% **********************************************************
% AIM:  aK1 + aa1_45 => aa1
% **********************************************************

assign(order, kbo).
set(lex_order_vars).

clear(back_demod).
set(restrict_denials).

set(para_from_small).

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.

   % cancellation laws
   x * y = u & x * z = u -> y = z.
   y * x = u & z * x = u -> y = z.

      % other form
      x * y = x * z -> y = z.
      y * x = z * x -> y = z.

   % useful in demodulation free runs
   x != y | z * x = z * y.
   x != y | x * z = y * z.

   % 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).

   % 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.

   % 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
   a(K(x,y),z,u) = 1 # label("aK1").
   a(a(x,y,z),u,w) = a(a(x,y,z),w,u) # label("aa1_45").

end_of_list.

formulas(goals).

   a(a(x,y,z),u,w) = 1 # label("aa1").

end_of_list.

%
% Hints extracted from previously found proofs.
%

formulas(hints).

a(a(x,y,z),u,w) = 1.
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 * u != z | u = y.
x * y != z | u * y != z | u = x.
x * y != x * z | y = z.
x * y != z * y | x = z.
x != y | z * x = z * y.
x != y | x * z = y * z.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
(x * y) \ (y * x) = K(y,x).
(x * y) \ (x * (y * z)) = L(z,y,x).
((x * y) * z) / (y * z) = R(x,y,z).
x \ (y * x) = T(y,x).
a(x,y,z) != 1 | L(z,y,x) = z.
L(x,y,z) != x | a(z,y,x) = 1.
T(x,y) != x | T(y,x) = y.
T(x,y) != x | K(x,y) = 1.
K(x,y) != 1 | T(x,y) = x.
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
T(R(x,y,z),u) = R(T(x,u),y,z).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
a(a(x,y,z),u,w) = a(a(x,y,z),w,u).
a(a(c1,c2,c3),c4,c5) != 1.
1 \ x = x.
x \ (1 * (x * y)) = y.
x \ x = 1.
x \ (x * (y \ (y * z))) = z.
(x * (x \ 1)) * y = y.
x * (y * (y \ 1)) = x.
x \ (y * (y \ (x * z))) = z.
x * (y * (y \ (x \ z))) = z.
x / x = 1.
x / 1 = x.
x * (((x \ y) * z) / z) = y.
x / (y \ x) = y.
((1 / x) * x) * y = y.
(x / y) \ x = y.
x \ (((x * y) / z) * z) = y.
(((x / y) / z) * z) * y = x.
x != y | 1 * z != y | z = x.
x != y | x * z != y | z = 1.
x != y | x * z != y | 1 = z.
x != y | z * u != y | u = z \ x.
x != y | z * u != y | z \ x = u.
x != y | z * 1 != y | z = x.
x != y | z * u != y | z = x / u.
x != y | z * u != y | x / u = z.
x != 1 * y | x = y.
1 * x != y | y = x.
x * y != z \ (z * (x * u)) | y = u.
x \ (x * (y * z)) != y * u | u = z.
x != y * z | y \ x = z.
x * y != z | x \ z = y.
x != y * 1 | x = y.
x * 1 != y | y = x.
x * 1 != y | x = y.
x * (y \ z) != z | x = y.
x != y * z | x / z = y.
x * y != z | z / y = x.
x * (y * (y \ z)) = x * z.
((x / y) * y) * z = x * z.
(x * (x \ y)) * z = y * z.
(x * (y * z)) * a(x,y,z) = (x * y) * z.
(x * 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) * L(z,y,x) = x * (y * z).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
(x * y) \ (x * z) = L(y \ z,y,x).
L(x \ y,x,z) = (z * x) \ (z * y).
(x * (y / z)) \ (x * y) = L(z,y / z,x).
L(x,y / x,z) = (z * (y / x)) \ (z * y).
(x * y) / (x * y) = R(1,x,y).
(x * y) / (y * 1) = R(x,y,1).
R(x,y,z) * (y * z) = (x * y) * z.
(x * y) / (z * y) = R(x / z,z,y).
R(x / y,y,z) = (x * z) / (y * z).
T(x,x) = x.
x * T(y,x) = y * x.
(x \ y) \ y = T(x,x \ y).
T(x,x \ y) = (x \ y) \ y.
x \ y = T(y / x,x).
T(x / y,y) = y \ x.
L(x,y,K(z,u)) = x.
T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y).
T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u).
x != y | z != y | z = x.
x != y | x = (y / z) * z.
(x * y) / y = (x / z) * z.
x * (x \ y) = (y / z) * z.
(x / y) * y = z * (z \ x).
1 * x = (x / y) * y.
(x / y) * y = 1 * x.
x != y | x = z * (z \ y).
x * 1 = y * (y \ x).
x * (x \ y) = y * 1.
x != (y / z) * z | x = y.
x * T(y / x,x) = y.
x != y * (y \ z) | x = z.
(x \ y) * T(x,x \ y) = y.
x * y != 1 * x | 1 = y.
1 = T(1,x).
T(1,x) = 1.
1 * x != y * 1 | x = y.
T(x,1) = x.
x * y != z | x = z / y.
x = (y * x) / T(y,x).
(x * y) / T(x,y) = y.
x * y != ((x * z) / u) * u | y = z.
T((x * y) / x,x) = y.
x = (y * T(x,y)) / y.
(x * T(y,x)) / x = y.
x * y != z | y = x \ z.
x = y \ (x * T(y,x)).
x \ (y * T(x,y)) = y.
x * y != y * z | T(x,y) = z.
x * y != z * x | T(z,x) = y.
x * y != y * T(z,y) | x = z.
x * T(y,x) != z * x | z = y.
(x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)).
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.
(K(x,y) * (z * u)) * 1 = (K(x,y) * z) * u.
(x * y) * a(x,z,z \ y) = (x * z) * (z \ y).
(a(x,y,z) * (u * w)) * a(a(x,y,z),w,u) = (a(x,y,z) * u) * w.
(x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z).
x * y = (x * (y * z)) / L(z,y,x).
(x * (y * z)) / L(z,y,x) = x * y.
x * L(y,z \ x,z) = z * ((z \ x) * y).
x * L(y,z,x / z) = (x / z) * (z * y).
x * (y * z) != (x * y) * u | L(z,y,x) = u.
(x * y) * z != x * (y * u) | L(u,y,x) = z.
((x * y) * (L(z,y,x) * u)) \ ((x * (y * z)) * u) = a(x * y,L(z,y,x),u).
(x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y).
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
(x * y) * 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) * L(z,T(x,y),y) = y * (T(x,y) * z).
x != y | x = 1 * y.
L(x,y,K(z,u)) = 1 * x.
(K(x,y) * z) * u = K(x,y) * (z * u).
x * y = R(z,x,y) \ ((z * x) * y).
R(x,y,z) \ ((x * y) * z) = y * z.
R(x,y,y \ z) * z = (x * y) * (y \ z).
R(x,y / z,z) * y = (x * (y / z)) * z.
(x * y) * z != u * (y * z) | R(x,y,z) = u.
((x * y) * z) \ ((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).
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.
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u).
x * (y * z) != (u * y) * z | x = R(u,y,z).
x = R(((x * (y * z)) / z) / y,y,z).
R(((x * (y * z)) / z) / y,y,z) = x.
x / (y * z) = R((x / z) / y,y,z).
R((x / y) / z,z,y) = x / (z * y).
((x / y) \ x) * z = y * z.
x * ((y / (x \ z)) \ y) = z.
((x / (y / z)) \ x) \ y = z.
x != (y / z) \ y | x = z.
T(x / (x / y),x / y) = y.
T(x \ y,z) = T(T(y / x,z),x).
T(T(x / y,z),y) = T(y \ x,z).
T(L(x / y,z,u),y) = L(y \ x,z,u).
T(R(x / y,z,u),y) = R(y \ x,z,u).
K(x,y) = R(K(x,y),z,u).
R(K(x,y),z,u) = K(x,y).
x * y != z * x | y = T(z,x).
x * K(y,z) = T(K(y,z) * x,K(y,z)).
T(K(x,y) * z,K(x,y)) = z * K(x,y).
(K(x,y) * z) * (z \ u) = K(x,y) * u.
(K(x,y) * z) * u != K(x,y) * w | z * u = w.
K(x,y) * z != (K(x,y) * u) * w | u * w = z.
(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)) * w) / (u * w) = R(K(x,y) * z,u,w).
x \ (K(y,z) * (u * x)) = T(K(y,z) * u,x).
x != y \ (z * y) | x = T(z,y).
L(x \ (y * x),x,y) = T(y,y * x).
x != L(y,z,K(u,w)) | x = y.
(K(x,y) * z) \ (K(x,y) * u) = z \ u.
L(x \ 1,x,y) = (y * x) \ y.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(x \ (y \ z),x,y) = (y * x) \ z.
L(x \ y,x,z / x) = z \ ((z / x) * y).
L((x * y) \ (x * z),u,w) = L(L(y \ z,u,w),y,x).
L(L(x \ y,z,u),x,w) = L((w * x) \ (w * y),z,u).
L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
x != (y * z) * L(u,z,y) | x = y * (z * u).
L(x,y,z) * (z * y) = z * (y * T(x,z * y)).
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
x * L(x \ y,z,u) = L(y / x,z,u) * x.
L(x / y,z,u) * y = y * L(y \ x,z,u).
x * L(y,z,u) = L((x * y) / x,z,u) * x.
L((x * y) / x,z,u) * x = x * L(y,z,u).
L((x * y) / x,z,u) = (x * L(y,z,u)) / x.
(x * L(y,z,u)) / x = L((x * y) / x,z,u).
L(x / y,z,u) = (y * L(y \ x,z,u)) / y.
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
T(x,y) = (z * T(T(x,z),y)) / z.
(x * T(T(y,x),z)) / x = T(y,z).
x * T(T(y,x),z) != u * x | T(y,z) = u.
x * T(x \ y,z) = T(y / x,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
x * T(y,z) = T((x * y) / x,z) * x.
T((x * y) / x,z) * x = x * T(y,z).
T(x / y,z) = (y * T(y \ x,z)) / y.
(x * T(x \ y,z)) / x = T(y / x,z).
x * y != z | y \ z = T(x,y).
x * y != z | T(x,y) = y \ z.
(x * y) \ ((x \ (x * y)) * x) = K(y,x).
x * K(y \ x,y) = (y \ x) * y.
x \ (y * T(y \ x,y)) = K(y \ x,y).
(K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,L(u,z,K(x,y)),K(x,y) * z).
(K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,L(u,z,K(x,y)),K(x,y) * z).
x != (y * (z * u)) \ (y * (z * (u * w))) | x = L(L(w,u,z),z * u,y).
L(x,L(y,z,K(u,w)),K(u,w) * z) = L(L(x,y,z),z * y,K(u,w)).
L(L(x,y,z),z * y,K(u,w)) = L(x,L(y,z,K(u,w)),K(u,w) * z).
L(x,L(y,z,K(u,w)),K(u,w) * z) = L(x,y,z).
L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z).
L(x,y,K(z,u) * w) = L(x,y,w).
x != y \ ((z \ y) * z) | x = K(z \ y,z).
(x \ 1) * x = K(x \ 1,x).
(x * (x \ 1)) \ y = y.
((1 / x) * x) \ y = y.
x != 1 \ y | x = y.
L(x \ y,x,1 / x) = (1 / x) * y.
L(x \ y,x,y / x) = T(y / x,y).
L(x \ 1,x,y / x) = y \ (y / x).
L(x,y,1 / y) = (1 / y) * (y * x).
(1 / x) * (x * y) = L(y,x,1 / x).
T((1 / x) * y,z) = L(T(x \ y,z),x,1 / x).
L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z).
R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x).
L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u).
L((1 / x) * y,z,u) = L(L(x \ y,z,u),x,1 / x).
L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u).
x * y != z | x \ (u * (u \ z)) = y.
(x / y) \ (z * (z \ x)) = y.
x * y != z | x \ (z * 1) = y.
x \ (y * 1) = x \ y.
x * y != z * T(u,z) | x \ (u * z) = y.
R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y).
K(x,y) \ (z * (K(x,y) * u)) = u * T(z,K(x,y) * u).
x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y.
R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z).
x * y != (z / u) * u | x \ z = y.
(((x / y) * y) / z) \ x = z.
x * y != z * (z \ u) | x \ u = y.
((x * (x \ y)) / z) \ y = z.
L(x,y,(y * x) / y) = T((y * x) / y,y * x).
T((x * y) / x,x * y) = L(y,x,(x * y) / x).
x * y != z * L(T(u,z),w,v5) | x \ (L(u,w,v5) * z) = y.
(x / y) \ (L(z,y,x / y) * x) = y * T(z,x).
x != y | x = (z / y) \ z.
x / 1 = (y / x) \ y.
(x / y) \ x = y / 1.
x / (y * (y \ 1)) = x.
x / ((1 / y) * y) = x.
L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z).
T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y).
T(1 / x,y) = L(T(x \ 1,y),x,1 / x).
L(T(x \ 1,y),x,1 / x) = T(1 / x,y).
x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)).
(x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z).
(x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z).
(x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y).
x != y \ (z * T(z \ y,z)) | x = K(z \ y,z).
x * T(x \ 1,y) = K(y \ (y / x),y).
K(x \ (x / y),x) = y * T(y \ 1,x).
x * y != z \ (u * T(u \ z,u)) | x \ K(u \ z,u) = y.
x \ K(y \ (y / x),y) = T(x \ 1,y).
x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x.
(x * (y * z)) / (x * y) = L(((x * y) * z) / (x * y),y,x).
L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y).
x * y != z \ ((u \ z) * u) | K(u \ z,u) / y = x.
K(x \ 1,x) / x = x \ 1.
x * y != (z / u) * u | z / y = x.
x / L(y,z,x / (z * y)) = (x / (z * y)) * z.
x / (y \ ((x / z) * z)) = y.
x * y != z * (z \ u) | u / y = x.
x / T(y,y \ x) = y \ x.
(x / (y \ x)) * z = y * z.
x / (y / ((z \ x) \ y)) = z.
(x / x) * y = y.
x * (y / y) = x.
R(1 / x,x,y) = y / (x * y).
R(x / y,y,x \ z) = z / (y * (x \ z)).
R(x / y,y,y \ z) = (x * (y \ z)) / z.
R(x / (y / z),y / z,z) = (x * z) / y.
T((x * y) / (z * y),u) = R(T(x / z,u),z,y).
R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y).
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(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u).
T(R(x / y,y,z),y * z) = (y * z) \ (x * z).
L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y.
x != y / 1 | x = y.
R(x / (1 / y),1 / y,y) = x * y.
T((x * y) / z,u) = R(T(x / (z / y),u),z / y,y).
R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u).
R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y).
R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w).
L((x * y) / z,u,w) * ((z / y) * y) = (L(x / (z / y),u,w) * (z / y)) * y.
(L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * ((y / z) * z).
(L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y.
((x / y) * L((x / y) \ z,u,w)) * y = L((z * y) / x,u,w) * x.
x != L((y * z) / y,u,w) * y | x = y * L(z,u,w).
((x / y) * L((x / y) \ x,z,u)) * y = x * L(y,z,u).
x != L(y / z,u,w) * z | x = z * L(z \ y,u,w).
((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w).
((x / y) * L(y,z,u)) * y = x * L(y,z,u).
x / y = ((x / L(y,z,u)) / y) * L(y,z,u).
((x / L(y,z,u)) / y) * L(y,z,u) = x / y.
x * y != 1 * z | z / y = x.
L(x,y,z) / x = (1 / x) * L(x,y,z).
(1 / x) * L(x,y,z) = L(x,y,z) / x.
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
(x * (y * z)) * z = ((x * y) * z) * L(z,y,x).
((x * y) * z) * L(z,y,x) = (x * (y * z)) * z.
((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x).
R(x,1 / y,y) = (x * (1 / y)) * y.
(x * (1 / y)) * y = R(x,1 / y,y).
T(x * y,z) = R(T(x / (1 / y),z),1 / y,y).
R(T(x / (1 / y),z),1 / y,y) = T(x * y,z).
R(x,1 / y,y) = T(((1 / y) * x) * y,1 / y).
T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x).
x * y != R(T(z / (1 / u),w),1 / u,u) | T(z * u,w) / y = x.
T(x * y,z) / y = T(x / (1 / y),z) * (1 / y).
T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y.
x * y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x.
L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y).
x != T(y / z,u) * z | x = z * T(z \ y,u).
T(x * y,z) / y = (1 / y) * T((1 / y) \ x,z).
(1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x.
T(1 / (1 / x),y) * (1 / x) = T(x,y) / x.
T(x,y) / x = (1 / x) * T((1 / x) \ 1,y).
(1 / x) * T((1 / x) \ 1,y) = T(x,y) / x.
x != y * T(y \ 1,z) | x = K(z \ (z / y),z).
T(x,y) / x = K(y \ (y / (1 / x)),y).
K(x \ (x / (1 / y)),x) = T(y,x) / y.
(1 / x) * T(x,y) = T(x,y) / x.
K(x \ (x / (1 / y)),x) * y = T(y,x).
L(x,y,T(z,u) / z) = x.
L(x,y,T(z,u)) = L(x,y,z).
L(x,y,z \ (u * z)) = L(x,y,u).
L(x,y,z \ u) = L(x,y,u / z).
L(x,y,z / u) = L(x,y,u \ z).
L(x,y,z) = L(x,y,(u * z) / u).
L(x,y,(z * u) / z) = L(x,y,u).
L(x,y,(z \ u) \ u) = L(x,y,z).
x != L(y \ 1,y,z / y) | x = z \ (z / y).
L(x \ 1,x,x \ y) = y \ (y / x).
x != L(y \ z,y,1 / y) | x = (1 / y) * z.
L(x \ y,x,x \ 1) = (1 / x) * y.
L(x \ 1,x,x \ 1) = 1 / x.
L(x,y,y \ 1) = (1 / y) * (y * x).
(1 / x) * (x * y) = L(y,x,x \ 1).
x != T(y / z,z) | x = z \ y.
R(T(x / y,y * z),y,z) = (y * z) \ (x * z).
T(x / (y * x),z) = R(T(1 / y,z),y,x).
T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y.
R(x / y,y,x \ z) \ z = y * (x \ z).
T(x,x \ y) * z = ((x \ y) \ y) * z.
x * T(y,y \ z) = x * ((y \ z) \ z).
L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y).
x * ((T(y,x) \ z) \ z) = T(y,T(y,x) \ z) * x.
T(x,T(x,y) \ z) * y = y * ((T(x,y) \ z) \ z).
x * (x \ y) != z | z = y.
(x * y) * L(z,y,x) != u | u = x * (y * z).
(x * y) * L(z,y,x) != u | x * (y * z) = u.
x * T(y,x) != z | z = y * x.
x * T(y,x) != z | y * x = z.
(x / y) * y != z | z = x.
x / 1 != y | y = x.
(x / y) \ x != z | z = y.
R(x / (1 / y),1 / y,y) != z | z = x * y.
R(x / (1 / y),1 / y,y) != z | x * y = z.
x \ (x * y) != z | z = y.
T(x,x) != y | y = x.
x \ (y * x) != z | z = T(y,x).
x \ (y * x) != z | T(y,x) = z.
(x * (y * z)) \ ((x * y) * z) != u | u = a(x,y,z).
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
(x * y) \ (x * (y * z)) != u | u = L(z,y,x).
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
T((x * y) / x,x) != z | z = y.
x \ (y * 1) != z | z = x \ y.
x \ (y * 1) != z | x \ y = z.
(x * y) * (y \ 1) = R(x,y,y \ 1).
x * (y * z) != (u * y) * L(z,y,u) | x = u.
(x * y) * L(y \ 1,y,x) = x.
x * y != z * (u * (u \ 1)) | z / y = x.
x / L(y \ 1,y,x) = x * y.
R(x,y,y \ 1) / (y \ 1) = x * y.
x * y != z * (u * (u \ 1)) | x \ z = y.
(K(x,y) * z) \ K(x,y) = z \ 1.
x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1).
x * y != L(R(z,u,w),v5,v6) * (u * w) | x \ ((L(z,v5,v6) * u) * w) = y.
x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z).
((x / y) * y) * z = ((x * z) / u) * u.
((x * y) / z) * z = ((x / u) * u) * y.
(x * y) / L(z,y / z,x) = x * (y / z).
(x * (y * z)) / L(T(y,z),z,x) = x * z.
(x * ((y * z) * u)) / L(z * u,R(y,z,u),x) = x * R(y,z,u).
x != ((y / z) * z) * u | x = y * u.
R(x / y,y,y \ 1) = x * (y \ 1).
1 * x != (y * z) * (z \ 1) | x = R(y,z,z \ 1).
x \ 1 = R(1 / x,x,x \ 1).
R(1 / x,x,x \ 1) = x \ 1.
x * y != x | 1 = y.
1 = K(x,x).
K(x,x) = 1.
x * (y / x) = y * K(x,y / x).
x * K(y,x / y) = y * (x / y).
x * y != (z * u) * K(u,z) | (u * z) / y = x.
(x * y) / (x * K(x,y)) = R(y,x,K(x,y)).
x * y != (z * u) * K(u,z) | x \ (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)).
K(x,y) \ (x * y) = T(y * x,K(x,y)).
1 * x != (y * z) * K(z,y) | x = z * y.
K(x,1 / x) = x * (1 / x).
x * (1 / x) = K(x,1 / x).
x * y != (y * x) * z | K(x,y) = z.
(x * y) * z != y * x | K(y,x) = z.
(x * y) \ (y * x) != z | z = K(y,x).
(x * y) \ (y * x) != z | K(y,x) = z.
(x * y) * K(K(x,y),y * x) = K(x,y) * (y * x).
L((x \ 1) \ y,x \ 1,x) = x * y.
L((x \ y) \ 1,x \ y,x) = y \ x.
L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))).
T(x \ (y * z),u) = L(T((y \ x) \ z,u),y \ x,y).
L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u).
R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y).
L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w).
L(x \ (y * z),u,w) = L(L((y \ x) \ z,u,w),y \ x,y).
L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w).
R((x * (y / z)) \ (x * y),u,w) = L(R(z,u,w),y / z,x).
x * y != R(R(z / (u / w),v5,v6),u / w,w) | R((z * w) / u,v5,v6) / y = x.
R((x * y) / 1,z,u) / y = R(x / (1 / y),z,u) * (1 / y).
R(x / (1 / y),z,u) * (1 / y) = R((x * y) / 1,z,u) / y.
1 * x != y | x = y.
L(x,y \ 1,y) = y * ((y \ 1) * x).
x * ((x \ 1) * y) = L(y,x \ 1,x).
x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)).
x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w).
x * y != 1 * z | x \ z = y.
x \ R(1 \ (x * y),z,u) = (x \ 1) * R((x \ 1) \ 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) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z).
x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y.
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
x * R(x \ y,z,u) = R(y / x,z,u) * x.
R(x / y,z,u) * y = y * R(y \ x,z,u).
x * R(y,z,u) = R((x * y) / x,z,u) * x.
R((x * y) / x,z,u) * x = x * R(y,z,u).
(x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y).
(x * R(x \ y,z,u)) / x = R(y / x,z,u).
R((x * y) / (x * z),u,w) * (x * z) = (x * z) * R(L(z \ y,z,x),u,w).
x \ (K(y,z) * u) = T(K(y,z) * (u / x),x).
T(K(x,y) * (z / u),u) = u \ (K(x,y) * z).
T(K(x,y) * z,K(x,y)) != u | u = z * K(x,y).
T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u.
x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y.
(1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u).
x != (y * z) \ (z * y) | x = K(z,y).
L(x \ T(x,y),x,y) = K(x,y).
x != y \ (y * z) | x = z.
L(x \ T(y * x,y),x,y) = y.
x != L(y,z,u / w) | x = L(y,z,w \ u).
T(x / y,x) = L(y \ x,y,y \ x).
L(x \ y,x,x \ y) = T(y / x,y).
x * R(1 / y,y,z) = x * (z / (y * z)).
R(1 / x,x,x \ y) = (x \ y) / y.
R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x).
R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z).
R(1 / x,x,T(y,x)) = T(y,x) / (y * x).
R(1 / x,x,y) \ y = x * y.
R(x,x \ 1,y) = y / ((x \ 1) * y).
R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z).
(x / (y * x)) * y = y * R(y \ 1,y,x).
R(x \ 1,x,y) = T(y / (x * y),x).
T(x / (y * x),y) = R(y \ 1,y,x).
R(x,x \ 1,y) \ y = (x \ 1) * y.
x * y != R(K(z,u),w,v5) | K(z,u) / y = x.
K(x,y) / z = K(x,y) * (1 / z).
K(x,y) * (1 / z) = K(x,y) / z.
T(K(x,y),z) = R(T(K(x,y),z),u,w).
R(T(K(x,y),z),u,w) = T(K(x,y),z).
L(K(x,y),z,u) * (w * v5) = (L(K(x,y),z,u) * w) * v5.
(L(K(x,y),z,u) * w) * v5 = L(K(x,y),z,u) * (w * v5).
R(R(x / (y / z),u,w),y / z,z) * y = ((y / z) * R((y / z) \ x,u,w)) * z.
R((x * y) / z,u,w) * z = ((z / y) * R((z / y) \ x,u,w)) * y.
((x / y) * R((x / y) \ z,u,w)) * y = R((z * y) / x,u,w) * x.
x * y != R(z / u,w,v5) * u | (u * R(u \ z,w,v5)) / y = x.
(x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w).
R(R(x,y,y \ z),u,w) * z = (R(x,u,w) * y) * (y \ z).
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z.
R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u.
R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z.
x * T(T(y,x),z) != u | T(y,z) * x = u.
(x \ y) * z != y | T(x,x \ y) = z.
(K(x,y) * z) \ (K(x,y) * u) != w | w = z \ u.
(K(x,y) * z) \ (K(x,y) * u) != w | z \ u = w.
(x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u.
(x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w.
x != (y \ 1) * R((y \ 1) \ 1,z,u) | x = y \ R(y,z,u).
R(x,y,z) * (x \ 1) = x \ R(x,y,z).
(x * y) / L(T(z,z \ y),z \ y,x) = x * (z \ y).
L(x,y,1) = x.
x != L(y,z,1 / z) | x = (1 / z) * (z * y).
R((1 / x) * y,z,u) = (1 / x) * (x * R(x \ y,z,u)).
(1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u).
x * y != L(R(z \ u,w,v5),z,1 / z) | x \ R((1 / z) * u,w,v5) = y.
(1 / x) \ R((1 / x) * y,z,u) = x * R(x \ y,z,u).
(1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z).
(1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z).
(1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y).
(1 / (x / y)) * ((y / x) * (x / y)) = R(1 / (x / y),x / y,y).
L(x,y,K(z,u)) != w | w = x.
x * y != ((1 / z) * z) * u | u / y = x.
K(x,1 / x) / (1 / x) = x.
x * y != ((1 / z) * z) * u | x \ u = y.
((1 / x) * (x * y)) \ y = a(1 / x,x,y).
((1 / x) * x) \ y != z | z = y.
L(x,y,1 / y) \ x = a(1 / y,y,x).
(x * (x \ y)) \ z = y \ z.
(x * ((y * x) \ (y * z))) / x = L(z / x,x,y).
((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x).
(x * R(y,z,u)) / x = R((x * y) / x,z,u).
R(x / y,z,u) * y != w | w = y * R(y \ x,z,u).
R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w.
((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u.
(x * (y * z)) / x = R((x * (y / (1 / z))) / x,1 / z,z).
R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x.
x != y / y | x = 1.
R(1,x,y) = 1.
(K(x,y) * z) / u = K(x,y) * (z / u).
((x / y) * y) * z != u | u = x * z.
((x / y) * y) * z != u | x * z = u.
(x * y) / y != z | z = x.
x / (y \ x) != z | z = y.
(x * T(y,x)) / x != z | z = y.
((x * y) * z) / (y * z) != u | u = R(x,y,z).
((x * y) * z) / (y * z) != u | R(x,y,z) = u.
(x / y) * y != z * u | z \ x = u.
T(x * y,z) = L(T((x \ 1) \ y,z),x \ 1,x).
L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z).
((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y.
R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y.
(1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x.
(1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x.
(x / (y * (y \ z))) * z = x.
x * (y * (y \ z)) = u * (u \ (x * z)).
x * (x \ (y * z)) = y * (u * (u \ z)).
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
x * (y * (y \ z)) != u | u = x * z.
x * (y * (y \ z)) != u | x * z = u.
(x \ x) * y = y.
x * (y \ y) = x.
(K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w).
x != (K(y,z) * u) / w | x = K(y,z) * (u / w).
R(K(x,y) * z,u,w) = K(x,y) * (((z * u) * w) / (u * w)).
K(x,y) * (((z * u) * w) / (u * w)) = R(K(x,y) * z,u,w).
K(x,y) * R(z,u,w) = R(K(x,y) * z,u,w).
K(x,y) * R(T(z,K(x,y)),u,w) = R(z * K(x,y),u,w).
x != y * R(T(z,y),u,w) | x = R(z,u,w) * y.
R(x * K(y,z),u,w) = R(x,u,w) * K(y,z).
R(x,y,z) * K(u,w) = R(x * K(u,w),y,z).
((x / y) * y) * z != u * w | (x * z) / w = u.
R(x / y,y,y \ 1) != z | x * (y \ 1) = z.
(x * (y \ (y / z))) / x = L((x * (z \ 1)) / x,z,y / z).
L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x.
(x * (y \ (z * u))) / x = L((x * ((z \ y) \ u)) / x,z \ y,z).
L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x.
(x * T(y,z)) / x = T((x * y) / x,z).
x * ((y * T(z,x)) / y) = ((y * z) / y) * x.
((x * y) * T(L(z,y,x),u)) / (x * y) = T((x * (y * z)) / (x * y),u).
(x * (y \ z)) / x = T((x * (z / y)) / x,y).
T((x * (y / z)) / x,z) = (x * (z \ y)) / x.
x * y != (z * u) * K(K(z,u),u * z) | (K(z,u) * (u * z)) / y = x.
(K(x,y) * (y * x)) / K(x * y,K(K(x,y),y * x)) = K(K(x,y),y * x) * (x * y).
K(K(x,y),y * x) * (x * y) = K(x,y) * ((y * x) / K(x * y,K(K(x,y),y * x))).
K(x,y) * ((y * x) / K(x * y,K(K(x,y),y * x))) = K(K(x,y),y * x) * (x * y).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
(T(x,y) * z) * R((z * T(T(x,z),y)) \ u,w,v5) = z * (T(T(x,z),y) * R(T(T(x,z),y) \ (z \ u),w,v5)).
x * (T(T(y,x),z) * R(T(T(y,x),z) \ (x \ u),w,v5)) = (T(y,z) * x) * R((x * T(T(y,x),z)) \ u,w,v5).
R(R(x,y,K(y,x)),z,u) * (y * K(y,x)) = (y * K(y,x)) * R((y * K(y,x)) \ (y * x),z,u).
(x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)).
x != R(R(y,z,u),w,v5) * (z * u) | x = (R(y,w,v5) * z) * u.
(x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y).
R((x \ 1) / y,y,x) = K(x \ 1,x) / (y * x).
x * K(x \ 1,x) = L(x,x \ 1,x).
R(R(x,y \ 1,y),z,u) * K(y \ 1,y) = (R(x,z,u) * (y \ 1)) * y.
K(x,y) \ (K(x,y) / z) = 1 / z.
x * y != z / (u \ z) | x \ u = y.
K(x,y) \ z = 1 / (z \ K(x,y)).
1 / (x \ K(y,z)) = K(y,z) \ x.
R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x).
L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x).
L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z).
L((x \ 1) \ 1,x \ 1,y * x) = R(y,x,x \ 1) \ (y * x).
L(x \ 1,x,R(y / x,z,u)) = (x * R(x \ y,z,u)) \ R(y / x,z,u).
(x * R(x \ y,z,u)) \ R(y / x,z,u) = L(x \ 1,x,R(y / x,z,u)).
(x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)).
x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x.
(x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z.
T(x,K(y,z)) = (K(y,z) \ x) * K(y,z).
(K(x,y) \ z) * K(x,y) = T(z,K(x,y)).
(K(x,y) * (z * (u * w))) \ ((K(x,y) * (z * u)) * w) = a(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).
(x * (y * z)) \ ((x * y) * z) = a(K(u,w) * x,y,z).
a(K(x,y) * z,u,w) = (z * (u * w)) \ ((z * u) * w).
x != (y * (z * u)) \ ((y * z) * u) | x = a(y,z,u).
a(K(x,y) * z,u,w) = a(z,u,w).
a(T(x,y),z,u) = a(x,z,u).
x * y != (z * (z \ 1)) * u | u / y = x.
L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z).
x * y != (z * (z \ 1)) * u | x \ u = y.
(x * ((x \ 1) * y)) \ y = a(x,x \ 1,y).
R((x \ 1) * x,K(x,x \ 1),y) \ y = K(x,x \ 1) * y.
L(x,y \ 1,y) \ x = a(y,y \ 1,x).
K(x,y) = K(y \ (y * x),y).
K(x \ (x * y),x) = K(y,x).
K(x,y) = K(z \ (z * x),y).
K(x \ (x * y),z) = K(y,z).
K((x / y) \ x,z) = K(y,z).
x \ (y * (x / y)) != z | K(y,x / y) = z.
L(T(x,y),y,x) = T(x,x * y).
x * T(y,y * x) = L(y,x,y) * x.
(x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y).
(x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)).
x != y * L(T(z,y),u,w) | x = L(z,u,w) * y.
x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y).
(x / y) * (y * L(T(x / y,y),z,u)) = L(x / y,z,u) * x.
x * (L(x,y,z) * u) = L(x,y,z) * (x * u).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
L(x,y,z) \ x = x * (L(x,y,z) \ 1).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
x * (L(x,y,z) * u) != L(x,y,z) * w | x * u = w.
L(x,y,z) * u != x * (L(x,y,z) * w) | x * w = u.
x != (y * z) * R(L(u,z,y),w,v5) | x = y * (z * R(u,w,v5)).
R(x,y,z) * (x * u) = x * (u * R(T(x,u),y,z)).
x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y).
x * (R(x,y,z) * u) = R(x,y,z) * (x * u).
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
R(x,y,z) * u = x * (R(x,y,z) * (x \ u)).
x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u.
x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u).
R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u.
x * y != z * (u * (u \ w)) | (z * w) / y = x.
(x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u).
x * y != z * (u * (u \ w)) | x \ (z * w) = y.
R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u).
R(x,y,z) \ x = x * (R(x,y,z) \ 1).
x * (R(x,y,z) \ 1) = R(x,y,z) \ x.
(x * (y * (x * z))) / (x * (z * T(y,x * z))) = R(x,z,T(y,x * z)).
((1 / x) * y) / ((1 / x) * (x * y)) = R(1 / x,x,y).
(x * (y * (x * z))) / (L(y,z,x) * (x * z)) = R(x,z,T(y,x * z)).
((1 / x) * y) / L(y,x,x \ 1) = R(1 / x,x,y).
x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
(x * y) * R((x * y) \ (x * z),u,w) = (x * y) * R(L(y \ z,y,x),u,w).
(x * y) * R(L(y \ z,y,x),u,w) = (x * y) * R((x * y) \ (x * z),u,w).
(x * y) * L(R(y \ z,u,w),y,x) = (x * y) * R((x * y) \ (x * z),u,w).
(x * y) * R((x * y) \ (x * z),u,w) = (x * y) * L(R(y \ z,u,w),y,x).
(x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5.
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).
x * R(y,z,u) = (R(y,z,u) * x) * K(x,y).
(R(x,y,z) * u) * K(u,x) = u * R(x,y,z).
K(x,R(y,z,u)) = K(x,y).
K(x,L(R(y,z,u),w,v5)) = K(x,L(y,w,v5)).
K(x,(y * z) / u) = K(x,y / (u / z)).
K(x,T(y * z,u)) = K(x,T(y / (1 / z),u)).
K(x,T(y / (1 / z),u)) = K(x,T(y * z,u)).
K(x,T((y * z) / (u * z),w)) = K(x,T(y / u,w)).
K(x,y \ 1) = K(x,1 / y).
K(x,1 / y) = K(x,y \ 1).
K(x,T((y * z) / u,w)) = K(x,T(y / (u / z),w)).
x != K(y,1 / y) | x = y * (1 / y).
K(x,x \ 1) = x * (1 / x).
x * (1 / x) = K(x,x \ 1).
K(x,y) = K(x,(y \ 1) \ 1).
K(x,(y \ 1) \ 1) = K(x,y).
x != K(y,z) | x = K(y,R(z,u,w)).
K(x,(y \ 1) \ 1) = K(x,R(y,z,u)).
K(x,R(y,z,u)) = K(x,(y \ 1) \ 1).
x != K(y,z) | x = R(K(y,z),u,w).
K(x,(y \ 1) \ 1) = R(K(x,y),z,u).
R(K(x,y),z,u) = K(x,(y \ 1) \ 1).
R(K(x \ 1,x),K(x,x \ 1),y) \ y = K(x,x \ 1) * y.
K(x \ 1,x) \ y = K(x,x \ 1) * y.
x * y != z \ (z * u) | u / y = x.
x / (K(y \ 1,y) * x) = K(y,y \ 1).
K(x \ 1,x) * (K(x,x \ 1) * y) = y.
R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z.
((x \ R(x,y,z)) * u) / ((x \ 1) * u) = R(R(x,y,z),x \ 1,u).
x / L(y \ z,y,x / z) = (x / z) * y.
L(x \ 1,x,y) \ K(y \ (y * x),y) = T(L(x \ 1,x,y) \ 1,y).
L(x \ 1,x,y) \ K(x,y) = T(L(x \ 1,x,y) \ 1,y).
T(L(x \ 1,x,y) \ 1,y) = L(x \ 1,x,y) \ K(x,y).
L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y).
(x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)).
(x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)).
(x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)).
(x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)).
x != y * T(T(z,y),u) | x = T(z,u) * y.
x * (y * T(T(x,y),z)) = T(x,z) * (x * y).
x * (T(x,y) * z) = T(x,y) * (x * z).
T(x,y) * (x * z) = x * (T(x,y) * z).
T(x,y) * z = x * (T(x,y) * (x \ z)).
x * (T(x,y) * (x \ z)) = T(x,y) * z.
x \ (T(x,y) * z) = T(x,y) * (x \ z).
x != y * (z * (z \ u)) | x = y * u.
T(x,y) * (x * (T(x,y) \ z)) = x * z.
T(x,y) \ (x * z) = x * (T(x,y) \ z).
T(x,y) \ x = x * (T(x,y) \ 1).
x * (T(x,y) \ 1) = T(x,y) \ x.
T(x / y,z) * x = (x / y) * (T(x / y,z) * y).
(x / y) * (T(x / y,z) * y) = T(x / y,z) * x.
T(x,y) * (z * x) = x * (T(x,y) * T(z,x)).
x * (T(x,y) * T(z,x)) = T(x,y) * (z * x).
(x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z).
(x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z).
T(x,y) \ z = x * (T(x,y) \ (x \ z)).
x * (T(x,y) \ (x \ z)) = T(x,y) \ z.
x \ y = T(x,z) * (x \ (T(x,z) \ y)).
T(x,y) * (x \ (T(x,y) \ z)) = x \ z.
(x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z).
((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z).
(x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z).
(x / y) * z = (y \ x) * ((x / y) * ((y \ x) \ z)).
(x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z.
(x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z).
(x \ y) \ (y / x) = (y / x) * ((x \ y) \ 1).
(x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y).
(x \ y) \ z = (y / x) * ((x \ y) \ ((y / x) \ z)).
(x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z.
(x / y) \ ((y \ x) \ z) = (y \ x) \ ((x / y) \ z).
(x / y) * (y * T(y \ x,z)) = T(x / y,z) * x.
x * y != z * 1 | x \ z = y.
(1 / x) \ T(1 / x,y) = x * T(x \ 1,y).
1 * x != y * z | x / z = y.
(1 * x) / y != z | z = x / y.
(1 * x) / y != z | x / y = z.
((x / y) * y) / z != u | x / z = u.
R((x / y) / z,z,y) != u | x / (z * y) = u.
(x \ 1) / (1 / x) = (x \ 1) * x.
x != (y \ 1) * y | x = K(y \ 1,y).
(x \ 1) / (1 / x) = K(x \ 1,x).
K(x \ 1,x) * (1 / x) = x \ 1.
K(x \ 1,x) \ (x \ 1) = 1 / x.
x != K(y \ 1,y) \ z | x = K(y,y \ 1) * z.
1 / x = K(x,x \ 1) * (x \ 1).
K(x,x \ 1) * (x \ 1) = 1 / x.
(1 / x) * y = K(x,x \ 1) * ((x \ 1) * y).
K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y.
(1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y.
x != (y / z) * ((z \ y) \ ((y / z) \ u)) | x = (z \ y) \ u.
K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y.
(x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y.
x != (1 / y) * R((1 / y) \ z,u,w) | x = R(z * y,u,w) / 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.
(x \ 1) * R((x \ 1) \ y,z,u) = R(y * x,z,u) / x.
x != (y \ 1) * R((y \ 1) \ z,u,w) | x = y \ R(y * z,u,w).
R(x * y,z,u) / y = y \ R(y * x,z,u).
x != R(y * z,u,w) / z | x = (1 / z) * R((1 / z) \ y,u,w).
x \ R(x * y,z,u) = (1 / x) * R((1 / x) \ y,z,u).
(1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u).
(x \ R(x * y,z,u)) * x = R(y * x,z,u).
R(x,y,z) / u = u \ R(u * (x / u),y,z).
x \ R(x * (y / x),z,u) = R(y,z,u) / x.
x \ R(x,y,z) = R(x,y,z) / x.
R(x,y,z) / x = x \ R(x,y,z).
x * (R(x,y,z) / x) = R(x,y,z).
(x \ R(x,y,z)) * x = R(x,y,z).
(1 / x) * y != R(1 / x,x,z) | y = (z / (x * z)) * x.
R(1 / x,x,y) / (1 / x) = (y / (x * y)) * x.
x \ R(x,y,z) != u | u = R(x,y,z) / x.
x \ R(x,y,z) != u | R(x,y,z) / x = u.
R(x,y,z) / x != u | u = x \ R(x,y,z).
R(x,y,z) / x != u | x \ R(x,y,z) = u.
(R(x,y,z) * (x \ 1)) * x = R(x,y,z).
(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).
(1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = y.
(x \ 1) * y = (1 / x) * (K(x \ 1,x) * y).
(1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y.
(1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y.
(x / y) * z != u * (u \ x) | z = y.
K(x \ 1,x) * ((x \ 1) \ 1) = x.
((x * (1 / y)) * (K(y \ 1,y) * z)) / ((y \ 1) * z) = R(x,1 / y,K(y \ 1,y) * z).
a(x,y,z) = a((x \ 1) \ 1,y,z).
a((x \ 1) \ 1,y,z) = a(x,y,z).
R(x \ 1,y,z) / R(1 / x,y,z) = K(x \ 1,x).
