% ********************************************************************
% AIM:  UFlex => AAIP
%
% Extra assumption:
%
%    (((x / u) * (v \ y)) / u) * (v \ x)
%        = (x / u) * (v \ ((y / u) * (v \ x))) # label("UFlex").
%
% Goal:
%
%    (1 / x) * (1 / y) = 1 / (y * x) # label("AAIP").
% ********************************************************************

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

clear(back_demod).
set(restrict_denials).

set(para_from_small).
clear(cac_redundancy).

assign(max_weight,5).

formulas(assumptions).

   % loop axioms
   1 * x = x.
   x * 1 = x.
   x \ (x * y) = y.
   x * (x \ y) = y.
   (x * y) / y = x.
   (x / y) * y = x.

   % associator (right associated * a = left associated)
   (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator").

   % commutator ( (x * y) * K(y,x) = y * x )
   (x * y) \ (y * x) = K(y,x) # label("commutator").

   % inner mappings
   
   % L(u,x,y) = u L(x) L(y) L(yx)^{-1}
   (y * x) \ (y * (x * u)) = L(u,x,y).

   % R(u,x,y) = u R(x) R(y) R(xy)^{-1}
   ((u * x) * y) / (x * y) = R(u,x,y).

   % T(u,x) = u R(x) L(x)^{-1}
   x \ (u * x) = T(u,x).

   % abelian inner mapping group
   T(T(u,x),y) = T(T(u,y),x).
   T(L(u,x,y),z) = L(T(u,z),x,y).
   T(R(u,x,y),z) = R(T(u,z),x,y).
   L(R(u,x,y),z,w) = R(L(u,z,w),x,y).
   L(L(u,x,y),z,w) = L(L(u,z,w),x,y).
   R(R(u,x,y),z,w) = R(R(u,z,w),x,y).

   % extra assumption for this special case
   (((x / u) * (v \ y)) / u) * (v \ x)
      = (x / u) * (v \ ((y / u) * (v \ x))) # label("UFlex").

end_of_list.

formulas(goals).

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

end_of_list.

% *********************
% AIM: Auxiliary Lemmas
% *********************

formulas(assumptions).

   % cancellation laws (long form)

   x * y != u | x * z != u | y = z # label("*-Cancellation 1").
   y * x != u | z * x != u | y = z # label("*-Cancellation 2").

   x / y != u | x / z != u | y = z # label("/-Cancellation 1").
   y / x != u | z / x != u | y = z # label("/-Cancellation 2").

   x \ y != u | x \ z != u | y = z # label("\-Cancellation 1").
   y \ x != u | z \ x != u | y = z # label("\-Cancellation 2").

   T(x,y) != u | T(z,y) != u | x = z # label("T-Cancellation 1").
   L(z,x,y) != u | L(w,x,y) != u | z = w # label("L-Cancellation 1").
   R(z,x,y) != u | R(w,x,y) != u | z = w # label("R-Cancellation 1").

   % cancellation laws (short form)

   x * y != x * z | y = z # label("*-Cancellation 3").
   y * x != z * x | y = z # label("*-Cancellation 4").

   x / y != x / z | y = z # label("/-Cancellation 3").
   y / x != z / x | y = z # label("/-Cancellation 4").

   x \ y != x \ z | y = z # label("\-Cancellation 3").
   y \ x != z \ x | y = z # label("\-Cancellation 4").

   T(x,y) != T(z,y) | x = z # label("T-Cancellation 2").
   L(z,x,y) != L(w,x,y) | z = w # label("L-Cancellation 2").
   R(z,x,y) != R(w,x,y) | z = w # label("R-Cancellation 2").

  % compatibility

   a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1").
   L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2").
   T(x,y) != x | T(y,x) = y # label("Compat 3").
   T(x,y) != x | K(x,y) = 1 # label("Compat 4").
   K(x,y) != 1 | T(x,y) = x # label("Compat 5").

   % sometimes helpful for demodulation-free proofs

   x != y | x * z = y * z # label("Aux 1").
   x != y | z * x = z * y # label("Aux 2").
   x != y | x / z = y / z # label("Aux 3").
   x != y | z / x = z / y # label("Aux 4").
   x != y | x \ z = y \ z # label("Aux 5").
   x != y | z \ x = z \ y # label("Aux 6").

   x != y | y != z | x = z # label("Transitivity =").

end_of_list.

%
% Hints extracted from previously found proofs.
%

formulas(hints).

