% *********************************************************
% AIM:  RIF + LIP => aK1
% *********************************************************

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

set(para_from_small).

clear(back_demod).
set(restrict_denials).

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
   (y * x) \ (y * (x * u)) = L(u,x,y).
   ((u * x) * y) / (x * y) = R(u,x,y).
   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).

   % ------------
   % Special Case
   % ------------

   ((x * (y * z)) * x) * y = (x * y) * (z * (x * y)) # label("RIF").

   (1 / x) * (x * y) = y # label("LIP").

end_of_list.

formulas(goals).

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

end_of_list.

%
% Hints extracted from previously found proofs.
%

formulas(hints).

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).
((x * (y * z)) * x) * y = (x * y) * (z * (x * y)).
(1 / x) * (x * y) = y.
a(K(c1,c2),c3,c4) != 1.
1 \ x = x.
x \ x = 1.
x \ (x * (y \ (y * z))) = z.
(x * (x \ 1)) * y = y.
x \ (y * (y \ (x * z))) = z.
x * (y * (y \ (x \ z))) = z.
x / x = 1.
x / (y \ x) = y.
(x / y) \ x = y.
(x \ (x * (y / z))) * z = y.
((x * (x \ y)) / z) * z = y.
(((x / y) / z) * z) * y = x.
x != y | 1 * z != y | z = x.
x != y | z * u != y | u = z \ x.
x != y | z * u != y | z \ x = u.
x != y | z * u != y | z = x / u.
x != y | z * u != y | x / u = z.
1 * x != y | x = y.
x != y * z | y \ x = z.
x * y != z | x \ z = y.
x != y * x | 1 = y.
x * y != y | 1 = x.
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) * (y * z)) \ (x * z) = a(x / y,y,z).
(x * y) * K(y,x) = y * x.
x \ ((y \ x) * y) = K(y \ x,y).
((x \ y) * x) \ y = K(x,x \ y).
x \ (y * (x / y)) = K(y,x / y).
(x * y) * 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) / ((z \ x) * y) = R(z,z \ x,y).
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
((x * y) * (y \ z)) / z = R(x,y,y \ z).
R(x,y,z) * (y * z) = (x * y) * z.
(x * y) / (z * y) = R(x / z,z,y).
R(x / y,y,z) = (x * z) / (y * z).
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.
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 * (1 * y)) * x = (x * 1) * (y * (x * 1)).
(x * 1) * (y * (x * 1)) = (x * (1 * y)) * x.
((x * y) * x) * z = (x * z) * ((z \ y) * (x * z)).
(x * y) * ((y \ z) * (x * y)) = ((x * z) * x) * y.
x * y != z | x = z / y.
1 / x = y / (x * y).
x / (y * x) = 1 / y.
x * y != z | y = x \ z.
x * y = (1 / x) \ y.
(1 / x) \ y = x * y.
(1 / x) * y = x \ y.
x != y * (z * x) | 1 / z = y.
x * (y * z) != z | 1 / y = x.
x != y | z != y | z = x.
x != y | x = (y / z) * z.
1 * x = (x / y) * y.
(x / y) * y = 1 * x.
x != y | x = z * (z \ y).
x \ (x * y) = z * (z \ y).
x * 1 = y * (y \ x).
x * (x \ y) = y * 1.
1 / x = (x \ y) / y.
(x \ y) / y = 1 / x.
1 / x = x \ 1.
(x \ (y * z)) \ (((1 / x) * y) * z) = a(1 / x,y,z).
x / (y \ x) = z * (z \ y).
(x / (y \ x)) * z = y * z.
((x * y) * z) / a(x,y,z) = x * (y * z).
(x * (y * z)) / L(z,y,x) = x * y.
x * y = (x \ 1) \ y.
(x \ 1) \ y = x * y.
x / (y / ((z \ x) \ y)) = z.
(x \ 1) \ 1 = x.
x * y != z \ (z * (x * u)) | y = u.
(x \ 1) * (x * y) = y.
x * y != (x \ 1) \ z | y = z.
(x \ 1) \ y != x * z | z = y.
(x \ 1) \ 1 != y | x = y.
x / (y * x) = y \ 1.
(x \ y) / y = x \ 1.
x / y = (y / x) \ 1.
(x / y) \ 1 = y / x.
(x \ 1) * y = x \ y.
T(x,y) / (x * y) = y \ 1.
x * y != z \ y | x = 1 / z.
x = 1 / (1 / x).
1 / (1 / x) = x.
x * L(y,z \ x,z) = z * ((z \ x) * y).
x * L(y,z,x / z) = (x / z) * (z * y).
x * (y * z) != (x * y) * u | L(z,y,x) = u.
(x * y) * z != x * (y * u) | L(u,y,x) = z.
(x * y) * L(z,y,x) != x * u | y * z = u.
(x * (y * z)) \ ((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 \ 1) * z | y * x = z.
(x \ 1) * y != z | x * z = y.
(x * y) \ ((x * (z \ 1)) * (z * y)) = a(x,z \ 1,z * y).
x * (y * (y \ z)) = u * (u \ (x * z)).
x * (x \ (y * z)) = y * (u * (u \ z)).
x != y \ (z * y) | x = T(z,y).
(x \ 1) * (y * x) = T(y,x).
(x \ 1) * y != x \ z | y = z.
x \ y != (x \ 1) * z | z = y.
(x * (y \ z)) \ ((x * (y \ 1)) * z) = a(x,y \ 1,z).
(x * (y \ 1)) \ (x * (y \ z)) = L(z,y \ 1,x).
((x * (y \ 1)) * z) / (y \ z) = R(x,y \ 1,z).
x \ (y \ x) = T(y \ 1,x).
T(x \ 1,y) = y \ (x \ y).
(x / (y * x)) * z = y \ z.
x \ y != z | x * z = y.
x * 1 = T(x,1).
((1 / x) * x) \ y = y.
R(1 / x,x,y) = y / (x * y).
R(x / y,y,x \ z) = z / (y * (x \ z)).
R((x / y) / z,z,y) = x / (z * y).
R(x / (y / z),y / z,z) = (x * z) / y.
x * y = R(z,x,y) \ ((z * x) * y).
R(x,y,z) \ ((x * y) * z) = y * z.
x != y * (z * (z \ u)) | x = y * u.
(x * y) * (y \ z) = R(x,y,y \ z) * z.
R(x,y,y \ z) * z = (x * y) * (y \ z).
x * y = (R(x,y,z) * (y * z)) / z.
(R(x,y,z) * (y * z)) / z = x * y.
R(x,y / z,z) * y = (x * (y / z)) * z.
(x * y) * z != u * (y * z) | R(x,y,z) = u.
T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z.
L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z.
R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z.
R(x,1 / y,z) * (y \ z) = (x * (1 / y)) * z.
x * y != z | ((z / u) * u) / y = x.
((x / y) * y) / z = x / z.
x * y != z | x \ (u * (u \ z)) = y.
x \ (y * (y \ x)) = 1.
x * y != z \ (u * z) | x \ T(u,z) = y.
x \ T(y,x \ 1) = y * (x \ 1).
x \ T(y,x \ 1) = y * ((x \ z) / z).
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
x * 1 != y * z | y \ x = 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.
(1 / x) * (x * y) != z | z = y.
x * (y * (y \ z)) != u | u = x * z.
x * (y * (y \ z)) != u | x * z = u.
(1 / x) * y != z | z = x \ y.
(1 / x) * y != z | x \ y = z.
x \ (x * y) != z | z = y.
x \ (x * (y \ (y * z))) != u | u = z.
(x / y) \ x != z | z = y.
(x * y) \ (x * (y * z)) != u | u = L(z,y,x).
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
(x \ 1) \ y != z | z = x * y.
(x \ 1) \ y != z | x * y = z.
x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x.
(x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x).
x * y != z * (z \ u) | u / y = x.
x / T(y,y \ x) = y \ x.
x * y != z * u | (u * T(z,u)) / y = x.
(x * T(y,x)) / x = y.
1 * x != y * 1 | x = y.
T(x,1) = x.
x * y != ((x * z) / u) * u | y = z.
T((x * y) / x,x) = y.
x * y != z | y * u != z | u = T(x,y).
x * y != z | y * u != z | T(x,y) = u.
x * y != y * z | T(x,y) = z.
x * y != z * x | T(z,x) = y.
x * y != y * T(z,y) | x = z.
x * T(y,x) != z * x | z = y.
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
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.
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
x \ (y * x) != z | z = T(y,x).
x \ (y * x) != z | T(y,x) = z.
x * T(x \ (y * x),z) = T(y,z) * x.
1 / (x / y) = y / x.
(x / y) \ z = (y / x) * z.
(x / y) * ((y / x) * z) = z.
(x / y) \ z != u | u = (y / x) * z.
(x / y) \ z != u | (y / x) * z = u.
R(x,y,z) * (y * z) != u | u = (x * y) * z.
R(x,y,z) * (y * z) != u | (x * y) * z = u.
T(x \ y,z) = T(T(y / x,z),x).
T(T(x / y,z),y) = T(y \ x,z).
T(R(x / y,z,u),y) = R(y \ x,z,u).
T(R(x / y,y,z),y * z) = (y * z) \ (x * z).
x * T(x \ y,z) = T(y / x,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
x != y | y / 1 = x.
x \ (x * y) != z * u | z \ y = u.
x * (x \ y) != z * u | z \ y = u.
x * y != (z * u) * K(u,z) | (u * z) / y = x.
(x * y) / T(y * x,K(x,y)) = K(x,y).
x * K(y \ x,y) = (y \ x) * y.
x * K(y,x / y) = y * (x / y).
x != y * T(z,y) | x = z * y.
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
(x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w.
(x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u.
x * y != x * z | z = y.
T(T((x * y) / x,z),x) = T(y,z).
T(x \ 1,y \ 1) != y * z | z = x \ (y \ 1).
T(x \ 1,y \ 1) != y * z | x \ (y \ 1) = z.
T(x,x \ y) * z = ((x \ y) \ y) * z.
(x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y).
(T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y).
(T(x,x \ 1) * y) \ (y * ((x \ 1) \ 1)) = K(y,x).
x != (T(y,y \ z) * u) \ (u * ((y \ z) \ z)) | x = K(u,(y \ z) \ z).
K(x,y) = K(x,(y \ 1) \ 1).
K(x,(y \ 1) \ 1) = K(x,y).
x / (y \ x) != z | z = y.
(x * y) / y != z | z = x.
((x * y) * z) / (y * z) != u | u = R(x,y,z).
((x * y) * z) / (y * z) != u | R(x,y,z) = u.
(x * 1) * (y * (x * 1)) = (x * y) * x.
x * (y * (x * 1)) = (x * y) * x.
x * (y * x) = (x * y) * x.
(x * y) * x = x * (y * x).
R(x,y,x) = x.
x != (y * z) * (u * (y * z)) | x = ((y * (z * u)) * y) * z.
((x * y) * z) * (x * y) = ((x * (y * z)) * x) * y.
((x * (y * z)) * x) * y = ((x * y) * z) * (x * y).
(x * y) * z != x * (y * u) | z = L(u,y,x).
x = L(x,y,x).
L(x,y,x) = x.
T(x * y,x) = y * x.
x * y = y * ((y \ x) * y).
x * ((x \ y) * x) = y * x.
x * (x / y) = (x / y) * (y * (x / y)).
(x / y) * (y * (x / y)) = x * (x / y).
R(x * (y * z),x,y) = (x * y) * z.
((x * (y * z)) * x) * y != u * (x * y) | (x * y) * z = u.
R(x * y,x,z) = (x * z) * (z \ y).
R(x * (y * z),x,z) = (x * z) * T(y,z).
x != (y / z) * z | x = y.
T(x * (y / x),x) = y.
T(x,y) = (y \ x) * y.
(x \ y) * x = T(y,x).
T(L(x * y,z,u),x) = L(y * x,z,u).
T(x * y,y) = T(x,y) * y.
T(x,y) * y = T(x * y,y).
T(x,y) / y = y \ x.
x * y != T(z / u,u) | (u \ z) / y = x.
(x \ y) / x = x \ (y / x).
x * y != (z \ u) * z | x \ T(u,z) = y.
x \ T(y,x) = T(x \ y,x).
a(x,y,z) * (x * (y * z)) = T((x * y) * z,x * (y * z)).
T((x * y) * z,x * (y * z)) = a(x,y,z) * (x * (y * z)).
(x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z.
L(T(x,y),y,x) = T(x,x * y).
(x * (y \ z)) \ (x * z) = L(T(y,y \ z),y \ z,x).
L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y).
(x * (y * z)) / L(T(y,z),z,x) = x * z.
T(x / (x / y),x / y) = y.
x / 1 != y | y = x.
(x / y) * y != z | z = x.
(x \ 1) * y != z | z = x \ y.
(x \ 1) * y != z | x \ y = z.
x * y != z | (x \ 1) \ y = z.
(x / y) * z != u | (y / x) \ z = u.
x / y != z | (y / x) \ 1 = z.
T(x,y) = L(T(x,y),z,x).
L(T(x,y),z,x) = T(x,y).
x != L(T(y,z),z,y) | x = T(y,y * z).
T(x,y) = T(x,x * y).
T(x,x * y) = T(x,y).
x != T(y,z) | x = L(T(y,z),u,y).
T(x,x * y) = L(T(x,y),z,x).
L(T(x,y),z,x) = T(x,x * y).
T(x,y) = T(x,x \ y).
T(x,x \ y) = T(x,y).
T(x * y,x * (y * z)) = T(x * y,L(z,y,x)).
x != L(T(y,z),u,w) | x = T(L(y,u,w),z).
T(x,x * y) = T(L(x,z,x),y).
T(L(x,y,x),z) = T(x,x * z).
R(T(x,x * y),z,u) = L(R(T(x,y),z,u),w,x).
L(R(T(x,y),z,u),w,x) = R(T(x,x * y),z,u).
(x * y) * T(T(x,x * z),u) = x * (y * T(T(x,z),u)).
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.
T(x,y) * (x * (T(x,y) \ z)) = x * z.
T(x / y,z) * x = (x / y) * (T(x / y,z) * y).
(x / y) * (T(x / y,z) * y) = T(x / y,z) * x.
T(x,y) * (z * x) = x * (T(x,y) * T(z,x)).
x * (T(x,y) * T(z,x)) = T(x,y) * (z * x).
(x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z).
(x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z).
x * y != z * 1 | x \ z = y.
T(x,y) \ x = x * (T(x,y) \ 1).
x * (T(x,y) \ 1) = T(x,y) \ x.
x * y != T(z,u) * (z * (T(z,u) \ w)) | x \ (z * w) = y.
(x * (T(x,y) \ z)) \ (x * z) = T(T(x,y),x * (T(x,y) \ z)).
T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z).
T(x,y) * z != x * u | T(x,y) * (x \ z) = u.
x != T(y,y \ z) | x = (y \ z) \ z.
T(x,y) = (x \ y) \ y.
(x \ y) \ y = T(x,y).
T(T(x,y),z) = T(T(x,z),x \ y).
T(T(x,y),x \ z) = T(T(x,z),y).
(x \ y) * T(x,y) = y.
x != T(R(y,z,u),w) | x = R(T(y,w),z,u).
(R(x,y,z) \ u) \ u = R(T(x,u),y,z).
x / T(y,x) = y \ x.
(x \ y) \ y != z | z = T(x,y).
(x \ y) \ y != z | T(x,y) = z.
T(x,y) = T(T(x,y),x).
T(T(x,y),x) = T(x,y).
T(L(x,y,z),x) = L(x,y,z).
T(x,L(x,y,z)) = x.
x != T(y,z) | x = (y \ z) \ z.
L(x,y,z) = (L(x,y,z) \ x) \ x.
(L(x,y,z) \ x) \ x = L(x,y,z).
x * y != T(L(z,u,w),z) | L(z,u,w) / y = x.
L(x,y,z) / x = x \ L(x,y,z).
x / L(x,y,z) = L(x,y,z) \ x.
x / L(x,y,z) != u | u = L(x,y,z) \ x.
x / L(x,y,z) != u | L(x,y,z) \ x = u.
x != y \ 1 | x = z / (y * z).
T(x,y) / (x * y) = z / (y * z).
(x \ 1) * (y * x) != z | z = T(y,x).
(x \ 1) * (y * x) != z | T(y,x) = z.
(x \ y) * x != z | z = T(y,x).
(x \ y) * x != z | T(y,x) = z.
(T(x,y) / y) \ x = T(y,x).
(x * y) * a(x,z,z \ y) = (x * z) * (z \ y).
(x * T(x \ y,z)) / x = T(y / x,z).
x * (y * L(z,u,w)) != (x * y) * v5 | L(L(z,y,x),u,w) = v5.
(x * y) * z != x * (y * L(u,w,v5)) | L(L(u,y,x),w,v5) = z.
x \ y = T(y / x,y).
T(x / y,x) = y \ x.
T((x * y) / (z * y),z) = R(z \ x,z,y).
T(x / (y * z),y) = R(y \ (x / z),y,z).
R(x \ (y / z),x,z) = T(y / (x * z),x).
x * R(x \ y,z,u) = R(y / x,z,u) * x.
R(x / y,z,u) * y = y * R(y \ x,z,u).
R((x * y) / x,z,u) * x = x * R(y,z,u).
((x * y) / (z * y)) * z = z * R(z \ x,z,y).
(x * R(y,z,u)) / x = R((x * y) / x,z,u).
R(x,y,z) * x = x * R(x,y,z).
(((x * y) * z) / (x * z)) * x = x * R(y,x,z).
T(x,R(x,y,z)) = x.
(x \ R(x,y,z)) * x = R(x,y,z).
R(x,y,z) / x = x \ R(x,y,z).
T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u.
x * y != z * (u * (u \ (z \ w))) | x \ w = y.
(x * y) \ z = L(y \ (x \ z),y,x).
L(x \ (y \ z),x,y) = (y * x) \ z.
R(x,y,z) = (y * z) * (z \ (y \ x)).
(x * y) * (y \ (x \ z)) = R(z,x,y).
x * a(y,z,z \ (y \ x)) = (y * z) * (z \ (y \ x)).
x * y != (z * u) * (u \ (z \ w)) | x \ R(w,z,u) = y.
x \ R(x,y,z) = a(y,z,z \ (y \ x)).
a(x,y,y \ (x \ z)) = z \ R(z,x,y).
x * (y * (y \ 1)) != z * u | z \ x = u.
(x * y) \ x = L(y \ 1,y,x).
L(x \ 1,x,y) = (y * x) \ y.
x != 1 \ y | x = y.
K(x \ 1,x) = (x \ 1) * x.
(x \ 1) * x = K(x \ 1,x).
(x * y) \ ((x \ (x * y)) * x) = K(y,x).
x \ (y * T(y \ x,y)) = K(y \ x,y).
x != y \ ((z \ y) * z) | x = K(z \ y,z).
K(x,y) = K(y \ (y * x),y).
K(x \ (x * y),x) = K(y,x).
K(x,y) = K(z \ (z * x),y).
K(x \ (x * y),z) = K(y,z).
K((x / y) \ x,z) = K(y,z).
((x / y) * y) * z = ((x * z) / u) * u.
((x * y) / z) * z = ((x / u) * u) * y.
x * (((y / z) * z) * u) = x * (y * u).
1 * x != (y * z) * L(u,z,y) | x = y * (z * u).
L(x,y,1 / y) = (1 / y) * (y * x).
(1 / x) * (x * y) = L(y,x,1 / x).
((x / y) * y) * z != u * w | (x * z) / w = u.
((x / y) * y) * z != u | u = x * z.
((x / y) * y) * z != u | x * z = u.
((x / y) \ x) * z != u | y * z = u.
L(x,y \ 1,y) = y * ((y \ 1) * x).
x * ((x \ 1) * y) = L(y,x \ 1,x).
x * y = L((x \ 1) \ y,x \ 1,x).
L((x \ 1) \ y,x \ 1,x) = x * y.
x \ L(y,x \ 1,x) = (x \ 1) * y.
x * (y * (x \ 1)) = L(T(y,x \ 1),x \ 1,x).
L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)).
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 * 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) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z).
(x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y).
(x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z).
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u).
L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
(x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)).
L(L(x,y,z) / x,x,u) = (u * x) \ (u * L(x,y,z)).
K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y).
((x \ 1) \ 1) * K(x \ 1,x) = x.
x * K(x \ 1,x) = L(x,x \ 1,x).
K(T(x,y),x) = 1.
x != T(y,z) | x = (z \ y) * z.
T(x,y) = (x \ T(x,y)) * x.
(x \ T(x,y)) * x = T(x,y).
x * y != T(T(z,u),z) | T(z,u) / y = x.
T(x,y) / x = x \ T(x,y).
(T(x,y) \ x) * T(x,y) = x.
x != y \ z | x = (1 / y) * z.
T(x,y) / x = (1 / x) * T(x,y).
(1 / x) * T(x,y) = T(x,y) / x.
x * (T(x,y) / x) = T(x,y).
R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z).
T(x,y) * z != x * y | T(y,T(x,y)) = z.
T(x,T(y,x)) = y * (T(y,x) \ x).
x * (T(x,y) \ y) = T(y,T(x,y)).
x * y != x | T(1,x) = y.
T(1,x) = 1.
x != y | x = L(y,z,y).
1 / (1 / x) = L(x,y,x).
L(x,y,x) = 1 / (1 / x).
K((x / y) \ 1,z) = K(y / x,z).
K((x \ 1) \ 1,y) = K(x,y).
K(x \ 1,y) = K(1 / x,y).
K(1 / x,y) = K(x \ 1,y).
L(x \ ((y \ 1) \ z),x,y \ 1) = (y \ x) \ z.
(x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)).
L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z.
L(x \ (y * z),x,y \ 1) = (y \ x) \ z.
(x * y) * L(y \ 1,y,x) = x.
L((x \ y) \ 1,x \ y,x) = y \ x.
L(x \ 1,x,y / x) = y \ (y / x).
(x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)).
(x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)).
L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y).
R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x.
x != T(y,z) | x = T(y,y \ z).
R(T(x,y),z,T(x,y)) = T(x,x \ y).
x != y | x = (y \ 1) \ 1.
R(x,y,x) = (x \ 1) \ 1.
x * y != R(z,u,z) | x \ z = y.
(x * y) \ y = y \ (x \ y).
x != y \ R(y,z,u) | x = a(z,u,u \ (z \ y)).
R(x,y,z) / x = a(y,z,z \ (y \ x)).
a(x,y,y \ (x \ z)) = R(z,x,y) / z.
a(x,(x \ y) / z,z) = R(y,x,(x \ y) / z) / y.
x * T(y,z) = T((x * y) / x,z) * x.
T((x * y) / x,z) * x = x * T(y,z).
T(R(x / y,y,z),u) * (y * z) = (y * z) * T((y * z) \ (x * z),u).
R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x.
x != (y * z) \ y | x = L(z \ 1,z,y).
1 / x = L(x \ 1,x,1 / x).
L(x \ 1,x,1 / x) = 1 / x.
x != (y * z) \ (y * (u * z)) | x = L(T(u,z),z,y).
(1 / x) * (y * x) = L(T(y,x),x,1 / x).
L(T(x,y),y,1 / y) = (1 / y) * (x * y).
L(T(x,y),y,y \ 1) = (1 / y) * (x * y).
(x * y) / L(z,y / z,x) = x * (y / z).
x / L(y,1 / y,x) = x * (1 / y).
(x * y) / x = x * (y / x).
x * y != z | T(y * x,y) = z.
T(x,x \ y) != z | T(x,y) = z.
(x \ y) * z != y | T(x,x \ y) = z.
T(x,x \ T(x,y)) = x.
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(y / z,z) | x = z \ y.
L(T(x \ 1,x),x,1 / x) = x \ 1.
x != L(T(y,z),z,1 / z) | x = (1 / z) * (y * z).
x \ 1 = (1 / x) * ((x \ 1) * x).
(1 / x) * ((x \ 1) * x) = x \ 1.
(1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1.
(1 / x) * K(x \ 1,x) = x \ 1.
(1 / x) * y != x \ z | y = z.
K(x \ 1,x) = 1.
K(x,x \ 1) = 1.
T(x,K(y \ 1,y)) = x.
x != T(y * z,y) | x = z * y.
K(x \ 1,x) * y = y * K(x \ 1,x).
x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)).
x != y / (z * y) | x = z \ 1.
R(1 / x,x,y) = x \ 1.
T(x / (y * x),z) = R(T(1 / y,z),y,x).
R(x,x \ 1,y) = y / ((x \ 1) * y).
x != y \ 1 | x = (y \ z) / z.
R(1 / x,x,y) = (x \ z) / z.
T(x \ 1,y) = R(T(1 / x,y),x,z).
R(T(1 / x,y),x,z) = T(x \ 1,y).
R(x,x \ 1,y) = (x \ 1) \ 1.
R(1 / x,x,y) \ z = x * z.
T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z).
T((x * y) \ (z * y),u) = R(T(T(z / x,u),x * y),x,y).
R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z).
R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y).
T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y).
T(x,y) = R(T(x,y * x),y,x).
R(T(x,y * x),y,x) = T(x,y).
x != R(T(y,z),u,w) | x = T(R(y,u,w),z).
T(x,y) = T(R(x,y,x),y * x).
T(R(x,y,x),y * x) = T(x,y).
T(x,y * x) = T(x,y).
x != T(y,z) | x = T(y,y * z).
T(x,y * x) = T(x,x * y).
T(x,y) = T(x,y / x).
T(x,y / x) = T(x,y).
T(x,y \ x) = T(x,y \ 1).
T(x,y \ 1) = T(x,y \ x).
T(x,y \ 1) = T(x,x \ (y \ x)).
T(x,x \ (y \ x)) = T(x,y \ 1).
T(x * y,(x * y) \ y) = T(x * y,x \ 1).
T(x,y \ 1) != z | T(x,y \ x) = z.
L(T(x,y \ 1),z,x) != u | T(x,y \ x) = u.
x * y != L(z,u,w) * v5 | x \ (v5 * L(T(z,v5),u,w)) = y.
L(x,y,z) \ (u * L(T(x,u),y,z)) = u.
x * 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 * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x.
x * L(x \ y,z,u) = L(y / x,z,u) * x.
L(x / y,z,u) * y = y * L(y \ x,z,u).
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
(x \ y) \ y = R(T(x,y),z,x).
R(T(x,y),z,x) = (x \ y) \ y.
x != (y \ z) \ z | x = R(T(y,z),u,y).
R(T(x,y),z,x) = R(T(x,y),u,x).
(x * L(y,z,u)) / x = L((x * y) / x,z,u).
L(x / y,z,u) * y != w | w = y * L(y \ x,z,u).
L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w.
(x * ((y * x) \ z)) / x = L((y \ z) / x,x,y).
L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z.
x != (y * z) / y | x = y * (z / y).
L((x * y) / x,z,u) = x * (L(y,z,u) / x).
x * (L(y,z,u) / x) = L((x * y) / x,z,u).
(x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)).
x * (L(y,z,u) / x) = L(x * (y / x),z,u).
(x * (y * z)) * L(u,L(z,y,x),x * y) != (x * y) * w | L(z,y,x) * u = w.
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).
(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(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 * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z).
x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z).
(x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)).
x * y != z * T(u,z) | x \ (u * z) = y.
x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y).
(x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y).
L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y.
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
x != (y * z) * L((y * z) \ y,u,w) | x = y * (z * L(z \ 1,u,w)).
((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)).
(x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y.
(x * y) * L(y,z,u) = (x * L(x \ (x * y),z,u)) * y.
(x * L(x \ (x * y),z,u)) * y = (x * y) * L(y,z,u).
(x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u.
T(x,x * L(x \ 1,y,z)) = x.
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
(x * y) / L(y,z,u) = (x / L(y,z,u)) * y.
x * y != ((z / u) * u) * w | x \ (z * w) = y.
((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y.
(x * L(y,z,u)) / y != w | w = (x / y) * L(y,z,u).
(x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w.
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).
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).
R(x,1 / y,y) = (x * (1 / y)) * y.
(x * (1 / y)) * y = R(x,1 / y,y).
R(x / (1 / y),y \ 1,y) = x * y.
L(x * y,z,u) = (y \ L(y * x,z,u)) * y.
(x \ L(x * y,z,u)) * x = L(y * x,z,u).
R(T(1 / x,x * y),x,y) = (x * y) \ y.
T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y).
T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y).
x != T(y / z,u) * z | x = z * T(z \ y,u).
(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 \ (y \ x),z)) / (y \ x) = y * T(y \ 1,z).
x != y \ z | x = T(z,y) / y.
x / T(y,x) = T(x,y) / y.
T(x,y) / y = x / T(y,x).
x / T(x,y) = T(x,y) \ x.
x / L(y * x,z,u) = L(x * y,z,u) \ x.
L(x,y,z \ 1) = (z \ y) \ (z \ (y * x)).
(x \ y) \ (x \ (y * z)) = L(z,y,x \ 1).
L(x,y,z \ 1) * (z \ y) = T(z \ (y * x),z \ y).
L(x,y,(y * z) \ 1) * ((y * z) \ y) = T(L(z \ x,z,y),(y * z) \ y).
T(L(x \ y,x,z),(z * x) \ z) = L(y,z,(z * x) \ 1) * ((z * x) \ z).
x \ ((x / (y * z)) * (y * (z * u))) = L(L(u,z,y),y * z,x / (y * z)).
L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))).
(x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)).
(x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
x != (y * z) \ ((y \ (y * z)) * y) | x = K(z,y).
((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x).
T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y).
(x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x).
(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) \ (L(u,z,y / z) * y) | x = z * T(u,y).
K(x \ (x / y),x) = y * T(y \ 1,x).
x * y != (z / u) \ (L(u \ 1,u,z / u) * z) | x \ K(z \ (z / u),z) = y.
x \ K(y \ (y / x),y) = T(x \ 1,y).
x * T(x \ 1,y) != z | z = K(y \ (y / x),y).
x * T(x \ 1,y) != z | K(y \ (y / x),y) = z.
K(x \ (x / (y \ 1)),x) = y \ T(y,x).
K((x * y) \ x,x * y) = y * T(y \ 1,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 * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u).
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).
x != R(T(y,z * y),z,y) | x = T(y,z).
R(T(x,y * x),z,x) = T(x,y).
R(T(x,y),z,x) = T(x,y / x).
x * R(T(y,x * y),z,y) = y * x.
x != R(T(y,z),u,y) | x = (y \ z) \ z.
T(x,y / x) = (x \ y) \ y.
x != (y \ z) \ z | x = T(y,y \ z).
T(x,y / x) = T(x,x \ y).
T(x \ y,x) = ((x \ y) \ y) \ y.
T(x \ y,x) = T(x \ y,(x \ y) \ y).
T(x \ y,(x \ y) \ y) = T(x \ y,x).
T(x \ y,x) = T(x,x \ y) \ y.
T(x,x \ y) \ y = T(x \ y,x).
T(x \ y,x) = T(x,y) \ y.
L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y).
T(x \ y,T(x,y)) = T(x \ y,x).
x \ (y * T(y \ x,T(y,x))) = K(y \ x,y).
R(x,x \ y,y \ z) = z / ((x \ y) * (y \ z)).
T(L(L(x,y,x),z,u),w) = L(T(x,x * w),z,u).
T(L(L(x,y,x),z,u),w) = T(L(x,z,u),x * w).
T(L(L(x,y,z),u,x),w) = T(L(x,y,z),x * w).
(x * y) * T(L(x,z,u),x * w) = x * (y * T(L(x,z,u),w)).
x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y).
x * (L(x,y,z) * u) = L(x,y,z) * (x * u).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u.
x * y != z * (u * (u \ w)) | x \ (z * w) = y.
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
T(x / (y * z),u) * (y * z) = (T((x / z) / y,u) * y) * z.
(T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y).
(x * T(y,z)) / x = T((x * y) / x,z).
(x * (y \ z)) / x = T((x * (z / y)) / x,y).
T((x * (y / z)) / x,z) = (x * (z \ y)) / x.
x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x.
((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x).
((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x).
x * (y \ x) = (x / y) * x.
(x / y) * x = x * (y \ x).
K(T(x / (x / y),x),z) = K(y,z).
((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u.
((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w.
(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 * R(z / u,u,w)) / y) * (u * w) | x = (u * w) * ((y * ((u * w) \ (z * w))) / y).
(((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y.
(x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y.
(((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y.
(x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u.
(x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)).
x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y.
x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)).
(x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)).
x != y * (z * ((y * (z \ (y \ u))) / y)) | x = (y * ((u / z) / y)) * z.
(x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
(x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y.
x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y.
(x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u.
x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)).
(x / y) * (y * T(y \ x,z)) = T(x / y,z) * x.
T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x.
1 * x != y * z | x / z = y.
(x / y) * y != z * u | x / u = z.
x * (x \ y) != z * u | y / u = z.
(x / y) \ x != z * u | y / u = z.
x \ (x * y) != z * u | y / u = z.
x != 1 | x = K(y,y \ 1).
K(x,x \ 1) = K(y,y \ 1).
x != 1 | x = K(y \ 1,y).
K(x,x \ 1) = K(y \ 1,y).
K(x \ 1,x) = K(y,y \ 1).
x * y != K(z,z \ 1) | x \ 1 = y.
(x \ 1) \ 1 = x * K(y,y \ 1).
x * K(y,y \ 1) = (x \ 1) \ 1.
1 / x = x \ K(y,y \ 1).
x \ K(y,y \ 1) = 1 / x.
x != L(T((y \ 1) \ z,u),y \ 1,y) | x = T(y * z,u).
x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1).
x != (y * z) * T((y * z) \ u,w) | x = y * (z * T(z \ (y \ u),w)).
T(R(x / y,y,z),u) * (y * z) = y * (z * T(z \ (y \ (x * z)),u)).
x != T(R(y,z,u),w) * (z * u) | x = (T(y,w) * z) * u.
x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y.
x * (y * T(y \ (x \ z),u)) = (T((z / y) / x,u) * x) * y.
(T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)).
x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y.
x != y * (z * T(z \ (y \ u),w)) | x = (y * z) * T((y * z) \ u,w).
(x * T(x \ y,z)) * u = (x * u) * T((x * u) \ (y * u),z).
(x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y.
x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y.
x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y.
(x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)).
(x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z.
((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)).
(x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y.
(x * y) * T(y,z) = (x * T(x \ (x * y),z)) * y.
(x * T(x \ (x * y),z)) * y = (x * y) * T(y,z).
(x * T(y,z)) * y = (x * y) * T(y,z).
x * y = ((x / T(y,z)) * y) * T(y,z).
((x / T(y,z)) * y) * T(y,z) = x * y.
(x * y) / T(y,z) = (x / T(y,z)) * y.
x != ((y / z) * z) * u | x = y * u.
((x / y) * T(y,z)) * y = x * T(y,z).
(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 != z * T(u,z) | (u * z) / y = x.
(x * y) / x = (y / x) * T(x,y).
(x / y) * T(y,x) = (y * x) / y.
T(x,y) * z != (x * y) / x | T(y / x,T(x,y)) = z.
T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y).
T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)).
x != (y / (z \ y)) * u | x = z * u.
((x \ y) * y) / (x \ y) = x * T(x \ y,y).
(x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z).
(x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y).
(x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z.
(x * y) * ((z * 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 * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z.
T(x,x * T(x \ 1,y)) = x.
((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)).
x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y.
((x \ (y / z)) * x) * z = (x * z) * T((x * z) \ y,x).
(x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y.
x != (y * z) * T((y * z) \ y,u) | x = y * (z * T(z \ 1,u)).
((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)).
x != R(y,z,u) * (z * u) | x = (y * z) * u.
(x * y) * R(T(z,x * y),x,y) = (z * x) * y.
(x * y) * R(L(T(x,y),z,x),u,w) = R(x,u,w) * (x * y).
x * T(T(y,x),z) != u | T(y,z) * x = u.
K(x \ 1,x) * y != z | y * K(x \ 1,x) = z.
x * T(x \ (y * x),z) != u | T(y,z) * x = u.
x * (1 / x) = K(y,y \ 1).
K(x,x \ 1) = y * (1 / y).
K(x,1 / x) = y * (1 / y).
L(x,y,z) \ K(u,u \ 1) = x * (L(x,y,z) \ (1 / x)).
(x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z).
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 * y != (z * x) * R(T(u,z * x),z,x) | T(u * z,x) = y.
(x * y) * R(T(z,x * y),x,y) != y * u | T(z * x,y) = u.
x != (y / z) * T(z,y) | x = (z * y) / z.
x \ T(x * y,y) = ((x * y) * y) / (x * y).
((x * y) * y) / (x * y) = x \ T(x * y,y).
T(1 / (1 / x),y) = L(T(x,y),z,x).
R(1 / (1 / x),y,z) = L(R(x,y,z),u,x).
R(x,x \ 1,y) \ z = (x \ 1) * z.
(x / y) * ((y \ x) \ y) = T(y,T(x / y,y)).
(x / y) * ((y \ x) \ y) = T(y,y \ x).
((x * y) / x) * (y \ x) = T(x,x \ (x * y)).
((x * y) / x) * (y \ x) = T(x,y).
T(x,y) / (y \ x) = (x * y) / x.
(x / (x / y)) * (y \ (x / y)) = T(x / y,y).
((x * (x / y)) / x) * y = T(x,x / y).
((x * R(1 / y,y,z)) / x) * (y * x) = T(x,R(1 / y,y,z)).
x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y).
T(x,x / y) = y * ((x * (y \ x)) / x).
x * ((y * (x \ y)) / y) = T(y,y / x).
x * y != z * ((u * (z \ u)) / u) | x \ T(u,u / z) = y.
x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x).
(x / y) * ((x * y) / x) = T(x,x / (x / y)).
T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z.
(x / T(y,x)) * y = T(x,x / (x / T(y,x))).
T(x,x / (x / T(y,x))) = (x / T(y,x)) * y.
T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x).
((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y.