(x \ y) / ((y \ x) \ 1) = (y \ x) * L((y \ x) \ 1,y \ x,y).
(x \ y) * L((x \ y) \ 1,x \ y,x) = (y \ x) / ((x \ y) \ 1).
L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y).
T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y).
R(R(x,y,z) \ R(R(x,y,z),u,w),R(x,y,z),y * z) = (R(R(x,y,z),u,w) * (y * z)) / ((x * y) * z).
R(R(x,y,z) \ R(R(x,y,z),u,w),R(x,y,z),y * z) = ((R(x,u,w) * y) * z) / ((x * y) * z).
T(((x * y) * z) / (x * z),x * y) = R(L(y,x,(x * y) / x),x,z).
x != R(L(y,z,u),w,v5) | x = L(R(y,w,v5),z,u).
T(((x * y) * z) / (x * z),x * y) = L(R(y,x,z),x,(x * y) / x).
x != T((y * z) / y,y) | x = z.
L(R(x,y,x),y,(y * x) / y) = x.
T((x * y) * (x \ 1),x * y) = L(R(y,x,x \ 1),x,(x * y) / x).
L(R(x,y,y \ 1),y,(y * x) / y) = T((y * x) * (y \ 1),y * x).
x != L(y,z,(u * w) / u) | x = L(y,z,w).
x = L(R(x,y,x),y,x).
L(R(x,y,x),y,x) = x.
x != L(R(y,z,u),w,v5) | x = R(L(y,w,v5),z,u).
x = R(L(x,y,x),y,x).
R(L(x,y,x),y,x) = x.
x * (y * x) = (L(x,y,x) * y) * x.
(L(x,y,x) * y) * x = x * (y * x).
K(x,y) = K(x,L(y,z,y)).
K(x,L(y,z,y)) = K(x,y).
K(x,T(y / z,y)) = K(x,z \ y).
x != K(y,T((z * u) / (w * u),v5)) | x = K(y,T(z / w,v5)).
K(x,(y * z) \ (u * z)) = K(x,T(u / y,u * z)).
K(x,T(y / z,y * u)) = K(x,(z * u) \ (y * u)).
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,a(R(y,z,u),z,u)) = K(x,T(R(y,z,u) / y,(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 != T(y / (1 / z),u) * (1 / z) | x = T(y * z,u) / z.
(1 / x) * T(y,z) = T(((1 / x) * y) * x,z) / x.
T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z).
(x * T(y,z)) / x != u | u = T((x * y) / x,z).
(x * T(y,z)) / x != u | T((x * y) / x,z) = u.
x * y != y * T(z,u) | x = T((y * z) / y,u).
L(x,y,x) = T((y * x) / y,x * y).
T((x * y) / x,y * x) = L(y,x,y).
((x / y) \ x) \ z = y \ z.
((x * y) \ x) \ z = L(y \ 1,y,x) \ z.
L(x \ 1,x,y) \ z = ((y * x) \ y) \ z.
x * y != (1 / z) * L(z,u,w) | x \ (L(z,u,w) / z) = y.
L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)).
(1 / x) * (L(x,y,z) * T(u,L(x,y,z) / x)) = L(u,L(x,y,z),1 / x) * ((1 / x) * L(x,y,z)).
L(x,L(y,z,u),1 / y) * ((1 / y) * L(y,z,u)) = (1 / y) * (L(y,z,u) * T(x,L(y,z,u) / y)).
x * y != ((z / u) * u) * w | x \ (z * w) = y.
((x / y) * z) \ (x * (y \ z)) = a(x / y,y,y \ z).
a(x / y,y,y \ z) = ((x / y) * z) \ (x * (y \ z)).
x * y != L(T((z \ 1) \ u,w),z \ 1,z) | x \ T(z * u,w) = y.
x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
(x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y).
(x * (y / z)) \ ((y / z) * u) = L(T(x,y / z) \ u,T(x,y / z),z \ y).
L(T(x,y / z) \ u,T(x,y / z),z \ y) = (x * (y / z)) \ ((y / z) * u).
R(x \ 1,x,y) = R(y / (x * y),x,x \ 1).
R(x / (y * x),y,y \ 1) = R(y \ 1,y,x).
R(x / y,y / x,(y / x) \ 1) = R((y / x) \ 1,y / x,x).
(x * (y * (z \ 1))) / x = R((x * (y / z)) / x,z,z \ 1).
R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x.
K(x,y * (z \ 1)) = K(x,y / z).
x * y != T(z / (u * z),u) | R(u \ 1,u,z) / y = x.
R(x \ 1,x,y) / (y / (x * y)) = K(x \ (x / (1 / (y / (x * y)))),x).
K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)).
x * y != z \ z | x \ 1 = y.
T(x,y) \ 1 = x \ (T(x,y) \ x).
x \ (T(x,y) \ x) = T(x,y) \ 1.
x \ ((y / ((x \ 1) * y)) * z) = R(x,x \ 1,y) * (x \ z).
T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)).
(1 / x) * R(x,y,z) = R(x,y,z) / x.
x * y != R(1 / z,z,u) / (1 / z) | ((u / (z * u)) * z) / y = x.
((x / (y * x)) * y) / R(1 / y,y,x) = 1 / (1 / y).
((1 / x) * R(x,y,z)) * x = R(x,y,z).
(x * K(y,z)) \ (K(y,z) * x) = K(K(y,z),K(y,z) * x).
K(K(x,y),z) = K(K(x,y),K(x,y) * z).
K(K(x,y),K(x,y) * z) = K(K(x,y),z).
K(K(x,y),z) = K(K(x,y),K(x,y) \ z).
K(K(x,y),K(x,y) \ z) = K(K(x,y),z).
(L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)).
(L(x,y,z) * (z * y)) * a(z,y,T(x,z * y)) = x * (z * y).
x \ T(x,y) = K(y \ (y / (x \ 1)),y).
K(x \ (x / (y \ 1)),x) = y \ T(y,x).
((1 / x) * x) * y != z * u | y / u = z.
x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)).
x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u).
x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u).
x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y).
(x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y).
x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z).
x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y).
(x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y).
x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y).
x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z).
(x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
(x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u).
R(x / (y * z),u,w) = R(R((x / z) / y,u,w),y,z).
R(R((x / y) / z,u,w),z,y) = R(x / (z * y),u,w).
K(x,y / (z * u)) = K(x,(y / u) / z).
K(x,(y / z) / u) = K(x,y / (u * z)).
T((x * y) / z,z / y) = R((z / y) \ x,z / y,y).
R((x / y) \ z,x / y,y) = T((z * y) / x,x / y).
T(x / (y * z),y) = R(y \ (x / z),y,z).
R(x \ (y / z),x,z) = T(y / (x * z),x).
x * T(y,y \ z) = ((y \ z) \ z) * T(x,T(y,y \ z)).
((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y).
x != T(y,z) \ (y * z) | x = T(z,T(y,z)).
x * (T(x,y) \ y) = T(y,T(x,y)).
(x / y) * ((y \ x) \ y) = T(y,T(x / y,y)).
(x / y) * ((y \ x) \ y) = T(y,y \ x).
x != (1 / y) * ((y \ 1) \ z) | x = K(y,y \ 1) * z.
T(x,x \ 1) = K(x,x \ 1) * x.
K(x,x \ 1) * x = T(x,x \ 1).
((x * y) / x) * (y \ x) = T(x,x \ (x * y)).
((x * y) / x) * (y \ x) = T(x,y).
T(x,y) / (y \ x) = (x * y) / x.
((x * (x / y)) / x) * y = T(x,x / y).
T(x * y,x) / y = ((x * y) * x) / (x * y).
((x * y) * x) / (x * y) = T(x * y,x) / y.
T(T(x * y,x) / y,x * y) = x.
T(T(x * y,x) / y,y) = R(x,y,T(x,y)).
R(x,y,T(x,y)) = y \ T(x * y,x).
x \ T(y * x,y) = R(y,x,T(y,x)).
L(R(x,y,T(x,y)),y,x) = x.
(x * y) / x = L((x * R(y,z,T(y,z))) / x,z,y).
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.
x \ (L(x,y,z) \ x) = L(x,y,z) \ 1.
(x * R(x \ 1,x,x \ y)) \ R(1 / x,x,x \ y) = L(x \ 1,x,(x \ 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)).
K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)).
T(x,x \ 1) * y = K(x,x \ 1) * (x * y).
K(x,x \ 1) * (x * y) = T(x,x \ 1) * y.
x != T(y,y \ z) * u | x = ((y \ z) \ z) * u.
K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y.
K(x,x \ 1) * (y * x) = T(x,x \ 1) * T(y,x).
T(x,x \ 1) * T(y,x) = K(x,x \ 1) * (y * x).
((x \ 1) \ 1) \ K(x,x \ 1) = x \ 1.
L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u).
K(x,x \ 1) * L(y,x \ 1,x) = ((x \ 1) \ 1) * ((x \ 1) * y).
L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y).
(L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z).
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
x != (y * z) * R((y * z) \ u,w,v5) | x = y * (z * R(z \ (y \ u),w,v5)).
(x * R(x \ y,z,u)) * w = x * (w * R(w \ (x \ (y * w)),z,u)).
x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y.
(x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y.
(x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y.
(x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u).
(x * T(y,z)) * R((x * T(y,z)) \ (y * z),u,w) = (x * R(x \ z,u,w)) * T(y,z).
x != (y * z) * R((y * z) \ z,u,w) | x = z * (T(y,z) * R(T(y,z) \ 1,u,w)).
(x * R(x \ 1,y,z)) * u = u * (T(x,u) * R(T(x,u) \ 1,y,z)).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x.
T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z).
T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y).
(x \ y) * R(T(y / x,x) \ 1,z,u) = T((y / x) * R((y / x) \ 1,z,u),x).
(x \ y) * R((x \ y) \ 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((x \ y) * R((x \ y) \ 1,z,u),w) = T(T((y / x) * R((y / x) \ 1,z,u),w),x).
T(T((x / y) * R((x / y) \ 1,z,u),w),y) = T((y \ x) * R((y \ x) \ 1,z,u),w).
R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x).
x * T(x \ (y * x),z) != u | T(y,z) * x = u.
(x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u.
x / T(y,y \ z) = x / ((y \ z) \ z).
K(1,x) = 1.
x * 1 != y \ (z * 1) | x = y \ z.
K(x \ 1,x) = (1 / x) \ (x \ 1).
(1 / x) \ (x \ 1) = K(x \ 1,x).
x \ R(x,y,y \ 1) = a(x,y,y \ 1).
R(x,y,y \ 1) / x = a(x,y,y \ 1).
R((x \ 1) / (x * (x \ 1)),y,z) / R(1 / x,y,z) = a(R(1 / x,y,z),x,x \ 1).
R(x \ 1,x,y) / (y / (x * y)) = a(y / (x * y),x,x \ 1).
R(x \ 1,y,z) / R(1 / x,y,z) = a(R(1 / x,y,z),x,x \ 1).
a(R(1 / x,y,z),x,x \ 1) = R(x \ 1,y,z) / R(1 / x,y,z).
x != R(y \ 1,z,u) / R(1 / y,z,u) | x = K(y \ 1,y).
a(R(1 / x,y,z),x,x \ 1) = K(x \ 1,x).
a(x / (y * x),y,y \ 1) = K(y \ 1,y).
x != R(y \ 1,y,z) / (z / (y * z)) | x = K(y \ (y / (1 / (z / (y * z)))),y).
a(x / (y * x),y,y \ 1) = K(y \ (y / (1 / (x / (y * x)))),y).
K(x \ (x / (1 / (y / (x * y)))),x) = a(y / (x * y),x,x \ 1).
x != (y / (z \ y)) * u | x = z * u.
T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y).
x * y != (1 / z) * T(z,u) | x \ (T(z,u) / z) = y.
T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)).
(x * R(x \ 1,y,z)) * (1 / x) = R(1 / x,y,z).
(x * R(x \ 1,y,z)) \ R(1 / x,y,z) = 1 / x.
x != (y * R(y \ 1,y,y \ z)) \ R(1 / y,y,y \ z) | x = L(y \ 1,y,(y \ z) / z).
1 / x = L(x \ 1,x,(x \ y) / y).
L(x \ 1,x,(x \ y) / y) = 1 / x.
L((x / y) \ 1,x / y,y / x) = 1 / (x / y).
x != L(y \ 1,y,z) | x = (z * y) \ z.
1 / (x / y) = ((y / x) * (x / y)) \ (y / x).
((x / y) * (y / x)) \ (x / y) = 1 / (y / x).
L((x / (y * x)) \ 1,x / (y * x),y) = 1 / (x / (y * x)).
x / (1 / (y / (x * y))) = x * (y / (x * y)).
K(x \ (x * (y / (x * y))),x) = a(y / (x * y),x,x \ 1).
x != K(y \ (y * z),u) | x = K(z,u).
a(x / (y * x),y,y \ 1) = K(x / (y * x),y).
x != a(y / (z * y),z,z \ 1) | x = K(z \ 1,z).
K(x / (y * x),y) = K(y \ 1,y).
K(1 / x,x) = K(x \ 1,x).
K(x / y,y / x) = K((y / x) \ 1,y / x).
K((x / y) \ 1,x / y) = K(y / x,x / y).
K(x,x \ 1) = K((x \ 1) \ 1,x \ 1).
K((x \ 1) \ 1,x \ 1) = K(x,x \ 1).
(x / y) * (y * L(y \ x,z,u)) = L(x / y,z,u) * x.
((x * y) / x) \ (y \ z) = (x \ (x * y)) \ (((x * y) / x) \ z).
(x \ (x * y)) \ (((x * y) / x) \ z) = ((x * y) / x) \ (y \ z).
(x \ (x * y)) \ 1 = ((x * y) / x) \ (y \ ((x * y) / x)).
((x * y) / x) \ (y \ ((x * y) / x)) = (x \ (x * y)) \ 1.
((x * y) / x) \ (y \ ((x * y) / x)) = y \ 1.
K(x / y,y / x) \ z = K(y / x,(y / x) \ 1) * z.
K(x / y,(x / y) \ 1) * z = K(y / x,x / y) \ z.
x * ((1 / x) * T((1 / x) \ 1,y)) = K(x,1 / x) * T(K(x,1 / x) \ (K(x,1 / x) / (1 / x)),y).
K(x,1 / x) * T(K(x,1 / x) \ (K(x,1 / x) / (1 / x)),y) = x * ((1 / x) * T((1 / x) \ 1,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).
K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x).
R(K(x,y),z,u) \ (w * (K(x,y) * v5)) = v5 * T(w,K(x,y) * v5).
x != R(y,z,u) \ ((y * z) * u) | x = z * u.
x * T(K(y,z) * u,K(y,z) * x) = u * (K(y,z) * x).
x != R(y / z,u,w) * z | x = z * R(z \ y,u,w).
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).
x * R((K(y,z) * x) \ (K(y,z) * u),w,v5) = (K(y,z) * x) * R((K(y,z) * x) \ u,w,v5).
(K(x,y) * z) * R((K(x,y) * z) \ u,w,v5) = z * R((K(x,y) * z) \ (K(x,y) * u),w,v5).
(K(x,y) * z) * R((K(x,y) * z) \ u,w,v5) = z * R(z \ u,w,v5).
x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)).
(x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z).
(x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z).
(x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x).
K(x,(x / y) / x) = y * ((x * (y \ 1)) / x).
(L(x / y,z,u) * y) * w = (y * w) * L((y * w) \ (x * w),z,u).
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
x != (y * z) * L((y * z) \ u,w,v5) | x = y * (z * L(z \ (y \ u),w,v5)).
(L(x / y,z,u) * y) * w = y * (w * L(w \ (y \ (x * w)),z,u)).
x * (y * L(y \ (x \ (z * y)),u,w)) = (L(z / x,u,w) * x) * y.
(x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y.
(x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y.
x != (y * z) * L((y * z) \ y,u,w) | x = y * (z * L(z \ 1,u,w)).
(x * L(x \ 1,y,z)) * x = x * (x * L(x \ 1,y,z)).
(x * L(x \ 1,y,z)) * u = x * (u * L(u \ (x \ u),y,z)).
x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y.
(x * y) * T(K(y,x),z) = x * (y * T(y \ T(y,x),z)).
x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z).
x * y != R(z,u,w) * x | y = R(T(z,x),u,w).
T(x,y) = R(T(x,x * y),y,T(x,y)).
R(T(x,x * y),y,T(x,y)) = T(x,y).
R(T(x,y),x \ y,T(x,x \ y)) = T(x,x \ y).
K(x,T(y,z)) = K(x,T(y,y * z)).
K(x,T(y,y * z)) = K(x,T(y,z)).
T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y).
(T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y).
K(x,T(y,z)) = K(x,T(y,y \ z)).
K(x,T(y,y \ z)) = K(x,T(y,z)).
(T(x / y,z) * y) * u = (y * u) * T((y * u) \ (x * u),z).
(x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y.
(x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y.
x != (y * z) * T((y * z) \ u,w) | x = y * (z * T(z \ (y \ u),w)).
(x * T(x \ y,z)) * u = x * (u * T(u \ (x \ (y * u)),z)).
x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y.
x * y != (z * u) * T((z * u) \ (w * u),v5) | x \ ((z * T(z \ w,v5)) * u) = y.
x \ ((y * T(y \ x,z)) * u) = (x \ (y * u)) * T((x \ (y * u)) \ u,z).
(x \ (y * z)) * T((x \ (y * z)) \ z,u) = x \ ((y * T(y \ x,u)) * z).
(x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y.
x != (y * z) * T((y * z) \ y,u) | x = y * (z * T(z \ 1,u)).
(x * T(x \ 1,y)) * x = x * (x * T(x \ 1,y)).
(x * T(x \ 1,y)) * z = x * (z * T(z \ (x \ z),y)).
x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y.
x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y.
(x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y).
x * (y \ T(y * (x \ (y \ 1)),z)) = (x * T(x \ 1,z)) * (y \ 1).
x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x.
((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y).
((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x).
x != ((y * (y / z)) / y) * z | x = T(y,y / z).
x * ((y * (x \ y)) / y) = T(y,y / x).
(x / y) * ((x * y) / x) = T(x,x / (x / y)).
(x / T(y,x)) * y = T(x,x / (x / T(y,x))).
T(x,x / (x / T(y,x))) = (x / T(y,x)) * y.
(T(x,x \ y) * R(T(x,x \ y) \ z,u,w)) * v5 = ((x \ y) \ y) * (v5 * R(v5 \ (T(x,x \ y) \ (z * v5)),u,w)).
((x \ y) \ y) * (z * R(z \ (T(x,x \ y) \ (u * z)),w,v5)) = (T(x,x \ y) * R(T(x,x \ y) \ u,w,v5)) * z.
T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z).
x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x).
x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y.
(x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)).
x * ((y \ (x \ (z * y))) * y) = (x * T(x \ z,y)) * y.
(x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z.
((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)).
((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)).
x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y.
(x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)).
(x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y.
x != (y \ 1) * (y * T(y \ ((y \ 1) \ z),u)) | x = K(y \ 1,y) * T(K(y \ 1,y) \ z,u).
(x \ T(x * (y / x),z)) * x = K(x \ 1,x) * T(K(x \ 1,x) \ y,z).
K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x.
K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x.
(x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)).
(x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z.
x \ (y * K(z \ (z / (y \ x)),z)) = T(x \ y,z).
x * y != z * K(u \ (u / (z \ w)),u) | x \ (w * T(w \ z,u)) = y.
x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z).
K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)).
(x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z).
(x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u).
K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)).
K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)).
K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z).
K(x \ (x / T(y,z)),x) = T(y * T(y \ 1,x),z).
T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y).
x != K(y \ (y / z),y) | x = z * T(z \ 1,y).
T(x * T(x \ 1,y),z) = T(x,z) * T(T(x,z) \ 1,y).
T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y).
T((x \ 1) * x,y) = K(x \ (x / T(x,y)),x).
K(x \ (x / T(x,y)),x) = T((x \ 1) * x,y).
T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y).
x != (y * z) * T((y * z) \ (y * u),w) | x = y * (z * T(z \ u,w)).
(x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)).
(x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))).
L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y).
L(x * T(x \ 1,y),z,u) = L(x,z,u) * T(L(x,z,u) \ 1,y).
L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z).
L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)).
((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y.
((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z).
x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y).
(((x * (1 / y)) / x) * y) * z = (y * z) * ((x * ((y * z) \ z)) / x).
(x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y.
((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z).
(x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y.
T(T(x,x * y) * y,T(x,y)) = x * y.
((x \ y) * T((x \ y) \ 1,y)) * y = (x \ y) * ((y \ T(x,x \ y)) * y).
(x \ y) * ((y \ T(x,x \ y)) * y) = ((x \ y) * T((x \ y) \ 1,y)) * y.
(x \ y) * ((y \ T(x,x \ y)) * y) = (x \ ((y \ x) * y)) * y.
(x \ y) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y.
(x * y) / y = R(x,y,1).
R(x,y,1) = x.
R(x,y,1) != z | z = x.
L(T(x,y),y,1 / y) != z | z = (1 / y) * (x * y).
L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z.
(1 / x) * ((x \ y) * x) = T((1 / x) * y,x).
x * y != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x.
((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z).
((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z.
((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y.
((x * y) / x) / y = (1 / y) * ((x * ((1 / y) \ 1)) / x).
(1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x.
(1 / x) * ((y * x) / y) = ((y * x) / y) / x.
((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x).
T(x / y,y) != z | z = y \ x.
T(x / y,y) != z | y \ x = z.
T(T(x,y),z) != u | u = T(T(x,z),y).
T(T(x,y),z) != u | T(T(x,z),y) = u.
T(x,x \ y) != z | (x \ y) \ y = z.
x * K(x \ (x / T(x,y)),x) = T(x,y) * ((T(x,y) \ 1) * x).
T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x).
x != y * ((y \ 1) * z) | x = L(z,y \ 1,y).
x * K(x \ (x / T(x,y)),x) = L(x,T(x,y) \ 1,T(x,y)).
L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x).
T(x / y,z) * y != u | u = y * T(y \ x,z).
T(x / y,z) * y != u | y * T(y \ x,z) = u.
T(T(x / y,z),y) != u | u = T(y \ x,z).
T(T(x / y,z),y) != u | T(y \ x,z) = u.
(x * y) * T(K(y,x),z) = (y * x) * K(z \ (z / K(x,y)),z).
(x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z).
(x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z).
(x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z).
K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y).
x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)).
x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z).
x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z).
x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y).
x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y).
x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y).
(x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z).
x != (y * z) * ((u * ((y * z) \ z)) / u) | x = (y * ((u * (y \ 1)) / u)) * z.
x * K(y,(y / T(z,x)) / y) = (z * ((y * (z \ 1)) / y)) * x.
(x * ((y * (x \ 1)) / y)) * z = z * K(y,(y / T(x,z)) / y).
T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y).
x != K(y,(y / z) / y) | x = z * ((y * (z \ 1)) / y).
T(x * ((y * (x \ 1)) / y),z) = T(x,z) * ((y * (T(x,z) \ 1)) / y).
T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y).
T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y).
x * y != L(L((z \ u) \ w,v5,v6),z \ u,z) | x \ L(u \ (z * w),v5,v6) = y.
x \ L(1 \ (x * y),z,u) = (x \ 1) * L((x \ 1) \ y,z,u).
(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) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z).
T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y.
(T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y.
((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x.
x != T((y * z) / y,u) * y | x = y * T(z,u).
((x / y) * T((x / y) \ x,z)) * y = x * T(y,z).
((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u).
x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x.
(x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u).
((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x).
(x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y.
((L(x,y,z) * (z * y)) * T(a(z,y,T(x,z * y)),u)) / (z * 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)) / (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).
((x / y) * T(y,z)) * y = x * T(y,z).
x * y != z * T(u,z) | (u * z) / y = x.
(x * y) / x = (y / x) * T(x,y).
(x / y) * T(y,x) = (y * x) / y.
(x * T(y,z)) * y = (x * y) * T(y,z).
x / T(x,y) = (1 / T(x,y)) * x.
(1 / T(x,y)) * x = x / T(x,y).
x * y = ((x / T(y,z)) * y) * T(y,z).
((x / T(y,z)) * y) * T(y,z) = x * y.
x != y * T(z,y) | x = z * y.
(x * T(y,x * y)) * y = y * (x * y).
(x * y) * x = (y * x) * T(x,y).
(x * y) * T(y,x) = (y * x) * y.
(x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y).
(x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z).
(x * y) \ ((y * x) * y) = T(y,x).
R((x * y) / x,x,T(y,x)) = ((y * x) * y) / (y * x).
x != ((y * z) * y) / (y * z) | x = T(y * z,y) / z.
R((x * y) / x,x,T(y,x)) = T(y * x,y) / x.
x * y != z * T(y,u) | (x / T(y,u)) * y = z.
x * T(y,z) != u * y | (u / T(y,z)) * y = x.
x != (y * z) \ ((u * y) * z) | x = R(T(u,y * z),y,z).
T(x,y) = R(T(x,y * x),y,x).
R(T(x,y * x),y,x) = T(x,y).
x * y != y * (z * y) | x = L(y,z,y) * z.
x * T(y,x * y) = L(y,x,y) * x.
x * y != L(z,x,z) * x | y = T(z,z * x).
T(x,y * x) = T(x,x * y).
T(x,y) = T(x,x * (y / x)).
T(x,x * (y / x)) = T(x,y).
K(x,T(y,z * y)) = K(x,T(y,z)).
x != T(y,y * z) | x = L(T(y,z),z,y).
T(x,y) = L(T(x,y / x),y / x,x).
L(T(x,y / x),y / x,x) = T(x,y).
R(T(x,y),y / x,x) = T(x,y / x).
x * R(T(y,x * y),x,y) = y * x.
R(T(x,x * y),y,x) = T(x,y).
(((x / y) \ z) * (x / y)) * y = x * T(x \ (z * y),x / y).
(x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x).
(L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y).
K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y).
x != (y * z) * T(L(u,z,y),w) | x = y * (z * T(u,w)).
(L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)).
(x * (y * T(y \ 1,x))) \ (x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x))) = (L(y \ 1,y,x) \ (L(y \ 1,y,x) * x)) \ 1.
(x * (y * T(y \ 1,x))) \ (x \ (x * (y * T(y \ 1,x)))) = (L(y \ 1,y,x) \ (L(y \ 1,y,x) * x)) \ 1.
(x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = (L(y \ 1,y,x) \ (L(y \ 1,y,x) * x)) \ 1.
(L(x \ 1,x,y) \ (L(x \ 1,x,y) * y)) \ 1 = (y * (x * T(x \ 1,y))) \ (x * T(x \ 1,y)).
x \ 1 = (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)).
(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.
(x * K(y,x)) * (x \ 1) = K(y,x).
(x * K(y,x)) * (x \ 1) = R(K(y,x),z,u).
R(K(x,y),z,u) = (y * K(x,y)) * (y \ 1).
x * (y \ 1) != R(z,y,y \ 1) | x = z * y.
x * K(y,x) = K(y,x) * x.
K(x,y) * y = y * K(x,y).
T(x,K(y,x)) = x.
x != K(y \ z,y) * y | x = (z \ y) * ((y \ T(z,z \ y)) * y).
x * K(x \ y,x) = (y \ x) * ((x \ T(y,y \ x)) * x).
(x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y).
(x * K(y,x)) * z = K(y,x) * (x * z).
((x * K(y,z)) * z) \ ((x * (z * K(y,z))) * z) = L(z,K(y,z),x).
K(x,y) * T(y,z) = T(y,z) * K(x,y).
T(x,y) * K(z,x) = K(z,x) * T(x,y).
T(x,y * T(y \ 1,x)) = x.
T(x,(x \ 1) * x) = x.
T(x,x \ y) * (z * T(z \ 1,x)) = (z * T(z \ 1,x)) * ((T(x,z * T(z \ 1,x)) \ y) \ y).
(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 \ 1,y)) * ((y \ z) \ z) = T(y,y \ z) * (x * T(x \ 1,y)).
T(x,x \ y) * (z * T(z \ 1,x)) = (z * T(z \ 1,x)) * ((x \ y) \ y).
T(x,x \ ((y * x) / y)) = x.
T(T(x,y),T(x,y) \ x) = T(x,y).
(x \ ((y * x) / y)) * x = (y * x) / y.
((x * y) / x) / y = y \ ((x * y) / x).
x * y != ((z * u) / z) / u | x \ (u \ ((z * u) / z)) = y.
(1 / x) \ (x \ ((y * x) / y)) = (y * x) / y.
x * (((y * x) / y) / x) = (y * x) / y.
(x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y.
(T(x,y) \ x) * T(x,y) = x.
x != y * T(x,z) | T(x,z) \ x = y.
x * T(y,z) != y | T(y,z) \ y = x.
x != (L(y \ 1,y,z) * z) / L(y \ 1,y,z) | x = z * (y * T(y \ 1,z)).
(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 != T(R(y,z,u),w) | x = R(T(y,w),z,u).
T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z).
T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u).
T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y).
R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x).
R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y).
T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y).
(x \ (y \ z)) \ (((y * x) \ z) \ (x \ (y \ z))) = L(x \ (y \ z),x,y) \ 1.
(R(T(x,y * z),y,z) * (y * z)) \ ((x * y) * z) = K(y * z,(y * z) \ ((x * y) * z)).
T(x,K(y,z)) \ x = K(K(y,z),K(y,z) \ x).
K(K(x,y),K(x,y) \ z) = T(z,K(x,y)) \ z.
x != K(K(y,z),K(y,z) \ u) | x = K(K(y,z),u).
T(x,K(y,z)) \ x = K(K(y,z),x).
T(x,K(y,z)) * (x \ K(K(y,z),x)) = x \ x.
x * y != z \ z | 1 / y = x.
1 / (x \ K(K(y,z),x)) = T(x,K(y,z)).
x != 1 / (y \ K(z,u)) | x = K(z,u) \ y.
T(x,K(y,z)) = K(K(y,z),x) \ x.
K(K(x,y),z) \ z = T(z,K(x,y)).
x != T(K(y,z) * u,K(y,z)) | x = u * K(y,z).
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).
x != K(y,z) \ (y * z) | x = T(z * y,K(y,z)).
x * K(y,z) = T(x * K(y,z),K(K(y,z),x)).
T(x * K(y,z),K(K(y,z),x)) = x * K(y,z).
K(x * K(y,z),K(K(y,z),x)) = 1.
K(x * y,K(K(x,y),y * x)) = 1.
K(x,y) * ((y * x) / 1) = K(K(x,y),y * x) * (x * y).
K(K(x,y),y * x) * (x * y) = K(x,y) * ((y * x) / 1).
K(K(x,y),y * x) * (x * y) = K(x,y) * (y * x).
x \ (K(y,x) * (x * y)) = T(K(K(y,x),x * y) * y,x).
T(K(K(x,y),y * x) * x,y) = y \ (K(x,y) * (y * x)).
(x \ (K(y,x) * (x * y))) * R(T(K(K(y,x),x * y) * y,x) \ 1,z,u) = T((K(K(y,x),x * y) * y) * R((K(K(y,x),x * y) * y) \ 1,z,u),x).
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(T(((K(x,y) * (y * x)) / y) * R(((K(x,y) * (y * x)) / y) \ 1,z,u),w),y) = T((y \ (K(x,y) * (y * x))) * R(T(K(K(x,y),y * x) * x,y) \ 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).
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(((x * y) / x) * R(((x * y) / x) \ 1,z,u),w),x) = T(T(K(K(y,x),x * y) * y,x) * R((x \ (K(y,x) * (x * y))) \ 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(T(((y * x) / y) * R(((y * x) / y) \ 1,z,u),w),y).
x != T(T((y / z) * R((y / z) \ 1,u,w),v5),z) | x = T((z \ y) * R((z \ y) \ 1,u,w),v5).
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((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(x * R(x \ 1,y,z),u) = (u \ (K(x,u) * (u * x))) * R((u \ (K(x,u) * (u * x))) \ 1,y,z).
(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(x * R(x \ 1,y,z),u),w) = T(x * R(x \ 1,y,z),w).
T(T((K(x,y) * ((y * x) / y)) * R(((K(x,y) * (y * x)) / y) \ 1,z,u),w),y) = T((y \ (K(x,y) * (y * x))) * R(T(K(K(x,y),y * x) * x,y) \ 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((y \ (K(x,y) * (y * x))) * R(T(K(K(x,y),y * x) * x,y) \ 1,z,u),w).
T(T(((x * y) / x) * R(((x * y) / x) \ 1,z,u),w),x) = T((x \ (K(y,x) * (x * y))) * R(T(K(K(y,x),x * y) * y,x) \ 1,z,u),w).
T((x \ (K(y,x) * (x * y))) * R(T(K(K(y,x),x * y) * y,x) \ 1,z,u),w) = T(T(((x * y) / x) * R(((x * y) / x) \ 1,z,u),w),x).
x != T(T(y * R(y \ 1,z,u),w),v5) | x = T(y * R(y \ 1,z,u),v5).
T((x \ (K(y,x) * (x * y))) * R(T(K(K(y,x),x * y) * y,x) \ 1,z,u),w) = T(((x * y) / x) * R(((x * y) / x) \ 1,z,u),x).
x != T((y / z) * R((y / z) \ 1,u,w),z) | x = (z \ y) * R((z \ y) \ 1,u,w).
T((x \ (K(y,x) * (x * y))) * R(T(K(K(y,x),x * y) * y,x) \ 1,z,u),w) = (x \ (x * y)) * R((x \ (x * y)) \ 1,z,u).
T((x \ (K(y,x) * (x * y))) * R(T(K(K(y,x),x * y) * y,x) \ 1,z,u),w) = y * R((x \ (x * y)) \ 1,z,u).
T((x \ (K(y,x) * (x * y))) * R(T(K(K(y,x),x * y) * y,x) \ 1,z,u),w) = y * R(y \ 1,z,u).
T((x \ (K(y,x) * (x * y))) * R((x \ (K(y,x) * (x * y))) \ 1,z,u),w) = y * R(y \ 1,z,u).
x != T((y \ (K(z,y) * (y * z))) * R((y \ (K(z,y) * (y * z))) \ 1,u,w),v5) | x = T(z * R(z \ 1,u,w),v5).
x * R(x \ 1,y,z) = T(x * R(x \ 1,y,z),u).
T(x * R(x \ 1,y,z),u) = x * R(x \ 1,y,z).
T(x,y * R(y \ 1,z,u)) = x.
T(x,y \ R(y,z,u)) = x.
T(x,(y / (z * y)) * z) = x.
(x \ R(x,y,z)) \ u = u / (x \ R(x,y,z)).
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 \ R(x,y,z)) * (u / (x \ R(x,y,z))) = u.
K(x \ R(x,y,z),u) = 1.
T(((x * (y / z)) \ (x * y)) \ R((x * (y / z)) \ (x * y),u,w),v5) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
K(x,y \ R(y,z,u)) = K(x,a(R(y,z,u),z,u)).
K(x,a(R(y,z,u),z,u)) = K(x,y \ R(y,z,u)).
x != K(y,z \ R(z,u,w)) | x = 1.
K(x,a(R(y,z,u),z,u)) = 1.
K(x,a(y,z,u)) = 1.
x != 1 | x = K(y,a(z,u,w)).
K(x,a(y,z,u)) = K(w,a(v5,v6,v7)).
T(x,a(y,z,u)) = x.
x * K(y,a(z,u,w)) = x.
x * K(y,a(z,u,w)) != v5 | x = v5.
a(x,y,z) \ u = u / a(x,y,z).
x / a(y,z,u) = a(y,z,u) \ x.
x != y | x = L(y,z,K(u,w)).
T(x,a(y,z,u)) = L(x,w,K(v5,v6)).
T(a(x,y,z),u) = a(x,y,z).
x != T(y,z) | x = z \ (y * z).
x = a(y,z,u) \ (x * a(y,z,u)).
a(x,y,z) \ (u * a(x,y,z)) = u.
a(x,y,z) * u = u * a(x,y,z).
(x * a(y,z,u)) / x = a(y,z,u).
a(x,y,z) * (u / a(x,y,z)) = u.
R(a(x,y,z),u,w) \ ((u * a(x,y,z)) * w) = T(u,a(x,y,z)) * w.
T(x,K(y \ 1,y)) = x.
x * y != (z * (u * w)) * a(z,u,w) | ((z * u) * w) / y = x.
((x * y) * z) / (x * (y * z)) = a(x,y,z).
x / (x / a(y,z,u)) = a(y,z,u).
x * y != a(z,u,w) * v5 | x \ (v5 * a(z,u,w)) = y.
(a(x,y,z) * u) \ ((u * w) * a(x,y,z)) = L(w,u,a(x,y,z)).
a(x,y,z) * u != u * w | a(x,y,z) = w.
x * a(y,z,u) != w | a(y,z,u) \ w = x.
((a(x,y,z) * u) * w) / (a(x,y,z) * w) != v5 | R(u,a(x,y,z),w) = v5.
T(x,a(y,z,u)) != w | w = x.
(x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)).
x != (y * z) \ (u * z) | x = R(T(u / y,y * z),y,z).
L(x,y,a(z,u,w)) = R(T((y * x) / y,y * a(z,u,w)),y,a(z,u,w)).
R(T((x * y) / x,x * a(z,u,w)),x,a(z,u,w)) = L(y,x,a(z,u,w)).
R(a(x,y,z),u,u \ w) = ((u * a(x,y,z)) * (u \ w)) / w.
((x * a(y,z,u)) * (x \ w)) / w = R(a(y,z,u),x,x \ w).
((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).
T(a(x,y,z),u) * w = w * a(x,y,z).
x / T(a(y,z,u),w) = a(y,z,u) \ x.
T(x,((y \ z) / z) * y) = x.
T(x,(y / z) * (z / y)) = x.
T(x,y * (1 / y)) = x.
(x / (y * x)) * y = L(y,x / (y * x),y) * (x / (y * x)).
L(x,y / (x * y),x) * (y / (x * y)) = (y / (x * y)) * x.
((x / y) * (y / x)) \ z = z / ((x / y) * (y / x)).
x / ((y / z) * (z / y)) = ((y / z) * (z / y)) \ x.
((x / y) * (y / x)) * z = z * ((x / y) * (y / x)).
(x / y) * ((y / x) * z) = L(z,y / x,x / y) * ((x / y) * (y / x)).
L(x,y / z,z / y) * ((z / y) * (y / z)) = (z / y) * ((y / z) * x).
T(x,K(y,1 / y)) = x.
K(x,1 / x) * y = y * K(x,1 / x).
T(x,K(y,y \ 1)) = x.
T(K(x,x \ 1),y) = K(x,x \ 1).
K(x,x \ 1) * y = y * K(x,x \ 1).
x * y != T(z,K(u,u \ 1)) | x \ z = y.
x \ (K(y,y \ 1) * x) = K(y,y \ 1).
K(x,x \ 1) * y != z | y * K(x,x \ 1) = z.
K(x,x \ 1) * y != z * K(x,x \ 1) | z = y.
(x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y.
(x * y) * K(x,x \ 1) = T(x,x \ 1) * y.
x * K(x,x \ 1) = T(x,x \ 1).
((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y.
((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y.
K(x,x \ 1) * y != ((x \ 1) \ 1) * z | y = x * z.
(x \ 1) \ 1 = x * K(x,x \ 1).
x * K(x,x \ 1) = (x \ 1) \ 1.
(x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z).
(x * y) * K(z,z \ 1) != u * (K(z,z \ 1) * y) | R(x,y,K(z,z \ 1)) = u.
a(x * K(y,y \ 1),z,u) = a(x,z,u).
K(x \ 1,x) * (y * K(x,x \ 1)) = y.
R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1).
a(x * K(y \ 1,y),z,u) = a(x,z,u).
x != ((y / z) * (z / y)) \ (y / z) | x = 1 / (z / y).
(x / y) / ((x / y) * (y / x)) = 1 / (y / x).
(1 / (x / y)) * ((y / x) * (x / y)) = y / x.
(x / y) * L(z,(x / y) * (y / x),1 / (y / x)) = (1 / (y / x)) * (((x / y) * (y / x)) * z).
(K(x \ 1,x) * y) * K(x,x \ 1) = y.
x \ (K(y \ 1,y) * z) = (x * K(y,y \ 1)) \ z.
(x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z).
T(K(x \ 1,x),y) = K(x \ 1,x).
K(x \ 1,x) * y = y * K(x \ 1,x).
T(x,K(y \ 1,R(y,z,u))) = x.
T(x,K(y / z,z / y)) = x.
K(x \ 1,x) * y != z | y = z * K(x,x \ 1).
x = (x * K(y \ 1,y)) * K(y,y \ 1).
(x * K(y \ 1,y)) * K(y,y \ 1) = x.
K(x \ 1,x) * y != z | y = K(x,x \ 1) * z.
x = K(y,y \ 1) * (x * K(y \ 1,y)).
K(x,x \ 1) * (y * K(x \ 1,x)) = y.
x != K(y,z) * (u / w) | x = (K(y,z) * u) / w.
(x / y) * K(z \ 1,z) = (K(z \ 1,z) * x) / y.
(K(x \ 1,x) * y) / z = (y / z) * K(x \ 1,x).
x != K(y \ 1,y) * (1 / y) | x = y \ 1.
(1 / x) * K(x \ 1,x) = x \ 1.
x != K(y \ 1,y) * (K(y,y \ 1) * z) | x = z.
(K(x,x \ 1) * y) * K(x \ 1,x) = y.
x * y != K(z \ 1,z) * ((z \ 1) \ 1) | x \ z = y.
((x \ 1) \ 1) \ x = K(x \ 1,x).
(x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z).
(x * K(y \ 1,y)) / z = K(y \ 1,y) * (x / z).
(x * y) / ((y * K(z \ 1,z)) * K(z,z \ 1)) = R(R(x,y,K(z \ 1,z)),y * K(z \ 1,z),K(z,z \ 1)).
R(R(x,y,K(z \ 1,z)),y * K(z \ 1,z),K(z,z \ 1)) = (x * y) / ((y * K(z \ 1,z)) * K(z,z \ 1)).
(x * K(y \ 1,y)) * z = K(y \ 1,R(y,u,w)) * (x * z).
K(x \ 1,R(x,y,z)) * (u * w) = (u * K(x \ 1,x)) * w.
x \ (K(y,y \ 1) * z) = (x * K(y \ 1,y)) \ z.
(x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z).
x != a(y,z,u) | x = ((y * z) * u) / (y * (z * u)).
a(x,y,z) * K(u,a(w,v5,v6)) = ((x * y) * z) / (x * (y * z)).
((x * y) * z) / (x * (y * z)) = a(x,y,z) * K(u,a(w,v5,v6)).
x != y | x = T(y,a(z,u,w)).
x * K(y,a(z,u,w)) = T(x,a(v5,v6,v7)).
T(x,a(y,z,u)) = x * K(w,a(v5,v6,v7)).
x * K(y,K(z \ 1,z)) = x.
((L(x,y,z) * (z * y)) / (z * y)) * T(((L(x,y,z) * (z * y)) / (z * y)) \ x,u) = (x * (z * y)) / (z * y).