(1 / x) * (1 / y) = 1 / (y * x).
1 * x = x.
x * 1 = x.
x \ (x * y) = y.
x * (x \ y) = y.
(x * y) / y = x.
(x / y) * y = x.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
a(x,y,z) = (x * (y * z)) \ ((x * y) * z).
(x * y) \ (y * x) = K(y,x).
K(x,y) = (y * x) \ (x * y).
(x * y) \ (x * (y * z)) = L(z,y,x).
L(x,y,z) = (z * y) \ (z * (y * x)).
((x * y) * z) / (y * z) = R(x,y,z).
R(x,y,z) = ((x * y) * z) / (y * z).
x \ (y * x) = T(y,x).
T(x,y) = y \ (x * y).
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
L(T(x,y),z,u) = T(L(x,z,u),y).
T(R(x,y,z),u) = R(T(x,u),y,z).
R(T(x,y),z,u) = T(R(x,z,u),y).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
(((x / y) * (z \ u)) / y) * (z \ x) = (x / y) * (z \ ((u / y) * (z \ x))).
x * y != z | x * u != z | y = u.
x * y != z | u * y != z | x = u.
x / y != z | x / u != z | y = u.
x / y != z | u / y != z | x = u.
x \ y != z | x \ u != z | y = u.
x \ y != z | u \ y != z | x = u.
T(x,y) != z | T(u,y) != z | x = u.
L(x,y,z) != u | L(w,y,z) != u | x = w.
R(x,y,z) != u | R(w,y,z) != u | x = w.
x * y != x * z | y = z.
x * y != z * y | x = z.
x / y != x / z | y = z.
x / y != z / y | x = z.
x \ y != x \ z | y = z.
x \ y != z \ y | x = z.
T(x,y) != T(z,y) | x = z.
L(x,y,z) != L(u,y,z) | x = u.
R(x,y,z) != R(u,y,z) | x = u.
a(x,y,z) != 1 | L(z,y,x) = z.
L(x,y,z) != x | a(z,y,x) = 1.
T(x,y) != x | T(y,x) = y.
T(x,y) != x | K(x,y) = 1.
K(x,y) != 1 | T(x,y) = x.
x != y | x * z = y * z.
x != y | z * x = z * y.
x != y | x / z = y / z.
x != y | x \ z = y \ z.
x != y | y != z | x = z.
1 / (c2 * c1) != (1 / c1) * (1 / c2).
(1 / c1) * (1 / c2) != 1 / (c2 * c1).
1 \ x = x.
x \ x = 1.
x \ (x * (y \ (y * z))) = z.
x * (y * (y \ 1)) = x.
x * (y \ (y * (x \ z))) = z.
x / x = 1.
x / 1 = x.
x / (y \ x) = y.
((1 / x) * x) * y = y.
(x / y) \ x = y.
(x * (y * z)) * a(x,y,z) = (x * y) * z.
(x * y) * K(y,x) = y * x.
K(x \ y,x) = y \ ((x \ y) * x).
x \ ((y \ x) * y) = K(y \ x,y).
(x * y) * L(z,y,x) = x * (y * z).
L(x \ y,x,z) = (z * x) \ (z * y).
L(x,y / x,z) = (z * (y / x)) \ (z * y).
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
R(x,y,y \ z) = ((x * y) * (y \ z)) / z.
((x * y) * (y \ z)) / z = R(x,y,y \ z).
R(x,y,z) * (y * z) = (x * y) * z.
R(x / y,y,z) = (x * z) / (y * z).
T(x,1) = 1 \ x.
T(x,x) = x.
x * T(y,x) = y * x.
T(x,x \ y) = (x \ y) \ y.
T(x / y,y) = y \ x.
T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y).
T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u).
x != y | 1 * z != y | x = z.
1 * x != y | z != y | x = z.
x != y | x * z != y | 1 = z.
1 * x != y | x = y.
x != y * z | y \ x = z.
x * y != z | x \ z = y.
x * 1 != y | x = y.
x != y * z | x / z = y.
x * y != z | z / y = x.
x != y / z | x * z = y.
x / y != z | z * y = x.
x != y \ z | y * x = z.
x \ y != z | x * z = y.
T(x,y) != y \ z | x * y = z.
L(T(x,y),z,u) != T(w,y) | L(x,z,u) = w.
T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x.
R(T(x,y),z,u) != T(w,y) | R(x,z,u) = w.
T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x.
T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w.
L(R(x,y,z),u,w) != R(v5,y,z) | L(x,u,w) = v5.
R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x.
((x / y) * y) * z = x * z.
x * (y * (y \ z)) = x * z.
((x / y) * y) / z = x / z.
(x * (x \ y)) \ z = y \ z.
x != y | (x * z) / z = y.
(x * y) / y = 1 * x.
x != y | z * (z \ x) = y.
x * (x \ y) = z \ (z * y).
x \ (x * y) = z * (z \ y).
x * (x \ y) = y * 1.
x != y | 1 \ x = y.
1 \ x = y \ (y * x).
x \ (x * y) = 1 \ y.
((1 / x) * x) \ y = y.
1 \ x != y | x = y.
x * (y \ y) = x.
x * (y / y) = x.
x / ((1 / y) * y) = x.
((x * (y \ z)) / 1) * (y \ x) = (x / 1) * (y \ ((z / 1) * (y \ x))).
(x / 1) * (y \ ((z / 1) * (y \ x))) = ((x * (y \ z)) / 1) * (y \ x).
x / 1 != y | x = y.
R(x,y,z) != T(R(u,y,z),w) | T(u,w) = x.
T(x,R(x,y,z)) = x.
L(x,y,z) != T(L(u,y,z),w) | T(u,w) = x.
T(x,L(x,y,z)) = x.
T(x,y) != T(T(z,y),u) | T(z,u) = x.
T(x,T(x,y)) = x.
T(x,y) = T(T(x,y),x).
T(T(x,y),x) = T(x,y).
R(x,y,z) = T(R(x,y,z),x).
T(R(x,y,z),x) = R(x,y,z).
(x / (y \ x)) * z = y * z.
((x * y) * z) / u != R(x,y,z) | y * z = u.
x * y = R(z,x,y) \ ((z * x) * y).
R(x,y,z) \ ((x * y) * z) = y * z.
(x * (y * z)) / L(z,y,x) = x * y.
(x * y) / T(x,y) = y.
x != y / z | x \ y = z.
x / y != z | z \ x = y.
x / (y / ((z \ x) \ y)) = z.
((x / y) \ x) * z = y * z.
((x / (y / z)) \ x) * z = y.
x != y \ z | z / x = y.
x \ y != z | y / z = x.
1 \ x != y | T(x,1) = y.
T(x,1) = x.
T(x,y * (y \ 1)) = x.
x * (y \ y) != z | x = z.
x * (y * (y \ 1)) != z | x = z.
x != y | x * (z * (z \ 1)) = y.
x * (y * (y \ 1)) = z * (z \ x).
x * (x \ y) = y * (z * (z \ 1)).
L(x \ 1,x,y) = (y * x) \ y.
x * y != z | y * T(x,y) = z.
x * T(y / x,x) = y.
(x \ y) * T(x,x \ y) = y.
(x * T(y,x)) * z = (y * x) * z.
x * y != ((x * z) / u) * u | z = y.
x = T((y * x) / y,y).
T((x * y) / x,x) = y.
(x * T(y,x)) / x = y.
L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
L(T(x,y),y,z) = (z * y) \ (z * (x * y)).
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
R(x,y,T(z,y)) = ((x * y) * T(z,y)) / (z * y).
((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)).
x * T(T(y,x),z) = T(y,z) * x.
x * L(T(y,x),z,u) = L(y,z,u) * x.
x * R(T(y,x),z,u) = R(y,z,u) * x.
x * y != y * z | T(x,y) = z.
x * y != z * x | T(z,x) = y.
R(x \ y,z,u) = T(R(y / x,z,u),x).
T(R(x / y,z,u),y) = R(y \ x,z,u).
x \ y != T(z,x) | y / x = z.
T(x,y) != y \ z | z / y = x.
(x * y) / y != z | x = z.
x \ (y * (y \ x)) = 1.
x \ (x * y) != z | y = z.
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
L(x,y,1 / y) = (1 / y) * (y * x).
(1 / x) * (x * y) = L(y,x,1 / x).
((x * y) * z) / (y * z) != u | R(x,y,z) = u.
R(x,1 / y,y) = (x * (1 / y)) * y.
(x * (1 / y)) * y = R(x,1 / y,y).
K(T(x,y),x) = 1.
x / T(y,y \ x) = y \ x.
T(x,y) = (z * T(T(x,z),y)) / z.
(x * T(T(y,x),z)) / x = T(y,z).
T(x,y) = T(T((z * x) / z,y),z).
T(T((x * y) / x,z),x) = T(y,z).
x != T(y,z) | (z * x) / z = y.
T(x,y) != z | (y * z) / y = x.
K(x,(y * x) / y) = 1.
T(x,(y * x) / y) = x.
x / (y \ x) != z | y = z.
x \ (y * x) != z | T(y,x) = z.
x * K(y \ x,y) = (y \ x) * y.
T(x * y,K(y,x)) = K(y,x) \ (y * x).
(x * y) \ (y * x) != z | K(y,x) = z.
T(R(x,y,z),u) != w | R(T(x,u),y,z) = w.
R(T(x,R(x,y,z) \ u),y,z) = (R(x,y,z) \ u) \ u.
T(x / y,(x / y) \ x) = y \ x.
x != y | z != y | x = z.
x != y | (y / z) * z = x.
((x * y) / z) * z = ((x / u) * u) * y.
x != y | z * (z \ y) = x.
x * (x \ (y * z)) = y * (u * (u \ z)).
x * (x \ y) != z \ u | z * y = u.
x \ y != z * (z \ u) | x * u = y.
x != (y * (y \ z)) \ u | z \ u = x.
x \ y = L((y \ x) \ 1,y \ x,y).
L((x \ y) \ 1,x \ y,x) = y \ x.
x / L(y \ 1,y,x) = x * y.
(x * y) * L(y \ 1,y,x) = x.
L(x \ 1,x,y / x) = y \ (y / x).
L(T(x \ 1,y),x,z) = T((z * x) \ z,y).
T((x * y) \ x,z) = L(T(y \ 1,z),y,x).
L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x).
L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z).
T(x * y,L(y \ 1,y,x)) = ((x * y) \ x) \ x.
T(x,y) \ (x * y) != z | T(y,T(x,y)) = z.
x / L(y,1 / y,x) = x * (1 / y).
(x * y) \ x != z | L(y \ 1,y,x) = z.
(x \ 1) * x = K(x \ 1,x).
K(x \ 1,x) = (x \ 1) * x.
(x * y) \ ((x \ (x * y)) * x) = K(y,x).
K(x,y) = (y * x) \ ((y \ (y * x)) * y).
x * (y * (y \ 1)) != z * u | z \ x = u.
(x * R(T(y,x),z,u)) * w = (R(y,z,u) * x) * w.
x * T(x \ y,z) = T(y / x,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
x * T(y,z) = T((x * y) / x,z) * x.
T((x * y) / x,z) * x = x * T(y,z).
(x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y).
(x * T(y,z)) / x = T((x * y) / x,z).
T((x * y) / x,z) = (x * T(y,z)) / x.
K(x \ y,x) \ ((x \ y) * x) != z | T(y,K(x \ y,x)) = z.
((x / y) * y) * z != u | x * z = u.
x * L(y,z,x / z) = (x / z) * (z * y).
x \ ((x * y) * L(z,y,x)) = y * z.
x * L(y,z \ x,z) = z * ((z \ x) * y).
L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))).
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
(x * y) * T(L(z,y,x),u) = x * (y * T(z,u)).
(x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)).
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
x * (y * z) != (x * y) * u | L(z,y,x) = u.
(x * y) * z != x * (y * u) | L(u,y,x) = z.
x != y \ (z * y) | T(z,y) = x.
T(x,x * y) = L(y \ (x * y),y,x).
L(x \ (y * x),x,y) = T(y,y * x).
x \ (y * z) = L((y \ x) \ z,y \ x,y).
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(x \ (y \ z),x,y) = (y * x) \ z.
L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u).
R(x,y,y \ 1) = (x * y) * (y \ 1).
(x * y) * (y \ 1) = R(x,y,y \ 1).
x * (y * (y \ z)) != u | x * z = u.
R(x,y,y \ z) * z = (x * y) * (y \ z).
x * y != z * (u * (u \ 1)) | x \ z = y.
(x * y) \ R(x,y,y \ 1) = y \ 1.
R(x,y / z,z) * y = (x * (y / z)) * z.
T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z.
L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z.
R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z.
(x * y) * z != u * (y * z) | R(x,y,z) = u.
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z).
x != y / ((1 / z) * z) | y = x.
x * y = R(x / (1 / y),1 / y,y).
R(x / (1 / y),1 / y,y) = x * y.
x != ((y / z) * z) / u | y / u = x.
x / (y * z) = R((x / z) / y,y,z).
R((x / y) / z,z,y) = x / (z * y).
R(x / y,y,z) \ (x * z) = y * z.
R(x / y,y,x \ z) = z / (y * (x \ z)).
R(x / (y / z),y / z,z) = (x * z) / y.
T(R(x / y,y,z),y * z) = (y * z) \ (x * z).
R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)).
R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u).
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u.
(x * y) / L(z,y / z,x) = x * (y / z).
(1 / x) * (y * x) = L(T(y,x),x,1 / x).
L(T(x,y),y,1 / y) = (1 / y) * (x * y).
R(x,1 / y,y) / y = x * (1 / y).
x \ (y * (x / y)) != z | K(y,x / y) = z.
L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y).
T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y).
x \ (y * L(z,x \ y,x)) = (x \ y) * z.
L(T(x,y),y,x) = T(x,x * y).
L(T(x,y),z,u) != w | T(L(x,z,u),y) = w.
T(L(x,y,x),y) = T(x,x * y).
(x * T(y,y * x)) / x = L(y,x,y).
R(x,y,y \ 1) / (y \ 1) = x * y.
x * (y \ 1) = R(x / y,y,y \ 1).
R(x / y,y,y \ 1) = x * (y \ 1).
R(T(x / (1 / y),z),1 / y,y) = T(x * y,z).
R(x / y,y,x \ z) \ z = y * (x \ z).
R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y).
x * L(x \ (y * x),z,u) = L(y,z,u) * x.
x * L(x \ y,z,u) = L(y / x,z,u) * x.
L(x / y,z,u) * y = y * L(y \ x,z,u).
x * L(y,z,u) = L((x * y) / x,z,u) * x.
L((x * y) / x,z,u) * x = x * L(y,z,u).
(x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y).
x != R(y,z,u) * (z * u) | (y * z) * u = x.
(x * y) * z = (y * z) * R(T(x,y * z),y,z).
(x * y) * R(T(z,x * y),x,y) = (z * x) * y.
x * R(x \ y,z,u) = R(y / x,z,u) * x.
R(x / y,z,u) * y = y * R(y \ x,z,u).
x * R(y,z,u) = R((x * y) / x,z,u) * x.
R((x * y) / x,z,u) * x = x * R(y,z,u).
T((x * y) / (z * y),z) = R(z \ x,z,y).
((x / y) * y) * z != u * w | (x * z) / w = u.
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
x * (y \ (y * z)) != u | x * z = u.
x != y \ ((z \ y) * z) | K(z \ y,z) = x.
K(x \ (x * y),x) = K(y,x).
K(x,y) = K(z \ (z * x),y).
K(x \ (x * y),z) = K(y,z).
K((x / y) \ x,z) = K(y,z).
K((x * y) \ x,z) = K(L(y \ 1,y,x),z).
K(L(x \ 1,x,y),z) = K((y * x) \ y,z).
x * ((y * T(z,x)) / y) = ((y * z) / y) * x.
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
R(x,x \ y,y \ z) = z / ((x \ y) * (y \ z)).
R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z.
(x \ y) / y = R(1 / x,x,x \ y).
R(1 / x,x,x \ y) = (x \ y) / y.
R(T(1 / x,y),x,x \ z) = T((x \ z) / z,y).
T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y).
T(1 / x,y) = L(T(x \ 1,y),x,1 / x).
L(T(x \ 1,y),x,1 / x) = T(1 / x,y).
(x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)).
x * T(L(y,z,x / z),u) = (x / z) * (z * T(y,u)).
L(x,y \ 1,y) = y * ((y \ 1) * x).
x * ((x \ 1) * y) = L(y,x \ 1,x).
x != y * ((y \ 1) * z) | L(z,y \ 1,y) = x.
L((x \ 1) \ y,x \ 1,x) = x * y.
x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u.
x \ L(y,x \ 1,x) = (x \ 1) * y.
a(x,x \ 1,y) = L(y,x \ 1,x) \ ((x * (x \ 1)) * y).
L(x,y \ 1,y) \ ((y * (y \ 1)) * x) = a(y,y \ 1,x).
L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z).
R(x * y,z,u) = L(R((x \ 1) \ y,z,u),x \ 1,x).
L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u).
x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u).
(x \ 1) * y != x \ z | L(y,x \ 1,x) = z.
x \ y != (x \ 1) * z | L(z,x \ 1,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) \ (z * y) | K(z,y) = x.
K(x,y) = L(x \ T(x,y),x,y).
L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z.
R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u).
(x \ y) * z != u \ (y * z) | R(x,x \ y,z) = u.
x \ (y * z) != (u \ y) * z | R(u,u \ y,z) = x.
x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z).
x / (y * (z \ x)) != u | R(z / y,y,z \ x) = u.
T(((x * y) * z) / (x * z),x) = R(y,x,z).
R(x,y,z) = T(((y * x) * z) / (y * z),y).
x != T(y / z,z) | z \ y = x.
x \ 1 = L(T(x \ 1,x),x,1 / x).
L(T(x \ 1,x),x,1 / x) = x \ 1.
L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z.
(1 / x) * ((x \ 1) * x) = x \ 1.
T(R(x,y,x),y * x) = T(x,y).
x != T(R(y,z,u),w) | R(T(y,w),z,u) = x.
R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y).
(x * (y \ z)) * T(y,y \ z) != u * z | R(x,y \ z,T(y,y \ z)) = u.
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
(x * L(y,z,u)) / x = L((x * y) / x,z,u).
L((x * y) / x,z,u) = (x * L(y,z,u)) / x.
(x * R(y,z,u)) / x = R((x * y) / x,z,u).
R((x * y) / x,z,u) = (x * R(y,z,u)) / x.
R(x,y,z) * (y * z) != u | (x * y) * z = u.
((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y).
x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x.
((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x).
R(T(x \ y,z),u,w) = T(T(R(y / x,u,w),z),x).
T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u).
(x * K(x,y)) / x = L(T(x,y) / x,x,y).
L(T(x,y) / x,x,y) = (x * K(x,y)) / x.
(x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)).
L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y).
L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x.
L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x.
((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u.
R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x.
(x * T(y,z)) / x != u | T((x * y) / x,z) = u.
T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)).
T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z).
(x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)).
(x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)).
(x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)).
T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y).
T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y.
R(T(x / y,y * z),y,z) = (y * z) \ (x * z).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y).
((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x).
x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)).
(x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z).
T(x * y,z) / y = T(x / (1 / y),z) * (1 / y).
T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y.
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y).
x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y).
(x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y).
R(T(x / y,z),y,y \ z) = (y * (y \ z)) \ (x * (y \ z)).
(x * (x \ y)) \ (z * (x \ y)) = R(T(z / x,y),x,x \ y).
T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y).
R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x).
T(x / y,z) * y != u | y * T(y \ x,z) = u.
(1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x.
T(1 / (1 / x),y) * (1 / x) = T(x,y) / x.
(1 / x) * T((1 / x) \ 1,y) = T(x,y) / x.
(x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y).
(x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z).
x != (y * z) \ ((y \ (y * z)) * y) | K(z,y) = x.
K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y).
K(x \ y,x) = (y \ x) * T((y \ x) \ 1,x).
(x \ y) * T((x \ y) \ 1,y) = K(y \ x,y).
(x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
(x * T(y,x)) * z != u | (y * x) * z = u.
(x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)).
(x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y.
R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y.
R(x * y,z,u) / y = R(x / (1 / y),z,u) * (1 / y).
R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y.
x \ R(x * y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u).
(x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u).
x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u).
(x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u).
x * 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).
T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y.
(T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y.
R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y).
T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y).
L(x,y \ 1,y) \ (1 * x) = a(y,y \ 1,x).
L(x,y \ 1,y) \ x = a(y,y \ 1,x).
x * T(x \ (x / y),z) != (x / y) * u | y * T(y \ 1,z) = u.
(x / y) * z != x * T(x \ (x / y),u) | y * T(y \ 1,u) = z.
x * T(x \ (y \ x),z) = (T(1 / y,z) * y) * (y \ x).
(T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y).
R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w.
(1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x.
(x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z).
(x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z).
(x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y).
(x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y).
x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w).
x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w).
L((x * y) / z,u,w) * z = (L(x / (z / y),u,w) * (z / y)) * y.
(L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y.
(x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)).
(x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)).
(x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)).
L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u.
x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)).
(x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z).
((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z).
((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z.
T(R(x,y,T(x,y)),z) * (x * y) != u | (x * y) * T(T(x,y),z) = u.
(x * y) * T(T(x,y),z) = (T(x,z) * y) * T(x,y).
(T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y).
(x * (x \ y)) \ z != u | y \ z = u.
x \ (y * (z \ x)) = R(T(y / z,x),z,z \ x).
R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)).
(x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)).
T((x * y) / x,z) * x != u | x * T(y,z) = u.
(x * y) * T(y,z) = (T((x * y) / x,z) * x) * y.
(T((x * y) / x,z) * x) * y = (x * y) * T(y,z).
(x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y.
(x * T(y,z)) * y = (x * y) * T(y,z).
x != ((y / z) * z) * u | y * u = x.
x * T(y,z) = ((x / y) * T(y,z)) * y.
((x / y) * T(y,z)) * y = x * T(y,z).
x * y != ((z / u) * u) * w | (z * w) / y = x.
(x * T(y,z)) / y = (x / y) * T(y,z).
(x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y).
(x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z).
((x / y) * y) / z != u | x / z = u.
x / y = ((x / T(y,z)) / y) * T(y,z).
((x / T(y,z)) / y) * T(y,z) = x / y.
(x * y) / x = (y / x) * T(x,y).
(x / y) * T(y,x) = (y * x) / y.
(x / (y \ x)) * z != u | y * z = u.
x * T(x \ y,y) = ((x \ y) * y) / (x \ y).
((x \ y) * y) / (x \ y) = x * T(x \ y,y).
T(x,y * T(y \ x,x)) = x.
T(x,x * (y * T(y \ 1,x))) = x.
T(x,x * K(y,x)) = x.
(x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z).
(x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y).
(x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z.
(x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z).
(x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,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 != T(y / z,u) * z | z * T(z \ y,u) = x.
x * T(x \ (y * z),u) = (T(y / (x / z),u) * (x / z)) * z.
(T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u).
(T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x.
x * T(x \ y,z) = (T(1 / (x / y),z) * (x / y)) * y.
(T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z).
((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z).
(x * 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 * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y.
((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u.
(1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x.
(1 / x) * ((y * x) / y) = ((y * x) / y) / x.
x * ((y * (x \ 1)) / y) = ((y * (x \ 1)) / y) / (x \ 1).
((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x).
(x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y.
(x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y.
(x * ((y * z) / y)) * z = (x * z) * ((y * z) / y).
(x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z).
(x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w.
x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y.
(x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y.
x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y.
x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y.
(x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y).
(x / y) * T((x / y) \ z,u) = (x * T(x \ (z * y),u)) / y.
(x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u).
x * (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)) * x) / z = (x / z) * T((x / z) \ y,x).
(x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y.
((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)).
x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y.
(x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)).
(x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y.
x * (y * T(y \ (x \ z),u)) != w | (x * y) * T((x * y) \ z,u) = w.
(x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y.
x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)).
x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z).
(x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)).
(x / 1) * (y \ ((z / 1) * (y \ x))) = (x * (y \ z)) * (y \ x).
x * (y \ ((z / 1) * (y \ x))) = (x * (y \ z)) * (y \ x).
x * (y \ (z * (y \ x))) = (x * (y \ z)) * (y \ x).
(x * (y \ z)) * (y \ x) = x * (y \ (z * (y \ x))).
x != 1 * y | y = x.
x \ (y * (x \ 1)) = (1 * (x \ y)) * (x \ 1).
(1 * (x \ y)) * (x \ 1) = x \ (y * (x \ 1)).
(x * y) * (1 \ x) = x * (1 \ (y * (1 \ x))).
x * (1 \ (y * (1 \ x))) = (x * y) * (1 \ x).
(x \ y) * (x \ 1) = x \ (y * (x \ 1)).
x \ (y * (x \ 1)) = (x \ y) * (x \ 1).
x \ y = (x \ (y / (x \ 1))) * (x \ 1).
(x \ (y / (x \ 1))) * (x \ 1) = x \ y.
x * (1 \ (y * (1 \ x))) = (x * y) * x.
x * (1 \ (y * x)) = (x * y) * x.
x * (y * x) = (x * y) * x.
(x * y) * x = x * (y * x).
R(x,y,x) = x.
L(x,y,x) = x.
T(x * y,x) = y * x.
(x * (y * x)) * z != (x * y) * x | 1 = z.
1 = a(x,y,x).
a(x,y,x) = 1.
R(x,y,T(x,z)) = x.
R(T(x,y),z,x) = T(x,y).
T(x,y * x) = T(x,y).
x != y | R(y,z,y) = x.
R(x,y,x) = L(x,z,x).
L(x,y,R(x,z,u)) = x.
x * y != L(x,z,x) | 1 = y.
1 = (x \ 1) * x.
(x \ 1) * x = 1.
L(T(x,y),z,x) = T(x,y).
R(x,y,z) = L(R(x,y,z),u,x).
L(R(x,y,z),u,x) = R(x,y,z).
T(x,y) = T(x,x * y).
T(x,x * y) = T(x,y).
(x * y) / x = x * (y / x).
x * a(y,z,y) = x.
a(x,y,x) \ z = z.
1 / x = x \ 1.
(x \ 1) \ 1 = x.
(x \ 1) * x != y | K(x \ 1,x) = y.
K(x \ 1,x) = 1.
((x / (y / z)) \ x) * u != y | z = u.
x = 1 / (1 / x).
1 / (1 / x) = x.
L(x,y / x,y \ 1) = ((y \ 1) * (y / x)) \ 1.
x * L(x \ 1,y,z) = L(x \ 1,y,z) * x.
L(x \ 1,y,z) * x = x * L(x \ 1,y,z).
R(x / y,y,x \ 1) = (y * (x \ 1)) \ 1.
T(x,y * (1 / y)) = x.
x / L(y,y \ 1,x) = x * (1 / y).
R(x / (1 / y),y \ 1,y) = x * y.
R(x,y,x) = (x \ 1) \ 1.
L(T(x \ y,z),(x \ 1) \ 1,x \ 1) = T(1 \ ((x \ 1) * y),z).
x != 1 | (y \ 1) * y = x.
(x \ 1) * x = K(y \ 1,y).
K(x \ 1,x) = (y \ 1) * y.
T(x,K(y \ 1,y)) = x.
K(x,x \ 1) = 1.
x != y | L(y,z,y) = x.
L(x,y,x) = 1 / (1 / x).
K(x \ 1,y) = K(1 / x,y).
K(1 / x,y) = K(x \ 1,y).
x != 1 | a(y,z,y) = x.
a(x,y,x) = K(z,z \ 1).
K(x,x \ 1) = a(y,z,y).
T(x,K(y,y \ 1)) = x.
R(x,y,x) = R(x,z,T(x,u)).
R(x,y,T(x,z)) = R(x,u,x).
R(x / y,z,y \ x) = x / y.
L(x,y,x) = a(z,u,z) \ x.
x != y | x * a(z,u,z) = y.
(a(x,y,x) \ z) * a(u,w,u) = z.
K(a(x,y,x) * z,u) = K(z,u).
x != y | y * a(z,u,z) = x.
(x * y) * a(z,u,z) = T(y * x,y).
T(x * y,x) = (y * x) * a(z,u,z).
x != y * (y \ z) | z = x.
x = T((y \ x) * y,y \ x).
T((x \ y) * x,x \ y) = y.
T(x,y) = (y \ x) * y.
T(x * y,z) = T(T(y * x,z),y).
T(T(x * y,z),x) = T(y * x,z).
x * y != T(z,y) | y * x = z.
T(x,y) != z * y | y * z = x.
T(x * y,y) = T(x,y) * y.
T(x,y) = T(x,y / x).
T(x,y / x) = T(x,y).
x != y | a(z,u,z) \ y = x.
a(x,y,x) \ z = L(z,u,R(z,w,v5)).
L(x,y,R(x,z,u)) = a(w,v5,w) \ x.
L(x,y,x) = L(x,z,R(x,u,w)).
L(x,y,R(x,z,u)) = L(x,w,x).
R(x,y,z) \ x = (R(x,y,z) \ 1) * x.
(R(x,y,z) \ 1) * x = R(x,y,z) \ x.
T(x,x * K(y,x)) != z | x = z.
x = T(x,K(y,x)).
T(x,K(y,x)) = x.
T(x,y) = T(x,x \ y).
T(x,x \ y) = T(x,y).
T(x * y,(z * x) * y) = T(x * y,R(T(z,x * y),x,y)).
T(x * y,R(T(z,x * y),x,y)) = T(x * y,(z * x) * y).
T(K(x,y),y) = K(x,y).
K(x,y) * y = y * K(x,y).
K(x,y) * T(y,z) = T(y,z) * K(x,y).
T(x,y) * K(z,x) = K(z,x) * T(x,y).
T(x * y,x) != z | y * x = z.
x * K(y \ 1,y) = K(y \ 1,y) * x.
K(x \ 1,x) * y = y * K(x \ 1,x).
T(x,K(1 / y,y)) = x.
x * K(y,y \ 1) = K(y,y \ 1) * x.
K(x,x \ 1) * y = y * K(x,x \ 1).
x != (y \ z) * y | z * K(y \ z,y) = x.
x * K(y \ x,y) = T(x,y).
T(x,y) = x * K(y \ x,y).
T(T(x,y),x) != z | T(x,y) = z.
T(x,y) = (x \ T(x,y)) * x.
(x \ T(x,y)) * x = T(x,y).
T(x,y) / y = y \ x.
(x \ y) \ T(y,x) = x.
T(x \ y,x) = x \ T(y,x).
T(x,(y \ x) * y) = x.
L(x \ 1,x,x \ y) = T(y,x) \ (x \ y).
T(x / y,x) = L(y \ 1,y,x / y) * x.
L(x \ 1,x,y / x) * y = T(y / x,y).
x != T(y,z) | T(y,z / y) = x.
T(x,y / x) = T(x,x \ y).
T(x / y,(x / y) \ x) != z | y \ x = z.
x \ y = T(y / x,y).
T(x / y,x) = y \ x.
T(x,x \ y) != z | (x \ y) \ y = z.
(x \ y) \ y = T(x,y).
T(x,y) = (x \ y) \ y.
(x \ y) * T(x,y) = y.
x / T(y,x) = y \ x.
T(K(1 / x,x),y) = K(1 / x,x).
T(x,y) / y != y \ z | x = z.
x \ y != T(z,x) / x | z = y.
x / T(x,y) = T(x,y) \ x.
(x \ y) / x = x \ (y / x).
R(x,y,z) / x = x \ R(x,y,z).
T(x,y) / (x * y) = (x * y) \ x.
(T(x,y) \ x) \ x = T(x,y).
(L(x,y,z) \ x) \ x = L(x,y,z).
(x \ (y / x)) \ (x \ y) = x.
L(x \ y,z,x \ y) = T(y / x,y).
(x \ y) / y = y \ (y / x).
T(x,y * x) != z | T(x,y) = z.
T(x,y) = (x \ (y * x)) \ (y * x).
T(x * y,(z * x) * y) = R(T(z,x * y),x,y) \ ((z * x) * y).
R(T(x,y * z),y,z) \ ((x * y) * z) = T(y * z,(x * y) * z).
(x \ L(x,y,z)) * x = L(x,y,z).
(x \ ((y \ x) * y)) * x = (y \ x) * y.
L(x,y,z) / x = x \ L(x,y,z).
