,y) \ (x * K(x * y,y)) = y * (x \ (y \ x)). (R(x,y,y) \ x) * K(x * y,y) = y * (x \ (y \ x)). a(x,y,y) \ K(x * y,y) = y * (x \ (y \ x)). a(x,y,y) \ K(y * x,y) = y * (x \ (y \ x)). a(x * (y \ (x \ y)),z,u) = a(a(y,x,x) \ 1,z,u). a(x,y,(z * (u \ (z \ u))) * w) = a(x,y,a(u,z,z) * w). a(x,y,(z * (u * (w \ (u \ w)))) \ v5) = a(x,y,(z * a(w,u,u)) \ v5). a(x * (y \ (x \ y)),z,u) = a(a(y,x,x),z,u). a(x,y,z * ((u \ (w \ u)) * w)) = a(x,y,a(u,w,w) * z). L(x \ K(x * y,x),x,y) = y \ (x \ y). a(x,y,((z * (u \ (z \ u))) * w) \ v5) = a(x,y,(w * a(u,z,z)) \ v5). L(L(a(x,y,z),u,w) \ 1,L(a(x,y,z),u,w),v5) = v5 \ (L(a(x,y,z),u,w) \ v5). (x * L(y,z,y)) \ (L(a(u,w,v5),y,x) \ (x * L(y,z,y))) = (x * (L(y,z,y) * a(u,w,v5))) \ (x * L(y,z,y)). (x * L(y,z,y)) \ (L(a(u,w,v5),y,x) \ (x * L(y,z,y))) = (x * (y * a(u,w,v5))) \ (x * y). (L(R(x,y,z),u,w) \ L(x,u,w)) \ 1 = L(x,u,w) \ R(L(x,u,w),y,z). (R(R(x,y,z),u,w) \ R(x,y,z)) \ 1 = R(x,y,z) \ R(R(x,u,w),y,z). x * ((x \ y) * (x \ (z * ((x \ z) \ 1)))) = y * (x \ (z * ((x \ z) \ 1))). a(x,y,(L(L(z,u,w),v5,v6) * (v6 * v5)) * v7) = a(x,y,(v6 * (v5 * R(z,u,w))) * v7). a(x,y,(L(T(z,u),u,u) * w) * v5) = a(x,y,(((1 / u) * (z * u)) * w) * v5). a(x,y,(L(z,u,w) / v5) * (v5 * (1 / v5))) = a(x,y,v5 \ R(z,u,w)). a(x,y,(z * R(u,w,v5)) * v6) = a(x,y,(z * L(u,w,v5)) * v6). (x \ R(x,y,z)) \ a(x,y,z) = a(x,y,z) * (R(x,y,z) \ x). x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w)) = 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)) \ 1))) \ 1 = L(R(x,y,z) \ x,u,w) \ (1 \ ((x \ R(x,y,z)) \ 1)). (L(R(x,y,z),u,w) \ L(x,u,w)) \ 1 = L(x,u,w) \ L(R(x,y,z),u,w). x * (y \ (x * ((y \ x) \ 1))) = y * (1 / (x \ y)). ((R(x,y,z) \ u) \ w) * (R(x,y,z) \ u) = w * K(x * (w / u),u / x). a(x,y,(z * (u * R(w,v5,v6))) * v7) = a(x,y,(z * (u * L(w,v5,v6))) * v7). a(x,y,(((1 / z) * (u * z)) * w) * v5) = a(x,y,(L(u,z,z) * w) * v5). a(x,y,(L(z,u,w) / v5) * K(v5,v5 \ 1)) = a(x,y,v5 \ R(z,u,w)). a(x,y,(z * ((u * (w \ 1)) * w)) * v5) = a(x,y,(z * L(u,w \ 1,w)) * v5). ((R(x,y,z) \ u) \ w) * (R(x,y,z) \ u) = ((x \ u) \ w) * (x \ u). a(x,y,(z * (u * L(w,v5,v6))) * a(v7,v7,z * (u * L(w,v5,v6)))) = a(x,y,L(z * (u * R(w,v5,v6)),v7,v7)). a(x,y,(z * ((u * w) * w)) * v5) = a(x,y,(L(u,w,w) * z) * v5). a(x,y,(z * L(u,w \ 1,w)) * v5) = a(x,y,(z * ((u * w) * w)) * v5). ((x \ R(x,y,z)) \ 1) * L(x \ R(x,y,z),u,w) = x * (R(x,y,z) \ L(x \ R(x,y,z),u,w)). (R(x,y,z) \ x) * (x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w))) = L(R(x,y,z) \ x,u,w). (1 \ (L(x \ R(x,y,z),u,w) * ((x \ R(x,y,z)) \ 1))) \ 1 = L(R(x,y,z) \ x,u,w) \ (1 \ (R(x,y,z) \ x)). (((x \ (y * ((x \ y) \ 1))) \ 1) * y) \ L(((x \ (y * ((x \ y) \ 1))) \ 1) * y,z,u) = (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u). a(x,y,L(z * (u * R(w,v5,v6)),v7,v7)) = a(x,y,L(z * (u * L(w,v5,v6)),v7,v7)). a(x,y,z * (((u * w) * w) * v5)) = a(x,y,(L(u,w,w) * v5) * z). a(x,y,(z * L(u,w \ 1,w)) * v5) = a(x,y,(L(u,w,w) * z) * v5). (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = 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)) \ 1))) \ 1 = L(R(x,y,z) \ x,u,w) \ (R(x,y,z) \ x). (((x \ y) * (y \ x)) * y) \ L(((x \ (y * ((x \ y) \ 1))) \ 1) * y,z,u) = (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u). (x \ R(x,y,z)) * a(x \ R(x,y,z),u,u) = L(x \ R(x,y,z),u,u). L(x \ R(x,y,z),u,(w \ 1) \ v5) = R(x \ R(x,y,z),u,w \ v5). L(x \ R(x,y,z),u,(w * w) * v5) = R(x \ R(x,y,z),u,v5). L(x \ R(x,y,z),u,w * (v5 * v5)) = R(x \ R(x,y,z),u,w). L((x \ K(y,z)) \ R(x \ K(y,z),u,w),v5,v6) = R(x * R(x \ 1,u,w),v5,v6). a(x,y,(L(z,u \ 1,u) * w) * v5) = a(x,y,(L(z,u,u) * w) * v5). a(x,y,a(z,z \ 1,u) * w) = a(x,y,(L(u,z,z) * u) * w). a(x,y,z * (L(u,w \ 1,w) * v5)) = a(x,y,(L(u,w,w) * v5) * z). L(R(x,y,z) \ x,u,w) \ (R(x,y,z) \ x) = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). (x \ R(x,y,z)) * a(x \ L(x,y,z),u,u) = L(x \ R(x,y,z),u,u). L(x \ R(x,y,z),u,(w \ 1) \ v5) = L(x \ R(x,y,z),u,w \ v5). L(x \ R(x,y,z),u,(w * w) * v5) = L(x \ R(x,y,z),u,v5). L(x \ R(x,y,z),u,w * (v5 * v5)) = L(x \ R(x,y,z),u,w). R(x * R(x \ 1,y,z),u,w) = L(x * R(x \ 1,y,z),u,w). L(x \ R(x,y,z),u,w * (w * v5)) = L(x \ R(x,y,z),u,L(v5,w,w)). L(x \ R(x,y,z),u,w * (v5 * (v6 * v6))) = L(x \ R(x,y,z),u,w * v5). T((R(x \ 1,y,z) * ((x \ 1) \ u)) / u,x \ 1) = L(x * R(x \ 1,y,z),x \ 1,x \ u). a(x,y,a(z,z \ 1,u) * w) = a(x,y,(u * L(u,z,z)) * w). L(x \ R(x,y,z),u,(w \ 1) * v5) = L(x \ R(x,y,z),u,v5 * w). a(x,y,a(z,z \ 1,u) * w) = a(x,y,a(z,z,u) * w). K(x * K(y \ 1,z),y) = K(x,y). (x * L(y \ T(z,u),w,v5)) \ (x * L(y \ z,w,v5)) = K(u,z). (x * L(y \ T(y * z,u),w,v5)) \ (x * L(z,w,v5)) = K(u,y * z). T(x * L(x \ (x * y),z,u),w) \ (x * L(y,z,u)) = K(w,x * y). K(K(x,y \ 1) * z,y) = K(z,y). K(K(x,1 / y) * z,y) = K(z,y). K(T(x,1 / y) / z,y) = K(x / z,y). T(T(x,K(y,z)),K(z,y)) != u | x = u. L(T(K(x,T(y,z)),u * z),w,v5) = K(x,u / ((u * (y \ z)) / z)). L(K(x,T(T(y,z),u * z)),w,v5) = K(x,u / ((u * (y \ z)) / 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) \ w)) = K(x,y * (u \ (z \ w))). K(x,L(y,z,u) * w) = K(x,y * w). K(x,L(y \ 1,z,u) * w) = K(x,y \ w). ((K(x,y) * z) * u) / (z * (K((z \ (x \ z)) \ 1,y) * u)) = a(z,K((z \ (x \ z)) \ 1,y),u). (K(x,y) * (z * u)) / (z * (K((z \ (x \ z)) \ 1,y) * u)) = a(z,K((z \ (x \ z)) \ 1,y),u). (K(x,y) * (z * u)) / (z * (T(K(x,y),z) * u)) = a(z,K((z \ (x \ z)) \ 1,y),u). K(x,y) * ((z * u) / (z * (T(K(x,y),z) * u))) = a(z,K((z \ (x \ z)) \ 1,y),u). K(x,y) * ((z * u) / (z * (T(K(x,y),z) * u))) = a(z,T(K(x,y),z),u). K(x,y) * ((z * u) / (z * (T(K(x,y),z) * u))) = a(z,K(x,y),u). x * T(x \ y,K(x,z)) = T(y,K(x,z)). T(x,K(y,z)) * (y \ 1) = T(x * (y \ 1),K(y,z)). x * L(K(T(y \ 1,z) \ 1,u),w,v5) = x / L(T(K(u,y),z),w,v5). x / L(T(K(y,z),u),w,v5) = x * L(T(K(z,y),u),w,v5). (x * (K(y,z) * u)) * L(T(K(z,y),u),u,x) = x * u. ((x * (K(y,z) * u)) * R(L(T(K(z,y),u),u,x),w,v5)) / (x * (K(y,z) * u)) = R((x * u) / (x * (K(y,z) * u)),w,v5). R((x * y) / (x * (K(z,u) * y)),x * (K(z,u) * y),L(T(K(u,z),y),y,x)) = (x * (y * T(K(u,z),y))) / (x * y). ((x * (K(y,z) * u)) * L(R(T(K(z,y),u),w,v5),u,x)) / (x * (K(y,z) * u)) = R((x * u) / (x * (K(y,z) * u)),w,v5). R((x * y) / (x * (K(z,u) * y)),w,v5) = ((x * (K(z,u) * y)) * L(T(K(u,z),y),y,x)) / (x * (K(z,u) * y)). R((x * y) / (x * (K(z,u) * y)),w,v5) = (x * y) / (x * (K(z,u) * y)). (x * (y * T(K(z,u),y))) / (x * y) = (x * y) / (x * (K(u,z) * y)). (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) = (u * z) / (u * (K(y,x) * z)). (x * y) / (x * (K(T(z \ 1,u) \ 1,w) * y)) = (x * (T(K(w,z),u) * y)) / (x * y). (x * y) / (x * (K(T(z \ 1,u) \ 1,w) * y)) = T((x * (K(w,z) * y)) / (x * y),u). (x * y) / (x * (K(T(z \ 1,u) \ 1,w) * y)) = T((x * y) / (x * (K(z,w) * y)),u). (x * y) / (x * (T(K(z,u),w) * y)) = T((x * y) / (x * (K(z,u) * y)),w). K(x,y) * T((z * u) / (z * (K(x,y) * u)),z) = a(z,K(x,y),u). (x * y) / (x * (K(z,u) * y)) = K(u,x / ((x * (z \ y)) / y)). K(x,y) * T(K(y,z / ((z * (x \ u)) / u)),z) = a(z,K(x,y),u). K(x,y) * K(y,((z * (x \ u)) / u) \ z) = a(z,K(x,y),u). a(x,K(y,z),u) = K(y,z) * K(z,(x / y) \ x). a(x,K(y,z),u) = K(y,z) * K(z,y). a(x,K(y,z),u) = 1. x * a(y,K(z,u),w) = x. L(x,K(y,z),u) = x. R(x,K(y,z),u) = x. (x * K(y,z)) * u = x * (K(y,z) * u). T(x * K(y,z),K(y,z) \ u) = (K(y,z) \ u) \ (x * u). x \ (y * (K(z,u) * x)) = T(y * K(z,u),x). (x * (K(y,z) * u)) / u = x * K(y,z). x \ ((x * K(y,z)) * u) = K(y,z) * u. T(T(x,y),K(z,u)) = T(x,y * K(z,u)). (x * K(y,z)) \ u = K(y,z) \ (x \ u). (x / (K(y,z) * u)) * K(y,z) = x / u. K(x,y) * ((z * K(x,y)) \ u) = z \ u. x * (K(y,y \ x) * z) = (y * (x / y)) * z. L(x,K(y,z),u) != w | w = x. (x * y) * K(z,T(u,y)) = (x * K(z,u)) * y. K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u). ((x * (y * K(z,u))) * w) / (y * (K(z,u) * w)) = R(x,y * K(z,u),w). (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y * K(z,u),w). (x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w) = a(x * K(y,z),u,w). (x * (K(y,z) * u)) \ ((x * K(y,z)) * (u * w)) = L(w,u,x * K(y,z)). (x * K(y,z)) * (K(z,y) * u) = x * u. (x * K(y,z)) * (T(y,z) \ u) = x * (y \ u). (x * K(y,z)) * (z \ u) = x * (T(z,y) \ u). (x * K(y,z)) * (y * u) = x * (T(y,z) * u). (x * T(y,z)) * (K(z,y) * u) = (x * y) * u. (x / y) * (K(z,y) * u) = (x / T(y,z)) * u. (x * y) * (K(y,z) * u) = (x * T(y,z)) * u. (x / T(y,z)) * (K(y,z) * u) = (x / y) * u. (x / (y \ z)) * (K(y \ z,y) * u) = (x / (z / y)) * u. (x * K(y,z * u)) * u = x * (u * K(y,u * z)). R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5). (x * y) * (K(x,y) * z) = (T(x,y) * y) * z. (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w). (x \ 1) * (K(y,z) * u) = (x \ K(y,z)) * u. (x * (y \ 1)) * (K(z,u) * w) = (x * (y \ K(z,u))) * w. (x \ y) * (K(y,z) * u) = (x \ T(y,z)) * u. (x * (y * z)) * (K(z,u) * w) = (x * (y * T(z,u))) * w. L(x * K(y,z),u,w) * v5 = L(x,u,w) * (K(y,z) * v5). (x \ (y \ z)) * (K(y,y \ z) * u) = (x \ (z / y)) * u. (x \ y) * (K(z,z \ y) * u) = (x \ (z * (y / z))) * u. L(x \ 1,y,z) * (K(u,w) * v5) = L(x \ K(u,w),y,z) * v5. L(x \ y,z,u) * (K(x,x \ y) * w) = L(y / x,z,u) * w. (x * y) * (K(z,T(u,y)) * w) = (x * (K(z,u) * y)) * w. (x \ y) * (K(z,T(u,y)) * w) = (x \ (K(z,u) * y)) * w. (x \ 1) \ ((x \ K(y,z)) * u) = K(y,z) * u. (x * (y * z)) / (z * y) = x * K(y,z). (x * y) / (K(z,u) * y) = x * K(u,z). (x * K(y,z)) \ u = K(z,y) * (x \ u). T(x,y) \ ((z * K(y,x)) \ u) = x \ (z \ u). K(x,y) * (T(z,K(x,y)) \ u) = z \ (K(x,y) * u). K(x,y) \ ((z * x) \ u) = (z * T(x,y)) \ u. (x \ y) * ((z * K(x \ y,x)) \ u) = (y / x) * (z \ u). ((x * K(y,z)) \ u) * w = K(z,y) * ((x \ u) * w). K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. K(x,x \ y) * ((z * (y / x)) \ u) = (z * (x \ y)) \ u. K(x,y) * ((z * y) \ u) = (z * T(y,x)) \ u. K(x,y) * ((z / T(y,x)) \ u) = (z / y) \ u. K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u. K(x,y) * ((z / x) \ u) = (z / T(x,y)) \ u. K(x,y) * ((z \ K(x,y)) \ u) = (z \ 1) \ u. K(x,y) * ((z * (u \ K(x,y))) \ w) = (z * (u \ 1)) \ w. K(x,y) * ((z \ T(x,y)) \ u) = (z \ x) \ u. K(x,y) * ((z \ y) \ u) = (z \ T(y,x)) \ u. K(x,y) * ((z \ 1) \ u) = (z \ K(y,x)) \ u. (x * (y * K(z,u))) \ w = K(u,z) * ((x * y) \ w). K(x,y) * (L(z \ K(x,y),u,w) \ v5) = L(z \ 1,u,w) \ v5. K(x,T(y,z)) * (z \ u) = (K(y,x) * z) \ u. K(x,T(y,z)) * ((u \ (K(x,y) * z)) \ w) = (u \ z) \ w. x / (K(y,z) * u) = (x / u) * K(z,y). (x / (K(y,z) * u)) * (K(y,z) * w) = (x / u) * w. (x / (1 / y)) * K(z,u) = x / (K(u,z) / y). (x / (y \ z)) * K(y,u) = x / (T(y,u) \ z). x / (y / (y / z)) = (x / z) * K(z,z \ y). R(x,K(y,z),u) != w | x = w. (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x * K(y,z),u,w). (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). ((x * (y * K(z,u))) * w) / (y * (K(z,u) * w)) = R(x,y,K(z,u) * w). (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y,K(z,u) * w). (x * ((y * z) * (K(u,w) * (v5 * v5)))) / v6 = (x * (y * (z * K(u,w)))) / (v6 / (v5 * v5)). (x * (y * (z * K(u,w)))) * v5 = (x * (y * z)) * (K(u,w) * v5). (x * (y \ K(z,u))) * (K(u,z) * w) = (x * (y \ 1)) * w. T(x * K(y,z),K(y,z) \ u) = u \ (K(y,z) * (x * u)). (x / (y * z)) * (K(y,z) * u) = (x / (z * y)) * u. (x \ 1) * (y * K(y * z,u)) = (x \ K(z * y,u)) * y. (((x \ K(y,z)) * u) / (x \ 1)) * L(x \ 1,w,v5) = L(x \ 1,w,v5) * (K(y,z) * u). (x \ K(y,z)) * (u * L(u \ K(z,y),w,v5)) = (x \ 1) * (u * L(u \ 1,w,v5)). a(((x \ K(y,z)) * u) * (x * x),w,v5) = a((K(y,z) * u) * x,w,v5). K(x,y) * (((z \ K(x,y)) \ u) * w) = ((z \ 1) \ u) * w. ((x \ 1) \ y) \ (K(z,u) * w) = ((x \ K(z,u)) \ y) \ w. K(x,y) * (((z \ 1) \ u) * w) = ((z \ K(y,x)) \ u) * w. a(x,y,((z \ K(u,w)) \ v5) * v6) = a(x,y,((z \ 1) \ v5) * v6). a(x * K(y,z),u,w) = a(x,K(y,z) * u,w). L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). R(x,y * K(z,u),w) = R(x,y,K(z,u) * w). a(x,y * K(z,u),w) = a(x,y,K(z,u) * w). (x * (y * (z * (K(u,w) * (v5 * v5))))) / v6 = (x * (y * (z * K(u,w)))) / (v6 / (v5 * v5)). ((a(x,y,z) \ 1) * u) * (K(w,v5) * v6) = (u * (a(x,y,z) \ K(w,v5))) * v6. a((x * (y \ K(z,u))) * w,v5,v6) = a((x * (y \ 1)) * w,v5,v6). (x * (y \ K(z,u))) * ((w \ K(z,u)) \ v5) = (x * (y \ 1)) * ((w \ 1) \ v5). (x * T(y,z)) * (T(y,z) \ u) = (x * y) * (y \ u). K(x,y) * (z * (K(y,x) * u)) = T(z,K(y,x)) * u. x \ (T(y,K(z,u)) * x) = T(y,K(z,u) * x). K(x,y) * ((T(z,K(x,y)) * u) * w) = (z * (K(x,y) * u)) * w. R(x,y,z) * (K(u,w) * (y * z)) = K(u,w) * ((T(x,K(u,w)) * y) * z). (x * (K(y,z) * u)) \ (K(y,z) * w) = (T(x,K(y,z)) * u) \ w. (x * T(y,z)) \ ((y * x) * u) = K(z,y) * (K(y,x) * u). T(x * K(y,z),K(y,z) \ u) = T(K(y,z) * x,u). T(x,y) * ((z * T(x,y)) \ u) = x * ((z * x) \ u). K(x,y) * (((z * T(x,y)) \ u) * w) = ((z * x) \ u) * w. (T(x,y) \ z) \ ((u * T(x,y)) \ w) = (x \ z) \ ((u * x) \ w). L(x,y,((z * T(u,w)) \ v5) \ v6) = L(x,y,((z * u) \ v5) \ v6). a(x,y,L((z * T(u,w)) \ v5,v6,v7)) = a(x,y,L((z * u) \ v5,v6,v7)). a(x,y,((K(z,u) * w) * (v5 * (v6 * z))) * v7) = a(x,y,v7 * ((v5 * (v6 * T(z,u))) * w)). (T(x,K(y,z)) \ u) * K(y,z) = T(x \ (K(y,z) * u),K(y,z)). T(x,K(y,z)) \ (K(y,z) * u) = K(y,z) * (x \ u). (x \ T(y,z)) * L(T(u,K(y,z)),w,v5) = (x \ y) * (L(u,w,v5) * K(y,z)). (x \ L(y,z,u)) * (K(L(y,z,u),w) * v5) = (x \ L(T(y,w),z,u)) * v5. R(x,y,(z \ T(u,w)) * v5) = R(x,y,(z \ u) * v5). a(x,y,(z \ ((K(u,w) * v5) * (v6 \ u))) * v7) = a(x,y,v7 * (z \ ((v6 \ T(u,w)) * v5))). (x * (y \ z)) * (T(z / y,y) \ u) = (x * (z / y)) * ((z / y) \ u). (x \ L(T(y,z),u,w)) * (T(y,z) \ v5) = (x \ L(y,u,w)) * (y \ v5). a(((x * T(y,z)) \ u) * w,v5,v6) = a(((x * y) \ u) * w,v5,v6). (x * T(y,z)) \ ((x * (y * u)) / u) = T(y,z) \ (x \ ((x * (y * u)) / u)). (x \ (x / (y \ 1))) * x = x / (T(y,x) \ 1). (x / T(y,z)) * (K(y,z) * L((x / y) \ u,w,v5)) = L(u / (x / y),w,v5) * (x / y). (x / T(y,z)) * L(T(y,z),u,w) = (x / y) * L(y,u,w). a(x,y,z * ((u * (w \ K(v5,v6))) \ v7)) = a(x,y,z * ((u * (w \ 1)) \ v7)). T((x \ K(y,z)) \ u,K(z,y) * w) = w \ (((x \ 1) \ u) * (K(z,y) * w)). a(x,y,(((z \ K(u,w)) \ v5) \ v6) * v7) = a(x,y,(((z \ 1) \ v5) \ v6) * v7). a(x,K(y,z) * u,w) = a(x,u,w). L(x,K(y,z) * u,w) = L(x,u,w). L(x,y,z * K(y,u)) = L(x,T(y,u),z). L(x,K(y,z) * K(u,w),v5) != v6 | v6 = x. (x \ 1) \ L(x \ K(y,z),u,w) = x * L(x \ K(y,z),u,w). (x * (y \ K(z,u))) * ((w \ 1) \ v5) = (x * (y \ 1)) * ((w \ K(u,z)) \ v5). (x \ y) \ (x \ (x \ y)) = K(y,x) * (y \ (y / x)). x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u). K(x \ 1,x) * (y \ R(y,x \ 1,x)) = a(y * (1 / x),x,x). K(x,y) * (L(a(z,u,w),v5 \ K(y,x),v5) \ v6) = (v5 * ((v5 \ K(y,x)) * a(z,u,w))) \ v6. R(x * K(y,z),u,w) \ v5 = K(z,y) * (R(x,u,w) \ v5). K(x,y) * ((z * (u * y)) \ w) = (z * (u * T(y,x))) \ w. L(x * K(y,z),u,w) \ v5 = K(z,y) * (L(x,u,w) \ v5). K(x,y) * (L(z * y,u,w) \ v5) = L(z * T(y,x),u,w) \ v5. K(x \ y,x) * (L(x \ y,z,u) \ w) = L(y / x,z,u) \ w. K(K(x,y) \ ((z * u) \ w),v5) = K(K(y,x) * (u \ (z \ w)),v5). L(x * K(y,z),u,w) * (K(z,y) * v5) = L(x,u,w) * v5. L(x \ K(y,z),u,w) * (K(z,y) * v5) = L(x \ 1,u,w) * v5. L(T(x,y),z,u) * (K(y,x) * w) = L(x,z,u) * w. x / (y * K(y \ z,u)) = (x / y) * K(u,z / y). x / (y * K(z,y \ u)) = (x / y) * K(u / y,z). ((x * y) / (K(z,u) / w)) * L(K(z,u) / w,y,x) = ((x * (y * (K(z,u) / w))) / (1 / w)) * K(u,z). K(x,y) * (1 / (1 / x)) = 1 / (K(y,x) / x). ((x * (y * K(z,u))) \ w) * v5 = K(u,z) * (((x * y) \ w) * v5). (x * (y / (y / z))) \ u = K(z,z \ y) * ((x * z) \ u). K(x,y) * (z * (T(x,y) \ u)) = T(z,K(x,y)) * (x \ u). (a(x,y,z) * (T(x * y,z) \ (z \ (x * (y * z))))) * (((x * (y * z)) \ (z * (x * y))) \ 1) = (x * y) \ (z \ (x * (y * z))). K(x,y) * (((z / x) \ u) * w) = ((z / T(x,y)) \ u) * w. (x \ T(y,z)) * L(K(z,y) * ((x \ y) \ T(y,z)),u,w) = L(x,u,w) * (x \ T(y,z)). (x * (y * T(z,u))) \ ((x * y) * z) = K(u,z) * a(x,y,z). R(x,y * K(z,u),w) = R(x,y,w). R(x,y \ K(z,u),K(u,z) * w) = R(x,y \ 1,w). a(x,y * K(z,u),w) = a(x,y,w). a(x,y * (z * K(u,w)),v5) = a(x,y * z,K(u,w) * v5). (x / T(y,z)) * L(T(u,K(z,y)),w,v5) = (x / y) * (L(u,w,v5) * K(z,y)). T(x,y) \ ((T(x,y) \ 1) \ z) = x \ ((x \ 1) \ z). a(x * K(y,x),y,z) \ ((y * x) * z) = x * (T(y,x) * z). (x / T(y,z)) \ T(z,y) = T((x / y) \ z,K(y,z)). ((x \ y) \ y) \ ((z / T(x,x \ y)) \ u) = x \ ((z / x) \ u). T(x * T(y,K(z,u)),K(u,z)) = T(x,K(u,z)) * y. T(T(x,K(y,z)),u) = T(x,K(y,z) * u). K(x,y) * (z * L(K(y,x) * u,w,v5)) = T(z,K(y,x)) * L(u,w,v5). T(T(x,y),K(z,u)) = T(x,K(z,u) * y). R(x,y,z) * (K(u,w) * (y * z)) = (x * (K(u,w) * y)) * z. T(x * K(y,z),K(z,y) * u) = T(K(y,z) * x,u). T(T(x,K(y,z)) \ u,K(y,z)) = x \ T(u,K(y,z)). (x \ T(y,z)) * L(T(u,K(y,z)),w,v5) = (x \ y) * L(u * K(y,z),w,v5). L(x,y,(z \ L(T(u,w),v5,v6)) * v7) = L(x,y,v7 * (z \ L(u,v5,v6))). (x \ K(y,z)) \ (K(z,y) * (((x \ 1) \ L(x \ K(y,z),u,w)) * v5)) = ((x \ K(y,z)) \ v5) * ((x \ K(y,z)) \ L(x \ K(y,z),u,w)). ((1 / x) * (T(y,x \ 1) * K(z,u))) * x = (y * (x \ 1)) * ((x \ K(u,z)) \ 1). ((T(x,y) * y) * z) \ (K(x,y) * (z * (x * y))) = K(K(x,y) * z,x * y). (x * (y / z)) * ((y / z) \ u) = (x * (z \ y)) * ((z \ y) \ u). a(x / (L(y,z,z) * K(u,w)),L(y,z,z),a(z,z,y)) = K(u,w) * (((y * (L(y,z,z) \ x)) \ (a(z,z,y) * x)) * K(w,u)). (x \ T(y,z)) * L(T((x \ y) \ y,K(y,z)),u,w) = L(x,u,w) * (x \ T(y,z)). L(x,T(y,z),u) = L(x,y,u). R(x,y \ K(z,u),w) = R(x,y \ 1,w). a(x,y * (z * K(u,w)),v5) = a(x,y * z,v5). a(x,y * (z * (u * K(w,v5))),v6) = a(x,y * (z * u),K(w,v5) * v6). (x * (y * (z * (K(u,w) * (v5 * v5))))) / v6 = (x * (y * z)) / ((v6 / (v5 * v5)) * K(w,u)). ((x * y) * z) \ (z * (x * y)) = K(K(x,y) * z,x * y). T(T(x,K(y,z)),u) = T(x,K(z,y) * u). T(T(x,K(y,z)),z * y) = T(x,y * z). T(x * y,K(y,x) * z) = T(x * y,z). T(T(x,K(y,z * x)),u) = T(x,K(z,y) * u). R(x,K(y,z) * u,w) = R(x,u,w). (x / T(y,z)) * L(K(y,z) * ((x / y) \ u),w,v5) = L(u / (x / y),w,v5) * (x / y). (x / T(y,z)) * L(T(u,K(z,y)),w,v5) = (x / y) * L(u * K(z,y),w,v5). (x / y) * ((z * (x / y)) \ u) = (y \ x) * ((z * (y \ x)) \ u). (x / T(y,z)) \ (u \ T(z,y)) = T((x / y) \ (u \ z),K(y,z)). (1 / x) * (((1 / x) * y) \ z) = (x \ 1) * (((x \ 1) * y) \ z). (x \ (y / z)) * ((y / z) \ u) = (x \ (z \ y)) * ((z \ y) \ u). R(x,y,(z \ (u / w)) * v5) = R(x,y,(z \ (w \ u)) * v5). a(x,y,z * ((u \ (w / v5)) * v6)) = a(x,y,z * ((u \ (v5 \ w)) * v6)). a(x,y,z \ ((u \ (w / v5)) * v6)) = a(x,y,z \ ((u \ (v5 \ w)) * v6)). a(x,y,((z \ (u / w)) * v5) * v6) = a(x,y,((z \ (w \ u)) * v5) * v6). K(x \ y,x) * (y \ (y / x)) = y \ (x \ y). (((x * (y / x)) \ L(y,z,u)) * w) / (K(x \ y,x) * w) = R(y \ L(y,z,u),K(x \ y,x),w). (x / (y \ z)) * ((y \ z) * y) = (x / (z / y)) * z. ((x * (1 / (1 / y))) \ z) \ ((x * y) \ z) = K(y \ 1,y). T(K(x \ y,x),(z * x) \ u) = ((z * (y / (y / x))) \ u) \ ((z * x) \ u). (x / (y / (y / z))) / (y / z) = (x / z) / (z \ y). a(x,y,L(z,u,w) / (1 / (1 / v5))) = a(x,y,v5 \ R(z,u,w)). (x * (y * z)) \ ((x * z) * y) = K(z,y) * a(x,z,y). T(T(x,y),K(z,u)) = T(x,y * K(u,z)). T(x,K(y,z) * u) = T(x,u * K(y,z)). (K(x,y) / x) * (y * x) = (1 / x) * (x * y). (T(x,y) \ L(x,z,u)) * (x * y) = (x \ L(x,z,u)) * (y * x). L((x * y) \ z,y * x,(y * x) \ 1) = (1 / (x * y)) * z. (x / (y * z)) * (R(y,u,w) * z) = (x / (z * y)) * (z * R(y,u,w)). (K(x,y) / x) * (y * x) = L(y,x,x \ 1). T(x * y,T(x,y) \ z) = T(x * y,x \ z). (x * (y * z)) / T(y * x,z) = L(K(x,y) * z,y,x). L(x,x \ y,z) = (z * (y / x)) \ (z * y). x * L(y,y \ z,(y \ z) \ x) = (x / (z / y)) * z. L(x,x \ y,(x \ y) \ 1) = (1 / (y / x)) * y. a(x,y,z) \ ((y * x) * z) = x * (T(y,x) * z). K(K(x,y) * z,x * y) = K(z,x * y). T((x \ 1) * x,(y * x) \ z) = ((y * (1 / (1 / x))) \ z) \ ((y * x) \ z). K(T(x / (y / (y / z)),1 / u) / (y / z),u) = K((x / z) / (z \ y),u). (K(x,y \ 1) / x) * ((y \ K(z,x)) * x) = L(y \ K(z,x),x,x \ 1). a(x,y,L(z * ((u * w) * (K(w,u) / w)),v5,v6)) = a(x,y,L(z * L(u,w,w \ 1),v5,v6)). L(L(x,y,z) * K(u,w),v5,v6) \ v7 = K(w,u) * (L(L(x,v5,v6),y,z) \ v7). L(L(x * K(y,z),u,w) \ L(L(x * K(y,z),u,w),v5,v6),L(x * K(y,z),u,w),v7) \ v7 = L(x,u,w) * (K(y,z) * (L(L(x * K(y,z),u,w),v5,v6) \ v7)). K(x,y) * (L(z / x,u,w) \ v5) = L(z / T(x,y),u,w) \ v5. K(x,x \ y) * (L(z / (x \ y),u,w) \ v5) = L(z / (y / x),u,w) \ v5. L(R(x * K(y,z),u,w),v5,v6) \ v7 = K(z,y) * (L(R(x,u,w),v5,v6) \ v7). K(x,y) * (L(z \ T(x,y),u,w) \ v5) = L(z \ x,u,w) \ v5. T(x \ K(y,z),K(z,y) * u) = T(K(y,z) * (x \ 1),u). T((x \ K(y,z)) \ u,K(z,y) * w) = T(((x \ 1) \ u) * K(z,y),w). T(x,K(y,z)) * T(u,K(y,z)) = T(x * u,K(y,z)). L((x * y) \ x,y,y \ 1) = (x * (1 / (1 / y))) \ x. (x * (y * (z * (K(u,w) * (v5 * v5))))) / v6 = (x * (y * z)) / (v6 * ((v5 * v5) \ K(w,u))). a(x,y * (z * (u * K(w,v5))),v6) = a(x,y * (z * u),v6). (x / (T(y,z) * (z * y))) * (T(y,z) * R(z * y,u,w)) = (x / ((y * z) * y)) * (R(z * y,u,w) * T(y,z)). T(x * y,(x * y) \ (y * z)) = T(x * y,x \ z). (x * y) / T(z * x,z \ y) = (z * x) \ (x * y). T(T(x,y * z),K(y,z)) = T(x,z * y). 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 / z) \ u,w) = R(x,(z \ y) \ u,w). R(x,R(y / z,u,w),v5) = R(x,R(z \ y,u,w),v5). R(x,(y * z) \ u,w) = R(x,(z * y) \ u,w). (x \ y) * L(((x \ y) \ y) * K(y,z),u,w) = L(x,u,w) * (x \ T(y,z)). (x / (T(y,z) * (z * y))) * (T(y,z) * R(z * y,u,w)) = (x / ((y * z) * y)) * (R(y * z,u,w) * y). (x / T(y,z)) * L(T(u,K(y,z)),w,v5) = (x / y) * L(u * K(z,y),w,v5). ((x \ 1) * ((x \ 1) * (((x \ 1) * y) \ y))) / (x \ 1) = ((y / x) / y) / (1 / x). T(x,K(y,K(z,u))) = x. x / T(x,y * K(z,u)) = K(K(z,u) * y,x). T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). L(x,x \ 1,(x \ 1) \ y) = y \ (y / (1 / x)). L(1 / (K(x,y) * a(z,x,y)),(z * (y * x)) \ ((z * x) * y),z * (y * x)) = 1 / (1 / (((z * x) * y) \ (z * (y * x)))). ((x * (y * z)) * (1 / (1 / (K(z,y) * a(x,z,y))))) \ (x * (y * z)) = 1 / (1 / (((x * z) * y) \ (x * (y * z)))). (x * (y * (z \ L(z,u,w)))) \ (((z \ L(z,u,w)) * x) * y) = K(z \ L(z,u,w),y) * a(x,z \ L(z,u,w),y). a(x,y,(z * (u * w)) \ (u * (z * w))) = a(x,y,K(w,u) * a(z,w,u)). (x * (y * (z * (K(u,w) * (v5 * v5))))) / v6 = (x * (y * z)) / (v6 * (v5 \ (v5 \ K(w,u)))). L(L(x * K(y,z),u,w),v5,v6) \ v7 = K(z,y) * (L(L(x,v5,v6),u,w) \ v7). T(x,y * K(z,K(u,w))) = T(x,y). K(x,K(y,z)) * u = u * K(x,K(y,z)). K(K(x,y),K(z,u)) = 1. x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). T(K(x,y),K(z,u)) = K(x,y). L(x,T(y,z),u) = L(x,y,T(u,w)). L(T(x,y) \ (z \ u),x,z) = (z * T(x,y)) \ u. L(x,y \ (z * y),u) = L(x,z,u). L(x,L(T(y,z),u,w),v5) = L(x,L(y,u,w),v5). L(x,(y \ z) \ z,u) = L(x,y,u). L(x,y / z,u) = L(x,z \ y,u). L(x,L((y \ z) \ z,u,w),v5) = L(x,L(y,u,w),v5). L(x,y / (y / z),u) = L(x,z,u). L(x,L(y / z,u,w),v5) = L(x,L(z \ y,u,w),v5). L(x,(y * z) * (y \ 1),u) = L(x,R(z,y,y),u). L(x,R(y * K(z,y),u,w),v5) = L(x,R(y,u,w),v5). T(x,y) * R(L(L(y,z,u),w,v5),x,L(L(y,z,u),w,v5)) = T(x * L(L(y,w,v5),z,u),L(L(y,z,u),w,v5)). K(T(x,K(y,z)),u) = K(x,u). K(x,T(y,K(z,u))) = K(x,y). K(K(x,y) * z,u) = K(z * K(x,y),u). K(x,y) * K(z,u) = K(z,u) * K(x,y). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). K(K(x,y) * (z \ 1),u) = K(z \ K(x,y),u). K(x,T(y,T(z,u))) = K(x,T(y,z)). a(x,y,(z * L(u \ K(w,v5),v6,v7)) \ v8) = a(x,y,(L(u \ 1,v6,v7) * z) \ v8). K(x,y) * ((z / L(y,u,w)) * L(L(y,u,w),v5,v6)) = L(T(y,x),u,w) \ (L(L(y,u,w),v5,v6) * z). L(T(x,x \ y),z,u) * ((L(x,w,v5) \ y) * v6) = L(x,z,u) * ((y / L(x,w,v5)) * v6). L(x / y,z,u) * ((x / y) \ w) = L(y \ x,z,u) * ((y \ x) \ w). (x * T(y,z)) * (L(u * T(y,z),w,v5) \ v6) = (x * y) * (L(u * y,w,v5) \ v6). (x \ K(y,z)) * (L(u \ K(y,z),w,v5) \ v6) = (x \ 1) * (L(u \ 1,w,v5) \ v6). L(x \ T(y,z),u,w) \ (x \ T(y,z)) = L(x \ y,u,w) \ (x \ y). T(x,y) \ (L(z / T(x,y),u,w) \ v5) = x \ (L(z / x,u,w) \ v5). (x / y) * (L(x / y,z,u) \ w) = (y \ x) * (L(y \ x,z,u) \ w). a(x \ (y * (L(z / u,w,v5) \ v6)),v7,v8) = a(x \ (y * (L(u \ z,w,v5) \ v6)),v7,v8). (x / y) \ (L(z / (x / y),u,w) \ v5) = (y \ x) \ (L(z / (y \ x),u,w) \ v5). (x / (y \ z)) * L(T(z / y,y),u,w) = (x / (z / y)) * L(z / y,u,w). (x / (L(y,z,y) * z)) * L(L(y,z,y) * z,u,w) = (x / (z * y)) * L(T(L(y,z,y) * z,y),u,w). (((x \ K(y,z)) * u) / (x \ 1)) * L(x \ 1,w,v5) = L(x \ K(y,z),w,v5) * u. (x / (y / z)) * L(y / z,u,w) = (x / (z \ y)) * L(z \ y,u,w). (x \ 1) / (T(x,x) \ L(x,y,z)) = x / ((x \ L(x,y,z)) * (x * x)). L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. (x * y) / L(z,z \ y,x) = x * (y / z). L(x,x \ y,z) \ (z * y) = T(z * (y / x),x). (x / y) * (L(y \ x,z,u) * ((y \ x) \ w)) = L(x / y,z,u) * w. ((x \ 1) * (L(x \ 1,y,z) \ u)) * x = R(u / L(1 / x,y,z),x \ 1,x). R(x / L(1 / y,z,u),y \ 1,y) = (y * (L(y,z,u) \ x)) * y. (x \ 1) / (T(x,x) \ L(x,y,z)) = x / (L(x,y,z) * (x \ (x * x))). L(x * y,(x * y) \ y,x) \ 1 = (x * y) \ (x * (y / (x * y))). (x * y) \ L(x * y,(x * y) \ y,x) = T(x * (y / (x * y)),x * y) \ 1. T((x * y) * ((x / (y \ 1)) \ 1),x * y) = R(a(x,y,y),(y \ 1) \ x,y \ x). R(x,R(y * K(z,y),z,u),w) = R(x,(z * u) \ ((z * y) * u),w). (x * ((y / z) \ 1)) * T(y / z,y \ z) = R(x,(z \ y) \ 1,z \ y). T(((1 / (x / y)) * z) * (x / y),y / x) = R(z,(y \ x) \ 1,y \ x). a(x,y,z \ (((u * (1 / (w / v5))) * (v5 \ w)) * v6)) = a(x,y,z \ (R(u,(v5 \ w) \ 1,v5 \ w) * v6)). (x * R(y / z,z,y)) * (z * (y \ 1)) = R(x,R(z \ y,z,y),z * y). a(x,y,(y * x) \ z) \ z = x * (T(y,x) * ((y * x) \ z)). (x / y) * ((z / (y \ x)) * L(y \ x,u,w)) = L(x / y,u,w) * z. L(x / y,z,u) * (u * z) = (x / y) * ((u * (z * (y \ x))) / (y \ x)). (1 / x) * (L(x,y,z) * (x \ u)) = L(1 / x,y,z) * u. (x \ y) * L((x \ y) \ T(y,z),u,w) = L(x,u,w) * (x \ T(y,z)). ((x * y) / (z \ K(u,w))) * L(z \ K(u,w),y,x) = ((x * (y * (K(u,w) / z))) / (1 / z)) * K(w,u). K(x,x \ y) \ ((K(x,x \ y) / (z \ (x \ y))) * L(z \ (x \ y),u,w)) = (z \ (y / x)) \ L(z \ (y / x),u,w). x / (T(y,x) \ 1) = L(y,y,x) * x. T(x,y) * L(R(L(y,z,u),x,L(L(y,z,u),w,v5)),w,v5) = T(x * L(L(y,w,v5),z,u),L(L(y,z,u),w,v5)). (x / (L(y,z,y) * z)) * L(L(y,z,y) * z,u,w) = (x / (z * y)) * L(z * y,u,w). ((x \ y) / y) \ L(x \ y,z,u) = (y / (y * x)) * L(y * x,z,u). (x * ((L(y,z,u) \ y) * w)) / ((x * (w * (K(v5,v6) * (v7 * v7)))) * (v7 \ (v7 \ K(v6,v5)))) = L(L(y,z,u) \ y,w * (K(v5,v6) * (v7 * v7)),x). L(x \ K(y,z),u,w) * ((x \ K(y,z)) \ v5) = (v5 / (x \ 1)) * L(x \ 1,u,w). (x \ K(y,z)) * (L(x \ K(y,z),u,w) \ v5) = x * (L(x,u,w) \ v5). (x * y) / T(a(z,u,w) * x,y) = (a(z,u,w) * x) \ (x * y). L(x,(y \ 1) * (y * z),u) = L(x,L(z,y,y \ 1),u). L(x,y * z,u) = L(x,z * y,u). L(x,(y \ z) * y,u) = L(x,z,u). 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,((y \ z) \ z) * u,w) = L(x,y * u,w). L(x,((y / z) * u) * w,v5) = L(x,((z \ y) * u) * w,v5). L(x,(y * z) * u,w) = L(x,(z * y) * u,w). L(x,L(y,z,u) * (u * z),w) = L(x,u * (z * y),w). L(x,(y * z) / u,w) = L(x,(z * y) / u,w). L(x,T(y,z) \ u,w) = L(x,y \ u,w). L(x,(T(y,z) * u) * w,v5) = L(x,(y * u) * w,v5). L(x,L(T(y,z),u,w) \ v5,v6) = L(x,L(y,u,w) \ v5,v6). L(x,y * T(z,u),w) = L(x,y * z,w). L(x,y \ T(z,u),w) = L(x,y \ z,w). L(x,y * (T(z,u) * w),v5) = L(x,y * (z * w),v5). L(x,y * K(z,u),w) = L(x,y,w). L(x,y * (z * ((u \ 1) \ 1)),w) = L(x,y * (z * u),w). L(x,(y * z) \ u,w) = L(x,(z * y) \ u,w). L(x,((y \ z) * y) \ u,w) = L(x,z \ u,w). L(x,(y \ T(z,u)) \ w,v5) = L(x,(y \ z) \ w,v5). L(x,y \ (y / z),u) = L(x,y \ (z \ y),u). L(x,L(y / z,u,w) \ v5,v6) = L(x,L(z \ y,u,w) \ v5,v6). L(x,T(y,z),u) != w | L(x,y,u) = w. L((T(x,y) \ (a(z,u,w) \ v5)) \ ((a(z,u,w) * T(x,y)) \ v5),T(x,y) \ (a(z,u,w) \ v5),x * a(z,u,w)) = a(T(x,y) \ (a(z,u,w) \ v5),x,a(z,u,w)). (T(x,y) \ (z \ u)) \ ((z * T(x,y)) \ u) = (((z * x) \ u) \ (x \ (z \ u))) \ 1. a(x,y,L(L(T(z \ 1,u) \ (w \ v5),v6,v7),z,w)) = a(x,y,L((w * T(z \ 1,u)) \ v5,v6,v7)). L(x,y / (z / (u * u)),w) = L(x,z \ (y * (u * u)),w). L(x,y / z,u / w) = L(x,z \ y,w \ u). x * L(y,z / u,w) = x * L(y,u \ z,w). L(x,(y * y) \ (z * u),w) = L(x,z * (u / (y * y)),w). L(x,R(y * K(z,y),z,u),w) = L(x,(z * u) \ ((z * y) * u),w). L(x,L((y * y) \ (z * u),w,v5),v6) = L(x,L(z * (u / (y * y)),w,v5),v6). K(x * K(y,z),y * z) = K(x,y * z). R(x,R(y * K(z,u),w,v5),v6) = R(x,R(y,w,v5),v6). R(x,(y * z) \ ((z * u) * y),w) = R(x,L(u,z,y),w). R(x,y * (K(z,u) * w),v5) = R(x,y * w,v5). a(x,T(y,z),u) = a(x,y,u). a(x,(y * z) / y,u) = a(x,z,u). a(x,y / z,u) = a(x,z \ y,u). a(x,y * z,u) = a(x,z * y,u). a(x,(y \ z) * y,u) = a(x,z,u). a(x,(y / z) * u,w) = a(x,(z \ y) * u,w). a(x,(y / z) \ u,w) = a(x,(z \ y) \ u,w). a(x,((y / z) * u) * w,v5) = a(x,((z \ y) * u) * w,v5). a(x,R(y / z,u,w),v5) = a(x,R(z \ y,u,w),v5). a(x,(y * z) * u,w) = a(x,(z * y) * u,w). a(x,(y * z) / u,w) = a(x,(z * y) / u,w). a(x,L(T(y,z),u,w),v5) = a(x,L(y,u,w),v5). 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,T(y,z) * u,w) = a(x,y * u,w). a(x,R(T(y,z),u,w) * v5,v6) = a(x,R(y,u,w) * v5,v6). a(x,y / (y / z),u) = a(x,z,u). a(x,y * T(z,u),w) = a(x,y * z,w). a(x,y \ T(z,u),w) = a(x,y \ z,w). a(x,(y * z) \ u,w) = a(x,(z * y) \ u,w). a(x,(y * K(z,u)) \ w,v5) = a(x,y \ w,v5). a(x,(y * (z / u)) \ w,v5) = a(x,(y * (u \ z)) \ w,v5). a(x,L(y / z,u,w) \ v5,v6) = a(x,L(z \ y,u,w) \ v5,v6). a(x,y,(y * x) \ z) \ z = x * (y * ((x * y) \ z)). a(((x \ K(y,z)) * u) * (x * x),w,v5) = a(K(y,z) * (u * x),w,v5). (x \ 1) / (T(x,x) \ L(x,y,z)) = x / (x * L(x,y,z)). (x \ L(x,y,z)) * ((u / (x \ L(x,y,z))) * L(x \ L(x,y,z),w,v5)) = L(L(x,y,z) / x,w,v5) * u. (x * (y * (z / u))) / (z / u) = (x * (y * (u \ z))) / (u \ z). T(x,y * T(z,K(u,w))) = T(x,y * z). x \ (y * K(z,K(u,w))) = K(z,K(u,w)) * (x \ y). K(x,T(K(y,z),u)) = K(x,K(y,z)). T((x \ y) * L((x \ y) \ y,z,u),w) = L(x,z,u) * (x \ T(y,w)). T(x,y) * L(L(R(y,x,L(L(y,z,u),w,v5)),z,u),w,v5) = T(x * L(L(y,w,v5),z,u),L(L(y,z,u),w,v5)). R(x,y \ 1,y) * K(z,u) = (x * (K(z,u) / y)) * y. R(x,y \ 1,y \ z) * z = (x * (y \ K(u,w))) * ((y \ K(u,w)) \ z). R(x,y,((z \ 1) \ ((z * z) \ u)) * w) = R(x,y,T(u / z,z \ 1) * w). a(x,T(y,z),T(u,w)) = a(x,y,u). a(x,L(y / z,u,w),v5) = a(x,L(z \ y,u,w),v5). a(x,R(y / z,z,u),w) = a(x,(z * u) \ (y * u),w). a(x,L(y,y,z) * z,u) = a(x,z / (y \ 1),u). a(x,y * (z / u),w) = a(x,y * (u \ z),w). a(x,y * (z * u),w) = a(x,y * (u * z),w). a(x,y * ((z \ u) * z),w) = a(x,y * u,w). a(x,y \ K(z,u),w) = a(x,y \ 1,w). a(x,y \ ((z \ u) * z),w) = a(x,y \ u,w). a(x,y \ (z * u),w) = a(x,y \ (u * z),w). a(x,(y * z) \ ((z * u) * y),w) = a(x,L(u,z,y),w). a(x,y * (z * (u / w)),v5) = a(x,y * (z * (w \ u)),v5). a(x,y \ (z / u),w) = a(x,y \ (u \ z),w). a(x,y * (K(z,u) * w),v5) = a(x,y * w,v5). a(x,y \ (K(z,u) * w),v5) = a(x,y \ w,v5). a(x,y,(z * (u * w)) \ (u * (z * w))) = a(x,y,a(z,w,u)). x * K(((y * z) \ x) * K(y,z),y * z) = ((y * z) \ x) * (y * z). x * K(T((y * z) \ x,K(z,y)),z * y) = ((z * y) \ x) * (z * y). (x * ((L(y,z,u) \ y) * w)) / (x * ((w * (K(v5,v6) * (v7 * v7))) * (v7 \ (v7 \ K(v6,v5))))) = L(L(y,z,u) \ y,w * (K(v5,v6) * (v7 * v7)),x). (x / (y \ K(z,u))) * L(y \ K(z,u),w,v5) = (x / (y \ 1)) * L(y \ 1,w,v5). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. T(x,L(x,y,z) \ u) = T(x,x \ u). L(T(x,x \ (L(x,y,z) \ u)),y,z) \ u = (L(x,y,z) \ (L(x,y,z) \ u)) * L(x,y,z). x / L((y \ x) \ x,z,u) = L(y,z,u) \ x. x / L(y \ x,z,u) = L(x / y,z,u) \ x. T(x,L(x,y,z) \ u) = K(x,x \ u) * x. T(x,x \ (L(x,y,z) * u)) = T(x,u). (L(x,y,z) \ (L(x,y,z) \ x)) * L(x,y,z) = L(T(x,L(x,y,z) \ 1),y,z) \ x. (L(x,y,z) \ u) \ u = L((x \ u) \ u,y,z). L(x / (x / y),z,u) \ x = x / L(y,z,u). x / (x / L(y \ x,z,u)) = L(x / y,z,u). (L(x / y,z,u) \ x) \ x = L(y \ x,z,u). (x \ y) * (L(x \ y,z,u) \ x) = L(y / x,z,u) \ y. x / (L(y \ T(x,z),u,w) * K(z,x)) = L(T(x,z) / y,u,w) \ T(x,z). K(x,y) * (L(1 / z,u,w) \ 1) = K(x,y) / L(z \ 1,u,w). L(x / (y \ z),y \ z,y) \ x = x / (z \ (y * x)). T(x * (L(y \ x,z,u) \ 1),L(x / y,z,u) \ x) = x * (L(y \ x,z,u) \ 1). x / ((L(1 / y,z,u) \ 1) \ L(y \ 1,z,u)) = x * (L(y \ 1,z,u) \ (1 / L(y \ 1,z,u))). (x \ y) * (L(x \ y,z,u) \ T(x,w)) = K(x,w) * (L(y / x,z,u) \ y). (x \ (x \ 1)) * (L(x \ 1,y,z) \ (1 / L(x \ 1,y,z))) = L(x,y,z) \ (L(1 / x,y,z) \ 1). K(x,L(x,y,z) \ u) = K(x,x \ u). T(x,L(x,y,z) * (x \ u)) = T(x,u). (L(x,y,z) * u) / L(T(x,u),w,v5) = L(x,w,v5) \ (L(x,y,z) * u). (L(x,y,z) \ (L(x,y,z) \ x)) * L(x,y,z) = L(T(x,x \ 1),y,z) \ x. ((L(x,y,z) \ 1) * u) * L((x \ 1) \ 1,y,z) = ((1 / L(x,y,z)) * u) * L(x,y,z). a(x,y,z * ((u \ L((w \ 1) \ 1,v5,v6)) * v7)) = a(x,y,(v7 * (u \ (L(w,v5,v6) \ 1))) * z). x / (x / L(y,z,u)) = L(x / (x / y),z,u). L(1 / (K(x,y) / y),z,u) = 1 / (1 / L(T(y,x),z,u)). L(1 / x,x,y) \ 1 = x * a(y,x,x). L(1 / x,y,y) \ 1 = x * a(y,y,x). L(1 / x,y,z) \ 1 = x * (L(x,y,z) \ x). a(x * (y * (L(z / u,w,v5) \ z)),v6,v7) = a(x * (y * (L(u \ z,w,v5) \ z)),v6,v7). 1 / (x * (L(x,y,z) \ x)) = L(1 / x,y,z). (x * y) \ (L(z / (x * y),y,x) \ z) = a(x,y,(x * y) \ z). x \ (L(1 / x,y,z) \ 1) = L(x,y,z) \ x. (x * L(x \ y,z,u)) \ y = x \ (L(y / x,z,u) \ y). x \ (L((y \ x) / x,z,u) \ (y \ x)) = x \ ((y \ L(y,z,u)) \ x). x / L((y \ T(x,z)) * K(z,x),u,w) = L(T(x,z) / y,u,w) \ T(x,z). K(x,y) * (L(1 / z,u,w) \ 1) = 1 / L(z \ K(y,x),u,w). (x \ y) * (L(x \ y,z,u) \ T(x,w)) = L(y / T(x,w),z,u) \ y. T(x,y) \ ((x \ z) * (L(x \ z,u,w) \ T(x,y))) = x \ (L(z / x,u,w) \ z). R(x,y / (y / z),y / (y / z)) \ (x * (y / (y / z))) = y / (y / L(z,y / (y / z),L(x,y / (y / z),y / (y / z)))). L(x,x \ 1,(x \ 1) \ y) = L(1 / (1 / x),x,y). L(x / (x / y),y,L(z,y,y)) = x / (x / L(y,y,z)). L(1 / (K(x,y) / y),z,u) = L(1 / (1 / T(y,x)),z,u). L(T(x,y) / z,u,w) \ T(x,y) = x / L(z \ x,u,w). L(T(1 / (1 / x),y),z,u) = L(1 / (K(y,x) / x),z,u). L((1 / a(x,y,z)) * K(z,y),(x * (z * y)) \ ((x * y) * z),x * (z * y)) = 1 / (1 / (((x * y) * z) \ (x * (z * y)))). L((a(x,y,z) \ 1) * K(z,y),(x * (z * y)) \ ((x * y) * z),x * (z * y)) = 1 / (1 / (((x * y) * z) \ (x * (z * y)))). K(x,y / L(x,z,u)) = K(x,x \ y). (x * (L(x,y,z) \ u)) \ K(x,x \ u) = ((L(x,y,z) \ u) * x) \ 1. L(T(x,y) / z,u,w) \ T(x,y) = L(x / z,u,w) \ x. T(x,x * (L(x,y,z) \ u)) = T(x,u). K(x \ y,(x \ y) \ z) = K(x \ y,(z / y) * x). (L(x,y,z) \ x) \ K(x,x \ 1) = ((L(x,y,z) \ 1) * x) \ 1. L(T(x,x \ 1),y,z) \ x = (L(x,y,z) \ 1) * x. (x * (L(x,y,z) \ u)) * L(L(T(x,u),w,v5),v6,v7) = L(L(x,w,v5),v6,v7) * (x * (L(x,y,z) \ u)). (x \ y) * K(x \ y,(x \ y) \ z) = T(x \ y,(z / y) * x). L(x,y,z) \ (1 / (1 / x)) = (L(x,y,z) \ 1) * x. L((x \ y) / z,u,w) \ T(y / x,x) = L((y / x) / z,u,w) \ (y / x). x / T(y \ z,(x / z) * y) = (y \ z) \ x. L((x / y) / z,u,w) \ (x / y) = L((y \ x) / z,u,w) \ (y \ x). L(x,(y * z) \ (z * (u * y)),w) = L(x,L(T(u,y),y,z),w). L(x,y / T(z,u),w) = L(x,z \ y,w). L(x,((y * z) \ ((u * z) * y)) \ w,v5) = L(x,R(u * K(z,y),z,y) \ w,v5). L(x,y \ z,L(y \ z,y,y \ 1)) = L(x,(y \ 1) * z,y \ z). L(x,((y \ 1) \ z) * y,u) = L(x,z * (y * y),u). L(x,L(y * z,u,w),v5) = L(x,L(z * y,u,w),v5). L(x,L(y,z,u) * (z * u),w) = L(x,u * (T(z,u) * y),w). a(x,y,L(z,(u * u) \ w,v5)) = a(x,y,L(z,w,v5)). L(x,K(y,z) * (u * w),v5) = L(x,w * u,v5). L(x,y * z,u * w) = L(x,z * y,w * u). L(x,y * (T(z,u) * w),v5) = L(x,(z * w) * y,v5). L(x,(y \ z) * u,w) = L(x,u * (z / y),w). L(x,(y \ 1) * (y * z),u) = L(x,R(z,y,y),u). (x * (y * z)) * L(u,z * y,x) = x * ((y * z) * u). a(x,y,L(z,u * w,v5) * (v5 * (w * u))) = a(x,y,v5 * ((w * u) * z)). a(x,y,L(z,u * w,v5 * v6)) = a(x,y,L(z,w * u,v6 * v5)). L(x,((y * z) \ y) * z,u) = L(x,a(y,z,z) \ 1,u). L((x * y) \ L(x * y,z,u),y * x,w) \ w = w * (((w / (x * y)) * L(x * y,z,u)) \ w). L(x,(y * (z * u)) * (K(w,v5) * v6),v7) = L(x,v6 * (y * (z * (u * K(w,v5)))),v7). L(x,(y * z) * u,w) = L(x,u * (z * y),w). L(((x * y) * z) \ L((x * y) * z,u,a(w,v5,v6)),(y * x) * z,u * a(w,v5,v6)) = a((x * y) * z,u,a(w,v5,v6)). L(x,(y * z) * a(u,w,z),v5) = L(x,z * (y * a(u,w,z)),v5). L(x,(y * z) / u,w) = L(x,u \ (z * y),w). L(x,(y * z) * T(u,w),v5) = L(x,(z * y) * u,v5). 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 * z) \ z),u) = L(x,y * (z \ 1),u). L(x,y \ (z / u),w) = L(x,y \ (u \ z),w). L(x,y \ R(z / u,w,v5),v6) = L(x,y \ R(u \ z,w,v5),v6). L(x,y \ R(z / u,u,w),v5) = L(x,y \ ((u * w) \ (z * w)),v5). L(x,y \ ((z * u) * (z \ 1)),w) = L(x,y \ R(u,z,z),w). L(x,y \ (R(z,u,w) \ (v5 * z)),v6) = L(x,y \ (z * (R(z,u,w) \ v5)),v6). L(x,y \ (L(z,u,w) \ (v5 * z)),v6) = L(x,y \ (z * (L(z,u,w) \ v5)),v6). L(x,y * R(z * u,u \ 1,u),w) = L(x,y * (R(z,u,u) * u),w). L(x,y \ (y / z),(u \ (w / v5)) \ v6) = L(x,y \ (z \ y),(u \ (v5 \ w)) \ v6). L(L(x \ 1,x,x \ y) \ z,y \ (x \ y),y) = (y / x) \ (y * z). L(x,L(y,y,z),u) = L(x,z \ ((y \ 1) \ z),u). L(L(x,y \ (z \ y),z),z * (y \ (y / z)),z) = z * (z * (L(z,z,z \ y) \ ((y \ (y / z)) * x))). L(x,(y / (z * z)) \ u,w) = L(x,y \ (u * (z * z)),w). L(x,(y * z) \ ((y * u) * z),w) = L(x,R(u,y,z),w). x * K((y * z) \ x,z * y) = ((z * y) \ x) * (z * y). R(x,a(y,z,(z * y) \ 1),a(y,z,(z * y) \ 1)) / (y * (z * ((y * z) \ 1))) = x * a(y,z,(z * y) \ 1). R(x,(y * z) \ ((y * u) * z),w) = R(x,L(u,y,z),w). a(x,(T(y,z) \ u) \ w,v5) = a(x,(y \ u) \ w,v5). a(x,(y * (z * u)) \ w,v5) = a(x,(y * (u * z)) \ w,v5). a(x,(y * (K(z,u) * w)) \ v5,v6) = a(x,(y * w) \ v5,v6). a(x,(y * z) \ (z * (u * y)),w) = a(x,L(T(u,y),y,z),w). a(x,((y \ z) * (y * y)) \ u,w) = a(x,(z / (y \ 1)) \ u,w). a(x,y / z,(u / w) * L(u / w,w,w)) = a(x,z \ y,a(u,w,w \ u)). a(x,T(y / z,u),w) = a(x,z \ y,w). a(x,y / (z * (u * u)),w) = a(x,z \ (y / (u * u)),w). a(x,y / (z / (u * u)),w) = a(x,z \ (y * (u * u)),w). a(x,(y * y) \ (z * u),w) = a(x,z * (u / (y * y)),w). L((1 / x) * y,z,a(a(u,w,u) / x,x \ a(u,w,u),y)) = (1 / x) * y. a(x,y * ((z * y) \ u),w) = a(x,y * ((y * z) \ u),w). a(x,((y \ 1) \ z) * y,u) = a(x,z * (y * y),u). a(x,(y \ z) * (y \ 1),u) = a(x,z / (y * y),u). K(x,T(y,z)) * T(z,u) = T(z,u) * K(x,y). K(x,T(y,z * u)) = K(x,T(y,u * z)). L(x,y * (z * u),w) = L(x,y * (u * z),w). L(x,y * (z * K(u,w)),v5) = L(x,y * z,v5). L(x,y \ (z * K(u,w)),v5) = L(x,y \ z,v5). L(x,y \ K(z,u),w) = L(x,y \ 1,w). L(x,y \ (z * u),w) = L(x,y \ (u * z),w). L(x,(y * z) \ ((z * u) * y),w) = L(x,L(u,z,y),w). L(x,y \ (z * T(u,w)),v5) = L(x,y \ (z * u),v5). L(x,y * (z * (u / w)),v5) = L(x,y * (z * (w \ u)),v5). L(x,y \ (z * (u * T(w,v5))),v6) = L(x,y \ (z * (u * w)),v6). L(x,y \ (z \ (u * T(w,v5))),v6) = L(x,y \ (z \ (u * w)),v6). L(x,L(y * K(z,u),w,v5),v6) = L(x,L(y,w,v5),v6). L(x,L(y \ K(z,u),w,v5),v6) = L(x,L(y \ 1,w,v5),v6). L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5). L(x,y \ (K(z,u) * w),v5) = L(x,y \ w,v5). a(x,y,(z * u) \ (w \ (z * (u * w)))) = a(x,y,a(w,u,z)). a(x,K(y,z) * (u * w),v5) = a(x,w * u,v5). a(x * y,z * u,w) = a(y * x,u * z,w). a(x,y * R(T(z,u),w,v5),v6) = a(x,R(z,w,v5) * y,v6). a(x,(y * z) * u,w) = a(x,u * (z * y),w). a(x,(y * z) / u,w) = a(x,u \ (z * y),w). a(x,y * ((z * z) \ z),u) = a(x,y * (z \ 1),u). a(x * (y * (L(1 / z,u,w) \ 1)),v5,v6) = a(x * (y * (z * (L(z,u,w) \ z))),v5,v6). a(((x \ K(y,z)) * u) * (x * x),w,v5) = a(u * x,w,v5). (x * (y \ 1)) * ((y \ K(z,u)) \ 1) = (x * ((1 / y) * K(u,z))) * y. (x \ 1) / (x \ L(x,y,z)) = x / (x * L(x,y,z)). a(x,R(y \ z,y,u),w) = a(x,(y * u) \ (z * u),w). L(L(T(x,y),z,u),w,v5) * (L(x,z,u) \ (y * x)) = L(L(x,z,u),w,v5) * (x * (L(x,z,u) \ y)). R(x * K(y,z),u \ 1,u) = (x * (K(y,z) / u)) * u. (x * (K(y,z) / z)) * T(z,y) = R(x,z \ 1,z). R(x,y,((z \ 1) \ ((z * z) \ u)) * w) = R(x,y,(z \ u) * w). L(x,(y * z) \ (z * (u * y)),w) = L(x,L(u,y,z),w). L(x,L(y,z,u) * (z * u),w) = L(x,u * (z * y),w). L(x,((y \ z) * y) * u,w) = L(x,u * z,w). L(x,(y * T(z,u)) * w,v5) = L(x,w * (y * z),v5). a(x,y,L(L(z,u * w,v5 * v6),v7,v8)) = a(x,y,L(L(z,v7,v8),w * u,v6 * v5)). L(x,L(y,z,z \ 1),u) = L(x,R(y,z,z),u). L(x,y * ((z \ 1) * (u * z)),w) = L(x,R(u,z,z) * y,w). L(x,((y \ 1) * (z * y)) * u,w) = L(x,u * R(z,y,y),w). L(x,y * ((R(z,z,u) \ u) * z),w) = L(x,L(u,z,z) * y,w). L(x,y * ((K(z \ u,z) * w) * u),v5) = L(x,(((z \ u) * z) * w) * y,v5). L(x,y * ((L(z,z,u) \ u) * z),w) = L(x,R(u,z,z) * y,w). L(x,(y * z) \ (z * (u * y)),w) = L(x,R(u,y,z),w). L(x,(y * y) \ (z * u),w) = L(x,u * (z / (y * y)),w). L(x,(y \ 1) * z,y \ z) = L(x,y \ z,(1 / y) * z). L(x,((y \ 1) * z) * (y * y),u) = L(x,z * y,u). L(x,R(y,z,u) * (u * z),w) = L(x,(z * y) * u,w). L(x,(y * y) \ (z * u),w) = L(x,z * ((y * y) \ u),w). L(x,y * ((z * z) \ (u * w)),v5) = L(x,y * (u * (w / (z * z))),v5). L(x,y \ R(z \ u,z,w),v5) = L(x,y \ ((z * w) \ (u * w)),v5). L(x,y \ (z \ y),(y \ (z \ y)) \ 1) * 1 = x * (((z * a(z \ y,z,z)) * ((y \ (y / z)) * x)) / x). L(L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y),w,L(x \ 1,x,x \ y)) = (y / x) \ (y * L(L(x \ 1,x,x \ y),z,u)). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = (L(L(x \ 1,x,x \ y),z,u) \ L(x \ 1,x,x \ y)) * ((y / x) \ (y * L(L(x \ 1,x,x \ y),z,u))). a(x,(y * (T(z,y * u) * u)) \ w,v5) = a(x,(L(z,u,y) * (y * u)) \ w,v5). a(x,(L(y,z,u) * (u * z)) \ (y * (z * u)),w) = a(x,a(u,z,y),w). a(x,(y * ((K(z,u) * w) * (v5 \ z))) \ v6,v7) = a(x,(y * ((v5 \ T(z,u)) * w)) \ v6,v7). a(x,(y \ z) * (y * y),u) = a(x,(y \ 1) \ z,u). a(x,(y * (z * z)) \ u,w) = a(x,y \ (u / (z * z)),w). a(x,(y / (z * z)) \ u,w) = a(x,y \ (u * (z * z)),w). a(x,y * ((y * z) \ z),u) = a(x,a(z,y,y) \ 1,u). a(x,((y \ z) * (y * y)) \ u,w) = a(x,((y \ 1) \ z) \ u,w). a(x,(y * z) \ (z * (u * y)),w) = a(x,L(u,y,z),w). a(x,L(y,y,z) * z,u) = a(x,(y \ 1) \ z,u). a(x,((y \ z) * y) * u,w) = a(x,u * z,w). a(x,y * (K(z,u) * w),v5) = a(x,w * y,v5). a(x,(R(T(y,z),u,w) \ v5) * v6,v7) = a(x,v6 * (R(y,u,w) \ v5),v7). a(x,(L(T(y,z),u,w) \ v5) * v6,v7) = a(x,v6 * (L(y,u,w) \ v5),v7). a(x,y,a(z * u,z * u,w)) = a(x,y,a(w,u * z,u * z)). a(x,L(y,z,u) * (z * u),w) = a(x,u * (z * y),w). a(x,(y * z) \ (z * (u * y)),w) = a(x,R(u,y,z),w). a(x,((y / T(z,z \ 1)) \ u) * ((z \ 1) * (z \ 1)),w) = a(x,(z \ ((y / z) \ u)) * (z \ 1),w). a(x,(y \ z) * (y \ 1),u) = a(x,(y * y) \ z,u). a(x,(y * y) \ (z * u),w) = a(x,z * ((y * y) \ u),w). a(x,y * R(z * K(u,z),u,w),v5) = a(x,y * ((u * w) \ ((u * z) * w)),v5). x / (y * ((y \ (x / z)) * z)) = a(y,y \ (z \ x),z). L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). T(x,y) * L(L(R(y,x,L(L(y,z,u),w,v5)),z,u),w,v5) = T(x * L(L(y,w,v5),z,u),y). ((x * (y * z)) * (1 / ((1 / a(x,z,y)) * K(y,z)))) \ (x * (y * z)) = 1 / (1 / (((x * z) * y) \ (x * (y * z)))). L(x,y \ (z * (y * y)),u) = L(x,(y \ 1) \ z,u). L(a(x,y,z) \ K(z,y),(x * (z * y)) \ ((x * y) * z),x * (z * y)) = 1 / (1 / (((x * y) * z) \ (x * (z * y)))). R(x,y,z * ((u \ 1) \ w)) = R(x,y,(u \ w) * z). a(x,y * (z * (u \ K(w,v5))),v6) = a(x,y * (z * (u \ 1)),v6). a(x,y * R(z * K(u,w),v5,v6),v7) = a(x,y * R(z,v5,v6),v7). a(x,y,((z \ K(u,w)) \ v5) * v6) = a(x,y,(z \ v5) * v6). a(x,y,(K(z,u) * (w * (v5 * (v6 * z)))) * v7) = a(x,y,v7 * ((v5 * (v6 * T(z,u))) * w)). a(x,y,L(z * ((u * w) * (1 / w)),v5,v6)) = a(x,y,L(z * L(u,w,w \ 1),v5,v6)). ((x * ((x \ K(y,z)) * a(u,w,v5))) \ a(u,w,v5)) * K(y,z) = a(x,x \ 1,a(u,w,v5)). a(x,L(y \ z,y,u),w) = a(x,(u * y) \ (z * u),w). a(x,y \ (((z * z) \ 1) * u),w) = a(x,y \ (u / (z * z)),w). a(x,(y * (z \ 1)) \ (((z \ 1) * (1 / z)) * y),u) = a(x,y \ (y / z),u). (L(x / y,z,u) \ (x / y)) * (y \ x) = L(1 / (y \ x),z,u) \ 1. L(1 / x,y,z) \ 1 = (L(x,y,z) \ x) * x. L(1 / x,y,z) \ 1 = L(x,y,z) \ (x * x). x * (L(1 / y,z,u) \ 1) = x * (y * (L(y,z,u) \ y)). (L(1 / x,y,z) \ 1) * u = (x * (L(x,y,z) \ x)) * u. (L(x,y,z) \ x) \ (L(1 / x,y,z) \ 1) = x. L(x,y,z) \ (L(1 / x,u,w) \ 1) = x * (L(x,y,z) \ (L(x,u,w) \ x)). (1 / x) * (L(1 / x,y,z) \ (1 / x)) = 1 / L(x,y,z). L(x,x,y) \ x = x \ (1 / ((y * x) \ y)). L(1 / x,y \ 1,y) \ 1 = x * a(y,y \ 1,x). x / (L(1 / y,z,u) \ 1) = x / ((L(y,z,u) \ y) * y). L(x \ R(x,y * (L(y,z,u) \ y),L(1 / y,z,u)),x,1) = a(x,L(1 / y,z,u) \ 1,L(1 / y,z,u)). a(x,y,((z * (L(z,u,w) \ z)) * v5) * v6) = a(x,y,v6 * (v5 * L(1 / z,u,w))). a(x,y,z * ((u * (L(u,w,v5) \ u)) * v6)) = a(x,y,z * (v6 * L(1 / u,w,v5))). a(x,y,z \ (u \ ((w * (L(w,v5,v6) \ w)) * v7))) = a(x,y,z \ (u \ (v7 * L(1 / w,v5,v6)))). a(x,y,z \ ((u * (w * (L(w,v5,v6) \ w))) * v7)) = a(x,y,z \ (v7 * (u * L(1 / w,v5,v6)))). (x / y) * (L(1 / y,z,u) \ 1) = x * L(L(y,z,u) \ y,y,x). L(L(x,y,z) \ x,x,u) * u = (u / x) * (L(1 / x,y,z) \ 1). K(x,y) * (z * (L(z,u,w) \ z)) = 1 / L(z \ K(y,x),u,w). (x * ((L(y,z,u) \ y) * w)) / (x * (w * ((K(v5,v6) * (v7 * v7)) * (v7 \ (v7 \ K(v6,v5)))))) = L(L(y,z,u) \ y,w * (K(v5,v6) * (v7 * v7)),x). (x / T(y,z)) * L((x / T(y,z)) \ u,w,v5) = L(u / (x / y),w,v5) * (x / y). L(x,y * (((z \ u) * z) * w),v5) = L(x,y * (u * w),v5). L(x,y * (z * (u * T(w,v5))),v6) = L(x,y * (z * (u * w)),v6). L(x,y * (z \ (u / w)),v5) = L(x,y * (z \ (w \ u)),v5). L(x,y * (z * (K(u,w) * v5)),v6) = L(x,y * (z * v5),v6). (x / T(y,z)) * L((x / T(y,z)) \ u,w,v5) = (y \ x) * L((y \ x) \ u,w,v5). ((x * (y * (K(z,u) / w))) / (1 / w)) * K(u,z) = ((x * y) / (w \ 1)) * L(w \ 1,y,x). a(x,x \ K(y,z),u * L(u \ K(z,y),w,v5)) = (x * ((x \ 1) * (u * L(u \ 1,w,v5)))) \ (u * L(u \ 1,w,v5)). a(x,y,L(z,u * w,u \ w) * ((w * u) * (u \ w))) = a(x,y,(w / u) * ((((u \ w) * u) * u) * z)). T(a(x \ 1,x,y) * (z * L(y,x,x \ 1)),K(z,y)) = L(z,R(y,x,x),a(x \ 1,x,y)) * y. L(x,y \ (T(z,u) * w),v5) = L(x,y \ (z * w),v5). L(x,y \ (z \ ((u \ w) * u)),v5) = L(x,y \ (z \ w),v5). L(x,y \ ((z * u) \ ((u * w) * z)),v5) = L(x,y \ L(w,u,z),v5). L(x,y \ (z \ (u / w)),v5) = L(x,y \ (z \ (w \ u)),v5). K(x,y) * (L(a(z,u,w),v5 \ 1,v5) \ v6) = (v5 * ((v5 \ K(y,x)) * a(z,u,w))) \ v6. L(x,y \ ((z \ 1) * (z * u)),w) = L(x,y \ R(u,z,z),w). L(x,(y * z) \ ((y * u) * z),w) = L(x,L(u,y,z),w). L(x,R(y,z,z),u) = L(x,L(y,z,z),u). L(x,L((y * y) \ (z * y),u,w),v5) = L(x,L(L(y \ z,u,w),y,y),v5). L(x,y \ ((z * T(u,w)) * v5),v6) = L(x,y \ (v5 * (z * u)),v6). L(x,y \ (z \ (u * (w / v5))),v6) = L(x,y \ (z \ (u * (v5 \ w))),v6). L(L(x \ 1,y,z) \ L(L(x \ 1,y,z),u,w),L(x \ K(v5,v6),y,z),v7) \ v7 = L(x \ 1,y,z) * (L(L(x \ 1,y,z),u,w) \ v7). L(x,L(y \ 1,y,z),u) = L(x,z \ (y \ z),u). L(x,y * (K(z \ u,z) * (w * u)),v5) = L(x,(((z \ u) * z) * w) * y,v5). a(x,y,L(z,(u \ 1) * w,v5)) = a(x,y,L(z,w * u,v5)). L(x,(y * (z * u)) / T(u * y,w),v5) = L(x,L(z,u,y),v5). L(x,R(y,z,u),w) = L(x,L(y,z,u),w). L(x,y * ((z * z) \ u),w) = L(x,u * (y / (z * z)),w). L(x,y * ((z * z) \ (u * w)),v5) = L(x,y * (u * ((z * z) \ w)),v5). L(x,(y \ ((z \ u) * z)) / w,v5) = L(x,w \ (y \ u),v5). L(x,y \ R(z \ (z * u),z,z),w) = L(x,y \ L(u,z,z),w). L(x,y \ ((z / u) * w),v5) = L(x,y \ ((u \ z) * w),v5). L(x,y \ ((z * T(u,w)) * L(v5,z,T(u,w))),v6) = L(x,y \ (u * (T(z,T(u,w)) * v5)),v6). (x * ((x \ K(y,z)) * a(u,w,v5))) \ v6 = K(z,y) * (L(a(u,w,v5),x,x) \ v6). L(x,y * (z * (u * (w * K(v5,v6)))),v7) = L(x,(z * (u * w)) * y,v7). L(x,(y \ T(z,u)) * w,v5) = L(x,(y \ z) * w,v5). L(x,(y \ (z / u)) * w,v5) = L(x,(y \ (u \ z)) * w,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 \ (z * z)) \ (((y \ 1) * u) * (z * z)),w) = L(x,L(u,y \ 1,z * z),w). L(x,L(y * (z / (z * z)),u,w),v5) = L(x,L(L(z \ y,u,w),z,z),v5). L(x,(y \ z) * (y * y),u) = L(x,(y \ 1) \ z,u). L(x,(y \ 1) * (y * z),u) = L(x,L(z,y,y),u). R(x,a(y,z,z * y),a(y,z,(z * y) \ 1)) / (y * (z * ((y * z) \ 1))) = x * a(y,z,(z * y) \ 1). a((x \ K(y,z)) * (u * (x * x)),w,v5) = a(u * x,w,v5). a(x,y * L(z * K(u,w),v5,v6),v7) = a(x,L(z,v5,v6) * y,v7). a(x,(y * (z * z)) \ u,w) = a(x,y \ ((z * z) \ u),w). a(x,(y * z) \ (u * (z * z)),w) = a(x,(y * (z \ 1)) \ u,w). a(x,(y * (K(z,u) * (w * (v5 \ z)))) \ v6,v7) = a(x,(y * ((v5 \ T(z,u)) * w)) \ v6,v7). a(x,((y / T(z,z \ 1)) \ u) * ((z \ 1) * (z \ 1)),w) = a(x,(z * z) \ ((y / z) \ u),w). a(x,R(y,z,u),w) = a(x,L(y,z,u),w). a(x,(y * z) * ((y * y) \ y),u) = a(x,L(z,y,y),u). (K(x,y) * (L(a(z,u,w),v5,v5) \ a(z,u,w))) * K(y,x) = a(v5,v5 \ 1,a(z,u,w)). 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). a(x,y * ((z * z) \ z),u) = a(x,L(z \ y,z,z),u). a(x,y \ (((z * z) \ 1) * u),w) = a(x,y \ ((z * z) \ u),w). a(x,(y * (z \ 1)) \ ((z \ (z \ 1)) * y),u) = a(x,y \ (y / z),u). (x * (y \ 1)) * ((y \ K(z,u)) \ 1) = (x * (1 / y)) * (K(u,z) * y). x / (x * L(x,y,z)) = L(x,y,z) \ 1. L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). L(x,(y \ 1) * z,y \ z) = L(x,y \ z,(y \ 1) * z). T(x,y) * L(L(R(y,x,y),z,u),w,v5) = T(x * L(L(y,w,v5),z,u),y). ((x * (y * z)) * (1 / ((a(x,z,y) \ 1) * K(y,z)))) \ (x * (y * z)) = 1 / (1 / (((x * z) * y) \ (x * (y * z)))). L(a(x,y,z) \ K(z,y),K(y,z) * a(x,y,z),x * (z * y)) = 1 / (1 / (((x * y) * z) \ (x * (z * y)))). a(x,y,(z \ (K(u,w) * (v5 * (v6 \ u)))) * v7) = a(x,y,v7 * (z \ ((v6 \ T(u,w)) * v5))). a(x,y,(z \ (1 / u)) * (w * ((u * z) \ K(u,u \ 1)))) = a(x,y,(z * u) * ((z \ (u \ 1)) * w)). a(x,y,z * ((u * (w * T(v5,v6))) * v7)) = a(x,y,(v7 * (u * (w * v5))) * z). a(x,y,L(z * ((u * w) * (w \ 1)),v5,v6)) = a(x,y,L(z * L(u,w,w \ 1),v5,v6)). a((x * y) \ x,y,y \ 1) = ((x * (1 / (1 / y))) \ x) \ ((x * y) \ x). (x \ y) * (L(x \ y,z,u) \ (x \ y)) = L(1 / (x \ y),z,u) \ 1. (L(1 / x,y,z) \ 1) * L(u,x,L(x,y,z) \ x) = (L(x,y,z) \ x) * (x * u). L(L(x,y,z) \ x,u,w) \ (L(1 / x,y,z) \ 1) = (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ x). (x * ((L(y,z,u) \ y) * (y \ 1))) / (y \ 1) = (x * (L(1 / y,z,u) \ 1)) / y. ((L(x,y,z) \ x) * (u * x)) / (L(1 / x,y,z) \ 1) = R(u,x,x * L(x,y,z)). R(L(x,y,z) \ x,x,(x * (L(x,y,z) \ x)) \ u) \ u = x * ((L(1 / x,y,z) \ 1) \ u). L(1 / x,x,y) \ 1 = a(y,x,x) * x. a(x,y,(L(1 / (z * u),w,v5) \ 1) * v6) = a(x,y,L((u \ 1) * z,w,v5) * v6). (x \ 1) * (L(1 / x,y,z) \ 1) = (L(x,y,z) \ 1) * x. (x * (L(x,y,z) \ x)) \ ((x * (L(x,y,z) \ x)) \ 1) = ((x * (L(x,y,z) \ x)) \ 1) * L(1 / x,y,z). 1 / ((x \ y) * (((x \ y) / y) * x)) = L(1 / (x \ y),x,y \ (x \ y)). L(1 / x,y,L(x,z,u)) = 1 / (x * (L(x,y,x) \ x)). 1 / (a(x,y,z) * (L(a(x,y,z),z,u) \ a(x,y,z))) = L(1 / a(x,y,z),z,z \ u). 1 / (a(x,y,z) * (L(a(x,y,z),z,u) \ a(x,y,z))) = L(1 / a(x,y,z),z,u * z). (L(L(x,y,z) \ x,u,w) \ (L(1 / x,y,z) \ 1)) / (L(x,y,z) \ x) = x / L(L(x,y,z) \ x,u,w). (1 / x) * (L(x \ 1,y,z) \ (x \ 1)) = 1 / L(x,y,z). a(x,y,y) \ (1 / ((x * y) \ x)) = y. (x * a(y,y,x)) * L((L(1 / x,y,y) \ 1) \ z,u,w) = L(1 / x,y,y) * L(L(1 / x,y,y) \ z,u,w). (x / y) * (L(1 / y,z,z) \ 1) = (y * a(z,z,y)) * (y \ x). L(x \ R(x,y * (L(y,z,u) \ y),L(y,z,u)),x,1) = a(x,L(1 / y,z,u) \ 1,L(1 / y,z,u)). (x * (L(x,y,z) \ x)) \ K(u,w) = L(x \ K(u,w),y,z). a(x,y,(z * ((u * (L(u,w,v5) \ u)) * K(v6,v7))) \ v8) = a(x,y,(z * (1 / L(u \ K(v7,v6),w,v5))) \ v8). (x * ((L(y,z,u) \ y) * w)) / (x * (w * (K(v5,v6) * ((v7 * v7) * (v7 \ (v7 \ K(v6,v5))))))) = L(L(y,z,u) \ y,w * (K(v5,v6) * (v7 * v7)),x). ((x * (y * (K(z,u) / w))) / (1 / w)) * K(u,z) = (x * (y * (w \ 1))) / (w \ 1). L(x,a(y,z,u) \ 1,a(y,z,u) \ w) * w = (x * (a(y,z,u) \ K(v5,v6))) * ((a(y,z,u) \ K(v5,v6)) \ w). R(x,y / (y / z),y / (y / z)) \ (x * (y / (y / z))) = y / (y / L(z,y / (y / z),L(x,y / (y / z),z))). L(x,(((y \ z) * y) * u) * w,v5) = L(x,w * (u * z),v5). L(x,y * ((z * y) / T(y * y,u)),w) = L(x,L(z,y,y),w). L(x,R(y,z,u),x) = L(x,y,x). (a(x,y,z) * R(u,w,v5)) \ ((R(u,w,v5) * v6) * a(x,y,z)) = L(v6,L(u,w,v5),a(x,y,z)). L(x,L(y \ (z \ y),u,z),w) = L(x,y \ (z \ y),w). L(x,R(L(y,z,u),w,v5),v6) = L(x,L(L(y,w,v5),z,u),v6). L(x,L(y,z,u * u),w) = L(x,y,w). L(x,L(y,z,(u * u) \ w),v5) = L(x,R(y,z,w),v5). L(x,L(y,z,(u \ 1) \ w),v5) = L(x,R(y,z,u \ w),v5). a(x,y,(R(z,u,w) * v5) * L(v6,L(z,u,w),v5 \ 1)) = a(x,y,v5 * (R(z,u,w) * v6)). a(x,y,L(R(z,u,(z * u) \ w),L(z,u,(z * u) \ w),w)) = a(x,y,w \ (u * ((z * u) \ w))). x * L(y,L(x,x,z),z \ L(z,x,x)) = (x / R(x,x,z)) * (R(x,x,z) * y). R(x,x,y) * ((y \ L(y,x,x)) * L((y \ L(y,x,x)) \ z,L(x,x,y),a(y,x,x))) = (y \ L(y,x,x)) * (R(x,x,y) * (x \ (R(x,x,y) * z))). L(x,((y * y) \ z) * u,w) = L(x,z * ((y * y) \ u),w). L(x,y * ((z * z) \ u),w) = L(x,u * ((z * z) \ y),w). L(x,(y * (K(z,u) * w)) * v5,v6) = L(x,v5 * (y * w),v6). L(x,y \ R(z,u,u),w) = L(x,y \ L(z,u,u),w). L(x,y \ ((z * T(u,w)) * L(v5,z,u)),v6) = L(x,y \ (u * (T(z,T(u,w)) * v5)),v6). L(x,y \ (z * (T(u,w) * v5)),v6) = L(x,y \ ((u * v5) * z),v6). L(x,(y * (z * u)) \ ((z * y) * u),w) = L(x,a(y,z,u),w). a(x \ (L(y,x \ ((z * u) * w),x) * (w * (z * u))),v5,v6) = a((x \ (w * (T(z,v7) * u))) * y,v5,v6). L(x,(y \ (z * z)) \ ((y \ 1) * (u * (z * z))),w) = L(x,L(u,y \ 1,z * z),w). L(x,L(L(y \ z,u,w),y,y),v5) = L(x,L(z * (y \ 1),u,w),v5). L(x,y \ (L(z,u,w) * (u * w)),v5) = L(x,y \ (w * (T(u,T(w,v6)) * z)),v5). (K(x,y) * a(z,z,a(u,w,v5))) * K(y,x) = a(z,z \ 1,a(u,w,v5)). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). R(x,a(y,z,z * y),a(y,z,z * y)) / (y * (z * ((y * z) \ 1))) = x * a(y,z,(z * y) \ 1). a((x \ 1) * (y * (x * x)),z,u) = a(y * x,z,u). a(x,(y * (z \ 1)) \ ((z * z) \ u),w) = a(x,(y * z) \ u,w). a(x,(y \ z) \ ((y * y) \ u),w) = a(x,((y \ 1) \ z) \ u,w). a(x,(y * (z * (u * u))) \ w,v5) = a(x,(y * z) \ ((u * u) \ w),v5). ((x * (y * z)) / L(z,z,y)) \ (x * R(y,z,z)) = a(x,L(y,z,z),L(z,z,y)). a(x,R(L(y,z,u),w,v5),v6) = a(x,L(L(y,w,v5),z,u),v6). a(x,L(y,z,u * u),w) = a(x,y,w). a(x,L(y,z,(u \ 1) \ w),v5) = a(x,R(y,z,u \ w),v5). a(x,(y * z) * (y \ 1),u) = a(x,L(z,y,y),u). a(x,y * ((z \ u) * (z \ 1)),w) = a(x,y * (u / (z * z)),w). a(x,y * ((z \ u) * (z \ 1)),w) = a(x,y * ((z * z) \ u),w). a(x,L(y \ z,y,y),u) = a(x,z * (y \ 1),u). a(x,y \ ((z \ (z \ 1)) * u),w) = a(x,y \ ((z * z) \ u),w). (L(x,y,z) \ 1) \ x = x * L(x,y,z). ((x * L(x,y,z)) * a(u,w,v5)) * ((x * L(x,y,z)) \ x) = (L(x,y,z) \ 1) * ((x * L(x,y,z)) * a(u,w,v5)). ((x * (y * z)) * (1 / (a(x,z,y) \ K(y,z)))) \ (x * (y * z)) = 1 / (1 / (((x * z) * y) \ (x * (y * z)))). L(a(x,y,z) \ K(z,y),a(x,y,z),x * (z * y)) = 1 / (1 / (((x * y) * z) \ (x * (z * y)))). L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). a(x,y,z * (u \ ((w \ T(v5,v6)) * v7))) = a(x,y,(u \ (v7 * (w \ v5))) * z). a(x,y,L(z * L(u,w,w \ 1),v5,v6)) = a(x,y,L(z * R(u,w,w),v5,v6)). (x * (L(x,y,z) \ (x * u))) * L(x \ K(u,x),y,z) = R(u,x,x). R(x / L(1 / y,z,u),y \ 1,y) = y * (L(y,z,u) \ (x * y)). R(x,y,((z \ 1) \ u) \ (z * u)) = R(x,y,(z \ u) * (z * u)). R(x,y,((z \ 1) \ u) * w) = R(x,y,(z \ u) * w). (x * ((L(y,z,u) \ y) * w)) / (x * (w * (K(v5,v6) * (v7 * (v7 * (v7 \ (v7 \ K(v6,v5)))))))) = L(L(y,z,u) \ y,w * (K(v5,v6) * (v7 * v7)),x). a(x,x \ K(y,z),u * L(u \ K(z,y),w,v5)) = L(u * L(u \ 1,w,v5),x \ 1,x) \ (u * L(u \ 1,w,v5)). (x * (y * (K(z,u) / w))) / (K(z,u) / w) = (x * (y * (w \ 1))) / (w \ 1). R(x,y / (y / z),y / (y / z)) \ (x * (y / (y / z))) = y / (y / L(z,y / (y / z),L(x,z,z))). L(x / (x / y),y,L(z,y,y)) = L(x / (x / y),y,z). (a(x,y,z) \ 1) * ((u * K(w,v5)) * (v6 * v6)) = (u * (a(x,y,z) \ K(w,v5))) * (v6 * v6). (a(x,y,z) \ 1) * (u * K(w,v5)) = u * (a(x,y,z) \ K(w,v5)). (x * (y * (z \ L(z,u,w)))) \ (((z \ L(z,u,w)) * x) * y) = 1 * a(x,z \ L(z,u,w),y). a(x,y,L(z,(u \ 1) \ w,v5)) = a(x,y,L(z,u \ w,v5)). L(x,L(y \ z,y,y),u) = L(x,(y \ 1) * z,u). L(x,y * (z * (y / T(y * y,u))),w) = L(x,L(z,y,y),w). L(x,L(R(y,z,u),w,v5),v6) = L(x,L(L(y,z,u),w,v5),v6). (x * (R(y,z,u) * x)) / x = L(x,y,x) * R(y,z,u). L(x,L(y,z,(u * u) \ w),v5) = L(x,L(y,z,w),v5). L(x,L(y,z,(u \ 1) \ w),v5) = L(x,L(y,z,u \ w),v5). L(x,y * ((z * z) \ (T(u,w) * v5)),v6) = L(x,(u * v5) * ((z * z) \ y),v6). L(x,y \ ((z \ 1) * (z * u)),w) = L(x,y \ L(u,z,z),w). L(x,y \ L(y,z,z),u) = L(x,a(y,z,z),u). L(x,L(T(y,z * z),z * z,u \ 1),w) = L(x,L(y,u \ 1,z * z),w). L(x,y \ (L(z,u,w) * (u * w)),v5) = L(x,y \ ((u * z) * w),v5). a(x,x \ 1,a(y,z,u)) = a(x,x,a(y,z,u)). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). x * T(y * L(L(x,z,u),w,v5),x) = (y * x) * L(L(x,w,v5),z,u). L(x,a(y,z,z * y),a(y,z,z * y)) / (y * (z * ((y * z) \ 1))) = x * a(y,z,(z * y) \ 1). a((x \ 1) \ y,x \ 1,x \ 1) = a(y * x,x \ 1,x). a(x,(y * z) \ ((u * u) \ (y * (w * (z * (u * u))))),v5) = a(x,L(T(w,z * (u * u)),z * (u * u),y),v5). a(x,(y * (z * (u \ L(u \ 1,u \ 1,u)))) \ w,v5) = a(x,(y * z) \ (((u \ 1) * (u \ 1)) \ w),v5). a(x,L(R(y,z,u),w,v5),v6) = a(x,L(L(y,z,u),w,v5),v6). a(x,L(y,z,(u \ 1) \ w),v5) = a(x,L(y,z,u \ w),v5). a(x,(y \ 1) * (z * y),u) = a(x,L(z,y,y),u). a(x,(y * (z \ 1)) \ ((z * z) \ y),u) = a(x,y \ (y / z),u). a(x,y \ (((z \ 1) \ T(z,z \ 1)) * u),w) = a(x,y \ (((z \ 1) * (z \ 1)) \ u),w). (x \ (y \ z)) * L(x \ (y \ z),x,y) = (((y * x) \ z) \ 1) \ (x \ (y \ z)). L(a(x,y,z),u * L(u,w,v5),L(u,w,v5) \ 1) * u = (L(u,w,v5) \ 1) * (((L(u,w,v5) \ 1) \ u) * a(x,y,z)). a(x,y,z * (u \ (L(w,v5,v6) \ w))) = a(x,y,z * (u \ (w * L(w,v5,v6)))). ((x * (y * z)) * (K(z,y) * a(x,z,y))) \ (x * (y * z)) = 1 / (1 / (((x * z) * y) \ (x * (y * z)))). (x / y) \ ((x / ((y \ 1) \ 1)) / (y \ 1)) = L(1 / (1 / y),y,y \ x). a(x,y,L(a(z \ 1,z,u),w,v5)) = a(x,y,L(u * R(u,z,z),w,v5)). (x * (x * (L(x,y,z) \ u))) * L(x \ K(u,x),y,z) = R(u,x,x). (x * (L(x,y,z) \ x)) \ ((x * (L(x,y,z) \ x)) \ 1) = L(x \ 1,y,z) * L(1 / x,y,z). L(1 / x,y,L(x,z,u)) = L(1 / x,y,x). x * L(L(y \ z,u,w) \ (y \ z),y \ z,x) = (x / (y \ z)) * (L(1 / (y \ z),u,w) \ 1). a(x,y,z \ (((L(u,w,v5) \ 1) * u) * v6)) = a(x,y,z \ (v6 * (u \ L(u \ 1,w,v5)))). (L(1 / x,y,z) \ 1) * L(u,x,L(x,y,z) \ x) = x * ((L(x,y,z) \ x) * u). L(L(x,y,z) \ x,u,w) \ (L(1 / x,y,z) \ 1) = (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ x). (x * (L(1 / y,z,u) \ 1)) / y = (x * (L(y,z,u) \ 1)) / (y \ 1). R(L(x,y,z) \ x,x,L(x,y,z) \ u) \ u = x * ((L(1 / x,y,z) \ 1) \ u). ((L(x,y,z) \ x) * (u * x)) / (L(1 / x,y,z) \ 1) = L(u,x,x \ L(x,y,z)). (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). a(x,L(1 / y,z,u) \ 1,L(1 / y,z,u)) = x \ R(x,y * (L(y,z,u) \ y),L(y,z,u)). R(x,y * (L(y,z,u) \ y),y * (L(y,z,u) \ y)) = ((y * (L(y,z,u) \ y)) * x) * L(y \ K(x,y),z,u). (x * a(y,x,x)) \ K(z,u) = L(x \ K(z,u),x,y). a(x,y,(z * ((u * (L(u,w,v5) \ u)) * K(v6,v7))) \ v8) = a(x,y,(z * (L(u \ K(v7,v6),w,v5) \ 1)) \ v8). R(x,y,(z \ L(z,u,w)) * v5) = R(x,y,(z * L(z,u,w)) * v5). L(L(x,y,z) \ x,u * (K(w,v5) * (v6 * v6)),v7) = (v7 * ((L(x,y,z) \ x) * u)) / (v7 * (u * (K(w,v5) * K(v5,w)))). a(x,x \ K(y,z),u * L(u \ K(z,y),w,v5)) = L(u * L(u \ 1,w,v5),x,x) \ (u * L(u \ 1,w,v5)). (x * (y * (z \ K(u,w)))) / (z \ K(u,w)) = (x * (y * (z \ 1))) / (z \ 1). L(x,y * (z * (y \ K(u,y * y))),w) = L(x,L(z,y,y),w). L(x,L(y,z,u \ 1),w) = L(x,L(y,z,u),w). L(x,y * (T(z,u) * ((w * w) \ v5)),v6) = L(x,(z * v5) * ((w * w) \ y),v6). L(x,R(y,y,z) \ y,u) = L(x,a(z,y,y),u). (a(x,y,z) \ 1) * ((u * K(w,v5)) * (v6 * v6)) = u * ((a(x,y,z) \ K(w,v5)) * (v6 * v6)). R(T(a(x,y,z) \ 1,u),w * K(v5,v6),(w * K(v5,v6)) \ u) = u \ ((w * (a(x,y,z) \ K(v5,v6))) * ((w * K(v5,v6)) \ u)). (x * K(y,z)) * ((a(u,w,v5) \ 1) * L((a(u,w,v5) \ 1) \ ((x * K(y,z)) \ v6),x * K(y,z),a(u,w,v5) \ 1)) = (a(u,w,v5) \ 1) * ((x * K(y,z)) * ((x * (a(u,w,v5) \ K(y,z))) \ v6)). R(x \ L(x,y,z),K(u \ x,u),w) = ((u * (x / u)) \ L(x,y,z)) * K(u,u \ x). (x * (y * (z \ L(z,u,w)))) \ (((z \ L(z,u,w)) * x) * y) = a(x,z \ L(z,u,w),y). L(x,L(y,z \ 1,u * u),w) = L(x,L(y,u * u,z \ 1),w). L(x,(y * (z * u)) \ (L(y,z,u) * (z * u)),w) = L(x,a(y,z,u),w). K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). a(x,(y * z) \ ((u * u) \ (y * (w * (z * (u * u))))),v5) = a(x,L(w,z * (u * u),y),v5). a(x,(y * (z * (u \ T(u \ 1,u)))) \ w,v5) = a(x,(y * z) \ (((u \ 1) * (u \ 1)) \ w),v5). a(x,(y * z) \ y,u) = a(x,y \ (y / z),u). a(x,y \ (((z \ 1) * (z \ 1)) \ u),w) = a(x,y \ ((T(z \ 1,z) \ z) * u),w). (((x * y) \ z) \ 1) \ (y \ (x \ z)) = (y \ (x \ z)) * ((x * y) \ z). (x * L(L(y,z,u),w,v5)) * y = (x * y) * L(L(y,w,v5),z,u). a((x * y) \ x,y,y \ 1) = K(y \ 1,y). T((x * (L(x,y,y) \ z)) \ (a(y,y,x) * z),K(u,w)) = a(z / (L(x,y,y) * K(u,w)),L(x,y,y),a(y,y,x)). ((x * (y * T(z,y))) * a(x,z,y)) \ (x * (y * z)) = 1 / (1 / (((x * z) * y) \ (x * (y * z)))). (x / y) \ ((x / ((y \ 1) \ 1)) / (y \ 1)) = L(y,y \ 1,x). (x * (L(x,y,z) \ x)) \ L(x \ 1,y,z) = L(x \ 1,y,z) * L(1 / x,y,z). L(1 / (x \ 1),y,L(x \ 1,z,u)) = L(1 / (x \ 1),y,x \ a(w,v5,w)). L(x \ 1,y,L(T(x,x \ 1),z,u)) = L(1 / T(x,x \ 1),y,T(x,x \ 1)). x \ R(x,y * (L(y,z,u) \ y),L(y,z,u)) = a(x,L(1 / y,z,u) \ 1,L(y,z,u)). a(x,y,(z * ((u * (L(u,w,v5) \ u)) * K(v6,v7))) \ v8) = a(x,y,(z * L(u \ K(v7,v6),w,v5)) \ v8). L(L(x,y,z) \ x,u * (K(w,v5) * (v6 * v6)),v7) = (v7 * ((L(x,y,z) \ x) * u)) / (v7 * u). (x \ K(y,z)) \ (K(z,y) * ((x * L(x \ K(y,z),u,w)) * v5)) = ((x \ K(y,z)) \ v5) * ((x \ K(y,z)) \ L(x \ K(y,z),u,w)). (x * (y * (z \ K(u,w)))) / (z \ K(u,w)) = (x * (y * z)) / z. R(x,y / (y / z),y / (y / z)) \ (x * (y / (y / z))) = y / (y / L(z,z,L(x,z,z))). L(x,y * (z * (y \ 1)),u) = L(x,L(z,y,y),u). L(x,(y * ((z * z) \ u)) * w,v5) = L(x,(y * u) * ((z * z) \ w),v5). L(x,L(y,z \ 1,u * u),w) = L(x,L(y,u * u,z),w). L(x,(y * z) \ (((y * z) / u) * L(u,y,z)),w) = L(x,a(u,y,z),w). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). a(x,(y * z) \ T(y * (u * z),w * w),v5) = a(x,L(u,z * (w * w),y),v5). a(x,(y * z) \ y,u) = a(x,y \ (z \ y),u). L(L(L((x \ 1) \ L(x \ 1,y,z),x,x \ u),u \ (x \ u),u),w,L(x \ 1,x,x \ u)) = (u / x) \ (u * L(L(x \ 1,x,x \ u),y,z)). a(x,y,(((z * (u \ 1)) \ w) \ 1) \ (u \ (z \ w))) = a(x,y,((u \ 1) \ (z \ w)) * ((z * (u \ 1)) \ w)). (L(x,y,z) \ x) * (1 / x) = 1 / L(x,y,z). ((x * (L(y,z,u) \ y)) / (1 / L(y,z,u))) * (1 / y) = (1 / y) * R((1 / y) \ x,1 / y,L(y,z,u) \ y). a((x * y) \ x,y,y) = K(y \ 1,y). ((x * (y * z)) * a(x,y,z)) \ (x * (z * y)) = 1 / (1 / (((x * y) * z) \ (x * (z * y)))). (L(1 / x,y,z) \ 1) \ L(x \ 1,y,z) = L(x \ 1,y,z) * L(1 / x,y,z). L(1 / (x \ 1),y,x \ a(z,u,z)) = L(x,y,L(x \ 1,w,v5)). L(x \ 1,y,L(x,z,u)) = L(1 / T(x,x \ 1),y,T(x,x \ 1)). x \ R(x,y * (L(y,z,u) \ y),L(y,z,u)) = a(x,L(y \ 1,z,u) \ 1,L(y,z,u)). L(L(x,y,z) \ x,u * (K(w,v5) * (v6 * v6)),v7) = L(L(x,y,z) \ x,u,v7). L(x,y,z) * (x \ T(u,w)) = T(L(x,y,z) * (x \ u),w). R(x \ L(x,y,z),K(u \ x,u),w) = (u * (x / u)) \ L(u * (x / u),y,z). (x \ K(y,z)) \ (K(z,y) * (K(y,z) * (u * (x \ L(x,w,v5))))) = ((x \ K(y,z)) \ u) * ((x \ K(y,z)) \ L(x \ K(y,z),w,v5)). (((x * (L(y,z,u) * y)) / y) \ (x * L(y,z,u))) \ (x * L(y,z,u)) = (x * (K(w,v5) * (y \ L(y,z,u)))) / (y \ K(w,v5)). L(x,L(y,z * z,u),w) = L(x,y,w). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). a(x,L(y,z * (u * u),w),v5) = a(x,(w * z) \ (w * (y * z)),v5). (a(x,y,z) \ 1) * (u * (K(w,v5) * (v6 * v6))) = u * ((a(x,y,z) \ K(w,v5)) * (v6 * v6)). R(T(a(x,y,z) \ 1,u),w * K(v5,v6),(w * K(v5,v6)) \ u) = u \ ((w * (a(x,y,z) \ K(v5,v6))) * (K(v6,v5) * (w \ u))). (x * K(y,z)) * ((a(u,w,v5) \ 1) * L((a(u,w,v5) \ 1) \ (K(z,y) * (x \ v6)),x * K(y,z),a(u,w,v5) \ 1)) = (a(u,w,v5) \ 1) * ((x * K(y,z)) * ((x * (a(u,w,v5) \ K(y,z))) \ v6)). a(x,(y * z) \ z,u) = a(x,z \ (y \ z),u). a(x,L(y \ 1,y,z),u) = a(x,z \ (y \ z),u). L((L(x,y,z) \ x) \ u,x,L(x,y,z) \ x) = (L(1 / x,y,z) \ 1) \ (x * u). K(x,T(y,z)) * (z \ 1) = z \ K(x,y). K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). (x * y) \ L(x * y,(x * y) \ y,x) = (x * (y / (x * y))) \ 1. L(L(L(x \ L(x,y,z),x,x \ u),u \ (x \ u),u),w,L(x \ 1,x,x \ u)) = (u / x) \ (u * L(L(x \ 1,x,x \ u),y,z)). L((1 / x) \ y,1 / x,L(x,z,u) \ x) = (1 / L(x,z,u)) \ ((L(x,z,u) \ x) * y). a((x * y) \ y,x,x) = K(x \ 1,x). 1 / (1 / (((x * y) * z) \ (x * (z * y)))) = ((x * y) * z) \ (x * (z * y)). x * (L(y \ 1,z,u) \ (1 / L(y \ 1,z,u))) = x / (L(y \ 1,z,u) * L(1 / y,z,u)). L(x,y,L(x \ 1,z,u)) = L(x,y,x \ a(w,v5,w)). L(x \ 1,y,T(x,x \ 1)) = L(x \ 1,y,L(x,z,u)). R(x,y,((z \ 1) \ u) \ (z * u)) = L(x,y,a(z \ u,z,u)). L(L(x,y,z) \ x,u * (w * w),v5) = L(L(x,y,z) \ x,u,v5). x * (L(x,y,z) \ T(L(x,y,z) * (x \ u),w)) = T(u,w). L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)) = T(u,w). (x * (y / x)) \ L(x * (y / x),z,u) = y \ L(y,z,u). ((x \ K(y,z)) \ u) * ((x \ K(y,z)) \ L(x \ K(y,z),w,v5)) = (x \ K(y,z)) \ (u * (x \ L(x,w,v5))). (((x * (y * L(y,z,u))) / y) \ (x * L(y,z,u))) \ (x * L(y,z,u)) = (x * (K(w,v5) * (y \ L(y,z,u)))) / (y \ K(w,v5)). L(x / (x / y),y,L(z,y,y)) = R(z,x / (x / y),x / (x / y)) \ (z * (x / (x / y))). L(x,y \ ((y \ 1) * z),u) = L(x,(y * y) \ z,u). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). a(x,L(T(y,z),z,u),w) = a(x,L(y,z * (v5 * v5),u),w). L(x,y \ (z \ y),y \ (z \ y)) = a(y \ (z \ y),L(z \ 1,z,y),x) \ x. L(L(x,y,z) \ x,u,w) \ (L(1 / x,y,z) \ 1) = L(L(x,y,z) / x,u,w) \ L(x,y,z). L(L(L(x \ L(x,y,z),x,u),u \ (x \ u),u),w,L(x \ 1,x,x \ u)) = (u / x) \ (u * L(L(x \ 1,x,x \ u),y,z)). L(x,(y * z) \ z,u) = L(x,z \ (y \ z),u). ((x / (y \ 1)) / x) * K(y \ 1,y) = (((y * x) \ x) * y) * y. ((x / ((y \ 1) \ 1)) / x) / (y \ 1) = ((x / y) / x) / (1 / y). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = (L((x \ 1) \ L(x \ 1,z,u),x,x \ y) \ 1) * ((y / x) \ (y * L(L(x \ 1,x,x \ y),z,u))). (x \ (x \ 1)) / (L(x \ 1,y,z) * L(1 / x,y,z)) = L(x,y,z) \ (L(1 / x,y,z) \ 1). L(L(x,y,z) \ x,u \ 1,w) = L(L(x,y,z) \ x,u,w). x * K(x,y) = z * (L(z,u,w) \ T(L(z,u,w) * (z \ x),y)). (x \ L(x,y,z)) * T(u,w) = T((x \ L(x,y,z)) * u,w). (L(x,y,z) \ x) \ T(u,w) = T((L(x,y,z) \ x) \ u,w). x * (L(x,y,z) \ T(u,w)) = T(x * (L(x,y,z) \ u),w). T(x,y) * (z \ L(z,u,w)) = T((z \ L(z,u,w)) * x,y). x * K(y * (L(y,z,u) \ x),w) = T(x,w). (x \ L(x,y,z)) \ T(u,w) = T((x \ L(x,y,z)) \ u,w). (L(x,y,z) \ x) * T(u,w) = T(u * (L(x,y,z) \ x),w). ((x * x) * y) \ L((x * x) * y,z,u) = y \ L(y,z,u). (x * (K(y,z) * (u \ L(u,w,v5)))) / (u \ K(y,z)) = (x * (u * L(u,w,v5))) / u. L(x / (x / y),y,L(z,y,y)) = R(z,x / (x / y),y) \ (z * (x / (x / y))). L(x,(y * y) \ L((y \ 1) \ z,u,w),v5) = L(x,y \ (y * L(y \ z,u,w)),v5). a(x,L(y,z * (u * u),w),v5) = a(x,L(y,z,w),v5). L(x,y,L(x \ 1,z,u)) = L(x,y,x \ 1). L(x \ 1,y,L(x,z,u)) = L(x \ 1,y,x). (((x * y) \ z) \ (y \ (x \ z))) \ 1 = (y \ (x \ z)) \ ((x * y) \ z). L(L(x,y,z) \ x,u,w) \ (L(1 / x,y,z) \ 1) = L(x \ L(x,y,z),u,w) \ L(x,y,z). L(x,(y * z) \ y,u) = L(x,y \ (z \ y),u). L(x,L(y * (z * z),u,w) \ (z * z),v5) = L(x,(z * z) \ (L(y,u,w) \ (z * z)),v5). L(x * y,y \ (x \ y),x) \ 1 = (x * y) \ (x * (y / (x * y))). (x * y) \ L(x * y,y \ (x \ y),x) = (x * (y / (x * y))) \ 1. L(L(x \ L(x,y,z),x,u),u \ (x \ u),u) = (u / x) \ (u * L(L(x \ 1,x,x \ u),y,z)). L(x,(y * z) \ ((z * (T(y,z) * u)) / u),w) = L(x,a(u,y,z),w). R(x,y * (L(y,z,u) \ y),y * (y * L(y,z,u))) = ((y * (L(y,z,u) \ y)) * x) * L(y \ K(x,y),z,u). R(x,y * (L(y,z,u) \ y),L(y * (y * y),z,u)) = ((y * (L(y,z,u) \ y)) * x) * L(y \ K(x,y),z,u). (((x * y) \ y) * x) * T(x,x \ 1) = (y / (x \ 1)) / y. a(x,y,((z * (L(z,u,w) \ z)) * v5) * v6) = a(x,y,v6 * (v5 * L(z \ 1,u,w))). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = (L(x \ L(x,z,u),x,x \ y) \ 1) * ((y / x) \ (y * L(L(x \ 1,x,x \ y),z,u))). 1 / ((L(x \ 1,y,z) * L(1 / x,y,z)) * (x * x)) = L(x,y,z) \ (L(1 / x,y,z) \ 1). a(x,y,((z * (u \ (z \ u))) \ w) * v5) = a(x,y,(a(u,z,z) \ w) * v5). K(L(x,y,z) * (x \ u),w) = K(u,w). K(x * (y \ L(y,z,u)),w) = K(x,w). (x \ L(x,y,z)) * T(u,w) = T(u * (x \ L(x,y,z)),w). T(x \ (L(y,z,u) \ y),x) = ((x \ 1) \ 1) \ (L(y,z,u) \ y). T((L(x,y,z) \ x) \ (u / w),w) = (L(x,y,z) \ x) \ (w \ u). T((x \ y) * (L(x \ y,z,u) \ x),w) = L(y / T(x,w),z,u) \ y. L(x \ L(x,y,z),u,w) \ T(v5,v6) = T(L(x \ L(x,y,z),u,w) \ v5,v6). T(x * (L(x,y,z) \ a(u,w,v5)),v6) = x * (L(x,y,z) \ a(u,w,v5)). T(x,y) \ T((x \ z) * (L(x \ z,u,w) \ x),y) = x \ (L(z / x,u,w) \ z). L(L(x,y,z) \ x,u,w) \ (((L(x,y,z) \ x) * u) * w) = w * T(u,w). T((x \ L(x,y,z)) \ (u / w),w) = (x \ L(x,y,z)) \ (w \ u). (a(x,y,z) \ 1) * (u * (K(w,v5) * (v6 * v6))) = u * (K(w,v5) * (a(x,y,z) \ (v6 * v6))). R(T(a(x,y,z) \ 1,u),w * K(v5,v6),(w * K(v5,v6)) \ u) = u \ ((w * (a(x,y,z) \ 1)) * (w \ u)). (x * K(y,z)) * ((a(u,w,v5) \ 1) * L((a(u,w,v5) \ K(y,z)) \ (x \ v6),x * K(y,z),a(u,w,v5) \ 1)) = (a(u,w,v5) \ 1) * ((x * K(y,z)) * ((x * (a(u,w,v5) \ K(y,z))) \ v6)). T(x,y) * (z \ L(z,u,w)) = T(x * (z \ L(z,u,w)),y). (x \ 1) * T((x \ L(x,y,z)) * u,x \ 1) = (x \ L(x,y,z)) * (u * (x \ 1)). (x * (x * y)) \ L(x * (x * y),z,u) = L(y \ L(y,z,u),x,x). a(x,(y * y) * z,((y * y) * z) * L((y * y) * z,u,w)) = a(x,z \ L(z,u,w),z). ((x \ K(y,z)) \ u) * (x \ (K(y,z) * L(K(y,z) \ x,w,v5))) = (x \ K(y,z)) \ (u * (x \ L(x,w,v5))). (x * (y \ L(y,z,u))) / ((y \ K(w,v5)) * K(v5,w)) = (x * (y * L(y,z,u))) / y. L(x / (x / y),y,L(z,y,y)) = R(z,(x / y) \ x,y) \ (z * (x / (x / y))). L(x,(y * y) \ L((y \ 1) \ z,u,w),v5) = L(x,L(y \ z,u,w),v5). a(x,L(y,z \ 1,u),w) = a(x,L(y,z,u),w). a(x,L(y,(z \ 1) \ u,w),v5) = a(x,L(y,z \ u,w),v5). L(x \ y,z,(x \ y) \ 1) = L(x \ y,z,y \ x). (L(x,y,z) \ x) * T(u,w) = T((L(x,y,z) \ x) * u,w). (x * y) \ (y * T(x * (L(z,u,w) \ z),y)) = L(T(L(z,u,w) \ z,T(x,y)),x,y). ((L(x,y,z) \ x) * (u * (w \ L(w,v5,v6)))) / ((L(x,y,z) \ x) * T(w \ L(w,v5,v6),u)) = L(u,w \ L(w,v5,v6),L(x,y,z) \ x). (L(x \ L(x,y,z),u,w) \ L(x,y,z)) / (L(x,y,z) \ x) = x / L(L(x,y,z) \ x,u,w). (x * ((x \ y) / y)) \ y = L(y,(y * x) \ y,x). L(x,L(y * (z * z),u,w) \ (z * z),v5) = L(x,T(L(y,u,w) \ 1,z * z),v5). L(L(x \ L(x,y,z),x,u),u \ (x \ u),u) = (u / x) \ ((u / x) * (x * L(x \ 1,y,z))). L(x,(y * z) \ ((y * (z * u)) / u),w) = L(x,a(u,z,y),w). ((x * (L(x,y,z) \ x)) * u) * L(x \ K(u,x),y,z) = R(u,x * (L(x,y,z) \ x),L(x,y,z)). ((x / (y \ 1)) / x) / y = y * ((y * x) \ x). a(x,y,z * ((u * (L(u,w,v5) \ u)) * v6)) = a(x,y,z * (v6 * L(u \ 1,w,v5))). a(x,y,((z * (L(z,u,w) \ z)) * v5) * v6) = a(x,y,v6 * (v5 * L(z,u,w))). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = (L(x \ L(x,z,u),x,y) \ 1) * ((y / x) \ (y * L(L(x \ 1,x,x \ y),z,u))). (x / y) \ ((x / y) / (1 / y)) = L(y,y \ 1,x). 1 / (L(x \ 1,y,z) * (L(1 / x,y,z) * (x * x))) = L(x,y,z) \ (L(1 / x,y,z) \ 1). a(x,y,(L(z,u,w) * v5) * L(v6,L(z,u,w),v5 \ 1)) = a(x,y,v5 * (R(z,u,w) * v6)). a(x,y,z * ((u \ L((w \ 1) \ 1,v5,v6)) * v7)) = a(x,y,((u \ L(w,v5,v6)) * v7) * z). a(x,y,L(a(z \ 1,z,u),w,v5)) = a(x,y,L(a(u,z,z),w,v5)). a(x,y,z \ (u \ ((w * (L(w,v5,v6) \ w)) * v7))) = a(x,y,z \ (u \ (v7 * L(w \ 1,v5,v6)))). K(x * L(y,z,u),w) = K(x * y,w). K(x \ (y \ L(y,z,u)),w) = K(x \ 1,w). K(L(x,y,z) * u,w) = K(x * u,w). K(L(x,y,z) \ u,w) = K(x \ u,w). (((L(x,y,z) \ x) / u) \ 1) \ 1 = u \ (L(x,y,z) \ x). (L(x,y,z) \ x) / (u \ 1) = (1 / u) \ (L(x,y,z) \ x). L(x / T(y,z),u,w) \ x = T(L(x / y,u,w) \ x,z). 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(x,y) \ T(L(z / x,u,w) \ z,y) = x \ (L(z / x,u,w) \ z). L(L(x,y,z) \ x,u,w) \ (((L(x,y,z) \ x) * u) * w) = u * w. L(L(x,y,z) \ x,u,w) * (u * w) = ((L(x,y,z) \ x) * u) * w. (x \ L(x,y,z)) / (u \ 1) = (1 / u) \ (x \ L(x,y,z)). ((a(x,y,z) \ 1) * (u * (w * (K(v5,v6) * (v7 * v7))))) / (w * (K(v5,v6) * (a(x,y,z) \ (v7 * v7)))) = R(u,w * (K(v5,v6) * (v7 * v7)),a(x,y,z)). R(a(x,y,z) \ 1,u * K(w,v5),(u * K(w,v5)) \ v6) = v6 \ ((u * (a(x,y,z) \ 1)) * (u \ v6)). (x * K(y,z)) * ((a(u,w,v5) \ 1) * L((a(u,w,v5) \ K(y,z)) \ (x \ v6),x * K(y,z),a(u,w,v5))) = (a(u,w,v5) \ 1) * ((x * K(y,z)) * ((x * (a(u,w,v5) \ K(y,z))) \ v6)). L(L(x,y \ (z \ y),z),z * (y \ (z \ y)),z) = z * (z * (L(z,z,z \ y) \ ((y \ (y / z)) * x))). T(x,y) \ (x * (y * (z \ L(z,u,w)))) = T(y * (z \ L(z,u,w)),T(x,y)). L(x,y,z) * T(u * (x \ L(x,w,v5)),x) = (x \ L(x,w,v5)) * (u * L(x,y,z)). (x \ L(x,y,z)) * ((u * x) * (x \ 1)) = R(u * (x \ L(x,y,z)),x,x). ((x * y) * x) \ L((x * y) * x,z,u) = L(y \ L(y,z,u),x,x). (1 / (x * y)) * (x * L(y,z,u)) = L(y \ L(y,z,u),x,x). (x \ K(y,z)) \ (u * (x \ L(x,w,v5))) = ((x \ K(y,z)) \ u) * (x \ L(x,w,v5)). (x * (y \ L(y,z,u))) / (y \ 1) = (x * (y * L(y,z,u))) / y. L(x / (x / y),y,L(z,y,y)) = R(z,y,y) \ (z * (x / (x / y))). (x * y) \ ((x * (L(z,u,w) \ z)) * y) = L(T(L(z,u,w) \ z,T(x,y)),x,y). ((L(x,y,z) \ x) * (u * (w \ L(w,v5,v6)))) / ((L(x,y,z) \ x) * (w \ L(w,v5,v6))) = L(u,w \ L(w,v5,v6),L(x,y,z) \ x). (L(x,y,z) \ x) \ (L(x \ L(x,y,z),u,w) \ L(x,y,z)) = x / L(L(x,y,z) \ x,u,w). (x \ 1) \ (L(y / (x \ 1),x \ 1,x) \ y) = ((x \ 1) * (x * y)) \ y. (x * y) \ (L((z * y) / (x * y),u,w) \ (z * y)) = ((x * L(x \ z,u,w)) * y) \ (z * y). x \ (L((x \ y) / x,z,u) \ (x \ y)) = (x \ L(y,z,u)) \ (x \ y). x \ (L((y / x) / x,z,u) \ (y / x)) = (L(y,z,u) / x) \ (y / x). (x \ (L(y / x,z,u) \ y)) \ y = x * L(x \ y,z,u). ((x / T(y,z)) * L((x / T(y,z)) \ T(z,y),u,w)) \ T(z,y) = (x / T(y,z)) \ (L(z / (x / y),u,w) \ T(z,y)). (x * y) \ (L((z * x) / (x * y),u,w) \ (z * x)) = ((y * L(y \ z,u,w)) * x) \ (z * x). T(x,y) \ (L(T(z,u) / T(x,y),w,v5) \ T(z,u)) = T(x * L(x \ z,w,v5),u) \ T(z,u). (x * ((x \ (x \ y)) / (x \ y))) \ (x \ y) = L(x \ y,y \ (x \ y),x). L(x,L(y * (z * z),u,w) \ (z * z),v5) = L(x,L(y,u,w) \ 1,v5). (x \ 1) * (((x \ 1) * y) \ y) = ((y / x) / y) / (1 / x). a(x,y,z * ((u * (L(u,w,v5) \ u)) * v6)) = a(x,y,z * (v6 * L(u,w,v5))). (x \ y) \ ((x \ y) / (1 / x)) = L(x,x \ 1,y). 1 / (L(x \ 1,y,z) * L((1 / x) * (x * x),y,z)) = L(x,y,z) \ (L(1 / x,y,z) \ 1). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v5 \ 1)) = a(x,y,L(a(z,v5,v5),u,w)). x * ((L(1 / y,y,z) \ 1) \ u) = x * ((y * a(z,y,y)) \ u). a(x,a(y,z,z),z) * ((L(1 / z,z,y) \ 1) * x) = (a(y,z,z) * z) * R(x,a(y,z,z),z). ((x * (L(1 / y,y,z) \ 1)) / y) \ (x * a(z,y,y)) = a(x,a(z,y,y),y). (x * a(y,x,x)) \ K(z,u * a(w,v5,v5)) = L(x \ K(z,u),x,y). a(x,(y * y) * z,((y * y) * z) * L((y * y) * z,u,w)) = a(x,z,z * L(z,u,w)). a(x,y,L(L(z,u,(z * u) \ w),L(z,u,(z * u) \ w),w)) = a(x,y,w \ (u * ((z * u) \ w))). K(x * L(y,z,u),w) = T(w,x * y) \ w. K((x * y) * R(z,u,w),v5) = K(x * (y * L(z,v6,v7)),v5). K(x * ((y * z) \ u),w) = K(x * (z \ (y \ u)),w). K(x * ((y * a(z,u,w)) \ (v5 * a(z,u,w))),v6) = K(x * (y \ v5),v6). K(L(x,y,z) * (x \ 1),u * w) * ((u * (w * (L(x,y,z) * L(x \ 1,y,z)))) / v5) = ((L(x,y,z) * L(x \ 1,y,z)) * (u * w)) / v5. ((x \ (y \ L(y,z,u))) * x) * y = L(y * K(x \ 1,x),z,u). K(L(x \ 1,y,z) * u,w) = K(x \ u,w). (x \ K(x * y,x \ 1)) \ (y * (x \ L(x,z,u))) = (y * (x \ L(x,z,u))) / (x \ 1). K(a(x,y,z) \ (u * w),v5) = K(u * (a(x,y,z) \ w),v5). L(K(x,y \ z),u,w) = K(L(y,v5,v6) \ z,x) \ 1. ((L(x,y,z) \ x) * ((1 / u) \ 1)) * ((1 / u) * ((L(x,y,z) \ x) \ ((1 / u) \ (L(x,y,z) \ x)))) = (L(x,y,z) \ x) / (u \ 1). T(L(x \ L(x,y,z),u,w) \ v5,T(v6,v5)) = T(L(x \ L(x,y,z),u,w) \ v5,v6). R(L(x,y,z) \ x,u,w) = L(L(x,y,z) \ x,u,w). ((L(x,y,z) \ x) * u) * x = (L(x,y,z) \ x) * (u * x). (x \ L(x,y,z)) / (u \ 1) = (x / u) \ L(x,y,z). ((x / y) \ L(x,z,u)) * (y \ 1) = x \ L(x,z,u). L(x,x,y \ L(y,z,u)) * (y \ L(y,z,u)) = (1 / x) \ (y \ L(y,z,u)). ((a(x,y,z) \ 1) * (u * w)) / ((w * (K(v5,v6) * (a(x,y,z) \ (v7 * v7)))) * (v7 \ (v7 \ K(v6,v5)))) = R(u,w * (K(v5,v6) * (v7 * v7)),a(x,y,z)). R(a(x,y,z) \ 1,u * K(w,v5),u \ v6) = v6 \ ((u * (a(x,y,z) \ 1)) * (u \ v6)). (x * (y \ L(y,z,u))) * T(w,x) = w * (x * (y \ L(y,z,u))). (x * (y \ L(y,z,u))) * L(y,w,v5) = (y \ L(y,z,u)) * (x * L(y,w,v5)). (x \ L(x,y,z)) * R(u,x,x) = R(u * (x \ L(x,y,z)),x,x). (R(x,y,y) * a(x,y,y)) \ L((a(x,y,y) * x) * a(x,y,y),z,u) = L(x \ L(x,z,u),a(x,y,y),a(x,y,y)). R(x,y,y) \ (x * (z / (z / y))) = L(z / (z / y),y,x). (x * y) \ ((x * (L(z,u,w) \ z)) * y) = L(L(z,u,w) \ z,x,y). R(x,y \ L(y,z,u),w * L(w,v5,v6)) = L(x,y \ L(y,z,u),L(w,v5,v6) \ w). x * (L(L(x,y,z) \ x,u,w) \ 1) = x / L(L(x,y,z) \ x,u,w). (x \ 1) \ (y / (1 \ (x * y))) = ((x \ 1) * (x * y)) \ y. x \ (L((x \ y) / x,z,u) \ (x \ y)) = (L(y,z,u) / x) \ (y / x). T(x * y,z) \ (L(T(u,w) / T(x * y,z),v5,v6) \ T(u,w)) = T(x * (y * L(y \ (x \ u),v5,v6)),w) \ T(u,w). L(L(x \ L(x,y,z),x,u),u \ (x \ u),u) = (u / x) \ ((u / x) * (x \ L(x,y,z))). L(x,L(y \ L(y,z,u),y,u * z),w) = L(x,a(y,z,u),w). (x \ 1) * (((x \ 1) * y) \ y) = ((y / x) / y) * x. L((x \ 1) \ (y / x),z,u) \ (((x \ 1) \ (L(y,z,u) / x)) / (1 / (x \ 1))) = L(x \ 1,(x \ 1) \ 1,L(y,z,u) / x). a(x,y,(z * u) * (z * L(u,w,v5))) = a(x,y,L(u \ L(u,w,v5),z,z)). 1 / (L(x \ 1,y,z) * L(T(x,x \ 1),y,z)) = L(x,y,z) \ (L(1 / x,y,z) \ 1). a(x,y \ z,a(u,w,w \ u)) = a(x,z / y,a(w,w,u / w)). a(x,y,L(1 / (z * u),w,v5) * v6) = a(x,y,L((u \ 1) * z,w,v5) * v6). a(x,y,z * (u \ (w * L(w,v5,v5)))) = a(x,y,z * (u \ a(v5,v5,w))). a(x,y,a(z,y,y)) * ((L(1 / y,y,z) \ 1) * x) = (a(z,y,y) * y) * R(x,a(z,y,y),y). (x * a(y,x,x)) \ K(x * y,x * a(z,u,u)) = y \ (x \ y). T(x,y * L(z,u,w)) = T(x,y * z). K(x * (y * L(z,u,w)),v5) = K(x * (y * z),v5). K(x * (a(y,z,u) \ (w \ (v5 * a(y,z,u)))),v6) = K(x * (w \ v5),v6). K(x \ L(x,y,z),u * w) * ((u * (w * (L(x,y,z) * L(x \ 1,y,z)))) / v5) = ((L(x,y,z) * L(x \ 1,y,z)) * (u * w)) / v5. T(x * L(y \ 1,z,u),T(w,L(y \ 1,z,u))) = x * (L(y \ 1,z,u) * K(y \ x,w)). (x \ K(x * y,x \ 1)) \ (y * (x \ L(x,z,u))) = (y * (x * L(x,z,u))) / x. K(x,L(y,z,u) \ w) = K(x,y \ w). K(x * (a(y,z,u) \ w),v5) = K(x * w,v5). (1 / x) \ R(L(y,z,u) \ y,x,x \ 1) = x * (L(y,z,u) \ y). L(L(x,y,z) \ x,u,(w \ 1) \ v5) = R(L(x,y,z) \ x,u,w \ v5). L(L(L(x,y,z) \ x,u,w),L(x,y,z),z * y) = R(a(z,y,x),u,w). L(L(x \ (y \ x),z,u) \ (x \ (y \ x)),w,v5) = R((x \ (L(y,z,u) * (y \ x))) \ 1,w,v5). x * (L(L(y,z,u) \ y,w,v5) * v6) = x * (v6 * R(L(y,z,u) \ y,w,v5)). L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,u,w),L(x,y,z) \ x,u * w) = a(L(x,y,z) \ x,u,w). (x * y) * L(L(z,u,w) \ z,y,x) = ((L(z,u,w) \ z) * y) * T(x,y). (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,u) \ u) = L(u,u,L(x,y,z) \ x). L(L(x,y,z) \ x,x \ 1,L(x,y,z) \ u) \ u = (x \ 1) * ((L(x,y,z) \ 1) \ u). L(L(x,y,z) \ x,x \ 1,x \ u) * u = (L(x,y,z) \ 1) * ((x \ 1) \ u). x * (y * L(L(x,z,u) \ x,x,y)) = (x * (L(x,z,u) \ x)) * y. x * (L(L(y,z,u) \ y,L(y,z,u) \ y,x) \ (L(y,z,u) \ y)) = L(x,L(y,z,u) \ y,L(y,z,u) \ y). L(L(x,y,z) \ x,x,L(x,y,z) \ u) \ u = x * ((L(1 / x,y,z) \ 1) \ u). L(x,x,y \ L(y,z,u)) * (y \ L(y,z,u)) = (y / x) \ L(y,z,u). ((a(x,y,z) \ 1) * (u * w)) / (w * ((K(v5,v6) * (a(x,y,z) \ (v7 * v7))) * (v7 \ (v7 \ K(v6,v5))))) = R(u,w * (K(v5,v6) * (v7 * v7)),a(x,y,z)). x \ ((y * (a(z,u,w) \ 1)) * (y \ x)) = R(a(z,u,w) \ 1,y,y \ x). T(x / (y * (z \ L(z,u,w))),y) = (y * (z \ L(z,u,w))) \ x. T(x,y * (z \ L(z,u,w))) = T(x,y). ((x \ L(x,y,z)) * (x \ L(x,y,z))) * T(L(u,w,v5),x \ L(x,y,z)) = L(u * ((x \ L(x,y,z)) * (x \ L(x,y,z))),w,v5). x \ (((y \ L(y,z,u)) * (y \ L(y,z,u))) * T(w,y \ L(y,z,u))) = (x \ w) * ((y \ L(y,z,u)) * (y \ L(y,z,u))). T(x,y \ (z \ L(z,u,w))) = T(x,y \ 1). ((x \ L(x,y,z)) * u) * T(w,u) = w * (u * (x \ L(x,y,z))). R(x * K(y \ L(y,z,u),T(w,x)),y \ L(y,z,u),T(w,x)) = (w * (x * (y \ L(y,z,u)))) / (T(w,x) * (y \ L(y,z,u))). ((x \ L(x,y,z)) * (u * L(x,w,v5))) / (L(x,w,v5) * (x \ L(x,y,z))) = R(u * K(x \ L(x,y,z),L(x,w,v5)),x \ L(x,y,z),L(x,w,v5)). R(x,y,y) * (y \ L(y,z,u)) = R(x * (y \ L(y,z,u)),y,y). (R(x,y,y) * a(x,y,y)) \ L(R(x,y,y) * a(x,y,y),z,u) = L(x \ L(x,z,u),a(x,y,y),a(x,y,y)). (x * (L(y,z,u) \ y)) * y = (x * y) * (L(y,z,u) \ y). ((L(x,y,z) \ x) * (L(u,w,v5) \ u)) * v6 = v6 * ((L(u,w,v5) \ u) * (L(x,y,z) \ x)). K(x,x \ y) \ (K(x,x \ y) * ((z \ (x \ y)) \ L(z \ (x \ y),u,w))) = (z \ (y / x)) \ L(z \ (y / x),u,w). L(L(x \ L(x,y,z),x,u),u \ (x \ u),u) = x \ L(x,y,z). L((x \ 1) \ (y / x),z,u) \ (L((x \ 1) \ (y / x),z,u) / (1 / (x \ 1))) = L(x \ 1,(x \ 1) \ 1,L(y,z,u) / x). a(x,y,(z * u) * (z * L(u,w,v5))) = a(x,y,L(u * L(u,w,v5),z,z)). 1 / (L(x,y,z) * L(x \ 1,y,z)) = L(x,y,z) \ (L(1 / x,y,z) \ 1). a(x,y \ z,a(u,w,w \ u)) = a(x,z / y,a(w,w,w \ u)). a(x,y,L((z * u) \ 1,w,v5) * v6) = a(x,y,L((u \ 1) * z,w,v5) * v6). a(x,y,z \ (u * (w \ L(w \ 1,v5,v6)))) = a(x,y,z \ (u * (w * L(w,v5,v6)))). a(x,x \ K(y,z),u * L(u \ K(z,y),w,v5)) = a(x,x,u * L(u \ 1,w,v5)). (L(x,y,z) * L(x \ 1,y,z)) \ (u \ (L(x,y,z) * L(x \ 1,y,z))) = T(u \ 1,L(x,y,z) * (x \ 1)). T(x \ T(x * (L(y,z,u) * L(y \ 1,w,v5)),L(y,z,u) * (y \ 1)),x * ((y \ L(y,z,u)) * (y \ L(y,w,v5)))) = L(y,z,u) * L(y \ 1,w,v5). (L(a(x,y,z),u,w) * v5) * T(v6,(a(x,y,z) \ v5) * a(x,y,z)) = v6 * (((v5 / a(x,y,z)) * L(a(x,y,z),u,w)) * a(x,y,z)). (K(x * (y * z),u) * x) * (y * L(z,w,v5)) = T(x * (y * L(z,w,v5)),u). 1 * ((x * (y * (L(z,u,w) * L(z \ 1,u,w)))) / v5) = ((L(z,u,w) * L(z \ 1,u,w)) * (x * y)) / v5. ((x \ K(x * y,x \ 1)) \ y) * (x \ L(x,z,u)) = (y * (x * L(x,z,u))) / x. K(x,L(y,z,u) \ (y * w)) = K(x,w). (1 / x) \ R(L(y,z,u) \ y,x,x) = x * (L(y,z,u) \ y). L(L(x,y,z) \ x,u,(w \ 1) \ v5) = L(L(x,y,z) \ x,u,w \ v5). L((x * (y * z)) \ ((x * y) * z),u,w) = R(a(x,y,z),u,w). (x * y) \ ((x * (y * (L(z,u,w) \ z))) / (L(z,u,w) \ z)) = a(L(z,u,w) \ z,y,x). x * (L(L(x,y,z) \ x,x,u) * u) = (x * (L(x,y,z) \ x)) * u. ((L(x,y,z) \ x) * u) * T(w,u) = w * (u * (L(x,y,z) \ x)). x * a(x,x,L(y,z,u) \ y) = L(x,x,L(y,z,u) \ y). L(L(x,y,z) \ x,x,x \ u) * u = (L(x,y,z) \ 1) * ((x \ 1) \ u). R((x \ (L(y,z,u) * (y \ x))) \ 1,w,v5) = L((x \ (L(y,z,u) * (y \ x))) \ 1,w,v5). ((a(x,y,z) \ 1) * (u * w)) / (w * (K(v5,v6) * ((a(x,y,z) \ (v7 * v7)) * (v7 \ (v7 \ K(v6,v5)))))) = R(u,w * (K(v5,v6) * (v7 * v7)),a(x,y,z)). x \ ((y * (a(z,u,w) \ 1)) * (y \ x)) = L(a(z,u,w) \ 1,y,y \ x). (L(x,y,z) * L(x \ 1,y,z)) * T(L(u,w,v5),x \ L(x,y,z)) = L(u * ((x \ L(x,y,z)) * (x \ L(x,y,z))),w,v5). T(x,(y \ L(y,z,u)) * w) = T(x,w). T(x,y * (L(y,z,u) \ w)) = T(x,w). R(T(x / y,x),L(y,z,u),x / y) = T(x / y,L(y,z,u)). T(R(x * K(y,x),y,z \ L(z,u,w)),y) = (y * (z \ L(z,u,w))) \ ((y * x) * (z \ L(z,u,w))). x \ ((L(y,z,u) * L(y \ 1,z,u)) * T(w,y \ L(y,z,u))) = (x \ w) * ((y \ L(y,z,u)) * (y \ L(y,z,u))). T(x,y \ a(z,u,w)) = T(x,y \ (v5 \ L(v5,v6,v7))). R(x * K(y \ L(y,z,u),T(w,x)),y \ L(y,z,u),T(w,x)) = (w * (x * (y \ L(y,z,u)))) / T((y \ L(y,z,u)) * w,x). (x * y) * L(z \ L(z,u,w),y,x) = ((z \ L(z,u,w)) * y) * T(x,y). R(x * K(y \ L(y,z,u),L(y,w,v5)),y \ L(y,z,u),L(y,w,v5)) = R(x,L(y,w,v5),y * L(y,z,u)). R(x * (y \ L(y,y,x)),y,y) = x. (x \ L(y,z,u)) * ((x \ y) \ 1) = y \ L(y,z,u). (x * (L(x,y,z) \ (L(x,y,z) \ x))) * u = u * ((L(x,y,z) \ x) * (L(x,y,z) \ x)). ((x \ 1) * (x * y)) \ y = (x \ 1) \ (y / (x * y)). (L(x,y,z) / u) \ (x / u) = (u \ L(x,y,z)) \ (u \ x). T(x * y,z) \ T(L(T(u,w) / (x * y),v5,v6) \ T(u,w),z) = T(x * (y * L(y \ (x \ u),v5,v6)),w) \ T(u,w). (x \ (y / z)) \ L(x \ (y / z),u,w) = (x \ (z \ y)) \ L(x \ (z \ y),u,w). (x * (L(y,z,u) \ y)) \ ((x / y) * (L(1 / y,z,u) \ 1)) = x \ ((x / (L(y,z,u) \ y)) * L(L(y,z,u) \ y,y,x)). a(x,y,L(L(L(z,u,w) \ z,z,v5) * v5,v6,v7)) = a(x,y,L((z \ v5) * (L(1 / z,u,w) \ 1),v6,v7)). a(x,y,z * (L(L(u,w,v5) \ u,u,v6) * v6)) = a(x,y,z * ((v6 / u) * L(1 / u,w,v5))). a(x \ (L(L(y,z,u) \ y,y,w) * w),v5,v6) = a(x \ ((y \ w) * (L(1 / y,z,u) \ 1)),v5,v6). L((x \ 1) \ (y / x),z,u) \ (L((x \ 1) \ (y / x),z,u) / x) = L(x \ 1,(x \ 1) \ 1,L(y,z,u) / x). a(x,y,(z * u) * (L(u,w,v5) * z)) = a(x,y,L(u * L(u,w,v5),z,z)). a(x,y,L(z * L(z,u,w),z \ v5,z \ v5)) = a(x,y,v5 * ((z \ v5) * L(z,u,w))). ((x \ 1) / ((x \ 1) * y)) * L((x \ 1) * y,z,u) = ((y \ x) / x) \ L(y \ (x \ 1),z,u). a(x,y \ z,a(u,w,w \ u)) = a(x,y \ z,a(w,w,w \ u)). a(x,y,(z * ((L((u \ 1) * w,v5,v6) \ ((u \ 1) * w)) * (w * u))) * v7) = a(x,y,v7 * (z * L((u \ 1) * w,v5,v6))). a(x,y,L((z \ 1) * u,w,v5) * v6) = a(x,y,L(u * z,w,v5) * v6). a((x * (K(y,z) * u)) * w,v5,v6) = a((x * u) * w,v5,v6). a(x,y,((z * (K(u,w) * v5)) * v6) \ v7) = a(x,y,((z * v5) * v6) \ v7). L(x,(y * (K(z,u) * w)) * v5,v6) = L(x,(y * w) * v5,v6). K(x,T(y,z)) / z = (1 / z) * K(x,y). T(x,y) * K(z,T(u,y)) = T(x * K(z,u),y). a(x,(y * ((z \ T(u,w)) * v5)) \ v6,v7) = a(x,(y * (v5 * (z \ u))) \ v6,v7). a(x,(y * (T(z,u) * w)) \ v5,v6) = a(x,(y * (z * w)) \ v5,v6). L(x,y * ((z \ K(u,w)) * v5),v6) = L(x,y * ((z \ 1) * v5),v6). L(x,y * ((z * (K(u,w) * v5)) * v6),v7) = L(x,y * ((z * v5) * v6),v7). a(x * (y * ((T(z,u) \ 1) * (T(z,u) \ 1))),w,v5) = a(((T(z,u) \ 1) * (z \ 1)) * (y * x),w,v5). a(x,y,z \ ((u \ (u \ 1)) * (w * (v5 * v6)))) = a(x,y,z \ (w * (v5 * (v6 * (u \ (1 / u)))))). (1 / x) * K(y,z / x) = K(y,x \ z) / x. x \ (K(y,z) * (x * u)) = K(y,T(z,x)) * u. K(x,T(y,z)) * (z \ u) = (z \ u) * K(x,T(y,u)). x * (K(y,T(z,x)) * u) = K(y,z) * (x * u). K(x,T(y,z)) * (z * L(z \ u,w,v5)) = z \ (K(x,y) * L(z * u,w,v5)). a(x,y,(z * (u \ (K(w,v5) * v6))) * v7) = a(x,y,(z * (u \ v6)) * v7). a(x * (y \ (K(z,u) * w)),v5,v6) = a((y \ w) * x,v5,v6). K(x,T(y,z)) * ((z \ 1) * u) = (z \ K(x,y)) * u. L(x,y,(z \ (K(u,w) * v5)) * v6) = L(x,y,v6 * (z \ v5)). K(x,T(y,z)) * ((x \ z) \ u) = (T(x,y) \ z) \ u. a(x,y,z \ ((u \ (K(w,v5) * v6)) \ v7)) = a(x,y,z \ ((u \ v6) \ v7)). L(x,(y \ (K(z,u) * w)) \ v5,v6) = L(x,(y \ w) \ v5,v6). a(x,y \ ((z / u) \ w),v5) = a(x,y \ ((u \ z) \ w),v5). a(x,y \ ((T(z,u) \ w) * v5),v6) = a(x,y \ ((z \ w) * v5),v6). a(x,y \ ((T(z,u) * w) / v5),v6) = a(x,y \ ((z * w) / v5),v6). a(x,y \ (L(z / u,w,v5) \ v6),v7) = a(x,y \ (L(u \ z,w,v5) \ v6),v7). (1 / x) * K(y / x,z) = K(x \ y,z) / x. L(x,(((y \ z) * y) * (K(u,w) * v5)) * v6,v7) = L(x,v6 * (v5 * z),v7). a((x * (y / z)) * u,w,v5) = a((x * (z \ y)) * u,w,v5). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). K(x,T(y,x \ z)) / (x \ z) = 1 / (T(x,y) \ z). (1 / x) * K(y,x * z) = K(y,z * x) / x. a(x,y,(((z * (u * u)) \ w) * v5) * v6) = a(x,y,((z \ ((u * u) \ w)) * v5) * v6). a(x,y,(((z * z) \ (u \ w)) * v5) * v6) = a(x,y,((u \ ((z * z) \ w)) * v5) * v6). a(x,(y * (z * (u \ T(w,v5)))) \ v6,v7) = a(x,(y * (z * (u \ w))) \ v6,v7). a(x,(L(y,z,u) * (u * z)) \ w,v5) = a(x,(u * (y * z)) \ w,v5). a(x,y,((z * (u / w)) * v5) \ v6) = a(x,y,((z * (w \ u)) * v5) \ v6). a(x,y,((z * (T(u,w) \ v5)) * v6) \ v7) = a(x,y,((z * (u \ v5)) * v6) \ v7). L(x,y * (((z \ K(u,w)) \ 1) * (v5 * T(z \ K(u,w),(z \ K(u,w)) \ v5))),v6) = L(x,y * ((z \ 1) * (v5 * T((z \ K(u,w)) \ 1,(z \ K(u,w)) \ v5))),v6). L(x,y * (z * (u * (K(w,v5) * v6))),v7) = L(x,y * ((u * v6) * z),v7). L(x,y,(z \ (u * w)) * v5) = L(x,y,v5 * (z \ (w * u))). L(x,y,(z \ R(T(u,w),v5,v6)) * v7) = L(x,y,v7 * (z \ R(u,v5,v6))). L(x,y,z \ ((T(u,w) \ v5) \ v6)) = L(x,y,z \ ((u \ v5) \ v6)). L(x,((T(y,z) * u) \ w) \ v5,v6) = L(x,((y * u) \ w) \ v5,v6). a(x,y,z \ (((u * w) \ v5) \ v6)) = a(x,y,z \ (((w * u) \ v5) \ v6)). a(x,y,z \ (((u * K(w,v5)) \ v6) \ v7)) = a(x,y,z \ ((u \ v6) \ v7)). a(x,y,(z * (u \ (w / v5))) * v6) = a(x,y,(z * (u \ (v5 \ w))) * v6). a(x,y,(z \ (u * (w \ T(v5,v6)))) * v7) = a(x,y,(z \ (u * (w \ v5))) * v7). a(x,y,(((z \ 1) \ (u \ K(w,v5))) \ v6) * v7) = a(x,y,(((z \ 1) \ u) \ v6) * v7). a(x,y \ (((z \ 1) * (z \ 1)) \ u),w) = a(x,y \ (((z \ 1) \ z) * u),w). a(x,((y / T(z,z \ 1)) \ u) * ((z \ 1) * (z \ 1)),w) = a(x,(z * z) \ ((z \ y) \ u),w). a(x,y \ ((T(z,u) * w) / v5),v6) = a(x,y \ (v5 \ (z * w)),v6). a(x,L(y,z,u) \ (L(y \ 1,w,v5) \ 1),v6) = a(x,y * (L(y,z,u) \ (L(y,w,v5) \ y)),v6). (x / y) / ((x / y) / (1 / y)) = K(x,y \ 1) / y. K(x * (y \ (z * a(u,w,v5))),v6) = K(x * (y \ z),v6). K(x * (a(y,z,u) * w),v5) = K(x * w,v5). (x * y) / (a(z,u,w) * y) = (a(z,u,w) * y) \ (y * x). L(K(x \ y,x \ 1) / x,x \ 1,y) = (y * (x \ (x \ 1))) / (y * (x \ 1)). (1 / x) * K(y * (1 / x),z) = K(x \ y,z) / x. L(K(x \ y,z) / x,x \ 1,y) = y \ T(y / x,z). L(x,(((y \ z) * y) * (K(u,w) * v5)) * ((v6 * v6) \ v7),v8) = L(x,v7 * ((v6 * v6) \ (v5 * z)),v8). K(x,T(T(y,z),z)) != u | K(x,y) = u. ((x * y) \ K(x,x \ 1)) * (x * y) = x * (K(y \ (1 / x),y * x) / x). L(x,y,z * ((u * w) \ ((v5 * w) * u))) = L(x,y,L(T(v5,w),w,u) * z). L(x,y,(z \ L(T(u,w),v5,v6)) * v7) = L(x,y,v7 * (z \ R(u,v5,v6))). a(x,y,(z * ((u \ 1) \ ((u * u) \ w))) * v5) = a(x,y,(z * T(w / u,u \ 1)) * v5). L(x,y,z \ ((T(u,w) * u) * (T(u,w) \ v5))) = L(x,y,z \ ((u \ 1) \ v5)). a(x,y,z \ ((((u \ 1) * w) \ v5) \ v6)) = a(x,y,z \ (((w * u) \ v5) \ v6)). a(x,y,z \ ((((u * u) * w) \ v5) \ v6)) = a(x,y,z \ ((w \ v5) \ v6)). a(x,y,z \ ((((u \ 1) * (w * u)) \ v5) \ v6)) = a(x,y,z \ ((R(w,u,u) \ v5) \ v6)). a(x,y,z \ ((T(u / (w \ 1),w) \ v5) \ v6)) = a(x,y,z \ ((((w * w) * (w \ u)) \ v5) \ v6)). a(x,y,z \ (((R(u \ w,u,u) * u) \ v5) \ v6)) = a(x,y,z \ ((((w * (u \ 1)) * u) \ v5) \ v6)). a(x,y,z \ ((((u * T(w,w \ u)) * (w \ 1)) \ v5) \ v6)) = a(x,y,z \ (((w * (u * T(w \ 1,w \ u))) \ v5) \ v6)). a(x,y,z \ ((((u \ 1) * w) \ (u \ w)) \ v5)) = a(x,y,z \ ((u * (w \ (u \ w))) \ v5)). a(x,y,z \ (((L(1 / u,w,w) \ 1) \ v5) \ v6)) = a(x,y,z \ (((a(w,w,u) * u) \ v5) \ v6)). x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,(x \ y) \ 1) / (x \ y). K(x,y) * (z * ((x \ z) \ u)) = z * ((T(x,y) \ z) \ u). K((x \ y) \ z,T(u,y)) = K(z / (x \ y),T(u,x)). x * K(y,T(z,u * x)) = K(y,T(z,u)) * x. K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). K(x,K(y,z)) * ((u \ 1) * w) = (u \ K(x,K(y,z))) * w. x * ((T(y,z) \ x) \ K(y \ x,(y \ x) \ 1)) = K(y,z) * (x * (1 / (y \ x))). K(x,T(T(y,z),u)) = K(x,T(y,u * z)). K(x / y,T(z,u * x)) = K(y \ x,T(z,u)). K(x,T(y / (z / u),y)) * u = u * K(x,z \ (y * u)). K(x,(y / z) \ u) * z = z * K(x,y \ (u * z)). K(x,(y \ x) \ 1) / (y \ x) = y / (y / (1 / (y \ x))). L(K(x \ y,x \ 1) / x,x \ 1,y) = (y / (x * x)) / (y * (x \ 1)). x * (K(y \ x,z) / y) = T(x * (1 / y),z). a(x * ((T(y,z) * u) \ w),v5,v6) = a(((y * u) \ w) * x,v5,v6). a(x * (y * ((T(z,u) \ 1) * (T(z,u) \ 1))),w,v5) = a((y * x) * ((z \ 1) * (z \ 1)),w,v5). a(((x \ 1) * (x \ y)) * z,u,w) = a(z * (y / (x * x)),u,w). a(((x \ 1) * (x \ y)) * z,u,w) = a(z * ((x * x) \ y),u,w). ((x * y) \ K(x,x \ 1)) * (x * y) = x * (K(y \ (x \ 1),y * x) / x). K((x * y) / z,T(u,y * x)) = K(z \ (x * y),u). K(x,T(y \ (z * u),u)) = K(x,(y / u) \ z). L(K(x \ y,x \ 1) / x,x \ 1,y) = y / ((y * (x \ 1)) * (x * x)). x * (K(y,T(z,y \ x)) / (y \ x)) = T(x * (1 / (y \ x)),z). L(x,y * (((z \ K(u,w)) \ 1) * (v5 * T(z \ K(u,w),K(w,u) * (z * v5)))),v6) = L(x,y * ((z \ 1) * (v5 * T((z \ K(u,w)) \ 1,(z \ K(u,w)) \ v5))),v6). a(x * (y * ((T(z,u) \ 1) * (T(z,u) \ 1))),w,v5) = a(y * (x * ((z \ 1) * (z \ 1))),w,v5). a(x * (y * ((z \ 1) * (z \ 1))),u,w) = a((y * x) * ((z * z) \ 1),u,w). K(x / (y / z),T(u,z * x)) = K(y \ (x * z),u). a(x,y,z \ (u * (w * (v5 * (v6 \ (1 / v6)))))) = a(x,y,z \ ((u * (w * v5)) * (v6 \ v6))). K((x / y) \ z,T(u,y)) = K(x \ (z * y),u). K(x \ (y * z),T(u,z)) = K((x / z) \ y,u). x * (1 / (T(y,z) \ x)) = T(x * (1 / (y \ x)),z). ((x \ (1 / y)) * (y * x)) / (y * (K(x \ (y \ 1),x * y) / y)) = a(y,x,x \ (1 / y)). L(x,y,z * R(u * K(w,v5),w,v5)) = L(x,y,L(T(u,w),w,v5) * z). L(x,(((y \ z) * y) * (K(u,w) * v5)) * ((v6 * v6) \ v7),v8) = L(x,v7 * (v5 * ((v6 * v6) \ z)),v8). a(x,(y * z) \ (((u \ 1) * (u \ 1)) \ w),v5) = a(x,(y * (z * (u \ (u \ 1)))) \ w,v5). a(x,(y * (z * u)) \ (z * (u * y)),w) = a(x,a(y,u,z),w). a(x,((y / T(z,z \ 1)) \ u) * ((z * z) \ 1),w) = a(x,(z * z) \ ((z \ y) \ u),w). a(x,y \ (((z \ 1) * (z \ 1)) \ u),w) = a(x,y \ ((z * z) * u),w). a(x,y \ (z \ (T(u,w) * v5)),v6) = a(x,y \ (z \ (u * v5)),v6). a(x,y,(z * L(u \ K(w,v5),v6,v7)) \ v8) = a(x,y,(z * L(u,v6,v7)) \ v8). a(x,y,(((z * z) \ (u * w)) * v5) \ v6) = a(x,y,((u * ((z * z) \ w)) * v5) \ v6). a(x,y,((z * (T(u * u,w) \ v5)) * v6) \ (z * (v6 * v5))) = a(x,y,a(v6,v5 / T(u * u,w),z)). a(x,y,((z \ ((u * u) \ w)) * v5) * v6) = a(x,y,v6 * (v5 * (z \ w))). a(x,y,(z \ (u * (w \ (v5 / v6)))) * v7) = a(x,y,(z \ (u * (w \ (v6 \ v5)))) * v7). a(x,y,(z \ (u * ((w * v5) \ v5))) * v6) = a(x,y,(z \ (u * ((v5 * w) \ v5))) * v6). a(x,y,(z * ((u \ 1) \ ((u * u) \ w))) * v5) = a(x,y,(z * (w / u)) * v5). a(x,y,z \ ((((u * u) * (u \ w)) \ v5) \ v6)) = a(x,y,z \ (((w / (u \ 1)) \ v5) \ v6)). a(x,y,z \ ((L(1 / u,w,w) \ v5) \ v6)) = a(x,y,z \ (((a(w,w,u) * u) \ v5) \ v6)). a(x,y,z \ (u * (w * (v5 * (v6 \ (1 / v6)))))) = a(x,y,z \ (u * (w * v5))). L(x,y,z * R(u * K(w,v5),w,v5)) = L(x,y,L(u,w,v5) * z). L(x,y * (((z \ K(u,w)) \ 1) * (v5 * T(K(u,w) * (z \ 1),z * v5))),v6) = L(x,y * ((z \ 1) * (v5 * T((z \ K(u,w)) \ 1,(z \ K(u,w)) \ v5))),v6). a(x * (y * ((z \ 1) * (z \ 1))),u,w) = a((y * x) / (z * z),u,w). a(x,((y * z) * u) \ (y * (z * u)),w) = a(x,a(u,z,y),w). a(x,(y * z) \ (u \ (y * (z * u))),w) = a(x,a(u,z,y),w). a(x,y \ (z \ ((u / w) * v5)),v6) = a(x,y \ (z \ ((w \ u) * v5)),v6). a(x,((y / T(z,z \ 1)) \ u) / (z * z),w) = a(x,(z * z) \ ((z \ y) \ u),w). a(x \ (x * ((x \ ((y * z) * u)) * w)),v5,v6) = a((x \ (u * (T(y,v7) * z))) * w,v5,v6). a(x,y,((z * ((u * u) \ w)) * v5) \ v6) = a(x,y,(v5 * (z * w)) \ v6). a(x,y,(z * ((u * (L(u,w,v5) \ u)) * K(v6,v7))) \ v8) = a(x,y,(z * L(u,w,v5)) \ v8). a(x,y,(((z * (u * u)) \ w) * v5) * v6) = a(x,y,v6 * (v5 * (z \ w))). a(x,y,(z * (u \ ((w * w) \ v5))) * v6) = a(x,y,v6 * (z * (u \ v5))). a(x,y,(z * ((u \ 1) \ ((u * u) \ w))) * v5) = a(x,y,(z * (u \ w)) * v5). a(x,y,z \ ((((u * u) * (u \ w)) \ v5) \ v6)) = a(x,y,z \ ((((u \ 1) \ w) \ v5) \ v6)). L(K(x \ y,x \ 1) / x,x \ 1,y) = y / (y * ((x \ 1) * (x * x))). a(x * (y * ((z \ 1) * (z \ 1))),u,w) = a(y * (x / (z * z)),u,w). a(x,y \ (z \ ((u \ w) * u)),v5) = a(x,y \ (z \ w),v5). a((x \ (y * (T(z,u) * w))) * v5,v6,v7) = a((x \ ((z * w) * y)) * v5,v6,v7). a(x,y,((z * (L(z,u,w) \ z)) * v5) \ v6) = a(x,y,(v5 * L(z,u,w)) \ v6). a(x,y,z * (u * ((w \ 1) \ v5))) = a(x,y,(u * (w \ v5)) * z). a(x,y,z \ ((((u \ 1) \ w) \ v5) \ v6)) = a(x,y,z \ (((u \ w) \ v5) \ v6)). L(K(x \ y,x \ 1) / x,x \ 1,y) = y / (y * x). L(x,y,z \ ((u * T(u,w)) * (T(u,w) \ v5))) = L(x,y,z \ ((u \ 1) \ v5)). a(x * (y * ((z \ 1) * (z \ 1))),u,w) = a(y * ((z * z) \ x),u,w). a(x,L(y \ L(y,z,u),y,u * z),w) = a(x,a(y,z,u),w). a(x,R(y,z,z) \ y,u) = a(x,a(z,z,y),u). a(((x * y) \ ((x * z) * y)) * u,w,v5) = a(L(z,x,y) * u,w,v5). L(x,y * ((z \ 1) * (u * T((z \ K(w,v5)) \ 1,(z \ K(w,v5)) \ u))),v6) = L(x,y * (((z \ K(w,v5)) \ 1) * (u * (K(w,v5) * (z \ 1)))),v6). a(x,y,z \ (u * (w * (v5 * (1 / v6))))) = a(x,y,z \ (u * (w * (v5 * v6)))). a(x,y,z \ (u * (w * L(1 / v5,v6,v7)))) = a(x,y,z \ (u * (w * L(v5,v6,v7)))). x \ T(x / y,y \ 1) = x / (x * y). L(x,y,z \ ((u * u) * (u \ w))) = L(x,y,z \ ((u \ 1) \ w)). a(x * (y * ((T(z,u) \ 1) * (T(z,u) \ 1))),w,v5) = a(x * ((z * z) \ y),w,v5). a(x,(y / T(z,z \ 1)) \ (u / (z * z)),w) = a(x,(z * z) \ ((z \ y) \ u),w). a(x,y \ L(y,z,z),u) = a(x,a(y,z,z),u). a(x,L(y \ L(y,z,u),y,z * u),w) = a(x,a(y,z,u),w). a(x,a(y,z,z) \ 1,u) = a(x,a(z,z,y),u). a(x,(y * z) \ (((u \ 1) * (u \ 1)) \ w),v5) = a(x,(y * (z / (u * u))) \ w,v5). L(x,y * ((z \ 1) * (u * T((z \ K(w,v5)) \ 1,(z \ K(w,v5)) \ u))),v6) = L(x,y * ((u * (z \ 1)) * ((z \ K(w,v5)) \ 1)),v6). a(x,y,a(z,u / T(w * w,v5),v6)) = a(x,y,((v6 * ((w * w) \ u)) * z) \ (v6 * (z * u))). x \ T(T(x,y) / y,T(y,x) \ 1) = x / (x * T(y,x)). a(x,y,z \ (u / (u * w))) = a(x,y,z \ (u \ (u / w))). a((x / (x * y)) \ z,u,w) = a((x \ (x / y)) \ z,u,w). L(x,(y / (y * z)) * u,w) = L(x,(y \ (y / z)) * u,w). a(x,y,(z \ (u * (w / (w * v5)))) * v6) = a(x,y,(z \ (u * (w \ (w / v5)))) * v6). L(x,((y * y) \ z) * (((u \ w) * u) * v5),v6) = L(x,z * (v5 * ((y * y) \ w)),v6). L(x,y,(z * z) * (u \ (z \ w))) = L(x,y,u \ ((z \ 1) \ w)). a(x * ((T(y,z) * T(y,z)) \ u),w,v5) = a(u * ((y * y) \ x),w,v5). a(x,(y / T(z,z \ 1)) \ ((z * z) \ u),w) = a(x,(z * z) \ ((z \ y) \ u),w). a(x,(((y * z) \ u) * y) \ (z \ u),w) = a(x,a(z,y,(y * z) \ u),w). a(x,(y * z) \ (((u \ 1) * (u \ 1)) \ w),v5) = a(x,(y * ((u * u) \ z)) \ w,v5). L(x,y * ((z \ 1) * (u * T((z \ K(w,v5)) \ 1,(z \ K(w,v5)) \ u))),v6) = L(x,y * ((u * (1 / z)) * (K(v5,w) * z)),v6). x \ T(T(x,y) / y,T(y \ 1,x)) = x / (x * T(y,x)). a(((x * y) \ x) \ z,u,w) = a((x \ (x / y)) \ z,u,w). a(x,y,z \ ((u * w) \ u)) = a(x,y,z \ (u \ (u / w))). L(x,((y * z) \ y) * u,w) = L(x,(y \ (y / z)) * u,w). a(x,y,(z \ (u * ((w * v5) \ w))) * v6) = a(x,y,(z \ (u * (w \ (w / v5)))) * v6). L(x,((y * y) \ z) * (u * w),v5) = L(x,z * (w * ((y * y) \ u)),v5). L(x,y,z \ ((a(u,w,v5) \ 1) \ v6)) = L(x,y,z \ (a(u,w,v5) \ v6)). a(((x * T(x,y)) \ z) * u,w,v5) = a(z * ((x * x) \ u),w,v5). a(x,(T(y,y \ 1) \ z) \ ((y * y) \ u),w) = a(x,(y * y) \ ((y \ z) \ u),w). L(x,y * ((z \ 1) * (u * T((z \ K(w,v5)) \ 1,(z \ K(w,v5)) \ u))),v6) = L(x,y * ((u * (1 / z)) * z),v6). x \ T(T(x,y) / y,T(y \ 1,x)) = x / (y * x). a(((x * y) \ x) \ z,u,w) = a((x \ (y \ x)) \ z,u,w). a(x,y,z \ ((u * w) \ u)) = a(x,y,z \ (u \ (w \ u))). L(x,((y * z) \ y) * u,w) = L(x,(y \ (z \ y)) * u,w). a(x,y,(z \ (u * ((w * v5) \ w))) * v6) = a(x,y,(z \ (u * (w \ (v5 \ w)))) * v6). L(x,y * ((z * z) \ (u * w)),v5) = L(x,y * (w * ((z * z) \ u)),v5). a(((x * x) \ y) * z,u,w) = a(y * ((x * x) \ z),u,w). a(x,(y * ((z * z) \ u)) \ w,v5) = a(x,(y * u) \ ((z * z) * w),v5). a(x,(y \ z) \ ((y * y) \ u),w) = a(x,(y * y) \ ((y \ z) \ u),w). L(x,y * ((z \ 1) * (u * T((z \ K(w,v5)) \ 1,(z \ K(w,v5)) \ u))),v6) = L(x,y * R(u,z \ 1,z),v6). a(x,y,z \ (u * (w \ (T(w,v5) / v5)))) = a(x,y,z \ (u * (w / (v5 * w)))). a(x,y,z \ (u * (w * (v5 \ (T(v5,v6) / v6))))) = a(x,y,z \ (u * (w * (v5 / (v6 * v5))))). a(L(x,x,y),z,u) = a((y \ (x \ y)) \ 1,z,u). a(x,y,L(z * u,z * u,L(u,u,z))) = a(x,y,z \ (z \ (u \ z))). a(x,y,L(z * u,z * u,z)) = a(x,y,z \ (z \ (u \ z))). L(x,(y \ (z \ y)) * z,u) = L(x,a(y,z,z) \ 1,u). a(x,y,(z \ (u * ((w * v5) \ v5))) * v6) = a(x,y,(z \ (u * (v5 \ (w \ v5)))) * v6). L(x,y * (z * ((u * u) \ u)),w) = L(x,y * L(u \ z,u,u),w). a(x,(y * y) \ ((y \ z) \ u),w) = a(x,((y \ 1) \ z) \ u,w). a(x,(y * ((y * z) \ u)) \ (z \ u),w) = a(x,a(z,y,(y * z) \ u),w). L(x,y * ((z \ 1) * (u * T((z \ K(w,v5)) \ 1,K(v5,w) * (z * u)))),v6) = L(x,y * R(u,z \ 1,z),v6). a(x,y,z \ (u * (w \ (T(w,v5) / v5)))) = a(x,y,z \ (u * ((v5 * w) \ w))). a(x,y,z \ (u * (w * (v5 \ (T(v5,v6) / v6))))) = a(x,y,z \ (u * (w * ((v6 * v5) \ v5)))). a(x,y,L(z * u,u * z,u)) = a(x,y,u \ (u \ (z \ u))). a(x,y,(((z \ 1) \ u) * w) * v5) = a(x,y,(w * (z \ u)) * v5). L(x,y * ((z \ 1) * (u * T(((z \ 1) \ 1) * K(w,v5),z * u))),v6) = L(x,y * R(u,z \ 1,z),v6). a(x,y,z \ (u * (w \ (v5 \ T(w,v5))))) = a(x,y,z \ (u * ((v5 * w) \ w))). a(x,y,z \ (u * (w * (v5 \ (v6 \ T(v5,v6)))))) = a(x,y,z \ (u * (w * ((v6 * v5) \ v5)))). K(x,x \ y) / (y \ x) = y / (y / (1 / (y \ x))). a(x,(y * z) \ ((y * y) * (y \ z)),u) = a(x,a(y,y,(y * y) \ z),u). L(x,y * ((z \ 1) * (u * T((z \ 1) \ K(w,v5),z * u))),v6) = L(x,y * R(u,z \ 1,z),v6). a(x,y,z \ (u * ((w * v5) \ v5))) = a(x,y,z \ (u * (v5 \ (w \ v5)))). a(x,y,z \ (u * (w * ((v5 * v6) \ v6)))) = a(x,y,z \ (u * (w * (v6 \ (v5 \ v6))))). K((x * y) * z,((x * y) * z) \ (x * (z * y))) / (K(y,z) * a(x,y,z)) = (x * (z * y)) / ((x * (z * y)) / (1 / ((x * (z * y)) \ ((x * y) * z)))). a(x,a(y,y,(y * y) \ z),u) = a(x,a(y,y,y \ z),u). L(x,y * ((z \ 1) * (u * ((z \ 1) \ K(w,v5)))),v6) = L(x,y * R(u,z \ 1,z),v6). a(x,y,z \ (u * (R(w,v5,v5) \ (v5 \ 1)))) = a(x,y,z \ (u * (v5 \ ((w * v5) \ v5)))). a(x,a(y,y,y \ z),u) = a(x,a(y,y,z),u). L(x,y * ((1 / z) * (u * (z * K(w,v5)))),v6) = L(x,y * R(u,z \ 1,z),v6). a(x,y,z \ (u * (w \ ((v5 * w) \ w)))) = a(x,y,z \ (u * (R(v5,w,w) \ w))). a(x,y,z \ (u * (w * (v5 * (v6 \ 1))))) = a(x,y,z \ (u * (w * (v5 * v6)))). a(x,y,z \ ((u * (w * (L(w,v5,v6) \ w))) * v7)) = a(x,y,z \ (v7 * (u * L(w,v5,v6)))). a(x,y,L(z,u,w) \ L(L(z \ 1,u,w),v5,v5)) = a(x,y,L(a(z,v5,v5),u,w)). (L(x,y,z) * L(x \ 1,y,z)) \ (u \ (L(x,y,z) * L(x \ 1,y,z))) = u \ 1. T(x \ (x * (L(y,z,u) * L(y \ 1,w,v5))),x * ((y \ L(y,z,u)) * (y \ L(y,w,v5)))) = L(y,z,u) * L(y \ 1,w,v5). (K(x * (y \ L(y,z,u)),w) * x) * (L(y,z,u) * L(y \ 1,v5,v6)) = T(x * (L(y,z,u) * L(y \ 1,v5,v6)),w). (x * (y * (L(z,u,w) * L(z \ 1,u,w)))) / (x * y) = L(z,u,w) * L(z \ 1,u,w). (x / (y \ 1)) * (y \ L(y,z,u)) = (x * (y * L(y,z,u))) / y. K(x,(y \ L(y,z,u)) \ w) = K(x,w). K(x,y / L(z,u,w)) = K(x,y / z). (1 / x) \ L(L(y,z,u) \ y,x,x) = x * (L(y,z,u) \ y). L(L(x,y,z) \ x,x,L(u,u,x)) = L(L(x,y,z) \ x,x,u \ x). R(a(x,y,z),u,w) = L(a(x,y,z),u,w). (x * y) \ ((z \ L(z,u,w)) \ (x * (y * (z \ L(z,u,w))))) = a(L(z,u,w) \ z,y,x). L(L(x,y,z) \ x,x,u) * u = (L(x,y,z) \ 1) * ((x \ 1) \ u). x * a(x,x,y * L(y,z,u)) = L(x,x,L(y,z,u) \ y). R((x \ ((x / y) * L(y,z,u))) \ 1,w,v5) = L((x \ (L(y,z,u) * (y \ x))) \ 1,w,v5). R(x,y * (K(z,u) * (w * w)),a(v5,v6,v7)) = ((a(v5,v6,v7) \ 1) * (x * y)) / (y * (K(z,u) * (a(v5,v6,v7) \ K(u,z)))). L(x * ((y \ L(y,z,u)) * (y \ L(y,z,u))),w,v5) = (L(y,z,u) * L(y \ 1,z,u)) * L(x,w,v5). T(x,L(y,z,u) * w) = T(x,y * w). T(x,L(y,z,u) \ w) = T(x,y \ w). (x * (L(y,z,u) \ y)) * T(w,x) = w * ((L(y,z,u) \ y) * x). R(a(x,y,z) / u,L(u,w,v5),a(x,y,z) / u) = T(a(x,y,z) / u,L(u,w,v5)). T(R(x * K(y,x),y,z * L(z,u,w)),y) = (y * (z \ L(z,u,w))) \ ((y * x) * (z \ L(z,u,w))). (x \ y) * ((z \ L(z,u,w)) * (z \ L(z,u,w))) = x \ ((L(z,u,w) * L(z \ 1,u,w)) * y). R(x * K(y \ L(y,z,u),T(w,x)),y \ L(y,z,u),T(w,x)) = L(x,y \ L(y,z,u),w). R(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w). R(x,y,z) \ L(R(x,y,z),u,w) = L(x \ L(x,u,w),y,z). R(x \ L(x,y,z),u,(w * L(w,v5,v6)) * v7) = L(x \ L(x,y,z),u,(w \ L(w,v5,v6)) * v7). L(x \ L(x,y,z),u,((w \ 1) * v5) * v6) = R(x \ L(x,y,z),u,v6 * (v5 * w)). L(x \ L(x,y,z),u,(w \ 1) \ v5) = R(x \ L(x,y,z),u,w \ v5). L(x \ L(x,y,z),u,w * ((v5 * v5) * v6)) = R(x \ L(x,y,z),u,w * v6). L(x \ L(x,y,z),u,w * (v5 \ 1)) = R(x \ L(x,y,z),u,w * v5). L(x \ L(x,y,z),u,w \ 1) = R(x \ L(x,y,z),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) * (u * w) = ((x \ L(x,y,z)) * u) * w. (L(x,y,z) \ x) * L(x \ L(x,y,z),u,u) = a(x \ L(x,y,z),u,u). L((T(x,y) \ z) \ L(T(x,y) \ z,u,w),v5,v6) = R((x \ z) \ L(x \ z,u,w),v5,v6). L(x,x,y \ L(y,z,u)) * L(y \ L(y,z,u),x,x) = x * (y \ L(y,z,u)). L(x,y,z) \ (L(x \ L(x,u,w),x \ L(x,u,w),v5) * v5) = (x \ L(x,u,w)) \ (L(x,y,z) \ (((x \ L(x,u,w)) * (x \ L(x,u,w))) * v5)). L(x \ L(x,y,y \ L(y,z,u)),w,v5) = a(R(x,w,v5),y,y * L(y,z,u)). L(R(x,y,z),u,w) \ R(x,y,z) = L(x \ L(x,u,w),y,z) \ 1. L(x,y,L(x \ L(x,z,u),w,v5)) = x. x * ((L(R(x,y,z),u,w) * (R(T(x,v5),y,z) \ T(x,v5))) \ x) = L(L(x \ L(x,u,w),y,z),R(x,y,z),x) \ x. L(x \ L(x,y,z),u,(w \ L(w,v5,v6)) * v7) = L(x \ L(x,y,z),u,(w * L(w,v5,v6)) * v7). L(x \ L(x,y,z),u,((w \ 1) * v5) * v6) = L(x \ L(x,y,z),u,v6 * (v5 * w)). L(x \ L(x,y,z),u,w * (v5 \ 1)) = L(x \ L(x,y,z),u,w * v5). L(x \ L(x,y,z),u,w * ((v5 * v5) * v6)) = L(x \ L(x,y,z),u,w * v6). L(x \ L(x,y,z),u,(w \ 1) \ v5) = L(x \ L(x,y,z),u,w \ v5). L(x \ L(x,y,z),u,w \ 1) = L(x \ L(x,y,z),u,w). (((x \ L(x,y,z)) * u) * w) \ ((x \ L(x,y,z)) * (u * w)) = a(w,u,x \ L(x,y,z)). L((T(x,y) \ z) \ L(T(x,y) \ z,u,w),v5,v6) = L((x \ z) \ L(x \ z,u,w),v5,v6 \ 1). R(x,x,y * L(y,z,u)) = L(x,x,y \ L(y,z,u)). x * (L(x,y,z) \ L(x \ L(x,y,z),u,u)) = a(x \ L(x,y,z),u,u). L(a(x,y,y * L(y,z,u)),w,v5) = a(R(x,w,v5),y,y * L(y,z,u)). R(x,y,z) * (L(x \ L(x,u,w),y,z) \ 1) = L(1 / R(x,y,z),u,w) \ 1. R(T(x,y),z,u) \ ((L(T(x,y) \ L(T(x,y),w,v5),z,u) \ 1) * T(x,y)) = (R(x,z,u) \ x) * (L(R(T(x,y),z,u),w,v5) \ R(T(x,y),z,u)). T((L(R(x,y,z),u,w) \ R(x,y,z)) * v5,v6) = (L(x \ L(x,u,w),y,z) \ 1) * T(v5,v6). L(x,y,a(x,z,u)) = x. L(x \ L(x,y,z),u,w * (L(v5,v6,v7) \ v5)) = L(x \ L(x,y,z),u,w * (v5 * L(v5,v6,v7))). ((x \ 1) * (y * x)) \ L((x \ 1) * (y * x),z,u) = L(y \ L(y,z,u),x,x). ((x \ L(x,y,z)) * u) \ (((x \ L(x,y,z)) * (u * w)) / w) = a(w,u,x \ L(x,y,z)). L((T(x,y) \ z) \ L(T(x,y) \ z,u,w),v5,v6) = L(x \ (z * L(z \ x,u,w)),v5,v6 \ 1). x * a(x,x,y * L(y,z,u)) = L(x,x,y \ L(y,z,u)). a(x,x,y * L(y,z,u)) \ 1 = a(y \ L(y,z,u),x,x). L(a(x,y,y * L(y,z,u)),w,v5) = a(L(x,w,v5),y,y * L(y,z,u)). (R(x,y,z) \ x) * (L(R(T(x,u),y,z),w,v5) \ R(T(x,u),y,z)) = R(T(x,u),y,z) \ ((L(x \ L(x,w,v5),y,z) \ 1) * T(x,u)). (L(x \ L(x,y,z),u,w) \ 1) * T(v5,v6) = T((L(x \ L(x,y,z),u,w) \ 1) * v5,v6). R(x,y,a(x,z,u)) = x. L(x \ 1,y,a(x,z,u)) = x \ 1. a(x,y,z) * (1 / x) = a(x,y,z) / x. (x * a(y,z,u)) * y = a(y,z,u) * (x * y). (a(x,y,z) * u) * x = a(x,y,z) * (u * x). a(x,y,z) * (x * u) = x * (a(x,y,z) * u). x * (a(x,y,z) \ 1) = a(x,y,z) \ x. (a(x,y,z) \ 1) * x = a(x,y,z) \ x. L(x,y,a(L(x,z,u),w,v5)) = x. L(R(x,y,z),u,a(x,w,v5)) = R(x,y,z). L(L(x,y,z),u,a(x,w,v5)) = L(x,y,z). (a(x,y,z) * u) * L(x,w,v5) = a(x,y,z) * (u * L(x,w,v5)). (a(x,y,z) \ 1) * R(x,u,w) = a(x,y,z) \ R(x,u,w). x \ L(L(x,y,z),u,a(x,w,v5)) = L(x \ L(x,y,z),u,a(x,w,v5)). (x * y) * a(x,z,u) = x * (a(x,z,u) * y). (x * y) * a(x,z,u) = x * (y * a(x,z,u)). a(x,y,z) * (x * u) = x * (u * a(x,y,z)). (R(x,y,z) \ x) * (L(R(T(x,u),y,z),w,v5) \ R(T(x,u),y,z)) = R(T(x,u),y,z) \ T((L(x \ L(x,w,v5),y,z) \ 1) * x,u). a(x,y,z) \ (a(x,y,z) / x) = 1 / x. (1 / x) * a(x,y,z) = a(x,y,z) / x. (x * (a(y,z,u) * y)) \ (a(y,z,u) * (x * y)) = a(x,a(y,z,u),y). R(a(x,y,z),u,x) = a(x,y,z). (a(x,y,y) * (z * (x * y))) \ ((a(x,y,y) * (z * x)) * y) = a(a(x,y,y) * z,x,y). x \ (a(x,y,z) \ x) = a(x,y,z) \ 1. (x * y) * a(L(x,z,u),w,v5) = x * (y * a(L(x,z,u),w,v5)). R(R(x,y,z),u,a(x,w,v5)) = R(x,y,z). a(x,y,z) \ (u * R(x,w,v5)) = (a(x,y,z) \ u) * R(x,w,v5). (R(x,y,z) * u) * a(x,w,v5) = R(x,y,z) * (u * a(x,w,v5)). (x * (a(y,z,u) * L(y,w,v5))) \ (a(y,z,u) * (x * L(y,w,v5))) = a(x,a(y,z,u),L(y,w,v5)). L(x \ L(x,y,z),u,a(x,w,v5)) = x \ L(x,y,z). ((x * y) * y) \ L((x * y) * y,z,u) = L(x \ L(x,z,u),y,y). ((x \ L(x,y,z)) * u) \ (((x \ L(x,y,z)) * (u * w)) / w) = a(w,u,x * L(x,y,z)). ((x \ L(x,y,z)) * u) \ (((x \ L(x,y,z)) * (u * w)) / w) = a(w \ 1,u,x \ L(x,y,z)). L(T(x,y) \ (z * L(z \ T(x,y),u,w)),v5,v6) = L(x \ (z * L(z \ x,u,w)),v5,v6 \ 1). L(a(x,x,y \ L(y,z,u)),w,y) \ 1 = a(y \ L(y,z,u),x,x). ((((a(x,y,z) / x) / a(x,y,z)) / u) * (u * a(x,y,z))) \ (a(x,y,z) / x) = a(u \ (1 / x),u,a(x,y,z)). L(a(x,y,z),u,u \ (1 / w)) * (a(w,v5,v6) \ (a(w,v5,v6) / w)) = (((a(w,v5,v6) / w) / a(w,v5,v6)) / u) * (u * a(x,y,z)). a(x,a(y,z,u),y) = a(x,y,a(y,z,u)). L(a(x,y,z),u,w) * (1 / x) = L(a(x,y,z),u,w) / x. x * (y \ L(y,y,x)) = a(x,y,y) \ x. a(x,L(y,z,u),a(y,w,v5)) = a(x,a(y,w,v5),L(y,z,u)). (R(x,y,y) * a(x,y,y)) \ L(R(x,y,y) * a(x,y,y),z,u) = x \ L(x,z,u). (a(x,y,z) / x) * L(x,u,w) = a(x,y,z) * (x \ L(x,u,w)). a(x,y,z) * (T(u,a(x,y,z)) * L(x \ L(x,w,v5),v6,v7)) = (u * a(x,y,z)) * L(x \ L(x,w,v5),v6,v7). a(x,y,z) * (u * L(x \ L(x,w,v5),a(x,y,z),u)) = u * (a(x,y,z) * (x \ L(x,w,v5))). R(a(x,y,y) \ x,y,y) = x. L(a(x,y,z),u,u \ (w \ 1)) * (a(w,v5,v6) \ (a(w,v5,v6) / w)) = (((a(w,v5,v6) / w) / a(w,v5,v6)) / u) * (u * a(x,y,z)). L(a(x,a(y,z,u),y),w,y) = a(x,y,a(y,z,u)). x \ (a(y,x,a(x,z,u)) \ x) = a(y,a(x,z,u),x) \ 1. a(x,y,z) * ((x \ 1) * u) = (x \ 1) * (a(x,y,z) * u). ((x \ 1) * y) * a(x,z,u) = (x \ 1) * (a(x,z,u) * y). a(x,L(y,z,u),a(w,y,y)) = a(x,a(y,y,w),L(y,z,u)). R(a(x,y,z) / x,L(x,u,w),a(x,y,z) / x) \ L(x,u,w) = L(x,u,w) * ((a(x,y,z) * (x \ L(x,u,w))) \ L(x,u,w)). (x * a(y,z,u)) * L(y \ L(y,w,v5),v6,v7) = a(y,z,u) * (x * L(y \ L(y,w,v5),v6,v7)). (R(x,y,z) \ x) * (L(R(T(x,u),y,z),w,v5) \ R(T(x,u),y,z)) = R(T(x,u),y,z) \ T(L(x \ L(x,w,v5),y,z) \ x,u). (x * (y * x)) \ L(x * (y * x),z,u) = L(y \ L(y,z,u),x,x). a(x \ 1,y,z \ L(z,u,w)) = a(x,y,z * L(z,u,w)). (a(x,y,z) \ 1) * (x * u) = x * (u * (a(x,y,z) \ 1)). x * ((y * z) * a(x,y,z)) = (x * y) * z. x * ((x \ y) * a(x,z,u)) = y * a(x,z,u). x \ (y * a(x,z,u)) = (x \ y) * a(x,z,u). (x \ 1) * a(x,y,z) = x \ a(x,y,z). L(x,y,z) \ (u * a(x,w,v5)) = (L(x,y,z) \ u) * a(x,w,v5). x \ ((x * y) * z) = (y * z) * a(x,y,z). a(T(x,y),y,y) \ T(x,y) = y \ (x / (y \ 1)). L(x \ (y * L(y \ x,z,u)),w,v5 \ 1) = L(x \ (y * L(y \ x,z,u)),w,v5). R(x,L(y,z,u),y * L(y,w,v5)) = R(x,y \ L(y,w,v5),L(y,z,u)). x * (L(L(x,y,z) \ x,u,w) \ 1) = L(L(x,y,z) \ x,u,w) \ x. L(a(x,y,a(y,z,u)),w,y) = a(x,y,a(y,z,u)). x \ (a(y,x,a(x,z,u)) \ x) = a(y,x,a(x,z,u)) \ 1. a(x,a(y,z,z),L(z,u,w)) = a(x,a(z,z,y),L(z,u,w)). R(a(x,y,z) / x,L(x,u,w),x \ a(x,y,z)) \ L(x,u,w) = L(x,u,w) * ((a(x,y,z) * (x \ L(x,u,w))) \ L(x,u,w)). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = ((L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) * a(x,y,z)) * L(x \ L(x,u,w),v5,v6). R(a(x,y,z) / x,L(x,u,w),x * a(x,y,z)) \ L(x,u,w) = L(x,u,w) * ((a(x,y,z) * (x \ L(x,u,w))) \ L(x,u,w)). R(a(x,y,y) * x,y,y) \ L(R(x,y,y) * a(x,y,y),z,u) = x \ L(x,z,u). ((L(x,y,z) / u) \ x) \ 1 = u \ (x \ L(x,y,z)). (x * (L(x,y,z) \ (L(x,y,z) \ x))) * u = u / (L(x,y,z) * L(x \ 1,y,z)). (x * (L(x,y,z) \ (L(x,y,z) \ x))) * L(u,w,v5) = L(u * ((L(x,y,z) \ x) * (L(x,y,z) \ x)),w,v5). a(L(x,y,z),z,z * L(z,u,w)) = a(x,z,z * L(z,u,w)). ((x \ 1) * (x * y)) \ y = x * (y / (x * y)). T(x * (y * L(y \ (x \ z),u,w)),v5) \ T(z,v5) = T(x * y,v6) \ T(L(z / (x * y),u,w) \ z,v6). K(x \ 1,x) * a(y,x \ 1,x) = a(y * (1 / x),x,x). x * (((x / (y * z)) * L(y * z,u,w)) \ x) = (z * y) * (L(z * y,u,w) \ x). (x * (L(y,z,u) \ y)) \ ((x / y) * (L(1 / y,z,u) \ 1)) = x \ (((L(y,z,u) \ y) \ x) * L(L(y,z,u) \ y,y,x)). a(x,y,L(L(L(z,u,w) \ z,z,v5) * v5,v6,v7)) = a(x,y,L((z \ v5) * L(1 / z,u,w),v6,v7)). a(x,y,z * (L(L(u,w,v5) \ u,u,v6) * v6)) = a(x,y,z * ((v6 / u) * L(u \ 1,w,v5))). a(x \ (L(L(y,z,u) \ y,y,w) * w),v5,v6) = a(x \ ((y \ w) * (L(y \ 1,z,u) \ 1)),v5,v6). a(a(x,x,x \ y),L(x \ y,x,x),z) = a(y * (x \ 1),a(x,x,y),z). a(x,a(y,y,z * y),u) = a(x,a(y,y,z),u). L(x,((1 / y) * (z * y)) * u,w) = L(x,u * R(z,y \ 1,y),w). L(x,y,z) \ (u / (T(x \ L(x,w,v5),u) \ 1)) = (x \ L(x,w,v5)) \ (L(x,y,z) \ (((x \ L(x,w,v5)) * (x \ L(x,w,v5))) * u)). (x \ y) \ (K(z,u) * K(x,w)) = (T(x,w) \ y) \ K(z,u). K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). x * K(y \ (z \ x),y * z) = ((y * z) \ x) * (y * z). a(x,y,(z * ((L(u * w,v5,v6) \ (u * w)) * (u * w))) * v7) = a(x,y,v7 * (z * L((w \ 1) * u,v5,v6))). a(x,y,z * L(u * (w \ 1),v5,v6)) = a(x,y,L(u * w,v5,v6) * z). a(x,y,z \ (((u * (w \ 1)) * v5) * v6)) = a(x,y,z \ (v6 * (v5 * (u * w)))). a(x,y,((z * ((u * u) \ w)) * v5) \ (z * (v5 * w))) = a(x,y,a(v5,(u * u) \ w,z)). a(x,y,L(z * L(z,u,u),w,v5)) = a(x,y,L(a(z,u,u),w,v5)). L(x,y \ (z \ y),(y \ (z \ y)) \ 1) = x * (((z * a(z \ y,z,z)) * ((y \ (y / z)) * x)) / x). K(x * (y \ (a(z,u,w) \ v5)),v6) = K(x * (y \ v5),v6). T(x * K(y * x,z),y * a(u,w,v5)) = (y * a(u,w,v5)) \ T((a(u,w,v5) * y) * T(x,y),z). T(x,x \ a(y,z,u)) = (x \ (w \ L(w,v5,v6))) \ (w \ L(w,v5,v6)). ((R(x,y,y) \ x) * L(y,y,x)) \ L((R(x,y,y) \ x) * (y * (R(x,y,y) \ x)),z,u) = L(y \ L(y,z,u),R(x,y,y) \ x,R(x,y,y) \ x). a(x \ 1,y,z * L(z,u,w)) = a(x,y,z * L(z,u,w)). (L(x,y,z) * L(x \ 1,y,z)) * L(u,w,v5) = L(u * (L(x,y,z) * L(x \ 1,y,z)),w,v5). x \ ((L(y,z,u) * L(y \ 1,z,u)) * w) = (x \ w) * (L(y,z,u) * L(y \ 1,z,u)). T(L(x,y,z) * L(x \ 1,u,w),v5 * ((x \ L(x,y,z)) * (x \ L(x,u,w)))) = L(x,y,z) * L(x \ 1,u,w). (K(x,y) * x) * (L(z,u,w) * L(z \ 1,v5,v6)) = T(x * (L(z,u,w) * L(z \ 1,v5,v6)),y). x \ ((x * (y * L(y,z,u))) / y) = L(x \ (x / (y \ 1)),z,u). K(x,(y * z) / u) = K(x,y * (z / u)). x \ R(a(y,z,u),x,x) = a(y,z,u) * (x \ 1). (L(x,y,y) * (a(y,y,x) \ z)) \ (x * (a(y,y,x) \ z)) = L(a(y,y,x),L(x,y,y),z). (1 / x) * (a(y,z,u) * x) = L(a(y,z,u),x,x). L(a(x,y,z),u,x) = a(x,y,z). L(a(x,y,z),u,w \ ((v5 \ 1) \ v6)) = R(a(x,y,z),u,w \ (v5 \ v6)). L(a(x,y,z),u,(w \ 1) * v5) = R(a(x,y,z),u,v5 * w). L(a(x,y,z),u,L(w \ 1,v5,v6)) = R(a(x,y,z),u,L(w,v5,v6)). L(a(x,y,z),u,w * (v5 \ 1)) = R(a(x,y,z),u,w * v5). L(a(x,y,z),u,w \ 1) = R(a(x,y,z),u,w). L(a(x,y,z),u,w * (v5 * v5)) = R(a(x,y,z),u,w). L(a(x,y,z),u,w) * (u * w) = (u * a(x,y,z)) * w. (a(x,y,z) * u) \ L(a(x,y,z),u,u) = u \ 1. L(a(x,y,z),a(x,y,z) \ u,w) \ (u * w) = (a(x,y,z) \ u) * w. L(a(x,y,z),u,(a(x,y,z) * u) \ w) \ w = u * ((a(x,y,z) * u) \ w). L(a(x,y,z),u,u) / (u \ 1) = u * a(x,y,z). L(a(x,y,z),u,w) \ L(L(a(x,y,z),v5,v5),u,w) = a(L(a(x,y,z),u,w),v5,v5). L(a(x,y,z) \ L(a(x,y,z),u,w),a(x,y,z),w * u) = a(a(x,y,z),u,w). (x \ L(x,y,z)) * L(a(u,w,v5),x,L(x,y,z)) = (a(u,w,v5) * L(x,y,z)) * T(1 / x,L(x,y,z)). L(a(x,y,z),u \ 1,(a(x,y,z) * u) \ w) \ w = (u \ 1) * ((a(x,y,z) * (u \ 1)) \ w). (L(x,y,z) \ 1) * ((x \ 1) \ u) = (u / x) * (L(1 / x,y,z) \ 1). L(x,x,L(y,z,u) \ y) = L(x,x,y \ L(y,z,u)). R((x \ ((x / y) * L(y,z,u))) \ 1,w,v5) = L((x \ ((x / y) * L(y,z,u))) \ 1,w,v5). R(x,y * (K(z,u) * (w * w)),a(v5,v6,v7)) = ((a(v5,v6,v7) \ 1) * (x * y)) / (y * (a(v5,v6,v7) \ 1)). R(T(x,a(y,z,u) * w),w,L(a(y,z,u),v5,v6)) = L(T(x,w),w,L(a(y,z,u),v5,v6)). L(x,x,L(y,z,u) * w) * (L(y,z,u) * w) = (L(y,z,u) * w) / (T(x,y * w) \ 1). T(x / (L(y,z,u) \ w),y \ w) = (L(y,z,u) \ w) \ x. T(x,L(L(y,z,u),w,v5) \ v6) = T(x,y \ v6). T(x,(y * (z * u)) \ ((y * z) * w)) = T(x,u \ w). T(x * (L(y \ x,z,u) \ 1),(x / y) \ x) = x * (L(y \ x,z,u) \ 1). (L(x,y,z) \ u) * T(w,x \ u) = w * (L(x,y,z) \ u). T(x,(L(y,z,u) \ y) * w) = T(x,w). (x * ((L(y,z,u) \ y) * w)) / ((L(y,z,u) \ y) * T(x,w)) = R(w,L(y,z,u) \ y,T(x,w)). R(a(x,y,z) / u,L(u,w,v5),u \ a(x,y,z)) = T(a(x,y,z) / u,L(u,w,v5)). R(T(x,y),y,L(a(z,u,w),v5,v6)) = L(T(x,y),y,L(a(z,u,w),v5,v6)). T(x / (L(a(y,z,u),w,v5) \ v6),v6) = (L(a(y,z,u),w,v5) \ v6) \ x. x / (L(y,z,u) \ (a(w,v5,v6) \ y)) = (L(y,z,u) \ (a(w,v5,v6) \ y)) \ x. (x / (L(y,z,u) \ w)) * (y \ w) = (y \ w) * ((L(y,z,u) \ w) \ x). T(x,(y * (z * u)) \ w) = T(x,u \ ((y * z) \ w)). T(x * (L(y \ x,z,u) \ 1),y) = x * (L(y \ x,z,u) \ 1). (L(x,y,z) \ u) * ((x \ u) \ w) = (w / (x \ u)) * (L(x,y,z) \ u). T(x / ((L(y,z,u) \ y) * w),w) = ((L(y,z,u) \ y) * w) \ x. 1 / T((L(x,y,z) \ x) \ (1 / u),u) = ((L(x,y,z) \ x) \ (1 / u)) \ 1. (x * ((L(y,z,u) \ y) * w)) / T((L(y,z,u) \ y) * x,w) = R(w,L(y,z,u) \ y,T(x,w)). ((L(x,y,z) \ (a(u,w,v5) \ x)) \ v6) \ v6 = L(x,y,z) \ (a(u,w,v5) \ x). L(L(x,y,z) \ x,x \ 1,L(x,y,z) \ u) \ u = (u / (L(x,y,z) \ 1)) * (x \ 1). T(x,(y * z) \ (u \ w)) = T(x,z \ ((u * y) \ w)). L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1) = L(x,u,w) * (L(x \ L(x,u,w),y,z) \ 1). T(x,y \ ((z * u) \ w)) = T(x,y \ (u \ (z \ w))). L(L(x,y,z) \ x,x,L(x,y,z) \ u) \ u = (u / (L(x,y,z) \ 1)) * (x \ 1). ((L(x,y,z) \ x) * (u * w)) / ((L(x,y,z) \ x) * w) = L(u,w,L(x,y,z) \ x). 1 / ((L(x,y,z) \ x) \ (u \ 1)) = ((L(x,y,z) \ x) \ (1 / u)) \ 1. (x / (L(y,z,u) \ 1)) * (y \ 1) = y * ((L(1 / y,z,u) \ 1) \ x). (x * ((L(1 / x,y,z) \ 1) \ u)) / (x \ 1) = u / (L(x,y,z) \ 1). a(x,y,a(x,z,u)) = 1. ((L(x,y,z) \ x) * u) * a(u,w,v5) = u * (a(u,w,v5) * (L(x,y,z) \ x)). L(L(a(x,y,z),u,w),v5,x) = L(a(x,y,z),u,w). (x * y) * L(a(x,z,u),w,v5) = x * (y * L(a(x,z,u),w,v5)). (x \ L(x,y,z)) * a(x,u,w) = L(x,y,z) * (x \ a(x,u,w)). a(x,y,z) \ L(L(a(x,y,z),u,w),v5,x) = L(a(x,y,z) \ L(a(x,y,z),u,w),v5,x). a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u). a(x,y,a(x,z,u)) = w \ w. a(x,x,L(y,x,x)) = a(x,x,y). a(x,x,x \ y) = a(x,x,x * y). a(x,x,y) \ L(y,x,x) = L(L(y,x,x),x,x). a(x,x,x \ y) = a(x,x,y * x). L(a(x,x,x \ y),z,x * (x \ y)) = a(x,x,y * x). a(a(x \ y,x,x),z,u) = a(a(x,x,y * x),z,u). (x * (y \ L(y,z,u))) \ ((x * w) * (y \ L(y,z,u))) = R(w,x,y * L(y,z,u)). R(x,y \ L(y,z,u),T(w,x)) = L(x,y \ L(y,z,u),w). (x * (L(x,y,z) \ (L(x,y,z) \ x))) \ u = u * (L(x,y,z) * L(x \ 1,y,z)). L(x * ((L(x,y,z) \ x) * (L(x,y,z) \ x)),y,z) = (L(x,y,z) \ x) * x. T(x * (y * L(y \ (x \ z),u,w)),v5) \ T(z,v5) = (x * y) \ (L(z / (x * y),u,w) \ z). (x \ a(y,x \ 1,x)) * x = a(y * (1 / x),x,x). (x * (L(y,z,u) \ y)) \ ((x / y) * (L(1 / y,z,u) \ 1)) = x \ ((y \ L(y,z,u)) \ ((x / y) * L(y,z,u))). a(x,y,L(L(L(z,u,w) \ z,z,v5) * v5,v6,v7)) = a(x,y,L((z \ v5) * L(z \ 1,u,w),v6,v7)). a(x,y,z * (L(L(u,w,v5) \ u,u,v6) * v6)) = a(x,y,z * ((u \ v6) * L(u \ 1,w,v5))). a(x,y,L(z \ L(z,u,w),z,w * u)) = a(x,y,a(z,u,w)). a(x,y,a(z \ K(u,z \ 1),u,w)) = a(x,y,a(z,u,w)). a(x,y,(z * u) \ ((R(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(R(u,w,w) \ w,u,z)). R(x,L(y,z,u) \ y,T(w,x)) = L(K(w,L(y,z,u) \ y) * x,L(y,z,u) \ y,w). L(x,((y \ 1) * (z * y)) * u,w) = L(x,u * R(z,y \ 1,y),w). (x \ L(x,y,z)) \ (L(x,u,w) \ (((x \ L(x,y,z)) * (x \ L(x,y,z))) * v5)) = L(x,u,w) \ (v5 / (L(x,y,z) \ x)). (x \ (y \ L(y,z,u))) \ (y \ L(y,z,u)) = (x \ 1) \ 1. x * (a(x,y,z) * (y * z)) = (x * y) * z. x \ ((x * y) * z) = a(x,y,z) * (y * z). (x * y) \ (x * (a(x,y,y) * (y * z))) = L(z,y,x) * a(x,y,y). L(x,a(y,z,u),w) * (a(y,z,u) * w) = (x * a(y,z,u)) * w. (x * y) / (y * a(z,u,w)) = (a(z,u,w) * y) \ (y * x). (a(x,y,z) * u) \ (u * (a(x,y,z) * w)) = R(w,a(x,y,z),u). (a(x,y,z) * u) * R(w,a(x,y,z),u) = u * (w * a(x,y,z)). (((x * y) / (a(z,u,w) * y)) * (a(z,u,w) * y)) \ (a(z,u,w) * y) = (y * x) \ T(a(z,u,w) * y,(a(z,u,w) * y) \ (y * x)). T((x * y) / ((a(z,u,w) * y) \ (y * x)),x * y) = L(a(z,u,w) * y,(a(z,u,w) * y) \ (x * y),a(z,u,w) * y). T(T(x * K(x * (y \ z),x),u),y \ z) = R(T(x,u),y \ (a(w,v5,v6) \ z),x). x * (L(x,y,z) \ (z * y)) = z * (y * a(z,y,x)). x * ((y * z) * a(x,z,y)) = (x * z) * T(y,z). x * (y * a(x,z,z \ y)) = (x * z) * (z \ y). x \ ((x * y) * T(z,y)) = (z * y) * a(x,y,z). (a(x,y,z) * x) \ (x * (u * a(x,y,z))) = L(u,x,a(x,y,z)). L(a(L(x,y,z),u,w),v5,x) = a(L(x,y,z),u,w). R(x,y,z) \ (u * a(x,w,v5)) = (R(x,y,z) \ u) * a(x,w,v5). (a(x,y,z) * R(x,u,w)) \ (R(x,u,w) * (v5 * a(x,y,z))) = L(v5,L(x,u,w),a(x,y,z)). a(x,y,z) * (R(x,u,w) \ (a(x,y,z) \ v5)) = R(x,u,w) \ v5. L(x,a(y,z,z * y),a(z,z,y)) / (y * (z * ((y * z) \ 1))) = x * a(y,z,(z * y) \ 1). L(x,x,a(y,z,u)) \ a(y,z,u) = a(y,z,u) * (x \ 1). (a(x,x,y) \ z) \ (y * (L(y,x,x) \ (a(x,x,y) \ z))) = L(a(x,x,y),L(y,x,x),z). L(a(x,y,z),u,w \ ((v5 \ 1) \ v6)) = L(a(x,y,z),u,w \ (v5 \ v6)). L(a(x,y,z),u,(w \ 1) * v5) = L(a(x,y,z),u,v5 * w). L(a(x,y,z),u,L(w \ 1,v5,v6)) = L(a(x,y,z),u,L(w,v5,v6)). L(a(x,y,z),u,w * (v5 \ 1)) = L(a(x,y,z),u,w * v5). L(a(x,y,z),u,w \ 1) = L(a(x,y,z),u,w). L(a(x,y,z),u,w * (v5 * v5)) = L(a(x,y,z),u,w). x * (y * L(a(z,u,x),x,y)) = (x * a(z,u,x)) * y. L(x \ 1,a(y,z,u),x) = x \ 1. L(x \ ((1 / x) \ a(y,z,u)),x,x) = a(y,z,u). a(x,x,L(a(y,z,u),w,v5)) \ 1 = a(L(a(y,z,u),w,v5),x,x). (x \ L(x,y,z)) * L(a(u,w,v5),x,L(x,y,z)) = (a(u,w,v5) * L(x,y,z)) * (x \ 1). L(a(x,y,z) \ 1,u,x) = a(x,y,z) \ 1. ((a(x,y,z) \ 1) * x) \ (x * (u * (a(x,y,z) \ 1))) = L(u,x,a(x,y,z) \ 1). (x * (y * a(x,z,u))) \ ((a(x,z,u) * x) * y) = a(a(x,z,u),x,y). (x \ R(x,y,z)) * a(x,u,w) = R(x,y,z) * (x \ a(x,u,w)). (x \ a(x,y,z)) * L(u,a(x,y,z),x \ 1) = (x \ 1) * (a(x,y,z) * u). (L(x,y,z) \ x) * a(x,u,w) = x * (L(x,y,z) \ a(x,u,w)). L(a(x,y,z),u,w) * (x * v5) = x * (v5 * L(a(x,y,z),u,w)). ((x * y) \ (x * (y * z))) * L(((x * y) \ (x * (y * z))) \ z,u,w) = (x * y) \ (x * ((y * z) * L(a(x,y,z),u,w))). (x * (y * z)) / z = x * (a(x,y,z) \ y). (x * (a(x,y,z) \ y)) * z = x * (y * z). a(x,y,z) \ y = x \ ((x * (y * z)) / z). a(x,y,z) \ (x \ u) = x \ (a(x,y,z) \ u). x * (y * (a(y,z,x) \ z)) = L(x,z,y) * (y * z). L(a(x,y,z) \ L(a(x,y,z),u,w),v5,x) = a(x,y,z) \ L(a(x,y,z),u,w). a(x,x,y) \ (a(x,x,y) \ 1) = y \ L(L(y,x,x),x,x). (a(x,x,y) * a(x,x,y)) \ z = z * (y \ L(L(y,x,x),x,x)). (x \ y) \ (x \ (x \ y)) = y \ (T(y,x) / x). a(x,y,(z * (L(1 / (u * w),v5,v6) \ 1)) * v7) = a(x,y,v7 * (z * L((w \ 1) * u,v5,v6))). a(x,y,L(z * (u \ 1),w,v5) * v6) = a(x,y,L(z * u,w,v5) * v6). a(x,y,z \ (u * ((w * (v5 \ 1)) * v6))) = a(x,y,z \ (u * (v6 * (w * v5)))). a(x,y,a(z,(u * u) \ w,v5)) = a(x,y,(z * (v5 * w)) \ (v5 * (z * w))). a(x,y,L(z,u * (w * u),v5)) = a(x,y,L(z,L(w,u,u),v5)). a(x,y,L(z,(u \ 1) * w,v5)) = a(x,y,L(z,u * w,v5)). a(x,y,L(z,u \ L(u,w,v5),v6)) = a(x,y,L(z,u * L(u,w,v5),v6)). a(x,y,L(a(z,u,u),w,v5)) = a(x,y,a(u,u,L(z,w,v5))). x / (L(y,z,u) * L(y \ 1,z,u)) = (L(y,z,u) * L(y \ 1,z,u)) \ x. T(x,y) * (L(z,u,w) * L(z \ 1,v5,v6)) = T(x * (L(z,u,w) * L(z \ 1,v5,v6)),y). T(L(x,y,z) * L(x \ 1,u,w),v5) = L(x,y,z) * L(x \ 1,u,w). K(x,y / (z / u)) = K(x,y * (u / z)). (x / (y \ 1)) * (L(y,z,u) \ 1) = (x / y) * (L(1 / y,z,u) \ 1). (x / (1 / L(y,z,u))) * (1 / y) = y * ((L(1 / y,z,u) \ 1) \ x). R(x,y * (K(z,u) * (w * w)),a(v5,v6,v7)) = R(x,y,a(v5,v6,v7)). R(a(x,y,z) / x,L(x,u,w),x * a(x,y,z)) = T(a(x,y,z) / x,L(x,u,w)). R(x,y,z * L(z,u,w)) = L(x,y,z \ L(z,u,w)). R(x,y \ L(y,z,u),w) = L(x,y \ L(y,z,u),w). (x * a(y,z,u)) * L(x \ 1,w,v5) = x * (a(y,z,u) * L(x \ 1,w,v5)). (x \ 1) * (L(L(x,y,z) \ x,x \ 1,u) * u) = ((x \ 1) * (L(x \ 1,y,z) \ (x \ 1))) * u. x * ((L(x,y,z) \ 1) * ((x \ 1) \ u)) = (x * (L(x,y,z) \ x)) * u. L((L(x * K(y,z),u,w) \ L(L(x,v5,v6),u,w)) * K(y,z),L(x * K(y,z),u,w),v7) \ v7 = L(x,u,w) * (K(y,z) * (L(L(x * K(y,z),u,w),v5,v6) \ v7)). L(L((x \ 1) \ L(x \ 1,y,z),u,w),L(x \ K(v5,v6),u,w),v7) \ v7 = L(x \ 1,u,w) * (L(L(x \ 1,u,w),y,z) \ v7). L(((L(x,y,z) \ x) * (L(x,y,z) \ x)) \ u,w,v5) = L(u,w,v5) * (L(x,y,z) * L(x \ 1,y,z)). L(x / (L(x,y,z) * L(x \ 1,y,z)),y,z) = (L(x,y,z) \ x) * x. T((x * y) * ((x / (y \ 1)) \ 1),x * y) = L(a(x,y,y),(y \ 1) \ x,y \ x). (x \ a(y,x \ 1,x)) * x = a(x \ y,x,x). x * ((L(R(x,y,z),u,w) * (R(T(x,v5),y,z) \ T(x,v5))) \ x) = L(x \ L(x,u,w),y,z) \ x. L(1 / a(x,y,z),z,z \ u) = 1 / (L(a(x,y,z) \ 1,z,u) \ 1). a(x,y,L(L(L(z,u,w) \ z,z,v5) * v5,v6,v7)) = a(x,y,L((z \ v5) * L(z,u,w),v6,v7)). a(x,y,z * (L(L(u,w,v5) \ u,u,v6) * v6)) = a(x,y,z * ((u \ v6) * L(u,w,v5))). a(x,y,z \ (u \ (w \ (u * (z * w))))) = a(x,y,a(w,z,u)). a(x,y,a(z \ 1,u,w)) = a(x,y,a(z,u,w)). a(x,y,(z * u) \ ((R(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(L(u,w,w) \ w,u,z)). R(x,L(y,z,u) \ y,T(w,x)) = L(1 * x,L(y,z,u) \ y,w). a(x,x \ y,z) * ((x \ y) * z) = x \ (y * z). x * (y * (y * a(x,y,y))) = (x * y) * y. (((x * y) * z) / (y * z)) \ (x * a(x,y,z)) = a(x,a(x,y,z),y * z). x * (a(x,x,y) * y) = x \ ((x * x) * y). x \ ((x * a(y,z,u)) * w) = w * (a(x,a(y,z,u),w) * a(y,z,u)). (x \ ((x * y) * z)) / z = a(x,y,z) * y. x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ x). (x * y) \ (z \ ((z * x) * y)) = a(z,x,y). L(a(x,y,z) \ u,a(x,y,z),y * z) = (x \ ((x * y) * z)) \ ((y * z) * u). x \ ((x * L(y,y,z)) * a(z,y,y)) = a(x,L(y,y,z),a(z,y,y)) * y. (x * L(y,z,x)) * a(z,x,L(y,z,x)) = z \ (x * (T(z,x) * y)). ((x \ y) * z) * a(x,x \ y,z) = x \ (y * z). ((x \ 1) * y) * a(x,x \ 1,y) = x \ y. (x * y) * a(x,x,y) = R(x,x,y) * y. (x * L(y,x,z)) * a(z,x,L(y,x,z)) = x * y. L(T(x,(y * z) * a(x,y,z)),(y * z) * a(x,y,z),u) = (u * ((y * z) * a(x,y,z))) \ (u * ((x * y) * z)). x * (a(y,z,u) * (w * a(x,w,a(y,z,u)))) = (x * w) * a(y,z,u). a(x,y,z * ((u * (w \ v5)) * ((v6 * v7) * a(u * (v5 / w),v6,v7)))) = a(x,y,z * (((u * (v5 / w)) * v6) * v7)). x \ ((x * y) * a(z,u,w)) = a(z,u,w) * (y * a(x,y,a(z,u,w))). x \ (y \ ((y * a(z,u,w)) * x)) = a(z,u,w) * a(y,a(z,u,w),x). (x / y) \ (x * z) = (y * z) * a(y \ x,y,z). (x * y) \ ((z / x) \ (z * y)) = a(x \ z,x,y). a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z). L(x,a(y,z,u),y) = L(x,y,a(y,z,u)). a(a(x,y,z),x,u) = a(x,a(x,y,z),u). (x * (a(x,y,z) \ y)) * (z \ 1) = x * (y * (z \ 1)). R((x * (a(x,y,z) \ y)) / u,u,z) = (x * (y * z)) / (u * z). (x * (a(x,T(y,x),z) \ T(y,x))) * z = (y * x) * L(z,y,x). L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = (a(z,u,w) * x) \ (x * (y * a(z,u,w))). a(x,y,L(a(z,u,w) \ u,z,w)) = a(x,y,(w * z) \ (z * (u * w))). L(a(x,y,L(a(z,u,w),v5,v6)) \ y,x,L(a(z,u,w),v5,v6)) = (x * L(a(z,u,w),v5,v6)) \ (x * (y * L(a(z,u,w),v5,v6))). L(x,(y * (a(y,z,(u * u) \ u) \ z)) * (u \ 1),w) = L(x,y * (z * ((u * u) \ u)),w). a(x,L(a(y,z,u) \ z,y,u),w) = a(x,(u * y) \ (y * (z * u)),w). L(x,L(a(y,z,u) \ z,y,u),w) = L(x,(y * u) \ (y * (z * u)),w). L(a(x,y,z) \ 1,a(x,y,z),y) = y \ (x \ ((x * (y * z)) / z)). R(x,y,z) \ (((x * y) * z) / z) = a(R(x,y,z),y,z) \ y. (x \ (y \ ((y * (x * z)) / z))) * x = a(y,x,z) \ x. (x \ (y \ ((y * (x * z)) / z))) \ x = x * a(y,x,z). a(x,y,L(a(z,u,w),a(z,u,w),u)) = a(x,y,u \ (z \ ((z * (u * w)) / w))). K(x,y) * ((z / T(y,x)) \ (a(z / y,u,w) \ v5)) = a(z / y,u,w) \ ((z / y) \ v5). x \ (a(x,x \ 1,x \ y) \ y) = L(x \ y,x \ 1,x). a(x,y,z \ (u \ (w \ (a(w,v5,v6) \ 1)))) = a(x,y,z \ (u \ (a(w,v5,v6) \ w))). (x * y) \ (L(x,z,y) * (y * z)) = L(a(y,z,x) \ z,y,x). a(x,y,(L(z,u,w) * v5) * (v6 * (a(v6,v7,R(z,u,w) * v5) \ v7))) = a(x,y,L(R(z,u,w) * v5,v7,v6) * (v6 * v7)). ((x \ y) * z) \ (x \ (y * z)) = a(x,x \ y,z). a(x,y,z) \ (a(u,u \ w,a(x,y,z) \ 1) * ((u \ w) * a(x,y,z))) = (a(x,y,z) \ 1) \ (u \ (w * (a(x,y,z) \ 1))). (a(x,x \ y,z / u) * ((x \ y) * (u \ z))) / (u \ z) = (x \ (y * (z / u))) / (z / u). a(x,x,a(y,z,u)) * ((x \ 1) * a(y,z,u)) = x \ (1 * a(y,z,u)). x * (y * a(x,x,x * y)) = (x * x) * (x \ y). L(x * a(y,x,x),x,y) = x. R(x,y,z) \ (x * a(x,y,z)) = a(x,a(x,y,z),y * z). (x * y) \ (x * (y * (z * a(x,y,y)))) = L(z,y,x) * a(x,y,y). a(x,y,(z \ ((z * z) * u)) * w) = a(x,y,(z * L(u,z,z)) * w). x \ (y \ ((y * a(z,u,w)) * v5)) = x \ (v5 * (a(y,a(z,u,w),v5) * a(z,u,w))). x \ ((y \ 1) \ (((y \ 1) * y) * (y \ x))) = L(y \ x,y,y \ 1) \ (y \ x). a(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = w \ ((a(x,y,z) \ u) \ (u * (a(x,y,z) \ w))). a(x,y,z \ (u \ ((w \ z) * (u * w)))) = a(x,y,a(u,w,w \ z)). a(x,y,L(z,y,x)) = y \ (z * (L(z,y,x) \ y)). (x * y) \ ((1 / x) \ y) = a(x \ 1,x,y). (x * y) * a(x \ 1,x,y) = (1 / x) \ y. ((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y). (x * L(L(x,y,z),u,w)) \ (v5 \ ((v5 * L(L(x,u,w),y,z)) * x)) = a(v5,L(L(x,u,w),y,z),x). (x * y) \ ((z * (1 / x)) \ (R(z,x \ 1,x) * y)) = a(z * (1 / x),x,y). (x * a(x,y,z)) \ ((y * z) \ ((y * z) * R(x,y,z))) = a(y * z,x,a(x,y,z)). a(x,y,z \ (u \ ((u * (w \ 1)) * (w \ z)))) = a(x,y,a(u,w \ 1,w \ z)). ((a(x,y,z) \ y) * z) \ (x \ (x * (y * z))) = a(x,a(x,y,z) \ y,z). L(a(x,y,z) \ u,a(x,y,z),z * y) = (x \ ((x * y) * z)) \ ((y * z) * u). x \ (a(y,z,z) * (x * L(z,z,y))) = a(x,L(z,z,y),a(y,z,z)) * z. R((x * (a(x,y,z) \ y)) / u,u,z) = (x * (y * (z \ 1))) / (u * (z \ 1)). L(x,L(a(y,z,u) \ z,y,u \ 1),w) = L(x,(y * (u \ 1)) \ (y * (z * (u \ 1))),w). (L(a(x,y,z) \ 1,u,w) * w) * a(u,w,L(a(x,y,z) \ 1,u,w)) = u \ (w * (T(u,w) * (a(x,y,z) \ 1))). ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) = a(x,x \ L(x,y,z),u). ((x \ K(y,z)) * (u * L(u \ K(z,y),w,v5))) * a(x,x \ K(y,z),u * L(u \ K(z,y),w,v5)) = x \ (u * L(u \ 1,w,v5)). (((x * y) \ L(x * y,z,u)) * w) * a((y \ 1) * x,((y \ 1) * x) \ L((y \ 1) * x,z,u),w) = ((y \ 1) * x) \ (L((y \ 1) * x,z,u) * w). a(x,x \ 1,(x \ 1) \ y) * y = x \ ((x \ 1) \ y). x \ (R(x,x,y) * y) = y * a(x,x,y). (x * ((y * z) * a(u,y,z))) \ (x * ((u * y) * z)) = L(T(u,y * z),(y * z) * a(u,y,z),x). a(x,y,z * ((u * (w \ v5)) * ((v6 * v7) * a(u * (w \ v5),v6,v7)))) = a(x,y,z * (((u * (v5 / w)) * v6) * v7)). a(x,y,z) * (z * a(y,z,a(x,y,z))) = y \ (x \ ((x * y) * z)). a(x,y,z) * (x * a(z * y,x,a(x,y,z))) = R(x,y,z). a(x,y,z) * (x * a(y * z,x,a(x,y,z))) = R(x,y,z). (x * (y \ z)) * a(y,y \ z,x) = y \ (z * T(x,y \ z)). (x * y) \ (z \ ((z * y) * T(x,y))) = a(z,y,x). x * (y * (z * a(x,z,y))) = (x * z) * T(y,z). x \ (y \ ((y * z) * T(x,z))) = z * a(y,z,x). L(a(x,y,z) \ 1,a(x,y,z),z * y) = (x \ ((x * y) * T(z,y))) \ (z * y). x \ (y \ ((y * x) * a(z,u,x))) = a(y,x,a(z,u,x)) * a(z,u,x). x \ (y \ ((y * x) * a(z,u,x))) = a(z,u,x) * a(y,x,a(z,u,x)). (x / y) \ (x * (1 / y)) = K(y,y \ 1) * a(y \ x,y,1 / y). (x * (y \ z)) * a(x \ y,x,y \ z) = (y / x) \ z. (x * (y \ z)) \ ((y / x) \ z) = a(x \ y,x,y \ z). (L(x,y,y) * a(y,y,x)) * (((L(x,y,y) \ z) * x) \ (a(y,y,x) * ((L(x,y,y) \ z) * L(x,y,y)))) = (z / L(x,y,y)) \ (z * a(y,y,x)). a(x,y,(z * u) \ (((u \ w) / z) \ w)) = a(x,y,a(z \ (u \ w),z,u)). a(x,y,L(z,y,x)) = (L(z,y,x) * y) \ (z * y). (x * L(x \ L(x,y,z),x,z * y)) \ (x * (x \ L(x,y,z))) = a(z * y,x,a(x,y,z)). (L(x,y,z) * L(u,L(x,y,z),x)) \ (L(x,y,z) * u) = a(x,L(x,y,z),L(u,x,L(x,y,z))). (x * L(R(y,z,u),x,L(y,w,v5))) \ (x * R(y,z,u)) = a(L(y,w,v5),x,L(R(y,z,u),x,y)). a(x,y,L(z,y,x)) * y = z * (L(z,y,x) \ y). L(L(x,y,z) \ x,x,a(x,u,w)) = L(x,y,z) \ x. L(x,a(y,a(z,u,y),w),a(z,u,y)) = L(x,a(z,u,y),a(a(z,u,y),y,w)). R(x,x,y) * L(z,x,a(x,x,y)) = x * (a(x,x,y) * z). a(a(x,x,y),y,z) = a(y,a(y,x,x),z). L(x,a(y,a(y,z,u),w),a(y,z,u)) = L(x,a(y,z,u),a(a(y,z,u),y,w)). L(a(x,y,z),u,w) * (x * v5) = x * (L(a(x,y,z),u,w) * v5). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ x,u,w) = (z * y) \ (z * ((y * x) * L(a(z,y,x),u,w))). a(x,x,L(y,z,x)) = a(x,x,y). (x * y) * (a(x,z,u) \ L(a(x,z,u),w,v5)) = x * (y * (a(x,z,u) \ L(a(x,z,u),w,v5))). (x * y) \ (a(z,u,w) \ (x * (y * a(z,u,w)))) = a(a(z,u,w),y,x). (x * y) \ ((z \ L(z,u,w)) \ (x * (y * (z \ L(z,u,w))))) = a(z \ L(z,u,w),y,x). (x * y) \ ((x * z) * T(y,z)) = L(z * a(x,z,y),y,x). a(x,y,z \ (u \ ((u * w) * z))) = a(x,y,w * a(u,w,z)). L(a(x,y,z),u,w) \ (x * v5) = x * (L(a(x,y,z),u,w) \ v5). (x * y) \ (x * ((y * z) * L(a(x,y,z),u,w))) = L(z,y,x) * L(L(z,y,x) \ z,u,w). (x * (a(x,y,z) \ T(y,x))) * z = (y * x) * L(z,y,x). L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = L(y,a(z,u,w),x). a(x,y,L(a(z,u,w) \ u,z,w)) = a(x,y,L(u,w,z)). L(x,(y * (a(y,z,(u * u) \ u) \ z)) * (u \ 1),w) = L(x,y * L(u \ z,u,u),w). L(a(x,y,L(a(z,u,w),v5,v6)) \ y,x,L(a(z,u,w),v5,v6)) = L(T(y,L(a(z,u,w),v5,v6)),L(a(z,u,w),v5,v6),x). a(x,L(a(y,z,u) \ z,y,u),w) = a(x,L(z,u,y),w). L(x,L(a(y,z,u) \ z,y,u),w) = L(x,L(T(z,u),u,y),w). L(x,y,z) \ (u \ ((u * (L(x,y,z) * x)) / x)) = a(u,L(x,y,z),x) \ 1. R(x,y,L(a(z,u,w),a(z,u,w),u)) = R(x,y,u \ (z \ ((z * (u * w)) / w))). x \ (y \ ((L(L(z,u,w) \ z,x,y) * (y * x)) / (L(z,u,w) \ z))) = L(a(y,x,L(z,u,w) \ z) \ 1,a(y,x,L(z,u,w) \ z),x). a(x,y,z * L(a(u \ 1,w,v5) \ 1,a(u \ 1,w,v5),w)) = a(x,y,z * (w \ (u \ (((u \ 1) * (w * v5)) / v5)))). R(x,y,z) \ (((x * y) * z) / z) = a(L(x,y,z),y,z) \ y. a(x,y,L(a(z,u,w),a(z,u,w),u)) = a(x,y,u \ (z \ (w \ (z * (u * w))))). K(x,y) * ((z / T(y,x)) \ (a(z / y,u,w) \ v5)) = a(y \ z,u,w) \ ((z / y) \ v5). a(x,x \ 1,x \ y) \ y = (x \ 1) * (x * y). a(x,y,z \ (u \ (a(w,v5,v6) \ w))) = a(x,y,z \ (u \ (w \ a(w,v5,v6)))). (a(x,y,z) * u) \ (L(u,w,a(x,y,z)) * (a(x,y,z) * w)) = L(a(a(x,y,z),w,u) \ w,a(x,y,z),u). (x * (y \ R(y,z,u))) \ (L(y \ R(y,z,u),w,x) * (x * w)) = L(a(x,w,y \ R(y,z,u)) \ w,x,y \ R(y,z,u)). L(a(x,y,z * K(x * y,z)) \ y,x,z * K(x * y,z)) = ((z * K(x * y,z)) * x) \ (((x * (y * z)) / (x * y)) * (x * y)). L(a(x,y,z \ L(z,u,w)) \ y,x,z \ L(z,u,w)) = ((z \ L(z,u,w)) * x) \ (x * (y * (z \ L(z,u,w)))). a(L(a(x,y,z) \ y,x,z),u,w) = a(L(y,z,x),u,w). a(x,x,L(y,z,x)) = x \ R(x,x,y). a(x * y,x * y,L(y,x,x)) = a(x * y,x * y,y). L(x,y,a(L(z,u,w),w,w)) = L(x,y,a(w,w,z)). (x * (y * (a(x,z,u) \ L(a(x,z,u),w,v5)))) \ ((x * y) * R(a(x,z,u) \ L(a(x,z,u),w,v5),y,x)) = a(a(x,z,u) \ L(a(x,z,u),w,v5),y,x). a(x,y,(z * (u \ w)) \ (u \ (w * z))) = a(x,y,a(u,u \ w,z)). a(x,y,((z * (u \ w)) \ (u \ (w * z))) * v5) = a(x,y,v5 * a(u,u \ w,z)). (a(x,x \ y,z \ u) * ((x \ y) * (z \ u))) / (z \ u) = (x \ (y * (u / z))) / (u / z). (x \ 1) * (a(x,x,a(y,z,u)) * a(y,z,u)) = x \ (1 * a(y,z,u)). a(x,y,z) \ (a(u,u \ w,a(x,y,z)) * ((u \ w) * a(x,y,z))) = (a(x,y,z) \ 1) \ (u \ (w * (a(x,y,z) \ 1))). L(x * a(y,x,x),z,x * a(y,x,x)) = L(x * a(y,x,x),z,x). (((x * a(y,x,x)) \ x) * (z * (x * a(y,x,x)))) / L(x * a(y,x,x),x,y) = L(z,x * a(y,x,x),(x * a(y,x,x)) \ L(x * a(y,x,x),x,y)). x * (R(x,y,z) \ a(x,y,z)) = a(x,a(x,y,z),y * z). x \ a(x,a(x,y,z),y * z) = R(x,y,z) \ a(x,y,z). L(x,y,z) * a(z,y,y) = L(x * a(z,y,y),y,z). (a(x,y,z) \ x) \ (x * (u * (a(x,y,z) \ 1))) = L(u,x,a(x,y,z) \ 1). R(x,x,L(y,z,x)) = R(x,x,y). a(x * y,x * y,x * (x * y)) = a(x * y,x * y,y). R(x,y,z) \ (u * a(x,w,v5)) = a(x,w,v5) * (R(x,y,z) \ u). (R(x,y,z) \ x) * a(x,u,w) = x * (R(x,y,z) \ a(x,u,w)). R(x,y,z) \ (a(x,u,w) * v5) = a(x,u,w) * (R(x,y,z) \ v5). a(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ a(x,y,z). L(x,L(y,z,u),a(y,w,v5)) = L(x,a(y,w,v5),R(y,z,u)). a(x,y,z) * (L(x,u,w) \ x) = x * (L(x,u,w) \ a(x,y,z)). (x \ ((x * y) * z)) / z = y * a(x,y,z). L(a(x,y \ 1,z),y,y) = y * ((x \ ((x * (y \ 1)) * z)) / z). x \ ((y \ ((y * x) * z)) / z) = a(y,x,z). a(x,y,z) \ ((x \ ((x * y) * z)) / z) = y. (x \ (y * (x * z))) / T(y,x * z) = a(x,z,y) * z. a(a(x,y,z),y,y) \ (1 / (((x \ ((x * y) * z)) / z) \ a(x,y,z))) = y. L(L(x,y,y),y,y) * (a(y,y,x) * a(y,y,x)) = x. a(x,x,a(y,z,u)) \ a(a(y,z,u),x,x) = a(y,z,u) \ L(L(a(y,z,u),x,x),x,x). a(x,y,L(L(z,z,L(u,w,z)),v5,v6)) = a(x,y,L(R(z,z,u),v5,v6)). L(a(x,x,y * x),z,x * (x \ y)) = a(x,x,y * x). L((x \ L(x,y,y)) \ z,a(x,y,y),L(y,y,x)) = y \ (R(y,y,x) * z). x * a(x,L(y,z,u) \ y,L(y,z,u) \ y) = L(x,L(y,z,u) \ y,L(y,z,u) \ y). L(a(x,x,y * x),z,y) = a(x,x,y * x). x * L(y,L(x,x,z),z \ L(z,x,x)) = (R(x,x,z) \ x) * (R(x,x,z) * y). x * a(x,L(y,z,u) \ y,y * L(y,z,u)) = L(x,L(y,z,u) \ y,L(y,z,u) \ y). a(L(x,y,z) \ x,u,w) = a(x \ L(x,y,z),u,w). x \ (y \ ((y * (x * (L(z,u,w) \ z))) / (L(z,u,w) \ z))) = a(z \ L(z,u,w),x,y). (a(x,y,z) * u) \ ((u * w) * T(a(x,y,z),w)) = L(w * a(u,w,a(x,y,z)),a(x,y,z),u). (x * (y \ L(y,z,u))) \ (((y \ L(y,z,u)) * w) * T(x,w)) = L(w * a(y \ L(y,z,u),w,x),x,y \ L(y,z,u)). L(x * a(y,x,L(z,u,w) \ z),L(z,u,w) \ z,y) = (y * (L(z,u,w) \ z)) \ ((y * x) * (L(z,u,w) \ z)). L(L(x,y,z) * a(u,L(x,y,z),w),w,u) = (u * w) \ ((u * L(x,y,z)) * T(w,x)). L(x,y,L(z * a(u,z,w),w,u)) = L(x,y,(u * w) \ ((u * z) * w)). a(L(x * a(y,x,z),z,y),u,w) = a((y * z) \ ((y * x) * z),u,w). L(x,L(y * a(z,y,u),u,z),w) = L(x,(z * u) \ ((z * y) * u),w). L(x * a(L(y,z,u) \ y,x,w),w,L(y,z,u) \ y) = ((L(y,z,u) \ y) * w) \ (w * (x * (L(y,z,u) \ y))). x \ ((y \ 1) \ (K(y \ 1,y) * (y \ x))) = L(y \ x,y,y \ 1) \ (y \ x). (L(a(x,y,z) \ 1,u,w) * w) * a(u,w,L(a(x,y,z),u,w)) = u \ (w * (T(u,w) * (a(x,y,z) \ 1))). a(x,x \ L(x,y,z),x \ u) = a(x,x \ L(x,y,z),u). ((x \ 1) * (y * L(y \ 1,z,u))) * a(x,x \ K(w,v5),y * L(y \ K(v5,w),z,u)) = x \ (y * L(y \ 1,z,u)). a(x,y,(z * (u \ 1)) \ (u \ z)) = a(x,y,a(u,u \ 1,z)). a(x,y,(z \ u) * (u * z)) = a(x,y,a(z,z \ 1,u)). R(x,x,y) * (x \ y) = y * a(x,x,y). a(x,y,a(z,u,L(u \ w,u,z))) = a(x,y,u \ (L(u \ w,u,z) \ w)). a(x,y,L(z,y,x)) * (z \ y) = L(z,y,x) \ y. a(x,y,L(y \ z,y,x)) = y \ (L(z / y,y,x) \ z). (x * (y \ L(y,z,u))) \ ((1 / x) \ (y \ L(y,z,u))) = a(x \ 1,x,y * L(y,z,u)). (x * (y \ R(y,z,u))) * a(x \ 1,x,y * R(y,z,u)) = (1 / x) \ (y \ R(y,z,u)). R(x,y,(z * u) \ ((1 / u) \ z)) = R(x,y,a(u \ 1,u,z)). R(x,y,(y * x) \ ((1 / x) \ y)) \ ((1 / x) \ y) = y * a(x \ 1,x,y). a(x,y,z * ((u * w) \ (((1 / u) \ 1) \ w))) = a(x,y,z * a(u \ 1,u,w)). (x * L(L(x,y,z),u,w)) \ (v5 \ ((v5 * x) * L(L(x,y,z),u,w))) = a(v5,L(L(x,u,w),y,z),x). (x * y) \ ((z * (1 / x)) \ (R(z,x \ 1,x) * y)) = a(z * (x \ 1),x,y). (x * a(x,y,z)) \ R(x,y,z) = a(y * z,x,a(x,y,z)). a(x,y,z \ (u \ ((w \ z) * (u * w)))) = a(x,y,a(u,w \ 1,w \ z)). a(x,a(x,y,z) \ y,z) = ((a(x,y,z) \ y) * z) \ (y * z). (x * ((y * z) * a(u,y,z))) \ (x * ((u * y) * z)) = L(T(u,y * z),z * (y * a(u,y,z)),x). L(x,y * a(z,y,y),(y * a(z,y,y)) \ L(y * a(z,y,y),y,z)) = ((a(z,y,y) \ 1) * (x * (y * a(z,y,y)))) / L(y * a(z,y,y),y,z). a(x,y,L(L(z,z,L(u,w,z)),v5,v6)) = a(x,y,L(L(z,z,u),v5,v6)). a(x,y,z * (((u * (w / v5)) * v6) * v7)) = a(x,y,z * (((u * (v5 \ w)) * v6) * v7)). x * (a(y,x,a(z,y,x)) * a(z,y,x)) = y \ (z \ ((z * y) * x)). x * a(y * z,x,a(x,z,y)) = a(x,z,y) \ R(x,z,y). x * (a(x,y,z) * a(z * y,x,a(x,y,z))) = R(x,y,z). a(x,y,z) * a(z * y,x,a(x,y,z)) = x \ R(x,y,z). x * a(y * z,x,a(x,y,z)) = a(x,y,z) \ R(x,y,z). x * (a(x,y,z) * a(y * z,x,a(x,y,z))) = R(x,y,z). a(x * y,z,a(z,x,y)) * a(z,x,y) = z \ R(z,x,y). a(x,y,z) * a(y * z,x,a(x,y,z)) = x \ R(x,y,z). a(x,y,z \ (u \ (z * (u * w)))) = a(x,y,w * a(u,w,z)). (x / y) \ (x * (1 / y)) = K(y,y \ 1) * a(y \ x,y,y). (x * (L(y,z,u) \ y)) * a(x \ L(y,z,u),x,y * L(y,z,u)) = (L(y,z,u) / x) \ y. (x * (y \ R(y,z,u))) * a(x \ y,x,y * R(y,z,u)) = (y / x) \ R(y,z,u). x * (((L(x,y,y) \ z) * x) \ (a(y,y,x) * ((L(x,y,y) \ z) * L(x,y,y)))) = (z / L(x,y,y)) \ (z * a(y,y,x)). a(x,y,(z * u) \ ((z \ (u \ w)) \ w)) = a(x,y,a(z \ (u \ w),z,u)). a(x,y,L(z,y,x)) \ (z * y) = L(z,y,x) * y. (L(x,y,z) * L(u,x,L(x,y,z))) \ (L(x,y,z) * u) = a(x,L(x,y,z),L(u,x,L(x,y,z))). (x * L(R(y,z,u),x,L(y,w,v5))) \ (x * R(y,z,u)) = a(L(y,w,v5),x,L(L(y,z,u),x,y)). a(x,a(y,z,u),L(y,a(y,z,u),x)) = L(y,a(y,z,u),x) \ y. T(a(x,y,L(z,y,x)) * y,z) = L(z,y,x) \ (y * z). (x \ ((x * y) * T(z,y))) \ (z * y) = (x \ ((x * y) * z)) \ ((y * z) * 1). L(x,a(y,a(z,u,y),w),a(z,u,y)) = L(x,a(z,u,y),a(y,a(z,u,y),w)). x \ (a(y,z,z) * (x * L(z,z,y))) = a(x,a(z,z,y),L(z,z,y)) * z. L(x,a(y,a(y,z,u),w),a(y,z,u)) = L(x,a(y,z,u),a(y,a(y,z,u),w)). (x * y) \ (x * ((y * z) * a(x,y,z))) = L(z,y,x) * L(L(z,y,x) \ z,u,x). K(x,y) * ((z / T(y,x)) \ (a(y \ z,u,w) \ v5)) = a(y \ z,u,w) \ ((z / y) \ v5). (x * (y * (a(x,z,u) \ L(a(x,z,u),w,v5)))) \ ((x * y) * L(a(x,z,u) \ L(a(x,z,u),w,v5),y,x)) = a(a(x,z,u) \ L(a(x,z,u),w,v5),y,x). a(x,y,(z * (u \ (L(w,z,u) * u))) \ (z * R(T(w,u * z),u,z))) = a(x,y,a(u,u \ (L(w,z,u) * u),z)). (x \ (y * (z / u))) / (z / u) = (x \ (y * (u \ z))) / (u \ z). (a(x,y,z) \ 1) \ (u \ (w * (a(x,y,z) \ 1))) = a(x,y,z) \ (u \ (w * a(x,y,z))). L((a(x,y,z) \ 1) \ u,x,a(x,y,z) \ 1) = (a(x,y,z) \ x) \ (x * u). a(x,y,z) * (R(x,y,z) \ x) = a(x,a(x,y,z),y * z). a(x,y,z) * (R(x,u,w) \ x) = x * (R(x,u,w) \ a(x,y,z)). L(x \ y,x,a(x,z,z)) = a(x,z,z) * (R(x,z,z) \ y). a(x,y,z) * ((R(x,u,w) \ 1) * x) = (R(x,u,w) \ a(x,y,z)) * x. L(x,L(y,z,u),a(y,w,v5)) = L(x,a(y,w,v5),L(y,z,u)). L(L(x,y,y) * (a(y,y,x) * a(y,y,x)),y,y) = x. a(x,y,L(L(z,u,u),u,u)) = a(x,y,z). a(x,y,z) \ L(L(a(x,y,z),u,u),u,u) = a(a(x,y,z),u,u) * a(a(x,y,z),u,u). L(a(x,x,y) * (L(y,x,x) * a(x,x,y)),x,x) = y. a(x,y,L(L(z * u,w,v5),z,z)) = a(x,y,L(z \ u,w,v5)). a(x,y,L(z * (u \ 1),u,u)) = a(x,y,u \ z). a(L(x \ 1,x,x \ y) \ (x \ 1),z,u) = a((x \ 1) \ (y \ (y / x)),z,u). L(x * a(y,x,a(z,u,w)),a(z,u,w),y) = (a(z,u,w) * y) \ ((y * x) * a(z,u,w)). L(x * a(y \ L(y,z,u),x,w),w,y \ L(y,z,u)) = (w * (y \ L(y,z,u))) \ (w * (x * (y \ L(y,z,u)))). L(L(x \ L(x,y,z),u,w) * a(R(x,u,w),L(x \ L(x,y,z),u,w),v5),v5,R(x,u,w)) = (R(x,u,w) * v5) \ (L(R(x,u,w),y,z) * T(v5,x \ L(x,y,z))). L(x * a(y,x,L(z,u,w) \ z),L(z,u,w) \ z,y) = L(x,y,L(z,u,w) \ z). L(x,y,L(z * a(u,z,w),w,u)) = L(x,y,L(z,u,w)). a(L(x * a(y,x,z),z,y),u,w) = a(L(x,y,z),u,w). L(x,L(y * a(z,y,u),u,z),w) = L(x,L(y,z,u),w). L(x * a(L(y,z,u) \ y,x,w),w,L(y,z,u) \ y) = L(x,L(y,z,u) \ y,w). L(x \ y,x,x \ 1) \ (x \ y) = y \ ((x \ 1) \ (T(x,x \ 1) \ y)). (L(a(x,y,z) \ 1,u,w) * w) * a(u,w,L(a(x,y,z),u,w)) = u \ (w * T(u * (a(x,y,z) \ 1),w)). x \ ((y \ L(y,z,u)) \ ((x / y) * L(y,z,u))) = a(y,y \ L(y,z,u),x). (x \ L(x,y,z)) \ ((u / x) * L(x,y,z)) = u * a(x,x \ L(x,y,z),u). ((x \ 1) * (y * L(y \ 1,z,u))) * a(x,x,y * L(y \ 1,z,u)) = x \ (y * L(y \ 1,z,u)). a(x,y,a(z \ u,(z \ u) \ 1,u)) = a(x,y,(u * ((z \ u) \ 1)) \ z). a(x,y,(z \ u) \ ((1 / z) * u)) = a(x,y,a(z,z \ 1,u)). a(x,y,L(L(z,y,x),z,y)) = y \ (L((z \ y) / y,y,x) \ (z \ y)). (x * (y \ L(y,z,u))) \ ((y / x) \ L(y,z,u)) = a(x \ 1,x,y * L(y,z,u)). (x * (y \ R(y,z,u))) * a(x \ 1,x,y * L(y,z,u)) = (1 / x) \ (y \ R(y,z,u)). R(x,y,(z * u) \ ((1 / u) \ z)) = L(x,y,a(u \ 1,u,z)). a(x,y,z * ((u * w) \ (u \ w))) = a(x,y,z * a(u \ 1,u,w)). a(x,L(L(y,z,u),w,v5),y) = a(x,y,L(L(y,w,v5),z,u)). a(x * y,z,a(z,x,y)) \ R(z,x,y) = z * a(z,x,y). a(x,y,a(z,u \ 1,u \ w)) = a(x,y,a(z,u,u \ w)). a(x,y,((((z * (u / w)) * v5) * v6) \ v7) * (((z * (w \ u)) * v5) * v6)) = a(x,y,v7). a(x,y,z * (((u * (w \ v5)) * a(u * (v5 / w),v6,v6)) * v7)) = a(x,y,z * (R(u * (v5 / w),v6,v6) * v7)). (x \ 1) * (a(x \ 1,x,y) * a(y * x,x \ 1,a(y,x,x))) = R(x \ 1,x,y). (x * (a(y,z,u) * a(u * z,y,a(y,z,u)))) / x = y \ R(y,z,u). (a(x,y,z) \ 1) * (R(x,y,z) * T(u,x * a(y * z,x,a(x,y,z)))) = L(u,R(x,y,z),a(x,y,z) \ 1) * ((a(x,y,z) \ 1) * R(x,y,z)). a(R(x,y,z),u,w) * a(u * w,R(x,y,z),a(R(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z). (x / y) \ (x * (1 / y)) = y * (a(y \ x,y,y) / y). (x * (y \ R(y,z,u))) * a(x \ y,x,y * L(y,z,u)) = (y / x) \ R(y,z,u). x * (((L(x,y,y) \ z) * x) \ (a(y,y,x) * ((x \ z) * x))) = (z / L(x,y,y)) \ (z * a(y,y,x)). a(x,y \ z,L(y,y \ z,x)) \ z = L(y,y \ z,x) * (y \ z). (x * L(x \ L(x,y,z),x,z * y)) \ L(x,y,z) = a(z * y,x,a(x,y,z)). L(x,y,z) \ (u * (L(u,x,L(x,y,z)) \ L(x,y,z))) = a(x,L(x,y,z),L(u,x,L(x,y,z))). (x * L(R(y,z,u),x,L(y,w,v5))) \ (x * R(y,z,u)) = a(L(y,w,v5),x,L(y,z,u)). a(x,L(y,a(y,z,u),x),a(y,z,u)) = L(y,a(y,z,u),x) \ y. T(a(x,L(y,z,z),L(a(z,z,y),L(y,z,z),x)) * L(y,z,z),a(z,z,y)) = L(a(z,z,y),L(y,z,z),x) \ y. (x \ ((x * y) * T(z,y))) \ (z * y) = (x \ ((x * y) * z)) \ (y * z). L(x,y,z) * L(L(x,y,z) \ x,u,z) = (z * y) \ ((z * y) * x). a(x \ y,z,u) \ ((y / x) \ w) = (y / x) \ (a(x \ y,z,u) \ w). (x * (y * (a(x,z,u) \ L(a(x,z,u),w,v5)))) \ (x * (y * (a(x,z,u) \ L(a(x,z,u),w,v5)))) = a(a(x,z,u) \ L(a(x,z,u),w,v5),y,x). L((a(x,y,z) \ 1) \ u,x,a(x,y,z)) = (a(x,y,z) \ x) \ (x * u). L(x \ y,x,a(z,z,x)) = a(x,z,z) * (R(x,z,z) \ y). L(a(x * y,x * y,y),z,x) = a(x * y,x * y,x * (x * y)). L(a(a(x,y,z),u,w) \ u,a(x,y,z),w) = (a(x,y,z) * w) \ ((w * u) * a(x,y,z)). L(a(x,y,z \ R(z,u,w)) \ y,x,z \ R(z,u,w)) = (x * (z \ R(z,u,w))) \ (x * (y * (z \ R(z,u,w)))). L(a(x,y,z * K(x * y,z)) \ y,x,z * K(x * y,z)) = (z * (K(x * y,z) * x)) \ (((x * (y * z)) / (x * y)) * (x * y)). a(L(a(x,y,z) \ y,x,z * (u * u)),w,v5) = a(L(y,z * (u * u),x),w,v5). L(a(x,y,z \ L(z,u,w)) \ y,x,z \ L(z,u,w)) = L(y,z \ L(z,u,w),x). L(a(x,x,y) * y,x,x) = y. a(x,y,L(z * u,z,z)) = a(x,y,z \ u). a(x,y,L(z * u,u,u)) = a(x,y,u \ z). L(x * a(y,x,a(z,u,w)),a(z,u,w),y) = L(x,y,a(z,u,w)). L(x * a(y \ L(y,z,u),x,w),w,y \ L(y,z,u)) = L(T(x,y \ L(y,z,u)),y \ L(y,z,u),w). L(L(x \ L(x,y,z),u,w) * a(R(x,u,w),L(x \ L(x,y,z),u,w),v5),v5,R(x,u,w)) = (R(x,u,w) * v5) \ (L(R(x,u,w),y,z) * v5). L(x * a(y,x,z * L(z,u,w)),L(z,u,w) \ z,y) = L(x,y,L(z,u,w) \ z). a(L(a(x,y,z) * y,z,x),u,w) = a(L(y,x,z),u,w). L(x * a(y \ L(y,z,u),x,w),w,L(y,z,u) \ y) = L(x,L(y,z,u) \ y,w). x \ ((y \ 1) \ (T(y,y \ 1) \ x)) = ((1 / y) * x) \ (y \ x). a(x,y,(z * T(L(u,z,w),w)) \ (z * R(T(u,w * z),w,z))) = a(x,y,a(w,w \ (L(u,z,w) * w),z)). (x * (L(y,z,u) \ y)) \ ((x / y) * (L(1 / y,z,u) \ 1)) = a(y,y \ L(y,z,u),x). L(x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)),L(x,y,z) \ x,u) = a(x,x \ L(x,y,z),u). ((x \ L(x,y,z)) \ (u / x)) * L(x,y,z) = u * a(x,x \ L(x,y,z),u). L(x,y,z) \ (u * a(x,x \ L(x,y,z),u)) = T((x \ L(x,y,z)) \ (u / x),L(x,y,z)). ((x \ 1) * (y \ L(y,z,u))) * a(x,x,y * L(y \ 1,z,u)) = x \ (y * L(y \ 1,z,u)). a(x,y,a(z \ u,(z \ u) \ 1,u)) = a(x,y,(z \ u) * (u \ z)). a(x,y,(z \ u) \ (z * u)) = a(x,y,a(z,z \ 1,u)). (x * (y \ L(y,z,u))) \ ((y / x) \ L(y,z,u)) = a(x,x,y * L(y,z,u)). R(x,y,(z * u) \ ((1 / u) \ z)) = L(x,y,a(u,u,z)). L(x,y * a(z,y,y),(y * a(z,y,y)) \ L(y * a(z,y,y),y,z)) = (a(z,y,y) * (x * (y * (a(z,y,y) \ 1)))) / L(y * a(z,y,y),y,z). a(x,y,L(((z \ 1) \ u) \ L(z,z,u),w,v5)) = a(x,y,L(L(u,u,z),w,v5)). a(x,y,a(z,z,z \ u)) = a(x,y,a(u,z,z)). a(x,y,a(z,u \ 1,u \ 1)) = a(x,y,a(z,u,u)). a(x,y,(((z * (u \ w)) * v5) * (v6 \ v7)) * a(v6,v6 \ v7,(z * (w / u)) * v5)) = a(x,y,v6 \ (v7 * ((z * (w / u)) * v5))). (x \ 1) * (a(x \ 1,x,y) * 1) = R(x \ 1,x,y). (x * (a(L(y,z,u),w,v5) * a(v5 * w,R(y,z,u),a(R(y,z,u),w,v5)))) / x = R(y,z,u) \ R(R(y,z,u),w,v5). (a(x,y,z) \ 1) * (R(x,y,z) * T(u,x * a(y * z,x,a(x,y,z)))) = L(u,R(x,y,z),a(x,y,z)) * ((a(x,y,z) \ 1) * R(x,y,z)). a(L(x,y,z),u,w) * a(u * w,R(x,y,z),a(R(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z). L(x,y,z) * L(L(x,y,z) \ x,u,z) = x. L(L(x,y,z) \ x,u,z) = L(x,y,z) \ x. L(a(x,x,(R(y,z,u) \ y) \ 1) * ((R(y,z,u) \ y) \ 1),x,x) = y \ R(y,z,u). L(x * a(y,y,x),y,y) = x. L(x * a(y,y,x),y,y) = z * (u * (u \ (z \ x))). L(L(1 / x,y,y) \ 1,y,y) = x. a(a(x,y,z) \ L(a(x,y,z),u,w),v5,x) = 1. L(x,y * a(z,y,y),(y * a(z,y,y)) \ L(y * a(z,y,y),y,z)) = (a(z,y,y) * (x * (a(z,y,y) \ y))) / L(y * a(z,y,y),y,z). (x * (y * (z \ 1))) / (u * (z \ 1)) = (x * (y * z)) / (u * z). L(x,L(a(y,z,u) \ z,y,u \ 1),w) = L(x,L(T(z,u \ 1),u \ 1,y),w). ((a(x,y,z) \ y) * x) * z = (y * x) * L(z,y,x). L(a(x,y,a(z,u,u)) \ y,x,a(u \ z,u,z)) = L(y,a(u \ z,u,z),x). a(x,y,L(a(z,u,w * v5) \ u,z,v5 * w)) = a(x,y,L(u,w * v5,z)). a(x,y,L(a(z,u,w * ((v5 * v5) \ v6)) \ u,z,w * v6)) = a(x,y,L(u,w * ((v5 * v5) \ v6),z)). a(x,y,L(a(z,u,L(w,v5,v6)) \ u,z,L(w \ 1,v5,v6))) = a(x,y,L(u,L(w \ 1,v5,v6),z)). a(x,y,L(a(z,u,(w * v5) * v6) \ u,z,v6 * (w * ((v7 * v7) \ v5)))) = a(x,y,L(u,v6 * (w * ((v7 * v7) \ v5)),z)). a(x,y,L(a(z,u,w * R(v5,v6,v7)) \ u,z,w * L(v5,v6,v7))) = a(x,y,L(u,w * R(v5,v6,v7),z)). L(x,(y * (a(y,z,u) \ z)) * (u \ 1),w) = L(x,y * L(u \ z,u,u),w). L(a(x,y,L(a(z,u,w),v5,v6)) \ y,x,L(a(z,u,w),v5,v6)) = L(y,L(a(z,u,w),v5,v6),x). L(x,L(a(y,z,u) \ z,y,u),w) = L(x,L(z,u,y),w). a(x,a(x,y,z) \ y,z) = a(x,y,z). L(x,y,z) \ (u \ ((u * (L(x,y,z) * x)) / x)) = a(u,x,L(x,y,z)) \ 1. x \ (y \ ((L(L(z,u,w) \ z,x,y) * (y * x)) / (L(z,u,w) \ z))) = L(a(y,x,z * L(z,u,w)) \ 1,a(y,x,L(z,u,w) \ z),x). R(x,y,L(a(z,u,w),a(z,u,w),u)) = R(x,y,u \ (z \ (w \ (z * (u * w))))). R(x,y,z) \ (x * y) = a(L(x,y,z),y,z) \ y. a(a(x,y,z),u,w) \ u = u * a(w,u,a(x,y,z)). L(a(x,y,z \ R(z,u,w)) \ y,x,z \ R(z,u,w)) = L(T(y,z \ R(z,u,w)),z \ R(z,u,w),x). L(a(x,y,z * K(x * y,z)) \ y,x,z * K(x * y,z)) = (z * (x * K(y * x,z))) \ (((x * (y * z)) / (x * y)) * (x * y)). a(L(a(x,y,z) \ y,x,z),u,w) = a(L(y,z * (v5 * v5),x),u,w). L(a(x,y,z * L(z,u,w)) \ y,x,z \ L(z,u,w)) = L(y,z \ L(z,u,w),x). R(x,L(y * z,y,y),L(y * z,y,y)) = a(x,L(y * z,y,y),y \ z) * x. a(x,y,z \ (z \ u)) = a(x,y,L(u,z,z)). L(a(x,y,z) \ (u \ (w * a(x,y,z))),a(x,y,z) \ 1,a(x,y,z)) = 1 \ (a(x,y,z) * (u \ (w * (a(x,y,z) \ 1)))). x * (x \ ((a(y,y,x) * z) / (L(x,y,y) \ z))) = (z / L(x,y,y)) \ (z * a(y,y,x)). a(L(x,y,z),u,L(x,w,v5)) = (u * L(R(x,w,v5),u,x)) \ (u * R(x,w,v5)). L(L(x,a(x,y,z),u) \ x,x,a(x,w,v5)) = a(u,L(x,a(x,y,z),u),a(x,y,z)). (a(x,x,y) \ ((a(x,x,y) * x) * z)) \ (x * z) = (a(x,x,y) \ (R(x,x,y) * T(z,x))) \ (z * x). L(a(x,y,a(z,u,w)) * y,a(z,u,w),x) = L(y,x,a(z,u,w)). L(x * a(x,L(x,y,z),a(u,w,v5)),a(u,w,v5),L(x,y,z)) = L(x,L(x,y,z),a(u,w,v5)). L(x * a(y,x,a(z * u,w,v5)),a(u * z,w,v5),y) = L(x,y,a(u * z,w,v5)). L(x * 1,a(y,z,L(u,w,v5)),u) = L(x,u,a(y,z,L(u,w,v5))). L(x * a(y \ L(y,z,u),x,w),w,y \ L(y,z,u)) = L(x,y \ L(y,z,u),w). L(L(x \ L(x,y,z),u,w) * a(R(x,u,w),L(x \ L(x,y,z),u,w),v5),v5,R(x,u,w)) = v5 \ ((v5 / R(x,u,w)) * L(R(x,u,w),y,z)). L(x * a(y,x,z * L(z,u,w)),L(z,u,w) \ z,y \ 1) = L(x,y \ 1,L(z,u,w) \ z). (x * x) * (x \ (x \ y)) = y * a(x,x,y). ((1 / x) * y) \ (x \ y) = y \ ((1 / x) \ (x \ y)). a(x,y,(z * L(T(u,w),z,w)) \ (z * R(T(u,w * z),w,z))) = a(x,y,a(w,w \ (L(u,z,w) * w),z)). a(x,y,a(z,z \ 1,u)) = a(x,y,a(z,z,z \ u)). a(x,y \ z,a(u,w,w \ u)) = a(x,y \ z,a(u,w,w)). a(x,y,a(z,z,u * z)) = a(x,y,a(u,z,z)). a(x,y,a(z,u \ 1,u)) = a(x,y,a(z,u,u)). a(x,y,(((z * (u \ w)) * v5) * (v6 \ v7)) * a(v6,v6 \ v7,(z * (u \ w)) * v5)) = a(x,y,v6 \ (v7 * ((z * (w / u)) * v5))). (x * (a(L(y,z,u),w,v5) * a(v5 * w,R(y,z,u),a(L(y,z,u),w,v5)))) / x = R(y,z,u) \ R(R(y,z,u),w,v5). a(L(x,y,z),u,w) * a(u * w,R(x,y,z),a(L(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z). L(x * (L(x,y,z) \ x),y,z) = x. L(x * L(x,y,z),u,z) = x * L(x,y,z). L(L(x,y,z) \ x,u,z) = (x \ L(x,y,z)) \ 1. x \ (y * (L(y,z,x) \ x)) = L(y,z,x) \ y. (x * y) * (L(z,u,x) \ z) = x * (y * (L(z,u,x) \ z)). x * (L(y,z,x) \ y) = y * (L(y,z,x) \ x). a(x,y,y) * L(z,y,x) = L(z * a(x,y,y),y,x). x * (a(y,z,z) * L(a(y,z,z) \ (x \ 1),z,y)) = (x * a(y,z,z)) \ (L(x,z,y) * a(y,z,z)). L(x,y * a(z,y,y),(y * a(z,y,y)) \ L(y * a(z,y,y),y,z)) = (a(z,y,y) * (x * (a(z,y,y) \ y))) / y. (x * (y * (z \ 1))) / ((L(z,u,w) \ z) * (z \ 1)) = (x * (y * z)) / (L(1 / z,u,w) \ 1). (x * (a(y,z,u) * w)) / (x * w) = L(a(y,z,u),w \ 1,x). (x * ((y \ R(y,z,u)) * w)) / (x * w) = L(y \ R(y,z,u),w \ 1,x). (x * ((y * (a(y,z,u) \ z)) * u)) / (w * u) = (x * (y * (z * (u \ 1)))) / (w * (u \ 1)). L(x,L(a(y,z,u) \ z,y,u \ 1),w) = L(x,L(z,u \ 1,y),w). (x \ R(x,y,z)) \ a(x,y,z) = a(x,a(x,y,z),y * z). x * ((R(x,y,z) \ a(x,y,z)) * (x \ L(x,u,w))) = (x \ L(x,u,w)) * a(x,a(x,y,z),y * z). x * ((R(x,y,z) \ a(x,y,z)) * (x \ L(x,u,w))) = a(x,a(x,y,z),y * z) * (x \ L(x,u,w)). a(x,y,L(a(z,u,w * v5) \ u,z,v5 * w)) = a(x,y,L(u,v5 * ((v6 * v6) \ w),z)). a(x,y,L(a(z,u,L(w,v5,v6)) \ u,z,L(w,v5,v6))) = a(x,y,L(u,L(w \ 1,v5,v6),z)). a(x,y,L(a(z,u,(w * v5) * v6) \ u,z,v6 * (w * v5))) = a(x,y,L(u,v6 * (w * ((v7 * v7) \ v5)),z)). L(x,y * L(z \ u,z,z),w) = L(x,y * (u * (z \ 1)),w). L(x,y,z) \ (u \ ((u * (x * L(x,y,z))) / x)) = a(u,x,L(x,y,z)) \ 1. x \ (y \ ((L(L(z,u,w) \ z,x,y) * (y * x)) / (L(z,u,w) \ z))) = L(a(y,x,z * L(z,u,w)) \ 1,a(y,x,z * L(z,u,w)),x). R(x,y,L(a(z,u,w),a(z,u,w),u)) = L(x,y,a(w,u,z)). a(L(x,y,z),y,z) \ y = x * (R(x,y,z) \ y). L(a(x,y,z \ R(z,u,w)) \ y,x,z \ R(z,u,w)) = L(y,z \ R(z,u,w),x). L(a(x,y,z * K(x * y,z)) \ y,x,z * K(x * y,z)) = (z * (x * K(y * x,z))) \ (x * (y * z)). a(L(x,y * (z * z),u),w,v5) = a(L(x,y,u),w,v5). a(x,y,L(z * u,u * z,u)) = a(x,y,L(z \ u,u,u)). a(x,y,L(z * u,z * u,L(u,u,z))) = a(x,y,L(u \ z,z,z)). a(x,y,R(z,u,u) \ u) = a(x,y,L(z \ u,u,u)). L(L(x,y,z) \ (L(x,y,z) \ x),y,z) * (a(u,w,L(x,y,z) \ (L(x,y,z) \ x)) \ v5) = a(u,w,L(x,L(x,y,z),L(x,y,z))) \ ((L(x,y,z) \ 1) * v5). ((x * x) \ y) * a(x,x,L(y,x,x)) = x \ (x \ y). x \ (y \ ((y * (x * a(z,u,w))) / a(z,u,w))) = a(a(z,u,w),x,y). x \ (a(y,x,a(z,u,w)) \ x) = a(a(z,u,w),x,y). a(x,a(y,z,x),u) \ x = x * a(u,x,a(y,z,x)). L(x,a(y,z,u),w) * (a(y,z,u) * w) = (a(y,z,u) * x) * w. L(x,a(y,z,u),(x * a(y,z,u)) \ w) \ w = a(y,z,u) * ((x * a(y,z,u)) \ w). L(x,a(y,z,u),w) * (w * a(y,z,u)) = (x * a(y,z,u)) * w. R(x,a(y,z,u),w) = L(x,a(y,z,u),w). L(a(x,y,z) \ u,a(x,y,z),w) = (u * w) / (w * a(x,y,z)). (x * y) \ T(a(z,u,w) * x,(a(z,u,w) * x) \ (x * y)) = (y * x) \ (a(z,u,w) * x). T(K(x,y) * (a(z,u,w) * y),x * y) = L(a(z,u,w) * y,(a(z,u,w) * y) \ (x * y),a(z,u,w) * y). T(x * K(y * x,z),y) = (y * a(u,w,v5)) \ T((a(u,w,v5) * y) * T(x,y),z). (L(a(x,y,z),u,w) * v5) * T(v6,v5) = v6 * (((v5 / a(x,y,z)) * L(a(x,y,z),u,w)) * a(x,y,z)). (((x \ L(x,y,z)) / u) \ 1) \ 1 = u \ (x \ L(x,y,z)). L(x,y,a(x,x,y)) \ ((1 / x) \ y) = y * a(x \ 1,x,y). L(x,y,a(z \ u,z,u)) = L(x,y,a(u,z,z)). L((x \ (a(y,z,u) \ w)) \ ((a(y,z,u) * x) \ w),T(x,v5) \ (a(y,z,u) \ w),x * a(y,z,u)) = a(T(x,v5) \ (a(y,z,u) \ w),x,a(y,z,u)). L(x,y * R(z,u \ 1,u),w) = L(x,y * R(z,u,u),w). (x \ L(x,y,z)) \ (L(x,u,w) \ (((x \ L(x,y,z)) * (x \ L(x,y,z))) * v5)) = L(x,u,w) \ ((L(x,y,z) \ x) \ v5). (a(x,x,y) * z) / (L(y,x,x) \ z) = (z / L(y,x,x)) \ (z * a(x,x,y)). x \ (y \ ((y * x) * z)) = z * (L(z,x,y) \ z). L(L(x * (L(x,y,z) \ x),u,w),y,z) = L(x,u,w). R(x,y,L((z * (L(z,u,w) \ z)) \ 1,u,w)) = R(x,y,z). L((x * (L(x,y,z) \ x)) \ L(x * (L(x,y,z) \ x),u,w),y,z) = x \ L(L(x * (L(x,y,z) \ x),u,w),y,z). x * (y * (L(z * (L(z,u,w) \ z),u,w) * L((z * (L(z,u,w) \ z)) \ 1,u,w))) = (x * y) * (z * L((z * (L(z,u,w) \ z)) \ 1,u,w)). L(x * L((x * (L(x,y,z) \ x)) \ 1,y,z),u,w) = L(x * (L(x,y,z) \ x),y,z) * L((x * (L(x,y,z) \ x)) \ 1,y,z). a(x,y,(z * u) \ ((z * (w * (L(w,z,u) \ w))) * u)) = a(x,y,w). L(L(x,y,z) \ 1,y,z) = x \ 1. L(L(a(x,y,z) \ 1,u,w) \ 1,u,w) = a(x,y,z). x \ ((y * (L(y,z,u) \ y)) * (L(y * (L(y,z,u) \ y),z,u) \ x)) = (y * x) \ ((y * (L(y,z,u) \ y)) * x). L(1 / L(x,y,z),y,z) = 1 / x. (x \ y) * (L(z * (L(z,u,w) \ z),u,w) * L((z * (L(z,u,w) \ z)) \ 1,u,w)) = x \ ((z * L((z * (L(z,u,w) \ z)) \ 1,u,w)) * y). (x * y) * a(z,x,L(y * (L(y,x,z) \ y),x,z)) = x * (y * (L(y,x,z) \ y)). x \ ((y * (L(y,x,z) \ y)) * (L(y * (L(y,x,z) \ y),x,z) \ x)) = a(z,x,y). L(L(x \ L(x,y,z),u,w) \ 1,u,w) = L(x,y,z) \ x. L(x,y,z) \ (L(x,y,z) \ x) = L(L(x,y,z),y,z) \ 1. L(x * y,y,x) \ 1 = y \ (x \ 1). x * (y * (L(z,y,x) \ 1)) = (x * y) * (z \ 1). L(((x * y) \ z) \ 1,y,x) = (y \ (x \ z)) \ 1. (x \ (y \ ((y * x) * z))) \ 1 = L(z \ 1,x,y). L(a(x,y,z) \ 1,x,y * z) = (x \ R(x,y,z)) \ 1. L(L(a(x,y,z),u,w) \ 1,x,z * y) = L(x \ R(x,y,z),u,w) \ 1. L(a(x,y,z) \ 1,x,z * y) = (x \ R(x,y,z)) \ 1. (x / (L(y,z,u) \ 1)) * L(L(y,z,u) \ 1,z,u) = (L(y,z,u) \ 1) \ ((y \ 1) * x). L(x,y,z) * (L(L(x,y,z),y,z) \ u) = (L(x,y,z) \ 1) * ((x \ 1) \ u). (x / L(y,z,u)) * L(L(y,z,u),z,u) = (x / (L(y,z,u) \ 1)) * (y \ 1). (1 / L(x,y,z)) * ((u / (L(x,y,z) \ 1)) * (x \ 1)) = L(1 / L(x,y,z),y,z) * u. L(L(1 / L(x,y,z),u,w),y,z) = L(1 / x,u,w). ((a(x,x,y) \ 1) \ (z / y)) * L(y,x,x) = z * a(y,y \ L(y,x,x),z). (L(x,y,z) \ u) * a(x,x \ L(x,y,z),u) = T((x \ L(x,y,z)) \ (u / x),L(x,y,z)). ((x \ 1) * (y \ L(y,z,u))) * a(x,x,y \ L(y,z,u)) = x \ (y * L(y \ 1,z,u)). (a(x,x,y) \ ((a(x,x,y) * x) * z)) \ (x * z) = (a(x,x,y) \ (z * R(x,x,y))) \ (z * x). a(x,y,a(z * u,w,v5)) * y = y * a(x,y,a(u * z,w,v5)). L(L(x \ L(x,y,z),u,w) * a(L(x,u,w),L(x \ L(x,y,z),u,w),v5),v5,R(x,u,w)) = v5 \ ((v5 / R(x,u,w)) * L(R(x,u,w),y,z)). a(L(x,y,z),u,L(x,w,v5)) = u \ (R(x,w,v5) * (L(R(x,w,v5),u,x) \ u)). (x * x) * (x \ (x \ y)) = L(1 / y,x,x) \ 1. (a(x,y,z) \ 1) \ (a(x,y,z) \ u) = u * a(a(x,y,z),a(x,y,z),u). L(x,y,(z \ (z \ u)) * (z * z)) = L(x,y,u * a(z,z,u)). a(x,y,z \ (u \ ((w \ (w \ v5)) * (w * w)))) = a(x,y,z \ (u \ (v5 * a(w,w,v5)))). a(x,y,(z \ (u * a(w,w,u))) * v5) = a(x,y,v5 * (z \ ((w \ (w \ u)) * (w * w)))). a(x,y,(z * (u * a(w,w,u))) \ v5) = a(x,y,(z * (w \ (w \ u))) \ v5). a(x,(y \ (y \ z)) * (y * y),u) = a(x,z * a(y,y,z),u). a(x,y,a(z,z \ 1,u)) = a(x,y,a(u,z,z)). a(x,y,a(z * u,z * u,u)) = a(x,y,a(z,z * u,z * u)). a(x,y,z \ (u * T((w * (v5 \ v6)) * v7,z \ u))) = a(x,y,z \ (u * ((w * (v6 / v5)) * v7))). L((x \ L(x,y,y)) \ z,a(x,y,y),L(y,y,x)) = R(y,y,x) * (y \ z). (R(x,x,y) \ x) * (R(x,x,y) * z) = x * L(z,L(x,x,y),a(y,x,x)). x * a(x,y \ L(y,z,u),y * L(y,z,u)) = L(x,L(y,z,u) \ y,L(y,z,u) \ y). (x * (a(L(y,z,u),w,v5) * a(v5 * w,L(y,z,u),a(L(y,z,u),w,v5)))) / x = R(y,z,u) \ R(R(y,z,u),w,v5). a(L(x,y,z),u,w) * a(u * w,L(x,y,z),a(L(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z). a(x,y,z * L(z,u,x)) = 1. L(x \ L(x,y,z),u,z) \ 1 = L(x,y,z) \ x. x \ (y * (L(y,z,x) \ x)) = K(u,a(w,v5,v6)) * (L(y,z,x) \ y). a(x,L(x,y,z),L(u,x,L(x,y,z))) = L(u,x,L(x,y,z)) \ u. (x * (L(y,z,x) \ y)) \ u = (y * (L(y,z,x) \ x)) \ u. L(x \ L(x,y,z),x,u) \ (x \ L(x,y,z)) = u \ ((x \ L(x,y,z)) * (x * (L(x,y,z) \ u))). (1 / x) \ L(L(y,z,x) \ y,x,x) = y * (L(y,z,x) \ x). L(a(x,y,z),z,u) \ a(x,y,z) = a(z \ u,z,a(x,y,z)). ((x * (L(x,y,z) \ z)) * u) \ ((z * (L(x,y,z) \ x)) * R(u,z,L(x,y,z) \ x)) = a(u,z,L(x,y,z) \ x). ((x * (L(x,y,z) \ z)) * u) \ ((z * (L(x,y,z) \ x)) * R(u,L(x,y,z) \ x,z)) = a(u,L(x,y,z) \ x,z). ((x * (L(x,y,z) \ z)) * u) / (u * (L(x,y,z) \ x)) = R(z * K(L(x,y,z) \ x,u),L(x,y,z) \ x,u). (x * (L(y,z,x) \ y)) * y = y * (L(y,z,x) \ (x * y)). K(x \ y,x \ 1) * (y \ (T(y,x) / x)) = (x \ (x \ y)) / (x \ y). R(T(x,y),z \ (a(u,w,v5) \ v6),x) = R(T(x,y),z \ v6,x). ((a(x,y,z) \ y) * x) * z = x * (T(y,x) * z). L(a(x * y,x * y,y),z,x) = a(x * y,x * y,y). x * L((a(y,z,z) \ (x \ 1)) * a(y,z,z),z,y) = (x * a(y,z,z)) \ (L(x,z,y) * a(y,z,z)). a(x,y,z * (u * L(1 / (w * v5),v6,v7))) = a(x,y,z * (u * L((v5 \ 1) * w,v6,v7))). a(x,y,L(R(z,u,w) \ z,v5,v6) * v7) = a(x,y,L(z * R(z,u,w),v5,v6) * v7). a(x,y,a(z,(u * u) \ w,v5)) = a(x,y,a(z,w,v5)). L(x,a(y,z,L(u,w,v5)),u) = L(x,u,a(y,z,L(u,w,v5))). a(x,y,L(z,L(R(u,u,w),(u * u) \ w,(u * u) \ w),v5)) = a(x,y,L(z,((u * u) \ w) * (u \ w),v5)). a(x,y,L(z,L(L(u,u,w),R(w,u,u),R(w,u,u)),v5)) = a(x,y,L(z,R(w,u,u) * (u * w),v5)). a(x,y,L(z,u * ((w \ v5) * u),v6)) = a(x,y,L(z,L(v5 / w,u,u),v6)). a(x,y,L(z,(u \ w) * (v5 * (u \ w)),v6)) = a(x,y,L(z,L(v5,w / u,w / u),v6)). a(x,y,L(z,u \ w,(u \ 1) * w)) = a(x,y,L(z,u * w,u \ w)). a(x,y,L(z * L(z,z,u),w,v5)) = a(x,y,a(z,z,L(u,w,v5))). (x \ 1) * a(x \ 1,x,y) = R(x \ 1,x,y). a(x \ y,x,y \ L(y,z,u)) = a(x,x,y * L(y,z,u)). L(x * 1,L(y,z,u) \ y,y \ 1) = L(x,y \ 1,L(y,z,u) \ y). (x * (L(x,y,z) \ (L(x,y,z) \ x))) * u = (L(x,y,z) * L(x \ 1,y,z)) \ u. ((x \ L(x,y,z)) \ u) * (L(x,y,z) \ x) = (L(x,y,z) * L(x \ 1,y,z)) \ u. x * (y * (L(y,z,u) \ (L(y,z,u) \ y))) = (L(y,z,u) * L(y \ 1,z,u)) \ x. (L(x,y,z) * L(x \ 1,y,z)) \ 1 = L(x,y,z) \ (L(1 / x,y,z) \ 1). (L(x,y,z) * L(x \ 1,y,z)) \ (u \ w) = u \ (w / (L(x,y,z) * L(x \ 1,y,z))). (L(x,y,z) * L(x \ 1,y,z)) \ (u * w) = u * (w / (L(x,y,z) * L(x \ 1,y,z))). ((L(x,y,z) * L(x \ 1,y,z)) \ u) / w = u / (w * (L(x,y,z) * L(x \ 1,y,z))). (((x * y) / x) * x) * (L(z,u,w) * L(z \ 1,u,w)) = y * T(x * (L(z,u,w) * L(z \ 1,u,w)),y). ((L(x,y,z) * L(x \ 1,u,w)) * v5) * v6 = (v5 * (L(x,y,z) * L(x \ 1,u,w))) * v6. L(x,x,a(y,y,z)) \ a(z,y,y) = a(z,y,y) * (x \ 1). L(x,x,a(y,z,z)) \ a(z,z,y) = a(z,z,y) * (x \ 1). L(a(x,y,z),u,R(w,w,(v5 \ 1) \ v6) \ (v5 \ v6)) = L(a(x,y,z),u,((v5 \ 1) \ v6) * (w \ 1)). L(a(x,y,z),z,L(u,u,z)) = L(a(x,y,z),z,z / u). L(a(x,y,z),u,w * a(v5,v5,w)) = L(a(x,y,z),u,L(w,v5,v5)). L(a(x,y,z),u * L(u,w,v5),L(u,w,v5)) * u = (L(u,w,v5) \ 1) * (((L(u,w,v5) \ 1) \ u) * a(x,y,z)). x \ (y \ ((y * a(z,u,y)) * x)) = L(a(z,u,y),y,x). a(L(a(x,y,z),u,w),v5,v5) \ 1 = a(v5,v5,L(a(x,y,z),u,w)). (x \ L(x,y,z)) * L(a(u,w,v5),x,L(x,y,z)) = (a(u,w,v5) * x) * L(x \ 1,y,z). (a(x,y,z) * u) * L(u \ 1,w,v5) = u * (a(x,y,z) * L(u \ 1,w,v5)). x \ L(x,x,L(a(y,z,u),w,v5)) = a(x,x,L(a(y,z,u),w,v5)). x * a(x,x,L(a(y,z,u),w,v5)) = L(x,x,L(a(y,z,u),w,v5)). (x \ L(x,y,z)) * L(a(u,w,v5),x,L(x,y,z)) = x * (a(u,w,v5) * L(x \ 1,y,z)). L(a(x,y,z),u,L(u,w,v5)) * (u \ L(u,w,v5)) = u * (a(x,y,z) * L(u \ 1,w,v5)). a(a(x \ y,x,x),z,u) = a((x \ 1) \ (y \ (y / x)),z,u). x * L(L(y \ 1,z,u) \ (y \ 1),y \ 1,x) = (x / y) * (L(1 / y,z,u) \ 1). R(x,y * (z * z),a(u,w,v5)) = R(x,y,a(u,w,v5)). R(a(x,y,z) / x,L(x,u,w),x * a(x,y,z)) = x \ a(x,y,z). ((L(x,y,z) \ x) * (u * w)) / ((L(x,y,z) \ x) * w) = L(u,w,x \ L(x,y,z)). R(x,y,z \ L(z,u,w)) = L(x,y,z \ L(z,u,w)). R(x,y,L(z,u,w) \ z) = L(x,y,z \ L(z,u,w)). (((x \ 1) * (x * y)) \ 1) \ L(y \ 1,y * (((x \ 1) * (x * y)) \ 1),y \ L(y,x,x)) = (y * (((x \ 1) * (x * y)) \ 1)) \ 1. R(x,L(y,z,u),y * L(y,w,v5)) = L(x,y \ L(y,w,v5),L(y,z,u)). x * a(x,y \ L(y,z,u),y * L(y,z,u)) = L(x,y \ L(y,z,u),y * L(y,z,u)). L(x,y \ L(y,z,u),w \ L(w,v5,v6)) = L(x,y \ L(y,z,u),w * L(w,v5,v6)). L(x,y \ L(y,z,u),L(w,v5,v6) \ w) = L(x,y \ L(y,z,u),w * L(w,v5,v6)). L((x \ L(x,y,z)) \ u,x \ L(x,y,z),L(x,y,z)) = (u * (L(x,y,z) \ 1)) / (x \ 1). L(x,y \ L(y,z,u),w \ 1) = R(x,y \ L(y,z,u),w). L(x,L(y,z,u) \ L(L(y,z,u),w,v5),v6) = R(x,L(y \ L(y,w,v5),z,u),v6). L(x \ L(x,y \ L(y,z,u),w),x,(y \ L(y,z,u)) * w) = a(x,y \ L(y,z,u),w). (x \ L(x,y,z)) * (u * L(x,x \ L(x,y,z),u)) = u * L(x,y,z). (x \ 1) * (L(L(x,y,z) \ x,x,u) * u) = ((x \ 1) * (L(x \ 1,y,z) \ (x \ 1))) * u. x * (x \ ((y * z) * (L(y * z,u,w) \ x))) = (z * y) * (L(z * y,u,w) \ x). L(L(x \ L(x,y,z),u,w),L(x \ K(v5,v6),u,w),v7) \ v7 = L(x \ 1,u,w) * (L(L(x \ 1,u,w),y,z) \ v7). L((x * (L(x,y,z) \ (L(x,y,z) \ x))) \ u,w,v5) = L(u,w,v5) * (L(x,y,z) * L(x \ 1,y,z)). x * (L(x,y,z) \ L(x \ ((L(x,y,z) \ x) * x),u,w)) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). ((L(x,y,z) \ x) * (u * x)) / (L(1 / x,y,z) \ 1) = L(u,x \ 1,L(x,y,z) \ x). L(x \ R(x,y,z),u \ 1,w) = L(x \ R(x,y,z),u,w). L(a(x,y,z),u \ 1,w) = L(a(x,y,z),u,w). (x * (y * (z * (u \ 1)))) / (w * (u \ 1)) = (x * (y * (z * u))) / (w * u). L(x,L(a(y,z,u) \ z,y,u),w) = L(x,L(z,u \ 1,y),w). x * ((R(x,y,z) \ a(x,y,z)) * (x \ L(x,u,w))) = L(x,u,w) * (x \ a(x,a(x,y,z),y * z)). L(x,y,z) \ L(u \ (u / (x \ 1)),y,z) = a(u,x,L(x,y,z)) \ 1. L(1 \ x,y,z \ L(z,u,y)) = L(x,z \ L(z,u,y),y). x \ (y \ ((L(L(z,u,w) \ z,x,y) * (y * x)) / (L(z,u,w) \ z))) = x \ (y \ ((y * (x * (z * L(z,u,w)))) / (z * L(z,u,w)))). L(x,y \ (z / a(L(u,z,w),z,w)),v5) = L(x,y \ (u * (R(u,z,w) \ z)),v5). a(x,y,L(z,u * ((w * w) \ v5),v6)) = a(x,y,L(z,v5 * u,v6)). a(x,y,L(z,L(u \ 1,w,v5),v6)) = a(x,y,L(z,L(u,w,v5),v6)). a(x,y,L(z,u * (w * ((v5 * v5) \ v6)),v7)) = a(x,y,L(z,(w * v6) * u,v7)). L(a(x,y,z * R(z,u,w)) \ y,x,z \ R(z,u,w)) = L(y,z \ R(z,u,w),x). L(a(x,y,z * K(x * y,z)) \ y,x,z * K(x * y,z)) = K(z,y * x) * ((z * x) \ (x * (y * z))). a(L(x,y \ 1,z),u,w) = a(L(x,y,z),u,w). a(x,y,L(z * u,u * z,L(u,u,z))) = a(x,y,L(u \ z,z,z)). a(x,y,L(z,u,u) \ u) = a(x,y,L(z \ u,u,u)). ((x * x) \ y) * a(x,x,y) = x \ (x \ y). L(L(x,y,z) \ (L(x,y,z) \ x),y,z) * (a(u,w,L(x,y,z) \ (L(x,y,z) \ x)) \ v5) = a(u,w,L(x,L(x,y,z),x)) \ ((L(x,y,z) \ 1) * v5). a(x,y,z \ ((((u \ (u \ w)) * (u * u)) \ v5) \ v6)) = a(x,y,z \ (((L(1 / w,u,u) \ 1) \ v5) \ v6)). ((a(x,y,z) \ 1) \ (a(x,y,z) \ u)) \ 1 = L(u \ 1,a(x,y,z),a(x,y,z)). L(a(x,y,z),u,w * a(v5,v5,w)) = L(a(x,y,z),u,v5 \ (v5 \ w)). a(x,(y \ 1) \ (y \ z),u) = a(x,z * a(y,y,z),u). a(x,y,z \ (u \ ((w \ (w \ v5)) * (w * w)))) = a(x,y,z \ (u \ L(v5,w,w))). a(x,y,z * (u \ ((w \ (w \ v5)) * (w * w)))) = a(x,y,z * (u \ L(v5,w,w))). a(x,y,(z * (u \ (u \ w))) \ v5) = a(x,y,(z * L(w,u,u)) \ v5). a(x,y,L(L(z,z,u \ z),w,v5)) = a(x,y,L(L(z,z,u),w,v5)). (x \ (y * z)) / z = (x \ y) * a(x,x \ y,z). (x \ y) / y = (x \ 1) * a(x,x \ 1,y). x \ (((x \ 1) \ (((x \ 1) * x) * y)) / y) = L(y,x,x \ 1) \ y. x \ ((R(y,y,x) \ ((y \ ((y * y) * x)) * z)) / z) = a(R(y,y,x),x,z). a(x,y,((z \ ((z * x) * u)) / u) \ a(z,x,u)) = a(x,y,x). x \ (((x \ (y \ L(y,z,u))) \ L(y * K(x \ 1,x),z,u)) / y) = a(x \ (y \ L(y,z,u)),x,y). (x * (L(y,z,u) \ y)) * (x \ (((x \ L(y,z,u)) \ (((x \ L(y,z,u)) * x) * (y * L(y,z,u)))) / (y * L(y,z,u)))) = (L(y,z,u) / x) \ y. a(x,y,z) \ (u \ (a(x,y,z) * (u * w))) = a(u,w,a(x,y,z)) * w. a(a(x,y,z),y,y) \ ((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) = y. T((x * y) * ((x / (y \ 1)) \ 1),x * y) = a(x,y,y). x * (a(x \ y,x,x) / x) = a(y,x \ 1,x). x * ((L(R(x,y,z),u,w) * (R(x,y,z) \ x)) \ x) = L(x \ L(x,u,w),y,z) \ x. (a(x,y,z) * ((x * y) \ ((x * (y * z)) / z))) * (((x * (y * z)) \ (z * (x * y))) \ 1) = (x * y) \ (z \ (x * (y * z))). L(1 / a(x,y,z),z,u * z) = 1 / (L(a(x,y,z) \ 1,z,u) \ 1). L(1 / a(x,y,z),z,z \ u) = L(a(x,y,z) \ 1,z,u). (x * (((y \ z) / z) * y)) \ ((x / (y \ z)) * (L(1 / (y \ z),y,z \ (y \ z)) \ 1)) = a(y \ z,(y \ z) \ L(y \ z,y,z \ (y \ z)),x). L(x * L(x,y,z),x,z * y) \ (x * L(x,y,z)) = a(z * y,x,a(x,y,z)). a(x,y,(z \ (u \ w)) * ((u * z) \ w)) = a(x,y,a(w \ (u * z),z,u)). a(x,y,a(R(z,u,u),z * u,z * u)) = a(x,y,a(u,z * u,L(z,u,u))). L(a(x,y,a(z,u,w)) \ y,x,a(z \ 1,u,w)) = L(y,a(z \ 1,u,w),x). R(x,L(y,z,u) \ y,T(w,x)) = L(x,L(y,z,u) \ y,w). L(x \ L(x,y,z),x \ L(x,y,z),u) * u = (L(x,y,z) \ x) \ u. a(x,y,z) * a(u,u,a(x,y,z)) = u \ ((1 / u) \ a(x,y,z)). a(x,x,a(y,z,u)) * a(y,z,u) = x \ ((1 / x) \ a(y,z,u)). ((x \ L(x,y,z)) / u) \ 1 = (L(x,y,z) / u) \ x. 1 \ (a(x,y,z) * (u \ (w * (a(x,y,z) \ 1)))) = (a(x,y,z) \ 1) * (u \ (w * a(x,y,z))). (x * (L(x,y,y) \ z)) \ (a(y,y,x) * z) = x \ ((z / L(x,y,y)) \ (z * a(y,y,x))). ((x \ 1) * (y \ L(y,z,u))) * a(x,x,y * L(y,z,u)) = x \ (y * L(y \ 1,z,u)). (a(x,x,y) \ ((a(x,x,y) * x) * z)) \ (x * z) = a(z,x,a(x,x,y)). a(x,y,a(z * u,w,v5)) = a(x,y,a(u * z,w,v5)). L(L(x \ L(x,y,z),u,w) * a(L(x,u,w),L(x \ L(x,y,z),u,w),v5),v5,L(x,u,w)) = v5 \ ((v5 / R(x,u,w)) * L(R(x,u,w),y,z)). a(L(x,y,z),u,L(x,w,v5)) = u \ (u * a(x,u,x)). ((a(x,x,y) \ 1) \ (z / y)) * L(y,x,x) = z * a(y,a(y,x,x),z). (L(x,y,z) \ u) * a(x,x \ L(x,y,z),u) = T((x \ L(x,y,z)) \ (u / x),x). a(x,y,a(z,u * z,u * z)) = a(x,y,a(u,u * z,u * z)). a(x,y,a(R(z,u,u),R(z,u,u) * L(u,u,z),R(z,u,u) * L(u,u,z))) = a(x,y,a(z * u,R(z,u,u) * L(u,u,z),L(u,u,z))). a(x,y,z \ (u * ((w * (v5 / v6)) * v7))) = a(x,y,z \ (u * ((w * (v6 \ v5)) * v7))). L(x,y * a(z,y,y),(y * a(z,y,y)) \ L(y * a(z,y,y),y,z)) = L(x,a(z,y,y) \ y,a(z,y,y)). R(x,y,z) \ R(R(x,u,w),y,z) = L(x,y,z) \ R(L(x,y,z),u,w). x \ (y \ (z \ ((z * y) * x))) = L(x,y,z) \ x. x \ (y \ ((y * x) * z)) = L(1 / z,x,y) \ 1. x \ (y \ ((y * x) * (z \ L(z,u,w)))) = L(L(z,u,w) \ z,x,y) \ 1. x \ (y \ ((y * x) * a(z,u,w))) = L(a(z,u,w) \ 1,x,y) \ 1. a(x,y,a(z,x,y)) * a(z,x,y) = L(y,x,z) \ y. L(a(x,y,z),z,u) \ a(x,y,z) = a(u,z,a(x,y,z)). R(x,y,L(L(z \ 1,u,w),u,w)) = R(x,y,z). a(x,y,(z * u) \ (u * (z * L(w,z,u)))) = a(x,y,w). L(a(x,x,L(y,z,u)),z,u) = a(x,x,y). x * (y * (L(z * (L(z,u,w) \ z),u,w) * L((z * (L(z,u,w) \ z)) \ 1,u,w))) = (x * y) * (z * L(L(z \ 1,u,w),u,w)). L((x * (L(x,y,z) \ x)) \ L(x * (L(x,y,z) \ x),u,w),y,z) = x \ L(x,u,w). L(x * L(L(x \ 1,y,z),y,z),u,w) = L(x * (L(x,y,z) \ x),y,z) * L((x * (L(x,y,z) \ x)) \ 1,y,z). x \ ((y * (L(y,z,u) \ y)) * (L(y * (L(y,z,u) \ y),z,u) \ x)) = L(L(y,z,u) \ y,y,x). x * (y * (L(y,x,z) \ y)) = (x * y) * a(z,x,y). (x \ y) * (L(z * (L(z,u,w) \ z),u,w) * L((z * (L(z,u,w) \ z)) \ 1,u,w)) = x \ ((z * L(L(z \ 1,u,w),u,w)) * y). L(x \ L(x,y,z),x,u) \ (x \ L(x,y,z)) = u \ L(u,x,x \ L(x,y,z)). (1 / x) \ (L(y,z,x) \ y) = y * (L(y,z,x) \ x). (x * y) * (L(y,z,x) \ y) = y * (L(y,z,x) \ (x * y)). ((x * (L(x,y,z) \ z)) * u) / (u * (L(x,y,z) \ x)) = R(z * 1,L(x,y,z) \ x,u). x \ T(T(x,y) / y,T(y \ 1,x)) = (y \ (y \ x)) / (y \ x). L(x,x,a(y,y,z)) \ a(z,y,y) = (x \ 1) * a(z,y,y). (x * a(y,z,z)) \ (L(x,z,y) * a(y,z,z)) = x * L(x \ 1,z,y). a(x,y,z * (u * L((w * v5) \ 1,v6,v7))) = a(x,y,z * (u * L((v5 \ 1) * w,v6,v7))). a(x,y,a((z * z) \ u,u,w)) = a(x,y,a(w,(z * z) \ u,u)). a(x,y,a(z,u * (w * w),v5)) = a(x,y,a(z,T(u,w * w),v5)). a(x,y,a(z,L(u \ w,u,u),v5)) = a(x,y,a(z,u * w,v5)). a(x,y,a(z,T(u * (w * (v5 \ 1)),v5 * v5),v6)) = a(x,y,a(z,u * (w * v5),v6)). a(x,y,a(z,u * (w * u),v5)) = a(x,y,a(z,L(w,u,u),v5)). a(x,y,a(z,((u \ 1) \ w) \ v5,v6)) = a(x,y,a(z,(u \ w) \ v5,v6)). a(x,y,a((z * z) \ u,u,L(w,v5,(z * z) \ u))) = a(x,y,a((z * z) \ u,(z * z) \ u,w)). a(x,y,L(L((z \ 1) \ (u \ w),z,u),v5,v6)) = a(x,y,L((u * T(z \ 1,v7)) \ w,v5,v6)). a(x,y,L(z,u * ((w * w) \ (v5 * ((w * w) \ u))),v6)) = a(x,y,L(z,L(v5,u / (w * w),u / (w * w)),v6)). a(x,y,L(z,L(R(u,u,w),(u * u) \ w,(u * u) \ w),v5)) = a(x,y,L(z,w * ((u * u) \ (u \ w)),v5)). a(x,y,L(z,L(L(u,u,w),R(w,u,u),R(w,u,u)),v5)) = a(x,y,L(z,w * (u * R(w,u,u)),v5)). a(x,y,L(z,u \ w,w * u)) = a(x,y,L(z,u * w,u \ w)). x \ a(x \ 1,x,y) = R(x \ 1,x,y). x * R(x \ 1,x,y) = a(x \ 1,x,y). a(x \ y,x,y * L(y,z,u)) = a(x,x,y * L(y,z,u)). L(x,y \ L(y,z,u),u) = L(x,u,y \ L(y,z,u)). L(x,L(y,z,u) \ y,y \ 1) = L(x,y \ 1,L(y,z,u) \ y). L(L(x,y,z) \ x,x,z * y) = a(z,y,y \ (z \ ((z * y) * x))). x \ (y \ (L(L(y,z,u),w,v5) \ ((y * L(L(y,w,v5),z,u)) * x))) = L(x,y,L(L(y,z,u),w,v5)) \ x. L(1 / x,y,y \ 1) \ 1 = y \ ((1 / y) \ x). 1 / (x \ ((1 / x) \ y)) = L(1 / y,x,x \ 1). L(1 / x,y \ 1,y) \ 1 = (y \ 1) \ (y \ x). L(1 / L(x,y,z),z,y) \ 1 = z \ (y \ (z * (T(y,z) * x))). x \ (y \ ((z \ L(z,u,w)) * (y * x))) = L(L(z,u,w) \ z,x,y) \ 1. x \ (x \ (y * L(y \ (x * x),z,u))) = L(L(y,z,u) \ y,x,x) \ 1. a(x,y,z) * a(u,z,a(x,y,z)) = L(a(x,y,z) \ 1,z,u) \ 1. a(x,y,z) * a(y,z,a(x,y,z)) = L(z,y,x) \ z. a(x,y,z) \ (L(z,y,x) \ z) = a(y,z,a(x,y,z)). a(x \ y,x,a(z,u,x)) = a(y,x,a(z,u,x)). a(x,y,z) * (L(a(x,y,z),z,u) \ u) = u * a(u,z,a(x,y,z)). a(x,y,z) \ a(u,z,a(x,y,z)) = L(a(x,y,z),z,u) \ 1. L(1 / L(x,y,z),u,w) \ 1 = L(L(1 / x,u,w) \ 1,y,z). L(x \ L(x,y,z),u,z) = x \ L(x,y,z). L(x,y,z) \ (L(x,u,z) \ x) = L(L(x,y,z),u,z) \ 1. a(x,y,L(z \ (L(L(u,w,v5),w,v5) \ 1),v6,v7)) = a(x,y,L(z \ u,v6,v7)). (x * (L(L(x,y,z),y,z) \ 1)) \ u = u * (L(x,y,z) * L(x \ 1,y,z)). L(x * y,y,x) = 1 / (y \ (x \ 1)). a(L(x * y,y,x),z,u) = a((y \ (x \ 1)) \ 1,z,u). a(x,y,L(z * u,u,z)) = a(x,y,u \ (z \ 1)). (1 / L(x * y,y,x)) * L(L(x * y,y,x),z,u) = L(L(x * y,y,x),z,u) * (y \ (x \ 1)). x * (y * (L(a(z,u,w),y,x) \ 1)) = (a(z,u,w) \ 1) * (x * y). (K(x,(((x \ 1) * x) \ y) \ 1) / x) * (((((x \ 1) * x) \ y) \ 1) * x) = (x \ ((x \ 1) \ y)) \ 1. T(((x * y) \ x) \ 1,y * x) = (x \ (y \ x)) \ 1. ((x \ (y \ z)) \ 1) * R(L(((y * x) \ z) \ 1,x,y) \ 1,u,w) = L((((y * x) \ z) \ 1) * R((((y * x) \ z) \ 1) \ 1,u,w),x,y). L(a(x,y,z) \ 1,x,y * z) = R(x,y,z) \ x. L(a(x,y,z) \ 1,x,z * y) = R(x,y,z) \ x. (L(x,y,z) \ 1) \ ((x \ 1) * u) = (u / (L(x,y,z) \ 1)) * (x \ 1). (1 / L(x,y,z)) * (x * ((L(1 / x,y,z) \ 1) \ u)) = L(1 / L(x,y,z),y,z) * u. (x / L(y,z,u)) * L(L(y,z,u),z,u) = y * ((L(1 / y,z,u) \ 1) \ x). R(x,y,L(L(z,u,w),u,w)) = R(x,y,z). a(x,y,L(K(z,u) * L(w,u,z),u,z)) = a(x,y,w). a(x * y,x * y,L(y,z,x)) = a(x * y,x * y,y). x * (y * (L(z * (L(z,u,w) \ z),u,w) * L((z * (L(z,u,w) \ z)) \ 1,u,w))) = (x * y) * (z \ L(L(z,u,w),u,w)). L(x \ L(L(x,y,z),y,z),u,w) = L(x * (L(x,y,z) \ x),y,z) * L((x * (L(x,y,z) \ x)) \ 1,y,z). L(L(x,y,z) \ x,x,y) = a(z,y,x). L(L(x * y,z,u) \ (x * y),y * x,z) = a(u,z,x * y). L(L(L(L(x,y,z),u,w),x,v5) \ L(L(x,y,z),u,w),x,L(L(x,y,z),u,w)) = a(v5,x,L(L(x,y,z),u,w)). L(x,L(x,y,z),u) \ x = a(u,L(x,y,z),x). a(x,y,L(z \ L(L(u,w,v5),w,v5),v6,v7)) = a(x,y,L(z \ u,v6,v7)). x * (L(y,z,u) * L(y \ 1,z,u)) = (L(L(y,z,u),z,u) \ y) \ x. L((a(x,y,z) \ 1) * u,u,a(x,y,z)) = 1 / (u \ ((a(x,y,z) \ 1) \ 1)). L(L(x * y,y,x),z,u) * (y \ (x \ 1)) = (y \ (x \ 1)) * L((y \ (x \ 1)) \ 1,z,u). (x * y) \ L(x * y,y,x) = a(x,y,y \ x) \ 1. a(x,y,L(z * u,u,z)) = a(x,y,u \ z). a(x,y,z \ ((u \ ((w \ (v5 \ w)) \ 1)) * v6)) = a(x,y,z \ (v6 * (u \ (((w * v5) \ w) \ 1)))). (K(x,(K(x \ 1,x) \ y) \ 1) / x) * (((((x \ 1) * x) \ y) \ 1) * x) = (x \ ((x \ 1) \ y)) \ 1. L((((x * y) \ z) \ 1) * R((((x * y) \ z) \ 1) \ 1,u,w),y,x) = ((y \ (x \ z)) \ 1) * R(((y \ (x \ z)) \ 1) \ 1,u,w). (L(x,y,z) \ 1) \ ((x \ 1) * u) = x * ((L(1 / x,y,z) \ 1) \ u). L(L(x,y,z),y,z) * (L(x,y,z) \ u) = x * ((L(1 / x,y,z) \ 1) \ u). (L(x,y,z) \ (L(1 / x,y,z) \ 1)) * u = (L(x,y,z) * L(x \ 1,y,z)) \ u. x * (L(y,z,u) \ (L(1 / y,z,u) \ 1)) = (L(y,z,u) * L(y \ 1,z,u)) \ x. (L(x,y,z) * L(x \ 1,y,z)) \ u = u * (x * (L(L(x,y,z),y,z) \ 1)). (L(x,y,z) * L(x \ 1,y,z)) \ (u \ w) = u \ ((L(x,y,z) * L(x \ 1,y,z)) \ w). (L(x,y,z) * L(x \ 1,y,z)) \ (u * w) = u * ((L(x,y,z) * L(x \ 1,y,z)) \ w). x \ ((((L(y,z,u) * L(y \ 1,z,u)) * x) * w) / (w * (L(y,z,u) * L(y \ 1,z,u)))) = a(L(y,z,u) * L(y \ 1,z,u),x,w). (x \ y) * (L(z * (L(z,u,w) \ z),u,w) * L((z * (L(z,u,w) \ z)) \ 1,u,w)) = x \ ((z \ L(L(z,u,w),u,w)) * y). (((x * y) / x) * x) * (L(z,u,w) * L(z \ 1,u,w)) = (x * (L(z,u,w) * L(z \ 1,u,w))) * y. L(a(x,y,z),u,R(w,w,(v5 \ 1) \ v6) \ (v5 \ v6)) = L(a(x,y,z),u,((v5 \ 1) \ v6) * w). a(x,y,z) * a(z,a(x,y,z),u) = L(a(x,y,z),z,u). a(x,y,z) \ L(a(x,y,z),z,u) = a(z,a(x,y,z),u). ((x \ 1) * (L(x \ 1,y,z) \ (x \ 1))) * u = (x \ 1) * ((u / x) * (L(1 / x,y,z) \ 1)). L(x,y * (z * z),a(u,w,v5)) = R(x,y,a(u,w,v5)). L(x,y,z) * ((a(x,u,w) * (x \ L(x,y,z))) \ L(x,y,z)) = (x \ a(x,u,w)) \ L(x,y,z). L((x \ L(x,y,z)) / u,u,x \ L(x,y,z)) = 1 / (u * (L(x,y,z) \ x)). L(x,y,L(z,u,w) \ z) = L(x,y,z \ L(z,u,w)). L(L(x,y,z) \ u,L(x,y,z),x \ L(x,y,z)) = x \ (u * (L(x,y,z) \ x)). L(x,L(y,z,u),y \ L(y,z,u)) * y = (x * L(y,z,u)) * (L(y,z,u) \ y). ((x * (L(y,z,u) \ y)) / (1 / L(y,z,u))) * (1 / y) = (1 / y) * L((1 / y) \ x,1 / y,y \ L(y,z,u)). ((x * (L(x,y,z) \ z)) * u) \ ((z * (L(x,y,z) \ x)) * L(u,z,x \ L(x,y,z))) = a(u,z,L(x,y,z) \ x). (((x \ 1) * (x * y)) \ 1) \ L(y \ 1,y * (((x \ 1) * (x * y)) \ 1),a(y,x,x)) = (y * (((x \ 1) * (x * y)) \ 1)) \ 1. L(x,L(y,z,u),y \ L(y,w,v5)) = L(x,y \ L(y,w,v5),L(y,z,u)). L(x,L(y,z,u) \ y,L(y,z,u) \ y) = L(x,y \ L(y,z,u),y * L(y,z,u)). (x \ L(x,y,z)) \ L(u,x \ L(x,y,z),x * L(x,y,z)) = u * (L(x,y,z) \ x). L(x,y \ L(y,z,u),w \ 1) = L(x,y \ L(y,z,u),w). L(x \ L(x,y \ L(y,z,u),w),x,(y * L(y,z,u)) * w) = a(x,y \ L(y,z,u),w). L(x,L(L(y,z,u),w,v5) \ L(L(L(y,z,u),w,v5),v6,v7),v8) = R(x,L(L(y \ L(y,v6,v7),z,u),w,v5),v8). (x \ 1) * (L(L(x,y,z) \ x,x,u) * u) = (L(x,y,z) \ 1) * u. (x * y) * (L(x * y,z,u) \ w) = (y * x) * (L(y * x,z,u) \ w). L(L(x \ L(x,y,z),u,w),L(x \ 1,u,w),v5) \ v5 = L(x \ 1,u,w) * (L(L(x \ 1,u,w),y,z) \ v5). (1 / (x \ y)) * (y \ x) = y \ (x * (y \ x)). x * ((x \ y) / y) = a(x,x \ 1,y). x \ (((x \ 1) \ (K(x \ 1,x) * y)) / y) = L(y,x,x \ 1) \ y. x \ ((R(y,y,x) \ ((y \ ((y * y) * x)) * z)) / z) = a(L(y,y,x),x,z). a(x,y,(z \ (u \ ((u * x) * z))) \ a(u,x,z)) = a(x,y,x). x \ ((((x \ (y \ L(y,z,u))) \ L(y,z,u)) * K(x \ 1,x)) / y) = a(x \ (y \ L(y,z,u)),x,y). (x * (L(y,z,u) \ y)) * (x \ (((L(y,z,u) / x) \ (y * (L(y,z,u) * L(y,z,u)))) / (y * L(y,z,u)))) = (L(y,z,u) / x) \ y. R(a(x,y,a(z,u,w)) \ 1,a(x,y,a(z,u,w)),y) = y / (a(z,u,w) \ (x \ (a(z,u,w) * (x * y)))). ((x \ 1) \ y) / (a(z,u,w) \ (v5 \ (a(z,u,w) * (v5 * ((x \ 1) \ y))))) = (x \ y) / (a(v5,(x \ 1) \ y,a(z,u,w)) * (x \ y)). ((((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) / a(a(x,y,z),y,y))) / ((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1)) * a(a(x,y,z),y,y) = T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y). (a(a(x,y,z),y,y) \ (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * u)) / u = y * a(a(a(x,y,z),y,y),a(a(x,y,z),y,y) \ ((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1),u). a(x,y,a(z,y,y)) * ((L(1 / y,y,z) \ 1) * x) = y * (x * a(z,y,y)). L(x,y,z) * (L(u,w,v5) * L(u \ 1,w,v5)) = L(x * (L(u,w,v5) * L(u \ 1,w,v5)),y,z). x * (L(x,y,z) \ L(T(L(x,y,z) \ x,x),u,w)) = (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w). L(x,y * L(T(z,u),u,u),w) = L(x,y * ((z * u) * (u \ 1)),w). a(x,y * ((y * z) \ z),u) = a(x,a(y,y,z),u). ((R(x,y,y) \ x) * L(y,y,x)) \ L((R(x,y,y) \ x) * L(y,y,x),z,u) = L(y \ L(y,z,u),R(x,y,y) \ x,R(x,y,y) \ x). a(x,y,(z \ x) * (x \ z)) = 1. L((x \ y) * (y \ x),z,y) = (x \ y) * (y \ x). T(x,K(K(y,z),u)) != w | x = w. ((R(x,y,y) \ x) * L(y,y,x)) \ L((R(x,y,y) \ x) * L(y,y,x),z,u) = L(y \ L(y,z,u),R(x,y,y) \ x,a(y,y,x)). a(x,y,y) \ T(x,y) = y \ (x / (y \ 1)). T(a(x,y,y) \ x,y) = y \ (x / (y \ 1)). a(x,y,z \ (u \ (a(w,v5,v5) \ w))) = a(x,y,z \ (u \ (v5 \ (w / (v5 \ 1))))). T(a(x,L(y,z,u),L(y,z,u)) \ x,y) = L(y,z,u) \ (x / (L(y,z,u) \ 1)). T(a(x,R(y,z,u),R(y,z,u)) \ x,R(y,z,u)) = K(y,w) * (R(T(y,w),z,u) \ (x / (R(y,z,u) \ 1))). a(x,y,z \ (u \ (a(w,v5,v5) \ w))) = a(x,y,z \ (u \ (v5 \ ((v5 \ 1) \ w)))). x * ((y \ x) * (x \ y)) = y / ((y \ x) \ 1). T(a(x,R(y,z,u),L(y,z,u)) \ x,R(y,z,u)) = K(y,w) * (R(T(y,w),z,u) \ (x / (R(y,z,u) \ 1))). a(x,y,z \ (u \ (w \ a(w,v5,v5)))) = a(x,y,z \ (u \ (v5 \ ((v5 \ 1) \ w)))). ((R(x,y,y) \ x) * L(y,y,x)) \ L((R(x,y,y) \ x) * L(y,y,x),z,u) = y \ L(y,z,u). ((x \ y) * (y \ x)) * y = x / ((x \ y) \ 1). L(x,((y \ z) * y) \ (z / ((z \ y) \ 1)),u) = L(x,L(z \ y,y \ z,y),u). x * ((R(x,y,z) \ a(x,y,z)) * (x \ L(x,u,w))) = L(x,u,w) * (R(x,y,z) \ a(x,y,z)). L(x,y \ (a(L(z,u,w),u,w) \ u),v5) = L(x,y \ (z * (R(z,u,w) \ u)),v5). x * L(y \ L(y,y,z),u,w) = x * (a(z,y,L(y,u,w)) \ 1). x \ (y \ ((y * (x * (L(z,u,w) \ z))) / (L(z,u,w) \ z))) = x \ (y \ ((y * (x * (z * L(z,u,w)))) / (z * L(z,u,w)))). L(a(x,y,z * R(z,u,w)) \ y,x,z \ L(z,u,w)) = L(y,z \ R(z,u,w),x). L(a(x,y,z) \ y,x,z * K(x * y,z)) = K(z,y * x) * ((z * x) \ (x * (y * z))). a(x * a(y,y \ 1,x),z,u) = a(L(x,y,y),z,u). L(L(x,y,z) \ (L(x,y,z) \ x),y,z) * (a(u,w,L(x,y,z) \ (L(x,y,z) \ x)) \ v5) = a(u,w,x) \ ((L(x,y,z) \ 1) * v5). (x * y) \ a(x,y,y) = (x / (y \ 1)) \ 1. R(x,y,z) \ (L(x \ L(x,u,w),y,z) \ x) = L(R(x,y,z),u,w) \ x. L(1 / a(x,y,z),z,u * z) = L(a(x,y,z) \ 1,z,u). L(a(x,y,z),z,L(u,u,z)) = L(a(x,y,z),z,u \ z). L(a(x,y,z) \ 1,z,z \ u) = L(a(x,y,z) \ 1,z,u). a(x,x,L(y,z,u)) * (y \ L(L(y,x,x),x,x)) = L(a(x,x,y),z,u) \ 1. (a(x,x,y \ (z \ ((z * (y * u)) / u))) * a(x,x,y \ (z \ ((z * (y * u)) / u)))) \ w = w * ((y \ (z \ ((z * (y * u)) / u))) \ L(L(L(u \ L(u,y,z),x,x),u,z * y),x,x)). a(x,y,a(z,u,w)) \ y = a(a(z,u,w),y,x) * y. x \ (a(y,x,a(x,z,u)) \ x) = a(x,a(x,z,u),y). a(x,y,a(z,u,w)) \ y = y * a(a(z,u,w),y,x). a(x,a(y,z,x),u) \ 1 = a(u,x,a(y,z,x)). (a(x,y,z) \ 1) * ((u * (a(x,y,z) \ 1)) \ w) = a(x,y,z) * ((u * a(x,y,z)) \ w). R(x,a(y,z,u),y) = L(x,y,a(y,z,u)). R(x,a(y,z,u),u) = L(x,u,a(y,z,u)). L(x,a(y,z,u),w \ L(w,v5,v6)) = L(x,a(y,z,u),w * L(w,v5,v6)). L(x,L(y,z,u),a(w,v5,y)) = L(x,a(w,v5,y),L(y,z,u)). L(x,a(y,z,u),w \ 1) = R(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,w * a(y,z,u)) = a(x,a(y,z,u),w). L(L(x,a(y,y,x),z),y,y) \ (x * z) = a(y,y,x) * z. L(a(x,y,z) \ u,a(x,y,z),x * (z * y)) = (u * (x * (z * y))) / ((x * y) * T(z,y)). (x * y) \ T(a(z,u,w) * x,a(z,u,w) \ y) = (y * x) \ (a(z,u,w) * x). T(x * (K(y,x) * a(z,u,w)),y * x) = L(a(z,u,w) * x,(a(z,u,w) * x) \ (y * x),a(z,u,w) * x). (L(a(x,y,z) \ 1,u,w) * w) * a(u,w,L(a(x,y,z),u,w)) = u \ ((u * (a(x,y,z) \ 1)) * w). (x * a(y,z,u)) \ T((a(y,z,u) * x) * T(w,x),v5) = x \ T(w * x,v5). (L(a(x,y,z),u,w) * v5) * T(v6,v5) = v6 * (v5 * L(a(x,y,z),u,w)). R(x,L(y,z,u) \ y,w) = L(x,L(y,z,u) \ y,w). a(x,y,z \ ((((u \ (u \ w)) * (u * u)) \ v5) \ v6)) = a(x,y,z \ ((L(1 / w,u,u) \ v5) \ v6)). L((a(x,y,z) * u) \ 1,a(x,y,z),a(x,y,z)) = ((a(x,y,z) \ 1) \ u) \ 1. L(a(x,y,z),u,w \ (w \ v5)) = L(a(x,y,z),u,L(v5,w,w)). a(x,y,z \ ((u \ (w \ (w \ v5))) * (w * w))) = a(x,y,z \ (u \ L(v5,w,w))). a(x,y,z * ((u \ (w \ (w \ v5))) * (w * w))) = a(x,y,z * (u \ L(v5,w,w))). a(x,y,(z * L(u,z,z)) \ w) = a(x,y,(z \ u) \ w). R(T(x,y),x \ y,x) = (x \ (a(z,u,w) \ y)) \ (a(z,u,w) \ y). (x / y) \ (x * (1 / y)) = a(x,y \ 1,y). a(x,y,z) \ (u \ (((a(w,v5,a(x,y,z) \ 1) \ v5) * w) * a(x,y,z))) = (a(x,y,z) \ 1) \ (u \ (w * (T(v5,w) * (a(x,y,z) \ 1)))). (x \ 1) * (x \ ((1 / x) \ a(y,z,u))) = x \ (1 * a(y,z,u)). 