% ********************************************************************
% AIM:  middle Bol + 10 instances of aa1 => all 10 instances of aa2
%
%    The instances are those formed by renaming a single variable.
%
% The result is a single proof of the conjunction of the 10 goals.
%
% Special considerations for a nonunit denial:
%
%    Clear auto_process to avoid unit deletions.  This avoids the
%    problem of the results of unit deletion not being selected as
%    given or even kept.
%
%    Specify hyper resolution so that the final step shows the
%    resolution of all of the goals (rather than a UR resolution step
%    followed by unit conflict). 
%
%    Do not set restrict_denials, so hyper resolution can apply
%    to the nonunit denial.
% ********************************************************************

% avoid unit deletion of nonunit denial
clear(auto_process).

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

% avoid UR resolution with nonunit denial
clear(auto_inference).
set(paramodulation).
set(hyper_resolution).

set(para_from_small).
clear(cac_redundancy).

clear(back_demod).

assign(max_weight,5).

formulas(assumptions).

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

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

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

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

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

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

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

   % extra assumptions for this special case
   x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol").

   % 10 instances of aa1
   a(a(x,x,z),u,w) = 1 # label("aa1{x1/x2}").
   a(a(x,y,x),u,w) = 1 # label("aa1{x1/x3}").
   a(a(x,y,z),x,w) = 1 # label("aa1{x1/x4}").
   a(a(x,y,z),u,x) = 1 # label("aa1{x1/x5}").
   a(a(x,y,y),u,w) = 1 # label("aa1{x2/x3}").
   a(a(x,y,z),y,w) = 1 # label("aa1{x2/x4}").
   a(a(x,y,z),u,y) = 1 # label("aa1{x2/x5}").
   a(a(x,y,z),z,w) = 1 # label("aa1{x3/x4}").
   a(a(x,y,z),u,z) = 1 # label("aa1{x3/x5}").
   a(a(x,y,z),u,u) = 1 # label("aa1{x4/x5}").

end_of_list.

formulas(goals).

   % 10 instances of aa2

   a(x,a(x,z,u),w) = 1
      & a(x,a(y,x,u),w) = 1
      & a(x,a(y,z,x),w) = 1
      & a(x,a(y,z,u),x) = 1
      & a(x,a(y,y,u),w) = 1
      & a(x,a(y,z,y),w) = 1
      & a(x,a(y,z,u),y) = 1
      & a(x,a(y,z,z),w) = 1
      & a(x,a(y,z,u),z) = 1
      & a(x,a(y,z,u),u) = 1 # label("aa2 instances").

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).

% 10 instances of aa2

a(x,a(x,z,u),w) = 1 # label("aa2{x1/x2}").
a(x,a(y,x,u),w) = 1 # label("aa2{x1/x3}").
a(x,a(y,z,x),w) = 1 # label("aa2{x1/x4}").
a(x,a(y,z,u),x) = 1 # label("aa2{x1/x5}").
a(x,a(y,y,u),w) = 1 # label("aa2{x2/x3}").
a(x,a(y,z,y),w) = 1 # label("aa2{x2/x4}").
a(x,a(y,z,u),y) = 1 # label("aa2{x2/x5}").
a(x,a(y,z,z),w) = 1 # label("aa2{x3/x4}").
a(x,a(y,z,u),z) = 1 # label("aa2{x3/x5}").
a(x,a(y,z,u),u) = 1 # label("aa2{x4/x5}").