((x * y) / x) / y = y \ ((x * y) / x).
x / (y * x) = (x * y) \ x.
x != T(y,z) | T(y,y * z) = x.
T(x,x * y) = L(T(x,y),z,x).
L(T(x,y),z,x) = T(x,x * y).
x \ (1 / (1 / x)) = (x \ 1) * x.
T((x * y) / x,z) = x * (T(y,z) / x).
x != y * z | z * T(y,z) = x.
x * T(x \ 1,x) = K(y \ 1,y).
K(x \ 1,x) = y * T(y \ 1,y).
x != ((y / z) \ y) * u | z * u = x.
x * (1 / x) = K(y \ 1,y).
K(x \ 1,x) = y * (1 / y).
(1 / x) * K(y \ 1,y) = x \ 1.
R(x,y,x) * (x * z) = (x * z) * T(x,z).
T(T(x,y),y \ x) = x.
T(x \ y,x \ (y / x)) = y / x.
(x * y) / x = T(y,x \ y).
T(x,y \ x) = (y * x) / y.
(x \ y) / y = T(y,x) \ (x \ y).
T(x,y) \ (y \ x) = (y \ x) / x.
T(x,y) != x * z | K(y \ x,y) = z.
L(x,y,y \ T(y,z)) = T(y,z) \ ((y \ T(y,z)) * (y * x)).
T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)).
R(T(x / y,T(z,y)),y,T(y \ z,y)) = T(z,y) \ (x * (y \ T(z,y))).
T(x \ (x / y),x) = x \ (y \ x).
(x \ y) / x != x \ z | y / x = z.
x \ y != (x \ z) / x | z / x = y.
(x \ y) / y != y \ z | y / x = z.
x \ y != (z \ x) / x | x / z = y.
x / y = (x * (y / x)) \ x.
(x * (y / x)) \ x = x / y.
T((x * y) \ x,x) = (y * x) \ x.
K(x,x \ 1) = y * (1 / y).
x != (y * z) / y | y * (z / y) = x.
x * (y / x) = T(y,x \ y).
T(x,y \ x) = y * (x / y).
L((x / y) \ 1,x / y,y) = y / x.
x / (x / y) = x * (y / x).
x \ T(y,x \ y) = y / x.
T(x * y,y) = x * ((x * y) / x).
x / (x * (y / x)) = x * ((x / y) / x).
x != R(y,z,y) | y = x.
x = L(R(x,y,x),z,x).
L(R(x,y,x),z,x) = x.
K(K(x,x \ 1) * y,z) = K(y,z).
x != y * (z * (1 / z)) | (z * (1 / z)) * y = x.
x * (y * (1 / y)) != z | (y * (1 / y)) * x = z.
x != y * K(z \ 1,z) | K(z \ 1,z) * y = x.
x * K(y \ 1,y) != z | K(y \ 1,y) * x = z.
x != y * K(z,z \ 1) | K(z,z \ 1) * y = x.
x * K(y,y \ 1) != z | K(y,y \ 1) * x = z.
R(L(x,y,x),z,u) = L(R(x,z,u),w,R(x,v5,v6)).
(x * y) * R(L(T(x,y),z,x),u,w) = R(x,u,w) * (x * y).
(x * y) * T(T(x,x * z),u) = x * (y * T(T(x,z),u)).
(x \ y) * z != y | T(x,y) = z.
T(a(x,y,x),z) = a(u,w,u).
x * a(y,z,y) = a(u,w,u) * x.
a(x,y,x) * z = z * a(u,w,u).
T(x,y) != z | (y \ x) * y = z.
(x \ T(x * y,z)) * x = T(y * x,z).
T(x * y,z) / y = y \ T(y * x,z).
x != K(1 / y,y) | T(K(1 / y,y),z) = x.
T(K(1 / x,x),y) = T(K(1 / x,x),z).
R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)).
x \ y != L(y,z,y) | a(u,w,u) = x.
a(x,y,x) = L(z,u,z) \ z.
x != (y \ 1) * y | K(z \ 1,z) = x.
K(x \ 1,x) = y \ (1 / (1 / y)).
x * K(y \ 1,y) = z * T(z \ x,x \ z).
x * T(x \ y,y \ x) = y * K(z \ 1,z).
x != (y \ z) / z | z \ (z / y) = x.
x \ (x / y) = T(x,y) \ (y \ x).
T(x,y) \ (y \ x) = x \ (x / y).
T(x * y,y) != z | T(x,y) * y = z.
T(x,y) * y = x * ((x * y) / x).
T(x * y,y) = x * (x * (y / x)).
T(x * y,y) \ x = x / (x * y).
K(K(x \ 1,x) * y,z) = K(y,z).
a(x,a(y,z,y),u) = (x * (a(y,z,y) * u)) \ ((a(w,v5,w) * x) * u).
(x * (a(y,z,y) * u)) \ ((a(w,v5,w) * x) * u) = a(x,a(y,z,y),u).
x * K(y \ 1,y) = 1 / (1 / x).
x \ (T(x,y) * y) = (x * y) / x.
x * ((x * y) / x) != T(x,y) * z | y = z.
T(x,y) * z != x * ((x * y) / x) | y = z.
x != y | z \ (z * y) = x.
x \ (x * (y / (y * z))) = T(y * z,z) \ y.
T(x * y,y) \ x = z \ (z * (x / (x * y))).
K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z).
x != y * a(z,u,z) | a(w,v5,w) * y = x.
a(x,y,x) * (z * u) = T(u * z,u).
T(x * y,x) = a(z,u,z) * (y * x).
K(T(x * y,x),z) = K(y * x,z).
T(x,y) \ (K(z,x) * T(x,y)) = K(z,x).
x != (1 / y) * K(z \ 1,z) | y \ 1 = x.
x \ 1 = K(y \ 1,y) * (1 / x).
K(x \ 1,x) * (1 / y) = y \ 1.
L((1 / x) \ y,1 / x,K(z \ 1,z)) = (x \ 1) \ (K(z \ 1,z) * y).
K(x \ y,x) * y = (x \ y) * x.
K(x \ y,x) \ ((x \ y) * x) = y.
T(x,K(y \ x,y)) = x.
T(x * y,K(y,x)) = x * y.
T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z.
K(x,y) \ (x * y) = y * x.
K(x,y) * (y * x) = x * y.
x * y != z * (y * x) | K(x,y) = z.
x * (y * z) != z * y | K(z,y) = x.
x * (((y * x) / y) / x) = (y * x) / y.
T(x * (y / x),z) = x * (T(y,z) / x).
x / (x * (y / x)) != x * z | (x / y) / x = z.
(x \ T(y,z)) * x = T((x \ y) * x,z).
T((x \ y) * x,z) = (x \ T(y,z)) * x.
x \ T(x * y,z) != u / x | T(y * x,z) = u.
K(x,y) != T(y,z) \ u | K(x,y) * T(y,z) = u.
x * (y * (T(z,x) / y)) = (y * (z / y)) * x.
T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x.
x != T(y,z) \ (z \ y) | y \ (y / z) = x.
x \ (x / y) = L(y \ 1,y,y \ x).
L(x \ 1,x,x \ y) = y \ (y / x).
L(x \ 1,x,x \ (y / x)) = (x \ y) \ (x \ (y / x)).
x != y \ (y / z) | L(z \ 1,z,y / z) = x.
L(x \ 1,x,y / x) = L(x \ 1,x,x \ y).
x != T(y / z,y) | z \ y = x.
x \ y = L(x \ 1,x,y / x) * y.
L(x \ 1,x,y / x) * y = x \ y.
x / (x * L(x \ 1,y,z)) = (x * L(x \ 1,y,z)) \ x.
x * T(y,(x * y) \ x) = (x * y) * K(z \ 1,z).
(x * y) * K(z \ 1,z) = x * T(y,(x * y) \ x).
T(x * y,y) \ x != z \ u | z * (x / (x * y)) = u.
x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x.
(x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)).
x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x.
((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x).
L(x \ 1,x,(x * y) / x) = L(x \ 1,x,y).
L(x \ 1,x,x * (y / x)) = L(x \ 1,x,y).
R(L(x,y,z),u,w) != v5 | L(R(x,u,w),y,z) = v5.
L(R(x,y,z),u,x) = L(R(x,y,z),w,R(x,v5,v6)).
L(R(x,y,z),u,R(x,w,v5)) = L(R(x,y,z),v6,x).
a(x,y,x) = L(R(z,u,w),v5,z) \ R(z,u,w).
a(x,y,x) = z \ R(z,u,z).
a(x,y,x) != z | T(a(u,w,u),v5) = z.
T(a(x,y,x),z) = u \ R(u,w,u).
a(x,y,x) * z = R(z,u,z).
R(x,y,x) = a(z,u,z) * x.
K(R(x,y,x),z) = K(x,z).
((x \ (y / z)) * x) * z != u | (x * z) * T((x * z) \ y,x) = u.
(x * y) * T((x * y) \ z,x) = y * ((x \ (y \ z)) * x).
x * T(T(y,x),z) != u | T(y,z) * x = u.
T(x,y) * (x * z) = x * (z * T(T(x,z),y)).
x * (y * T(T(x,y),z)) = T(x,z) * (x * y).
x * (T(x,y) * z) = T(x,y) * (x * z).
T(x,y) * (x * z) = x * (T(x,y) * z).
T(x,y) * z = x * (T(x,y) * (x \ z)).
x * (T(x,y) * (x \ z)) = T(x,y) * z.
x != y * (z * (z \ u)) | y * u = x.
x * y = T(x,z) * (x * (T(x,z) \ y)).
T(x,y) * (x * (T(x,y) \ z)) = x * z.
x * y != z * (u * (u \ w)) | x \ (z * w) = y.
T(x,y) \ (x * z) = x * (T(x,y) \ z).
T(x,y) \ x = x * (T(x,y) \ 1).
x * (T(x,y) \ 1) = T(x,y) \ x.
T(x / y,z) * x = (x / y) * (T(x / y,z) * y).
(x / y) * (T(x / y,z) * y) = T(x / y,z) * x.
T(x,y) * (z * x) = x * (T(x,y) * T(z,x)).
x * (T(x,y) * T(z,x)) = T(x,y) * (z * x).
(x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z).
(x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z).
x \ (T(x,y) \ x) = T(x,y) \ 1.
T(x,y) * z != x * u | T(x,y) * (x \ z) = u.
x * y != z * ((z \ x) * u) | L(u,z \ x,z) = y.
L(x,y \ T(y,z),y) = y * (T(y,z) \ ((y \ T(y,z)) * x)).
x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x).
T(x,T(y,x)) = y * (T(y,x) \ x).
x * (T(x,y) \ y) = T(y,T(x,y)).
T(x,y) \ z = x * (T(x,y) \ (x \ z)).
x * (T(x,y) \ (x \ z)) = T(x,y) \ 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) = ((x * y) / x) * (y \ x).
T(x,y) / (y \ x) = (x * y) / x.
T(x,x / y) = ((x * (x / y)) / x) * y.
((x * (x / y)) / x) * y = T(x,x / y).
T(x * y,x) / y = ((x * y) * x) / (x * y).
((x * y) * x) / (x * y) = T(x * y,x) / y.
((x * (y / (1 / z))) / x) * (1 / z) != u | ((x * (y * z)) / x) / z = u.
((x * (x * y)) / x) / y = T(x,x / (1 / y)).
x * ((y * (x \ y)) / y) = T(y,y / x).
(x / y) * ((x * y) / x) = T(x,x / (x / y)).
T(T(x * y,x) / y,y) = R(x,y,T(x,y)).
x * R(y,x,T(y,x)) = T(y * x,y).
x * R(y,z,y) = T(y * x,y).
x != T(y * z,y) | a(u,w,u) * (z * y) = x.
a(x,y,x) * (z * u) = z * R(u,w,u).
x != T(y * z,y) | (z * y) * a(u,w,u) = x.
(x * y) * a(z,u,z) = x * R(y,w,y).
a(x,y,x) * (z * u) = z * (a(w,v5,w) * u).
x * a(y,z,y) = (x / u) * R(u,w,u).
(x / y) * R(y,z,y) = x * a(u,w,u).
(x * y) * a(z,u,z) = x * (a(w,v5,w) * y).
((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))).
T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y).
R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x).
(x / T(y,x)) * y = T(x,x / (x / T(y,x))).
T(x,x / (x / T(y,x))) = (x / T(y,x)) * y.
T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x).
((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y.
x \ (a(y,z,y) * u) = a(w,v5,w) * (x \ u).
a(a(x,y,x),z,u) = (z * (a(w,v5,w) * u)) \ ((a(x,y,x) * z) * u).
(x * (a(y,z,y) * u)) \ ((a(w,v5,w) * x) * u) = a(a(w,v5,w),x,u).
a(x,y,x) * (z * u) = z * (u * a(w,v5,w)).
(x * y) * a(z,u,z) = x * (y * a(w,v5,w)).
x \ (y * a(z,u,z)) = a(w,v5,w) * (x \ y).
x \ (y * (a(z,u,z) * w)) = a(v5,v6,v5) * (x \ (y * w)).
L(x * a(y,z,y),u,w) = (w * u) \ (w * (a(v5,v6,v5) * (u * x))).
R(x,y,a(z,u,z)) = x.
R(x,y,1) = x.
R(x,y,K(z,z \ 1)) = x.
R(x,y,K(z \ 1,z)) = x.
R(x,y,K(1 / z,z)) = x.
x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1).
(x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)).
x * (y * K(z \ 1,z)) = (x * y) * K(z \ 1,z).
(x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)).
(x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u).
R(x,y,z * (1 / z)) = x.
x * (y * K(1 / z,z)) = (x * y) * K(1 / z,z).
(x * y) * K(1 / z,z) = x * (y * K(1 / z,z)).
x * (y * (z * (1 / z))) = (x * y) * (z * (1 / z)).
(x * y) * (z * (1 / z)) = x * (y * (z * (1 / z))).
K(x \ (y * a(z,u,z)),w) = K(x \ y,w).
K(x \ T(y * z,y),u) = K(x \ (z * y),u).
(x / y) * (y * T(y \ x,z)) = T(x / y,z) * x.
K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)).
K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)).
L(K(x \ 1,x),y,z) = K(x \ 1,x).
(x * (1 / y)) * K(z \ 1,z) = x * (y \ 1).
R(x,y,L(K(z \ 1,z),u,w)) = x.
x * K(y \ 1,y) = (x / (1 / z)) * (z \ 1).
(x / (1 / y)) * (y \ 1) = x * K(z \ 1,z).
(x * y) * K(z \ 1,z) = x * ((y \ 1) \ 1).
(x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u.
(x * (y \ 1)) / (1 / y) = x * K(z \ 1,z).
x * y != (x * z) * K(u \ 1,u) | T(z,(x * z) \ x) = y.
T(x,(y * x) \ y) = (x \ 1) \ 1.
(x * y) * (z * (1 / z)) = x * ((y \ 1) \ 1).
T(x \ y,y \ x) = ((x \ y) \ 1) \ 1.
(x \ y) * T(((y \ x) \ 1) \ 1,z) = T(y \ x,z) * (x \ y).
x / (1 / y) = (x / (y \ 1)) * K(z \ 1,z).
(x / (y \ 1)) * K(z \ 1,z) = x / (1 / y).
R(x * K(y \ 1,y),z \ 1,z) = (x * (z \ 1)) * z.
L(K(1 / x,x),y,z) = K(1 / x,x).
T(L(K(1 / x,x),y,z),u) = T(K(1 / x,x),w).
T(L(K(x,1 / x),y,z),u) = T(K(1 / (1 / x),1 / x),w).
(x * (1 / x)) * (y * z) = y * (z * (x * (1 / x))).
(x / y) \ (T(x / y,z) * x) != u | y * T(y \ x,z) = u.
K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z).
K(x \ 1,x) * (y * z) = y * (1 / (1 / z)).
K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z).
K(x \ 1,x) * (y * ((z \ 1) \ 1)) = y * z.
x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z).
K(K(x \ 1,x) * y,z) = (K(x \ 1,x) * (z * y)) \ ((K(x \ 1,x) * y) * z).
(K(x \ 1,x) * (y * z)) \ ((K(x \ 1,x) * z) * y) = K(K(x \ 1,x) * z,y).
K(x,K(y \ 1,y) * z) = ((K(y \ 1,y) * z) * x) \ (K(y \ 1,y) * (x * z)).
((K(x \ 1,x) * y) * z) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y).
R(L(x / (y \ 1),z,u) * K(w \ 1,w),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y.
x / y != y \ z | T(z,y) = x.
T(x,x * L(x \ 1,y,z)) = x.
(L(x \ 1,y,z) * x) / L(x \ 1,y,z) = L(x,L(x \ 1,y,z),x).
((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z).
(x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z).
x * ((x * y) / 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 != z * ((z * y) / z) | T(z,y) = x.
T(x,y) = T(x,x / (x / y)).
T(x,x / (x / y)) = T(x,y).
T(x,x / (x / T(y,x))) * T(y,x) = x * y.
T(x,x / (x / T(y,x))) != z | (x / T(y,x)) * y = z.
(x / T(y,x)) * y = T(x,T(y,x)).
T(x,x / y) = T(x,y \ x).
((x * y) / x) / (x \ y) = T(x,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 * y) / x) / (x \ y) != z | T(x,x / (1 / (x \ 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)).
T(x,x / (x / y)) != z | T(x,y) = z.
T(x,x * y) = T(x,x / (1 / y)).
T(x,x / (1 / y)) = T(x,x * y).
T(x,x / y) != z | T(x,y \ x) = z.
T(x,(1 / y) \ x) = T(x,x * y).
T(x,y \ x) = T(x,x * (y \ 1)).
T(x,x * (y \ 1)) = T(x,y \ x).
T(x,x * y) != z | T(x,y) = z.
T(x,y \ 1) = T(x,y \ x).
x != T(y,z) | T(y,y \ z) = x.
T(x,x \ (y \ x)) = T(x,y \ 1).
x \ T(y,x \ 1) = y / x.
T(x * y,y \ 1) = y * x.
x / y = T(y \ x,x \ 1).
T(x \ y,y \ 1) = y / x.
x / y = T(y \ x,y \ 1).
T(x \ y,x \ 1) = y / x.
x = T(T(x,y),y \ 1).
T(T(x,y),y \ 1) = x.
x \ ((x \ 1) \ (y * (x \ 1))) = y / x.
x \ ((x \ 1) \ y) = (y / (x \ 1)) / x.
(x / (y \ 1)) / y = y \ ((y \ 1) \ x).
(x \ 1) * y = T(y,x) * (x \ 1).
T(x,y) * (y \ 1) = (y \ 1) * x.
x * y = T(y,x \ 1) * x.
T(x,y \ 1) * y = y * x.
T(K(x,y),y \ 1) = K(x,y).
(x \ 1) * (y / x) = (x \ y) * (x \ 1).
T(x \ 1,K(y,x)) = x \ 1.
T((x * y) \ x,K(z,y)) = L(y \ 1,y,x).
(x \ 1) * (x \ ((x \ 1) \ y)) = (x \ (y / (x \ 1))) * (x \ 1).
(x \ (y / (x \ 1))) * (x \ 1) = (x \ 1) * (x \ ((x \ 1) \ y)).
T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ 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 / T(y,x)) * y = (x * (x * y)) / (y * x).
(x * (x * y)) / (y * x) = (x / T(y,x)) * y.
(x * (x * y)) / (y * x) != z | R(T(x,x / (1 / y)),y,x) = z.
R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y.
R(T(x,x * y),y,x) = (x / T(y,x)) * y.
x != (y / T(z,y)) * z | T(y,T(z,y)) = x.
T(x,T(y,x)) = R(T(x,x * y),y,x).
R(T(x,x * y),y,x) = T(x,T(y,x)).
(x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y).
(x * y) * z != R(x,u,x) * (x * y) | T(x,y) = z.
T(x,y) = T(x,T(y,x)).
T(x,T(y,x)) = T(x,y).
x != T(y * z,y) | z * y = x.
x * y = T(y * x,T(y,y * x)).
T(x * y,T(x,x * y)) = y * x.
T(x,T(y,x)) != z | y * (T(y,x) \ x) = z.
x * (T(x,y) \ y) = T(y,x).
L(T(x,y),z,u) = T(L(x,z,u),T(y,x)).
T(L(x,y,z),T(u,x)) = L(T(x,u),y,z).
T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)).
T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y).
T(x,T(y,y * x)) = T(x,y).
T(x \ y,y) = T(x \ y,T(y,x)).
T(x \ y,T(y,x)) = T(x \ y,y).
x \ T(y,x) = T(x,y) \ y.
T(x,y) \ y = x \ T(y,x).
T(x,y) * T(y,x) = x * y.
x * (x * y) = T(x,y) * (y * x).
T(x,y) * (y * x) = x * (x * y).
T(x * y,T(x,y)) = y * x.
x != L(T(y,z),u,w) | T(L(y,u,w),z) = x.
T(L(x,y,z),u) = T(L(x,y,z),T(u,x)).
T(L(x,y,z),T(u,x)) = T(L(x,y,z),u).
T(x,T(y,y * x)) = T(x,L(y,z,y)).
T(x,T(y,y * x)) != z | T(x,y) = z.
T(x,y) = T(x,L(y,z,y)).
T(x,L(y,z,y)) = T(x,y).
T(x,R(y,z,y)) = T(x,y).
T(x,T(y / z,y)) = T(x,z \ y).
x \ y = T(y / x,R(x,z,x)).
T(x / y,R(y,z,y)) = y \ x.
R(x,y,x) * (x \ z) = (z / x) * R(x,y,x).
T(x,T(y,z)) = T(x,(y \ z) \ z).
T(x,(y \ z) \ z) = T(x,T(y,z)).
T(x,T(y,y \ z)) = T(x,T(y,z)).
T(x,T(y,z \ 1)) = T(x,T(y,z \ y)).
T(x,y) * T(L(y,z,u),x) = L(y,z,u) * T(x,y).
x != (y / z) * R(z,u,z) | y * a(w,v5,w) = x.
x * a(y,z,y) = R(u,w,u) * (u \ x).
R(x,y,x) * (x \ z) = z * a(u,w,u).
R(x,y,x) * z = (x * z) * a(u,w,u).
a(x,y,x) * (z * u) = R(z,w,z) * u.
R(x,y,x) * z = a(u,w,u) * (x * z).
(a(x,y,x) * z) * u = a(w,v5,w) * (z * u).
a(x,y,x) * (z * u) = (a(w,v5,w) * z) * u.
(a(x,y,x) * z) \ (a(u,w,u) * v5) = z \ v5.
(a(x,y,x) * (z * u)) * w != (a(v5,v6,v5) * z) * u | 1 = w.
1 = a(a(x,y,x),z,u).
a(a(x,y,x),z,u) = 1.
L(x,y,a(z,u,z)) = x.
a(a(x,y,x) * z,u,w) = (a(v5,v6,v5) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w).
(a(x,y,x) * (z * (u * w))) \ (((a(v5,v6,v5) * z) * u) * w) = a(a(v5,v6,v5) * z,u,w).
L(x,y,a(z,u,z) * w) = (a(v5,v6,v5) * (w * y)) \ ((a(z,u,z) * w) * (y * x)).
(a(x,y,x) * (z * u)) \ ((a(w,v5,w) * z) * (u * v6)) = L(v6,u,a(w,v5,w) * z).
a(x,y,x) * (z * u) = (z * a(w,v5,w)) * u.
L(x,y,1) = x.
L(x,y,K(z,z \ 1)) = x.
L(x,y,K(z \ 1,z)) = x.
x / (y * z) != L(((y * z) * u) / (y * z),z,y) | y * (z * u) = x.
K(x,x \ 1) * (y * z) = (K(x,x \ 1) * y) * z.
(K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z).
L(x \ y,x,z) != u | (z * x) \ (z * y) = u.
(K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z.
K(x \ 1,x) * (y * z) = (K(x \ 1,x) * y) * z.
(K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z).
(K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z).
(a(x,y,x) * z) \ ((a(u,w,u) * v5) * v6) = z \ (v5 * v6).
T(x,y) * T(R(y,z,u),x) = R(y,z,u) * T(x,y).
x != K(y \ 1,y) * (z * ((u \ 1) \ 1)) | z * u = x.
x * y = (K(z \ 1,z) * x) * ((y \ 1) \ 1).
(K(x \ 1,x) * y) * ((z \ 1) \ 1) = y * z.
R(K(x \ 1,x) * y,z,u) = ((K(x \ 1,x) * (y * z)) * u) / (z * u).
((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u).
(x \ 1) * y = K(z \ 1,z) * ((1 / x) * y).
K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z.
x * ((y \ 1) \ 1) != (z * y) * (u * (1 / u)) | z = x.
x = K(y \ 1,y) * (x * (z * (1 / z))).
K(x \ 1,x) * (y * (z * (1 / z))) = y.
(x * K(y \ 1,y)) * ((z \ 1) \ 1) = x * z.
(x * (1 / x)) * y != z * (u * (x * (1 / x))) | z * u = y.
K(x \ 1,x) * ((y * (1 / y)) * z) = z.
x \ y = K(z \ 1,z) * (x \ ((u * (1 / u)) * y)).
K(x \ 1,x) * (y \ ((z * (1 / z)) * u)) = y \ u.
(K(x \ 1,x) * y) \ z = y \ ((u * (1 / u)) * z).
x * y != z * ((y \ 1) \ 1) | x * K(u \ 1,u) = z.
x * ((y \ 1) \ 1) != z * y | z * K(u \ 1,u) = x.
T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y).
(x * K(y \ 1,y)) \ z = x \ ((u * (1 / u)) * z).
(1 / (1 / x)) \ y = x \ ((z * (1 / z)) * y).
x \ ((y * (1 / y)) * z) = (1 / (1 / x)) \ z.
K(x \ 1,x) * ((1 / (1 / y)) \ z) = y \ z.
K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z.
x != L((y \ z) \ 1,y \ z,y) | z \ y = x.
x \ y = T(x \ y,K(z,y \ x)).
T(x \ y,K(z,y \ x)) = x \ y.
K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z).
x != y \ (K(z \ 1,z) * u) | K(z \ 1,z) * (y \ u) = x.
K(x \ 1,x) * (y \ z) = T(K(x \ 1,x) * (z / y),y).
T(K(x \ 1,x) * (y / z),z) = K(x \ 1,x) * (z \ y).
T(K(x \ 1,x) * y,z) = K(x \ 1,x) * (z \ (y * z)).
K(x \ 1,x) * (y \ (z * y)) = T(K(x \ 1,x) * z,y).
K(x \ 1,x) * T(y,z) = T(K(x \ 1,x) * y,z).
T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z).
T(x \ 1,y) = K(z \ 1,z) * T(1 / x,y).
K(x \ 1,x) * T(1 / y,z) = T(y \ 1,z).
(x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5.
x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y).
x * (R(x,y,z) * u) = R(x,y,z) * (x * u).
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u).
R(x,y,z) \ x = x * (R(x,y,z) \ 1).
x * (R(x,y,z) \ 1) = R(x,y,z) \ x.
(R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)).
(x / y) * (y * (x \ 1)) = R(x / y,y,x \ 1) \ (x / y).
R(x / y,y,x \ 1) \ (x / y) = (x / y) * (y * (x \ 1)).
(R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x.
x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u).
(R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)).
(x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z).
R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)).
x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x).
L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)).
L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u.
T(L(K(x,1 / x),y,z),u) = T(K(x,1 / x),w).
x * T(K(y,1 / y),z) = (x / u) * (u * T(K(y,1 / y),w)).
(x / y) * (y * T(K(z,1 / z),u)) = x * T(K(z,1 / z),w).
((x * (y \ 1)) \ 1) \ (y / x) = (y / x) * (x * (y \ 1)).
(((x \ y) * (y \ 1)) \ 1) \ x = (y / (x \ y)) * ((x \ y) * (y \ 1)).
(x / (y \ x)) * ((y \ x) * (x \ 1)) = (((y \ x) * (x \ 1)) \ 1) \ y.
(x \ y) * T(y \ x,z) = T(y \ x,z) * (x \ y).
T(x \ y,z) * (y \ x) = (y \ x) * T(x \ y,z).
(x \ (y \ x)) * ((x / y) \ x) = ((x / y) \ x) * T(x \ (x / y),x).
((x / y) \ x) * T(x \ (x / y),x) = (x \ (y \ x)) * ((x / y) \ x).
(x / y) * (x \ y) = (x \ y) * T(y \ x,y \ 1).
(x \ y) * T(y \ x,y \ 1) = (x / y) * (x \ y).
(x \ y) * (x / y) = (x / y) * (x \ y).
(x / y) * (x \ y) = (x \ y) * (x / y).
(((x \ y) * (x / y)) / y) * (x \ x) = (x / y) * (x \ ((y / y) * (x \ x))).
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) * z != u | z * ((x * T(y,z)) / x) = u.
(x \ 1) * ((y * T(x,x \ 1)) / y) = x \ ((y * x) / y).
(x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y).
(x \ (y / (x \ 1))) * (x \ 1) != z | x \ y = z.
x \ y = (x \ 1) * (x \ ((x \ 1) \ y)).
(x \ 1) * (x \ ((x \ 1) \ y)) = x \ y.
(x \ 1) \ (x \ y) = x \ ((x \ 1) \ y).
L(T(x \ y,z),x,x \ 1) = T(1 \ ((x \ 1) * y),z).
L(T(x \ y,z),x,x \ 1) = T((x \ 1) * y,z).
L(x \ y,x,x \ 1) = (x \ 1) * y.
L(x,y,y \ 1) = (y \ 1) * (y * x).
(x \ 1) * (x * y) = L(y,x,x \ 1).
L(T(x,y),y,y \ 1) = (y \ 1) * (x * y).
L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y.
x != L(T(y,z),u,y) | T(y,z) = x.
T(x \ 1,y) = (x \ 1) * (x * T(x \ 1,y)).
(x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y).
L(x,y,y \ 1) / (y * x) = y \ 1.
(x \ 1) \ L(y,x,x \ 1) = x * y.
x != y \ (z * (a(u,w,u) * v5)) | a(v6,v7,v6) * (y \ (z * v5)) = x.
a(x,y,x) * ((z * u) \ (z * (u * w))) = L(w * a(v5,v6,v5),u,z).
L(x * a(y,z,y),u,w) = a(v5,v6,v5) * ((w * u) \ (w * (u * x))).
L(x * a(y,z,y),u,w) = a(v5,v6,v5) * L(x,u,w).
L(a(x,y,x) * z,u,w) = a(v5,v6,v5) * L(z,u,w).
L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w.
(x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y.
(L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u).
L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w.
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
(x * y) / L(y,z,u) = (x / L(y,z,u)) * y.
x != ((1 / y) * y) * z | z = x.
L(x,y,z) = ((1 / x) * L(x,y,z)) * x.
((1 / x) * L(x,y,z)) * x = L(x,y,z).
(x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y.
(x * L(y,z,u)) / y = (x / y) * L(y,z,u).
((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w.
x * y != L(y,z,u) | y \ L(y,z,u) = x.
x \ L(x,y,z) = (1 / x) * L(x,y,z).
(1 / x) * L(x,y,z) = x \ L(x,y,z).
(x \ L(x,y,z)) / L(x,y,z) = 1 / x.
x * L(x \ 1,y,z) = (x \ 1) \ L(x \ 1,y,z).
(x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z).
(L(x,y,z) / x) / L(x,y,z) = 1 / x.
(x * L(y,z,u)) * T(y,w) = (x * T(x \ (x * y),w)) * L(y,z,u).
(x * T(x \ (x * y),z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z).
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
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 \ (L(x,y,z) * u) = (x \ u) * L((x \ u) \ u,y,z).
(x \ y) * L((x \ y) \ y,z,u) = x \ (L(x,z,u) * y).
(x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w.
L(x,y,z) * (x \ u) = x \ (L(x,y,z) * u).
x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u).
x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u.
x * (L(x,y,z) * u) = L(x,y,z) * (x * u).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
K(L(x,y,z),x * u) = ((x * u) * L(x,y,z)) \ (x * (L(x,y,z) * u)).
((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y).
x != (y * z) \ (z * u) | L(T(y,z) \ u,T(y,z),z) = x.
L(T(x,y) \ L(y \ (x * y),z,u),T(x,y),y) = ((x * y) \ y) * L(((x * y) \ y) \ 1,z,u).
L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w).
((x \ y) \ (x \ (y / x))) * L(((x \ y) \ (x \ (y / x))) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)).
x != L(y / z,u,w) * z | z * L(z \ y,u,w) = x.
x * L(x \ (y * z),u,w) = (L(y / (x / z),u,w) * (x / z)) * z.
(L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w).
x * ((y * (x \ y)) / y) != z | T(y,y / x) = z.
T(x,x / (x * y)) = x * (y * ((x * (y \ 1)) / x)).
x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)).
(x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)).
x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x).
x * ((y * (x \ 1)) / y) != y \ z | T(y,y / (y * x)) = z.
x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y.
(x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z).
(x * (a(y,z,y) * u)) \ ((a(w,v5,w) * x) * u) != v6 | a(x,a(y,z,y),u) = v6.
a(x,a(y,z,y),u) = a(a(w,v5,w),x,u).
a(a(x,y,x),z,u) = a(z,a(w,v5,w),u).
a(a(x,y,x),z,u) != w | 1 = w.
1 = a(x,a(y,z,y),u).
a(x,a(y,z,y),u) = 1.
a(x,1,y) = 1.
L(x,1,y) = x.
L(x,1,y) != z | x = z.
T(x,R(x,y,z) * u) = L(T(x,u),u,R(x,y,z)).
L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y).
x * ((x \ y) * (y \ 1)) = (((x \ y) * (y \ 1)) \ 1) \ x.
(((x \ y) * (y \ 1)) \ 1) \ x = x * ((x \ y) * (y \ 1)).
((x / y) \ x) * T(x \ (x / y),x) = (x \ (y \ x)) * y.
((x / y) \ x) * z != u | y * z = u.
x * T(y \ (y / x),y) = (y \ (x \ y)) * x.
x * (y \ (x \ y)) = (y \ (x \ y)) * x.
(x \ (y \ x)) * y = y * (x \ (y \ x)).
(x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y.
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
(x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y.
(x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5.
x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y.
(x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z).
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w).
(x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x).
K(x,(x / y) / x) = y * ((x * (y \ 1)) / x).
x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z.
K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)).
x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x).
(x \ 1) * ((y * ((x \ 1) \ 1)) / y) != z | x \ ((y * x) / y) = z.
x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),1 / (x \ 1)).
x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y.
(x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5.
x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y.
(x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y.
(x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y.
(x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u).
x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u).
(x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z).
(x * R(y,z,u)) * y = (x * y) * R(y,z,u).
(x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y.
(x * R(y,z,u)) / y = (x / y) * R(y,z,u).
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).
R(x,y,z) / x = (1 / x) * R(x,y,z).
(1 / x) * R(x,y,z) = R(x,y,z) / x.
x != R(y,z,u) / y | y \ R(y,z,u) = x.
x \ R(x,y,z) = (1 / x) * R(x,y,z).
(1 / x) * R(x,y,z) = x \ R(x,y,z).
x \ R(x,y,z) != u * R(x,y,z) | 1 / x = u.
R(T(x,y),z,u) != w | T(R(x,z,u),y) = w.
T(R(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,z,x).
((x / y) * L((x / y) \ 1,z,u)) * y = x * L(x \ y,z,u).
(x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u).
(x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y.
(x / (y * x)) * L((x / (y * x)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x).
T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u).
x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x).
x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y.
(x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)).
x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x).
T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u).
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 * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x).
T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u).
T(x * L(x \ (y / z),u,w),z) = z \ (x * (z * L(z \ (x \ y),u,w))).
x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x).
x != (y * (z * u)) \ ((y * z) * u) | a(y,z,u) = x.
a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y).
