% ********************************************************************
% AIM:  middle Bol + nil3 30 => nilpotency class 3
%
% From previous results, it suffices to prove nil3 24.
%
% Extra assumptions:
%
%    x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol").
%    a(x,y,a(a(z,u,w),v5,v6)) = 1   # label("nil3 30, aa1-Nr").
%
% This version includes the aK goals (lemmas of mbol) as assumptions.
% ********************************************************************

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

clear(back_demod).
set(restrict_denials).

set(para_from_small).
clear(cac_redundancy).

assign(max_weight,5).

formulas(assumptions).

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

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

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

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

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

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

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

   % extra assumptions for this special case
   x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol").
   a(x,y,a(a(z,u,w),v5,v6)) = 1   # label("nil3 30, aa1-Nr").

   % proved lemmas
   a(K(x,y),z,u) = 1              # label("aK1").
   a(x,K(y,z),u) = 1              # label("aK2").
   a(x,y,K(z,u)) = 1              # label("aK3").
   K(a(x,y,z),u) = 1              # label("Ka").

end_of_list.

formulas(goals).

   a(a(a(x,y,z),u,w),v5,v6) = 1 # label("nil3 24, aa1-Nl").

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).

a(a(a(x,y,z),u,w),v5,v6) = 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).
a(x,y,z) = (x * (y * z)) \ ((x * y) * z).
(x * y) \ (y * x) = K(y,x).
K(x,y) = (y * x) \ (x * y).
(x * y) \ (x * (y * z)) = L(z,y,x).
L(x,y,z) = (z * y) \ (z * (y * x)).
((x * y) * z) / (y * z) = R(x,y,z).
R(x,y,z) = ((x * y) * z) / (y * z).
x \ (y * x) = T(y,x).
T(x,y) = y \ (x * y).
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
L(T(x,y),z,u) = T(L(x,z,u),y).
T(R(x,y,z),u) = R(T(x,u),y,z).
R(T(x,y),z,u) = T(R(x,z,u),y).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
x * ((y * z) \ x) = (x / z) * (y \ x).
(x / y) * (z \ x) = x * ((z * y) \ x).
a(x,a(y,z,a(u,w,v5)),v6) = 1.
a(K(x,y),z,u) = 1.
a(x,K(y,z),u) = 1.
a(x,y,K(z,u)) = 1.
K(a(x,y,z),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.
R(x,y,z) != R(u,y,z) | x = u.
a(x,y,z) != 1 | L(z,y,x) = z.
L(x,y,z) != x | a(z,y,x) = 1.
T(x,y) != x | T(y,x) = y.
T(x,y) != x | K(x,y) = 1.
K(x,y) != 1 | T(x,y) = x.
x != y | x * z = y * z.
x != y | z * x = z * y.
x != y | x / z = y / z.
x != y | x \ z = y \ z.
x != y | z \ x = z \ y.
x != y | y != z | x = z.
a(a(a(c1,c2,c3),c4,c5),c6,c7) != 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 * (y \ (x \ z))) = z.
x / x = 1.
x / (y \ x) = y.
(x / y) \ x = y.
((x * (x \ y)) / z) * z = y.
(((x * y) / z) * z) / y = x.
(((x / y) / z) * z) * y = x.
(x * (y * z)) * a(x,y,z) = (x * y) * z.
(x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z).
(x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z).
x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z).
(x * y) * K(y,x) = y * x.
(x * y) * L(z,y,x) = x * (y * z).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
L(x \ y,x,z) = (z * x) \ (z * y).
L(x,y / x,z) = (z * (y / x)) \ (z * y).
R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)).
((x * y) * (y \ z)) / z = R(x,y,y \ z).
R(x,y,z) * (y * z) = (x * y) * z.
R(x / y,y,z) = (x * z) / (y * z).
T(x,1) = 1 \ x.
T(x,x) = x.
x * T(y,x) = y * x.
T(x,x \ y) = (x \ y) \ y.
T(x / y,y) = y \ x.
x \ (T(y,z) * x) = T(T(y,x),z).
(x * y) * ((x * z) \ (x * y)) = ((x * y) / z) * y.
(x * ((y * z) \ x)) / (y \ x) = x / z.
(x * y) * ((z * y) \ (x * y)) = x * (z \ (x * y)).
x != y | 1 * z != y | x = z.
x != y | x * z != y | 1 = z.
1 * x != y | x = y.
x * y != z | x \ z = y.
((x * y) / z) * z != x * u | u = y.
x * 1 != y | x = y.
x * y != z | z / y = x.
x / y != z | z * y = x.
x \ y != z | x * z = y.
T(x,y) != y \ z | x * y = z.
T(T(x,y),z) != T(u,y) | T(x,z) = u.
T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x.
T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w.
L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5.
L(K(x,y),z,u) = K(x,y).
L(x,K(y,z),u) = x.
L(x,y,K(z,u)) = x.
L(x,a(y,z,a(u,w,v5)),v6) = x.
T(a(x,y,z),u) = a(x,y,z).
((x / y) * y) * z = x * z.
(x * (x \ y)) * z = y * z.
x * L(L(y,z,u),w,v5) = x * L(L(y,w,v5),z,u).
x * (y * (y \ z)) = x * z.
x * (y \ (y * z)) = x * z.
(x * (x \ y)) / z = y / z.
x \ (y * 1) = x \ y.
(x * y) / y = (x / z) * z.
(x / y) * y = z * (z \ x).
(x / y) * y = x * 1.
x * (x \ y) = y * 1.
x * (x \ y) = 1 * y.
(x * (x \ 1)) \ y = y.
((1 / x) * x) \ y = y.
x * ((1 * y) \ x) = (x / y) * x.
1 \ x != y | x = y.
x * (y \ y) = x.
x * ((y * x) \ x) = 1 * (y \ x).
T(x,L(x,y,z)) = x.
T(x,T(x,y)) = x.
T(T(x,y),x) = T(x,y).
T(L(x,y,z),x) = L(x,y,z).
R(x,y,z) \ ((x * y) * z) = y * z.
(x * (y * z)) / L(z,y,x) = x * y.
(x * y) / T(x,y) = y.
x * ((y * (z \ x)) \ x) = z * (y \ x).
x / y != z | z \ x = y.
((x / y) \ x) * z = y * z.
x * (((x / y) * z) \ x) = (x / z) * y.
x \ y != z | y / z = x.
T(x,1) = x.
T(1,x) = 1.
T(x,1) != y | x = y.
x * ((x * y) \ x) = x / y.
x * (y \ y) != z | x = z.
(x * (x \ 1)) * y != z | y = z.
x * (y * (y \ 1)) != z | x = z.
L(x,1,y) = x.
L(x,K(y,z),u) != w | x = w.
L(x,1,y) != z | x = z.
L(L(x,y,K(z,u)),w,K(v5,v6)) = x.
L(x,y,1) = x.
L(x,y,K(z,u)) != w | x = w.
L(x,y,1) = z \ (z * x).
x * (x \ y) = y * (z * (z \ 1)).
L(x \ 1,x,y) = (y * x) \ y.
(x * T(y,x)) * z = (y * x) * z.
T((x * y) / x,x) = y.
x \ (y * T(x,y)) = y.
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
x * 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 * x | T(z,x) = y.
L(x,y,z) * x = x * L(x,y,z).
(x * y) \ ((z * x) * y) = T(R(z,x,y),x * y).
T(T(x / y,z),y) = T(y \ x,z).
T(L(x / y,z,u),y) = L(y \ x,z,u).
T(R(x / y,z,u),y) = R(y \ x,z,u).
T(x,y) != y \ z | z / y = x.
x / (y \ (x * 1)) = y.
x * (x \ y) != z | y = z.
1 * x != y * z | y \ x = z.
x * ((x \ 1) * y) = L(y,x \ 1,x).
K(T(x,y),x) = 1.
x / T(y,y \ x) = y \ x.
T(T((x * y) / x,z),x) = T(y,z).
T(x,y) != z | (y * z) / y = x.
K(x,(y * x) / y) = 1.
x / (y \ ((x / z) * z)) = y.
T(x,(y * x) / y) = x.
(x * y) \ (x * (y * K(z,u))) = K(z,u).
L(K(x,y),z,u) = w \ (w * K(x,y)).
L(T(K(x,y),z),u,w) = T(K(x,y),z).
L(x,y,1) != z \ u | z * x = u.
x \ (x * y) != z | y = z.
(x * y) * L(z,y,x) != u | x * (y * z) = u.
x * y != z | y * T(x,y) = z.
x \ (y * x) != z | T(y,x) = z.
x \ ((x * y) * L(z,y,x)) = y * z.
L(x \ (y \ z),x,y) = (y * x) \ z.
x * (x \ (y * z)) = y * (u * (u \ z)).
((x * (x \ y)) / z) \ y = z.
(R(x,y,z) * (y * z)) / z = x * y.
R((x / y) / z,z,y) = x / (z * y).
((x * y) / z) * z = ((x / u) * u) * y.
x != y | z != y | x = z.
(a(x,y,z) \ u) \ u = a(x,y,z).
T(x,a(y,z,u)) = x.
a(x,y,z) * u = u * a(x,y,z).
a(x,y,z) \ (u * a(x,y,z)) = u.
x / a(y,z,u) = a(y,z,u) \ x.
K(x,a(y,z,u)) = 1.
T(x,a(y,z,u)) != w | x = w.
x * K(y,a(z,u,w)) = x.
(x * y) / y != z * u | x / u = z.
((x / y) \ x) * (y \ z) = z.
(x * y) \ x = x \ (x / y).
1 * (x \ 1) = 1 / x.
x / (x \ y) = x * (y \ x).
1 / x = x \ 1.
(x \ 1) \ 1 = x.
1 / x != y | x \ 1 = y.
(x \ 1) * (y \ 1) = 1 * ((y * x) \ 1).
T(x \ 1,x) = x \ 1.
x \ 1 != y | y \ 1 = x.
K(x \ 1,x) = 1.
K(x \ 1,x) / y = y \ 1.
x / L(y,z,x / (z * y)) = (x / (z * y)) * z.
a(x,y,z) \ u != w | u / a(x,y,z) = w.
(x / y) \ ((x / y) / y) = x \ (x / y).
(x / y) * (x \ (x / z)) = x * (((x * z) * y) \ x).
(x * T(y,x)) \ y = y \ (y / x).
(x * y) * ((x * (y * z)) \ (x * y)) = (x * y) / L(z,y,x).
K(x \ 1,x) = (y \ 1) * y.
K(1 / x,x) / y = y \ 1.
K(x \ 1,x) = K(1 / y,y).
K(x \ 1,x) = K(y,y \ 1).
K(1 / x,x) = K(y,1 / y).
K(x,x \ 1) = K(y,y \ 1).
a(x,y,z) \ u != w | w * a(x,y,z) = u.
L(x \ 1,x,y) = y \ (y / x).
x / L(y \ 1,y,x) = x * y.
L((x \ y) \ 1,x \ y,x) = y \ x.
L(T(x,y) \ 1,T(x,y),y) = (x * y) \ y.
x * L(y \ 1,y,x) = x / y.
T(x,y) \ (x * y) != z | T(y,T(x,y)) = z.
T(x \ (x / y),z) = L(T(y \ 1,z),y,x).
L((x \ y) \ 1,x \ y,y) = y \ x.
L(x,x \ 1,y) = y \ (y / (x \ 1)).
K(x,y) * (z \ 1) = K(x,y) / z.
T(T(x,y),z) != u | T(T(x,z),y) = u.
(x / y) * x = x * (y \ x).
T(x / y,x) = y \ x.
x \ (x * (y \ x)) = T(x / y,x).
a(x,y,z) / u = u \ a(x,y,z).
T(x,y) != z \ y | y / z = x.
T(x,y) = (x \ y) \ y.
T(x,x \ y) = T(x,y).
(L(x,y,z) \ x) \ x = L(x,y,z).
(T(x,y) \ x) \ x = T(x,y).
x / T(y,x) = y \ x.
(x \ y) * T(x,y) = y.
x * (((y \ x) * z) \ x) = (x / z) * T(y,x).
T(x \ y,y) = T(x,y) \ y.
T(x,x \ T(x,y)) = x.
T(x,x * y) = T(x,y).
T(T(x,y),x \ z) = T(T(x,z),y).
x / L(T(y,x),z,u) = L(y,z,u) \ x.
L(x,y,z) / x = x \ L(x,y,z).
x / T(x,y) = T(x,y) \ x.
x / L(x,y,z) = L(x,y,z) \ x.
(T(x,y) \ x) * T(x,y) = x.
T(x \ y,y) != z \ y | T(x,y) = z.
x * ((y * x) \ x) = y \ x.
(x * y) \ y = y \ (x \ y).
(x / y) \ y = y * (x \ y).
(x \ y) \ (x \ (x \ y)) = y \ (x \ y).
x / (x * (y \ x)) = y / x.
(x / y) * (y * (x \ y)) = y.
x / y != z / x | x * (z \ x) = y.
(x / y) / x = x / (x * y).
(x * y) / x = x / (x / y).
(x / y) \ y != z | y * (x \ y) = z.
(x / (x / y)) \ (x * y) = x.
(a(x,y,z) * u) * w = (u * a(x,y,z)) * w.
x * T(x \ (y * x),z) = T(y,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
x \ (T(y,z) * x) != u | T(T(y,x),z) = u.
(x * T(y,z)) / x = T((x * y) / x,z).
a(x,y,z) \ ((x * y) * z) = x * (y * z).
a(x,y,z) != u \ w | a(x,y,z) \ w = u.
(a(x,y,z) * u) \ w = (u * a(x,y,z)) \ w.
(a(x,y,z) * u) / w = (u * a(x,y,z)) / w.
x * (a(y,z,u) * w) = x * (w * a(y,z,u)).
a(x,y,z) * u != u * w | a(x,y,z) = w.
x * a(y,z,u) != w | a(y,z,u) \ w = x.
a(x,y,z) * u != w | u * a(x,y,z) = w.
(a(x,y,z) \ u) * u = u * (a(x,y,z) \ u).
T(x / y,x) != z | y \ x = z.
a(x,y,z) / u != w | u \ a(x,y,z) = w.
T(x * (y \ x),x) != z | (x \ y) \ x = z.
L(x,y,z) != u \ x | L(x,y,z) \ x = u.
(x * y) * L(z,T(x,y),y) = y * (T(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 * L(z,y,x))) \ (x * (y * z)) = a(x,y,L(z,y,x)).
(x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y).
(x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)).
L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)).
(x * y) * T(L(z,y,x),u) = x * (y * T(z,u)).
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
(x * y) * z != x * (y * u) | L(u,y,x) = z.
(x * K(y,z)) * u = x * (K(y,z) * u).
(K(x,y) * z) * u = K(x,y) * (z * u).
(x * y) * K(z,u) = x * (y * K(z,u)).
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z.
L((x \ 1) \ y,x \ 1,x) = x * y.
(K(x,y) * z) \ (K(x,y) * u) = z \ u.
(x * a(y,z,a(u,w,v5))) \ (x * v6) = a(y,z,a(u,w,v5)) \ v6.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(x \ y,x,z / x) = z \ ((z / x) * y).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
(K(x,y) * z) \ (K(x,y) * u) != w | z \ u = w.
L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y).
L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u).
(x * y) * T(R(z,x,y),x * y) = (z * x) * y.
(x * y) * (y \ 1) = R(x,y,y \ 1).
R(x,y,y \ z) * z = (x * y) * (y \ z).
(x * y) \ R(x,y,y \ 1) = y \ 1.
R(x,y / z,z) * y = (x * (y / z)) * z.
(R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)).
(((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u).
T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z.
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
R(x / (y / z),y / z,z) = (x * z) / y.
R(x / y,y,x \ z) \ z = y * (x \ z).
R(x / y,y,z) * (x * z) = (x * z) * ((y * z) \ (x * z)).
x * y != x * z | z = y.
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z.
R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u.
(x * y) / L(z,y / z,x) = x * (y / z).
x \ L(y,x \ 1,x) = (x \ 1) * y.
L(K(x,y),z,u) != w | K(x,y) = w.
x \ (y * L(z,x \ y,x)) = (x \ y) * z.
x \ ((x * y) * K(z,u)) = y * K(z,u).
(x * K(y,z)) \ u = K(y,z) \ (x \ u).
L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u).
R(x,y,y \ 1) / (y \ 1) = x * y.
R(x / y,y,y \ 1) = x * (y \ 1).
x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u).
(x \ 1) * K(y,z) = x \ K(y,z).
T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y.
(x * (y \ x)) / (z \ x) = x / (z \ y).
(x * (y \ z)) \ z = z \ (y * (x \ z)).
(x * ((y * x) \ 1)) \ 1 = R(y,x,x \ 1).
x * (y \ z) != z * u | (y * (x \ z)) \ z = u.
x \ (y * (z \ x)) != u | (z * (y \ x)) \ x = u.
(x * (y \ z)) / z = z / (y * (x \ z)).
x * (((y \ x) * a(z,u,w)) \ x) = y * (a(z,u,w) \ x).
((x / y) * z) \ x = x \ ((x / z) * y).
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
x * L(x \ (y * x),z,u) = L(y,z,u) * x.
L(x / y,z,u) * y = y * L(y \ x,z,u).
L((x * y) / x,z,u) * x = x * L(y,z,u).
(x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y).
L(x \ 1,y,z) * x = x * L(x \ 1,y,z).
(x \ y) * L(T(x,y),z,u) = L(x,z,u) * (x \ y).
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 * L(x \ y,z,u)) / x = L(y / x,z,u).
T(L(R(x / y,y,z),u,w),y * z) = L((y * z) \ (x * z),u,w).
T((x * y) / (z * y),z) = R(z \ x,z,y).
(x * y) * K(z,u) != w | x * (y * K(z,u)) = w.
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
x * (y * (y \ z)) != u | x * z = u.
x != y | x * 1 = y.
x * (a(y,z,u) * w) != v5 | x * (w * a(y,z,u)) = v5.
(x \ 1) * (y \ 1) = (y * x) \ 1.
((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1).
((x \ 1) * y) \ 1 = (y \ 1) * x.
x / L(a(y,z,u),w,v5) = L(a(y,z,u),w,v5) \ x.
x / L(y \ x,z,u) = L(x / y,z,u) \ x.
x / L(T(y,y \ x),z,u) = L(y,z,u) \ x.
((x * y) * T(L(z,y,x),u)) / (x * y) = T((x * (y * z)) / (x * y),u).
R(x,K(y,z),u) = x.
(x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w) = a(x * K(y,z),u,w).