% hints from proof

a(x,a(x,y,z),u) = 1 & a(x,a(w,x,z),u) = 1 & a(x,a(w,y,x),u) = 1 & a(x,a(w,y,z),x) = 1 & a(x,a(w,w,z),u) = 1 & a(x,a(w,y,w),u) = 1 & a(x,a(w,y,z),w) = 1 & a(x,a(w,y,y),u) = 1 & a(x,a(w,y,z),y) = 1 & a(x,a(w,y,z),z) = 1.
1 * x = x.
x * 1 = x.
x \ (x * y) = y.
x * (x \ y) = y.
(x * y) / y = x.
(x / y) * y = x.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
(x * y) \ (y * x) = K(y,x).
(x * y) \ (x * (y * z)) = L(z,y,x).
((x * y) * z) / (y * z) = R(x,y,z).
x \ (y * x) = T(y,x).
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
T(R(x,y,z),u) = R(T(x,u),y,z).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
x * ((y * z) \ x) = (x / z) * (y \ x).
(x / y) * (z \ x) = x * ((z * y) \ x).
a(a(x,x,y),z,u) = 1.
a(a(x,y,z),u,x) = 1.
a(a(x,y,z),y,u) = 1.
a(a(x,y,z),u,y) = 1.
a(a(x,y,z),z,u) = 1.
a(a(x,y,z),u,z) = 1.
a(a(x,y,z),u,u) = 1.
x * y != z | x * u != z | y = u.
x * y != z | u * y != z | x = u.
x / y != z | x / u != z | y = u.
x / y != z | u / y != z | x = u.
x \ y != z | x \ u != z | y = u.
x \ y != z | u \ y != z | x = u.
T(x,y) != z | T(u,y) != z | x = u.
L(x,y,z) != u | L(w,y,z) != u | x = w.
R(x,y,z) != u | R(w,y,z) != u | x = w.
x * y != x * z | y = z.
x * y != z * y | x = z.
x / y != x / z | y = z.
x / y != z / y | x = z.
x \ y != x \ z | y = z.
x \ y != z \ y | x = z.
T(x,y) != T(z,y) | x = z.
L(x,y,z) != L(u,y,z) | x = u.
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.
a(c1,a(c1,c2,c3),c4) != 1 | a(c1,a(c5,c1,c3),c4) != 1 | a(c1,a(c5,c2,c1),c4) != 1 | a(c1,a(c5,c2,c3),c1) != 1 | a(c1,a(c5,c5,c3),c4) != 1 | a(c1,a(c5,c2,c5),c4) != 1 | a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
1 \ x = x.
x \ x = 1.
(x * (x \ 1)) * y = y.
x * (y * (y \ 1)) = x.
x * (y * (y \ (x \ z))) = z.
x / (y \ x) = y.
(x / y) \ x = y.
(x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y).
(x * y) * K(y,x) = y * x.
x \ ((y \ x) * y) = K(y \ x,y).
((x \ y) * x) \ y = K(x,x \ y).
(x * y) * L(z,y,x) = x * (y * z).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
(x * y) \ (x * z) = L(y \ z,y,x).
L(x \ y,x,z) = (z * x) \ (z * y).
(x * y) / ((z \ x) * y) = R(z,z \ x,y).
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
x / (y * ((z * y) \ x)) = R(z,y,(z * y) \ x).
R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)).
R(x,y,z) * (y * z) = (x * y) * z.
(x * y) / (z * y) = R(x / z,z,y).
R(x / y,y,z) = (x * z) / (y * z).
T(x,x) = x.
x * T(y,x) = y * x.
(x \ y) \ y = T(x,x \ y).
T(x,x \ y) = (x \ y) \ y.
x \ y = T(y / x,x).
T(x / y,y) = y \ x.
T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y).
T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u).
(x / y) * (1 \ x) = x * (y \ x).
((x * y) / z) * y = (x * y) * ((x * z) \ (x * y)).
(x * y) * ((x * z) \ (x * y)) = ((x * y) / z) * y.
(x * ((y * z) \ x)) / (y \ x) = x / z.
x != y | 1 * z != y | x = z.
1 * x != y | z != y | x = z.
x != y | x * z != y | 1 = z.
x != y | z * u != y | z \ x = u.
x != y | z * x != y | 1 = z.
x * 1 != y | z != y | x = z.
x != y | z * u != y | x / u = z.
x != y | z / u != y | x * u = z.
x != y | z \ u != y | z * x = u.
1 * x != y | x = y.
x != y * z | y \ x = z.
x * y != z | x \ z = y.
(x / y) * (z \ x) != x * u | (z * y) \ x = u.
x != y * 1 | x = y.
x * 1 != y | y = x.
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.
a(x,y,z) != u \ ((x * y) * z) | x * (y * z) = u.
x \ ((y * z) * u) != a(y,z,u) | y * (z * u) = x.
T(T(x,y),z) != T(u,y) | T(x,z) = u.
L(x,y,a(z,u,x)) = x.
L(x,y,a(z,u,y)) = x.
L(x,y,a(z,x,u)) = x.
L(x,y,a(z,y,u)) = x.
L(x,y,a(x,z,u)) = x.
L(x,y,a(z,z,u)) = x.
((x / y) * y) * z = x * z.
(x * (x \ y)) * z = y * z.
x * (y * (y \ z)) = x * z.
x * (y \ (y * z)) = x * z.
x * (y * 1) = x * y.
((x / y) * y) / z = x / z.
(x * (x \ y)) \ z = y \ z.
x != y | (x / z) * z = y.
(x / y) * y = (x * z) / z.
(x * y) / y = (x / z) * z.
(x / y) * y = x * 1.
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 * z)) / L(z,y,x) = x * y.
x \ ((x * y) * L(z,y,x)) = y * z.
x * L(y,z \ x,z) = z * ((z \ x) * y).
x * L(y,z,x / z) = (x / z) * (z * y).
(x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y).
L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)).
(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) \ x) * z = y * z.
x \ (y * z) != T(y,z) | z = x.
x = (y * x) / T(y,x).
(x * y) / T(x,y) = y.
x * (y * z) = ((x * y) * z) / a(x,y,z).
((x * y) * z) / a(x,y,z) = x * (y * z).
R(x,y,z) \ ((x * y) * z) = y * z.
(x / y) * z = x * (((x / z) * y) \ x).
x * (((x / y) * z) \ x) = (x / z) * y.
x != y | z \ u != y | u / x = z.
x != y \ z | z / x = y.
x \ y != z | y / z = x.
((x / (y / z)) \ x) \ y = z.
(x * (x \ 1)) \ y = y.
x * y != ((x * z) / u) * u | z = y.
x = T((y * x) / y,y).
T((x * y) / x,x) = y.
(x * T(y,x)) / x = y.
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
T(x,y) \ (x * y) = T(y,T(x,y)).
x * T(T(y,x),z) = T(y,z) * x.
x * L(T(y,x),z,u) = L(y,z,u) * x.
x * R(T(y,x),z,u) = R(y,z,u) * x.
x * y != z | y * u != z | T(x,y) = u.
x * y != y * z | T(x,y) = z.
x * y != z * x | T(z,x) = y.
(x * y) * L(z,T(x,y),y) = y * (T(x,y) * z).
x \ (x * y) != z * u | z \ y = u.
x * (x \ y) != z \ u | z * y = u.
x \ y != z * (z \ u) | x * u = y.
(x * y) / L(z \ y,z,x) = x * z.
L(x \ 1,x,y) = (y * x) \ y.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(x \ (y \ z),x,y) = (y * x) \ z.
T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x).
L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u).
L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
x / L(y \ 1,y,x) = x * y.
(x * y) / L(z,y / z,x) = x * (y / z).
L(x,y,1) = x.
(a(x,x,y) * z) * u = a(x,x,y) * (z * u).
(x * y) \ (((x * y) / z) * y) = (x * z) \ (x * y).
(x * y) * L(z \ y,z,x) = ((x * y) / z) * y.
((x * y) / z) * y != u | (x * y) * L(z \ y,z,x) = u.
(x * 1) * L(y \ 1,y,x) = (x * 1) / y.
L(x,y,a(z,z,u)) != w | x = w.
(a(x,x,y) \ z) \ u = z \ (a(x,x,y) * u).
T(x \ (y * z),u) = L(T((y \ x) \ z,u),y \ x,y).
L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u).
R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y).
L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w).
L(x \ (y * z),u,w) = L(L((y \ x) \ z,u,w),y \ x,y).
L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w).
x / (y \ (a(z,z,u) * x)) = a(z,z,u) \ y.
x * y != z | x * (u * (u \ y)) = z.
x * (y * (y \ z)) = u * (u \ (x * z)).
x * (x \ (y * z)) = y * (u * (u \ z)).
(a(x,x,y) * (z * u)) \ (u * (a(x,x,y) * z)) = K(u,a(x,x,y) * z).
x \ (a(y,y,z) \ u) = (a(y,y,z) * x) \ u.
(a(x,x,y) * z) \ u = z \ (a(x,x,y) \ u).
L(x \ (y \ z),x,y) != u | (y * x) \ z = u.
(a(x,y,z) * z) \ u = z \ (a(x,y,z) \ u).
(a(x,y,z) * z) * u = a(x,y,z) * (z * u).
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.
x * L(x \ (y * x),z,u) = L(y,z,u) * x.
x * L(x,y,z) = L(x,y,z) * x.
L(x,y,z) * x = x * L(x,y,z).
L(x,y \ 1,y) = y * ((y \ 1) * x).
x * ((x \ 1) * y) = L(y,x \ 1,x).
x \ (y * L(z,x \ y,x)) = (x \ y) * z.
x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)).
x \ L(y,x \ 1,x) = (x \ 1) * y.
x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u).
a(x,x,y) \ z = (a(x,x,y) \ 1) * z.
(a(x,x,y) \ 1) * z = a(x,x,y) \ z.
L(x,y,1 / y) = (1 / y) * (y * x).
(1 / x) * (x * y) = L(y,x,1 / x).
L(T(x,y),y,z) != (z * y) \ u | z * (x * y) = u.
(x / y) * x = x * (y \ x).
1 / x = 1 * (x \ 1).
1 * (x \ 1) = 1 / x.
T(x / y,x) = y \ x.
x \ y != z | T(y / x,y) = z.
T(x / (x / 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.
x \ 1 = 1 / x.
1 / x = x \ 1.
(x \ 1) * x = 1.
(x \ 1) * (y \ 1) = 1 * ((y * x) \ 1).
(x \ 1) \ 1 = x.
((x \ 1) \ 1) * y = x * y.
x != y \ 1 | x \ 1 = y.
x \ 1 != y | y \ 1 = x.
1 * ((x * y) \ 1) != z | (y \ 1) * (x \ 1) = z.
(x \ 1) * (y \ 1) = (y * x) \ 1.
((x * y) \ 1) \ ((x \ 1) * (y \ 1)) = K(x \ 1,y \ 1).
((x * y) \ 1) \ ((y \ 1) * ((x \ 1) * z)) = L(z,x \ 1,y \ 1).
((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1).
(x \ 1) * y = ((1 / y) * x) \ 1.
((1 / x) * y) \ 1 = (y \ 1) * x.
(x \ 1) * y = ((y \ 1) * x) \ 1.
((x \ 1) * y) \ 1 = (y \ 1) * x.
(x \ 1) * y != z \ 1 | (y \ 1) * x = z.
x \ 1 != (y \ 1) * z | (z \ 1) * y = x.
(x \ 1) * ((y \ 1) * z) = (((z \ 1) * y) * x) \ 1.
(((x \ 1) * y) * z) \ 1 = (z \ 1) * ((y \ 1) * x).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
x / L(y,1 / y,x) = x * (1 / y).
x / L(y,y \ 1,x) = x * (1 / y).
x / L(y,y \ 1,x) = x * (y \ 1).
(x * a(y,z,u)) * z = a(y,z,u) * (T(x,a(y,z,u)) * z).
a(x,y,z) * (T(u,a(x,y,z)) * y) = (u * a(x,y,z)) * y.
x * (y * (y \ z)) != u | x * z = u.
R(x,y,y \ z) * z = (x * y) * (y \ z).
x * (y * z) != (a(u,u,w) * y) * z | a(u,u,w) = x.
a(x,x,y) = R(a(x,x,y),z,u).
R(a(x,x,y),z,u) = a(x,x,y).
((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u).
(x * y) \ ((z * x) * y) = T(R(z,x,y),x * y).
T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z.
L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z.
(x * y) * z != u * (y * z) | R(x,y,z) = u.
T(x \ y,z) = T(T(y / x,z),x).
T(T(x / y,z),y) = T(y \ x,z).
T(x * y,L(y \ z,y,x)) = L(y \ z,y,x) \ (x * z).
x * L(x \ y,z,u) = L(y / x,z,u) * x.
L(x / y,z,u) * y = y * L(y \ x,z,u).
T(x * (y * z),a(x,y,z)) = a(x,y,z) \ ((x * y) * z).
a(x,y,z) \ ((x * y) * z) = T(x * (y * z),a(x,y,z)).
x * T(x \ y,z) = T(y / x,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
T(x \ y,x) = T(x \ y,y).
T(x \ y,y) = T(x \ y,x).
((x * y) * z) / T(x * (y * z),a(x,y,z)) = a(x,y,z).
a(x,y,(x * y) \ z) \ z = T(x * (y * ((x * y) \ z)),a(x,y,(x * y) \ z)).
T(x * (y * ((x * y) \ z)),a(x,y,(x * y) \ z)) = a(x,y,(x * y) \ z) \ z.
a(x,y,z) != ((x * y) * z) / u | T(x * (y * z),a(x,y,z)) = u.
((x * y) * z) / u != a(x,y,z) | T(x * (y * z),a(x,y,z)) = u.
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
L(x \ 1,y,z) * x = x * L(x \ 1,y,z).
T(x,R(T(x,y),z,u)) = x.
(x \ y) \ y != z | T(x,x \ y) = z.
T(x,x \ 1) = x.
(x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y).
x != y | z / (x \ z) = y.
x / (y \ x) = (y * z) / z.
(x * y) / y = z / (x \ z).
x * (y \ z) = z * ((y * (x \ z)) \ z).
x * ((y * (z \ x)) \ x) = z * (y \ x).
x != y / z | x \ y = z.
x / y != z | z \ x = y.
T(x,y) = (x \ y) \ y.
(x \ y) \ y = T(x,y).
T(x,x \ y) = T(x,y).
(x \ 1) \ 1 != y | x = y.
x = T(x,1).
T(x,1) = x.
T(x,y) != z | (x \ y) \ y = z.
((x \ y) \ y) \ y = T(x \ y,x).
T(x \ y,x) = ((x \ y) \ y) \ y.
(R(x,y,z) \ u) \ u = R(T(x,u),y,z).
x / T(y,x) = y \ x.
(x \ y) * T(x,y) = y.
(x / y) * T(z,x) = x * (((z \ x) * y) \ x).
x * (((y \ x) * z) \ x) = (x / z) * T(y,x).
T(x,y) != z \ y | x \ y = z.
T(x,y) \ y = T(x \ y,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.
R(x,y,z) / x = x \ R(x,y,z).
x / L(x,y,z) = L(x,y,z) \ x.
x / L(y \ x,z,u) = L(x / y,z,u) \ x.
T(L(x,y,z) \ x,x) = L(x,y,z) \ x.
T(x,L(x,y,z) \ x) = x.
(R(x,y,z) / x) \ u = (x \ R(x,y,z)) \ u.
T(x,y) != z | T(x,x \ y) = z.
T(x,x \ R(x,y,z)) = x.
T(x,y) = T(x,x * y).
T(x,x * y) = T(x,y).
T(x * (y * z),a(x,y,z)) = T(x * (y * z),(x * y) * z).
T(x * (y * z),(x * y) * z) = T(x * (y * z),a(x,y,z)).
T(x * y,L(z,y,x)) = T(x * y,x * (y * z)).
T(x * y,x * (y * z)) = T(x * y,L(z,y,x)).
T(x,T(y,x)) = T(x,y * x).
T(x,y * x) = T(x,T(y,x)).
(x \ y) * L(T(x,y),z,u) = L(x,z,u) * (x \ y).
(x * y) * T(x,y) = x * (x * y).
(x * y) * L(T(x,y),z,u) = L(x,z,u) * (x * y).
T(x \ y,y) != z \ y | T(x,y) = z.
T(x * y,x) = L(y \ 1,y,x) \ x.
L(x \ 1,x,y) \ y = T(y * x,y).
(x * y) * a(x,z,z \ y) = (x * z) * (z \ y).
x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1).
L(x,y,z) / x = x \ L(x,y,z).
x * T(x,y) = T(x,y) * x.
T(x,y) * x = x * T(x,y).
(x \ y) * T(T(x,y),z) = T(x,z) * (x \ y).
(L(x / y,z,u) \ x) \ x = L(y \ x,z,u).
(1 / x) * y = L(x \ y,x,1 / x).
L(x \ y,x,1 / x) = (1 / x) * y.
(1 / x) * (x * y) = L(y,x,x \ 1).
(x \ 1) * (x * y) = L(y,x,x \ 1).
L(x,y,y \ 1) \ 1 = ((y * x) \ 1) * y.
x * L(y \ 1,y,x) = (x * 1) / y.
x * L(y \ 1,y,x) = x / y.
x \ (x / y) = L(y \ 1,y,x).
L(x \ 1,x,y) = y \ (y / x).
x * L(y,y \ 1,x) = x / (y \ 1).
L(x \ y,x,z) != u | (z * x) \ (z * y) = u.
(x * y) \ (x * 1) = x \ (x / y).
L(a(x,y,z) \ 1,a(x,y,z),(x * y) * z) = ((x * y) * z) \ (x * (y * z)).
(x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)).
L((x \ y) \ 1,x \ y,y) = y \ x.
(x * (y \ x)) * L(x \ y,z,u) = x * ((y \ x) * L((y \ x) \ 1,z,u)).
x * ((y \ x) * L((y \ x) \ 1,z,u)) = (x * (y \ x)) * L(x \ y,z,u).
x / (x \ y) = x * (y \ x).
(x * (y \ x)) * (x \ y) = x.
x / y = x * ((x * y) \ x).
x * ((x * y) \ x) = x / y.
x / (x \ 1) = x * x.
T(x * (y \ x),x) = (x \ y) \ x.
x \ (y * (z \ x)) = (z * (y \ x)) \ x.
(x * (y \ z)) \ z = z \ (y * (x \ z)).
(x * (1 \ y)) \ y = y \ (x \ y).
(x \ 1) * y = L(x \ y,x,x \ 1).
L(x \ y,x,x \ 1) = (x \ 1) * y.
(x \ 1) \ L(y,x,x \ 1) = x * y.
L(x,y,y \ 1) \ (((y \ 1) * y) * x) = a(y \ 1,y,x).
T((x \ 1) * y,z) = L(T(x \ y,z),x,x \ 1).
L(T(x \ y,z),x,x \ 1) = T((x \ 1) * y,z).
L((x \ 1) * y,z,u) = L(L(x \ y,z,u),x,x \ 1).
L(L(x \ y,z,u),x,x \ 1) = L((x \ 1) * y,z,u).
R(x / y,y,z) \ (x * z) = y * z.
R(1 / x,x,y) = y / (x * y).
L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w).
L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5.
(L(x / y,z,u) * y) * w = (y * w) * L((y * w) \ (x * w),z,u).
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
(x * y) * L((x * y) \ (z * y),u,w) != v5 | L(R(z / x,x,y),u,w) * (x * y) = v5.
L(R(x / y,y,z),z,y) * (y * z) = y * (z * ((y * z) \ (x * z))).
L(R(1 / x,x,y),z,u) * (x * y) = (x * y) * L((x * y) \ y,z,u).
L(R((x * y) / x,x,y),z,u) * (x * y) = (x * y) * L(y,z,u).
(L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u).
(x * L(x \ (x * y),z,u)) * y = (x * y) * L(y,z,u).
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
(x * y) * L(y,z,u) != w | (x * L(y,z,u)) * y = w.
((x / y) * L(y,z,u)) * y = x * L(y,z,u).
(x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y.
R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z).
K(x,x \ 1) = 1.
T(x,T(x,y) \ 1) = x.
x / T(x,y) = T(x,y) \ x.
(x * (y \ x)) / ((x \ y) \ x) = T(x * (y \ x),x) \ (x * (y \ x)).
T(x * (y \ x),x) \ (x * (y \ x)) = (x * (y \ x)) / ((x \ y) \ x).
((x * y) \ 1) \ ((y * x) \ 1) = K(x \ 1,y \ 1).
(x * (y \ x)) / (z \ x) = x / (z \ y).
(x * T(y,x)) / (z \ x) = x / (z \ (y \ x)).
(x * (y \ z)) / (u \ z) = z / (u \ (y * (x \ z))).
(x * y) / (z \ y) = y / (z \ (x \ y)).
((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) != u | R(x,y \ 1,z \ 1) = u.
R(x,y \ 1,z \ 1) = 1 / ((z * y) \ (z * ((x * (y \ 1)) \ 1))).
1 / ((x * y) \ (x * ((z * (y \ 1)) \ 1))) = R(z,y \ 1,x \ 1).
1 / ((x * y) \ (x * (1 \ (y * (z \ 1))))) = R(z,y \ 1,x \ 1).
1 / ((x * y) \ (x * (y * (z \ 1)))) = R(z,y \ 1,x \ 1).
1 / L(x \ 1,y,z) = R(x,y \ 1,z \ 1).
1 / x != y | x \ 1 = y.
L(x \ 1,y,z) \ 1 = R(x,y \ 1,z \ 1).
L(x,y,z) \ 1 = R(x \ 1,y \ 1,z \ 1).
R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1.
(((x * y) * z) \ (x * (y * z))) \ 1 = R(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1).
R(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1) = (((x * y) * z) \ (x * (y * z))) \ 1.
R(x \ 1,y \ 1,z \ 1) != u \ 1 | L(x,y,z) = u.
R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ 1.
L(x,y \ 1,z) \ 1 = R(x \ 1,y,z \ 1).
R(x \ 1,y \ 1,z) = L(x,y,z \ 1) \ 1.
L(x,y,z \ 1) \ 1 = R(x \ 1,y \ 1,z).
x \ 1 != R(y \ 1,z \ 1,u \ 1) | L(y,z,u) = x.
L(x,y,z) = L(x,(y \ 1) \ 1,z).
L(x,(y \ 1) \ 1,z) = L(x,y,z).
x \ ((((x / y) * y) / z) * y) = ((x / y) * z) \ ((x / y) * y).
((x / y) * z) \ ((x / y) * y) = x \ ((((x / y) * y) / z) * y).
1 != x | K(y,y \ 1) = x.
K(x,x \ 1) = K(y,y \ 1).
K(x \ 1,x) = 1.
K(x,R(T(x,y),z,u)) = 1.
x * ((L(y,z,u) * (y \ x)) \ x) = (x / L(T(y,x),z,u)) * T(y,x).
(x / L(T(y,x),z,u)) * T(y,x) = x * ((L(y,z,u) * (y \ x)) \ x).
x * ((L(y,z,u) * (y \ x)) \ x) != w | (x / L(T(y,x),z,u)) * T(y,x) = w.
(x / L(T(y,x),z,u)) * T(y,x) = y * (L(y,z,u) \ x).
(x \ 1) * L(y,z,u) != w | x \ L(L(y,x \ 1,x),z,u) = w.
x \ L(L((x \ 1) \ y,x \ 1,x),z,u) = L(y / (x \ 1),z,u) * (x \ 1).
x \ L(1 \ (x * y),z,u) = L(y / (x \ 1),z,u) * (x \ 1).
L(x / (y \ 1),z,u) * (y \ 1) = y \ L(1 \ (y * x),z,u).
L(x / (y \ 1),z,u) * (y \ 1) = y \ L(y * x,z,u).
L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w.
(x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u).
(x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z).
(x \ 1) * ((y * (x \ 1)) \ z) = x \ L(x * (y \ z),x \ 1,y).
x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z).
(x \ 1) * L(x,y,z) = x \ L(x,y,z).
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).
(x \ L(x,y,z)) \ 1 = (L(x,y,z) \ 1) * x.
((x / y) * z) \ ((x / y) * y) = x \ ((x / z) * y).
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
L(x,y,z / (y * x)) = z \ ((z / y) * (y * x)).
((x / y) * z) \ x = x \ ((x / z) * y).
(x * y) \ y = y \ (x \ y).
x \ (y \ x) = (y \ x) \ (y \ (y \ x)).
(x \ y) \ (x \ (x \ y)) = y \ (x \ y).
x \ y = y \ ((x / y) \ y).
x \ ((y / x) \ x) = y \ x.
(x * y) \ T(x,y) = T(x,y) \ (y \ T(x,y)).
T(x,y) \ (y \ T(x,y)) = (x * y) \ T(x,y).
x * (y \ x) = (y / x) \ x.
(x / y) \ y = y * (x \ y).
(x / y) * (y * (x \ y)) = y.
x / (x * (y \ x)) = y / x.
x \ (x \ y) = (x \ y) * (y \ (x \ y)).
(x \ y) * (y \ (x \ y)) = x \ (x \ y).
x / (x * y) = (x / y) / x.
(x / y) / x = x / (x * y).
x / (x * T(y,x)) = (y \ x) / x.
x / (y * (z \ x)) = (z * (y \ x)) / x.
(x * (y \ z)) / z = z / (y * (x \ z)).
T(R(x,y,z),y * z) != u | (y * z) \ ((x * y) * z) = u.
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
R(1 / x,x,y) \ y = x * y.
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
T(x * y,x \ (x / y)) = L(y \ 1,y,x) \ (x * 1).
T(x * y,x \ (x / y)) = L(y \ 1,y,x) \ x.
T(x * y,x \ (x / y)) = (x \ (x / y)) \ x.
x \ y != T(z,x) | z * x = y.
(x * y) * (x \ (x / y)) = x.
(x * y) \ x = x \ (x / y).
x \ (x / y) = (x / y) \ ((x / y) / y).
(x / y) \ ((x / y) / y) = x \ (x / y).
(x * (y * z)) \ (x * y) = (x * y) \ ((x * y) / L(z,y,x)).
(x * y) \ ((x * y) / L(z,y,x)) = (x * (y * z)) \ (x * y).
(x * (x \ (x / y))) / (z \ x) = x / (z \ (x * y)).
x / (x * (x \ (x / y))) = (x * y) / x.
(x / y) / (z \ x) = x / (z \ (x * y)).
x / (y \ z) = z / (y \ (z * (x \ z))).
x / (y \ (x * (z \ x))) = z / (y \ x).
(x / (y \ z)) \ z = y \ (z * (x \ z)).
(x / (y \ 1)) \ 1 = y \ (x \ 1).
(x \ (y \ 1)) \ 1 = y / (x \ 1).
(x / y) \ 1 = (y \ 1) \ (x \ 1).
(x \ 1) \ (y \ 1) = (y / x) \ 1.
((x * y) \ 1) \ ((y * x) \ 1) != z | K(x \ 1,y \ 1) = z.
K(x \ 1,y \ 1) = ((y * x) / (x * y)) \ 1.
((x * y) / (y * x)) \ 1 = K(y \ 1,x \ 1).
(x / y) \ 1 != z | (y \ 1) \ (x \ 1) = z.
(x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1.
(x \ 1) \ y = ((y \ 1) / x) \ 1.
((x \ 1) / y) \ 1 = (y \ 1) \ x.
(x \ 1) \ ((y \ 1) * ((z \ 1) * u)) = ((((u \ 1) * z) * y) / x) \ 1.
((x \ 1) \ y) \ 1 = (y \ 1) / x.
((x \ 1) * (y \ 1)) \ 1 = (L(y,y \ 1,x \ 1) \ 1) \ x.
(L(x,x \ 1,y \ 1) \ 1) \ y = ((y \ 1) * (x \ 1)) \ 1.
(x \ y) \ 1 = (y \ 1) / (x \ 1).
(x \ 1) / (y \ 1) = (y \ x) \ 1.
((x * y) \ 1) \ ((y \ 1) * ((x \ 1) * z)) != u | L(z,x \ 1,y \ 1) = u.
L(x,y \ 1,z \ 1) = ((((x \ 1) * y) * z) / (y * z)) \ 1.
((((x \ 1) * y) * z) / (y * z)) \ 1 = L(x,y \ 1,z \ 1).
R(x \ 1,y,z) \ 1 = L(x,y \ 1,z \ 1).
R(x,y,z) \ 1 = L(x \ 1,y \ 1,z \ 1).
L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1.
((x \ 1) \ 1) * (R(x,y,z) \ 1) = (x \ 1) \ L(x \ 1,y \ 1,z \ 1).
(x \ 1) \ L(x \ 1,y \ 1,z \ 1) = ((x \ 1) \ 1) * (R(x,y,z) \ 1).
(x \ 1) \ L(x \ 1,y \ 1,z \ 1) = (x \ R(x,y,z)) \ 1.
(x * y) \ z != (x * u) \ (x * y) | ((x * y) / u) * y = z.
((x * y) / (y * z)) * y = (x * y) / L(z,y,x).
(x * y) / L(z,y,x) = ((x * y) / (y * z)) * y.
x / L(x,y,z) != u | L(x,y,z) \ x = u.
L(x * y,y,x) \ (x * y) = ((x * y) / (y * (x * y))) * y.
x / L(y,z,x / z) = (((x / z) * z) / (z * y)) * z.
x / L(y,z,x / z) = (x / (z * y)) * z.
T(x,y) / T(x,z) = T(x,z) \ T(x,y).
(T(x,y) \ 1) * (x * T(x,y)) = L(x,T(x,y),T(x,y) \ 1).
x / (y * x) = (y \ x) / x.
(x \ y) / y = y / (x * y).
(x / (y * x)) * (y \ x) = (y \ x) * (x \ (y \ x)).
T(x / (y * x),y \ x) = x \ (y \ x).
(L(x,x \ 1,y \ 1) \ 1) \ y = ((x * y) \ 1) \ 1.
((x * y) \ 1) \ 1 != z | (L(x,x \ 1,y \ 1) \ 1) \ y = z.
(L(x,x \ 1,y \ 1) \ 1) \ y = x * y.
R(x \ 1,(x \ 1) \ 1,y) \ y = x * y.
R(x \ 1,x,y) \ y = x * y.
x * y != z | R(x \ 1,x,y) \ y = z.
R((L(x,y,z) \ 1) \ 1,L(x,y,z) \ 1,x) \ x = (x \ L(x,y,z)) \ 1.
(x * y) * T(T(R(x \ 1,x,y),y),z) = T(R(x \ 1,x,y),z) * (R(x \ 1,x,y) \ y).
T(R(x \ 1,x,y),z) * (R(x \ 1,x,y) \ y) = (x * y) * T(T(R(x \ 1,x,y),y),z).
R(L(x,y,z),L(x,y,z) \ 1,x) \ x = (x \ L(x,y,z)) \ 1.
L(R(x,L(x,y,z) \ 1,x),y,z) \ x = (x \ L(x,y,z)) \ 1.
((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y.
(x * L(y,z,u)) / y = (x / y) * L(y,z,u).
(x * (y * z)) / z = ((x * y) / z) * L(z,y,x).
((x * y) / z) * L(z,y,x) = (x * (y * z)) / z.
((x / y) * (y * z)) / z = (x / z) * L(z,y,x / y).
(x / y) * L(y,z,x / z) = ((x / z) * (z * y)) / y.
((x / y) * L(y,z,u)) \ y = y * ((x * L(y,z,u)) \ y).
((x * (y * z)) / z) \ (x * y) = (x * y) \ (((x * y) / L(z,y,x)) * z).
(x * y) \ (((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y).
(x * y) * (((x * (y * z)) / z) \ (x * y)) = ((x * y) / L(z,y,x)) * z.
((x / y) * y) * z != u | x * z = u.
x * L((x / y) \ ((x / y) / y),z,u) = (x / y) * (y * L(y \ 1,z,u)).
(x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)).
(a(x,y,z) * u) * z = a(x,y,z) * (u * z).
(x * (a(y,z,x) * u)) \ (a(y,z,x) * (u * x)) = K(a(y,z,x) * u,x).
(a(x,y,z) * u) * z != a(x,y,z) * w | u * z = w.
a(x,y,z) * u != (a(x,y,z) * w) * z | w * z = u.
R(x,y,y \ 1) = (x * y) * (y \ 1).
(x * y) * (y \ 1) = R(x,y,y \ 1).
x * (y \ 1) = R(x / y,y,y \ 1).
R(x / y,y,y \ 1) = x * (y \ 1).
x / (x / y) = (x * y) / x.
(x * y) / x = x / (x / y).
(x * T(x,y)) / T(x,y) = T(x,y) / (T(x,y) / x).
(x * y) / y != z | x = z.
x = T(x,y) / (T(x,y) / x).
T(x,y) / (T(x,y) / x) = x.
x * (T(x,y) / x) = T(x,y).
(x * y) \ ((x \ 1) \ y) = a(x,x \ 1,(x \ 1) \ y).
a(x,x \ 1,(x \ 1) \ y) = (x * y) \ ((x \ 1) \ y).
(L(x / y,z,y) * y) * z = y * (z * ((y * z) \ (x * z))).
(x * L(x \ y,z,x)) * z = x * (z * ((x * z) \ (y * z))).
R(x,y,z) * u != w | u * R(T(x,u),y,z) = w.
x * R(T(y,x),z,z \ x) = (y * z) * (z \ x).
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 \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y).
(x \ 1) * R(x,y,z) = R(x,y,z) * (x \ 1).
R(x,y,z) * (x \ 1) = (x \ 1) * R(x,y,z).
R((x * y) / x,z,u) * x = x * R(y,z,u).
R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w).
(x \ ((y \ 1) * z)) \ 1 = ((z \ 1) * y) / (x \ 1).
((x \ 1) * y) / (z \ 1) = (z \ ((y \ 1) * x)) \ 1.
((x \ 1) * y) / ((x * (y \ 1)) \ 1) = K(y \ 1,x) \ 1.
((x \ 1) * y) / (1 \ (y * (x \ 1))) = K(y \ 1,x) \ 1.
((x \ 1) * y) / (y * (x \ 1)) = K(y \ 1,x) \ 1.
((x \ 1) \ 1) * (R(x,y,z) \ 1) != u | (x \ 1) \ L(x \ 1,y \ 1,z \ 1) = u.
(x \ 1) \ L(x \ 1,y \ 1,z \ 1) = x * (R(x,y,z) \ 1).
(x \ 1) \ L(x \ 1,y \ 1,z \ 1) != u | (x \ R(x,y,z)) \ 1 = u.
(x \ R(x,y,z)) \ 1 = x * (R(x,y,z) \ 1).
L(x,y,1) != z | x = z.
L(x,y,K(z,z \ 1)) = x.
(K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z).
((x \ 1) \ 1) * (R(x,y,z) \ 1) = ((x \ 1) * R(x,y,z)) \ 1.
((x \ 1) \ 1) * y != z | x * y = z.
x * (R(x,y,z) \ 1) = ((x \ 1) * R(x,y,z)) \ 1.
((x \ 1) * R(x,y,z)) \ 1 = x * (R(x,y,z) \ 1).
((x \ 1) * y) \ 1 != z | (y \ 1) * x = z.
(R(x,y,z) \ 1) * x = x * (R(x,y,z) \ 1).
x \ 1 != y * (R(y,z,u) \ 1) | y \ R(y,z,u) = x.
x \ R(x,y,z) = (x \ 1) * R(x,y,z).
(x \ 1) * R(x,y,z) = x \ R(x,y,z).
(x \ 1) * R(x,y,z) != u | R(x,y,z) * (x \ 1) = u.
R(x,y,z) * (x \ 1) = x \ R(x,y,z).
(x \ 1) * y != z | ((y \ 1) * x) \ 1 = z.
((R(x,y,z) \ 1) * x) \ 1 = x \ R(x,y,z).
x * R(x \ 1,y,z) = (x \ 1) \ R(x \ 1,y,z).
(x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z).
(x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)).
x \ T((x * (x \ 1)) \ (x * y),z) = (x \ 1) * T((x \ 1) \ y,z).
(x * y) * T((y * T(x,y)) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)).
(x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)).
(x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)).
(x * y) * T(x \ (x / y),z) = x * (y * T(y \ 1,z)).
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ ((x \ 1) \ 1),z,u)).
(x \ 1) * (y * L(y \ ((x \ 1) \ 1),z,u)) = ((x \ 1) * y) * L((y \ 1) * x,z,u).
(x * y) * L(y \ (x \ y),z,u) = x * (y * L(y \ (x \ y),z,u)).
(x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)).
x * T(((x / y) * y) \ (y * z),u) = y * (T(x / y,y) * T(T(x / y,y) \ z,u)).
x * (T(y / x,x) * T(T(y / x,x) \ z,u)) = y * T(((y / x) * x) \ (x * z),u).
(x * y) * T((x * y) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)).
x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z).
x * (T(y / x,x) * T(T(y / x,x) \ z,u)) = y * T(y \ (x * z),u).
x * ((x \ y) * T(T(y / x,x) \ z,u)) = y * T(y \ (x * z),u).
x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u).
x * ((x \ y) * T((x \ y) \ y,z)) = y * T(T(x,y),z).
x * ((x \ y) * T(T(x,y),z)) = y * T(T(x,y),z).
x * (T(x,y) * (x \ z)) = z * T(T(x,z),y).
x * T(T(y,x),z) = y * (T(y,z) * (y \ x)).
x * T(T(y,x),z) != u | T(y,z) * x = u.
T(x,y) * z = x * (T(x,y) * (x \ z)).
x * (T(x,y) * (x \ z)) = T(x,y) * z.
x \ (T(x,y) * z) = T(x,y) * (x \ z).
x * (T(x,y) * z) = T(x,y) * (x * z).
T(x,y) * (x * z) = x * (T(x,y) * z).
x * y != z * (u * (u \ w)) | x \ (z * w) = y.
T(x,y) \ (x * z) = x * (T(x,y) \ z).
(x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z).
(x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z).
T(x,y) \ (x * y) != z | T(y,T(x,y)) = z.
T(x,T(y,x)) = y * (T(y,x) \ x).
x * (T(x,y) \ y) = T(y,T(x,y)).
T(x,y) \ x = x * (T(x,y) \ 1).
x * (T(x,y) \ 1) = T(x,y) \ x.
T(x,y) \ z = x * (T(x,y) \ (x \ z)).
x * (T(x,y) \ (x \ z)) = T(x,y) \ z.
x * T(x \ y,y) = T(y,T(x,y)).
x \ T(y,T(x,y)) = T(x \ y,y).
T(x \ y,y) != z | x \ T(y,T(x,y)) = z.
x \ T(y,T(x,y)) = T(x \ y,x).
(x \ y) * x = T(y,T(x,y)).
T(x,T(y,x)) = (y \ x) * y.
T((x \ y) * x,z) = T(T(y,z),T(x,y)).
T(T(x,y),T(z,x)) = T((z \ x) * z,y).
T(T(x * y,z),T(x,x * y)) = T(y * x,z).
T(T(x * y,z),T(x,y)) = T(y * x,z).
T(x * y,T(x,y)) = y * x.
T(x,y) * (y * x) = (x * y) * T(x,y).
(x * y) * T(x,y) = T(x,y) * (y * x).
T(x * y,y * x) = x * y.
(x * y) * T(x,y) != z | x * (x * y) = z.
x * (x * y) = T(x,y) * (y * x).
T(x,y) * (y * x) = x * (x * y).
x * y != T(x,z) * u | T(x,z) * (x \ u) = y.
T(x,y) * (x \ (y * x)) = x * y.
T(x,y) * T(y,x) = x * y.
T(x,y) \ (x * y) = T(y,x).
T(x,y) * (x \ T(y,x)) = y.
T(x,T(y,x)) = T(x,y).
T(x,T(y,x)) != z | T(x,y * x) = z.
T(x,y * x) = T(x,y).
T(x,T(y,x)) != z | (y \ x) * y = z.
(x \ y) * x = T(y,x).
T(T(x,y),z) = T(T(x,z),T(y,x)).
T(T(x,y),T(z,x)) = T(T(x,z),y).
T(x,T(y,y * x)) = T(x,y).
x \ T(y,x) = T(x \ y,x).
T(x,y) != z | (y \ x) * y = z.
(x \ (x / y)) * x = y \ x.
T(x,y) / y = y \ x.
(x \ y) \ T(y,x) = x.
x * y = T(y * x,y).
T(x * y,x) = y * x.
K(x,y) * (y * x) = T(x * y,y * x).
x \ T(x,y) = K(y \ x,y).
K(x \ y,x) = y \ T(y,x).
T(x,y) \ x = K(y,y \ x).
K(x,x \ y) = T(y,x) \ y.
(x \ (x / y)) * (x * y) = T(x,x * y).
T((x \ 1) * y,z) != u | L(T(x \ y,z),x,x \ 1) = u.
L(T(x \ y,x \ 1),x,x \ 1) = y * (x \ 1).
T(x * y,x) != z | L(y \ 1,y,x) \ x = z.
L(x \ 1,x,y) \ y = x * y.
T(x * (y \ x),x) != z | (x \ y) \ x = z.
(x \ y) \ x = (y \ x) * x.
x * y != z | T(y * x,y) = z.
T(x * (y / x),x) = y.
T(x,y) != (T(z,y) / u) * u | z = x.
x = y * (T(x,y) / y).
x * (T(y,x) / x) = y.
x * (y * x) = (x * y) * x.
(x * y) * x = x * (y * x).
x / (y * x) = (x * y) \ x.
T(x,y * x) = T(x,x * y).
L(x,y,x) = x.
x * (y * z) != (u * y) * z | R(u,y,z) = x.
R(x,y,x) = x.
x != y | L(x,z,x) = y.
L(x,y,x) = z \ (z * x).
a(x,y,x) = 1.
R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x.
L(x,y,R(x,z,u)) = x.
L(x,y,z) != L(L(u,y,z),w,v5) | L(u,w,v5) = x.
L(x,y,L(x,z,u)) = x.
T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x.
L(x,y,T(x,z)) = x.
T(x,y) = L(T(x,y),z,x).
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).
(x * y) * L(x,z,u) = x * (y * L(x,z,u)).
(x * y) / x = x * (y / x).
x \ y = ((y * x) \ y) * y.
((x * y) \ x) * x = y \ x.
x \ y != z | T(y,x) / x = z.
T(x,y) / y = x / T(y,x).
T(T(x,y),z) / y = y \ T(x,z).
L(T(x,y),z,u) / y = y \ L(x,z,u).
(x \ y) / y = y \ (y / x).
T(x * (y * z),a(x,y,z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)).
L(x \ 1,x,T(y,x)) = T(y,x) \ (x \ y).
x != y | R(x,z,x) = y.
R(x,y,x) = R(x,z,x).
R(x,y,x) = (x \ 1) \ 1.
R(x,y,z) != R(R(u,y,z),w,v5) | R(u,w,v5) = x.
R(x,y,R(x,z,u)) = x.
T(x,y) = R(T(x,y),z,x).
R(T(x,y),z,x) = T(x,y).
L(x,y,z) \ x = (x \ L(x,y,z)) \ 1.
(x \ L(x,y,z)) \ 1 = L(x,y,z) \ x.
(L(x,y,z) \ x) \ 1 = x \ L(x,y,z).
L(T(x,y \ 1),y,y \ 1) = (y * x) * (y \ 1).
T(x,y) != z | L(T(x,y),u,x) = z.
L(T(x,y),z,x) = T(x,x * y).
(x * y) * L(T(x,z),u,w) = x * (y * L(T(x,z),u,w)).
(x * y) * L(T(x,y),z,u) != w | L(x,z,u) * (x * y) = w.
L(x,y,z) * (x * u) = x * (u * L(T(x,u),y,z)).
x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y).
x * (L(x,y,z) * u) = L(x,y,z) * (x * u).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
L(x,y,z) * u = x * (L(x,y,z) * (x \ u)).
x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u.
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u).
(L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)).
x * y != z | T(z,x) / x = y.
T(L(x,y,z) * u,x) / x = L(x,y,z) * (x \ u).
T(x,y) = T(x,y / x).
T(x,y / x) = T(x,y).
T(x,y) != z | T(x,y / x) = z.
T(x,y / x) = (x \ y) \ y.
x \ y != z * y | R(z \ 1,z,y) = x.
R(x \ 1,x,y) = L(x \ 1,x,y).
L(x,x \ 1,y) \ y = (x \ 1) * y.
R(x \ 1,y,z \ 1) != u | L(x,y \ 1,z) \ 1 = u.
L(x,x \ 1,y) \ 1 = L(x \ 1,x,y \ 1).
L(x \ 1,x,y) \ 1 = L(x,x \ 1,y \ 1).
x \ 1 != L(y \ 1,z \ 1,u \ 1) | R(y,z,u) = x.
R(x \ 1,x,y) = L(x \ 1,(x \ 1) \ 1,y).
L(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y).
L(x \ 1,y \ 1,z \ 1) != u | R(x,y,z) \ 1 = u.
R(x,x \ 1,y) \ 1 = R(x \ 1,x,y \ 1).
x \ 1 != R(y \ 1,z,u \ 1) | L(y,z \ 1,u) = x.
L(x,x \ 1,y) = R(x,x \ 1,y).
R(x,x \ 1,y) = L(x,x \ 1,y).
R(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1) != u | (((x * y) * z) \ (x * (y * z))) \ 1 = u.
(((x * y) * z) \ (x * (y * z))) \ 1 = L(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1).
L(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1) = (((x * y) * z) \ (x * (y * z))) \ 1.
T(x,y) = L(T(x,y),z,L(x,u,w)).
L(T(x,y),z,L(x,u,w)) = T(x,y).
L(x,y,z) \ L(x,u,w) = (L(x,y,z) \ 1) * L(x,u,w).
(L(x,y,z) \ 1) * L(x,u,w) = L(x,y,z) \ L(x,u,w).
x \ (L(x,y,z) * (u * x)) = T(L(x,y,z) * u,L(x,u,L(x,y,z))).
T(L(x,y,z) * u,L(x,u,L(x,y,z))) = x \ (L(x,y,z) * (u * x)).
T(x * y,z) / y = y \ T(y * x,z).
(x \ y) / y != z | y / (x * y) = z.
x / (y * x) = x \ (x / y).
x \ (x / y) != z | (y \ x) / x = z.
(x \ y) / y = (y * x) \ y.
x / y = y \ (y / (y / x)).
x \ (x / (x / y)) = y / x.
T(x,y) / (x * y) = T(x,y) \ (T(x,y) / y).
T(x,y) \ (T(x,y) / y) = T(x,y) / (x * y).
L(x * y,y,x) \ (x * y) = ((x * y) \ ((x * y) / y)) * y.
L(x * y,y,x) \ (x * y) = ((x * y) \ x) * y.
L(x * y,y,x) \ (x * y) = (x \ (x / y)) * y.
T(x * y,y * x) != z | K(x,y) * (y * x) = z.
K(x,y) * (y * x) = x * y.
(x * y) / (y * x) = K(x,y).
((x \ 1) * y) / (y * (x \ 1)) != z | K(y \ 1,x) \ 1 = z.
K(x \ 1,y) \ 1 = K(y \ 1,x).
K(x,y) \ 1 = K(y \ 1,x \ 1).
K(x \ 1,y \ 1) = K(y,x) \ 1.
x \ 1 != K(y \ 1,z \ 1) | K(z,y) = x.
K(x,y) = K((x \ 1) \ 1,y).
K((x \ 1) \ 1,y) = K(x,y).
L(x \ 1,x,y) * y = x \ y.
x * y != a(z,z,u) \ y | a(z,z,u) \ 1 = x.
a(x,x,y) \ 1 = L(a(x,x,y) \ 1,a(x,x,y),z).
L(a(x,x,y) \ 1,a(x,x,y),z) = a(x,x,y) \ 1.
L(x,x \ 1,y) * y = (x \ 1) \ y.
R(x \ 1,x,y) * y = x \ y.
L(a(x,y,z) \ 1,a(x,y,z),(x * y) * z) != u | ((x * y) * z) \ (x * (y * z)) = u.
((x * x) * y) \ (x * (x * y)) = a(x,x,y) \ 1.
x * (a(y,y,z) \ 1) = x / a(y,y,z).
a(x,x,y) \ 1 != z | ((x * x) * y) \ (x * (x * y)) = z.
((x * x) * y) \ (x * (x * y)) = L(a(x,x,y) \ 1,a(x,x,y),z).
L(a(x,x,y) \ 1,a(x,x,y),z) = ((x * x) * y) \ (x * (x * y)).
R(x,y,z) \ x = (R(x,y,z) \ 1) * x.
(R(x,y,z) \ 1) * x = R(x,y,z) \ x.
(R(x,y,z) \ 1) * x != u | x * (R(x,y,z) \ 1) = u.
x * (R(x,y,z) \ 1) = R(x,y,z) \ x.
(R(x,y,z) \ x) \ 1 = x \ R(x,y,z).
(x \ R(x,y,z)) \ 1 = R(x,y,z) \ x.
x \ (y \ x) = T(R(y \ 1,y,x),x).
T(R(x \ 1,x,y),y) = y \ (x \ y).
x \ (T(x,y) \ x) = T(x,y) \ 1.
((T(x,y) \ 1) \ 1) * (x \ 1) = (T(x,y) \ x) \ 1.
(x * (y \ x)) * (((x \ y) \ x) \ 1) = T(x * (y \ x),x) \ (x * (y \ x)).
T(x * (y \ x),x) \ (x * (y \ x)) = (x * (y \ x)) * (((x \ y) \ x) \ 1).
x \ (L(x,y,z) * (u * x)) != w | T(L(x,y,z) * u,L(x,u,L(x,y,z))) = w.
T(L(x,y,z) * u,L(x,u,L(x,y,z))) = L(x,y,z) * (x \ (u * x)).
x \ L(x,y,z) = L(x,y,z) * (x \ 1).
L(x,y,z) * (x \ 1) = x \ L(x,y,z).
x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)).
L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u.
(x \ 1) \ (x \ y) = L(x \ 1,x,y) * ((x \ 1) \ y).
L(x \ 1,x,y) * ((x \ 1) \ y) = (x \ 1) \ (x \ y).
T(L(x,y,z) * u,L(x,u,L(x,y,z))) = L(x,y,z) * T(u,x).
T(L(x,y,z) * u,x) = L(x,y,z) * (x \ (u * x)).
L(x,y,z) * (x \ (u * x)) = T(L(x,y,z) * u,x).
T(L(x,y,z) * u,x) = L(x,y,z) * T(u,x).
L(x,y,z) * T(u,x) = T(L(x,y,z) * u,x).
T(L(x,y,z) * u,x) != w | L(x,y,z) * T(u,x) = w.
L(x,y,z) * T(u,x) = (x \ (L(x,y,z) * u)) * x.
(x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x).