x != (y * z) / z | x = 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.
L(x,y,z) * T(L(x,y,z) \ x,u) = x.
(L(x,y,z) \ x) * L(x,y,z) = x.
x * T(y,y \ z) != z | x = y \ z.
L(x,y,z) = (L(x,y,z) \ x) \ x.
(L(x,y,z) \ x) \ x = L(x,y,z).
x * y != L(z,u,w) * T(L(z,u,w) \ z,v5) | z / y = x.
x / L(x,y,z) = L(x,y,z) \ x.
a(1 / x,x,y) \ y = L(y,x,1 / x).
a(1 / x,x,y) \ y = L(y,x,x \ 1).
T(L(x,y / (x * y),x),y / (x * y)) = x.
x * y != L(z,u / (z * u),z) * (u / (z * u)) | ((u / (z * u)) * z) / y = x.
((x / (y * x)) * y) / R(1 / y,y,x) = L(y,x / (y * x),y).
x != ((y / (z * y)) * z) / R(1 / z,z,y) | x = 1 / (1 / z).
L(x,y / (x * y),x) = 1 / (1 / x).
L(x,x \ 1,x) = 1 / (1 / x).
x != L(y,y \ 1,y) | x = y * K(y \ 1,y).
1 / (1 / x) = x * K(x \ 1,x).
x * K(x \ 1,x) = 1 / (1 / x).
x != L(T(y,z),u,w) | x = T(L(y,u,w),z).
1 / (1 / T(x,y)) = T(L(x,T(x,y) \ 1,T(x,y)),y).
T(L(x,T(x,y) \ 1,T(x,y)),y) = 1 / (1 / T(x,y)).
x * K(y \ 1,y) != z | x = K(y,y \ 1) * z.
x = K(x,x \ 1) * (1 / (1 / x)).
K(x,x \ 1) * (1 / (1 / x)) = x.
x != y * K(z \ 1,z) | x = K(z \ 1,z) * y.
1 / (1 / x) = K(x \ 1,x) * x.
K(x \ 1,x) * x = 1 / (1 / x).
(1 / (1 / x)) * y = K(x \ 1,x) * (x * y).
K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y.
x != K(y \ 1,y) * z | x = z * K(y \ 1,y).
(1 / (1 / x)) * y = (x * y) * K(x \ 1,x).
(x * y) * K(x \ 1,x) = (1 / (1 / x)) * y.
K((x / y) \ 1,x / y) * x = (1 / (1 / (x / y))) * y.
K(x \ 1,x) * (y * x) = (1 / (1 / x)) * T(y,x).
x / (1 / (1 / x)) = K(x,x \ 1).
x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y.
K(x,x \ 1) * y != x * z | (1 / (1 / x)) * z = y.
((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u.
x != K(y,y \ 1) * z | x = z * K(y,y \ 1).
(x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1).
x * y != K(z,z \ 1) * u | x \ (u * K(z,z \ 1)) = y.
(x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z.
(((x \ y) / y) * x) * z = z * (((x \ y) / y) * x).
(x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y.
R(x / (1 / y),1 / y,K(y \ 1,y)) = (x * K(y \ 1,y)) / (y \ 1).
((1 / x) \ (y * T(y \ 1,x))) * K(x,x \ 1) = T(x,x \ 1) * (y * T(y \ 1,x)).
x != ((1 / y) \ z) * K(y,y \ 1) | x = (y \ 1) \ z.
T(x,x \ 1) * (y * T(y \ 1,x)) = (x \ 1) \ (y * T(y \ 1,x)).
x * y != z \ (u * T(z,u)) | x \ u = y.
T(x,x \ 1) \ x = x * T(x \ 1,x).
x != T(y,y \ z) * (u * T(u \ 1,y)) | x = (u * T(u \ 1,y)) * ((y \ z) \ z).
(x \ 1) \ (y * T(y \ 1,x)) = (y * T(y \ 1,x)) * ((x \ 1) \ 1).
(x * T(x \ 1,y)) * ((y \ 1) \ 1) = (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) * K(y,y \ 1) != z * ((y \ 1) \ 1) | R(x,y,K(y,y \ 1)) = z.
K(x / y,y / x) * y = (1 / (1 / (y / x))) * x.
(x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y.
((x \ 1) \ 1) \ y = K(x \ 1,x) * (x \ y).
K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y.
x / ((y \ x) * K(y \ 1,y)) = (y \ 1) \ 1.
K(x \ 1,x) * y != (((x \ 1) \ 1) \ z) * u | (x \ z) * u = y.
K(x,x \ 1) * y != z | K(x \ 1,x) * z = y.
x != T(K(y \ 1,y),z) | x = K(y \ (y / T(y,z)),y).
K(x \ 1,x) = K(x \ (x / T(x,y)),x).
K(x \ (x / T(x,y)),x) = K(x \ 1,x).
x * (y * K(z \ 1,z)) = L(K(z \ 1,z),y,x) * (x * y).
L(K(x \ 1,x),y,z) * (z * y) = z * (y * K(x \ 1,x)).
x * K(x \ (x / T(x,y)),x) = 1 / (1 / x).
x != y * K(y \ (y / T(y,z)),y) | x = L(y,T(y,z) \ 1,T(y,z)).
1 / (1 / x) = L(x,T(x,y) \ 1,T(x,y)).
L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x).
T(1 / (1 / x),y) = 1 / (1 / T(x,y)).
1 / (1 / T(x,y)) = T(1 / (1 / x),y).
x * (1 / (1 / T(y,x))) = (1 / (1 / y)) * x.
T(1 / (1 / x),y) \ 1 = 1 / T(x,y).
K(T(x,y),T(x,y) \ 1) * T(1 / (1 / x),y) = T(x,y).
x * (1 / (1 / (x \ y))) = (1 / (1 / (y / x))) * x.
(1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))).
x != (1 / (1 / (y / z))) * z | x = K(z / y,y / z) * y.
x * (1 / (1 / (x \ y))) = K(x / y,y / x) * y.
K(x / y,y / x) * y = x * (1 / (1 / (x \ y))).
x * y != (1 / (1 / (z / u))) * u | x \ (K(u / z,z / u) * z) = y.
x \ (K(x / y,y / x) * y) = 1 / (1 / (x \ y)).
K((x / y) / x,x / (x / y)) * x = (x / y) * (1 / (1 / y)).
L(K(x \ 1,x),y,z) * (z * y) = z * (K(x \ 1,x) * y).
((1 / (1 / x)) * y) / z = ((x * y) / z) * K(x \ 1,x).
((x * y) / z) * K(x \ 1,x) = ((1 / (1 / x)) * y) / z.
T(K(x \ 1,R(x,y,z)),u) = K(x \ 1,R(x,y,z)).
(x \ (y \ z)) / ((y * x) \ z) = L(x \ (y \ z),x,y) \ (x \ (y \ z)).
L(x \ (y \ z),x,y) \ (x \ (y \ z)) = (x \ (y \ z)) / ((y * x) \ z).
T(x,y) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)).
R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y).
x != T(y,(z / u) * (u / z)) | x = y.
L(R(x / y,y / x,(y / x) \ 1),y / x,((y / x) * (x / y)) / (y / x)) = ((y / x) * (x / y)) * ((y / x) \ 1).
T(1 / x,y) \ 1 = 1 / T(x \ 1,y).
1 / T(x \ 1,y) = T(1 / x,y) \ 1.
1 / T((x \ 1) \ 1,y) = T(x,y) \ 1.
(T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y).
((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x).
T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1.
(x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z.
((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z).
(x * ((y \ z) * T((y \ z) \ 1,z))) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z).
(x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * ((y \ z) * T((y \ z) \ 1,z))) * z.
(x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * (y \ ((z \ y) * z))) * z.
(x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * K(z \ y,z)) * z.
x * (T(T(y,x),z) * R(T(T(y,x),z) \ (x \ u),w,v5)) = (T(y,z) * x) * R((T(y,z) * x) \ u,w,v5).
x * (T(T(y,x),z) * R(T(T(y,x),z) \ (x \ u),w,v5)) = T(y,z) * (x * R(x \ (T(y,z) \ u),w,v5)).
x * y != T(x,x \ 1) \ x | y = T(x \ 1,x).
T(x,x \ 1) \ 1 = T(x \ 1,x).
x \ (T(x,y) \ x) != z | z = T(x,y) \ 1.
x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z.
(1 / x) * (T(x,y) \ x) = L(T(x,y) \ 1,x,1 / x).
L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x).
((x \ 1) \ 1) \ 1 = T(x \ 1,x).
T(x \ 1,x) = ((x \ 1) \ 1) \ 1.
K(x,T(y \ 1,y)) = K(x,y \ 1).
x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z).
(x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)).
K((x / y) \ 1,x / y) * y = x * T(x \ (1 * y),x / y).
K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y).
x * y != z * T(z \ u,z / u) | (K((z / u) \ 1,z / u) * u) / y = x.
(K((x / y) \ 1,x / y) * y) / x = T(y / x,x / y).
K(x / y,y / x) * x = y * T(y \ x,y / x).
T(x / y,y / x) = K((y / x) \ 1,y / x) * (x / y).
K((x / y) \ 1,x / y) * (y / x) = T(y / x,x / y).
K(x / y,y / x) * (x / y) = T(x / y,y / x).
T(x / y,y / x) != z * (x / y) | K(x / y,y / x) = z.
(x / (x / y)) \ (y \ (((x / y) * y) / (x / y))) = y \ 1.
(x / (x / y)) \ (y \ (x / (x / y))) = y \ 1.
x * y != z / z | 1 / y = x.
1 / L(x,y,z) = (x / L(x,y,z)) / x.
(x / L(x,y,z)) / x = 1 / L(x,y,z).
(L(x,y,z) \ x) / x = 1 / L(x,y,z).
(((x * y) \ z) \ (y \ (x \ z))) / (y \ (x \ z)) = 1 / L(y \ (x \ z),y,x).
L(x,L(y,z,u),1 / y) * (L(y,z,u) / y) = (1 / y) * (L(y,z,u) * T(x,L(y,z,u) / y)).
(1 / x) * (L(x,y,z) * T(u,L(x,y,z) / x)) = L(u,L(x,y,z),1 / x) * (L(x,y,z) / x).
x != R((y / z) \ u,y / z,z) | x = T((u * z) / y,y / z).
R(x / y,y / x,(y / x) \ 1) = T((1 * x) / y,y / x).
R(x / y,y / x,(y / x) \ 1) = T(x / y,y / x).
L(T(x / y,y / x),y / x,((y / x) * (x / y)) / (y / x)) = ((y / x) * (x / y)) * ((y / x) \ 1).
T(L(x,y,(y * x) / y),y) = T(y \ (y * x),y * x).
x != T(L(y,z,u),w) | x = L(T(y,w),z,u).
T(x \ (x * y),x * y) = L(T(y,x),x,(x * y) / x).
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).
x != L(T(y / z,z / y),z / y,((z / y) * (y / z)) / (z / y)) | x = ((z / y) * (y / z)) * ((z / y) \ 1).
T(x / y,(y / x) * (x / y)) = ((y / x) * (x / y)) * ((y / x) \ 1).
((x / y) * (y / x)) * ((x / y) \ 1) = T(y / x,(x / y) * (y / x)).
((x / y) * (y / x)) * ((x / y) \ 1) = y / x.
((x / (y * x)) * ((y * x) / x)) * ((x / (y * x)) \ 1) = y.
x != ((y / z) * (z / y)) * u | x = u * ((y / z) * (z / y)).
x / y = ((y / x) \ 1) * ((y / x) * (x / y)).
((x / y) \ 1) * ((x / y) * (y / x)) = y / x.
R(x / y,y,K(y,y \ 1)) = (x * K(y,y \ 1)) / T(y,y \ 1).
(x * K(y,y \ 1)) / T(y,y \ 1) = R(x / y,y,K(y,y \ 1)).
x / T(y,y \ 1) = R((K(y \ 1,y) * x) / y,y,K(y,y \ 1)).
R((K(x \ 1,x) * y) / x,x,K(x,x \ 1)) = y / T(x,x \ 1).
R((x / y) * K(y \ 1,y),y,K(y,y \ 1)) = x / T(y,y \ 1).
(x * (y * T(z,u))) / (x * y) = T((x * (y * z)) / (x * y),u).
(x * (y * T(T(z,y),u))) / (x * y) = T((x * (z * y)) / (x * y),u).
(x * (T(y,z) * u)) / (x * u) = T((x * (y * u)) / (x * u),z).
(x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y).
(x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z.
(x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y.
(x * ((y * z) / y)) * z = (x * z) * ((y * z) / y).
(x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y.
(x / y) * K(y \ 1,y) = x * T(x \ (x / y),y).
((x * y) / x) \ (y * (x * y)) = x * T(R(y,x,y),x * y).
((x * y) / x) \ (y * (x * y)) = x * R(T(y,x * y),x,y).
x != y * R(T(z,y * z),y,z) | x = z * y.
((x * y) / x) \ (y * (x * y)) = y * x.
((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.
R(x,x \ 1,x) = T(x,x \ 1).
x = L(x,y,z \ T(z,u)).
L(x,y,z \ T(z,u)) = x.
R((x / y) \ 1,x / y,y) = (K((x / y) \ 1,x / y) * y) / x.
(K((x / y) \ 1,x / y) * y) / x = R((x / y) \ 1,x / y,y).
x != (1 / y) \ ((y \ 1) * z) | x = K(y \ 1,y) * z.
(L(x,y,z) \ 1) * x = K(L(x,y,z) \ 1,L(x,y,z)) * (L(x,y,z) \ x).
K(L(x,y,z) \ 1,L(x,y,z)) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x.
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).
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(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y.
T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y.
T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y.
T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y.
T(x * y,z) = T(T(T(x,x * y) * y,z),R(x,y,y \ 1)).
T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z).
T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)).
T(x,R(x / y,y,y \ 1)) = T((x / y) * y,T(x / y,y)).
T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)).
T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,y \ x) = T(x,x * (y \ 1)).
T(x,x * (y \ 1)) = T(x,y \ x).
K(x,T(y,z \ y)) = K(x,T(y,z \ 1)).
K(x,T(y,z \ 1)) = K(x,T(y,z \ y)).
K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)).
x \ (y * K((y \ x) \ 1,y \ x)) = T(x \ y,y \ x).
x \ (K((y \ x) \ 1,y \ x) * y) = T(x \ y,y \ x).
x * T(x \ y,y \ x) = K((y \ x) \ 1,y \ x) * y.
K((x \ y) \ 1,x \ y) * x = y * T(y \ x,x \ y).
K(((x * y) \ x) \ 1,L(y \ 1,y,x)) * (x * y) = x * T(x \ (x * y),(x * y) \ x).
(1 / x) \ T(y,z) = x * T(x \ ((1 / x) \ y),z).
x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z).
(x \ 1) * (x * R(x \ 1,y,z)) = K(x \ 1,x) * R(1 / x,y,z).
K(x \ 1,x) * R(1 / x,y,z) = (x \ 1) * (x * R(x \ 1,y,z)).
T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y).
(T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y).
(x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y).
(x * T(x \ 1,y)) * (x \ y) = (y \ (x \ y)) * y.
(x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x).
(L(x,y,z) \ 1) * x = (L(x,y,z) * T(L(x,y,z) \ 1,x)) * (L(x,y,z) \ x).
(L(x,y,z) * T(L(x,y,z) \ 1,x)) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x.
L(x * T(x \ 1,x),y,z) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x.
L((x \ 1) * x,y,z) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x.
L(K(x \ 1,x),y,z) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x.
x * (L(y,z,u) \ y) != (L(y,z,u) \ 1) * y | x = K(L(y,z,u) \ 1,L(y,z,u)).
L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,L(x,y,z)).
K(L(x,y,z) \ 1,L(x,y,z)) = L(K(x \ 1,x),y,z).
K(((x * y) \ x) \ 1,L(y \ 1,y,x)) = L(K((y \ 1) \ 1,y \ 1),y,x).
x * y != x * z | z = y.
(1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u).
T(x,x * T(x \ 1,y)) = x.
(x \ y) * (y \ x) = (y \ x) / ((x \ y) \ 1).
(x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y).
x / ((y \ (y / x)) \ 1) = (y \ (y / x)) * ((y / x) \ y).
(x \ (x / y)) * ((x / y) \ x) = y / ((x \ (x / y)) \ 1).
(x \ (x / y)) * y = y / ((x \ (x / y)) \ 1).
x / ((y \ (y / x)) \ 1) = (y \ (y / x)) * x.
((x \ (x / y)) * y) \ y = (x \ (x / y)) \ 1.
(L(x \ 1,x,y / x) * x) \ x = (y \ (y / x)) \ 1.
(x \ (x / y)) \ 1 = (L(y \ 1,y,x / y) * y) \ y.
K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y).
L(R(x / (1 / y),1 / y,y),z,u) / y = (1 / y) * L((1 / y) \ x,z,u).
L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u).
(1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x.
K(x,(y \ 1) \ 1) != z | z = K(x,y).
K(x,(y \ 1) \ 1) != z | K(x,y) = z.
K(x,T(y \ 1,y)) != z | K(x,y \ 1) = z.
K(x,R(y,z,u)) != w | K(x,y) = w.
R(K(x,y),z,u) != w | K(x,y) = w.
K(x,(y * z) / u) != w | K(x,y / (u / z)) = w.
K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)).
R(x,y,x) * (x \ (y * x)) = T(x * y,x).
R(x,y,x) * T(y,x) = T(x * y,x).
R(x,y,x) \ T(x * y,x) = T(y,x).
R(x,y,x) * T(y,x) != z | z = T(x * y,x).
R(x,y,x) * T(y,x) != z | T(x * y,x) = z.
x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z).
x * y != z * R(T(u,w * z),w,z) | x \ (w \ ((L(u,z,w) * w) * z)) = y.
x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x).
x != (y * K(z \ 1,z)) / u | x = K(z \ 1,z) * (y / u).
R(x / (1 / y),1 / y,K(y \ 1,y)) = K(y \ 1,y) * (x / (y \ 1)).
R(L(x,y,z),T(1 / x,L(x,y,z)),x) \ L(x,y,z) = (L(x,y,z) \ (L(x,y,z) / x)) * x.
L(R(x,T(1 / x,L(x,y,z)),x),y,z) \ L(x,y,z) = (L(x,y,z) \ (L(x,y,z) / x)) * x.
x * (y * K(z,z \ 1)) = L(K(z,z \ 1),y,x) * (x * y).
L(K(x,x \ 1),y,z) * (z * y) = z * (y * K(x,x \ 1)).
x != y \ (y / z) | x = L(z \ 1,z,z \ y).
T(1 / x,T(x,y)) = L(x \ 1,x,x \ T(x,y)).
L(x \ 1,x,x \ T(x,y)) = T(1 / x,T(x,y)).
x != L(y,z,u \ T(u,w)) | x = y.
T(1 / x,T(x,y)) = x \ 1.
T(x \ 1,x) = T(x \ 1,T(x,y)).
T(x \ 1,T(x,y)) = T(x \ 1,x).
T(x,T(1 / x,y)) = T((1 / x) \ 1,1 / x).
T((1 / x) \ 1,1 / x) = T(x,T(1 / x,y)).
T((x / y) \ 1,y \ x) = T((x / y) \ 1,x / y).
T((x / y) \ 1,x / y) = T((x / y) \ 1,y \ x).
K(x,T((y / z) \ 1,z \ y)) = K(x,(y / z) \ 1).
x \ ((y \ x) * (T(y,y \ x) * z)) = L(z,(y \ x) \ x,y \ x).
x \ (y * K(y \ x,1 / (y \ x))) = L(1 / (y \ x),y \ x,y).
T(x,x * L(x \ 1,y,z)) = x.
R(x,L(x \ 1,y,z),T(x,L(x \ 1,y,z))) = T(x,L(x \ 1,y,z)).
T(x,y \ T(y,L(y \ 1,z,u))) = x.
T(x \ T(x,L(x \ 1,y,z)),u) = x \ T(x,L(x \ 1,y,z)).
(x * y) / x != z * y | y \ ((x * y) / x) = z.
K(((x * y) \ x) \ 1,L(y \ 1,y,x)) = L(K(y,y \ 1),y,x).
L(K(x,x \ 1),x,y) * (y * x) = y * T(y \ (y * x),(y * x) \ y).
x != L(K(y,y \ 1),z,u) * (u * z) | x = u * (z * K(y,y \ 1)).
x * T(x \ (x * y),(x * y) \ x) = x * (y * K(y,y \ 1)).
x * T(x \ (x * y),(x * y) \ x) = x * T(y,y \ 1).
x * T(y,(x * y) \ x) = x * T(y,y \ 1).
T(x,x \ 1) = T(x,(y * x) \ y).
T(x,(y * x) \ y) = T(x,x \ 1).
x * y != x * T(z,z \ u) | y = (z \ u) \ u.
T(x,(y * x) \ y) = (x \ 1) \ 1.
T(x \ y,y \ x) = ((x \ y) \ 1) \ 1.
(x * ((y * x) \ y)) \ (((y * x) \ y) * (((x \ 1) \ 1) * z)) = L(z,T(x,(y * x) \ y),(y * x) \ y).
1 / T(x \ y,y \ x) = (x \ y) \ 1.
1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1.
T(x,1 / x) = T(x,x \ 1).
L(K(x,y),x,1 / x) = L((1 / x) * T(x,y),x,y).
L((1 / x) * T(x,y),x,y) = L(K(x,y),x,1 / x).
L(T(x,y) / x,x,y) = L(K(x,y),x,1 / x).
L(K(x,y),x,1 / x) = L(T(x,y) / x,x,y).
R(T(x,y),x \ y,x) = T(x,x \ y).
T(T(x,x \ y),z) = R(T(T(x,y),z),x \ y,x).
R(T(T(x,y),z),x \ y,x) = T(T(x,x \ y),z).
K(x,L(T(T(y,y \ z),u),w,v5)) = K(x,L(T(T(y,z),u),w,v5)).
T(x,1 / x) = T(x,T(1 / x,y)).
T(x,T(1 / x,y)) = T(x,1 / x).
x != T(y,1 / y) | x = T(y,y \ 1).
T(x,T(1 / x,y)) = T(x,x \ 1).
x * y != R(y,z,u) | x = (1 / y) * R(y,z,u).
R(x,y,z) * (x \ 1) = (1 / x) * R(x,y,z).
x * y != R(R((z / u) / w,v5,v6),w,u) | R(z / (w * u),v5,v6) / y = x.
R(x / (y * (y \ 1)),z,u) / (y \ 1) = R((x / (y \ 1)) / y,z,u) * y.
R(x,y,z) / (u \ 1) = R((x / (u \ 1)) / u,y,z) * u.
R((x / (y \ 1)) / y,z,u) * y = R(x,z,u) / (y \ 1).
x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1).
R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x).
R(x,T(1 / x,y),x) = T(x,(x * T(x \ 1,y)) / x).
T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x).
T(x,T(1 / x,y)) = R(x,T(1 / x,y),x).
R(x,T(1 / x,y),x) = T(x,T(1 / x,y)).
x != T(y,T(1 / y,z)) | x = T(y,y \ 1).
R(x,T(1 / x,y),x) = T(x,x \ 1).
L(T(x,x \ 1),y,z) \ L(x,y,z) = (L(x,y,z) \ (L(x,y,z) / x)) * x.
L(T(x,x \ 1),y,z) \ L(x,y,z) = T(1 / x,L(x,y,z)) * x.
L(T(x,x \ 1),y,z) \ L(x,y,z) = x * T(x \ 1,L(x,y,z)).
T(x / (y * x),T(y,z)) = R(y \ 1,y,x).
(1 / x) * ((T(x,y) \ 1) * x) = T((1 / x) * (T(x,y) \ x),x).
T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x).
(T(x,y) \ 1) * x = (T(x,y) * T(T(x,y) \ 1,x)) * (T(x,y) \ x).
(T(x,y) * T(T(x,y) \ 1,x)) * (T(x,y) \ x) = (T(x,y) \ 1) * x.
x \ (K(y \ x,1 / (y \ x)) * y) = L(1 / (y \ x),y \ x,y).
x \ (K(y \ x,(y \ x) \ 1) * y) = L(1 / (y \ x),y \ x,y).
(x \ y) * (((x \ y) \ (y / x)) / (y / x)) = x \ (y * (((y / x) * (y \ x)) / (y / x))).
x \ (y * (((y / x) * (y \ x)) / (y / x))) = (x \ y) * (((x \ y) \ (y / x)) / (y / x)).
(x \ (y \ z)) \ (((y * x) \ z) \ (x \ (y \ z))) = ((y * x) \ z) \ 1.
L(T(x \ 1,x),x,1 / x) = x \ 1.
(1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z).
(1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x.
R(T(x,x \ 1),y,z) * K(x \ 1,x) = (R(x,y,z) * (x \ 1)) * x.
x != (R(y,z,u) * (y \ 1)) * y | x = R(y,z,u).
R(T(x,x \ 1),y,z) * K(x \ 1,x) = R(x,y,z).
R((x \ 1) \ 1,y,z) * K(x \ 1,x) = R(x,y,z).
T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y).
T(x * T(x \ 1,x),y) * (T(x,y) \ x) = (T(x,y) \ 1) * 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.
K(x \ 1,x) * (T(x,y) \ x) = (T(x,y) \ 1) * x.
(1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x).
x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y.
x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y.
(x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)).
T(x * L(x \ (y / z),u,w),z) = z \ (x * (z * L(z \ (x \ y),u,w))).
x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x).
x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x).
(x \ T(y,x)) * x = T(x * T(x \ y,x),x).
T(x * T(x \ y,x),x) = (x \ T(y,x)) * x.
T((x \ y) * x,x) = (x \ T(y,x)) * x.
(x \ T(y,x)) * x = T((x \ y) * x,x).
x * (T((x \ y) * x,x) / x) = T(y,x).
x * (T(y * x,x) / x) = T(x * y,x).
x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x).
x * ((1 / (1 / x)) \ T(y,x)) = T(x * ((1 / x) * ((1 / x) \ ((1 / (1 / x)) \ y))),x).
T(x * ((1 / x) * ((1 / x) \ ((1 / (1 / x)) \ y))),x) = x * ((1 / (1 / x)) \ T(y,x)).
x != y * ((1 / (1 / y)) \ z) | x = K(y,y \ 1) * z.
T(x * ((1 / x) * ((1 / x) \ ((1 / (1 / x)) \ y))),x) = K(x,x \ 1) * T(y,x).
T(x * ((1 / (1 / x)) \ y),x) = K(x,x \ 1) * T(y,x).
T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x).
K(x,x \ 1) * T(y,x) = T(K(x,x \ 1) * y,x).
K(x,x \ 1) * T(y,x) = T((1 / x) * ((x \ 1) \ y),x).
T((1 / x) * ((x \ 1) \ y),x) = K(x,x \ 1) * T(y,x).
x != K(y,y \ 1) * z | x = (1 / y) * ((y \ 1) \ z).
T((1 / x) * ((x \ 1) \ y),x) = (1 / x) * ((x \ 1) \ T(y,x)).
(1 / x) * ((x \ 1) \ T(y,x)) = T((1 / x) * ((x \ 1) \ y),x).
(1 / x) * y != T((1 / x) * z,x) | y = (x \ z) * x.
(x \ 1) \ T(y,x) = (x \ ((x \ 1) \ y)) * x.
(x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x).
(x \ y) * x = (x \ 1) \ T((x \ 1) * y,x).
(x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x.
x * ((y \ (x \ ((y \ 1) \ 1))) * y) = (x * T(x \ 1,y)) * ((y \ 1) \ 1).
(x * T(x \ 1,y)) * ((y \ 1) \ 1) = x * ((y \ (x \ ((y \ 1) \ 1))) * y).
x != (y * T(y \ 1,z)) * ((z \ 1) \ 1) | x = (z \ 1) \ (y * T(y \ 1,z)).
x * ((y \ (x \ ((y \ 1) \ 1))) * y) = (y \ 1) \ (x * T(x \ 1,y)).
((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z).
(((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x).
(x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y).
(x * ((y * (x \ (z \ x))) / y)) / (z \ x) = z * ((y * (z \ 1)) / y).
(x * ((y * (x \ z)) / y)) / ((x / z) \ x) = (x / z) * ((y * ((x / z) \ 1)) / y).
(x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y).
(x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y.
((x / y) * (1 / (x / y))) * y = x * L(x \ (1 * y),x / y,y / x).
x * L(x \ (1 * y),x / y,y / x) = ((x / y) * (1 / (x / y))) * y.
x * L(x \ (1 * y),x / y,y / x) = K(x / y,(x / y) \ 1) * y.
x * L(x \ y,x / y,y / x) = K(x / y,(x / y) \ 1) * y.
x * (((y * x) / y) * z) = ((y * x) / y) * (x * z).
((x * y) / x) * (y * z) = y * (((x * y) / x) * z).
((x * y) / x) * z = y * (((x * y) / x) * (y \ z)).
x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z.
x * y != K(z \ 1,z) * R(1 / z,u,w) | R(z \ 1,u,w) / y = x.
R(x \ 1,y,z) / (x * R(x \ 1,y,z)) = x \ 1.
(x * y) * L((y * T(x,y)) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)).
(x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)).
x * y != (z * u) * L((z * u) \ w,v5,v6) | x \ (z * (u * L(u \ (z \ w),v5,v6))) = y.
x \ (y * (x * L(x \ (y \ (x * z)),u,w))) = T(y,x) * L(T(y,x) \ z,u,w).
x != y \ (z * (y * L(y \ (z \ u),w,v5))) | x = T(z * L(z \ (u / y),w,v5),y).
T(x,y) * L(T(x,y) \ z,u,w) = T(x * L(x \ ((y * z) / y),u,w),y).
T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w).
T(x * L(x \ y,z,u),w) = T(x,w) * L(T(x,w) \ T(y,w),z,u).
T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y).
T(x \ L(x * ((y * z) / y),u,w),y) = T(x \ 1,y) * L(T(x \ 1,y) \ z,u,w).
T(x \ y,z) * L(T(x \ y,z) \ T(u,z),x \ y,x) = T((x \ y) * (y \ (x * u)),z).
T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y).
((x * y) \ z) \ (y \ (x \ z)) = (y \ (x \ z)) / ((x * y) \ z).
(x \ (y \ z)) / ((y * x) \ z) = ((y * x) \ z) \ (x \ (y \ z)).
x \ ((y * z) * K((z \ (y \ x)) \ (((y * z) \ x) \ (z \ (y \ x))),z \ (y \ x))) = T(x \ (y * z),z \ (y \ x)).
x \ ((y * z) * K(((y * z) \ x) \ 1,z \ (y \ x))) = T(x \ (y * z),z \ (y \ x)).
R(R(x,y,K(z \ 1,z)),y * K(z \ 1,z),K(z,z \ 1)) = (x * y) / y.
R(R(x,y,K(z \ 1,z)),y * K(z \ 1,z),K(z,z \ 1)) = x.
R(x,y * ((x * y) \ z),a(x,y,(x * y) \ z)) \ z = (y * ((x * y) \ z)) * a(x,y,(x * y) \ z).
R(R((x \ 1) \ 1,y,z),K(x \ 1,x) * (R(x,y,z) \ u),a(R((x \ 1) \ 1,y,z),K(x \ 1,x),(R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u)) \ u = (K(x \ 1,x) * ((R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u)) * a(R((x \ 1) \ 1,y,z),K(x \ 1,x),(R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u).
T(1 / x,R(x,y,z)) = x \ 1.
T(x,R(x \ 1,y,z)) = (x \ 1) \ 1.
x != ((y / z) \ y) \ u | x = z \ u.
T(1 / x,R((1 / x) \ 1,y,z)) = x \ 1.
(1 / x) \ (x \ 1) = x * T(x \ 1,R((1 / x) \ 1,y,z)).
x * T(x \ 1,R((1 / x) \ 1,y,z)) = (1 / x) \ (x \ 1).
x != (1 / y) \ (y \ 1) | x = K(y \ 1,y).
x * T(x \ 1,R((1 / x) \ 1,y,z)) = K(x \ 1,x).
x * T(x \ 1,R(x,y,z)) = K(x \ 1,x).
T((1 / x) * T((1 / x) \ 1,L(x \ 1,y,z)),L(x \ 1,y,z) * x) = K(L(x \ 1,y,z) \ ((1 / x) \ L(x \ 1,y,z)),L(x \ 1,y,z)).
T(T(x,L(x \ 1,y,z)) / x,L(x \ 1,y,z) * x) = K(L(x \ 1,y,z) \ ((1 / x) \ L(x \ 1,y,z)),L(x \ 1,y,z)).
K(x / y,y / x) * z = z * K(x / y,y / x).
(((x * y) \ z) \ (y \ (x \ z))) / (y \ (x \ z)) = 1 / ((x * y) \ z).
((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x).
x != ((y * R(z,u,w)) / y) * (u * w) | x = (((y * z) / y) * u) * w.
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y.
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y.
x != ((y * z) * u) * ((w * (((y * z) * u) \ (z * u))) / w) | x = (((w * (1 / R(y,z,u))) / w) * R(y,z,u)) * (z * u).
((x * y) * ((z * ((x * y) \ y)) / z)) * u = (((z * (1 / R(x,y,u))) / z) * R(x,y,u)) * (y * u).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u.
(R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z.
(K((x / (y * x)) \ 1,x / (y * x)) * (y * x)) / x = R((x / (y * x)) \ 1,R(1 / y,y,x),y * x).
R((x / (y * x)) \ 1,R(1 / y,y,x),y * x) = (K((x / (y * x)) \ 1,x / (y * x)) * (y * x)) / x.
x != (K((y / z) \ 1,y / z) * z) / y | x = T(z / y,y / z).
R((x / (y * x)) \ 1,R(1 / y,y,x),y * x) = T((y * x) / x,x / (y * x)).
R((x / (y * x)) \ 1,R(1 / y,y,x),y * x) = T(y,x / (y * x)).
T(x / (y * x),T(y,x / (y * x))) = ((x / (y * x)) \ 1) \ 1.
x != T(y / (z * y),T(z,u)) | x = R(z \ 1,z,y).
((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x).
R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1.
R((x / y) \ 1,x / y,y) = ((y / x) \ 1) \ 1.
((x / y) \ 1) \ 1 = T((1 * x) / y,y / x).
T((1 * x) / y,y / x) = ((x / y) \ 1) \ 1.
T((x / y) \ 1,x / y) = R((y / x) \ 1,y / x,x) \ 1.
R((x / y) \ 1,x / y,y) \ 1 = T((y / x) \ 1,y / x).
x != T((y / z) \ 1,y / z) | x = T((y / z) \ 1,z \ y).
R((x / y) \ 1,x / y,y) \ 1 = T((y / x) \ 1,x \ y).
T((1 * x) / y,y / x) \ 1 = T((x / y) \ 1,y \ x).
T(x / y,y / x) \ 1 = T((x / y) \ 1,y \ x).
T(x / y,y / x) = ((x / y) \ 1) \ 1.
T(((x / y) \ 1) \ 1,y) = T(y \ x,y / x).
x != T(((y / z) \ 1) \ 1,z) | x = ((z \ y) \ 1) \ 1.
T(x \ y,x / y) = ((x \ y) \ 1) \ 1.
K(x / y,y / x) * x = y * (((y \ x) \ 1) \ 1).
K(x / y,y / x) * x = y * T(y \ x,x \ y).
x * y != z * T(z \ y,y \ z) | x = K((y \ z) \ 1,y \ z).
K(x / y,y / x) = K((x \ y) \ 1,x \ y).
K((x \ y) \ 1,x \ y) = K(x / y,y / x).
K((x \ y) \ 1,x \ y) * (x / y) = T(x / y,y / x).
K(x \ 1,(y / x) \ y) * ((y / x) / y) = T((y / x) / y,y / (y / x)).
K(x \ 1,x) * ((y / x) / y) = T((y / x) / y,y / (y / x)).
T((x / y) / x,x / (x / y)) = K(y \ 1,y) * ((x / y) / x).
K((x / y) / x,x / (x / y)) = K(y \ 1,y).
K(x \ 1,x) * y = (y / x) * (1 / (1 / x)).
(x / y) * (1 / (1 / y)) = K(y \ 1,y) * x.
x * y != K(z \ 1,z) * (u * y) | x = u * K(z \ 1,z).
(x * (1 / (1 / y))) / y = x * K(y \ 1,y).
x * 1 != y * (1 / y) | x = K(y,y \ 1).
K(x \ 1,x) = K(1 / x,(1 / x) \ 1).
K(1 / x,(1 / x) \ 1) = K(x \ 1,x).
x * (1 / (1 / y)) = K(y \ 1,y) * (x * y).
K(x \ 1,x) * (y * x) = y * (1 / (1 / x)).
x != K(y \ 1,y) * (z * y) | x = (1 / (1 / y)) * T(z,y).
x * (1 / (1 / y)) = (1 / (1 / y)) * T(x,y).
(1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)).
(x * (1 / (1 / y))) / z = K(y \ 1,y) * ((x * y) / z).
K(x \ 1,x) * ((y * x) / z) = (y * (1 / (1 / x))) / z.
T(x,y) = T(x,1 / (1 / y)).
T(x,1 / (1 / y)) = T(x,y).
T(x,1 / y) = T(x,y \ 1).
T(x,y) = T(x,(y \ 1) \ 1).
T(x,(y \ 1) \ 1) = T(x,y).
x != T(((1 / y) * z) * y,1 / y) | x = R(z,1 / y,y).
T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x).
x != T(y / (y / z),y / z) | x = z.
T(1 / (1 / x),x \ 1) = x.
L(T(x,y \ 1) \ z,T(x,1 / y),y \ 1) = (x * (1 / y)) \ ((1 / y) * z).
L(T(x,y \ 1) \ z,T(x,y \ 1),y \ 1) = (x * (1 / y)) \ ((1 / y) * z).
x != L(T(y,z) \ u,T(y,z),z) | x = (y * z) \ (z * u).
(x * (1 / y)) \ ((1 / y) * z) = (x * (y \ 1)) \ ((y \ 1) * z).
K(1 / x,y) = (y * (x \ 1)) \ ((x \ 1) * y).
(x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x).
K(x \ 1,y) = K(1 / x,y).
K(1 / x,y) = K(x \ 1,y).
K(x,y) = K((x \ 1) \ 1,y).
K((x \ 1) \ 1,y) = K(x,y).
((x * y) / z) / ((x * (1 / (1 / y))) / z) = K(y,y \ 1).
x / ((y * (1 / (1 / T(x,y)))) / y) = K(T(x,y),T(x,y) \ 1).
x / (((1 / (1 / x)) * y) / y) = K(T(x,y),T(x,y) \ 1).
x / (1 / (1 / x)) = K(T(x,y),T(x,y) \ 1).
K(T(x,y),T(x,y) \ 1) = x / (1 / (1 / x)).
x != y / (1 / (1 / y)) | x = K(y,y \ 1).
K(T(x,y),T(x,y) \ 1) = K(x,x \ 1).
K(x,x \ 1) * T(1 / (1 / x),y) = T(x,y).
x * y != K(z,z \ 1) * T(1 / (1 / z),u) | x \ T(z,u) = y.
x \ T(x,y) = T(x,y) / x.
T(x,y) / x = x \ T(x,y).
x != T(y \ 1,z) / (y \ 1) | x = y * T(y \ 1,z).
(x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y).
x * y != T(z,u) / z | (z \ T(z,u)) / y = x.
(x \ T(x,y)) / T(x,y) = 1 / x.
(x \ T(x,y)) * x = T(x,y).
L(T(x,y) / x,x,y) = K(x,y).
T(x \ T(x,L(x \ 1,y,z)),L(x \ 1,y,z) * x) = K(L(x \ 1,y,z) \ ((1 / x) \ L(x \ 1,y,z)),L(x \ 1,y,z)).
T(x,x \ T(x,y)) = x.
(x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y).
(x \ 1) \ T(x \ 1,y) != z | z = x * T(x \ 1,y).
(x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z.
T(x,T(y,y \ 1)) = T(x,y).
T(x,x \ 1) * T(y,x) = y * T(x,x \ 1).
((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1).
(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 != T(y,y \ 1) * T(z,y) | x = K(y,y \ 1) * (z * y).
x * T(y,y \ 1) = K(y,y \ 1) * (x * y).
K(x,x \ 1) * (y * x) = y * T(x,x \ 1).
K(x \ 1,x) * (y * T(x,x \ 1)) = y * x.
(x * y) * K(y,y \ 1) = x * T(y,y \ 1).
x != y * T(z,z \ u) | x = y * ((z \ u) \ u).
(x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1).
R(x,y,K(y,y \ 1)) = x.
x * K(y,y \ 1) = (x / y) * ((y \ 1) \ 1).
(x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1).
((x * y) * ((z \ 1) \ 1)) / ((y * z) * K(z,z \ 1)) = R(R(x,y,z),y * z,K(z,z \ 1)).
((x * y) * ((z \ 1) \ 1)) / (y * ((z \ 1) \ 1)) = R(R(x,y,z),y * z,K(z,z \ 1)).
R(R(x,y,z),y * z,K(z,z \ 1)) = ((x * y) * ((z \ 1) \ 1)) / (y * ((z \ 1) \ 1)).
x != ((y * z) * u) / (z * u) | x = R(y,z,u).
R(R(x,y,z),y * z,K(z,z \ 1)) = R(x,y,(z \ 1) \ 1).
(x \ y) * x = (((x \ 1) \ 1) \ y) * T(x,x \ 1).
(((x \ 1) \ 1) \ y) * T(x,x \ 1) = (x \ y) * x.
(x * y) * ((z \ L(y \ ((z \ 1) \ 1),y,x)) * z) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1).
x != R((y / z) * K(z \ 1,z),z,K(z,z \ 1)) | x = y / T(z,z \ 1).
(x / y) * K(y \ 1,y) = x / T(y,y \ 1).
x != y / T(z,z \ u) | x = y / ((z \ u) \ u).
(x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1).
x * y != (z / u) * K(u \ 1,u) | x \ (z / ((u \ 1) \ 1)) = y.
x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y).
T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)).
1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1.
((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)).
x / y = (x / (1 / (1 / y))) * K(y \ 1,y).
(x / (1 / (1 / y))) * K(y \ 1,y) = x / y.
x != L(T(y,z) / y,y,z) | x = L(K(y,z),y,1 / y).
K(x,y) = L(K(x,y),x,1 / x).
L(K(x,y),x,1 / x) = K(x,y).
x * y != L(K(z,u),z,1 / z) | K(z,u) / y = x.
K(x,y) / (x * K(x,y)) = 1 / x.
x != y / ((z \ 1) * y) | x = R(z,z \ 1,y).
1 / (x \ 1) = R(x,x \ 1,K(x \ 1,y)).
R(x,x \ 1,K(x \ 1,y)) = 1 / (x \ 1).
x != y / (z \ y) | x = z.
R(x,x \ 1,K(x \ 1,y)) = x.
L(x,y,z) \ ((x \ 1) * L(x,y,z)) = (x \ 1) * K(x \ 1,L(x,y,z)).
T(x \ 1,L(x,y,z)) = (x \ 1) * K(x \ 1,L(x,y,z)).
(x \ 1) * K(x \ 1,L(x,y,z)) = T(x \ 1,L(x,y,z)).
(x \ 1) * y != T(x \ 1,z) | y = x * T(x \ 1,z).
K(x \ 1,L(x,y,z)) = x * T(x \ 1,L(x,y,z)).
x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)).
x != y * T(y \ 1,L(y,z,u)) | x = L(T(y,y \ 1),z,u) \ L(y,z,u).
K(x \ 1,L(x,y,z)) = L(T(x,x \ 1),y,z) \ L(x,y,z).
L(T(x,x \ 1),y,z) \ L(x,y,z) = K(x \ 1,L(x,y,z)).
L(K(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)).
x != K(L(y,z,u) \ 1,L(y,z,u)) | x = L(K(y \ 1,y),z,u).
L(K(x \ 1,L(x,y,z)),y,z) = L(K(x \ 1,x),y,z).
x \ (y \ ((L(K(z \ 1,z),x,y) * y) * x)) = R(T(K(z \ 1,L(z,x,y)),y * x),y,x).
x \ (y \ (L(K(z \ 1,z),x,y) * (y * x))) = R(T(K(z \ 1,L(z,x,y)),y * x),y,x).
x \ (y \ (y * (x * K(z \ 1,z)))) = R(T(K(z \ 1,L(z,x,y)),y * x),y,x).
R(T(K(x \ 1,L(x,y,z)),z * y),z,y) = y \ (z \ (z * (y * K(x \ 1,x)))).
R(T(K(x \ 1,L(x,y,z)),z * y),z,y) = y \ (y * K(x \ 1,x)).
R(T(K(x \ 1,L(x,y,z)),z * y),z,y) = K(x \ 1,x).
x != T(y \ T(y,L(y \ 1,z,u)),w) | x = y \ T(y,L(y \ 1,z,u)).
K(L(x \ 1,y,z) \ ((1 / x) \ L(x \ 1,y,z)),L(x \ 1,y,z)) = x \ T(x,L(x \ 1,y,z)).
K(L(x \ 1,y,z) \ (L(x \ 1,y,z) * x),L(x \ 1,y,z)) = x \ T(x,L(x \ 1,y,z)).
x \ T(x,L(x \ 1,y,z)) = K(x,L(x \ 1,y,z)).
T(x,K(y,L(y \ 1,z,u))) = x.
T(x,K(1 / y,L(y,z,u))) = x.
T(x,K(y \ 1,L(y,z,u))) = x.
T(K(x \ 1,L(x,y,z)),u) = K(x \ 1,L(x,y,z)).
R(K(x \ 1,L(x,y,z)),z,y) = K(x \ 1,x).
K(x \ 1,L(x,y,z)) = K(x \ 1,x).
R((x * (y \ z)) / z,u,w) * z = (R(x / y,u,w) * y) * (y \ z).
R(x,1 / y,y) != z | (x * (1 / y)) * y = z.
T((x * y) / (R(z,x,y) * (x * y)),R(z,x,y)) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y).
T((x * y) / ((z * x) * y),R(z,x,y)) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y).
((x * y) * z) * T(((x * y) * z) \ (y * z),R(x,y,z)) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z).
((x * y) * z) * T(((x * y) * z) \ (y * z),R(x,y,z)) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z).
x != (y * z) * T((y * z) \ (u * z),w) | x = (y * T(y \ u,w)) * z.
K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * y) * T((x * y) \ y,R(x,y,z))) * z.
K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z.
K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,x) * y) * z.
x * (y * z) != (K(u,w) * y) * z | x = K(u,w).
K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x).
x / ((R(y,z,u) \ x) * K(y \ 1,y)) = (R(y,z,u) \ 1) \ 1.
L(x / y,y / x,x / y) = ((y / x) * (x / y)) / (y / x).
((x / y) * (y / x)) / (x / y) = L(y / x,x / y,y / x).
T(L(x / y,y / x,x / y),y) = ((y / x) * (y \ x)) / (y / x).
x != T(L(y / z,u,w),z) | x = L(z \ y,u,w).
((x / y) * (x \ y)) / (x / y) = L(x \ y,x / y,y / x).
x \ (y * L(y \ x,y / x,x / y)) = (x \ y) * (((x \ y) \ (y / x)) / (y / x)).
(x \ y) * (((x \ y) \ (y / x)) / (y / x)) = x \ (y * L(y \ x,y / x,x / y)).
(x \ y) * (((x \ y) \ (y / x)) / (y / x)) = x \ (K(y / x,(y / x) \ 1) * x).
x != y \ (K(z,z \ 1) * y) | x = K(z,z \ 1).
(x \ y) * (((x \ y) \ (y / x)) / (y / x)) = K(y / x,(y / x) \ 1).
T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y).
T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y).
T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y).
T(x,y) * z != T(x * (1 / x),y) | z = (T(x,y) \ x) / x.
(1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x.
T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x).
x \ (T(x,y) \ x) = (1 / x) * ((T(x,y) \ 1) * x).
(1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x).
(1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z.
T(x,y) \ 1 = (x \ 1) * (T(x,y) \ x).
(x \ 1) * (T(x,y) \ x) = T(x,y) \ 1.
R(x,1 / y,K(y \ 1,y)) = x.
x != R(y / (1 / z),1 / z,K(z \ 1,z)) | x = K(z \ 1,z) * (y / (z \ 1)).
x / (1 / y) = K(y \ 1,y) * (x / (y \ 1)).