(x * (K(y,z) * u)) \ ((x * K(y,z)) * (u * w)) = L(w,u,x * K(y,z)).
(x \ 1) * (K(y,z) * u) = (x \ K(y,z)) * u.
(x / y) / K(z,u) = x / (K(z,u) * y).
K(x,y) * (T(z,K(x,y)) * u) = (z * K(x,y)) * u.
R(K(x,y),z,u) = K(x,y).
(K(x,y) * (z * (u * w))) \ (((K(x,y) * z) * u) * w) = a(K(x,y) * z,u,w).
(K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z).
((K(x,y) * (z * u)) * w) / (u * w) = R(K(x,y) * z,u,w).
x \ (K(y,z) * (u * x)) != w | T(K(y,z) * u,x) = w.
R(K(x,y),z,u) = L(K(x,y),w,v5).
R(K(x,y),z,u) != w | K(x,y) = w.
x * (T(y,x) * K(z,u)) = (y * x) * K(z,u).
R(x,y,K(z,u)) = x.
(x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w).
R(x,y,K(z,u)) != w | x = w.
x \ (y * K(z,u)) = (x \ y) * K(z,u).
x \ (y * x) = y * K(y,x).
(x * y) \ ((x * (y * z)) * K(u,w)) = L(z,y,x) * K(u,w).
T(x,y) = x * K(x,y).
x * (y * K(x * y,z)) = T(x * y,z).
K(x,y) = x \ T(x,y).
T(x,y) != x * z | K(x,y) = z.
x \ T(x,y) != z | K(x,y) = z.
x * (K(x,y) * z) = T(x,y) * z.
(x * y) * K(y,z) = x * T(y,z).
T(x,y) \ T(T(x,z),y) = K(T(x,y),z).
T(x,K(x,y)) = x.
T(K(x,y),x) = K(x,y).
L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w.
x \ (T(x,y) * z) = K(x,y) * z.
(K(x,y) * z) \ (T(x,y) * z) = T(x,K(x,y) * z).
T(x,y) * z != x * (K(x,y) * u) | u = z.
x * (a(y,z,u) * K(x,w)) = T(x,w) * a(y,z,u).
T(x,y) * K(K(x,y),z) = x * T(K(x,y),z).
x * T(x \ 1,y) = K(x \ 1,y).
x * T(x \ y,z) = y * K(x \ y,z).
(x / y) * T(y,z) = x * K(y,z).
K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)).
((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u).
K(x,y) * (T(x,y) \ z) = x \ z.
K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)).
(x * y) / (z \ x) = x / (z \ (x / y)).
(x * T(y,x)) / (z \ x) = x / (z \ (y \ x)).
(x \ y) / (z \ y) = y / (z \ (x * y)).
(x * (y \ z)) / (u \ z) = z / (u \ (y * (x \ z))).
((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)).
L(x \ (y \ (z * x)),x,z) = (y * (z \ (z * x))) \ (z * x).
(x * y) \ (((x * y) / z) * y) = (x * z) \ (x * y).
(x \ (y * z)) * K(z,y) = x \ (z * y).
x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w).
(x \ y) * K(y,z) = x \ T(y,z).
(x \ (y \ z)) * K(z,u) = x \ (y \ T(z,u)).
x \ (y * T(y \ x,z)) = K(y \ x,z).
K(x \ 1,y) != z | x * T(x \ 1,y) = z.
a(x,y,z) * (x * (y * z)) = (x * y) * z.
(x * y) * a(x,z,z \ y) = (x * z) * (z \ y).
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z).
x / (y * ((z * y) \ x)) = R(z,y,y \ x).
L(T(x,y),y,x) = T(x,x * y).
T(L(x,y,x),y) = T(x,x * y).
L(x,y,x) = x.
L(x \ 1,y,x \ 1) = 1 / x.
L(x,y,x) = z / (x \ z).
(x * (y / x)) \ (x * y) = x.
a(x,y,x) = 1.
L(x,y,L(x,z,u)) = x.
L(L(x,y,z),u,x) = L(x,y,z).
(x \ 1) * (x \ 1) = (x \ 1) / x.
(x * y) * x = x * (y * x).
a(x,y,x) = z \ z.
a(x,y,x) != z \ u | u = z.
(L(x,y,z) \ 1) * x = L(x,y,z) \ x.
x / (y \ x) != z | y = z.
x / a(y,z,u) != w | a(y,z,u) \ x = w.
(x * y) / x = x * (y / x).
x / (x / y) = x * (y / x).
(x * y) / x != z | x * (y / x) = z.
T(x * y,x) = y * x.
R(x,y,x) = x.
R(x,y,R(x,z,u)) = x.
R(x,y,L(x,z,u)) = x.
T(x,y) = (y \ x) * y.
T(T(x * y,z),x) = T(y * x,z).
T(x,y) != z * y | y * z = x.
T(x * y,y) = T(x,y) * y.
x * a(y,z,u) != w | a(y,z,u) * x = w.
x / (y * x) = (x * y) \ x.
T(x,y) * (x \ y) = T(y,x \ y).
T(x,y) / y = y \ x.
(x * (y \ z)) \ (x * T(z,y)) = L(y,y \ z,x).
T(x \ y,x) = x \ T(y,x).
T(x,y) != z * y | y \ x = z.
L(x \ y,x,z) * (z * x) = T(z * y,z * x).
T(T(x,y),z) / y = y \ T(x,z).
(x \ y) / x = x \ (y / x).
(x \ y) / y = y \ (y / x).
(x * (y / x)) \ x = x / y.
x / (y * x) = x \ (x / y).
T(x \ T(y,z),x) = x \ T(T(y,x),z).
T(x \ (x / y),x) = x \ (y \ x).
x \ y != y / z | y * (z / y) = x.
(x \ (x / y)) * (z \ x) = x * ((z * (y * x)) \ x).
x / (x * a(y,z,u)) = x \ (x / a(y,z,u)).
L(x \ 1,y,1 / x) = 1 / x.
(x \ 1) * L(x,y,z) = x \ L(x,y,z).
(x \ 1) / x = (x * x) \ 1.
(x * x) \ 1 = x \ (1 / x).
(x * x) \ 1 = x \ (x \ 1).
T(a(x,y,z) * u,w) = T(u * a(x,y,z),w).
T(x * a(y,z,u),w) != v5 | T(a(y,z,u) * x,w) = v5.
T((x \ y) * x,z) / x = x \ T(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.
T((x \ y) * x,z) = (x \ T(y,z)) * x.
T((x \ y) * x,z) != u * x | x \ T(y,z) = u.
(x * y) \ (x * ((y \ 1) * y)) = T(x \ (x / y),y).
a(x,y,z) = ((x * y) * z) / (x * (y * z)).
(x \ y) \ x = (y \ x) * x.
x * T(L(y,z \ x,z),u) = z * ((z \ x) * T(y,u)).
(1 / x) \ L(y,x,1 / x) = x * y.
(1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u).
L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w).
R(x,1 / y,y) / y = x * (1 / y).
L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z.
R(x,y \ 1,y) / y = x * (1 / y).
(x * (1 / y)) * y = R(x,y \ 1,y).
(x * (y \ 1)) * y = R(x,y \ 1,y).
R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u).
x \ (y * L(x,z,u)) = (x \ y) * L(x,z,u).
(K(x,y) * z) / u = K(x,y) * (z / u).
(L(x,y,z) * u) / x = L(x,y,z) * (u / x).
x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z).
R(x,y,z) = T(((y * x) * z) / (y * z),y).
((x * y) / (z * y)) * z = z * R(z \ x,z,y).
((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x.
R(x,y,y \ z) \ z = y * ((x * y) \ z).
R(1 / x,x,x \ y) = y / (x * y).
R(x \ 1,x,x \ y) = y / (x * y).
R(x \ 1,x,x \ y) = y \ (y / x).
R((x \ 1) \ 1,x \ 1,(x \ 1) \ y) = L(x,x \ 1,y).
((x * y) * z) / (y * (T(x,y) * z)) = a(y,T(x,y),z).
((x * a(y,z,u)) * w) / (a(y,z,u) * (x * w)) = a(a(y,z,u),x,w).
((x * a(y,z,u)) * w) / (x * (w * a(y,z,u))) = a(x,a(y,z,u),w).
T(R(x,y,x),y * x) = T(x,y).
R(T(x,y * x),y,x) = T(x,y).
T(x,y * x) = T(x,y).
T(x,y / x) = T(x,y).
T(x,y / x) = T(x,x \ y).
(x / y) * T(y,x) = y * (x / y).
(T(x,y * x) * y) * x = T(x,y) * (y * x).
(x / y) * T(y,x) = (y * x) / y.
x * K(y,x) = y * (x / y).
(x * y) / x = y * K(x,y).
T(x * K(y,x),y) = x.
T(x,x * K(y,x)) = x.
T(T(x * K(y,x),z),y) = T(x,z).
T(x,y) * K(y,T(x,y)) = x.
T(x,y) != z | z * K(y,z) = x.
T((x / y) * T(y,x),y) = x.
T(x,K(y,x)) = x.
T(x,K(y,T(x,z))) = x.
K(x,y) \ (y * K(x,y)) = y.
K(x,y) * y = y * K(x,y).
T(x * T(T(y,x),y * x),T(y,x)) = y * x.
x != y | T(x,K(z,x)) = y.
(x * y) / x = K(x,y) * y.
T(K(x,y) * y,x) = y.
T(x,y) * y = x * ((x * y) / x).
T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y).
(x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5.
(x * K(y,z)) * u != w | x * (K(y,z) * u) = w.
(K(x,y) * z) * u != w | K(x,y) * (z * u) = w.
T((x * a(y,z,u)) * w,a(y,z,u) * x) = w * (a(y,z,u) * x).
T(x,a(y,z,u) \ x) = x.
T((x * y) * z,x * (y * z)) = (x * y) * z.
(a(x,y,z) * u) \ (u * (a(x,y,z) * w)) != v5 | L(w,a(x,y,z),u) = v5.
(x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w.
K(x,y) != z | L(K(x,y),u,w) = z.
L(L(x,y,z) \ x,u,w) * L(x,y,z) = L(x,y,z) * L(L(x,y,z) \ x,u,w).
L((x * y) \ x,z,u) * (y * x) = (y * x) * L((y * x) \ x,z,u).
x / (x * L(x \ 1,y,z)) = (x * L(x \ 1,y,z)) \ x.
T((x * y) / (y * L(y \ 1,z,u)),L(y \ 1,z,u)) = R(L(y \ 1,z,u) \ x,L(y \ 1,z,u),y).
R((x * y) / (x * z),u,w) * (x * z) = (x * z) * R(L(z \ y,z,x),u,w).
T(x,L(x \ y,z,u)) * L(x \ y,z,u) = x * L(y / x,z,u).
L((x * (y * z)) / (x * y),u,w) \ (x * (y * z)) = (x * (y * z)) / L(L(z,y,x),u,w).
L(x / (x / y),z,u) \ x = x / L(y,z,u).
T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z).
(x * ((y \ K(z,u)) * w)) \ ((x * (y \ 1)) * (K(z,u) * w)) = a(x,y \ 1,K(z,u) * w).
L(K(x,y) * z,u \ 1,u) = u * ((u \ K(x,y)) * z).
x * (T(y,x) * K(z,u)) = y * (x * K(z,u)).
T(x,y) * K(y,x) = x.
T(x,y) = x / K(y,x).
K(x,y) = T(y,x) \ y.
K(x,T(y,x)) = K(x,y).
K(x,y) * K(y,x) = 1.
(x \ y) * K(x,y / x) = y / x.
(x * T(y,z)) \ (x * y) = K(z,y).
T(x,y) * (K(y,x) * z) = x * z.
(x \ T(y,z)) * K(z,y) = x \ y.
T(x,y \ 1) \ x = y * T(y \ 1,x).
K(x,y) = y / T(y,x).
T(x,y) * K(y,x) != z | x = z.
T(x,y) = K(y,x) \ x.
K(x,y) * T(y,x) = y.
x / K(y,x) != z | T(x,y) = z.
K(x,T(T(y,x),z)) = K(x,T(y,z)).
K(x,y / x) = K(x,x \ y).
1 / K(x,y) = K(y,x).
K(x,y) \ 1 = K(y,x).
K(x * y,x) = x / T(x,y).
T(x,y) != z \ x | K(y,x) = z.
(x * (K(x,y) \ y)) \ y = y \ (y / x).
x / T(x,y) != z | K(y,x) = z.
K(x,y) * (T(y,x) * z) = y * z.
x \ (K(y,x) * z) = T(x,y) \ z.
T(x,y) * T(y,x) = x * y.
K(x,y) != z | K(y,x) \ 1 = z.
K(x * y,x) = K(y,x).
K(x \ y,x) = K(y,x).
T(x,y) \ (x * y) = T(y,x).
T(x,T(y,x)) = T(x,y).
T(T(x,y),T(z,x)) = T(T(x,z),y).
T(x,T(T(y,x),z)) = T(x,T(y,z)).
T(a(x,y,z),u) != w | a(x,y,z) = w.
K(x * y,x) != z | K(y,x) = z.
K((x * y) * z,R(x,y,z)) != u | K(y * z,R(x,y,z)) = u.
K(x,y) = (1 / T(y,x)) * y.
K(x,y) * (K(y,x) * z) = z.
T(x,y) * (K(y,x) * L(x \ z,u,w)) = L(z / x,u,w) * x.
T(x,y) \ (x * z) = K(y,x) * z.
T(x,y) = K(x,y) * x.
T(x / y,z) \ x = K(z,x / y) * y.
T(x,y) != z * x | K(x,y) = z.
(x * K(y,z)) * y = x * T(y,z).
K(x,y) * (x * z) = T(x,y) * z.
T(x,y) \ (K(x,y) * z) = x \ z.
K(x,y) * (x / z) = T(x,y) / z.
K(x,y) \ z = K(y,x) * z.
x / (K(y,z) * x) = K(z,y).
K(x,y) * (y \ z) = T(y,x) \ z.
K(x,y) * (K(y,x) / z) = z \ 1.
K(x,y) * ((K(y,x) * z) * u) = z * u.
K(x,y) * z != u | K(y,x) * u = z.
K(x,y) \ z != u | K(y,x) * z = u.
(K(x,y) * z) \ u = z \ (K(y,x) * u).
(x * K(y,z)) \ u = K(z,y) * (x \ u).
(K(x,y) * z) \ z = T(K(y,x),z).
(x * K(y,z)) \ x = K(z,y).
x / K(y,z) = x * K(z,y).
(x * K(y,z)) * K(z,y) = x.
(x * (y * K(z,u))) * K(u,z) = x * y.
(x * K(y,z)) * K(z,y) != u | x = u.
x / K(y,z \ x) = z * T(z \ x,y).
x / (K(y,z) * u) = (x / u) * K(z,y).
T(x * K(y,z),K(z,y)) = K(z,y) \ x.
x * K(y,z) != u | u * K(z,y) = x.
T(K(x,y),z) * K(y,x) = K(K(x,y),z).
(x \ T(y,z)) * (K(z,y) * u) = (x \ y) * u.
x * (T(x,y) \ z) = K(y,x) * z.
K(x,y) = y * (T(y,x) \ 1).
K(x,y) \ (T(x,y) * z) = x * z.
R(K(x,y),T(y,x) * z,u) = ((y * z) * u) / ((T(y,x) * z) * u).
K(x,y) * ((T(y,x) * z) * u) = (y * z) * u.
(x * y) \ (K(z,x) * u) = (T(x,z) * y) \ u.
T(x,y) * (T(y,x) * z) = x * (y * z).
K(x,y) * ((T(y,x) * z) / u) = (y * z) / u.
T(x,y) * (x * z) = x * (T(x,y) * z).
(T(x,y) * z) / (x * z) = K(x,y).
T(x,T(x / y,z)) = T(x,T(y \ x,z)).
(x * T(y,z)) / y = x * K(y,z).
T(x * K(y,z),y) = y \ (x * T(y,z)).
T(x,y) * (x \ z) = K(x,y) * z.
((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u).
K(x,y) * (z * x) = T(x,y) * T(z,x).
T(x,y) \ (y * K(x,y)) = x \ y.
K(x,y) * ((x / z) * u) = (T(x,y) / z) * u.
T(x,y) \ (T(x,y) / z) = x \ (x / z).
(x \ K(y,z)) \ 1 = K(z,y) * x.
L(T(K(x,y),z),u,w) = (K(y,x) * z) \ z.
T(x,y) \ (x * z) = x * (T(x,y) \ z).
K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)).
(T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u).
(x / T(y,z)) * K(y,z) = x / y.
(x \ y) * K(x,y) = y / x.
(T(x,y) * z) / T(x,z) = z * K(T(x,z),y).
(x * K(y,z)) / y = (x / y) * K(y,z).
K(x,y / x) = K(x,y).
(x \ y) * z != y / x | K(x,y) = z.
(x \ y) * (K(x,y) * z) = (y / x) * z.
(x \ (y \ z)) * K(y,z) = x \ (z / y).
K(x,x \ y) = K(x,y).
K(x,y * x) = K(x,y).
T(x,y) * (x \ y) = (x * y) / x.
T(x,y \ x) = K(y,x) * x.
K(x,y \ x) = K(y,x).
T(x,y \ x) = x * K(y,x).
T(T(x,y \ x),y) = x.
T(x,y \ x) \ y = y / x.
T(x,y \ x) = y * (x / y).
T(x,y \ x) * K(x,y) = x.
T(x,y) \ (x / y) = (x / y) / x.
x \ T(y,x \ y) != z | y / x = z.
T(x,y) \ (z * K(T(x * K(z,x),y),z)) = T(x * K(z,x),y) \ z.
(1 * (x \ 1)) / (K(y,z) * u) = 1 / ((u \ K(z,y)) \ x).
(x / y) * K(z,y) = x / T(y,z).
(x / y) * T(y,x) = T(y,x) * (y \ x).
T(x,y) \ (x / y) = x / (x * y).
(x \ (y / z)) * K(u,z) = x \ (y / T(z,u)).
(x * (y / x)) * K(z,x) = (x * y) / T(x,z).
K(x,y) * (y / x) = y * (y / (y * x)).
(x * K(y,z)) \ u != w | K(z,y) * (x \ u) = w.
L(x,y \ K(z,u),y) != w | K(u,z) * (y * ((y \ K(z,u)) * x)) = w.
(x \ y) * K(y,z) != u | x \ T(y,z) = u.
K(x,y) * (x \ y) = y / x.
K(x,y) * ((x \ y) * z) = (y / x) * z.
T(x,y) \ (y \ x) = x \ (x / y).
(x / y) \ ((x / y) / y) = (y \ x) \ (y \ (x / y)).
x \ (K(y,z) * (u * (K(z,y) * x))) = T(u,K(z,y) * x).
(x \ (K(y,z) * u)) \ u = T(K(z,y) * x,u).
(x \ y) \ (K(y,x) * z) = (y / x) \ z.
K(x,y) * ((z \ 1) \ u) = (z \ K(y,x)) \ u.
(x * (y * K(z,u))) \ w = K(u,z) * ((x * y) \ w).
K(x,y) * ((z * y) \ u) = (z * T(y,x)) \ u.
K(x,y) * ((z \ y) \ u) = (z \ T(y,x)) \ u.
K(x,y) * ((z / x) \ u) = (z / T(x,y)) \ u.
(x * K(y,z)) / u = x / (u * K(z,y)).
(x * (y * (z * T(z \ 1,u)))) * K(u,z \ 1) = x * y.
(x / (T(y,z) * u)) * K(y,z) = x / (y * u).
x / T(y,z \ y) = (x / y) * K(y,z).
T(x * K(y,z),K(z,y)) = K(y,z) * x.
(x / y) * (T(x / y,z) * y) = T(x / y,z) * x.
T(x,T(y \ x,z)) / T(x / y,z) = T(x / y,z) \ x.
K(x,y) * (y * x) = x * y.
x \ (T(x,y) * (z * x)) = T(x,y) * T(z,x).
K(x,y) = (x * y) / (y * x).
K(x,y) * ((y * x) * z) = (x * y) * z.
(x * y) \ (K(x,y) * z) = (y * x) \ z.
(x / (y * z)) * K(y,z) = x / (z * y).
L(K(x,y),z,u) = (x * y) / (y * x).
(x * y) / (y * x) != z | K(x,y) = z.
T(x \ y,z) \ (T(T(y / x,z),x) / u) = T(y / x,z) \ (T(y / x,z) / u).
x * (T(x,y) \ y) = T(y,T(x,y)).
(x / y) * ((y \ x) \ y) = T(y,T(x / y,y)).
((x \ 1) / y) * K(y,z) = (x \ K(y,z)) / y.
(x \ (y \ z)) * T(y,z) = (x \ (z / y)) * y.
T(x / y,T(y,x)) = y \ x.
K(x,y) * (y / x) = (y / x) * K(x,y).
(x \ y) \ (T(y,x) * z) = (y / x) \ (y * z).
K(x,y) * (z * (u * K(y,x))) = T(z * u,K(y,x)).
(x * (K(y,z) \ (y * z))) \ (y * z) = (z * y) \ (x \ (y * z)).
(x * y) \ T(x,y) = (y * x) \ x.
(x * y) \ (T(x,y) * z) = (y * x) \ (x * z).
(x * y) \ T(x,y) = x \ (y \ x).
T(x,y) = (x * y) * (x \ (y \ x)).
(x * (y * z)) / (z * y) = x * K(y,z).
T(x * K(y,z),z * y) = (z * y) \ (x * (y * z)).
T(K(x,y),z) \ 1 = T(K(y,x),z).
1 / T(K(x,y),z) = T(K(y,x),z).
T(K(x,y),z) * T(K(y,x),z) = 1.
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
T(K(x,y),z) * K(y,x) = K(z,K(y,x)).
K(K(x,y),z) = K(z,K(y,x)).
K(x,K(y,z)) \ 1 = K(x,K(z,y)).
K(x,y) * T(z,T(x,y)) = T(z * K(x,y),x).
(x * y) / (z \ y) = y / (z \ (x \ y)).
x / (x * a(y,z,u)) = x \ (a(y,z,u) \ x).
(x \ L(x,y,z)) \ 1 = L(x,y,z) \ x.
(L(x,y,z) \ x) \ 1 = x \ L(x,y,z).
(x \ L(x,y,z)) * (L(x,y,z) \ x) = 1.