T(x,y) \ (y \ x) = T(x,y) / (x * y).
T(x,y) / (x * y) = T(x,y) \ (y \ x).
L(x,y,z) * (L(R(x,u,w),y,z) \ 1) = R(L(x,y,z),u,w) \ L(x,y,z).
T(x,y) * (x \ 1) = (T(x,y) \ x) \ 1.
(T(x,y) \ x) \ 1 = T(x,y) * (x \ 1).
T(x,x * y) != z | (x \ (x / y)) * (x * y) = z.
(x \ (x / y)) * (x * y) = T(x,y).
T(x,y) / (x * y) = x \ (x / y).
T(x,y) / (x * y) != z | T(x,y) \ (y \ x) = z.
T(x,y) \ (y \ x) = x \ (x / y).
T(x,y) \ (y \ x) != z | L(y \ 1,y,T(x,y)) = z.
L(x \ 1,x,T(y,x)) = y \ (y / x).
x \ (x / y) != z | T(x,y) \ (y \ x) = z.
T(x,y) \ (y \ x) = x / (y * x).
x \ (x / y) != z | L(y \ 1,y,T(x,y)) = z.
L(x \ 1,x,T(y,x)) = L(x \ 1,x,y).
T(x,y * x) \ (y \ x) = x / (y * x).
T(x,T(y * x,x)) \ (y \ x) = x / (y * x).
x / (y * x) != z | T(x,T(y * x,x)) \ (y \ x) = z.
T(x,T(y * x,x)) \ (y \ x) = (y \ x) / x.
x / y != T(z,u) \ x | T(T(z,x),u) = y.
T(T(x,y \ x),T(y * x,x)) = x.
T(T(x,y),T(z,x)) != u | T(T(x,z),y) = u.
T(T(x,y * x),y \ x) = x.
T(T(x,y),y \ x) = x.
T(T(x,y),z) != u | T(T(x,z),y) = u.
T(T(x,y \ x),y) = x.
T(x,y) = T(T(T(x,z),y),z \ x).
T(T(T(x,y),z),y \ x) = T(x,z).
x * y = T(y,x \ y) * x.
T(x,y \ x) * y = y * x.
T(x,T(x,y) \ x) = x.
x / y = y \ T(x,y \ x).
x \ T(y,x \ y) = y / x.
x * (y / x) = T(y,x \ y).
T(x,y \ x) = y * (x / y).
L(x / y,y,y \ 1) = (y \ 1) * T(x,y \ x).
((x \ 1) * T(y,x \ y)) * x = x * L(x \ y,x,x \ 1).
((x / y) * y) \ T(x,y \ x) = K(y,x / y).
K(x / y,y) * T(x,y \ x) = (x / y) * y.
((x \ 1) * T(y,x \ y)) * x = x * ((x \ 1) * y).
x * ((x \ 1) * y) != z | ((x \ 1) * T(y,x \ y)) * x = z.
((x \ 1) * T(y,x \ y)) * x = L(y,x \ 1,x).
((x \ y) \ x) \ (x * (y \ x)) = (x * (y \ x)) * (((x \ y) \ x) \ 1).
(x * (y \ x)) * (((x \ y) \ x) \ 1) = ((x \ y) \ x) \ (x * (y \ x)).
(x * y) / x = T(y,x \ y).
T(x,y \ x) = (y * x) / y.
x \ T(x,y) = T(x,y) * (x \ 1).
T(x,y) * (x \ 1) = x \ T(x,y).
T(x,y) * (x \ 1) != z | (T(x,y) \ x) \ 1 = z.
(T(x,y) \ x) \ 1 = x \ T(x,y).
(x / y) * y != z | K(x / y,y) * T(x,y \ x) = z.
K(x / y,y) * T(x,y \ x) = x.
(x * y) \ ((y * x) \ (x * y)) = T(x * y,T(x,y)) \ 1.
(x * y) \ K(x,y) = T(x * y,T(x,y)) \ 1.
T(x * y,T(x,y)) \ 1 = (x * y) \ K(x,y).
(x * y) \ 1 = (y * x) \ K(y,x).
(x * y) \ K(x,y) = (y * x) \ 1.
(x * y) * ((y * x) \ 1) = K(x,y).
(x * (y * z)) * T((x * y) \ ((x * y) / L(z,y,x)),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)).
(x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)).
(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) * (L(z,y,x) * T(L(z,y,x) \ 1,u)).
(x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * ((y * z) * T((y * z) \ y,u)).
(x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))).
L(x * T(x \ 1,y),z,u) = L(x,z,u) * T(L(x,z,u) \ 1,y).
L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z).
(x \ 1) \ y != z | ((y \ 1) / x) \ 1 = z.
((R(x \ 1,y,z) \ 1) / x) \ 1 = x * R(x \ 1,y,z).
(L(x,y \ 1,z \ 1) / x) \ 1 = x * R(x \ 1,y,z).
(x \ L(x,y \ 1,z \ 1)) \ 1 = x * R(x \ 1,y,z).
(x \ L(x,y,z)) \ 1 != u | L(x,y,z) \ x = u.
L(x,y \ 1,z \ 1) \ x = x * R(x \ 1,y,z).
1 != x | K(y \ 1,y) = x.
K(x \ 1,x) = a(y,z,y).
K(x \ 1,x) = K(y \ 1,y).
K(x \ 1,x) = (y \ 1) * y.
(x * K(y \ 1,y)) \ ((x * (z \ 1)) * z) = a(x,z \ 1,z).
K(x \ 1,x) != y * z | z \ 1 = y.
L(x,y,z) * (L(R(x,u,w),y,z) \ 1) = L(R(x,u,w),y,z) \ L(x,y,z).
K(x,1) = 1.
T(x,1) != y | x = y.
T(x,y \ y) = x.
x * T(x,y) = x / (T(x,y) \ 1).
x / (T(x,y) \ 1) = x * T(x,y).
T(x,y) != T(z,u \ x) | T(T(x,u),y) = z.
T(x,y \ z) != T(z,u) | T(T(z,y),u) = x.
((x \ y) \ x) \ (x * (y \ x)) = (x * (y \ x)) / ((x \ y) \ x).
(x * (y \ x)) / ((x \ y) \ x) = ((x \ y) \ x) \ (x * (y \ x)).
(x * (y \ x)) / (z \ x) != u | x / (z \ y) = u.
x / ((x \ y) \ y) = ((x \ y) \ x) \ (x * (y \ x)).
((x \ y) \ x) \ (x * (y \ x)) = x / ((x \ y) \ y).
((x \ y) \ x) \ (x * (y \ x)) = x / T(x,y).
x / T(x,y) != z | ((x \ y) \ x) \ (x * (y \ x)) = z.
((x \ y) \ x) \ (x * (y \ x)) = T(x,y) \ x.
((x \ y) \ x) \ (x * (y \ x)) != z | (x * (y \ x)) * (((x \ y) \ x) \ 1) = z.
(x * (y \ x)) * (((x \ y) \ x) \ 1) = T(x,y) \ x.
(x * (y \ x)) * (((y \ x) * x) \ 1) = T(x,y) \ x.
(x * y) * ((y * x) \ 1) != z | K(x,y) = z.
K(x,y \ x) = T(x,y) \ x.
T(x,y) \ x = K(x,y \ x).
T(x,y) \ x != z | K(y,y \ x) = z.
K(x,x \ y) = K(y,x \ y).
K(x,y \ x) = K(y,y \ x).
T(x,y) \ x != z | x * (T(x,y) \ 1) = z.
x * (T(x,y) \ 1) = K(x,y \ x).
K(x,y \ x) \ 1 = x \ T(x,y).
K(x,y) = K(x / y,(x / y) \ x).
K(x / y,(x / y) \ x) = K(x,y).
K(x \ 1,(x / y) \ 1) = K(y \ 1,(y \ 1) \ (x \ 1)).
K(x \ 1,(x \ 1) \ (y \ 1)) = K(y \ 1,(y / x) \ 1).
K(x / y,y) = K(x,y).
K(x,y) = K(x * y,y).
K(x * y,y) = K(x,y).
K(x / (x / y),x) = K(x * y,x).
K(x,y) * T(x,y \ x) = x.
K(x \ 1,(x / y) \ 1) != z | K(y \ 1,(y \ 1) \ (x \ 1)) = z.
K(x \ 1,(x \ 1) \ (y \ 1)) = K(y / x,y) \ 1.
K(x \ 1,(y / x) \ 1) = K(y / x,y) \ 1.
K(x \ 1,y \ 1) != z | K(y,x) \ 1 = z.
K(x / y,y) \ 1 = K(x / y,x) \ 1.
K(x,y) \ 1 = K(x / y,x) \ 1.
K(x / y,x) \ 1 = K(x,y) \ 1.
K(x / y,x) = K(x,y).
K(x,y) = K(y,x \ y).
K(x,y \ x) = K(y,x).
K(x,y \ x) != z | T(x,y) \ x = z.
T(x,y) \ x = K(y,x).
K(x,y \ x) != z | K(y,y \ x) = z.
K(x,x \ y) = K(x,y).
x * (T(x,y) \ 1) = K(y,x).
T(x,y) \ x != z | x / T(x,y) = z.
x / T(x,y) = K(y,x).
x / K(y,x) = T(x,y).
T(x,y) * K(y,x) = x.
(x / y) * K(z,x) = x * ((T(x,z) * y) \ x).
x * ((T(x,y) * z) \ x) = (x / z) * K(y,x).
x \ K(y,x) = T(x,y) \ 1.
T(x,y) \ 1 = x \ K(y,x).
K(x,y) * T(y,x) = y.
K(x / y,x) != z | K(x,y) = z.
K(x,x / y) = K(x * y,x).
K(x * y,x) = K(x,x / y).
x * T(y,z) != y | K(z,y) = x.
K(x \ y,y) = K(y,x).
K(x,y) != z | K(y \ x,x) = z.
K(x \ y,y) = K(y / x,y).
K(x / y,x) = K(y \ x,x).
K(x,y) = K(y,y / x).
K(x,x / y) = K(y,x).
x / K(x,y) = T(x,y \ x).
K(x,x / y) != z | K(x * y,x) = z.
K(x * y,x) = K(y,x).
K(x,y) = K(y \ x,y).
K(x \ y,x) = K(y,x).
K(x \ y,x) != z | y \ T(y,x) = z.
x \ T(x,y) = K(x,y).
K(x,y) != z | K(y \ x,y) = z.
K(x \ y,x) = K(y / x,x).
K(x / y,y) = K(y \ x,y).
x \ T(x,y) != z | K(x,y \ x) \ 1 = z.
K(x,y \ x) \ 1 = K(x,y).
x \ T(x,y) != z | T(x,y) * (x \ 1) = z.
T(x,y) * (x \ 1) = K(x,y).
x * K(x,y) = T(x,y).
R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u).
(x / y) \ (y \ x) = K(x / y,x).
K(x,y) \ 1 = K(y,x).
x \ 1 != y | 1 / x = y.
1 / K(x,y) = K(y,x).
K(x \ 1,y) \ 1 != z | K(y \ 1,x) = z.
K(x \ 1,y) = K(x,y \ 1).
K(x,y) * K(y,x) = 1.
K(x,y) * (z \ 1) = (z * K(y,x)) \ 1.
(x * K(y,z)) \ 1 = K(z,y) * (x \ 1).
(x \ 1) * K(y,z) = (K(z,y) * x) \ 1.
(K(x,y) * z) \ 1 = (z \ 1) * K(y,x).
x / L(K(y,z),K(z,y),x) = x * K(z,y).
K(x,y) \ L(z,K(y,x),K(y,x) \ 1) = K(y,x) * z.
x * (K(y,z) * K(z,y)) = x.
(x \ K(y,z)) \ 1 = K(z,y) / (x \ 1).
K(x,y) / (z \ 1) = (z \ K(y,x)) \ 1.
(x \ 1) * K(y,z) != u \ 1 | K(z,y) * x = u.
x \ 1 != (y \ 1) * K(z,u) | K(u,z) * y = x.
x \ 1 = (T(x,y) \ 1) * K(x,y).
(T(x,y) \ 1) * K(x,y) = x \ 1.
(T(x,y) \ 1) \ (x \ 1) = K(x,y).
x \ 1 != y * K(x,z) | T(x,z) \ 1 = y.
x * K(y,z) != y \ 1 | T(y,z) \ 1 = x.
T(x,y) != z | x * K(x,y) = z.
x * K(x,x * y) = T(x,y).
x * y != T(x,z) | T(x,z) / x = y.
T(x,y) / x = K(x,y).
x * K(x / y,y) = T(x,y).
x * K(y,x) = T(x,y \ x).
T(x,y) / x = K(x / y,y).
K(x / y,y) = T(x,y) / x.
K(x / y,y) * x = T(x,y).
K(x,y) * x = T(x,y).
T(x,y) != z | K(x,y) * x = z.
K(x / y,y) * (x / y) = y \ x.
K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z).
K(x,y) \ T(x,y) = x.
(x * T(y,z)) / L(y,K(y,z),x) = x * K(y,z).
K(x,y) * y = T(y,x \ y).
(x \ T(x,y)) * x = T(x,y).
T(x,y) \ 1 = (x \ 1) * K(y,x).
(x \ 1) * K(y,x) = T(x,y) \ 1.
T(x,y \ x) != z | x * K(y,x) = z.
x * K(y,x) = (y * x) / y.
(x * y) / x = y * K(x,y).
T(x,y \ x) != x * z | K(y,x) = z.
T(x * K(y,x),y) = x.
(x * K(y,x)) * y = y * x.
(x \ y) * K(x,y) = T(x \ y,y \ (x \ y)).
T(x \ y,y \ (x \ y)) = (x \ y) * K(x,y).
T(x,y \ x) != z | K(y,x) * x = z.
K(x,y) * y = (x * y) / x.
(x * y) / x = K(x,y) * y.
K(x,y) * y = y * K(x,y).
K(x \ 1,y) * y = T(y,((y \ 1) / x) \ 1).
T(x,((x \ 1) / y) \ 1) = K(y \ 1,x) * x.
T(K(x,y) * y,x) = y.
K(x,y) * (x \ y) = T(x \ y,y \ (x \ y)).
T(x \ y,y \ (x \ y)) = K(x,y) * (x \ y).
T(x,((x \ 1) / y) \ 1) != z * x | K(y \ 1,x) = z.
K(x / y,x) != z | (x / y) \ (y \ x) = z.
(x / y) \ (y \ x) = K(x,y).
(x \ K(y,z)) \ 1 != u | K(z,y) / (x \ 1) = u.
K(x,y) / (z \ 1) = 1 / (z \ K(y,x)).
K(x \ (y * x),x) = K(y,x).
K(x,y) != z | K(x * y,y) = z.
K(x * y,y) = K(y * x,y).
K(x,y) \ L(z,K(y,x),K(x,y)) = K(y,x) * z.
T(x,y) * K(y,T(x,y)) = x.
T(x,y) != y \ z | z / y = x.
x / y = (y \ x) * K(y,y \ x).
(x \ y) * K(x,x \ y) = y / x.
T(x,y) = T(T(x * K(z,x),y),z).
T(T(x * K(y,x),z),y) = T(x,z).
x != T(y,z) | x * K(z,x) = y.
T(x,y) != z | z * K(y,z) = x.
x * T(y,z) = T(y * K(x,y),z) * x.
T(x * K(y,x),z) * y = y * T(x,z).
x * K(y,x) = y / (y / x).
x / (x / y) = y * K(x,y).
x / (x / y) = y * K(y \ x,y).
T(x \ 1,y) * x = x * T(x \ 1,y).
T(R(x / y,y,z),u) * (y * z) = (y * z) * T((y * z) \ (x * z),u).
(x * y) * (K(z,u) * K(u,z)) != x * w | y = w.
x / y = (x * (y / x)) \ x.
(x * (y / x)) \ x = x / y.
T(x,y) / z = z \ T(z * (x / z),y).
x \ T(x * (y / x),z) = T(y,z) / x.
x * (T(y,z) / x) = T(x * (y / x),z).
x \ T(x * (y / x),z) != u / x | T(y,z) = u.
T(x,y \ x) != z | y * (x / y) = z.
x * ((y \ x) / x) = K(y,x) * (y \ x).
K(x,y) * (x \ y) = y * ((x \ y) / y).
K(x,y) * (x \ y) = y * (y \ (y / x)).
x * (x \ (x / y)) != z | K(y,x) * (y \ x) = z.
K(x,y) * (x \ y) = y / x.
x \ (T(x,y) \ z) = T(x,y) \ (x \ z).
T(x,y) \ (x \ z) = x \ (T(x,y) \ z).
R(x,y,z) \ u != w | u / R(T(x,u),y,z) = w.
x / R(T(y,x),z,(y * z) \ x) = z * ((y * z) \ x).
K(x,y) = K(x,x * y).
K(x,x * y) = K(x,y).
K(x,T(y,x)) = K(x,y * x).
K(x,y * x) = K(x,T(y,x)).
T(x,K(y,x)) = x.
T(K(x,y),y) = K(x,y).
K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y).
L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z).
K(x,y) * T(y,z) = T(y,z) * K(x,y).
T(x,y) * K(z,x) = K(z,x) * T(x,y).
T(x,K(x,y)) = x.
x * L(K(y,x),z,u) = L(K(y,x),z,u) * x.
L(K(x,y),z,u) * y = y * L(K(x,y),z,u).
T(x,y) = T(T(x,y),K(x,z)).
T(T(x,y),K(x,z)) = T(x,y).
K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y).
L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z).
K(x,y) * T(x,z) = T(x,z) * K(x,y).
T(x,y) * K(x,z) = K(x,z) * T(x,y).
T(K(x,y),T(x,z)) = K(x,y).
x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T(x \ (y \ x),z).
(x * ((y * x) \ z)) \ z = R(T(y,z),x,(y * x) \ z).
R(T(x,y),z,(x * z) \ y) = (z * ((x * z) \ y)) \ y.
x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
(x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z).
(x \ T(x * y,z)) \ 1 = (T((x \ 1) \ y,z) \ 1) * x.
(T((x \ 1) \ y,z) \ 1) * x = (x \ T(x * y,z)) \ 1.
(T(x,y) \ 1) * T((T(x,y) \ 1) \ K(y,x),z) = T(x,y) \ T(x,z).
K(x,y) * T((K(y,x) \ 1) \ z,u) = K(y,x) \ T(K(y,x) * z,u).
K(x,y) * T(K(x,y) \ z,u) = K(y,x) \ T(K(y,x) * z,u).
K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u).
x \ (x / y) != z | L(y \ 1,y,x) = z.
L(x \ 1,x,y / x) = y \ (y / x).
x * L(x \ (x / y),z,u) = (x / y) * (y * L(y \ 1,z,u)).
(x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u).
(x / y) \ (x * L(x \ (x / y),z,u)) = y * L(y \ 1,z,u).
x \ (y * L(y \ (y / (x \ y)),z,u)) = (x \ y) * L((x \ y) \ 1,z,u).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ ((x * (y * z)) / L(z,y,x)),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L(y \ (y / z),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(1 / x,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z).
L(x,y,z) * (R(L(x,y,z),u,w) \ 1) = L(x * L(x \ 1,u \ 1,w \ 1),y,z).
L(x * L(x \ 1,y \ 1,z \ 1),u,w) = L(x,u,w) * (R(L(x,u,w),y,z) \ 1).
x * L(L(x,y,L(x,z,u)) \ 1,w,v5) = L(x * L(x \ 1,w,v5),y,L(x,z,u)).
L(x \ 1,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z).
L(x \ 1,y,z) * L(L(x \ 1,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z).
L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L((1 / x) * L(x,u,w),y,z).
L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L((x \ 1) * L(x,u,w),y,z).
L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L(x \ L(x,u,w),y,z).
L(x * L(x \ 1,y \ 1,z \ 1),u,w) = L(x,u,w) * (L(R(x,y,z),u,w) \ 1).
L(x,y,z) * (L(R(x,u,w),y,z) \ 1) != v5 | L(x * L(x \ 1,u \ 1,w \ 1),y,z) = v5.
L(x * L(x \ 1,y \ 1,z \ 1),u,w) = L(R(x,y,z),u,w) \ L(x,u,w).
L(x * (R(x,y,z) \ 1),u,w) = L(R(x,y,z),u,w) \ L(x,u,w).
L(R(x,y,z),u,w) \ L(x,u,w) = L(x * (R(x,y,z) \ 1),u,w).
L(R(x,y,z),u,w) \ L(x,u,w) = L(R(x,y,z) \ x,u,w).
x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u).
(x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)).
((x * y) \ x) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)).
((x * y) \ y) * L(((x * y) \ y) \ 1,z,u) = (x * y) \ (y * L(T(x,y),z,u)).
x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z.
K(x,1) * y != z | y = z.
x * a(a(y,z,u),w,w) != v5 | v5 = x.
x * (y \ y) != z | x = z.
(x / y) * y != z | z = x.
(x / y) * y != z | x = z.
x * (x \ y) != z | z = y.
x * (x \ y) != z | y = z.
x \ ((y * x) * L((y * x) \ ((y * x) / T(y,x)),z,u)) = T(y,x) * L(T(y,x) \ 1,z,u).
x != T(y,z) | (z * x) / z = y.
T(x,y) != z | (y * z) / y = x.
(x * y) / z != x * u | L(u \ y,u,x) = z.
L(x \ T(y * x,y),x,y) = y.
x / (T(x,y) \ 1) = (T(x,y) \ 1) \ x.
T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x.
R(x,y,R(T(x,z),u,w)) = x.
K(x,y) != 1 / z | K(y,x) = z.
x \ (y * x) != z | T(y,x) = z.
T(x,L(x,y,z) * u) = L(T(x,u),u,L(x,y,z)).
L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y).
L(T(x,y),z,L(x,u,w)) != v5 | T(x,y) = v5.
T(x,y) = T(x,L(x,z,u) * y).
T(x,L(x,y,z) * u) = T(x,u).
T(x,y) != z | T(x,L(x,u,w) * y) = z.
T(x,L(x,y,z) * u) = T(x,x * u).
T(x \ 1,x \ y) = T(x \ 1,y).
T((x * y) \ (x * 1),y \ z) = L(T(y \ 1,z),y,x).
(x * y) * T(y \ (x \ y),z) = x * (y * T(y \ (x \ y),z)).
(x * ((y * x) \ z)) \ z != u | R(T(y,z),x,(y * x) \ z) = u.
R(T(x,y),z,(x * z) \ y) = y \ ((x * z) * (z \ y)).
T(x \ (x / y),y \ z) = L(T(y \ 1,z),y,x).
T(x \ (x / y),T(z,y)) = L(T(y \ 1,z * y),y,x).
(x \ y) * K(T(x,z),x \ y) = T(x \ y,x \ (T(x,z) \ y)).
x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x).
x \ ((y * z) * (z \ x)) != u | R(T(y,x),z,(y * z) \ x) = u.
R(T(x,y),z,(x * z) \ y) = R(T(x,y),z,z \ y).
x / R(T(y,x),z,z \ x) = z * ((y * z) \ x).
x / R(T(y,x),z,u) != w | R(y,z,u) \ x = w.
R(x,y,y \ z) \ z = y * ((x * y) \ z).
R(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)).
R(x,y * z,(y * z) \ ((x * y) * z)) \ ((x * y) * z) = (y * z) * a(x,y,z).
x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) * L(T(y,x) \ 1,z,u).
x \ ((y * x) * L(x \ (y \ x),z,u)) = T(y,x) * L(T(y,x) \ 1,z,u).
x \ T(x,y \ x) = K(y,x / y).
K(x,y / x) = y \ T(y,x \ y).
x \ T(x,y \ x) != z | K(y,x / y) = z.
K(x,y / x) = K(y,x \ y).
K(x,y \ x) = K(y,x / y).
K(x,y \ x) != z | K(y,x) = z.
K(x,y) = K(x,y / x).
K(x,y / x) = K(x,y).
K(x,y) = K(x,y * x).
K(x,y * x) = K(x,y).
K(x,y * x) != z | K(x,T(y,x)) = z.
K(x,T(y,x)) = K(x,y).
K(x,T(T(y,x),z)) = K(x,T(y,z)).
K(x,y * x) = K(x,x * y).
(x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y).
L(R(x \ 1,x,y),z,u) * (x * y) = (x * y) * L((x * y) \ y,z,u).
L(R(x \ 1,x,y),z,u) * (x * y) = (x * y) * L(y \ (x \ y),z,u).
(L(x \ 1,y,z) * x) * u = (x * u) * L(u \ (x \ u),y,z).
(x * y) * L(y \ (x \ y),z,u) = (L(x \ 1,z,u) * x) * y.
(x * y) * L(y \ (x \ y),z,u) = (x * L(x \ 1,z,u)) * y.
(x * y) * L(y \ (x \ y),z,u) != w | x * (y * L(y \ (x \ y),z,u)) = w.
x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y.
(x * (x \ y)) * z != u | y * z = u.
x * L((y \ x) \ (y \ (y \ x)),z,u) = (y * L(y \ 1,z,u)) * (y \ x).
(x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y.
x \ ((y * L(y \ 1,z,u)) * x) = T(y,x) * L(T(y,x) \ 1,z,u).
x * L(x \ (y \ x),z,u) = (y * L(y \ 1,z,u)) * (y \ x).
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
(x * L(x \ 1,y,y \ 1)) * (x \ y) = y * ((y \ 1) * (x \ y)).
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 * 1)),z).
T(x,y) * (R(T(x,y),z,u) \ 1) = T(x * L(x \ 1,z \ 1,u \ 1),y).
T(x * L(x \ 1,y \ 1,z \ 1),u) = T(x,u) * (R(T(x,u),y,z) \ 1).
T(x * (R(x,y,z) \ 1),u) = T(x,u) * (R(T(x,u),y,z) \ 1).
T(x,y) * (R(T(x,y),z,u) \ 1) = T(x * (R(x,z,u) \ 1),y).
x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y).
L(x,y,z) / u = u \ L(u * (x / u),y,z).
x \ L(x * (y / x),z,u) = L(y,z,u) / x.
(x / y) * (z \ x) != u | x * ((z * y) \ x) = u.
x * ((y * (y * x)) \ x) = (y \ x) * (x \ (y \ x)).
(x \ y) * (y \ (x \ y)) = y * ((x * (x * y)) \ y).
(x \ y) * (y \ (x \ y)) != z | x \ (x \ y) = z.
x \ (x \ y) = y * ((x * (x * y)) \ y).
x * ((y * (y * x)) \ x) = y \ (y \ x).
T(x,y) != z | T(x,x * y) = z.
T(x / (y * x),(x / (y * x)) * (y \ x)) = x \ (y \ x).
T(T(x,y) / (x * y),y \ T(x,y)) = T(x,y) \ (y \ T(x,y)).
T(x,y) \ (y \ T(x,y)) != z | T(T(x,y) / (x * y),y \ T(x,y)) = z.
T(T(x,y) / (x * y),y \ T(x,y)) = (x * y) \ T(x,y).
T(T(x,y) / (x * y),T(y \ x,y)) = (x * y) \ T(x,y).
T(x \ (x / y),T(y \ x,y)) = (x * y) \ T(x,y).
T(x / (y * x),x * ((y * (y * x)) \ x)) = x \ (y \ x).
T(x / (y * x),y \ (y \ x)) = x \ (y \ x).
T(x \ (x / y),y \ (y \ x)) = x \ (y \ x).
T(x \ (x / y),y \ z) != u | L(T(y \ 1,z),y,x) = u.
L(T(x \ 1,x \ y),x,y) = y \ (x \ y).
(x * y) \ ((y * x) * (K(x,y) * z)) = L(z,(y * x) \ (x * y),y * x).
(x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x).
K(x,T(y \ x,z)) = K(x,T(x / y,z)).
K(x,T(x / y,z)) = K(x,T(y \ x,z)).
K(x,T(y * x,z)) = K(x,T(x * y,z)).
T(x,(x \ 1) \ y) = T(x,y).
T(x,y) = T(x,(x \ 1) * y).
T(x,(x \ 1) * y) = T(x,y).
T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x).
R(T(x / y,z),y,u) * (y * u) = (y * u) * T((y * u) \ (x * u),z).
R(x,y,z) * (y * z) != u | (x * y) * z = u.
(T(x / y,z) * y) * u = (y * u) * T((y * u) \ (x * u),z).
(x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y.
(x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y.
(x * y) * 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.
T(R(x \ 1,x,y),z) * (R(x \ 1,x,y) \ y) = (x * y) * T(y \ (x \ y),z).
(x * y) * T(y \ (x \ y),z) != u | T(R(x \ 1,x,y),z) * (R(x \ 1,x,y) \ y) = u.
T(R(x \ 1,x,y),z) * (R(x \ 1,x,y) \ y) = x * (y * T(y \ (x \ y),z)).
R(T(x \ 1,y),x,z) * (R(x \ 1,x,z) \ z) = x * (z * T(z \ (x \ z),y)).
R(T(x \ 1,y),x,z) * (x * z) = x * (z * T(z \ (x \ z),y)).
(T(x \ 1,y) * x) * z = x * (z * T(z \ (x \ z),y)).
x * (y * T(y \ (x \ y),z)) = (T(x \ 1,z) * x) * y.
x * (y * T(y \ (x \ y),z)) != u | (x * y) * T(y \ (x \ y),z) = u.
(x * y) * T(y \ (x \ y),z) = (T(x \ 1,z) * x) * y.
(x * y) * T(y \ (x \ y),z) = (x * T(x \ 1,z)) * y.
(x * y) * T(y \ (x \ y),z) != u | y * (T(x,y) * T(T(x,y) \ 1,z)) = u.
x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * T(y \ 1,z)) * x.
(a(x,x,y) * (z * u)) \ (u * (a(x,x,y) * z)) != w | K(u,a(x,x,y) * z) = w.
K(x,a(y,y,z) * u) = (u * x) \ (a(y,y,z) \ (x * (a(y,y,z) * u))).
(x * y) \ (a(z,z,u) \ (y * (a(z,z,u) * x))) = K(y,a(z,z,u) * x).
a(x,x,y) \ (z * u) = (a(x,x,y) \ z) * u.
(x * y) \ ((a(z,z,u) \ y) * (a(z,z,u) * x)) = K(y,a(z,z,u) * x).
T(x * K(y,z),x * z) = T(x * K(y,z),L(T(z,y),K(y,z),x)).
T(x * K(y,z),L(T(z,y),K(y,z),x)) = T(x * K(y,z),x * z).
x * ((y \ x) / x) = (y \ x) * K(y,x).
(x \ y) * K(x,y) = y * ((x \ y) / y).
(x \ y) * K(x,y) = y * (y \ (y / x)).
x * (x \ (x / y)) != z | (y \ x) * K(y,x) = z.
(x \ y) * K(x,y) = y / x.
(x \ y) \ (y / x) = K(x,y).
x * y != z | (x \ 1) \ L(y,x,x \ 1) = z.
(T(x,y) \ 1) \ L(K(z,x),T(x,y),T(x,y) \ 1) = K(z,x) * T(x,y).
x / (T(x,y) \ 1) != z | (T(x,y) \ 1) \ x = z.
(T(x,y) \ 1) \ x = x * T(x,y).
(T(x,y) \ 1) * (x * T(x,y)) = x.
(T(x,y) \ 1) * (x * T(x,y)) != z | L(x,T(x,y),T(x,y) \ 1) = z.
L(x,T(x,y),T(x,y) \ 1) = x.
(x * y) * L(z,y,x) != u | x * (y * z) = u.
T(x * (y / x),x) != z | y = z.
(x \ y) * x != z | T(y,x) = z.
x * T(y,x) != z | y * x = z.
K(x,y) * K(y,x) != z * u | z \ 1 = u.
(x / y) * (x \ (x / z)) != u | x * (((x * z) * y) \ x) = u.
x * (x \ y) != z * u | z \ y = u.
x \ (L(x,y,z) * u) != w * v5 | w \ (L(x,y,z) * (x \ u)) = v5.
x * L(T(y,x),z,u) != w | L(y,z,u) * x = w.
K(x,y) * x != z | x * K(x,y) = z.
R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5.
x \ y != z \ (z * u) | x * u = y.
x \ (x * y) != z \ u | z * y = u.
(x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u.
x / (y \ x) != z | y = z.
((x * y) * z) / (y * z) != u | R(x,y,z) = u.
T(x,y) / y != z | y \ x = z.
1 / K(x,y) != z | K(y,x) = z.
x \ (x * y) != z | y = z.
x * (y / x) != z | T(y,x \ y) = z.
x * K(x,y) != z | T(x,y) = z.
K(x,y) * (x \ y) != z | y / x = z.
x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u.
x \ x != y | 1 = y.
(x / y) \ x != z | y = z.
(x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u.
(x * y) \ ((x * z) * (z \ y)) != u | a(x,z,z \ y) = u.
T(x,y) \ x != z | K(y,x) = z.
(T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z.
x \ T(x,y) != z | K(x,y) = z.
K(x,y) \ 1 != z | K(y,x) = z.
(x * y) \ z != u | L(y \ (x \ z),y,x) = u.
(x * y) \ x != z | L(y \ 1,y,x) = z.
(x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u.
x \ ((x * y) * (y \ 1)) != z | a(x,y,y \ 1) = z.
x * (y \ (y * z)) != u | x * z = u.
x * (y \ (y / z)) != u | x * L(z \ 1,z,y) = u.
x * y != ((z * x) / u) * u | T(z,x) = y.
((x * y) / z) * z != y * u | T(x,y) = u.
x \ y != a(z,z \ 1,y) | z * ((z \ 1) * y) = x.
a(x,x \ 1,y) != z \ y | x * ((x \ 1) * y) = z.
K(x,x \ y) != z | K(x,y) = z.
(x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5.
(a(x,x,y) * z) * u != w | a(x,x,y) * (z * u) = w.
x * L(x \ 1,y,z) = L(x * L(x \ 1,y,z),u,L(x,w,v5)).
L(x * L(x \ 1,y,z),u,L(x,w,v5)) = x * L(x \ 1,y,z).
x * L(x \ 1,y,z) != u | L(x * L(x \ 1,y,z),w,L(x,v5,v6)) = u.
L((x * y) * L((x * y) \ 1,y,x),z,L(x * y,u,w)) = x * (y * ((x * y) \ 1)).
L(x * (y * ((x * y) \ 1)),z,L(x * y,u,w)) = x * (y * ((x * y) \ 1)).
(x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5.
x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w.
x * ((y * x) \ (y * (z * x))) != u | L(z,x,y) * x = u.
(x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x).
K(x,y) / z = 1 / ((1 / z) \ K(y,x)).
1 / ((1 / x) \ K(y,z)) = K(z,y) / x.
(K(x,y) / z) \ 1 = (1 / z) \ K(y,x).
K(x \ 1,y) != z | K(x,y \ 1) = z.
K(x \ y,x) != z | K(y,x) = z.
K(T(x,y),y) = K(x,y).
K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x).
K(T(x,y),y) \ 1 != z | K(y,x) = z.
K(x,T(y,x)) != z | K(x,y) = z.
K(x,y * x) != z | K(x,x * y) = z.
K(x,y) != z | K(x,x * y) = z.
K(x,y) != z | K(y * x,y) = z.
x != T(y,z) | K(z,x) * x = y.
T(x,y) != z | K(y,z) * z = x.
K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z).
T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y).
(x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y).
(x * y) \ ((x * K(z,x)) * y) = L(K(z,T(x,y)),T(x,y),y).
L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z).
((x * y) * z) / (x * z) = R(y * K(x,y),x,z).
R(x * K(y,x),y,z) = ((y * x) * z) / (y * z).
(x * y) / x != z | y * K(x,y) = z.
x * K(y * x,x) = R(x * K(y,x),y,x).
R(x * K(y,x),y,x) = x * K(y * x,x).
R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y).
K(x,y) * L(x,z,x) = L(T(x,y),z,x).
x * L(y,z,u) != L(T(y,w),z,u) | K(L(y,z,u),w) = x.
K(L(x,y,x),z) = K(x,z).
T(x,y) * K(z,T(x,y)) = T((z * x) / z,y).
T((x * y) / x,z) = T(y,z) * K(x,T(y,z)).
T(x,y) * K(z,T(x,y)) != u | T((z * x) / z,y) = u.
T((x * y) / x,z) = (x * T(y,z)) / x.
(x * T(y,z)) / x = T((x * y) / x,z).
L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)).
(x \ K(y,x)) \ (x \ 1) = K(x,y).
L(x,T(y,y \ 1),z) = L(x,y,z).
(x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z).
x * (T(y,y \ 1) * z) != (x * T(y,y \ 1)) * u | L(z,y,x) = u.
(x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z.
T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z).
T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z).
((x / (x * y)) * L(x,z,u)) \ x = x * (((x / y) * L(x,z,u)) \ x).
((x / y) * z) \ x != u | x \ ((x / z) * y) = u.
x \ ((x / L(x,y,z)) * (x * u)) = x * (((x / u) * L(x,y,z)) \ x).
x \ ((L(x,y,z) \ x) * (x * u)) = x * (((x / u) * L(x,y,z)) \ x).
(((x / y) * (y * z)) / z) \ x = x \ ((x / L(z,y,x / y)) * z).
x \ ((x / L(y,z,x / z)) * y) = (((x / z) * (z * y)) / y) \ x.
x \ (((x / (y * z)) * y) * z) = (((x / y) * (y * z)) / z) \ x.
(((x / y) * (y * z)) / z) \ x = x \ (((x / (y * z)) * y) * z).
(x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w.
(x / y) / (y \ 1) != z | (x / (y \ 1)) * L(y \ 1,y,x) = z.
x * (y * R(y \ (x \ z),u,w)) = (x * y) * R((x * y) \ z,u,w).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
(x * y) \ ((x * K(z,x)) * y) != u | L(K(z,T(x,y)),T(x,y),y) = u.
L(K(x,T(y,z)),T(y,z),z) = R(T(K(x,y),y * z),y,z).
R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z).
T(x,L(K(y,x),z,u)) = x.
x * ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x * u).
(x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u).
(x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u).
(x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u).
(x \ 1) * ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u).
(x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u).
x \ T(x,x * y) = K(x,L(x,z,u) * y).
K(x,L(x,y,z) * u) = x \ T(x,x * u).
x \ T(x,x * y) != z | K(x,L(x,u,w) * y) = z.
K(x,L(x,y,z) * u) = K(x,x * u).
K(x,x * y) != z | K(x,L(x,u,w) * y) = z.
K(x,L(x,y,z) * u) = K(x,u).
K(x,(x \ 1) \ y) = K(x,x * y).
K(x,y) = K(x,L(x,z,u) \ y).
K(x,L(x,y,z) \ u) = K(x,u).
(x \ (y \ x)) * L(((y * x) \ x) \ 1,z,u) = (y * x) \ (x * L(T(y,x),z,u)).
(x \ (y \ x)) * L((x \ (y \ x)) \ 1,z,u) = (y * x) \ (x * L(T(y,x),z,u)).
(x \ y) * L((x \ y) \ 1,z,u) != w | x \ (y * L(y \ x,z,u)) = w.
x \ ((y \ x) * L((y \ x) \ x,z,u)) = (y * x) \ (x * L(T(y,x),z,u)).
(x \ (x / y)) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)).
(x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * L(y,z,u)).
x \ ((x / y) * L((x / y) \ x,z,u)) = (x * y) \ (x * L(y,z,u)).
x \ ((x / y) * L(y,z,u)) = (x * y) \ (x * L(y,z,u)).
(x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)).
(x * y) \ (x * z) != u | L(y \ z,y,x) = u.
L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)).
(x * (y \ 1)) \ (x / y) = x \ ((x / (y \ 1)) * L(y \ 1,y,x)).
x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x * (y \ 1)) \ (x / y).
x \ ((x / y) * L(y,z,u)) != L(w,y,x) | y \ L(y,z,u) = w.
L(x,y,z) != z \ ((z / y) * L(y,u,w)) | y \ L(y,u,w) = x.
(x \ 1) * (y * L(y \ x,z,u)) = ((x \ 1) * y) * L((y \ 1) * x,z,u).
((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ x,z,u)).
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
(x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5.
x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y.
x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y.
(x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5.
T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u).
x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x).
x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x).
x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u).
x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y.
(x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)).
x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5.
(L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x).
L(x,y,z) \ x = x * (L(x,y,z) \ 1).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
L(x / y,z,u) \ x = (x / y) * (L(x / y,z,u) \ y).
(x / y) * (L(x / y,z,u) \ y) = L(x / y,z,u) \ x.
(L(x / y,z,u) \ x) \ y = y \ (L(x / y,z,u) * ((x / y) \ y)).
x \ (L(y / x,z,u) * ((y / x) \ x)) = (L(y / x,z,u) \ y) \ x.
x \ (L(y / x,z,u) * (x * (y \ x))) = (L(y / x,z,u) \ y) \ x.
x \ (L(x,y,z) \ x) = L(x,y,z) \ 1.
L(x,y,z) \ (L(x,u,w) * (x \ v5)) = x \ (L(x,y,z) \ (L(x,u,w) * v5)).
T(x,y) \ y = x \ T(y,x).
((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z).
(x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z).
x * (((y * x) / y) * z) = ((y * x) / y) * (x * z).
((x * y) / x) * (y * z) = y * (((x * y) / x) * z).
((x * y) / x) * z = y * (((x * y) / x) * (y \ z)).
x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z.
T(x,y) = ((x * y) / x) * (y \ x).
((x * y) / x) * (y \ x) = T(x,y).
T(x,y) / (y \ x) = (x * y) / x.
T(K(x,y),x * K(z,x)) = K(x,y).
T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u.
T(x * K(y,x),K(x,z)) = x * K(y,x).
K(x \ 1,y) = K(1 / x,y).
K(1 / x,y) = K(x \ 1,y).
(1 / x) * K(x \ 1,y) = T(1 / x,y).
(x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)).
(x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)).
x * (y \ (x * L(x \ y,z,u))) = (x * (y \ x)) * L(x \ y,z,u).
(x * (y \ x)) * L(x \ y,z,u) = x * (y \ (x * L(x \ y,z,u))).
(x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u.
T(x,x * L(x \ 1,y,z)) = x.
K(x,x * L(x \ 1,y,z)) = 1.
R(x,y,z) \ R(x,y,z) = K(R(x,y,z),x \ R(x,u,w)).
K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z).
K(x \ (x * y),z) = K(y,z).
K(R(x,y,x),z) = K(x,z).
T(x,y) != z | R(T(x,y),u,x) = z.
R(T(x,y * x),z,x) = T(x,y).
(x * y) / y != z | z = x.
x \ (x * y) != z | z = y.
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
(x * (y \ x)) \ x != z | x \ y = z.
(a(x,x,y) \ z) \ u != w | z \ (a(x,x,y) * u) = w.
1 / K(x,y) = K(y,R(x,z,x)).
K(x,R(y,z,y)) = 1 / K(y,x).
T((x * y) / x,x) != z | z = y.
((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z).
x != y | z != y | x = z.
(x * y) * z != x * (y * 1) | 1 = z.
1 = L(1,x,y).
L(1,x,y) = 1.
K(x,R(y,z,y)) != u | K(x,y) = u.
K(x,(y \ 1) \ 1) != z | K(x,y) = z.
x != y \ y | 1 = x.
1 = K(R(x,y,z),x \ R(x,u,w)).
K(R(x,y,z),x \ R(x,u,w)) = 1.
K((x / y) \ x,z) = K(y,z).
x * T(x \ y,y) != z | T(y,T(x,y)) = z.
T(x \ y,T(x \ 1,x \ y)) = x \ T(y,x \ y).
x != y \ T(z,y \ z) | z / y = x.
x / y = T(y \ x,T(y \ 1,y \ x)).
T(x \ y,T(x \ 1,x \ y)) = y / x.
T(x,T(y,x)) != z | T(x,y) = z.
T(x \ y,x \ 1) = y / x.
T(x,y \ 1) = (y * x) / y.
T(L(x,y,z),(z * y) \ 1) = (z * (y * x)) / (z * y).
(x / y) \ ((y \ x) * z) = (y \ x) * (T(y \ x,y \ 1) \ z).
(x \ y) * (T(x \ y,x \ 1) \ z) = (y / x) \ ((x \ y) * z).
(x / y) / (y \ 1) = (y \ 1) \ (y \ x).
L(x / y,y,y \ 1) = x * (y \ 1).
L(x / y,y,y \ 1) != z | (y \ 1) * T(x,y \ x) = z.
(x \ 1) * T(y,x \ y) = y * (x \ 1).
L(x,y,y \ 1) = (x * y) * (y \ 1).
(x * y) * (y \ 1) = L(x,y,y \ 1).
((x * (y \ 1)) \ (x / y)) \ 1 = (x / y) \ L(x / y,y,y \ 1).
(x / y) \ L(x / y,y,y \ 1) = ((x * (y \ 1)) \ (x / y)) \ 1.
(x * y) * (y \ 1) != z | R(x,y,y \ 1) = z.
R(x,y,y \ 1) = L(x,y,y \ 1).
x * (y \ 1) != L(T(z,y \ 1),y,y \ 1) | y * z = x.
x * y = T(y,x \ 1) * x.
T(x,y \ 1) * y = y * x.
x \ L(x,y,y \ 1) = a(x,y,y \ 1).
T(x,y \ 1) = T(x,y \ x).
(x * (y \ 1)) * y = y * ((y \ 1) * x).
(x * (y \ 1)) * y = L(x,y \ 1,y).
x != T(y,z \ y) | y * K(z,y) = x.
x * K(y,x) = T(x,y \ 1).
T(x,y \ 1) = x * K(y,x).
x != T(y,z \ y) | z * (y / z) = x.
x * (y / x) = T(y,x \ 1).
T(x,y \ 1) = y * (x / y).
T(x,x * (y \ 1)) = T(x,y \ x).
T(T(x,y),y \ 1) = x.
T(x,y) = T(x,(y \ 1) \ x).
T(x,(y \ 1) \ x) = T(x,y).
T(x,R(y,z \ 1,u \ 1)) = T(x,L(y \ 1,z,u) \ x).
T(T(x,y \ 1),y) = x.
T(x,K(y,z)) = T(x,K(z,y) \ x).
T(x,K(y,z) \ x) = T(x,K(z,y)).
T(x \ y,T(x,z) \ 1) = T(x \ y,x \ (T(x,z) \ y)).
T(x \ y,x \ (T(x,z) \ y)) = T(x \ y,T(x,z) \ 1).
x / y = T(y \ x,x \ 1).
T(x \ y,y \ 1) = y / x.
T(x,y) = T(T(T(x,z),y),z \ 1).
T(T(T(x,y),z),y \ 1) = T(x,z).
(x \ 1) * y = T(y,x) * (x \ 1).
T(x,y) * (y \ 1) = (y \ 1) * x.
T(x * (y \ 1),y) = (y \ 1) * x.
x != T(y,z \ 1) | T(x,z) = y.
T(x,y \ 1) != z | T(z,y) = x.
L((x \ 1) \ 1,x \ 1,x * (y / x)) = L((x \ 1) \ 1,x \ 1,y).
T(x / y,x \ 1) = x * (x / (x * y)).
T(x,y \ 1) != z | T(x,y \ x) = z.
L(x,x \ 1,x * (y / x)) = L((x \ 1) \ 1,x \ 1,y).
L((x \ 1) \ 1,x \ 1,y) = L(x,x \ 1,x * (y / x)).
L(x,x \ 1,y) = L(x,x \ 1,x * (y / x)).
L(x,x \ 1,x * (y / x)) = L(x,x \ 1,y).
L(x,x \ 1,y) = L(x,x \ 1,T(y,x)).
L(x,x \ 1,T(y,x)) = L(x,x \ 1,y).
x * y = L(x / (y \ 1),y \ 1,y).
L(x / (y \ 1),y \ 1,y) = x * y.
T(x,((x \ 1) / y) \ 1) = T(x,y).
(x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x.
x != T(y,z) | K(y,z) * y = x.
K(x,y) * x = T(x,((x \ 1) / y) \ 1).
T(x,((x \ 1) / y) \ 1) = K(x,y) * x.
K(x \ 1,y) = K(y,x).
x != K(y,z) | K(y,y * z) = x.
K(x,x * y) = K(y \ 1,x).
K(x \ 1,y) = K(y,y * x).
K(x,y \ 1) = K(y,x).
K((x \ 1) / y,z) = K(z,(y \ 1) \ x).
K(L(x,y \ 1,z \ 1),u) = K(u,R(x \ 1,y,z)).
K(K(x,y),z) = K(z,K(y,x)).
K(x,y) \ T(y \ 1,x) = y \ 1.
K(x,L(y,z \ 1,u \ 1)) = K(R(y \ 1,z,u),x).
K(x,y) * ((x \ 1) * y) = y * (x \ 1).
T(x \ 1,y) * K(x,y) = x \ 1.
K(x,K(y,z) * (u \ 1)) = K(u * K(z,y),x).
T(x \ 1,K(x,y)) = x \ 1.
K(x \ 1,y) != z | K(y,x) = z.
T(x,y) \ 1 = T(x \ 1,y).
T(x \ 1,y) \ 1 = T(x,y).
x * (T(y,z) \ 1) = x * T(y \ 1,z).
R(T(x,y),z,u) \ 1 = T(R(x,z,u) \ 1,y).
T(1 / x,y) \ 1 = T(x,y).
(x \ y) \ 1 = T((y / x) \ 1,x).
T((x / y) \ 1,y) = (y \ x) \ 1.
(x * y) \ 1 = T((y * x) \ 1,y).
T((x * y) \ 1,x) = (y * x) \ 1.
x * T(x \ 1,y) = K(x,y \ x).
T(K(x,y),z) \ 1 = T(K(y,x),z).
T(((x \ 1) \ y) \ 1,z) * x = (x \ T(x * y,z)) \ 1.
x * (T(y,x) * T(T(y \ 1,x),z)) = (y * T(y \ 1,z)) * x.
T(x \ 1,y) * T((T(x,y) \ 1) \ K(y,x),z) = T(x,y) \ T(x,z).
T(x \ 1,y) \ L(K(z,x),T(x,y),T(x,y) \ 1) = K(z,x) * T(x,y).
L(x,T(x,y),T(x \ 1,y)) = x.
x * T(x \ 1,y) = K(y,x).
x \ 1 = T(x \ 1,x \ R(x,y,z)).
T(x \ 1,x \ R(x,y,z)) = x \ 1.
K(x,T(y \ 1,z)) = K(T(y,z),x).