T(x,x / (x / T(y,x))) * T(y,x) = x * y.
x * (x * y) = T(x,x / (x / T(y,x))) * (y * x).
T(x,x / (x / T(y,x))) * (y * x) = x * (x * y).
(x * (x * y)) / (y * x) = T(x,x / (x / T(y,x))).
T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x).
x * ((x * y) / x) = T(x,x / (x / y)) * y.
T(x,x / (x / y)) * y = x * ((x * y) / x).
T(x,x / (x / y)) * (x \ y) = (x * y) / x.
((x * y) / x) / (x \ y) = T(x,x / (x / y)).
T(x * y,x) / y = ((x * y) * x) / (x * y).
((x * y) * x) / (x * y) = T(x * y,x) / y.
(x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)).
(x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)).
(x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)).
x != (y \ z) * T((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)).
K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))).
x \ (y * T(y \ x,T(y,x))) = K(T(x / y,T(y,x)),T(y,x)).
(((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)).
(x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)).
(x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)).
T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x.
x != (y \ T(y,z)) * y | x = T(y,z).
T(x,R(1 / y,y,x)) = T(x,x / (x * y)).
T(x,y \ 1) = T(x,x / (x * y)).
T(x,x / (x * y)) = T(x,y \ 1).
(x * ((x / y) / x)) * y = T(x,y \ 1).
x \ T(x,y \ 1) = y * ((x * (y \ 1)) / x).
x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)).
x * y != T((z * u) / z,z) | u / y = x.
x / (y \ ((y * x) / y)) = (y * x) / ((y * x) / y).
(x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)).
x != L(y,z,y) | x = 1 / (1 / y).
x * K(x \ 1,x) = 1 / (1 / x).
(x * (1 / y)) * T(L(y,1 / y,x),x) = (L(y,1 / y,x) * x) / L(y,1 / y,x).
(L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y).
x != (y * z) * T(L(u,z,y),w) | x = y * (z * T(u,w)).
(L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)).
(L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x).
x * (y * ((x \ z) / z)) = T(y,x \ 1).
x * (y * (z / (x * z))) = T(y,x \ 1).
x * y != T(x * z,x \ 1) | y = ((x \ 1) \ z) * (x \ 1).
(x * y) * (z / (x * z)) = ((x \ 1) \ y) * (x \ 1).
((x \ 1) \ y) * (x \ 1) = (x * y) * (z / (x * z)).
x * y != x * R(z,x,u) | T(((x * z) * u) / (x * u),x) = y.
T(((x * y) * z) / (x * z),x) = R(y,x,z).
(x \ T(x * y,y)) * x = x * R(y,x,y).
K(x \ 1,x) \ 1 = K(x,x \ 1).
(x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)).
x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x.
T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y).
T(R(x / (1 / y),1 / y,y),z) / y = (1 / y) * T((1 / y) \ x,z).
T(x * y,z) / y = (1 / y) * T((1 / y) \ x,z).
(1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x.
x != y * T(y \ z,u) | x = z * K(u \ (u / (z \ y)),u).
T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z).
(1 / x) * T((1 / x) \ 1,y) = 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.
x * y != (z * (z \ 1)) * u | x \ u = y.
((x \ 1) * x) \ x = T(x,x \ 1).
K(x \ 1,x) \ x = T(x,x \ 1).
K(x \ 1,x) * T(x,x \ 1) = 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 * (((y * x) / y) * z) = ((y * x) / y) * (x * z).
((x * y) / x) * (y * z) = y * (((x * y) / x) * z).
x \ ((y * x) / y) = ((y * x) / y) * (x \ 1).
((x * y) / x) * (y \ 1) = y \ ((x * y) / x).
((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z).
x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z).
(x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z).
x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z).
x * ((x * (T(y,x) / y)) \ z) = (x * (T(y,x) / y)) \ (x * z).
(x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z).
(x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z).
(x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z).
K(x,(y * x) / y) = 1.
T(x,(y * x) / y) = x.
T(x,y * T(y \ x,x)) = x.
T(x,x * (y * T(y \ 1,x))) = x.
T(x,x * (y \ (z * T(z \ y,x)))) = x.
T(x,x * K(y,x)) = x.
x != T(y,y * z) | x = T(y,z).
x = T(x,K(y,x)).
T(x,K(y,x)) = x.
K(x,y) * y = y * K(x,y).
T(x,y \ T(y,x)) = x.
K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u.
(x \ T(x,y)) * y = y * (x \ T(x,y)).
K(x,x \ 1) * y = K(x \ 1,x) \ y.
K(x \ 1,x) \ y = K(x,x \ 1) * y.
x != K(y \ 1,y) \ y | x = T(y,y \ 1).
K(x,x \ 1) * x = T(x,x \ 1).
K(x,x \ 1) * x = (x \ 1) \ 1.
K(x \ 1,x) * y = (y \ 1) \ 1.
K(x,K(y \ 1,y) * z) = K(x,z).
K(x,x \ 1) * y = T(y,y \ 1).
T(x,x \ 1) = K(y,y \ 1) * x.
R(x,x \ 1,y) = z / ((x \ 1) * z).
K(R(x,x \ 1,y),z) = K(x,z).
((x * R(y,y \ 1,z)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,z)).
(((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)).
(x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)).
x * y != T(y,z) | x = y \ T(y,z).
x \ ((y * x) / y) = y \ T(y,R(x,x \ 1,y)).
x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x).
(T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)).
T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x.
T(x,y \ ((x * y) / x)) = x.
T(x,T(y,x) \ y) = x.
(T(x,y) \ x) * y = y * (T(x,y) \ x).
x != (T(y,z) \ y) * z | x = T(z,R(T(y,z),T(y,z) \ 1,z)).
x * (T(y,x) \ y) = T(x,R(T(y,x),T(y,x) \ 1,x)).
T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y).
T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y.
(T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y.
x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x.
(x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z).
(x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u).
(x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z).
(x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y.
((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x).
(x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y.
(x * (y * T(y \ z,u))) / z = ((x * y) / z) * T(((x * y) / z) \ x,u).
((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z.
(x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w).
T(x / (x / y),(z / (x / y)) \ z) = y.
x != T(y,y \ 1) | x = K(z,z \ 1) * y.
x = K(y,y \ 1) * (1 / (1 / x)).
K(x,x \ 1) * (1 / (1 / y)) = y.
x * y != T(z / (z / u),(w / (z / u)) \ w) | x \ u = y.
K(x,x \ 1) \ y = 1 / (1 / y).
T(x,1) != y | y = x.
(x \ y) \ T(y,x \ 1) = T((x \ y) \ y,x \ y).
T((x \ y) \ y,x \ y) = (x \ y) \ T(y,x \ 1).
(x \ T(y,x)) * x = T((x \ y) * x,x).
x * y != (z \ T(u,z)) * z | x \ T((z \ u) * z,z) = y.
T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y).
T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x).
(x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)).
(x * (y * (1 / y))) * y = (x * y) * (y * L(y \ 1,y,1 / y)).
(x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y.
(x * y) * (y * (1 / y)) = (x * (y * (1 / y))) * y.
(x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)).
(x * K(y,y \ 1)) * z = (x * z) * (z * (1 / z)).
(x * K(y,y \ 1)) * z = (x * z) * K(u,u \ 1).
x * y != ((z / u) * u) * w | (z * w) / y = x.
(x * K(y,y \ 1)) / z = (x / z) * K(u,u \ 1).
x != T(y,z) / y | x = y \ T(y,z).
(1 / x) * T((1 / x) \ 1,y) = x \ T(x,y).
(T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(u,u \ 1).
T(x / (y * (1 / y)),z) * K(u,u \ 1) = (T((x / (1 / y)) / y,z) * y) * (1 / y).
T(x / K(y,y \ 1),z) * K(u,u \ 1) = (T((x / (1 / w)) / w,z) * w) * (1 / w).
K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = (T((y / (1 / u)) / u,z) * u) * (1 / u).
x != (T((y / z) / u,w) * u) * z | x = u * (z * T(z \ (u \ y),w)).
K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = u * ((1 / u) * T((1 / u) \ (u \ y),z)).
K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = u * (T((u \ y) * u,z) / u).
T((x / y) * K(z,z \ 1),y) = y \ (x * K(u,u \ 1)).
K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)).
T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z).
x * y != z * (x * T(x \ (z \ u),w)) | T(z * T(z \ (u / x),w),x) = y.
T(x * T(x \ (y / z),u),z) = z \ (x * (z * T(z \ (x \ y),u))).
x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x).
K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)).
(x \ L(y,z,u)) * x = L((x \ y) * x,z,u).
K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)).
x * y != L(R((z \ u) \ w,v5,v6),z \ u,z) | x \ R(u \ (z * w),v5,v6) = 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 * 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 \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u).
(x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u).
((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x.
K(x,1 / x) \ (y * ((1 / y) * z)) = L(z,1 / y,y).
K(x,1 / x) \ (y * (T(y,z) / y)) = L(T(y,z),1 / y,y).
x != L(T(y,z),u,y) | x = T(1 / (1 / y),z).
K(x,1 / x) \ (y * (T(y,z) / y)) = T(1 / (1 / y),z).
K(x,1 / x) * T(1 / (1 / y),z) = y * (T(y,z) / y).
K(x,x \ 1) * T(1 / (1 / y),z) = y * (T(y,z) / y).
K(x,x \ 1) * T(K(y,y \ 1) \ z,u) = z * (T(z,u) / z).
x != y * (T(y,z) / y) | x = T(y,z).
K(x,x \ 1) * T(K(y,y \ 1) \ z,u) = T(z,u).
T(x,y) * K(z,z \ 1) = T(x * K(z,z \ 1),y).
x * y != K(z,z \ 1) * T(K(u,u \ 1) \ w,v5) | x \ T(w,v5) = y.
x \ T(y,z) = T((x \ y) * x,z) / x.
T((x \ y) * x,z) / x = x \ T(y,z).
(x \ T(y,z)) * x = T((x \ y) * x,z).
T(x \ T(y,z),x) = x \ T((x \ y) * x,z).
x \ T((x \ y) * x,z) = T(x \ T(y,z),x).
T(x,y) / z = z \ T(z * (x / z),y).
x \ T(x * (y / x),z) = T(y,z) / x.
(x \ T(x * y,z)) * x = T(y * x,z).
x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x.
(x \ y) * x = T((x \ y) * x,y).
T((x \ y) * x,y) = (x \ y) * x.
x * (T(y,z) / x) = T(x * (y / x),z).
x * (y / x) = T(x * (y / x),y).
T(x * (y / x),y) = x * (y / x).
x * y != T(z * x,u) | T(x \ T(x * z,u),x) = y.
T(x \ T(x * y,z),x) = x \ T(y * x,z).
x != (y \ T(y * z,z)) * y | x = y * R(z,y,z).
T(x * y,x) = y * R(x,y,x).
x * R(y,x,y) = T(y * x,y).
x \ T(y * x,y) != z | z = R(y,x,y).
x \ T(y * x,y) != z | R(y,x,y) = z.
x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x.
((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x).
(x \ y) * K(z,z \ 1) = T((y / x) * K(z,z \ 1),x).
T((x / y) * K(z,z \ 1),y) = (y \ x) * K(z,z \ 1).
x != T((y / z) * K(u,u \ 1),z) | x = z \ (y * K(w,w \ 1)).
(x \ y) * K(z,z \ 1) = x \ (y * K(u,u \ 1)).
x \ (y * K(z,z \ 1)) = (x \ y) * K(u,u \ 1).
x * ((x \ y) * K(z,z \ 1)) = y * K(u,u \ 1).
x * K(y,y \ 1) = z * ((z \ x) * K(u,u \ 1)).
(x * y) * K(z,z \ 1) = x * (y * K(u,u \ 1)).
L(K(x,x \ 1),y,z) = K(u,u \ 1).
(x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1).
x * K(y,y \ 1) != (z * K(u,u \ 1)) * w | x = z * w.
(x * K(y,y \ 1)) * z = x * ((z \ 1) \ 1).
x != K(y,y \ 1) | x = K(z \ 1,z).
L(K(x,x \ 1),y,z) = K(u \ 1,u).
L(K(x \ 1,x),y,z) = K(u \ 1,u).
T(x,L(K(y,y \ 1),z,u)) = x.
(x * y) * K(z \ 1,z) = x * (y * K(u \ 1,u)).
x != y * (z * K(u \ 1,u)) | x = y * (K(u \ 1,u) * z).
(x * y) * K(z \ 1,z) = x * (K(u \ 1,u) * y).
(x * ((y \ 1) \ 1)) * K(z \ 1,z) = x * y.
(x * (1 / y)) * K(z \ 1,z) = x * (y \ 1).
x != y * K(z \ 1,z) | x = K(z \ 1,z) * y.
x * (K(y \ 1,y) * z) = K(u \ 1,u) * (x * z).
K(x \ 1,x) * (y * z) = y * (K(u \ 1,u) * z).
K(x \ 1,x) * y = z * (K(u \ 1,u) * (z \ y)).
(K(x \ 1,x) * y) \ (z * (K(u \ 1,u) * y)) = L(T(z,y),y,K(x \ 1,x)).
K(x \ 1,x) * (y * T(z,z \ 1)) = y * z.
K(x \ 1,x) * (y * z) = y * (1 / (1 / z)).
T(x,K(y \ 1,y) * z) = L(T(x,z),z,K(y \ 1,y)).
L(T(x,y),y,K(z \ 1,z)) = T(x,K(z \ 1,z) * y).
x * K(y \ 1,y) = (x / (1 / z)) * (z \ 1).
(x / (1 / y)) * (y \ 1) = x * K(z \ 1,z).
x * (y \ 1) = K(z \ 1,z) * (x * (1 / y)).
K(x \ 1,x) * (y * (1 / z)) = y * (z \ 1).
x != (y / (z / u)) * (u \ z) | x = (y * (u \ z)) / (z / u).
x * K(y \ 1,y) = (x * (z \ 1)) / (1 / z).
(x * (y \ 1)) / (1 / y) = x * K(z \ 1,z).
R(x * K(y \ 1,y),z \ 1,z) = (x * (z \ 1)) * z.
R(((x \ (x / (y \ 1))) * x) * K(z \ 1,z),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y.
K(x,x \ 1) * y = z * (K(u \ 1,u) * (z \ y)).
K(x,x \ 1) * y = z * (K(u,u \ 1) * (z \ y)).
K(x,x \ 1) * (y * z) = y * (K(u,u \ 1) * z).
K(x,x \ 1) * (y * z) = y * T(z,z \ 1).
x != (y * z) \ (z * y) | x = K(z,y).
L(x \ T(x,y),x,y) = K(x,y).
T((x * y) \ (z * x),u) = L(T(y \ T(z,x),u),y,x).
L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u).
x * R(T(y,y * x),z,u) = L(R(y,z,u),w,y) * x.
L(R(x,y,z),u,x) * w = w * R(T(x,x * w),y,z).
x * y != y * R(T(z,y * z),u,z) | x = z.
L(R(x,y,x),z,x) = x.
x != L(R(y,z,u),w,v5) | x = R(L(y,w,v5),z,u).
x = R(L(x,y,x),z,x).
R(L(x,y,x),z,x) = x.
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).
(1 / x) * (x * y) = L(y,x,x \ 1).
(1 / x) \ L(y,x,x \ 1) = x * y.
(x \ (y * z)) \ ((x \ y) * z) = a(1 / x,y,z).
(x \ (y * z)) \ ((x \ y) * z) = a(x \ 1,y,z).
x != (y / z) \ y | x = z.
(1 / (1 / x)) * (x * (1 / x)) = x.
(1 / (1 / x)) * K(y,y \ 1) = x.
(x * (1 / (1 / y))) * K(z,z \ 1) = x * y.
(x * K(y,y \ 1)) / z = x / (1 / (1 / z)).
x != (y * K(z,z \ 1)) / u | x = (y / u) * K(w,w \ 1).
x / (1 / (1 / y)) = (x / y) * K(z,z \ 1).
(x / y) * K(z,z \ 1) = x / (1 / (1 / y)).
R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y.
x != R(y / z,u,w) * z | x = z * R(z \ y,u,w).
(R(x / y,z,u) * y) * w = (y * w) * R((y * w) \ (x * w),z,u).
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y.
T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u).
x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x).
x != (y * z) * R((y * z) \ 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(y,z,u) = (x * R(x \ (x * y),z,u)) * y.
(x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u).
x != (y \ 1) * (y * R(y \ ((y \ 1) \ z),u,w)) | x = K(y \ 1,y) * R(K(y \ 1,y) \ z,u,w).
((x \ 1) * R((x \ 1) \ y,z,u)) * x = K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u).
K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x.
K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x.
K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x.
K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x.
(x * R(y,z,u)) * y = (x * y) * R(y,z,u).
(x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y.
T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)).
R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y).
(x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u).
T(x * y,x) * T(x,y) = (x * y) * R(x,y,x).
x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)).
(x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z).
(x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y).
(x / y) * K(y \ 1,y) = x * T(x \ (x / y),y).
((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)).
((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)).
((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y).
((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y).
(x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y).
x * K(y \ 1,y) != z * u | x = z * ((u \ 1) \ 1).
x * y = (x * K(y \ 1,y)) * ((y \ 1) \ 1).
(x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y.
x * y != z * ((y \ 1) \ 1) | x = z * K(u,u \ 1).
x = (x * K(y \ 1,y)) * K(z,z \ 1).
(x * K(y \ 1,y)) * K(z,z \ 1) = x.
x * y = (x * K(z \ 1,z)) * ((y \ 1) \ 1).
(x * K(y \ 1,y)) * ((z \ 1) \ 1) = x * z.
(x * y) * K(z \ 1,z) = (x * K(u \ 1,u)) * y.
(x * K(y \ 1,y)) * z = (x * z) * K(u \ 1,u).
(x * K(y \ 1,y)) * z = K(u \ 1,u) * (x * z).
K(x \ 1,x) * (y * z) = (y * K(u \ 1,u)) * z.
x * y != (z * (z \ u)) * w | x \ (u * w) = y.
(x * K(y \ 1,y)) \ (z * K(u \ 1,u)) = x \ z.
(1 / (1 / x)) * y = (x * y) * K(z \ 1,z).
(x * y) * K(z \ 1,z) = (1 / (1 / x)) * y.
(x * (y * K(z \ 1,z))) \ (x * (K(u \ 1,u) * (y * w))) != v5 | L(w,y * K(z \ 1,z),x) = v5.
K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z.
K(x \ 1,x) * (y * z) = (K(u \ 1,u) * y) * z.
K(x \ 1,x) * (y * z) = (1 / (1 / y)) * z.
(K(x \ 1,x) * y) \ (K(z \ 1,z) * u) = y \ u.
L(x,y,K(z \ 1,z)) = x.
((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(w \ 1,w) * y,z,u).
R(K(x \ 1,x) * y,z,u) = ((K(w \ 1,w) * (y * z)) * u) / (z * u).
x != L(T(y,z),z,K(u \ 1,u)) | x = T(y,K(u \ 1,u) * z).
T(x,y) = T(x,K(z \ 1,z) * y).
T(x,K(y \ 1,y) * z) = T(x,z).
(K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z).
L(x,y,1) = x.
x / 1 = L(x,y,1).
L(x,y,1) = x / 1.
L(x,y,1) != z | z = x.
T(x,(y \ 1) \ 1) = T(x,y).
T(x,(y / z) \ 1) = T(x,z / y).
((x \ 1) * y) / L(T(1 / x,y),y,K(z \ 1,z)) = K(z \ 1,z) * y.
((x \ 1) * y) \ (K(z \ 1,z) * u) = ((1 / x) * y) \ u.
R(K(x \ 1,x) * y,z,u) = (K(w \ 1,w) * ((y * z) * u)) / (z * u).
x != (K(y \ 1,y) * z) / u | x = K(y \ 1,y) * (z / u).
R(K(x \ 1,x) * y,z,u) = K(w \ 1,w) * (((y * z) * u) / (z * u)).
R(K(x \ 1,x) * y,z,u) = K(w \ 1,w) * R(y,z,u).
x != K(y \ 1,y) * R(z * T(y,y \ 1),u,w) | x = (y \ R(y * z,u,w)) * y.
R(K(x \ 1,x) * (y * T(z,z \ 1)),u,w) = (z \ R(z * y,u,w)) * z.
R(x * y,z,u) = (y \ R(y * x,z,u)) * y.
(x \ R(x * y,z,u)) * x = R(y * x,z,u).
R(x * y,z,u) / y = y \ R(y * x,z,u).
(x \ R(y,z,u)) * x = R((x \ y) * x,z,u).
(x \ (y * z)) * x = R((x \ (y / (1 / z))) * x,z \ 1,z).
R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x.
R(x,y,z) / u = u \ R(u * (x / u),y,z).
x \ R(x * (y / x),z,u) = R(y,z,u) / x.
x * (R(y,z,u) / x) = R(x * (y / x),z,u).
R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
(x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w.
((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)).
T(x,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)).
x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z).
x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z).
T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)).
T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)).
x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z).
x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)).
T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z).
T(x,y) * z = x * ((x \ T(x,y)) * z).
x * ((x \ T(x,y)) * z) = T(x,y) * z.
T(x,y) \ x = (x \ T(x,y)) \ 1.
(x \ T(x,y)) \ 1 = T(x,y) \ x.
(T(x,y) * z) / ((x \ T(x,y)) * z) = x.
x * y != T(x,z) * u | y = T(x,z) * (x \ u).
(x \ T(x,y)) * z = T(x,y) * (x \ z).
x * y != T(x,z) * (x * u) | y = T(x,z) * u.
(x \ T(x,y)) * (x * z) = T(x,y) * z.
x * y != z * ((z \ x) * u) | y = L(u,z \ x,z).
x = L(x,y \ T(y,z),y).
L(x,y \ T(y,z),y) = x.
(T(x,y) * z) / (x * z) = x \ T(x,y).
(x \ T(x,y)) \ (T(x,y) * z) = x * z.
x * y != z * (z \ u) | x \ u = y.
(x \ T(x,y)) \ z = x * (T(x,y) \ z).
x != y \ 1 | x = 1 / y.
T(x,y) \ x = 1 / (x \ T(x,y)).
1 / (x \ T(x,y)) = T(x,y) \ x.
(T(x,y) \ x) * z = (x \ T(x,y)) \ z.
(x \ T(x,y)) \ z = (T(x,y) \ x) * z.
((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y).
T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1.
x != (y \ T(y,z)) \ (T(y,z) * u) | x = y * u.
(T(x,y) \ x) * (T(x,y) * z) = x * z.
x != (T(y,z) * u) / (y * u) | x = R(y \ T(y,z),y,u).
x \ T(x,y) = R(x \ T(x,y),x,z).
R(x \ T(x,y),x,z) = x \ T(x,y).
x != R((y / z) \ T(y / z,u),y / z,z) | x = (z * T(z \ y,u)) / y.
(x / y) \ T(x / y,z) = (y * T(y \ x,z)) / x.
(x * T(x \ y,z)) / y = (y / x) \ T(y / x,z).
x != (y * T(y \ (z \ y),u)) / (z \ y) | x = z * T(z \ 1,u).
((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z).
1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y.
T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)).
(x \ T(x,x \ y)) \ y = x * T(x \ y,x).
(x \ T(x,x \ y)) \ y = (x \ y) * x.
(x \ ((x \ y) \ y)) \ y = (x \ y) * x.
x / ((y \ x) * y) = y \ ((y \ x) \ x).
K(x \ 1,x) * y = (1 / (1 / z)) * (z \ y).
x * y != K(z \ 1,z) * u | y = K(w \ 1,w) * (x \ u).
x \ y = K(z \ 1,z) * ((1 / (1 / x)) \ y).
K(x \ 1,x) * ((1 / (1 / y)) \ z) = y \ z.
K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z.
(x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y.
T(x,((y \ 1) \ 1) \ z) = T(x,y \ z).
x != (y \ 1) \ z | x = y * z.
(x \ y) * K(z \ 1,z) = (x \ 1) * y.
(((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z.
x != ((y \ 1) \ z) * (y \ 1) | x = (y * z) * (u / (y * u)).
(x \ y) * x = ((x \ 1) * y) * (z / ((x \ 1) * z)).
((x \ 1) * y) * (z / ((x \ 1) * z)) = (x \ y) * x.
(x \ y) \ (y / x) = ((y / x) \ (x \ y)) \ 1.
((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y).
(((x * y) / x) \ y) \ 1 = (x \ (x * y)) \ ((x * y) / x).
(x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1.
x \ ((y * x) / y) = (((y * x) / y) \ x) \ 1.
(((x * y) / x) \ y) \ 1 = y \ ((x * y) / x).
1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x.
x != 1 / (y \ ((z * y) / z)) | x = T(z,R(y,y \ 1,z)) \ z.
((x * y) / x) \ y = T(x,R(y,y \ 1,x)) \ x.
T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y.
T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x).
(x * (T(y,x) \ y)) \ x = y \ T(y,x).
((x \ 1) * y) / T(1 / x,y) = K(z \ 1,z) * y.
T(x \ 1,x \ T(x,y)) = x \ 1.
T(x \ T(x,y),x \ 1) = x \ T(x,y).
L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1).
T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x).
x != L(y \ T(y,z),y,z) | x = K(y,z).
T((x * y) \ (y * x),y \ 1) = K(y,x).
T(K(x,y),x \ 1) = K(x,y).
T(x \ 1,K(x,y)) = x \ 1.
x != T(y \ 1,z) | x = z \ (y \ z).
x \ 1 = K(x,y) \ (x \ K(x,y)).
K(x,y) \ (x \ K(x,y)) = x \ 1.
(x * y) \ x != z | z = L(y \ 1,y,x).
(x * y) \ x != z | L(y \ 1,y,x) = z.
(x \ 1) * ((x \ 1) \ 1) = T(x,K(x \ 1,y)) * (x \ 1).
T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1).
x != y * (y \ z) | x = z.
T(x,K(x \ 1,y)) * (x \ 1) = 1.
T(x,K(x \ 1,y)) = x.
T(x / y,K(y / x,z)) = x / y.
T(x / y,y) = T(y \ x,K(y / x,z)).
T(x \ y,K(x / y,z)) = T(y / x,x).
T(x \ y,K(x / y,z)) = x \ y.
x != y * (1 / (1 / z)) | x = K(u \ 1,u) * (y * z).
x = K(y \ 1,y) * (K(z,z \ 1) * x).
K(x \ 1,x) * (K(y,y \ 1) * z) = z.
(K(x,x \ 1) * y) * K(z \ 1,z) = y.
K(x \ 1,x) * y != z * (K(u \ 1,u) * w) | y = z * w.
K(x,x \ 1) * (y * (K(z \ 1,z) * u)) = y * u.
R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z.
(x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u.
x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)).
x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z).
x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z).
x * ((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).
x != y \ (z * (y / z)) | x = K(z,y / z).
x * ((y * (x \ 1)) / y) = K(y,(y / x) / y).
K(x,(x / y) / x) = y * ((x * (y \ 1)) / x).
K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x).
(x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y).
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).
T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y).
T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x).
K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z).
K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)).
T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x).
T(K(x,y / x),K(y / x,z)) = K(x,y / x).
T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x).
T(K(x,y),K(y,z)) = K(x,(y * x) / x).
T(K(x,y),K(y,z)) = K(x,y).
K(x,y) * K(z,x) = K(z,x) * K(x,y).
K(R(x,y,x),z) = K(x,z).
T(x,R(y,z,y)) = T(x,y).
x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x).
x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u).
(x * K(y \ 1,y)) \ z = x \ (K(u,u \ 1) * z).
(x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(w,w \ 1) * u).
L(x,y * K(z \ 1,z),u) = (u * y) \ (K(w,w \ 1) * (u * (K(v5 \ 1,v5) * (y * x)))).
L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)).
x != (y * z) \ (y * (z * u)) | x = L(u,z,y).
L(x,y * K(z \ 1,z),u) = L(x,y,u).
L(x,y \ 1,z) = L(x,1 / y,z).
L(x,1 / y,z) = L(x,y \ 1,z).
(x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z).
(x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z).
x * ((1 / (1 / y)) * z) != (x * (1 / (1 / y))) * u | L(z,y,x) = u.
(x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z.
(x \ 1) * T((x \ 1) \ y,z) != u | u = x \ T(x * y,z).
(x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u.
T(x,y * (z \ 1)) = T(x,y * (1 / z)).
T(x,y * (1 / z)) = T(x,y * (z \ 1)).
x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)).
x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w).
x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w).
x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u).
(x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)).
((x \ 1) * y) * R(x,x \ 1,z) = (x \ y) * x.
T(T(x * y,x) / y,x * y) = x.
T(T(x,x / y) / y,(x / y) * y) = x / y.
T(T(x,x / y) / y,x) = x / y.
T(x / y,y) = T(y \ T(x,x / y),x).
T(x \ T(y,y / x),y) = T(y / x,x).
T(x \ T(y,y / x),y) = x \ y.
T((x \ y) \ T(y,x),y) = (x \ y) \ y.
T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x.
T(x,x * (T(x,y) \ x)) = x.
T(x,y) = T(T(x,y),x * (T(x,z) \ x)).
T(T(x,y),x * (T(x,z) \ x)) = T(x,y).
x != T(T(y,z),y * (T(y,z) \ u)) | x = (y * (T(y,z) \ u)) \ (y * u).
T(x,y) = (x * (T(x,y) \ x)) \ (x * x).
(x * (T(x,y) \ x)) \ (x * x) = T(x,y).
(x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)).
x != T(y,R(T(z,y),T(z,y) \ 1,y)) | x = (T(z,y) \ z) * y.
(x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x.
(x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x.
x != (T(y,z) \ y) * z | x = z * (T(y,z) \ y).
(x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y).
(x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y).
x * y != (x * (z \ T(z,x))) \ (x * u) | y = (x * (z \ T(z,x))) \ u.
T(x,y) \ x = (y * (x \ T(x,y))) \ y.
(x * (y \ T(y,x))) \ x = T(y,x) \ y.
x * y != (z * u) * a(z,w,w \ u) | x \ ((z * w) * (w \ u)) = y.
x \ (((x / y) * z) * (z \ y)) = a(x / y,z,z \ y).
(x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)).
(x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)).
K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))).
x * y != z * T(z \ 1,u * z) | K((u * z) \ u,u * z) / y = x.
K((x * y) \ x,x * y) / y = T(1 / y,x * y).
L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z.
x != (y * T(z,u)) / y | x = T((y * z) / y,u).
L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z).
L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y).
T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)).
T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)).
L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y).
x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x.
x * y != L(z,u,w) * x | y = L(T(z,x),u,w).
T(x,L(x,y,z) * u) = L(T(x,u),u,L(x,y,z)).
L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y).
R(R(1 / x,x,y),z,u) = ((x \ z) * u) / (z * u).
T(x / (y * (y \ z)),y) * z = ((y \ (x / (y \ z))) * y) * (y \ z).
((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z.
((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z.
((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x).
((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x).
T(x,T(y,y \ z)) = T(x,T(y,z)).
T(x,(y \ z) \ z) = T(x,T(y,z)).
T(x * R(x \ y,z,u),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u).
(x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x).
T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y).
T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y).
T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y).
T(x \ y,(x \ y) * (y \ x)) = x \ y.
x * y != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x.
((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z).
((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z.
x != ((y * (y / z)) / y) * z | x = T(y,y / z).
((x * (x * y)) / x) / y = T(x,x / (1 / y)).
((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))).
T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y).
K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)).
x != y \ (z * (z \ y)) | x = 1.
K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1.
1 / (x \ y) = T(1 / (x \ y),(y \ x) * (x \ y)).
T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y).
x != ((y * z) / y) / (y \ z) | x = T(y,y / (y / z)).
T(x,x / (1 / (x \ y))) = T(x,x / (x / y)).
T(x,x / (1 / y)) = T(x,x / (x / (x * y))).
T(x,x / (x / (x * y))) = T(x,x / (1 / y)).
x != T(y,y / (y / T(z,y))) | x = (y / T(z,y)) * z.
(x * (x * y)) / (y * x) = (x / T(y,x)) * y.
x != y / (z * u) | x = R((y / u) / z,z,u).
(x / T(y,x)) * y = R(((x * (x * y)) / x) / y,y,x).
R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y.
R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y.
(x * y) * ((y \ z) * (x * y)) = (x * (z * x)) * y.
x * ((y \ z) * ((x / y) * y)) = ((x / y) * (z * (x / y))) * y.
((x / y) * (z * (x / y))) * y = x * ((y \ z) * ((x / y) * y)).
((x / y) * (z * (x / y))) * y = x * ((y \ z) * x).
x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u).
(x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)).
T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)).
T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)).
x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u).
x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u).
x != y \ (z * (y * T(y \ (z \ u),w))) | x = T(z * T(z \ (u / y),w),y).
T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y).
T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y).
T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u).
T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z).
T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y).
T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y).
K(x \ (x / T(y,z)),x) = T(y * T(y \ 1,x),z).
T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y).
x * K(y \ (y / T(z,x)),y) = (z * T(z \ 1,y)) * x.
(x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y).
((1 / x) * T((1 / x) \ 1,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ (K(z \ 1,z) * y),(x \ 1) * y).
(x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ (K(z \ 1,z) * y),(x \ 1) * y).
(x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y).
(x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y).
x != y * K(z \ y,z) | x = (z \ y) * z.
(x \ T(x,(x \ 1) * y)) * y = (((x \ 1) * y) \ y) * ((x \ 1) * y).
(((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y.
(((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y.
(1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z).
x != y * L(T(z,y),u,w) | x = L(z,u,w) * y.
(1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x.
(1 / (x \ y)) \ (y \ x) = L((x \ y) \ 1,x \ y,x) * (x \ y).
L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x).
(x \ y) * (y \ x) = (1 / (y \ x)) \ (x \ y).
(1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y).
(1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x.