(x / L(x,y,z)) \ 1 = x \ L(x,y,z).
(x \ L(x,y,z)) \ 1 != u | L(x,y,z) \ x = u.
(L(x,y,z) * (u / x)) * K(w,x) = (L(x,y,z) * u) / T(x,w).
T(T(x,y * x) * y,x) = x \ (T(x,y) * (y * x)).
T(T(x,x * y) * y,T(x,y)) = x * y.
T(T(x / y,(x / y) * y) * y,T(x / y,y)) = x.
T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)).
T((x * y) * (y \ z),x * z) = (x * y) * (y \ z).
(x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)).
L(x / (x / y),z,u) = x * (L(y,z,u) / x).
T(x,y) \ ((T(x,y) * z) * u) = x \ ((x * z) * u).
(T(x,y) * z) \ (x * y) = (x * z) \ (y * x).
(T(x,y) * z) \ ((T(x,y) * u) * w) = (x * z) \ ((x * u) * w).
T(x * y,K(y,z)) = y * T(x,T(y,z)).
x * ((y / x) * K(z,x)) = (x * y) / T(x,z).
T(K(x,y) * z,y) = (z \ T(y,x)) \ y.
x / (y \ T(x,z)) = K(z,x) * y.
K(x,y) / (z * T(x,y)) = (z * x) \ 1.
T(x,y) * ((z * T(x,y)) \ u) = x * ((z * x) \ u).
(x / y) * ((y \ x) \ y) = T(y,y \ x).
((x * y) / x) * (y \ x) = T(x,x \ (x * y)).
T(((x * y) / (T(z,u) * y)) * K(z,u),z) = K(z,u) * R(T(z,u) \ x,T(z,u),y).
T(x * K(y / z,T(z,y)),y / z) = K(y / z,T(z,y)) * T(x,z \ y).
L(x * (y / x),z,u) = x * (L(y,z,u) / x).
(x * y) / T(x,z) = x * (y / T(x,z)).
(x / y) * (z / T(x / y,y)) = ((x / y) * z) / (y \ x).
T(x,y) = ((x * y) / x) * (y \ x).
T(x,y) / (y \ x) = (x * y) / x.
T(T(x,y) / (y \ x),x) = y.
T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y.
x \ L(x * (y / x),z,u) = L(y,z,u) / x.
(x * a(y,z,u)) \ L((x * a(y,z,u)) * (x \ (a(y,z,u) \ x)),w,v5) = L(x,w,v5) / (x * a(y,z,u)).
R(x,y,(x * y) \ z) = R(x,y,y \ z).
R(x,x \ y,(x \ y) \ z) = R(x,x \ y,y \ z).
R(x,y * z,(y * z) \ ((x * y) * z)) = R(x,y * z,a(x,y,z)).
(x * (K(y,z) * u)) \ (u * (T(x * K(y,z),u) * w)) = L(w,T(x * K(y,z),u),u).
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
(K(x,y) * z) \ u != w | z \ (K(y,x) * u) = w.
R(x,y,a(x,z,z \ y)) \ ((x * z) * (z \ y)) = y * a(x,z,z \ y).
L(L(x,x \ y,z) \ 1,(z * (x \ y)) \ (z * T(y,x)),z * T(y,x)) = (z * T(y,x)) \ (z * (x \ y)).
(x / (y * x)) * y = y * R(y \ 1,y,x).
R(T(x,y * z),y,z) * K((x * y) * z,u) != w | (y * z) \ T((x * y) * z,u) = w.
(x \ y) \ (L(x,z,u) * (x \ y)) = L(T(x,y),z,u).
(x \ (K(y,z) * u)) * L(T(K(z,y) * x,u),w,v5) = L(K(z,y) * x,w,v5) * ((K(z,y) * x) \ u).
K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u).
K(x,y) * (T(z,K(x,y)) * u) != w | z * (K(x,y) * u) = w.
(x * (y \ 1)) * (K(z,u) * w) = (x * (y \ K(z,u))) * w.
x / (y \ (L(x,z,u) * ((x \ L(x,z,u)) \ x))) = 1 / (y \ x).
((x * (y * (z * K(u,w)))) \ ((x * y) * z)) * K(u,w) = a(x,y,z * K(u,w)).
(x * y) \ (x * ((y * z) * K(u,w))) = L(z,y,x) * K(u,w).
(x \ (y * (z * u))) * K(u,w) = x \ (y * (z * T(u,w))).
(x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) != v5 | a(x,K(y,z) * u,w) = v5.
L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z).
(x * y) \ (x * T(1,y)) = T(x \ (x / y),y).
T(x \ (x / y),y) = (x * y) \ (x * 1).
T(x \ (x / y),y) = (x * y) \ x.
T(x \ (x / y),y) = x \ (x / y).
(x \ y) \ (x \ (y / x)) = y \ (y / x).
(x * (y * (z * K(u,w)))) \ v5 = K(w,u) * ((x * (y * z)) \ v5).
(x / y) * (y * T(y \ x,z)) = T(x / y,z) * x.
T(x * T(y,z \ y),K(y,z)) = K(z,y) * (x * y).
T(T(x,y * x) * y,x) = T(x,y) * T(y,x).
T(T(x,y * x) * y,x) = x * y.
T(T(x,y) * y,x) = x * y.
((T(x,y) * z) * u) / T(T(x,y),(T(x,y) * z) * u) = x \ ((x * z) * u).
T(x,y) * ((x * y) \ z) = x * ((y * x) \ z).
x * ((y * x) \ (z * (x * y))) = T(x,y) * T(z,x * y).
K(x,T(y,z)) * (y * u) = y * (K(x,T(y,z)) * u).
K(x / y,z) * x = y * T(y \ x,z).
K(x / y,z) * x = x * K(y \ x,z).
x \ (y * T(y \ x,z)) = T(K(x / y,z),x).
T(K(x / y,z),x) = K(y \ x,z).
K(1 / x,y) = K(x \ 1,y).
K((x \ y) \ y,z) = T(K(x,z),y).
K(T(x,y),z) = T(K(x,z),y).
K(x,T(y,z)) * T(K(y,x),z) = 1.
x * K(T(y,x),z) = K(y,z) * x.
K(x,T(y,z)) = T(K(x,y),z).
K(T(x,y),z) = K(x,T(z,y)).
x * K(y,T(z,x)) = K(y,z) * x.
T(K(x,y / z),y) = K(x,z \ y).
K(x,T(y,y \ z)) = T(K(x,y),z).
T(K(x,y),y * z) = K(x,T(y,z)).
x * T(K(x,y),z) = T(x,T(y,z)).
T(K(x,y),z * y) = K(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
T(x,y) \ T(T(x,z),y) = K(x,T(z,y)).
x / T(x,T(y,z)) = K(y,T(x,z)).
T(x,y) * K(x,T(z,y)) = T(T(x,y),z).
T(x,T(y,z) \ x) = x * K(y,T(x,z)).
K(x,T(y,z)) * (y * T(x,z)) = T(x,z) * y.
(T(x,y) * z) / T(x,z) = K(x,y) * z.
K(x,y / z) * z = z * K(x,z \ y).
L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))).
K(x,1 / y) = K(x,y \ 1).
K(x,(y \ 1) \ 1) = K(x,y).
K(x,T(y,y \ z)) = K(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)).
T(x,y) * K(K(x,y),z) = T(x,T(y,z)).
T(K(x,y),z * y) = T(K(x,y),y * z).
T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)).
(K(x,y) * z) \ (T(x,y) * z) = T(x,z).
T(x / y,z) \ x = y * K(z,y \ x).
T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z).
T(x,K(x,y) * z) = T(x,z).
T(x,K(x,y) * z) = K(z,x) \ x.
T(x,K(1 / y,y) * z) = T(x,z).
T(x,T(y,x) * z) = T(x,y * z).
T(x,(y * x) * z) = T(x,(x * y) * z).
K(K(x,y) * z,x) = K(z,x).
K(x,K(x,y) * z) = K(z,x) \ 1.
K(x,K(x,y) * z) = K(x,z).
K(x,K(x,y) \ z) = K(x,z).
x / K(y,x) = K(y,z) * T(K(y,z) \ x,y).
K(x,T(y,z)) * (T(y,x) * T(x,z)) = T(x,z) * T(y,x).
K(x * y,K(x,z)) = K(y,K(x,z)).
K(x,y) * T(K(x,y) \ z,x) = T(z,x).
T(x * K(y,z),y) = T(x,y) * K(y,z).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
(T(x,y) / y) * T(y,z) = T(x * K(y,z),y).
T(x * K(y,z),y) * u = T(x,y) * (K(y,z) * u).
T(x * K(y,z \ y),y) = T(x,y) * K(z,y).
T(x * K(y,z),y) = (y \ x) * T(y,z).
T((x * y) * K(y,z),y) = T(x,y) * T(y,z).
T(x * K(y,z),z) = T(x,z) * K(y,z).
T(x * K(y,z),z) * u = T(x,z) * (K(y,z) * u).
T(x * T(y,z),y) = T(x,y) * T(y,z).
K(K(x,y),y * z) = K(z * y,K(y,x)).
K(x * y,K(y,z)) = K(y * x,K(y,z)).
K(x * y,K(y,z)) = K(x,K(y,z)).
((x * ((a(y,z,u) * x) \ w)) * a(y,z,u)) \ w = a(a(y,z,u),x,(a(y,z,u) * x) \ w).
(x * (y * z)) \ (R(x,y,L(z,y,x)) * (y * z)) = (x * (y * L(z,y,x))) \ (x * (y * z)).
(x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)).
(x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
x * ((y \ x) * L((y \ x) \ 1,z,u)) = (x * (y \ x)) * L(x \ y,z,u).
(x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)).
L(L(x,y,z),u,w) * K(z * y,L(L(x,y,z),u,w)) = (z * (y * L(x,u,w))) / (z * y).
(x * y) \ ((y * x) * z) = K(y,x) * z.
(x * y) \ (y * T(x,z)) = K(y,x) * K(x,z).
(x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)).
(x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)).
K(x * y,K(y,z)) = K(z,K(y,x)).
K(x,K(y,z)) = K(z,K(y,x)).
K(K(x,y),z) = K(x,K(y,z)).
K(x,K(y,z)) * z = T(z,K(y,x)).
K(x,K(y,z)) \ 1 = K(z,K(x,y)).
T(x,y) * K(x,K(y,z)) = T(x,T(y,z)).
K(x,K(y,z)) = K(y,K(x,z)).
K(x,K(y,z)) = K(z,K(x,y)).
K(x,K(y,z)) * z = T(z,K(x,y)).
K(K(x,y),z) = K(x,K(z,y)).
T(x,K(y,z)) = T(x,K(z,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,y),K(y,z)) = T(x,T(y,z)).
T(K(x,y),z) * z = z * K(x,y).
K(x,y) * (z * K(y,x)) = T(z,K(x,y)).
T(K(x,T(y,z)),z) = K(x,y).
K(x,T(y,z)) * z = z * K(x,y).
K(x,T(T(y,z),z)) = K(x,y).
K(T(x,y),T(z,y)) = K(x,z).
K(x,y * K(z,y)) = K(x,T(y,z)).
K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w).
K((x * y) / x,z) = K(y,T(z,x)).
K(x * K(y,x),z) = K(x,T(z,y)).
K(x,T(y,z)) * (z * u) = (z * K(x,y)) * u.
K(x,T(y,z) * K(u,T(y,z))) = K(x,T(T(y,u),z)).
x / T(x,y * K(z,y)) = K(y,T(x,z)).
K(x,y) * ((z * K(y,x)) * u) = T(z,K(x,y)) * u.
T(x,y * K(z,y)) = T(x,T(y,z)).
T(x,y * (z / y)) = T(x,T(z,y)).
T((x * (y / x)) * z,T(y,x)) = z * (x * (y / x)).
K(x,T(y,z)) * (z * u) = z * (K(x,y) * u).
x * (K(y,z) * (x \ u)) = K(y,T(z,x)) * u.
x * (K(y,T(z,x)) * u) = K(y,z) * (x * u).
K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u).
K(x,y) * (z * (T(T(y,z),x) * u)) = z * (T(y,z) * u).
x \ (K(y,z) * (u * x)) = K(y,T(z,x)) * T(u,x).
K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)).
K(x,T(T(y,z \ y),u)) = K(x,T(T(y,z),u)).
K(x,y) * (z * (K(y,x) * u)) = T(z,K(x,y)) * u.
(x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u).
(L(x,y,z) \ 1) * L(x,u,w) = L(x,y,z) \ L(x,u,w).
K(x,T(y,z)) * T(u,z) = T(K(x,y) * u,z).
T(K(x,y) * z,y) = K(x,y) * T(z,y).
x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z).
(1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z).
(T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y.
T(x,L(x,y,z) \ u) = T(x,x \ u).
L(x,y,z) \ L(T(x,x \ u),y,z) = K(L(x,y,z),L(x,y,z) \ u).
((x * ((x \ K(y,z)) * u)) \ (K(y,z) * u)) \ 1 = (K(y,z) * u) \ L(K(y,z) * u,x \ 1,x).
(x / a(y,z,u)) * T(w,x) = w * (a(y,z,u) \ x).
(a(x,y,z) \ u) * T(w,u) = w * (a(x,y,z) \ u).
T(x,a(y,z,u) \ w) = T(x,w).
(a(x,y,z) \ (u \ w)) * T(u,w) = u * (a(x,y,z) \ (u \ w)).
(a(x,y,z) \ u) * (u \ (w \ u)) = (u \ (u / w)) * (a(x,y,z) \ u).
T(x,a(y,z,u) \ 1) = x.
T(x,a(y,z,u) * w) = T(x,w).
T(x,y * a(z,u,w)) = T(x,y).
T(x,(y * z) * u) = T(x,y * (z * u)).
x / (a(y,z,u) \ 1) = (a(y,z,u) \ 1) \ x.
(a(x,y,z) \ 1) / u != w | u \ (a(x,y,z) \ 1) = w.
x * (a(y,z,u) \ 1) != w | (a(y,z,u) \ 1) * x = w.
(a(x,y,z) * u) * T(w,u) = w * (a(x,y,z) * u).
x * T(y,x * a(z,u,w)) = y * x.
T(x,(x * y) * z) = T(x,y * z).
T(x,y * ((y \ z) * u)) = T(x,z * u).
T(x,(a(y,z,u) * w) * v5) = T(x,w * (a(y,z,u) * v5)).
T(x,(y \ z) * (y * u)) = T(x,T(z,y) * u).
T(x,(y * x) * z) = T(x,y * z).
((x * y) * z) / T(x,y * z) = x \ ((x * y) * z).
T(x,y * (x * z)) = T(x,y * z).
T(x \ 1,x * y) = T(x \ 1,y).
T(x,y * (x \ z)) = T(x,y * z).
T(x,(y / z) * u) = T(x,y * (z \ u)).
T(x,y * (z \ x)) = T(x,y / z).
T(x,y * (z \ 1)) = T(x,y / z).
T(x,T(y,z) * (z \ u)) = T(x,(z \ y) * u).
T(x,y * (x \ (x / z))) = T(x,y / (x * z)).
T(x,y / (x * z)) = T(x,y * (x / z)).
R(x,x \ 1,(x \ 1) \ y) = L(x,x \ 1,y).
R(x,x \ 1,1 \ y) = L(x,x \ 1,y).
R(x,x \ 1,y) = L(x,x \ 1,y).
T(x,x * L(x \ 1,y,z)) = x.
T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1.
R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)).
(x \ 1) / (K(y,z) * u) = 1 / ((u \ K(z,y)) \ x).
1 / ((x \ K(y,z)) \ u) = ((u \ 1) / x) * K(y,z).
((x \ K(y,z)) \ u) \ 1 = ((u \ 1) / x) * K(y,z).
x \ (T(y,K(z,u)) * x) = T(y,K(u,z) * x).
T(T(x,y),K(z,u)) = T(x,K(u,z) * y).
T(T(x,y),K(z,u)) = T(x,K(z,u) * y).
T(T(x,y * z),K(y,z)) = T(x,z * y).
T(x,T(y * T(z,u \ z),K(z,u))) = T(T(x,y * z),K(z,u)).
T(T(x,K(y,z)),u) = T(x,K(y,z) * u).
x * T(y,K(z,u) * x) = T(y,K(z,u)) * x.
T(x,K(y,z) * u) != w | T(T(x,u),K(y,z)) = w.
((x / y) * z) / (y \ x) = (x / y) * (z / (y \ x)).
x * T(y * K(x,z),z * x) = T(x,z) * T(y,x * z).
K(x,T(y,z)) * (T(y,x) * T(x,z)) = K(x,z) * (y * x).
(x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)).
T(x,a(y,z,u) * (w * v5)) = T(x,w * (a(y,z,u) * v5)).
K(x,T(y,z)) * T(y * T(x,z),x) = K(x,z) * (y * x).
x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z).
T(K(x / y,z),x) = K((x \ y) \ 1,z).
T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1).
T(K(x,y / z),y) = K(x,(y \ z) \ 1).
K(x,(y \ z) \ 1) = K(x,z \ y).
T(x,(y \ z) \ 1) = x * K(x,z \ y).
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,(y \ z) \ 1) != x * u | K(x,z \ y) = u.
T(x,y \ (y / z)) = T(x,z \ 1).
K(x \ (x / y),z) = T(z,y \ 1) \ z.
K(x \ (x / y),z) = y * T(y \ 1,z).
T(x,y * (a(z,u,w) * v5)) = T(x,y * v5).
T(K(x,T(y,z)) * (y * T(x,z)),x) = K(x,z) * (y * x).
T(T(x,y) * z,x) = K(x,y) * (z * x).
T(T(x,y) * z,x) = T(x,y) * T(z,x).
T(T(x,y) * L(z,u,w),x) = T(x,y) * L(T(z,x),u,w).
(x * y) / L(z,y,x) = ((x * y) / (y * z)) * y.
x / L(y,z,x / z) = (((x / z) * z) / (z * y)) * z.
x / L(y,z,x / z) = (x / (z * y)) * z.
R(x / y,y,z) * (x * z) = x * (y \ (x * z)).
(K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w).
(x * y) \ ((x * (y * z)) * K(u,T(w,L(z,y,x)))) = K(u,w) * L(z,y,x).
(x * y) * (z * K(y * z,u)) = R(x,y,z) * T(y * z,u).
L(x \ (y \ (z * x)),x,z) = (y * x) \ (z * x).
x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w).
(L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y.
(x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w).
K(x,y) * (((z * u) * w) / (u * w)) = R(K(x,y) * z,u,w).
L(x * K(y,z),u,w) = L(x,u,w) * K(y,z).
L(x,y,z) * K(u,w) != v5 | L(x * K(u,w),y,z) = v5.
L(x * K(y,z),u,w) * v5 = L(x,u,w) * (K(y,z) * v5).
L(x * K(y,z),u,w) * v5 != v6 | L(x,u,w) * (K(y,z) * v5) = v6.
R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w).
((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)).
((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y).
K(R(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z.
R(K(x,y),x * z,u) = K(R(x,z,u),y).
((x * y) * z) / ((T(x,u) * y) * z) = K(u,R(x,y,z)).
(x * (K(y,z) * (z * y))) \ (z * y) = (y * z) \ (x \ (z * y)).
L(x,y,z) * ((u / x) * K(w,x)) = (L(x,y,z) * u) / T(x,w).
a(T(x,y),z,u) = (x * (z * u)) \ ((x * z) * u).
a(T(x,y),z,u) = a(x,z,u).
a(L(T(x,y),z,u),w,v5) = a(L(x,z,u),w,v5).
a(x / y,z,u) = a(y \ x,z,u).
a((x \ y) \ y,z,u) = a(x,z,u).
a(x \ (x / y),z,u) = a(x \ (y \ x),z,u).
x \ (((x / (y * z)) * y) * z) = a((y * z) \ x,y,z).
a(L(L(T(x,y),z,u),w,v5),v6,v7) = a(L(L(x,z,u),w,v5),v6,v7).
a(L(x \ 1,x,y),z,u) = a(y \ (x \ y),z,u).
x / (y \ (L(x,z,u) * ((x \ L(x,z,u)) \ x))) = (y \ x) \ 1.
x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u.
x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u).
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
L(x,y,z) * (x \ 1) = x \ L(x,y,z).
(x * (L(x,y,z) * u)) \ ((L(x,y,z) * x) * u) = a(L(x,y,z),x,u).
x * (L(x,y,z) * (x \ u)) != w | L(x,y,z) * u = w.
x \ (L(x,y,z) \ x) = L(x,y,z) \ 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).
(x \ (L(x,y,z) \ x)) \ 1 = L(x,y,z).
x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w.
L(x * K(y,z),u,w) * ((x * K(y,z)) \ v5) = K(z,y) * (x \ (L(x * K(y,z),u,w) * v5)).
(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,y,z) \ u)) = x \ u.
T(x,(L(y,z,u) * (y \ w)) * (y * v5)) = T(x,T(L(y,z,u) * w,y) * v5).