L(x,y,z) * T(L(x,y,z) \ 1,u) != w | L(x * T(x \ 1,u),y,z) = w.
L(x * T(x \ 1,y),z,u) = K(L(x,z,u),y \ L(x,z,u)).
K(L(x,y,z),u \ L(x,y,z)) = L(x * T(x \ 1,u),y,z).
x * K(x \ y,z \ (x \ y)) = y * T(y \ (x * 1),z).
T(x,y) * T(T(x \ 1,y),z) = K(T(x,y),z \ T(x,y)).
K(L(x,y,z),u \ L(x,y,z)) = L(K(x,u \ x),y,z).
K(x,L(y,z,u)) = L(K(y,x \ y),z,u).
L(K(x,y \ x),z,u) = K(y,L(x,z,u)).
L(K(x,y \ x),z,u) != w | K(y,L(x,z,u)) = w.
L(K(x,y),z,u) = K(x,L(y,z,u)).
(x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)).
x * K(y,L(z,u,x / u)) = (x / u) * (u * K(y,z)).
(x * y) \ ((x * y) / K(z,L(u,y,x))) = (x * (y * K(z,u))) \ (x * y).
x / K(y,L(z,u,x / u)) = (x / (u * K(y,z))) * u.
L(K(x,y),z,y) = K(x,y).
x / K(y,L(z,K(z,y),x)) = x * K(z,y).
L(K(x,y),z,u) = K(y,L(x \ 1,z,u)).
K(x,L(y \ 1,z,u)) = L(K(y,x),z,u).
T(x * y,L(z,y,x)) = x * (y * K(x * y,z)).
x * (y * K(x * y,z)) = T(x * y,L(z,y,x)).
(x * y) * K(z,x) = x * (y * K(z,x)).
(T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)).
x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u.
x * K(y,z) = z * ((z \ x) * K(y,z)).
x * ((x \ y) * K(z,x)) = y * K(z,x).
(x * y) * K(z,x) != x * u | y * K(z,x) = u.
x * ((y * x) \ 1) = ((x * y) \ 1) * x.
((x * y) \ 1) * x = x * ((y * x) \ 1).
T(K(x,y) * (z \ 1),z) = (K(y,x) * z) \ 1.
((x * y) \ 1) * x != z | L(y,x,x \ 1) \ 1 = z.
L(x,y,y \ 1) \ 1 = y * ((x * y) \ 1).
((x \ y) \ 1) / x = x \ ((y / x) \ 1).
K(x,y) * K(z,K(y,x)) = T(K(x,y),z).
x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x.
K(x,L(y,z,u)) = K(y,L(x \ 1,z,u)).
K(x,L(y \ 1,z,u)) = K(y,L(x,z,u)).
K(x,y) != z | K(y \ 1,x) = z.
K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z).
K(x,L(y,z,u)) = K(y \ 1,L(x,z,u)).
K(x \ 1,L(y,z,u)) = K(y,L(x,z,u)).
x / K(y,L(x,z,u)) = T(x,L(y \ 1,z,u) \ x).
T(x,L(y \ 1,z,u) \ x) = x / K(y,L(x,z,u)).
K(L(x,y,z),u) = K(x,L(u,y,z)).
x != K(y,L(z,u,w)) | L(K(y,z),u,w) = x.
L(K(x,y),z,u) = K(L(x,z,u),y).
K(L(x,y,x),z) != u | K(x,z) = u.
K(x,y) = K(x,L(y,z,x)).
K(x,L(y,z,x)) = K(x,y).
K(L(x,y,z),z) = K(x,z).
K(L(x,y,L(z,u,w)),z) = K(x,z).
x / K(y,L(x,z,u)) = T(x,L(y,z,u)).
x / K(y,L(x,z,u)) != w | T(x,L(y \ 1,z,u) \ x) = w.
T(x,L(y \ 1,z,u) \ x) = T(x,L(y,z,u)).
T(x,(y \ (y / z)) \ x) = T(x,L(z,z,y)).
T(x,L(y,y,z)) = T(x,(z \ (z / y)) \ x).
x * K(x,L(y,y,z)) = T(x,(z \ (z / y)) \ x).
T(x,(y \ (y / z)) \ x) = x * K(x,L(z,z,y)).
K(x \ (x / y),z) = K(z,L(y,y,x)).
(x * y) * K(x \ (x / y),z) = x * (y * K(z,y)).
K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w.
L(K(x,y),z,x) = K(x,y).
K(x,y \ (x * z)) = K(x,(x \ y) \ z).
K(x,(x \ y) \ z) = K(x,y \ (x * z)).
K(x,(x * y) \ z) = K(x,y \ (x \ z)).
x * K(x,y) = T(x,L(y,z,x)).
T(x,L(y,z,x)) = x * K(x,y).
K(x,K(y,L(z,u,x))) = K(x,K(y,z)).
(x * y) * K(x,z) = x * (y * K(x,z)).
x != y * K(y,z) | T(y,z) = x.
T(x,y) = T(x,L(y,z,x)).
T(x,L(y,z,x)) = T(x,y).
L(x,y,z) * T(z,x) = z * L(x,y,z).
T(x,K(y,L(z,u,x))) = T(x,K(y,z)).
R(x,y,K(x,z)) = x.
(x * y) * K(y,z) = y * (T(x,y) * K(y,z)).
x * (T(y,x) * K(x,z)) = (y * x) * K(x,z).
L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w).
(L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)).
R(x,y,K(z,x) \ 1) = x.
R(x \ 1,y,K(z,x)) = x \ 1.
L(x,y,K(z,x \ 1)) = x.
L(x,y,K(x,z)) = x.
T(x,y) = L(T(x,y),z,K(x,u)).
L(T(x,y),z,K(x,u)) = T(x,y).
(K(x,y) * z) * x = K(x,y) * (z * x).
L(x,y,K(z,x)) = x.
T(x,y) * T(R(x,z,u) \ 1,y) = R(T(x,y),z,u) \ T(x,y).
T(x,y) * T(R(x,z,u) \ 1,y) = T(x * (R(x,z,u) \ 1),y).
T(x,y) \ 1 != z | T(x \ 1,y) = z.
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
x * y != y * (z * y) | y * z = x.
K(x,y) * z = T(z * K(x,y),K(y,x)).
T(x * K(y,z),K(z,y)) = K(y,z) * x.
x * y != T(x,K(z,u)) * K(u,z) | T(K(u,z),x) = y.
T(x,K(y,z)) * K(z,y) != x * u | T(K(z,y),x) = u.
(x * K(y,x)) * K(z,x) = K(z,x) * (x * K(y,x)).
K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y).
T(x,y) * T(R(x,z,u) \ 1,y) = T(R(x,z,u) \ x,y).
T(x,y) * T(R(x,z,u) \ 1,y) != w | R(T(x,y),z,u) \ T(x,y) = w.
R(T(x,y),z,u) \ T(x,y) = T(R(x,z,u) \ x,y).
T(R(x,y,z) \ x,u) \ 1 = T(x,u) \ R(T(x,u),y,z).
T((R(x,y,z) \ x) \ 1,u) = T(x,u) \ R(T(x,u),y,z).
T(x \ R(x,y,z),u) = T(x,u) \ R(T(x,u),y,z).
T(x,y) \ R(T(x,y),z,u) = T(x \ R(x,z,u),y).
K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w.
K(x,L(y,z \ 1,u \ 1)) = K(y,R(x \ 1,z,u)).
K(x \ 1,L(y,z \ 1,u \ 1)) = K(y,R(x,z,u)).
K(x \ 1,L(y,z,u)) != w | K(y,L(x,z,u)) = w.
K(x,L(y,z \ 1,u \ 1)) = K(x,R(y,z,u)).
x != T(y,L(z \ 1,u,w) \ y) | T(y,L(z,u,w)) = x.
T(x,L(y,z,u)) = T(x,R(y,z \ 1,u \ 1)).
T(x,R(y,z \ 1,u \ 1)) = T(x,L(y,z,u)).
(x * y) \ (T(y,x \ 1) * (x * z)) = L(z,x,T(y,x \ 1)).
(x \ (y \ 1)) * y = y * ((y \ 1) / x).
(x * (a(y,z,x) * T(u,x \ 1))) \ (a(y,z,x) * (x * u)) = K(a(y,z,x) * T(u,x \ 1),x).
K(x,L(y,z \ 1,u \ 1)) != w | K(x,R(y,z,u)) = w.
K(x,R(y,z,u)) = K(R(y \ 1,z,u),x).
K(R(x \ 1,y,z),u) = K(u,R(x,y,z)).
K(R(x,y,z),u) = K(u,R(x \ 1,y,z)).
K(x,R(y \ 1,z,u)) = K(R(y,z,u),x).
K(x,R(y \ 1,z,u)) != w | K(y,L(x,z \ 1,u \ 1)) = w.
K(x,L(y,z \ 1,u \ 1)) = K(R(x,z,u),y).
K(x,R(y,z,u)) = K(R(x,z,u),y).
K(R(x,y,z),u) = K(x,R(u,y,z)).
K(R(x,y,x),z) != u | K(x,z) = u.
K(x,y) = K(x,R(y,z,x)).
K(x,R(y,z,x)) = K(x,y).
x * (T(y,x) * T(T(y \ 1,x),z)) = K(y,z \ y) * x.
x * K(T(y,x),z \ T(y,x)) = K(y,z \ y) * x.
x * K(y,T(z,x)) = K(z,y \ z) * x.
K(x,y \ x) * z = z * K(y,T(x,z)).
K(x,y) * z = z * K(x,T(y,z)).
x * K(y,T(z,x)) = K(y,z) * x.
T(K(x,y),z) = K(x,T(y,z)).
T(x,y) * z != K(x,u) * T(x,y) | K(x,u) = z.
K(x,y) = K(x,T(y,T(x,z))).
K(x,T(y,T(x,z))) = K(x,y).
x * y != K(z,u \ z) * x | K(u,T(z,x)) = y.
K(x,T(y,z)) = K(y,T(x \ y,z)).
K(x,T(y \ x,z)) = K(y,T(x,z)).
x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x.
x * K(y,T(z,x)) != K(y,z) * u | x = u.
K(x,y) * z != u * K(x,T(y,u)) | u = z.
x * K(y,z \ x) = K(y,x / z) * x.
K(x,y / z) * y = y * K(x,z \ y).
x * K(y,x \ z) = K(y,z / x) * x.
K(x,y / z) * z = z * K(x,z \ y).
(x * y) * K(z,T(x,y)) = K(z,x) * (x * y).
T(x,y) * K(z,T(y,x)) = K(z,y) * T(x,y).
x * K(y,z * x) = K(y,x * z) * x.
K(x,y * z) * y = y * K(x,z * y).
(x \ 1) * K(y,x / z) = K(y,z \ x) * (x \ 1).
K(x,y \ z) * (z \ 1) = (z \ 1) * K(x,z / y).
T(K(x,y),z) != u | K(x,y) * K(z,K(y,x)) = u.
K(x,y) * K(z,K(y,x)) = K(x,T(y,z)).
T(K(x,y / z),y) = K(x,z \ y).
x / K(y,T(z,x)) = K(y,z) \ x.
T(x,K(y,T(z,x))) = T(x,K(y,z)).
T(K(x,y),K(y,z)) = K(x,y).
K(x,K(y,T(z,x))) = K(x,K(y,z)).
x * K(y,T(z,x)) != u | K(y,z) * x = u.
T(x,K(y,x \ z)) = T(x,K(y,z / x)).
T(x,K(y,z / x)) = T(x,K(y,x \ z)).
K(x,y) * K(K(y,x),z) = K(x,T(y,z \ 1)).
T((K(x,y * z) * y) \ 1,y) = (K(x,z * y) * y) \ 1.
(x * y) * K(x \ (x / y),z) = x * T(y,z \ y).
K(x,K(y,z * x)) = K(x,K(y,z / (x \ 1))).
K(x,K(y,z / (x \ 1))) = K(x,K(y,z * x)).
x / ((x \ 1) * y) = (y * (x \ 1)) \ x.
T(x,(x \ 1) * y) = T(x,y * (x \ 1)).
x / ((y \ ((x \ 1) \ 1)) * (x \ 1)) = ((((x \ 1) \ 1) / y) * (x \ 1)) \ x.
x / ((y \ x) * (x \ 1)) = ((((x \ 1) \ 1) / y) * (x \ 1)) \ x.
((((x \ 1) \ 1) / y) * (x \ 1)) \ x = x / ((y \ x) * (x \ 1)).
((x / y) * (x \ 1)) \ x = x / ((y \ x) * (x \ 1)).
x / ((y \ x) * (x \ 1)) = ((x / y) * (x \ 1)) \ x.
x != ((y / z) * u) \ y | y \ ((y / u) * z) = x.
x \ ((x / (x \ 1)) * y) = x / ((y \ x) * (x \ 1)).
x / ((y \ x) * (x \ 1)) = x \ ((x / (x \ 1)) * y).
x / ((y \ x) * (x \ 1)) = x \ ((x * x) * y).
(x * ((y \ x) * (x \ 1))) \ x = x \ (x \ ((x * x) * y)).
x * K(x \ y,z \ (x \ y)) = y * T(y \ x,z).
x * K(y,x \ z) = z * T(z \ x,y).
x * T(x \ y,z) = y * K(z,y \ x).
(x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u.
x \ T(x * y,z) = y * K(z,y \ (x \ 1)).
x \ (y * T(y \ x,z)) = K(z,x \ y).
(x / y) * T((x / y) \ x,z) = x * K(z,L(y \ 1,y,x)).
K(x,T(y \ x,z)) != u | K(x,T(x / y,z)) = u.
K(x,T(x / y,z)) = K(y,T(x,z)).
T((x \ 1) / y,z) * y = (y \ T(y * x,z)) \ 1.
(x \ T(x * y,z)) \ 1 = T((y \ 1) / x,z) * x.
x != T(y / z,u) * z | z * T(z \ y,u) = x.
x * T(x \ (y \ 1),z) = (x \ T(x * y,z)) \ 1.
(x \ T(x * y,z)) \ 1 = x * T(x \ (y \ 1),z).
((x / y) \ T(x,z)) \ 1 = (x / y) * T((x / y) \ (y \ 1),z).
(x / y) * T((x / y) \ (y \ 1),z) = ((x / y) \ T(x,z)) \ 1.
x * T(x \ y,z) != u | y * K(z,y \ x) = u.
(x \ 1) * K(y,(x \ 1) \ (z / x)) = ((z / x) \ T(z,y)) \ 1.
((x / y) \ T(x,z)) \ 1 = (y \ 1) * K(z,(y \ 1) \ (x / y)).
x * K(y,z) != u | x / K(z,L(y,K(y,z),x)) = u.
x / K(L(y,z,x / z),L(u,K(u,L(y,z,x / z)),x)) = (x / z) * (z * K(u,y)).
x / K(y,L(L(z,K(z,L(y,u,x / u)),x),u,x / u)) = (x / u) * (u * K(z,y)).
x / K(y,L(z,u,x / u)) != w | (x / (u * K(y,z))) * u = w.
(x / (y * K(z,L(u,K(u,L(z,y,x / y)),x)))) * y = (x / y) * (y * K(u,z)).
x != K(y,z) | K(z \ 1,y) = x.
K(x \ 1,y) = x * T(x \ 1,y).
x * T(x \ 1,y) = K(x \ 1,y).
(x * y) * T(x \ (x / y),z) = x * K(z,y).
(x * y) * T(y \ (x \ y),z) = K(z,x) * y.
x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y.
(x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y.
T(x * K(y,z),x * z) = T(x \ (x / z),y) * (x * z).
T(x \ (x / y),z) * (x * y) = T(x * K(z,y),x * y).
(x \ 1) * K(y,z) = K(y,T(z,x)) * (x \ 1).
K(x,T(y,z)) * (z \ 1) = (z \ 1) * K(x,y).
(x * (x / (x * y))) * y = y * T(y \ x,x \ 1).
(x * (x / (x * y))) * y = y * (x / y).
x * y != y * z | T(z,y \ 1) = x.
T(x / y,y \ 1) = x * (x / (x * y)).
T(x,K(y,z * x)) = T(x,K(y,z / (x \ 1))).
T(x,K(y,z / (x \ 1))) = T(x,K(y,z * x)).
(x * y) \ (T(y,x \ y) * (x * z)) = L(z,x,T(y,x \ 1)).
K(x,(y * x) / (z * x)) = K(x,y / z).
K(x,y) * (z \ 1) != u | (z * K(y,x)) \ 1 = u.
(x * K(y \ x,z)) \ 1 = (x \ 1) * K(z,x / y).
K(x / y,z) * x = x * K(y \ x,z).
x * L(y,z,u) != L(y,z,u) * K(w,y) | K(w,y) = x.
K(x \ L(y,z,u),y) = K(L(y,z,u) / x,y).
K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x).
T(K(x / y,z),x) = K(y \ x,z).
K(x,y) * (x * z) = (x * z) * K(z \ (x * z),y).
(x * y) * K(y \ (x * y),z) = K(x,z) * (x * y).
x / (x * K(y \ x,z)) = x \ (x / K(x / y,z)).
(x * y) * K(T(x,y),z) = K(x,z) * (x * y).
x * y != K(z,u) * x | K(z,T(u,x)) = y.
K(x,T(y,x * z)) = K(T(x,z),y).
(x * (x \ (x / K(x / y,z)))) * K(y \ x,z) = K(y \ x,z) * (x / K(y \ x,z)).
(x / K(x / y,z)) * K(y \ x,z) = K(y \ x,z) * (x / K(y \ x,z)).
x != y * (z / y) | T(z,y \ z) = x.
T(x,K(y \ x,z) \ x) = (x / K(x / y,z)) * K(y \ x,z).
(x / K(x / y,z)) * K(y \ x,z) = T(x,K(y \ x,z) \ x).
x != T(y,K(z,u) \ y) | T(y,K(u,z)) = x.
T(x,K(y,z \ x)) = (x / K(x / z,y)) * K(z \ x,y).
(x / K(x / y,z)) * K(y \ x,z) = T(x,K(z,y \ x)).
(x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K(u,(x * (y * z)) \ (x * y)).
T(K(x,y \ z),y \ 1) = (z * T(z \ y,x)) / y.
(x * (y * z)) \ ((x * y) * L(T(z,u),y,x)) = K(u,(x * (y * z)) \ (x * y)).
(x * (y * z)) \ (x * (y * T(z,u))) = K(u,(x * (y * z)) \ (x * y)).
(x / y) * T(y,z) = x * K(z,L(y \ 1,y,x)).
x * K(y,L(z \ 1,z,x)) = (x / z) * T(z,y).
x * K(y,L(z,y,x)) = (x / y) * T(y,z).
x * K(y,L(z,y,x)) != (x / y) * u | T(y,z) = u.
(x / y) * z != x * K(y,L(u,y,x)) | T(y,u) = z.
L(T(x,y),z,K(u,x)) = T(x,y).
T(L(x,y,z),u) != w | L(T(x,u),y,z) = w.
L(T(x,(y * z) \ 1),z,y) = (y * (z * x)) / (y * z).
L(T(K(x,y),(z * x) \ 1),x,z) = (z * T(x,y)) / (z * x).
T(x \ y,x \ (T(x,z) \ y)) = T(x \ y,T(x \ 1,z)).
L(K(x,T(y,(z * x) \ 1)),x,z) = (z * T(x,y)) / (z * x).
L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w.
K(x,L(T(y,(z * x) \ 1),x,z)) = (z * T(x,y)) / (z * x).
K(x,(y * (x * z)) / (y * x)) = (y * T(x,z)) / (y * x).
T((x \ 1) * K(x * y,z),x) = (K(z,y * x) * x) \ 1.
T(x,y) != (K(z,u) * y) \ 1 | K(u,z) * (y \ 1) = x.
K(x * y,z) * (y \ 1) = (y \ 1) * K(y * x,z).
x * (y \ 1) != (y \ 1) * K(z,u) | K(z,T(u,y)) = x.
K(x * y,T(z,x)) = K(y * x,z).
K(L(x,y,z) * u,x) = K(u * L(x,y,z),x).
K(K(x,y) * z,y) = K(z * K(x,y),y).
K(T(x / y,y \ 1),T(z,x)) = K((x / (x * y)) * x,z).
T(K(x,y),z) != u | K(x,T(y,z)) = u.
K(x,T(y \ z,y \ 1)) = (z * T(z \ y,x)) / y.
K(x,y / z) = (y * T(y \ z,x)) / z.
(x * T(x \ y,z)) / y = K(z,x / y).
(x * T(y,z)) / (x * y) = K(z,x / (x * y)).
(x * (y * T(y \ (x \ z),u))) / z = K(u,(x * y) / z).
L(K(x,y / z),z,z \ 1) = (y * T(y \ z,x)) * (z \ 1).
T(x * T(x \ y,z),y \ 1) = y * K(z,x / y).
(x * T(y,z)) / (x * y) != u | K(y,(x * (y * z)) / (x * y)) = u.
K(x,(y * (x * z)) / (y * x)) = K(z,y / (y * x)).
K(x,L(y / z,z,z \ 1)) = (y * T(y \ z,x)) * (z \ 1).
K(x,y * (z \ 1)) = (y * T(y \ z,x)) * (z \ 1).
(x * T(x \ y,z)) * (y \ 1) = K(z,x * (y \ 1)).
K(x,K(y,z / (x \ 1))) * T(z * T(z \ (x \ 1),y),(x \ 1) \ 1) = K(y,z / (x \ 1)) * (x \ 1).
K(x,K(y,z / (x \ 1))) * T(z * T(z \ (x \ 1),y),x) = K(y,z / (x \ 1)) * (x \ 1).
((x * y) * (z * T(z \ ((x * y) \ (y * z)),u))) / (y * z) = K(u,R(x,y,z)).
(x * ((y \ (x \ z)) * y)) / z = K(y,(x * y) / z).
(((x * y) * T((x * y) \ y,z)) * u) / (y * u) = K(z,R(x,y,u)).
(((x * y) * T(y \ (x \ y),z)) * u) / (y * u) = K(z,R(x,y,u)).
((K(x,y) * z) * u) / (z * u) = K(x,R(y,z,u)).
R(K(x,y),z,u) = K(x,R(y,z,u)).
K(x,R(y,z,z \ u)) * u = (K(x,y) * z) * (z \ u).
K(x,R(y,z,z \ u)) \ u = z * ((K(x,y) * z) \ u).
R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))).
(x * T(x \ y,z)) / y = K(z,(x * z) / y).
K(x,(y * x) / z) = (y * T(y \ z,x)) / z.
x != (y * T(y \ z,u)) / z | K(u,y / z) = x.
K(x,y / z) = K(x,(y * x) / z).
K(x,(y * x) / z) = K(x,y / z).
K(x,(y * x) / (z * x)) != u | K(x,y / z) = u.
K(x,y / z) = K(x,y / (z * x)).
K(x,y / (z * x)) = K(x,y / z).
K(x,(y * (x * z)) / (y * x)) != u | K(z,y / (y * x)) = u.
K(x,y / (y * z)) = K(z,(y * (z * x)) / y).
K(x,(y * (x * z)) / y) = K(z,y / (y * x)).
K(T(x,y),z / y) = K(T(x,y),z / (x \ y)).
K(T(x,y),z / (x \ y)) = K(T(x,y),z / y).
K(x,y * ((x * z) / y)) = K(z,y / (y * x)).
x * y != (x / z) * K(u,x) | (T(x,u) * z) \ x = y.
(T(x,y) * z) \ x = (x \ (x / z)) * K(y,x).
(x \ (x / y)) * K(z,x) = (T(x,z) * y) \ x.
((x * y) \ x) * K(z,x) = (T(x,z) * y) \ x.
(x \ y) * K(z,y) = (T(y,z) * (y \ x)) \ y.
(T(x,y) * (x \ z)) \ x = (z \ x) * K(y,x).
((x \ y) * K(z,y)) \ y = T(T(y,z) * (y \ x),y).
((x \ y) * K(z,y)) \ y = T(y \ (T(y,z) * x),y).
((x \ y) * K(z,y)) \ y = T(y \ ((y / K(z,y)) * x),y).
T(x \ ((x / K(y,x)) * z),x) = ((z \ x) * K(y,x)) \ x.
T(((x / y) * K(z,x)) \ x,x) = ((y \ x) * K(z,x)) \ x.
T((x / y) * K(z,x),x) = (y \ x) * K(z,x).
T((x / (y \ x)) * K(z,x),x) = T(y,x) * K(z,x).
T(x * K(y,z),z) = T(x,z) * K(y,z).
T(x,y) * K(z,y) = T(x * K(z,y),y).
T(x,y) * K(y,z) = T(x * K(z \ 1,y),y).
T(x * K(y \ 1,z),z) = T(x,z) * K(z,y).
T(T(x,K(y,z)),y) * K(z,y) = T(K(z,y) * x,y).
T(x * K(y,z),y) = T(x,y) * K(y,z).
T(x,y) * K(y,z) = T(x * K(y,z),y).
x * T(y * K(x,z),x) = (y * x) * K(x,z).
(x * K(y,z)) * y = (x * y) * K(y,z).
T(K(x,y) * z,y) / K(x,y) = T(T(z,K(y,x)),y).
T(T(x,y),K(y,z)) * K(z,y) = T(K(z,y) * x,y).
T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u.
K(x,y) * T(z,y) = T(K(x,y) * z,y).
K(x,y) * T(z,x) = T(K(y \ 1,x) * z,x).
T(K(x \ 1,y) * z,y) = K(y,x) * T(z,y).
x \ T(K(y,z) * (K(y,z) \ x),z) = K(z,x \ K(y,z)).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
K(x,y) * T(z,x) = T(K(x,y) * z,x).
K(x,y) * T(z,y \ x) = T(K(y \ x,y) * z,y \ x).
T(K(x \ y,x) * z,x \ y) = K(y,x) * T(z,x \ y).
T(K(x,y) * (K(x,y) \ z),x) * (z \ 1) = K(x,K(x,y) * (z \ 1)).
T(x,y) * (x \ 1) = K(y,K(y,z) * (x \ 1)).
K(x,K(x,y) * (z \ 1)) = T(z,x) * (z \ 1).
x != T(y,z) * (y \ 1) | K(y,z) = x.
K(x,y) = K(y,K(y,z) * (x \ 1)).
K(x,K(x,y) * (z \ 1)) = K(z,x).
K(x,K(y,z) * (u \ 1)) != w | K(u * K(z,y),x) = w.
K(x * K(y,z),z) = K(x,z).
x != K(y,z) | 1 / K(z,y) = x.
1 / K(x,y) = K(y * K(z,x),x).
K(x * K(y,z),z) = 1 / K(z,x).
K(x * K(y,z),y) = K(x,y).
K(x * T(y,z \ y),z) = K(x * y,z).
K(x * T(y,z \ 1),z) = K(x * y,z).
K(a(x,y,z) * T(u,z \ 1),z) != w | (z * (a(x,y,z) * T(u,z \ 1))) \ (a(x,y,z) * (z * u)) = w.
(x * (a(y,z,x) * T(u,x \ 1))) \ (a(y,z,x) * (x * u)) = K(a(y,z,x) * u,x).
x \ T(x,y) = K(y,x \ K(z,y)).
K(x,y \ K(z,x)) = y \ T(y,x).
x != y \ T(y,z) | K(y,z) = x.
K(x,y) = K(y,x \ K(z,y)).
K(x,y \ K(z,x)) = K(y,x).
T(K(x,y) * z,y) / K(x,y) = T((K(y,x) \ z) * K(y,x),y).
K(x,T(y,z)) = K(y \ x,T(x,z)).
K(x \ y,T(y,z)) = K(y,T(x,z)).
T(x,(x \ 1) * y) != z | T(x,y) = z.
T(x,y) = T(x,y * (x \ 1)).
T(x,y * (x \ 1)) = T(x,y).
T(x \ 1,y * x) = T(x \ 1,y).
T(x,y) * T(y * (x \ 1),x) = x * (y * (x \ 1)).
T(x \ (x / y),T(z,y)) = L(T(y \ 1,z),y,x).
T(x \ (x / y),T(y \ x,y)) != z | (x * y) \ T(x,y) = z.
(x * y) \ T(x,y) = L(T(y \ 1,y \ x),y,x).
L(T(x \ 1,x \ y),x,y) = (y * x) \ T(y,x).
L(T(x \ 1,x \ y),x,y) != z | y \ (x \ y) = z.
x \ (y \ x) = (x * y) \ T(x,y).
(x * y) \ T(x,y) = x \ (y \ x).
T(T(x,y) / (x * y),z) * (x * y) = (x * y) * T(x \ (y \ x),z).
(x * y) * T(x \ (y \ x),z) = T(x,y) * K(z,T(x,y) \ (x * y)).
T(x,y) * K(z,T(x,y) \ (x * y)) = (x * y) * T(x \ (y \ x),z).
T(x \ (x / y),z) * (x * y) = (x * y) * T(x \ (y \ x),z).
T(x \ (x / y),z) * (x * y) != u | T(x * K(z,y),x * y) = u.
T(x * K(y,z),x * z) = (x * z) * T(x \ (z \ x),y).
(x * y) * T(x \ (y \ x),z) = T(x * K(z,y),x * y).
(x * y) * T(x \ (y \ x),z) != u | T(x,y) * K(z,T(x,y) \ (x * y)) = u.
T(x,y) * K(z,T(x,y) \ (x * y)) = T(x * K(z,y),x * y).
T(x,y) * K(z,T(y,x)) = T(x * K(z,y),x * y).
T(x,y) * K(z,T(y,x)) != u | K(z,y) * T(x,y) = u.
K(x,y) * T(z,y) = T(z * K(x,y),z * y).
T(x * K(y,z),x * z) = K(y,z) * T(x,z).
x != K(y,z) * T(u,z) | T(K(y,z) * u,z) = x.
T(K(x,y) * z,y) = T(z * K(x,y),z * y).
T(x * K(y,z),x * z) = T(K(y,z) * x,z).
T(x * K(y,z),x * z) != u | T(x * K(y,z),L(T(z,y),K(y,z),x)) = u.
T(x * K(y,z),L(T(z,y),K(y,z),x)) = T(K(y,z) * x,z).
T(x,y) * ((x \ 1) * y) = x * (y * (x \ 1)).
(K(x,y) * z) * y = K(x,y) * (z * y).
L(x \ 1,y,K(x,z)) = x \ 1.
K(L(x,y,K(z,u)),u) = K(x,u).
(x * K(y,z)) * K(x,y) = T(x * K(y,z),y).
K(x * (y * K(z,u)),z) = K(x * y,z).
K(K(x,y) * z,x) = K(z,x).
(x * y) * K(x,z) != u | x * (y * K(x,z)) = u.
x * (K(y,z) * K(x,y)) = T(x * K(y,z),y).
T(K(x,y) * z,y \ x) = K(x,y) * T(z,y \ x).
K(x,y) * T(z,y \ x) = T(K(x,y) * z,y \ x).
K(x * y,y) * T(z,T(x,y)) = T(K(x * y,y) * z,y \ (x * y)).
T(K(x * y,y) * z,y \ (x * y)) = K(x * y,y) * T(z,T(x,y)).
T(K(x * y,y) * z,y \ (x * y)) = K(x,y) * T(z,T(x,y)).
T(K(x,y) * z,y \ (x * y)) = K(x,y) * T(z,T(x,y)).
T(K(x,y) * z,T(x,y)) = K(x,y) * T(z,T(x,y)).
K(x,y) * T(z,T(x,y)) = T(K(x,y) * z,T(x,y)).
x * (K(y,z) * K(x,y)) = T(x * K(y,z),L(y,K(y,z),x)).
T(x * K(y,z),L(y,K(y,z),x)) = x * (K(y,z) * K(x,y)).
x != y * (K(z,u) * K(y,z)) | T(y * K(z,u),z) = x.
T(x * K(y,z),y) = T(x * K(y,z),L(y,K(y,z),x)).
T(x * K(y,z),L(y,K(y,z),x)) = T(x * K(y,z),y).
(x \ y) * ((y / x) \ z) = (y / x) \ ((x \ y) * z).
(x / y) \ ((y \ x) * z) = (y \ x) * ((x / y) \ z).
((x \ y) * T((x \ y) \ (y / x),z)) * ((y / x) \ 1) = K(z,(y / x) \ ((x \ y) * 1)).
((x \ y) * T(K(x,y),z)) * ((y / x) \ 1) = K(z,(y / x) \ ((x \ y) * 1)).
((x \ y) * K(x,T(y,z))) * ((y / x) \ 1) = K(z,(y / x) \ ((x \ y) * 1)).
((x \ y) * K(x,T(y,z))) * ((y / x) \ 1) = K(z,(y / x) \ (x \ y)).
((x \ y) * K(x,T(y,z))) * ((y / x) \ 1) = K(z,K(y,x)).
x != K(y * K(z,u),u) | K(y,u) = x.
K(x,y) = K(K(z,y) * x,y).
K(K(x,y) * z,y) = K(z,y).
K(K(x,y \ 1) * z,y) = K(z,y).
T(K(x,y),z) = K(K(u,y) * x,T(y,z)).
K(K(x,y) * z,T(y,u)) = T(K(z,y),u).
x != T(K(y,z),u) | K(y,T(z,u)) = x.
K(x,T(y,z)) = K(K(u,y) * x,T(y,z)).
K(K(x,y) * z,T(y,u)) = K(z,T(y,u)).
T(x,y) / K(z,T(x,y)) = T(T(x,y),K(u,x) * z).
T(T(x,y),K(z,x) * u) = T(x,y) / K(u,T(x,y)).
K(x / y,T(x,z)) = K(y \ x,T(x,z)).
x != y / K(z,y) | T(y,z) = x.
T(T(x,y),z) = T(T(x,y),K(u,x) * z).
T(T(x,y),K(z,x) * u) = T(T(x,y),u).
T(x,K(y,x) * z) = T(x,z).
x != T(y,z) | L(T(y,z),u,K(w,y)) = x.
L(T(x,y),z,K(u,x)) = T(x,K(w,x) * y).
T(x,K(y,x) * z) = L(T(x,z),u,K(w,x)).
T(x,K(x,y) * z) = T(x,z).
x != T(y,z) | L(T(y,z),u,K(y,w)) = x.
L(T(x,y),z,K(x,u)) = T(x,K(x,w) * y).
T(x,K(x,y) * z) = L(T(x,z),u,K(x,w)).
x != T(y,L(K(z,y),u,w)) | y = x.
x = T(x,K(x,y) * L(K(z,x),u,w)).
T(x,K(x,y) * L(K(z,x),u,w)) = x.
T(x,y) != z | y \ (x * y) = z.
(K(x,y) * z) \ (x * (K(x,y) * z)) = L(T(x,z),u,K(x,w)).
L(T(x,y),z,K(x,u)) = (K(x,w) * y) \ (x * (K(x,w) * y)).
K(x,y) * (x * z) = x * (K(x,y) * z).
x * (y * K(z,x)) != u | (x * y) * K(z,x) = u.
(K(x,y) * x) * K(z,K(x,y)) = x * (K(x,y) * K(z,K(x,y))).
K(x,y) * (x * z) = x * (z * K(x,T(y,z))).
x * (y * K(x,T(z,y))) = K(x,z) * (x * y).
x * (y * K(x,z)) != u | (x * y) * K(x,z) = u.
(x * y) * K(x,T(z,y)) = K(x,z) * (x * y).
(x * y) * z != K(x,u) * (x * y) | K(T(x,y),u) = z.
K(T(x,y),z) = K(x,T(z,y)).
K(x,T(y,x * z)) = K(x,T(y,z)).
x != K(y,T(z,u)) | T(K(y,z),u) = x.
T(K(x,y),z) = K(T(x,z),y).
K(T(x,y),z / y) != u | K(T(x,y),z / (x \ y)) = u.
K(T(x,y),z / (x \ y)) = K(x,T(z / y,y)).
K(T(x,y),z) != u | K(z,T(x \ 1,y)) = u.
K(x,T(y \ 1,z)) = K(y,T(x,z)).
K(T(x / y,y \ 1),T(z,x)) != u | K((x / (x * y)) * x,z) = u.
K((x / (x * y)) * x,z) = K(x / y,T(T(z,x),y \ 1)).
K(x / y,T(T(z,x),y \ 1)) = K((x / (x * y)) * x,z).
K(x \ y,z) = K(y / x,T(z,x)).
K(x / y,T(z,y)) = K(y \ x,z).
K((x \ y) \ y,z) = K(x,T(z,y)).
K(x,y) = K(x,T(y,K(x,z))).
K(x,T(y,K(x,z))) = K(x,y).
(x \ y) * K(x,T(x \ y,z)) = T(x \ y,x \ (T(x,z) \ y)).
x * K(T(y,x),z) = K(y,z) * x.
K(x \ 1,y) = K(x \ 1,T(y,K(x,z))).
K(x \ 1,T(y,K(x,z))) = K(x \ 1,y).
K(x / (y \ z),T(y \ 1,z)) = K((y \ z) \ x,y \ 1).
K(x / y,T(T(z,x),y \ 1)) = K(x * ((x * y) \ x),z).
K(x / y,T(T(z,x),y \ 1)) = K(x / y,z).
K(x / (y \ z),T(y \ 1,z)) != u | K((y \ z) \ x,y \ 1) = u.
K((x \ y) \ z,x \ 1) = K(x,T(z / (x \ y),y)).
K(T(x,y),z / (x \ y)) = K(x,y \ z).
K(T(x,y),z) != u | K(x,T(z,y)) = u.
K(x,T(y / (x \ z),z)) = K(x,z \ y).
K(x,T(y / (x \ z),z)) != u | K((x \ z) \ y,x \ 1) = u.
K((x \ y) \ z,x \ 1) = K(x,y \ z).
K(x,y \ 1) != z | K(y,x) = z.
K(x,(x \ y) \ z) = K(x,y \ z).
K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u.
K(x,y \ (x * z)) = K(x,y \ z).
K(x,y \ z) = K(x,y \ (x \ z)).
K(x,y \ (x \ z)) = K(x,y \ z).
(K(x,y) * z) \ (y * (K(x,y) * z)) = L(T(y,z),u,K(w,y)).
L(T(x,y),z,K(u,x)) = (K(w,x) * y) \ (x * (K(w,x) * y)).
K(x,y) * (y * z) = y * (K(x,y) * z).
K(x,y) * (T(y,x) * z) = T(y,x) * (K(x,T(y,x)) * z).
T(x,y) * (K(y,T(x,y)) * z) = K(y,x) * (T(x,y) * z).
T(x,y) * K(z,K(x,y)) = x * (K(x,y) * K(z,K(x,y))).
x * (K(x,y) * K(z,K(x,y))) = T(x,y) * K(z,K(x,y)).
x * T(K(x,y),z \ 1) = T(x,y) * K(z,K(x,y)).
T(x,y) * K(z,K(x,y)) = x * T(K(x,y),z \ 1).
T(x,y) * K(z,K(x,y)) = x * K(x,T(y,z \ 1)).
T(x,T(y,z \ 1)) = T(x,y) * K(z,K(x,y)).
T(x,y) * K(z,K(x,y)) = T(x,T(y,z \ 1)).
x * K(y,K(T(x,z),z \ x)) = T(T(x,z),T(z \ x,y \ 1)).
T(T(x,y),T(y \ x,z \ 1)) = x * K(z,K(T(x,y),y \ x)).
x * K(y,K(T(x,z),z \ 1)) = T(T(x,z),T(z \ 1,y \ 1)).
T(T(x,y),T(y \ 1,z \ 1)) = x * K(z,K(T(x,y),y \ 1)).
T(T(x,y),T(y \ 1,z \ 1)) = x * K(z,K(y,T(x,y))).
T(T(x,y),T(y \ 1,z \ 1)) = x * K(z,K(y,x)).
T(T(x,y),T(y \ x,z \ 1)) = x * K(z,K(x,T(y \ x,y))).
T(T(x,y),T(y \ x,z \ 1)) = x * K(z,K(y,T(x,y))).
T(T(x,y),T(y \ x,z \ 1)) = x * K(z,K(y,x)).
T(x * K(y \ z,T(z,y)),L(z,K(y \ z,T(z,y)),x)) = T(K(y \ z,T(z,y)) * x,T(z,y)).
T(x * K(y,T(z,z)),L(y,K(z \ y,T(y,z)),x)) = T(K(z \ y,T(y,z)) * x,T(y,z)).
T(x * K(y,z),L(y,K(z \ y,T(y,z)),x)) = T(K(z \ y,T(y,z)) * x,T(y,z)).
T(x * K(y,z),L(y,K(y,T(z,z)),x)) = T(K(z \ y,T(y,z)) * x,T(y,z)).
T(x * K(y,z),L(y,K(y,z),x)) = T(K(z \ y,T(y,z)) * x,T(y,z)).
T(K(x \ y,T(y,x)) * z,T(y,x)) = T(z * K(y,x),L(y,K(y,x),z)).
x != T(y * K(z,u),L(z,K(z,u),y)) | T(y * K(z,u),z) = x.
T(x * K(y,z),y) = T(K(z \ y,T(y,z)) * x,T(y,z)).
T(K(x \ y,T(y,x)) * z,T(y,x)) = T(z * K(y,x),y).
T(K(x,T(y,y)) * z,T(x,y)) = T(z * K(x,y),x).
T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x).
T(K(x,y) * z,T(x,y)) != u | K(x,y) * T(z,T(x,y)) = u.
K(x,y) * T(z,T(x,y)) = T(z * K(x,y),x).
x != T((K(y,z) \ u) * K(y,z),y) | T(K(z,y) * u,y) / K(z,y) = x.
T(K(x,y) * z,y) / K(x,y) = K(y,x) * T(K(y,x) \ z,T(y,x)).
K(x,y) * T(K(x,y) \ z,T(x,y)) = T(K(y,x) * z,x) / K(y,x).
K(x,y) * T(K(x,y) \ z,u) != w | K(y,x) \ T(K(y,x) * z,u) = w.
K(x,y) \ T(K(x,y) * z,T(y,x)) = T(K(x,y) * z,y) / K(x,y).
T(x,T(y,z)) = T(K(z,y) * (x / K(z,y)),y).
T(K(x,y) * (z / K(x,y)),y) = T(z,T(y,x)).
T(T(x,K(y,z) \ 1),z) = T(x,T(z,y)).
T(T(x,K(y,z)),y) = T(x,T(y,z)).
T(T(x,y),T(y \ x,z)) = T(x,K(y \ x,z)).
T(T(x,y),K(y,z)) = T(x,T(y,z)).
T(T(T(x,y),z),y \ 1) != u | T(x,z) = u.
T(x,K(y \ 1,z)) = T(T(x,y),T(y \ 1,z)).
T(T(x,y),T(y \ 1,z)) = T(x,K(y \ 1,z)).
T(x \ 1,x) = T(x \ 1,T(x,y)).
T(x \ 1,T(x,y)) = T(x \ 1,x).
T(T(x,y),T(y \ x,z \ 1)) != u | x * K(z,K(y,x)) = u.
x * K(y,K(z,x)) = T(x,K(z \ x,y \ 1)).
T(x,K(y \ x,z \ 1)) = x * K(z,K(y,x)).
T(x,K(y,z \ x)) = x * K(y,K(z,x)).
x * K(y,K(z,x)) = T(x,K(y,z \ x)).
T(T(x,y),T(y \ 1,z)) = T(x,K(z,y)).
T(T(x,y),T(y \ 1,z \ 1)) != u | x * K(z,K(y,x)) = u.
x * K(y,K(z,x)) = T(x,K(y \ 1,z)).
T(x,K(y \ 1,z)) = x * K(y,K(z,x)).
T(x \ y,T(x \ 1,z)) = T(y / x,K(z,x)).
T(x,K(y,z)) = x * K(z,K(y,x)).
x * K(y,K(z,x)) = T(x,K(z,y)).
x * K(y,K(z,x)) != u | T(x,K(y,z \ x)) = u.
T(x,K(y,z \ x)) = T(x,K(z,y)).
x * y != T(x,z) | K(x,z) = y.
K(x,K(y,z)) = K(z,K(y,x)).
T(x,K(y,z \ x)) != u | (x / K(x / z,y)) * K(z \ x,y) = u.
(x / K(x / y,z)) * K(y \ x,z) = T(x,K(y,z)).
x != K(y,K(z,u)) | K(K(u,z),y) = x.
K(K(x,y),z) = K(x,K(y,z)).
K(x,K(y,z)) = K(y,K(z,x \ K(y,z))).
K(x,K(y,z \ K(x,y))) = K(z,K(x,y)).
K(x,K(y,z)) = K(y,K(x,z)).
x != K(y,K(z,u)) | K(K(y,z),u) = x.
K(K(x,y),z) = K(y,K(x,z)).
x != K(y,K(z,u)) | K(u,K(z,y)) = x.
K(x,K(y,z)) = K(y,K(z,x)).
K(x,K(y,z)) = K(z,K(x,y)).
K(x,K(y,z)) = K(y / z,K(x,z)).
K(x / y,K(z,y)) = K(z,K(x,y)).
K(x,K(y,z)) * y = T(y,K(x,z)).
R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)).
x != K(y,K(z,u)) | K(z,K(y,u)) = x.
K(x,K(y,z)) = K(x,K(z,y)).
K(x,K(y,z)) = K(z,K(x,z \ y)).
K(x,K(y,x \ z)) = K(y,K(z,x)).
K(x,K(y,z)) = K(z,K(x,x \ y)).
K(x,K(y,y \ z)) = K(y,K(z,x)).
K(x,y) * K(y,K(x,z)) = K(x,T(y,z)).
x * K(x,K(y,z)) = T(x,K(z,y)).
T(x,K(y,z)) = T(x,K(z,y)).
x != T(y,K(z,u)) | T(y,K(u,z \ y)) = x.
T(x,K(y,z \ x)) = T(x,K(y,z)).
x != T(y * K(z,u),K(u,z)) | K(z,u) * y = x.
K(x,y) * z = T(z * K(x,y),K(x,y)).
T(x * K(y,z),K(y,z)) = K(y,z) * x.
K(x,y) * T(z,K(y,x)) = z * K(x,y).
T(T(x,K(y,z)),z) = T(x,T(z,y)).
T(x,K(y,z)) = K(y,z) * (x / K(y,z)).
K(x,y) * (z / K(x,y)) = T(z,K(x,y)).
K(x,y) * K(K(y,x),z) = K(x,T(y,z)).
K(x,y) * K(K(y,x),z) != u | K(x,T(y,z \ 1)) = u.
K(x,T(y,z \ 1)) = K(x,T(y,z)).
K(x / y,T(T(z,x),y \ 1)) != u | K(x / y,z) = u.
K(x / y,z) = K(x / y,T(T(z,x),y)).
K(x / y,T(T(z,x),y)) = K(x / y,z).
K(x,y / z) = K(x,T(z \ y,z)).
K(x,T(y \ z,y)) = K(x,z / y).
K(x,y * (z / y)) = K(x,T(z,y)).
K(x,y / z) = K(x,T(z \ y,y)).
K(x,T(y \ z,z)) = K(x,z / y).
K(x,y) = K(x,T(T(y,z),z)).
K(x,T(T(y,z),z)) = K(x,y).
K(x,T(y,z)) != u | K(T(x,z),y) = u.
K(T(x,y),y \ z) = K(x,z / y).
K(x,T(y,z)) != u | T(K(x,y),z) = u.
T(K(x,y \ z),y) = K(x,z / y).
x * K(y,z / x) = K(y,x \ z) * x.
K(x,y \ z) * y = y * K(x,z / y).
x / K(y,z / x) = K(y,x \ z) \ x.
K(x / y,T(z,y)) != u | K(y \ x,z) = u.
K(x \ y,T(z,y)) = K(y / x,z).
T(K(x \ y,z),y) = K(y / x,z).
K((x / y) \ x,z) != u | K(y,z) = u.
K(x,T(y,z)) = K(z / (z / x),y).
K(x / (x / y),z) = K(y,T(z,x)).
T(T(x,y),K(z,y)) = T(x,T(y,z)).
T(x * K(y,x),z) = T(x * K(y,x),T(z,x)).
T(x * K(y,x),T(z,x)) = T(x * K(y,x),z).
x * T(x \ 1,x) = K(x \ 1,T(x,y)).
K(x \ 1,T(x,y)) = x * T(x \ 1,x).
x != y * T(z,y) | z * y = x.
(x \ 1) * x = K(x \ 1,T(x,y)).
K(x \ 1,T(x,y)) = (x \ 1) * x.
x != (y \ 1) * y | K(z \ 1,z) = x.
K(x \ 1,x) = K(y \ 1,T(y,z)).
K(x \ 1,T(x,y)) = K(z \ 1,z).
x * K(y \ 1,y) = K(z \ 1,z) * x.
K(x \ 1,x) * y = y * K(z \ 1,z).
x != K(y,T(z,u)) | K(y,T(z,u \ 1)) = x.
K(x,T(y,z \ 1)) = K(x,z * (y / z)).
K(x,y) != z | T(x,y) * (x \ 1) = z.
T(x / y,K(z,y)) * ((x / y) \ 1) = K(z,K(x,y)).
x * ((y / z) \ 1) != K(u,K(y,z)) | (z \ y) * K(z,T(y,u)) = x.
(x \ y) * K(x,T(y,z)) = T(y / x,K(z,x)).
x != T(y / z,K(u,z)) | T(z \ y,T(z \ 1,u)) = x.
T(x \ y,T(x \ 1,z)) = (x \ y) * K(x,T(y,z)).
T(x \ y,T(x \ 1,z)) != u | T(x \ y,x \ (T(x,z) \ y)) = u.
T(x \ y,x \ (T(x,z) \ y)) = (x \ y) * K(x,T(y,z)).
(x \ y) * z != T(x \ y,x \ (T(x,u) \ y)) | K(x,T(x \ y,u)) = z.
K(x,T(x \ y,z)) = K(x,T(y,z)).
K(x,T(y,z)) = K(x,T(x * y,z)).
K(x,T(x * y,z)) = K(x,T(y,z)).
K(x,T(y,z \ 1)) != u | K(x,z * (y / z)) = u.
K(x,y * ((x * z) / y)) = K(x,T(z,y \ 1)).
K(x,y * ((x * z) / y)) != u | K(z,y / (y * x)) = u.
K(x,y / (y * z)) = K(z,T(x,y \ 1)).
K(x,T(y,z \ 1)) = K(y,z / (z * x)).
K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u.
K(x,T(y,z)) = K(y,z / (z * x)).
K(x,y / (y * z)) = K(z,T(x,y)).
K(x,y / z) = K(y \ z,T(x,z)).
K(x \ y,T(z,y)) = K(z,x / y).
K(x \ y,T(z,y)) != u | K(y / x,z) = u.
K(x / y,z) = K(z,y / x).
x != K(y,z / u) | (z * T(z \ u,y)) / u = x.
(x * T(x \ y,z)) / y = K(y / x,z).
K((x / y) \ 1,z) = K(y / x,z).
x != K(y,z / (z * u)) | K(u,T(y,z)) = x.
K(x,T(y,z)) = K((z * x) / z,y).
K((x * y) / x,z) = K(y,T(z,x)).
K(x,y) != z | K(y,x \ 1) = z.
K(x,(y / z) \ 1) = K(x,z / y).
K((x \ 1) / y,z) != u | K(z,(y \ 1) \ x) = u.
K(x,(y \ 1) \ z) = K(x,y / (z \ 1)).
K(x,y / (z \ 1)) = K(x,(y \ 1) \ z).
K(x,y) = K(y,z / (x * z)).
K(x,y / (z * y)) = K(z,x).
(x / K(y,z / x)) * K(z \ x,y) = T(x,K(z,y)).
(K(x,y \ z) \ y) * K(z \ y,x) = T(y,K(z,x)).
T(x,K(y,(z \ 1) \ x)) = T(x,K(y,z * x)).
T(x,K(y,z \ x)) != u | T(x,K(y,z)) = u.
T(x,K(y,z \ 1)) = T(x,K(y,z * x)).
T(x,K(y,z)) = T(x,K(z,y * x)).
T(x,K(y,z * x)) = T(x,K(z,y)).
x != T(y,K(z,u)) | T(y,K(u,z)) = x.
T(x,K(y,z)) = T(x,K(y,z * x)).
T(x,K(y,z * x)) = T(x,K(y,z)).
T(x,K(y,z)) = T(x,K(y,z / x)).
T(x,K(y,z / x)) = T(x,K(y,z)).
T(x,K(y,z)) = T(x,K(z,y / x)).
T(x,K(y,z / x)) = T(x,K(z,y)).
T(x,K(y,z / x)) != u | T(x,K(y,x \ z)) = u.
T(x,K(y,x \ z)) = T(x,K(z,y)).
(K(x,y \ z) \ y) * K(x,y \ z) = T(y,K(z,x)).
(K(x,y \ z) \ y) * u != T(y,K(z,x)) | K(z \ y,x) = u.
K(x \ y,z) = K(z,y \ x).
K((x \ y) \ 1,z) = K(y \ x,z).
K(x,(y \ z) \ 1) = K(x,z \ y).
K(x \ 1,y \ z) = K(x,z \ y).
K(x,y) = K(y,z \ (z / x)).
K(x,y \ (y / z)) = K(z,x).
K(L(x,y,z),u) = K(u,(z * (y * x)) \ (z * y)).
K(x,(y * (z * u)) \ (y * z)) = K(L(u,z,y),x).
K(x \ (x / y),z) = K(z,y).
x * T(x \ y,z) = y * K(x \ y,z).
x \ T(x * y,z) = y * K((x \ 1) \ y,z).
T(x,(y \ z) \ 1) = x * K(x,z \ y).
K(x \ (x / y),z) != u | K(z,L(y,y,x)) = u.
K(x,L(y,y,z)) = K(x,y).
K(L(x \ 1,x,y),z) = K(z,x).
(x * y) * K(z,y) = x * (y * K(z,y)).
(x * y) * K(z,y) = x * T(y,z \ y).
L(K(x,y),y,z) = K(x,y).
a(x,y,K(z,y)) = 1.
a(x,y,K(y,z)) = 1.
a(x,y,K(z,y * z)) = 1.
L(K(x,y),x,z) = K(x,y).
x != K(L(y,z,u),w) | K(y,L(w,z,u)) = x.
K(x,L(y,z,u)) = K(y,(u * (z * x)) \ (u * z)).
K(x,(y * (z * u)) \ (y * z)) = K(u,L(x,z,y)).
K(x,(y * (z * u)) \ (y * z)) != w | (y * (z * u)) \ (y * (z * T(u,x))) = w.
(x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u).
K(x,y \ ((y / (z * u)) * z)) = K(u,L(x,z,y / z)).
K(x,((y * z) \ y) \ 1) = K(x,z).
K(x,a(y,z,u) \ 1) = K(x,((y * z) * u) \ (y * (z * u))).
K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1).
x != y * K(z \ y,u) | K(y / z,u) * y = x.
K(x / y,z) * x = y * T(y \ x,z).
(x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u.
x \ T(y,z) = (x \ y) * K((x \ 1) \ (x \ y),z).
(x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z).
x \ (y * (z * T(z \ (y \ x),u))) = L(K(z \ (y \ x),u),y \ x,y).
L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))).
x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u.
(x * y) \ ((z * T(z \ x,x)) * y) = R(T(K(z \ x,x),x * y),x,y).
R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z).
K(x,y) * z = (x \ z) * T((x \ z) \ z,y).
(x \ y) * T((x \ y) \ y,z) = K(x,z) * y.
T(x,y) * (x \ z) = K(x,y) * z.
T(x,y) * z = K(x,y) * (x * z).
K(x,y) * (x * z) = T(x,y) * z.
T(x,y) * T(z,x) = K(x,y) * (z * x).
x * (K(x,y) * z) = T(x,y) * z.
(x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y).
T(x,y) * K(x,z) = K(x,y) * T(x,z).
(T(x,y) * z) / (x * z) = K(x,y).
K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w).
T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x).
((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w.
K(x,y) * (y * z) = T(y,x \ 1) * z.
T(x,y \ 1) * z = K(y,x) * (x * z).
K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u.
x * (K(y,x) * z) = T(x,y \ x) * z.
T(x,y \ x) * z = x * (K(y,x) * z).
x * T(y * K(x,y),z) = T(x,T(y,z)) * T(y,z).
T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z).
(x * K(y,x)) * z = x * (K(y,x) * z).
(x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,T(y,x \ 1)).
(x * y) \ (y * (T(x,y) * z)) = L(z,x,T(y,x \ 1)).
L(x,T(y,z),z) = L(x,y,T(z,y \ 1)).
(x / y) * z = K(y,y \ x) * ((y \ x) * z).
K(x,x \ y) * ((x \ y) * z) = (y / x) * z.
(x * K(y,x)) * z = K(y,x) * (x * z).
(K(x,y) * y) * z = K(x,y) * (y * z).
((x * y) / x) * z = K(x,y) * (y * z).
K(x,y) * (y * z) = ((x * y) / x) * z.
R(K(x,y),y,z) = K(x,y).
L(x,y,K(z,y)) = x.
L(x,y,K(z,y)) != u | x = u.
T(x,y) * (K(y,x) * z) = K(y,x) * (T(x,y) * z).
(x * y) * (K(T(y,x),y * x) * z) = K(T(y,x),y * x) * (T(y * x,T(y,x)) * z).
K(T(x,y),x * y) * (T(x * y,T(x,y)) * z) = (y * x) * (K(T(x,y),x * y) * z).
K(T(x,y),x * y) * (T(x * y,T(x,y)) * z) = (y * x) * (K(x,T(x * y,y)) * z).
K(T(x,y),x * y) * (T(x * y,T(x,y)) * z) = (y * x) * (K(x,T(y,y)) * z).
K(T(x,y),x * y) * (T(x * y,T(x,y)) * z) = (y * x) * (K(x,y) * z).
K(x,T(x * y,y)) * (T(x * y,T(x,y)) * z) = (y * x) * (K(x,y) * z).
K(x,T(y,y)) * (T(x * y,T(x,y)) * z) = (y * x) * (K(x,y) * z).
K(x,y) * (T(x * y,T(x,y)) * z) = (y * x) * (K(x,y) * z).
K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z).