((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z.
T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x).
x != T(1 / (y \ z),(z \ y) * (y \ z)) | x = 1 / (y \ z).
((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x).
L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y).
(x \ y) * (1 / (x \ y)) = x \ (y * L(y \ x,x \ y,y \ x)).
x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)).
x != y * (1 / y) | x = K(z,z \ 1).
x \ (y * L(y \ x,x \ y,y \ x)) = K(z,z \ 1).
K(x,x \ 1) = y \ (z * L(z \ y,y \ z,z \ y)).
x * K(y,y \ 1) = z * L(z \ x,x \ z,z \ x).
x * L(x \ y,y \ x,x \ y) = y * K(z,z \ 1).
x * (1 / (1 / (x \ y))) = y * K(z,z \ 1).
x * K(y,y \ 1) = z * (1 / (1 / (z \ x))).
x != (y / z) * K(u,u \ 1) | x = y / (1 / (1 / z)).
x * (1 / (1 / (x \ (y / z)))) = y / (1 / (1 / z)).
x * y != (z / u) * K(w,w \ 1) | x \ (z / (1 / (1 / u))) = y.
x \ (y / (1 / (1 / z))) = 1 / (1 / (x \ (y / z))).
1 / (1 / (x \ (y / z))) = x \ (y / (1 / (1 / z))).
(x \ (y / (1 / (1 / z)))) \ 1 = 1 / (x \ (y / z)).
(x \ (y / (1 / z))) \ 1 = 1 / (x \ (y / (z \ 1))).
1 / (x \ (y / (z \ 1))) = (x \ (y / (1 / z))) \ 1.
((x \ (y / (z \ 1))) * u) * K(w \ 1,w) = (1 / ((x \ (y / (1 / z))) \ 1)) * u.
((x \ (y / (z \ 1))) * u) * K(w \ 1,w) = (x \ (y / (1 / z))) * u.
R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y.
R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y.
x != R((y \ (z / (1 / u))) * y,u \ 1,u) | x = (y \ (z * u)) * y.
(x * (y \ T(y,x))) * y = (x \ (x * y)) * x.
(x \ (x * y)) * x = (x * (y \ T(y,x))) * y.
x * y = (y * (x \ T(x,y))) * x.
(x * (y \ T(y,x))) * y = y * x.
(x * y) / x = y * (x \ T(x,y)).
x * (y \ T(y,x)) = (y * x) / y.
x / y = (y \ x) * (y \ T(y,y \ x)).
(x \ y) * (x \ T(x,x \ y)) = y / x.
T(x,y) * (y \ T(y,T(x,y))) = x.
x * y != (z * T(u,z)) / z | x \ u = y.
T(x,y) \ x = y \ T(y,T(x,y)).
x * y != ((z / u) * u) / w | x \ (z / w) = y.
x \ (y / (y / x)) = (y / x) \ T(y / x,x).
(x / y) \ T(x / y,y) = y \ (x / (x / y)).
x != y * (z \ T(z,y)) | x = (z \ T(z,y)) * y.
(x * y) / x = (x \ T(x,y)) * y.
(x \ T(x,y)) * y = (x * y) / x.
((x * y) / x) \ y = T(x,y) \ x.
x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z.
x != ((y \ z) / z) \ T((y \ z) / z,u) | x = y * T(y \ 1,u).
x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x).
(x / y) \ (y \ x) = y \ (x / (x / y)).
x != (y \ T(y,z)) * u | x = T(y,z) * (y \ u).
(x * y) / x = T(x,y) * (x \ y).
T(x,y) * (x \ y) = (x * y) / x.
x * ((x * y) / x) = T(x,y) * y.
T(x,y) * y = x * ((x * y) / x).
T(x / y,T(y,x)) = y \ x.
x * (y \ z) != (y * z) / y | x = T(y,y / (y / z)).
T(x,y) = T(x,x / (x / y)).
T(x,x / (x / y)) = T(x,y).
x != T(y,y / (y / (y * z))) | x = T(y,y / (1 / z)).
T(x,x * y) = T(x,x / (1 / y)).
T(x,x / (1 / y)) = T(x,x * y).
T(x,T(y,x)) = (x / T(y,x)) * y.
(x / T(y,x)) * y = T(x,T(y,x)).
T(x,x / y) = T(x,y \ x).
T(x,T(y,x)) * (y * x) = x * (x * y).
x * y != T(x,T(z,x)) * u | y = (T(z,x) \ z) * u.
x * y = (T(y,x) \ y) * (y * x).
(T(x,y) \ x) * (x * y) = y * x.
(x * y) * z != y * x | T(T(x,y) \ x,x * y) = z.
T(T(x,y) \ x,x * y) = K(y,x).
(x * y) / (y * x) = T(y,x) \ y.
x * y != (z / u) * u | z / y = x.
x / (y * (x / y)) = T(y,x / y) \ y.
T(x,y / x) \ x = y / (x * (y / x)).
(x * (y / x)) / y = T(y / x,x) \ (y / x).
T(x / y,y) \ (x / y) = (y * (x / y)) / x.
T(x / ((x * y) / x),y) = ((x * y) / x) \ x.
x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)).
x != y \ (z * T(z \ y,T(z,y))) | x = K(z \ y,z).
K(x \ y,T(x,y)) = K(x \ y,x).
x != K(y \ (y * z),u) | x = K(z,u).
K(x \ (x * y),x) = K(y,T(x,x * y)).
K(x,T(y,y * x)) = K(x,y).
K(x,T(y,x)) = K(x,y).
K(x,x \ y) = K(x,y / x).
K(x,y / x) = K(x,x \ y).
K(x,T(x \ y,z)) = K(x,T(y / x,z)).
K(x,T(y / x,z)) = K(x,T(x \ y,z)).
K(x,y * x) = K(x,x * y).
K(x,(y \ x) \ x) = K(x,y).
K(x,y \ x) = K(x,x / y).
K(x,x / y) = K(x,y \ x).
K(x,x \ y) = K(x,T(x \ y,y)).
K(x,T(x \ y,y)) = K(x,x \ y).
(x \ y) * (x \ ((x \ y) \ y)) = y / x.
(x / y) \ (y \ x) = T(y,y \ x) \ y.
T(x,x \ y) \ x = (y / x) \ (x \ y).
x != (y / z) \ (z \ y) | x = z \ (y / (y / z)).
T(x,x \ y) \ x = x \ (y / (y / x)).
x * (T(x,x \ y) \ x) = y / (y / x).
x / (x / y) = y * (T(y,y \ x) \ y).
T(x,y \ 1) \ x = x \ ((y \ x) / ((y \ x) / x)).
x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x.
T(x,y / x) \ x = x \ (y / (y / x)).
x != y \ ((z \ y) / ((z \ y) / y)) | x = z * T(z \ 1,y).
T(x,y \ 1) \ x = y * T(y \ 1,x).
x != (y \ 1) * T((y \ 1) \ 1,z) | x = y \ T(y,z).
T(x,(y \ 1) \ 1) \ x = y \ T(y,x).
T(x,y) \ x = y \ T(y,x).
T(x,y) * (y \ T(y,x)) = x.
(T(x,y) \ x) * z = T(y,x) * (y \ z).
T(x,y) * (x \ z) = (T(y,x) \ y) * z.
x * (T(x,y) \ x) = (y * x) / y.
(x * y) / x = y * (T(y,x) \ y).
x != (T(y,z) \ y) * (T(y,z) * u) | x = y * u.
T(x,y) * (x \ (T(y,x) * z)) = y * z.
x * y != (T(z,u) \ z) * T(z,u) | x \ z = y.
T(x,y) \ y = x \ T(y,x).
T(T(x,x \ y) \ x,y) = K(x \ y,x).
T(x \ (y / (y / x)),y) = K(x \ y,x).
x != T(y,z / y) \ y | x = y \ (z / (z / y)).
x / (y * (x / y)) = y \ (x / (x / y)).
x * (y * z) = T(x,y) * (T(y,x) * z).
T(x,y) * (T(y,x) * z) = x * (y * z).
x != y * (z * u) | x = (y * z) * L(u,z,y).
T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x).
(x \ y) * (T(x,y / x) * z) = (y / x) * (x * z).
T(x,y) * (T(y,x) * z) != u | x * (y * z) = u.
T(x * (T(x,y) \ x),y) = x.
x \ T(x,y) = T(y,T(x,y)) \ y.
T(x,T(y,x)) \ x = y \ T(y,x).
x * (y \ T(y,z)) != z | x = T(z,T(y,z)).
x * (y \ T(y,z)) != z | T(z,T(y,z)) = x.
T(x,T(y,x)) = T(x,y).
T(x,T(y,y * x)) = T(x,y).
T(x,(x \ 1) * (y * x)) = T(x,y).
T(x,y) * (y * x) = x * (x * y).
T(x,y) * T(y,x) = x * y.
T(x,x \ y) * (x \ y) = x * (y / x).
x * y != z * ((u \ w) / w) | x \ (u \ T(z,u \ 1)) = y.
T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x).
x != T(y,z) * (y \ u) | x = (y \ T(y,z)) * u.
x * (y / x) = (x \ T(x,x \ y)) * y.
(x \ T(x,x \ y)) * y = x * (y / x).
x != (y \ T(y,y \ z)) * z | x = (((y \ 1) * z) \ z) * ((y \ 1) * z).
x * (y / x) = (((x \ 1) * y) \ y) * ((x \ 1) * y).
(((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x).
(x * y) / ((x * y) / x) = x * (T(x,y) \ x).
x != (y * z) / ((y * z) / y) | x = z / (y \ ((y * z) / y)).
x * (T(x,y) \ x) = y / (x \ ((x * y) / x)).
x / (y \ ((y * x) / y)) = y * (T(y,x) \ y).
x != (y * z) / ((u * z) / u) | x = (y / ((u * z) / u)) * z.
x * (T(x,y) \ x) = (x / ((x * y) / x)) * y.
(x / ((x * y) / x)) * y = x * (T(x,y) \ x).
x * y != z * (T(z,x) \ z) | T(z / ((z * x) / z),x) = y.
T(x / ((x * y) / x),y) = y \ (x * (T(x,y) \ x)).
x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x).
x != T(y / ((y * z) / y),z) | x = ((y * z) / y) \ y.
x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y.
x \ ((x * y) / x) = ((y * x) / y) \ y.
((x * y) / x) \ x = y \ ((y * x) / y).
((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y).
x != ((y * z) / u) * T(((y * z) / u) \ y,w) | x = (y * (z * T(z \ u,w))) / u.
x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x.
x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x.
x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x.
(x \ y) \ (y / x) = x \ ((x \ y) \ y).
(x \ y) \ (y / x) = (x * (y / x)) / y.
(x * (y / x)) / y = (x \ y) \ (y / x).
x != (y \ z) \ (z / y) | x = y \ ((y \ z) \ z).
(x * (y / x)) / y = x \ ((x \ y) \ y).
x != y \ ((y \ z) \ z) | x = z / ((y \ z) * y).
(x * (y / x)) / y = y / ((x \ y) * x).
T(x * (y / x),y) / y = y / ((x \ y) * x).
T((x \ y) * x,y) / y = y / ((((x \ 1) * y) \ y) * ((x \ 1) * y)).
x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x.
x / (y * (x / y)) = T((y \ x) * y,x) / x.
T((x \ y) * x,y) / y = y / (x * (y / x)).
((x \ y) * x) / y = y / (x * (y / x)).
T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y).
R(T(x,x * y),y,x) = (x / T(y,x)) * y.
x != (y / T(z,y)) * z | x = T(y,T(z,y)).
R(T(x,x * y),y,x) = T(x,T(y,x)).
L(R(x,y,x),z,x) * y = y * T(x,T(y,x)).
x * y != y * T(z,u) | x = T((y * z) / y,u).
L(R(x,y,x),z,x) = T((y * x) / y,T(y,x)).
T((x * y) / x,T(x,y)) = L(R(y,x,y),z,y).
T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),z,y).
x != L(R(y,z,y),u,y) | x = y.
T(x \ T(x * y,y),T(x * y,y)) = y.
K(x,y) = K(x,x \ T(x * y,y)).
K(x,x \ T(x * y,y)) = K(x,y).
x != K(y,y \ T(y * z,z)) | x = (y * R(z,y,z)) \ T(y * z,z).
K(x,y) = (x * R(y,x,y)) \ T(x * y,y).
(x * R(y,x,y)) \ T(x * y,y) = K(x,y).
T(x * y,x) \ T(y * x,x) = K(y,x).
x != T(y * z,y) \ T(z * y,y) | x = K(y \ T(y * z,y),y).
K(x,y) = K(y \ T(y * x,y),y).
K(x \ T(x * y,x),x) = K(y,x).
K(x \ T(y,x),x) = K(x \ y,x).
K(x \ y,x) = K(x \ ((x * y) / x),x).
K(x \ ((x * y) / x),x) = K(x \ y,x).
K(((x * y) / x) \ x,y) = K(y \ x,y).
x * K(y \ x,y) = (x * ((y \ x) * y)) / x.
(x * ((y \ x) * y)) / x = x * K(y \ x,y).
x * y != (x * z) / x | y = z / x.
K(x \ y,x) = ((x \ y) * x) / y.
((x \ y) * x) / y = K(x \ y,x).
x != ((y \ z) * y) / z | x = z / (y * (z / y)).
K(x \ y,x) = y / (x * (y / x)).
x / (y * (x / y)) = K(y \ x,y).
T(x,y) / x = K(y \ x,y).
K(x \ y,x) = T(y,x) / y.
x != y / (z * (y / z)) | x = z \ (y / (y / z)).
K(x \ y,x) = x \ (y / (y / x)).
x \ (y / (y / x)) = K(x \ y,x).
K(x \ y,x) * (x * (y / x)) = y.
x * K(x \ y,x) = y / (y / x).
x / (x / y) = y * K(y \ x,y).
T(K(x \ y,x),y) = K(x \ y,x).
T(x,K(y \ x,y)) = x.
T(x * y,K(y,x)) = x * y.
(x * y) / (y * x) = K(x,y).
x != (y * z) / (z * y) | x = T(z,y) \ z.
K(x,y) = T(y,x) \ y.
T(x,y) \ x = K(y,x).
K(x,y) * (y * x) = x * y.
K(x,x \ y) * ((x \ y) * x) = y.
x != T(y,z) \ y | x = y * (T(y,z) \ 1).
K(x,y) = y * (T(y,x) \ 1).
x * (T(x,y) \ 1) = K(y,x).
x != T(y,z) \ y | x = z \ T(z,y).
K(x,y) = x \ T(x,y).
x \ T(x,y) = K(x,y).
x != T(y,z \ 1) \ y | x = z * T(z \ 1,y).
K(x \ 1,y) = x * T(x \ 1,y).
x * T(x \ 1,y) = K(x \ 1,y).
x / K(y,x) = T(x,y).
T(x,K(x,y)) = x.
K(x,y) * T(y,x) = y.
K(x,y) * (T(y,x) * z) = y * z.
T(x,y) * (x \ z) = K(x,y) * z.
(x * y) / x = y * K(x,y).
T(x * K(y,x),y) = x.
T(x,y) * z = K(x,y) * (x * z).
K(x,y) * (x * z) = T(x,y) * z.
T(x,y) * T(z,x) = K(x,y) * (z * x).
x * (K(x,y) * z) = T(x,y) * z.
x != T(y,z) * (y \ u) | x = K(y,z) * u.
x * (K(x,y) * (x \ z)) = K(x,y) * z.
x \ (T(x,y) * z) = K(x,y) * z.
x \ y = K(x,z) * (T(x,z) \ y).
K(x,y) * (T(x,y) \ z) = x \ z.
(x * y) * z != T(x * y,x) * T(x,y) | z = R(x,y,x).
K(x * y,x) * T(x,y) = R(x,y,x).
x * K(y \ 1,y) != z * (u * K(w \ 1,w)) | x = z * u.
T(x,y) = x * K(x,y).
x * K(x,y) = T(x,y).
x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)).
T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)).
x * (y * K(x,y)) = T(x,y) * y.
K(x,y) * z = y * (T(y,x) \ z).
x * (T(x,y) \ z) = K(y,x) * z.
T(x,y) * (K(y,x) * z) = x * z.
T(K(x,y) * y,x) = y.
K(x,y / z) * (z * T(z \ y,x)) = y.
T(x,y) \ z = K(y,x) * (x \ z).
K(x,y) * (y \ z) = T(y,x) \ z.
T(x,y) * z != x * y | z = T(y,x).
K(x,y) * x = T(x,y).
T(x,y) * z != x * (K(x,y) * u) | z = u.
K(x,y) * (K(y,x) * z) = z.
K(x,y) * (y * z) = y * (K(x,y) * z).
K(x,y) * z = K(y,x) \ z.
K(x,y) \ z = K(y,x) * z.
1 / K(x,y) = K(y,x).
x / (K(y,z) * x) = K(z,y).
x * (y * z) != z | x = y \ 1.
K(x,y) = K(y,x) \ 1.
K(x,y) \ 1 = K(y,x).
x * y != x | y = 1.
K(x,y) * K(y,x) = 1.
K(x,y) * z != K(y,u) * K(x,y) | z = K(y,u).
K(x,y) * (K(x,z) * K(y,x)) = K(x,z).
x != K(y,z) * u | K(z,y) * x = u.
K(x,y) * z != u | K(y,x) * u = z.
K(x,y) \ z != u | u = K(y,x) * z.
K(x,y) \ z != u | K(y,x) * z = u.
L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u).
x * y != K(z,u) * K(u,z) | 1 / y = x.
1 / (x \ K(y,x)) = T(x,y).
x * (K(y,z) * K(z,y)) = x.
x * (K(y,z) * K(z,y)) != u | x = u.
K(x,y) \ 1 != z | z = K(y,x).
K(x,y) \ 1 != z | K(y,x) = z.
1 / K(x,y) != z | z = K(y,x).
1 / K(x,y) != z | K(y,x) = z.
K(T(x,y),y) * K(y,x) = 1.
(x * y) * L(z,y * x,K(x,y)) = K(x,y) * ((y * x) * z).
(x * (y * z)) / L(z * y,K(y,z),x) = x * K(y,z).
x != T(T(y,z),u) | x = T(T(y,u),z).
T(x,y) * K(T(x,y),z) = T(T(x,z),y).
x * y != T(z,z * u) | x \ T(z,u) = y.
x \ T(x,y) = K(x,x * y).
x * y != T(L(z,u,w),v5) | x \ L(T(z,v5),u,w) = y.
L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u).
T(x,y) != x * z | K(x,y) = z.
((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)).
(x * y) * L(K(y,z),y,x) = x * T(y,z).
x \ T(x,y) != z | z = K(x,y).
x \ T(x,y) != z | K(x,y) = z.
T(x,y) * T(x,z) = x * (T(x,y) * K(x,z)).
x * (T(x,y) * K(x,z)) = T(x,y) * T(x,z).
K(x,y) = (T(x,y) * z) / (x * z).
(T(x,y) * z) / (x * z) = K(x,y).
K(x,y \ 1) = y * ((x * (y \ 1)) / x).
x * ((y * (x \ 1)) / y) = K(y,x \ 1).
L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w.
T(x,y) / x != z | K(x,y) = z.
T(x,y) \ x != z | K(y,x) = z.
K(x,y) = K(x,x * y).
K(x,x * y) = K(x,y).
K(x,x * y) != z | K(x,y) = z.
K(x,y) = K(x,y * x).
K(x,y * x) = K(x,y).
K(x,y * x) != z | K(x,y) = z.
K(x,y \ x) != z | K(x,y \ 1) = z.
x != T(y,z) * (T(z,y) * u) | x = (y * z) * L(u,z,y).
K(x,y) * (x * (T(y,x) * z)) = (x * y) * L(z,y,x).
K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)).
x * y != K(z,u) * (z * x) | T(T(z,u),x) = y.
T(T(x,y),y) = T(y,x) \ (x * y).
T(x,y) \ (y * x) = T(T(y,x),x).
T(x,y) * (x \ z) != u | K(x,y) * z = u.
(T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)).
K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w).
T(x,y) * R(T(z,x),u,w) = K(x,y) * (R(z,u,w) * x).
K(x,y) * T(x,z) = T(x,y) * K(x,z).
T(x,y) * K(x,z) = K(x,y) * T(x,z).
K(x,y) = K(x,x \ y).
K(x,x \ y) = K(x,y).
K(x / y,x) = K(x / y,y).
K(x / y,y) = K(x / y,x).
x != K(y,y \ z) | x = K(y,z / y).
K(x,y) = K(x,y / x).
K(x,y / x) = K(x,y).
K(x,y) = K(y \ x,y).
K(x \ y,x) = K(y,x).
K(x * y,x) = K(y,x).
K(T(x,y),y) = K(x * y,y).
K(x * y,y) = K(T(x,y),y).
K(x,y) * (x * z) != u | u = T(x,y) * z.
K(x,y) * (x * z) != u | T(x,y) * z = u.
T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u.
x * y != K(z,u) \ (z \ K(z,u)) | (z \ 1) / y = x.
(x \ 1) / (x \ K(x,y)) = K(y,x).
(K(x,y) * z) \ z = T(K(y,x),z).
(K(x,y) * z) * T(K(y,x),z) = z.
(K(x,y) \ z) / z != u | u = K(y,x).
(K(x,y) \ z) / z != u | K(y,x) = u.
T(x,y) = T(T(x * K(z,x),y),z).
T(T(x * K(y,x),z),y) = T(x,z).
x * y = (y * K(x,y)) * x.
(x * K(y,x)) * y = y * x.
x * T(y,z) = T(y * K(x,y),z) * x.
T(x * K(y,x),z) * y = y * T(x,z).
x * y != z * x | z = y * K(x,y).
x * y != z * x | y * K(x,y) = z.
x != K(y \ 1,z) | x = K(1 / y,z).
x * T(x \ 1,y) = K(1 / x,y).
x * K((x \ y) \ 1,z) = y * T(y \ x,z).
x * T(x \ y,z) = y * K((y \ x) \ 1,z).
K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y).
L(K(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y).
K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u).
x * K(y,z) != 1 | x = K(z,y).
K(T(x,y),y) = K(x,y).
x != K(T(y,z),z) | x = K(y * z,z).
K(x,y) = K(x * y,y).
K(x * y,y) = K(x,y).
K(x \ (y \ x),x) = K(y \ 1,x).
K(x * y,y) = K(y * x,y).
K(x,y) = K(x / y,y).
K(x / y,y) = K(x,y).
x != K(y / z,z) | x = K(y / z,y).
K(x,y) = K(x / y,x).
K(x / y,x) = K(x,y).
K(x,y) = K(y,x \ y).
K(x,y \ x) = K(y,x).
K(x,y \ 1) = K(y,x).
x != K(y,(z \ y) \ y) | x = K(y,z).
K(x \ y,y) = K(y,x).
x * K(y,x) = T(x,y \ x).
x != K(y,(z \ 1) \ 1) | x = K(y,z).
K(x \ 1,y) = K(y,x).
K(x,1 / y) = K(y,x).
x * (K(y,x) * z) = T(x,y \ 1) * z.
T(x,y \ 1) * z = x * (K(y,x) * z).
K(x,K(y,z)) = K(K(z,y),x).
K(K(x,y),z) = K(z,K(y,x)).
K(x,y) * (y * z) = T(y,x \ 1) * z.
T(x,y \ 1) * z = K(y,x) * (x * z).
x != K(y \ 1,z) | x = y * T(y \ 1,z).
K(x,y) = y * T(y \ 1,x).
x * T(x \ 1,y) = K(y,x).
x != K(y,z) * (z * y) | x = y * z.
T(x,y \ 1) * y = y * x.
x / y = T(y \ x,y \ 1).
T(x \ y,x \ 1) = y / x.
x * y != y * (z * y) | x = y * z.
T(x * y,y \ 1) = y * x.
T(T(x,y),y \ 1) = x.
T(T(x,y \ 1),z) * y = y * T(x,z).
(T(T(x,y \ 1),z) * y) / (y * x) = K(T(x,y \ 1),z).
T(x,y \ 1) = y * (x / y).
K(x \ 1,x * y) = K(x \ 1,y * x).
K(x \ 1,y * x) = K(x \ 1,x * y).
x \ (y \ 1) = (x \ 1) / y.
(x \ 1) / y = x \ (y \ 1).
x * y != T(z,x \ 1) | y = z * (u / (x * u)).
x / y = x * (z / (y * z)).
x * (y / (z * y)) = x / z.
x \ T(y,x \ 1) != z * u | z \ (y / x) = u.
(x * (y / x)) * z = K(x,y) * (y * z).
K(x,y) * (y * z) = (x * (y / x)) * z.
x \ (x / y) = y \ 1.
x * (y \ 1) = x / y.
(x * y) \ x = y \ 1.
x \ y = (y \ x) \ 1.
(x \ y) \ 1 = y \ x.
x \ (y \ 1) = (y * x) \ 1.
(x * y) \ 1 = y \ (x \ 1).
x * (y \ 1) != z | z = x / y.
x * (y \ 1) != z | x / y = z.
((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1.
K(L(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z).
L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y).
(x \ (y \ 1)) * z = (y * x) \ z.
T(L(x \ y,x,z),(z * x) \ z) = L(y,z,x \ (z \ 1)) * ((z * x) \ z).
K(x,y \ (z \ 1)) = K(z * y,x).
x != K(y,z) \ 1 | x = K(z,y).
(x * K(y,z)) \ x = K(z,y).
x / (y \ 1) = x * y.
x * (y \ 1) != z | x = z * y.
x * (y \ 1) != z | z * y = x.
x * K(y \ 1,x * y) = ((x * y) \ x) * (x * y).
((x * y) \ x) * (x * y) = x * K(y \ 1,x * y).
x / (y / z) = x * (z / y).
x / (1 / y) = x * y.
x / y = x * (1 / y).
x * (1 / y) = x / y.
K((x * y) \ x,z) = K(y \ 1,z).
x / K(y,z) = x * K(z,y).
(x * (y / z)) \ ((x * y) * (z \ 1)) = a(x,y,z \ 1).
(x * (y \ z)) \ ((x / y) * z) = a(x,y \ 1,z).
(x * y) \ ((x / z) * (z * y)) = a(x,z \ 1,z * y).
((x / y) * z) / (y \ z) = R(x,y \ 1,z).
x * (y \ (z \ 1)) = x / (z * y).
x * ((y * z) \ y) = x / z.
K(K(x,y),z) = T(K(x,y),z) * K(y,x).
T(K(x,y),z) * K(y,x) = K(K(x,y),z).
(K(x,y) / z) \ 1 = z * K(y,x).
(x * K(y,z)) * K(z,y) = x.
x * y != (z \ u) / u | x \ (z \ 1) = y.
(x \ K(y,z)) \ (x \ 1) = K(z,y).
T(x * K(y,z),K(z,y)) = K(z,y) \ x.
(x * K(y,z)) \ x != u | u = K(z,y).
(x * K(y,z)) \ x != u | K(z,y) = u.
(x * K(y,z)) * K(z,y) != u | u = x.
x != y * K(y,z) | x = T(y,z).
(K(x,y) / y) \ 1 = T(y,x).
x / (y * K(z,u)) = x * (K(u,z) / y).
(x \ (y / z)) * u = ((z / y) * x) \ u.
((x / y) * z) \ u = (z \ (y / x)) * u.
((x * y) * (y \ z)) \ (x * z) = a(x * y,y \ 1,z).
x \ ((y / z) * (z * (y \ x))) = a(y,z \ 1,z * (y \ x)).
x != y \ 1 | x = (z * y) \ z.
x \ y = (z * (y \ x)) \ z.
(x * (y \ z)) \ x = z \ y.
(x \ y) \ z = (y \ x) * z.
(x \ y) * ((y \ x) * z) = z.
K(x,(y \ z) \ 1) = K(x,z \ y).
a(x / y,y,z) \ 1 = (x * z) \ ((x / y) * (y * z)).
(x * y) \ ((x / z) * (z * y)) = a(x / z,z,y) \ 1.
(x \ y) \ z != u | (y \ x) * z = u.
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)).
x * K(y \ z,z \ y) = u * (1 / (1 / (u \ x))).
K(x,y \ z) = K(z \ y,x).
K(x \ y,z) = K(z,y \ x).
x / (y \ z) = x * (z \ y).
a(x,y \ 1,z) \ 1 = ((x / y) * z) \ (x * (y \ z)).
((x / y) * z) \ (x * (y \ z)) = a(x,y \ 1,z) \ 1.
x \ (y * (z \ ((z / y) * x))) = a(y,z \ 1,(z / y) * x) \ 1.
a(x,y \ 1,(y / x) * z) \ 1 = z \ (x * (y \ ((y / x) * z))).
x != (y \ z) \ u | x = L(z \ (y * u),z,y \ 1).
(x \ y) * z = L(x \ (y * z),x,y \ 1).
L(x \ (y * z),x,y \ 1) = (x \ y) * z.
x != (y \ (z * u)) \ ((y \ z) * u) | x = a(y \ 1,z,u).
((x * y) \ z) * ((z \ x) * y) = a(z \ 1,x,y).
x != (y \ z) \ (y \ (z * u)) | x = L(u,z,y \ 1).
(x \ y) * (y \ (x * z)) = L(z,x,y \ 1).
x != y \ (z * ((z \ y) * u)) | x = L(u,z \ y,z).
(x \ y) * (z * ((z \ (y \ x)) * u)) = L(u,z \ (y \ x),z).
T(x,(y \ z) * y) = T(x,T(z,y)).
x != (y * z) \ ((y / u) * (u * z)) | x = a(y,u \ 1,u * z).
a(x / y,y,z) \ 1 = a(x,y \ 1,y * z).
a(x,y,z) \ 1 = a(x * y,y \ 1,y * z).
a(x * y,y \ 1,y * z) = a(x,y,z) \ 1.
a(x \ (y \ 1),y,z) \ 1 = a(x \ 1,y \ 1,y * z).
T(T(x,y \ z),z \ y) = x.
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).
x != K(y \ 1,z) | x = K(z,y).
L(K(x,y),z,u) = K(y,L(x \ 1,z,u)).
K(x,L(y \ 1,z,u)) = L(K(y,x),z,u).
x * ((y * (z * u)) \ (y * z)) = x / L(u,z,y).
x * (y \ (z \ y)) = x / T(z,y).
(x * y) / y != z * u | x / u = z.
x * y != T(z,u) / (z * u) | x \ (u \ 1) = y.
T(x,y) \ (y \ 1) = y \ (x \ 1).
x * y != z * (u \ (w \ 1)) | (z / (w * u)) / y = x.
((x * y) / (z * y)) / (z \ 1) = R(x,y,y \ (z \ 1)).
x * (y \ (z \ (u \ 1))) = x / ((u * z) * y).
x * (y \ (z \ u)) = x / ((u \ z) * y).
x / ((y \ z) * u) = x * (u \ (z \ y)).
x / (y / z) != x * u | z / y = u.
(x * (y / z)) \ u = ((z / y) / x) * u.
T(x,y) / (z \ x) = K(x,y) * z.
x / (y * (z \ u)) = x * ((u \ z) / y).
(x * T(y,z)) / (x * y) = K(T(y,x \ 1),z).
((x / (y * z)) * u) / ((y * z) \ u) = R(x,z \ (y \ 1),u).
x != y / (z \ u) | x = y * (u \ z).
R(x,y \ (z \ 1),u) = ((x / (z * y)) * u) * (u \ (z * y)).
((x / (y * z)) * u) * (u \ (y * z)) = R(x,z \ (y \ 1),u).
((x / (y * z)) * y) * z = R(x,z \ (y \ 1),y).
x * K(y,z) != u | x = u * K(z,y).
x * K(y,z) != u | u * K(z,y) = x.
((x / y) * z) \ u != w | (z \ (y / x)) * u = w.
K((x * y) \ y,z) = K(T(x,y) \ 1,z).
K(T(x,y) \ 1,z) = K((x * y) \ y,z).
K(L(x \ 1,x,y),z) = K(x \ 1,z).
K(x \ K(y,z),u) = K((K(z,y) * x) \ 1,u).
K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u).
x * y != ((z * u) * w) / a(z,u,w) | x \ (z * (u * w)) = y.
((x * y) * z) \ (x * (y * z)) = 1 / a(x,y,z).
R(x,1 / y,z) * (y \ z) = (x / y) * z.
T(x,y / z) = T(x,y * (z \ 1)).
T(x,y * (z \ 1)) = T(x,y / z).
x != ((y * z) * u) \ (y * (z * w)) | x = L(u \ L(w,z,y),u,y * z).
1 / a(x,y,z) = L(z \ L(z,y,x),z,x * y).
L(x \ L(x,y,z),x,z * y) = 1 / a(z,y,x).
L(L(x,y,z) / x,x,z * y) = 1 / a(z,y,x).
((x \ y) * z) * ((z \ (y \ x)) * u) = u.
x * y != ((z \ u) * w) * ((w \ (u \ z)) * v5) | v5 / y = x.
x / a(y \ z,u,(u \ (z \ y)) * x) = (y \ z) * (u * ((u \ (z \ y)) * x)).
((x \ y) * z) * (u * (z \ (y \ x))) = T(u,z \ (y \ x)).
x != (y \ z) * (u * ((u \ (z \ y)) * w)) | x = L(w,u \ (z \ y),u).
x / a(y \ z,u,(u \ (z \ y)) * x) = L(x,u \ (z \ y),u).
L(x,y \ (z \ u),y) \ x = a(u \ z,y,(y \ (z \ u)) * x).
a(x \ y,z,(z \ (y \ x)) * u) = L(u,z \ (y \ x),z) \ u.
a(x,y,(y \ ((z * x) \ z)) * u) = L(u,y \ ((z * x) \ z),y) \ u.
a(x,y,(y \ (x \ 1)) * z) = L(z,y \ ((u * x) \ u),y) \ z.
a(x,y,(x * y) \ z) = L(z,y \ ((u * x) \ u),y) \ z.
a(x,y,(x * y) \ z) = L(z,y \ (x \ 1),y) \ z.
K(x,y) * (x * z) = (K(x,y) * x) * z.
(K(x,y) * x) * z = K(x,y) * (x * z).
R(K(x,y),x,z) = K(x,y).
L(x,y,K(y,z)) = x.
L(x,y * z,K(z,y)) = x.
(x * y) * z = K(x,y) * ((y * x) * z).
K(x,y) * ((y * x) * z) = (x * y) * z.
K(x,y) * z != (x * y) * L(u,y,x) | z = x * (T(y,x) * u).
(x * y) * L(z,x,y) = y * (T(x,y) * z).
K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y).
K(x,y \ 1) * ((y \ x) * z) = (x * (y \ 1)) * z.
L(x,T(y,z),z) = L(x,y,z).
(x * y) \ (y * z) = L(T(x,y) \ z,x,y).
L(T(x,y) \ z,x,y) = (x * y) \ (y * z).
L(x,y \ z,y) = L(x,z / y,y).
L(x,y / z,z) = L(x,z \ y,z).
L(x,y,z \ 1) = L(x,T(y,z),z \ 1).
L(x,T(y,z),z \ 1) = L(x,y,z \ 1).
L(x,y \ (z \ 1),z) = L(x,z \ (y \ 1),z).
a(x,y,(x * y) \ z) = L(z,x \ (y \ 1),y) \ z.
x != L(y,z \ (u \ 1),z) | x = L(y,u \ (z \ 1),z).
(((x \ 1) \ (y \ 1)) \ x) * (x \ (((x \ 1) \ (y \ 1)) * z)) = L(z,y \ ((x \ 1) \ 1),x \ 1).
(x \ y) * (y \ (x * z)) = L(z,x,1 / y).
(((x \ 1) \ (y \ 1)) \ x) * (x \ (((x \ 1) \ (y \ 1)) * z)) = L(z,y \ x,x \ 1).
K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z.
(x * (y / T(z,u))) \ ((x * y) * (u \ (z \ u))) = a(x,y,u \ (z \ u)).
x * T(y \ 1,z) = x / T(y,z).
x * y != z / z | x \ 1 = y.
T(x,y) \ 1 = T(x \ 1,y).
x * T(y \ (y / z),u) = x / T(z,u).
x * T(y \ z,u) = x / T(z \ y,u).
x / T(y \ z,u) = x * T(z \ y,u).
T(K(x,y),z) \ 1 = T(K(y,x),z).
T(x \ 1,y) / z = T(x,y) \ (z \ 1).
T(x \ y,z) \ 1 = T(y \ x,z).
x * K(1 / (x \ y),z) = y * T(y \ x,z).
x * T(x \ y,z) = y * K(1 / (y \ x),z).
(x * y) * T((x * y) \ y,z) = K(1 / x,z) * y.
(x * y) * T((x * y) \ y,z) = y * K(1 / T(x,y),z).
x * y != (z * x) * T((z * x) \ x,u) | T(K(1 / z,u),x) = y.
T(K(1 / x,y),z) = K(1 / T(x,z),y).
T(K(x,y),z) = K(1 / T(x \ 1,z),y).
K(1 / T(x \ 1,y),z) = T(K(x,z),y).
x != K(1 / y,z) | x = K(y \ 1,z).
T(K(x,y),z) = K(T(x \ 1,z) \ 1,y).
K(T(x \ 1,y) \ 1,z) = T(K(x,z),y).
x != K(T(y,z) \ 1,u) | x = K((y * z) \ z,u).
T(K(x,y),z) = K(((x \ 1) * z) \ z,y).
K(((x \ 1) * y) \ y,z) = T(K(x,z),y).
K(T(x,y) \ 1,z) = T(K(x \ 1,z),y).
T(K(x \ 1,y),z) = K(T(x,z) \ 1,y).
K(T(1 / x,y) \ 1,z) = T(K(x,z),y).
K((x \ y) \ y,z) = T(K(x,z),y).
K(T(x,y),z) = T(K(x,z),y).
T(K(x,y),z) = K(T(x,z),y).
(K(x,y) * z) * K(T(y,z),x) = z.
x * K(y,T(z,x)) = K(y,z) * x.
T(K(x,y),z) = K(x,T(y,z)).
K(x,y) * z != z * u | K(x,T(y,z)) = u.
x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x.
x * K(y,x \ z) = K(y,z / x) * x.
K(x,y / z) * z = z * K(x,z \ y).
x != T(K(y,z),u) | x = K((y \ u) \ u,z).
K(x,T(y,z)) = K((x \ z) \ z,y).
K((x \ y) \ y,z) = K(x,T(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)).
T(K(x,y),z) = K(x,(y \ z) \ z).
K(x,(y \ z) \ z) = T(K(x,y),z).
x / K(y,T(z,x)) = K(y,z) \ x.
x * T(K(x,y),z) = T(x,T(y,z)).
T(K(x,y \ 1),z) = K(x,T(y,z) \ 1).
x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x.
K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)).
K(x \ y,z) = K(y / x,T(z,x)).
K(x / y,T(z,y)) = K(y \ x,z).
K(x * y,z) = K(y * x,T(z,y)).
K(x * y,T(z,x)) = K(y * x,z).
K(x \ T(y * x,z),u) = K(x \ T(x * y,z),T(u,x)).
K(x \ T(x * y,z),T(u,x)) = K(x \ T(y * x,z),u).
K(x,T(y,z)) \ u = K(y,T(x,z)) * u.
x / K(y,T(z,u)) = x * K(z,T(y,u)).
K(x,T(y,z)) * T(x,z) = T(T(x,z),y).
x / (y * T(z,u)) = x * ((u \ (z \ u)) / y).
x * ((y \ (z \ y)) / u) = x / (u * T(z,y)).
(T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)).
L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)).
L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w.
T(x,y) * K(x * y,x) = R(x,y,x).
(x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x).
a(x * y,y \ 1,z) = a(x,y,y \ z) \ 1.
a(x,y,y \ z) \ 1 = a(x * y,y \ 1,z).
a(x * y,y \ 1,z) \ u = a(x,y,y \ z) * u.
a(x * y,y \ 1,z) * u = a(x,y,y \ z) \ u.
a(x,y \ 1,z) * u = a(x / y,y,y \ z) \ u.
a(x / y,y,y \ z) \ u = a(x,y \ 1,z) * u.
K(x,a(y,z \ 1,u) * 1) = K(a(y / z,z,z \ u),x).
K(a(x / y,y,y \ z),u) = K(u,a(x,y \ 1,z) * 1).
K(a(x / y,y,y \ z),u) = K(u,a(x,y \ 1,z)).
(T(x,y) * z) \ ((y \ x) * (y * z)) = a(y \ x,y,z) \ 1.
x != y * ((z * u) \ z) | x = y / u.
T(L(x \ y,x,z),(z * x) \ z) = L(y,z,x \ (z \ 1)) / x.
T(L(x \ y,x,z),x \ 1) = L(y,z,x \ (z \ 1)) / x.
x != T(L(y,z,u),w) | x = L(T(y,w),z,u).
L(x,y,z \ (y \ 1)) / z = L(T(z \ x,z \ 1),z,y).
L(T(x \ y,x \ 1),x,z) = L(y,z,x \ (z \ 1)) / x.
L(x / y,y,z) = L(x,z,y \ (z \ 1)) / y.
L(x,y,z \ (y \ 1)) / z = L(x / z,z,y).
(x * y) * z = (y * x) * (K(x,y * x) * z).
(x * y) * (K(y,x * y) * z) = (y * x) * z.
(x * y) * (K(y,x) * z) = (y * x) * z.
x != (y * z) / ((u \ y) * z) | x = R(u,u \ y,z).
(x * y) * (y \ (x \ z)) = R(z,z \ x,y).
R(x,x \ y,z) = (y * z) * (z \ (y \ x)).
x != (y * z) * (z \ (y \ u)) | x = R(u,y,z).
R(x,x \ y,z) = R(x,y,z).
R(x,T(y,x),z) = R(x,y * x,z).
R(x,y * x,z) = R(x,T(y,x),z).
(x \ 1) / (x \ K(x,y)) != z | K(y,x) = z.
x / T(x,y) != z | K(y,x) = z.
(x * (y / T(z,u))) \ ((x * y) / T(z,u)) = a(x,y,u \ (z \ u)).
(x * (y / z)) \ ((x * y) / z) = a(x,y,z \ 1).
x != (y * (z / T(u,w))) \ ((y * z) / T(u,w)) | x = a(y,z,w \ (u \ w)).
a(x,y,T(z,u) \ 1) = a(x,y,u \ (z \ u)).
((x * y) * z) / (y * z) != u * w | R(x,y,z) / w = u.
K(x,(y \ 1) \ 1) != z | z = K(x,y).
K(x,(y \ 1) \ 1) != z | K(x,y) = z.
K(x,R(y,z,y)) != u | K(x,y) = u.
K(x \ 1,y) != z | K(y,x) = z.
K(x,(y \ z) \ 1) != u | K(x,z \ y) = u.
K(K(x,y),z) != u | K(z,K(y,x)) = u.
L(K(x,y),z,u) != w | K(y,L(x \ 1,z,u)) = w.
T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u.
T(x * K(y,x),z) = T((y * x) / y,z).
T((x * y) / x,z) = T(y * K(x,y),z).
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)).
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)).
T(x,y) * K(y,T(x,y)) = x.
T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y).
T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)).
T(x,y) * T((x / K(y,x)) \ z,x) = ((x \ (z * K(y,x))) * x) / K(y,x).
((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x).
((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x).
x * y != z * K(u,z) | x \ ((u * z) / u) = y.
x \ ((y * x) / y) = K(y,x).
(x * K(y,x)) \ (y * x) = y.
(x * L(y,z,u)) / x = L(y * K(x,y),z,u).
L(x * K(y,x),z,u) = (y * L(x,z,u)) / y.
((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y).
T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)).
x != T(y * K(z,y),u) | x = T(y,u) * K(z,T(y,u)).
R(x,y,L(x,z,u)) = T(x,y) * K(y * L(x,z,u),T(x,y)).
T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)).
K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)).
K(x \ y,y) = K(y * (x \ 1),y).
K(x * (y \ 1),x) = K(y \ x,x).
K(x,y) * ((x \ y) * z) = (y * (x \ 1)) * z.
K(x,y) * (z * y) = y * (K(x,y) * T(z,y)).
x * (K(y,x) * T(z,x)) = K(y,x) * (z * x).
L(x,y \ z,z \ 1) = L(x,z / y,z \ 1).
L(x,y / z,y \ 1) = L(x,z \ y,y \ 1).
(((x / y) * z) \ x) * ((y \ 1) * z) = a(x \ 1,x / y,z).
((x \ (y / z)) * z) * ((y \ 1) * x) = a(z \ 1,z / y,x).
(((x * y) \ (x / z)) * z) * y = a(z \ 1,z / x,x * y).
x != (y * (y \ z)) * u | x = z * u.
K(x,x \ y) * ((x \ y) * (x * z)) = y * L(z,x,x \ y).
K(x,y) * ((x \ y) * (x * z)) = y * L(z,x,x \ y).
x != K(y,z) * ((y \ z) * u) | x = (z * (y \ 1)) * u.
x * L(y,z,z \ x) = (x * (z \ 1)) * (z * y).
(x * (y \ 1)) * (y * z) = x * L(z,y,y \ x).
(x / y) * (y * z) = x * L(z,y,y \ x).
x * L(y,z,z \ x) = (x / z) * (z * y).
x * y != (x / z) * (z * u) | y = L(u,z,x / z).
L(x,y,y \ z) = L(x,y,z / y).
L(x,y,z / y) = L(x,y,y \ z).
L(x,y,(y * z) / y) = L(x,y,z).
L(x,y,z) = L(x,y,T(z,y)).
L(x,y,T(z,y)) = L(x,y,z).
L(x,y,z * y) = L(x,y,y * z).
x * (y \ z) != u | u * (z \ y) = x.
((x / y) * z) * (z \ y) = R(x,1 / y,z).
(x \ y) * (y \ (x * z)) = R(z,1 / (x * z),y).
R(x,1 / (y * x),z) = (y \ z) * (z \ (y * x)).
x != (y \ z) * (z \ (y * u)) | x = L(u,y,1 / z).
R(x,1 / (y * x),z) = L(x,y,1 / z).
R(x,1 / y,z) = L(x,y / x,1 / z).
L(x,y / x,1 / z) = R(x,1 / y,z).
x != (y * z) / y | x = z * K(y,z).
L(x * K(y,x),z,u) = L(x,z,u) * K(y,L(x,z,u)).
L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z).
x * y != L(z,u,w) * K(v5,L(z,u,w)) | L(z * K(v5,z),u,w) / y = x.
L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)).
L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y).
x != (y * z) * T((y * z) \ u,y) | x = ((y \ (u / z)) * y) * z.
x * K((x \ (y * z)) \ 1,y) = ((y \ (x / z)) * y) * z.
((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x).
x != (y \ 1) * T((y \ 1) \ (y \ z),u) | x = y \ T(z,u).
(x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z).
K(x,y) * T(K(y,x) * z,u) = z * K((z \ K(x,y)) \ 1,u).
x * T(x \ y,z) = y * K(x \ y,z).
R(x * y,x,z) \ (x * y) = a(x * z,z \ 1,y).
a(x * y,y \ 1,z) = R(x * z,x,y) \ (x * z).
((x \ y) * x) * K(z,x) = ((z * x) / z) * T(((z * x) / z) \ (y * (x \ ((z * x) / z))),x).