L(x / y,z,u) \ ((x / y) * x) = x * ((L(x / y,z,u) * y) \ x).
(L(x,y,z) \ x) * L(L(x,y,z),u,w) = x * (L(x,y,z) \ L(L(x,y,z),u,w)).
L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u).
(T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x.
(T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z).
((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z).
K((x / y) \ 1,z) * y = x * T(x \ y,z).
K(x \ (x / (y / z)),u) * z = y * T(y \ z,u).
K((x / y) \ 1,z) = K(y / x,z).
K(x \ (x / (y / z)),u) = (y * T(y \ z,u)) / z.
(x * T(x \ y,z)) / y = K(1 / (x / y),z).
K(1 / (x / (x * y)),z) = (x * T(y,z)) / (x * y).
K((x / (x * y)) \ 1,z) = (x * T(y,z)) / (x * y).
(x * T(y,z)) / (x * y) = K((x * y) / x,z).
(x * T(y,z)) / (x * y) = K(y,T(z,x)).
((a(x,y,z) \ u) * T(w,u)) / ((a(x,y,z) \ u) * w) = K(w,u).
(a(x,y,z) \ (u / w)) * w = w * (a(x,y,z) \ (w \ u)).
T(x,T(y * T(z,u \ z),K(z,u))) = T(x,K(z,u) * (y * z)).
(x * (y * z)) \ (z * y) = (y * z) \ (x \ (z * y)).
(L(x,y,z) * u) / T(x,w) = L(x,y,z) * (u / T(x,w)).
a(L(L(T(x \ 1,y),x,z),z * x,u),w,v5) = a((u * (z * x)) \ (u * z),w,v5).
x / (y \ (L(x,z,u) * ((L(x,z,u) \ x) * x))) = (y \ x) \ 1.
(x * (a(y,z,u) \ w)) / ((a(y,z,u) \ w) * x) = K(x,w).
K(x,a(y,z,u) \ w) = K(x,w).
T(x,T(y * T(z,u \ z),K(z,u))) = T(x,T(T(z,u) * y,z)).
T(R(L(x / y,z,u),y,w),y * w) = L((y * w) \ (x * w),z,u).
((1 * ((x * y) \ 1)) * (z \ 1)) / ((z * x) \ 1) = R(1 / y,x \ 1,z \ 1).
T((x * a(y,z,u)) * w,x) = w * (a(y,z,u) * x).
T((x * a(y,z,u)) * K(a(y,z,u) * x,w),x) = T(a(y,z,u) * x,w).
(x * (a(y,z,u) * w)) / w = w \ ((w * a(y,z,u)) * x).
x \ y != (z * (a(u,w,v5) * x)) / x | (x * a(u,w,v5)) * z = y.
T(x * L(x \ y,z,u),L(x \ y,z,u)) = x * L(y / x,z,u).
R(K(x,y),T(y,x) * z,u) = K(x,R(y,z,u)).
K(x,R(y,z,u)) = K(x,y).
K((x * y) * z,x) = K(y * z,R(x,y,z)).
R(K(x,y),z,u) = K(x,R(y,w,v5)).
T(x,R(y,z,u)) = x * K(x,y).
T(x,R(y,z,u)) = T(x,y).
R(x,y,z) * T(u,x) = u * R(x,y,z).
T(x,(y * z) / (u * z)) = T(x,y / u).
K(x,T(y,z)) * R(z,u,w) = R(z,u,w) * K(x,y).
K(R(x,y,z),u) = K(x,R(u,w,v5)).
K(K(R(x,y,z),u) * w,x) = K(w,x).
K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)).
R(x,y,z) * (x \ u) = (u / x) * R(x,y,z).
T(x,(y * z) / (x * z)) = T(x,x \ y).
T(x,y / (x * z)) = T(x,x \ (y / z)).
T(x,y / (x * z)) = T(x,y / z).
T(x,y * (x / z)) = T(x,y / z).
K((x * y) * z,x) = K(y * z,x).
((x / y) * R(y,z,u)) \ x = x \ (y * (R(y,z,u) \ x)).
R(K(x,T(y,z)) * z,u,w) = R(z,u,w) * K(x,y).
R(x * K(y,z),u,w) = R(x,u,w) * K(y,z).
R(x,y * z,R(T(x,y * z),y,z)) = R(x,y * z,a(x,y,z)).
L(K(x,T(y,z \ u)),z \ u,z) = u \ (K(x,T(y,z)) * u).
L(K(x,T(y,z \ u)),z \ u,z) = T(K(x,T(y,z)),u).
L(K(x,T(y,z \ u)),z \ u,z) = K(x,T(T(y,z),u)).
K(x,T(T(y,z),u)) = K(x,T(y,z \ u)).
K(x,T(T(y,z),u)) != w | K(x,T(y,z \ u)) = w.
K(x,T(y,(z \ y) \ u)) = K(x,T(T(y,z),u)).
K(x,T(y,z \ 1)) = K(x,T(y,z)).
K(x,T(y,z \ u)) = K(x,T(y,u \ z)).
K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))).
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
T(x,y) \ (z * K(x * K(z,x),T(z,y))) = T(x * K(z,x),y) \ z.
T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y.
T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z).
T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)).
T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,x * (y \ 1)) = T(x,y \ x).
T(x,y \ 1) = T(x,y \ x).
T(x,y \ 1) = y * (x / y).
T(x,y \ 1) = x * K(y,x).
T(T(x,y \ x),T(z,x)) = T(T(x,z),y \ 1).
T(T(x,y \ 1),y) = x.
T(x,y \ 1) \ y = y / x.
T(x * y,y \ 1) = y * x.
T(T(x,y),y \ 1) = x.
T(x,y \ 1) * y = y * x.
T(x,y) * (y \ 1) = (y \ 1) * x.
L(T(x,y \ 1),z,u) \ y = y / L(x,z,u).
T(x * (y \ 1),y) = (y \ 1) * x.
x \ T(y,x \ 1) = y / x.
(x \ 1) \ T(y,x) = y / (x \ 1).
T(K(x,y) * z,u \ 1) = u * (K(x,y) * (z / u)).
K(x,y) * T(z,(x \ y) \ 1) = (y / x) * (z / (x \ y)).
T(x,(y * z) * (u / z)) = T(x,y * T(u,z \ 1)).
T((x * (y / x)) * z,y) = K(y,x \ 1) * (z * y).
K(x \ y,z) = K(z,y \ x).
K(x,y \ 1) = K(y,x).
K(x \ 1,y) = K(y,x).
K(x,y) = y * T(y \ 1,x).
K(x / y,z) = K(z,y / x).
K(x,y) * ((y \ 1) \ x) = x / (y \ 1).
((x \ 1) \ y) * x = x * (y / (x \ 1)).
(x \ (x / (y \ 1))) * y = y * (x \ (x / (y \ 1))).
(x / (y \ 1)) / y = y \ ((y \ 1) \ x).
(x \ y) * K(z,y \ x) = T(x \ y,z).
x * T(x \ y,z) = y * K(z,y \ x).
T(x \ 1,y) = x \ K(y,x).
T(x \ 1,y) = T(x,y) \ 1.
(x \ K(y,x)) / y = y \ (x \ 1).
T(x \ 1,x * y) = T(x,y) \ 1.
T((x * y) \ 1,x) = (y * x) \ 1.
L(T(x \ 1,y),T(x,y),y) = (x * y) \ y.
L((x \ 1) \ y,x \ 1,T(z,x)) * ((x \ 1) * z) = T(T(z,x) * y,T(z,x) * (x \ 1)).
T(T(x * K(y \ 1,z),z * (y \ 1)) * (y \ 1),y) = T(y \ 1,z) * T(x,(y \ 1) * z).
T(x \ 1,x * y) != z \ 1 | T(x,y) = z.
((x * y) \ 1) * x = x * ((y * x) \ 1).
(x \ K(x,y)) \ y = y / (x \ 1).
((x \ 1) / y) * K(y,x) = (x / (y \ 1)) \ 1.
(x \ (x / y)) * K(z,y) = T(x \ (x / y),z).
T(x / y,z) \ x = x * T(x \ y,z).
(((x * y) \ 1) * x) \ 1 = R(y,x,x \ 1).
x * T(x \ (y \ x),z) = T(y,z) \ x.
x * T(T(y,x) / x,z) = T(x / y,z) \ x.
T(x \ (y \ x),z) = x \ (T(y,z) \ x).
(x \ 1) * (x * y) = R(y,x,x \ 1).
T(T(x,y),z \ 1) = T(T(x,y),z \ x).
(x / (y \ 1)) \ 1 = (x \ K(y,x)) / y.
(x / (y \ 1)) \ 1 = y \ (x \ 1).
(x \ (y \ 1)) \ 1 = y / (x \ 1).
(x \ 1) \ (y \ 1) = (y / x) \ 1.
(x \ (L(x \ 1,y,z) \ 1)) \ 1 = x * L(x \ 1,y,z).
((x \ 1) / y) \ 1 = (y \ 1) \ x.
((x \ 1) \ y) \ 1 = (y \ 1) / x.
T(x \ (x / y),z) = x \ (x / T(y,z)).
x * T(K(y,x) * (y / x),z) = T(x / y,z) \ x.
T(K(x,y) * z,x \ 1) = T(x,y) * (z / x).
T(x,y * T(z,u \ 1)) = T(x,y * (u * (z / u))).
T((x * (y / x)) * z,y) = K(x,y) * (z * y).
x * (K(y,T(x,z)) * T(y / x,z)) = T(x / y,z) \ x.
K(x,y) * T(z,y \ x) = (y / x) * (z / (x \ y)).
K(x,T(y,z)) * (y * T(x / y,z)) = T(y / x,z) \ y.
L((x * y) \ x,z,u) * (y * x) = y * (x * L(x \ (y \ x),z,u)).
(x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(((x / y) * y) \ z,u,w).
(x * y) * L(y \ (x \ y),z,u) = x * (y * L(y \ (x \ y),z,u)).
K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u).
K(L(x,y,z),x \ 1) = K(u,u \ 1).
(x * (y * (z * T(z \ 1,L(z,u,w))))) * K(v5,v5 \ 1) = x * y.
(x * y) * K(z \ 1,z) = x * (y * (u * T(u \ 1,L(u,w,v5)))).
L(x * T(x \ 1,L(x,y,z)),u,w) = K(v5 \ 1,v5).
(a(x,y,z) \ u) * (u \ (w \ u)) = u * ((a(x,y,z) * (w * u)) \ u).
(x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)).
(x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)).
(x * y) \ (T(x,y) * L(x \ (y * x),z,u)) = ((y * x) \ x) * L(((y * x) \ x) \ 1,z,u).
x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) * L((x \ (y * x)) \ 1,z,u).
x \ ((x / y) * L((x / y) \ x,z,u)) = (x \ (x / y)) * L(L(y \ 1,y,x) \ 1,z,u).
(x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x,y) * L(((x \ y) \ y) \ 1,z,u).
(L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w).
(x * (L(x,y,z) * u)) \ ((x * L(x,y,z)) * u) = a(L(x,y,z),x,u).
L(x / y,z,u) \ (x * (y \ x)) = x * ((L(x / y,z,u) * y) \ x).
(L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u).
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
(x * L(y,z,u)) / y = (x / y) * L(y,z,u).
((x * y) * z) * L(z,y,x) = (x * (y * z)) * z.
((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y.
((x * y) / z) * L(z,y,x) = (x * (y * z)) / z.
(x / y) * L(y,z,x / z) = ((x / z) * (z * y)) / y.
L(x,y,L(x,z,u)) = ((w / x) * L(x,v5,v6)) \ (w * L(x,v5,v6)).
((x * y) * z) * (((x * (y * z)) * z) \ ((x * y) * z)) = ((x * y) * z) / L(z,y,x).
L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x).
((L(x,y,z) \ x) / u) \ ((x * ((L(x,y,z) \ 1) * u)) / u) = L(u,L(x,y,z) \ 1,x).
T(x,y) \ (z * K(x,T(T(z,y),z))) = T(x * K(z,x),y) \ z.
T(x,y) \ (z * K(x,T(z,y))) = T(x * K(z,x),y) \ z.
T(x,y) \ (z * K(x,T(z,y))) = T(T(x,z \ x),y) \ z.
T(x,y) \ T(z,T(x,y) \ z) = T(T(x,z \ x),y) \ z.
T(T(x,y \ x),z) \ y = y / T(x,z).
x \ (x / T(T(y,x \ y),z)) = (x / T(y,z)) / x.
T(x \ (x / T(y,x \ y)),z) = (x / T(y,z)) / x.
T(x \ ((x / y) * K(y,x)),z) = (x / T(y,z)) / x.
T(x \ (K(y,x) * (x / y)),z) = (x / T(y,z)) / x.
T(T(x,y) \ (x / y),z) = (x / T(y,z)) / x.
(x / T(y,z)) / x = T((x / y) / x,z).
x / (x * T(y,z)) = T((x / y) / x,z).
x / (x * T(y,z)) = T(x / (x * y),z).
L(x \ (x / y),z,u) * (y * x) = y * (x * L(x \ (y \ x),z,u)).
x \ (y * L(y \ (x \ y),z,u)) = (x \ y) * L(y \ (x \ y),z,u).
((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w).
a(L(x,y,z),x,u) != w | a(x,L(x,y,z),u) = w.
L(x / y,z,u) \ (x * (y \ x)) = x * ((y * L(y \ x,z,u)) \ x).
(x \ (y * z)) * L((x \ (y * z)) \ z,u,w) = x \ ((y * L(y \ x,u,w)) * z).
L(x \ (x / y),z,u) * (y * x) = (y * x) * L(x \ (y \ x),z,u).
(x * (y * T(z,u))) / (x * y) = T((x * (y * z)) / (x * y),u).
(x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)).
(K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z).
L(L(x,y,K(z,u)),K(z,u) * y,w) = L(x,y,w * K(z,u)).
L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)).
L(x,y,z * K(y,u)) = L(x,T(y,u),z).
(x * y) * L(z,x,y * K(x,y)) = y * (T(x,y) * z).
L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z).
L(x,y,K(z,u) * w) = L(x,y,w).
L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5.
L(x,y,z * K(u,z)) = L(x,y,z).
L(x,y,T(z,u)) = L(x,y,z).
L(x,y,T(z,u) * w) = L(x,y,z * w).
L(x,y,z / u) = L(x,y,u \ z).
L(x,y,z * u) = L(x,y,u * z).
L(x,y,z * K(u,w)) = L(x,y,z).
L(x,T(y,z),z) = L(x,y,z).
(x * y) * L(z,x,y) = y * (T(x,y) * z).
L(T(x \ 1,y),x,y) = (x * y) \ y.
L(x \ y,x,x \ z) = z \ ((z / x) * y).
x * L(y,z,z \ x) = (x / z) * (z * y).
x / L(y,z,(z * y) \ x) = (x / (z * y)) * z.
x / L(y,z,z \ x) = (x / (z * y)) * z.
(x / y) * L(y,z,z \ x) = ((x / z) * (z * y)) / y.
L(L(x,y,z) \ u,L(x,y,z),y * z) = (z * (y * x)) \ ((z * y) * u).
L(x \ 1,x,y * z) = (z * y) \ ((z * y) / x).
L(x,K(y,z) * u,w) = L(x,u,w).
L(x,T(y,z),u) = L(x,y,u).
L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)).
L(x,y,z \ (u \ T(w,v5))) = L(x,y,z \ (u \ w)).
L(L(x,y,z),u,K(w,v5)) = L(x,T(y,v6),z).
L(x,y / z,u) = L(x,z \ y,u).
(x * T(y,z)) * L(u,y,x) = x * (T(y,z) * u).
L(x,y \ (y / z),u) = L(x,y \ (z \ y),u).
(x * T(y,z)) * L(L(u,y,x),w,v5) = x * (T(y,z) * L(u,w,v5)).
L(x,(y / z) * u,w) = L(x,(z \ y) * u,w).
L(x,(T(y,z) / u) * w,v5) = L(x,(y / u) * w,v5).
L(x,y * K(z,u),w) = L(x,y,w).
L(x,x \ y,z) = (z * (y / x)) \ (z * y).
(x * y) / L(z,z \ y,x) = x * (y / z).
L(x,y \ K(z,u),w) = L(x,y \ 1,w).
L(x,y \ T(z,u),w) = L(x,y \ z,w).
L(x \ 1,x,y) * y = y * ((x * y) \ y).
L(x,y,z * T(u,w)) = L(x,y,u * z).
K(x,y) * (z * ((z \ K(y,x)) * u)) = L(u,z \ 1,z).
L(x,y,z * u) != w | L(x,y,u * z) = w.
x * (T(y,x) * T(z,y * x)) = L(z,y,x) * (y * x).
(x * y) * L((x * y) \ z,x,y) = y * (x * ((y * x) \ z)).
((x * y) / z) * L(z,x,y) = (y * (T(x,y) * z)) / z.
(K(x,y) * z) * (T(u,K(x,y) * z) * w) = (u * (K(x,y) * z)) * L(w,u,z).
(x * y) \ (((x * y) / x) * z) = L(x \ z,x,y).
(1 / x) * (x * y) = L(y,x,x \ 1).
(x \ 1) * (x * y) = L(y,x,x \ 1).
L(x \ y,x,x \ 1) = (x \ 1) * y.
R(x,y,y \ 1) = L(x,y,y \ 1).
(x * y) * (y \ 1) = L(x,y,y \ 1).
L(x / y,y,y \ 1) = x * (y \ 1).
(x * (y / (x \ 1))) * (x \ 1) = L((x \ 1) \ y,x,x \ 1).
L(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z).
(x / (y * L(y \ x,z,u))) * y = x / L(y \ x,z,u).
L(x,T(y,z),u) != w | L(x,y,u) = w.
(x * ((L(y,z,u) * w) / y)) \ (x * (L(y,z,u) * w)) = L(y,L(y,z,u) * (y \ w),x).
(x * T(y,z)) / L(u,u \ y,x) = x * (T(y,z) / u).
L(x \ 1,x,y) * y = x \ y.
L(x,y,z) != u | L(x,y,z * K(w,v5)) = u.
L(x,y,(y * x) \ z) = L(x,y,y \ z).
L(x,y,y \ (y * (x * z))) = L(x,y,L(z,x,y)).
L(x,y,y \ (z * (y * x))) = L(x,y,T(z,y * x)).
L(x \ 1,x,x \ y) = L(x \ 1,x,y).
L(L(x \ 1,x,y),(x \ y) * x,z) = (z * ((x \ y) * x)) \ (z * (x \ y)).
(x * T(y,z)) * u != x * (T(y,z) * w) | L(w,y,x) = u.
L(L(x,y,z) \ u,L(x,y,z),z * T(y,w)) = (z * (T(y,w) * x)) \ ((z * T(y,w)) * u).
(x * y) \ ((x * (y / x)) * z) = L(x \ z,x,y).
L(x,y,L(z,x,y)) = L(x,y,x * z).
L(x,y,L(L(z,x,y),u,w)) = L(x,y,x * L(z,u,w)).
(x * ((y * (z / y)) \ (y * z))) \ (y * z) = L(y \ (x \ (y * z)),y,z).
L(x,y,z \ (u \ (w / v5))) = L(x,y,z \ (u \ (v5 \ w))).
L(x,(y \ T(z,u)) * w,v5) = L(x,(z / y) * w,v5).
L(x,y,y \ (z * (y * x))) = L(x,y,z).
L(x,y,y * x) = L(x,y,y).
L(x,y,y \ ((z * y) * x)) = L(x,y,R(z,y,x)).
L(x,(y \ T(z,u)) * w,v5) = L(x,(y \ z) * w,v5).
(((x * y) / z) * (z * y)) / y = x * L(y,z,z \ (x * y)).
(x / y) * (((y \ 1) \ x) \ (((y \ 1) \ x) / (y \ 1))) = ((x / (y \ 1)) * ((y \ 1) * y)) / y.
x \ ((x / L(y,z,z \ x)) * y) = (((x / z) * (z * y)) / y) \ x.
x * (T(y,x) * T(T(z,y * x),u)) = L(T(z,u),y,x) * (y * x).
a(x,y,z) * (u * T(w,u * a(x,y,z))) = L(w,u,a(x,y,z)) * (u * a(x,y,z)).
L(x,y,z) = ((y * z) / x) \ ((z * (T(y,z) * x)) / x).
(a(x,y,z) \ (u * w)) \ ((w * (T(u,w) * a(x,y,z))) / a(x,y,z)) = L(a(x,y,z),u,w).
((L(x,y,z) \ x) / u) \ (((L(x,y,z) \ 1) * (T(x,L(x,y,z) \ 1) * u)) / u) = L(u,x,L(x,y,z) \ 1).
(x / (y * L(y \ x,z,u))) * y = L(x / y,z,u) \ x.
L(x,y,(z \ (u \ (w / v5))) * K(v6,v7)) = L(x,y,z \ (u \ (v5 \ w))).
x * (y * L(y \ z,x,y)) = y * (x * ((y * x) \ (x * z))).
x * (y * ((x * y) \ (y * z))) != y * u | x * L(x \ z,y,x) = u.
(((x * T(y,z)) / L(u,y,x)) * L(L(u,y,x),w,v5)) \ (x * (T(y,z) * L(u,w,v5))) = L(u,y,x).
(((x / y) * (y * z)) / z) \ x = x \ (((x / (y * z)) * y) * z).
(((x / y) * (y * z)) / z) \ x = a((y * z) \ x,y,z).
((((x * y) / T(x,y)) * (T(x,y) * z)) / z) \ (x * y) = a((x * z) \ (y * x),T(x,y),z).
L(x,y,z \ ((u \ (w / v5)) * K(v6,v7))) = L(x,y,z \ (u \ (v5 \ w))).
L(x,y,z \ (u \ ((w / v5) * K(v6,v7)))) = L(x,y,z \ (u \ (v5 \ w))).
L(x,y,z \ (u \ (T(w,v5) \ v6))) = L(x,y,z \ (u \ (v6 / w))).
L(x,y,z \ (u \ (T(w,v5) \ v6))) = L(x,y,z \ (u \ (w \ v6))).
L(x \ (y \ (x * z)),x,z) = (y * x) \ (x * z).
T(x * K(y / z,T(z,y)),y / z) = K(T(z,y),z / y) * T(x,z \ y).