(x * y) * (K(y,x) * z) = K(y,x) * ((x * y) * z).
(x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x).
(x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),K(x,y),y * x).
(x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),K(x,y),y * x).
(x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),K(x,y),y * x).
L(L(x,y,z),K(y,z),z * y) = (y * z) \ (z * (T(y,z) * x)).
L(L(x,y,z),K(y,z),z * y) != u | L(x,T(y,z),z) = u.
K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u.
T(x \ 1,y) * T(T(x \ 1,y) \ K(y,x),z) = T(x,y) \ T(x,z).
T(x \ 1,y) * T(T(x \ 1,y) \ K(y,x),z) = K(y,x) * K(z,x \ 1).
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 \ 1)) = T(x,T(y,z)).
K(x,K(y,x \ z)) = K(x,K(y,z / x)).
K(x,K(y,z / x)) = K(x,K(y,x \ z)).
T(x,y / z) * K(z,K(x,z \ y)) = T(x,T(y / z,z \ 1)).
T(x,y / z) * K(x,K(y,z)) = T(x,T(y / z,z \ 1)).
T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u.
K(x,y / z) * T(x,K(y,z)) = T(x,T(y / z,z \ 1)).
x != T(y,T(z,u \ 1)) | T(y,T(z,u)) = x.
T(x,T(y / z,z)) = K(x,y / z) * T(x,K(y,z)).
K(x,y / z) * T(x,K(y,z)) = T(x,T(y / z,z)).
K(x,y / z) * T(x,K(y,z)) = T(x,z \ y).
T(x,y \ z) / T(x,K(z,y)) = K(x,z / y).
T(x \ 1,y) \ L(K(z,x),T(x,y),T(x \ 1,y)) = K(z,x) * T(x,y).
T(x \ 1,y) \ K(z,L(x,T(x,y),T(x \ 1,y))) = K(z,x) * T(x,y).
T(x \ 1,y) \ K(z,x) = K(z,x) * T(x,y).
T(x \ 1,y) * T(K(y,x) * T(x,y),z) = T(x,y) \ T(x,z).
T(x \ 1,y) * T(K(y,x) * T(x,y),z) = K(y,x) * K(z,x \ 1).
T(x \ 1,y) * T(x,z) = T(x,y) \ T(x,z).
T(x \ 1,y) * T(x,z) = K(y,x) * K(z,x \ 1).
T(x \ 1,y) * T(x,z) = K(y,x) * K(x,z).
T(x \ 1,y) * T(x,z) != u | T(x,y) \ T(x,z) = u.
T(x,y) \ T(x,z) = K(y,x) * K(x,z).
T(x,y) \ T(x,z) != u | T(x,z) / T(x,y) = u.
T(x,y) / T(x,z) = K(z,x) * K(x,y).
T(x,y \ z) / T(x,K(z,y)) != u | K(x,z / y) = u.
K(x,y / z) = K(K(y,z),x) * K(x,z \ y).
K(K(x,y),z) * K(z,y \ x) = K(z,x / y).
K(x,K(y,z)) * K(x,y \ z) = K(x,z / y).
K(x,K(y,z)) * K(z,y \ x) = K(z,x / y).
K(x,K(L(y \ 1,y,z),z)) * K(x,L(y \ 1,y,z) \ z) = K(x,z * y).
K(x,K(y,z)) * K(x,z \ y) = K(x,y / z).
K(x,K(y,z)) * K(x,L(z \ 1,z,y) \ y) = K(x,y * z).
K(x,K(y,z)) * K(x,L(y \ 1,y,z) \ z) = K(x,z * y).
K(x,K(y,z)) * K(x,y * z) = K(x,z * y).
K(x,K(y,z)) * K(y,x * z) = K(y,z * x).
K(x,K(y,z \ u)) * K(x,(u \ z) * y) = K(x,y * (u \ z)).
K(x * y,K(z \ y,u)) * K(u,(z \ y) \ (x * y)) = K(u,y / (z \ (x \ y))).
K(x * y,K(z,y \ u)) * K(z,(u \ y) \ (x * y)) = K(z,y / (u \ (x \ y))).
K(x,K(y \ z,u * y)) * K(x,(z \ y) \ (u * y)) = K(x,y / (z \ (u \ y))).
K(x \ (y * z),y) = K((y \ x) \ z,y).
K((x \ y) \ z,x) = K(y \ (x * z),x).
K(x * y,y) = K(x / (y \ 1),y).
K(x / (y \ 1),y) = K(x * y,y).
L(K(x,y * x),y,z) = K(x,y * x).
x != K(y,z) | K(z,y) \ 1 = x.
K(x,y) \ 1 = L(K(y,x),y,z).
L(K(x,y),x,z) = K(y,x) \ 1.
K(x,L(y,x,z)) = K(x,y).
K(x,(y * x) \ z) = K(x,x \ (y \ z)).
x * K(y,z) = (x / y) * T(y,z).
(x / y) * T(y,z) = x * K(y,z).
(x / (y \ x)) * z != u | y * z = u.
(x * (y \ x)) * z != x | T(y / x,x * (y \ x)) = z.
T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w.
T(x,y) = T(x,L(y,x,z)).
T(x,L(y,x,z)) = T(x,y).
(x * K(y,z)) / T(y,z) = x / y.
x * T(y,z) = (x * y) * K(y,z).
(x * y) * K(y,z) = x * T(y,z).
(x * y) * K(y,z) != u | (x * K(y,z)) * y = u.
(x * K(y,z)) * y = x * T(y,z).
(x * y) * K(z,z \ 1) = x * T(y,y \ 1).
(x * (y * z)) \ (x * (y * T(z,u))) != w | L(K(z,u),y * z,x) = w.
(x * (y \ 1)) * K(z,y) = x * T(y \ 1,z).
(x * (y * z)) \ ((x * (y * z)) / K(z,L(u,y * z,x))) = (x * (y * T(z,u))) \ (x * (y * z)).
(x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1).
(x * y) * K(z,1 / z) = x * ((y \ 1) \ 1).
x * K(y,1 / y) = (x \ 1) \ 1.
(x * y) * K(z,1 / z) = x * (y * K(u,1 / u)).
x * (y * K(z,1 / z)) != u * K(w,1 / w) | x * y = u.
x * K(y,1 / y) != z * (u * K(w,1 / w)) | z * u = x.
L(x,y,z) * T(y,x) = y * L(x,y,z).
T(x,(y * x) \ z) = T(x,x \ (y \ z)).
T(x * y,x) != x * z | y * K(x * y,x) = z.
K(x,y \ z) != u | K(z \ y,x) = u.
K(x,L(y \ x,z,u)) != w | K(y,L(x,z,u)) = w.
L(K(x,y),z,K(x,u)) = K(x,y).
R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))).
R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5.
K(x,K(y,R(z,u,w))) = K(x,R(K(z,y),u,w)).
K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))).
x != T(y,y \ z) | T(y,z) = x.
T(x,y \ z) = T(x,(y * x) \ z).
T(x,(y * x) \ z) = T(x,y \ z).
T(x \ y,y \ z) = T(x \ y,x \ z).
x != T(y,z \ z) | y = x.
x \ y = T(x \ y,y \ x).
T(x \ y,y \ x) = x \ y.
T(x \ (x / y),y) = x \ (x / y).
(x \ y) * K(z,y \ x) = K(z,y \ x) * (x \ y).
K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z).
x * (y \ (y / x)) = (y \ (y / x)) * x.
(x \ (x / y)) * y = y * (x \ (x / y)).
(x \ (x / y)) * y != z | L(x * y,y,x) \ (x * y) = z.
L(x * y,y,x) \ (x * y) = y * (x \ (x / y)).
K(x,(y * x) \ z) != u | K(x,y \ z) = u.
K(x,y \ (x \ z)) = K(x,(y * x) \ z).
K(x,(y * x) \ z) = K(x,y \ (x \ z)).
x * K(y * x,y) = y \ T(y * x,y).
x \ T(x * y,x) = y * K(x * y,x).
K((x \ y) \ (x \ z),x) = K(y \ z,x).
K((x \ 1) \ y,x) = K(x * y,x).
T(K(x,y),z) = L(T(K(x,y),z),u,K(x,w)).
L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z).
(x \ 1) * (y * K(z,x)) = ((x \ 1) * y) * K(z,x).
((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)).
L(K(x,y),z,y \ 1) = K(x,y).
L(K(x,y),z,u) != w | K(L(x,z,u),y) = w.
K(L(x,y,z \ 1),z) = K(x,z).
K(x * (y * K(z,u)),u) = K(x * y,u).
K(x * (K(y,z) * u),y) = K(x * u,y).
K(T(x,y) * z,x) = K(x * z,x).
K(x,y * K(z,x)) = K(x,y).
K(x * K(y,z),z) != u | K(x,z) = u.
K(x / y,x) != z | K(y \ x,x) = z.
K(x,y * K(x,z)) = K(x,y).
K(x,y * T(z,x)) = K(x,y * z).
x != K(y,z) | L(K(y,z),u,y) = x.
L(K(x,y),z,x) = K(x,y * K(x,u)).
x != K(y,z) | y \ T(y,z) = x.
x \ T(x,y) = K(x,y * K(x,z)).
K(x,y * K(x,z)) = x \ T(x,y).
K(x,K(x,y) * z) = K(x,z).
K(x,y * K(x,z)) != u | K(x,y) = u.
K(x,K(x,y) * z) != u | K(x,z) = u.
L(K(x,y),z,x) != u | K(x,y) = u.
K(x * K(y,x),z) = K(x,T(z,y)).
K(x / y,z) = K(y \ x,T(z,y)).
K(x \ y,T(z,x)) = K(y / x,z).
K(x,y) = K(T(x,z),T(y,z)).
K(T(x,y),T(z,y)) = K(x,z).
K(x * K(y,x),z) = K(x,T(z,L(y,u,x))).
K(x,T(y,L(z,u,x))) = K(x * K(z,x),y).
x != K(y * K(z,y),u) | K(y,T(u,z)) = x.
K(x,T(y,z)) = K(x,T(y,L(z,u,x))).
K(x,T(y,L(z,u,x))) = K(x,T(y,z)).
K(T(x,y),z) = K(x,(y * z) / y).
K(x,(y * z) / y) = K(T(x,y),z).
K(x,y * K(z,y)) = K(T(x,z),y).
((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z).
K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)).
K(x,y) * T(x,z) = T(T(x,z),T(y,z)).
T(T(x,y),T(z,y)) = K(x,z) * T(x,y).
K(x,y) * T(y,z) = T(y * K(T(x,z),y),z).
T(x * K(T(y,z),x),z) = K(y,x) * T(x,z).
x * K(y,z) = K(T(y,x),z) * x.
K(T(x,y),z) * y = y * K(x,z).
T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u).
K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))).
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,x) * T(y,z)) = T(y,T(z,x)) * x.
x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x.
x * T(y,T(x,z)) = T(y * K(z,y),T(z,x)) * x.
T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)).
x * y != y * T(z,u) | T(z * K(y,z),u) = x.
T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)).
T(K(x,T(y,z)),z) = K(x,y).
x * K(y,z) = K(y,T(z,x)) * x.
K(x,T(y,z)) * z = z * K(x,y).
(x * K(y,z)) / x = K(y,T(z,x)).
K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y).
L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u).
x != K(y,K(z,u)) | K(u,K(y,z)) = x.
K(x,K(y,z)) = K(x,K(y,y \ z)).
K(x,K(y,y \ z)) = K(x,K(y,z)).
K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z.
x * y != K(z,x) * (u * x) | T(K(z,x) * u,x) = y.
K(x,y) * (z * y) != y * u | T(K(x,y) * z,y) = u.
x != K(y * z,y) | K(z,y) = x.
K(x,y) = K(T(y,z) * x,y).
K(T(x,y) * z,x) = K(z,x).
(T(x,y) * z) * K(x * z,x) != u | T(T(x,y) * z,x) = u.
T(T(x,y) * z,x) = T(x,y) * (z * K(x * z,x)).
T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x).
K(x,y) = K(T(y,z) \ x,y).
K(T(x,y) \ z,x) = K(z,x).
K(x \ y,z) != u | K(z,y \ x) = u.
K(x,y \ T(x,z)) = K(y,x).
x != K(y,z) | K(z,y \ z) = x.
K(x,y \ x) = K(x,y \ T(x,z)).
K(x,y \ T(x,z)) = K(x,y \ x).
K(x / y,z \ (y \ x)) = K(x / y,z \ (x / y)).
K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)).
K(x,y) = K(K(y,z) \ x,y).
K(K(x,y) \ z,x) = K(z,x).
x * K(x,K(y,z)) = T(x,K(y,y \ z)).
T(x,K(y,y \ z)) = x * K(x,K(y,z)).
T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u.
T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u.
T(x,K(y,z)) = T(x,K(z \ y,y)).
T(x,K(y \ z,z)) = T(x,K(z,y)).
L(x,y,K(y,z)) != u | x = u.
K(x,y) * (y * z) != u | y * (K(x,y) * z) = u.
(x \ y) * (K(x,x \ y) * z) = (y / x) * z.
K(x,y) * z = ((x * y) / x) * (y \ z).
((x * y) / x) * (y \ z) = K(x,y) * z.
((x * y) / x) \ 1 = y \ K(y,x).
x \ 1 != (1 / y) \ K(z,u) | K(u,z) / y = x.
K(x,1 / y) / y = (x * (1 / y)) / x.
K(x,R(K(x,y),z,u) * w) = K(x,w).
K(x,(K(x,y) * z) * u) = K(x,z * u).
R(x,K(y,x),z) = x.
L(x,K(y,z),z) = x.
a(x,K(y,x),z) = 1.
x != L(y,K(z,u),u) | x = y.
L(x,K(y,z),z) != u | u = x.
L(x,K(y,z),z * y) = x.
L(x,T(y,z),z) = L(x,y,z).
L(x,T(y,z),z) != u | L(x,y,T(z,y \ 1)) = u.
L(x,y,T(z,y \ 1)) = L(x,y,z).
L(x,y,z / y) = L(x,y,y \ z).
K(x,y \ ((y / (z * u)) * z)) = K(u,L(x,z,z \ y)).
a(x,a(y,z,y),u) = 1.
R(x,K(x,y),z) = x.
L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w.
(L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w).
R(K(x,y),K(y,z),u) = K(x,y).
K(x,y) * (K(y,z) * u) = (K(x,y) * K(y,z)) * u.
(K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u).
L(x,K(y,z),K(u,y)) = x.
L(x,K(y,z),K(y,u)) = x.
K(x,y) \ z = K(y,x) * z.
K(x,y) * (K(y,x) * z) = z.
x / (K(y,z) * x) = K(z,y).
K(x,R(y,z,z \ u)) \ u != w | z * ((K(x,y) * z) \ u) = w.
x * ((K(y,z) * x) \ u) = K(R(z,x,x \ u),y) * u.
K(R(x,y,y \ z),u) * z = y * ((K(u,x) * y) \ z).
x * y != z \ y | (y * z) \ y = x.
(x * K(y,z)) \ x = K(z,y).
x * y != z \ y | y \ (y / z) = x.
x \ (x / K(y,z)) = K(z,y).
x \ (K(y,z) \ x) = T(K(z,y),x).
K(x,y) * z != u \ z | K(y,x) = u.
x \ y != K(z,u) * y | K(u,z) = x.
L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u.
(K(x,y) * z) \ z = T(K(y,x),z).
K(x,y) * (K(y,x) * z) != u | z = u.
K(x,y) * z != u | K(y,x) * u = z.
x = K(y,z) * (x * K(z,T(y,x))).
K(x,y) * (z * K(y,T(x,z))) = z.
K(T(x,y),z) * u != y * K(x,z) | y = u.
x = K(y,T(z,x)) * (x * K(z,y)).
K(x,T(y,z)) * (z * K(y,x)) = z.
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 != u * K(x,y) | T(u,K(y,x)) = z.
T(x,K(y,z)) = K(y,z) * (x * K(z,y)).
K(x,y) * (z * K(y,x)) = T(z,K(x,y)).
K(x,y) \ z != u | K(y,x) * z = u.
K(x,y) * z = y * (T(y,x) \ z).
x * (T(x,y) \ z) = K(y,x) * z.
K(T(x,y),x * y) * (T(x * y,T(x,y)) * z) != u | (y * x) * (K(x,y) * z) = u.
(x * y) * (K(y,x) * z) = (y * x) * z.
T(x,y) \ z = K(y,x) * (x \ z).
K(x,y) * (y \ z) = T(y,x) \ z.
x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u.
T(x,y) \ (x * z) = K(y,x) * z.
T(K(x,y) * z,y) = T(y,x) \ (z * y).
T(x,y) \ (z * x) = T(K(y,x) * z,x).
K(x,y) * (T(y,x) * z) != u | y * z = u.
x != T(K(y,z) * u,z) | T(u * K(y,z),u * z) = x.
T(x * K(y,z),x * z) = T(z,y) \ (x * z).
(x * y) / T(y,z) = x * K(z,y).
T(x,y) / (T(x,y) * K(z,x)) = K(x,z).
((x / y) * y) / z != u | x / z = u.
x / T(y,z) = (x / y) * K(z,y).
(x / y) * K(z,y) = x / T(y,z).
K(x,x \ 1) * (y * K(z \ 1,z)) = y.
K(x,x \ 1) * (y * z) != u | (K(x,x \ 1) * y) * z = u.
(K(x,x \ 1) * y) * K(z \ 1,z) = y.
K(x,y) * z != T(u,K(x,y)) | u / K(x,y) = z.
x / K(y,z) = x * K(z,y).
K(x,y) * z != T(u * K(x,y),K(x,y)) | u = z.
x = (x * K(y,z)) * K(z,y).
(x * K(y,z)) * K(z,y) = x.
(x * K(y,z)) * K(z,y) != u | x = u.
x * K(y,z) != u | u * K(z,y) = x.
(x * K(y,z)) \ x != u | K(z,y) = u.
(x * (y * z)) \ ((x * (y * z)) * K(L(u,y * z,x),z)) = (x * (y * T(z,u))) \ (x * (y * z)).
K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z.
x * K(y,z) != u * T(y,z) | u * y = x.
x * y = (x * T(y,z)) * K(z,y).
(x * T(y,z)) * K(z,y) = x * y.
(x * K(y \ 1,y)) * K(z,z \ 1) = x.
x * K(y \ 1,y) != z | K(u,u \ 1) * z = x.
K(x,x \ 1) * (y * z) = y * T(z,z \ 1).
(x * T(x \ y,z)) \ y = K(z,x \ y).
(x * (y * z)) \ ((x * (y * z)) * K(u,L(z,y * z,x))) = (x * (y * T(z,u))) \ (x * (y * z)).
(x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y * z,x)).
(x * (y * z)) \ (x * ((y * z) * K(u,z))) = (x * (y * T(z,u))) \ (x * (y * z)).
(x / T(y,z)) * K(y,z) = x / y.
(x / y) * K(y,z) = x / T(y,z \ y).
x / T(y,z \ y) = (x / y) * K(y,z).
K(x,R(y,z,z \ u)) * u = z * ((K(y,x) * z) \ u).
K(x,R(y,z,z \ u)) * u != w | (K(x,y) * z) * (z \ u) = w.
(K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u).
x * K(y,z) = (x * T(y,z)) / y.
(x * T(y,z)) / y = x * K(y,z).
(x * T(y,z)) / u != x * K(y,z) | L(y,K(y,z),x) = u.
L(x,K(x,y),z) = x.
x * K(y,z) != u / y | x * T(y,z) = u.
x / y != z * K(y,u) | z * T(y,u) = x.
L(x \ 1,x,y * T(x,z)) = (y * T(x,z)) \ (y * K(x,z)).
L(x,K(y,x),z) = x.
(x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)).
K(L(x,K(y,z),u),y) = K(x,y).
(x / (y * K(z,u))) * y = (x / y) * (y * K(u,z)).
((x * y) / (y * K(z,u))) * y = x * (y * K(u,z)).
R(x / y,y,K(z,u)) * y = ((x * K(z,u)) / y) * (y * K(u,z)).
R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w.
x * R(x \ y,x,K(z,u)) = ((y * K(z,u)) / x) * (x * K(u,z)).
((x * K(y,z)) / u) * (u * K(z,y)) = u * R(u \ x,u,K(y,z)).
K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1).
K(x,x \ 1) * y = (y \ 1) \ 1.
K(x,((y \ 1) \ 1) * z) = K(x,y * z).
K(x,x \ 1) * (y * z) = y * (K(u,u \ 1) * z).
(x * ((K(y,y \ 1) * z) * u)) \ ((K(w,w \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u).
K(x,x \ 1) * (y * (z * K(u \ 1,u))) = y * z.
K(x \ 1,x) * (y * z) = y * (z * K(u \ 1,u)).
(x * (K(y,y \ 1) * (z * u))) \ ((K(w,w \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u).
(x * (K(y,y \ 1) * (z * u))) \ (K(w,w \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u).
x * y != (x * z) * (K(u,w) * K(w,u)) | z = y.
x = (K(y \ 1,y) * x) * K(z,z \ 1).
(K(x \ 1,x) * y) * K(z,z \ 1) = y.
(x * y) * K(z,z \ 1) = T(x,x \ 1) * y.
T(x,x \ 1) * y = (x * y) * K(z,z \ 1).
K(x,y) * (x \ z) = T(x,y \ x) \ z.
T(x,y \ x) \ z = K(x,y) * (x \ z).
((x * y) / x) \ z = K(y,x) * (y \ z).
K(x,y) = ((y * x) / y) \ x.
((x * y) / x) \ y = K(y,x).
(x / y) \ z = K(y \ x,y) * ((y \ x) \ z).
K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z.
K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z.
((1 / x) \ y) * K(z,z \ 1) = (x \ 1) \ y.
(x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y.
(x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y.
(x \ y) * K(z \ 1,z) = (K(u,u \ 1) * x) \ y.
(K(x,x \ 1) * y) \ z = (y \ z) * K(u \ 1,u).
(x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(w \ 1,w).
K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u.
((x \ 1) \ 1) * y = (x * y) * K(z,z \ 1).
(x * y) * K(z,z \ 1) = ((x \ 1) \ 1) * y.
x * K(y,y \ 1) != z | K(u \ 1,u) * z = x.
K(x \ 1,x) * (((y \ 1) \ 1) * z) = y * z.
x \ (K(y \ 1,y) * z) = ((x \ 1) \ 1) \ z.
K(x \ 1,x) * (y * z) = (1 / (1 / y)) * z.
x \ (K(y,y \ 1) * z) = ((x \ 1) \ 1) \ z.
x \ ((1 / y) \ z) = ((x \ 1) \ 1) \ ((y \ 1) \ z).
((x \ 1) \ 1) \ ((y \ 1) \ z) = x \ ((1 / y) \ z).
x != ((y \ 1) \ 1) \ z | (y \ z) * K(u,u \ 1) = x.
(x \ y) * K(z,z \ 1) = x \ (K(u,u \ 1) * y).
x \ (K(y,y \ 1) * z) = (x \ z) * K(u,u \ 1).
(x * (K(y,y \ 1) * (z * u))) \ (K(w,w \ 1) * ((x * z) * u)) != v5 | a(x,K(y,y \ 1) * z,u) = v5.
a(x,K(y,y \ 1) * z,u) = ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(w,w \ 1).
((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(w,w \ 1) = a(x,K(y,y \ 1) * z,u).
(((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(w,w \ 1) = a(x,K(v5,v5 \ 1) * y,z).
a(x,K(y,y \ 1) * z,u) = (((x * (z * u)) \ ((x * z) * u)) * K(w \ 1,w)) * K(v5,v5 \ 1).
a(x,K(y,y \ 1) * z,u) = (a(x,z,u) * K(w \ 1,w)) * K(v5,v5 \ 1).
x != (y * K(z \ 1,z)) * K(u,u \ 1) | y = x.
a(x,y,z) = a(x,K(u,u \ 1) * y,z).
a(x,K(y,y \ 1) * z,u) = a(x,z,u).
a(x,(y \ 1) \ 1,z) = a(x,y,z).
(x * (y * z)) \ (x * (y * T(z,u \ z))) = (x * (y * T(z,u))) \ (x * (y * z)).
(x * (y * z)) \ (x * (y * T(z,u))) != w | K(u,(x * (y * z)) \ (x * y)) = w.
K(x \ y,(z * (u * y)) \ (z * u)) = (z * (u * T(y,x))) \ (z * (u * y)).
(x * (y * T(z,u))) \ (x * (y * z)) = K(u \ z,(x * (y * z)) \ (x * y)).
(x * (y * T(z,u))) \ (x * (y * z)) != w | K(u,L(z,y * z,x)) = w.
K(x,L(y,z * y,u)) = K(x \ y,(u * (z * y)) \ (u * z)).
K(x \ y,(z * (u * y)) \ (z * u)) = K(x,L(y,u * y,z)).
K(x,(y * (z * u)) \ (y * z)) != w | K(u,L(x,z,y)) = w.
K(x,L(y \ x,z,u)) = K(y,L(x,z * x,u)).
K(x,L(y,z,u)) = K(x,L(y,z * y,u)).
K(x,L(y,z * y,u)) = K(x,L(y,z,u)).
K(x,L(y,z * y,u)) != w | (u * (z * T(y,x))) \ (u * (z * y)) = w.
(x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)).
L(K(x,y),z * y,u) = K(x,L(y,z,u)).
(K(x,y) * z) \ (u * ((K(y,x) * u) \ z)) = a(K(x,y),u,u \ z).
K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w.
x != y * (z * K(u,w)) | (y * z) * K(u,L(w,z,y)) = x.
(x * y) * K(z,L(u,y,x)) = ((x * y) / (y * K(u,z))) * y.
((x * y) / (y * K(z,u))) * y = (x * y) * K(u,L(z,y,x)).
(x * y) * z != ((x * y) / u) * y | (x * u) \ (x * y) = z.
(x * (y * K(z,u))) \ (x * y) = K(u,L(z,y,x)).
L(K(x,y),z,u) = (u * (z * K(y,x))) \ (u * z).
(x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x).
R(x,K(y,z),K(u,y)) = x.
L(K(x,y),K(z,y),u) = K(x,y).
L(x,K(y,z),K(z,u)) = x.
T(x,y) / x != z | x \ T(x,y) = z.
x * K(x,y) = T(x,T(y,T(x,z))).
T(x,T(y,T(x,z))) = x * K(x,y).
T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y).
T(x,T(y,z)) * K(y,x) = T(x * K(y,x),T(y,z)).
K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5.
T(K(x,y),z) = K(T(1 / x,z) \ 1,y).
K(T(1 / x,y) \ 1,z) = T(K(x,z),y).
K(x,T(y,T(z,x))) = K(x,T(y,z)).
x != K(y,z) | K(z,y \ 1) = x.
K(x,y \ 1) = K(x,z / (y * z)).
K(x,y / (z * y)) = K(x,z \ 1).
K(x,L(x,y,z) \ u) != w | K(x,u) = w.
K(x,L(x,y,z) / u) = K(u,x).
x != K(y,z \ (y \ u)) | K(y,(z * y) \ u) = x.
K(x,(y * x) \ z) = (u * K(y \ (x \ z),x)) \ u.
(x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u).
(x * (y * K(z,u))) * L(K(u,z),y,x) = x * y.
(x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z).
(x * y) * K(y,z) != u | x * T(y,z) = u.
L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)).
L(K(x,y),z,u) = K(x,L(y,z / y,u)).
K(x,L(y,z / y,u)) = L(K(x,y),z,u).
L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)).
L(K(x,y),x,z) != u | K(x,y) = u.
K(x,(y \ z) \ x) = K(x,z \ (y * x)).
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)).
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(T(x,y),z) * u != w | K(x,T(z,y)) * u = w.
(x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)).
R(x,K(y,z),K(z,u)) = x.
R(x,L(K(y,z),u,w),K(z,v5)) = x.
(x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5).
(x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w).
(L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5.
K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y).
x != K(K(y,z) \ u,y) | K(u,y) = x.
K(x \ y,z) = K((x * K(z,u)) \ y,z).
K((x * K(y,z)) \ u,y) = K(x \ u,y).
K((x * K(y,z)) \ u,z) = K(x \ u,z).
K(T(x,y \ 1) \ z,y) = K(x \ z,y).
x * K(y \ x,z) != u | y * T(y \ x,z) = u.
((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u.
(x / y) * K(z,y) != u | x * T(x \ (x / y),z) = u.
K(x,T(y,x \ z)) = K(x,T(y,z / x)).
K(x,T(y,z / x)) = K(x,T(y,x \ z)).
K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)).
1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)).
1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)).
K(x,(y / x) \ z) = K(x,y \ (x * z)).
T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w.
(x * y) * (K(y,x) * z) != u | K(y,x) * ((x * y) * z) = u.
K(x,y) * ((y * x) * z) = (x * y) * z.
K(x,y) * z = (x * y) * ((y * x) \ z).
(x * y) * ((y * x) \ z) = K(x,y) * z.
x != K(y,z) * z | z * K(y,z) = x.
x * K(y,x) = (y * x) * ((x * y) \ x).
(x * y) * ((y * x) \ y) = y * K(x,y).
(K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w).
(x \ y) * (K(x,y) * z) = (y / x) * z.
T(K(x,y) * z,(x \ y) \ 1) = ((y / x) * z) / (x \ y).
T(x,y) * (K(y,x) * z) != u | x * z = u.
T(x,y) * (T(y,x) * z) != u | x * (y * z) = u.
T(x,y) * T(y * K(z,y),x) != u | x * (y * K(z,T(y,x))) = u.
K(x,y) * T((z * y) / z,x) != u | y * K(z,T(y,x)) = u.
K(x,T(y,z)) * u = K(z,K(y,x)) * (K(x,y) * u).
K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u.
(T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u).
K(x,y) * T(y,T(z,x)) = T((x * y) / x,z).
K(x,y) * T((y * x) / y,z) = T(x,T(z,y)).
K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)).
T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y).
x * (y * K(z,T(y,x))) = (y * K(z,y)) * T(x,y).
(x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))).
K(x,T(y,z)) = K(x,T(y,x \ z)).
K(x,T(y,x \ z)) = K(x,T(y,z)).
K(x,T(y,x \ z)) != u | K(x,T(y,z / x)) = u.
K(x,T(y,z / x)) = K(x,T(y,z)).
K(x,T(y,z)) = K(x,T(y,z * x)).
K(x,T(y,z * x)) = K(x,T(y,z)).
K(x,T(y,z)) * (z * x) = (z * x) * K(x,y).
x != (y * z) * K(z,u) | y * T(z,u) = x.
x * T(y,z) = K(y,T(z,x)) * (x * y).
K(x,T(y,z)) * (z * x) = z * T(x,y).
T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u.
K(x,T(y,y * z)) = K(x,T(y,z)).
x * K(y,T(z \ x,u)) = K(y,T(x / z,u)) * x.
K(x,T(y / z,u)) * y = y * K(x,T(z \ y,u)).
x * K(y,T((x \ z) \ 1,u)) = K(y,T((z / x) \ 1,u)) * x.
K(x,T((y / z) \ 1,u)) * z = z * K(x,T((z \ y) \ 1,u)).
T(x,y) = T(x,T(y,T(x,z))).
T(x,T(y,T(x,z))) = T(x,y).
(1 / x) * K(x \ 1,y) = T(1 / x,T(y,K(x,z))).
T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y).
x != (1 / y) * K(y \ 1,z) | T(1 / y,z) = x.
T(1 / x,y) = T(1 / x,T(y,K(x,z))).
T(1 / x,T(y,K(x,z))) = T(1 / x,y).
K(x,y \ (z \ y)) = K(z,T(x,y)).
x != K(y,T(z,u)) | K(z,T(y \ 1,u)) = x.
K(x,T(y \ 1,z)) = K(x,z \ (y \ z)).
T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x).
(x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x).
(x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x).
(x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x).
T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x).
x / ((y * z) / y) = (x / z) * K(z,y).
x / (y * K(z,y)) = (x / y) * K(y,z).
x * T(x \ (x / y),z) = x / T(y,z).
x * T(y / x,z) = x / T(x / y,z).
x / T(x / y,z) = x * T(y / x,z).
K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z.
K(x,y) * (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).
x \ y != K(z,(u * z) \ w) | y * K(u \ (z \ w),z) = x.
x * K(y \ (z \ x),z) = (y * z) * T((y * z) \ x,z).
(x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y).
x * y != z * T(z \ x,u) | K(z \ x,u) = y.
K((x * y) \ z,y) = K(x \ (y \ z),y).
x != K((y \ 1) \ 1,z) | K(y,z) = x.
K(x,y) = T((x \ 1) \ 1,z) / (T((x \ 1) \ 1,z) * K(y,(x \ 1) \ 1)).
T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z).
T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z).
K(x \ 1,x) * y != z | y * K(u \ 1,u) = z.
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) \ 1 = K(y,L(x \ 1,z,u) \ 1).
K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1.
L(x,K(y,z),L(K(u,z),w,v5) \ 1) = x.
L(x,L(K(y,z),u,w),L(K(v5,z),v6,v7) \ 1) = x.
L(1,x,y) = K(L(z,x,y) \ 1,(z \ 1) * L((z \ 1) \ 1,u,w)).
K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z).
x != L(1,y,z) | 1 = x.
1 = K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)).
K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1.
K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1.
T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1.
T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z).
T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z).
L(K(x,y),z,u) * K(y,w) != v5 | (u * z) \ ((u * (z * K(x,y))) * K(y,w)) = v5.
(x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x).
L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y).
K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u).
x * K((x \ y) \ 1,z) = K((y / x) \ 1,z) * x.
K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z).
(K(x,y) * z) \ z != u | K(y,T(x,z)) = u.
K((K(x,y) * z) \ u,y) = K(z \ u,y).
K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u).
K(L(x,y,K(z,u)),u) != w | K(x,u) = w.
K(x \ y,z) = K(x \ (K(u,z) * y),z).
K(x \ (K(y,z) * u),z) = K(x \ u,z).
K(x \ (y * z),z) = K(x \ (z * y),z).
K(x \ (K(y,z) * u),y) = K(x \ u,y).
K(x \ (y \ z),z / y) = K(x \ (z / y),z / y).
K(x \ (y / z),y / z) = K(x \ (z \ y),y / z).
K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)).
K((x \ y) \ y,z) != u | K(x,T(z,y)) = u.
K(x,T(y,x * z)) != u | K(x,T(y,z)) = u.
K(x,T(x * y,L(z,y,x))) != u | K(x,T(x * y,y * z)) = u.
K(x,T(x * y,y * z)) = K(x,T(x * y,z)).
K(x,T(x * y,z)) = K(x,T(x * y,y \ z)).
K(x,T(x * y,y \ z)) = K(x,T(x * y,z)).
K(x / y,T(x,y \ z)) = K(x / y,T((x / y) * y,z)).
K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)).
x != K(y / z,T(y,u)) | K(z \ y,T(y,u)) = x.
K(x \ y,T(y,x \ z)) = K(y / x,T((y / x) * x,z)).
K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)).
K(x / y,T(x,z)) = K(y \ x,T(x,y \ z)).
K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)).
K(x \ y,T(y,z)) = K(x \ y,T(y,x \ z)).
K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)).
K(x,L(y,x,z)) != u | K(x,y) = u.
T(x * y,y) = x * (y * K(x * y,y)).
x * (y * K(x * y,y)) = T(x * y,y).
R(x,y,K(z,y)) = x.
R(x,y,K(y,z)) = x.
R(x,T(y,z),K(u,y)) = x.
R(x,y \ z,K(u,z \ y)) = x.
x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x).
T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z).
(x \ y) * (y \ x) = T((x \ y) * (y \ x),z).
T((x \ y) * (y \ x),z) = (x \ y) * (y \ x).
T(x,(y \ z) * (z \ y)) = x.
T(x,y * (z \ (z / y))) = x.
K(x \ (x * y),z) != u | K(y,z) = u.
L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y).
(x / (y * x)) * y = y * R(y \ 1,y,x).
(1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x).
x != R(y,z,y) | y = x.
x = L(R(x,y,x),z,x).
L(R(x,y,x),z,x) = x.
L(x,y,z) != z | R(z,u,z) = x.
R(x,y,x) = z \ T(x * z,x).
T(x * y,x) != z | y * x = z.
T(T(x,y \ 1),y) != z | x = z.
L(x,y,z) * T(u,x) != w | T(L(x,y,z) * u,x) = w.
R(T(x,y),z,u) != w | T(R(x,z,u),y) = w.
T(R(x,y,x),z * x) = T(x,z).
T(x / y,y) != z | z = y \ x.
T(x / y,y) != z | y \ x = z.
T(K(x,T(y,z)),z) != u | u = K(x,y).
T(K(x,T(y,z)),z) != u | K(x,y) = u.
x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u.
K(x / y,z) != u | K((y / x) \ 1,z) = u.
K(x \ (x / y),z) != u | K(y \ 1,z) = u.
T(x,x \ y) != z | (x \ y) \ y = z.
x * L(y,z,x) != u | T(L(y,z,x) * x,y) = u.
K((x / y) \ 1,x) = K(x \ y,x).
T(K(x,y),L(y,z,u)) != w | K(x,y) = w.
K(x,T(T(y,z),z)) != u | K(x,y) = u.
K(x / y,T(z,x)) != u | K(y \ x,z) = u.
K(T(x,y),T(z,y)) != u | K(x,z) = u.
K(x,T(y,z)) != u | K(z / (z / x),y) = u.
K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w.
K(x,y / z) != u | K(z / y,x) = u.
K((K(x,y) * z) / u,x) = K(u \ z,T(x,z)).
K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z).
K(x / y,z) = K((K(z,u) * x) / y,z).
K((K(x,y) * z) / u,x) = K(z / u,x).
K(x / y,z) = K((x * K(u,z)) / y,z).
K((x * K(y,z)) / u,z) = K(x / u,z).
K((x * T(y,z)) / u,z) = K((x * y) / u,z).
(x * K((y * z) / u,w)) \ x = K(w,(y * T(z,w)) / u).
K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w.
x != (y * K(z,u)) \ y | K(u,z) = x.
K(x,(y * z) / u) = K(x,(y * T(z,x)) / u).
K(x,(y * T(z,x)) / u) = K(x,(y * z) / u).
K(x,(y * x) / z) = K(x,(x * y) / z).
K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5.
K(T(x,y),y \ z) != u | K(x,z / y) = u.
K(x,T(y \ z,y)) != u | K(x,z / y) = u.
K(x,T(y \ z,z)) != u | K(x,z / y) = u.
K((x * y) / x,T(z,x)) != u | K(y,z) = u.
K(x / y,x / z) != u | K(y \ x,z \ x) = u.
K((x * y) / x,z) != u | K(y,T(z,x)) = u.
K(x * K(y,x),z) != u | K(x,T(z,y)) = u.
(x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u).
K(((x * y) / (x * z)) \ 1,u) = (x * (y * T(y \ z,u))) / (x * z).
(x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u).
K(x \ (y \ 1),y) = K(y \ (x \ 1),y).
K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u.
K(x \ 1,y) = K(y \ ((y \ x) \ 1),y).
K(x \ ((x \ y) \ 1),x) = K(y \ 1,x).
K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x) = K(L(x * (y \ z),x \ 1,y) \ 1,x).
K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x).
x != K(y \ (((y \ 1) * z) \ 1),y) | K(z \ 1,y) = x.
K(((x * (y \ 1)) \ z) \ 1,y) = K(L(y * (x \ z),y \ 1,x) \ 1,y).
K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x).
x != K(y,z) | L(K(y,z),z,u) = x.
L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1).
L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1).
K(x,((y * z) \ y) \ 1) != u | K(x,z) = u.
K(x,(y \ z) \ 1) != u | K(x,z \ y) = u.
K(x,(y / z) \ 1) != u | K(x,z / y) = u.
L(K(x,y),y,z) != u | K(x,y) = u.
K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w.
L(K(x,T(y,z)),T(y,z),z) != u | R(T(K(x,y),y * z),y,z) = u.
R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1).
K((x \ y) \ 1,z) != u | K(y \ x,z) = u.
K(x \ (y * (z \ 1)),z) = K(L(z * (y \ x),z \ 1,y) \ 1,z).
K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x).
K(x \ 1,y) != z | K(u \ (u / x),y) = z.
K(x \ (x / y),y) = K(z \ 1,z).
K(x \ (x / L(y,z,u)),w) = L(K(y \ 1,w),z,u).
K(x \ (x / L(y,z,u)),w) = L(y * T(y \ 1,w),z,u).
L(x * T(x \ 1,y),z,u) = K(w \ (w / L(x,z,u)),y).
K(x,y / (z * y)) != u | K(z,x) = u.
K(x \ 1,y) = K((x \ z) / z,y).
K((x \ y) / y,z) = K(x \ 1,z).
K(x \ (y \ x),y \ x) = K(y \ 1,y \ x).
K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y).
K(x,(y / z) \ 1) * z = z * K(x,y \ z).
K(x,y) = K(x * L(y,z,u),y).
K(x * L(y,z,u),y) = K(x,y).
K(x / L(y,z,u),y) = K(x,y).
K(x * L(y,z,u),y) != w | K(y * x,y) = w.
K(L(x,y,z) * u,x) != w | K(x * u,x) = w.
L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w.
T(x,y \ z) = T(x,(z \ y) \ 1).
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,(y \ z) \ 1) != u | T(x,z \ y) = u.
T(x,y \ 1) = T(x,(z * y) \ z).
T(x,(y * z) \ y) = T(x,z \ 1).
T(x,T(y,z) \ 1) = T(x,z \ (y \ z)).
T(x,y \ z) != u | T(u,z \ y) = x.
T(x,T(y \ 1,z)) = T(x,z \ (y \ z)).
T(x,y / (z * y)) = T(x,z \ 1).
K(x,y) * T(x * K(y,x),z \ 1) = T(x,T((u * z) \ u,y)).
T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1).
x != K(y,z) * T(y * K(z,y),u) | T(y,T(u,z)) = x.
T(x,T(y \ 1,z)) = T(x,T((u * y) \ u,z)).
T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)).
T(x,T(y \ z,u)) = T(x,T((z \ y) \ 1,u)).
T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)).
T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u.
T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)).
((x / y) * z) / (y \ x) != u | T(K(y,x) * z,x \ y) = u.
x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w.
L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w.
K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u.
x * (y * K((x \ 1) \ y,z)) = T(x * y,z).
K(x \ T(y,z),z) != u | K(x \ y,z) = u.
K(x,y \ T(z,x)) = K(x,y \ z).
K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u.
K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u.
K((x * y) \ (z * y),y) != u | K(x \ z,y) = u.
K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u.
K(x,y \ (z * x)) = K(x,y \ (x * z)).
x != K(y,z \ (y * u)) | K(y,z \ u) = x.
K(x,y \ z) = K(x,y \ (z * x)).
K(x,y \ (z * x)) = K(x,y \ z).
K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u.
K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w.
(x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z).
L(K(x,y),z * x,u) = K(L(x,z,u),y).
L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z).
L(K(x,y),z,u) = K(L(x,z / x,u),y).
K(L(x,y / x,z),u) = L(K(x,u),y,z).
K(L(x,y / T(x,z),u),w) = L(K(T(x,z),T(w,z)),y,u).
L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z).
x != L(y,z,u) | (u * z) \ (u * (z * y)) = x.
(x * y) \ (x * (y * K(z,u))) = K(L(z,y / z,x),u).
K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))).
L(K(x,y),z,u) \ 1 = K(y,L(x,z / x,u)).
K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1.
K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w.
L(K(x,y),z,u) = L(K(y,x),z,u) \ 1.
L(K(x,y),z,u) \ 1 = L(K(y,x),z,u).
L(K(x,y),z,u) \ 1 != w | K(y,L(x \ 1,z,u) \ 1) = w.
K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u).
1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w.
K(x,L(y,z,u) \ 1) = L(K(x,y \ 1),z,u).
L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
L(L(K(x,y),z,u),w,v5) = K(x,L(L(y \ 1,z,u),w,v5) \ 1).
K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5).
K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w.
K(L(x,y / T(x,y),z),u) != w | L(K(x,u),T(y,x),z) = w.
L(K(x,y),z,u) = K(L(x,z / T(x,w),u),y).
K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u).
L(K(x,y),T(z,x),u) = L(K(x,y),z,u).
x != L(K(y,z * y),z,u) | K(y,z * y) = x.
K(x,y * x) = L(K(x,y * x),T(y,x),z).
L(K(x,y * x),T(y,x),z) = K(x,y * x).
L(K(x,x * y),T(y,x),z) != u | (z * (x \ T(y * x,x))) \ (z * T(y,x)) = u.
(x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x).
L(K(x,x * y),T(y,x),z) = K(x,y * x).
L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x).
L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x).
L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y).
K(x \ y,y) = K(L(x \ y,x,z),y).
K(L(x \ y,x,z),y) = K(x \ y,y).
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).
K((x \ y) \ z,z) = K(y \ (x * z),z).
L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u).