1 / ((L(x,y,z) / u) \ x) = (x \ L(x,y,z)) / u. (x * (L(x,y,y) \ z)) \ (z * a(y,y,x)) = x \ ((z / L(x,y,y)) \ (z * a(y,y,x))). ((x \ 1) * (y \ L(y,z,u))) * a(x,x,y * L(y,z,u)) = x \ (y \ L(y,z,u)). (a(x,x,y) \ (R(x,x,y) * z)) \ (x * z) = a(z,x,a(x,x,y)). (L(x,y,z) * u) \ ((L(x,y,z) * L(x \ L(x,w,v5),y,z)) * T(u,x \ L(x,w,v5))) = u \ ((u / R(x,y,z)) * L(R(x,y,z),w,v5)). a(L(x,y,z),u,L(x,w,v5)) = a(x,u,x). a(x,a(x,y,y),z) * z = ((a(y,y,x) \ 1) \ (z / x)) * L(x,y,y). (L(x,y,z) \ u) * a(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) \ (x \ u). a(x,y,a(R(z,u,u),R(z,u,u) * L(u,u,z),R(z,u,u) * L(u,u,z))) = a(x,y,a(z * u,z * u,L(u,u,z))). L(x,y * a(z,y,y),(y * a(z,y,y)) \ y) = L(x,a(z,y,y) \ y,a(z,y,y)). (x * (L(y,z,u) \ R(L(y,z,u),w,v5))) / x = R(y,z,u) \ R(R(y,z,u),w,v5). (x * y) \ L(x * y,z,x) = y \ (x * L(x \ y,z,x)). L(x,y,z) * (x \ L(x,u,z)) = L(L(x,y,z),u,z). (x \ L(x,y,z)) * (z * u) = z * (u * (x \ L(x,y,z))). (L(L(x,y,z),u,z) \ 1) * L(x,y,z) = (L(x,u,z) \ 1) * x. L(x \ L(x,y,z),x,u) \ (x \ L(x,y,z)) = a(u,x,x * L(x,y,z)). ((x * (L(x,y,z) \ z)) * u) / (u * (L(x,y,z) \ x)) = R(z,L(x,y,z) \ x,u). L(L(x,y,z) \ x,x,y * z) = a(z,y,y \ (z \ ((z * y) * x))). (L(x,y,y \ 1) \ 1) * ((x \ 1) \ z) = (z / x) * (y \ ((1 / y) \ x)). x * a(y,y \ 1,x) = (y \ 1) \ (y \ x). L(L(1 / x,y,z) \ 1,z,y) = y \ (z \ (y * (T(z,y) * x))). L(L(x,y,z) \ x,u,u) \ 1 = u \ ((x / u) \ L(x,y,z)). x * (L(a(y,z,x) \ 1,x,x * a(y,z,x)) \ 1) = R(x * a(y,z,x),a(y,z,x),x). L(a(x,y,z) \ 1,z,y) \ 1 = L(z,y,x) \ z. L(x,y,z) \ (a(z,y,x) \ x) = a(y,x,a(z,y,x)). a(x \ y,x,a(z,z,x)) = a(y,x,a(x,z,z)). R(x,y,z) * (y * L(L(z,u,w),u,w)) = (x * y) * L(L(z,u,w),u,w). a(x,y,L(L(z,u,w),u,w)) = a(x,y,z). x * (y * (z * L((z * (L(z,u,w) \ z)) \ 1,u,w))) = (x * y) * (z \ L(L(z,u,w),u,w)). L(x \ L(L(x,y,z),y,z),u,w) = x * L((x * (L(x,y,z) \ x)) \ 1,y,z). a(x,L(y,a(y,z,u),x),a(y,z,u)) = a(x,a(y,z,u),y). L(a(x,y,z),x,u) \ a(x,y,z) = a(u,x,a(x,y,z)). L(x * L(x,y,z),x,u) \ (x * L(x,y,z)) = a(u,x,x * L(x,y,z)). L(L(x,y,z),x,u) \ L(x,y,z) = a(u,x,L(x,y,z)). L(L(L(x,y,z) \ x,u,w),x,y) = L(a(z,y,x),u,w). L(L(x,y,L(L(y,z,u),w,v5)) \ x,x,L(L(y,z,u),w,v5)) = a(y,L(L(y,z,u),w,v5),x). (x \ L(x,y,z)) * (L(x \ L(x,y,z),x,y) \ (x \ L(x,y,z))) = a(z,y,x) \ 1. a(x,y,L(z * L(z,u,w),z,u)) = a(x,y,a(w,u,z)). L(x,L(x,y,z),u) \ x = a(u,x,L(x,y,z)). L(R(x,y,z),R(x,y,z) * L(x \ L(x,u,w),y,z),v5) \ R(x,y,z) = a(v5,L(R(x,y,z),u,w),R(x,y,z)). L(L(x * y,y,x),z,u) * (y \ (x \ 1)) = y \ ((x \ 1) * L((x \ 1) \ y,z,u)). a(x,y,y \ x) = a(x,y,x * y). a(x,y,L(z * u,z,u)) = a(x,y,z \ u). a(x,y,z \ (u * (w \ (((v5 * v6) \ v5) \ 1)))) = a(x,y,z \ (u * (w \ (v5 \ (v6 \ v5))))). (K(x,y \ K(x \ 1,x)) / x) * (((((x \ 1) * x) \ y) \ 1) * x) = (x \ ((x \ 1) \ y)) \ 1. L((((x * y) \ z) \ 1) * R((((x * y) \ z) \ 1) \ 1,u,w),y,x) = (y \ (x \ z)) \ R(y \ (x \ z),u,w). (x * a(y,z,z)) \ (L(x,z,y) * a(y,z,z)) = x \ L(x,z,y). a(x,y,z * (u * L((w \ 1) * v5,v6,v7))) = a(x,y,z * (u * L(v5 * w,v6,v7))). a(x,y,a((z * z) \ u,u,w)) = a(x,y,a(w,u,u)). a(x,y,a(z,u * (w * w),v5)) = a(x,y,a(z,u,v5)). a(x,y,a(z,u * (w \ 1),v5)) = a(x,y,a(z,w * u,v5)). a(x,y,a(z,u * (w * (v5 \ 1)),v6)) = a(x,y,a(z,u * (w * v5),v6)). a(x,y,a(z,(u \ 1) \ w,v5)) = a(x,y,a(z,u \ w,v5)). a(x,y,a((z * z) \ u,u,L(w,v5,(z * z) \ u))) = a(x,y,a((z * z) \ u,u,w)). a(x,y,L(L((z \ 1) \ (u \ w),z,u),v5,v6)) = a(x,y,L((u * (z \ 1)) \ w,v5,v6)). a(x,y,L(z,u * (w * ((v5 * v5) \ ((v5 * v5) \ u))),v6)) = a(x,y,L(z,L(w,u / (v5 * v5),u / (v5 * v5)),v6)). a(x,y,L(z,L(R(u,u,w),(u * u) \ w,(u * u) \ w),v5)) = a(x,y,L(z,(u \ w) * w,v5)). a(x,y,L(z,u \ w,u * w)) = a(x,y,L(z,u * w,u \ w)). a(x,y,(z \ (R(u \ 1,u,w) * u)) * v5) = a(x,y,v5 * (z \ a(u \ 1,u,w))). a(x \ 1,x,x \ y) = ((x \ y) / y) * x. (x / (y * x)) * y = a(y \ 1,y,x). R(1 / x,x,y) * x = a(x \ 1,x,y). (a(x,y,y) \ L(y,y,x)) \ L((R(x,y,y) \ x) * L(y,y,x),z,u) = y \ L(y,z,u). L((L(x,y,z) \ x) \ u,x \ 1,L(x,y,z) \ x) = (L(x,y,z) \ 1) \ ((x \ 1) * u). ((L(x,y,z) * L(x \ 1,y,z)) \ u) / u = L(x,y,z) \ (L(1 / x,y,z) \ 1). (L(x,y,z) * L(x \ 1,y,z)) \ u = u * (L(L(x,y,z),y,z) \ x). (((L(x,y,z) * L(x \ 1,y,z)) \ u) * w) * a(L(x,y,z) * L(x \ 1,y,z),(L(x,y,z) * L(x \ 1,y,z)) \ u,w) = u * ((L(x,y,z) * L(x \ 1,y,z)) \ w). L((x * ((L(y,z,u) * L(y \ 1,z,u)) \ w)) \ v5,(L(y,z,u) * L(y \ 1,z,u)) \ (x * w),L(y,z,u) * L(y \ 1,z,u)) = (x * w) \ ((L(y,z,u) * L(y \ 1,z,u)) * v5). (x \ (((L(y,z,u) * L(y \ 1,z,u)) \ (x * w)) * v5)) / (x \ (((L(y,z,u) * L(y \ 1,z,u)) \ w) * v5)) = R(x,(L(y,z,u) * L(y \ 1,z,u)) \ w,v5). a(x,y,z * (((L(u,w,v5) * L(u \ 1,w,v5)) \ (v6 * v7)) * v8)) = a(x,y,z * (v8 * (((L(u,w,v5) * L(u \ 1,w,v5)) \ v7) * v6))). L(a(x,(L(y,z,u) * L(y \ 1,z,u)) \ 1,w),L(y,z,u) * L(y \ 1,z,u),L(y,z,u) * L(y \ 1,z,u)) = (L(y,z,u) * L(y \ 1,z,u)) * ((x \ (((L(y,z,u) * L(y \ 1,z,u)) \ (x * 1)) * w)) / w). (x \ y) * (z * L((z * (L(z,u,w) \ z)) \ 1,u,w)) = x \ ((z \ L(L(z,u,w),u,w)) * y). (x * (L(y,z,u) * L(y \ 1,z,u))) * w = (x * w) * (L(y,z,u) * L(y \ 1,z,u)). L(a(x,y,z),u,R(w,w,v5 \ v6) \ (v5 \ v6)) = L(a(x,y,z),u,((v5 \ 1) \ v6) * w). a(x,y,z) \ L(a(x,y,z),z,u) = a(z,a(x,y,z),z \ u). a(x,y,z) * L(a(x,y,z) \ 1,z,u) = a(z,a(x,y,z),u). a(x,y,z) \ a(z,a(x,y,z),u) = L(a(x,y,z) \ 1,z,u). a(x,y,a(z,u,w) \ L(a(z,u,w) \ 1,w,v5)) = a(x,y,a(w,a(z,u,w),v5)). (a(x,y,y) * (z * (x * y))) \ (a(x,y,y) * ((z * x) * y)) = a(a(x,y,y) * z,x,y). a(a(x,x,y * x),z,u) = a((x \ 1) \ (y \ (y / x)),z,u). (x \ 1) * ((y / x) * (L(1 / x,z,u) \ 1)) = (L(x,z,u) \ 1) * y. x * a(y \ 1,y,x) = y \ ((1 / y) \ x). (a(x,y,z) \ 1) * (u \ (w * a(x,y,z))) = a(x,y,z) * (u \ (w * (a(x,y,z) \ 1))). L((x \ (a(y,z,u) \ w)) \ ((a(y,z,u) * x) \ w),x \ (a(y,z,u) \ w),x * a(y,z,u)) = a(T(x,v5) \ (a(y,z,u) \ w),x,a(y,z,u)). L(x,y * (z * z),a(u,w,v5)) = L(x,y,a(u,w,v5)). L(x * a(y \ L(y,z,u),x,w),w,y \ L(y,z,u)) = L(x,L(y,z,u) \ y,w). L((1 / x) \ y,1 / x,x \ L(x,z,u)) = (1 / L(x,z,u)) \ ((L(x,z,u) \ x) * y). L((L(x,y,z) \ x) \ u,x,x \ L(x,y,z)) = (L(1 / x,y,z) \ 1) \ (x * u). (x * (L(y,z,u) \ y)) * L(w,x,y \ L(y,z,u)) = (x * w) * (L(y,z,u) \ y). (x \ L(x,y,z)) \ L(u,x \ L(x,y,z),x \ L(x,y,z)) = u * (L(x,y,z) \ x). L(L(x,y,z) \ u,L(x,y,z),x \ L(x,y,z)) = (x \ u) * (L(x,y,z) \ x). ((x * (L(y,z,u) \ y)) / (1 / L(y,z,u))) * (1 / y) = (1 / y) * L((1 / y) \ x,y \ 1,y \ L(y,z,u)). (x * (((y \ 1) * (y * x)) \ 1)) \ 1 = (((y \ 1) * (y * x)) \ 1) \ (x \ 1). (x * ((L(y,z \ L(z,u,w),L(z,v5,v6)) \ y) * v7)) / (x * v7) = L(L(y,L(z,v5,v6),z \ L(z,u,w)) \ y,v7,x). L(L(x,y \ L(y,z,u),L(y,w,v5)) \ x,x,L(y,w,v5)) = a(y \ L(y,z,u),L(y,w,v5),x). L(L(x,L(y,z,u),y \ L(y,w,v5)) \ x,x,y \ L(y,w,v5)) = a(L(y,z,u),y \ L(y,w,v5),x). L((x \ L(x,y,z)) \ u,x \ L(x,y,z),L(x,y,z)) = (x \ 1) \ ((L(x,y,z) \ 1) * u). L(x,L(L(y \ 1,z,u),w,v5) \ L(L(L(y \ 1,z,u),w,v5),v6,v7),v8) = R(x,L(L(y \ L(y,v6,v7),z,u),w,v5),v8). (x \ 1) * ((L(x,y,z) \ x) * z) = (L(x,y,z) \ 1) * z. (x / ((x \ y) \ 1)) \ L(((x \ (y * ((x \ y) \ 1))) \ 1) * y,z,u) = (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u). L(x,y \ ((z * (y / z)) / ((y \ z) \ 1)),u) = L(x,L(y \ z,z \ y,z),u). a(x,y,L(L(z,y,x),z,y)) = y \ ((z \ L(z,y,x)) \ y). K(x,y) * ((x * y) * (L(x * y,z,u) \ w)) = (x * y) * (L(y * x,z,u) \ w). (x * y) * (L(x * y,z,u) \ ((y * x) * w)) = (y * x) * ((y * x) * (L(y * x,z,u) \ w)). (L(x,y,z) \ x) * L(L(x,y,z) \ x,u,w) = x * (L(x,y,z) \ L(L(x,y,z) \ x,u,w)). L(x,y \ 1,L(y,z,u) \ y) = L(x,y,y \ L(y,z,u)). L((x \ 1) \ R(x \ 1,y,z),u,w) = L(x * R(x \ 1,y,z),u \ 1,w). L(a(x,y,z),u,(a(x,y,z) * u) \ w) \ w = (u \ 1) * ((a(x,y,z) * (u \ 1)) \ w). L(x,L(y,z \ 1,u),w) = L(x,L(y,z,u),w). L(x,y * ((z * u) * (u \ 1)),w) = L(x,y * L(z,u,u),w). a(x,a(x,y,z),y * z) * (x \ L(x,u,w)) = L(x,u,w) * (R(x,y,z) \ a(x,y,z)). a(x,y,L(y,z,u)) \ 1 = L(a(x,y,y) \ 1,z,u). a(x,y \ 1,L(y \ 1,z,u)) \ 1 = L(a(x,y \ 1,y) \ 1,z,u). K(x,y * z) * ((x * z) \ (z * (y * x))) = L(a(z,y,x) \ y,z,x). (L(x,y,z) \ 1) * (a(u,w,L(x,y,z) \ (L(x,y,z) \ x)) \ v5) = a(u,w,x) \ ((L(x,y,z) \ 1) * v5). R(x,y,(z * u) \ a(z,u,u)) = R(x,y,z / (u \ 1)). K(x,L(y \ L(y,z,u),w,v5) \ y) * (R(y,w,v5) \ T(L(y \ L(y,z,u),w,v5) \ y,T(x,R(y,w,v5)))) = L(R(y,w,v5),z,u) \ y. (L(x,y,a(z,u,L(y,w,v5))) * (a(z,u,L(y,w,v5)) * y)) \ (x * (a(z,u,L(y,w,v5)) * y)) = a(y,a(z,u,L(y,w,v5)),x). L(x,y,a(z,u,L(y,y \ w,(y \ w) \ 1))) = L(x,a(z,u,(1 / (w / y)) * w),y). L(a(x,y,z) \ 1,z,u * z) = L(a(x,y,z) \ 1,z,u). a(x,y,z * ((u * w) * (w \ u))) = a(x,y,z * a(u,w,u * w)). L(a(x,y,z) \ 1,z,z * u) = L(a(x,y,z) \ 1,z,u). L(a(x,x,y),z * z,u) \ 1 = a(x,x,y) * (y \ L(L(y,x,x),x,x)). L(a(a(x,y,z),u,w) * u,w,a(x,y,z)) = L(u,a(x,y,z),w). a(x,y,a(y,z,u)) \ 1 = a(y,a(y,z,u),x). a(x,a(y,z,u),L(u,w,v5)) \ L(u,w,v5) = L(u,w,v5) * a(a(y,z,u),L(u,w,v5),x). L(x * a(a(y,z,u),x,w),w,a(y,z,u)) = L(x,a(y,z,u),w). L(x * a(a(y,z,u),x,w),w,a(y \ 1,z,u)) = L(x,a(y \ 1,z,u),w). a(x,y,a(z,u,y)) \ 1 = a(y,a(z,u,y),x). a(x,y,a(z,u,y)) * a(y,a(z,u,y),x) = 1. (a(x,y,a(z,u,y)) \ w) * a(y,a(z,u,y),x) = w * (a(y,a(z,u,y),x) * a(y,a(z,u,y),x)). a(a(x,a(y,z,x),u),w,v5) = a(a(u,x,a(y,z,x)),w,v5). L(x,a(y,z,u),w \ 1) = L(x,a(y,z,u),w). (x \ a(x,y,z)) * R(u,a(x,y,z),x) = (x \ 1) * (a(x,y,z) * u). (x * a(y,z,u)) \ ((x * (a(y,z,u) * w)) / w) = a(w,a(y,z,u),x). (K(x,y) * (z * (x * y))) / ((z * y) * T(x,y)) = 1 / (1 / (((z * y) * x) \ (z * (x * y)))). (x * y) \ T(a(z,u,w) * x,y) = (y * x) \ (a(z,u,w) * x). L(a(x,y,z) * u,(a(x,y,z) * u) \ (w * u),a(x,y,z) * u) = L(u,w,u) * a(x,y,z). L(a(x,y,z) \ 1,u,w) * (w * a(u,w,L(a(x,y,z),u,w))) = u \ ((u * (a(x,y,z) \ 1)) * w). a(x,y,y) * ((z / y) * L(y,y,x)) = L(z,a(x,y,y),L(y,y,x)). L(x,a(y,z,z) \ z,a(u,w,z)) = L(x,a(u,w,z),L(z,z,y)). R(x,x,y) * ((y \ L(y,x,x)) * L((y \ L(y,x,x)) \ z,a(y,x,x),L(x,x,y))) = (y \ L(y,x,x)) * (R(x,x,y) * (x \ (R(x,x,y) * z))). (R(x,x,y) \ x) * (R(x,x,y) * z) = x * L(z,a(y,x,x),L(x,x,y)). a(x,y,(z * L(u,z,z)) * w) = a(x,y,(z \ u) * w). (x * a(y,z,u)) \ T(w * (x * a(y,z,u)),v5) = x \ T(w * x,v5). L(x \ L(x,L(y,z,u) \ y,w),x,w * (L(y,z,u) \ y)) = a(x,L(y,z,u) \ y,w). (x \ (a(y,z,u) \ w)) \ (a(y,z,u) \ w) = (x \ w) \ w. a(x,y,((z \ u) \ (u * (1 / z))) * w) = a(x,y,a(u,z \ 1,z) * w). a(x,y,z) \ (u \ (((a(w,v5,a(x,y,z) \ 1) \ v5) * w) * a(x,y,z))) = (a(x,y,z) \ 1) \ (u \ (w * T(v5 * (a(x,y,z) \ 1),w))). (x \ 1) * (x \ ((1 / x) \ a(y,z,u))) = x \ a(y,z,u). a(x,x \ 1,x * y) = x * (y / (x * y)). (x * ((x \ y) / y)) \ y = L(y,x \ 1,x). x * ((y \ L(y,z,u)) \ (x \ (y \ L(y,z,u)))) = a(x,x \ 1,L(y,z,u) \ y). x * R(1 / x,x,y) = a(x,x \ 1,y * x). a(x,y,z * (((u \ w) / w) * u)) = a(x,y,a(u,u \ 1,w) * z). a(x,y,z * (u \ (w * (v5 \ (w \ v5))))) = a(x,y,z * (u \ a(w,w \ 1,v5))). a(x,y,z \ (u * (((w \ v5) / v5) * w))) = a(x,y,z \ (a(w,w \ 1,v5) * u)). a(x,y,(z \ (u * (w \ (u \ w)))) * v5) = a(x,y,(z \ a(u,u \ 1,w)) * v5). a(x,x \ 1,y * x) = x * (y / (x * y)). L(x \ y,y \ (x \ y),x) = L(x \ y,x \ 1,x). x * L(1 / x,x,a(y,z,u)) = a(x,x \ 1,a(y,z,u) * x). a(x,y,z * (((u \ w) / w) * u)) = a(x,y,a(u,u,w) * z). a(x,y,z * (u \ (w \ (v5 \ (w \ v5))))) = a(x,y,z * (u \ a(w,w \ 1,v5))). a(x,y,z \ (u * ((w \ (v5 \ w)) * v5))) = a(x,y,z \ (a(v5,v5 \ 1,w) * u)). (1 / x) * ((y \ L(y,z,u)) \ ((y / x) \ L(y,z,u))) = a(1 / x,(1 / x) \ 1,L(y,z,u) \ y). (1 / x) * ((y \ L(y,z,u)) \ ((y / x) \ L(y,z,u))) = a(1 / x,x,L(y,z,u) \ y). x \ (((1 / x) \ y) / y) = L(y,x,x \ 1) \ y. a(x \ (y \ L(y,z,u)),x,y) = x \ ((((x \ 1) \ y) * K(x \ 1,x)) / y). L(a(x,y,a(z,u,w)) \ 1,a(x,y,a(z,u,w)),y) = y / (a(z,u,w) \ (x \ (a(z,u,w) * (x * y)))). ((((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * (a(a(x,y,z),y,y) \ ((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1))) / ((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1)) * a(a(x,y,z),y,y) = T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y). (a(a(x,y,z),y,y) \ (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * u)) / u = y * a(a(a(x,y,z),y,y),y,u). L((1 / x) * y,z,a(a(u,w,u) / x,x \ 1,y)) = (1 / x) * y. x \ ((y / L(x,z,z)) \ (y * a(z,z,x))) = a(y,a(z,z,x),L(x,z,z)). (x \ 1) * (a(x,x,y * L(y,z,u)) * (y \ L(y,z,u))) = x \ (y \ L(y,z,u)). (1 / x) * ((y \ L(y,z,u)) \ ((y / x) \ L(y,z,u))) = a(1 / x,x,y * L(y,z,u)). (L(x,y,z) * u) \ (L(L(x,w,v5),y,z) * T(u,x \ L(x,w,v5))) = u \ ((u / R(x,y,z)) * L(R(x,y,z),w,v5)). a(x * (L(x,y,z) \ x),u,x * (L(x,y,z) \ x)) = a(x,u,L(x * (L(x,y,z) \ x),w,v5)). a(x,y,a(R(z,u,u),R(z,u,u) * L(u,u,z),R(z,u,u) * L(u,u,z))) = a(x,y,a(z * u,z * u,u)). L(x,y * a(z,y,y),a(z,y,y) \ 1) = L(x,a(z,y,y) \ y,a(z,y,y)). (x * (L(y,z,u) \ L(R(y,w,v5),z,u))) / x = R(y,z,u) \ R(R(y,z,u),w,v5). (L(R(x,y,z),u,w) \ L(x,u,w)) \ 1 = R(x,u,w) \ R(R(x,y,z),u,w). x \ (y * L(y \ x,x \ (y \ x),y)) = (y * (x / (y * x))) \ 1. x \ (y * L(y \ x,x,y)) = a(y,x,y * x) \ 1. a(x,y,y) \ L(y,z,x) = L(L(y,z,x),y,x). L(x,y,z) * L(x,u,z) = x * L(L(x,y,z),u,z). L(x,y,z) * L(x \ 1,u,z) = x \ L(L(x,y,z),u,z). (x * (y * (z \ L(z,u,x)))) \ (((z \ L(z,u,x)) * x) * y) = a(z \ L(z,u,x),x,y). a(x,y,y * L(y,z,u)) \ (y \ L(y,z,u)) = L(y \ L(y,z,u),y,x). (x \ L(x,y,z)) \ a(u,x,x * L(x,y,z)) = L(x \ L(x,y,z),x,u) \ 1. L((x \ ((x / y) * L(y,z,u))) \ a(x,y,y * L(y,z,u)),y,x) = L(y \ L(y,z,u),y,x) \ 1. a((x \ 1) \ y,x \ 1,x) = a(y * x,x \ 1,x). ((L(x,y,z) \ x) * u) * ((1 / u) * ((L(x,y,z) \ x) \ ((1 / u) \ (L(x,y,z) \ x)))) = (L(x,y,z) \ x) / (u \ 1). a(x,y,z \ ((u * (w \ (u \ w))) \ v5)) = a(x,y,z \ (a(u,u \ 1,w) \ v5)). L(x,y \ (((y \ z) \ 1) \ (z * (y / z))),u) = L(x,L(y \ z,z \ y,z),u). a(x,y,z \ (u * ((w \ 1) \ (w \ v5)))) = a(x,y,z \ (L(v5,w \ 1,w) * u)). L(L(a(x,y,z) \ 1,u,w) \ 1,w,u) = u \ (w \ (u * (T(w,u) * a(x,y,z)))). L(L(1 / (x \ L(x,y,z)),u,w) \ 1,w,u) = u \ (w \ (u * ((x \ L(x,y,z)) * T(w,u)))). L(a(x,y,z) \ 1,z,y) = z \ L(z,y,x). a(x,y,a(z,x,y)) * L(y,x,z) = a(z,x,y) \ y. a(a(x,x,y) \ z,y,a(y,x,x)) \ z = ((z / a(x,x,y)) / y) * (y * a(x,x,y)). a(x,L(y,z,u),L(L(y,w,v5),w,v5)) = a(x,y,L(y,z,u)). a(x,y,L((z * u) \ w,u,z)) = a(x,y,u \ (z \ w)). a(x,y,z \ (u \ ((u * z) * w))) = a(x,y,L(w,z,u)). L(x,y,z) * (L(L(x,y,z),y,z) \ y) = a(z,y,x) * y. L(a(x,x,y),z,u) = a(x,x,L(y,z,u)). x * (y * (z * L(L(z \ 1,u,w),u,w))) = (x * y) * (z \ L(L(z,u,w),u,w)). L(x \ L(L(x,y,z),y,z),u,w) = x * L(L(x \ 1,y,z),y,z). a(x,L(y,a(y,z,u),x),a(y,z,u)) = a(x,y,a(y,z,u)). a(x,y,L(y,z,u)) \ L(y,z,u) = L(L(y,z,u),y,x). a(x,y,z) \ L(a(x,y,z),x,u) = a(u,x,a(x,y,z)) \ 1. a(x * y,z,z * L(z,y,x)) = a(x * y,z,a(z,y,x)). a(x,y,y * L(y,z,u)) * L(L(y,z,u) \ y,y,x) = 1 * (L(y,z,u) \ y). x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)) = a(u,x,x * L(x,y,z)) \ 1. L(1 / L(a(x,y,z),u,w),z,y) = 1 / L(L(z,y,x) \ z,u,w). L(x,y,L(L(y,z,u),w,v5)) \ x = a(y,L(L(y,z,u),w,v5),x). L(L(a(x,y,z) \ 1,u,w),z,y) = L(z \ L(z,y,x),u,w). a(x,y,L(y,z,u)) \ y = L(y,L(y,z,u),x). L(R(x,y,z),R(x,y,z) * L(x \ L(x,u,w),y,z),v5) \ R(x,y,z) = a(v5,L(R(x,y,z),u,w),L(x,y,z)). L(L(x * y,y,x),z,u) * (y \ (x \ 1)) = y \ (x * L(x \ y,z,u)). a(x,y,z \ (u * (w \ ((v5 * v6) \ v6)))) = a(x,y,z \ (u * (w \ (v6 \ (v5 \ v6))))). (K(x,y \ 1) / x) * (((((x \ 1) * x) \ y) \ 1) * x) = (x \ ((x \ 1) \ y)) \ 1. L(((x * y) \ z) \ R((x * y) \ z,u,w),y,x) = (y \ (x \ z)) \ R(y \ (x \ z),u,w). (x * a(y,z,z)) \ L(x * a(y,z,z),z,y) = x \ L(x,z,y). a(x,y,a(z,u \ 1,w)) = a(x,y,a(z,u,w)). a(x,y,a(z,u * (u \ L(u,w,v5)),v6)) = a(x,y,a(z,L(u \ 1,w,v5),v6)). a(x,y,a((z * z) \ u,u,L(w,v5,(z * z) \ u))) = a(x,y,a(w,u,u)). a(x,y,L(L(z \ (u \ w),z,u),v5,v6)) = a(x,y,L((u * (z \ 1)) \ w,v5,v6)). a(x,y,L(z,L(R(u,u,w),(u * u) \ w,w),v5)) = a(x,y,L(z,(u \ w) * w,v5)). a(x,y,L(z,u * (w * ((v5 * v5) \ ((v5 * v5) \ u))),v6)) = a(x,y,L(z,L(w,(v5 * v5) \ u,(v5 * v5) \ u),v6)). a(x,y,L(z,(u \ 1) \ w,u * w)) = a(x,y,L(z,u * w,u \ w)). x \ ((y \ 1) \ (((y \ 1) * y) * (y \ x))) = ((y \ x) / x) * y. a(x,y,z \ (L(u,w / (u * w),v5) * (v5 * (w / (u * w))))) = a(x,y,z \ (v5 * a(u \ 1,u,w))). a(x,y,(z \ (u * (w / (u * w)))) * v5) = a(x,y,v5 * (z \ a(u \ 1,u,w))). a(x,y,L(z * (u * ((u * w) \ w)),v5,v6)) = a(x,y,L(z * a(u \ 1,u,w),v5,v6)). L((x * (y / (x * y))) \ z,a(x \ 1,x,y),((y / (x * y)) * x) \ 1) = (1 / (x * (y / (x * y)))) * z. a(x,y,z \ (u * ((w \ 1) * R(1 / w,w,v5)))) = a(x,y,z \ (u * a(w \ 1,w,v5))). ((x \ L(x,y,z)) \ u) * (L(x,y,z) \ x) = u * (L(L(x,y,z),y,z) \ x). x * ((L(y,z,u) * L(y \ 1,z,u)) \ w) = (x * w) * (L(L(y,z,u),z,u) \ y). x \ ((L(y,z,u) * L(y \ 1,z,u)) \ w) = (x \ w) * (L(L(y,z,u),z,u) \ y). L((x * ((L(y,z,u) * L(y \ 1,z,u)) \ w)) \ v5,x * ((L(y,z,u) * L(y \ 1,z,u)) \ w),L(y,z,u) * L(y \ 1,z,u)) = (x * w) \ ((L(y,z,u) * L(y \ 1,z,u)) * v5). L(a(x,L(y,z,u) \ (L(1 / y,z,u) \ 1),w),L(y,z,u) * L(y \ 1,z,u),L(y,z,u) * L(y \ 1,z,u)) = (L(y,z,u) * L(y \ 1,z,u)) * ((x \ (((L(y,z,u) * L(y \ 1,z,u)) \ (x * 1)) * w)) / w). (x \ y) * (z * L(L(z \ 1,u,w),u,w)) = x \ ((z \ L(L(z,u,w),u,w)) * y). (x * (L(y,z,u) * L(y \ 1,z,u))) * w = x * (w * (L(y,z,u) * L(y \ 1,z,u))). R(R(x,y,y),y,y) \ L(R(x,y,y) * a(x,y,y),z,u) = x \ L(x,z,u). L(a(x,y,z),u,((w \ 1) \ v5) * v6) = L(a(x,y,z),u,(w \ v5) * (v6 \ 1)). L(a(x,y,z),x * (y * z),a(y,z,z)) = a(a(y,z,z) * x,y,z). a(x,a(y,z,x),x \ u) = a(x,a(y,z,x),u). a(a(x,x,y * x),z,u) = a(x * (y \ (y / x)),z,u). (x \ 1) \ ((L(x,y,z) \ 1) * u) = (u / x) * (L(1 / x,y,z) \ 1). a(x \ ((1 / x) \ y),z,u) = a(L(y,x,x \ 1),z,u). (x \ y) * (((x \ y) / y) * x) = x \ ((1 / x) \ (x \ y)). a(T(x,y) \ (a(z,u,w) \ v5),x,a(z,u,w)) = ((a(z,u,w) * x) * (x \ (a(z,u,w) \ v5))) \ v5. L(x,(y \ 1) \ z,a(u,w,v5)) = L(x,y \ z,a(u,w,v5)). L(x,(y * z) * y,a(u,w,v5)) = L(x,R(z,y,y),a(u,w,v5)). L(x,(y \ 1) * z,a(u,w,v5)) = L(x,z * y,a(u,w,v5)). L(x,y * (y * z),a(u,w,v5)) = L(x,L(z,y,y),a(u,w,v5)). L(x,(y * y) \ z,a(u,w,v5)) = L(x,z,a(u,w,v5)). L(x,y \ 1,a(z,u,w)) = L(x,y,a(z,u,w)). L(x,y \ (z \ 1),a(u,w,v5)) = L(x,y \ z,a(u,w,v5)). L(x \ L(x,y,a(z,u,w)),x,(y * (v5 * v5)) * a(z,u,w)) = a(x,y * (v5 * v5),a(z,u,w)). L(x,(y \ z) \ ((((y \ z) / y) * z) / (y \ z)),a(u,w,v5)) = L(x,((y \ z) / y) * z,a(u,w,v5)). L(x,L(L(y,z,z),z,z),a(u,w,v5)) = L(x,y,a(u,w,v5)). L(x,L(y,z,u) \ y,w) = L(x,y \ L(y,z,u),w). L((1 / x) \ y,x \ 1,x \ L(x,z,u)) = (1 / L(x,z,u)) \ ((L(x,z,u) \ x) * y). ((x * (L(x,y,z) \ z)) * u) \ ((z * u) * (L(x,y,z) \ x)) = a(u,z,L(x,y,z) \ x). ((x * y) \ z) * K(x,K(u,w)) = (T(x,K(u,w)) * y) \ z. K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). (x \ K(y,K(z,u))) * (a(w,v5,w) * v6) = K(y,K(z,u)) * ((x \ a(w,v5,w)) * v6). L(L(x,L(y,z,u),y \ L(y,w,v5)) \ x,v6,v7) = L(L(x,y \ L(y,w,v5),L(y,z,u)) \ x,v6,v7). L(x,y \ L(y,z,u),L(y,w,v5)) \ x = a(y \ L(y,z,u),L(y,w,v5),x). L(x,L(y,z,u),y \ L(y,w,v5)) \ x = a(L(y,z,u),y \ L(y,w,v5),x). (x * (L(y,z,u) \ 1)) / (y \ 1) = (y \ 1) \ ((L(y,z,u) \ 1) * x). L(x,L(L(y \ 1,z,u) \ L(L(y \ 1,z,u),w,v5),v6,v7),v8) = R(x,L(L(y \ L(y,w,v5),z,u),v6,v7),v8). (L(x,x,y) \ 1) * y = (x \ 1) * R(y,x,x). (x * y) * ((y * x) * (L(x * y,z,u) \ w)) = (y * x) * ((y * x) * (L(y * x,z,u) \ w)). L((L(x,y,z) \ x) \ u,x,x \ L(x,y,z)) = (L(x,y,z) \ 1) \ ((x \ 1) * u). L(x,y \ 1,y \ L(y,z,u)) = L(x,y,y \ L(y,z,u)). L(x * R(x \ 1,y,z),u \ 1,w) = L(x * R(x \ 1,y,z),u,w). (x \ 1) * ((a(y,z,u) * (x \ 1)) \ w) = x * ((a(y,z,u) * x) \ w). L(x,L(y \ 1,y,(y \ 1) \ z),u) = L(x,L(T(y \ 1,y),y,z),u). L(x,y * R(z,u,u),w) = L(x,y * L(z,u,u),w). L(a(x,y,y) \ 1,z,u) \ 1 = a(x,y,L(y,z,u)). (x \ L(a(y,x,x) \ 1,z,u)) * x = (x \ 1) * (a(y,x,L(x,z,u)) \ x). L(a(x,y * z,y * z) \ 1,z,y) = a(x,y * z,z \ y) \ 1. a(x,y \ 1,L(y,z,u)) \ 1 = L(a(x,y \ 1,y) \ 1,z,u). K(x,L(a(y,z,u) \ 1,w,v5) * v6) * ((x * L(a(y,z,u) \ 1,w,v5)) \ (L(a(y,z,u) \ 1,w,v5) * (v6 * x))) = L(a(L(a(y,z,u) \ 1,w,v5),v6,x) \ v6,L(a(y,z,u) \ 1,w,v5),x). K(L(a(x,y,z) \ 1,u,w),v5 * v6) * ((L(a(x,y,z) \ 1,u,w) * v6) \ (v6 * (L(a(x,y,z) \ 1,u,w) * v5))) = L(a(v6,v5,L(a(x,y,z) \ 1,u,w)) \ v5,v6,L(a(x,y,z) \ 1,u,w)). a(x,y,L(L(a(z,u,w) \ u,z,w),v5,v6)) = a(x,y,L((w * z) \ (z * (u * w)),v5,v6)). (L(x,y,z) \ 1) * (a(u,w,L(x,L(x,y,z),L(x,y,z))) \ v5) = a(u,w,x) \ ((L(x,y,z) \ 1) * v5). T(a(x,L(y,z,u),L(y,z,u)) \ x,R(y,z,u)) = K(y,w) * (R(T(y,w),z,u) \ (x / (R(y,z,u) \ 1))). a(x,y,z \ (u \ (w \ ((w \ 1) \ v5)))) = a(x,y,z \ (u \ (v5 * a(v5,w,w)))). R(x,y,(z * u) \ a(z,u,u)) = R(x,y,(u \ 1) \ z). x \ (L(a(y,z,x \ u) \ 1,x \ u,x * (x \ u)) * u) = (x \ u) * T(a(y,z,x \ u) \ 1,u). x * (L(a(y,z,x) \ 1,x,a(y,z,x)) \ 1) = R(x * a(y,z,x),a(y,z,x),x). L(a(x,x,y \ L(y,z,u)),w * w,v5) \ 1 = a(x,x,y * L(y,z,u)) * ((y \ L(y,z,u)) \ L(L(y \ L(y,z,u),x,x),x,x)). L(x,y,a(z,u,L(y,y \ w,(y \ w) \ 1))) = L(x,a(z,u,(w / y) * w),y). a(a(x,y,L(z,u,w)),z,v5) = a(z,a(x,y,L(z,u,w)),v5). a(a(x,y,z),L(z,u,w),v5) * L(z,u,w) = L(L(z,u,w),a(x,y,z),v5). a(a(x,y,z),z,u) * z = L(z,a(x,y,z),u). a(x,a(x,y,z),u) \ 1 = a(u,x,a(x,y,z)). x * a(a(x,y,z),x,u) = L(x,a(x,y,z),u). L(x,y,a(z,u,w)) * a(a(z,u,w),L(x,y,a(z,u,w)),y) = L(x,a(z,u,w),y). L(x * a(y \ (z * (L(z,y,u) \ y)),x,w),w,a(u,y,L(z,y,u))) = L(x,a(u,y,L(z,y,u)),w). a(x,a(y,z,u),L(u,w,v5)) \ 1 = a(a(y,z,u),L(u,w,v5),x). L(x * a(a(y,z,u),x,w),w,a(y,z,u)) = L(x,a(y \ 1,z,u),w). a(x * y,a(x,y,x * y),z) = a(z,x * y,a(x,y,y)) \ 1. a(x,y,a(z,u,y)) \ x = a(y,a(z,u,y),x) * x. a(x \ y,a(y,x,x \ y),z) = a(z,x \ y,a(y,x,x)) \ 1. a(x * y,a(y,y,x * y),z) = a(z,x * y,a(x,y,y)) \ 1. a(x,y,a(z,u,y)) \ L(w,a(y,a(z,u,y),x),a(y,a(z,u,y),x)) = w * a(y,a(z,u,y),x). (x \ a(x,y,z)) * L(u,x,a(x,y,z)) = (x \ 1) * (a(x,y,z) * u). a(x * (y * y),a(z,u,w),v5) = (v5 * a(z,u,w)) \ ((v5 * (a(z,u,w) * x)) / x). (x * a(y,z,u)) \ ((x * (a(y,z,u) * w)) / w) = a(w \ 1,a(y,z,u),x). (x * a(y,z,u)) \ ((x * (a(y,z,u) * (w * v5))) / (w * v5)) = a(w * (v5 \ 1),a(y,z,u),x). K(x,y) * ((z * (x * y)) / ((z * y) * T(x,y))) = 1 / (1 / (((z * y) * x) \ (z * (x * y)))). L(a(x,y,z) * u,a(x,y,z) \ w,a(x,y,z) * u) = L(u,w,u) * a(x,y,z). L(x,x,y) * (a(y,x,x) * (x \ z)) = L(z,a(y,x,x),L(x,x,y)). (x \ L(x,y,y)) * (R(y,y,x) * (y \ (R(y,y,x) * z))) = R(y,y,x) * ((x \ L(x,y,y)) * (R(y,y,x) * (y \ z))). a(x,y,(L(z,u,u) * u) * w) = a(x,y,(u \ z) * w). a(x,y,z * (u * L(w,u,u))) = a(x,y,(u \ w) * z). a(x,y,(L(z,(u \ 1) \ w,(u \ 1) \ w) * (u \ w)) * v5) = a(x,y,(((u \ 1) \ w) \ z) * v5). a(x,y,(z \ (z \ u)) * w) = a(x,y,L(u,z,z) * w). a(x,y,z * (L(u,w,w) * w)) = a(x,y,(w \ u) * z). (x * (a(y,z,u) * a(y,z,u))) * (a(y,z,u) \ T(w * a(y,z,u),x)) = (w * (a(y,z,u) * a(y,z,u))) * x. L(x \ L(x,L(y,z,u) \ y,w),x,w * (y * L(y,z,u))) = a(x,L(y,z,u) \ y,w). x / (y \ (a(z,u,w) \ x)) = ((a(z,u,w) \ x) / y) \ x. a(x,y,z) \ (u \ (((a(w,v5,a(x,y,z) \ 1) \ v5) * w) * a(x,y,z))) = (a(x,y,z) \ 1) \ (u \ ((v5 * (a(x,y,z) \ 1)) * w)). (x \ 1) \ (x \ a(y,z,u)) = x \ ((1 / x) \ a(y,z,u)). (x \ a(y,z,u)) / (x \ 1) = x \ ((1 / x) \ a(y,z,u)). (x \ 1) * (L(L(y,z,u) \ y,x,x) \ 1) = x \ (y \ L(y,z,u)). (L(x,y,z) * u) \ (L(L(x,w,v5),y,z) * u) = u \ ((u / R(x,y,z)) * L(R(x,y,z),w,v5)). a(x * (L(x,y,z) \ x),u,x * (L(x,y,z) \ x)) = a(x,u,L(x * (x * L(x,y,z)),w,v5)). a(x * (L(x,y,z) \ x),u,x * (L(x,y,z) \ x)) = a(x,u,x). a(x,y,a(R(z,u,u),z * u,R(z,u,u) * L(u,u,z))) = a(x,y,a(z * u,z * u,u)). L(x,y * a(z,y,y),a(z,y,y) \ 1) = L(x,a(z,y,y),L(y,y,z)). R(x,y,z) \ R(R(x,y,z),u,w) = L(x,y,z) \ L(R(x,u,w),y,z). a(x,y,y * L(y,z,u)) \ (y \ L(y,z,u)) = L(y \ L(y,z,u),y,L(y,z,u) \ x). L(((x * x) * y) \ L((x * x) * y,z,u),(x * x) * y,w) = a(w,y,y * L(y,z,u)) \ (((x * x) * y) \ L((x * x) * y,z,u)). x * (L(x,y,z) \ a(u,x,x * L(x,y,z))) = L(x \ L(x,y,z),x,u) \ 1. x \ (y * L(y \ x,y \ 1,y)) = (y * (x / (y * x))) \ 1. L(L(x,x,y),x,y) \ L((R(y,x,x) \ y) * L(x,x,y),z,u) = x \ L(x,z,u). R(x,L(y,z,u),L(y,w,u)) * (y * L(L(y,z,u),w,u)) = (x * L(y,z,u)) * L(y,w,u). L((x * L(L(x,y,z),y,z)) * u,L(x,y,z),L(x,y,z)) = L(x,y,z) * (L(x,y,z) * u). (x * L(L(x,y,z),y,z)) * L(u,w,v5) = L((L(x,y,z) * L(x,y,z)) * u,w,v5). x \ (L(y,z,u) \ (L(y,w,u) \ ((y * L(L(y,w,u),z,u)) * x))) = L(x,L(y,z,u),L(y,w,u)) \ x. (x * (L(y,z,u) \ y)) * (x \ (((L(y,z,u) / x) \ (y * (y * L(L(y,z,u),z,u)))) / (y * L(y,z,u)))) = (L(y,z,u) / x) \ y. (x \ (y * z)) * (L(u,w,v5) * L(u \ 1,w,v5)) = x \ (y * (z * (u \ L(L(u,w,v5),w,v5)))). (x \ y) * (L(z,u,w) * L(z \ 1,u,w)) = x \ (y * (z \ L(L(z,u,w),u,w))). x \ (L(y,z,u) * (y \ L(y,z,u))) = (x \ y) * (y \ L(L(y,z,u),z,u)). (L(x,y,z) * (x \ L(x \ L(x,y,z),u,w))) \ (x \ L(L(x,y,z),y,z)) = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)). L(x * (L(y,z,u) * L(y \ 1,z,u)),w,v5) = (y \ L(L(y,z,u),z,u)) * L(x,w,v5). (L(L(x,y,z),y,z) \ x) \ u = u * (x \ L(L(x,y,z),y,z)). L(x * (L(y,z,u) * L(y \ 1,z,u)),w,v5) = L(x,w,v5) * (y \ L(L(y,z,u),z,u)). a(x \ L(x,y,z),z,u) = a(z,x \ L(x,y,z),u). (R(x,x,y) \ x) * (R(x,x,y) * z) = L(x,x,y) * (a(y,x,x) * z). a((x \ y) * x,x \ 1,x) = ((y / x) / (1 / x)) \ y. ((L(x,y,z) \ x) * u) * ((1 / u) * ((x \ L(x,y,z)) \ ((1 / u) \ (x \ L(x,y,z))))) = (L(x,y,z) \ x) / (u \ 1). a(x,y,a(z \ 1,u \ 1,w)) = a(x,y,a(z,u,w)). a(x,y,a(z,L(u \ 1,w,v5),v6)) = a(x,y,a(z,L(u,w,v5),v6)). a(x,y,a((z * z) \ u,u,L(w,v5,u))) = a(x,y,a(w,u,u)). a(x,y,L((z * (u \ 1)) \ w,v5,v6)) = a(x,y,L((z * u) \ w,v5,v6)). a(x,y,L(z,L(L(u,u,w),(u * u) \ w,w),v5)) = a(x,y,L(z,(u \ w) * w,v5)). a(x,y,L(z,u * (w * ((v5 * v5) \ ((v5 * v5) \ u))),v6)) = a(x,y,L(z,L(w,(v5 * v5) \ u,u),v6)). x \ ((1 / y) \ (y \ x)) = ((y \ x) / x) * y. L((x * (y / (x * y))) \ z,a(x \ 1,x,y),a(x \ 1,x,y) \ 1) = (1 / (x * (y / (x * y)))) * z. a(x,y,z \ (L(u,(u * w) \ w,v5) * (v5 * (w / (u * w))))) = a(x,y,z \ (v5 * a(u \ 1,u,w))). a(x,y,(z \ (u * ((u * w) \ w))) * v5) = a(x,y,v5 * (z \ a(u \ 1,u,w))). a(x,y,L(z * a(u \ 1,u,w),v5,v6)) = a(x,y,L(z * a(w,u,u),v5,v6)). a(x,y,z \ (u * (w \ R(w \ 1,w,v5)))) = a(x,y,z \ (u * a(w \ 1,w,v5))). (x * y) * (L(L(z,u,w),u,w) \ z) = x * (y * (L(L(z,u,w),u,w) \ z)). x \ (y * (L(L(z,u,w),u,w) \ z)) = (x \ y) * (L(L(z,u,w),u,w) \ z). L(a(x,L(y,z,u) \ (L(y \ 1,z,u) \ 1),w),L(y,z,u) * L(y \ 1,z,u),L(y,z,u) * L(y \ 1,z,u)) = (L(y,z,u) * L(y \ 1,z,u)) * ((x \ (((L(y,z,u) * L(y \ 1,z,u)) \ (x * 1)) * w)) / w). ((L(x,y,z) * L(x \ 1,y,z)) * u) * w = u * (w * (L(x,y,z) * L(x \ 1,y,z))). x * (y * (L(x,z,u) * L(x \ 1,z,u))) = (L(x,z,u) * (x \ L(x,z,u))) * y. x * (y * (L(z,u,w) * L(z \ 1,u,w))) = (x * (z \ L(L(z,u,w),u,w))) * y. R(R(x,y,y),y,y) \ L(R(a(x,y,y) * x,y,y),z,u) = x \ L(x,z,u). L(a(x,y,z),u,((w \ 1) \ v5) * v6) = L(a(x,y,z),u,(w \ v5) * v6). a(a(x,y,z),z,z \ u) = a(z,a(x,y,z),u). a(a(x,x,y * x),z,u) = a(x * (y \ (x \ y)),z,u). (x \ 1) \ ((L(x,y,z) \ 1) * u) = (L(x,y,z) \ 1) * ((x \ 1) \ u). L(1 / (x \ y),x,y \ (x \ y)) = 1 / (x \ ((1 / x) \ (x \ y))). a(T(x,y) \ (a(z,u,w) \ v5),x,a(z,u,w)) = (a(z,u,w) * x) \ (v5 / (x \ (a(z,u,w) \ v5))). L(x,a(y,z,u) \ u,a(w,v5,v6)) = L(x,u * a(y,z,u),a(w,v5,v6)). L(x,L(y,z,u) \ y,a(w,v5,v6)) = L(x,y * L(y,z,u),a(w,v5,v6)). L(x,(y * z) * y,a(u,w,v5)) = L(x,L(z,y,y),a(u,w,v5)). L(x,y * (z \ 1),a(u,w,v5)) = L(x,z * y,a(u,w,v5)). L(x \ L(x,y * z,a(u,w,v5)),x,((z \ 1) * y) * a(u,w,v5)) = a(x,(z \ 1) * y,a(u,w,v5)). L(x,L(L(y \ z,u,w),y,y),a(v5,v6,v7)) = L(x,L(y * z,u,w),a(v5,v6,v7)). L(x,L((y \ 1) \ z,u,w),a(v5,v6,v7)) = L(x,L(y \ z,u,w),a(v5,v6,v7)). L(x,y * ((z * z) \ u),a(w,v5,v6)) = L(x,y * u,a(w,v5,v6)). L(x,y \ 1,a(z,u,w)) = L(x,y,a(z,u,w) \ 1). L(x,y \ 1,a(z \ 1,u,w)) = L(x,y,a(z,u,w)). L(x,y \ 1,z \ L(z,u,u)) = L(x,y,a(u,u,z)). L(T(x,x \ 1),x,a(y,z,u)) = L(x,x,x \ a(y,z,u)). L(x \ L(x,y,a(z,u,w)),x,a(z,u,w) * (y \ 1)) = (a(z,u,w) * (y \ 1)) \ ((a(z,u,w) * ((y \ 1) * x)) / x). L(x,a(y \ (y \ z),y,y \ z) \ 1,a(u,w,v5)) = L(x,((y \ z) / y) * z,a(u,w,v5)). L(x \ L(x,y,a(z,u,w)),x,y * ((v5 * v5) * a(z,u,w))) = a(x,y * (v5 * v5),a(z,u,w)). R(x,L(y,z,u) \ y,w) = L(x,y \ L(y,z,u),w). L(x * (L(y,z,u) \ y),y \ L(y,z,u),x) = 1 / ((L(y,z,u) \ y) \ (x \ 1)). L(x * (L(y,z,u) \ y),y \ L(y,z,u),x) \ 1 = (L(y,z,u) \ y) \ (x \ 1). ((x * (L(x,y,z) \ z)) * u) \ (z * (u * (L(x,y,z) \ x))) = a(u,z,L(x,y,z) \ x). (x * (L(1 / y,z,u) \ 1)) / y = (y \ 1) \ ((L(y,z,u) \ 1) * x). L(x,L(L((y \ 1) \ L(y \ 1,z,u),w,v5),v6,v7),v8) = R(x,L(L(y \ L(y,z,u),w,v5),v6,v7),v8). a(x,y,z \ (((R(u,w,w) * w) \ v5) \ v6)) = a(x,y,z \ ((((L(w,w,u) \ 1) * u) \ v5) \ v6)). L(x * y,z,u) \ ((y * x) * w) = (y * x) * (L(x * y,z,u) \ w). (L(1 / x,y,z) \ 1) \ (x * u) = (L(x,y,z) \ 1) \ ((x \ 1) * u). L((1 / x) \ y,x,x \ L(x,z,u)) = (1 / L(x,z,u)) \ ((L(x,z,u) \ x) * y). ((x * (L(y,z,u) \ y)) / (1 / L(y,z,u))) * (1 / y) = (1 / y) * L((1 / y) \ x,y,y \ L(y,z,u)). T((R(x \ 1,y,z) * ((x \ 1) \ u)) / u,x \ 1) = L(x * R(x \ 1,y,z),x,x \ u). (x / (y \ L(a(z,u,w),y,y))) * (y \ 1) = y * ((a(z,u,w) * y) \ x). L(x,L(y \ 1,y,(y \ 1) \ z),u) = L(x,L(y \ 1,y,z),u). L(a(x,y,L(y,z,u)),z,u) = a(x,y,y). (x \ 1) * (a(y,x,L(x,z,u)) \ x) = L((x \ (a(y,x,x) \ 1)) * x,z,u). L(a(x,y \ 1,y) \ 1,z,u) \ 1 = a(x,y \ 1,L(y,z,u)). K(x,a(y,z,u) \ w) * ((x * L(a(y,z,u) \ 1,v5,v6)) \ (L(a(y,z,u) \ 1,v5,v6) * (w * x))) = L(a(L(a(y,z,u) \ 1,v5,v6),w,x) \ w,L(a(y,z,u) \ 1,v5,v6),x). K(a(x,y,z) \ 1,u * w) * ((L(a(x,y,z) \ 1,v5,v6) * w) \ (w * (L(a(x,y,z) \ 1,v5,v6) * u))) = L(a(w,u,L(a(x,y,z) \ 1,v5,v6)) \ u,w,L(a(x,y,z) \ 1,v5,v6)). a(x,y,z \ ((L(1 / u,w,w) \ v5) \ v6)) = a(x,y,z \ (((w \ (w \ u)) \ v5) \ v6)). L(a(x,y,z \ u),z \ u,L(u,z,z)) = L(a(x,y,z \ u),z \ u,u \ (z \ u)). a(x,y,z \ (u \ (w \ (w \ v5)))) = a(x,y,z \ (u \ L(v5,w,w))). a(x,y,(z \ (u \ (u \ w))) * v5) = a(x,y,v5 * (z \ L(w,u,u))). a(x,y,((z * u) \ a(u,z,z)) \ w) = a(x,y,((z * u) * a(u,z,z)) \ w). (L(x,y,z) \ 1) * (a(u,w,L(x,L(x,y,z),x)) \ v5) = a(u,w,x) \ ((L(x,y,z) \ 1) * v5). T(a(x,L(y,z,u),L(y,z,u)) \ x,y) = K(y,w) * (R(T(y,w),z,u) \ (x / (R(y,z,u) \ 1))). a(x,y,z \ (u \ (w \ ((w \ 1) \ v5)))) = a(x,y,z \ (u \ R(v5,w,w))). R(x,y,(z * u) \ a(z,u,u)) = R(x,y,u \ z). x \ (L(a(y,z,x \ u) \ 1,x \ u,u) * u) = (x \ u) * T(a(y,z,x \ u) \ 1,u). x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)) = a(x,x \ L(x,y,z),u). L((1 / x) * y,z,a(x \ 1,x \ 1,y)) = (1 / x) * y. x \ (((1 / x) \ y) / y) = a(x \ 1,x,y). a(x \ (y \ L(y,z,u)),x,y) = x \ (((1 / x) \ y) / y). x / (a(y,z,u) \ (w \ (a(y,z,u) * (w * x)))) = x \ (w \ ((w * (x * a(y,z,u))) / a(y,z,u))). ((((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * y) / ((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1)) * a(a(x,y,z),y,y) = T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y). (a(a(x,y,z),y,y) \ (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * (u / w))) / (u / w) = y * a(a(a(x,y,z),y,y),y,w \ u). x * a(x,a(y,z,x),u) = L(x,a(y,z,x),u). a(x,y,a(z,u,y)) * L(y,a(z,u,y),x) = y. x \ L(x,a(y,z,x),u) = a(x,a(y,z,x),u). a(x,a(y,z,x),u) * x = L(x,a(y,z,x),u). x \ L(x,a(x,y,z),u) = a(a(x,y,z),x,u). L(x,a(y \ 1,z,u),w) = L(x,a(y,z,u),w). a(x,y * z,a(y,z,z)) \ 1 = a(y * z,a(z,z,y),x). 1 / (1 / (((x * y) * z) \ (x * (z * y)))) = K(z,y) * ((x * y) \ ((x * (y * z)) / z)). L(a(x,y,z) * u,w,a(x,y,z) * u) = L(u,w,u) * a(x,y,z). a(x * (y * y),a(z,u,w),v5) = a(x,a(z,u,w),v5). a(x \ 1,a(y,z,u),w) = a(x,a(y,z,u),w). a(x * (y \ 1),a(z,u,w),v5) = a(x * y,a(z,u,w),v5). a(x,y,z * (((u \ w) * (u * u)) * L(v5,(u \ w) * (u * u),(u \ 1) \ w))) = a(x,y,(((u \ w) * (u * u)) \ v5) * z). a(x,y,z * (R(u,w,v5) * L(v6,R(u,w,v5),R(u,w,v5)))) = a(x,y,T(v6 / R(u,w,v5),u) * z). a(x,y,z * ((L(u * (w * w),v5,v6) \ (w * w)) * L(v7,L(u * (w * w),v5,v6) \ (w * w),L(u,v5,v6) \ 1))) = a(x,y,((L(u * (w * w),v5,v6) \ (w * w)) \ v7) * z). a(x,y,L(z * u,z,z) * w) = a(x,y,(z \ u) * w). L(x \ L(x,L(y,z,u) \ y,w),x,(y * L(y,z,u)) * w) = a(x,L(y,z,u) \ y,w). a(x,y,z) \ (u \ (((a(w,v5,a(x,y,z)) \ v5) * w) * a(x,y,z))) = (a(x,y,z) \ 1) \ (u \ ((v5 * (a(x,y,z) \ 1)) * w)). (x \ ((1 / x) \ a(y,z,u))) \ ((x \ a(y,z,u)) * x) = a(x \ a(y,z,u),x,x). (x \ 1) * (x \ ((y / x) \ L(y,z,u))) = x \ (y \ L(y,z,u)). (1 / x) * ((y \ L(y,z,u)) \ ((y / x) \ L(y,z,u))) = a(x \ 1,x,y * L(y,z,u)). (x / R(y,z,u)) * L(R(y,z,u),w,v5) = (x / L(y,z,u)) * L(L(y,z,u),w,v5). a(x * (L(x,y,z) \ x),u,x * (L(x,y,z) \ x)) = a(x,u,L(L(L(x,y,z),w,v5),x,x)). (L(x,y,z) \ u) * a(x,x \ L(x,y,z),u) = x \ ((x \ L(x,y,z)) \ u). L(x,y * a(z,y,y),a(y,y,z)) = L(x,a(z,y,y),L(y,y,z)). a(x,y,z \ (L(u,w \ 1,w) * v5)) = a(x,y,z \ (v5 * (w \ (w \ u)))). x \ (y \ (x * ((z \ L(z,u,w)) * T(y,x)))) = L(L(L(z,u,w) \ z,x,y) \ 1,y,x). R(x * a(y,z,x),a(y,z,x),x) = x * ((a(y,z,x) \ 1) \ 1). R(a(x,a(y,z,u),w) \ 1,w,(y * (u * z)) \ (u * (y * z))) = w \ L(w,a(y,z,u),x). L(a(x,y * z,z) \ 1,z,y) = z \ L(z,y * z,x). a(x,y \ L(y,z,u),y) \ 1 = y \ L(y,y \ L(y,z,u),x). L(x,y,z) \ L(L(x,y,z),a(u,w,x),v5) = a(v5,a(u,w,x),L(x,y,z)) \ 1. a(x,y,z) * (z \ L(z,y,x)) = a(z,a(x,y,z),y). a(x,y,L((z * u) \ w,u,z)) = a(x,y,T(u,v5) \ (z \ w)). a(x,y,L((z * u) \ w,z,u)) = a(x,y,z \ (u \ w)). a(x,y,L(z \ u,w \ z,w)) = a(x,y,(w \ z) \ (w \ u)). a(x,y,L(((z * (u \ (z \ u))) * w) \ v5,w,a(z,z,u))) = a(x,y,w \ ((z * (u \ (z \ u))) \ v5)). L(L(x,y,z) \ x,x,y * z) = a(z,y,L(x,y,z)). L(L(x,y,z) \ x,x,z * y) = a(z,y,L(x,y,z)). (a(x,x,y) \ z) \ (y * (L(y,x,x) \ (a(x,x,y) \ z))) = a(x,x,L(y,L(y,x,x),z)). L(a(x,x,y),z,u) \ w = a(x,x,L(y,z,u)) \ w. x \ a(y,y,L(z,x,x)) = a(y,y,z) * (x \ 1). L(L(x,y,y) \ x,z,u) = a(y,y,L(x,z,u)). L(a(x,x,L(y,z,u)),w,x * y) = L(a(x,x,y),z,u). (a(x,x,y) \ 1) \ ((z / y) * L(y,x,x)) = a(x,x,L(y,y,z)) * (a(x,x,y) \ z). L(a(x,x,L(a(y,z,u),w,v5)),L(x,w,v5),x * a(y,z,u)) = a(x,L(x,w,v5),a(y,z,u)). (a(x,x,y) \ a(x,x,L(y,z,z))) \ z = R(z,z,a(x,x,y)). L(a(x,x,y) \ a(x,x,L(y,z,u)),a(x,x,y),u * z) = a(a(x,x,y),z,u). a(x,y,a(R(z,u,u),z * u,z * u)) = a(x,y,a(z * u,z * u,u)). (x * y) * (z \ L(L(z,u,w),u,w)) = x * (y * (z \ L(L(z,u,w),u,w))). L(x \ L(L(x,y,z),y,z),u,w) = x \ L(L(x,y,z),y,z). L(x,a(x,y,z),u) \ x = a(u,x,a(x,y,z)). a(x,y,z) \ L(a(x,y,z),x,u) = a(x,a(x,y,z),u). a(x,y,z) * a(x,a(x,y,z),u) = L(a(x,y,z),x,u). a(x * y,z,a(z,y,x)) \ (z \ L(z,y,x)) = L(z \ L(z,y,x),z,x * y). a(x,y,y * L(y,z,u)) \ (L(y,z,u) \ y) = L(L(y,z,u) \ y,y,x). L(1 / L(a(x,y,z),u,w),z,y) = L(L(z,y,x) \ z,u,w) \ 1. x \ (y \ (L(L(y,z,u),w,v5) \ ((y * L(L(y,w,v5),z,u)) * x))) = a(y,L(L(y,z,u),w,v5),x). a(x,L(L(x,y,z),u,w),v5) \ v5 = L(v5,x,L(L(x,y,z),u,w)). L(L(x,y \ L(y,z,u),L(y,w,v5)) \ x,v6,v7) = L(a(L(y,w,v5),y \ L(y,z,u),x),v6,v7). a(x,T(1 / (1 / y),z),L(T(1 / (1 / y),z),u,w)) \ T(1 / (1 / y),z) = L(1 / (K(z,y) / y),L(T(1 / (1 / y),z),u,w),x). L(x * y,L(x * y,x,x),z) = a(z,x * y,x \ y) \ (x * y). a(x,y * z,y \ z) \ (y * z) = L(y * z,L(y * z,y,z),x). T(x,y * K(z,u)) = T(x,y * K(u,z)). T(x,K(y,z) * u) = T(x,K(z,y) * u). R(T(x,K(y,z)),u,w) \ (K(y,z) * v5) = K(y,z) * (R(x,u,w) \ v5). T(x,K(y,z)) \ T(u * (y * z),K(y,z)) = K(y,z) * (x \ (u * (z * y))). L(R(x,y,z),R(x,y,z) * L(x \ L(x,u,w),y,z),v5) \ R(x,y,z) = a(v5,L(L(x,y,z),u,w),L(x,y,z)). x \ ((y \ L(L(y,z,u),z,u)) * w) = (x \ w) * (y \ L(L(y,z,u),z,u)). a(L(x,y,z) \ u,x,x * L(x,y,z)) = a(u,x,x * L(x,y,z)). L(((x * x) * y) \ L((x * x) * y,z,u),(x * x) * y,w) = a(w,y,y * L(y,z,u)) \ (y \ L(y,z,u)). L(x,y,z) * (L(x \ L(x,y,z),x,u) \ 1) = a(u,x,x * L(x,y,z)) * x. (x \ L(x,y,y)) * (R(y,y,x) * z) = L(y,y,x) * (a(x,y,y) * z). ((x / y) / (1 / y)) \ x = a(x,y \ 1,y). ((L(x,y,z) \ x) * u) * ((1 / u) * ((x \ L(x,y,z)) \ ((x / u) \ L(x,y,z)))) = (L(x,y,z) \ x) / (u \ 1). L(x,y \ (((y \ z) \ 1) \ (z * (z \ y))),u) = L(x,L(y \ z,z \ y,z),u). a(x,y,a(L(z,u,w),w,w)) = a(x,y,a(z,w,w)). a(x,y,L((z * (u \ 1)) \ w,v5,v6)) = a(x,y,L((u * z) \ w,v5,v6)). a(x,y,L(z,(u * ((w * w) \ v5)) * v5,v6)) = a(x,y,L(z,L(u,(w * w) \ v5,v5),v6)). ((1 / x) * y) \ (x \ y) = ((x \ y) / y) * x. L((x * (y / (x * y))) \ z,a(x \ 1,x,y),a(x \ 1,x,y)) = (1 / (x * (y / (x * y)))) * z. a(x,y,z \ (L(u,w \ (u \ w),v5) * (v5 * (w / (u * w))))) = a(x,y,z \ (v5 * a(u \ 1,u,w))). L(L(x,x,y),x,y) \ L(a(y,x,x) \ L(x,x,y),z,u) = x \ L(x,z,u). (x * (y * (L(z,u,w) * L(z \ 1,u,w)))) / (x * y) = R(L(z,u,w) * L(z \ 1,u,w),x,y). x \ ((x * (y * (L(z,u,w) * L(z \ 1,u,w)))) / (y * (L(z,u,w) * L(z \ 1,u,w)))) = a(L(z,u,w) * L(z \ 1,u,w),x,y). (L(x,y,z) * (x \ L(x,y,z))) * u = x * (u * (x \ L(L(x,y,z),y,z))). (1 / L(x * y,y,x)) * L(L(x * y,y,x),z,u) = y \ (x * L(x \ y,z,u)). R(R(x,y,y),y,y) \ L(R(R(x,y,y),y,y),z,u) = x \ L(x,z,u). a(a(x,x,y * x),z,u) = a(a(y,x,x),z,u). L(1 / (x \ y),x,y \ (x \ y)) = L(1 / (x \ y),x,x \ 1). a(T(x,y) \ (a(z,u,w) \ v5),x,a(z,u,w)) = (a(z,u,w) * x) \ (((a(z,u,w) \ v5) / x) \ v5). L(x \ L(x,y * L(y,z,u),a(w,v5,v6)),x,a(w,v5,v6) * (y * L(y,z,u))) = a(x,L(y,z,u) \ y,a(w,v5,v6)). L(x,y * a(z,y,y),a(u,w,v5)) = L(x,L(y,y,z),a(u,w,v5)). L(x,L(a(y,y,z),(y * y) \ z,(y * y) \ z),a(u,w,v5)) = L(x,(y \ (y \ z)) * ((y * y) \ z),a(u,w,v5)). L(x,L(y,z,u) * (u * z),a(w,v5,v6)) = L(x,((u * (z * y)) / y) * (y \ 1),a(w,v5,v6)). L(x \ L(x,y * z,a(u,w,v5)),x,a(u,w,v5) * (y * z)) = a(x,(z \ 1) * y,a(u,w,v5)). L(x,L(y * z,y,y),a(u,w,v5)) = L(x,y \ z,a(u,w,v5)). L(x,L(y \ 1,z,u),a(w,v5,v6)) = L(x,L(y,z,u),a(w,v5,v6)). x \ L(x,x,x \ a(y,z,u)) = x * L(1 / x,x,a(y,z,u)). L(x \ L(x,y,a(z,u,w)),x,a(z,u,w) * y) = (a(z,u,w) * (y \ 1)) \ ((a(z,u,w) * ((y \ 1) * x)) / x). L(x,a(y \ (y \ z),y,y \ z),a(u,w,v5)) = L(x,((y \ z) / y) * z,a(u,w,v5)). L(x \ L(x,y,a(z,u,w)),x,y * a(z,u,w)) = a(x,y * (v5 * v5),a(z,u,w)). ((x * (L(x,y,z) \ z)) * u) / (u * (L(x,y,z) \ x)) = L(z,x \ L(x,y,z),u). ((x * (L(x,y,z) \ z)) * u) \ ((z * (L(x,y,z) \ x)) * L(u,x \ L(x,y,z),z)) = a(u,L(x,y,z) \ x,z). L((x \ 1) * (L(y,z,u) \ y),y \ L(y,z,u),x) = 1 / ((L(y,z,u) \ y) \ ((x \ 1) \ 1)). L((x \ 1) * (L(y,z,u) \ y),y \ L(y,z,u),x) \ 1 = (L(y,z,u) \ y) \ ((x \ 1) \ 1). ((x \ 1) \ ((L(x,x,y) \ 1) * z)) \ (z * a(y,x,x)) = a(z,a(y,x,x),x). R(x,L(L(y \ L(y,z,u),w,v5),v6,v7),v8) = L(x,L(L(y \ L(y,z,u),w,v5),v6,v7),v8). a(x,y,z \ (((R(u,w,w) * w) \ v5) \ v6)) = a(x,y,z \ (((u * L(w,w,u)) \ v5) \ v6)). (x / ((y \ 1) * a(z,u,w))) * (y \ 1) = y * ((a(z,u,w) * y) \ x). (L(1 / x,y,z) \ 1) \ (x * u) = x * ((L(1 / x,y,z) \ 1) \ u). (x \ 1) * L((x \ 1) \ y,x,x \ L(x,z,u)) = ((y * (L(x,z,u) \ x)) / (1 / L(x,z,u))) * (1 / x). L(x,L(y \ 1,y,y \ z),u) = L(x,L(y \ 1,y,z),u). L(x * y,y,x) \ L(L(x * y,y,x),z,u) = y \ (x * L(x \ y,z,u)). a(L(x,y,z),u,L(u,w,x)) = a(L(x,y,z),u,u). L(a(x,y,L(y,z,u)),z,u) = a(x,L(y,z,u),L(y,z,u)). (x \ 1) * (a(y,x,L(x,z,u)) \ x) = L(L(x \ 1,x,y) * x,z,u). K(x,a(y,z,u) \ w) * ((x * L(a(y,z,u) \ 1,v5,v6)) \ ((w * x) * L(a(y,z,u) \ 1,v5,v6))) = L(a(L(a(y,z,u) \ 1,v5,v6),w,x) \ w,L(a(y,z,u) \ 1,v5,v6),x). K(x,y) * ((x * L(a(z,u,w) \ 1,v5,v6)) \ (L(a(z,u,w) \ 1,v5,v6) * (y * x))) = L(a(L(a(z,u,w) \ 1,v5,v6),y,x) \ y,L(a(z,u,w) \ 1,v5,v6),x). L(a(x,y,L(a(z,u,w) \ 1,v5,v6)) \ y,x,L(a(z,u,w) \ 1,v5,v6)) = 1 * ((L(a(z,u,w) \ 1,v5,v6) * x) \ (x * (L(a(z,u,w) \ 1,v5,v6) * y))). a(x,y,z * (u \ (w \ (w \ v5)))) = a(x,y,z * (u \ L(v5,w,w))). a(x,y,z) \ ((L(z,u,w) \ 1) * v5) = (L(z,u,w) \ 1) * (a(x,y,z) \ v5). K(x,y) * (R(T(x,y),z,u) \ (w / (R(x,z,u) \ 1))) = L(x,z,u) \ (w / (L(x,z,u) \ 1)). R(x,y,R(z,u,u) * u) = R(x,y,u \ z). x \ (L(a(y,z,x \ u) \ 1,x \ u,u) * u) = (x \ u) * (a(y,z,x \ u) \ 1). (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,y,z))) = a(x,x \ L(x,y,z),u). a(x,y,y * L(y,z,u)) \ 1 = a(y,y \ L(y,z,u),x). L(x,y,z) * L(L(x,y,z) \ x,x,u) = x * a(x,x \ L(x,y,z),u). L(x,y,z) * (x \ a(x,x \ L(x,y,z),u)) = L(x \ L(x,y,z),x,u). L(x,a(y,z,u) \ 1,a(y,z,u) \ w) * w = (x * (a(y,z,u) \ 1)) * ((a(y,z,u) \ 1) \ w). L((1 / x) * y,z,a(x,x \ 1,y)) = (1 / x) * y. x / (a(y,z,u) \ (w \ (a(y,z,u) * (w * x)))) = a(a(y,z,u),x,w). a(x \ (y \ L(y,z,u)),x,y) = a(x \ 1,x,y). (x * K((a(y,x,z) / ((y \ ((y * x) * z)) / z)) \ 1,x)) * a(a(y,x,z),x,x) = T((a(y,x,z) / ((y \ ((y * x) * z)) / z)) \ 1,x). (a(a(x,y,z),y,y) \ (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * (u / (w / v5)))) / (u / (w / v5)) = y * a(a(a(x,y,z),y,y),y,(v5 \ w) \ u). x * (L(x,y,z) \ a(x,a(u,w,x),v5)) = L(x,y,z) \ L(x,a(u,w,x),v5). ((1 / x) * a(1 / x,a(y,z,1 / x),u)) \ 1 = (L(x,a(y,z,1 / x),u) \ x) * x. (x \ y) * a(x \ y,a(y,x,y * x),z) = L(x \ y,a(y,x,x \ y),z). L(x,a(y,z,x),u) \ x = a(u,x,a(y,z,x)). x \ (L(x,a(y,z,x),u) * (w * a(u,x,a(y,z,x)))) = L(w,a(u,x,a(y,z,x)),L(x,a(y,z,x),u)). x \ L(x,a(x,y,z),u) = a(x,a(x,y,z),u). a(x,y,L(L(z,u,u \ 1),a(u,u,z),w) \ (z * w)) = a(x,y,w * a(u \ 1,u,z)). a(x,y,z * L(a(u \ 1,w,v5) \ 1,a(u,w,v5),w)) = a(x,y,z * (w \ (u \ (((u \ 1) * (w * v5)) / v5)))). a(x * y,a(x,y,x * y),z) = a(x * y,a(y,y,x),z). (x * T(y,z)) \ ((x * (y * z)) / z) = 1 / (1 / (((x * y) * z) \ (x * (z * y)))). T((x * (a(y,z,u) * w)) / x,x * w) = L(w,x,w) * a(y,z,u). a(x \ (y \ 1),a(z,u,w),v5) = a(x \ y,a(z,u,w),v5). a(L(x * y,y,x),a(z,u,w),v5) = a(y \ (x \ 1),a(z,u,w),v5). a(a(x,x,x \ y),L(x \ y,x,x),z) = a(y * x,a(x,x,y),z). a(x,y,z * (R(u,w,v5) * L(v6,R(u,w,v5),L(u,w,v5)))) = a(x,y,T(v6 / R(u,w,v5),u) * z). a(x,y,z * (((u \ w) * (u * u)) * L(v5,(u \ 1) \ w,(u \ 1) \ w))) = a(x,y,(((u \ w) * (u * u)) \ v5) * z). a(x,y,z * ((L(u * (w * w),v5,v6) \ (w * w)) * L(v7,L(u,v5,v6) \ 1,L(u,v5,v6) \ 1))) = a(x,y,((L(u * (w * w),v5,v6) \ (w * w)) \ v7) * z). a(x,y,z * L(u * w,u,u)) = a(x,y,(u \ w) * z). a(x,y,z * L(u * w,w,w)) = a(x,y,(w \ u) * z). a(x,y,(z \ u) * R(w / L(z * u,z,z),z * u,z * u)) = a(x,y,(z * u) * (w * ((z * u) \ 1))). L(x \ L(x,y \ L(y,z,u),w),x,(y * L(y,z,u)) * w) = a(x,L(y,z,u) \ y,w). L(x,y,a(z,u,L(y,y \ w,(y \ w) \ 1))) = L(x,a(z,u,(y \ w) * w),y). a(x,y,z) \ (u \ (w * (T(v5,w) * a(x,y,z)))) = (a(x,y,z) \ 1) \ (u \ ((v5 * (a(x,y,z) \ 1)) * w)). (1 / x) * ((y \ L(y,z,u)) \ ((y / x) \ L(y,z,u))) = a(x,x,y * L(y,z,u)). (x / L(y,z,(z * y) \ x)) * L(L(y,z,(z * y) \ x),u,w) = (L(y,u,w) * z) * ((y * z) \ x). (x / L(y,z,(y * z) \ x)) * L(L(y,z,(y * z) \ x),u,w) = (L(y,u,w) * z) * ((y * z) \ x). K(x,y) * ((z / L(x,u,w)) * L(L(x,u,w),v5,v6)) = L(R(T(x,y),u,w),v5,v6) * (R(x,u,w) \ z). K(x,y) * ((z / R(y,u,w)) * L(R(y,u,w),v5,v6)) = L(T(y,x),u,w) \ (L(L(y,u,w),v5,v6) * z). a(x * (L(x,y,z) \ x),u,x * (L(x,y,z) \ x)) = a(x,u,L(L(x,y,z),w,v5)). (x * (y / (x * y))) \ 1 = y \ ((x \ 1) * (x * y)). (x * L(L(x,y,z),y,z)) * L(u,w,v5) = L((x * L(L(x,y,z),y,z)) * u,w,v5). (x * (L(y,z,u) \ y)) * (x \ (((L(y,z,u) / x) \ L(y * (y * L(y,z,u)),z,u)) / (y * L(y,z,u)))) = (L(y,z,u) / x) \ y. (x \ y) * (y \ L(L(y,z,u),z,u)) = x \ L(L(y,z,u),z,u). x \ (y * (z * (u \ L(L(u,w,v5),w,v5)))) = (x \ (y * z)) * (u \ L(L(u,w,v5),w,v5)). x \ (y * (z \ L(L(z,u,w),u,w))) = (x \ y) * (z \ L(L(z,u,w),u,w)). (x \ L(L(x,y,z),y,z)) * L(u,w,v5) = L(u * (x \ L(L(x,y,z),y,z)),w,v5). (x * (y \ L(L(y,z,u),z,u))) * w = x * (w * (y \ L(L(y,z,u),z,u))). L(x,y,z) * (u \ L(L(u,w,v5),w,v5)) = L(x * (u \ L(L(u,w,v5),w,v5)),y,z). (x \ L(L(y,z,u),z,u)) * (L(L(y,z,u),z,u) \ y) = x \ y. (K(x,y \ 1) / x) * (((K(x \ 1,x) \ y) \ 1) * x) = (x \ ((x \ 1) \ y)) \ 1. a(x,y,z \ (u \ (z * (u * w)))) = a(x,y,L(L(w,u,z),z,u)). a(x,y,L(L(T(z,u),u,w),w,u)) = a(x,y,w \ (u \ (w * (z * u)))). L(L(L(x,y,z) \ x,x,z * y),u,a(L(x,y,z) \ x,w,v5)) = a(z,y,L(x,y,z)). L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,z * y),u,w) = L(L(x,y,z) \ x,u,w) \ L(a(z,y,L(x,y,z)),u,w). L(a(x,x,y) \ a(x,x,L(y,z,u)),a(x,x,y),u * z) = a(u,z,L(a(x,x,y),z,u)). x \ ((L(y,z,u) \ y) * (L(L(y,z,u) \ y,y,u * z) \ x)) = ((x / (L(y,z,u) \ y)) * a(u,z,L(y,z,u))) \ x. L(L(x,y,z \ L(u,w,v5)) \ x,x,(z \ R(u,w,v5)) * y) = a(z \ R(u,w,v5),y,L(x,y,z \ R(u,w,v5))). L(a(x,y,L(z,y,x)) \ (L(z,y,x) \ z),L(z,y,x) \ z,u) * u = (u / (L(z,y,x) \ z)) * (L(1 / (L(z,y,x) \ z),z,x * y) \ 1). a(x,x,L(L(y,z,u),w,x * y)) = L(a(x,x,y),z,u). a(x,x,L(y,y,z)) * (a(x,x,y) \ z) = ((a(x,x,y) \ 1) \ (z / y)) * L(y,x,x). a(x,x,a(y,y,z)) \ x = R(x,x,a(y,y,z)). a(x,x,L(L(a(y,z,u),w,v5),L(x,w,v5),x * a(y,z,u))) = a(x,L(x,w,v5),a(y,z,u)). a(x,y,a(z,u * z,L(u,z,z))) = a(x,y,a(u * z,u * z,z)). L(x,y,z) \ L(L(L(x,y,z),u,w),u,w) = x \ L(L(x,u,w),u,w). L(x \ L(x,a(y,z,x),u),w,v5) = a(u,a(y,z,x),L(x,w,v5)) \ 1. a(x,y,y * L(y,z,u)) \ 1 = y \ L(y,y \ L(y,z,u),x). L(x,y,z) * (x \ a(z,y,x)) = a(x,a(z,y,x),y). a(x,y,a(z,z,u)) * a(x,a(x,y,a(u,z,z)),w) = L(a(x,y,a(z,z,u)),x,w). L(L(x,y,z) \ x,x,L(u,w,x)) = a(u,x,x * L(x,y,z)) \ (L(x,y,z) \ x). L(a(L(x,y,z),x \ L(x,u,w),v5),v6,v7) = L(a(x \ L(x,u,w),L(x,y,z),v5),v6,v7). a(x,T(1 / (1 / y),z),L(1 / (1 / y),u,w)) \ T(1 / (1 / y),z) = L(1 / (K(z,y) / y),L(T(1 / (1 / y),z),u,w),x). L(R(x,y,z),R(x,y,z) * L(x \ L(x,u,w),y,z),v5) \ R(x,y,z) = a(v5,L(x,y,z),L(L(x,y,z),u,w)). (x \ L(T(y,z),u,w)) * (T(y,z) \ L(L(y,v5,v6),v5,v6)) = x \ ((y \ L(L(y,v5,v6),v5,v6)) * L(y,u,w)). a(x,y,y * L(y,z,u)) \ (L(y,z,u) \ y) = L(L(y,z,u) \ y,y,L(y,z,u) \ x). L(((x * x) * y) \ L((x * x) * y,z,u),(x * x) * y,w) = L(y \ L(y,z,u),y,w). L(x,y,z) * (((z * y) \ ((z * (y * x)) / x)) \ 1) = a(z * y,x,x * L(x,y,z)) * x. (x \ L(x,y,y)) * (R(y,y,x) * (y \ (R(y,y,x) * z))) = R(y,y,x) * (L(y,y,x) * (a(x,y,y) * (y \ z))). a(x,y \ 1,y) \ x = (x / y) / (1 / y). a(x,a(y,z,u),L(u,w,v5)) \ 1 = L(a(u,a(y,z,u),x),w,v5). x * (L(x,y,z) \ a(x,a(z,y,x),y)) = a(z,y,x). a(x,x,a(y,y,z)) * a(x,a(x,x,a(z,y,y)),u) = a(x,x,L(a(y,y,z),x,u)). L(L(x,y,z) \ x,x,L(u,w,x)) = L(L(x,y,z) \ x,x,u). a(x,y,L(z,(u * w) * ((v5 * v5) \ w),v6)) = a(x,y,L(z,L(u,(v5 * v5) \ w,w),v6)). L(x \ y,x,y \ (x \ y)) = (1 / x) * y. L((x * (y / (x * y))) \ z,a(x \ 1,x,y),a(x,x,y)) = (1 / (x * (y / (x * y)))) * z. a(x,y,z \ (L(u,w \ (u \ w),v5) * (v5 * ((u * w) \ w)))) = a(x,y,z \ (v5 * a(u \ 1,u,w))). L(L(x,x,y),x,y) \ L(L(L(x,x,y),x,y),z,u) = x \ L(x,z,u). R(L(x,y,z) * L(x \ 1,y,z),u,w) = L(x,y,z) * L(x \ 1,y,z). a(L(x,y,z) * L(x \ 1,y,z),u,w) = u \ u. x * (y * (x \ L(L(x,z,u),z,u))) = L(L(x,z,u),z,u) * y. L(R(x,y,y) \ L(R(x,y,y),z,u),y,y) = x \ L(x,z,u). a(x * y,a(y,y,x * y),z) = a(a(x,y,y),x * y,z). a(x \ y,(x \ y) \ L(x \ y,x,y \ (x \ y)),z) = (z * (((x \ y) / y) * x)) \ ((z / (x \ y)) * (L(1 / (x \ y),x,x \ 1) \ 1)). (a(x,y,z) * u) \ (((a(x,y,z) \ w) / u) \ w) = a(u \ (a(x,y,z) \ w),u,a(x,y,z)). L((x * (y / (x * y))) \ z,a(x,x,y),a(x,x,y)) = (1 / (x * (y / (x * y)))) * z. a(x,L(y,z,u) \ y,a(w,v5,v6)) = a(x,y * L(y,z,u),a(w,v5,v6)). L(x,L(a(y,y,z),(y * y) \ z,(y * y) \ z),a(u,w,v5)) = L(x,(y \ (y \ z)) * z,a(u,w,v5)). L(x,(y * (z * u)) / (u * u),a(w,v5,v6)) = L(x,L(u,z,y) * (y * z),a(w,v5,v6)). a(x,(y \ 1) * z,a(u,w,v5)) = a(x,z * y,a(u,w,v5)). a(x,x \ 1,a(y,z,u) * x) = x \ L(x,x,x \ a(y,z,u)). (a(x,y,z) * (u \ 1)) \ ((a(x,y,z) * ((u \ 1) * w)) / w) = a(w,u,a(x,y,z)). L(x,a(y \ (y \ z),y,y \ z),a(u,w,v5)) = L(x,(y \ (y \ z)) * z,a(u,w,v5)). a(x,y * (z * z),a(u,w,v5)) = a(x,y,a(u,w,v5)). ((x * (L(x,y,z) \ z)) * u) \ ((z * (L(x,y,z) \ x)) * L(u,z,x \ L(x,y,z))) = a(u,L(x,y,z) \ x,z). L((x \ 1) * (L(y,z,u) \ y),y \ L(y,z,u),x) = ((L(y,z,u) \ y) \ (1 / (x \ 1))) \ 1. a(L(x,y,z),x \ L(x,u,w),v5) = a(x \ L(x,u,w),L(x,y,z),v5). ((x \ 1) \ ((L(x,x,y) \ 1) * z)) \ (z * a(y,x,x)) = a(z,x,a(y,x,x)). a(x,y,z \ (((R(u,w,w) * w) \ v5) \ v6)) = a(x,y,z \ (((u / (w \ 1)) \ v5) \ v6)). ((x * (L(y,z,u) \ y)) / (1 / L(y,z,u))) * (1 / y) = y * L(y \ x,y,y \ L(y,z,u)). L(L(x \ L(x,y,z),x,x \ u),L(x \ 1,x,u),w) \ w = L(x \ 1,x,x \ u) * (L(L(x \ 1,x,x \ u),y,z) \ w). a(x,L(y,z,u),L(y,z,u)) = a(x,y,y). (x \ 1) * (a(y,x,L(x,z,u)) \ x) = L((x \ 1) * L(x,x,y),z,u). K(x,y) * ((x * L(a(z,u,w) \ 1,v5,v6)) \ ((y * x) * L(a(z,u,w) \ 1,v5,v6))) = L(a(L(a(z,u,w) \ 1,v5,v6),y,x) \ y,L(a(z,u,w) \ 1,v5,v6),x). L(a(x,y,L(a(z,u,w) \ 1,v5,v6)) \ y,x,L(a(z,u,w) \ 1,v5,v6)) = 1 * L(K(x,L(a(z,u,w) \ 1,v5,v6)) * y,L(a(z,u,w) \ 1,v5,v6),x). a(x,y,z * (u \ L(w * v5,w,w))) = a(x,y,z * (u \ (w \ v5))). R(x,y,z) \ (u / (R(x,y,z) \ 1)) = L(x,y,z) \ (u / (L(x,y,z) \ 1)). x \ (L(a(y,z,x \ u) \ 1,x \ u,u) * u) = a(y,z,x \ u) \ (x \ u). a(x \ y,(x \ y) \ L(x \ y,x,x \ 1),z) = a(z,x \ y,(x \ y) * ((1 / x) * y)) \ 1. a((x \ 1) * y,((x \ 1) * y) \ L((x \ 1) * y,z,u),w) = a(w,y * x,(y * x) * L(y * x,z,u)) \ 1. K(x,T(y,z * u)) * T(z,w) = T(z,w) * K(x,T(y,u)). K(x / (y \ z),u) = K((z / x) \ y,u). (x * y) \ (K(z,T(u,x * y)) * T(x,y)) = K(z,u) * ((y * x) \ x). x \ (K(y,z) * L(x * u,w,v5)) = x * (K(y,z) * L(x \ u,w,v5)). K(x,T(y,z)) * ((z * u) * w) = (z * (K(x,y) * u)) * w. K(x,T(y,z \ 1)) * (z \ L(z * u,w,v5)) = (z \ 1) * (K(x,y) * L((z \ 1) \ u,w,v5)). K(x,T(y,z)) * (z * K(u,w)) = z * (K(u,w) * K(x,y)). L(x,a(y,z,u),a(y,z,u) \ w) * w = (x * (a(y,z,u) \ 1)) * ((a(y,z,u) \ 1) \ w). K(x,x \ 1) * (y / ((1 / x) * y)) = a(x,x \ 1,y) * x. (x \ y) / (a(z,(x \ 1) \ y,a(u,w,v5)) * (x \ y)) = a(a(u,w,v5),(x \ 1) \ y,z). ((x \ L(x,y,z)) / u) * (u * x) = a(u \ 1,u,x) \ L(x,y,z). (x * K(((y \ ((y * x) * z)) / z) / a(y,x,z),x)) * a(a(y,x,z),x,x) = T((a(y,x,z) / ((y \ ((y * x) * z)) / z)) \ 1,x). (a(a(x,y,z),y,y) \ (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * (u / (w / v5)))) / (u / (w / v5)) = y * a(y,a(a(x,y,z),y,y),(v5 \ w) \ u). ((1 / x) * a(1 / x,a(y,z,x),u)) \ 1 = (L(x,a(y,z,1 / x),u) \ x) * x. (x \ y) * a(x \ y,a(y,x,y * x),z) = L(x \ y,a(y,x,y * x),z). a(x,y,a(z,u,y)) * (y \ L(y,w,v5)) = L(y,a(z,u,y),x) \ L(y,w,v5). ((x * a(y,z,a(u,w,z))) / z) * L(z,a(u,w,z),y) = L(x,a(y,z,a(u,w,z)),L(z,a(u,w,z),y)). a(x,y,L(a(z \ 1,u,w),a(z,u,w),u) * v5) = a(x,y,v5 * (u \ (z \ (((z \ 1) * (u * w)) / w)))). (x * T(y,z)) \ ((x * (y * z)) / z) = ((x * y) * z) \ (x * (z * y)). L(x * a(y,z,u),w,x * a(y,z,u)) = L(x,w,x) * a(y,z,u). a(L(x * y,y,x),a(z,u,w),v5) = a(y \ x,a(z,u,w),v5). a(x,y,z * (R(u,w,v5) * L(v6,L(u,w,v5),L(u,w,v5)))) = a(x,y,T(v6 / R(u,w,v5),u) * z). a(x,y,(L(z,(u \ 1) \ w,(u \ 1) \ w) * (u \ w)) * v5) = a(x,y,(((u \ w) * (u * u)) \ z) * v5). a(x,y,((L(z * (u * u),w,v5) \ (u * u)) \ v6) * v7) = a(x,y,(L(v6,L(z,w,v5) \ 1,L(z,w,v5) \ 1) * L(z * (u * u),w,v5)) * v7). a(x,y,(z \ u) * (w * (a(w,v5,L(z * u,z,z)) \ v5))) = a(x,y,w * (v5 * L(z * u,z,z))). a(x,y,(z \ u) * (w * (a(w,v5,L(u * z,z,z)) \ v5))) = a(x,y,w * (v5 * L(u * z,z,z))). a(x,y,(z \ u) * R(w / L(z * u,z,z),z * u,z * u)) = a(x,y,(w * (z * u)) * (z * u)). a(x,L(y,z,u) \ y,w) = a(x,y \ L(y,z,u),w). a(x,y,z) \ (u \ (w * T(v5 * a(x,y,z),w))) = (a(x,y,z) \ 1) \ (u \ ((v5 * (a(x,y,z) \ 1)) * w)). ((x / (y * z)) * y) * L(L(z,y,(y * z) \ x),u,w) = (L(z,u,w) * y) * ((z * y) \ x). ((x / (y * z)) * y) * L(L(z,y,(z * y) \ x),u,w) = (L(z,u,w) * y) * ((z * y) \ x). L(R(T(x,y),z,u),w,v5) * (R(x,z,u) \ v6) = L(L(T(x,y),z,u),w,v5) * (L(x,z,u) \ v6). R(T(x,y),z,u) \ (L(R(x,z,u),w,v5) * v6) = L(T(x,y),z,u) \ (L(L(x,z,u),w,v5) * v6). a(x,y,L(L(x,z,u),w,v5)) = a(x,y,x). ((x * (y / (x * y))) \ 1) * z = (y \ ((x \ 1) * (x * y))) * z. a(x,y,L((z * (u \ ((w \ 1) * (w * u)))) \ v5,v6,v7)) = a(x,y,L(((w * (u / (w * u))) * z) \ v5,v6,v7)). (x * (L(y,z,u) \ y)) * (x \ (((L(y,z,u) / x) \ L(L(y * (y * y),z,u),z,u)) / (y * L(y,z,u)))) = (L(y,z,u) / x) \ y. (x * (y \ L(L(y,z,u),z,u))) / L(L(y,z,u),z,u) = x / y. (K(x,y \ 1) / x) * ((y \ K(x \ 1,x)) * x) = (x \ ((x \ 1) \ y)) \ 1. a(x,y,L(L(z,u,w),w,u)) = a(x,y,z * a(u,z,w)). a(x,y,z \ (u \ (z * (w * u)))) = a(x,y,L(L(w,z,u),u,z)). L(a(x,y,L(z,y,x)),u,a(L(z,y,x) \ z,w,v5)) = a(x,y,L(z,y,x)). L(L(x,y,z) \ x,u,w) \ L(a(z,y,L(x,y,z)),u,w) = L((L(x,y,z) \ x) \ a(z,y,L(x,y,z)),u,w). a(x,y,L(a(z,z,u),y,x)) = a(a(z,z,u),y,x). x \ ((L(y,z,u) \ y) * (L(L(y,z,u) \ y,y,u * z) \ x)) = (((L(y,z,u) \ y) \ x) * a(u,z,L(y,z,u))) \ x. a(x,x,L(L(y,z,u),w,x * y)) = a(x,x,L(y,z,u)). (a(x,x,y) \ z) \ (((a(x,x,y) \ 1) \ (z / y)) * L(y,x,x)) = a(x,x,L(y,y,z)). x * a(a(y,y,z),x,x) = R(x,x,a(y,y,z)). a(x,y,a(z,u * z,L(u,z,z))) = a(x,y,a(z,z * u,z * u)). a(x,T(1 / (1 / y),z),L((1 / y) \ 1,u,w)) \ T(1 / (1 / y),z) = L(1 / (K(z,y) / y),L(T(1 / (1 / y),z),u,w),x). L(R(x,y,z),L(R(x,y,z),u,w),v5) \ R(x,y,z) = a(v5,L(x,y,z),L(L(x,y,z),u,w)). (x \ L(T(y,z),u,w)) * (T(y,z) \ L(L(y,v5,v6),v5,v6)) = x \ L(y * (y \ L(L(y,v5,v6),v5,v6)),u,w). L(L(x,y,z) \ x,x,L(x,y,z) \ u) = L(L(x,y,z) \ x,x,u). L(x \ L(x,y,a(z,u,w)),x,y * a(z,u,w)) = a((v5 * v5) * x,y,a(z,u,w)). L(x \ L(x,y,z),(u * u) * x,w) = L(x \ L(x,y,z),x,w). L(x,L(y \ L(y,z,u),y,u * z),w) = L(x,a((v5 * v5) * y,z,u),w). (x \ L(x,y,y)) * (R(y,y,x) * (y \ (R(y,y,x) * z))) = R(y,y,x) * L(z,a(x,y,y),L(y,y,x)). ((L(x,y,z) \ x) * u) * a(u,u,x * L(x,y,z)) = (L(x,y,z) \ x) / (u \ 1). L(x,L(y \ z,z \ y,z),u) = L(x,y \ (((y \ z) \ 1) \ y),u). a(x,y,L(z,L(u,(w * w) \ v5,v5),v6)) = a(x,y,L(z,v5 * (u * v5),v6)). L(L(x,x,y) \ L(L(x,x,y),z,u),x,y) = x \ L(x,z,u). (x * (L(y,z,u) * L(y \ 1,z,u))) \ ((x * (L(y,z,u) * L(y \ 1,z,u))) * w) = L(w,x,L(y,z,u) * L(y \ 1,z,u)). a(L(x,y,z) * L(x \ 1,y,z),u,w) = 1. (L(L(x,y,z),y,z) \ u) * (x \ L(L(x,y,z),y,z)) = x \ u. x * ((y \ L(T(x,z),u,w)) * (T(x,z) \ L(L(x,v5,v6),v5,v6))) = L(L(x,v5,v6),v5,v6) * (y \ L(x,u,w)). a(a(x,x,y) \ z,y,a(y,x,x)) \ z = ((a(x,x,y) \ z) / y) * (y * a(x,x,y)). R(x * a(y,z,x),a(y,z,x),x) = x * a(y,z,x). L(L(x \ L(x,y,z),u,u),u,u) = x \ L(x,y,z). a(a(x,y,y),x * y,z) = a(x * y,a(y,y,x),z). a(x \ y,(x \ y) \ L(x \ y,x,y \ (x \ y)),z) = (z * (((x \ y) / y) * x)) \ ((z / (x \ y)) * (x \ ((1 / x) \ (x \ y)))). x \ (y \ ((y * (x * (z * L(z,u,w)))) / (z * L(z,u,w)))) = a(z \ L(z,u,w),x,y). x \ (y \ ((z \ L(z,u,w)) \ (y * (x * (z \ L(z,u,w)))))) = a(z \ L(z,u,w),x,y). (a(x,x,y \ (z \ (u \ (z * (y * u))))) * a(x,x,y \ (z \ ((z * (y * u)) / u)))) \ w = w * ((y \ (z \ ((z * (y * u)) / u))) \ L(L(L(u \ L(u,y,z),x,x),u,z * y),x,x)). L(x,L(a(y,y,z),(y * y) \ z,z),a(u,w,v5)) = L(x,(y \ (y \ z)) * z,a(u,w,v5)). L(x,L(y,z,u) * (u * z),a(w,v5,v6)) = L(x,u * ((z * y) / (y * y)),a(w,v5,v6)). a(x,y * (z \ 1),a(u,w,v5)) = a(x,y * z,a(u,w,v5)). a(x,(y * z) * z,a(u,w,v5)) = a(x,L(y,z,z),a(u,w,v5)). a(x,y \ 1,a(z,u,w)) = a(x,y,a(z,u,w)). a(x,(y \ 1) \ z,a(u,w,v5)) = a(x,y \ z,a(u,w,v5)). a(x,1 / y,a(z,u,w)) = a(x,y,a(z,u,w)). a(x,y \ (z \ 1),a(u,w,v5)) = a(x,y \ z,a(u,w,v5)). a(x,y \ (z \ (u \ 1)),a(w,v5,v6)) = a(x,y \ (z \ u),a(w,v5,v6)). ((x * (L(x,y,z) \ z)) * u) \ ((z * u) * (L(x,y,z) \ x)) = a(u,L(x,y,z) \ x,z). L((x \ 1) * (L(y,z,u) \ y),y \ L(y,z,u),x) = ((L(y,z,u) \ y) \ x) \ 1. ((x / y) * (L(1 / y,y,z) \ 1)) \ (x * a(z,y,y)) = a(x,y,a(z,y,y)). a(x,y,z \ (((R(u,w,w) * w) \ v5) \ v6)) = a(x,y,z \ ((((w \ 1) \ u) \ v5) \ v6)). L(x * (x \ y),x,x \ L(x,z,u)) = ((y * (L(x,z,u) \ x)) / (1 / L(x,z,u))) * (1 / x). L(L(x \ L(x,y,z),x,u),L(x \ 1,x,u),w) \ w = L(x \ 1,x,x \ u) * (L(L(x \ 1,x,x \ u),y,z) \ w). a(x,(y \ z) \ 1,L(z \ y,z \ y,z)) = a(x,z \ y,z \ y). R(x,L(y,z,u),L(y,z,u)) = a(x,y,y) * x. a(x,y,a(L(z,u,w),L(z,u,w),v5)) = a(x,y,a(v5,z,z)). T(a(x,y,y) \ x,y) = L(y,z,u) \ (x / (L(y,z,u) \ 1)). K(x,y) * R(T(y,x * L(a(z,u,w) \ 1,v5,v6)),x,L(a(z,u,w) \ 1,v5,v6)) = L(a(L(a(z,u,w) \ 1,v5,v6),y,x) \ y,L(a(z,u,w) \ 1,v5,v6),x). L(a(x,y,L(a(z,u,w) \ 1,v5,v6)) \ y,x,L(a(z,u,w) \ 1,v5,v6)) = 1 * L(K(x,a(z,u,w) \ 1) * y,L(a(z,u,w) \ 1,v5,v6),x). a(x,y,z * (a(u,u,u * w) \ 1)) = a(x,y,z * ((u * w) \ (u \ w))). R(x,y,z \ (z \ u)) = R(x,y,L(u,z,z)). R(x,y,L(z * u,u,u)) = R(x,y,u \ z). a(x \ y,(x \ y) \ L(x \ y,x,x \ 1),z) = a(z,x \ y,(x \ y) * ((x \ 1) * y)) \ 1. a((x \ 1) * y,((x \ 1) * y) \ L((x \ 1) * y,z,u),w) = a(y * x,(y * x) \ L(y * x,z,u),w). a(x,x \ 1,y) * x = R(x,x \ 1,y). (x \ L(x,y,z)) \ (a(u \ 1,u,x) \ L(x,y,z)) = L(x,u,u \ (x \ L(x,y,z))). (x * K(a(y,x,z) \ ((y \ ((y * x) * z)) / z),x)) * a(a(y,x,z),x,x) = T((a(y,x,z) / ((y \ ((y * x) * z)) / z)) \ 1,x). (a(a(x,y,z),y,y) \ (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * (a(u,y,w) / ((u \ ((u * y) * w)) / w)))) / (a(u,y,w) / ((u \ ((u * y) * w)) / w)) = y * a(y,a(a(x,y,z),y,y),y). ((1 / x) * a(x \ 1,a(y,z,x),u)) \ 1 = (L(x,a(y,z,1 / x),u) \ x) * x. T(x,y) \ (z \ ((z * (x * y)) / y)) = ((z * x) * y) \ (z * (y * x)). L(x,y,x) * a(z,x,x) = L(x * a(z,x,x),y,x). a(L(x * y,x,y),a(z,u,w),v5) = a(x \ y,a(z,u,w),v5). a(x,y,(((z \ u) * (z * z)) \ w) * v5) = a(x,y,(((z \ 1) \ u) \ w) * v5). a(x,y,((L(z * (u * u),w,v5) \ (u * u)) \ v6) * v7) = a(x,y,(L(v6,L(z,w,v5) \ 1,L(z,w,v5) \ 1) * L(z,w,v5)) * v7). a(x,y,(z \ u) * (w * (a(w,v5,z \ u) \ v5))) = a(x,y,w * (v5 * L(z * u,z,z))). a(x,y,(z \ u) * (w * (a(w,v5,z \ u) \ v5))) = a(x,y,w * (v5 * L(u * z,z,z))). a(x,y,(z \ u) * R(w / L(z * u,z,z),z * u,z * u)) = a(x,y,L(w,z * u,z * u)). a(x,y \ L(y,z,u),a(w,v5,v6)) = a(x,y * L(y,z,u),a(w,v5,v6)). (a(x,y,z) \ 1) \ (u \ ((w * (a(x,y,z) \ 1)) * v5)) = a(x,y,z) \ (u \ ((w * a(x,y,z)) * v5)). (x / (y * z)) * (y * L(z,u,w)) = (L(z,u,w) * y) * ((z * y) \ x). L(L(T(x,y),z,u),w,v5) * (L(x,z,u) \ (y * x)) = L(R(x,z,u),w,v5) * (R(x,z,u) \ (x * y)). L(T(x,y),z,u) \ (L(L(x,z,u),w,v5) * T(v6,x)) = R(T(x,y),z,u) \ (v6 * L(R(x,z,u),w,v5)). a(x,(L(T(y,z),u,w) \ (L(L(y,u,w),v5,v6) * v7)) * R(T(y,z),u,w),v8) = a(x,L(R(y,u,w),v5,v6) * v7,v8). L(a(x,a(y,z,x),u),w,v5) = a(a(y,z,x),L(x,w,v5),u). K(x,y / (z \ u)) = K(x,(u / y) \ z). L(x,y,z) \ L(x,a(z,y,x),y) = a(z,y,x). L(x,y,z) * a(z,y,x) = L(x,a(z,y,x),y). (x * (L(y,z,u) \ y)) * (x \ ((((L(y,z,u) / x) \ L(L(y,z,u),z,u)) * (y * y)) / (y * L(y,z,u)))) = (L(y,z,u) / x) \ y. x * (L(L(x,y,z),y,z) \ (u * (x \ L(L(x,y,z),y,z)))) = u. L((x * y) \ L(x * y,z,u),y,x) = y \ (x * L(x \ y,z,u)). L(x \ K(y \ 1,y),y,y \ 1) = (y \ ((y \ 1) \ x)) \ 1. a(x,y,L(L(z,u,w),w,u)) = a(x,y,z * a(w,z,u)). a(x,y,x * a(z,x,u)) = a(x,y,x). a(x,y,z \ (u \ ((u * w) * z))) = a(x,y,L(L(w,z,u),u,z)). L(a(x,y,L(z,y,x)),u,a(z \ L(z,y,x),w,v5)) = a(x,y,L(z,y,x)). T(a(a(x,x,y),L(y,x,x),z) * L(y,x,x),a(x,x,y)) = L(a(x,x,y),L(y,x,x),z) \ y. x * a(a(y,y,z),x,x) = L(x,x,a(y,y,z)). a(x,L(x,y,z),a(u,w,v5)) = a(x,x,L(a(u,w,v5),y,z)). a(x,x,a(y,y,z)) * a(x,a(x,x,a(z,y,y)),u) = a(x,x,a(y,y,L(z,x,u))). a(x,y,a(z,x,u) * x) = a(x,y,x). a(x,x \ 1,a(y,x,z) * x) = K(x,x \ 1). L(L(x,y,z) \ x,x,u \ x) = L(L(x,y,z) \ x,x,u). a(x,T(1 / (1 / y),z),L(y,u,w)) \ T(1 / (1 / y),z) = L(1 / (K(z,y) / y),L(T(1 / (1 / y),z),u,w),x). L(R(x,y,z),L(L(x,y,z),u,w),v5) \ R(x,y,z) = a(v5,L(x,y,z),L(L(x,y,z),u,w)). (x \ L(T(y,z),u,w)) * (T(y,z) \ L(L(y,v5,v6),v5,v6)) = x \ L(L(L(y,v5,v6),v5,v6),u,w). L(L(x,y,z) \ x,x,u) \ u = x * ((L(1 / x,y,z) \ 1) \ u). a((x * x) * y,z,a(u,w,v5)) = a(y,z,a(u,w,v5)). L(x \ L(x,y,z),x * (u * u),w) = L(x \ L(x,y,z),x,w). L(x,a((y * y) * z,u,w),v5) = L(x,a(z,u,w),v5). (x \ L(x,y,y)) * (R(y,y,x) * (R(y,y,x) * (y \ z))) = R(y,y,x) * L(z,a(x,y,y),L(y,y,x)). ((L(x,y,z) \ x) * u) * a(u,u,x * L(x,y,z)) = (1 / u) \ (L(x,y,z) \ x). a(x,y,L(z,L(u,(w * w) \ v5,v5),v6)) = a(x,y,L(z,L(u,v5,v5),v6)). L((x * (y / (x * y))) \ z,a(x,x,y),a(x,x,y)) = ((x * (y / (x * y))) \ 1) * z. L(L(x \ L(x,y,z),x,u),x,u) = x \ L(x,y,z). L(x,y,L(z,u,w) * L(z \ 1,u,w)) = x. (((L(x,y,z) * L(x \ 1,y,z)) \ u) * w) * 1 = u * ((L(x,y,z) * L(x \ 1,y,z)) \ w). L(x * a(y,z,x),x,a(y,z,x)) = x * a(y,z,x). L((x * y) \ L(x * y,z,u),y,y) = y \ (x * L(x \ y,z,u)). L((x * y) \ L(x * y,z,u),x,x) = x \ (y * L(y \ x,z,u)). L(L(L(x \ L(x,y,z),u,u),w,v5),u,u) = L(x \ L(x,y,z),w,v5). L(a(x,x,y \ L(y,z,u)),w * w,v5) \ 1 = a(x,x,y * L(y,z,u)) * ((y \ L(y,z,u)) \ (y \ L(y,z,u))). (x * (((y \ z) / z) * y)) \ ((x / (y \ z)) * (y \ ((1 / y) \ (y \ z)))) = a(y \ z,(y \ z) \ ((1 / y) * z),x). L(x,(y \ (y \ z)) * z,a(u,w,v5)) = L(x,a(y,y,z),a(u,w,v5)). L(x,L(y,z,u) * (u * z),a(w,v5,v6)) = L(x,u * (z * (y \ 1)),a(w,v5,v6)). a(x,y * (L(y,z,u) \ y),a(w,v5,v6)) = a(x,L(y,z,u),a(w,v5,v6)). a(x,y * (z * y),a(u,w,v5)) = a(x,L(z,y,y),a(u,w,v5)). a(x,L(y \ z,y,y),a(u,w,v5)) = a(x,y * z,a(u,w,v5)). a(x,y * (L(y,z,u) \ y),a(w,v5,v6)) = a(x,L(y \ 1,z,u),a(w,v5,v6)). (x \ y) / (a(z,x \ y,a(u,w,v5)) * (x \ y)) = a(a(u,w,v5),(x \ 1) \ y,z). a(a(x,y,z),u \ w,u \ w) \ 1 = a(u \ w,u \ (w \ 1),a(x,y,z)). a(x,(y \ 1) \ (z \ (y \ 1)),a(u,w,v5)) = a(x,((y \ 1) * z) \ y,a(u,w,v5)). a(x,((y \ 1) * (((y \ 1) * z) \ z)) \ y,a(u,w,v5)) = a(x,1 / (((y \ 1) * z) \ z),a(u,w,v5)). ((x * (L(x,y,z) \ z)) * u) \ (z * (u * (L(x,y,z) \ x))) = a(u,L(x,y,z) \ x,z). (((L(x,y,z) \ x) \ u) \ 1) \ 1 = (L(x,y,z) \ x) \ ((u \ 1) \ 1). a(x,y,z \ (((R(u,w,w) * w) \ v5) \ v6)) = a(x,y,z \ (((w \ u) \ v5) \ v6)). ((x * (L(y,z,u) \ y)) / (1 / L(y,z,u))) * (1 / y) = L(x,y,y \ L(y,z,u)). R(x,L(y,z,u),L(y,z,u)) = R(x,y,y). a(x,y,a(L(z,u,w),L(z,u,w),v5)) = a(x,y,a(z,z,v5)). L(x,y,z) \ (u / (L(x,y,z) \ 1)) = x \ (u / (x \ 1)). L(x,y,z) * (x \ (u / (x \ 1))) = u / (L(x,y,z) \ 1). L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = K(v6,v5) * R(T(v5,v6 * (a(x,y,z) \ 1)),v6,L(a(x,y,z) \ 1,u,w)). L(a(x,y,L(a(z,u,w) \ 1,v5,v6)) \ y,x,L(a(z,u,w) \ 1,v5,v6)) = 1 * L(1 * y,L(a(z,u,w) \ 1,v5,v6),x). a(x,y,a(z,z,z * u) * w) = a(x,y,w * ((z * u) \ (z \ u))). R(x,y,L(z * u,z,z)) = R(x,y,z \ u). a(x,y,z \ (R(u,u,L(w,v5,v5)) \ (v5 \ (v5 \ w)))) = a(x,y,z \ (u * (v5 \ (v5 \ w)))). R(T(x,y),z,u) \ (w * L(R(x,z,u),v5,v6)) = L(T(x,y),z,u) \ (w * L(L(x,v5,v6),z,u)). a(x \ y,(x \ y) \ L(x \ y,x,x \ 1),z) = a(z,x \ y,(x \ y) * (y * x)) \ 1. (((x * y) \ L(x * y,z,u)) * w) * a(x * y,(x * y) \ L(x * y,z,u),w) = ((y \ 1) * x) \ (L((y \ 1) * x,z,u) * w). a(x,y,(z \ (a(z,z \ 1,u) \ z)) * w) = a(x,y,(R(z,z \ 1,u) \ z) * w). L(x,y,a(z,u,(1 / (w / y)) * w)) = L(x,a(z,u,(y \ w) * w),y). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y) = (y * K(y,y)) * a(a(x,y,z),y,y). (a(a(x,y,z),y,y) \ (((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1) * (a(u,y,w) / ((u \ ((u * y) * w)) / w)))) / (a(u,y,w) / ((u \ ((u * y) * w)) / w)) = y. ((1 / x) * a(x,a(y,z,x),u)) \ 1 = (L(x,a(y,z,1 / x),u) \ x) * x. a(x,y,L(z \ u,w,v5) * (v5 * w)) = a(x,y,v5 * (w * L(u * z,z,z))). a(x,y,L(z \ u,w,v5) * (v5 * w)) = a(x,y,v5 * (w * L(z * u,z,z))). a(x,y,(((z \ 1) \ u) \ w) * v5) = a(x,y,v5 * ((z \ u) \ w)). a(x,y,((L(z * (u * u),w,v5) \ (u * u)) \ v6) * v7) = a(x,y,(L(v6,L(z,w,v5) \ 1,L(z,w,v5)) * L(z,w,v5)) * v7). a(x,y,(z \ u) * L(w / L(z * u,z,z),z * u,z * u)) = a(x,y,L(w,z * u,z * u)). a(L(x,y,z),x * L(x,u,w),a(v5,v6,v7)) = a(x \ L(x,u,w),L(x,y,z),a(v5,v6,v7)). L(R(x,y,z),u,w) * (R(x,y,z) \ (x * v5)) = L(L(x,y,z),u,w) * (x * (L(x,y,z) \ v5)). a(x,y,z) * L(z,y,x) = L(z,a(x,y,z),y). L(L(x,y,z) \ 1,a(z,y,L(x,y,z) \ 1),y) = (x \ 1) * a(z,y,L(x,y,z) \ 1). x * (L(L(x,y,z),y,z) \ ((L(L(x,y,z),y,z) \ x) \ u)) = u. L((x * y) \ L(x * y,z,u),x,y) = x \ (y * L(y \ x,z,u)). (x / y) * (y * (((y \ x) * y) \ L((y \ x) * y,z,u))) = x * (y \ ((y \ x) * L((y \ x) \ y,z,u))). L(a(x,y * z,y * z) \ 1,z,y) = z \ (y * L(y \ z,y * z,x)). (x \ ((x \ 1) \ y)) \ 1 = (x \ 1) * (x * (y \ 1)). R(x,y * a(z,y,u),y * a(z,y,u)) = x * a(x,y * a(z,y,u),L(L(y,u,z),z,u)). a(x,y,z \ ((1 / u) \ (((a(w,v5,w) / u) * v6) * z))) = a(x,y,L(L(v6 * a(w,v5,w),z,1 / u),1 / u,z)). L(a(x,y,L(z,y,x)),u,a(z * L(z,y,x),w,v5)) = a(x,y,L(z,y,x)). T(L(L(x,y,y),a(y,y,x),z),a(y,y,x)) = L(a(y,y,x),L(x,y,y),z) \ x. x * a(a(y,z,z),x,x) = L(x,x,a(z,z,y)). L(x * a(x,x,L(a(y,z,u),w,v5)),a(y,z,u),L(x,w,v5)) = L(x,L(x,w,v5),a(y,z,u)). L(1 / (K(x,y) / y),L(T(1 / (1 / y),x),z,u),w) = a(w,1 / (1 / y),L(y,z,u)) \ T(1 / (1 / y),x). L(L(x,y,z),y,z) * (u \ L(x,w,v5)) = x * (u \ L(L(L(x,y,z),y,z),w,v5)). a((x \ 1) \ y,z,a(u,w,v5)) = a(x \ y,z,a(u,w,v5)). a(x * (y * (z * z)),u,a(w,v5,v6)) = a(x * y,u,a(w,v5,v6)). L(L(x,y,z) \ L(L(x,y,z),u,w),(x \ L(x,y,z)) * L(x \ 1,x \ 1,L(x,y,z)),v5) = L(L(x,y,z) \ L(L(x,y,z),u,w),L(x,y,z),v5). L(x,a(y \ L(y,z,u),w,v5),v6) = L(x,a(y * L(y,z,u),w,v5),v6). L(x,x,y) * (a(y,x,x) * (R(x,x,y) * (x \ z))) = R(x,x,y) * L(z,a(y,x,x),L(x,x,y)). x * (a(x,x,y * L(y,z,u)) * (L(y,z,u) \ y)) = (1 / x) \ (L(y,z,u) \ y). a(x,y,L(z,L(L(u,u,w),w,w),v5)) = a(x,y,L(z,(u \ w) * w,v5)). L((x * (y / (x * y))) \ z,a(x,x,y),a(x,x,y)) = (y \ ((x \ 1) * (x * y))) * z. L(x \ L(x,y,z),x,y) = a(z,y,x) \ 1. L((x \ L(x,y,z)) \ L(x \ L(x,y,z),x,u),x,u) = L(x \ L(x,y,z),x,u) \ (x \ L(x,y,z)). L(x \ ((x / y) * L(y,z,u)),y,x) = y \ L(y,z,u). (L(x,y,z) * L(x \ 1,y,z)) * ((u \ (((L(x,y,z) * L(x \ 1,y,z)) \ (u * 1)) * w)) / w) = a(u,L(x,y,z) \ (L(x \ 1,y,z) \ 1),w). (x * ((L(y,z,u) * L(y \ 1,z,u)) \ w)) \ v5 = (x * w) \ ((L(y,z,u) * L(y \ 1,z,u)) * v5). ((L(x,y,z) * L(x \ 1,y,z)) \ u) * w = u * ((L(x,y,z) * L(x \ 1,y,z)) \ w). (x * y) * (x * (y / (x * y))) = (x \ 1) \ y. a(x \ a(y,z,x),a(u,w,v5),v6) = a(x * a(y,z,x),a(u,w,v5),v6). x \ (((x \ 1) \ y) * L(((x \ 1) \ y) \ x,z,u)) = L(y \ L(y,z,u),x,x). L(a(x,x,y \ L(y,z,u)),w * w,v5) \ 1 = a(x,x,y * L(y,z,u)). L(x,a(y \ (y \ z),y,y \ z),a(u,w,v5)) = L(x,a(y,y,z),a(u,w,v5)). L(x,y * (z * (u \ 1)),a(w,v5,v6)) = L(x,y * (z * u),a(w,v5,v6)). a(x,L(y \ 1,z,u),a(w,v5,v6)) = a(x,L(y,z,u),a(w,v5,v6)). (x \ y) \ (a(z,x \ y,a(u,w,v5)) \ (x \ y)) = a(a(u,w,v5),(x \ 1) \ y,z). x \ (y * L(y \ x,x \ y,a(z,u,w))) = a(x \ y,x \ (y \ 1),a(z,u,w)). a(x,((y \ 1) * z) \ y,a(u,w,v5)) = a(x,y \ (z \ (y \ 1)),a(u,w,v5)). a(x,((y \ 1) * (((y \ 1) * z) \ z)) \ y,a(u,w,v5)) = a(x,(((1 / y) * z) \ z) \ 1,a(u,w,v5)). ((x * (L(x,y,z) \ z)) * u) \ (z * (u * (L(x,y,z) \ x))) = a(u,x \ L(x,y,z),z). x * ((L(1 / x,y,z) \ 1) \ (u * (L(x,y,z) \ x))) = L(u,x,x \ L(x,y,z)). R(x / y,L(y,z,u),L(y,z,u)) = x * (y \ 1). R(x,L(y \ z,y,z),z * y) = R(x,y \ z,y \ z). R(x / L(y,z,u),y,y) = x * (L(y,z,u) \ 1). a(x,y,R(z,L(u,w,v5),L(u,w,v5))) = a(x,y,L(z,u,u)). R(x,y,y) * (y * L(L(y,z,u),z,u)) = (x * L(y,z,u)) * L(y,z,u). R(x,y,z) \ (u / (R(x,y,z) \ 1)) = x \ (u / (x \ 1)). (L(x,y,z) * (x \ u)) / (x \ 1) = u / (L(x,y,z) \ 1). L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = K(v6,v5) * R(T(v5,v6 / a(x,y,z)),v6,L(a(x,y,z) \ 1,u,w)). L(a(x,y,L(a(z,u,w) \ 1,v5,v6)) \ y,x,L(a(z,u,w) \ 1,v5,v6)) = 1 * L(y,L(a(z,u,w) \ 1,v5,v6),x). a(x,L(y * z,y,y),y \ z) * x = R(x,L(y * z,y,y),y \ z). R(x * K(y * z,x),L(y * z,y,y),y \ z) = (L(y * z,y,y) * x) * (L(y * z,y,y) \ 1). a(x,y,z \ (R(u,u,L(w,v5,v5)) \ L(w,v5,v5))) = a(x,y,z \ (u * (v5 \ (v5 \ w)))). L(R(x,y,z),u,w) * (R(T(x,v5),y,z) \ v5) = K(x,v6) * (L(T(x,v6),y,z) \ (v5 * L(L(x,u,w),y,z))). a(x \ y,(x \ y) \ L(x \ y,x,x \ 1),z) = a(z,x \ y,a(x,x \ 1,y)) \ 1. ((x \ 1) * y) \ (L((x \ 1) * y,z,u) * w) = (y * x) \ (L(y * x,z,u) * w). L(x,a(y,z,(u \ w) * w),u) = L(x,u,a(y,z,(w / u) * w)). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y) = y * a(a(x,y,z),y,y). (a(a(x,y,z),y,y) \ K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,a(x,y,z) / ((x \ ((x * y) * z)) / z))) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. (L(x,a(y,z,1 / x),u) \ x) * x = (a(x,a(y,z,x),u) / x) \ 1. a(x,y,z * (u * L(w * v5,v5,v5))) = a(x,y,z * (u * (v5 \ w))). a(x,y,z * (u * L(w * v5,w,w))) = a(x,y,z * (u * (w \ v5))). a(x,y,z * (((u \ 1) \ w) \ v5)) = a(x,y,z * ((u \ w) \ v5)). a(x,y,z * ((u \ (w \ K(v5,v6))) \ v7)) = a(x,y,(((u \ 1) \ w) \ v7) * z). a(x,y,((z * (u \ (z \ u))) \ w) * v5) = a(x,y,v5 * ((z \ (u \ (z \ u))) \ w)). a(x,y,(z \ u) * L(L(z * u,z,z) \ w,z * u,z * u)) = a(x,y,L(w,z * u,z * u)). R(x,y,z) * (L(L(x,y,z),u,w) * (x * (L(x,y,z) \ v5))) = L(R(x,y,z),u,w) * (x * v5). L(x,a(y,z,x),z) \ L(x,z,y) = a(y,z,x) \ 1. L(L(x,y,z) \ 1,a(z,y,L(x,y,z) \ 1),y) = (x \ 1) * a(z,y,L(x,y,z)). (L(L(x,y,z),y,z) \ x) * u = x * (L(L(x,y,z),y,z) \ u). x \ (y * L(y \ x,x * y,a(z,u,w))) = L(a(x * y,x * y,a(z,u,w)),x,y). (x / y) * (y * (((y \ x) * y) \ L((y \ x) * y,z,u))) = x * (y \ ((x / y) \ L(x,z,u))). x \ (y * L(y \ x,y * x,z)) = a(z,y * x,x \ y) \ 1. ((x \ 1) * (x * y)) \ 1 = x \ ((x \ 1) \ (y \ 1)). a(x,y,z \ ((u \ 1) \ (((u \ a(w,v5,w)) * v6) * z))) = a(x,y,L(L(v6 * a(w,v5,w),z,1 / u),1 / u,z)). L(a(x,x,y),L(y,x,x),z) \ y = L(L(y,x,x),a(x,x,y),z). L(L(x,x,L(a(y,z,u),w,v5)),a(y,z,u),L(x,w,v5)) = L(x,L(x,w,v5),a(y,z,u)). x \ L(x,x,x \ a(y,x,z)) = K(x,x \ 1). L(1 / (K(x,y) / y),L(T(1 / (1 / y),x),z,u),w) = a(w,y,L(y,z,u)) \ T(1 / (1 / y),x). a(x \ (L(x \ 1,y,z) \ (x \ 1)),u,a(w,v5,v6)) = a(L(x \ 1,y,z) \ 1,u,a(w,v5,v6)). a(x \ y,(x \ 1) \ y,a(z,u,w)) \ a(z,u,w) = L(a(z,u,w),(x \ 1) \ y,(x \ 1) \ y). a(x,y,z) * a(u \ w,((u \ 1) \ w) \ 1,a(x,y,z)) = (((u \ 1) \ w) \ 1) \ (((u \ 1) \ w) \ a(x,y,z)). a((x \ 1) * y,z,a(u,w,v5)) = a(y * x,z,a(u,w,v5)). a(x * (y \ 1),z,a(u,w,v5)) = a(x * y,z,a(u,w,v5)). L(L(x \ L(x,y,z),u,w),(x \ L(x,u,w)) * L(x \ 1,x \ 1,L(x,u,w)),v5) = L(L(x,u,w) \ L(L(x,u,w),y,z),L(x,u,w),v5). L(x \ L(x,x * y,z),x,y) = a(z,x * y,x) \ 1. x \ ((x / y) * L(y,x,z)) = a(z,x,y) \ 1. x \ (y * L(y \ x,x,z)) = a(z,x,y \ x) \ 1. x \ (y * L(y \ x,y,z)) = a(z,y,y \ x) \ 1. L((x \ L(x,y,z)) \ L(x \ L(x,y,z),x,u),x,u) = a(u,x,x * L(x,y,z)). (x \ ((x / y) * L(y,z,u))) \ ((y \ L(y,z,u)) \ (x \ ((x / y) * L(y,z,u)))) = L(x \ ((x / y) * L(y,z,u)),y,x) \ 1. (L(x,y,z) * L(x \ 1,y,z)) * ((u \ (((L(x,y,z) * L(x \ 1,y,z)) \ u) * w)) / w) = a(u,L(x,y,z) \ (L(x \ 1,y,z) \ 1),w). (x * ((L(y,z,u) * L(y \ 1,z,u)) \ w)) \ v5 = ((x * w) \ v5) * (L(y,z,u) * L(y \ 1,z,u)). (x * ((L(y,z,u) * L(y \ 1,z,u)) \ w)) * v5 = (x * w) * ((L(y,z,u) * L(y \ 1,z,u)) \ v5). (x \ ((x * y) * ((L(z,u,w) * L(z \ 1,u,w)) \ v5))) / (x \ (((L(z,u,w) * L(z \ 1,u,w)) \ y) * v5)) = R(x,(L(z,u,w) * L(z \ 1,u,w)) \ y,v5). a(x,y,z * ((u * w) * ((L(v5,v6,v7) * L(v5 \ 1,v6,v7)) \ v8))) = a(x,y,z * (v8 * (((L(v5,v6,v7) * L(v5 \ 1,v6,v7)) \ w) * u))). x \ ((y / x) \ L(y,z,u)) = L(y \ L(y,z,u),x,x). a(x \ L(x,y,z),u,u) = a(u,u,x * L(x,y,z)). L(x,((y \ 1) * z) * u,a(w,v5,v6)) = L(x,u * (z * y),a(w,v5,v6)). a(a(x,y,z),(u \ 1) \ w,v5) = a(a(x,y,z),u \ w,v5). a(x,((y \ 1) * z) \ y,a(u,w,v5)) = a(x,y \ (z \ y),a(u,w,v5)). a(x,((y \ 1) * (((y \ 1) * z) \ z)) \ y,a(u,w,v5)) = a(x,((1 / y) * z) \ z,a(u,w,v5)). a(x,y \ L(y,z,u),u) = a(x,u,L(y,z,u) \ y). x * ((((1 / x) * a(1 / x,a(y,z,1 / x),u)) \ 1) \ (w * (L(x,a(y,z,1 / x),u) \ x))) = L(w,x,x \ L(x,a(y,z,1 / x),u)). (L(x,y,z) * u) * (L(x,y,z) \ 1) = (x * u) * (x \ 1). R(x / L(1 / y,z,u),1 / y,1 / y) = x * (y * (L(y,z,u) \ y)). x * (L(x,y,z) \ (u * (x \ 1))) = u * (L(x,y,z) \ 1). L(x,y,z) * (u * (L(x,y,z) \ 1)) = x * (u * (x \ 1)). (x / L(y,z,u)) * ((x * (L(y,z,u) \ 1)) \ y) = L(y,y,x / L(y,z,u)). a(x / L(y,z,u),y,y) \ y = (x / L(y,z,u)) * ((x * (L(y,z,u) \ 1)) \ y). a(x,y,L(z,L(u,w,v5),L(u,w,v5))) = a(x,y,L(z,u,u)). (x * L(y,z,u)) * L(y,z,u) = (x * y) * L(L(y,z,u),z,u). R(x,y,z) \ T(u / (R(x,y,z) \ 1),R(x,y,z) \ 1) = ((R(x,y,z) \ 1) \ (x \ (u / (x \ 1)))) * (R(x,y,z) \ 1). ((x / y) * L(y,z,u)) / (y \ 1) = x / (L(y,z,u) \ 1). L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = K(v6,v5) * R(T(v5,v6),v6,L(a(x,y,z) \ 1,u,w)). L(a(x,y,L(a(z,u,w) \ 1,v5,v6)) \ y,x,L(a(z,u,w) \ 1,v5,v6)) = L(y,L(a(z,u,w) \ 1,v5,v6),x). a(x,y,z \ (u * (w \ (w \ v5)))) = a(x,y,z \ (u * L(v5,w,w))). L(R(x,y,z),u,w) * (R(T(x,v5),y,z) \ v5) = L(x,y,z) \ (v5 * L(L(x,u,w),y,z)). a(x \ y,(x \ y) \ L(x \ y,x,x \ 1),z) = a(z,x \ y,a(y,x,x)) \ 1. ((x \ 1) * y) \ (L((x \ 1) * y,z,u) * w) = (w / (y * x)) * L(y * x,z,u). L(x,a(y,z,(u \ w) * w),u) = L(x,u,a(y,z,(u \ w) * w)). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y) = L(1 / y,y,a(x,y,z)) \ 1. (a(a(x,y,z),y,y) \ K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,a(x,y,z) * (z / (x \ ((x * y) * z))))) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. (a(x,a(y,z,x),u) / x) \ 1 = (L(x,a(y,z,x),u) \ x) * x. a(x,y,((z \ u) \ (u * w)) \ (L(z,z,u) \ w)) = a(x,y,(L(z,z,u) \ w) * ((z \ u) \ (u * w))). a(x,y,z * ((u \ (w \ K(v5,v6))) \ v7)) = a(x,y,z * ((u \ w) \ v7)). R(x,y,z) * (x * (L(L(x,y,z),u,w) * (L(x,y,z) \ v5))) = L(R(x,y,z),u,w) * (x * v5). L(x,a(y,a(z,u,y),x),a(z,u,y)) \ L(x,a(z,u,y),y) = a(x,y,a(z,u,y)). L(x,a(y,a(y,z,u),x),a(y,z,u)) \ L(x,y,a(y,z,u)) = a(y,a(y,z,u),x) \ 1. x \ (y * L(y \ x,x * y,a(z,u,w))) = a(x * y,x * y,L(a(z,u,w),x,y)). x \ (y * L(y \ x,x * y,z)) = a(z,y * x,x \ y) \ 1. (x \ 1) * (x * (y \ ((y \ 1) \ (x \ 1)))) = ((y \ 1) * (y * x)) \ 1. (x * (y \ ((y \ 1) \ (x \ 1)))) \ 1 = (((y \ 1) * (y * x)) \ 1) \ (x \ 1). a(x,y,L(L(z * a(u,w,u),v5,1 / v6),1 / v6,v5)) = a(x,y,v5 \ (v6 \ (((v6 \ a(u,w,u)) * z) * v5))). a(x,x,L(y,L(y,x,x),z)) \ y = L(L(y,x,x),a(x,x,y),z). L(L(x,a(y,z,u),x),x,L(a(y,z,u),w,v5)) = L(x,L(x,w,v5),a(y,z,u)). L(1 / (K(x,y) / y),L(T(1 / (1 / y),x),z,u),w) = T(a(w,y,L(y,z,u)) \ (1 / (1 / y)),x). a(x \ y,x \ y,a(z,u,w)) \ a(z,u,w) = L(a(z,u,w),(x \ 1) \ y,(x \ 1) \ y). a(x \ (L(x \ 1,y,z) \ (x \ 1)),u,a(w,v5,v6)) = a(L(x \ 1,y,z),u,a(w,v5,v6)). (((x \ 1) \ y) \ 1) \ (((x \ 1) \ y) \ a(z,u,w)) = a(z,u,w) * a(x \ y,(x \ 1) \ y,a(z,u,w)). L(L(x \ L(x,y,z),u,w),(x \ L(x,u,w)) * L(x \ 1,x \ 1,x),v5) = L(L(x,u,w) \ L(L(x,u,w),y,z),L(x,u,w),v5). (x \ y) \ ((z * x) \ (z * y)) = a(z,x,y \ x) \ 1. a(x,y,x \ y) = a(x,y,x * y). L(x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)),x,u) = a(u,x,x * L(x,y,z)). (x \ ((x / y) * L(y,z,u))) \ a(y,y \ L(y,z,u),x) = L(x \ ((x / y) * L(y,z,u)),y,x) \ 1. (L(x,y,z) * L(x \ 1,y,z)) * ((u \ (u * ((L(x,y,z) * L(x \ 1,y,z)) \ w))) / w) = a(u,L(x,y,z) \ (L(x \ 1,y,z) \ 1),w). ((x * y) \ z) * (L(u,w,v5) * L(u \ 1,w,v5)) = (x * (y * (L(L(u,w,v5),w,v5) \ u))) \ z. (x * y) * ((L(z,u,w) * L(z \ 1,u,w)) \ v5) = (x * (y * (L(L(z,u,w),u,w) \ z))) * v5. (x \ ((x * y) * ((L(z,u,w) * L(z \ 1,u,w)) \ v5))) / (x \ (y * ((L(z,u,w) * L(z \ 1,u,w)) \ v5))) = R(x,(L(z,u,w) * L(z \ 1,u,w)) \ y,v5). a(x,y,z * (u * (((L(w,v5,v6) * L(w \ 1,v5,v6)) \ v7) * v8))) = a(x,y,z * ((v8 * v7) * u)). x * L(y \ L(y,z,u),x,x) = (y / x) \ L(y,z,u). L(L(x,y,z) \ x,u,u) \ 1 = L(x \ L(x,y,z),u,u). L((x \ (y \ 1)) \ L(x \ (y \ 1),z,u),y \ 1,y \ 1) = (y \ 1) \ (((x \ y) / y) \ L(x \ (y \ 1),z,u)). (x \ 1) * L(y \ L(y,z,u),x,x) = x \ (y \ L(y,z,u)). (x / y) * (y * (((y \ x) * y) \ L((y \ x) * y,z,u))) = x * L(x \ L(x,z,u),y,y). (x \ R(x,y,z)) * a(u,u,x * L(x,y,z)) = L(x \ R(x,y,z),u,u). a(x,y,L(a(z,u,w),a(z,u,w),u)) = a(x,y,a(w,u,z)). x * ((y \ (z \ ((z * (y * u)) / u))) \ L(L(L(u \ L(u,y,z),w,w),u,z * y),w,w)) = (a(w,w,a(u,y,z)) * a(w,w,y \ (z \ ((z * (y * u)) / u)))) \ x. a(x,((y \ 1) * (((y \ 1) * z) \ z)) \ y,a(u,w,v5)) = a(x,z \ ((1 / y) \ z),a(u,w,v5)). a(x,y \ L(y,z,u),u) = a(x,u,y * L(y,z,u)). x * ((((1 / x) * a(1 / x,a(y,z,x),u)) \ 1) \ (w * (L(x,a(y,z,1 / x),u) \ x))) = L(w,x,x \ L(x,a(y,z,1 / x),u)). a(L(x,L(y,z,u),L(y,z,u)),w,v5) = a((y * x) * (y \ 1),w,v5). R(x / L(1 / y,z,u),y \ 1,y) = x * (y * (L(y,z,u) \ y)). (x / (y \ 1)) * (L(y,z,u) \ 1) = y * (L(y,z,u) \ x). ((a(x,y,z) \ 1) \ u) * (L(a(x,y,z),w,v5) \ 1) = a(x,y,z) * (L(a(x,y,z),w,v5) \ u). L(L(x,y,z) \ x,u,w) * (v5 * (L(L(x,y,z) \ x,u,w) \ 1)) = (v5 * ((L(x,y,z) \ x) \ 1)) * (L(x,y,z) \ x). a(L(x,y,z),L(x,y,z) \ 1,u) = T(u,x \ 1) / (x * (u * (x \ 1))). L(x,L(y,L(z,u,w),L(z,u,w)),v5) = L(x,z * (y * (z \ 1)),v5). (x / L(y,z,u)) * ((x * (L(y,z,u) \ 1)) \ y) = L(y,y,L(y,z,u) \ x). a(L(x,y,z) \ u,x,x) \ x = (u / L(x,y,z)) * ((u * (L(x,y,z) \ 1)) \ x). ((R(x,y,z) \ 1) \ (x \ (u / (x \ 1)))) * (R(x,y,z) \ 1) = R(x,y,z) \ ((R(x,y,z) \ 1) \ u). x * ((L(1 / x,y,z) \ 1) \ u) = (u / x) * L(x,y,z). L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = K(v6,v5) * R(T(v5,v6),v6,L(a(x,y,z),u,w)). L(a(x,y,L(a(z,u,w),v5,v6)) \ y,x,L(a(z,u,w) \ 1,v5,v6)) = L(y,L(a(z,u,w) \ 1,v5,v6),x). a(x,y,z \ (L(u,w \ 1,w) * v5)) = a(x,y,z \ (v5 * L(u,w,w))). a(x,y,z \ (u * L(w * v5,w,w))) = a(x,y,z \ (u * (w \ v5))). (x * (L(x,y,z) \ (u * L(L(x,w,v5),y,z)))) / x = (u * L(R(x,y,z),w,v5)) / R(x,y,z). a(x \ y,(x \ y) \ ((1 / x) * y),z) = a(z,x \ y,a(y,x,x)) \ 1. (x / ((y \ 1) * z)) * L((y \ 1) * z,u,w) = (x / (z * y)) * L(z * y,u,w). (a(x,a(y,z,x),u) / x) \ 1 = a(u,x,a(y,z,x)) * x. a(x,y,z * ((R(1 / u,u,w \ K(v5,v6)) \ w) \ v7)) = a(x,y,z * ((u * (w \ K(v5,v6))) \ v7)). x * (R(x,y,z) * (L(L(x,y,z),u,w) * (L(x,y,z) \ v5))) = L(R(x,y,z),u,w) * (x * v5). L(x,a(y,z,u),a(u,a(y,z,u),x)) \ L(x,a(y,z,u),u) = a(x,u,a(y,z,u)). L(x,a(y,z,u),a(y,a(y,z,u),x)) \ L(x,y,a(y,z,u)) = a(y,a(y,z,u),x) \ 1. a(x * y,x * y,L(a(z,u,w),x,y)) = a(a(z,u,w),y * x,x \ y) \ 1. (x * (y \ ((y \ 1) \ (x \ 1)))) \ 1 = (y \ ((y \ 1) \ (x \ 1))) \ (x \ 1). a(x,y,L(L(z * a(u,w,u),v5,v6 \ 1),1 / v6,v5)) = a(x,y,v5 \ (v6 \ (((v6 \ a(u,w,u)) * z) * v5))). L(x,L(x,y,z),a(u,w,v5)) = L(x,x,L(a(u,w,v5),y,z)). (x * (a(y,z,u) * a(y,z,u))) * T(w,x) = (w * (a(y,z,u) * a(y,z,u))) * x. L(a(x,y,z),(u \ 1) \ w,(u \ 1) \ w) = L(a(x,y,z),u \ w,u \ w). a(x \ (L(x,y,z) \ x),u,a(w,v5,v6)) = a(L(x \ 1,y,z),u,a(w,v5,v6)). (((x \ 1) \ y) \ 1) \ (((x \ 1) \ y) \ a(z,u,w)) = a(z,u,w) * a(x \ y,x \ y,a(z,u,w)). L(L(x \ L(x,y,z),u,w),(x \ L(x,u,w)) * T(x \ 1,x),v5) = L(L(x,u,w) \ L(L(x,u,w),y,z),L(x,u,w),v5). a(x,y * x,x \ (y * x)) = a(x,y * x,L(y,x,x)). ((x * y) \ (x * z)) \ (y \ z) = a(x,y,z \ y). L(a(x,x \ L(x,y,z),u),x,u) = a(u,x,x * L(x,y,z)). (x \ ((x / y) * L(y,z,u))) \ a(y,y \ L(y,z,u),x) = (y \ L(y,z,u)) \ 1. a(x,L(y,z,u) \ (L(y \ 1,z,u) \ 1),w) = (L(y,z,u) * L(y \ 1,z,u)) * (((L(y,z,u) * L(y \ 1,z,u)) \ w) / w). (x * (y * (L(L(z,u,w),u,w) \ z))) \ v5 = ((x * y) \ v5) * (z \ L(L(z,u,w),u,w)). (x * (y * (L(L(z,u,w),u,w) \ z))) * v5 = (x * y) * (v5 * (L(L(z,u,w),u,w) \ z)). R(x,(L(y,z,u) * L(y \ 1,z,u)) \ w,v5) = R(x,w,(L(y,z,u) * L(y \ 1,z,u)) \ v5). a(x,y,z * (u * (w * ((L(v5,v6,v7) * L(v5 \ 1,v6,v7)) \ v8)))) = a(x,y,z * ((v8 * w) * u)). T((x / (y \ L(y,z,u))) * L(y \ L(y,z,u),x,x),y \ L(y,z,u)) = (y \ L(y,z,u)) \ ((y / x) \ L(y,z,u)). ((x \ 1) / y) \ L(x \ 1,z,u) = y * L(x \ L(x,z,u),y,y). x \ ((x / (y \ L(y,z,u))) * L(y \ L(y,z,u),x,x)) = (x * (y \ L(y,z,u))) \ ((y / x) \ L(y,z,u)). ((L(x,y,z) \ 1) / u) \ L(L(x,y,z) \ 1,y,z) = u * L((L(x,y,z) \ 1) \ (x \ 1),u,u). L(x \ L(x,y,z),u,u) \ 1 = L(L(x,y,z) \ x,u,u). L((x \ (y \ 1)) \ L(x \ (y \ 1),z,u),y \ 1,y \ 1) = (y \ 1) \ (y \ (x \ (y * L(y \ x,z,u)))). (x / y) * (y * (x \ L(x,z,u))) = x * L(x \ L(x,z,u),y,y). L(x \ R(x,y,L(a(z,u,w),a(z,u,w),u)),x,L(a(z,u,w),a(z,u,w),u) * y) = a(x,y,a(w,u,z)). a(x,y,L(a(z,u,w \ (v5 * v6)),a(z,u,w \ ((v5 \ 1) * v6)),u)) = a(x,y,a(w \ ((v5 \ 1) * v6),u,z)). a(x,y,L(a(z,u,(w \ v5) \ v6),a(z,u,((w \ 1) \ v5) \ v6),u)) = a(x,y,a(((w \ 1) \ v5) \ v6,u,z)). a(x,y,L(a(z,u,L(w \ v5,v5,v5)),a(z,u,L(w,v5,v5) \ v5),u)) = a(x,y,a(L(w,v5,v5) \ v5,u,z)). x * ((y \ (z \ ((z * (y * u)) / u))) \ L(L(L(u \ L(u,y,z),w,w),u,z * y),w,w)) = (a(w,w,a(u,y,z)) * a(w,w,y \ (z \ (u \ (z * (y * u)))))) \ x. a(x,((y \ 1) * (((y \ 1) * z) \ z)) \ y,a(u,w,v5)) = a(x,z \ ((y \ 1) \ z),a(u,w,v5)). x * ((((1 / x) * a(x \ 1,a(y,z,x),u)) \ 1) \ (w * (L(x,a(y,z,1 / x),u) \ x))) = L(w,x,x \ L(x,a(y,z,1 / x),u)). a(L(x,L(y,z,u),L(y,z,u)),w,v5) = a(L(x,y,y),w,v5). x * (L(x,y,z) \ (u * x)) = u * (x * (L(x,y,z) \ x)). (x * (L(x,y,z) \ u)) * x = u * (x * (L(x,y,z) \ x)). (L(x,y,z) \ 1) * ((x \ 1) \ u) = x * (L(x,y,z) \ u). (x / y) * (L(1 / y,z,u) \ 1) = y * (L(y,z,u) \ x). a(L(x,y,z),L(x,y,z) \ 1,u) = a(x,x \ 1,u). L(x,L(y,L(z,u,w),L(z,u,w)),v5) = L(x,L(y,z,z),v5). R(x,y,z) \ ((R(x,y,z) \ 1) \ u) = ((x \ 1) \ (x \ (u / (x \ 1)))) * (x \ 1). L(L(x,y,z) \ x,x,u) \ u = (u / x) * L(x,y,z). (L(1 / x,y,z) \ 1) \ (x * u) = (u / x) * L(x,y,z). L(L(x,y,z),y,z) * (L(x,y,z) \ u) = (u / x) * L(x,y,z). x * ((x * a(y,x,x)) \ z) = (z / x) * L(x,x,y). x * (L(x,y,z) \ ((L(1 / x,u,w) \ 1) \ v5)) = L(x,y,z) \ ((v5 / x) * L(x,u,w)). L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = K(v6,v5) * L(T(v5,v6),v6,L(a(x,y,z),u,w)). a(x,y,z \ (u * ((w * K(v5 \ 1,w * v5)) * v5))) = a(x,y,z \ (u * L(w / (v5 \ 1),v5,v5))). (x * L(R(y,z,u),w,v5)) / R(y,z,u) = (x * L(L(y,w,v5),z,u)) / L(y,z,u). ((x \ y) / y) \ L(x \ (y \ 1),z,u) = ((y \ 1) / (x * y)) * L(x * y,z,u). a(x,y,z * ((R(1 / u,u,w \ K(v5,v6)) \ w) \ v7)) = a(x,y,z * ((u * (w \ 1)) \ v7)). x \ L(x,a(y,z,u),u) = a(x,u,a(y,z,u)). a(x,a(x,y,z),u) \ 1 = u \ L(u,x,a(x,y,z)). a(x,y,L(L(z * a(u,w,u),v5,v6 \ 1),v6 \ 1,v5)) = a(x,y,v5 \ (v6 \ (((v6 \ a(u,w,u)) * z) * v5))). L(x \ L(x,x,L(a(y,z,u),w,v5)),w,v5) = a(L(x,w,v5),L(x,w,v5),a(y,z,u)). a(L(x,y,z) \ 1,u,a(w,v5,v6)) = a(L(x \ 1,y,z),u,a(w,v5,v6)). L(L(x \ L(x,y,z),u,w),T((x \ 1) * (x \ L(x,u,w)),x),v5) = L(L(x,u,w) \ L(L(x,u,w),y,z),L(x,u,w),v5). a(x,y * x,L(y,x,x)) = a(x,y * x,y). a(x,x \ L(x,y,z),u) = a(u,x,x * L(x,y,z)). (x \ ((x / y) * L(y,z,u))) \ a(y,y \ L(y,z,u),x) = L(y,z,u) \ y. a(x,L(y,z,u) \ (L(y \ 1,z,u) \ 1),w) = (L(y,z,u) * L(y \ 1,z,u)) * (L(y,z,u) \ (L(1 / y,z,u) \ 1)). R(x,(L(y,z,u) * L(y \ 1,z,u)) \ w,v5) = R(x,w,(L(y,z,u) * L(y,z,u)) \ v5). T(((x \ L(x,y,z)) \ u) * L(x \ L(x,y,z),u,u),x \ L(x,y,z)) = (x \ L(x,y,z)) \ ((x / u) \ L(x,y,z)). ((x \ 1) / y) \ L(x \ 1,z,u) = (x / y) \ L(x,z,u). x \ ((x / (y \ L(y,z,u))) * L(y \ L(y,z,u),x,x)) = a(x,x,y * L(y,z,u)). ((L(x,y,z) \ 1) / u) \ L(L(x,y,z) \ 1,y,z) = u * L(x \ L(x,y,z),u,u). L(x \ (y * L(y \ x,z,u)),w,w) \ 1 = L(L(x \ y,z,u) \ (x \ y),w,w). L(x \ ((y \ 1) * L((y \ 1) \ x,z,u)),y \ 1,y \ 1) = (y \ 1) \ (y \ (x \ (y * L(y \ x,z,u)))). (x * (y \ L(y,z,u))) * T(y / x,x) = y * L(y \ L(y,z,u),x,x). a(((x \ L(x,y,z)) * (x \ L(x,y,z))) * ((x / (x \ L(x,y,z))) * u),w,v5) = a(u * (x * L(x \ L(x,y,z),x \ L(x,y,z),x \ L(x,y,z))),w,v5). a(x,y,a(z,z * u,z * u)) = a(x,y,a(z,u * z,u)). L(x \ L(x,y,a(z,u,w)),x,L(a(w,u,z),a(w,u,z),u) * y) = a(x,y,a(z,u,w)). a(x,y,L(a(z,u,w \ (v5 * v6)),a(z,u,w \ (v5 * v6)),u)) = a(x,y,a(w \ ((v5 \ 1) * v6),u,z)). a(x,y,L(a(z,u,(w \ v5) \ v6),a(z,u,(w \ v5) \ v6),u)) = a(x,y,a(((w \ 1) \ v5) \ v6,u,z)). a(x,y,L(a(z,u,L(w \ v5,v5,v5)),a(z,u,L(w \ v5,v5,v5)),u)) = a(x,y,a(L(w,v5,v5) \ v5,u,z)). x * ((y \ (z \ ((z * (y * u)) / u))) \ L(L(L(u \ L(u,y,z),w,w),u,z * y),w,w)) = (a(w,w,a(u,y,z)) * a(w,w,a(u,y,z))) \ x. a(x,(((y / z) / y) * z) \ z,a(u,w,v5)) = a(x,y \ ((z \ 1) \ y),a(u,w,v5)). x * ((((1 / x) * a(x,a(y,z,x),u)) \ 1) \ (w * (L(x,a(y,z,1 / x),u) \ x))) = L(w,x,x \ L(x,a(y,z,1 / x),u)). (x / y) * (y * (L(y,z,u) \ y)) = y * (L(y,z,u) \ x). (x * y) * (L(z,y,x) * (L(L(z,y,x),u,w) \ L(z,y,x))) = L(z,y,x) * (L(L(z,y,x),u,w) \ (x * (y * z))). (x \ y) * (x * (L(x,z,u) \ x)) = (L(x,z,u) \ y) * x. (x \ 1) \ ((L(x,y,z) \ 1) * u) = x * (L(x,y,z) \ u). L(x,y,z) * (L(L(x,y,z),y,z) \ u) = x * (L(x,y,z) \ u). L(L(x,y,z) \ x,x,u) * u = x * (L(x,y,z) \ u). (x / y) * (z \ ((1 / z) \ y)) = y * (L(y,z,z \ 1) \ x). (x \ 1) * (x * (L(x,y,z) \ u)) = (L(x,y,z) \ 1) * u. (x * (L(x,y,z) \ x)) * u = x * (x * (L(x,y,z) \ u)). x * L(L(y \ z,u,w) \ (y \ z),y \ z,x) = (y \ z) * (L(y \ z,u,w) \ x). (x * a(y,y,x)) * (x \ z) = x * (L(x,y,y) \ z). x * L(L(y,z,u) \ y,y,x) = y * (L(y,z,u) \ x). L(L(x,y,z) \ x,x,u) = u \ (x * (L(x,y,z) \ u)). L(x,y,z) * (L(L(x,y,z),u,w) \ (z * (y * x))) = (z * y) * (L(1 / L(x,y,z),u,w) \ 1). ((x / y) / ((L(1 / y,z,u) \ 1) \ 1)) \ (y * (L(y,z,u) \ x)) = a(x / y,L(1 / y,z,u) \ 1,L(1 / y,z,u) \ 1). (x * (L(x,x,y) \ z)) \ (z * a(y,x,x)) = a(z,x,a(y,x,x)). a(L(x,x,y),L(x \ 1,x,y),z) = a(x,x \ 1,z). R(L(x,y,z),L(x,y,z) \ 1,u) = a(x,x \ 1,u) * L(x,y,z). L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = L(v5,v6,L(a(x,y,z),u,w)). (x * L(R(y,z,u),w,v5)) / R(y,z,u) = L(L(y,z,u),w,v5) * (L(y,z,u) \ x). ((x \ 1) / (y * x)) * L(y * x,z,u) = x \ (y \ (x * L(x \ y,z,u))). (x * (a(y,z,u) * a(y,z,u))) * w = x * (w * (a(y,z,u) * a(y,z,u))). a(x,y,z * ((R(1 / u,u,w) \ w) \ v5)) = a(x,y,z * ((u * (w \ 1)) \ v5)). x \ L(x,y,a(z,u,y)) = a(x,y,a(z,u,y)). x \ L(x,y,a(y,z,u)) = a(x,y,a(y,z,u)). L(x,y,a(y,z,u)) \ x = a(y,a(y,z,u),x). a(x,y,z \ (u \ (((u \ a(w,v5,w)) * v6) * z))) = a(x,y,L(L(v6 * a(w,v5,w),z,u \ 1),u,z)). L(a(x,x,L(a(y,z,u),w,v5)),w,v5) = a(L(x,w,v5),L(x,w,v5),a(y,z,u)). a(L(x \ 1,y,z),u,a(w,v5,v6)) = a(L(x,y,z),u,a(w,v5,v6)). (x / ((a(y,z,u) \ 1) \ w)) * (w * (a(y,z,u) * a(y,z,u))) = w * ((((a(y,z,u) \ 1) \ w) \ x) * (a(y,z,u) * a(y,z,u))). L(L(x \ L(x,y,z),u,w),T(L(x \ 1,u,w),x),v5) = L(L(x,u,w) \ L(L(x,u,w),y,z),L(x,u,w),v5). a(x,x \ L(x,y,z),z * y) = a(z * y,x,a(x,y,z)). x * a(y,y \ L(y,z,u),x) = L(x,y,y \ L(y,z,u)). a(x,y,y * L(y,z,u)) * w = w * a(y,y \ L(y,z,u),x). L(x,y,z) \ L(x \ L(x,y,z),x,u) = x \ a(u,x,x * L(x,y,z)). L(x,y,z) * (x \ a(u,x,x * L(x,y,z))) = L(x \ L(x,y,z),x,u). (x \ ((x / y) * L(y,z,u))) \ a(x,y,y * L(y,z,u)) = L(y,z,u) \ y. a(x,L(y,z,u) \ (L(y \ 1,z,u) \ 1),w) = (L(y,z,u) * L(y \ 1,z,u)) \ (L(y,z,u) * L(y \ 1,z,u)). R(x,(L(y,z,u) * L(y \ 1,z,u)) \ w,v5) = R(x,w,v5). ((x \ L(x,y,z)) \ u) * L(x \ L(x,y,z),u,u) = (x \ L(x,y,z)) \ ((x / u) \ L(x,y,z)). x \ (((y \ L(y,z,u)) \ x) * L(y \ L(y,z,u),x,x)) = a(x,x,y * L(y,z,u)). ((L(x,y,z) \ 1) / u) \ L(L(x,y,z) \ 1,y,z) = (x / u) \ L(x,y,z). L(x \ (y * L(y \ x,z,u)),y \ 1,y \ 1) = (y \ 1) \ (y \ (x \ (y * L(y \ x,z,u)))). (x * (y \ L(y,z,u))) * (x \ y) = y * L(y \ L(y,z,u),x,x). a(x * (y * L(y \ L(y,z,u),y \ L(y,z,u),y \ L(y,z,u))),w,v5) = a((L(y,z,u) * L(y \ 1,z,u)) * ((y / (y \ L(y,z,u))) * x),w,v5). a(x,y,a(z \ ((u \ 1) * w),v5,v6)) = a(x,y,a(z \ (u * w),v5,v6)). a(x,y,a(((z \ 1) \ u) \ w,v5,v6)) = a(x,y,a((z \ u) \ w,v5,v6)). a(x,y,a(L(z,u,u) \ u,w,v5)) = a(x,y,a(L(z \ u,u,u),w,v5)). x * ((y \ (z \ ((z * (y * u)) / u))) \ L(L(L(u \ L(u,y,z),w,w),u,z * y),w,w)) = x * (a(u,y,z) \ L(L(a(u,y,z),w,w),w,w)). a(x,y \ (((z / y) / z) \ y),a(u,w,v5)) = a(x,z \ ((y \ 1) \ z),a(u,w,v5)). x * (((a(x,a(y,z,x),u) / x) \ 1) \ (w * (L(x,a(y,z,1 / x),u) \ x))) = L(w,x,x \ L(x,a(y,z,1 / x),u)). a(x,y,z \ ((u * ((L(u,w,v5) \ u) \ 1)) * (v6 / u))) = a(x,y,z \ (u * (L(u,w,v5) \ v6))). (x / (y * z)) * ((y * z) * T(y * (z / (y * z)),y * z)) = (y * z) * (L(y * z,(y * z) \ z,y) \ x). L(L(x \ 1,x,x \ (y / z)) \ (z * (L(z,u,w) \ z)),(y / z) \ (x \ (y / z)),y / z) = ((y / z) / x) \ (z * (L(z,u,w) \ y)). 