K(x \ 1,x) * ((y \ 1) \ z) = L((1 / y) \ z,1 / y,K(x \ 1,x)).
L((1 / x) \ y,1 / x,K(z \ 1,z)) = K(z \ 1,z) * ((x \ 1) \ y).
(x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u).
(K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u).
L(x,y,K(z \ 1,z)) != u | x = u.
(1 / x) \ y = K(z \ 1,z) * ((x \ 1) \ y).
K(x \ 1,x) * ((y \ 1) \ z) = (1 / y) \ z.
K(x \ 1,x) * y != z | (u * (1 / u)) * z = y.
(x * (1 / x)) * ((1 / y) \ z) = (y \ 1) \ z.
(x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u).
(K(x \ 1,x) * y) / z != u | K(x \ 1,x) * (y / z) = u.
K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u).
L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y).
K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u).
R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u).
(x * (1 / x)) * R(K(y \ 1,y) * z,u,w) = R(z,u,w).
(x * (1 / x)) * R(y,z,u) = R((w * (1 / w)) * y,z,u).
R((x * (1 / x)) * y,z,u) = (w * (1 / w)) * R(y,z,u).
(x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * (z / z),y)) * z.
(x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ 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).
((x \ y) * (x / y)) / y = (x / y) * (x \ ((y / y) * (x \ x))).
(x / y) * (x \ ((y / y) * (x \ x))) = ((x \ y) * (x / y)) / y.
(x / y) * (x \ (1 * (x \ x))) = ((x \ y) * (x / y)) / y.
((x \ y) * (x / y)) / y = (x / y) * (x \ (1 * (x \ x))).
((x \ y) * (x / y)) / y = (x / y) * (x \ 1).
((x / y) * (x \ 1)) * y = (x \ y) * (x / y).
T((x / y) * (x \ 1),y) = y \ ((x \ y) * (x / y)).
(x \ T(x,y)) * z = (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)).
(x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z.
x * y != z * (z \ x) | 1 = y.
1 = (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))).
(x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1.
(x * y) * L((x * y) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)).
x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u).
x != (y * z) * L((y * z) \ z,u,w) | (y * L(y \ 1,u,w)) * z = x.
(x * L(x \ 1,y,z)) * u = u * (T(x,u) * L(T(x,u) \ 1,y,z)).
x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * L(y \ 1,z,u)) * x.
T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z).
T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y).
T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ x),z).
(x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u).
x != (y * z) * R((y * z) \ z,u,w) | (y * R(y \ 1,u,w)) * z = x.
(x * R(x \ 1,y,z)) * u = u * (T(x,u) * R(T(x,u) \ 1,y,z)).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x.
T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z).
T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y).
x * (y * L(y \ (x \ (y * z)),u,w)) = y * (T(x,y) * L(T(x,y) \ z,u,w)).
x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)).
(K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(K(x \ 1,x) * z,y).
(K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y).
(a(x,y,x) * z) \ ((a(u,w,u) * v5) * v6) != v7 | z \ (v5 * v6) = v7.
(x * y) \ (x * (y * z)) = L(z,y,a(u,w,u) * x).
L(x,y,a(z,u,z) * w) = (w * y) \ (w * (y * x)).
x != (y * z) \ (y * (z * u)) | L(u,z,y) = x.
L(x,y,z) = L(x,y,a(u,w,u) * z).
L(x,y,a(z,u,z) * w) = L(x,y,w).
L(x,y,z) = L(x,y,a(u,w,u) \ z).
L(x,y,a(z,u,z) \ w) = L(x,y,w).
L(x,y,L(z,u,z)) = L(x,y,z).
L(x,y,T(z / u,z)) = L(x,y,u \ z).
L(x,y,T(z,u)) = L(x,y,(z \ u) \ u).
L(x,y,(z \ u) \ u) = L(x,y,T(z,u)).
L(x,y,(z \ 1) \ 1) = L(x,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).
x \ (y * (x * L(x \ (y \ (x * z)),u,w))) = T(y,x) * L(T(y,x) \ z,u,w).
(K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) != u | K(K(x \ 1,x) * z,y) = u.
K(K(x \ 1,x) * y,z) = K(y,K(x \ 1,x) * z).
K(K(x \ 1,x) * y,z) != u | K(y,z) = u.
K(x,y) = K(x,K(z \ 1,z) * y).
K(x,K(y \ 1,y) * z) = K(x,z).
K(x,T(y \ 1,z)) = K(x,T(1 / y,z)).
K(x,T(1 / y,z)) = K(x,T(y \ 1,z)).
K(x,(1 / y) \ z) = K(x,(y \ 1) \ z).
K(x,y) = K(x,(y \ 1) \ 1).
K(x,(y \ 1) \ 1) = K(x,y).
K(x,R(y,z,y)) = K(x,y).
K(x,L(y,z,y)) = K(x,y).
K(x,a(y,z,y) * u) = K(x,u).
K(x,T(y / z,y)) = K(x,z \ y).
K(x,y \ (z * a(u,w,u))) = K(x,y \ z).
K(x,L(a(y,z,y) * u,w,v5)) = K(x,L(u,w,v5)).
K(x,T(y,z)) = K(x,(y \ z) \ z).
K(x,(y \ z) \ z) = K(x,T(y,z)).
K(x,y \ T(z * u,z)) = K(x,y \ (u * z)).
K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)).
T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y).
x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5.
T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w).
T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u).
T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y).
T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y).
((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w.
(((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y.
(x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / 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 \ z)) / y) != u | ((y * (z / x)) / y) * x = u.
((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y.
(x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y.
((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z).
(x * y) * ((z * ((x * y) \ y)) / z) != u | y * K(z,(z / T(x,y)) / z) = u.
x * K(y,(y / T(z,x)) / y) = (z * ((y * (z \ 1)) / y)) * x.
(x * ((y * (x \ 1)) / y)) * z = z * K(y,(y / T(x,z)) / y).
T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y).
(x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x).
(x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y.
T(x,x / (x * y)) = (x * ((x / y) / x)) * y.
(x * ((x / y) / x)) * y = T(x,x / (x * y)).
(x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w.
x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y.
x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)).
(x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)).
x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)).
x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z.
((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z).
x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),x).
x \ L(x,L(x \ 1,y,z),x) = K(L(x \ 1,y,z),x).
x \ (1 / (1 / x)) = K(L(x \ 1,y,z),x).
K(L(x \ 1,y,z),x) = x \ (1 / (1 / x)).
x != y \ (1 / (1 / y)) | K(z \ 1,z) = x.
K(x \ 1,x) = K(L(y \ 1,z,u),y).
K(L(x \ 1,y,z),x) = K(u \ 1,u).
K(x \ y,y \ x) = K(z \ 1,z).
K(x \ 1,x) = K(y \ z,z \ y).
K(x \ 1,x) != y | 1 = y.
1 = K(x \ y,y \ x).
K(x \ y,y \ x) = 1.
(a(x,y,x) * (z * (u * w))) \ ((a(v5,v6,v5) * (z * u)) * w) = a(a(v7,v8,v7) * z,u,w).
a(a(x,y,x) * z,u,w) = (a(v5,v6,v5) * (z * (u * w))) \ ((a(v7,v8,v7) * (z * u)) * w).
((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z).
(x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y).
(x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y).
(x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y.
x != (a(y,z,y) * u) \ ((a(w,v5,w) * v6) * v7) | u \ (v6 * v7) = x.
(x * (y * z)) \ ((x * y) * z) = a(a(u,w,u) * x,y,z).
a(a(x,y,x) * z,u,w) = (z * (u * w)) \ ((z * u) * w).
a(x,y,z) = a(a(u,w,u) * x,y,z).
a(a(x,y,x) * z,u,w) = a(z,u,w).
a(x,y,z) = a(a(u,w,u) \ x,y,z).
a(a(x,y,x) \ z,u,w) = a(z,u,w).
R(L((x / (y \ 1)) * K(z \ 1,z),u,w),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,u,w)) * y.
R(L(x / (1 / y),z,u),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y.
((x \ 1) * L((x \ 1) \ y,z,u)) * x = R(L(y / (1 / x),z,u),x \ 1,x).
x != R(L(y,z,u),w,v5) | L(R(y,w,v5),z,u) = x.
L(R(x / (1 / y),y \ 1,y),z,u) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y.
((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(R(y / (1 / x),x \ 1,x),z,u).
((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(y * x,z,u).
(x \ L(x * y,z,u)) * x = L(y * x,z,u).
(x \ L(y,z,u)) * x = L((x \ y) * x,z,u).
L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x.
(x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)).
L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x.
(x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)).
x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y).
(x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y).
x * ((y \ (x \ y)) * y) != z | (x * T(x \ 1,y)) * y = z.
((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ ((y \ (x * y)) * y).
x \ ((y \ (x * y)) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y.
x \ (T(x,y) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y.
((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ (T(x,y) * y).
x != y \ (T(y,z) * z) | (y * z) / y = x.
(x * y) / x = ((x \ 1) * T((x \ 1) \ 1,y)) * y.
((x \ 1) * T((x \ 1) \ 1,y)) * y = (x * y) / x.
(x \ T(x,y)) * y = (x * y) / x.
((x * y) / x) / y = x \ T(x,y).
((x * (y \ 1)) / x) / (y \ 1) != z | y * ((x * (y \ 1)) / x) = z.
x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1).
x * (y \ T(y,x)) = (y * x) / y.
x != (y * T(z,y)) / y | z = x.
x = T(x,y) * (y \ T(y,T(x,y))).
T(x,y) * (y \ T(y,T(x,y))) = x.
T(x,y) * (y \ T(y,x)) = x.
T(x,y) \ x = y \ T(y,x).
x * (T(y,x) \ y) = T(x,y).
x * (T(x,y) \ x) = (y * x) / y.
(x * y) / x = y * (T(y,x) \ y).
(x \ 1) * y != T(x \ 1,z) | x * T(x \ 1,z) = y.
x * T(x \ 1,y) = T(y,x \ 1) \ y.
T(x,y \ 1) \ x = y * T(y \ 1,x).
T(x * (T(x,y) \ x),y) = x.
(x * T(x \ 1,y)) \ y = T(y,x \ 1).
K(x \ y,x) \ x = T(x,(y \ x) \ 1).
T(x,(y \ x) \ 1) = K(x \ y,x) \ x.
T(x,y \ 1) = K(x \ (x / y),x) \ x.
K(x \ (x / y),x) \ x = T(x,y \ 1).
x \ y != T(y,z \ 1) | z * T(z \ 1,y) = x.
x * T(x \ 1,y) = K(y \ (y / x),y).
K(x \ (x / y),x) = y * T(y \ 1,x).
x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y).
x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z).
K(x,(x / y) / x) = x \ T(x,y \ 1).
T(x,x / (x * y)) = T(x,y \ 1).
T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)).
T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z.
(x * ((x / y) / x)) * y = T(x,y \ 1).
(x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u.
x \ T(y,z) = (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z).
(x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z).
(1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u.
T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z).
(x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u).
x != K(y,(y / z) / y) | y \ T(y,z \ 1) = x.
x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z).
T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1).
T(x,y) / z = (x / z) * K(y \ (y / ((x / z) \ (1 / z))),y).
(x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y.
(x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w.
x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u).
(x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)).
(x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))).
L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y).
x != K(y \ (y / L(z,z \ 1,y)),u) | K(1 / z,u) = x.
K(1 / x,y) = L(x * T(x \ 1,y),x \ 1,y).
L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y).
L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y).
L(T(x,y) / x,x,y) = K(1 / (1 / x),y).
L(T(x,y) / x,x,y) != z | (x * K(x,y)) / x = z.
(x * K(x,y)) / x = K(1 / (1 / x),y).
K(1 / (1 / x),y) = (x * K(x,y)) / x.
T(K(1 / (1 / x),y),x) = K(x,y).
T(K(x,y),x) = K(x,y).
T(x,K(x,y)) = x.
K(x \ 1,y) * x = x * K(x \ 1,y).
T(x,y) = T(T(x,y),K(x,z)).
T(T(x,y),K(x,z)) = T(x,y).
K(x,y) * T(x,z) = T(x,z) * K(x,y).
T(x,y) * K(x,z) = K(x,z) * T(x,y).
(K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5.
(R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5.
x != y * (z * ((y * (z \ (y \ u))) / y)) | (y * ((u / z) / y)) * z = x.
(x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = (x * (R(u / z,z,u \ y) / x)) * (z * (u \ y)).
(x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5.
x * L(L(x,y,x) \ 1,z,u) = L(x * L(x \ 1,z,u),y,x).
L(x * L(x \ 1,y,z),u,x) = x * L(L(x,u,x) \ 1,y,z).
L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z).
x != y * L(z,u \ y,u) | u * ((u \ y) * z) = x.
x * ((x \ y) * (y \ 1)) = L(y * L(y \ 1,x \ y,x),z,y).
L(x * L(x \ 1,y \ x,y),z,x) = y * ((y \ x) * (x \ 1)).
L(x * ((x \ y) * (y \ 1)),z,y) = x * ((x \ y) * (y \ 1)).
a(x,y,z * ((z \ x) * (x \ 1))) = 1.
(x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)).
(x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w.
x * ((y * z) * ((u * ((y * z) \ y)) / u)) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)).
(x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)).
(x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))).
L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y).
L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z).
x * ((y * (x \ 1)) / y) != z | y \ T(y,x \ 1) = z.
x \ T(x,L(y,z,u) \ 1) = L(y * ((x * (y \ 1)) / x),z,u).
L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1).
L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1).
((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u).
x != ((y * (z / u)) / y) * u | u * ((y * (u \ z)) / y) = x.
((x * y) * z) * ((u * (((x * y) * z) \ (y * z))) / u) = (((u * (1 / R(x,y,z))) / u) * R(x,y,z)) * (y * z).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x).
x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | (y * ((u * (y \ w)) / u)) * z = x.
((x * y) * ((z * ((x * y) \ y)) / z)) * u = (((z * (1 / R(x,y,u))) / z) * R(x,y,u)) * (y * u).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u.
(R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z.
K(x,x \ 1) * ((1 / y) \ z) = (y \ 1) \ z.
K(x,x \ 1) * (y * ((1 / z) \ u)) = y * ((z \ 1) \ u).
K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1).
K(x,x \ 1) * (y * z) != u | (K(x,x \ 1) * y) * z = u.
(K(x,x \ 1) * y) * z = y * ((z \ 1) \ 1).
(K(x,x \ 1) * y) * K(z \ 1,z) = y.
K(x \ 1,x) * (y * (K(z,z \ 1) * u)) = y * u.
K(x \ 1,x) * ((1 / y) * z) != u | (y \ 1) * z = u.
(x \ 1) * (K(y,y \ 1) * z) = (1 / x) * z.
(x \ 1) * ((y * (1 / y)) * z) = (1 / x) * z.
(x \ 1) * R((y * (1 / y)) * z,u,w) = (1 / x) * R(z,u,w).
(x \ 1) * R((y \ 1) \ z,u,w) = (1 / x) * R((1 / y) \ z,u,w).
(1 / x) * R((1 / y) \ z,u,w) = (x \ 1) * R((y \ 1) \ z,u,w).
x != (y \ 1) * R((y \ 1) \ z,u,w) | y \ R(y * z,u,w) = x.
x \ R(x * y,z,u) = (1 / x) * R((1 / x) \ y,z,u).
(1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u).
(1 / x) * R((1 / x) \ y,z,u) != w | R(y * x,z,u) / x = w.
R(x * y,z,u) / y = y \ R(y * x,z,u).
(x \ R(x * y,z,u)) * x = R(y * x,z,u).
x * (R(y * x,z,u) / x) = R(x * y,z,u).
(x \ R(y,z,u)) * x = R((x \ y) * x,z,u).
R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x.
x * (R(y,z,u) / x) = R(x * (y / x),z,u).
R(x * (y / x),z,u) = x * (R(y,z,u) / x).
R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x.
R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z.
((x * ((y / z) / x)) * z) * (y \ u) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
(x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y).
(x * ((y / z) / x)) * z != u | z * (x * ((z \ y) / x)) = u.
(x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = T(x,z \ 1) * (x \ y).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) != u | x * ((x \ T(x,z \ 1)) * (x \ y)) = u.
x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z).
x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z).
T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)).
T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)).
x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z).
x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)).
T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z).
T(x,y) * z = x * ((x \ T(x,y)) * z).
x * ((x \ T(x,y)) * z) = T(x,y) * z.
x * y != z * (u \ (u * (z \ x))) | 1 = y.
1 = (x \ T(x,y)) * (T(x,y) \ x).
(x \ T(x,y)) * (T(x,y) \ x) = 1.
1 != (x \ T(x,y)) * z | T(x,y) \ x = z.
(x \ T(x,y)) * z != 1 | T(x,y) \ x = z.
L(x,y \ T(y,z),y) = x.
x \ (T(x,y) * z) = (x \ T(x,y)) * z.
x * y != T(x,z) * (x * (T(x,z) \ u)) | u = y.
x = (y \ T(y,z)) * (y * (T(y,z) \ x)).
(x \ T(x,y)) * (x * (T(x,y) \ z)) = z.
x * y != T(x,z) * (x * u) | T(x,z) * u = y.
T(x,y) * z = (x \ T(x,y)) * (x * z).
(x \ T(x,y)) * (x * z) = T(x,y) * z.
L(x,y,y \ T(y,z)) = x.
R(x,x \ T(x,y),z) = x.
x \ (T(x,y) * z) = (T(y,x) \ y) * z.
(x \ T(x,y)) \ z = x * (T(x,y) \ z).
x * T(x \ y,z) = (T(z,y / x) \ z) * y.
(T(x,y / z) \ x) * y = z * T(z \ y,x).
x \ (x * (x * y)) = (T(y,x) \ y) * (y * x).
x != y * (T(y,z) \ (y \ u)) | T(y,z) \ u = x.
T(x,y) \ z = (x \ T(x,y)) \ (x \ z).
(x \ T(x,y)) \ (x \ z) = T(x,y) \ z.
(x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1.
x * y = (T(y,x) \ y) * (y * x).
(T(x,y) \ x) * (x * y) = y * x.
K(x,y) = T(y,x) \ y.
K(x,y) * T(y,x) = y.
x != T(y,z) \ y | y / T(y,z) = x.
x / T(x,y) = K(y,x).
K(x,y) = y / T(y,x).
x != T(y,z \ 1) \ y | z * T(z \ 1,y) = x.
x * T(x \ 1,y) = K(x \ 1,y).
x != T(y,z) \ y | z \ T(z,y) = x.
x \ T(x,y) = K(x,y).
K(x,y) = x \ T(x,y).
x / K(y,x) = T(x,y).
T(x,y) = x / K(y,x).
x / K(y,x) != z | T(x,y) = z.
K(x,y) \ y = T(y,x).
T(x,y) = K(y,x) \ x.
x \ K(y,x) = T(x,y) \ 1.
T(x,y) \ 1 = x \ K(y,x).
x * K(x,y) = T(x,y).
T(x,y) = x * K(x,y).
(x * y) / x = y * K(x,y).
T(x * K(y,x),y) = x.
K(x / y,z) * x = y * T(y \ x,z).
K(x,y) \ y != z | T(y,x) = z.
x != y \ T(y,L(z,u,w) \ 1) | L(y \ T(y,z \ 1),u,w) = x.
L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
x != y \ T(y,T(z,u) \ 1) | T(y \ T(y,z \ 1),u) = x.
T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1).
x != y \ T(y,z \ 1) | z * ((y * (z \ 1)) / y) = x.
x * ((y * (x \ 1)) / y) = K(y,x \ 1).
K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z).
L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u).
K(x,y) * x = T(x,y).
T(x,y) = K(x,y) * x.
K(x,x * y) = x \ L(T(x,y),z,x).
x \ L(T(x,y),z,x) = K(x,x * y).
x * (K(x,y) * z) = T(x,y) * z.
L(x,K(y,z),y) = x.
L(x,y,K(y,z)) = x.
R(x,K(x,y),z) = x.
K(x,y) * (x * z) = T(x,y) * z.
K(x,y) \ z = x * (T(x,y) \ z).
x * (T(x,y) \ z) = K(x,y) \ z.
K(x,y) * (x * z) = (K(x,y) * x) * z.
(K(x,y) * x) * z = K(x,y) * (x * z).
R(T(x,y),K(x,z),u) = T(x,y).
R(x,1,y) = x.
K(x \ y,x) = K(y,x).
T(x,y) != x * z | K(x,y) = z.
x \ T(x,y) != z | K(x,y) = z.
(x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z.
T(x,y * R(z,u,w)) != T(z,y) | R(z,y,R(z,u,w)) = x.
R(x,y,R(x,z,u)) = T(x,y) * K(y * R(x,z,u),T(x,y)).
T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)).
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.
T(K(x,y) * y,x) = y.
T(x,y \ 1) = x * K(y,x).
a(x,y,x) \ K(z,u) = K(u \ z,u).
K(x \ y,x) = a(z,u,z) \ K(y,x).
K(x \ (x * y),z) != u | K(y,z) = u.
K(x,y) = K(y * x,y).
K(x * y,x) = K(y,x).
x / y = K(y,y \ x) * (y \ x).
K(x,x \ y) * (x \ y) = y / x.
K(x,y) * a(z,u,z) = K(y * x,y).
K(x * y,x) = K(y,x) * a(z,u,z).
L(x,y * z,K(z,y)) = x.
K(x,y) * ((y * x) * z) = (K(x,y) * (y * x)) * z.
(K(x,y) * (y * x)) * z = K(x,y) * ((y * x) * z).
1 / (x \ K(y,x)) = T(x,y).
T(x,y) = 1 / (x \ K(y,x)).
L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)).
(x * y) / x != z | T(y,x \ y) = z.
T(x,y \ x) = x * K(y,x).
R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x).
R(x * K(y,x),z,u) = (y * R(x,z,u)) / y.
x * y != T(x,z) | K(x,z) = y.
K(x,y \ 1) = K(y,x).
K(x,(y \ 1) \ 1) != z | K(x,y) = z.
K(x,y) = K(y \ 1,x).
K(x \ 1,y) = K(y,x).
L(x,K(y,z),z) = x.
L(x,y,K(z,y)) = x.
((x \ 1) * K(x,y)) * y = y * (x \ 1).
x * (K(y,x) * z) = (x * K(y,x)) * z.
(x * K(y,x)) * z = x * (K(y,x) * z).
T(x \ 1,y) = (x \ 1) * K(y,x).
(x \ 1) * K(y,x) = T(x \ 1,y).
L(x,K(y \ 1,z),y) = x.
L(x,y,K(y \ 1,z)) = x.
L(x \ (y \ z),x,y) != u | (y * x) \ z = u.
(x * K(x \ 1,y)) \ z = K(x \ 1,y) \ (x \ z).
x != y * K(z,y) | K(z,y) * y = x.
K(x,y) * y = T(y,x \ y).
T(x,y \ x) = K(y,x) * x.
K(x,y \ x) = K(y,x).
L(x,K(y,z),y \ z) = x.
L(x,K(y,z),y \ z) != u | x = u.
R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5.
(R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5).
x \ L(T(x,y),z,x) != u | K(x,x * y) = u.
x != K(y \ 1,z) | K(z,y) = x.
K(x,y) = y * T(y \ 1,x).
x \ K(x \ 1,y) = T(x \ 1,y).
(x \ y) * T((x \ y) \ 1,z) != u | x \ (y * T(y \ x,z)) = u.
x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z).
(x / y) * K(y \ 1,z) = x * T(x \ (x / y),z).
x * K((x \ y) \ 1,z) = y * T(y \ x,z).
x * T(x \ y,z) = y * K((y \ x) \ 1,z).
x * (y * T(y \ (x \ y),z)) = K(z,x) * y.
x * y != T(x,z) * (u * x) | T(x,z) * T(u,x) = y.
T(x,y) * T(z,x) = K(x,y) * (z * x).
K(x,y) * (z * x) = T(x,y) * T(z,x).
x * y != T(x,z) * u | T(x,z) * (x \ u) = y.
T(x,y) * (x \ z) = K(x,y) * z.
(x * y) * z != T(x * y,x) * T(x,y) | R(x,u,x) = z.
R(x,y,x) = K(x * z,x) * T(x,z).
T(x,y) \ (K(x,y) * z) = x \ z.
(T(x,y) * z) / (x * z) = K(x,y).
R(K(x,y),x * z,u) = ((T(x,y) * z) * u) / ((x * z) * u).
((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u).
K(x,y) * T(x * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w).
K(x,y) * T(x * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w).
K(x,y) * T(x,z) = T(x,y) * K(x,z).
x * T(y,T(x,z)) = K(x,z) \ (y * T(x,z)).
K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)).
x != T(y,z) | R(T(y,z),u,y) = x.
R(T(x,y),z,x) = T(T(x * K(u,x),y),u).
T(T(x * K(y,x),z),y) = R(T(x,z),u,x).
R(x,y,R(x,z,u)) = T(x * K(y * R(x,z,u),x),y).
T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)).
T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u.
(x \ y) * T((x \ y) \ y,z) = K(x,z) * y.
T(x,y) \ z != x \ K(y,x) | 1 = z.
1 = K(x,y) * K(y,x).
K(x,y) * K(y,x) = 1.
x \ y != T(x,z) \ u | K(x,z) * y = u.
T(x,y) \ z != x \ u | K(x,y) * u = z.
1 / K(x,y) = K(y,x).
K(x,y) \ 1 = K(y,x).
1 != K(x,y) * z | K(y,x) = z.
K(x,y) * z != 1 | K(y,x) = z.
1 / K(x,y) != z | K(y,x) = z.
K(x,y) \ 1 != z | 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,K(y,z)) = K(y,z) * T(K(z,y),x).
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
(T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u).
a(K(x \ y,x),z,u) = a(K(y,x),z,u).
a(x,y,x) * K(z,u) = K(u * z,u).
K(x * y,x) = a(z,u,z) * K(y,x).
a(x,y,x) * (K(z,u) * w) = K(u * z,u) * w.
K(x * y,x) * z = a(u,w,u) * (K(y,x) * z).
x != K(y,z) * T(z,u) | T(z,u) * K(y,z) = x.
T(x,y) * K(x * y,x) = R(x,z,x).
R(x,y,x) = T(x,z) * K(x * z,x).
(x * T(x \ y,z)) / y = K(y / x,z).
x * T(x \ y,z) != K(y / x,z) * u | y = u.
K(x / y,z) * u != y * T(y \ x,z) | x = u.
(x / y) * ((z * ((x / y) \ 1)) / z) != u | (x * ((z * (x \ y)) / z)) / y = u.
(x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1).
(x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y.
K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u.
R(K(x,y),x,z) = K(x,y).
((x * y) / x) * z = y * (K(x,y) * z).
x != T(y,z) * T(R(z,u,w),y) | R(z,u,w) * T(y,z) = x.
R(x,y,z) * T(u,x) = K(u,x) * (R(x,y,z) * u).
K(x,y) * (R(y,z,u) * x) = R(y,z,u) * T(x,y).
x != T(y,z) * T(L(z,u,w),y) | L(z,u,w) * T(y,z) = x.
L(x,y,z) * T(u,x) = K(u,x) * (L(x,y,z) * u).
K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y).
x != T(y,z) * K(y,u) | K(y,u) * T(y,z) = x.
K(x,y) * T(x,z) = K(x,z) * T(x,y).
(x * (y * T(y \ (x \ z),u))) / z = K(z / (x * y),u).
x * y != ((z * x) / z) * (x * u) | ((z * x) / z) * u = y.
((x * y) / x) * z = K(x,y) * (y * z).
K(x,y) * (y * z) = ((x * y) / x) * z.
(x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z).
x != ((y * z) / y) * u | z * (K(y,z) * u) = x.
x * (K(y,x) * z) = K(y,x) * (x * z).
K(x,y) * (y * z) = y * (K(x,y) * z).
K(x,x \ y) * ((x \ y) * z) = (y / x) * z.
K(x,y) * T(y,z) = y * (K(x,y) * K(y,z)).
x * (K(y,x) * K(x,z)) = K(y,x) * T(x,z).
T(T(x * K(x * y,x),z),y) = R(T(x,z),u,x).
T(x,y) \ x = (x \ 1) \ (T(x,y) \ 1).
(x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x.
(x \ 1) * (T(x,y) \ x) = T(x,y) \ 1.
(x \ 1) * K(y,x) = T(x,y) \ 1.
(x \ 1) * K(y,x) != z | T(x \ 1,y) = z.
T(x \ 1,y) = T(x,y) \ 1.
K(x,T(1 / y,z)) = K(x,T(y,z) \ 1).
K(x,T(y,z)) = K(x,T(1 / y,z) \ 1).
K(x,T(1 / y,z) \ 1) = K(x,T(y,z)).
T(K(x,y \ 1),z) = K(x,T(y,z) \ 1).
K(x,T(y,z) \ 1) = T(K(x,y \ 1),z).
K(x,T(1 / y,z) \ 1) = T(K(x,y),z).
K(x,T(1 / y,z) \ 1) != u | K(x,T(y,z)) = u.
K(x,T(y,z)) = T(K(x,y),z).
x != T(y,z) | y * K(y,z) = x.
K(x,y) * K(K(x,y),z) = K(x,T(y,z)).
x != T(K(y,z),y) | K(y,z) = x.
K(x,y) = K(x,T(y,x)).
K(x,T(y,x)) = K(x,y).
x * K(y,T(z,x)) = K(y,z) * x.
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
K(x,T(y,z)) != u | K(x,(y \ z) \ z) = u.
K(x,(y \ x) \ x) = K(x,y).
K(x,T(y / z,y)) != u | K(x,z \ y) = u.
K(x,y \ x) = K(x,x / y).
K(x,x / y) = K(x,y \ x).
K(x,x \ (y * x)) = K(x,y).
K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)).
K(x,x \ y) = K(x,y / x).
K(x,y / x) = K(x,x \ y).
K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)).
K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)).
K(x,y * x) = K(x,x * y).
K(x,y \ x) != z | K(y,x) = z.
K(x \ y,y) = K(y,x).
K((x / y) \ x,z) != u | K(y,z) = u.
K(x,y) = K(y,y / x).
K(x,x / y) = K(y,x).
T(x,y \ x) \ 1 = x \ K(x,y).
K(x,y) * K(z,x) = K(z,x) * K(x,y).
T(x,y) \ 1 != z | T(x \ 1,y) = z.
T(x \ 1,y \ x) = x \ K(x,y).
T(x,y) != z | T(x,T(y,x)) = z.
T(x \ 1,T(y \ x,x \ 1)) = x \ K(x,y).
K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)).
T(K(x,y),K(z,x)) = K(x,y).
K(x,y) * L(K(y,z),u,w) = L(K(y,z),u,w) * K(x,y).
L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u).
x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y).
x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y).
x \ (y * K((y \ x) \ 1,z)) = T(x \ y,z).
(x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z).
x \ (K(y,x) * T(x,z)) = K(y,x) * K(x,z).
T(x \ 1,x / y) = x \ K(x,y).
T((x \ 1) * (x / y),x \ K(x,y)) = (x / y) * (x \ 1).
K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u.
K(x,K(y,z)) = K(y * x,K(y,z)).
K(x * y,K(x,z)) = K(y,K(x,z)).
x \ (y * K(z,y \ x)) = T(x \ y,z).
x != a(y,z,y) * (u * w) | u * (a(v5,v6,v5) * w) = x.
K(x,y) * (a(z,u,z) * w) = K(y * x,y) * w.
K(x * y,x) * z = K(y,x) * (a(u,w,u) * z).
R(x,y,x) = T(x * K(x * z,x),z).
T(x * K(x * y,x),y) = R(x,z,x).
K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * (a(w,v5,w) * u).
K(a(x,y,z),x * (y * z)) * (a(u,w,u) * v5) = K((x * y) * z,x * (y * z)) * v5.
L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1).
K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u).
(x * y) * z = K(x,y) * ((y * x) * z).
K(x,y) * ((y * x) * z) = (x * y) * z.
(x * y) \ (K(x,y) * z) = (y * x) \ z.
(x * y) \ K(x,y) = (y * x) \ 1.
K(x \ y,x) * (y * z) = ((x \ y) * x) * z.
x != ((y \ 1) * (y / z)) \ 1 | L(z,y / z,y \ 1) = x.
L(x,y / x,y \ 1) = ((y / x) * (y \ 1)) \ K(y / x,y \ 1).
((x / y) * (x \ 1)) \ K(x / y,x \ 1) = L(y,x / y,x \ 1).
L(x,y,z) = (y * z) \ (K(y,z) * (z * (y * x))).