L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u).
K(((x \ y) \ z) \ x,x) != u | K(z \ y,x) = u.
L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x).
K(L(x \ y,T(x,z),z),y) = K(x \ y,y).
L(x \ 1,T(x,y),z) = L(x \ 1,x,z * T(x,y)).
L(x \ 1,x,y * T(x,z)) = L(x \ 1,T(x,z),y).
K(x,L(y,z / y,u)) = L(K(x,y),z * K(y,w),u).
L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)).
x != K(y,L(z,u / z,w)) | L(K(y,z),u,w) = x.
L(K(x,y),z,u) = L(K(x,y),z * K(y,w),u).
L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w).
(x * K(y,z)) * z = x * T(z,y \ z).
(x * (y * K(z,y))) * z = (x * y) * T(z,y).
(x * ((y * z) / y)) * y = (x * z) * T(y,z).
T(x,y) * T(y,T(x,z)) = x * T(y * K(x,y),T(x,z)).
x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)).
x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)).
x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)).
(x * y) \ ((z * T(z \ x,u)) * y) != w | K(((x * y) \ (z * y)) \ 1,u) = w.
K(((x * y) \ (z * y)) \ 1,x) = R(T(K(z \ x,x),x * y),x,y).
R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y).
R(T(K(x,y),y * z),y,z) != u | K(x,((y * z) \ z) \ 1) = u.
K(x \ y,((y * z) \ z) \ 1) = K(((y * z) \ (x * z)) \ 1,y).
K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1).
K((x * y) \ (z * y),z) = K(x \ z,((z * y) \ y) \ 1).
K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y).
K(x \ y,z \ (y * z)) = K((x * z) \ (y * z),y).
K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)).
K((x * y) \ (z * y),z) = K(x \ z,T(z,y)).
K(x \ (y * z),y) = K((x / z) \ y,T(y,z)).
K((x / y) \ z,T(z,y)) = K(x \ (z * y),z).
x != K(y \ (z * u),z) | K(y \ (u * z),z) = x.
K(x \ (y * z),z) = K((x / y) \ z,T(z,y)).
K((x / y) \ z,T(z,y)) = K(x \ (y * z),z).
K(x \ y,T(y,x \ z)) = K(z \ ((x \ z) * y),y).
K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)).
x != K(y \ z,T(z,y \ u)) | K(y \ z,T(z,u)) = x.
K(x \ y,T(y,z)) = K(z \ ((x \ z) * y),y).
K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)).
K(x \ (y \ z),x \ z) = K(y \ (x \ z),T(x \ z,z)).
K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z).
K(x \ (y \ z),z / y) = K(y \ (x \ z),y \ z).
K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x).
T(x \ y,x \ (z \ y)) \ 1 = (x \ y) \ K(z \ (x \ y),y / x).
(x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1.
x * K((x \ y) \ 1,z) != u | K((y / x) \ 1,z) * x = u.
K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z).
(x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u).
K(x \ T(y,z \ 1),z) = K(x \ y,z).
K(x,y \ 1) / y = (x * (1 / y)) / x.
((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y.
K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y).
(1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z.
(1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z.
(1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z).
K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z).
(K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x.
(K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z).
(x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u.
L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y).
L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)).
L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)).
K(T(1 / x,y * K(x,z)) \ 1,u) = L(T(K(x,u),y),T(y,K(x,z)),K(x,z)).
L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y).
x != K(T(1 / y,z) \ 1,u) | T(K(y,u),z) = x.
T(K(x,y),z * K(x,u)) = L(T(K(x,y),z),T(z,K(x,u)),K(x,u)).
L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)).
L(T(K(x,y),z),u,K(x,w)) != v5 | T(K(x,y),z) = v5.
T(K(x,y),z) = T(K(x,y),z * K(x,u)).
T(K(x,y),z * K(x,u)) = T(K(x,y),z).
T(K(x,y),K(x,z) * u) = T(K(x,y),u).
x != T(K(y,z),u) | L(T(K(y,z),u),w,K(y,v5)) = x.
L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),K(x,v5) * z).
T(K(x,y),K(x,z) * u) = L(T(K(x,y),u),w,K(x,v5)).
(K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u).
(K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z).
(x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x).
((x * (1 / y)) / x) * y = K(x,y \ 1).
x != K(y \ (y / z),z) | K(u \ 1,u) = x.
K(x \ 1,x) = L(y * T(y \ 1,L(y,z,u)),z,u).
L(x * T(x \ 1,L(x,y,z)),y,z) = K(u \ 1,u).
T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1.
(x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u.
x * R(y,z,y) = T(y * x,y).
T(T(T(x,y \ 1),z),y) != u | T(x,z) = u.
T(x,(y \ 1) \ 1) != z | T(x,y) = z.
x * y != z * T(u \ 1,w) | x \ (z * (T(u,w) \ 1)) = y.
(x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y).
x * y != L(z,L(K(u,w),v5,v6),L(K(v7,w),v8,v9) \ 1) | x \ z = y.
(x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1.
x * y != z * K(z,u) | x \ T(z,u) = y.
x \ T(y,x) = (x \ y) * K(y,x).
(x \ y) * K(y,x) = x \ T(y,x).
x * y != z * (u * (u \ 1)) | x \ z = y.
(x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ L(x,y,z)) \ 1).
(x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1).
x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x.
T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y.
x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x.
(x * T(y,z)) / T(x,y) = T(y,T(z,x)).
x * y != ((z / u) * u) * w | (z * w) / y = x.
(x * y) / L(y,z,u) = (x / L(y,z,u)) * y.
x * y != (z * (z \ 1)) * u | u / y = x.
T(x,y \ 1) / x = y * ((x * (y \ 1)) / x).
x * ((y * (x \ 1)) / y) = T(y,x \ 1) / y.
x / y != (z / u) * K(u,w) | (z / ((w * u) / w)) * y = x.
(x / ((y * z) / y)) * (z * K(y,z)) = x.
x / y != K((z / u) \ z,w) | K(u,w) * y = x.
K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u).
(x * L(x,y,z)) \ (L(x,y,z) * (x * u)) = L(u,x,L(x,y,z)).
(T(x / y,z) \ x) \ x = T(y \ x,z).
x != L(K(y,z),u,w) \ 1 | L(K(z,y),u,w) = x.
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).
x / y != (z * L(K(u,w),v5,v6)) \ z | L(K(w,u),v5,v6) * y = x.
L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w.
K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u.
x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x.
(K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y).
K(x,y) * (K(y,z) * u) = K(y,z) * (K(x,y) * u).
K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u).
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),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5).
T(x,y) * K(x * y,y) = y \ T(x * y,y).
(x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u.
L(K(x,y),y \ 1,z) = K(x,y).
K(x \ 1,y) != z | K(L(x,y \ 1,u) \ 1,y) = z.
(x \ 1) * (L(x,y,z) \ x) = (x \ L(x,y,z)) \ (x \ 1).
(x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x).
K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y).
R(x \ 1,y,x \ 1) = T(x \ 1,R(x,z,u)).
T(x \ 1,R(x,y,z)) = R(x \ 1,u,x \ 1).
T(x,R(y,z \ 1,u \ 1)) != w | T(x,L(y,z,u)) = w.
T(x \ 1,L(x,y,z)) = R(x \ 1,u,x \ 1).
x \ y != L(z,u,u \ 1) \ 1 | x * (u * ((z * u) \ 1)) = y.
x * (y * ((x * y) \ 1)) = L(x,y,y \ 1) \ x.
T(x,y / x) != z | (x \ y) \ y = z.
((x * y) \ y) \ y = T(x * y,x \ 1).
T(x * y,x \ 1) = ((x * y) \ y) \ y.
x \ y != T(L(z,u,w) * (z \ 1),L(z,v5,v6) \ 1) | y / (z \ L(z,u,w)) = x.
(x \ 1) / (x \ L(x,y,z)) = (L(x,y,z) * (x \ 1)) \ (x \ 1).
(L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)).
T(T(x * K(y,x),z),y) != u | T(x,z) = u.
T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u.
(x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)) = T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)).
T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)).
L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y).
L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) != u | K(y,y * x) = u.
T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)).
T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)).
T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y).
(x * ((y \ ((z \ 1) \ y)) \ T((z \ 1) \ y,z))) \ (x * T(y,z)) = L(K(y \ ((z \ 1) \ y),(y \ ((z \ 1) \ y)) * T(y,z)),T(y,z),x).
L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)).
T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y).
L(T(x,y \ 1),z,x) != u | T(x,y \ x) = u.
(x / (y \ 1)) * L(y \ 1,y,x) = (y \ 1) \ (y \ x).
x \ ((y \ 1) \ (y \ x)) = (x * (y \ 1)) \ (x / y).
(x * (y \ 1)) \ (x / y) = x \ ((y \ 1) \ (y \ x)).
(x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)).
(x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u.
T(x,T(y \ x,z)) = T(x,T(x * (y \ 1),z)).
T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)).
x * y != T(z,T(z * (u \ 1),w)) | x \ T(z,T(u \ z,w)) = y.
x \ T(x,T(y \ x,z)) = K(x,T(x * (y \ 1),z)).
K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)).
K(x,T(y \ x,z)) = K(x,T(x * (y \ 1),z)).
K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)).
K(x,T(x * y,z)) != u | K(x,T(y * x,z)) = u.
K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)).
K(x,R(y,z,y) * u) = K(x,y * u).
x != K(R(y,z,y),u) | K(y,u) = x.
K(x,y * z) = K(R(x,u,x),R(y,w,y) * z).
K(R(x,y,x),R(z,u,z) * w) = K(x,z * w).
K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)).
K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)).
K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)).
(x * y) * K(z \ 1,z) = (1 / (1 / x)) * y.
K((1 / (1 / x)) * y,z) != u | K(x * y,z) = u.
x * ((y * (x \ 1)) / y) != z | y \ T(y,x \ 1) = z.
x \ L(x,y,y \ 1) != z | a(x,y,y \ 1) = z.
L(x,y,z) * T(u,u * x) = K(u,u * x) * (L(x,y,z) * u).
K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y).
K(R(x,y,x),R(x,y,x) * z) * T(x * L(z,u,w),x) = L(z,u,w) * T(R(x,y,x),R(x,y,x) * z).
K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,w,x),R(x,w,x) * y).
L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = K(u,u * x) * T(u * L(x,y,z),u).
L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = K(u,u * x) * T(u * L(x,y,z),u).
x != K(y,z) * T(u,y) | T(K(y,z) * u,y) = x.
T(K(x,x * y) * (x * L(y,z,u)),x) = L(y,z,u) * T(R(x,w,x),R(x,v5,x) * y).
L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u).
L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(T(u,u * x) * L(x,y,z),u).
L(x,y,z) * T(R(u,w,u),x * R(u,w,u)) = T(T(u,u * x) * L(x,y,z),u).
L(x,y,z) * T(R(u,w,u),x * u) = T(T(u,u * x) * L(x,y,z),u).
L(x,y,z) * T(u,x) = T(T(u,u * x) * L(x,y,z),u).
T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y).
x * (L(y,z,u) / x) = L(x * (y / x),z,u).
x / L(y \ x,z,u) != w | L(x / y,z,u) \ x = w.
(x * L(y,z,u)) / x = L((x * y) / x,z,u).
(x * (y \ (z * u))) / x = L((x * ((z \ y) \ u)) / x,z \ y,z).
L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x.
x \ y != L((z * ((u \ w) \ v5)) / z,u \ w,u) | x * ((z * (w \ (u * v5))) / z) = y.
x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)).
x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z).
x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z).
x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z).
(x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)).
x \ T(x,(y \ z) \ 1) = y \ (z * ((x * (z \ y)) / x)).
x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1).
x \ y != z \ T(z,u) | x * K(z,u) = y.
x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y).
x * K(y,z \ x) = z * ((y * (z \ x)) / y).
x * K(y,z \ x) != u | K(y,(z / x) \ 1) * x = u.
K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x).
K(x,y \ 1) * z = (y * z) * ((x * ((y * z) \ z)) / x).
(x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y.
(R(x / y,z,u) * y) * w = (y * w) * R((y * w) \ (x * w),z,u).
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
x * R(((x / y) * y) \ (z * y),u,w) = ((x / y) * R((x / y) \ z,u,w)) * y.
((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w).
(x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y.
R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w.
K((1 / x) * y,y) = K(x \ y,y).
K(x * y,y) = K((1 / x) \ y,y).
K((1 / x) \ y,y) = K(x * y,y).
x != K(y * z,z) | K(z * y,z) = x.
K(x * y,x) = K((1 / y) \ x,x).
K((1 / x) \ y,y) = K(y * x,y).
K(x \ y,y) = K(y * (x \ 1),y).
K(x * (y \ 1),x) = K(y \ x,x).
x != y \ (y / z) | L(z \ 1,z,y) = x.
L(x \ 1,x,y) = L(x \ 1,x,y / x).
L(x \ 1,x,y / x) = L(x \ 1,x,y).
(x / (y \ 1)) * (x \ (x / y)) = ((x / y) * (y * (y \ 1))) / (y \ 1).
((x / y) * (y * (y \ 1))) / (y \ 1) = (x / (y \ 1)) * (x \ (x / y)).
x \ (y \ (y * (x * z))) != u \ w | u * z = w.
x * (((x * y) * (y \ 1)) \ x) = ((x / y) * (y * (y \ 1))) / (y \ 1).
((x / y) * (y * (y \ 1))) / (y \ 1) = x * (((x * y) * (y \ 1)) \ x).
((x / y) * (y * (y \ 1))) / (y \ 1) = x * (L(x,y,y \ 1) \ x).
((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w).
(x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w).
(x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u).
(x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y.
R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z).
(((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w).
(((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w).
(((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u).
(((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z).
R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z).
R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z).
R(x,y * z,R(T(x,y * z),y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z).
x \ ((x * y) * z) = (y * z) * a(x,y,z).
x \ y != (z * (z \ u)) * w | x * (u * w) = y.
x * (y * a(x,z,z \ y)) = (x * z) * (z \ y).
x * y != (z * u) * a(w,z,u) | x \ (w \ ((w * z) * u)) = y.
(x * y) \ (z \ ((z * x) * y)) = a(z,x,y).
x * y != z \ ((z * u) * L(w,u,z)) | x \ (u * w) = y.
(x * L(y,x,z)) \ (x * y) = a(z,x,L(y,x,z)).
a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z).
(T(x,y) * z) \ (y \ ((x * y) * z)) = a(y,T(x,y),z).
((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y).
K(x,a(x,y,z)) = K(x,(y * z) \ ((x * y) * z)).
K(x,(y * z) \ ((x * y) * z)) = K(x,a(x,y,z)).
(T(a(x,y,z),z) * u) \ (z \ (a(x,y,z) * (z * u))) = a(z,T(a(x,y,z),z),u).
x \ y != (z * L(u,z,w)) \ (z * u) | x * a(w,z,L(u,z,w)) = y.
x * a(y,z,L(u,z,y)) = x * ((z * L(u,z,y)) \ (z * u)).
x / (((x \ y) \ x) * (x \ 1)) = x \ (x * (y * a(x,x,x \ y))).
x \ (x * (y * a(x,x,x \ y))) = x / (((x \ y) \ x) * (x \ 1)).
x != a(y,z,z \ u) | (y * u) \ ((y * z) * (z \ u)) = x.
(x * y) \ ((x * (x \ 1)) * ((x \ 1) \ y)) = ((x \ 1) * ((x \ 1) \ y)) \ (x \ ((x \ 1) \ y)).
((x \ 1) * ((x \ 1) \ y)) \ (x \ ((x \ 1) \ y)) = (x * y) \ ((x * (x \ 1)) * ((x \ 1) \ y)).
(x * y) \ ((1 / x) \ y) = a(1 / x,(1 / x) \ 1,y).
a(1 / x,(1 / x) \ 1,y) = (x * y) \ ((1 / x) \ y).
K(x,R(T(x,y * z),y,z)) = K(x,a(x,y,z)).
K(x,R(T(x,y),z,u)) != w | 1 = w.
1 = K(x,a(x,y,z)).
K(x,a(x,y,z)) = 1.
T(x,a(x,y,z)) = x.
T(a(x,y,z),x) = a(x,y,z).
x * y != T(z,a(z,u,w)) | z / y = x.
x / a(x,y,z) = a(x,y,z) \ x.
x \ (x * (y * a(x,x,x \ y))) = x / (((y \ x) * x) * (x \ 1)).
x \ (x * (y * a(x,x,x \ y))) = x / L(y \ x,x,x \ 1).
x != y / L(z \ y,u,w) | L(y / z,u,w) \ y = x.
L(x / y,x,x \ 1) \ x = x \ (x * (y * a(x,x,x \ y))).
x \ (x * (y * a(x,x,x \ y))) = L(x / y,x,x \ 1) \ x.
x \ ((x * x) * (x \ y)) = L(x / y,x,x \ 1) \ x.
L(x / y,x,x \ 1) \ x = x \ ((x * x) * (x \ y)).
a(1 / x,(1 / x) \ 1,y) = (x * y) \ ((x \ 1) \ y).
(x * (x \ y)) \ z != u | y \ z = u.
x \ (y \ ((y \ 1) \ x)) = (y * x) \ ((y * (y \ 1)) * ((y \ 1) \ x)).
(x * y) \ ((x * (x \ 1)) * ((x \ 1) \ y)) = y \ (x \ ((x \ 1) \ y)).
(x * y) \ ((x \ 1) \ y) = y \ (x \ ((x \ 1) \ y)).
(x * y) \ ((x \ 1) \ y) != z | a(1 / x,(1 / x) \ 1,y) = z.
a(1 / x,(1 / x) \ 1,y) = y \ (x \ ((x \ 1) \ y)).
a(x \ 1,(1 / x) \ 1,y) = y \ (x \ ((x \ 1) \ y)).
a(x \ 1,x,y) = y \ (x \ ((x \ 1) \ y)).
x \ (y \ ((y \ 1) \ x)) = a(y \ 1,y,x).
x * a(y \ 1,y,x) = y \ ((y \ 1) \ x).
x * ((y * x) \ (x * z)) != u \ (x * z) | R(y,x,z) = u.
x \ (y * z) != y * ((u * y) \ (y * z)) | R(u,y,z) = x.
x \ y != L(R((z \ u) \ w,v5,v6),z \ u,z) | x * R(u \ (z * w),v5,v6) = y.
x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)).
x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w).
x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w).
x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u).
(x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)).
L(x,y,z) * R(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * R((z * (y * x)) \ (z * y),u,w)).
(x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w).
T(x,y) * R((y \ (x * y)) \ 1,z,u) = y \ ((x * y) * R((x * y) \ y,z,u)).
x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u).
x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u).
x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u).
T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z).
T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y).
T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z).
T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z).
K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z).
K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z).
(x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w).
(x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w).
L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z).
L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z).
L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y).
K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y).
K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)).
x != K(y,T(z,L(z,u,w) \ v5)) | K(y,T(z,v5)) = x.
K(x \ (L(y,z,u) * w),T(y,x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)).
x != K(y \ z,T(u,y)) | K(z / y,u) = x.
K((L(x,y,z) * u) / w,x) = K((((L(x,y,z) \ w) \ u) \ u) \ u,x).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x).
x * ((y \ z) / x) = T(x * ((z / y) / x),y).
T(x * ((y / z) / x),z) = x * ((z \ y) / x).
(x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z).
x \ y != T(z * ((u / w) / z),w) | x * (z * ((w \ u) / z)) = y.
x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x.
(x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)).
(x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)).
(x * ((y / z) / x)) * z != u | z * (x * ((z \ y) / x)) = u.
(x * y) * (z * (((x * y) \ x) / z)) = (x * y) * (z * (L(y \ 1,y,x) / z)).
(x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)).
(x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)).
x * (y * (z * ((y \ 1) / z))) = (x * y) * (z * (((x * y) \ x) / z)).
(x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))).
(x \ y) * ((y * x) / y) = T((x \ y) * x,x).
T((x \ y) * x,x) = (x \ y) * ((y * x) / y).
T((x \ y) * x,x) = (x \ y) * (x * K(y,x)).
(x \ y) * (x * K(y,x)) = T((x \ y) * x,x).
(x \ y) * z != T((x \ y) * x,x) | R(y / (y / x),x \ y,x) = z.
R(x / (x / y),y \ x,y) = y * K(x,y).
x / y != z \ T(z * u,w) | (u * K((z \ 1) \ u,w)) * y = x.
(x * K((y \ 1) \ x,z)) * y = T(x * y,z).
L(x * L(x \ 1,y,z),x \ 1,u) = u \ ((u / (x \ 1)) * L(x \ 1,y,z)).
x * L(x \ 1,y,y \ 1) != z | a(x \ 1,y,y \ 1) = z.
L(x * (y \ (y / x)),x \ 1,z) = z \ ((z / (x \ 1)) * L(x \ 1,x,y)).
L((x \ 1) * ((y \ 1) \ ((x \ y) \ 1)),(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)).
L((x \ 1) * (((x \ y) / y) \ 1),(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)).
L((x \ 1) * ((y \ (y / x)) \ 1),(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)).
L(((x \ (x / y)) * y) \ 1,(y \ 1) \ 1,z) = z \ ((z / ((y \ 1) \ 1)) * L((y \ 1) \ 1,y \ 1,x \ 1)).
L((x * (y \ (y / x))) \ 1,(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)).
L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u.
L((x * (y \ (y / x))) \ 1,x,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)).
L((x * (y \ (y / x))) \ 1,x,z) = z \ ((z / x) * L((x \ 1) \ 1,x \ 1,y \ 1)).
L((x * (y \ (y / x))) \ 1,x,z) = z \ ((z / x) * L(x,x \ 1,y \ 1)).
x \ L(x,x \ 1,y \ 1) = (x * (y \ (y / x))) \ 1.
(x * (y \ (y / x))) \ 1 = x \ L(x,x \ 1,y \ 1).
(L(x,y,z) \ x) * L(x,u,w) = x * ((L(x,y,z) \ 1) * L(x,u,w)).
x * ((L(x,y,z) \ 1) * L(x,u,w)) = (L(x,y,z) \ x) * L(x,u,w).
x * (L(x,y,z) \ L(x,u,w)) = (L(x,y,z) \ x) * L(x,u,w).
(L(x,y,z) \ x) * L(x,u,w) = x * (L(x,y,z) \ L(x,u,w)).
x * L(T(K(y,z),K(y,u) * w),v5,v6) = K(y,v7) * ((K(y,v7) \ x) * L(T(K(y,z),w),v5,v6)).
K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),w),v5,v6)) = z * L(T(K(x,u),K(x,v7) * w),v5,v6).
K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,w) \ v5),v6,v7)) = z * L(T(K(x,u),v5),v6,v7).
x != y * L(T(z,y),u,w) | L(z,u,w) * y = x.
L(K(x,y),z,u) * w = K(x,v5) * ((K(x,v5) \ w) * L(T(K(x,y),K(x,v6) \ w),z,u)).
K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,w) \ z),v5,v6)) = L(K(x,u),v5,v6) * z.
K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5.
K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5.
x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | L(y * L(y \ 1,w,v5),z,u) = x.
L(K(x,y) * L(K(x,y) \ 1,z,u),w,v5) = K(x,v6) * (L(K(x,y),w,v5) * (K(v6,x) * L(L(K(x,y),w,v5) \ 1,z,u))).
K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w).
K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w).
(x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w.
a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x).
K(x,y) * L(K(y,x),z,u) = a(u,z * K(y,x),K(x,y)).
K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)).
T(x,a(y,z,K(x,u))) = x.
K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)).
a(x,y,K(z,u)) * K(w,z) != v5 | K(w,z) * a(x,y,K(z,u)) = v5.
L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)).
K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)).
a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w).
K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w.
K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)).
K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w).
a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u).
L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)).
L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)).
L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)).
K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w).
K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6.
L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u).
L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) != v6 | a(v5,w,L(K(x,y),z,u)) = v6.
a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5).
L(a(x,y,K(z,u)),w,v5) = a(x,y,L(K(z,u),w,v5)).
L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)).
a(x,y,a(z,u,K(y,w))) = 1.
a(x,T(y,z),a(u,w,K(y,v5))) = 1.
K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z).
a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w.
x * y != K(z,u) * (K(u,z) * w) | x \ w = y.
a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w).
L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w.
L(K(x,y),z,u) * (K(y,w) * v5) != v6 | K(y,w) * (L(K(x,y),z,u) * v5) = v6.
K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w.
K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(u,z,K(x,y)) * w = v5.
a(x,y,K(z,u)) * w = a(x,y,K(u,z)) \ w.
a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w.
x \ y != K(z,u) * (L(K(u,z),w,v5) * v6) | y / (a(v5,w,K(z,u)) * v6) = x.
x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)).
x != K(y,z) * (L(K(z,y),u,w) * 1) | a(w,u,K(y,z)) = x.
a(x,y,K(z,u)) = a(x,y,K(u,z)) \ 1.
a(x,y,K(z,u)) \ 1 = a(x,y,K(u,z)).
K(x,y) * a(z,u,K(y,w)) = a(z,u,K(w,y)) \ K(x,y).
a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)).
a(x,y,K(z,u)) * (w \ 1) = (w * a(x,y,K(u,z))) \ 1.
(x * a(y,z,K(u,w))) \ 1 = a(y,z,K(w,u)) * (x \ 1).
a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5.
a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)).
a(x,y,K(z,z * u)) = a(x,y,K(z,u)).
a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)).
a(x,y,K(z,u \ w)) = a(x,y,K(w \ u,z)).
a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)).
a(x,y,K(z,u)) \ w != v5 | a(x,y,K(u,z)) * w = v5.
L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w.
L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y).
K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u).
((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1).
R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z).
((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1).
L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z).
R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5.
R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z).
R(x * T(x \ 1,R(x,y,z)),u,w) = ((x \ 1) / (x \ R(x,u,w))) * R(x,u,w).
L(x,y,z) * R(L(x,y,z) \ 1,u,w) != v5 | L(x * R(x \ 1,u,w),y,z) = v5.
L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z).
L(x * T(x \ 1,L(x,y,z)),u,w) = ((x \ 1) / (x \ L(x,u,w))) * L(x,u,w).
L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(w \ 1,w) = u.
K(x \ 1,x) = ((y \ 1) / (y \ L(y,z,u))) * L(y,z,u).
L(x,y,z) \ 1 = (x \ 1) / (x \ L(x,y,z)).
(x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1.
(x \ 1) / (x \ L(x,y,z)) != u | (L(x,y,z) * (x \ 1)) \ (x \ 1) = u.
(L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1.
(x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1.
(x \ L(x,y,z)) \ (x \ 1) != u | (x \ 1) * (L(x,y,z) \ x) = u.
(x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1.
x * (L(x \ 1,y,z) \ (x \ 1)) = L(x \ 1,y,z) \ 1.
x * y != L(z \ 1,u,w) \ 1 | x \ R(z,u \ 1,w \ 1) = y.
x \ R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ (x \ 1).
L(x \ 1,y,z) \ (x \ 1) = x \ R(x,y \ 1,z \ 1).
T(x / y,y * (x \ y)) = y \ x.
(x * (y \ x)) * L(x \ y,z,u) != w | L(y / x,z,u) * (x * (y \ x)) = w.
L(x / y,z,u) * (y * (x \ y)) = y * (x \ (y * L(y \ x,z,u))).
x \ (x * (y \ (x * L(x \ y,z,u)))) = (L(y / x,z,u) \ y) \ x.
(L(x / y,z,u) \ x) \ y = x \ (y * L(y \ x,z,u)).
(x \ (y * L(y \ x,z,u))) \ y = T(L(x / y,z,u) \ x,y).
(x * (y \ z)) \ z != u | z \ (y * (x \ z)) = u.
x * (((x / y) * L(x,z,u)) \ x) = (L(x,z,u) \ x) * y.
((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)).
(K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u.
(x * (y \ z)) / x = T((x * (z / y)) / x,y).
T((x * (y / z)) / x,z) = (x * (z \ y)) / x.
(x * (K(y,z) * T(z,u))) / x = T((x * (z * K(T(y,u),z))) / x,u).
T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x.
(T(x,y) \ z) \ z = T((x \ z) \ z,y).
L(x,y,z / y) != u | L(x,y,y \ z) = u.
L(x \ 1,x,x \ y) = L(x \ 1,x,y).
L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y * T(x,z)).
L(x \ 1,x,y * T(x,z)) = L(x \ 1,x,y * K(x,z)).
T((x \ 1) \ 1,y) \ ((z \ 1) \ u) = T(x,y) \ ((1 / z) \ u).
L(x \ 1,x,y) \ 1 = R(x,x \ 1,(x \ y) \ 1).
R(x,x \ 1,(x \ y) \ 1) = L(x \ 1,x,y) \ 1.
x != L(y \ 1,y,z) \ 1 | L(y,y \ 1,z \ 1) = x.
L(x,x \ 1,y \ 1) = R(x,x \ 1,(x \ y) \ 1).
R(x,x \ 1,(x \ y) \ 1) = L(x,x \ 1,y \ 1).
R(x,x \ 1,y) != z | L(x,x \ 1,y) = z.
L(x,x \ 1,(x \ y) \ 1) = L(x,x \ 1,y \ 1).
L(a(x,y,z),a(x,y,z) \ 1,T(x * (y * z),a(x,y,z)) \ 1) = L(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1).
L(a(x,y,z),a(x,y,z) \ 1,T((x * (y * z)) \ 1,a(x,y,z))) = L(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1).
L(x,x \ 1,T(y,x)) != z | L(x,x \ 1,y) = z.
L(a(x,y,z),a(x,y,z) \ 1,(x * (y * z)) \ 1) = L(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1).
L(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1) = L(a(x,y,z),a(x,y,z) \ 1,(x * (y * z)) \ 1).
L(a(x,y,z),a(x,y,z) \ 1,((x * y) * z) \ 1) != u | (((x * y) * z) \ (x * (y * z))) \ 1 = u.
(((x * y) * z) \ (x * (y * z))) \ 1 = L(a(x,y,z),a(x,y,z) \ 1,(x * (y * z)) \ 1).
L(a(x,y,z),a(x,y,z) \ 1,(x * (y * z)) \ 1) = (((x * y) * z) \ (x * (y * z))) \ 1.
L(x \ 1,x,y * T(x,z)) != u | L(x \ 1,T(x,z),y) = u.
L(x \ 1,T(x,y),z) = L(x \ 1,x,z * K(x,y)).
L(x \ 1,x,y * K(x,z)) = L(x \ 1,T(x,z),y).
T((x \ 1) \ 1,y) \ ((T(z,u) \ 1) \ K(w,z)) = T(x,y) \ (T(z,u) * K(w,z)).
T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x).
T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z).
T(K(x,y) * z,y \ x) = y / (x \ ((y / z) * x)).
x / (y \ ((x / z) * y)) = T(K(y,x) * z,x \ y).
x / T(x / y,z) = T(K(z,x) * y,x \ z).
T(K(x,y) * z,y \ x) = y / T(y / z,x).
x != y / T(y / z,u) | y * T(z / y,u) = x.
x * T(y / x,z) = T(K(z,x) * y,x \ z).
T(K(x,y) * z,y \ x) = y * T(z / y,x).
(x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y.
x \ y != T((z * (u / w)) / z,w) | x * ((z * (w \ u)) / z) = y.
x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x.
((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x).
((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x).
(x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y.
x * y != (z * ((u * w) / u)) / z | ((u * ((z * w) / z)) / u) / y = x.
((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x).
x != K(y,(z * u) / z) | K(T(y,z),u) = x.
K(T(x,y),z) = ((y * ((x * z) / x)) / y) / ((y * z) / y).
((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z).
((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y).
K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y.
K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y.
K(x,y) * (y * K(z,y)) != u | (y * K(z,y)) * K(x,y) = u.
(x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y.
T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u).
T((x * (y * K(T(z,u),y))) / x,u) != w | (x * (K(z,y) * T(y,u))) / x = w.
(x * (K(y,z) * T(z,u))) / x = K(y,z * K(x,z)) * T(z * K(x,z),u).
K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z.
K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y.
K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y.
K(T(x,y),z) * T((y * z) / y,u) = (y * (T(z,u) * K(x,T(z,T(x,w))))) / y.
(x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z).
x * K(y,T(x,T(z,y))) = (y * (T(x,T(z,y)) * K(z,T(x,T(z,u))))) / y.
(x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))).
(x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)).
(x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)).
(T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)).
x * T(y,T(x,z)) = T(y,x) * T(x,T(y,z)).
T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)).
T(x,y) * T(y,T(x,z)) != u | x * T(y * K(x,y),T(x,z)) = u.
x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)).
x * y != z * T(x,u) | T(z * K(x,u),x) = y.
T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)).
T(x * K(y / z,x),z \ y) = T(x * K(z \ y,x),T(z \ y,y)).
T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z).
T(x,K(y \ z,z)) = T(x * K(z / y,x),y \ z).
T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)).
x != T(y,K(z \ u,u)) | T(y,K(u,z)) = x.
T(x,K(y,z)) = T(x * K(y / z,x),z \ y).
T(x * K(y / z,x),z \ y) = T(x,K(y,z)).
T(T(x,K(y,z)),y / z) = T(x,z \ y).
T(x * K(y,z),y / z) = T(K(y,z) * x,z \ y).
T(K(x,y) * z,y \ x) = T(z * K(x,y),x / y).
T(K(x,y) * z,y \ x) != u | y * T(z / y,x) = u.
x * T(y / x,z) = T(y * K(z,x),z / x).
T(x * K(y,z),y / z) = z * T(x / z,y).
T(x * T(y,z \ y),z / y) = y * T((x * y) / y,z).
T(x * T(y,z \ y),z / y) = y * T(x,z).
x \ y != K(T(z,u),w) * ((u * w) / u) | y / ((u * (w * K(z,w))) / u) = x.
((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)).
((x * y) / x) / ((x * (y * K(z * u,y))) / x) = K(y,T(z * (u * K(w,y)),x)).
K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w).
((x * y) / x) / ((x * (y * K(z \ 1,y))) / x) = K(y,T((z \ u) / u,x)).
K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u).
x != ((y * z) / y) / ((y * (z * K(u,z))) / y) | K(z,T(u,y)) = x.
K(x,T(y * z,u)) = K(x,T(y * (z * K(w,x)),u)).
K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)).
K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)).
K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)).
K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)).
K(x,T(y * (z * K(u,T(x,w))),v5)) != v6 | K(x,T(y * z,v5)) = v6.
K(x,T(y * x,z)) = K(x,T((x * K(u,x)) * y,z)).
K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)).
K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)).
x != K(y,T((z \ 1) * y,u)) | K(y,T(z \ y,u)) = x.
K(x,T(y \ x,z)) = K(x,T((u / (u / x)) * (y \ 1),z)).
K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)).
K(x,T(y \ 1,z)) = K(x,T((y \ u) / u,z)).
K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)).
K(x,T(y / z,u)) = K(x,T((z / y) \ 1,u)).
K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)).
K(x,T(y / z,u)) * y = y * K(x,T((y \ z) \ 1,u)).
x * K(y,T((x \ z) \ 1,u)) = K(y,T(x / z,u)) * x.
x * y != K(z,T(x / u,w)) * x | K(z,T(u \ x,w)) = y.
K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)).
K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)).
K(x,T(y \ 1,z)) != u | K(x,z \ (y \ z)) = u.
K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)).
T(x,y) * K((y \ 1) \ x,T(1 \ y,x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y).
(x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)).
(x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)).
(x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y).
(x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y).
x != T(y,z) * K(y * z,z) | z \ T(y * z,z) = x.
x \ T(y * x,x) = (y \ ((x \ 1) \ y)) \ T((x \ 1) \ y,x).
(x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y).
L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)).