((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y).
((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y).
x != ((y * z) / y) * T(((y * z) / y) \ u,w) | x = (y * (z * T(z \ T(u,y),w))) / y.
((x \ y) * x) * K(z,x) = (z * (x * T(x \ T(y * K(z,x),z),x))) / z.
(x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y).
(x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y).
(((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x).
((x \ y) * x) * K(z,x) = (x \ (y * K(z,x))) * x.
(x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x).
(((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x).
T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x.
T(x,y) * T(y,z) = (y \ (x * T(y,z))) * y.
(x \ (y * T(x,z))) * x = T(y,x) * T(x,z).
x * K(x,y) != z | T(x,y) = z.
T(x,y * z) = T(x,T(z * y,z)).
T(x,T(y * z,y)) = T(x,z * y).
T(x,K(T(x,y),z)) = x.
K(T(x,y),z) * x = x * K(T(x,y),z).
K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u).
K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u).
K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u).
K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u).
(K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u).
(K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u).
(T(x,y) * K(x,z)) * L(u,T(x,z),K(x,y)) = K(x,y) * (T(x,z) * u).
x \ T(x * y,z) = y * K((x \ 1) \ y,z).
(x * T(x \ y,z)) \ y = K(z,x \ y).
T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z).
T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y).
x != T(y,z) * R(T(u,y),w,v5) | x = K(y,z) * (R(u,w,v5) * y).
R(x,y,z) * T(u,u * x) = K(u,u * x) * (R(x,y,z) * u).
K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y).
K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y).
x != ((y \ (z / u)) * y) * u | x = u * ((y \ (u \ z)) * y).
x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y).
x * K(y \ 1,x) = y * ((x \ (y \ x)) * x).
x * ((y \ (x \ y)) * y) = y * K(x \ 1,y).
x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y).
(x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z).
(x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u).
(x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u).
((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u).
x / T(K(y,z) * u,w) = x * T(u \ K(z,y),w).
L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y).
K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u).
T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u.
K(x,1 / (y \ z)) = K(x,z \ y).
K(x,T(y,z)) * T(x,z) = T(T(x,y),z).
K(x,y \ z) * T(x,z) = T(T(x,z),z / y).
T(T(x,y),z) != u | T(T(x,z),y) = u.
x * (1 / (1 / (x \ y))) = z / (1 / (1 / (y \ z))).
x / (1 / (1 / (y \ x))) = z * (1 / (1 / (z \ y))).
(x * (1 / (1 / (x \ y)))) \ z = 1 / (1 / (y \ z)).
(x * K(y \ z,z \ y)) \ u = 1 / (1 / (x \ u)).
(x * K(y \ 1,y)) \ z = 1 / (1 / (x \ z)).
((1 / (1 / x)) * y) \ z = 1 / (1 / ((x * y) \ z)).
1 / (1 / ((x * y) \ z)) = ((1 / (1 / x)) * y) \ z.
(((1 / (1 / x)) * y) \ z) \ 1 = 1 / ((x * y) \ z).
(((1 / x) * y) \ z) \ 1 = 1 / (((x \ 1) * y) \ z).
1 / (((x \ 1) * y) \ z) = (((1 / x) * y) \ z) \ 1.
((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z.
((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z.
(x \ y) / (T(x,z) \ y) = K(x,z).
(x * y) * (y \ z) = (y * x) * (T(y,x) \ z).
(x * y) * (T(x,y) \ z) = (y * x) * (x \ z).
T(T(x,y),x \ y) = (x \ y) \ T(y,x \ 1).
(x \ y) \ T(y,x \ 1) = T(T(x,y),x \ y).
x != T(T(y,z),y \ u) | x = T(T(y,u),z).
(x \ y) \ T(y,x \ 1) = T(T(x,y),y).
x = L(x,y \ 1,y).
L(x,y \ 1,y) = x.
x != y | x = 1 / (1 / y).
L(x,y \ 1,y) = 1 / (1 / x).
x != L(R(y,z,u),w,y) | x = R(1 / (1 / y),z,u).
1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z).
1 / (1 / T(x,y)) = T(1 / (1 / x),y).
R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z).
R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u).
(((1 / x) * y) \ y) \ 1 = 1 / R(T(x,(1 / x) * y),1 / x,y).
1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1.
1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1.
1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1.
1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1.
(((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x).
(x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u.
L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w.
T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x).
T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x).
T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x).
L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x).
((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y).
(L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y).
1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1.
((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 != z | z = R(T(y,x),y \ 1,x * y).
((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 != z | R(T(y,x),y \ 1,x * y) = z.
R(T(x,y),x \ 1,y * x) = ((x \ 1) * (x * y)) \ (x * y).
((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x).
(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) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z.
(x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z.
x != (y * z) * ((u \ L(w,z,y)) * u) | x = y * (z * ((u \ w) * u)).
(x * K(y \ 1,z)) * z = x * (y * ((z \ (y \ z)) * z)).
x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z.
x * (y * K(z \ 1,y)) = (x * K(z \ 1,y)) * y.
(x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)).
R(x,K(y \ 1,z),z) = x.
R(x,K(y,z),z) = x.
R(x,1,y) = x.
x * (y * K(z,y)) = (x * K(z,y)) * y.
(x * K(y,z)) * z = x * (z * K(y,z)).
x * y = (x * K(y,z)) * (y * K(z,y)).
(x * K(y,z)) * (y * K(z,y)) = x * y.
x / (y * K(z,y)) = (x / y) * K(y,z).
x / ((y * z) / y) = (x / z) * K(z,y).
(x * y) / ((z * y) / z) = x * K(y,z).
x / (y / (y / z)) = (x / z) * K(z,y / z).
x * K(y,z) = (x / ((z * y) / z)) * y.
(x / ((y * z) / y)) * z = x * K(z,y).
K(x \ 1,x) * y != (K(x \ 1,x) * z) / u | y = z / u.
K(x,y) = x / ((y * x) / y).
x / ((y * x) / y) = K(x,y).
x * y = (x * ((z * y) / z)) * K(y,z).
(x * ((y * z) / y)) * K(z,y) = x * z.
(x * (y / z)) * K(z \ y,z) = x * (z \ y).
((x \ y) * z) * R(x,y,z) = T(y * z,z \ (y \ x)).
x != T(K(y,z),u) | x = K(y,T(z,u)).
(K(x,y) * z) \ z = K(y,T(x,z)).
T(x,y) / ((y * x) \ x) = x * y.
(x * y) * ((y * x) \ x) = T(x,y).
K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z.
x != y * T(y \ 1,z) | x = K(y \ 1,z).
(x * T(x \ y,z)) / y = K((x / y) \ 1,z).
K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u).
K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u).
K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u).
x != ((y * z) * u) / (z * u) | x = R(y,z,u).
K(x \ (x / R(y,z,u)),x) = R(y * T(y \ 1,x),z,u).
R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y).
R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
R(K(x,y),z,u) = K(R(1 / x,z,u) \ 1,y).
K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z).
R(R(K(x,y),z,u),w,v5) = K(R(R(1 / x,z,u),w,v5) \ 1,y).
K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w).
K((((x \ y) * z) / (y * z)) \ 1,u) = R(R(K(x,u),x,w),y,z).
R(R(K(x,y),x,z),u,w) = K((((x \ u) * w) / (u * w)) \ 1,y).
R(K(x,y),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y).
K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z).
x != K((y / z) \ 1,u) | x = K(z / y,u).
R(K(x,y),z,u) = K((z * u) / ((x \ z) * u),y).
K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y).
K((x * y) / (z * y),u) = R(K(x / z,u),x,y).
R(K(x / y,z),x,u) = K((x * u) / (y * u),z).
R(K(x / (y / z),u),x,z) = K((x * z) / y,u).
x * y != z / ((u * z) / u) | x \ K(z,u) = y.
x \ K(x,y) = ((y * x) / y) \ 1.
((x * y) / x) \ 1 = y \ K(y,x).
L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u).
x * (y * (((z / u) * u) * w)) = x * (y * (z * w)).
x * (y * (z * (((u / w) * w) * v5))) = x * (y * (z * (u * v5))).
K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z.
K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z.
K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z.
K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z.
T(x \ y,z) \ u = T(y \ x,z) * u.
(L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w).
x * y != z \ K(u,u \ 1) | x \ (1 / z) = y.
x \ (1 / L(x,y,z)) = L(x,y,z) \ (1 / x).
L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)).
x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y.
x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z.
(1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z.
(1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z.
(1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z).
K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z).
x * y != (1 / z) * (K(z,u) * w) | x \ (K(z,u) * ((1 / z) * w)) = y.
(K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z).
L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y).
K(T(1 / x,K(x,y) * z) \ 1,u) = L(T(K(x,u),z),z,K(x,y)).
L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y).
x != K(T(1 / y,z) \ 1,u) | x = T(K(y,u),z).
L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z).
K(x,(y / z) \ 1) * y = y * K(x,y \ z).
K(x,T((y / z) \ 1,y)) = K(x,y \ z).
R(x,(y \ 1) \ x,z) = R(x,T(y,x),z).
a(T(x,y),z,z \ T(x \ y,x)) = R(y,T(x,y),z) / y.
a(T(x,y),z,z \ T(x \ y,x)) = R(y,x * y,z) / y.
K(L(x \ 1,x,y),z) = K(1 / x,z).
K(L(1 / x,x,y),z) = K(1 / x,z).
1 / K(1 / x,y) = K(y,L(1 / x,x,z)).
K(x,L(1 / y,y,z)) = 1 / K(1 / y,x).
x != 1 / K(y,z) | x = K(z,y).
K(x,L(1 / y,y,z)) = K(x,1 / y).
K(x,y) * (y * z) = ((x * y) / x) * z.
(x / y) \ (x * (y \ z)) = L(z,y \ 1,x).
(x / y) * (y * (x \ z)) = L(z,x \ 1,y).
x \ L(x,y \ 1,z) = a(y,z \ 1,z * (y \ x)).
a(x,y \ 1,y * (x \ z)) = z \ L(z,x \ 1,y).
a(x,y \ 1,y * (x \ (T(x \ 1,y) \ z))) = (T(x \ 1,y) \ z) \ (((x \ 1) * y) \ (y * z)).
a(x,y \ 1,y * (x \ (T(1 \ x,y) * z))) = (T(x \ 1,y) \ z) \ (((x \ 1) * y) \ (y * z)).
a(x,y \ 1,y * (x \ (T(x,y) * z))) = (T(x \ 1,y) \ z) \ (((x \ 1) * y) \ (y * z)).
a(x,y \ 1,y * (K(x,y) * z)) = (T(x \ 1,y) \ z) \ (((x \ 1) * y) \ (y * z)).
(T(x \ 1,y) \ z) \ (((x \ 1) * y) \ (y * z)) = a(x,y \ 1,y * (K(x,y) * z)).
(T(1 \ x,y) * z) \ (((x \ 1) * y) \ (y * z)) = a(x,y \ 1,y * (K(x,y) * z)).
(T(x,y) * z) \ (((x \ 1) * y) \ (y * z)) = a(x,y \ 1,y * (K(x,y) * z)).
(T(x,y) * z) \ ((x \ y) \ (y * z)) = a(x,y \ 1,y * (K(x,y) * z)).
(T(x,y) * z) \ ((y \ x) * (y * z)) = a(x,y \ 1,y * (K(x,y) * z)).
x != (T(y,z) * u) \ ((z \ y) * (z * u)) | x = a(z \ y,z,u) \ 1.
a(x,y \ 1,y * (K(x,y) * z)) = a(y \ x,y,z) \ 1.
K(x,1 / L(y,z,u)) = K(x,(u * (z * y)) \ (u * z)).
K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)).
K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)).
K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)).
K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y).
K(x \ y,z) * (y / x) = T(y / x,T(z,x)).
T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)).
K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)).
L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)).
K(x \ y,x) * (x \ z) = ((x \ y) \ y) \ z.
((x \ y) \ y) \ z = K(x \ y,x) * (x \ z).
T(x,y) / z = (x / z) * K(y \ (y / ((x / z) \ (1 / z))),y).
(x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y.
T(x,y * K(x,y)) / (T(x,y) * y) = z / ((y * K(x,y)) * z).
T(K(x \ K(y,z),u),w) = K(T(K(z,y) * x,w) \ 1,u).
K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u).
K(x \ 1,y) = T(K(x \ K(x,z),y),z).
T(K(x \ K(x,y),z),y) = K(x \ 1,z).
x * K(y \ 1,z) = K(y \ K(y,x),z) * x.
K(x \ K(x,y),z) * y = y * K(x \ 1,z).
T(x,y \ 1) = T(x,(y \ z) / z).
T(x,(y \ z) / z) = T(x,y \ 1).
T(x,y \ K(y,z)) = T(x,z / (z * y)).
K((x / y) \ 1,z) * y = x * T(x \ y,z).
x != (1 / y) * T((1 / y) \ z,u) | x = T(z * y,u) / y.
K(((1 / x) / y) \ 1,z) * y = T(y * x,z) / x.
T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x.
T(x,y) / z = K(((1 / z) / (x / z)) \ 1,y) * (x / z).
K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x.
T(x,T(y \ 1,z)) = T(x,T(1 / y,z)).
T(x,T(1 / y,z)) = T(x,T(y \ 1,z)).
T(x,T((y \ z) / z,u)) = T(x,T(y \ 1,u)).
T(x,y \ (z \ y)) = T(x,T(z \ 1,y)).
T(x,T(y \ 1,z)) = T(x,z \ (y \ z)).
K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w.
(x * (y * x)) / x = L(x,z,x) * y.
K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)).
x * K(y,T(z \ x,u)) = K(y,T(x / z,u)) * x.
K(x,T(y / z,u)) * y = y * K(x,T(z \ y,u)).
K(x,T(y / z,u)) * y = y * K(x,T((y \ z) \ 1,u)).
x * K(y,T((x \ z) \ 1,u)) = K(y,T(x / z,u)) * x.
x * K(y,T((x \ z) \ 1,u)) = K(y,T((z / x) \ 1,u)) * x.
K(x,T((y / z) \ 1,u)) * z = z * K(x,T((z \ y) \ 1,u)).
x * y != y * K(z,T((y \ u) \ 1,w)) | x = K(z,T(y / u,w)).
K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)).
x != T(y,y / z) | x = z * ((y * (z \ y)) / y).
T(x,y \ x) = y * ((x * (y \ x)) / x).
x * ((y * (x \ y)) / y) = T(y,x \ y).
T(T(x,y \ x) / y,x) = x / y.
K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z).
x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z).
(x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)).
x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z).
(x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)).
x != y * ((z * (y \ 1)) / z) | x = K(z,y \ 1).
x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1).
x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y).
K(x * K(y,(x \ z) \ 1),T(u,z)) = K(((y * (z \ x)) / y) * z,u).
K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)).
K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)).
L(x,T(y,T(z,y)) \ y,z) = x.
L(x,T(y,z) \ y,(y * z) / y) = x.
x / T(y * x,y \ 1) = (y * x) \ x.
((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x).
((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x).
((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x).
x * y != L(z,T(u,w) \ u,(u * w) / u) | x \ z = y.
((x * y) / x) \ z = y \ ((T(x,y) \ x) * z).
x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z.
x * (((y * x) / y) \ z) = (T(y,x) \ y) * z.
x != (T(y,z) \ y) * u | x = T(z,y) * (z \ u).
x * (((y * x) / y) \ z) = T(x,y) * (x \ z).
x * y != T(x,z) * u | y = K(x,z) * u.
((x * y) / x) \ z = K(y,x) * (y \ z).
x * K(y,y \ x) = y * (x / y).
x * K(x * y,y \ 1) = (x * y) * (x / (x * y)).
(x * y) * (x / (x * y)) = x * K(x * y,y \ 1).
x * (y \ z) != u | x / (z \ y) = u.
T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u.
x / x != y * z | y \ 1 = z.
x != (y * (z / u)) \ w | x = ((u / z) / y) * w.
L(x,(y \ z) / x,y) = ((x / (y \ z)) / y) * z.
L(x,(y \ z) / x,y) = ((x * (z \ y)) / y) * z.
(x \ y) * (T(x,y) * z) = (y / x) * (x * z).
R(x,x \ y,y \ (z \ y)) = (z \ y) / ((x \ y) / T(z,y)).
x != y / (z / u) | x = y * (u / z).
R(x,x \ y,y \ (z \ y)) = (z \ y) * (T(z,y) / (x \ y)).
R(x,x \ y,y \ (z \ y)) = (z \ y) * (T(z,y) * (y \ x)).
x != (y \ z) * (T(y,z) * u) | x = (z / y) * (y * u).
R(x,x \ y,y \ (z \ y)) = (y / z) * (z * (y \ x)).
x != (y / z) * (z * (y \ u)) | x = L(u,y \ 1,z).
R(x,x \ y,y \ (z \ y)) = L(x,y \ 1,z).
x != R(y,y \ z,u) | x = R(y,z,u).
L(x,y \ 1,z) = R(x,y,y \ (z \ y)).
R(x,y,y \ (z \ y)) = L(x,y \ 1,z).
x != R(y,z,z \ u) | x = ((y * z) * (z \ u)) / u.
T((x * (y \ z)) / (y * (y \ z)),y) = (((y \ x) * y) * (y \ z)) / z.
T((x * (y \ z)) / (y * (y \ z)),y) = (T(x,y) * (y \ z)) / z.
T((x * (y \ z)) / z,y) = (T(x,y) * (y \ z)) / z.
(T(x,y) * (y \ z)) / z = T((x * (y \ z)) / z,y).
(x / y) * K(z,y) = x * T(x \ (x / y),z).
x != y * T(z \ (z / u),w) | x = y / T(u,w).
(x / y) * K(z,y) = x / T(y,z).
(x / T(y,z)) * K(y,z) = x / y.
x * K(y,z) = (x * z) / T(z,y).
(x * y) / T(y,z) = x * K(z,y).
x != (y * z) / T(z,u) | x = (y / T(z,u)) * z.
x * K(y,z) = (x / T(z,y)) * z.
(x / T(y,z)) * y = x * K(z,y).
T(x,y) / T(x,z) = K(x,y) * K(z,x).
x * y = (x * T(y,z)) * K(z,y).
(x * T(y,z)) * K(z,y) = x * y.
(x / (y \ z)) * (z / y) = x * K(y,z / y).
((x * y) \ y) * (x * y) = y * K(x \ 1,x * y).
(x / (y \ z)) * (z / y) = x * K(y,z).
(x * (y \ z)) * (y / z) = x * K(z,y).
K(x \ y,z) * (z * K(y,x)) = ((x \ y) * z) * (x / y).
K(x,y \ z) * (x * K(y,z)) = ((z \ y) * x) * (z / y).
T(x,y \ z) * K(y,z) = ((z \ y) * x) * (z / y).
((x \ y) * z) * (x / y) = T(z,y \ x) * K(y,x).
(x * y) * K(y,z) = x * T(y,z).
x * K(y,z) = (x / y) * T(y,z).
(x / y) * T(y,z) = x * K(y,z).
(x * y) * z != x * T(y,u) | z = L(K(y,u),y,x).
K(x,y) = L(K(x,y),x,z).
L(K(x,y),x,z) = K(x,y).
x * y != (z * u) * K(u,w) | x \ (z * T(u,w)) = y.
(x * y) \ (y * T(x,z)) = K(y,x) * K(x,z).
(x * y) * K(y,z) != x * u | T(y,z) = u.
(x * (y * z)) * K(y * z,y) = x * (z * y).
T(x,y) * K(y,z) = (y \ x) * T(y,z).
(x \ y) * T(x,z) = T(y,x) * K(x,z).
K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u.
(x * (y * z)) * K(z,y) = x * (z * y).
x != K(y,z) | x = L(K(y,z),y,u).
L(K(x,y),x,z) = L(K(x,y),x,u).
L(K(x,y),x,z) != u | u = K(x,y).
L(K(x,y),x,z) != u | K(x,y) = u.
x * K(y,z) = (x / (z * y)) * (y * z).
(x / (y * z)) * (z * y) = x * K(z,y).
((x * y) * z) * K(z,y) = R(x,y,z) * (z * y).
x != (y * z) * K(z,u) | x = y * T(z,u).
R(x,y,z) * (z * y) = (x * y) * T(z,y).
x * y != y * T(z,u) | x = T(z * K(y,z),u).
R(x,y,x) = T(x * K(x * y,x),y).
T(x * K(x * y,x),y) = R(x,y,x).
x * (y * z) != (u * z) * T(y,z) | x = R(u,z,T(y,z)).
R(x,y,z) = R(x,y,T(z,y)).
R(x,y,T(z,y)) = R(x,y,z).
((x * y) * (z / (y * x))) / (z * K(x,y)) = K(x * y,z / (y * x)).
T(x * K(y,z),(y * z) \ 1) = (y * z) * (x / (z * y)).
(x / ((y * z) * T(u,z))) * ((u * z) * R(y,z,u)) = x * K(u * z,R(y,z,u)).
T(x * K(y,z),z \ (y \ 1)) = (y * z) * (x / (z * y)).
T(x * K(y * z,u),u \ (z \ (y \ 1))) = ((y * z) * u) * (x / (u * (y * z))).
x != y / (z * K(u,w)) | x = y * (K(w,u) / z).
K(x * y,z / (y * x)) = ((x * y) * (z / (y * x))) * (K(y,x) / z).
((x * y) * (z / (y * x))) * (K(y,x) / z) = K(x * y,z / (y * x)).
x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z).
(x * y) \ (y * T(x,z)) = K(x,z) * K(y,x).
(x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)).
(x / y) \ T(x,z) = y * K(x,z).
T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z.
(x * K(y,z)) * y = x * T(y,z).
x * y != z * T(u,w) | x \ ((z * u) * K(u,w)) = y.
(x * K(y,z)) \ ((x * y) * K(y,z)) = y.
x * y != T(z,y) * T(y,u) | x = y \ (z * T(y,u)).
T(x,y) * K(y,z) = y \ (x * T(y,z)).
x \ (y * T(x,z)) = T(y,x) * K(x,z).
x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u.
(x * y) * z = (x * T(y,z)) * T(z,y).
(x * T(y,z)) * T(z,y) = (x * y) * z.
T(x,y) = R(T(x,y * K(x,z)),y,K(x,z)).
R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y).
T(x * K(y,z),y) = T(x,y) * K(y,z).
T(x,y) * K(y,z) = T(x * K(y,z),y).
x * K(y,z) != T((K(z,y) * u) * K(y,z),w) | x = K(z,y) * T(u,w).
T(K(x,y) * z,y) = K(x,y) * T(z,y).
K(x,y) * T(z,y) = T(K(x,y) * z,y).
x * y != T(z,u) * K(u,w) | T(z * K(u,w),u) / y = x.
T(x * K(y,z),y) / (x * K(y,z)) = K(x,y).
T(x,y) * K(z,y) = T(x * K(y,z \ 1),y).
T(x * K(y,z \ 1),y) = T(x,y) * K(z,y).
T(x * K(y,z),z) = T(x,z) * K(y,z).
T(x,y) * K(z,y) = T(x * K(z,y),y).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
K(x,y) * T(z,x) = T(K(x,y) * z,x).
T(x,y \ z) * K(y,z) = T(x * K(y,y \ z),y \ z).
T(x * K(y,y \ z),y \ z) = T(x,y \ z) * K(y,z).
T(x * K(y,z),y \ z) = T(x,y \ z) * K(y,z).
T(x,y \ z) * K(y,z) = T(x * K(y,z),y \ z).
x != T(y,z \ u) * K(z,u) | x = ((u \ z) * y) * (u / z).
T(x * K(y,z),y \ z) = ((z \ y) * x) * (z / y).
((x \ y) * z) * (x / y) = T(z * K(y,x),y \ x).
K(x * K(y,z),y) = K(x,y).
K(K(x,y) * z,x) = K(z,x).
K(x,y) = K(K(y,z) \ x,y).
K(K(x,y) \ z,x) = K(z,x).
K(x \ y,z) = K(x \ T(y,z),z).
K(x \ T(y,z),z) = K(x \ y,z).
K(x \ ((y \ z) * y),y) = K(x \ z,y).
T(x * y,K(y,z)) = y * T(x,T(y,z)).
x * T(y,T(x,z)) = T(y * x,K(x,z)).
x * T(y / x,T(x,z)) = T(y,K(x,z)).
(x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)).
K(x * y,K(y,z)) = K(z,K(y,x)).
x * (K(y,x) * T(z,x)) = (K(y,x) * z) * x.
x != y * (K(z,y) * T(u,y)) | x = K(z,y) * (u * y).
(K(x,y) * z) * y = K(x,y) * (z * y).
L(x,y,K(z,x)) = x.
L(x,y,K(x,z)) = x.
(K(x,y) * z) * x = K(x,y) * (z * x).
R(K(x,y),z,x) = K(x,y).
x != K(y,z) * (u * y) | x = T(y,z) * T(u,y).
(K(x,y) * z) * x = T(x,y) * T(z,x).
(T(x,y) * (x \ z)) * x = T(x,y) * T(z,x).
x * y != T(x,z) * T(u,x) | T(T(x,z) * (x \ u),x) = y.
T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)).
T(x,y) * (x \ T(z,x)) = T(T(x,y) * (x \ z),x).
T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x).
T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x).
x != T(y,y * z) * R(y \ T(y * z,y),u,w) | x = T(y * R(z,u,w),y * z).
T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y).
T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y).
(x / (y \ z)) * K(z / y,y) = x / (z / y).
((x * y) \ y) * (x * y) = y * K(x \ 1,y * x).
R(x,y,y \ (z \ y)) = R(x,y,z \ 1).
x != R(y,z,z \ (u \ z)) | x = L(y,z \ 1,u).
R(x,y,z \ 1) = L(x,y \ 1,z).
R(x,y,z \ u) = L(x,y \ 1,u \ z).
L(x,y \ 1,z \ u) = R(x,y,u \ z).
L(x,y \ z,u \ w) = R(x,z \ y,w \ u).
R(x,y \ z,u \ w) = L(x,z \ y,w \ u).
R(x,y \ z,u) = L(x,z \ y,u \ 1).
L(x,y \ z,u \ 1) = R(x,z \ y,u).
x != L(y,z \ u,u \ 1) | x = (((u \ 1) \ (z \ 1)) \ u) * (u \ (((u \ 1) \ (z \ 1)) * y)).
R(x,y \ z,y) = (((y \ 1) \ (z \ 1)) \ y) * (y \ (((y \ 1) \ (z \ 1)) * x)).
(((x \ 1) \ (y \ 1)) \ x) * (x \ (((x \ 1) \ (y \ 1)) * z)) = R(z,x \ y,x).
L(x,y * z,u \ 1) = R(x,z \ (y \ 1),u).
R(x,y \ (z \ 1),u) = L(x,z * y,u \ 1).
L(x,y,z \ 1) = R(x,y \ 1,z).
R(x,y \ 1,z) = L(x,y,z \ 1).
R(x,y / z,u) = L(x,z / y,u \ 1).
L(x,y / z,u \ 1) = R(x,z / y,u).
((x * (y \ 1)) \ x) * (x \ (((x \ 1) \ (y \ 1)) * z)) = R(z,x \ y,x).
((x / y) \ x) * (x \ (((x \ 1) \ (y \ 1)) * z)) = R(z,x \ y,x).
x * (y \ (((y \ 1) \ (x \ 1)) * z)) = R(z,y \ x,y).
x * (y \ ((y * (x \ 1)) * z)) = R(z,y \ x,y).
x * (y \ ((y / x) * z)) = R(z,y \ x,y).
a(x,y \ 1,(y / x) * z) \ 1 = z \ R(z,y \ x,y).
x != L(y,z / u,z \ 1) | x = L(y,u \ z,z \ 1).
R(x,y / z,z) = L(x,y \ z,z \ 1).
L(x,y \ z,z \ 1) = R(x,y / z,z).
x != L(y,z \ u,w \ 1) | x = R(y,u \ z,w).
R(x,y / z,z) = R(x,z \ y,z).
R(x,(y \ 1) / T(z,u),T(z,u)) = R(x,T(z \ 1,u) / y,T(z,u)).
R(x,T(y \ 1,z) / u,T(y,z)) = R(x,(u \ 1) / T(y,z),T(y,z)).
R(x,T(y \ 1,z) / u,T(y,z)) = R(x,u \ (T(y,z) \ 1),T(y,z)).
x != R(y,z \ (u \ 1),w) | x = L(y,u * z,w \ 1).
R(x,T(y \ 1,z) / u,T(y,z)) = L(x,T(y,z) * u,T(y,z) \ 1).
R(x,T(y \ 1,z) / u,T(y,z)) = L(x,T(y,z) * u,T(y \ 1,z)).
R(x,T(y,z) \ (u \ 1),T(y,z)) = L(x,T(y,z) * u,T(y \ 1,z)).
L(x,T(y,z) * u,T(y \ 1,z)) = L(x,u * T(y,z),T(y,z) \ 1).
L(x,T(y,z) * u,T(y \ 1,z)) = L(x,u * T(y,z),T(y \ 1,z)).
x != y / (z \ 1) | x = y * z.
R(x,y,y \ (z \ 1)) = ((x * y) / (z * y)) * z.
((x * y) / (z * y)) * z = R(x,y,y \ (z \ 1)).
x != ((y * z) / (u * z)) * u | x = u * R(u \ y,u,z).
R(x,y,y \ (z \ 1)) = z * R(z \ x,z,y).
R(x,y \ z,(y \ z) \ (y \ 1)) = y * ((((y \ x) * y) * (y \ z)) / z).
x * ((((x \ y) * x) * (x \ z)) / z) = R(y,x \ z,(x \ z) \ (x \ 1)).
x * ((((x \ y) * x) * (x \ z)) / z) = R(y,x \ z,(z \ x) * (x \ 1)).
x * ((((x \ y) * x) * (x \ z)) / z) = R(y,x \ z,(z \ x) / x).
x * ((((x \ y) * x) * (x \ z)) / z) = R(y,x \ z,z \ 1).
x * ((T(y,x) * (x \ z)) / z) = R(y,x \ z,z \ 1).
x * T((y * (x \ z)) / z,x) = R(y,x \ z,z \ 1).
((x * (y \ z)) / z) * y = R(x,y \ z,z \ 1).
x != ((y * (z \ u)) / u) * z | x = L(y,(u \ z) / y,u).
R(x,y \ z,z \ 1) = L(x,(z \ y) / x,z).
R(x,(y * z) \ y,y \ 1) = L(x,z / x,y).
R(x,y \ 1,z \ 1) = L(x,y / x,z).
x != R(y,z,u \ 1) | x = L(y,z \ 1,u).
L(x,y / x,z) = L(x,(y \ 1) \ 1,z).
L(x,(y \ 1) \ 1,z) = L(x,y / x,z).
L(x,y,z) = L(x,y / x,z).
L(x,y / x,z) = L(x,y,z).
x != L(y,z / y,1 / u) | x = R(y,1 / z,u).
L(x,y,1 / z) = R(x,1 / y,z).
R(x,1 / y,z) = L(x,y,1 / z).
x != L(y,z / y,u) | x = (u * (z / y)) \ (u * z).
L(x,y,z) = (z * (y / x)) \ (z * y).
(x * (y / z)) \ (x * y) = L(z,y,x).
L(x,y,z) = L(x,y * x,z).
L(x,y * x,z) = L(x,y,z).
L(x \ y,x,z) = L(x \ y,y,z).
L(x \ y,y,z) = L(x \ y,x,z).
(x * y) / L(z,y,x) = x * (y / z).
L(x,y,z) = ((x / y) / z) * (z * y).
((x / y) / z) * (z * y) = L(x,y,z).
x * y != (z * (u / w)) \ (z * u) | L(w,u,z) / y = x.
L(x,y,z) / (z * y) = (x / y) / z.
(x * y) \ (x * z) = L(y \ z,z,x).
L(x \ y,y,z) = (z * x) \ (z * y).
(x * (y * z)) \ (x * y) = L(z \ 1,y,x).
(x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x).
(x / y) * (y * z) = L(x * z,z,y).
L(x * y,y,z) = (x / z) * (z * y).
((x / y) / (z \ 1)) * (z \ y) = L(x,y,z \ 1).
(1 / x) * (x * y) = L(y,y,x).
L(x,x,y) = (1 / y) * (y * x).
((x / y) * (y * z)) \ x = L(z \ 1,y,x / y).
x * L(y \ 1,z,u) = x / L(y,z,u).
L(x,y,z) \ 1 = L(x \ 1,y,z).
x * L(K(y,z),u,w) = x / L(K(z,y),u,w).
x / L(K(y,z),u,w) = x * L(K(z,y),u,w).
x * L(y \ z,u,w) = x / L(z \ y,u,w).
x / L(y \ z,u,w) = x * L(z \ y,u,w).
L(K(x,y),z,u) \ 1 = L(K(y,x),z,u).
1 / 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) \ w != v5 | L(K(y,x),z,u) * w = v5.
x != (1 / y) * (y * z) | x = z.
L(x,x,y) = x.
R(x,y,z) = L(R(x,y,z),x,u).
L(R(x,y,z),x,u) = R(x,y,z).
L(x,y,z) = L(L(x,y,z),x,u).
L(L(x,y,z),x,u) = L(x,y,z).
(x * y) * y = x * (y * y).
(x * y) * y != z | x * (y * y) = z.
(x * y) * L(y,z,u) = x * (y * L(y,z,u)).
x * y = (x / y) * (y * y).
(x / y) * (y * y) = x * y.
L(L(x,y,z),u,w) = L(L(x,u,w),y * x,z).
L(L(x,y,z),u * x,w) = L(L(x,u,w),y,z).
(x * (y * z)) * L(z,y,x) = x * ((y * z) * z).
L(x \ 1,y,z) * u != w | L(x,y,z) \ u = w.
K(x,L(y \ 1,z,u)) = K(L(y,z,u),x).
x != K(y,L(z \ 1,u,w)) | x = L(K(z,y),u,w).
K(L(x,y,z),u) = L(K(x,u),y,z).
L(K(x,y),z,u) = K(L(x,z,u),y).
L(K(x \ (y \ z),u),x,y) = K((y * x) \ z,u).
L(K(x,y),z,K(u,x)) = K(x,y).
L(K(x,y),z,K(x,u)) = K(x,y).
L(K(x,y),z,u) = K(L(x,z / x,u),y).
K(L(x,y / x,z),u) = L(K(x,u),y,z).
L(K(x,y),z * x,u) = K(L(x,z,u),y).
L(K(x,y),z,u) \ 1 = K(y,L(x,z / x,u)).
K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1.
x != L(K(y,z),u,w) \ 1 | x = L(K(z,y),u,w).
K(x,L(y,z / y,u)) = L(K(x,y),z,u).
K(x * L(K(y,z),u,w),y) = K(x,y).
K(x,L(y,z,u)) = L(K(x,y),z,u).
L(K(x,y),z,u) = K(x,L(y,z,u)).
K(x,y) = K(x,L(y,x,z)).
K(x,L(y,x,z)) = K(x,y).
K(x,L(y \ 1,z,u)) = K(y,L(x,z,u)).
x != L(K(y,z),u,w) | x = K(L(y,u,w),z).
K(x,L(y,z,u)) = K(L(x,z,u),y).
K(L(x,y,z),u) = K(x,L(u,y,z)).
L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)).
x * L(K(x,y),z,u) = T(x,L(y,z,u)).
(x * y) * K(y,L(z,y,x)) = x * T(y,z).
(x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)).
K(x,L(y,x,z)) != u | K(x,y) = u.
L(K(x,y),y,z) = K(x,y).
L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))).
K(x,y) = K(x,L(y,z,x)).
K(x,L(y,z,x)) = K(x,y).
K(L(x,y,z),z) = K(x,z).
K(L(x,y,K(z,u)),u) = K(x,u).
K(x,y) = K(x,L(y,z,K(x,u))).
K(x,L(y,z,K(x,u))) = K(x,y).
x != K(y,z) | x = K(R(y,y \ 1,u),z).
K(x,y) = K(R(x,x \ 1,z),L(y,x,u)).
K(R(x,x \ 1,y),L(z,x,u)) = K(x,z).
(x * x) * y = x * (x * y).
x != (y \ 1) * z | x = y \ z.
((x \ 1) * y) * y = x \ (y * y).
L((x * y) * z,z,y) = x * (y * z).
L(x * L(y,z,u),L(y,z,u),u * z) = (x / (u * z)) * (u * (z * y)).
L(x * y,y,z * y) = (x / (z * y)) * (z * (y * y)).
(x / (y * z)) * (y * (z * z)) = L(x * z,z,y * z).
x * y != L((z * u) * w,w,u) | (z * (u * w)) / y = x.
(x * (y * z)) / z = z \ L(z * (x * y),z,y).
x \ L(x * (y * z),x,z) = (y * (z * x)) / x.
(x * y) * (z * (x * y)) = x * (y * ((z * x) * y)).
T((x * y) * z,x * (y * z)) = (x * y) * z.
K(x,y * (z * x)) = K(x,(y * z) * x).
K(x,(y * z) * x) = K(x,y * (z * x)).
K(x,y * (z * x)) != u | K(x,y * z) = u.
K(x,y * x) != z | K(x,x * y) = z.
x != (y * z) * ((z \ u) * (y * z)) | x = (y * (u * y)) * z.
x * (y * (((y \ z) * x) * y)) = (x * (z * x)) * y.
(x * y) * z = x * (y * (((z / (x * y)) * x) * y)).
x * (y * (((z / (x * y)) * x) * y)) = (x * y) * z.
x * (y * ((z * x) * y)) != (x * y) * u | z * (x * y) = u.
(x * y) * z != x * (y * ((u * x) * y)) | u * (x * y) = z.
(x * (1 / y)) * (z * (x * (1 / y))) = x * (y \ ((z * x) * (1 / y))).
x * ((y * z) * ((u / y) * (y * z))) = x * (y * (z * (u * z))).
x != T((y * z) * u,y * (z * u)) | x = a(y,z,u) * (y * (z * u)).
(x * y) * z = a(x,y,z) * (x * (y * z)).
a(x,y,z) * (x * (y * z)) = (x * y) * z.
x * y != T((z * u) * w,z * (u * w)) | ((z * u) * w) / y = x.
((x * y) * z) / (x * (y * z)) = a(x,y,z).
x * y != (((z / u) / w) * w) * u | z / y = x.
x / (((x / y) / z) * (z * y)) = a((x / y) / z,z,y).
x * y != a(z,u,w) * (z * (u * w)) | ((z * u) * w) / y = x.
((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x.
((x / y) * z) * (z \ y) = L(x,y,z \ 1).
x \ L(x,y,z \ 1) = a(x / y,z,z \ y).
a(x / y,z,z \ y) = x \ L(x,y,z \ 1).
x * (y * R(z,y \ (x \ 1),x)) = (x * y) * z.
x * (y * K(x,z)) = (x * y) * K(x,z).
(x * y) * K(x,z) = x * (y * K(x,z)).
x * (y * L(z,x * y,x \ 1)) = (x * y) * z.
L(L(x,y,z),z * y,z \ 1) = x.
K(x * y,z) = K(x * y,L(z,y,x)).
K(x * y,L(z,y,x)) = K(x * y,z).
L(x * (y * z),y * z,y \ 1) = (x * y) * z.
(x * y) * K(x * y,z) = T(x * y,L(z,y,x)).
K(x,(y \ z) \ x) != u | K(x,x * (z \ y)) = u.
x / L(x,y,z) = a((x / y) / z,z,y).
a((x / y) / z,z,y) = x / L(x,y,z).
x != y / L(y,z,u) | x = L(y,z,u) \ y.
a((x / y) / z,z,y) = L(x,y,z) \ x.
a((x * K(y,z)) / u,u,K(z,y)) = L(x,K(z,y),u) \ x.
R(x,y,K(x,z)) = x.
x != y * (z * K(y,u)) | x = T(y,u) * T(z,K(y,u)).
(x * y) * K(x,z) = T(x,z) * T(y,K(x,z)).
T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y).
T(x,y) = R(T(x,y),z,K(x,u)).
R(T(x,y),z,K(x,u)) = T(x,y).
L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w).
(L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)).
T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u).
(T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)).
R(x,y,K(z,x)) = x.
x != R(T(y,z * K(y,u)),z,K(y,u)) | x = T(y,z).
T(x,y * K(x,z)) = T(x,y).
T(x,y * K(z,x \ 1)) = T(x,y).
T(x,y) / (T(x,y) * y) = z / ((y * K(x,y)) * z).
T(x,y * L(K(x,z),u,w)) = T(x,y).
T(x,y) = T(x,K(x \ 1,z) * y).
T(x,K(x \ 1,y) * z) = T(x,z).
x != T(y,z) | x = y * K(y,z).
T(x,K(x \ 1,y) * z) = x * K(x,z).
K(x,K(x \ 1,y) * z) = K(x,z).
K(x * K(y,L(z,u,w)),z) = K(x,z).
K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x).
K((x \ 1) * y,z) = K(x \ y,z).
L(x,y,(y * z) \ 1) * ((y * z) \ y) = T(L(z \ x,x,y),(y * z) \ y).
T(L(x \ y,y,z),(z * x) \ z) = L(y,z,(z * x) \ 1) * ((z * x) \ z).
L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z).
L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)).
L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)).