K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x).
(x / (1 / y)) \ K(y \ 1,y) = (x / (y \ 1)) \ 1.
(1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)).
T(x,y / (x * y)) * y = K((y / (x * y)) \ 1,y / (x * y)) * (x * y).
K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x.
T(x,y) = T(T(1 / (1 / x),y),x \ 1).
T(T(1 / (1 / x),y),x \ 1) = T(x,y).
T(1 / (1 / x),y / (x * y)) = x.
T(x,x \ 1) = T(x,y / (x * y)).
T(x,y / (x * y)) = T(x,x \ 1).
K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x.
K((x * y) / y,y / (x * y)) * (x * y) = T(x,x \ 1) * y.
x * (y * z) != T(y,y \ 1) * z | x = K(y,y \ 1).
K((x * y) / y,y / (x * y)) = K(x,x \ 1).
K(x,y / (x * y)) = K(x,x \ 1).
K(x / y,y / x) = K(x / y,(x / y) \ 1).
K(x / y,(x / y) \ 1) = K(x / y,y / x).
K(x / y,y / x) * z = K(y / x,x / y) \ z.
K(x / y,y / x) \ z = K(y / x,x / y) * z.
(x * R(y,z,u)) * y = (x * y) * R(y,z,u).
x != (y * (y \ z)) * u | x = z * u.
(x * R(x \ y,z,u)) * (x \ y) = y * R(x \ y,z,u).
(x * R(T(y,x),z,u)) * (x \ (y * x)) = (y * x) * R(x \ (y * x),z,u).
(R(x,y,z) * u) * (u \ (x * u)) = (x * u) * R(u \ (x * u),y,z).
(R(x,y,z) * u) * T(x,u) = (x * u) * R(u \ (x * u),y,z).
(x * y) * R(y \ (x * y),z,u) = (R(x,z,u) * y) * T(x,y).
(x * y) * R(T(x,y),z,u) = (R(x,z,u) * y) * T(x,y).
(R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z).
x * y != (R(z,u,w) * v5) * T(z,v5) | x \ ((z * v5) * R(T(z,v5),u,w)) = y.
(T(x,y) * (R(x,z,u) * y)) \ ((x * y) * R(T(x,y),z,u)) = K(R(x,z,u) * y,T(x,y)).
x * (y \ T(y * (x \ z),x)) = ((x \ (z / (y \ 1))) * x) * (y \ 1).
((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)).
((x / (y * x)) * y) * ((x / (y * x)) \ 1) = y.
((x / (y * x)) * y) \ y = (x / (y * x)) \ 1.
((x \ 1) * x) \ x = (R(x \ 1,y,z) / (x * R(x \ 1,y,z))) \ 1.
(R(x \ 1,y,z) / (x * R(x \ 1,y,z))) \ 1 = ((x \ 1) * x) \ x.
(R(x \ 1,y,z) / (x * R(x \ 1,y,z))) \ 1 = K(x \ 1,x) \ x.
(R((x \ y) \ 1,z,u) / ((x \ y) * R((x \ y) \ 1,z,u))) \ 1 = K(x / y,y / x) \ (x \ y).
x != K(y / z,z / y) \ u | x = K(z / y,y / z) * u.
(R((x \ y) \ 1,z,u) / ((x \ y) * R((x \ y) \ 1,z,u))) \ 1 = K(y / x,x / y) * (x \ y).
x != K(y / z,z / y) * u | x = u * K(y / z,z / y).
(R((x \ y) \ 1,z,u) / ((x \ y) * R((x \ y) \ 1,z,u))) \ 1 = (x \ y) * K(y / x,x / y).
((x \ y) \ 1) \ 1 = (x \ y) * K(y / x,x / y).
(x \ y) * K(y / x,x / y) = ((x \ y) \ 1) \ 1.
x * y != (x \ 1) \ 1 | y = K(x,x \ 1).
K(x / y,y / x) = K(y \ x,(y \ x) \ 1).
K(x \ y,(x \ y) \ 1) = K(y / x,x / y).
x != K(y,y \ 1) | x = y * (1 / y).
K(x / y,y / x) = (y \ x) * (1 / (y \ x)).
(x \ y) * (1 / (x \ y)) = K(y / x,x / y).
x \ (K(x / y,y / x) * y) = L(1 / (y \ x),y \ x,y).
x != y \ (K(y / z,z / y) * z) | x = 1 / (1 / (y \ z)).
L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)).
x != L(1 / (y \ z),y \ z,y) | x = ((y \ z) * (z \ y)) / (y \ z).
1 / (1 / (x \ y)) = ((y \ x) * (x \ y)) / (y \ x).
((x \ y) * (y \ x)) / (x \ y) = 1 / (1 / (y \ x)).
(1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y).
x * y != (1 / (1 / (z \ u))) * (u \ z) | x \ ((u \ z) * (z \ u)) = y.
((x \ y) * (y \ x)) \ ((y \ x) * (x \ y)) = K((x \ y) \ 1,x \ y).
K(x \ y,y \ x) = K((y \ x) \ 1,y \ x).
K((x \ y) \ 1,x \ y) = K(y \ x,x \ y).
((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z.
x \ (y * K(x \ y,y \ x)) = T(x \ y,y \ x).
((x \ (x / y)) * z) * K(y,x \ (x / y)) = (1 / (1 / (x \ (x / y)))) * z.
x != (y * z) * K(z,y) | x = z * y.
(1 / (1 / (x \ (x / y)))) * y = y * (x \ (x / y)).
x != K(y / z,z / y) | x = K(y / z,(y / z) \ 1).
(x \ y) * (1 / (x \ y)) = K(y / x,(y / x) \ 1).
(x \ y) * z != K(y / x,(y / x) \ 1) | z = ((x \ y) \ (y / x)) / (y / x).
1 / (x \ y) = ((x \ y) \ (y / x)) / (y / x).
((x \ y) \ (y / x)) / (y / x) = 1 / (x \ y).
(1 / (x \ y)) * (y / x) = (x \ y) \ (y / x).
(1 / x) * (y / (y / x)) = ((y / x) \ y) \ (y / (y / x)).
((x / y) \ x) \ (x / (x / y)) = (1 / y) * (x / (x / y)).
(1 / x) * (y / (y / x)) = x \ (y / (y / x)).
T(1 / x,y / (y / x)) = (y / (y / x)) \ (x \ (y / (y / x))).
(x / (x / y)) \ (y \ (x / (x / y))) = T(1 / y,x / (x / y)).
x != (y / (y / z)) \ (z \ (y / (y / z))) | x = z \ 1.
T(1 / x,y / (y / x)) = x \ 1.
x != T(y \ z,z \ y) | x = ((y \ z) \ 1) \ 1.
x \ (y * K(x \ y,y \ x)) = ((x \ y) \ 1) \ 1.
((T(x,y * z) * y) * z) \ ((x * y) * z) = K(y * z,(y * z) \ ((x * y) * z)).
((T(x,y * z) * y) * z) \ ((x * y) * z) = K(y * z,R(T(x,y * z),y,z)).
x != K(y,R(z,u,w)) | x = K(y,z).
((T(x,y * z) * y) * z) \ ((x * y) * z) = K(y * z,T(x,y * z)).
K((x \ (y \ z)) \ ((x \ (y \ z)) / (((((y * x) \ z) \ (x \ (y \ z))) / (x \ (y \ z))) \ 1)),x \ (y \ z)) = ((((y * x) \ z) \ (x \ (y \ z))) / (x \ (y \ z))) \ (((y * x) \ z) \ 1).
K((x \ (y \ z)) \ ((x \ (y \ z)) / ((1 / ((y * x) \ z)) \ 1)),x \ (y \ z)) = ((((y * x) \ z) \ (x \ (y \ z))) / (x \ (y \ z))) \ (((y * x) \ z) \ 1).
K((x \ (y \ z)) \ ((x \ (y \ z)) / ((y * x) \ z)),x \ (y \ z)) = ((((y * x) \ z) \ (x \ (y \ z))) / (x \ (y \ z))) \ (((y * x) \ z) \ 1).
((((x * y) \ z) \ (y \ (x \ z))) / (y \ (x \ z))) \ (((x * y) \ z) \ 1) = K((y \ (x \ z)) \ ((y \ (x \ z)) / ((x * y) \ z)),y \ (x \ z)).
a(x \ y,z,u) = a(y / x,z,u).
a(x / y,z,u) = a(y \ x,z,u).
((((x * y) \ z) \ (y \ (x \ z))) / (y \ (x \ z))) \ (((x * y) \ z) \ 1) = K((y \ (x \ z)) \ (((x * y) \ z) \ (y \ (x \ z))),y \ (x \ z)).
((((x * y) \ z) \ (y \ (x \ z))) / (y \ (x \ z))) \ (((x * y) \ z) \ 1) = K(((x * y) \ z) \ 1,y \ (x \ z)).
(1 / ((x * y) \ z)) \ (((x * y) \ z) \ 1) = K(((x * y) \ z) \ 1,y \ (x \ z)).
K(((x * y) \ z) \ 1,y \ (x \ z)) = K(((x * y) \ z) \ 1,(x * y) \ z).
K(((x * y) \ z) \ 1,(x * y) \ z) = K(((x * y) \ z) \ 1,y \ (x \ z)).
x != K((y \ z) \ 1,y \ z) | x = K(z \ y,y \ z).
K(((x * y) \ z) \ 1,y \ (x \ z)) = K(z \ (x * y),(x * y) \ z).
x \ ((y * z) * K(x \ (y * z),(y * z) \ x)) = T(x \ (y * z),z \ (y \ x)).
x != y \ (z * K(y \ z,z \ y)) | x = ((y \ z) \ 1) \ 1.
T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1.
T(L(x,y,z),(y * x) \ (z \ (z * y))) = (((z * y) \ (z * (y * x))) \ 1) \ 1.
T(L(x,y,z),(y * x) \ y) = (((z * y) \ (z * (y * x))) \ 1) \ 1.
T(L(x,y,z),(y * x) \ y) = (L(x,y,z) \ 1) \ 1.
(L(x,y,z) \ 1) \ 1 = L(T(x,(y * x) \ y),y,z).
L(T(x,(y * x) \ y),y,z) = (L(x,y,z) \ 1) \ 1.
L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1.
(L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z).
L(T(x,x \ 1),y,z) = (L(x,y,z) \ 1) \ 1.
(L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z).
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,(L(x,y,z) \ 1) \ 1,L(x,y,z) \ 1).
L(T(x,x \ 1),y,z) \ L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)).
x != L(T(y,y \ 1),z,u) \ L(y,z,u) | x = K(y \ 1,L(y,z,u)).
K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)).
K(x \ 1,L(x,y,z)) = L(K(x \ 1,x),y,z).
L(K(x \ 1,x),y,z) = K(x \ 1,L(x,y,z)).
x != K(y \ 1,L(y,z,u)) | x = K(y \ 1,y).
L(K(x \ 1,x),y,z) = K(x \ 1,x).
x * y != L(K(z \ 1,z),u,w) | x \ K(z \ 1,z) = y.
x \ K(y \ 1,y) = (x \ 1) * K(y \ 1,y).
(x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y).
K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z).
x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z).
x * (K(y \ 1,y) * z) = (K(y \ 1,y) * x) * z.
(K(x \ 1,x) * y) * z = y * (K(x \ 1,x) * z).
x * (K(y \ 1,y) * z) = (x * z) * K(y \ 1,y).
(x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y).
(x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x).
K(x \ 1,x) * (y * (K(x,x \ 1) * z)) = y * z.
x * y = (K(z \ 1,z) * x) * (K(z,z \ 1) * y).
(K(x \ 1,x) * y) * (K(x,x \ 1) * z) = y * z.
x * (K(y,y \ 1) * z) = (x * z) * K(y,y \ 1).
(x * y) * K(z,z \ 1) = x * (K(z,z \ 1) * y).
R(x,y,K(z,z \ 1)) = x.
x * K(y,y \ 1) != T(y,y \ 1) * z | x = y * z.
T(x,x \ 1) * y = x * (K(x,x \ 1) * y).
x * (K(x,x \ 1) * y) = T(x,x \ 1) * y.
x * K(y,y \ 1) != (z * K(y,y \ 1)) * u | x = z * u.
(x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z).
x != R(R(y,z,u),z * u,K(u,u \ 1)) | x = R(y,z,(u \ 1) \ 1).
R(x,y,z) = R(x,y,(z \ 1) \ 1).
R(x,y,(z \ 1) \ 1) = R(x,y,z).
x != R(R(y,z,K(u \ 1,u)),z * K(u \ 1,u),K(u,u \ 1)) | x = y.
R(x,y,K(z \ 1,z)) = x.
x != R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)) | x = T(y,z).
T(x,y * K(z,z \ 1)) = T(x,y).
x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1).
R(x,y,K(z \ 1,R(z,u,w))) = x.
x \ K(y,y \ 1) = (x \ 1) * K(y,y \ 1).
(x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1).
x != y * K(z,z \ 1) | x = K(z,z \ 1) * y.
x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z).
x \ (1 / y) = K(y,y \ 1) * (x \ (y \ 1)).
K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x).
L(x,K(y,y \ 1),z) = x.
(x * (y * (K(z,z \ 1) * u))) \ ((x * (y * K(z,z \ 1))) * u) = a(x,y * K(z,z \ 1),u).
((x * y) * (K(z,z \ 1) * u)) / ((y * K(z,z \ 1)) * u) = R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u).
(x * (K(y,y \ 1) * z)) * u = (x * z) * (K(y,y \ 1) * u).
L(x,K(y \ 1,y),z) = x.
L(x,1,y) = x.
x != y | x = z \ (z * y).
L(x,1,y) = z \ (z * x).
L(x,1,y) != z | z = x.
a(x,K(y \ 1,y),z) = 1.
((x * K(y \ 1,y)) * (z * u)) \ ((x * (K(y \ 1,y) * z)) * u) = a(x * K(y \ 1,y),L(z,K(y \ 1,y),x),u).
x != R(y,z * T(z \ 1,u),(u \ 1) \ 1) | x = ((y * (z * T(z \ 1,u))) * ((u \ 1) \ 1)) / ((u \ 1) \ (z * T(z \ 1,u))).
R(x,y * T(y \ 1,z),z) = ((x * (y * T(y \ 1,z))) * ((z \ 1) \ 1)) / ((z \ 1) \ (y * T(y \ 1,z))).
((x * (y * T(y \ 1,z))) * ((z \ 1) \ 1)) / ((z \ 1) \ (y * T(y \ 1,z))) = R(x,y * T(y \ 1,z),z).
R(x,y,z \ 1) = R(x,y,1 / z).
R(x,y,1 / z) = R(x,y,z \ 1).
(x * (y * K(z,z \ 1))) * u = (x * y) * (K(z,z \ 1) * u).
(x * (y * (K(z,z \ 1) * u))) \ ((x * y) * (K(z,z \ 1) * u)) = a(x,y * K(z,z \ 1),u).
a(x,y,K(z,z \ 1) * u) = a(x,y * K(z,z \ 1),u).
a(x,y * K(z,z \ 1),u) = a(x,y,K(z,z \ 1) * u).
(K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z).
((1 / (1 / x)) * y) \ z = K(x,x \ 1) * ((x * y) \ z).
K(x,x \ 1) * ((x * y) \ z) = ((1 / (1 / x)) * y) \ z.
a(((1 / (1 / x)) * y) \ z,u,w) = a((x * y) \ z,u,w).
((x * y) * (K(z,z \ 1) * u)) / (y * (K(z,z \ 1) * u)) = R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u).
R(x,y,K(z,z \ 1) * u) = R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u).
R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u) = R(x,y,K(z,z \ 1) * u).
R(R(x,y,K(z,z \ 1)),K(z,z \ 1) * y,u) = R(x,y,K(z,z \ 1) * u).
R(x,K(y,y \ 1) * z,u) = R(x,z,K(y,y \ 1) * u).
(x * (1 / y)) * K(y \ 1,y) = x * (y \ 1).
x * K(y \ 1,y) = (x / (1 / y)) * (y \ 1).
(x / (1 / y)) * (y \ 1) = x * K(y \ 1,y).
x * y != (z / u) * K(u \ 1,u) | (z / ((u \ 1) \ 1)) / y = x.
(x / ((y \ 1) \ 1)) / (y \ 1) = (x / y) / (1 / y).
T(x,y * K(z \ 1,z)) = T(x,y).
T(x,(1 / (1 / y)) * z) = T(x,y * z).
T(x,y * (z \ (z / y))) = T(x,(z \ (z / y)) * y).
T(x,(y \ (y / z)) * z) = T(x,z * (y \ (y / z))).
x != R(y,z,z \ 1) | x = (y * z) * (z \ 1).
R(x,y,1 / y) = (x * y) * (y \ 1).
(x * y) * (y \ 1) = R(x,y,1 / y).
x \ ((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,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).
T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z).
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 != K(y \ 1,y) * T(K(y,y \ 1) * z,u) | x = (y \ T(y * (z / y),u)) * y.
T(x,y) = (z \ T(z * (x / z),y)) * z.
(x \ T(x * (y / x),z)) * x = T(y,z).
x * y != K(z \ 1,z) * T(K(z,z \ 1) * u,w) | T(u,w) / y = x.
T(x,y) / z = z \ T(z * (x / z),y).
x \ T(x * (y / x),z) = T(y,z) / x.
x * (T(y,z) / x) = T(x * (y / x),z).
x \ T(x * y,z) = T(y * x,z) / x.
T(x * y,z) / y = y \ T(y * x,z).
x != T(y * z,y) / z | x = R((z * y) / z,z,T(y,z)).
x \ T(x * y,y) = R((x * y) / x,x,T(y,x)).
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 != L(y \ T(z,u),y,u) | x = (u * y) \ (z * u).
(x * y) / x = (y * x) \ ((x * y) * y).
(x * y) \ ((y * x) * x) = (y * x) / y.
(x \ T(y,z)) * x = T((x \ y) * x,z).
1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1.
R((x / K(y,y \ 1)) / (z \ 1),z \ 1,K(y,y \ 1)) = x / (z \ K(y,y \ 1)).
(x \ K(y,y \ 1)) \ z = (x \ 1) \ (K(y \ 1,y) * z).
(x \ 1) \ (K(y \ 1,y) * z) = (x \ K(y,y \ 1)) \ z.
R(R((x \ 1) \ 1,y,z),K(x \ 1,x) * (R(x,y,z) \ u),1) \ u = (K(x \ 1,x) * ((R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u)) * a(R((x \ 1) \ 1,y,z),K(x \ 1,x),(R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u).
(K(x \ 1,x) * ((R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u)) * a(R((x \ 1) \ 1,y,z),K(x \ 1,x),(R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u) = R(R((x \ 1) \ 1,y,z),K(x \ 1,x) * (R(x,y,z) \ u),1) \ u.
(K(x \ 1,x) * ((R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u)) * a(R((x \ 1) \ 1,y,z),K(x \ 1,x),(R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u) = R((x \ 1) \ 1,y,z) \ u.
(K(x \ 1,x) * (R(x,y,z) \ u)) * a(R((x \ 1) \ 1,y,z),K(x \ 1,x),(R((x \ 1) \ 1,y,z) * K(x \ 1,x)) \ u) = R((x \ 1) \ 1,y,z) \ u.
(K(x \ 1,x) * (R(x,y,z) \ u)) * 1 = R((x \ 1) \ 1,y,z) \ u.
K(x \ 1,x) * (R(x,y,z) \ u) = R((x \ 1) \ 1,y,z) \ u.
R((x \ 1) \ 1,y,z) \ u = (R(x,y,z) \ u) * K(x \ 1,x).
(R(x,y,z) \ u) * K(x \ 1,x) = R((x \ 1) \ 1,y,z) \ u.
x / (R((y \ 1) \ 1,z,u) \ x) = (R(y,z,u) \ 1) \ 1.
(R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z).
1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1.
(x \ K(y \ 1,y)) * z = K(y \ 1,y) * ((x \ 1) * z).
K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z.
(x \ K(y \ 1,y)) \ z = (x \ 1) \ (K(y,y \ 1) * z).
(x \ 1) \ (K(y,y \ 1) * z) = (x \ K(y \ 1,y)) \ z.
x != y \ (K(z,z \ 1) * u) | x = (y \ u) * K(z,z \ 1).
(x \ K(y \ 1,y)) \ z = ((x \ 1) \ z) * K(y,y \ 1).
((x \ 1) \ y) * K(z,z \ 1) = (x \ K(z \ 1,z)) \ y.
1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1.
1 / R(x,y,z) = R(1 / (1 / x),y,z) \ 1.
R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z).
1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z).
x != y \ (K(z \ 1,z) * u) | x = K(z \ 1,z) * (y \ u).
(x \ K(y,y \ 1)) \ z = K(y \ 1,y) * ((x \ 1) \ z).
K(x \ 1,x) * ((y \ 1) \ z) = (y \ K(x,x \ 1)) \ z.
x != y \ (z * 1) | x = y \ z.
(x \ K(y,y \ 1)) \ 1 = (x \ 1) \ K(y \ 1,y).
x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x.
x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x.
((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x).
x != T(y \ 1,z) * L(T(y \ 1,z) \ u,w,v5) | x = T(y \ L(y * ((z * u) / z),w,v5),z).
(x \ 1) * (K(x \ 1,(x \ 1) \ 1) * L(T(x \ 1,(x \ 1) \ 1) \ y,z,u)) = T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1).
(x \ 1) * (K(x \ 1,x) * L(T(x \ 1,(x \ 1) \ 1) \ y,z,u)) = T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1).
T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1) = (x \ 1) * (K(x \ 1,x) * L(T(x \ 1,(x \ 1) \ 1) \ y,z,u)).
T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1) = (x \ 1) * (K(x \ 1,x) * L((((x \ 1) \ 1) \ 1) \ y,z,u)).
x * R(x \ (y * (z \ x)),u,w) = (R(y / z,u,w) * z) * (z \ x).
(R(x / y,z,u) * y) * (y \ w) = w * R(w \ (x * (y \ w)),z,u).
(x * R(x \ y,z,u)) * (x \ w) = w * R(w \ (y * (x \ w)),z,u).
(x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u).
(x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z).
x != (y * z) \ (y * (K(u \ 1,u) * (z * w))) | x = L(K(u \ 1,u) * w,z,y).
L(x,y,z) * K(u \ 1,u) = L(K(u \ 1,u) * x,y,z).
L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u).
K(x \ 1,x) * L(y,z,u) = L(K(x \ 1,x) * y,z,u).
T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1) = (x \ 1) * L(K(x \ 1,x) * ((((x \ 1) \ 1) \ 1) \ y),z,u).
T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1) = (x \ 1) * L((((x \ 1) \ 1) \ K(x,x \ 1)) \ y,z,u).
T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1) = (x \ 1) * L((x \ 1) \ y,z,u).
x != (y \ 1) * L((y \ 1) \ z,u,w) | x = y \ L(y * z,u,w).
T(x \ L(x * ((((x \ 1) \ 1) * y) / ((x \ 1) \ 1)),z,u),(x \ 1) \ 1) = x \ L(x * y,z,u).
x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z).
((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z).
(x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u).
(x * (y \ 1)) * z = (x * (1 / y)) * (K(y \ 1,y) * z).
(x * (1 / y)) * (K(y \ 1,y) * z) = (x * (y \ 1)) * z.
((x * (y \ 1)) * z) / ((y \ 1) * z) = R(x,1 / y,K(y \ 1,y) * z).
R(x,1 / y,K(y \ 1,y) * z) = ((x * (y \ 1)) * z) / ((y \ 1) * z).
R(x,1 / y,K(y \ 1,y) * z) = R(x,y \ 1,z).
R(x,1 / y,1 / (1 / y)) = R(x,y \ 1,y).
x != R(y,z,1 / u) | x = R(y,z,u \ 1).
R(x,y \ 1,y) = R(x,1 / y,(1 / y) \ 1).
R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y).
R(x,1 / y,y) = R(x,y \ 1,y).
(x * (1 / y)) * y = R(x,y \ 1,y).
x * y = R(x / (1 / y),y \ 1,y).
R(x / (1 / y),y \ 1,y) = x * y.
x != R(y,1 / z,z) | x = T(((1 / z) * y) * z,z \ 1).
R(x,y \ 1,y) = T(((1 / y) * x) * y,y \ 1).
T(((1 / x) * y) * x,x \ 1) = R(y,x \ 1,x).
x * y != (z * u) * K(z,z \ 1) | (((z \ 1) \ 1) * u) / y = x.
(((x \ 1) \ 1) * y) / ((x \ 1) \ 1) = (x * y) / x.
(L(x \ 1,y,z) * u) / ((L(1 / x,y,z) \ 1) \ 1) = (L(1 / x,y,z) * u) / L(1 / x,y,z).
T(x \ L(x * ((x * y) / x),z,u),(x \ 1) \ 1) = x \ L(x * y,z,u).
(L(x \ 1,y,z) * u) / L(x \ 1,y,z) = (L(1 / x,y,z) * u) / L(1 / x,y,z).
(L(1 / x,y,z) * u) / L(1 / x,y,z) = (L(x \ 1,y,z) * u) / L(x \ 1,y,z).
(R(x,y,z) / (L(1 / u,w,v5) \ 1)) / L(1 / u,w,v5) = (L(u \ 1,w,v5) * R(L(1 / u,w,v5) \ (x / (L(1 / u,w,v5) \ 1)),y,z)) / L(u \ 1,w,v5).
(L(x \ 1,y,z) * R(L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)),w,v5)) / L(x \ 1,y,z) = (R(u,w,v5) / (L(1 / x,y,z) \ 1)) / L(1 / x,y,z).
x != T(y,(z \ 1) \ 1) | x = T(y,z).
x \ L(x * y,z,u) = T(x \ L(x * ((x * y) / x),z,u),x).
T(x \ L(x * ((x * y) / x),z,u),x) = x \ L(x * y,z,u).
x != T(y \ L(y * ((z * u) / z),w,v5),z) | x = T(y \ 1,z) * L(T(y \ 1,z) \ u,w,v5).
x \ L(x * y,z,u) = T(x \ 1,x) * L(T(x \ 1,x) \ y,z,u).
T(x \ 1,x) * L(T(x \ 1,x) \ y,z,u) = x \ L(x * y,z,u).
x != (1 / y) \ L((1 / y) * z,u,w) | x = y * L(y \ z,u,w).
T((1 / x) \ 1,1 / x) * L(T((1 / x) \ 1,1 / x) \ y,z,u) = x * L(x \ y,z,u).
x != (1 / y) * L((1 / y) \ z,u,w) | x = L(z * y,u,w) / y.
T((1 / (1 / x)) \ 1,1 / (1 / x)) * L(T((1 / (1 / x)) \ 1,1 / (1 / x)) \ y,z,u) = L(y * x,z,u) / x.
T(1 / x,1 / (1 / x)) * L(T((1 / (1 / x)) \ 1,1 / (1 / x)) \ y,z,u) = L(y * x,z,u) / x.
(x \ 1) * L(T((1 / (1 / x)) \ 1,1 / (1 / x)) \ y,z,u) = L(y * x,z,u) / x.
(x \ 1) * L(T(1 / x,1 / (1 / x)) \ y,z,u) = L(y * x,z,u) / x.
(x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x.
L(x * y,z,u) / y = y \ L(y * x,z,u).
(x \ L(x * y,z,u)) * x = L(y * x,z,u).
(x \ L(y,z,u)) * x = L((x \ y) * x,z,u).
(x \ (y \ (z * u))) * x = L((x \ ((z \ y) \ u)) * x,z \ y,z).
L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x.
(x \ L(x,y,z)) * x = L(x,y,z).
(x * (y \ z)) * L((z \ T(y,y \ z)) * z,y \ z,x) = (x * K(z \ y,z)) * z.
(x * y) * L((z \ (y \ ((z \ 1) \ 1))) * z,y,x) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1).
x * (y * ((z \ (y \ ((z \ 1) \ 1))) * z)) = (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)).
(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,K(y,z),z) = x.
(x * y) \ ((y * x) * x) = K(y,x) * x.
x != (y * z) \ ((z * y) * y) | x = (z * y) / z.
K(x,y) * y = (x * y) / x.
(x * y) / x = K(x,y) * y.
x \ ((y * x) / y) = K(y,x).
x != K(y,z) * z | x = z * K(y,z).
(x * y) / x = y * K(x,y).
x / y = K(y,y \ x) * (y \ x).
K(x,x \ y) * (x \ y) = y / x.
((x * y) / x) * (y \ z) = K(x,y) * z.
x / (x / y) = y * K(x / y,y).
T(x,y) * K(y,T(x,y)) = x.
x != ((y \ 1) * (y * z)) / (y \ 1) | x = L(z / (y \ 1),y \ 1,y).
(x * y) * K(x \ 1,x * y) = L(y / (x \ 1),x \ 1,x).
(x \ 1) * y != (z * (x \ 1)) / z | y = x * ((z * (x \ 1)) / z).
K(x,y \ 1) = y * ((x * (y \ 1)) / x).
x * ((y * (x \ 1)) / y) = K(y,x \ 1).
x / y = (y \ x) * K(y,y \ x).
(x \ y) * K(x,x \ y) = y / x.
(x * K(y,x)) * y = y * x.
T(x * K(y,x),y) = x.
(x * T(y,z)) / x = T(y * K(x,y),z).
T(x * K(y,x),z) = (y * T(x,z)) / y.
T(x * K(y,x),z) * y = y * T(x,z).
x != (y * K(z,y)) * u | x = K(z,y) * (y * u).
x * y = K(x,y) * (y * x).
K(x,y) * (y * x) = x * y.
L(x,y,z * u) = L(x,y,u * z).
a(x * y,z,u) = a(y * x,z,u).
x != ((y * z) / y) * (z \ y) | x = T(y,z).
K(x,y) * x = T(x,y).
x * (K(y,x) * z) = ((y * x) / y) * z.
((x * y) / x) * z = y * (K(x,y) * z).
x * y != T(y,z) | x = y \ T(y,z).
K(x,y) = x \ T(x,y).
x \ T(x,y) = K(x,y).
T(x,y) * z = K(x,y) * (x * z).
K(x,y) * (x * z) = T(x,y) * z.
T(x,y) * (x \ z) = K(x,y) * z.
(K(x,y) * z) \ T(x,y) != u | z \ x = u.
K(x,y) * R(x,z,u) = R(T(x,y),z,u).
T(x,y) * (x \ 1) = K(x,y).
x != T(y,z) * (y \ u) | x = y \ (T(y,z) * u).
K(x,y) * z = x \ (T(x,y) * z).
x \ (T(x,y) * z) = K(x,y) * z.
x != T(y,z) * (y \ (T(y,z) \ u)) | x = y \ u.
K(x,y) * (T(x,y) \ z) = x \ z.
x * y != T(z,u) * (z \ (T(z,u) \ w)) | (z \ w) / y = x.
(x \ y) / (T(x,z) \ y) = K(x,z).
T(x,y) * T(z,x) = K(x,y) * (z * x).
T(x,y) * (x \ 1) != z | z = K(x,y).
T(x,y) * (x \ 1) != z | K(x,y) = z.
(x * T(y,z)) \ (x * (K(y,z) * u)) != w | L(y \ u,T(y,z),x) = w.
x * (K(x,y) * z) = T(x,y) * z.
T(x,y) * (R(x,z,u) * (x \ w)) = K(x,y) * (R(x,z,u) * w).
(x / y) * z != T(x / y,u) * x | z = y * T(y \ x,u).
K(x / y,z) * x = y * T(y \ x,z).
(T(R(x,y,z),u) * w) * T(x,K(R(x,y,z),u) * w) = (x * (K(R(x,y,z),u) * w)) * R(T(x,K(R(x,y,z),u) * w),y,z).
(x * (K(R(x,y,z),u) * w)) * R(T(x,K(R(x,y,z),u) * w),y,z) = (T(R(x,y,z),u) * w) * T(x,K(R(x,y,z),u) * w).
x * T(x \ y,z) != u * y | K(y / x,z) = u.
x * T(x \ 1,y) = K(x \ 1,y).
x * K(x,y) = T(x,y).
L(K(x,y),x,z) = (z * x) \ (z * T(x,y)).
(x * y) \ (x * T(y,z)) = L(K(y,z),y,x).
x * K(x,y) != z | z = T(x,y).
x * K(x,y) != z | T(x,y) = z.
x * (y * T(K(y,x),z)) = (x * y) * T(K(y,x),z).
(x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)).
x \ T(x,y \ x) = K(x,x * (y \ 1)).
K(x,x * (y \ 1)) = x \ T(x,y \ x).
T(x,K(x,y)) = x.
x \ T(x,y) = K(x,y * K(z,z \ 1)).
K(x,y * K(z,z \ 1)) = x \ T(x,y).
T(x,y) * K(x,z) = K(x,y) * T(x,z).
T(x,y) != x * z | K(x,y) = z.
x \ T(x,y) != z | z = K(x,y).
x \ T(x,y) != z | K(x,y) = z.
x * K(x,y) = T(x,R(y,z,u)).
T(x,R(y,z,u)) = x * K(x,y).
x != y * K(y,z) | x = T(y,z).
T(x,R(y,z,u)) = T(x,y).
R(x,y,z) \ u = T(u / R(x,y,z),x).
T(x / R(y,z,u),y) = R(y,z,u) \ x.
R(x,y,z) * T(u,x) = u * R(x,y,z).
T(x,(y * z) / (u * z)) = T(x,y / u).
T(x,y * z) = T(x,y / (1 / z)).
T(x,y / (1 / z)) = T(x,y * z).
T(x,y * (z \ 1)) = T(x,y / z).
x * (R(x,y,z) \ u) = (u / R(x,y,z)) * x.
(x / R(y,z,u)) * y = y * (R(y,z,u) \ x).
((1 / x) * (R(1 / x,y,z) \ u)) * x = R(u / R(1 / x,y,z),x \ 1,x).
T(x * y,x) = y * R(x,y,x).
x * R(y,x,y) = T(y * x,y).
R(T(x,y),z,u) * (x * y) = (T(x,x * y) * y) * R(T(x,y),z,u).
(T(x,x * y) * y) * R(T(x,y),z,u) = R(T(x,y),z,u) * (x * y).
x != R(T(y,z),u,w) | x = T(R(y,u,w),z).
K(x,y) * R(x,z,u) = T(R(x,z,u),y).
R(T(x,y),z,u) * w = K(x,y) * (R(x,z,u) * w).
K(x,y) * (R(x,z,u) * w) = R(T(x,y),z,u) * w.
x * y != T(y,z) | x = K(y,z).
K(x,y) = K(R(x,z,u),y).
K(R(x,y,z),u) = K(x,u).
K(R(x,y,z),u) = R(K(x,u),w,v5).
R(K(x,y),z,u) = K(R(x,w,v5),y).
x != K(1 / y,z) | x = K(y \ 1,z).
K(R(1 / x,y,z),u) = K(x \ 1,u).
K((x * y) / (z * y),u) = K(x / z,u).
K((x * y) / z,u) = K(x / (z / y),u).
K(x,y) = K(L(x,z,x),y).
K(L(x,y,x),z) = K(x,z).
K(R(x,y,z),u) * x = T(x,u).
K(x / (y * x),z) = K(y \ 1,z).
K(x / y,z) = K((y / x) \ 1,z).
K((x / y) \ 1,z) = K(y / x,z).
K((x * y) / ((z * x) * y),u) = K(R(z,x,y) \ 1,u).
x / (x / (y * x)) = (y * x) * K(y \ 1,y * x).
x != (y * z) * K(y \ 1,y * z) | x = L(z / (y \ 1),y \ 1,y).
x / (x / (y * x)) = L(x / (y \ 1),y \ 1,y).
L(x / (y \ 1),y \ 1,y) = x / (x / (y * x)).
x / (x / ((y / z) * x)) = ((y / z) * x) * K(z / y,(y / z) * x).
x != y * K(z,y) | x = (z * y) / z.
x / (x / ((y / z) * x)) = ((z / y) * ((y / z) * x)) / (z / y).
((x / y) * ((y / x) * z)) / (x / y) = z / (z / ((y / x) * z)).
T(K(x,y),x) = K(x,y).
x != y \ T(y,z) | x = K(y,z).
K(x,x * (y \ 1)) = K(x,y \ x).
x != (y / z) * ((u * ((y / z) \ 1)) / u) | x = (y * ((u * (y \ z)) / u)) / z.
K(x,(y / z) \ 1) = (y * ((x * (y \ z)) / x)) / z.
(x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1).
x != (y \ z) * ((u * ((y \ z) \ 1)) / u) | x = y \ (z * ((u * (z \ y)) / u)).
K(x,(y \ z) \ 1) = y \ (z * ((x * (z \ y)) / x)).
x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1).
x != T(y,z) * ((u * (T(y,z) \ 1)) / u) | x = T(y * ((u * (y \ 1)) / u),z).
K(x,T(y,z) \ 1) = T(y * ((x * (y \ 1)) / x),z).
T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1).
(x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y.
K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u.
T(K(x,y \ 1),z) = K(x,T(y,z) \ 1).
x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x.
T(K(x,y),z) = K(x,T(1 / y,z) \ 1).
K(x,T(1 / y,z) \ 1) = T(K(x,y),z).
T(K(x,y),z) = K(x,T(y \ 1,z) \ 1).
K(x,T(y \ 1,z) \ 1) = T(K(x,y),z).
x != K(y,z) * (z * y) | x = y * z.
T(x,y) * T(y,x) = x * y.
x * y != K(z,u) * (u * z) | x \ (z * u) = y.
T(x,y) \ (x * y) = T(y,x).
(x / T(y,x)) * y = T(x,y).
x * y != T(x,z) * u | y = K(x,z) * u.
x = K(y,x) * T(x,y).
K(x,y) * T(y,x) = y.
T(x,y) \ x = K(y,x).
x / T(x,y) = K(y,x).
K(x,y) \ y = T(y,x).
x != K(y,z) * T(z,u) | x = T(z,u) * K(y,z).
x = T(x,y) * K(y,x).
T(x,y) * K(y,x) = x.
x * y != K(z,u) * T(u,z) | u / y = x.
x / K(y,x) = T(x,y).
(x * K(y,z)) \ (x * z) = L(T(z,y),K(y,z),x).
L(T(x,y),K(y,x),z) = (z * K(y,x)) \ (z * x).
x * y = K(z,x) * (T(x,z) * y).
K(x,y) * (T(y,x) * z) = y * z.
x * (T(x,y) \ z) = K(y,x) * z.
x \ K(y,x) = T(x,y) \ 1.
T(x,y) \ 1 = x \ K(y,x).
(T(x,y) * z) \ (x * z) = R(T(K(y,x),T(x,y) * z),T(x,y),z).
R(T(K(x,y),T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ (y * z).
x != K(y,z) \ u | x = 1 / (u \ K(y,z)).
T(x,y) = 1 / (x \ K(y,x)).
1 / (x \ K(y,x)) = T(x,y).
x * (T(x,y) \ 1) = K(y,x).
x != y * (T(y,z) \ (y \ u)) | x = T(y,z) \ u.
K(x,y) * (y \ z) = T(y,x) \ z.
T(x,y) * (K(y,x) * z) = x * z.
x != y * R(y \ z,u,w) | x = R(z / y,u,w) * y.
T(x,y) * (K(y,x) * R(x \ z,u,w)) = R(z / x,u,w) * x.
T(x / y,z) \ x = K(z,x / y) * y.
T(x,y) * z != x * K(x,y) | 1 = z.
1 = K(x,y) * K(y,x).
K(x,y) * K(y,x) = 1.
T(x,y) * z != x * (K(x,y) * u) | z = u.
K(x,y) * (K(y,x) * z) = z.
K(x,y) * z = K(y,x) \ z.
K(x,y) \ z = K(y,x) * z.
x * y = K(z,u) * ((K(u,z) * x) * y).
K(x,y) * ((K(y,x) * z) * u) = z * u.
x * (y * T(y \ 1,z)) != T(y \ 1,z) | x = y \ 1.
K(x,y) = K(y,x) \ 1.
K(x,y) \ 1 = K(y,x).
x * y != K(z,u) * (K(u,z) * w) | w / y = x.
(K(x,y) \ z) / z = K(y,x).
x * y != K(z,u) * (K(u,z) * w) | x \ w = y.
(K(x,y) * z) \ u = z \ (K(y,x) * u).
x != K(y,z) * u | K(z,y) * x = u.
K(x,y) * z != u | K(y,x) * u = z.
x \ K(y,z) = (K(z,y) * x) \ 1.
(K(x,y) * z) \ 1 = z \ K(y,x).
R(x,K(y,y \ 1) * z,K(y \ 1,y) * u) = R(x,z,u).
x != y / T(y,z) | x = (1 / T(y,z)) * y.
K(x,y) = (1 / T(y,x)) * y.
(1 / T(x,y)) * x = K(y,x).
x * y != z / T(z,u) | K(u,z) / y = x.
K(x,y) / y = 1 / T(y,x).
x / T(x,y) = K(y * K(z,z \ 1),x).
K(x * K(y,y \ 1),z) = z / T(z,x).
1 / K(x,y) = K(y,x).
K(x,y) \ 1 != z | z = K(y,x).
K(x,y) \ 1 != z | K(y,x) = z.
x * y != K(z,u) * (T(u,z) * w) | x \ (u * w) = y.
T(x,y) \ (y * x) = T(T(y,x),x).
(x * y) \ (K(z,x) * (T(x,z) * (y * u))) = L(L(u,y,T(x,z)),T(x,z) * y,K(z,x)).
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))).
K(x,y) * (y * z) = y * (K(x,y) * z).
x != K(y,z) * (z * u) | x = (z * K(y,z)) * u.
x * (K(y,x) * z) = (x * K(y,x)) * z.
(x * K(y,x)) * z = x * (K(y,x) * z).
(x * (K(y,x) * z)) * u = K(y,x) * ((x * z) * u).
(x * (K(y,x) * z)) \ u = (x * z) \ (K(x,y) * u).
(x * (K(y,x) * (z * u))) \ (K(y,x) * ((x * z) * u)) = a(x,K(y,x) * z,u).
x != (y * (K(z,y) * u)) \ w | x = (y * u) \ (K(y,z) * w).
a(x,K(y,x) * z,u) = (x * (z * u)) \ (K(x,y) * (K(y,x) * ((x * z) * u))).
(x * (y * z)) \ (K(x,u) * (K(u,x) * ((x * y) * z))) = a(x,K(u,x) * y,z).
(x * (y * z)) \ ((x * y) * z) = a(x,K(u,x) * y,z).
a(x,K(y,x) * z,u) = (x * (z * u)) \ ((x * z) * u).
a(x,K(y,x) * z,u) = a(x,z,u).
a(x,T(y,x),z) = a(x,y,z).
a(x \ y,(x \ y) \ y,z) = a(x \ y,x,z).
(x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z).
T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u.
R(x,y,K(z \ 1,z) * u) = R(x,K(z \ 1,z) * y,u).
R(x,K(y \ 1,y) * z,u) = R(x,z,K(y \ 1,y) * u).
R(x,K(y \ 1,y) * z,u * K(y,y \ 1)) = R(x,z,u).
T(x,y) * z != x | z = K(y,T(x,y)).
K(x,y) = K(x,T(y,x)).
K(x,T(y,x)) = K(x,y).
T(x,y) \ x != z | z = K(y,x).
T(x,y) \ x != z | K(y,x) = z.
x != K(y * z,T(u,y * z)) | x = ((T(u,y * z) * y) * z) \ ((u * y) * z).
K(x * y,z) = ((T(z,x * y) * x) * y) \ ((z * x) * y).
((T(x,y * z) * y) * z) \ ((x * y) * z) = K(y * z,x).
K(x,x \ y) = K(x,y / x).
K(x,y / x) = K(x,x \ y).
(x \ 1) / (x \ K(y,x)) = K(x,y).
x != L(y,z,u) * T(L(y,z,u) \ 1,w) | x = L(y * T(y \ 1,w),z,u).
K(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z).
L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y).
x * K((x \ y) \ 1,z) = y * T(y \ x,z).
x * T(x \ y,z) = y * K((y \ x) \ 1,z).
T(K(x \ 1,y),z) = K(y \ (y / T(x,z)),y).
K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z).
L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y).
L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y).
K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z).
T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,y).
x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u.
K(x,y) != z | z = K(y,x) \ 1.
K(x,y) != z | K(y,x) \ 1 = z.
L(x,y,z) / x = x \ L(x,y,z).
x != L(y \ 1,y,z) / (y \ 1) | x = y * ((z * y) \ z).
(x \ 1) \ L(x \ 1,x,y) = x * ((y * x) \ y).
(1 / x) * (L(x,y,z) * T(u,x \ L(x,y,z))) = L(u,L(x,y,z),1 / x) * (L(x,y,z) / x).
(x \ y) * z = K(x,u) * ((T(x,u) \ y) * z).
K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u.
T(x,y * x) * (x \ 1) = K(x,x * y).
K(x,y * x) = K(x,x * y).
T(x,y) / y = x / T(y,x).
(x / T(y,x)) * y != z | z = T(x,y).
(x / T(y,x)) * y != z | T(x,y) = z.
x * K(y,y \ x) = y * (x / y).
(x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y).
x * K(y,R(y,z,u) \ x) = R(y,z,u) * (x / R(y,z,u)).
R(x,y,z) * (u / R(x,y,z)) = u * K(x,R(x,y,z) \ u).
x != K(y,z) * u | x = z * (T(z,y) \ u).
K(x,y) \ z = x * (T(x,y) \ z).
x * (T(x,y) \ z) = K(x,y) \ z.
L(K(x,y),z,u) \ w = K(y,L(x \ 1,z,u) \ 1) * w.
K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w.
T(x,y) * R(K(y,x) * (x \ z),u,w) = R(z / x,u,w) * x.
T(x,y) * R(T(x,y) \ z,u,w) = R(z / x,u,w) * x.
T(x,y) * R(T(x,y) \ z,u,w) = x * R(x \ z,u,w).
((x \ y) \ y) * (z * R(z \ (T(x,x \ y) \ (u * z)),w,v5)) = (x * R(x \ u,w,v5)) * z.
x * (T(y,x) * R(T(y,x) \ (x \ z),u,w)) = T(y,v5) * (x * R(x \ (T(y,v5) \ z),u,w)).
T(x,y) * (z * R(z \ (T(x,y) \ u),w,v5)) = z * (T(x,z) * R(T(x,z) \ (z \ u),w,v5)).
(x \ 1) * K(y,x) = T(x,y) \ 1.
x * T(y,T(x,z)) = K(x,z) \ (y * T(x,z)).
K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)).
x * ((y \ z) * ((z \ T(y,y \ z)) * z)) = (x * K(z \ y,z)) * z.
x * (y * K(y \ z,y)) = (x * K(y \ z,y)) * y.
(x * K(y \ z,y)) * y = x * (y * K(y \ z,y)).
(x * K(y,z)) * z = x * (z * K(z \ (z * y),z)).
x * (y * K(y \ (y * z),y)) = (x * K(z,y)) * y.
x * (y * K(z,y)) = (x * K(z,y)) * y.
(x * K(y,z)) * z = x * (z * K(y,z)).
(x * y) / (y * K(z,y)) = x / K(z,y).
(x * (y * K(z,y))) \ ((x * (y * K(z,y))) * y) = L(y,K(z,y),x).
L(x,K(y,x),z) = x.
T(x,y) = L(T(x,y),K(z,x),u).
L(T(x,y),K(z,x),u) = T(x,y).
x != L(T(y,z),K(z,y),u) | x = (u * K(z,y)) \ (u * y).
T(x,y) = (z * K(y,x)) \ (z * x).
(x * K(y,z)) \ (x * z) = T(z,y).
(x * K(y,z)) * T(z,y) = x * z.
(x / T(y,z)) * y = x * K(z,y).
x / T(y \ x,z) = y * K(z,y \ x).
x * T(y,z) != (u * T(y,z)) * y | x = u * y.
(x * T(y,z)) * K(z,y) = x * y.
(x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z).
K(R(x,y,z),u) != w | w = K(x,u).
K(R(x,y,z),u) != w | K(x,u) = w.
x != T(y,y * (z \ 1)) | x = T(y,z \ y).
T(x,x / y) = T(x,y \ x).
T(x,x / (x / y)) = T(x,y).
x != T(y,y / (y / T(z,y))) | x = (y / T(z,y)) * z.
T(x,T(y,x)) = (x / T(y,x)) * y.
(x / T(y,x)) * y = T(x,T(y,x)).
T(x,y) = T(x,T(y,x)).
T(x,T(y,x)) = T(x,y).
T(T(x,y),z) = T(T(x,z),T(y,x)).
T(T(x,y),T(z,x)) = T(T(x,z),y).
T(x,x \ y) = T(x,y / x).
T(x,y / x) = T(x,x \ y).
T(x,T(y,x)) \ x = K(y,x).
L(T(x,x \ y),y / x,x) = T(x,y).
x != L(y,z,u) | x = L(y,z,(u \ w) \ w).
T(x,y) = L(T(x,x \ y),y / x,(x \ z) \ z).
L(T(x,x \ y),y / x,(x \ z) \ z) = T(x,y).
L((x \ y) \ y,y / x,(x \ z) \ z) = T(x,y).
K(T(x,y),z) = K((x \ y) \ y,z).
K((x \ y) \ y,z) = K(T(x,y),z).
K(T(x,y),y) = K(x,y).
K(x \ (y * x),x) = K(y,x).
K(x \ y,x) = K(y / x,x).
K(x / y,y) = K(y \ x,y).
x / (x / y) = y * K(y \ x,y).
(x / y) * z = (y \ x) * (K(y,y \ x) * z).
(x \ y) * (K(x,x \ y) * z) = (y / x) * z.
(x \ (y * x)) \ (y * x) = T(x,y).
T(x,R(y,z,u)) != w | T(x,y) = w.
T(x,(y * z) / u) != w | T(x,y / (u / z)) = w.
x != y / T(y,z) | x = K(z,y).
K(x * K(y,y \ 1),z) = K(x,z).
K((x \ 1) \ y,z) = K((1 / x) \ y,z).
K((1 / x) \ y,z) = K((x \ 1) \ y,z).
((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u).
(T(x,y) * z) / u = K(x,y) * ((x * z) / u).
K(x,y) * ((x * z) / u) = (T(x,y) * z) / u.
x != R(K(y,z),u,w) | x = K(R(y,v5,v6),z).
((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,w,v5),y).
K(R(x,y,z),u) = ((T(x,u) * w) * v5) / ((x * w) * v5).
K(R(x,y,z),u) * w = (T(x,u) * v5) * ((x * v5) \ w).
R(K(x,y),z,u) * w = (T(x,y) * v5) * ((x * v5) \ w).
x != R(y,z,z \ u) * u | x = (y * z) * (z \ u).
(T(x,y) * z) * ((x * z) \ u) = (K(x,y) * w) * (w \ u).
(T(x,y) * z) * ((x * z) \ u) = w * ((K(y,x) * w) \ u).
x != (T(y,z) * u) * ((y * u) \ w) | x = (K(y,z) * v5) * (v5 \ w).
x * ((K(y,z) * x) \ u) = (K(z,y) * w) * (w \ u).
(K(x,y) * z) * (z \ u) = w * ((K(y,x) * w) \ u).
T(x,y) * (z * R(z \ (T(x,y) \ u),w,v5)) = z * (x * R(x \ (z \ u),w,v5)).
x * (y * R(y \ (x \ z),u,w)) = ((y \ v5) \ v5) * (x * R(x \ (T(y,y \ v5) \ z),u,w)).
((x \ y) \ y) * (z * R(z \ (T(x,x \ y) \ u),w,v5)) = z * (x * R(x \ (z \ u),w,v5)).