K(x,x * y) = (z * (x \ T(y * x,x))) \ (z * T(y,x)).
(x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z).
(x * (y \ T(z * y,y))) \ (x * T(z,y)) != u | L(K(y,y * z),z,x) = u.
L(K(x,x * y),y,z) = K(x,x * y).
x \ y != K(z,z * u) | y / L(K(z,z * u),u,w) = x.
1 / L(K(x,x * y),y,z) = K(x * y,x).
L(K(x * y,x),y,z) = K(x * y,x).
x != R(y,z,u) * (y \ 1) | y \ R(y,z,u) = x.
x \ R(x,y,z) = (x \ 1) * R((x \ 1) \ 1,y,z).
(x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z).
(x * R(y,z,u)) / x = R((x * y) / x,z,u).
((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w.
(x * R(y,z,u)) / x = R(y * K(x,y),z,u).
R(x * K(y,x),z,u) = (y * R(x,z,u)) / y.
(x * (y / (z * y))) / x = R((x * (1 / z)) / x,z,y).
R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x.
R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y).
R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)).
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 \ x) = K(R(x,y,z),x * (u \ 1)).
K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x).
K(x * K(y,x),(y / (y / x)) * (z \ 1)) = K(R(y / (y / x),x \ y,x),z \ (y / (y / x))).
K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)).
K(x,T((y / (y / x)) * (z \ 1),y)) = K(R(y / (y / x),x \ y,x),z \ (y / (y / x))).
K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)).
K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)).
K(x,T(y \ (z / (z / x)),z)) = K(x,T((z / (z / x)) * (y \ 1),z)).
K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)).
K(x,T((y / (y / x)) * (z \ 1),u)) != w | K(x,T(z \ x,u)) = w.
K(x,T(y \ x,z)) = K(x,T(y \ (z / (z / x)),z)).
K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)).
K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)).
(((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y.
(x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y.
(((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y.
(x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u.
(x * ((y / z) / x)) * z = y * K(x,(x * z) \ y).
(x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)).
x * (y * ((x \ z) / y)) = z * K(y,x \ (y \ z)).
x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)).
x != (y * ((1 / z) / y)) * z | K(y,z \ (y \ 1)) = x.
K(x,y \ (x \ 1)) = y * (x * ((y \ 1) / x)).
x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)).
(x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)).
x * y != (x * z) * (u * (((x * z) \ x) / u)) | K(u,z \ (u \ 1)) = y.
K(x,y \ (x \ 1)) = K(x,(z * y) \ (x \ z)).
K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)).
(x * K(y,z \ (y \ 1))) \ x = K((u * z) \ (y \ u),y).
K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u.
K(x \ (y \ 1),y) = K((z * x) \ (y \ z),y).
K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z).
K(x \ (y \ z),y) = K((z \ x) \ (y \ 1),y).
K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z).
K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x).
K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x).
K(L(x * (y \ z),x \ 1,y) \ 1,x) != u | K(z \ (y * (x \ 1)),x) = u.
K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z).
x \ (L(y,z,u) * (y \ x)) = (y * x) \ (x * L(T(y,x),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 * (L(x,y,z) \ u)) \ u = (L(x,y,z) \ u) \ (L(x,y,z) * (x \ (L(x,y,z) \ u))).
(L(x,y,z) \ u) \ (L(x,y,z) * (x \ (L(x,y,z) \ u))) = (x * (L(x,y,z) \ u)) \ u.
((x \ 1) * y) \ (L(x \ 1,x,y) * y) = y \ ((x \ 1) \ (x \ y)).
((x \ 1) * y) \ (x \ y) = y \ ((x \ 1) \ (x \ y)).
x \ y != ((z \ 1) * u) \ (z \ u) | x * a(z,z \ 1,u) = y.
x * a(y,y \ 1,x) = (y \ 1) \ (y \ x).
x != (y * (z \ u)) \ u | u \ (z * (y \ u)) = x.
x \ (L(y,z,u) * (y \ x)) = (L(y,z,u) \ x) \ (L(y,z,u) * (y \ (L(y,z,u) \ x))).
(L(x,y,z) \ u) \ (L(x,y,z) * (x \ (L(x,y,z) \ u))) = u \ (L(x,y,z) * (x \ u)).
(L(x,y,z) \ u) \ (x \ u) = u \ (L(x,y,z) * (x \ u)).
x * (((x / y) * L(x,z,u)) \ x) != w | x \ ((L(x,z,u) \ x) * (x * y)) = w.
x \ ((L(x,y,z) \ x) * (x * u)) = (L(x,y,z) \ x) * u.
x \ ((L(x,y,z) \ x) * u) = (L(x,y,z) \ x) * (x \ u).
x * ((L(x,y,z) \ x) * (x \ u)) = (L(x,y,z) \ x) * u.
x * y != (L(x,z,u) \ x) * L(x,w,v5) | L(x,z,u) \ L(x,w,v5) = y.
L(x,y,z) \ L(x,u,w) = (L(x,y,z) \ x) * (x \ L(x,u,w)).
(L(x,y,z) \ x) * (x \ L(x,u,w)) = L(x,y,z) \ L(x,u,w).
(L(x,y,z) \ L(x,u,w)) \ (x \ L(x,u,w)) = (x \ L(x,u,w)) \ ((L(x,y,z) \ x) \ (x \ L(x,u,w))).
(x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = (L(x,u,w) \ L(x,y,z)) \ (x \ L(x,y,z)).
x != (L(y,z,u) \ w) \ (y \ w) | w \ (L(y,z,u) * (y \ w)) = x.
L(x,y,z) \ (L(x,u,w) * (x \ L(x,y,z))) = (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))).
(x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = L(x,y,z) \ (L(x,u,w) * (x \ L(x,y,z))).
x != L(y,z,u) \ (L(y,w,v5) * (y \ v6)) | y \ (L(y,z,u) \ (L(y,w,v5) * v6)) = x.
x \ (L(x,y,z) \ (L(x,u,w) * L(x,y,z))) = (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))).
(x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ (L(x,y,z) \ (L(x,u,w) * L(x,y,z))).
(x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ T(L(x,u,w),L(x,y,z)).
(x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ L(T(x,L(x,y,z)),u,w).
(x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ L(x,u,w).
x \ y != (z \ L(z,u,w)) \ ((L(z,v5,v6) \ z) \ (z \ L(z,u,w))) | x * (z \ L(z,v5,v6)) = y.
(L(x,y,z) \ L(x,u,w)) * (x \ L(x,y,z)) = x \ L(x,u,w).
T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y.
x / y != T(z / u,w) * u | (u * T(u \ z,w)) * y = x.
(x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z).
(x * T(y,z)) * (x \ 1) = T((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).
K((x * y) * (x \ 1),y) = 1.
K(((1 / x) * y) * x,y) = 1.
K(x * y,(1 / y) \ x) = 1.
K(x,1) * (y * z) = T(y * z,K(x,(1 / z) \ y)).
T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y).
x * y = T(x * y,K(z,(1 / y) \ x)).
T(x * y,K(z,(1 / y) \ x)) = x * y.
T(x * y,K(z,(y \ 1) \ x)) = x * y.
(x * y) * K((y \ 1) \ x,z) != (x * y) * u | T(K((y \ 1) \ x,z),x * y) = u.
T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z).
L(x,y,y \ 1) \ (1 * x) = a(y \ 1,y,x).
L(x,y,y \ 1) \ x = a(y \ 1,y,x).
L(x,y,y \ 1) \ x != z | x * (y * ((x * y) \ 1)) = z.
x * (y * ((x * y) \ 1)) = a(y \ 1,y,x).
a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1).
((x / y) * (y * (y \ 1))) / (y \ 1) = x * a(y \ 1,y,x).
x != y \ L(y,z,z \ 1) | a(y,z,z \ 1) = x.
a(x,y,y \ 1) = a(y \ 1,y,x) \ 1.
a(x \ 1,x,y) \ 1 = a(y,x,x \ 1).
a(x,y,y \ 1) \ 1 = a(y \ 1,y,x).
(x / y) / (y \ 1) = x * a(y \ 1,y,x).
x * a(y \ 1,y,x) = (x / y) / (y \ 1).
x != (y / z) / (z \ 1) | (z \ 1) \ (z \ y) = x.
(x \ 1) \ (x \ y) = y * a(x \ 1,x,y).
x * a(y \ 1,y,x) = (y \ 1) \ (y \ x).
x * y != (z / u) / (u \ 1) | x \ ((u \ 1) \ (u \ z)) = y.
x \ ((y \ 1) \ (y \ x)) = a(y \ 1,y,x).
x \ ((y \ 1) \ (y \ x)) != z | (x * (y \ 1)) \ (x / y) = z.
(x * (y \ 1)) \ (x / y) = a(y \ 1,y,x).
x \ y != a(z \ 1,z,x) | z \ ((z \ 1) \ x) = y.
x \ ((x \ 1) \ y) = (x \ 1) \ (x \ y).
(x \ 1) \ (x \ y) = x \ ((x \ 1) \ y).
(x \ 1) \ (x \ y) != z | y * a(x,x \ 1,y) = z.
x * a(y,y \ 1,x) = y \ ((y \ 1) \ x).
(x \ ((x \ 1) \ y)) \ 1 = ((x \ y) \ 1) / x.
x * y != z \ ((z \ 1) \ x) | a(z \ 1,z,x) = y.
a(x \ 1,x,y) = a(x,x \ 1,y).
a(x \ 1,x,y) != z | a(y,x,x \ 1) \ 1 = z.
a(x,y,y \ 1) \ 1 = a(y,y \ 1,x).
a(x \ 1,x,y) != z | L(y,x,x \ 1) \ y = z.
L(x,y,y \ 1) \ x = a(y,y \ 1,x).
a(x,x \ 1,y) \ 1 = a(y,x,x \ 1).
x * (y * ((x * y) \ 1)) = a(y,y \ 1,x).
x \ ((y \ 1) \ z) != a(y,y \ 1,(y \ 1) \ z) | y * z = x.
x * y = L((x \ 1) \ y,x,x \ 1).
L((x \ 1) \ y,x,x \ 1) = x * y.
x * ((x \ 1) * y) = L(y,x,x \ 1).
x != ((y \ z) \ 1) / y | y \ ((z / y) \ 1) = x.
x \ ((y / x) \ 1) = (x \ ((x \ 1) \ y)) \ 1.
(x \ ((x \ 1) \ y)) \ 1 = x \ ((y / x) \ 1).
L(T(x,y \ 1),y,y \ 1) = y * (x * (y \ 1)).
(x \ ((y \ 1) * (y * x))) \ (y \ 1) = T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1).
T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = (x \ ((y \ 1) * (y * x))) \ (y \ 1).
L(x / y,x,x \ 1) = x * ((y \ x) * (x \ 1)).
x * ((y \ x) * (x \ 1)) = L(x / y,x,x \ 1).
L(x / y,x,x \ 1) \ x = x \ (x \ ((x * x) * y)).
x \ y != L(x / z,x,x \ 1) \ x | (x * x) * (x \ z) = y.
(x * x) * (x \ y) = x \ ((x * x) * y).
x \ ((x * x) * y) = (x * x) * (x \ y).
x \ ((x * x) * (x \ y)) != z | L(x / y,x,x \ 1) \ x = z.
L(x / y,x,x \ 1) \ x = (x * x) * (x \ (x \ y)).
x * y != z \ ((z * z) * u) | x \ ((z * z) * (z \ u)) = y.
(x * y) \ ((x * x) * (x \ y)) = a(x,x,y).
a(x,x,x \ y) = a(x,x,y).
L(a(x,x,y) \ 1,a(x,x,x \ y),z) = ((x * x) * (x \ y)) \ (x * (x * (x \ y))).
L(a(x,x,y) \ 1,a(x,x,x \ (x \ y)),z) = ((x * x) * (x \ (x \ y))) \ (x * (x * (x \ (x \ y)))).
a(x,x,y) \ 1 = ((x * x) * (x \ (x \ y))) \ (x * (x * (x \ (x \ y)))).
((x * x) * (x \ (x \ y))) \ (x * (x * (x \ (x \ y)))) = a(x,x,y) \ 1.
L(x,y \ 1,y) = L(x,y,y \ 1).
x \ L(y,x,x \ 1) = (x \ 1) * y.
x * ((x \ 1) * y) != z | (y * (x \ 1)) * x = z.
(x * (y \ 1)) * y = L(x,y,y \ 1).
x * ((y * x) \ 1) = L(y \ 1,x,x \ 1).
L(x \ 1,y,y \ 1) = y * ((x * y) \ 1).
x != y * K(z,u / y) | T(u * T(u \ y,z),y \ 1) = x.
T(x * T(x \ (y \ 1),z),(y \ 1) \ 1) = y \ L(K(z,x / (y \ 1)),y,y \ 1).
L(x / (y \ 1),y \ 1,y) != z | x * y = z.
x * y = L(x / (y \ 1),y,y \ 1).
L(x / (y \ 1),y,y \ 1) = x * y.
L(x,y,z) * (u * ((L(x,y,z) * u) \ 1)) = L(x * L(x \ 1,u,u \ 1),y,z).
(x * (y * ((x * y) \ 1))) * (x \ y) = y * ((y \ 1) * (x \ y)).
x * L(x \ 1,y,y \ 1) = a(y,y \ 1,x).
L(x,y,y \ 1) / y != z | x * (y \ 1) = z.
x * (y * ((x * y) \ 1)) != z | a(y,y \ 1,x) = z.
a(x,x \ 1,L(y,z,u)) = L(y * L(y \ 1,x,x \ 1),z,u).
L(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)).
L(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,L(x,z,u)).
L(a(x,x \ 1,y),z,u) = a(x,x \ 1,L(y,z,u)).
a(x,x \ 1,L(y,z,u)) \ (u * (z * a(x,x \ 1,y))) = T(u * z,L(a(x,x \ 1,y),z,u)).
a(x,x \ 1,L(y,z,u)) \ (u * (z * a(x,x \ 1,y))) = T(u * z,a(x,x \ 1,L(y,z,u))).
a(x,x \ 1,y) * (y \ x) = x * ((x \ 1) * (y \ x)).
x != y * ((y \ 1) * z) | L(z,y,y \ 1) = x.
L(x \ y,y,y \ 1) = a(y,y \ 1,x) * (x \ y).
a(x,x \ 1,y) * (y \ x) = L(y \ x,x,x \ 1).
(x * (a(y,y \ 1,x) \ y)) / y = y / L(x \ y,y,y \ 1).
K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x).
x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w).
L(a(x \ 1,x,y),z,L(y * x,u,w)) = y * (x * ((y * x) \ 1)).
(((x \ y) \ 1) * (x \ 1)) * L(((x \ 1) \ 1) * (x \ y),z,u) = ((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)).
((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (((x \ y) \ 1) * (x \ 1)) * L(((x \ 1) \ 1) * (x \ y),z,u).
(x / y) \ L(x / y,y,y \ 1) = a(y \ 1,y,x) \ 1.
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).
T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z).
a(x \ 1,y,y \ 1) = a(y,y \ 1,x).
a(x,y,y \ 1) != z | a(y,y \ 1,x) \ 1 = z.
a(x,x \ 1,y \ 1) \ 1 = a(x,x \ 1,y).
a(x,y,y \ 1) = a(y,y \ 1,x \ 1).
a(x,x \ 1,y \ 1) = a(y,x,x \ 1).
T(x * T(x \ (y \ 1),z),y) = y \ L(K(z,x / (y \ 1)),y,y \ 1).
T(x * T(x \ (y \ 1),z),y) = y \ K(z,L(x / (y \ 1),y,y \ 1)).
T(x * T(x \ (y \ 1),z),y) = y \ K(z,x * y).
K(x,K(y,z / (x \ 1))) * (x \ K(y,z * x)) = K(y,z / (x \ 1)) * (x \ 1).
x != K(y,z / u) * u | u * K(y,u \ z) = x.
(x \ 1) * K(y,(x \ 1) \ z) = K(x,K(y,z / (x \ 1))) * (x \ K(y,z * x)).
K(x,K(y,z / (x \ 1))) * (x \ K(y,z * x)) = (x \ 1) * K(y,(x \ 1) \ z).
K(x,K(y,z * x)) * (x \ K(y,z * x)) = (x \ 1) * K(y,(x \ 1) \ z).
K(x,y * z) / z = (z \ 1) * K(x,(z \ 1) \ y).
(x \ 1) * K(y,(x \ 1) \ z) = K(y,z * x) / x.
(x \ 1) * K(y,(x \ 1) \ (z / x)) != u | ((z / x) \ T(z,y)) \ 1 = u.
((x / y) \ T(x,z)) \ 1 = K(z,(x / y) * y) / y.
((x / y) \ T(x,z)) \ 1 = K(z,x) / y.
x != y * (z * ((y * z) \ 1)) | a(z \ 1,z,y) = x.
a(x \ 1,x,y) = L(a(x \ 1,x,y),z,L(y * x,u,w)).
L(a(x \ 1,x,y),z,L(y * x,u,w)) = a(x \ 1,x,y).
L(a(x,x \ 1,y),z,L(y * x,u,w)) = a(x \ 1,x,y).
a(x \ 1,x,y) != z | z = a(x,x \ 1,y).
a(x \ 1,x,y) != z | a(x,x \ 1,y) = z.
K(x \ (y * (z \ 1)),z) != u | K(x \ (z \ y),z) = u.
K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x).
x != K(y \ T(z,u \ 1),u) | K(y \ z,u) = x.
K(x \ y,z) = K(((z \ 1) * x) \ (z \ y),z).
K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x).
K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x).
K((x * (y \ 1)) \ z,y) = K(T(x,y \ 1) \ (z * y),y).
K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y).
K(T(x,y \ 1) \ z,y) != u | K(x \ z,y) = u.
K(x \ (y * z),z) = K((x * (z \ 1)) \ y,z).
K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y).
K((x * (y \ 1)) \ (x * z),y) != u | L(K(y * z,y),z,x) = u.
L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x).
L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x).
L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x).
L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x).
x != K(L(y \ z,T(y,u),u),z) | K(y \ z,z) = x.
K(x \ y,y) = L(K(y * ((z * x) \ z),y),(z * x) \ z,x * z).
L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x).
L(K(x * y,x),y,z) != u | K(x * y,x) = u.
K(x * ((y * z) \ y),x) = K(z \ x,x).
K(x * (y \ z),x) = K((z \ y) \ x,x).
K((x \ y) \ z,z) = K(z * (y \ x),z).
K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u.
K(x * (y \ 1),x) != z | K(y \ x,x) = z.
((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = ((x * (x \ y)) \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u).
((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (y \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u).
((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (y \ 1) * L(x * (x \ y),z,u).
((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (y \ 1) * L(y,z,u).
x != (y \ 1) * L(y,z,u) | y \ L(y,z,u) = x.
x \ L(x,y,z) = ((u \ x) \ 1) * ((u \ 1) * L(x * a(u \ 1,u,x),y,z)).
((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = y \ L(y,z,u).
((x \ y) \ 1) * ((x \ 1) * L((x \ 1) \ (x \ y),z,u)) = y \ L(y,z,u).
L(x,y,y \ 1) \ x != z | a(y,y \ 1,x) = z.
L(a(x,x \ 1,y),z,L(y * x,u,w)) != v5 | a(x,x \ 1,y) = v5.
T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = (x \ L(x,y,y \ 1)) \ (y \ 1).
T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = a(x,y,y \ 1) \ (y \ 1).
T((x * y) \ x,y \ 1) = a(x,y,y \ 1) \ (y \ 1).
T(x \ (x / y),y \ 1) = a(x,y,y \ 1) \ (y \ 1).
(x \ (x / y)) \ (y \ 1) = a(x,y,y \ 1).
x != a(y \ 1,y,z) \ 1 | a(z,y,y \ 1) = x.
a(x,y,y \ 1) = (x / y) \ L(x / y,y,y \ 1).
(x / y) \ L(x / y,y,y \ 1) = a(x,y,y \ 1).
a(x / y,y,y \ 1) = a(x,y,y \ 1).
a(x,y,y \ 1) = a(x * y,y,y \ 1).
a(x * y,y,y \ 1) = a(x,y,y \ 1).
x \ y != a(z * u,u,u \ 1) | x * a(z,u,u \ 1) = y.
(x * y) * a(x,y,y \ 1) = ((x * y) * y) * (y \ 1).
x \ (y * L(y \ z,u,w)) = (x \ y) * L((x \ y) \ (x \ z),u,w).
(x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)).
T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)).
((x \ y) \ 1) * (x \ (1 * L(1 \ y,z,u))) = y \ L(y,z,u).
((x \ y) \ 1) * (x \ (1 * L(y,z,u))) = y \ L(y,z,u).
((x \ y) \ 1) * (x \ L(y,z,u)) = y \ L(y,z,u).
(x \ L(x,y,z)) * (L(x,y,z) \ L(x,u,w)) = x \ L(x,u,w).
(L(x,y,z) \ L(x,u,w)) * v5 != x \ L(x,u,w) | T(x \ L(x,y,z),L(x,y,z) \ L(x,u,w)) = v5.
T(x \ L(x,y,z),L(x,y,z) \ L(x,u,w)) = x \ L(x,y,z).
T(x \ y,y \ z) != u | T(x \ y,x \ z) = u.
T(x \ L(x,y,z),x \ L(x,u,w)) = x \ L(x,y,z).
T(x \ L(x,y,z),L(x,u,w) \ x) = x \ L(x,y,z).
T(L(x,y,z) \ x,x \ L(x,u,w)) = L(x,y,z) \ x.
T(L(x \ 1,x,y) \ (x \ 1),(x \ 1) \ L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1).
T(x \ R(x,x \ 1,y \ 1),(x \ 1) \ L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1).
T(x \ L(x,x \ 1,y \ 1),(x \ 1) \ L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1).
T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1).
T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = L(x \ 1,x,y) \ (x \ 1).
x != L(y \ 1,z,u) \ (y \ 1) | y \ R(y,z \ 1,u \ 1) = x.
x \ R(x,x \ 1,y \ 1) = T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)).
T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = x \ R(x,x \ 1,y \ 1).
T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = x \ L(x,x \ 1,y \ 1).
T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) != w | (y \ (y / x)) \ (x \ 1) = w.
(x \ (x / y)) \ (y \ 1) = y \ L(y,y \ 1,x \ 1).
(x \ (x / y)) \ (y \ 1) != z | a(x,y,y \ 1) = z.
a(x,y,y \ 1) = y \ L(y,y \ 1,x \ 1).
x \ L(x,x \ 1,y \ 1) = a(y,x,x \ 1).
x \ L(x,x \ 1,y \ 1) != z | (x * (y \ (y / x))) \ 1 = z.
(x * (y \ (y / x))) \ 1 = a(y,x,x \ 1).
x \ 1 != a(y,z,z \ 1) | a(z,z \ 1,y) = x.
a(x,x \ 1,y) = x * (y \ (y / x)).
x * (y \ (y / x)) = a(x,x \ 1,y).
x * L(x \ 1,x,y) = a(x,x \ 1,y).
x * (y \ (y / x)) != z | L(y * x,x,y) \ (y * x) = z.
L(x * y,y,x) \ (x * y) = a(y,y \ 1,x).
T(x,a(y,y \ 1,z)) = x.
x * y != L(z * u,u,z) \ (z * u) | x \ a(u,u \ 1,z) = y.
(x * y) \ a(y,y \ 1,x) = L(x * y,y,x) \ 1.
T(x,a(y,z,z \ 1)) = x.
T(x,a(y,z \ 1,z)) = x.
T(a(x,y \ 1,y),z) = a(x,y \ 1,y).
T(x,y) * L(T(x,y) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)).
x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w).
x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w).
T(x * L(x \ (y / z),u,w),z) = T(x,z) * L(T(x,z) \ (z \ y),u,w).
T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y).
T(x,y) * L(T(x,y) \ z,u,w) = T(x * L(x \ ((y * z) / y),u,w),y).
T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w).
T(x * L(x \ y,z,u),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).
T(x,y) * L(x \ T(z,x),u,w) != v5 | T(T(x,y) * L(x \ z,u,w),x) = v5.
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(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).
(x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) != w | K(x * L(y,z,u),x * y) = w.
T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u).
T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y).
T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y).
R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x).
R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y).
T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y).
T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y).
T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y).
T(K(x * y,z),x) = R(K((y \ 1) \ x,z),x,y).
R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y).
R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y).
R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) != w | K(L(y,z,u) * (x \ 1),y) = w.
R(x,y \ 1,y) * K(z \ 1,z) != u * w | u \ ((x * (y \ 1)) * y) = w.
K(x \ 1,x) \ ((y * (z \ 1)) * z) = R(y,z \ 1,z).
x / y != R((z * (1 / u)) / z,u,w) | ((z * (w / (u * w))) / z) * y = x.
((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) / ((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.
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u.
K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u.
R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 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 * z)) = R(K(x,y / u),y,z).
R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)).
R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)).
K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z).
K(x,R(y,y \ z,u)) = R(K(x,y),z,u).
x * y != ((z * u) * w) * K(u * w,R(z,u,w)) | x \ ((u * w) * R(z,u,w)) = y.
R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)).
R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))).
(x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))).
(x * y) \ ((y * K(x,z)) * x) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))).
K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x).
K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)).
K(x,y) * K(z * K(x,y),x) = (x * z) \ (z * T(x,y)).
(x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x).
(x * y) \ (y * T(x,z)) = K(x,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,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1).
L(x * (L(x,y,z) \ u),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * (x * u)).
L((x * y) * ((x * y) \ a(y,y \ 1,x)),L(x * y,y,x),x * y) = (x * (y * (x * y))) \ ((x * y) * ((x * y) * 1)).
L(a(x,x \ 1,y),L(y * x,x,y),y * x) = (y * (x * (y * x))) \ ((y * x) * ((y * x) * 1)).
L(L(x,y,z),u,w) != v5 | L(L(x,u,w),y,z) = v5.
L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y).
L(x \ 1,x,y) = (K(x,z) * (y * x)) \ (K(x,z) * y).
(K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z).
L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z).
L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y).
L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u.
L(x \ 1,T(x,y),z) = L(x \ 1,x,z).
L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y).
L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y).
L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z).
L((x \ 1) * L((x \ 1) \ 1,y,z),x,u) = L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,w),u).
L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w).
L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w).
L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w).
a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)).
(x * L(x,y,z)) \ (x * (L(x,y,z) * u)) = L(u,x,L(x,y,z)).
L(x,L(y,z,u),y) = L(x,y,L(y,z,u)).
L(a(x,x \ 1,y),L(y * x,x,y),y * x) != z | (y * (x * (y * x))) \ ((y * x) * ((y * x) * 1)) = z.
(x * (y * (x * y))) \ ((x * y) * ((x * y) * 1)) = L(a(y,y \ 1,x),x * y,L(x * y,y,x)).
L(a(x,x \ 1,y),y * x,L(y * x,x,y)) = (y * (x * (y * x))) \ ((y * x) * ((y * x) * 1)).
a(x,x \ 1,y) = (y * (x * (y * x))) \ ((y * x) * ((y * x) * 1)).
(x * (y * (x * y))) \ ((x * y) * ((x * y) * 1)) = a(y,y \ 1,x).
(x * (y * (x * y))) \ ((x * y) * (x * y)) = a(y,y \ 1,x).
a(x,x \ 1,y) != z | a(y,x,y * x) = z.
(K(x \ 1,x) * y) \ ((y * (z \ 1)) * z) = a(y,z \ 1,z).
L(x \ (K(y \ 1,y) \ ((x * (z \ 1)) * z)),x,K(y \ 1,y)) = a(x,z \ 1,z).
L(x \ R(x,y \ 1,y),x,K(z \ 1,z)) = a(x,y \ 1,y).
x \ R(x,y \ 1,y) = a(x,y \ 1,y).
K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z).
x != a(y,z \ 1,z) | T(a(y,z \ 1,z),u) = x.
T(a(x,y \ 1,y),z) = x \ R(x,y \ 1,y).
T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z).
T(K(x,y) * R(K(y,x),z,u),w) != v5 | K(x,T(y,w)) * R(K(y,T(x,w)),z,u) = v5.
K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u).
K(x,T(y,z)) * u != w | K(z,K(y,x)) * (K(x,y) * u) = w.
K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u).
((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y).
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(K(y,z),u,w)) \ x = K(z,R(y,y \ u,w)).
K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w.
K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y).
K((x * y) / (z * y),u) = R(K(x / z,u),x,y).
R(K(x / y,z),x,u) = K((x * u) / (y * u),z).
R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u).
R(K(x / (y / z),u),x,z) = K((x * z) / y,u).
K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w.
R(K(x,y),z,u) = (w * R(K(y,x),z,u)) \ w.
(x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w).
x / y != (z * R(K(u,w),v5,v6)) \ z | R(K(w,u),v5,v6) * y = x.
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 != R(y,z,u) * (z * u) | (y * z) * u = x.
(K(x,y) * z) * u = R(K(y,x),z,u) \ (z * u).
R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u.
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.
((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u).
R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z).
K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z).
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(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
R(x * T(x \ 1,R(x,y,z)),u,w) != v5 | ((x \ 1) / (x \ R(x,u,w))) * R(x,u,w) = v5.
((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,u,w)).
K(R(x,y,z) \ 1,R(x,u,w)) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z).
((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u).
((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z).
R(x,y,z) \ 1 = (x \ 1) / (x \ R(x,y,z)).
(x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1.
(x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1.
(x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z).
(x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z).
1 * (x \ R(T(x,y),z,u)) = K(R(x,z,u),y) * (x \ R(x,z,u)).
K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)).
x != 1 * y | y = x.
x \ R(T(x,y),z,u) = K(R(x,z,u),y) * (x \ R(x,z,u)).
K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z).
K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u).
K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w).
K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w).
K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w).
x * (K(y,z) * R(K(z,T(y,u)),w \ 1,w)) != K(z,y) \ R(K(z,y),w \ 1,w) | K(u,K(z,y)) = x.
K(x,K(y,z)) = K(x,K(z,R(y,u \ 1,u))).
K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)).
K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)).
x != K(y,K(z,u)) | K(y,K(u,z)) = x.
K(x,K(y,z)) = K(x,K(y,R(z,u,u \ 1))).
K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)).
K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)).
K(x,K(y,z)) * K(y,x * L(z,u,u \ 1)) = K(y,L(z,u,u \ 1) * x).
K(x,L(y,z,z \ 1) * u) != K(u,K(x,y)) * w | K(x,u * L(y,z,z \ 1)) = w.
(L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w).
(L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u).
K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z).
R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y).
R(K(x,y),L(y,z,u),w) = K(x,y).
K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x).
R(K(x / (y / z),u),x,z) != w | K((x * z) / y,u) = w.
K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x).
x != K(L(y,z,u) / w,y) | K(w \ L(y,z,u),y) = x.
K((x / y) \ L(z,u,w),z) = K((L(z,u,w) * y) / x,z).
K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x).
K((L(x,y,z) * u) / w,x) != v5 | K((((L(x,y,z) \ w) \ u) \ u) \ u,x) = v5.
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x).
K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x).
K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y).
K(x * (y \ 1),x) = K(y \ L(x,z,u),x).
K(x \ L(y,z,u),y) = K(y * (x \ 1),y).
K(x \ L(y,z,u),y) != w | K(x \ y,y) = w.
K((x / y) \ z,z) = K(y / (L(z,u,w) \ x),z).
K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y).
R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y).
R(K(x,y),y,z) != u | K(x,y) = u.
K(x \ (y \ z),z / y) = K(z / (x * y),z / y).
K(x / (y * z),x / z) = K(y \ (z \ x),x / z).
K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y).
((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y).
(x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u).
(T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y).
K(x \ y,x \ (z \ y)) = K(x \ y,(z * x) \ y).
K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)).
K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x).
K(x / y,z \ (y \ x)) != u | K(x / y,z \ (x / y)) = u.
K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x).
x != K(y \ z,(u * y) \ z) | K(y \ z,y \ (u \ z)) = x.
K(x \ y,x \ (z \ y)) = K(y / x,z \ (y / x)).
K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)).
K(x / (x / y),z \ (x / (x / y))) != u | K(y,T(z \ y,x)) = u.
K(x,T(y \ x,z)) = K((z / x) \ z,(z / x) \ (y \ z)).
K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)).
K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)).
K(x,(y / x) \ z) != u | K(x,y \ (x * z)) = u.
K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)).
K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u.
K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)).
K(x,y \ (z * x)) = K(x,T((y / z) \ x,y)).
K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)).
T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u.
K(x,(y * x) / z) != 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,(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)).
K(x,(x / L(y,z,u)) * y) != w | a(u,z,K(x / L(y,z,u),y)) = w.
a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)).
K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)).
K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)).
K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)).
K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u.
K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)).
K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)).
K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)).
x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))).
K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w).
x != y / (a(z,u,K(w,v5)) * y) | a(z,u,K(v5,w)) = x.
a(x,y,K(z,u)) = K(u,u * (z \ L(z,y,x))).
K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)).
x \ y != K(z,z * (u \ L(u,w,v5))) | x * a(v5,w,K(u,z)) = y.
x * a(y,z,K(u,x)) = T(x,x * (u \ L(u,z,y))).
T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)).
a(x,y,a(z,u,K(w,v5))) = a(x,y,K(v5,w \ L(w,u,z))).
a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))).
a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5.
a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))).
a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)).
1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)).
K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)).
K(x,L(y \ L(y,z,u),y,u * z)) != w | K(x,a(u,z,y) \ 1) = w.
K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)).
x \ y != K(z,a(u,w,v5) \ 1) | x * K(z,v5 \ L(v5,w,u)) = y.
x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1).
T(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1).
T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)).
L(T(x,a(y,z,u) \ 1),w,x) = T(x,x * (u \ L(u,z,y))).
T(x,x * (y \ L(y,z,u))) = L(T(x,a(u,z,y) \ 1),w,x).
K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u).
K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u).
K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1.
x != y * 1 | y = x.
K(a(x,y,z),u) = K(L(z,y,x) \ z,u).
K(L(x,y,z) \ x,u) = K(a(z,y,x),u).
T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(a(z,u,w),x)) = K(x,L(w,u,z) \ w).
K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)).
x != T((y \ 1) \ 1,z) / ((T(y,z) \ 1) \ K(u,y)) | K(y,u) = x.
K(x,a(y,z,u)) = K(x,L(u,z,y) \ u).
K(x,L(y,z,u) \ y) = K(x,a(u,z,y)).
x \ y != K(z,L(u,w,v5) \ u) | x * K(z,a(v5,w,u)) = y.
x * K(x,a(y,z,u)) = T(x,L(u,z,y) \ u).
T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)).
T(x,a(y,z,u)) = T(x,L(u,z,y) \ u).
T(x,L(y,z,u) \ y) = T(x,a(u,z,y)).
T(x,L(x,y,z) \ x) != u | x = u.
x = T(x,a(y,z,x)).
T(x,a(y,z,x)) = x.
T(a(x,y,z),z) = a(x,y,z).
(x * (y * a(z,u,y))) \ ((x * a(z,u,y)) * y) = a(x,a(z,u,y),T(y,a(z,u,y))).
(x * (y * a(z,u,y))) \ ((x * a(z,u,y)) * y) = a(x,a(z,u,y),y).
(T(a(x,y,z),z) * u) \ (z \ (a(x,y,z) * (z * u))) = a(z,a(x,y,z),u).
(a(x,y,z) * u) \ (z \ (a(x,y,z) * (z * u))) = a(z,a(x,y,z),u).
T(x,x * (y \ L(y,z,u))) != w | L(T(x,a(u,z,y) \ 1),v5,x) = w.
L(T(x,a(y,z,u) \ 1),w,x) = x * a(y,z,K(u,x)).
T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)).
x * a(y,z,K(u,x)) = T(x,a(y,z,u) \ x).
x * y != T(x,z \ x) | K(z,x) = y.
K(a(x,y,z),u) = a(x,y,K(z,u)).
a(x,y,K(z,u \ w)) * u = u * K(a(x,y,z),w / u).
a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w.
x != a(y,z,K(u,w)) \ 1 | K(w,a(y,z,u)) = x.
K(x,a(y,z,u)) = a(y,z,K(x,u)).
x != a(y,z,K(z,u)) | 1 = x.
1 = K(x,a(y,x,z)).
K(x,a(y,x,z)) = 1.
x \ y != K(z,a(u,w,v5)) | x * a(u,w,K(z,v5)) = y.
x * a(y,z,K(x,u)) = T(x,a(y,z,u)).
x / y != K(z,a(u,w,v5)) | a(u,w,K(z,v5)) * y = x.
a(x,y,K(z,u)) * z = T(z,a(x,y,u)).
a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),z \ a(x,y,u)).
(x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5.
T(x,a(y,x,z)) = x.
x \ y != T(z,a(u,z,w)) | x * z = y.
a(x,y,z) * y = y * a(x,y,z).
(x * (y * a(z,y,u))) \ ((x * a(z,y,u)) * y) = a(x,a(z,y,u),y).
x * y != T(y,a(z,z \ 1,u)) | 1 = x.
1 = a(x,x \ 1,K(y,z)).
a(x,x \ 1,K(y,z)) = 1.
x != T(y,z \ y) | T(y,z \ 1) = x.
T(a(x,y,z),u \ 1) = a(x,y,K(u,z)) * a(x,y,z).
a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),z \ 1).
a(x,y,K(z,u \ w)) * u = u * a(x,y,K(z,w / u)).
x * y != a(z,z \ 1,K(u,w)) | x \ 1 = y.
x \ 1 = L(x \ 1,x,K(y,z)).
L(x \ 1,x,K(y,z)) = x \ 1.
(x \ 1) * K(y,z) = x \ K(y,z).
((x / y) \ x) * z != u | y * z = u.
x * K(y,z) = (1 / x) \ K(y,z).
(1 / x) \ K(y,z) = x * K(y,z).
x \ y != (x \ 1) * z | L(z,x,x \ 1) = y.
L(K(x,y),z,z \ 1) = K(x,y).
(1 / x) \ K(y,z) != u | (K(z,y) / x) \ 1 = u.
(K(x,y) / z) \ 1 = z * K(y,x).
(x * K(y,z)) \ 1 = K(z,y) / x.
x \ 1 != K(y,z) / u | (z / u) \ T(z,y) = x.
(x / y) \ T(x,z) = y * K(x,z).
(x \ y) \ T(y,z) = T(x,y) * K(y,z).
x != T(y,z) * K(z,u) | T(y * K(z,u),z) = x.
T(x * K(y,z),y) = (x \ y) \ T(y,z).
(x \ y) \ T(y,z) = T(x * K(y,z),y).
K(x,L(y,z,z \ 1)) = K(x,y).
K(L(x,y,y \ 1),z) = K(x,z).
K(x,R(y,z,z \ 1)) = K(x,y).
K(x,(y \ 1) * z) = K(x,y \ z).
x != K(y,z) | K(y,L(z,u,u \ 1)) = x.
K(x,L(y,z,z \ 1)) = K(x,R(y,u,u \ 1)).
K(x,R(y,z,z \ 1)) = K(x,L(y,u,u \ 1)).
K(x * y,z) = K((x \ 1) \ y,z).
K((x \ 1) \ y,z) = K(x * y,z).
x * (y * K(x * y,z)) = T(x * y,z).
T(x * y,L(z,y,x)) = T(x * y,z).
x \ y != T(z * u,L(w,u,z)) | x * T(z * u,w) = y.