(x * (y \ x)) * L(x \ y,z,u) = x * (y \ (x * L(x \ y,z,u))).
T(x,L(y,z,u) * ((y \ w) * (y * v5))) = T(x,T(L(y,z,u) * w,y) * v5).
(x * ((y \ z) * y)) \ (x * (y \ z)) = L(L(y \ 1,y,z),T(z,y),x).
(x * ((y \ z) * y)) \ (x * (y \ z)) = L(L(y \ 1,y,z),z,x).
(x * T(y,z)) \ (x * (z \ y)) = L(L(z \ 1,z,y),y,x).
T(x * K(y / z,T(z,y)),y / z) = K(z,T(z / y,y)) * T(x,z \ y).
T(x * K(y / z,T(z,y)),y / z) = K(z,y \ z) * T(x,z \ y).
T(x * K(y / z,T(z,y)),y / z) = K(y,z) * T(x,z \ y).
T(x * K(T(y,z),y / z),z / y) = K(z,y) * T(x,y \ z).
T(x * K(y,T(y / z,z)),z / y) = K(z,y) * T(x,y \ z).
T(x * K(y,z \ y),z / y) = K(z,y) * T(x,y \ z).
T(x * K(y,z),y / z) = K(y,z) * T(x,z \ y).
T(x * K(y,z),y / z) = (z / y) * (x / (y \ z)).
((x / y) * z) / (y \ x) = T(z * K(y,x),y / x).
x / (y \ ((x / z) * y)) = T(z * K(y,x),y / x).
T(x * K(y,z),y / z) = z / T(z / x,y).
(x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x * K(y,z),u,w).
(K(x,y) * (z * (u * w))) \ ((K(x,y) * (z * u)) * w) = a(K(x,y) * z,u,w).
(x * y) * R(L(y \ z,y,x),u,w) = (x * y) * R((x * y) \ (x * z),u,w).
(K(x,y) * ((z * (u * w)) \ ((z * u) * w))) * K(y,x) = a(z,u,w * K(y,x)).
(((x * y) \ 1) * (z \ 1)) / ((z * x) \ 1) = R(1 / y,x \ 1,z \ 1).
((x * (y * z)) \ 1) / ((x * y) \ 1) = R(1 / z,y \ 1,x \ 1).
((x * (y * z)) \ 1) / ((x * y) \ 1) = R(z \ 1,y \ 1,x \ 1).
1 / ((x * y) \ ((x * (y * z)) * 1)) = R(z \ 1,y \ 1,x \ 1).
1 / ((x * y) \ (x * (y * z))) = R(z \ 1,y \ 1,x \ 1).
R(x \ 1,y \ 1,z \ 1) = 1 / L(x,y,z).
R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1.
R(x,y \ 1,z \ 1) = L(1 / x,y,z) \ 1.
R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1.
R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ 1.
R(x \ 1,y \ 1,z) = L(x,y,z \ 1) \ 1.
T(x,L(y,z,u) \ 1) = T(x,y \ 1).
T(x * L(y,z,u),y \ 1) = L(y,z,u) * x.
L(x \ 1,y,z \ 1) \ 1 = R(x,y \ 1,z).
(x \ R(x,y \ 1,z \ 1)) \ 1 = x * L(x \ 1,y,z).
R(x,x \ 1,(x \ y) \ 1) = L(x \ 1,x,y) \ 1.
L(x \ 1,y,y \ 1) = L(x,y \ 1,y) \ 1.
R(x \ 1,y \ 1,z) != u \ 1 | L(x,y,z \ 1) = u.
T(L(x,y,z) * u,x) = u * L(x,y,z).
(x * L(y,z,u)) / y = y \ (L(y,z,u) * x).
L(x \ 1,y,z \ 1) = R(x,y \ 1,z) \ 1.
(x * L(y,z,u)) / y = L(y,z,u) * (y \ x).
x \ (L(x,y,z) * (z * y)) = (z * (y * x)) / x.
R(x,y \ 1,y) = L(x,y \ 1,y).
(x * (y \ 1)) * y = L(x,y \ 1,y).
L(x,y,z) * (x \ u) = (u / x) * L(x,y,z).
L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x.
L(x,y,z) * (x \ (y * z)) = (z * (T(y,z) * x)) / x.
L(x,y,y \ z) * (x \ z) = ((z / y) * (y * x)) / x.
L(x,y,y \ (z / x)) * (x \ z) = ((z / x) / y) * (y * x).
L(x \ y,z,u) * ((y \ x) * x) = (x / (x \ y)) * L(x \ y,z,u).
((x / y) * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = L(y,y \ x,L(y,z,u)).
L(x,a(y,z,u),w) * (w * a(y,z,u)) = (x * a(y,z,u)) * w.
x \ (y * (z * T(x,y * z))) = (y * (z * x)) / x.
L(x,y,z) * ((x \ (z * y)) * K(u,w)) = ((z * (y * x)) / x) * K(u,w).
(x * y) \ (z * (L(z,y,x) \ (x * y))) = ((x * (y * z)) / z) \ (x * y).
(x \ (y * z)) \ ((y * (z * x)) / x) = L(T(x,y * z),z,y).
L(x,y,z) * (x \ (T(z,u) * y)) = (T(z,u) * (y * x)) / x.
L(x,x \ 1,(x \ y) \ 1) = L(x \ 1,x,y) \ 1.
(x \ (y * (z * x))) * K(x,y * z) = (y * (z * x)) / x.
L(x,x \ 1,(x \ y) \ 1) = R(x,x \ 1,y \ 1).
L(x,x \ 1,(x \ y) \ 1) = L(x,x \ 1,y \ 1).
((T(x,y) * K(z,u)) * (T(y,T(x,y) * K(z,u)) * w)) / w = L(w,y,T(x,y) * K(z,u)) * (w \ (x * (y * K(z,u)))).
L(K(x,y) * z,u,y) * ((K(x,y) * z) \ (u * y)) = (y * (T(u * K(x,y),y) * z)) / (K(x,y) * z).
x \ 1 != y * L(y \ 1,z,u) | y \ R(y,z \ 1,u \ 1) = x.
K(x,y * (z * x)) = K(x,y * z).
K(x,y * z) * (x \ (y * (z * x))) = (y * (z * x)) / x.
K(x,y * z) * (x \ (z * (T(y,z) * x))) = (z * (T(y,z) * x)) / x.
K(x,L(y,z,u) \ y) * (x \ (y * ((L(y,z,u) \ 1) * x))) = (y * ((L(y,z,u) \ 1) * x)) / x.
L(x,y,y \ (x \ z)) * (x \ z) = ((z / x) / y) * (y * x).
(x * a(y,z,a(u,w,v5))) * v6 = x * (v6 * a(y,z,a(u,w,v5))).
L(x \ y,z,u) * ((y \ x) * x) = (x * (y \ x)) * L(x \ y,z,u).
K(x,L(y,z,u) \ y) * (x \ ((L(y,z,u) \ 1) * (T(y,L(y,z,u) \ 1) * x))) = ((L(y,z,u) \ 1) * (T(y,L(y,z,u) \ 1) * x)) / x.
L(x \ y,z,u) * ((y \ x) * x) = x * (y \ (x * L(x \ y,z,u))).
(x * y) \ T((L(z,y,x) \ (x * y)) * z,L(z,y,x) \ (x * y)) = ((x * (y * z)) / z) \ (x * y).
L(x,y,z) * T(u,x) = u * L(x,y,z).
L(x \ (x / y),z,u) * T(x * y,x \ (x / y)) = x * (y * L(y \ 1,z,u)).
T(x,L(y,z,u)) = T(x,y).
L(R(x,y,z),u,w) * T(v5,x) = v5 * L(R(x,y,z),u,w).
T(x * L(y,z,u),y) = T(x,y) * L(y,z,u).
T(x,L(y,z,u)) = K(x,y) * x.
T(x,L(y,z,u)) = x / K(y,x).
L(x,y,z) \ (z * (y * x)) = T(z * y,x).
T(x * L(x \ y,z,u),x \ y) = x * L(y / x,z,u).
T(x,(y * z) \ u) = T(x,z \ (y \ u)).
T(x,y) / L(y,z,u) = L(y,z,u) \ x.
T(x,(y \ z) \ u) = T(x,z \ (y * u)).
T(x,(y * (z * u)) \ ((y * z) * w)) = T(x,L(u,z,y) \ w).
T(x,(y \ 1) * z) = T(x,y \ z).
(x * y) \ ((x * (y * z)) * K(u,T(w,z))) = K(u,w) * L(z,y,x).
K(x,L(y,z,u)) = K(x,y).
K(x,(y * z) \ u) = K(x,z \ (y \ u)).
K(L(x,y,z),u) = K(x,u).
T(x,L(y,z,u)) != w | T(x,y) = w.
T(x,((y \ 1) * z) \ u) = T(x,((z \ 1) * y) * u).
x * (T(y \ 1,x) * T(z,y \ x)) = L(z,y \ 1,x) * ((y \ 1) * x).
T(x,(y * z) \ u) != w | T(x,z \ (y \ u)) = w.
T(x,(y \ 1) * z) != u | T(x,y \ z) = u.
T(x,(y * a(z,u,w)) \ v5) = T(x,y \ (a(z,u,w) \ v5)).
T(x,L(y \ z,y,y \ (u * w))) = T(x,w \ (u \ (((u * w) / y) * z))).
(x * y) / L(y,z,u) = L(y,z,u) \ (y * x).
K(x,T(y,y \ (z * u))) = K(x,T(T(y,z),u)).
L(x,y,z) = (z * (y * x)) / T(z * y,x).
x \ (y * (a(z,u,a(w,v5,v6)) * x)) = T(y * a(z,u,a(w,v5,v6)),x).
T(x,((y \ 1) * z) * u) != w | T(x,y \ (z * u)) = w.
(x * (a(y,z,u) * w)) / T(x * w,a(y,z,u)) = L(a(y,z,u),w,x).
L(x,y,z) * K(z * y,x) = (z * (y * x)) / (z * y).
(x * y) / L(y,z,u) = y * (L(y,z,u) \ x).
K(x,T(T(y,z),u)) = K(x,T(y,z * u)).
K(x,T(y,z \ u)) = K(x,T(y,z * u)).
K(x,T(y,(z / u) * z)) = K(x,T(y,u)).
K(x,T(y,z * (u \ z))) = K(x,T(y,u)).
K(x,T(y,z \ (u \ z))) = K(x,T(y,u)).
K(x,T(y,T(z,u))) = K(x,T(y,z)).
T(K(x,y),T(z,u)) = K(x,T(y,z)).
T(K(x,y),T(z,u)) = T(K(x,y),z).
K(K(x,y),K(z,u)) = 1.
K(x,K(y,K(z,u))) = 1.
T(x,K(y,K(z,u))) = x.
K(x,K(y,z)) * u = u * K(x,K(y,z)).
T(x,K(y,z) * u) = T(x,u * K(y,z)).
T(x,K(y,K(z,u)) * w) = T(x,w).
T(x,T(y,K(z,u))) = T(x,y).
T(x,T(y,T(z,u))) = T(x,T(y,z)).
K(x,K(y,K(z,u)) * w) = x \ T(x,w).
T(x,T(T(y,z) * u,y)) = T(x,u * T(y,z)).
T(x,T((y * (z / y)) * u,z)) = T(x,u * (y * (z / y))).
x \ (y * K(z,K(u,w))) = K(z,K(u,w)) * (x \ y).
K(x,T(K(y,z),u)) = K(x,K(y,z)).
T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w).
T(T(x,y),K(z,u)) = T(x,y * K(z,u)).
K(x,K(y,K(z,u)) * w) = K(x,w).
T(K(x,K(y,z)) * u,w) \ T((K(x,K(y,z)) * u) * K(v5,u),w) = K(v5,T(K(x,K(y,z)) * u,w)).
K(x,y) * (T(z,u * K(x,y)) * w) = T(z,u) * (K(x,y) * w).
(x * (L(x,y,z) \ u)) \ (u * x) = L(x,y,z).
(x \ y) * (L(x \ y,z,u) \ x) = y / L(x \ y,z,u).
x * (L(x,y,z) \ (u / x)) = u / L(x,y,z).
T(x,T(y * T(z,u \ z),K(z,u))) = T(x,y * T(z,u)).
x * (L(x,y,R(z,y,x)) \ (z * y)) = R(z,y,x) * y.
T(x,y \ ((z \ 1) \ u)) = T(x,((y \ 1) * z) * u).
x \ (y * K(z,K(u,w))) != K(z,K(u,w)) * v5 | x \ y = v5.
K(x,T(K(y,K(z,u)) * w,v5)) = K(x,T(w,v5)).
T(x,((y \ 1) * z) * T(u,z)) = T(x,y \ (u / (z \ 1))).
T((x \ T(y,z)) * L((x \ T(y,z)) \ y,u,w),(x \ T(y,z)) \ y) = (x \ T(y,z)) * L(K(z,y) * x,u,w).
T(x,a(y,z,u) \ (w \ v5)) = T(x,w \ (a(y,z,u) \ v5)).
T(x,K(y,z) * (u * z)) = T(x,u * (y * (z / y))).
(x \ y) * (L(x \ y,z,u) \ x) = L(y / x,z,u) \ y.
T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)).
T(x,y * (z * (u / z))) = T(x,y * T(u,z)).
T(x,y * T(z,u \ 1)) = T(x,y * T(z,u)).
T(x,y \ (z / (u \ 1))) = T(x,y \ (u * T(z,u))).
T(x,((y \ 1) * z) * T(u,z \ 1)) = T(x,y \ (u / (z \ 1))).
T(x,y \ (z / (u \ 1))) = T(x,y \ (z * u)).
T(x,y \ (a(z,u,w) \ v5)) = T(x,y \ v5).
T(x,y \ ((z * u) * w)) = T(x,y \ (z * (u * w))).
T(x,y \ ((y * z) * u)) = T(x,z * u).
T(x,y \ ((z * a(u,w,v5)) * v6)) = T(x,y \ (a(u,w,v5) * (z * v6))).
T(x,y \ ((y * z) * u)) = T(x,(x * z) * u).
T(x,y \ (z * u)) = T(x,(y \ z) * u).
T(T(x * y,z),(u \ x) * y) = T(T(x * y,z),u \ 1).
T(T(x,y),(T(x,y) * z) * u) = T(T(x,(x * z) * u),y).
T(T(R(x,y,z) * u,w),(v5 \ u) * R(T(x,u),y,z)) = T(T(u * R(T(x,u),y,z),w),v5 \ 1).
((T(x,y) * z) * u) / T(T(x,(x * z) * u),y) = x \ ((x * z) * u).
T(x,(y * z) \ (u \ ((u * y) * w))) = T(x,L(z,y,u) \ w).
T(x,y \ (z * T(u,z \ 1))) = T(x,y \ (u / (z \ 1))).
T(x,y \ (z * T(u,z \ 1))) = T(x,y \ (u * z)).
T(x,(y \ z) * T(u,z \ 1)) = T(x,y \ (u * z)).
T(x,(y \ z) * T(u,z \ 1)) = T(x,(y \ u) * z).
T(x,(y \ z) * T(u,z)) = T(x,(y \ u) * z).
(x * y) \ (x * ((y * z) * K(u,T(w,z)))) = K(u,w) * L(z,y,x).
(x * y) \ (x * (y * (z * K(u,T(w,z))))) = K(u,w) * L(z,y,x).
(x * y) \ (x * (y * (K(z,u) * w))) = K(z,u) * L(w,y,x).
L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w).
L(K(x,y) * z,u,w) * v5 = K(x,y) * (L(z,u,w) * v5).
(x \ y) * L(K(x,y) * z,u,w) = (y / x) * L(z,u,w).
(x \ T(y,z)) * L(K(z,y) * u,w,v5) = (x \ y) * L(u,w,v5).
L(K(x,y) * z,u,w) * v5 != v6 | K(x,y) * (L(z,u,w) * v5) = v6.
x * L(K(y,T(z,x)) * u,w,v5) = K(y,z) * (x * L(u,w,v5)).
T(x,y) * L(K(y,x) * (x \ z),u,w) = L(z / x,u,w) * x.
(x \ y) * L((z / T(x,y)) \ u,w,v5) = (y / x) * L((z / x) \ u,w,v5).
(x \ T(y,z)) * L((u \ T(y,z)) \ w,v5,v6) = (x \ y) * L((u \ y) \ w,v5,v6).
K(x,y) * (z * L(z \ u,w,v5)) = z * L(z \ (K(x,y) * u),w,v5).
T(x,y) * L(T(x,y) \ z,u,w) = L(z / x,u,w) * x.
T(x,y) * L(T(x,y) \ z,u,w) = x * L(x \ z,u,w).
(x * (a(y,z,u) * w)) / (x * w) = L(a(y,z,u),w,x).
x \ T(x,y \ (a(z,u,w) * (v5 * v6))) = K(x,y \ ((v5 * a(z,u,w)) * v6)).
((T(x,y) * z) * u) / T(T(x,z * u),y) = x \ ((x * z) * u).
K(x,y) * (z * L(z \ (K(y,x) * u),w,v5)) = z * L(z \ u,w,v5).
K(x,y) * (z * L(z \ 1,u,w)) = z * L(z \ K(x,y),u,w).
K(x,y) * ((z * L(z \ (K(y,x) * u),w,v5)) * v6) = (z * L(z \ u,w,v5)) * v6.
R(x,K(y,z),u * L(u \ (K(z,y) * w),v5,v6)) * T(K(y,z) * (u * L(u \ (K(z,y) * w),v5,v6)),v7) = (x * K(y,z)) * ((u * L(u \ (K(z,y) * w),v5,v6)) * K(u * L(u \ w,v5,v6),v7)).
T(x,y \ (z \ (((z * y) / u) * w))) = T(x,u \ w).
(x / y) * L((x / y) \ z,u,w) = (y \ x) * L((y \ x) \ z,u,w).
((x \ y) * L((x \ y) \ z,u,w)) * x = y * L(y \ (z * x),u,w).
K(x,y \ ((z * a(u,w,v5)) * v6)) = K(x,y \ (a(u,w,v5) * (z * v6))).
(K(x,y) * (z * (u * w))) \ (K(x,y) * ((z * u) * w)) = a(K(x,y) * z,u,w).
(x * y) * R((x * y) \ (x * z),u,w) = (x * y) * L(R(y \ z,u,w),y,x).
(K(x,y) * a(z,u,w)) * K(y,x) = a(z,u,w * K(y,x)).
K(x,y) * (a(z,u,w) * K(y,x)) = a(z,u,w * K(y,x)).
a(x,y,z * K(u,w)) = T(a(x,y,z),K(w,u)).
a(x,y,z * K(u,w)) = a(x,y,z).
a(x,y,T(z,u)) = a(x,y,z).
a(x,y,z \ T(u,w)) = a(x,y,z \ u).
a(x,y,z \ (u * w)) = a(x,y,z \ (w * u)).
a(x,y,z * (u / z)) = a(x,y,u).
a(x,y,z / u) = a(x,y,u \ z).
a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)).
a(x,y,z / (T(u,w) * v5)) = a(x,y,z / (u * v5)).
a(x,y,K(z,u) * w) = a(x,y,w).
a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)).
a(x,y,R(T(z,u),w,v5)) = a(x,y,R(z,w,v5)).
a(x,y,z / (u \ (w * z))) = a(x,y,(u \ z) \ (w \ z)).
a(x,y,T(z,u) \ w) = a(x,y,z \ w).
a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w).
a(x,y,(z \ (z / u)) \ w) = a(x,y,(z \ (u \ z)) \ w).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,R(T(w,z * u),z,u)).
a(x,y,L(z \ 1,z,u)) = a(x,y,u \ (z \ u)).
a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,(v5 * (z * K(u,w))) \ v6).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,L(T(w,z),z,u)).
a(x,y,L(z \ 1,z,u * w)) = a(x,y,(u * w) \ ((w * u) / z)).
a(x,y,L(z \ 1,z,u)) = a(x,y,u \ (u / z)).
a(x,y,(T(z,u) * w) \ v5) = a(x,y,v5 / (z * w)).
a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5).
a(x,y,((z / u) * w) \ v5) = a(x,y,((u \ z) * w) \ v5).
a(x,y,(z \ (u * w)) \ w) = a(x,y,(z \ w) \ (u \ w)).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,L(w,z,u)).
a(x,y,L(z,z \ u,w)) = a(x,y,((z \ u) * w) \ (w * u)).
a(x,y,L(z,z \ u,w)) = a(x,y,(w * (z \ u)) \ (w * u)).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,R(w,z,u)).
a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)).
a(x,y,L(z \ 1,u \ 1,w \ 1)) = a(x,y,L(z,u,w) \ 1).
a(x,y,L(z \ 1,z,u * w)) = a(x,y,(u * w) \ (z \ (w * u))).
a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,K(w,u) * ((v5 * z) \ v6)).
a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,(v5 * z) \ v6).
a(x,y,(z * (u * (u / (u * w)))) \ v5) = a(x,y,((u / w) * z) \ v5).
a(x,y,(z * (u * (u / (u * w)))) \ v5) = a(x,y,((w \ u) * z) \ v5).
a(K(x,y) * z,u,w) = (z * (u * w)) \ ((z * u) * w).
a(K(x,y) * z,u,w) = a(z,u,w).
a(K(x,y) * z,u,w) != v5 | a(z,u,w) = v5.
a(T(x,y) \ z,u,w) = a(x \ z,u,w).
a(x * K(y,z),u,w) = a(x,u,w).
a(x \ (K(y,z) * u),w,v5) = a(x \ u,w,v5).
a(x \ T(y,z),u,w) = a(x \ y,u,w).
a(x \ (y * z),u,w) = a(x \ (z * y),u,w).
a(x \ (y / z),u,w) = a(x \ (z \ y),u,w).
a((x * y) \ z,u,w) = a((y * x) \ z,u,w).
a(x / y,z,u) != w | a(y \ x,z,u) = w.
a(x \ ((y / z) * u),w,v5) = a(x \ ((z \ y) * u),w,v5).
a((T(x,y) * z) \ u,w,v5) = a((x * z) \ u,w,v5).
a(x / (y * z),u,w) = a((z * y) \ x,u,w).
a((x * y) \ ((z * y) * x),u,w) = a(R(z,y,x),u,w).
a((x * y) \ z,u,w) != v5 | a((y * x) \ z,u,w) = v5.
a((T(x,T(y * z,u)) * z) \ T(x * (y * z),K(y * z,u)),w,v5) = a(R(y,z,T(x,T(y * z,u))),w,v5).
(x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)).
x * R((y * (y \ x)) \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)).
(x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)).
(x * y) * R(T(x,x * y),z,u) = x * (y * R(y \ (x * y),z,u)).
x * (y * R(y \ (x * y),z,u)) = R(x,z,u) * (x * y).
x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y).
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u).
(x \ y) * R((x \ y) \ y,z,u) = x \ (R(x,z,u) * y).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
((x * y) / z) * R(z,x,y) = z \ ((z * x) * y).