x != ((y \ z) \ z) * (u * R(u \ (T(y,y \ z) \ (w * u)),v5,v6)) | x = (y * R(y \ w,v5,v6)) * u.
x * (y * R(y \ (x \ (z * x)),u,w)) = (y * R(y \ z,u,w)) * x.
x * (y * R(y \ T(z,x),u,w)) = (y * R(y \ z,u,w)) * x.
T(x * R(x \ y,z,u),w) = x * R(x \ T(y,w),z,u).
x * R(x \ T(y,z),u,w) = T(x * R(x \ y,u,w),z).
K(x,y) * (z * R(z \ x,u,w)) = (z * R(z \ x,u,w)) * K(x,y).
x * R(x \ y,z,u) = T(x * R(x \ y,z,u),y).
T(x * R(x \ y,z,u),y) = x * R(x \ y,z,u).
K(x,T(y,z) / u) = K(x,y / (u * K(z,y))).
K(x,y / (z * K(u,y))) = K(x,T(y,u) / z).
x * K(y,(x \ z) \ 1) = K(y,(z / x) \ 1) * x.
K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1).
x * K(y,x \ 1) = K(y,x \ 1) * x.
K(x,y \ 1) * y = y * K(x,y \ 1).
K(x,y * K(z,z \ 1)) = K(x,y).
K(x,y * K(z \ 1,z)) = K(x,y).
K(x,y) = K(x,K(z \ 1,z) * y).
K(x,K(y \ 1,y) * z) = K(x,z).
K(x,((y \ 1) \ 1) * z) = K(x,y * z).
K(x,((y \ 1) \ 1) \ z) = K(x,y \ z).
K(x,(y \ K(z \ 1,z)) \ u) = K(x,(y \ 1) \ u).
K(x,T((y \ 1) \ 1,z) * u) = K(x,T(y,z) * u).
K(x,T(y \ 1,y) * z) = K(x,(y \ 1) * z).
K(x,R((y \ 1) \ 1,z,u) \ w) = K(x,R(y,z,u) \ w).
(x * y) * R(K(z,((x * y) \ u) \ 1),w,v5) = x * (y * R(y \ (x \ (u * ((z * (u \ (x * y))) / z))),w,v5)).
x * (y * R(y \ (x \ (z * ((u * (z \ (x * y))) / u))),w,v5)) = (x * y) * R(K(u,((x * y) \ z) \ 1),w,v5).
(x * y) \ ((x * (z \ y)) * ((u * L(T(z,z \ y),z \ y,x)) / u)) = K(u,((x * y) \ (x * (z \ y))) \ 1).
(x * y) / ((z * y) / z) = x / K(z,y).
x != (y * z) / ((u * z) / u) | x = (y / ((u * z) / u)) * z.
x / K(y,z) = (x / ((y * z) / y)) * z.
(x / ((y * z) / y)) * z = x / K(y,z).
(x / (y / z)) * (z \ y) = x / K(z,z \ y).
x * y = (x * ((z * y) / z)) / K(z,y).
(x * ((y * z) / y)) / K(y,z) = x * z.
(x * (y * K(z,y))) / K(z,y) = x * y.
(x * y) * K(z,y) = x * (y * K(z,y)).
L(K(x,y),y,z) = K(x,y).
x * y != (z * u) / u | z / y = x.
x / (y \ z) = (x * K(y,y \ z)) / (z / y).
(x * K(y,y \ z)) / (z / y) = x / (y \ z).
((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1).
x != T(y,z) * (y \ u) | x = K(y,z) * u.
x * K((x \ (y \ x)) \ 1,z) = K(y,z) * x.
T(K(x,y),z) = K((z \ (x \ z)) \ 1,y).
K((x \ (y \ x)) \ 1,z) = T(K(y,z),x).
((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).
a(x,K((x \ (y \ x)) \ 1,z),u) = K(y,z) * ((x * u) / (x * (T(K(y,z),x) * 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).
x != a(y,T(z,y),u) | x = a(y,z,u).
K(x,y) * ((z * u) / (z * (T(K(x,y),z) * u))) = a(z,K(x,y),u).
R((x \ 1) \ 1,y,z) * K(u,R(x,y,z) \ 1) = T(R(x,y,z) \ 1,u) \ 1.
(K(x,y) / y) \ 1 = T(y,x).
x != K(y,z) * (u * y) | x = T(y,z) * T(u,y).
(x \ y) * x = T(x,z) * T(T(x,z) \ y,x).
T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x.
(x * T(x \ y,z)) \ y = K(z,x \ y).
K(x,((y / (z \ 1)) \ 1) \ u) = K(x,((y / (1 / z)) \ 1) \ u).
K(x,((y / (1 / z)) \ 1) \ u) = K(x,((y / (z \ 1)) \ 1) \ u).
K(x,((1 / (1 / y)) * z) / u) = K(x,(y * z) / u).
K(x,T(y * K(z \ 1,z),u)) = K(x,T(y,u)).
K(x,y \ K(z \ 1,z)) = K(x,y \ 1).
K(x,T(y / z,u)) = K(x,T(y / (1 / (1 / z)),u)).
K(x,T(y / (1 / (1 / z)),u)) = K(x,T(y / z,u)).
x != K(y,T(z / (1 / u),w)) | x = K(y,T(z * u,w)).
K(x,T(y / z,u)) = K(x,T(y * (1 / z),u)).
K(x,T(y * (1 / z),u)) = K(x,T(y / z,u)).
K(x,T(y * z,u)) = K(x,T(y / (z \ 1),u)).
K(x,T(y / (z \ 1),u)) = K(x,T(y * z,u)).
x != K(y,T(z / u,z)) | x = K(y,u \ z).
K(x,T(y * z,y)) = K(x,(z \ 1) \ y).
R(K(x,y / z),y / z,z) = T((((x * (y / z)) / x) * z) / y,y / z).
T((((x * (y / z)) / x) * z) / y,y / z) = R(K(x,y / z),y / z,z).
T((x * ((y * (x \ z)) / y)) / z,z / x) = R(K(y,z / x),z / x,x).
T(K(x,(y / z) \ 1),z / y) = R(K(x,z / y),z / y,y).
x != T(K(y,z \ 1),u) | x = K(y,T(z,u) \ 1).
R(K(x,y / z),y / z,z) = K(x,T(z / y,y / z) \ 1).
R(K(x,y / z),y / z,z) = K(x,T((z / y) \ 1,y \ z)).
x != K(y,T((z / u) \ 1,u \ z)) | x = K(y,(z / u) \ 1).
R(K(x,y / z),y / z,z) = K(x,(z / y) \ 1).
K(x,y / z) = K(x,(z / y) \ 1).
K(x,(y / z) \ 1) = K(x,z / y).
K(x,y \ 1) = K(x,z / (y * z)).
K(x,y / (z * y)) = K(x,z \ 1).
K(x,((y \ z) / z) \ 1) = K(x,y).
K(x,y / z) * y = y * K(x,(y \ z) \ 1).
x * K(y,(x \ z) \ 1) = K(y,x / z) * x.
x * K(y,z \ 1) = K(y,x / (x * z)) * x.
K(x,y / (y * z)) * y = y * K(x,z \ 1).
(x * y) * K(z,L(u,y,x) \ 1) = K(z,(x * y) / (x * (y * u))) * (x * y).
K(x,(y * z) / (y * (z * u))) * (y * z) = (y * z) * K(x,L(u,z,y) \ 1).
x * R(K(y,(x \ z) \ 1),u,w) = K(y,x / z) * x.
x != (y * z) * R(K(u,((y * z) \ w) \ 1),v5,v6) | x = y * (z * R(z \ (y \ (w * ((u * (w \ (y * z))) / u))),v5,v6)).
K(x,(y * z) / u) * (y * z) = y * (z * R(z \ (y \ (u * ((x * (u \ (y * z))) / x))),w,v5)).
x * (y * R(y \ (x \ (z * ((u * (z \ (x * y))) / u))),w,v5)) = K(u,(x * y) / z) * (x * y).
x * (y * R(y \ ((x \ z) * ((u * ((x \ z) \ y)) / u)),w,v5)) = K(u,(x * y) / z) * (x * y).
x * (y * R(K(z,(y \ (x \ u)) \ 1),w,v5)) = K(z,(x * y) / u) * (x * y).
x * (K(y,z / (x \ u)) * z) = K(y,(x * z) / u) * (x * z).
K(x,(y * z) / u) * (y * z) = y * (K(x,z / (y \ u)) * z).
x != K(y,(z * u) / (z * (u * w))) * (z * u) | x = (z * u) * K(y,L(w,u,z) \ 1).
x * (K(y,z / (x \ (x * (z * u)))) * z) = (x * z) * K(y,L(u,z,x) \ 1).
x * (K(y,z / (z * u)) * z) = (x * z) * K(y,L(u,z,x) \ 1).
(x * y) * K(z,L(u,y,x) \ 1) = x * (K(z,y / (y * u)) * y).
(x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)).
L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1).
K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u).
L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w.
L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w.
L(K(x,y),z,u) \ 1 = L(K(y,x),z,u).
K(x,y) \ 1 = L(K(y,x),y,z).
L(K(x,y),x,z) = K(y,x) \ 1.
x != K(y,z) \ 1 | x = K(z,y).
L(K(x,y),x,z) = K(x,y).
x != L(K(y,z),y,u) | x = (u * y) \ (u * T(y,z)).
K(x,y) = (z * x) \ (z * T(x,y)).
(x * y) \ (x * T(y,z)) = K(y,z).
(x * y) * K(y,z) = x * T(y,z).
T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)).
K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)).
x != y * K(z,a(u,w,v5)) | x = T(y,a(v6,v7,v8)).
x * T(y,a(z,u,w)) = T(x * y,a(v5,v6,v7)).
T(x * y,a(z,u,w)) = x * T(y,a(v5,v6,v7)).
x * T(x \ y,z) = y * K(x \ y,z).
(x * K(y,z)) * K(z,u) = (x / T(z,y)) * T(z,u).
(x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u).
K((x \ y) \ 1,z) = K(y \ x,z).
x != y * T(y \ z,u) | x = K(z / y,u) * z.
x * K(y \ x,z) = K(x / y,z) * x.
K(x / y,z) * x = x * K(y \ x,z).
x != T(y,z) * T(T(y,z) \ u,y) | x = (y \ u) * y.
x * K(T(y,z) \ x,y) = (y \ x) * y.
x != (y \ 1) * T((y \ 1) \ z,u) | x = y \ T(y * z,u).
x * K((y \ 1) \ x,z) = y \ T(y * x,z).
x \ T(x * y,z) = y * K((x \ 1) \ y,z).
L(T(x \ y,z) \ u,T(x \ y,z),x) = (y * K(x \ y,z)) \ (x * u).
x \ (y * T(y \ x,z)) != u | u = K(y \ x,z).
x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u.
T(K(x / y,z),x) = K(y \ x,z).
T(K(x,y),z) = K((x \ z) \ z,y).
K((x \ y) \ y,z) = T(K(x,z),y).
x != K((y \ z) \ z,u) | x = K(T(y,z),u).
T(K(x,y),z) = K(T(x,z),y).
K(T(x,y),z) = T(K(x,z),y * x).
T(K(x,y),z * x) = K(T(x,z),y).
K(T(x,y),z) * u != T(K(x,z),y) | 1 = u.
1 = K(x,T(y,z)) * T(K(y,x),z).
K(x,T(y,z)) * T(K(y,x),z) = 1.
x * K(T(y,x),z) = K(y,z) * x.
T(K(x,y),K(x,z)) = K(x,y).
x != K(y,z) | x = K((u / y) \ u,z).
T(K(x,y),K(x,z)) = K((u / x) \ u,y).
K((x / y) \ x,z) != u | u = K(y,z).
K((x / y) \ x,z) != u | K(y,z) = u.
K(x \ (x * y),z) != u | K(y,z) = u.
(x * K(y,z)) \ x = K(z,y).
(x * K(y,z)) * K(z,y) = x.
x / K(y,z) = x * K(z,y).
x != y * K(z,u) | x * K(u,z) = y.
x * K(y,z) != u | u * K(z,y) = x.
K(x \ 1,y) = K((z * x) \ z,y).
K((x * y) \ x,z) = K(y \ 1,z).
K(x \ 1,y) = K(z \ (z / x),y).
K(x \ (x / y),z) = K(y \ 1,z).
K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u).
K(x \ y,z) \ 1 = K(z,(y \ x) \ 1).
L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z).
K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u).
1 / (x \ K(y \ 1,x)) = T(x,(z * y) \ z).
T(x,(y * z) \ y) = 1 / (x \ K(z \ 1,x)).
x != 1 / (y \ K(z,y)) | x = T(y,z).
T(x,(y * z) \ y) = T(x,z \ 1).
T(x,y \ z) = T(x,(z \ y) \ 1).
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,L(y \ 1,y,z)) = T(x,y \ 1).
x != K(L(y \ z,y,u) \ 1,w) | x = K((u * z) \ (u * y),w).
L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z).
L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u).
L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u).
L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y).
K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x).
x != (y * ((z * u) / z)) / K(z,u) | x = y * u.
(x * ((y * z) / y)) * K(z,y) = x * z.
x / K(y,a(z,u,w)) = x * K(a(v5,v6,v7),v8).
R((x * K(y \ 1,y)) / (z \ 1),z \ 1,K(y,y \ 1)) = x / (z \ K(y,y \ 1)).
K(L(x,y / x,z),u) = L(K(x,u),y,z).
x != K(L(y,z,y),u) | x = K(y,u).
L(K(x,y),z,x) = K(x,y).
x / L(K(y,z),u,w) = x * K(z,L(y,u / y,w)).
x * K(y,L(z,u / z,w)) = x / L(K(z,y),u,w).
x != K(y,L(z \ 1,u,w) \ 1) | x = L(K(y,z),u,w).
(x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u).
((x * K(y,z)) * R((x * K(y,z)) \ u,w,v5)) * K(z,y) = x * R(x \ (u * ((x * K(y,z)) \ x)),w,v5).
(x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w).
x / L(K(y,z),u,w) = x * L(K(z,y),u,w).
x * y != x / L(K(z,u),w,v5) | y = K(u,L(z,w / z,v5)).
L(K(x,y),z,u) = K(x,L(y,z / y,u)).
K(x,L(y,z / y,u)) = L(K(x,y),z,u).
x / L(T(K(y,z),u),w,v5) = x * L(K(T(z \ 1,u) \ 1,y),w,v5).
x * L(K(T(y \ 1,z) \ 1,u),w,v5) = x / L(T(K(u,y),z),w,v5).
x != K(y,L(z,u,z)) | x = K(y,z).
L(K(x,y),z,y) = K(x,y).
K(x,L(y,z,u)) = L(K(x,y),z * y,u).
L(K(x,y),z * y,u) = K(x,L(y,z,u)).
(x * y) * K(z,x) = x * (y * K(z,x)).
x != K(y \ (y / T(z,u)),y) | x = T(K(z \ 1,y),u).
K(T(x,y) \ 1,z) = T(K(x \ 1,z),y).
T(K(x \ 1,y),z) = K(T(x,z) \ 1,y).
(x / y) * K(y \ 1,x) = (x \ (x / y)) * x.
(x \ (x / y)) * x = (x / y) * K(y \ 1,x).
T(K(x,y),z) = K(T(x \ 1,z) \ 1,y).
K(T(x \ 1,y) \ 1,z) = T(K(x,z),y).
1 / T(K(x,y),z) = K(y,T(x \ 1,z) \ 1).
K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z).
x != K(y,T(z \ 1,u) \ 1) | x = T(K(y,z),u).
1 / T(K(x,y),z) = T(K(y,x),z).
T(K(x,y),z) \ 1 = T(K(y,x),z).
T(K(x,y),z) * K(y,x) = K(z,K(y,x)).
x * T(K(y,z),u) != 1 | x = T(K(z,y),u).
x * T(K(y,z),u) != 1 | T(K(z,y),u) = x.
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
T(K(x,y),z) = K(x,T(y,z)).
x != K(y,T(z,u * z)) | x = K(y,T(z,u)).
T(K(x,y),z * y) = K(x,T(y,z)).
T(K(x,y / z),y) = K(x,z \ y).
x != T(K(y,z),u) | x = K(T(y,u),z).
K(x,T(y,z)) = K(T(x,z),y).
K(T(x,y),z) = K(x,T(z,y)).
x * K(y,T(z,x)) = K(y,z) * x.
x * T(K(x,y),z) = T(x,T(y,z)).
R(K(x,T(y,T(y,x) * z)),T(y,x),z) = (T(y,x) * z) \ (y * z).
K(x \ y,z) = K(y / x,T(z,x)).
K(x / y,T(z,y)) = K(y \ x,z).
T(x * K(y,T(x,z)),T(y,z)) = x.
T(x,y) * K(x,T(z,y)) = T(T(x,y),z).
T(x * K(T(y,z),T(x,u)),T(T(y,u),z)) = x.
K(x,y) * z != z * u | K(x,T(y,z)) = u.
x * K(y,x \ z) = K(y,z / x) * x.
K(x,y / z) * z = z * K(x,z \ y).
x != K(y,z) * T(K(z,y),u) | x = (z * y) \ (y * (z * T(K(z,y),u))).
K(x,K(y,z)) = (z * y) \ (y * (z * T(K(z,y),x))).
(x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
K(x,y) * K(z,K(y,x)) = K(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)).
K(K(x,y),z) = K(z,K(y,x)).
K(x,K(y,z)) \ 1 = K(x,K(z,y)).
x * K(K(y,z),x) = T(x,K(z,y)).
K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u.
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
L(T(K(x,y),z \ u),z \ u,z) = u \ (z * (T(z \ u,K(y,x)) * K(x,y))).
(x * y) * K(x,z) = x * (y * K(x,z)).
L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (T(z \ u,K(y,x)) * K(x,y))).
x != K(y,z / u) * u | x = T(z / u,y) \ z.
x * K(y,x \ z) = T(z / x,y) \ z.
T(x / y,z) \ x = y * K(z,y \ x).
x != y * K(z,y \ u) | x = u / T(y \ u,z).
T(x / y,z) \ x = x / T(y \ x,z).
x / T(y \ x,z) = T(x / y,z) \ x.
x / T(y,z) = T(x / (x / y),z) \ x.
T(x / (x / y),z) \ x = x / T(y,z).
x / (x / T(y,z)) = T(x / (x / y),z).
x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u.
(x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)).
K(x / y,K(y,z)) = K(y \ x,K(y,z)).
x != K(y,z) \ (u * T(y,z)) | x = y * T(u,T(y,z)).
T(x * y,K(y,z)) = y * T(x,T(y,z)).
x * T(y,T(x,z)) = T(y * x,K(x,z)).
T(x * y,K(y,z)) / y != u | T((y * x) / y,T(y,z)) = u.
(x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)).
K(x * y,K(y,z)) = K(z,K(y,x)).
x != T(y,z) * K(y,u) | x = K(y,z) * T(y,u).
T(T(x,y),z) = K(x,y) * T(x,T(z,y)).
K(x,y) * T(x,T(z,y)) = T(T(x,y),z).
T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u.
x != K(y,z) * K(z,T(y,u)) | x = K(u,K(y,z)).
K(x * y,K(x,z)) = K(y,K(x,z)).
K(x,K(y,z)) = K(y \ x,K(y,z)).
K(x \ y,K(x,z)) = K(y,K(x,z)).
x != K(y \ z,K(y,u)) | x = K(z / y,K(y,u)).
K(x,K(y,z)) = K(x / y,K(y,z)).
K(x / y,K(y,z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(x * y,K(y,z)).
K(x * y,K(y,z)) = K(x,K(y,z)).
x != K(y * z,K(z,u)) | x = K(u,K(z,y)).
K(x,K(y,z)) = K(z,K(y,x)).
K(x,K(y,z * y)) = K(x,K(y,z)).
K(x,K(y,z)) * z = T(z,K(y,x)).
K(x,y) * K(x,K(y,z)) = K(x,T(y,z)).
K(x,K(y,z)) \ 1 = K(z,K(x,y)).
x != K(y,T(z,u)) | x = T(K(y,z),u).
K(x,y) * K(x,K(y,z)) = T(K(x,y),z).
K(x,K(y,z)) * z = T(z,K(y,y * x)).
T(x,K(y,y * z)) = K(z,K(y,x)) * x.
K(x,K(y,z)) = K(y,K(x,z)).
K(x,K(y,z)) != u | K(y,K(x,z)) = u.
x != K(y,K(z,u)) | x = K(u,K(z,y)).
K(x,K(y,z)) = K(z,K(x,y)).
x != K(y * z,K(y,u)) | x = K(z,K(y,u)).
K(x,K(x * y,z)) = K(y,K(x,z)).
(K(x,y) * K(x,K(z,y))) * z = z * K(x,y).
K(x,K(y,z)) * y = T(y,K(x,z)).
(x * y) * K(z,K(y,u)) = x * T(y,K(z,u)).
K(x,K(y,z)) * z = T(z,K(x,y)).
x * y != T(y,K(z,u)) | x = K(z,K(y,u)).
K(x,K(y,z)) = K(x,K(z,y)).
x != K(y,K(z,u)) * u | x = T(u,K(z,y)).
T(x,K(y,z)) = T(x,K(z,y)).
K(x,y) * K(x,K(z,y)) = K(x,T(y,z)).
K(x,T(y,z)) * z = z * K(x,y).
K(x,T(T(y,z),z)) = K(x,y).
(x * K(y,z)) / x = K(y,T(z,x)).
x * y != y * K(z,y \ u) | x = K(z,u / y).
K(x,T(y \ z,y)) = K(x,z / y).
x * y != y * K(z \ y,u) | x = K(y / z,u).
K(x \ y,T(z,y)) = K(y / x,z).
T(K(x,T(y,z)),z) = K(x,y).
(K(x,T(y,z)) * (z * u)) * 1 = (z * K(x,y)) * u.
(x * K(y,z)) \ u = x \ (K(T(z,x),y) * u).
x \ (K(T(y,x),z) * u) = (x * K(z,y)) \ u.
T(K(x,y),z) * z = z * K(x,y).
x != K(y,T(z,u)) | x = K(T(y,u),z).
K(x,y) = K(T(x,z),T(y,z)).
K(T(x,y),T(z,y)) = K(x,z).
K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)).
K(x,T(y,z)) = K(x,y * K(z,y)).
K(x,y * K(z,y)) = K(x,T(y,z)).
T(x,y) * K(x,z) = T(T(x,y),T(z,y)).
T(T(x,y),T(z,y)) = T(x,y) * K(x,z).
x != K(y,z) | x = L(K(y,z),u,z).
T(K(x,T(y,z)),z) = L(K(x,y),u,y).
T(K(x \ y,z),x) = K(y / x,z).
T(K(x,T(y,z)),z) != u | u = K(x,y).
T(K(x,T(y,z)),z) != u | K(x,y) = u.
K(x \ y,T(z,y)) != u | K(y / x,z) = u.
K(T(x,y),T(z,y)) != u | K(x,z) = u.
T(K(x,y),z) != u | K(x,T(y,z)) = u.
K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w.
K(R(T(x,y * z),y,z),T(u,y)) != w | K((y * z) \ ((y * x) * z),u) = w.
K(T(x,y),R(y,z,u) \ w) != v5 | K(x,w / R(y,z,u)) = v5.
K(x * R(x \ y,z,u),T(w,y)) != v5 | K(x * R(x \ y,z,u),w) = v5.
K(T(x,y),z) != u | K(x,T(z,y)) = u.
K(x,T(T(T(y,z),u),z)) != w | K(x,T(y,u)) = w.
K(x,T(y,z)) = K(z / (z / x),y).
K(x / (x / y),z) = K(y,T(z,x)).
K(x / y,z) * (y \ x) = T(y \ x,T(z,x)).
T(K(x / y,z),x) != u | K(y \ x,z) = u.
x != K(y / (z / u),w) | x = K((y * u) / z,w).
K(x,T(y,z)) = K((z * x) / z,y).
K((x * y) / x,z) = K(y,T(z,x)).
K((x * (y * z)) / (x * y),u) = K(L(z,y,x),T(u,x * y)).
K(L(x / y,y,z),u) = K((z * y) \ (z * x),T(u,y)).
K((x * y) \ (x * z),T(u,y)) = K(L(z / y,y,x),u).
K(x * K(y,x),z) = K(x,T(z,y)).
K(x * K(y,x),z) = K(T(x,y),z).
K(x * K(y,x),z) != u | K(x,T(z,y)) = u.
K(x,K(y,y * z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(x,K(y,y \ z)).
K(x,K(y,y \ z)) = K(x,K(y,z)).
K(x,K(y / z,y)) = K(x,K(y / z,z)).
K(x,K(y / z,z)) = K(x,K(y / z,y)).
K(x,K(y,z \ y)) = K(x,K(y,z \ 1)).
K(x,K(y,z \ 1)) = K(x,K(y,z \ y)).
x * K(y,K(z,x)) = T(x,K(y,z)).
K(x,K(y,z)) != u | K(x,K(z,y)) = u.
K(x / y,T(z,x)) != u | K(y \ x,z) = u.
T(T(x,y),T(z,y)) = K(x,y) * T(x,z).
T(x,T(T(y,z),z)) = T(x,y).
T(x,T(y \ z,y)) = T(x,z / y).
T(x,T(y,z)) = T(x,(z * y) / z).
T(x,(y * z) / y) = T(x,T(z,y)).
T(x,T((1 / y) \ z,y \ 1)) = T(x,z / (1 / y)).
x \ (K(y,T(z,x)) * u) = (x * K(z,y)) \ u.
K(L(x,y,z),T(u,z * (y * x))) != w | K((z * (y * x)) / (z * y),u) = w.
T(K(x \ y,z),y) != u | K(y / x,z) = u.
K(x,K(y \ z,y)) = K(x,K(z / y,z)).
K(x,K(y,y \ z)) = K(x,K(z / y,z)).
K(x,K(y / z,y)) = K(x,K(z,z \ y)).
x != K(y,K(z,z \ u)) | x = K(y,K(z,u)).
K(x,K(y / z,y)) = K(x,K(z,y)).
K(x,K(y,z)) = K(x,K(y \ z,z)).
K(x,K(y \ z,z)) = K(x,K(y,z)).
K(x,K(y,z \ y)) = K(x,K(z,y)).
K(x,K(y \ z,z)) = K(z,K(y,x)).
x != K(y,K(z,u \ z)) | x = K(y,K(z,u \ 1)).
K(x,K(y,z)) = K(x,K(z,y \ 1)).
K(x,K(y,z \ 1)) = K(x,K(z,y)).
x != K(y,K(z,u)) | x = K(y,K(u,z)).
K(x,K(y,z \ 1)) = K(x,K(y,z)).
K(x,y) * K(x,K(z,y)) = K(x,T(y,z \ 1)).
x != K(y,z) * K(y,K(u,z)) | x = K(y,T(z,u)).
K(x,T(y,z \ 1)) = K(x,T(y,z)).
K(x,T(y,z \ 1)) = T(K(x,y),z).
K(x,T(y,z)) = K(T(x,z \ 1),y).
K(T(x,y \ 1),z) = K(x,T(z,y)).
x != K(y,T(z * u,z \ 1)) | x = K(y,T(z * u,u)).
K(x,T(y * z,y)) = K(x,T(y * z,z)).
K(x,T(y * z,z)) = K(x,T(y * z,y)).
x != K(y,T(z,u \ 1)) | x = K(y,T(z,u \ z)).
K(x,T(y,z)) = K(x,T(y,z \ y)).
K(x,T(y,z \ y)) = K(x,T(y,z)).
K(x,R(y \ 1,z,u) \ w) = K(x,T(w / R(y \ 1,z,u),y)).
K(x,T(y / R(z \ 1,u,w),z)) = K(x,R(z \ 1,u,w) \ y).
K(x,T(y,z \ u)) = K(x,T(y,u \ z)).
x != K(y / z,T(u,z)) | x = K(z \ y,u).
T(K(x / (y \ 1),z),y) = K((y \ 1) \ x,z).
K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u.
K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w.
K(x,K(y,z)) * y = T(y,K(x,z \ 1)).
T(x,K(y,z \ 1)) = K(y,K(x,z)) * x.
x != K(y,K(z,u)) * z | x = T(z,K(y,u)).
T(x,K(y,z \ 1)) = T(x,K(y,z)).
x != K(y,K(z,u)) | x = K(u,K(y,z)).
K(x,K(y,z)) = K(x,K(z,y \ x)).
K(x,K(y,z \ x)) = K(x,K(z,y)).
K(x,K(y,z \ x)) = K(x,K(y,z)).
K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ x).
x != K(y,z) * K(y,K(z,u)) | x = T(K(y,z),u).
T(K(x,y),z \ x) = T(K(x,y),z).
K(x,T(y,z \ x)) = T(K(x,y),z).
x != T(K(y,z),u) | x = K(y,T(z,u)).
K(x,T(y,z \ x)) = K(x,T(y,z)).
x != K(T(y,z),u) | x = K(y,T(u,z)).
T(K(x,y),z * x) = K(x,T(y,z)).
(x * K(y,z)) / x = T(K(y,z),x).
K(T(x,y),z) * (y * x) = (y * x) * K(x,z).
x != (y * z) * K(z,u) | x = y * T(z,u).
K(T(x,y),z) * (y * x) = y * T(x,z).
(x * T(y,z)) * ((x * y) \ u) = w * ((K(z,T(y,x)) * w) \ u).
K(x,T(y,z)) * (z * x) = z * T(x,y).
(x * T(y,z)) * ((x * y) \ u) = x * ((x * K(z,y)) \ u).
T(x,y / (y / z)) = T(x,T(z,y)).
x != (y * z) * K(y,y \ 1) | x = ((y \ 1) \ 1) * z.
x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y.
x * ((1 / x) * y) = ((x \ 1) \ 1) * ((x \ 1) * y).
((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y).
x != ((y \ 1) \ 1) * ((y \ 1) * z) | x = K(y,y \ 1) * L(z,y \ 1,y).
x * ((1 / x) * y) = K(x,x \ 1) * L(y,x \ 1,x).
K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y).
(1 / (1 / x)) * ((1 / x) * y) = L(y,x \ 1,x).
x != (1 / y) * (y * z) | x = L(z,y,y \ 1).
L(x,y \ 1,y) = L(x,1 / y,(1 / y) \ 1).
L(x,1 / y,(1 / y) \ 1) = L(x,y \ 1,y).
L(x,y \ 1,y) \ x = a(1 / (1 / y),1 / y,x).
a(1 / (1 / x),1 / x,y) = L(y,x \ 1,x) \ y.
x != L(y,z \ 1,z) \ y | x = a(z,z \ 1,y).
a(1 / (1 / x),1 / x,y) = a(x,x \ 1,y).
x != a(y / z,u,w) | x = a(z \ y,u,w).
a(x,x \ 1,y) = a((1 / x) \ 1,1 / x,y).
a((1 / x) \ 1,1 / x,y) = a(x,x \ 1,y).
x != K(y,K(z,u)) * u | x = T(u,K(y,z)).
T(x,K(y,y * z)) = T(x,K(z,y)).
T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)).
T(x,K(y,L(z,u,z))) = T(x,K(z,y)).
K(x,T(K(y,z) / u,K(z,y))) = K(x,u \ K(y,z)).
T(x,K(y,z)) * K(y,z) = K(y,z) * x.
K(x,K(x * y,z)) = K(z,K(y,x)).
K(x,K(y,x * z)) = K(y,K(z,x)).
K(x,K(y,x * z)) = K(x,K(z,y)).
(x * y) * K(x,K(y,z)) = T(x * y,K(x,z)).
x != (y * z) * K(u,K(z,w)) | x = y * T(z,K(u,w)).
T(x * y,K(x,z)) = x * T(y,K(x,z)).
x * T(y,K(x,z)) = T(x * y,K(x,z)).
x * y != T(x * (z / x),u) | y = T(z,u) / x.
T(x / y,K(y,z)) = T(x,K(y,z)) / y.
T(x,K(y,z)) / y = T(x / y,K(y,z)).
T(x * y,K(y,z)) / y = T(x,K(y,z)).
T((x * y) / x,T(x,z)) = T(y,K(x,z)).
T(x,K(y,z)) * y = T(x * y,K(y,z)).
T(x,T(y,z)) = T(T(x,y),K(y,z)).
T(T(x,y),K(y,z)) = T(x,T(y,z)).
x != T(T(y,z),K(u,w)) | x = T(T(y,K(w,u)),z).
T(x,T(y,z)) = T(T(x,K(z,y)),y).
T(T(x,K(y,z)),z) = T(x,T(z,y)).
x != T(y,K(z,u \ 1)) | x = T(y,K(z,u)).
T(x,T(y,z \ 1)) = T(T(x,y),K(y,z)).
T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)).
x != T(T(y,z),K(z,u)) | x = T(y,T(z,u)).
T(x,T(y,z \ 1)) = T(x,T(y,z)).
x != T(y,T((1 / z) \ u,z \ 1)) | x = T(y,u / (1 / z)).
T(x,T((1 / y) \ z,y)) = T(x,z / (1 / y)).
T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)).
L(K(x,T(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u).
(x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x).
(x * (K(y,z) * u)) / (x * u) = L(K(y,T(T(z,u),x * u)),u,x).
L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z).
K(x / y,T(z,y)) != u | K(y \ x,z) = u.
L(x,1 / y,y) = L(x,y \ 1,y).
L(x,y,y \ 1) = L(x,(y \ 1) \ 1,y \ 1).
L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1).
x != L(y,(L(z,u,w) \ 1) \ 1,L(z,u,w) \ 1) | x = (L(z,u,w) \ 1) * (L((z \ 1) \ 1,u,w) * y).
L(x,L(y,z,u),L(y,z,u) \ 1) = (L(y,z,u) \ 1) * (L((y \ 1) \ 1,z,u) * x).
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,L(x,y,z),L(x,y,z) \ 1).
L(x \ 1,x,T(y,K(x,z))) = T(y * x,K(x,z)) \ T(y,K(x,z)).
T(x * y,K(y,z)) \ T(x,K(y,z)) = L(y \ 1,y,T(x,K(y,z))).
x != L(y,z,T(u,w)) | x = L(y,z,u).
T(x * y,K(y,z)) \ T(x,K(y,z)) = L(y \ 1,y,x).
x * y != z * K(u,y) | x = z / T(y,u).
x \ y = y / T(x,T(x,z) \ y).
x / T(y,T(y,z) \ x) = y \ x.
(x \ y) \ y = T(x,T(x,z) \ y).
T(x,T(x,y) \ z) = (x \ z) \ z.
x != (y \ z) \ z | x = T(y,y \ z).
T(x,T(x,y) \ z) = T(x,x \ z).
T(x,y) = T(x,x \ (T(x,z) * y)).
T(x,x \ (T(x,y) * z)) = T(x,z).
K(x,T(y,z)) = K(x,T(y,T(y,u) * z)).
K(x,T(y,T(y,z) * u)) = K(x,T(y,u)).
T(x,K(x,y) * z) = T(x,z).
R(K(x,T(y,z)),T(y,x),z) = (T(y,x) * z) \ (y * z).
(T(x,y) * z) \ (x * z) != u | K(y,T(x,z)) = u.
T(x,T(y,K(x,z))) = T(x,y).
T(x,y * K(x,z)) = T(x,y).
x * y != T(z,u * K(z,w)) | x \ T(z,u) = y.
x \ T(x,y) = K(x,y * K(x,z)).
K(x,y * K(x,z)) = x \ T(x,y).
K(x,y * K(x,z)) = K(x,y).
K(x,y) = K(x,y * K(z,x)).
K(x,y * K(z,x)) = K(x,y).
K(x,K(x,y) * z) = K(x,z).
1 / K(x,y) = K(y * K(z,x),x).
K(x * K(y,z),z) = 1 / K(z,x).
K(x,K(y,x) * z) = K(x,z).
x != 1 / K(y,z) | x = K(z,y).
K(x * K(y,z),z) = K(x,z).
K(x \ T(x * y,z),z) = K(y,z).
K(x \ T(y,z),z) = K(x \ y,z).
T(x,y) / (T(x,y) / y) = y * K(y \ x,y).
K(x,1 / y) != z | K(x,y \ 1) = z.
R(K(x \ 1,x) * (y / (z \ 1)),z \ 1,K(x,x \ 1)) = y / (z \ K(x,x \ 1)).
x != R(y,z,K(u,u \ 1)) | x = y.
x / (y \ K(z,z \ 1)) = K(z \ 1,z) * (x / (y \ 1)).
K(x \ 1,x) * (y / (z \ 1)) = y / (z \ K(x,x \ 1)).
x != L(K(y,z),u,y) | x = K(y,z).
K(x,L(y,z,x)) = K(x,y).
T(T(x,K(y,z)),K(y,z)) = x.
x * L(T(K(y,z),u),w,v5) = x / L(T(K(z,y),u),w,v5).
x / L(T(K(y,z),u),w,v5) = x * L(T(K(z,y),u),w,v5).
x != (y * (z * u)) / L(T(z,u),u,y) | x = y * u.
(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).
((x * (K(y,z) * u)) * L(T(K(z,y),u),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 != R((y * z) / (y * (K(u,w) * z)),y * (K(u,w) * z),L(T(K(w,u),z),z,y)) | x = (y * (z * T(K(w,u),z))) / (y * z).
(x * y) / (x * (K(z,u) * y)) = (x * (y * T(K(u,z),y))) / (x * 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)).
x != (y * (K(z,u) * w)) / (y * w) | x = L(K(z,T(T(u,w),y * w)),w,y).
(x * y) / (x * (K(z,u) * y)) = L(K(u,T(T(z,y),x * y)),y,x).
L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)).
(x * (T(K(y,z),u) * w)) / (x * w) = (x * w) / (x * (K(T(z \ 1,u) \ 1,y) * w)).
(x * y) / (x * (K(T(z \ 1,u) \ 1,w) * y)) = (x * (T(K(w,z),u) * y)) / (x * y).
x != (y * (T(z,u) * w)) / (y * w) | x = T((y * (z * w)) / (y * w),u).
(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 * z) / y)) \ (x * z) != u | u = K(z,y).
(x * ((y * z) / y)) \ (x * z) != u | K(z,y) = u.
K(x,(x * y) \ z) = K(x,y \ (x \ z)).
K(R(x,y,z),(x \ R(x,y,z)) \ u) = K(R(x,y,z),(x \ 1) \ (R(x,y,z) \ u)).
K(R(x,y,z),(x \ 1) \ (R(x,y,z) \ u)) = K(R(x,y,z),(x \ R(x,y,z)) \ u).
x != K(R(y,z,u),w) | x = K(y,w).
K(R(x,y,z),(x \ 1) \ (R(x,y,z) \ u)) = K(x,(x \ R(x,y,z)) \ u).
x != T(K(y,z / u),z) | x = K(y,u \ z).
K(x,T((y * x) / z,y)) = K(x,z \ (y * x)).
x != K(y,T((z * u) / w,v5)) | x = K(y,T(z / (w / u),v5)).
K(x,y \ (z * x)) = K(x,T(z / (y / x),z)).
K(x,T(y / (z / x),y)) = K(x,z \ (y * x)).
K(x,y \ (z * x)) = K(x,(y / x) \ z).
K(x,(y / x) \ z) = K(x,y \ (z * x)).
K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u.
K(x,R(y,z,u) \ 1) = K(x,y \ 1).
R((x \ 1) \ 1,y,z) * K(u,x \ 1) = T(R(x,y,z) \ 1,u) \ 1.
x != R(y,z,u) * K(w,v5) | x = R(y * K(w,v5),z,u).
T(R(x,y,z) \ 1,u) \ 1 = R(((x \ 1) \ 1) * K(u,x \ 1),y,z).
R(((x \ 1) \ 1) * K(y,x \ 1),z,u) = T(R(x,z,u) \ 1,y) \ 1.
R(T(x \ 1,y) \ 1,z,u) = T(R(x,z,u) \ 1,y) \ 1.
T(R(x,y,z) \ 1,u) \ 1 = R(T(x \ 1,u) \ 1,y,z).
x \ y = K(z,x) * (((z * x) / z) \ y).
K(x,y) * (((x * y) / x) \ z) = y \ z.
x * y != ((z * u) / z) * w | x \ (u * (K(z,u) * w)) = y.
(x * ((y * z) / y)) \ (z * (K(y,z) * x)) = K((y * z) / y,x).
R(x / y,z,u) * w = R(y \ x,z,u) * (K(y,R(y \ x,z,u)) * w).
R(x \ y,z,u) * (K(x,R(x \ y,z,u)) * w) = R(y / x,z,u) * w.
K(x,y) * (x \ z) = ((y * x) / y) \ z.
((x * y) / x) \ z = K(y,x) * (y \ z).
(x / y) \ z = K(y \ x,y) * ((y \ x) \ z).
K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z.
K(x,(y / x) \ z) = K(x,(x \ y) \ z).
x != K(y,(z / y) \ u) | x = K(y,z \ (u * y)).
K(x,(x \ y) \ z) = K(x,y \ (z * x)).
x != K(y,(y \ R(y,z,u)) \ w) | x = K(R(y,z,u),(y \ 1) \ (R(y,z,u) \ w)).
K(x,R(x,y,z) \ (u * x)) = K(R(x,y,z),(x \ 1) \ (R(x,y,z) \ u)).
K(R(x,y,z),(x \ 1) \ (R(x,y,z) \ u)) = K(x,R(x,y,z) \ (u * x)).
K(x,(x \ 1) \ (R(x,y,z) \ u)) = K(x,R(x,y,z) \ (u * x)).
x != K((y * z) / y,u) | x = K(z,T(u,y)).
(x * ((y * z) / y)) \ (z * (K(y,z) * x)) = K(z,T(x,y)).
K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w).
K(T(x,y),z) = K(x,(y * z) / y).
K(x,(y * z) / y) = K(T(x,y),z).
K(T(x,y \ 1),R(z,y \ 1,y)) = K(x,((1 / y) * z) * y).
K(T(x,y),K(z,x) * u) = K(T(x,y),u).
K((x * (y / T(z,u))) \ (x * y),T(w,u)) = K(L(z,y / T(z,u),x),w).
K(L(x,y / T(x,z),u),w) = K((u * (y / T(x,z))) \ (u * y),T(w,z)).
K(L(x,y / T(x,z),u),w) = K((u * (y / T(x,T(z,K(x,v5))))) \ (u * y),T(w,T(z,K(x,v5)))).
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).
x != K((y * (z / u)) \ (y * z),w) | x = L(K(u,w),z,y).
K(L(x,y / T(x,z),u),w) = L(K(T(x,z),T(w,T(z,K(x,v5)))),y,u).
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).
L(K(x,T(T(y,z),z)),u,w) = K(L(x,u / T(x,z),w),y).
L(K(x,y),z,u) = K(L(x,z / T(x,w),u),y).
K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u).
K(L(x,x \ y,z),u) = L(K(x,u),y,z).
K(L(R(1 / x,x,y),x * y,z),u) = L(K(R(1 / x,x,y),u),y,z).
K(L(R(1 / x,x,y),x * y,z),u) = L(K(x \ 1,u),y,z).
x != L(K(y \ 1,z),u,w) | x = K(L(y,u,w) \ 1,z).
K(L(R(1 / x,x,y),x * y,z),u) = K(L(x,y,z) \ 1,u).
K(L(x / (y * x),y * x,z),u) = K(L(y,x,z) \ 1,u).
K(T(x,y \ 1),z) = K(x,((1 / y) * z) * y).
K(x,((1 / y) * z) * y) = K(T(x,y \ 1),z).
x * (R(T(x,y),z,u) * w) = T(x,y) * (R(x,z,u) * w).
T(x,y) * (R(x,z,u) * w) = x * (R(T(x,y),z,u) * w).
(x * (R(T(x,y),z,u) * y)) \ ((x * y) * R(T(x,y),z,u)) = K(R(x,z,u) * y,T(x,y)).
T(K(x,y),z * y) = T(K(x,y),z).
T(K(x,y),z) = T(K(x,y),z / 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,(y * (z \ u)) \ (y * u)),y * (z \ u)) = T(K(x,L(T(z,z \ u),z \ u,y)),y * u).
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(K(x,L(T(y,z),y \ z,u)),u * z) = T(K(x,(u * (y \ z)) \ (u * z)),u * (y \ 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).
x != K(y,T(z \ u,z)) | x = K(y,u / z).
T(K(x,L(T(y,z),y \ z,u)),u * z) = K(x,(u * z) / (u * (y \ z))).
x != K(y,(z * u) / w) | x = K(y,z / (w / u)).
T(K(x,L(T(y,z),y \ z,u)),u * z) = K(x,u / ((u * (y \ z)) / z)).
((x / y) * z) / (K(y,y \ x) * z) = y \ x.
x != K((y * z) / ((u * y) * z),w) | x = K(R(u,y,z) \ 1,w).
K(x / (y * x),z) = K(R(y,x,u) \ 1,z).
K(R(x,y,z) \ 1,u) = K(y / (x * y),u).
x != K(y / (z * y),u) | x = K(z \ 1,u).
K(R(x,y,z) \ 1,u) = K(x \ 1,u).
(x * (y / x)) \ (y * z) = L(K(x \ y,x) * z,K(x,x \ y),y).
L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z).
K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z).
((T(R(x,y,z),u * T(x,u)) * u) * T(x,u)) \ ((x * u) * R(T(x,u),y,z)) = K(u * T(x,u),R(x,y,z)).
((T(R(x,y,z),x * u) * u) * T(x,u)) \ ((x * u) * R(T(x,u),y,z)) = K(u * T(x,u),R(x,y,z)).
((R(T(x,x * y),z,u) * y) * T(x,y)) \ ((x * y) * R(T(x,y),z,u)) = K(y * T(x,y),R(x,z,u)).
(x * L(K(y,z),u,w)) / x = L(T(K(y,z),x),u,w).
L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z.
(x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z).
(x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u).
(x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z).
x * K(x,y) = T(x,((y \ z) / z) \ 1).
T(x,((y \ z) / z) \ 1) = x * K(x,y).
T(x,((y \ z) / z) \ 1) = T(x,y).
T(x,(y / z) \ 1) = T(x,z / y).
T(x,y \ 1) = T(x,z / (y * z)).
T(x,y / (z * y)) = T(x,z \ 1).
T(x,R(y,z,u) \ 1) = T(x,(z * u) / ((y * z) * u)).
T(x,(y * z) / ((u * y) * z)) = T(x,R(u,y,z) \ 1).
x != T(y,(z * u) / (w * u)) | x = T(y,z / w).
T(x,R(y,z,u) \ 1) = T(x,z / (y * z)).
x != T(y,z / (u * z)) | x = T(y,u \ 1).
T(x,R(y,z,u) \ 1) = T(x,y \ 1).
T(R(x,y,z) \ 1,x \ 1) = R(x,y,z) \ 1.
R(x \ 1,y,z) \ 1 = T(R(x \ 1,y,z) \ 1,x).
T(R(x \ 1,y,z) \ 1,x) = R(x \ 1,y,z) \ 1.
(x * (R(x \ 1,y,z) \ 1)) / x = R(x \ 1,y,z) \ 1.
K(1 / R(x \ 1,y,z),u) * T(R(x \ 1,y,z) \ 1,x) = T(R(x \ 1,y,z) \ 1,T(u,1)).
K(x \ 1,x) * (R((x \ 1) \ 1,y,z) \ 1) = ((x \ 1) * (R((x \ 1) \ 1,y,z) \ 1)) / (1 / x).
((x \ 1) * (R((x \ 1) \ 1,y,z) \ 1)) / (1 / x) = K(x \ 1,x) * (R((x \ 1) \ 1,y,z) \ 1).
K(x,((((y \ 1) * (R((y \ 1) \ 1,z,u) \ 1)) / (1 / y)) \ 1) \ w) = K(x,((R((y \ 1) \ 1,z,u) \ 1) \ 1) \ w).
K(R(1 / x,y,z) \ 1,u) * T(R(x \ 1,y,z) \ 1,x) = T(R(x \ 1,y,z) \ 1,T(u,1)).
K((1 / x) \ 1,y) * T(R(x \ 1,z,u) \ 1,x) = T(R(x \ 1,z,u) \ 1,T(y,1)).
K(x,y) * T(R(x \ 1,z,u) \ 1,x) = T(R(x \ 1,z,u) \ 1,T(y,1)).
K(x,y) * (R(x \ 1,z,u) \ 1) = T(R(x \ 1,z,u) \ 1,T(y,1)).
T(R(x \ 1,y,z) \ 1,T(u,1)) = K(x,u) * (R(x \ 1,y,z) \ 1).
T(R(x \ 1,y,z) \ 1,u) = K(x,u) * (R(x \ 1,y,z) \ 1).
K(x,y) * (R(x \ 1,z,u) \ 1) = T(R(x \ 1,z,u) \ 1,y).
x != K(y \ 1,y) * (R((y \ 1) \ 1,z,u) \ 1) | x = ((y \ 1) * (R((y \ 1) \ 1,z,u) \ 1)) / (1 / y).
T(R((x \ 1) \ 1,y,z) \ 1,x) = ((x \ 1) * (R((x \ 1) \ 1,y,z) \ 1)) / (1 / x).
((x \ 1) * (R((x \ 1) \ 1,y,z) \ 1)) / (1 / x) = T(R((x \ 1) \ 1,y,z) \ 1,x).
K(x,(T(R((y \ 1) \ 1,z,u) \ 1,y) \ 1) \ w) = K(x,((R((y \ 1) \ 1,z,u) \ 1) \ 1) \ w).
K(x,R(T(((y \ 1) \ 1) \ 1,y) \ 1,z,u) \ w) = K(x,((R((y \ 1) \ 1,z,u) \ 1) \ 1) \ w).
x != K(y,((z \ 1) \ 1) \ u) | x = K(y,z \ u).
K(x,R(T(((y \ 1) \ 1) \ 1,y) \ 1,z,u) \ w) = K(x,R((y \ 1) \ 1,z,u) \ w).
x != K(y,R((z \ 1) \ 1,u,w) \ v5) | x = K(y,R(z,u,w) \ v5).
K(x,R(T(((y \ 1) \ 1) \ 1,y) \ 1,z,u) \ w) = K(x,R(y,z,u) \ w).
K(x,y / ((y / z) * K(z \ 1,y))) = K(x,(y \ (y / z)) \ 1).
x != K(y,z / (u * K(w,z))) | x = K(y,T(z,w) / u).
K(x,(y \ (y / z)) \ 1) = K(x,T(y,z \ 1) / (y / z)).
K(x,T(y,z \ 1) / (y / z)) = K(x,(y \ (y / z)) \ 1).
x != K(y,z) * (R(y,u,w) * v5) | x = R(T(y,z),u,w) * v5.
T(x,y) * (R(x,z,u) * (x \ w)) = R(T(x,y),z,u) * w.
T(x,y) * (R(x,z,u) * w) = R(T(x,y),z,u) * (x * w).
R(T(x,y),z,u) * (x * w) = T(x,y) * (R(x,z,u) * w).
x != R(T(y,z),u,w) * (y * z) | x = (T(y,y * z) * z) * R(T(y,z),u,w).
T(x,y) * (R(x,z,u) * y) = (T(x,x * y) * y) * R(T(x,y),z,u).
(T(x,x * y) * y) * R(T(x,y),z,u) = T(x,y) * (R(x,z,u) * y).
x != T(y,z) * (R(y,u,w) * v5) | x = y * (R(T(y,z),u,w) * v5).
(T(x,x * y) * y) * R(T(x,y),z,u) = x * (R(T(x,y),z,u) * y).
L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)).
x != L(T(K(y,z),u),w,v5) \ (u * L(K(y,z),w,v5)) | x = u.
T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x.
T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u).
(x * (K(y,z) * R(K(y,z) \ (x \ u),w,v5))) * K(z,y) = x * R(x \ (u * ((x * K(y,z)) \ x)),w,v5).
(x * (K(y,z) * R(K(z,y) * (x \ u),w,v5))) * K(z,y) = x * R(x \ (u * ((x * K(y,z)) \ x)),w,v5).
(x * (K(y,z) * R(K(z,y) * (x \ u),w,v5))) * K(z,y) = x * R(x \ (u * K(z,y)),w,v5).
(x * R(K(y,z) * (K(z,y) * (x \ u)),w,v5)) * K(z,y) = x * R(x \ (u * K(z,y)),w,v5).
(x * R(x \ y,z,u)) * K(w,v5) = x * R(x \ (y * K(w,v5)),z,u).
x != (y * R(y \ z,u,w)) * K(z,v5) | x = K(z,v5) * (y * R(y \ z,u,w)).
x * R(x \ (y * K(y,z)),u,w) = K(y,z) * (x * R(x \ y,u,w)).
K(x,y) * (z * R(z \ x,u,w)) = z * R(z \ (x * K(x,y)),u,w).
K(x,y) * (z * R(z \ x,u,w)) = z * R(z \ T(x,y),u,w).
((x * R(x \ y,z,u)) * ((y * w) / y)) \ (w * (x * R(x \ T(y,w),z,u))) = K(w,T(x * R(x \ y,z,u),y)).
((x * R(x \ y,z,u)) * ((y * w) / y)) \ ((x * R(x \ y,z,u)) * w) = K(w,T(x * R(x \ y,z,u),y)).
K(x,y) = K(x,T(z * R(z \ y,u,w),y)).
K(x,T(y * R(y \ z,u,w),z)) = K(x,z).
K(x,y * R(y \ z,u,w)) = K(x,z).
K(x,y * R(z,u,w)) = K(x,y * z).
K(x,y \ R(y * z,u,w)) = K(x,z).
K(x,T(y * z,y)) = K(x,z * y).
x != K(y,T(z * u,z)) | x = K(y,T(z * u,u)).
K(x,y * z) = K(x,T(z * y,y)).
K(x,T(y * z,z)) = K(x,z * y).
x != K(y,T(z * u,z)) | x = K(y,(u \ 1) \ z).
K(x,y * z) = K(x,(y \ 1) \ z).
K(x,(y \ 1) \ z) = K(x,y * z).
x != K(y,(y \ 1) \ (R(y,z,u) \ w)) | x = K(y,R(y,z,u) \ (w * y)).
K(x,x * (R(x,y,z) \ u)) = K(x,R(x,y,z) \ (u * x)).
K(x,R(x,y,z) \ (u * x)) = K(x,x * (R(x,y,z) \ u)).
K(x,(y \ 1) * z) = K(x,y \ z).
x != K(y,(z \ 1) * u) | x = K(y,T(z \ 1,z) * u).
K(x,y \ z) = K(x,T(y \ 1,y) * z).
K(x,T(y \ 1,y) * z) = K(x,y \ z).
K(x,R(x,y,z) \ u) = K(x,x * (R(x,y,z) \ (u / x))).
K(x,x * (R(x,y,z) \ (u / x))) = K(x,R(x,y,z) \ u).
K(x,R(y,z,u) / w) = K(x,y / w).
K(x,y * z) = K(x,y / (z \ 1)).
K(x,y / (z \ 1)) = K(x,y * z).
x != K(y,(z * u) / z) | x = K(T(y,z),u).
K(x,((y \ 1) * z) * y) = K(T(x,y \ 1),z).
K(x,(y \ K(z \ 1,z)) * u) = K(x,(y \ 1) * u).
(x / (1 / y)) \ 1 = (x / (y \ 1)) \ K(y,y \ 1).