L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u).
K(x,(y \ z) \ x) = K(x,z \ (y * x)).
K(x,x * (y \ z)) = K(x,y \ (z * x)).
K(x,y \ (z * x)) = K(x,x * (y \ z)).
K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u.
K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w.
L(x,y,1 / z) * (y \ z) = (x / y) * z.
L(x,y,1 / (y * z)) * z = (x / y) * (y * z).
R(x,y,z) * (x \ u) = (R(x,y,z) / x) * u.
(R(x,y,z) / x) * u = R(x,y,z) * (x \ u).
x * y != (R(z,u,w) / z) * v5 | x \ (R(z,u,w) * (z \ v5)) = y.
R(x,y,z) \ (R(x,y,z) * (x \ (x * u))) = L(u,x,R(x,y,z) / x).
L(x,y,R(y,z,u) / y) = x.
L(x,y,a(z,(z \ y) / u,u)) = x.
L(x,y * z,a(y,z / u,u)) = x.
L(x,y * (z * u),a(y,z,u)) = x.
x != L(y,z * y,u) | x = L(y,z,u).
x * y = L(x * y,z,a(z,x,y)).
L(x * y,z,a(z,x,y)) = x * y.
((x * y) * z) / (y * z) = a(x,y,z) * x.
R(x,y,z) / x = a(x,y,z).
R(x,y,z) = a(x,y,z) * x.
a(x,y,z) * x = R(x,y,z).
x * y != R(y,z,u) | x = y \ R(y,z,u).
a(x,y,z) = x \ R(x,y,z).
x \ R(x,y,z) = a(x,y,z).
R(x,y,z) / x != u | u = a(x,y,z).
R(x,y,z) / x != u | a(x,y,z) = u.
K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u).
x * a(x,y,z) = R(x,y,z).
x != y \ R(y,z \ u,z) | x = a(u,z \ 1,(z / u) * y) \ 1.
a(x,y \ z,y) = a(z,y \ 1,(y / z) * x) \ 1.
a(x,y \ 1,(y / x) * z) \ 1 = a(z,y \ x,y).
a(x,y,z) = a(y,z,z \ (y \ x)).
a(x,y,y \ (x \ z)) = a(z,x,y).
L(a(x,y,z),x,u) = (u * x) \ (u * R(x,y,z)).
(x * y) \ (x * R(y,z,u)) = L(a(y,z,u),y,x).
x \ L(x,y,z \ 1) = a(x,y \ 1,z).
x \ R(x,y,z) != u | u = a(x,y,z).
x \ R(x,y,z) != u | a(x,y,z) = u.
L(x * a(y,z,u),a(y,z,u),y) = (x / y) * R(y,z,u).
a(x,y \ 1,y * (x \ z)) = a(z,x,y \ 1).
a((x \ y) \ y,z,z \ T(x \ y,x)) = a(y,(x \ y) \ y,z).
a(x,y / z,z) \ 1 = a(y,z \ 1,z * (z \ ((y / z) \ x))).
a(x,y \ 1,y * (y \ ((x / y) \ z))) = a(z,x / y,y) \ 1.
a(x,(y \ 1) \ 1,(y \ 1) * (y * ((x / (y \ 1)) \ z))) = a(z,x / (y \ 1),y \ 1) \ 1.
a(x,y \ 1,y * (y \ ((y / x) * z))) = a(z,x / y,y) \ 1.
a(x,y \ 1,(y / x) * z) = a(z,x / y,y) \ 1.
(a(x,y / z,z) \ 1) \ 1 = a(x,z \ y,z).
a(x,y / z,z) = a(x,z \ y,z).
a(x,y \ 1,z) = a(x,z \ (y \ z),z).
a(x,y \ (z \ y),y) = a(x,z \ 1,y).
x \ L(x,y,z) = a(x,y \ 1,z \ 1).
a(x,y \ 1,z \ 1) = x \ L(x,y,z).
a(x,y \ 1,y / ((z * u) * x)) = a(u \ (z \ 1),x,y \ 1).
a(x,y \ 1,y * (K(x,z) * u)) = a(T(x,z) * u,x,y \ 1).
a(x,(y \ 1) \ 1,(y \ 1) * (y * ((x / (y \ 1)) \ z))) = a(z,x * y,y \ 1) \ 1.
a(x,y,(y \ 1) * (y * ((x / (y \ 1)) \ z))) = a(z,x * y,y \ 1) \ 1.
a(x,y,(y \ 1) * (y * ((x * y) \ z))) = a(z,x * y,y \ 1) \ 1.
a(x,y,(x * y) \ z) = a(z,x * y,y \ 1) \ 1.
T(L(x \ y,y,z),(z * x) \ z) = L(y,z,x \ (z \ 1)) * ((z * x) \ z).
T(L(x \ y,y,z),(z * x) \ z) = L(y,z,x \ (z \ 1)) / x.
x != L(y,z,u \ (z \ 1)) / u | x = L(y / u,u,z).
T(L(x \ y,y,z),(z * x) \ z) = L(y / x,x,z).
T(L(x \ y,y,z),x \ 1) = L(y / x,x,z).
L(x / y,y,z) = L(T(y \ x,y \ 1),x,z).
L(T(x \ y,x \ 1),y,z) = L(y / x,x,z).
L(x / y,x,z) = L(x / y,y,z).
L(x / y,y,z) = L(x / y,x,z).
L(x,y,z) = L((x * y) / y,x * y,z).
L((x * y) / y,x * y,z) = L(x,y,z).
L(x,x * y,z) = L(x,y,z).
L(x,y,z) = L(x,x \ y,z).
L(x,x \ y,z) = L(x,y,z).
L(K(x,y),x * z,u) = K(L(x,z,u),y).
L(K(x,y),y * z,u) = K(x,L(y,z,u)).
L(x,y,z \ 1) = R(x,y \ x,z).
R(x,y \ x,z) = L(x,y,z \ 1).
((x \ y) * z) * L(x,y,z) = z * (T(x \ y,z) * x).
L(K(x,y),z,u) = K(x,L(y,y \ z,u)).
K(x,L(y,y \ z,u)) = L(K(x,y),z,u).
x != L(y,z \ 1,u) | x = R(y,z,u \ 1).
R(x,(y \ 1) \ x,z) = R(x,y,(z \ 1) \ 1).
x != L(y,z \ u,z) | x = L(y,u / z,z).
R(x,((y \ 1) \ z) \ x,y) = L(x,z / (y \ 1),y \ 1).
R(x,(y \ 1) \ x,z) = R(x,y,z).
x != R(y,(z \ 1) \ y,u) | x = R(y,T(z,y),u).
R(x,y,z) = R(x,T(y,x),z).
R(x,T(y,x),z) = R(x,y,z).
L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u).
L(K(x * y,z),y,u) = K((u * (x \ 1)) \ (u * y),z).
L(K(x * (y \ z),u),y \ z,y) = K((y * (x \ 1)) \ z,u).
L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y).
x != L(K(y,z),y * u,w) | x = K(L(y,u,w),z).
K(x,x * y) = K(L(x,y,z),x * y).
K(L(x,y,z),x * y) = K(x,x * y).
x != K(L(y,z,u),w) | x = L(K(y,w),z,u).
K(x,x * y) = L(K(x,x * y),y,z).
L(K(x,x * y),y,z) = K(x,x * y).
1 / L(K(x,x * y),y,z) = K(x * y,x).
L(K(x * y,x),y,z) = K(x * y,x).
R(x,((y \ 1) \ z) \ x,y) = L(x,z * y,y \ 1).
R(x,(y * z) \ x,y) = L(x,z * y,y \ 1).
R(x,(T(y,z) * u) \ x,T(y,z)) = L(x,u * T(y,z),T(y \ 1,z)).
a(x,y,z) * u = R(x,y,z) * (x \ u).
R(x,y,z) * (x \ u) = a(x,y,z) * u.
L(x,y,a(y,z,u)) = x.
x * (a(x,y,z) * u) = R(x,y,z) * u.
(x \ y) * y = x \ (y * y).
x \ (y * y) = (x \ y) * y.
T(x,y * y) = ((x \ (y * y)) \ y) * y.
((x \ (y * y)) \ y) * y = T(x,y * y).
x * ((x \ y) * y) = y * y.
(((x \ y) * y) \ y) * y = T(x,y * y).
(x \ ((y \ x) \ x)) * x = T(y,x * x).
(x \ T(y,x)) * x = T(y,x * x).
T(T(x,y),y) = T(x,y * y).
x != T(T(y,z),z) | x = (y \ z) \ T(z,y \ 1).
T(x,y * y) = (x \ y) \ T(y,x \ 1).
(x \ y) \ T(y,x \ 1) = T(x,y * y).
T(T(T(x,y),z),y) = T(T(x,z),y * y).
T(x \ y,y) = T(y / x,y * y).
T(x / y,x * x) = T(y \ x,x).
R(x,x,y) = x.
L(x,y,y) = x.
x * y != z * (u * (u \ (z \ w))) | w / y = x.
x / (y \ (y \ x)) = y * y.
(x * x) \ y = x \ (x \ y).
L(x,y,z) * (x * u) = (L(x,y,z) * x) * u.
(L(x,y,z) * x) * u = L(x,y,z) * (x * u).
x * (L(y,z,u) * y) = (x * L(y,z,u)) * y.
(x * L(y,z,u)) * y = x * (L(y,z,u) * y).
L(x,L(x,y,z),u) = x.
x * y = (x / L(x,z,u)) * (L(x,z,u) * y).
(x / L(x,y,z)) * (L(x,y,z) * u) = x * u.
(x * L(y,z,u)) / y = x * (L(y,z,u) / y).
(x * L(y,z,u)) / y = x * (y \ L(y,z,u)).
(x / y) * L(y,z,u) = x * (y \ L(y,z,u)).
x * L(y,z,u) = (x * y) * (y \ L(y,z,u)).
(x * y) * (y \ L(y,z,u)) = x * L(y,z,u).
(x * y) * (L(y,z,u) / y) = x * L(y,z,u).
(x * L(y,z,u)) / (L(y,z,u) / y) = x * y.
(x * y) \ (x * L(y,z,u)) = L(y,z,u) / y.
x != (y * z) \ (y * L(z,u,w)) | x = L(L(z,u,w) / z,z,y).
L(x,y,z) / x = L(L(x,y,z) / x,x,u).
L(L(x,y,z) / x,x,u) = L(x,y,z) / x.
x != L(L(y,z,u) / y,y,u * z) | x = 1 / a(u,z,y).
L(x,y,z) / x = 1 / a(z,y,x).
x / (L(y,z,u) / y) = x * a(u,z,y).
x / L(x,y,z) = a(z,y,x).
L(x,y,z) \ x = a(z,y,x).
x != y / L(y,z,u) | x = a((y / z) / u,u,z).
a(x,y,z) = a((z / y) / x,x,y).
a((x / y) / z,z,y) = a(z,y,x).
x != y / L(z,u,w) | x = y * L(z \ 1,u,w).
a(x,y,z) = z * L(z \ 1,y,x).
x * L(x \ 1,y,z) = a(z,y,x).
x != y / L(K(z,u),w,v5) | x = y * L(K(u,z),w,v5).
a(x,y,K(z,u)) = K(z,u) * L(K(u,z),y,x).
K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)).
a(x,y,z) * (L(z,y,x) * u) = z * u.
K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z).
K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)).
K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)).
K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)).
a(x,y,K(z,u)) = K(u,L(z,y,x)) * K(z,u).
K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)).
L(x,y,z) * a(z,y,x) = x.
(x \ L(x,y,z)) \ u = a(z,y,x) * u.
x / a(y,z,u) = x * (u \ L(u,z,y)).
x * (y \ L(y,z,u)) = x / a(u,z,y).
T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)).
L(x,y,z) \ x = a(T(z,y),y,x).
a(T(x,y),y,z) = L(z,y,x) \ z.
L(x,y,z) \ x != u | u = a(z,y,x).
L(x,y,z) \ x != u | a(z,y,x) = u.
x / L(x,y,z) != u | a(z,y,x) = u.
a((x / y) / z,z,y) != u | a(z,y,x) = u.
(x \ 1) \ L(x \ 1,y,z) = a(z,y,x).
T(x,a(y,z,x)) = x.
(x \ y) * L(y \ x,z,u) = a(u,z,x \ y).
x != y \ L(y,z,u \ 1) | x = a(y,z \ 1,u).
a(x \ 1,y,z) = a(z \ 1,y \ 1,x).
a(x \ 1,y \ 1,z) = a(z \ 1,y,x).
a(x,y,z) \ u = a(x,y,z \ 1) * u.
a(x,y,z \ 1) * u = a(x,y,z) \ u.
K(x,y) \ L(K(x,y),z,u) != w | w = a(u,z,K(y,x)).
K(x,y) \ L(K(x,y),z,u) != w | a(u,z,K(y,x)) = w.
x != a(y \ 1,z \ 1,z * u) | x = a(y \ (z \ 1),z,u) \ 1.
a((x * y) \ 1,x,z) = a(z \ (x \ 1),x,y) \ 1.
a(x \ (y \ 1),y,z) \ 1 = a((y * z) \ 1,y,x).
a(x,y \ 1,z) = a(z \ 1,y,x \ 1).
a(x \ 1,y,z \ 1) = a(z,y \ 1,x).
a(x,y,z \ 1) = a(z,y \ 1,x \ 1).
a(x,y \ 1,z \ 1) = a(z,y,x \ 1).
a(x \ (y \ 1),z,u \ 1) = a(u,z \ 1,y * x).
x != a(y,z \ 1,u \ 1) | x = y \ L(y,z,u).
a(x,y,z \ 1) = z \ L(z,y,x).
a(x,y,(z * y) \ 1) * u = a(z,y,y \ (x \ 1)) \ u.
a(x,y,y \ (z \ 1)) \ u = a(z,y,(x * y) \ 1) * u.
x != (y \ 1) \ L(y \ 1,z,u) | x = a(u,z,y).
a(x,y,(z \ 1) \ 1) = a(x,y,z).
x != a(y,z,u \ 1) | x = a(z,u \ 1,u * (z \ y)).
x \ L(x,y,z) = a(y,x \ 1,x * (y \ z)).
a(x,y \ 1,y * (x \ z)) = y \ L(y,x,z).
a(x,y,z \ (u \ 1)) = (u * z) \ L(u * z,y,x).
(x * y) \ L(x * y,z,u) = a(u,z,y \ (x \ 1)).
a(x,y * z,z \ 1) = z \ L(z,y,x).
a(x \ 1,y,z \ 1) = z \ R(z,y \ z,x).
a(x,y,(x * y) \ z) = (y \ L(y,x,z)) \ 1.
x != (y \ L(y,z,u)) \ w | x = a(u,z,y) * w.
a(x,y,(x * y) \ z) = a(z,x,y) * 1.
a(x,y,(x * y) \ z) != u | a(z,x,y) = u.
a(x,y,z) = L(x,y \ (z \ 1),z) \ x.
L(x,y \ (z \ 1),z) \ x = a(x,y,z).
a(x,y \ (x \ 1),z) = a(z,y,x).
x * a(y,z,u \ 1) = x / a(y,z,u).
((x * y) * z) \ (x * (y * z)) = a(x,y,z \ 1).
((x * y) * z) \ (x * (y * z)) = a(y,z,z \ ((x * y) \ 1)).
a(x,y,z \ (u \ 1)) \ w = a(x,y,u * z) * w.
((x * y) * z) \ (x * (y * z)) = a(y,z,z \ (y \ (x \ 1))).
x != a(y,z,z \ (y \ u)) | x = a(u,y,z).
((x * y) * z) \ (x * (y * z)) = a(x \ 1,y,z).
x != ((y * z) * u) \ (y * (z * u)) | x = a(y,z,u \ 1).
a(x \ 1,y,z) = a(x,y,z \ 1).
x != ((y * z) * u) \ (y * (z * u)) | x = a(y,z,u) \ 1.
a(x \ 1,y,z) = a(x,y,z) \ 1.
a(x,y,z) \ 1 = a(x \ 1,y,z).
x != a(y \ 1,z,u \ 1) | x = u \ R(u,z \ u,y).
a(x,y,(z \ 1) \ 1) = z \ R(z,y \ z,x).
x != a(y,z,(u \ 1) \ 1) | x = a(y,z,u).
x \ R(x,y \ x,z) = a(z,y,x).
a(x,y \ x,z) = a(z,y,x).
x \ R(x,y,z) = a(z,y \ 1,x).
a(x,y \ 1,z) = z \ R(z,y,x).
x != y \ R(y,z,u) | x = a(y,z,u).
a(x,y \ 1,z) = a(z,y,x).
a(x,y \ 1,z) != u | a(z,y,x) = u.
a(x,y \ (z \ 1),u) != w | a(u,z * y,x) = w.
R(x * y,x,z) \ (x * y) != u | a(y,z,x * z) = u.
a(x,y \ (z \ y),y) != u | a(y,z,x) = u.
a(x,y * z,y) = a(x,z,y).
a(x,y,z) = a(x,z \ y,z).
a(x,y \ z,y) = a(x,z,y).
a(x,y,z) = a(z,y \ x,x).
a(x,y \ z,z) = a(z,y,x).
x != a(y,z \ u,z) | x = a(y,u / z,z).
a(x,y,z) = a(x,y / z,z).
a(x,y / z,z) = a(x,y,z).
a(x,y \ z,z) != u | a(z,y,x) = u.
a(x * (y \ z),x,y) = x \ L(x,y,z).
T(x,a(y,x,z)) = x.
T(a(x,y,z),y) = a(x,y,z).
a(x,y,z) * y = y * a(x,y,z).
a(x,y,z) * u = z * (L(z,y,x) \ u).
x * (L(x,y,z) \ u) = a(z,y,x) * u.
x != y * (L(y,z,u) \ w) | x = L(y,z,u) \ (y * w).
a(x,y,z) * u = L(z,y,x) \ (z * u).
L(x,y,z) \ (x * u) = a(z,y,x) * u.
(a(x,y,z) * u) \ z = u \ L(z,y,x).
L(x,y,z) \ u = a(z,y,x) * (x \ u).
a(x,y,z) * (z \ u) = L(z,y,x) \ u.
x * (a(y,z,x) * u) = a(y,z,x) * (x * u).
a(x,y,z) * (z * u) = z * (a(x,y,z) * u).
L(T(x,a(y,z,u) \ 1),w,x) = T(x,x * (u \ L(u,z,y))).
T(x,x * (y \ L(y,z,u))) = L(T(x,a(u,z,y) \ 1),w,x).
a(T(x,y),y,z) != u | a(x,y,z) = u.
a(x \ y,x,z) != u | a(y / x,x,z) = u.
a(x / y,y,z) = a(y \ x,y,z).
a(x,y,z) = a(z,z / y,x).
a(x,x / y,z) = a(z,y,x).
a(x,y,K(z,u)) * w = a(x,y,K(u,z)) \ w.
a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w.
x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)).
a(x \ (y \ 1),y,z) \ 1 = a(z \ (y \ 1),y,x).
x != a(y,z,u) \ 1 | x = a(y \ 1,z,u).
a(x \ (y \ 1),y,z) = a((z \ (y \ 1)) \ 1,y,x).
a((x \ (y \ 1)) \ 1,y,z) = a(z \ (y \ 1),y,x).
a(((x \ 1) \ y) * 1,x,z) = a(z \ (x \ 1),x,y).
a((x * y) * 1,x,z) = a(z \ (x \ 1),x,y).
a(x \ (y \ 1),y,z) = a((y * z) * 1,y,x).
a(x \ (y \ 1),y,z) = a(y * z,y,x).
x != L(L(y,z,u),u * z,u \ 1) | x = y.
L(x * y,y,x) = x * y.
L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)).
L(x * y,z,u) = L(L(x * y,z,u),y,x).
L(L(x * y,z,u),y,x) = L(x * y,z,u).
(x * y) * (y * x) = y * (T(x,y) * (y * x)).
x * (T(y,x) * (x * y)) = (y * x) * (x * y).
(x * y) / L(x * y,z,u) = x * (y / L(x * y,z,u)).
x != y / L(y,z,u) | x = a(u,z,y).
x * (y / L(x * y,z,u)) = a(u,z,x * y).
x * (L(y * x,z,u) \ y) = a(u,z,x * y).
(x \ y) * (L(y,z,u) \ x) = a(u,z,(x \ y) * x).
(x \ y) * (L(y,z,u) \ x) = a(u,z,T(y,x)).
((x * y) \ x) * (L(x,z,u) \ (x * y)) = a(u,z,T(x,y)).
(x \ 1) * (L(y,z,u) \ (y * x)) = a(u,z,T(y,x)).
(x \ 1) * (a(y,z,u) * x) = a(y,z,T(u,x)).
T(a(x,y,z),u) = a(x,y,T(z,u)).
x * a(y,z,T(u,x)) = a(y,z,u) * x.
x != T(a(y,z,u),z) | x = a(y,z,u).
a(x,y,T(z,y)) = a(x,y,z).
T(a(x,y,z \ 1),u) = a(x,y,u \ (z \ u)).
x != L(y,z,u / z) | x = L(y,z,z \ u).
((x / y) * (y * z)) \ x = L(z \ 1,y,y \ x).
((x * y) \ (x / z)) * z = L(y \ 1,x,x \ z).
L(x \ 1,y,y \ z) * x = a(z \ 1,z / y,y * x).
a(x \ 1,x / y,y * z) = L(z \ 1,y,y \ x) * z.
a(x \ 1,x / y,y * z) != u | L(z,y,y \ x) \ z = u.
L(x,y,y \ z) \ x = a(z,z / y,(y * x) \ 1).
a(x,x / y,(y * z) \ 1) = L(z,y,y \ x) \ z.
a(x,x / y,z \ (y \ 1)) = L(z,y,y \ x) \ z.
a(x,x / y,z \ (y \ 1)) != u | a(y \ x,y,z) = u.
a(x \ y,x,z) = a(z \ (x \ 1),x,y).
a(x \ (y \ 1),y,z) = a(y \ z,y,x).
x != a(y \ (z \ 1),z,u) | x = a(z * u,z,y).
a(x \ y,x,z) = a(x * y,x,z).
a(x / y,y,z) = a(y * x,y,z).
a(x,y,z) = a(x * (z / y),x,y).
a(x * (y / z),x,z) = a(x,z,y).
a(x * (y \ z),x,y) = a(x,y,T(z,y)).
a(x * (y \ (z \ 1)),x,z) = a(x,z,y \ 1).
x != a(y * (z \ u),y,z) | x = y \ L(y,z,u).
a(x,y,T(z,y)) = x \ L(x,y,z).
x != a(y,z,T(u,z)) | x = a(y,z,u).
x \ L(x,y,z) = a(x,y,z).
a(x,y,K(z,u)) = a(K(u,z),y,x).
a(K(x,y),z,u) = a(u,z,K(y,x)).
x * a(x,y,z) = L(x,y,z).
x != y \ L(y,z,u) | x = a(u,z,y \ 1).
a(x,y,z) = a(z,y,x \ 1).
a(x,y,z \ 1) = a(z,y,x).
x * a(x,y,z) != u | u = L(x,y,z).
x * a(x,y,z) != u | L(x,y,z) = u.
(x * y) * a(y,z,u) = x * L(y,z,u).
a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w.
a(x,y,K(z,u)) * K(u,z) = R(K(u,z),y,x).
L(x,y,z) = R(x,y,z).
R(x,y,z) = L(x,y,z).
R(x,y,z) != u | L(x,y,z) = u.
x != L(K(y,z),u,w) | x = K(y,L(z,u,w)).
R(K(x,y),z,u) = K(x,L(y,z,u)).
x != L(y,z,K(z,u)) | x = y.
R(x,y,K(y,z)) = x.
x != R(y,z,u) | x = a(y,z,u) * y.
L(x,y,z) = a(x,y,z) * x.
a(x,y,z) * x = L(x,y,z).
x != R(K(y \ 1,z),u,w) | x = K(R(y,u,w) \ 1,z).
L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
x != R(y,1,z) | x = y.
L(x,1,y) = x.
x != R(y \ (z / u),y,u) | x = T(z / (y * u),y).
L(x \ (y / z),x,z) = T(y / (x * z),x).
x != R(y * (z * u),y,u) | x = (y * u) * T(z,u).
L(x * (y * z),x,z) = (x * z) * T(y,z).
x != R((y / z) / u,u,z) | x = y / (u * z).
L((x / y) / z,z,y) = x / (z * y).
x != R(y / z,z,u) | x = (y * u) / (z * u).
L(x / y,y,z) = (x * z) / (y * z).
(x * y) * R(z,y,x) = x * (y * z).
L(x,y,z) * (y * z) = (x * y) * z.
R(K(x,y),x,z) != u | K(x,y) = u.
L(x,y,z) * (z * y) = (x * y) * T(z,y).
(x / ((y * z) * T(u,z))) * ((u * z) * R(y,z,u)) = x * K(u * z,L(y,z,u)).
K(R(x,y,z),u) = K(x,L(u,y,z)).
x \ L(x,y,z) != u | a(x,y,z) = u.
x * (a(x,y,z) * u) = L(x,y,z) * u.
R(x,y,z) \ x = a(z,y,x).
T(x * y,y) = y * T(x,y * y).
x * T(y,x * x) = T(y * x,x).
(x * y) * (z / (y * x)) = x * (y * ((z / x) / y)).
K((x * y) * z,u) = K(x * (y * z),L(u,x,y)).
K(x * (y * z),L(u,x,y)) = K((x * y) * z,u).
(x * y) * (z / (y * x)) != u | x * (y * ((z / x) / y)) = u.
x * ((y / (z * u)) / x) = L(x * (((y / u) / z) / x),z,u).
L(x * (((y / z) / u) / x),u,z) = x * ((y / (u * z)) / x).
T(x * K(y * z,u),u \ (z \ (y \ 1))) != w | (y * z) * (u * ((x / (y * z)) / u)) = w.
(x / ((y * z) * T(u,z))) * ((u * z) * R(y,z,u)) = x * K(u * z,y).
(x / ((y * z) * T(u,z))) * (u * (z * y)) = x * K(u * z,y).
L(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y).
(x * y) * z != u * (y * z) | L(x,y,z) = u.
((x \ y) * z) * (x * (y \ 1)) = ((x \ (y * z)) * x) * (y \ 1).
((x \ (y * z)) * x) * (y \ 1) = ((x \ y) * z) * (x * (y \ 1)).
x * (y * K(z,x)) = (x * y) * K(z,x).
(x * y) * K(z,x) = x * (y * K(z,x)).
x * (L(x,y,z) * u) = (x * L(x,y,z)) * u.
(x * L(x,y,z)) * u = x * (L(x,y,z) * u).
((x \ (y * z)) * x) * (y \ 1) = ((x \ y) * z) * (x / y).
x != ((y \ z) * u) * (y / z) | x = T(u * K(z,y),z \ y).
((x \ (y * z)) * x) * (y \ 1) = T(z * K(y,x),y \ x).
T(x * y,z) * (x \ 1) = T(y * K(x,z),x \ z).
T(x * K(y,z),y \ z) = T(y * x,z) * (y \ 1).
x != y * (z \ 1) | x = y / z.
T(x * K(y,z),y \ z) = T(y * x,z) / y.
T(x * K(y * z,u),u \ (z \ (y \ 1))) = T(u * x,z \ (y \ 1)) / u.
(x * y) * (z * ((u / (x * y)) / z)) = T(z * u,y \ (x \ 1)) / z.
x != R(y,z \ y,u) | x = L(y,z,u \ 1).
K(x,L(y,z \ K(x,y),u)) = L(K(x,y),z,u \ 1).
R(K(x,y),L(y,z,u),w) = K(x,y).
R(K(x,y),z,u) = K(x,R(y,z,u)).
x != R(K(y,z),u,w) | x = K(y,L(z,u,w)).
K(x,R(y,z,u)) = K(x,L(y,z,u)).
R(K(x,y),z,u) = K(x,R(y,y \ z,u)).
K(x,R(y,y \ z,u)) = R(K(x,y),z,u).
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u).
(x * y) * (z * ((u / (x * y)) / z)) = y * (T(x,y) * (z * (((u / y) / x) / z))).
x * (T(y,x) * (z * (((u / x) / y) / z))) = (y * x) * (z * ((u / (y * x)) / z)).
x != (y * z) * (u * ((w / (y * z)) / u)) | x = T(u * w,z \ (y \ 1)) / u.
x * (T(y,x) * (z * (((u / x) / y) / z))) = T(z * u,x \ (y \ 1)) / z.
T(x,y) * (T(y,x) * (z * (((u / T(x,y)) / y) / z))) = T(z * u,T(x,y) \ (y \ 1)) / z.
x * (y * (z * (((u / T(x,y)) / y) / z))) = T(z * u,T(x,y) \ (y \ 1)) / z.
x * (y * (z * (((u / T(x,y)) / y) / z))) = T(z * u,y \ (x \ 1)) / z.
L(x,y,z) != x * u | a(x,y,z) = u.
x * a(x,y,z) = L(x,z \ y,z).
L(x,y \ z,y) = x * a(x,z,y).
x != y * a(y,z,u) | x = L(y,z,u).
L(x,y \ z,y) = L(x,z,y).
L(x,y,z) = L(x,z * y,z).
L(x,y * z,y) = L(x,z,y).
L(x,y * z,y \ 1) = L(x,z,y \ 1).
x != L(y,z,u \ 1) | x = R(y,z \ y,u).
L(x,y,z \ 1) = R(x,(z * y) \ x,z).
R(x,(y * z) \ x,y) = L(x,z,y \ 1).
x * (y * L(z,y,x \ 1)) = (x * y) * z.
K(x,R(y,z,u)) = R(K(x,y),y * z,u).
R(K(x,y),y * z,u) = K(x,R(y,z,u)).
K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z).
x != R(y,(T(z,u) * w) \ y,T(z,u)) | x = L(y,w * T(z,u),T(z \ 1,u)).
L(x,y,T(z,u) \ 1) = L(x,y * T(z,u),T(z \ 1,u)).
L(x,y * T(z,u),T(z \ 1,u)) = L(x,y,T(z,u) \ 1).
L(x,y * T(z,u),T(z \ 1,u)) = L(x,y,T(z \ 1,u)).
x != L(y,z * T(u,w),T(u \ 1,w)) | x = L(y,T(u,w) * z,T(u \ 1,w)).
L(x,y,T(z \ 1,u)) = L(x,T(z,u) * y,T(z \ 1,u)).
L(x,T(y,z) * u,T(y \ 1,z)) = L(x,u,T(y \ 1,z)).
x * (y * a(x,y,z)) = L(x,y,z) * y.
a(x,y,z) * x != u | L(x,y,z) = u.
(x * y) * a(y,z,u) != x * w | L(y,z,u) = w.
K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z).
R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)).
K(x,y) = R(K(x,y),T(y,z),u).
R(K(x,y),T(y,z),u) = K(x,y).
L(K(x,y),T(y,z),u) = K(x,y).
x != L(K(y * z,y),T(y,z),u) | x = (u * T(y,z)) \ (u * R(y,z,y)).
K(x * y,x) = (z * T(x,y)) \ (z * R(x,y,x)).
(x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y).
R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z).
R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y).
x != R(K(y,z),y,u) | x = K(y,z).
K(x,(x * y) / z) = K(x,(z / y) \ x).
R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1).
K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x).
K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y).
K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y).
x != K(y,(z \ u) \ y) | x = K(y,u \ (z * y)).
K(x,(x / L(y,z,u)) * y) = K(x,L(y,z,u) \ (y * x)).
K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y).
K(x,y * (L(y,z,u) \ x)) = K(x,(x / L(y,z,u)) * y).
K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)).
x != a(y,z,T(u,w) \ 1) | x = a(y,z,w \ (u \ w)).
a(T(x,y),z,u) = a(u,z,y \ (x \ y)).
a(x,y,z \ (u \ z)) = a(T(u,z),y,x).
T(a(x,y,z),u) = a(z,y,u \ (x \ u)).
a(x,y,z \ (u \ z)) = T(a(u,y,x),z).
x != a(y,z,u \ (w \ u)) | x = T(a(w,z,y),u).
a(T(x,y),z,u) = T(a(x,z,u),y).
T(a(x,y,z),u) = a(T(x,u),y,z).
x != T(a(y,z,u),w) | x = a(y,z,T(u,w)).
a(T(x,y),z,u) = a(x,z,T(u,y)).
T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u).
((x * y) \ z) * (x * y) = ((y \ (x \ z)) * y) * T(x,y).
((x \ (y \ z)) * x) * T(y,x) = ((y * x) \ z) * (y * x).
x != (y \ z) * y | x = T(z,y).
((x \ (y \ z)) * x) * T(y,x) = T(z,y * x).
T(x \ y,z) * T(x,z) = T(y,x * z).
T(x,y) * T(z,y) = T(z * x,z * y).
T(x * y,x * z) = T(y,z) * T(x,z).
T(x \ y,z * x) * T(x,z) = T(y,x * (z * x)).
T(x,y * z) * T(z,y) = (T(y \ x,z) * y) * z.
(T(x \ y,z) * x) * z = T(y,x * z) * T(z,x).
T(x * y,x * (y * z)) = T(y,z) * T(x,y * z).
T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y).
x * y != T(z * L(u,w,v5),z * u) | x \ (L(u,w,v5) * T(z,u)) = y.
(x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y).
x != (y * z) \ (z * T(y,u)) | x = K(y,u) * K(z,y).
K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x).
K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y).
x != K(y,z) * K(L(z,u,w),y) | x = a(w,u,K(y,z)).
K(x * L(y,z,u),x * y) = a(u,z,K(x,y)).
K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)).
x != K(y,(y / L(z,u,w)) * z) | x = K(y,z * (L(z,u,w) \ y)).
a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)).
a(x,y,T(z,y)) != u | a(x,y,z) = u.
x * y != (z * u) * L(u,w,v5) | (z * (u * L(u,w,v5))) / y = x.
(x * (y * L(y,z,u))) / y = x * L(y,z,u).
(x * (y * (y * L(y * y,z,u)))) / (y * y) = x * L(y * y,z,u).
(x * (y * z)) / L(L(z,y,x),u,w) = x * ((y * z) / L(z,u,w)).
x != (y * z) * T(u,z) | x = L(y,z,u) * (u * z).
L(x * (y * z),x,z) = L(x,z,y) * (y * z).
a(x,y,z * y) = a(y,z,z * x).
x != a(y * z,y,u) | x = a(y \ z,y,u).
a(x,y \ 1,y * z) = a(y \ z,y,x).
a(x,y,z * y) \ u = a(z,y,y \ x) * u.
x \ ((x * y) * T(z,y)) = (z * (y * x)) / x.
(x / y) * z != u | z = (y / x) * u.
x * x = (x / y) * (y * x).
(x / y) * (y * x) = x * x.
(x / y) * ((y * x) * T(z,x * x)) = L(z,y * x,x / y) * ((x / y) * (y * x)).
L(x,y * z,z / y) * ((z / y) * (y * z)) = (z / y) * ((y * z) * T(x,z * z)).
R(x,y * z,z / y) * (z * z) = (x * (y * z)) * T(z / y,y * z).
L(x,y * z,z / y) * (z * z) = (z / y) * ((y * z) * T(x,z * z)).
(x / y) * ((y * x) * T(z,x * x)) = L(z,y * x,x / y) * (x * x).
L(x * (y * (z \ 1)),y * (z \ 1),y \ 1) = (x * y) / z.
L(x * (y / z),y * (z \ 1),y \ 1) = (x * y) / z.
L(x * (y / z),y / z,y \ 1) = (x * y) / z.
(x * y) / z = L(x * (y / z),z \ y,y \ 1).
L(x * (y / z),z \ y,y \ 1) = (x * y) / z.
(x * y) / z = R(x * (y / z),y \ z,y).
R(x * (y / z),y \ z,y) = (x * y) / z.
R(x * ((y \ (z \ y)) / u),(y \ (z \ y)) \ u,y \ (z \ y)) = (x / T(z,y)) / u.
R(x * ((y \ (z \ y)) / u),((z \ y) \ y) * u,y \ (z \ y)) = (x / T(z,y)) / u.
R(x * ((y \ (z \ y)) / u),T(z,y) * u,y \ (z \ y)) = (x / T(z,y)) / u.
R(x / (y * T(z,u)),T(z,u) * y,u \ (z \ u)) = (x / T(z,u)) / y.
L(x / (y * T(z,u)),T(z,u) * y,u \ (z \ u)) = (x / T(z,u)) / y.
L(x / (y * T(z,u)),T(z,u) * y,T(z \ 1,u)) = (x / T(z,u)) / y.
x != L(y,T(z,u) * w,T(z \ 1,u)) | x = L(y,w,T(z \ 1,u)).
(x / T(y,z)) / u = L(x / (u * T(y,z)),u,T(y \ 1,z)).
L(x / (y * T(z,u)),y,T(z \ 1,u)) = (x / T(z,u)) / y.
x != R(K(y / (z / u),w),y,u) | x = K((y * u) / z,w).
K(L(x,y,z) / (u / w),x) = K((L(x,y,z) * w) / u,x).
K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x).
x * y != a(z,u,u \ (w \ 1)) \ y | x = a(w,u,(z * u) \ 1).
a(x,y,z * y) = a(z,y,(x * y) \ 1).
a(x,y,(z * y) \ 1) = a(z,y,x * y).
x != a(y,z,u \ 1) | x = a(u,z,y).
a(x,y,z * y) = a(x * y,y,z).
a(x * y,y,z) = a(x,y,z * y).
a(x,y,z * y) * u = a(z,y,x * y) \ u.
a(x,y,z * y) \ u = a(z,y,x * y) * u.
x != y / (L(z,u,w) / z) | x = y * a(w,u,z).
x * y = (x * L(y,z,u)) * a(u,z,y).
(x * L(y,z,u)) * a(u,z,y) = x * y.
x * a(y,z,u) = (x / L(u,z,y)) * u.
(x / L(y,z,u)) * y = x * a(u,z,y).
x != (y / L(z,u,w)) * z | x = (y * z) / L(z,u,w).
x * a(y,z,u) = (x * u) / L(u,z,y).
(x * y) / L(y,z,u) = x * a(u,z,y).
(x * (y * z)) / L(L(z,y,x),u,w) = (x * y) * a(w,u,L(z,y,x)).
(x * (y * z)) / L(L(z,y,x),u,w) = x * (y * a(w,u,z)).
x != (y * (z * u)) / L(L(u,z,y),w,v5) | x = (y * z) * a(v5,w,L(u,z,y)).
x * (y * a(z,u,w)) = (x * y) * a(z,u,L(w,y,x)).
(x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)).
L(a(x,y,z),u,w) = a(x,y,L(z,u,w)).
(x * y) * a(z,u,y) = x * (y * a(z,u,y)).
(x * a(y,z,x)) * u = x * (a(y,z,x) * u).
L(x,a(y,z,u),u) = x.
L(x,a(y,z,u),y) = x.
L(x,a(y,z,u),z) = x.
x != L(y * a(z,u,w),a(z,u,w),z) | x = (y / z) * R(z,u,w).
x * a(y,z,u) = (x / y) * R(y,z,u).
(x / y) * R(y,z,u) = x * a(y,z,u).
(x / y) * R(y,z,u) = x * (y \ R(y,z,u)).
(x * x) * y != z | x * (x * y) = z.
(x * (x * y)) \ ((x * x) * (y * z)) = L(z,L(y,x,x),x * x).
(x * x) / y = x * (x / y).
a(x / (y * z),x,y) = a(x,y,z \ 1).
x * y != a(z,u,w * u) \ y | x = a(w,u,z * u).
a(x,y,y \ z) = a(x,y,z * y).
a(x,y,z) = a(x,y,(y * z) * y).
a(x,y,(y * z) * y) = a(x,y,z).
a(x,y,y * (z * y)) = a(x,y,z).
x != a(y,z,z * u) | x = a(u,y,z * y).
a(x,y,z) = a(z * y,x,y * x).
a(x * y,z,y * z) = a(z,y,x).
a(x * T(y,z),u,y * u) = a(u,y,x * K(y,z)).
T(a(x,y,z * K(y,u)),w) = a(z * T(y,u),x,T(y * x,w)).
a(x * T(y,z),u,T(y * u,w)) = T(a(u,y,x * K(y,z)),w).
a(T(x * y,x * z),u,x * u) = a(u,x,T(y,z) * K(x,z)).
a(x * T(y,z),u,T(y * u,w)) = a(u,y,T(x * K(y,z),w)).
x != a(T(y,z),u,w) | x = a(y,u,T(w,z)).
a(x,y,T(z,u) * K(y,u)) = a(y * z,x,T(y * x,y * u)).
a(x * y,z,T(x * z,x * u)) = a(z,x,T(y,u) * K(x,u)).
x * y != z * (u * (u \ w)) | (z * w) / y = x.
(x * y) / (L(x,z,u) \ y) = x * L(x,z,u).
(x * (x / y)) * y = x * x.
x * y != z * z | T(z * (z / x),x) = y.
T(x * (x / y),y) = (y \ x) * x.
(x * y) * (y \ x) = x * x.
R(x,y,K(z,T(x,u))) = x.
L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)).
(L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))).
L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)).
x != L(K(y,T(z,u)),u,L(z,w,v5)) | x = K(y,T(z,L(z,w,v5) * u)).
K(x,T(y,z)) = K(x,T(y,L(y,u,w) * z)).
K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)).
K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)).
K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)).
K(x,T(y,L(y,z,u) \ 1)) = K(x,y).
T((x * y) / x,T(x,z)) = T(y,K(x,z)).
T(x / y,T(y,z)) = T(y \ x,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)).
T(T(x,K(y,z)),y) = T(x,T(y,z)).
T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)).
x != T(y,T(z * u,z)) | x = T(y,u * z).
T(T(x,K(y,z)),z * y) = T(x,y * z).
T(K(x,y),z * y) = T(K(x,y),y * z).
T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z).
K(x * y,K(y,z)) = K(K(z,y),y * x).
K(K(x,y),y * z) = K(z * y,K(y,x)).
K(x * y,K(x,z)) = K(y * x,K(x,z)).
K(x * y,K(y,z)) = K(y * x,K(y,z)).
x != K(y * z,K(y,u)) | x = K(z,K(y,u)).
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)).
x != K(y,K(z,u)) | x = K(K(u,z),y).
K(x,K(y,z)) = K(K(x,y),z).
K(K(x,y),z) = K(x,K(y,z)).
K(x,K(y,z)) \ 1 = K(z,K(x,y)).
K(x,y) * K(x,K(y,z)) = T(K(x,y),z).
K(x,K(y,z)) != u | K(z,K(y,x)) = u.
K(K(x,y),z) != u | K(x,K(y,z)) = u.
K(K(x,y),z) = K(y,K(z,x)).
K(x,K(y,z)) = K(y,K(z,x)).
K(x,K(y,z)) = K(z,K(x,y)).
K(x,K(y,z)) = K(y,K(x,z)).
x != K(y,K(z,u)) | x = K(u,K(z,y)).
K(K(x,y),z) = K(x,K(z,y)).
K(x,K(y,z)) != u | K(z,K(x,y)) = u.
K(x,K(y,z)) = K(x,K(z,y)).
K(x,K(y,z)) = K(K(y,z),x).
K(K(x,y),z) = K(z,K(x,y)).
K(x,K(y,z)) != u | K(x,K(z,y)) = u.
K(x,y) * K(z,K(x,y)) = T(K(x,y),z).
K(x,K(y,z)) != u | K(y,K(z,x)) = u.
T(T(K(x,y),z),z) = K(x,y).
x != T(T(y,z),z) | x = T(y,z * z).
K(x,y) = T(K(x,y),z * z).
T(K(x,y),z * z) = K(x,y).
T(K(x,y),z \ 1) = T(K(x,y),z).
L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z.
T(K(x,y),z \ 1) = K(T(x,z),y).
K(T(x,y),z) * y = y * K(x,z).
x * K(T(x,y),z) = T(x,T(z,y \ 1)).
T(x,T(y,z \ 1)) = x * K(T(x,z),y).
K(T(x,y),T(z,y)) = K(x,z).
K(x,T(y,z)) * (z * K(y,x)) = z.
K(x,T(y,z)) * z = z * K(x,y).
K(x,y) * z = z * K(z / (z / x),y).
x * K(x / (x / y),z) = K(y,z) * x.
K(x,T(T(y,z),z)) = K(x,y).
x * y != y * K(z,y \ u) | x = K(z,u / y).
K(x,T(y \ z,y)) = K(x,z / y).
x * y != K(z,T((u / x) \ 1,w)) * x | y = K(z,T((x \ u) \ 1,w)).
K(x,(y / z) \ 1) = K(x,T((z \ y) \ 1,z)).
K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1).
K(x,y \ z) * z = z * K(x,z / y).
K(x,y * K(x \ 1,z)) = K(x,y).
K(x,y * K(z,x)) = K(x,y).
K(x,(y \ 1) * z) = K(x,y \ z).
K(x,y) = K(x,K(x,z) * y).
K(x,K(x,y) * z) = K(x,z).
K(x,y \ T(z,x)) = K(x,y \ z).
K(x,y * (z * x)) = K(x,y * (x * z)).
K(x,y * z) = K(x,y * (x * z)).
K(x,y * (x * z)) = K(x,y * z).
x != K(y * z,T(u,y)) | x = K(z * y,u).
K(x * y,z) = K(y * x,T(z,x)).
K(x * y,T(z,y)) = K(y * x,z).
x != K(y / z,T(u,z)) | x = K(z \ y,u).
K(x / y,z) = K(y \ x,T(z,y)).
K(x \ y,T(z,x)) = K(y / x,z).
K(x,T(y,z)) = K(x,(z * y) / z).
K(x,(y * z) / y) = K(x,T(z,y)).
K(x,T(y,z \ 1)) = K(x,T(y,z)).
K(x,T(y,z \ u)) = K(x,T(y,u \ z)).
T(T(x,K(y,z)),T(T(z,u),u) * y) = T(x,y * T(T(z,u),u)).
x != K(y * z,u / (z * y)) | x = ((y * z) * (u / (z * y))) * (K(z,y) / u).
K(x * y,T(z / (x * y),y)) = ((y * x) * (z / (x * y))) * (K(x,y) / z).
((x * y) * (z / (y * x))) * (K(y,x) / z) = K(y * x,T(z / (y * x),x)).
K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u).
K(x * (y \ 1),z) = K((y \ 1) * x,T(z,y)).
K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z).
x != K(y,T(z,u)) | x = K(T(y,u),z).
K(x,T(y,z)) = K(T(x,z \ 1),y).
K(T(x,y \ 1),z) = K(x,T(z,y)).
K(x,T(y,T(z,u))) = K(x,T(y,u \ (z \ u))).
K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))).
x != K(T(y,z \ 1),u) | x = (z * T(y,u)) / (z * y).
K(x,T(y,z)) = (z * T(x,y)) / (z * x).
(x * T(y,z)) / (x * y) = K(y,T(z,x)).
K(x,T(y,z)) * (z * x) = z * T(x,y).
(x * T(y,z)) / (x * y) = K(y,T(y \ z,x)).
x != (y * T(z,u)) / (y * z) | x = K(z,T(u,y)).
K(x,T(x \ y,z)) = K(x,T(y,z)).
x != K(y,T(y \ z,u)) | x = K(y,T(z / y,u)).
K(x,T(y,z)) = K(x,T(y / x,z)).
K(x,T(y / x,z)) = K(x,T(y,z)).
x != K(y * z,T(u / (y * z),z)) | x = ((z * y) * (u / (y * z))) * (K(y,z) / u).
K(x * y,T(z,y)) = ((y * x) * (z / (x * y))) * (K(x,y) / z).
((x * y) * (z / (y * x))) * (K(y,x) / z) = K(y * x,T(z,x)).
x != K(y * z,T(u,z)) | x = K(z * y,u).
((x * y) * (z / (y * x))) * (K(y,x) / z) = K(x * y,z).
x != ((y * z) * (u / (z * y))) * (K(z,y) / u) | x = K(y * z,u / (z * y)).
K(x * y,z) = K(x * y,z / (y * x)).
K(x * y,z / (y * x)) = K(x * y,z).
(x * (y * ((z / x) / y))) * (K(y,x) / z) = K(x * y,z).
(T(x * y,z \ (u \ 1)) / x) * (K(x,u * z) / y) = K((u * z) * x,y).
K((x * y) * R(z,y,x),u / ((z * y) * T(x,y))) = K((x * y) * R(z,y,x),u).
K(x * (y * z),u / ((z * y) * T(x,y))) = K((x * y) * R(z,y,x),u).
K(x * (y * z),u / ((z * y) * T(x,y))) = K(x * (y * z),u).
K((x * y) / x,z) = K(y,T(z,x)).
K(x \ T(y,x),T(z,x)) = K(y / T(x,y),z).
K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w).
K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)).
K(T(x,y),z * y) = K(x,y * z).
K(x \ y,T(z,y)) = K(y / x,z).
K(x,T(y,z)) = K(x * K(z,x),y).
K(x * K(y,x),z) = K(x,T(z,y)).
L(x,T(y,z),K(y,u)) = x.
L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)).
R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)).
x != K(T(y,z),R(T(u,z),w,v5)) | x = K(y,R(u,w,v5)).
R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)).
R(K(x,y),z * y,u) = K(x,R(y,z,u)).
R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)).
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u).
x != K(y,z) * K(z,R(y,u,w)) | x = a(K(z,y),u,w).