x \ ((x * x) * y) = R(x,x,y) * y.
(x \ (y * z)) \ (x \ ((x * y) * z)) = T(R(x,y,z),x \ (y * z)).
K(x \ (y * z),x \ ((x * y) * z)) = K(x \ (y * z),R(x,y,z)).
(x \ ((x * x) * y)) / y = R(x,x,y).
R(x,y,z) = ((y * z) / x) \ (x \ ((x * y) * z)).
(x / y) * R(y,z,z \ x) = y \ ((y * z) * (z \ x)).
L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z) = ((y * z) * x) * R(L(x \ 1,x,y * z),y,z).
T(x,(y / ((z * u) / w)) * (w \ ((w * z) * u))) = T(x,y * R(w,z,u)).
(x \ 1) \ (((x \ 1) * x) * (x \ y)) = (y / (x \ 1)) * (y \ (y / x)).
x \ (y * (R(y,z,z \ x) \ x)) = (y \ ((y * z) * (z \ x))) \ x.
(x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z).
(x \ (y * z)) \ (x \ ((x * y) * z)) = R(T(x,x \ (y * z)),y,z).
K(x \ (y * z),x \ ((x * y) * z)) = K(x \ (y * z),x).
K(x \ (y * z),x \ ((x * y) * z)) = K(y * z,x).
K(x \ (y * a(z,u,w)),x \ ((x * a(z,u,w)) * y)) = K(a(z,u,w) * y,x).
(x \ ((x * y) * (y \ z))) \ z = z \ (x * (y * ((x * y) \ z))).
T(x,y \ ((y * z) * (z \ x))) / (y \ ((y * z) * (z \ x))) = x \ (y * (z * ((y * z) \ x))).
(x * y) \ (z * (x * ((z * x) \ (x * y)))) = (z \ ((z * x) * y)) \ (x * y).
(x \ (y * z)) \ (x \ ((x * y) * z)) = R(T(x,y * z),y,z).
(x \ 1) \ (((x \ 1) * x) * (x \ y)) = y * (((y * x) * (x \ 1)) \ y).
(x \ 1) \ (((x \ 1) * x) * (x \ y)) = y * (L(y,x,x \ 1) \ y).
K(x \ (y * a(z,u,w)),x \ (a(z,u,w) * (x * y))) = K(a(z,u,w) * y,x).
T(x / y,z) \ (T(x / y,z) / u) = T(y \ x,z) \ (T(y \ x,z) / u).
T(x / y,z) \ (T(x / y,z) / u) = (y \ x) \ ((y \ x) / u).
(x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z).
(x / y) \ ((a(z,u,w) \ 1) \ (x / y)) = (y \ x) \ ((y \ x) / (a(z,u,w) \ 1)).
a(L(L(x \ 1,x,y),y * x,z),u,w) = a((z * (y * x)) \ (z * y),u,w).
(x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w).
(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) \ ((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) / z) \ (y * (x * ((y * x) \ ((x * y) / z)))) = z * L(z \ 1,x,y).
x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) * L(T(y,x) \ 1,z,u).
x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) * L(T(y \ 1,x),z,u).
x \ ((y * x) * L(x \ (y \ x),z,u)) = T(y,x) * L(T(y \ 1,x),z,u).
(x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x,y) * L(T(x,y) \ 1,z,u).
(x \ y) \ (y * L(y \ (x \ y),z,u)) = x * L(x \ 1,z,u).
T(x * L(x \ (y \ x),z,u),y \ x) = (y * L(y \ 1,z,u)) * (y \ x).
(x \ y) \ ((y / z) * (z * (y \ (x \ y)))) = x * L(x \ 1,z,z \ y).
(x \ y) \ z != x * L(x \ 1,u,u \ y) | (y / u) * (u * (y \ (x \ y))) = z.
L(x * L(x \ 1,y,y \ z),x \ z,x) = z \ (x * ((z / y) * (y * (z \ (x \ z))))).
(x \ T(K(y,z) * u,z)) * L((x \ (K(y,z) * T(u,z))) \ T(u,z),w,v5) = x \ ((K(y,z) * L(K(y,z) \ x,w,v5)) * T(u,z)).
L(x \ (x / y),z,u) * T(x * y,y \ 1) = x * (y * L(y \ 1,z,u)).
L(x \ (x / y),z,u) * (y * x) = x * (y * L(y \ 1,z,u)).
(x * y) * L(y \ (x \ y),z,u) = y * (x * L(x \ 1,z,u)).
x * (y * L(y \ (x \ y),z,u)) = y * (x * L(x \ 1,z,u)).
x \ (x * (y * L(y \ 1,z,u))) = T(y,x) * L(T(y \ 1,x),z,u).
x * (y * (z * ((y * z) \ (x \ (z * y))))) = (z * y) * (x * L(x \ 1,z,y)).
T(x,y) * L(T(x \ 1,y),z,u) != w | x * L(x \ 1,z,u) = w.
K(x,y) * ((z * L(z \ (K(y,x) * u),w,v5)) * K(v6,v7)) = z * (L(z \ u,w,v5) * K(v6,v7)).
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((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)).
((x * y) * R((x * y) \ x,z,u)) / T(x,y * R((x * y) \ x,z,u)) = (x \ (x * y)) * R((x \ (x * y)) \ 1,z,u).
((x * y) \ T(x,y)) * R(((x * y) \ T(x,y)) \ 1,z,u) = (y * x) \ (x * R(T(x,y) \ (x * y),z,u)).
(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).
x \ (y * R(y \ x,z \ 1,u \ 1)) = (x \ y) * (L(x \ y,z,u) \ 1).
x \ (y * R(y \ x,z \ 1,u \ 1)) = L(x \ y,z,u) \ (x \ y).
(x / y) \ ((a(z,u,w) \ 1) \ (x / y)) = (y \ x) \ ((a(z,u,w) \ 1) \ (y \ x)).
T(((x * y) / (T(z,u) * y)) * K(z,u),z) = R(K(z,u) * (T(z,u) \ x),T(z,u),y).
(x * (K(y,z) * u)) \ (u * (T(x * K(y,z),u) * w)) = L(w,x * K(y,z),u).
(x * (K(y,z) * u)) \ (u * (T(x * K(y,z),u) * w)) = L(w,x,u).
(x * (K(y,z) * u)) * L(w,x,u) = u * (T(x * K(y,z),u) * w).
(K(x,y) * z) * (T(u,K(x,y) * z) * w) = z * (T(u * K(x,y),z) * w).
K(x,y) * (z * (T(u,K(x,y) * z) * w)) = z * (T(u * K(x,y),z) * w).
((x * y) * z) * (((x * (y * z)) * z) \ ((x * y) * z)) = z * (L(z,y,x) \ (x * y)).
L(x,y,a(z,u,w)) * (y * a(z,u,w)) = a(z,u,w) * (x * y).
L(x,y,a(z,u,w)) * (y * a(z,u,w)) = (x * y) * a(z,u,w).
(a(x,y,z) * (u * w)) / (w * a(x,y,z)) = L(u,w,a(x,y,z)).
L(x,y,a(z,u,w)) * (a(z,u,w) * y) = a(z,u,w) * (x * y).
R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)).
L(x,x \ y,a(z,u,w)) \ (y * a(z,u,w)) = (x \ y) * a(z,u,w).
L(x,y,a(z,u,w)) * (a(z,u,w) * y) != v5 | (x * y) * a(z,u,w) = v5.
(a(x,y,z) * (u * w)) / w = w \ (a(x,y,z) * (w * u)).
((x * y) * a(z,u,w)) / y = y \ (a(z,u,w) * (y * x)).
T(a(x,y,z) * (u * w),u) = a(x,y,z) * (w * u).
T((x * y) * a(z,u,w),x) = a(z,u,w) * (y * x).
T((x * y) * a(z,u,w),x * a(v5,v6,v7)) = a(z,u,w) * (y * x).
T((x * y) * a(z,u,w),x * a(v5,v6,v7)) = L(y,x,a(z,u,w)) * (x * a(z,u,w)).
T(((x * y) / (T(z,u) * y)) * K(z,u),z) = R(z \ x,T(z,u),y).
T((x * y) / (z * y),z) = R(z \ x,T(z,u),y).
R(x \ y,T(x,z),u) = R(x \ y,x,u).
(x * y) * ((x * (y * z)) \ ((x * y) * z)) = z * (L(z,y,x) \ (x * y)).
x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x).
x * (L(x,y,z) \ (z * y)) = a(z,y,x) * (z * y).
x * (L(x,y,z) \ (z * y)) != u | a(z,y,x) * (z * y) = u.
((x * (y * z)) / z) \ (x * y) = (x * y) \ ((x * y) * a(x,y,z)).
T(a(x,y,z) * (x * y),z) = (L(z,y,x) \ (x * y)) * z.
a(x,y,z) = ((x * (y * z)) / z) \ (x * y).
a(x,y,z) \ (x * y) = (x * (y * z)) / z.
a(x,y,T(z,u)) = ((x * (y * z)) / z) \ (x * y).
(((x / y) * (y * z)) / z) \ x = a(x / y,y,z).
a(R(x,y,z),y,z) = (x * y) \ (R(x,y,z) * y).
T(a(x,y,z) \ (x * y),K(u,a(x,y,z) \ (x * y))) = (x * (y * z)) / z.
(a(x,y,z) \ (x * y)) * z = x * (y * z).
a(x,y,a(z,u,w)) \ (x * y) = (x * (a(z,u,w) * y)) / a(z,u,w).
(a(x,T(y,x),z) \ (x * T(y,x))) * z = (y * x) * L(z,y,x).
(a(x,L(x,y,z) \ 1,u) \ (L(x,y,z) \ x)) * u = x * ((L(x,y,z) \ 1) * u).
(x \ y) \ ((a(y / z,z,y \ (x \ y)) \ ((y / z) * z)) * (y \ (x \ y))) = x * L(x \ 1,z,z \ y).
(x * (y * T(z,u))) / T(z,u) = (x * (y * z)) / z.
a(x,y,T(y \ (x \ z),u)) = (z / (y \ (x \ z))) \ (x * y).
(((x / y) * (y * z)) / z) \ x = a(y \ x,y,z).
a((x * y) \ z,x,y) = a(x \ z,x,y).
a((x * y) \ z,y,x) = a(y \ z,y,x).
a(L(x \ 1,x,y * z),y,z) = a(y \ (x \ (y * z)),y,z).
a(x \ y,z,z \ x) = a(z \ y,z,z \ x).
a(x \ (((x * y) / z) * y),x,y) = a((x * z) \ (x * y),x,y).
a(L(x \ 1,x,y * z),y,z) = a(y \ ((z * y) / x),y,z).
a((x \ y) \ z,y,y \ (x \ y)) = a(y \ z,y,L(x \ 1,x,y)).
a(L(x \ 1,x,y),y,y \ z) = a(z \ (x \ y),y,y \ z).
a(x \ (y * z),z,z \ x) = a(T(y,z),z,z \ x).
(x * (T(y,x) * T(T(z,y * x),u))) / T(T(z,y * x),u) = (L(z,y,x) * (y * x)) / T(z,y * x).
a(x \ (y * z),z,z \ x) = a(y,z,z \ x).
a(L(x \ 1,x,y * z),y,z) = a(y \ (x \ (z * y)),y,z).
a(x \ ((y \ (x * z)) * z),x,z) = a((x * y) \ (x * z),x,z).
a(x,y,a(z,u,w)) \ (x * y) = a(z,u,w) \ (x * (a(z,u,w) * y)).
T(a(x,y,z) \ (x * y),K(u,x * y)) = (x * (y * z)) / z.
(x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)).
R(T(x,y * z) * K((x * y) * z,u),y,z) = (y * z) \ T((x * y) * z,u).
R(T(x,y * z) * K(y * z,x),y,z) = (y * z) \ T((x * y) * z,x).
R(x,y,z) = (y * z) \ T((x * y) * z,x).
(x * a(y,z,u)) \ T(a(y,z,u) * (w * x),w) = R(w,x,a(y,z,u)).
(T(x,y) * z) \ T(T(u * K(x,y),x) * z,x \ u) = R(x \ u,T(x,y),z).
(a(x,y,z) * u) \ (u * (a(x,y,z) * w)) = R(w,a(x,y,z),u).
R(x,a(y,z,u),w) = L(x,a(y,z,u),w).
K(x,a(y,z,u) \ (w \ T(a(y,z,u) * (v5 * w),v5))) = K(x,R(v5,w,a(y,z,u))).
(T(x,y) * z) \ T(T(u,x) * (K(x,y) * z),x \ u) = R(x \ u,T(x,y),z).
(T(x,y) * z) \ T(T(u,x) * (K(x,y) * z),x \ u) = R(x \ u,x,z).
K(x,a(y,z,u) \ (w \ T(a(y,z,u) * (v5 * w),v5))) = K(x,v5).
K(x,y \ T(a(z,u,w) * (v5 * y),v5)) = K(x,v5).
K(x,y \ (a(z,u,w) * (y * v5))) = K(x,v5).
K(x \ (y * a(z,u,w)),y) = K(a(z,u,w) * y,x).
K(x,(x * a(y,z,u)) \ w) = K(a(y,z,u) * x,w).
K(x,a(y,z,u) \ (x \ w)) = K(a(y,z,u) * x,w).
K(a(x,y,z) * u,w) = K(u,u \ w).
K(a(x,y,z) * u,w) = K(u,w).
T((x * a(y,z,u)) * K(x,w),x) = T(a(y,z,u) * x,w).
T(x * (a(y,z,u) * K(x,w)),x) = T(a(y,z,u) * x,w).
T(T(x,y) * a(z,u,w),x) = T(a(z,u,w) * x,y).
T(x * a(y,z,u),w) = T(x,w) * a(y,z,u).
T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w).
T(a(x,y,z) * u,w) = T(u,w) * a(x,y,z).
T(x * a(y,z,u),w) = a(y,z,u) * T(x,w).
T(x * a(y,z,u),T(w,x)) = T(x,w) * a(y,z,u).
T(x * a(y,z,a(u,w,v5)),v6) * v7 = T(x,v6) * (v7 * a(y,z,a(u,w,v5))).
T(x,y) \ T(a(z,u,w) * x,y) = a(z,u,w).
T(a(x,y,a(z,u,w)) * v5,v6) * v7 = T(v5,v6) * (v7 * a(x,y,a(z,u,w))).
T(x * a(y,z,u),T(w,x)) = T(a(y,z,u) * x,w).
a(x * K(y,z),u,w) != v5 | a(x,K(y,z) * u,w) = v5.
a(x,K(y,z) * u,w) = a(x,u,w).
a(x,T(y,z),u) = a(x,y,u).
a(x,y,z) = ((y * x) * z) / (x * (T(y,x) * z)).
(a(x,y,z) \ (x * T(y,x))) * z = (y * x) * L(z,y,x).
(a(x,y,z) * (u * w)) / (w * (T(u,w) * a(x,y,z))) = a(w,u,a(x,y,z)).
(a(x,y,z) \ (y * x)) * z = (y * x) * L(z,y,x).
(a(x,y,z) \ (y * x)) * z = x * (T(y,x) * z).
(a(L(x,y,z) \ 1,x,u) \ (L(x,y,z) \ x)) * u = (L(x,y,z) \ 1) * (T(x,L(x,y,z) \ 1) * u).
(a(x,y,z) * (u * w)) / (w * T(a(x,y,z) * u,w)) = a(w,u,a(x,y,z)).
(a(x,y,z) * (u * w)) / ((a(x,y,z) * u) * w) = a(w,u,a(x,y,z)).
((a(x,y,z) * u) * w) \ (a(x,y,z) * (u * w)) = a(w,u,a(x,y,z)).
(x * (L(y,z,u) * (w / y))) \ (x * (L(y,z,u) * w)) = L(y,L(y,z,u) * (y \ w),x).
(x * (L(y,z,u) * (T(T(w,L(y,z,u)),v5) / y))) \ (x * (T(w,v5) * L(y,z,u))) = L(y,L(y,z,u) * (y \ T(T(w,L(y,z,u)),v5)),x).
(x * ((y \ K(z,u)) * w)) \ ((x * (y \ K(z,u))) * w) = a(x,y \ 1,K(z,u) * w).
a(x,y \ 1,K(z,u) * w) != v5 | a(x,y \ K(z,u),w) = v5.
a(x,y \ K(z,u),w) = a(x,y \ 1,w).
(x * (y * z)) \ (R(x,y,L(z,y,x)) * (y * z)) = a(x,y,L(z,y,x)).
L(L(x,y,z),u,w) * K(z * y,L(x,y,z)) = (z * (y * L(x,u,w))) / (z * y).
L(L(x,y,z),u,w) * K(z * y,x) = (z * (y * L(x,u,w))) / (z * y).
L(L(x,y,z) * K(z * y,x),u,w) = (z * (y * L(x,u,w))) / (z * y).
L((x * (y * z)) / (x * y),u,w) = (x * (y * L(z,u,w))) / (x * y).
L((x \ 1) \ y,x \ 1,z) * ((x \ 1) * z) = T(T(z,x) * y,T(z,x) * (x \ 1)).
(x \ (x / y)) * L(L(y \ 1,y,x) \ 1,z,u) = x \ ((x / y) * L(y,z,u)).
(x \ (x / y)) * L(R(y,y \ 1,x \ 1),z,u) = x \ ((x / y) * L(y,z,u)).
(x \ (x / y)) * L(L(y,y \ 1,x \ 1),z,u) = x \ ((x / y) * L(y,z,u)).
L(L(x,y,z) \ L(u,y,z),L(x,y,z),z * T(y,w)) = (z * (T(y,w) * x)) \ (z * (T(y,w) * u)).
(a(x,y,z) \ (u * w)) \ ((w * T(a(x,y,z) * u,w)) / a(x,y,z)) = L(a(x,y,z),u,w).
a((x * y) \ (z * x),T(x,z),y) = ((z * (T(x,z) * y)) / y) \ (x * z).
a((x * y) \ (z * x),x,y) = ((z * (T(x,z) * y)) / y) \ (x * z).
(a(x,y,z) \ (u * w)) \ (((a(x,y,z) * u) * w) / a(x,y,z)) = L(a(x,y,z),u,w).
(a(x,y,z) \ (u * w)) \ (a(x,y,z) \ ((a(x,y,z) * u) * w)) = L(a(x,y,z),u,w).
R(T(a(x,y,z),u * w),u,w) = L(a(x,y,z),u,w).
R(a(x,y,z),u,w) = L(a(x,y,z),u,w).
L(a(x,y,z),u,w) * (u * w) = (a(x,y,z) * u) * w.
(a(x,y,z) \ L(a(x,y,z),u \ 1,w \ 1)) \ 1 = a(x,y,z) * L(a(x,y,z) \ 1,u,w).
((x * y) * T(z,u)) / ((y * z) * L(K(z,u),z,x * y)) = R(R(x,y,z),y * z,L(K(z,u),z,x * y)).
L(x * K(y,z),u,w) * ((x * K(y,z)) \ v5) = K(z,y) * (x \ (L(x,u,w) * (K(y,z) * v5))).
T(T(x * K(y,z),y * (z \ 1)) * (z \ 1),z) = T(z \ 1,y) * T(x,(z \ 1) * y).
T(T(x * K(y,z),y / z) * (z \ 1),z) = T(z \ 1,y) * T(x,(z \ 1) * y).
T(x \ 1,y) * T(z,(x \ 1) * y) = (x \ 1) * T(z * K(y,x),y / x).
(x \ 1) * T(y * K(z,x),z / x) = T(x \ 1,z) * T(y,x \ z).
(x * y) \ (T(x,y) * L(x \ (y * x),z,u)) = (x \ (y \ x)) * L(((y * x) \ x) \ 1,z,u).
(x / y) * (((y \ 1) \ x) \ ((y \ 1) \ (x / (y \ 1)))) = ((x / (y \ 1)) * ((y \ 1) * y)) / y.
T(x,y * (y \ x)) / (z \ ((z * y) * (y \ x))) = x \ (z * (y * ((z * y) \ x))).
T(x,x) / (y \ ((y * z) * (z \ x))) = x \ (y * (z * ((y * z) \ x))).
x / (y \ ((y * z) * (z \ x))) = x \ (y * (z * ((y * z) \ x))).
K(x,y) * ((z * L(z \ (K(y,x) * u),w,v5)) * K(v6,v7)) = z * L((z \ u) * K(v6,v7),w,v5).
L(a(x,y,z),u \ 1,w \ 1) \ a(x,y,z) = a(x,y,z) * L(a(x,y,z) \ 1,u,w).
L(x * K(y,z),u,w) * ((x * K(y,z)) \ v5) = K(z,y) * (L(x,u,w) * (x \ (K(y,z) * v5))).
(x * y) \ (T(x,y) * L(x \ (y * x),z,u)) = (x \ (y \ x)) * L((x \ (y \ x)) \ 1,z,u).
((x / (y \ 1)) * ((y \ 1) * y)) / y = (x / y) * (x \ (x / (y \ 1))).
((x / (y \ 1)) * ((y \ 1) * y)) / y = x * (((x * (y \ 1)) * y) \ x).
K(x,y) * (z * (L(z \ (K(y,x) * u),w,v5) * K(v6,v7))) = z * L((z \ u) * K(v6,v7),w,v5).
L(x * K(y,z),u,w) * (K(z,y) * (x \ v5)) = K(z,y) * (L(x,u,w) * (x \ (K(y,z) * v5))).
(x * y) \ (T(x,y) * L(x \ (y * x),z,u)) = x \ ((y \ x) * L((y \ x) \ x,z,u)).
(x * y) \ (T(x,y) * L(x \ (y * x),z,u)) = x \ (L(y,z,u) * (y \ x)).
(x * y) \ (T(x,y) * L(T(y,x),z,u)) = x \ (L(y,z,u) * (y \ x)).
(x * y) \ T(T(x,y) * L(y,z,u),x) = x \ (L(y,z,u) * (y \ x)).
(x * y) \ T(T(x * L(y,z,u),y),x) = x \ (L(y,z,u) * (y \ x)).
(x * y) \ T(L(y,z,u) * x,y) = x \ (L(y,z,u) * (y \ x)).
(x * y) \ (x * L(y,z,u)) = x \ (L(y,z,u) * (y \ x)).
K(x,y) * (z * L((z \ (K(y,x) * u)) * K(w,v5),v6,v7)) = z * L((z \ u) * K(w,v5),v6,v7).
L(x,y,z) * (K(u,w) * (K(w,u) * (x \ v5))) = K(w,u) * (L(x,y,z) * (x \ (K(u,w) * v5))).
K(x,y) * (L(z,u,w) * (z \ (K(y,x) * v5))) = L(z,u,w) * (z \ v5).
L(K(x,y) * z,u,w) * (z \ (K(y,x) * v5)) = L(z,u,w) * (z \ v5).
L(K(x,y) * z,u,w) * ((K(x,y) * z) \ v5) = L(z,u,w) * (z \ v5).
(K(x,y) * z) \ L(K(x,y) * z,u \ 1,u) = a(u,u \ K(x,y),z) \ 1.
(K(x,y) * z) \ L(K(x,y) * z,u \ 1,u) = a(u,u \ 1,z) \ 1.
(K(x,y) * z) \ (u * ((u \ K(x,y)) * z)) = a(u,u \ 1,z) \ 1.
x \ (K(y,z) * (u * ((u \ K(z,y)) * x))) = a(u,u \ 1,x) \ 1.
a(x,x \ 1,y) \ 1 = y \ L(y,x \ 1,x).
(x \ (K(y,z) * u)) * L(T(K(z,y) * x,u),w,v5) = L(x,w,v5) * (x \ u).
(x \ T(y,z)) * L(T(K(z,y) * x,y),u,w) = L(x,u,w) * (x \ y).