(x / (y \ 1)) \ K(y,y \ 1) = (x / (1 / y)) \ 1.
((x / (1 / y)) \ 1) \ 1 = ((x / (y \ 1)) \ 1) \ K(y \ 1,y).
((x / (y \ 1)) \ 1) \ K(y \ 1,y) = ((x / (1 / y)) \ 1) \ 1.
K(x,(((y / (1 / z)) \ 1) \ 1) * u) = K(x,(((y / (z \ 1)) \ 1) \ 1) * u).
x != K(y,((z \ 1) \ 1) * u) | x = K(y,z * u).
K(x,(((y / (z \ 1)) \ 1) \ 1) * u) = K(x,(y / (1 / z)) * u).
K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u).
x != K(y,z * (u \ 1)) | x = K(y,z / u).
K(x,(y / (z \ 1)) * (u \ 1)) = K(x,(y / (1 / z)) / u).
x != K(y,(z / u) / w) | x = K(y,z / (w * u)).
K(x,(y / (z \ 1)) * (u \ 1)) = K(x,y / (u * (1 / z))).
K(x,y / (z * (1 / u))) = K(x,(y / (u \ 1)) / z).
K(x,(y / (z \ 1)) / u) = K(x,y / (u * (1 / z))).
K(x,y / (z * (1 / u))) = K(x,y / (z * (u \ 1))).
(x * y) \ ((x * (z \ y)) * L((u * T(z,z \ y)) / u,z \ y,x)) = K(u,((x * y) \ (x * (z \ y))) \ 1).
(x * y) \ ((x * (z \ y)) * L(T((u * z) / u,z \ y),z \ y,x)) = K(u,((x * y) \ (x * (z \ y))) \ 1).
(x * y) \ (x * ((z \ y) * T((u * z) / u,z \ y))) = K(u,((x * y) \ (x * (z \ y))) \ 1).
(x * y) \ (x * (((z * u) / z) * (u \ y))) = K(z,((x * y) \ (x * (u \ y))) \ 1).
(x * y) \ (x * (K(z,u) * y)) = K(z,((x * y) \ (x * (u \ y))) \ 1).
K(x,((y * z) \ (y * (u \ z))) \ 1) = (y * z) \ (y * (K(x,u) * z)).
x != (y * z) \ (y * (u * z)) | x = L(T(u,z),z,y).
K(x,((y * z) \ (y * (u \ z))) \ 1) = L(T(K(x,u),z),z,y).
K(x,T(R((y \ 1) / z,z,y),K(y,y \ 1))) = K(x,(z * y) \ K(y \ 1,y)).
K(x,R((y \ 1) / z,z,y)) = K(x,(z * y) \ K(y \ 1,y)).
K(x,(y \ 1) / z) = K(x,(z * y) \ K(y \ 1,y)).
K(x,(y * z) \ K(z \ 1,z)) = K(x,(z \ 1) / y).
x != K(y,z \ K(u \ 1,u)) | x = K(y,z \ 1).
K(x,(y \ 1) / z) = K(x,(z * y) \ 1).
x * y != L((z \ ((u \ w) \ v5)) * z,u \ w,u) | x \ ((z \ (w \ (u * v5))) * z) = y.
x \ ((y \ (1 \ (x * z))) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y).
(x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (1 \ (x * z))) * y).
(x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y).
R(x \ y,z,u) * (K(x,x \ y) * w) = R(y / x,z,u) * w.
R(x \ y,z,u) \ w = K(x,x \ y) * (R(y / x,z,u) \ w).
K(x,x \ y) * (R(y / x,z,u) \ w) = R(x \ y,z,u) \ w.
x * y != R(z \ u,w,v5) * (K(z,z \ u) * v6) | (R(u / z,w,v5) * v6) / y = x.
(R(x / y,z,u) * w) / R(y \ x,z,u) = (K(y,y \ x) * w) * K(R(y \ x,z,u),K(y,y \ x) * w).
(x \ y) * (R(x \ y,z,u) \ w) = (y / x) * (R(y / x,z,u) \ w).
(x / y) * (R(x / y,z,u) \ w) = (y \ x) * (R(y \ x,z,u) \ w).
((x \ 1) * (R(x \ 1,y,z) \ u)) * x = R(u / R(1 / x,y,z),x \ 1,x).
K(x,R(y / R(1 / z,u,w),z \ 1,z)) = K(T(x,z \ 1),R(z \ 1,u,w) \ y).
K(x,y / R(1 / z,u,w)) = K(T(x,z \ 1),R(z \ 1,u,w) \ y).
K(T(x,y \ 1),R(y \ 1,z,u) \ w) = K(x,w / R(1 / y,z,u)).
K(x,y / R(z \ 1,u,w)) = K(x,y / R(1 / z,u,w)).
K(x,y / R(1 / z,u,w)) = K(x,y / R(z \ 1,u,w)).
(R(x / y,z,u) * w) / R(y \ x,z,u) = (K(y,y \ x) * w) * K(y \ x,K(y,y \ x) * w).
(R(x / y,z,u) * w) / R(y \ x,z,u) = (K(y,y \ x) * w) * K(y \ x,w).
K(x,y \ z) = K(x,(z \ y) \ 1).
K(x,(y \ z) \ 1) = K(x,z \ y).
K(x,y \ 1) = K(x,(z * y) \ z).
K(x,(y * z) \ y) = K(x,z \ 1).
K(x \ y,x) * ((y / x) * z) = (x \ y) * z.
((x / y) * z) / (y \ x) = (K(y,y \ x) * z) * K((K(y,y \ x) * z) \ ((x / y) * z),K(y,y \ x) * z).
(K(x,x \ y) * z) * K((K(x,x \ y) * z) \ ((y / x) * z),K(x,x \ y) * z) = ((y / x) * z) / (x \ y).
(K(x,x \ y) * z) * K(z \ (K(x \ y,x) * ((y / x) * z)),K(x,x \ y) * z) = ((y / x) * z) / (x \ y).
(K(x,x \ y) * z) * K(z \ ((x \ y) * z),K(x,x \ y) * z) = ((y / x) * z) / (x \ y).
(K(x,x \ y) * z) * K(T(x \ y,z),K(x,x \ y) * z) = ((y / x) * z) / (x \ y).
(K(x,x \ y) * z) * K(T(x \ y,z),z) = ((y / x) * z) / (x \ y).
(K(x,x \ y) * z) * K(x \ y,z) = ((y / x) * z) / (x \ y).
x != (K(y,y \ z) * u) * K(y \ z,u) | x = (R(z / y,w,v5) * u) / R(y \ z,w,v5).
((x / y) * z) / (y \ x) = (R(x / y,u,w) * z) / R(y \ x,u,w).
(R(x / y,z,u) * w) / R(y \ x,z,u) = ((x / y) * w) / (y \ x).
K(x,((1 / (1 / R(y / z,u,w))) * v5) / R(z \ y,u,w)) = K(x,((y / z) * v5) / (z \ y)).
x != K(y,z / (u \ 1)) | x = K(y,z * u).
K(x,((1 / (1 / R(1 / y,z,u))) * w) / R(y \ 1,z,u)) = K(x,((1 / y) * w) * y).
x != K(y,((1 / z) * u) * z) | x = K(T(y,z \ 1),u).
K(x,((1 / (1 / R(1 / y,z,u))) * w) / R(y \ 1,z,u)) = K(T(x,y \ 1),w).
K(x,(R(1 / (1 / (1 / y)),z,u) * w) / R(y \ 1,z,u)) = K(T(x,y \ 1),w).
K(x,R(1 / (1 / (1 / y)),z,u) / (R(y \ 1,z,u) / w)) = K(T(x,y \ 1),w).
x != K(T(y,z \ 1),u) | x = K(y,T(u,z)).
K(x,R(1 / (1 / (1 / y)),z,u) / (R(y \ 1,z,u) / w)) = K(x,T(w,y)).
x != K(y,R(z,u,w) / v5) | x = K(y,z / v5).
K(x,T(y,z)) = K(x,(1 / (1 / (1 / z))) / (R(z \ 1,u,w) / y)).
K(x,(1 / (1 / (1 / y))) / (R(y \ 1,z,u) / w)) = K(x,T(w,y)).
K(x,T(y,z)) = K(x,1 / ((R(z \ 1,u,w) / y) * (1 / (1 / z)))).
K(x,1 / ((R(y \ 1,z,u) / w) * (1 / (1 / y)))) = K(x,T(w,y)).
x != K(y,z / (u * (1 / w))) | x = K(y,z / (u * (w \ 1))).
K(x,T(y,z)) = K(x,1 / ((R(z \ 1,u,w) / y) * ((1 / z) \ 1))).
K(x,1 / ((R(y \ 1,z,u) / w) * ((1 / y) \ 1))) = K(x,T(w,y)).
K(x,1 / ((R(y \ 1,z,u) / w) * y)) = K(x,T(w,y)).
K(x,((R(y \ 1,z,u) / w) * y) \ 1) = K(x,T(w,y)).
(x * (K(R(x,y,z),u) * w)) * R(T(x,K(R(x,y,z),u) * w),y,z) = (R(T(x,u),y,z) * w) * T(x,K(R(x,y,z),u) * w).
(x * (K(R(x,y,z),u) * w)) * R(T(x,K(R(x,y,z),u) * w),y,z) = (R(T(x,u),y,z) * w) * T(x,K(x,u) * w).
(x * (K(R(x,y,z),u) * w)) * R(T(x,K(R(x,y,z),u) * w),y,z) = (R(T(x,u),y,z) * w) * T(x,w).
(x * (K(x,y) * z)) * R(T(x,K(R(x,u,w),y) * z),u,w) = (R(T(x,y),u,w) * z) * T(x,z).
(T(x,y) * z) * R(T(x,K(R(x,u,w),y) * z),u,w) = (R(T(x,y),u,w) * z) * T(x,z).
(T(x,y) * z) * R(T(x,K(x,y) * z),u,w) = (R(T(x,y),u,w) * z) * T(x,z).
(T(x,y) * z) * R(T(x,z),u,w) = (R(T(x,y),u,w) * z) * T(x,z).
(R(T(x,y),z,u) * w) * T(x,w) = (T(x,y) * w) * R(T(x,w),z,u).
((T(x,x * y) * y) * R(T(x,y),z,u)) \ ((x * y) * R(T(x,y),z,u)) = K(y * T(x,y),R(x,z,u)).
(x * (R(T(x,y),z,u) * y)) \ ((x * y) * R(T(x,y),z,u)) = K(y * T(x,y),R(x,z,u)).
x != (y * (R(T(y,z),u,w) * z)) \ ((y * z) * R(T(y,z),u,w)) | x = K(R(y,u,w) * z,T(y,z)).
K(x * T(y,x),R(y,z,u)) = K(R(y,z,u) * x,T(y,x)).
K(R(x,y,z) * u,T(x,u)) = K(u * T(x,u),R(x,y,z)).
K(R(x,y,z) * u,T(x,u)) = K(x * u,R(x,y,z)).
K(R(x,y,z) * u,T(x,u)) != w | K(x * u,x) = w.
(x * (y / x)) * (x \ 1) = (x * (y * (x \ 1))) / x.
(x * (y * (x \ 1))) / x = (x * (y / x)) * (x \ 1).
K(x,(R(1 / y,z,u) * (w / R(1 / y,z,u))) * (R(1 / y,z,u) \ 1)) = K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)).
K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)) = K(x,(R(1 / y,z,u) * (w / R(1 / y,z,u))) * (R(1 / y,z,u) \ 1)).
K(x,y * K(z,y \ 1)) = T(K(x,y),z).
(x \ R(y,z,u)) * x = R((x \ y) * x,z,u).
(x \ (y * z)) * x = R((x \ (y / (1 / z))) * x,z \ 1,z).
R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x.
x * y != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x.
((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z).
((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z.
x != ((y \ (z / (1 / u))) * y) * (1 / u) | x = y * (T((y \ z) * u,y) / u).
((x \ (y * z)) * x) / z = x * (T((x \ y) * z,x) / z).
x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z.
x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y.
x != y * (z \ T(z * (y \ u),y)) | x = ((y \ (u / (z \ 1))) * y) * (z \ 1).
((x \ (y * z)) * x) / z = ((x \ (y / (z \ 1))) * x) * (z \ 1).
((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z.
x != ((y \ (z / u)) * y) * u | x = u * ((y \ (u \ z)) * y).
((x \ (y * z)) * x) / z = (z \ 1) * ((x \ ((z \ 1) \ y)) * x).
(x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x.
x != (y \ 1) * ((z \ ((y \ 1) \ u)) * z) | x = y \ ((z \ (y * u)) * z).
((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x).
(x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u).
x != (y * (z \ ((u \ (z * (y \ w))) * u))) \ w | x = K(u,(y * (z \ u)) \ w).
K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u).
x != K(y,(z * (y / z)) \ (y * u)) | x = K(y,K(z \ y,z) * u).
K(x,(y * (y \ x)) \ (x * z)) = K(x,K(y \ x,y) * z).
K(x,x \ (x * y)) = K(x,K(z \ x,z) * y).
K(x,y) = K(x,K(z \ x,z) * y).
K(x,K(y \ x,y) * z) = K(x,z).
K(x * y,K(x,y) * z) = K(x * y,z).
K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x).
K(x * y,x) = K(R(x,z,u) * y,x).
K(R(x,y,z) * u,x) = K(x * u,x).
(K(x * y,x) / x) \ 1 = T(x,R(x,z,u) * y).
T(x,R(x,y,z) * u) = (K(x * u,x) / x) \ 1.
x != (K(y,z) / z) \ 1 | x = T(z,y).
T(x,R(x,y,z) * u) = T(x,x * u).
T(x,y) = T(x,x * (R(x,z,u) \ y)).
T(x,x * (R(x,y,z) \ u)) = T(x,u).
x != T(y,z) | x = y * K(y,z).
T(x,x * (R(x,y,z) \ u)) = x * K(x,u).
K(x,x * (R(x,y,z) \ u)) = K(x,u).
x != K(y,y * (R(y,z,u) \ (w / y))) | x = K(y,R(y,z,u) \ w).
K(x,y / x) = K(x,R(x,z,u) \ y).
K(x,R(x,y,z) \ u) = K(x,u / x).
x != K(y,z / y) | x = K(y,y \ z).
K(x,R(x,y,z) \ u) = K(x,x \ u).
R(x,y,z) * (u / R(x,y,z)) = u * K(x,x \ u).
x != y * K(z,z \ y) | x = z * (y / z).
R(x,y,z) * (u / R(x,y,z)) = x * (u / x).
x * y != z * (u / u) | x \ z = y.
R(x,y,z) \ x = x / R(x,y,z).
x / R(x,y,z) = R(x,y,z) \ x.
K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)) = K(x,((1 / y) * (w / (1 / y))) * (R(1 / y,z,u) \ 1)).
x != R(y,z,u) \ y | x = y * (R(y,z,u) \ 1).
x / R(x,y,z) = x * (R(x,y,z) \ 1).
x * (R(x,y,z) \ 1) = x / R(x,y,z).
R(R(x,y,z) \ x,R(x,y,z),x \ u) = u / (R(x,y,z) * (x \ u)).
R(R(x / y,z,u) \ (x / y),R(x / y,z,u),y) = x / (R(x / y,z,u) * y).
x != R(y \ (z / u),y,u) | x = T(z / (y * u),y).
x / (R(x / y,z,u) * y) = T(x / (R(x / y,z,u) * y),R(x / y,z,u)).
T(x / (R(x / y,z,u) * y),R(x / y,z,u)) = x / (R(x / y,z,u) * y).
T(x / (y * R(y \ x,z,u)),R(x / y,z,u)) = x / (R(x / y,z,u) * y).
T(x / (y * R(y \ x,z,u)),R(x / y,z,u)) = x / (y * R(y \ x,z,u)).
K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)) = K(x,((y \ 1) * (w / (y \ 1))) * (R(1 / y,z,u) \ 1)).
K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)) = K(x,((y \ 1) * (w / (y \ 1))) / R(1 / y,z,u)).
x != K(y,z / R(1 / u,w,v5)) | x = K(y,z / R(u \ 1,w,v5)).
K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)) = K(x,((y \ 1) * (w / (y \ 1))) / R(y \ 1,z,u)).
K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)) = K(x,(y \ 1) / (R(y \ 1,z,u) / (w / (y \ 1)))).
x != K(y,(z \ 1) / u) | x = K(y,(u * z) \ 1).
K(x,(R(1 / y,z,u) * (w * (R(1 / y,z,u) \ 1))) / R(y \ 1,z,u)) = K(x,((R(y \ 1,z,u) / (w / (y \ 1))) * y) \ 1).
K(x,((1 / y) * (z * (R(1 / y,u,w) \ 1))) / (y \ 1)) = K(x,((R(y \ 1,u,w) / (z / (y \ 1))) * y) \ 1).
K(x,((R(y \ 1,z,u) / (w / (y \ 1))) * y) \ 1) = K(x,((1 / y) * (w * (R(1 / y,z,u) \ 1))) * y).
K(x,((R(y \ 1,z,u) / (w / (y \ 1))) * y) \ 1) = K(T(x,y \ 1),w * (R(1 / y,z,u) \ 1)).
K(x,((R(y \ 1,z,u) / (w / (y \ 1))) * y) \ 1) = K(T(x,y \ 1),w / R(1 / y,z,u)).
K(x,((R(y \ 1,z,u) / (w / (y \ 1))) * y) \ 1) = K(T(x,y \ 1),w / R(y \ 1,z,u)).
K(x,((R(y \ 1,z,u) / (w / (y \ 1))) * y) \ 1) = K(x,T(w / R(y \ 1,z,u),y)).
x != K(y,T(z / R(u \ 1,w,v5),u)) | x = K(y,R(u \ 1,w,v5) \ z).
K(x,((R(y \ 1,z,u) / (w / (y \ 1))) * y) \ 1) = K(x,R(y \ 1,z,u) \ w).
x != K(y,((R(z \ 1,u,w) / v5) * z) \ 1) | x = K(y,T(v5,z)).
K(x,R(y \ 1,z,u) \ w) = K(x,T(w / (y \ 1),y)).
K(x,T(y / (z \ 1),z)) = K(x,R(z \ 1,u,w) \ y).
x != K(y,T(z / (u \ 1),w)) | x = K(y,T(z * u,w)).
K(x,R(y \ 1,z,u) \ w) = K(x,T(w * y,y)).
K(x,T(y * z,z)) = K(x,R(z \ 1,u,w) \ y).
x != K(y,T(z * u,u)) | x = K(y,u * z).
K(x,R(y \ 1,z,u) \ w) = K(x,y * w).
x != K(y,R(T(((z \ 1) \ 1) \ 1,z) \ 1,u,w) \ v5) | x = K(y,R(z,u,w) \ v5).
K(x,T(((y \ 1) \ 1) \ 1,y) * z) = K(x,R(y,u,w) \ z).
K(x,R(y,z,u) \ w) = K(x,T(((y \ 1) \ 1) \ 1,y) * w).
x != K(y,T((z \ 1) \ 1,u) * w) | x = K(y,T(z,u) * w).
K(x,R(y,z,u) \ w) = K(x,T(y \ 1,y) * w).
x != K(y,T(z \ 1,z) * u) | x = K(y,z \ u).
K(x,R(y,z,u) \ w) = K(x,y \ w).
K(x,((y * (z \ u)) / u) \ w) = K(x,(y / z) \ w).
K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)).
K(x,K(y,z)) = K(y,K(x,K(y,u) * z)).
K(x,K(y,K(x,z) * u)) = K(y,K(x,u)).
K(x,K(y,K(x,z) * u)) = K(u,K(x,y)).
K(x,K(y,K(x,z) * u)) * (K(x,w) * u) = K(x,w) * T(u,K(x,y)).
K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)).
K(x,y) * T(T(z,K(x,y)),K(x,u)) = T(z * K(x,y),K(x,u)).
T(x,K(y,z)) * K(y,u) = T(x * K(y,u),K(y,z)).
(x * K(y,z)) * K(y,u) = T((K(y,z) * x) * K(y,u),K(y,z)).
T((K(x,y) * z) * K(x,u),K(x,y)) = (z * K(x,y)) * K(x,u).
T(K(x,y) * (z * K(x,u)),K(x,y)) = (z * K(x,y)) * K(x,u).
(x * K(y,z)) * K(y,u) = (x * K(y,u)) * K(y,z).
((x * y) / x) * K(x,z) = (y * K(x,z)) * K(x,y).
x != (y * z) * K(u,y) | x = y * (z * K(u,y)).
((x * y) / x) * K(x,z) = y * (K(x,z) * K(x,y)).
x != y * K(z,y \ 1) | x = K(z,y \ 1) * y.
x * (K(y,((y * x) / y) \ 1) * K(y,x)) = K(y,((y * x) / y) \ 1) * ((y * x) / y).
K(x,((x * y) / x) \ 1) * ((x * y) / x) = y * (K(x,((x * y) / x) \ 1) * K(x,y)).
K(x,y * (K(z,((z * y) / z) \ 1) * K(z,y))) = T(K(x,(z * y) / z),z).
K(x,y * (K(z,(z * y) \ (1 * z)) * K(z,y))) = T(K(x,(z * y) / z),z).
K(x,y * (K(z,(z * y) \ z) * K(z,y))) = T(K(x,(z * y) / z),z).
K(x,y * (K(z,y \ 1) * K(z,y))) = T(K(x,(z * y) / z),z).
T(K(x,(y * z) / y),y) = K(x,z * (K(y,z \ 1) * K(y,z))).
T(K(T(x,y),z),y) = K(x,z * (K(y,z \ 1) * K(y,z))).
K(x,y * (K(z,y \ 1) * K(z,y))) = T(K(T(x,z),y),z).
K(x,(x * y) \ (1 * x)) * ((x * y) / x) = y * (K(x,((x * y) / x) \ 1) * K(x,y)).
K(x,(x * y) \ x) * ((x * y) / x) = y * (K(x,((x * y) / x) \ 1) * K(x,y)).
K(x,y \ 1) * ((x * y) / x) = y * (K(x,((x * y) / x) \ 1) * K(x,y)).
x * (K(y,((y * x) / y) \ 1) * K(y,x)) = K(y,x \ 1) * ((y * x) / y).
x != K(y,z) * ((y * u) / w) | x = (T(y,z) * u) / w.
x * (K(y,((y * x) / y) \ 1) * K(y,x)) = (T(y,x \ 1) * x) / y.
x * (K(y,(y * x) \ (1 * y)) * K(y,x)) = (T(y,x \ 1) * x) / y.
x * (K(y,(y * x) \ y) * K(y,x)) = (T(y,x \ 1) * x) / y.
x * (K(y,x \ 1) * K(y,x)) = (T(y,x \ 1) * x) / y.
K(x,(T(y,z \ 1) * z) / y) = T(K(T(x,y),z),y).
K(x,T(y,z \ 1) / (y / z)) = T(K(T(x,y),z),y).
x != K(y,T(z,u \ 1) / (z / u)) | x = K(y,(z \ (z / u)) \ 1).
T(K(T(x,y),z),y) = K(x,(y \ (y / z)) \ 1).
K(x,(y \ (y / z)) \ 1) = T(K(T(x,y),z),y).
K(x,((y * z) \ (y * (u \ z))) \ 1) = T(K(T(x,y * z),L(T(u,u \ z),u \ z,y)),y * z).
T(K(T(x,y * z),L(T(u,u \ z),u \ z,y)),y * z) = K(x,((y * z) \ (y * (u \ z))) \ 1).
x != K(y,((z * u) \ (z * (w \ u))) \ 1) | x = L(T(K(y,w),u),u,z).
T(K(T(x,y * z),L(T(u,u \ z),u \ z,y)),y * z) = L(T(K(x,u),z),z,y).
T(K(x,T(L(T(y,y \ z),y \ z,u),u * z)),u * z) = L(T(K(x,y),z),z,u).
T(K(x,L(T(T(y,y \ z),u * z),y \ z,u)),u * z) = L(T(K(x,y),z),z,u).
T(K(x,L(T(T(y,z),u * z),y \ z,u)),u * z) = L(T(K(x,y),z),z,u).
K(x,T(L(T(T(y,z),u * z),y \ z,u),u * z)) = L(T(K(x,y),z),z,u).
x != K(y,T(L(T(z,u),w,v5),u)) | x = K(y,L(z,w,v5)).
L(T(K(x,y),z),z,u) = K(x,L(T(y,z),y \ z,u)).
K(x,L(T(y,z),y \ z,u)) = L(T(K(x,y),z),z,u).
K(x,L(T(y,z),y \ z,u)) = L(K(x,T(y,z)),z,u).
T(L(K(x,T(y,z)),z,u),u * z) = K(x,u / ((u * (y \ z)) / z)).
K(x,y / ((y * (z \ u)) / u)) = L(T(K(x,T(z,u)),y * u),u,y).
L(T(K(x,T(y,z)),u * z),z,u) = K(x,u / ((u * (y \ z)) / z)).
L(K(x,T(T(y,z),u * z)),z,u) = K(x,u / ((u * (y \ z)) / z)).
x != L(K(y,T(T(z,u),w * u)),u,w) | x = (w * u) / (w * (K(z,y) * u)).
K(x,y / ((y * (z \ u)) / u)) = (y * u) / (y * (K(z,x) * 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).
K(x,y) * K(y,(z / x) \ 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).
x != K(y,z) * K(z,y) | x = 1.
a(x,K(y,z),u) = 1.
L(x,K(y,z),u) = x.
(x * (K(y,z) * u)) * 1 = (x * K(y,z)) * u.
x * (K(y,z) * u) = (x * K(y,z)) * u.
(x * K(y,z)) * u = x * (K(y,z) * u).
x * 1 != (y * K(z,u)) * w | x = K(z,T(u,y)) * (y * w).
x * (K(y,z) * u) = K(y,T(z,x)) * (x * u).
K(x,T(y,z)) * (z * u) = z * (K(x,y) * u).
K(x,T(y,z)) * u = z * (K(x,y) * (z \ u)).
x * (K(y,z) * (x \ u)) = K(y,T(z,x)) * u.
x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u).
L(x,K(y,z),u) = w \ (w * x).
L(x,K(y,z),u) != w | w = x.
R(x,K(y,z),u) = x.
(x * (K(y \ 1,y) * (z * u))) \ ((x * (K(y \ 1,y) * z)) * u) = a(x * K(y \ 1,y),L(z,K(y \ 1,y),x),u).
(x * T(y,z)) * u = (x * y) * (K(y,z) * u).
(x * y) * (K(y,z) * u) = (x * T(y,z)) * u.
(x * (K(y \ 1,y) * (z * u))) \ ((x * (K(y \ 1,y) * z)) * u) = a(x * K(y \ 1,y),z,u).
x != (y * (K(z,u) * (w * v5))) \ ((y * (K(z,u) * w)) * v5) | x = a(y,K(z,u) * w,v5).
a(x * K(y \ 1,y),z,u) = a(x,K(y \ 1,y) * z,u).
x != a(y * K(z \ 1,z),u,w) | x = a(y,u,w).
a(x,K(y \ 1,y) * z,u) = a(x,z,u).
a(x,y \ 1,z) = a(x,1 / y,z).
a(x,1 / y,z) = a(x,y \ 1,z).
a(x,y,z) = a(x,(y \ 1) \ 1,z).
a(x,(y \ 1) \ 1,z) = a(x,y,z).
a(x,y,z) = a(x,y * K(u,u \ 1),z).
a(x,y * K(z,z \ 1),u) = a(x,y,u).
x != a(y,z * K(u,u \ 1),w) | x = a(y,z,K(u,u \ 1) * w).
a(x,y,z) = a(x,y,K(u,u \ 1) * z).
a(x,y,K(z,z \ 1) * u) = a(x,y,u).
a(x,y,1 / z) = a(x,y,z \ 1).
x != y \ (K(z,T(u,y)) * w) | x = (y * K(u,z)) \ w.
K(x,y) * (z \ u) = (z * K(y,x)) \ u.
(x * K(y,z)) \ u = K(z,y) * (x \ u).
x != (y * K(z \ y,u)) \ (z * w) | x = L(T(z \ y,u) \ w,T(z \ y,u),z).
K(x,y \ z) * (z \ (y * u)) = L(T(y \ z,x) \ u,T(y \ z,x),y).
L(T(x \ y,z) \ u,T(x \ y,z),x) = K(z,x \ y) * (y \ (x * u)).
(x * y) \ z = K(y,u) * ((x * T(y,u)) \ z).
K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u.
(x * T(y,z)) * ((x * y) \ u) = x * (K(y,z) * (x \ u)).
(K(x,y) * z) \ u = K(y,T(x,z)) * (z \ u).
K(x,T(y,z)) * (z \ u) = (K(y,x) * z) \ u.
(x * T(y,z)) \ (x * (K(y,z) * (x \ u))) = (x * y) \ u.
L(x \ (y \ z),T(x,u),y) = (y * x) \ z.
x != (y * z) \ (y * (z * u)) | x = L(u,z,y).
L(x \ (y \ (y * (x * z))),T(x,u),y) = L(z,x,y).
L(x \ (x * y),T(x,z),u) = L(y,x,u).
L(x,T(y,z),u) = L(x,y,u).
x != L(y,z,u \ w) | x = L(y,z,w / u).
L(x,T(y,z),u \ w) = L(x,y,w / u).
L(x,y \ z,u) = L(x,z / y,u).
L(x,y / z,u) = L(x,z \ y,u).
L(x,y \ z,u \ w) = L(x,z / y,w / u).
L(x,y / z,u / w) = L(x,z \ y,w \ u).
L(x,y \ z,z \ y) * ((y / z) * (z / y)) = (y / z) * ((z / y) * x).
(x * y) / L(z,z \ y,x) = x * (y / z).
(x * (((y \ z) / z) * y)) / L(u,u \ x,((y \ z) / z) * y) = (((y \ z) / z) * y) * (x / u).
a(x,y,z) = a(x,y,(z \ 1) \ 1).
a(x,y,(z \ 1) \ 1) = a(x,y,z).
a(x,y,R(z \ 1,z,u)) = a(x,y,u / (z * u)).
T(x,(K(y,x) * z) \ u) = T(x,z \ u).
R(x,T(K(y,z),u),w) = x.
x \ ((K(y,z) * x) * u) = T(K(y,z),x) * u.
x \ ((y * T(y \ x,z)) * u) = T(K(x / y,z),x) * u.
x != y \ ((z * T(z \ y,u)) * w) | x = (y \ (z * w)) * T((y \ (z * w)) \ w,u).
T(K(x / y,z),x) * u = (x \ (y * u)) * T((x \ (y * u)) \ u,z).
(x \ (y * z)) * T((x \ (y * z)) \ z,u) = T(K(x / y,u),x) * z.
K(x / (y \ (z * x)),u) = T(K(y / z,u),y).
T(K(x / y,z),x) = K(u / (x \ (y * u)),z).
K(x \ y,z) = K(u / (y \ (x * u)),z).
K(x / (y \ (z * x)),u) = K(z \ y,u).
K((x \ (y * z)) \ z,u) = K(y \ x,T(u,z)).
K(x / (y \ z),u) = K((z / x) \ y,u).
K(x / y,z) = K(u \ ((u * x) / y),z).
K(x \ ((x * y) / z),u) = K(y / z,u).
K(x / y,z) = K(((u * y) / x) \ u,z).
K(((x * y) / z) \ x,u) = K(z / y,u).
K((x \ y) / z,u) = K(x \ (y / z),u).
1 / (x \ K(y / z,x)) = T(x,((u * z) / y) \ u).
T(x,((y * z) / u) \ y) = 1 / (x \ K(u / z,x)).
K((T(x * y,K(y,z)) / u) \ T(x,K(y,z)),w) = K(u / y,w).
T(x,((y * z) / u) \ y) = T(x,u / z).
K(x,T(y,z / u)) = K(x,T(y,(x * u) / z)).
K(x,T(y,(x * z) / u)) = K(x,T(y,u / z)).
(x \ 1) / (x \ K((y / z) \ u,x)) = K(x,z / (u \ y)).
T(K((1 / x) \ y,z),y) = K((y \ 1) \ x,z).
x != (y \ 1) / (y \ K(z,y)) | x = K(y,z).
K(x,y / (z \ u)) = K(x,(u / y) \ z).
T(K(x,(y / z) \ u),z) = K(x,(u \ y) \ z).
x * K(x,(y \ z) \ u) = T(x,T((z / u) \ y,u)).
T(x,T((y / z) \ u,z)) = x * K(x,(u \ y) \ z).
T(x,T((y / z) \ u,z)) = T(x,(u \ y) \ z).
x != T(y,T((1 / z) \ u,z)) | x = T(y,u / (1 / z)).
T(x,(y \ 1) \ z) = T(x,y / (1 / z)).
T(x,y / (1 / z)) = T(x,(y \ 1) \ z).
x != T(y,z / (1 / u)) | x = T(y,z * u).
T(x,(y \ 1) \ z) = T(x,y * z).
T(x,y / z) = T(x,(y \ 1) \ (z \ 1)).
T(x,(y \ 1) \ (z \ 1)) = T(x,y / z).
K(x,T(y,((x * z) \ 1) \ u)) = K(x,T(y,(1 / u) / z)).
K(x,T(y,z * u)) = K(x,T(y,u \ (z \ 1))).
K(x,T(y,z \ (u \ 1))) = K(x,T(y,u * z)).
K(x,T(y,(z \ 1) \ u)) = K(x,T(y,z * u)).
T(x,y \ (z \ 1)) = T(x,(1 / y) / z).
T(x,(1 / y) / z) = T(x,y \ (z \ 1)).
K(x,T(y,((x * z) \ 1) \ u)) = K(x,T(y,u \ (z \ 1))).
x != K(y,T(z,(u \ 1) \ w)) | x = K(y,T(z,u * w)).
K(x,T(y,z \ (u \ 1))) = K(x,T(y,(x * u) * z)).
x != K(y,T(z,u \ (w \ 1))) | x = K(y,T(z,w * u)).
K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)).
K(x \ ((x * y) / (z * y)),u) = K(z \ 1,u).
K(x \ (y \ z),u) = K(y \ (z / x),T(u,x)).
K(x \ (y / z),T(u,z)) = K(z \ (x \ y),u).
K(x \ y,T(z,u)) = K(u \ (x \ (y * u)),z).
K(x \ (y \ (z * x)),u) = K(y \ z,T(u,x)).
K(x \ (y / (1 / z)),T(u,z \ 1)) = K((1 / z) \ (x \ y),u).
K(x \ (y / (1 / z)),T(u,z)) = K((1 / z) \ (x \ y),u).
x != K((1 / y) \ z,u) | x = K((y \ 1) \ z,u).
K(x \ (y / (1 / z)),T(u,z)) = K((z \ 1) \ (x \ y),u).
K(x / (1 / y),z) = K((x \ 1) \ y,z).
x != K((y \ z) / u,w) | x = K(y \ (z / u),w).
K(((x \ y) \ 1) \ z,u) = K(x \ (y / (1 / z)),u).
K((x \ y) \ L(z \ 1,z,y),u) = K((y * z) \ x,T(u,L(z \ 1,z,y))).
K((x * y) \ z,T(u,L(y \ 1,y,x))) = K((z \ x) \ L(y \ 1,y,x),u).
L(K(x \ y,T(z,u)),u,y) = K((x * u) \ (y * u),z).
L(K(x,T(y,z)),z,u * x) = K((u * z) \ ((u * x) * z),y).
K((x * y) \ z,T(u,y \ 1)) = K((z \ x) \ L(y \ 1,y,x),u).
K((x \ y) \ L(z \ 1,z,y),u) = K((y * z) \ x,T(u,z \ 1)).
x != K(y,T(z,u \ 1)) | x = K(y,T(z,u)).
K((x \ y) \ L(z \ 1,z,y),u) = K((y * z) \ x,T(u,z)).
T(x,y \ z) = T(x,y \ (K(u,x) * z)).
T(x,y \ (K(z,x) * u)) = T(x,y \ u).
T(x,y \ x) = T(x,y \ T(x,z)).
T(x,y \ T(x,z)) = T(x,y \ x).
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).
x != K(y,T(z,u)) * (u \ w) | x = (K(z,y) * u) \ w.
(x \ T(y,z)) * K(u,y) = (K(y,u) * x) \ T(y,z).
(K(x,y) * z) \ T(x,u) = (z \ T(x,u)) * K(y,x).
x \ y = (x \ T(y,z)) * K(z,y).
(x \ T(y,z)) * K(z,y) = x \ y.
(x \ y) * K(y,z) = x \ T(y,z).
x * K(y * x,z) = y \ T(y * x,z).
x \ T(x * y,z) = y * K(x * y,z).
K((x \ 1) \ y,z) = K(x * y,z).
K(R(T(x,y * z),y,z),u) = K(y \ (L(x,z,y) * y),T(u,z)).
K(x \ (L(y,z,x) * x),T(u,z)) = K(R(T(y,x * z),x,z),u).
K(T(L(x,y,z),z),T(u,y)) = K(R(T(x,z * y),z,y),u).
K(R(T(x,y * z),y,z),u) = K(T(L(x,z,y),y),T(u,z)).
K(R(T(x,y * z),y,z),u) = K(L(x,z,y),T(T(u,z),y)).
K((x * y) \ ((x * z) * y),u) = K(L(z,y,x),T(T(T(u,x),y),x)).
K(L(x,y,z),T(T(T(u,z),y),z)) = K((z * y) \ ((z * x) * y),u).
K(L(x,y,z),T(u,y)) = K((z * y) \ ((z * x) * y),u).
K((x * y) \ ((x * z) * y),u) = K(L(z,y,x),T(u,y)).
x != K((y * z) \ ((y * u) * z),w) | x = L(K(u,T(w,z)),z,y * u).
K(L(x,y,z),T(u,y)) = L(K(x,T(u,y)),y,z * x).
L(K(x,T(y,z)),z,u * x) = K(L(x,z,u),T(y,z)).
L(K(x,y),z,u * x) = K(L(x,z,u),T(y * K(z,y),z)).
L(K(x,y),z,u * x) = K(L(x,z,u),y).
x != L(y,z,u * w) | x = L(y,z,w * u).
K(L(x,y,z),u) = L(K(x,u),y,x * z).
L(K(x,y),z,x * u) = K(L(x,z,u),y).
x != L(y,T(z,u),w) | x = L(y,z,w).
K(x,y \ z) * (z \ (y * u)) = L(T(y \ z,x) \ u,y \ z,y).
L(T(x \ y,z) \ u,x \ y,x) = K(z,x \ y) * (y \ (x * u)).
T(x \ y,z) * (K(z,x \ y) * (y \ (x * T(u,z)))) = T((x \ y) * (y \ (x * u)),z).
x != T(y,z) * (K(z,y) * u) | x = y * u.
T((x \ y) * (y \ (x * z)),u) = (x \ y) * (y \ (x * T(z,u))).
(x \ y) * (y \ (x * T(z,u))) = T((x \ y) * (y \ (x * z)),u).
(x \ y) * ((y \ x) * T((y \ x) \ z,u)) = T((x \ y) * (y \ (x * (x \ (y * z)))),u).
(x \ y) * ((y \ x) * T((y \ x) \ z,u)) = T((x \ y) * z,u).
(x \ y) \ T((x \ y) * z,u) = (y \ x) * T((y \ x) \ z,u).
x * y != (z \ u) \ T((z \ u) * w,v5) | x \ ((u \ z) * T((u \ z) \ w,v5)) = y.
x \ ((y \ z) * T((y \ z) \ x,u)) = K(((z \ y) \ 1) \ x,u).
K((x \ y) \ z,u) = K(((y \ x) \ 1) \ z,u).
K(((x \ y) \ 1) \ z,u) = K((y \ x) \ z,u).
x != K((y \ 1) \ z,u) | x = K(y * z,u).
K((x \ y) \ z,u) = K((y \ x) * z,u).
x != K(((y \ z) \ 1) \ u,w) | x = K(y \ (z / (1 / u)),w).
K((x \ y) \ z,u) = K(y \ (x / (1 / z)),u).
K(x \ (y / (1 / z)),u) = K((y \ x) \ z,u).
x != K(y \ (z / (1 / u)),T(w,u)) | x = K((u \ 1) \ (y \ z),w).
K((x \ y) \ z,T(u,z)) = K((z \ 1) \ (y \ x),u).
K((x \ 1) \ (y \ z),u) = K((z \ y) \ x,T(u,x)).
x != K(y \ z,T(u,z)) | x = K(z / y,u).
K((x \ 1) \ (y \ z),u) = K(x / (z \ y),u).
x != K(y / (z \ u),w) | x = K((u / y) \ z,w).
K((x \ 1) \ (y \ z),u) = K((y / x) \ z,u).
K((x / y) \ z,u) = K(y * (x \ z),u).
x != K((T(y * z,K(z,u)) / w) \ T(y,K(z,u)),v5) | x = K(w / z,v5).
K(x * (T(y * z,K(z,u)) \ T(y,K(z,u))),w) = K(x / z,w).
K(a(x,y,z) \ u,w) = K((x * (y * z)) * (((x * y) * z) \ u),w).
K((x * (y * z)) * (((x * y) * z) \ u),w) = K(a(x,y,z) \ u,w).
x != K((y \ z) \ L(u \ 1,u,z),w) | x = K((z * u) \ y,T(w,u)).
K((x \ y) * L(z \ 1,z,x),u) = K((x * z) \ y,T(u,z)).
K(x * L(y \ 1,y,z),u) = K(x / y,u).
x != K((y \ z) * L(u \ 1,u,y),w) | x = K((y * u) \ z,T(w,u)).
K((x \ y) / z,u) = K((x * z) \ y,T(u,z)).
K((x * y) \ z,T(u,y)) = K((x \ z) / y,u).
K((x * y) \ z,T(u,y)) = K(x \ (z / y),u).
x != K((y * z) \ (y * u),T(w,z)) | x = K(L(u / z,z,y),w).
K(x \ ((x * y) / z),u) = K(L(y / z,z,x),u).
K(L(x / y,y,z),u) = K(z \ ((z * x) / y),u).
x != K(y \ ((y * z) / (u * z)),w) | x = K(u \ 1,w).
K(L(x / (y * x),y * x,z),u) = K(y \ 1,u).
x != K(L(y / (z * y),z * y,u),w) | x = K(L(z,y,u) \ 1,w).
K(x \ 1,y) = K(L(x,z,u) \ 1,y).
K(L(x,y,z) \ 1,u) = K(x \ 1,u).
x != K(L(y,z,u) \ 1,w) | x = L(K(y \ 1,w),z,u).
K(x \ 1,y) = L(K(x \ 1,y),z,u).
L(K(x \ 1,y),z,u) = K(x \ 1,y).
a(x,y,K(z \ 1,u)) = 1.
a(x,y,K(z,u)) = 1.
L(K(x,y),z,u) = K(x,y).
x != L(K(y,z),u,y * w) | x = K(L(y,u,w),z).
K(x,y) = K(L(x,z,u),y).
K(L(x,y,z),u) = K(x,u).
x != L(K(y,T(z,u \ w)),u \ w,u) | x = w \ (u * (T(u \ w,K(z,y)) * K(y,z))).
K(x,T(y,z \ u)) = u \ (z * (T(z \ u,K(y,x)) * K(x,y))).
x \ (y * (T(y \ x,K(z,u)) * K(u,z))) = K(u,T(z,y \ x)).
x != L(K(y,z),u * z,w) | x = K(y,L(z,u,w)).
K(x,y) = K(x,L(y,z,u)).
K(x,L(y,z,u)) = K(x,y).
x != L(K(y \ (z \ u),w),z \ u,z) | x = K((z * y) \ u,w).
K(x \ (y \ z),u) = K((y * x) \ z,u).
K((x * y) \ z,u) = K(y \ (x \ z),u).
(x * y) * K(z,u) = x * (y * K(z,u)).
L(K(x,y),z,u) \ (w * (K(x,y) * v5)) = v5 * T(w,K(x,y) * v5).
K(x * K(y \ (z \ u),x),w) = K(x,T(w,(z * y) \ u)).
K(x,T(y,z \ (u \ w))) = K(x,T(y,(u * z) \ w)).
K(x,T(y,(z * u) \ w)) = K(x,T(y,u \ (z \ w))).
(x * (y * K(z,u))) * K(u,z) = x * y.
(x * K(y,z)) / u = x / (u * K(z,y)).
(x * (y * K(z,u))) * L(K(u,z),w,v5) = x * y.
x \ (y * (K(z,u) * (y \ x))) = K(z,T(u,y \ x)).
x \ (K(y,T(z,u)) * x) = K(y,T(z,u \ x)).
T(K(x,T(y,z)),u) = K(x,T(y,z \ u)).
K(x,T(T(y,z),u)) = K(x,T(y,z \ u)).
K(x,T(T(y,z),z * u)) = K(x,T(y,u)).
K(x,T(y,z * u)) = K(T(x,z),T(y,u)).
K(T(x,y),T(z,u)) = K(x,T(z,y * u)).
K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)).
K(x,T(T(y,z),u)) = K(x,T(y,u * z)).
T(x * K(y,T(x,z * u)),T(T(y,u),z)) = x.
x != K(y,T(T(z,u),w)) | x = K(y,T(z,u \ w)).
K(x,T(y,z * u)) = K(x,T(y,u \ z)).
K(x,T(y,z \ u)) = K(x,T(y,u * z)).
K(x,T(y,z)) = K(x,T(y,z * a(u,w,v5))).
K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)).
K(x,T(y,z \ u)) = K(x,T(y,z * u)).
x != K(y,T(z,(u * w) \ v5)) | x = K(y,T(z,w \ (u \ v5))).
K(x,T(y,z * (u * w))) = K(x,T(y,w \ (u \ z))).
K(x,T(y,z \ (u \ w))) = K(x,T(y,w * (u * z))).
x != K(y,T(z,u \ w)) | x = K(y,T(z,w * u)).
K(x,T(y,z * (u * w))) = K(x,T(y,(u \ z) * w)).
K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))).
K(x,T(y,z * u)) = K(x,T(y,u * z)).
x != K(y,T(z,(y * u) * w)) | x = K(y,T(z,u * w)).
K(x,T(y,z * (x * u))) = K(x,T(y,u * z)).
K(x,T(y,z)) = K(x,T(y,(u \ z) * u)).
K(x,T(y,(z \ u) * z)) = K(x,T(y,u)).
(x * (y * K(z,u))) / w = (x * y) / (w * K(u,z)).
a(x,y,z * K(u,w)) = ((x * y) * z) / ((x * (y * (z * K(u,w)))) * K(w,u)).
((x * y) * z) / ((x * (y * (z * K(u,w)))) * K(w,u)) = a(x,y,z * K(u,w)).
R(x,y,z * K(u,w)) = ((x * y) * z) / ((y * (z * K(u,w))) * K(w,u)).
((x * y) * z) / ((y * (z * K(u,w))) * K(w,u)) = R(x,y,z * K(u,w)).
((x * y) * z) / (y * z) = R(x,y,z * K(u,w)).
R(x,y,z * K(u,w)) = ((x * y) * z) / (y * z).
R(x,y,z * K(u,w)) = R(x,y,z).
x != R(y,K(z \ 1,z) * u,w * K(z,z \ 1)) | x = R(y,u,w).
R(x,K(y \ 1,y) * z,u) = R(x,z,u).
R(x,y,K(z,z \ 1) * u) = R(x,y,u).
R(x,y,z) = R(x,y,T(z,u)).
R(x,y,T(z,u)) = R(x,y,z).
R(x,y,z / u) = R(x,y,u \ z).
x != R(y,z,u) | x = R(y,z,T(u,w)).
R(x,y,T(z,u)) = R(x,y,T(z,w)).
x != y | x = y * 1.
R(x,y,T(z,u)) = R(x,y,z) * 1.
x != R(1 / y,y,T(z,y)) | x = T(z,y) / (z * y).
R(1 / x,x,y) = T(y,x) / (y * x).
T(x,y) / (x * y) = R(1 / y,y,x).
T(x \ R(x,y,z),u) = x \ R(x,y,T(z,w)).
x * T(x \ R(x,y,z),u) = R(x,y,T(z,w)).
R(x,y,T(z,u)) = x * T(x \ R(x,y,z),w).
R(x,y \ 1,z) = R(x,1 / y,z).
R(x,1 / y,z) = R(x,y \ 1,z).
R(x,y,z) = R(x,(y \ 1) \ 1,z).
R(x,(y \ 1) \ 1,z) = R(x,y,z).
x != R(y,y \ 1,z) | x = z / ((y \ 1) * z).
R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y).
R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z.
(x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u.
((x * y) * z) / (x * ((y * (z * K(u,w))) * K(w,u))) = a(x,y,z * K(u,w)).
((x * y) * z) / (x * (y * z)) = a(x,y,z * K(u,w)).
a(x,y,z * K(u,w)) = ((x * y) * z) / (x * (y * z)).
x != ((y * z) * u) / (y * (z * u)) | x = a(y,z,u) * K(w,a(v5,v6,v7)).
a(x,y,z * K(u,w)) = a(x,y,z) * K(v5,a(v6,v7,v8)).
x != ((y * z) * u) / (y * (z * u)) | x = a(y,z,u).
a(x,y,z * K(u,w)) = a(x,y,z).
x != a(y,z,u) | x = T(a(y,z,u),w).
a(x,y,z * K(u,w)) = T(a(x,y,z),v5).
T(a(x,y,z),u) = a(x,y,z * K(w,v5)).
a(x,y,z) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = a(x,y,z).
a(x,y,z / u) = a(x,y,u \ z).
x != a(y * z,u,w) | x = a(z * y,u,w).
a(x * y,z,T(u,w)) = a(y * x,z,u).
a(x,y,T(z,u)) = T(a(x,y,z),w).
T(a(x,y,z),u) = a(x,y,T(z,w)).
a(x / y,z,T(u,w)) = a(y \ x,z,u).
(x * (y * z)) * a(x,z,y) = (x * z) * T(y,z).
a(x / ((y * z) \ y),u,T(w,v5)) = a(L(z \ 1,z,y) \ x,u,w).
a(L(x \ 1,x,y) \ z,u,w) = a(z / ((y * x) \ y),u,T(w,v5)).
K((x * (y * z)) / (x * y),u) = K(z,T(u,x * (y * z))).
x != K(L(y,z,u),T(w,u * z)) | x = K((u * (z * y)) / (u * z),w).
K(x,T(y,z * u)) = K((z * (u * x)) / (z * u),y).
K((x * (y * z)) / (x * y),u) = K(z,T(u,x * y)).
x != K((y * (z * u)) / (y * z),w) | x = K(u,T(w,y * (z * u))).
K(x,T(y,z * u)) = K(x,T(y,z * (u * x))).
K(x,T(y,z * (u * x))) = K(x,T(y,z * u)).
R(x,y,T(z,u)) != w | w = R(x,y,z).
R(x,y,T(z,u)) != w | R(x,y,z) = w.
T(a(x,y,z),u) = a(x,y,w * (z / w)).
a(x,y,z * (u / z)) * w = w * a(x,y,u).
a(x,y,z * u) * w = w * a(x,y,u * z).
R(a(x,y,z),u \ 1,w) \ (((1 / u) * a(x,y,z)) * w) = T(1 / u,a(x,y,z)) * w.
x != (a(y,z,u) * (w * v5)) * a(a(y,z,u),v5,w) | x = (a(y,z,u) * w) * v5.
(a(x,y,z) * u) * T(w,u) = (a(x,y,z) * w) * u.
x * y != (a(z,u,w) * v5) * T(v6,v5) | ((a(z,u,w) * v6) * v5) / y = x.
((a(x,y,z) * u) * w) / (a(x,y,z) * w) = T(u * K(a(x,y,z) * w,u),w).
T(x * K(a(y,z,u) * w,x),w) = ((a(y,z,u) * x) * w) / (a(y,z,u) * w).
T(x * K(a(y,z,u) * w,x),w) != v5 | R(x,a(y,z,u),w) = v5.
R(x,a(y,z,u),w / (w / v5)) = T(x * K(a(y,z,u) * (w / (w / v5)),x),T(v5,w)).
T(x * K(a(y,z,u) * (w / (w / v5)),x),T(v5,w)) = R(x,a(y,z,u),w / (w / v5)).
x != R(y,z,u / w) | x = R(y,z,w \ u).
T(x * K(a(y,z,u) * (w / (w / v5)),x),T(v5,w)) = R(x,a(y,z,u),(w / v5) \ w).
T(x * K(a(y,z,u) * (w / (w / v5)),x),T(v5,w)) = R(x,a(y,z,u),v5).
R(x,a(y,z,u),w) * K(T(w,v5),x * K(a(y,z,u) * (v5 / (v5 / w)),x)) = x * K(a(y,z,u) * (v5 / (v5 / w)),x).
T(x * K(a(y,z,u) * (T(w,v5) / (T(w,v5) / T(v5,v6))),x),T(T(v5,w),v6)) = R(x,a(y,z,u),T(v5,v6)).
T(x * K(a(y,z,u) * T(T(w,v5) / (T(w,v5) / v5),v6),x),T(T(v5,w),v6)) = R(x,a(y,z,u),T(v5,v6)).
T(x * K(a(y,z,u) * T(w * K(w \ v5,w),v6),x),T(T(w,v5),v6)) = R(x,a(y,z,u),T(w,v6)).
T(x * K(a(y,z,u) * T(w / (w / v5),v6),x),T(T(v5,w),v6)) = R(x,a(y,z,u),T(v5,v6)).
R(x,a(y,z,u),w) * K(T(w,v5),T(x,a(y,z,u) * (v5 / (v5 / w)))) = x * K(a(y,z,u) * (v5 / (v5 / w)),x).
R(x,a(y,z,u),w) * K(T(w,v5),T(x,v5 / (v5 / w))) = x * K(a(y,z,u) * (v5 / (v5 / w)),x).
R(x,a(y,z,u),w) * K(T(w,v5),T(x,T(w,v5))) = x * K(a(y,z,u) * (v5 / (v5 / w)),x).
R(x,a(y,z,u),w) * K(T(w,v5),x) = x * K(a(y,z,u) * (v5 / (v5 / w)),x).
R(x,a(y,z,u),w) * K(w,T(x,v5)) = x * K(a(y,z,u) * (v5 / (v5 / w)),x).
x * K(a(y,z,u) * (w / (w / v5)),x) = R(x * K(v5,T(x,w)),a(y,z,u),v5).
R(x * K(y,T(x,z)),a(u,w,v5),y) = x * K(a(u,w,v5) * (z / (z / y)),x).
T(a(x,y,z),u) = a(x,y,(z \ w) \ w).
a(x,y,T(z,u)) != w | w = a(x,y,z).
a(x,y,T(z,u)) != w | a(x,y,z) = w.
(x \ (x / ((y \ 1) \ 1))) / ((x \ (x / y)) * y) = R(1 / y,y,x \ (x / y)).
x != R(y,z,T(u,w)) | x = R(y,z,u).
T(x * K(a(y,z,u) * T(w / (w / v5),v6),x),T(T(v5,w),v6)) = R(x,a(y,z,u),v5).
R(x,a(y,z,u),w) * K(T(T(w,v5),v6),x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x)) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,a(y,z,u),w) * K(T(T(w,v5),v6),T(x,a(y,z,u) * T(v5 / (v5 / w),v6))) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)).
(x * (K(y,z) * u)) * L(K(z,y),w,v5) = x * T(u,K(y,z)).
x != L(K(y,z),u,w) \ v5 | x = L(K(z,y),u,w) * v5.
x * T(y,K(z,u) * x) = L(K(u,z),w,v5) * (y * (K(z,u) * x)).
L(K(x,y),z,u) * (w * (K(y,x) * v5)) = v5 * T(w,K(y,x) * v5).
a(x,y,z / (z / u)) = a(x,y,u) * K(w,a(v5,v6,v7)).
(x * y) * (K(y,z) * R((x * T(y,z)) \ u,w,v5)) = R(u / (x * T(y,z)),w,v5) * (x * T(y,z)).
(x * y) * R(K(y,z) * ((x * T(y,z)) \ u),w,v5) = R(u / (x * T(y,z)),w,v5) * (x * T(y,z)).
(x * y) * R((x * y) \ z,u,w) = R(z / (x * T(y,v5)),u,w) * (x * T(y,v5)).
R(x / (y * T(z,u)),w,v5) * (y * T(z,u)) = (y * z) * R((y * z) \ x,w,v5).
(x * T(y,z)) * R((x * T(y,z)) \ u,w,v5) = (x * y) * R((x * y) \ u,w,v5).
x != (y * T(z,u)) * R((y * T(z,u)) \ (z * u),w,v5) | x = (y * R(y \ u,w,v5)) * T(z,u).
(x * y) * R((x * y) \ (y * z),u,w) = (x * R(x \ z,u,w)) * T(y,z).
(x * R(x \ y,z,u)) * T(w,y) = (x * w) * R((x * w) \ (w * y),z,u).
(T(x * K(y,x),z) * R(T(x * K(y,x),z) \ u,w,v5)) * T(y,u) = (y * T(x,z)) * R((T(x * K(y,x),z) * y) \ (y * u),w,v5).
((x * K(y,x)) * R((x * K(y,x)) \ z,u,w)) * T(y,z) = (y * T(x,v5)) * R((T(x * K(y,x),v5) * y) \ (y * z),u,w).
((x * K(y,x)) * R(K(x,y) * (x \ z),u,w)) * T(y,z) = (y * T(x,v5)) * R((T(x * K(y,x),v5) * y) \ (y * z),u,w).
(x * (K(y,x) * R(K(x,y) * (x \ z),u,w))) * T(y,z) = (y * T(x,v5)) * R((T(x * K(y,x),v5) * y) \ (y * z),u,w).