a(K(x,y),z * y,u) = a(K(x,y),z,u).
x != K(y,T(z,u)) | x = K((y \ u) \ u,z).
K(x / y,z) = K(((y \ x) \ x) \ x,z).
K(((x \ y) \ y) \ y,z) = K(y / x,z).
K(x \ L(y,z,u),y) = K(L(y,z,u) / x,y).
K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x).
x / K(x / y,z) = K(y \ x,z) \ x.
K(x,y \ (z * x)) = K(x,y \ (x * z)).
x != K(L(y,z,u) / (w / v5),y) | x = K((L(y,z,u) * v5) / w,y).
K((x / y) \ L(z,u,w),z) = K((L(z,u,w) * y) / x,z).
K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x).
(x \ y) * L(y \ x,z,u) != w | a(u,z,x \ y) = w.
x != L(K((y \ z) \ u,w),u,y) | x = K(z \ (y * u),w).
K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)).
x * y != L(z * y,a(u,w,v5),w) | x = z.
L(a(x,y,z),y,u) = a(x,y,z).
x * y != L(z * y,a(u,w,v5),u) | x = z.
L(a(x,y,z),x,u) = a(x,y,z).
x * y != L(z * y,u * w,K(w,u)) | x = z.
L(x * y,K(y,x),z) = x * y.
x * y != L(z * y,u,K(u,w)) | x = z.
L(x,K(x,y),z) = x.
L(x * (y * z),x,z) != u * (y * z) | L(x,z,y) = u.
x != L(a(y,z,u),w,v5) | x = a(y,z,L(u,w,v5)).
a(x,y,z) = a(x,y,L(z,y,u)).
a(x,y,L(z,y,u)) = a(x,y,z).
L(K(x,y),K(y,z),u) = K(x,y).
x != L(K(y \ (z \ u),w),y,z) | x = K((z * y) \ u,w).
K(K(x,y) \ (z \ u),x) = K((z * K(x,y)) \ u,x).
K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y).
K(x,y) * (K(y,z) * u) = (K(x,y) * K(y,z)) * u.
(K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u).
x != K(K(y,z) \ u,y) | x = K(u,y).
K((x * K(y,z)) \ u,y) = K(x \ u,y).
K((x * K(y,z)) \ u,z) = K(x \ u,z).
K((x * (y * z)) \ u,y) = K((x * (z * y)) \ u,y).
K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z).
(x * K(y \ z,u)) \ x = K(u,(y * K(w,u)) \ z).
K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w.
K((x * (y \ z)) \ u,y) = K((x * (z / y)) \ u,y).
K((x * (y / z)) \ u,z) = K((x * (z \ y)) \ u,z).
x != K(y,z) | x = (z \ 1) / (z \ K(z,y)).
K((x * (y / z)) \ u,z) = (z \ 1) / (z \ K(z,(x * (z \ y)) \ u)).
(x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x).
K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w.
x != (y * K(z,u)) \ y | x = K(u,z).
K(x,(y * K(z,x)) \ u) = K(x,y \ u).
K(x,(y * (z \ 1)) \ u) = K(x,(y * (1 / z)) \ u).
K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u).
x * K(x,y \ z) = T(x,(y * K(u,x)) \ z).
T(x,(y * K(z,x)) \ u) = x * K(x,y \ u).
K(x,(y * (x \ z)) \ u) = K(x,(y * (z / x)) \ u).
K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u).
L(1,x,y) = 1.
x != y | x = z \ (z * y).
L(x,1,y) = z \ (z * x).
L(x,1,y) != z | z = x.
T(x,x * y) != z | z = T(x,y).
T(x,x * y) != z | T(x,y) = z.
T(x / y,x * x) != z | T(x / y,y * x) = z.
T(x / y,y * x) = T(y \ x,x).
R(x,y * z,z / y) * (z * z) = (x * (y * z)) * T(y \ z,z).
L(x,y * z,z / y) * (z * z) = (x * (y * z)) * T(y \ z,z).
x != L(y,z * u,u / z) * (u * u) | x = (u / z) * ((z * u) * T(y,u * u)).
(x * (y * z)) * T(y \ z,z) = (z / y) * ((y * z) * T(x,z * z)).
(x / y) * ((y * x) * T(z,x * x)) = (z * (y * x)) * T(y \ x,x).
R(K(x,T(y,z)),u,w) = K(x,R(T(y,z),y \ u,w)).
K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w).
K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)).
x != K(y,T(z,u)) | x = T(K(y,z),u).
K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z).
T(K(x,y),z) != u | K(x,T(y,z)) = u.
T(x,T(y,(x \ z) \ 1)) = x * K(T(x,z),y).
T(x,T(y,z \ x)) = x * K(T(x,z),y).
x * K(T(x,y),z) = T(x,T(z,y \ x)).
x != y * K(T(y,z),u) | x = K(T(y,z),u) * y.
T(x,T(y,z \ x)) = K(T(x,z),y) * x.
K(T(x,y),z) * x = T(x,T(z,y \ x)).
K(x,T(y,z)) * x = T(x,T(y,z \ x)).
x * y != T(y,z) | x = K(y,z).
K(x,T(y,z)) = K(x,T(y,z \ x)).
K(x,T(y,z \ x)) = K(x,T(y,z)).
x != K(y,T(z,u \ w)) | x = K(y,T(z,w \ u)).
K(x,T(y,z)) = K(x,T(y,x \ z)).
K(x,T(y,x \ z)) = K(x,T(y,z)).
K(x,T(y,z)) = K(x,T(y,x * z)).
K(x,T(y,x * z)) = K(x,T(y,z)).
K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)).
x != K(y,T(z,L(z,u,w) \ 1)) | x = K(y,z).
K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y).
T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)).
(x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x).
x != L(K(y,z),T(z,u),w) | x = K(y,z).
(x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y).
T(x * y,z) = T(x * y,L(z,y,x)).
T(x * y,L(z,y,x)) = T(x * y,z).
T(x * y,L(z,y,x)) != u | T(x * y,z) = u.
T(x * y,(x * y) \ z) = T(x * y,y \ (x \ z)).
(x * (y * z)) / T(x * y,z) = L(z,y,x).
L(x,y,z) * (z * y) = (z * (y * x)) * K(x,z * y).
(x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y).
(x * (y * (y * z))) / T(x * (y * y),z) = L(z,y * y,x).
x != L(y,z,u) * (u * z) | x = (y * z) * T(u,z).
(x * (y * z)) * K(z,x * y) = (z * y) * T(x,y).
((x / y) * ((y * x) * z)) * K(z,x * x) = (z * (y * x)) * T(x / y,y * x).
((x * (x / y)) * (y * z)) * K(z,x * x) = (z * y) * T(x * (x / y),y).
((x / y) * ((y * x) * z)) * K(z,x * x) = (z * (y * x)) * T(y \ x,x).
((x * (x / y)) * (y * z)) * K(z,x * x) = (z * y) * ((y \ x) * x).
T(K(x,y),z) * (z * x) = z * T(x,y).
K(x,y) * (z * x) = z * T(x,T(y,z)).
(x * y) * z != x * T(y,T(u,x)) | T(K(y,u),x * y) = z.
T(K(x,y),z * x) = K(x,T(y,z)).
x * y != K(z,T(u,x)) * (x * z) | y = T(z,u).
T(x,T(T(y,z),z)) = T(x,y).
T(x,T(y \ z,y)) = T(x,z / y).
T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)).
T(x,T(y * z,z)) = T(x,z * y).
T(x,T(y,z)) = T(x,(z * y) / z).
T(x,(y * z) / y) = T(x,T(z,y)).
T(x,T(y \ z,z)) = T(x,z / y).
x * L(y \ z,z,u) = x * L(y \ z,y,u).
(x \ y) * L(y \ x,x,z) = a(z,y,x \ y).
x * L(y \ z,z,u / y) = x * L(y \ z,y,y \ u).
a(x,y,y \ z) = a(x,z,y \ z).
a(x,y,z \ y) = a(x,z,z \ y).
x != a(y,z,z \ u) | x = a(y,z,u * z).
a(x,y,z \ y) = a(x,z,y * z).
a(x / y,z,z \ y) = a(x,y \ 1,z).
x != a(y,z,u \ w) | x = (u \ w) * L(w \ u,z,y).
a(x,y \ 1,z) = (z \ y) * L(y \ z,z,x / y).
(x \ y) * L(y \ x,x,z / y) = a(z,y \ 1,x).
x != y * L(z \ u,u,w / z) | x = y * L(z \ u,z,z \ w).
a(x,y \ 1,z) = (z \ y) * L(y \ z,y,y \ x).
(x \ y) * L(y \ x,y,y \ z) = a(z,y \ 1,x).
a(x \ y,x,z \ x) = a(y,x \ 1,z).
a(x,y \ 1,y / (x * (z * x))) = a(z \ (x \ 1),x,y \ 1).
x != a(y \ (z \ 1),u,w \ 1) | x = a(w,u \ 1,z * y).
a(x,y \ 1,y / (x * (z * x))) = a(y,x \ 1,x * z).
a(x / (y * (z * y)),x,y) = a(x,y \ 1,y * z).
a(x / (y * (z * y)),x,y) != u | a(y * z,y,x) = u.
a(x * y,x,z) = a(z,x,(y * x) \ 1).
a(x,y,(z * y) \ 1) = a(y * z,y,x).
x != a(y,z,(u * z) \ 1) | x = a(u,z,y * z).
a(x * y,x,z) = a(y,x,z * x).
a(x,y,z * y) = a(y \ x,y,z).
a(x \ y,x,z) = a(y,x,z * x).
a((x \ y) * z,x \ y,x) = a(z,x \ y,y).
T(a(x,y,z * y),u) = a(y * x,y,T(z,u)).
a(x * y,x,T(z,u)) = a(y,x,T(z * x,u)).
x != a(y * z,y,u) | x = a(z,y,u * y).
a(x,y,T(z * y,u)) = a(x,y,T(z,u) * y).
a(x,y,T(z,u) * y) = a(x,y,T(z * y,u)).
x != a(y * z,u,z * u) | x = a(u,z,y).
a(x * T(y,z),u,T(y * u,z)) = a(u,T(y,z),x).
x != a(y,z,u * z) | x = a(z,u,u * y).
a(x,y,T(z * y,u)) = a(y,T(z,u),T(z,u) * x).
a(x,T(y,z),T(y,z) * u) = a(u,x,T(y * x,z)).
x != a(y * T(z,u),w,T(z * w,v5)) | x = a(w,z,T(y * K(z,u),v5)).
a(x,T(y,z),u) = a(x,y,T(u * K(y,z),z)).
a(x,y,T(z * K(y,u),u)) = a(x,T(y,u),z).
x != a(y \ z,y,u \ y) | x = a(z,y \ 1,u).
a(x,y,(z \ y) * y) = a(x,y \ 1,z).
x != a(y,z \ 1,u) | x = a(u,z,y).
a(x,y,(z \ y) * y) = a(z,y,x).
a(x,y,z * y) = a(y / z,y,x).
a(x / y,x,z) = a(z,x,y * x).
(L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x).
x != (y * (z * K(u,w))) \ (y * z) | x = L(K(w,u),z,y).
K(x,y) = L(K(x,y),z,L(y,u,w)).
L(K(x,y),z,L(y,u,w)) = K(x,y).
K(x,y) = K(L(x,z,L(y,u,w)),y).
K(L(x,y,L(z,u,w)),z) = K(x,z).
K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y).
x != K(T(y,z),u) | x = K(y,T(u,z)).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)).
x != K(y,T(z,L(z,u,w) \ v5)) | x = K(y,T(z,v5)).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)).
x != K(y \ z,T(u,y)) | x = K(z / y,u).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x).
x != K((L(y,z,u) * w) / v5,y) | x = K((v5 / w) \ L(y,z,u),y).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x).
x != K(((y \ z) \ z) \ z,u) | x = K(z / y,u).
K((x / y) \ L(z,u,w),z) = K(y / (L(z,u,w) \ x),z).
K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y).
K(x,y * R(x,z,u)) = K(x,R(x,z,u) * y).
K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)).
K(x,x * y) = K(x,y * R(x,z,x)).
K(x,y * R(x,z,x)) = K(x,x * y).
x != K(y,z * R(y,u,w)) | x = K(y,R(y,u,w) * z).
K(x,x * y) = K(x,R(x,z,x) * y).
K(x,R(x,y,x) * z) = K(x,x * z).
x != K(y,z) | x = K(R(y,u,y),z).
K(x,x * y) = K(R(x,z,x),R(x,u,x) * y).
K(R(x,y,x),R(x,z,x) * u) = K(x,x * u).
K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u).
x != K(y,z) * T(u,y) | x = T(K(y,z) * u,y).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u).
x != T(T(y,y * z) * R(z,u,w),y) | x = T(y * R(z,u,w),y * z).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x).
R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x).
R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x).
R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x).
T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y).
(x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w.
x * y != R(z,T(u,z),w) | x \ R(z,u,w) = y.
x \ R(x,y,z) = a(x,T(y,x),z).
a(x,y,z) = a(x,T(y,x),z).
a(x,T(y,x),z) = a(x,y,z).
a(x,y,z) / (u \ z) = L(z,y,x) \ u.
a(x,y,z) / (u \ L(z,w,v5)) = L(z,y,x) \ (a(v5,w,z) * u).
(x * y) / (L(x,z,u) \ (a(u,z,x) * y)) = L(x,z,u) * L(x,z,u).
(x * (x * y)) \ (x * (x * (y * z))) = L(z,L(y,x,x),x * x).
L(L(x,y,z),z * y,z) = L(x,L(y,z,z),z * z).
L(L(x,y,z),z * y,z) = L(x,y,z * z).
x != L(y,z * u,z) | x = L(y,u,z).
L(x,y,z * z) = L(L(x,y,z),y,z).
L(L(x,y,z),y,z) = L(x,y,z * z).
a(x,y,L(z,y,x)) / (u \ L(z,y,x)) = L(z,y,x * x) \ u.
a(x,y,z) / (u \ L(z,y,x)) = L(z,y,x * x) \ u.
K((x * y) \ z,x) = K(y \ (x \ z),x).
T(x * K(y,x),L(y,z,x)) = x.
x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z).
(x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)).
x != ((y * z) * ((u \ ((y * z) \ w)) * u)) \ w | x = K(u,(y * (z * u)) \ w).
K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u).
K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)).
K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)).
K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u).
(x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y).
x != K(y,(z * (u / y)) \ w) | x = K(y,(z * (y \ u)) \ w).
K(x,(y * z) \ u) = K(x,(y * (x \ z)) \ (x \ u)).
K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u).
K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u).
K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)).
x != K(y,z \ T(u,y)) | x = K(y,z \ u).
K(x,(y * z) \ (u * x)) = K(x,(y * ((x \ 1) * z)) \ u).
K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)).
K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)).
x != K(y,(z * (y \ u)) \ w) | x = K(y,(z * (u / y)) \ w).
K(x,(y * z) \ (u * x)) = K(x,(y * (z / x)) \ u).
K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)).
K(x,y \ z) = K(x,(x * y) \ (z * x)).
K(x,(x * y) \ (z * x)) = K(x,y \ z).
(x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x).
K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u).
K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z).
K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y).
K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y).
x != K((y * (z \ 1)) \ u,w) | x = L(K(z * (y \ u),w),y \ u,y).
K(x \ (y * z),z) = L(K(z * (x \ y),z),x \ y,x).
L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x).
x != L(K(y * z,y),z,u) | x = K(y * z,y).
K(x \ (y * z),z) = K(z * (x \ y),z).
x != K((y * z) \ (u * w),w) | x = K((y * (w \ z)) \ u,w).
K(x * ((y * z) \ u),x) = K((y * (x \ z)) \ u,x).
K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y).
x != K(y \ ((z \ u) * z),z) | x = K(y \ u,z).
K(x * (y \ (x \ z)),x) = K(y \ z,x).
L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)).
x != L(y * K(z,y),u,w) / L(y,u,w) | x = K(z,L(y,u,w)).
K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)).
x != K(y \ (z * u),L(u,w,v5)) | x = K((z \ y) \ u,L(u,w,v5)).
K(x * (y \ z),L(x,u,w)) = K((z \ y) \ x,L(x,u,w)).
K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)).
(a(x,y,z) * x) / u = a(x,y,z) * (x / u).
L(x,y,z) / u = a(x,y,z) * (x / u).
a(x,y,z) * (x / u) = L(x,y,z) / u.
a(x * (y * z),u,w) * L(z,y,x) = L(x * (y * z),u,w) / T(x * y,z).
L(x * (y * z),u,w) / T(x * y,z) = a(x * (y * z),u,w) * L(z,y,x).
T(K(x,y),z * x) = T(K(x,y),z).
x * (y * (y * x)) = (y * x) * (x * y).
(x * y) * (y * x) = y * (x * (x * y)).
x * ((y / z) * ((z * x) * (y / z))) = (x * (y * x)) * (y / z).
x != y / T(K(z,u) * w,v5) | x = y * T(w \ K(u,z),v5).
L(x,y * y,K(z,u)) = (K(z,u) * (y * (y * x))) * T((y * y) \ K(u,z),x).
(K(x,y) * (z * (z * u))) * T((z * z) \ K(y,x),u) = L(u,z * z,K(x,y)).
L(x * (y * z),y * z,y) / T((x / y) * (y * y),z) = L(z,y * y,x / y).
L(x * (y * z),z,y) / T((x / y) * (y * y),z) = L(z,y * y,x / y).
L(x * (y * z),z,y) / T(x * y,z) = L(z,y * y,x / y).
(x \ y) * T(x,y \ 1) = T(y,x * x).
x != (y \ z) * T(y,u) | x = T(z,y) * K(y,u).
T(x,y * y) = T(x,y) * K(y,x \ 1).
T(x,y) * K(y,x \ 1) = T(x,y * y).
T(x,y) * K(x,y) = T(x,y * y).
x * y != T(z,u) * K(z,u) | T(z,u * u) / y = x.
T(x,y * y) / T(x,y) = K(x,y).
x * T(x,y * y) = T(x,y) * T(x,y).
T(x,y) * T(x,y) = x * T(x,y * y).
T(x,y * y) * L(z,T(x,y),K(x,y)) = K(x,y) * (T(x,y) * z).
x != T(y,z) / T(y,u) | x = K(y,z) * K(u,y).
K(x,y) = K(x,y * y) * K(y,x).
K(x,y * y) * K(y,x) = K(x,y).
K(x,y) * K(x,y) = K(x,y * y).
a(x,y,z \ 1) != u | a(z,y,x) = u.
x * (K(y,z) * K(z,u)) = (x * K(y,z)) * K(z,u).
(x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)).
K(x,L(y,z \ K(x,y),u)) = K(x,L(y,z,u \ 1)).
T(K(x,y),z) = L(T(K(x,y),z),u,K(x,w)).
L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z).
x != L(T(K(y,z),u),u,K(y,w)) | x = T(K(y,z),K(y,w) * u).
T(K(x,y),z) = T(K(x,y),K(x,u) * z).
T(K(x,y),K(x,z) * u) = T(K(x,y),u).
T(K(x,y),z) = T(K(x,y),(x \ z) * x).
T(K(x,y),(x \ z) * x) = T(K(x,y),z).
x != T(K(y,z),u * y) | x = T(K(y,z),u).
T(K(x,y),z) = T(K(x,y),x \ z).
T(K(x,y),x \ z) = T(K(x,y),z).
T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y).
(x / y) * (z * (x * (1 / y))) = x * (y \ ((z * x) * (1 / y))).
(x / y) * (z * (x / y)) = x * (y \ ((z * x) * (1 / y))).
x * (y \ ((z * x) * (1 / y))) = (x / y) * (z * (x / y)).
x * (y \ ((z * x) / y)) = (x / y) * (z * (x / y)).
(x / y) * (z * (x / y)) = x * (y \ ((z * x) / y)).
(x / y) * (z * (x / y)) = x * ((y \ (z * x)) / y).
(x * ((y \ (z * x)) / y)) * y = x * ((y \ z) * x).
x * (y * ((z \ ((z * x) * y)) / z)) = (x * (y * x)) * (y / z).
(x * ((y \ z) * x)) / y = x * ((y \ (z * x)) / y).
(x * (y * x)) / z = x * ((z \ ((z * y) * x)) / z).
x * ((y \ ((y * z) * x)) / y) = (x * (z * x)) / y.
x * ((y * (x * y)) / z) = (x * (y * x)) * (y / z).
(x * (y * x)) * (y / z) = x * ((y * (x * y)) / z).
(x * ((x \ y) * x)) * ((x \ y) / z) = x * (((x \ y) * y) / z).
(x * (y * x)) * (y / (1 / z)) = x * ((y * (x * y)) * z).
(x * (y * x)) * (y * z) = x * ((y * (x * y)) * z).
(x * (x / y)) * (y * z) = (x / y) * ((y * ((x / y) * y)) * z).
(x / y) * ((y * ((x / y) * y)) * z) = (x * (x / y)) * (y * z).
(x / y) * ((y * x) * z) = (x * (x / y)) * (y * z).
(x * (x / y)) * (y * z) = (x / y) * ((y * x) * z).
(x / y) * ((y * x) * z) = (x / (y * x)) * (((y * x) * x) * z).
(x / (y * x)) * (((y * x) * x) * z) = (x / y) * ((y * x) * z).
((x / y) * ((y * x) * z)) * K(z,x * x) = (z * y) * ((y \ x) * x).
x != ((y / z) * ((z * y) * u)) * K(u,y * y) | x = (u * (z * y)) * T(z \ y,y).
(x * y) * ((y \ z) * z) = (x * (y * z)) * T(y \ z,z).
(x * (y * z)) * T(y \ z,z) = (x * y) * ((y \ z) * z).
x != (y * (z * u)) * T(z \ u,u) | x = (u / z) * ((z * u) * T(y,u * u)).
(x * y) * ((y \ z) * z) = (z / y) * ((y * z) * T(x,z * z)).
(x / y) * ((y * x) * T(z,x * x)) = (z * y) * ((y \ x) * x).
(1 / x) * (((x * y) * y) * z) = (y / x) * ((x * y) * z).
(1 / x) * ((x * (y * y)) * z) = (y / x) * ((x * y) * z).
x \ ((x * (y * y)) * z) = (y / x) * ((x * y) * z).
x != y \ ((y * z) * T(u,z)) | x = (u * (z * y)) / y.
(x / y) * ((y * x) * T(z,x * x)) = (z * ((x * x) * y)) / y.
(x / y) * ((y * x) * T(z,x * x)) = (z * (x * (x * y))) / y.
x != (y / z) * ((z * y) * T(u,y * y)) | x = (u * z) * ((z \ y) * y).
(x * (y * (y * z))) / z = (x * z) * ((z \ y) * y).
(x * (y * z)) * L(z,y,x) = x * (y * (z * z)).
x * L(y,z,x / (z * y)) = (x / (z * y)) * (z * (y * y)).
(x / (y * z)) * (y * (z * z)) = x * L(z,y,x / (y * z)).
x != (y / (z * u)) * (z * (u * u)) | x = L(y * u,u,z * u).
x * L(y,z,x / (z * y)) = L(x * y,y,z * y).
L(x * y,y,z * y) = x * L(y,z,x / (z * y)).
L(x * y,y,z * y) != x * u | L(y,z,x / (z * y)) = u.
x * K(x,K(y,z)) = T(x,K(z,y)).
K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)).
K(x,K(y,1 / z)) = K(x,K(y,z)).
K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))).
K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)).
T(x,K(y,z)) = T(x,K(z,y)).
x * K(y,K(z,x)) = T(x,K(y,z)).
K(x,y) * z = T(z * K(x,y),K(x,y)).
T(x * K(y,z),K(y,z)) = K(y,z) * x.
K(x,y) * (z * K(y,x)) = T(z,K(x,y)).
T(K(x,y) * z,K(y,x)) = z * K(x,y).
x * y != T(x * z,x) | T(z,x) = y.
T(x,K(y,z)) = (K(y,z) * x) * K(z,y).
(K(x,y) * z) * K(y,x) = T(z,K(x,y)).
K(x,y) * (z / K(x,y)) = T(z,K(x,y)).
(K(x,y) * K(x,y)) * (z * K(y,x)) = K(x,y) * T(z,K(x,y)).
K(x,y * y) * (z * K(y,x)) = K(x,y) * T(z,K(x,y)).
K(x,y * y) * (z * K(y,x)) = z * K(x,y).
K(x * x,y) * (z * K(y,x)) = z * K(x,y).
K(x * x,y) = K(x,y) * K(x,y).
K(x,y) * K(x,y) = K(x * x,y).
x * (y * K(z,u)) != y * K(u,z) | x = K(u,z * z).
K(x * x,y) = K(x,y * y).
K(x * x,y) * z = K(x,y) * (K(x,y) * z).
K(x,y) * (K(x,y) * z) = K(x * x,y) * z.
K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u.
x != L(a(y,z,u),y,w) | x = (w * y) \ (w * R(y,z,u)).
a(x,y,z) = (u * x) \ (u * R(x,y,z)).
(x * y) \ (x * R(y,z,u)) = a(y,z,u).
(x * (y * z)) \ ((x * y) * R(L(z,y,x),u,w)) = a(L(z,y,x),u,w).
L(a(x,y,z),u * x,w) = (w * (u * x)) \ (w * (u * R(x,y,z))).
(x * (y * z)) \ (x * (y * R(z,u,w))) = L(a(z,u,w),y * z,x).
(x * (y * z)) \ (x * (y * R(z,u,w))) = a(L(z,y,x),u,w).
x != (y * (z * u)) \ (y * (z * R(u,w,v5))) | x = L(a(u,w,v5),z * u,y).
a(L(x,y,z),u,w) = L(a(x,u,w),y * x,z).
L(a(x,y,z),u * x,w) = a(L(x,u,w),y,z).
L(a(x,y,z),u,w) = a(L(x,u / x,w),y,z).
a(L(x,y / x,z),u,w) = L(a(x,u,w),y,z).
a(x,y,z) = L(a(x,y,z),u,x).
L(a(x,y,z),u,x) = a(x,y,z).
a(L(x,y,z),u,w) = L(a(x,u,w),y,z).
L(a(x,y,z),u,w) = a(L(x,u,w),y,z).
x != L(a(y,z,u),z,w) | x = a(y,z,u).
a(L(x,y,z),y,u) = a(x,y,u).
a(x,y,z) * L(x,y,u) = L(L(x,y,u),y,z).
x != L(L(y,z,u),z,u) | x = L(y,z,u * u).
a(x,y,z) * L(x,y,z) = L(x,y,z * z).
a(x,y,a(x,z,u)) = 1.
(x * y) * a(x,z,u) = x * (y * a(x,z,u)).
a(x,y,a(z,x,u)) = 1.
L(a(x,y,z),u,y) = a(x,y,z).
x != y * (z * a(y,z,u)) | x = L(y,z,u) * z.
(x * y) * a(x,y,z) = L(x,y,z) * y.
K(x,y) = K(T(x,z * z),y).
K(T(x,y * y),z) = K(x,z).
a(x \ y,x,z) \ 1 = a(y,x \ 1,x * z).
x != a(y,z \ 1,z * (K(y,z) * u)) | x = a(z \ y,z,u) \ 1.
a(T(x,y) * z,x,y \ 1) = a(y \ x,y,z) \ 1.
x != a(y \ z,y,u) \ 1 | x = a(z,y \ 1,y * u).
a(T(x,y) * z,x,y \ 1) = a(x,y \ 1,y * z).
x != a(y,z \ 1,z * u) | x = a(z \ u,z,y).
a(T(x,y) * z,x,y \ 1) = a(y \ z,y,x).
a(x,y,T(y,x) * z) = a(x \ z,x,y).
x != a(y \ z,y,u) | x = a(z,y,u * y).
a(x,y,T(y,x) * z) = a(z,x,y * x).
K(x,(y * x) \ z) != u | K(x,x \ (y \ z)) = u.
L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)).
T(x * y,x * (y * z)) != u | T(x * y,z) = u.
T(x * y,z) = T(y,z) * T(x,y * z).
T(x,y) * T(z,x * y) = T(z * x,y).
T(x,y) * T(x,y) = T(x * x,y).
T(x,y) * (T(z,y) * T(x,y)) = T((x * z) * x,y).
x != T(y,z) * T(y,z) | x = y * T(y,z * z).
T(x * x,y) = x * T(x,y * y).
x * T(x,y * y) = T(x * x,y).
T(x * x,y) * z = T(x,y) * (T(x,y) * z).
T(x,y) * (T(x,y) * z) = T(x * x,y) * z.
T(x,T(y * (z * u),K(z,u))) = T(x,K(z,u) * (y * (u * z))).
T(x,K(y,z) * (u * (z * y))) = T(x,T(u * (y * z),K(y,z))).
T(x,y) * (T(z,y) * T(x,y)) = T(x * (z * x),y).
T(x,y) * T(x * x,y) = T(x * (x * x),y).
x != a(y,z,(z * u) * z) | x = a(y,z,u).
a(x * y,y,y * z) = a(x,y,z).
(x * y) * a(x,y,z) = L(x * y,y,y * z).
L(x * y,y,y * z) = (x * y) * a(x,y,z).
x != (y * z) * a(y,z,u) | x = L(y,z,u) * z.
L(x * y,y,y * z) = L(x,y,z) * y.
x != L(y,z,z * u) | x = L(y,z,u * z).
L(x,y,z) * y = L(x * y,y,z * y).
L(x * y,y,z * y) = L(x,y,z) * y.
x != L(y,z,u) * z | x = y * (z * a(y,z,u)).
L(x * y,y,z * y) = x * (y * a(x,y,z)).
L(x,y,z / (y * x)) = x * a(z,x,y).
a(x,y,z / (y * x)) = a(z,x,y).
a(x,y,z) = a(z * (y * x),x,y).
a(x * (y * z),z,y) = a(z,y,x).
a((x \ y) \ z,x,y) = a(y,x \ y,z * (x \ y)).
a(x,y \ x,z * (y \ x)) = a((y \ x) \ z,y,x).
x * a(y,z,x) != u | L(x,z \ x,y) = u.
x * K(y,z) = T(K(y,z) * x,x).
T(K(x,y) * z,z) = z * K(x,y).
x * (x * K(y,z)) = (K(y,z) * x) * x.
(K(x,y) * z) * z = z * (z * K(x,y)).
K(x,y) * (z * z) = z * (z * K(x,y)).
K(x,T(y,z)) * (z * z) = z * (K(x,y) * z).
(x * ((x * K(y,z)) * u)) / T(K(y,z) * (x * x),u) = L(u,x * K(y,z),x).
L(x,y * K(z,u),y) = (y * ((y * K(z,u)) * x)) * T((y * y) \ K(u,z),x).
(x * ((x * K(y,z)) * u)) * T((x * x) \ K(z,y),u) = L(u,x * K(y,z),x).
(x * ((x * K(y,z)) * u)) * T(x \ (x \ K(z,y)),u) = L(u,x * K(y,z),x).
(x * ((x * K(y,z)) * u)) * T(x \ (x \ K(z,y)),u) = L(u,K(y,z),x).
(K(x,y) * (z * (z * u))) * T(z \ (z \ K(y,x)),u) = L(u,z * z,K(x,y)).
L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u).
K(L(x,y,z),x * ((u * w) \ v5)) = K(L(x,y,z),(u * (x \ w)) \ v5).
K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)).
x * K(x * x,y) = T(x,y * y).
T(x,y * y) = x * K(x * x,y).
K(x,K(y,L(z,u,w))) = L(K(z,K(x,y)),u,w).
L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))).
K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u.
K(x,K(y,z)) * z = T(z,K(x,y)).
K(x,K(y,z)) * T(K(x,y),z) = K(x,y).
(x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)).
x != K(y,z) | x = T(K(y,z),u * u).
K(x,K(y,z)) * T(K(x,y),z) = T(K(x,y),u * u).
T(K(x,y),z * z) = K(x,K(y,u)) * T(K(x,y),u).
1 = K(x,K(y,z * z)).
K(x,K(y,z * z)) = 1.
T(x,K(y,z * z)) = x.
K(x * x,y) * z = z * K(x * x,y).
K(x,y) * z != T(K(x,y) * u,K(y,x)) | T(u,K(x,y)) = z.
T(x,K(y * y,z)) = x.
x * K(y,z * z) != u | K(y,z * z) * x = u.
K(x * x,T(y,z)) = K(x * x,y).
((x * (x * y)) * K(z * z,u)) * T(x \ (x \ K(u,z * z)),y) = L(y,x * x,K(z * z,u)).
K(x * x,y) * T(x * x,z) = T(T(x * x,y),z).
(x * ((x * y) * L(K(z * z,u),x * y,x \ 1))) * T(x \ (x \ K(u,z * z)),y) = L(y,x * x,K(z * z,u)).
(x * ((x * y) * L(K(z * z,u),y,x \ 1))) * T(x \ (x \ K(u,z * z)),y) = L(y,x * x,K(z * z,u)).
(x * ((x * y) * K(z * z,L(u,y,x \ 1)))) * T(x \ (x \ K(u,z * z)),y) = L(y,x * x,K(z * z,u)).
a(x,y,K(z,u)) * K(u,z) != w | w = K(u,L(z,y,x)).
a(x,y,K(z,u)) * K(u,z) != w | K(u,L(z,y,x)) = w.
R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w.
L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w.
L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)).
K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z).
x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z).
K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u).
L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w.
L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5.
K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),x * (u \ w)) = v5.
T(x,y) * T(x * (x * x),y) = T(x * x,y) * T(x * x,y).
T(x * x,y) * T(x * x,y) = T(x,y) * T(x * (x * x),y).
x != T(y,z) * T(y,z) | x = T(y * y,z).
T(x,y) * T(x * (x * x),y) = T((x * x) * (x * x),y).
T(x,y) * T(x * (x * x),y) = T(x * (x * (x * x)),y).
x != a(y,z \ u,z) | x = a(y,u,z).
a(x,y \ z,z) = a((y \ z) * x,z,y).
a((x \ y) * z,y,x) = a(z,x \ y,y).
a((x \ y) * z,y,x) != u | a(y,x,z) = u.
a(x,y \ x,z * (y \ x)) = a((x \ y) * z,y,x).
x != a(y,z \ y,u) | x = a(u,z,y).
a((x \ y) * z,y,x) = a(z * (y \ x),y,x).
a(x,y,z) = a(z * (x \ y),x,y).
a(x * (y \ z),y,z) = a(y,z,x).
a(x,y,z) * (y * u) = y * (a(z * (x \ y),x,y) * u).
x * (a(y * (z \ x),z,x) * u) = a(z,x,y) * (x * u).
x * (a(y,x,z) * u) = a(y,x,z) * (x * u).
a(x,y,z) * (y * u) = y * (a(x,y,z) * u).
(x * y) * z != x * (a(u,x,w) * y) | T(a(u,x,w),x * y) = z.
T(a(x,y,z),y * u) = (y * u) \ (y * (a(x,y,z) * u)).
(x * y) \ (x * (a(z,x,u) * y)) = T(a(z,x,u),x * y).
L(T(a(x,y,z),u),u,y) = T(a(x,y,z),y * u).
L(a(x,y,T(z,u)),u,y) = T(a(x,y,z),y * u).
x != L(a(y,z,u),w,z) | x = a(y,z,u).
T(a(x,y,z),y * u) = a(x,y,T(z,u)).
K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),(x \ u) \ w).
K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)).
K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ ((1 / x) \ w)).
K(L(x,y,z),u \ ((1 / x) \ w)) = K(L(x,y,z),(x \ u) \ w).
T(x * y,z) = T(x * y,y \ (x \ z)).
T(x * y,y \ (x \ z)) = T(x * y,z).
x != T(y * z,z \ (y \ u)) | x = ((u \ y) * z) * R(u,y,z).
T(x * y,z) = ((z \ x) * y) * R(z,x,y).
((x \ y) * z) * R(x,y,z) = T(y * z,x).
((x \ y) * z) * L(x,y,z) = T(y * z,x).
x != ((y \ z) * u) * L(y,z,u) | x = u * (T(y \ z,u) * y).
T(x * y,z) = y * (T(z \ x,y) * z).
x * (T(y \ z,x) * y) = T(z * x,y).
x * (T(y,x) * z) = T((z * y) * x,z).
T((x * y) * z,x) = z * (T(y,z) * x).
x * y != T(z * x,K(u,w * w)) | T(z,x) = y.
T(K(x,y * y) * z,u) = T(z,u) * K(x,y * y).
T(x,y) * K(z,u * u) = T(K(z,u * u) * x,y).
K(x,y * y) * T(z,u) = T(K(x,y * y) * z,u).
K(x,y) * z != T(K(x,y) * (u * K(y,x)),w) | z = T(u,w) * K(y,x).
T(x * K(y * y,z),u) = T(x,u) * K(y * y,z).
T(x,y) * K(z * z,u) = T(x * K(z * z,u),y).
T(x,K(y,z)) * K(y,z) = K(y,z) * x.
K(x,y) * z != K(x,y) * u | T(T(u,K(x,y)),K(x,y)) = z.
T(T(x,K(y,z)),K(y,z)) = x.
T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y).
x != K((y \ 1) * z,u) | x = K(y \ z,u).
K(x \ 1,y) = K(x \ L(K(y,z),u,w),y).
K(x \ L(K(y,z),u,w),y) = K(x \ 1,y).
K(x * (y * K(z,u)),z) = K(x * y,z).
L(x * K(y \ 1,x),z,u) \ L(x,z,u) = K(L(x,z,u),y \ L(K(x,w),v5,v6)).
K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z).
x != L(y * K(z,y),u,w) \ L(y,u,w) | x = K(L(y,u,w),z).
K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1).
x != K(L(y,z,u),(y \ w) \ v5) | x = K(L(y,z,u),w \ ((1 / y) \ v5)).
K(L(x,y,z),(x \ u) \ 1) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))).
K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1).
x != K(y,(z \ u) \ 1) | x = K(y,u \ z).
K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(x,(y * (z / x)) \ u) != w | K(x,x * ((y * z) \ u)) = w.
T(x,y * y) * z = K(x,y) * (T(x,y) * z).
K(x,y) * (T(x,y) * z) = T(x,y * y) * z.
x * (T(x,y * y) * z) = T(x,y) * (T(x,y) * z).
T(x,y) * (T(x,y) * z) = x * (T(x,y * y) * z).
x != y * (T(y,z) * u) | x = T(y,z) * (y * u).
T(x,y) * (T(x,y) * z) = T(x,y * y) * (x * z).
T(x,y * y) * (x * z) = T(x,y) * (T(x,y) * z).
T(x,y * y) * T(x,z * z) = T(x,y) * (T(x,y) * K(x * x,z)).
x != T(y,z) * (T(y,z) * u) | x = T(y * y,z) * u.
T(x,y * y) * T(x,z * z) = T(x * x,y) * K(x * x,z).
T(x * x,y) * K(x * x,z) = T(x,y * y) * T(x,z * z).
K(x * x,y) * T(x * x,z) = T(x,y * y) * T(x,z * z).
T(x,y * y) * T(x,z * z) = K(x * x,y) * T(x * x,z).
x != K(y * y,z) * T(y * y,u) | x = T(T(y * y,z),u).
T(x,y * y) * T(x,z * z) = T(T(x * x,y),z).
x != a(y,z,u * z) | x = a(z * y,z,u).
a(x / y,x,z) = a(x * z,x,y).
a(x * (x / y),x * x,z) = a((x * x) * z,x * x,y).
a((x * x) * y,x * x,z) = a(x * (x / z),x * x,y).
a(x * (x * y),x * x,z) = a(x * (x / z),x * x,y).
a(x * (x / y),x * x,z) = a(x * (x * z),x * x,y).
x != y * (z * (u * w)) | x = y * (z * (((u / v5) * v5) * w)).
x * (y * (z * (u * z))) = x * ((y * z) * ((((u / y) / w) * w) * (y * z))).
x * ((y * z) * ((((u / y) / w) * w) * (y * z))) = x * (y * (z * (u * z))).
x != y * (z * ((u * y) * z)) | x = (y * z) * (u * (y * z)).
x * (y * (z * (u * z))) = (x * (y * z)) * (((u / y) / x) * (x * (y * z))).
(x * (y * z)) * (((u / y) / x) * (x * (y * z))) = x * (y * (z * (u * z))).
(x * (y * z)) * ((L(u,y,x) / (x * y)) * (x * (y * z))) = x * (y * (z * (u * z))).
(x * (y * z)) * L(L(u,y,x) * L(z,y,x),L(z,y,x),x * y) = x * (y * (z * (u * z))).
(x * (y * z)) * L(L(u,y,x) * L(z,y,x),L(z,y,x),x * y) = (x * y) * L(z * (u * z),y,x).
L(x,y,z) * (L(u,y,z) * L(x,y,z)) = L(x * (u * x),y,z).
L(x,y,z) * (L(1,y,z) * L(x,y,z)) = L(x * x,y,z).
L(x,y,z) * (1 * L(x,y,z)) = L(x * x,y,z).
L(x,y,z) * L(x,y,z) = L(x * x,y,z).
x != L(y,z,u) * L(y,z,u) | x = (y * w) / (L(y,z,u) \ (a(u,z,y) * w)).
L(x * x,y,z) = (x * u) / (L(x,y,z) \ (a(z,y,x) * u)).
(x * y) / (L(x,z,u) \ (a(u,z,x) * y)) = L(x * x,z,u).
(x * y) / (a(z,u,x) / (y \ L(x,u,z))) = L(x * x,u,z).
(x * y) / (L(x,z,u * u) \ y) = L(x * x,z,u).
x != (y * z) / (L(y,u,w) \ z) | x = y * L(y,u,w).
L(x * x,y,z) = x * L(x,y,z * z).
x * L(x,y,z * z) = L(x * x,y,z).
x * L(x,y,K(z,u * u)) = L(x * x,y,K(z,u)).
x * L(x,y,K(z * z,u)) = L(x * x,y,K(z,u)).
x * (x * L(x * x,y,K(z,u * u))) = L((x * x) * (x * x),y,K(z,u)).
x * (x * L(x * x,y,K(z,u * u))) = L(x * (x * (x * x)),y,K(z,u)).
K(x,(K(y,x) * z) \ u) = K(x,z \ u).
T(x * (T(y \ z,x) * y),x) = T(z,y * x) * T(x,y).
T(T(x * y,z),y) = T(x,z * y) * T(y,z).
T(x,y * z) * T(z,y) = T(T(x * z,y),z).
x != T(y \ z,u * y) * T(y,u) | x = T(z,y * (u * y)).
T(T((x \ y) * x,z),x) = T(y,x * (z * x)).
T(T(T(x,y),z),y) = T(x,y * (z * y)).
x != T(T(T(y,z),u),z) | x = T(T(y,u),z * z).
T(x,y * (z * y)) = T(T(x,z),y * y).
T(T(x,y),z * z) = T(x,z * (y * z)).
x != T(T(y,z),u) | x = T(y,u) * K(T(y,u),z).
T(x,y * (z * y)) = T(x,y * y) * K(T(x,y * y),z).
T(x,y * y) * K(T(x,y * y),z) = T(x,y * (z * y)).
T(x,y * y) * K(x,z) = T(x,y * (z * y)).
x * T(x,y * (z * y)) = T(x,y * y) * T(x,z).
T(x,y * y) * T(x,z) = x * T(x,y * (z * y)).
x != T(y,z * z) * T(y,u * u) | x = T(T(y * y,z),u).
x * T(x,y * ((z * z) * y)) = T(T(x * x,y),z).
x * T(x,y * (z * (z * y))) = T(T(x * x,y),z).
x * (x * T(x * x,y * (z * (z * y)))) = T(T((x * x) * (x * x),y),z).
x * (x * T(x * x,y * (z * (z * y)))) = T(T(x * (x * (x * x)),y),z).
(x * y) * ((y \ x) / z) = y * (((y \ x) * x) / z).
(x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)).
K(x * (K(y,z) * u),y) = K(x * u,y).
L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)).
K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z).
x != L(y,z,u) / L(y * K(w,y),z,u) | x = K(L(y,z,u),w).
K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5).
K(L(x,y,z),u) = K(L(x,y,z),K(w,x) * u).
K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w).
K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6).
T(x,(y * K(z,x)) \ u) = T(x,y \ u).
T(x,T(y,x) \ z) = T(x,y \ z).