(x * y) \ T((L(z,y,x) \ (x * y)) * z,(L(z,y,x) \ x) * y) = ((x * (y * z)) / z) \ (x * y).
T(K(x,K(y,z)) * u,w) \ T((K(x,K(y,z)) * u) * K(v5,u),w) = K(v5,T(u,w)).
T(K(x,K(y,z)) * u,w) \ T(K(x,K(y,z)) * (u * K(v5,u)),w) = K(v5,T(u,w)).
T(K(x,K(y,z)) * u,w) \ T(K(x,K(y,z)) * T(u,v5 \ u),w) = K(v5,T(u,w)).
T(K(x,K(y,z)) * u,w) \ T(T(K(x,K(y,z)) * u,v5 \ u),w) = K(v5,T(u,w)).
K(K(x,K(y,z)) * u,T(w \ u,v5)) = K(w,T(u,v5)).
K(x,T(y \ x,z)) = K(y,T(x,z)).
T(x,T(y \ x,z)) / u = K(y,T(x,z)) * (x / u).
K(x,T(y,z)) * (y / T(y / x,z)) = T(y / x,z) \ y.
x / T(x / y,z) = x * T(y / x,z).
T(x * K(y,z),y / z) = z * T(x / z,y).
T(x \ 1,y) * T(z,x \ y) = (x \ 1) * (x * T(z / x,y)).
L(T(x / y,z),y,y \ 1) = T(y \ 1,z) * T(x,y \ z).
T(x \ 1,y) * T(z,x \ y) = T(z * (x \ 1),y).
L(x,y \ 1,z) * ((y \ 1) * z) = z * T(x * (y \ 1),z).
L(x,y \ 1,z) * ((y \ 1) * z) = (x * (y \ 1)) * z.
T(T(x,y) * z,T(x,y) * (y \ 1)) = (((y \ 1) \ z) * (y \ 1)) * x.
T(T(x,y) * z,T(x,y) * (y \ 1)) = T(z,y \ 1) * x.
T(T(x,y) * z,(y \ 1) * x) = T(z,y \ 1) * x.
T(T(x,y) * z,y \ x) = T(z,y \ 1) * x.
(T(x,y) * z) \ (T(K(x,y) * z,x \ 1) * u) = R(x \ u,x,z).
(T(x,y) * z) \ ((T(x,y) * (z / x)) * u) = R(x \ u,x,z).
(x * y) \ ((x * (y / x)) * z) = R(x \ z,x,y).
R(x \ y,x,z) = L(x \ y,x,z).
R(x \ y,x,z) = (z * x) \ (z * y).
L(L(x,y,z) \ L(u,y,z),L(x,y,z),y * z) = (z * (T(y,w) * x)) \ (z * (T(y,w) * u)).
(x * (T(y,z) * u)) \ (x * (T(y,z) * w)) = (x * (y * u)) \ ((x * y) * L(w,y,x)).
(x * (T(y,z) * u)) \ (x * (T(y,z) * w)) = (x * (y * u)) \ (x * (y * w)).
(x * T(y * a(z,u,w),v5)) \ (x * (T(y,v5) * v6)) = (x * (y * a(z,u,w))) \ (x * (y * v6)).
(x * T(a(y,z,u) * w,v5)) \ (x * (T(w,v5) * v6)) = (x * (w * a(y,z,u))) \ (x * (w * v6)).
L(K(x,y) * z,u,y) * (z \ (K(y,x) * (u * y))) = (y * (T(u * K(x,y),y) * z)) / (K(x,y) * z).
(L(T(x,y),z,u) * (z * u)) / T(T(x,z * u),y) = (L(x,z,u) * (z * u)) / T(x,z * u).
(L(T(x,y),z,u) * (z * u)) / T(T(x,z * u),y) = L(x,z,u) * ((z * u) / T(x,z * u)).
(L(T(x,y),z,u) * (z * u)) / T(T(x,z * u),y) = L(x,z,u) * (x \ (z * u)).
(L(T(x,y),z,u) * (z * u)) / T(T(x,z * u),y) = (u * (T(z,u) * x)) / x.
L(K(x,y) * z,u,y) * (z \ T(T(y,x) * u,y)) = (y * (T(u * K(x,y),y) * z)) / (K(x,y) * z).
K(x,y) * (L(z,u,y) * (z \ T(T(y,x) * u,y))) = (y * (T(u * K(x,y),y) * z)) / (K(x,y) * z).
(x * a(y,z,u)) \ L(T(x,a(y,z,u)),w,v5) = L(x,w,v5) / (x * a(y,z,u)).
L(x,y,z) / (x * a(u,w,v5)) = (x * a(u,w,v5)) \ L(x,y,z).
L(L(x,x \ y,z) \ 1,L(x,x \ y,z),z * T(y,x)) = (z * T(y,x)) \ (z * (x \ y)).
L(L(x,x \ y,z) \ 1,L(x,x \ y,z),y * z) = (z * T(y,x)) \ (z * (x \ y)).
L(L(x,x \ y,z) \ 1,L(x,x \ y,z),y * z) = L(L(x \ 1,x,y),y,z).
(x \ (y \ x)) * R(((x * y) \ T(x,y)) \ 1,z,u) = (y * x) \ (x * R(T(x,y) \ (x * y),z,u)).
(x * y) \ (y * R(T(y,x) \ (y * x),z,u)) = (y \ (x \ y)) * R((y \ (x \ y)) \ 1,z,u).
(x * y) \ (y * R(T(y,x) \ (y * x),z,u)) = y \ ((x \ y) * R((x \ y) \ y,z,u)).
(x * y) \ (y * R(T(y,x) \ (y * x),z,u)) = y \ (R(x,z,u) * (x \ y)).
(x * y) \ (y * R(T(x,y),z,u)) = y \ (R(x,z,u) * (x \ y)).
(x * y) \ (R(x,z,u) * y) = y \ (R(x,z,u) * (x \ y)).
a(R(x,y,z),y,z) = y \ (R(x,y,z) * (x \ y)).
(x \ (R(y,z,u) * (y \ x))) * (y * x) = T(R(y,z,u) * x,y * x).
(x \ y) \ ((a(z \ y,z,y \ (x \ y)) \ ((y / z) * z)) * (y \ (x \ y))) = x * L(x \ 1,z,z \ y).
R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)).
R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)).
R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = R(x,y,T(z,u)).
R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)).
R(x,y,T(z,u)) = R(x,y,z).
R(x,y,R(T(z,u),w,v5)) = R(x,y,R(z,w,v5)).
R(x,y,z) * (z * y) = (x * y) * T(z,y).
a(x,y,T(z,y)) * (x * (y * T(z,y))) = R(x,y,z) * (z * y).
R(x,y * z,a(x,y,z)) = R(x,y * z,R(x,y,z)).
R(x,y * z,a(x,y,z)) = x.
R(x,y,a(x,z,z \ y)) = x.
x \ ((x * y) * z) = (y * z) * a(x,y,z).
x \ ((x * y) * (y \ z)) = z * a(x,y,y \ z).
x \ ((x * y) * z) = a(x,y,z) * (y * z).
x * ((y * z) * a(x,y,z)) = (x * y) * z.
(x * L(y,x,z)) * a(z,x,L(y,x,z)) = x * y.
a(x,y,z) \ (x \ ((x * y) * z)) = y * z.
a(x,y,z) = (y * z) \ (x \ ((x * y) * z)).
(x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u.
x * (a(x,y,z) * (y * z)) = (x * y) * z.
a(x,y,L(z,y,x)) * (y * L(z,y,x)) = y * z.
a(x,y,z) = (x \ ((x * y) * z)) / (y * z).
a(x,x \ y,z) * ((x \ y) * z) = x \ (y * z).
(x \ ((x * y) * z)) / L(z,y,a(x,y,z)) = a(x,y,z) * y.
T(x,y * (z \ ((z * u) * w))) = T(x,y * (u * w)).
a(x,y,z) * (y * z) != u | x \ ((x * y) * z) = u.
a(x,y,L(z,y,x)) \ (y * z) = y * L(z,y,x).
T(x,y \ (z \ ((z * u) * w))) = T(x,y \ (u * w)).
x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ x).
(x * ((y * x) \ z)) \ (y \ z) = a(y,x,(y * x) \ z).
((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y).
T(x,(y * z) \ (u \ ((u * y) * z))) = x.
(x * L(x,y,z)) \ (u \ ((u * L(x,y,z)) * x)) = a(u,L(x,y,z),x).
a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z).
T(x,L(y,z,u) \ y) = x.
(L(x,y,z) \ x) * u = u * (L(x,y,z) \ x).
(L(x,y,z) \ x) / u = u \ (L(x,y,z) \ x).
K(x,L(y,z,u) \ y) = 1.
T(L(x,y,z) \ x,u) = L(x,y,z) \ x.
K(x,K(L(y,z,u) \ y,w)) = 1.
1 * (x \ (y * ((L(y,z,u) \ 1) * x))) = (y * ((L(y,z,u) \ 1) * x)) / x.
T(x,K(L(y,z,u) \ y,w)) = x.
T(x,K(L(y,z,u) \ y,w)) != v5 | x = v5.
T((x * L(x \ y,z,u)) \ y,w) = L(L(x \ y,z,u) \ (x \ y),L(x \ y,z,u),x).
(L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z)) / (y * z) = a(y \ (x \ (y * z)),y,z).
a(x,y,z) \ (y * z) != u | (y * z) * ((x \ ((x * y) * z)) \ (y * z)) = u.
x / (y \ (L(x,z,u) * (x * (L(x,z,u) \ x)))) = (y \ x) \ 1.
(x \ (L(y,z,u) \ y)) \ ((y * ((L(y,z,u) \ 1) * x)) / x) = L(x,L(y,z,u) \ 1,y).
x \ (y \ ((y * z) * (z \ x))) != u | a(y,z,z \ x) = u.
(x * y) / a(z,x,L(y,x,z)) = x * L(y,x,z).
(x * L(y,x,z)) \ ((x * L(y,x,z)) / a(z,x,L(y,x,z))) = (x * y) \ (x * L(y,x,z)).
(x * L(y,x,z)) \ ((x * L(y,x,z)) / a(z,x,L(y,x,z))) = (x * L(y,x,z)) / (x * y).
(L(x,y,z) * a(z,y,L(x,y,z))) \ (y \ (y * x)) = a(y,L(x,y,z),a(z,y,L(x,y,z))).
L(L(x,y,z),y,a(z,y,L(x,y,z))) = L(L(x,y,z),y,y \ (y * x)).
((x * (y * (y \ z))) / (y \ z)) \ (x * y) = z \ (x \ ((x * y) * (y \ z))).
((x * y) * z) \ (x \ (R((x * y) / y,y,z) * ((x * y) * z))) = a(x,y,y \ ((x * y) * z)).
1 \ (x \ L(x,y,y \ 1)) = a(x,y,y \ 1).
x \ L(x,y,y \ 1) = a(x,y,y \ 1).
((x * L(y,x,z)) / (x * y)) \ (x * y) = (x * y) * a(z,x,L(y,x,z)).
a(x,y,(x * y) \ (x * z)) = (y * L(y \ z,y,x)) \ (y * (y \ z)).
T(x,a(y,z,L(u,z,y)) \ w) = T(x,u \ (z \ ((z * L(u,z,y)) * w))).
T(x,(y / ((z * u) / w)) * (z * u)) = T(x,y * R(w,z,u)).
(x \ (a(y,z,u) * (x * w))) / L(a(y,z,u),w,a(x,w,a(y,z,u))) = a(x,w,a(y,z,u)) * w.
T(x,y * (((z * u) / w) \ (z * u))) = T(x,y * R(w,z,u)).
T(x,y * R(z,u,w)) = T(x,y * z).
T(T(R(x,y,z) * u,w),(v5 \ u) * T(x,u)) = T(T(u * R(T(x,u),y,z),w),v5 \ 1).
a(x,y,z) * (x * (y * T(z,y))) = R(x,y,z) * (z * y).
a(x,y,z) * (x * (z * y)) = R(x,y,z) * (z * y).
a(x,y,z) * (x * (z * y)) = (x * y) * T(z,y).
x / (y \ (x * (L(x,z,u) * (L(x,z,u) \ x)))) = (y \ x) \ 1.
x / (y \ (x * x)) = (y \ x) \ 1.
(x \ ((a(y,z,u) \ 1) * (a(y,z,u) \ 1))) \ (a(y,z,u) \ 1) = (x \ (a(y,z,u) \ 1)) \ 1.
(x \ (a(y,z,u) * a(y,z,u))) \ a(y,z,u) = (x \ a(y,z,u)) \ 1.
(((x * y) * x) \ (x * y)) \ 1 = (x * y) / L(y,x,x * y).
(((x * y) * x) \ (x * y)) \ 1 = (x * y) / L(y,x,x).
(((x * y) * x) \ (x * y)) \ 1 = y * (L(y,x,x) \ x).
(x * L(x,y,z)) \ (u \ ((u * x) * L(x,y,z))) = a(u,L(x,y,z),x).
L(L(x,y,z),y,a(z,y,L(x,y,z))) = L(L(x,y,z),y,x).
L(L(x,y,z),y,a(z,y,L(x,y,z))) = L(x,y,z).
L(x,y,a(z,y,L(x,y,z))) = x.
(x * a(y,x,L(z,x,y))) \ ((x * L(z,x,y)) * a(y,x,L(z,x,y))) = L(z,x,y).
a(x,y,(x * y) \ (x * z)) = (y * L(y \ z,y,x)) \ z.
a(x,L(y,z,u),y) = a(x,y,L(y,z,u)).
a(x,L(y,z,u),y) != w | a(x,y,L(y,z,u)) = w.
T(x,y \ (z \ ((z * L(y,z,u)) * w))) = T(x,w).
T(x,y \ (L(y,z,u) * w)) = T(x,w).
T(x,L(y,z,u) * (y \ w)) = T(x,w).
T(x,L(y,z,u) * w) = T(x,y * w).
T(x,(y / z) * L(z,u,w)) = T(x,y).
T(x,T(L(y,z,u) * w,y) * v5) = T(x,y * ((y \ w) * (y * v5))).
T(x,y * L(z,u,w)) = T(x,y * z).
K(x * L(y,z,u),w) = w / T(w,x * y).
K(x * L(y,z,u),w) = K(x * y,w).
K(x * L(x \ y,z,u),w) = K(y,w).
T(x,T(L(y,z,u) * w,y) * v5) = T(x,w * (y * v5)).
T(x,(y * L(z,u,w)) * v5) = T(x,y * (z * v5)).
T(x,(L(y,z,u) \ w) * (y * v5)) = T(x,T(w,L(y,z,u)) * v5).
T(x,T(y,L(z,u,w)) * (z \ v5)) = T(x,(L(z,u,w) \ y) * v5).
T(x,T(y,z) * (z \ u)) = T(x,(L(z,w,v5) \ y) * u).
T(x,(L(y,z,u) \ w) * v5) = T(x,(y \ w) * v5).
(x * y) \ T((L(z,y,x) \ (x * y)) * z,(z \ x) * y) = ((x * (y * z)) / z) \ (x * y).
(x * ((L(x,y,z) \ 1) * u)) / u = u \ (x * ((L(x,y,z) \ 1) * u)).
((x * y) / (z \ y)) \ (x * z) = y \ (x \ ((x * z) * (z \ y))).
(x / (y \ (z \ x))) \ (z * y) = x \ (z \ ((z * y) * (y \ x))).
(x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ x).
a(x,y,T(y \ (x \ z),u)) = a(x,y,y \ z).
a(x,y,y \ z) != u \ (x * y) | z / (y \ (x \ z)) = u.
a(x,y,y \ (x \ z)) = a(x,y,y \ z).
a(x,y,y \ (x * z)) = a(x,y,y \ z).
a(x,y,y \ 1) = a(x,y,y \ x).
(x * a(y,x,L(z,x,y))) \ (x * z) = L(z,x,y).
(a(x,y,L(z,y,x)) * y) \ (y * z) = L(z,y,x).
a(x,y,L(z,y,x)) * y = z * (L(z,y,x) \ y).
L(x / y,y,z) \ x = a(z,y,L(y \ x,y,z)) * y.
(a(x,y,L(z,y,x)) * y) \ y = y \ (L(z,y,x) * (z \ y)).
T(x \ 1,y) * (T(z \ (z / x),y) \ x) = a(z,x,L(T(x \ 1,y),x,z)) * x.
a(x,y,L(y \ 1,y,x)) * y = L(y \ 1,y,x) \ 1.
x \ (a(y,x,L(z,x,y)) \ x) = x \ (L(z,x,y) * (z \ x)).
T(x \ 1,y) * (T(z \ (z / x),y) \ x) = a(z,x,L(x \ 1,x,z)) * x.
T(x \ 1,y) * (T(z \ (z / x),y) \ x) = L(x \ 1,x,z) \ 1.
T(x \ 1,y) * (T(z \ (z / x),y) \ x) = R(x,x \ 1,z \ 1).
T(x \ 1,y) * (T(z \ (z / x),y) \ x) = L(x,x \ 1,z \ 1).
T((x * L(x \ y,z,u)) \ y,w) = (x * L(x \ y,z,u)) \ y.
T(x * L(x \ 1,y,z),u) = x * L(x \ 1,y,z).
T(x * L(x \ y,z,u),y) = x * L(x \ y,z,u).
x / (y * L(y \ x,z,u)) = (y * L(y \ x,z,u)) \ x.
x / (y * L(y \ 1,z,u)) = (y * L(y \ 1,z,u)) \ x.
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
((x * L(x \ y,z,u)) \ y) * x = L(y / x,z,u) \ y.
T((x * L(x \ 1,y,z)) \ (u * x),L(x \ 1,y,z)) = R(L(x \ 1,y,z) \ u,L(x \ 1,y,z),x).
T((x * L(x \ y,z,u)) \ y,x) = x \ (L(y / x,z,u) \ y).
(((x / y) * (y * L(y \ 1,z,u))) \ (x / y)) * x = L((x / y) / x,z,u) \ (x / y).
(x * L(x \ 1,y,z)) * (x \ (y * z)) = z * (y * ((z * y) \ (x \ (y * z)))).
R(x / (x * L(x \ 1,y,z)),x * L(x \ 1,y,z),x \ u) \ u = u * L(u \ (x \ u),y,z).
(x \ (y * L(y \ (x \ y),z,u))) / (L(x \ 1,z,u) * (x \ y)) = a(x,L(x \ 1,z,u),x \ y).
(((x * L(x \ 1,y,z)) * (x \ u)) \ (x \ u)) * u = L((x \ u) / u,y,z) \ (x \ u).
(x * L(x \ y,z,u)) \ y = x \ (L(y / x,z,u) \ y).
x / (y * L(y \ x,z,u)) = y \ (L(x / y,z,u) \ x).
L(x / y,z,u) \ (x * (y \ x)) = x * (y \ (L(x / y,z,u) \ x)).
(L(L(x,y,z) \ x,u,w) * L(x,y,z)) \ x = L(x,y,z) \ (L(x / L(x,y,z),u,w) \ x).
(x * ((x * L(x \ 1,y,z)) \ (y * z))) \ (y * z) = (y * z) \ (z * (y * ((z * y) \ (x \ (y * z))))).
(x \ (L(y,z,u) \ y)) \ (x \ (y * ((L(y,z,u) \ 1) * x))) = L(x,L(y,z,u) \ 1,y).
T(T(R(x,y,z) * u,w),(v5 \ x) * u) = T(T(u * R(T(x,u),y,z),w),v5 \ 1).
T(T(R(x,y,z) * u,w),(v5 \ x) * u) = T(T(R(x,y,z) * u,w),v5 \ 1).
((x / y) \ ((x / y) / (y * L(y \ 1,z,u)))) * x = L((x / y) / x,z,u) \ (x / y).
((x \ y) \ ((x * L(x \ 1,z,u)) \ (x \ y))) * y = L((x \ y) / y,z,u) \ (x \ y).
((x / y) \ ((y * L(y \ 1,z,u)) \ (x / y))) * x = L((x / y) / x,z,u) \ (x / y).
((x \ y) \ ((x * L(x \ 1,z,u)) \ (x \ y))) * y = L(y \ (y / x),z,u) \ (x \ y).
((x / y) \ ((y * L(y \ 1,z,u)) \ (x / y))) * x = L(x / (x * y),z,u) \ (x / y).
(x * L(y,x,z)) \ ((x * L(y,x,z)) / a(z,x,L(y,x,z))) = x \ (L(y,x,z) * (y \ x)).
a(x,L(y,x,z),a(z,x,L(y,x,z))) = (L(y,x,z) * a(z,x,L(y,x,z))) \ y.
a(x,L(y,x,z),a(z,x,L(y,x,z))) = (a(z,x,L(y,x,z)) * L(y,x,z)) \ y.
(x * y) \ T(T(a(x,y,z) * (x * y),z),(z \ x) * y) = ((x * (y * z)) / z) \ (x * y).
(x * L(y,x,z)) / (x * y) = x \ (L(y,x,z) * (y \ x)).
(x \ (L(y,x,z) * (y \ x))) \ (x * y) = (x * y) * a(z,x,L(y,x,z)).
(x * y) \ T(T(a(x,y,z) * (x * y),z),(z \ x) * y) = a(x,y,z).
((x * y) * z) \ (x \ (R(x,y,z) * ((x * y) * z))) = a(x,y,y \ ((x * y) * z)).
(x * (y * z)) \ (x \ (R(x,y,L(z,y,x)) * ((x * y) * L(z,y,x)))) = a(x,y,y \ ((x * y) * L(z,y,x))).
(x \ ((a(y,z,u) * a(y,z,u)) \ 1)) \ (a(y,z,u) \ 1) = (x \ (a(y,z,u) \ 1)) \ 1.
(x \ (a(y,z,u) \ (a(y,z,u) \ 1))) \ (a(y,z,u) \ 1) = (x \ (a(y,z,u) \ 1)) \ 1.
(x \ (a(y,z,u) \ (a(y,z,u) \ 1))) \ (a(y,z,u) \ 1) = a(y,z,u) / (x \ 1).
(x \ (a(y,z,u) \ (a(y,z,u) \ 1))) \ (a(y,z,u) \ 1) = (x \ 1) \ a(y,z,u).
L(a(x,y,z),u,a(w,u,a(x,y,z))) \ (w \ (a(x,y,z) * (w * u))) = a(w,u,a(x,y,z)) * u.
R((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z),x \ u) \ u = u * L(u \ (x \ u),y,z).
((x \ y) * L(y \ (x \ y),z,u)) / (L(x \ 1,z,u) * (x \ y)) = a(x,L(x \ 1,z,u),x \ y).
T((x * L(x \ 1,y,z)) \ (u * x),x \ 1) = R(L(x \ 1,y,z) \ u,L(x \ 1,y,z),x).
T((x * L(x \ 1,y,z)) \ (u * x),x \ 1) = (x * L(x \ 1,y,z)) \ (x * u).
(x \ y) \ ((a(z \ y,z,y \ (x \ y)) \ y) * (y \ (x \ y))) = x * L(x \ 1,z,z \ y).
(x \ y) \ (y * ((a(z \ y,z,y \ (x \ y)) * (x * y)) \ y)) = x * L(x \ 1,z,z \ y).
(x \ (L(y,z,u) \ y)) \ (((L(y,z,u) \ 1) * (T(y,L(y,z,u) \ 1) * x)) / x) = L(x,y,L(y,z,u) \ 1).
a((T(x,T(y * z,u)) * z) \ (x * (y * z)),w,v5) = a(R(y,z,T(x,T(y * z,u))),w,v5).
a(R(x,y,T(z,T(x * y,u))),w,v5) = a((z * y) \ (z * (x * y)),w,v5).
a(R(x,y,T(z,T(x * y,u))),w,v5) = a(L(T(x,y),y,z),w,v5).
a(R(x,y,T(z,T(x * y,u))),w,v5) = a(L(x,y,z),w,v5).
a(R(x,y,z),u,w) = a(L(x,y,z),u,w).
a(L(x,y,z),y,z) = y \ (R(x,y,z) * (x \ y)).
a(L(x \ 1,y \ 1,z \ 1),u,w) = a(L(x,y,z) \ 1,u,w).
(x * (y * z)) \ (x \ (R(x,y,L(z,y,x)) * (x * (y * z)))) = a(x,y,y \ ((x * y) * L(z,y,x))).
(x * (y * z)) \ (x \ (R(x,y,L(z,y,x)) * (x * (y * z)))) = a(x,y,y \ (x * (y * z))).