(x * y) \ z != (y * x) \ (K(y,x) * u) | u = z.
x = K(y,z) * (K(z,y) * x).
K(x,y) * (K(y,x) * z) = z.
T(x * y,(y * x) \ z) = T(x * y,K(x,y) * z).
x = K(y,x / z) * (z * T(z \ x,y)).
K(x,y / z) * (z * T(z \ y,x)) = y.
K(x,y) * z = K(y,x) \ z.
K(x,y) \ z = K(y,x) * z.
x / (K(y,z) * x) = K(z,y).
K(x,y) * z != T(x,y) * u | x * u = z.
x * y = K(z,x) * (T(x,z) * y).
K(x,y) * (T(y,x) * z) = y * z.
K(x,y) * z != K(y,u) * K(x,y) | K(y,u) = z.
K(x,y) = K(x,z) * (K(x,y) * K(z,x)).
K(x,y) * (K(x,z) * K(y,x)) = K(x,z).
K(x,y) * z != K(y * x,y) | a(u,w,u) = z.
a(x,y,x) = K(z,u) * K(z * u,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 | K(y,x) * z = u.
L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u.
x * y = T(x,z) * (K(z,x) * y).
T(x,y) * (K(y,x) * z) = x * z.
T(x,y) \ z = x \ (K(y,x) * z).
x \ (K(y,x) * z) = T(x,y) \ z.
K(x * y,x) * (K(x,y) * z) = a(u,w,u) * z.
x != K(y,z) * a(u,w,u) | K(z * y,z) = x.
K(x * y,x) = K(x,y) \ a(z,u,z).
K(x,y) \ z != u | x * (T(x,y) \ z) = u.
x * (T(x,y) \ z) = K(y,x) * z.
T(K(x,y),z) = z \ (K(y,x) \ z).
x \ (K(y,z) \ x) = T(K(z,y),x).
L(K(x,y),z,u) \ w = K(L(y \ 1,z,u) \ 1,x) * w.
K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w.
x / (y * x) != z | (x * y) \ x = z.
(x * K(y,z)) \ x = K(z,y).
(x * y) / (T(x,z) * y) = K(z,x).
x != K(y,L(z \ 1,u,w) \ 1) | L(K(y,z),u,w) = x.
L(K(x,y),z,u) = (w * K(L(y \ 1,z,u) \ 1,x)) \ w.
(x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u).
x / K(y,z) = x * K(z,y).
(x * K(y,z)) * K(z,y) = x.
((x * y) / x) \ y = K(y,x).
K(x,y) = ((y * x) / y) \ x.
x * K(y,z) != u | u * K(z,y) = x.
x * K(x,y) != z | T(x,y) = z.
(x * K(y,z)) \ x != u | K(z,y) = u.
(x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w.
(x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w.
K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z).
R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y).
K(x,K(y,z)) * u != K(y,z) * T(K(z,y),x) | 1 = u.
1 = T(K(x,y),z) * T(K(y,x),z).
T(K(x,y),z) * T(K(y,x),z) = 1.
R(K(x,y),T(y,x) * z,u) = ((y * z) * u) / ((T(y,x) * z) * u).
K(x \ y,y \ 1) * ((y \ K(y,x)) * z) = (y \ 1) * z.
x = K(x,y) * ((y * x) / y).
K(x,y) * ((y * x) / y) = x.
T(x,y) \ (x * z) != u | K(y,x) * z = u.
T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x).
K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z).
x \ y != T(x,z) \ (z \ x) | x / z = y.
x / y = K(y,x) * (y \ x).
K(x,y) * (x \ y) = y / x.
T(x,y) * (T(x,z) \ u) = K(x,y) * (K(z,x) * u).
K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u).
x * (y \ z) != z / y | K(y,y \ z) = x.
K(x,x \ y) = K(x,y).
L(T(K(x,y),x \ y) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z).
K(x,x \ y) != z | K(x,y / x) = z.
K(x,y / x) = K(x,y).
K(x,y) = K(x,x * y).
K(x,x * y) = K(x,y).
K(x,y) * ((x \ y) * z) = (y / x) * z.
x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u.
T(x,y) \ z = K(y,x) * (x \ z).
K(x,y) * (y \ z) = T(y,x) \ z.
x * y != K(z,x) * u | u * T(u \ (x \ u),z) = y.
x * T(x \ (y \ x),z) = T(y,z) \ x.
K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z.
K(x,T(y,z)) * T(K(y,x),z) = 1.
K(x,x * y) * ((x * y) \ z) = (y * x) \ z.
K(T(x,y),z) = T(K(x,z),y).
x != T(K(y,z),u) | K(y,T(z,u)) = x.
K(x,T(y,z)) = K(T(x,z),y).
K(T(x,y),z) = K(x,T(z,y)).
x * K(T(y,x),z) = K(y,z) * x.
x != K(y,T(z / u,z)) | K(y,u \ z) = x.
K(x,y \ z) = K(T(x,z),z / y).
K(T(x,y),y / z) = K(x,z \ y).
K(T(x * y,x),z) != u | K(y * x,z) = u.
K(x * y,z) = K(y * x,T(z,y)).
K(x * y,T(z,x)) = K(y * x,z).
K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)).
K((x \ y) \ y,z) = K(x,T(z,y)).
K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))).
K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w).
T(T(x,y),z) = T(x,y) * K(x,T(z,y)).
T(x,y) * K(x,T(z,y)) = T(T(x,y),z).
K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u.
(K(x,y) * z) * K(y,T(x,z)) = z.
x * K(y,z) = K((x * y) / x,z) * x.
K((x * y) / x,z) * x = x * K(y,z).
x * K(y \ x,z) = K(x / y,z) * x.
K(x / y,z) * x = x * K(y \ x,z).
x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x.
(K(x,y) * z) \ z = K(y,T(x,z)).
K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)).
K(x * y,x) = K(y * x,x).
K(x * y,y) = K(y * x,y).
K(R(x,y,z) * u,x) = K(u * R(x,y,z),x).
K(L(x,y,z) * u,x) = K(u * L(x,y,z),x).
K(x * y,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,y) | a(u,w,u) * K(z,y) = x.
a(x,y,x) * K(z,u) = K(z * u,u).
K(x * y,y) = a(z,u,z) * K(x,y).
R(x,y,x) = T(x,z) * K(z * x,x).
(K(x,y) * z) \ z != u | K(y,T(x,z)) = u.
a(x,y,x) = K(z,z \ u) * K(u,z).
a(x,y,x) != K(z,u) * w | K(z * u,z) = w.
x * y != z | K(x,y) * (y * x) = z.
K(x * y,x) != z \ a(u,w,u) | K(x,y) = z.
K(x * y,x) != z | K(y,x) * a(u,w,u) = z.
a(K(x * y,y),z,u) = a(K(x,y),z,u).
a(x,y,x) * K(z,u) = K(z,z \ u).
K(x,x \ y) = a(z,u,z) * K(x,y).
a(K(x,x \ y),z,u) = a(K(x,y),z,u).
K(x,(y * z) / (y * u)) * (y * (u * T(u \ z,x))) = y * z.
x \ (T(y,z) \ x) = T(x \ (y \ x),z).
T(x \ (y \ x),z) = x \ (T(y,z) \ x).
((x * y) * z) * T(((x * y) * z) \ (y * z),u) = T(R(x,y,z),u) \ ((x * y) * z).
T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u.
K(x,y) * T(x,T(z,y)) = T(T(x,y),z).
K(x / y,z) * x != u | y * T(y \ x,z) = u.
x * T(x \ y,z) = y * K(x \ y,z).
x * y != y * K(z,y) | K(z,y) = x.
K(x \ y,y) = K(y / x,y).
K(x / y,x) = K(y \ x,x).
T(x \ (y \ x),K(z,y)) = x \ (y \ x).
x != y * K(z,u) | y / K(u,z) = x.
x / K(y,z \ x) = z * T(z \ x,y).
(x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u.
x \ T(x * y,z) = y * K((x \ 1) \ y,z).
x * T(x \ 1,y) = K(z \ (z / x),y).
K(x \ (x / y),z) = y * T(y \ 1,z).
x \ (y * T(y \ x,z)) = K(y \ x,z).
x * y != z * T(z \ x,u) | K((x \ z) \ 1,u) = y.
K((x \ y) \ 1,z) = K(y \ x,z).
(x / y) * T((x / y) \ x,z) = x * K(y,z).
x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u.
(L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u).
(x * T(x \ y,z)) \ y = K(z,x \ y).
K(x \ 1,y) != z | K(y,x) = z.
K(x,y \ z) = K(z \ y,x).
K(x \ y,z) = K(z,y \ x).
K(x \ 1,y) = K((z * x) \ z,y).
K((x * y) \ x,z) = K(y \ 1,z).
K(x \ 1,y) = K(z \ (z / x),y).
K(x \ (x / y),z) = K(y \ 1,z).
K(x,y) != z | K(y \ 1,x) = z.
K(x \ 1,y \ z) = K(x,z \ y).
K(x,y) != z | K(y,x \ 1) = z.
K(x,(y \ z) \ 1) = K(x,z \ y).
T(x \ y,z) = (x \ y) * K(z,y \ x).
(x \ y) * K(z,y \ x) = T(x \ y,z).
K((x * y) \ x,z) != u | K(L(y \ 1,y,x),z) = u.
K(L(x \ 1,x,y),z) = K(x \ 1,z).
x * T(x \ y,z) = y * K(u \ (u / (y \ x)),z).
K(x,T(y,z) \ 1) = K(x,(y * z) \ z).
K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)).
L(K(x,y \ z),u,w) = K(x,L(z \ y,u,w) \ 1).
K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w).
1 / K(x \ 1,y) = K(y,L(x \ 1,x,z)).
K(x,L(y \ 1,y,z)) = 1 / K(y \ 1,x).
x != (y / z) * T((y / z) \ 1,u) | (y * T(y \ z,u)) / z = x.
(x * T(x \ y,z)) / y = K(u \ (u / (x / y)),z).
K(x \ (x / (y / z)),u) = (y * T(y \ z,u)) / z.
x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u).
(x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z).
((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)).
(x * ((y \ (x \ z)) * y)) \ z = K(y,(y * x) \ z).
x != T(y \ z,u) | y \ (z * K(u,z \ y)) = x.
x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x).
K(x,T(y \ 1,z)) = K(x,(y * z) \ z).
K(x,T((y / z) \ 1,z)) = K(x,y \ z).
x != 1 / K(y,z) | K(z,y) = x.
K(x,y \ 1) = K(x,L(y \ 1,y,z)).
K(x,L(y \ 1,y,z)) = K(x,y \ 1).
K(x,y / z) = K(x,(z / y) \ 1).
K(x,(y / z) \ 1) = K(x,z / y).
T(x,L(y \ 1,y,z)) = K(x,y \ 1) * x.
K(x,y \ 1) != z | K(y,x) = z.
K(x / y,z) = K(z,y / x).
K(x \ 1,y / z) = K(x,z / y).
x != K(y,z) * y | T(y,z) = x.
T(x,y \ 1) = T(x,L(y \ 1,y,z)).
T(x,L(y \ 1,y,z)) = T(x,y \ 1).
T(x * y,L(y \ 1,y,x)) != z | ((x * y) \ x) \ x = z.
((x * y) \ x) \ x = T(x * y,y \ 1).
T(x * y,y \ 1) = ((x * y) \ x) \ x.
T(x,y \ z) = T(x,(z \ y) \ 1).
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,y / z) = T(x,(z / y) \ 1).
T(x,(y / z) \ 1) = T(x,z / y).
T(x * y,y \ 1) != z | y * x = z.
(x \ y) * z = T(z * (x \ y),y \ x).
T(x * (y \ z),z \ y) = (y \ z) * x.
T(x,T(y,z) \ 1) = T(x,(y * z) \ z).
T(x,T(y,z) \ 1) = T(x,z \ (y \ z)).
(x \ 1) * (((y * x) \ y) \ y) = (y * x) * (x \ 1).
(x \ y) * ((y \ x) * z) = (z * (y \ x)) * (x \ y).
(x * (y \ z)) * (z \ y) = (z \ y) * ((y \ z) * x).
T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u.
T(x,(y * z) \ z) = T(x,z \ (y \ z)).
x * K(x,y \ (z \ y)) = T(x,(z * y) \ y).
K(x,y) * ((x * y) \ z) = (y * x) \ z.
K(x,y) * z = (y * x) \ ((x * y) * z).
(x * y) \ ((y * x) * z) = K(y,x) * z.
1 * (((x \ y) * (y \ x)) \ z) = ((y \ x) * (x \ y)) \ z.
K(x,T(y,z)) * a(u,w,u) = T(y,T(x,z)) \ R(y,v5,y).
T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(w,v5,w).
K(x * y,z) != u | K(y * x,T(z,y)) = u.
K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y).
(x / y) * T(y,z) = x * K(y,z).
((x / T(y,z)) / y) * T(y,z) != u | x / y = u.
x / y = (x / T(y,z)) * K(y,z).
(x / T(y,z)) * K(y,z) = x / y.
x * T(y,z) = (x * y) * K(y,z).
(x * y) * K(y,z) = x * T(y,z).
R(x,y,z) * T(y * z,u) = ((x * y) * z) * K(y * z,u).
((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u).
(x * K(y,z)) * y = x * T(y,z).
T(x * K(y,z),x / y) = T(y,z) * (x / y).
((x / y) * L(y,z,u)) * T(y,w) = (x * L(y,z,u)) * K(y,w).
(x * K(y,z)) * L(y,u,w) = ((x / y) * L(y,u,w)) * T(y,z).
((x / y) * L(y,z,u)) * T(y,w) = (x * K(y,w)) * L(y,z,u).
(x / y) * K(z,y) = x / T(y,z).
(x / (y \ z)) * K(z / y,y) = x / (z / y).
(x * T(y,z)) * K(z,y) = x * y.
L(K(x,y),x,z) = K(x,y).
T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)).
K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)).
(x * y) * K(y,z) != x * u | T(y,z) = u.
(x * y) * K(z,y) = x * T(y,z \ y).
(x * y) \ (y * T(x,z)) = K(y,x) * K(x,z).
a(x,y,K(y,z)) = 1.
a(x,y,K(z,y)) = 1.
L(K(x,y),y,z) = K(x,y).
(x * K(y,z)) * z = x * T(z,y \ z).
x * y = (x * K(z,y)) * T(y,z).
(x * K(y,z)) * T(z,y) = x * z.
x * K(y,z) = (x * z) / T(z,y).
(x * y) / T(y,z) = x * K(z,y).
(x * K(y,z)) / z = x / T(z,y).
(x * K(y,z)) \ (x * z) = T(z,y).
x * T(T(y,z),u) != (T(y,u) * z) * T(y,z) | y * z = x.
x * y = (T(x,z) * y) * K(z,T(x,y)).
(T(x,y) * z) * K(y,T(x,z)) = x * z.
T(x,y) \ (T(x,y) / z) = ((z \ T(x,y)) * K(y,x)) / x.
((x \ T(y,z)) * K(z,y)) / y = T(y,z) \ (T(y,z) / x).
(x * K(y,y * z)) / (y * z) = x / (z * y).
(T(x,y) * K(z,K(y * x,x))) \ R(x,u,x) = T(K(y * x,x),z).
(x * y) * K(z,y) = x * ((z * y) / z).
x != (y \ z) * T(z \ y,u) | T(z \ y,u) * (y \ z) = x.
T(x \ y,z \ (x \ y)) * (y \ x) = ((y \ x) * K(z,x \ y)) * (x \ y).
(x * K(y,z)) * z = x * (K(y,z) * z).
(x * T(y,z)) \ (y * x) = K(T(y,z),x) * K(z,T(y,x)).
K(T(x,y),z) * K(y,T(x,z)) = (z * T(x,y)) \ (x * z).
(x * (y \ z)) * K(y,y \ z) = x * (z / y).
L(x,K(y,x),z) = x.
L(x,K(x,y),z) = x.
(x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)).
K(x,(y * z) \ z) = K(x,z \ (y \ z)).
K(x,(y * z) \ z) != u | K(x,T(y \ 1,z)) = u.
K(x,T(y \ 1,z)) = K(x,z \ (y \ z)).
K(x,T(y,z)) != u | K(T(x,z),y) = u.
K(T(x,y),z \ 1) = K(x,y \ (z \ y)).
K(x,y \ 1) = K(x,R(x,z,u) \ (y \ R(x,z,u))).
K(x,R(x,y,z) \ (u \ R(x,y,z))) = K(x,u \ 1).
K(x,y) \ (z * T(x,y)) != u | x * T(z,T(x,y)) = u.
x * T(y,T(x,z)) = T(y * x,K(x,z)).
T(x * y,K(y,z)) = y * T(x,T(y,z)).
T(x,K(y,z)) = y * T(x / y,T(y,z)).
x * T(y / x,T(x,z)) = T(y,K(x,z)).
T(x * (y \ 1),K(y \ 1,z \ y)) = (y \ 1) * T(x,y \ K(y,z)).
x != K(y,z) * K(z,u) | K(z,u) * K(y,z) = x.
K(x,y) * K(z,x) = (x * z) \ (z * T(x,y)).
(x * y) \ (y * T(x,z)) = K(x,z) * K(y,x).
x != K(y,z) * K(z,T(y,u)) | K(u,K(y,z)) = x.
K(x,K(y,z)) = (z * y) \ (y * T(z,T(y,x))).
(x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)).
(x * K(y,z)) / (y * z) = x / (z * y).
x != ((y * z) * T(u,z)) / (u * z) | R(y,z,T(u,z)) = x.
R(x,y,T(z,y)) = (((x * y) * T(z,y)) * K(y,z)) / (y * z).
(((x * y) * T(z,y)) * K(y,z)) / (y * z) = R(x,y,T(z,y)).
(x / (y * z)) * (z * y) = x * K(z,y).
x * (y * z) = (x * (z * y)) * K(y,z).
(x * (y * z)) * K(z,y) = x * (z * y).
(x * (y / z)) * z = (x * (z \ y)) * T(z,z \ y).
(x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y.
(x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)).
K(x * y,K(y,z)) = K(z,K(y,x)).
K(x * y,K(y,z)) != u | K(y * x,K(y,z)) = u.
K(x * y,K(x,z)) = K(z,K(x,y)).
K(x * y,K(x,z)) != u | K(y,K(x,z)) = u.
K(x,K(y,z)) = K(z,K(y,x)).
T(x,K(y,z)) = K(z,K(y,x)) * x.
K(x,K(y,z)) * z = T(z,K(y,x)).
K(x,K(y,z)) = K(y \ 1,K(z,x)).
K(x \ 1,K(y,z)) = K(z,K(x,y)).
K(x,K(y \ z,u)) = K(z \ y,K(u,x)).
K(x \ y,K(z,u)) = K(u,K(y \ x,z)).
x != K(y,K(z,u)) | K(u,K(z,y)) = x.
K(x,K(y,z)) = K(y \ 1,K(x,z)).
K(x \ 1,K(y,z)) = K(y,K(x,z)).
K(K(x,y),z) = K(x,K(z,y)).
K(K(x,y),z) != u | K(z,K(y,x)) = u.
K(x,K(y,z)) = K(z,K(x,y)).
K(x,y) * K(x,K(z,y)) = K(x,T(y,z)).
K(x,K(y,z)) = K(y,K(x,z)).
K(x * y,K(y,z)) != u | K(z,K(y,x)) = u.
K(x,K(y,z)) = K(x,K(z * y,y)).
K(x,K(y * z,z)) = K(x,K(z,y)).
T(x,K(y,z)) = x * K(y,K(z,x)).
x * K(y,K(z,x)) = T(x,K(y,z)).
T(x,K(y,z)) = K(y,K(z,x)) * x.
K(x,K(y,z)) * z = T(z,K(x,y)).
K(x,K(y,z)) = K(z,K(x,z * y)).
K(x,K(y,x * z)) = K(y,K(z,x)).
x != K(y,K(z,u)) | K(K(y,u),z) = x.
K(K(x,y),z) = K(z,K(x,y)).
(x * y) * K(z,K(y,u)) = x * T(y,K(z,u)).
K(x,K(y,z)) * z != u | T(z,K(y,x)) = u.
T(x,K(y,z)) = T(x,K(z,y)).
K(x,K(y,z)) = K(x,K(z,x * y)).
K(x,K(y,x * z)) = K(x,K(z,y)).
(x * y) * K(x,K(y,z)) = T(x * y,K(x,z)).
K(x,K(y,z)) != u | K(z,K(y,x)) = u.
K(x,K(y,z \ u)) = K(x,K(u \ z,y)).
K(x,K(y \ z,u)) = K(x,K(u,z \ y)).
K(x,y) * K(y,K(z,x)) = K(x,T(y,z)).
K(x,K(y,z)) = K(x,K(z,y \ z)).
K(x,K(y,z \ y)) = K(x,K(z,y)).
K(x,T(y,z)) * T(K(z,x),y) = K(x,y) * K(z,x).
(x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w.
x * T(y,K(x,z)) = T(x * y,K(x,z)).
T(x * y,K(x,z)) = x * T(y,K(x,z)).
x * y != T(z,K(x,u)) | T(z / x,T(x,u)) = y.
T((x * y) / x,T(x,z)) = T(y,K(x,z)).
T(x,T(y,z)) = T(T(x,y),K(y,z)).
T(T(x,y),K(y,z)) = T(x,T(y,z)).
T(x,K(y,z)) != u | T(x,K(z,y)) = u.
T(T(x,y),K(z,y)) = T(x,T(y,z)).
T(x \ (y \ x),K(x,z)) = T(x \ (x / y),T(x,z)).
T(x \ (x / y),T(x,z)) = T(x \ (y \ x),K(x,z)).
T(T(x,y),K(z,y)) = T(x,T(y,z \ y)).
T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u.
T(x,T(y,z)) = T(x,T(y,z \ y)).
T(x,T(y,z \ y)) = T(x,T(y,z)).
T(x,T(y,z \ y)) != u | T(x,T(y,z \ 1)) = u.
T(x,T(y,z \ 1)) = T(x,T(y,z)).
T(x,y * (z / y)) = T(x,T(z,y)).
T(x,y) = T(x,T(T(y,z),z)).
T(x,T(T(y,z),z)) = T(x,y).
K(x,y) * T(x,z) = T(T(x,y),T(z,y)).
T(T(x,y),T(z,y)) = K(x,y) * T(x,z).
x != K(y,z) * T(y,u) | T(y,z) * K(y,u) = x.
T(x,y) * K(x,z) = T(T(x,y),T(z,y)).
T(T(x,y),T(z,y)) = T(x,y) * K(x,z).
K(T(x,y),T(z,y)) = K(x,z).
T(x,y) * z != T(T(x,y),u) | K(x,T(u,y)) = z.
K(x,T(T(y,z),z)) = K(x,y).
K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w).
K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)).
K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)).
K(x \ y,T(z,x)) = K(y / x,z).
x * K(y,z) = K(y,T(z,x)) * x.
K(x,T(y,z)) * z = z * K(x,y).
K(x,T(y \ z,y)) = K(x,z / y).
K(x,T(y \ z,z)) = K(x,z / y).
K(x \ y,x) = K(y / x,x).
K(x / y,y) = K(y \ x,y).
K(L(x,y,z) \ u,x) = K(u / L(x,y,z),x).
K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y).
K(T(x,y),z) * (y * K(z,x)) = y.
(x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y).
R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u).
x * (y * K(x,z)) = T(x,T(z,y)) * y.
T(x,T(y,z)) * z = x * (z * K(x,y)).
L(x,y,z) = (y * z) \ (z * (K(y,z) * (y * x))).
K(x,x * y) * (a(z,u,z) * w) = K(x,y) * w.
K((x \ y) \ 1,z) != u | K(y \ x,z) = u.
L(x,y,z) = (y * z) \ (z * (T(y,z) * x)).
x != (y * z) \ (z * (T(y,z) * u)) | L(u,T(y,z),z) = x.
L(x,T(y,z),z) = L(x,y,z).
K(x,x * y) * (z * a(u,w,u)) = K(x,y) * z.
x != K(y,z) \ u | K(z,y) * u = x.
K(x,y \ 1) * (y \ z) = (y * K(y \ 1,x)) \ z.
(x * K(x \ 1,y)) \ z = K(y,x \ 1) * (x \ z).
((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)).
(x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1).
K(x,y) * z != u | K(x,x * y) * (z * a(w,v5,w)) = u.
K(x,x * y) * ((R(y,z,u) * x) * a(w,v5,w)) = R(y,z,u) * T(x,y).
(x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x).
K(x,x * y) * ((L(y,z,u) * x) * a(w,v5,w)) = L(y,z,u) * T(x,y).
(x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(w \ (w / L(z,y,x)),u).
K(1 / (x / y),z) = (x * T(x \ y,z)) / y.
(x * T(x \ y,z)) / y = K(1 / (x / y),z).
(((x * y) * z) * T(((x * y) * z) \ (y * z),u)) / (y * z) = K(1 / R(x,y,z),u).
K(x \ 1,((y * x) \ y) \ y) * ((((y * x) \ y) \ y) * (x \ 1)) = (y * x) * (x \ 1).
R(x,y \ z,z \ y) \ ((z \ y) * ((y \ z) * x)) = (y \ z) * (z \ y).
x != (y * (z / u)) * u | R(y,z / u,u) * z = x.
R(x,y / z,z) * y = (x * (z \ y)) * T(z,z \ y).
(x * (y \ z)) * T(y,y \ z) = R(x,z / y,y) * z.
K(x,T(y,z)) * K(z,T(x,y)) = K(x,y) * K(z,x).
L(x,y,K(y \ 1,z)) != u | x = u.
x \ (K(y,x \ 1) * z) = (K(x \ 1,y) * x) \ z.
(K(x \ 1,y) * x) \ z = x \ (K(y,x \ 1) * z).
(x * K(x \ 1,y)) \ z = x \ (K(y,x \ 1) * z).
(x * K(x \ 1,y)) \ z != u | K(y,x \ 1) * (x \ z) = u.
K(x,y \ 1) * (y \ z) = y \ (K(x,y \ 1) * z).
x \ (K(y,x \ 1) * z) = K(y,x \ 1) * (x \ z).
x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z.
K(x,L(y \ z,u,w) \ 1) != v5 | L(K(x,z \ y),u,w) = v5.
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).
L(K(x,y),z,u) = K(x,(u * (z / y)) \ (u * z)).
K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y).
L(K(x,y),x,z) != u | K(x,y) = u.
K(x,(y \ z) \ x) = K(x,z \ (y * x)).
K(x,K(y,z \ (u * y))) = K(x,K(u \ z,y)).
x != K(y,K(z \ u,w)) | K(y,K(w,u \ z)) = x.
K(x,K(y,z \ u)) = K(x,K(y,z \ (u * y))).
K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)).
K(x,L(y,z / y,u)) = L(K(x,y),z,u).
K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5.
K(x,L(y,z / T(y,u),w)) = L(K(T(x,u),T(y,u)),z,w).
L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)).
K(x,L(y,z,y)) != u | K(x,y) = u.
K(x,y) = L(K(x,y),z,y).
L(K(x,y),z,y) = K(x,y).
a(x,y,K(z,x)) = 1.
(x * y) * K(z,x) = x * (y * K(z,x)).
a(x,y,K(x,z)) = 1.
L(K(x,y),z,x) = K(x,y).
a(x * y,z,K(y,x)) = 1.
L(K(x,(y \ z) \ u),u,y) != w | K(x,z \ (y * u)) = w.
K(x,y \ (x * z)) = K(x,(x \ y) \ z).
K(x,(x \ y) \ z) = K(x,y \ (x * z)).
x \ K(x,y) = (x \ 1) * K(x,y).
(x \ 1) * K(x,y) = x \ K(x,y).
L(K(x,y),z,y * x) = K(x,y).
(x \ K(x,y)) * y = y * (x \ 1).
T(x \ K(x,y),y) = x \ 1.
R(x,y,K(z,x)) = x.
R(x,y,K(x \ 1,z)) = x.
R(T(x,y),z,K(x \ 1,u)) = T(x,y).
K(x,(x \ 1) \ y) = K(x,x * y).
R(x,y \ z,T(y,y \ z)) = R(x,z / y,y).
L(K(x,y),z,x) != u | K(x,y) = u.
K(x,y \ (x \ z)) = K(x,(x * y) \ z).
K(x,(x * y) \ z) = K(x,y \ (x \ z)).
L(K(x,x * (y \ z)),y \ z,y) = K(x,(y * (x \ 1)) \ z).
K(x,(x * y) \ z) != u | (y * ((x \ (y \ z)) * x)) \ z = u.
(x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)).
x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y).
K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z).
K(x,y \ x) * ((x \ K(x,y)) * z) = (x \ 1) * z.
K(x,y) * ((y \ K(y,x)) * z) = (y \ 1) * z.
x * (y * T(K(z,1 / z),u)) != w * T(K(z,1 / z),v5) | w / y = x.
(x \ 1) / (x \ K(x,y)) = K(y,x).
K(x,y) * (z * (y \ K(y,x))) = (y \ 1) * T(z,y \ K(y,x)).
x \ (y * (z \ T(z * (y \ x),u))) = K((y * (z \ 1)) \ x,u).
(x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u).
((x \ y) * (y \ x)) \ z = ((y \ x) * (x \ y)) \ z.
((x \ y) * (y \ x)) \ z != u | ((y \ x) * (x \ y)) \ z = u.
T(((x \ y) * (y \ x)) \ z,((y \ x) * (x \ y)) \ 1) = z / ((y \ x) * (x \ y)).
K(x,T(y,z)) * K(z,T(x,y)) = (y * T(x,z)) \ (x * y).
L(K(x,y),z,u) = K(x,L(y,z / T(y,w),u)).
K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w).
K(x,L(y,z,u)) = L(K(x,y),y * z,u).
L(K(x,y),y * z,u) = K(x,L(y,z,u)).
K(x,y) = K(x,L(y,z,x)).
K(x,L(y,z,x)) = K(x,y).
x != K(y,z) | 1 / K(z,y) = x.
1 / K(x,y) = K(y,L(x,z,y)).
K(x,L(y,z,x)) = 1 / K(y,x).
K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)).
1 / x != K(y,z) | K(z,y) = x.
K(L(x,y,z),z) = K(x,z).
K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z).
K((x * y) \ z,x) = K(y \ (x \ z),x).
K(x * y,x) = K((x \ 1) \ y,x).
K((x \ 1) \ y,x) = K(x * y,x).
K(x \ (y * z),y) = K((y \ x) \ z,y).
K((x \ y) \ z,x) = K(y \ (x * z),x).
T(x,L(y,z,x)) = x / K(y,x).
x != y / K(z,y) | T(y,z) = x.
T(x,y) = T(x,L(y,z,x)).
T(x,L(y,z,x)) = T(x,y).
T(x,y \ (x * z)) = T(x,(x \ y) \ z).
T(x,(x \ y) \ z) = T(x,y \ (x * z)).
K(x,T(y,z)) * K(z,T(x,y)) != u | K(x,y) * K(z,x) = u.
K(x,y) * K(z,x) = (y * T(x,z)) \ (x * y).
(x * T(y,z)) \ (y * x) = K(y,x) * K(z,y).
T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)).
T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u.
K(x * R(y,z,u),y) * T(y,x) = R(y,x,R(y,z,u)).
x \ R(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y).
K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)).
T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z).
x != K(T(y,z),u) | K(y,T(u,z)) = x.
K(x,T(y,z)) = K(R(x,z,R(x,u,w)),T(y,z * R(x,u,w))).
K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)).
((x * y) * z) / (y * z) = R(x,y,T(z,y)).
R(x,y,z) = R(x,y,T(z,y)).
R(x,y,T(z,y)) = R(x,y,z).
R(x,y,T(z,y)) != u | R(x,y,z) = u.
R(T(x / y,T(z,y)),y,T(y \ z,y)) != u | T(z,y) \ (x * (y \ T(z,y))) = u.
T(x,y) \ (z * (y \ T(x,y))) = R(T(z / y,T(x,y)),y,y \ x).
R(T(x / y,T(z,y)),y,y \ z) = T(z,y) \ (x * (y \ T(z,y))).
R(x,y,y \ z) = R(x,y,z / y).
R(x,y,z / y) = R(x,y,y \ z).
R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u.
(x * (y / x)) \ (z * (y / x)) = R(T(z / x,x * (y / x)),x,x \ y).
R(T(x / y,y * (z / y)),y,y \ z) = (y * (z / y)) \ (x * (z / y)).
R(x,y / z,z) != u | R(x,z \ y,z) = u.
K(x,y) * K(y,z) != u | (y * x) \ (x * T(y,z)) = u.
(x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)).
((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y).
K(R(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z.
((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w.
R(K(x,y),x * z,u) = K(R(x,z,u),y).
R(K(x,y),z,u) = K(R(x,x \ z,u),y).
K(R(x,x \ y,z),u) = R(K(x,u),y,z).
x != R(y,1,z) | y = x.
K(x,y) = K(R(x,x \ 1,z),y).
K(R(x,x \ 1,y),z) = K(x,z).
K(R(x,y,x),z) != u | K(x,z) = u.
K(x,y) = R(K(x,y),z,x).
R(K(x,y),z,x) = K(x,y).
K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z.
K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y).
(x * R(K(y,z),u,w)) \ x != v5 | K(z,R(y,y \ u,w)) = v5.
K(x,y) * (z * x) = (K(x,y) * z) * x.
(K(x,y) * z) * x = K(x,y) * (z * x).
L(x,y,K(x,z)) = x.
L(x,y,K(z,x)) = x.
K(x,y) = L(K(x,y),z,K(u,y)).
L(K(x,y),z,K(u,y)) = K(x,y).
K((x * y) / z,u) = R(K(x / (z / y),u),x,y).
R(K(x / (y / z),u),x,z) = K((x * z) / y,u).
((x * y) * z) / ((T(x,u) * y) * z) = K(u,R(x,y,z)).
K(x,y) * (T(x,z) * u) = (K(x,y) * T(x,z)) * u.
(K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u).
(K(x,y) * T(x,z)) * u = K(x,z) * (T(x,y) * u).
K(x,y) * z = (K(x,u) * T(x,y)) * (T(x,u) \ z).
(K(x,y) * T(x,z)) * (T(x,y) \ u) = K(x,z) * u.
(K(x,y) * T(x,z)) * u != w | K(x,y) * (T(x,z) * u) = w.
K(x,y) * (T(x,z) * (T(x,y) \ u)) = K(x,z) * u.
K(x,y) * (K(y,z) * u) = T(y,z) * (T(y,x) \ u).
T(x,y) * (T(x,z) \ u) = K(z,x) * (K(x,y) * u).
T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w.
K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u).
K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z.
((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)).
K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u).
((x / y) * L(y,z,u)) * T(y,w) != v5 | (x * L(y,z,u)) * K(y,w) = v5.
(x * L(y,z,u)) * K(y,w) = (x * K(y,w)) * L(y,z,u).
((x * K(y,z)) * L(y,u,w)) \ (x * L(y,u,w)) = K(z,y).
(x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) = K(z,y).
((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)).
((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z).
(x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z).
((x * y) * K(y \ 1,z)) / y = x * K(y \ 1,z).
(x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y.
T(x,y) = R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)).
R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y).
R(T(x,y),z,K(x \ 1,u)) != w | T(x,y) = w.
T(x,y * K(x \ 1,z)) = T(x,y).
K(x * K(y \ 1,z),y) = y / T(y,x).
T(x,y * K(z,x)) = T(x,y).
T(x,y * K(x,z)) = T(x,y).
x * K(x,y) = T(x,y * K(x,z)).
T(x,y * K(x,z)) = x * K(x,y).
K(T(x,y),z) = K(x,T(z,y * K(x,u))).
K(x,T(y,z * K(x,u))) = K(T(x,z),y).
T(x,y * (z / x)) = T(x,y * (x \ z)).
K(x,y * K(x,z)) = K(x,y).
K(x,y * K(z,x)) = K(x,y).
K(x,T(y,x \ y)) = K(x,y).
K(x,K(x,y) * z) = K(x,z).
K(x,y) = K(x,K(z,x) * y).
K(x,K(y,x) * z) = K(x,z).
K(x,y / T(z,x)) = K(x,y / z).
K(x,y \ T(z,x)) = K(x,y \ z).
K(x,T(y,x) / z) = K(x,y / z).
K(x,y / (z / x)) = K(x,y / (x \ z)).
K(x,y) = K(x,K(x,z) \ y).
K(x,K(x,y) \ z) = K(x,z).
K(x,T(y,x) \ z) = K(x,y \ z).
K(x,(y * x) \ z) = K(x,(x * y) \ z).
K(x,R(K(y,x),z,u) * w) = K(x,w).
x / K(y,x) = K(y,z) * T(K(y,z) \ x,y).
K(x,y / (z * x)) = K(x,y / (x * z)).
K(x,y / ((x \ z) * x)) = K(x,y / z).
K(x,y \ T(z * u,z)) != w | K(x,y \ (u * z)) = w.
K(x,y \ (z * x)) = K(x,y \ (x * z)).
K(x,y \ (x \ (z * x))) = K(x,y \ z).
K(x,(x \ y) / z) = K(x,(y / x) / z).
K(x,(y / x) / z) = K(x,(x \ y) / z).
K(x,((y \ x) \ x) \ z) = K(x,y \ z).
x != y / T(y,z) | K(z,y) = x.
K(x,y) = K(x * K(y \ 1,z),y).
K(x * K(y \ 1,z),y) = K(x,y).
K(x * K(y,z),z) = K(x,z).
K(x \ T(y,z),z) = K(x \ y,z).
K(x * K(y,z),y) = K(x,y).
K(K(x,y) * z,x) = K(z,x).
R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)).
K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z).
K(K(x,y) * z,T(x,u)) = K(z,T(x,u)).
K(x \ T(y * z,y),u) != w | K(x \ (z * y),u) = w.
K(x \ (y * z),z) = K(x \ (z * y),z).
K(x \ (y \ (z * y)),y) = K(x \ z,y).
K(x \ ((y \ z) * y),y) = K(x \ z,y).
K(x,T(y,z)) = K(x,T(y,z * K(x,u))).
K(x,T(y,z * K(x,u))) = K(x,T(y,z)).
x != K(y,(y * z) \ u) | K(y,z \ (y \ u)) = x.
K(x,y \ (x \ z)) = K(x,(y * x) \ z).
K(x,(y * x) \ z) = K(x,y \ (x \ z)).
K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)).
K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)).
x != K(y,z \ (y * u)) | K(y,(y \ z) \ u) = x.
K(x,(x \ y) \ z) = K(x,y \ (z * x)).
K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)).
x != K(y \ (z * u),z) | K((z \ y) \ u,z) = x.
K((x \ y) \ z,x) = K(y \ (z * x),x).
a(x,y,x) = K(z,z \ (u \ (z * w))) * K(u \ (w * z),z).
K(x,T(y,z * (u / x))) = K(x,T(y,z * (x \ u))).
K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))).
K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)).
K(x,y) = K(x,z \ (((x \ z) * y) * x)).
K(x,y \ (((x \ y) * z) * x)) = K(x,z).
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u).
T(x,(x \ y) \ z) = K(y \ (z * x),x) \ x.
K(x \ (y * z),z) \ z = T(z,(z \ x) \ y).
T(x,y) = K(y,z) * T(K(y,z) \ x,y).
K(x,y) * T(K(x,y) \ z,x) = T(z,x).
K(x,y) * T(z,x) = T(K(x,y) * z,x).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