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. x * (L(x,y,z) \ y) = a(z,y,x) * y. x * (L(x,y,z) \ (L(x,y,z) \ u)) = L(L(x,y,z),y,z) \ u. L(x,y,z) \ (L(x,y,z) \ u) = x \ (L(L(x,y,z),y,z) \ u). L(L(x,y,z) \ x,L(x,y,z),u) = L(L(x,y,z) \ x,x,u). L(L(x,y,z) \ x,x,z * y) = a(z,y,x). a(x \ ((y \ z) * (L(y \ 1,u,w) \ 1)),v5,v6) = a(x \ (y * (L(y,u,w) \ z)),v5,v6). a(x,y,L((z \ u) * L(z,w,v5),v6,v7)) = a(x,y,L(z * (L(z,w,v5) \ u),v6,v7)). a(x,y,z * ((u \ w) * L(u,v5,v6))) = a(x,y,z * (u * (L(u,v5,v6) \ w))). L(x,y,z) \ L(u,x \ 1,x) = (L(x,y,z) \ 1) * u. (L(1 / x,y,z) \ 1) * u = x * (x * (L(x,y,z) \ u)). 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. x * (x * (L(x,x,y) \ z)) = (x * a(y,x,x)) * z. (x * (x * (L(x,y,z) \ u))) * L(x \ K(u,x),y,z) = R(u,x * (L(x,y,z) \ x),L(x,y,z)). a(x,y,z \ (u \ (w * (w * (L(w,v5,v6) \ v7))))) = a(x,y,z \ (u \ (v7 * L(w \ 1,v5,v6)))). a(x,y,(z * (z * (L(z,u,w) \ v5))) * v6) = a(x,y,v6 * (v5 * L(z,u,w))). a(x,y,(z * (z * (L(z,u,w) \ v5))) \ v6) = a(x,y,(v5 * L(z,u,w)) \ v6). L(L(x \ y,z,u) \ (x \ y),x \ y,x) = x \ (L(y / x,z,u) \ y). L(L(x,y,z) \ x,x,y * z) = a(z,y,x). (L(x,y,z) * u) * L(L(x,w,v5) \ x,x,L(x,y,z) * u) = x * ((L(x,y,z) * u) / L(T(x,u),w,v5)). x * (L(x,y,z) \ y) = y * a(z,y,x). x \ (y * (L(y,x,z) \ x)) = a(z,x,y). L(x,y,z) * (L(L(x,y,z),u,w) \ (z * (y * x))) = (z * y) * L(L(1 / x,u,w) \ 1,y,z). a(x / y,L(1 / y,z,u) \ 1,L(1 / y,z,u) \ 1) = ((x / y) / L(y \ 1,z,u)) \ (y * (L(y,z,u) \ x)). a(x,a(y,z,z),L(z,z,y)) = a(x,z,a(y,z,z)). a(x,y,a(z,u * z,u * z)) = a(x,y,a(u,z * u,z)). R(L(a(x,y,z),u,w),L(a(x,y,z),u,w) \ 1,v5) = a(a(x,y,z),a(x,y,z),v5) * L(a(x,y,z),u,w). (L(L(x,y,z) \ x,x,u) \ u) * x = u * L(x,y,z). (x / y) * L(y,x,z) = a(z,x,y) \ x. (x * (L(x,y,z) \ x)) \ (x * u) = (u / x) * L(x,y,z). x * (L(x,y,z) \ ((L(1 / x,u,w) \ 1) \ v5)) = x \ (L(x,y,z) \ (L(x,u,w) * v5)). L(R(x,y,z),u,w) * (R(x,y,z) \ v5) = L(L(x,y,z),u,w) * (L(x,y,z) \ v5). (x \ 1) \ (x \ (y \ (x * L(x \ y,z,u)))) = x \ ((x / (y * x)) * L(y * x,z,u)). a(x,y,z * ((u * (w \ 1)) \ v5)) = a(x,y,z * ((u * w) \ v5)). x * a(x,y,a(z,u,y)) = L(x,y,a(z,u,y)). x \ (L(x,y,a(z,u,y)) * L(L(x,y,a(z,u,y)) \ x,w,v5)) = a(x,y,a(z,u,y)) \ L(x \ L(x,y,a(z,u,y)),w,v5). a(x,y,z * L(z,u,a(w,v5,u))) = a(x,y,a(z,u,a(w,v5,u))). L(a(a(x * y,z,u),x * y,y) \ 1,y,x) = a(y,x * y,a(x * y,z,u)). L(x \ L(x,y,a(y,z,u)),w,v5) = a(L(x,w,v5),y,a(y,z,u)). a(x,y,a(y,z,u)) * x = L(x,y,a(y,z,u)). a(x,y,z * L(z,u,a(u,w,v5))) = a(x,y,a(z,u,a(u,w,v5))). a(x,y,z \ (u \ (((u \ a(w,v5,w)) * v6) * z))) = a(x,y,L(L(v6 * a(w,v5,w),u,z),z,u)). a(L(x,y,z),L(x,y,z),a(u,w,v5)) = a(x,x,a(u,w,v5)). L(L(x,y,z) \ L(L(x,y,z),u,w),L(x,y,z),v5) = L(L(x \ L(x,u,w),y,z),L(x \ 1,y,z),v5). x \ ((x * ((x \ L(x,y,z)) * (z * y))) / (z * y)) = a(z * y,x,a(x,y,z)) \ (x \ L(x,y,z)). (x \ L(x,y,z)) * L(u,x,x \ L(x,y,z)) = (u / x) * L(x,y,z). L(x,y \ (1 / z),(y \ (1 / z)) \ L(y \ (1 / z),y,z)) = x * a(y \ (1 / z),(y \ (1 / z)) \ ((z * y) \ K(z,z \ 1)),x). L(x,y * z,(y * z) \ L(y * z,z,y)) = x * a(y * z,a(y,z,y * z) \ 1,x). (L(x,y,z) \ u) * a(x,x \ L(x,w,v5),u) = L(x,y,z) \ L(u,x,x \ L(x,w,v5)). L(x,y,z) * L(L(x,y,z) \ x,x,u) = a(u,x,x * L(x,y,z)) * x. L(x,y,z) * a(u,x,x * L(x,y,z)) = x * L(x \ L(x,y,z),x,u). L(x \ L(x,y,z),x,u) \ 1 = L(L(x,y,z) \ x,x,u). a(x,L(y,z,u) \ (L(y \ 1,z,u) \ 1),w) = 1. R(x,y \ (L(z,u,w) * L(z \ 1,u,w)),v5) = R(x,y \ 1,v5). x \ ((y \ L(y,z,u)) \ ((y / x) \ L(y,z,u))) = a(x,x,y * L(y,z,u)). (L(x,y,z) / u) \ L(L(x,y,z),y,z) = (x / u) \ L(x,y,z). (x \ 1) \ (x \ (y \ (x * L(x \ y,z,u)))) = L(y \ (x * L(x \ y,z,u)),x \ 1,x). (x * (a(y \ 1,y,z) \ 1)) * (x \ z) = z * L(z \ L(z,y,y \ 1),x,x). a(x * (y * L(y \ L(y,z,u),y \ L(y,z,u),y \ L(y,z,u))),w,v5) = a((L(y,z,u) * L(y \ 1,z,u)) * ((y * (L(y,z,u) \ y)) * x),w,v5). a(x,y,a(z \ ((z \ 1) * u),w,v5)) = a(x,y,a(u,w,v5)). a(x,y,a((z \ 1) \ u,w,v5)) = a(x,y,a(z \ u,w,v5)). a(x,y,(z * u) \ ((R(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(L(u \ w,w,w),u,z)). x * ((y \ (z \ ((z * (y * u)) / u))) \ L(L(L(u \ L(u,y,z),w,w),u,z * y),w,w)) = x * (a(a(u,y,z),w,w) * a(a(u,y,z),w,w)). a(x,y \ ((z \ (z / y)) \ y),a(u,w,v5)) = a(x,z \ ((y \ 1) \ z),a(u,w,v5)). x * ((a(y,x,a(z,u,x)) * x) \ (w * (L(x,a(z,u,1 / x),y) \ x))) = L(w,x,x \ L(x,a(z,u,1 / x),y)). x \ (y * a(z,y,x)) = L(x,y,z) \ y. a(x,y,z) * (z \ y) = L(z,y,x) \ y. a(x,y,L(z,y,x)) = a(x,y,z). (a(x,y,z) * y) \ (y * z) = L(z,y,x). L(x,y,z) \ (y * x) = T(a(z,y,x) * y,x). x \ (y \ (L(L(y,z,u),z,u) \ ((y * L(L(y,z,u),z,u)) * x))) = L(x,L(y,z,u),L(y,z,u)) \ x. a(x,y,z) \ L(z \ L(z,y,x),z,x * y) = L(z,y,x) * L(z \ 1,y,x). a(x,y,L(z * (L(z,u,w) \ v5),z,z)) = a(x,y,z * (L(z,u,w) * v5)). a(x,y,L(z * L(z,u,w),z \ v5,z \ v5)) = a(x,y,v5 * (z * (L(z,u,w) \ v5))). ((L(x,y,z) \ 1) * u) * L((x \ 1) \ 1,y,z) = ((1 / x) * u) * x. (x * y) * ((y * x) * (L(x * y,z,u) \ w)) = (L(1 / (y * x),z,u) \ 1) * w. a(x,y,z) * (u * (w * a(u,w,a(x,y,z)))) = (L(a(x,y,z) \ 1,w,u) \ 1) * (u * w). R(x,y * (L(y,z,u) \ y),L(y,z,u)) = R(x,y,y). a(x,y,z \ (u \ L(L(w,v5,v6) \ v7,w,w))) = a(x,y,z \ (u \ (v7 * L(w \ 1,v5,v6)))). a(x,y,L(L(z,u,w) \ v5,z,z) \ v6) = a(x,y,(v5 * L(z,u,w)) \ v6). a(x,y,z * L(L(u,w,v5) \ v6,u,u)) = a(x,y,z * (v6 * L(u,w,v5))). x \ (L(y / x,x,z) \ y) = a(z,x,x \ y). a(x * y,z,a(y,x,z)) * ((L(z,x,y) \ z) \ z) = L(L(z,x,y) \ z,z,x * y) \ z. R(x,a(y,z,u),L(L(u,z,y) \ u,u,z * y)) = R(x,L(u,z,y) \ u,L(u,z,y) \ u). L(x,y * x,y) \ x = a(y,y * x,x). (x * a(y,x,z)) \ (x * z) = L(z,x,y). (x / (y * z)) * ((y * z) * (y * (z / (y * z)))) = (y * z) * (L(y * z,(y * z) \ z,y) \ x). L(L(x \ 1,x,x \ (y \ z)) \ (y * (L(y,u,w) \ y)),(z / y) \ (x \ (z / y)),z / y) = ((z / y) / x) \ (y * (L(y,u,w) \ z)). a(x,y,z \ (L(u,w,v5) * (v6 / u))) = a(x,y,z \ (u * (L(u,w,v5) \ v6))). L(x,y,z) * (L(L(x,y,z),u,w) \ (z * (y * x))) = z * (y * (L(1 / x,u,w) \ 1)). a(x,y,L(L(z,y,x),u,w)) = a(x,y,L(z,u,w)). a(a(x,x,y),z,u) = a(u,z,a(x,x,y)). a(x,y,z * a(x,z,y)) = a(x,y,L(z,x,y)). a(x,y,(x * y) \ z) = a(x,y,y \ (x \ z)). a(x,y,y * L(y,x,z)) = a(x,y,a(z,x,y)). L(L(x,y,z),a(z,y,L(x,y,z)),y) = L(L(x,y,z),y,z) * a(z,y,x). a(x,L(x,y,z),L(u,x,L(x,y,z))) = a(x,L(x,y,z),u). a(x,y,L(z,y,x)) \ (L(L(z,y,x),u,w) \ v5) = L(L(z,y,x),u,w) \ (a(x,y,z) \ v5). a(x \ R(y,z,u),w,L(v5,w,x \ L(y,z,u))) = a(x \ R(y,z,u),w,v5). L(x,x \ y,z) * (x \ y) = a(z,x \ y,x) \ y. L(a(x,y,z),u,a(z * L(z,y,x),w,v5)) = a(x,y,L(z,y,x)). L(x \ L(x,y,z),x,y) = a(z,y,L(x,y,z)) \ 1. L(L(x,y,z) \ 1,a(z,y,L(x,y,z) \ 1),y) = (x \ 1) * a(z,y,x). a(x,a(y,y,z),L(y,y,z)) = a(x,y,a(z,y,y)). (a(x,y,z) \ y) * z = y * L(z,y,x). x \ (L(x,y,z) * y) = a(z,y,x) \ y. L(x,y,z) * (x \ y) = a(z,y,x) \ y. a(x,y,y \ (z \ y)) \ y = (z \ L(z,y,x)) * y. L(x,y,z \ ((u \ w) * L(u,w,v5))) = L(x,y,z \ (a(v5,w,u) \ w)). x \ (a(y,x,z) \ x) = a(y,x,z) \ 1. (x * (L(x,y,z) \ x)) \ u = ((x \ u) / x) * L(x,y,z). R(x,y,z) * (L(L(x,y,z),u,w) * (L(x,y,z) \ v5)) = L(R(x,y,z),u,w) * v5. (x / ((a(y,z,u) \ 1) \ w)) * (w * (a(y,z,u) * a(y,z,u))) = w * ((a(y,z,u) \ w) \ x). a(L(x,x,y),y \ (x \ y),z) = a(x,x \ 1,z). a(x,y,(((z * (u \ 1)) \ w) \ 1) \ (u \ (z \ w))) = a(x,y,((u \ 1) \ (z \ w)) * ((z * u) \ w)). x \ (y * a(x \ y,x,a(z,u,x))) = L(x \ y,x,a(z,u,x)). L(x,y,a(y,z,a(u,w,z))) * L(y,z,a(u,w,z)) = a(y,z,a(u,w,z)) * (x * y). (x * (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5))) * a(x,y,a(z,u,y)) = (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)). x \ (L(x,y,a(z,u,y)) * L(L(x,y,a(z,u,y)) \ x,w,v5)) = a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5). L(a(x * y,a(x * y,z,u),y) \ 1,y,x) = a(y,x * y,a(x * y,z,u)). L(a(x,y,a(y,z,u)),w,v5) = a(L(x,w,v5),y,a(y,z,u)). a(x,y,z \ (u \ (((u \ a(w,v5,w)) * v6) * z))) = a(x,y,L(L(v6,u,z),z,u)). L(x,y,z) \ L(L(x,y,z),L(x,y,z),a(u,w,v5)) = a(x,x,a(u,w,v5)). L(L(x \ L(x,y,z),u,w),L(x \ 1,u,w),v5) = L(L(x \ L(x,y,z),u,w),L(x,u,w),v5). L(a(x * y,z,a(z,y,x)) \ u,a(x * y,z,a(z,y,x)),a(x * y,z,a(z,y,x)) \ (z \ L(z,y,x))) = (z \ L(z,y,x)) \ ((z \ ((z * ((z \ L(z,y,x)) * (x * y))) / (x * y))) * u). (x \ L(x,y,z)) * L(u,x,x \ L(x,y,z)) = x * ((L(1 / x,y,z) \ 1) \ u). L(x \ L(x,y,z),u,w) * L(v5,L(x,u,w),L(x,u,w) \ L(L(x,u,w),y,z)) = (v5 / L(x,u,w)) * L(L(x,u,w),y,z). (x \ L(x,x,y)) * L(z,x,a(x,x,y)) = (z / x) * L(x,x,y). (x \ L(x,y,z)) * L(u,x * a(z,y,y),(x * a(z,y,y)) \ L(x * a(z,y,y),y,z)) = (u / (x * a(z,y,y))) * L(x * a(z,y,y),y,z). L(x,y * z,(y * z) \ L(y * z,z,y)) = x * a(y * z,a(y,z,y * z),x). L(x,y,z) \ L(u,x,x \ L(x,y,z)) = x \ ((x \ L(x,y,z)) \ u). L(L(x,y,z) \ x,x,z * y) = ((z * y) \ ((z * (y * x)) / x)) \ 1. L((x * y) \ L(x * y,z,u),x * y,w) \ 1 = L(L(x * y,z,u) \ (x * y),y * x,w). x \ (y * ((y \ x) * (L(y \ x,z,u) \ (y \ x)))) = L((y \ x) \ L(y \ x,z,u),y \ x,y) \ 1. L(L(x,y,z) \ x,x,u) = (u \ ((u / x) * L(x,y,z))) \ 1. L(L(x,y,z) \ x,x,u) \ 1 = L(x \ L(x,y,z),x,u). L(L(x,y,z) \ x,x,u) \ x = x * L(x \ L(x,y,z),x,u). (((x * (y * z)) / z) * L(L(z,y,x) \ z,z,x * y)) \ (x * y) = ((x * y) \ ((x * (y * z)) / z)) * (((x * (y * z)) / z) \ (x * y)). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = L(L(x,z,u) \ x,x,y) * ((y / x) \ (y * L(L(x \ 1,x,x \ y),z,u))). L(L(x * a(y,z,z),z,y) \ (x * a(y,z,z)),x * a(y,z,z),u) = L(x \ L(x,z,y),x * a(y,z,z),u) \ 1. a(x,y * (L(y,z,u) \ (L(y,z,u) \ y)),w) = 1. R(x,L(y,z,u) \ 1,w) = R(x,L(y \ 1,z,u),w). (x * (L(y,z,u) \ y)) * (x \ ((((y / x) \ L(y,z,u)) * (y * y)) / (y * L(y,z,u)))) = (L(y,z,u) / x) \ y. (x \ 1) \ (x \ (y \ (x * L(x \ y,z,u)))) = L(y \ (x * L(x \ y,z,u)),x,x). (x * (a(y \ 1,y,z) \ 1)) * (x \ z) = a(y \ 1,y,L(z,x,x)) \ z. a((L(x,y,z) * L(x \ 1,y,z)) * ((x * (L(x,y,z) \ x)) * u),w,v5) = a(u * (x * (x \ L(x,y,z))),w,v5). a(x,y,a((z * z) \ u,w,v5)) = a(x,y,a(u,w,v5)). x * ((y \ (z \ ((z * (y * u)) / u))) \ L(u \ L(u,y,z),u,z * y)) = x * (a(a(u,y,z),w,w) * a(a(u,y,z),w,w)). x * ((a(y,x,a(z,u,x)) * x) \ (w * (L(x,a(z,u,x),y) \ x))) = L(w,x,x \ L(x,a(z,u,1 / x),y)). a(a(x,y,z),z,u) * (u \ z) = L(u,a(x,y,z),z) \ z. L(x,y,a(z,u,L(y,w,v5))) \ (a(z,u,L(y,w,v5)) * x) = T(a(y,a(z,u,L(y,w,v5)),x) * a(z,u,L(y,w,v5)),x). L(x,L(y,z,u),L(y,z,u)) \ x = a(y,L(L(y,z,u),z,u),x). a(x,y,z \ (L(z,u,w) \ v5)) = a(x,y,z * (L(z,u,w) * v5)). ((1 / L(x,y,z)) * u) * L(x,y,z) = ((1 / x) * u) * x. x \ ((y \ L(y,x,z)) \ x) = a(z,x,L(y,y,x)). a(a(x,x,y),z,u) = a(u,z,a(y,x,x)). a(a(x,y,y),z,u) = a(u,z,a(y,y,x)). (x * y) \ (L(z / (x * y),y,x) \ z) = a(x,y,y \ (x \ z)). (x * (y * ((x * y) \ z))) \ z = a(x,y,y \ (x \ z)). L(L(x,y,z),y,z) * a(z,y,x) = L(L(x,y,z),a(z,y,x),y). L(x,y,L(y,z,u)) \ x = a(y,L(y,z,u),x). L(L(x,y,z),u,w) \ (a(z,y,x) \ v5) = a(z,y,x) \ (L(L(x,y,z),u,w) \ v5). L(a(x,y,z),u,a(z * L(z,y,x),w,v5)) = a(x,y,z). L(L(x,y,z) \ 1,a(z,y,L(x,y,z) \ 1),y) = x \ a(z,y,x). a(x,L(y \ 1,z,u) \ 1,L(y,z,u)) = x \ R(x,y,y). a(x,y,(z \ u) * (w * L(z * u,z,z))) = a(x,y,L(w,z * u,z * u)). L(L(x,y,z) \ x,x,y * z) \ x = a(y * z,x,a(z,y,x)) * L(x,y,z). R(x,L(y,z,u) \ y,L(y,z,u) \ y) = R(x,a(u,z,y),a(u,z,y)). (x * a(y,x,a(z,u,w))) \ (a(z,u,w) * x) = L(a(z,u,w),x,y). (x * y) * (L(x * y,(x * y) \ y,x) \ z) = (z / (x * y)) * ((x \ 1) \ y). L(L(x \ 1,x,x \ (y \ z)) \ (y * (L(y,u,w) \ y)),(z / y) \ (x \ (z / y)),y \ z) = ((z / y) / x) \ (y * (L(y,u,w) \ z)). a(x,y,z \ ((u / w) * L(w,v5,v6))) = a(x,y,z \ (w * (L(w,v5,v6) \ u))). a(x,y,z \ (L(u,w,v5) * (u \ v6))) = a(x,y,z \ (u * (L(u,w,v5) \ v6))). (x * a(y,x,a(z,u,w))) * y = x * L(y,x,a(z,u,w)). (a(x,y,L(a(z,x,y) \ 1,u,w)) \ y) * L(a(z,x,y) \ 1,u,w) = y * L(y \ L(y,x,z),u,w). x * (y * a(x,y,a(z,u,w))) = L(x,y,a(z,u,w)) * y. (x \ 1) * (a(y,z,x) \ z) = L(x \ 1,z,y) * z. L(L(x,y,z),1 / (1 / x),u) * ((L(x,y,z) \ 1) * x) = a(u,1 / (1 / x),L(x,y,z)) \ (1 / (1 / x)). x * (a(y,x,z) \ 1) = a(y,x,z) \ x. a(x,y,a(z,u,w)) \ 1 = a(a(z,u,w),y,x). x \ (y \ ((y * (x * z)) / z)) = a(y,x,z) \ 1. L(R(x,y,z),u,w) * (x * v5) = x * (L(R(x,y,z),u,w) * v5). a(x \ ((y \ 1) \ x),x \ (y \ x),z) = a(y,y \ 1,z). a(x,y,(((z * (u \ 1)) \ w) \ 1) \ (u \ (z \ w))) = a(x,y,(u \ (z \ w)) * ((z * u) \ w)). x \ (y * a(y,x,a(z,u,x))) = L(x \ y,x,a(z,u,x)). L(x * y,x,x) \ L(L(x * y,x,x),x \ y,a(z,u,w)) = a(x * y,x * y,a(z,u,w)). L(L(x \ L(x,y,z),x,u),L(x,x,u),w) \ w = L(x \ 1,x,x \ u) * (L(L(x \ 1,x,x \ u),y,z) \ w). L(a(x * y,z,a(z,y,x)) \ u,a(x * y,z,a(z,y,x)),L(z \ L(z,y,x),z,x * y)) = (z \ L(z,y,x)) \ ((z \ ((z * ((z \ L(z,y,x)) * (x * y))) / (x * y))) * u). (x \ L(x,y,z)) * L(u,L(x,w,z),L(x,w,z) \ L(L(x,w,z),y,z)) = (u / L(x,w,z)) * L(L(x,w,z),y,z). (x \ L(x,y,z)) * L(u,x * a(z,y,y),x \ L(x,y,z)) = (u / (x * a(z,y,y))) * L(x * a(z,y,y),y,z). L(x,y * z,(y * z) \ L(y * z,z,y)) = x * a(y * z,a(z,z,y),x). L(L(x,y,z) \ u,x,x \ L(x,y,z)) = x \ ((x \ L(x,y,z)) \ u). a(x * y,z,z * L(z,y,x)) \ (L(z,y,x) \ z) = ((x * y) \ ((x * (y * z)) / z)) \ 1. L(x,y,z) \ (x * L(x \ L(x,y,z),x,z * y)) = (L(x,y,z) \ x) \ (((z * y) \ ((z * (y * x)) / x)) \ 1). R(x * y,(x * y) \ ((x * (y * z)) / z),(x * y) \ ((x * (y * z)) / z)) = ((x * (y * z)) / z) * L(L(z,y,x) \ z,z,x * y). L(L(x,y,z) \ x,x,z * y) = (y \ (z \ ((z * (y * x)) / x))) \ 1. L(L(x * y,z,u) \ (x * y),y * x,y) = (y \ ((y / (y * x)) * L(y * x,z,u))) \ 1. x \ (y * ((y \ x) * (L(y \ x,z,u) \ (y \ x)))) = (x \ (y * L(y \ x,z,u))) \ 1. (x \ ((x / y) * L(y,z,u))) \ 1 = x \ (y * (L(y,z,u) \ x)). x \ (y \ ((x \ L(x,z,u)) * (y * x))) = L(x \ L(x,z,u),x,y). L(x \ L(x,y,z),x,y * z) = a(z,y,L(x,y,z)) \ 1. L(x \ L(x,y,z),x,z * y) = a(z,y,L(x,y,z)) \ 1. L(x \ L(x,y,z),x,z * y) = a(z,y,x) \ 1. L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = L(L(x,z,u) \ x,x,y) * ((y / x) \ ((y / x) * (x * L(x \ 1,z,u)))). L(x * a(y,z,z),z,y) \ (x * a(y,z,z)) = L(x,z,y) \ x. a(x,L(L(y,z,u),z,u) \ y,w) = 1. R(L(a(x,y,z),u,w),L(a(x,y,z) \ 1,u,w),v5) = a(a(x,y,z),a(x,y,z),v5) * L(a(x,y,z),u,w). (x * (L(y,z,u) \ y)) * (x \ (((y / x) \ L(y,z,u)) / ((y * L(y,z,u)) / (y * y)))) = (L(y,z,u) / x) \ y. x \ ((x / (y * x)) * L(y * x,z,u)) = L(y \ (x * L(x \ y,z,u)),x,x). a((L(x,y,z) * L(x \ 1,y,z)) * ((x * (L(x,y,z) \ x)) * u),w,v5) = a(u * L(x,y,z),w,v5). a(x,y,a(z * (z * u),w,v5)) = a(x,y,a(L(u,z,z),w,v5)). a(x,y,a(L(z \ u,z,z),w,v5)) = a(x,y,a(z * u,w,v5)). x * (a(a(y,z,u),w,w) * a(a(y,z,u),w,w)) = x * 1. x * ((a(y,x,a(z,u,x)) * x) \ (w * a(y,x,a(z,u,x)))) = L(w,x,x \ L(x,a(z,u,1 / x),y)). a(x,a(y,z,x),u) * (u \ x) = L(u,a(y,z,x),x) \ x. x * (L(x,y,a(z,u,L(y,w,v5))) \ a(z,u,L(y,w,v5))) = T(a(y,a(z,u,L(y,w,v5)),x) * a(z,u,L(y,w,v5)),x). a(x,L(y \ 1,z,u) \ 1,L(y,z,u)) = a(x,y,y). a(x,y,(z \ u) * (w * (z \ u))) = a(x,y,L(w,z * u,z * u)). a(x * y,z,a(y,x,z)) * L(z,x,y) = a(y,x,z) \ z. R(x,L(y,z,u) \ y,L(y,z,u) \ y) = L(x,a(u,z,y),a(u,z,y)). (x * y) * (L(x * y,y \ (x \ y),x) \ z) = (z / (x * y)) * ((x \ 1) \ y). L(L(x \ 1,x,x \ (y \ z)) \ (y * (L(y,u,w) \ y)),(z / y) \ (x \ (y \ z)),y \ z) = ((z / y) / x) \ (y * (L(y,u,w) \ z)). a(x,y,z \ ((u \ w) * L(u,v5,v6))) = a(x,y,z \ (u * (L(u,v5,v6) \ w))). a(x,y,z \ (u * (L(u,w \ 1,w) \ v5))) = a(x,y,z \ ((u \ v5) * L(u,w,w))). a(x,y,a(z,u,w)) * (y * x) = y * L(x,y,a(z,u,w)). (a(x,y,L(a(z,x,y),u,w)) \ y) * L(a(z,x,y) \ 1,u,w) = y * L(y \ L(y,x,z),u,w). a(x,1 / (1 / y),L(y,z,u)) \ (1 / (1 / y)) = L(L(y,z,u),y,x) * ((L(y,z,u) \ 1) * y). (L(x \ 1,y,z) * y) \ R(x \ 1,a(z,y,x) \ y,a(z,y,x) \ y) = (a(z,y,x) \ y) \ 1. a(a(x,y,z),u,w) \ 1 = a(w,u,a(x,y,z)). L(a(x,y,z),a(x,y,z),y) = a(x,y,z). R(x,a(y,x,z),a(y,x,z)) = x. a(x,y,L(a(z,u,w) \ u,v5,v6)) = a(x,y,L(u * a(z,u,w),v5,v6)). a(a(x,y,z),u,w) * a(w,u,a(x,y,z)) = 1. ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. a(x,y,z * L(z,u,w)) \ 1 = a(z \ L(z,u,w),y,x). x \ (y \ ((y * (x * z)) / z)) = a(y,x,L(z,x,y)) \ 1. ((x * (L(R(x,y,z),u,w) * v5)) / v5) \ (x * L(R(x,y,z),u,w)) = a(L(L(x,y,z),u,w),x,v5). a(x,y,a(z,u,u)) * w = w * a(a(u,u,z),y,x). a(a(x,y,y),z,u) = a(u,z,a(x,y,y)). a(x,a(x,y,y),z) = a(z,x,a(x,y,y)). a(x,a(y,y,x),z) = a(z,x,a(x,y,y)). a(a(x,x,y),z,u) \ (a(u,z,a(y,x,x)) * w) = w. x * a(a(y,z,z),u,w) = x * a(w,u,a(z,z,y)). a(a(x,y,y),z,u) * w = w * a(u,z,a(y,y,x)). a(x * y,a(y,y,x),z) = a(z,x * y,a(y,y,x)). a(x,L(x,y,z),u) \ u = L(u,x,L(x,y,z)). L(L(x,y,z) \ 1,a(z,y,L(x,y,z)),y) = x \ a(z,y,x). a((x \ 1) \ (x \ y),z,u) = a(L(y,x,x),z,u). a(x \ ((x \ 1) \ y),z,u) = a(L(y,x,x \ 1),z,u). L((a(x,y,z) \ 1) * u,u,a(x,y,z)) = 1 / (u \ a(x,y,z)). L((a(x,y,x * y) \ 1) \ z,x,a(y,y,x)) = (a(x,y,x * y) \ x) \ (x * z). (x * K(y,z)) * ((a(u,w,v5) \ 1) * L((a(u,w,v5) \ K(y,z)) \ (x \ v6),x,a(u,w,v5))) = (a(u,w,v5) \ 1) * ((x * K(y,z)) * ((x * (a(u,w,v5) \ K(y,z))) \ v6)). (a(x,y,z) \ 1) * (R(x,y,z) * T(u,x * a(y * z,x,a(x,y,z)))) = L(u,L(x,y,z),a(x,y,z)) * ((a(x,y,z) \ 1) * R(x,y,z)). L(x,y \ L(y,z,z),u \ L(u,w,w)) = L(x,a(z,z,y),a(w,w,u)). L((a(x,y,z) \ 1) * u,u,a(x,y,z)) = (a(x,y,z) / u) \ 1. (a(x,y,z) \ 1) * (R(x,y,z) * T(u,x * a(y * z,x,a(x,y,z)))) = L(u,L(x,y,z),a(x,y,z)) * (a(x,y,z) \ R(x,y,z)). L(x,L(y,z,u),a(y,z,u)) * (a(y,z,u) \ R(y,z,u)) = (a(y,z,u) \ 1) * (R(y,z,u) * T(x,y)). L(x,L(y,z,u),a(y,z,u)) * (a(y,z,u) \ R(y,z,u)) = (a(y,z,u) \ 1) * (x * R(y,z,u)). (x * (a(y,z,u) \ 1)) * ((a(y,z,u) \ 1) \ w) = (x * a(y,z,u)) * (a(y,z,u) \ w). (a(x,y,z) \ 1) * (((a(x,y,z) \ 1) * u) \ w) = a(x,y,z) * ((u * a(x,y,z)) \ w). x \ L(y,x,a(z,u,x)) = L(x \ y,x,a(z,u,x)). L((x * y) \ L(x * y,x \ y,a(z,u,w)),x,x) = a(x * y,x * y,a(z,u,w)). L(a(x * y,z,a(z,y,x)) \ u,a(x * y,z,a(z,y,x)),a(z,y,x)) = (z \ L(z,y,x)) \ ((z \ ((z * ((z \ L(z,y,x)) * (x * y))) / (x * y))) * u). (x \ L(x,y,z)) * L(u,L(x,w,z),L(x \ L(x,y,z),w,z)) = (u / L(x,w,z)) * L(L(x,w,z),y,z). (x \ L(x,x,y)) * L(z,x * a(y,x,x),a(x,x,y)) = (z / (x * a(y,x,x))) * L(x * a(y,x,x),x,y). L(x,y * z,a(y,z,y * z) \ 1) = x * a(y * z,a(z,z,y),x). a(x * y,z,a(z,y,x)) \ (L(z,y,x) \ z) = ((x * y) \ ((x * (y * z)) / z)) \ 1. (L(x,y,z) \ x) \ (((z * y) \ ((z * (y * x)) / x)) \ 1) = x * (L(x,y,z) \ L(x \ L(x,y,z),x,z * y)). R(x * y,(x * y) \ ((x * (y * z)) / z),(x * y) \ (z \ (x * (y * z)))) = ((x * (y * z)) / z) * L(L(z,y,x) \ z,z,x * y). (x \ (y \ ((y * (x * z)) / z))) \ 1 = a(y,x,L(z,x,y)). a(x,y,L(L(z,u,w) \ z,z,w * u) * v5) = a(x,y,(u \ (w \ ((w * (u * z)) / z))) * v5). L(x,L(L(y,z,u),z,u) \ y,w) = x. x \ (y * ((y \ x) * (L(y \ x,z,u) \ (y \ x)))) = L(x \ y,z,u) \ (x \ y). L((x \ ((x / y) * L(y,z,u))) \ 1,w,v5) = R(x \ (y * (L(y,z,u) \ x)),w,v5). L(x \ L(x,y,z),x,y * z) = L(x \ L(x,y,z),x,y). L(x,y,a(z,u,L(w,u,z)) \ 1) = L(x,y,a(w,u,z)). a(x,a(y,z,L(u,z,y)) \ 1,w) = a(x,a(u,z,y),w). L(K(x,y) * (z \ L(z,u,w)),z,w * u) = K(x,y) * (a(w,u,L(z,u,w)) \ 1). L(x,a(y,z,L(u,z,y)) \ 1,w) = L(x,a(u,z,y),w). a(x,y,a(z,u,L(w,u,z)) \ 1) = a(x,y,a(w,u,z)). L(x,L(L(y \ L(y,z,u),y,u * z),w,v5),v6) = R(x,L(a(u,z,L(y,z,u)) \ 1,w,v5),v6). a(x,a(y,z,u),w) \ 1 = a(w,a(y,z,u),x). a(x,a(y,z,u),w) * a(w,a(y,z,u),x) = 1. L(x,y,a(z,u,w) \ 1) = L(x,y,a(w,u,z)). L(x,a(y,z,u) \ 1,w) = L(x,a(u,z,y),w). a(x,y,z) \ (a(x,y,z) \ 1) = L(z,y,x) * L(z \ 1,y,x). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = L(L(x,z,u) \ x,x,y) * ((y / x) \ ((y / x) * (x \ L(x,z,u)))). L(x \ L(x,y,a(z,u,w)),x,y) = a(x,y,a(z,u,w)). L(x,y,a(z,u,L(w,u,z))) = L(x,y,a(w,u,z)). a(x,a(y,z,L(u,z,y)),w) = a(x,a(u,z,y),w). L(K(x,y) * (z \ L(z,u,w)),z,w * u) = a(w,u,L(z,u,w)) \ K(x,y). L(x,a(y,z,L(u,z,y)),w) = L(x,a(u,z,y),w). a(x,y,a(z,u,L(w,u,z))) = a(x,y,a(w,u,z)). R(x,L(a(y,z,L(u,z,y)) \ 1,w,v5),v6) = L(x,L(a(y,z,L(u,z,y)) \ 1,w,v5),v6). (R(x,x,a(y,z,u)) \ ((x \ ((x * x) * a(y,z,u))) * w)) / w = a(y,z,u) * (a(w,a(y,z,u),L(x,x,a(y,z,u))) \ 1). a(x * y,x * y,L(a(z,u,w),x,y)) = a(x \ y,y * x,a(z,u,w)). L(x,y \ 1,a(z,u,w)) = L(x,y,a(w,u,z)). L(x,y,a(z,u,w)) = L(x,y,a(w,u,z)). L(x,(y \ (z \ y)) * z,u) = L(x,a(z,z,y),u). L(x,a(y,z,u),w) = L(x,a(u,z,y),w). a(x,y,z) \ (a(x,y,z) \ 1) = z \ L(L(z,y,x),y,x). a(x,y,z) * (z \ L(L(z,y,x),y,x)) = a(x,y,z) \ 1. (x * (L(y,z,u) \ y)) * (x \ (((y / x) \ L(y,z,u)) / (y * (L(y,z,u) / (y * y))))) = (L(y,z,u) / x) \ y. x \ ((x / (x * y)) * L(x * y,z,u)) = L(y \ (x * L(x \ y,z,u)),x,x). a((x \ L(L(x,y,z),y,z)) * ((x * (L(x,y,z) \ x)) * u),w,v5) = a(u * L(x,y,z),w,v5). a(x,y,a(L(L(z \ u,w,v5),z,z),v6,v7)) = a(x,y,a(L(z * u,w,v5),v6,v7)). a(x,y,a(z * (u \ 1),w,v5)) = a(x,y,a(u * z,w,v5)). a(a(x,y,z),u,u) = a(u,u,a(x,y,z)). L(x,y,y \ L(y,a(z,u,1 / y),w)) = y * L(y \ x,y,a(w,y,a(z,u,y))). a(x,y,L(z,u \ w,u \ w)) = a(x,y,L(z,u * w,u * w)). a(x * y,z,a(y,x,z)) = a(x,z,a(y,x,z)). L(x,y \ L(y,z,u),L(y,z,u) \ y) = L(x,a(u,z,y),a(u,z,y)). L(L(x \ 1,x,x \ (y \ z)) \ (y * (L(y,u,w) \ y)),(y \ z) \ (x \ (y \ z)),y \ z) = ((z / y) / x) \ (y * (L(y,u,w) \ z)). a(x,y,(z \ (u \ z)) * L((z * u) \ z,w,v5)) = a(x,y,z \ (u * (L(u,w,v5) \ z))). a(x,y,z \ ((u * T(w,v5)) * (L(u * T(w,v5),v6,v7) \ ((w * u) * v8)))) = a(x,y,z \ ((K(v5,w) * (K(w,u) * v8)) * L(u * T(w,v5),v6,v7))). a(x,y,z \ (((u * w) \ v5) * (1 / (w \ (u \ 1))))) = a(x,y,z \ ((u * w) * (L(u * w,w,u) \ v5))). a(x,1 / (1 / y),L(y,z,u)) \ (1 / (1 / y)) = y * ((L(y,z,u) \ 1) * L(L(y,z,u),y,x)). a(x,y,a(z,u,w)) = a(x,y,a(w,u,z)). L(x \ L(x,y,a(z,u,w)),x,a(w,u,z) * y) = a(x,y,a(z,u,w)). a(x,y,L(z * a(u,z,w * v5),u,v5 * w)) = a(x,y,L(z,w * v5,u)). a(x,y,L(z * a(u,z,w),u,w)) = a(x,y,L(z,w,u)). a(x,y,L(z * L(z,u,w),y,x)) \ 1 = a(z \ L(z,u,w),y,x). L(x,x,a(y,z,u)) \ (a(u,z,L(y,z,u)) \ 1) = (x \ 1) * (z \ (u \ ((u * (z * y)) / y))). a(L(L(x,y,z),u,w),x,v5) = a(x,L(R(x,y,z),u,w),v5). a(L(x * y,x,x),z,u) = a((x \ 1) \ y,z,u). a(x \ ((x \ 1) \ y),z,u) = a(L(y,x,x),z,u). a(x,(y \ z) \ 1,y \ z) = a(x,z \ y,z \ y). L(a(x,y,z) \ u,z,a(x,y,z)) = z * ((a(x,y,z) * z) \ u). L(x \ a(y,z,x),x,a(y,z,x)) = x \ a(y,z,x). a(x,y,a(z,u,u)) * w = w * a(a(z,u,u),y,x). x * a(a(y,z,z),u,w) = x * a(w,u,a(y,z,z)). a(x,y,a(z,u,u)) \ 1 = a(x,y,a(z,u,u)). a(x,y,a(z,y,y)) * y = L(y,a(z,y,y),x). a(x,a(x,y,y),z) * z = L(z,x,a(x,y,y)). x * a(y,a(z,z,y),x) = L(x,y,a(y,z,z)). a(x,a(y,y,x),z) * z = L(z,x,a(x,y,y)). a(a(x,x,y),x,z) \ x = L(x,a(y,x,x),z). L(L(x,y,z) \ 1,a(z,y,x),y) = x \ a(z,y,x). x \ (y * L(y \ x,x \ y,a(z,u,w))) = a(x * y,x * y,a(z,u,w)). (x \ L(x,y,z)) \ ((x \ ((x * ((x \ L(x,y,z)) * (z * y))) / (z * y))) * u) = (a(x,y,z) * a(z * y,x,a(x,y,z))) \ (a(x,y,z) * u). (((x * y) \ ((x * (y * z)) / z)) \ 1) \ (L(z,y,x) \ z) = a(x * y,z,a(z,y,x)). (L(x,y,z) \ x) \ (((z * y) \ ((z * (y * x)) / x)) \ 1) = x * (x \ a(z * y,x,x * L(x,y,z))). L(x * y,(x * y) \ ((x * (y * z)) / z),a(z,y,x)) = ((x * (y * z)) / z) * L(L(z,y,x) \ z,z,x * y). (x \ L(x,y,z)) * L(u,L(x,w,z),x \ L(x,y,z)) = (u / L(x,w,z)) * L(L(x,w,z),y,z). (x / (y * a(z,y,y))) * L(y * a(z,y,y),y,z) = (y \ L(y,y,z)) * L(x,a(z,y,y),L(y,y,z)). L(x,y * z,a(y,z,y * z)) = x * a(y * z,a(z,z,y),x). L(x * a(y \ (z * (L(z,y,u) \ y)),x,w),w,a(z,y,u)) = L(x,a(u,y,L(z,y,u)),w). a(x,a(y,z,u),w) = a(x,a(u,z,y),w). T(x,y) \ (z \ ((z * (x * u)) / u)) = a(z,x,L(u,x,z)) \ K(y,x). a(x,y,z \ (L(z \ u,z,w) \ u)) = a(x,y,a(z \ u,z,w)). (L(x,x,a(y,z,u)) \ ((x \ ((x * x) * a(y,z,u))) * w)) / w = a(y,z,u) * (a(w,a(y,z,u),L(x,x,a(y,z,u))) \ 1). a(x * y,x * y,a(z,z,L(u,x,y))) = a(x \ y,y * x,a(z,z,u)). a(x,y,z) * L(1 / u,u,a(z,y,x)) = a(x,y,z) / u. L(L(x,y,a(z,u,w)),v5,v6) = L(L(x,v5,v6),y,a(w,u,z)). L(x \ (a(y,z,u) \ w),x,a(u,z,y)) = (a(y,z,u) * x) \ w. (a(x,y,z) * u) / L(w,w \ u,a(z,y,x)) = a(x,y,z) * (u / w). L(x,y,a(z,u,w)) * a(v5,v6,v7) = a(v5,v6,v7) * L(x,y,a(w,u,z)). x * L(y,z,a(u,w,v5)) = x * L(y,z,a(v5,w,u)). x \ L(y,z,a(u,w,v5)) = x \ L(y,z,a(v5,w,u)). L(x,x,a(y,z,u)) \ a(u,z,y) = a(u,z,y) * (x \ 1). L(L(x,y,a(z,u,w)) \ x,x,y) = a(a(w,u,z),y,x). L(x,y * (z \ (y \ z)),u) = L(x,a(y,y,z),u). L(L(x,a(y,z,u),w),v5,v6) = L(L(x,v5,v6),a(u,z,y),w). L(x,a(y,z,u),w) * (w * a(u,z,y)) = (x * a(u,z,y)) * w. L(x,a(y \ z,y,z),u) = L(x,a(z,y,z * y),u). L(L(x,y,z),y,z) * (a(z,y,x) * a(z,y,x)) = x. (a(x,y,z) \ u) \ (z \ L(L(z,y,x),y,x)) = ((a(x,y,z) \ 1) \ u) \ 1. (x \ a(y,z,u)) * (u \ L(L(u,z,y),z,y)) = x \ (a(y,z,u) \ 1). a(x,y,z) * (u * (z \ L(L(z,y,x),y,x))) = (a(x,y,z) \ 1) * u. L(L(x \ y,z,u) \ (x \ y),x \ y,x) = L(y \ x,z,u) \ (y \ x). R(x \ (y * (L(y,z,u) \ x)),w,v5) = L(x \ (y * (L(y,z,u) \ x)),w,v5). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = L(L(x,z,u) \ x,x,y) * (x \ L(x,z,u)). (x * (L(y,z,u) \ y)) * (x \ (((y / x) \ L(y,z,u)) / (y * L(y \ 1,z,u)))) = (L(y,z,u) / x) \ y. L(L(x * y,z,u) \ (x * y),y * x,y) = L(x \ (y * L(y \ x,z,u)),y,y) \ 1. a(a(x,y,z),a(x,y,z) \ u,a(x,y,z) \ u) = (a(x,y,z) \ u) * (u \ a(x,y,z)). a(x,y,z) * a(u,u,a(x,y,z)) = L(a(x,y,z),u,u). a(x,x,a(y,z,u)) \ x = L(x,x,a(y,z,u)). x * L(x \ y,x,a(z,x,a(u,w,x))) = L(y,x,x \ L(x,a(u,w,x),z)). a(x,y,L(z * L(z,u,w),z * v5,z * v5)) = a(x,y,v5 * (z * (L(z,u,w) \ v5))). a(x,y,L((z \ u) * w,z * u,z * u)) = a(x,y,(z \ u) \ w). a(x,y,L(L(z,u,w),z * v5,z * v5)) = a(x,y,L((z \ v5) * v5,u,w)). a(x * y,z,a(x,y,z)) = a(y,z,a(x,y,z)). ((x \ y) / z) \ ((x \ y) * (x * (L(x,u,w) \ x))) = ((y / x) / z) \ (x * (L(x,u,w) \ y)). a(x,y,z \ ((u * T(w,v5)) * (L(u * T(w,v5),v6,v7) \ ((w * u) * v8)))) = a(x,y,z \ (K(v5,w) * ((K(w,u) * v8) * L(u * T(w,v5),v6,v7)))). a(x,y,z \ (((u * w) \ v5) * ((w \ (u \ 1)) \ 1))) = a(x,y,z \ ((u * w) * (L(u * w,w,u) \ v5))). a(a(x,y,z),u,u) = a(u,u,a(z,y,x)). a(x,y,a(z * u,w,v5)) = a(x,y,a(v5,w,u * z)). a(x,y,(z \ (u \ w)) * ((u * z) \ w)) = a(x,y,a(u,z,w \ (u * z))). a(x * y,z,a(z,x,y)) = a(x,z,a(y,x,z)). a(x \ y,x,a(x,z,u)) = a(y,x,a(u,z,x)). a(x,L(y,z,u),a(w,v5,y)) = a(x,a(y,v5,w),L(y,z,u)). a(x,y,a(z,u,w)) * v5 = v5 * a(x,y,a(w,u,z)). x * a(y,z,a(u,w,v5)) = x * a(y,z,a(v5,w,u)). L(x * a(y,x,a(z,u,w)),a(w,u,z),y) = L(x,y,a(w,u,z)). a(x,y,a(z,u,y)) * x = L(x,y,a(y,u,z)). a(x,y,a(a(z,u,w),v5,v6)) = a(x,y,a(v6,v5,a(w,u,z))). L(x \ L(x,L(y,y,a(z,u,w)),a(w,u,z)),x,a(z,u,w) / (y \ 1)) = a(x,L(y,y,a(z,u,w)),a(w,u,z)). a(x,y,L(a(z,u,w) * u,z,w)) = a(x,y,L(u,w,z)). L(x,x,a(y,z,u)) \ (a(u,z,L(y,z,u)) \ 1) = (x \ 1) * (a(u,z,L(y,z,u)) \ 1). a(L(L(x,y,z),u,w),x,v5) = a(x,L(L(x,y,z),u,w),v5). a(L(x * y,y,y),z,u) = a((y \ 1) \ x,z,u). a(L((x \ 1) * y,x,x),z,u) = a(x \ y,z,u). a(x,y \ z,y \ z) \ x = (x / (z \ y)) / (1 / (z \ y)). a(x,a(y,y,z),L(y,y,z)) * y = L(y,a(z,y,y),x). ((a(x,x,y) \ 1) \ (z / y)) * L(y,x,x) = L(z,y,a(y,x,x)). (x * a(y,z,x)) \ (x * u) = x * ((a(y,z,x) * x) \ u). (x * (a(y,z,x) \ 1)) \ 1 = x \ a(y,z,x). a(x \ y,x \ (y \ 1),a(z,u,w)) = a(x * y,x * y,a(z,u,w)). (x \ L(x,y,z)) \ ((x \ ((x * ((x \ L(x,y,z)) * (z * y))) / (z * y))) * u) = (x \ R(x,y,z)) \ (a(x,y,z) * u). ((x \ (y \ ((y * (x * z)) / z))) \ 1) \ (L(z,x,y) \ z) = a(y * x,z,a(z,x,y)). (L(x,y,z) \ x) \ (((z * y) \ ((z * (y * x)) / x)) \ 1) = x * (x \ a(z * y,x,a(x,y,z))). ((x * (y * z)) / z) * L(L(z,y,x) \ z,z,x * y) = L(x * y,a(z,y,x),a(z,y,x)). x * a(y * z,a(z,z,y),x) = L(x,y * z,a(z,z,y)). (x \ L(x,y,z)) * L(u,L(x,y,z),x \ L(x,y,z)) = x * ((L(1 / x,y,z) \ 1) \ u). (x \ L(x,x,y)) * L(z,a(y,x,x),L(x,x,y)) = (z / (x * a(y,x,x))) * x. L(x * a(y \ (z * (L(z,y,u) \ y)),x,w),w,a(z,y,u)) = L(x,a(z,y,u),w). a(x,a(y,z,u),w) * a(w,a(u,z,y),x) = 1. a(x,y,z) * a(x,a(z,y,x),u) = L(a(x,y,z),x,u). x * a(y,a(z,u,w),v5) = x * a(y,a(w,u,z),v5). a(x,a(y,z,u),w) * v5 = a(x,a(u,z,y),w) * v5. a(x,a(y,z,u),w) \ L(v5,a(x,a(u,z,y),w),a(x,a(u,z,y),w)) = v5 * (a(x,a(u,z,y),w) \ 1). T(x,y) \ (z \ ((z * (x * u)) / u)) = a(z,x,u) \ K(y,x). (L(x,x,a(y,z,u)) \ (((x \ a(y,z,u)) * (x * x)) * w)) / w = a(y,z,u) * (a(w,a(y,z,u),L(x,x,a(y,z,u))) \ 1). L(x \ L(x,L(1 / y,y,a(z,u,w)),a(w,u,z)),x,a(w,u,z) / y) = a(x,L(1 / y,y,a(z,u,w)),a(w,u,z)). L(x \ L(x,L(1 / y,y,a(z,u,w)),a(z,u,w)),x,a(w,u,z) / y) = a(x,L(1 / y,y,a(z,u,w)),a(z,u,w)). a(x,y,z) * L(u,u,a(z,y,x)) = (1 / u) \ a(x,y,z). a(x,y,(z * (L(u,w,a(v5,v6,v7)) * v8)) * v9) = a(x,y,(z * (v8 * L(u,w,a(v7,v6,v5)))) * v9). L(x,x,a(y,z,u)) \ a(u,z,y) = (x \ 1) * a(u,z,y). a(a(x,y,z),u,w) = a(a(z,y,x),u,w). x * (x * (L(x,x,x \ y) \ ((y \ (y / x)) * z))) = L(L(z,y \ (x \ y),x),a(x,x,y),x). L(x,a(y,x,x),z) * (z * a(x,x,y)) = R(x,x,y) * z. L(a(x,y,a(z,u,u)) \ y,x,a(u \ z,u,z)) = L(y,a(z,u,z * u),x). L(x,a(y \ z,y,(y \ z) * y),a(u,w,v5)) = L(x,a(y,y,z),a(u,w,v5)). L(x,a(y \ z,y,z),u) = L(x,a(z,y,y * z),u). x * (x * (L(x,x,x \ y) \ ((y \ (y / x)) * z))) = L(L(z,y \ (x \ y),x),x,a(x,x,y)). (x * a(x \ y,x,x)) * ((y \ (y / x)) * z) = L(L(z,y \ (x \ y),x),x,a(x,x,y)). L(x,y \ (z \ y),(y \ (z \ y)) \ 1) = x * (L(L(x,y \ (z \ y),z),z,a(z,z,y)) / x). L(x,y \ (z \ y),(y \ (z \ y)) \ 1) = x * (x \ L(L(x,y \ (z \ y),z),z,a(z,z,y))). L(L(x,y \ (z \ y),z),z,a(z,z,y)) = L(x,y \ (z \ y),(y \ (z \ y)) \ 1). L(L(x,y,z),y,z) \ x = a(z,y,x) * a(z,y,x). L(x,y,L(L(z,u,w),u,w)) = L(x,y,z). a(x,y,(L(L(z,u,w),u,w) \ v5) * v6) = a(x,y,v6 * (z \ v5)). a(x,L(L(y,z,u),z,u),w) = a(x,y,w). a(L(L(x,y,z),y,z),u,w) = a(x,u,w). (x \ a(y,z,L(u,w,v5))) * (u \ L(L(u,z,y),z,y)) = x \ (a(y,z,L(u,w,v5)) \ 1). (x \ (a(y,z,u) * w)) * (u \ L(L(u,z,y),z,y)) = x \ ((a(y,z,u) \ 1) * w). L(x \ y,z,u) \ (x \ y) = y \ (L(x / y,z,u) \ x). ((x * y) * (z \ (u * (L(u,w,v5) \ z)))) \ ((x * y) * L(z \ (u * (L(u,w,v5) \ z)),y,x)) = a(z \ (u * (L(u,w,v5) \ z)),y,x). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = x * (L(x,z,u) \ L(x \ L(x,z,u),x,y)). (x * (L(y,z,u) \ y)) * (x \ (((y / x) \ L(y,z,u)) / (y \ L(y,z,u)))) = (L(y,z,u) / x) \ y. L(L(x * y,z,u) \ (x * y),y * x,y) = L(L(x \ y,z,u) \ (x \ y),y,y). x \ ((1 / x) \ a(y,z,u)) = L(a(y,z,u),x,x). x * L(a(y,z,u),x,x) = (1 / x) \ a(y,z,u). x * L(x \ y,x,a(z,x,a(u,w,x))) = L(y,x,a(x,a(u,w,x),z)). a(x,y,L(z * L(z,u,w),v5 * z,v5 * z)) = a(x,y,v5 * (z * (L(z,u,w) \ v5))). a(x,y,L(L(z,u * z,u * z),w,v5)) = a(x,y,L((z \ u) * u,w,v5)). a(x * y,z,a(z,y,x)) = a(y,z,a(x,y,z)). ((x / y) / z) \ (y * (L(y,u,w) \ x)) = ((y \ x) / z) \ ((L(y,u,w) \ x) * y). a(x,y,z \ ((u * T(w,v5)) * (L(u * T(w,v5),v6,v7) \ ((w * u) * v8)))) = a(x,y,z \ (K(v5,w) * (K(w,u) * (v8 * L(u * T(w,v5),v6,v7))))). a(x,y,z \ ((u * w) * (L(u * w,w,u) \ v5))) = a(x,y,z \ ((w \ (u \ 1)) * ((u * w) \ v5))). a(x,1 / (1 / y),L(y,z,u)) \ (1 / (1 / y)) = y * L((y \ 1) * L(y,y,x),z,u). a(x,y,z) \ (u \ a(x,y,z)) = u \ a(a(z,y,x),u,u). a(x,y,(((z * (u \ 1)) \ w) \ 1) \ (u \ (z \ w))) = a(x,y,a(z,u,w \ (z * u))). a(x,y,a(z,x,y)) * a(y,x,z) = y \ R(y,x,z). a(x,y,a(z,x,y)) \ R(y,x,z) = y * a(y,x,z). a(x,y,a(a(z,u,w),v5,v6)) = a(x,y,a(a(w,u,z),v5,v6)). L(x,x,a(y,z,u)) \ (a(u,z,y) \ 1) = (x \ 1) * (a(u,z,L(y,z,u)) \ 1). a(L(x * (y \ 1),y,y),z,u) = a(y \ x,z,u). T(a(x,y \ z,y \ z) \ x,(z \ y) \ 1) = ((z \ y) \ 1) \ (x / (((z \ y) \ 1) \ 1)). (a(x,y,z) / z) \ 1 = z * (a(x,y,z) \ 1). (a(x,y,z) \ z) \ 1 = z \ a(x,y,z). a(x \ y,x \ y,a(z,u,w)) = a(x * y,x * y,a(z,u,w)). (x \ L(x,y,z)) \ ((x \ ((x * ((x \ L(x,y,z)) * (z * y))) / (z * y))) * u) = a(x,y,z) * ((x \ R(x,y,z)) \ u). a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = a(x * y,z,a(z,y,x)). (L(x,y,z) \ x) \ (((z * y) \ ((z * (y * x)) / x)) \ 1) = a(z * y,x,a(x,y,z)). ((x * y) \ ((x * (y * z)) / z)) * (((x * (y * z)) / z) \ (x * y)) = L(x * y,a(z,y,x),a(z,y,x)) \ (x * y). L(x,L(y,z,u),y \ L(y,z,u)) = L(x,y,y \ L(y,z,u)). (x \ L(x,x,y)) * L(z,a(y,x,x),L(x,x,y)) = x * ((x * a(y,x,x)) \ z). L(x * a(a(y,z,u),x,w),w,a(u,z,y)) = L(x,a(u,z,y),w). L(a(x,a(y,z,u),w),v5 * a(x,a(u,z,y),w),v5) \ a(x,a(y,z,u),w) = a(v5,v5 * a(x,a(y,z,u),w),a(x,a(y,z,u),w)). a(x,a(y,z,u),w) \ L(v5,a(x,a(u,z,y),w),a(x,a(u,z,y),w)) = v5 * a(w,a(u,z,y),x). ((x * y) * z) \ (x * (z * y)) = a(x,y,z) \ K(z,y). (L(x,x,a(y,z,u)) \ (((1 / x) \ a(y,z,u)) * w)) / w = a(y,z,u) * (a(w,a(y,z,u),L(x,x,a(y,z,u))) \ 1). L(x \ L(x,L(y \ 1,y,a(z,u,w)),a(w,u,z)),x,a(w,u,z) / y) = a(x,L(1 / y,y,a(z,u,w)),a(w,u,z)). L(x \ L(x,L(y \ 1,y,a(z,u,w)),a(z,u,w)),x,a(w,u,z) / y) = a(x,L(1 / y,y,a(z,u,w)),a(z,u,w)). a(a(a(x,y,z),u,w),v5,v6) = a(a(w,u,a(z,y,x)),v5,v6). L(x * a(a(y,z,z),x,u),u,a(z \ y,z,y)) = L(x,a(y,z,y * z),u). L(x,a(y \ z,y,z),a(u,w,v5)) = L(x,a(y,y,z),a(u,w,v5)). L(x * a(a(y,z,z),x,u),u,a(y,z,z)) = L(x,a(y,z,y * z),u). L(x,a(y,z,z * y),a(u,w,v5)) = L(x,a(z,z,y),a(u,w,v5)). L(x,a(y,z,y * z),u) = L(x,a(y,z,z),u). (x \ y) * a(x \ y,a(y,x,y * x),z) = L(x \ y,a(y,x,x),z). L(x,a(y,y,z),a(y,y,z)) / (z * (y * ((z * y) \ 1))) = x * a(z,y,(y * z) \ 1). L(x,a(y,y,z),a(y,y,z)) / (a(z,y,z * y) \ 1) = x * a(z,y,(y * z) \ 1). (a(x,y,x * y) \ 1) \ L(z,a(y,y,x),a(y,y,x)) = z * a(x,y,(y * x) \ 1). (a(x,y,x * y) \ 1) \ L(z,a(y,y,x),a(y,y,x)) = z * a(x,y,y * x). L(x,y,z * (L(L(u,w,v5),w,v5) \ u)) = L(x,y,z). (a(x,y,z) * a(x,y,z)) \ u = u * (z \ L(L(z,y,x),y,x)). (a(x,y,z) * a(x,y,z)) * u = z * (L(L(z,y,x),y,x) \ u). a(x,y,z * (L(L(u,w,v5),w,v5) \ v6)) = a(x,y,z * (u \ v6)). L(x,L(y,z,u),L(y,z,u)) \ x = a(y,y,x). a(x,L(L(L(y,z,u),w,v5),z,u),v6) = a(x,L(y,w,v5),v6). a(x,L((y * z) \ u,z,y),w) = a(x,z \ (y \ u),w). a(L((x * y) \ z,y,x),u,w) = a(y \ (x \ z),u,w). L(x,y,L((z * u) \ w,u,z)) = L(x,y,u \ (z \ w)). (x * L(L(x,y,z),y,z)) * L(u,x,x) = x * (L(L(x,y,z),y,z) * u). L(x,y,z * a(u,z,z)) = L(x,y,L(z,z,u)). L(x,y,L(z,u,w) \ 1) = L(x,y,L(z \ 1,u,w)). (L(L(x,y,z),y,z) \ x) \ (u \ a(z,y,L(x,w,v5))) = u \ (a(z,y,L(x,w,v5)) \ 1). ((x * y) * (z \ (u * (L(u,w,v5) \ z)))) \ (x * (y * (z \ (u * (L(u,w,v5) \ z))))) = a(z \ (u * (L(u,w,v5) \ z)),y,x). (L(x,y,z) * (x \ L(x \ L(x,y,z),u,w))) \ (x \ L(L(x,y,z),y,z)) = L(x,y,z) \ (L(x / L(x,y,z),u,w) \ x). (x \ (y * L(y \ x,z,u))) \ 1 = y \ (L(x / y,z,u) \ x). L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)) = x \ (L(R(x,y,z) / x,u,w) \ R(x,y,z)). x \ (L((x \ y) / x,z,u) \ (x \ y)) = ((x \ y) \ (x \ L(y,z,u))) \ 1. a(x,y,z \ (L(u / z,w,v5) \ u)) = a(x,y,(u \ z) * L(u \ z,w,v5)). (x \ (L(y / x,z,u) \ y)) * (y \ x) = L(1 / (y \ x),z,u) \ 1. x * L(y \ (L(z / y,u,w) \ z),z \ y,x) = (z \ y) * (L(z \ y,u,w) \ x). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = x * (x \ a(y,x,x * L(x,z,u))). (x * (L(y,z,u) \ y)) * (x \ ((y \ L(y,z,u)) \ ((y / x) \ L(y,z,u)))) = (L(y,z,u) / x) \ y. L(L(x * y,z,u) \ (x * y),y * x,y) = L(y \ (L(x / y,z,u) \ x),y,y). (x \ 1) \ (x \ a(y,z,u)) = L(a(y,z,u),x,x). ((1 / x) \ a(y,z,u)) / x = L(a(y,z,u),x,x). L(a(x,y,z),u,u) \ ((u \ a(x,y,z)) * u) = a(u \ a(x,y,z),u,u). x \ (L(x,y,a(y,y,z)) * y) = L(y,a(z,y,y),x). (a(x,x,y) \ z) \ L(z,y,a(y,x,x)) = a(x,x,L(y,y,z)). a(x,y,(z * u) * (u * (z * (u \ L(u,w,v5))))) = a(x,y,z * (u * (L(u,w,v5) \ z))). a(x / y,L(1 / y,z,u) \ 1,L(1 / y,z,u) \ 1) = ((y \ x) / L(y \ 1,z,u)) \ ((L(y,z,u) \ x) * y). a(x,y,z \ ((u * T(w,v5)) * (L(u * T(w,v5),v6,v7) \ ((w * u) * v8)))) = a(x,y,z \ (K(v5,w) * (v8 * L(u * T(w,v5),v6,v7)))). a(x,y,z \ ((u * w) * (L(u * w,w,u) \ v5))) = a(x,y,z \ (((u * w) \ v5) * (w \ u))). a(x,y,L(y,z,u)) \ (1 / (1 / y)) = y * L((y \ 1) * L(y,y,x),z,u). a(x,y,((z * (u \ 1)) \ w) \ (u \ (z \ w))) = a(x,y,a(z,u,w \ (z * u))). a(x,y,z) * a(y,x,a(x,y,z)) = x \ R(x,y,z). 1 \ R(x,L(x,y,z),u) = x * a(x,L(x,y,z),u). L(x,x,a(y,z,u)) \ (a(u,z,y) \ 1) = (x \ 1) * (a(u,z,y) \ 1). a((x \ (y \ x)) \ 1,z,u) = a(x \ ((y \ 1) \ x),z,u). T(a(x,y \ z,y \ z) \ x,y \ z) = ((z \ y) \ 1) \ (x / (((z \ y) \ 1) \ 1)). (a(x,y,z) / z) \ 1 = a(x,y,z) \ z. T(a(x,y,z) \ z,z \ 1) = (z \ a(x,y,z)) \ 1. (((x \ 1) \ y) \ 1) \ (((x \ 1) \ y) \ a(z,u,w)) = a(z,u,w) * a(x * y,x * y,a(z,u,w)). L(a(x * y,z,a(z,y,x)),L(z,y,x) \ z,u) * u = (u / (L(z,y,x) \ z)) * (L(1 / (L(z,y,x) \ z),z,x * y) \ 1). ((x * y) \ ((x * (y * z)) / z)) * (((x * (y * z)) / z) \ (x * y)) = a(a(z,y,x),a(z,y,x),x * y). (L(x,y,z) \ x) \ ((y \ (z \ ((z * (y * x)) / x))) \ 1) = a(z * y,x,a(x,y,z)). L(L(x,y,z) \ u,x,x \ L(x,y,z)) = (x \ u) * (L(x,y,z) \ x). L(L(x,y,z) \ u,x,x \ L(x,y,z)) = x \ (u * (L(x,y,z) \ x)). L(x,y,y \ L(y,z,u)) * y = (x * L(y,z,u)) * (L(y,z,u) \ y). (x \ L(x,x,y)) * L(z,a(y,x,x),L(x,x,y)) = (z / x) * L(x,x,y). K((x * y) * z,a(x,y,z) \ K(z,y)) / (K(y,z) * a(x,y,z)) = (x * (z * y)) / ((x * (z * y)) / (1 / ((x * (z * y)) \ ((x * y) * z)))). L(x \ L(x,L(y,y,a(z,u,w)),a(w,u,z)),x,a(w,u,z) / y) = a(x,L(1 / y,y,a(z,u,w)),a(w,u,z)). L(x \ L(x,L(y,y,a(z,u,w)),a(z,u,w)),x,a(w,u,z) / y) = a(x,L(1 / y,y,a(z,u,w)),a(z,u,w)). a(x,y,z * (u * (w \ L(L(w,v5,v6),v5,v6)))) = a(x,y,u * z). a(x * (y \ L(L(y,z,u),z,u)),w,v5) = a(x,w,v5). a(x * (y * (z \ L(L(z,u,w),u,w))),v5,v6) = a(x * y,v5,v6). x * (L(L(x,y,z),y,z) \ u) = u * (a(z,y,x) * a(z,y,x)). x \ (y * (L(L(y,z,u),z,u) \ w)) = (x \ w) * (a(u,z,y) * a(u,z,y)). L(x,y,z \ L(L(u,w,v5),w,v5)) = L(x,y,z \ u). a(L(x,y,z),L(x,y,z),u) = a(x,x,u). L(x,L(y,z,u),L(y,z,u)) = L(x,y,y). L(x,L(y,z,u),L(y,z,u)) = a(y,y,x) \ x. L((x * L(L(x,y,z),y,z)) * u,x,x) = x * (L(L(x,y,z),y,z) * u). L(x,y,L(z \ 1,z,u) \ 1) = L(x,y,L(z,z,u)). a(x,y,L(L(z,u,w) \ v5,L(z,u,w),L(z \ 1,v6,v7)) \ (v5 * (1 / L(z,v6,v7)))) = a(x,y,L(z,v6,v7) \ L(z,u,w)). a(x,y,L(z,u,w)) * a(x,y,L(z,u,w)) = L(L(z,y,x),y,x) \ z. a(x,y,z \ (u * (L(u,w,v5) \ z))) \ 1 = a(z \ (u * (L(u,w,v5) \ z)),y,x). (L(x,y,z) * (x \ L(x \ L(x,y,z),u,w))) \ (x \ L(L(x,y,z),y,z)) = L(x,y,z) \ (L(L(x,y,z) \ x,u,w) \ x). ((x \ y) \ (x \ L(y,z,u))) \ 1 = (x \ L(y,z,u)) \ (x \ y). a(x,y,z \ (L(z \ u,w,v5) \ u)) = a(x,y,(u \ z) * L(u \ z,w,v5)). x * L(y \ (L(y \ R(y,z,u),w,v5) \ R(y,z,u)),R(y,z,u) \ y,x) = (R(y,z,u) \ y) * (L(R(y,z,u) \ y,w,v5) \ x). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ 1,x,x \ y) \ L(L(x \ 1,x,x \ y),z,u),y \ (x \ y),y)) = a(y,x,x * L(x,z,u)). (x * (L(y,z,u) \ y)) * a(x,x,y * L(y,z,u)) = (L(y,z,u) / x) \ y. L(x \ (L(y / x,x,z) \ y),x,x) = a(z,x,y * x). a(x,x,a(y,z,u)) * K(x \ a(y,z,u),x) = a(x \ a(y,z,u),x,x). x \ (L(x,y,a(y,y,z)) * y) = a(x,a(y,y,z),L(y,y,z)) * y. a(x / y,L(1 / y,z,u) \ 1,L(1 / y,z,u) \ 1) = a(L(y,z,u) \ x,y,y). a(x,y,z \ ((u * T(w,v5)) * (L(u * T(w,v5),v6,v7) \ ((w * u) * v8)))) = a(x,y,z \ (v8 * L(u * T(w,v5),v6,v7))). a(x,y,((z * u) \ w) \ (z \ (u \ w))) = a(x,y,a(u,z,w \ (u * z))). x \ R(x,L(x,y,z),u) = a(x,L(x,y,z),u). a(x \ ((y \ 1) \ x),x \ (y \ x),z) \ z = L(z,x \ (y \ x),(x \ (y \ x)) \ 1). ((x \ y) \ 1) \ (z / (((x \ y) \ 1) \ 1)) = (y \ x) \ (z / ((y \ x) \ 1)). (a(x,y,z \ L(z,u,w)) \ 1) * L(z \ L(z,u,w),a(x,y,z \ L(z,u,w)),a(x,y,z \ L(z,u,w))) = (a(x,y,z \ L(z,u,w)) / (z \ L(z,u,w))) \ 1. (x \ 1) \ (a(y,z,x) \ 1) = (x \ a(y,z,x)) \ 1. (((x \ 1) \ y) \ 1) \ (((x \ 1) \ y) \ a(z,u,w)) = L(a(z,u,w),x * y,x * y). L(a(x * y,z,a(z,y,x)),z \ L(z,y,x),u) * u = (u / (L(z,y,x) \ z)) * (L(1 / (L(z,y,x) \ z),z,x * y) \ 1). ((x * y) \ ((x * (y * z)) / z)) * a(x,y,z) = a(a(z,y,x),a(z,y,x),x * y). (L(x,y,z) \ x) \ a(z,y,L(x,y,z)) = a(z * y,x,a(x,y,z)). x \ ((x \ L(x,y,z)) \ u) = (x \ u) * (L(x,y,z) \ x). (x \ L(x,y,z)) \ u = u * (L(x,y,z) \ x). L(x * y,y,y \ L(y,z,u)) = (x * L(y,z,u)) * (L(y,z,u) \ y). L(x,a(y,z,z),L(z,z,y)) = L(x,z,a(z,z,y)). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = K((x * z) * y,K(y,z)) / (K(z,y) * a(x,z,y)). a(x,y,z * (u \ L(L(w,v5,v6),v5,v6))) = a(x,y,(u \ w) * z). a((x \ L(L(x,y,z),y,z)) * (u * w),v5,v6) = a(w * u,v5,v6). a(x * L(L(y,z,u),z,u),w,v5) = a(x * y,w,v5). (x \ y) * (a(z,u,x) * a(z,u,x)) = L(L(x,u,z),u,z) \ y. (x / ((a(y,z,u) \ 1) \ w)) * (u * (L(L(u,z,y),z,y) \ w)) = w * ((a(y,z,u) \ w) \ x). x * (L(L(y,z,u),z,u) \ y) = y * (L(L(y,z,u),z,u) \ x). L(x,y,L(z,u,u) * (u \ 1)) = L(x,y,u \ z). a(R(x,y,z),L(x,y,z),u) = a(x,x,u). a(x \ (y \ z),L((y * x) \ z,x,y),u) = a((y * x) \ z,(y * x) \ z,u). a(x \ (y \ x),L(y \ 1,y,x),z) = a(y \ 1,y \ 1,z). L((x * L(L(x,y,z),y,z)) * u,x,x) = L(x,y,z) * (L(x,y,z) * u). L(x,y,L(z,u,w) \ L(v5,z,z)) = L(x,y,v5 * (L(z,u,w) \ 1)). a(x,y,z \ (u \ L(L(w,v5,v6) \ v7,w,w))) = a(x,y,z \ (u \ (v7 * L(w,v5,v6)))). L(x,y,L(z \ u,z \ u,z)) = L(x,y,(u \ z) \ 1). a(x,y,L(L(z,u,w) \ v5,L(z,u,w),L(z \ 1,v6,v7)) \ (v5 * (L(z,v6,v7) \ 1))) = a(x,y,L(z,v6,v7) \ L(z,u,w)). (L(x,y,z) * (x \ L(x \ L(x,y,z),x,u))) \ (x \ L(L(x,y,z),y,z)) = L(x,y,z) \ (x * L(x \ L(x,y,z),x,u)). a(x,y,(z \ L(u,w,v5)) \ (z \ u)) = a(x,y,(z \ u) \ (z \ L(u,w,v5))). a(x,y,(z \ u) * L(z \ u,u,w)) = a(x,y,a(u \ z,u,w)). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L((x \ 1) \ L(x \ 1,z,u),x,x \ y),y \ (x \ y),y)) = a(y,x,x * L(x,z,u)). x * (a(x,x,y * L(y,z,u)) * (L(y,z,u) \ y)) = (L(y,z,u) / x) \ y. L(a(x,y,y \ z),y,y) = a(x,y,z * y). a(x,y,y) * (z * L(y,y,x)) = L(z,y,a(y,y,x)) * y. a(x / y,L(1 / y,z,u) \ 1,L(1 / y,z,u)) = a(L(y,z,u) \ x,y,y). a(x,y,z \ ((u * w) * (L(u * w,v5,v6) \ ((w * u) * v7)))) = a(x,y,z \ (v7 * L(u * T(w,v8),v5,v6))). L(x,y \ (z \ y),(y \ (z \ y)) \ 1) = a(z,z \ 1,x) \ x. (1 / (x \ y)) \ (z / (x \ y)) = (y \ x) \ (z / ((y \ x) \ 1)). (a(x,y,z \ L(z,u,w)) \ 1) * L(z \ L(z,u,w),a(x,y,z \ L(z,u,w)),a(x,y,z \ L(z,u,w))) = (a(x,y,z * L(z,u,w)) / (z \ L(z,u,w))) \ 1. L(a(x,y,z),(u \ 1) \ w,(u \ 1) \ w) = L(a(x,y,z),u * w,u * w). L(a(x * y,z,a(z,y,x)),z \ L(z,y,x),u) * u = ((L(z,y,x) \ z) \ u) * (L(1 / (L(z,y,x) \ z),z,x * y) \ 1). a(x,y,z) * ((x * y) \ ((x * (y * z)) / z)) = a(a(z,y,x),a(z,y,x),x * y). L(L(x,y,z) \ x,u,w) \ L(a(z,y,L(x,y,z)),u,w) = L(a(z * y,x,a(x,y,z)),u,w). (x \ L(x,y,z)) \ u = (L(x,y,z) \ x) * u. ((x \ L(x,y,z)) * u) * (L(x,y,z) \ x) = u. x \ ((y \ L(y,z,u)) \ x) = L(y,z,u) \ y. (L(x,y,z) \ x) \ u = (x \ L(x,y,z)) * u. x / (y \ L(y,z,u)) = x * (L(y,z,u) \ y). (a(x \ 1,x,y) \ L(y,z,u)) * (L(y,z,u) \ y) = L(y,x,x \ (y \ L(y,z,u))). (x * (y \ L(y,z,u))) * (L(y,z,u) \ y) = x. L(x,y \ L(y,z,u),y \ L(y,z,u)) = x. L(x,y \ L(y,z,u),y * L(y,z,u)) = x. L(x,y \ L(y,z,u),L(y,z,u) \ y) = x. (x * (L(y,z,u) \ y)) * (y \ L(y,z,u)) = x. (x * (y \ L(y,z,u))) \ x = L(y,z,u) \ y. a(x,y,L(z * (L(u,w,w \ 1) \ u),v5,v6)) = a(x,y,L(a(w \ 1,w,u) \ z,v5,v6)). (x * (L(y,z,u) \ y)) * (L(y,z,u) \ y) = x * (L(L(y,z,u),z,u) \ y). L(x,x,y) * (a(y,x,x) * z) = x * L(z,x,a(x,x,y)). L(x,x,y) * (a(y,x,x) * (R(x,x,y) * (x \ z))) = R(x,x,y) * L(z,x,a(x,x,y)). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = K(y,K((x * z) * y,z)) / (K(z,y) * a(x,z,y)). a(x,y,L(z,u,w)) * a(x,y,L(z,u,w)) = a(x,y,z) * a(x,y,z). a(x * (y * (L(y,z,u) \ y)),w,v5) = a(x * L(y,z,u),w,v5). a(x * (y * a(z,y,y)),u,w) = a(x * L(y,y,z),u,w). L(x,y,z * (L(L(u,w,v5),w,v5) \ v6)) = L(x,y,(u \ v6) * z). x * (L(L(x,y,z),y,z) \ (u * w)) = u * (w * (L(L(x,y,z),y,z) \ x)). (x * (y * (L(L(z,u,w),u,w) \ z))) \ (x * (y * ((L(L(z,u,w),u,w) \ z) * v5))) = L(L(v5,L(L(z,u,w),u,w) \ z,y),z * (L(L(z,u,w),u,w) \ y),x). (x * (y * (L(L(y,z,u),z,u) \ w))) * v5 = (x * w) * (v5 * (L(L(y,z,u),z,u) \ y)). L(x,y,(z \ u) * L(z,w,v5)) = L(x,y,z * (L(z,w,v5) \ u)). x * T(L(L(x,y,z),y,z) \ (u * (w * L(L(x,y,z),y,z))),u * w) = u * ((w * L(L(x,y,z),y,z)) * (L(L(x,y,z),y,z) \ x)). (x * (y * (L(L(z,u,w),u,w) \ z))) \ (x * (y * (z * (L(L(z,u,w),u,w) \ v5)))) = L(L(v5,L(L(z,u,w),u,w) \ z,y),z * (L(L(z,u,w),u,w) \ y),x). (x * (y * (L(L(y,z,u),z,u) \ w))) * v5 = (x * w) * (v5 * (a(u,z,y) * a(u,z,y))). x * T(L(L(x,y,z),y,z) \ (u * (w * L(L(x,y,z),y,z))),u * w) = u * (w * (L(L(x,y,z),y,z) * (L(L(x,y,z),y,z) \ x))). ((x * y) \ (x * (y * (z * (L(L(z,u,w),u,w) \ v5))))) * (z \ L(L(z,u,w),u,w)) = L(L(v5,L(L(z,u,w),u,w) \ z,y),z * (L(L(z,u,w),u,w) \ y),x). x * T(L(L(x,y,z),y,z) \ (u * (w * L(L(x,y,z),y,z))),u * w) = u * (w * x). L(L(x,L(L(y,z,u),z,u) \ y,w),y * (L(L(y,z,u),z,u) \ w),v5) = L(y * (L(L(y,z,u),z,u) \ x),w,v5) * (y \ L(L(y,z,u),z,u)). x * (L(L(x,y,z),y,z) \ (u * (w * L(L(x,y,z),y,z)))) = u * (w * x). L(L(x,L(L(y,z,u),z,u) \ y,w),y * (L(L(y,z,u),z,u) \ w),v5) = L((y * (L(L(y,z,u),z,u) \ x)) * (y \ L(L(y,z,u),z,u)),w,v5). L(L(x,L(L(y,z,u),z,u) \ y,w),y * (L(L(y,z,u),z,u) \ w),v5) = L(y * ((L(L(y,z,u),z,u) \ x) * (y \ L(L(y,z,u),z,u))),w,v5). L(L(x,L(L(y,z,u),z,u) \ y,w),y * (L(L(y,z,u),z,u) \ w),v5) = L(y * (y \ x),w,v5). L(L(x,L(L(y,z,u),z,u) \ y,w),y * (L(L(y,z,u),z,u) \ w),v5) = L(x,w,v5). L(x,y * (L(L(y,z,u),z,u) \ w),v5) = L(x,w,v5). L(x,L(L(y,z,u),z,u),w) = L(x,y,w). L(x,y * (z \ L(L(z,u,w),u,w)),v5) = L(x,y,v5). L(x,y * (z * L(L(u,w,v5),w,v5)),v6) = L(x,y * (z * u),v6). L(x,L(y * (z \ 1),z,z),u) = L(x,z \ y,u). L(x,L(y \ z,z \ y,z),u) = L(x,(z \ y) \ 1,u). L(x,L(y * z,y \ 1,y),u) = L(x,(y \ 1) \ z,u). L(x,y * a(z,z,y),u) = L(x,L(y,z,z),u). L(x,L(y,z,u) \ 1,w) = L(x,L(y \ 1,z,u),w). L(x,y * (z * (u \ L(L(u,w,v5),w,v5))),v6) = L(x,y * z,v6). L(x,y * (z * (L(u,w,v5) \ 1)),v6) = L(x,y * (z * L(u \ 1,w,v5)),v6). a(x,y,z * (L(u * (w \ 1),w,w) * L(v5,w \ u,L(u * (w \ 1),w,w)))) = a(x,y,(L(u * (w \ 1),w,w) \ v5) * z). L(x,y \ (((y \ z) \ 1) \ y),u) = L(x,(z \ y) \ 1,u). L(x,L(y * z,y,y),u) = L(x,(y \ 1) \ z,u). a(x,y,L(z,L(u * w,u \ 1,u) \ 1,v5)) = a(x,y,L(z,(u \ 1) \ w,v5)). L(x,y * (z * (L(z,u,w) \ 1)),v5) = L(x,y * (z \ L(z,u,w)),v5). L(x,L(y \ z,y \ z,y),u) = L(x,(z \ y) \ 1,u). L(x,L(y * z,z,z),u) = L(x,(z \ 1) \ y,u). a(x,y * z,y \ z) \ (y * z) = L(y * z,(y \ 1) \ z,x). L(x,y * (L(z,u,w) \ z),v5) = L(x,y * (z \ L(z,u,w)),v5). L(L(x,y,z) \ x,x,x * (L(x,u,w) \ v5)) = L(L(x,y,z) \ x,x,L(x,u,w) * v5). L(x,y,z * (L(z,u,w) \ (R(z,z,v5) \ v5))) = L(x,y,((z * z) \ v5) * L(z,u,w)). a(R(x,y,z),R(x,y,z),u) = a(x,x,u). a((x * y) \ z,(x * y) \ z,u) = a(y \ (x \ z),y \ (x \ z),u). L(x,y \ (z \ y),y \ (z \ y)) = a(z \ 1,z \ 1,x) \ x. L(x,y,z) * (L(x,y,z) * u) = x * (L(L(x,y,z),y,z) * u). a(x,y,z \ (u \ (w * L(v5 \ 1,v6,v7)))) = a(x,y,z \ (u \ (w * L(v5,v6,v7)))). L(x,L(y \ z,y \ z,y),(z \ y) \ 1) = L(x,y \ z,y \ z). a(x,y,L(L(z,u,w) \ v5,L(z,u,w),L(z \ 1,v6,v7)) \ (L(z,v6,v7) * v5)) = a(x,y,L(z,v6,v7) \ L(z,u,w)). (L(x,y,z) * (x \ L(x \ L(x,y,z),x,u))) \ (x \ L(L(x,y,z),y,z)) = a(u,x,x \ L(x,y,z)) \ 1. L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ L(x,z,u),x,x \ y),y \ (x \ y),y)) = a(y,x,x * L(x,z,u)). L(x * y,L(x * y,x,y),z) = L(x * y,(x \ 1) \ y,z). (1 / x) \ (L(y,z,u) \ y) = (L(y,z,u) / x) \ y. a(x,x,a(y,z,u)) * K(x \ 1,x) = a(x \ a(y,z,u),x,x). a(x / y,L(1 / y,z,u) \ 1,L(y,z,u)) = a(L(y,z,u) \ x,y,y). a(x,y,z \ ((u * w) * ((w * u) * (L(u * w,v5,v6) \ v7)))) = a(x,y,z \ (v7 * L(u * T(w,v8),v5,v6))). L(x,y \ (z \ y),(y \ (z \ y)) \ 1) = L(x,z \ 1,z). (a(x,y,z \ L(z,u,w)) \ 1) * L(z \ L(z,u,w),a(x,y,z \ L(z,u,w)),a(x,y,z \ L(z,u,w))) = ((z \ L(z,u,w)) \ a(x,y,z * L(z,u,w))) \ 1. L(a(x,y,z),u \ w,u \ w) = L(a(x,y,z),u * w,u * w). L(a(x * y,z,a(z,y,x)),z \ L(z,y,x),u) * u = ((L(z,y,x) \ z) \ u) * (L(z \ L(z,y,x),z,x * y) \ 1). a(a(x,y,z),a(x,y,z),z * y) * (((z * (y * x)) \ (x * (z * y))) \ 1) = (z * y) \ (x \ (z * (y * x))). L(L(x,y,z) \ x,u,w) \ L(a(z,y,L(x,y,z)),u,w) = L(a(y,x,a(z,y,x)),u,w). (L(x,y,z) \ x) * (u * (x \ L(x,y,z))) = u. ((L(x,y,z) \ x) * u) * (x \ L(x,y,z)) = u. (L(x,y,z) \ x) \ u = u * (x \ L(x,y,z)). L(L(x,y,z) \ x,L(x,y,z) \ x,u) = L(x,y,z) \ x. (L(x,y,z) \ L(L(x,y,z),x,u)) \ w = a(u,x,L(x,y,z)) * w. (x \ L(x,y,y)) * z = a(y,y,x) \ z. a(x,y,L(z,z,y)) = L(z,y,x) \ z. a(x,y,y \ (z \ y)) = L(z,y,x) \ z. L(x \ 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) \ x)) * L(x \ L(x,y,z),w,v5)) = L(L(x,y,z) / x,w,v5) * u. L(L(x,y,z) \ x,u * (x \ L(x,y,z)),w) = (w * (u * (x \ L(x,y,z)))) \ (w * u). L(x * (y \ L(y,z,u)),y,y \ L(y,z,u)) = y * ((L(1 / y,z,u) \ 1) \ x). L(x,a(y,y,z),a(y,y,z)) = x. L(x,L(y,z,u) \ y,L(y,z,u) \ y) = x. a(x,y \ L(y,z,u),y * L(y,z,u)) = 1. L(x,a(y,z,u),a(y,z,u)) = x. x * (y \ L(y,y,z)) = a(z,y,y) \ x. a(x,y,L(a(z \ 1,z,u) \ w,v5,v6)) = a(x,y,L(w * a(z \ 1,z,u),v5,v6)). (x * (L(y,z,u) \ y)) * (L(y,z,u) \ y) = x * (a(u,z,y) * a(u,z,y)). L(x,x,y) * (a(y,x,x) * z) = L(x * z,x,a(x,x,y)). L(x,x,y) * (a(y,x,x) * (R(x,x,y) * (x \ z))) = x * (a(x,x,y) * z). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = K(y,K(x * (z * y),z)) / (K(z,y) * a(x,z,y)). a(L(x,y,z) * (L(L(x,y,z),u,w) \ (z * (y * x))),v5,v6) = a((z * y) * L(L(x,y,z),u,w),v5,v6). L(L(x,y,z) \ x,x,L(x,u,w) \ v5) = L(L(x,y,z) \ x,x,L(x,u,w) * v5). L(x,L((y * z) \ u,w,v5),L((y * z) \ u,w,v5)) = a(z \ (y \ u),z \ (y \ u),x) \ x. L(x,y \ (z \ y),y \ (z \ y)) = L(x,z \ 1,z \ 1). a(x,y,z \ (u \ (w * L(1 / v5,v6,v7)))) = a(x,y,z \ (u \ (w * L(v5,v6,v7)))). L(x,(y \ z) \ 1,(y \ z) \ 1) = L(x,z \ y,z \ y). (L(x,y,z) * (x \ L(x \ L(x,y,z),x,u))) \ (x \ L(L(x,y,z),y,z)) = a(u,x,x * L(x,y,z)) \ 1. L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ L(L(x \ L(x,z,u),x,y),y \ (x \ y),y)) = a(y,x,x * L(x,z,u)). (L(x,y,z) / z) \ x = x * (L(x,y,z) \ z). ((L(x,y,z) \ x) / (1 / u)) \ 1 = 1 / ((L(x,y,z) / u) \ x). (L(x,y,z) / (u \ 1)) \ x = u \ (L(x,y,z) \ x). (x \ a(x,x,a(y,z,u))) * x = a(x \ a(y,z,u),x,x). a(x / y,L(y \ 1,z,u) \ 1,L(y,z,u)) = a(L(y,z,u) \ x,y,y). a(x,y,z \ ((L(1 / (u * w),v5,v6) \ 1) * v7)) = a(x,y,z \ (v7 * L(w * T(u,v8),v5,v6))). L(L(x,y \ (z \ y),z),z,a(z,z,y)) = L(x,z \ 1,z). (a(x,y,z \ L(z,u,w)) \ 1) * L(z \ L(z,u,w),a(x,y,z \ L(z,u,w)),a(x,y,z \ L(z,u,w))) = (z * (L(z,u,w) \ a(x,y,z * L(z,u,w)))) \ 1. L(a(x * y,z,a(z,y,x)),z \ L(z,y,x),u) * u = ((L(z,y,x) \ z) \ u) * ((a(x,y,L(z,y,x)) \ 1) \ 1). a(a(x,y,z),a(x,y,z),z * y) * ((a(z,y,x) * K(x,z * y)) \ 1) = (z * y) \ (x \ (z * (y * x))). L((1 / x) \ (y * (x \ L(x,z,u))),x,x \ L(x,z,u)) = (1 / L(x,z,u)) \ y. (x * (y \ L(y,z,u))) * (L(y,z,u) \ (y * L(y \ L(y,z,u),w,v5))) = x * L(x \ ((L(y,z,u) \ y) \ x),w,v5). ((x * (y \ L(y,z,u))) \ 1) \ 1 = (L(y,z,u) \ y) \ ((x \ 1) \ 1). a(x,L(y,z,u) \ y,L(y,z,u) \ y) = 1. (L(x,y,z) \ x) * L((L(x,y,z) \ x) \ a(u,L(x,y,z) \ x,L(x,y,z) \ x),w,v5) = L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,w,v5),L(x,y,z) \ x,u). (x \ ((y \ 1) * (y * x))) * z = (y * (x / (y * x))) \ z. ((x * (y / (x * y))) \ 1) * z = (x * (y / (x * y))) \ z. (a(x,y,x * y) \ 1) \ z = z * a(x,y,y * x). a(a(x,y,z),a(x,y,z),u) = 1. R(x,a(y,z,u),a(y,z,u)) = x. (L(a(x,y,z),u,w) \ 1) * v5 = 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(u \ a(x,y,z),w,v5)). (a(x,y,z) \ 1) \ u = u * a(x,y,z). (1 / a(x,y,z)) * u = a(x,y,z) \ u. (a(x,y,z) \ 1) * u = a(x,y,z) \ u. x * (a(y,z,u) \ 1) = a(y,z,u) \ x. (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) * (u * a(x,y,z)). (a(x,y,z) * a(x,y,z)) * (a(x,y,z) \ u) = a(x,y,z) * u. (a(x,y,z) \ u) / u = a(x,y,z) \ 1. x \ (a(y,z,u) \ x) = a(y,z,u) \ 1. (a(x,y,z) \ 1) \ u = a(x,y,z) * u. L(x \ R(x,y * a(z,u,w),a(z,u,w)),x,y) = a(x,y * a(z,u,w),a(z,u,w)). R(x,y,a(z,u,w) \ v5) = R(x,y,v5 * a(z,u,w)). 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(x,y,z \ (a(u,w,v5) * v6)). a(x,y,L(L(a(z,u,w) \ v5,v6,v7),v8,v9)) = a(x,y,L(L(a(z,u,w) * v5,v6,v7),v8,v9)). a(x,y,z \ (u \ (a(w,v5,v6) \ v7))) = a(x,y,z \ (u \ (v7 * a(w,v5,v6)))). a(x,y,(a(z,u,w) \ v5) * v6) = a(x,y,(v5 * a(z,u,w)) * v6). a(a(x,y,z) \ u,w,v5) = a(a(x,y,z) * u,w,v5). a(x,y,L(a(z,u,w) \ v5,v6,v7)) = a(x,y,L(a(z,u,w) * v5,v6,v7)). a(x,y,a(z,u,y)) \ w = w * a(y,a(z,u,y),x). a(x,y,(a(z,u,w) \ v5) * v6) = a(x,y,v6 * (v5 * a(z,u,w))). a(x,y,z \ (u * (a(w,v5,v6) \ v7))) = a(x,y,z \ (u * (a(w,v5,v6) * v7))). a(x,a(y,z,u),w) \ v5 = v5 * a(w,a(u,z,y),x). a(a(x,y,z),a(x,y,z),u) = a(a(w,v5,v6),a(w,v5,v6),v7). a(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),a(x,y,z),u) = a(x,y,z). a(x,y,L((z \ u) * u,L(z,u * z,u * z),y)) = L(L(z,u * z,u * z),y,x) \ L(z,u * z,u * z). a(x,y,L(L(z,z,u),L(z,z,u \ z),y)) = L(L(z,z,u \ z),y,x) \ L(z,z,u \ z). a(x,L(y,z,z),L(z,z,y)) = L(z,L(y,z,z),x) \ z. a(x,L(y,z,u),L(L(y,L(y,w,v5),y),w,v5)) = L(L(y,w,v5),L(y,z,u),x) \ L(y,w,v5). a(x,a(L(y,y,z),z,u),w) = a(x,L(y,z,u) \ y,w). (L(x,x,a(y,z,u)) \ (((1 / x) \ a(y,z,u)) * w)) / w = a(y,z,u) * ((L(x,a(y,z,u),w) \ x) \ 1). L(x \ L(x,x,y),z,u) \ w = a(y,x,L(x,z,u)) * w. L(x,a(y,y,x),z) \ (L(x,y,y) * z) = a(y,y,x) \ z. a(x,y,y \ (z \ y)) \ z = L(z,y,x). L(L(x,y,z) \ x,y,y) = a(z,y,(x \ y) * y). L(x,x \ L(x,y,z),u) * (x \ L(x,y,z)) = L(L(x,x \ L(x,y,z),u),y,z). L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = a(w,u,x \ L(x,y,z)). L(x * (y \ L(y,z,u)),y,y \ L(y,z,u)) = (x / y) * L(y,z,u). a(L(x,y,z) \ x,L(x,y,z) \ x,u) = 1. a(x,y,L(a(z \ 1,z,u) \ w,v5,v6)) = a(x,y,L(w * a(u,z,z),v5,v6)). L(x * (R(x,x,y) * (x \ z)),x,a(x,x,y)) = x * (a(x,x,y) * z). a(L(x,y,z) * (L(L(x,y,z),u,w) \ (z * (y * x))),v5,v6) = a(z * (y * L(x,u,w)),v5,v6). L(x,L((y * z) \ u,w,v5),L((y * z) \ u,w,v5)) = L(x,z \ (y \ u),z \ (y \ u)). L(x,y \ T((y / z) * u,u \ z),y \ (L(u \ z,u,z \ y) \ y)) = L(x,L(u \ z,u,z \ y) \ 1,L(u \ z,u,z \ y) \ 1). L(x,(y * z) \ T(a(u,y,z) * y,z),(y * z) \ (L(z,y,u) \ (y * z))) = L(x,L(z,y,u) \ 1,L(z,y,u) \ 1). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ (x \ L(x,z,u))) = a(y,x,x * L(x,z,u)). (x * (L(x,y,z) \ z)) \ x = z \ L(x,y,z). (x \ L(x,y,z)) / (u \ 1) = 1 / (u \ (L(x,y,z) \ x)). x \ (L(R(y,x,x),z,u) \ R(y,x,x)) = (L(y,z,u) * x) \ R(y,x,x). (x \ 1) * L(x,x,a(y,z,u)) = a(x \ a(y,z,u),x,x). a(L(x,y,z) \ u,x,x) = a(u / x,x,x). a(x,y,z \ (L(1 / (u * w),v5,v6) * v7)) = a(x,y,z \ (v7 * L(w * T(u,v8),v5,v6))). (a(x,y,z * L(z,u,w)) \ 1) * L(z \ L(z,u,w),a(x,y,z \ L(z,u,w)),a(x,y,z \ L(z,u,w))) = (z * (L(z,u,w) \ a(x,y,z * L(z,u,w)))) \ 1. L(a(x * y,z,a(z,y,x)),z \ L(z,y,x),u) * u = ((L(z,y,x) \ z) \ u) * a(x,y,L(z,y,x)). a(a(x,y,z),a(x,y,z),z * y) * (K(z * y,x) * (a(z,y,x) \ 1)) = (z * y) \ (x \ (z * (y * x))). L(((1 / x) \ y) * (x \ L(x,z,u)),x,x \ L(x,z,u)) = (1 / L(x,z,u)) \ y. (x * (y \ L(y,z,u))) * (y * (L(y,z,u) \ L(y \ L(y,z,u),w,v5))) = x * L(x \ ((L(y,z,u) \ y) \ x),w,v5). ((x * (y \ L(y,z,u))) \ 1) \ 1 = ((x \ 1) \ 1) * (y \ L(y,z,u)). L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,u,w),L(x,y,z) \ x,v5) = (L(x,y,z) \ x) * L((L(x,y,z) \ x) \ 1,u,w). ((x * (y * z)) / L(z,z,y)) \ (x * R(y,z,z)) = L(z,L(y,z,z),x) \ z. L(L(x,y,z),L(x,u,w),v5) \ L(x,y,z) = a(v5,L(x,u,w),L(x,y,z)). a(x,a(L(y,y,z),z,u),w) = a(x,y \ L(y,z,u),w). (L(x,x,a(y,z,u)) \ (((1 / x) \ a(y,z,u)) * w)) / w = a(y,z,u) * (x \ L(x,a(y,z,u),w)). a(x,y \ L(y,z,u),y) \ L(y,z,u) = L(L(y,y \ L(y,z,u),x),z,u). L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = a(w,u,x * L(x,y,z)). (x \ ((y \ 1) * (y * x))) \ z = (y * (x / (y * x))) * z. a(x,y,L((z * (u / (z * u))) \ w,v5,v6)) = a(x,y,L((z * (u / (z * u))) * w,v5,v6)). L(x * a(y,z,z * y),y * z,a(z,z,y)) = (y * z) * (L(y * z,z,y) \ x). L(x * a(y,z,z * y),y,a(z,z,y)) = (a(y,z,y * z) \ y) \ (y * x). x \ (L(a(y,z,u),w,v5) \ x) = L(a(y,z,u),w,v5) \ 1. (a(x,y,z) \ (u * L(u \ a(x,y,z),w,v5))) \ 1 = L(a(x,y,z) * u,w,v5) \ (a(x,y,z) * u). (a(x,y,z) * u) \ u = a(x,y,z) \ 1. a(x,y,z \ ((a(u,w,v5) \ v6) \ v7)) = a(x,y,z \ ((v6 * a(u,w,v5)) \ v7)). a(a(x,y,z) \ u,w,v5) = a(u * a(x,y,z),w,v5). L(x,y,z \ (a(u,w,v5) \ v6)) = L(x,y,z \ (v6 * a(u,w,v5))). a(a(x,y,z),u,w) \ v5 = v5 * a(w,u,a(x,y,z)). a(x,y,a(z,u,w)) \ v5 = v5 * a(a(z,u,w),y,x). a(x,y,a(z,u,u)) \ w = w * a(x,y,a(z,u,u)). a(x,y,z) * (u * (w * (a(x,y,z) \ 1))) = a(x,y,z) \ (u * (w * a(x,y,z))). a(x,y,z) * (u * (z \ L(L(z,y,x),y,x))) = a(x,y,z) \ u. a(x,y,z) * (u \ (w * (a(x,y,z) \ 1))) = a(x,y,z) \ (u \ (w * a(x,y,z))). a(x,y,z) \ (a(x,y,z) \ (u \ a(x,y,z))) = u \ (a(x,y,z) \ 1). (a(x,y,z) \ K(u,w)) * v5 = K(u,w) * (a(x,y,z) \ v5). x * (L(x,y,z) \ (a(u,w,v5) \ 1)) = L(x,y,z) \ (a(u,w,v5) \ x). x \ (y * (a(z,u,w) \ (v5 * v5))) = (x \ (a(z,u,w) \ y)) * (v5 * v5). (a(x,y,z) \ u) * L(w,u,a(x,y,z)) = (a(x,y,z) \ 1) * (u * w). (x * (a(y,z,u) \ w)) \ ((a(y,z,u) \ 1) * v5) = (x * (w * a(y,z,u))) \ (a(y,z,u) * v5). ((a(x,y,z) * u) \ w) * (a(x,y,z) * a(x,y,z)) = (a(x,y,z) \ u) \ w. L(x \ (a(y,z,u) * w),x,a(y,z,u)) = (a(y,z,u) \ x) \ L(w,a(y,z,u),a(y,z,u)). (x * a(y,z,u)) * ((a(y,z,u) \ x) \ w) = w * (a(y,z,u) * a(y,z,u)). (a(x,y,z) * u) \ (w * ((a(x,y,z) \ 1) \ v5)) = (a(x,y,z) \ u) \ (w * (a(x,y,z) \ v5)). (a(x,y,z) \ u) * L(w,a(x,y,z),u) = u * ((a(x,y,z) \ 1) * w). x * ((a(y,z,u) \ 1) * L(x,w,v5)) = L(x,w,v5) * (a(y,z,u) \ x). L(a(x,x,y) \ 1,z,u) * w = a(x,x,L(y,z,u)) \ w. a(x,y,z * (a(u,w,v5) \ v6)) = a(x,y,z * (v6 * a(u,w,v5))). L(x,y,a(z,u,w)) * (a(z,u,w) \ y) = (x * y) * (a(z,u,w) \ 1). (x * (a(y,z,u) \ w)) \ (((a(y,z,u) \ 1) * x) * w) = a(x,a(y,z,u),w). a(x,(a(y,z,u) \ w) \ v5,v6) = a(x,(w * a(y,z,u)) \ v5,v6). a(x,a(y,z,u) \ w,v5) = a(x,w * a(y,z,u),v5). L(x,a(y,z,u),w) * (a(y,z,u) \ w) = (x * (a(y,z,u) \ 1)) * w. L(a(x,y,z) \ u,u,a(x,y,z)) = (a(x,y,z) / u) \ 1. (a(x,y,z) \ 1) * ((a(x,y,z) \ u) \ w) = a(x,y,z) * ((u * a(x,y,z)) \ w). a(a(x,y,z),u,w) \ v5 = a(w,u,a(x,y,z)) * v5. (x \ (a(y,z,u) * w)) * (u \ L(L(u,z,y),z,y)) = x \ (a(y,z,u) \ w). x / (a(y,z,u) \ 1) = a(y,z,u) * x. L(x,x,a(y,z,u)) \ (a(u,z,y) \ 1) = a(u,z,y) \ (x \ 1). x * L(y \ L(y,y,z),u,w) = a(z,y,L(y,u,w)) \ x. x / (a(y,z,u) \ K(w,v5)) = a(y,z,u) * (x * K(v5,w)). L(a(x,y,z) \ 1,u,w) * (w * u) = w * (a(x,y,z) \ u). (a(x,y,z) * a(x,y,z)) * (a(u,w,v5) \ v6) = v6 * (a(u,w,v5) \ (a(x,y,z) * a(x,y,z))). (a(x,y,z) \ u) / ((a(x,y,z) \ 1) * w) = (u * a(x,y,z)) / (a(x,y,z) * w). (a(x,y,z) \ u) \ ((a(x,y,z) \ 1) * w) = (a(x,y,z) * u) \ (w * a(x,y,z)). x \ ((a(y,z,u) \ w) * (w \ x)) = L(a(y,z,u) \ 1,w,w \ x). L(L(1 / (a(x,y,z) \ 1),u,w) \ 1,w,u) = u \ (w \ (u * (a(x,y,z) \ T(w,u)))). L(a(x,y,z) \ 1,u,w) * (w * a(u,w,L(a(x,y,z),u,w))) = u \ ((a(x,y,z) \ u) * w). (a(x,y,z) \ 1) \ (u \ ((a(x,y,z) \ w) * v5)) = a(x,y,z) \ (u \ ((w * a(x,y,z)) * v5)). (a(x \ 1,x,y) \ z) * (z \ y) = a(x \ 1,x,L(y,z,z)) \ y. (a(x,y,z) \ u) * ((a(x,y,z) \ 1) \ w) = (u * a(x,y,z)) * (a(x,y,z) \ w). a(x,y,z) * (a(x,y,z) * u) = z * (L(L(z,y,x),y,x) \ u). L(x,y,a(z,u,w) \ v5) = L(x,y,a(z,u,w) * v5). a(L(a(x,y,z) \ u,w,v5),v6,v7) = a(L(a(x,y,z) * u,w,v5),v6,v7). a(x,y,z) * (u * a(x,y,z)) = z * (L(L(z,y,x),y,x) \ u). L(a(x,y,z) \ 1,u * a(x,y,z),w) = (w * (u * a(x,y,z))) \ (w * u). a(x \ y,x,x) \ (z * (1 / (y \ (y / x)))) = a(x \ y,x,x) * (z * L(x,x,x \ y)). (a(x,y,z) \ u) \ L(u,w,v5) = a(x,y,z) * (u \ L(u,w,v5)). L(a(x,y,z) * u,a(x,y,z),w) = ((a(x,y,z) \ 1) * w) \ (w * u). L(a(x,y,z) * (u \ w),a(x,y,z),u) = (u * (a(x,y,z) \ 1)) \ w. a(a(x,y,z) \ u,a(x,y,z),a(x,y,z) * w) = ((a(x,y,z) \ w) \ (w * (a(x,y,z) \ u))) \ u. a(x,y * (a(z,u,w) \ v5),v6) = a(x,y * (a(z,u,w) * v5),v6). L(a(x,y,z),u,w \ (a(v5,v6,v7) \ v8)) = L(a(x,y,z),u,w \ (a(v5,v6,v7) * v8)). (a(x,y,z) \ u) \ (z \ L(L(z,y,x),y,x)) = (a(x,y,z) * u) \ 1. (x / (a(y,z,u) * w)) * (u * (L(L(u,z,y),z,y) \ w)) = w * ((a(y,z,u) \ w) \ x). (L(x \ 1,y,z) * y) \ R(x \ 1,a(z,y,x) \ y,y * a(z,y,x)) = (a(z,y,x) \ y) \ 1. L(x \ L(x,y * a(z,u,w),a(z,u,w)),x,y) = a(x,y * a(z,u,w),a(z,u,w)). a(a(x,y,z) \ u,a(x,y,z),a(x,y,z) * w) = w \ ((a(x,y,z) \ u) \ (u * (a(x,y,z) \ w))). a(x,y,z \ ((u * (w \ (u \ w))) \ v5)) = a(x,y,z \ (a(u,u \ 1,w) * v5)). a(x,y,L(L(a(z,u,w) * u,z,w),v5,v6)) = a(x,y,L((w * z) \ (z * (u * w)),v5,v6)). a(a(x,y,z) \ ((u * (w * a(x,y,z))) / a(x,y,z)),v5,v6) = a(L(a(x,y,z),w,u) * (u * w),v5,v6). R(1 * a(x,a(y,z,u),w),x,(u * (y * z)) \ (y * (u * z))) = x \ L(x,a(u,z,y),w). L(1 * a(x,a(y,z,u * x),u * x),x,u) = a(x,u * x,a(u * x,z,y)). L(R(x,x,y) * z,x,a(x,x,y)) = x * (a(x,x,y) * z). a(x * (y * (L(1 / z,u,w) \ 1)),v5,v6) = a(x * (y * L(z,u,w)),v5,v6). L(x,(y * z) \ u,(y * z) \ u) = L(x,z \ (y \ u),z \ (y \ u)). L(x,y \ T((y / z) * u,u \ z),y \ T((y / z) * u,u \ z)) = L(x,L(u \ z,u,z \ y) \ 1,L(u \ z,u,z \ y) \ 1). L(x,(y * z) \ (a(u,z,y) * z),(z * y) \ (L(y,z,u) \ (z * y))) = L(x,L(y,z,u) \ 1,L(y,z,u) \ 1). (x * (L(y,z,x) \ y)) \ y = x \ L(y,z,x). 1 / (x \ (L(y,z,u) \ y)) = (y / x) \ L(y,z,u). a(L(x,y,z) \ u,x,x) = a(x \ u,x,x). a(x,y,z \ (L((u * w) \ 1,v5,v6) * v7)) = a(x,y,z \ (v7 * L(w * T(u,v8),v5,v6))). L(a(x \ 1,y,z),a(x,y,z),u) = a(x \ 1,y,z). L(L(a(x,y,z),u,w),a(x,y,z),v5) = L(a(x,y,z),u,w). L(a(x,y,z),u,w) \ a(x,y,z) = a(w,u,a(x,y,z)). (x * (L(x,y,z) \ a(u,w,x * L(x,y,z)))) \ 1 = (a(u,w,x * L(x,y,z)) \ 1) * (x \ L(x,y,z)). a(a(x,y,z),a(x,y,z),z * y) * (a(z,y,x) \ K(z * y,x)) = (z * y) \ (x \ (z * (y * x))). (((1 / x) \ y) / x) * L(x,z,u) = (1 / L(x,z,u)) \ y. L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,u,w),L(x,y,z) \ x,v5) = (L(x,y,z) \ x) * L(x \ L(x,y,z),u,w). ((x \ L(x,y,z)) \ u) * (L(x \ L(x,y,z),w,v5) \ (x \ L(x,y,z))) = (x \ L(x,y,z)) \ (a(v5,w,x * L(x,y,z)) * u). a(x,y,z * L(z,u,w)) * (L(z,u,w) \ z) = L(z \ L(z,u,w),y,x) \ 1. (x \ L(x,y,z)) * a(u,w,x * L(x,y,z)) = L(L(x,y,z) \ x,w,u) \ 1. a(x,y,L(((z \ ((u \ 1) * (u * z))) * w) \ v5,z \ ((u \ 1) * (u * z)),w)) = a(x,y,(u * (z / (u * z))) * (w \ v5)). a(x,y,L((z * (u / (z * u))) \ w,v5,v6)) = a(x,y,L((z * ((z * u) \ u)) * w,v5,v6)). (x * (y * a(z,u,w))) \ (x * y) = L(a(z,u,w),y,x) \ 1. L(a(x,y,z) * u,w,v5) \ (a(x,y,z) * u) = u \ (L(a(x,y,z) / u,w,v5) \ a(x,y,z)). a(x,y,z \ ((u \ (a(w,v5,u) \ v6)) \ v7)) = a(x,y,z \ (((u \ v6) * a(w,v5,u)) \ v7)). L(x,y,z \ ((u \ w) * L(u,w,v5))) = L(x,y,z \ (w * a(v5,w,u))). a(a(x,y,z),u,w) \ v5 = v5 * a(w,u,a(z,y,x)). a(x,y,z) \ (u * (w * a(x,y,z))) = a(x,y,z) * (u * (a(x,y,z) \ w)). L(L(x,y,z),y,z) * a(z,y,x) = a(z,y,x) \ x. L(x,a(y,z,u) \ w,v5) = L(x,a(y,z,u) * w,v5). a(x,y,z) \ (u \ (w * a(x,y,z))) = a(x,y,z) * (u \ (a(x,y,z) \ w)). 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). L(x,y,z) * (a(u,w,v5) \ x) = x * (a(u,w,v5) \ L(x,y,z)). L(x,y,z) * (((x * (L(x,y,z) \ (a(u,w,v5) \ 1))) \ 1) \ 1) = (((L(x,y,z) / (a(u,w,v5) \ x)) \ 1) \ 1) \ L(x,y,z). (a(x,y,z) \ u) * (w * w) = u * (a(x,y,z) \ (w * w)). L(x,y,a(z,u,w)) * (a(z,u,w) \ y) = a(z,u,w) \ (x * y). (x * (a(y,z,u) \ w)) \ ((a(y,z,u) \ x) * w) = a(x,a(y,z,u),w). (x * y) \ (a(z,u,w) * (x * (a(z,u,w) \ y))) = a(x,y * a(z,u,w),a(z,u,w)). (a(x,y,z) \ u) * L(w,u,a(x,y,z)) = a(x,y,z) \ (u * w). (x * (a(y,z,u) \ w)) \ (a(y,z,u) \ v5) = (x * (w * a(y,z,u))) \ (a(y,z,u) * v5). L(x \ (a(y,z,u) * w),x,a(y,z,u)) = (a(y,z,u) \ x) \ w. a(x,y,((z * a(u,w,v5)) * ((a(u,w,v5) \ z) \ v6)) * v7) = a(x,y,v6 * v7). (a(x,y,z) \ u) \ (w * (a(x,y,z) \ v5)) = (a(x,y,z) * u) \ (w * (a(x,y,z) * v5)). L(x,a(y,z,u),w) * (a(y,z,u) \ w) = (a(y,z,u) \ x) * w. (a(x,y,z) \ u) * L(w,a(x,y,z),u) = u * (a(x,y,z) \ w). a(x,y,z) \ ((a(x,y,z) \ u) \ w) = a(x,y,z) * ((u * a(x,y,z)) \ w). L(x,y \ (a(z,u,w) \ v5),v6) = L(x,y \ (a(z,u,w) * v5),v6). a(x,y,z) \ (u \ (a(x,y,z) * w)) = a(x,y,z) * (u \ (a(x,y,z) \ w)). x \ L(x,L(x,y,z),u) = L(x \ L(x,x,u),y,z). x * L(R(y,z,z) \ y,u,w) = a(y,z,L(z,u,w)) \ x. a(x,y,z) \ (a(u,w,v5) * a(u,w,v5)) = (a(x,y,z) \ a(u,w,v5)) * a(u,w,v5). a(x,y,z) \ (a(u,w,v5) * a(u,w,v5)) = a(u,w,v5) * (a(x,y,z) \ a(u,w,v5)). (a(x,y,L(z,u,w)) * a(x,y,L(z,u,w))) * (a(v5,v6,v7) \ v8) = v8 * (a(v5,v6,v7) \ (a(x,y,z) * a(x,y,z))). x \ (y \ (x * (a(z,u,w) \ T(y,x)))) = L(L(a(z,u,w),x,y) \ 1,y,x). a(x,y,z) \ (u \ ((w * a(x,y,z)) * v5)) = a(x,y,z) * (u \ ((a(x,y,z) \ w) * v5)). (a(x,y,z) \ u) \ (a(x,y,z) \ w) = (a(x,y,z) * u) \ (w * a(x,y,z)). (a(x,y,z) \ u) * (w * a(x,y,z)) = (u * a(x,y,z)) * (a(x,y,z) \ w). a(x \ 1,x,L(y,L(y,z,u),L(y,z,u))) \ y = L(y,x,x \ (y \ L(y,z,u))). (x * a(y,z,u)) * a(y,z,u) = u * (L(L(u,z,y),z,y) \ x). x \ ((a(y,z,u) \ x) * (w * a(y,z,u))) = L(w,a(y,z,u),a(y,z,u) * x). a(x,y,z) * ((z \ u) * a(x,y,z)) = L(L(z,y,x),y,x) \ u. a(x,y,z) \ (L(L(z,y,x),y,x) \ u) = (z \ u) * a(x,y,z). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = (a(u,w,v5) * (x \ (y * a(u,w,v5)))) \ (x \ (v5 * (L(L(v5,w,u),w,u) \ y))). a(x \ y,x,x) \ (z * (1 / (y \ (y / x)))) = L(z,x,a(x,x,x \ y)) * x. L(a(x,y,z),u,u \ (a(w,v5,v6) * v7)) * (a(w,v5,v6) \ v7) = ((v7 / a(w,v5,v6)) / u) * (u * a(x,y,z)). a(a(x,y,z) * u,a(x,y,z),a(x,y,z) * w) = ((a(x,y,z) \ w) \ (w * (a(x,y,z) \ u))) \ u. L(a(x,y,z) * u,a(x,y,z),w) = (a(x,y,z) \ w) \ (w * u). L(a(x,y,z) * (u \ w),a(x,y,z),u) = (a(x,y,z) \ u) \ w. a(a(x,y,z) * u,a(x,y,z),a(x,y,z) * w) = w \ ((a(x,y,z) \ u) \ (u * (a(x,y,z) \ w))). a(a(x,y,z) \ (a(x,y,z) \ (u * (w * a(x,y,z)))),v5,v6) = a(L(a(x,y,z),w,u) * (u * w),v5,v6). R(a(x,a(y,z,u),w),x,(u * (y * z)) \ (y * (u * z))) = x \ L(x,a(u,z,y),w). L(1 * a(x,y * x,a(z,u,y * x)),x,y) = a(x,y * x,a(y * x,u,z)). (L(a(x,y,z),u,w) \ a(x,y,z)) * v5 = v5 * a(w,u,a(x,y,z)). x \ (L(a(y,z,u),w,v5) \ a(y,z,u)) = x \ a(v5,w,a(y,z,u)). a(x,x,y) \ a(x,x,L(y,z,u)) = a(u,z,a(x,x,y)). a(x,y,a(z,u,w)) \ a(z,u,w) = L(a(z,u,w),y,x). x \ (a(y,z,u) * (L(a(y,z,u),w,v5) \ x)) = L(a(v5,w,a(y,z,u)),a(y,z,u),x). a(x * (y * (z * (L(z,u,w) \ z))),v5,v6) = a(x * (y * L(z,u,w)),v5,v6). L(x,L(y \ z,y,u),(u * y) \ (u * z)) = L(x,y \ (u \ (u * z)),y \ (u \ (u * z))). L(x,y \ (z \ ((z * u) * T(y,u))),y \ (z \ ((z * u) * T(y,u)))) = L(x,L(u * a(z,u,y),y,z),(z * y) \ ((z * u) * T(y,u))). L(x,L(y \ z,y,z \ u) \ 1,L(y \ z,y,z \ u) \ 1) = L(x,u \ T((u / z) * y,y \ z),u \ ((u / z) * y)). L(x,(y * z) \ (a(u,z,y) * z),(z * y) \ T(a(u,z,y) * z,y)) = L(x,L(y,z,u) \ 1,L(y,z,u) \ 1). ((x / y) \ L(x,z,u)) \ 1 = y \ (L(x,z,u) \ x). a(x,y,((z / u) \ L(z,w,v5)) \ v6) = a(x,y,(u \ (L(z,w,v5) \ z)) \ v6). a(x \ y,x,x) \ x = (y / L(x,z,u)) * ((y * (L(x,z,u) \ 1)) \ x). a(x,y,z \ (u * L(w * T(v5,v6),v7,v8))) = a(x,y,z \ (L(v5 * w,v7,v8) * u)). (x * (L(x,y,z) \ a(u,w,x * L(x,y,z)))) \ 1 = a(u,w,x * L(x,y,z)) \ (x \ L(x,y,z)). a(x,y,L(((z * (u / (z * u))) \ w) \ v5,u \ ((z \ 1) * (z * u)),w)) = a(x,y,(z * (u / (z * u))) * (w \ v5)). L(a(x,y,z) \ 1,u * a(x,y,z),w) = L(a(x,y,z),u,w) \ 1. 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(x,y,z) * (u * (a(x,y,z) \ w))) = u * (w * a(x,y,z)). (a(x,y,z) * ((u / w) * (a(x,y,z) \ w))) \ u = a(w \ u,w,a(x,y,z)). (x * y) \ (a(z,u,w) * (x * (a(z,u,w) \ y))) = a(a(z,u,w),y,x). L(L(x,y,z),a(z,y,x),y) = a(z,y,x) \ x. L(x,a(y,z,u) \ w,v5) = L(x,w * a(y,z,u),v5). L(x,y,z) * (((x * (L(x,y,z) \ (a(u,w,v5) \ 1))) \ 1) \ 1) = ((((x / a(u,w,v5)) \ L(x,y,z)) \ 1) \ 1) \ L(x,y,z). x \ ((a(y,z,u) \ w) \ (w * (a(y,z,u) \ x))) = a(x,a(y,z,u),w). (a(x,y,z) \ u) * L(w,u,a(z,y,x)) = a(x,y,z) \ (u * w). (x * (a(y,z,u) \ w)) \ (a(y,z,u) \ ((v5 * (v6 * a(y,z,u))) / a(y,z,u))) = (x * (w * a(y,z,u))) \ (L(a(y,z,u),v6,v5) * (v5 * v6)). L(x \ (a(y,z,u) * w),x,a(y,z,u)) = (x * (a(y,z,u) \ 1)) \ w. a(x,y,((a(z,u,w) \ v5) * v6) * v7) = a(x,y,((v5 * a(z,u,w)) * v6) * v7). (a(x,y,z) \ u) * L(a(x,y,z),w,v5) = u * (a(x,y,z) \ L(a(x,y,z),w,v5)). L(x,y \ (a(z,u,w) \ v5),v6) = L(x,y \ (v5 * a(z,u,w)),v6). a(x,x \ (L(R(y,z,z) \ y,u,w) \ v5),L(R(y,z,z) \ y,u,w)) = v5 / (x * (a(y,z,L(z,u,w)) \ (x \ (v5 / L(R(y,z,z) \ y,u,w))))). (a(x,y,L(z,u,w)) * a(x,y,L(z,u,w))) * (a(v5,v6,v7) \ v8) = v8 * (a(x,y,z) * (a(v5,v6,v7) \ a(x,y,z))). a(x,y,z) \ (u * (a(w,a(x,y,z),u) * a(x,y,z))) = a(x,y,z) * (w \ ((a(x,y,z) \ w) * u)). a(x \ 1,x,L(y,L(y,z,u),y)) \ y = L(y,x,x \ (y \ L(y,z,u))). x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = L(w,a(y,z,u),a(y,z,u) * x). a(x,y,z) \ ((L(L(z,y,x),y,x) \ 1) * L(z,y,x)) = (z \ (1 / (1 / L(z,y,x)))) * a(x,y,z). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = (a(u,w,v5) * (x \ (y * a(u,w,v5)))) \ ((x \ y) * (a(u,w,v5) * a(u,w,v5))). a(a(x,y,z) * u,a(x,y,z),a(x,y,z) * w) = ((a(x,y,z) * w) \ (w * (a(x,y,z) * u))) \ u. a(a(x,y,z) \ (a(x,y,z) * (u * (a(x,y,z) \ w))),v5,v6) = a(L(a(x,y,z),w,u) * (u * w),v5,v6). L(a(x,a(y,z,u),w),x,a(u,z,y)) = x \ L(x,a(u,z,y),w). a(x,y,((z * (u \ (z \ u))) \ w) * v5) = a(x,y,(w * a(u,z,z)) * v5). a(x,y,z * ((u \ (w \ (u \ w))) \ v5)) = a(x,y,(v5 * a(w,u,u)) * z). T(x * a(y,x,x),x * y) = 1 / (y \ (x \ y)). T(x * a((y \ ((y * x) * z)) / z,x,x),x * ((y \ ((y * x) * z)) / z)) = 1 / (((y \ ((y * x) * z)) / z) \ a(y,x,z)). T(x * a(y \ (z \ ((z * x) * y)),x,x),x * ((z \ ((z * x) * y)) / y)) = 1 / (((z \ ((z * x) * y)) / y) \ a(z,x,y)). a(x,y,z) * a(a(x,y,z),u,w) = L(a(x,y,z),u,w). a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w). a(a(x,y,z),a(x,y,z),u) * (a(w,v5,v6) \ K(w * v5,v6)) = (w * v5) \ (v6 \ (w * (v5 * v6))). L(x,y,z) * ((1 / x) \ u) = x * ((1 / L(x,y,z)) \ u). a(a(x,x \ y,z * (L(z,u,w) \ z)) * ((x \ y) * L(z,u,w)),v5,v6) = a(x \ (y * (z * (L(z,u,w) \ z))),v5,v6). L(x,L(y \ z,y,u),L(y \ z,y,u)) = L(x,y \ (u \ (u * z)),y \ (u \ (u * z))). L(x,y \ (z \ ((z * u) * T(y,u))),y \ (z \ ((z * u) * T(y,u)))) = L(x,L(u * a(z,u,y),y,z),L(u * a(z,u,y),y,z)). L(x,L(y \ z,y,z \ u) \ 1,L(y \ z,y,z \ u) \ 1) = L(x,u \ T((u / z) * y,y \ z),u \ ((z \ u) * y)). L(x,(y * z) \ (a(u,z,y) * z),(y * z) \ (a(u,z,y) * z)) = L(x,L(y,z,u) \ 1,L(y,z,u) \ 1). a(x,y,((z \ u) \ L(u,w,v5)) \ v6) = a(x,y,(z \ (L(u,w,v5) \ u)) \ v6). (x / L(y,z,u)) * ((x * (L(y,z,u) \ 1)) \ y) = L(y,y,y \ x). (x * y) \ (z \ (x * (y * z))) = a(x,y,z) \ K(x * y,z). a(x,y,L(((z * (u / (z * u))) \ w) \ v5,u \ L(u,z,z),w)) = a(x,y,(z * (u / (z * u))) * (w \ v5)). x \ (L(a(y,z,z) / x,z,y) \ a(y,z,z)) = L(x,z,y) \ x. 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(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w)))) \ u = a((z \ w) \ u,z \ w,a(x,y,z)). (a(x,y,z) * ((u / (w * z)) * ((a(x,y,z) \ w) * z))) \ u = a((w * z) \ u,w * z,a(x,y,z)). L(L((x \ y) \ y,z,u),a(u,z,x),z) = a(u,z,(x \ y) \ y) \ ((x \ y) \ y). L(L(x,y,z) \ 1,a(z,y,x),y) * L(x,y,z) = (L(x,y,z) \ 1) * (a(z,y,x) \ x). L((L(x,y,z) \ 1) \ 1,a(z,y,x),y) \ L(x,y,z) = ((a(z,y,x) \ x) \ 1) * L(x,y,z). a(x,y,z) \ (L(L(z,y,x),a(x,y,z),y) \ u) = (a(x,y,z) \ z) \ (a(x,y,z) \ u). L(x,y,z) * (((x * (L(x,y,z) \ (a(u,w,v5) \ 1))) \ 1) \ 1) = ((((a(u,w,v5) \ x) \ L(x,y,z)) \ 1) \ 1) \ L(x,y,z). (x * (a(y,z,u) \ w)) \ (a(y,z,u) \ (a(y,z,u) \ (v5 * (v6 * a(y,z,u))))) = (x * (w * a(y,z,u))) \ (L(a(y,z,u),v6,v5) * (v5 * v6)). L((a(x,y,z) * u) * a(w,a(v5,v6,v7),v8),a(v8,a(v7,v6,v5),w),a(x,y,z)) = (a(v8,a(v7,v6,v5),w) * (a(x,y,z) \ 1)) \ u. a(x,y,(((z * u) \ (a(z,u,u) \ w)) * v5) * v6) = a(x,y,((((z * u) \ w) * a(z,u,u)) * v5) * v6). a(a(x,y,z) * u,a(x,y,z),a(x,y,z) * w) = a(w,a(x,y,z),u). x \ ((a(y,z,u) * w) \ (w * (a(y,z,u) * x))) = a(x,a(y,z,u),w). a(x,y,z) * (u \ ((a(x,y,z) \ u) * w)) = a(x,y,z) * (w * (a(x,y,z) \ a(u,a(x,y,z),w))). L(x,y,y \ (x \ L(x,z,u))) = a(y \ 1,y,x) \ x. (x \ (1 / (1 / L(x,y,z)))) * a(z,y,x) = a(z,y,x) \ ((L(x,y,z) \ 1) * x). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = ((a(u,w,v5) * (x \ (y * a(u,w,v5)))) \ (x \ y)) * (a(u,w,v5) * a(u,w,v5)). a(a(x,y,z) * u,a(x,y,z),a(x,y,z) * w) = L(K(w,a(x,y,z)) * u,a(x,y,z),w) \ u. a(L(a(x,y,z),u,w) * (w * u),v5,v6) = a(w * (a(x,y,z) \ u),v5,v6). ((x / y) * (y * a(z,u,w))) / x = a(z,u,w) * a(a(z,u,w),y,y \ x). L(a(x,y,z),u,L(w * v5,v5 * w,L(v5,v5,w))) = a(x,y,z) * a(a(x,y,z),u,L(v5 \ w,w,w)). a(x,y,a(z,u,y)) * a(a(y,a(z,u,y),x),w,v5) = L(a(x,y,a(z,u,y)),w,v5). ((x \ L(x,y,z)) \ u) * (L(x \ L(x,y,z),w,v5) \ (x \ L(x,y,z))) = (a(v5,w,x * L(x,y,z)) * u) * (L(x,y,z) \ x). a(a(x,x \ y,z * (z * L(z,u,w))) * ((x \ y) * L(z,u,w)),v5,v6) = a(x \ (y * (z * (L(z,u,w) \ z))),v5,v6). L(x,y \ (y \ (y * z)),y \ (y \ (y * z))) = L(x,L(y \ z,y,y),z * (y \ 1)). L(x,y \ (z \ ((z * u) * T(y,u))),y \ (z \ ((z * u) * T(y,u)))) = L(x,L(u * a(z,u,y),y,z),L(u,z,y)). L(x,L(y \ z,y,z \ u) \ 1,L(y \ z,y,z \ u) \ 1) = L(x,u \ ((u / z) * y),u \ ((z \ u) * y)). L(x,x,L(x,y,z) \ u) = L(x,x,x \ u). L(L((x \ y) \ y,z,u),a(u,z,x),z) = a(u,z,x) \ ((x \ y) \ y). (L(x,y,z) \ 1) * (a(z,y,x) \ x) = (x \ a(z,y,x)) * L(x,y,z). L(L((x \ 1) \ 1,y,z),a(z,y,x),y) \ L(x,y,z) = ((a(z,y,x) \ x) \ 1) * L(x,y,z). a(x,y,z) \ (L(L(z,y,x),a(x,y,z),y) \ u) = (a(x,y,z) * z) \ (u * a(x,y,z)). (x * L(x \ ((y * (z * x)) / (y * z)),u,w)) * (y * z) = x * ((y * z) * L(a(y,z,x) \ K(y * z,x),u,w)). a(x,y,L(((z * (u / (z * u))) \ w) \ v5,a(u,z,z),w)) = a(x,y,(z * (u / (z * u))) * (w \ v5)). a(x,a(y,z,u) * w,a(y,z,u)) = a(a(y,z,u),w,x). a(a(x,y,z),a(x,y,z) * u,w) = a(w,u,a(x,y,z)). a(a(x,y,z),u * a(x,y,z),w) = a(w,u,a(x,y,z)). L(x,y,z) * (((x * (L(x,y,z) \ (a(u,w,v5) \ 1))) \ 1) \ 1) = (((a(u,w,v5) * (x \ L(x,y,z))) \ 1) \ 1) \ L(x,y,z). (x * (a(y,z,u) \ w)) \ (a(y,z,u) \ (a(y,z,u) * (v5 * (a(y,z,u) \ v6)))) = (x * (w * a(y,z,u))) \ (L(a(y,z,u),v6,v5) * (v5 * v6)). a(x,y,((T(z / (u \ 1),u) \ (a(u \ z,u * u,u * u) \ w)) * v5) * v6) = a(x,y,(((((u \ z) * (u * u)) \ w) * a(u \ z,u * u,u * u)) * v5) * v6). x \ L(K(y,a(z,u,w)) * x,a(z,u,w),y) = a(x,a(z,u,w),y). x \ R(x,a(y,z,u),w) = a(x,a(y,z,u),w). L(L(a(x,y,z),u,w),v5,v6) \ (a(x,y,z) * ((a(x,y,z) \ L(L(a(x,y,z),u,w),v5,v6)) * v7)) = a(x,y,z) * (v7 * (a(x,y,z) \ a(L(L(a(x,y,z),u,w),v5,v6),a(x,y,z),v7))). L(x,y,y \ (x \ L(x,z,u))) = L(x,y,y \ 1). a(a(x,y,z) * u,a(x,y,z),a(x,y,z) * w) = L(u,a(x,y,z),w) \ u. a(x * (a(y,z,u) \ w),v5,v6) = a(x * (w * a(y,z,u)),v5,v6). a(a(x,x \ y,L(z * (z * z),u,w)) * ((x \ y) * L(z,u,w)),v5,v6) = a(x \ (y * (z * (L(z,u,w) \ z))),v5,v6). L(x,y \ (y \ (y * z)),y \ (y \ (y * z))) = L(x,(y \ 1) * z,z * (y \ 1)). L(x,y \ (z \ ((z * u) * T(y,u))),y \ (z \ ((z * u) * T(y,u)))) = L(x,L(u,z,y),L(u,z,y)). L(x,L(y \ z,y,z \ u) \ 1,L(y \ z,y,z \ u) \ 1) = L(x,u \ ((z \ u) * y),u \ ((z \ u) * y)). (a(x,y,z) \ ((z \ 1) \ 1)) \ L(z,y,x) = ((a(x,y,z) \ z) \ 1) * L(z,y,x). a(x,y,z) \ (L(L(z,y,x),a(x,y,z),y) \ u) = L(z \ u,z,a(x,y,z)). (x * L(T(x,y * z) \ L(x,z,y),u,w)) * (y * z) = x * ((y * z) * L(a(y,z,x) \ K(y * z,x),u,w)). (x \ (1 / (1 / L(x,y,z)))) * a(z,y,x) = (a(z,y,x) \ (L(x,y,z) \ 1)) * x. a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = (a(u,w,v5) \ (x \ (y * a(u,w,v5)))) \ (x \ y). L(a(x,y,z),u,L(w * v5,v5 * w,L(v5,v5,w))) = L(a(x,y,z),u,L(v5 \ w,w,w)). L(x,y,z) * (((x * (L(x,y,z) \ (a(u,w,v5) \ 1))) \ 1) \ 1) = (((a(u,w,v5) \ 1) \ 1) * (x \ L(x,y,z))) \ L(x,y,z). (x * (y * a(z,u,w))) \ (L(a(z,u,w),v5,v6) * (v6 * v5)) = (x * (a(z,u,w) \ y)) \ (v6 * (a(z,u,w) \ v5)). a(x,y,(((((z \ u) * (z * z)) \ w) * a(z \ u,z * z,z * z)) * v5) * v6) = a(x,y,((T(u / (z \ 1),z) \ (1 \ w)) * v5) * v6). x \ L(x,a(y,z,u),w) = a(x,a(y,z,u),w). a(x,a(y,z,u),w) * x = R(x,a(y,z,u),w). a(x,y,z) * (u * (a(x,y,z) \ a(L(L(a(x,y,z),w,v5),v6,v7),a(x,y,z),u))) = L(u,a(x,y,z) \ L(L(a(x,y,z),w,v5),v6,v7),a(x,y,z)). L(a(x,y,z),u,u \ (a(x,y,z) \ L(a(x,y,z),w,v5))) = L(a(x,y,z),u,u). L(x,a(y,z,u),w) \ x = a(w,a(y,z,u),x). a(x \ (y * (z * (L(z,u,w) \ z))),v5,v6) = a(a(x,x \ y,L(z,u,w)) * ((x \ y) * L(z,u,w)),v5,v6). L(x,y \ z,y \ (y \ (y * z))) = L(x,(y \ 1) * z,z * (y \ 1)). L(x,y \ (z \ ((z * u) * T(y,u))),y \ (z \ ((z * u) * T(y,u)))) = L(x,u,u). L(x,L(y \ z,y,z \ u) \ 1,L((y \ z) \ 1,y,z \ u)) = L(x,u \ ((z \ u) * y),u \ ((z \ u) * y)). ((x \ 1) \ (a(y,z,x) \ 1)) \ L(x,z,y) = ((a(y,z,x) \ x) \ 1) * L(x,z,y). a(x,y,z) \ ((a(x,y,z) \ z) \ u) = L(z \ u,z,a(x,y,z)). x * ((y * z) * L(a(y,z,x) \ K(y * z,x),u,w)) = (y * z) * (x * L(x \ L(x,z,y),u,w)). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = (a(u,w,v5) * (x \ (a(u,w,v5) \ y))) \ (x \ y). L(x,y,z) * (((x * (L(x,y,z) \ (a(u,w,v5) \ 1))) \ 1) \ 1) = (a(u,w,v5) * (x \ L(x,y,z))) \ L(x,y,z). (x * (a(y,z,u) \ w)) \ (v5 * (a(y,z,u) \ v6)) = (x * (w * a(y,z,u))) \ (v5 * (v6 * a(y,z,u))). a(x,y,(((((z \ u) * (z * z)) \ w) * a(z \ u,z * z,z * z)) * v5) * v6) = a(x,y,((T(u / (z \ 1),z) \ w) * v5) * v6). x * a(x,a(y,z,u),w) = L(x,a(y,z,u),w). L(x \ L(x,a(y,z,u),w),v5,v6) = a(L(x,v5,v6),a(y,z,u),w). x \ (y * L(y \ x,a(z,u,w),v5)) = a(x \ y,a(z,u,w),v5). x * (L(x,y,z) \ a(x,a(u,w,v5),v6)) = L(x,y,z) \ L(x,a(u,w,v5),v6). a(x,y,z * L(z,a(u,w,v5),v6)) = a(x,y,a(z,a(u,w,v5),v6)). x \ L(x,a(y,z,y * z),u) = a(x,a(y,z,z \ y),u). (L(x,x,a(y,z,u)) \ (((1 / x) \ a(y,z,u)) * w)) / w = a(y,z,u) * a(x,a(y,z,u),w). a(x,y,z) * (u * (a(x,y,z) \ a(L(L(a(x,y,z),w,v5),v6,v7),a(x,y,z),u))) = L(u,a(x,y,z) * L(L(a(x,y,z),w,v5),v6,v7),a(x,y,z)). L(L(x,y,z),a(x,u,w),v5) \ L(x,y,z) = a(v5,L(x,y,z),a(x,u,w)). L(x,a(y,z,u),w) * a(w,a(u,z,y),x) = x. a(x,a(y,z,u),w) \ w = L(w,a(y,z,u),x). L(x,a(y,a(z,u,w),x),a(z,u,w)) = x. x * (L(x,a(y,z,u),w) \ L(x,v5,v6)) = a(w,a(y,z,u),x) * L(x,v5,v6). L(x,y,a(z,u,w)) \ (x * a(y,x,a(z,u,w))) = a(y,a(z,u,w),x * a(y,x,a(z,u,w))). a(x \ (y * (z * (L(z,u,w) \ z))),v5,v6) = a(x \ (y * L(z,u,w)),v5,v6). L(x,(y \ 1) * z,z * (y \ 1)) = L(x,y \ z,y \ z). L(x,y * a(z,y,u),u \ (z \ ((z * y) * T(u,y)))) = L(x,y,y). L(x,L((y \ z) \ 1,y,z \ u),L((y \ z) \ 1,y,z \ u)) = L(x,u \ ((z \ u) * y),u \ ((z \ u) * y)). ((x \ a(y,z,x)) \ 1) \ L(x,z,y) = ((a(y,z,x) \ x) \ 1) * L(x,z,y). a(x,y,z) * ((z * a(x,y,z)) \ u) = L(z \ u,z,a(x,y,z)). L(x,y,z) * (((L(x,y,z) \ (a(u,w,v5) \ x)) \ 1) \ 1) = (a(u,w,v5) * (x \ L(x,y,z))) \ L(x,y,z). a(x,y,(((((z \ u) * (z * z)) \ w) * a(z \ u,z * z,z * z)) * v5) * v6) = a(x,y,(((u / (z \ 1)) \ w) * v5) * v6). a(x \ y,a(y,x,y * x),z) = a(x \ y,a(y,x,x),z). L(a(x,a(y,z,u),w),v5,v6) = a(L(x,v5,v6),a(y,z,u),w). a(x,a(y,z,z \ y),u) = x \ L(x,a(y,z,z),u). a(x \ L(x,y,z),a(u,w,v5),v6) \ v6 = L(v6,a(u,w,v5),x * L(x,y,z)). (a(x,y,z) * (a(u,a(x,y,z),w) * w)) / w = a(x,y,z) * a(u,a(x,y,z),w). x * (L(x,y,a(z,u,w)) \ a(y,x,a(z,u,w))) = a(y,a(z,u,w),x * a(y,x,a(z,u,w))). a(x \ (y * (L(z \ 1,u,w) \ 1)),v5,v6) = a(x \ (y * L(z,u,w)),v5,v6). L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,y \ z). L(x,((y \ 1) \ 1) * z,z * y) = L(x,(y \ 1) \ z,(y \ 1) \ z). L(x,y * a(z,y,u),y * a(z,y,u)) = L(x,y,y). L(x,y \ ((z \ y) * u),y \ ((z \ y) * u)) = L(x,(u \ z) \ 1,(u \ z) \ 1). ((x \ a(y,z,x)) \ 1) \ L(x,z,y) = (x \ a(y,z,x)) * L(x,z,y). a(x,y,z) * ((z * a(x,y,z)) \ (z * u)) = L(u,z,a(x,y,z)). (a(x,y,z) * (u \ L(u,w,v5))) \ L(u,w,v5) = L(u,w,v5) * (L(u,w,v5) \ (a(x,y,z) \ u)). a(x,y,(((((z \ u) * (z * z)) \ w) * a(z \ u,z * z,z * z)) * v5) * v6) = a(x,y,((((z \ 1) \ u) \ w) * v5) * v6). a(x \ y,a(y,x,x \ y),z) = a(x \ y,a(y,x,x),z). a(x,a(y,z,z \ y),u) = a(x,a(y,z,z),u). x \ (a(y,z,u) * (x * a(w,a(y,z,u),x))) = a(y,z,u) * a(w,a(y,z,u),x). x * (L(x,y,a(z,u,w)) \ a(y,x,a(z,u,w))) = a(y,a(z,u,w),L(x,y,a(z,u,w))). x \ ((x * a(y,z,u)) * w) = a(y,z,u) * (w * a(x,a(y,z,u),w)). a(x \ ((y \ z) * L(y,u,w)),v5,v6) = a(x \ (y * (L(y,u,w) \ z)),v5,v6). a(x,L(((y \ 1) * z) \ u,y \ z,y \ z),a(w,v5,v6)) = a(x,((y \ 1) * z) * u,a(w,v5,v6)). L(x,(y \ 1) \ z,(y \ 1) \ z) = L(x,y * z,z * y). a(x,y,(L(z * a(u,z,w),z,z) \ v5) * v6) = a(x,y,((z * a(u,z,w)) \ v5) * v6). L(x,y \ ((z \ y) * u),y \ ((z \ y) * u)) = L(x,z \ u,z \ u). a(x,y,z) * (z * ((a(x,y,z) * z) \ u)) = L(u,z,a(x,y,z)). (a(x,y,z) * (u \ L(u,w,v5))) \ L(u,w,v5) = a(x,y,z) \ u. a(x,y,(((((z \ u) * (z * z)) \ w) * 1) * v5) * v6) = a(x,y,((((z \ 1) \ u) \ w) * v5) * v6). a(x,y \ z,a(z,y,y)) \ 1 = a(y \ z,a(z,y,y),x). a(x \ y,(x \ y) \ ((1 / x) * y),z) = a(x \ y,a(y,x,x),z). a(a(x,y,y),y \ x,z) = a(y \ x,a(x,y,y),z). (x * (((y \ z) / z) * y)) \ ((x / (y \ z)) * (y \ ((1 / y) \ (y \ z)))) = a(y \ z,a(z,y,y),x). (x * (((y \ z) / z) * y)) \ ((y \ z) * (L(y \ z,y,y \ 1) \ x)) = a(y \ z,a(z,y,y),x). (x * (((y \ z) / z) * y)) \ ((y \ z) * (((1 / y) * z) \ x)) = a(y \ z,a(z,y,y),x). a(x,a(y,z,y * z),u) = a(x,a(y,z,z),u). (a(x,y,z) \ u) \ (u * w) = a(x,y,z) * (w * a(a(x,y,z) \ u,a(x,y,z),w)). (x \ a(x,y,z)) \ L(x,u,w) = L(x,u,w) * (a(x,y,z) \ x). a(x,y,((((z \ u) * (z * z)) \ w) * v5) * v6) = a(x,y,((((z \ 1) \ u) \ w) * v5) * v6). (a(x,y,z) \ u) \ (u * w) = a(x,y,z) * (w * a(a(x,y,z) * u,a(x,y,z),w)). (x \ a(x,y,z)) \ L(x,u,w) = x * (a(x,y,z) \ L(x,u,w)). a(x,y,((((z \ 1) \ u) \ w) * v5) * v6) = a(x,y,v6 * (v5 * ((z \ u) \ w))). a(x,y,z * ((((u \ 1) \ w) \ v5) * v6)) = a(x,y,z * (v6 * ((u \ w) \ v5))). a(x,y,R(z,z,(((u \ 1) \ w) \ v5) * v6) * (v6 * ((u \ w) \ v5))) = a(x,y,z \ ((((u \ 1) \ w) \ v5) * v6)). a(x,y,R(z,z,u * ((w \ v5) \ v6)) * (u * ((w \ v5) \ v6))) = a(x,y,z \ ((((w \ 1) \ v5) \ v6) * u)). a(x,y,z \ ((((u \ 1) \ w) \ v5) * v6)) = a(x,y,z \ (v6 * ((u \ w) \ v5))). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = K(z,K(y,x * (z * y))) / (K(z,y) * a(x,z,y)). ((x / T(y,z)) * L(T((x / y) \ z,K(y,z)),u,w)) \ T(z,y) = (x / T(y,z)) \ (L(z / (x / y),u,w) \ T(z,y)). T((x * (L(x,y,y) \ z)) \ (a(y,y,x) * z),K(u,w)) = a(z / L(x * K(u,w),y,y),L(x,y,y),a(y,y,x)). x / T(x,y * K(z,u)) = K(y * K(u,z),x). T(x,y * T(z,u * w)) = T(x,y * T(z,w * u)). T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = (T(z * x,K(x,y)) * (x \ 1)) \ ((1 / (1 / T(x,y))) * T(z,x)). a(x,y,(z * ((u * (K(w,v5) * v6)) * v7)) * v8) = a(x,y,(z * ((u * v6) * v7)) * v8). T((x * (L(x,y,y) \ z)) \ (a(y,y,x) * z),K(u,w)) = a(L(x * K(u,w),y,y) \ z,L(x,y,y),a(y,y,x)). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = T((z * x) * (x \ 1),K(x,y)) \ ((1 / (1 / T(x,y))) * T(z,x)). ((x / y) * L(((x / y) \ z) * K(z,y),u,w)) \ T(z,y) = (x / T(y,z)) \ (L(z / (x / y),u,w) \ T(z,y)). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = T(R(z,x,x),K(x,y)) \ ((1 / (1 / T(x,y))) * T(z,x)). T(x,K(y,z)) \ T(u,K(y,z)) = T(x \ u,K(y,z)). K(x,y) * (z \ (u * (y * x))) = T(z \ (u * (x * y)),K(x,y)). T(a(x \ 1,x,y) * (z * L(y,x,x \ 1)),K(y,z)) = L(z,R(y,x,x),a(x \ 1,x,y)) * y. (T(x,y) \ R(z,u \ 1,u)) * T(x,y) = (z * (K(x \ z,T(x,y)) / u)) * u. L(R(x * K(y,z),u,w) \ L(R(x * K(y,z),u,w),v5,v6),R(x * K(y,z),u,w),v7) \ v7 = R(x,u,w) * (K(y,z) * (L(R(x * K(y,z),u,w),v5,v6) \ v7)). L(x,y,R(z,u,w) * (K(v5,v6) * v7)) = L(x,y,v7 * R(z * K(v5,v6),u,w)). a(R(x,y,z) * (K(y,x) * u),w,v5) = a(((y * z) \ ((y * x) * z)) * u,w,v5). L(x,((y * z) \ ((u * z) * y)) \ w,v5) = L(x,K(y,z) * (R(u,z,y) \ w),v5). R(x,(y * z) \ ((y * u) * z),w) = R(x,R(u,y,z),w). a(x,y * R(z * K(u,w),v5,v6),v7) = a(x,R(z,v5,v6) * y,v7). a(x,y * ((z * u) \ ((z * w) * u)),v5) = a(x,y * R(w,z,u),v5). (x / T(y,z)) \ (L(z / (x / y),u,w) \ T(z,y)) = ((x / y) * L((x / y) \ T(z,y),u,w)) \ T(z,y). K(x,K(y,z) * u) = K(x,K(z,y) * u). T(x,T(y,z) \ z) = T(x,z / y). T(x,T(y,z) \ (z \ u)) = T(x,y \ (T(z,y) \ u)). T(x,((y * z) / y) \ u) = T(x,T(z,y) \ u). T(x,T(y,z) * z) = T(x,z * y). T(x,T(y \ z,y) * u) = T(x,(z / y) * u). T((x * L(a(y,z,u) \ 1,w,v5)) \ (L(a(y,z,u) \ 1,w,v5) * (x * v6)),K(x,v6)) = L(a(L(a(y,z,u) \ 1,w,v5),v6,x) \ v6,L(a(y,z,u) \ 1,w,v5),x). (T(x,y) \ R(z,x \ 1,x)) * T(x,y) = T(z * (1 / x),T(x,y)) * x. L((R(x * K(y,z),u,w) \ L(R(x,u,w),v5,v6)) * K(y,z),R(x * K(y,z),u,w),v7) \ v7 = R(x,u,w) * (K(y,z) * (L(R(x * K(y,z),u,w),v5,v6) \ v7)). L(x,y,z * R(u * K(w,v5),v6,v7)) = L(x,y,R(u,v6,v7) * z). a(((x * y) \ ((x * z) * y)) * u,w,v5) = a(R(z,x,y) * u,w,v5). T(x,y / (y * z)) = T(x,y \ (z \ y)). K(T(x,y) * y,z) = z / T(z,y * x). L(x,((y * z) \ ((u * z) * y)) \ w,v5) = L(x,R(u,z,y) \ w,v5). R(x,R(y,z,u),w) = R(x,L(y,z,u),w). a(x,y * ((z * u) \ ((z * w) * u)),v5) = a(x,R(w,z,u) * y,v5). K(K(x,y) * z,u) = K(z * K(y,x),u). K(x,(y \ L(y,z,u)) \ y) * (R(y,w,v5) \ T(L(y \ L(y,z,u),w,v5) \ y,T(x,R(y,w,v5)))) = L(R(y,w,v5),z,u) \ y. K(x / (y \ z),T(u,y)) = K((y * x) / z,u). L((K(x,y) * (R(z,u,w) \ L(R(z,u,w),v5,v6))) * K(y,x),R(z * K(y,x),u,w),v7) \ v7 = R(z,u,w) * (K(y,x) * (L(R(z * K(y,x),u,w),v5,v6) \ v7)). L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5). a(R(x,y,z) * u,w,v5) = a(L(x,y,z) * u,w,v5). L(x,((T(y,T(z * u,w)) * u) \ T(y * (z * u),K(z * u,w))) \ v5,v6) = L(x,R(z,u,T(y,T(z * u,w))) \ v5,v6). K(x / ((y \ z) * u),w) = K((z / (x / u)) \ y,w). x \ (K(y,z) * L(x * u,w,v5)) = x * L(K(y,z) * (x \ u),w,v5). K(x,T(y,z)) * (z \ L(z * u,w,v5)) = (z \ 1) * (K(x,y) * L((z \ 1) \ u,w,v5)). T(x,K(y,z * x) * u) = T(x,K(z,y) * u). T(x,(y / z) * (y / z)) = T(x,(z \ y) * (z \ y)). K(K(x,y) * (z \ 1),u) = K(z \ K(y,x),u). L(x \ 1,x,y) * T(z,y \ (x \ y)) = T(z * ((y * x) \ y),K(x,y)). x * (y * ((x \ K(y * x,z)) * x)) = T(x * (y * K(x \ 1,x)),z). a(x,y,z \ (u * (w * (v5 * K(v5 \ 1,v5 * w))))) = a(x,y,z \ (u * L(w / (v5 \ 1),v5,v5))). a(x,y,(z * ((u * (w \ K(v5,v6))) * v7)) * v8) = a(x,y,(z * ((u * (w \ 1)) * v7)) * v8). K((x * y) / z,T(u,x)) = K(y / (x \ z),u). a(x,y,z \ (((u * (w * T(v5,v6))) \ v7) \ v8)) = a(x,y,z \ (((u * (w * v5)) \ v7) \ v8)). T(x * L(a(y,z,u) \ 1,w,v5),T(v6,L(a(y,z,u) \ 1,w,v5))) = x * (L(a(y,z,u) \ 1,w,v5) * K(x,v6)). (x \ 1) * (K(y,z) * L((x \ 1) \ u,w,v5)) = x \ (K(y,z) * L(x * u,w,v5)). x \ L(K(y,z) * (x * u),w,v5) = x * L(K(y,z) * (x \ u),w,v5). a(x,y,(z * ((u * (w \ K(v5,v6))) * v7)) * v8) = a(x,y,(z * ((u * w) * v7)) * v8). a(x,y,z \ ((((u * T(w,w \ u)) * (w \ 1)) \ v5) \ v6)) = a(x,y,z \ (((w * (u * (w \ 1))) \ v5) \ v6)). a(x,y,z \ ((((u * T(w,v5)) * v6) \ v7) \ v8)) = a(x,y,z \ (((v6 * (u * w)) \ v7) \ v8)). (x \ (x \ y)) / (x \ y) = y / (x * y). T(L(K(L(a(x,y,z) \ 1,u,w),v5) * v6,v5,L(a(x,y,z) \ 1,u,w)),K(v5,v6)) = L(a(L(a(x,y,z) \ 1,u,w),v6,v5) \ v6,L(a(x,y,z) \ 1,u,w),v5). K(x,K(y,z) * (T(z,y) \ u)) = K(x,z \ u). T(x,y \ (T(z,y) \ u)) = T(x,z \ (y \ u)). T(x,y \ (L(z,y,z) \ u)) = T(x,T(y * z,z) \ u). K(x,y) * (R(y,z,u) \ T(L(y \ L(y,w,v5),z,u) \ y,T(x,R(y,z,u)))) = L(R(y,z,u),w,v5) \ y. a(x,y,z \ (u * L(w / (v5 \ 1),v5,v5))) = a(x,y,z \ (u * (w * v5))). a(x,y,z \ ((u / (w \ 1)) * (L(u / (w \ 1),w \ 1,w) \ v5))) = a(x,y,z \ (((u / (w \ 1)) \ v5) * (u * w))). T(x * L(a(y,z,u) \ 1,w,v5),T(v6,L(a(y,z,u) \ 1,w,v5))) = x * L(a(y,z,u) \ K(x,v6),w,v5). x * (y * ((x \ K(y * x,z)) * x)) = T((1 / (1 / x)) * y,z). K(T(x,y) * y,z) = K(y * x,z). (x \ 1) * (K(y,z) * L((x \ 1) \ u,w,v5)) = x \ L(K(y,z) * (x * u),w,v5). L(x,y,L(L(z,z,u) \ u,z,z)) = L(x,y,L(u,z,z) * (z \ 1)). L(x,y,R(L(z,u,w),v5,v6) * v7) = L(x,y,L(L(z,v5,v6),u,w) * v7). T(x,K(y,z) * (u * z)) = T(x,u * T(z,y * x)). R(x,R(y,z,u),w * v5) = R(x,L(y,z,u),v5 * w). R(x,R(y,z,u),R(w,v5,v6)) = R(x,L(y,z,u),L(w,v5,v6)). a(L(x,y,z) * u,w,v5) = a(u * R(x,y,z),w,v5). a(L(x,y,z) * T(u,w),v5,v6) = a(u * R(x,y,z),v5,v6). T(x,(y \ z) * (y \ z)) = T(x,z * (y \ (z / y))). K(x \ K(y,z),u) = K(x \ K(z,y),u). K(x \ K(y,z),u) * K(w,v5) = K(w,v5) * K(x \ K(z,y),u). K(x,T(T(y,z),z) \ u) = K(x,y \ u). T(x,T(y * z,z) \ u) = T(x,y \ (z \ u)). T(x,R(y,z,u) \ (T(w,y) \ v5)) = T(x,w \ (R(y,z,u) \ v5)). (x * T(y,z)) \ ((T(y,z) * z) * x) = L(z * K(z * y,x),T(y,z),x). ((x \ y) * (x \ y)) * T(y \ x,y * (x \ (y / x))) = L(x \ y,x \ y,x). K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). T(x,(y / z) \ (z \ u)) = T(x,T(y,z) \ u). T(x,y \ (T(z,y) \ u)) = T(x,z \ (R(y,w,v5) \ u)). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). (x * T(y,z)) \ ((T(y,z) * z) * x) = L(z * K(z * y,x),y,x). T(x \ y,x * (y \ (x / y))) = L(x \ y,y \ x,y \ x). R(x,y,((T(z,u) * w) \ ((T(z,u) * u) * w)) * v5) = R(x,y,L(u * K(u * z,w),z,w) * v5). a(x,y * ((T(z,u) * w) \ ((T(z,u) * u) * w)),v5) = a(x,y * L(u * K(u * z,w),z,w),v5). R(x,y,((T(z,u) * w) \ ((T(z,u) * u) * w)) * v5) = R(x,y,L(u,z,w) * (K(u * z,w) * v5)). a(x,y * ((T(z,u) * w) \ ((T(z,u) * u) * w)),v5) = a(x,L(u,z,w) * y,v5). R(x,y,((T(z,u) * w) \ ((T(z,u) * u) * w)) * v5) = R(x,y,L(u,z,w) * v5). a(x,y * ((z * u) \ ((z * w) * u)),v5) = a(x,L(w,z,u) * y,v5). K(x,T(y,z) \ (z * u)) = K(x,(y / z) \ u). T(x,T(y,z) \ (z * u)) = T(x,(y / z) \ u). T(x,y \ (R(z,u,w) \ v5)) = T(x,y \ (z \ v5)). K(x,T(y,z) \ (z * u)) = K(x,z / (u \ y)). T(x,y \ (z \ ((z * u) * w))) = T(x,y \ (u * w)). (x \ 1) * L(K(y,z) * ((x \ 1) \ u),w,v5) = x \ L(K(y,z) * (x * u),w,v5). T(L(K(a(x,y,z) \ 1,u) * w,u,L(a(x,y,z) \ 1,v5,v6)),K(u,w)) = L(a(L(a(x,y,z) \ 1,v5,v6),w,u) \ w,L(a(x,y,z) \ 1,v5,v6),u). R(x,y,((z * u) \ ((z * w) * u)) * v5) = R(x,y,L(w,z,u) * v5). L(x,y,L(z,u,u) * (u \ 1)) = L(x,y,L(z * (u \ 1),u,u)). L(x,y,L(R(z,u,w),v5,v6) * v7) = L(x,y,L(L(z,u,w),v5,v6) * v7). T(x,y * T(z,u * x)) = T(x,y * T(z,u)). (x * R(y / z,z,y)) * (z * (y \ 1)) = R(x,L(z \ y,z,y),y * z). R(x / R(y,z,u),L(y,z,u),L(y,z,u)) = x * (R(y,z,u) \ 1). a(x * R(y,z,u),w,v5) = a(x * L(y,z,u),w,v5). a(x * R(L(y,z,u),w,v5),v6,v7) = a(x * L(L(y,w,v5),z,u),v6,v7). L((x * (((y \ 1) * (y * x)) \ 1)) \ 1,x * (((y \ 1) * (y * x)) \ 1),x \ 1) * T(z,(x \ 1) \ ((x * (((y \ 1) * (y * x)) \ 1)) \ (x \ 1))) = T(z * ((((y \ 1) * (y * x)) \ 1) \ (x \ 1)),K(x * (((y \ 1) * (y * x)) \ 1),x \ 1)). (x \ (x \ y)) / (x \ y) = R(1 / x,x,y). (x \ 1) * L((x \ K(y,z)) \ u,w,v5) = x \ L(K(z,y) * (x * u),w,v5). L((K(x,y) * (L(z,u,w) \ L(L(z,v5,v6),u,w))) * K(y,x),L(z * K(y,x),u,w),v7) \ v7 = L(z,u,w) * (K(y,x) * (L(L(z * K(y,x),u,w),v5,v6) \ v7)). R((T(x,y) \ z) * T(x,y),x \ 1,x) = T(z * (1 / x),T(x,y)) * x. K((x / ((y * z) / u)) \ w,T(v5,y)) = K(z / (y \ ((w \ x) * u)),v5). T(x,T(y,z) \ (z * u)) = x * K(x,z / (u \ y)). (x * (y \ R(y,z,u))) * a(x,x,y * L(y,z,u)) = (1 / x) \ (y \ R(y,z,u)). (x * (y \ R(y,z,u))) * a(x,x,y * L(y,z,u)) = (y / x) \ R(y,z,u). a(x,y,L((z * (u / (z * u))) \ w,v5,v6)) = a(x,y,L(w * a(u,z,z),v5,v6)). a(x,y,z \ ((((u \ 1) * (w * u)) \ v5) \ v6)) = a(x,y,z \ (((u * (w * (u \ 1))) \ v5) \ v6)). L(a(x,y,z * L(z,u,w)) \ y,x,z \ L(z,u,w)) = L(y,z \ R(z,u,w),x). L(L(x,y,z \ L(u,w,v5)) \ x,x,(z \ L(u,w,v5)) * y) = a(z \ R(u,w,v5),y,L(x,y,z \ R(u,w,v5))). L(x,((T(y,T(z * u,w)) * u) \ (y * (z * u))) \ v5,v6) = L(x,R(z,u,T(y,T(z * u,w))) \ v5,v6). R(x,y,R(z,u,w) * v5) = R(x,y,L(z,u,w) * v5). R(x,L(y \ z,y,z),z * y) = R(x,(y * (z \ 1)) \ 1,y * z). R(x / R(y,z,u),y,y) = x * (R(y,z,u) \ 1). a(x,R(y,z,u) * w,v5) = a(x,L(y,z,u) * w,v5). a(x,L(y,z,u) * w,v5) = a(x,w * R(y,z,u),v5). ((((x \ 1) * (x * y)) \ 1) \ ((y \ 1) * 1)) * T(z,(y \ 1) \ ((y * (((x \ 1) * (x * y)) \ 1)) \ (y \ 1))) = T(z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)),K(y * (((x \ 1) * (x * y)) \ 1),y \ 1)). L((K(x,y) * L(z \ L(z,u,w),v5,v6)) * K(y,x),L(z * K(y,x),v5,v6),v7) \ v7 = L(z,v5,v6) * (K(y,x) * (L(L(z * K(y,x),v5,v6),u,w) \ v7)). K((x / ((y * z) / u)) \ w,T(v5,y)) = K((((w \ x) * u) / z) \ y,v5). T(x,T(y,z) \ (z * u)) = T(x,z / (u \ y)). (1 / x) \ (y \ R(y,z,u)) = (y / x) \ R(y,z,u). (x \ R(x,y,z)) * a(u,u,x * L(x,y,z)) = u \ ((x / u) \ R(x,y,z)). a(x,x,y * L(y,z,u)) * (y \ R(y,z,u)) = x \ ((y / x) \ R(y,z,u)). a(x,y,z \ (((u * (w * (u \ 1))) \ v5) \ v6)) = a(x,y,z \ ((R(w,u,u) \ v5) \ v6)). (x \ 1) * L((x \ K(y,z)) \ u,w,v5) = x * L(K(z,y) * (x \ u),w,v5). L(x,R(y,z,T(u,T(y * z,w))) \ v5,v6) = L(x,((u * z) \ (u * (y * z))) \ v5,v6). R(x,y,L(z,u,w) * L(v5,v5,R(z,u,w))) = R(x,y,R(z,u,w) / (v5 \ 1)). L(x,y \ R(y,z,u),w) = L(x,y \ L(y,z,u),w). R(x,(y * (z \ 1)) \ 1,y * z) = R(x,y \ z,y \ z). a(x,y * R(T(z,u),w,v5),v6) = a(x,L(z,w,v5) * y,v6). a(x,R(y,z,u) * (y \ 1),w) = a(x,y \ L(y,z,u),w). a(x,L(y,y,z) * (y \ z),u) = a(x,z * a(y,y,z),u). a(x,y * R(z,u,w),v5) = a(x,y * L(z,u,w),v5). ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)) * T(z,(y \ 1) \ ((y * (((x \ 1) * (x * y)) \ 1)) \ (y \ 1))) = T(z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)),K(y * (((x \ 1) * (x * y)) \ 1),y \ 1)). R(x,y,z) \ (u * (x \ 1)) = x \ (u * (R(x,y,z) \ 1)). K(((x * y) / z) * (u \ w),T(v5,x)) = K((((w \ u) * z) / y) \ x,v5). T(x,y / (z \ u)) = T(x,(u / y) \ z). (x * K(y,z)) * (a(u,w,v5) * L(K(z,y) * (a(u,w,v5) \ (x \ v6)),x,a(u,w,v5))) = (a(u,w,v5) \ 1) * ((x * K(y,z)) * ((x * (a(u,w,v5) \ K(y,z))) \ v6)). T(a(x \ 1,x,y) * (z * L(y,x,x \ 1)),K(y,z)) = L(z,L(y,x,x),a(x \ 1,x,y)) * y. L(x,R(y,z,T(u,T(y * z,w))) \ v5,v6) = L(x,L(T(y,z),z,u) \ v5,v6). R(x,y,L(z,u,w) * L(v5,v5,R(z,u,w))) = R(x,y,(v5 \ 1) \ R(z,u,w)). a(x,L(y,z,u) * (L(T(y,w),z,u) \ (L(L(y,z,u),v5,v6) * v7)),v8) = a(x,L(R(y,z,u),v5,v6) * v7,v8). a(x,y \ R(y,z,u),w) = a(x,y \ L(y,z,u),w). a(x,(y / (z \ 1)) / z,u) = a(x,y * a(z,z,y),u). a(x,y,z \ ((((u * (w \ 1)) * w) \ v5) \ v6)) = a(x,y,z \ ((R(u,w,w) \ v5) \ v6)). a(x,y,L(a(z,u,w * L(v5,v6,v7)) \ u,z,w * L(v5,v6,v7))) = a(x,y,L(u,w * R(v5,v6,v7),z)). K((x * y) * (z \ (u \ w)),T(v5,x)) = K((((w \ u) * z) / y) \ x,v5). T(x,y / (z \ u)) = T(x,y * (u \ z)). T(x,(y / z) \ (y / u)) = T(x,z / u). x * (K(y,z) * (a(u,w,v5) * L(K(z,y) * (a(u,w,v5) \ (x \ v6)),x,a(u,w,v5)))) = (a(u,w,v5) \ 1) * ((x * K(y,z)) * ((x * (a(u,w,v5) \ K(y,z))) \ v6)). a(x,y,z \ (u * R((T(w * (v5 \ 1),v6) \ v7) * T(w * (v5 \ 1),v6),(w * (v5 \ 1)) \ 1,w * (v5 \ 1)))) = a(x,y,z \ (u * (T(v7 * (1 / (w * (v5 \ 1))),T(w * (v5 \ 1),v6)) * (w * v5)))). T(a(x \ 1,x,y) * (z * L(y,x,x \ 1)),K(y,z)) = L(z,L(y,x,x),a(x,x,y)) * y. L(x,y,L(z * (u \ 1),u,u)) = L(x,y,u \ z). L(x,y,L(L(z,u,w),v5,v6) * (v6 * v5)) = L(x,y,v6 * (v5 * R(z,u,w))). L(x,R(y,z,T(u,T(y * z,w))) \ v5,v6) = L(x,L(y,z,u) \ v5,v6). R(x,y,L(z,u,w) * L(v5,v5,R(z,u,w))) = R(x,y,v5 \ R(z,u,w)). a(x,K(y,z) * (L(L(z,u,w),v5,v6) * v7),v8) = a(x,L(R(z,u,w),v5,v6) * v7,v8). a(x,y \ (z / (y \ 1)),u) = a(x,z * a(y,y,z),u). a(x,y,z \ (((R(u \ w,u,u) * u) \ v5) \ v6)) = a(x,y,z \ ((R(w,u,u) \ v5) \ v6)). a(x,y,L(z,u * R(w,v5,v6),v7)) = a(x,y,L(z,u * L(w,v5,v6),v7)). K(x * (y * (z \ (u \ w))),T(v5,x)) = K((((w \ u) * z) / y) \ x,v5). T(x,(y * z) * (u \ w)) = T(x,y * (z / (w \ u))). T(x,R(y / z,z,y \ u) \ (u / w)) = T(x,(z * (y \ u)) / w). a(x,y,z * (R(u,w,v5) * v6)) = a(x,y,z * (L(u,w,v5) * v6)). a(x,y,(L(z,u,w) * v5) * (v6 * (a(v6,v7,R(z,u,w) * v5) \ v7))) = a(x,y,v6 * (v7 * (R(z,u,w) * v5))). (a(x,y,z) \ 1) * ((u * K(w,v5)) * ((u * (a(x,y,z) \ K(w,v5))) \ v6)) = u * (T(a(x,y,z),K(v5,w)) * L(a(x,y,z) \ (u \ v6),u,a(x,y,z))). T(a(x \ 1,x,y) * (z * L(y,x,x \ 1)),K(y,z)) = a(x,x,y) * (z * L(y,x,x)). L(x,y,L((z \ 1) * u,z,z)) = L(x,y,z \ u). a(x,y,z * (L(u * (w \ 1),w,w) * L(v5,w \ u,w \ u))) = a(x,y,(L(u * (w \ 1),w,w) \ v5) * z). L(x,y,z * (u * R(w,v5,v6))) = L(x,y,z * (u * L(w,v5,v6))). L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). R(x,y,L(z,u,w) * L(v5,v5,L(z,u,w))) = R(x,y,v5 \ R(z,u,w)). a(x,L(R(y,z,u),w,v5) * v6,v7) = a(x,L(L(y,z,u),w,v5) * v6,v7). T(x,(y \ z) \ (u * w)) = T(x,z \ ((y * u) * w)). T((x * (L(x,y,y) \ z)) \ (a(y,y,x) * z),K(u,w)) = a(K(w,u) * (L(x,y,y) \ z),L(x,y,y),a(y,y,x)). a(x,y,z \ (((u \ (u \ w)) \ v5) \ v6)) = a(x,y,z \ ((R(w,u,u) \ v5) \ v6)). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = R(T(z,K(x,y)),x,x) \ ((1 / (1 / T(x,y))) * T(z,x)). T(x,y * (z / (u \ w))) = T(x,y * (z * (w \ u))). T(x,R(y / z,z,y \ u) \ (u / w)) = T(x,z * ((y \ u) / w)). a(x,y,z * (((u * (w \ v5)) * a(u * (v5 / w),v6,v6)) * v7)) = a(x,y,z * (L(u * (v5 / w),v6,v6) * v7)). a(x,y,z * (u * ((w \ 1) * R(v5,w \ 1,w)))) = a(x,y,z * (L(v5 * (1 / w),w,w) * u)). a(x,y,z * (L(u,w,v5) * L(v6,L(u,w,v5),L(u,w,v5)))) = a(x,y,T(v6 / R(u,w,v5),u) * z). a(x,y,(L(z,u,w) * v5) * (v6 * (a(v6,v7,L(z,u,w) * v5) \ v7))) = a(x,y,v6 * (v7 * (R(z,u,w) * v5))). a(x,y,(z \ (1 / u)) * (w * ((u * z) \ K(u,u \ 1)))) = a(x,y,(w * (z \ u)) * (z * u)). L(L(a(x,y,z) \ 1,u,w),x,z * y) = L(R(x,y,z) \ x,u,w). L(a(x,x,y \ R(y,z,u)) * ((R(y,z,u) \ y) \ 1),x,x) = y \ R(y,z,u). a(x \ 1,x,y) * (z * L(y,x,x \ 1)) = a(x,x,y) * (z * L(y,x,x)). L(x,y,a(z,z \ u,R(w,v5,v6)) * ((z \ u) * L(w,v5,v6))) = L(x,y,z \ (u * R(w,v5,v6))). L(x,L(R(y,z,u),w,v5) \ R(y,z,u),v6) = L(x,L(y,z,u) \ L(R(y,z,u),w,v5),v6). L(a(x,y,R(z,u,w) \ v5) \ 1,L(z,u,w) \ v5,y) = (R(z,u,w) \ v5) \ L(R(z,u,w) \ v5,y,x). L(x,L(y,z,u) \ (L(w,R(y,z,u) \ v5,R(y,z,u)) * v5),v6) = L(x,(R(y,z,u) \ v5) * T(w,v5),v6). x * L(y,L(z,u,w) \ x,L(z,u,w)) = R(z,u,w) * ((R(z,u,w) \ x) * y). R(x,y,z) \ L(u,L(x,y,z) \ 1,L(x,y,z)) = (R(x,y,z) \ 1) * u. (x * y) * L(z,L(x,y,y) \ (x * y),L(x,y,y)) = R(x,y,y) * (L(y,y,L(x,y,y)) * z). L(x,L(y,z,u) \ L(R(y,z,u),w,v5),v6) = L(x,L(y \ L(y,w,v5),z,u),v6). L(L(x,L(y,z,u) \ w,v5) \ x,x,R(y,z,u) \ w) = a(v5,R(y,z,u) \ w,x). R(x,y,L(z,u,w) / (v5 \ 1)) = R(x,y,v5 \ R(z,u,w)). a(x \ R(y,z,u),w,L(v5,w,x \ R(y,z,u))) = a(x \ L(y,z,u),w,L(v5,w,x \ L(y,z,u))). L(x,y,z * (u \ R(w,v5,v6))) = L(x,y,z * (u \ L(w,v5,v6))). L(x \ y,y \ x,(x \ y) \ 1) = T(x \ y,x * (y \ (x / y))). T(x,y \ ((z * u) * w)) = T(x,(y \ z) * (u * w)). a(x * L(R(y,z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7). T((x * (L(x,y,y) \ z)) \ (a(y,y,x) * z),K(u,w)) = a(L(x,y,y) \ z,L(x,y,y),a(y,y,x)). a(x,y,z \ ((L(1 / u,w,w) \ v5) \ v6)) = a(x,y,z \ ((R(u,w,w) \ v5) \ v6)). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = R(T(z,K(x,y)),x,x) \ (T(1 / (1 / x),y) * T(z,x)). T(x,y * (z * (u \ w))) / x = K(x,y * (z / (w \ u))). T(x,(y / z) \ (u / w)) = T(x,z * ((y \ u) / w)). a(x,y,((L(z * (u * u),w,v5) \ (u * u)) \ v6) * v7) = a(x,y,(L(v6,L(z,w,v5),L(z,w,v5)) * L(z,w,v5)) * v7). a(x,y,(z * (u \ w)) * (u * w)) = a(x,y,(u \ w) * ((u * w) * z)). L(x,y,a(z,z \ u,L(w,v5,v6)) * ((z \ u) * L(w,v5,v6))) = L(x,y,z \ (u * R(w,v5,v6))). L(x,L(y,z,u) \ L(R(y,z,u),w,v5),v6) = L(x,L(y \ L(y,w,v5),z,u) \ 1,v6). L(x,L(y,z,u) \ (L(w,R(y,z,u) \ v5,R(y,z,u)) * v5),v6) = L(x,(R(y,z,u) \ v5) * w,v6). R(x,y,z) * ((R(x,y,z) \ u) * w) = L(x,y,z) * ((L(x,y,z) \ u) * w). (x * y) * L(z,x * (L(x,y,y) \ y),L(x,y,y)) = R(x,y,y) * (L(y,y,L(x,y,y)) * z). R(x,y,(z \ 1) \ L(u,w,v5)) = R(x,y,z \ R(u,w,v5)). L(x \ y,y \ x,(x \ y) \ 1) = T(x \ y,(y \ x) * (y \ x)). T(x,(y \ z) * (u * y)) = T(x,T(z * u,y)). T(x \ ((y / L(x,z,z)) \ (y * a(z,z,x))),K(u,w)) = a(L(x,z,z) \ y,L(x,z,z),a(z,z,x)). a(x,y,z \ (((a(u,u,w) * w) \ v5) \ v6)) = a(x,y,z \ ((R(w,u,u) \ v5) \ v6)). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = R(T(z,K(x,y)),x,x) \ (K(x,y) * (z * (1 / (1 / x)))). K(x,y * (z / (u \ w))) = K(x,y * (z * (w \ u))). T(x,y * ((z \ u) / w)) = T(x,y * (z \ (u / w))). L(a(x,x,y \ L(y,z,u)) * ((R(y,z,u) \ y) \ 1),x,x) = y \ R(y,z,u). R(R(x,y,z),u,w) \ R(x,y,z) = L(R(x,u,w),y,z) \ L(x,y,z). a(x,y,(z \ u) * ((z * u) * w)) = a(x,y,(u * z) * (w * (z \ u))). L(x,y,z \ (u * R(w,v5,v6))) = L(x,y,z \ (u * L(w,v5,v6))). L(x,L(y \ L(y,z,u),w,v5) \ 1,v6) = L(x,L(y \ L(y,z,u),w,v5),v6). L(x,L(y,z,u) \ (L(w,R(y,z,u) \ v5,L(y,z,u)) * v5),v6) = L(x,(R(y,z,u) \ v5) * w,v6). L(x,y,z) * ((L(x,y,z) \ u) * (K(R(x,y,z),R(x,y,z) \ u) * w)) = T(R(x,y,z),R(x,y,z) \ u) * ((R(x,y,z) \ u) * w). (L(x,y,z) * ((L(x,y,z) \ u) * w)) \ (u * w) = a(R(x,y,z),R(x,y,z) \ u,w). L(x,y,z) * ((L(x,y,z) \ u) * a(R(x,y,z) \ u,a(w,v5,v6),v7)) = R(x,y,z) * L(R(x,y,z) \ u,a(w,v5,v6),v7). R(x,y,y) * (L(y,y,L(x,y,y)) * z) = L(x,y,y) * ((x * (L(x,y,y) \ y)) * z). R(x,y,z \ R(u,w,v5)) = R(x,y,z \ L(u,w,v5)). L(x \ y,y \ x,(x \ y) \ 1) = T(x \ y,((y \ x) / y) * x). K((((x \ y) * z) / u) \ w,v5) = K((u * (z \ (y \ x))) * w,v5). T(a(x,a(y,y,z),L(z,y,y)),K(u,w)) = a(L(z,y,y) \ x,L(z,y,y),a(y,y,z)). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = K(x,y) * (R(z,x,x) \ (z * (1 / (1 / x)))). (a(a(x,y,z),y,y) \ K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,a(x,y,z) * (z * (((x * y) * z) \ x)))) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. T(x * a(y \ (z \ ((z * x) * y)),x,x),x * (z \ (((z * x) * y) / y))) = 1 / (((z \ ((z * x) * y)) / y) \ a(z,x,y)). a(x,y,(1 / (1 / z)) \ L(u,w,v5)) = a(x,y,z \ R(u,w,v5)). L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = L(a(x,a(x,y,z),y * z),u,w) \ 1. L(a(x,a(x,y,z),y * z),x \ R(x,y,z),u) \ u = (x \ R(x,y,z)) * (L(x \ R(x,y,z),x,z * y) \ u). (L(R(x,y,z),u,w) \ L(x,u,w)) * K(R(x,u,w),v5) = R(R(x,u,w),y,z) \ T(R(x,u,w),v5). R(R(x,y,z \ K(u,w)),v5,v6) \ R(x,y,z \ K(u,w)) = L(R(x,v5,v6),y,z \ 1) \ L(x,y,z \ K(u,w)). ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)) * T(z,(y \ 1) \ ((((x \ 1) * (x * y)) \ 1) \ (y \ (y \ 1)))) = T(z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)),K(y * (((x \ 1) * (x * y)) \ 1),y \ 1)). L(x,L(y,z,u) \ (L(w,L(y,z,u) \ v5,L(y,z,u)) * v5),v6) = L(x,(R(y,z,u) \ v5) * w,v6). T(R(x,y,z),R(x,y,z) \ u) * ((R(x,y,z) \ u) * w) = L(x,y,z) * ((L(x,y,z) \ u) * (K(x,x \ u) * w)). a(R(x,y,z),R(x,y,z) \ u,w) = a(L(x,y,z),L(x,y,z) \ u,w). L(x,y,z) * ((L(x,y,z) \ u) * a(L(x,y,z) \ u,a(w,v5,v6),v7)) = R(x,y,z) * L(R(x,y,z) \ u,a(w,v5,v6),v7). L(x,y,y) * ((x * (L(x,y,y) \ y)) * z) = R(x,y,y) * (L(y,y,x) * z). R(x,y,z) \ ((R(x,y,z) \ 1) \ u) = x \ T(u / (x \ 1),x \ 1). K((((x \ y) * z) / u) \ w,v5) = K(u * ((z \ (y \ x)) * w),v5). a(L(x,y,y) \ z,L(x,y,y),a(y,y,x)) = a(z,a(y,y,x),L(x,y,y)). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = K(x,y) * L(1 / (1 / x),x,z). (a(a(x,y,z),y,y) \ K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,z * (((x * y) * z) \ x))) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. T(x * a(y \ (z \ ((z * x) * y)),x,x),x * (z \ (z * x))) = 1 / (((z \ ((z * x) * y)) / y) \ a(z,x,y)). a(x,y,((1 / z) \ 1) \ L(u,w,v5)) = a(x,y,z \ R(u,w,v5)). ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)) * T(z,T(((((x \ 1) * (x * y)) \ 1) \ 1) / y,y \ 1)) = T(z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)),K(y * (((x \ 1) * (x * y)) \ 1),y \ 1)). L(x,(L(y,z,u) \ w) * T(v5,w),v6) = L(x,(R(y,z,u) \ w) * v5,v6). T(R(x,y,z),R(x,y,z) \ u) * ((R(x,y,z) \ u) * w) = L(x,y,z) * ((L(x,y,z) \ (x * (u / x))) * w). R(x,y,z) * L(R(x,y,z) \ u,a(w,v5,v6),v7) = L(x,y,z) * L(L(x,y,z) \ u,a(w,v5,v6),v7). R(x,y,y) * (L(y,y,x) * z) = L(x,y,y) * (R(y,y,x) * z). R(x,y,z) \ ((R(x,y,z) \ 1) \ u) = x \ ((x \ 1) \ u). K(x * (((y \ z) * u) \ w),v5) = K(x * ((u \ (z \ y)) * w),v5). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = L(K(x,y) * (1 / (1 / x)),x,z). (a(a(x,y,z),y,y) \ K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,z * (z \ ((x * y) \ x)))) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. T(x * a(y \ (z \ ((z * x) * y)),x,x),x * x) = 1 / (((z \ ((z * x) * y)) / y) \ a(z,x,y)). a(x,y,z \ R(u,w,v5)) = a(x,y,z \ L(u,w,v5)). ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)) * T(z,T(((x \ 1) * (x * ((y \ 1) \ 1))) / y,y \ 1)) = T(z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)),K(y * (((x \ 1) * (x * y)) \ 1),y \ 1)). a(x,y,z * (((u * (w \ v5)) * a(u * (w \ v5),v6,v6)) * v7)) = a(x,y,z * (L(u * (v5 / w),v6,v6) * v7)). a(x,y,z * (L(u * (1 / w),w,w) * v5)) = a(x,y,z * (v5 * R((1 / w) * u,w,w))). a(x,y,T(z / R(u,w,v5),u) * v6) = a(x,y,(L(u,w,v5) \ z) * v6). L(x,(R(y,z,u) \ w) * v5,v6) = L(x,(L(y,z,u) \ w) * v5,v6). T(R(x,y,z),R(x,y,z) \ u) * ((R(x,y,z) \ u) * w) = L(x,y,z) * ((u / L(x,y,z)) * w). (x * y) / ((L(x,y,y) * (R(y,y,x) * z)) / z) = a(L(x,y,y),L(y,y,x),z). (x \ y) / T(y \ x,((x \ y) / x) * y) = (1 / (y \ x)) * (x \ y). K(x * (y \ ((z \ u) \ w)),v5) = K(x * ((y \ (u \ z)) * w),v5). L(T(x,y),T(x,y) \ 1,T(x,y) * T(z,x)) = L(1 / (K(y,x) / x),x,z). a(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,T((R(w,v5,v6) / u) * z,z \ u)). a(x,y,z \ L(u,w,(v5 \ 1) * v6)) = a(x,y,z \ R(u,w,v6 * v5)). L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)) = x \ (L(x \ R(x,y,z),u,w) \ R(x,y,z)). ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)) * T(z,T(((x \ 1) * (x * ((y \ 1) \ 1))) / y,y)) = T(z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)),K(y * (((x \ 1) * (x * y)) \ 1),y \ 1)). a(x,y,z * (R(u * (w \ v5),v6,v6) * v7)) = a(x,y,z * (L(u * (v5 / w),v6,v6) * v7)). a(x,y,z * (L(u * (1 / w),w,w) * v5)) = a(x,y,z * (v5 * L((1 / w) * u,w,w))). a(x,y,(R(z,u,w) \ v5) * v6) = a(x,y,(L(z,u,w) \ v5) * v6). L(x,(L(y,z,u) \ (L(w,R(y,z,u) \ v5,R(y,z,u)) * v5)) * v6,v7) = L(x,((R(y,z,u) \ v5) * T(w,v5)) * v6,v7). L(x,(R(y,z,u) \ (w * v5)) / v5,v6) = L(x,(L(y,z,u) \ w) * a(R(y,z,u),R(y,z,u) \ w,v5),v6). L(L(x,(L(y,z,u) \ w) * v5,v6) \ x,x,(R(y,z,u) \ w) * v5) = a(v6,(R(y,z,u) \ w) * v5,x). R(x,y,z) * ((u / R(x,y,z)) * w) = L(x,y,z) * ((u / L(x,y,z)) * w). (1 / (x \ y)) * (y \ x) = (x \ y) \ (y \ x). a(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,(R(w,v5,v6) / u) * z). a(x,y,z \ L(u,w,(v5 \ 1) * v6)) = a(x,y,z \ L(u,w,v6 * v5)). R(x,y,z) \ (L(x / R(x,y,z),u,w) \ x) = x \ (L(x \ R(x,y,z),u,w) \ R(x,y,z)). T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z * (((y \ 1) * (y * z)) \ 1),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * T(x,z \ ((y \ 1) * (y * ((z \ 1) \ 1)))). a(x,y,((L(z * (u * u),w,v5) \ (u * u)) \ v6) * v7) = a(x,y,(L(z,w,v5) \ v6) * v7). T(x * L(a(y,z,u) \ 1,w,v5),T(v6,a(y,z,u) \ 1)) = x * L(a(y,z,u) \ K(x,v6),w,v5). L(T(x,y),T(x,y) \ 1,K(x,y) * (z * x)) = L(1 / (K(y,x) / x),x,z). L(x,(L(y,z,u) \ (L(w,R(y,z,u) \ v5,R(y,z,u)) * v5)) * v6,v7) = L(x,v6 * ((R(y,z,u) \ v5) * w),v7). L(x,(L(y,z,u) \ (w \ v5)) * a(R(y,z,u),R(y,z,u) \ (w \ v5),w),v6) = L(x,w \ (R(y,z,u) \ v5),v6). L(R(x,y,z) \ u,R(x,y,z),R(x,y,z) \ 1) * R(x,y,z) = L(x,y,z) * ((1 / L(x,y,z)) * ((x \ u) * x)). (x \ y) \ (y \ x) = y \ (x * (y \ x)). a(x,y,L(L(z,u,w) * v5,v6,v7) * (v7 * v6)) = a(x,y,v7 * (v6 * (R(z,u,w) * v5))). T((x / y) * L((x / y) \ z,u,w),y) \ T(z,y) = (x / T(y,z)) \ (L(z / (x / y),u,w) \ T(z,y)). a(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,(u \ R(w,v5,v6)) * z). T(x * L(a(y,z,u) \ 1,w,v5),v6) = x * L(a(y,z,u) \ K(x,v6),w,v5). L(T(x,y),T(x,y) \ 1,z * x) = L(1 / (K(y,x) / x),x,z). L(x,(L(y,z,u) \ (L(w,R(y,z,u) \ v5,L(y,z,u)) * v5)) * v6,v7) = L(x,v6 * ((R(y,z,u) \ v5) * w),v7). L(x,(L(y,z,u) \ (w \ v5)) * a(L(y,z,u),L(y,z,u) \ (w \ v5),w),v6) = L(x,w \ (R(y,z,u) \ v5),v6). L(R(x,y,z) \ u,R(x,y,z),R(x,y,z) \ 1) * R(x,y,z) = L(x,y,z) * T((1 / L(x,y,z)) * u,x). (((x \ y) * x) \ (x \ y)) \ ((x \ y) \ ((x \ y) * x)) = (y / x) \ (y * ((x \ y) \ ((x \ y) * x))). a(x,y,z * (u * (R(w,v5,v6) * v7))) = a(x,y,z * (u * (L(w,v5,v6) * v7))). T((x \ y) * L((x \ y) \ z,u,w),x) \ T(z,x) = (y / T(x,z)) \ (L(z / (y / x),u,w) \ T(z,x)). (x * a(y \ 1,y,z)) \ ((x * z) / (a(y \ 1,y,z) \ z)) = (a(y,y,z) * (x * L(z,y,y))) \ (x * z). a(x,y,L(z \ u,z,u \ L(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,(u \ R(w,v5,v6)) * z). a(x,y,z * ((u \ (w \ u)) * w)) = a(x,y,a(w,w,u) * z). L(1 / (K(x,y) / y),y,z) = L(T(y,x),y \ 1,z * y). L(x,(L(y,z,u) \ (L(w,L(y,z,u) \ v5,L(y,z,u)) * v5)) * v6,v7) = L(x,v6 * ((R(y,z,u) \ v5) * w),v7). L(R(x,y,z) \ u,R(x,y,z),R(x,y,z) \ 1) * R(x,y,z) = ((1 / L(x,y,z)) * u) * L(x,y,z). (x \ (x / y)) \ ((y \ x) \ ((y \ x) * y)) = (x / y) \ (x * ((y \ x) \ ((y \ x) * y))). a(x,y,z * (u * (L(w,v5,v6) * ((L(v7,v8,v9) * L(v7 \ 1,v8,v9)) \ v10)))) = a(x,y,z * ((v10 * R(w,v5,v6)) * u)). a(x,y,z * (u \ ((u * u) * (R(w,v5,v6) * v7)))) = a(x,y,z * (R(u,u,R(w,v5,v6) * v7) * (L(w,v5,v6) * v7))). a(x,y,z * (u * (L(w,v5,v6) * T(v7,w)))) = a(x,y,z * (u * (v7 * R(w,v5,v6)))). L(a(x,x,y * L(y,z,u)) * ((R(y,z,u) \ y) \ 1),x,x) = y \ R(y,z,u). (x / T(y,z)) \ (L(z / (x / y),u,w) \ T(z,y)) = (y \ (x * L(x \ (z * y),u,w))) \ T(z,y). (x * a(y \ 1,y,z)) \ ((x * z) / (a(y \ 1,y,z) \ z)) = a(a(y,y,z),L(z,y,y),x). a(x,y,T((L(z,u,w) / v5) * v6,v6 \ v5)) = a(x,y,(v5 \ R(z,u,w)) * v6). (x / (y \ 1)) \ R(x,z,u) = y \ (x \ R(x,z,u)). (x \ R(x,y,z)) \ ((x \ R(x,y,z)) / (u \ 1)) = (x \ R(x,y,z)) \ ((x / u) \ R(x,y,z)). x \ ((y / x) \ R(y,z,u)) = L(y \ R(y,z,u),x,x). L(x,(L(y,z,u) \ ((w \ v5) * w)) / w,v6) = L(x,w \ (R(y,z,u) \ v5),v6). a(x,y,z * (L(u * (w / v5),v6,v6) * v7)) = a(x,y,z * (L(u * (v5 \ w),v6,v6) * v7)). a(x,y,a(z,u,u) * w) = a(x,y,a(u,u,z) * w). L(x,((L(y,z,u) \ w) * T(v5,w)) * v6,v7) = L(x,v6 * ((R(y,z,u) \ w) * v5),v7). ((1 / R(x,y,z)) * u) * R(x,y,z) = ((1 / L(x,y,z)) * u) * L(x,y,z). L((K(x,y) * L(z \ L(z,u,w),v5,v6)) * K(y,x),R(z * K(y,x),v5,v6),v7) \ v7 = R(z,v5,v6) * (K(y,x) * (L(R(z * K(y,x),v5,v6),u,w) \ v7)). a(x,y,L(z * (u * R(w,v5,v6)),u * L(w,v5,v6),u * R(w,v5,v6))) = a(x,y,(u * R(w,v5,v6)) \ z). a(x,y,z * ((u * R(w,v5,v6)) * v7)) = a(x,y,z * ((u * L(w,v5,v6)) * v7)). a(x,y,z * (u * (w * R(v5,v6,v7)))) = a(x,y,z * (u * (w * L(v5,v6,v7)))). a(x,y,z * (R(u,u,R(w,v5,v6) * v7) * (L(w,v5,v6) * v7))) = a(x,y,(u \ (R(w,v5,v6) * v7)) * z). T((x / y) \ (L(z / (x / y),u,w) \ z),K(y,z)) = (y \ (x * L(x \ (z * y),u,w))) \ T(z,y). T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z * (((y \ 1) * (y * z)) \ 1),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * T(x,(z \ (y \ 1)) * (y * ((z \ 1) \ 1))). L(a(x,x,y * L(y,z,u)) * (y \ R(y,z,u)),x,x) = y \ R(y,z,u). a(x,y,(L(z,u,w) / v5) * v6) = a(x,y,(v5 \ R(z,u,w)) * v6). (x / y) \ (x * ((y \ x) \ ((y \ x) * y))) = (x \ (x / y)) \ y. L(x,y \ (R(z,u,w) \ v5),v6) = L(x,y \ (L(z,u,w) \ v5),v6). a(x,y,z * (L(u * (w \ 1),w,w) * v5)) = a(x,y,z * (v5 * L((1 / w) * u,w,w))). L(x,y * ((R(z,u,w) \ v5) * v6),v7) = L(x,y * ((L(z,u,w) \ v5) * v6),v7). ((1 / L(x / y,y,x)) * z) * L(x / y,y,x) = ((y * (x \ 1)) * z) * ((y * (x \ 1)) \ 1). L(L(K(x,y) * (z \ L(z,u,w)),v5,v6) * K(y,x),R(z * K(y,x),v5,v6),v7) \ v7 = R(z,v5,v6) * (K(y,x) * (L(R(z * K(y,x),v5,v6),u,w) \ v7)). L(L(K(x,y) * (z \ L(z,u,w)),v5,v6) * K(y,x),L(z * K(y,x),v5,v6),v7) \ v7 = L(z,v5,v6) * (K(y,x) * (L(L(z * K(y,x),v5,v6),u,w) \ v7)). a(x,y,L(z * (u * R(w,v5,v6)),u * L(w,v5,v6),u * L(w,v5,v6))) = a(x,y,(u * R(w,v5,v6)) \ z). a(x,y,z * ((u * L(w,v5,v6)) * (L(u * R(w,v5,v6),v7,v8) \ (u * R(w,v5,v6))))) = a(x,y,L(u * R(w,v5,v6),v7,v8) * z). a(x,y,z * (((u \ w) * L(v5,v6,v7)) * a(u,u \ w,R(v5,v6,v7)))) = a(x,y,z * (u \ (w * R(v5,v6,v7)))). a(x,y,z * (u * (w * L(v5,v6,a(v7,v8,v8))))) = a(x,y,z * (u * (w * L(v5,v6,a(v8,v8,v7))))). a(x,y,z * (R(u,u,L(w,v5,v6) * v7) * (L(w,v5,v6) * v7))) = a(x,y,(u \ (R(w,v5,v6) * v7)) * z). T((x \ y) \ (L(z / (x \ y),u,w) \ z),K(x,z)) = (x \ (y * L(y \ (z * x),u,w))) \ T(z,x). T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z * (((y \ 1) * (y * z)) \ 1),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * T(x,(z \ (y \ 1)) * (y / (z \ 1))). a(x,y,(z \ R(u,w,v5)) * v6) = a(x,y,(z \ L(u,w,v5)) * v6). L(x,y \ (L(z,u,w) \ (v5 * z)),v6) = L(x,y \ (z * (R(z,u,w) \ v5)),v6). a(x,y,z * (L(u * (w \ 1),w,w) * v5)) = a(x,y,z * (v5 * L((w \ 1) * u,w,w))). (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u) = (x / ((x \ y) \ 1)) \ L(((x \ y) * (y \ x)) * y,z,u). L(x,y * ((L(z,z,u) \ u) * z),w) = L(x,L(u,z,z) * y,w). ((x * (y \ 1)) * z) * ((x * (y \ 1)) \ 1) = ((1 / (y / x)) * z) * (y / x). L(L((K(x,y) * (z \ L(z,u,w))) * K(y,x),v5,v6),R(z * K(y,x),v5,v6),v7) \ v7 = R(z,v5,v6) * (K(y,x) * (L(R(z * K(y,x),v5,v6),u,w) \ v7)). L(L((K(x,y) * (z \ L(z,u,w))) * K(y,x),v5,v6),L(z * K(y,x),v5,v6),v7) \ v7 = L(z,v5,v6) * (K(y,x) * (L(L(z * K(y,x),v5,v6),u,w) \ v7)). a(x,y,L(z * (u * L(w,v5,v6)),u * L(w,v5,v6),u * L(w,v5,v6))) = a(x,y,(u * R(w,v5,v6)) \ z). a(x,y,z * (L(u,u,L(w,v5,v6) * v7) * (L(w,v5,v6) * v7))) = a(x,y,(u \ (R(w,v5,v6) * v7)) * z). a(x,x,y * L(y,z,u)) * (y \ R(y,z,u)) = L(1 / (y \ R(y,z,u)),x,x) \ 1. (x \ (y * L(y \ (z * x),u,w))) \ T(z,x) = (x \ y) \ (L(z / (x \ y),u,w) \ z). T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z * (((y \ 1) * (y * z)) \ 1),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * T(x,(z \ (y \ 1)) * (y * z)). a(x,y,(z \ L(K(u,w) * v5,v6,v7)) * v8) = a(x,y,v8 * (z \ R(v5,v6,v7))). a(x,y,((z \ R(u,w,v5)) * v6) * a(v7,v7,(z \ L(u,w,v5)) * v6)) = a(x,y,L((z \ R(u,w,v5)) * v6,v7,v7)). a(L(x,y,y) \ z,a(y,y,x),L(x,y,y)) = a(z,a(y,y,x),L(x,y,y)). (x \ (x / y)) \ y = (x / y) \ (x * y). L(x,y \ (z * (R(z,u,w) \ v5)),v6) = L(x,y \ (z * (L(z,u,w) \ v5)),v6). a(x,y,z * (L(u * (w \ 1),w,w) * v5)) = a(x,y,z * (v5 * L(u * w,w,w))). x * R(1 / x,x,y) = a(x,x \ 1,x \ y). (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u) = (x / ((x \ y) \ 1)) \ L(x / ((x \ y) \ 1),z,u). (x * a(y \ 1,y,z)) \ ((x * z) / L(z,y,y \ 1)) = a(a(y,y,z),L(z,y,y),x). L(x,R(y,z,z) * u,w) = L(x,L(y,z,z) * u,w). T(((1 / (x / y)) * z) * (x / y),y / x) = R(z,y * (x \ 1),y * x). L(L(K(x,y) * ((z \ L(z,u,w)) * K(y,x)),v5,v6),R(z * K(y,x),v5,v6),v7) \ v7 = R(z,v5,v6) * (K(y,x) * (L(R(z * K(y,x),v5,v6),u,w) \ v7)). L(L(K(x,y) * ((z \ L(z,u,w)) * K(y,x)),v5,v6),L(z * K(y,x),v5,v6),v7) \ v7 = L(z,v5,v6) * (K(y,x) * (L(L(z * K(y,x),v5,v6),u,w) \ v7)). a(x,y,(z * R(u,w,v5)) \ v6) = a(x,y,(z * L(u,w,v5)) \ v6). ((x \ R(x,y,z)) \ 1) * (u * (x \ R(x,y,z))) = L(u,x \ L(x,y,z),(x \ R(x,y,z)) \ 1). L(a(x,a(x,y,z),y * z),x \ L(x,y,z),u) \ u = (x \ R(x,y,z)) * (L(x \ R(x,y,z),x,z * y) \ u). a(x,y,z * ((L(u,w,v5) * v6) / (T(v7,u * v6) \ 1))) = a(x,y,(v7 \ (R(u,w,v5) * v6)) * z). a(x,x,y * L(y,z,u)) * (y \ R(y,z,u)) = L(R(y,z,u) \ y,x,x) \ 1. T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z * (((y \ 1) * (y * z)) \ 1),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * T(x,T((y \ 1) * y,z)). a(x,y,z * (u \ R(w,v5,v6))) = a(x,y,z * (u \ L(w,v5,v6))). a(x,y \ ((z / y) \ (z * y)),a(u,w,v5)) = a(x,z \ ((y \ 1) \ z),a(u,w,v5)). L(x,y \ (a(L(z,u,w),u,w) \ u),v5) = L(x,y \ (z * (L(z,u,w) \ u)),v5). a(x,y,z * (L(u * (w \ 1),w,w) * v5)) = a(x,y,z * (v5 * (w \ u))). a(x,x \ 1,x \ y) = a(x,x \ 1,y * x). (x * R(1 / x,x,y)) \ y = (x \ 1) * (x * y). ((a(x,y,z) \ 1) \ u) \ R(u,w,v5) = a(x,y,z) \ (u \ R(u,w,v5)). a(x,y,((z \ u) \ R(u,w,v5)) \ v6) = a(x,y,(z \ (u \ R(u,w,v5))) \ v6). (x \ R(x,y,z)) / (u \ 1) = (x / u) \ R(x,y,z). L((x * y) \ R(x * y,z,u),y,y) = y \ (x \ R(x * y,z,u)). (x * a(y \ 1,y,z)) \ (z * (L(z,y,y \ 1) \ x)) = a(a(y,y,z),L(z,y,y),x). L(x,y * ((z \ 1) * (u * z)),w) = L(x,L(u,z,z) * y,w). L(x,L(y,z,z) * (y * u),w) = L(x,y * (R(y,z,z) * u),w). R(x,(y \ z) \ 1,y \ z) = R(x,y * (z \ 1),y * z). L(L(K(x,y) * (z * L(z \ K(y,x),u,w)),v5,v6),R(z * K(y,x),v5,v6),v7) \ v7 = R(z,v5,v6) * (K(y,x) * (L(R(z * K(y,x),v5,v6),u,w) \ v7)). L(L(K(x,y) * (z * L(z \ K(y,x),u,w)),v5,v6),L(z * K(y,x),v5,v6),v7) \ v7 = L(z,v5,v6) * (K(y,x) * (L(L(z * K(y,x),v5,v6),u,w) \ v7)). a(x,y,((R(z,u,w) \ v5) * L(z,u,w)) \ v6) = a(x,y,v5 \ v6). ((x \ R(x,y,z)) \ 1) * (u * (x \ R(x,y,z))) = L(u,x \ L(x,y,z),x \ R(x,y,z)). L(a(x,a(x,y,z),y * z),x \ L(x,y,z),u) \ u = (x \ R(x,y,z)) * (a(x,y,z) \ u). a(x,y,z * ((T(u,w * v5) \ 1) \ (L(w,v6,v7) * v5))) = a(x,y,(u \ (R(w,v6,v7) * v5)) * z). x * (L(R(y,z,u) \ y,x,x) \ 1) = (y / x) \ R(y,z,u). K(x,y) * (R(y,z,u) \ T(L(y \ L(y,w,v5),z,u) \ y,T(x,y))) = L(R(y,z,u),w,v5) \ y. T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z * (((y \ 1) * (y * z)) \ 1),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * T(x,K(y \ 1,y)). a(x,y,R(z,z,u \ R(w,v5,v6)) * (u \ L(w,v5,v6))) = a(x,y,z \ (u \ R(w,v5,v6))). a(x,y,z * (L(u \ w,u,w \ R(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z * T((R(v5,v6,v7) / w) * u,u \ w)). L(x,y \ (a(L(z,u,w),u,w) \ u),v5) = L(x,y \ (a(w,u,z) * u),v5). a(x,y,z * (L(u,w \ v5,w \ v5) * (w \ v5))) = a(x,y,(L(v5 * (w \ 1),w,w) \ u) * z). (L(R(x,y,z),u,w) \ L(x,u,w)) * K(x,v5) = R(R(x,u,w),y,z) \ T(R(x,u,w),v5). L(R(x,y,z),u,w \ 1) \ L(x,u,w \ K(v5,v6)) = R(R(x,u,w),y,z) \ R(x,u,w \ K(v5,v6)). a(x,x \ 1,(x \ 1) \ y) = a(x,x \ 1,y * x). (x * (y / (x * y))) \ y = (x \ 1) * (x * y). (x * a(y,z,u)) \ R(x,w,v5) = a(y,z,u) \ (x \ R(x,w,v5)). (L(x,y,z) \ L(R(x,u,w),y,z)) / (v5 \ 1) = (L(x,y,z) / v5) \ R(L(x,y,z),u,w). a(a(x,x,x \ y),L(x \ y,x,x),z) = (z * a(x \ 1,x,x \ y)) \ ((x \ y) * (((1 / x) * y) \ z)). (a(x,y,z) \ 1) * ((u * K(w,v5)) * ((u * (a(x,y,z) \ K(w,v5))) \ v6)) = u * (a(x,y,z) * L(a(x,y,z) \ (u \ v6),u,a(x,y,z))). a(x,y,L(z,L(1 / u,w * u,w * u),v5)) = a(x,y,L(z,L(w,u,u) * (w * u),v5)). L(x,y * (R(y,z,z) * u),w) = L(x,y * (L(y,z,z) * u),w). L(L(x \ L(x,y,z),u,w),R(x * K(v5,v6),u,w),v7) \ v7 = R(x,u,w) * (K(v5,v6) * (L(R(x * K(v5,v6),u,w),y,z) \ v7)). L(L(x \ L(x,y,z),u,w),L(x * K(v5,v6),u,w),v7) \ v7 = L(x,u,w) * (K(v5,v6) * (L(L(x * K(v5,v6),u,w),y,z) \ v7)). a(x,y,R(z,u,w) \ v5) = a(x,y,L(z,u,w) \ v5). ((x \ R(x,y,z)) \ 1) * (u * (x \ R(x,y,z))) = L(u,x \ L(x,y,z),x \ L(x,y,z)). a(x,y,(T(z,u * w) \ (L(u,v5,v6) * w)) * v7) = a(x,y,(z \ (R(u,v5,v6) * w)) * v7). x * (L(L(R(y,z,u),w,v5) \ L(y,w,v5),x,x) \ 1) = (L(y,w,v5) / x) \ R(L(y,w,v5),z,u). T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z * (((y \ 1) * (y * z)) \ 1),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * x. a(x,y,R(z,z,u \ L(w,v5,v6)) * (u \ L(w,v5,v6))) = a(x,y,z \ (u \ R(w,v5,v6))). a(x,y,z * (L(u \ w,u,w \ R(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z * ((R(v5,v6,v7) / w) * u)). (x * (a(y,y,x) \ (L(x,y,y) \ z))) \ z = a(z,a(y,y,x),L(x,y,y)). R(R(x,y,z),u,w) \ T(R(x,y,z),v5) = L(R(x,u,w),y,z) \ L(T(x,v5),y,z). L(R(x,y,z),u,w \ 1) \ L(x,u,w \ K(v5,v6)) = R(R(x,u,w),y,z) \ R(x,u,w). a(x,x \ 1,y * x) * y = x \ ((x \ 1) \ y). x / ((y \ 1) * (y * x)) = y * (x / (y * x)). (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u) = ((x \ y) \ 1) \ (x * L(x \ ((x \ y) \ 1),z,u)). (L(x,y,z) \ L(R(x,u,w),y,z)) / (v5 \ 1) = (L(x,y,z) / v5) \ L(R(x,u,w),y,z). (x * a(y \ 1,y,y \ z)) \ ((y \ z) * (((1 / y) * z) \ x)) = a(z * y,a(y,y,z),x). (a(x,y,z) \ 1) * ((u * K(w,v5)) * ((u * (a(x,y,z) \ K(w,v5))) \ v6)) = a(x,y,z) * (u * ((a(x,y,z) * u) \ v6)). L(L(x \ L(x,y,z),u,w),L(x \ L(x,y,z),u,w),v5) = (v5 * (1 / L(x \ L(x,y,z),u,w))) \ v5. a(x,y,L(z,L(1 / u,w * u,w * u),v5)) = a(x,y,L(z,w * (L(w,u,u) * u),v5)). L(x,y * (L(y,z,z) * u),w) = L(x,y * (u * R(y,z,z)),w). L(x,y * R(y * z,z \ 1,z),u) = L(x,y * (L(y,z,z) * z),u). L(L(x \ L(x,y,z),u,w),L(x * K(v5,v6),u,w),v7) \ v7 = R(x,u,w) * (K(v5,v6) * (L(R(x * K(v5,v6),u,w),y,z) \ v7)). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) \ v5 = L(x,u,w) * (K(v6,v7) * (L(L(x * K(v6,v7),u,w),y,z) \ v5)). a(x,y,L(z,u,w \ 1) \ v5) = a(x,y,R(z,u,w) \ v5). a(x,y,L(z,u,L(w \ 1,v5,v6)) \ v7) = a(x,y,R(z,u,L(w,v5,v6)) \ v7). L(a(x,y,L(z,u,w) \ v5) \ 1,L(z,u,w) \ v5,y) = (R(z,u,w) \ v5) \ L(R(z,u,w) \ v5,y,x). ((x \ R(x,y,z)) \ 1) * (u * (x \ R(x,y,z))) = L(u,x \ L(x,y,z),x * L(x,y,z)). a(x,y,(z \ (R(u,w,v5) * v6)) * v7) = a(x,y,(z \ (L(u,w,v5) * v6)) * v7). a(x,y \ ((y \ 1) \ z),u) = a(x,z * a(y,y,z),u). x * (L(L(R(y,z,u),w,v5) \ L(y,w,v5),x,x) \ 1) = (L(y,w,v5) / x) \ L(R(y,z,u),w,v5). (x * y) * (L(L(R(y,z,u),x,x \ 1) \ L(y,x,x \ 1),x * y,x * y) \ 1) = (1 / x) \ R(L(y,x,x \ 1),z,u). K(x,y) * (R(y,z,u) \ T(L(y \ L(y,w,v5),z,u) \ y,x)) = L(R(y,z,u),w,v5) \ y. T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(z / ((y \ 1) * (y * z)),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * x. a(x,y,z \ (u \ R(w,v5,v6))) = a(x,y,z \ (u \ L(w,v5,v6))). a(x,y,z * (L(u \ w,u,w \ R(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z * ((w \ R(v5,v6,v7)) * u)). a(x,a(y,y,a(y,y,z) * z),L(a(y,y,z) * z,y,y)) = ((a(y,y,z) * z) * (a(y,y,a(y,y,z) * z) \ (z \ x))) \ x. R(R(x,y,z),u,w) \ R(T(x,v5),y,z) = L(R(x,u,w),y,z) \ L(T(x,v5),y,z). L(R(x,y,z),u,w \ 1) \ L(x,u,w \ K(v5,v6)) = L(R(x,y,z),u,w) \ L(x,u,w). (x * (y / (x * y))) * y = x \ ((x \ 1) \ y). (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u) = (x \ y) \ (x * L(x \ (x \ y),z,u)). (x * (((y \ z) / z) * y)) \ ((y \ z) * (((1 / y) * z) \ x)) = a(z * y,a(y,y,z),x). (a(x,y,z) \ 1) * (u * (K(w,v5) * ((u * (a(x,y,z) \ K(w,v5))) \ v6))) = a(x,y,z) * (u * ((a(x,y,z) * u) \ v6)). L(L(x \ L(x,y,z),u,w),L(x \ L(x,y,z),u,w),v5) = (v5 * (L(x \ L(x,y,z),u,w) \ 1)) \ v5. L(x,y * (L(y,z,z) * z),u) = L(x,y * R(y * z,z,z),u). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) \ v5 = R(x,u,w) * (K(v6,v7) * (L(R(x * K(v6,v7),u,w),y,z) \ v5)). a(x,y,L(z,u,w \ 1) \ v5) = a(x,y,L(z,u,w) \ v5). a(x,y,L(z,u,L(w \ 1,v5,v6)) \ v7) = a(x,y,L(z,u,L(w,v5,v6)) \ v7). (R(x,y,z) \ u) \ L(R(x,y,z) \ u,w,v5) = (L(x,y,z) \ u) \ L(L(x,y,z) \ u,w,v5). (R(x,y,z) \ x) * (u * (x \ R(x,y,z))) = L(u,x \ L(x,y,z),x * L(x,y,z)). a(x,y,(z \ (L(u \ 1,u,w) * u)) * v5) = a(x,y,v5 * (z \ a(u \ 1,u,w))). a(x,(y \ 1) \ (y \ z),u) = a(x,y \ ((y \ 1) \ z),u). a(x,y \ ((y \ 1) \ z),u) = a(x,L(z,y,y),u). R(T(x,y),z,u) \ T(L(x \ L(x,w,v5),z,u) \ x,y) = L(R(x,z,u),w,v5) \ x. T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),K(y * (z / (y * z)),z \ 1)) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * x. a(x,y,z \ (u \ (w \ ((w \ 1) \ v5)))) = a(x,y,z \ (u \ L(v5,w,w))). a(x,y,z \ (L(R(u,u,L(w,v5,v6)),v7,u) \ L(w,v5,v6))) = a(x,y,z \ (u * R(w,v5,v6))). a(x,y,z \ (R(u / w,w,u \ R(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z \ (w * (u \ R(v5,v6,v7)))). a(x,y,z \ (L(u \ w,u,w \ R(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z \ T((R(v5,v6,v7) / w) * u,u \ w)). a(x,y,z * (L(u \ w,u,w \ L(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z * ((w \ R(v5,v6,v7)) * u)). a(x,a(y,y,a(y,y,z) * z),L(a(y,y,z) * z,y,y)) = ((a(y,y,z) * z) * (a(y,y,L(z,y,y)) \ (z \ x))) \ x. x * ((x * R(T(y,x),z,u)) \ R(T(y,x),z,u)) = L(R(y,x,x),z,u) \ L(T(y,x),z,u). L(R(x,y,z),u,w \ 1) \ L(x,u,w \ 1) = L(R(x,y,z),u,w) \ L(x,u,w). a(x \ R(y,z,u),w,L(v5,w,x \ L(y,z,u))) = a(x \ L(y,z,u),w,L(v5,w,x \ L(y,z,u))). x * (y * (x / (y * x))) = y \ ((y \ 1) \ x). (x * (1 / (y \ x))) \ L(y * (x \ (y * ((x \ y) \ 1))),z,u) = (x \ y) \ (x \ L(y,z,u)). a(x \ y,a(y,x,x),z) = a(y * x,a(x,x,y),z). (a(x,y,z) \ 1) * (u * ((u * (a(x,y,z) \ 1)) \ w)) = a(x,y,z) * (u * ((a(x,y,z) * u) \ w)). L(x,y * (L(y,z,z) * z),u) = L(x,y * L(y * z,z,z),u). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) \ v5 = R(x,u,w) * (K(v6,v7) * (K(v7,v6) * (L(R(x,u,w),y,z) \ v5))). a(x,y,L(L(z,u,w \ 1),v5,v6) \ v7) = a(x,y,L(L(z,v5,v6),u,w) \ v7). a(x,y,L(((z \ 1) \ u) \ w,(z \ 1) \ u,z) \ v5) = a(x,y,(u \ ((z \ 1) * w)) \ v5). a(x,y,L(L(z,u,w) \ v5,L(z,u,w),L(z,v6,v7)) \ (L(z,v6,v7) * v5)) = a(x,y,L(z,v6,v7) \ L(z,u,w)). (R(x,y,z) \ u) \ L(R(x,y,z) \ u,w,v5) = L(x,y,z) \ (u * L(u \ L(x,y,z),w,v5)). (R(x,y,z) \ x) * (u * (x \ R(x,y,z))) = u. L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = T(L(1 * v5,v6,L(a(x,y,z) \ 1,u,w)),K(v6,v5)). a(x,y,(z \ ((u \ 1) * L(u,u,w))) * v5) = a(x,y,v5 * (z \ a(u \ 1,u,w))). a(x,y \ ((y \ 1) \ (y * z)),u) = a(x,(y \ 1) \ z,u). (R(x,y,z) \ x) * (L(R(T(x,u),y,z),w,v5) \ R(T(x,u),y,z)) = L(R(x,y,z),w,v5) \ x. T(x * ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)),1) = ((((y \ 1) * (y * z)) \ 1) \ (z \ 1)) * x. a(x,y,z \ (u * R(w,v5,v6))) = a(x,y,z \ (u * L(w,v5,v6))). a(x,y,z \ (R(u / w,w,u \ L(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z \ (w * (u \ R(v5,v6,v7)))). a(x,y,z \ (L(u \ w,u,w \ R(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z \ ((R(v5,v6,v7) / w) * u)). a(x,y,z * T((L(u,w,v5) / v6) * v7,v7 \ v6)) = a(x,y,z * ((v6 \ R(u,w,v5)) * v7)). a(x,a(y,y,a(y,y,z) * z),L(a(y,y,z) * z,y,y)) = ((a(y,y,z) * z) * (a(y,y,z) \ (z \ x))) \ x. x * ((x * R(T(y,x),z,u)) \ R(T(y,x),z,u)) = x * ((x * L(y,z,u)) \ L(y,z,u)). (x * y) * (L(L(R(y,z,u),x,x) \ L(y,x,x),x * y,x * y) \ 1) = (1 / x) \ R(L(y,x,x \ 1),z,u). a(x \ R(y,z,u),w,L(v5,w,x \ L(y,z,u))) = a(x \ L(y,z,u),w,v5). (x \ 1) * (y * (x / (y * x))) = y \ ((y \ 1) \ (x \ 1)). (x * (1 / (y \ x))) \ L(x * (1 / (y \ x)),z,u) = (x \ y) \ (x \ L(y,z,u)). a(a(x,y,y),y \ x,z) = a(x * y,a(y,y,x),z). a(x \ y,a(x,x,y),z) = a(y * x,a(x,x,y),z). (x \ y) * a(y * x,a(x,x,y),z) = L(x \ y,a(y,x,x),z). (a(x,y,z) \ 1) * (u * ((a(x,y,z) \ u) \ w)) = a(x,y,z) * (u * ((a(x,y,z) * u) \ w)). L(x,y * (z * R(y,z,z)),u) = L(x,y * L(y * z,z,z),u). a(x,y,L(z,L(1 / u,w * u,w * u),v5)) = a(x,y,L(z,w * L(w * u,u,u),v5)). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) \ v5 = R(x,u,w) * (L(R(x,u,w),y,z) \ v5). a(x,y,L(L(z,a(u,u,z),w),u,u) \ (z * w)) = a(x,y,w * a(u \ 1,u,z)). a(x,y,(z \ ((u \ 1) * w)) \ v5) = a(x,y,(z \ (u * w)) \ v5). (x \ R(x,y,z)) \ u = (R(x,y,z) \ x) * u. L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = T(L(v5,v6,L(a(x,y,z) \ 1,u,w)),K(v6,v5)). a(x,y,(z \ (L(u,u,w) * u)) * v5) = a(x,y,v5 * (z \ a(u \ 1,u,w))). a(x,L(y * z,y,y),u) = a(x,(y \ 1) \ z,u). (R(x,y,z) \ x) * (L(T(x,u) \ L(T(x,u),w,v5),y,z) \ 1) = L(R(x,y,z),w,v5) \ x. ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)) * z = z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)). a(x,y,(z \ (a(z,z \ 1,u) \ z)) * w) = a(x,y,(L(z,z \ 1,u) \ z) * w). a(x,y,(R(L(z,u,w),v5,v6) \ v7) * v8) = a(x,y,(L(L(z,v5,v6),u,w) \ v7) * v8). a(x,y,(R(L(z \ u,w,v5),z,z \ 1) \ v6) * v7) = a(x,y,(L((1 / z) * u,w,v5) \ v6) * v7). a(x,y,(L(z,u,w) \ v5) * (v6 * (a(v6,v7,R(z,u,w) \ v5) \ v7))) = a(x,y,L(R(z,u,w) \ v5,v7,v6) * (v6 * v7)). a(x,y,(z * L(T(u,w),z,w)) \ (z * L(T(u,w * z),w,z))) = a(x,y,a(w,w \ (L(u,z,w) * w),z)). a(x,y,((T(z,u) * w) * v5) \ ((z * w) * L(v5,z,w))) = a(x,y,a(v5,z,w)). a(x,y,z \ (u * L(K(w,v5) * v6,v7,v8))) = a(x,y,z \ (R(v6,v7,v8) * u)). a(x,y,z \ (u * (w \ R(v5,v6,v7)))) = a(x,y,z \ (u * (w \ L(v5,v6,v7)))). a(x,y,z \ (L(u \ w,u,w \ R(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z \ ((w \ R(v5,v6,v7)) * u)). a(x,y,z * ((L(u,w,v5) / v6) * v7)) = a(x,y,z * ((v6 \ R(u,w,v5)) * v7)). a(x,a(y,y,a(y,y,z) * z),L(a(y,y,z) * z,y,y)) = ((a(y,y,z) * z) * (z \ (a(y,y,z) \ x))) \ x. x * ((R(y,z,u) * x) \ R(T(y,x),z,u)) = x * ((x * L(y,z,u)) \ L(y,z,u)). (L(x,y,y) / (y * x)) \ L(R(x,z,u),y,y) = (1 / y) \ R(L(x,y,y \ 1),z,u). a(x \ R(y,z,u),w,v5) = a(x \ L(y,z,u),w,v5). (x \ 1) * (y * (x / (y * x))) = ((y \ 1) * (y * x)) \ 1. a(x,y,z) \ (u * ((a(x,y,z) \ u) \ w)) = a(x,y,z) * (u * ((a(x,y,z) * u) \ w)). a(x,y,L(z,L(L(u,u,w),R(w,u,u),R(w,u,u)),v5)) = a(x,y,L(z,w * L(w * u,u,u),v5)). a(x,y,L(z,L(u \ 1,w * u,w * u),v5)) = a(x,y,L(z,w * L(w * u,u,u),v5)). L(x,y,z) * (K(u,w) * (L(L(x * K(u,w),y,z),v5,v6) \ v7)) = R(x,y,z) * (L(R(x,y,z),v5,v6) \ v7). a(x,y,z * a(u \ 1,u,w)) = a(x,y,a(u,u,w) * z). a(x,y,(z \ ((u \ 1) * R(u \ 1,u,w))) \ v5) = a(x,y,(z \ a(u \ 1,u,w)) \ v5). (R(x,y,z) \ x) \ u = (x \ R(x,y,z)) * u. (x \ R(x,y,z)) \ a(x,u,w) = x * (R(x,y,z) \ a(x,u,w)). (x \ R(x,y,z)) \ (u * R(u \ ((R(x,y,z) \ x) \ u),w,v5)) = u * ((R(x,y,z) \ x) * R((R(x,y,z) \ x) \ 1,w,v5)). L((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w),v5,w) = (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w). ((x \ R(x,y,z)) \ u) * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),w,v5)) = (R(x,y,z) \ x) * (u * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),w,v5))). ((R(x,y,z) \ x) * u) * u = u * ((x \ R(x,y,z)) \ u). (L(x,y,z) \ L(R(x,u,w),y,z)) \ v5 = (R(R(x,y,z),u,w) \ R(x,y,z)) * v5. (x \ R(x,y,z)) \ (u * R(u \ ((x \ R(x,y,z)) * u),w,v5)) = u * ((R(x,y,z) \ x) * R((R(x,y,z) \ x) \ 1,w,v5)). L(x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w)),v5,w) = (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w). ((R(x,y,z) \ x) * u) * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),w,v5)) = (R(x,y,z) \ x) * (u * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),w,v5))). (L(x,y,z) \ L(R(x,u,w),y,z)) \ v5 = (L(R(x,u,w),y,z) \ L(x,y,z)) * v5. L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = L(T(v5,K(v6,v5)),v6,L(a(x,y,z) \ 1,u,w)). a(x,y,(z \ (u * L(u,u,w))) * v5) = a(x,y,v5 * (z \ a(u \ 1,u,w))). R(x,L(y * z,y,y),y \ z) = a(x,(y \ 1) \ z,y \ z) * x. (R(x,y,z) \ x) * (L(x \ L(x,u,w),y,z) \ 1) = L(R(x,y,z),u,w) \ x. a(x,L(L(y,z,u),w,v5) * (w * v5),v6) = a(x,v5 * (w * R(y,z,u)),v6). ((x \ ((x \ 1) \ (y \ 1))) \ (y \ 1)) * z = z * ((((x \ 1) * (x * y)) \ 1) \ (y \ 1)). a(x,y,(z \ (a(z,z \ 1,u) \ z)) * w) = a(x,y,a(u,z \ 1,z) * w). a(x,y,(L(R(z,u,w),v5,v6) \ v7) * v8) = a(x,y,(L(L(z,u,w),v5,v6) \ v7) * v8). a(x,y,(R(L(z \ u,w,v5),z,z) \ v6) * v7) = a(x,y,(L((1 / z) * u,w,v5) \ v6) * v7). a(x,y,(L(z,u,w) \ v5) * (v6 * (a(v6,v7,R(z,u,w) \ v5) \ v7))) = a(x,y,v6 * (v7 * (R(z,u,w) \ v5))). a(x,y,(L(z * (u * u),w,v5) \ v6) * v7) = a(x,y,(L(z,w,v5) \ v6) * v7). a(x,y,a(z,z \ (L(u,w,z) * z),w)) = a(x,y,(w * L(T(u,z),w,z)) \ (L(u,z,w) * w)). a(x,y,((T(z,u) * w) * v5) \ (w * (T(z,w) * v5))) = a(x,y,a(v5,z,w)). a(x,y,z \ (R(u,w,v5) * v6)) = a(x,y,z \ (L(u,w,v5) * v6)). a(x,y,z \ (u * (w \ L(w \ 1,w,v5)))) = a(x,y,z \ (u * a(w \ 1,w,v5))). a(x,y,z \ (L(u \ w,u,w \ L(v5,v6,v7)) \ L(v5,v6,v7))) = a(x,y,z \ ((w \ R(v5,v6,v7)) * u)). a(x,y,z * ((u \ R(w,v5,v6)) * v7)) = a(x,y,z * ((u \ L(w,v5,v6)) * v7)). a(x,a(y,y,a(y,y,z) * z),L(a(y,y,z) * z,y,y)) = (a(y,y,z) * z) \ (x / (z \ (a(y,y,z) \ x))). x * ((x * R(y,z,u)) \ R(y,z,u)) = x * ((x * L(y,z,u)) \ L(y,z,u)). (L(x,y,y) / (y * x)) \ L(R(x,z,u),y,y) = (1 / y) \ L(R(x,z,u),y,y \ 1). x * (y \ ((y \ 1) \ (x \ 1))) = y * (x / (y * x)). a(x,y,z) * (z \ (a(x,y,z) * (u * ((a(x,y,z) * u) \ w)))) = z \ (u * ((a(x,y,z) \ u) \ w)). a(x,y,L(z,u * L(u * w,w,w),v5)) = a(x,y,L(z,L(w,u * w,u * w),v5)). L(x,y,z) * (K(u,w) * (K(w,u) * (L(L(x,v5,v6),y,z) \ v7))) = R(x,y,z) * (L(R(x,y,z),v5,v6) \ v7). a(x,y,z * ((u * w) \ (u \ w))) = a(x,y,a(u,u,w) * z). L(a(L(a(x,y,z) \ 1,u,w),v5,v6) \ v5,L(a(x,y,z) \ 1,u,w),v6) = L(v5,v6,L(a(x,y,z) \ 1,u,w)). a(x,y,z * (u \ a(w \ 1,w,v5))) = a(x,y,z * (u \ a(v5,w,w))). a(x,y * (z * R(u,w,v5)),v6) = a(x,y * (z * L(u,w,v5)),v6). ((x \ ((x \ 1) \ (y \ 1))) \ (y \ 1)) * z = z * ((x \ ((x \ 1) \ (y \ 1))) \ (y \ 1)). a(x,y,(a(z,z \ 1,u) \ 1) * w) = a(x,y,a(u,z \ 1,z) * w). a(x,y,(L(T(z * (u \ 1),u),w,v5) \ v6) * v7) = a(x,y,(L(L(u \ z,u,u),w,v5) \ v6) * v7). a(x,y,(L(R((z \ 1) \ u,z \ 1,z \ 1),w,v5) \ v6) * v7) = a(x,y,(L((z \ (z \ 1)) \ ((1 / z) * u),w,v5) \ v6) * v7). a(x,y,(L(L(z \ u,z,z),w,v5) \ v6) * v7) = a(x,y,(L((1 / z) * u,w,v5) \ v6) * v7). a(x,y,(L(z,u,w) \ v5) * (v6 * (a(v6,v7,L(z,u,w) \ v5) \ v7))) = a(x,y,v6 * (v7 * (R(z,u,w) \ v5))). a(x,y,(L((z \ (z \ 1)) \ u,w,v5) \ v6) * v7) = a(x,y,(L(u,w,v5) \ v6) * v7). a(x,y,a(z,z \ (L(u,w,z) * z),w)) = a(x,y,(w * L(u,w,z)) \ (L(u,z,w) * w)). a(x,y,((T(z,u) * w) * v5) \ (w * (z * v5))) = a(x,y,a(v5,z,w)). a(x,y,z \ (u * (R(w,v5,v5) * T(v5,v5 \ 1)))) = a(x,y,z \ (L(v5 * w,v5 \ 1,v5) * u)). a(x,y,z \ (L(u,w,w * u) * v5)) = a(x,y,z \ ((w * ((u * w) \ 1)) * v5)). a(x,y,z \ (u * a(w \ 1,w,v5))) = a(x,y,z \ (u * (w * L(w,w,v5)))). a(x,y,z \ T((L(u,w,v5) / v6) * v7,v7 \ v6)) = a(x,y,z \ ((v6 \ R(u,w,v5)) * v7)). a(x,y,z * ((u \ L((w \ 1) \ 1,v5,v6)) * v7)) = a(x,y,(v7 * (u \ (R(w,v5,v6) \ 1))) * z). a(x,a(y,y,a(y,y,z) * z),L(a(y,y,z) * z,y,y)) = (a(y,y,z) * z) \ (((a(y,y,z) \ x) / z) \ x). (x * R(y,z,u)) \ R(y,z,u) = (x * L(y,z,u)) \ L(y,z,u). (L(x,y,y) / (y * x)) \ L(R(x,z,u),y,y) = y * R(x,z,u). (x \ ((x \ 1) \ (y \ 1))) \ (y \ 1) = (x * (y / (x * y))) \ 1. a(x,y,L(z,L(L(u,u,w),R(w,u,u),R(w,u,u)),v5)) = a(x,y,L(z,L(u,w * u,w * u),v5)). R(x,y,z) * (L(R(x,y,z),u,w) \ v5) = L(x,y,z) * (L(L(x,u,w),y,z) \ v5). a(x,y,a(z,z,z * u) * w) = a(x,y,a(z,z,u) * w). L(x,y,L(a(z,u,w) \ 1,v5,v6)) = L(x,y,L(a(z,u,w),v5,v6)). a(x,y,(z \ (u * ((u * w) \ w))) * v5) = a(x,y,v5 * (z \ a(w,u,u))). a(x,L(y,y,z * R(u,w,v5)) * (z * L(u,w,v5)),v6) = a(x,(y \ 1) \ (z * R(u,w,v5)),v6). a(x,y * ((R(z,u,w) \ v5) * L(z,u,w)),v6) = a(x,y * v5,v6). a(x,((y * R(z,u,w)) \ v5) * (y * L(z,u,w)),v6) = a(x,v5,v6). a(x,((y * R(z,u,w)) \ (v5 \ (y * R(z,u,w)))) * (y * L(z,u,w)),v6) = a(x,(T(1 / v5,y * R(z,u,w)) \ 1) \ (y * R(z,u,w)),v6). a(x,y,a(z,u \ 1,u) * w) = a(x,y,a(u,u \ 1,z) * w). a(x,y,(L(L(z \ u,z,z),w,v5) \ v6) * v7) = a(x,y,(L(u * (z \ 1),w,v5) \ v6) * v7). a(x,y,(L((z \ (z \ 1)) \ ((1 / z) * u),w,v5) \ v6) * v7) = a(x,y,(L(R((z \ 1) \ u,z \ 1,z),w,v5) \ v6) * v7). a(x,y,L(L(z,u,w) \ v5,v6,v7) * (v7 * v6)) = a(x,y,v7 * (v6 * (R(z,u,w) \ v5))). a(x,y,a(z,T(L(u,w,z),z),w)) = a(x,y,(w * L(u,w,z)) \ (L(u,z,w) * w)). a(x,y,((z * u) * w) \ (u * (z * w))) = a(x,y,a(w,z,u)). a(x,y,z \ (u * (R(w,v5,v5) * T(v5,v5 \ 1)))) = a(x,y,z \ (u * L(v5 * w,v5,v5))). a(x,y,z \ (L(u,w,w * u) * v5)) = a(x,y,z \ (v5 * (w * (u * w)))). a(x,y,z \ (u * a(w \ 1,w,v5))) = a(x,y,z \ (u * a(v5,w,w))). a(x,y,z \ ((L(u,w,v5) / v6) * v7)) = a(x,y,z \ ((v6 \ R(u,w,v5)) * v7)). a(x,y,(z * (u \ (R(w,v5,v6) \ 1))) * v7) = a(x,y,((u \ L(w,v5,v6)) * z) * v7). a(x,a(y,y,a(y,y,z) * z),L(a(y,y,z) * z,y,y)) = a(z \ (a(y,y,z) \ x),z,a(y,y,z)). ((x * (R(y,z,u) * x)) / x) \ R(y,z,u) = (L(x,y,x) * L(y,z,u)) \ L(y,z,u). (x \ ((x \ 1) \ (y \ 1))) \ (y \ 1) = y \ ((x \ 1) * (x * y)). 1 / (((x \ ((x * y) * z)) / z) \ a(x,y,z)) = L(y,y,y) * a(z \ (x \ ((x * y) * z)),y,y). a(x,y,L(z,L(L(u,u,w),R(w,u,u),L(w,u,u)),v5)) = a(x,y,L(z,L(u,w * u,w * u),v5)). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) \ v5 = L(x,u,w) * (L(L(x,y,z),u,w) \ v5). (L(R(x,y,z),u,w) \ L(x,u,w)) * R(x,y,z) = L(x,y,z) * (L(L(x,u,w),y,z) \ L(x,u,w)). a(x,y,z * a(u,u,u * w)) = a(x,y,a(u,u,w) * z). L(a(x,y,L(a(z,u,w),v5,v6)) \ y,x,L(a(z,u,w),v5,v6)) = L(y,L(a(z,u,w) \ 1,v5,v6),x). a(x,y,(z \ (u * (w \ (u \ w)))) * v5) = a(x,y,v5 * (z \ a(w,u,u))). a(x,L(y,y,z * L(u,w,v5)) * (z * L(u,w,v5)),v6) = a(x,(y \ 1) \ (z * R(u,w,v5)),v6). a(x,y * (L(z,u,w) * (R(z,u,w) \ v5)),v6) = a(x,y * v5,v6). a(x,y * (L(z \ 1,z,z \ R(u,w,v5)) * L(u,w,v5)),v6) = a(x,y * (R(u,w,v5) / z),v6). a(x,((y * R(z,u,w)) \ (v5 \ (y * R(z,u,w)))) * (y * L(z,u,w)),v6) = a(x,(T(1 / v5,y * z) \ 1) \ (y * R(z,u,w)),v6). (a(a(x,y,z),y,y) \ K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,(x * y) \ x)) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. a(x,y,a(z,u \ 1,u) * w) = a(x,y,a(u,u,z) * w). a(x,y,(L((1 / z) * u,w,v5) \ v6) * v7) = a(x,y,(L(u * (z \ 1),w,v5) \ v6) * v7). a(x,y,(L((z \ (z \ 1)) \ ((1 / z) * u),w,v5) \ v6) * v7) = a(x,y,(L(L((z \ 1) \ u,z \ 1,z),w,v5) \ v6) * v7). a(x,y,z * (u * (R(w,v5,v6) \ v7))) = a(x,y,z * (u * (L(w,v5,v6) \ v7))). a(x,y,(z * L(u,z,w)) \ (L(u,w,z) * z)) = a(x,y,a(w,L(u,z,w),z)). a(x,y,(z * (T(u \ z,u) * w)) \ (u * ((u \ z) * ((u \ z) * w)))) = a(x,y,a((u \ z) * w,u \ z,u)). a(x,y,z \ (u * (R(w,v5,v5) * T(v5,v5 \ 1)))) = a(x,y,z \ (u * (v5 \ w))). a(x,y,z \ (L(u,w,w * u) * v5)) = a(x,y,z \ (L(u,w,w) * v5)). a(x,y,z \ (L(u,w \ (u \ w),v5) * (v5 * ((u * w) \ w)))) = a(x,y,z \ (v5 * a(w,u,u))). a(x,y,z \ ((u \ R(w,v5,v6)) * v7)) = a(x,y,z \ ((u \ L(w,v5,v6)) * v7)). a(x,y,((z \ R(u,w,v5)) * v6) * v7) = a(x,y,((z \ L(u,w,v5)) * v6) * v7). a(x \ (a(y,y,x) \ z),x,a(y,y,x)) = a(z,a(y,y,L(x,y,y)),L(a(y,y,x) * x,y,y)). ((x * (R(y,z,u) * x)) / x) \ R(y,z,u) = L(y,z,u) \ (x \ L(y,z,u)). x * ((y \ ((y \ 1) \ (z \ 1))) \ (z \ 1)) = (z \ ((y \ 1) * (y * z))) * x. L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = 1 / (((z \ ((z * x) * y)) / y) \ a(z,x,y)). a(x,y,L(z,L(L(u,u,w),L(w,u,u),L(w,u,u)),v5)) = a(x,y,L(z,L(u,w * u,w * u),v5)). L(x \ 1,x,x \ y) * (L(L(x \ 1,x,x \ y),z,u) \ w) = L(x,x,y) * (L(L(x,z,u),x,y) \ w). (L(R(x,y,z),u,w) \ L(x,u,w)) * R(x,y,z) = L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1). ((x * y) \ (z * y)) \ ((R(T(z / x,x * y),x,y) \ 1) \ u) = T(z / x,x * y) \ ((T(z / x,x * y) \ 1) \ u). T((x * y) \ (z * y),x) \ ((R(T(x \ z,x * y),x,y) \ 1) \ u) = T(x \ z,x * y) \ ((T(x \ z,x * y) \ 1) \ u). ((x * y) / z) \ ((R(x / (z / y),y \ z,y) \ 1) \ u) = (x / (z / y)) \ (((x / (z / y)) \ 1) \ u). L(x,L(a(y,z,u) \ 1,w,v5),v6) = L(x,L(a(y,z,u),w,v5),v6). a(x,y,(z \ a(u,u \ 1,w)) * v5) = a(x,y,v5 * (z \ a(w,u,u))). a(x,(y \ 1) \ (z * R(u,w,v5)),v6) = a(x,(y \ 1) \ (z * L(u,w,v5)),v6). a(x,y * (L(z \ 1,z,z \ L(u,w,v5)) * L(u,w,v5)),v6) = a(x,y * (R(u,w,v5) / z),v6). (a(a(x,y,z),y,y) \ K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y \ 1)) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. a(x,y,((z \ u) \ (u * (1 / z))) * w) = a(x,y,a(z,z,u) * w). a(x,y,(L((z \ (z \ 1)) \ ((1 / z) * u),w,v5) \ v6) * v7) = a(x,y,(L(z * u,w,v5) \ v6) * v7). a(x,y,a(z,z \ u,R(w,v5,v6) \ v7) * ((z \ u) * (L(w,v5,v6) \ v7))) = a(x,y,z \ (u * (R(w,v5,v6) \ v7))). a(x,y,(z * (T(u \ z,u) * w)) \ (u * L(w,u \ z,u \ z))) = a(x,y,a((u \ z) * w,u \ z,u)). a(x,y,z \ (u * R(w * v5,v5 \ 1,v5))) = a(x,y,z \ (u * (v5 \ w))). a(x,y,z \ (u * L(w,v5,v5 * w))) = a(x,y,z \ (L(w,v5,v5) * u)). a(x,y,z \ (L(u,w \ (u \ w),v5) * (v5 * (w \ (u \ w))))) = a(x,y,z \ (v5 * a(w,u,u))). a(x,y,z \ ((u \ L(u,u,w)) * v5)) = a(x,y,z \ (a(u,u,w) * v5)). a(x,y,((z \ L(u,w,v5)) * v6) * a(v7,v7,(z \ L(u,w,v5)) * v6)) = a(x,y,L((z \ R(u,w,v5)) * v6,v7,v7)). a(x \ (a(y,y,x) \ z),x,a(y,y,x)) = a(z,a(y,y,x),L(a(y,y,x) * x,y,y)). R(x,y,z) \ (u \ R(x,y,z)) = L(x,y,z) \ (u \ L(x,y,z)). x * ((y \ ((y \ 1) \ (z \ 1))) \ (z \ 1)) = (y * (z / (y * z))) \ x. L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (a(z,x,y) / ((z \ ((z * x) * y)) / y)) \ 1. a(x,y,z * (((u \ w) * L(v5,v6,v7)) * a(u,u \ w,L(v5,v6,v7)))) = a(x,y,z * (u \ (w * R(v5,v6,v7)))). a(x,y,L(z,L(L(u,u,w),w,w),v5)) = a(x,y,L(z,L(u,w * u,w * u),v5)). L(x,x,y) * (L(L(x,z,u),x,y) \ (x \ L(x,z,u))) = a(y,x,x * L(x,z,u)). T(x / y,y * z) \ ((T(x / y,y * z) \ 1) \ u) = ((y * z) \ (x * z)) \ ((((y * z) \ (x * z)) \ 1) \ u). T((x * y) \ (z * y),x) \ ((T((x * y) \ (z * y),x) \ 1) \ u) = T(x \ z,x * y) \ ((T(x \ z,x * y) \ 1) \ u). ((x * y) / z) \ ((((x * y) / z) \ 1) \ u) = (x / (z / y)) \ (((x / (z / y)) \ 1) \ u). a(x,y,z * (u \ a(w,w \ 1,v5))) = a(x,y,z * (u \ a(v5,w,w))). a(x,y,z \ ((u / (w \ 1)) * (L(u / (w \ 1),w \ 1,w) \ v5))) = a(x,y,z \ ((((w \ 1) \ u) \ v5) * (u * w))). a(x,((y * R(z,u,w)) \ (v5 \ (y * R(z,u,w)))) * (y * L(z,u,w)),v6) = a(x,(T(1 / v5,y * z) \ 1) \ (y * L(z,u,w)),v6). a(x,y * ((L(z,u,w) / v5) * (v5 * T(v5 \ 1,z))),v6) = a(x,y * (R(z,u,w) / v5),v6). (a(a(x,y,z),y,y) \ K(((x \ ((x * y) * z)) / z) / a(x,y,z),y \ 1)) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. a(x,y,((z \ u) \ (u * (z \ 1))) * w) = a(x,y,a(z,z,u) * w). a(x,y,(L((1 / z) * u,w,v5) \ v6) * v7) = a(x,y,(L(z * u,w,v5) \ v6) * v7). a(x,y,a(z,z \ u,L(w,v5,v6) \ v7) * ((z \ u) * (L(w,v5,v6) \ v7))) = a(x,y,z \ (u * (R(w,v5,v6) \ v7))). a(x,y,(z * ((u \ z) * w)) \ (u * L(w,u \ z,u \ z))) = a(x,y,a((u \ z) * w,u \ z,u)). a(x,y,z \ (u * L(w * v5,v5 \ 1,v5))) = a(x,y,z \ (u * (v5 \ w))). a(x,y,z \ (u * ((w \ (v5 \ w)) * v5))) = a(x,y,z \ (u * a(w,v5,v5))). a(x,y,z \ (a(u,u,w) * v5)) = a(x,y,z \ (v5 * a(w,u,u))). a(x,y,L((z \ R(u,w,v5)) * v6,v7,v7)) = a(x,y,L((z \ L(u,w,v5)) * v6,v7,v7)). a(x \ (a(y,y,x) \ z),x,a(y,y,x)) = a(z,a(y,y,x),x). K(x,x \ R(y,z,u)) * (L(y,z,u) \ (x \ L(y,z,u))) = T(R(y,z,u) \ (R(y,z,u) / x),K(x,R(y,z,u))). ((L(x,y,z) \ (u \ L(x,y,z))) * w) * a(R(x,y,z),R(x,y,z) \ (u \ R(x,y,z)),w) = R(x,y,z) \ ((u \ R(x,y,z)) * w). x * (y \ ((z \ 1) * (z * y))) = (z * (y / (z * y))) \ x. (1 / (a(x,y,z) / ((x \ ((x * y) * z)) / z))) * K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,a(x,y,z) / ((x \ ((x * y) * z)) / z)) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,1 / (a(x,y,z) / ((x \ ((x * y) * z)) / z))) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). a(x,y,z * (u \ (w * R(v5,v6,v7)))) = a(x,y,z * (u \ (w * L(v5,v6,v7)))). a(x,y,L(z,L(u,w * u,w * u),v5)) = a(x,y,L(z,(u \ w) * w,v5)). T(x \ y,x * z) \ ((T(x \ y,x * z) \ 1) \ u) = ((x * z) \ (y * z)) \ ((((x * z) \ (y * z)) \ 1) \ u). R(x,L(a(y,z,L(u,z,y)) \ 1,w,v5),v6) = L(x,L(a(y,z,L(u,z,y)),w,v5),v6). a(x,y,z * (u \ (w \ (v5 \ (w \ v5))))) = a(x,y,z * (u \ a(v5,w,w))). a(x,y,z \ ((u / (w \ 1)) * (L(u / (w \ 1),w \ 1,w) \ v5))) = a(x,y,z \ ((u * w) * ((w \ u) \ v5))). a(x,((y * R(z,u,w)) \ (v5 \ (y * R(z,u,w)))) * (y * L(z,u,w)),v6) = a(x,((1 / v5) \ 1) \ (y * L(z,u,w)),v6). a(x,y * ((L(z,u,w) / v5) * K(v5 \ 1,z)),v6) = a(x,y * (R(z,u,w) / v5),v6). R(x,L(y * z,y,y),y \ z) = R(x,(y \ 1) \ z,y \ z). (a(a(x,y,z),y,y) \ K(a(x,y,z) \ ((x \ ((x * y) * z)) / z),y \ 1)) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. a(x,y,(L(z * (u \ 1),w,v5) \ v6) * v7) = a(x,y,(L(u * z,w,v5) \ v6) * v7). a(x,y,z \ (u * (R(w,v5,v6) \ v7))) = a(x,y,z \ (u * (L(w,v5,v6) \ v7))). a(x,y,z \ ((u * w) * (L(u * w,w \ 1,w) \ v5))) = a(x,y,z \ (((u * w) \ v5) * (w \ u))). a(x,y,z \ (a(u,u \ 1,w) * v5)) = a(x,y,z \ (v5 * a(w,u,u))). a(x \ (a(y,y,x) \ z),x,a(y,y,x)) = a(z,x,a(y,y,x)). ((L(x,y,z) \ (u \ L(x,y,z))) * w) * a(R(x,y,z),L(x,y,z) \ (u \ L(x,y,z)),w) = R(x,y,z) \ ((u \ R(x,y,z)) * w). T(R(x,y,z) \ (R(x,y,z) / u),K(u,R(x,y,z))) = K(u,u \ x) * (L(x,y,z) \ (u \ L(x,y,z))). a(x,y,L(((z * (u / (z * u))) \ w) \ v5,v6,v7)) = a(x,y,L(((z * (u / (z * u))) * w) \ v5,v6,v7)). (1 / (a(x,y,z) / ((x \ ((x * y) * z)) / z))) * K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,a(x,y,z) * (z / (x \ ((x * y) * z)))) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,1 * (((x \ ((x * y) * z)) / z) / a(x,y,z))) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). a(x,y,z * (u \ (w * L(w,v5,v5)))) = a(x,y,z * (u \ a(w,v5,v5))). a(x,y,z * ((u \ 1) \ (w * L(v5,v6,v7)))) = a(x,y,(u \ (w * R(v5,v6,v7))) * z). ((x * y) \ (z * y)) \ ((((x * y) \ (z * y)) \ 1) \ u) = (x \ z) \ (((x \ z) \ 1) \ u). L(x,L(a(y,z,L(u,z,y)),w,v5),v6) = R(x,L(a(y,z,u) \ 1,w,v5),v6). a(x,((y * R(z,u,w)) \ (v5 \ (y * R(z,u,w)))) * (y * L(z,u,w)),v6) = a(x,v5 \ (y * L(z,u,w)),v6). a(x,y * (R(z,u,w) / v5),v6) = a(x,y * (L(z,u,w) / v5),v6). R(x * K(y * z,x),(y \ 1) \ z,y \ z) = (L(y * z,y,y) * x) * (L(y * z,y,y) \ 1). (a(a(x,y,z),y,y) \ K(y,y \ 1)) / (a(x,y,z) / ((x \ ((x * y) * z)) / z)) = y. a(x,y,z \ (u * (w \ ((v5 * w) \ w)))) = a(x,y,z \ (u * (L(v5,w,w) \ w))). a(x,y,z \ ((u * (w \ (u \ w))) \ v5)) = a(x,y,z \ (v5 * a(w,u,u))). a(a(x,x,y) \ z,y,a(y,x,x)) = a(z,y,a(x,x,y)). ((L(x,y,z) \ (u \ L(x,y,z))) * w) * a(L(x,y,z),L(x,y,z) \ (u \ L(x,y,z)),w) = R(x,y,z) \ ((u \ R(x,y,z)) * w). T(R(x,y,z) \ (R(x,y,z) / u),K(u,R(x,y,z))) = T(L(x,y,z) \ (L(x,y,z) / u),K(u,x)). (1 / (a(x,y,z) / ((x \ ((x * y) * z)) / z))) * K((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,a(x,y,z) * (z * (((x * y) * z) \ x))) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,1 * (a(x,y,z) \ ((x \ ((x * y) * z)) / z))) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). a(x,y,z * (u \ a(w,v5,v5))) = a(x,y,z * (u \ a(v5,v5,w))). a(x,y,(z \ (u * R(w,v5,v6))) * v7) = a(x,y,(z \ (u * L(w,v5,v6))) * v7). T(x / y,y * z) \ ((T(x / y,y * z) \ 1) \ u) = (y \ x) \ (((y \ x) \ 1) \ u). R(x,L(a(y,z,u) \ 1,w,v5),v6) = L(x,L(a(y,z,u),w,v5),v6). a(x,y \ (z * R(u,w,v5)),v6) = a(x,y \ (z * L(u,w,v5)),v6). a(x,y * (R(z,u,w) / v5),v6) = a(x,y * (v5 \ L(z,u,w)),v6). (L(x * y,x,x) * z) * (L(x * y,x,x) \ 1) = (((x \ 1) \ y) * z) * (((x \ 1) \ y) \ 1). (x \ L(T(x,x \ 1),x,a(y,x,z))) / (a(y,x,z) / ((y \ ((y * x) * z)) / z)) = x. a(x,y,z \ (u * (w \ (w \ (v5 \ w))))) = a(x,y,z \ (u * (L(v5,w,w) \ w))). a(x,y,L(((z * (u \ (z \ u))) * w) \ v5,w,a(z,z,u))) = a(x,y,w \ (v5 * a(u,z,z))). a(x,y,a(z,z,y)) \ x = ((a(z,z,y) \ x) / y) * (y * a(z,z,y)). R(x,y,z) \ (R(x,y,z) / u) = L(x,y,z) \ (L(x,y,z) / u). R(x,y,z) \ ((u \ R(x,y,z)) * w) = L(x,y,z) \ ((u \ L(x,y,z)) * w). L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (1 / (a(z,x,y) / ((z \ ((z * x) * y)) / y))) * K((a(z,x,y) / ((z \ ((z * x) * y)) / y)) \ 1,y * (((z * x) * y) \ z)). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,1 * y) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). a(x,y,(L((z * u) * w,v5,(z * u) * w) \ ((z * u) * L(w,u,z))) * v6) = a(x,y,a(w,u,z) * v6). (x * ((y / z) \ 1)) * T(y / z,y \ z) = R(x,z * (y \ 1),z * y). (x / y) \ (((x / y) \ 1) \ z) = (y \ x) \ (((y \ x) \ 1) \ z). a(x,y \ (K(z,u) * L(w,v5,v6)),v7) = a(x,y \ R(w,v5,v6),v7). a(x,y * (z \ R(u,w,v5)),v6) = a(x,y * (z \ L(u,w,v5)),v6). (((x \ 1) \ y) * z) * (((x \ 1) \ y) \ 1) = ((x * y) * z) * ((x * y) \ 1). (x \ L(x,x,x \ a(y,x,z))) / (a(y,x,z) / ((y \ ((y * x) * z)) / z)) = x. a(x,y,z \ (u * (L(w,v5,v5) \ v5))) = a(x,y,z \ (u * L(w \ v5,v5,v5))). a(x,a(y,y,x),z) * z = ((a(y,y,x) \ z) / x) * (x * a(y,y,x)). L(x \ y,x,x) \ (L(x \ y,x,x) / z) = ((x \ 1) * y) \ (((x \ 1) * y) / z). T((a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1,y) = L(y * a(z \ (x \ ((x * y) * z)),y,y),y,y). L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (1 / (a(z,x,y) / ((z \ ((z * x) * y)) / y))) * K((a(z,x,y) / ((z \ ((z * x) * y)) / y)) \ 1,y * (y \ ((z * x) \ z))). a(x,y,(L((z * u) * w,v5,(z * u) * w) \ (z * (u * w))) * v6) = a(x,y,a(w,u,z) * v6). a(x,y,z \ (((u \ 1) \ w) * (L((u \ 1) \ w,u \ 1,u) \ v5))) = a(x,y,z \ ((w * u) * ((u \ w) \ v5))). (x / (y / z)) \ (((x / (y / z)) \ 1) \ u) = (y \ (x * z)) \ (((y \ (x * z)) \ 1) \ u). a(x,y \ R(z,u,w),v5) = a(x,y \ L(z,u,w),v5). T(((x * y) * z) * ((x * y) \ 1),x * y) = R(z,(x \ 1) \ y,x \ y). K(x,x \ 1) / (a(y,x,z) / ((y \ ((y * x) * z)) / z)) = x. a(x,a(y,y,x),z) * z = (x * a(y,y,x)) * (x \ (a(y,y,x) \ z)). L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = L(1 / x,x,a(z,x,y)) \ 1. L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (1 / (a(z,x,y) / ((z \ ((z * x) * y)) / y))) * K((a(z,x,y) / ((z \ ((z * x) * y)) / y)) \ 1,(z * x) \ z). L(L(a(x,y,z),u,w),L(a(x,y,z),u,w),v5) = a(a(x,y,z),a(x,y,z),v5) * L(a(x,y,z),u,w). a(x,y,(((z * u) * w) \ (z * (u * w))) * v5) = a(x,y,a(w,u,z) * v5). a(x,y,z \ (((u \ 1) \ w) * ((u * w) \ v5))) = a(x,y,z \ ((w * u) * ((u \ w) \ v5))). a(x,(y \ (z * u)) \ (((y \ (z * u)) \ 1) \ w),v5) = a(x,L(w,z / (y / u),z / (y / u)),v5). R(x,(y \ 1) \ z,y \ z) = R(x,y * z,y * z). (x * a(y,y,x)) * (x \ (a(y,y,x) \ z)) = L(z,x,a(x,y,y)). L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (1 / (a(z,x,y) / ((z \ ((z * x) * y)) / y))) * K((a(z,x,y) / ((z \ ((z * x) * y)) / y)) \ 1,x \ 1). L(L(a(x,y,z),u,w),L(a(x,y,z),u,w),v5) = 1 * L(a(x,y,z),u,w). a(x,y,(z \ (u \ ((u * (z * w)) / w))) * v5) = a(x,y,a(w,z,u) * v5). a(x,(K(y,z) * (u * w)) \ (((K(z,y) \ (u * w)) \ 1) \ v5),v6) = a(x,L(v5,u / (K(z,y) / w),u / (K(z,y) / w)),v6). a(x,(y \ 1) \ z,y \ z) = x \ R(x,y * z,y * z). x * (L(x,y,y) \ (a(y,y,x) \ z)) = L(z,x,a(x,y,y)). L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (1 / (a(z,x,y) / ((z \ ((z * x) * y)) / y))) * K(((z \ ((z * x) * y)) / y) / a(z,x,y),x \ 1). L(L(a(x,y,z),u,w),L(a(x,y,z),u,w),v5) = L(a(x,y,z),u,w). (x \ (L(x \ R(x,y,z),u,w) \ R(x,y,z))) \ x = R(x,y,z) * L(R(x,y,z) \ x,u,w). a(x,y,L(L(z,u,w) \ z,z,w * u) * v5) = a(x,y,a(z,u,w) * v5). a(x,y,z * (u \ (w \ ((w * (u * v5)) / v5)))) = a(x,y,a(v5,u,w) * z). a(x,(K(y,z) * (u * w)) \ (((u * w) \ K(z,y)) \ v5),v6) = a(x,L(v5,u / (K(z,y) / w),u / (K(z,y) / w)),v6). a(x,(y \ 1) \ z,y \ z) = a(x,y * z,y * z). (a(x,x,y) \ z) \ L(z,y,a(y,x,x)) = a(x,x,L(y,L(y,x,x),z)). L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (1 / (a(z,x,y) / ((z \ ((z * x) * y)) / y))) * K(a(z,x,y) \ ((z \ ((z * x) * y)) / y),x \ 1). a(x,y,a(z,u,L(w,u,z)) * v5) = a(x,y,a(w,u,z) * v5). a(x,y,z * (u \ (w \ (((w \ 1) * (u * v5)) / v5)))) = a(x,y,a(v5,u,w \ 1) * z). a(x,(y * z) \ (K(u,w) * (((y * z) \ K(u,w)) \ v5)),v6) = a(x,L(v5,y / (K(u,w) / z),y / (K(u,w) / z)),v6). a(x,y,a(z,u \ w,u \ w)) = a(x,y,a(z,u * w,u * w)). a(x,x,L(y,L(y,x,x),z)) = a(x,x,L(y,y,z)). L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = (1 / (a(z,x,y) / ((z \ ((z * x) * y)) / y))) * K(x,x \ 1). a(x,y,z * a(u,w,L(v5,w,u))) = a(x,y,a(v5,w,u) * z). a(x,y,z * (u \ (w \ (((w \ 1) * (u * v5)) / v5)))) = a(x,y,a(v5,u,w) * z). a(x,L(y,z / (K(u,w) / v5),z / (K(u,w) / v5)),v6) = a(x,(z * v5) \ (((z * v5) \ 1) \ y),v6). a(x,y,a(z,z * u,z * u)) = a(x,y,a(z,z \ u,u)). L(L(x,y,y),a(y,y,x),z) = a(y,y,L(x,x,z)) \ x. L(x * a(y \ (z \ ((z * x) * y)),x,x),x,x) = K(x,x \ 1) / (a(z,x,y) / ((z \ ((z * x) * y)) / y)). a(x,y,(L(z * (u \ 1),u,u) \ w) * v5) = a(x,y,((u \ z) \ w) * v5). a(x,y,a(z,u,w) * v5) = a(x,y,v5 * a(w,u,z)). a(x,y,L(a(z \ 1,u,w),a(z,u,w),u) * v5) = a(x,y,a(w,u,z) * v5). a(x,L(y,z / (K(u,w) / v5),z / (K(u,w) / v5)),v6) = a(x,L(y,z * v5,z * v5),v6). a(x,y,a(z,z \ u,u)) = a(x,y,a(z,u * z,u)). K(x,x \ 1) / (a(y,x,z) / ((y \ ((y * x) * z)) / z)) = L(1 / x,x,a(y,x,z)) \ 1. (x \ R(x,y,z)) \ (u * R(T(x \ R(x,y,z),u),w,v5)) = u * ((R(x,y,z) \ x) * R((R(x,y,z) \ x) \ 1,w,v5)). ((R(x,y,z) \ x) * u) * (x \ (R(x,y,z) * L(R(x,y,z) \ x,w,v5))) = (R(x,y,z) \ x) * (u * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),w,v5))). ((L(R(x,y,z),u,w) \ L(x,u,w)) * v5) \ v5 = L(x,u,w) \ L(R(x,y,z),u,w). a(x,y,(L(z * u,z,z) \ w) * v5) = a(x,y,((z \ u) \ w) * v5). a(x,y,a(z \ 1,u,w) * v5) = a(x,y,a(w,u,z) * v5). a(x,L(y,z / (K(u,w) / v5),(v5 \ K(u,w)) \ z),v6) = a(x,L(y,z * v5,z * v5),v6). x * ((R(y,z,u) \ y) * R((R(y,z,u) \ y) \ 1,w,v5)) = (y \ R(y,z,u)) \ (x * R(y \ R(y,z,u),w,v5)). a(x,y,((z \ a(u,z,w)) \ v5) * v6) = a(x,y,((z * a(u,z,w)) \ v5) * v6). a(x,L(y,z / (K(u,w) / v5),(v5 \ 1) \ z),v6) = a(x,L(y,z * v5,z * v5),v6). a(x,y,L(((z * (u / (z * u))) * w) \ v5,a(u,z,z),w)) = a(x,y,(z * (u / (z * u))) * (w \ v5)). a(x,y,z) * ((z \ (u * ((a(x,y,z) * u) \ w))) * a(x,y,z)) = z \ (u * ((a(x,y,z) \ u) \ w)). x * ((R(y,z,u) \ y) * R((R(y,z,u) \ y) \ 1,w,v5)) = (y \ R(y,z,u)) \ (x * L(y \ R(y,z,u),w,v5)). a(x,L(y,(K(z,u) / w) \ v5,(w \ 1) \ v5),v6) = a(x,L(y,v5 * w,v5 * w),v6). a(x,y,L(((z * (u / (z * u))) * w) \ v5,a(u,z,z),w)) = a(x,y,(z * ((z * u) \ u)) * (w \ v5)). x * ((R(y,z,u) \ y) * R((R(y,z,u) \ y) \ 1,w,v5)) = (R(y,z,u) \ y) * (x * L(y \ R(y,z,u),w,v5)). L(L(x,y,z),y,z) \ (u * ((a(z,y,x) * u) \ w)) = x \ (u * ((a(z,y,x) \ u) \ w)). a(x,L(y,(z \ 1) \ u,(z \ 1) \ u),w) = a(x,L(y,u * z,u * z),w). a(x,y,L(((z * (u / (z * u))) * w) \ v5,a(u,z,z),w)) = a(x,y,a(u,z,z) * (w \ v5)). (R(x,y,z) \ x) * (u * L(x \ R(x,y,z),w,v5)) = u * ((R(x,y,z) \ x) * R(x \ R(x,y,z),w,v5)). a(x,L(y,(z \ 1) \ u,z \ u),w) = a(x,L(y,u * z,u * z),w). (R(x,y,z) \ x) * (u * L(x \ R(x,y,z),w,v5)) = u * ((R(x,y,z) \ x) * L(x \ R(x,y,z),w,v5)). a(x,L(y,z \ u,z \ u),w) = a(x,L(y,u * z,u * z),w). (R(x,y,z) \ x) * (u * L(x \ R(x,y,z),w,v5)) = u * (x * (R(x,y,z) \ L(x \ R(x,y,z),w,v5))). a(x,L(((y \ 1) * z) \ u,z * y,z * y),a(w,v5,v6)) = a(x,((y \ 1) * z) * u,a(w,v5,v6)). a(x,y,z \ (((u * w) \ v5) * (u \ w))) = a(x,y,z \ ((w * u) * ((u \ w) \ v5))). K(x,K(y,z)) * (u \ K(z,y)) = u \ K(z,T(y,x)). x * (T(y,K(z,u)) * K(x,K(z,u))) = T(x * y,K(z,u)). x * T(y * K(x,K(z,u)),K(z,u)) = T(x * y,K(z,u)). a(x,y,z * (((K(u,K(w,v5)) * ((v6 \ a(v7,v8,v7)) * v9)) * v10) * v11)) = a(x,y,z * (v11 * (((a(v7,v8,v7) * v9) * (v6 \ K(u,K(w,v5)))) * v10))). x * T((T(x,K(y,z)) * u) \ w,K(y,z)) = T(x * ((x * u) \ w),K(y,z)). a(x,y,z * (K(u,K(w,v5)) * ((((v6 \ a(v7,v8,v7)) * v9) * v10) * v11))) = a(x,y,z * (v11 * (((a(v7,v8,v7) * v9) * (v6 \ K(u,K(w,v5)))) * v10))). T(x,y * T(z,x * u)) = T(x,y * T(z,u)). K(x * K(y,K(z,u)),w) = K(x,w). a(x,y,z * (u * (((a(w,v5,w) * v6) * (v7 \ K(v8,K(v9,v10)))) * v11))) = a(x,y,z * ((((v7 \ a(w,v5,w)) * v6) * v11) * u)). T(x,y * T(z,x * y)) = T(x,z * y). (x * T(y,z * x)) \ (y * (z * x)) = R(T(z,y * x),x,T(y,z * x)). K(T(x,K(y,z)) * u,w) = K(x * u,w). x * K(T(y \ (z \ u),K(w,v5)) * x,(u \ z) * y) = ((u \ (z * y)) \ x) * (u \ (z * y)). x * K(K(y,z) * ((u \ (w \ T(z,y))) * x),(z \ w) * u) = ((z \ (w * u)) \ x) * (z \ (w * u)). ((K(x,y) * ((T(x,y) \ z) * u)) \ w) * (K(x,y) * ((T(x,y) \ z) * u)) = w * K(K(x,y) \ (((T(x,y) \ z) * u) \ w),(x \ z) * u). ((x \ y) \ K(z,u)) * K(x,w) = (T(x,w) \ y) \ K(z,u). K(x * y,z) * (y * K(u,w)) = y * (K(u,w) * K(y * x,z)). x * (K(y,z) * K(u \ K(y,z),u)) = x / (u * (K(z,y) / u)). (T(x,y) \ z) \ K(x \ z,(x \ z) \ 1) = (1 / (x \ z)) * K(x,y). x * (K(y,x) * K(x * y,z)) = T(y * x,z) / y. x / (y * (K(z,u) / y)) = x * ((y \ K(u,z)) * y). K(x,K(y,z * K(u,w))) = K(x,K(y,z)). K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). (T(x,y) \ z) \ K(x \ z,(x \ z) \ 1) = 1 / (T(x,y) \ z). K(x,y) * (z * (1 / (x \ z))) = z * (1 / (T(x,y) \ z)). K(x,K(y,z * (x * u))) = K(x,K(y,z * u)). K(x,y) * (z * (1 / (x \ z))) = T(z * (1 / (x \ z)),y). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = K(z,K(y,x * y)) / (K(z,y) * a(x,z,y)). K(x,T(y,z * u)) * T(z,u) = T(z * K(x,y),u). (x * y) \ T(x * K(z,u),y) = K(z,u) * ((y * x) \ x). x * (K((y \ z) * u,x) * K(x * ((z \ y) \ u),w)) = T(((z \ y) \ u) * x,w) / ((z \ y) \ u). K(x,y) * ((z * (1 / (x \ z))) * L((z * (1 / (x \ z))) \ (K(x,y) \ 1),u,w)) = T(z * (1 / (x \ z)),y) \ L(K(x,y) * (z * (1 / (x \ z))),u,w). x * (K((y \ z) * u,x) * K(x * ((y \ z) * u),w)) = T(((z \ y) \ u) * x,w) / ((z \ y) \ u). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = K(x,K(z,y)) / (K(z,y) * a(x,z,y)). ((x \ (1 / y)) * (y * x)) * ((y \ K(x * y,x \ (y \ 1))) * y) = a(y,x,x \ (1 / y)). (x \ (1 / y)) * ((y * x) * ((y \ K(x * y,x \ (y \ 1))) * y)) = a(y,x,x \ (1 / y)). (x \ (1 / y)) * (y * (x * ((y \ K(x * y,x \ (y \ 1))) * y))) = a(y,x,x \ (1 / y)). T(((x \ y) \ z) * u,w) / ((x \ y) \ z) = T(((y \ x) * z) * u,w) / ((y \ x) * z). (x * (K(y,z) * u)) \ (K(y,z) * u) = (K(y,z) * ((x * u) \ u)) * K(z,y). K(x,y) * ((z * (1 / (x \ z))) * L((z * (1 / (x \ z))) \ K(y,x),u,w)) = T(z * (1 / (x \ z)),y) \ L(K(x,y) * (z * (1 / (x \ z))),u,w). (x * (K(y,z) * u)) \ (K(y,z) * u) = T((x * u) \ u,K(y,z)). ((K(x,y) * ((T(x,y) \ z) * u)) \ w) * (K(x,y) * ((T(x,y) \ z) * u)) = w * K(K(y,x) * (u \ ((T(x,y) \ z) \ w)),(x \ z) * u). (T(x,K(y,z)) * u) \ u = T((x * u) \ u,K(y,z)). x * K(K(y,z) * (u \ ((T(z,y) \ w) \ x)),(z \ w) * u) = (((z \ w) * u) \ x) * (K(z,y) * ((T(z,y) \ w) * u)). K(x,y) * (z * ((1 / (x \ z)) * L((1 / (x \ z)) \ (z \ K(y,x)),u,w))) = T(z * (1 / (x \ z)),y) \ L(K(x,y) * (z * (1 / (x \ z))),u,w). (x \ (1 / y)) * (y * (x * ((y \ K(x * y,x \ (y \ 1))) * y))) = a(y,x,x \ (y \ 1)). x * T(T((x * y) \ y,K(z,u)),K(z,u)) = T(x * ((x * y) \ y),K(z,u)). a(x,y,z * (u * ((a(w,v5,w) * (v6 * (v7 \ K(v8,K(v9,v10))))) * v11))) = a(x,y,z * ((((v7 \ a(w,v5,w)) * v6) * v11) * u)). x * K(K(y,z) * (u \ ((T(z,y) \ w) \ x)),(z \ w) * u) = (((z \ w) * u) \ x) * ((z \ w) * u). K(x,y) * (z * (((x \ z) \ 1) * L(((x \ z) \ 1) \ (z \ K(y,x)),u,w))) = T(z * (1 / (x \ z)),y) \ L(K(x,y) * (z * (1 / (x \ z))),u,w). (x \ (1 / y)) * T((1 / (1 / y)) * x,x \ (y \ 1)) = a(y,x,x \ (y \ 1)). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = (K(x,K(z,y)) / a(x,z,y)) * K(y,z). T(x * ((x * y) \ y),K(z,u)) = x * ((x * y) \ y). a(x,y,z * (u * (a(w,v5,w) * ((v6 * (v7 \ K(v8,K(v9,v10)))) * v11)))) = a(x,y,z * ((((v7 \ a(w,v5,w)) * v6) * v11) * u)). (x * T(y,z * x)) \ (y * (z * x)) = R(T(z,y * x),x,y). x * K(K(y,z) * ((u \ (w \ T(z,y))) * x),(z \ w) * u) = (((z \ w) * u) \ x) * ((z \ w) * u). T(x * (1 / (y \ x)),z) \ L(K(y,z) * (x * (1 / (y \ x))),u,w) = K(y,z) * (x * ((y \ x) * L((y \ x) \ (x \ K(z,y)),u,w))). (x \ (1 / y)) * (L(x \ (1 / y),x,y) \ 1) = a(y,x,x \ (y \ 1)). ((x * ((x * y) \ y)) \ x) \ T(x,x * ((x * y) \ y)) = x * ((x * y) \ y). a(x,y,(z * ((u * (w \ K(v5,K(v6,v7)))) * v8)) * v9) = a(x,y,v9 * ((((w \ a(v10,v11,v10)) * u) * v8) * z)). L(x,y,((z * u) \ (u * (w * z))) \ v5) = L(x,y,R(T(w,u * z),z,u) \ v5). ((x \ (y * z)) \ u) * (x \ (y * z)) = (((x \ y) * z) \ u) * ((x \ y) * z). T(x * (1 / (y \ x)),z) \ L(K(y,z) * (x * (1 / (y \ x))),u,w) = (x * (y \ x)) \ L(x * (y \ x),u,w). L(x \ (1 / y),x,y) \ (x \ (1 / y)) = a(y,x,x \ (y \ 1)). (1 / ((x * y) \ y)) \ T(x,x * ((x * y) \ y)) = x * ((x * y) \ y). a(x,y,z * ((((u \ a(w,v5,w)) * v6) * v7) * v8)) = a(x,y,(v8 * ((v6 * u) * v7)) * z). L(x,y,R(T(z,u * w),w,u) \ v5) = L(x,y,L(z,w,u) \ v5). T(x * (1 / (y \ x)),z) \ L(T(x * (1 / (y \ x)),z),u,w) = (x * (y \ x)) \ L(x * (y \ x),u,w). L(x \ (1 / y),x,y) \ (x \ (1 / y)) = a(y,x,x \ y). (1 / ((x * y) \ y)) \ T(x,R(y,x,x) \ y) = x * ((x * y) \ y). L(x,y,R(z,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). (x * (1 / (y \ x))) \ L(x * (1 / (y \ x)),z,u) = (x * (y \ x)) \ L(x * (y \ x),z,u). (x \ (1 / y)) \ L(x \ (1 / y),x,y) = a(y,x,x \ y) \ 1. (x \ (1 / y)) \ ((y * x) \ K(y,y \ 1)) = a(y,x,x \ y) \ 1. L(L(x,L(y,z,u) \ w,v5) \ x,x,L(y,z,u) \ w) = a(v5,R(y,z,u) \ w,x). L(x,y,L(z,u,w) \ (L(v5,R(z,u,w) \ v6,R(z,u,w)) * v6)) = L(x,y,(R(z,u,w) \ v6) * T(v5,v6)). T(T(((x \ y) * 1) * z,u) / ((x \ y) * 1),x \ y) = T(z * ((y \ x) \ 1),u) / ((y \ x) \ 1). (x * (y \ x)) \ L(x * (y \ x),z,u) = (x \ y) \ (x \ L(y,z,u)). (x \ (y \ 1)) \ L(x \ (y \ 1),x,y) = a(y,x,x \ y) \ 1. (x \ (1 / y)) \ ((y * x) \ K(y,y \ 1)) = a(y,x,y * x) \ 1. a(x,R(y,z,u) \ w,v5) = a(x,L(y,z,u) \ w,v5). L(x,y,L(z,u,w) \ (L(v5,R(z,u,w) \ v6,R(z,u,w)) * v6)) = L(x,y,(R(z,u,w) \ v6) * v5). ((x \ y) * y) \ L((x \ y) * y,z,u) = (y \ x) \ (y \ L(x,z,u)). L((x \ L(x,y,z)) \ (x \ L(L(x,y,z),u,w)),y,z) = x \ L(x,u,w). (x \ (y \ 1)) \ ((y * x) \ 1) = a(y,x,x \ y) \ 1. L(x,y \ (1 / z),(y \ (1 / z)) \ L(y \ (1 / z),y,z)) = x * a(y \ (1 / z),a(z,y,z * y) \ 1,x). L(x,y,L(z,u,w) \ (L(v5,R(z,u,w) \ v6,L(z,u,w)) * v6)) = L(x,y,(R(z,u,w) \ v6) * v5). L((x \ y) * y,z,u) \ ((x \ y) * y) = ((y \ x) \ (y \ L(x,z,u))) \ 1. L(x \ ((x \ L(x,y,z)) \ L(L(x,y,z),u,w)),y,z) = x \ L(x,u,w). ((x * y) \ 1) \ (y \ (x \ 1)) = a(x,y,y \ x). L(x,y \ (1 / z),(y \ (1 / z)) \ L(y \ (1 / z),y,z)) = x * a(y \ (1 / z),a(z,y,z * y),x). L(x,y,L(z,u,w) \ (L(v5,L(z,u,w) \ v6,L(z,u,w)) * v6)) = L(x,y,(R(z,u,w) \ v6) * v5). (((x \ y) \ z) \ u) * ((x \ y) \ z) = (((y \ x) * z) \ u) * ((y \ x) * z). L(x,y,(L(z,u,w) \ v5) * T(v6,v5)) = L(x,y,(R(z,u,w) \ v5) * v6). (1 / ((x * y) \ y)) \ x = x * ((x * y) \ y). L(x,y,(R(z,u,w) \ v5) * v6) = L(x,y,(L(z,u,w) \ v5) * v6). x / (x * ((x * y) \ y)) = 1 / ((x * y) \ y). T(T((x \ y) * z,u) / ((x \ y) * 1),x \ y) = T(z * ((y \ x) \ 1),u) / ((y \ x) \ 1). L(L(x,(L(y,z,u) \ w) * v5,v6) \ x,x,(L(y,z,u) \ w) * v5) = a(v6,(R(y,z,u) \ w) * v5,x). (x * ((x * y) \ y)) * a(1 / ((x * y) \ y),x * ((x * y) \ y),x * ((x * y) \ y)) = 1 / (x \ (1 / ((x * y) \ y))). T(T((x \ y) * z,u) / (x \ y),x \ y) = T(z * ((y \ x) \ 1),u) / ((y \ x) \ 1). a(x,(R(y,z,u) \ w) * v5,v6) = a(x,(L(y,z,u) \ w) * v5,v6). a(x,y,((z * u) \ (u \ (z \ 1))) * w) = a(x,y,w * a(z,u,u \ z)). (x * ((x * y) \ y)) * a(1 / ((x * y) \ y),x * ((x * y) \ y),a(y,x,x)) = 1 / (x \ (1 / ((x * y) \ y))). T(x * ((y \ z) \ 1),u) / ((y \ z) \ 1) = (z \ y) \ T((z \ y) * x,u). (((x \ y) * x) \ z) * ((x \ y) * x) = (T(y,x) \ z) * T(y,x). a(x,(L(T(y,z),u,w) \ v5) * v6,v7) = a(x,v6 * (R(y,u,w) \ v5),v7). a(x,y,((z * u) \ (u \ z)) * w) = a(x,y,w * a(z,u,u \ z)). (x * ((x * y) \ y)) * a(1 / ((x * y) \ y),a(x,x,y),a(y,x,x)) = 1 / (x \ (1 / ((x * y) \ y))). (x \ y) \ T((x \ y) * z,u) = (y \ x) * T((y \ x) \ z,u). ((((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) \ u) * (((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) = (T(z * (x \ 1),y) \ u) * T(z * (x \ 1),y). a(x,y,((z * u) \ (u \ z)) * w) = a(x,y,w * a(z,u,z * u)). (x * ((x * y) \ y)) * a(((x * y) \ y) \ 1,a(x,x,y),a(y,x,x)) = 1 / (x \ (1 / ((x * y) \ y))). ((x \ y) \ 1) * ((z \ (((x \ y) \ 1) \ u)) * z) = z * ((y \ x) * T((y \ x) \ (z \ u),z)). a(x,y,(z * (u \ (z \ u))) * w) = a(x,y,w * a(u,z,u * z)). (x * ((x * y) \ y)) * a((x * y) \ y,a(x,x,y),a(y,x,x)) = 1 / (x \ (1 / ((x * y) \ y))). ((x \ y) \ 1) * ((z \ (((x \ y) \ 1) \ u)) * z) = (y \ x) * ((z \ ((y \ x) \ u)) * z). a(x,y,z * a(u,w,u * w)) = a(x,y,a(u,w,w) * z). 1 / (x \ (1 / ((x * y) \ y))) = (x * ((x * y) \ y)) * 1. (x \ y) \ ((z \ ((x \ y) * u)) * z) = (y \ x) * ((z \ ((y \ x) \ u)) * z). 1 / (x \ (1 / ((x * y) \ y))) = x * ((x * y) \ y). L(x,y \ (1 / z),(y \ (1 / z)) \ L(y \ (1 / z),y,z)) = x * a(y \ (z \ 1),a(z,y,z * y),x). a(x,y,z * ((u * w) * (w \ u))) = a(x,y,a(u,w,w) * z). ((((1 \ x) * ((y \ ((1 \ x) \ z)) * y)) / x) \ u) * (((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) = (T(z * (x \ 1),y) \ u) * T(z * (x \ 1),y). a(x,y * (R(z,u,w) \ v5),v6) = a(x,y * (L(z,u,w) \ v5),v6). (x * ((x * y) \ y)) \ 1 = x \ (1 / ((x * y) \ y)). (((x * ((y \ ((1 \ x) \ z)) * y)) / x) \ u) * (((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) = (T(z * (x \ 1),y) \ u) * T(z * (x \ 1),y). x \ (1 / ((x * (x \ y)) \ (x \ y))) = (x * (y \ (x \ y))) \ 1. a(x,y,a(z,u,u) * L(w,u * z,u \ z)) = a(x,y,(z / u) * ((((u \ z) * u) * u) * w)). (x * (y \ (x \ y))) \ 1 = x \ (1 / (y \ (x \ y))). (x \ y) \ (y * (x \ 1)) = x \ (1 / (y \ (x \ y))). a(x,y,a(z,u,u) * L(w,u * z,u \ z)) = a(x,y,(L(u \ z,u,u) * w) * (z / u)). a(x,y,(z \ (1 / (u \ (z \ u)))) * w) = a(x,y,a(z,z,u) * w). a(x,y,a(z,u,u) * L(w,u * z,u \ z)) = a(x,y,(L(u \ z,u,u) * w) * (u \ z)). a(x,y,(z \ ((u \ (z \ u)) \ 1)) * w) = a(x,y,a(z,z,u) * w). a(x,y,a(z,u,u) * L(w,u * z,u \ z)) = a(x,y,((u \ z) * w) * L(u \ z,u,u)). a(x,y,z * (u \ (w \ (u \ w)))) = a(x,y,a(u,u,w) * z). a(x,y,a(z,u,u) * L(w,u * z,u \ z)) = a(x,y,((u \ z) * w) * (u * z)). L((x \ y) * y,z,u) \ ((x \ y) * y) = (y \ L(x,z,u)) \ (y \ x). L(x \ (x * L(x \ L(x,y,z),u,w)),u,w) = x \ L(x,y,z). (x \ L(y,z,z)) \ (x \ y) = a(z,z,(y \ x) * x). L(L(x \ L(x,y,z),u,w),u,w) = x \ L(x,y,z). (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 * (y * L(z \ L(z,u,w),y,x)) = (x * y) * (z \ L(z,u,w)). L(x \ L(x,y,z),u,w) \ 1 = L((x \ L(x,y,z)) \ 1,u,w). L(L(x,y,z) \ x,u,w) \ 1 = L(x \ L(x,y,z),u,w). (x \ L(x,y,z)) * a(u,w,x * L(x,y,z)) = L(x \ L(x,y,z),w,u). ((x * y) * (z \ L(z,u,w))) \ (x * (y * (z \ L(z,u,w)))) = a(x,y,L(z \ L(z,u,w),y,x)). L(x \ L(x,y,z),u,w) \ 1 = L(L(x,y,z) \ x,u,w). L(1 / L(a(x,y,z),u,w),z,y) = L(z \ L(z,y,x),u,w). L(L(x,y,z) \ x,u,w) \ x = x * L(x \ L(x,y,z),u,w). x \ (y \ (x * ((z \ L(z,u,w)) * T(y,x)))) = L(L(z \ L(z,u,w),x,y),y,x). L(L(x,y,z) \ x,u,w) * (v5 * L(x \ L(x,y,z),u,w)) = (v5 * ((L(x,y,z) \ x) \ 1)) * (L(x,y,z) \ x). L(x,y,z) * a(u,w,x * L(x,y,z)) = x * L(x \ L(x,y,z),w,u). x \ (y \ ((y * (x * (z \ L(z,u,w)))) / (z \ L(z,u,w)))) = a(y,x,L(z \ L(z,u,w),x,y)). a(x,y,z * L(z,u,w)) * (L(z,u,w) \ z) = L(L(z,u,w) \ z,y,x). L(R(x,y,z),u,w) \ R(x,y,z) = L(L(x,u,w) \ x,y,z). L(L(x,y,z),u,w) \ L(x,u,w) = L(L(x,y,z) \ x,u,w). L(L(x,y,z),u,w) \ L(x,y,z) = L(L(x,u,w) \ x,y,z). L(L(x,y,z),u,w) * L(L(x,u,w) \ x,y,z) = L(x,y,z). L(L(x,y,z),u,w) \ (x \ L(x,y,z)) = x \ L(L(x,u,w) \ x,y,z). L(L(x \ R(x,y,z),x,z * y) \ (x \ R(x,y,z)),u,w) = L((x \ R(x,y,z)) \ a(x,y,z),u,w) \ 1. L(x \ L(x,x,y),z,u) \ 1 = L(a(y,x,x),z,u). L(L(x,x \ 1,y) \ x,z,u) = L(a(y,x \ 1,x) \ 1,z,u) \ 1. R(x,y,z) * L(L(x,u,w) \ x,y,z) = L(1 / R(x,y,z),u,w) \ 1. L(x,y,z) * L(L(x,y,z) \ x,u,w) = L(x,u,w) * (L(x \ L(x,u,w),y,z) \ 1). L(L(L(x,y,z) \ x,u,w),u,w) = L(x,y,z) \ x. L(L(x,a(y,z,x),u) \ x,w,v5) = L(a(x,a(y,z,x),u),w,v5) \ 1. L(L(x \ L(x,y,z),u,w),L(x \ L(x,y,z),u,w),v5) = (v5 * L(L(x,y,z) \ x,u,w)) \ v5. (R(x,y,z) \ x) * L(L(x,u,w) \ x,y,z) = L(R(x,y,z),u,w) \ x. (L(R(x,y,z),u,w) \ L(x,u,w)) * R(x,y,z) = L(x,y,z) * L(L(x,y,z) \ x,u,w). L(L(a(x,y,z),u,w) \ 1,z,y) = L(z \ L(z,y,x),u,w). x \ (y \ (x * T(y * (z \ L(z,u,w)),x))) = L(L(z \ L(z,u,w),x,y),y,x). L(L(x,y,z) \ x,u,w) * (v5 * L(x \ L(x,y,z),u,w)) = (v5 * (x \ L(x,y,z))) * (L(x,y,z) \ x). x \ (y \ ((z \ L(z,u,w)) \ (y * (x * (z \ L(z,u,w)))))) = a(y,x,L(z \ L(z,u,w),x,y)). L(L(x,L(L(x,y,z),u,w),v5) \ x,y,z) = a(v5,L(x,y,z),L(L(x,y,z),u,w)). (L(x,y,z) * u) \ R(x,u,u) = u \ L(L(x,y,z) \ x,u,u). a(x,y,L(L(z,z,u),L(z,z,u \ z),y)) = L(L(z,y,x) \ z,z,u \ z). a(x,y,L((z \ u) * u,L(z,u * z,u * z),y)) = L(L(z,y,x) \ z,u * z,u * z). L(L(x,a(x,y,z),u) \ x,w,v5) = a(u,L(x,w,v5),a(x,y,z)). L(L(x,a(y,z,u),w) \ x,v5,v6) = a(w,a(y,z,u),L(x,v5,v6)). L(L(x,L(x,y,z),u) \ x,w,v5) = a(u,L(x,y,z),L(x,w,v5)). a(x,y,L(z,u,w)) \ L(L(z,y,x) \ z,u,w) = a(y,L(z,u,w),a(x,y,L(z,u,w))). L(L(L(x,y,z) \ x,u,w),L(x,u,w),y) = a(z,y,L(x,u,w)). L(L(L(L(x,y,z),x,u) \ L(x,y,z),w,v5),x,L(L(x,y,z),w,v5)) = a(u,x,L(L(x,y,z),w,v5)). x * L(L(L(y,z,u) \ y,w,v5),L(y,w,v5),x) = L(y,w,v5) * (L(L(y,w,v5),z,u) \ x). L(L(x,a(y,z,u),w) \ x,v5,v6) = a(w,a(u,z,y),L(x,v5,v6)). L(L(x \ R(x,y,z),x,z * y) \ (x \ R(x,y,z)),u,w) = L(a(x,a(x,y,z),y * z),u,w) \ 1. L(x,x,y) * (x \ L(L(x,x,y) \ x,z,u)) = a(y,x,x * L(x,z,u)). L(a(x,y,y),z,u) = a(x,y,L(y,z,u)). R(x \ L(x,y,z),u,w) * L((a(z,y,x) \ 1) \ (x \ L(x,y,z)),u,w) = L(1 / R(x \ L(x,y,z),u,w),x,y) \ 1. L(a(x,y \ 1,y) \ 1,z,u) \ 1 = L(a(x,y \ 1,y),z,u). L(x,y,z) * L(L(x,y,z) \ x,u,w) = L(x,u,w) * L(L(x,u,w) \ x,y,z). L(a(x,y,z),z,y) = L(z,y,x) \ z. L(a(x,y,z),z,x * y) = L(z,y,x) \ z. a(x,y,a(z,x,y)) \ a(z,x,y) = L(y,x,z) \ y. a(x,y,z) * a(z,a(x,y,z),y) = L(z,y,x) \ z. L(a(x,y,R(z,u,w) \ v5),L(z,u,w) \ v5,y) = L(R(z,u,w) \ v5,y,x) \ (R(z,u,w) \ v5). L(a(x,y,z \ R(z,u,w)),z \ L(z,u,w),y) = L(z \ R(z,u,w),y,x) \ (z \ R(z,u,w)). L(a(x,y,(z * u) \ ((z * w) * u)),L(w,z,u),y) = L((z * u) \ ((z * w) * u),y,x) \ ((z * u) \ ((z * w) * u)). L(L(a(x,y,z),u,w),z,y) = L(L(z,y,x) \ z,u,w). a(x,y,a(z,u,w)) * (v5 * L(a(z,u,w),w,u)) = (a(x,y,a(z,u,w)) * v5) * (L(w,u,z) \ w). L(a(x,y,z * L(z,u,w)),z \ L(z,u,w),y) = L(z \ L(z,u,w),y,x) \ (z \ L(z,u,w)). L(a(x,y,z * L(u,w,v5)),z * R(u,w,v5),y) = L(z * R(u,w,v5),y,x) \ (z * R(u,w,v5)). L(a(x,y,L(L(y,z,u),w,v5)),y,L(L(y,w,v5),z,u)) = L(y,L(L(y,w,v5),z,u),x) \ y. (((x * (L(x,y,z) \ z)) * u) / (u * (L(x,y,z) \ x))) \ z = L(a(u,x \ L(x,y,z),z),z,x \ L(x,y,z)). (x * L(a(y,z,x),x,z)) \ u = ((x \ u) / x) * L(x,z,y). L(a(x,y,z \ L(u,w,v5)),z \ R(u,w,v5),y) = L(z \ R(u,w,v5),y,x) \ (z \ R(u,w,v5)). a(x,a(y,z,x),z) = a(z,x,a(y,z,x)). a(x,y,z) * (a(x,y,z) * (z \ L(z,y,x))) = L(z,y,x) \ z. x * a(y,x,a(z,y,x)) = L(x,a(z,y,x),y). x * a(y,x,a(z,y,x)) = L(x,a(x,y,z),y). a(x,L(y,z,u),a(w,x,L(y,z,u))) * L(L(y,x,w) \ y,z,u) = a(w,x,L(y,z,u)). (L(x,y,z) \ x) * a(y,x,a(z,y,x)) = a(z,y,x). a(x,y,z) \ (L(z,y,x) \ z) = a(x,y,z) * (z \ L(z,y,x)). L(a(x,y,z \ L(z,u,w)),z \ L(z,u,w),y) = L(z \ R(z,u,w),y,x) \ (z \ R(z,u,w)). L(a(x,y,L(z,u,w) \ v5),L(z,u,w) \ v5,y) = L(R(z,u,w) \ v5,y,x) \ (R(z,u,w) \ v5). L(a(x,y,L(z,u,w)),L(z,u,w),y) = L((u * w) \ ((u * z) * w),y,x) \ ((u * w) \ ((u * z) * w)). L(L(a(x,y,z),u * ((w * w) \ v5),v6),z,y) = L(L(z,y,x) \ z,v5 * ((w * w) \ u),v6). L(L(a(a(x,y,z),u,T(w,u)),v5,v6),T(w,u),u) = L(((u * a(x,y,z)) \ (a(x,y,z) * (w * u))) \ T(w,u),v5,v6). L(L(a(x,y,z),u,w),a(y,z,L(a(x,y,z),u,w)),z) \ L(L(z,y,x) \ z,u,w) = a(y,z,L(a(x,y,z),u,w)) \ 1. a(x,y,L(L(a(z,x,y),u,w),L(a(z,x,y),u,w),y)) = L(L(y,x,z) \ y,u,w) \ L(a(z,x,y),u,w). L(a(x,y,z * L(z,u,w)),z \ L(z,u,w),y) = L(z,u,w) \ (L(z / L(z,u,w),y,x) \ z). L(x,L(L(x,y,z),u,w),v5) \ x = a(v5,x,L(L(x,u,w),y,z)). (a(x,y,a(z,u,w)) * v5) * (L(w,u,z) \ w) = a(x,y,a(z,u,w)) * (v5 * (L(w,u,z) \ w)). (((x * (L(x,y,z) \ z)) * u) / (u * (L(x,y,z) \ x))) \ z = L(a(u,z,x * L(x,y,z)),z,x \ L(x,y,z)). L(a(x,y,z \ L(u,w,v5)),z \ R(u,w,v5),y) = R(u,w,v5) \ (L(z / R(u,w,v5),y,x) \ z). L(a(x,y,z * L(z,u,w)),z \ L(z,u,w),y) = L(z \ R(z,u,w),y,x) \ (z \ R(z,u,w)). L(R(x,y,z) \ u,w,v5) \ (R(x,y,z) \ u) = L(L(x,y,z) \ u,w,v5) \ (L(x,y,z) \ u). L((x * y) \ ((x * z) * y),u,w) \ ((x * y) \ ((x * z) * y)) = L(L(z,x,y),u,w) \ L(z,x,y). L(((x * a(y,z,u)) \ (a(y,z,u) * (w * x))) \ T(w,x),v5,v6) = L(L(a(a(y,z,u),x,w),v5,v6),T(w,x),x). L(a(x,y,z),u,w) \ L(L(z,y,x) \ z,u,w) = a(y,z,L(a(x,y,z),u,w)) \ 1. L(L(x,y,z) \ x,u,w) \ L(a(z,y,x),u,w) = a(y,x,L(a(z,y,x),u,w)). L(a(x,y,z * L(z,u,w)),z \ L(z,u,w),y) = L(z,u,w) \ (L(L(z,u,w) \ z,y,x) \ z). (((x * (L(x,y,z) \ z)) * u) / (u * (L(x,y,z) \ x))) \ z = a(u,z,x * L(x,y,z)). L(R(x,y,z) \ u,w,v5) \ (R(x,y,z) \ u) = u \ (L(L(x,y,z) / u,w,v5) \ L(x,y,z)). L((x * y) \ ((x * z) * y),u,w) \ ((x * y) \ ((x * z) * y)) = L(L(z,u,w) \ z,x,y). a(x,y,L(a(z,x,y),u,w)) * L(L(y,x,z) \ y,u,w) = L(a(z,x,y),u,w). L(a(x,y,z * L(z,u,w)),z \ L(z,u,w),y) = L(z,u,w) \ (z * L(z \ L(z,u,w),y,x)). L(x,y \ L(y,z,x),u) \ x = a(u,x,y * L(y,z,x)). a(x,y,z * L(z,u,y)) \ y = L(y,z \ L(z,u,y),x). L(a(x,a(y,z,x),u),w,v5) \ 1 = L(a(u,x,a(y,z,x)),w,v5). L(L(x \ L(x,y,z),u,w),L(x \ L(x,y,z),u,w),v5) = v5 \ (L(L(x,y,z) \ x,u,w) \ v5). L(x,y \ (1 / z),(y \ (1 / z)) \ L(y \ (1 / z),y,z)) = x * a(y \ z,a(z,y,z * y),x). L(a(x,y,z),u,w) \ 1 = L(a(x,y,z) \ 1,u,w). L(a(x,y,z * L(z,u,w)),z \ L(z,u,w),y) = z * (L(z,u,w) \ L(z \ L(z,u,w),y,x)). x \ (y \ ((y * (z \ L(z,u,w))) * x)) = L(L(z \ L(z,u,w),x,y),y,x). L(L(x,y,z) \ x,u,w) * (v5 * L(x \ L(x,y,z),u,w)) = v5. L(L(x,y,z) \ x,u,w) \ v5 = v5 * L(x \ L(x,y,z),u,w). a(x,y,L(z \ L(z,u,w),y,x)) = a(z \ L(z,u,w),y,x). L(a(x,y,L(L(y,z,u),w,v5)),w,v5) = a(x,L(y,w,v5),L(L(y,w,v5),z,u)). (L(x,y,z) * u) \ R(x,u,u) = (u \ 1) * (L(x,y,z) \ x). ((x * y) * z) \ (L((x * z) / ((x * y) * z),u,w) \ (x * z)) = L(L(y,u,w) \ y,x,z). a(x,y,L(L(z,z,u),L(z,z,u \ z),y)) = L(L(z,y,x) \ z,z,u). L(L(x,y,z) \ x,u * x,u * x) = a(z,y,L((x \ u) * u,(x \ u) * u,y)). L(a(x,y,a(y,z,u)),w,v5) = a(x,L(y,w,v5),a(y,z,u)). L(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),L(w,v5,v6)). L(a(x,y,L(y,z,u)),w,v5) = a(x,L(y,z,u),L(y,w,v5)). L(L(a(x,y,L(y,z,u)),w,v5),y,L(L(y,z,u),w,v5)) = a(x,y,L(L(y,z,u),w,v5)). x * L(L(a(y,z,a(u,w,v5)),v6,v7),L(a(u,w,v5),v6,v7),x) = L(a(u,w,v5),v6,v7) * (L(L(a(u,w,v5),v6,v7),z,y) \ x). L(a(x,a(y,z,u),w),v5,v6) = a(x,a(u,z,y),L(w,v5,v6)). L(a(x,y,z) \ (x \ R(x,y,z)),u,w) = L(a(x,a(x,y,z),y * z),u,w) \ 1. L(x,x,y) * (x \ L(a(y,x,x),z,u)) = a(y,x,x * L(x,z,u)). R(a(x,y,y),z,u) = a(x,y,L(y,z,u)). (x * y) * a(z,u,L(u,y,x)) = x * (y * a(z,u,u)). a(x,y,y) \ a(x,y,L(y,z,u)) = a(a(x,y,y),z,u). L(x,x,y) * (x \ a(y,x,L(x,z,u))) = a(y,x,x) \ L(a(y,x,x),z,u). a(x,y,a(z,u,L(u,w,v5))) = a(x,y,a(u,u,L(z,w,v5))). L(a(x,L(y,z,u) \ y,L(y,z,u) \ y),y,z) = a(x,L(y,z,u) \ y,a(u,z,y)). a(x,y,L(y,z,u)) \ a(x,y,y) = a(u,z,a(x,y,y)). L(x \ L(x,y,z),u,w) * L((a(z,y,x) \ 1) \ (x \ L(x,y,z)),u,w) = L(1 / R(x \ L(x,y,z),u,w),x,y) \ 1. L(a(x,y \ 1,y),z,u) = a(x,y \ 1,L(y,z,u)). a(a(x,y,z),L(z,u,w),v5) \ 1 = L(a(v5,z,a(x,y,z)),u,w). L(x,y \ (1 / z),(y \ (1 / z)) \ L(y \ (1 / z),y,z)) = x * a(y \ z,a(z,y,y),x). a(x,y,a(z,z,u) * ((z \ (u \ (z \ u))) \ (w * (v5 \ (z \ (u \ (z \ u))))))) = a(x,y,(v5 * T(v5 \ w,z \ (u \ (z \ u)))) * (v5 \ (z \ (u \ (z \ u))))). a(x,y,z) \ a(z,a(x,y,z),u) = L(a(x,y,z),z,u) \ 1. x \ (L(a(y,z,u),w,v5) \ x) = L(a(y,z,u) \ 1,w,v5). x \ (y \ ((y * x) * a(z,u,w))) = L(a(z,u,w),x,y). L(a(x,y,z) \ 1,u,w) \ 1 = L(a(x,y,z),u,w). L(a(x,y,z),u * a(x,y,z),w) = L(a(x,y,z),u,w). L(a(x,y,z),x,z * y) = x \ R(x,y,z). x * L(a(y,z,u) \ 1,w,v5) = L(a(y,z,u),w,v5) \ x. L(L(a(x,y,z) \ 1,u,w),u,w) = a(x,y,z) \ 1. L(L(a(x,y,z) \ 1,u,w),x,z * y) = L(x \ R(x,y,z),u,w) \ 1. x * (y * L(a(z,u,w) \ 1,y,x)) = (a(z,u,w) \ 1) * (x * y). ((a(x,y,z) \ 1) \ u) * L(a(x,y,z) \ 1,w,v5) = a(x,y,z) * (L(a(x,y,z),w,v5) \ u). L(a(a(x,y,z),u,w),v5,v6) \ 1 = L(a(w,u,a(x,y,z)),v5,v6). L(a(x,y,z) \ 1,u,w) * v5 = L(a(x,y,z),u,w) \ v5. x \ (y \ (x * (a(z,u,w) \ T(y,x)))) = L(L(a(z,u,w) \ 1,x,y),y,x). L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). (x * L(y \ L(y,z,u),w,v5)) * L(L(y,z,u) \ y,w,v5) = x. (x * L(y \ L(y,z,u),w,v5)) \ x = L(L(y,z,u) \ y,w,v5). L(L(x,y,z) \ x,u,w) \ v5 = L(x \ L(x,y,z),u,w) * v5. L(L(x \ L(x,y,z),u,w),L(x \ L(x,y,z),u,w),v5) = v5 \ (v5 * L(x \ L(x,y,z),u,w)). a(x,y,L(z * L(z,u,w),y,x)) = a(z \ L(z,u,w),y,x). (((x * y) * L((x * y) \ x,z,u)) * w) \ (x * w) = L(L(y,z,u) \ y,x,w). L(L(x,y,z) \ x,u * x,u * x) = L((x \ u) * u,y,z) \ ((x \ u) * u). a(L(x,y,z),u,a(u,w,v5)) = a(x,L(u,y,z),a(u,w,v5)). a(L(x,y,z),a(u,w,v5),v6) = a(x,a(u,w,v5),L(v6,y,z)). L(a(x,y,L(y,z,u)),w,v5) = a(x,y,L(L(y,z,u),w,v5)). a(L(x,y,z),a(u,w,v5),v6) = a(x,a(v5,w,u),L(v6,y,z)). a(x,a(y,z,u),L(w,x,a(y,z,u))) = x \ L(x,a(y,z,u),w). a(x,a(y,z,u),L(w,v5 * a(x,a(y,z,u),w),v5)) \ a(x,a(u,z,y),w) = a(v5,v5 * a(x,a(u,z,y),w),a(x,a(u,z,y),w)). L(x \ (a(x,y,z) \ R(x,y,z)),u,w) = L(a(x,a(x,y,z),y * z),u,w) \ 1. L(x,x,y) * (x \ a(y,x,L(x,z,u))) = a(y,x,x * L(x,z,u)). L(x,x,y) * (x \ a(y,x,L(x,z,u))) = a(y,x,x) \ a(y,x,L(x,z,u)). a(x,y,a(L(z,u,w),v5,v5)) = a(x,y,a(z,v5,L(v5,u,w))). a(x,L(y,z,u) \ y,a(u,z,y)) = L(1,y,z). L(x \ L(x,y,z),u,w) * L(a(z,y,x) * (x \ L(x,y,z)),u,w) = L(1 / R(x \ L(x,y,z),u,w),x,y) \ 1. L(a(x,y,a(z,u,y)),w,v5) = a(x,L(y,w,v5),a(z,u,y)). L(x,y \ (1 / z),y \ ((1 / z) * L((1 / z) \ y,y,z))) = x * a(y \ z,a(z,y,y),x). a(x,a(y,z,x),u) = a(u,x,a(y,z,x)). a(x,y,z) \ a(u,w,a(x,y,z)) = L(a(x,y,z) \ 1,w,u). L(a(x,y,z),u,u \ w) \ w = (a(x,y,z) \ u) * (u \ w). L(a(x,y,z),u,w) \ a(x,y,z) = a(x,y,z) \ L(a(x,y,z),u,w). x \ ((x * y) * a(z,u,w)) = y * L(a(z,u,w),y,x). x \ (y \ (a(z,u,w) * (y * x))) = L(a(z,u,w),x,y). a(x,y,a(z,u,y)) * a(z,u,y) = L(a(z,u,y),y,x). L(L(a(x,y,z),u,w),u,w) = a(x,y,z). L(a(x,y,z),u,u * a(x,y,z)) = u * (((a(x,y,z) \ 1) * u) \ 1). x \ (y \ (x * (T(y,x) * a(z,u,w)))) = L(L(a(z,u,w),x,y),y,x). a(x,y,z) * (u * (w * a(u,w,a(x,y,z)))) = L(a(x,y,z),w,u) * (u * w). L(a(x,y,z),a(x,y,z) * u,w) = L(a(x,y,z),u,w). a(x,a(y,z,u),L(w,v5 * a(x,a(y,z,u),w),v6)) = L(a(x,a(y,z,u),w),v5,v6). L(a(L(x * y,y,y),z,u),(y \ 1) \ x,u * z) = L(x * y,y,y) \ R(L(x * y,y,y),z,u). x * L(y \ (a(z,u,w) \ y),v5,v6) = L(a(z,u,w),v5,v6) \ x. x * L(a(y,z,u) \ K(x,w),v5,v6) = T(L(a(y,z,u),v5,v6) \ x,w). L(R(x,y,z) \ x,x,y * z) = a(x,y,z) \ 1. L(x \ R(x,y,z),u,w) \ 1 = L(R(x,y,z) \ x,u,w). (x \ y) * L(a(z,u,w) \ 1,x \ y,x) = x \ ((a(z,u,w) \ 1) * y). L(a(x,y,z),u,w) * (a(x,y,z) \ v5) = a(x,y,z) * (L(a(x,y,z),u,w) \ v5). L(a(x,y,z),u,w) \ (w * a(u,w,L(a(x,y,z),u,w))) = u \ ((a(x,y,z) \ u) * w). L(a(x,y,z),u,w) \ (w * u) = w * (a(x,y,z) \ u). (L(a(x,y,z),u,w) \ v5) \ (L(a(x,y,z) \ 1,u,w) * (v5 * v6)) = L(v6,v5,L(a(x,y,z) \ 1,u,w)). T((L(a(x,y,z),u,w) \ (v5 * v6)) / (L(a(x,y,z) \ 1,u,w) * v5),v5) = (L(a(x,y,z) \ 1,u,w) * (v6 * v5)) / (L(a(x,y,z) \ 1,u,w) * v5). L(L(a(x,y,z) \ 1,u,w) * R(L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),u,w),v5 * v6) = a(L(a(x,y,z),u,w),v5,v6). R(x * K(y,L(a(z,u,w) \ 1,v5,v6)),y,L(a(z,u,w) \ 1,v5,v6)) = ((x * y) * L(a(z,u,w) \ 1,v5,v6)) / (L(a(z,u,w),v5,v6) \ y). L(L(a(x,y,z),u,w),L(a(x,y,z),u,w),v5) * L(L(a(x,y,z) \ 1,u,w) * a(v5,L(a(x,y,z),u,w),L(a(x,y,z),u,w)),v6,v7) = L(L(a(x,y,z),u,w) \ L(L(a(x,y,z),u,w),v6,v7),L(a(x,y,z),u,w),v5). L(x \ L(x,x \ 1,y),z,u) * w = L(a(y,x \ 1,x),z,u) \ w. x \ (L(a(y,z,x \ u),x \ u,u) \ u) = a(y,z,x \ u) \ (x \ u). x \ (y \ ((a(z,u,w) \ y) * x)) = L(L(a(z,u,w) \ 1,x,y),y,x). x / L(y \ L(y,z,u),w,v5) = x * L(L(y,z,u) \ y,w,v5). (x * (y * (z \ L(z,u,w)))) \ (x * y) = L(L(z,u,w) \ z,y,x). L(L(x \ L(x,y,z),u,w),L(x \ L(x,y,z),u,w),v5) = L(x \ L(x,y,z),u,w). a(x \ L(x,y,z),u,w) = a(w,u,x * L(x,y,z)). a(x \ L(x,y,z),u,w) \ 1 = a(x \ L(x,y,z),u,w). a(x,L(y,z,u),L(y,w,v5)) = a(x,y,L(L(y,z,u),w,v5)). L(x \ L(x,y,z),u,w) * L(a(x,a(z,y,x),y),u,w) = L(1 / R(x \ L(x,y,z),u,w),x,y) \ 1. L(L(x,y,z) \ x,u,w) \ L(a(z,y,L(x,y,z)),u,w) = a(y,L(x,u,w),a(z,y,x)). L(x,y \ (1 / z),y \ ((z \ 1) * L((z \ 1) \ y,y,z))) = x * a(y \ z,a(z,y,y),x). 