L(x,y,z) * T(z * y,x) = z * (y * x).
T(L(x,y,z) * (z * y),x) = z * (y * x).
x * y != L(z,u,w) * T(w * u,z) | (w * (u * z)) / y = x.
(x * (y * z)) / z = L(z,y,x) * (z \ (x * y)).
L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x.
T(L(x,y,z / y) * z,x) = (z / y) * (y * x).
((x * (y * z)) / z) \ (x * y) != u | (x * y) \ (z * (L(z,y,x) \ (x * y))) = u.
T(L(x,y,y \ z) * z,x) = (z / y) * (y * x).
((x / y) * (y * z)) / z = L(z,y,y \ x) * (z \ x).
L(x,y,y \ z) * (x \ z) = ((z / y) * (y * x)) / x.
(((x / y) * (y * z)) / z) \ x = x \ (z * (L(z,y,y \ x) \ x)).
x \ (y * (L(y,z,z \ x) \ x)) = (((x / z) * (z * y)) / y) \ x.
x \ y != (((x / z) * (z * u)) / u) \ x | ((x / (z * u)) * z) * u = y.
((x / (y * z)) * y) * z = z * (L(z,y,y \ x) \ x).
x * (L(x,y,y \ z) \ z) = ((z / (y * x)) * y) * x.
T((x / (y * z)) * y,z) = L(z,y,y \ x) \ x.
T((x / T(y,z \ y)) * z,y / z) = L(y / z,z,z \ x) \ x.
T(((x / y) * K(y,z)) * z,y / z) = L(y / z,z,z \ x) \ x.
T((x / y) * T(z,y \ z),y / z) = L(y / z,z,z \ x) \ x.
T(x * T(y,z \ y),z / y) != u | y * T(x,z) = u.
x * T(y / z,z) = L(z / x,x,x \ y) \ y.
L(x / y,y,y \ z) \ z = y * T(z / x,x).
L(x / y,y,y \ z) \ z = y * (x \ z).
L(x,y,y \ z) \ z = y * ((x * y) \ z).
L(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)).
R(x,y,z) = L(x,y,z).
x != L(y,z,a(y,u,w)) | y = x.
x = R(x,y,a(x,z,u)).
R(x,y,a(x,z,u)) = x.
R(a(x,x,y),z,u) != w | a(x,x,y) = w.
a(x,x,y) = L(a(x,x,y),z,u).
L(a(x,x,y),z,u) = a(x,x,y).
x / y != R(z,u,w) | L(z,u,w) * y = x.
L(x,y,z) * (y * z) = (x * y) * z.
K(x,L(y,z,z \ u)) * u = z * ((K(y,x) * z) \ u).
((x * K(y,z)) / u) * (u * K(z,y)) = u * L(u \ x,u,K(y,z)).
K(x,R(y,x,z)) != u | K(x,y) = u.
x / y != R(z,u,a(z,w,v5)) | z * y = x.
x * (y * a(x,z,u)) = (x * y) * a(x,z,u).
(x * y) * a(x,z,u) = x * (y * a(x,z,u)).
L(a(x,y,z),u,x) = a(x,y,z).
(x * y) * a(x,y,y \ 1) != z | ((x * y) * y) * (y \ 1) = z.
((x * y) * y) * (y \ 1) = x * (y * a(x,y,y \ 1)).
x * (y * a(x,y,y \ 1)) = ((x * y) * y) * (y \ 1).
x * a(x,y,z) = x / (a(x,y,z) \ 1).
x / (a(x,y,z) \ 1) = x * a(x,y,z).
x != y * L(z,y,u) | L(z,y,u) * T(y,z) = x.
L(x \ y,x,K(z,u)) * T(x,x \ y) = ((y * K(z,u)) / x) * (x * K(u,z)).
((x * K(y,z)) / u) * (u * K(z,y)) = u * ((K(y,z) * u) \ (K(y,z) * x)).
x != (y * z) * (z \ 1) | L(y,z,z \ 1) = x.
L(x * y,y,y \ 1) = x * (y * a(x,y,y \ 1)).
x * (y * a(x,y,y \ 1)) = L(x * y,y,y \ 1).
x / a(x,x \ 1,y) = x * a(x,x \ 1,y \ 1).
x * a(x,x \ 1,y \ 1) = x / a(x,x \ 1,y).
x != y / a(y,z,u) | a(y,z,u) \ y = x.
a(x,x \ 1,y) \ x = x * a(x,x \ 1,y \ 1).
x * a(x,x \ 1,y \ 1) = a(x,x \ 1,y) \ x.
x * a(y,x,x \ 1) = a(x,x \ 1,y) \ x.
a(x,x \ 1,y) \ x = x * a(y,x,x \ 1).
(x * (y * a(x,y,y \ 1))) / y = y / L(x \ y,y,y \ 1).
L(x * y,y,y \ 1) / y = y / L(x \ y,y,y \ 1).
(x * y) * (y \ 1) = y / L(x \ y,y,y \ 1).
x / L(y \ x,x,x \ 1) = (y * x) * (x \ 1).
L(x,y,y \ 1) = y / L(x \ y,y,y \ 1).
x / L(y \ x,x,x \ 1) = L(y,x,x \ 1).
L(x / y,x,x \ 1) \ x = L(y,x,x \ 1).
L(x / y,x,x \ 1) \ x != z | (x * x) * (x \ (x \ y)) = z.
(x * x) * (x \ (x \ y)) = L(y,x,x \ 1).
L(x,y,y \ 1) \ (y * (y * (y \ (y \ x)))) = a(y,y,x) \ 1.
L(x,y,y \ 1) \ x = a(y,y,x) \ 1.
a(x,x \ 1,y) = a(x,x,y) \ 1.
a(x,x,y) \ 1 = a(x,x \ 1,y).
x \ 1 != a(y,y \ 1,z) | a(z,y,y \ 1) = x.
a(x,y,y \ 1) = a(y,y,x).
a(x,y,x * y) = a(y,y,x) \ 1.
a(x \ 1,y,y \ 1) != z | a(y,y \ 1,x) = z.
a(x,x \ 1,y) = a(x,x,y \ 1).
T(x,a(y,y,z)) = x.
a(x,x,y) \ z = z / a(x,x,y).
x / a(y,y,z) = a(y,y,z) \ x.
a(x,x \ 1,y) != z | a(x,x,y) \ 1 = z.
a(x,x,y) \ 1 = a(x,x,y \ 1).
L(a(x,x,y \ 1),z,u) = a(x,x \ 1,L(y,z,u)).
a(x,x,y \ 1) * z = a(x,x,y) \ z.
x * a(y,y,z \ 1) = x / a(y,y,z).
x * y != z \ (z * u) | x \ u = y.
a(x,x,y \ 1) \ z = a(x,x,y) * z.
(x * a(y,y,z \ 1)) \ (x * (a(y,y,z) \ u)) = L(u,a(y,y,z \ 1),x).
a(x,x,y) * z != u \ z | a(x,x,y \ 1) = u.
x \ y != a(z,z,u) * y | a(z,z,u \ 1) = x.
(x / a(y,y,z)) \ (x * (a(y,y,z) \ u)) = L(u,a(y,y,z \ 1),x).
(a(x,x,y) \ z) \ (z * (a(x,x,y) \ u)) = L(u,a(x,x,y \ 1),z).
x \ (a(y,y,z) * (x * (a(y,y,z) \ u))) = L(u,a(y,y,z \ 1),x).
L(a(x,x,y),z,u) != w | a(x,x,y) = w.
a(x,x,y \ 1) = a(x,x \ 1,L(y,z,u)).
a(x,x \ 1,L(y,z,u)) = a(x,x,y \ 1).
a(x,x,y \ 1) \ (z * (u * a(x,x \ 1,y))) = T(z * u,a(x,x \ 1,L(y,u,z))).
T(x * y,a(z,z \ 1,L(u,y,x))) = a(z,z,u \ 1) \ (x * (y * a(z,z \ 1,u))).
T(x * y,a(z,z \ 1,L(u,y,x))) = a(z,z,u \ 1) \ (x * (y * a(z,z,u \ 1))).
T(x * y,a(z,z \ 1,L(u,y,x))) = a(z,z,u \ 1) \ (x * (y / a(z,z,u))).
x != a(y,y,z) \ (u * w) | (a(y,y,z) \ u) * w = x.
(a(x,x,y \ 1) \ z) * (u / a(x,x,y)) = T(z * u,a(x,x \ 1,L(y,u,z))).
T(x * y,a(z,z \ 1,L(u,y,x))) = (a(z,z,u \ 1) \ x) * (y / a(z,z,u)).
T(x * y,a(z,z,u \ 1)) = (a(z,z,u \ 1) \ x) * (y / a(z,z,u)).
(a(x,x,y \ 1) \ z) * (u / a(x,x,y)) = T(z * u,a(x,x,y \ 1)).
(a(x,x,y) * z) * (u / a(x,x,y)) = T(z * u,a(x,x,y \ 1)).
a(x,x,y) * (z * (u / a(x,x,y))) = T(z * u,a(x,x,y \ 1)).
a(x,x,y) * (z * (a(x,x,y) \ u)) = T(z * u,a(x,x,y \ 1)).
x != T(y,a(z,z,u)) | y = x.
x * y = a(z,z,u) * (x * (a(z,z,u) \ y)).
a(x,x,y) * (z * (a(x,x,y) \ u)) = z * u.
x \ (x * y) = L(y,a(z,z,u \ 1),x).
L(x,a(y,y,z \ 1),u) = u \ (u * x).
x != y \ (y * z) | z = x.
x = L(x,a(y,y,z \ 1),u).
L(x,a(y,y,z \ 1),u) = x.
x \ y != L(z,a(u,u,w \ 1),v5) | x * z = y.
(a(x,x,y) \ z) * u = z * (a(x,x,y) \ u).
L(x,a(y,y,z),u) = x.
a(x,a(y,y,z),u) = 1.
a(c1,a(c1,c2,c3),c4) != 1 | a(c1,a(c5,c1,c3),c4) != 1 | a(c1,a(c5,c2,c1),c4) != 1 | a(c1,a(c5,c2,c3),c1) != 1 | 1 != 1 | a(c1,a(c5,c2,c5),c4) != 1 | a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c1,c2,c3),c4) != 1 | a(c1,a(c5,c1,c3),c4) != 1 | a(c1,a(c5,c2,c1),c4) != 1 | a(c1,a(c5,c2,c3),c1) != 1 | a(c1,a(c5,c2,c5),c4) != 1 | a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
L(x \ y,x,K(z,u)) * T(x,y) = ((y * K(z,u)) / x) * (x * K(u,z)).
(x * y) \ (y * (a(z,z,u) \ (a(z,z,u) * x))) = K(y,a(z,z,u) * x).
(x * y) \ (y * x) = K(y,a(z,z,u) * x).
K(x,a(y,y,z) * u) = (u * x) \ (x * u).
x != (y * z) \ (z * y) | K(z,y) = x.
K(x,y) = K(x,a(z,z,u) * y).
K(x,a(y,y,z) * u) = K(x,u).
a(x,y,x * y) \ 1 = a(y,y,x).
K(x,L(y,z,z \ 1)) != u | K(x,y) = u.
K(x,(y \ 1) * z) != u | K(x,y \ z) = u.
x * (y * z) != (a(u,w,y) * y) * z | a(u,w,y) = x.
a(x,y,z) = L(a(x,y,z),z,u).
L(a(x,y,z),z,u) = a(x,y,z).
x * (y * a(z,u,y)) = (x * y) * a(z,u,y).
(x * y) * a(z,u,y) = x * (y * a(z,u,y)).
x * (y * a(z,y,u)) = (x * y) * a(z,y,u).
(x * y) * a(z,y,u) = x * (y * a(z,y,u)).
((x * y) * z) / (y * z) != u | L(x,y,z) = u.
x \ y != (z * u) * a(w,v5,u) | x * (z * (u * a(w,v5,u))) = y.
x * (y * (z * a(x,y,z))) = (x * y) * z.
L((x * L(y,x,z)) \ (x * y),L(y,x,z),u) = a(z,x,L(y,x,z)).
x \ y != L((z * L(u,z,w)) \ (z * u),L(u,z,w),v5) | x * a(w,z,L(u,z,w)) = y.
x * a(y,z,L(u,z,y)) = (x / L(u,z,y)) * (L(u,z,y) * ((z * L(u,z,y)) \ (z * u))).
(x / L(y,z,u)) * (L(y,z,u) * ((z * L(y,z,u)) \ (z * y))) = x * a(u,z,L(y,z,u)).
L(x * a(y,z,x),z,y) = x.
L(x,y,z) * a(z,y,L(x,y,z)) = x.
L(x,y,z) \ x = a(z,y,L(x,y,z)).
a(x,y,L(z,y,x)) = L(z,y,x) \ z.
x * a(y,z,L(u,z,y)) != w | x * ((z * L(u,z,y)) \ (z * u)) = w.
L(x,y,z) * ((y * L(x,y,z)) \ (y * x)) = x.
(x * (y * z)) \ ((x * y) * z) = L(a(x,y,L(z,y,x)),L(z,y,x),x * y).
L(a(x,y,L(z,y,x)),L(z,y,x),x * y) = (x * (y * z)) \ ((x * y) * z).
x / y != L(z,u,w) \ z | a(w,u,L(z,u,w)) * y = x.
a(x,y,L(z,y,x)) * L(z,y,x) = z.
a(x,y,L(z,y,x)) \ 1 = z \ L(z,y,x).
(x / L(y,z,u)) * y = x * a(u,z,L(y,z,u)).
x \ y = L(x,z,u) \ (a(u,z,L(x,z,u)) \ y).
L(x,y,z) \ (a(z,y,L(x,y,z)) \ u) = x \ u.
x \ y != a(z,z,y) \ 1 | L(y,z,z \ 1) = x.
L(L(x,y,y),y,y \ 1) = x.
L(L(x,y,y \ 1),y,y) = x.
L(L(x \ y,z,u),x,x \ 1) != w | L((x \ 1) * y,z,u) = w.
L((x \ 1) * y,x,x) = x \ y.
x != (y * (z * u)) \ ((y * z) * u) | a(y,z,u) = x.
a(x,y,z) = L(a(x,y,L(z,y,x)),L(z,y,x),x * y).
L(a(x,y,L(z,y,x)),L(z,y,x),x * y) = a(x,y,z).
L(a(x,y,z),z,u) != w | a(x,y,z) = w.
a(x,y,L(z,y,x)) = a(x,y,z).
a(x,y,L(z,y,x)) != u | L(z,y,x) \ z = u.
L(x,y,z) \ x = a(z,y,x).
a(x,y,(x * y) \ z) = a(x,y,y \ (x \ z)).
(x / L(y,z,u)) * y = x * a(u,z,y).
L(x,y,z) \ (a(z,y,x) \ u) = x \ u.
a(x,y,z) \ 1 = z \ L(z,y,x).
x != (y * z) * a(u,w,z) | y * (z * a(u,w,z)) = x.
x * (y * a(z,u,y)) = ((x * y) / L(y,u,z)) * y.
((x * y) / L(y,z,u)) * y = x * (y * a(u,z,y)).
(x * L(x \ y,z,u)) \ y = a(u,z,x \ y).
(x / L(y,z,u)) * y != w | (x * y) / L(y,z,u) = w.
(x * y) / L(y,z,u) = x * a(u,z,y).
(x / L(T(y,x),z,u)) * T(y,x) != w | y * (L(y,z,u) \ x) = w.
x * (L(x,y,z) \ u) = u * a(z,y,T(x,u)).
x * a(y,z,T(u,x)) = u * (L(u,z,y) \ x).
(x * y) * z != ((x * y) / L(u,y,x)) * u | ((x * (y * u)) / u) \ (x * y) = z.
((x * (y * z)) / z) \ (x * y) = a(x,y,z).
L(a(x,y,z) \ z,a(x,y,z),u) = L(z,y,x).
(x * a(y,z,u)) * u = x * (u * a(y,z,u)).
(x * (y * a(z,u,y))) \ (x * (y * a(z,u,y))) = a(x,a(z,u,y),y).
1 = a(x,a(y,z,u),u).
a(x,a(y,z,u),u) = 1.
a(x,y,z) \ z = L(z,y,x).
x * y = a(z,u,x) * (L(x,u,z) * y).
a(x,y,z) * (L(z,y,x) * u) = z * u.
L(x,y,z) * (x \ u) = a(z,y,x) \ u.
x \ y != (z \ u) \ u | x * T(z,u) = y.
L(x \ y,z,u) * T(x,y) = a(u,z,x \ y) \ y.
L(x,y,z) * u = a(z,y,x) \ (x * u).
a(x,y,z) \ (z * u) = L(z,y,x) * u.
L(x,y,z) \ u = x \ (a(z,y,x) * u).
x \ (a(y,z,x) * u) = L(x,z,y) \ u.
L(x,y,z) \ 1 = x \ a(z,y,x).
x * (L(x,y,z) \ u) = a(z,y,x) * u.
(a(x,y,z) * u) \ (L(z,y,x) \ (z * u)) = a(z,a(x,y,z),u).
L(x,y \ 1,z \ 1) \ x != u | x * R(x \ 1,y,z) = u.
x * R(x \ 1,y,z) = a(z \ 1,y \ 1,x).
a(x \ 1,y \ 1,z) = z * R(z \ 1,y,x).
K(x,L(y,z,u)) \ K(x,y) = a(u,z,K(x,y)).
L(x,y,z) * (x \ (u * x)) != w | T(L(x,y,z) * u,x) = w.
T(L(x,y,z) * u,x) = a(z,y,x) \ (u * x).
a(x,y,z) \ (u * z) = T(L(z,y,x) * u,z).
x \ y != L(z,u,w) * (z \ (v5 * z)) | y / T(L(z,u,w) * v5,z) = x.
(x * y) / T(L(y,z,u) * x,y) = a(u,z,y).
x \ y != L(z,u,w) * (z \ v5) | x * (a(w,u,z) \ v5) = y.
x * (a(y,z,x) \ u) = L(x,z,y) * u.
x * y = L(x,z,u) * (a(u,z,x) * y).
L(x,y,z) * (a(z,y,x) * u) = x * u.
x * y != z * (u \ (u * w)) | x \ (z * w) = y.
L(x,y,z) \ (x * u) = a(z,y,x) * u.
x \ y != L(z,u,w) \ (z * v5) | x * (a(w,u,z) * v5) = y.
x * (a(y,z,x) * u) = a(y,z,x) * (x * u).
a(x,y,z) * (z * u) = z * (a(x,y,z) * u).
(a(x,y,z) * u) \ (a(x,y,z) * u) = a(z,a(x,y,z),u).
1 = a(x,a(y,z,x),u).
a(x,a(y,z,x),u) = 1.
L(x,a(y,z,u),u) = x.
x * (a(y,z,x) \ u) != w | L(x,z,y) * u = w.
x / y != z \ L(z,u,w) | (a(w,u,z) \ 1) * y = x.
(a(x,y,z) \ 1) * u = (z \ L(z,y,x)) * u.
x \ 1 != (y \ 1) \ L(y \ 1,z \ 1,u \ 1) | y \ R(y,z,u) = x.
x \ R(x,y,z) = a(z \ 1,y \ 1,x \ 1).
a(x \ 1,y \ 1,z \ 1) = z \ R(z,y,x).
x \ y != z \ R(z,u,w) | x * a(w \ 1,u \ 1,z \ 1) = y.
x * a(y \ 1,z \ 1,x \ 1) = R(x,z,y).
x \ y != a(z,u,w) | x * ((z * (u * w)) \ ((z * u) * w)) = y.
x * (((y \ 1) * ((z \ 1) * (x \ 1))) \ (((y \ 1) * (z \ 1)) * (x \ 1))) = R(x,z,y).
x \ 1 != a(y,y,z \ 1) | a(y,y,z) = x.
a(x,x,y) = y * L(y \ 1,x,x).
x * L(x \ 1,y,y) = a(y,y,x).
L(a(x,y,z \ u) \ 1,(z * L(z \ u,y,x)) \ u,u) = u \ (z * L(z \ u,y,x)).
(a(x,y,z \ 1) / u) \ 1 = (u \ 1) \ (z * L(z \ 1,y,x)).
(x \ 1) \ (y * L(y \ 1,z,u)) = (a(u,z,y \ 1) / x) \ 1.
(L(x,y,z) * u) \ (x * u) = a(z,y,u \ (x * u)).
(x \ (y * L(y \ x,z,u))) \ 1 = a(u,z,(x \ y) \ 1).
(x * ((K(y,z) * x) \ u)) \ (K(z,y) * u) = a(K(y,z),x,x \ (K(z,y) * u)).
(a(x,y,z \ 1) \ 1) * u != w | (z * L(z \ 1,y,x)) * u = w.
(L(x,y,z) * u) \ (x * u) = a(z,y,T(x,u)).
((x * y) * z) / (x * (y * z)) = a(x,y,z).
T(x * (y * z),a(x,y,z)) = x * (y * z).
x * y != z * (u * w) | T(z * (u * w),a(z,u,w)) / y = x.
T(x * (y * ((x * y) \ (z * y))),a(x,y,(x * y) \ (z * y))) / y = x * L(x \ z,y,x).
(x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)).
T(x * (y * ((x * y) \ z)),a(x,y,y \ (x \ z))) = a(x,y,(x * y) \ z) \ z.
(x * y) \ (z * (L(z,y,x) \ (x * y))) = a(x,y,z).
((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y).
(x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ (z \ x)).
x \ a(y,y,x) = L(x \ 1,y,y).
L(x \ 1,y,y) = x \ a(y,y,x).
x != y \ a(z,u,y) | L(y,u,z) \ 1 = x.
L(x,y,y) \ 1 = L(x \ 1,y,y).
(x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ x).
(x / (y \ (z \ x))) \ (z * y) != u | a(z,y,y \ (z \ x)) = u.
a(x,y,y \ (x \ z)) = a(x,y,y \ z).
a(x,y,y \ (x \ z)) != u | a(x,y,(x * y) \ z) = u.
a(x,y,(x * y) \ z) = a(x,y,y \ z).
a(x,y,T(z,x * y)) = a(x,y,y \ (z * (x * y))).
a(x,y,y \ (z * (x * y))) = a(x,y,T(z,x * y)).
L(x,y,y) = y \ ((y \ 1) \ x).
x \ ((x \ 1) \ y) = L(y,x,x).
L((x * y) \ 1,y,y) = y \ (x \ 1).
x * (((y \ 1) * ((x * z) \ 1)) \ (((y \ 1) * (z \ 1)) * (x \ 1))) = R(x,z,y).
x * ((((x * y) * z) \ 1) \ (((z \ 1) * (y \ 1)) * (x \ 1))) = R(x,y,z).
x * ((((x * y) * z) \ 1) \ (((y * z) \ 1) * (x \ 1))) = R(x,y,z).
x * ((((x * y) * z) \ 1) \ ((x * (y * z)) \ 1)) = R(x,y,z).
x * (((x * (y * z)) / ((x * y) * z)) \ 1) = R(x,y,z).
x * ((((x * y) * z) \ (x * (y * z))) \ 1) = R(x,y,z).
x != y * (L(y,z,u) \ w) | a(u,z,y) * w = x.
a(x,y,z) * u = u * a(x,y,T(z,u)).
x * a(y,z,T(u,x)) = a(y,z,u) * x.
x * y != z * (L(z,u,w) \ x) | T(a(w,u,z),x) = y.
T(a(x,y,z),u) = a(x,y,T(z,u)).
x * ((L(y,z,u) * x) \ (y * x)) = y * (L(y,z,u) \ x).
T(a(x,y,z),u \ 1) != w | a(x,y,K(u,z)) * a(x,y,z) = w.
a(x,y,K(z,u)) * a(x,y,u) = a(x,y,T(u,z \ 1)).
T(a(x,y,z),x) != u | a(x,y,z) = u.
a(x,y,z) = a(x,y,T(z,x)).
a(x,y,T(z,x)) = a(x,y,z).
a(x / y,z,T(y,x)) = a(x / y,z,y).
x \ (y * (L(y,z,u) \ x)) = (L(y,z,u) * x) \ (y * x).
(L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)).
x != (y * z) \ (u * (L(u,z,y) \ (y * z))) | a(y,z,u) = x.
a(x,y,z) = (L(z,y,x) * (x * y)) \ (z * (x * y)).
(L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,x).
(L(x,y,z) * u) \ (x * u) != w | a(z,y,T(x,u)) = w.
a(x,y,T(z,x * y)) = a(x,y,z).
a(x,y,T(z,x * y)) != u | a(x,y,y \ (z * (x * y))) = u.
a(x,y,y \ (z * (x * y))) = a(x,y,z).
a(x,y,x * y) = a(x,y,y).
x \ y != a(z,u,z * u) | x * a(z,u,u) = y.
a(x,x,y) * a(y,x,x) = 1.
a(x,y,y) \ 1 = a(y,y,x).
x * y != a(z,x,u) * x | a(z,x,u) = y.
a(x,y,z) = a(x,y,T(z,y)).
a(x,y,T(z,y)) = a(x,y,z).
x * a(y,z,K(u,x)) = a(y,z,K(u,x)) * x.
a(x,y,K(z,u)) * u = u * a(x,y,K(z,u)).
x != L(y * L(y \ 1,z,u),w,v5) | L(y,w,v5) * L(L(y,w,v5) \ 1,z,u) = x.
L(x,y,y) * L(L(x,y,y) \ 1,z,u) = y \ ((y \ 1) \ (x * L(x \ 1,z,u))).
x \ ((x \ 1) \ (y * L(y \ 1,z,u))) = L(y,x,x) * L(L(y,x,x) \ 1,z,u).
x \ ((x \ 1) \ y) != z | (x \ 1) \ (x \ y) = z.
(x \ 1) \ (x \ y) = L(y,x,x).
L(x,y,y) \ 1 = y \ ((x / y) \ 1).
x \ ((y / x) \ 1) = L(y,x,x) \ 1.
x \ ((a(y,z,u \ 1) / x) \ 1) = L(u,x,x) * L(L(u,x,x) \ 1,z,y).
L(x,y,y) * L(L(x,y,y) \ 1,z,u) = y \ ((a(u,z,x \ 1) / y) \ 1).
x != y \ ((z / y) \ 1) | L(z,y,y) \ 1 = x.
L(a(x,y,z \ 1),u,u) \ 1 = L(z,u,u) * L(L(z,u,u) \ 1,y,x).
L(x,y,y) * L(L(x,y,y) \ 1,z,u) = L(a(u,z,x \ 1),y,y) \ 1.
L(a(x,y,z \ u) \ 1,a(x,y,z \ u),u) = u \ (z * L(z \ u,y,x)).
K(x,y * R(y \ 1,z,u)) = a(u \ 1,z \ 1,K(x,y)).
a(x,y,K(z,u \ y)) = a(x,y,K(z,y / u)).
a(x,y,K(z,y / u)) = a(x,y,K(z,u \ y)).
(a(x \ 1,y \ 1,z \ 1) \ 1) * u = ((z \ R(z,y,x)) \ 1) * u.
(x * (a(y,z,x) * T(u,x \ 1))) \ (x * (a(y,z,x) * u)) = K(a(y,z,x) * u,x).
(x * (y * T(z,u))) \ (x * (y * z)) != w | K(u,L(z,y,x)) = w.
K(x \ 1,L(y,a(z,u,x),x)) = K(a(z,u,x) * y,x).
K(x \ 1,y) = K(a(z,u,x) * y,x).
K(a(x,y,z) * u,z) = K(z \ 1,u).
x != K(y \ 1,z) | K(z,y) = x.
K(x,y) = K(a(z,u,y) * x,y).
K(a(x,y,z) * u,z) = K(u,z).
(a(x,y,z) * u) * a(w,v5,K(u,z)) = T(a(x,y,z) * u,a(w,v5,z)).
a(x,y,z) * T(u,a(w,v5,z)) = T(a(x,y,z) * u,a(w,v5,z)).
(a(x \ 1,y \ 1,z \ 1) \ 1) * u = (R(z,y,x) \ z) * u.
(R(x,y,z) \ x) * u = (a(z \ 1,y \ 1,x \ 1) \ 1) * u.
x != a(y,z,K(u,w)) | K(u,L(w,z,y)) \ K(u,w) = x.
K(x,L(y,z \ 1,u \ 1)) \ K(x,y) = K(x,y * R(y \ 1,z,u)).
x \ y != a(z \ 1,u \ 1,K(w,v5)) | x * K(w,v5 * R(v5 \ 1,u,z)) = y.
x * K(y,z * R(z \ 1,u,w)) = x * a(w \ 1,u \ 1,K(y,z)).
K(x,R(y,z,u)) \ K(x,y) = K(x,y * R(y \ 1,z,u)).
K(x,y * R(y \ 1,z,u)) = K(x,R(y,z,u)) \ K(x,y).
x != K(y,z) \ u | K(z,y) * u = x.
K(R(x,y,z),u) * K(u,x) = K(u,x * R(x \ 1,y,z)).
K(x,y * R(y \ 1,z,u)) = K(R(y,z,u),x) * K(x,y).
x != K(y,z) * K(z,u) | (K(z,u) * w) / (K(z,y) * w) = x.
(K(x,y) * z) / (K(x,R(y,u,w)) * z) = K(x,y * R(y \ 1,u,w)).
K(x,y * R(y \ 1,z,u)) = K(y,R(x,z,u)) * K(x,y).
x / (K(y,R(z,u,w)) * (K(z,y) * x)) = K(y,z * R(z \ 1,u,w)).
L(x \ y,x,K(z,u)) * T(x,y) != w | ((y * K(z,u)) / x) * (x * K(u,z)) = w.
((x * K(y,z)) / u) * (u * K(z,y)) = a(K(y,z),u,u \ x) \ x.
a(K(x,y),z,z \ u) \ u = ((u * K(x,y)) / z) * (z * K(y,x)).
(((x \ (y * L(y \ x,z,u))) \ w) \ T(w,x \ (y * L(y \ x,z,u)))) \ 1 = a(u,z,(x \ y) \ 1).
((K(x,y) * z) \ (u * ((K(y,x) * u) \ z))) \ 1 = a(K(y,x),u,((K(x,y) * z) \ u) \ 1).
T(x * (y * ((x * y) \ (z * y))),a(x,y,y \ (x \ (z * y)))) / y = x * L(x \ z,y,x).
T(x * (y * ((x * y) \ z)),a(x,y,y \ (x \ z))) = a(x,y,y \ (x \ z)) \ z.
(a(x,y,y \ (x \ (z * y))) \ (z * y)) / y = x * L(x \ z,y,x).
(a(x,y,y \ (z * y)) \ (z * y)) / y = x * L(x \ z,y,x).
(a(x,y,T(z,y)) \ (z * y)) / y = x * L(x \ z,y,x).
(a(x,y,z) \ (z * y)) / y = x * L(x \ z,y,x).
(L(x,y,z) * y) / y = z * L(z \ x,y,z).
x * L(x \ y,z,x) = L(y,z,x).
L(x,y,z) * z = L(x * z,y,z).
x * L(y,z,x) = L(x * y,z,x).
T(L(x,y,z) * z,x) = L(z * x,y,z).
T(L(x,y,z) * u,x) != w | a(z,y,x) \ (u * x) = w.
a(x,y,z) \ (x * z) = L(x * z,y,x).
x \ y != L(y,z,u) | a(u,z,y) = x.
a(x,y,x * z) = a(x,y,z).
a(x,y,z) = a(x,y,x \ z).
a(x,y,x \ z) = a(x,y,z).
a(x,y,z * x) = a(x,y,T(z,x)).
x != a(y,z,T(u,y)) | a(y,z,u) = x.
a(x,y,z) = a(x,y,z * x).
a(x,y,z * x) = a(x,y,z).
K(x,L(y,z,u)) * u = L(K(x,y) * u,z,u).
a(K(x,y),z,z \ u) \ 1 = a(K(y,x),z,((K(x,y) * u) \ z) \ 1).
a(K(x,y),z,((K(y,x) * u) \ z) \ 1) = a(K(y,x),z,z \ u) \ 1.
((x * K(y,z * R(z \ 1,u,w))) \ 1) * x = x * ((a(w \ 1,u \ 1,K(y,z)) * x) \ 1).
T(x,a(y \ 1,z \ 1,K(u,w))) * ((x \ 1) * K(u,w * R(w \ 1,z,y))) = x * (a(y \ 1,z \ 1,K(u,w)) * (x \ 1)).
(K(x * R(x \ 1,y,z),u) / w) * w = w * ((a(z \ 1,y \ 1,K(u,x)) * w) \ 1).
K(x * R(x \ 1,y,z),u) = w * ((a(z \ 1,y \ 1,K(u,x)) * w) \ 1).
K(x * R(x \ 1,y,z),u) = x * ((x * a(z \ 1,y \ 1,K(u,x))) \ 1).
x * ((x * a(y \ 1,z \ 1,K(u,x))) \ 1) = K(x * R(x \ 1,z,y),u).
x * (a(y \ 1,z \ 1,K(x,u)) * (x \ 1)) = K(x * R(x \ 1,z,y),u).
T(x,a(y \ 1,z \ 1,K(u,w))) * ((x \ 1) * K(w,(u \ 1) * R((u \ 1) \ 1,z,y))) = x * (a(y \ 1,z \ 1,K(w,u \ 1)) * (x \ 1)).
x * ((x \ 1) * K(y,(x \ 1) * R((x \ 1) \ 1,z,u))) = x * (a(u \ 1,z \ 1,K(y,x \ 1)) * (x \ 1)).
x * ((x \ 1) * K(y,x \ R(x,z,u))) = x * (a(u \ 1,z \ 1,K(y,x \ 1)) * (x \ 1)).
x * (a(y \ 1,z \ 1,K(u,x \ 1)) * (x \ 1)) = x * ((x \ 1) * K(u,x \ R(x,z,y))).
x * (a(y \ 1,z \ 1,K(u,x \ 1)) * (x \ 1)) = x * (x \ K(u,x \ R(x,z,y))).
x * (x \ K(y,x \ R(x,z,u))) = x * (a(u \ 1,z \ 1,K(y,x \ 1)) * (x \ 1)).
K(x,y \ R(y,z,u)) = y * (a(u \ 1,z \ 1,K(x,y \ 1)) * (y \ 1)).
x * (a(y \ 1,z \ 1,K(u,x \ 1)) * (x \ 1)) = K(u,x \ R(x,z,y)).
x * (a(y \ 1,z \ 1,K(x,u)) * (x \ 1)) = K(u,x \ R(x,z,y)).
x * (a(y \ 1,z \ 1,K(x,u)) * (x \ 1)) != w | K(x * R(x \ 1,z,y),u) = w.
K(x * R(x \ 1,y,z),u) = K(u,x \ R(x,y,z)).
x / (K(y,z \ R(z,u,w)) * x) = K(y,z * R(z \ 1,u,w)).
x \ (x / K(y,z \ R(z,u,w))) = K(y,z * R(z \ 1,u,w)).
x / y != K(z,u * R(u \ 1,w,v5)) | K(z,R(u,w,v5)) * (K(u,z) * x) = y.
K(x,R(y,z,u)) * (K(y,x) * w) = K(x,y \ R(y,z,u)) * w.
K(x,R(y,z,u)) * K(y,x) = K(x,y \ R(y,z,u)).
x \ (x * K(y \ R(y,z,u),w)) = K(w,y * R(y \ 1,z,u)).
x \ (x * K(y,R(z,u,w) \ z)) = K(y,z * R(z \ 1,u,w)).
K(x,y * R(y \ 1,z,u)) = K(x,R(y,z,u) \ y).
K(x,y * R(y \ 1,z,u)) != w | K(y,R(x,z,u)) * K(x,y) = w.
K(x,R(y,z,u)) * K(y,x) = K(y,R(x,z,u) \ x).
K(x,R(y,z,u)) * K(y,x) != w | K(x,y \ R(y,z,u)) = w.
K(x,y \ R(y,z,u)) = K(y,R(x,z,u) \ x).
K(x,R(y,z,u) \ y) = K(y,x \ R(x,z,u)).
K(x,y * z) = K(x,L(y,u,u) * z).
K(x,L(y,z,z) * u) = K(x,y * u).
K(x,y * z) = K(x,L(y,u,u \ 1) * z).
K(x,L(y,z,z \ 1) * u) = K(x,y * u).
x != K(y,z * u) | K(u,K(y,z)) * K(y,u * z) = x.
K(x,K(y,z)) * K(y,x * z) = K(y,L(z,u,u \ 1) * x).
K(x,L(y,z,z \ 1) * u) = K(u,K(x,y)) * K(x,u * y).
K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u).
K(x,L(y \ 1,z,z \ 1) * u) = K(x,T(u,y) * (y \ 1)).
K(x,T(y,z) * (z \ 1)) = K(x,L(z \ 1,u,u \ 1) * y).
K(x,y * L(z,u,u \ 1)) = K(x,y * z).
K(x,y * (z * u)) = K(x,y * ((z \ 1) \ u)).
K(x,y * ((z \ 1) \ u)) = K(x,y * (z * u)).
K(x,T(y,z) * (z \ 1)) = K(x,(u * ((z * u) \ 1)) * y).
x != K(y,(z * (u \ 1)) * w) | K(y,(z / u) * w) = x.
K(x,(y / (z * y)) * u) = K(x,T(u,z) * (z \ 1)).
K(x,T(y,z) * (z \ 1)) = K(x,(u / (z * u)) * y).
K(x,T(y,z) * (z \ 1)) = K(x,(u \ (u / z)) * y).
K(x,(y \ 1) * z) = K(x,(u \ (u / y)) * z).
K(x,(y \ (y / z)) * u) = K(x,(z \ 1) * u).
x != K(y,(z \ 1) * u) | K(y,z \ u) = x.
K(x,y \ z) = K(x,(u \ (u / y)) * z).
K(x,(y \ (y / z)) * u) = K(x,z \ u).
K(x,(y \ z) * u) = K(x,(z \ y) \ u).
K(x,(y \ z) \ u) = K(x,(z \ y) * u).
K(x,K(y,z \ u)) * K(x,(u \ z) * y) = K(x,y / (z \ u)).
K(x,K(y \ z,u * y)) * K(x,(y \ z) * (u * y)) = K(x,y / (z \ (u \ y))).
K(x,K(y,z)) * K(x,y * z) != u | K(x,z * y) = u.
K(x,(y * z) * (z \ u)) = K(x,z / (u \ (y \ z))).
K(x,y / (z \ (u \ y))) = K(x,(u * y) * (y \ z)).
K(x,K(y,z \ u)) * K(x,(u \ z) * y) != w | K(x,y * (u \ z)) = w.
K(x,y * (z \ u)) = K(x,y / (u \ z)).
K(x,y / (z \ u)) = K(x,y * (u \ z)).
K(x,y / (z \ (u \ y))) != w | K(x,(u * y) * (y \ z)) = w.
K(x,(y * z) * (z \ u)) = K(x,z * ((y \ z) \ u)).
K(x,((y * z) \ 1) * ((y \ 1) \ u)) = K(x,(y \ 1) * (((z \ 1) \ (y \ 1)) \ u)).
K(x,(y \ 1) * (((z \ 1) \ (y \ 1)) \ u)) = K(x,((y * z) \ 1) * ((y \ 1) \ u)).
x != K(y,z * ((u \ 1) \ w)) | K(y,z * (u * w)) = x.
K(x,((y * z) \ 1) * (y * u)) = K(x,(y \ 1) * (((z \ 1) \ (y \ 1)) \ u)).
K(x,(y \ 1) * (((z \ 1) \ (y \ 1)) \ u)) = K(x,((y * z) \ 1) * (y * u)).
K(x,(y * z) \ (y * u)) = K(x,(y \ 1) * (((z \ 1) \ (y \ 1)) \ u)).
K(x,(y \ 1) * (((z \ 1) \ (y \ 1)) \ u)) = K(x,(y * z) \ (y * u)).
K(x,(y \ 1) * (((y / z) \ 1) \ u)) = K(x,(y * z) \ (y * u)).
K(x,y * ((z \ 1) \ u)) != w | K(x,y * (z * u)) = w.
K(x,(y \ 1) * ((y / z) * u)) = K(x,(y * z) \ (y * u)).
K(x,y \ ((y / z) * u)) = K(x,(y * z) \ (y * u)).
K(x,(y * z) \ (y * u)) = K(x,y \ ((y / z) * u)).
K(x,L(y,z,u)) = K(y,u \ ((u / (z * x)) * z)).
K(x,y \ ((y / (z * u)) * z)) = K(u,L(x,z,y)).
K(x,y \ ((y / (z * u)) * z)) != w | K(u,L(x,z,z \ y)) = w.
K(x,L(y,z,z \ u)) = K(x,L(y,z,u)).
K(x,L(y,z,u)) * u = z * ((K(y,x) * z) \ u).
K(x,L(y,z,u)) * u != w | L(K(x,y) * u,z,u) = w.
L(K(x,y) * z,u,z) = u * ((K(y,x) * u) \ z).
(x * ((K(y,z) * x) \ u)) \ (K(z,y) * u) = a(u,x,K(z,y) * u).
1 = a(x,x,a(y,z,u)).
a(x,x,a(y,z,u)) = 1.
L(a(x,y,z),u,u) = a(x,y,z).
x \ y != L(a(z,u,w),v5,v5) | x * a(z,u,w) = y.
(x \ 1) * a(y,z,u) = x \ a(y,z,u).
L(x,y,y) * L(L(x,y,y) \ 1,z,u) = a(u,z,x \ 1) \ 1.
x * y != (y \ z) \ y | z \ y = x.
x \ a(y,z,u) = (a(y,z,u) \ x) \ 1.
(a(x,y,z) \ u) \ 1 = u \ a(x,y,z).
x != y \ a(z,u,w) | (y \ 1) * a(z,u,w) = x.
(x \ 1) * a(y,z,u) = (a(y,z,u) \ x) \ 1.
(a(x,y,z) \ u) \ 1 = (u \ 1) * a(x,y,z).
(a(x,y,z) \ 1) * u = a(x,y,z) \ u.
(x * L(x \ 1,y,z)) * u = a(z,y,x \ 1) \ u.
L(a(x,y,z) \ 1,u,w) * v5 = a(x,y,z) \ (a(w,u,a(x,y,z) \ 1) \ v5).
a(x,y,z) \ (a(u,w,a(x,y,z) \ 1) \ v5) = L(a(x,y,z) \ 1,w,u) * v5.
x * y != z \ y | L(z \ 1,z,y) = x.
L(a(x,y,z) \ 1,a(x,y,z),u) = a(x,y,z) \ 1.
x \ y != (z \ 1) * y | L(z,z \ 1,y) = x.
L(a(x,y,z),a(x,y,z) \ 1,u) = a(x,y,z).
a(x,x,y) * z = a(y,x,x) \ z.
a(x,y,y) \ z = a(y,y,x) * z.
a(x,x,y \ 1) = a(y,x,x).
a(x,a(y,z,z),u) = 1.
L(a(x,y,z),a(x,y,z) \ 1,(x * (y * z)) \ 1) != u | (((x * y) * z) \ (x * (y * z))) \ 1 = u.
(((x * y) * z) \ (x * (y * z))) \ 1 = a(x,y,z).
x * a(y,z,u) = x / (a(y,z,u) \ 1).
x / (a(y,z,u) \ 1) = x * a(y,z,u).
x * a(x,y,z) = R(x,y,z).
x \ R(x,y,z) = a(x,y,z).
x * y != R(x,z,u) | a(u \ 1,z \ 1,x \ 1) = y.
a(x \ 1,y \ 1,z \ 1) = a(z,y,x).
x \ y != z * a(z,u,w) | x * R(z,u,w) = y.
x * R(x \ 1,y,z) = a(x \ 1,y,z).
a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u.
a(x \ 1,y,z \ 1) = a(z,y \ 1,x).
a(x \ 1,y \ 1,z) = a(z \ 1,y,x).
a(x \ 1,a(x,y,z),u) = 1.
(R(x,y,z) \ x) * u = (a(x,y,z) \ 1) * u.
a(x,y,x \ z) != u | a(x,y,z) = u.
a(x \ 1,y \ 1,z) = a(((x \ 1) \ z) \ 1,y,x).
a(((x \ 1) \ y) \ 1,z,x) = a(x \ 1,z \ 1,y).
K(x,a(y \ 1,z,u)) = a(u \ 1,z \ 1,K(x,y)).
a(x \ 1,y \ 1,K(z,u)) = K(z,a(u \ 1,y,x)).
a((x \ 1) / y,z,y) = a(y \ 1,z \ 1,x).
a(x \ 1,y \ 1,z) = a((z \ 1) / x,y,x).
a(x \ 1,y \ 1,z) != u | a(z \ 1,y,x) = u.
a(x \ 1,y,z) = a((x \ 1) / z,y,z).
a((x \ 1) / y,z,y) = a(x \ 1,z,y).
(a(x,y,z \ 1) \ 1) \ 1 = a(x,y,L(z,u,u) \ 1).
a(x,y,L(z,u,u) \ 1) = (a(x,y,z \ 1) \ 1) \ 1.
x != (y \ 1) \ 1 | y = x.
a(x,y,z \ 1) = a(x,y,L(z,u,u) \ 1).
a(x,y,L(z,u,u) \ 1) = a(x,y,z \ 1).
a(x,y,L(z \ 1,u,u)) = a(x,y,z \ 1).
a(x,y,L(z,u,u)) = a(x,y,(z \ 1) \ 1).
a(x,y,L(z,u,u)) = a(x,y,z).
a(x,y,z) = a(x,y,L(z,u,u \ 1)).
a(x,y,L(z,u,u \ 1)) = a(x,y,z).
a(x,y,z * ((u * z) \ 1)) = a(x,y,u \ 1).
a(x,y,z * x) != u | a(x,y,z) = u.
a((x * y) \ 1,z,y) = a((x * y) \ 1,z,x \ 1).
a((x * y) \ 1,z,x \ 1) = a((x * y) \ 1,z,y).
a(x \ 1,y,z \ 1) != u | a(z,y \ 1,x) = u.
a(x,y \ 1,x * z) = a((x * z) \ 1,y,z).
a((x * y) \ 1,z,y) = a(x,z \ 1,x * y).
x != a(y,z,y * u) | a(y,z,u) = x.
a(x,y \ 1,z) = a((x * z) \ 1,y,z).
a((x * y) \ 1,z,y) = a(x,z \ 1,y).
T(x,y) \ R(T(x,y),z,u) != w | T(x \ R(x,z,u),y) = w.
T(x \ R(x,y,z),u) = a(T(x,u),y,z).
K(x,R(y,z,u) \ y) = K(y,a(x,z,u)).
x != K(y,a(z,u,w)) | a(z,u,K(y,w)) = x.
a(x,y,K(z,u)) = K(x,R(z,y,u) \ z).
K(x,R(y,z,u) \ y) = a(x,z,K(y,u)).
T(a(x,y,z),u) = a(T(x,u),y,z).
T(a(x,y,z),u) != w | a(x,y,T(z,u)) = w.
a(x,y,T(z,u)) = a(T(x,u),y,z).
a(T(x,y),z,u) = a(x,z,T(u,y)).
a(x \ y,z,u) = a(y / x,z,T(u,y)).
a(x / y,z,T(u,x)) = a(y \ x,z,u).
a(x / y,z,T(y,x)) != u | a(x / y,z,y) = u.
a(x / y,z,y) = a(y \ x,z,y).
a((x \ 1) / y,z,y) != u | a(x \ 1,z,y) = u.
a(x \ 1,y,z) = a(z \ (x \ 1),y,z).
a(x \ (y \ 1),z,x) = a(y \ 1,z,x).
L(a(x,y,z \ u) \ 1,a(x,y,z \ u),u) != w | u \ (z * L(z \ u,y,x)) = w.
x \ (y * L(y \ x,z,u)) = a(u,z,y \ x) \ 1.
(((x \ (y * L(y \ x,z,u))) \ w) \ T(w,a(u,z,y \ x) \ 1)) \ 1 = a(u,z,(x \ y) \ 1).
K(x,a(y \ 1,z,u)) = K(x,R(y,z,u) \ y).
K(x,a(y,z,u)) != w | a(y,z,K(x,u)) = w.
a(x \ 1,y,K(z,u)) = K(z,R(x,y,u) \ x).
K(x,R(y,z,u) \ y) = a(y \ 1,z,K(x,u)).
(L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w)) * v5 = a(w,u,L(x \ 1,y,z) \ 1) \ v5.
L(x \ L(x,y,z),u,w) * v5 = a(z,y,L(x \ 1,u,w) \ 1) \ v5.
a(x,y,L(z \ 1,u,w) \ 1) \ v5 = L(z \ L(z,y,x),u,w) * v5.
a(x,y,R(z,u \ 1,w \ 1)) \ v5 = L(z \ L(z,y,x),u,w) * v5.
a(x \ 1,y,K(z,u)) = a(u \ 1,y \ 1,K(z,x)).
a(x \ 1,y \ 1,K(z,u)) = a(u \ 1,y,K(z,x)).
a(K(x,y) \ 1,z,u) = a(y \ 1,z,K(x,u)).
a(K(x,y),z,u) = a(x \ 1,z,K(y,u)).
a(x \ 1,y,K(z,u)) = a(K(x,z),y,u).
a(x \ 1,y,K(z,u)) != w | K(z,R(x,y,u) \ x) = w.
K(x,R(y,z,u) \ y) = a(K(y,x),z,u).
K(x,R(y,z,u) \ y) != w | a(x,z,K(y,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,z \ (K(y,x) * u)) != w | (z * ((K(x,y) * z) \ u)) \ (K(y,x) * u) = w.
(x * ((K(y,z) * x) \ u)) \ (K(z,y) * u) = a(z,x,K(y,x \ (K(z,y) * u))).
a(K(x,y),z,((K(y,x) * u) \ z) \ 1) != w | a(K(y,x),z,z \ u) \ 1 = w.
a(K(x,y),z,z \ u) \ 1 = a(x,z,K(y,((K(x,y) * u) \ z) \ 1)).
a(x,y,K(z,((K(x,z) * u) \ y) \ 1)) = a(K(x,z),y,y \ u) \ 1.
a(x,y,K(z,u)) \ u = L(u,y,K(z,x)).
a(x,y,K(z,y \ u)) \ u = ((u * K(z,x)) / y) * (y * K(x,z)).
a(x,y,K(z,u)) * z = L(z,y,K(u,x)).
x != L(y,z,u) | R(y,z,u) = x.
R(x,y,K(z,u)) = a(u,y,K(x,z)) * x.
a(x,y,K(z,u)) * z = R(z,y,K(u,x)).
a(x,y,K(z,u)) * z != w | T(z,a(x,y,u)) = w.
T(x,a(y,z,u)) = R(x,z,K(u,y)).
x * a(y,z,u) = R(a(y,z,u) * x,z,K(u,y)).
R(a(x,y,z) * u,y,K(z,x)) = u * a(x,y,z).
a(x,y,z) * (R(u,y,K(z,x)) * y) = (u * a(x,y,z)) * y.
a(x,y,z) * R(u,w,K(z,v5)) = T(a(x,y,z) * u,a(v5,w,z)).
R(x,y,z) != u | L(x,y,z) = u.
L(a(x,y,z) * u,y,K(z,x)) = u * a(x,y,z).
a(x,y,z) * (L(u,y,K(z,x)) * y) = (u * a(x,y,z)) * y.
x != T(y,a(z,u,w)) | R(y,u,K(w,z)) = x.
R(a(x,y,z) * u,w,K(z,v5)) = a(x,y,z) * R(u,w,K(z,v5)).
a(x,y,z) * R(u,w,K(z,v5)) = R(a(x,y,z) * u,w,K(z,v5)).
a(x,y,z) * L(u,w,K(z,v5)) = R(a(x,y,z) * u,w,K(z,v5)).
x != R(y,z,u) | L(y,z,u) = x.
L(a(x,y,z) * u,w,K(z,v5)) = a(x,y,z) * L(u,w,K(z,v5)).
a(x,y,z) * L(u,w,K(z,v5)) = L(a(x,y,z) * u,w,K(z,v5)).
x != (a(y,z,u) \ 1) * w | a(y,z,u) \ w = x.
a(x,y,z) \ u = (R(x,y,z) \ x) * u.
(R(x,y,z) \ x) * u = a(x,y,z) \ u.
L(R(x,y,z) \ x,u,w) * v5 = a(x,y,z) \ (a(w,u,R(x,y,z) \ x) \ v5).
a(x,y,z) \ (a(u,w,R(x,y,z) \ x) \ v5) = L(R(x,y,z) \ x,w,u) * v5.
(L(R(x,y,z),u,w) \ L(x,u,w)) * v5 = a(L(x,u,w),y,z) \ v5.
a(x,y,z) \ (a(u,w,(R(x,y,z) \ x) * 1) \ v5) = L(a(x,y,z) \ 1,w,u) * v5.
a(x,y,z) \ (a(u,w,R(x,y,z) \ x) \ v5) = L(a(x,y,z) \ 1,w,u) * v5.
L(R(x,y,z) \ x,u,w) * v5 = a(L(x,u,w),y,z) \ v5.
L(R(x,y,z) \ x,u,w) * v5 != v6 | a(x,y,z) \ (a(w,u,R(x,y,z) \ x) \ v5) = v6.
a(x,y,z) \ (a(u,w,R(x,y,z) \ x) \ v5) = a(L(x,w,u),y,z) \ v5.
a(x,y,z) \ (a(u,w,R(x,y,z) \ x) \ v5) != v6 | L(a(x,y,z) \ 1,w,u) * v5 = v6.
L(a(x,y,z) \ 1,u,w) * v5 = a(L(x,u,w),y,z) \ v5.
L(x \ L(x,y,z),u,w) * v5 = a(L(z,u,w),y,x) \ v5.
x \ y != L(z \ L(z,u,w),v5,v6) * y | a(w,u,R(z,v5 \ 1,v6 \ 1)) = x.
a(x,y,R(z,u \ 1,w \ 1)) = a(L(x,u,w),y,z).
a((x * y) \ 1,z,R(u,y \ 1,y \ 1)) = a(y \ (x \ 1),z,u).
a((x * y) \ 1,z,L(u,y \ 1,y \ 1)) = a(y \ (x \ 1),z,u).
a(x,y,L(z,u,u)) != w | a(x,y,z) = w.
a((x * y) \ 1,z,u) = a(y \ (x \ 1),z,u).
a((x * y) \ 1,z,y) != u | a(x,z \ 1,y) = u.
a(x,y \ 1,z) = a(z \ (x \ 1),y,z).
a(x \ (y \ 1),z,x) = a(y,z \ 1,x).
a(x \ (y \ 1),z,x) != u | a(y \ 1,z,x) = u.
a(x \ 1,y,z) = a(x,y \ 1,z).
a(x,y,K(y \ z,u)) * z = ((z * K(u,x)) / y) * (y * K(x,u)).
a(x,y,K(z,u \ y)) * u = ((u * K(z,x)) / y) * (y * K(x,z)).
a(x,y,K(z,u \ w)) * u != v5 | u * a(x,y,K(z,w / u)) = v5.
x * a(y,z,K(u,z / x)) = ((x * K(u,y)) / z) * (z * K(y,u)).
((x * K(y,z)) / u) * (u * K(z,y)) = x * a(z,u,K(y,u / x)).
((x * K(y,z)) / u) * (u * K(z,y)) != w | u * ((K(y,z) * u) \ (K(y,z) * x)) = w.
x * ((K(y,z) * x) \ (K(y,z) * u)) = u * a(z,x,K(y,x / u)).
x * a(y,z,K(u,z / x)) = z * ((K(u,y) * z) \ (K(u,y) * x)).
x * a(y,z,K(u,x \ z)) = z * ((K(u,y) * z) \ (K(u,y) * x)).
T((x \ (y * L(y \ x,z,u))) * K(w,a(u,z,y \ x) \ 1),w) \ 1 = a(u,z,(x \ y) \ 1).
T((x \ (y * L(y \ x,z,u))) * K(a(u,z,y \ x),w),w) \ 1 = a(u,z,(x \ y) \ 1).
T(((x \ (y * L(y \ x,z,u))) * K(a(u,z,y \ x),w)) \ 1,w) = a(u,z,(x \ y) \ 1).
T(K(x,a(y,z,u \ w)) / (w \ (u * L(u \ w,z,y))),x) = a(y,z,(w \ u) \ 1).
T(a(x,y,K(z,u \ w)) / (w \ (u * L(u \ w,y,x))),z) = a(x,y,(w \ u) \ 1).
T(a(x,y,K(z,u \ w)) / (a(x,y,u \ w) \ 1),z) = a(x,y,(w \ u) \ 1).
T(a(x,y,K(z,u \ w)) * a(x,y,u \ w),z) = a(x,y,(w \ u) \ 1).
T(a(x,y,T(z \ u,w \ 1)),w) = a(x,y,(u \ z) \ 1).
a(x,y,T(T(z \ u,w \ 1),w)) = a(x,y,(u \ z) \ 1).
a(x,y,z \ u) = a(x,y,(u \ z) \ 1).
a(x,y,(z \ u) \ 1) = a(x,y,u \ z).
a(x \ 1,y \ 1,z \ 1) != u | a(z,y,x) = u.
a(x \ y,z,u) = a(u \ 1,z \ 1,y \ x).
a(x \ 1,y \ 1,z \ u) = a(u \ z,y,x).
a((x \ y) \ 1,z,u) = a(y \ x,z,u).
a(x \ 1,y,z) != u | a(x,y \ 1,z) = u.
a(x \ y,z \ 1,u) = a(y \ x,z,u).
a(x \ 1,y,z) = a(1 \ z,y,x).
a(1 \ x,y,z) = a(z \ 1,y,x).
a(x,y,z) = a(z \ 1,y,x).
a(x \ 1,y,z) = a(z,y,x).
a(x \ 1,a(x,y,z),u) != w | 1 = w.
1 = a(x,a(y,z,u),y).
a(x,a(y,z,u),y) = 1.
a(x,a(x,y,z),u) = 1.
a(x,y,K(z,y \ (K(x,z) * u))) = a(K(x,z),y,y \ u) \ 1.
a(x,y,K(z,y \ (K(x,z) * u))) = a(z,y,K(x,y \ u)) \ 1.
x != a(y,z,K(u,w)) \ v5 | a(y,z,K(w,u)) * v5 = x.
a(x,y,K(y \ z,u)) * 1 = a(u,y,K(x,y \ (K(u,x) * z))).
a(x,y,K(z,y \ (K(x,z) * u))) = a(z,y,K(y \ u,x)) * 1.
a(x,y,K(z,y \ (K(x,z) * u))) = a(z,y,K(x,u \ y)) * 1.
x != a(y,z,K(u,z \ (K(y,u) * w))) | a(u,z,K(y,w \ z)) = x.
a(x,y,K(z,u \ y)) = (y * ((K(x,z) * y) \ u)) \ (K(z,x) * u).
(x * ((K(y,z) * x) \ u)) \ (K(z,y) * u) = a(y,x,K(z,u \ x)).
(x * ((K(y,z) * x) \ u)) \ (K(z,y) * u) != w | a(u,x,K(z,y) * u) = w.
a(x,y,K(z,u) * x) = a(u,y,K(z,x \ y)).
a(x,y,K(z,u \ y)) = a(u,y,K(z,x) * u).
x != a(y,z,u * y) | a(y,z,u) = x.
a(x,y,K(z,u)) = a(u,y,K(z,x \ y)).
a(x,y,K(z,u \ y)) = a(u,y,K(z,x)).
x * a(x,y,K(z,u)) = y * ((K(z,u) * y) \ (K(z,u) * x)).
x * a(x,y,z) != u | L(x,y,z) = u.
L(x,y,K(z,u)) = y * ((K(z,u) * y) \ (K(z,u) * x)).
x * ((K(y,z) * x) \ (K(y,z) * u)) = L(u,x,K(y,z)).
L(x,y,K(z,u)) * y = L(x * y,y,K(z,u)).
a(x,y,z) * L(u * y,y,K(z,x)) = (u * a(x,y,z)) * y.
a(x,y,z) * L(u,w,K(z,v5)) != v6 | L(a(x,y,z) * u,w,K(z,v5)) = v6.
L(a(x,y,z) * (u * y),y,K(z,x)) = (u * a(x,y,z)) * y.
L(a(x,y,z) * u,y,K(z,x)) != w | u * a(x,y,z) = w.
(x * y) * a(z,y,u) = (x * a(z,y,u)) * y.
(x * a(y,z,u)) * z = (x * z) * a(y,z,u).
x != (y * z) * a(u,z,w) | y * (z * a(u,z,w)) = x.
x * (y * a(z,y,u)) = (x * a(z,y,u)) * y.
(x * a(y,z,u)) * z = x * (z * a(y,z,u)).
(x * (y * a(z,y,u))) \ (x * (y * a(z,y,u))) = a(x,a(z,y,u),y).
1 = a(x,a(y,z,u),z).
a(x,a(y,z,u),z) = 1.
a(x \ 1,y,z) != u | a(z,y,x) = u.
a(x,a(y,x,z),u) = 1.
a(c1,a(c5,c1,c3),c4) != 1 | a(c1,a(c5,c2,c1),c4) != 1 | a(c1,a(c5,c2,c3),c1) != 1 | a(c1,a(c5,c2,c5),c4) != 1 | a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c5,c2,c1),c4) != 1 | a(c1,a(c5,c2,c3),c1) != 1 | a(c1,a(c5,c2,c5),c4) != 1 | a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c5,c2,c3),c1) != 1 | a(c1,a(c5,c2,c5),c4) != 1 | a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c5,c2,c5),c4) != 1 | a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c5,c2,c3),c5) != 1 | a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c5,c2,c2),c4) != 1 | a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c5,c2,c3),c2) != 1 | a(c1,a(c5,c2,c3),c3) != 1.
a(c1,a(c5,c2,c3),c3) != 1.

end_of_list.