(x * T(x \ y,z)) / y = K(y / (x * K(z,u)),z).
K(x / (y * K(z,u)),z) = (y * T(y \ x,z)) / x.
x \ (y * T(y \ x,z)) = K((y * K(z,u)) \ x,z).
K((x * K(y,z)) \ u,y) = u \ (x * T(x \ u,y)).
(x * T(x \ y,z)) \ y = K(z,(x * K(z,u)) \ y).
K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u.
T(T(x,y) * z,x) = K(x,y) * T(x * z,x).
K(x,y) * T(x * z,x) = T(T(x,y) * z,x).
K(x,T(y,z)) * a(u,w,u) = K(y * x,T(y,z)).
K(x * y,T(x,z)) = K(y,T(x,z)) * a(u,w,u).
T(x,y \ (z * x)) = T(x,(x \ y) \ z).
T(x,(x \ y) \ z) = T(x,y \ (z * x)).
T(x,(x \ y) \ z) != u | T(x,y \ (x * z)) = u.
T(x,y \ (x * z)) = T(x,y \ (z * x)).
T(x,y \ (z * x)) = T(x,y \ (x * z)).
T(x,y \ ((x \ z) * x)) = T(x,y \ z).
K(x,y) * (z * x) = T(T(x,y) * z,x).
T(T(x,y) * z,x) = K(x,y) * (z * x).
T((x \ 1) * y,x \ K(x,z)) = K(x \ K(x,z),z) * (y * (x \ K(x,z))).
K(x \ K(x,y),y) * (z * (x \ K(x,y))) = T((x \ 1) * z,x \ K(x,y)).
K(x,R(y / x,z,u)) != w | K(x,R(x \ y,z,u)) = w.
K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)).
x != K(y,T(z,u)) * a(w,v5,w) | T(z,T(y,u)) \ R(z,v6,z) = x.
T(x,T(y,z)) \ R(x,u,x) = K(x * y,T(x,z)).
x != K(y,T(z,u)) | T(K(y,z),u) = x.
T(K(x * y,x),z) = T(x,T(y,z)) \ R(x,u,x).
T(x,T(y,z)) \ R(x,u,x) = T(K(x * y,x),z).
T(x,T(y,z)) \ R(x,u,x) = T(K(y * x,x),z).
x != (y * T(y \ z,u)) / z | K(z / y,u) = x.
K(x / y,z) = K(x / (y * K(z,u)),z).
K(x / (y * K(z,u)),z) = K(x / y,z).
K(x / y,z) = K(x / (K(u,z) * y),z).
K(x / (K(y,z) * u),z) = K(x / u,z).
x / (K(y / z,u) * x) = K(u,y / (K(w,u) * z)).
K(x,y / (K(z,x) * u)) = w / (K(y / u,x) * w).
x != y \ (z * T(z \ y,u)) | K(z \ y,u) = x.
K(x \ y,z) = K((x * K(z,u)) \ y,z).
K((x * K(y,z)) \ u,y) = K(x \ u,y).
K(x \ y,z) = K((K(u,z) * x) \ y,z).
K((K(x,y) * z) \ u,y) = K(z \ u,y).
K((x * ((y * z) / y)) \ u,y) = K((x * z) \ u,y).
K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u).
K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u).
K((x / y) \ z,x) = K((y \ x) \ z,x).
x != (y * T(y \ z,u)) \ z | K(u,y \ z) = x.
K(x,y \ z) = K(x,(y * K(x,u)) \ z).
K(x,(y * K(x,z)) \ u) = K(x,y \ u).
K(x,(K(x,y) * z) \ u) = K(x,z \ u).
K(x,y \ z) = K(x,(K(u,x) * y) \ z).
K(x,(K(y,x) * z) \ u) = K(x,z \ u).
K(x,(y * (x * z)) \ u) = K(x,(y * (z * x)) \ u).
K(x,(y * (z * x)) \ u) = K(x,(y * (x * z)) \ u).
x != y / (K(z,u) * y) | K(u,z) = x.
K(x,y / z) = K(x,y / (K(u,x) * z)).
K(x,y / (K(z,x) * u)) = K(x,y / u).
K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)).
K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)).
K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)).
K(x,(y * ((x \ z) * x)) \ u) = K(x,(y * z) \ u).
K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)).
x != K(y,L(T(z,y),u,w)) | K(y,L(z,u,w)) = x.
K(x,L(y,x,z)) = K(x,z \ (x \ (z * (y * x)))).
K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)).
((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y).
x != y \ (((z \ (y / u)) * z) * u) | K((y \ (z * u)) \ 1,z) = x.
K((x \ (y * z)) \ 1,y) = K((x \ (y / (z \ 1))) \ 1,y).
K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y).
K((x / (y \ 1)) \ z,x) = K((z \ (x * y)) \ 1,x).
K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y).
K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x).
K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x).
K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u.
K(((x \ 1) \ y) \ z,y) = K((y * x) \ z,y).
x != K((y * z) \ u,y) | K(z \ (y \ u),y) = x.
K(x \ (y \ z),y) = K(((x \ 1) \ y) \ z,y).
K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y).
K((((x \ 1) \ 1) \ y) \ z,u) != w | K((x \ y) \ z,u) = w.
K((x \ y) \ z,y) = K((x \ 1) \ (y \ z),y).
K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y).
K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u.
K((x \ 1) \ y,z) = K((x \ z) \ (y * z),z).
K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y).
T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)).
x != 1 / (y \ K(z,y)) | T(y,z) = x.
T(x,(y \ 1) \ z) = T(x,(y \ x) \ (z * x)).
T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z).
T(x,y \ ((x \ z) * x)) != u | T(x,y \ z) = u.
T(x,(y \ x) \ z) = T(x,(y \ 1) \ (x \ z)).
T(x,(y \ 1) \ (x \ z)) = T(x,(y \ x) \ z).
K(x,(y \ 1) \ (x \ z)) = x \ T(x,(y \ x) \ z).
x != y \ T(y,z) | K(y,z) = x.
K(x,(y \ x) \ z) = K(x,(y \ 1) \ (x \ z)).
K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z).
K(x,(y \ 1) \ z) = K(x,(y \ x) \ (x * z)).
K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z).
K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w.
K(x,(y * z) \ u) = K(x,(y * (K(w,x) * z)) \ u).
K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w).
K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)).
K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)).
K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5.
((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u.
(x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u).
K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z).
((x / y) * (x \ 1)) \ K(x,x / y) = L(y,x / y,x \ 1).
((x / y) * (x \ 1)) \ K(y,x) = L(y,x / y,x \ 1).
x != ((y * z) * u) / ((T(y,w) * z) * u) | K(w,R(y,z,u)) = x.
K(x,R(y,z,u)) = R(K(x,y),T(y,x) * z,u).
R(K(x,y),T(y,x) * z,u) = K(x,R(y,z,u)).
R(K(x,y),z,x) != u | K(x,y) = u.
K(x,y) = K(x,R(y,z,x)).
K(x,R(y,z,x)) = K(x,y).
K(x,K(y,R(x,z,u)) * w) = K(x,w).
K(x,y / (z * x)) = K(x,(y / x) / z).
K(x,(y / x) / z) = K(x,y / (z * x)).
K(x,(y * x) / z) = K(x,y / (z / x)).
K(x,y * K(z,R(x,u,w))) = K(x,y).
K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)).
K(x,(y / x) / z) != u | K(x,(x \ y) / z) = u.
K(x,(x \ y) / z) = K(x,y / (z * x)).
x != K(y,z / (u / y)) | K(y,z / (y \ u)) = x.
K(x,y / (x \ z)) = K(x,(y * x) / z).
K(x,(y * x) / z) = K(x,y / (x \ z)).
x != K(y,z / ((y \ u) * y)) | K(y,z / u) = x.
K(x,y / z) = K(x,(x \ y) / (x \ z)).
K(x,(x \ y) / (x \ z)) = K(x,y / z).
K(x,y / (x \ z)) = K(x,(x * y) / z).
K(x,(x * y) / z) = K(x,y / (x \ z)).
(T(x,y) * K(z,K(x,y))) \ R(x,u,x) = T(K(y * x,x),z).
x \ R(y,z,y) != T(K(u * y,y),w) | T(y,T(u,w)) = x.
T(x,T(y,z)) = T(x,y) * K(z,K(x,y)).
T(x,y) * K(z,K(x,y)) = T(x,T(y,z)).
T(x,y) * K(K(x,y),z) = T(x,T(y,z)).
K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)).
K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))).
K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)).
R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u).
x != R(y * K(z,y),u,w) \ R(y,u,w) | K(R(y,u,w),z) = x.
K(R(x,y,z),u) = K(R(x,y,z),u * K(x,w)).
K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u).
K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u).
(R(T(x,y),z,u) * K(x,w)) * v5 != v6 | (K(x,w) * R(T(x,y),z,u)) * v5 = v6.
(K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5).
T(x * (y \ 1),K(y,y \ z)) = (y \ 1) * T(x,y \ K(y,z)).
T(x * (y \ 1),K(y,z)) = (y \ 1) * T(x,y \ K(y,z)).
(x \ 1) * T(y,x \ K(x,z)) = T(y * (x \ 1),K(x,z)).
(x \ 1) * T(y,x \ K(x,z)) != u | K(z,x) * (y * (x \ K(x,z))) = u.
K(x,y) * (z * (y \ K(y,x))) = T(z * (y \ 1),K(y,x)).
(x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1).
x != K(y,(z / u) \ 1) | K(y,u / z) = x.
K(x,y / (z * x)) = (z * (x * ((z \ y) / x))) / y.
(x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)).
R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y.
T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z).
R(K(x,y),R(T(x,z),u,w),v5) = (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)).
(K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5).
T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u.
(x \ y) * (y \ x) = T((x \ y) * (y \ x),z).
T((x \ y) * (y \ x),z) = (x \ y) * (y \ x).
K((x \ y) * (y \ x),z) = 1.
T(x,(y \ z) * (z \ y)) = x.
K(x * ((y * x) \ y),z) = 1.
T(x,((y \ z) * (z \ y)) \ 1) = x.
T(x * ((y * x) \ y),z) = x * ((y * x) \ y).
x \ ((x * y) * (y \ (y * ((x * y) \ x)))) = K(((x * y) * (y \ 1)) \ x,z).
K(((x * y) * (y \ 1)) \ x,z) = x \ ((x * y) * (y \ (y * ((x * y) \ x)))).
(x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u.
T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u).
L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y).
L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x.
T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x.
K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(x,y).
K(x,y) * T(x * z,x) != u | T(T(x,y) * z,x) = u.
T(T(x,x * y) * R(y,z,u),x) = R(y,z,u) * T(x,y).
K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y).
T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y).
(x / y) \ ((y \ x) * ((x \ y) * (x / y))) = (x \ y) * (y \ x).
R(T(x / y,T(z,y)),y,y \ z) = (y * (z / y)) \ (x * (z / y)).
R(T(x / y,T(z,y)),y,y \ z) != u | T(z,y) \ (x * (y \ T(z,y))) = u.
T(x,y) \ (z * (y \ T(x,y))) = (y * (x / y)) \ (z * (x / y)).
(x * (y / x)) \ (z * (y / x)) = T(y,x) \ (z * (x \ T(y,x))).
(x * (y / x)) \ (z * (y / x)) = T(y,x) \ (z * T(x \ y,x)).
(T(x,y) * ((y \ x) / T(x,y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))).
T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w).
x != T(y,z) * L(y \ T(z,y),u,w) | T(y * L(y \ z,u,w),z) = x.
T(x * L(x \ y,z,u),y) = T(T(x,y) * L(x \ y,z,u),x).
T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y).
T(T(x,x * y) * L(y,z,u),x) = T(x * L(x \ (x * y),z,u),x * y).
T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x).
T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w).
x != T(y,y * z) * R(y \ T(y * z,y),u,w) | T(y * R(z,u,w),y * z) = x.
T(x * R(y,z,u),x * y) = T(T(x,x * y) * R(x \ (x * y),z,u),x).
T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y).
T(x \ y,z \ (x \ y)) * (y \ x) = T(y \ x,z) * (x \ y).
x != T(y \ z,u) * (z \ y) | (z \ y) * T(y \ z,u) = x.
(x \ y) * T(y \ x,z) = T(x \ y,z \ (x \ y)) * (y \ x).
T(x \ y,z \ (x \ y)) * (y \ x) = (x \ y) * T(y \ x,z).
T(x \ y,z \ 1) * (y \ x) = (x \ y) * T(y \ x,z).
T(x \ y,z) * (y \ x) != u | (y \ x) * T(x \ y,z) = u.
(x \ y) * T(y \ x,z \ 1) = (y \ x) * T(x \ y,z).
(x \ y) * (x / y) = (y \ x) * T(x \ y,x).
(x \ y) * T(y \ x,y) = (y \ x) * (y / x).
(x * (y * ((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 * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u.
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 * ((x \ z) * x)) \ u) != w | K(x,(y * z) \ 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 * (z * x)) \ u) != w | K(x,(y * (x * z)) \ u) = w.
K(x,(y * (x * z)) \ 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).
K(x,y \ (x \ (z * x))) != u | K(x,y \ z) = u.
K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)).
K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)).
K(x,(y * (x \ z)) \ u) != w | L(K(x,z \ ((y \ u) * x)),y \ u,y) = w.
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)).
K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)).
K(x,(y * (x \ 1)) \ z) != u | L(K(x,x * (y \ z)),y \ z,y) = u.
L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)).
K(x,(y * z) \ (u * x)) \ 1 = K((y * (z / x)) \ u,x).
K(x,K(y,(z * u) \ (y * y))) = K(x,K(z * (u / y),y)).
L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w).
K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u).
K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z).
K((x * ((y * z) / y)) \ u,y) != w | K((x * z) \ u,y) = w.
K((x * y) \ z,u) = K((x * (u * y)) \ (z * u),u).
K((x * (y * z)) \ (u * y),y) = K((x * z) \ u,y).
K(x \ y,z) = K((x * z) \ (y * z),z).
K((x * y) \ (z * y),y) = K(x \ z,y).
K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u.
K((x * y) \ z,y) = K(x \ (y \ z),y).
K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y).
K((x * y) \ (z * u),u) = K((x * (u \ y)) \ z,u).
K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y).
K(x \ (y * z),z) = K((x * (z \ 1)) \ y,z).
K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y).
(K((x * y) \ (z * u),u) * w) \ w = K(u,T((x * (u \ y)) \ z,w)).
K(x,K(y,z \ (u * y))) != w | K(x,K(y,z \ u)) = w.
K(x,K(y,(z * u) \ y)) = K(x,K(z * (u / y),y)).
K(x,K(y * (z / u),u)) = K(x,K(u,(y * z) \ u)).
x != K(y,K(z,u \ z)) | K(y,K(u,z)) = x.
K(x,K(y * z,u)) = K(x,K(y * (z / u),u)).
K(x,K(y * (z / u),u)) = K(x,K(y * z,u)).
K(x,y) * K(x,K(z * u,y)) = K(x,T(y,z * (u / y))).
K(x,y) * K(x,K(z,y)) != u | K(x,T(y,z)) = u.
K(x,T(y,z * u)) = K(x,T(y,z * (u / y))).
K(x,T(y,z * (u / y))) = K(x,T(y,z * u)).
K(x,T(y,z * (y \ u))) = K(x,T(y,z * u)).
x / (K(y,T(z,u * w)) * x) = K(T(z,u * (z \ w)),y).
K(T(x,y * (x \ z)),u) = w / (K(u,T(x,y * z)) * w).
K(T(x,y * z),u) = K(T(x,y * (x \ z)),u).
K(T(x,y * (x \ z)),u) = K(T(x,y * z),u).
K(x,T(y,z * u)) = K(T(x,z * (x \ u)),y).
K(T(x,y * (x \ z)),u) = K(x,T(u,y * z)).
K(T(x,y),z) != u | K(x,T(z,y)) = u.
K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)).
K(x,T(y,z * (x \ u))) != w | K(x,T(y,z * (u / x))) = w.
K(x,T(y,z * (u / x))) = K(x,T(y,z * u)).
K(x,T(y \ z,y)) != u | K(x,z / y) = u.
K(x,y / (z * (x \ u))) = K(x,T((z * (x \ u)) \ y,z * u)).
K(x,T((y * (x \ z)) \ u,y * z)) = K(x,u / (y * (x \ z))).
K(x,T((y * z) \ (u * x),w)) = K(x,T((y * (x \ z)) \ u,w)).
K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)).
K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w.
K(x,y / (z * (x \ u))) = K(x,T((z * u) \ (y * x),z * u)).
K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))).
K(x,K(y,x) \ y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)).
K(((x * y) * (y \ 1)) \ x,z) = x \ ((x * y) * ((x * y) \ x)).
x != y \ (z * (z \ y)) | 1 = x.
1 = K(((x * y) * (y \ 1)) \ x,z).
K(((x * y) * (y \ 1)) \ x,z) = 1.
T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x).
T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y).
T(T(x,x * y) * L(y,z,u),x) != w | L(y,z,u) * T(x,y) = w.
L(x,y,z) * T(u,x) = T(u * L(x,y,z),u * x).
T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y).
K(x * y,x * L(y,z,u)) = (L(y,z,u) * T(x,y)) \ (x * L(y,z,u)).
(L(x,y,z) * T(u,x)) \ (u * L(x,y,z)) = K(u * x,u * L(x,y,z)).
K(x * L(y,z,u),x * y) = (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)).
(x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y).
(x * T(y,z)) \ (y * x) != u | K(y,x) * K(z,y) = u.
K(x,L(y,z,u)) * K(y,x) = K(x * y,x * L(y,z,u)).
K(x * y,x * L(y,z,u)) = K(x,L(y,z,u)) * K(y,x).
(x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u.
K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y).
K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x).
T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y).
T(T(x,x * y) * R(y,z,u),x) != w | R(y,z,u) * T(x,y) = w.
R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x).
T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y).
K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)).
(x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)).
K(x,K(x,y) * y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)).
K(x,y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)).
T((x \ 1) * y,x \ K(x,z)) = K(z,x) * (y * (x \ K(x,z))).
x != K(y,z) * (u * (z \ K(z,y))) | T(u * (z \ 1),K(z,y)) = x.
T(x * (y \ 1),K(y,z)) = T((y \ 1) * x,y \ K(y,z)).
T((x \ 1) * y,x \ K(x,z)) = T(y * (x \ 1),K(x,z)).
T((x \ 1) * (x / y),x \ K(x,y)) != z | (x / y) * (x \ 1) = z.
(x / y) * (x \ 1) = T((x / y) * (x \ 1),K(x,y)).
T((x / y) * (x \ 1),K(x,y)) = (x / y) * (x \ 1).
K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u.
x * (y * z) != (u * y) * z | R(u,y,z) = x.
R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1).
x * (y * z) != (K(y,u) * y) * z | K(y,u) = x.
K(x,y \ 1) = K(x,R(y,x,z) \ 1).
K(x,R(y,x,z) \ 1) = K(x,y \ 1).
K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1).
R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1).
K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u).
R(K(x,y / z),u,w) = K(x,R(z / y,u,w) \ 1).
K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w).
K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1).
K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1).
a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)).
((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z).
x != R(y,z,u) * T(z * u,w) | ((y * z) * u) * K(z * u,w) = x.
((x * y) * z) * K(y * z,x) = ((y * z) * x) * a(x,y,z).
L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * y) \ (u * x)) = w.
K(x,(y * (z * u)) \ (w * x)) = K(x,(y * (z * (u / x))) \ w).
K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)).
K(x,((x * y) * z) / ((u * y) * z)) = K(x,R(u / x,x * y,z) \ 1).
K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)).
K(x,R(y / z,u,w) \ 1) != v5 | R(K(x,z / y),u,w) = v5.
R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)).
R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)).
R(K(x,y),x * z,u) != w | K(R(x,z,u),y) = w.
K(R(x,y,z),u \ x) = K(x,((x * y) * z) / ((u * y) * z)).
K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x).
K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x).
K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)).
K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x).
K(R(x,x \ y,z),u) != w | R(K(x,u),y,z) = w.
R(K(x,y \ x),z,u) = K(x,(z * u) / ((y * (x \ z)) * u)).
K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z).
K(x,y) * (L(K(y,x),z,u) * w) = (K(x,y) * L(K(x,y) \ 1,z,u)) * w.
(K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w).
(K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w).
T(x,((y \ z) * (z \ y)) \ 1) != u | x = u.
((x \ y) * (y \ x)) \ z = z / ((y \ x) * (x \ y)).
x / ((y \ z) * (z \ y)) = ((z \ y) * (y \ z)) \ x.
(x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)).
a(x,y,R(x,z,u)) = x \ R(x,y,R(x,z,u)).
x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)).
x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w.
K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)).
K(R(x,y,z) * u,x) * K(x,u) = a(x,u,R(x,y,z)).
K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u.
K(x,y) * K(R(x,z,u) * y,x) = a(x,y,R(x,z,u)).
a(x,y,R(x,z,u)) != K(x,y) * w | K(R(x,z,u) * y,x) = w.
K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5.
L(K(x,T(y,x \ y)) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z).
((x * y) * z) * T(((x * y) * z) \ (y * z),u) = R(T(x,u),y,z) \ ((x * y) * z).
(((x * y) * T((x * y) \ y,z)) * u) / (y * u) = K(1 / R(x,y,u),z).
((x * K(T(y,x) \ 1,z)) * u) / (x * u) = K(1 / R(y,x,u),z).
((K(x \ 1,y) * z) * u) / (z * u) = K(1 / R(x,z,u),y).
R(K(x \ 1,y),z,u) = K(1 / R(x,z,u),y).
x != K(1 / y,z) | K(y \ 1,z) = x.
K(R(x,y,z) \ 1,u) = R(K(x \ 1,u),y,z).
R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
R(K(x,y),z,u) = K(R(x \ 1,z,u) \ 1,y).
K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z).
R(K(x,y),z,u) \ w = K(y,R(x \ 1,z,u) \ 1) * w.
K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w.
R(K(x,y),z,u) * w = R(K(y,x),z,u) \ w.
R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w.
x != y * 1 | y = x.
R(K(x,y),z,u) = R(K(y,x),z,u) \ 1.
R(K(x,y),z,u) \ 1 = R(K(y,x),z,u).
x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w).
R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w.
((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y).
R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1.
(x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w).
K(x,R(y,y \ z,u)) = R(K(x,y),z,u).
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).
K(x,R(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u.
R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)).
R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)).
K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z).
R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)).
K(x,(y * z) / u) = R(K(x,y / (u / z)),y,z).
R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z).
R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)).
R(K(x,y),x,z) != u | K(x,y) = u.
K(x,x / (y / z)) = K(x,(x * z) / y).
K(x,(x * y) / z) = K(x,x / (z / y)).
x != K(y,y / z) | K(y,z \ y) = x.
K(x,(y / z) \ x) = K(x,(x * z) / y).
K(x,(x * y) / z) = K(x,(z / y) \ x).
K(x,(x * y) / z) != u | K(x,y / (x \ z)) = u.
K(x,y / (x \ z)) = K(x,(z / y) \ x).
K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x).
K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y).
K(x,y / (x \ z)) != u | K(x,(y * x) / z) = u.
K(x,(y * x) / z) = K(x,(z / y) \ x).
K(x,y / z) != u | K(x,T(z \ y,z)) = u.
K(x,T(y \ (z * x),y)) = K(x,(y / z) \ x).
K(x,T((y * z) \ (u * x),y * z)) != w | K(x,u / (y * (x \ z))) = w.
K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x).
R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)).
R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)).
R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)).
x != K(T(y,z),R(T(u,z),w,v5)) | K(y,R(u,w,v5)) = x.
K(x,R(y,z,u)) = R(K(x,y),T(y,w) * z,u).
R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)).
R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)).
K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w).
R(K(x,y),z * y,u) = K(x,R(y,z,u)).
(x * R(K(y,z),u,w)) \ x = K(R(z,T(z,v5) \ u,w),y).
K(R(x,T(x,y) \ z,u),w) = (v5 * R(K(w,x),z,u)) \ v5.
K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y).
x != (y * R(K(z,u),w,v5)) \ y | R(K(u,z),w,v5) = x.
R(K(x,y),z,u) = K(R(x,T(x,w) \ z,u),y).
K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u).
K(x,(y \ z) \ x) != u | K(x,z \ (y * x)) = u.
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 * ((y * z) * u) != (K(z,y) * (y * z)) * u | K(z,y) = x.
K(x,y) = K(x,R(y,x,z)).
K(x,R(y,x,z)) = K(x,y).
K(x,R(x \ y,x,z)) != u | K(x,(y * z) / (z * x)) = u.
K(x,(y * z) / (z * x)) = K(x,x \ y).
T(x,R(y,x,z)) = x * K(x,y).
x != y * K(y,z) | T(y,z) = x.
T(x,y) = T(x,R(y,x,z)).
T(x,R(y,x,z)) = T(x,y).
T(x,(y * z) / (x * z)) = T(x,y / x).
K(x,y / (z * x)) = K(x,x \ (y / z)).
x != T(y,z / y) | T(y,y \ z) = x.
T(x,x \ y) = T(x,(y * z) / (x * z)).
T(x,(y * z) / (x * z)) = T(x,x \ y).
K(x,y / (z * x)) != u | K(x,(x \ y) / z) = u.
K(x,(x \ y) / z) = K(x,x \ (y / z)).
T(x,y / (x * z)) = T(x,x \ (y / z)).
T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),R(x,y,z) \ u).
K(x,y / z) = K(x,x \ ((x * y) / z)).
K(x,x \ ((x * y) / z)) = K(x,y / z).
R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5.
K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)).
K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)).
K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)).
(x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y).
K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5.
x != (y * K(z,u)) \ y | K(u,z) = x.
K(R(x,y,z),u) = K(R(x,K(x,w) * y,z),u).
K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w).
K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w).
R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1.
R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1.
R(K(x,T(T(y,z),z * u)),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w.
(x * y) \ ((x * K(z,u)) * y) = ((x * y) \ ((x * K(u,z)) * y)) \ 1.
((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y).
K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z).
K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u).
R(K(x,(y / (z / u)) \ x),u \ z,u) != w | K(x,z / ((x \ y) * u)) = w.
K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)).
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y).
R(T(x,R(x,y,z) \ u),y,z) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z).
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u).
R(K(x,(y / z) / u),y / z,z) != w | K(x,y / (u * z)) = w.
K(x,y / ((z * x) * u)) = ((z * (x * ((z \ (y / u)) / x))) * u) / y.
((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)).
T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x.
K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x.
K(R(x,y,z) * u,x) * K(x,u) != w | a(x,u,R(x,y,z)) = w.
a(x,y,R(x,z,u)) = L(x,y,R(x,z,u)) \ x.
L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)).
a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)).
x \ y != L(y,z,R(y,u,w)) | a(v5,v6,v5) = x.
a(x,y,x) = a(z,u,R(z,w,v5)).
a(x,y,R(x,z,u)) = a(w,v5,w).
x != a(y,z,y) | K(u,w) * K(u * w,u) = x.
K(x,y) * K(x * y,x) = a(z,u,R(z,w,v5)).
a(x,y,R(x,z,u)) = K(w,v5) * K(w * v5,w).
K(R(x,y,z) * u,x) = K(x * u,x).
K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w.
K(x * R(y,z,u),y) = K(y * x,y).
T(x * K(x * y,x),y) = R(x,y,R(x,z,u)).
T(x * K(x * y,x),y) != z | R(x,u,x) = z.
R(x,y,x) = R(x,z,R(x,u,w)).
R(x,y,R(x,z,u)) = R(x,w,x).
K(R(x,y,R(x,z,u)),w) = K(x,w).
K(R(x,T(x,y) \ z,u),w) != v5 | R(K(x,w),z,u) = v5.
R(K(x,y),z,R(x,u,w)) = K(x,y).
K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5.
K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))).
K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)).
R(K(x,y / (z / u)),y,u) != w | K(x,(y * u) / z) = w.
K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))).
K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))).
K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)).
K(x,T(y,z / R(x,u,w))) != v5 | K(x,T(y,R(x,u,w) \ z)) = v5.
K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)).
K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)).
K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)).
K(x,T(y \ z,z)) != u | K(x,z / y) = u.
K(x,(R(x,y,z) * u) / w) = K(x,T(w \ (R(x,y,z) * u),u)).
K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y).
x != K(y,z / (u / R(y,w,v5))) | K(y,z / (R(y,w,v5) \ u)) = x.
K(x,y / (R(x,z,u) \ w)) = K(x,(y * R(x,z,u)) / w).
K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)).
L(K(x,y) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z).
L(K(x,y) * z,T(K(y,x),y \ x),y \ x) = (x / y) \ ((y \ x) * z).
L(x,T(y,z),z) != u | L(x,y,z) = u.
L(K(x,y) * z,K(y,x),y \ x) = (x / y) \ ((y \ x) * z).
K(x,y) * z = (x / y) \ ((y \ x) * z).
(x / y) \ ((y \ x) * z) = K(x,y) * z.
(x / y) \ ((y \ x) * ((x \ y) * (x / y))) != z | (x \ y) * (y \ x) = z.
(x \ y) * (y \ x) = K(x,y) * ((x \ y) * (x / y)).
K(x,y) * ((x \ y) * (x / y)) = (x \ y) * (y \ x).
(x * y) * T((x * y) \ (z * y),u) != w | (x * T(x \ z,u)) * y = w.
((x * y) * T((x * y) \ y,z)) * u = R(T(x,z),y,u) \ ((x * y) * u).
R(T(x,y),z,u) \ ((x * z) * u) = ((x * z) * T((x * z) \ z,y)) * u.
(x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z).
K(a(x,y,z),x * (y * z)) * (1 * u) = K((x * y) * z,x * (y * z)) * u.
K(a(x,y,z),x * (y * z)) * u = K((x * y) * z,x * (y * z)) * u.
K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * u.
K(x \ 1,T(y * x,y)) * ((((y * x) \ y) \ y) * (x \ 1)) = (y * x) * (x \ 1).
x != (y * z) * (z \ 1) | R(y,z,z \ 1) = x.