1 * a(x,y,a(z,u,y)) = a(y,a(z,u,y),x). a(x,a(y,z,x),u) = a(u,x,a(x,z,y)). x * a(y,a(z,u,y),x) = L(x,y,a(z,u,y)). a(x,y,a(z,u,y)) * w = w * a(y,a(z,u,y),x). x * a(y,a(z,u,y),w) = x * a(w,y,a(z,u,y)). a(x,a(x,y,z),u) = a(u,x,a(z,y,x)). x * a(y,x,a(z,u,x)) = L(x,a(z,u,x),y). L(x,y,z) * a(u,a(w,v5,u),v6) = a(v6,u,a(w,v5,u)) * L(x,y,z). x \ (y * a(x,a(z,u,x),w)) = (x \ y) * a(w,x,a(z,u,x)). a(x,y,a(z,u,y)) * y = L(y,a(z,u,y),x). a(x,a(y,z,x),u) * (x \ L(x,w,v5)) = L(x,a(y,z,x),u) \ L(x,w,v5). a(x,y,a(y,z,u)) * w = w * a(y,a(u,z,y),x). x * a(y,a(z,u,y),w) = x * a(w,y,a(y,u,z)). L(a(x,y,a(z,u,y)),w,v5) = a(y,a(y,u,z),L(x,w,v5)). a(x,y,z) \ L(a(x,y,z),u,w) = a(w,u,a(x,y,z)). a(x,y,z) \ a(u,w,a(z,y,x)) = L(a(x,y,z) \ 1,w,u). L(a(x,y,z),u,u \ a(x,y,z)) = u * ((a(x,y,z) \ u) \ 1). a(x,y,z) * a(u,w,a(x,y,z)) = L(a(x,y,z),w,u). L(L(a(x,y,z) \ L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),v5,v6),u) = a(w,u,L(a(x,y,z),v5,v6)). x * (y * L(a(z,u,w),y,x)) = a(z,u,w) * (x * y). L(x \ R(x,y,L(a(z,u,w),y,v5)),x,v5 \ ((v5 * y) * a(z,u,w))) = a(x,y,L(a(z,u,w),y,v5)). L(a(x,y,z),u \ (a(x,y,z) \ w),u) = (u \ (a(x,y,z) \ w)) \ (u \ w). a(x,y,z) * a(u,z,a(z,y,x)) = L(a(x,y,z),z,u). a(x,y,a(z,u,w)) * a(x,y,a(z,u,w)) = 1. L(L(L(x \ R(x,y,z),u,w),u,w),x,z * y) = a(x,y,z). L(a(x,y,L(L(y,z,u),w,v5)),w,v5) = a(x,y,L(y,z,u)). L(a(x,y,z),u,u * a(x,y,z)) = u * ((a(x,y,z) \ u) \ 1). x \ (y \ (x * T(y * a(z,u,w),x))) = L(L(a(z,u,w),x,y),y,x). a(x,y,z) * (u * (w * a(u,w,a(x,y,z)))) = u * (w * a(x,y,z)). L(a(L(x * y,y,y),z,u),(y \ 1) \ x,u * z) = L(x * y,y,y) \ L(R(x * y,z,u),y,y). a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = v5 * (a(x,y,z) \ L(a(x,y,z),u,w)). (x * y) * (z * L(z \ L(z,y,x),u,w)) = z * T(L(a(x,y,z),u,w) \ (x * y),z). L(R(x,y,L(a(z,u,w),y,y)) \ x,x,(1 / y) \ a(z,u,w)) = a(x,y,L(a(z,u,w),y,y)) \ 1. L(R(x,y,z) \ x,u,w) \ 1 = L(x \ R(x,y,z),u,w). (x \ y) * L(a(z,u,w) \ 1,x \ y,x) = x \ (a(z,u,w) \ y). a(x,y,z) \ ((u / z) * (z * a(x,y,z))) = a(x,y,z) * (L(a(x,y,z),z,u) \ u). L(L(a(x,y,z),u,w),w,u) \ w = u \ ((a(x,y,z) \ u) * w). (L(a(x,y,z),u,w) \ w) * a(u,w,L(a(x,y,z),u,w)) = u \ ((a(x,y,z) \ u) * w). (x * (a(y,z,u) \ w)) \ (x * w) = L(a(y,z,u),w,x). (L(a(x,y,z),u,w) \ v5) \ (L(a(x,y,z),u,w) \ (v5 * v6)) = L(v6,v5,L(a(x,y,z) \ 1,u,w)). T((L(a(x,y,z),u,w) \ (v5 * v6)) / (L(a(x,y,z),u,w) \ v5),v5) = (L(a(x,y,z) \ 1,u,w) * (v6 * v5)) / (L(a(x,y,z) \ 1,u,w) * v5). L(L(a(x,y,z) \ 1,u,w) * L(R(a(x,y,z),v5,v6),u,w),L(a(x,y,z),u,w),v5 * v6) = a(L(a(x,y,z),u,w),v5,v6). R(x * K(y,L(a(z,u,w) \ 1,v5,v6)),y,L(a(z,u,w) \ 1,v5,v6)) = (L(a(z,u,w),v5,v6) \ (x * y)) / (L(a(z,u,w),v5,v6) \ y). L(a(x,y,z),u,w) * L(L(a(x,y,z) \ 1,u,w) * a(v5,L(a(x,y,z),u,w),L(a(x,y,z),u,w)),v6,v7) = L(L(a(x,y,z),u,w) \ L(L(a(x,y,z),u,w),v6,v7),L(a(x,y,z),u,w),v5). L(x \ L(x,x \ 1,y),z,u) * w = a(y,x \ 1,L(x,z,u)) \ w. a(x \ L(x,y,z),u,w) = a(w,u,L(x,y,z) \ x). a(x,y,z * L(z,u,w)) * v5 = v5 * a(z \ L(z,u,w),y,x). x * a(y \ L(y,z,u),w,v5) = x * a(v5,w,y * L(y,z,u)). a(x \ L(x,y,z),u,w) * v5 = v5 * a(w,u,x * L(x,y,z)). a(x \ L(x,y,z),u,w) * v5 = a(w,u,x * L(x,y,z)) * v5. a(x,y,z * L(z,u,w)) \ 1 = a(x,y,z * L(z,u,w)). 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). a(x \ L(x,y,z),u,w) \ v5 = a(x \ L(x,y,z),u,w) * v5. L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),L(y,u,w)) = L(1 / R(x \ L(x,y,z),u,w),x,y) \ 1. a(x,L(y,z,u) \ y,a(u,z,y)) = 1. L(L(x,y,z) \ x,u,w) \ L(a(z,y,x),u,w) = a(y,L(x,u,w),a(z,y,x)). L(x,y \ (1 / z),y \ (z * L(z \ y,y,z))) = x * a(y \ z,a(z,y,y),x). x * a(y,a(z,u,y),x) = L(x,y,a(y,u,z)). a(x,a(x,y,z),u) = a(u,x,a(x,y,z)). x * a(y,x,a(x,z,u)) = L(x,a(u,z,x),y). a(x,y,a(y,z,u)) * y = L(y,a(u,z,y),x). a(x,a(x,y,z),z * y) = a(y,x,a(z,y,x)). a(x,a(x,y,z),y * z) = a(y,x,a(z,y,x)). a(x * y,z,a(z,y,x)) = a(z,a(z,y,x),x * y). L(x,a(x,y,z),z * y) = x * a(y,x,a(z,y,x)). x * a(y * z,x,a(x,z,y)) = L(x,a(x,z,y),y * z). a(x,x \ L(x,y,z),z * y) = a(x,a(x,y,z),z * y). x * a(x,x \ L(x,y,z),z * y) = L(x,a(x,y,z),z * y). L(x,y,z) * L(L(x,y,z) \ x,x,z * y) = L(x,a(x,y,z),z * y). L(x,y,z) * a(z,y,x) = L(x,a(x,y,z),z * y). a(x,y,z) \ R(x,y,z) = L(x,a(x,y,z),z * y). L(x,a(x,y,z),z * y) = L(x,a(z,y,x),y). L(x,L(y,z,u),a(y,z,u)) * L(y,a(y,z,u),u * z) = (a(y,z,u) \ 1) * (x * R(y,z,u)). L(x \ L(x,a(x,y,z),z * y),u,w) = L(a(x,a(x,y,z),y * z),u,w) \ 1. x * (R(x,y,z) \ a(x,y,z)) = a(y,x,a(z,y,x)). a(x,y,z) \ a(y,x,a(z,y,x)) = R(x,y,z) \ x. L(x,y,z) * (R(x,u,w) \ a(x,u,w)) = a(u,x,a(w,u,x)) * (x \ L(x,y,z)). L(a(x,y,a(z,x,y)),y \ L(y,x,z),u) \ u = (y \ R(y,x,z)) * (a(y,x,z) \ u). a(x,y,z) \ R(x,y,z) = L(x,a(z,y,x),y). a(x,y,z) * L(x,a(z,y,x),y) = R(x,y,z). L(x,L(y,z,u),a(y,z,u)) * L(y,a(u,z,y),z) = (a(y,z,u) \ 1) * (x * R(y,z,u)). L(x,y,z) * (R(x,u,w) \ a(x,u,w)) = L(x,a(w,u,x),u) \ L(x,y,z). a(x,L(y,y \ L(y,x,z),u),a(z,x,y)) \ u = (y \ R(y,x,z)) * (a(y,x,z) \ u). a(x \ R(x,y,z),x,u) * (x \ R(x,y,z)) = R(x \ R(x,y,z),x,u). a(a(x,y,L(z,u,w)),z,v5) * a(x,y,L(z,u,w)) = R(a(x,y,L(z,u,w)),z,v5). L(x,a(y,z,x),z) * a(x,z,y) = R(x,z,y). L(x,a(y,z,x),z) \ R(x,z,y) = a(x,z,y). a(x,y * (z \ L(u,w,v5)),v6) * L(x,a(v6,y * (z \ R(u,w,v5)),x),y * (z \ R(u,w,v5))) = R(x,y * (z \ R(u,w,v5)),v6). L(x,L(y,z,u),a(y,z,u)) * L(y,a(u,z,y),z) = a(y,z,u) \ (x * R(y,z,u)). a(x,y * (L(z,a(u,w,z),w) \ L(z,w,u)),v5) = a(x,y * a(z,w,u),v5). a(x \ L(x,y,z),x,u) * (x \ R(x,y,z)) = R(x \ R(x,y,z),x,u). a(x,y \ L(y,z,u),a(u,z,y)) = 1. L(a(x,y,z),z \ L(z,y,x),u) = a(x,y,z). a(x,a(y,z,L(x,u,w)),v5) * a(y,z,L(x,u,w)) = R(a(y,z,L(x,u,w)),x,v5). L(L(x,a(y,L(x,z,u),L(x,w,v5)),x),w,v5) \ R(L(x,w,v5),L(x,z,u),y) = a(L(x,w,v5),L(x,z,u),y). L(L(x,a(y,z,x),z) \ x,x,R(x,z,y)) * R(x,z,y) = x * a(x,z,y). L(x,y,z) \ ((L(x,a(z,y,x),y) \ L(x,y,z)) * u) = R(x,y,z) \ (a(x,y,z) * u). a(x,y * (z \ L(u,w,v5)),v6) * L(x,a(v6,y * (z \ L(u,w,v5)),x),y * (z \ R(u,w,v5))) = R(x,y * (z \ R(u,w,v5)),v6). L(x,L(y,z,u),a(y,z,u)) * L(y,a(u,z,y),z) = (a(y,z,u) \ x) * R(y,z,u). a(x,y * (a(z,u,w) \ 1),v5) = a(x,y * a(w,u,z),v5). a(x,a(y,z,L(x,u,w)),v5) * a(y,z,L(x,u,w)) = L(a(y,z,L(x,u,w)),x,v5). L(x,y,z) \ R(L(x,y,z),L(x,u,w),v5) = a(L(x,y,z),L(x,u,w),v5). L(a(x,y,a(z,x,y)),y,R(y,x,z)) * R(y,x,z) = y * a(y,x,z). L(x,y,z) \ ((L(x,a(z,y,x),y) \ L(x,y,z)) * u) = a(x,y,z) * (R(x,y,z) \ u). a(x,y * (z \ L(u,w,v5)),v6) * L(x,a(v6,y * (z \ L(u,w,v5)),x),y * (z \ L(u,w,v5))) = R(x,y * (z \ R(u,w,v5)),v6). a(x,y * a(z,u,w),v5) = a(x,y * a(w,u,z),v5). x * (L(x,y,a(z,u,L(y,w,v5))) \ a(z,u,L(y,w,v5))) = T(L(a(z,u,L(y,w,v5)),y,x),x). L(x,y,z) \ L(R(x,L(x,u,w),v5),y,z) = a(L(x,y,z),L(x,u,w),v5). L(a(x,y,a(z,x,y)),y,L(y,x,z)) * R(y,x,z) = y * a(y,x,z). L(x,y,z) \ ((a(z,y,x) \ 1) * u) = a(x,y,z) * (R(x,y,z) \ u). R(x,y * (z \ R(u,w,v5)),v6) = R(x,y * (z \ L(u,w,v5)),v6). a(x,a(y,z,u) * w,v5) = a(x,w * a(u,z,y),v5). x * (L(x,y,a(z,u,L(y,w,v5))) \ a(z,u,L(y,w,v5))) = L(a(z,u,L(y,w,v5)),y,x). a(L(R(T(x,y),z,x),u,w),L(R(T(x,y),z,x),z,x),v5) = L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),T(x,y),v5),u,w). a(x,y,a(z,x,y)) * R(y,x,z) = y * a(y,x,z). L(x,y,z) \ (a(z,y,x) \ u) = a(x,y,z) * (R(x,y,z) \ u). a(L(R(T(x,y),z,x),u,w),L(R(T(x,y),z,x),z,x),v5) = L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),x,v5),u,w). a(x,y,z) \ (L(z,y,x) \ u) = a(z,y,x) * (R(z,y,x) \ u). L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),x,v5),u,w) = a(L(R(T(x,y),z,x),u,w),T(x,y),v5). a(x,y,z) * (R(x,y,z) \ L(u,L(x,y,z) \ 1,L(x,y,z))) = a(z,y,x) \ ((L(x,y,z) \ 1) * u). a(L(x,y,z),y,z) * (R(L(x,y,z),y,z) \ u) = a(z,y,x) \ (L(L(x,y,z),y,z) \ u). (x \ (1 / (1 / L(x,y,z)))) * a(z,y,x) = (a(x,y,z) * (R(x,y,z) \ 1)) * x. L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),x,v5),u,w) = a(L(R(T(x,y),z,x),u,w),x,v5). a(x,y,z) * (R(x,y,z) \ L(u,L(x,y,z) \ 1,L(x,y,z))) = (L(x,y,z) \ 1) * (a(z,y,x) \ u). a(L(x,y,z),y,z) * (R(L(x,y,z),y,z) \ u) = (x \ u) * a(z,y,x). (x \ (1 / (1 / L(x,y,z)))) * a(z,y,x) = (R(x,y,z) \ a(x,y,z)) * x. L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),x,v5),u,w) = a(L(L(T(x,y),z,x),u,w),x,v5). (L(x,y,z) \ 1) * (a(z,y,x) \ u) = a(x,y,z) * ((R(x,y,z) \ 1) * u). (x \ L(1 / (1 / x),y,z)) * a(z,y,x) = (R(x,y,z) \ a(x,y,z)) * x. L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),x,v5),u,w) = a(L(L(x,z,x),u,w),x,v5). a(x,y,z) * ((R(x,y,z) \ 1) * x) = (x \ a(z,y,x)) * L(x,y,z). L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),x,v5),u,w) = a(L(x,u,w),x,v5). (R(x,y,z) \ a(x,y,z)) * x = (x \ a(z,y,x)) * L(x,y,z). L(R(T(x,y),z,x),u,w) \ L(R(R(T(x,y),z,x),x,v5),u,w) = a(x,L(x,u,w),v5). ((x \ 1) * L(x,y,z)) * a(z,y,x) = (R(x,y,z) \ a(x,y,z)) * x. a(x,y,z) * ((z \ 1) * L(z,y,x)) = (R(z,y,x) \ a(z,y,x)) * z. (x \ 1) * (a(y,z,x) * L(x,z,y)) = (R(x,z,y) \ a(x,z,y)) * x. L(a(x,a(x,y,z),y * z),u,w) \ 1 = L(a(x,a(x,y,z),z * y),u,w). x * a(y * L(y,z,u),x,a(w,v5,x)) = L(x,a(w,v5,x),y \ L(y,z,u)). R(x,a(y,z,x \ L(x,u,w)),v5) * ((x \ L(x,u,w)) * a(v5,x \ L(x,u,w),a(y,z,x \ L(x,u,w)))) = L(R(x,a(y,z,x \ L(x,u,w)),v5),u,w). L((a(x,y,a(z,u,y)) \ 1) \ w,a(x,y,a(z,u,y)) \ 1,L(y,a(z,u,y),x)) = R(y,a(x,y,a(z,u,y)),a(x,y,a(z,u,y))) \ ((y * a(x,y,a(z,u,y))) * w). L(x,a(y,z,x),u) \ (a(u,x,a(y,z,x)) * w) = L(x \ w,x,a(u,x,a(y,z,x))). (x \ y) * a(z,x \ y,a(x,y,x * y)) = L(x \ y,a(x,y,x \ y),z). (R(x,a(y,z,L(x,u,w) \ x),v5) \ x) * ((L(x,u,w) \ x) * a(v5,L(x,u,w) \ x,a(y,z,L(x,u,w) \ x))) = L(R(x,a(y,z,L(x,u,w) \ x),v5),u,w) \ x. (x \ y) * a(z,x,a(u,w,x)) = (x \ y) * a(x,a(u,w,x),z). a(x,y,z) \ L(a(x,y,z),u * R(w,v5,v6),v7) = a(v7,u * L(w,v5,v6),a(x,y,z)). a(x,y,z) * a(u,w,a(z,y,x)) = L(a(x,y,z),w,u). a(x,y,z) * (u / (w * (a(x,y,z) * (w \ (a(x,y,z) \ u))))) = L(a(x,y,z),w \ (a(x,y,z) \ u),w). a(x,y,z) * a(u,a(z,y,x),L(z,w,v5)) = L(a(x,y,z),L(z,w,v5),u). a(x,y,z) * a(u,x,a(z,y,x)) = L(a(x,y,z),x,x \ u). a(a(x,y,z),u,w) = a(w,u,a(x,y,z)). a(x,y,a(z,u,w)) * a(z,u,w) = L(a(z,u,w),y,x). a(x,y,a(z,u,w)) * (a(z,u,w) \ v5) = v5 * L(v5 \ (a(z,u,w) \ v5),y,x). L(a(x,y,z),u,w) \ L(a(v5,v6,a(x,y,z)),u,w) = L(L(a(x,y,z),u,w) \ 1,v6,v5). (L(a(x,y,z),u,w) \ v5) * L(a(v6,v7,a(x,y,z)),u,w) = v5 * L(v5 \ (L(a(x,y,z),u,w) \ v5),v7,v6). (a(x,y,z) / u) \ L(a(x,y,z),w,v5) = (1 / u) \ a(v5,w,a(x,y,z)). (a(x,y,z) \ u) * L(a(x,y,z),w,v5) = u * a(v5,w,a(x,y,z)). L(a(x,y,z),u,u \ a(w,v5,a(x,y,z))) = L(a(x,y,z),u,u). a(x,y,a(z,u,w)) * a(w,u,z) = L(a(w,u,z),y,x). L(a(x,y,z),x,y) = x \ R(x,y,z). a(x,y,a(z,u,w)) \ 1 = a(x,y,a(z,u,w)). L(L(x \ R(x,y,z),u,w),u,w) = x \ R(x,y,z). a(x,L(y,z,u),L(L(y,z,u),w,v5)) = a(x,y,L(y,w,v5)). x \ (y \ ((y * a(z,u,w)) * x)) = L(L(a(z,u,w),x,y),y,x). a(x,y,z) * (L(u,w,a(x,y,z)) * w) = u * (w * a(x,y,z)). L(a((x \ 1) \ y,z,u),(x \ 1) \ y,u * z) = L(y * x,x,x) \ L(R(y * x,z,u),x,x). L(a(x,y,z),u \ w,u) \ (u \ w) = u \ (a(x,y,z) \ w). a(x,y,z) \ ((u / z) * (z * a(x,y,z))) = u * a(u,z,a(x,y,z)). a(x \ L(x,y,z),u,w) * v5 = a(w,u,L(x,y,z) \ x) * v5. a(a(x,y,z) \ L(a(x,y,z),u,w),v5,v6) = a(v6,v5,a(w,u,a(x,y,z))). (L(x,y,z) \ x) * a(x \ L(x,y,z),u,w) = L(L(x,y,z) \ x,u,w). a(x \ L(x,y,z),u,w) * (x \ L(x,y,z)) = L(x \ L(x,y,z),u,w). x \ L(x,x \ L(x,y,z),u) = a(u,x,x * L(x,y,z)). a(x * L(x,y,z),u,a(w,v5,u)) = a(u,a(w,v5,u),x * L(x,y,z)). a(x,y,z * L(z,u,w)) \ v5 = v5 * a(x,y,z * L(z,u,w)). a(x,y,z * L(z,u,w)) \ v5 = a(x,y,z * L(z,u,w)) * v5. x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) = a(x \ L(x,y,z),u,w). L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = L(a(x,a(x,y,z),z * y),u,w). a(x,L(y,z,u),a(w,x,y)) = a(x,y,L(a(w,x,y),z,u)). L(x \ L(x,y,z),u,w) \ a(y,L(x,u,w),a(z,y,x)) = L(a(z,y,x),u,w). L(x,y \ (1 / z),a(z,y,z * y) \ 1) = x * a(y \ z,a(z,y,y),x). R(x,a(y,z,x * L(x,u,w)),v5) * ((x \ L(x,u,w)) * a(v5,x \ L(x,u,w),a(y,z,x \ L(x,u,w)))) = L(R(x,a(y,z,x \ L(x,u,w)),v5),u,w). (L(x,a(y,z,x),u) \ w) * a(u,x,a(y,z,x)) = L(x \ w,x,a(u,x,a(y,z,x))). R(x,a(y,x,a(z,u,x)),a(y,x,a(z,u,x))) \ ((x * a(y,x,a(z,u,x))) * w) = L(w * a(y,x,a(z,u,x)),a(y,x,a(z,u,x)) \ 1,L(x,a(z,u,x),y)). L(a(x,y,z),x,y \ 1) = x \ R(x,y,z). L(x \ R(x,y,z),x,y) = a(x,y,z). x * (y * (y \ R(y,x,z))) = a(y,x,z) * (x * y). L(a(x,y,z),u,x) = L(x \ R(x,y,z),x,y). a(L(x,y,z),y,z) = a(x,y,z). x \ (y * R(y \ x,y,z)) = a(y \ x,y,z). (x * y) * a(y,x,z) = x * R(y,x,z). L(x \ R(x,y,z),x,y) * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w)) = ((x \ R(x,y,z)) \ a(x,y,z)) * L(x \ R(x,y,z),u,w). (x * (y * z)) \ (x * (z * (T(y,z) * (y \ R(y,z,u))))) = L(a(y,z,u),y * z,x). L(R(x,y,z) \ x,x,y) = a(x,y,z) \ 1. (a(x,y,z) * y) \ (y * z) = L(z,y,L(x,y,z)). L(x,y \ (a(z,u,w) \ u),v5) = L(x,y \ (a(w,u,z) * u),v5). a(x,y,z) * (R(L(x,y,z),y,z) \ u) = (x \ u) * a(z,y,x). T(x,y \ ((y * z) * u)) = T(x,z / (w / (u * w))). T((L(x,y,z) / u) * T(L(u,x,x \ L(x,y,z)),w \ ((w * (x \ L(x,y,z))) * x)),(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T((L(x,y,z) / u) * T(L(u,x,x \ L(x,y,z)),w \ ((x \ L(x,y,z)) * (w * x))),(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T((L(x,y,z) / u) * L(T(u,w \ ((x \ L(x,y,z)) * (w * x))),x,x \ L(x,y,z)),(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T((L(x,y,z) / u) * L(T(u,(x \ L(x,y,z)) * x),x,x \ L(x,y,z)),(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T((L(x,y,z) / u) * L(T(u,x),x,x \ L(x,y,z)),(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T(((x \ L(x,y,z)) * (x * T(u,x))) / u,(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T(((x \ L(x,y,z)) * (u * x)) / u,(L(x,y,z) / u) \ (((x \ L(x,y,z)) * (x * u)) / u)) = ((x \ L(x,y,z)) * (x * u)) / u. T(((x \ L(x,y,z)) * (u * x)) / u,L(u,x,x \ L(x,y,z))) = ((x \ L(x,y,z)) * (x * u)) / u. ((x \ L(x,y,z)) * (x * u)) / u = u \ ((x \ L(x,y,z)) * (u * x)). (x * ((x \ L(x,y,z)) * u)) / u = u \ ((x \ L(x,y,z)) * (u * x)). (x \ L(x,y,z)) \ ((x \ ((z * y) \ ((x \ L(x,y,z)) * ((z * y) * x)))) * u) = a(x,y,z) * ((x \ R(x,y,z)) \ u). (x \ L(x,y,z)) \ (L(x \ L(x,y,z),x,z * y) * u) = a(x,y,z) * ((x \ R(x,y,z)) \ u). (x \ L(x,y,z)) * (a(x,y,z) * ((x \ R(x,y,z)) \ u)) = L(x \ L(x,y,z),x,z * y) * u. (x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,u * z) = a(y,z,u) * ((y \ R(y,z,u)) \ x). (a(x,y,z) * ((x \ R(x,y,z)) \ u)) * (x \ L(x,y,z)) = u * L(x \ L(x,y,z),x,z * y). (x \ L(x,y,z)) * (a(x,y,z) * ((x \ R(x,y,z)) \ u)) = (a(z,y,x) \ 1) * u. ((x \ L(x,y,z)) \ u) * L(x \ L(x,y,z),x,z * y) = a(x,y,z) * ((x \ R(x,y,z)) \ u). (a(x,y,z) * ((x \ R(x,y,z)) \ u)) * (x \ L(x,y,z)) = u * (a(z,y,x) \ 1). L(L(x,y,z) \ x,x,z * y) * ((L(x,y,z) \ x) \ u) = a(x,y,z) * ((x \ R(x,y,z)) \ u). (a(x,y,z) * ((R(x,y,z) \ x) * u)) * (x \ L(x,y,z)) = u * (a(z,y,x) \ 1). x \ ((L(y,z,u) \ y) * (L(L(y,z,u) \ y,y,u * z) \ x)) = (a(y,z,u) * ((y \ R(y,z,u)) \ x)) \ x. a(x,y,z) * ((L(z,y,x) \ z) \ u) = a(z,y,x) * ((z \ R(z,y,x)) \ u). (a(x,y,z) * ((R(x,y,z) \ x) * u)) * (x \ L(x,y,z)) = a(z,y,x) \ u. ((L(x,y,z) \ x) \ u) * a(z,y,L(x,y,z)) = a(x,y,z) * ((x \ R(x,y,z)) \ u). a(x,y,z) * ((x \ R(x,y,z)) \ u) = a(z,y,x) * (u * (x \ L(x,y,z))). L(a(x * y,z,a(z,y,x)),z \ L(z,y,x),u) * u = a(z,y,x) * ((z \ R(z,y,x)) \ u). a(x,y,z) * ((R(x,y,z) \ x) * u) = a(z,y,x) * (u * (x \ L(x,y,z))). L(a(x,y,a(z,x,y)),y \ L(y,x,z),u) * u = a(y,x,z) * ((y \ R(y,x,z)) \ u). a(x,y,z) * ((R(x,y,z) \ x) * (u * (L(x,y,z) \ x))) = a(z,y,x) * u. a(x,L(y,y \ L(y,x,z),u),a(z,x,y)) * u = a(y,x,z) * ((y \ R(y,x,z)) \ u). a(x,L(y,y \ L(y,x,z),u),a(z,x,y)) * u = a(y,x,z) * ((R(y,x,z) \ y) * u). (x \ y) * a(z,x \ y,a(x,y,y)) = L(x \ y,a(x,y,x \ y),z). (R(x,a(y,z,x * L(x,u,w)),v5) \ x) * ((L(x,u,w) \ x) * a(v5,L(x,u,w) \ x,a(y,z,L(x,u,w) \ x))) = L(R(x,a(y,z,L(x,u,w) \ x),v5),u,w) \ x. L(a(x,y,z),u * R(w,v5,v6),v7) = L(a(x,y,z),u * L(w,v5,v6),v7). a(x,y,z) \ L(a(x,y,z),u * a(x,y,z),w) = a(w,u,a(z,y,x)). a(a(x,y,z),u,w) = a(w,u,a(z,y,x)). a(x \ y,z,u) * a(y,x \ y,a(u,z,x \ y)) = L(a(x \ y,z,u),x \ y,x). L(a(x,y,z),x,x \ u) = L(a(x,y,z),x,u). a(a(a(x,y,z),u,w),v5,v6) = a(v6,v5,a(a(z,y,x),u,w)). ((x * a(y,z,u)) * (x \ (a(y,z,u) \ w))) \ w = a(a(y,z,u),x,x \ (a(y,z,u) \ w)). a(x,y,a(z,u,w)) * v5 = v5 * a(a(z,u,w),y,x). x * a(a(y,z,u),w,v5) = x * a(v5,w,a(y,z,u)). a(a(x,y,z),u,w) * v5 = v5 * a(w,u,a(x,y,z)). a(a(x,y,z),u,w) * v5 = a(w,u,a(x,y,z)) * v5. a(L(x,x,y),y,a(z,u,w)) = L(x,y,a(z,u,w)) \ x. x * (y * a(a(z,u,w),y,x)) = L(x,y,a(z,u,w)) * y. a(x,y,a(z,u,w)) * v5 = v5 * a(a(w,u,z),y,x). L(x * a(a(y,z,u),x,w),a(u,z,y),w) = L(x,w,a(u,z,y)). L(x * a(y,x,a(z,u,w)),y,a(w,u,z)) = L(x,a(w,u,z),y). a(x,y,a(z,u,w)) \ v5 = v5 * a(x,y,a(z,u,w)). 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) \ 1 = L(a(x,y,a(z,u,w)),v5,v6). a(x \ L(x,y,z),L(x,y,z),a(u,w,v5)) * a(u,w,v5) = L(a(u,w,v5),x,x \ L(x,y,z)). L(L(x,x,y),a(y,x,x),a(z,u,a(y,x,x))) = L(a(y,x,x),u,z) \ (a(z,u,a(y,x,x)) * x). a(x,y * z,a(u,w,v5)) * a(u,w,v5) = L(a(u,w,v5),y * (z \ 1),x). a(x,y \ z,a(u,w,v5)) * a(u,w,v5) = L(a(u,w,v5),(y \ 1) \ z,x). a(x,y \ L(z,u,w),a(v5,v6,v7)) * a(v5,v6,v7) = L(a(v5,v6,v7),y \ R(z,u,w),x). a(x,y,a(z,u,w)) * (a(z,u,w) \ v5) = L(a(z,u,w),y,x) \ v5. L(a(x,y,z),u,w) \ L(a(v5,v6,a(x,y,z)),u,w) = L(L(a(x,y,z) \ 1,u,w),v6,v5). (L(a(x,y,z),u,w) \ v5) * L(a(v6,v7,a(x,y,z)),u,w) = v5 * L(L(a(x,y,z) \ 1,u,w),v7,v6). x \ (L(a(y,z,u),w,v5) \ a(y,z,u)) = ((1 / x) \ a(v5,w,a(y,z,u))) \ 1. L(a(x,y,z),u,w) * (a(x,y,z) \ v5) = v5 * a(w,u,a(x,y,z)). (x * a(y,z,u)) * a(w,v5,a(y,z,u)) = x * L(a(y,z,u),v5,w). L(a(x,y,a(z,u,w)),v5,v6) \ v7 = L(a(x,y,a(z,u,w)),v5,v6) * v7. L((x * y) \ R(x * y,z,u),y,x) = y \ (x \ R(x * y,z,u)). L(x,y,a(z,u,w)) * y = a(z,u,w) * (x * (a(z,u,w) \ y)). L(L(x,y,a(z,u,w)),y,a(z,u,w)) = x. a(x,y,z) * (u * L(u \ w,u,a(x,y,z))) = (w / u) * (u * a(x,y,z)). a(x,y,z) * (L(u,w,a(z,y,x)) * w) = u * (w * a(x,y,z)). (x \ (a(y,z,u) \ w)) \ (x \ w) = L(a(y,z,u),x \ w,x). a(x,y,z) * ((u / z) * (a(x,y,z) \ z)) = u * a(u,z,a(x,y,z)). a(x,y,a(z,u,L(w,w,u))) * v5 = a(w \ L(w,u,z),y,x) * v5. a(x,y,a(z,u,a(x,w,v5))) = 1. (L(x,y,z) \ x) * L(x \ L(x,y,z),u,w) = a(x \ L(x,y,z),u,w). a(x,y,L(a(z \ L(z,u,w),v5,v6),z \ L(z,u,w),z \ L(z,u,w))) = a(x,y,(z \ L(z,u,w)) * L(z \ L(z,u,w),v5,v6)). a(x \ L(x,y,z),u,(w * (v5 * v6)) * v7) * (x \ L(x,y,z)) = L(x \ L(x,y,z),u,(((v6 \ 1) * v5) * w) * v7). (x * (L(x,y,z) \ a(u,w,x * L(x,y,z)))) \ 1 = (x \ L(x,y,z)) * a(u,w,x * L(x,y,z)). L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = L(a(y,x,a(z,y,x)),u,w). a(L(x,y,z),u,a(u,w,v5)) = a(x,a(u,w,v5),L(u,y,z)). L(x,y \ (1 / z),a(z,y,z * y)) = x * a(y \ z,a(z,y,y),x). L(L(x,y,z) \ x,u * (x \ L(x,y,z)),w) = L(L(x,y,z) \ x,u,w). L(x,a(y,z,x * L(x,u,w)),v5) * ((x \ L(x,u,w)) * a(v5,x \ L(x,u,w),a(y,z,x \ L(x,u,w)))) = L(R(x,a(y,z,x \ L(x,u,w)),v5),u,w). R(x,a(y,x,a(z,u,x)),a(y,x,a(z,u,x))) \ ((x * a(y,x,a(z,u,x))) * w) = L(w * a(y,x,a(z,u,x)),a(y,x,a(z,u,x)),L(x,a(z,u,x),y)). (x \ y) * a(z,x \ y,a(x,y,y)) = L(x \ y,a(x,y,x * y),z). (L(x,a(y,z,x * L(x,u,w)),v5) \ x) * ((L(x,u,w) \ x) * a(v5,L(x,u,w) \ x,a(y,z,L(x,u,w) \ x))) = L(R(x,a(y,z,L(x,u,w) \ x),v5),u,w) \ x. a(a(x,y,z),u,w) \ v5 = a(w,u,a(z,y,x)) \ v5. a(x,y,a(z,u,w)) * (v5 * a(x,y,a(z,u,w))) = v5. a(x,y,a(z,u,w)) * (a(x,y,a(w,u,z)) * v5) = v5. ((x / y) * (y * a(z,u,w))) / a(z,u,w) = a(y \ x,y,a(z,u,w)) * x. (a(x,y,a(z,u,w)) * y) * a(z,u,w) = y * L(a(z,u,w),y,x). L(a(a(x,y,z),u,w),v5,v6) = L(a(w,u,a(x,y,z)),v5,v6). a(a(x,y,z),u,w * v5) = a(v5 * w,u,a(z,y,x)). a(a(x,L(y \ 1,z,u),w),v5,v6) = a(v6,v5,a(w,L(y,z,u),x)). a(a(x,y * (z * (u \ 1)),w),v5,v6) = a(v6,v5,a(w,y * (z * u),x)). a(a(x,y,z),u,w) * v5 = a(w,u,a(z,y,x)) * v5. a(a(L(x,x,y),y,z),u,w) = a(w,u,L(x,y,z) \ x). (x * a(y,z,u)) * (x \ (a(y,z,u) \ w)) = a(y,z,u) * (x * ((a(y,z,u) * x) \ w)). a(x,y,a(z,u,w)) * (v5 \ (v5 * v6)) = v6 * a(a(z,u,w),y,x). (x * y) * a(a(z,u,w),x,y) = x * L(y,x,a(z,u,w)). x * a(a(y,a(z,u,y),w),v5,v6) = x * a(v6,v5,a(w,y,a(z,u,y))). (x \ y) * a(z,x \ y,a(x * y,u,w)) = L(x \ y,a(w,u,x * y),z). L(x,y,a(z,u,w)) * y = a(w,u,z) * (x * (a(w,u,z) \ y)). L(L(x,y,a(z,u,w)),y,a(w,u,z)) = x. L(a(x,L(y,x,a(z,u,w)),a(z,u,w)) * L(y,x,a(z,u,w)),a(z,u,w),x) = y. 1 / L(x,y,a(z,u,w)) = L(1 / x,y,a(z,u,w)). L((a(x,y,z) * u) \ w,u,a(x,y,z)) = u \ (a(x,y,z) \ w). L(L(x,a(y,z,u),w),w,a(y,z,u)) = x * a(w,x,a(u,z,y)). L((a(x,y,z) / u) \ 1,u,a(x,y,z)) = a(x,y,z) \ u. L((a(x,y,z) * u) \ w,u,a(z,y,x)) = u \ (a(x,y,z) \ w). L((x * a(y,z,u)) \ w,x,a(y,z,u)) = x \ (a(y,z,u) \ w). a(x,y,z) * (u * L(w,u,a(x,y,z))) = (a(x,y,z) * u) * w. L(x,y,a(z,u,w)) \ x = x \ L(x,y,a(z,u,w)). (a(x,y,z) \ u) * L(w,a(x,y,z) \ u,a(x,y,z)) = a(x,y,z) \ (u * w). L(x,y,a(z,u,w)) * (x \ v5) = x * (L(x,y,a(z,u,w)) \ v5). a(x,y,a(z,u,a(w,v5,x))) = 1. a(a(a(x,y,z),u,w),v5,z) = 1. L(a(x,y,a(z,u,w)),v5,w) = a(x,y,a(z,u,w)). L(x,y,a(a(z,u,x),w,v5)) = x. L(x,y,a(z,u,a(w,v5,x))) = x. L(x,y,a(a(x,z,u),w,v5)) = x. L(x,y,a(z,u,a(x,w,v5))) = x. (x * y) * a(z,u,a(w,v5,x)) = x * (y * a(z,u,a(w,v5,x))). L(L(x,y,z),u,a(a(x,w,v5),v6,v7)) = L(x,y,z). (x * y) * a(z,u,a(x,w,v5)) = x * (y * a(z,u,a(x,w,v5))). a(x,y,a(z,u,w)) * (z * v5) = z * (v5 * a(x,y,a(z,u,w))). (x \ L(x,y,z)) * (a(u,w,a(x,v5,v6)) * x) = a(u,w,a(x,v5,v6)) * L(x,y,z). ((a(x,y,z) \ u) / w) * (w * a(x,y,z)) = a(x,y,z) * (w * ((a(x,y,z) * w) \ u)). (L(x,y,a(z,u,w)) * y) * a(w,u,z) = x * (y * a(w,u,z)). a(x,y,z) * ((u / z) * (a(x,y,z) \ z)) = L(u,z,a(x,y,z)). a(x,y,a(L(z,z,u),u,w)) = a(z \ L(z,u,w),y,x). x * (L(x,y,z) \ a(u,w,x * L(x,y,z))) = L(L(x,y,z) \ x,w,u). L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = a(y,L(x,u,w),a(z,y,x)). ((x * (y * L(y \ 1,z,u))) * w) \ (x * w) = L(L(y,z,u) \ y,x,w). a(x,a(y,z,u),L(y,w,v5)) = a(y,a(u,z,y),L(x,w,v5)). a(L(x,y,z),u,a(w,v5,u)) = a(x,a(u,v5,w),L(u,y,z)). x * a(L(y,z,u),w,a(v5,v6,w)) = x * a(y,a(w,v6,v5),L(w,z,u)). a(x,y,z) * a(u,a(z,y,x),L(z,w,v5)) = L(a(x,y,z),z,L(u,w,v5)). L(x,y \ (1 / z),a(y,y,z)) = x * a(y \ z,a(z,y,y),x). x \ (L(x \ R(x,y,z),u,w) \ R(x,y,z)) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). L(L(x,y,z) \ x,u * (L(x,y,z) \ x),w) = L(L(x,y,z) \ x,u,w). a(x,y,z) * (y * x) = y * R(x,y,z). L(x,a(y,z,x * L(x,u,w)),v5) * ((x \ L(x,u,w)) * a(v5,x \ L(x,u,w),a(y,z,x * L(x,u,w)))) = L(R(x,a(y,z,x \ L(x,u,w)),v5),u,w). L(L(x,y,z),u,w) \ R(L(L(x,y,z),u,w),x,v5) = a(L(L(x,y,z),u,w),x,v5). a(x * (y \ z),y,a(x,y \ z,y)) = z \ (y * R(y \ z,y,a(x,y \ z,y))). (x / y) \ ((x / y) * (y * R(y \ 1,x,z))) = a(x \ (x / y),x,z). a(x,y,((z * u) \ a(u,z,z)) \ w) = a(x,y,(z * R(u,z,z)) \ w). (x * (y * z)) \ (x * (z * (K(y,z) * R(y,z,u)))) = L(a(y,z,u),y * z,x). L(x \ R(x,y,z),x,y) * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w)) = (x * (R(x,y,z) \ a(x,y,z))) * L(x \ R(x,y,z),u,w). L(a(x,y,z) \ 1,x,y) = R(x,y,z) \ x. ((R(x,y,z) \ x) \ (u * (a(x,y,z) \ 1))) * (R(x,y,z) \ x) = T(u,R(x,y,z) \ x) * L(R(x,y,z) \ x,x,y). (L(R(x,y,z) \ x,x,y) \ (R(x,y,z) \ x)) * (u * (R(x,y,z) \ x)) = (((a(x,y,z) \ 1) \ (R(x,y,z) \ x)) * u) * (R(x,y,z) \ x). x \ (y * R(x,y,z)) = T(a(x,y,z) * y,x). L(a(x,y,z),y * x,y * x) = (1 / (y * x)) * (y * R(x,y,z)). L(L(x,y,z),u,w) \ R(L(L(x,y,z),u,w),x,v5) = a(x,L(L(x,y,z),u,w),v5). L(x,y,L(z,y,x)) = L(x,y,z). L(x,y \ (a(z,u,w) * u),v5) = L(x,y \ (u * a(w,u,z)),v5). a(x,y,z) * (L(R(x,y,z),y,z) \ u) = (x \ u) * a(z,y,x). a(x * (y \ z),y,a(x,y \ z,y)) = z \ (y * L(y \ z,y,a(x,y \ z,y))). a(x,y,((z * u) \ a(u,z,z)) \ w) = a(x,y,(z * L(u,z,z)) \ w). (x * (y * z)) \ (x * (z * R(T(y,z),z,u))) = L(a(y,z,u),y * z,x). L(x \ R(x,y,z),x,y) * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w)) = a(y,x,a(z,y,x)) * L(x \ R(x,y,z),u,w). L(L(a(x,y,z) \ 1,u,w),x,y) = L(R(x,y,z) \ x,u,w). ((R(x,y,z) \ x) \ (a(x,y,z) \ u)) * (R(x,y,z) \ x) = T(u,R(x,y,z) \ x) * L(R(x,y,z) \ x,x,y). (L(R(x,y,z) \ x,x,y) \ (R(x,y,z) \ x)) * (u * (R(x,y,z) \ x)) = ((a(x,y,z) * (R(x,y,z) \ x)) * u) * (R(x,y,z) \ x). L(x,y,(x * y) \ z) = L(x,y,y \ (x \ z)). L(x,x \ 1,(x \ 1) \ y) = L(x,x \ 1,x * y). x * (L(x,y,z) \ (z * y)) = R(z,y,x) * y. L(x,y,y \ R(y,x,z)) = L(x,y,a(y,x,z)). a(a(x,y,z) * L(R(x,y,z),y,z),a(u,w,v5),v6) = a((x \ 1) * a(z,y,x),a(u,w,v5),v6). (x \ y) * a(z,x \ y,a(x,y,y)) = L(x \ y,a(x,y,y),z). a(x,a(y,z,u * L(u,w,v5)),u) * ((L(u,w,v5) \ u) * a(x,L(u,w,v5) \ u,a(y,z,L(u,w,v5) \ u))) = L(R(u,a(y,z,L(u,w,v5) \ u),x),w,v5) \ u. (a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1 = a(y,y,a(z,y,x)) * y. a(x,y,z) \ ((u / w) * (w * a(x,y,z))) = a(w \ u,w,a(x,y,z)) * u. L(x,a(y,z,x),u) * a(x,z,y) = x * L(a(x,z,y),x,u). a(a(L(x,x,y),y,z),u,w) = a(w,u,x * L(x,y,z)). a(x,y,z) * ((u * w) * L(L(w \ 1,w,u),u * w,a(x,y,z))) = ((u * w) * a(x,y,z)) * ((u * w) \ (a(x,y,z) \ (a(x,y,z) * u))). a(x,y,a(z,u,w)) * (a(v5,v6,L(v7,v8,v9)) \ (a(v5,v6,v7) * a(v5,v6,v7))) = a(v5,v6,L(v7,v8,v9)) * a(a(z,u,w),y,x). (x \ L(x,y,z)) * a(u,x * L(x,y,z),a(x * L(x,y,z),w,v5)) = L(x \ L(x,y,z),a(v5,w,x * L(x,y,z)),u). L(L(x,a(y,z,u),w),w,a(u,z,y)) = x * a(a(y,z,u),x,w). a(x,y,z) * (u * L(w,u,a(z,y,x))) = (a(x,y,z) * u) * w. L(x,y,a(z,u,w)) \ x = x \ L(x,y,a(w,u,z)). L(L(x,y,a(z,u,w)) * a(a(z,u,w),L(x,y,a(z,u,w)),y),a(z,u,w),y) = x. L(1 / x,y,a(z,u,w)) \ 1 = L(x,y,a(z,u,w)). L(L(x,y,a(z,u,w)),a(z,u,w),y) = x * a(y,x,a(w,u,z)). (x * a(y,x,a(z,u,w))) * (L(x * a(y,x,a(z,u,w)),y,a(w,u,z)) \ (x * a(y,x,a(z,u,w)))) = L(x,a(w,u,z),y). L(x,a(y,z,u),w) \ (x * a(w,x,a(u,z,y))) = L(x \ L(x,w,a(y,z,u)),a(y,z,u),w). L((a(x,y,z) / (u / w)) \ 1,w \ u,a(x,y,z)) = a(x,y,z) \ (u / w). x * L(((x * x) * a(y,z,u)) \ w,x * x,a(y,z,u)) = x \ L(a(y,z,u) \ w,x,x). a(L(x,x,y),y,a(z,u,w)) = x \ L(x,y,a(z,u,w)). L(x,a(y,z,u) \ w,a(y,z,u)) = L(x,w,a(y,z,u)). ((a(x,y,z) \ u) / z) * (z * a(x,y,z)) = L(u,z,a(x,y,z)). (a(x,y,z) * u) * a(w,v5,z * L(z,y,x)) = a(x,y,z) * (u * a(w,v5,z * L(z,y,x))). L(x / y,y,a(y,z,u)) * y = L(x,y,a(u,z,y)). a(x,y,z) * (u * (a(x,y,z) \ z)) = L(u * z,z,a(x,y,z)). a(x,y,z \ ((R(u,u,z) \ ((u \ ((u * u) * z)) * w)) / w)) = a(u \ L(u,z,w),y,x). x * (L(x,y,z) \ a(x \ L(x,y,z),u,w)) = L(L(x,y,z) \ x,u,w). ((x * (y \ L(y,z,u))) * w) \ (x * w) = L(L(y,z,u) \ y,x,w). a(x,L(y,z,u),a(w,v5,y)) = a(y,a(w,v5,y),L(x,z,u)). a(L(x,y,z),u,a(w,v5,u)) = a(x,L(u,y,z),a(w,v5,u)). x * a(L(y,z,u),a(w,v5,v6),v6) = x * a(y,a(v6,v5,w),L(v6,z,u)). L(a(x,y,z),L(z,u,w),v5) = L(a(x,y,z),z,L(v5,u,w)). L(x,y \ (z \ 1),a(y,y,z)) = x * a(y \ z,a(z,y,y),x). (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) \ x = R(x,y,z) * L(R(x,y,z) \ x,u,w). L(L(L(x,y,z),u,w) \ L(x,y,z),L(L(x,y,z),u,w) * (L(L(x,y,z),u,w) \ L(x,y,z)),z * y) = ((z * y) * L(L(x,y,z),u,w)) \ (z * (y * x)). L(x * y,y,y) \ L(R(x * y,z,u),y,y) = ((y \ 1) \ x) \ R((y \ 1) \ x,z,u). a(x \ y,a(x,y,y),z) = a(z,x \ y,a(x,y,y)). a(x,a(y,z,u * L(u,w,v5)),u) * ((L(u,w,v5) \ u) * a(x,L(u,w,v5) \ u,a(y,z,u * L(u,w,v5)))) = L(R(u,a(y,z,L(u,w,v5) \ u),x),w,v5) \ u. x \ L(L(x,a(y,z,u),w),w,a(y,z,u)) = a(a(y,z,u),x,w). x \ L(L(x,y,a(z,u,w)),a(w,u,z),y) = a(a(w,u,z),x,y). (a(x,y,z) * (a(z,y,x) \ u)) * w = a(x,y,z) * (a(z,y,x) \ (u * w)). L(L(x,a(y,z,u),w),a(y,z,u),w) = x. K(x,x \ 1) / (a(y,x,z) / ((y \ ((y * x) * z)) / z)) = L(x,x,a(y,x,z)). L((a(x,y,z) / (1 / u)) \ 1,u,a(x,y,z)) = a(x,y,z) \ (1 / u). x * L(a(y,z,u) \ ((x * x) \ w),x * x,a(y,z,u)) = x \ L(a(y,z,u) \ w,x,x). L(x,a(y,z,u) \ w,a(u,z,y)) = L(x,w,a(y,z,u)). L(x,L(y \ 1,y,a(z,u,w)),a(z,u,w)) = L(x,y \ a(z,u,w),a(z,u,w)). L(x,y * a(z,u,w),a(z,u,w)) = L(x,y,a(z,u,w)). L(x,a(y,z,u) * w,a(y,z,u)) = L(x,w,a(y,z,u)). ((x / a(y,z,u)) / u) * (u * a(y,z,u)) = L(x,u,a(y,z,u)). a(x,L(y,z,x),a(u,w,y)) = a(y,a(u,w,y),x). a(x,a(x,y,z),L(u,w,v5)) \ v6 = v6 * a(u,a(x,y,z),L(x,w,v5)). L(a(x,y,L(z,u,w)),L(z,u,w),L(v5,u,w)) = L(a(x,y,L(z,u,w)),z,v5). L(a(x,y,z \ u),z \ u,L(w,z,z)) = L(a(x,y,z \ u),(z \ 1) * u,w). L(a(x,y,z),z,L(u,w,z)) = L(a(x,y,z),z,u). R(L(a(x,y,z),z,L(u,w,v5)),v6,v7) = L(R(a(x,y,z),v6,v7),L(z,w,v5),u). L(L(a(x,y,z),z,L(u,w,v5)),z,y) = L(L(z,y,x) \ z,L(z,w,v5),u). x * a(y \ z,a(z,y,y),x) = L(x,y \ z,a(y,y,z)). L(x \ L(x,y,z),u,w) \ v5 = v5 * L(L(x,y,z) \ x,u,w). L(L(x \ L(x,y,z),u,w),v5,v6) \ L(x \ L(x,y,z),u,w) = a(v6,v5,L(x \ L(x,y,z),u,w)). ((x \ R(x,y,z)) * (a(x,y,z) \ u)) * (R(x,y,z) \ x) = T(u,R(x,y,z) \ x) * L(R(x,y,z) \ x,x,y). (L(R(x,y,z) \ x,x,y) \ (R(x,y,z) \ x)) * (u * (R(x,y,z) \ x)) = ((x * (R(x,y,z) \ a(x,y,z))) * u) * (R(x,y,z) \ x). L(x,y,(y * x) \ z) = L(x,y,y \ (x \ z)). x / L(y,z,z \ (y \ x)) = (x / (z * y)) * z. a(x,y,L(L(z,u,u \ (z \ w)),L(z,u,(z * u) \ w),w)) = a(x,y,w \ (u * ((z * u) \ w))). ((x / (y * z)) * y) * L(L(z,y,y \ (z \ x)),u,w) = (L(z,u,w) * y) * ((z * y) \ x). L(x,x \ 1,x * y) = y \ (y / (1 / x)). L(x,y,z) * (R(z,y,x) * y) = x * (z * y). L(x,y,y \ L(y,x,z)) = L(x,y,a(y,x,z)). x * a(a(y,z,a(x,u,w)),x,v5) = L(x,a(a(x,u,w),z,y),v5). x \ (y * a(z,u,a(x,w,v5))) = (x \ y) * a(z,u,a(x,w,v5)). (x * (y * a(z,u,a(x,w,v5)))) \ ((x * a(z,u,a(x,w,v5))) * y) = a(a(z,u,a(x,w,v5)),x,y). x * (a(y,z,a(x,u,w)) * (x \ L(x,v5,v6))) = a(y,z,a(x,u,w)) * L(x,v5,v6). (x / y) * R(y,x,z) = a(y,x,z) * x. L(L(x,y,z),u,w) \ L(R(L(x,y,z),x,v5),u,w) = a(x,L(L(x,y,z),u,w),v5). a(x,y,((z * u) \ a(u,z,z)) \ w) = a(x,y,(z \ u) \ w). (x * (y * z)) \ (x * (R(y,z,u) * z)) = L(a(y,z,u),y * z,x). a(x,y,z) * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w)) = a(y,x,a(z,y,x)) * L(x \ R(x,y,z),u,w). a(x,a(y,z,u * L(u,w,v5)),u) * ((L(u,w,v5) \ u) * a(x,u \ L(u,w,v5),a(y,z,u * L(u,w,v5)))) = L(R(u,a(y,z,L(u,w,v5) \ u),x),w,v5) \ u. L(x,x,a(y,x,z)) = (a(z,x,y) / ((z \ ((z * x) * y)) / y)) \ 1. a(x,y,y) \ L(a(x,y,y),R(x,y,y),z) = a(z,x,a(y,y,x)). a(x,y,z) * ((u * w) * L(L(w \ 1,w,u),u * w,a(x,y,z))) = ((u * w) * a(x,y,z)) * ((u * w) \ u). a(L(x,y,z),x * L(x,y,z),a(u,w,v5)) * a(u,w,v5) = L(a(u,w,v5),x,x \ L(x,y,z)). L(L(x,x,y),a(y,x,x),a(z,u,a(y,x,x))) = a(y,x,L(x,u,z)) \ (a(z,u,a(y,x,x)) * x). L(a(x,y,z),u * (w \ 1),v5) = L(a(x,y,z),u * w,v5). L(a(x,y,z),(u \ 1) \ w,v5) = L(a(x,y,z),u \ w,v5). L(a(x,y,z),u \ R(w,v5,v6),v7) = L(a(x,y,z),u \ L(w,v5,v6),v7). a(x,y,a(z,u,w)) * ((a(v5,v6,L(v7,v8,v9)) \ a(v5,v6,v7)) * a(v5,v6,v7)) = a(v5,v6,L(v7,v8,v9)) * a(a(z,u,w),y,x). L(L(x,y,a(z,u,L(w,w,u))),a(z,u,L(w,w,u)),y) = x * a(y,x,u \ ((R(w,w,u) \ ((w \ ((w * w) * u)) * z)) / z)). (x * a(y,x,a(z,u,w))) * (L(x,a(w,u,z),y) \ (x * a(y,x,a(z,u,w)))) = L(x,a(w,u,z),y). a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = 1. L(L(x,a(y,z,u),w),a(u,z,y),w) = x. L(x,a(y,z,u),w) * (x \ v5) = x * (L(x,a(y,z,u),w) \ v5). (x / y) * L(y,a(z,u,w),v5) = y * (L(y,a(z,u,w),v5) \ x). L(x,x,a(y,x,z)) = x. x * (a(y,z,u) \ ((x * x) \ w)) = x \ L(a(y,z,u) \ w,x,x). L(x,a(y,z,u) * w,a(u,z,y)) = L(x,w,a(y,z,u)). L(x,L(y,y,a(z,u,w)),a(z,u,w)) = L(x,y \ a(z,u,w),a(z,u,w)). L(x \ L(x,y,a(z,u,w)),x,y) = a(x,y * a(z,u,w),a(z,u,w)). ((x / a(y,z,u)) / u) * (u * a(y,z,u)) = x * a(x,u,a(y,z,u)). L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = a(y,x,L(a(z,y,x),u,w)). a(x,a(y,x,z),L(y,u,w)) = a(x,y,L(a(z,x,y),u,w)). L(x \ L(x,y,z),u,y) \ a(x,a(z,y,x),y) = L(a(z,y,x),u,y). x * a(y * z,a(z,z,y),x) = L(x,z \ y,a(z,z,y)). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = ((L(x \ L(x,u,w),v5,v6) \ (v7 * L(L(x,u,w) \ x,v5,v6))) * a(x,y,z)) * L(x \ L(x,u,w),v5,v6). x * L(y \ L(y,y \ 1,z),u,w) = a(z,y \ 1,L(y,u,w)) \ x. L(L(x \ L(x,y,z),u,w),v5,v6) \ L(x \ L(x,y,z),u,w) = a(v6,v5,L(x * L(x,y,z),u,w)). L(L(L(x,y,z) \ x,u,w),L(L(x,u,w),y,z) * (L(L(x,u,w),y,z) \ L(x,u,w)),w * u) = ((w * u) * L(L(x,u,w),y,z)) \ (w * (u * x)). L(x,y,y \ (x \ z)) \ z = T((z / (y * x)) * y,x). a(x,y,L(L(z,u,u \ (z \ w)),L(z,u,u \ (z \ w)),w)) = a(x,y,w \ (u * ((z * u) \ w))). L(x \ 1,(x \ 1) \ 1,x \ R(x * y,z,u)) = R((x \ 1) \ y,z,u) \ (R((x \ 1) \ y,z,u) / (1 / (x \ 1))). ((x * (y * z)) / z) \ (L(x,z,y) * R(y,z,x)) = a(L(x,z,y),R(y,z,x),z). L(x,y,z \ ((u \ w) * R(u,w,v5))) = L(x,y,z \ (a(u,w,v5) * w)). L(L(x,y,z),u,w) \ L(L(R(x,x,v5),y,z),u,w) = a(x,L(L(x,y,z),u,w),v5). a(x \ (x / y),x,z) = y * R(y \ 1,x,z). a(x,y,z) * (x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w))) = a(y,x,a(z,y,x)) * L(x \ R(x,y,z),u,w). (L(R(x,y,z) \ x,x,y) \ (R(x,y,z) \ x)) * (u * (R(x,y,z) \ x)) = (a(y,x,a(z,y,x)) * u) * (R(x,y,z) \ x). a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = v5 * a(w,u,a(x,y,z)). L(a(x,y,z),z,u \ z) = L(a(x,y,z),z,u). L(R(a(x,y,z),u,w),L(z,v5,v6),v7) = L(R(a(x,y,z),u,w),z,L(v7,v5,v6)). L(L(x,y,z) \ x,L(x,u,w),v5) = L(L(x,y,z) \ x,x,L(v5,u,w)). a(x,y,z) * (u * (w * L(w \ 1,u * w,a(x,y,z)))) = ((u * w) * a(x,y,z)) * ((u * w) \ u). T((x / (y * z)) * y,z) * R((L(z,y,y \ (z \ x)) \ x) \ x,u,w) = R(L(z,y,y \ (z \ x)),u,w) * (L(z,y,y \ (z \ x)) \ x). L(x \ 1,(x \ 1) \ 1,x \ L(x * y,z,u)) = R((x \ 1) \ y,z,u) \ (R((x \ 1) \ y,z,u) / (1 / (x \ 1))). ((x * (y * z)) / z) \ (L(x,z,y) * R(y,z,x)) = a(L(x,z,y),L(y,z,x),z). L(L(x,y,L(z,u,w) \ z),a(w,u,L(z,z,u)),y) = x * a(y,x,u \ ((R(z,z,u) \ ((z \ ((z * z) * u)) * w)) / w)). (x * a(y,x,a(z,u,w))) * L(x \ L(x,y,a(w,u,z)),a(w,u,z),y) = L(x,a(w,u,z),y). a(x,a(y,z,u),w) \ 1 = a(x,a(y,z,u),w). a(x,a(y,z,u),w) = a(w,a(u,z,y),x). a(x,a(y,z,u),w) = a(w,a(y,z,u),x). L((a(x,y,z) \ u) \ w,a(z,y,x),u) = a(x,y,z) * (u \ w). (a(x,y,z) \ L(u,a(z,y,x),w)) * w = u * (a(x,y,z) \ w). a(a(x,y,z),y,y) = 1. (a(x,y,z) / ((x \ ((x * y) * z)) / z)) \ 1 = y. a(x,x,a(y,x,z)) = 1. a(x,y,z \ a(u,z,w)) = a(x,y,z * a(u,z,w)). a(x,y,z) * (y \ 1) = y \ a(x,y,z). (x \ 1) * a(y,x,z) = x \ a(y,x,z). a(x,y,z) \ (y \ 1) = y \ (a(x,y,z) \ 1). a(a(x,y,z),a(x,y,z) \ y,a(x,y,z) \ y) = 1. a(x,y,z) \ (y \ a(x,y,z)) = y \ 1. a(L(x,y,z) \ x,y,y) = 1. a(x \ L(x,y,z),y,y) = 1. L(a(x,y,z),y,y) = a(x,y,z). L(x,x,y \ L(y,x,z)) = x. (x / y) \ L(x,y,z) = y * (x \ L(x,y,z)). a(x,y,y \ z) = a(x,y,z * y). a(x,y,(z \ y) * y) = L(z,y,x) \ z. a(x,y,y \ z) = a(x,y,y * z). (x * y) \ (L(z / (x * y),y,x) \ z) = a(x,y,(x \ z) * y). a(x,y,(y * z) * y) = a(x,y,z). a(x,y \ z,z * (y \ z)) = a(x,y \ z,y). x \ ((x * y) * (y \ z)) = z * a(x,y,z * y). a(x,y,L(z \ L(z,u,w),z,y)) = a(x,y,((y / z) * L(z,u,w)) * y). a(x,y * z,y \ ((y / z) * L(z,u,w))) = a(x,y * z,(y * L(z,u,w)) * (y * z)). x \ (y * L(y \ x,y,z)) = a(z,y,x * y) \ 1. a(x,y,(z \ y) * y) \ y = (z \ L(z,y,x)) * y. a(x,y,(z \ y) * y) \ z = L(z,y,x). a(a(x,y,z),u,w * u) \ v5 = a(u \ w,u,a(x,y,z)) * v5. ((x / y) * (y * a(z,u,w))) / x = a(z,u,w) * a(a(z,u,w),y,x * y). a(x,y * z,L(z \ u,z,y)) = a(x,y * z,(y * z) * (u * y)). a(x,y,y * (z \ y)) = L(z,y,x) \ z. a(x,y,y * (z * (L(z,u,w) \ y))) \ 1 = a(y \ (z * (L(z,u,w) \ y)),y,x). a(x,y,y * (L(y,z,u) \ w)) = a(x,y,y * (w * L(y,z,u))). a(x,y,L(z,y,y)) = a(x,y,z). a(x,y,L(z,y,y)) * u = a(x,y,z) * u. a(x,L(y,z,u),L(w,y,y)) = a(x,L(y,z,u),w). x * (L(x,a(y,z,x),u) \ (w * a(u,x,a(y,z,x)))) = L(w,a(u,x,a(y,z,x)),L(x,a(y,z,x),u)). a(x,y,z) \ L(u,z,z) = L(a(x,y,z) \ u,z,z). 1 * a(x,a(y,x,z),L(y,u,w)) = a(x,y,L(a(z,x,y),u,w)). L(x,y \ z,a(y,y,z)) = L(x,z * y,a(y,y,z)). L(L(a(x,y,z),u,w),w,u) \ u = w \ ((a(x,y,z) \ w) * u). (x \ L(x,y,z)) \ (L(x,y,z) * (x \ a(u,x,w))) = L(a(u,x,w),x \ 1,L(x,y,z)). (a(x,y,z) \ y) * (y \ a(x,y,z)) = 1. (a(x,y,z) \ y) \ 1 = y \ a(x,y,z). x * (a(y,x,z) * L(x \ 1,u,w)) = a(y,x,z) * (x \ L(x,u,w)). L(x \ L(x,y,z),y,y) = x \ L(x,y,z). a(a(x,y,z),u,(w \ u) * u) = w \ L(w,u,a(z,y,x)). a(x,y,((z \ u) \ y) * y) = u \ (L(z / u,y,x) \ z). x * a(y,z,(x \ z) * z) = L(1 / x,z,y) \ 1. a(x,y,(z \ y) * y) * u = u * (L(z,y,x) \ z). a(x,y,a(z,u,(w \ u) * u)) = a(x,y,w * L(w,u,z)). L(x,x,a(y,z,(u \ z) * z)) = L(x,x,u \ L(u,z,y)). L(x,y,a(z,u,(w \ u) * u)) = L(x,y,w \ L(w,u,z)). L(x,a(y,z,(u \ z) * z),w) = L(x,u \ L(u,z,y),w). L(a(x,y,(z \ y) * y),z,u) \ u = (u / z) * L(z,y,x). a(x,y,a(z * (u \ z),z,w)) = a(x,y,L(u,z,w) \ u). a(x,y,(z \ y) * y) \ u = u * (z \ L(z,y,x)). x \ ((x * ((y / z) \ 1)) * T(y / z,y \ z)) = 1 * a(x,(y / z) \ 1,1 * ((y / z) \ 1)). x \ ((x * (y \ z)) * ((y \ z) \ u)) = u * a(x,z / y,u * (z / y)). a(x,y,L(z * L(z,u,w),z,y)) = a(x,y,((y / z) * L(z,u,w)) * y). a(x,y * z,y \ (z * (L(z,u,w) \ y))) = a(x,y * z,(y * L(z,u,w)) * (y * z)). a((x \ y) * y,y,a(z,u,w)) = x \ L(x,y,a(z,u,w)). a(x \ y,x,a(z,u,w)) * v5 = a(y * x,x,a(z,u,w)) * v5. a(x \ y,x,a(z,u,w)) = a(y * x,x,a(w,u,z)). ((x / y) * (y * a(z,u,w))) / x = L(a(z,u,w),y,x * y). L(a(x,y,z),u,w * u) * w = (w / u) * (u * a(x,y,z)). a(x,y * z,L(z \ L(z,u,w),z,y)) = a(x,y * z,L(z * L(z,u,w),y,y)). a(x,y,a(z,u,u * (w \ u))) = a(x,y,w * L(w,u,z)). a(x,y,y * (z \ y)) \ u = u * (z \ L(z,y,x)). (x * (a(y,z,z) \ u)) \ (x * u) = a(y,z,L(z,u,x)). (x * ((y * z) * a(a(u,w,v5),y,z))) \ (x * ((a(u,w,v5) * y) * z)) = L(a(u,w,v5),(a(u,w,v5) * y) * z,x). (L(a(x,y,z),u,w) \ v5) \ (L(a(x,y,z),u,w) \ (v5 * v6)) = L(v6,v5,L(a(x,y,z),u,w)). (L(a(x,y,z) \ 1,u,w) * (v5 * v6)) / (L(a(x,y,z) \ 1,u,w) * v6) = (L(a(x,y,z),u,w) \ v6) \ (L(a(x,y,z),u,w) \ (v6 * v5)). L(L(a(x,y,z) \ 1,u,w) * L(L(a(x,y,z),v5,v6),u,w),L(a(x,y,z),u,w),v5 * v6) = a(L(a(x,y,z),u,w),v5,v6). L(L(a(x,y,z),u,w) \ L(L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),u,w),v7) = L(a(x,y,z),u,w) * L(L(a(x,y,z) \ 1,u,w) * a(v7,a(x,y,z),a(x,y,z)),v5,v6). a(x \ y,x,a(z,u,w)) * y = a(z,u,w) * ((y / x) * (a(z,u,w) \ x)). L(L(x,y,z) \ x,u * x,u * x) = (u \ L(x,y,z)) \ (u \ x). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (((v7 * L(L(x,u,w) \ x,v5,v6)) * L(L(x,u,w) \ x,v5,v6)) * a(x,y,z)) * L(x \ L(x,u,w),v5,v6). L(L(L(x,y,z) \ x,u,w),L(x,u,w),w * u) = ((w * u) * L(L(x,u,w),y,z)) \ (w * (u * x)). a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = a(a(x,y,z),u,w) * v5. (L(a(x,y,z),u,w) \ a(x,y,z)) * 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(w,u,a(x,y,z)) * v5. L(a(x,y,z),u,w) \ ((x * y) * z) = (x * (y * z)) * a(w,u,a(x,y,z)). L(a(x,y,a(z,u,w)),a(z,u,w),v5) = v5 \ (v5 * a(x,y,a(z,u,w))). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = (a(x,z,y) \ K(x,K(z,y))) * K(y,z). L(x,y,z \ ((u \ w) * L(u,w,v5))) = L(x,y,z \ (a(u,w,v5) * w)). L(R(a(x,y,z),u,w),L(z,v5,v6),v7) = L(L(a(x,y,z),u,w),z,L(v7,v5,v6)). L(L(x,y,z) \ x,x,L(u,y,z)) = L(L(x,y,z) \ x,x,u). R(L(L(x,y,z) \ x,x,L(u,w,v5)),v6,v7) = L(R(L(x,y,z) \ x,v6,v7),L(x,w,v5),u). ((x \ ((x * y) * z)) / z) \ a(x,y,z) = y \ 1. a(x,y,z) * (u * (w \ L(w,u * w,a(x,y,z)))) = ((u * w) * a(x,y,z)) * ((u * w) \ u). L(L(x,y,z \ L(z,u,w)),a(w,u,L(z,z,u)),y) = x * a(y,x,u \ ((R(z,z,u) \ ((z \ ((z * z) * u)) * w)) / w)). a(x,a(y,z,u),w) \ v5 = v5 * a(x,a(y,z,u),w). L(x,a(y,z,u),w) \ x = a(x,a(u,z,y),w). x \ (y \ ((y * a(z,u,w)) * (a(z,u,w) \ x))) = a(a(z,u,w) \ x,a(w,u,z),y). x * a(y,a(z,u,w),x) = L(x,a(w,u,z),y). a(x,a(y,z,u),w) * v5 = v5 * a(w,a(u,z,y),x). x * a(y,a(z,u,w),v5) = x * a(v5,a(w,u,z),y). x * (L(x,y,z) \ a(u,a(w,v5,v6),x)) = L(x,y,z) \ L(x,a(v6,v5,w),u). x \ L(x,a(y,z,u),w) = a(w,a(y,z,u),x). x * a(y,a(z,u,w),x) = L(x,a(z,u,w),y). a(x,y,z) * (u \ ((a(x,y,z) \ u) * w)) = L(w,a(z,y,x),u). x * ((L(x,a(y,z,x),u) \ w) * a(u,x,a(y,z,x))) = L(w,a(u,x,a(y,z,x)),L(x,a(y,z,x),u)). L(a(x,y,z) \ a(z,u,w),z,z) = a(x,y,z) \ a(z,u,w). L(x,y \ z,a(z,y,y)) = L(x,z * y,a(y,y,z)). a(x,L(y,y \ L(y,x,z),u),a(z,x,y)) = a(x,y,a(z,x,y)). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (((v7 * (L(x,u,w) \ x)) * L(L(L(x,u,w) \ x,v5,v6),v5,v6)) * a(x,y,z)) * L(x \ L(x,u,w),v5,v6). L(L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)),v5,v6) = a(w,u,L(x * L(x,y,z),v5,v6)). (x \ R(x,y,z)) * a(u,w,a(x,v5,v6)) = R(x,y,z) * (x \ a(u,w,a(x,v5,v6))). a(a(x,y,a(z,u,w)),z,v5) = a(z,a(x,y,a(z,u,w)),v5). (x \ R(x,y,z)) * (a(x,y,z) \ u) = a(y,x,a(z,y,x)) \ u. a(x,y,z) * ((x \ R(x,y,z)) \ u) = a(y,x,a(z,y,x)) * u. a(x,y,z) * ((R(x,y,z) \ x) * u) = a(y,x,a(z,y,x)) * u. L(a(x,y,z),u \ (a(x,y,z) \ w),u) = L(a(x,y,z),u \ w,u). a(x \ (a(y,z,u) \ w),x,a(y,z,u)) * (a(y,z,u) \ w) = T((w / (x * a(y,z,u))) * x,a(y,z,u)). (x * y) * (z * L(z \ L(z,y,x),u,w)) = z * T(x * (L(a(x,y,z),u,w) \ y),z). (L(a(x,y,z) \ 1,u,w) * (v5 * v6)) / (L(a(x,y,z) \ 1,u,w) * v6) = L(v5,v6,L(a(x,y,z),u,w)). L(L(a(x,y,z),u,w) \ L(L(a(x,y,z),v5,v6),u,w),L(a(x,y,z),u,w),v5 * v6) = a(L(a(x,y,z),u,w),v5,v6). L(L(a(x,y,z),u,w) \ L(L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),u,w),v7) = L(a(x,y,z),u,w) * L(L(a(x,y,z) \ 1,u,w) * 1,v5,v6). L(((L(x,y,z) \ x) / (1 / u)) \ 1,u,a(z,y,L(x,x,y))) = a(z,y,L(x,x,y)) \ (1 / u). L(T(a(x,y,z),u * w),w * (u * a(a(x,y,z),u,w)),v5) = L(a(x,y,z),(a(x,y,z) * u) * w,v5). x \ (L(L(a(y,z,u),x,w),w,x) \ T(x,L(L(a(y,z,u),x,w),w,x) \ 1)) = (w \ ((a(y,z,u) \ w) * x)) / x. L(L(x,y,z) \ x,x * u,x * u) = (u \ L(x,y,z)) \ (u \ x). a(x,y,((z \ L(u,w,v5)) \ (z \ u)) * ((z * u) * (u * z))) = a(x,y,(z * u) * ((u * z) * (L(u,w,v5) \ u))). a(x,L(a(y,z,u) \ w,v5,v6),L(a(y,z,u) * w,v7,v8)) = a(x,a(y,z,u) \ w,L(L(a(y,z,u) \ w,v5,v6),v7,v8)). a(x,a(x,y,z),L(y,u,w)) \ 1 = a(y,x,L(a(z,y,x),u,w)). (x \ R(x,y,z)) * (a(x,y,z) \ u) = a(y,x,a(z,y,x)) * u. (x \ L(x,y,z)) * (a(y,x,a(z,y,x)) * u) = (a(z,y,x) \ 1) * u. (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = K(x,K(z,y)) * (a(x,z,y) \ K(y,z)). a(x,y,y) \ a(x,y,L(y,z,u)) = a(x,y,y * L(y,z,u)). a(x \ (x / (y \ 1)),x,z) = y \ R(y,x,z). L(L(a(x,y,z),u,w),L(z,v5,v6),v7) = L(L(a(x,y,z),u,w),z,L(v7,v5,v6)). L(R(L(x,y,z) \ x,u,w),L(x,v5,v6),v7) = L(R(L(x,y,z) \ x,u,w),x,L(v7,v5,v6)). L(L(x,y,z \ L(z,u,w)),L(z,u,w) \ z,y) = x * a(y,x,u \ ((R(z,z,u) \ ((z \ ((z * z) * u)) * w)) / w)). a(x,a(y,z,u),w) * w = L(w,a(u,z,y),x). a(x,a(y,z,u),w) * (x \ K(v5,v6)) = L(x,a(u,z,y),w) \ K(v5,v6). x \ L(x,a(y,z,u),a(y,z,u) * w) = a(a(y,z,u) \ x,a(u,z,y),w). (x \ y) * a(x,a(z,u,w),y) = x \ L(y,a(w,u,z),x). a(x,a(y,z,u),w) * w = L(w,a(y,z,u),x). L(x,a(y,z,a(u,w,z)),L(z,a(u,w,z),y)) = z * L(z \ x,z,a(y,z,a(u,w,z))). L(a(x,y,z * L(u,w,v5)),z * L(u,w,v5),y) = L(z * R(u,w,v5),y,x) \ (z * R(u,w,v5)). L(x \ ((x / y) * R(y,z,u)),y,z * u) = L(a(y,z,u),y,x). L(a(x,y,z),u,w) * L(L(a(x,y,z) \ 1,u,w),v5,v6) = L(a(v6,v5,a(x,y,z)),u,w). x * a(y \ (a(z,u,w) * x),y,a(z,u,w)) = ((x / a(z,u,w)) / y) * (y * a(z,u,w)). (a(x,y,a(z,u,w)) * v5) \ (v5 * a(z,u,w)) = L(a(z,u,w),y,x). L(a(x,y,z),u,w) \ ((x * y) * z) = x * ((y * z) * a(w,u,a(x,y,z))). L(a(x,y,a(z,u,w)),a(z,u,w),v5) = a(x,y,a(z,u,w)). L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,u,w),L(x,y,z) \ x,v5) = a(x \ L(x,y,z),u,w). a(x,y,L(a(z \ L(z,u,w),v5,v6),z \ L(z,u,w),z \ L(z,u,w))) = a(x,y,L(z,u,w) * (z \ L(z \ L(z,u,w),v5,v6))). L(x \ L(x,y,z),u,(((w \ 1) * v5) * v6) * v7) = L(x \ L(x,y,z),u,(v6 * (v5 * w)) * v7). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (((v7 * (L(x,u,w) \ x)) * (L(x,u,w) \ x)) * a(x,y,z)) * L(x \ L(x,u,w),v5,v6). L(L(x,y,z) \ (L(x / L(x,y,z),u,w) \ x),v5,v6) = a(w,u,L(x * L(x,y,z),v5,v6)). L(a(x,y,z * L(z,u,w)),v5,v6) = a(x,y,L(z * L(z,u,w),v5,v6)). a(x,y,z) * a(u,u \ w,a(x,y,z)) = L(a(x,y,z),u \ (a(x,y,z) \ w),u). (x * y) * (z * L(z \ L(z,y,x),u,w)) = (x * (L(a(x,y,z),u,w) \ y)) * z. (L(a(x,y,z),u,w) \ (v5 * v6)) / (L(a(x,y,z) \ 1,u,w) * v6) = L(v5,v6,L(a(x,y,z),u,w)). L(L(a(x,y,z) \ L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),v5,v6),u * w) = a(L(a(x,y,z),v5,v6),u,w). a(x,y,z) * L(u,x,a(z,y,x)) = (u / x) * (x * a(x,y,z)). L(x,y,a(z,u,y)) * y = L(x * y,y,a(z,u,y)). L(x,y \ (z \ ((z * a(u,w,v5)) * y)),a(v5,w,u)) = L(x,a(z,a(u,w,v5),y),a(u,w,v5)). L(x,L(y,y,a(z,u,w)),a(w,u,z)) = L(x,y \ a(z,u,w),a(z,u,w)). L(x,y \ a(z,y,u),a(z,y,u)) = L(x,y,a(z,y,u)). L(1 / ((L(x,y,z) / u) \ x),u,a(z,y,L(x,x,y))) = a(z,y,L(x,x,y)) \ (1 / u). L(a(x,y,z),u * (w * a(a(x,y,z),w,u)),v5) = L(a(x,y,z),(a(x,y,z) * w) * u,v5). x \ (L(L(a(y,z,u),x,w),w,x) \ T(x,a(y,z,u) \ 1)) = (w \ ((a(y,z,u) \ w) * x)) / x. L(L(a(x,y,z),u,w) \ L(L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),u,w),v7) = L(a(x,y,z),u,w) * L(L(a(x,y,z) \ 1,u,w),v5,v6). a(x,y,(z * u) * ((u * z) * (L(u,w,v5) \ u))) = a(x,y,(z \ L(u,w,v5)) \ (z \ u)). a(x,a(y,z,u) \ z,L(L(a(y,z,u) \ z,y,u),w,v5)) = a(x,L(z,u,y),L(a(y,z,u) * z,w,v5)). a(x,a(x,y,z),L(y,u,w)) = a(y,x,L(a(z,y,x),u,w)). T(x,R(y,z,u) \ y) * L(R(y,z,u) \ y,y,z) = (a(z,y,a(u,z,y)) * x) * (R(y,z,u) \ y). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = a(x,z,y) \ K(y,T(z,x)). a(x,y,y * L(y,z,u)) = a(a(x,y,y),z,u). L(x,y,z) * L(L(x,y,z) \ x,u,w) = x * a(x \ L(x,y,z),u,w). a(x,y,z) * L(a(x,y,z) \ (((x \ ((x * y) * z)) / z) \ a(x,y,z)),u,w) = (y \ 1) * (((x \ ((x * y) * z)) / z) \ L((x \ ((x * y) * z)) / z,u,w)). (L(x,y,z) * (x \ a(u,x,w))) * (L(x,y,z) \ x) = L(a(u,x,w),x \ 1,L(x,y,z)). 1 / (a(x,y,z) \ y) = a(x,y,z) / y. L(a(x,y,z),y,L(y,u,w)) = a(x,y,z). a(x * (y \ x),x,a(z,u,w)) = y \ L(y,x,a(z,u,w)). a(x,y,((z \ (x * y)) \ y) * y) = a(x,y,(x \ z) * y). L(a(x,y,(z \ y) * y) \ u,a(x,y,(z \ y) * y),w) = (w * (L(z,y,x) \ z)) \ (w * u). a(x,y,a(z * (u \ z),z,w)) = a(x,y,u * L(u,z,w)). a(a(x,y,(z \ y) * y),u,u) = L(u,u,z \ L(z,y,x)) \ u. L(x,a(y,z,u),a(w,v5,(v6 \ v5) * v5)) = L(x,a(u,z,y),v6 \ L(v6,v5,w)). a(x,y,L(z,a(u,w,(v5 \ w) * w),v6)) = a(x,y,L(z,v5 * L(v5,w,u),v6)). a(x,y,(L(z,u,w) \ y) * y) \ v5 = v5 * L(z \ L(z,y,x),u,w). x \ R(x,y * (z \ 1),y * z) = 1 * a(x,(z / y) \ 1,1 * ((z / y) \ 1)). a(x,y,L(z * L(z,u,w),z,y)) = a(x,y,y * ((y / z) * L(z,u,w))). a(x,y * z,y \ (z * (L(z,u,w) \ y))) = a(x,y * z,(y * z) * (y * L(z,u,w))). ((x \ L(x,y,a(z,u,w))) * y) \ (y * a(z,u,w)) = L(a(z,u,w),y,(x \ y) * y). a(x * y,y,a(z,u,w)) * x = a(z,u,w) * ((x / y) * (a(z,u,w) \ y)). (a(x,y,z) * ((u / (w * z)) * ((a(x,y,z) \ w) * z))) \ u = a(u * (w * z),w * z,a(z,y,x)). (a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w)))) \ u = a(u * (z \ w),z \ w,a(z,y,x)). L(a(x,y,z),u,u * w) * w = (w / u) * (u * a(x,y,z)). L(a(x,y,z),u,u \ w) = L(a(x,y,z),u,w * u). L(a(x,y,z),a(x,y,z) * u,w * (a(x,y,z) * u)) * w = (w / (a(x,y,z) * u)) * ((u * a(x,y,z)) * T(a(x,y,z),u)). a(x,y * z,L(z * L(z,u,w),z,y)) = a(x,y * z,L(z * L(z,u,w),y,y)). a(x,y,y * (z \ y)) \ a(u,z \ L(z,y,x),w) = (u \ ((u * (z \ L(z,y,x))) * w)) / w. a(x,y,y * (z \ y)) \ L(z,u,a(w,v5,v6)) = z * (L(z,u,a(w,v5,v6)) \ L(z,y,x)). L((a(x,y,y * ((z \ u) \ y)) \ w) / w,z \ u,z) = (w * (u \ (z * L(z \ u,y,x)))) / w. x * (L(y / (y / z),u,w) \ L(L(y / (y / z),u,w),y,v5)) = a(v5,y,y * (y / L(z,u,w))) \ x. a(L(x,x,y),y,z) = x \ R(x,y,z). L(x,y,z \ (a(u,w,v5) * w)) = L(x,y,z \ (w * a(v5,w,u))). L(R(L(x,y,z) \ x,u,w),L(x,v5,v6),v7) = L(L(L(x,y,z) \ x,u,w),x,L(v7,v5,v6)). L(L(x,y,z \ L(z,u,w)),z \ L(z,u,w),y) = x * a(y,x,u \ ((R(z,z,u) \ ((z \ ((z * z) * u)) * w)) / w)). (a(x,y,z) \ ((R(u,u,a(x,y,z)) \ ((u \ ((u * u) * a(x,y,z))) * w)) / w)) * w = L(w,a(z,y,x),L(u,u,a(x,y,z))). a(a(x,y,z) \ u,a(z,y,x),w) = a(u,a(x,y,z),a(x,y,z) * w). L(x,a(y,z,a(u,w,z)),L(z,a(u,w,z),y)) = L(x,z,a(z,a(u,w,z),y)). L(x * R(y,z,u),w,v5) \ (x * R(y,z,u)) = L(x * L(y,z,u),w,v5) \ (x * L(y,z,u)). a(R(x,y,z) * L(x \ L(x,R(x,y,z),u),y,z),u,w) = R(x,y,z) \ R(R(x,y,z),u,w). L((x \ R(x,y,z)) \ 1,z,y) = z \ L(z,y,L(x,x,y)). ((x \ R(x,y,z)) * y) \ (y * z) = L(z,y,L(x,x,y)). (x * L(y \ R(y,z,x),x,z)) \ u = ((x \ u) / x) * L(x,z,L(y,y,z)). (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)). L(x \ R(x,y,z),x,u) = u \ ((u / x) * R(x,y,z)). L(a(x,y,z),u * L(u,w,v5),L(u,w,v5)) = L(a(x,y,z),u,u \ L(u,w,v5)). L(a(x,y,z),(u \ 1) * w,v5) = L(a(x,y,z),w * u,v5). L(a(x,y,z \ L(u,w,v5)),z \ L(u,w,v5),y) = R(u,w,v5) \ (L(z / R(u,w,v5),y,x) \ z). (a(x,y,a(z,u,w)) * v5) \ (a(z,u,w) * v5) = L(a(z,u,w),y,x). x * a(a(y,z,u),w,w \ (a(y,z,u) * x)) = ((x / a(y,z,u)) / w) * (w * a(y,z,u)). (L(a(x,y,z),u,w) \ (x * y)) * z = x * ((y * z) * a(w,u,a(x,y,z))). a(x,a(y,z,u),a(a(y,z,u),w,v5)) = 1. a(x,y,z) * L(a(x,y,z) \ (((x \ ((x * y) * z)) / z) \ a(x,y,z)),u,w) = (y \ 1) * (z \ ((x \ ((x * y) * z)) * L((x \ ((x * y) * z)) \ z,u,w))). L(x,y,z) * ((x \ a(u,x,w)) * (L(x,y,z) \ x)) = L(a(u,x,w),x \ 1,L(x,y,z)). a(x,y,z) \ (1 / (1 / y)) = 1 / (a(x,y,z) / y). L(a(x,y,z),y \ 1,L(y,u,w)) = a(x,y,z). (1 / x) \ a(y * (x \ y),y,a(z,u,w)) = L(x,y,a(z,u,w)). L(a(x,y,(z \ y) * y) \ u,a(x,y,(z \ y) * y),z) = (u / z) * L(z,y,x). a(x,y,a(L(z,z,u) * ((L(z,z,u) \ w) \ L(z,z,u)),L(z,z,u),u)) = a(x,y,(L(z,z,u) \ w) * ((u / (z \ 1)) \ (u * w))). a(x,y,(z \ u) * L(z \ u,u,w)) = a(x,y,a(z * u,u,w)). L(x,a(y,z,u),a(w,v5,(v6 \ v5) * v5)) = L(x,a(u,z,y),v6 * L(v6,v5,w)). 1 * a(x,(y / z) \ 1,1 * ((y / z) \ 1)) = a(x,z * (y \ 1),y * z). a(x,y,L(z * L(z,u,w),z,y)) = a(x,y,y * ((z \ y) * L(z,u,w))). a(x,y * z,y \ (z * (L(z,u,w) \ y))) = a(x,y * z,L(z * L(z,u,w),y,y)). a(x,y,z) * ((u / w) * (a(x,y,z) \ w)) = u * a(u * w,w,a(z,y,x)). a(x * y,x,a(z,u,w)) * y = a(z,u,w) * ((y / x) * (a(z,u,w) \ x)). L(a(x,y,y * ((z \ u) \ y)) \ 1,z \ u,z) = (w * (u \ (z * L(z \ u,y,x)))) / w. x * (L(y / (y / z),u,w) \ L(L(y / (y / z),u,w),y,v5)) = a(v5,y,y * (L(z,u,w) \ y)) \ x. L(x,y,z) \ L(x \ L(x,y,z),u,w) = x \ a(w,u,x * L(x,y,z)). x \ (L(x \ R(x,y,z),u,w) \ R(x,y,z)) = a(x \ L(x,y,z),u,w). (x * (y \ L(y,z,u))) * a(y \ L(y,z,u),w,v5) = x * L(x \ ((L(y,z,u) \ y) \ x),w,v5). R(x,y,z) * L(R(x,y,z) \ x,u,w) = a(x \ L(x,y,z),u,w) \ x. L(L(x,y,z) \ x,u,w) * ((L(x,y,z) \ x) \ v5) = v5 * a(x \ L(x,y,z),u,w). L(L(x,y,z) \ (x * L(x \ L(x,y,z),u,w)),L(x,y,z) \ x,v5) = a(x \ L(x,y,z),u,w). a(x,y,L(a(z \ L(z,u,w),v5,v6),z \ L(z,u,w),z \ L(z,u,w))) = a(x,y,L(z,u,w) * (z * L(z * L(z,u,w),v5,v6))). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = ((v7 * (a(w,u,x) * a(w,u,x))) * a(x,y,z)) * L(x \ L(x,u,w),v5,v6). L(L(x,y,z) \ (L(L(x,y,z) \ x,u,w) \ x),v5,v6) = a(w,u,L(x * L(x,y,z),v5,v6)). T((x / (y * z)) * y,z) * R(T((x / (y * z)) * y,z) \ x,u,w) = R(L(z,y,y \ (z \ x)),u,w) * (L(z,y,y \ (z \ x)) \ x). L(x \ 1,(x \ 1) \ 1,x * L(x \ y,z,u)) = R((x \ 1) \ y,z,u) \ (R((x \ 1) \ y,z,u) / (1 / (x \ 1))). x / (y * (a(z,u,w) * (y \ (a(z,u,w) \ x)))) = a(y,y \ x,a(z,u,w)). a(x,x \ (a(y,z,u) \ w),a(y,z,u)) = a(x,x \ w,a(y,z,u)). a(x,y,y) \ L(a(x,y,y),L(x,y,y),z) = a(z,x,a(y,y,x)). (L(a(x,y,z),u,w) \ (v5 * v6)) / (L(a(x,y,z),u,w) \ v6) = L(v5,v6,L(a(x,y,z),u,w)). L(x,L(L(a(y,z,u),w,v5),v5,w),a(u,z,y)) = L(x,a(v5,a(y,z,u),w),a(y,z,u)). L(x \ L(x,y \ a(z,u,w),a(z,u,w)),x,a(z,u,w) / (y \ 1)) = a(x,L(y,y,a(z,u,w)),a(w,u,z)). L(1 / ((L(x,y,z) / u) \ x),u,L(x,y,z) \ x) = a(z,y,L(x,x,y)) \ (1 / u). L(a(x,y,z),L(u,w,a(x,y,z)) * w,v5) = L(a(x,y,z),(a(x,y,z) * w) * u,v5). x \ (L(L(a(y,z,u),x,w),w,x) \ x) = (w \ ((a(y,z,u) \ w) * x)) / x. L(L(a(x,y,z),u,w) \ L(L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),u,w),v7) = L(a(v6,v5,a(x,y,z)),u,w). a(x,y,(z * u) * ((u * z) * (L(u,w,v5) \ u))) = a(x,y,(z \ u) \ (z \ L(u,w,v5))). a(x,a(y,z,u) \ z,L(L(a(y,z,u) * z,y,u),w,v5)) = a(x,L(z,u,y),L(a(y,z,u) * z,w,v5)). (x * (y * z)) / ((x * (y * z)) / (1 / ((x * (y * z)) \ ((x * z) * y)))) = T(a(x,z,y) \ K(y,z),x). a(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u). x \ L(x,x \ L(x,y,z),u) = a(a(u,x,x),y,z). a(x \ L(x,y,z),x,u) = a(a(u,x,x),y,z). a(x,x \ L(x,y,z),u) = a(a(u,x,x),y,z). x \ L(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u). a(x,y \ L(y,z,u),y) = a(a(x,y,y),z,u). a(a(x,y,y),x,z) = a(x,y,a(z,x,y)). a(a(x,y,y),z,z) = a(x,y,a(z,z,y)). x * a(y,z,z * L(z,u,w)) = a(w,u,a(y,z,z)) * x. (L(x,y,z) * (x \ L(x \ L(x,y,z),x,u))) \ (x \ L(L(x,y,z),y,z)) = a(a(u,x,x),y,z) \ 1. L(x,y,z) * L(L(x,y,z) \ x,u,w) = x * a(x \ L(x,u,w),y,z). (L(R(x,y,z),u,w) \ L(x,u,w)) * R(x,y,z) = x * a(x \ L(x,y,z),u,w). L(x,y,a(z,u,y)) * L(L(x,a(z,u,y),y) \ x,w,v5) = x * a(x \ L(x,a(z,u,y),y),w,v5). L(x,(y * z) \ (a(u,z,y) * z),(y * z) \ (z * a(y,z,u))) = L(x,L(y,z,u) \ 1,L(y,z,u) \ 1). L(L(L(x,y,z) \ x,u,w),L(x,v5,v6),v7) = L(L(L(x,y,z) \ x,u,w),x,L(v7,v5,v6)). L(L(x,y,z \ L(z,u,w)),z \ L(z,u,w),y) = x * a(z \ L(z,u,w),x,y). (a(x,y,z) \ ((L(u,u,a(x,y,z)) \ ((u \ ((u * u) * a(x,y,z))) * w)) / w)) * w = L(w,a(z,y,x),L(u,u,a(x,y,z))). a(x * a(y,z,u),a(u,z,y),w) = a(x,a(y,z,u),a(y,z,u) * w). R(x,a(y,x,a(z,u,x)),a(y,x,a(z,u,x))) \ ((x * a(y,x,a(z,u,x))) * w) = L(w * a(y,x,a(z,u,x)),x,a(x,a(z,u,x),y)). a(x,y,a(z,x,y)) * (u * (L(y,x,z) \ y)) = a(z,x,y) * u. (a(x,y,a(z,x,y)) * u) * (y \ L(y,x,z)) = a(z,x,y) \ u. (x \ L(x,y,z)) * (a(y,x,a(z,y,x)) * u) = a(z,y,x) \ u. a(x,y,z * ((u * L(w,v5,v6)) * (L(u * L(w,v5,v6),v7,v8) \ (u * L(w,v5,v6))))) = a(x,y,L(u * R(w,v5,v6),v7,v8) * z). ((x * (y * z)) \ (x * (y * R(z,u,w)))) \ (y \ ((y / z) * R(z,u,w))) = a(x,y * z,(y * R(z,u,w)) \ (y * z)). L(x \ R(x,y,z),x,u) = u \ (R(x,y,z) * (x \ u)). L(x \ R(x,y,z),x,x \ u) = L(x \ R(x,y,z),x,u). L(a(x,y,z \ u),z \ u,L(w,z,z)) = L(a(x,y,z \ u),u * z,w). L(x \ L(y,z,u),w,v5) \ (x \ L(y,z,u)) = R(y,z,u) \ (L(x / R(y,z,u),w,v5) \ x). (x * a(y,z,a(u,w,v5))) \ (a(v5,w,u) * x) = L(a(v5,w,u),z,y). (x * (L(a(x,y,z),u,w) \ y)) * z = x * ((y * z) * a(w,u,a(x,y,z))). a(x,a(L(y,y,z),z,u),a(w,v5,y * L(y,z,u))) = 1. a(x,a(y,z,u),w \ L(w,v5,a(u,z,y))) = 1. x * L(a(y \ L(y,z,u),w,v5),R(y,z,u) \ y,x) = (R(y,z,u) \ y) * (L(R(y,z,u) \ y,w,v5) \ x). (x * (y \ L(y,z,u))) * a(y \ L(y,z,u),w,v5) = x * L(x \ (x * (y \ L(y,z,u))),w,v5). R(x,y,z) * L(R(x,y,z) \ x,u,w) = a(x \ L(x,y,z),u,w) * x. (x * a(y \ L(y,z,u),w,v5)) * (L(y,z,u) \ y) = x * L(L(y,z,u) \ y,w,v5). L(x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)),L(x,y,z) \ x,v5) = a(x \ L(x,y,z),u,w). a(x,y,L(a(z \ L(z,u,w),v5,v6),z \ L(z,u,w),z \ L(z,u,w))) = a(x,y,z * (L(z,u,w) * L(z * L(z,u,w),v5,v6))). a(R(x,y,z) * L(x \ L(x,L(x,y,z),u),y,z),u,w) = R(x,y,z) \ R(R(x,y,z),u,w). x \ L(x,y,L(z,z,y)) = L(R(z,y,x) \ z,x,y). a(x,y,L(((z \ u) / z) * L(z,w,L(v5,v5,w)),L(v5 \ R(v5,w,z),z,w),z)) = a(x,y,L(v5 \ R(v5,w,z),z,w) \ (z \ u)). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (v7 * ((a(w,u,x) * a(w,u,x)) * a(x,y,z))) * L(x \ L(x,u,w),v5,v6). L(L(x,y,z) \ (x * L(x \ L(x,y,z),u,w)),v5,v6) = a(w,u,L(x * L(x,y,z),v5,v6)). (a(x,y,z) * (u \ (a(x,y,z) \ w))) \ (u \ w) = a(u,u \ w,a(x,y,z)). a(x,y,y) \ a(x,y,L(y,L(x,y,y),z)) = a(z,x,a(y,y,x)). R(x * K(y,L(a(z,u,w) \ 1,v5,v6)),y,L(a(z,u,w) \ 1,v5,v6)) = L(x,y,L(a(z,u,w),v5,v6)). a(x,y,z) * L(a(x,y,z) \ (((x \ ((x * y) * z)) / z) \ a(x,y,z)),u,w) = (y \ 1) * (z \ (x \ (((x * y) * L((x * y) \ x,u,w)) * z))). x * L((x \ 1) * L(x,x,y),z,u) = 1 / (a(y,x,L(x,z,u)) / x). L(1 / (K(x,y) / y),L(T(1 / (1 / y),x),z,u),w) = T(1 / (a(w,y,L(y,z,u)) / y),x). (x \ a(y,x,z)) * (L(x,u,w) \ x) = L(x,u,w) \ a(y,x,z). L(a(x,y,(z \ y) * y) \ u,z,a(x,y,(z \ y) * y)) = (u / z) * L(z,y,x). a(x,y,a(L(z,z,u) * (L(z,z,u) * (w \ L(z,z,u))),L(z,z,u),u)) = a(x,y,(L(z,z,u) \ w) * ((u / (z \ 1)) \ (u * w))). a(x,y,a(z \ u,z,w)) = a(x,y,a(u * z,z,w)). 1 * a(x,(y / z) \ 1,y / z) = a(x,z * (y \ 1),y * z). a(x,y,L(z * L(z,u,w),z,y)) = a(x,y,y * (z * (L(z,u,w) \ y))). a(x,y,z) * ((u / (w * z)) * ((a(x,y,z) \ w) * z)) = u * a(u * (w * z),w * z,a(z,y,x)). L(a(x,y,z),u,u * w) \ w = (w / u) * (a(x,y,z) \ u). x * L((y / (y / z)) \ L(y / (y / z),y,u),w,v5) = a(u,y,y * (L(z,w,v5) \ y)) \ x. L(x \ L(x,y \ a(z,u,w),a(z,u,w)),x,(y \ 1) \ a(z,u,w)) = a(x,L(y,y,a(z,u,w)),a(w,u,z)). L(1 / ((L(x,y,z) / u) \ x),u,x \ L(x,y,z)) = a(z,y,L(x,x,y)) \ (1 / u). (x \ ((a(y,z,u) \ x) * w)) / w = w \ (x \ ((a(y,z,u) \ x) * w)). L(L(a(x,y,z) \ L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),v5,v6),v7) = L(a(w,u,a(x,y,z)),v5,v6). a(x,y,(z * u) * (u * (z * (L(u,w,v5) \ u)))) = a(x,y,(z \ u) \ (z \ L(u,w,v5))). (x * (y * z)) / ((x * (y * z)) / (1 / (K(z,y) * a(x,z,y)))) = T(a(x,z,y) \ K(y,z),x). a(a(x,y,z) * L(R(x,y,z),y,z),a(u,w,v5),v6) = a(x \ a(z,y,x),a(u,w,v5),v6). a(x,y,y \ L(y,z,u)) = a(u,z,a(y,y,x)). a(a(x,y,y),z,u) * y = L(y,y \ L(y,z,u),x). a(x \ L(x,y,z),x,u) \ 1 = a(z,y,a(u,x,x)). x * a(y \ L(y,z,u),y,w) = a(u,z,a(w,y,y)) * x. a(a(x,y,y),z,u) * (y \ R(y,z,u)) = R(y \ R(y,z,u),y,x). a(x,x \ L(x,y,z),u) = a(z,y,a(x,x,u)). L(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u) * x. a(a(x,y,y),z,u) \ L(y,z,u) = L(L(y,y \ L(y,z,u),x),z,u). a(x,y,a(z,x,y)) = a(z,x,a(x,y,y)). a(x,a(x,y,y),z) = a(x,y,a(z,x,y)). a(x,y,a(z,x,y)) * u = u * a(z,x,a(y,y,x)). a(x,y,a(z,x,y)) * u = a(z,x,a(x,y,y)) * u. a(a(x,y,y),z,z) = a(y,a(z,z,y),x). a(a(x,x,y),z,z) = a(y,x,a(z,z,x)). a(x,y,a(z,z,y)) = a(z,z,a(x,y,y)). x * a(y,z,a(u,u,z)) = x * a(u,u,a(y,z,z)). (L(x,y,z) * (x \ L(x \ L(x,y,z),x,u))) \ (x \ L(L(x,y,z),y,z)) = a(z,y,a(u,x,x)). L(x,y,z) * L(L(x,y,z) \ x,u,w) = x * a(z,y,x * L(x,u,w)). L(x,y,z) * L(L(x,y,z) \ x,u,u) = x * a(a(x,u,u),y,z). L(x,y,z) \ L(R(x,u,w),y,z) = (x * a(x \ L(x,u,w),y,z)) \ R(x,u,w). L(x,y,a(z,u,y)) * a(y,a(z,u,y),L(x,w,v5)) = x * a(x \ L(x,a(z,u,y),y),w,v5). R(L(x,y,y \ (x \ z)),u,w) * (L(x,y,y \ (x \ z)) \ z) = ((z / (y * x)) * y) * R(((z / (y * x)) * y) \ z,u,w). L(x \ 1,x,x * L(x \ y,z,u)) = R((x \ 1) \ y,z,u) \ (R((x \ 1) \ y,z,u) / (1 / (x \ 1))). L(x,(y * z) \ (z * a(y,z,u)),(y * z) \ (z * a(y,z,u))) = L(x,L(y,z,u) \ 1,L(y,z,u) \ 1). L(L(L(x,y,z) \ x,u,w),x,L(w * u,u,w)) = ((w * u) * L(L(x,u,w),y,z)) \ (w * (u * x)). L(L(L(x,y,z) \ x,u,w),x,L(y,u,w)) = a(z,y,L(x,u,w)). L(x * a(y,z,a(u,w,z)),z,a(z,a(u,w,z),y)) = z \ ((z * a(y,z,a(u,w,z))) * x). L(a(x,y,z),(u \ 1) \ w,(u \ w) * v5) * v5 = (v5 / ((u \ 1) \ w)) * (((u \ 1) \ w) * a(x,y,z)). L(a(x,y,z),u,(w \ 1) * u) * (a(w,v5,v6) \ (a(w,v5,v6) / w)) = (((a(w,v5,v6) / w) / a(w,v5,v6)) / u) * (u * a(x,y,z)). L(a(x,y,z),u,w * (a(x,y,z) * u)) * w = (w / (a(x,y,z) * u)) * ((u * a(x,y,z)) * T(a(x,y,z),u)). a(x,y,L(z * R(u,w,v5),v6,v7) * v8) = a(x,y,L(z * L(u,w,v5),v6,v7) * v8). L(a(x,y,z \ u),z \ u,u \ (z \ u)) = L(a(x,y,z \ u),u * z,u). R(x,y,z) \ (L(u / R(x,y,z),w,v5) \ u) = L(x,y,z) \ (L(u / L(x,y,z),w,v5) \ u). a(x,y \ L(y,z,u),a(w,v5,y * L(y,z,u))) = 1. a(x,a(y,z,u),w * L(w,v5,a(u,z,y))) = 1. L(x \ L(x,y,a(z,u,w)),a(w,u,z),v5) = x \ L(x,y,a(z,u,w)). x * L(a(y \ L(y,z,u),w,v5),L(y,z,u) \ y,x) = (R(y,z,u) \ y) * (L(R(y,z,u) \ y,w,v5) \ x). (x * (y \ L(y,z,u))) * a(y \ L(y,z,u),w,v5) = x * L(y \ L(y,z,u),w,v5). (R(x,y,z) \ x) * (x \ (a(x \ L(x,y,z),u,w) * x)) = L(R(x,y,z) \ x,u,w). L(x \ (a(x \ L(x,y,z),u,w) * x),v5,w) = (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w). (R(x,y,z) \ x) * (u * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),w,v5))) = ((R(x,y,z) \ x) * u) * (x \ (a(x \ L(x,y,z),w,v5) * x)). a(x,y,a(z,x,y)) * L(y \ R(y,x,z),u,w) = a(y,x,z) * (y \ (a(y \ L(y,x,z),u,w) * y)). (x \ L(x,y,z)) * (u * L(L(x,y,z) \ x,w,v5)) = u * a(x \ L(x,y,z),w,v5). (a(x,y,z * L(z,u,w)) * v5) * (L(z,u,w) \ z) = v5 * L(L(z,u,w) \ z,y,x). L(a(x \ L(x,y,z),u,w),L(x,y,z) \ x,v5) = a(x \ L(x,y,z),u,w). a(x,y,z * (L(z,u,w) * L(z * L(z,u,w),v5,v6))) = a(x,y,a(z \ L(z,u,w),v5,v6)). (a(x,y,a(z,x,y)) * u) * (R(y,x,z) \ y) = u * L(R(y,x,z) \ y,y,x). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (v7 * (x * (L(L(x,u,w),u,w) \ a(x,y,z)))) * L(x \ L(x,u,w),v5,v6). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = a(x,x \ y,a(u,w,v5)). R(x * K(y,a(z,u,w) \ 1),y,L(a(z,u,w) \ 1,v5,v6)) = L(x,y,L(a(z,u,w),v5,v6)). L(x \ L(x,y \ a(z,u,w),a(z,u,w)),x,y \ a(z,u,w)) = a(x,L(y,y,a(z,u,w)),a(w,u,z)). L(1 / ((L(x,y,z) / u) \ x),u,x \ L(x,y,z)) = (L(x,y,z) \ x) \ (1 / u). (x \ ((a(y,z,u) \ x) * w)) / w = L(L(a(y,z,u) \ 1,w,x),x,w). L(a(x,y,a(z,u,w)),v5,v6) = a(L(a(z,u,w),v5,v6),y,x). L(a(x,y,a(z,u,w)),v5,v6) = a(x,y,L(a(z,u,w),v5,v6)). L(L(a(x,y,a(z,u,w)),v5,v6),L(a(z,u,w),v5,v6),v7) = L(a(x,y,a(z,u,w)),v5,v6). a(x,y,(z * u) * (u * (z * (u \ L(u,w,v5))))) = a(x,y,(z \ u) \ (z \ L(u,w,v5))). (x * (y * z)) / ((x * (y * z)) / ((1 / a(x,z,y)) * K(y,z))) = T(a(x,z,y) \ K(y,z),x). a(a(x,y,z) * L(R(x,y,z),y,z),a(u,w,v5),v6) = a(x * a(z,y,x),a(u,w,v5),v6). a(a(x,y,y),z,u) * (y \ R(y,z,u)) = L(y \ R(y,z,u),y,x). a(x,a(x,y,y),z) = a(y,y,a(x,x,z)). L(x,y,y \ L(y,x,z)) = a(x,a(x,y,y),z) * x. a(x,y,a(z,u,u)) * L(u,y,x) = L(L(u,u \ L(u,y,x),z),y,x). a(x,a(y,y,x),z) = a(x,y,a(z,x,y)). L(x,a(x,y,z),z * y) = x * a(z,y,a(y,x,x)). x * a(x,y,a(z,x,y)) = L(x,a(y,y,x),z). L(x,y,z) * a(u,a(w,v5,u),v5) = L(x,y,z) * a(w,v5,a(u,u,v5)). R(x,y,z) * a(z,y,a(x,x,y)) = x * a(x,y,z). L(x,y,z) * a(z,y,a(x,x,y)) = a(z,y,x) \ x. (x \ L(x,y,z)) * (u * a(z,y,a(x,x,y))) = a(z,y,x) \ u. a(x,a(y,y,x),z) = a(y,y,a(x,x,z)). x * a(y,a(x,x,y),z) = L(x,x,a(y,y,z)). a(a(x,x,y),z,z) = a(x,a(x,z,z),y). a(x,y,a(y,z,z)) = a(z,z,a(x,y,y)). x * a(y,y,a(x,z,z)) = L(x,z,a(y,y,z)). a(x,y,a(z,x,y)) = a(y,y,a(z,x,x)). L(L(x,y,z) \ x,u,w) * L(x,y,z) = x * a(z,y,x * L(x,u,w)). x * a(x \ L(x,y,z),u,w) = x * a(z,y,x * L(x,u,w)). a(x \ L(x,y,z),u,w) = a(z,y,x * L(x,u,w)). a(x \ L(x,y,z),u,u) = a(a(x,u,u),y,z). L(x,y,z) \ L(R(x,u,w),y,z) = a(x \ L(x,u,w),y,z) \ (x \ R(x,u,w)). L(x,y,a(z,u,y)) * a(y,a(z,u,y),L(x,w,v5)) = x * a(a(x,y,a(z,u,y)),w,v5). a(x,y,z) * L(a(x,y,z) \ (((x \ ((x * y) * z)) / z) \ a(x,y,z)),u,w) = (y \ 1) * (z \ (x \ ((x * (y * L(y \ 1,u,w))) * z))). R(L(x,y,y \ (x \ z)),u,w) * (L(x,y,y \ (x \ z)) \ z) = (z / (y * x)) * (y * R(y \ (y * x),u,w)). a(R(x,y,z) * L(L(x \ L(x,x,u),y,z),y,z),u,w) = R(x,y,z) \ R(R(x,y,z),u,w). L(x,(y * z) \ (z * a(y,z,u)),(y * z) \ (z * a(y,z,u))) = L(x,L(y,z,u) \ 1,L(y \ 1,z,u)). L(L(L(x,y,z) \ x,u,w),x,L(w * u,u,w)) = (w * (u * L(x,y,z))) \ (w * (u * x)). L(L(L(x,y,z) \ x,u,y \ 1),x,y) = a(z,y,L(x,u,y \ 1)). L(x * a(y,z,a(u,w,z)),z,a(z,a(u,w,z),y)) = z \ (L(z,a(u,w,z),y) * x). L(a(x,y,z),u \ w,(u \ w) * v5) * v5 = (v5 / ((u \ 1) \ w)) * (((u \ 1) \ w) * a(x,y,z)). L(a(x,y,z),u,u * w) * (a(w,v5,v6) \ (a(w,v5,v6) / w)) = (((a(w,v5,v6) / w) / a(w,v5,v6)) / u) * (u * a(x,y,z)). L(a(x,y,z),u,w * (a(x,y,z) * u)) * w = (w / (a(x,y,z) * u)) * ((u * a(x,y,z)) * a(x,y,z)). a(x,y,L(R(z,u,w) \ z,v5,v6) * v7) = a(x,y,L(z * L(z,u,w),v5,v6) * v7). L(a(x,y,z \ u),z \ u,u) = L(a(x,y,z \ u),u * z,u). ((x * (y * z)) \ (x * (y * R(z,u,w)))) \ (y \ ((y / z) * R(z,u,w))) = a(x,y * z,(y * L(z,u,w)) \ (y * z)). L(L(x,y,z) \ L(R(x,u,w),y,z),L(x,y,z),v5) = v5 \ (R(L(x,y,z),u,w) * (L(x,y,z) \ v5)). T((R(x,y,z) * (x \ u)) / u,x) = L(x \ R(x,y,z),x,u). a(x,y * L(y,z,u),a(w,v5,y * L(y,z,u))) = 1. L(x,a(y,z,x * L(x,u,w)),v5) * ((x \ L(x,u,w)) * 1) = L(R(x,a(y,z,x \ L(x,u,w)),v5),u,w). L(x \ L(x,y,a(z,u,w)),a(z,u,w),v5) = x \ L(x,y,a(z,u,w)). (x * (L(y,z,u) \ y)) * L(y \ L(y,z,u),w,v5) = x * a(y \ L(y,z,u),w,v5). (R(x,y,z) \ x) * a(x \ L(x,y,z),u,w) = L(R(x,y,z) \ x,u,w). L(a(x \ L(x,y,z),u,w),v5,w) = (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w). (R(x,y,z) \ x) * (u * ((x \ R(x,y,z)) \ L(x \ R(x,y,z),w,v5))) = ((R(x,y,z) \ x) * u) * a(x \ L(x,y,z),w,v5). a(x,y,a(z,x,y)) * L(y \ R(y,x,z),u,w) = a(y,x,z) * a(y \ L(y,x,z),u,w). (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) = v5 * a(x \ L(x,y,z),u,w). ((x \ L(x,y,z)) \ u) * (L(x \ L(x,y,z),w,v5) \ (x \ L(x,y,z))) = u * L(L(x,y,z) \ x,w,v5). (R(x,y,z) \ x) * (L(R(x,y,z) \ x,u,w) \ v5) = v5 * a(x \ L(x,y,z),u,w). (a(x,y,a(z,x,y)) * u) * (R(y,x,z) \ y) = u * (a(y,x,z) \ 1). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (v7 * a(x,y,z)) * (L(x \ L(x,u,w),v5,v6) * (a(w,u,x) * a(w,u,x))). R(x * 1,y,L(a(z,u,w) \ 1,v5,v6)) = L(x,y,L(a(z,u,w),v5,v6)). a(R(x,y,z) * (x \ L(x,x,u)),u,w) = R(x,y,z) \ R(R(x,y,z),u,w). a(x,L(y,y,a(z,u,w)),a(w,u,z)) = a(x,y \ a(z,u,w),a(z,u,w)). L(1 / ((L(x,y,z) / u) \ x),u,x \ L(x,y,z)) = (1 / u) * (x \ L(x,y,z)). L(L(a(x,y,L(z,z,y)) \ 1,u,w),w,u) = (w \ (((L(z,y,x) \ z) \ w) * u)) / u. L(a(a(x,y,z),u,w),v5,v6) = a(L(a(x,y,z),v5,v6),u,w). a(x,y,a(z,u,y)) * a(a(y,a(z,u,y),x),w,v5) = a(L(a(z,u,y),w,v5),y,x). a(L(a(x,y,z),u,u \ a(w,v5,a(x,y,z))),v5,w) = u * ((a(w,v5,a(x,y,z)) \ u) \ 1). a(L(a(x,y,z),u,w),z,v5) = a(v5,L(z,u,w),a(x,y,z)). x * a(L(a(y,z,u),x,x),w,v5) = (1 / x) \ a(v5,w,a(y,z,u)). x \ a(L(a(y,z,u),x,x),w,v5) = a(v5,w,a(y,z,u)) * (x \ 1). (x * (a(x,y,a(z,u,y)) \ a(L(a(z,u,y),w,v5),y,x))) * a(x,y,a(z,u,y)) = (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)). x \ (L(x,y,a(z,u,y)) * L(L(x,y,a(z,u,y)) \ x,w,v5)) = a(x,y,a(z,u,y)) \ a(L(a(z,u,y),w,v5),y,x). L(a(x,y,a(z,u,w)),v5,v6) = a(L(a(w,u,z),v5,v6),y,x). x * L(a(L(a(y,z,u),w,v5),v6,v7),L(a(y,z,u),w,v5),x) = L(a(y,z,u),w,v5) * (L(L(a(y,z,u),w,v5),v6,v7) \ x). a(L(a(x,y,z),u,w),v5,v6) \ v7 = L(a(v6,v5,a(x,y,z)),u,w) * v7. (L(a(x,y,z),u,w) \ v5) * a(L(a(x,y,z),u,w),v6,v7) = v5 * L(L(a(x,y,z) \ 1,u,w),v6,v7). L(a(a(x,y,z),u,w),v5,v6) = a(w,u,L(a(x,y,z),v5,v6)). a(x,L(y,z,u),a(w,v5,y)) = a(x,y,L(a(w,v5,y),z,u)). L(a(x,y,L(a(z,u,w),v5,v6)),v5,v6) = a(x,y,a(z,u,w)). L(a(L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),u,w),v7) = L(a(v6,v5,a(x,y,z)),u,w). a(x,a(y,z,u),L(w,v5 * a(x,a(y,z,u),w),v6)) = a(x,a(u,z,y),L(w,v5,v6)). x * a(y,a(z,u,w),L(x,v5,v6)) = L(x,a(z,u,w),L(y,v5,v6)). a(x,a(y,z,u * L(u,w,v5)),u) * ((L(u,w,v5) \ u) * 1) = L(R(u,a(y,z,L(u,w,v5) \ u),x),w,v5) \ u. a(x,y,(z \ u) \ (z \ L(u,w,v5))) = a(x,y,z * (u * (L(u,w,v5) \ z))). (x * (y * z)) / ((x * (y * z)) / (a(x,z,y) \ K(y,z))) = T(a(x,z,y) \ K(y,z),x). a(a(x,y,z) * L(L(x,y,z),y,z),a(u,w,v5),v6) = a(x * a(z,y,x),a(u,w,v5),v6). (x \ R(x,y,z)) * a(z,y,a(u,x,x)) = L(x \ R(x,y,z),x,u). a(x,y,a(z,x,y)) = a(y,y,a(x,x,z)). L(x,y,z) * a(x \ L(x,y,z),x,u) = L(L(x,x \ L(x,y,z),u),y,z). (((x / y) * (y * a(z,y \ x,y))) / a(z,y \ x,y)) \ x = a(y \ x,a(y,y,y \ x),z). x * a(y,a(x,x,y),z) = L(x,a(x,y,z),y). L(x,y,z) * a(z,y,x) = x * a(z,y,a(y,x,x)). L(x,a(y,y,x),z) = L(x,y,a(z,x,y)). a(x,a(y,z,x),z) = a(x,x,a(y,z,z)). L(x,y,z) * a(x,x,a(z,y,y)) = a(z,y,x) \ x. L(x \ L(x,y,z),u,w) * (v5 * a(z,y,a(R(x,u,w),R(x,u,w),y))) = a(z,y,R(x,u,w)) \ v5. a(x,x,a(x \ y,x \ y,z)) = a(x \ y,a(x,x,y),z). x * a(y,z,a(z,x,x)) = L(x,x,a(z,z,y)). a(x * y,x * y,a(z,y,y)) = a(z,y,a(x,y * x,y)). a(x,y,a(z,x,y)) * u = a(y,y,a(z,x,x)) * u. a(x,L(y,z,u),a(w,x,L(y,z,u))) = a(y,y,a(w,x,x)). a(x,y,a(L(z,u,x),x,y)) = a(y,y,a(z,x,x)). a(x,y,a(z,x,y)) * u = u * a(y,y,a(x,x,z)). a(x,x,a(y,z,z)) * x = L(x,a(y,z,x),z). x * a(y,z,x * L(x,u,w)) = x * a(w,u,x * L(x,z,y)). a(x \ L(x,a(y,z,u),w),v5,v6) = a(x * L(x,v5,v6),a(u,z,y),w). L(x \ 1,x,y) \ (((y * x) \ y) * a(z,u,((y * x) \ y) * L((y * x) \ y,w,v5))) = a(((y * x) \ y) \ L((y * x) \ y,u,z),w,v5). (L(x,y,z) * a(u,w,L(x,y,z) * L(L(x,y,z),v5,v6))) / L(x,y,z) = (x * a(L(x,y,z) \ L(L(x,y,z),w,u),v5,v6)) / x. (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a((L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,u),w,v5). x * a(x \ L(x,y,L(z,z,y)),u,w) = x * (z \ R(z,y,x * L(x,u,w))). a(L(x,y,z) \ x,u,w) = a(z,y,x * L(x,u,w)). a(x,y \ L(y,z,x),u) = a(x,z,y * L(y,x,u)). a(x,x,y * L(y,z,u)) = a(a(y,x,x),z,u). L(x \ L(x,a(y,z,u * L(u,w,v5)),v6),x,v6 * a(y,z,u * L(u,w,v5))) = a(x,a(u \ L(u,z,y),w,v5),v6). L(x,a(y * L(y,z,u),w,v5),v6) = L(x,a(u,z,y * L(y,w,v5)),v6). a(x,y,z * L(z,a(u,w,v5),v6)) \ v6 = L(v6,a(u,w,v5),z * L(z,y,x)). a(x,y,z * L(z,u,w)) * v5 = a(w,u,z * L(z,y,x)) * v5. (L(x,y,z) \ x) * a(z,y,x * L(x,u,w)) = L(L(x,y,z) \ x,u,w). a(x,y,z * L(z,u,(w \ u) * u)) \ w = L(w,u,z \ L(z,y,x)). L(x,y,z) * a(z,y,x * L(x,u,w)) = x * L(x \ L(x,y,z),u,w). L(L(x,y,z \ L(z,u,w)),z \ L(z,u,w),y) = x * a(w,u,z * L(z,x,y)). a(x,y,z * (L(z,u,w) * L(z * L(z,u,w),v5,v6))) = a(x,y,a(w,u,z * L(z,v5,v6))). a(x,x,L(y,z,u) \ y) = a(a(y,x,x),z,u). L(x,y,z) \ L(R(x,u,w),y,z) = a(x \ L(x,u,w),y,z) * (x \ R(x,u,w)). a(x,y,z) * L(a(x,y,z) \ (((x \ ((x * y) * z)) / z) \ a(x,y,z)),u,w) = (y \ 1) * (z \ (x \ ((x * (y \ L(y,u,w))) * z))). L(1 / (K(x,y) / y),L(1 / (1 / y),z,u),w) = T(1 / (a(w,y,L(y,z,u)) / y),x). (L(x,y,z) \ x) * a(u,x,w) = x * (L(x,y,z) \ a(u,x,w)). a(x,y,z) * (L(y,u,w) \ y) = y * (L(y,u,w) \ a(x,y,z)). R(L(x,y,y \ (x \ z)),u,w) * (L(x,y,y \ (x \ z)) \ z) = (z / (y * x)) * (y * R(x,u,w)). L(x,(y * z) \ (z * a(y,z,u)),(y * z) \ (z * a(y,z,u))) = L(x,L(y \ 1,z,u),L(y \ 1,z,u)). L(L(L(x,x,y) \ x,R(y,x,x),z),x,L(z * R(y,x,x),R(y,x,x),z)) = (z * (y * x)) \ (z * (R(y,x,x) * x)). L(a(x,y,z),u,y \ 1) = a(x,y,L(z,u,y \ 1)). L(x * a(y,z,a(u,w,z)),z,a(z,a(u,w,z),y)) = (x / z) * L(z,a(u,w,z),y). (x * y) * (z * L(z \ L(z,y,x),u,w)) = x * ((y * z) * a(w,u,a(x,y,z))). L(a(x,y,z \ u),z \ u,z) = L(a(x,y,z \ u),u * z,u). x \ (L(a(y,z,x \ u),u * x,u) \ u) = a(y,z,x \ u) \ (x \ u). ((x * (y * z)) \ (x * (y * R(z,u,w)))) \ (y \ ((y / z) * R(z,u,w))) = a(x,y * z,y \ (z * (L(z,u,w) \ y))). L((x \ 1) \ R(x \ 1,y,z),x \ 1,u) = L(x * R(x \ 1,y,z),x,x \ u). (x * y) \ (R(L(z,y,x),u,w) * (L(z,y,x) \ (x * y))) = (x * (y * z)) \ ((x * y) * L(R(z,u,w),y,x)). L(L(x,y,z) \ L(R(x,u,w),y,z),L(x,y,z),v5) = v5 \ (L(R(x,u,w),y,z) * (L(x,y,z) \ v5)). a(x,y * L(y,z,u),a(y * L(y,z,u),w,v5)) = 1. L(x,a(y,z,x * L(x,u,w)),v5) * (x \ L(x,u,w)) = L(R(x,a(y,z,x \ L(x,u,w)),v5),u,w). (x \ L(x,y,z)) * (u * a(x \ L(x,y,z),w,v5)) = L(L(x,y,z) / x,w,v5) * u. x * (R(x,y,z) \ L(x \ R(x,y,z),u,w)) = a(x \ L(x,y,z),u,w). (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = a(x \ L(x,y,z),u,w). (R(x,y,z) \ x) * (u * (x \ (R(x,y,z) * L(R(x,y,z) \ x,w,v5)))) = ((R(x,y,z) \ x) * u) * a(x \ L(x,y,z),w,v5). (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5) = v5 * a(x \ L(x,y,z),u,w). (x * (L(y,z,u) \ y)) * (L(y \ L(y,z,u),w,v5) \ (y \ L(y,z,u))) = x * L(L(y,z,u) \ y,w,v5). (a(x,y,a(z,x,y)) * u) * (R(y,x,z) \ y) = a(y,x,z) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (v7 * a(x,y,z)) * L((x \ L(x,u,w)) * (a(w,u,x) * a(w,u,x)),v5,v6). R(x,y,L(a(z,u,w) \ 1,v5,v6)) = L(x,y,L(a(z,u,w),v5,v6)). L((x \ L(x,y,z)) / u,u,x \ L(x,y,z)) = (1 / u) * (x \ L(x,y,z)). (a(x,y,z) \ ((L(u,u,a(x,y,z)) \ (((u \ a(x,y,z)) * (u * u)) * w)) / w)) * w = L(w,a(z,y,x),L(u,u,a(x,y,z))). a(x,y,z) * (u * (a(x,y,z) \ a(L(a(x,y,z),w,v5),a(z,y,x),L(u,v6,v7)))) = L(u,a(x,y,z) * L(L(a(x,y,z),w,v5),v6,v7),a(x,y,z)). a(x,a(y,z,u),L(w,v5,v6)) \ w = L(w,a(u,z,y),L(x,v5,v6)). a(x,a(y,z,u),L(w,x,a(y,z,u))) = a(x,a(y,z,u),w). L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),L(y,u,w)) = L(1 / L(x \ L(x,y,z),u,w),x,y) \ 1. L(L(a(x,y,L(z,z,y)) \ 1,u,w),w,u) = (w \ ((w * (z \ L(z,y,x))) * u)) / u. a(a(x,y,y) \ R(y,z,u),x,w) = R(y,z,u) \ R(R(y,z,u),x,w). a(L(a(x,y,z),u,w),v5,v6) * v7 = v7 * L(a(a(x,y,z),v5,v6),u,w). L(((x * a(y,z,u)) \ (a(y,z,u) * (w * x))) \ T(w,x),v5,v6) = L(a(L(a(y,z,u),v5,v6),x,w),T(w,x),x). a(L(a(x,y,z),u,u \ a(w,v5,a(x,y,z))),v5,w) = u * ((u * a(w,v5,a(x,y,z))) \ 1). a(L(a(x,y,z),u,w),z,v5) = a(z,a(x,y,z),L(v5,u,w)). (1 / x) \ a(y,z,a(u,x,w)) = x * a(a(u,x,w),z,y). a(L(a(x,y,z),u,w),v5,v6) = a(v6,v5,L(a(z,y,x),u,w)). a(L(a(x,y,z),u,w),v5,v6) \ v7 = a(L(a(x,y,z),u,w),v5,v6) * v7. a(L(x,y,z),u,a(w,v5,u)) = a(x,u,L(a(w,v5,u),y,z)). a(x,a(y,z,u),L(y,w,v5)) = a(x,y,L(a(u,z,y),w,v5)). a(x,y,L(a(z,u,w),x,y)) = x \ L(x,y,a(z,u,w)). L(a(L(a(x,y,z),u,w),v5,v6),L(a(x,y,z),u,w),v7) = a(L(a(x,y,z),u,w),v5,v6). a(x,a(y,z,u),L(w,v5,v5)) \ a(x,a(y,z,u),w) = a(v5,v5 * a(x,a(y,z,u),w),a(x,a(y,z,u),w)). x * a(y,a(z,u,y),L(x,w,v5)) = L(x,L(y,w,v5),a(z,u,y)). a(x,a(y,z,u * L(u,w,v5)),u) * (L(u,w,v5) \ u) = L(R(u,a(y,z,L(u,w,v5) \ u),x),w,v5) \ u. a(x,y,(z \ L(u,w,v5)) \ (z \ u)) = a(x,y,z * (u * (L(u,w,v5) \ z))). (x * (y * z)) / (a(x,z,y) * ((x * (y * z)) * K(z,y))) = T(a(x,z,y) \ K(y,z),x). a(a(x,y,z) * x,a(u,w,v5),v6) = a(x * a(z,y,x),a(u,w,v5),v6). a(x,y,z) * a(z,z,a(y,y,x)) = L(z,y,x) \ z. a(x,x,a(y,y,z)) * a(x,y,z) = x \ R(x,y,z). a(x,y,z) \ a(x,x,a(y,y,z)) = R(x,y,z) \ x. a(x,x,a(y,y,z)) * (L(a(x,x,a(y,y,z)),u,w) \ v5) = v5 * a(w,u,a(y,x,a(z,y,x))). (x \ R(x,y,z)) * (a(x,y,z) \ u) = a(x,x,a(y,y,z)) * u. L(a(x,x,a(y,y,z)),u,w) = a(x,a(x,y,z),L(y,u,w)). a(x,x,a(y,y,z)) * L(x \ R(x,y,z),u,w) = a(x,y,z) * a(x \ L(x,y,z),u,w). (((x / y) * (y * a(z,y \ x,y))) / a(z,y \ x,y)) \ x = a(y \ x,a(y,y,x),z). L(x,a(x,y,z),y) = L(x,x,a(y,y,z)). L(x,y,a(z,x,y)) \ (L(x,y,y) * z) = a(y,y,x) \ z. L(x,y,z) \ a(x,x,a(z,y,y)) = x \ a(z,y,x). L(x \ L(x,y,z),u,y) \ a(x,x,a(z,y,y)) = L(a(z,y,x),u,y). L(x,L(y,z,u),L(y,w,v5)) * a(x,x,a(y,L(y,z,u),y)) = a(L(y,w,v5),L(y,z,u),x) \ x. L(x \ L(x,y,z),u,w) * (v5 * a(z,y,a(x,x,y))) = a(z,y,R(x,u,w)) \ v5. L(x,y,z) * a(z,y,x) = L(x,x,a(y,y,z)). L(x,y,z) \ L(x,x,a(y,y,z)) = a(z,y,x). a(x,y,L(z,u,w)) \ L(L(z,y,x) \ z,u,w) = a(z,z,a(x,y,y)). a(x,x,a(y,z,z)) * L(L(x,z,y) \ x,u,w) = a(y,z,L(x,u,w)). a(x,y,z) * a(x,x,a(y,y,z)) = x \ R(x,y,z). (x \ L(x,y,z)) * (u * a(x,x,a(y,y,z))) = a(z,y,x) \ u. L(x,a(y,z,x),z) = L(x,x,a(y,z,z)). a(x,a(y,z,u),w * L(w,v5,v6)) = a(v6,v5,w * L(w,a(u,z,y),x)). a(x * L(x,y,z),a(u,w,v5),v6) = a(a(x,a(v5,w,u),v6),y,z). L(x \ 1,x,y) \ (((y * x) \ y) * a(z,u,(y \ (x \ y)) * L((y * x) \ y,w,v5))) = a(((y * x) \ y) \ L((y * x) \ y,u,z),w,v5). (L(x,y,z) * a(u,w,L(x * L(x,v5,v6),y,z))) / L(x,y,z) = (x * a(L(x,y,z) \ L(L(x,y,z),w,u),v5,v6)) / x. (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a(L(x,y,z) \ (x * L(x \ L(x,y,z),x,u)),w,v5). x * a(L(R(y,z,x) \ y,x,z),u,w) = x * (y \ R(y,z,x * L(x,u,w))). a(L(x,y,z) \ x,u,u) = a(z,y,a(x,u,u)). a(a(x,y,y),z,z) = a(y,y,a(x,z,z)). L(x,a(y,z,u),w * L(w,v5,v6)) = a(v6,v5,a(w,a(y,z,u),x)) \ x. a(x,y,L(z,u,w) * (z \ L(z \ L(z,u,w),v5,v6))) * v7 = a(v6,v5,(z \ L(z,u,w)) * L(z \ L(z,u,w),y,x)) * v7. a(x,y,z * L(z,u,(w \ u) * u)) * w = L(w,u,z \ L(z,y,x)). (L(x,y,z) \ x) * a(z,y,a(x,a(u,w,v5),v6)) = L(L(x,y,z) \ x,a(u,w,v5),v6). (x \ 1) * (y \ (z \ ((z * (x \ L(x,u,w))) * y))) = a(z,x,y) * L(a(z,x,y) \ (x \ 1),u,w). L(1 / (K(x,y) / y),L((1 / y) \ 1,z,u),w) = T(1 / (a(w,y,L(y,z,u)) / y),x). (x * a(y,x,a(z,u,w))) * (x \ L(x,y,a(w,u,z))) = L(x,a(w,u,z),y). a(x,y,a(z,L(u,u,z),L(u,u,z) * (L(u,u,z) * (w \ L(u,u,z))))) = a(x,y,(L(u,u,z) \ w) * ((z / (u \ 1)) \ (z * w))). a(x,y,(z * u) \ ((z \ (u \ w)) \ w)) = a(x,y,a((u \ w) * z,z,u)). 1 * a(x,(y / z) \ 1,z \ y) = a(x,z * (y \ 1),y * z). (x / ((y \ 1) \ z)) * (((y \ 1) \ z) * a(u,w,v5)) = (x / (y \ z)) * ((y \ z) * a(u,w,v5)). L(a(x,y,z),u,w * (a(x,y,z) * u)) * w = (w / (a(x,y,z) * u)) * (z * (L(L(z,y,x),y,x) \ u)). L(x,y,y \ (x \ 1)) \ R(L(x,y,y \ (x \ 1)),z,u) = (1 / (y * x)) * (y * R(x,z,u)). L(x,(y * z) \ (z * a(y,z,u)),(y * z) \ (z * a(y,z,u))) = L(x,y \ 1,y \ 1). L(L(a(x,y,y),R(x,y,y),z),y,L(z * R(x,y,y),R(x,y,y),z)) = (z * (x * y)) \ (z * (R(x,y,y) * y)). a(x,y,L(z,x,y \ 1)) = x \ R(x,y,z). L(x * a(y,z,a(u,w,z)),z,a(z,a(u,w,z),y)) = z * (L(z,a(u,w,z),y) \ x). L(x * R(x \ 1,y,z),x \ 1,u) = L(x * R(x \ 1,y,z),x,x \ u). (x * y) \ (R(L(z,y,x),u,w) * (L(z,y,x) \ (x * y))) = (x * (y * z)) \ (x * (y * R(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. (R(x,y,z) \ x) * (u * L(x \ R(x,y,z),w,v5)) = u * a(x \ L(x,y,z),w,v5). a(x \ L(x,y,z),u,w) * (x \ R(x,y,z)) = L(x \ R(x,y,z),u,w). (R(x,y,z) \ x) * (u * (x \ (a(x \ L(x,y,z),w,v5) * x))) = ((R(x,y,z) \ x) * u) * a(x \ L(x,y,z),w,v5). (x * (L(y,z,u) \ y)) * a(w,v5,y * L(y,z,u)) = x * L(L(y,z,u) \ y,v5,w). (L(R(x,y,z) \ x,x,y) \ (R(x,y,z) \ x)) * (u * (R(x,y,z) \ x)) = a(x,y,z) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (v7 * a(x,y,z)) * L(L(L(x,u,w),u,w) \ L(x,u,w),v5,v6). R(x,y,L(a(z,u,w),v5,v6)) = L(x,y,L(a(z,u,w),v5,v6)). 1 / (x * (L(y,z,u) \ y)) = (1 / x) * (y \ L(y,z,u)). (a(x,y,z) \ ((L(u,u,a(x,y,z)) \ (((1 / u) \ a(x,y,z)) * w)) / w)) * w = L(w,a(z,y,x),L(u,u,a(x,y,z))). a(x,y,z) * (u * (a(x,y,z) \ a(a(x,y,z),a(x,y,z),L(L(u,w,v5),v6,v7)))) = L(u,a(x,y,z) * L(L(a(x,y,z),v6,v7),w,v5),a(x,y,z)). x * (L(x,y,a(z,u,w)) \ a(y,x,a(z,u,w))) = a(y,a(z,u,w),x). L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),L(y,u,w)) = L(L(x \ L(x,y,z),u,w) \ 1,x,y) \ 1. (x \ ((x * (y \ L(y,z,u))) * w)) / w = L(L((L(y,z,u) \ y) \ 1,w,x),x,w). L(((x * a(y,z,u)) \ (a(y,z,u) * (w * x))) \ T(w,x),v5,v6) = L(a(L(a(y,z,u),v5,v6),x,w),w,x). x * ((x * a(y,z,a(u,w,v5))) \ 1) = a(L(a(u,w,v5),x,x),z,y). a(x,y,a(z,u,y)) * a(a(y,a(z,u,y),x),w,v5) = a(y,a(z,u,y),L(x,w,v5)). (L(a(x,y,z),u,w) * v5) \ ((L(a(x,y,z),u,w) * z) * T(v5,z)) = L(z * a(z,a(x,y,z),L(v5,u,w)),v5,L(a(x,y,z),u,w)). a(x,a(L(y,y,z),z,x),L(u,w,v5)) = a(L(y \ R(y,z,x),w,v5),x,u). R(x,y,L(a(z,u,y),w,v5)) * a(y,a(z,u,y),L(a(x,x,y),w,v5)) = x * a(x,y,L(a(z,u,y),w,v5)). (x * (a(x,y,a(z,u,y)) \ a(y,a(z,u,y),L(x,w,v5)))) * a(x,y,a(z,u,y)) = (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)). x \ (L(x,y,a(z,u,y)) * L(L(x,y,a(z,u,y)) \ x,w,v5)) = a(x,y,a(z,u,y)) \ a(y,a(z,u,y),L(x,w,v5)). L(x,y,L(a(z,u,y),w,v5)) * a(x,x,a(y,a(z,u,y),L(y,w,v5))) = a(L(a(z,u,y),w,v5),y,x) \ x. x \ (L(a(y,x,z),u,w) \ a(y,x,z)) = (x * a(a(y,x,z),u,w)) \ 1. L(x,y,L(a(z,u,w),v5,v6)) \ x = x \ L(x,y,L(a(z,u,w),v5,v6)). a(x,a(y,z,u),L(y,w,u)) = a(x,y,a(u,z,y)). (L(a(x,y,z),u,w) \ w) * (u \ L(u,w,a(x,y,z))) = u \ ((a(x,y,z) \ u) * w). L(a(x,y,z),u,w) * (L(L(a(x,y,z),u,w),v5,v6) \ v7) = v7 * a(L(a(x,y,z),u,w),v5,v6). x * a(x,L(y,z,u),a(w,v5,y)) = L(x,L(y,z,u),a(w,v5,y)). (x * (y * z)) / (a(x,z,y) * (x * (z * y))) = T(a(x,z,y) \ K(y,z),x). a(x,y,z) * (u * a(x * a(z,y,x),a(x,y,z),u)) = (a(x,y,z) \ x) \ (x * u). a(x,x,a(y,y,z)) * L(a(x,y,z),u,w) = (x \ R(x,y,z)) * a(w,u,a(x,y,z)). a(x,y,a(z,z,a(u,u,w))) * v5 = v5 * a(x,y,a(u,z,a(w,u,z))). (R(x,y,z) \ x) * (a(x,x,a(y,y,z)) * u) = a(x,y,z) \ u. a(x,a(x,y,z),L(y,u,w)) = a(x,x,L(a(y,y,z),u,w)). a(x,x,a(y,y,z)) * L(x \ R(x,y,z),u,w) = a(x,y,z) * a(z,y,x * L(x,u,w)). (((x / y) * (y * a(z,y \ x,y))) / a(z,y \ x,y)) \ x = a(x * y,a(y,y,x),z). L(x,a(y,z,x),z) = L(x,x,a(z,z,y)). a(x,x,a(y,z,z)) * L(L(x,z,y) \ x,u,z) = L(a(y,z,x),u,z). a(L(x,y,z),L(x,u,w),v5) \ v5 = L(v5,L(x,u,w),L(x,y,z)). L(x \ L(x,y,z),u,w) * (v5 * a(z,y,a(x,x,y))) = a(z,y,L(x,u,w)) \ v5. L(x,y,z) \ L(x,x,a(z,y,y)) = a(z,y,x). a(x,y,z) * L(z,y,x) = L(z,z,a(y,y,x)). L(x,L(y,z,u),a(u,z,y)) * L(y,y,a(z,z,u)) = a(u,z,y) * (x * L(y,z,u)). L(x,x,a(y,y,z)) \ L(x,y,z) = a(z,y,x) \ 1. L(x,y,(z \ 1) \ u) \ L(x,x,a(y,y,z \ u)) = a((z \ 1) \ u,y,x). L(x,y,L(z * u,u,z)) \ L(x,x,a(y,y,u \ z)) = a(L(z * u,u,z),y,x). L(x,L(y,z,u),w) \ L(x,x,a(y,y,w)) = a(w,L(y,z,u),x). L(L(x,y,z) \ x,u,w) \ a(x,x,a(z,y,y)) = a(z,y,L(x,u,w)) \ 1. a(L(x \ a(y,z,y),u,w),L(x \ a(y,z,y),u,w),a(v5,v6,v6)) * L(L(L(x \ a(y,z,y),u,w),v6,v5) \ L(x \ a(y,z,y),u,w),v7,v8) = a(v5,v6,L(L(x,u,w),v7,v8)). a(x,x,a(L(y,z,u),y,y)) * L(L(x,y,L(y,z,u)) \ x,w,v5) = a(y,L(y,z,u),L(x,w,v5)). a(x,y,a(z,x,y)) * L(L(y,x,z) \ y,u,w) = a(z,x,L(y,u,w)). a(L(x,y,z),(y * z) \ (z * (x * y)),a(u,w,w)) * L(L((y * z) \ (z * (x * y)),w,u) \ ((y * z) \ (z * (x * y))),v5,v6) = a(u,w,L((y * z) \ (z * (x * y)),v5,v6)). a(x,x,a(y,z,z)) \ ((L(x,z,y) \ x) * (L(L(x,z,y) \ x,u,w) \ a(x,x,a(y,z,z)))) = a(y,z,L(x,u,w)) \ (a(x,x,a(y,z,z)) * (L(x,z,y) \ x)). a(x,x,a(y,y,z)) * L(L(x,y,z) \ x,u,w) = a(z,y,L(x,u,w)). a(x,y,L(z,u,x)) = a(z,z,a(x,y,y)) * (L(z,y,x) \ z). a(x * R(y,z,u),x * L(y,z,u),a(w,v5,v5)) * L(L(x * R(y,z,u),v5,w) \ (x * R(y,z,u)),v6,v7) = a(w,v5,L(x * R(y,z,u),v6,v7)). a(x,y,a(y,z,z)) * L(L(z,y,x) \ z,u,w) = a(x,y,L(z,u,w)). a(L(a(x,y,z) \ a(x,x,a(y,y,z)),u,w),v5,v6) = a(L(x \ R(x,y,z),u,w),v5,v6). (x \ L(x,y,z)) * ((u * a(x,x,a(y,y,z))) * a(w,v5,x \ L(x,y,z))) = (a(z,y,x) \ u) * a(w,v5,x \ L(x,y,z)). L(x \ L(x,y,z),u,w) * (v5 * a(R(x,u,w),R(x,u,w),a(y,y,z))) = a(z,y,R(x,u,w)) \ v5. a(x,y,z) * L(x,x,a(z,y,y)) = R(x,y,z). a(x,y,z) \ L(z,z,a(x,y,y)) = L(z,y,x). L(x,x,a(y,z,z)) * a(x,z,y) = R(x,z,y). L(x,x,a(y,z,z)) \ R(x,z,y) = a(x,z,y). a(x,a(y,z,u),w * L(w,v5,v6)) = a(v6,v5,a(w,a(u,z,y),x)). L(x \ 1,x,y) \ (((y * x) \ y) * a(z,u,y \ (x * (L(x,w,v5) \ y)))) = a(((y * x) \ y) \ L((y * x) \ y,u,z),w,v5). (x * a(L(x,y,z) \ L(L(x,y,z),u,w),v5,v6)) / x = a(w,u,L(x * L(x,v5,v6),y,z)). (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a(a(u,x,L(x,y,z) * x) \ 1,w,v5). x * a(L(R(y,z,x) \ y,x,z),u,w) = x * (y \ L(y,z,x \ L(x,u,w))). a(x,y,a(z,y,y)) = 1. a(a(x,x,y),z,z) = a(x,x,a(y,z,z)). a(x,a(y,y,x),z) = a(x,x,a(z,y,y)). a(x,y,a(z,z,y)) = a(y,y,a(x,z,z)). a(x,x,a(y,z,z)) = a(z,z,a(x,x,y)). a(x,x,a(y,z,z)) = a(z,z,a(y,x,x)). L(x,a(y,z,u),w * L(w,v5,v6)) = x * a(v6,v5,a(w,a(y,z,u),x)). a(x,y,z * L(z,u,u * (w \ u))) * w = L(w,u,z \ L(z,y,x)). (x \ 1) * (y \ (z \ ((z * (x \ L(x,u,w))) * y))) = a(z,x,y) * L(x \ (a(z,x,y) \ 1),u,w). x * L((y / z) \ (y * L(y \ (y / z),y,u)),w,v5) = a(u,y,y * (L(z,w,v5) \ y)) \ x. a(x,y,a(z,L(u,u,z),u * (L(L(u,u,z),u,z) * (w \ L(u,u,z))))) = a(x,y,(L(u,u,z) \ w) * ((z / (u \ 1)) \ (z * w))). a(x,y,(z * u) \ ((z \ (u \ w)) \ w)) = a(x,y,a(u,z,(u \ w) * z)). 1 * a(x,(y \ z) \ 1,y \ z) = a(x,y * (z \ 1),z * y). (a(x,y,z) * ((u \ 1) \ w)) * (((u \ 1) \ w) \ v5) = (v5 / (u \ w)) * ((u \ w) * a(x,y,z)). L(a(x,y,z),u,w * (a(x,y,z) * u)) * w = u * ((a(x,y,z) \ u) \ w). L(x,y,y \ (x \ 1)) \ L(R(x,z,u),y,y \ (x \ 1)) = (1 / (y * x)) * (y * R(x,z,u)). a(a(x,y,y) \ L(y,z,u),x,w) = R(y,z,u) \ R(R(y,z,u),x,w). L(x,y \ (z \ (y * a(z,y,u))),y \ (z \ (y * a(z,y,u)))) = L(x,z \ 1,z \ 1). L(L(a(x,y,y),L(x,y,y),z),y,L(z * R(x,y,y),R(x,y,y),z)) = (z * (x * y)) \ (z * (R(x,y,y) * y)). a(x,y,L(z,x,y)) = x \ R(x,y,z). a(x,y,a(z,u,x \ R(x,w,v5))) = 1. L(x * R(x \ 1,y,z),x,x \ u) = L(x * R(x \ 1,y,z),x,u). (x * y) \ (L(R(z,u,w),y,x) * (L(z,y,x) \ (x * y))) = (x * (y * z)) \ (x * (y * R(z,u,w))). L(x \ L(x,y,z),a(u,w,x * L(x,y,z)),v5) = (x \ L(x,y,z)) * 1. x * (L(x,a(y,z,x * L(x,u,w)),v5) \ L(x,u,w)) = L(R(x,a(y,z,x \ L(x,u,w)),v5),u,w). x * (L(x,y,z) \ a(u,a(w,v5,x * L(x,y,z)),x)) = L(R(x,a(w,v5,L(x,y,z) \ x),u),y,z) \ x. x * (a(y,x,a(z,u,w)) * (x \ L(x,y,a(w,u,z)))) = L(x,a(w,u,z),y). (x \ L(x,y,z)) * (u * a(w,v5,x * L(x,y,z))) = L(x \ L(x,y,z),v5,w) * u. L(R(x,y,z) \ x,u,w) \ v5 = v5 * L(x \ 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). ((R(x,y,z) \ x) * u) * a(x \ L(x,y,z),w,v5) = (R(x,y,z) \ x) * (u * a(x \ L(x,y,z),w,v5)). a(x \ L(x,y,z),u,w) * (v5 * (L(x,y,z) \ x)) = v5 * L(L(x,y,z) \ x,u,w). ((a(x,y,z) \ 1) \ (R(x,y,z) \ x)) * (u * (R(x,y,z) \ x)) = a(x,y,z) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (v7 * a(x,y,z)) * L(L(L(x,u,w) \ x,u,w),v5,v6). L(x \ L(x,y,L(a(z,u,w),y,v5)),x,v5 \ ((v5 * y) * a(z,u,w))) = a(x,y,L(a(z,u,w),y,v5)). L(L(x,y,L(a(z,u,w),y,y)) \ x,x,(1 / y) \ a(z,u,w)) = a(x,y,L(a(z,u,w),y,y)) \ 1. ((1 / x) * (y \ L(y,z,u))) \ 1 = x * (L(y,z,u) \ y). L(x,a(y,z,u),L(w,w,a(u,z,y))) = (a(u,z,y) \ (a(u,z,y) * a(w,a(u,z,y),x))) * x. L(x,a(y,z,u) * L(L(a(y,z,u),w,v5),v6,v7),a(y,z,u)) = a(y,z,u) * (x * (a(y,z,u) \ 1)). L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),L(y,u,w)) = L(L(L(x,y,z) \ x,u,w),x,y) \ 1. a(x,y,a(z,y,y)) = u \ u. a(x,a(y,x,x),z) = 1. a(x,a(x,x,y),z) = 1. a(x,y,a(y,y,z)) = 1. a(x,y,a(z,y,L(y,u,w))) = 1. L(a(x,y,y),y,z) = a(x,y,y). 