T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u).
T(x,(K(y,x) * z) \ u) = T(x,z \ u).
T(x,y * (z * K(x,u))) = T(x,y * z).
T(x,y * T(z,K(x,u))) = T(x,y * z).
((x * (y / z)) * z) / (x * y) = a(x,y / z,z).
x != a(y,z / u,u) | x = a(y,z,u).
((x * (y / z)) * z) / (x * y) = a(x,y,z).
((x * (((x \ y) * y) / z)) * z) / (y * y) = a(x,(x \ y) * y,z).
(((x * y) * ((y \ x) / z)) * z) / (x * x) = a(x * y,y \ x,z).
((x * (((x \ y) * y) / z)) * z) / (y * y) = a(y * x,x \ y,z).
x != ((y * (((y \ z) * z) / u)) * u) / (z * z) | x = a(y,(y \ z) * z,u).
a(x * y,y \ x,z) = a(y,(y \ x) * x,z).
(K(x,y) / y) \ 1 = T(y,L(x,z,K(u,y))).
T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1.
x != (K(y,z) / z) \ 1 | x = T(z,y).
T(x,L(y,z,K(u,x))) = T(x,y).
T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u).
x != T(y,(K(z,y) * u) \ w) | x = T(y,u \ w).
T(x,y \ z) = T(x,y \ (K(u,x) * z)).
T(x,y \ (K(z,x) * u)) = T(x,y \ u).
T(x,y \ (z * x)) = T(x,y \ (x * z)).
L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)).
K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),u \ (w * x)).
K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),u \ (x * w)).
K(L(x,y,z),x * (u \ w)) = K(L(x,y,z),u \ (x * w)).
K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)).
x != K(L(y,z,u),w \ (y * L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y).
K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(x,K(y,z / (u * z))) = K(x,K(y,u)).
(x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))).
(K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)).
T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z).
T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)).
K(x,y) * (K(z,x) * (K(x,y) \ u)) = T(K(z,x) * T(u,K(x,y)),K(x,y)).
x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u.
K(x,K(y \ z,z)) = K(z,K(x,y)).
a(T(x,y),z,z \ T(x \ y,x)) != u | a(y,x * y,z) = u.
a(T(x,y),z,z \ T(x \ y,x)) = a(y,(x \ y) \ y,z).
a(x,y * x,z) = a(x,(y \ x) \ x,z).
a(x,(y \ x) \ x,z) = a(x,y * x,z).
a(x,T(y,x),z) = a(x,y * x,z).
a(x,y * x,z) = a(x,T(y,x),z).
a(x,(y * K(x,y)) * x,z) = a(x,y,z).
a(x,x * y,z) = a(x,y,z).
a(x,y * y,z) = a(x,(x \ y) * y,z).
a(x,(x \ y) * y,z) = a(x,y * y,z).
a(x * y,x * x,z) = a(x * y,y \ x,z).
a(x * y,y \ x,z) = a(x * y,x * x,z).
x != a(y,(y \ z) * z,u) | x = a(z * y,y \ z,u).
a(x,y * y,z) = a(y * x,x \ y,z).
a(x * y,y \ x,z) = a(y,x * x,z).
x != a(y * z,z \ y,u) | x = a(y * z,y * y,u).
a(x,y * y,z) = a(y * x,y * y,z).
a(x * y,x * x,z) = a(y,x * x,z).
x != a(y * z,y * y,u) | x = a(z,y * y,u).
a(x * (x * y),x * x,z) = a(y,x * x,z).
x != a(y * (y * z),y * y,u) | x = a(y * (y / u),y * y,z).
a(x,y * y,z) = a(y * (y / z),y * y,x).
a(x * (x / y),x * x,z) = a(z,x * x,y).
a(x,y * y,z) = a(y / z,y * y,x).
a(x / y,x * x,z) = a(z,x * x,y).
a(x / y,x * x,z) = a(z,x * x,y * x).
x != a(y / z,y * y,u) | x = a(u,y * y,z * y).
a(x,y * y,z) = a(x,y * y,z * y).
a(x,y * y,z * y) = a(x,y * y,z).
a(x,y * y,z * y) * x = L(x,y * y,z).
L(x,y * y,z * y) = L(x,y * y,z).
L(x,y * y,z) = L(x,y * y,z / y).
L(x,y * y,z / y) = L(x,y * y,z).
x != L(y,z * z,u / z) | x = L(u * (z * y),y,z) / T(u * z,y).
L(x,y * y,z) = L(z * (y * x),x,y) / T(z * y,x).
L(x * (y * z),z,y) / T(x * y,z) = L(z,y * y,x).
x != L(y * (z * u),w,v5) / T(y * z,u) | x = a(y * (z * u),w,v5) * L(u,z,y).
L(x,y * y,z) = a(z * (y * x),x,y) * L(x,y,z).
a(x * (y * z),z,y) * L(z,y,x) = L(z,y * y,x).
a(x,y,z) * L(x,y,z) = L(x,y * y,z).
x != a(y,z,u) * L(y,z,u) | x = L(y,z,u * u).
L(x,y * y,z) = L(x,y,z * z).
x * L(x,y * y,z) = L(x * x,y,z).
K(x,y) * K(x,K(y,z)) = K(x,T(y,z)).
K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u.
K(x,y) * K(y,K(x,z)) = K(x,T(y,z)).
K(x,y) * z != K(x,u) | z = K(x,u) * K(y,x).
K(x,K(y,z)) = K(y,T(x,z)) * K(x,y).
K(x,T(y,z)) * K(y,x) = K(y,K(x,z)).
K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u.
L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)).
x != L(y \ (z / u),y,u) | x = T(z / (y * u),y).
(K(x,y) * z) \ T(u,K(x,y)) = T(u / (z * K(x,y)),z).
T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)).
T(x,L(y,x,z)) = T(x,y).
T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u).
K(x,y) = K(x,K(x,z) \ y).
K(x,K(x,y) \ z) = K(x,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)).
x != K(y,K(z,u)) | x = K(z,K(y,u)).
K(x,K(y,K(x,z) * u)) = K(x,K(y,u)).
K(x,K(y,z)) = K(x,K(y,z * K(u,x))).
K(x,K(y,z * K(u,x))) = K(x,K(y,z)).
K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)).
x != K(y,K(z,u)) * (u * w) | x = T(u,K(y,z)) * w.
T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z).
T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)).
x * K(y,z) != T(u * K(y,z),w) | x = K(z,y) * T(K(z,y) \ u,w).
T(x,K(y,z)) = K(y,u) * T(K(y,u) \ x,K(y,z)).
K(x,y) * T(K(x,y) \ z,K(x,u)) = T(z,K(x,u)).
T(x,K(y,z)) * L(K(u,y),w,v5) = T(x * K(L(u \ 1,w,v5) \ 1,y),K(y,z)).
T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u).
T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y).
K(x,y) * T(z,K(y,u)) = T(K(x,y) * z,K(y,u)).
K(x,y) * (K(z,x) * (K(x,y) \ u)) = T(T(K(z,x) * u,K(x,y)),K(x,y)).
x != T(T(y,K(z,u)),K(z,u)) | x = y.
K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u.
K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u).
K(x,y) * z = K(u,x) * (K(x,y) * (K(x,u) * z)).
K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u.
x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x.
(K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y).
x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y).
x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,u))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x).
x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,u))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x).
x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x).
K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)).
K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)).
K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)).
(x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y).
x != T(y,z) * K(u,z) | x = T(y * K(u,z),z).
(x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y).
K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),R(y,z,u)).
T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)).
T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)).
x != T(a(K(y,z),u,w),v5) | x = a(K(y,T(z,v5)),u,w).
K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u).
K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u).
K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u).
K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u).
K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u).
K(x,x * a(y,z,u)) = a(K(x,y),z * y,u).
x != a(K(y,z),u * z,w) | x = a(K(y,z),u,w).
K(x,x * a(y,z,u)) = a(K(x,y),z,u).
L(x / (y * z),y * z,K(z,y)) = (x * K(z,y)) / (z * y).
L(x,y * z,K(z,y)) = ((x * (y * z)) * K(z,y)) / (z * y).
((x * (y * z)) * K(z,y)) / (z * y) = L(x,y * z,K(z,y)).
T(K(x,(y / (x * z)) \ 1),u) = R(T(K(x,(y / z) \ x),u),x,z).
R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u).
R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)).
R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)).
K(x,T((y / z) \ x,u)) = K(x,T((y / (x * z)) \ 1,u)).
K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)).
x != K(y,T((z / u) \ 1,z)) | x = K(y,z \ u).
K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)).
K(x,T(y \ x,z)) = K(x,z \ (x * (y \ z))).
K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)).
x != K(y,z \ (y * u)) | x = K(y,z \ (u * y)).
K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)).
K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)).
x != K(y,(y * z) \ (u * y)) | x = K(y,z \ u).
K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))).
x != K(y,T(z,y * u)) | x = K(y,T(z,u)).
K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)).
K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))).
x != K(L(y,z,u),L(K(w,y),v5,v6) * v7) | x = K(L(y,z,u),v7).
K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))).
K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))).
K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))).
T(L(x,y,z),L(x,y,z) \ u) = L(T(x,(z * (y * x)) \ ((z * y) * u)),y,z).
L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u).
K(x \ y,z \ (x \ y)) = K(x \ y,(x * z) \ y).
K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)).
L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w).
L(K(x,y),z,T(x,u)) = K(x,y).
x != L(K(y,z \ (u \ w)),u \ w,u) | x = K(y,(u * z) \ w).
K(x,y \ (T(x,z) \ u)) = K(x,(T(x,z) * y) \ u).
K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)).
K(K(x,y),z) = K(x,K(K(x,u) \ y,z)).
K(x,K(K(x,y) \ z,u)) = K(K(x,z),u).
x != K(K(y,z),u) | x = K(y,K(z,u)).
K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)).
K(x,K(y,z)) = K(K(x,u) \ y,K(x,z)).
K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)).
K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))).
K(x,K(y,z \ x)) = K(x,K(y,z)).
x != K(y,K(z,u)) | x = K(y,K(u,z)).
K(x,K(y,z \ x)) = K(x,K(z,y)).
K(x,K(y,z)) = K(x,K(x / z,y)).
K(x,K(x / y,z)) = K(x,K(z,y)).
x * K(x,K(y,z)) = T(x,K(z,y \ x)).
K(x,K(x / y,z)) = K(x,K(y,z)).
K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))).
K(x,K(x / y,z)) != u | K(x,K(y,z)) = u.
K(x / y,K(x,z)) != u | K(x,K(y,z)) = u.
K(x,T(L(y,z,u),u * z)) = K(x,(u * (z * y)) / (u * z)).
K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)).
K(x,y \ T(z * y,u)) = K(x,T(y * z,u) / y).
K(x,T(y * z,u) / y) = K(x,y \ T(z * y,u)).
K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)).
K(x / y,T(z,u)) \ T(K(y \ x,z),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)).
K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u).
K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)).
x != K(y,T(z,u)) \ w | x = K(z,T(y,u)) * w.
K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)).
x != K(K(y,z) \ u,T(K(y,w),v5)) | x = K(y,K(u,T(w,v5))).
K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))).
K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w.
K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))).
L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5.
L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5.
K(x,y \ (K(x,z) * u)) = K(x,(K(z,x) * y) \ u).
K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)).
x != K(y,(K(z,y) * u) \ w) | x = K(y,u \ w).
K(x,y \ (K(x,z) * u)) = K(x,y \ u).
K(x,y \ (x \ z)) = K(x,y \ (T(x,u) \ z)).
K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)).
x != K(y,z \ (T(y,u) \ w)) | x = K(y,(T(y,u) * z) \ w).
K(x,y \ (x \ z)) = K(x,(T(x,u) * y) \ z).
K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)).
K(x,(y * x) \ z) = K(x,y \ (x \ z)).
K(x,x \ (y \ z)) = K(x,y \ (x \ z)).
K(x,y \ (x \ z)) = K(x,x \ (y \ z)).
x != K(y,(z * (y \ u)) \ (y \ w)) | x = K(y,(z * u) \ w).
K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u).
K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
L(K(x,(y * z) \ u),w * x,v5) = K(L(x,w,v5),x \ ((y * (x \ z)) \ u)).
K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z).
K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5).
T(x / y,T(y,y * z)) = T(y \ x,K(y,z)).
x * T(x \ y,K(x,z)) = T(y,K(x,x * z)).
T(x,K(y,z)) * y = T(x * y,K(y,y * z)).
T(x * y,K(y,y * z)) = T(x,K(y,z)) * y.
T(x * y,K(y,z)) = T(x,K(y,z)) * y.
T(x,K(y,z)) * y = T(x * y,K(y,z)).
K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w.
K((x * y) \ (z \ u),z) = K((x * (z * y)) \ u,z).
K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y).
1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u).
x != 1 / (y \ K(z,y)) | x = T(y,z).
T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)).
x != T(y,(z * (y * u)) \ w) | x = T(y,(z * (u * y)) \ w).
T(x,(y * z) \ (x \ u)) = T(x,(y * (z * x)) \ u).
T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)).
L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u).
T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w).
T(x,K(y,z)) * L(K(u,y),w,v5) = T(x * L(K(u,y),w,v5),K(y,z)).
x * y != T((y \ z) * y,u) | x = y \ T(z,u).
T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)).
L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)).
L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)).
L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)).
T(x,K(y,z)) * L(K(y,u),w,v5) = T(L(K(y,u),w,v5) * T(x,L(K(y,u),w,v5)),K(y,z)).
T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u).
T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w).
T(x,K(y,z)) * L(K(y,u),w,v5) = T(x * L(K(y,u),w,v5),K(y,z)).
T(x,y) = T(x,L(y,z,x)).
T(x,L(y,z,x)) = T(x,y).
T(x,(x * y) \ z) = T(x,y \ (x \ z)).
T(x,(y * x) \ z) = T(x,T(y,x) \ (x \ z)).
T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z).
x != T(y,T(z,y) \ u) | x = T(y,z \ u).
T(x,(y * x) \ z) = T(x,y \ (x \ z)).
T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))).
x != T(y,L(z,y,u)) | x = T(y,z).
T(x,y \ (x \ (y * z))) = T(x,x \ z).
L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y).
T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z).
(L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w).
x != (L(y,z,u) \ w) / (L(T(y,v5),z,u) \ w) | x = K(L(y,z,u),v5).
K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u).
x != K(L(y,z,u),L(y,z,u) \ ((w * (y \ (1 / L(y,z,u)))) \ v5)) | x = K(L(y,z,u),(w * (1 / y)) \ v5).
K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
x != K(L(y,z,u),y \ ((w * (y \ v5)) \ v6)) | x = K(L(y,z,u),(w * v5) \ v6).
K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),(u * (1 / L(x,y,z))) \ w).
K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w).
K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
x != K(y,(z * (1 / u)) \ w) | x = K(y,(z * (u \ 1)) \ w).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w).
x != K(L(y,z,u),(w * (y \ v5)) \ v6) | x = K(L(y,z,u),y * ((w * v5) \ v6)).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)).
x != K(L(y,z,u),L(y,z,u) * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),T(w \ L(y,z,u),L(K(y,v5),v6,v7))).
K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))).
K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))).
x != K(L(y,z,u),y * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y).
K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x).
(x * K(L(y,z,u),w \ y)) \ x = K(w \ L(y,z,u),L(y,z,u)).
K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w.
K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)).
T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)).
T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)).
T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)).
T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)).
x \ T(L(y,z,u) * x,L(y,z,u)) = L(T(y * K(y * x,y),x),z,u).
L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)).
L(R(x,y,x),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)).
x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u).
R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z).
(x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))).
x * R(y,z,y) = x * R(y,z,L(y,x,u)).
x * R(y,z,L(y,x,u)) = x * R(y,z,y).
R(x,y,x) = R(x,y,L(x,z,u)).
R(x,y,L(x,z,u)) = R(x,y,x).
(x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y).
K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)).
x != (y * T(z,u)) \ (y * R(z,u,z)) | x = K(z * u,z).
K(x * L(y,z,u),y) = K(y * x,y).
K(x * (y \ 1),x) = K(y \ L(x,z,u),x).
K(x \ L(y,z,u),y) = K(y * (x \ 1),y).
x != K((L(y,z,u) \ w) * L(y,z,u),y) | x = K(w,y).
K(x * (L(x,y,z) \ u),x) = K(u,x).
x != K(y * (z \ (y \ u)),y) | x = K(z \ u,y).
K(x \ y,x) = K(L(x,z,u) \ y,x).
K(L(x,y,z) \ u,x) = K(x \ u,x).
x != K(L(y,z,u) \ w,y) | x = K(w / L(y,z,u),y).
K(x \ y,x) = K(y / L(x,z,u),x).
K(x / L(y,z,u),y) = K(y \ x,y).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)).
K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)).
x != K(y,z * (L(z,u,w) \ y)) | x = a(w,u,K(z \ y,z)).
a(x,y,K(z,u)) = a(x,y,K(u \ z,u)).
a(x,y,K(z \ u,z)) = a(x,y,K(u,z)).
a(x,y,K(z,u \ z)) = a(x,y,K(u,z)).
a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)).
K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)).
K(x,x * a(y,z,u)) = a(y,z,K(x,u)).
K(x,a(y,z,u)) = a(y,z,K(x,u)).
x != K(y,y * a(z,u,w)) | x = a(K(y,z),u,w).
a(x,y,K(z,u)) = a(K(z,x),y,u).
a(K(x,y),z,u) = a(y,z,K(x,u)).
a(x,y,K(z,u)) = a(z,y,K(u,x)).
a(x,y,K(z,u)) = a(u,y,K(x,z)).
a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w.
K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u).
a(x,y,K(z,u)) = a(K(x,u),y,z).
a(K(x,y),z,u) = a(x,z,K(u,y)).
a(x,y \ 1,K(z,u)) != w | a(z,y,K(x,u)) = w.
a(K(x,y * z),u,w) = a(x,u,K(w,y * (x * z))).
a(x,y,K(z,u * (x * w))) = a(K(x,u * w),y,z).
a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z).
a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w.
x != a(K(y,z),u,w) | x = a(y,u,K(w,z)).
a(x,y,K(z,u * (x * w))) = a(x,y,K(z,u * w)).
a(x,y,K(z,u * w)) = a(x,y,K(z,u * (x \ w))).
a(x,y,K(z,u * (x \ w))) = a(x,y,K(z,u * w)).
a(x,y,K(z,u)) = a(x,y,K(z,x * u)).
a(x,y,K(z,x * u)) = a(x,y,K(z,u)).
a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)).
a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)).
x != K(y,a(z,u \ 1,w)) | x = K(a(z / u,u,u \ w),y).
a(x,y \ 1,K(z,u)) = K(a(x / y,y,y \ u),z).
K(a(x / y,y,y \ z),u) = a(x,y \ 1,K(u,z)).
x * a(y,z,K(x,u)) = T(x,a(y,z,u)).
K(x,a(y,z,u \ 1)) = a(z,u \ 1,K(x,u * (z \ y))).
a(x,y \ 1,K(z,y * (x \ u))) = K(z,a(u,x,y \ 1)).
K(a(x / y,y,z),u) = a(x,y \ 1,K(u,y * z)).
a(x,y \ 1,K(z,y * u)) = K(a(x / y,y,u),z).
x != K(y,a(z,u,w)) | x = a(z,u,K(y,w)).
a(x,y \ 1,K(z,y * (x \ u))) = a(u,x,K(z,y \ 1)).
a(x,y \ 1,K(z,y * (x \ u))) = a(u,x,K(y,z)).
x != a(y,z,K(u,w * (y \ v5))) | x = a(y,z,K(u,w * v5)).
a(x,y,K(z,u)) = a(y,z \ 1,K(u,z * x)).
a(x,y \ 1,K(z,y * u)) = a(u,x,K(y,z)).
K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)).
x != K(y * (z \ 1),y) | x = K(z \ y,y).
K(x \ L(y,z,u),y) = K(x \ y,y).
x != K((y / z) \ L(u,w,v5),u) | x = K(z / (L(u,w,v5) \ y),u).
K((x / y) \ z,z) = K(y / (L(z,u,w) \ x),z).
K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y).
K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)).
K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)).
x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))).
K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w).
x != y / (a(z,u,K(w,v5)) * y) | x = a(z,u,K(v5,w)).
K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)).
x * a(y,z,K(u,x)) = T(x,x * (u \ L(u,z,y))).
T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)).
x != T(y,y * (z \ L(z,u,w))) | x = L(T(y,a(w,u,z) \ 1),v5,y).
x * a(y,z,K(u,x)) = L(T(x,a(y,z,u) \ 1),w,x).
L(T(x,a(y,z,u) \ 1),w,x) = x * a(y,z,K(u,x)).
T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)).
x * a(y,z,K(u,x)) = T(x,a(y,z,u) \ x).
x * y != T(x,z \ x) | y = K(z,x).
a(x,y,K(z,u)) = K(a(x,y,z),u).
K(a(x,y,z),u) = a(x,y,K(z,u)).
x != K(a(y / z,z,u),w) | x = a(y,z \ 1,K(w,z * u)).
a(x / y,y,K(z,u)) = a(x,y \ 1,K(u,y * z)).
a(x,y \ 1,K(z,y * u)) = a(x / y,y,K(u,z)).
a(x,y,K(z,y * u)) = a(z / y,y,K(u,x)).
a(x / y,y,K(z,u)) = a(u,y,K(x,y * z)).
x != a(y,z \ 1,K(u,z * w)) | x = a(w,y,K(z,u)).
a(x / y,y,K(z,u)) = a(z,x,K(y,u)).
x != a((y * K(z,u)) / w,w,K(u,z)) | x = L(y,K(u,z),w) \ y.
a(x,y * K(z,x),K(u,z)) = L(y,K(x,z),u) \ y.
a(x / y,y,K(y \ z,u)) = a(u,y,K(x,z)).
x != a(y,z,K(u \ w,v5)) | x = a(y,z,K(v5,w \ u)).
a(x,y,K(z,u)) = a(z / y,y,K(x,u \ y)).
a(x / y,y,K(z,u \ y)) = a(z,y,K(x,u)).
x != a(y / z,z,K(u,w)) | x = a(u,y,K(z,w)).
a(x,y,K(z,u)) = a(x,z,K(y,u \ y)).
a(x,y,K(z,u \ z)) = a(x,z,K(y,u)).
x != a(y,z,K(u,w \ u)) | x = a(y,z,K(w,u)).
a(x,y,K(z,u)) = a(x,z,K(u,y)).
a(x,y,K(z,u)) = a(x,u,K(y,z)).
a(x,y,K(z,u)) = a(z,x,K(y,u)).
a(x,y,K(z,u)) * x = R(x,z,K(u,y)).
K(x,y) * a(z,x,K(u,y)) = K(x,L(y,u,z)).
x != a(y,z,K(u,w)) | x = K(u,w) * K(w,L(u,z,y)).
a(x,y,K(z,u)) = K(y,u) * K(u,L(y,x,z)).
K(x,y) * K(y,L(x,z,u)) = a(z,x,K(u,y)).
a(x,y * K(z,u),K(w,z)) = a(w,x,K(y,z)).
x * a(y,x,K(z,u)) = L(x,z,K(y,u)).
K(x,y * (z * u)) * K((y * z) * u,x) = a(y,x,K(z,y * (z * u))).
K(x,y * (z * u)) * K((y * z) * u,x) = a(y,x,K(z,y * u)).
x != a(y,z,K(u,y * w)) | x = a(y,z,K(u,w)).
K(x,y * (z * u)) * K((y * z) * u,x) = a(y,x,K(z,u)).
x * L(y,z,K(x,u)) = L(x,y,K(z,u)) * y.
L(x,y,K(z,u)) * y = x * L(y,z,K(x,u)).
L(x,y,K(z,u)) = R(x,z,K(u,y)).
R(x,y,K(z,u)) = L(x,u,K(y,z)).
L(x,y,K(z,u)) = L(x,u,K(y,z)).
L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w.
L(x,y * z,K(y,u)) = L(x,u,K(z,y)).
L(x,y,T(z,u)) = L(L(x,y,z),u,K(y,z)).
L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)).
x != L(L(y,z,u),w,v5) | x = L(L(y,w,v5),z,u).
L(x,y,T(z,u)) = L(L(x,u,K(y,z)),y,z).
L(L(x,y,K(z,u)),z,u) = L(x,z,T(u,y)).
L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w.
x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w.
a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))).
a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))).
L(x,y,K(z,u)) = T(x,a(u,y,z)).
T(x,a(y,z,u)) = L(x,z,K(u,y)).
a(x,y,z) * L(u,y,K(z,x)) = u * a(x,y,z).
T(x,a(y,z,u)) != w | L(x,y,K(z,u)) = w.
x != a(y,z * K(u,w),K(v5,u)) | x = a(v5,y,K(z,u)).
L(x,K(y,z),u) \ x = a(u,y,K(x,z)).
a(x,K(y,z),u) = a(x,y,K(u,z)).
a(x,y,K(z,u)) * x = R(x,K(y,u),z).
R(x,K(y,z),u) != w | L(x,y,K(u,z)) = w.
L(x,K(y,z),u) != w | L(x,y,K(u,z)) = w.
(x * ((x * K(y,z)) * u)) * T(x \ (x \ K(z,y)),u) != w | L(u,y,K(x,z)) = w.
K(x,y) * a(z,u,K(x,y)) = K(x,L(y,z,u)).
L(K(x,y),z \ K(x,y),u) = K(x,L(y,u,z)).
K(x,L(y,z \ K(x,y),u)) = K(x,L(y,u,z)).
x != K(y,L(z,u \ K(y,z),w)) | x = K(y,L(z,u,w \ 1)).
K(x,L(y,z,u)) = K(x,L(y,u,z \ 1)).
K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)).
(x * ((x * y) * K(z * z,L(u,x,y)))) * T(x \ (x \ K(u,z * z)),y) = L(y,x * x,K(z * z,u)).
(x * (y * (T(x,y) * K(z * z,u)))) * T(x \ (x \ K(u,z * z)),y) = L(y,x * x,K(z * z,u)).
(x * (y * T(x * K(z * z,u),y))) * T(x \ (x \ K(u,z * z)),y) = L(y,x * x,K(z * z,u)).
(x * ((x * K(y * y,z)) * u)) * T(x \ (x \ K(z,y * y)),u) = L(u,x * x,K(y * y,z)).
L(x,y * y,K(z,u)) = L(x,z * z,K(y * y,u)).
L(x,y * y,K(z * z,u)) = L(x,z * z,K(y,u)).
L(x,y,K(z * z,u * u)) = L(x,u * u,K(z,y)).
x * L(x,y * y,K(z,u)) = L(x * x,u,K(z,y * y)).
x != y * L(y,z * z,u) | x = L(y * y,z,u).
L(x * x,y,K(z,u * u)) = L(x * x,u,K(z,y)).
x * (x * L(x * x,y,K(z,u))) = L(x * (x * (x * x)),u,K(z,y)).
(x * L(y * (y * (y * y)),z,K(u,w))) / (y * y) = x * L(y * y,w,K(u,z)).
x != L(K(y,K(z,u)),w,v5) | x = K(z,K(u,L(y,w,v5))).
a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))).
a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5.
a(x,y \ z,K(y,K(u,w))) * K(x,K(u,w)) = K(u,K(w,z \ (y * ((y \ z) * x)))).
K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)).
a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5.
x != L(T(y,z),u,w) \ (z * L(y,u,w)) | x = T(T(z,L(y,u,w)),L(y,u,w)).
x = T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)).
T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x.
x != T(T(y / z,u),z) | x = T(z \ y,u).
x / L(K(y,z),u,w) = T(L(K(y,z),u,w) \ x,L(K(y,z),u,w)).
T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u).
T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u).
T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u).
T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u).
T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x.
x != K(L(y,z / y,u),w) | x = L(K(y,w),z,u).
K(L(x,y / T(x,z),u),w) = L(K(T(x,z),T(w,z)),y,u).
L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z).
x != K(L(T(y,z),u,w),T(v5,z)) | x = K(L(y,u,w),v5).
L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y).
L(K(x,y),z,u) = K(L(x,T(x,w) \ z,u),y).
K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u).
x != K(L(y,T(y,z) \ u,w),v5) | x = L(K(y,v5),K(z,y) * u,w).
L(K(x,y),z,u) = L(K(x,y),K(w,x) * z,u).
L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w).
L(K(x,y),z,u) = L(K(x,y),K(x,w) * z,u).
L(K(x,y),K(x,z) * u,w) = L(K(x,y),u,w).
x != L(y,z,T(u,z)) | x = L(y,z,u).
L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),K(x,w) * z,u).
x != L(K(y,z),K(y,u) * w,v5) | x = L(K(y,z),w,v5).
L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),z,u).
L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z).
L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z).
x != L(K(y,z),u,w) * v5 | x = T(v5 * L(K(y,z),u,w),K(z,L(y,u,w))).
x * T(y,K(z,u) * x) = T((y * (K(z,u) * x)) * L(K(u,z),x,y),K(z,L(u,x,y))).
T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u).
(x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)).
a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))).
x != a(y,z,K(u,w)) | x = a(u,y,K(z,w)).
a(x,y,K(z,K(u,w))) = a(z,u,K(y,K(x,w))).
a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))).
a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y).
a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y).
K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),w,u).
L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))).
K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))).
K(x,K(y,1 / L(z,u,w))) = K(x,K(y,L(L(1 / z,z,u),w,u * z))).
K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))).
K(x,K(y,z \ ((z / (u * w)) * (u * (w * v5))))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))).
K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))).
x != K(y,K(z,1 / u)) | x = K(y,K(z,u)).
K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))).
K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)).
K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))).
x != K(y,L(z,u,w)) | x = L(K(y,z),z * u,w).
K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)).
K(x,y) * z != L(K(x,y),u,K(w,v5)) | z = a(x,u,K(y,K(w,v5))).
a(x,y,K(z,K(u,w))) = a(x,z * y,K(z,K(u,w))).
a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))).
a(x,y,K(z,K(u,w))) = a(x,z \ y,K(z,K(u,w))).
a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))).
K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)).
x != a(y,z,K(u,K(w,v5))) * K(y,K(w,v5)) | x = K(w,K(v5,L(y,z,u))).
K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))).
K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))).
K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))).
(x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))).
(x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
T(x,y) / (T(x,y) * y) = x / (x * y).
(x / (x * y)) \ T(x,y) = T(x,y) * 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,y,z),u) = L(K(x,u),y * T(x,w),z).
L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y).
K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w).
T(x * K(L(y,z,u),w),K(w,v5)) \ T(x,K(w,v5)) = K(w,L(y,z * K(y,v6),u)).
K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)).
x != T(y * K(z,u),K(u,w)) \ T(y,K(u,w)) | x = K(u,z).
K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)).
K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)).
(x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)).
T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y).
((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x).
T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y).
((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x).
x != (y / z) \ T(y,K(u,w)) | x = z * K(u,K(w,y)).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * (K(y,z) * u))).
(x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x).
(x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)).
T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)).
x != T(y,K(z,u)) * L(K(z,w),v5,v6) | x = T(y * L(K(z,w),v5,v6),K(z,u)).
(x * T(y,K(z,u))) * K(z,K(u,x * y)) = T((x * (K(z,u) * y)) * L(K(u,z),y,x),K(u,L(z,y,x))).
T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)).
T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)).
(x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))).
x * y != T(z * T(u,K(w,v5)),K(v5,L(w,u,z))) | x \ ((z * T(u,K(w,v5))) * K(w,K(v5,z * u))) = y.
x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x).
x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x).
x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x).
x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x).
x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x).
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x).
x \ T(y * 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(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).
x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y.
x \ T(x,K(y,z) * u) = K(x,K(z,y) * u).
T(x,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 * z) / y) * u) = T(x,T(z,y) * u).
T(x,y * z) = T(x,T(T(y,u),u) * z).
T(x,T(T(y,z),z) * u) = T(x,y * u).
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 * u)) = T(x,y * z).
T(x,(y / z) * T(z,u * u)) = T(x,y).
T(x,y * K(z,u * u)) = T(x,y).
T(x,y) = T(x,K(z * z,u) * y).
T(x,K(y * y,z) * u) = T(x,u).
T(x,y * z) = T(x,y * (K(u,w * w) * z)).
T(x,y * (K(z,u * u) * w)) = T(x,y * w).
T(x,y * K(z,u)) = T(x,y * K(u,z)).
T(x,y * z) = T(x,y * (K(u * u,w) * z)).
T(x,y * (K(z * z,u) * w)) = T(x,y * w).
L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w).
x != y * K(y,K(z,u)) | x = T(y,K(u,z)).
T(x,K(y,z \ x)) = T(x,K(y,z)).
T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x.
x != K(y,z \ u) * u | x = u * K(y,u / z).
T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z).
x * y != T(x,K(z,u)) * w | y = K(z,K(x,u)) * w.
K(x,y / z) = K(x,K(y,z)) * K(x,z \ y).
K(x,K(y,z)) * K(x,z \ y) = K(x,y / z).
K(x,K(y,z)) * K(x,y \ z) = K(x,z / y).
(K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)).
(K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)).
K(x,T(y / z,T(u,z))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)).
R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u).
R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)).
x != y / K(z,T(u,w)) | x = y * K(u,T(z,w)).
R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)).
R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)).