R(x,y,y \ 1) = K(y \ 1,T(x * y,x)) * ((((x * y) \ x) \ x) * (y \ 1)).
K(x \ 1,T(y * x,y)) * ((((y * x) \ y) \ y) * (x \ 1)) = R(y,x,x \ 1).
K(x \ 1,x * y) * ((((y * x) \ y) \ y) * (x \ 1)) = R(y,x,x \ 1).
K(x \ 1,x * y) * (T(y * x,y) * (x \ 1)) = R(y,x,x \ 1).
K(x \ 1,x * y) * ((x * y) * (x \ 1)) = R(y,x,x \ 1).
K(x,y) * (y * x) != z | x * y = z.
(x \ 1) * (x * y) = R(y,x,x \ 1).
(x \ 1) * (x * y) != z | L(y,x,x \ 1) = z.
L(x,y,y \ 1) = R(x,y,y \ 1).
R(x,y,y \ 1) = L(x,y,y \ 1).
(x * y) * (y \ 1) = L(x,y,y \ 1).
R(x / y,y,y \ 1) != z | x * (y \ 1) = z.
x * (y \ 1) = L(x / y,y,y \ 1).
L(x / y,y,y \ 1) = x * (y \ 1).
(x * y) \ L(x,y,y \ 1) = y \ 1.
K(L(x,y,y \ 1) \ x,z) = 1.
R(x,x \ y,y \ 1) = 1 / L((x \ y) / y,y,y \ 1).
R(x,x \ y,y \ 1) = 1 / L(y \ (y / x),y,y \ 1).
R(x,x \ y,y \ 1) = 1 / ((y \ 1) * (y / x)).
x != 1 / y | y \ 1 = x.
((x \ 1) * (x / y)) \ 1 = R(y,y \ x,x \ 1).
R(x,x \ y,y \ 1) = ((y \ 1) * (y / x)) \ 1.
L(x,y / x,y \ 1) = R(x,x \ y,y \ 1).
R(x,x \ y,y \ 1) = L(x,y / x,y \ 1).
L(x,y,((z \ 1) * (z / x)) \ 1) = x.
((((x \ 1) * (x / y)) \ 1) \ 1) * y = R(y,y \ x,x \ 1) \ y.
R(x,x \ y,y \ 1) \ x = ((((y \ 1) * (y / x)) \ 1) \ 1) * x.
x * ((((y \ 1) * (y / x)) \ 1) \ 1) = R(x,x \ y,y \ 1) \ x.
R(x,x \ y,y \ 1) \ x = x * ((((y \ 1) * (y / x)) \ 1) \ 1).
R(x,x \ y,y \ 1) \ x = ((y \ 1) * (y / x)) * x.
R(x,x \ y,y \ 1) \ x = x * ((y \ 1) * (y / x)).
R(x,x \ y,y \ 1) \ x != z | ((y \ 1) * (y / x)) * x = z.
((x \ 1) * (x / y)) * y = y * ((x \ 1) * (x / y)).
L(x,y / x,y \ 1) \ x = x * ((y \ 1) * (y / x)).
(x * y) * z != u | K(x,y) * ((y * x) * z) = u.
K(x \ 1,x / y) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)).
L(x,(y \ 1) * (y / x),((y \ 1) * (y / x)) \ 1) / (x * ((y \ 1) * (y / x))) = ((y \ 1) * (y / x)) \ 1.
K(x,y / x) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)).
K(x,y) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)).
K(x,y) * ((x \ y) * (x / y)) = y * ((x \ 1) * (x / y)).
K(x,y) * ((x \ y) * (x / y)) != z | (x \ y) * (y \ x) = z.
(x \ y) * (y \ x) = y * ((x \ 1) * (x / y)).
x * ((y \ 1) * (y / x)) = (y \ x) * (x \ y).
(x * y) * (z * (((x * ((u / y) \ u)) \ u) / z)) = (x * (z * ((x \ (u / y)) / z))) * ((u / y) \ u).
(x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)).
x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(w \ (w / L(z,y,x)),u).
(x * y) * K(z \ (z / L(u,y,x)),w) = x * ((y * u) * T((y * u) \ y,w)).
(x * y) * K(z \ (z / L(u,y,x)),w) = x * (y * (u * T(u \ 1,w))).
L(x * T(x \ 1,y),z,u) = K(w \ (w / L(x,z,u)),y).
L(K(x \ 1,y),z,u) = K(w \ (w / L(x,z,u)),y).
K(x \ (x / L(y,z,u)),w) = L(K(y \ 1,w),z,u).
K(x \ (x / y),z) != u | K(y \ 1,z) = u.
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).
L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y).
K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z).
L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w.
L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w.
(x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w).
1 / L(K(x,y),z,u) = L(K(y,x),z,u).
x = L(K(y,z),u,w) * (L(K(z,y),u,w) * x).
L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w.
L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w.
1 / K(x,L(y,z / y,u)) = L(K(y,x),z,u).
(x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x).
K(L(x,y / x,z),u) = L(K(x,u),y,z).
K(L(x,y,z),u) = L(K(x,u),y * x,z).
L(K(x,y),z * x,u) = K(L(x,z,u),y).
K(L(x \ y,x,z),u) = L(K(x \ y,u),y,z).
L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z).
K(x,y) = L(K(x,y),z,K(u,x)).
L(K(x,y),z,K(u,x)) = K(x,y).
K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5).
K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5).
L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w.
K(x,L(y,z,K(u,x))) = K(x,y).
K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)).
K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)).
L(K(x,y),z,K(u,y)) != w | K(x,y) = w.
K(x,y) = K(L(x,z,K(u,y)),y).
K(L(x,y,K(z,u)),u) = K(x,u).
L(K(x,y),y,z) != u | K(x,y) = u.
K(x,y * x) = K(L(x,y,z),y * x).
K(L(x,y,z),y * x) = K(x,y * x).
L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)).
L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)).
K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z).
L(K(x,y \ (x \ z)),u * x,w) = K(L(x,u,w),(y * x) \ z).
L(K(x,(y * (x * z)) \ u),w * x,v5) = K(L(x,w,v5),(y * (z * x)) \ u).
L(K(x,(y * z) \ (x \ u)),w * x,v5) = K(L(x,w,v5),(y * (x * z)) \ u).
K(L(x \ y,x,K(z,u)),u) != w | K(x \ (K(z,u) * y),u) = w.
K(x \ (K(y,z) * u),z) = K(x \ u,z).
x != K(y,z * y) | K(y,y * z) = x.
K(x,x * y) = K(L(x,y,z),y * x).
K(L(x,y,z),y * x) = K(x,x * y).
K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y).
K(x \ y,z) = K(x \ (y * K(z,u)),z).
K(x \ (y * K(z,u)),z) = K(x \ y,z).
K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z).
K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u).
L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z).
L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u).
L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z).
L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u).
L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u).
(x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x).
x != L(K(y,z),u * y,w) | K(L(y,u,w),z) = x.
K(L(x,y,z),u) = K(L(x,y,z),L(u,w,x)).
K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u).
L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x).
K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z).
K((x \ y) \ z,z) = K(y \ (x * z),z).
K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w.
K(x,y \ z) = K(x,y \ (K(x,u) * z)).
K(x,y \ (K(x,z) * u)) = K(x,y \ u).
K(x,y \ (z * K(x,u))) = K(x,y \ z).
K(x,y \ (z * u)) = K(x,y \ (z * (K(w,x) * u))).
K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)).
K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))).
R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)).
K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y).
K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))).
K(x,(y * z) \ z) != u | K(x,z \ (y \ z)) = u.
K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * (z / x))) \ (y * (x \ z))).
K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))).
(x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,y) = v5.
K(x,y) = L(K(x,T(y,L(y,z,u))),L(y,z,u),w).
L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y).
L(K(x,y),L(y,z,u),w) = K(x,y).
L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u.
K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y).
L(K((x \ y) \ z,u),z,x) != w | K(y \ (x * z),u) = w.
K(x \ (y * L(z,u,w)),z) = K((y \ x) \ L(z,u,w),z).
K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z).
K(x * L(y,z,u),y) != w | K(L(y,z,u) * x,y) = w.
K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x).
x != K((y * (z \ 1)) \ u,z) | K(y \ (u * z),z) = x.
K(x \ ((x * y) * z),z) = L(K(z * y,z),y,x).
L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x).
x != K(L(T(y,z),u,w),T(v5,z)) | K(L(y,u,w),v5) = x.
K(L(x,y,z),u) = L(K(x,u),y * T(x,w),z).
L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y).
L(K(x,y),x * z,u) = K(L(x,z,u),y).
L(K(x,y),z,u) = K(L(x,x \ z,u),y).
K(L(x,x \ y,z),u) = L(K(x,u),y,z).
K(x,y \ (z * (x * u))) = K(L(x,u,z),(z \ y) \ (x * u)).
K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))).
K(x,x * y) = K(L(x,y,z),x * y).
K(L(x,y,z),x * y) = K(x,x * y).
x != L(y,1,z) | y = x.
K(x,y) = K(L(x,x \ 1,z),y).
K(L(x,x \ 1,y),z) = K(x,z).
K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5.
K(L(x,T(x,y) \ 1,z),u) = K(T(x,y),T(u,y)).
K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z).
K(T(x,y),T(z,y)) != u | K(x,z) = u.
K(x,y) = K(L(x,T(x,z) \ 1,u),y).
K(L(x,T(x,y) \ 1,z),u) = K(x,u).
K(L(x,x \ K(y,x),z),u) = K(x,u).
K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w.
L(K(x,y),K(z,x),u) = K(x,y).
(x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)).
(x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)).
R(x,K(y,z),K(z,u)) = x.
R(x,L(K(y,z),u,w),K(z,v5)) = x.
(x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w).
K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)).
L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w.
K(L(x,y,z),u \ (x \ w)) = K(L(x,y,z),(u * x) \ w).
K(L(x,y,z),(u * x) \ w) = K(L(x,y,z),u \ (x \ w)).
K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u).
x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)).
(x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5).
x * R(K(y,z),u,w) != (x * K(y,v5)) * v6 | K(v5,y) * R(K(y,z),u,w) = v6.
(x * K(y,z)) * u != x * R(K(y,w),v5,v6) | K(z,y) * R(K(y,w),v5,v6) = u.
a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z).
x != L(K(y,z),u,w) * K(v5,y) | K(v5,y) * L(K(y,z),u,w) = x.
K(x,y) * L(K(y,x),z,u) = a(u,z * K(y,x),K(x,y)).
a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x).
a(x,y,K(z,u)) = K(z,u) * L(K(u,z),y * K(z,u),x).
K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)).
K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)).
K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z).
K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5.
L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)).
a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w).
K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w.
K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)).
L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y).
K(x,y) != z * a(u,w,K(x,y)) | L(K(x,y),w,u) = z.
x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x.
K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u).
K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z).
a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w.
a(x,y,K(z,u)) \ (K(z,u) * w) = L(K(z,u),y,x) * w.
a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w).
L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w.
K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z).
L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)).
L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)).
L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x).
x != K(L(y,z,u),z * y) | K(y,y * z) = x.
K(x,x * y) = L(K(L(x,y,z),y * L(x,y,z)),y,z).
L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y).
L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5).
x != K(y,z) * (L(K(z,y),u,w) * v5) | a(w,u,K(y,z)) * v5 = x.
a(x,y,K(z,u)) * w = L(K(u,z),y,x) * (K(z,u) * w).
L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w.
L(K(x,y),z,u) * (K(y,x) * w) != v5 | a(u,z,K(x,y)) \ w = v5.
a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w.
1 / a(x,y,K(z,u)) = a(x,y,K(u,z)).
x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)).
1 / a(x,y,K(z,u)) = a(x,y,K(u,u \ z)).
a(x,y,K(z,z \ u)) = 1 / a(x,y,K(u,z)).
x != 1 / a(y,z,K(u,w)) | a(y,z,K(w,u)) = x.
a(x,y,K(z,u)) = a(x,y,K(z,z \ u)).
a(x,y,K(z,z \ u)) = a(x,y,K(z,u)).
1 / x != a(y,z,K(u,w)) | a(y,z,K(w,u)) = x.
a(x,y,K(z \ u,z)) = a(x,y,K(u,z)).
a(x,y,K(z \ u,u)) = a(x,y,K(u,z)).
a(x,y,K(z,u \ z)) = a(x,y,K(u,z)).
a(x,y,K(z \ u,u)) = a(x,y,K(z \ 1,u)).
a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)).
x != a(y,z,K(u \ w,w)) | a(y,z,K(w,u)) = x.
a(x,y,K(z,u)) = a(x,y,K(u \ 1,z)).
a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)).
K(L(x,y,z),(u * (x * w)) \ v5) = K(L(x,y,z),(u * (w * x)) \ v5).
K(L(x,y,z),(u * (w * x)) \ v5) = K(L(x,y,z),(u * (x * w)) \ v5).
K(L(x,y,z),(u * w) \ (x \ v5)) = K(L(x,y,z),(u * (x * w)) \ v5).
K(L(x,y,z),(u * (x * w)) \ v5) = K(L(x,y,z),(u * w) \ (x \ v5)).
K(L(x,y,z),(u * (x * w)) \ v5) != v6 | K(L(x,y,z),(u * (w * x)) \ v5) = v6.
K(L(x,y,z),(u * (w * x)) \ v5) = K(L(x,y,z),(u * w) \ (x \ v5)).
x != K(L(L(y,z,u),w,v5),u) | K(L(y,w,v5),u) = x.
K(L(x,y * z,u),y) = K((u * (y * z)) \ (u * ((z * x) * y)),y).
K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y).
K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w.
K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z).
K(x,L(L(y,z,K(u,x)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6.
K(x,L(y,K(z,x) * u,w)) = K(x,(w * (K(z,x) * u)) \ (w * (u * y))).
K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)).
K(x,(y * (K(z,x) * u)) \ w) != v5 | K(x,(y * u) \ w) = v5.
K(x,(y * z) \ (y * (z * u))) = K(x,L(u,K(w,x) * z,y)).
K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))).
K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)).
K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)).
(x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x).
K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))).
x != (y \ 1) / (y \ K(y,z)) | K(z,y) = x.
K(L(x,y,z),u) = K(L(x,K(u,w) * y,z),u).
K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y).
K(L(x,y,z),u) = K(L(x,T(y,u),z),u).
K(L(x,T(y,z),u),z) = K(L(x,y,u),z).
K(x,(y * (z * (u / x))) \ w) != v5 | K(x,(y * (z * u)) \ (w * x)) = v5.
K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))).
K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)).
K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u.
K(x,T(y \ 1,z * (u / x))) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)).
K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))).
x != K(y,T(z,u * (w / y))) | K(y,T(z,u * w)) = x.
K(x,T(y \ 1,z * u)) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)).
K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)).
K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)).
K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)).
K(x,T((y / z) \ 1,z)) != u | K(x,y \ z) = u.
K(x,y \ (z * u)) = K(x,y \ ((z * (x \ u)) * x)).
K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)).
K(x,y \ (((x \ y) * z) * x)) != u | K(x,z) = u.
K(x,x \ y) = K(x,z \ ((x \ z) * y)).
K(x,y \ ((x \ y) * z)) = K(x,x \ z).
K(x,y \ z) = K(x,x \ ((x \ y) \ z)).
K(x,x \ ((x \ y) \ z)) = K(x,y \ z).
K(x,x \ (y \ z)) = K(x,(x * y) \ z).
K(x,(x * y) \ z) = K(x,x \ (y \ z)).
K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u.
K(x,y \ (x \ z)) = K(x,x \ (y \ z)).
K(x,y \ z) = K(x,x \ (y \ (x * z))).
K(x,x \ (y \ (x * z))) = K(x,y \ z).
K(x,y \ (x \ (y * z))) = K(x,x \ z).
a(x,y,x) = K(z,u \ w) * K(u \ (w * z),z).
x != K(y,y \ (z * y)) | K(y,z) = x.
K(x,y) = K(x,z \ (x \ (z * (y * x)))).
K(x,y \ (x \ (y * (z * x)))) = K(x,z).
x != K(y,z) | L(K(y,z),u,z * y) = x.
L(K(x,y),z,y * x) = K(x,u \ (x \ (u * (y * x)))).
K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u.
K(x,L(y,x,z)) = K(x,y).
K(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = K(L(x,y,z),L(x,y,z) \ u).
(x * y) * K(y,L(z,y,u)) = x * T(y,z).
L(K(x,y),z * x,u) = K(L(x,z,u),L(y,x,w)).
K(L(x,y,z),L(u,x,w)) = L(K(x,u),y * x,z).
T(x,L(y,x,z)) = T(x,y).
(x * y) * K(y,x) != z | y * x = z.
x * L(y,x,z) = L(y,x,z) * T(x,y).
L(x,y,z) * T(y,x) = y * L(x,y,z).
L(x,y,z) / T(y,x) = y \ L(x,y,z).
((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)).
(x * (y \ 1)) / T(y,x / y) = y \ L(x / y,y,y \ 1).
x \ L(y / x,x,x \ 1) = (y * (x \ 1)) / T(x,y / x).
K(x * (y \ z),x) = K(y \ (z * x),x).
K(x \ (y * z),z) = K(z * (x \ y),z).
K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u.
K((x \ y) \ z,z) = K(z * (y \ x),z).
K((x * y) \ (z * y),y) != u | K(x \ z,y) = u.
K(x \ y,z) = K(z * ((x * z) \ y),z).
K(x * ((y * x) \ z),x) = K(y \ z,x).
K(x \ y,z) = K(z * (x \ (z \ y)),z).
K(x * (y \ (x \ z)),x) = K(y \ z,x).
K(x \ y,y) = K(y * (x \ 1),y).
K(x * (y \ 1),x) = K(y \ x,x).
K(L(x,y,z),u) = K(L(x,y,z),L(u,x,w)).
K(L(x,y,z),L(u,x,w)) = K(L(x,y,z),u).
K(L(x,y,z),(u * x) \ (u * w)) = K(L(x,y,z),x \ w).
L(K(x,y),z,y * x) = K(x,((u / w) * w) \ (x \ (u * (y * x)))).
K(L(x,y,z),(u * x) \ w) != v5 | K(L(x,y,z),u \ (x \ w)) = v5.
K(L(x,y,z),u \ (x \ (u * w))) = K(L(x,y,z),x \ w).
x \ L(y / x,x,x \ 1) = (y * (x \ 1)) / T(x,y).
x \ (y * (x \ 1)) = (y * (x \ 1)) / T(x,y).
(x * (y \ 1)) / T(y,x) = y \ (x * (y \ 1)).
x != y \ (z * (y \ 1)) | (y \ z) * (y \ 1) = x.
(x \ y) * (x \ 1) = (y * (x \ 1)) / T(x,y).
(x * (y \ 1)) / T(y,x) = (y \ x) * (y \ 1).
((x * y) * (y \ 1)) / T(y,x * y) = T(x,y) * (y \ 1).
L(x,y,y \ 1) / T(y,x * y) = T(x,y) * (y \ 1).
L(x,y,y \ 1) / T(y,x) = T(x,y) * (y \ 1).
L(x,y,z) / T(y,x) != u | y \ L(x,y,z) = u.
x \ L(y,x,x \ 1) = T(y,x) * (x \ 1).
x != T(y,z) * (z \ 1) | (z \ 1) * y = x.
(x \ 1) * y = x \ L(y,x,x \ 1).
x \ L(y,x,x \ 1) = (x \ 1) * y.
L(x,y \ 1,y) = L(x,y,y \ 1).
x * y = L((x \ 1) \ y,x,x \ 1).
L((x \ 1) \ y,x,x \ 1) = x * y.
((x \ 1) * y) \ T(L(y,x,x \ 1),x) = x.
L(x,y,y \ 1) \ x = a(y,y \ 1,x).
(x \ 1) \ (x * y) = x * ((x \ 1) \ y).
K(a(x,x \ 1,y),z) = 1.
T(a(x,x \ 1,y),z) = a(x,x \ 1,y).
x / a(y,y \ 1,z) = a(y,y \ 1,z) \ x.
((x \ 1) * y) \ L(T(y,x),x,x \ 1) = x.
((x \ 1) * y) \ ((x \ 1) * (y * x)) = x.
L(x,y,x \ 1) = x.
L(x \ 1,x,y) = L((y * x) \ y,z,(x \ 1) \ 1).
L((x * y) \ x,z,(y \ 1) \ 1) = L(y \ 1,y,x).
L(x,y,(z \ 1) \ 1) != u | L(x,y,z) = u.
L((x * y) \ x,z,y) = L(y \ 1,y,x).
L(x \ 1,x,y) != z | (y * x) \ y = z.
L(L(T(x * y,x) \ y,T(x * y,x),x),z,x) = L(x \ 1,x,x * y).
x != K(y,(z * u) \ (y \ w)) | K(y,(z * (u * y)) \ w) = x.
K(x,((y / z) * (z * x)) \ (y * (u * x))) = L(K(x,u),w,u * x).
L(K(x,y),z,y * x) = K(x,((u / w) * (w * x)) \ (u * (y * x))).
K(x,y) = K(x,((z / u) * (u * x)) \ (z * (y * x))).
K(x,((y / z) * (z * x)) \ (y * (u * x))) = K(x,u).
K(x,((y / z) * u) \ (y * u)) != w | (y * u) \ ((y * K(x,z)) * u) = w.
(x * (y * z)) \ ((x * K(z,y)) * (y * z)) = K(z,y).
(x * (y * z)) * K(z,y) = (x * K(z,y)) * (y * z).
(x * K(y,z)) * (z * y) = (x * (z * y)) * K(y,z).
x != (y * (z * u)) * K(u,z) | y * (u * z) = x.
x * (y * z) = (x * K(y,z)) * (z * y).
(x * K(y,z)) * (z * y) = x * (y * z).
(x * (y * z)) / (z * y) = x * K(y,z).
x / (y * z) = (x / (z * y)) * K(z,y).
(x / (y * z)) * K(y,z) = x / (z * y).
x != (y * R(z,u,w)) / (R(z,u,w) * T(y,z)) | K(y * z,y * R(z,u,w)) = x.
K(x * y,x * R(y,z,u)) = ((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)).
((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)) = K(x * y,x * R(y,z,u)).
L(L((x * y) \ x,T(y * x,y),y),z,y) = L(y \ 1,y,y * x).
L(L(x \ 1,x,y),z,x) = L(x \ 1,x,x * y).
L(x \ 1,x,y) = L(x \ 1,x,x * y).
L(x \ 1,x,x * y) = L(x \ 1,x,y).
L(x \ 1,x,x * (y / x)) != z | L(x \ 1,x,y) = z.
L(x \ 1,x,y) = L(x \ 1,x,y / x).
L(x \ 1,x,y / x) = L(x \ 1,x,y).
L(x \ 1,x,y) = L(x \ 1,x,x \ y).
L(x \ 1,x,x \ y) = L(x \ 1,x,y).
L(x \ 1,x,y / x) != z | y \ (y / x) = z.
x \ (x / y) = L(y \ 1,y,x).
L(x \ 1,x,y) = y \ (y / x).
L(x \ 1,x,y) * y = x \ y.
(x * y) \ x = x \ (x / y).
(x * y) * (x \ (x / y)) = x.
(x * y) \ x != z | x / (y * x) = z.
x / (y * x) = x \ (x / y).
(x * y) \ x != z | T(x,y) / (x * y) = z.
T(x,y) / (x * y) = x \ (x / y).
T(x \ (x / y),x) = (y * x) \ x.
T(x * y,y) \ x = x \ (x / (x * (y / x))).
(x * (y \ x)) * (x \ y) = x.
(x \ (x / y)) * L((x / (y * x)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x).
(x * (y \ z)) * (z \ y) != u | (z \ y) * ((y \ z) * x) = u.
(x \ y) * ((y \ x) * x) = x.
L(x,y \ x,x \ y) = ((x \ y) * (y \ x)) \ x.
((x \ y) * (y \ x)) \ x = L(x,y \ x,x \ y).
L(x,x \ 1,y) * y = (x \ 1) \ y.
(x \ 1) \ (x \ y) = L(x \ 1,x,y) * ((x \ 1) \ y).
L(x \ 1,x,y) * ((x \ 1) \ y) = (x \ 1) \ (x \ y).
(x \ y) / T(y,z) = L(x \ 1,x,y) * K(z,y).
L(x \ 1,x,y) * K(z,y) = (x \ y) / T(y,z).
T(x \ (x / y),x) != z | x \ (y \ x) = z.
x \ (y \ x) = (y * x) \ x.
(x * y) \ y = y \ (x \ y).
(x * y) * T(y \ (x \ y),z) = x * (y * T(y \ (x \ y),z)).
L(T(x,y) \ L(y \ (x * y),z,u),T(x,y),y) = (y \ (x \ y)) * L(((x * y) \ y) \ 1,z,u).
R(T(x,y),z,u) \ ((x * z) * u) = ((x * z) * T(z \ (x \ z),y)) * u.
x \ ((x \ 1) \ y) = L(x,x \ 1,y) * (x \ y).
L(x,x \ 1,y) * (x \ y) = x \ ((x \ 1) \ y).
L(x \ 1,x,x \ (y / x)) != z | (x \ y) \ (x \ (y / x)) = z.
(x \ y) \ (x \ (y / x)) = L(x \ 1,x,y / x).
x * (x / (x * y)) = x / (x * (y / x)).
x / (x * (y / x)) = x * (x / (x * y)).
(x / y) / x = x / (x * y).
((x \ y) / x) / (x \ y) = (x \ y) / T(y,x).
(x \ (y / x)) / (x \ y) = (x \ y) / T(y,x).
((x \ y) * (y \ x)) \ y = L(y,x \ y,y \ x).
x != L(y \ 1,y,z / y) | L(y \ 1,y,z) = x.
L(x \ 1,x,y) = (x \ y) \ (x \ (y / x)).
(x \ y) \ (x \ (y / x)) = L(x \ 1,x,y).
L(x \ 1,x,y) * L(((x \ y) \ (x \ (y / x))) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)).
(x * ((x \ y) \ (x \ (y / x)))) \ (x \ y) = L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))).
L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))) = (x * ((x \ y) \ (x \ (y / x)))) \ (x \ y).
x != (y \ 1) \ (y \ z) | y \ ((y \ 1) \ z) = x.
x \ ((x \ 1) \ y) = L(x \ 1,x,y) * ((x \ 1) \ y).
L(x \ 1,x,y) * ((x \ 1) \ y) = x \ ((x \ 1) \ y).
x != y * (z * T(z \ (y \ z),u)) | K(u,y) * z = x.
K(x,y) * z = (y * z) * T(z \ (y \ z),x).
(x * y) * T(y \ (x \ y),z) = K(z,x) * y.
R(T(x,y),z,u) \ ((x * z) * u) = (K(y,x) * z) * u.
R(T(x,y * z),y,z) \ ((x * y) * z) != u | T(y * z,(x * y) * z) = u.
T(x * y,(z * x) * y) = (K(x * y,z) * x) * y.
K(L(x,y,z),(u * (w * x)) \ v5) != v6 | K(L(x,y,z),(u * w) \ (x \ v5)) = v6.
K(L(x,y,z),(z * y) \ (x \ ((z * y) * u))) = K(L(x,y,z),L(x,y,z) \ u).
K(L(x,y,z),u \ (x \ (u * w))) != v5 | K(L(x,y,z),x \ w) = v5.
K(L(x,y,z),x \ u) = K(L(x,y,z),L(x,y,z) \ u).
K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u).
x != K(L(y,z,u),w) | L(y,z,u) \ L(T(y,w),z,u) = x.
L(x,y,z) \ L(T(x,x \ u),y,z) = K(L(x,y,z),L(x,y,z) \ u).
x \ y != K(x,z) | T(x,z) = y.
T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z).
T(x,L(x,y,z) \ u) = T(x,x \ u).
x != T(y,y \ z) | (y \ z) \ z = x.
(x \ y) \ y = T(x,L(x,z,u) \ y).
T(x,L(x,y,z) \ u) = (x \ u) \ u.
x != (y \ (z * y)) \ (z * y) | T(y,z) = x.
T(x,y) = T(x,L(x,z,u) \ (y * x)).
T(x,L(x,y,z) \ (u * x)) = T(x,u).
(x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x).
(x \ y) * L((x \ y) \ 1,z,u) != w | x \ (y * L(y \ x,z,u)) = w.
x \ ((x / y) * L((x / y) \ x,z,u)) = (x * L(T(y,x),z,u)) / (y * x).
x \ ((x / y) * L(y,z,u)) = (x * L(T(y,x),z,u)) / (y * x).
(x * L(T(y,x),z,u)) / (y * x) = x \ ((x / y) * L(y,z,u)).
(L(x,y,z) * u) / (x * u) = u \ ((u / x) * L(x,y,z)).
(x \ ((x \ 1) \ y)) / ((x \ 1) * ((x \ 1) \ y)) = ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)).
((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = (x \ ((x \ 1) \ y)) / ((x \ 1) * ((x \ 1) \ y)).
((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)).
K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)).
K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)).
K(L(x,y,z),y * x) = K(x,y * L(x,y,z)).
K(L(x,y,z),y * x) != u | K(x,x * y) = u.
K(x,x * y) = K(x,y * L(x,y,z)).
K(x,y * L(x,y,z)) = K(x,x * y).
L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)).
K(L(x,y,z),x * u) = K(L(x,y,z),u * L(x,u,w)).
K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u).
L(K(L(x,y,z),x * y),y,z) = K(x,x * y).
L(K(x,x * y),y,z) = K(x,x * y).
L(K(x,x * (y \ z)),y \ z,y) != u | K(x,y \ (z * x)) = u.
K(x,y \ (z * x)) = K(x,x * (y \ z)).
K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u.
K(x,y \ (x * z)) = K(x,x * (y \ z)).
K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)).
T(x,y \ (x * z)) = x * K(x,x * (y \ z)).
x * K(x,x * (y \ z)) = T(x,y \ (x * z)).
T(x,x * (y \ z)) = T(x,y \ (x * z)).
T(x,y \ (x * z)) = T(x,x * (y \ z)).
T(x,y \ (x * z)) != u | T(x,y \ (z * x)) = u.
T(x,y \ (z * x)) = T(x,x * (y \ z)).
T(x,L(x,y,z) \ (u * x)) != w | T(x,u) = w.
T(x,y) = T(x,x * (L(x,z,u) \ y)).
T(x,x * (L(x,y,z) \ u)) = T(x,u).
K(x * (L(x,y,z) \ u),x) = x / T(x,u).
K(x,y) = K(y * (L(y,z,u) \ x),y).
K(x * (L(x,y,z) \ u),x) = K(u,x).
K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u.
K(L(x,y,z) \ u,x) = K(x \ u,x).
K(x * y,x) = K(L(x,z,u) * y,x).
K(L(x,y,z) * u,x) = K(x * u,x).
K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w.
K(x / L(y,z,u),y) = K(y \ x,y).
K(L(x,y,z) * (u \ 1),x) != w | K(u \ L(x,y,z),x) = w.
K(x \ L(y,z,u),y) = K(y * (x \ 1),y).
x != K(y * (z \ 1),y) | K(z \ y,y) = x.
K(x \ y,y) = K(x \ L(y,z,u),y).
K(x \ L(y,z,u),y) = K(x \ y,y).
K((x \ y) \ L(z,u,w),z) != v5 | K(y \ (x * L(z,u,w)),z) = v5.
K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z).
x != K((y \ z) \ u,u) | K(u * (z \ y),u) = x.
K(x * (y \ z),x) = K(y \ (z * L(x,u,w)),x).
K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z).
K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u).
K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u.
K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y).
x != K(y * ((z * y) \ u),y) | K(z \ u,y) = x.
K(x \ (y * z),u) = K(x \ (u \ (y * (z * u))),u).
K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y).
K((x * y) \ (z \ (x * ((y * u) * z))),z) != w | K(L(u,z * y,x),z) = w.
K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y).
K(L(x,y * z,u),y) = K(L(x,z,u),y).
K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)).
K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)).
K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5.
K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)).
x != K(y,L(L(z,u,y),w,v5)) | K(y,L(z,w,v5)) = x.
K(x,L(y,x * z,u)) = K(L(x,z * y,u),y).
K(L(x,y * z,u),z) = K(x,L(z,x * y,u)).
K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)).
K(L(x,T(y * (x \ z),y),u),R(y,w,y)) = K(x,L(R(y,w,y),z,u)).
K(x,R(y,z,y)) != u | K(x,y) = u.
K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,w,y),z,u)).
K(L(x,T(y,z),u),z) != w | K(L(x,y,u),z) = w.
K(L(x,y * (x \ z),u),y) = K(x,L(R(y,w,y),z,u)).
x != K(y,L(R(z,u,z),w,v5)) | K(y,L(z,w,v5)) = x.
K(x,L(y,z,u)) = K(L(x,y * (x \ z),u),y).
K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)).
K(L(x,y * z,u),y) != w | K(L(x,z,u),y) = w.
K(L(x,x \ y,z),u) = K(x,L(u,y,z)).
L(K(x,y),z,u) = K(x,L(y,z,u)).
1 / L(K(x,y),z,u) = K(L(y,z,u),x).
K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)).
1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w.
L(K(x,y),z,u) = K(L(x,z,u),y).
L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w.
K(x,L(y,z,u)) = K(L(x,z,u),y).
K(L(x,y,z),u) = K(x,L(u,y,z)).
K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)).
K((x \ 1) * y,z) = K(x \ y,L(z,x,x \ 1)).
K(x \ y,L(z,x,x \ 1)) = K((x \ 1) * y,z).
K(x,L(y,z,u)) * K(y,x) != w | K(x * y,x * L(y,z,u)) = w.
K(x * y,x * L(y,z,u)) = a(u,z,K(y,x)).
K(x,y) * K(L(y,z,u),x) != w | K(x * L(y,z,u),x * y) = w.
K(x * L(y,z,u),x * y) = a(u,z,K(x,y)).
K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)).
K(x,(x / L(y,z,u)) * y) != w | K(x,y * (L(y,z,u) \ x)) = w.
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)).
x != a(y,z,K(u \ w,u)) | a(y,z,K(w,u)) = x.
a(x,y,K(z,u)) = K(z,u * (L(u,y,x) \ z)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)).