1 * ((L(1 / x,x,y) \ 1) * z) = x * (z * a(y,x,x)). L(x,a(y,z,z),z) = x. a(x,x,a(y,y,L(z,x,u))) = a(x,x,a(y,y,z)) * 1. a(x,y,a(y,y,z)) = u \ u. L(x,y,a(z,y,y)) = x. (x * a(y,x,x)) * z = x * (a(y,x,x) * z). a(x * (a(y,x,x) * z),u,w) = a(z * (x * a(y,x,x)),u,w). L(x,a(y,z,z),L(z,u,w)) = x. (a(x,x,y) \ z) * x = z * (a(x,x,y) \ x). L(x,y,a(y,y,z)) = x. (x * a(y,x,x)) \ z = x \ (a(y,x,x) \ z). L(x,y,a(a(z,y,y),u,w)) = x. x * (a(x,x,y) * z) = R(x,x,y) * z. L(x,y \ (z \ y),z) = L(x,z \ 1,z). R(x,x,y) * (x \ z) = a(x,x,y) * z. a(x,y,y) * (z * L(y,y,x)) = z * y. a(x \ y,x,x) \ (z * (1 / (y \ (y / x)))) = z * x. a(x,y,L(y,y,z)) = a(x,y,y). x * (L(x,x,y) \ z) = z * a(y,x,x). L(x,a(y,x,x),z) = x. x * (y * a(x,x,z)) = R(x,x,z) * y. R(a(x,y,y),a(z,y,y),u) = a(x,y,y). a(x,x,L(y,x,z)) = a(x,x,y). a(x,x,y) \ (R(x,x,y) * z) = x * z. L(a(x,y,L(y,z,u)),y,w) = a(x,y,L(y,z,u)). a(x,y,y) * (y \ z) = L(y,y,x) \ z. (x / y) * L(y,y,z) = a(z,y,y) \ x. (x \ ((x * (y \ L(y,z,u))) * w)) / w = L(L(y \ L(y,z,u),w,x),x,w). L(((x * a(y,z,u)) \ (a(y,z,u) * (w * x))) \ T(w,x),v5,v6) = L(w,x,L(a(y,z,u),v5,v6)) \ w. x \ a(L(a(y,z,u),x,x),w,v5) = (x * a(v5,w,a(y,z,u))) \ 1. L(x * a(x,a(y,z,x),L(u,w,v5)),u,L(a(y,z,x),w,v5)) = (L(a(y,z,x),w,v5) * u) \ (u * (x * L(a(y,z,x),w,v5))). a(L(x \ R(x,y,z),u,w),z,v5) = a(z,x \ L(x,y,z),L(v5,u,w)). L(x,y,L(a(z,u,y),w,v5)) * a(y,a(z,u,y),L(a(x,x,y),w,v5)) = x * a(x,y,L(a(z,u,y),w,v5)). (x * (a(y,a(z,u,y),L(x,w,v5)) * a(x,y,a(z,u,y)))) * a(x,y,a(z,u,y)) = (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)). x \ (L(x,y,a(z,u,y)) * L(L(x,y,a(z,u,y)) \ x,w,v5)) = a(y,a(z,u,y),L(x,w,v5)) * a(x,y,a(z,u,y)). L(x,y,L(a(z,u,y),w,v5)) * a(x,x,a(y,a(z,u,y),y)) = a(L(a(z,u,y),w,v5),y,x) \ x. L(x,y,z) * a(u,x,a(z,w,x)) = L(L(x,y,z),a(z,w,x),u). (L(a(x,y,z),u,w) \ v5) * a(L(a(x,y,z),u,w),v6,v7) = L(L(a(x,y,z),u,w),v6,v7) \ v5. (x * (y * z)) / ((x * z) * y) = T(a(x,z,y) \ K(y,z),x). a(x,y,z) * (u * a(x,a(z,y,x),a(z,y,x) * u)) = (a(x,y,z) \ x) \ (x * u). a(x,x,a(y,y,z)) * L(a(x,y,z),u,w) = R(x,y,z) * (x \ a(w,u,a(x,y,z))). (R(x,y,z) \ x) * (u * a(x,x,a(y,y,z))) = a(x,y,z) \ u. a(x,a(x,y,z),L(y,u,w)) = a(x,x,a(y,y,L(z,u,w))). L(x \ R(x,y,z),u,w) * a(x,x,a(y,y,z)) = a(x,y,z) * a(z,y,x * L(x,u,w)). (a(x \ y,x,a(z,x \ y,x)) * y) \ y = a(y * x,a(x,x,y),z). a(x,y,z) * L(x,x,a(y,y,z)) = R(x,y,z). L(x,x,a(y,y,z)) \ R(x,y,z) = a(x,y,z). L(x,L(y,z,u),a(y,z,u)) * L(y,y,a(z,z,u)) = (a(y,z,u) \ x) * R(y,z,u). L(a(x,y,z),u,y) = a(x,y,L(z,u,y)). L(x \ L(x,y,z),u,w) * a(y,a(x,x,y),z) = a(z,y,L(x,u,w)) \ 1. L((L(x,y,z) \ x) \ L(L(x,y,z) \ x,u,w),v5 * x,v5 * x) * (v6 * a(w,u,a(L(x,y,z) \ x,L(x,y,z) \ x,u))) = a(w,u,(v5 \ L(x,y,z)) \ (v5 \ x)) \ v6. L(x,y,z * (y \ 1)) \ L(x,x,a(z * (y \ 1),y,y)) = (y * x) \ ((z * (1 / y)) \ (R(z,y \ 1,y) * x)). a(L(x,y,y),y,z) \ L(z,z,a(x,y,y)) = L(z,y,L(x,y,y)). (R(x,y,z) \ a(x,y,z)) * x = (x \ 1) * L(x,x,a(y,y,z)). L(x,x,1) \ L(x,y \ z,a(z,y,y)) = a(a(z,y,y),y \ z,x) \ 1. L(x,y,z * (L(u,u,a(w,w,v5)) \ R(u,w,v5))) = L(x,y,z * (a(v5,w,u) \ 1)). R(x,y * (L(z,z,a(u,u,w)) \ R(z,u,w)),v5) = R(x,y * (a(w,u,z) \ 1),v5). a(x,x,a(y,z,z)) * L(x \ L(x,z,y),u,w) = a(y,z,L(x,u,w)) \ 1. a(L(x \ a(y,z,y),u,w),L(x \ 1,u,w),a(v5,v6,v6)) * L(L(L(x \ a(y,z,y),u,w),v6,v5) \ L(x \ a(y,z,y),u,w),v7,v8) = a(v5,v6,L(L(x,u,w),v7,v8)). a(x,x,a(y,L(y,z,u),y)) * L(L(x,y,L(y,z,u)) \ x,w,v5) = a(y,L(y,z,u),L(x,w,v5)). a(L(x,y,z),L(x,y,z),a(u,w,w)) * L(L((y * z) \ (z * (x * y)),w,u) \ ((y * z) \ (z * (x * y))),v5,v6) = a(u,w,L((y * z) \ (z * (x * y)),v5,v6)). a(x,x,a(y,z,z)) \ ((L(x,z,y) \ x) * (L(L(x,z,y) \ x,u,w) \ a(x,x,a(y,z,z)))) = a(y,z,L(x,u,w)) \ (x * (L(x,z,y) \ a(x,x,a(y,z,z)))). a(x,y,L(z,u,x)) = z * (L(z,y,x) \ a(z,z,a(x,y,y))). a(x * L(y,z,u),x * L(y,z,u),a(w,v5,v5)) * L(L(x * R(y,z,u),v5,w) \ (x * R(y,z,u)),v6,v7) = a(w,v5,L(x * R(y,z,u),v6,v7)). a(x,y,a(y,z \ u,z \ u)) * L(L(z \ T(u,w),y,x) \ (z \ T(u,w)),v5,v6) = a(x,y,L(z \ u,v5,v6)). a(x,y,a(y,R(z,u,w) \ v5,L(z,u,w) \ v5)) * L(L(R(z,u,w) \ v5,y,x) \ (R(z,u,w) \ v5),v6,v7) = a(x,y,L(R(z,u,w) \ v5,v6,v7)). a(L(R(x,y,z) \ x,u,w),v5,v6) = a(L(x \ R(x,y,z),u,w),v5,v6). (x \ L(x,y,z)) * ((u * a(x,x,a(y,y,z))) * a(w,v5,x \ L(x,y,z))) = (a(z,y,x) \ u) * a(w,v5,x * L(x,y,z)). L(x \ L(x,y,z),u,w) * (v5 * a(x,x,a(y,y,z))) = a(z,y,R(x,u,w)) \ v5. a(x,y,L(z,u,y)) * L(x,x,a(y,y,z)) = R(x,y,L(z,u,y)). a(x * ((y * z) \ u),w,v5) \ L(v5,v5,a(x * ((y * z) \ u),w,w)) = L(v5,w,x * ((z * y) \ u)). a(x * ((y * y) \ z),u,w) \ L(w,w,a(((y * y) \ x) * z,u,u)) = L(w,u,((y * y) \ x) * z). a(x,y \ R(z,u,w),v5) \ L(v5,v5,a(x,y \ R(z,u,w),y \ L(z,u,w))) = L(v5,y \ R(z,u,w),x). a(x,y * (z \ R(u,w,v5)),v6) \ L(v6,v6,a(x,y * (z \ R(u,w,v5)),y * (z \ L(u,w,v5)))) = L(v6,y * (z \ R(u,w,v5)),x). a(a(x,y,z),u,a(w,a(x,y,z),v5)) = 1. R(x,a(y,z,u),w * L(w,v5,v6)) = a(v6,v5,a(w,a(u,z,y),x)) * x. a(((x * y) \ x) \ L((x * y) \ x,z,u),w,v5) = a(u,z,x \ (y * (L(y,w,v5) \ x))). (x * a(L(x \ L(x,y,z),u,w),v5,v6)) / x = a(z,y,L(x * L(x,v5,v6),u,w)). (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a(a(u,x,x * L(x,y,z)) \ 1,w,v5). a(x,a(x,y,y),z) = a(x,x,a(z,y,y)). a(x,y,a(z,x,y)) = a(x,x,a(z,y,y)). x * a(y,y,a(x,z,z)) = L(x,y,a(y,z,z)). a(x,y,a(z,z,y)) = a(z,y,a(x,z,y)). a(a(x,y,y),z,u) * a(u,u,a(x,z,a(y,y,z))) = L(u,z,a(x,y,y)) \ u. a(x,y,a(y,z,z)) = a(y,y,a(z,z,x)). (1 / x) \ a(y * (x \ y),y,a(z,z,a(u,w,w))) = L(x,y,a(w,w,a(u,z,z))). (x \ 1) * (y \ (z \ ((z * (x \ L(x,u,w))) * y))) = a(z,x,y) \ L(x \ a(z,x,y),u,w). T(1 / (a(x,y,L(y,z,u)) / y),w) = L(1 / (K(w,y) / y),L(y,z,u),x). x * L(a(y,z,(z / u) * z) \ 1,w,v5) = a(y,z,z * (L(u,w,v5) \ z)) \ x. a(x,y,a(z,L(u,u,z),u * (u * (w \ L(L(L(u,u,z),u,z),u,z))))) = a(x,y,(L(u,u,z) \ w) * ((z / (u \ 1)) \ (z * w))). a(x,(y \ z) \ 1,y \ z) = a(x,y * (z \ 1),z * y). L(a(x,y,z),u,(u * a(x,y,z)) * w) * w = u * ((a(x,y,z) \ u) \ w). a(x,y,z) \ ((u / (w \ v5)) * ((w \ v5) * a(x,y,z))) = u * a(a(x,y,z),v5 / (w \ 1),u * (v5 / (w \ 1))). a(a(x,y,y) * L(y,z,u),x,w) = R(y,z,u) \ R(R(y,z,u),x,w). L(x,y \ ((z \ y) * a(z,y,u)),y \ (z \ (y * a(z,y,u)))) = L(x,z \ 1,z \ 1). a(a(x,y,z),z,z \ (a(x,y,z) * u)) = a(u,z,a(x,y,z)). L(a(x,y,L(y,L(x,y,y),z)),y,L(z * R(x,y,y),R(x,y,y),z)) = (z * (x * y)) \ (z * (R(x,y,y) * y)). R(x,y,L(z,x,y)) = x * a(x,y,z). x \ R(x,y,z * L(z,u,y)) = a(x,y,z * L(z,u,y)). a(x,y,a(L(z,u,w),w,u)) = a(u \ R(u,w,z),y,x). a(x,a(y,z,a(x,u,L(w,x,u))),v5) = a(a(y,z,x \ R(x,u,w)),x,v5). a(x,y,a(z,u,x \ L(x,w,v5))) = 1. L(x * R(x \ 1,y,z),x,u * x) = L(x * R(x \ 1,y,z),x,u). L(x \ L(x,y,z),a(u,w,x * L(x,y,z)),v5) = x \ L(x,y,z). a(x,a(y,z,u * L(u,w,v5)),u) * L(u,w,v5) = L(R(u,a(y,z,u \ L(u,w,v5)),x),w,v5). L(R(x,a(y,z,L(x,u,w) \ x),v5),u,w) \ x = L(x,u,w) \ L(x,a(x * L(x,u,w),z,y),v5). a(x,y,a(z,u,w)) * (y \ L(y,x,a(w,u,z))) = a(x,a(w,u,z),y). (1 / x) * (L(R(y,z,u) \ y,w,v5) \ x) = L(L(y \ R(y,z,u),w,v5),x,x \ 1). L(x,y,z) \ L(R(x,u,w),y,z) = L(R(x,u,w) \ x,y,z) \ 1. R(x,y,z) \ R(R(x,y,z),u,w) = L(x \ R(x,u,w),y,z). L(x \ R(x,y,z),u,u \ (x \ 1)) = (1 / (u * x)) * (u * R(x,y,z)). L((x * y) \ R(x * y,z,u),y,y) = ((y \ 1) \ x) \ R((y \ 1) \ x,z,u). L(R(T(x,y),z,x) \ R(R(T(x,y),z,x),x,u),w,v5) = a(x,L(x,w,v5),u). L(x \ R(x,L(x,y,z),u),w,v5) = a(L(x,w,v5),L(x,y,z),u). L(x \ R(x,y \ 1,y),z,u) = a(L(x,z,u),y \ 1,y). L(x \ R(x,y,y),z,u) = a(L(x,z,u),y,y). 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(x,y,z) \ R(L(x,y,z),u,w) = L(x \ R(x,u,w),y,z). R(L(x \ R(x,y,z),u,w),L(x,u,w),w * u) = (w * (u * x)) \ ((w * u) * R(L(x,u,w),y,z)). L(x,y,L(z \ R(z,u,w),v5,v6)) = L(x,y,L(z \ L(z,u,w),v5,v6)). (L(x,y,z) / u) \ L(R(x,w,v5),y,z) = L(x \ R(x,w,v5),y,z) / (u \ 1). ((R(x,y,z) \ x) * u) * L(x \ R(x,y,z),w,v5) = u * a(x \ L(x,y,z),w,v5). a(x,y,z * L(z,u,w)) * (v5 * (L(z,y,x) \ z)) = v5 * L(L(z,y,x) \ z,u,w). (a(x,y,z) * (R(x,y,z) \ x)) * (u * (R(x,y,z) \ x)) = a(x,y,z) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (L(x \ L(x,u,w),v5,v6) \ v7)) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). (x * (y \ L(y,z,u))) \ 1 = (x \ 1) * (L(y,z,u) \ y). L(x,a(y,z,u),L(w,w,a(u,z,y))) = a(w,a(u,z,y),x) * x. L(x,a(y,z,u) * L(L(a(y,z,u),w,v5),v6,v7),a(y,z,u)) = a(y,z,u) * (a(y,z,u) \ x). L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),L(y,u,w)) = L(a(z,y,x),u,w) \ 1. L(L(x \ L(x,y,z),u,w),w,u) = a(z,y,y * (x \ y)) \ a(w,x \ L(x,y,z),u). a(a(x,y,y),z,u) * (w * y) = w * (a(a(x,y,y),z,u) * y). L(x,L(x,x,y),z) = a(z,x,x) \ x. a(x,a(y,z,u) * w,L(a(y,z,u) * w,w,a(y,z,u))) = a(x,a(y,z,u) * w,a(y,z,u) * w). a(x,x,a(y,y,L(z,x,u))) = a(x,x,a(y,y,z)). a(x,y,z * L(u,w,L(v5,u,w))) = a(x,y,z * (u * a(u,w,v5))). a(x,y,a(z,u,x * L(x,w,v5))) = 1. L(x,L(x,x,y),z) = L(x,x,z). L(L(x,y,z),L(x,x,u),w) = L(L(x,x,w),y,z). L(x * 1,a(y,z,u * L(u,w,v5)),u) = L(x,u,a(y,z,u * L(u,w,v5))). L(L(T(x,y),y,a(z,u,w)) \ T(x,y),v5,v6) = L(x,y,L(a(z,u,w),v5,v6)) \ x. (x * a(y,z,a(u,w,v5))) \ 1 = a(y,z,a(u,w,v5)) * (x \ 1). (L(1 / x,x,y) \ 1) * z = x * (z * a(y,x,x)). a(x,y,a(L(z,y,u),x,y)) = a(y,y,a(x,x,z)). a(x * (a(y,x,x) * (z \ (x * a(y,x,x)))),x * a(y,x,x),a(u,w,v5)) = z \ L(z,x * a(y,x,x),a(u,w,v5)). a(x * (a(y,x,x) * z),u,w) = a(z * L(x,x,y),u,w). x \ (a(x \ y,x,x) \ ((y / x) \ (y * (1 / (y \ (y / x)))))) = 1 / (y \ (y / x)). x * (y * (a(x,x,y) * z)) = R(x,x,y) * (y * z). x * (y * (z * a(x,x,y))) = R(x,x,y) * (y * z). (x * y) \ (x * (y / (x * y))) = L(x * y,x \ 1,x) \ 1. (x * y) * (L(x * y,x \ 1,x) \ z) = (z / (x * y)) * ((x \ 1) \ y). x * (R(x,x,y) \ z) = a(x,x,y) \ z. L(x \ 1,x,y) \ (L(x \ 1,z,u) * w) = (L(x,z,u) * (x \ w)) * a(y,x,x). (x / y) * a(z,y,y) = x / L(y,y,z). R(x,x,x * y) * y = (x * x) * (x \ y). (a(x,y,y) * a(z,y,y)) * u = a(x,y,y) * (a(z,y,y) * u). a(x,y,L(L(y,z,u),y,w)) = a(x,y,L(y,z,u)). L(x,x,y) * (x \ z) = a(y,x,x) \ z. L(x,x,y \ L(y,z,u)) \ w = a(a(y,x,x),z,u) * (x \ w). L(L(L(x,x,y) \ x,z / x,u),x,L(u * (z / x),z / x,u)) = (u * (a(y,x,x) \ z)) \ (u * ((z / x) * x)). L(x * a(x,a(y,z,x),L(u,w,v5)),u,L(a(y,z,x),w,v5)) = L(x,L(a(y,z,x),w,v5),u). L(x,y,L(a(z,u,y),w,v5)) * 1 = x * a(x,y,L(a(z,u,y),w,v5)). x \ (L(x,y,a(z,u,y)) * L(x \ L(x,y,a(z,u,y)),w,v5)) = a(y,a(z,u,y),L(x,w,v5)) * a(x,y,a(z,u,y)). a(L(a(x,y,z),u,w),z,v5) \ v5 = L(v5,z,L(a(x,y,z),u,w)). L(x,y,z) * a(x,a(z,u,x),w) = L(L(x,y,z),a(z,u,x),w). x * L(L(a(y,z,u) \ 1,w,v5),v6,v7) = L(L(a(y,z,u),w,v5),v6,v7) \ x. T(a(x,y,a(z,u,w) * a(v5,v6,v7)) \ K(a(z,u,w) * a(v5,v6,v7),y),x) = a(a(v5,v6,v7) * a(z,u,w),y,x). (L(R(x,y,z),u,w) \ L(x,u,w)) * (v5 * a(L(x,u,w),L(x,u,w),a(y,y,z))) = a(L(x,u,w),y,z) \ v5. (R(x,y,L(z,u,y)) \ x) * (w * a(x,x,a(y,y,z))) = a(x,y,L(z,u,y)) \ w. a(x,y,L(a(z,x,y),u,w)) = a(y,y,a(x,x,L(z,u,w))). L(x \ R(x,y,z),u,w) * a(x,x,a(y,y,z)) = a(z,y,x * L(x,u,w)) * a(x,y,z). (a(x,y,a(z,y \ x,y)) * x) \ x = a(x * y,a(y,y,x),z). a(x,y * z,u) * L(x,x,a(z * y,y * z,u)) = R(x,y * z,u). a(x,y,z * (((u * (w \ v5)) * v6) * v7)) * L(x,x,a(y,y,z * (((u * (v5 / w)) * v6) * v7))) = R(x,y,z * (((u * (v5 / w)) * v6) * v7)). a(x,a(y,z,u) \ w,v5) * L(x,x,a(a(y,z,u) * w,a(y,z,u) \ w,v5)) = R(x,a(y,z,u) \ w,v5). (R(x,y,z) * L(x \ L(x,R(x,y,z),a(u,u,w)),y,z)) \ R(R(x,y,z),u,w) = a(R(x,y,z),u,w). L(a(L(x,x,y),y,z),u,y) = x \ R(x,y,L(z,u,y)). a(x,y,L(z,u,y)) \ 1 = L(a(x,y,z) \ 1,u,y). a(x,y,z) * (a(x,y,L(z,u,y)) \ w) = a(a(x,y,z),u,y) * w. (L(a(x,y,z),u,y) \ a(x,y,z)) * w = a(x,y,z) * (a(x,y,L(z,u,y)) \ w). L(x \ L(x,y,z),u,w) * a(a(z,y,y),x,x) = a(z,y,L(x,u,w)) \ 1. L(L(x,y,z) \ (x * L(x \ L(x,y,z),u,w)),v5 * x,v5 * x) * (v6 * a(w,u,a(L(x,y,z) \ x,L(x,y,z) \ x,u))) = a(w,u,(v5 \ L(x,y,z)) \ (v5 \ x)) \ v6. L(x,y,z * (y \ 1)) \ L(x,x,a(y \ z,y,y)) = (y * x) \ ((z * (1 / y)) \ (R(z,y \ 1,y) * x)). (R(x,y,z) \ a(x,y,z)) * x = a(x \ a(y,y,z),x,x). a(a(x,y,y),y \ x,z) \ 1 = z \ L(z,y \ x,a(x,y,y)). L(x,y,z * (a(u,w,v5) \ 1)) = L(x,y,z * a(v5,w,u)). R(x,y * (a(z,u,w) \ 1),v5) = R(x,y * a(w,u,z),v5). a(x,y,a(z,x,y)) * L(y \ L(y,x,z),u,w) = a(z,x,L(y,u,w)) \ 1. a(L(x \ a(y,z,y),u,w),L(x,u,w),a(v5,v6,v6)) * L(L(L(x \ a(y,z,y),u,w),v6,v5) \ L(x \ a(y,z,y),u,w),v7,v8) = a(v5,v6,L(L(x,u,w),v7,v8)). 1 * L(L(x,y,L(y,z,u)) \ x,w,v5) = a(y,L(y,z,u),L(x,w,v5)). a(x,x,a(y,z,z)) * L(L((u * w) \ (w * (x * u)),z,y) \ ((u * w) \ (w * (x * u))),v5,v6) = a(y,z,L((u * w) \ (w * (x * u)),v5,v6)). a(x,x,a(y,z,z)) \ ((L(x,z,y) \ x) * (L(L(x,z,y) \ x,u,w) \ a(x,x,a(y,z,z)))) = a(y,z,L(x,u,w)) \ (L(x,z,y) \ R(x,x,a(y,z,z))). a(x,y,L(z,u,x)) = z * (z \ a(x,y,z)). a(x * L(y,z,u),x * L(y,z,u),a(w,v5,v5)) * L(L(x * L(y,z,u),v5,w) \ (x * L(y,z,u)),v6,v7) = a(w,v5,L(x * R(y,z,u),v6,v7)). a(x,y,a(y,L(z,u,w) \ v5,L(z,u,w) \ v5)) * L(L(R(z,u,w) \ v5,y,x) \ (R(z,u,w) \ v5),v6,v7) = a(x,y,L(R(z,u,w) \ v5,v6,v7)). (x \ L(x,y,z)) * ((u * a(x,x,a(y,y,z))) * a(w,v5,x * L(x,y,z))) = (a(z,y,x) \ u) * a(w,v5,x * L(x,y,z)). L(x \ L(x,y,z),u,w) * (v5 * a(x,x,a(y,y,z))) = a(z,y,L(x,u,w)) \ v5. a(x,y,z) * L(x,x,a(y,y,z)) = R(x,y,L(z,y,y)). a(x * ((y * y) \ z),u,w) \ L(w,w,a(x * ((y * y) \ z),u,u)) = L(w,u,((y * y) \ x) * z). a(x,y \ L(z,u,w),v5) \ L(v5,v5,a(x,y \ R(z,u,w),y \ L(z,u,w))) = L(v5,y \ R(z,u,w),x). a(x,y * (z \ L(u,w,v5)),v6) \ L(v6,v6,a(x,y * (z \ R(u,w,v5)),y * (z \ L(u,w,v5)))) = L(v6,y * (z \ R(u,w,v5)),x). L(a(x,a(y,z,u),w),v5,a(y,z,u)) = a(x,a(y,z,u),w). R(x,a(y,z,u),w * L(w,v5,v6)) = x * a(a(x,a(u,z,y),w),v5,v6). a(x \ ((x / y) * L(y,z,u)),w,v5) = a(u,z,x \ (y * (L(y,w,v5) \ x))). a(L(x \ L(x,y,z),u,w),v5,v6) = a(z,y,L(x * L(x,v5,v6),u,w)). L(x,y,y \ L(y,x,z)) = a(x,x,a(z,y,y)) * x. a(x \ y,z,a(u,x \ y,z)) = a(x * y,x * y,a(u,z,z)). L(x,y,a(z,z,y)) = L(x,z,a(z,y,y)). (x * (a(y,z,a(x,y,z)) \ z)) * a(y,y,z) = x * (z * a(y,y,z)). (a(x,x,y) \ 1) * (a(x,y,a(z,x,y)) \ y) = L(a(x,x,y) \ 1,y,z) * y. a(x,y,y) * (z * (a(x,x,a(y,y,z)) \ x)) = L(a(x,y,y),x,z) * (z * x). (a(x,x,a(y,y,z)) \ x) * a(x,y,y) = x * L(a(x,y,y),x,z). (x \ 1) * L(L(x \ L(x,y,z),u,w),w,u) = a(w,x,u) \ L(x \ a(w,x,u),y,z). x * L(a(y,z,(u \ z) * z) \ 1,w,v5) = a(y,z,z * (L(u,w,v5) \ z)) \ x. a(x,y,a(z,L(u,u,z),L(w \ L(L(L(u,u,z),u,z),u,z),u,u))) = a(x,y,(L(u,u,z) \ w) * ((z / (u \ 1)) \ (z * w))). a(x,y * (z \ 1),z * y) = a(x,z \ y,z \ y). a(x,y,a(z,u * (w \ 1),w * u)) = a(x,y,a(z,u \ w,u \ w)). L(a(x,y,(z \ y) * y),z,(z * a(x,y,(z \ y) * y)) * u) * u = z * (L(z,y,x) \ u). a(x,y,z) * ((u / (w \ v5)) * (a(x,y,z) \ (w \ v5))) = u * a(a(x,y,z),v5 / (w \ 1),u * (v5 / (w \ 1))). L(x,y \ ((z \ y) * a(z,y,u)),y \ ((z \ y) * a(z,y,u))) = L(x,z \ 1,z \ 1). a(x,a(y,z,x),a(y,z,x) * u) = a(u,x,a(y,z,x)). (x * (y * z)) \ (x * (R(y,z,z) * z)) = a(y,z,L(z,L(y,z,z),x)). a(x,y,z * L(z,u,y)) * x = R(x,y,z * L(z,u,y)). a(x,y,a(L(z,u,w),w,u)) = a(u \ L(u,w,z),y,x). a(x,a(y,z,a(x,u,L(w,x,u))),v5) = a(a(y,z,x \ L(x,u,w)),x,v5). L(a(x,y * z,z * R(z \ 1,u,w)),z,y * z) = a(x,y * z,L(z * R(z \ 1,u,w),z,y)). a(x,a(y,z,u * L(u,w,v5)),u) * L(u,w,v5) = L(R(u,a(y,z,u * L(u,w,v5)),x),w,v5). L(R(x,a(y,z,x * L(x,u,w)),v5),u,w) \ x = L(x,u,w) \ L(x,a(x * L(x,u,w),z,y),v5). a(x,a(y,z,u),w) * a(x,w,a(u,z,y)) = w \ L(w,x,a(y,z,u)). L(R(x,y,z) \ x,u,w) \ v5 = L(x \ R(x,y,z),u,w) * v5. L(R(x,y,z),u,w) \ L(x,u,w) = L(R(x,y,z) \ x,u,w). a(a(x,y,y) * L(y,z,u),x,w) = L(y \ R(y,x,w),z,u). ((x \ 1) \ y) \ R((x \ 1) \ y,z,u) = x \ (y \ R(y * x,z,u)). L(L(T(x,y) \ R(T(x,y),x,z),u,x),w,v5) = a(x,L(x,w,v5),z). L(a(x,L(x,y,z),u),w,v5) = a(L(x,w,v5),L(x,y,z),u). L(a(x,y \ 1,y),z,u) = a(L(x,z,u),y \ 1,y). L(a(x,y,y),z,u) = a(L(x,z,u),y,y). 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). L(R(x \ R(x,y,z),L(x,u,w),w * u),u,w) = (w * (u * x)) \ ((w * u) * R(L(x,u,w),y,z)). L(x \ R(x,y,z),u,u) / ((u * x) \ 1) = u * R(x,y,z). ((R(x,y,z) \ x) * u) * L(x \ R(x,y,z),w,v5) = u * a(z,y,x * L(x,w,v5)). (x * (R(x,y,z) \ a(x,y,z))) * (u * (R(x,y,z) \ x)) = a(x,y,z) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),L(x \ L(x,u,w),v5,v6) \ (v7 * L(L(x,u,w) \ x,v5,v6))) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). ((a(x,y,a(z,x,y)) * u) \ 1) * (L(y,x,z) \ y) = (a(z,x,y) \ u) \ 1. L(x,a(y,z,u),L(w,w,a(u,z,y))) = L(x,a(y,z,u),w). L(x,a(y,z,u) * L(L(a(y,z,u),w,v5),v6,v7),a(y,z,u)) = x. L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),L(y,u,w)) = L(a(z,y,x) \ 1,u,w). L(x,y,L(a(z,u,w),v5,v6)) \ x = L(L(x,y,a(z,u,w)) \ x,v5,v6). (a(x,y,a(z,u,w)) * v5) \ 1 = a(x,y,a(z,u,w)) * (v5 \ 1). L(L(x,a(y,z,x),L(u,w,v5)),u,L(a(y,z,x),w,v5)) = L(x,L(a(y,z,x),w,v5),u). a(a(x,y,y),z,u) * (w * y) = w * L(y,y \ L(y,z,u),x). a(x,a(y,z,u) * w,w \ a(y,z,u)) = a(x,a(y,z,u) * w,a(y,z,u) * w). a(x,y,L(L(z,z,y),z,u)) = L(L(z,y,x) \ z,z,u). L(x,a(y,z,u * L(u,w,v5)),u) = L(x,u,a(y,z,u * L(u,w,v5))). x * a(x,y,L(a(z,u,y),w,v5)) = L(x,y,L(a(z,u,y),w,v5)). x \ (L(x,y,a(z,u,y)) * L(a(x,y,a(z,u,y)),w,v5)) = a(y,a(z,u,y),L(x,w,v5)) * a(x,y,a(z,u,y)). a(x,a(y,z,x),L(u,w,v5)) \ u = L(u,x,L(a(y,z,x),w,v5)). L(x,y,z) * a(x,a(z,u,x),w) = L(L(x,a(z,u,x),w),y,z). a(x,y,L(a(z,u,w) \ 1,v5,v6) * L(L(a(z,u,w) \ 1,v5,v6),v7,v8)) * v9 = a(v8,v7,L(L(a(z,u,w),v5,v6),y,x) \ L(a(z,u,w) \ 1,v5,v6)) * v9. T(a(x,y,a(z,u,w) * a(v5,v6,v7)) \ K(a(z,u,w),y),x) = a(a(v5,v6,v7) * a(z,u,w),y,x). (L(R(x,y,z),u,w) \ L(x,u,w)) * (v5 * a(x,x,a(y,y,z))) = a(L(x,u,w),y,z) \ v5. a(x,y,L(a(z,x,y),u,w)) = a(x,y,a(L(z,u,w),x,y)). L(a(x,x,a(y,y,L(z,u,w))) \ x,y,L(a(z,y,x),u,w)) = L(x,L(a(z,y,x),u,w),y). L(x,y,a(y,y \ x,z)) \ x = a(x * y,a(y,y,x),z). a(x,y,z * (((u * (w \ v5)) * v6) * v7)) * L(x,x,a(y,y,z * (((u * (w \ v5)) * v6) * v7))) = R(x,y,z * (((u * (v5 / w)) * v6) * v7)). a(x,y * a(z,u,w),v5) * L(x,x,a(a(z,u,w) * y,a(z,u,w) \ y,v5)) = R(x,a(z,u,w) \ y,v5). (R(x,y,z) * L(x \ L(x,L(x,y,z),a(u,u,w)),y,z)) \ R(R(x,y,z),u,w) = a(R(x,y,z),u,w). x \ R(x,y,L(z,u,y)) = L(x \ R(x,y,z),u,y). L(L(a(x,y,z) \ 1,u,y),x,y) = R(x,y,L(z,u,y)) \ x. (a(x,y,L(z,u,y)) \ a(x,y,z)) * w = a(x,y,z) * (a(x,y,L(z,u,y)) \ w). x * (L(x,x,a(y,z,z)) \ L(x \ L(x,z,y),u,w)) = a(y,z,L(x,u,w)) \ 1. a(x,y,L(z * L(z,u,w),v5 * z,v5 * z)) * (v6 * a(x,y,a(L(z,u,w) \ z,L(z,u,w) \ z,y))) = a(x,y,(v5 \ L(z,u,w)) \ (v5 \ z)) \ v6. L(x,y,z * (y \ 1)) \ L(x,x,a(z,y,y)) = (y * x) \ ((z * (1 / y)) \ (R(z,y \ 1,y) * x)). (x \ a(y,z,x)) * L(x,z,y) = a(x \ a(z,z,y),x,x). a(a(x,y,y),y \ x,z) \ 1 = z \ L(z,x * y,a(y,y,x)). L(x,y,a(z,u,w) \ v5) = L(x,y,v5 * a(w,u,z)). R(x,a(y,z,u) \ w,v5) = R(x,w * a(u,z,y),v5). a(L(x \ 1,y,z),L(x,y,z),a(u,w,w)) * L(L(L(x \ a(v5,v6,v5),y,z),w,u) \ L(x \ a(v5,v6,v5),y,z),v7,v8) = a(u,w,L(L(x,y,z),v7,v8)). 1 * L(a(x,L(x,y,z),u),w,v5) = a(x,L(x,y,z),L(u,w,v5)). a(x,x,a(y,z,z)) * L((u * (x * w)) \ (L((w * u) / (u * (x * w)),z,y) \ (w * u)),v5,v6) = a(y,z,L((w * u) \ (u * (x * w)),v5,v6)). a(x,y,L(z * R(u,w,v5),v6,v7)) = a(x,y,L(z * L(u,w,v5),v6,v7)). a(x,x,a(y,z,z)) \ ((L(x,z,y) \ x) * (L(L(x,z,y) \ x,u,w) \ a(x,x,a(y,z,z)))) = a(y,z,L(x,u,w)) \ (L(x,z,y) \ L(x,x,a(y,z,z))). a(x,y,L(z,u,x)) = a(x,y,z). L(x \ L(x,y,z),u,w) * (v5 * a(x,x,a(y,y,z))) = (a(z,y,x) \ v5) * a(w,u,x * L(x,y,z)). R(x,y,L(z,y,y)) = R(x,y,z). L(x,y,((z * z) \ u) * w) = L(x,y,u * ((z * z) \ w)). a(x,y \ L(z,u,w),v5) \ L(v5,v5,a(x,y \ L(z,u,w),y \ L(z,u,w))) = L(v5,y \ R(z,u,w),x). a(x,y * (z \ L(u,w,v5)),v6) \ L(v6,v6,a(x,y * (z \ L(u,w,v5)),y * (z \ L(u,w,v5)))) = L(v6,y * (z \ R(u,w,v5)),x). (a(x,y,z) * u) * a(w,a(x,y,z),v5) = a(x,y,z) * (u * a(w,a(x,y,z),v5)). R(x,a(y,z,u),y * L(y,w,v5)) = x * a(a(x,y,a(u,z,y)),w,v5). a(x \ ((y \ x) * L(y,z,u)),w,v5) = a(u,z,x \ (y * (L(y,w,v5) \ x))). a(x,y,z \ (u \ (w * L(1 / v5,v5,v6)))) = a(x,y,z \ (u \ (v5 * (w * a(v6,v5,v5))))). a(x * (a(y,x,x) * (z \ (x * a(y,x,x)))),L(x,x,y),a(u,w,v5)) = z \ L(z,x * a(y,x,x),a(u,w,v5)). x \ ((y / x) \ (a(x \ y,x,x) \ (y * (1 / (y \ (y / x)))))) = 1 / (y \ (y / x)). (x * (y * a(x,x,y))) \ (R(x,x,y) * (y * z)) = L(L(z,a(x,x,y),y),y * a(x,x,y),x). R(x,x,y \ L(y,z,u)) * ((y \ L(y,z,u)) * a(z,y,a(u,z,y))) = x * (a(u,z,y) \ a(x,x,y \ L(y,z,u))). a(x,y,L(z,(u * w) \ (u * (w / (u * w))),v5)) = a(x,y,L(z,(u \ 1) \ w,v5)). (x * y) * (L(x * y,y \ 1,y) \ z) = (z / (y * x)) * ((y \ 1) \ x). a(x,x,y) \ (a(z,u,x) * y) = L(a(z,u,x) * y,x,x). L(x \ 1,x,y) \ (L(x \ 1,z,u) * w) = L(x,z,u) * (a(y,x,x) * (x \ w)). ((x * (y * z)) / L(z,z,y)) \ ((a(y,z,z) * x) * y) = a(a(y,z,z) * x,y,z). a(x,y,R(z,z,z * (((u * (w / v5)) * v6) * v7)) * (((u * (v5 \ w)) * v6) * v7)) = a(x,y,(z * z) * (z \ (((u * (w / v5)) * v6) * v7))). L(x,a(y,z,z),a(u,z,z)) = x. a(x,y,(y \ z) * z) = a(x,y,L(y,z,z)). L(L(a(x,y,y),z / y,u),y,L(u * (z / y),z / y,u)) = (u * (a(x,y,y) \ z)) \ (u * ((z / y) * y)). a(a(x,y,z),a(u,w,v5) * v6,a(u,w,v5) * v6) \ 1 = a(v6 \ a(u,w,v5),a(u,w,v5) * v6,a(x,y,z)). L(x,y,y \ L(y,x,z)) = L(x,x,a(z,y,y)). a(x * y,x * y,a(z,x,x)) = a(y,x,a(z,x \ y,x)). L((a(x,x,y) * y) \ z,x,a(y,y,x)) = y \ (a(x,x,y) \ z). (x * (y * a(z,y,a(x,z,y)))) * a(z,z,y) = x * (y * a(z,z,y)). (a(x,x,y) \ 1) * (y * a(x,y,a(z,x,y))) = L(a(x,x,y) \ 1,y,z) * y. a(x,y,y) * (z * L(x,x,a(y,y,z))) = L(a(x,y,y),x,z) * (z * x). L(x,x,a(y,y,z)) * a(x,y,y) = x * L(a(x,y,y),x,z). a(x,y,(z * x) \ u) = a(x,y,z \ (x \ u)). a(x,y,x \ z) = a(x,y,x * z). a(x,y,L(L(z,x,u) \ z,w,v5)) = a(x,y,L(a(u,x,z),w,v5)). L(x * a(a(y,z,u),x,w),a(u,z,y),L(w,v5,a(y,z,u))) = L(x,L(w,v5,a(y,z,u)),a(u,z,y)). R(x,y,y \ z) = R(x,y,z * y). L(x,a(y,z,z),a(u,w,a(v5,z,z))) = x. a(x,y,a(z \ u,w,z)) = a(x,y,a(z,w,z * u)). a(x,y,L(z * a(u,z,u * w),u,u \ w)) = a(x,y,L(z,u \ w,u)). x \ L(L(x,y,a(z,u,z * w)),a(z \ w,u,z),y) = a(a(z \ w,u,z),x,y). a(x,y,x * z) * (u \ ((a(x,y,x \ z) \ u) * w)) = L(w,a(x \ z,y,x),u). R(x \ R(x,y,z),u,w * u) = L(x \ R(x,y,z),u,u \ w). a(x,y,R(z,u,w * u)) = a(x,y,L(z,u,u \ w)). a(x,y,z) \ L(y \ a(x,y,z),u,w) = y \ L(L(y \ L(y,u,w),z,x),x,z). L(a(x,y,(z \ y) * y),u,w) \ v5 = a(x,y,y * (L(z,u,w) \ y)) \ v5. a(x,y,a(z,L(u,u,z),L(w \ L(u,u,z),u,u))) = a(x,y,(L(u,u,z) \ w) * ((z / (u \ 1)) \ (z * w))). a(x,(y \ 1) * z,y * z) = a(x,y \ z,y \ z). a(x,y,a(z,u \ w,u \ w)) = a(x,y,a(z,w * u,w * u)). L(a(x,y,(z \ y) * y),z,(L(1 / z,y,x) \ 1) * u) * u = z * (L(z,y,x) \ u). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(a(x,y,z),w / (z \ 1),u * (w / (z \ 1))). L(x,y \ a(y,z,u),y \ a(y,z,u)) = L(x,y \ 1,y \ 1). a(x,y,z) * (u * a(u,x,a(z,y,x))) = (a(x,y,z) \ x) \ (x * u). a(x,y,z \ (u \ (w * (v5 * a(v6,w,w))))) = a(x,y,z \ (u \ (v5 * L(w,w,v6)))). a((x \ (y * a(z,y,y))) * L(y,y,z),L(y,y,z),a(u,w,v5)) = x \ L(x,y * a(z,y,y),a(u,w,v5)). x \ ((y / x) \ (y * x)) = 1 / (y \ (y / x)). L(L(x,a(y,y,z),z),z * a(y,y,z),y) = (R(y,y,z) * z) \ (R(y,y,z) * (z * x)). R(x,x,y \ L(y,z,u)) * ((y \ L(y,z,u)) * a(z,y,a(u,z,y))) = x * (a(u,z,y) \ a(x,x,y * L(y,z,u))). a(x,y,L((z * (u / (z * u))) \ w,(z \ 1) \ u,z * u)) = a(x,y,((z * u) \ (z * (u / (z * u)))) \ ((z * u) \ w)). a(x,x,a(y,z,x) * u) = a(x,x,u). L(x \ 1,x,y) \ (L(x \ 1,z,u) * w) = L(x,z,u) * (L(x,x,y) \ w). ((x * (y * z)) / L(z,z,y)) \ (a(y,z,z) * (x * y)) = a(a(y,z,z) * x,y,z). a(x,y,R(z,z,z * (((u * (w / v5)) * v6) * v7)) * (((u * (v5 \ w)) * v6) * v7)) = a(x,y,z \ (((u * (w / v5)) * v6) * v7)). a(x,y,(y \ z) * z) * x = R(x,y,L(y,z,z)). L(L(a(x,y,y),y \ z,u),y,L(u * (z / y),z / y,u)) = (u * (a(x,y,y) \ z)) \ (u * ((z / y) * y)). a(x,y,L(y,L(x,y,y),z)) = L(a(x,y,y),x * y,z). a(x,y,z * L(z,u,y)) * x = L(x,y,z \ L(z,u,y)). a(x,a(y,z,a(x,u,L(w,x,u))),v5) = a(a(y,z,x * L(x,u,w)),x,v5). L(a(x,y * z,z * L(z \ 1,u,w)),z,y * z) = a(x,y * z,L(z * R(z \ 1,u,w),z,y)). a(x,a(y,z,u * L(u,w,v5)),u) * L(u,w,v5) = L(L(u,a(y,z,u * L(u,w,v5)),x),w,v5). L(L(x,a(y,z,x * L(x,u,w)),v5),u,w) \ x = L(x,u,w) \ L(x,a(x * L(x,u,w),z,y),v5). a(x,y,a(z,u,w)) * a(y,a(z,u,w),x) = y \ L(y,x,a(w,u,z)). L(x \ R(x,y,z),u,w) \ v5 = L(R(x,y,z) \ x,u,w) * v5. x / L(R(y,z,u) \ y,w,v5) = L(y \ R(y,z,u),w,v5) * x. L(x,y,a(a(z,u,u) * L(u,w,v5),z,y)) = L(x,L(u \ R(u,z,y),w,v5),y). (1 / x) \ a(a(y,z,z) * L(z,u,w),y,v5) = L(z \ R(z,y,v5),u,w) / (x \ 1). a(a(x,y \ R(y,z,u),y \ R(y,z,u)) * L(y \ R(y,z,u),w,v5),x,v6) = L((y \ R(y,z,u)) \ L(y \ R(y,z,u),x,v6),w,v5). L(L(x \ R(x,x,y),z,x),u,w) = a(x,L(x,u,w),y). a(L(x,y,z),u \ 1,u) = a(x,u \ 1,L(u,y,z)). a(L(x,y,z),y,y) = a(x,y,y). a(L(x,y,z),u,u) = a(x,u,L(u,y,z)). L(L(x \ R(x,x,y),z,u),w,v5) = a(x,L(L(x,z,u),w,v5),y). L(L(x \ R(x,y,z),L(x,u,w),w * u),u,w) = (w * (u * x)) \ ((w * u) * R(L(x,u,w),y,z)). (x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w) = a(z,y,x * L(x,u,w)). a(x,y,a(z,x,y)) * (u * (R(y,x,z) \ y)) = a(y,x,z) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),(v7 * L(L(x,u,w) \ x,v5,v6)) * L(L(x,u,w) \ x,v5,v6)) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). L(x,L(L(a(y,z,u),w,v5),v6,v7),a(y,z,u)) = x. L(x \ L(x,y,z),u,w) * a(x,x,a(y,y,L(z,u,w))) = L(a(z,y,x) \ 1,u,w). x \ L(x,y,L(a(z,u,w),v5,v6)) = L(L(x,y,a(z,u,w)) \ x,v5,v6). x * L(x \ L(x,y,a(z,u,w)),v5,v6) = L(x,y,L(a(z,u,w),v5,v6)). L(x,y,L(a(z,u,w),v5,v6)) \ x = L(x \ L(x,y,a(z,u,w)),v5,v6). (a(x,y,a(z,x,y)) * (u \ 1)) * (L(y,x,z) \ y) = (a(z,x,y) \ u) \ 1. x * a(x,L(y,z,u),a(w,v5,y)) = L(x,y,L(a(w,v5,y),z,u)). x \ (L(x,y,a(z,u,y)) * a(L(a(z,u,y),w,v5),y,x)) = a(y,a(z,u,y),L(x,w,v5)) * a(x,y,a(z,u,y)). L(x,a(y,z,u),L(y,w,v5)) = L(x,y,L(a(u,z,y),w,v5)). x * a(y,a(z,u,y),L(x,w,v5)) = L(x,y,L(a(z,u,y),w,v5)). a(x,y,L(a(z,u,w) \ 1,v5,v6) * L(L(a(z,u,w) \ 1,v5,v6),v7,v8)) * v9 = a(v8,v7,L(L(a(z,u,w),v5,v6),y,x) \ L(a(z,u,w),v5,v6)) * v9. T(a(x,y,a(z,u,w) * a(v5,v6,v7)) \ 1,x) = a(a(v5,v6,v7) * a(z,u,w),y,x). L(R(x,y,z) \ x,u,w) * (v5 * a(x,x,a(y,y,z))) = a(L(x,u,w),y,z) \ v5. L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = a(y,x,a(L(z,u,w),y,x)). a(x,y,a(L(z,u,w),x,y)) * L(L(y,x,z) \ y,u,w) = L(a(z,x,y),u,w). L(L(x,x,a(y,y,L(z,u,w))),y,L(a(z,y,x),u,w)) = L(x,L(a(z,y,x),u,w),y). a(x * y,a(y,y,x),z) = a(y,a(y,y \ x,z),x). R(x,y,z * (((u * (w / v5)) * v6) * v7)) = R(x,y,z * (((u * (v5 \ w)) * v6) * v7)). a(x,y * a(z,u,w),v5) * L(x,x,a(a(z,u,w) * y,y * a(z,u,w),v5)) = R(x,a(z,u,w) \ y,v5). (R(x,y,z) * L(x \ L(x,x,L(a(u,u,w),y,z)),y,z)) \ R(R(x,y,z),u,w) = a(R(x,y,z),u,w). L(x \ R(x,y,z),y,y) = x \ R(x,y,z). R(x,y,L(z,u,y)) \ x = L(R(x,y,z) \ x,u,y). L(x,x,a(y,z,z)) \ (x * L(x \ L(x,z,y),u,w)) = a(y,z,L(x,u,w)) \ 1. a(x,y,z * (u * (L(u,w,v5) \ z))) * (v6 * a(x,y,a(L(u,w,v5) \ u,L(u,w,v5) \ u,y))) = a(x,y,(z \ L(u,w,v5)) \ (z \ u)) \ v6. L(x,y,z * (y \ 1)) \ L(x,x,a(z,y,y)) = a(z * (y \ 1),y,x). ((x \ a(y,z,x)) \ 1) * a(x \ a(z,z,y),x,x) = L(x,z,y). L(x,y,a(z,u,w) * v5) = L(x,y,v5 * a(w,u,z)). a(a(x,y,y),y \ x,z) \ 1 = a(z,x * y,a(x,y,y)). (L(x \ 1,y,z) * y) \ R(x \ 1,y * a(x,y,z),y * a(z,y,x)) = (a(z,y,x) \ y) \ 1. a(L(x,y,z),L(x,y,z),a(u,w,w)) * L(L(L(x \ a(v5,v6,v5),y,z),w,u) \ L(x \ a(v5,v6,v5),y,z),v7,v8) = a(u,w,L(L(x,y,z),v7,v8)). L(a(x,L(x,y,z),u),w,v5) = a(x,L(x,y,z),L(u,w,v5)). a(x,x,a(y,z,z)) * L((((x * u) * L((x * u) \ u,z,y)) * w) \ (u * w),v5,v6) = a(y,z,L((u * w) \ (w * (x * u)),v5,v6)). a(x,x,a(y,z,z)) \ ((L(x,z,y) \ x) * (L(L(x,z,y) \ x,u,w) \ a(x,x,a(y,z,z)))) = a(y,z,L(x,u,w)) \ a(y,z,x). L(x \ L(x,y,a(z,u,y * L(y,w,v5))),x,y * a(z,u,y * L(y,w,v5))) = a(x,a(y \ L(y,u,z),w,v5),y). (a(x,y,z) \ u) * a(w,v5,z * L(z,y,x)) = a(x,y,L(z,v5,w)) \ u. L(x,y,z * (L(z,u,w) \ (R(z,z,v5) \ v5))) = L(x,y,v5 * ((z * z) \ L(z,u,w))). L(x,y \ R(z,u,w),v5) = L(x,y \ L(z,u,w),v5). L(x,y * (z \ R(u,w,v5)),v6) = L(x,y * (z \ L(u,w,v5)),v6). (a(x,y,z) * u) * a(w,a(z,y,x),v5) = a(x,y,z) * (u * a(w,a(x,y,z),v5)). a(x \ (y * (L(y,z,u) \ x)),w,v5) = a(u,z,x \ (y * (L(y,w,v5) \ x))). L(x,y,a(y,x,z)) = L(x,x,a(z,y,y)). a(x * y,x * y,a(z,y,y)) = a(x,y,a(z,y \ x,y)). (x * L(y,a(x,z,y),z)) * a(z,z,y) = x * (y * a(z,z,y)). (a(x,x,y) \ 1) * L(y,a(z,x,y),x) = L(a(x,x,y) \ 1,y,z) * y. a(x,y,y) * (z * L(x,x,a(y,y,z))) = z * (x * a(x,y,y)). L(x,a(y,y,x),z) = L(x,x,a(y,y,z)). a(L(x,y,z),y,y) = L(y,y,x) \ y. a(x,x,a(x,y,z) * u) = a(x,x,u). L(x,x,L(y,x,z)) = L(x,x,y). L(L(x,y,z),x,L(u,x,w)) = L(L(x,x,u),y,z). a(x,L(y,z,u),L(z,z,y)) = L(z,L(y,z,u),x) \ z. a(x,y,y * (L(z,z,u) \ y)) \ u = (u / z) * L(z,y,x). a(x,y,a(z,L(u,u,z),w \ L(u,u,z))) = a(x,y,(L(u,u,z) \ w) * ((z / (u \ 1)) \ (z * w))). R(x,(y \ 1) * z,z * y) = x * a(x,y \ z,y \ z). a(x,y,a(y,z * u,z * u)) * L(L(u \ T(z,w),y,x) \ (u \ T(z,w)),v5,v6) = a(x,y,L(u \ z,v5,v6)). a(x,y,a(y,z * L(u,w,v5),z * L(u,w,v5))) * L(L(R(u,w,v5) \ z,y,x) \ (R(u,w,v5) \ z),v6,v7) = a(x,y,L(R(u,w,v5) \ z,v6,v7)). a(x,y,L(z * L(z,x,u),w,v5)) = a(x,y,L(a(u,x,z),w,v5)). L(x * a(a(y,z,u),x,w),a(u,z,y),w) = L(x,L(w,w,a(y,z,u)),a(u,z,y)). a(x,y,x * z) * (u \ ((a(x,y,x * z) \ u) * w)) = L(w,a(x \ z,y,x),u). L(x \ R(x,y,z),u,u \ w) = L(x \ R(x,y,z),u,w * u). a(x,y,L(z,u,u \ w)) = a(x,y,L(z,u,w * u)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(a(x,y,z),w / (z \ 1),u * ((z \ 1) \ w)). a(x,y,z) * L(u,x,a(z,y,x)) = (a(x,y,z) \ x) \ (x * u). a(x,y,L(y,L(x,y,y),z)) = a(x,y,L(y,x * y,z)). a(x \ a(y,z,u),a(y,z,u) * x,a(w,v5,v6)) = a(a(y,z,u) * x,a(y,z,u) * x,a(w,v5,v6)). a(a(x,y,z * L(z,u,w)),z,v5) = a(z,a(x,y,z \ R(z,u,w)),v5). a(x,a(y \ L(y,z,u),w,v5),y) = a(x,y,a(u,z,y * L(y,w,v5))). L(a(x,y * z,z \ L(z,u,w)),z,y * z) = a(x,y * z,L(z * R(z \ 1,u,w),z,y)). L(L(x,a(y,z,x * L(x,u,w)),v5),u,w) \ x = L(x,u,w) \ L(x,a(w,u,x * L(x,z,y)),v5). a(a(x,y,z),u,w) * a(u,a(z,y,x),w) = u \ L(u,w,a(x,y,z)). a(x * y,y,a(z,u,w)) * a(y,a(z,u,w),y \ x) = y \ L(y,y \ x,a(w,u,z)). a(x * y,z,a(u,w,v5)) * a(z,a(u,w,v5),y * x) = z \ L(z,y * x,a(v5,w,u)). a(x,y,a(z,u * w,v5)) * a(y,a(z,w * u,v5),x) = y \ L(y,x,a(v5,w * u,z)). a(x,x \ (L(R(y,z,z) \ y,u,w) \ v5),L(R(y,z,z) \ y,u,w)) = v5 / (x * (a(y,z,L(z,u,w)) \ (x \ (L(y \ R(y,z,z),u,w) * v5)))). L(x \ R(x,y,z),u,w) / (v5 \ 1) = (1 / v5) \ L(x \ R(x,y,z),u,w). a(a(x,y \ R(y,z,u),y \ L(y,z,u)) * L(y \ R(y,z,u),w,v5),x,v6) = L((y \ R(y,z,u)) \ L(y \ R(y,z,u),x,v6),w,v5). L(a(x,x,y),z,u) = a(x,L(x,z,u),y). a(x,y \ 1,L(y,z,u)) \ y = L(y,y \ 1,L(x,z,u)). a(L(x,y,z),u,L(u,w,x)) = a(x,u,L(u,y,z)). a(x,y,L(y,z,u)) \ y = L(y,y,L(x,z,u)). a(x,y,a(z,z,L(u,w,v5)) * v6) = a(x,y,v6 * a(u,z,L(z,w,v5))). L(a(x,y,L(y,z,u)),w,v5) = a(L(x,z,u),y,L(y,w,v5)). a(L(x,y,z),u,w) \ L(w,w,a(x,u,L(u,y,z))) = L(w,u,L(x,y,z)). L(L(a(x,x,y),z,u),w,v5) = a(x,L(L(x,z,u),w,v5),y). a(x,x,a(y,z,z)) * (u * (R(L(x,w,v5),z,y) \ L(x,w,v5))) = a(L(x,w,v5),z,y) \ u. a(x,x,a(y,z,z)) * (u * (R(x,z,L(y,w,z)) \ x)) = a(x,z,L(y,w,z)) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),(v7 * (L(x,u,w) \ x)) * L(L(L(x,u,w) \ x,v5,v6),v5,v6)) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). a((x \ (y * a(z,y,y))) * L(y,y,z),L(y,y,z),a(u,w,v5)) = x \ L(x,L(y,y,z),a(u,w,v5)). a(x,1 / (y \ (y / z)),a(u,w,v5)) = a(x,y \ ((z \ 1) \ y),a(u,w,v5)). L(L(x,a(y,y,z),z),z * a(y,y,z),y) = L(x,z,R(y,y,z)). a(x,y,((z * u) \ (z * (u / (z * u)))) \ ((z * u) \ w)) = a(x,y,L((z * (u / (z * u))) \ w,z \ u,z * u)). L(x,x,y) \ (L(x,z,u) * w) = L(x,z,u) * (L(x,x,y) \ w). L(x,L(L(a(y,z,u),w,v5),v6,v7),a(u,z,y)) = x. (x \ (y * L(y \ x,z,u))) * a(y \ x,y \ x,a(z,z,L(u,y \ x,y))) = L(a(u,z,y \ x) \ 1,y \ x,y). (x \ (y * L(y \ x,z,u))) * a(x * y,x * y,a(z,z,L(u,x,y))) = L(a(u,z,x * y) \ 1,x,y). x \ L(x,y,L(a(z,u,w),v5,v6)) = L(x \ L(x,y,a(z,u,w)),v5,v6). x * L(x \ L(x,y,a(z,z,u)),w,v5) = L(x,y,a(z,z,L(u,w,v5))). L(L(x \ L(x,y,a(z,u,w)),y,y),x,(1 / y) \ a(z,u,w)) = a(x,y,L(a(z,u,w),y,y)) \ 1. a(x,y,a(z,x,y)) * ((u \ 1) * (L(y,x,z) \ y)) = (a(z,x,y) \ u) \ 1. L(x,L(y,z,u),a(w,v5,y)) = L(x,y,L(a(w,v5,y),z,u)). x \ (L(x,y,a(z,u,y)) * a(y,a(z,u,y),L(x,w,v5))) = a(y,a(z,u,y),L(x,w,v5)) * a(x,y,a(z,u,y)). L(x,a(y,z,u),L(u,w,v5)) = L(x,u,L(a(y,z,u),w,v5)). L(x,L(y,z,u),a(y,w,v5)) = L(x,y,L(a(v5,w,y),z,u)). a(x,y,L(a(z,u,w) \ 1,v5,v6) * L(L(a(z,u,w) \ 1,v5,v6),v7,v8)) * v9 = a(v8,v7,L(L(a(z,u,w),y,x) \ a(z,u,w),v5,v6)) * v9. a(x,y,a(z,u,w) * a(v5,v6,v7)) \ 1 = a(a(v5,v6,v7) * a(z,u,w),y,x). a(x,y,a(L(z,u,w),x,y)) * L(a(y,x,z),u,w) = L(y \ R(y,x,z),u,w). a(x,y,a(z,x,y)) * L(L(y,x,z) \ y,u,a(w,v5,z)) = L(a(z,x,y),u,a(w,v5,z)). a(x,y,a(z,x,y)) * L(L(y,x,z) \ y,u,a(z,w,v5)) = L(a(z,x,y),u,a(z,w,v5)). a(x,y,a(a(z,u,w),x,y)) * L(L(y,x,a(z,u,w)) \ y,v5,z) = L(a(a(z,u,w),x,y),v5,z). a(x,x,a(y,y,z)) * L(L(x,y,z) \ x,x,u) = L(a(z,y,x),x,u). L(x,a(y,z,x),L(z,u,w)) = L(x,x,a(z,z,L(y,u,w))). a(x \ y,a(x,x,y),z) = a(x,a(x,x \ y,z),y). a(a(x,y,y),y \ x,z) = a(y,a(y,y \ x,z),x). a(x,a(x,x \ y,z),y) = a(z,y * x,a(x,x,y)). (x \ y) * a(x,a(x,x \ y,z),y) = L(x \ y,a(y,x,x),z). a(x,y,R(z,z,z * (((u * (w \ v5)) * v6) * v7)) * (((u * (w \ v5)) * v6) * v7)) = a(x,y,z \ (((u * (v5 / w)) * v6) * v7)). R(x,a(y,z,u) \ w,v5) = R(x,w * a(y,z,u),v5). (R(x,y,z) * L(x \ L(x,x,a(u,u,L(w,y,z))),y,z)) \ R(R(x,y,z),u,w) = a(R(x,y,z),u,w). L(R(x,y,z) \ x,u,y) * (w * a(x,x,a(y,y,z))) = a(x,y,L(z,u,y)) \ w. a(x,y,L(z,u,w)) \ L(z,z,a(x,y,y)) = z * L(z \ L(z,y,x),u,w). a(x,y,z * (u * (L(u,w,v5) \ z))) * (v6 * a(x,y,1)) = a(x,y,(z \ L(u,w,v5)) \ (z \ u)) \ v6. ((x \ a(y,a(z,u,w),x)) \ 1) * a(x \ 1,x,x) = L(x,a(z,u,w),y). ((x \ a(a(y,z,a(u,w,v5)),u,x)) \ 1) * a(x \ 1,x,x) = L(x,u,a(y,z,a(u,w,v5))). L(L(x,y,z * a(u,w,v5)) \ x,x,y) = a(a(v5,w,u) * z,y,x). (L(x \ 1,y,z) * y) \ R(x \ 1,y * a(x,y,z),y * a(z,y,x)) = y \ a(z,y,x). a(x,x,a(y,z,z)) * L(L(L(x \ a(u,w,u),v5,v6),z,y) \ L(x \ a(u,w,u),v5,v6),v7,v8) = a(y,z,L(L(x,v5,v6),v7,v8)). a(L(x,y,z),L(x,u,w),v5) = a(x,L(x,u,w),L(v5,y,z)). a(x,x,a(y,z,z)) * L(((x * (u * L(u \ (x \ u),z,y))) * w) \ (u * w),v5,v6) = a(y,z,L((u * w) \ (w * (x * u)),v5,v6)). a(x,x,a(y,z,z)) \ (a(x,x,a(y,z,z)) * a(x \ L(x,z,y),u,w)) = a(y,z,L(x,u,w)) \ a(y,z,x). a(x,y,z) \ a(u,w,z * L(z,y,x)) = a(x,y,L(z,w,u)) \ 1. a(x,y,L(z,u,w)) \ (a(x,y,z) * v5) = v5 * a(w,u,z * L(z,y,x)). a(x,y,L(z,u,w)) \ (v5 * a(x,y,z)) = v5 * a(w,u,z * L(z,y,x)). (a(x,y,L(z,u,w)) \ v5) * a(v6,v7,L(z * L(z,y,x),u,w)) = a(x,y,L(L(z,u,w),v7,v6)) \ v5. (x * a(y,z,u)) / (a(y,z,u) * a(w,v5,u * L(u,z,y))) = (a(y,z,u) \ x) / (a(y,z,L(u,v5,w)) \ 1). L(x,y,a(z,x,y)) = L(x,x,a(z,y,y)). a(x,y,a(z,y \ x,y)) = a(z,y,a(x,y * x,y)). (x * L(y,y,a(z,z,x))) * a(z,z,y) = x * (y * a(z,z,y)). (a(x,x,y) \ 1) * L(y,y,a(x,x,z)) = L(a(x,x,y) \ 1,y,z) * y. a(x,y,y) * (z * L(x,x,a(y,y,z))) = z * R(x,y,y). L(x,x,a(y,y,z)) * (a(y,y,x) * z) = (x * a(y,y,x)) * z. a(x,y,a(z,L(u,u,z),w \ L(u,u,z))) = a(x,y,(L(u,u,z) \ w) * (((u \ 1) \ z) \ (z * w))). R(x,(y \ 1) * z,z * y) = R(x,y \ z,y \ z). a(x,y,a(y,z * u,z * u)) * L(T(z,w) \ (L(u / T(z,w),y,x) \ u),v5,v6) = a(x,y,L(u \ z,v5,v6)). a(x,y,a(y,z * L(u,w,v5),z * L(u,w,v5))) * L(z \ (L(L(u,w,v5) / z,y,x) \ L(u,w,v5)),v6,v7) = a(x,y,L(R(u,w,v5) \ z,v6,v7)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(a(x,y,z),w / (z \ 1),(z \ w) * u). (a(x,y,z) \ x) \ (x * u) = (u / x) * (x * a(x,y,z)). a(x,y,y) \ a(x,y,L(y,x * y,z)) = a(z,x,a(y,y,x)). a(a(x,y,z * L(z,u,w)),z,v5) = a(z,a(x,y,z \ L(z,u,w)),v5). L(a(x,y * z,z * L(z,u,w)),z,y * z) = a(x,y * z,L(z * R(z \ 1,u,w),z,y)). a(x * y,y,a(z,u,w)) * a(y,a(z,u,w),y * x) = y \ L(y,y \ x,a(w,u,z)). a(x,y,a(z,u * w,v5)) = a(x,y,a(z,w * u,v5)). L(a(x,y,L(y,y \ z,u)),y,L(u * (z / y),z / y,u)) = (u * (a(x,y,y) \ z)) \ (u * ((z / y) * y)). a(x,x \ (L(R(y,z,z) \ y,u,w) \ v5),L(R(y,z,z) \ y,u,w)) = v5 / (x * (a(y,z,L(z,u,w)) \ (x \ (L(a(y,z,z),u,w) * v5)))). (1 / (x * y)) * (x * R(y,z,u)) = L(y \ R(y,z,u),x,x). a(a(x,y \ R(y,z,u),y * L(y,z,u)) * L(y \ R(y,z,u),w,v5),x,v6) = L((y \ R(y,z,u)) \ L(y \ R(y,z,u),x,v6),w,v5). a(x,L(x,y,z),u) = a(x,x,L(u,y,z)). L(a(x,x,y),z,a(x,u,w)) = a(x,x,y). x * L(x \ L(x,x \ 1,y),z,u) = L(x,x \ 1,L(y,z,u)). a(x,y,L(y,z,u)) \ L(y,w,x) = L(L(y,w,x),y,L(x,z,u)). L(x,L(x,y,z),u) = L(x,x,L(u,y,z)). x \ L(x,x,L(y,z,u)) = L(x \ L(x,x,y),z,u). (x \ 1) * L(x,x,L(y,z,u)) = L((x \ 1) * L(x,x,y),z,u). a(x,y,z * a(u,w,L(w,v5,v6))) = a(x,y,z * a(w,w,L(u,v5,v6))). a(L(x,y,z),u,L(u,w,v5)) = a(x,u,L(L(u,y,z),w,v5)). a(L(x,y,z),T(z,y),u) \ L(u,u,a(x,T(z,y),T(z,z * y))) = L(u,T(z,y),L(x,y,z)). a(L(x,y * (z * z),u),w,v5) \ L(v5,v5,a(x,w,L(w,y,u))) = L(v5,w,L(x,y * (z * z),u)). L(a(x,x,L(y,z,u)),w,v5) = a(x,L(L(x,z,u),w,v5),y). a(x,x,a(y,z,z)) * (u * (L(R(x,z,y),w,v5) \ L(x,w,v5))) = a(L(x,w,v5),z,y) \ u. a(x,x,a(y,z,z)) * (u * L(R(x,z,y) \ x,w,z)) = a(x,z,L(y,w,z)) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),(v7 * (L(x,u,w) \ x)) * (L(x,u,w) \ x)) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). L(x,a(y,a(z,u,w),v5),a(z,u,w)) = x. (x \ (y * L(y \ x,z,u))) * a(y \ x,y \ x,a(z,z,u)) = L(a(u,z,y \ x) \ 1,y \ x,y). (x \ (y * L(y \ x,z,u))) * a(x \ y,y * x,a(z,z,u)) = L(a(u,z,x * y) \ 1,x,y). L(L(x \ L(x,y,a(z,u,w)),y,v5),x,v5 \ ((v5 * y) * a(z,u,w))) = a(x,y,L(a(z,u,w),y,v5)). L(L(x \ L(x,y,a(z,u,w)),y,y),x,(y \ 1) \ a(z,u,w)) = a(x,y,L(a(z,u,w),y,y)) \ 1. (a(x,y,z) \ u) \ 1 = a(x,y,z) * (u \ 1). L(a(x,y,z) \ (L(z,u,w) \ v5),z,L(a(x,y,z),u,w)) = (a(x,y,z) * L(z,u,w)) \ v5. L(x,L(y,z,u),a(u,w,y)) = L(x,y,a(u,w,y)). x \ (x * a(a(x,y,a(z,u,y)),w,v5)) = a(y,a(z,u,y),L(x,w,v5)) * a(x,y,a(z,u,y)). L(x,a(y,z,u),L(u,w,y)) = L(x,u,a(y,z,u)). L(x,L(y,z,u),a(y,w,u)) = L(x,y,a(u,w,y)). a(x,y,L(a(z,u,w) \ 1,v5,v6) * L(L(a(z,u,w) \ 1,v5,v6),v7,v8)) * v9 = a(v8,v7,L(a(x,y,a(z,u,w)),v5,v6)) * v9. a(x,y,a(z,u,w) * a(v5,v6,v7)) \ v8 = a(a(v5,v6,v7) * a(z,u,w),y,x) * v8. a(x,x,a(y,y,z)) * L(a(x,y,z),x,u) = L(x \ R(x,y,z),x,u). L(a(x,y,z),u,a(x,w,v5)) = a(x,y,L(z,u,a(x,w,v5))). L(a(x,y,z),u,a(w,v5,x)) = a(x,y,L(z,u,a(w,v5,x))). a(x,y,a(a(z,u,w),x,y)) * L(y \ L(y,x,a(z,u,w)),v5,z) = L(a(a(z,u,w),x,y),v5,z). L(a(x,y,z),z,u) = a(x,y,L(z,z,u)). a(x,x,a(x \ y,x \ y,z)) = a(x,a(x,x \ y,z),y). a(x,a(x,x \ y,z),y) \ 1 = a(z,y * x,a(y,x,x)). x \ L(y,a(z,x \ y,x),x) = L(x \ y,a(y,x,x),z). R(x,y * a(z,u,w),v5) = R(x,y * a(w,u,z),v5). (R(x,y,z) * L(a(x,x,a(u,u,L(w,y,z))),y,z)) \ R(R(x,y,z),u,w) = a(R(x,y,z),u,w). a(L(x,y,z),z,u) \ w = a(x,z,L(u,y,z)) \ w. a(L(x,y,z),z,u) = a(x,z,L(u,y,z)). a(x,y,z * (u * (L(u,w,v5) \ z))) * (v6 * 1) = a(x,y,(z \ L(u,w,v5)) \ (z \ u)) \ v6. L(x,a(y,z,u),w * L(w,v5,v6)) = ((x \ a(a(w,a(u,z,y),x),v5,v6)) \ 1) * a(x \ 1,x,x). L(x,L(y,y,a(z,u,w)),a(w,u,z)) = L(x,y,a(w,u,z)). L(x,a(y \ z,u,y),w) = L(x,a(y * z,u,y),w). L(x \ R(x,y,z),u,(x \ 1) * u) = (1 / (u * x)) * (u * R(x,y,z)). a(x,y,L(z * a(u,z,u * w),u,w * u)) = a(x,y,L(z,u \ w,u)). L(x,y,z * (L(z,u,w) \ (R(z,z,v5) \ v5))) = L(x,y,v5 * L((z * z) \ z,u,w)). a(x,y,L((z \ R(u,w,v5)) * v6,z \ L(u,w,v5),z \ R(u,w,v5))) = a(x,y,(z \ R(u,w,v5)) \ v6). L(x,(L(y \ R(z,u,w),v5,v6) \ (y \ R(z,u,w))) * (y \ L(z,u,w)),v7) = L(x,L(1 / (y \ R(z,u,w)),v5,v6) \ 1,v7). a(a(x,y,z) * u,w,v5) = a(u * a(z,y,x),w,v5). a(x,x,a(y,z,z)) * L(L(L(x \ a(u,w,u),z,y) \ (x \ a(u,w,u)),v5,v6),v7,v8) = a(y,z,L(L(x,v5,v6),v7,v8)). a(x,L(x,y,z),L(u,w,v5)) \ u = L(u,L(x,y,z),L(x,w,v5)). a(x,x,a(y,z,z)) * L(((u * (x \ L(x,z,y))) * w) \ (u * w),v5,v6) = a(y,z,L((u * w) \ (w * (x * u)),v5,v6)). a(x,y,L(z,u,w)) \ a(x,y,z) = a(z \ L(z,y,x),u,w). a(x,y,L(z,u,L(w,w,u))) \ 1 = a(x,y,z) \ (w \ R(w,u,z * L(z,y,x))). a(L(x,y,z),z,y) \ a(u,w,y * (y * a(y,z,x))) = a(L(x,y,z),z,L(y,w,u)) \ 1. R(x,x,y \ L(y,z,u)) * ((y \ L(y,z,u)) * a(z,y,a(u,z,y))) = x * (a(u,z,L(y,x,x)) \ 1). a(x,y,L(z,u,w)) \ ((a(x,y,z) * a(x,y,z)) * v5) = (a(x,y,z) * v5) * a(w,u,z * L(z,y,x)). (a(x,y,L(z,u,w)) \ v5) * a(u,w,L(z * L(z,y,x),u,w)) = a(x,y,u \ (w \ ((w * z) * u))) \ v5. (x * a(y,z,u)) / (a(y,z,u) * a(w,v5,u * L(u,z,y))) = a(y,z,L(u,v5,w)) * (a(y,z,u) \ x). a(x,x,y) \ L(y,y,a(x,x,z)) = L(a(x,x,y) \ 1,y,z) * y. L(x,L(y,y,a(z,u,w)),a(z,u,w)) = L(x,y,a(w,u,z)). L(x \ L(x,y,a(z,u,w)),x,a(z,u,w) / y) = a(x,L(1 / y,y,a(w,u,z)),a(z,u,w)). x \ L(L(x,y,a(z,u,z * w)),a(z * w,u,z),y) = a(a(z \ w,u,z),x,y). L(x \ R(x,y,z),u,u * x) = (1 / (u * x)) * (u * R(x,y,z)). a(x,y,L(z,u \ w,u)) = a(x,y,L(z,u * w,u)). a(x,y,a(z,L(u,u,z),w \ L(u,u,z))) = a(x,y,(L(u,u,z) \ w) * ((u \ z) \ (z * w))). R(x,y * (z \ 1),y * z) = R(x,z \ y,z \ y). a(x,y,a(y,z * u,z * u)) * L(z \ (L(u / z,y,x) \ u),w,v5) = a(x,y,L(u \ z,w,v5)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(a(x,y,z),(z \ 1) \ w,(z \ w) * u). L(x * a(y,z,z * y),y,a(z,z,y)) = (x / y) * (y * a(y,z,y * z)). a(x,a(y,z,u * L(u,w,v5)),u) = a(x,u,a(y,z,u * L(u,w,v5))). a(a(x,y,z * L(z,u,w)),z,v5) = a(z,a(x,y,z * L(z,u,w)),v5). a(x,y * z,L(z * R(z \ 1,u,w),z,y)) = a(x,y * z,L(z * L(z,u,w),z,y * z)). x \ L(x,x \ y,a(z,u,w)) = x \ L(x,x * y,a(z,u,w)). L(x,x \ y,a(z,u,w)) = L(x,x * y,a(z,u,w)). a(x,x \ (L(R(y,z,z) \ y,u,w) \ v5),L(R(y,z,z) \ y,u,w)) = v5 / (x * (a(y,z,L(z,u,w)) \ (x \ (a(y,z,L(z,u,w)) * v5)))). a(a(x,y \ L(y,z,u),y * L(y,z,u)) * L(y \ R(y,z,u),w,v5),x,v6) = L((y \ R(y,z,u)) \ L(y \ R(y,z,u),x,v6),w,v5). L(a(x,y,z),y * x,y * x) = L(x \ R(x,y,z),y,y). (1 / (x * y)) * (R(x,z,u) * y) = L(x \ R(x,z,u),y,y). a(x,x,L(y,z,a(x,u,w))) = a(x,x,y). a(x,x,L(y,z,u)) \ y = L(y,x,L(x,z,u)). a(x,x,y) \ (a(x,z,u) * w) = a(x,z,u) * (a(x,x,y) \ w). x * L((x \ 1) * L(x,x,y),z,u) = L(x,x \ 1,L(x * y,z,u)). L(x * y,x * y,L(z,x,y)) = L(x * y,(x \ 1) \ y,z). L(L(x,y,z),L(x,y,z),L(u,y,z)) = L(L(x,y,z),x,u). R(L(x,x,L(y,z,u)),w,v5) = L(R(x,w,v5),L(x,z,u),y). L(L(x,y,z),L(x,u,w),v5) = L(L(x,x,L(v5,u,w)),y,z). L(x,x,L(y,z,a(u,w,x))) = L(x,x,y). L(1 / (K(x,y) / y),L(T(1 / (1 / y),x),z,u),w) = L(1 / (K(x,y) / y),1 / (K(x,y) / y),L(w,z,u)). L(x,x,L(y,z,u)) \ L(R(x,w,v5),L(x,z,u),y) = L(x \ R(x,w,v5),L(x,z,u),y). x \ L(x \ L(x,x,y),z,u) = L(x \ 1,x,L(y,z,u)). a(x,y,a(z,z,L(L(u,w,v5),v6,v7)) * v8) = a(x,y,v8 * a(u,z,L(L(z,w,v5),v6,v7))). a(L(x,y,z),z,u) \ L(u,u,a(x,T(z,y),T(z,z * y))) = L(u,T(z,y),L(x,y,z)). L(x,y,L(z,u * (w * w),v5)) = a(L(z,u,v5),y,x) \ L(x,x,a(z,y,L(y,u,v5))). a(x,L(L(x,y,z),u,w),v5) = a(x,x,L(L(v5,y,z),u,w)). a(x,x,a(y,z,z)) * (u * L(R(x,z,y) \ x,w,v5)) = a(L(x,w,v5),z,y) \ u. a(x,x,a(y,z,z)) * (u * L(R(x,z,y) \ x,y,z)) = (L(y,z,x) \ y) \ u. a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),v7 * (a(w,u,x) * a(w,u,x))) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). (a(x,a(y,z,u),w) * (a(y,z,u) \ 1)) \ v5 = (a(y,z,u) * v5) * a(w,a(u,z,y),x). (x \ (y * L(y \ x,z,u))) * a(y * x,y * x,a(z,z,u)) = L(a(u,z,y \ x) \ 1,y \ x,y). (x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5))) * a(a(y,z,u) * x,a(y,z,u) * x,a(w,w,v5)) = L(a(v5,w,x * a(y,z,u)) \ 1,x,a(y,z,u)). L(L(x \ L(x,((1 / y) * z) * u,a(w,v5,v6)),((1 / y) * z) * u,K(v7,v8)),x,K(v7,v8) \ ((((K(v7,v8) / y) * z) * u) * a(w,v5,v6))) = a(x,((1 / y) * z) * u,L(a(w,v5,v6),((1 / y) * z) * u,K(v7,v8))). L(L(x \ L(x,y,a(z,u,w)),y,y),x,(y \ 1) \ a(z,u,w)) = a(x,y,a(z,u,w)) \ 1. (x * a(y,z,u)) \ 1 = a(y,z,u) \ (x \ 1). (a(x,y,z) * (u \ 1)) \ (u \ a(x,y,z)) = (a(x,y,z) \ u) * (u \ a(x,y,z)). (x * (a(y,z,u) * (x \ 1))) \ a(y,z,u) = (a(y,z,u) \ x) * (x \ a(y,z,u)). L(a(x,y,z),u,u * a(x,y,z)) = u * (a(x,y,z) * (u \ 1)). L(x,y,a(z,u,y)) * L(y,y,a(u,u,z)) = a(z,u,y) * (x * L(y,u,z)). a(x,a(y,z,x),L(u,w,v5)) * a(u,x,a(y,z,x)) = a(a(u,x,a(y,z,x)),w,v5). L(x,y,a(z,u,y)) * L(y,y,a(u,u,z)) = (a(y,u,z) \ x) * R(y,u,z). a(x,y,L(a(z,u,w) \ 1,x,y) * L(L(a(z,u,w) \ 1,x,y),v5,v6)) * v7 = a(v6,v5,x \ R(x,y,a(z,u,w))) * v7. R(x,y,z) * (x \ a(u,x,a(x,y,z))) = L(x \ R(x,y,z),x,u). a(a(x,y,z),u,L(w,v5,x)) \ 1 = L(a(a(x,y,z),u,w),v5,x). a(x,y,z) * a(z,a(x,y,z),u) = a(x,y,L(z,z,u)). L(a(x,y,z \ u),u * z,u) = a(x,y,L(z \ u,z \ u,z)). a(x,y,L(L(z,u,w),L(z,u,w),L(v5,u,w))) = L(a(x,y,L(z,u,w)),z,v5). a(x,y,L(z,z,x * y)) = L(z,y,x) \ z. a(x,y,L(z,z,u)) \ 1 = L(a(x,y,z) \ 1,z,u). a(x,y,z) \ a(z,a(x,y,z),u) = a(x,y,L(z,z,u)) \ 1. 1 * a(x,a(y,z \ x,z),z) = a(y,x * z,a(x,z,z)). x \ L(y,x,a(z,x \ y,x)) = L(x \ y,a(y,x,x),z). (R(x,y,z) * a(x,x,L(a(u,u,L(w,y,z)),y,z))) \ R(R(x,y,z),u,w) = a(R(x,y,z),u,w). a(L(x,y,y),y,z) = a(x,y,z). a(x,y,(z \ L(u,w,v5)) \ (z \ u)) \ v6 = a(x,y,z * (u * (L(u,w,v5) \ z))) * v6. L(x,y,z * (L(z,u,w) \ (R(z,z,v5) \ v5))) = L(x,y,v5 * L(z \ 1,u,w)). a(x,y,L((z \ R(u,w,v5)) * v6,z \ L(u,w,v5),z \ L(u,w,v5))) = a(x,y,(z \ R(u,w,v5)) \ v6). L(x,(L(y \ R(z,u,w),v5,v6) \ (y \ R(z,u,w))) * (y \ L(z,u,w)),v7) = L(x,L((y \ R(z,u,w)) \ 1,v5,v6) \ 1,v7). a(x,x,a(y,z,z)) * L(L(a(u,w,u) \ (L(x / a(u,w,u),z,y) \ x),v5,v6),v7,v8) = a(y,z,L(L(x,v5,v6),v7,v8)). a(x,x,L(L(y,z,u),w,v5)) \ y = L(y,L(x,w,v5),L(x,z,u)). a(x,y,L((z * u) \ (u * (w * z)),v5,v6)) = a(w,w,a(x,y,y)) * L(L(L(w,y,x) \ w,z,u),v5,v6). a(x,y,L(z,u,w)) \ a(x,y,z) = a(x,y,z * L(z,u,w)). (a(x,y,L(z,u,w)) * a(x,y,L(z,u,w))) * (a(x,y,L(z,v5,v6)) \ v7) = v7 * (a(x,y,z) * a(z \ L(z,y,x),v5,v6)). a(x,y,z) * (a(x,y,L(z,u,y)) \ w) = a(z \ L(z,y,x),u,y) * w. a(x,y,L(z,u,L(w,w,u))) \ 1 = a(x,y,z) \ (w \ L(w,u,z \ L(z,y,x))). a(L(x,y,z),z,y) \ a(u,w,L(a(y,z,x),y,y)) = a(L(x,y,z),z,L(y,w,u)) \ 1. a(x,y,L(z,u,w)) \ ((a(x,y,z) * a(x,y,z)) * v5) = a(x,y,z) * (v5 * a(w,u,z * L(z,y,x))). (a(x,y,L(z,u,w)) \ v5) * (u \ R(u,w,z * L(z,y,x))) = a(x,y,u \ (w \ ((w * z) * u))) \ v5. L(x,y,a(z,x,y)) \ (L(x,u,w) * v5) = L(x,u,w) * (L(x,x,a(z,y,y)) \ v5). L(x \ L(x,y,a(z,u,w)),x,a(z,u,w) / y) = a(x,L(1 / y,y,a(w,u,z)),a(w,u,z)). L(x \ L(x,y,a(z,u,w)),x,y \ a(z,u,w)) = a(x,L(1 / y,y,a(w,u,z)),a(z,u,w)). a(a(x \ y,z,x),u,w) = a(a(x * y,z,x),u,w). L(x \ R(x,y,z),u,u * x) = L(x \ R(x,y,z),u,u). L((x * y) \ R(x * y,z,u),T(y,x),y * (y * x)) = (1 / (T(y,x) * (x * y))) * (T(y,x) * R(x * y,z,u)). a(x,y,L(z \ u,w * z,w)) = a(x,y,(w \ z) \ (w \ u)). a(x,y,z) * a(a(x,y,z),u,L(w,v5 * v6,v5)) = L(a(x,y,z),u,L(w,v5 \ v6,v5)). R(x,(y \ z) \ 1,y \ z) = R(x,z \ y,z \ y). a(x,y,L(R(z,u,w) \ v5,v6,v7)) = a(x,y,L(L(z,u,w) \ v5,v6,v7)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(a(x,y,z),z \ w,(z \ w) * u). L(x * a(y,z,z * y),y,a(z,z,y)) = (x / y) * R(y,z,z * y). L(x \ L(x,x * y,a(z,u,w)),x,x \ y) = a(x,x \ y,a(z,u,w)). R(x,x \ y,a(z,u,w)) = L(x,x * y,a(z,u,w)). a(x,x \ (L(R(y,z,z) \ y,u,w) \ v5),L(R(y,z,z) \ y,u,w)) = v5 / (x * (a(y,z,L(z,u,w)) * (x \ (a(y,z,L(z,u,w)) \ v5)))). L((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w),v5,v6) = a(1 * L(x \ R(x,y,z),v5,v6),u,w). L(a(x,y,z),y * x,y * x) = x \ R(x,y,z). a(x,x,y) \ L(y,z,a(x,u,w)) = L(L(y,z,a(x,u,w)),x,x). L(L(x,y,y),a(y,y,x),z) = L(x,y,L(y,x,z)). L(a(x,y,z),u,a(x,x,w)) = a(x,y,z). 1 / (a(x,y,L(y,z,u)) / y) = L(y,y \ 1,L(y * x,z,u)). L(x,y,L(z * u,u * z,L(w,u,z))) = L(x,y,L(u * z,(u \ 1) \ z,w)). L(R(x,y,z),L(x,u,w),v5) = L(R(x,y,z),x,L(v5,u,w)). L(L(x,y,z),L(x,u,w),v5) = L(L(x,y,z),x,L(v5,u,w)). L(1 / (K(x,y) / y),1 / (K(x,y) / y),L(z,u,w)) = L(1 / (K(x,y) / y),L(1 / (1 / y),u,w),z). L(x,T(y,z),L(u,z,y)) = a(L(u,z,y),y,x) \ L(x,x,a(u,y,y)). L(x,y,L(z,u * (w * w),v5)) = L(x,y,L(z,u,v5)). a(x,x,L(L(y,z,u),w,v5)) \ y = L(y,x,L(L(x,z,u),w,v5)). a(x,x,a(y,z,z)) * (u * L(R(x,z,y) \ x,y,z)) = u * (y \ L(y,z,x)). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),v7 * a(w,u,x)) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). (a(x,y,z) \ a(u,a(x,y,z),w)) \ v5 = (a(x,y,z) * v5) * a(w,a(z,y,x),u). a(x * (y \ 1),y,z) = a(y \ x,y,z). a(L(x,y,y),L(y,z,u),w) = a(x,L(y,z,u),w). a(x,y,a(L(z \ u,w,v5),z,v6)) = a(x,y,a(L(z * u,w,v5),z,v6)). a(x,y,z) \ L(z,z,a(x,y,y)) = L(z,y,L(x,y,y)). L(L(x \ L(x,((y \ 1) * z) * u,a(w,v5,v6)),((1 / y) * z) * u,K(v7,v8)),x,K(v7,v8) \ ((((K(v7,v8) / y) * z) * u) * a(w,v5,v6))) = a(x,((1 / y) * z) * u,L(a(w,v5,v6),((1 / y) * z) * u,K(v7,v8))). L(L(x \ L(x,y,a(z,u,w)),y,y),x,(y \ 1) \ a(z,u,w)) = a(x,y,a(z,u,w)). x \ (L(a(y,x,z),u,w) \ a(y,x,z)) = a(a(y,x,z),u,w) \ (x \ 1). (a(x,y,z) \ u) * (u \ a(x,y,z)) = u * (a(x,y,z) \ (u \ a(x,y,z))). (a(x,y,z) \ u) * (u \ a(x,y,z)) = L(a(x,y,z),u,u) \ a(x,y,z). L(a(x,y,z),u,u * a(x,y,z)) = L(a(x,y,z),u,u). (a(x,y,z) \ u) * R(x,y,z) = a(z,y,x) * (u * L(x,y,z)). a(x,y,L(a(z,u,w) \ 1,x,y) * L(L(a(z,u,w) \ 1,x,y),v5,v6)) * v7 = a(v6,v5,x \ L(x,y,a(z,u,w))) * v7. R(x,y,z) * (x \ a(u,x,a(z,y,x))) = L(x \ R(x,y,z),x,x \ u). R(x,y,z) * (x \ a(x,a(z,y,x),u)) = L(x \ R(x,y,z),x,u). a(L(x,y,z),u,a(z,w,v5)) * 1 = L(a(a(z,w,v5),u,x),y,z). L(a(x,y,z \ u),u * z,u) = a(x,y,u \ z). L(a(x,y,L(z,u,w)),z,v5) = a(x,y,L(L(z,u,w),z,v5)). a(x,y,L(z * (x * y),(x * y) * z,x * y)) = L(z * (x * y),y,x) \ (z * (x * y)). L(a(x,y,z \ u) \ 1,z \ u,z) = a(x,y,u \ z) \ 1. a(x,y,y * L(y,z,u)) = a(y,a(u,z,y),x). 1 * a(x,y,a(z,y \ x,y)) = a(z,x * y,a(x,y,y)). L(x \ y,x,a(z,x \ y,x)) = L(x \ y,a(y,x,x),z). (R(x,y,z) * a(x,x,a(u,u,w))) \ R(R(x,y,z),u,w) = a(R(x,y,z),u,w). a(x,y,z * (u * (L(u,w,v5) \ z))) \ v6 = a(x,y,z * (u * (L(u,w,v5) \ z))) * v6. L(x,y,L(z,u,w) \ L(v5,z,z)) = L(x,y,v5 * L(z \ 1,u,w)). a(x,y,L((z \ R(u,w,v5)) * v6,z * L(u,w,v5),z * L(u,w,v5))) = a(x,y,(z \ R(u,w,v5)) \ v6). L(x,(R(y,z,u) \ (L(w / R(y,z,u),v5,v6) \ w)) * (w \ L(y,z,u)),v7) = L(x,L((w \ R(y,z,u)) \ 1,v5,v6) \ 1,v7). a(x,x,a(y,z,z)) * L(L(a(u,w,u) \ (L(a(u,w,u) \ x,z,y) \ x),v5,v6),v7,v8) = a(y,z,L(L(x,v5,v6),v7,v8)). a(x,x * a(y,a(z,u,w),v5),a(y,a(z,u,w),v5)) = a(y,a(z,u,w),v5 * L(v5,x,x)). a(x,y,a(z,u,w)) * (a(v5,v6,v7 * L(v7,v8,v9)) * a(v5,v6,v7)) = a(v5,v6,L(v7,v8,v9)) * a(a(z,u,w),y,x). a(x,y,z) * a(z \ L(z,y,x),u,w) = a(x,y,L(z,u,w)). a(x \ L(x,y,z),u,y) = a(a(z,y,x),u,y). a(L(x,y,z),z,y) \ a(u,w,a(y,z,x)) = a(L(x,y,z),z,L(y,w,u)) \ 1. (a(x,y,L(z,u,w)) \ v5) * (a(x,y,z) * a(x,y,z)) = a(x,y,z) * (v5 * a(w,u,z * L(z,y,x))). (a(x,y,L(z,u,w)) \ v5) * (u \ L(u,w,z \ L(z,y,x))) = a(x,y,u \ (w \ ((w * z) * u))) \ v5. (x * (a(y,z,z) \ u)) \ (x * ((u / z) * z)) = a(y,z,L(z,z \ u,x)). a(x,y \ ((z \ 1) \ y),a(u,w,v5)) = a(x,y \ (y / z),a(u,w,v5)). L(x,y,y) * (L(x,x,a(z,y,y)) \ z) = a(y,y,x) \ z. a(x,y,L(z,u,u)) \ u = R(u,u,z \ L(z,y,x)) * ((z \ L(z,y,x)) * a(y,z,a(x,y,z))). L(L(x,a(y,y,z),z),z * a(y,y,z),y) = L(x,z,L(y,y,z)). a(x,y,((z * u) \ (z * (u / (z * u)))) \ ((z * u) \ w)) = a(x,y,L(w * a(u,z,z),z \ u,z * u)). a(x,y,(z * z) * (z \ (((u * (w \ v5)) * v6) * v7))) = a(x,y,z \ (((u * (v5 / w)) * v6) * v7)). a(x,y,a(z,u,y * L(y,w,v5))) * L(y,w,v5) = L(L(y,a(z,u,y * L(y,w,v5)),x),w,v5). L(x \ L(x,x * y,a(z,u,w)),x,y) = a(x,x \ y,a(z,u,w)). L((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w),v5,v6) = a(L(x \ R(x,y,z),v5,v6),u,w). L(L(x,x,a(y,y,z)),y,y) = L(a(y,y,x) \ 1,x,z) * x. L(x,y,L(y,x,x \ z)) \ z = (x \ z) * a(y,y,x). a(x,y,L(z,u,a(x,x,w))) = a(x,y,z). L(x,x,L(y,z,u)) \ L(R(x,w,v5),x,L(y,z,u)) = L(x \ R(x,w,v5),L(x,z,u),y). R(L(L(x,y,z),x,L(u,w,v5)),v6,v7) = L(R(L(x,y,z),v6,v7),L(x,w,v5),u). a(x,y,L(L(z,u,w),z,L(y,u,w))) = L(L(z,u,w),y,x) \ L(z,u,w). L(L(x,y,z),x,L(u,w,v5)) \ L(R(L(x,y,z),v6,v7),L(x,w,v5),u) = L(L(x,y,z) \ R(L(x,y,z),v6,v7),L(x,w,v5),u). L(1 / (K(x,y) / y),1 / (K(x,y) / y),L(z,u,w)) = L(1 / (K(x,y) / y),L((1 / y) \ 1,u,w),z). L(x,T(y,z),L(u,z,y)) = a(u,y,L(x,z,y)) \ L(x,x,a(u,y,y)). L(x,y,L(z,(u \ 1) \ w,v5)) = L(x,y,L(z,u \ w,v5)). L(x,L(y,z,u),L(y,w,v5)) = L(x,y,L(L(y,w,v5),z,u)). a(L(x,y,z),z,y) \ u = u * (y \ L(y,z,x)). a(x,y,z) * (T(L(x \ L(x,u,w),v5,v6),v7) \ v7) = (v7 * a(x,y,z)) * L(L(x,u,w) \ x,v5,v6). (a(x,y,z) \ a(u,a(x,y,z),w)) \ v5 = a(x,y,z) * (v5 * a(w,a(x,y,z),u)). L(L(x \ L(x,y * (z * u),a(w,v5,v6)),((1 / u) * z) * y,K(v7,v8)),x,K(v7,v8) \ ((((K(v7,v8) / u) * z) * y) * a(w,v5,v6))) = a(x,((1 / u) * z) * y,L(a(w,v5,v6),((1 / u) * z) * y,K(v7,v8))). L(x \ L(x,y,a(z,u,w)),x,(y \ 1) \ a(z,u,w)) = a(x,y,a(z,u,w)). x \ (L(a(y,x,z),u,w) \ a(y,x,z)) = a(w,u,a(y,x,z)) * (x \ 1). (a(x,y,z) \ u) * (u \ a(x,y,z)) = a(u,u,a(x,y,z)). (a(x,y,z) \ (u / w)) * ((u / w) \ a(x,y,z)) = L(a(x,y,z),w \ u,w \ u) \ a(x,y,z). L(a(x,y,z),u,u \ a(x,y,z)) = L(a(x,y,z),u,u). a(x,x,a(y,z,u)) \ a(y,z,u) = L(a(y,z,u),x,x * a(y,z,u)). (x * y) / ((L(x,y,y) * (R(y,y,x) * z)) / z) = a(x,L(y,y,x),z). a(x,y,(z * u) \ ((R(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(L(u * w,w,w),u,z)). L(x,y,L(z,y,y)) = L(x,y,z). a(x,y,L(a(z,u,w) \ 1,x,y) * L(L(a(z,u,w) \ 1,x,y),v5,v6)) * v7 = a(v6,v5,x * L(x,y,a(z,u,w))) * v7. (x \ R(x,y,z)) * a(x,a(z,y,x),u) = L(x \ R(x,y,z),x,u). a(L(a(x,y,z),u,x),w,v5) = a(L(v5,u,x),w,a(x,y,z)). a(x,y * z,a(y,z,z)) = a(y,z,a(x,z \ y,z)). a(x * (y \ z),y,a(x,y \ z,y)) = z \ (y * L(y \ z,a(z,y,y),x)). a(x,x,a(y,y,z)) \ (R(x,u,w) \ R(R(x,u,w),y,z)) = a(R(x,u,w),y,z). a(x,y,y * (z * (L(z,u,w) \ y))) * 1 = a(y \ (z * (L(z,u,w) \ y)),y,x). L(x,y,z * (L(u,w,v5) \ 1)) = L(x,y,z * L(u \ 1,w,v5)). a(x,y,L((z \ L(u,w,v5)) * v6,z * L(u,w,v5),z * L(u,w,v5))) = a(x,y,(z \ R(u,w,v5)) \ v6). L(x,(L(y,z,u) \ (L(w / L(y,z,u),v5,v6) \ w)) * (w \ L(y,z,u)),v7) = L(x,L((w \ R(y,z,u)) \ 1,v5,v6) \ 1,v7). a(x,x,a(y,z,z)) * L(L(a(u,w,u) \ ((L(x,z,y) \ x) * a(u,w,u)),v5,v6),v7,v8) = a(y,z,L(L(x,v5,v6),v7,v8)). a(x,x * a(y,a(z,u,w),v5),a(y,a(z,u,w),v5)) = a(y,a(z,u,w),a(x,x,v5)). a(x,y,z * L(z,u,w)) * a(x,y,z) = a(x,y,L(z,u,w)). a(x,y,z) \ a(x,y,L(z,u,w)) = a(z \ L(z,y,x),u,w). a(x,y,z) * a(u,w,z * L(z,y,x)) = a(x,y,L(z,w,u)). a(x \ L(x,y,z),x,u) = a(x,a(z,y,x),u). a(x,y,z * L(z,u,y)) = a(a(x,y,z),u,y). a(x,y,z * L(z,x,u)) = a(a(u,x,z),y,x). x * (a(y,z,L(u,w,v5)) \ (a(y,z,u) * a(y,z,u))) = a(y,z,u) * (x * a(v5,w,u * L(u,z,y))). (a(x,y,L(z,u,w)) \ v5) * (u \ L(u,w,z \ L(z,y,x))) = a(x,y,L(L(z,u,w),w,u)) \ v5. L(x \ L(x,y,a(z,u,w)),x,y \ a(z,u,w)) = a(x,L(1 / y,y,a(w,u,z)),a(w,u,z)). a(x,y,z \ u) \ (z \ u) = z \ (a(x,y,u \ z) \ u). x * (L(x,y,a(z,u,L(y,w,v5))) \ a(z,u,L(y,w,v5))) = a(z,u,L(L(y,w,v5),y,x)). a(x,y,L(L(z,u,w),z,v5)) * (a(x,y,L(z,u,w)) \ z) = a(v5,z,a(x,y,L(z,u,w))) \ z. a(x,y,L(z \ (x * y),x * y,x * y)) = L(z * (x * y),y,x) \ (z * (x * y)). (x \ (y * L(y \ x,z,u))) * a(y * x,y * x,a(z,z,u)) = a(u,z,x \ y) \ 1. a(x,y,L(y,z,u)) \ a(x,y,y) = a(y,a(u,z,y),x). a(x \ L(x,x,y),z,u) = a(x,a(u,z,x),y). a(x,y,y \ L(y,z,u)) = a(y,a(u,z,y),x). a(a(x,y,y),z,u) = a(y,a(u,z,y),x). L(x,y,y \ L(y,z,u)) = x * a(y,a(u,z,y),x). L(x \ y,y,y \ L(y,z,u)) = a(y,a(u,z,y),x) * (x \ y). L(x,y,z) * a(x,a(z,y,x),u) = x * L(x \ L(x,y,z),x,u). a(x,y,a(z,u,u)) * w = w * a(u,a(x,y,u),z). (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a(a(x,a(z,y,x),u) \ 1,w,v5). a(x,y,L(y,y \ z,u)) = (u * (a(x,y,y) \ z)) \ (u * z). a(x,y \ ((z \ 1) \ y),a(u,w,v5)) = a(x,y \ (z \ y),a(u,w,v5)). a(x,y,L(z,u,u)) \ u = L(u,u,z \ L(z,y,x)) * ((z \ L(z,y,x)) * a(y,z,a(x,y,z))). L(L(x,y,a(z,z,y)),y * a(z,z,y),z) = L(x,y,L(z,z,y)). a(x,y,L(z * a(u,w,w),w \ u,w * u)) = a(x,y,(L(w * u,w \ 1,w) \ 1) \ ((w * u) \ z)). a(x,y,(z * u) \ ((R(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a((w \ 1) \ u,u,z)). a(x,y,z \ (((u * (w / v5)) * v6) * v7)) = a(x,y,z \ (((u * (v5 \ w)) * v6) * v7)). a(a(x,y,z),u * w,u) \ 1 = a(u,u \ w,a(x,y,z)). L(a(x,y,z * L(z,u,w)),v5,v6) = a(L(z \ R(z,y,x),v5,v6),u,w). L(L(x,x,a(y,y,z)),y,y) = a(y,y,L(x,x,z)) \ x. L(x \ R(x,y,z),L(x,u,w),v5) = L(x \ R(x,y,z),x,L(v5,u,w)). L(R(L(x,y,z),u,w),L(x,v5,v6),v7) = L(R(L(x,y,z),u,w),x,L(v7,v5,v6)). a(x,y,L(L(z,u,w),z,L(y,u,w))) = L(L(z,y,x) \ z,u,w). L(1 / (K(x,y) / y),1 / (K(x,y) / y),L(z,u,w)) = L(1 / (K(x,y) / y),L(y,u,w),z). L(x,T(y,z),L(u,z,y)) = x * L(x \ L(x,y,u),z,y). L(x,y,L(z * u,u * z,L(w,u,z))) = L(x,y,L(u * z,u \ z,w)). a(x,y,L(L(z,u,w) \ v5,z,L(L(z,v6,v7),u,w)) \ (L(z,v6,v7) * v5)) = a(x,y,L(z,v6,v7) \ L(z,u,w)). a(x,y,a(z,u,w)) * (z \ L(z,u,w)) = a(L(w,z,u),u,L(z,y,x)) \ 1. a(x,y,z) * (L(T(x \ L(x,u,w),v5),v6,v7) \ v5) = (v5 * a(x,y,z)) * L(L(x,u,w) \ x,v6,v7). L(x \ L(x,y * (z * u),a(w,v5,v6)),x,K(v7,v8) \ ((((K(v7,v8) / u) * z) * y) * a(w,v5,v6))) = a(x,((1 / u) * z) * y,L(a(w,v5,v6),((1 / u) * z) * y,K(v7,v8))). L(x \ L(x,y,a(z,u,w)),x,y \ a(z,u,w)) = a(x,y,a(z,u,w)). a(x,y,a(z,u,w)) * (u \ 1) = u \ a(x,y,a(z,u,w)). (a(x,y,z) \ (u \ w)) * ((u \ w) \ a(x,y,z)) = a(u * w,u * w,a(x,y,z)). (a(x,y,z) \ (u / w)) * ((u / w) \ a(x,y,z)) = L(a(x,y,z),w * u,w * u) \ a(x,y,z). a(x * y,x * y,a(z,u,w)) \ a(z,u,w) = L(a(z,u,w),x \ y,(x \ y) * a(z,u,w)). a(x,y,L(L(a(z,u,w),x,y),v5,v6) \ L(a(z,u,w) \ 1,x,y)) * v7 = a(v6,v5,x * L(x,y,a(z,u,w))) * v7. (x \ R(x,y,z)) * a(u,x,a(z,y,x)) = L(x \ R(x,y,z),x,u). a(x,a(y,z,x),u) = a(y,z,a(u,x,x)). a(L(x,y,z),u,a(z,w,v5)) = a(a(z,w,v5),u,x). a(x * (y \ z),y,a(x,y \ z,y)) = a(z \ y,a(z,y,y),x). a(x,x,a(y,y,z)) \ (L(x,u,w) \ L(R(x,y,z),u,w)) = a(R(x,u,w),y,z). a(x,y,z \ (u * (L(u,z,w) \ z))) = a(w,z,z * (u * (L(u,y,x) \ z))). L(x,y,(1 / (K(z,L(u,w,v5) \ 1) / z)) * L(u \ 1,w,v5)) = L(x,y,(L(u,w,v5) \ 1) * (1 / (1 / z))). a(x,y,(z \ R(u,w,v5)) \ v6) = a(x,y,(z \ L(u,w,v5)) \ v6). L(x,L(1 / (y \ L(z,u,w)),v5,v6) \ 1,v7) = L(x,L((y \ R(z,u,w)) \ 1,v5,v6) \ 1,v7). a(x,x,a(y,z,z)) * L(L(L(x,z,y) \ x,u,w),v5,v6) = a(y,z,L(L(x,u,w),v5,v6)). a(a(x,a(y,z,u),w),v5,v5) = a(x,a(y,z,u),a(v5,v5,w)). a(x,y,z) \ a(x,y,L(z,u,w)) = a(x,y,z * L(z,u,w)). a(x \ L(x,x,y),y * x,z) = a(z,y,a(x,x,y)). (x * a(y,z,u)) / a(y,z,L(u,w,v5)) = a(y,z,L(u,w,v5)) * (a(y,z,u) \ x). a(x,a(y,z,x),u) \ 1 = a(y,z,a(u,x,x)). L(x,y,z) * a(x,a(z,y,x),u) = L(L(x,x \ L(x,y,z),u),y,z). a(x,y,a(z * (u \ z),z,y)) = a(a(x,y,u),z,y). a(x,y,a(y,z,z * (u \ z))) = a(a(x,y,u),z,y). L(x,y \ L(y,z,x),u) = a(a(u,x,y),z,x) \ x. L(x,y,z \ L(z,u,y)) = a(a(x,y,z),u,y) * x. a(x,y \ L(y,z,x),u) = a(a(u,x,y),z,x). x * (a(y,z,u) * (a(y,z,L(u,w,v5)) \ a(y,z,u))) = a(y,z,u) * (x * a(v5,w,u * L(u,z,y))). L(L(x \ R(x,y,z),u,u),x,z * y) = L(a(x,y,z),u,u * x). L((x * y) \ R(x * y,z,u),y,y * (y * x)) = (1 / (T(y,x) * (x * y))) * (T(y,x) * R(x * y,z,u)). a(x,y,L(a(z \ 1,z,u) \ w,(1 / z) \ u,z * u)) = a(x,y,((z * u) \ a(z \ 1,z,u)) \ ((z * u) \ w)). L(a(x,y,z),u,L(w,v5 \ v6,v5)) = L(a(x,y,z),u,L(w,v5 * v6,v5)). a(x,y,L(z,u,w)) \ a(x,y,L(L(z,u,w),z,v5)) = K(v6,a(v7,v8,v9)) * (L(v5,z,a(x,y,L(z,u,w))) \ v5). L(a(x,y,z * a(u,w,v5)) \ 1,z,a(u,w,v5)) = a(x,y,z \ a(u,w,v5)) \ 1. a(a(x,x,y),z,u) = a(x,a(u,z,x),y). a(L(x \ L(x,x,y),z,u),w,v5) = a(x,a(v5,w,x),L(y,z,u)). a(x,a(y,z,x),u) = a(y,z,a(x,x,u)). a(a(x,y,y),z,u) = a(x,y,a(y,z,u)). a(x,x,y * L(y,z,u)) = a(x,a(u,z,x),y). a(x \ L(x,y,z),u,u) = a(u,a(z,y,u),x). x * a(y,a(z,u,y),w) = x * a(z,u,a(y,y,w)). a(x,a(y,z,x),u) * w = w * a(y,z,a(x,x,u)). L(x,y,a(y,a(z,u,y),w)) = x. a(x,a(y,z,x),u) * a(y,y,a(u,z,a(x,x,z))) = L(y,z,a(u,x,x)) \ y. L(x,x,y \ L(y,z,u)) \ w = a(x,a(u,z,x),y) * (x \ w). a(x,a(y,z,x),u) * (w * x) = w * L(x,x \ L(x,z,y),u). L(x,y,y \ L(y,z,u)) = L(x,y,a(u,z,y)). L(L(x,y,z),a(z,y,x),u) = x * L(x \ L(x,y,z),x,u). a(x,y,a(z,u,u)) * u = L(u,a(x,y,u),z). a(x,y,a(z,u,u)) * a(u,y,x) = L(a(u,y,x),u,z). a(x,y,a(z,u,u)) = a(z,u,a(u,y,x)). a(x,y,a(z,u,u)) = a(z,u,a(x,y,u)). (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a(1 * a(u,a(x,y,z),x),w,v5). a(x,y,L(y,y \ z,u)) = a(x,y,L(y,z,u)). L(L(x,y,a(z,z,y)),L(y,z,z),z) = L(x,y,L(z,z,y)). a(x,y,L(z * a(u,w,w),w \ u,w * u)) = a(x,y,L(w * u,w \ 1,w) \ ((w * u) \ z)). a(x,x \ y,a(z,u,w)) = a(x,x * y,a(z,u,w)). a(a(x,y,z),u \ w,u) = a(a(x,y,z),u * w,u). a(L(x \ R(x,y,z),u,w),v5,v6) = a(z,y,L(x * L(x,v5,v6),u,w)). a(x,y,(z * u) \ ((R(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(w \ u,u,z)). L(L(x,x,a(y,y,z)),y,y) = L(x,y,L(y,x,z)). L(L(x \ R(x,y,z),x,L(u * w,w,u)),w,u) = (u * (w * x)) \ ((u * w) * R(L(x,w,u),y,z)). L(R(L(x,y,z),u,w),L(x,v5,v6),v7) = L(L(R(x,u,w),y,z),x,L(v7,v5,v6)). a(x,y,L(z,z,L(y,u,a(w,v5,z)))) = L(L(z,y,x) \ z,u,a(w,v5,z)). a(x,y,L(L(z,z,z \ u),z,L(y,z,L(z,w,v5) \ u))) = L(L(z,y,x) \ z,z,L(z,w,v5) \ u). L(1 / (K(x,y) / y),(K(x,y) / y) \ 1,L(z,u,w)) = L(1 / (K(x,y) / y),L(y,u,w),z). x * (L(x,a(y,z,x),u) \ w) = w * a(u,x,a(y,z,x)). L(a(x,y,z),u,L(w \ v5,v5,v5)) = L(a(x,y,z),u,L(w * v5,w \ v5,w)). a(x,y,a(z,u,w)) * (z \ L(z,u,w)) = a(w,u,L(L(z,y,x),z,u)) \ 1. (x * a(y,z,u)) * L(L(y,w,v5) \ y,v6,v7) = a(y,z,u) * (L(y \ L(y,w,v5),v6,v7) \ x). L(x \ L(x,y * (z * u),a(w,v5,v6)),x,(((1 / u) * z) * y) * a(w,v5,v6)) = a(x,((1 / u) * z) * y,L(a(w,v5,v6),((1 / u) * z) * y,K(v7,v8))). a(x,L(1 / y,y,a(z,u,w)),a(z,u,w)) = a(x,y,a(w,u,z)). a(x,L(1 / y,y,a(z,u,w)),a(w,u,z)) = a(x,y,a(w,u,z)). L(x,x,a(y,z,a(u,x,w))) = x. a(x,y,L(L(a(z,u,w),x,y),v5,v6) \ L(a(z,u,w),x,y)) * v7 = a(v6,v5,x * L(x,y,a(z,u,w))) * v7. a(x,a(y,z,x),L(u,x,w)) = a(y,z,a(u,x,x)). a(x \ y,x,a(z,x \ y,x)) = a(y \ x,a(y,x,x),z). (L(x,y,z) \ L(R(x,u,w),y,z)) * a(x,x,a(u,u,w)) = a(R(x,y,z),u,w). a(x,y,y * (z * (L(z,u,w) \ y))) = a(w,u,a(x,y,z)). L(x,y,(1 / (K(z,L(u,w,v5) \ 1) / z)) * L(u \ 1,w,v5)) = L(x,y,(L(u,w,v5) \ 1) * ((1 / z) \ 1)). a(x,y,((z \ u) \ L(u,w,v5)) \ v6) = a(x,y,(z \ (u \ R(u,w,v5))) \ v6). L(x,L((y \ R(z,u,w)) \ 1,v5,v6) \ 1,v7) = L(x,L((y \ L(z,u,w)) \ 1,v5,v6) \ 1,v7). a(x,y,L((z * u) \ (u * (w * z)),v5,v6)) = a(x,y,L(L(w,z,u),v5,v6)). a(x,a(y,z,u),a(w,w,v5)) = a(w,w,a(v5,a(y,z,u),x)). a(x,a(y,z * x,x),z) = a(y,z,a(x,x,z)). a(x,y,L(z,u,w)) \ (v5 * a(x,y,z)) = a(x,y,L(z,u,w)) * (a(x,y,z) \ v5). (a(x,y,z) * L(a(x,y,z) \ 1,z,u)) \ 1 = a(x,y,a(u,z,z)). L(x,x \ L(x,y,z),u) = L(x,a(z,y,x),u). a(x,a(x,y,y * (z \ y)),u) = a(a(u,x,z),y,x). a(x,a(y * (z \ y),y,x),u) = a(a(u,x,z),y,x). L(x,y,L(z \ L(z,u,y),w,v5)) = a(a(x,y,L(z,w,v5)),u,y) * x. a(L(x \ R(x,y,z),u,w),z,v5) = a(a(L(v5,u,w),z,x),y,z). a(x,y,z) * (u * a(w,v5,z * L(z,y,x))) = u * (a(x,y,z) * a(z \ L(z,y,x),v5,w)). L(a(x,y,z),u,u * x) = L(a(x,y,z),u,u). L((x * y) \ R(x * y,z,u),y,L(x,y,y)) = (1 / (T(y,x) * (x * y))) * (T(y,x) * R(x * y,z,u)). a(x,y,L(a(z \ 1,z,u) \ w,(z \ 1) \ u,z * u)) = a(x,y,((z * u) \ a(z \ 1,z,u)) \ ((z * u) \ w)). a(x,y,L(z,u,w) * L(L(z,u,w),z,v5)) = K(v6,a(v7,v8,v9)) * (L(v5,z,a(x,y,L(z,u,w))) \ v5). x * a(x,y,a(z,a(y,u,z),w)) = L(x,y,a(a(z,z,w),u,y)). a(x,y,L(y * L(y,z,u),w,v5)) = a(y,a(u,z,y),L(x,w,v5)). a(x,a(y * (z \ y),y,x),u) = z \ L(z,y,a(x,x,u)). a(x,a(L(y,y,z),z,x),u) = y \ L(y,z,a(x,x,u)). a(x,y,a(z,z,u)) = a(u,z,a(z,y,x)). x * a(y,z,a(u,u,x)) = L(x,u,a(y,z,u)). x * a(y,z,a(u,u,x)) = L(x,u,a(u,z,y)). x * a(y,z,a(u,u,L(x,w,v5))) = L(x,u,L(a(y,z,u),w,v5)). a(x,x,L(y,z,u) \ y) = a(y,x,a(x,z,u)). a(x,x,a(y,z,(u \ z) * z)) = a(x,a(y,z,x),u). a(x,a(y,z,x),u * L(u,w,v5)) = a(a(x,a(v5,w,x),u),z,y). R(x,x \ y,a(z,a(u,w,z),v5)) \ (y * a(u,w,a(z,z,v5))) = (x \ y) * a(z,a(u,w,z),v5). a(x,a(x,y,z),u) * w = w * a(z,y,a(x,x,u)). a(x,a(y,z,x),u) * a(y,y,a(u,z,a(x,x,z))) = y \ L(y,z,a(u,x,x)). L(x,x,y \ L(y,z,u)) = L(x,a(x,z,u),y). L(x,x,y \ L(y,z,u)) = L(x,a(u,z,x),y). L(a(x,y,z),u * L(u,w,v5),L(u,w,v5)) = L(a(x,y,z),u,a(v5,w,u)). L(x,y,a(z,u,(y \ u) * u)) = L(x,y,a(z,u,y)). a(x,a(y,z,x),u) * (u \ x) = L(u \ x,x,a(y,z,x)). (x * L(y,z,u)) * (L(y,z,u) \ y) = L(x * y,y,a(u,z,y)). L(L(x,x,y),a(y,x,x),a(z,u,a(y,x,x))) = a(y,x,L(x,u,z)) \ L(x,a(z,u,x),y). a(x * (y \ x),x,a(z,u,u)) = a(a(z,u,y),x,u). x * a(y,z,a(x \ L(x,u,w),v5,v5)) = x * a(w,u,x * L(x,v5,a(v5,z,y))). a(x,x \ y,a(z,y,y)) = a(z,y,a(x,y * x,y)). a(x,y \ z,a(u,w,y \ z)) = a(u,w,a(x,z * y,z * y)). a(x,y \ z,a(u,w,y \ z)) = a(u,w,a(x,y * z,y * z)). x * a(y,z,a(x \ L(x,u,w),v5,v5)) = x * a(w,u,x * L(x,v5,a(y,z,v5))). (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a(1 * a(u,x,a(x,y,z)),w,v5). a(x,y,L(y,y * z,u)) = a(x,y,L(y,z,u)). a(x,y,L(y,z,u)) \ a(x,y,y) = a(y,a(u,y \ z,y),x). L(x,y,a(z,z,y)) \ (L(1 / L(x,y,a(z,z,y)),L(y,z,z),z) \ 1) = L(x,y,L(z,z,y)) \ L(x,y,a(z,z,y)). L(L(a(x,L(y,x,x),L(z,y,a(x,x,y))),u,w),L(z,y,a(x,x,y)),L(y,x,x)) = L(L(z,y,L(x,x,y)) \ L(z,y,a(x,x,y)),u,w). a(x,y,L(z * a(u,w,w),w \ u,w * u)) = a(x,y,(w * u) \ (L(w * u,w \ 1,w) \ z)). a(x,x \ (y * ((z * a(u,w,v5)) / z)),a(u,w,v5)) = a(x,x * y,a(u,w,v5)). x / (y * (a(z,u,w) * (y \ (a(z,u,w) \ x)))) = a(y,y * x,a(z,u,w)). (a(x,y,z) * (u \ w)) \ (u \ (w * a(x,y,z))) = a(u,u * w,a(x,y,z)). a(x,y,z) * a(u,u * w,a(x,y,z)) = L(a(x,y,z),u \ w,u). a(x,y,z) \ a(u,u * w,a(z,y,x)) = L(a(x,y,z) \ 1,u \ w,u). a(L(R(x,y,z) \ x,u,w),v5,v6) = a(z,y,L(x * L(x,v5,v6),u,w)). L(L(x,y,z),x,L(u,w,v5)) \ L(L(R(x,v6,v7),y,z),x,L(u,w,v5)) = L(L(x,y,z) \ R(L(x,y,z),v6,v7),L(x,w,v5),u). L(L(x,y,z) \ x,u,a(w,v5,x)) = a(z,y,L(x,x,y)). L(L(x,y,z) \ x,x,L(x,u,w) \ v5) = a(z,y,L(L(x,x,y),x,x \ v5)). L(1 / (K(x,y) / y),T(y,x),L(z,u,w)) = L(1 / (K(x,y) / y),L(y,u,w),z). x * L(x \ L(x,y,z),u,y) = L(x,y,L(z,u,y)). L(a(x,y,z),u,L(w \ v5,v5,v5)) = L(a(x,y,z),u,L(w * v5,w * v5,w)). a(x,y,a(z,u,w)) * (z \ L(z,u,w)) = L(a(w,u,L(z,y,x)) \ 1,z,u). (x \ y) * a(z,x,a(u,w,x)) = L(x,a(u,w,x),z) \ y. R(x,y,z) * (x \ a(u,x,a(w,v5,x))) = L(x,a(w,v5,x),u) \ R(x,y,z). (x * a(y,z,u)) * L(L(y,w,v5) \ y,v6,v7) = a(y,z,u) * (x * L(L(y,w,v5) \ y,v6,v7)). L(x \ L(x,y * (z * u),a(w,v5,v6)),x,(((u \ 1) * z) * y) * a(w,v5,v6)) = a(x,((1 / u) * z) * y,L(a(w,v5,v6),((1 / u) * z) * y,K(v7,v8))). a(x,L(y \ 1,y,a(z,u,w)),a(z,u,w)) = a(x,y,a(w,u,z)). a(x,L(y \ 1,y,a(z,u,w)),a(w,u,z)) = a(x,y,a(w,u,z)). a(a(x,y,z),u,y) \ y = L(y,u,a(x,y,z)). a(x,y,L(L(a(z,u,w),v5,v6) \ a(z,u,w),x,y)) * v7 = a(v6,v5,x * L(x,y,a(z,u,w))) * v7. a(x,L(y,y,z),a(u,w,y)) = a(u,w,a(x,y,y)). a(x \ y,a(x,y,y),z) = a(x,y,a(z,y \ x,y)). (L(x,y,z) \ L(R(x,u,w),y,z)) * a(x,x,a(u,u,w)) = a(L(x,y,z),u,w). a(x,y,L(z * L(z,u,w),z,y)) = a(w,u,a(x,y,z)). L(x,y,(1 / (K(z,L(u,w,v5) \ 1) / z)) * L(u \ 1,w,v5)) = L(x,y,(L(u,w,v5) \ 1) * z). a(x,y,(z \ (L(u,w,v5) \ u)) \ v6) = a(x,y,(z \ (u \ R(u,w,v5))) \ v6). L(x,L((y \ L(z,u,w)) \ 1,v5,v6) \ 1,v7) = L(x,L(((y \ R(z,u,w)) \ 1) \ 1,v5,v6),v7). a(x,y,L(L(a(z,u,w) * u,z,w),v5,v6)) = a(x,y,L(L(u,w,z),v5,v6)). a(x,y * z,a(z,z,y)) = a(x,y,a(z,z,y)). a(x,y * z,a(y,z,z)) = a(x,y,a(z,z,y)). a(x,y,L(z,u,w)) * (a(x,y,z) \ v5) = v5 * a(w,u,z * L(z,y,x)). (a(x,y,z) \ L(a(x,y,z) \ 1,z,u)) \ (z \ L(L(z,y,x),y,x)) = a(x,y,a(u,z,z)). (x \ L(x,y,z)) * (u * L(x,a(z,y,x),u)) = u * L(x,y,z). a(x,a(y,z,x),u) * (w * x) = w * L(x,a(y,z,x),u). a(x * (y \ x),x,a(z,z,u)) = a(a(u,z,y),x,z). a(x,y,L(z * L(z,x,u),w,v5)) = a(a(L(u,w,v5),x,z),y,x). a(x,y,z) * (u * a(w,v5,z * L(z,y,x))) = u * a(x,y,L(z,v5,w)). (((a(x,y,z) / x) / a(x,y,z)) / u) * (u * a(x,w,v5)) = L(a(x,w,v5),u,u) * (a(x,y,z) \ (a(x,y,z) / x)). (1 / (T(x,y) * (y * x))) * (T(x,y) * R(y * x,z,u)) = L((y * x) \ R(y * x,z,u),x,y). a(x,y,((z * u) \ a(z \ 1,z,u)) \ ((z * u) \ w)) = a(x,y,L(a(z \ 1,z,u) \ w,z * u,z \ u)). a(x,y,L(z * L(z,z,u),w,v5)) = K(v6,a(v7,v8,v9)) * (L(u,z,a(x,y,L(z,w,v5))) \ u). x * a(x,y,a(z,a(y,u,z),w)) = L(x,y,a(z,a(y,u,z),w)). x \ L(x,y,a(z,z,u)) = a(a(u,z,x),y,z). x \ L(x,y,a(z,z,u)) = a(z,x \ L(x,y,z),u). a(x * L(x,y,z),u,a(w,v5,u)) = a(a(u,a(z,y,u),x),v5,w). L(x,x * y,a(z,a(u,w,z),v5)) \ (y * a(u,w,a(z,z,v5))) = (x \ y) * a(z,a(u,w,z),v5). (a(x,a(x,y,z),u) * w) * L(v5,a(z,y,a(x,x,u)),w) = w * (a(z,y,a(x,x,u)) * v5). L(x,x,a(y,z,u) \ L(a(y,z,u),w,v5)) = L(x,a(v5,w,x),a(u,z,y)). L(x,x,a(y,z,(u \ z) * z)) = L(x,a(y,z,x),u). R(x,x \ L(x,y,z),u \ L(u,w,v5)) * L(x \ L(x,y,z),a(v5,w,x \ L(x,y,z)),u) = L(R(x,x \ L(x,y,z),u \ L(u,w,v5)),y,z). L(x,x,y * (L(y,z,u) \ L(y \ L(y,z,u),w,v5))) = L(x,a(v5,w,x),y \ L(y,z,u)). L(x,a(y \ L(y,y,z),u,x),w) = L(x,x,w \ L(w,u,a(y,y,z))). a(a(x,y,(z \ y) * y),u,u) = L(u,a(x,y,u),z) \ u. a(x,y,L(z,u,u)) \ u = L(u,a(x,y,u),z) * ((z \ L(z,y,x)) * a(y,z,a(x,y,z))). (L(x,y,z) \ 1) * (((L(x,y,z) \ 1) \ x) * a(u,w,v5)) = L(a(u,w,v5),x,a(z,y,x)) * x. L(a(x,y,(z \ y) * y) \ u,z,a(x,y,z)) = (u / z) * L(z,y,x). L(x,a(y,z,u),u) \ u = L(x \ u,u,a(y,z,u)). L(L(x,a(y,z,x),u),x,L(u,z,y)) = L(L(x,x,u),a(u,x,x),a(y,z,a(u,x,x))). x \ L(x,y,a(z,u,u)) = a(a(z,u,x),y,u). x * a(y,z,x * L(x,u,a(u,w,v5))) = x * a(v5,w,a(u,a(y,z,u),x)). a(x,x \ y,a(z,u,x \ y)) = a(z,u,a(y,x * y,x)). a(x,y \ z,a(u,w,y \ z)) = a(x,y * z,a(u,w,y * z)). x * a(y,z,x * L(x,u,a(w,v5,u))) = x * a(w,v5,a(u,a(y,z,u),x)). (L(x,y,z) \ x) * a(L(u,y,z),x,(L(x,y,z) \ x) * L(L(x,y,z) \ x,w,v5)) = (L(x,y,z) \ x) * a(a(u,x,a(x,y,z)),w,v5). a(x,R(y,y,z),L(R(y,y,z),a(y,y,z) * u,w)) = a(x,R(y,y,z),L(R(y,y,z),y \ u,w)). a(x,a(y,x \ z,x),u) = a(x,a(y,z,x),u). L(x,y,a(z,z,y)) \ (L(L(1 / x,y,a(z,z,y)),L(y,z,z),z) \ 1) = L(x,y,L(z,z,y)) \ L(x,y,a(z,z,y)). L(L(a(x,L(y,x,x),z),u,w),L(z,y,a(x,x,y)),L(y,x,x)) = L(L(z,y,L(x,x,y)) \ L(z,y,a(x,x,y)),u,w). a(x,y,L(z * a(u,w,w),w \ u,w * u)) = a(x,y,(w * u) * (L(w * u,w \ 1,w) * z)). a(x,x \ (y * a(z,u,w)),a(z,u,w)) = a(x,x * y,a(z,u,w)). a(x,x \ (L(R(y,z,z) \ y,u,w) \ v5),L(R(y,z,z) \ y,u,w)) = a(x,x * v5,a(y,z,L(z,u,w))). a(x,x * y,a(z,u,w)) * (a(z,u,w) * (x \ y)) = x \ (y * a(z,u,w)). L(a(x,y,z),u \ w,u) = L(a(x,y,z),u * w,u). L(a(x,y,z) \ 1,u \ w,u) = L(a(x,y,z) \ 1,u * w,u). x * a(x,y,L(z * L(z,u,w),x,y)) = x * (z \ L(z,y,x \ L(x,u,w))). L(L(x,y,z) \ R(L(x,y,z),u,w),L(x,v5,v6),v7) = L(L(x \ R(x,u,w),y,z),x,L(v7,v5,v6)). L(L(x,y,z) \ x,u,a(w,v5,x)) = L(x,y,z) \ x. L(L(x,y,z) \ x,x,L(x,u,w) \ v5) = a(z,y,L(L(x,x,y),x,v5 * x)). L(1 / (K(x,y) / y),L(y,z,u),w) = L(1 / (K(x,y) / y),y,L(w,z,u)). L(L(x,y,z),a(z,y,x),y) = L(x,y,L(z,x,y)). a(x,y,a(z,u,w)) * L(z,u,w) = z * L(a(w,u,L(z,y,x)) \ 1,z,u). L(x \ L(x,y * (z * u),a(w,v5,v6)),x,(y * (z * u)) * a(w,v5,v6)) = a(x,((1 / u) * z) * y,L(a(w,v5,v6),((1 / u) * z) * y,K(v7,v8))). a(x,L(y,y,a(z,u,w)),a(z,u,w)) = a(x,y,a(w,u,z)). a(x,L(y,y,a(z,u,w)),a(w,u,z)) = a(x,y,a(w,u,z)). L(x,y \ L(y,z,x),u) = L(x,z,a(u,x,y)). x * a(x,y,a(z,x,u)) = L(x,y,a(z,x,u)). a(x,y,L(a(z,u,a(w,v5,v6)),x,y)) * v7 = a(z,u,x * L(x,y,a(w,v5,v6))) * v7. a(x,L(y,y,z),a(y,u,y * w)) = a(y \ w,u,a(x,y,y)). a(x,y \ z,a(y,z,z)) = a(y,z,a(x,z \ y,z)). L(x \ R(x,y,z),u,w) * a(x,x,a(y,y,z)) = a(L(x,u,w),y,z). a(x,y * z,L(z * R(z \ 1,u,w),z,y)) = a(w,u,a(x,y * z,z)). L(x,y,(1 / (K(z,u \ 1) / z)) * L(u \ 1,w,v5)) = L(x,y,(L(u,w,v5) \ 1) * z). a(x,y,(z \ (u \ R(u,w,v5))) \ v6) = a(x,y,(z \ (u \ L(u,w,v5))) \ v6). L(x,L((y \ L(z,u,w)) \ 1,v5,v6) \ 1,v7) = L(x,L(y \ R(z,u,w),v5,v6),v7). a(x,a(y,z,u) \ z,L(L(z,u,y),w,v5)) = a(x,L(z,u,y),L(a(y,z,u) * z,w,v5)). a(x,a(x,x \ y,z),y) = a(z,y,a(x,x,y)). a(x,y,a(z,y \ x,y)) = a(z,x,a(y,y,x)). L(x,y * z,a(z,z,y)) = x * a(x,y,a(z,z,y)). x * a(y,x,L(x,z,u) * L(L(x,z,u),w,v5)) = a(y,x,a(v5,w,L(x,z,u))) \ x. L(x,y,z) * (x \ L(x \ L(x,y,z),x,u)) = a(z,y,x) \ L(a(z,y,x) \ 1,x,u). ((R(x,y,z) \ u) \ L(R(x,y,z) \ u,w,v5)) * (R(v6,v7,v8) * L(R(x,y,z) \ u,a(v5,w,R(x,y,z) \ u),R(v6,v7,v8))) = L(R(x,y,z) \ u,w,v5) * R(T(v6,x \ u),v7,v8). (x * L(y,a(z,u,y),x)) * (y \ L(y,u,z)) = x * L(y,u,z). (x \ (y * L(y \ x,z,u))) * (w * L(x \ y,a(u,z,x \ y),w)) = w * L(x \ y,z,u). (x \ L(x,y,a(z,z,u))) * (w * L(x,a(z \ L(z,z,u),y,x),w)) = w * L(x,y,z \ L(z,z,u)). a(x \ y,a(x,y,x * y),z) * (u * (x \ y)) = u * L(x \ y,a(x,y,x \ y),z). a(x * (y \ x),x,a(L(z \ 1,u,w),L(z \ 1,u,w),v5)) = a(a(v5,L(z \ 1,u,w),y),x,L(z,u,w)). a(a(x,L(L(L(y,z,u),w,v5),z,u),v6),v7,L(y,w,v5)) = a(v7 * (v6 \ v7),v7,a(L(y,w,v5),L(y,w,v5),x)). (1 / x) \ a(a(a(y,z,z),u,x),w,u) = L(x,w,a(z,z,a(y,u,u))). a(a(L(x,y,z),u,w),v5,u) = a(u,v5,L(a(x,u,w),y,z)). (((a(x,y,z) / x) / a(x,y,z)) / u) * (u * a(x,w,v5)) = L(a(x,w,v5),u,u) * (1 / x). (1 / (T(x,y) * (y * x))) * (T(x,y) * R(y * x,z,u)) = x \ (y \ R(y * x,z,u)). a(x,y,((z * u) \ a(z \ 1,z,u)) \ ((z * u) \ w)) = a(x,y,L(w * a(u,z,z),z * u,z \ u)). K(x,a(y,z,u)) * (L(w,v5,a(v6,v7,L(v5,v8,v9))) \ w) = a(v6,v7,a(v5,v5,L(w,v8,v9))). L(x \ L(x,y,a(z,u,u)),w,v5) = a(a(z,u,L(x,w,v5)),y,u). x * L(y \ L(y,z,a(u,u,w)),v5,v6) = a(L(a(w,u,y),v5,v6),z,u) * x. L(x,a(y,z,x),u \ L(u,w,v5)) = x * a(a(x,a(v5,w,x),u),z,y). L(x,a(y,z,x),u) \ R(x,z,y) = L(x \ R(x,z,y),x,u). L(x \ R(x,y,z),x,x \ u) = L(x,a(z,y,x),u) \ R(x,y,z). x \ L(x,x,a(y,z,u) \ L(a(y,z,u),w,v5)) = a(x,a(v5,w,x),a(u,z,y)). L(x,x \ L(x,y,z),u \ L(u,w,v5)) * L(x \ L(x,y,z),a(v5,w,x \ L(x,y,z)),u) = L(R(x,x \ L(x,y,z),u \ L(u,w,v5)),y,z). L(x,x,y * (y \ a(z,u,y * L(y,w,v5)))) = L(x,a(z,u,x),y \ L(y,w,v5)). L(x,a(y \ L(y,y,z),u,x),w) = L(x,x,a(y,w \ L(w,u,y),z)). a(a(x,y,(z \ y) * y),u,u) = a(z,u,a(x,y,u)). a(x,y,L(z,u,u)) \ u = L(u,a(x,y,u),z) * (L(z,a(x,y,z),y) \ L(z,y,x)). L(x,a(x,y,a(z,u,w)),v5) = L(x,y,a(v5,x,a(z,u,w))). (L(x,y,z) \ 1) * (((L(x,y,z) \ 1) \ x) * a(u,w,v5)) = L(a(u,w,v5) * x,x,a(z,y,x)). L(x,y,a(z,u,y)) \ y = L(x \ y,y,a(z,u,y)). L(L(x,a(y,z,x),u),x,L(u,z,y)) = L(x,x,u). a(x,a(y,z,x),u) * a(y,y,a(u,z,a(x,x,z))) = a(a(u,x,y),z,x). x * a(y,z,a(u,a(w,v5,u),x)) = x * a(w,v5,a(x,u,a(u,z,y))). a(x \ y,z,u) * a(u,z,a(y,x * y,x)) = L(a(x \ y,z,u),x \ y,x). a(x \ y,z,u) * a(y,x * y,a(u,z,x * y)) = L(a(x \ y,z,u),x \ y,x). x * a(y,z,a(u,a(w,v5,u),x)) = x * a(w,v5,a(x,u,a(y,z,u))). (L(x,y,z) \ x) * a(L(u,y,z),x,x * (L(x,y,z) \ L(L(x,y,z) \ x,w,v5))) = (L(x,y,z) \ x) * a(a(u,x,a(x,y,z)),w,v5). a(x,R(y,y,z),L(L(y,y,z),a(y,y,z) * u,w)) = a(x,R(y,y,z),L(R(y,y,z),y \ u,w)). L(x,y,a(z,z,y)) \ (L(1 / x,y,L(z,z,y)) \ 1) = L(x,y,L(z,z,y)) \ L(x,y,a(z,z,y)). L(L(a(x,L(y,x,x),z),u,w),z,L(L(y,x,x),y,a(x,x,y))) = L(L(z,y,L(x,x,y)) \ L(z,y,a(x,x,y)),u,w). a(x,y,L(z * a(u,w,w),w \ u,w * u)) = a(x,y,(L(w * u,w,w) * z) * (w * u)). a(x,x * (y * a(z,u,w)),a(z,u,w)) = a(x,x * y,a(z,u,w)). a(x,x \ (L(y \ R(y,z,z),u,w) * v5),L(R(y,z,z) \ y,u,w)) = a(x,x * v5,a(y,z,L(z,u,w))). (x \ (a(y,z,u) \ w)) \ (x \ w) = L(a(y,z,u),x * w,x). L(a(x,y,y * ((z \ u) \ y)) \ 1,z * u,z) = u \ (z * L(z \ u,y,x)). x * (y \ L(y,z,x \ L(x,u,w))) = x * (x \ R(x,z,y * L(y,u,w))). L(L(x,y,z) \ L(R(x,u,w),y,z),L(x,v5,v6),v7) = L(L(x \ R(x,u,w),y,z),x,L(v7,v5,v6)). L(L(x,y,z) \ x,L(x,y,z),z * y) = L((z * (y * x)) \ ((z * y) * x),u,a(w,v5,x)). L(L(x,y,z) \ x,x,L(x,u,w) \ v5) = L(L(x,y,z) \ x,x,v5 * x). L(1 / (K(x,y) / y),L(y,z,u),w) = L(T(y,x),y \ 1,L(w,z,u) * y). L(x,y,L(z,x,y)) = a(z,y,x) \ x. L(a(x,y,L(z,u,w)),z,y) \ z = a(w,u,a(z,y,x)) * L(z,y,x). a(x,((1 / y) * z) * u,L(a(w,v5,v6),((1 / y) * z) * u,K(v7,v8))) = a(x,u * (z * y),a(w,v5,v6)). a(x,y \ a(z,u,w),a(z,u,w)) = a(x,y,a(w,u,z)). (x \ L(x,y,a(z,u,a(w,v5,v6)))) * v7 = a(z,u,x * L(x,y,a(w,v5,v6))) * v7. a(x \ y,z,a(u,x,x)) = a(u,x,a(x * y,z,x)). a(x,y,z * L(z,u,w)) * a(z,y,x) = a(L(z,u,w),y,x). a(x,y,z) \ a(L(x,u,w),y,z) = a(z,y,x * L(x,u,w)). a(x,y * z,L(z * L(z \ 1,u,w),z,y)) = a(w,u,a(x,y * z,z)). L(x,y,L(z \ 1,u,w) * (1 / (1 / v5))) = L(x,y,(L(z,u,w) \ 1) * v5). a(x,y,(z \ (u \ L(u,w,v5))) \ v6) = a(x,y,(z \ (u * R(u,w,v5))) \ v6). L(x,L(((y \ L(z,u,w)) \ 1) \ 1,v5,v6),v7) = L(x,L(y \ R(z,u,w),v5,v6),v7). a(x,y * a(z,y,u),L(L(y,u,z),w,v5)) = a(x,L(y,u,z),L(a(z,y,u) * y,w,v5)). x * a(y,x,L(x * L(x,z,u),w,v5)) = a(y,x,a(u,z,L(x,w,v5))) \ x. a(x,y,(y \ L(y,z,u)) * L(y \ L(y,z,u),w,v5)) * v6 = a(v5,w,a(u,z,y) \ L(a(u,z,y) \ 1,y,x)) * v6. (L(x,y,z) \ (u * L(u \ L(x,y,z),w,v5))) * (R(v6,v7,v8) * L(R(x,y,z) \ u,a(v5,w,R(x,y,z) \ u),R(v6,v7,v8))) = L(R(x,y,z) \ u,w,v5) * R(T(v6,x \ u),v7,v8). a(x,y \ L(y,z,x),u) * (w * L(y,a(x \ L(x,x,u),z,y),w)) = w * L(y,z,x \ L(x,x,u)). a(x \ y,a(x,y,y),z) * (u * (x \ y)) = u * L(x \ y,a(x,y,x \ y),z). a(x,x,a(x \ y,x \ y,z)) = a(z,y,a(x,x,y)). a(x,y \ z,a(y,z,z)) = a(x,y,a(z,z,y)). a(x,y,a(z,y * z,y)) = a(x,z,a(y,y,z)). L(x,y * z,a(z,z,y)) = L(x,y,a(z,z,y)). a(a(x,L(y \ 1,z,u),w),v5,L(y,z,u)) = a(v5 * (w \ v5),v5,a(y \ 1,y \ 1,x)). a(a(x,L(L(L(y,z,u),w,v5),z,u),v6),v7,L(y,w,v5)) = a(v7 * (v6 \ v7),v7,a(y,y,x)). (1 / x) \ a(a(y,a(x,z,y),u),w,z) = L(x,w,a(y,y,a(u,z,z))). a(x,y,L(a(z,x,u),w,v5)) = a(x,y,a(L(z,w,v5),x,u)). (((a(x,y,z) / x) / a(x,y,z)) / u) * (u * a(x,w,v5)) = L(a(x,w,v5),u,u) / x. (1 / ((x * y) * x)) * (R(x * y,z,u) * x) = x \ (y \ R(y * x,z,u)). 1 * (L(x,y,a(z,u,L(y,w,v5))) \ x) = a(z,u,a(y,y,L(x,w,v5))). L(a(a(x,y,z),u,y),w,v5) = a(a(x,y,L(z,w,v5)),u,y). a(L(a(x,y,z),u,w),v5,y) * z = L(z,v5,a(y,y,L(x,u,w))). x \ L(x,x,a(y,z,a(u,w,v5))) = a(x,a(y,z,x),a(v5,w,u)). L(x,a(y,z,x),u \ L(u,w,v5)) * L(x \ L(x,z,y),a(v5,w,x \ L(x,z,y)),u) = L(R(x,x \ L(x,z,y),u \ L(u,w,v5)),z,y). L(x,a(y,z,x),u \ L(u,w,v5)) = L(x,x,a(y,z,u * L(u,w,v5))). L(x,x,a(y,z \ L(z,u,y),w)) = L(x,a(y,a(x,u,y),w),z). a(x,y,L(z,u,u)) \ u = L(u,a(x,y,u),z) * (a(x,y,z) \ 1). (L(x,y,z) \ 1) * ((x * L(x,y,z)) * a(u,w,v5)) = L(a(u,w,v5) * x,x,a(z,y,x)). L(L(x,x,a(y,y,z)),x,L(z,y,y)) = L(x,x,z). L(L(x,a(L(y,z,u),w,x),L(w,a(u,z,w),y)),x,L(w,w,y)) = L(x,x,L(w,a(u,z,w),y)). a(a(x,y,a(y,z,u)),w,v5) = a(u,z,a(y,a(v5,w,y),x)). a(x,y * x,a(z,u,y * x)) = a(z,u,a(x,y * x,y)). a(a(x,a(y,z,x),u),w,v5) = a(y,z,a(x,a(v5,w,x),u)). a(a(x,y,a(z,u,y)),w,v5) = a(z,u,a(y,a(v5,w,y),x)). (L(x,y,z) \ x) * a(L(u,y,z),x,x * (L(L(x,y,z) \ x,w,v5) * L(x,y,z))) = (L(x,y,z) \ x) * a(a(u,x,a(x,y,z)),w,v5). a(x,L(y,y,z),L(L(y,y,z),a(y,y,z) * u,w)) = a(x,R(y,y,z),L(R(y,y,z),y \ u,w)). L(L(a(x,L(y,x,x),z),u,w),z,L(y,x,x)) = L(L(z,y,L(x,x,y)) \ L(z,y,a(x,x,y)),u,w). a(x,y,L(z * a(u,w,w),w \ u,w * u)) = a(x,y,((w * u) * z) * L(w * u,w,w)). a(x,x \ (L(a(y,z,z),u,w) * v5),L(R(y,z,z) \ y,u,w)) = a(x,x * v5,a(y,z,L(z,u,w))). L(a(x,y,y * ((a(z,u,w) \ (u \ 1)) \ y)) \ 1,u \ a(z,u,w),a(z,u,w)) = (u \ 1) \ (a(z,u,w) * L(a(z,u,w) \ (u \ 1),y,x)). x * (y \ L(y,z,x \ L(x,u,w))) = x * (x \ L(x,z,y \ L(y,u,w))). L(L(x \ R(x,y,z),u,w),x,L(v5,u,w)) = v5 \ (L(R(x,y,z),u,w) * (L(x,u,w) \ v5)). L((x * (y * z)) \ ((x * y) * z),u,a(w,v5,z)) = a(x,y,z). L(L(x,y,z) \ x,x,L(x,u,w) \ v5) = L(L(x,y,z) \ x,x,v5). T(1 / (a(x,y,L(y,z,u)) / y),w) = L(T(y,w),y \ 1,L(x,z,u) * y). L((a(x,y,z) \ z) \ z,z * u,z * u) = (u \ L(z,y,L(x,z,y))) \ (u \ z). a(x,((1 / y) * z) * u,a(w,v5,v6)) = a(x,u * (z * y),a(w,v5,v6)). ((x \ a(y,z,u)) * a(w,x,a(u,z,y))) \ (a(y,z,u) * (x \ a(y,z,u))) = L(a(y,z,u),x \ a(y,z,u),w). x \ L(x,y,a(z,u,a(w,v5,v6))) = a(z,u,x * L(x,y,a(w,v5,v6))). a(a(x,y,y),y \ z,u) * a(u,u,a(x,y,a(y * z,y \ z,y))) = L(u,y \ z,a(x,y,y)) \ u. L(x,y,L(z \ 1,u,w) * ((1 / v5) \ 1)) = L(x,y,(L(z,u,w) \ 1) * v5). a(x,y,(z \ (u * R(u,w,v5))) \ v6) = a(x,y,(z \ (u * L(u,w,v5))) \ v6). L(x,L(y \ R(z,u,w),v5,v6),v7) = L(x,L(y \ L(z,u,w),v5,v6),v7). R(x,y * a(z,y,u),y * a(z,y,u)) = x * a(x,L(y,u,z),L(a(z,y,u) * y,z,u)). a(x,y,a(z,u,L(y,w,v5))) \ y = y * a(y,a(z,u,y),L(x,w,v5)). a(x,y,(y \ L(y,z,u)) * L(y \ L(y,z,u),w,v5)) * v6 = a(v5,w,a(y,a(u,z,y),x)) * v6. (L(x,y,z) \ (u * L(u \ L(x,y,z),w,v5))) * (R(v6,v7,v8) * L(R(x,y,z) \ u,a(v5,w,L(x,y,z) \ u),R(v6,v7,v8))) = L(R(x,y,z) \ u,w,v5) * R(T(v6,x \ u),v7,v8). a(x,y \ L(y,z,x),u) * (w * L(y,a(x,a(y,z,x),u),w)) = w * L(y,z,x \ L(x,x,u)). a(x \ y,a(x,y,y),z) * (u * (x \ y)) = u * L(x \ y,a(x,y,x * y),z). a(x \ y,x \ y,a(z,x,x)) = a(z,y,a(x,x,y)). (x \ y) * a(z,x,a(y,y,x)) = L(x \ y,a(x,y,y),z). a(x,x \ y,a(z,y,y)) = a(z,x,a(y,y,x)). L(x * a(y,z,z * y),y,a(z,z,y)) = (y * z) * (L(y * z,z,y) \ x). a(a(x,L(y \ 1,z,u),w),v5,L(y,z,u)) = a(v5 * (w \ v5),v5,a(y,y,x)). a(a(x,L(L(L(y,z,u),w,v5),z,u),v6),v7,L(y,w,v5)) = a(a(x,y,v6),v7,y). a(L(a(x,y,z),u,w),v5,y) = a(y,v5,a(L(z,u,w),y,x)). L(a(a(x,y,z),u,y),w,v5) = a(y,u,a(L(x,w,v5),y,z)). (L(a(x,y,z),u,u) / x) \ (a(x,y,z) / x) = a(u \ (1 / x),u,a(x,y,z)). L((x * y) \ R(x * y,z,u),x,x) = x \ (y \ R(y * x,z,u)). 