x != R(y,z,K(z,u)) | x = y.
K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)).
K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w.
K(x,K(y,z * K(u,w))) != v5 | K(x,K(y,K(w,u) / z)) = v5.
K(x,K(y,L(z / u,u,w))) = K(x,K(z / u,L(y,z,w))).
K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))).
K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))).
K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))).
L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w).
x != L(K(y,K(z,u) * (w \ v5)),w \ v5,w) | x = K(y,(w * K(u,z)) \ v5).
K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w).
K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w).
K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w.
K(x,K(y,z) * u) = K(x,K(z,y) * u).
K(x,K(y,y \ z) * u) = K(x,K(z,y) * u).
K(x,K(y,z) * u) = K(x,K(y \ 1,z) * u).
K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u).
K(x,T(y,z) \ u) = K(x,K(y,z) * (y \ u)).
K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u).
K(x,T(y / z,T(u,z))) = K(x,K(u,z \ y) * (y / z)).
K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))).
K(x,K(y,z) * (z \ u)) = K(x,T(z,y \ z) \ u).
K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)).
K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u).
K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u).
x != K(y,K(z,u) * w) | x = K(y,K(u,z) * w).
K(x,K(y,z) * u) = K(x,K(z \ y,z) * u).
K(x,K(y \ z,y) * u) = K(x,K(z,y) * u).
x != K(y,K(z,u) * (z \ w)) | x = K(y,T(z,u) \ w).
K(x,K(y,z) * (z \ u)) = K(x,T(z,z \ y) \ u).
K(x,T(y,y \ z) \ u) = K(x,K(z,y) * (y \ u)).
K(x / T(y,x),z) = K(T(x,y) / y,z).
K(T(x,y) / y,z) = K(x / T(y,x),z).
K(x \ y,z) = K(y / T(x,y),z).
K(x / T(y,x),z) = K(y \ x,z).
K(T(x,y) / y,z) = K(y \ x,z).
K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u).
K(x,y) = K(x,z \ ((z \ 1) \ y)).
K(x,y \ ((y \ 1) \ z)) = K(x,z).
K(x,K(y,z) * u) = K(x,K((y \ 1) \ z,y) * u).
K(x,K((y \ 1) \ z,y) * u) = K(x,K(y,z) * u).
L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(y,(y \ 1) \ z)) \ w).
K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(u,z)) \ w).
K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z)) \ w).
x != K(y,(z * K(u,(u \ 1) \ w)) \ v5) | x = K(y,(z * K(w,u)) \ v5).
K(x,(y * K(z * u,z)) \ w) = K(x,(y * K(u,z)) \ w).
K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w).
(x * (y * z)) / (z * y) = x * K(y,z).
x != ((y / z) * z) / u | x = y / u.
(x / (y * z)) * K(y,z) = x / (z * y).
K(x,K(x / y,(z * u) \ w)) = K(x,K(u \ (z \ w),L(y,u,z))).
K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)).
K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u).
x * K(x,(y / z) \ 1) = T(x,T((z \ y) \ 1,z)).
T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1).
K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1).
T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1).
T(x,T(y \ 1,z)) = T(x,((z * y) / z) \ 1).
T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)).
T(x,y \ K(y,z)) = T(x,T(y \ 1,z)).
T(x,T(y \ 1,z)) = T(x,y \ K(y,z)).
x != T(y,T(z \ 1,u)) | x = T(y,u \ (z \ u)).
T(x,y \ K(y,z)) = T(x,z \ (y \ z)).
x != T(y,z \ K(z,u)) | x = T(y,u / (u * z)).
T(x,y \ (z \ y)) = T(x,y / (y * z)).
T(x,y / (y * z)) = T(x,y \ (z \ y)).
K(T(x,y),z) != u | K(x,T(z,y)) = u.
K(x,(L(y,z,y) * u) \ w) = K(x,T(u * y,y) \ w).
K(x,(y * z) \ u) = K(x,T(z * y,y) \ u).
K(x,T(y * z,z) \ u) = K(x,(z * y) \ u).
K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u).
K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u).
K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u).
T(x,y * K(z,z * u)) = T(x,y * K(u,z)).
T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)).
T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)).
x != K(y,T(z,u \ 1)) | x = K(y,T(z,u)).
K((x \ 1) * T(y / (x \ 1),z),u) = K((x \ 1) * T((x \ 1) \ y,z),T(u,x)).
K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u).
K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u).
K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u).
x != K(y \ T(y * z,u),T(w,y)) | x = K(y \ T(z * y,u),w).
K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u).
x * (y * z) != y * (K(u \ 1,u) * z) | x = K(w \ 1,w).
K(x \ 1,T(x,y)) = K(z \ 1,z).
K(x \ 1,x) * (y \ z) = z * T(z \ (y \ z),T(y,u)).
x != K(y \ z,y) * (y \ u) | x = ((y \ z) \ z) \ u.
x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x.
T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T(T(z \ (y \ z),T(y,u)),z)).
T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y).
x != T(y,T(T(z \ u,w),z)) | x = T(y,T(u / z,w)).
T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T((y \ z) / z,T(y,u))).
T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z).
x != T(y,(z \ u) / u) | x = T(y,z \ 1).
T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1).
x != T(y,((z \ 1) \ 1) \ u) | x = T(y,z \ u).
T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1).
K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)).
x != K(y \ z,u) * (z / y) | x = T(z / y,T(u,y)).
T(x / y,T((y * z) \ x,y)) = T(x / y,T(z \ (y \ x),y)).
K(x,K(y,z \ y) * u) = K(x,K(z,y) * u).
K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)).
x != K(y,K(z,u \ w) * (w / u)) | x = K(y,T(w / u,T(z,u))).
K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))).
x != L(K(y \ 1,z),u,w) | x = K(L(y,u,w) \ 1,z).
K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u).
(x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1).
K(x,L(y,z,u) \ 1) = K(x,R(y,z,u) \ 1).
K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1).
K(x,T((y * z) / u,u / z) \ 1) = K(x,L((u / z) \ y,u / z,z) \ 1).
K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1).
x != K(y,T(z,u) \ 1) | x = K(y,T(z \ 1,u)).
K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)).
x != K(y,T((z / u) \ 1,w)) | x = K(y,T(u / z,w)).
K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)).
K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),u / y)).
K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))).
x != K(y,((z \ u) * z) \ w) | x = K(y,T(u,z) \ w).
K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))).
K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))).
K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))).
K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u).
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)).
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)).
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)).
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(((x * z) / x) / y,u).
K(x,T(y / (z * u),z)) = K(x,L(z \ (y / u),z,u)).
K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)).
K(x,L(T(y,K(z,u)) \ (w / K(z,u)),T(y,K(z,u)),K(z,u))) = K(x,T(w / (K(z,u) * y),T(y,K(z,u)))).
K(x,(K(y,z) * T(u,K(y,z))) \ T(w,K(y,z))) = K(x,T(w / (K(y,z) * u),T(u,K(y,z)))).
K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(K(z,u) * T(w,K(z,u))) \ T(y,K(z,u))).
K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(w * K(z,u)) \ T(y,K(z,u))).
K(T(x,y \ x) / y,z) = K((x * (y \ x)) / x,T(z,y)).
K((x * (y \ x)) / x,T(z,y)) = K(T(x,y \ x) / y,z).
x != K((y * z) / y,u) | x = K(z,T(u,y)).
K(T(x,y \ x) / y,z) = K(y \ x,T(T(z,y),x)).
x != K(y \ z,T(u,z)) | x = K(z / y,u).
K(T(x,y \ x) / y,z) = K(x / y,T(z,y)).
K(T(x,y \ x) / y,z) = K(y \ x,z).
K(x \ y,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z).
T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y).
T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)).
T(x / y,x / z) = T(x / y,T(z \ x,y)).
T(x / y,T(z \ x,y)) = T(x / y,x / z).
x != T(y / z,T((z * u) \ y,z)) | x = T(y / z,T(u \ (z \ y),z)).
T(x / y,x / (y * z)) = T(x / y,T(z \ (y \ x),y)).
T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)).
K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))).
K(x,T(y / z,y / (((u \ 1) \ 1) \ z))) = K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))).
K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))).
K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))).
K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))).
K(x,T(y / z,u \ 1)) = K(x,T(y / z,y / (u \ z))).
K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)).
K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)).
x != K(y,T(z / u,z / (w \ u))) | x = K(y,T(u,w) \ ((w \ u) * (z / (w \ u)))).
K(x,T(y / z,u)) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))).
K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)).
K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)).
K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)).
K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)).
x != K(y,T(z,u \ z) \ w) | x = K(y,T(z,u) \ w).
K(x,T(y / z,T(z,u) / u)) = K(x,T(z,u) \ (T(u,z) * (y / T(u,z)))).
K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)).
K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)).
K(x,y * T(y \ (z \ y),u)) = K(x,K(z,u) * (z \ y)).
K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)).
K(x,K(y * K(z,y),u) * z) = K(x,(z * y) * T((z * y) \ ((y * K(z,y)) \ (z * y)),u)).
K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y).
K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y).
K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)).
K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)).
K(x,y * (z * T(z \ 1,u))) = K(x,y * K(z,u)).
K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)).
1 / K(x,y * K(z,u)) = K(y * K(z \ 1,u),x).
K(x * K(y,z),u) = K(x * K(y \ 1,z),u).
K(x * K(y \ 1,z),u) = K(x * K(y,z),u).
x != K(y * K((y \ z) \ 1,u),T(w,z)) | x = K(z * T(y / z,u),w).
K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u).
x != K(y * K(y \ z,u),T(w,z)) | x = K(((u * (z \ y)) / u) * z,w).
K(x * T(y / x,z),u) = K(((z * (x \ y)) / z) * x,u).
K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u).
x != K(((y * ((z \ 1) \ (z \ u))) / y) * (z \ 1),w) | x = K(((y * u) / y) / z,w).
K((x \ 1) * T((x \ y) / (x \ 1),z),u) = K(((z * y) / z) / x,u).
K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u).
x != K((y \ 1) * T(z / (y \ 1),u),w) | x = K(y \ T(z * y,u),w).
K(((x * y) / x) / z,u) = K(z \ T((z \ y) * z,x),u).
K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u).
K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u).
K(x \ T(y,z),T(u,x)) = K(((z * y) / z) / x,u).
K(((x * y) / x) / z,u) = K(T(y,x) / z,u).
x != K(((y * z) / y) / T(u,T(z,y)),w) | x = K(T(z * K(y,z),u) / u,w).
K(T(x,y) / T(z,T(x,y)),u) = K(T(x * K(y,x),z) / z,u).
K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u).
x != K(T(y,z) / z,u) | x = K(z \ y,u).
K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u).
x != K(y / T(z,y),u) | x = K(z \ y,u).
K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u).
K(x \ y,z) = K(x \ T(T(y,u),u),z).
K(x \ T(T(y,z),z),u) = K(x \ y,u).
1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)).
K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x).
K(x,y \ T(T(z,u),u)) = K(x,y \ z).
K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)).
K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))).
K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)).
x != K(y,T(z,u) \ (T(u,z) * (w / T(u,z)))) | x = K(y,T(w / z,u \ z)).
K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)).
K(x,y \ T(z,T(u,w))) = K(x,y \ T(z,w \ (u \ w))).
K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))).
K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))).
x != K(y,T(z / u,z / (u * w))) | x = K(y,T(z / u,T(w,u))).
K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1).
K(x,y \ K(y,z)) * z = z * K(x,y \ 1).
L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w).
L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w).
K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w).
K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w).
x != K(y,(z * K(z * u,u \ 1)) \ ((z * u) * (w / (z * u)))) | x = K(y,T(w / z,T(u,z))).
K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
x != K(y,(z * K(u * w,w)) \ v5) | x = K(y,(z * K(u,w)) \ v5).
K(x,T(y / z,T(u,z))) = K(x,(z * K(z,u)) \ ((z * u) * (y / (z * u)))).
K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))).
K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))).
K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))).
K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)).
x != K(y,z \ (u * (w / u))) | x = K(y,z \ T(w,u)).
K(x,T(y / z,u)) = K(x,T(z,u) \ T(y,u * z)).
K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)).
K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)).
x != K(y,((z \ u) \ u) \ w) | x = K(y,T(z,u) \ w).
K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))).
K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)).
x != K(y,T(z * u,u) \ w) | x = K(y,(u * z) \ w).
K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))).
K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))).
x != K(y,T(z,u \ (w \ u))) | x = K(y,T(z,T(w,u))).
K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))).
K(x,(y * K(z \ 1,y * z)) \ T(u,T((y * z) \ y,y * z))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))).
x != K(y,z \ T(u,w \ (v5 \ w))) | x = K(y,z \ T(u,T(v5,w))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))).
x != K(y,(z * K(u \ 1,w)) \ v5) | x = K(y,(z * K(w,u)) \ v5).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))).
x != K(y,T(z,u) \ T(w,T(u,z))) | x = K(y,T(w / z,u \ z)).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)).
K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)).
K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)).
K(x,T(y / z,u * z)) = K(x,T(y / z,u \ z)).
K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)).
K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)).
K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)).
K(x,T(y / z,u)) = K(x,T(y / z,(z / u) * z)).
K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)).
K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)).
K(x,T(y,z * u)) = K(x,T(y,z \ u)).
K(x,T(y,z \ u)) = K(x,T(y,z * u)).
K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))).
x != K(y,T(z / u,u * (w \ u))) | x = K(y,T(z / u,w)).
K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)).
K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)).
K(x,K(y,T(z,u))) = K(z,K(x,y)).
x != K(y,K(z,u)) | x = K(z,K(u,y)).
K(x,K(y,T(z,u))) = K(x,K(y,z)).
K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w.
K(x,K(y,z \ u)) = K(x,K(y,u / z)).
K(x,K(y,z / u)) = K(x,K(y,u \ z)).
x * K(y,K(z,u)) = K(y,K(z,u)) * x.
K(x,K(y,z)) * u = u * K(x,K(y,z)).
T(x,K(y,K(z,u))) = x.
K(x,y) * z != T(u,T(x,y)) * K(x,y) | z = T(u,x).
T(x,T(y,K(z,u))) = T(x,y).
T(x,T(y,K(z,u))) = x * K(x,y).
T(x,T(y,T(z,u))) = T(x,T(y,z)).
K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))).
T(x,T(y,K(z,u))) != w | T(x,y) = w.
T(x,K(y,z) * (u * (z * y))) != w | T(x,u * (y * z)) = w.
T(x,K(y,z) * (u * (y * z))) != w | T(x,u * (z * y)) = w.
T(x,T(y,z * u)) = T(x,T(y,u * z)).
T(x,T((y * z) * u,z * y)) = T(x,u * (y * z)).
T(x,T((y * z) * (z \ u),y * z)) = T(x,(T(z,y) \ u) * (z * y)).
T(x,(T(y,z) \ u) * (y * z)) = T(x,(y \ u) * (z * y)).
K(x,K(y,K(z,u))) = 1.
T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x.
T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w).
((x * (K(y,K(z,u)) * w)) * 1) / (w * K(y,K(z,u))) = L(x,K(y,K(z,u)) * w,K(w,K(y,K(z,u)))).
(x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = L(x,K(y,K(z,u)) * w,K(w,K(y,K(z,u)))).
x != L(y,z * u,K(u,z)) | x = y.
(x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x.
T(x,y) = T(x,K(z,K(u,w)) * y).
T(x,K(y,K(z,u)) * w) = T(x,w).
x * y != T(z,K(u,K(w,v5)) * v6) | x \ T(z,v6) = y.
x \ T(x,y) = K(x,K(z,K(u,w)) * y).
K(x,K(y,K(z,u)) * w) = x \ T(x,w).
T(x,T(y,K(z,u)) * w) = T(x,y * w).
x != K(y,K(y / z,(u * w) \ v5)) | x = K(y,K(w \ (u \ v5),L(z,w,u))).
K(x,K(x / y,z / (u * w))) = K(x,K(w \ (u \ z),L(y,w,u))).
K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))).
x != K(y,K(z,u \ ((u / (w * v5)) * (w * (v5 * v6))))) | x = K(y,K(z,L(L(v6,v5,w),u / (w * v5),w * v5))).
K(x,K(y,((z / (u * w)) * (u * (w * v5))) / z)) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))).
K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)).
K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)).
K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)).
K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)).
x != K(y,K(y / z,u)) | x = K(y,K(z,u)).
K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))).
K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w.
K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))).
K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))).
x != y \ T(y,z) | x = K(y,z).
K(x,K(y,K(z,u)) * w) = K(x,w).
K(x,y \ z) = K(x,T(y,K(u,w)) \ z).
K(x,T(y,K(z,u)) \ w) = K(x,y \ w).
K(x,T(y,K(z,u)) / w) = K(x,y / w).
K(x,T(y,z)) = K(x,(z * K(u,w)) \ T(y * (K(u,w) * z),K(u,w))).
K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)).
K(x,((K(y,z) \ u) * K(y,z)) \ T(w * u,K(y,z))) = K(x,T(w,K(y,z) \ u)).
K(x,T(y,K(z,u) \ w)) = K(x,T(w,K(z,u)) \ T(y * w,K(z,u))).
K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)).
K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)).
x != K(y,T(z,K(u,w)) \ v5) | x = K(y,z \ v5).
K(x,T(y,K(z,u) * w)) = K(x,w \ T(y * w,K(u,z))).
K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)).
x != K(y,z \ T(u * z,w)) | x = K(y,T(z * u,w) / z).
K(x,T(y,K(z,u) * w)) = K(x,T(w * y,K(u,z)) / w).
K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)).
x != K(y,T(z,K(u,w)) / v5) | x = K(y,z / v5).
K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w).
x != K(y,(z * u) / z) | x = K(y,T(u,z)).
K(x,T(y,K(z,u) * w)) = K(x,T(y,w)).
K(x,T(y,z * u)) = K(x,T(y,z * (K(w,v5) * u))).
K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)).
x != K(y,T(z,u)) | x = K(y,z) * K(y,K(z,u)).
K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)).
K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)).
K(x,K(y,z)) = K(x,K(y,z * K(u,w))).
K(x,K(y,z * K(u,w))) = K(x,K(y,z)).
K(x,K(y,K(z,u) / w)) = K(x,K(y,w)).
K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)).
K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))).
K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))).
x != K(y,K(z,u / (w / v5))) | x = K(y,K(z,(v5 / w) * u)).
K(x,K(y,z / u)) = K(x,K(y,((w / u) / w) * z)).
K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)).
K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))).
x != K(y,K(z,(u * (1 / w)) / v5)) | x = K(y,K(z,(w / u) * v5)).
K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)).
x != K(y,K(z,u / ((1 / w) * v5))) | x = K(y,K((u / v5) * w,L(z,u / v5,v5))).
K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w / u,u))).
K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)).
x != K(y,K(z,L(u,w / v5,v5))) | x = K(y,K(z,L(u,w,v5))).
K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w,u))).
K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)).
x != K(y,K(z,L(u,w,v5))) | x = K(y,K(z,L(u,v5,w))).
K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,u,w))).
K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)).
L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))).
L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))).
K(x,K(y / (z \ u),L(w,v5,v6))) != v7 | K(x,K((z / u) * y,L(w,v5,v6))) = v7.
K(x,K(y,K(z,u) / w)) = K(x,K(w,y)).
K(x,K(y,z)) = K(x,K(y * K(u,w),z)).
K(x,K(y * K(z,u),w)) = K(x,K(y,w)).
K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)).
x != K(y,K(T(z,u) / w,L(v5,w,u))) | x = K(y,K(v5,(z * u) / (u * w))).
K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))).
x != K(y,K(z,L(u,w \ v5,w))) | x = K(y,K(z,L(u,v5,w))).
K(x,K(y,(z * u) / (u * (u \ w)))) = K(x,K(z / (u \ w),L(y,w,u))).
K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))).
K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))).
K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)).
x != K(y,K((z / u) * w,L(v5,u,z))) | x = K(y,K(v5,(w / u) * z)).
K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)).
x != K(y,K(z,((u / (w * v5)) * (w * (v5 * v6))) / u)) | x = K(y,K(z,L(L(v6,v5,w),u / (w * v5),w * v5))).
K(x,K(y,((z / (u * w)) / z) * (u * (w * v5)))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))).
K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))).
x != K(y,K(z,((u / w) / u) * v5)) | x = K(y,K(z,v5 / w)).
K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))).
K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))).
x != K(y,K(z,T(u,w))) | x = K(y,K(z,u)).
K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))).
K(x,K(y,L(z,u,w))) = K(x,K(y,L(L(z,u,w),v5,w * u))).
K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))).
x != K(y,K(z,L(L(1 / u,u,w),v5,w * u))) | x = K(y,K(z,L(u,w,v5))).
K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))).
K(x,K(y,1 / z)) = K(x,K(y,L(z,u,w))).
K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)).
K(x,K(y,L(z,u,w))) = K(x,K(y,z)).
(x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))).
L(x,y,K(z,K(u,w))) = x.
a(K(x,K(y,z)),u,w) = 1.
a(K(x,y),z,K(u,w)) = 1.
L(K(x,y),z,K(u,w)) = K(x,y).
x * K(x,y) = T(x,L(y,z,K(u,w))).
T(x,L(y,z,K(u,w))) = x * K(x,y).
a(x,y,z) * K(u,w) = K(u,w) * a(x,y,z).
K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y).
x * y != a(z,u,w) * x | y = a(z,u,T(w,x)).
a(x,y,z) = a(x,y,T(z,K(u,w))).
a(x,y,T(z,K(u,w))) = a(x,y,z).
a(x,y,T(z,T(u,w))) = a(x,y,T(z,u)).
a(x,T(y,z),u) = a(x,T(y,z),T(u,y)).
a(x,T(y,z),T(u,y)) = a(x,T(y,z),u).
x != a(y,z,T(u * z,w)) | x = a(z,T(u,w),T(u,w) * y).
a(x,T(y,z),u * T(y,z)) = a(T(y,z),T(u,y),T(u,y) * x).
a(T(x,y),T(z,x),T(z,x) * u) = a(u,T(x,y),z * T(x,y)).
a(x,T(y,z),u * T(y,z)) = a(y,T(u,y),T(T(u,y) * x,z)).
x != a(y,T(z,y),u) | x = a(y,z,u).
a(x,T(y,z),u * T(y,z)) = a(y,u,T(T(u,y) * x,z)).
x != a(y,z,T(u,w)) | x = T(a(y,z,u),w).
a(x,T(y,z),u * T(y,z)) = T(a(y,u,T(u,y) * x),z).
T(a(x,y,T(y,x) * z),u) = a(z,T(x,u),y * T(x,u)).
x != a(y,z,u * z) | x = a(y,u,z \ u).
a(x,y,T(T(y,x) * z,u)) = a(z,y,T(x,u) \ y).
x != T(a(y,z,u),z * w) | x = a(y,z,T(u,w)).
a(x,T(y,z * u),z * T(y,z * u)) = a(y,z,T(T(z,y) * x,u)).
T(a(x,y,z * y),u) = a(x,T(y,u),z * T(y,u)).
a(x,T(y,z),u * T(y,z)) = T(a(x,y,u * y),z).
a(x,T(y,z),u * T(y,z)) = a(x,y,T(u * y,z)).
x != a(y,T(z,u * w),u * T(z,u * w)) | x = a(z,u,T(T(u,z) * y,w)).
a(x,y,T(z * y,z * u)) = a(y,z,T(T(z,y) * x,u)).
a(x,y,T(T(y,x) * z,u)) = a(z,x,T(y * x,y * u)).
x != a(y,z,T(T(z,y) * u,w)) | x = a(u,z,T(y,w) \ z).
a(x,y,T(z * y,z * u)) = a(x,z,T(y,u) \ z).
x != a(y * z,u,T(y * u,y * w)) | x = a(u,y,T(z,w) * K(y,w)).
a(x * y,x,T(z,u) \ x) = a(z,x,T(y,u) * K(x,u)).
a(x,y,T(z,u) * K(y,u)) = a(z,y,(T(x,u) \ y) * y).
x != a(y,z,(u \ z) * z) | x = a(u,z,y).
a(x,y,T(z,u) * K(y,u)) = a(T(x,u),y,z).
a(x,y,T(z,u) * K(y,u)) = a(x,y,T(z,u)).
a(x,y,T(z * K(y,u),u)) = a(x,y,T(z,u)).
x != a(y,z,T(u * K(z,w),w)) | x = a(y,T(z,w),u).
a(x,y,T(z,u)) = a(x,T(y,u),z).
a(x,T(y,z),u) = a(x,y,T(u,z)).
(x * y) * a(y,z,T(u,w)) = x * L(y,T(z,w),u).
L(x,y,T(z,u)) = L(x,T(y,u),z).
L(x,T(y,z),u) = L(x,y,T(u,z)).
L(x,y * z,u) = L(x,z * y,T(u,z)).
L(x,y * z,T(u,y)) = L(x,z * y,u).
L(x,y * z,T(u,y * y)) = L(x,z * y,T(u,y)).
x != L(y,z,T(u,w)) | x = L(L(y,w,K(z,u)),z,u).
L(x,y * z,T(u,z)) = L(L(x,z * z,K(z * y,u)),z * y,u).
L(L(x,y * y,K(y * z,u)),y * z,u) = L(x,z * y,T(u,y)).
T(x,L(y,z,K(u,w))) = T(x,y).
T(x,y * (K(z,u) * w)) = T(x,(y * K(z,u)) * w).
T(x,(y * K(z,u)) * w) = T(x,y * (K(z,u) * w)).
T(x,(K(y,z) * u) * w) = T(x,T(u,K(y,z)) * (K(y,z) * w)).
T(x,T(y,K(z,u)) * (K(z,u) * w)) = T(x,(K(z,u) * y) * w).
x != T(y,T(z,K(u,w)) * v5) | x = T(y,z * v5).
T(x,(K(y,z) * u) * w) = T(x,u * (K(y,z) * w)).
x * T(x,y * (K(z,u) * (K(z,u) * y))) = T(x * x,K(z,u) * y).
x * T(x,y * (K(z * z,u) * y)) = T(x * x,K(z,u) * y).
x * T(x,y * y) = T(x * x,K(z,u) * y).
T(x * x,K(y,z) * u) = x * T(x,u * u).
x != y * T(y,z * z) | x = T(y * y,z).
T(x * x,K(y,z) * u) = T(x * x,u).
T(x * x,y * (z * u)) = T(x * x,y * (u * z)).
(x * x) * T(x * x,(y * z) * (z * y)) = T((x * x) * (x * x),y * z).
(x * x) * T(x * x,y * (z * (z * y))) = T((x * x) * (x * x),z * y).
x * (x * T(x * x,y * (z * (z * y)))) = T((x * x) * (x * x),z * y).
x * (x * T(x * x,y * (z * (z * y)))) = T(x * (x * (x * x)),z * y).
x != y * (y * T(y * y,z * (u * (u * z)))) | x = T(T(y * (y * (y * y)),z),u).
T(x * (x * (x * x)),y * z) = T(T(x * (x * (x * x)),z),y).
T(T(x * (x * (x * x)),y),z) = T(x * (x * (x * x)),z * y).
T(T(x * (x * (x * x)),T(y,z) \ u),y * z) = T(x * (x * (x * x)),(z * y) * (y \ u)).
T(T(x * (x * (x * x)),L(y \ 1,z,u)),w) = T(x * (x * (x * x)),w / L(y,z,u)).
T(T(x * (x * (x * x)),L(y,z,u) \ w),w \ y) = T(x * (x * (x * x)),a(u,z,T(y,w))).
T(T(T(x,y) * T(x * (x * x),y),z),u) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),u * z).
T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(T(T(x,y) * T(x * (x * x),y),u),z).
T(T(x * (x * (x * x)),y * z),T(y,z) \ u) = T(x * (x * (x * x)),(z * y) * (y \ u)).
x != T(T(y * (y * (y * y)),z),u) | x = T(y * (y * (y * y)),u * z).
T(x * (x * (x * x)),(y * z) * (z \ u)) = T(x * (x * (x * x)),(T(z,y) \ u) * (z * y)).
T(x * (x * (x * x)),(T(y,z) \ u) * (y * z)) = T(x * (x * (x * x)),(z * y) * (y \ u)).
x != T(y,(T(z,u) \ w) * (z * u)) | x = T(y,(z \ w) * (u * z)).
T(x * (x * (x * x)),(y * z) * (z \ u)) = T(x * (x * (x * x)),(z \ u) * (y * z)).
T(x * (x * (x * x)),(y \ z) * (u * y)) = T(x * (x * (x * x)),(u * y) * (y \ z)).
T(x * (x * (x * x)),(y \ z) * ((u / z) * y)) = T(x * (x * (x * x)),L(u,z,y \ 1)).
T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(T(T(x * (x * (x * x)),y),u),z).
T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(T(x * (x * (x * x)),u * y),z).
T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(x * (x * (x * x)),z * (u * y)).
T(T(x,y) * T(x * (x * x),y),z * u) = T(x * (x * (x * x)),z * (u * y)).
T(T(x * (x * (x * x)),y),z * u) = T(x * (x * (x * x)),z * (u * y)).
T(x * (x * (x * x)),y * (z * u)) = T(x * (x * (x * x)),(y * z) * u).
T(x * (x * (x * x)),(y * z) * u) = T(x * (x * (x * x)),y * (z * u)).
x != T(y * (y * (y * y)),(z * u) * (u \ w)) | x = T(y * (y * (y * y)),(u \ w) * (z * u)).
T(x * (x * (x * x)),y * (z * (z \ u))) = T(x * (x * (x * x)),(z \ u) * (y * z)).
T(x * (x * (x * x)),(y \ z) * (u * y)) = T(x * (x * (x * x)),u * (y * (y \ z))).
T(x * (x * (x * x)),(y \ z) * (u * y)) = T(x * (x * (x * x)),u * z).
x != T(y * (y * (y * y)),(z \ u) * ((w / u) * z)) | x = T(y * (y * (y * y)),L(w,u,z \ 1)).
T(x * (x * (x * x)),(y / z) * z) = T(x * (x * (x * x)),L(y,z,u \ 1)).
T(x * (x * (x * x)),L(y,z,u \ 1)) = T(x * (x * (x * x)),(y / z) * z).
T(x * (x * (x * x)),y) = T(x * (x * (x * x)),(z \ y) * z).
T(x * (x * (x * x)),(y \ z) * y) = T(x * (x * (x * x)),z).
x != T(y,(z \ u) * z) | x = T(y,T(u,z)).
T(x * (x * (x * x)),y) = T(x * (x * (x * x)),T(y,z)).
T(x * (x * (x * x)),T(y,z)) = T(x * (x * (x * x)),y).
x != T(y,T(z \ u,u)) | x = T(y,u / z).
T(x * (x * (x * x)),y \ z) = T(x * (x * (x * x)),z / y).
T(x * (x * (x * x)),y / z) = T(x * (x * (x * x)),z \ y).
T(x * (x * (x * x)),L(y,z,u \ 1)) = T(x * (x * (x * x)),y).
T(x * (x * (x * x)),L(y,z,u)) = T(x * (x * (x * x)),y).
T(T(x * (x * (x * x)),y \ 1),z) = T(x * (x * (x * x)),z / L(y,u,w)).
T(x * (x * (x * x)),y / L(z,u,w)) = T(T(x * (x * (x * x)),z \ 1),y).
T(x * (x * (x * x)),y / L(z,u,w)) = T(x * (x * (x * x)),y * (z \ 1)).
x != T(y,z * (u \ 1)) | x = T(y,z / u).
T(x * (x * (x * x)),y / L(z,u,w)) = T(x * (x * (x * x)),y / z).
x != T(y * (y * (y * y)),z / u) | x = T(y * (y * (y * y)),u \ z).
T(x * (x * (x * x)),y / L(z,u,w)) = T(x * (x * (x * x)),z \ y).
T(x * (x * (x * x)),y \ z) = T(x * (x * (x * x)),L(y,u,w) \ z).
T(x * (x * (x * x)),L(y,z,u) \ w) = T(x * (x * (x * x)),y \ w).
T(T(x * (x * (x * x)),y \ z),z \ y) = T(x * (x * (x * x)),a(u,w,T(y,z))).
x != T(T(y,z \ u),u \ z) | x = y.
T(x * (x * (x * x)),a(y,z,T(u,w))) = x * (x * (x * x)).
L(x * (x * (x * x)),y,K(z,T(u,w))) = x * (x * (x * x)).
L(x * (x * (x * x)),y,K(z,u)) = x * (x * (x * x)).
(x * (y * (y * (y * y)))) / (y * y) = x * L(y * y,z,K(u,w)).
x != (y * (z * (z * u))) / u | x = (y * u) * ((u \ z) * z).
x * L(y * y,z,K(u,w)) = (x * (y * y)) * (((y * y) \ y) * y).
(x * (y * y)) * (((y * y) \ y) * y) = x * L(y * y,z,K(u,w)).
(x * (y * y)) * ((y \ 1) * y) = x * L(y * y,z,K(u,w)).
(x * (y * y)) * T(1,y) = x * L(y * y,z,K(u,w)).
(x * (y * y)) * 1 = x * L(y * y,z,K(u,w)).
x * L(y * y,z,K(u,w)) = (x * (y * y)) * 1.
x * L(y * y,z,K(u,w)) = x * (y * y).
x * L(y,z,K(u,w)) != L(u,y,K(z,w)) * y | x = u.
L(x,y * y,K(z,u)) = x.
L(x,y * z,u) = L(x,z * y,T(u,y)).
L(x,y * z,T(u,z)) = L(x,z * y,u).
x != L(y / (z * T(u,w)),z,T(u \ 1,w)) | x = (y / T(u,w)) / z.
L(x / ((y * z) * T(u,z)),z * y,u \ 1) = (x / T(u,z)) / (y * z).
x * ((y * z) * ((u / T(x,y)) / (z * y))) = (x * (y * z)) * (u / ((z * y) * T(x,y))).
(x * (y * z)) * (u / ((z * y) * T(x,y))) = x * ((y * z) * ((u / T(x,y)) / (z * y))).
(x * (y * z)) * (u / ((z * y) * T(x,y))) = x * (y * (z * (((u / T(x,y)) / y) / z))).
x != y * (z * (u * (((w / T(y,z)) / z) / u))) | x = T(u * w,z \ (y \ 1)) / u.
(x * (y * z)) * (u / ((z * y) * T(x,y))) = T(z * u,y \ (x \ 1)) / z.
x * y != (z * (u * w)) * (v5 / ((w * u) * T(z,u))) | (T(w * v5,u \ (z \ 1)) / w) / y = x.
(T(x * y,z \ (u \ 1)) / x) / ((y / ((x * z) * T(u,z))) * (u * (z * x))) = K(u * (z * x),y / ((x * z) * T(u,z))).
(T(x * y,z \ (u \ 1)) / x) / (y * K(u * z,x)) = K(u * (z * x),y / ((x * z) * T(u,z))).
K(x * (y * z),u / ((z * y) * T(x,y))) = (T(z * u,y \ (x \ 1)) / z) / (u * K(x * y,z)).
K(x * (y * z),u / ((z * y) * T(x,y))) = (T(z * u,y \ (x \ 1)) / z) * (K(z,x * y) / u).
x != K(y * (z * u),w / ((u * z) * T(y,z))) | x = K(y * (z * u),w).
(T(x * y,z \ (u \ 1)) / x) * (K(x,u * z) / y) = K(u * (z * x),y).
x != (T(y * z,u \ (w \ 1)) / y) * (K(y,w * u) / z) | x = K((w * u) * y,z).
K(x * (y * z),u) = K((x * y) * z,u).
K((x * y) * z,u) = K(x * (y * z),u).
K(x,y * (z * u)) * K((y * z) * u,x) = 1.
x != K(y,z * (u * w)) * K((z * u) * w,y) | x = a(z,y,K(u,w)).
1 = a(x,y,K(z,u)).
a(x,y,K(z,u)) = 1.

end_of_list.