(x * T(y,z)) * R((T(y * K(x,y),z) * x) \ (x * u),w,v5) = (y * (K(x,y) * R(K(y,x) * (y \ u),w,v5))) * T(x,u).
(x * T(y,z)) * R((T(y * K(x,y),z) * x) \ (x * u),w,v5) = (y * R(K(x,y) * (K(y,x) * (y \ u)),w,v5)) * T(x,u).
(x * T(y,z)) * R((T(y * K(x,y),z) * x) \ (x * u),w,v5) = (y * R(y \ u,w,v5)) * T(x,u).
(x * T(y,z)) * R((x * T(y,z)) \ (x * u),w,v5) = (y * R(y \ u,w,v5)) * T(x,u).
x * (T(y,z) * R(T(y,z) \ u,w,v5)) = (y * R(y \ u,w,v5)) * T(x,u).
(x * R(x \ y,z,u)) * T(w,y) = w * (T(x,v5) * R(T(x,v5) \ y,z,u)).
(x * R(x \ y,z,u)) * T(w,y) = w * (x * R(x \ y,z,u)).
T(x,y) = T(x,z * R(z \ y,u,w)).
T(x,y * R(y \ z,u,w)) = T(x,z).
x * y != (z * R(z \ u,w,v5)) * T(v6,u) | x \ (v6 * (z * R(z \ u,w,v5))) = y.
(T(x,y) * (z * R(z \ y,u,w))) \ (x * (z * R(z \ y,u,w))) = K(z * R(z \ y,u,w),T(x,y)).
T(x,R(y,z,u) * (y \ w)) = T(x,w).
T(x,T(y * z,y)) = T(x,z * y).
K(x,T(y,z * R(z \ x,u,w))) = K(z * R(z \ x,u,w),T(y,x)).
K(x * R(x \ y,z,u),T(w,y)) = K(y,T(w,x * R(x \ y,z,u))).
K(x * R(x \ y,z,u),T(w,y)) = K(y,T(w,y)).
x != K(y,T(z,y)) | x = K(y,z).
K(x * R(x \ y,z,u),T(w,y)) = K(y,w).
K(x * R(x \ y,z,u),w) = K(y,w).
K(x * R(y,z,u),w) = K(x * y,w).
K(R(R(x,y,z) \ u,w,v5) * R(T(x,R(R(x,y,z) \ u,w,v5)),y,z),v6) = K(u,v6).
K(x * ((y * z) / u),w) = K(x * (y / (u / z)),w).
K(R(R(x,y,z) \ u,w,v5) * R(T(x,R(x,y,z) \ u),y,z),v6) = K(u,v6).
x != K(y * R(z,u,w),v5) | x = K(y * z,v5).
K(x,y) = K(R(R(z,u,w) \ x,v5,v6) * T(z,R(z,u,w) \ x),y).
K(R(R(x,y,z) \ u,w,v5) * T(x,R(x,y,z) \ u),v6) = K(u,v6).
K(x * R(R(x,y,z) \ u,w,v5),v6) = K(u,v6).
K(x,y) = K(z * (R(z,u,w) \ x),y).
K(x * (R(x,y,z) \ u),w) = K(u,w).
K(x * y,z) = K(R(x,u,w) * y,z).
K(R(x,y,z) * u,w) = K(x * u,w).
K(x * (y * z),u) = K((x * y) * z,u).
K((x * y) * z,u) = K(x * (y * z),u).
x != K((y * (z * u)) * (((y * z) * u) \ w),v5) | x = K(a(y,z,u) \ w,v5).
K(x * ((y * z) * (((x * y) * z) \ u)),w) = K(a(x,y,z) \ u,w).
K(((x * y) / (z * y)) * u,w) = K((x / z) * u,w).
K(x * (y \ z),u) = K((x / y) * z,u).
K((x / y) * z,u) = K(x * (y \ z),u).
x != K((y / z) * u,w) | x = K(((y * v5) / (z * v5)) * u,w).
K(x * (y \ z),u) = K(((x * w) / (y * w)) * z,u).
K(((x * y) / (z * y)) * u,w) = K(x * (z \ u),w).
x != K((y / z) * u,w) | x = K(y * (z \ u),w).
K(x * (y \ z),u) = K((x * w) * ((y * w) \ z),u).
K((x * y) * ((z * y) \ u),w) = K(x * (z \ u),w).
x != K((y * z) * u,w) | x = K(y * (z * u),w).
K(x * (y \ z),u) = K(x * (w * ((y * w) \ z)),u).
K(x * (y * ((z * y) \ u)),w) = K(x * (z \ u),w).
K(x * ((y * z) * (((u * y) * z) \ w)),v5) = K(x * (R(u,y,z) \ w),v5).
x != K(y * ((z * u) * (((y * z) * u) \ w)),v5) | x = K(a(y,z,u) \ w,v5).
K(x * (R(x,y,z) \ u),w) = K(a(x,y,z) \ u,w).
x != K(y * (R(y,z,u) \ w),v5) | x = K(w,v5).
K(a(x,y,z) \ u,w) = K(u,w).
K(x,y) = K(a(z,u,w) * x,y).
K(a(x,y,z) * u,w) = K(u,w).
x != K(1,y) | x = 1.
K(a(x,y,z) \ 1,u) = 1.
x != T(y,T(z * u,z)) | x = T(T(y,K(u,z)),z * u).
T(x,y * z) = T(T(x,K(y,z)),z * y).
T(T(x,K(y,z)),z * y) = T(x,y * z).
T(x,T(y,z)) = T(x,(z \ y) * z).
T(x,(y \ z) * y) = T(x,T(z,y)).
T(T(x,K(y,z)),T(T(z,u),u) * y) = T(x,y * T(T(z,u),u)).
K(x,T(y,T(z,u))) = K(x,T(y,z)).
K(x,T(T(y,T(z,u)),w)) = K(x,T(T(y,w),z)).
K(x,T(T(y,z),u)) = K(x,T(y,T(u,w) \ z)).
K(x,T(y,T(z,u) \ w)) = K(x,T(T(y,w),z)).
K(x,T(y,T(z,u) \ w)) = K(x,T(y,w \ z)).
K(x,T(y,z \ u)) = K(x,T(y,z * T(u,w))).
K(x,T(y,z * T(u,w))) = K(x,T(y,z \ u)).
K(x,T(y,z * T(u,w))) = K(x,T(y,u * z)).
R(x,a(y,z,u),w) * K(T(T(w,v5),v6),T(x,(v5 / (v5 / w)) * a(y,z,u))) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,a(y,z,u),w) * K(T(T(w,v5),v6),T(x,v5 / (v5 / w))) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,a(y,z,u),w) * K(T(T(w,v5),v6),T(x,T(w,v5))) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,a(y,z,u),w) * K(T(T(w,v5),v6),T(x,w)) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,a(y,z,u),w) * K(T(w,v5),T(x,v6 * w)) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,a(y,z,u),w) * K(w,T(x,v5 * (v6 * w))) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
R(x,a(y,z,u),w) * K(w,T(x,v5 * v6)) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
x * K(a(y,z,u) * T(w / (w / v5),v6),x) = R(x * K(v5,T(x,w * v6)),a(y,z,u),v5).
R(x * K(y,T(x,z * u)),a(w,v5,v6),y) = x * K(a(w,v5,v6) * T(z / (z / y),u),x).
K(a(x,y,z) \ 1,u) = K(w,a(v5,v6,v7)).
a(x,y,z / (z / u)) = a(x,y,u) * K(a(w,v5,v6) \ 1,v7).
a(x,y,z / (z / u)) \ a(x,y,u) = K(w,a(v5,v6,v7) \ 1).
K(x,a(y,z,u) \ 1) = a(w,v5,v6 / (v6 / v7)) \ a(w,v5,v7).
x / K(a(y,z,u) \ 1,w) = x * (a(v5,v6,v7 / (v7 / v8)) \ a(v5,v6,v8)).
x / K(a(y,z,u) \ 1,w) = x * K(v5,a(v6,v7,v8) \ 1).
x * y != x / K(z,a(u,w,v5)) | y = K(a(v6,v7,v8),v9).
K(x,a(y,z,u) \ 1) = K(a(w,v5,v6),v7).
K(a(x,y,z),u) = K(w,a(v5,v6,v7) \ 1).
K(x,a(y,z,u) \ 1) * a(w,v5,v6) = T(a(w,v5,v6),v7).
T(a(x,y,z),u) = K(w,a(v5,v6,v7) \ 1) * a(x,y,z).
x * K(a(y,z,u),w) = T(x,a(v5,v6,v7) \ 1).
T(x,a(y,z,u) \ 1) = x * K(a(w,v5,v6),v7).
x != y * K(z,K(u \ 1,u)) | x = y.
T(x,a(y,z,u) \ 1) = x.
x != K(y,z) | x = L(K(y,z),u,w).
K(x,L(y,z,u)) = L(K(x,y),w,v5).
L(K(x,y),z,u) = K(x,L(y,w,v5)).
T(L(K(x,y),z,u) \ w,K(x,L(y,v5,v6))) = w / L(K(x,y),z,u).
T(L(K(x,y),z,u) * w,K(y,L(x,v5,v6))) = w / L(K(y,x),z,u).
x != y / L(K(z,u),w,v5) | x = y * L(K(u,z),w,v5).
T(L(K(x,y),z,u) * w,K(y,L(x,v5,v6))) = w * L(K(x,y),z,u).
T(x * L(K(y,z),u,w),K(z,L(y,v5,v6))) = L(K(y,z),u,w) * x.
x != L(K(y,z),u,w) * (v5 * (K(z,y) * v6)) | x = v6 * T(v5,K(z,y) * v6).
T((x * (K(y,z) * u)) * L(K(z,y),w,v5),K(y,L(z,v6,v7))) = u * T(x,K(y,z) * u).
T(x * T(y,K(z,u)),K(z,L(u,w,v5))) = y * T(x,K(z,u) * y).
x * y != T(z,K(u,L(w,v5,w))) | x \ T(z,K(w,u)) = y.
x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x).
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x).
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x).
x != y \ T(z * T(y,K(u,w)),K(u,w)) | x = T(z,K(w,u) * y).
T(x,K(y,z) * u) = T(x,K(z,y) * u).
T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)).
T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u).
T(x,(y * K(z,y)) * u) = T(x,T(y,z) * u).
T(x,y * z) = T(x,T(T(y,u),u) * z).
T(x,T(T(y,z),z) * u) = T(x,y * u).
x != T(T(y,K(z,u)),T(T(u,w),w) * z) | x = T(y,z * T(T(u,w),w)).
T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)).
x != T(T(y,K(z,u)),u * z) | x = T(y,z * u).
T(x,y * T(T(z,u),u)) = T(x,y * z).
T(x,y * T(z,u)) = T(x,y * ((u * z) / u)).
T(x,y * ((z * u) / z)) = T(x,y * T(u,z)).
x / T(x,y * T(z,u)) = K(y * ((u * z) / u),x).
K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)).
K(x * ((y * z) / y),u) = K(x * T(z,y),u).
x != K(y * ((z * u) / w),v5) | x = K(y * (z / (w / u)),v5).
K(x * T(y,z),u) = K(x * (z / (z / y)),u).
K(x * (y / (y / z)),u) = K(x * T(z,y),u).
K(x * T(y * K(z,y),u),w) = K(x * T(T(y,u),z),w).
K(x * T(y / (y / z),u),w) = K(x * T(T(z,u),y),w).
R(x * K(y,T(x,z)),a(u,w,v5),y) = x * K(a(u,w,v5) * T(y,z),x).
T(x * K(a(y,z,u) * T(T(w,v5),w \ v6),x),T(T(w,v6),v5)) = R(x,a(y,z,u),T(w,v5)).
T(x * K(a(y,z,u) * T(T(w,v5),w \ v6),x),T(T(w,v6),v5)) = R(x,a(y,z,u),w).
x != R(y * K(z,T(y,u * w)),a(v5,v6,v7),z) | x = y * K(a(v5,v6,v7) * T(u / (u / z),w),y).
x * K(a(y,z,u) * T(w,v5 * v6),x) = x * K(a(y,z,u) * T(v5 / (v5 / w),v6),x).
x * K(a(y,z,u) * T(w / (w / v5),v6),x) = x * K(a(y,z,u) * T(v5,w * v6),x).
x * K(a(y,z,u) * T(T(w,v5),v6),x) = x * K(a(y,z,u) * T(w,v6 * v5),x).
T(x * K(a(y,z,u) * T(w,(w \ v5) * v6),x),T(T(w,v5),v6)) = R(x,a(y,z,u),w).
T(x * K(T(y,(y \ z) * u),x),T(T(y,z),u)) = R(x,a(w,v5,v6),y).
T(x * K(y,T(x,(y \ z) * u)),T(T(y,z),u)) = R(x,a(w,v5,v6),y).
T(x * K(y,T(x,z * (y * u))),T(T(y,z),u)) = R(x,a(w,v5,v6),y).
T(x * K(y,T(x,z * u)),T(T(y,u),z)) = R(x,a(w,v5,v6),y).
x != T(y * K(z,T(y,u * w)),T(T(z,w),u)) | x = y.
R(x,a(y,z,u),w) = x.
x / (a(y,z,u) * w) = (x / w) / a(y,z,u).
(x / y) / a(z,u,w) = x / (a(z,u,w) * y).
x * (a(y,z,u) \ 1) = x / a(y,z,u).
x != R(y / z,z,T(u,z)) | x = (y * T(u,z)) / (u * z).
x / a(y,z,u) = (x * T(w,a(y,z,u))) / (w * a(y,z,u)).
(x * T(y,a(z,u,w))) / (y * a(z,u,w)) = x / a(z,u,w).
x != R(y / z,z,y \ u) | x = u / (z * (y \ u)).
x / a(y,z,u) = w / (a(y,z,u) * (x \ w)).
x / (a(y,z,u) * (w \ x)) = w / a(y,z,u).
x * y != R(z,a(u,w,v5),v6) | z / y = x.
x / (a(y,z,u) \ 1) = x * a(y,z,u).
x * y != R(z,a(u,w,v5),v6) | x \ z = y.
x \ (x / a(y,z,u)) = a(y,z,u) \ 1.
x * (a(y,z,u) * w) = (x * a(y,z,u)) * w.
(x * a(y,z,u)) * w = x * (a(y,z,u) * w).
(x / a(y,z,u)) \ w = a(y,z,u) * (x \ w).
R(x,T(a(y,z,u),w),v5) = x.
L(x,a(y,z,u),w) = x.
(x * (a(y,z,u) * w)) / w = x * a(y,z,u).
(x * y) / (a(z,u,w) \ y) = x * a(z,u,w).
x / y = (x / (a(z,u,w) * y)) * a(z,u,w).
(x / (a(y,z,u) * w)) * a(y,z,u) = x / w.
x * y != z * (u * (u \ (z \ w))) | x \ w = y.
(x * a(y,z,u)) \ w = a(y,z,u) \ (x \ w).
x != y * (1 / y) | x = K(y,y \ 1).
x * (a(y,z,u) * (1 / (x * a(y,z,u)))) = K(x * a(y,z,u),(x * a(y,z,u)) \ 1).
(x * (a(y,z,u) * w)) * v5 != (x * a(y,z,u)) * w | 1 = v5.
1 = a(x,a(y,z,u),w).
a(x,a(y,z,u),w) = 1.
(x * (a(y,z,u) * w)) \ ((x * a(y,z,u)) * (w * v5)) = L(v5,w,x * a(y,z,u)).
((x * y) * z) * u = (x * (y * z)) * (a(x,y,z) * u).
(x * (y * z)) * (a(x,y,z) * u) = ((x * y) * z) * u.
(x * (y * z)) * u != ((x * y) * z) * L(z,y,x) | u = z.
a(x,y,z) * L(z,y,x) = z.
x / L(x,y,z) = a(z,y,x).
a(x,y,z) \ z = L(z,y,x).
x * L(y,z,u) != y | x = L(y,z,u) \ y.
a(x,y,z) = L(z,y,x) \ z.
L(x,y,z) \ x = a(z,y,x).
a(x,y,z) * u != w | u = w / a(x,y,z).
L(x,y,z) = x / a(z,y,x).
x / a(y,z,x) = L(x,z,y).
x != a(y,z,u) * w | x = w * a(y,z,u).
x = L(x,y,z) * a(z,y,x).
L(x,y,z) * a(z,y,x) = x.
(x * y) / (L(x,z,u) * y) = R(a(u,z,x),L(x,z,u),y).
R(a(x,y,z),L(z,y,x),u) = (z * u) / (L(z,y,x) * u).
(x * L(y,z,u)) \ (x * y) = L(a(u,z,y),L(y,z,u),x).
L(a(x,y,z),L(z,y,x),u) = (u * L(z,y,x)) \ (u * z).
x * y = L(x,z,u) * (a(u,z,x) * y).
L(x,y,z) * (a(z,y,x) * u) = x * u.
(a(x,y,z) \ u) \ w = a(x,y,z) * (u \ w).
R(a(x,y,R(z,u,w)),L(R(z,u,w),y,x),u * w) = ((z * u) * w) / (L(R(z,u,w),y,x) * (u * w)).
x / (a(y,z,u) \ w) = (x / w) * a(y,z,u).
(x * y) / L(y,z,z \ 1) = x * a(1 / z,z,y).
((x / y) * a(z,u,w)) \ x = a(z,u,w) \ y.
x != ((1 / y) * z) / L(z,y,y \ 1) | x = R(1 / y,y,z).
(1 / x) * a(1 / x,x,y) = R(1 / x,x,y).
(1 / (x / y)) * z != R(1 / (x / y),x / y,y) | z = (y / x) * (x / y).
a(1 / (x / y),x / y,y) = (y / x) * (x / y).
a(1 / x,x,y) = (y / (x * y)) * x.
(x / (y * x)) * y = a(1 / y,y,x).
(x / y) * (y / x) = a((y / x) \ 1,y / x,x).
a((x / y) \ 1,x / y,y) = (y / x) * (x / y).
T(x,(y / z) * (z / y)) != u | u = x.
R(x,(y / z) * (z / y),u) = x.
L(x,y / L(y,z,u),w) = x.
L(x,(y / z) * (z / y),u) = x.
x * y = a(z,u,x) * (L(x,u,z) * y).
a(x,y,z) * (L(z,y,x) * u) = z * u.
L(x,y,z) * u = x * (a(z,y,x) \ u).
x * (a(y,z,x) \ u) = L(x,z,y) * u.
x * y != (z \ u) * T(z,z \ u) | x \ u = y.
L(x \ y,z,u) \ y = a(u,z,x \ y) * T(x,x \ y).
a(x,y,z \ u) * T(z,z \ u) = L(z \ u,y,x) \ u.
L(x / y,z,u) \ x = a(u,z,x / y) * y.
L(x,y,z) \ u = a(z,y,x) * (x \ u).
a(x,y,z) * (z \ u) = L(z,y,x) \ u.
x \ y = a(z,u,x) \ (L(x,u,z) \ y).
a(x,y,z) \ (L(z,y,x) \ u) = z \ u.
x * (a(y,z,x) \ u) != w | L(x,z,y) * u = w.
(x * y) / (L(x,z,u) * y) = a(u,z,x).
a(x,y,z) \ (z * u) = L(z,y,x) * u.
a(x,y,z) \ u = L(z,y,x) * (z \ u).
L(x,y,z) * (x \ u) = a(z,y,x) \ u.
x \ y = L(x,z,u) \ (a(u,z,x) \ y).
L(x,y,z) \ (a(z,y,x) \ u) = x \ u.
((x * y) * z) / ((L(x,u,w) * y) * z) = R(a(w,u,x),L(x,u,w) * y,z).
R(a(x,y,z),L(z,y,x) * u,w) = ((z * u) * w) / ((L(z,y,x) * u) * w).
a(x,y,y \ 1) * (((x * y) \ x) * z) = (y \ 1) * z.
(x * (y * z)) / (L(y,u,w) * z) = x * a(w,u,y).
a(x,y,z) * (z * u) = z * (a(x,y,z) * u).
x != (y * (z * (y * u))) / (L(z,u,y) * (y * u)) | x = R(y,u,T(z,y * u)).
x * a(x,y,z) = R(x,y,T(z,x * y)).
R(x,y,T(z,x * y)) = x * a(x,y,z).
R(x,y,z) = x * a(x,y,z).
x * a(x,y,z) = R(x,y,z).
x != R(y,z,T(u,w)) | x = R(y,z,T(u,v5)).
x * a(x,y,z) = R(x,y,T(z,u)).
R(x,y,T(z,u)) = x * a(x,y,z).
x * y != R(z,u,T(w,v5)) | x \ R(z,u,w) = y.
x \ R(x,y,z) = a(x,y,z).
x * y != R(x,z,T(u,w)) | y = T(x \ R(x,z,u),v5).
a(x,y,z) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),u) = a(x,y,z).
x * a(y,z,u) = (y \ R(y,z,u)) * x.
(x \ R(x,y,z)) * u = u * a(x,y,z).
T(((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x),v5) = a((x * (y / z)) \ (x * y),u,w).
R(x,y,z) / x = a(x,y,z).
x != a(y,z,u) | x = a(y,z,u * K(w,v5)).
x \ R(x,y,z) = a(x,y,z * K(u,w)).
a(x,y,z * K(u,w)) = x \ R(x,y,z).
x != a(T(y,z),u,w) | x = a(y,u,w).
T(x,y) \ R(T(x,y),z,u) = a(x,z,u).
a(x,y,z) * x = R(x,y,z).
(x / (y * x)) / (1 / y) = a(1 / y,y,x).
L(x,y,z) \ u = (x \ u) * a(z,y,x).
(x \ y) * a(z,u,x) = L(x,u,z) \ y.
((L(x,y,z) \ u) * w) / ((x \ u) * w) = R(a(z,y,x),x \ u,w).
(a(x,y,z) \ 1) \ u = a(x,y,z) * u.
R(a(1 / x,x,y),1 / x,z) = ((y / (x * y)) * z) / ((1 / x) * z).
x * a(y,a(z,u,w),v5) = x.
x * a(a(y,z,u),w,v5) != (a(y,z,u) * v5) * w | x = a(y,z,u) * (v5 * w).
(a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)).
L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z).
x / L(y,z,u) = (x / y) * a(u,z,y).
(x / y) * a(z,u,y) = x / L(y,u,z).
(x / K(a(y,z,u) \ 1,w)) * a(y,z,u) = x / T(a(y,z,u) \ 1,w).
L(a(x,y,L(z,u,w)),L(L(z,u,w),y,x),w * u) = ((w * u) * L(L(z,u,w),y,x)) \ (w * (u * z)).
L(a(x,y,L(z,u,w)),L(L(z,u,w),y,x),w * u) = (w * (u * L(z,y,x))) \ (w * (u * z)).
x != L(y \ (z \ u),y,z) | x = (z * y) \ u.
((x / y) * (y / x)) \ (z \ u) = (z * ((x / y) * (y / x))) \ u.
(x * ((y / z) * (z / y))) \ u = ((y / z) * (z / y)) \ (x \ u).
x / (((y / z) * (z / y)) \ u) = (x / u) * ((y / z) * (z / y)).
(x / y) * z = (1 / (y / x)) * (((x / y) * (y / x)) * z).
(1 / (x / y)) * (((y / x) * (x / y)) * z) = (y / x) * z.
(1 / (x / y)) \ ((y / x) * z) = ((y / x) * (x / y)) * z.
(x / y) \ z = ((y / x) * (x / y)) \ (((y / x) \ 1) \ z).
((x / y) * (y / x)) \ (((x / y) \ 1) \ z) = (y / x) \ z.
x \ R(T(x * K(y,x),y),z,u) = a(x * K(y,x),z,u).
x \ R(x,y,z) = a(x * K(u,x),y,z).
a(x * K(y,x),z,u) = x \ R(x,z,u).
x != L(y \ 1,y,z) \ u | x = ((z * y) \ z) \ u.
a(x,y,y \ 1) = ((x * y) \ x) \ (y \ 1).
((x * y) \ x) \ (y \ 1) = a(x,y,y \ 1).
L((x * y) \ x,z,u) \ L(y \ 1,z,u) = a(x,y,L(y \ 1,z,u)).
x != a(y,z,u * w) * v5 | x = v5 * a(y,z,w * u).
R(x,y,z * u) = x * a(x,y,u * z).
x * a(x,y,z * u) = R(x,y,u * z).
R(x,y,z) / x != u | u = a(x,y,z).
R(x,y,z) / x != u | a(x,y,z) = u.
x * y != z \ (z * u) | x \ u = y.
a(x,y,z) \ u = (a(x,y,z) \ 1) * u.
(a(x,y,z) \ 1) * u = a(x,y,z) \ u.
x / (a(y,z,u) * x) = a(y,z,u) \ 1.
x * y != a(z,u,w) \ (v5 * a(z,u,w)) | v5 / y = x.
x / (x * a(y,z,u)) = a(y,z,u) \ 1.
x / (((y / z) * (z / y)) * u) = (x / u) / ((y / z) * (z / y)).
(x / y) / ((z / u) * (u / z)) = x / (((z / u) * (u / z)) * y).
x != y / ((z / u) * (u / z)) | x = ((z / u) * (u / z)) \ y.
x / (((y / z) * (z / y)) * u) = ((y / z) * (z / y)) \ (x / u).
a(((x / y) * (y / x)) \ (z / u),w,T(v5,v6)) = a((((x / y) * (y / x)) * u) \ z,w,v5).
a(((x / y) * (y / x)) \ (z / u),w,T(v5,v6)) = a((u * ((x / y) * (y / x))) \ z,w,v5).
a(((x / y) * (y / x)) \ (z / u),w,T(v5,v6)) = a(((x / y) * (y / x)) \ (u \ z),w,v5).
x != a(((y / z) * (z / y)) \ (u / w),v5,T(v6,v7)) | x = a((((y / z) * (z / y)) * w) \ u,v5,v6).
a(((x / y) * (y / x)) \ (z \ u),w,v5) = a((((x / y) * (y / x)) * z) \ u,w,v5).
a((((x / y) * (y / x)) * z) \ u,w,v5) = a(((x / y) * (y / x)) \ (z \ u),w,v5).
x != R(y / z,z,z \ u) | x = (y * (z \ u)) / u.
x / T(a(y,z,u),w) = (x * (T(a(y,z,u),w) \ v5)) / v5.
(x * (T(a(y,z,u),w) \ v5)) / v5 = x / T(a(y,z,u),w).
(x / T(a(y,z,u),w)) * v5 = x * (T(a(y,z,u),w) \ v5).
(a(x,y,z) \ u) * w = u * (T(a(x,y,z),v5) \ w).
x * (T(a(y,z,u),w) \ v5) = (a(y,z,u) \ x) * v5.
x * (a(y,z,u) \ w) = (a(y,z,u) \ x) * w.
(a(x,y,z) \ u) * w = u * (a(x,y,z) \ w).
(x / a(y,z,u)) * w = x * (a(y,z,u) \ w).
(x / a(y,z,u)) * u = x * L(u,z,y).
(x * (a(y,z,u) \ 1)) * w = x * (a(y,z,u) \ w).
(x / (a(y,z,u) * w)) * v5 = (x / w) * (a(y,z,u) \ v5).
x * y != (z * u) * L(u \ 1,u,z) | z / y = x.
x / (y \ 1) = (x * y) / a(x,y,y \ 1).
(x * y) / a(x,y,y \ 1) = x / (y \ 1).
x * y != (1 / z) * L(z,u,w) | (L(z,u,w) / z) / y = x.
(L(x,y,z) / x) / x = (1 / x) / a(z,y,x).
x * y != (z * y) * L(y,u,w) | x = z * L(y,u,w).
(x * y) / a(z,u,y) = x * L(y,u,z).
a(x,y,y \ 1) * (x / (y \ 1)) = x * y.
(x * y) / (x / (y \ 1)) = a(x,y,y \ 1).
(x / (y \ 1)) \ z = a(x,y,y \ 1) * ((x * y) \ z).
a(x,y,y \ 1) * ((x * y) \ z) = (x / (y \ 1)) \ z.
(x * (a(y,z,u) \ 1)) * w = x * ((a(y,z,u) \ 1) * w).
R(x,a(y,z,u) \ 1,w) = x.
x * y != (z * u) / a(w,v5,u) | x \ (z * L(u,v5,w)) = y.
(x * y) \ (x * L(y,z,u)) = a(u,z,y) \ 1.
(x * L(y,z,u)) * a(u,z,y) = x * y.
(x * L(y,z,u)) \ (x * y) = a(u,z,y).
(x * L(y,z,u)) \ w = a(u,z,y) * ((x * y) \ w).
a(x,y,z) * ((u * z) \ w) = (u * L(z,y,x)) \ w.
(x * L(y,z,u)) * w = (x * y) * (a(u,z,y) \ w).
(x * y) * (a(z,u,y) \ w) = (x * L(y,u,z)) * w.
x != (y * L(z,u,w)) \ (y * z) | x = L(a(w,u,z),L(z,u,w),y).
a(x,y,z) = L(a(x,y,z),L(z,y,x),u).
L(a(x,y,z),L(z,y,x),u) = a(x,y,z).
L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)).
x != L(a(y,z,L(u,w,v5)),L(L(u,w,v5),z,y),v5 * w) | x = (v5 * (w * L(u,z,y))) \ (v5 * (w * u)).
a(x,y,L(z,u,w)) = (w * (u * L(z,y,x))) \ (w * (u * z)).
(x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)).
x != (y * (z * L(u,w,v5))) \ (y * (z * u)) | x = L(a(v5,w,u),z * L(u,w,v5),y).
a(x,y,L(z,u,w)) = L(a(x,y,z),u * L(z,y,x),w).
L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)).
(x * (y * (z * u))) \ (x * ((y * z) * u)) = a(y,z,L(u,y * z,x)).
x != L(a(y,z,u),w,a(v5,v6,v7)) | x = a(y,z,u).
a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z).
L(a(x,y,z),u,w) = a(x,y,L(z,u / L(z,y,x),w)).
a(x,y,L(z,u / L(z,y,x),w)) = L(a(x,y,z),u,w).
a(x,y,z) = L(a(x,y,z),z,u).
L(a(x,y,z),z,u) = a(x,y,z).
(x * y) * a(z,u,y) = x * (y * a(z,u,y)).
R(x,y,a(z,u,y)) = x.
R(x,y,z) * u = x * (a(x,y,z) * u).
x * (a(x,y,z) * u) = R(x,y,z) * u.
R(x,y,z) \ (x * u) = a(x,y,z) \ u.
x * y != R(x,z,u) * w | y = R(x,z,u) * (x \ w).
a(x,y,z) * u = R(x,y,z) * (x \ u).
R(x,y,z) * (x \ u) = a(x,y,z) * u.
x * y != R(x,z,u) * (x * w) | y = R(x,z,u) * w.
a(x,y,z) * (x * u) = R(x,y,z) * u.
R(x,y,z) \ x = a(x,y,z) \ 1.
x * (y * a(x,z,u)) = R(x,z,u) * y.
x != R(y,z,u) * (z * u) | x = (y * z) * u.
x * ((y * z) * a(x,y,z)) = (x * y) * z.
x * a(y,z,u) = R(y,z,u) * (y \ x).
R(x,y,z) * (x \ u) = u * a(x,y,z).
x != y * a(z,u,w) | x = (z \ R(z,u,w)) * y.
R(x,y,z) * (x \ u) = (x \ R(x,y,z)) * u.
(x \ R(x,y,z)) * u = R(x,y,z) * (x \ u).
(x * a(y,z,u)) / (y \ x) = R(y,z,u).
x * y != z * a(u,w,v5) | (R(u,w,v5) * (u \ z)) / y = x.
(R(x,y,z) * (x \ u)) / u = x \ R(x,y,z).
T(x,y * a(z,u,w)) = T(x,y).
R(T((x * y) / x,x),x,a(z,u,w)) = L(y,x,a(z,u,w)).
R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)).
x * (a(x,y,a(z,u,w)) * v5) = L(x,y,a(z,u,w)) * v5.
x * (y * (z * a(x,y,z))) = (x * y) * z.
x * y != (z * (z \ u)) * w | x \ (u * w) = y.
x \ (y * z) = (x \ y) * (z * a(x,x \ y,z)).
(x \ y) * (z * a(x,x \ y,z)) = x \ (y * z).
(x / y) \ (x * z) = y * (z * a(x / y,y,z)).
(x / y) \ (x * z) = y * (z * a(y \ x,y,z)).
x * ((x \ (x / y)) * R((x \ (x / y)) \ z,u,w)) = (x / y) * R(y * (z * a(y \ x,y,z)),u,w).
(x / y) * R(y * (z * a(y \ x,y,z)),u,w) = x * ((x \ (x / y)) * R((x \ (x / y)) \ z,u,w)).
((x / y) * R(y * (z * a(y \ x,y,z)),u,w)) / z = ((x / y) / z) * R(((x / y) / z) \ x,u,w).
(R(x,y,z) * u) / (x * u) = x \ R(x,y,z).
(x \ R(x,y,z)) \ u = x * (R(x,y,z) \ u).
x != y * (R(y,z,u) \ 1) | x = R(y,z,u) \ y.
(x \ R(x,y,z)) \ 1 = R(x,y,z) \ x.
x != (y \ R(y,z,u)) \ w | x = w / (y \ R(y,z,u)).
x * (R(x,y,z) \ u) = u / (x \ R(x,y,z)).
x / (y \ R(y,z,u)) = y * (R(y,z,u) \ x).
a(x * K(y,x),z,u) \ 1 = R(x,z,u) \ x.
T(x,R(y,z,u) \ y) = x.
R(x,R(y,z,u) \ y,w) = x.
R(x,y,z) \ (x * u) = (R(x,y,z) \ x) * u.
x != y * (R(y,z,u) \ w) | x = (w / R(y,z,u)) * y.
x / (y \ R(y,z,u)) = (x / R(y,z,u)) * y.
x / y = (x * (y \ R(y,z,u))) / R(y,z,u).
(x * (y \ R(y,z,u))) / R(y,z,u) = x / y.
(x / y) * R(y,z,u) = x * (y \ R(y,z,u)).
x * y != (z / (u \ z)) * w | x \ (u * w) = y.
x \ (y * R(y \ x,z,u)) = (y \ x) \ R(y \ x,z,u).
(x \ y) \ R(x \ y,z,u) = y \ (x * R(x \ y,z,u)).
x * R(y,z,u) = (x * y) * (y \ R(y,z,u)).
(x * y) * (y \ R(y,z,u)) = x * R(y,z,u).
x != y \ R(y,z,u) | x = a(y,z,u).
x \ (y * R(y \ x,z,u)) = a(y \ x,z,u).
T((x * y) \ ((x * (y / z)) * R((x * (y / z)) \ (x * y),u,w)),v5) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
(R(x,y,z) * (x \ u)) / ((x \ 1) * u) = R(R(x,y,z),x \ 1,u).
T((x * y) \ (x * ((y / z) * R((y / z) \ (x \ (x * y)),u,w))),v5) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R((y / z) \ y,u,w))),v5) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R(z,u,w))),v5) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * (y * (z \ R(z,u,w)))),v5) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T(L(x \ R(x,y,z),u,w),v5) = ((w * (u / x)) \ (w * u)) \ L(R(x,y,z),u / x,w).
((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x) = L(z \ R(z,u,w),y,x).
T(L(x \ R(x,y,z),u,w),v5) = a((w * (u / x)) \ (w * u),y,z).
a((x * (y / z)) \ (x * y),u,w) = L(T(z \ R(z,u,w),v5),y,x).
L(T(x \ R(x,y,z),u),w,v5) = a((v5 * (w / x)) \ (v5 * w),y,z).
L(a(x,y,z),u,w) = a((w * (u / x)) \ (w * u),y,z).
a((x * (y / z)) \ (x * y),u,w) = L(a(z,u,w),y,x).
a(((x / y) * (y / z)) \ x,u,w) = L(a(z,u,w),y,x / y).
x != a(y / z,z,z \ u) | x = ((y / z) * u) \ (y * (z \ u)).
((x \ y) / (x * (x \ y))) * x = ((1 / x) * y) \ (1 * (x \ y)).
((1 / x) * y) \ (1 * (x \ y)) = ((x \ y) / (x * (x \ y))) * x.
((x \ y) / y) * x = a(1 / x,x,x \ y).
a(1 / x,x,x \ y) = ((x \ y) / y) * x.
((x \ y) / y) * x = a(x \ 1,x,x \ y).
a(x \ 1,x,x \ y) = ((x \ y) / y) * x.
((1 / x) * y) \ (x \ y) = ((x \ y) / (x * (x \ y))) * x.
((x \ y) / (x * (x \ y))) * x = ((1 / x) * y) \ (x \ y).
((x \ y) / y) * x = ((1 / x) * y) \ (x \ y).
((1 / x) * y) \ (x \ y) = ((x \ y) / y) * x.
R(x / ((1 / y) * z),(1 / y) * z,((y \ z) / z) * y) = (x * (((1 / y) * z) \ (y \ z))) / (y \ z).
x != ((y * z) \ y) \ (z \ 1) | x = a(y,z,z \ 1).
L((x * y) \ x,z,u) \ (a(u,z,(x * y) \ x) \ (y \ 1)) = a(x,y,y \ 1).
x * y != L(z,u,w) \ (a(w,u,z) \ v5) | x \ (z \ v5) = y.
a(x,y,z) \ (z \ u) = z \ (a(x,y,z) \ u).
(x / y) / (z \ R(z,u,w)) = x / (a(z,u,w * K(v5,v6)) * y).
(x / y) * z != L(x / y,u,w) * x | z = y * L(y \ x,u,w).
a(x,y,z / u) \ z = u * L(u \ z,y,x).
(x * (L(y,z,u) * w)) \ ((x * y) * (a(u,z,y) \ w)) = a(x,y,a(u,z,y) \ w).
x != R(y,z,u) | x = y * a(y,z,u).
(x * a(y,z,u)) / (y \ x) = y * a(y,z,u).
(a(x,y,z) * u) / (x \ u) = x * a(x,y,z).
(x * a(x,y,z)) * (x \ u) = a(x,y,z) * u.
x != (y * a(z,u,w)) * v5 | x = y * (a(z,u,w) * v5).
a(x,y,z) * u = x * (a(x,y,z) * (x \ u)).
x * (a(x,y,z) * (x \ u)) = a(x,y,z) * u.
x * y != (z * a(z,u,w)) * (z \ v5) | x \ (a(z,u,w) * v5) = y.
x \ (a(x,y,z) * u) = a(x,y,z) * (x \ u).
(a(x,y,z) * u) / u = R(a(x,y,z),x,x \ u).
R(a(x,y,z),x,x \ u) = (a(x,y,z) * u) / u.
R(a(x,y,z),x,x \ u) = a(x,y,z).
R(a(x,y,z),x,u) = a(x,y,z).
x != R(a(1 / y,y,z),1 / y,u) | x = ((z / (y * z)) * u) / ((1 / y) * u).
a(1 / x,x,y) = ((y / (x * y)) * z) / ((1 / x) * z).
((x / (y * x)) * z) / ((1 / y) * z) = a(1 / y,y,x).
R(x \ R(x,y,z),x,u) = a(x,y,z * K(w,v5)).
a(1 / x,x,y) \ ((y / (x * y)) * z) = (1 / x) * z.
a(x \ 1,x,y) \ ((y / (x * y)) * z) = (1 / x) * z.
a((x / y) \ 1,x / y,y) \ ((y / x) * z) = (1 / (x / y)) * z.
((x / y) * (y / x)) \ ((x / y) * z) = (1 / (y / x)) * z.
((x / y) * ((1 / (x / y)) * z)) / (x / y) = L(z / (x / y),x / y,y / x).
((x / y) * ((y / x) * z)) / (x / y) = L((((y / x) * (x / y)) * z) / (x / y),x / y,y / x).
L((((x / y) * (y / x)) * z) / (y / x),y / x,x / y) = ((y / x) * ((x / y) * z)) / (y / x).
x != L(y,z / u,w / v5) | x = L(y,u \ z,v5 \ w).
((x / y) * ((y / x) * z)) / (x / y) = L((((y / x) * (x / y)) * z) / (x / y),y \ x,x \ y).
L((((x / y) * (y / x)) * z) / (y / x),x \ y,y \ x) = ((y / x) * ((x / y) * z)) / (y / x).
x != a(y,z,u * K(w,v5)) | x = y \ R(y,z,u).
R(x \ R(x,y,z),x,u) = x \ R(x,y,z).
x != R(R(y,z,u) \ R(R(y,z,u),w,v5),R(y,z,u),z * u) | x = ((R(y,w,v5) * z) * u) / ((y * z) * u).
R(x,y,z) \ R(R(x,y,z),u,w) = ((R(x,u,w) * y) * z) / ((x * y) * z).
((R(x,y,z) * u) * w) / ((x * u) * w) = R(x,u,w) \ R(R(x,u,w),y,z).
x / (x * a(y,z,u)) = a(y,z,w * (u / w)) \ 1.
a(x,y,z * (u / z)) \ 1 = w / (w * a(x,y,u)).
x * (y / (y * a(z,u,w))) = x / a(z,u,v5 * (w / v5)).
x / a(y,z,u * (w / u)) = x * (v5 / (v5 * a(y,z,w))).
x * (y \ (y / a(z,u,w))) = x / a(z,u,w).
(x \ (x / a(y,z,u))) \ w = a(y,z,u) * w.
(x \ L(x,y,z)) \ u = a(z,y,x) * u.
a(x,y,z) \ u = (z \ L(z,y,x)) * u.
(x \ L(x,y,z)) * u = a(z,y,x) \ u.
(x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z.
x != (y * ((z * y) \ z)) \ (((z * y) \ z) * (((y \ 1) \ 1) * u)) | x = L(u,T(y,(z * y) \ z),(z * y) \ z).
a(x,y,y \ 1) * (((x * y) \ x) * (((y \ 1) \ 1) * z)) = L(z,T(y,(x * y) \ x),(x * y) \ x).
L(x,T(y,(z * y) \ z),(z * y) \ z) = a(z,y,y \ 1) * (((z * y) \ z) * (((y \ 1) \ 1) * x)).
a(x,y,y \ 1) \ z = (y * ((x * y) \ x)) * z.
(x * ((y * x) \ y)) * z = a(y,x,x \ 1) \ z.
((x / y) * (y / x)) * ((y / x) \ z) = ((x / y) \ 1) \ z.
((x / y) * (y / x)) * x = ((x / y) \ 1) \ y.
(x * (y / (x * y))) * (x * y) = (((x * y) / y) \ 1) \ y.
(x * (y / (x * y))) * (x * y) = (x \ 1) \ y.
x * y != (z * u) * (u \ y) | x = R(z,u,u \ y).
x = R(x,y,y \ R(y,z,u)).
R(x,y,y \ R(y,z,u)) = x.
R(x,y,a(y,z,u)) = x.
x / (y * a(y,z,u)) = (x / a(y,z,u)) / y.
(x / a(y,z,u)) / y = x / (y * a(y,z,u)).
(x * (y / (y * a(z,u,w)))) / z = x / (z * a(z,u,v5 * (w / v5))).
(x / y) * z = (x / L(y,u,w)) * (a(w,u,y) \ z).
(x / L(y,z,u)) * (a(u,z,y) \ w) = (x / y) * w.
(x / L(y,z,u)) \ w = a(u,z,y) \ ((x / y) \ w).
a(x,y,z) \ ((u / z) \ w) = (u / L(z,y,x)) \ w.
x * y != z * (u \ u) | x \ z = y.
(x / y) \ (x / L(y,z,u)) = a(u,z,y).
x \ (y / L(x \ y,z,u)) = a(u,z,x \ y).
x \ (1 / (y \ (y / x))) = a(x \ y,x,x \ 1).
a(x \ y,x,x \ 1) = x \ (1 / (y \ (y / x))).
(x * a(x \ y,x,x \ 1)) \ z = (1 / (y \ (y / x))) \ z.
(1 / (x \ (x / y))) \ z = (y * a(y \ x,y,y \ 1)) \ z.
((1 / (x \ (x / y))) * R(z,y,y \ (1 / (x \ (x / y))))) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
x != y * a(y,z,u * w) | x = R(y,z,w * u).
R(x,y,T(z * u,w)) = R(x,y,u * z).
x != R(y,z,a(u,w,v5)) | x = L(y,z,a(u,w,v5)).
x = L(x,y,a(z,u,y)).
L(x,y,a(z,u,y)) = x.
x != (y * (y \ 1)) \ z | x = z.
a(x,y,z \ 1) \ 1 = z * L(z \ 1,y,x).
x * (y * L(y \ 1,z,u)) = x / a(u,z,y \ 1).
(x * L(x \ 1,y,z)) * u = a(z,y,x \ 1) \ u.
x != (y * L(y \ 1,z,u)) * (y \ w) | x = w * L(w \ (y \ w),z,u).
a(x,y,z \ 1) \ (z \ u) = u * L(u \ (z \ u),y,x).
x * y != (z * L(z \ 1,u,w)) * v5 | x \ (a(w,u,z \ 1) \ v5) = y.
x \ (a(y,z,x \ 1) \ u) = u * L(u \ (x \ u),z,y).
(a(x,y,z \ 1) \ u) * L(w,u,z * L(z \ 1,y,x)) = (z * L(z \ 1,y,x)) * (u * w).
a(x,y,z) \ ((1 / z) \ u) = u * L(u \ ((1 / z) \ u),y,x).
x != y * L(y \ (z \ y),u,w) | x = a(w,u,z \ 1) \ (z \ y).
x \ (a(y,z,x \ 1) \ u) = a(y,z,x \ 1) \ (x \ u).
a(x,y,z \ 1) \ (z \ u) = z \ (a(x,y,z \ 1) \ u).
x != a(y,z,u) \ (w \ v5) | x = (w * a(y,z,u)) \ v5.
x \ (a(y,z,x \ 1) \ u) = (x * a(y,z,x \ 1)) \ u.
(x * a(y,z,x \ 1)) \ u = x \ (a(y,z,x \ 1) \ u).
x != (y * a(y \ z,y,y \ 1)) \ u | x = (1 / (z \ (z / y))) \ u.
x \ (a(x \ y,x,x \ 1) \ z) = (1 / (y \ (y / x))) \ z.
(1 / (x \ (x / y))) \ z = y \ (a(y \ x,y,y \ 1) \ z).
x != (1 / y) \ R((1 / y) * z,u,w) | x = y * R(y \ z,u,w).
x \ (a(x \ y,x,x \ 1) \ R((1 / (y \ (y / x))) * z,u,w)) = (y \ (y / x)) * R((y \ (y / x)) \ z,u,w).
x * (y * ((z * y) \ z)) = x / a(z,y,y \ 1).
R(x,y,T(z * (u / z),w)) = R(x,y,u).
x * y != R(z,u,T(w * (v5 / w),v6)) | R(z,u,v5) / y = x.
R(x,y,z) / a(x,y,u * (z / u)) = x.
x != y / a(z,u,w * (v5 / w)) | x = y * (v6 / (v6 * a(z,u,v5))).
x = R(x,y,z) * (u / (u * a(x,y,z))).
R(x,y,z) * (u / (u * a(x,y,z))) = x.
x / (y * L(y \ x,z,u)) = a(u,z,x / y).
x / (y * (z * L(z \ (y \ x),u,w))) = a(w,u,x / (y * z)).
x / (x * (y * L(y \ 1,z,u))) = a(u,z,x / (x * y)).
x / (x / a(y,z,u \ 1)) = a(y,z,x / (x * u)).
x != y / (y / a(z,u,w)) | x = a(z,u,w).
a(x,y,z / (z * u)) = a(x,y,u \ 1).
x != a(y,z,u / w) | x = a(y,z,w \ u).
a(x,y,z \ 1) = a(x,y,(u * z) \ u).
a(x,y,(z * u) \ z) = a(x,y,u \ 1).
L((x * y) \ x,z,u) \ (a(u,z,y \ 1) \ (y \ 1)) = a(x,y,y \ 1).
L((x * y) \ x,z,u) \ L(y \ 1,z,u) = a(x,y,y \ 1).
x != L((y * z) \ y,u,w) \ L(z \ 1,u,w) | x = a(y,z,L(z \ 1,u,w)).
a(x,y,y \ 1) = a(x,y,L(y \ 1,z,u)).
a(x,y,L(y \ 1,z,u)) = a(x,y,y \ 1).
x != a(y,z,L(u,w / L(u,z,y),v5)) | x = L(a(y,z,u),w,v5).
a(x,y,y \ 1) = L(a(x,y,y \ 1),z,u).
L(a(x,y,y \ 1),z,u) = a(x,y,y \ 1).
L(a(x,y,y \ 1),z,u) * w != a(x,y,y \ 1) | 1 = w.
1 = a(x,y,a(z,u,u \ 1)).
a(x,y,a(z,u,u \ 1)) = 1.
(x * y) * a(z,u,u \ 1) = x * (y * a(z,u,u \ 1)).
(x * y) / a(z,u,u \ 1) = x * (y / a(z,u,u \ 1)).
R(x,y,a(z,u,u \ 1)) = x.
x = L(x,y,a(z,u,u \ 1)).
L(x,y,a(z,u,u \ 1)) = x.
(a(x,y,y \ 1) * z) * u = a(x,y,y \ 1) * (z * u).
((a(x,y,y \ 1) * z) * (u * w)) \ ((a(x,y,y \ 1) * (z * u)) * w) = a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w).
a(x,y,y \ 1) \ (z * u) = (a(x,y,y \ 1) \ z) * u.
(a(x,y,y \ 1) * (z * (u * w))) \ ((a(x,y,y \ 1) * (z * u)) * w) = a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w).
(a(x,y,y \ 1) * (z * (u * w))) \ (a(x,y,y \ 1) * ((z * u) * w)) = a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w).
x != (y * (z * (u * w))) \ (y * ((z * u) * w)) | x = a(z,u,L(w,z * u,y)).
a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w) = a(z,u,L(w,z * u,a(x,y,y \ 1))).
x != a(y,z,L(u,w,a(v5,v6,v7))) | x = a(y,z,u).
a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w) = a(z,u,w).
a(a(x,y,y \ 1) * z,u,w) = a(z,u,w).
a((x / (y \ 1)) \ z,u,w) = a((x * y) \ z,u,w).
a(x * y,z,u) = a(x / (y \ 1),z,u).
a(x / (y \ 1),z,u) = a(x * y,z,u).
x != y / a(z,u,w) | x = a(z,u,w) \ y.
x * (y / a(z,u,u \ 1)) = a(z,u,u \ 1) \ (x * y).
a(x,y,y \ 1) \ (z * u) = z * (u / a(x,y,y \ 1)).
a(x,y,y \ 1) \ (z * u) = z * (a(x,y,y \ 1) \ u).
a(x / y,z,u) = a(x * (1 / y),z,u).
a(x * (1 / y),z,u) = a(x / y,z,u).
x != y \ (z * (z \ (y * u))) | x = u.
a(x,y,z) * (x \ (a(x,y,z) \ (x * u))) = u.
K(x,R(y,z,u) \ y) = 1.
T(x,y * (z \ (z / y))) = x.
T(x,y * (z \ (z / y))) = T(x,a(u,w,v5)).
T(x,a(y,z,u)) = T(x,w * (v5 \ (v5 / w))).
x != 1 | x = K(y \ R(y,z,u),w).
K(x,R(y,z,u) \ y) = K(w \ R(w,v5,v6),v7).
K(x \ R(x,y,z),u) = K(w,R(v5,v6,v7) \ v5).
x * K(y \ R(y,z,u),w) = T(x,R(v5,v6,v7) \ v5).
T(x,R(y,z,u) \ y) = x * K(w \ R(w,v5,v6),v7).
a(x,y,a(z,u \ 1,u)) = 1.
L(a(x,y \ 1,y),z,u) = a(x,y \ 1,y).
(x * y) / a(z,u \ 1,u) = x * (y / a(z,u \ 1,u)).
x * y != R(z,u,w) \ (z * v5) | (z * (R(z,u,w) \ v5)) / y = x.
(x * (R(x,y,z) \ u)) / u = R(x,y,z) \ x.
x * y != R(z,u,w) \ (z * (R(z,u,w) * v5)) | (z * v5) / y = x.
(x * y) / (R(x,z,u) * y) = R(x,z,u) \ x.
((x * y) * z) / (R(R(x,y,z),u,w) * (y * z)) = R(R(x,y,z),u,w) \ R(x,y,z).
(R(x,y,z) \ x) \ u = R(x,y,z) * (x \ u).
T(x,(R(y,z,u) \ y) \ w) = T(x,w).
((R(x,y,z) \ x) \ u) \ u = T(R(x,y,z) \ x,u).
(R(x,y,z) * (x \ u)) \ u = T(R(x,y,z) \ x,u).
x / T(R(y,z,u) \ y,x) = R(y,z,u) * (y \ x).
(R(x,y,z) * (x \ u)) * (R(x,y,z) \ x) = T(u,R(x,y,z) \ x).
x != T(y,R(z,u,w) \ z) | x = y * K(v5 \ R(v5,v6,v7),v8).
(R(x,y,z) * (x \ u)) * (R(x,y,z) \ x) = u * K(w \ R(w,v5,v6),v7).
((x \ R(x,y,z)) * u) * (R(x,y,z) \ x) = u * K(w \ R(w,v5,v6),v7).
x * y != (z * y) * K(u,K(w \ 1,w)) | x = z.
(x \ R(x,y,z)) * (u * (R(x,y,z) \ x)) = u.
(x \ R(x,y,z)) * u != w | u = w / (x \ R(x,y,z)).
x * (R(y,z,u) \ y) = x / (y \ R(y,z,u)).
x / (y \ R(y,z,u)) = x * (R(y,z,u) \ y).
x / (R(y,z,u) \ y) = x * (y \ R(y,z,u)).
R(1 / x,x,y) \ 1 = a(1 / x,x,y) \ x.
R(1 / x,x,y) \ 1 = a(x \ 1,x,y) \ x.
x != (y * L(y \ 1,z,u)) * w | x = a(u,z,y \ 1) \ w.
(a(x,y,z \ 1) \ u) * L(w,u,z * L(z \ 1,y,x)) = a(x,y,z \ 1) \ (u * w).
(a(x,y,y \ 1) \ z) * u != a(x,y,y \ 1) \ (z * w) | u = w.
L(x,y,z * L(z \ 1,z,u)) = x.
L(x,y,z * ((u * z) \ u)) = x.
((x * ((y * x) \ y)) * ((z * u) * w)) / (u * w) = (x * ((y * x) \ y)) * R(z,u,w).
(a(x,y,y \ 1) \ ((z * u) * w)) / (u * w) = (y * ((x * y) \ x)) * R(z,u,w).
((a(x,y,y \ 1) \ (z * u)) * w) / (u * w) = (y * ((x * y) \ x)) * R(z,u,w).
(((a(x,y,y \ 1) \ z) * u) * w) / (u * w) = (y * ((x * y) \ x)) * R(z,u,w).
R(a(x,y,y \ 1) \ z,u,w) = (y * ((x * y) \ x)) * R(z,u,w).
(x * ((y * x) \ y)) * R(z,u,w) = R(a(y,x,x \ 1) \ z,u,w).
x != (y * ((z * y) \ z)) * u | x = a(z,y,y \ 1) \ u.
R(a(x,y,y \ 1) \ z,u,w) = a(x,y,y \ 1) \ R(z,u,w).
a(x,y,y \ 1) \ R(z,u,w) = R(a(x,y,y \ 1) \ z,u,w).
a(x,y,y \ 1) \ 1 = R(a(x,y,y \ 1) \ 1,z,u).
R(a(x,y,y \ 1) \ 1,z,u) = a(x,y,y \ 1) \ 1.
x \ R(a(x \ y,x,x \ 1) \ ((1 / (y \ (y / x))) * z),u,w) = (y \ (y / x)) * R((y \ (y / x)) \ z,u,w).
x \ R((1 / (y \ (y / x))) * (a(x \ y,x,x \ 1) \ z),u,w) = (y \ (y / x)) * R((y \ (y / x)) \ z,u,w).
(x * (1 / y)) / (x / y) = a(x,1 / y,(1 / y) \ 1).
a(x,1 / y,(1 / y) \ 1) = (x * (1 / y)) / (x / y).
a(x,1 / y,y) = (x * (1 / y)) / (x / y).
(x * (1 / y)) / (x / y) = a(x,1 / y,y).
x != a(y,1 / z,u) | x = a(y,z \ 1,u).
(x * (1 / y)) / (x / y) = a(x,y \ 1,y).
a(x,y \ 1,y) \ (x * (1 / y)) = x / y.
a(x,y \ 1,y) * (x \ (x / y)) = 1 / y.
(x / y) / (1 / y) = x / a(x,y \ 1,y).
x / a(x,y \ 1,y) = (x / y) / (1 / y).
(x / y) / (1 / y) = a(x,y \ 1,y) \ x.
a(x,y \ 1,y) \ x = (x / y) / (1 / y).
x * y != z / a(z,u \ 1,u) | x \ ((z / u) / (1 / u)) = y.
x \ ((x / y) / (1 / y)) = a(x,y \ 1,y) \ 1.
(x * (a(R(x,y,z),u \ 1,u) \ 1)) / ((R(x,y,z) / u) / (1 / u)) = R(x,y,z) \ x.
(x / a(R(x,y,z),u \ 1,u)) / ((R(x,y,z) / u) / (1 / u)) = R(x,y,z) \ x.
x * y != L(z,u,w) \ (a(w,u,z) \ v5) | (z \ v5) / y = x.
(x \ y) / a(z,u,x) = x \ (a(z,u,x) \ y).
(L(x,y,z) \ u) \ w = a(z,y,x) \ ((x \ u) \ w).
a(x,y,z) \ ((z \ u) \ w) = (L(z,y,x) \ u) \ w.
((1 / (x \ (x / y))) * R(z,y,y \ ((x \ (x / y)) \ 1))) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