1 * (x \ L(x,y,a(z,u,L(y,w,v5)))) = a(z,u,a(y,y,L(x,w,v5))). a(x,a(y,z,x),a(u,w,v5)) = a(x,x,a(y,z,a(v5,w,u))). L(x,x,a(y,z,u * L(u,w,v5))) = x * a(a(x,a(v5,w,x),u),z,y). L(x,x,a(y,z,u * L(u,w,v5))) * L(x \ L(x,z,y),a(v5,w,x \ L(x,z,y)),u) = L(R(x,x \ L(x,z,y),u \ L(u,w,v5)),z,y). L(x,a(y,a(x,z,y),u),w) = L(x,x,a(a(u,y,w),z,y)). a(x,y,L(z,u,u)) \ u = a(x,y,z) \ L(u,a(x,y,u),z). ((x * L(x,y,z)) * a(u,w,v5)) * ((x * L(x,y,z)) \ x) = L(a(u,w,v5) * x,x,a(z,y,x)). L(L(x,x,a(y,y,L(L(z,u,w),a(w,u,y),z))),x,L(y,y,z)) = L(x,x,L(y,a(w,u,y),z)). L(1 * a(x,y,a(z,u * z,u)),z,u) = a(z,u * z,a(u * z,y,x)). a(x,y,a(z,u,y)) * a(z,u,a(y,a(w,v5,y),x)) = a(y,a(z,u,y),L(x,v5,w)). L(x,a(y,z,u),y * L(y,w,v5)) = ((x \ a(u,z,a(y,a(v5,w,y),x))) \ 1) * a(x \ 1,x,x). (1 / x) \ a(x,y,a(z,a(y,u,z),w)) = L(x,u,a(z,z,a(w,y,y))). a(x,a(y,z,x),L(u,w,v5)) * a(u,x,a(y,z,x)) = a(y,z,a(x,a(v5,w,x),u)). R(x,a(y,z,u),y * L(y,w,v5)) = x * a(u,z,a(y,a(v5,w,y),x)). (L(x,y,z) \ x) * a(L(u,y,z),x,x * (x * a(z,y,x * L(x,w,v5)))) = (L(x,y,z) \ x) * a(a(u,x,a(x,y,z)),w,v5). a(x,R(y,y,z),L(R(y,y,z),y \ u,w)) = a(x,y,L(y,a(y,y,z) * u,w)). L(x,y,L(z,z,y)) \ L(x,y,a(z,z,y)) = L(x,L(y,z,z),z) \ x. a(x,y,L(z * a(u,w,w),w \ u,w * u)) = a(x,y,(w \ u) * ((w * u) * z)). a(x,x \ (a(y,z,L(z,u,w)) * v5),L(R(y,z,z) \ y,u,w)) = a(x,x * v5,a(y,z,L(z,u,w))). x * (y \ L(y,z,x \ L(x,u,w))) = L(x,z,y \ L(y,u,w)). L(a(x,y,z),u,a(w,v5,z)) = a(x,y,z). L(L(x,y,z) \ x,x,L(x,u,w) * v5) = L(L(x,y,z) \ x,x,v5). T(L(x,x \ 1,L(x * y,z,u)),w) = L(T(x,w),x \ 1,L(y,z,u) * x). (x \ L(y,z,L(u,y,z))) \ (x \ y) = L(a(u,z,y),y * x,y * x). a(x,((y \ 1) * z) * u,a(w,v5,v6)) = a(x,u * (z * y),a(w,v5,v6)). L(a(x,y,z),u \ a(x,y,z),w) = L(a(x,y,z),u,w). x \ L(x,y,a(a(z,u,w),v5,v6)) = a(v6,v5,x * L(x,y,a(z,u,w))). a(x,a(y,x \ z,x),u) * a(y,y,a(u,x,a(x * z,x \ z,x))) = L(y,x \ z,a(u,x,x)) \ y. a(x,y * z,L(z * L(z,u,w),z,y)) = a(w,u,a(x,y * z,z)). L(x,y,(L(z,u,w) \ 1) * v5) = L(x,y,L(z \ 1,u,w) * v5). a(x,y,(z \ ((u \ 1) * L(u \ 1,u,w))) \ v5) = a(x,y,(z \ a(u \ 1,u,w)) \ v5). L(x,y,a(a(z,u,u) * L(u,w,v5),z,y)) = L(x,L(u \ L(u,z,y),w,v5),y). a(x,y,L(((z \ u) / z) * L(z,w,L(v5,v5,w)),L(v5 \ L(v5,w,z),z,w),z)) = a(x,y,L(v5 \ R(v5,w,z),z,w) \ (z \ u)). R(x,y * a(z,y,u),y * a(z,y,u)) = x * a(x,L(y,u,z),L(y,u,z)). a(x,y,a(z,u,L(y,w,v5))) \ y = L(y,a(z,u,y),L(x,w,v5)). a(L(x,y,z),u,a(w,v5,u)) = a(x,u,a(w,v5,L(u,y,z))). a(x,y,L(y,z,u) * (y \ L(y \ L(y,z,u),w,v5))) * v6 = a(v5,w,a(y,a(u,z,y),x)) * v6. (L(x,y,z) \ (u * L(u \ L(x,y,z),w,v5))) * (R(v6,v7,v8) * L(R(x,y,z) \ u,a(v5,w,L(x,y,z) \ u),L(v6,v7,v8))) = L(R(x,y,z) \ u,w,v5) * R(T(v6,x \ u),v7,v8). a(x,y \ L(y,z,x),u) * (w * L(y,a(x,a(y,z,x),u),w)) = w * L(y,z,a(x,x,u)). a(x \ y,a(x,y,y),z) * (u * (x \ y)) = u * L(x \ y,a(x,y,y),z). a(x,y,a(y * z,y \ z,y)) = a(x,z,a(y,y,z)). L(x,a(y,y,x),z) \ y = L(x \ y,a(x,y,y),z). a(x,x * y,a(z,y,y)) = a(z,x,a(y,y,x)). (x * y) * (L(x * y,y,x) \ z) = (z / x) * R(x,y,y * x). a(a(x,L(y \ 1,z,u),w),v5,L(y,z,u)) = a(a(x,y,w),v5,y). a(a(x,L(y,z,u),w),v5,L(y,z,u)) = a(a(x,y,w),v5,y). (x \ (a(y,z,u) \ u)) \ (x \ u) = L(a(y,z,u),u * x,u * x). a(x,y,a(L(z,u,w),x,v5)) * z = L(z,y,a(x,x,L(v5,u,w))). a(a(x,y,L(z,u,w)),v5,y) = a(y,v5,a(L(x,u,w),y,z)). (x \ L(a(x,y,z),u,u)) \ (x \ a(x,y,z)) = a(u \ (1 / x),u,a(x,y,z)). x * a(y,z,a(u,u,L(x,w,v5))) = L(x,u,a(y,z,L(u,w,v5))). a(x,y,a(z,z,a(u,w,v5))) = a(z,z,a(x,y,a(v5,w,u))). L(x,x,a(y,z,u * L(u,w,v5))) = x * a(v5,w,a(x,a(y,z,x),u)). L(x,x,a(y,z,u * L(u,w,v5))) * L(x \ L(x,z,y),a(v5,w,x * L(x,z,y)),u) = L(R(x,x \ L(x,z,y),u \ L(u,w,v5)),z,y). a(a(x,y,z),u,L(w,v5,v5)) \ v5 = a(w,u,a(x,y,z)) \ L(v5,a(a(x,y,z),u,v5),w). L(a(x,y,a(z,u * z,u)),z,u) = a(z,u * z,a(u * z,y,x)). x * a(x,y,a(z,a(y,u,z),w)) = L(x,u,a(z,z,a(w,y,y))). (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)) = (x * a(z,u,a(y,a(v5,w,y),x))) * a(x,y,a(z,u,y)). L(x,a(y,z,u),y * L(y,w,v5)) = x * a(u,z,a(y,a(v5,w,y),x)). (L(x,y,z) \ x) * a(L(u,y,z),x,L(a(z,y,x * L(x,w,v5)),x,x)) = (L(x,y,z) \ x) * a(a(u,x,a(x,y,z)),w,v5). L(x,y,a(z,z,y)) \ (L(1 / x,y,L(z,z,y)) \ 1) = L(x,L(y,z,z),z) \ x. a(x,y,L(z * a(u,w,w),w * u,w \ u)) = a(x,y,(w \ u) * ((w * u) * z)). a(x,x \ (a(y,z,L(z,u,w)) * v5),L(L(y,z,z) \ y,u,w)) = a(x,x * v5,a(y,z,L(z,u,w))). L(a(x,y,y * ((z \ (a(u,z,w) \ 1)) \ y)) \ 1,z \ a(u,z,w),a(u,z,w)) = (z \ 1) \ (a(u,z,w) * L(a(u,z,w) \ (z \ 1),y,x)). L(a(x,y,z),u,a(z,w,v5)) = a(x,y,z). a(a(x,y,y) * z,x,y) = a(z,x,y). a(x,y,z) * (a(u,w,x) * v5) = a(u,w,x) * (v5 * a(x,y,z)). (a(x,y,z) * u) * a(z,w,v5) = a(x,y,z) * (u * a(z,w,v5)). (L(x,y,z) * u) * L(L(x,w,v5) \ x,x,u) = x * ((L(x,y,z) * u) / L(T(x,u),w,v5)). L(T(x,y),x \ 1,L(z,u,w) * x) = L(T(x,y),x \ 1,L(x * z,u,w)). ((x * (y * z)) / L(z,z,y)) \ (a(y,z,z) * (x * y)) = a(x,y,z). a(x,L(((y \ 1) * z) \ u,z * y,z * y),a(w,v5,v6)) = a(x,u * (z * y),a(w,v5,v6)). ((x \ R(x,y,a(z,u,w))) * y) \ (y * a(z,u,w)) = L(a(z,u,w),y \ a(z,u,w),L(x,x,y)). L(a(x,y,z * L(z,u,a(w,v5,v6))),z,u) = a(z,u * a(a(w,v5,v6),y,x),a(a(w,v5,v6),y,x)). a(x,y * z,L(z * L(z,u,w),y,y)) = a(w,u,a(x,y * z,z)). L(a(x,y,(z \ y) * y),z,L((1 / z) \ 1,y,x) * u) * u = z * (L(z,y,x) \ u). a(x,y,(z \ (u * L(u \ 1,u,w))) \ v5) = a(x,y,(z \ a(u \ 1,u,w)) \ v5). L(x,L(y \ L(y,z,u),w,v5),u) = L(x,u,L(y \ R(y,z,u),w,v5)). R(x,y * a(z,y,u),y * a(z,y,u)) = x * a(x,y,y). a(x,a(y,z,u),L(y,w,v5)) = a(x,y,a(u,z,L(y,w,v5))). a(x,y,L(a(z,u,y),w,v5)) = a(x,y,a(z,u,L(y,w,v5))). a(x,y,L(y,z,u) * (y * L(y * L(y,z,u),w,v5))) * v6 = a(v5,w,a(y,a(u,z,y),x)) * v6. (L(x,y,z) \ (u * L(u \ L(x,y,z),w,v5))) * (L(x,y,z) * L(L(x,y,z) \ u,a(v5,w,L(x,y,z) \ u),L(x,y,z))) = L(R(x,y,z) \ u,w,v5) * R(T(x,x \ u),y,z). a(a(x,y,z),u,y) * (w * L(z,a(y,a(z,u,y),x),w)) = w * L(z,u,a(y,y,x)). a(x,y,a(z,y \ x,y)) * (u * (x \ y)) = u * L(x \ y,a(x,y,y),z). a(x,a(y,x \ z,x),u) * a(y,y,a(u,z,a(x,x,z))) = L(y,x \ z,a(u,x,x)) \ y. L(x,y,a(z,x,y)) \ y = L(x \ y,a(x,y,y),z). a(x,y,a(z,z,y)) * (a(x,z,z) * (y \ z)) = y \ (z * a(x,z,z)). a(x,y,z \ ((u / w) * R(w,v5,v5 * w))) = a(x,y,z \ (((w * v5) \ u) * (v5 \ w))). a(L(x,y,z),u,a(w,L(x,y,z),v5)) = a(a(v5,x,w),u,x). L(x,y,L(z \ L(z,u,y),w,v5)) = a(y,u,a(L(x,w,v5),y,z)) * x. a(x \ (1 / y),x,a(y,z,u)) = a(x,x,(a(y,z,u) \ y) * y). L(x,y,L(a(z,u,y),w,v5)) = L(x,y,a(z,u,L(y,w,v5))). L(a(x,y,z),z * u,z * u) = L(a(x,y,z),u * z,u). a(x,x,a(y,z,a(u,w,L(v5,u,w)))) = a(y,z,a(u \ L(u,w,v5),x,x)). L(x,x,a(y,z,u * L(u,w,v5))) * (x \ L(x,z,y)) = L(R(x,x \ L(x,z,y),u \ L(u,w,v5)),z,y). a(x,y,a(z,u,w)) \ L(v5,a(a(z,u,w),y,v5),x) = a(L(x,v5,v5),y,a(z,u,w)) * v5. a(L(a(x,y * x,y),x,y),z,u) = a(x,y * x,a(y * x,z,u)). L(x,y,a(z,a(y,u,z),w)) = L(x,u,a(z,z,a(w,y,y))). (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)) = x * (a(x,y,a(z,u,y)) * a(z,u,a(y,a(v5,w,y),x))). (L(x,y,z) \ x) * a(L(u,y,z),x,a(z,y,x * L(x,w,v5))) = (L(x,y,z) \ x) * a(a(u,x,a(x,y,z)),w,v5). a(x,y,L(z * a(u,w,w),w * u,w \ u)) = a(x,y,(u * w) * (z * (w \ u))). a(x,x \ (a(y,z,L(z,u,w)) * v5),a(z,z,L(y,u,w))) = a(x,x * v5,a(y,z,L(z,u,w))). L(a(x,y,((z \ a(u,z,w)) \ y) * y) \ 1,z \ a(u,z,w),a(u,z,w)) = (z \ 1) \ (a(u,z,w) * L(a(u,z,w) \ (z \ 1),y,x)). a(x,y,z) \ (u * a(z,w,v5)) = (a(x,y,z) \ u) * a(z,w,v5). L(a(x,y,z),u,a(w,v5,x)) = a(x,y,z). a(x,y,z) \ (u * a(x,w,v5)) = (a(x,y,z) \ u) * a(x,w,v5). L(x,y,z) * (u * L(L(x,w,v5) \ x,x,u)) = x * ((L(x,y,z) * u) / L(T(x,u),w,v5)). L(T(x,x \ 1),x \ 1,L(x * y,z,u)) = L(x,x,L(y,z,u)). ((x \ L(x,y,a(z,u,w))) * y) \ (y * a(z,u,w)) = L(a(z,u,w),y \ a(z,u,w),L(x,x,y)). a(x,y * a(a(z,u,w),v5,v6),a(a(z,u,w),v5,v6)) = a(v6,v5,L(x * L(x,y,a(z,u,w)),x,y)). a(x,y * z,y \ (z * (L(z,u,w) \ y))) = a(w,u,a(x,y * z,z)). L(a(x,y,(z \ y) * y),z,L(z,y,x) * u) * u = z * (L(z,y,x) \ u). a(x,y,(z \ a(u \ 1,u,w)) \ v5) = a(x,y,(z \ (u \ L(u,u,w))) \ v5). L(x,L(y \ L(y,z,u),w,v5),u) = L(x,u,L(y \ L(y,z,u),w,v5)). R(x,y * a(z,y,u),y * a(z,y,u)) = R(x,y,y). a(x,y,a(z,u,L(y,w,v5))) * L(y,w,v5) = L(L(y,w,v5),a(y,u,z),x). (a(x,y,a(z,x,L(y,u,w))) \ y) * L(a(z,x,y) \ 1,u,w) = y * L(y \ L(y,x,z),u,w). a(x,y,y * (L(y,z,u) * L(y * L(y,z,u),w,v5))) * v6 = a(v5,w,a(y,a(u,z,y),x)) * v6. L(R(x,y,z) \ u,w,v5) * R(T(x,x \ u),y,z) = L(x,y,z) * L(L(x,y,z) \ u,w,v5). a(a(x,y,z),u,y) * (w * L(z,z,a(a(x,y,w),u,y))) = w * L(z,u,a(y,y,x)). a(x,y,a(z,z,y)) * (u * (y \ z)) = u * L(y \ z,a(y,z,z),x). a(x,a(y,x \ z,x),u) * a(y,y,a(u,z,a(x,x,z))) = y \ L(y,x \ z,a(u,x,x)). L(x \ y,a(x,y,y),z) = L(x \ y,y,a(z,x,y)). L(x,y,L(z \ L(z,u,y),w,v5)) = L(x,u,a(y,y,L(z,w,v5))). a(x \ (1 / y),x,a(y,z,u)) = a(x,x,y * (y * a(y,z,u))). L(x,a(y,z,u),L(u,w,v5)) = L(x,u,a(y,z,L(u,w,v5))). L(a(x,y,z) \ (L(z,u,w) \ v5),z,a(x,y,L(z,u,w))) = (a(x,y,z) * L(z,u,w)) \ v5. (a(x,y,z) \ (u / z)) * ((u / z) \ a(x,y,z)) = L(a(x,y,z),u * z,u) \ a(x,y,z). a(x,x,a(y,z,a(u,w,L(v5,u,w)))) = a(y,z,a(x,a(v5,w,x),u)). a(a(x,y,z * L(z,u,w)),v5,v5) \ L(v5,y,x) = L(R(v5,v5 \ L(v5,y,x),z \ L(z,u,w)),y,x). L(x,a(a(y,z,u),w,x),v5) * a(v5,w,a(y,z,u)) = a(L(v5,x,x),w,a(y,z,u)) * x. a(x,y * x,a(y * x,z,u)) = a(a(x,y * x,y),z,u). (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)) = x * a(y,a(z,u,y),L(x,w,v5)). (L(x,y,z) \ x) * a(a(z,y,x * L(x,u,w)),x,v5) = (L(x,y,z) \ x) * a(a(v5,x,a(x,y,z)),u,w). a(x,y,((z * u) \ a(z \ 1,z,u)) \ ((z * u) \ w)) = a(x,y,(u * z) * (w * (z \ u))). a(x,x * (a(y,z,L(z,u,w)) * v5),a(z,z,L(y,u,w))) = a(x,x * v5,a(y,z,L(z,u,w))). L(a(x,y,((z * a(u,z,w)) \ y) * y) \ 1,z \ a(u,z,w),a(u,z,w)) = (z \ 1) \ (a(u,z,w) * L(a(u,z,w) \ (z \ 1),y,x)). L(a(x,y,z),u,a(x,w,v5)) = a(x,y,z). a(x,y,L(z,u,a(w,v5,x))) = a(x,y,z). L(x,a(y,z,u),a(y,w,v5)) * (a(y,w,v5) \ a(y,z,u)) = (a(y,w,v5) \ x) * a(y,z,u). x * ((L(x,y,z) * u) / L(T(x,u),w,v5)) = L(x,y,z) * (x * (L(x,w,v5) \ u)). (L(x * y,z,u) * (x \ 1)) \ L(x * y,z,u) = L(x,x,L(y,z,u)). L(a(x,y,z),u \ a(x,y,z),L(w,w,u)) = L(a(x,y,z),u,(w \ u) * u). a(x,y * a(a(z,u,w),v5,v6),a(a(z,u,w),v5,v6)) = a(v6,v5,a(a(z,u,w),y,x)). ((x * (y * z)) \ (x * (y * R(z,u,w)))) \ (y \ ((y / z) * R(z,u,w))) = a(w,u,a(x,y * z,z)). a(x,y,(z \ a(u \ 1,u,w)) \ v5) = a(x,y,(z \ a(w,u,u)) \ v5). R(x,y * a(z,y,u),y * a(u,y,z)) = R(x,y,y). L(x,a(y,z,x),L(z,u,w)) * L(a(y,z,x) \ 1,u,w) = x * L(x \ L(x,z,y),u,w). a(x,y,a(z,u,y * L(y,w,v5))) * v6 = a(v5,w,a(y,a(z,u,y),x)) * v6. R(x,y,z) * L(R(x,y,z) \ u,w,v5) = L(x,y,z) * L(L(x,y,z) \ u,w,v5). a(x,a(y,x \ z,x),u) * a(y,y,a(u,z,a(x,x,z))) = a(a(u,x,y),x \ z,x). a(x,y,z \ ((u / w) * L(w,v5,v5 * w))) = a(x,y,z \ (((w * v5) \ u) * (v5 \ w))). a(x,y,a(z,z,y)) * (u * (y \ z)) = u * L(y \ z,z,a(x,y,z)). L(x,L(y \ L(y,z,u),w,v5),u) = L(x,z,a(u,u,L(y,w,v5))). a(x \ (1 / y),x,a(y,z,u)) = a(x,x,L(a(y,z,u),y,y)). a(x,x,a(y,z,u \ R(u,w,v5))) = a(y,z,a(x,a(v5,w,x),u)). a(x,x,a(y,z,u * L(u,w,v5))) * L(x,z,y) = L(R(x,x \ L(x,z,y),u \ L(u,w,v5)),z,y). x * a(a(x,y * x,y),z,u) = L(x,y * x,a(y * x,z,u)). (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)) = L(x,a(z,u,y),L(y,w,v5)). (L(x,y,z) \ x) * a(x,a(z,y,x * L(x,u,w)),v5) = (L(x,y,z) \ x) * a(a(v5,x,a(x,y,z)),u,w). L(a(x,y,((z * a(u,z,w)) \ y) * y) \ 1,z,a(u,z,w)) = (z \ 1) \ (a(u,z,w) * L(a(u,z,w) \ (z \ 1),y,x)). a(x,y,L(z,u,a(x,w,v5))) = a(x,y,z). L(x,a(y,z,u),a(y,w,v5)) = L(x,a(y,w,v5),a(y,z,u)). x * ((L(x,y,z) * u) / L(T(x,u),w,v5)) = x * (L(x,y,z) * (L(x,w,v5) \ u)). L(x,x,x * L(y,z,u)) = L(x,x,L(x * y,z,u)). (a(x,y,z) \ (u / z)) * ((u / z) \ a(x,y,z)) = a(u,u * z,a(x,y,z)). L(a(x,y,z),u,L(w,w,u)) = L(a(x,y,z),u,(w \ u) * u). a(a(a(x,y,z),u,w),v5,v6) = a(w,u,a(a(x,y,z),v5,v6)). a(x,y,((z * u) \ a(u,z,z)) \ ((z * u) \ w)) = a(x,y,(u * z) * (w * (z \ u))). (L(x \ 1,y,z) * y) \ R(x \ 1,y,y) = y \ a(z,y,x). L(x,x,a(y,y,L(z,u,w))) * L(a(z,y,x) \ 1,u,w) = x * L(x \ L(x,y,z),u,w). a(x,y,a(z,a(u,w,z),v5)) * L(z,y,x) = L(L(z,a(u,w,z * L(z,y,x)),v5),y,x). L(x / T(y,z),y,y) * L(L(x / T(y,z),y,y) \ u,w,v5) = (x * (T(y,z) \ 1)) * L(R(x / T(y,z),y,y) \ u,w,v5). a(x,a(y,x \ z,x),u) * a(y,y,a(u,z,a(x,x,z))) = a(a(u,x,y),x * z,x). a(x,y,z \ (((u * w) \ v5) * (w \ u))) = a(x,y,z \ (L(u,w,w) * (v5 / u))). a(x,y,y) * L(z \ y,y,a(x,z,y)) = z \ (y * a(x,y,y)). a(x,y,L(((z \ u) / z) * L(z,w,L(v5,v5,w)),w,a(z,z,L(v5,z,w)))) = a(x,y,L(v5 \ R(v5,w,z),z,w) \ (z \ u)). a(x \ (1 / y),x,a(y,z,u)) = a(x,x,a(y,z,u)). a(x,x,a(y,z,u \ L(u,w,v5))) = a(y,z,a(x,a(v5,w,x),u)). a(x,x,a(y,z,u * L(u,w,v5))) * L(x,z,y) = L(L(x,x \ L(x,z,y),u \ L(u,w,v5)),z,y). L(a(x,y,z),u * a(x,y,z),a(u * a(x,y,z),w,v5)) = a(x,y,z) * a(a(u,u,a(x,y,z)),w,v5). (a(x,y,a(z,u,y)) \ L(a(x,y,a(z,u,y)),w,v5)) * L(x,y,a(z,u,y)) = L(x,y,a(z,u,L(y,w,v5))). x * (L(x,y,z) \ a(x,a(z,y,x * L(x,u,w)),v5)) = (L(x,y,z) \ x) * a(a(v5,x,a(x,y,z)),u,w). L(a(x,y,((z * a(u,z,w)) \ y) * y) \ 1,z,a(u,z,w)) = (z \ 1) \ (a(u,z,w) * L(z \ (a(u,z,w) \ 1),y,x)). L(x,a(y,z,u),a(w,v5,y)) = L(x,a(y,v5,w),a(y,z,u)). x * (L(x,y,z) \ (L(x,u,w) * v5)) = x * (L(x,u,w) * (L(x,y,z) \ v5)). ((x * L(y,z,u)) * x) \ (x * L(y,z,u)) = (1 / x) * ((x \ 1) * L(x,x,L(x * y,z,u))). (a(x,y,z) \ (z \ u)) * ((z \ u) \ a(x,y,z)) = a(u,u * z,a(x,y,z)). a(x,y,a(a(z,u,w),v5,v6)) = a(v6,v5,a(a(w,u,z),y,x)). a(x,y,a(a(z,u,w),v5,v6)) = a(v6,v5,a(x,y,a(z,u,w))). a(a(x,y,a(z,u,w)),v5,v6) = a(x,y,a(a(w,u,z),v5,v6)). a(x,y,(z \ u) \ ((z * u) \ w)) = a(x,y,(u * z) * (w * (z \ u))). (x \ 1) * (L(y \ 1,x,z) \ (y \ 1)) = x \ a(z,x,y). L(a(x,y,z),u,w) \ L(z,z,a(y,y,L(x,u,w))) = z * L(z \ L(z,y,x),u,w). L(x / T(y,z),y,y) * L(L(x / T(y,z),y,y) \ u,w,v5) = (x * (T(y,z) \ 1)) * L((x * (T(y,z) \ 1)) \ u,w,v5). a(x,a(y,z,x),u) * a(y,y,a(u,z,a(x,x,z))) = a(a(u,x,y),x * z,x). a(x,y,z \ (((u * w) \ v5) * (w \ u))) = a(x,y,z \ (u * (L(u,w,w) \ v5))). a(x,y,L(((z \ u) / z) * L(z,w,L(v5,v5,w)),w,a(z,z,v5))) = a(x,y,L(v5 \ R(v5,w,z),z,w) \ (z \ u)). a((1 / x) * y,y,a(z,u,x)) = a(y,y,a(x,u,z)). a(x,x,a(y,z,u * L(u,w,v5))) = a(y,z,a(x,a(v5,w,x),u)). a(x,x,a(y,z,u * L(u,w,v5))) * L(x,z,y) = L(L(x,a(y,z,x),u \ L(u,w,v5)),z,y). L(a(x,y,z),u * a(x,y,z),a(u * a(x,y,z),w,v5)) = a(x,y,z) * a(u,a(v5,w,u),a(x,y,z)). (a(x,y,a(z,u,y)) \ a(L(a(z,u,y),w,v5),y,x)) * L(x,y,a(z,u,y)) = L(x,y,a(z,u,L(y,w,v5))). L(x,y,z) \ L(x,a(z,y,x * L(x,u,w)),v5) = (L(x,y,z) \ x) * a(a(v5,x,a(x,y,z)),u,w). L(a(x,y,((z * a(u,z,w)) \ y) * y) \ 1,z,a(u,z,w)) = (z \ 1) \ (a(u,z,w) \ L(z \ a(u,z,w),y,x)). L(x,y,z) \ (L(x,u,w) * v5) = L(x,u,w) * (L(x,y,z) \ v5). ((x * L(y,z,u)) * x) \ (x * L(y,z,u)) = (1 / x) * L((x \ 1) * L(x,x,x * y),z,u). a(x * y,x * y,a(z,u,x)) = a(y,y * x,a(z,u,x)). a(x,y,a(z,u,a(w,v5,v6))) = a(z,u,a(x,y,a(v6,v5,w))). x * a(x,y,a(a(z,u,w),x,v5)) = L(x,a(a(w,u,z),y,x),v5). a(L(a(x,y,z),u,u \ a(x,y,z)) \ a(x,y,z),w,v5) = a(u \ a(x,y,z),u,a(a(z,y,x),w,v5)). x * a(y,z,a(a(u,w,x),x,v5)) = L(x,a(a(x,w,u),z,y),v5). ((x \ a(y,z,a(a(u,w,v5),v5,x))) \ 1) * a(x \ 1,x,x) = L(x,v5,a(y,z,a(v5,w,u))). a(x,y,((z * (u * T(u \ (z \ w),v5))) * u) * (v6 * (u \ (z * (u * T(u \ (z \ w),v5)))))) = a(x,y,T(z * T(z \ (w / u),v5),u) \ ((u * (z * (u * T(u \ (z \ w),v5)))) \ v6)). (x \ 1) * (L(y,x,z) \ y) = x \ a(z,x,y). L(a(x,y,z),x,y) \ L(z,z,L(x,y,y) \ x) = z * L(z \ L(z,y,x),x,y). L(x / T(y,z),y,y) * L(L(x / T(y,z),y,y) \ u,w,v5) = x * ((T(y,z) \ 1) * L((T(y,z) \ 1) \ (x \ u),w,v5)). a(a(x,y,z),y * u,y) = a(a(x,y,z),u,y). a(x,y,z \ ((u * w) * (L(u * w,w \ 1,w) \ v5))) = a(x,y,z \ (u * (L(u,w,w) \ v5))). a(x,y,L((z \ (z \ u)) * L(z,w,L(v5,v5,w)),w,a(z,z,v5))) = a(x,y,L(v5 \ R(v5,w,z),z,w) \ (z \ u)). a((x \ 1) * y,y,a(z,u,x)) = a(y,y,a(x,u,z)). a(x,x,a(y,z,u * L(u,w,v5))) * L(x,z,y) = L(L(x,x,a(y,z,u * L(u,w,v5))),z,y). L(a(x,y,z),u * a(x,y,z),a(u * a(x,y,z),w,v5)) = L(a(x,y,z),u,a(v5,w,u)). (a(x,y,a(z,u,y)) \ a(y,a(z,u,y),L(x,w,v5))) * L(x,y,a(z,u,y)) = L(x,y,a(z,u,L(y,w,v5))). L(L(x,a(y,z,x * L(x,u,w)),v5),u,w) \ x = (L(x,u,w) \ x) * a(a(v5,x,a(x,u,w)),z,y). L(a(x,y,((z * a(u,z,w)) \ y) * y) \ 1,z,a(u,z,w)) = (z \ 1) \ (z \ L(L(z \ L(z,y,x),w,u),u,w)). x * (L(x,y,z) \ ((L(1 / x,u,w) \ 1) \ v5)) = x \ (L(x,u,w) * (L(x,y,z) \ v5)). ((x * L(y,z,u)) * x) \ (x * L(y,z,u)) = x \ L(x \ L(x,x,x * y),z,u). a(x * y,x * y,a(x,z,u)) = a(y,y * x,a(u,z,x)). L(x,a(a(y,z,u),w,x),v5) = L(x,w,a(a(u,z,y),x,v5)). a(L(a(x,y,z),u,u) \ a(x,y,z),w,v5) = a(u \ a(x,y,z),u,a(a(z,y,x),w,v5)). x * a(y,z,a(x,a(u,w,x),v5)) = L(x,a(a(x,w,u),z,y),v5). ((x \ a(y,z,a(u,a(w,v5,u),x))) \ 1) * a(x \ 1,x,x) = L(x,u,a(y,z,a(u,v5,w))). a(x,y,((z * (u * T(u \ (z \ w),v5))) * u) * (v6 * (u \ (z * (u * T(u \ (z \ w),v5)))))) = a(x,y,(z * T(z \ (w / u),v5)) \ ((u * (z * (u * T(u \ (z \ w),v5)))) \ v6)). L(x,y,z) \ x = a(z,y,x). (x \ R(x,y,z)) \ L(z,z,L(x,y,y) \ x) = z * L(z \ L(z,y,x),x,y). L(x / T(y,z),y,y) * L(L(x / T(y,z),y,y) \ u,w,v5) = x * (T(y,z) * L(T(y,z) \ (x \ u),w,v5)). a(a(x,y,z),u * y,y) = a(a(x,y,z),u,y). a(x,y,z \ ((u / (w * v5)) * ((w \ 1) \ v5))) = a(x,y,z \ (v5 * (L(v5,w,w) \ u))). a(x,y,L(z * (L(z,u,L(w,w,u)) \ (z \ v5)),u,a(z,z,w))) = a(x,y,L(w \ R(w,u,z),z,u) \ (z \ v5)). a(x * y,x,a(z,u,y)) = a(x,x,a(y,u,z)). L(L(x,x,a(y,z,u * L(u,w,v5))),z,y) = a(y,z,a(x,a(v5,w,x),u)) * L(x,z,y). L(a(x,y,z),u,a(u * a(x,y,z),w,v5)) = L(a(x,y,z),u,a(v5,w,u)). (a(x,a(y,z,x),L(u,w,v5)) * a(u,x,a(y,z,x))) * L(u,x,a(y,z,x)) = L(u,x,a(y,z,L(x,w,v5))). L(L(x,a(y,z,x * L(x,u,w)),v5),u,w) \ x = (L(x,u,w) \ x) * a(w,u,a(x,a(y,z,x),v5)). L(a(x,y,((z * a(u,z,w)) \ y) * y) \ 1,z,a(u,z,w)) = L((z \ 1) \ (z \ L(z \ L(z,y,x),w,u)),u,w). x * (L(x,y,z) \ ((L(1 / x,u,w) \ 1) \ v5)) = ((L(x,y,z) \ v5) / x) * L(x,u,w). ((x * L(y,z,u)) * x) \ (x * L(y,z,u)) = L(x \ 1,x,L(x * y,z,u)). L(a(x,y,z),x \ u,(x \ u) * a(x,y,z)) = a(u,u * x,a(z,y,x)) \ a(x,y,z). L(x,y,a(a(z,u,w),x,v5)) * a(v5,y,a(w,u,z)) = a(L(v5,x,x),y,a(w,u,z)) * x. a(x \ a(y,z,u),x,a(a(u,z,y),w,v5)) = a(a(x,x,a(y,z,u)),w,v5). L(x,x,a(y,z,u * L(u,w,v5))) = L(x,a(a(x,z,y),w,v5),u). L(x,a(y,z,u),y * L(y,w,v5)) = L(x,y,a(u,z,a(y,w,v5))). a(x,y,((z * (u * T(u \ (z \ w),v5))) * u) * (v6 * (u \ (z * (u * T(u \ (z \ w),v5)))))) = a(x,y,(z * (z \ (w / u))) \ ((u * (z * (u * T(u \ (z \ w),v5)))) \ v6)). L(x,y,a(z,u,w)) \ x = a(x,y,a(w,u,z)). x / a(y,z,x) = L(x,z,y). L(x,y,z) * a(z,y,x) = x. x * (L(y,z,u) \ y) = a(u,z,y) * x. a(x,y,a(z,x,y)) = 1. a(x,L(y,z,u),L(z,z,y)) = a(x,L(y,z,u),z). a(x,y,y * (z \ y)) = a(x,y,z). a(x,y,(z \ y) * y) = a(x,y,z). ((x * (y * z)) / L(z,z,y)) \ (x * R(y,z,z)) = a(x,L(y,z,z),z). x \ L(x,y,a(z,u,w)) = a(a(w,u,z),y,x). L(L(x,y,z) \ x,u,w) = a(z,y,L(x,u,w)). x \ (L(y / x,z,u) \ y) = a(u,z,y \ x). a(x,y,z) \ z = L(z,y,x). L(x,x,a(y,z,z)) = x. L(x,x,a(y,y,z)) = x. a(x,y,z) * L(z,y,x) = z. (x \ L(x,y,z)) \ u = u * a(z,y,x). a(x,x,a(y,y,z)) = 1. a(x,y,z * L(z,u,w)) = a(x,y,a(w,u,z)). x * (L(x,y,z) \ L(x,u,w)) = a(z,y,x) * L(x,u,w). a(x,y,z \ (u \ L(u,w,v5))) = a(x,y,z \ a(v5,w,u)). L(1 / x,y,z) \ 1 = a(z,y,x) * x. L(x,y,z \ L(z,u,w)) = L(x,y,a(w,u,z)). L(x,y \ L(y,z,u),w) = L(x,a(u,z,y),w). a(x,y \ L(y,z,u),w) = a(x,a(u,z,y),w). ((x \ y) / x) * L(x,z,u) = (x * a(u,z,x)) \ y. (x \ L(x,y,z)) * u = a(z,y,x) \ u. x * (y \ L(y,z,u)) = a(u,z,y) \ x. (x * a(x,y,z)) \ z = x \ L(z,y,x). a(x,y,a(z * (u \ z),z,w)) = a(x,y,a(w,z,u)). a(x,y,z * L(z,u,w)) = a(a(x,y,z),u,w). x * (L(x,y,z) \ a(u,x,w)) = a(z,y,x) * a(u,x,w). a(x,y,a(y,z,u)) = a(y,y,a(u,z,x)). L(x * y,y,a(z,u,y)) = (x * L(y,u,z)) * a(z,u,y). (x \ R(x,y,z)) \ L(z,z,a(y,y,x)) = z * L(z \ L(z,y,x),x,y). L(x / T(y,z),y,y) * L(L(x / T(y,z),y,y) \ u,w,v5) = x * (y * L(y \ (x \ u),w,v5)). a(x,y * x,a(z,x,u)) = a(a(z,x,u),y,x). a(a(x,y,z),u * (a(y,y,w) \ y),y) = a(a(x,y,z),a(y,y,w) \ u,y). a(x,y,z \ ((u / (w * v5)) * (w \ v5))) = a(x,y,z \ (v5 * (L(v5,w,w) \ u))). a(x,y,L(L(z,u,L(w,w,u)) \ v5,u,a(z,z,w))) = a(x,y,L(w \ R(w,u,z),z,u) \ (z \ v5)). L(L(x,a(y,z,x * L(x,u,w)),v5),u,w) = L(L(x,x,a(w,u,v5 * L(v5,z,y))),u,w). a(x,y,a(z,a(u,w,z),v5)) * L(v5,z,a(x,y,z)) = L(v5,z,a(x,y,L(z,w,u))). L(L(x,a(y,z,x * L(x,u,w)),v5),u,w) \ x = L(L(x,u,w) \ x,a(y,z,x),v5). L(a(x,y,((z * a(u,z,w)) \ y) * y) \ 1,z,a(u,z,w)) = L(L(z \ L(z,y,x),w,u),u,w). L(x \ 1,x,x * L(y,z,u)) = L(x \ 1,x,L(x * y,z,u)). L(a(x,y,z),x \ u,(x \ u) * a(x,y,z)) = a(x,y,z) * a(u,u * x,a(z,y,x)). a(x \ a(y,z,u),x,a(a(u,z,y),w,v5)) = a(x,a(v5,w,x),a(y,z,u)). x * a(y,z,a(u,a(w,v5,u),x)) = L(x,u,a(y,z,a(u,v5,w))). x \ L(x,y,a(z,u,w)) = a(x,y,a(z,u,w)). L(x,y,z) \ x != u | a(z,y,x) = u. a(x,y,z) \ 1 = L(z,y,x) / z. a(x,x,a(y,z,z)) = 1. R(x,y,z) \ x = a(x,y,z) \ 1. a(x,y,z \ y) = a(x,y,z * y). x * (L(x,y,a(z,u,w)) \ L(x,v5,v6)) = a(v6,v5,x) \ L(x,y,a(z,u,w)). a(x,y,L(z,z,u)) \ u = (u / z) * L(z,y,x). a(a(x,y,z),u,y) = a(y,a(y,u,z),x). a(x,y,z \ (x * y)) = a(x,y,(x \ z) * y). a(x,y,L(z,u * L(u,w,v5),v6)) = a(x,y,L(z,a(v5,w,u),v6)). x * L(y \ L(y,z,u),w,v5) = a(u,z,L(y,w,v5)) \ x. L(x,a(y,z,u),w * L(w,v5,v6)) = L(x,a(u,z,y),a(v6,v5,w)). a(x,a(y,z,x),u) = a(x,x,a(y,z,u)). L(x,a(y,z,x),u) = L(x,x,a(y,z,u)). L(a(x,y,z) \ u,z,a(x,y,z)) = (u / z) * L(z,y,x). a(a(x,y,z),u,u) = a(z,u,a(x,y,u)). L(a(x,y,z),z,L(z,y,x) * u) * u = z * (L(z,y,x) \ u). L(L(a(x,y,z),u,w),z,y) = a(x,y,L(z,u,w)). a(x,y,L(z * L(z,u,w),v5,v6) * v7) = a(x,y,a(w,u,L(z,v5,v6)) * v7). (1 / x) \ a(y,z,L(u,x,x)) = x * (L(u,z,y) \ u). a(x,y,z) * (u * L(L(x,w,v5) \ x,v6,v7)) = (u * a(x,y,z)) * a(v5,w,L(x,v6,v7)). L(a(x,y,z),u,w) = a(x,y,L(z,u,w)). L(a(x,y,a(z,u,w)),v5,v6) = a(a(w,u,z),y,L(x,v5,v6)). (x \ (y * L(y \ (z * x),u,w))) \ T(z,x) = a(w,u,z \ (x \ y)). T(x * (y * L(y \ (x \ z),u,w)),v5) \ T(z,v5) = a(w,u,z \ (x * y)). a(x,y,a(x,y,y) \ z) = L(z,y,x) \ z. x \ (a(y,z,u \ x) \ u) = L(x \ u,z,y). a(x,(y * a(z,u,y)) \ w,v5) = a(x,L(y,u,z) \ w,v5). a(x,y,z) * (x * L(z,y,x)) = L(x,y,z) * R(z,y,x). a(x,y,z) \ L(z,u,a(w,v5,x)) = L(L(z,u,a(w,v5,x)),y,x). L(x,y,a(z,x,y)) = x. L(x \ 1,x,a(y,y,z)) = x \ 1. a(x,y,y) * (z \ 1) = z \ a(x,y,y). a(x,x,y) * (z \ 1) = z \ a(x,x,y). (1 / x) \ a(y,y,z) = a(y,y,z) * x. (x \ 1) * a(y,y,z) = x \ a(y,y,z). a(x,y,z) * x = R(x,y,z). x * a(x,y,z) = R(x,y,z). x \ R(x,y,z) = a(x,y,z). L(x,y,y) * (x \ z) = a(y,y,x) \ z. (x \ 1) * a(y,z,z) = x \ a(y,z,z). (x * y) * a(z,z,y) = x * (y * a(z,z,y)). a(x,y,y) * (z * x) = z * R(x,y,y). (x * a(y,y,x)) * z = x * (a(y,y,x) * z). L(x,y,L(y,x,z)) = L(x,y,y). L(x,x,L(y,z,z)) = L(x,x,y). L(x,x,L(y,a(z,u,y),w)) = L(x,x,L(y,y,w)). a(x,x,y) \ (z \ a(x,x,y)) = z \ 1. a(a(x,y,z),u,w) * w = L(w,u,a(x,y,z)). a(x,y,z) \ a(x,y,L(z,u,w)) = a(x,y,a(w,u,z)). a(x,y,L(z,u,w)) \ a(x,y,z) = a(x,y,a(w,u,z)). L(x,y,z) * a(u,w,a(z,y,x)) = x * L(x \ L(x,y,z),w,u). L(x,y,z) * a(z,y,a(u,w,x)) = x * L(x \ L(x,y,z),w,u). L(x,y,z \ L(z,u,w)) = a(w,u,a(y * (x \ y),y,z)) * x. a(x,y,a(z,u,w)) * (v5 * (L(w,y,x) \ w)) = v5 * L(L(w,y,x) \ w,u,z). a(x,y,z) \ a(u,w,a(x,y,z)) = a(x,y,L(z,w,u)) \ 1. a(x,y,a(z,u,w)) * a(x,y,w) = a(x,y,L(w,u,z)). a(x,y,z) * (u * a(w,v5,a(x,y,z))) = u * a(x,y,L(z,v5,w)). a(x,y,a(z,u,w)) * a(w,y,x) = a(L(w,u,z),y,x). L(x \ y,x,z \ L(z,u,w)) = (a(w,u,z) * x) \ (y * a(w,u,z)). L(x,a(x,y,z),u) = L(x,x,a(z,y,u)). L(L(x,y,a(z,u,w)),w \ L(w,u,z),y) = x * a(z,u,w * L(w,x,y)). (a(x,y,L(z,u,w)) \ v5) * (u \ L(u,w,a(x,y,z))) = a(x,y,L(L(z,u,w),w,u)) \ v5. x * (y \ L(y,z,a(u,w,x))) = L(x,z,y \ L(y,w,u)). x \ ((y / x) * L(x,z,u)) = (x * a(u,z,x)) \ y. L(x,y,z) * (x \ a(x,u,w)) = a(z,y,x) \ a(x,u,w). a(x,y,z * L(z,u,w)) = a(w,u,a(z,y,x)). a(a(x,y,z),u,w) = a(x,y,a(w,u,z)). a(a(x,y,z),u,w) * a(u,w,a(x,y,z)) = a(u,a(x,y,z),w). a(x,y,a(y,z,u)) = a(y,y,a(x,z,u)). a(x,y,a(z,z,u)) = a(z,z,a(x,y,u)). a(x,a(x,y,z),u) = a(x,x,a(z,y,u)). (x \ a(y,y,a(z,u,x))) * L(w,x,a(x,y,a(y,u,z))) = (x \ 1) * (a(x,y,a(y,u,z)) * w). a(x,x,a(y,z,u)) * u = L(u,x,a(x,z,y)). (R(x,y,z) \ x) * L(z,z,a(y,y,x)) = z * L(z \ L(z,y,x),x,y). a(a(x,L(y,z,u),w),v5,L(y,z,u)) = a(a(w,y,x),v5 * L(y,z,u),y). a(a(x,y,z),u * (a(y,y,w) * y),y) = a(a(x,y,z),a(y,y,w) \ u,y). a(x,y,z \ (((u * w) \ v5) * (u \ w))) = a(x,y,z \ (w * (L(w,u,u) \ v5))). a(x,y,L(L(z,u,L(w,w,u)) \ v5,u,a(z,z,w))) = a(x,y,L(R(w,u,z) \ w,z,u) * (z \ v5)). L(L(x,a(y,z,x * L(x,u,w)),v5),u,w) = L(L(x,a(a(x,u,w),z,y),v5),u,w). L(a(x,y,z * a(u,z,w)) \ 1,z,a(u,z,w)) = L(L(z \ L(z,y,x),w,u),u,w). L(x \ 1,x,L(x * (x \ y),z,u)) = R((x \ 1) \ y,z,u) \ (R((x \ 1) \ y,z,u) / (1 / (x \ 1))). L(a(x,y,z),x \ u,(x \ u) * a(x,y,z)) = L(a(x,y,z),u * x,u). a(x \ a(y,z,u),x,a(a(u,z,y),w,v5)) = a(x,x,a(v5,w,a(u,z,y))). L(x,a(y,z,u),u * L(u,w,v5)) = L(x,u,a(v5,w,a(u,z,y))). a((x \ (y * a(z,y,y))) * L(y,y,z),L(y,y,z),a(u,w,v5)) = a(x,L(y,y,z),a(u,w,v5)). a(x * (y \ x),x,a(z,u,w)) = a(y,x,a(z,u,w)). a(x,y,z) * (u * a(w,u * w,a(x,y,z))) = ((u * w) * a(x,y,z)) * ((u * w) \ u). L(x,y,a(z,z,a(u,w,w))) = x. (R(x,y,z) \ x) * z = L(z,y,x). R(x,y,z) \ x = z \ L(z,y,x). a(x,y,z * L(z,u,w \ u)) = a(a(x,y,z),u,w * u). a(x,y,a(z,L(u,u,z),w * L(u,u,z))) = a(x,y,(L(u,u,z) \ w) * ((u \ z) \ (z * w))). a(x,y,z) \ L(z,u,a(w,v5,v6)) = a(a(w,v5,v6),u,z) * L(z,y,x). a(x,y,L(L(z,u,u \ (z \ w)),L(z,u,u \ (z \ w)),w)) \ w = ((w / (u * z)) * u) * L(L(z,u,u \ (z \ w)),y,x). L(x \ y,y,a(z,x,y)) = x \ y. R(x,y,z) / x = a(x,y,z). R(x,y,(y \ z) * z) = R(x,y,L(y,z,z)). x \ (y \ R(y * x,z,u)) = L(a(y * x,z,u),x,y). x \ L(x,y,z \ L(z,u,w)) = a(x,y,z * L(z,u,w)). a(x,y,L(z,x,y)) = a(x,y,z). x * (L(x,y,z) * a(x,u,w)) = L(x,y,z) * R(x,u,w). R(x,y,z) \ z = x \ L(z,y,x). x \ (y \ R(y * x,z,u)) = a((x \ 1) \ y,z,u). (x \ (y \ z)) \ R(x \ (y \ z),u,w) = L(a((y * x) \ z,u,w),x,y). x \ ((x / y) * R(y,z,u)) = L(a(y,z,u),y,x). x \ (L(R(y,z,u),w,v5) * (L(y,w,v5) \ x)) = L(L(a(y,z,u),w,v5),y,L(x,w,v5)). L(a(x * y,z,u),x,x) = x \ (y \ R(y * x,z,u)). (x \ y) * a(z,z,x) = L(x,z,z) \ y. a(x,a(x,y,z),u) * (w * L(z,z,a(a(u,x,w),y,x))) = w * L(z,y,a(x,x,u)). a(x,y,((z * u) \ w) \ (z \ (u \ w))) = a(x,y,a(u,z,(u \ w) * z)). a(x,y,z) * (a(u,w,L(x,a(x,y,z),v5)) \ v5) = v5 * (a(x,y,z) * (x \ L(x,w,u))). (x * y) * (a(x,y,L(z,u,w)) \ z) = x * ((y * z) * a(w,u,a(x,y,z))). L(x,x * y,a(z,z,a(u,w,v5))) \ (y * a(u,w,a(z,z,v5))) = (x \ y) * a(z,a(u,w,z),v5). L(x,y,a(z,z,a(u,w,w))) = L(x,w,a(z,z,a(w,y,u))). a(x,y,a(z,z,a(u,w,v5))) * L(v5,z,a(x,y,z)) = L(v5,z,a(x,y,L(z,w,u))). (x * L(y,y,a(z,u,x))) * (y \ L(y,u,z)) = x * L(y,u,z). L(x,x,a(y,z,u)) \ R(x,z,y) = L(x \ R(x,z,y),x,u). a(x,y,a(z,u,y)) = a(y,y,a(x,u,z)). (1 / x) \ a(y,z,L(u,x,x)) = x * a(y,z,u). (x * a(y,z,u)) * a(w,v5,L(y,v6,v7)) = a(y,z,u) * (x * a(w,v5,L(y,v6,v7))). L(a(x,y,L(z,u,w)),u,w) = a(x,y,z). a(x,y,a(z,u,w)) * a(w,u,z) = a(w,u,L(z,y,x)). a(x,y,z) * a(u,w,a(z,y,x)) = a(x,y,L(z,w,u)). R(a(x,y,z),u,w) = a(x,y,L(z,u,w)). a(x,y,L(z,u,a(u * a(x,y,z),w,v5))) = L(a(x,y,z),u,a(v5,w,u)). L(a(x,y,z),u,(w \ u) * u) = a(x,y,L(z,u,L(w,w,u))). L(a(x,y,z),u,L(w * v5,w * v5,w)) = a(x,y,L(z,u,L(w \ v5,v5,v5))). a(x,y,L(z,L(u,w,a(x,y,z)) * w,v5)) = L(a(x,y,z),(a(x,y,z) * w) * u,v5). (x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)). a(x,y,L(z,u,u)) * u = (1 / u) \ a(x,y,z). a(x,y,z) \ a(x,y,L(z,u,w)) = a(w,u,a(x,y,z)). a(x,y,a(z,u,w)) * (a(z,u,w) \ v5) = a(z,u,L(w,y,x)) \ v5. L(a(x,y,a(z,u,w)),v5,v6) = a(x,y,a(z,u,L(w,v5,v6))). L(a(x,y,a(z,u,w)),v5,v6) = a(a(w,u,L(z,v5,v6)),y,x). a(x,y,L(z,u,u * w)) \ w = (w / u) * (a(x,y,z) \ u). (a(x,y,L(z,u,w)) \ w) * (u \ L(u,w,a(x,y,z))) = u \ ((a(x,y,z) \ u) * w). a(x,y,a(z,u,L(w,v5,x))) = a(x,y,a(z,u,w)). a(x,y,a(z,u,L(w,v5,a(x,v6,v7)))) = a(x,y,a(z,u,w)). L(x,x,a(y,z,L(u,w,w))) = L(x,x,a(y,z,u)). L(a(x,y,L(z,u,w)),z,y) = a(x,y,L(z,u,w)). L(a(x,y,a(z,u,w)),v5,v6) = a(L(x,v5,v6),y,a(z,u,w)). a(x,y,a(x,y,y) * z) = L(z,y,x) \ z. x * (a(x,y,z) * L(z,y,x)) = L(x,y,z) * R(z,y,x). a(x,y,y) * (z \ K(u,z)) = T(z,u) \ a(x,y,y). a(x,x,L(y,z,z)) = a(x,x,y). (1 / (((x / y) * (y * a(z,z,u))) / a(z,z,u))) \ a(z,z,u) = L(a(z,z,u),y,y \ x) * x. (x / (y \ a(z,z,u))) * (y \ 1) = y * ((a(z,z,u) * y) \ x). a((x \ 1) \ (a(y,y,z) \ u),x \ 1,a(y,y,z)) * (a(y,y,z) \ u) = T((u / (x \ a(y,y,z))) * (x \ 1),a(y,y,z)). a(x,x,y) * (y \ z) = L(y,x,x) \ z. a(x,x,y) * (L(y,x,x) * z) = y * z. x * (L(x,y,y) \ z) = a(y,y,x) * z. x * (a(y,y,x) \ z) = L(x,y,y) * z. a(x,y,z * (u \ a(w,v5,v5))) = a(x,y,z * (u * a(w,v5,v5))). L(x,y,a(z,z,y)) = x. ((x * (y * z)) / L(z,z,y)) \ (x * R(y,z,z)) = a(x,y,z). L(x,x,L(y,y,z)) = L(x,x,y). a(x,y,z) * a(x,y,a(z,u,w)) = a(x,y,L(z,u,w)). a(x,y,a(z,u,w)) = a(z,u,a(x,y,w)). L(x,y,z \ L(z,u,w)) = a(w,u,a(z,y,x)) * x. a(x,y,a(z,u,w)) * (a(x,y,w) * v5) = v5 * L(L(w,y,x) \ w,u,z). a(x,y,a(z,u,w)) * a(x,y,L(z,u,w)) = a(x,y,z). L(a(x,y,z),x,u) = a(L(x,x,u),y,z). L(x \ y,x,z \ L(z,u,x)) = R(x,u,z) \ (y * a(x,u,z)). L(L(x,y,a(z,u,w)),a(z,u,w),y) = x * a(z,u,w * L(w,x,y)). L(x,y,z \ L(z,u,w)) = x * a(z,y,a(w,u,x)). a(x,y,L(a(z,u,w) \ a(w,v5,v6),w \ a(w,v5,v6),w \ a(w,v5,v6))) = a(x,y,(w \ a(w,v5,v6)) \ L(w,u,z)). a(x,y,z) \ a(L(x,u,w),y,z) = a(w,u,a(x,y,z)). a(x,y,a(z,u,w)) = a(w,u,a(x,y,z)). a(a(x,y,z),u,w) = a(x,y,a(z,u,w)). a(a(x,y,z),u,y) = a(y,y,a(z,u,x)). x \ L(L(x,a(y,z,u),w),w,a(y,z,u)) = a(y,z,a(w,x,u)). a(a(x,y,z),u,w) = a(z,y,a(w,u,x)). a(a(x * y,z,x),u,w) = a(x \ y,z,a(w,u,x)). a(x,y * (z * (u \ 1)),a(w,v5,v6)) = a(w,v5,a(v6,y * (z * u),x)). a(x,y,a(z,a(x,y,u) * w,u)) = a(z,w,a(x,y,u)). L(x * a(y,z,a(u,x,w)),u,a(y,z,w)) = L(x,a(y,z,w),u). a(x,y,a(z,u,w)) * v5 = v5 * a(a(x,y,z),u,w). a(x,y,a(z,u,w)) * v5 = v5 * a(z,u,a(x,y,w)). x * a(y,z,a(u,w,v5)) = x * a(u,w,a(y,z,v5)). a(x,y,a(z,u,w)) * v5 = v5 * a(w,u,a(x,y,z)). a(x,y,a(z,u,w)) * a(u,a(w,y,x),z) = u \ L(u,z,a(x,y,w)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(x,y,a((z \ w) * u,z \ w,z)). a(x,y,a(z,u,a(w,v5,v6))) = a(w,v5,a(x,y,a(z,u,v6))). L(x,y,a(z,u,a(w,x,v5))) * a(w,y,a(v5,u,z)) = a(L(w,x,x),y,a(v5,u,z)) * x. a(x,y,a(z,u,w)) * z = L(z,u,a(x,y,w)). a(x,y,a(z,u,w)) * a(u,z,a(x,y,w)) = a(u,a(x,y,w),z). (a(x,x,a(y,z,u)) * w) * L(v5,a(y,z,a(x,x,u)),w) = w * (a(y,z,a(x,x,u)) * v5). x * (a(y,y,a(z,u,w)) * w) = x * L(w,y,a(y,u,z)). (R(x,y,z) \ x) * L(z,z,a(y,y,x)) = L(z,y,L(x,x,y)). a(a(x,y,z),u * L(y,w,v5),y) = a(a(z,y,x),u,y). a(a(x,y,z),a(y,y,u) \ w,y) = a(a(x,y,z),w * R(y,y,u),y). a(x,y,z \ ((u * w) * ((w \ u) \ v5))) = a(x,y,z \ (u * (L(u,w,w) \ v5))). a(x,y,L(L(z,u,L(w,w,u)) \ v5,u,a(z,z,w))) = a(x,y,L(w * L(w,u,z),z,u) * (z \ v5)). L(L(x,a(a(x,y,z),u,w),v5),y,z) \ x = L(L(x,y,z) \ x,a(w,u,x),v5). L(L(x \ L(x,y,z),u,w),w,u) = a(z,y,x \ a(w,x,u)) \ 1. R((x \ 1) \ y,z,u) \ (R((x \ 1) \ y,z,u) / (1 / (x \ 1))) = L(x \ 1,x,L(y,z,u)). L(a(x,y,z),x \ u,x \ u) = L(a(x,y,z),u * x,u). a(a(x,y,z) * u,u,a(w,v5,a(z,y,x))) = a(u,u,a(w,v5,a(z,y,x))). L(x,a(y,z,u),a(w,v5,y)) = L(x,y,a(w,v5,a(y,z,u))). ((x * y) * a(z,u,w)) * ((x * y) \ x) = x * a(z,u,L(w,x * y,y)). x \ (y * a(z,y,y)) = a(z,y,y) * (x \ y). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,L(y,y \ 1,z) * ((y \ z) / (1 / y))). x \ (y \ R(y * x,z,u)) = a(y * x,z,L(u,x,y)). a(x,y,z) \ (u \ L(u,w,z \ L(z,y,x))) = a(x,y,L(z,w,u)) \ 1. x * (R(y,z,x * (y \ 1)) \ 1) = L(x * (y \ 1),z,y). (x \ (y \ z)) \ R(x \ (y \ z),u,w) = a((y * x) \ z,u,L(w,x,y)). x \ ((x / y) * R(y,z,u)) = a(y,z,L(u,y,x)). x \ (L(R(y,z,u),w,v5) * (L(y,w,v5) \ x)) = L(a(y,z,L(u,w,v5)),y,L(x,w,v5)). a(x * y,z,L(u,x,x)) = x \ (y \ R(y * x,z,u)). (1 / (a(x,x,y) \ ((z / u) * (u * a(x,x,y))))) \ a(x,x,y) = L(a(x,x,y),u,u \ z) * z. a((x \ 1) \ (a(y,y,z) \ u),x,a(y,y,z)) * (a(y,y,z) \ u) = T((u / (x \ a(y,y,z))) * (x \ 1),a(y,y,z)). (x * (y * z)) \ ((a(u,u,x) * (L(x,u,u) * y)) * L(z,y,L(x,u,u))) = a(a(u,u,x),L(x,u,u) * y,L(z,y,L(x,u,u))). a(x,x,y) * (L(y,x,x) / z) = y * L(z \ 1,z,z \ L(y,x,x)). a(x,x,y) * (a(z,z,L(y,x,x)) * u) = y * (L(L(y,x,x),z,z) \ u). L(x,y,y) * (R(y,y,x) * z) = x * (y * z). (a(x,x,y) * y) \ z = y \ (a(x,x,y) \ z). a(x,y,y) * (R(x,y,y) \ z) = x \ z. L(x,L(y,z,z),z) \ x = x \ (L(1 / x,y,L(z,z,y)) \ 1). a(x,y,z * (u \ (w \ (v5 \ (w \ v5))))) = a(x,y,z * (u * a(v5,w,w))). a(x,y,z * (u \ a(w,w,v5))) = a(x,y,z * (u * a(v5,w,w))). a(x,L(y,z,z),z) = a(x,y,z). a((a(x,y,y) * (z \ y)) * L(y,y,x),L(y,y,x),a(u,w,v5)) = a(z,L(y,y,x),a(u,w,v5)). L(x,y,z) * R(z,y,x) = x * z. R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,L(y,y \ 1,z) * ((1 / y) \ (y \ z))). a(x,y,L(z,u,L(w,w,u))) = a(x,y,L(z,u,w)). a(x,y,z * L(z,u,w \ u)) = a(x,y,a(w * u,u,z)). a(x,y,z) \ L(z,u,a(w,v5,v6)) = a(w,v5,a(z,u,v6)) * L(z,y,x). a(x,y,z \ (u * ((w * u) \ z))) \ z = ((z / (u * w)) * u) * L(L(w,u,u \ (w \ z)),y,x). a(x,x,a(y,z,u)) * (w * L(y,y,a(a(u,x,w),z,x))) = w * L(y,z,a(x,x,u)). a(x,y,z) * (a(u,w,L(x,x,a(z,y,v5))) \ v5) = v5 * (a(x,y,z) * (x \ L(x,w,u))). L(x,x * y,a(z,z,a(u,w,v5))) \ (y * a(u,w,a(z,z,v5))) = (x \ y) * a(z,z,a(u,w,v5)). L(x,y,a(z,z,a(y,u,w))) = x. L(x,x,a(y,z,x \ u)) = L(x,a(y,z,x),u). a(x,y,z) \ (u * L(z,z,a(x,y,u))) = u * L(z,y,x). a(x,y,a(z,u,y)) = a(x,u,a(y,y,z)). a(x,y,a(x,y,y) * z) = a(x,y,z). x * a(y,z,a(u,w,L(v5,x,x))) = (1 / x) \ a(y,z,a(u,w,v5)). a((x * y) \ z,u,L(w,y,x)) = a(y \ (x \ z),u,w). a(x * y,z,L(u,y,x)) = a((y \ 1) \ x,z,u). a(x * y,z,L(u,x,x)) = a((x \ 1) \ y,z,u). a(x,y,L(z,u,a(u * a(x,y,z),w,v5))) = a(x,y,L(z,u,a(v5,w,u))). a(x,y,L(z,u,L(w \ v5,v5,v5))) = a(x,y,L(z,u,L(w * v5,w * v5,w))). a(x,y,L(z,L(u,w,a(x,y,z)) * w,v5)) = a(x,y,L(z,(a(x,y,z) * w) * u,v5)). (a(x * a(y,z,u),w,v5) * x) * a(y,z,L(u,x,a(x * a(y,z,u),w,v5))) = R(x * a(y,z,u),w,v5). a(x,y,a(z,u,L(w,v5,v5))) * v5 = (1 / v5) \ a(x,y,a(z,u,w)). a(a(x,y,z),u,L(w,v5,v6)) = a(w,u,a(z,y,L(x,v5,v6))). a(a(x,y,L(z,u,w)),v5,v6) = a(v6,v5,a(z,y,L(x,u,w))). a(x,y,L(z,u,w * u)) \ w = (w / u) * (a(x,y,z) \ u). a(x,y,L(L(z,u,w),w,u)) \ w = u \ ((a(x,y,z) \ u) * w). L(x,x,a(y,z,u \ w)) = L(x,x,a(y,z,u * w)). x \ (L(R(y,z,u),w,v5) * (L(y,w,v5) \ x)) = a(y,z,L(L(u,w,v5),y,L(x,w,v5))). a(x,y,a(z,u,w)) * L(z,u,w) = a(w,u,L(z,y,x)) \ z. a(L(x,y,z),u,a(w,v5,v6)) = a(x,u,a(w,v5,L(v6,y,z))). a(x,y,a(z,u,w)) = a(w,u,a(z,y,x)). a(a(x,y * z,u),w,v5) = a(u,z * y,a(v5,w,x)). a(x,y,a(z,u,w)) = a(w,y,a(z,u,x)). a(x,y,a(a(z,u,w),v5,v6)) = a(x,y,a(z,u,a(v6,v5,w))). a(x,y,a(z,u,a(w,v5,v6))) = a(w,v5,a(x,y,a(v6,u,z))). a(x,y,a(z,u,L(w,v5,x))) = a(z,u,a(x,y,w)). a(x,y,a(z * u,w,v5)) = a(v5,w,a(x,y,u * z)). a(x,y,z) * a(z,y,a(u,w,x)) = a(x,y,L(z,w,u)). a(x,y,a(z,u,w)) * (a(x,y,w) \ v5) = a(x,y,L(w,u,z)) \ v5. a(x,y,a(z,u,w)) * w = L(w,u,a(x,y,z)). a(x,y,a(z,u,w)) * (a(x,y,w) * v5) = v5 * a(x,y,L(w,u,z)). a(x,a(y,z,x),a(u,w,v5)) * a(x,a(y,z,x),L(u,w,v5)) = a(x,x,a(y,z,u)). a(x,y,z) * L(u,a(x,y,L(z,w,v5)),a(x,y,a(z,w,v5))) = a(x,y,a(z,w,v5)) * (a(x,y,L(z,w,v5)) * u). a(L(x,x,y),z,u) = a(x,z,L(u,x,y)). L(x \ y,x,z \ L(z,u,x)) = a(x,u,z) * (R(x,u,z) \ y). L(L(x,y,a(z,u,w)),a(z,u,w),y) = x * a(z,u,a(y,x,w)). x * a(y,z,a(u,w,x)) = L(x,z,a(u,w,y)). a(x,y,L(a(z,u,w) \ a(w,v5,v6),w \ 1,w \ 1)) = a(x,y,(w \ a(w,v5,v6)) \ L(w,u,z)). x * (R(y,z,x * y) \ 1) = L(x * (y \ 1),z,y). a(L(x,y,z),u,w) = a(x,u,L(w,y,z)). a(x,y,a(z,u,w)) = a(w,y,a(x,u,z)). a(x * y,z,a(u,w,v5)) = a(v5,w,a(u,z,y * x)). a(x,y,a(z,u,w)) * v5 = v5 * a(w,u,a(z,y,x)). a(x,y,a(a(z,u,w),v5,v6)) = a(x,y,a(w,u,a(z,v5,v6))). a(x,x,a(a(x,y,z) * u,w,v5)) = a(v5,w,a(x,x,u)). a(x,y,z) * a(z,y,a(x,u,w)) = a(x,y,L(z,u,w)). a(x,y,z) * a(z,u,a(w,y,x)) = a(x,y,L(z,u,w)). x * a(y,z,a(u,w,x)) = L(x,w,a(u,z,y)). a(x,y,a(z,u,w)) * v5 = a(w,u,a(z,y,x)) * v5. (x * y) * a(z,u,a(w,x,y)) = x * L(y,x,a(z,u,w)). a(x \ y,z,a(u,w,x)) = a(x * y,z,a(u,w,x)). x * a(y,z,a(u,w,v5)) = x * a(v5,z,a(u,w,y)). a(x,y,a(z,u,w)) * a(u,a(w,y,x),z) = a(u,z,a(x,y,w)). a(x,y,a(z,u,a(w,v5,v6))) = a(v6,v5,a(z,u,a(x,y,w))). a(x,y,a(z,u,w)) * a(z,u,a(w,x,y)) = a(x,a(z,u,w),y). L(x,y,L(z,z,y)) = (R(z,y,x) \ z) * x. a(a(x,y,z),a(y,y,u) \ w,y) = a(a(x,y,z),w * L(y,y,u),y). a(x,y,z \ (((u \ w) \ v5) * (w * u))) = a(x,y,z \ (w * (L(w,u,u) \ v5))). L(L(x,a(x,y,a(z,u,w)),v5),y,w) \ x = L(L(x,y,w) \ x,a(z,u,x),v5). x * a(y,z,L(u,x * L(x,w,v5),L(x,w,v5))) = L(a(y,z,u) * x,x,a(v5,w,x)). a(x,y,a(z \ u,u,w)) = a(x,y,a(z * u,u,w)). a(x,y,a(z,u,w)) * L(z,v5,w) = L(L(z,u,a(x,y,w)),v5,w). a(x,y,z \ (u * ((w * u) \ z))) \ z = (L(w,y,x) * u) * ((w * u) \ z). a(x,x,a(y,z,u)) * (w * L(y,y,a(x,x,a(w,z,u)))) = w * L(y,z,a(x,x,u)). a(x,y,z \ ((u \ (a(w,w,u) \ v5)) \ v6)) = a(x,y,z \ ((R(u,w,w) \ v5) \ v6)). a(x,y,a(z,u,u) * (L(L(a(z,u,u),w,v5),v6,v7) * (R(z,u,u) \ v8))) = a(x,y,(z \ v8) * L(L(a(z,u,u),w,v5),v6,v7)). a(x,y,z) * (a(u,w,L(x,x,a(z,y,v5))) \ v5) = v5 * (a(u,w,x) \ a(x,y,z)). a(x,y,a(z,u \ w,u)) = a(x,y,a(z,u * w,u)). a(x,L(y,z,z),a(u,w,z)) = a(a(x,y,z),w,u). L(x,y,a(y,z,a(z,u,w))) = x. L(x,y,a(y,z,a(u,w,z))) = x. (x \ 1) * (a(x,y,a(y,z,u)) * w) = (x \ a(y,y,a(u,z,x))) * w. a(x,y,a(z,u,y)) * (w * x) = w * L(x,y,a(z,u,y)). (a(x,y,z) \ u) * L(z,z,a(x,y,u)) = u * L(z,y,x). L(x,x,a(y,z,x \ u)) = L(x,x,a(y,z,u)). a(x,y,a(z,x * (u * a(y,y,z)),y)) = a(x,x * u,a(y,y,z)). a(x,y,z * L(y,y,x)) = a(x,y,z * y). (a(x * a(y,z,u),w,v5) * x) * a(y,z,L(u,x,a(v5,w,x))) = R(x * a(y,z,u),w,v5). a(x,y,a(z,u,L(w,v5,v6))) = a(w,u,a(z,y,L(x,v5,v6))). a(x,y,a(z,u,L(w,v5,v6))) = a(w,u,a(x,y,L(z,v5,v6))). a(x,y,a(L(z,u,w),v5,v6)) = a(x,y,a(z,v5,L(v6,u,w))). L(x,y,a(z,u,a(w,x,v5))) * a(w,y,a(v5,u,z)) = a(w,y,a(v5,u,L(z,x,x))) * x. a(L(x,y,z),L(z,y,x),y) = ((x * (z * y)) / y) \ (x * z). (1 / (a(x,x,y) * ((z / u) * (a(x,x,y) \ u)))) \ a(x,x,y) = L(a(x,x,y),u,u \ z) * z. a(a(x,x,y),L(y,x,x) * z,L(u,z,L(y,x,x))) = (y * (z * u)) \ ((y * z) * L(u,z,L(y,x,x))). a(x,x,y) * (a(z,z,y) * u) = y * (L(L(y,x,x),z,z) \ u). (x * y) / ((x * (y * z)) / z) = a(x,L(y,y,x),z). a(x,y,a(z,z,u) * ((z \ (u \ (z \ u))) \ (w * (v5 \ (z \ (u \ (z \ u))))))) = a(x,y,(v5 * T(v5 \ w,z \ (u \ (z \ u)))) * (v5 * a(u,z,z))). a(a(x,y,y) * ((z \ y) * L(y,y,x)),L(y,y,x),a(u,w,v5)) = a(z,L(y,y,x),a(u,w,v5)). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,y * ((1 / L(y,y \ 1,z)) \ (y \ z))). a(x * y,z,u) * a(x * y,z,a(u,y,x)) = a((y \ 1) \ x,z,u). a(((x \ y) \ 1) \ x,z,(x \ y) \ u) = a(x * (x \ y),z,y \ (x * u)). L(a(x,y,z),u,(w \ u) * u) = a(x,y,L(z,u,w)). a(x,y,L(L(z,u,w),x,L(w * u,u,w))) = (w * (u * x)) \ (w * (u * R(x,y,z))). a(x * y,z,L(a(u,w,v5),x,x)) = a((x \ 1) \ y,z,a(v5,w,u)). a(x * y,z,(x * x) \ (u * x)) = a((x \ 1) \ y,z,x \ u). a(x,y,a(z,u,w)) = a(z,y,a(x,u,w)). a(x,y * z,a(u,w,v5)) = a(v5,w,a(u,z * y,x)). L(x * a(y,x,a(z,u,w)),z,a(w,u,y)) = L(x,a(w,u,y),z). a(x,y,a(z,u,a(w,v5,v6))) * v7 = v7 * a(v6,v5,a(w,u,a(x,y,z))). a(x,y,a(z,u,w)) * z = L(z,y,a(w,u,x)). a(x,y,z \ (((u \ w) * a(v5,v5,u)) \ v6)) = a(x,y,z \ ((R(u,v5,v5) \ w) \ v6)). a(x,y,a(z,u,u) * (L(L(a(z,u,u),w,v5),v6,v7) * (R(z,u,u) \ v8))) = a(x,y,(z \ v8) * L(a(z,u,L(u,w,v5)),v6,v7)). a(x,y * z,a(u,w,v5)) = a(v5,z * y,a(x,w,u)). a(x,y,a(z,u,w)) = a(x,u,a(z,y,w)). a(x,y,a(z,u,w)) = a(x,u,a(w,y,z)). a(x,y,a(z,u,w)) * a(z,y,a(w,u,x)) = 1. a(x,y,a(z,u,w)) * a(x,u,z) = a(x,u,L(z,y,w)). a((x * y) \ z,u,a(x,w,v5)) = a(x,w,a(y \ (x \ z),u,v5)). a(x * y,z,a(u,w,v5)) = a(u,z,a(y * x,w,v5)). a(x,y,z) * a(x,u,a(w,y,z)) = a(x,y,L(z,u,w)). L(L(x,y,z),a(x,u,w),v5) = L(L(x,y,z),u,a(v5,x,w)). x * L(y,z,a(u,u,w)) = x * L(y,u,a(u,z,w)). a(x,x,a(y,z,a(u,w,v5))) * a(x,a(y,z,x),L(u,w,v5)) = a(x,x,a(y,z,u)). a(x,y,L(z,x,L(u,w,w))) = a(L(x,x,u),y,z). a(x,y,L(z,x,L(u,u,w))) = a(L(x,x,u),y,z). L(x \ y,x,a(x,z,u)) = a(x,z,u) * (R(x,z,u) \ y). L(x,y,a(z,u,y)) = L(x,u,a(y,y,z)). a(x,y,L(a(z,u,w) \ a(w,v5,v6),w,w)) = a(x,y,(w \ a(w,v5,v6)) \ L(w,u,z)). a(L(x * y,y,x),z,u) = a((y \ 1) \ x,z,u). a(a(x,y,z) * y,u,L(w,z,x)) = a(L(y,x,z),u,w). a((x \ y) \ z,u,L(w,x \ y,x)) = a(y \ (x * z),u,w). a(x,y,L(z,u,w)) \ z = L(z,y,L(x,u,w)). a(x,y,a(z,u,a(w,v5,v6))) = a(w,y,a(x,v5,a(v6,u,z))). L(L(x,y,a(z,u,w)),a(z,u,w),y) = x * a(y,u,a(w,x,z)). a(x * y,z,a(u,w,v5)) = a(y * x,w,a(v5,z,u)). a(x,y,a(z,u,a(w,v5,v6))) = a(x,y,a(v6,u,a(z,v5,w))). a(x,x,a(a(x,y,z) * u,w,v5)) = a(x,x,a(u,w,v5)). a(x,y,z) * a(u,w,a(z,y,a(v5,v6,x))) = a(x,y,L(z,v6,a(u,w,v5))). a(a(x,y,z),u,w) * a(w,v5,a(x,u,a(z,y,v6))) = a(a(x,y,z),u,L(w,v5,v6)). L(x,y,a(z,u,w)) = L(x,u,a(z,y,w)). L(x,a(y,z,u),a(u,w,v5)) = L(x,u,a(v5,w,a(u,z,y))). a(x * y,z,a(u,w,x)) = a(x,w,a(x \ y,z,u)). a(x,L(y,y,x),z) = a(x,y,z). a(x,y,(z * ((u \ z) * w)) \ (u * L(w,u \ z,u \ z))) = a(x,y,a((u \ z) * w,u * z,u)). a(x,y,a(z,u \ ((w / u) * L(u,v5,v6)),u)) = a(x,y,a(z,L(u,v5,v6) * w,u)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(x,y,a((z \ w) * u,z * w,z)). a(x,L(y,z,z),a(u,w,z)) = a(x,y,a(u,w,z)). (x \ 1) * (a(x,y,a(z,u,y)) * w) = (x \ a(y,y,a(z,u,x))) * w. a(x,y,(z * (((u \ 1) * w) * a(u,v5,a(v6,v7,v5)))) * v8) = a(x,y,(z * (w * L(u,v5,a(v6,v7,v5)))) * v8). a((x \ y) * y,L(y,y,z),a(u,w,v5)) = a(x,L(y,y,z),a(u,w,v5)). x * a(y,z,L(u,a(w,v5,x),L(x,v5,w))) = L(a(y,z,u) * x,x,a(w,v5,x)). a(L(x,y,z),L(z,y,x),y) = a(x,z,y). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,y * ((L(y,y \ 1,z) \ 1) \ (y \ z))). L(L(x \ L(x,y,z),u,w),w,u) = a(z,y,x * a(w,x,u)) \ 1. R((x \ 1) \ y,z,u) \ (R((x \ 1) \ y,z,u) / x) = L(x \ 1,x,L(y,z,u)). L(a(x,y,z),x * u,x * u) = L(a(x,y,z),u * x,u). L(x,a(y,z,u),a(y,w,v5)) = L(x,y,a(u,z,a(y,w,v5))). L(x,y,L(z,z,y)) = L(x,y,z). a(a(x,y,z),a(y,y,u) \ w,y) = a(a(z,y,x),w,y). a(x,y,z \ (((u \ w) \ v5) * (w * u))) = a(x,y,z \ (a(u,u,w) * v5)). L(L(x,y,a(z,x,a(u,w,v5))),y,v5) \ x = L(L(x,y,v5) \ x,a(u,w,x),z). a(x,L(y,y,x),z * L(y,y,x)) = a(x,y,z \ L(y,y,x)). a(x,y,L(z * L(z,u,w),w,u) * (w \ v5)) = a(x,y,L(L(w,u,z) \ v5,u,a(w,w,z))). L(x,L(y,z,z),z) \ x = x \ (L(1 / x,y,z) \ 1). a(x,y,y * (z \ y)) \ a(u,z \ L(z,y,x),w) = a(x,y,z * a(u,z,w)) \ 1. L((x \ 1) \ y,z,u) \ (L((x \ 1) \ y,z,u) / x) = L(x \ 1,x,L(y,z,u)). L(a(x,y,z),u * x,u * x) = L(a(x,y,z),u * x,u). a(x,y,L(z,x * u,x * u)) = L(a(x,y,z),u * x,u). a(x,y,z) * L(u,x,a(L(z,w,v5),y,a(x,y,a(z,w,v5)))) = a(x,y,a(z,w,v5)) * (a(x,y,L(z,w,v5)) * u). a(x,y,(z * u) \ ((R(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(w * u,u,z)). a(x,x,a(y,z,u)) * (w * y) = w * L(y,z,a(x,x,u)). L(x,x,a(y,z,x * u)) = L(x,x,a(y,z,u)). a(((x \ y) \ 1) \ x,z,(x \ y) \ u) = a(y,z,y \ (x * u)). a((x \ 1) \ y,z,x \ u) = a(x * y,z,u * x). a(x,y,a(z,a(u,y,L(x,w,v5)) * v6,L(u,w,v5))) = a(a(u,y,L(x,w,v5)),v6,z). a(x,y,a(z,u,L(w,v5,a(v6,v7,a(x,v8,v9))))) = a(z,u,a(w,y,x)). a(x,y,a(z,(u * a(w,v5,u)) \ v6,u)) = a(x,y,a(z,L(u,v5,w) * v6,u)). a(x,y,(z * ((u \ 1) * (a(u,w,a(v5,v6,w)) * v7))) * v8) = a(x,y,(z * (v7 * L(u,w,a(v5,v6,w)))) * v8). a(x,L(y,z,x),L(z,z,y)) = a(x,y,z). L(x,y,a(z,u,a(w,x,v5))) * a(w,y,a(v5,u,z)) = (1 / x) \ a(w,y,a(v5,u,z)). L(x,y,a(z,u,w)) = L(x,u,a(w,y,z)). a(x,y,z \ ((R(u,w,w) \ v5) \ v6)) = a(x,y,z \ ((L(u,w,w) \ v5) \ v6)). a(x,y,a(z,u,u) * (L(L(a(z,u,u),w,v5),v6,v7) * (R(z,u,u) \ v8))) = a(x,y,(z \ v8) * a(z,u,L(L(u,w,v5),v6,v7))). a(x,T(y,z) * (u * (K(z,y) / y)),a(w,v5,v6)) = a(w,R(u,y \ 1,y),a(v6,v5,x)). a(x * (y \ x),z,a(u,x,w)) = a(y,x,a(w,z,u)). a(x,y,a(z,u,w)) * a(w,y,a(z,x,u)) = a(x,a(w,y,z),u). a((x * y) \ z,u,a(y,w,v5)) = a(y,w,a(x \ (y \ z),u,v5)). a(x,y,a(z,u,w) \ v5) * a(x,v5,a(a(z,u,w),y,a(z,u,w) \ v5)) = a(x,y,(a(z,u,w) / v5) \ 1). a(x,y,(z * (L(u,w,a(w,v5,v6)) * v7)) * v8) = a(x,y,v8 * (z * (v7 * L(u,v5,a(w,w,v6))))). a(x,x,a(y,z,a(u,w,v5))) * a(x,x,a(y,z,L(u,w,v5))) = a(x,x,a(y,z,u)). a(x,y,L(z,x,L(u,w,w))) = a(x,y,L(z,x,u)). a(x,y,L(z,x,L(u,u,w))) = a(x,y,L(z,x,u)). a(x,L(y \ z,y,a(y,u,w)),v5) = a(x,a(y,u,w) * (L(y,u,w) \ z),v5). a(x,y,(z \ a(z,u,w)) \ L(z,v5,v6)) = a(x,y,a(v6,v5,z) \ a(z,u,w)). L(x,y,(z \ 1) \ u) \ L(x,x,a(y,y,z \ u)) = a(L(u * z,z,u),y,x). a(a(x,y,z) * y,u,L(w,z,x)) = a(y,u,L(w,x,z)). a(x,y,a((x \ z) \ u,w,v5)) = a(x,y,a(z \ (x * u),w,v5)). a(x,y,a(z,u,w)) * L(z,u,w) = L(z,u,L(w,y,x)). x * ((y * z) * a(u,w,a(x,y,z))) = (x * y) * L(z,y,L(x,w,u)). a(x,y,a(z,u,a(a(z,u,w) * y,v5,w))) = a(y,y,a(x,v5,a(w,u,z))). a(x,y,a(z,u,w)) \ L(L(u,x,a(w,y,z)),a(w,y,z),x) = u. a(x,y,z) * a(u,w,a(z,y,a(x,v5,v6))) = a(x,y,L(z,w,a(v6,v5,u))). a(x,y,a(z,u,w)) * a(z,v5,a(x,u,a(w,y,v6))) = a(a(x,y,w),u,L(z,v5,v6)). L(L(x,y,a(z,u,w)),v5,v6) = L(L(x,v5,v6),u,a(w,y,z)). L(x * a(y,x,a(z,u,w)),u,a(w,z,y)) = L(x,a(w,u,y),z). L(L(x,y,a(z,u,w)),a(z,y,w),u) = x * a(z,y,a(u,x,w)). L(x,y,a(z,u,a(w,v5,v6))) = L(x,v5,a(z,y,a(w,u,v6))). (a(x,y,z) \ a(z,u,w)) * L(v5,z,a(w,u,a(z,y,x))) = a(z,u,w) * (a(x,y,z) \ v5). a(x,y,a(x \ z,u,w)) = a(x,y,a(x * z,u,w)). a(a(x,y,z),u * a(y,y,w),y) = a(a(z,y,x),u,y). L(L(x,y,a(z,x,a(u,w,v5))),y,v5) \ x = a(v5,y,L(x,a(u,w,x),z)). a(x,y,z) \ a(u,z \ L(z,y,x),w) = a(x,y,z * a(u,z,w)) \ 1. L(x \ 1,(x \ 1) \ 1,L(y,z,u) / x) = L(x \ 1,x,L(y / x,z,u)). L(a(x,y,z),y * x,y) = x \ R(x,y,z). a(x,y,L(z,x * u,x * u)) = a(x,y,L(z,u * x,u)). L(x,L(y,z,z),z) \ x = a(z,y,1 \ x). a(x,y,L(L(z,u,w) \ v5,u,a(z,z,w))) = a(x,y,a(z,u,L(w,z,u)) * (z \ v5)). a(x,y,z) * L(u,x,a(z,y,a(x,y,L(a(z,w,v5),w,v5)))) = a(x,y,a(z,w,v5)) * (a(x,y,L(z,w,v5)) * u). x * a(y,z,L(u,x,a(w,v5,x))) = L(a(y,z,u) * x,x,a(w,v5,x)). (x * y) * a(z,z,a(y,u,w)) = x * L(y,u,a(z,z,w)). (R(a(x,y,z * u),z,z) / z) * L(z,z,a(x,y,u)) = a(x,y,z * u). a(x,y,a(z,a(u,y,L(x,w,v5)) * v6,L(u,w,v5))) = a(u,y,a(z,v6,L(x,w,v5))). L(x,y,a(z,u,w)) * (a(w,y,z) * u) = a(w,y,z) * (x * u). a(T(x,y),T(z,u) * (w * (K(u,z) / z)),a(v5,v6,v7)) = a(v5,R(w,z \ 1,z),a(v7,v6,x)). a(x,y,a(z,u,w)) * a(u,y,a(z,x,w)) = a(x,a(w,y,z),u). a(x,y,a(z,L(u,w,v5),v6)) * a(z,x,a(u,y,L(v6,w,v5))) = a(x,a(v6,y,z),L(u,w,v5)). a(x,y,a(z,u,w) * v5) * a(x,v5,a(a(z,u,w),y,a(z,u,w) \ v5)) = a(x,y,(a(z,u,w) / v5) \ 1). a(x,y,a(z,L(u,w,v5) \ v6,u)) = a(x,y,a(z,L(u,w,v5) * v6,u)). a(x,y,(z * ((u \ a(w,w,a(v5,v6,u))) * v7)) * v8) = a(x,y,(z * (v7 * L(u,w,a(v5,v6,w)))) * v8). a(x,y,L(z,x,L(u * w,u * w,u))) = a(x,y,L(z,x,u \ w)). a(x,y,a(z,L(x \ u,x,a(x,y,w)),w)) = a(z,L(x,y,w) \ u,a(x,y,w)). a(x,y,(z \ a(z,u,w)) \ L(z,v5,v6)) = a(x,y,a(v6,v5,z) * a(z,u,w)). L(L(x,y,a(z,u,w)),a(z,u,w),y) * a(y,u,a(w,x,z)) = x. x \ L(L(x,y,a(z,u,w)),a(w,y,z),u) = a(w,y,a(u,x,z)). L(x * a(a(y,y,z),x,a(u,w,v5)),w,a(v5,y,a(z,u,y))) = L(x,a(v5,w,a(y,y,z)),u). L(L(a(x,y,z),u,a(u,w,v5)),a(u,u,v5),w) = a(x,y,z) * a(v5,a(x,y,z),a(u,u,w)). L((a(x,y,a(z,u,w)) * v5) \ v6,u,a(x,v5,a(z,y,w))) = v5 \ (a(x,y,a(z,u,w)) \ v6). R(x,x,a(y,z,a(u,w,v5))) * a(u,z,y) = x * a(u,z,L(y,x,a(v5,w,x))). a(x,y,a(z,u,w)) * a(z,v5,a(x,u,a(w,y,v6))) = a(x,y,a(L(z,v5,v6),u,w)). a(x * a(y,x,z),u,L(w,y,z)) = a(x,u,L(w,z,y)). L(L(x,y,a(z,u,w)),y,w) = L(x,y,L(w,u,z)). (x * y) * L(z,y,L(x,u,w)) = x * (y * L(z,y,a(w,u,x))). a(x,x,a(y,z * a(x,x,u),w)) = a(a(y,x,w),z,x). L(L(x,y,a(z,x,a(u,w,v5))),y,v5) \ x = a(v5,y,L(x,x,a(u,w,z))). a(x,y,z) \ a(u,a(x,y,z),w) = a(x,y,z * a(u,z,w)) \ 1. L(x \ 1,(x \ 1) \ 1,L(y,z,u) / x) = L(x \ 1,x,L(x \ y,z,u)). a(x,y,L(z,y * x,y)) = x \ R(x,y,z). a(x,y,L(z \ (x * y),y * x,y)) = L(z * (x * y),y,x) \ (z * (x * y)). a(x,y,a(z,u,w)) * (a(x,y,L(z,u,w)) * v5) = a(x,y,z) * L(v5,x,a(z,y,a(x,y,a(z,u,w)))). (x * (y * z)) \ (x * (y * L(z,u,a(w,w,v5)))) = L(a(w,w,a(z,u,v5)),y * z,x). (a(x,y,L(z * u,z,z)) / z) * L(z,z,a(x,y,u)) = a(x,y,z * u). a(x,y,(z * u) \ ((L(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(w * u,u,z)). a(x * (y \ x),z,a(u,L(x,x,w),v5)) = a(y,L(x,x,w),a(v5,z,u)). a(x,L(y,z,x),z) = a(x,y,z). L(x,y,L(z * u,u,z)) = L(x,y,(u \ 1) \ z). a(((x \ y) \ 1) \ x,z,(x \ y) \ u) = a(y,z,y * (x * u)). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,(L(y,y \ 1,z) \ (y \ z)) * y). a(x,y,a(z,L(u,u,z),w * L(u,u,z))) = a(x,y,a(w \ L(u,u,z),u,z)). a(T(x,y),T(z,u) * (w * (K(u,z) / z)),a(v5,v6,v7)) = a(v5,L(w,z \ 1,z),a(v7,v6,x)). (x * a(y,z,a(u,w,x))) * a(w,z,a(u,y,x)) = x * a(y,a(x,z,u),w). a(x,L(y,z,u),a(w,v5,v6)) * a(w,v6,a(y,v5,L(x,z,u))) = a(v6,a(x,v5,w),L(y,z,u)). a(x,y,a(z,u,L(w,v5,v6))) * a(y,a(w,u,x),L(z,v5,v6)) = a(y,u,a(x,L(z,v5,v6),w)). a(x,y,a(z,u,L(w,v5,v6))) * K(a(y,u,a(x,L(z,v5,v6),w)) \ 1,a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))) = (a(y,a(w,u,x),L(z,v5,v6)) \ a(x,y,a(z,u,L(w,v5,v6)))) * (a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))). a(x,y,a(z,u,w) * v5) * a(x,v5,a(a(z,u,w),y,a(z,u,w) * v5)) = a(x,y,(a(z,u,w) / v5) \ 1). a(x,y,L(z,x,u \ w)) = a(x,y,L(z,x,u * w)). a(x,y,z * (a(z,u,w) \ L(z,v5,v6))) = a(x,y,a(v6,v5,z) * a(z,u,w)). L(L(L(x,y,a(z,u,w)),a(z,u,w),y) * (a(y,u,a(w,x,z)) \ 1),v5,a(y,u,a(w,x,z))) = L(L(x,y,a(z,u,w)),a(z,u,w),y) * (R(a(y,u,a(w,x,z)),v5,x) \ 1). L(a(x,y,z) * u,u,a(w,v5,u)) = R(u,u,a(z,y,a(x,v5,w))) * a(x,y,z). a(x,y,a(z,u,w)) * a(z,v5,a(x,u,a(w,y,v6))) = a(x,y,a(z,u,L(w,v5,v6))). L(x \ L(L(x,y,a(z,u,w)),a(w,y,z),u),v5,v6) = a(w,y,a(u,L(x,v5,v6),z)). L(x * a(y,y,a(a(z,u,w),x,v5)),u,a(w,y,a(v5,z,y))) = L(x,a(w,u,a(y,y,v5)),z). L(a(x,y,L(z,u,a(u,w,v5))),a(u,u,v5),w) = a(x,y,z) * a(v5,a(x,y,z),a(u,u,w)). L((a(x,y,a(z,u,w)) * v5) \ v6,u,a(x,v5,a(z,y,w))) = v5 \ (v6 * a(x,y,a(z,u,w))). L(x,L(y,z,z),z) \ x = a(z,y,x). a(x,y,L(L(z,u,w) \ v5,u,a(z,z,w))) = a(x,y,a(z,u,w) * (z \ v5)). a(x,y,(L(z,z,u) \ w) * ((z \ u) \ (u * w))) = a(x,y,a(w \ L(z,z,u),z,u)). a(x,y,a(z \ L(u,u,w),u,w)) = a(x,y,a(w,u,z * L(u,u,w))). L(L(x,y,z),u,a(z,y,w)) = L(x,y,L(z,u,w)). L(x \ 1,x,L(y,z,z)) = L(x \ 1,x,y). a(a(x,x,y),L(y,x,x) * z,L(u,z,L(y,x,x))) = (y * (z * u)) \ (y * (z * L(u,z,a(x,x,y)))). a(x,x,a(y,z * a(x,x,u),w)) = a(x,x,a(w,z,y)). a(x,L(y,z,u) \ w,a(y,v5,v6)) = a(v6,v5,a(x,L(y,z,u) * w,y)). a(x,y,(z * L(u,z,w)) \ (L(u,w,z) * z)) = a(x,y,a(w,u,z)). a(x,y,z) * (u * a(w,a(x,y,z),v5)) = (a(x,y,z * a(v5,z,w)) \ 1) \ u. L(x \ 1,(x \ 1) \ 1,x \ L(y,z,u)) = L(x \ 1,x,L(x \ y,z,u)). L(x * (y * z),z,y) \ (x * (y * z)) = y \ R(y,z,x \ (y * z)). a(x,y,a(z,u,w)) * (a(x,y,L(z,u,w)) * v5) = a(x,y,z) * L(v5,x,1). (a(x,y,z \ u) / z) * L(z,z,a(x,y,u)) = a(x,y,z * u). L(L(x \ R(x,y,z),x,(u \ 1) \ w),u,w) = (w * (u * x)) \ ((w * u) * R(L(x,u,w),y,z)). (x * (y * z)) \ (x * (y * R(z,u,w))) = a(z,u,L(L(w,y,x),z,(y \ 1) \ x)). a((x \ y) * x,z,u * (x \ y)) = a(y,z,y * (x * u)). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,(y \ (L(y,y \ 1,z) \ z)) * y). L(x,y,a(z,u,w)) * a(u,y,a(z,w,x)) = x * a(w,a(x,y,z),u). T(a(x,a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) * a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) = L(a(v5,v7,a(z,v6,L(y,u,w))),a(y,L(z,u,w),a(v5,v6,v7)),x) \ a(v7,a(y,v6,v5),L(z,u,w)). a(x,y,a(z,u,L(w,v5,v6))) * K(a(y,u,a(x,L(z,v5,v6),w)) \ 1,a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))) = (a(x,y,a(z,u,L(w,v5,v6))) * a(L(z,v5,v6),a(x,u,w),y)) * (a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))). a(T(x,y),T(z,u) * (w * (K(u,z) / z)),a(v5,v6,v7)) = a(v5,L(w,z,z),a(v7,v6,x)). a(x,y,a(z,u,w) * v5) * a(x,v5,a(z,u,a(a(z,u,w) * v5,y,w))) = a(x,y,(a(z,u,w) / v5) \ 1). a(x,y,z * (L(z,u,w) * a(z,v5,v6))) = a(x,y,a(w,u,z) * a(z,v5,v6)). L(L(L(x,y,a(z,u,w)),a(z,u,w),y) * (a(y,u,a(w,x,z)) \ 1),v5,a(y,u,a(w,x,z))) = L(L(x,y,a(z,u,w)),a(z,u,w),y) * (a(y,u,L(a(w,x,z),v5,x)) \ 1). L(a(x,y,z) * u,u,a(w,v5,u)) = L(u,u,a(z,y,a(x,v5,w))) * a(x,y,z). L(a(x,y,a(z,u,w)),v5,v6) = a(x,y,a(z,L(u,v5,v6),w)). L(x * a(y,y,a(z,u,a(w,x,v5))),u,a(v5,y,a(w,z,y))) = L(x,a(v5,u,a(y,y,w)),z). a(x,y,L(L(z,u,a(u,w,v5)),a(u,u,v5),w)) = a(x,y,z) * a(v5,a(x,y,z),a(u,u,w)). L(a(x,x,a(y,z,u)),z * y,u) = a(a(x,x,u),L(u,x,x) * z,L(y,z,L(u,x,x))). a(x,L(y,x,x),z) = a(x,y,z). a(x,y,((z \ u) \ (u * w)) \ (L(z,z,u) \ w)) = a(x,y,a(w \ L(z,z,u),z,u)). a(x,y,a(z,L(u,x,x),w)) = a(x,u,a(z,y,w)). a(x,(x \ 1) \ y,z) = a(x,x * y,z). a(x,y,z) * a(u,a(x,y,z),w) = a(x,y,z * a(w,z,u)). L(x \ 1,x,x \ L(y,z,u)) = L(x \ 1,x,L(x \ y,z,u)). L(x * (y * z),z,y) \ (x * (y * z)) = a(y,z,x \ (y * z)). a(x,y,a(z,u,w)) * (a(x,y,L(z,u,w)) * v5) = a(x,y,z) * v5. a(a(x,y,z),u,u) \ a(x,y,u \ z) = a(x,y,u * z). L(L(x \ R(x,y,z),x,u \ w),u,w) = (w * (u * x)) \ ((w * u) * R(L(x,u,w),y,z)). (x * (y * z)) \ (x * (y * R(z,u,w))) = a(z,u,L(L(w,y,x),z,(y \ 1) * x)). a(x,y,z * (u \ x)) = a(x,y,x * (u * z)). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,(y \ T(z * (1 / y),y)) * y). T(a(x,a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) * a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) = a(v5,v7,a(z,v6,L(L(y,u,w),a(y,L(z,u,w),a(v5,v6,v7)),x))) \ a(v7,a(y,v6,v5),L(z,u,w)). a(x,y,a(z,u,L(w,v5,v6))) * K(a(y,u,a(x,L(z,v5,v6),w)) \ 1,a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))) = (a(x,y,a(z,u,L(w,v5,v6))) * a(z,a(x,u,w),L(y,v5,v6))) * (a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))). a(T(x,y),T(x,z) * (u * (K(z,x) / x)),a(w,v5,v6)) = a(w,u,a(v6,v5,x)). a(x,y,a(z,u,w) * v5) * a(v5,v5,a(x,y,a(w,u,z))) = a(x,y,(a(z,u,w) / v5) \ 1). a(x,y,L(z,u,w) * R(z,v5,v6)) = a(x,y,a(w,u,z) * a(z,v5,v6)). L(L(L(x,y,a(z,u,w)),a(z,u,w),y) * (a(y,u,a(w,x,z)) \ 1),v5,a(y,u,a(w,x,z))) = L(L(x,y,a(z,u,w)),a(z,u,w),y) * (a(y,u,a(w,x,L(z,v5,x))) \ 1). a(x,y,a(z,L(u,w,v5),v6)) = a(x,y,a(z,u,L(v6,w,v5))). a(x,y,L(a(z,u,w),v5,v6)) = a(x,y,a(z,L(u,v5,v6),w)). a(a(x,x,y),L(y,x,x) * z,L(u,z,L(y,x,x))) = a(x,x,a(u,z,y)). a(x,(x \ 1) \ y,a(z,L(u,x,x),w)) = a(x,u,a(z,x * y,w)). a(x,y,((z \ u) \ (u * w)) \ (L(z,z,u) \ w)) = a(x,y,a(u,z,w * L(z,z,u))). a(x,y,L(L(z,u,a(u,w,v5)),a(u,u,v5),w)) = a(x,y,z * a(a(u,u,w),z,v5)). a(x,x,y) * (L(y,x,x) / z) = y * L(z \ 1,z,L(z \ y,x,x)). L(x * (y * z),z,y) \ (x * (y * z)) = a(y,z,(y \ x) * z). a(x,y,a(z,z,u)) \ a(x,y,z \ u) = a(x,y,z * u). L(L(x \ R(x,y,z),x,u \ w),u,w) = (w * (u * x)) \ (w * (u * R(x,y,z))). (x * (y * z)) \ (x * (y * R(z,u,w))) = a(z,u,L(L(w,y,x),z,x * y)). a(a(x,x,y),z,(u * w) * a(x,x,x * y)) = a(a(x,x,y),z,w * (u \ a(x,x,y))). a(x,y,x * ((z * T(u,w)) * v5)) = a(x,y,v5 * ((z * u) \ x)). a(x,y,(z * u) * x) = a(x,y,u * (z \ x)). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,(y \ (z * (1 / y))) * y). T(a(x,a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) * a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) = a(v5,v7,a(z,v6,L(L(y,u,w),L(z,u,w),a(x,y,a(v5,v6,v7))))) \ a(v7,a(y,v6,v5),L(z,u,w)). a(x,y,a(z,u,L(w,v5,v6))) * K(a(y,u,a(x,L(z,v5,v6),w)) \ 1,a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))) = (a(x,y,a(z,u,L(w,v5,v6))) * a(z,a(x,u,w),L(y,v5,v6))) * a(y,a(w,u,x),L(z,v5,v6)). a(T(x,y),T(x,z) * (u * (K(z,x) / x)),a(w * (v5 / v6),v7,v8)) = a(w * (v6 \ v5),u,a(v8,v7,x)). a(x,y,a(z,u,w) * v5) * a(v5,v5,a(x,y,a(w,u,z))) = a(x,y,a(z,u,w) / v5). a(x,y,L(z,u,w) * L(z,v5,v6)) = a(x,y,a(w,u,z) * a(z,v5,v6)). L(L(L(x,y,a(z,u,w)),a(z,u,w),y) * (a(y,u,a(w,x,z)) \ 1),v5,a(y,u,a(w,x,z))) = L(L(x,y,a(z,u,w)),a(z,u,w),y) * a(y,u,a(w,x,L(z,v5,x))). a(x * (y \ x),z,a(u,x,L(w,x,v5))) = a(y,L(x,x,v5),a(w,z,u)). a(x,y,a(z,x \ u,L(w,x,a(x,y,w)))) = a(z,L(x,y,w) \ u,a(x,y,w)). a(x,y,a(z,u,L(w,v5,u))) = a(x,y,a(z,u,w)). a(x,x,a(L(y,z,L(u,x,x)),L(u,x,x) * z,u)) = a(x,x,a(y,z,u)). a(x,y,L(L(z,u,a(u,w,v5)),a(u,u,v5),w)) = a(x,y,z * a(u,u,a(v5,z,w))). a(x,x,y) * (L(y,x,x) / z) = y * L(z \ 1,z,z \ y). a(x,y,(x \ z) * y) = a(x,y,z * (x * y)). a(x,y,z \ u) * a(x,y,a(z,z,u)) = a(x,y,z * u). (x * (y * z)) \ (x * (y * R(z,u,w))) = L(L(a(z,u,w),z,y \ x),y,x). a(a(x,x,y),z,(u * w) * a(x,x,x * y)) = a(a(x,x,y),z,w * (u * a(y,x,x))). a(x,y,x * ((z * T(x,u)) * w)) = a(x,y,w * (x \ (z \ x))). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,z * (1 / y)). a(x,y,((z \ u) \ (u * w)) \ (L(z,z,u) \ w)) = a(x,y,a(u,z,w * z)). T(a(x,a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) * a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) = a(z,v6,a(L(y,u,w),v7,v5)) \ a(v7,a(y,v6,v5),L(z,u,w)). a(x,y,a(z,u,L(w,v5,v6))) * K(a(y,u,a(x,L(z,v5,v6),w)) \ 1,a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))) = a(z,a(x,u,w),L(y,v5,v6)) * (a(x,y,a(z,u,L(w,v5,v6))) * a(y,a(w,u,x),L(z,v5,v6))). a(T(x,y),T(x,z) * (u * (K(z,x) / x)),a(w * (K(v5,v6) / v7),v8,v9)) = a(w * (v7 \ 1),u,a(v9,v8,x)). a(x,y,a(z,u,w) * v5) * a(v5,v5,a(x,y,a(w,u,z))) = a(x,y,v5 \ a(z,u,w)). a(x,y,L(z,u,w) \ L(z,v5,v6)) = a(x,y,a(v6,v5,z) * a(z,u,w)). L(L(L(x,y,a(z,u,w)),a(z,u,w),y) * a(y,u,a(w,x,z)),v5,a(y,u,a(w,x,z))) = L(L(x,y,a(z,u,w)),a(z,u,w),y) * a(y,u,a(w,x,L(z,v5,x))). a(x,L(y,y,z),a(u,w,v5)) = a(x,y,a(L(u,y,z),w,v5)). a(x,L(y,z,u) \ w,a(y,z,u)) = a(y,z,a(x,y \ w,u)). a(x,y,a(z,u,a(w,v5,u))) = 1. a(x,x,a(y,L(z,x,x) * u,L(z,u,L(z,x,x)))) = a(x,x,a(y,u,z)). a(x,y,a(z,(x \ 1) \ u,w)) = a(x,y,a(z,x * u,w)). a(x,x,y) * (L(y,x,x) / z) = y / z. a(x,y,(z * u) \ ((z \ (u \ w)) \ w)) = a(x,y,a(u,z,w * (u * z))). a(x,y,((z * u) \ w) \ (z \ (u \ w))) = a(x,y,a(u,z,w * (u * z))). (x * (y * z)) \ (x * (y * R(z,u,w))) = L(a(z,u,L(w,z,y \ x)),y,x). a(a(x,x,y),z,(u * w) * a(x,x,x * y)) = a(x,x,a(w * (u * a(y,x,x)),z,y)). a(x,y,(z * (u * x)) * x) = a(x,y,z * (x \ (u \ x))). R(x,y \ z,L(y \ z,(y \ z) / (1 / y),(y \ z) / (1 / y))) = R(x,y \ z,z * y). T(a(x,a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) * a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) = a(z,v6,a(y,v7,L(v5,u,w))) \ a(v7,a(y,v6,v5),L(z,u,w)). a(x,y,a(z,u,L(w,v5,v6))) * K(a(y,u,a(x,L(z,v5,v6),w)) \ 1,a(y,u,a(x,L(z,v5,v6),w)) * a(x,y,a(z,u,L(w,v5,v6)))) = a(z,a(x,u,w),L(y,v5,v6)) * a(y,u,a(x,L(z,v5,v6),w)). a(T(x,y),T(x,z) * (u * (K(z,x) / x)),a(w * (K(v5,v6) / v7),v8,v9)) = a(w * v7,u,a(v9,v8,x)). L(L(x,y,a(z,u,w)),a(z,u,w),y) * a(y,u,a(w,x,L(z,v5,x))) = L(x,v5,a(y,u,a(w,x,z))). a(x,L(y,y,z),a(u,w,v5)) = a(x,y,a(u,w,L(v5,y,z))). a(a(x,y,a(z,u,y)),w,v5) = 1. a(x,y,a(z,z,a(u,w,v5))) = 1. a(x,x,a(y,L(z,x,x) * u,L(z,u,z))) = a(x,x,a(y,u,z)). a(x,y,a(z,x \ u,w)) = a(x,y,a(z,x * u,w)). L(x,y,y) \ (L(x,y,y) / z) = x \ (x / z). a(x,L(y,z,u) \ w,a(y,z,u)) = a(y,z,a(x,y * w,u)). a(x,y,a(z,x * u,L(w,v5,x))) = a(z,x \ u,a(x,y,w)). (x * (y * z)) \ (x * (y * R(z,u,w))) = a(z,u,L(L(w,z,y \ x),y,x)). a(a(x,x,y),z,a(x,x,y) * (u * w)) = a(x,x,a(w * (u * a(y,x,x)),z,y)). a(x,y,(z * x) * (u \ x)) = a(x,y,u * (x \ (z \ x))). T(a(x,a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) * a(y,L(z,u,w),a(v5,v6,v7)),a(v5,v7,a(z,v6,L(y,u,w)))) = a(v7,a(y,v6,v5),L(z,u,w)) * a(z,v6,a(y,v7,L(v5,u,w))). a(x,a(y,z,u),L(w,v5,v6)) * a(w,z,a(y,L(x,v5,v6),u)) = a(y,w,a(x,z,L(u,v5,v6))). a(T(x,y),T(x,z) * (u * (K(z,x) / x)),a(u * (K(w,v5) / x),v6,v7)) = a(u,u,a(x,v6,v7)). L(x,y,a(z,u,a(w,x,v5))) = L(L(x,z,a(v5,u,w)),a(v5,u,w),z) * a(z,u,a(w,x,v5)). a(x,y \ (y / (z \ 1)),a(u,w,v5)) = a(x,z,a(u,w,L(v5,z,y))). L(x,y,a(z,u,a(w,v5,u))) = x. a(x,x,a(y,z,a(u,w,v5))) = 1. L(a(x,y,z),u,a(u,w,v5)) = a(x,y,z) * 1. L(x,y,a(z,u,L(y,w,v5))) = 1 * L(x,y,a(z,u,y)). L(x,y,a(z,u,a(u,w,v5))) = x. L(x,y,a(z,z,a(u,w,v5))) = x. L(x,y,a(z,u,a(w,w,v5))) = x. 1 * a(x,x,a(y,z,L(u,w,v5))) = a(x,x,a(y,z,u)). a(x,y,a(z,u,L(w,z,v5))) = a(x,y,a(z,u,w)) * 1. L(x * 1,y,a(z,u,a(w,v5,u))) = L(x,a(z,y,a(u,u,w)),v5). a(x,y,a(z,u,w) * v5) * 1 = a(x,y,v5 \ a(z,u,w)). L(x,y,a(z,u,a(y,w,v5))) = x. (x * y) * a(z,u,a(u,w,v5)) = x * (y * a(z,u,a(u,w,v5))). x \ (y * a(z,u,a(w,w,v5))) = (x \ y) * a(w,w,a(z,u,v5)). (x * a(y,z,a(u,u,w))) * v5 = (x * v5) * a(y,z,a(u,u,w)). a(x,y,a(z,z,u)) * (w * v5) = w * (a(x,y,a(z,z,u)) * v5). (x * y) * a(z,u,a(w,w,v5)) = x * (y * a(z,u,a(w,w,v5))). L(x,a(y,z,u),a(y,w,v5)) = x. (a(x,y,a(z,z,u)) * w) \ v5 = w \ (v5 * a(x,y,a(z,z,u))). (a(x,y,z) \ a(z,u,w)) * v5 = a(z,u,w) * (a(x,y,z) \ v5). (x * a(y,z,u)) * a(y,w,v5) = x * (a(y,z,u) * a(y,w,v5)). a(x,x,a(y,L(z,x,x) * u,z)) = a(x,x,a(y,u,z)). ((x \ 1) * y) \ (((x \ 1) * y) / z) = (x \ y) \ ((x \ y) / z). a(x,y,L(L(z,x,u \ w),u,w)) = a(x,y,L(L(z,u,w),x,w * u)). a(x,y,L(L(z,x,u \ w),u,w)) \ (u \ ((u / x) * R(x,y,z))) = a(z,y,a(w,u * x,x)). a(x,x,a(a(x,x,y) * (z * u),w,y)) = a(x,x,a(u * (z * a(y,x,x)),w,y)). a(a(x,x,y),z,(u * a(x,x,y)) * (w * a(y,x,x))) = a(a(x,x,y),z,w * (a(x,x,y) \ (u \ a(x,x,y)))). T(a(x,L(y,z,u),a(w,v5,v6)) * a(L(x,z,u),v5,a(y,v6,a(v7,a(x,L(y,z,u),a(w,v5,v6)),w))),a(w,v6,a(y,v5,L(x,z,u)))) = a(v6,a(x,v5,w),L(y,z,u)) * a(y,v5,a(x,v6,L(w,z,u))). L(a(x,y,z),u,a(u,w,v5)) = a(x,y,z). L(a(x,y,z) \ (L(z,u,w) \ v5),z,a(x,y,z)) = (a(x,y,z) * L(z,u,w)) \ v5. a(x,x,a(y,z,L(u,w,v5))) = a(u,z,a(y,x,x)). a(x,y,a(z,u,L(w,z,v5))) = a(x,y,a(z,u,w)). L(x,a(y,z,a(u,u,w)),v5) = x. a(x,y,z \ (u \ L(u,w,v5))) = a(x,y,a(v5,w,u) * z). a(x,y,a(z,z,u)) * (w * v5) = w * (v5 * a(u,z,a(z,y,x))). a(x,y,(z * (((u \ 1) * a(w,v5,a(v6,v6,v7))) * v8)) * v9) = a(x,y,(z * (a(w,v5,a(v6,v6,v7)) * (v8 * u))) * v9). (x * (a(y,z,a(u,u,w)) * (v5 * v6))) \ ((x * v5) * (a(y,z,a(u,u,w)) * v6)) = a(x,v5,a(y,z,a(u,u,w)) * v6). a(x,y,(a(z,u,a(w,w,v5)) * v6) * v7) = a(x,y,a(z,u,a(w,w,v5)) * (v7 * v6)). a(x,x,a(y,z,u)) * (w * v5) = w * (a(y,z,a(x,x,u)) * v5). x \ (y * (z * a(u,w,a(v5,v5,v6)))) = (x \ (y * z)) * a(v5,v5,a(u,w,v6)). (a(x,y,a(z,z,u)) * w) \ v5 = (w \ v5) * a(z,z,a(x,y,u)). a(x,a(y,z,u),L(w,v5,v6)) * a(w,z,a(y,x,L(u,v5,v6))) = a(y,w,a(x,z,L(u,v5,v6))). a(T(x,y),T(x,z) * (u * (K(z,x) / x)),a(u * (x \ 1),w,v5)) = a(u,u,a(x,w,v5)). L(x,y,a(z,u,a(w,x,v5))) = x. a(x,y \ ((z \ 1) \ y),a(u,w,v5)) = a(x,z,a(u,w,L(v5,z,y))). a(x,L(y,z,z) \ u,a(y,z,z)) = a(z,z,a(x,u,y)). a(x,y \ z,a(y,u,w)) = a(x,y * z,a(y,u,w)). (x * (y \ 1)) \ ((x * (y \ 1)) / z) = (y \ x) \ ((y \ x) / z). a(x,y,L(L(z,x,u \ w),u,w)) \ a(x,y,L(z,x,u)) = a(z,y,a(w,u * x,x)). a(a(x,x,y),z,u * (a(x,x,y) \ (w \ a(x,x,y)))) = a(x,x,a((w * a(x,x,y)) * (u * a(y,x,x)),z,y)). a(x,x,a(y * (z * a(u,x,x)),w,u)) = a(x,x,a(z * y,w,u)). T(a(x,L(y,z,u),a(w,v5,v6)) * 1,a(w,v6,a(y,v5,L(x,z,u)))) = a(v6,a(x,v5,w),L(y,z,u)) * a(y,v5,a(x,v6,L(w,z,u))). a(T(x,y),T(x,z) * (u * (K(z,x) / x)),a(x * u,w,v5)) = a(u,u,a(x,w,v5)). L(x,y,a(z,x,a(u,w,v5))) = x. L(x,x,a(y,z,a(u,w,v5))) = x. (1 / x) \ a(y,z,a(u,w,v5)) = x * a(y,z,a(u,w,v5)). a(x,y \ (z \ y),a(u,w,v5)) = a(x,z,a(u,w,L(v5,z,y))). a(x,y,z) * (a(u,w,w) * v5) = a(u,w,w) * (a(x,y,z) * v5). ((L(x,y,z) \ u) / x) * L(x,w,v5) = (a(v5,w,x) * L(x,y,z)) \ u. a(x,y,a(z,x * u,y)) = a(y,y,a(z,u,x)). (a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w)))) \ u = a(u * (z \ w),z * w,a(z,y,x)). a(x,y,a(z,u,L(u,w,v5))) = a(x,y,a(z,u,u)). a(x,y,a(z,u,T(z,w) \ (v5 \ v6))) = a(x,y,a(z,u,(v5 * z) \ v6)). (a(x,x,a(y,z,u)) * w) * v5 = w * (a(y,z,a(x,x,u)) * v5). (x \ L(x,y,z)) \ (a(u,w,a(z,y,x) * v5) \ v5) = L((x \ L(x,y,z)) \ v5,w,u). a(x,y,y) * (a(z,u,w) * (R(x,y,y) \ v5)) = a(z,u,w) * (x \ v5). x * (L(x,y,z) \ ((L(1 / x,u,w) \ 1) \ v5)) = (a(w,u,x) * L(x,y,z)) \ v5. a(x,y,a(z,u,a(w,w,v5)) * (v6 * v7)) = a(x,y,v7 * (v6 * a(v5,w,a(w,u,z)))). a(x,y,a(z,u,a(w,w,v5)) * (v6 * v7)) = a(x,y,v6 * (a(z,u,a(w,w,v5)) * v7)). x \ (y * (a(z,u,a(w,w,v5)) * v6)) = (x \ (y * v6)) * a(w,w,a(z,u,v5)). a(x,y,a(z,u,T(z,w) \ (v5 \ v6))) = a(x,y,a(z,u,v5 \ (z \ v6))). (x * (a(y,z,a(u,u,w)) * v5)) * v6 = (x * v5) * (a(y,z,a(u,u,w)) * v6). (a(x,y,a(z,u,w) * v5) \ v5) * a(z,u,w) = L((w \ L(w,u,z)) \ v5,y,x). (x * (a(y,z,a(u,u,w)) * v5)) \ v6 = ((x * v5) \ v6) * a(u,u,a(y,z,w)). ((x * (a(y,z,a(u,u,w)) * (v5 * v6))) \ ((x * v5) * v6)) * a(u,u,a(y,z,w)) = a(x,v5,a(y,z,a(u,u,w)) * v6). (((x * (y * z)) \ ((x * y) * z)) * a(u,u,a(w,v5,v6))) * a(u,u,a(w,v5,v6)) = a(x,y,a(w,v5,a(u,u,v6)) * z). a(x,y,z \ (T((u \ w) \ ((u \ w) / v5),v5) * (w * u))) = a(x,y,z \ (v5 \ (w * u))). a(x,y,L(L(z,u,w),x,w * u)) \ a(x,y,L(z,x,u)) = a(z,y,a(w,u * x,x)). a(a(x,x,y),z,u * (a(x,x,y) \ (w \ a(x,x,y)))) = a(x,x,a(u * (w * a(x,x,y)),z,y)). a(x,a(y,z,u),L(w,v5,v6)) * a(w,z,a(y,x,L(u,v5,v6))) = a(y,L(w,v5,v6),a(u,z,x)). a(T(x,y),T(x,z) * (u * (x \ K(z,x))),a(x * u,w,v5)) = a(u,u,a(x,w,v5)). (a(a(x,y,z) * a(u,w,v5),v6,v7) * a(x,y,z)) * a(u,w,v5) = L((v5 \ L(v5,w,u)) \ a(x,y,z),v6,v7). a(x,y,L(z,z,a(u,w,v5))) = L(z,y,x) \ z. a(x,y,a(z,u,w)) * (v5 \ 1) = v5 \ a(x,y,a(z,u,w)). L(a(x,y,z) * u,u,a(w,v5,u)) = u * a(x,y,z). a(x,y,L(a(z,u,w),v5,v5)) = a(x,y,a(z,u,w)). a(x,y,a(z,u,L(w,v5,v5))) = a(x,y,a(z,u,w)). a(x,y,L(z,z,a(u,w,v5))) = a(x,y,z). (x \ 1) * a(y,z,a(u,w,v5)) = x \ a(u,w,a(v5,z,y)). a(x,y,L(z,u,a(w,v5,u))) = a(x,y,z). a(x,y,a(z,L(u,w,w),v5)) = a(x,y,a(z,u,v5)). a((x \ 1) \ y,z,a(u,w,v5)) = a(x * y,z,a(v5,w,u)). a(x,y,a(z,u,L(w,v5,v5))) = a(z,y,a(x,u,w)). a(x,y,a(z,u,w \ v5)) = a(x,y,a(z,u,v5 * w)). a(x,y,z) * (a(u,w,x) \ v5) = v5 * (a(u,w,x) \ a(x,y,z)). a(x,y,(z * ((u \ a(w,w,a(v5,v6,v7))) * v8)) * v9) = a(x,y,(z * (a(v7,v6,a(w,w,v5)) * (v8 * u))) * v9). a(x,y,L(L(z,u,a(u,w,v5)),v6,v7)) = a(x,y,L(z,v6,v7)). (a(x * a(y,z,u),w,v5) * x) * a(y,z,u) = R(x * a(y,z,u),w,v5). a(x,y,L(z,u,a(w,w,v5))) = a(x,y,z). a(x,x * y,a(z,z,u)) = a(z,z,a(u,y * a(z,z,u),x)). a(x,x,a(y * (z * a(x,x,u)),w,u)) = a(a(x,x,u),w,y * (z \ 1)). a(x,L(y,z,u),a(w,v5,v6)) = a(x,y,a(v6,v5,L(w,z,u))). a(T(x,y),T(x,z) * (u * (x \ 1)),a(x * u,w,v5)) = a(u,u,a(x,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)) = a(x * y,z,a(v5,w,u)). a(x,y,a(z * u,w,v5)) = a(x,y,a(v5,w,z \ u)). a(x,y,a(z,u,T(z,w) \ (v5 \ v6))) = a(x,y,a(z,u,(z \ v6) * v5)). (a(x,y,z) * (a(u,w,x) \ v5)) \ ((a(u,w,x) \ a(x,y,z)) * (v5 * v6)) = L(K(a(u,w,x) \ a(x,y,z),v5) * v6,v5,a(u,w,x) \ a(x,y,z)). a(x,y,(z * ((u \ a(w,w,a(v5,v6,v7))) * v8)) * v9) = a(x,y,(z * (v8 * u)) * (a(v7,v6,a(w,w,v5)) * v9)). a(x,y,z * a(u,u,a(w,z,v5))) = a(x,y,L(z,a(u,u,w),v5)). a(x,y,a(z,u,w) * (z \ v5)) = a(x,y,L(z,u,w) \ v5). a(x,y,((z * (u \ (z \ u))) * w) \ v5) = a(x,y,w \ (v5 * a(u,z,z))). a(x,x * y,a(z,z,u)) = a(z,z,a(x,y,u)). a(x,x,a(y * (z * a(x,x,u)),w,u)) = a(a(x,x,u),w,z * y). a(x,y * (z * y),a(u,w,v5)) = a(x,z,a(v5,w,L(u,y,y))). a(x,((y \ 1) * z) \ u,a(w,v5,L(v6,z * y,z * y))) = a(x,u * (z * y),a(v6,v5,w)). a(x * y,z,a(u,T(x,w) * (y * x),T(x,v5))) = a(y,y,a(x,z,u)). a(x,x * y,a(z,u,L(u,w,v5))) = a(u,u,a(x,a(z,u,L(u,w,v5)) * y,L(z,w,v5))). a(x,x,a(y * (z * a(x,x,u)),w,u)) = a(x,x,a(z * y,w,u)). a(x,y * (z * y),a(u,w,v5)) = a(v5,z,a(x,w,u)). a(x,((y \ 1) * z) \ u,a(w,v5,v6)) = a(w,u * (z * y),a(v6,v5,x)). a(x * y,z,a(u,T(x,w) * (y * x),x)) = a(y,y,a(x,z,u)). a(x,y,z) \ a(x,y,L(z,u * w,v5)) = a(x,y,a(v5,u \ w,z)). a((x \ 1) * (a(y,y,z) \ u),x,a(z,y,y)) * (a(y,y,z) \ u) = T((u / (x \ a(y,y,z))) * (x \ 1),a(y,y,z)). a(x,y,a(z \ u,w,v5)) = a(x,y,a(z * u,w,v5)). a(x,x * y,a(z,u,L(u,w,v5))) = a(z,u,a(x,y,L(u,w,v5))). a(x * (y * a(z,z,u)),w,a(u,z,z)) = a(z,z,a(y * x,w,u)). a(x,y \ (z \ y),a(u,w,v5)) = a(u,y * (z * y),a(v5,w,x)). a(x * y,z,a(u,x * (y * x),x)) = a(y,y,a(x,z,u)). (a(x,y,z) * (a(u,w,x) \ v5)) \ (a(x,y,z) * (a(u,w,x) \ (v5 * v6))) = L(K(a(u,w,x) \ a(x,y,z),v5) * v6,v5,a(u,w,x) \ a(x,y,z)). a(x,y,(z * a(u,w,w)) \ v5) = a(x,y,z \ (v5 * a(u,w,w))). a(x,y,L(z,u \ w,v5)) = a(x,y,L(z,u * w,v5)). a((x \ 1) * (y * a(z,z,u)),x,a(u,z,z)) * (a(z,z,u) \ y) = T((y / (x \ a(z,z,u))) * (x \ 1),a(z,z,u)). a(x,y,a(z \ (x * u),w,v5)) = a(x,y,a((x \ z) * u,w,v5)). a(x,x * y,a(z,u,u)) = a(z,u,a(x,y,L(u,w,v5))). a(x * y,z,a(u,L(y,x,x),x)) = a(y,y,a(x,z,u)). (a(x,y,z) * (u * a(w,v5,x))) \ (a(x,y,z) * ((u * v6) * a(w,v5,x))) = L(K(a(w,v5,x) \ a(x,y,z),u) * v6,u,a(w,v5,x) \ a(x,y,z)). a(x,y,((z * ((z * u) \ u)) * w) \ v5) = a(x,y,w \ (v5 * a(u,z,z))). a(x,R(y,y,z),L(R(y,y,z),y * u,w)) = a(x,y,L(y,a(y,y,z) * u,w)). a(x,x,a(y * (z \ 1),z,u)) * (a(x,x,u) \ y) = T((y / (z \ a(x,x,u))) * (z \ 1),a(x,x,u)). a(x,y,a((x \ z) * u,w,v5)) = a(x,y,a(z * (x * u),w,v5)). a(x,y,a(z,u,z \ (w \ v5))) = a(x,y,a(z,u,(z \ v5) * w)). L((x \ L(x,y,z)) \ a(u,w,v5),v6,v7) = R(a(u,w,v5) * a(z,y,x),v6,v7). a(x,x * y,a(z,u,u)) = a(z,u,a(x,y,u)). T((x / (y \ a(z,z,u))) * (y \ 1),a(z,z,u)) = a(z,z,a(y \ x,y,u)) * (a(z,z,u) \ x). a(x,y \ (z \ y),a(u,w,v5)) = a(x,z,a(u,w,v5)). a(x * y,z,a(u,y,x)) = a(y,y,a(x,z,u)). L(K(a(x,y,z) \ a(z,u,w),v5) * v6,v5,a(x,y,z) \ a(z,u,w)) = L(L(v6,v5,a(x,y,z)),v5 * a(x,y,z),a(z,u,w)). a(x,R(y,y,z),L(L(y,y,z),y * u,w)) = a(x,y,L(y,a(y,y,z) * u,w)). a(x * (y \ z),u,a(y,w,v5)) = a(y,u,a(z * (y * x),w,v5)). a(x,y,a(z,u,(z \ w) * v5)) = a(x,y,a(z,u,z * (v5 \ w))). a(x,y,a(z,u,y)) * (a(x,y,y) * (z \ u)) = z \ (u * a(x,y,y)). T((x / (y \ a(z,z,u))) * (y \ 1),a(z,z,u)) = a(z,z,a(x * y,y,u)) * (a(z,z,u) \ x). a(x,y,a(z,u,L(w,y,v5))) = a(x,y,a(z,u,w)). a(x * y,z,u) * a(y,y,a(x,z,u)) = a((y \ 1) \ x,z,u). L(K(a(x,y,z) \ 1,u) * w,u,a(x,y,z) \ a(z,v5,v6)) = L(L(w,u,a(x,y,z)),u * a(x,y,z),a(z,v5,v6)). a(x,L(y,y,z),L(L(y,y,z),y * u,w)) = a(x,y,L(y,a(y,y,z) * u,w)). (a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w)))) \ u = a(z,z * w,a(w * (z * u),y,x)). (a(x,y,z) * a(u,u,a(w,v5,v6))) * a(u,u,a(w,v5,v6)) = a(x,y,a(w,v5,a(u,u,v6)) * z). a(x,y,a((z \ u) * w,v5,z)) = a(x,y,a(z,v5,z * (w \ u))). R(a(x,y,z) * a(u,w,v5),v6,v7) = L(a(x,y,z) * a(u,w,v5),v6,v7). (x \ y) * a(z,u,L(u,y,x)) = x \ (y * a(z,u,u)). T((x / (y \ a(z,z,u))) * (y \ 1),a(z,z,u)) = a(z,z,L(u,y,x * y)) \ x. L(x,y,z) * a(u,y,a(w,v5,x)) = L(L(x,y,z),y,a(w,v5,u)). a(x * y,z,a(u,w,v5)) * a(y,y,a(v5,w,a(u,z,x))) = a((y \ 1) \ x,z,a(u,w,v5)). L(L(x,y,a(z,u,w)),y * a(z,u,w),a(w,v5,v6)) = L(1 * x,y,a(z,u,w) \ a(w,v5,v6)). a(x,y,L(y,a(y,y,z) * u,w)) = a(x,y,L(y,y * u,w)). a(x,y,z) * (a(u,u,a(w,v5,v6)) * a(u,u,a(w,v5,v6))) = a(x,y,a(w,v5,a(u,u,v6)) * z). a(x,y,(z * ((u \ z) * w)) \ (u * L(w,u \ z,u \ z))) = a(x,y,a(u,u * z,u * (w \ z))). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(x,y,a(z,z * w,z * (u \ w))). L(a(x,y,z) * a(u,w,v5),v6,v7) \ (a(x,y,z) * a(u,w,v5)) = v7 \ L(v7,v6,a(x,y,z) * a(u,w,v5)). (x \ (y * (a(y,z,a(u,w,w)) \ z))) * a(u,w,L(w,y * (a(y,z,a(u,w,w)) \ z),x)) = x \ (y * (z * a(u,w,w))). T((x / (y \ a(z,z,u))) * (y \ 1),a(z,z,u)) = (x / y) * (a(z,z,u) \ y). L(L(x,y,a(z,u,w)),y,a(z,w,u)) = x * a(w,a(x,y,z),u). a(x * y,z,a(u,w,v5)) * a(y,y,a(v5,w,a(u,z,x))) = a(y \ x,z,a(u,w,v5)). L(L(x,y,a(z,u,w)),y * a(z,u,w),a(w,v5,v6)) = L(x,y,a(z,u,w) \ a(w,v5,v6)). a(x,y,L(y,a(y,y,z) * u,w)) = a(x,y,L(y,u,w)). a(x,y,a(z,u,a(w,w,v5)) * v6) = a(x,y,v6) * 1. x \ L(x,y,a(z,u,w) * a(v5,v6,v7)) = a(x,y,a(z,u,w) * a(v5,v6,v7)). (x \ (y * (z * a(y,z,a(u,w,w))))) * a(u,w,L(w,y * (a(y,z,a(u,w,w)) \ z),x)) = x \ (y * (z * a(u,w,w))). T(x * ((a(y,y,z) * x) \ u),a(y,y,z)) = (u / x) * (a(y,y,z) \ x). L(L(x,y,a(z,u,w)),y,a(z,w,u)) = x * a(u,a(x,y,z),w). a(x * y,z,a(u,w,v5)) * 1 = a(y \ x,z,a(u,w,v5)). L(L(x,y,a(z,u,w)),y * a(z,u,w),a(w,v5,v6)) = L(x,y,a(z,u,w) * a(w,v5,v6)). a(x,y,a(z,u,a(w,w,v5)) * v6) = a(x,y,v6). a(x,y,z * (a(u,w,a(v5,v5,v6)) * v7)) = a(x,y,z * v7). a(x,y,z * (u * a(w,v5,a(v5,v6,v7)))) = a(x,y,u * z). (x \ (L(y,z,a(u,w,w)) * z)) * a(u,w,L(w,y * (a(y,z,a(u,w,w)) \ z),x)) = x \ (y * (z * a(u,w,w))). (x / y) * (a(z,z,u) \ y) = y * ((a(z,z,u) * y) \ x). L(L(x,y,a(z,u,w)),a(z,u,w) * y,a(w,z,u)) = x * a(u,a(x,a(z,u,w) * y,w),z). a(x * (y * z),u,a(z,w,v5)) = a(z,w,a(y \ (z \ x),u,v5)). L(L(x,y,a(z,u,w)),a(z,u,w) * y,a(w,v5,v6)) = L(x,y,a(z,u,w) * a(w,v5,v6)). a(x,y,a(z,z,a(u,w,v5)) * v6) = a(x,y,v6). a(x,y,z * a(u,u,a(w,v5,v6))) = a(x,y,z). a(x,y,(z * ((u \ a(w,w,a(v5,v6,v7))) * v8)) * v9) = a(x,y,(z * (v8 * u)) * v9). a(x,y,z * a(u,u,L(w,v5,v6))) = a(x,y,a(u,u,w) * z). (x \ (L(y,z,a(u,w,w)) * z)) * a(u,w,L(w,y * (z * a(y,z,a(u,w,w))),x)) = x \ (y * (z * a(u,w,w))). (1 / (a(x,x,y) * (z * ((a(x,x,y) * z) \ u)))) \ a(x,x,y) = L(a(x,x,y),z,z \ u) * u. a(x * (y * z),u,a(z,w,v5)) = a(z,w,a(y * (z \ x),u,v5)). x * a(y,a(x,a(z,y,u) * w,u),z) = L(x,w,a(z,y,u) * a(u,z,y)). a(x,y,a(z,z,L(u,w,v5)) * v6) = a(x,y,a(z,z,u) * v6). a(x,y,L(z,a(u,u,w),v5)) = a(x,y,z). a(x,y,(z * (u * L(w,v5,a(v6,v7,v5)))) * v8) = a(x,y,(z * (u * w)) * v8). a(x,y,z * a(u,w,L(w,v5,v6))) = a(x,y,a(w,w,u) * z). (x \ (L(y,z,a(u,w,w)) * z)) * a(u,w,L(w,L(y,z,a(u,w,w)) * z,x)) = x \ (y * (z * a(u,w,w))). L(a(x,x,y),z,z \ u) * u = a(x,x,y) * (a(x,x,y) * (z * ((a(x,x,y) * z) \ u))). (a(x,y,z) * ((u / (w * z)) * ((a(x,y,z) \ w) * z))) \ u = a(z,y,a(w * (z \ u),w * z,x)). a(x,y,z) * ((u / (w * z)) * ((a(x,y,z) \ w) * z)) = u * a(z,y,a(w * (z \ u),w * z,x)). x * a(y,a(x,z * a(u,y,w),u),w) = L(x,z,a(w,y,u) * a(u,w,y)). a(x,y,z * a(u,w,L(L(w,v5,v6),v7,v8))) = a(x,y,a(w,w,L(u,v5,v6)) * z). a(x,y,L(z,a(u,w,w),v5)) = a(x,y,z). a(x,y,(z * (L(u,w,a(w,v5,v6)) * v7)) * v8) = a(x,y,(z * (v7 * u)) * v8). a(x,y,a(z,z,u) * (w * v5)) = a(x,y,w * (v5 * a(u,z,z))). (x \ (L(y,z,a(u,w,w)) * z)) * a(u,w,L(w,(a(u,w,w) * z) * y,x)) = x \ (y * (z * a(u,w,w))). L(a(x,x,y),z,z \ u) * u = y * (L(L(y,x,x),x,x) \ (z * ((a(x,x,y) * z) \ u))). x \ L(x,y,a(z,u,w) * a(w,z,u)) = a(z,a(w,y * a(w,u,z),x),u). a(x,y,z * a(u,w,L(L(w,v5,v6),v7,v8))) = a(x,y,a(w,w,u) * z). a(x,y,((z * (u / (z * u))) * w) \ v5) = a(x,y,a(u,z,z) * (w \ v5)). a(x,y,z * (u * (w * L(v5,v6,a(v7,v7,v8))))) = a(x,y,(u * (w * v5)) * z). a(x,y,(a(z,u,u) * w) * v5) = a(x,y,a(u,u,z) * (v5 * w)). a(x,y,(z * a(u,w,w)) * v5) = a(x,y,a(w,w,u) * (v5 * z)). L(a(x,x,y),z,z \ u) * u = y * (y \ (z * ((a(x,x,y) \ z) \ u))). a(x,a(y,z * a(y,u,x),w),u) = a(w,z,a(x,u,y) * a(y,x,u)). a(x,y,a(z,u,u) * (L(L(a(z,u,u),w,v5),v6,v7) * (R(z,u,u) \ v8))) = a(x,y,a(u,u,z) * (z \ v8)). a(x,y,((z * ((z * u) \ u)) * w) \ v5) = a(x,y,a(u,z,z) * (w \ v5)). L(a(x,x,y),z,z \ u) * u = z * ((a(x,x,y) \ z) \ u). a(x,a(y,z * a(u,w,x),u),w) = a(y,z,a(x,w,u) * a(u,x,w)). a(x,y,z * (u * (w * L(v5,v6,a(v7,v8,v8))))) = a(x,y,(u * (w * v5)) * z). a(x,y,a(z,z,u) * (((w * w) * v5) * v6)) = a(x,y,v5 * (a(u,z,z) * v6)). a(x,y,a(z,z,u) * (w * (v5 * L(v6,v5,a(u,z,z))))) = a(x,y,((a(u,z,z) * v5) * v6) * w). a(x,y,a(z,u,a(w,w,v5) * (v6 * v7))) * a(x,u,z) = a(x,u,L(z,y,(a(v5,w,w) * v7) * v6)). a(x * a(y,x,a(z,z,u) * (w * v5)),v6,L(v7,y,(a(u,z,z) * v5) * w)) = a(x,v6,L(v7,(a(u,z,z) * v5) * w,y)). a(x,y,z * ((u \ (w \ (u \ w))) \ v5)) = a(x,y,a(u,u,w) * (z * v5)). a(x,y,a(z,u,u) * (L(L(a(z,u,u),w,v5),v6,v7) * (R(z,u,u) \ v8))) = a(x,y,L(z,u,u) \ v8). a(x,y,z \ (u * a(w,v5,v5))) = a(x,y,a(w,v5,v5) * (z \ u)). (x / y) * (y * a(z,z,u)) = y * ((a(z,z,u) \ y) \ x). a(x,y,(z * u) * a(w,w,v5)) = a(x,y,u * (a(v5,w,w) * z)). a(x,y,((a(z,u,u) * w) * v5) * v6) = a(x,y,(v6 * (w * v5)) * a(u,u,z)). a(x,y,L(z,u,(a(w,v5,v5) * v6) * v7)) = a(x,y,L(z,u,a(v5,v5,w) * (v7 * v6))). a(x,y,a(z,u,u) * (L(a(z,u,L(u,w,v5)),v6,v7) * (R(z,u,u) \ v8))) = a(x,y,L(z,u,u) \ v8). a(x,y,z \ (a(u,u,w) * v5)) = a(x,y,a(w,u,u) * (z \ v5)). (a(x,x,y) * z) * (z \ u) = z * ((a(x,x,y) \ z) \ u). a(x,y,((a(z,u,u) * w) * v5) * v6) = a(x,y,(w * v5) * (a(z,u,u) * v6)). a(x * a(y,x,a(z,z,u) * (w * v5)),v6,L(v7,y,a(z,z,u) * (w * v5))) = a(x,v6,L(v7,(a(u,z,z) * v5) * w,y)). a(x,y,a(z,u,u) * (a(z,u,L(L(u,w,v5),v6,v7)) * (R(z,u,u) \ v8))) = a(x,y,L(z,u,u) \ v8). a(x,y,z \ (((u \ w) \ v5) * (w * u))) = a(x,y,a(w,u,u) * (z \ v5)). (a(x,x,y) * z) * (z \ (z * u)) = z * L(a(x,x,y) * u,a(x,x,y),z). a(x,y,(z * (a(u,w,w) * v5)) * v6) = a(x,y,(v5 * z) * (a(u,w,w) * v6)). a(x,y,L(z,(a(u,w,w) * v5) * v6,v7)) = a(x,y,L(z,a(w,w,u) * (v6 * v5),v7)). a(x,y,a(z,u,L(L(u,w,v5),v6,v7)) * (z \ v8)) = a(x,y,L(z,u,u) \ v8). x * L(a(y,y,z) * u,a(y,y,z),x) = (a(y,y,z) * x) * u. a(x,y,(z * u) * (a(w,v5,v5) * (u \ K(a(w,v5,v5) * z,u)))) = a(x,y,R(a(w,v5,v5) * z,u,u)). (x \ (L(y,z,a(u,w,w)) * z)) * a(u,w,L(w,a(w,w,u) * (y * z),x)) = x \ (y * (z * a(u,w,w))). a(x,y,L(z,u,L(L(u,w,v5),v6,v7)) \ v8) = a(x,y,L(z,u,u) \ v8). (x * ((a(y,y,z) * u) * w)) / T(x * u,L(a(y,y,z) * w,a(y,y,z),u)) = L(L(a(y,y,z) * w,a(y,y,z),u),u,x). a(x,y,(z * u) * (a(w,v5,v5) * (u \ K(a(w,v5,v5) * z,u)))) = a(x,y,L(a(w,v5,v5) * z,u,u)). (x \ (L(y,z,a(u,w,w)) * z)) * a(u,w,L(w,y * z,x)) = x \ (y * (z * a(u,w,w))). a(x,y,L(L(z,u,w) \ v5,z,z) \ (L(z,v6,v7) * v5)) = a(x,y,L(z,v6,v7) \ L(z,u,w)). (x * ((a(y,y,z) * u) * w)) / T(x * u,a(y,y,z) * w) = L(L(a(y,y,z) * w,a(y,y,z),u),u,x). a(x,y,(z * u) * (a(w,v5,v5) * (u \ K(z,u)))) = a(x,y,L(a(w,v5,v5) * z,u,u)). a(x,y,(z * L(u,w,v5)) \ (L(u,v6,v7) * z)) = a(x,y,L(u,v6,v7) \ L(u,w,v5)). L(L(a(x,x,y) * z,a(x,x,y),u),u,w) = (w * ((a(x,x,y) * u) * z)) / T(w * u,z). a(x,y,(z * u) * (T(u,z) \ a(w,v5,v5))) = a(x,y,L(a(w,v5,v5) * z,u,u)). a(x,y,(z * L(u,w,v5)) \ (L(u,v6,v7) * z)) = a(x,y,a(v5,w,u) * a(u,v6,v7)). L(L(a(x,x,y) * z,a(x,x,y),T(u,w)),T(u,w),w) = (w * ((a(x,x,y) * T(u,w)) * z)) / T(u * w,z). a(x,y,(z * u) * (T(u,z) * a(w,v5,v5))) = a(x,y,L(a(w,v5,v5) * z,u,u)). a(x,y,a(z,u,w) * a(w,z,u)) = a(x,y,a(z,w,u)). L(L(a(x,x,y) * z,a(x,x,y),u),T(u,w),w) = (w * ((a(x,x,y) * T(u,w)) * z)) / T(u * w,z). a(x,y,(z * u) * (z * a(w,v5,v5))) = a(x,y,L(a(w,v5,v5) * u,z,z)). a(x,a(y,z * a(u,w,x),u),w) = a(y,z,a(x,u,w)). L(L(a(x,x,y) * z,a(x,x,y),u),u,w) = (w * ((a(x,x,y) * T(u,w)) * z)) / T(u * w,z). a(x,y,L(a(z,u,u) * T(w \ v5,u \ (z \ (u \ z))),w,w)) = a(x,y,a(u,u,z) * ((u \ (z \ (u \ z))) \ (v5 * (w \ (u \ (z \ (u \ z))))))). a(x,y,a(z,x,u)) = 1. L(L(a(x,x,y) * z,a(x,x,y),u),u,w) = (w * (T(u * a(x,x,y),w) * z)) / T(u * w,z). a(x,y,L(T((z \ u) * a(w,v5,v5),v5 \ (w \ (v5 \ w))),z,z)) = a(x,y,a(v5,v5,w) * ((v5 \ (w \ (v5 \ w))) \ (u * (z \ (v5 \ (w \ (v5 \ w))))))). a(x,y,a(z,z,u)) = 1. a(a(x,y,z),u,y) = 1. a(x,x,a(y,z,u)) = 1. a(x,y,a(z,u,y)) = 1. a(a(x,y,z),z,u) = 1. a(x,y,a(y,z,u)) = 1. a(x,y,L((z \ u) * a(w,v5,v5),z,z)) = a(x,y,a(v5,v5,w) * ((v5 \ (w \ (v5 \ w))) \ (u * (z \ (v5 \ (w \ (v5 \ w))))))). a(a(x,y,y),z,u) = 1. a(x,y,z \ u) * 1 = a(x,y,z * u). L(x,y,a(z,x,u)) = x. x \ a(y,y,a(z,u,w)) = x \ 1. a(x,y,a(z,u,y)) = w \ w. L(a(x,y,z),z,u) = a(x,y,z). L(a(x,y,z),x,u) = a(x,y,z). L(x,y,a(z,u,y)) = x. a(x,y,L((z \ u) * a(w,v5,v5),z,z)) = a(x,y,a(v5,v5,w) * (a(v5,v5,w) * (u * (z \ (v5 \ (w \ (v5 \ w))))))). L(x,y,a(z,u,u)) = x. a(x,y,z \ u) = a(x,y,z * u). a(x,y,z \ u) = a(x,y,u * z). L(x,x,a(y,z,u)) = x. a(x,y,L(z,u,u)) = a(x,y,z). a(x,y,L(y,z * u,w)) = a(x,y,y). x * (L(x,y,z) \ u) = a(z,y,x) * u. a(x,y,L(z,x,u)) = a(x,y,z). (a(x,y,z) * L(z,u,w)) \ v5 = a(x,y,z) \ (L(z,u,w) \ v5). L(x,y,L(z,u,u)) = L(x,y,z). (x / y) * L(y,z,u) = a(u,z,y) \ x. (x * L(y,z,u)) * a(u,z,y) = x * y. a(x,x,y) * (z * u) = z * (a(x,x,y) * u). a(x,y,L((z \ u) * a(w,v5,v5),z,z)) = a(x,y,w * (L(L(w,v5,v5),v5,v5) \ (u * (z \ (v5 \ (w \ (v5 \ w))))))). R(x,y,a(z,u,u)) = x. (a(x,x,y) * z) / u = a(x,x,y) * (z / u). (a(x,x,y) * z) * u = a(x,x,y) * (z * u). (x \ (y * z)) * a(u,w,L(w,y * z,x)) = x \ (y * (z * a(u,w,w))). T(x * (y * L(y \ (x \ z),u,w)),v5) \ T(z,v5) = a(w,u,z * (x * y)). (x \ (y * L(y \ (z * x),u,w))) \ T(z,x) = a(w,u,z * (x \ y)). a(x,y,((z * u) \ w) * (z \ (u \ w))) = a(x,y,a(u,z,w * (u * z))). a(x,y,(z * u) * ((z \ (u \ w)) \ w)) = a(x,y,a(u,z,w * (u * z))). a(x,y,((z \ u) \ (u * w)) * (L(z,z,u) \ w)) = a(x,y,a(u,z,w * z)). a(x,y,(z * u) * ((L(u,w,w) \ w) \ (z * L(w,w,u)))) = a(x,y,a(w * u,u,z)). a(x,y,z \ (u * L(w \ v5,v5,v5))) = a(x,y,z * (u * (L(w,v5,v5) \ v5))). a(x,y,z * (u \ (((u \ a(w,v5,w)) * v6) * z))) = a(x,y,L(L(v6,u,z),z,u)). a(x,y,((z * u) * w) * ((w * u) * z)) = a(x,y,a(w,u,z)). a(x,y,z * (u * ((w * u) \ z))) \ z = (L(w,y,x) * u) * ((w * u) \ z). a(x,y \ z,z * y) \ x = (x / (z \ y)) / (1 / (z \ y)). (a(x,y,z) \ u) * z = u * L(z,y,x). x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u). a(x,y,z) \ (L(z,y,x) \ u) = z \ u. L(x,y,(z \ 1) * u) = L(x,y,z \ u). (x * (a(y,y,z) * u)) / w = a(y,y,z) * ((x * u) / w). (a(x,x,y) * z) * u = z * (a(x,x,y) * u). T(x * a(y,y,z),u) * w = a(y,y,z) * (T(x,u) * w). (a(x,y,z) \ u) / z = a(x,y,z) \ (u / z). (a(x,y,z) * ((u / (w * z)) * (w * L(z,y,x)))) \ u = a(z,y,a(w * (z \ u),w * z,x)). a(x,y,z) * ((u / (w * z)) * (w * L(z,y,x))) = u * a(z,y,a(w * (z \ u),w * z,x)). a(x,y,(z * (u * w)) * (w * u)) = a(x,y,z). a(x,y,L(z,u * w,w * u)) = a(x,y,z). R(x,y,L(z,u,u)) = a(x,y,z) * x. x \ (y * (z * a(u,w,w))) = (x \ (y * z)) * a(u,w,w). a(x,y,z) * ((L(1 / z,u,w) \ 1) \ v5) = (a(w,u,z) * L(z,y,x)) \ v5. a(x,y,L(z,u,w)) \ a(x,y,L(z,x,u)) = a(z,y,a(w,u * x,x)). a(x,y,L((z \ u) * a(w,v5,v5),z,z)) = a(x,y,w * (w \ (u * (z \ (v5 \ (w \ (v5 \ w))))))). a(x,y,z * (u * (L(w,v5,v5) \ v5))) = a(x,y,z * (u * L(w \ v5,v5,v5))). a(x,y,(z * (u * w)) * ((z * w) * u)) = a(x,y,a(z,w,u)). a(x,y,z \ (u \ ((w / (v5 \ v6)) / (1 / (v5 \ v6))))) = a(x,y,z \ (u \ (w * a(w,v6 \ v5,v5 * v6)))). a(x,y,z \ (u * ((w / (v5 \ v6)) / (1 / (v5 \ v6))))) = a(x,y,z \ (u * (a(w,v6 \ v5,v5 * v6) * w))). R(x,y,L(z,u,u)) = R(x,y,z). a(x,y,z) * ((L(1 / z,u,w) \ 1) \ v5) = a(w,u,z) \ (L(z,y,x) \ v5). a(x,y,L(z,u,w)) \ a(x,y,z) = a(z,y,a(w,u * x,x)). a(x,y,z \ L(u,w,v5 \ v6)) = a(x,y,z \ L(u,w,v6 * v5)). a(x,y,L((z \ u) * a(w,v5,v5),z,z)) = a(x,y,u * (z \ (v5 \ (w \ (v5 \ w))))). L(x,a(y,y,z),u) = x. a(x,y,z \ ((u \ (w * v5)) * a(v6,w,w))) = a(x,y,z \ (u \ (v5 * L(w,w,v6)))). a(x,y,z \ (u \ ((w / (v5 \ v6)) / (1 / (v5 \ v6))))) = a(x,y,z \ (u \ R(w,v6 \ v5,v5 * v6))). a(x,y,z \ (u * ((w / (v5 \ v6)) / (1 / (v5 \ v6))))) = a(x,y,z \ (u * R(w,v6 \ v5,v5 * v6))). (a(x,x,y) \ (1 / y)) * L(((a(x,x,y) \ 1) / y) \ z,u,w) = L(y \ 1,x,x) * L((y \ (a(x,x,y) \ 1)) \ z,u,w). R(x,y \ z,y \ z) = R(x,y \ z,z * y). a(x,y,a(z,u * w,w)) = a(w,y,a(z,u,x)). a(x,y,z \ L(u,w,v5 * v6)) = a(x,y,z * L(u,w,v6 \ v5)). (x * (T(y * a(z,z,u),x) * w)) / T(y * x,w) = L(a(z,z,u) * w,y,x). a(x,y,(z \ (u \ (w * v5))) * a(v6,w,w)) = a(x,y,z \ (u \ (v5 * L(w,w,v6)))). L(1 / x,y,y) * L(((a(y,y,x) \ 1) / x) \ z,u,w) = L(x \ 1,y,y) * L((x \ (a(y,y,x) \ 1)) \ z,u,w). a(x,y,z * L(u,w,v5 \ v6)) = a(x,y,z * L(u,w,v6 * v5)). (x * (a(y,y,z) * (T(u,x) * w))) / T(u * x,w) = L(a(y,y,z) * w,u,x). a(x,y,L((z \ u) * a(w,v5,v5),z,z)) = a(x,y,u * (z * a(w,v5,v5))). R(x,(y \ z) \ 1,y \ z) = R(x,z \ y,y * z). a(x,x,y) * ((z * (T(u,z) * w)) / T(u * z,w)) = L(a(x,x,y) * w,u,z). a(x,y,z \ (u \ ((w / (v5 \ v6)) / (1 / (v5 \ v6))))) = a(x,y,z \ (u \ L(w,v6 \ v5,v5 * v6))). a(x,y,z \ (u * ((w / (v5 \ v6)) / (1 / (v5 \ v6))))) = a(x,y,z \ (u * L(w,v6 \ v5,v5 * v6))). a(x,y,z \ (u \ ((1 / (w \ v5)) \ (v6 / (w \ v5))))) = a(x,y,z \ (u \ L(v6,v5 \ w,w * v5))). a(x,y,z \ (u * ((1 / (w \ v5)) \ (v6 / (w \ v5))))) = a(x,y,z \ (u * L(v6,v5 \ w,w * v5))). a(x,y,z \ (u \ ((w \ v5) \ (v6 / ((w \ v5) \ 1))))) = a(x,y,z \ (u \ L(v6,w \ v5,v5 * w))). a(x,y,z \ (u * ((w \ v5) \ (v6 / ((w \ v5) \ 1))))) = a(x,y,z \ (u * L(v6,w \ v5,v5 * w))). a(x,y,z \ (u \ ((w \ v5) \ (((w \ v5) \ 1) \ v6)))) = a(x,y,z \ (u \ L(v6,w \ v5,v5 * w))). a(x,y,z \ (u * ((w \ v5) \ ((w \ v5) \ v6)))) = a(x,y,z \ (u * L(v6,w \ v5,v5 * w))). a(x,y,z \ (u \ L(w,v5 \ v6,v5 \ v6))) = a(x,y,z \ (u \ L(w,v5 \ v6,v6 * v5))). a(x,y,z \ (u * L(w,v5 \ v6,v5 \ v6))) = a(x,y,z \ (u * L(w,v5 \ v6,v6 * v5))). a(x,y,z \ (u \ L(w,(v5 \ v6) * (v5 * v5),(v5 \ 1) \ v6))) = a(x,y,z \ (u \ L(w,v5 \ v6,v6 * v5))). a(x,y,z \ (u \ L(w,(v5 \ 1) \ v6,(v5 \ 1) \ v6))) = a(x,y,z \ (u \ L(w,v5 \ v6,v6 * v5))). a(x,y,z \ (u \ L(w,v5 \ v6,v6 * v5))) = a(x,y,z \ (u \ L(w,v5 * v6,v6 * v5))). a(x,y,z \ (u \ L(w,v5 * v6,v6 * v5))) = a(x,y,z * (u \ L(w,v5 \ v6,v6 * v5))). a(x,y,z * (u \ L(w,v5 \ v6,v6 * v5))) = a(x,y,z * (u \ L(w,v5 * v6,v6 * v5))). a(x,y,z * (u \ L(L(w,v5 \ v6,v6 * v5),v5 * v6,v6 * v5))) = a(x,y,(u \ w) * z). a(x,y,z * (u \ L(w,v5 \ v6,v5 * v6))) = a(x,y,z * (u \ L(w,v5 * v6,v6 * v5))). a(x,x * y,a(z,u,w)) = a(x,u,a(z,y,w)). a(x,y,a(z,u * x,w)) = a(x,y,a(z,u,w)). a(x,y,(z \ u) * a(w,v5,v5)) = a(x,y,u * (z * a(w,v5,v5))). a(x,y,z \ (((u * (1 / (w / v5))) * (v5 \ w)) * v6)) = a(x,y,z \ (R(u,w \ v5,v5 * w) * v6)). a(x,y,z \ (((u * (1 / (w / v5))) * (v5 \ w)) * v6)) = a(x,y,z \ (L(u,w \ v5,v5 * w) * v6)). a(x,y,z \ (((u * ((w / v5) \ 1)) * (v5 \ w)) * v6)) = a(x,y,z \ (L(u,w \ v5,v5 * w) * v6)). a(x,y,z \ (u * ((w \ v5) * (v6 * (v5 / w))))) = a(x,y,z \ (L(v6,v5 \ w,w * v5) * u)). a(x,y,z \ (u * ((w \ v5) * (v6 * (w \ v5))))) = a(x,y,z \ (L(v6,v5 \ w,w * v5) * u)). a(x,y,z \ (L(u,w \ v5,w \ v5) * v6)) = a(x,y,z \ (L(u,v5 \ w,w * v5) * v6)). (a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w)))) \ u = a(z,y,a(w * (z * u),w,x)). a(x,y,a(z,z * u,w)) = a(z,y,a(w,u,x)). (a(x,y,z) * ((u / (w * z)) * (w * L(z,y,x)))) \ u = a(z,y,a(w * (z \ u),w,x)). a(x,y,z) * ((u / (w * z)) * (w * L(z,y,x))) = u * a(z,y,a(w * (z \ u),w,x)). a(x,y,a(z,u,u) * L(w,u * z,z * u)) = a(x,y,((u \ z) * w) * (u * z)). a(x,y,(z \ (u * w)) * (v5 * a(v6,u,u))) = a(x,y,v5 \ (z \ (w * L(u,u,v6)))). a(x,x,y) * L(z,u,w) = L(a(x,x,y) * z,u,w). a(x,y,(z \ (u * w)) * (v5 * a(v6,u,u))) = a(x,y,v5 * (z \ (w * L(u,u,v6)))). a(x,y,a(z,u,u) * L(w,v5,v6)) = a(x,y,L(a(u,u,z) * w,v5,v6)). a(x,y,L(a(z,z,u) * w,z * u,u * z)) = a(x,y,((z \ u) * w) * (z * u)). a(x,y,((z \ u) * w) * (z * u)) = a(x,y,a(z,z,u) * w). (((x * ((y \ (x \ z)) * y)) / x) \ u) * (((x \ 1) \ ((y \ ((x \ 1) * z)) * y)) / x) = (T(z * (x \ 1),y) \ u) * T(z * (x \ 1),y). (((x \ (y / z)) * x) \ u) * (((z \ 1) \ ((x \ ((z \ 1) * y)) * x)) / z) = (T(y * (z \ 1),x) \ u) * T(y * (z \ 1),x). (((x \ (y / z)) * x) \ u) * (((1 \ z) * ((x \ ((1 \ z) \ y)) * x)) / z) = (T(y * (z \ 1),x) \ u) * T(y * (z \ 1),x). (((x \ (y / z)) * x) \ u) * ((z * ((x \ ((1 \ z) \ y)) * x)) / z) = (T(y * (z \ 1),x) \ u) * T(y * (z \ 1),x). (((x \ (y / z)) * x) \ u) * ((z * ((x \ (z \ y)) * x)) / z) = (T(y * (z \ 1),x) \ u) * T(y * (z \ 1),x). (T(x * (y \ 1),z) \ u) * T(x * (y \ 1),z) = (((z \ (x / y)) * z) \ u) * ((z \ (x / y)) * z). (T(x * (y \ 1),z) \ u) * T(x * (y \ 1),z) = (T(x / y,z) \ u) * T(x / y,z). a(x,y,z \ (u * R((T(w / v5,v6) \ v7) * T(w / v5,v6),(w * (v5 \ 1)) \ 1,w * (v5 \ 1)))) = a(x,y,z \ (u * (T(v7 * (1 / (w * (v5 \ 1))),T(w * (v5 \ 1),v6)) * (w * v5)))). a(x,y,z \ (u * R((T(w / v5,v6) \ v7) * T(w / v5,v6),(w * (v5 \ 1)) \ 1,w * v5))) = a(x,y,z \ (u * (T(v7 * (1 / (w * (v5 \ 1))),T(w * (v5 \ 1),v6)) * (w * v5)))). a(x,y,z \ (u * R((T(w / v5,v6) \ v7) * T(w / v5,v6),w \ v5,w \ v5))) = a(x,y,z \ (u * (T(v7 * (1 / (w * (v5 \ 1))),T(w * (v5 \ 1),v6)) * (w * v5)))). a(x,y,z \ (u * L((T(w / v5,v6) \ v7) * T(w / v5,v6),w \ v5,w \ v5))) = a(x,y,z \ (u * (T(v7 * (1 / (w * (v5 \ 1))),T(w * (v5 \ 1),v6)) * (w * v5)))). a(x,y,z \ (L((u / w) * (T(u / w,v5) \ v6),u \ w,u \ w) * v7)) = a(x,y,z \ (v7 * (T(v6 * (1 / (u * (w \ 1))),T(u * (w \ 1),v5)) * (u * w)))). a(x,y,z \ (u * (T(w * (1 / (v5 * (v6 \ 1))),T(v5 * (v6 \ 1),v7)) * (v5 * v6)))) = a(x,y,z \ (L(K(v7,v5 / v6) * w,v5 \ v6,v5 \ v6) * u)). a(x,y,z \ (u * (T(w * (1 / (v5 * (v6 \ 1))),T(v5 * (v6 \ 1),v7)) * (v5 * v6)))) = a(x,y,z \ (K(v7,v5 / v6) * (L(w,v5 \ v6,v5 \ v6) * u))). a(x,y,z \ (u * (T(w * (1 / (v5 * (v6 \ 1))),T(v5 * (v6 \ 1),v7)) * (v5 * v6)))) = a(x,y,z \ (L(w,v5 \ v6,v5 \ v6) * u)). a(x,y,z \ (u * ((w * (1 / (v5 * (v6 \ 1)))) * (v5 * v6)))) = a(x,y,z \ (L(w,v5 \ v6,v5 \ v6) * u)). a(x,y,z \ (u * ((w * ((v5 * (v6 \ 1)) \ 1)) * (v5 * v6)))) = a(x,y,z \ (L(w,v5 \ v6,v5 \ v6) * u)). a(x,y,z \ (u * ((w * v5) * (v6 * (w * (v5 \ 1)))))) = a(x,y,z \ (L(v6,w \ v5,w \ v5) * u)). a(x,y,z \ (u * ((w * v5) * (v6 * (w * v5))))) = a(x,y,z \ (L(v6,w \ v5,w \ v5) * u)). a(x,y,z \ (L(u,w \ v5,w \ v5) * v6)) = a(x,y,z \ (L(u,w * v5,w * v5) * v6)). a(x,y,z \ (L(u,w \ v5,v5 * w) * v6)) = a(x,y,z \ (L(u,v5 * w,v5 * w) * v6)). a(x,y,z \ (L(u,w * v5,w * v5) * v6)) = a(x,y,z * (L(u,v5 \ w,w * v5) * v6)). a(x,y,z * (L(u,w \ v5,v5 * w) * v6)) = a(x,y,z * (L(u,v5 * w,v5 * w) * v6)). a(x,y,z * (L(u,w \ v5,w * v5) * v6)) = a(x,y,z * (L(u,v5 * w,v5 * w) * v6)). a(x,y,z \ (((u \ w) \ ((u \ w) / v5)) * (w * u))) = a(x,y,z \ (v5 \ (w * u))). a(x,y,z \ (((u \ w) \ (v5 \ (u \ w))) * (w * u))) = a(x,y,z \ (v5 \ (w * u))). a(x,y,a(z,u,u) * (w \ (v5 \ (u \ z)))) = a(x,y,w \ (v5 \ (z * u))). a(x,y,a(z,u,u) * (w \ (v5 \ (u \ z)))) = a(x,y,w * (v5 \ (z * u))). a(x,y,((z * (u * T(u \ (z \ w),v5))) * u) * (v6 * (u \ (z * (u * T(u \ (z \ w),v5)))))) = a(x,y,(w / u) \ ((u * (z * (u * T(u \ (z \ w),v5)))) \ v6)). a(x,y,((z * (u * T(u \ (z \ w),v5))) * u) * (v6 * (u \ (z * (u * T(u \ (z \ w),v5)))))) = a(x,y,(u \ w) \ ((u * (z * (u * T(u \ (z \ w),v5)))) \ v6)). a(x,y,((z * (u * T(u \ (z \ w),v5))) * u) * (v6 * T(z * T(z \ (w / u),v5),u))) = a(x,y,(u \ w) \ ((u * (z * (u * T(u \ (z \ w),v5)))) \ v6)). a(x,y,(z * (u * T(u \ (w / v5),v6))) * ((u * (v5 * T(v5 \ (u \ w),v6))) * v5)) = a(x,y,(v5 \ w) \ ((v5 * (u * (v5 * T(v5 \ (u \ w),v6)))) \ z)). a(x,y,(z * (u * (z * (z \ (u \ w))))) * (v5 * (u * T(u \ (w / z),v6)))) = a(x,y,(z \ w) \ ((z * (u * (z * T(z \ (u \ w),v6)))) \ v5)). a(x,y,(z \ u) \ ((z * (w * (z * T(z \ (w \ u),v5)))) \ v6)) = a(x,y,(z * u) * (v6 * (w * T(w \ (u / z),v5)))). a(x,y,(z \ u) \ ((z * (w * (z * T(z \ (w \ u),v5)))) \ v6)) = a(x,y,((w * (w \ (u / z))) * v6) * (z * u)). a(x,y,(z \ u) \ ((z * (w * (z * T(z \ (w \ u),v5)))) \ v6)) = a(x,y,((u / z) * v6) * (z * u)). a(x,y,(z \ u) \ ((z * (w * (z * T(z \ (w \ u),v5)))) \ v6)) = a(x,y,((z \ u) * v6) * (z * u)). a(x,y,(z \ u) * ((z * (w * (z * T(z \ (w \ u),v5)))) \ v6)) = a(x,y,((z \ u) * v6) * (z * u)). a(x,y,(z \ u) * ((z * (w * (z * T(z \ (w \ u),v5)))) \ v6)) = a(x,y,a(z,z,u) * v6). L(1 / x,y,y) * L((a(y,y,x) \ (1 / x)) \ z,u,w) = L(x \ 1,y,y) * L((x \ (a(y,y,x) \ 1)) \ z,u,w). L(x \ 1,y,y) * L((x \ (a(y,y,x) \ 1)) \ z,u,w) = L(1 / x,y,y) * L(L(1 / x,y,y) \ z,u,w). L(1 / x,y,y) * L(L(1 / x,y,y) \ z,u,w) = L(x \ 1,y,y) * L(L(x \ 1,y,y) \ z,u,w). L(1 / x,y,y) * L(L(1 / x,y,y) \ z,u,w) = L(x,y,y) * L(L(x,y,y) \ z,u,w). (x * a(y,y,x)) * L((L(1 / x,y,y) \ 1) \ z,u,w) = L(x,y,y) * L(L(x,y,y) \ z,u,w). x * (a(y,y,x) * L((L(1 / x,y,y) \ 1) \ z,u,w)) = L(x,y,y) * L(L(x,y,y) \ z,u,w). x * L(a(y,y,x) * ((L(1 / x,y,y) \ 1) \ z),u,w) = L(x,y,y) * L(L(x,y,y) \ z,u,w). x * L(a(y,y,x) \ (L(x,y,y) \ z),u,w) = L(x,y,y) * L(L(x,y,y) \ z,u,w). L(x,y,y) * L(L(x,y,y) \ z,u,w) = x * L(x \ z,u,w). (x / T(y,z)) * L((x / T(y,z)) \ u,w,v5) = x * (y * L(y \ (x \ u),w,v5)). (x \ y) * L((x \ y) \ z,u,w) = y * (x * L(x \ (y \ z),u,w)). T(x * (y * L(y \ (x \ z),u,w)),y) = y \ (x * L(x \ (z * y),u,w)). (x \ (y * L(y \ (z * x),u,w))) \ T(z,x) = a(w,u,z * (y * x)). a(x,y,z * (u \ w)) = a(x,y,z * (w * u)). a(x,y,z * (u \ w)) = a(x,y,z * (u * w)). a(x,y,z * (u / w)) = a(x,y,z * (u * w)). a(x,y,(z \ u) * (w * (z * (v5 * (z * T(z \ (v5 \ u),v6)))))) = a(x,y,a(z,z,u) * w). a(x,y,z * (u \ L(w,v5 * v6,v6 * v5))) = a(x,y,z * (L(w,v5 \ v6,v5 * v6) * u)). a(x,y,z * ((((u \ a(w,v5,w)) * v6) * z) * u)) = a(x,y,L(L(v6,u,z),z,u)). a(x,y,(z * u) * ((z * L(w,w,u)) * (L(u,w,w) \ w))) = a(x,y,a(w * u,u,z)). a(x,y,((z \ u) \ (u * w)) * (w * L(z,z,u))) = a(x,y,a(u,z,w * z)). a(x,y,(z * u) * (w * (z \ (u \ w)))) = a(x,y,a(u,z,w * (u * z))). a(x,y,((z * u) \ w) * ((u \ w) * z)) = a(x,y,a(u,z,w * (u * z))). a(x,y,(z * ((u \ z) * w)) \ (u * L(w,u \ z,u \ z))) = a(x,y,a(u,u * z,u * (z * w))). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(x,y,a(z,z * w,z * (w * u))). a(x,y,(z * ((u \ z) * w)) \ (u * L(w,u \ z,z * u))) = a(x,y,a(u,u * z,u * (z * w))). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(z,y,a(z * (w * u),w,x)). a(x,y,(z * ((u \ z) * w)) * (u * L(w,u \ z,z * u))) = a(x,y,a(u,u * z,u * (z * w))). a(x,y,(z * ((u \ z) * w)) * (u * L(w,u \ z,z * u))) = a(u,y,a(u * (z * w),z,x)). a(x,y,a(z,u,u) * (w * (v5 \ (u \ z)))) = a(x,y,w * (v5 \ (z * u))). a(x,y,z * ((u * (w * w)) * v5)) = a(x,y,(u \ v5) * z). a(x,y,z * ((u * w) / v5)) = a(x,y,z * (v5 * (w * u))). a(x,y,(z * (u * (w * (u * (u \ (w \ v5)))))) * (u \ v5)) = a(x,y,a(u,u,v5) * z). a(x,y,z * (u \ L(w,v5 * v6,v6 * v5))) = a(x,y,z * (L(w,v6 * v5,v6 * v5) * u)). a(x,y,(z * ((u * z) * w)) * w) = a(x,y,L(L(u,z,w),w,z)). a(x,y,(z * u) * ((z * L(w,w,u)) * L(u \ w,w,w))) = a(x,y,a(w * u,u,z)). a(x,y,(z \ u) * w) = a(x,y,(u * z) * w). a(x,y,z * (u * (w * u))) = a(x,y,z * w). a(x,y,(z * (u * w)) * (u \ w)) = a(x,y,a(u,u,w) * z). a(x,y,z * (u * (z * (w * u)))) = a(x,y,L(L(w,u,z),z,u)). a(x,y,z * L(u,w,w)) = a(x,y,z * u). a(x,y,(z * (u * w)) * (w * u)) = a(x,y,a(u,u,w) * z). a(x,y,(z * u) * L(L(w,u,z),v5,v5)) = a(x,y,z * (u * w)). a(x,y,z * (u * L(w,v5,v5))) = a(x,y,z * (u * w)). a(x,y,z * (L(u,w,w) * v5)) = a(x,y,z * (v5 * u)). a(x,y,(z * u) * ((z * L(w,w,u)) * (u \ w))) = a(x,y,a(w * u,u,z)). a(x,y,z * (u * (w \ v5))) = a(x,y,z * (u * (v5 * w))). a(x,y,z * (u \ L(w,v5 * v6,v6 * v5))) = a(x,y,z * (u * w)). a(x,y,z * (u * (z * (w * u)))) \ z = (L(w,y,x) * u) * ((w * u) \ z). a(x,y,z * (u * L(w,v5 \ v6,v6 * v5))) = a(x,y,(u \ w) * z). a(x,y,L(L(z,u,w),w,u)) \ w = (L(z,y,x) * u) * ((z * u) \ w). a(x,y,z * (u * L(w,v5 \ v6,v6 * v5))) = a(x,y,(w * u) * z). (L(x,y,z) * u) * ((x * u) \ w) = u \ ((a(z,y,x) \ u) * w). (x / (y * z)) * (y * L(z,u,w)) = y \ ((a(w,u,z) \ y) * x). (a(x,y,z) * (u \ ((a(x,y,z) \ u) * w))) \ w = a(z,y,a(u * (z \ w),u,x)). a(x,y,z) * (u \ ((a(x,y,z) \ u) * w)) = w * a(z,y,a(u * (z \ w),u,x)). a(x,y,a(z * (x \ u),z,w)) = L(u,a(x,y,w),z) \ u. x * a(y,z,a(u * (y \ x),u,w)) = L(x,a(y,z,w),u). a(x,y,a(z * (x \ u),z,w)) = a(z,a(x,y,w),u). a(x,y,(z * u) * (w * ((u \ w) * z))) = a(u,y,a(u * (w * z),w,x)). a(x,y,a(z,z,u) * w) = a(x,y,w). a(x,y,a(z,u,u) * w) = a(x,y,w). a(x,y,z * (u * a(w,v5,v5))) = a(x,y,z * u). a(x,y,z * (u \ (w \ v5))) = a(x,y,z * (u \ (v5 * w))). a(x,y,z * (u \ (w * L(v5,v5,v6)))) = a(x,y,(u \ (v5 * w)) * z). a(x,y,z * (u * L(w,w,v5))) = a(x,y,z * (u * w)). a(x,y,z * (u \ (w * v5))) = a(x,y,z * ((v5 \ w) * u)). a(x,y,z * (u \ (w * L(v5,v5,v6)))) = a(x,y,((v5 * w) * u) * z). a(x,y,((z \ u) \ (u * w)) * (w * z)) = a(x,y,a(u,z,w * z)). a(x,y,z * ((u \ w) * v5)) = a(x,y,z * ((w * u) * v5)). a(x,y,z * ((u * L(w,w,v5)) * v6)) = a(x,y,((w * u) * v6) * z). a(x,y,((z * u) * (w \ z)) * (u * w)) = a(x,y,a(z,w,u * w)). a(x,y,((z * u) \ w) * ((w * u) * z)) = a(x,y,a(u,z,w * (u * z))). a(x,y,((z * u) * (w \ z)) * (u * w)) = a(x,y,a(z * w,w,u)). a(x,y,(z * (u * w)) * ((z * w) * u)) = a(x,y,a(w,u,z * (w * u))). a(x,y,a(z * u,u,w)) = a(x,y,a(z,u,w * u)). a(x,y,a(z,u,w * (z * u))) = a(x,y,a(w,z,u)). a(x,y,a(z * u,z,w)) = a(x,y,a(u,z,w * z)). a(x,y,(z * u) * (w * (z \ (u \ w)))) = a(x,y,a(w,u,z)). a(x,y,a(x \ z,u,w * u)) = a(u,a(x,y,w),z). x * a(y,z,a(y \ x,u,w * u)) = L(x,a(y,z,w),u). a(x,y,(z * u) * (w * ((u \ w) * z))) = a(x,y,a(w,u,z)). a(x,y,a(x * z,u,w * u)) = a(u,a(x,y,w),z). x * a(y,z,a(y * x,u,w * u)) = L(x,a(y,z,w),u). a(x,y,a(x * (z * u),z,w)) = a(w,y,a(z,x,u)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = u * a(x,y,a(w,z,u)). a(x,y,z) * ((u / (z \ w)) * (z \ (a(x,y,z) \ w))) = L(u,y,a(w,z,x)). a(x,y,a(z * (x * u),z,w)) = L(u,y,a(z,x,w)) \ u. a(x,y,a(z * (x * u),z,w)) = a(a(z,x,w),y,u). a(x,y,a(z * (x * u),z,w)) = a(z,x,a(u,y,w)). a(x,y,a(x * z,u,w * u)) = a(u,x,a(z,y,w)). a(x,a(y,z,u),w) = a(x,y,a(w,z,u)). x * a(y,z,a(x,u,w)) = L(x,a(z,u,w),y). a(x,a(y,z,u),w) = a(x,y,a(u,z,w)). x * a(y,z,a(x,u,w)) = L(x,a(w,u,z),y). a(x,y,a(z,u,w)) = a(x,w,a(z,u,y)). a(x,a(y,z,u),w) = a(x,w,a(u,z,y)). a(x,y,a(z,u,w)) = 1. end_of_list.