K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w.
K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)).
a(x,y,a(z,u,K(y,w))) = 1.
K(x,x * y) != z | x \ L(T(x,y),u,x) = z.
x \ L(T(x,L(y,z,u) \ y),w,x) = a(u,z,K(x,y)).
x / (a(y,z,K(u,w)) * x) = K(u * (L(w,z,y) \ w),u).
K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w).
x != y / (a(z,u,K(w,v5)) * y) | a(z,u,K(v5,w)) = x.
a(x,y,K(z,u)) = K(u * (L(z,y,x) \ z),u).
K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)).
K(x * y,x) != z | K(y,x) = z.
K(L(x,y,z) \ x,u) = a(z,y,K(x,u)).
K(L(x,y,y \ 1) \ x,z) != u | 1 = u.
1 = a(x \ 1,x,K(y,z)).
a(x \ 1,x,K(y,z)) = 1.
a(x,y,K(L(y,z,u) \ y,w)) = 1.
L(K(x,y),z,z \ 1) = K(x,y).
K(x,L(y,z,z \ 1)) = K(x,y).
(K(x,y) * z) \ K(x,y) = z \ 1.
K(x \ y,L(z,x,x \ 1)) != u | K((x \ 1) * y,z) = u.
K((x \ 1) * y,z) = K(x \ y,z).
K(x,(y \ 1) * z) = K(x,y \ z).
K(x,y * z) = K(x,(y \ 1) \ z).
K(x,(y \ 1) \ z) = K(x,y * z).
K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u).
K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1.
((x / y) * z) \ K(y,x) = ((y \ x) * z) \ 1.
K(x,y) = K(z \ ((z \ 1) \ x),y).
K(x \ ((x \ 1) \ y),z) = K(y,z).
K(x * y,z) = K((x \ 1) \ y,z).
K((x \ 1) \ y,z) = K(x * y,z).
K(x,(y \ a(z,u,z)) * w) = K(x,y \ w).
K(x,(y \ 1) \ z) != u | K(x,(y \ x) \ (x * z)) = u.
K(x,(y \ x) \ (x * z)) = K(x,y * z).
K(x,T(y \ 1,z) \ u) = K(x,y * (K(z,y \ 1) * u)).
K(x,y * (K(z,y \ 1) * u)) = K(x,T(y \ 1,z) \ u).
K(x / y,z) = K(x * (y \ 1),z).
K(x * (y \ 1),z) = K(x / y,z).
x \ T(x * y,z) = y * K(x * y,z).
K(x * y,z) = K(x / (1 / y),z).
K(x / (1 / y),z) = K(x * y,z).
K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u.
K(x,x * ((y \ x) \ z)) = K(x,y * z).
x * (y * K(x * y,z)) = T(x * y,z).
x \ T(y,z) = (x \ y) * K(x * (x \ y),z).
(x \ y) * K(x * (x \ y),z) = x \ T(y,z).
K(x,x * (y \ z)) = K(x,(x / y) * z).
K(x,(x / y) * z) = K(x,x * (y \ z)).
(x * y) * K(x * y,z) = x * (y * K(x * y,z)).
T(x,(y \ a(z,u,z)) * w) = x * K(x,y \ w).
K(a(x,y,z),u) = K(L(z,y,x) \ z,u).
K(L(x,y,z) \ x,u) = K(a(z,y,x),u).
K(L(x,y,z) \ x,u) != w | a(z,y,K(x,u)) = w.
a(x,y,K(z,u)) = K(a(x,y,z),u).
x != K(y,z) | K(z * y,z) = x.
K(x * a(y,z,u),x) = a(y,z,K(u,x)).
x != a(y,z,K(u,w)) | K(w * (L(u,z,y) \ u),w) = x.
K(x * (L(y,z,u) \ y),x) = K(x * a(u,z,y),x).
((x / y) * (x \ 1)) \ K(y,x) != z | L(y,x / y,x \ 1) = z.
L(x,y / x,y \ 1) = ((x \ y) * (y \ 1)) \ 1.
(x \ y) * K(y,z) = x \ T(y,z).
(x \ T(y,z)) * K(z,y) = x \ y.
x * K(y,z) = (y / x) \ T(y,z).
(x / y) \ T(x,z) = y * K(x,z).
x * K(y,z) = (T(z,y) / x) \ z.
(T(x,y) / z) \ x = z * K(y,x).
(x \ y) / y = T(y,z) \ (T(y,z) / x).
T(x,y) \ (T(x,y) / z) = (z \ x) / x.
T(x * K(y,z),(y / x) \ 1) = T(y,z) / (y / x).
x \ (x / y) = T(x,z) \ (T(x,z) / y).
T(x,y) \ (T(x,y) / z) = x \ (x / z).
K(x,y) * (x / z) = T(x,y) / z.
K(x,y) * z = T(x,y) / (z \ x).
T(x,y) / (z \ x) = K(x,y) * z.
x * (T(x,y) / z) = T(x,y) * (x / z).
T(x,y) * (x / z) = x * (T(x,y) / z).
(K(x,y) * z) * (z \ x) = T(x,y).
(K(x * y,z) * x) * y = T(x * y,z).
(K(x * y,z) * x) * y != u | T(x * y,(z * x) * y) = u.
T(x * y,(z * x) * y) = T(x * y,z).
T(x,y \ z) = T(x,(y \ a(u,w,u)) * z).
T(x,(y \ a(z,u,z)) * w) = T(x,y \ w).
T(x,(y \ 1) * z) = T(x,y \ z).
T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u).
T(x,T(y,z) * u) = T(x,T(y \ 1,z) \ u).
T(x,T(y \ 1,z) \ u) = T(x,T(y,z) * u).
(((x \ y) * (y \ 1)) \ 1) \ x = x * ((y \ 1) * (y / x)).
(x * (y * K(x * y,z))) * u != (x * y) * K(x * y,z) | 1 = u.
1 = a(x,y,K(x * y,z)).
a(x,y,K(x * y,z)) = 1.
a(x,y,K(z,u \ z)) != w | a(x,y,K(u,z)) = w.
a(x,y,K(z,x * y)) = 1.
a(x,y,K(z,u)) != w | K(u * z,u * L(z,y,x)) = w.
K((x * y) * z,(x * y) * L(z,y,x)) = 1.
K((x * y) * z,x * (y * z)) = 1.
1 * x = K(a(y,z,u),y * (z * u)) * x.
K(a(x,y,z),x * (y * z)) * u = 1 * u.
x != K(a(y,z,u),y * (z * u)) * w | w = x.
((x * y) * z) / (x * (y * z)) = a(x,y,z).
a(x,y,z) = ((x * y) * z) / (x * (y * z)).
x != ((y * z) * u) / (y * (z * u)) | R(y \ R(y,z,u),y,z * u) = x.
R(x \ R(x,y,z),x,y * z) = a(x,y,z).
a(x,y,z) = R(x \ R(x,y,z),x,y * z).
x != K(y * z,y) | K(y,z) \ a(u,w,u) = x.
K(x,a(y,z,u)) \ a(w,v5,w) = K(x * (L(u,z,y) \ u),x).
K(x * (L(y,z,u) \ y),x) = K(x,a(u,z,y)) \ a(w,v5,w).
T(x,(y / z) \ 1) != u | T(x,z / y) = u.
T(x * K(y,z),x / y) = T(y,z) / (y / x).
T(x * K(y,z),x / y) != u | T(y,z) * (x / y) = u.
T(x,y) * (z / x) = T(x,y) / (x / z).
T(x,y) / (x / z) = T(x,y) * (z / x).
T(x,y) / (x / (z * x)) = T(x,y) * z.
T(x,y) / (x \ (x / z)) = T(x,y) * z.
T(x,y) / L(z \ 1,z,x) = T(x,y) * z.
(T(x,y) * z) \ x = L(z \ 1,z,x) * K(y,x).
L(x \ 1,x,y) * K(z,y) = (T(y,z) * x) \ y.
L(x \ 1,x,y) * K(z,y) != u | (x \ y) / T(y,z) = u.
(x \ y) / T(y,z) = (T(y,z) * x) \ y.
(x \ y) / T(y,x) != z | (x \ (y / x)) / (x \ y) = z.
(x \ (y / x)) / (x \ y) = (T(y,x) * x) \ y.
(x \ (y / x)) / (x \ y) = T(y * x,x) \ y.
x != T(y * z,z) \ y | y / (y * z) = x.
x / (x * y) = (y \ (x / y)) / (y \ x).
(x \ (y / x)) / (x \ y) = y / (y * x).
K(x,(y \ z) * (K(u,z \ y) * w)) = K(x,T((y \ z) \ 1,u) \ w).
(((x \ y) * (y \ 1)) \ 1) \ x != z | x * ((x \ y) * (y \ 1)) = z.
x * ((x \ y) * (y \ 1)) = x * ((y \ 1) * (y / x)).
x * ((y \ 1) * (y / x)) = x * ((x \ y) * (y \ 1)).
x * ((y \ 1) * (y / x)) != z | (y \ x) * (x \ y) = z.
(x \ y) * (y \ x) = y * ((y \ x) * (x \ 1)).
x * ((x \ y) * (y \ 1)) = (y \ x) * (x \ y).
a(x,y,(x \ z) * (z \ x)) = 1.
a(x,y,L(z \ 1,z,x) * ((x / z) \ x)) = 1.
a(x,y,L(z \ 1,z,x) * z) = 1.
a(x,y,z * L(z \ 1,z,x)) = 1.
L(x * L(x \ 1,x,y),z,y) = x * L(x \ 1,x,y).
K(x,L(y,z,u) \ y) = K(x,a(u,z,y)).
T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)).
T(x,a(y,z,u)) = T(x,L(u,z,y) \ u).
T(x,L(y,z,u) \ y) = T(x,a(u,z,y)).
x \ L(T(x,a(y,z,u)),w,x) = a(y,z,K(x,u)).
K(x,x * a(y,z,u)) = a(y,z,K(x,u)).
T(x,(y \ z) * (K(u,z \ y) * w)) = x * K(x,T((y \ z) \ 1,u) \ w).
T(x,T((y \ z) \ 1,u) \ w) = T(x,(y \ z) * (K(u,z \ y) * w)).
T(x,(y \ z) * (K(u,z \ y) * w)) = T(x,T((y \ z) \ 1,u) \ w).
T(x,y * (K(z,y \ 1) * u)) = T(x,T((1 \ y) \ 1,z) \ u).
T(x,T((1 \ y) \ 1,z) \ u) = T(x,y * (K(z,y \ 1) * u)).
T(x,T((1 \ y) \ 1,z) \ (y \ u)) = T(x,K(z,y \ 1) * u).
T(x,T(y \ 1,z) \ (y \ u)) = T(x,K(z,y \ 1) * u).
T(x,T(y \ 1,z) \ u) != w | T(x,T(y,z) * u) = w.
T(x,T(y,z) * (y \ u)) = T(x,K(z,y \ 1) * u).
T(x,K(y,z) * u) = T(x,K(z,y \ 1) * u).
T(x,K(y,z \ 1) * u) = T(x,K(z,y) * u).
L(T(x,y) \ L(y \ (x * y),z,u),T(x,y),y) = (y \ (x \ y)) * L((y \ (x \ y)) \ 1,z,u).
x != (y \ z) * L((y \ z) \ 1,u,w) | y \ (z * L(z \ y,u,w)) = x.
x \ ((y \ x) * L((y \ x) \ x,z,u)) = L(T(y,x) \ L(x \ (y * x),z,u),T(y,x),x).
L(T(x,y) \ L(y \ (x * y),z,u),T(x,y),y) = y \ ((x \ y) * L((x \ y) \ y,z,u)).
L(T(x,y) \ L(y \ (x * y),z,u),T(x,y),y) = y \ (L(x,z,u) * (x \ y)).
L(T(x,y) \ L(T(x,y),z,u),T(x,y),y) = y \ (L(x,z,u) * (x \ y)).
L(T(x,y) \ z,T(x,y),y) != u | (x * y) \ (y * z) = u.
(x * y) \ (y * L(T(x,y),z,u)) = y \ (L(x,z,u) * (x \ y)).
(x * y) \ (L(x,z,u) * y) = y \ (L(x,z,u) * (x \ y)).
((x \ 1) * y) \ (x \ y) = y \ (L(x \ 1,x,y) * ((x \ 1) \ y)).
x \ (L(y \ 1,y,x) * ((y \ 1) \ x)) = ((y \ 1) * x) \ (y \ x).
(x * y) \ ((x \ 1) \ y) = y \ (L(x,x \ 1,y) * (x \ y)).
x \ (L(y,y \ 1,x) * (y \ x)) = (y * x) \ ((y \ 1) \ x).
x \ (y \ ((y \ 1) \ x)) = (y * x) \ ((y \ 1) \ x).
(x * y) \ ((x \ 1) \ y) = y \ (x \ ((x \ 1) \ y)).
x \ (y \ ((y \ 1) \ x)) = ((y \ 1) * x) \ (y \ x).
((x \ 1) * y) \ (x \ y) = y \ (x \ ((x \ 1) \ y)).
(x \ y) / (y \ (x \ ((x \ 1) \ y))) = (x \ 1) * y.
((x \ 1) * (x * y)) \ y = (x * y) \ (x \ ((x \ 1) \ (x * y))).
(x * y) \ (x \ ((x \ 1) \ (x * y))) = ((x \ 1) * (x * y)) \ y.
(x * y) \ (x \ ((x \ 1) \ (x * y))) = L(y,x,x \ 1) \ y.
x != L(y,z,z \ 1) \ y | a(z,z \ 1,y) = x.
a(x,x \ 1,y) = (x * y) \ (x \ ((x \ 1) \ (x * y))).
(x * y) \ (x \ ((x \ 1) \ (x * y))) = a(x,x \ 1,y).
(x * y) \ (x \ (x * ((x \ 1) \ y))) = a(x,x \ 1,y).
(x * y) \ ((x \ 1) \ y) = a(x,x \ 1,y).
(x * y) \ ((x \ 1) \ y) != z | y \ (x \ ((x \ 1) \ y)) = z.
x \ (y \ ((y \ 1) \ x)) = a(y,y \ 1,x).
(x \ ((x \ 1) \ y)) / a(x,x \ 1,y) = y.
(x \ y) / a(x,x \ 1,y) = (x \ 1) * y.
x / a(y,y \ 1,z) != u | a(y,y \ 1,z) \ x = u.
a(x,x \ 1,y) \ (x \ ((x \ 1) \ y)) = y.
a(x,x \ 1,y) \ (x \ y) = (x \ 1) * y.
(x \ ((x \ 1) \ y)) / y = a(x,x \ 1,y).
(x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)).
(x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)).
((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)).
(x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u.
K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)).
x != K(y,z / (((y \ u) * y) * w)) | K(y,z / (u * w)) = x.
K(x,y / (z * u)) = K(x,y / (((x \ z) * u) * x)).
K(x,y / (((x \ z) * u) * x)) = K(x,y / (z * u)).
K(x,y / (z * x)) != u | K(x,y / (x * z)) = u.
K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)).
K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))).
K(x,y / (z * x)) != u | K(x,x \ (y / z)) = u.
K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)).
K(x,y / ((z * x) * u)) != w | K(x,y / ((x * z) * u)) = w.
K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))).
K(x,x \ ((x * y) / z)) != u | K(x,y / z) = u.
K(x,y / ((x \ z) * u)) = K(x,(x * y) / (z * u)).
K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)).
T(x,y / ((x * z) * u)) = x * K(x,y / (x * (z * u))).
x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)).
K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u.
K(x,((y * z) / u) \ x) = K(x,u / ((x \ y) * z)).
K(x,y / ((x \ z) * u)) = K(x,((z * u) / y) \ x).
K(x,y / ((x \ (z * u)) * w)) != v5 | K(x,y / ((z * (x \ u)) * w)) = v5.
K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x).
T(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)).
T(x,y / ((x * z) * u)) = T(x,y / (x * (z * u))).
x != T(y,z / (y * u)) | T(y,y \ (z / u)) = x.
T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)).
T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))).
R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u).
K(x,(y * z) / ((u * (x \ y)) * z)) != w | R(K(x,u \ x),y,z) = w.
R(K(x,y \ x),z,u) = K(x,(((y * z) * u) / (z * u)) \ x).
K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u).
K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u).
R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x).
R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x).
K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u).
R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u).
R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z).
R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w.
(R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z).
R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y.
T(x,R(x,y,z) \ u) = T(x,x \ u).
K(x,R(x,y,z) \ u) = x \ T(x,x \ u).
K(x,x \ y) = K(x,R(x,z,u) \ y).
K(x,R(x,y,z) \ u) = K(x,x \ u).
K(x,R(x,y,z) \ (u \ R(x,y,z))) != w | K(x,u \ 1) = w.
K(x,y \ 1) = K(x,x \ (y \ R(x,z,u))).
K(x,x \ (y \ R(x,z,u))) = K(x,y \ 1).
K(x,x \ ((x \ y) \ z)) != u | K(x,y \ z) = u.
K(x,y \ R(x,z,u)) = K(x,(x \ y) \ 1).
x != K(y,(z \ u) \ 1) | K(y,u \ z) = x.
K(x,y \ x) = K(x,y \ R(x,z,u)).
K(x,y \ R(x,z,u)) = K(x,y \ x).
R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y.
(R(x / y,z,u) \ x) \ x = R(y \ x,z,u).
K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w).
K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w).
R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x).
R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x).
K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5).
K(x,y) * K(T(y,x),R(x,z,u)) = K(y * x,y * R(x,z,u)).
K(x,y) * K(y,T(R(x,z,u),x)) = K(y * x,y * R(x,z,u)).
K(x,y) * K(y,R(x,z,u)) = K(y * x,y * R(x,z,u)).
K(x * y,x * R(y,z,u)) = K(y,x) * K(x,R(y,z,u)).
R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w.
K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)).
K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)).
K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))).
K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)).
L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)).
L((x \ 1) * L((x \ 1) \ 1,y,z),x,u) = (x \ u) \ ((x \ (u / x)) * L(x,y,z)).
L(x \ L(x,y,z),x,u) = (x \ u) \ ((x \ (u / x)) * L(x,y,z)).
(x \ y) \ ((x \ (y / x)) * L(x,z,u)) = L(x \ L(x,z,u),x,y).
K(x,y / ((z * (K(u,x) * w)) * v5)) != v6 | K(x,y / ((z * w) * v5)) = v6.
K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) = K(R(x,K(y * z,x) * y,z),u \ x).
K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)).
x / (x * ((y \ 1) * (y / x))) = ((y \ 1) * (y / x)) \ 1.
x / ((y \ x) * (x \ y)) = ((y \ 1) * (y / x)) \ 1.
((x \ 1) * (x / y)) \ 1 = y / ((x \ y) * (y \ x)).
x != y / ((z \ u) * (u \ z)) | ((u \ z) * (z \ u)) \ y = x.
((x \ y) * (y \ x)) \ x = ((y \ 1) * (y / x)) \ 1.
((x \ 1) * (x / y)) \ 1 = ((y \ x) * (x \ y)) \ y.
x != ((y \ z) * (z \ y)) \ y | L(y,z \ y,y \ z) = x.
L(x,y \ x,x \ y) = ((y \ 1) * (y / x)) \ 1.
x != (y * z) \ 1 | (z * y) \ K(z,y) = x.
((x / y) * (x \ 1)) \ K(x / y,x \ 1) = L(y,x \ y,y \ x).
L(x,y \ x,x \ y) = ((y / x) * (y \ 1)) \ K(y / x,y \ 1).
L(x,y \ x,x \ y) = ((y / x) * (y \ 1)) \ K(y,y / x).
L(x,y \ x,x \ y) = ((y / x) * (y \ 1)) \ K(x,y).
x != ((y / z) * u) \ K(z,y) | ((z \ y) * u) \ 1 = x.
((x \ y) * (y \ 1)) \ 1 = L(x,y \ x,x \ y).
L(x,y \ x,x \ y) = ((x \ y) * (y \ 1)) \ 1.
L(x \ y,x,(x \ y) \ (x \ (y / x))) = (((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1.
(((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,(x \ y) \ (x \ (y / x))).
(((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,L(x \ 1,x,y)).
(L(x \ 1,x,y) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,L(x \ 1,x,y)).
L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))) = (x * L(x \ 1,x,y)) \ (x \ y).
L(x \ y,x,(x \ y) \ (x \ (y / x))) = (x * L(x \ 1,x,y)) \ (x \ y).
L(x \ y,x,L(x \ 1,x,y)) = (x * L(x \ 1,x,y)) \ (x \ y).
(x * L(x \ 1,x,y)) \ (x \ y) = L(x \ y,x,L(x \ 1,x,y)).
K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)).
x != K(R(y,z,u),w * K(v5,y)) | K(R(y,z,u),w) = x.
K(R(x,y,z),u) = K(R(w \ (w * x),y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))).
K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w).
K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u).
K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u).
K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u).
((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = (x \ ((x \ 1) \ y)) / y.
x != (y \ ((y \ 1) \ z)) / z | a(y,y \ 1,z) = x.
a(x,x \ 1,y) = ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)).
((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = a(x,x \ 1,y).
((x \ 1) \ y) \ (((x \ 1) \ (y / (x \ 1))) * L(x \ 1,x,y)) = a(x,x \ 1,y).
(x \ y) \ ((x \ (y / x)) * L(x,z,u)) != w | L(x \ L(x,z,u),x,y) = w.
L((x \ 1) \ L(x \ 1,x,y),x \ 1,y) = a(x,x \ 1,y).
L(x * L(x \ 1,x,y),x \ 1,y) = a(x,x \ 1,y).
L(x * L(x \ 1,x,y),z,y) != u | x * L(x \ 1,x,y) = u.
x * L(x \ 1,x,y) = a(x,x \ 1,y).
(K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5).
(T(x,y) * ((T(x,y) * y) \ x)) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))).
(R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w).
K(x,y) = R(K(x,y),R(T(x,z),u,w),v5).
R(K(x,y),R(T(x,z),u,w),v5) = K(x,y).
R(K(x,y),R(x,z,u),w) = K(x,y).
K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)).
(T(x,y) * (T(x * y,y) \ x)) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))).
(T(x,y) * (x / (x * y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))).
(x * (T(x,y) / (x * y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))).
(x * (x \ (x / y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))).
T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y * (y \ (y / x))) \ (z * ((x \ y) / T(y,x))).
(x / y) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))).
T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * ((x \ y) / T(y,x))).
T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * ((T(y,x) * x) \ y)).
T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * (T(y * x,x) \ y)).
T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * (y / (y * x))).
T(x \ y,y) \ (z * T(y \ (y / x),T(y,x))) = (y / x) \ (z * (y / (y * x))).
T(x \ y,y) \ (z * T(y \ (x \ y),K(y,x))) = (y / x) \ (z * (y / (y * x))).
T(x \ y,y) \ (z * (y \ (x \ y))) = (y / x) \ (z * (y / (y * x))).
K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y).
K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)).
x != K((y \ z) \ z,u) | K(y,T(u,z)) = x.
K(x,T(y \ (R(x,z,u) * w),w)) = K(T(x,R(x,z,u) * (x \ w)),(R(x,z,u) \ y) \ w).
K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)).
x != K(y,T(z \ (R(y,u,w) * v5),v5)) | K(y,(R(y,u,w) * v5) / z) = x.
K(x,(R(x,y,z) * u) / w) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u).
K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w).
K(T(x,y * (x \ z)),u) != w | K(x,T(u,y * z)) = w.
K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u).
K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5.
K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u).
K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w).
K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)).
K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5.
K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)).
K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w.
K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)).
K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)).
K(x,y / (R(x,z,u) \ w)) != v5 | K(x,(y * R(x,z,u)) / w) = v5.
K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)).
K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) != w | K(R(x,K(y * z,x) * y,z),u \ x) = w.
K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)).
K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)).
K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5.
K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)).
K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x).
K(x,y \ R(x,z,u)) != w | K(x,y \ x) = w.
K(x,R(y,z,u) \ x) = K(R(x,z,u),y \ x).
K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x).
K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) != v7 | K(R(x,y,z),u) = v7.
K(R(x,y,z),u) = K(x,R(R(x / u,u,L(K(w,x),v5,v6)),y,z) \ x).
K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y).
K(x,R(R(x / y,z,u),w,v5) \ x) != v6 | R(R(K(x,y),z,u),w,v5) = v6.
R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y).
R(K(x,y),z,u) = K(R(x,z,u),y).
R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)).
R(K(x,y),z,u) = K(x,R(y,z,u)).
R(K(x,y),z,u) != w | K(R(x,z,u),y) = w.
K(R(x,y,z),u) = K(x,R(u,y,z)).
R(K(x / (y / z),u),x,z) != w | K((x * z) / y,u) = w.
K((x * y) / z,u) = K(x / (z / y),R(u,x,y)).
K(x / (y / z),R(u,x,z)) = K((x * z) / y,u).
K(R(x,x \ 1,y),z) != u | K(x,z) = u.
K(x,y) = K(x,R(y,x \ 1,z)).
K(x,R(y,x \ 1,z)) = K(x,y).
x \ K(x \ 1,y) = T(x \ 1,R(y,(x \ 1) \ 1,z)).
T(x \ 1,R(y,(x \ 1) \ 1,z)) = x \ K(x \ 1,y).
K(x / (1 / y),z) != u | K(x * y,z) = u.
K(x * y,R(z,x,y)) = K((x * y) / 1,z).
K(x * y,R(z,x,y)) = K(x * y,z).
((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z).
x != y \ K(y \ 1,z) | T(y \ 1,z) = x.
T(x \ 1,y) = T(x \ 1,R(y,(x \ 1) \ 1,z)).
T(x \ 1,R(y,(x \ 1) \ 1,z)) = T(x \ 1,y).
T(x \ 1,R(y,x,z)) = T(x \ 1,y).
T(x \ 1,y) * R(T(x \ 1,R(y,x,z)) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),R(y,x,z)).
((x * y) * z) * K(y * z,x) != u | ((y * z) * x) * a(x,y,z) = u.
((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y).
K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u).
K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u).
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u).
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u).
K(x,y) * K(y,R(x,z,u)) != w | K(y * x,y * R(x,z,u)) = w.
K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u).
K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = w.
a(K(x,y),z,u) = a(K(x,y),z * y,u).
a(K(x,y),z * y,u) = a(K(x,y),z,u).
K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u).
K(x,(x / y) * z) != u | K(x,x * (y \ z)) = 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(y \ x,y),z * y,u).
x != a(K(y \ z,y),u,w) | a(K(z,y),u,w) = x.
a(K(x,y),z * y,u) = K(x,x * (y \ R(y,z,u))).
K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u).
K(x,x * y) != z | K(x,y) = z.
K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u).
a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)).
T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u) = T((x \ 1) * R((x \ 1) \ 1,z,u),R(y,x,w)).
T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ 1,u) * R(T(x \ 1,u) \ 1,y,z).
x != T(y,z) * R(T(y,z) \ 1,u,w) | T(y * R(y \ 1,u,w),z) = x.
T((x \ 1) * R((x \ 1) \ 1,y,z),u) = T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)).
T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T((x \ 1) * R((x \ 1) \ 1,y,z),u).
T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),R(u,x,w)) = T(x \ R(x,y,z),u).
K(R(x,y,z),y \ R(y,u,w)) = (y \ R(y,u,w)) / T(y \ R(y,u,w),x).
K(x,y \ R(y,z,u)) = K(R(x,y,w),y \ R(y,z,u)).
K(R(x,y,z),y \ R(y,u,w)) = K(x,y \ R(y,u,w)).
K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w.
K(x,R(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)).
K(x,a(y,z,u)) = K(x,y \ R(y,z,u)).
K(x,y \ R(y,z,u)) = K(x,a(y,z,u)).
K(x,y \ R(y,z,u)) != w | a(K(x,y),z * y,u) = w.
a(K(x,y),z * y,u) = K(x,a(y,z,u)).
x != K(y,z) | K(y,y * z) = x.
K(x,x * a(y,z,u)) = a(K(x,y),z * y,u).
x != a(K(y,z),u * z,w) | a(K(y,z),u,w) = x.
a(K(x,y),z,u) = K(x,x * a(y,z,u)).
K(x,x * a(y,z,u)) = a(K(x,y),z,u).
K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w.
a(x,y,K(z,u)) = a(K(z,x),y,u).
a(K(x,y),z,u) = a(y,z,K(x,u)).
a(K(x,y),z,u) != w | a(K(x * y,y),z,u) = w.
a(K(x * y,y),z,u) = a(y,z,K(x,u)).
a(K(x,x \ y),z,u) != w | a(K(x,y),z,u) = w.
a(K(x,y),z,u) = a(x \ y,z,K(x,u)).
a(x \ y,z,K(x,u)) = a(K(x,y),z,u).
a(K(x \ y,y),z,u) = a(y,z,K(y / x,u)).
a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w.
a(x,y,K(z * x,u)) = a(x,y,K(z,u)).
x != a(K(y,z),u,w) | a(z,u,K(y,w)) = x.
a(x,y,K(z,u)) = a(z \ x,y,K(z,u)).
a(x \ y,z,K(x,u)) = a(y,z,K(x,u)).
a(x,y,K(z,u)) = a(x,y,K(z / x,u)).
a(x,y,K(z / x,u)) = a(x,y,K(z,u)).
a(x,y,K(z \ x,u)) = a(x,y,K(z \ 1,u)).
a(x,y,K(z \ 1,u)) = a(x,y,K(z \ x,u)).
a(x,y,K(z / x,u)) = a(z,y,K(z / x,u)).
a(x,y,K(z \ x,u)) = a(x,y,K(x / z,u)).
a(x,y,K(x / z,u)) = a(x,y,K(z \ x,u)).
a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w.
a(x,y,K(z,u)) = a(x,y,K(u \ x,z)).
a(x,y,K(z \ x,u)) = a(x,y,K(u,z)).
a(x,y,K(x / z,u)) != w | a(z,y,K(x / z,u)) = w.
a(x,y,K(z / x,u)) = a(z,y,K(x \ z,u)).
a(x,y,K(z \ x,u)) = a(z,y,K(x / z,u)).
x != a(y,z,K(u / y,w)) | a(y,z,K(u,w)) = x.
a(x,y,K(z,u)) = a(z,y,K(x \ z,u)).
a(x,y,K(z \ x,u)) = a(z,y,K(x,u)).
a(x,y,K(z \ x,u)) != w | a(x,y,K(u,z)) = w.
a(x,y,K(z,u)) = a(u,y,K(x,z)).
a(x,y,K(z,u)) != w | a(K(z,x),y,u) = w.
a(K(x,y),z,u) = a(u,z,K(y,x)).
K(x,y) * a(K(x,y),z,u) = L(K(x,y),z,u).
K(x,y) * a(K(x,y),z,u) != w | R(K(x,y),z,u) = w.
R(K(x,y),z,u) = L(K(x,y),z,u).
x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x.
K(x,L(y,z,u)) = R(K(x,y),z,u).
R(K(x,y),z,u) = K(x,L(y,z,u)).
K(R(x,y,z),u) = K(x,L(u,y,z)).
x != K(y,L(z,u,w)) | K(L(y,u,w),z) = x.
K(L(x,y,z),u) = K(R(x,y,z),u).
K(R(x,y,z),u) = K(L(x,y,z),u).
T(x,R(y,z,u)) = K(L(y,z,u),x) \ x.
K(L(x,y,z),u) \ u = T(u,R(x,y,z)).
T(x,L(y,z,u)) = T(x,R(y,z,u)).
T(x,R(y,z,u)) = T(x,L(y,z,u)).
T(x * y,R(T(z,x * y),x,y)) != u | T(x * y,(z * x) * y) = u.
T(x * y,(z * x) * y) = T(x * y,L(T(z,x * y),x,y)).
T(x * y,L(T(z,x * y),x,y)) = T(x * y,(z * x) * y).
T(x,L(T(y,x),z,u)) != w | T(x,L(y,z,u)) = w.
T(x * y,L(z,x,y)) = T(x * y,(z * x) * y).
T(x * y,(z * x) * y) = T(x * y,L(z,x,y)).
T(x * y,(z * x) * y) != u | T(x * y,z) = u.
T(x * y,z) = T(x * y,L(z,x,y)).
T(x * y,L(z,x,y)) = T(x * y,z).
T((x / y) * (x \ 1),((x \ 1) * (x / y)) \ 1) = T((x / y) * (x \ 1),y).
T(x * y,(y * x) \ z) != u | T(x * y,K(x,y) * z) = u.
T((x / y) * (x \ 1),K(x / y,x \ 1) * 1) = T((x / y) * (x \ 1),y).
T(x,K(y,z \ 1) * u) != w | T(x,K(z,y) * u) = w.
T((x / y) * (x \ 1),K(x,x / y) * 1) = T((x / y) * (x \ 1),y).
T((x / y) * (x \ 1),K(y,x) * 1) = T((x / y) * (x \ 1),y).
T((x / y) * (x \ 1),K(y,x)) = T((x / y) * (x \ 1),y).
T((x / y) * (x \ 1),K(x,y)) = T((x / y) * (x \ 1),y).
T((x / y) * (x \ 1),K(x,y)) != z | (x / y) * (x \ 1) = z.
(x / y) * (x \ 1) = T((x / y) * (x \ 1),y).
T((x / y) * (x \ 1),y) = (x / y) * (x \ 1).
T((x / y) * (x \ 1),y) != z | y \ ((x \ y) * (x / y)) = z.
x \ ((y \ x) * (y / x)) = (y / x) * (y \ 1).
T(x,y) \ ((y \ T(x,y)) * (x \ y)) = (y / T(x,y)) * (y \ 1).
T(x,y) \ (T(y \ x,y) * (x \ y)) = (y / T(x,y)) * (y \ 1).
T(x,y) \ ((x \ y) * T(y \ x,y)) = (y / T(x,y)) * (y \ 1).
T(x,y) \ ((y \ x) * (y / x)) = (y / T(x,y)) * (y \ 1).
T(x,y) \ ((y \ x) * (y / x)) = (x \ y) * (y \ 1).
T(x \ y,y) \ ((y \ (x \ y)) * x) = ((x \ y) \ y) * (y \ 1).
T(x \ y,x \ (y / x)) \ (x * ((x \ (y / x)) / (x \ y))) = ((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1).
T(x \ y,y) \ (x * (y \ (x \ y))) = ((x \ y) \ y) * (y \ 1).
T(x \ y,y) \ (x * (y \ (x \ y))) = T(x,y) * (y \ 1).
(x \ 1) * y = T(y \ x,x) \ (y * (x \ (y \ x))).
T(x \ y,y) \ (x * (y \ (x \ y))) = (y \ 1) * x.
T(x \ y,y) \ (z * (y \ (x \ y))) != u | (y / x) \ (z * (y / (y * x))) = u.
(x / y) \ (y * (x / (x * y))) = (x \ 1) * y.
(x / y) \ (y * ((y \ (x / y)) / (y \ x))) = ((y \ x) \ (y \ (x / y))) * ((y \ (x / y)) \ 1).
((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1) = (y / x) \ (x * ((x \ (y / x)) / (x \ y))).
((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1) = (y / x) \ (x * (y / (y * x))).
L(x \ 1,x,y) * ((x \ (y / x)) \ 1) = (y / x) \ (x * (y / (y * x))).
(x / y) \ (y * (x / (x * y))) = L(y \ 1,y,x) * ((y \ (x / y)) \ 1).
(x / y) \ (y * (x / (x * y))) != z | (x \ 1) * y = z.
(x \ 1) * y = L(y \ 1,y,x) * ((y \ (x / y)) \ 1).
L(x \ 1,x,y) * ((x \ (y / x)) \ 1) = (y \ 1) * x.
((x \ 1) * y) \ 1 = L(y \ x,y,L(y \ 1,y,x)).
L(x \ y,x,L(x \ 1,x,y)) = ((y \ 1) * x) \ 1.
L(x \ y,x,L(x \ 1,x,y)) != z | (x * L(x \ 1,x,y)) \ (x \ y) = z.
(x * L(x \ 1,x,y)) \ (x \ y) = ((y \ 1) * x) \ 1.
a(x,x \ 1,y) \ (x \ y) = ((y \ 1) * x) \ 1.
a(x,x \ 1,y) \ (x \ y) != z | (x \ 1) * y = z.
(x \ 1) * y = ((y \ 1) * x) \ 1.
((x \ 1) * y) \ 1 = (y \ 1) * x.
(x * y) \ 1 = (y \ 1) * (x \ 1).
(x \ 1) * (y \ 1) = (y * x) \ 1.
x != y \ 1 | 1 / y = x.
1 / (x * y) = (y \ 1) * (x \ 1).
(x \ 1) * (y \ 1) = 1 / (y * x).
(x \ 1) * (1 / y) = 1 / (y * x).

end_of_list.