L(x,y,a(z,u,y)) * w != x | 1 = w.
1 = a(a(x,y,z),z,u).
a(a(x,y,z),z,u) = 1.
(x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1).
x != y / (z \ R(z,u,w)) | x = y * (R(z,u,w) \ z).
x / (a(y,z,u * K(w,v5)) * v6) = (x / v6) * (R(y,z,u) \ y).
x / ((y \ R(y,z,u)) * w) = (x / w) * (R(y,z,u) \ y).
x / (R(y,z,u) * (y \ w)) = (x / w) * (R(y,z,u) \ y).
x != y / (R(z,u,w) * (z \ y)) | x = R(R(z,u,w) \ z,R(z,u,w),z \ y).
(x / x) * (R(y,z,u) \ y) = R(R(y,z,u) \ y,R(y,z,u),y \ x).
R(R(x,y,z) \ x,R(x,y,z),x \ u) = (u / u) * (R(x,y,z) \ x).
x != (y / y) * z | x = z.
R(R(x,y,z) \ x,R(x,y,z),x \ u) = R(x,y,z) \ x.
R(R(x,y,z) \ x,R(x,y,z),u) = R(x,y,z) \ x.
R(x / y,z,u) \ (x / y) = T(x / (R(x / y,z,u) * y),R(x / y,z,u)).
T(x / (R(x / y,z,u) * y),R(x / y,z,u)) = R(x / y,z,u) \ (x / y).
T(x / (y * R(y \ x,z,u)),R(x / y,z,u)) = R(x / y,z,u) \ (x / y).
x != T(y / (z * R(z \ y,u,w)),R(y / z,u,w)) | x = y / (z * R(z \ y,u,w)).
R(x / y,z,u) \ (x / y) = x / (y * R(y \ x,z,u)).
x / (y * R(y \ x,z,u)) = R(x / y,z,u) \ (x / y).
x / (y \ R(y * x,z,u)) = R(x / (1 / y),z,u) \ (x / (1 / y)).
R(x / (1 / y),z,u) \ (x / (1 / y)) = x / (y \ R(y * x,z,u)).
a(x,y,y \ 1) \ x = (x / (y \ 1)) / (1 / (y \ 1)).
a(x,y,y \ 1) \ x = (x / (y \ 1)) / y.
(x * (a(y,z,u) * w)) \ (x * (a(y,z,u) * (w * v5))) = L(v5,w,x * a(y,z,u)).
L(L(x,y,a(z,u,w)),a(z,u,w) * y,v5) = L(x,y,v5 * a(z,u,w)).
L(L(x,L(y,z,u),a(u,z,y)),y,w) = L(x,L(y,z,u),w * a(u,z,y)).
L(x,a(y,z,u) * u,w) = L(x,u,w * a(y,z,u)).
L(1 / x,y,z) \ 1 = a(z,y,x \ 1) * x.
x != L(1 / y,z,u) \ 1 | x = 1 / L(y \ 1,z,u).
a(x,y,z \ 1) * z = 1 / L(z \ 1,y,x).
1 / L(x \ 1,y,z) = a(z,y,x \ 1) * x.
1 / ((x * y) \ x) = a(x,y,y \ 1) * y.
(1 / ((x * y) \ x)) * z = (a(x,y,y \ 1) * y) * z.
(1 / ((x * y) \ x)) * z = (y * a(x,y,y \ 1)) * z.
(1 / ((x * y) \ x)) * z = y * (a(x,y,y \ 1) * z).
a(x * (a(y,x,x \ 1) * z),u,T(w,v5)) = a(z * (1 / ((y * x) \ y)),u,w).
a(x * (1 / ((y * z) \ y)),u,w) = a(z * (a(y,z,z \ 1) * x),u,T(w,v5)).
x != a(y * z,u,T(w,v5)) | x = a(z * y,u,w).
a(x * (1 / ((y * z) \ y)),u,w) = a((a(y,z,z \ 1) * x) * z,u,w).
a((a(x,y,y \ 1) * z) * y,u,w) = a(z * (1 / ((x * y) \ x)),u,w).
a(a(x,y,y \ 1) * (z * y),u,w) = a(z * (1 / ((x * y) \ x)),u,w).
x != a(a(y,z,z \ 1) * u,w,v5) | x = a(u,w,v5).
a(x * (1 / ((y * z) \ y)),u,w) = a(x * z,u,w).
x != a(y * (1 / z),u,w) | x = a(y / z,u,w).
a(x * y,z,u) = a(x / ((w * y) \ w),z,u).
a(x / ((y * z) \ y),u,w) = a(x * z,u,w).
x != a(y / ((z * u) \ z),w,T(v5,v6)) | x = a(L(u \ 1,u,z) \ y,w,v5).
a(x * y,z,T(u,w)) = a(L(y \ 1,y,v5) \ x,z,u).
a(L(x \ 1,x,y) \ z,u,w) = a(z * x,u,T(w,v5)).
a(x / (y \ z),u,w) = a(x * (z \ y),u,w).
a(L(x \ 1,x,y) \ z,u,w) = a(x * z,u,w).
a((x \ y) \ z,u,w) = a((y \ x) * z,u,w).
a((1 / x) \ y,z,u) = a(x * y,z,u).
a((((x / y) * (y / x)) * z) \ u,w,v5) = a((((x / y) * z) \ (1 / (y / x))) * u,w,v5).
a((((x / y) * z) \ (1 / (y / x))) * u,w,v5) = a((((x / y) * (y / x)) * z) \ u,w,v5).
x != a(y,z,z \ 1) * (((y * z) \ y) * (((z \ 1) \ 1) * u)) | x = L(u,T(z,(y * z) \ y),(y * z) \ y).
(x \ 1) * (((x \ 1) \ 1) * y) = L(y,T(x,(z * x) \ z),(z * x) \ z).
L(x,T(y,(z * y) \ z),(z * y) \ z) = (y \ 1) * (((y \ 1) \ 1) * x).
L(x,T(y,(z * y) \ z),(z * y) \ z) = L(x,(y \ 1) \ 1,y \ 1).
x != L(y,(z \ 1) \ 1,z \ 1) | x = L(y,z,z \ 1).
L(x,T(y,(z * y) \ z),(z * y) \ z) = L(x,y,y \ 1).
L(x,y,y \ 1) = L(x,y,(z * y) \ z).
L(x,y,(z * y) \ z) = L(x,y,y \ 1).
L(x,y,z \ (z / y)) = L(x,y,y \ 1).
x \ (a(y,z,x) \ u) = (x * a(y,z,x)) \ u.
(x * a(y,z,x)) \ u = x \ (a(y,z,x) \ u).
(x \ (a(y,z,x) \ u)) * w = (x \ u) * (a(y,z,x) \ w).
x * (a(x,y,z) * u) = a(x,y,z) * (x * u).
a(x,y,z) * (x * u) = x * (a(x,y,z) * u).
T(a(x,y,z),x * u) = (x * u) \ (x * (a(x,y,z) * u)).
(x * y) \ (x * (a(x,z,u) * y)) = T(a(x,z,u),x * y).
L(T(a(x,y,z),u),u,x) = T(a(x,y,z),x * u).
L(a(x,y,T(z,u)),w,x) = T(a(x,y,z),x * w).
x != T(a(y,z,u),w) | x = a(y,z,T(u,v5)).
L(a(x,y,T(z,u)),w,x) = a(x,y,T(z,v5)).
L(a(x,y,z),u,x) = a(x,y,T(z,w)).
x != a(y,z,T(u,w)) | x = a(y,z,u).
L(a(x,y,z),u,x) = a(x,y,z).
x != L(a(y,z,u),w * L(u,z,y),v5) | x = a(y,z,L(u,w,v5)).
a(x,y,z) = a(x,y,L(z,u,x)).
a(x,y,L(z,u,x)) = a(x,y,z).
R(x,L(y,z,u),a(u,w,y)) = x.
R(x,L(y \ z,u,y \ 1),((y \ z) / z) * y) = x.
R(x,(1 / y) * z,((y \ z) / z) * y) = x.
x != R(y / ((1 / z) * u),(1 / z) * u,((z \ u) / u) * z) | x = (y * (((1 / z) * u) \ (z \ u))) / (z \ u).
x / ((1 / y) * z) = (x * (((1 / y) * z) \ (y \ z))) / (y \ z).
(x * (((1 / y) * z) \ (y \ z))) / (y \ z) = x / ((1 / y) * z).
(x * (((y \ z) / z) * y)) / (y \ z) = x / ((1 / y) * z).
x / (y * ((z * y) \ z)) = x * a(z,y,y \ 1).
x != (y * z) / (u * z) | x = R(y / u,u,z).
(x * ((y * z) \ y)) * a(y,z,z \ 1) = R(x / z,z,(y * z) \ y).
1 * x != (y * ((z * u) \ z)) * a(z,u,u \ 1) | x = R(y / u,u,(z * u) \ z).
x \ 1 = R(1 / x,x,(y * x) \ y).
R(1 / x,x,(y * x) \ y) = x \ 1.
R(1 / x,x,y \ (y / x)) = x \ 1.
x != R(1 / y,y,z \ (z / y)) | x = (z \ (z / ((y \ 1) \ 1))) / ((z \ (z / y)) * y).
x \ 1 = (y \ (y / ((x \ 1) \ 1))) / ((y \ (y / x)) * x).
(x \ (x / ((y \ 1) \ 1))) / ((x \ (x / y)) * y) = y \ 1.
x * (y \ L(y,z,u)) = x / a(u,z,y).
x * (L(y,z,u) / y) = x / a(u,z,y).
x != L(y,L(z,u,w),1 / z) * (L(z,u,w) / z) | x = (1 / z) * (L(z,u,w) * T(y,z \ L(z,u,w))).
L(x,L(y,z,u),1 / y) / a(u,z,y) = (1 / y) * (L(y,z,u) * T(x,y \ L(y,z,u))).
(1 / x) * (L(x,y,z) * T(u,x \ L(x,y,z))) = L(u,L(x,y,z),1 / x) / a(z,y,x).
(1 / x) * (L(x,y,z) * T(u,x \ L(x,y,z))) = L(u,L(x,y,z),x \ 1) / a(z,y,x).
((x * y) * z) / ((R(x,u,w) * y) * z) = R(R(x,y,z),u,w) \ R(x,y,z).
L(x,y,z) * ((u * L(x,y,z)) \ w) = x * ((u * x) \ w).
(x * ((y * x) \ y)) * z = a(y,L(x,u,w),L(x,u,w) \ 1) \ z.
a(x,L(y,z,u),L(y,z,u) \ 1) \ w = (y * ((x * y) \ x)) * w.
a(x,L(y,z,u),L(y,z,u) \ 1) \ w = a(x,y,y \ 1) \ w.
x != a(y,z,z \ 1) \ y | x = (y / (z \ 1)) / (1 / (z \ 1)).
a(x,y,y \ 1) \ x = (x / (L(y,z,u) \ 1)) / (1 / (L(y,z,u) \ 1)).
x != a(y,z,z \ 1) \ y | x = (y / (z \ 1)) / z.
(x / (L(y,z,u) \ 1)) / (1 / (L(y,z,u) \ 1)) = (x / (y \ 1)) / y.
(x / (L(y,z,u) \ 1)) / L(y,z,u) = (x / (y \ 1)) / y.
x != (R(y,z,u) / (L(1 / w,v5,v6) \ 1)) / L(1 / w,v5,v6) | x = (L(w \ 1,v5,v6) * R(L(1 / w,v5,v6) \ (y / (L(1 / w,v5,v6) \ 1)),z,u)) / L(w \ 1,v5,v6).
(R(x,y,z) / ((1 / u) \ 1)) / (1 / u) = (L(u \ 1,w,v5) * R(L(1 / u,w,v5) \ (x / (L(1 / u,w,v5) \ 1)),y,z)) / L(u \ 1,w,v5).
(L(x \ 1,y,z) * R(L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)),w,v5)) / L(x \ 1,y,z) = (R(u,w,v5) / ((1 / x) \ 1)) / (1 / x).
(L(x \ 1,y,z) * R(L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)),w,v5)) / L(x \ 1,y,z) = (R(u,w,v5) / x) / (1 / x).
x != (y * R(z,u,w)) / y | x = R((y * z) / y,u,w).
(R(x,y,z) / u) / (1 / u) = R((L(u \ 1,w,v5) * (L(1 / u,w,v5) \ (x / (L(1 / u,w,v5) \ 1)))) / L(u \ 1,w,v5),y,z).
R((L(x \ 1,y,z) * (L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)))) / L(x \ 1,y,z),w,v5) = (R(u,w,v5) / x) / (1 / x).
(x * (L(y,z,u) * w)) \ ((x * L(y,z,u)) * w) = a(x,y,a(u,z,y) \ w).
a(x,L(y,z,u),w) = a(x,y,a(u,z,y) \ w).
a(x,y,a(z,u,y) \ w) = a(x,L(y,u,z),w).
x != a(a(y,z,u),u,w) | x = 1.
a(a(x,y,z),L(z,u,w),v5) = 1.
L(x,L(y,z,u),a(w,v5,y)) = x.
L(x,y,z) = L(x,L(y,u,w),z * a(w,u,y)).
L(x,L(y,z,u),w * a(u,z,y)) = L(x,y,w).
L(x,L(y,z,u),L(y,z,u) \ w) = L(x,y,y \ w).
x != L(y,L(z,u,w),L(z,u,w) \ 1) | x = (L(z,u,w) \ 1) * (L((z \ 1) \ 1,u,w) * y).
L(x,y,y \ 1) = (L(y,z,u) \ 1) * (L((y \ 1) \ 1,z,u) * x).
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,x,x \ 1).
L(x,L(y,z,u),y \ w) = L(x,y,y \ (a(u,z,y) \ w)).
L(x,y,y \ (a(z,u,y) \ w)) = L(x,L(y,u,z),y \ w).
(x * K(y,a(z,u,w) \ 1)) * a(z,u,w) = x / T(a(z,u,w) \ 1,y).
x != (y * K(z,u)) * w | x = y * (K(z,u) * w).
x / T(a(y,z,u) \ 1,w) = x * (K(w,a(y,z,u) \ 1) * a(y,z,u)).
x * (K(y,a(z,u,w) \ 1) * a(z,u,w)) = x / T(a(z,u,w) \ 1,y).
x * T(a(y,z,u),w) = x / T(a(y,z,u) \ 1,v5).
x / T(a(y,z,u) \ 1,w) = x * T(a(y,z,u),v5).
x / T(a(y,z,u),w) = x * T(a(y,z,u) \ 1,v5).
x * y != z / T(u,T(u,w) \ z) | x \ (u \ z) = y.
x \ (a(y,z,u) \ x) = T(a(y,z,u) \ 1,w).
T(a(x,y,z) \ 1,u) = w \ (a(x,y,z) \ w).
x / T(a(y,z,u),w) = x * (v5 \ (a(y,z,u) \ v5)).
x / a(y,z,(u \ w) \ w) = x * (v5 \ (a(y,z,u) \ v5)).
x * y != z / z | x \ 1 = y.
a(x,y,(z \ u) \ u) \ 1 = w \ (a(x,y,z) \ w).
T(x,y \ (a(z,u,w) \ y)) = x.
T(x,y \ L(y,z,u)) = x.
x != y | x = a(z,u,w) * (y / a(z,u,w)).
T(x,y \ L(y,z,u)) = a(w,v5,v6) * (x / a(w,v5,v6)).
L(x,y,z) * T(u,w \ L(w,v5,v6)) = x * (u / a(z,y,x)).
(1 / x) * (x * (y / a(z,u,x))) = L(y,L(x,u,z),x \ 1) / a(z,u,x).
L(x,L(y,z,u),y \ 1) / a(u,z,y) = (1 / y) * (y * (x / a(u,z,y))).
L(x,L(y,z,u),y \ 1) / a(u,z,y) = L(x / a(u,z,y),y,y \ 1).
(x \ 1) * (a(y,z,1 / x) \ (L(1 / x,z,y) \ u)) = K(x \ 1,x) * u.
(x \ 1) * (a(y,z,x \ 1) \ (L(1 / x,z,y) \ u)) = K(x \ 1,x) * u.
x != y * (a(z,u,y) \ w) | x = L(y,u,z) * w.
K(x \ 1,x) * y = L(x \ 1,z,u) * (L(1 / x,z,u) \ y).
L(x \ 1,y,z) * (L(1 / x,y,z) \ u) = K(x \ 1,x) * u.
R((K(x \ 1,x) * (y / (L(1 / x,z,u) \ 1))) / L(x \ 1,z,u),w,v5) = (R(y,w,v5) / x) / (1 / x).
R((x / (L(1 / y,z,u) \ K(y,y \ 1))) / L(y \ 1,z,u),w,v5) = (R(x,w,v5) / y) / (1 / y).
a(x,y,z) \ (((z \ 1) \ 1) * u) = L((z \ 1) \ 1,y,x) * u.
x != (y / z) / a(u,w,v5) | x = y / (a(u,w,v5) * z).
(L(x,y,z) / x) / x = 1 / (a(z,y,x) * x).
(x \ L(x,y,z)) / x = 1 / (a(z,y,x) * x).
(x \ L(x,y,z)) / x = 1 / (x * a(z,y,x)).
(x \ L(x,y,z)) \ (x * (1 / (x * a(z,y,x)))) = K(x,(x \ L(x,y,z)) / x).
R(a(x,y,z),z \ 1,u) \ ((1 / L(z,y,x)) * u) = T(1 / z,a(x,y,z)) * u.
R(a(x,y,z),z \ 1,u) \ ((1 / L(z,y,x)) * u) = (1 / z) * u.
R(a(x,y,z),z \ 1,(1 / L(z,y,x)) \ u) \ u = (1 / z) * ((1 / L(z,y,x)) \ u).
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = R(a(u,z,y),y \ 1,(1 / L(y,z,u)) \ x).
R(a(x,y,z),z \ 1,(1 / L(z,y,x)) \ u) = u / ((1 / z) * ((1 / L(z,y,x)) \ u)).
x != a(y,z,u) \ ((1 / u) \ w) | x = w * L(w \ ((1 / u) \ w),z,y).
(1 / L(x,y,z)) \ u = u * L(u \ ((1 / x) \ u),y,z).
x * L(x \ ((1 / y) \ x),z,u) = (1 / L(y,z,u)) \ x.
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = a(u,z,x / ((1 / y) * x)).
x * y != (z \ L(z,u,w)) * v5 | x \ (a(w,u,z) \ v5) = y.
x \ (a(y,z,u) \ 1) = x \ (u \ L(u,z,y)).
R(a(x,y,R(z,u,w)),L(R(z,u,w),y,x),u * w) = ((z * u) * w) / ((L(z,y,x) * u) * w).
x != (y * z) / (L(y,u,w) * z) | x = a(w,u,y).
R(a(x,y,z),L(z,y,x),u) = a(x,y,z).
x != R(a(y,z,R(u,w,v5)),L(R(u,w,v5),z,y),w * v5) | x = ((u * w) * v5) / ((L(u,z,y) * w) * v5).
a(x,y,R(z,u,w)) = ((z * u) * w) / ((L(z,y,x) * u) * w).
((x * y) * z) / ((L(x,u,w) * y) * z) = a(w,u,R(x,y,z)).
x != ((y * z) * u) / ((L(y,w,v5) * z) * u) | x = R(a(v5,w,y),L(y,w,v5) * z,u).
a(x,y,R(z,u,w)) = R(a(x,y,z),L(z,y,x) * u,w).
R(a(x,y,z),L(z,y,x) * u,w) = a(x,y,R(z,u,w)).
R(a(x,y,z),a(x,y,z) \ u,w) = a(x,y,R(z,z \ u,w)).
x != R(y,a(z,u,w) \ 1,v5) | x = y.
a(x,y,R(z,z \ 1,u)) = a(x,y,z).
a(x,y,R(z \ 1,z,u)) = a(x,y,z \ 1).
x != a(y,z,R(u \ 1,u,w)) | x = a(y,z,w / (u * w)).
a(x,y,z \ 1) = a(x,y,u / (z * u)).
a(x,y,z / (u * z)) = a(x,y,u \ 1).
x != a(y,z,u / ((1 / w) * u)) | x = u / ((1 / w) * ((1 / L(w,z,y)) \ u)).
a(x,y,(1 / z) \ 1) = u / ((1 / z) * ((1 / L(z,y,x)) \ u)).
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = a(u,z,(1 / y) \ 1).
a(x,y,(z \ u) / u) = a(x,y,z \ 1).
L((x \ y) / y,z,u) \ (x \ y) = a(u,z,x \ 1) * y.
L(1 / x,y,z) \ (x \ T(x,u)) = a(z,y,x \ 1) * T(x,u).
L(1 / x,y,z) \ K(x,u) = a(z,y,x \ 1) * T(x,u).
R((x / (a(y,z,u \ 1) * T(u,u \ 1))) / L(u \ 1,z,y),w,v5) = (R(x,w,v5) / u) / (1 / u).
R((x / (L(y \ 1,z,u) \ 1)) / L(y \ 1,z,u),w,v5) = (R(x,w,v5) / y) / (1 / y).
R((x / ((y \ 1) \ 1)) / (y \ 1),z,u) = (R(x,z,u) / y) / (1 / y).
R((x / y) / (1 / y),z,u) = (R(x,z,u) / y) / (1 / y).
(R(x,y,z) / u) / (1 / u) = R((x / u) / (1 / u),y,z).
(x / a(R(x,y,z),u \ 1,u)) / R((x / u) / (1 / u),y,z) = R(x,y,z) \ x.
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = a(u,z,y).
x != y / ((1 / z) * ((1 / L(z,u,w)) \ y)) | x = R(a(w,u,z),z \ 1,(1 / L(z,u,w)) \ y).
a(x,y,z) = R(a(x,y,z),z \ 1,(1 / L(z,y,x)) \ u).
R(a(x,y,z),z \ 1,(1 / L(z,y,x)) \ u) = a(x,y,z).
R(a(x,y,z),z \ 1,u) = a(x,y,z).
x != R(a(y,z,u),u \ w,v5) | x = ((L(u,z,y) \ w) * v5) / ((u \ w) * v5).
a(x,y,z) = ((L(z,y,x) \ 1) * u) / ((z \ 1) * u).
((L(x,y,z) \ 1) * u) / ((x \ 1) * u) = a(z,y,x).
x * y != ((L(z,u,w) \ 1) * v5) / ((z \ 1) * v5) | x \ a(w,u,z) = y.
(L(x,y,z) \ 1) \ a(z,y,x) = (x \ 1) \ 1.
a(x,y,z) * ((z \ 1) * u) = (L(z,y,x) \ 1) * u.
(x * y) / (y * a(z,u,w)) = x / a(z,u,w).
x / (T(y,y \ x) * a(z,u,w)) = (y \ x) / a(z,u,w).
x * (a(y,z,u) * (1 / (x * a(y,z,u)))) = K(x * a(y,z,u),a(y,z,u) \ (x \ 1)).
x != (y \ L(y,z,u)) \ w | x = a(u,z,y) * w.
K(x,(x \ L(x,y,z)) / x) = a(z,y,x) * (x * (1 / (x * a(z,y,x)))).
a(x,y,z) * (z * (1 / (z * a(x,y,z)))) = K(z,(z \ L(z,y,x)) / z).
x != a(y,z,u) * (u * w) | x = u * (a(y,z,u) * w).
K(x,(x \ L(x,y,z)) / x) = x * (a(z,y,x) * (1 / (x * a(z,y,x)))).
x * (a(y,z,x) * (1 / (x * a(y,z,x)))) = K(x,(x \ L(x,z,y)) / x).
x != y * (a(z,u,w) * (1 / (y * a(z,u,w)))) | x = K(y * a(z,u,w),a(z,u,w) \ (y \ 1)).
K(x,(x \ L(x,y,z)) / x) = K(x * a(z,y,x),a(z,y,x) \ (x \ 1)).
K(x * a(y,z,x),a(y,z,x) \ (x \ 1)) = K(x,(x \ L(x,z,y)) / x).
R(x \ 1,x,y) = y / (T(x,x \ 1) * y).
x / (T(y,y \ 1) * x) = R(y \ 1,y,x).
R(x \ 1,x,y) \ y = T(x,x \ 1) * y.
(x \ 1) \ a(y,z,x) = T(x,x \ 1) * a(y,z,x).
T(x,x \ 1) * a(y,z,x) = (x \ 1) \ a(y,z,x).
1 / ((x \ 1) \ a(y,z,x)) = (x \ 1) / a(y,z,x).
x != (y \ z) / a(u,w,y) | x = y \ (a(u,w,y) \ z).
1 / ((x \ 1) \ a(y,z,x)) = x \ (a(y,z,x) \ 1).
(x \ (a(y,z,x) \ 1)) \ 1 = (x \ 1) \ a(y,z,x).
(a(x,y,z) \ 1) * (((u * a(x,y,z)) \ 1) \ 1) = u * K(u * a(x,y,z),(u * a(x,y,z)) \ 1).
(a(x,y,z) \ 1) * ((z \ (a(x,y,z) \ 1)) \ 1) = z * K(z * a(x,y,z),(z * a(x,y,z)) \ 1).
x != (a(y,z,u) \ 1) * w | x = a(y,z,u) \ w.
x * K(x * a(y,z,x),(x * a(y,z,x)) \ 1) = a(y,z,x) \ ((x \ (a(y,z,x) \ 1)) \ 1).
x * K(x * a(y,z,x),a(y,z,x) \ (x \ 1)) = a(y,z,x) \ ((x \ (a(y,z,x) \ 1)) \ 1).
x * K(x,(x \ L(x,y,z)) / x) = a(z,y,x) \ ((x \ (a(z,y,x) \ 1)) \ 1).
a(x,y,z) \ ((z \ (a(x,y,z) \ 1)) \ 1) = z * K(z,(z \ L(z,y,x)) / z).
a(x,y,z) \ ((z \ (a(x,y,z) \ 1)) \ 1) = T(z,(z \ L(z,y,x)) / z).
T(x,(x \ L(x,y,z)) / x) = a(z,y,x) \ ((x \ (a(z,y,x) \ 1)) \ 1).
x != T(y,z / y) | x = T(y,y \ z).
a(x,y,z) \ ((z \ (a(x,y,z) \ 1)) \ 1) = T(z,z \ (z \ L(z,y,x))).
T(x,x \ (x \ L(x,y,z))) = a(z,y,x) \ ((x \ (a(z,y,x) \ 1)) \ 1).
T(x,x \ (x \ L(x,y,z))) = a(z,y,x) \ ((x \ 1) \ a(z,y,x)).
x != a(y,z,u) \ ((u \ w) \ v5) | x = (L(u,z,y) \ w) \ v5.
T(x,x \ (x \ L(x,y,z))) = (L(x,y,z) \ 1) \ a(z,y,x).
x != (L(y,z,u) \ 1) \ a(u,z,y) | x = (y \ 1) \ 1.
T(x,x \ (x \ L(x,y,z))) = (x \ 1) \ 1.
T(x,x \ (a(y,z,x) \ 1)) = (x \ 1) \ 1.
(a(x,y,z) \ 1) \ ((z \ (a(x,y,z) \ 1)) * (((z \ 1) \ 1) * u)) = L(u,(z \ (a(x,y,z) \ 1)) \ (a(x,y,z) \ 1),z \ (a(x,y,z) \ 1)).
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = (a(z,u,y) \ 1) \ ((y \ (a(z,u,y) \ 1)) * (((y \ 1) \ 1) * x)).
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = (a(z,u,y) \ 1) \ ((y \ 1) * (a(z,u,y) \ (((y \ 1) \ 1) * x))).
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = (a(z,u,y) \ 1) \ ((y \ 1) * (L((y \ 1) \ 1,u,z) * x)).
x != (a(y,z,u) \ 1) \ w | x = a(y,z,u) * w.
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = a(z,u,y) * ((y \ 1) * (L((y \ 1) \ 1,u,z) * x)).
L(x,T(y,y \ (a(z,u,y) \ 1)),y \ (a(z,u,y) \ 1)) = a(z,u,y) * ((y \ 1) * (L((y \ 1) \ 1,u,z) * x)).
a(x,y,z) * ((z \ 1) * (L((z \ 1) \ 1,y,x) * u)) = L(u,z,z \ (a(x,y,z) \ 1)).
x != L(y,z,z \ (a(u,w,z) \ v5)) | x = L(y,L(z,w,u),z \ v5).
a(x,y,z) * ((z \ 1) * (L((z \ 1) \ 1,y,x) * u)) = L(u,L(z,y,x),z \ 1).
x != a(y,z,u) * ((u \ 1) * w) | x = (L(u,z,y) \ 1) * w.
L(x,L(y,z,u),y \ 1) = (L(y,z,u) \ 1) * (L((y \ 1) \ 1,z,u) * x).
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,L(x,y,z),x \ 1).
x != (L(y,z,u) \ 1) * (L((y \ 1) \ 1,z,u) * w) | x = L(w,y,y \ 1).
L(x,L(y,z,u),y \ 1) = L(x,y,y \ 1).
L(x,y,y \ 1) / a(z,u,y) = L(x / a(z,u,y),y,y \ 1).
a(x / y,z,T(u,w)) != v5 | a(y \ x,z,u) = v5.
x * (R(x,y,z) \ 1) != u | R(x,y,z) \ x = u.
x * y != z \ (1 * (z * u)) | x \ u = y.
(x \ 1) \ y = (x * y) * a(x,x \ 1,x * y).
(x * y) * a(x,x \ 1,x * y) = (x \ 1) \ y.
x != y * a(z,u,w * v5) | x = a(z,u,v5 * w) * y.
(x \ 1) \ y = a(x,x \ 1,y * x) * (x * y).
a(x,x \ 1,y * x) * (x * y) = (x \ 1) \ y.
x * (y * z) != (y \ 1) \ z | x = y * (z / (y * z)).
a(x,x \ 1,y * x) = x * (y / (x * y)).
a(x / y,(x / y) \ 1,y * (x / y)) = (x / y) * (y / x).
L(x,y,K(z,u) * w) != v5 | v5 = L(x,y,w).
L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5.
x != R(y,y \ 1,z) * (y \ u) | x = y \ ((z / ((y \ 1) * z)) * u).
a(x,x \ 1,y) * z = x \ ((y / ((x \ 1) * y)) * z).
x \ ((y / ((x \ 1) * y)) * z) = a(x,x \ 1,y) * z.
x \ y = a(x,x \ 1,y) * ((x \ 1) * y).
a(x,x \ 1,y) * ((x \ 1) * y) = x \ y.
x * y != a(z,z \ 1,u) * ((z \ 1) * u) | x \ (z \ u) = y.
((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y).
(x * (y \ z)) / ((y \ 1) * z) = x * a(y,y \ 1,z).
a((x \ 1) \ 1,x \ 1,y) * ((x \ 1) * y) = x \ y.
x * y != (R(z,u,w) * (z \ v5)) / ((z \ 1) * v5) | x \ R(R(z,u,w),z \ 1,v5) = y.
R(x,y,z) \ R(R(x,y,z),x \ 1,u) = a(x,x \ 1,u).
(x * y) \ ((1 / x) \ y) = a(1 / x,(1 / x) \ 1,y).
a(1 / x,(1 / x) \ 1,y) = (x * y) \ ((1 / x) \ y).
a(1 / x,x,y) = (x * y) \ ((1 / x) \ y).
(x * y) \ ((1 / x) \ y) = a(1 / x,x,y).
(x * y) \ ((1 / x) \ y) = a(x \ 1,x,y).
((1 / x) \ y) / a(x \ 1,x,y) = x * y.
x * y != ((1 / z) \ u) / a(z \ 1,z,u) | x \ (z * u) = y.
((1 / x) \ y) \ (x * y) = a(x \ 1,x,y) \ 1.
((1 / x) \ y) / (x * y) = a(x \ 1,x,y).
(R((1 / x) \ y,z,u) * (a(x \ 1,x,y) \ 1)) / (x * y) = ((1 / x) \ y) \ R((1 / x) \ y,z,u).
(R((1 / x) \ y,z,u) / a(x \ 1,x,y)) / (x * y) = ((1 / x) \ y) \ R((1 / x) \ y,z,u).
(a(x \ 1,x,y) \ R((1 / x) \ y,z,u)) / (x * y) = ((1 / x) \ y) \ R((1 / x) \ y,z,u).
x != (y \ z) \ R(y \ z,u,w) | x = z \ (y * R(y \ z,u,w)).
(a(x \ 1,x,y) \ R((1 / x) \ y,z,u)) / (x * y) = y \ ((1 / x) * R((1 / x) \ y,z,u)).
(a(x \ 1,x,y) \ R((1 / x) \ y,z,u)) / (x * y) = y \ (x \ R(x * y,z,u)).
(R((1 / x) \ y,z,u) * (w / (w * a((1 / x) \ y,z,u)))) / (x * y) = a(x \ 1,x,y).
(R((1 / x) \ y,z,u) * (w / (w * a(x * y,z,u)))) / (x * y) = a(x \ 1,x,y).
x != (y * (z / (z * a(u,w,v5)))) / u | x = y / (u * a(u,w,v6 * (v5 / v6))).
a(x \ 1,x,y) = R((1 / x) \ y,z,u) / ((x * y) * a(x * y,z,w * (u / w))).
R((1 / x) \ y,z,u) / ((x * y) * a(x * y,z,w * (u / w))) = a(x \ 1,x,y).
R((1 / x) \ y,z,u) / R(x * y,z,(u / w) * w) = a(x \ 1,x,y).
R((1 / x) \ y,z,u) / R(x * y,z,u) = a(x \ 1,x,y).
a(x \ 1,x,y) \ R((1 / x) \ y,z,u) = R(x * y,z,u).
R(x * y,z,u) / (x * y) = y \ (x \ R(x * y,z,u)).
a(x * y,z,u) = y \ (x \ R(x * y,z,u)).
x \ (y \ R(y * x,z,u)) = a(y * x,z,u).
(x * y) \ R(x * y,z,u) = y \ (x \ R(x * y,z,u)).
x / R(x,y,z) != u | R(x,y,z) \ x = u.
x * y != L(x,z,u) * a(u,z,x) | 1 = y.
1 = a(x,y,a(z,u,w)) * a(a(z,u,w),y,x).
a(x,y,a(z,u,w)) * a(a(z,u,w),y,x) = 1.
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)).
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w.
L(x,y,T(z,u)) != w | L(x,y,z) = w.
L(x,y,z \ (u * z)) != w | L(x,y,u) = w.
L(x,y,((z \ 1) \ 1) * u) != w | L(x,y,z * u) = w.
L(x,y,z / u) != w | L(x,y,u \ z) = w.
a(((x / y) * (y / z)) \ x,u,w) != v5 | L(a(z,u,w),y,y \ x) = v5.
x != R(y,z,z \ 1) \ (y * z) | x = L((z \ 1) \ 1,z \ 1,y * z).
a(x,y,y \ 1) \ y = L((y \ 1) \ 1,y \ 1,x * y).
L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x.
(x \ 1) * (a(y,x,x \ 1) \ x) = x \ L(x,x \ 1,y * x).
L(x \ 1,x,y) * x = x \ L(x,x \ 1,y * x).
x \ L(x,x \ 1,y * x) = L(x \ 1,x,y) * x.
(L(x \ 1,x,y) * x) \ z = a(y * x,x \ 1,x) * z.
x != (L(y \ 1,y,z / y) * y) \ y | x = (z \ (z / y)) \ 1.
a((x / y) * y,y \ 1,y) * y = (x \ (x / y)) \ 1.
(x \ (x / y)) \ 1 = a((x / y) * y,y \ 1,y) * y.
(x \ (x / y)) \ 1 = a(x,y \ 1,y) * y.
(x \ (x / y)) \ 1 = y * a(x,y \ 1,y).
x * y != a(z,u \ 1,u) * u | x \ ((z \ (z / u)) \ 1) = y.
x \ ((y \ (y / x)) \ 1) = a(y,x \ 1,x).
L(x,(y \ (y / z)) \ 1,u) = L(x,z,u * a(y,z \ 1,z)).
(x \ (x / y)) * (y * a(x,y \ 1,y)) = 1.
x / L(a(y,z \ 1,z),z,x / (z * a(y,z \ 1,z))) = (x / ((y \ (y / z)) \ 1)) * z.
x / a(y,z \ 1,z) = (x / ((y \ (y / z)) \ 1)) * z.
(x / ((y \ (y / z)) \ 1)) * z = x / a(y,z \ 1,z).
x != L(y,z,u * w) | x = L(y,z,((u \ 1) \ 1) * w).
L(x,(y \ (y / z)) \ 1,u) = L(x,z,((u \ 1) \ 1) * a(y,z \ 1,z)).
L(x,(y \ (y / z)) \ 1,u \ (u / w)) = L(x,z,(u \ (u / ((w \ 1) \ 1))) * a(y,z \ 1,z)).
((1 / (x \ (x / y))) * R(z,y,a(x,y \ 1,y))) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
((1 / (x \ (x / y))) * z) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
x != (y * z) / a(u,w,w \ 1) | x = y * (z / a(u,w,w \ 1)).
(((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y = (1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)).
((((x \ (x / y)) \ 1) * z) / ((x \ (x / y)) \ 1)) * y = (1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)).
x != (y / ((z \ (z / u)) \ 1)) * u | x = y / a(z,u \ 1,u).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = (((x \ (x / y)) \ 1) * z) / a(x,y \ 1,y).
x != (y * z) / a(u,w \ 1,w) | x = y * (z / a(u,w \ 1,w)).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = ((x \ (x / y)) \ 1) * (z / a(x,y \ 1,y)).
x != y * (z * a(u,w,z)) | x = (y * z) * a(u,w,z).
1 = ((x \ (x / y)) * y) * a(x,y \ 1,y).
((x \ (x / y)) * y) * a(x,y \ 1,y) = 1.
a(x,y \ 1,y) \ 1 = (x \ (x / y)) * y.
x * ((y \ (y / z)) * z) = x / a(y,z \ 1,z).
x / ((y \ (y / z)) * z) = x * a(y,z \ 1,z).
x != (y \ (y / ((z \ 1) \ 1))) / ((y \ (y / z)) * z) | x = z \ 1.
(x \ (x / ((y \ 1) \ 1))) * a(x,y \ 1,y) = y \ 1.
L(x,(y \ (y / z)) \ 1,y \ (y / z)) = L(x,z,z \ 1).
x * y != L(z,(u \ (u / w)) \ 1,u \ (u / w)) | x \ L(z,w,w \ 1) = y.
(x \ (x / y)) \ L(z,y,y \ 1) = ((x \ (x / y)) \ 1) * z.
x * y != z * ((u \ (u / w)) * w) | x \ (z / a(u,w \ 1,w)) = y.
(x \ (x / y)) \ (L(z,y,x \ (x / y)) / a(x,y \ 1,y)) = y * T(z,(x \ (x / y)) * y).
(x \ (x / y)) \ (L(z,y,y \ 1) / a(x,y \ 1,y)) = y * T(z,(x \ (x / y)) * y).
(x \ (x / y)) \ (L(z,y,y \ 1) / a(x,y \ 1,y)) = y * T(z,y * (x \ (x / y))).
(x \ (x / y)) \ L(z / a(x,y \ 1,y),y,y \ 1) = y * T(z,y * (x \ (x / y))).
x != (y \ (y / z)) \ L(u,z,z \ 1) | x = ((y \ (y / z)) \ 1) * u.
x * T(y,x * (z \ (z / x))) = ((z \ (z / x)) \ 1) * (y / a(z,x \ 1,x)).
((x \ (x / y)) \ 1) * (z / a(x,y \ 1,y)) = y * T(z,y * (x \ (x / y))).
x != ((y \ (y / z)) \ 1) * (u / a(y,z \ 1,z)) | x = (1 / (y \ (y / z))) * (u / a(z \ y,z,z \ 1)).
x * T(y,x * (z \ (z / x))) = (1 / (z \ (z / x))) * (y / a(x \ z,x,x \ 1)).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = y * T(z,y * (x \ (x / y))).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = y * T(z,a(u,w,v5)).
x != y * T(z,a(u,w,v5)) | x = T(y * z,a(v6,v7,v8)).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = T(y * z,a(u,w,v5)).
T(x * y,a(z,u,w)) = (1 / (v5 \ (v5 / x))) * (y / a(x \ v5,x,x \ 1)).
x != T(y,a(z,u,w)) | x = L(y,v5,K(v6,v7)).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = L(y * z,u,K(w,v5)).
L(x * y,z,K(u,w)) = (1 / (v5 \ (v5 / x))) * (y / a(x \ v5,x,x \ 1)).
L(x * y,z,K(u,w)) = (1 / (v5 \ (v5 / x))) * (a(x \ v5,x,x \ 1) \ y).
(1 / (x \ (x / y))) * (a(y \ x,y,y \ 1) \ z) = y * z.
x \ R(x * y,z,u) = (w \ (w / x)) * R((w \ (w / x)) \ y,z,u).
(x \ (x / y)) * R((x \ (x / y)) \ z,u,w) = y \ R(y * z,u,w).
(x / y) * R(y * (z * a(y \ x,y,z)),u,w) = x * (y \ R(y * z,u,w)).
(x * (y \ R(y * z,u,w))) / z = ((x / y) / z) * R(((x / y) / z) \ x,u,w).
((x / y) / z) * R(((x / y) / z) \ x,u,w) = (x * (y \ R(y * z,u,w))) / z.
((R(x,y,z) * u) * w) / ((x * u) * w) = R(a(x,y,z),x * u,w).
R(R(1 / a(x,y,z),a(x,y,z),x * u),R(x,y,z) * u,w) = ((x * u) * w) / ((a(x,y,z) * (x * u)) * w).
x != ((R(y,z,u) * w) * v5) / ((y * w) * v5) | x = R(y,w,v5) \ R(R(y,w,v5),z,u).
R(a(x,y,z),x * u,w) = R(x,u,w) \ R(R(x,u,w),y,z).
R(x,y,z) \ R(R(x,y,z),u,w) = R(a(x,u,w),x * y,z).
x != R(y,z,u) \ R(R(y,z,u),y \ 1,w) | x = a(y,y \ 1,w).
R(a(x,x \ 1,y),x * z,u) = a(x,x \ 1,y).
R(a(x,x \ 1,y),z,u) = a(x,x \ 1,y).
a(x,x \ 1,y) * (z * u) = (a(x,x \ 1,y) * z) * u.
(a(x,x \ 1,y) * z) * u = a(x,x \ 1,y) * (z * u).
L(x,y,a(z,z \ 1,u)) = x.
x != L(y,z,a(u,w,v5)) | x = R(y,z,a(u,w,v5)).
x = R(x,y,a(z,z \ 1,u)).
R(x,y,a(z,z \ 1,u)) = x.
L(x,y,a(z \ 1,z,u)) = x.
L(x,y,(z / u) * (u / z)) = x.
(a(x \ 1,x,y) * z) * u = a(x \ 1,x,y) * (z * u).
(a(x \ 1,x,y) * (z * u)) \ ((a(x \ 1,x,y) * z) * (u * w)) = L(w,L(u,z,a(x \ 1,x,y)),a(x \ 1,x,y) * z).
((a(x \ 1,x,y) * z) * (u * w)) \ ((a(x \ 1,x,y) * (z * u)) * w) = a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w).
x != L(y \ (z \ u),T(y,w),z) | x = (z * y) \ u.
x \ (((y / z) * (z / y)) \ u) = (((y / z) * (z / y)) * x) \ u.
(((x / y) * (y / x)) * z) \ u = z \ (((x / y) * (y / x)) \ u).
a(x \ (((y / z) * (z / y)) \ u),w,v5) = a(((y / z) * (z / y)) \ (x \ u),w,v5).
a(((x / y) * (y / x)) \ (z \ u),w,v5) = a(z \ (((x / y) * (y / x)) \ u),w,v5).
a((((x / y) * z) \ (1 / (y / x))) * u,w,v5) = a(z \ (((x / y) * (y / x)) \ u),w,v5).
(a(x \ 1,x,y) * (z * (u * w))) \ ((a(x \ 1,x,y) * (z * u)) * w) = a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w).
(a(x \ 1,x,y) * (z * (u * w))) \ (a(x \ 1,x,y) * ((z * u) * w)) = a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w).
a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w) = a(z,u,L(w,z * u,a(x \ 1,x,y))).
a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w) = a(z,u,w).
a(a(x \ 1,x,y) * z,u,w) = a(z,u,w).
a(a(x,x \ 1,y) * z,u,w) = a(z,u,w).
a(x,y,z) = a(L(x,u,u \ 1),y,z).
a(L(x,y,y \ 1),z,u) = a(x,z,u).
a(((x / y) * (y / x)) * z,u,w) = a(z,u,w).
a((((x \ y) / y) * x) * z,u,w) = a(z,u,w).
a((1 / x) * y,z,u) = a(x \ y,z,u).
a(x,y,z) = a(((u / w) * (w / u)) \ x,y,z).
a(((x / y) * (y / x)) \ z,u,w) = a(z,u,w).
x != a(((y / z) * (z / y)) \ (u \ w),v5,v6) | x = a(u \ (((y / z) * (z / y)) \ w),v5,v6).
a(x \ y,z,u) = a(x \ (((w / v5) * (v5 / w)) \ y),z,u).
a(x \ (((y / z) * (z / y)) \ u),w,v5) = a(x \ u,w,v5).
a((1 / (x / y)) * z,u,w) = a((y / x) * z,u,w).
x != a((1 / y) * z,u,w) | x = a(y \ z,u,w).
a((x / y) * z,u,w) = a((y / x) \ z,u,w).
a((x / y) \ z,u,w) = a((y / x) * z,u,w).
x != a((y / (z \ 1)) \ u,w,v5) | x = a((y * z) \ u,w,v5).
a(((x \ 1) / y) * z,u,w) = a((y * x) \ z,u,w).
a(L(x / (y \ 1),y \ 1,y) \ z,u,w) = a(((x / (y * x)) / x) * z,u,w).
x != a(y \ (((z / u) * (u / z)) \ w),v5,v6) | x = a((((z / u) * y) \ (1 / (u / z))) * w,v5,v6).
a(x \ y,z,u) = a((((w / v5) * x) \ (1 / (v5 / w))) * y,z,u).
a((((x / y) * z) \ (1 / (y / x))) * u,w,v5) = a(z \ u,w,v5).
a(L(x,y \ 1,y) \ z,u,w) = a(x \ z,u,w).
x != a(L(y / (z \ 1),z \ 1,z) \ u,w,v5) | x = a(((y / (z * y)) / y) * u,w,v5).
a((x / (y \ 1)) \ z,u,w) = a(((x / (y * x)) / x) * z,u,w).
a(((x / (y * x)) / x) * z,u,w) = a((x / (y \ 1)) \ z,u,w).
x != a((y / z) \ u,w,v5) | x = a((z / y) * u,w,v5).
a(((x / (y * x)) / x) * z,u,w) = a(((y \ 1) / x) * z,u,w).
x != a(y / (z \ u),w,v5) | x = a(y * (u \ z),w,v5).
a((((x \ y) / y) * x) * (z / (u \ w)),v5,v6) = a(z * (w \ u),v5,v6).
R(x,y,(z / u) * (u / z)) = x.
x != R(y / (z / u),z / u,u) | x = (y * u) / z.
x / (y / ((z / u) * (u / z))) = (x * ((z / u) * (u / z))) / y.
(x * ((y / z) * (z / y))) / u = x / (u / ((y / z) * (z / y))).
x * (y * ((z / u) * (u / z))) = (x * y) * ((z / u) * (u / z)).
(x * y) * ((z / u) * (u / z)) = x * (y * ((z / u) * (u / z))).
(x * y) \ ((x * (y * z)) * ((u / w) * (w / u))) = L(z,y,x) * ((u / w) * (w / u)).
(x * ((y / z) * (z / y))) / u = x / (((y / z) * (z / y)) \ u).
x != y / (((z / u) * (u / z)) \ w) | x = (y / w) * ((z / u) * (u / z)).
(x * ((y / z) * (z / y))) / u = (x / u) * ((y / z) * (z / y)).
(((x / y) * (y / x)) * z) / u = (z / u) * ((x / y) * (y / x)).
L((x / (y / z)) * ((z / y) * (y / z)),z \ y,y \ z) = ((y / z) * ((z / y) * x)) / (y / z).
(x * y) \ (x * ((y * z) * ((u / w) * (w / u)))) = L(z,y,x) * ((u / w) * (w / u)).
(x * y) \ (x * (y * (z * ((u / w) * (w / u))))) = L(z,y,x) * ((u / w) * (w / u)).
L(x * ((y / z) * (z / y)),u,w) = L(x,u,w) * ((y / z) * (z / y)).
L(x,y,z) * ((u / w) * (w / u)) = L(x * ((u / w) * (w / u)),y,z).
x != L(y,z \ u,u \ z) * ((z / u) * (u / z)) | x = (z / u) * ((u / z) * y).
L(x * ((y / z) * (z / y)),y \ z,z \ y) = (y / z) * ((z / y) * x).
x != L((y / (z / u)) * ((u / z) * (z / u)),u \ z,z \ u) | x = ((z / u) * ((u / z) * y)) / (z / u).
(x / y) * ((y / x) * (z / (y / x))) = ((y / x) * ((x / y) * z)) / (y / x).
((x / y) * ((y / x) * z)) / (x / y) = (y / x) * ((x / y) * (z / (x / y))).
x != ((y / z) * ((z / y) * u)) / (y / z) | x = u / (u / ((z / y) * u)).
(x / y) * ((y / x) * (z / (y / x))) = z / (z / ((x / y) * z)).
x / (x / ((y / z) * x)) = (y / z) * ((z / y) * (x / (z / y))).
a(((x / y) * ((y / x) * (z / (y / x)))) \ u,w,v5) = a(((z / ((x / y) * z)) / z) * u,w,v5).
x != a(((y / (z * y)) / y) * u,w,v5) | x = a(((z \ 1) / y) * u,w,v5).
a(((x / y) * ((y / x) * (z / (y / x)))) \ u,w,v5) = a((((x / y) \ 1) / z) * u,w,v5).
(a(x \ 1,x,y) * (z * u)) \ (a(x \ 1,x,y) * (z * (u * w))) = L(w,L(u,z,a(x \ 1,x,y)),a(x \ 1,x,y) * z).
L(L(x,y,z),z * y,a(u \ 1,u,w)) = L(x,L(y,z,a(u \ 1,u,w)),a(u \ 1,u,w) * z).
x != L(y,z,a(u \ 1,u,w)) | x = y.
L(x,L(y,z,a(u \ 1,u,w)),a(u \ 1,u,w) * z) = L(x,y,z).
L(x,y,a(z \ 1,z,u) * w) = L(x,y,w).
L(x,y,z \ u) = L(x,y,(z \ 1) * u).
L(x,y,(z \ 1) * u) = L(x,y,z \ u).
L(x,y,z * u) = L(x,y,(z \ 1) \ u).
L(x,y,(z \ 1) \ u) = L(x,y,z * u).
L(x,y,(a(z \ 1,z,u) \ z) \ w) = L(x,y,R(1 / z,z,u) * w).
L(x,y,a(z \ 1,z,u) * (z \ w)) = L(x,y,R(1 / z,z,u) * w).
x != L(y,z,a(u \ 1,u,w) * v5) | x = L(y,z,v5).
L(x,y,R(1 / z,z,u) * w) = L(x,y,z \ w).
L(x,y,((z \ u) / u) * w) = L(x,y,z \ w).
(x * (((y \ z) / z) * y)) / L(u,u \ x,y \ y) = (((y \ z) / z) * y) * (x / u).
(x * (((y \ z) / z) * y)) / L(u,u \ x,1) = (((y \ z) / z) * y) * (x / u).
(x * (((y \ z) / z) * y)) / u = (((y \ z) / z) * y) * (x / u).
x != (y * (((z \ u) / u) * z)) / (z \ u) | x = y / ((1 / z) * u).
(((x \ y) / y) * x) * (z / (x \ y)) = z / ((1 / x) * y).
a(x / ((1 / y) * z),u,w) = a(x * (z \ y),u,w).
a(((1 / x) * y) \ z,u,w) = a(z * (y \ x),u,T(w,v5)).
a(((1 / x) * y) \ z,u,w) = a((y \ x) * z,u,w).
x != a(((1 / (1 / y)) * z) \ u,w,v5) | x = a((y * z) \ u,w,v5).
a((x \ (1 / y)) * z,u,w) = a((y * x) \ z,u,w).
x != a((((y / z) * u) \ (1 / (z / y))) * w,v5,v6) | x = a(u \ w,v5,v6).
a(((x / y) * ((y / x) * z)) \ u,w,v5) = a(z \ u,w,v5).
x != a(((y / z) * ((z / y) * (u / (z / y)))) \ w,v5,v6) | x = a((((y / z) \ 1) / u) * w,v5,v6).
a((x / (y / z)) \ u,w,v5) = a((((z / y) \ 1) / x) * u,w,v5).
a((((x / y) \ 1) / z) * u,w,v5) = a((z / (y / x)) \ u,w,v5).
a((((x / y) \ 1) / z) * u,w,v5) = a(((y / x) / z) * u,w,v5).
x != a(((y \ 1) / z) * u,w,v5) | x = a((z * y) \ u,w,v5).
a(((x / y) / z) * u,w,v5) = a((z * (y / x)) \ u,w,v5).
a((x * (y / z)) \ u,w,v5) = a(((z / y) / x) * u,w,v5).
L(a(x,y,z),u,u \ w) = a(((x / u) / (w / u)) * w,y,z).
a(((x / y) / (z / y)) * z,u,w) = L(a(x,u,w),y,y \ z).
R(R(a(x,y,z) \ 1,a(x,y,z),x * u),R(x,y,z) * u,w) = ((x * u) * w) / ((a(x,y,z) * (x * u)) * w).
R(a(x,y,z) \ 1,R(x,y,z) * u,w) = ((x * u) * w) / ((a(x,y,z) * (x * u)) * w).
R(a(x,y,z) \ 1,R(x,y,z) * u,w) = ((x * u) * w) / ((R(x,y,z) * u) * w).
x != ((y * z) * u) / ((R(y,w,v5) * z) * u) | x = R(R(y,z,u),w,v5) \ R(y,z,u).
R(a(x,y,z) \ 1,R(x,y,z) * u,w) = R(R(x,u,w),y,z) \ R(x,u,w).
x != R(y,z,u) \ y | x = a(y,z,u) \ 1.
R(a(x,y,z) \ 1,R(x,y,z) * u,w) = a(R(x,u,w),y,z) \ 1.
x != R(a(y,z,z \ 1) \ 1,u,w) | x = a(y,z,z \ 1) \ 1.
a(R(x,y,z),u,u \ 1) \ 1 = a(x,u,u \ 1) \ 1.
(a(x,y,y \ 1) \ 1) \ z = a(R(x,u,w),y,y \ 1) * z.
a(R(x,y,z),u,u \ 1) * w = (a(x,u,u \ 1) \ 1) \ w.
a(R(x,y,z),u \ 1,(u \ 1) \ 1) * w = (a(x,u \ 1,u) \ 1) \ w.
a(R(x,y,z),u \ 1,(u \ 1) \ 1) * w = a(x,u \ 1,u) * w.
a(R(x,y,z),u \ 1,u) * w = a(x,u \ 1,u) * w.
a(R(x,y,z),u \ 1,u) = a(x,u \ 1,u).
(x / a(x,y \ 1,y)) / R((x / y) / (1 / y),z,u) = R(x,z,u) \ x.
((x / y) / (1 / y)) / R((x / y) / (1 / y),z,u) = R(x,z,u) \ x.
R((x / y) / (1 / y),z,u) \ ((x / y) / (1 / y)) = R(x,z,u) \ x.
x != R(y / (1 / z),u,w) \ (y / (1 / z)) | x = y / (z \ R(z * y,u,w)).
R(x,y,z) \ x = (x / u) / (u \ R(u * (x / u),y,z)).
(x / y) / (y \ R(y * (x / y),z,u)) = R(x,z,u) \ x.
(x / y) / (R(x,z,u) / y) = R(x,z,u) \ x.
x / (R(x * y,z,u) / y) = R(x * y,z,u) \ (x * y).
x / (y \ R(y * x,z,u)) = R(x * y,z,u) \ (x * y).
R(x / (R(y * z,u,w) \ (y * z)),y / (z \ R(z * y,u,w)),z \ R(z * y,u,w)) = (x * (z \ R(z * y,u,w))) / y.
R(x * ((y * z) \ R(y * z,u,w)),y / (z \ R(z * y,u,w)),z \ R(z * y,u,w)) = (x * (z \ R(z * y,u,w))) / y.
R(x * (y \ (z \ R(z * y,u,w))),z / (y \ R(y * z,u,w)),y \ R(y * z,u,w)) = (x * (y \ R(y * z,u,w))) / z.
R(x * (y \ (z \ R(z * y,u,w))),R(z * y,u,w) \ (z * y),y \ R(y * z,u,w)) = (x * (y \ R(y * z,u,w))) / z.
x != R(y,R(z,u,w) \ z,v5) | x = y.
(x * (y \ R(y * z,u,w))) / z = x * (y \ (z \ R(z * y,u,w))).
(x * (y \ R(y * z,u,w))) / z = x * a(z * y,u,w).
x != (y * (z \ R(z * u,w,v5))) / u | x = ((y / z) / u) * R(((y / z) / u) \ y,w,v5).
x * a(y * z,u,w) = ((x / z) / y) * R(((x / z) / y) \ x,u,w).
((x / y) / z) * R(((x / y) / z) \ x,u,w) = x * a(z * y,u,w).
x \ (x * a(y * z,u,w)) = a(((x / z) / y) \ x,u,w).
a(((x / y) / z) \ x,u,w) = a(z * y,u,w).
a(x * y,z,u) = a((x / (w / y)) * w,z,u).
a((x / (y / z)) * y,u,w) = a(x * z,u,w).
x != a(((y / z) / (u / z)) * u,w,v5) | x = L(a(y,w,v5),z,z \ u).
a((x / y) * y,z,u) = L(a(x,z,u),y,y \ w).
L(a(x,y,z),u,u \ w) = a((x / u) * u,y,z).
L(a(x,y,z),u,u \ w) = a(x,y,z).
L(a(x,y,z),u,w) = a(x,y,z).
L(a(x,y,z),u,w) * v5 != a(x,y,z) | 1 = v5.
1 = a(x,y,a(z,u,w)).
a(x,y,a(z,u,w)) = 1.
a(x,y,a(z,u,w)) * v5 != 1 | 1 = v5.
1 = a(a(x,y,z),u,w).

end_of_list.