(x * (y * z)) \ (x \ (R(x,y,L(z,y,x)) * (x * (y * z)))) = a(x,y,y \ (y * z)).
a(x,y,z) = (x * (y * z)) \ (x \ (R(x,y,L(z,y,x)) * (x * (y * z)))).
a(x,y,z) = (x * (y * z)) \ (x \ (x * (R(x,y,L(z,y,x)) * (y * z)))).
a(x,y,z) = (x * (y * z)) \ (R(x,y,L(z,y,x)) * (y * z)).
a(x,y,L(z,y,x)) = a(x,y,z).
a(x,y,z) = (y * L(z,y,x)) \ (y * z).
a(x,y,(x * y) \ z) = a(x,y,y \ (x \ z)).
a(x,y,z) * (y * L(z,y,x)) = y * z.
a(x,y,z) \ (y * z) = y * L(z,y,x).
L(x,y,a(z,y,x)) = x.
L(x,y,z) = (y * a(z,y,x)) \ (y * x).
L(x,y,z) = (a(z,y,x) * y) \ (y * x).
x * (L(x,y,z) \ y) = a(z,y,x) * y.
x \ (L(y,x,z) * (y \ x)) = x \ (a(z,x,y) \ x).
T(x \ 1,y) * (T(z \ (z / x),y) \ x) = a(z,x,T(x \ 1,y)) * x.
(a(x,y,L(z,y,x)) * L(z,y,x)) \ z = a(y,L(z,y,x),a(x,y,z)).
a(x,y,z) * (z * y) = z * (y * a(x,y,z)).
(x \ ((x * y) * z)) / z = a(x,y,z) * y.
a(x,y,z) \ (u \ (a(x,y,z) * (u * w))) = a(u,w,a(x,y,z)) * w.
(x * ((y * x) \ (x * z))) \ (x * (x \ (y \ (x * z)))) = a(z,x,x \ (y \ (x * z))).
(x * y) * ((z \ ((z * x) * y)) \ (x * y)) = x * L(y,x,z).
a(x,y,y \ z) \ z = y * L(y \ z,y,x).
(x * a(y,x,z)) \ ((x * L(x \ (x * a(y,x,z)),u,w)) * z) = L(z,x,y) * L(((x * a(y,x,z)) \ (x * z)) \ z,u,w).
(T(x,y) * a(z,T(x,y),a(u,w,v5))) \ T(a(u,w,v5) * x,y) = L(a(u,w,v5),T(x,y),z).
(a(x,L(y,z,u),y) * L(y,z,u)) \ (y * L(y,z,u)) = L(y,L(y,z,u),x).
(a(L(x,y,z),u,w) * u) \ (u * w) = L(w,u,R(x,y,z)).
(((x * y) * x) \ (x * y)) \ 1 = a(x,x,y) * x.
L(x,x,y) \ x = a(y,x,x).
a(x,y,y) \ y = L(y,y,x).
(x \ a(y,x,x)) \ 1 = L(x,x,y).
a(x,x,y) * x = R(x,x,y).
x \ ((y \ ((y * x) * z)) / z) = T(a(y,x,z),x).
a(x,y,(x * y) \ z) = a(x,y,y \ z).
x \ (y \ ((y * z) * (z \ x))) = a(y,z,(y * z) \ x).
(x * ((y * x) \ z)) \ (y \ z) = a(y,x,x \ z).
a(x,y,L(z \ 1,z,x * y)) = a(x,y,y \ (z \ (y * x))).
a(x,y,L(z \ 1,z,x * y)) = a(x,y,y \ ((x * y) / z)).
a(x,y,(y * x) \ z) = a(x,y,y \ z).
((x * ((a(y,z,u) * x) \ w)) * a(y,z,u)) \ w = a(a(y,z,u),x,x \ w).
a(x,y,y \ ((x * y) * z)) = a(x,y,z).
a(x \ (y \ (x * (x \ z))),x,(x * (x \ (y \ (x * (x \ z))))) \ z) = a(L(y \ 1,y,x * (x \ z)),x,x \ z).
a(x,y,y \ ((y * x) * z)) = a(x,y,z).
a(L(x \ 1,x,y),y,y \ ((x \ y) * z)) = a(L(x \ 1,x,y),y,z).
a(x,y,L(z,x,y)) = a(x,y,x * z).
a(x,y,(y \ (y * x)) * L((y \ (y * x)) \ z,u,w)) = a(x,y,L((y * x) \ (y * z),u,w)).
a(x,y,x * (x \ (z \ (x * y)))) = a(x,y,(z * x) \ (x * y)).
((x * a(y,z,x)) * z) / (x * (z * a(y,z,x))) = a(a(y,z,x),x,z).
x \ (a(y,x,x \ z) \ z) = L(x \ z,x,y).
x \ (a(y,x,z) \ ((y * x) * z)) = L(x \ ((y * x) * z),x,y).
(((x * y) * x) \ (x * y)) \ 1 = R(x,x,y).
((x * (y * x)) \ (x * y)) \ 1 = R(x,x,y).
((x * y) \ (y \ (y * x))) \ 1 = R(y,y,x).
R(x,x,y) = ((y * x) \ y) \ 1.
R(x \ y,x \ y,x) = (y \ x) \ 1.
R(x,x,y) = (y \ (y / x)) \ 1.
L(x,x,y \ 1) = y \ (y / (x \ 1)).
a(x,y,L(z,z,u \ 1)) = a(x,y,u \ ((z \ 1) \ u)).
a(x,y,z) = y \ ((x \ ((x * y) * z)) / z).
L(x,y,z) * (x \ y) = a(z,y,x) \ y.
(x \ (a(y,x,z) \ x)) \ (x * z) = (x * z) * a(y,x,L(z,x,y)).
x \ (L(x \ ((y * x) * z),x,y) * ((x \ ((y * x) * z)) \ x)) = x \ (a(y,x,z) \ x).
(x / y) * L(y,x,z) = a(z,x,y) \ x.
T(a(x,y,z) \ y,z) = (z \ y) * L(z,y,x).
((x / y) * y) * L(y,x,z) = (a(z,x,y) \ x) * y.
(a(x,y,z) \ y) * z = y * L(z,y,x).
a(x,y,(x * y) \ z) != u | a(x,y,y \ z) = u.
(x * L(x \ y,x,z)) \ y != u | a(z,x,x \ (z * y)) = u.
L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)).
L(x,y,y \ ((z * y) * x)) = L(x,y,L(z,y,x)).
L(x,y,L(z \ 1,u \ 1,w \ 1)) = L(x,y,L(z,u,w) \ 1).
x * (L(x,y,L(z,y,x)) \ (z * y)) = R(z,y,x) * y.
a(x,y,y \ ((x * y) / z)) = a(x,y,y \ (z \ (y * x))).
a(x,y,y \ (x * z)) = y \ (L(z / y,y,x) \ z).
x \ (L(y / x,x,z) \ y) = a(z,x,x \ y).
a(x,y,(z * x) \ (x * y)) = a(x,y,z \ (x * y)).
L(x \ ((y * x) * z),x,y) = x \ (y * (x * z)).
L(x \ ((y * x) * z),x,y) != x \ u | y * (x * z) = u.
(x \ (a(y,x,z) \ x)) \ (x * z) = (x * z) * a(y,x,z).
a(x,L(y,x,z),a(z,x,y)) = (a(z,x,y) * L(y,x,z)) \ y.
L(x,y,z) \ ((y \ ((y * L(x,y,z)) * a(z,y,x))) / a(z,y,x)) = (a(z,y,x) * L(x,y,z)) \ x.
a(a(x,y,z),z,y) = a(z,a(x,y,z),y).
a(x,a(y,z,x),z) * (a(y,z,x) * (z * x)) = (a(y,z,x) * x) * T(z,x).
a(x,y,T(y \ 1,z)) * y = L(y,y \ 1,x \ 1).
L(x,x \ 1,y \ 1) = a(y,x,x \ 1) * x.
(a(x,y,L(y,z,u)) * L(y,z,u)) \ (y * L(y,z,u)) = L(y,L(y,z,u),x).
a(x,a(y,z,x),z) * (a(y,z,x) * (z * x)) = z * (a(y,z,x) * x).
L(L(x,y,z) \ (a(u,x,L(x,y,z)) \ (x * L(x,y,z))),L(x,y,z),x) = L(x,L(x,y,z),u).
(x * ((y * x) \ (x * z))) \ (y \ (x * z)) = a(z,x,x \ (y \ (x * z))).
a(x,y,y \ (z \ (y * x))) = a(z,y,y \ (y * x)).
a(x,y,y \ (z \ (y * x))) = a(z,y,x).
a(x,y,y \ ((x * y) / z)) = a(z,y,x).
a(x,y,L(z \ 1,z,x * y)) = a(z,y,x).
a(x,y,y \ x) = a(y,y,x).
a(x,y,y \ 1) = a(y,y,x).
(a(x,x,y) * x) \ (x * (x \ 1)) = L(x \ 1,x,y).
L(x,x \ 1,y \ 1) = a(x,x,y) * x.
a(x,y,y \ (z \ (x * y))) = a(z,y,x).
a(x \ (y * z),z,y) = a(y,z,z \ x).
L(x,x \ 1,y \ 1) = R(x,x,y).
R(x,x,x \ y) = L(x,x \ 1,y \ 1).
(x \ (x / y)) * L(R(y,y,x),z,u) = x \ ((x / y) * L(y,z,u)).
a(x \ (y * z),y,z) = a(z,y,y \ x).
R(x,x,x \ y) = R(x,x,y).
a(x,y,L(((x * y) \ z) \ 1,(x * y) \ z,x * y)) = a(y \ z,y,x).
R(x,x,y) \ (x * (x \ 1)) = L(x \ 1,x,y).
L(x \ 1,x,y) = R(x,x,y) \ 1.
a(x,y,z \ (x * y)) = a(y \ z,y,x).
a(x \ (y * z),x,z) = a(z,x,y \ (z * x)).
a(x \ (y * z),x,z) = a(x \ y,x,z).
a((x * y) \ (x * z),x,z) = a(x \ (y \ (x * z)),x,z).
a(x \ (y \ (x * z)),x,z) = a(z,x,x \ (x * y)).
a(x \ (y \ (x * z)),x,z) = a(z,x,y).
a(L(x \ 1,x,y * z),y,z) = a(z,y,x).
a(x,a(a(y,z,u),w,v5),v6) = 1.
L(x,a(a(y,z,u),w,v5),v6) = x.
(x * a(a(y,z,u),w,v5)) * v6 = x * (a(a(y,z,u),w,v5) * v6).
R(x,a(a(y,z,u),w,v5),v6) = x.
x \ (x / a(a(y,z,u),w,v5)) = a(a(y,z,u),w,v5) \ 1.
(x * a(a(y,z,u),w,v5)) \ v6 = a(a(y,z,u),w,v5) \ (x \ v6).
L(x,a(a(y,z,u),w,v5),v6) != v7 | x = v7.
L(x,a(a(y,z,u),w,v5) \ 1,v6) = x.
a(x \ (y \ (z * x)),x,z) = a(z,x,y).
a(L(x \ 1,x,y),z,z \ y) = a(z \ y,z,x).
a(x \ (y \ (z \ x)),x,L(z \ 1,z,x)) = a(L(z \ 1,z,x),x,y).
x \ (a(a(y,z,u),w,v5) \ x) = a(a(y,z,u),w,v5) \ 1.
x * (a(a(y,z,u),w,v5) \ 1) = a(a(y,z,u),w,v5) \ x.
L(x,y \ (a(a(z,u,w),v5,v6) \ y),v7) = x.
L(x,y \ (a(a(z,u,w),v5,v6) \ y),v7) = v8 * (v8 \ x).
x \ (a(a(y,z,u),w,v5) \ x) != v6 | a(a(y,z,u),w,v5) \ 1 = v6.
(x * ((y * a(a(z,u,w),v5,v6)) \ y)) \ y = a(a(z,u,w),v5,v6) * (x \ y).
(a(a(x,y,z),u,w) * v5) * v6 = v5 * (a(a(x,y,z),u,w) * v6).
(((a(a(x,y,z),u,w) * v5) * v6) / L(v5 * v6,a(a(x,y,z),u,w),a(a(a(x,y,z),u,w),v5,v6))) * v7 = a(a(a(x,y,z),u,w),v5,v6) * (a(a(x,y,z),u,w) * v7).
(a(a(a(x,y,z),u,w),v5,v6) * (v5 * v6)) * (a(a(x,y,z),u,w) * v7) = ((a(a(x,y,z),u,w) * v5) * v6) * v7.
((a(x,y,z) * u) * w) \ (a(x,y,z) * (u * w)) != v5 | a(a(x,y,z),u,w) \ 1 = v5.
(x * (a(a(y,z,u),w,v5) \ (v6 \ v6))) \ v6 = a(a(y,z,u),w,v5) * (x \ v6).
(x * (a(a(y,z,u),w,v5) \ 1)) \ v6 = a(a(y,z,u),w,v5) * (x \ v6).
(a(a(x,y,z),u,w) \ v5) \ v6 = a(a(x,y,z),u,w) * (v5 \ v6).
(a(a(x,y,z),u,w) \ v5) \ (v5 * v6) = a(a(x,y,z),u,w) * v6.
L(x,y \ (a(a(z,u,w),v5,v6) \ y),v7) = (a(a(v8,v9,v10),v11,v12) \ v13) \ (v13 * (a(a(v8,v9,v10),v11,v12) \ x)).
a(a(x,y,z),u,w) \ 1 = a(w,u,a(x,y,z)).
a(a(x,y,z),u,w) \ v5 = v5 * a(w,u,a(x,y,z)).
(x * a(y,z,a(u,w,v5))) \ v6 = a(a(u,w,v5),z,y) * (x \ v6).
a(a(x,y,z),u,w) \ v5 = a(w,u,a(x,y,z)) * v5.
a(a(x,y,z),u,w) \ v5 != v6 | a(w,u,a(x,y,z)) * v5 = v6.
a(a(x,y,z),u,w) \ v5 != v6 | v5 * a(w,u,a(x,y,z)) = v6.
(a(x,y,a(z,u,w)) * v5) \ v6 = a(a(z,u,w),y,x) * (v5 \ v6).
(x * a(y,z,a(u,w,v5))) \ v6 = (x \ v6) * a(a(u,w,v5),z,y).
a(a(x,y,z),u,w) * (v5 \ (v5 * v6)) = a(w,u,a(x,y,z)) \ v6.
(x * a(y,z,a(u,w,v5))) \ v6 != v7 | (x \ v6) * a(a(u,w,v5),z,y) = v7.
(x * a(y,z,a(u,w,v5))) \ v6 != v7 | a(a(u,w,v5),z,y) * (x \ v6) = v7.
a(x,y,a(z,u,w)) \ v5 = a(a(z,u,w),y,x) * v5.
a(x,y,z) \ (u * (a(x,y,z) * w)) = a(a(x,y,z),w,u) * (u * w).
a(x,y,z) \ (u * (a(x,y,z) * w)) = u * (w * a(a(x,y,z),w,u)).
x \ (a(y,z,u) \ (x * (a(y,z,u) * w))) = w * a(a(y,z,u),w,x).
x \ (L(x \ ((y * x) * z),x,y) * ((((y * x) * z) \ x) * x)) = x \ (a(y,x,z) \ x).
x \ (x * (((y * x) * z) \ (x * L(x \ ((y * x) * z),x,y)))) = x \ (a(y,x,z) \ x).
((x * y) * z) \ (y * L(y \ ((x * y) * z),y,x)) = y \ (a(x,y,z) \ y).
((x * y) * z) \ (y * (y \ (x * (y * z)))) = y \ (a(x,y,z) \ y).
((x * y) * z) \ (x * (y * z)) = y \ (a(x,y,z) \ y).
(T(x,y) \ (z * u)) \ (z * (u * T((z * u) \ (x \ (z * u)),y))) = u \ (a(z,u,T((z * u) \ (x \ (z * u)),y)) \ u).
(T(x,y) * a(z,x,a(u,w,v5))) \ T(a(u,w,v5) * x,y) = L(a(u,w,v5),T(x,y),z).
(T(x,y) \ T(a(z,u,w) * x,y)) * a(a(z,u,w),x,v5) = L(a(z,u,w),T(x,y),v5).
L(a(x,y,z),T(u,w),v5) = a(x,y,z) * a(a(x,y,z),u,v5).
a(x,y,z) * a(a(x,y,z),u,w) = L(a(x,y,z),u,w).
a(a(x,y,z),u,w) \ (a(x,y,z) \ v5) = L(a(x,y,z),u,w) \ v5.
a(x,y,x * L((y \ (y * x)) \ z,u,w)) = a(x,y,L((y * x) \ (y * z),u,w)).
a(x,y,L((y * x) \ (y * z),u,w)) = a(x,y,x * L(x \ z,u,w)).
L(L(x,y,z) \ (x * L(L(x,y,z),x,u)),L(x,y,z),x) = L(x,L(x,y,z),u).
L((L(x,y,z) \ x) * L(L(x,y,z),x,u),L(x,y,z),x) = L(x,L(x,y,z),u).
L(T(a(x,y,L(y,z,u)) \ y,L(y,z,u)),L(y,z,u),y) = L(y,L(y,z,u),x).
L(x,y,z) \ ((y \ (a(z,y,x) * (y * L(x,y,z)))) / a(z,y,x)) = (a(z,y,x) * L(x,y,z)) \ x.
L(x,y,z) \ ((y \ (y * x)) / a(z,y,x)) = (a(z,y,x) * L(x,y,z)) \ x.
(a(x,y,z) * L(z,y,x)) \ z = L(z,y,x) \ (z / a(x,y,z)).
(a(x,y,z) * L(z,y,x)) \ z = L(z,y,x) \ (a(x,y,z) \ z).
a(x,L(y,x,z),a(z,x,y)) = L(y,x,z) \ (a(z,x,y) \ y).
(x * a(y,L(x,y,z),a(z,y,x))) \ ((a(z,y,x) \ x) * x) = L(x,y,z).
(x * a(y,L(x,y,z),a(z,y,x))) \ (x * (a(z,y,x) \ x)) = L(x,y,z).
a(a(x,y,z),L(z,y,x),y) * (z \ (z * (a(x,y,z) \ z))) = L(z,y,x).
a(a(x,y,z),L(z,y,x),y) * (a(x,y,z) \ z) = L(z,y,x).
(a(a(x,y,z),u,w) \ v5) * v6 = v5 * (a(a(x,y,z),u,w) \ v6).
x \ ((a(a(y,z,u),w,v5) \ x) * v6) = a(a(y,z,u),w,v5) \ v6.
a(a(x,y,z),u,w) \ w = L(w,u,a(x,y,z)).
x * a(x,y,a(z,u,w)) = L(x,y,a(z,u,w)).
a(x,y,a(z,u,w)) * x = L(x,y,a(z,u,w)).
a(a(x,y,z),u,w) * (w \ v5) = L(w,u,a(x,y,z)) \ v5.
(x * y) * L(a(y,z,a(u,w,v5)),y,x) = x * L(y,z,a(u,w,v5)).
(a(x \ 1,y,a(z,u,w)) \ 1) * x = L(x \ 1,y,a(z,u,w)) \ 1.
(x * y) * L(a(T(x,y),z,a(u,w,v5)),x,y) = y * L(T(x,y),z,a(u,w,v5)).
(x \ y) * a(a(z,u,w),v5,x) = L(x,v5,a(z,u,w)) \ y.
x \ (L(x,y,a(z,u,w)) * v5) = a(a(z,u,w),y,x) \ v5.
L(x,y,a(z,u,w)) * (x \ v5) = a(a(z,u,w),y,x) \ v5.
L(x,y,a(z,u,w)) * (x \ v5) = v5 * a(x,y,a(z,u,w)).
(x * y) * a(x,z,a(u,w,v5)) = L(x,z,a(u,w,v5)) * y.
(x * y) * a(x,z,a(u,w,v5)) = y * L(T(x,y),z,a(u,w,v5)).
(x * y) * z != y * L(T(x,y),u,a(w,v5,v6)) | a(x,u,a(w,v5,v6)) = z.
(a(x \ 1,y,a(z,u,w)) \ 1) * x = R(x,y \ 1,a(z,u,w) \ 1).
(a(a(x,y,z),u,w \ 1) * 1) * w = R(w,u \ 1,a(x,y,z) \ 1).
R(x,y \ 1,a(z,u,w) \ 1) = a(a(z,u,w),y,x \ 1) * x.
(x * y) * L(a(x,z,a(u,w,v5)),x,y) = y * L(T(x,y),z,a(u,w,v5)).
L(a(x,y,a(z,u,w)),x,v5) = a(x,y,a(z,u,w)).
(x * y) * a(y,z,a(u,w,v5)) = x * L(y,z,a(u,w,v5)).
a(x,y,a(z,u,w)) * (v5 * x) = v5 * L(x,y,a(z,u,w)).
(x * y) * a(y,z,a(u,w,v5)) != x * v6 | L(y,z,a(u,w,v5)) = v6.
(a(a(a(x,y,z),u,w),v5,v6) * (v5 * v6)) * (a(a(x,y,z),u,w) * v7) = (v5 * (a(a(x,y,z),u,w) * v6)) * v7.
(x * y) * (a(a(a(z,u,w),v5,v6),x,y) * (a(a(z,u,w),v5,v6) * v7)) = (x * (a(a(z,u,w),v5,v6) * y)) * v7.
T((x \ T(y,z)) * L(T(K(z,y) * x,y),u,w),(x \ T(y,z)) \ y) = (x \ T(y,z)) * L(K(z,y) * x,u,w).
L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z) = ((y * z) * x) * L(R(x \ 1,y,z),x,y * z).
T(L(x,y,z) * (x \ u),(x \ T(u,w)) \ u) = (x \ T(u,w)) * L(K(w,u) * x,y,z).
T(L(x,y,z) * (x \ u),T(K(w,u) * x,u)) = (x \ T(u,w)) * L(K(w,u) * x,y,z).
T(L(x,y,z) * (x \ u),T(K(w,u) * x,u)) = (x \ u) * L(x,y,z).
L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z) = (y * z) * (x * R(x \ 1,y,z)).
((x * y) * (z * R(z \ 1,x,y))) / (x * y) = a(x \ (z \ (x * y)),x,y).
(x * y) * ((z * R(z \ 1,x,y)) / (x * y)) = a(x \ (z \ (x * y)),x,y).
a(x \ (y \ (x * (x \ z))),x,(x * (x \ (y \ (x * (x \ z))))) \ z) = a(L(y \ 1,y,z),x,x \ z).
a(x \ (y \ z),x,(x * (x \ (y \ (x * (x \ z))))) \ z) = a(L(y \ 1,y,z),x,x \ z).
a(x \ (y \ z),x,(x * (x \ (y \ z))) \ z) = a(L(y \ 1,y,z),x,x \ z).
a(x \ (y \ z),x,(y \ z) \ z) = a(L(y \ 1,y,z),x,x \ z).
a(L(x \ 1,x,y),z,z \ y) = a(z \ (x \ y),z,T(x,y)).
a(L(x \ 1,x,y),z,z \ y) = a(z \ (x \ y),z,x).
a(x \ (y \ z),x,y) = a(x \ z,x,y).
(a(x \ y,x,z) * x) \ (x * z) = L(z,x,x \ (z \ y)).
L(x,y,y \ (x \ z)) = L(x,y,y \ z).
L(x,y,y \ z) * (x \ z) = ((z / x) / y) * (y * x).
((x / y) * (y * z)) / z = ((x / z) / y) * (y * z).
(((x * y) / y) / z) * (z * y) = x * L(y,z,z \ (x * y)).
x * L(y,z,z \ (x * y)) = (x / z) * (z * y).
L(x,y,y \ (z * x)) = L(x,y,y \ z).
L(x,y,L(z,y,x)) = L(x,y,y \ (z * y)).
L(x,y,L(z,y,x)) = L(x,y,T(z,y)).
L(x,y,L(z,y,x)) = L(x,y,z).
x * (L(x,y,z) \ (z * y)) = R(z,y,x) * y.
a(x,y,z) * (x * y) = R(x,y,z) * y.
a(x,y,z) = (x * y) \ T(T(R(x,y,z) * y,z),(z \ x) * y).
a(x,y,z) = (x * y) \ T(T(R(x,y,z) * y,z),z \ 1).
a(x,y,z) = (x * y) \ (R(x,y,z) * y).
a(x,y,z) = y \ (R(x,y,z) * (x \ y)).
a(L(x,y,z),y,z) = a(x,y,z).
((T(x,y) * K(z,u)) * (T(y,T(x,y) * K(z,u)) * w)) / w = L(w,y,T(x,y)) * (w \ (x * (y * K(z,u)))).
((T(x,y) * K(z,u)) * (T(y,T(x,y) * K(z,u)) * w)) / w = L(w,y,x) * (w \ (x * (y * K(z,u)))).
((T(x,y) * K(z,u)) * (T(y,T(x,y) * K(z,u)) * w)) / w = L(w,y,x) * ((w \ (x * y)) * K(z,u)).
((T(x,y) * K(z,u)) * (T(y,x * K(z,u)) * w)) / w = L(w,y,x) * ((w \ (x * y)) * K(z,u)).
(T(x,y) * (K(z,u) * (T(y,x * K(z,u)) * w))) / w = L(w,y,x) * ((w \ (x * y)) * K(z,u)).
(T(x,y) * (T(y,x) * (K(z,u) * w))) / w = L(w,y,x) * ((w \ (x * y)) * K(z,u)).
L(x,y,z) * ((x \ (z * y)) * K(u,w)) = (z * (y * (K(u,w) * x))) / x.
(x * (y * (K(z,u) * w))) / w = ((x * (y * w)) / w) * K(z,u).
(x * (y * R(y \ 1,z,u))) / T(x,y * R((x * y) \ x,z,u)) = (x \ (x * y)) * R((x \ (x * y)) \ 1,z,u).
(x * (y * R(y \ 1,z,u))) / T(x,y * R(x \ (x / y),z,u)) = (x \ (x * y)) * R((x \ (x * y)) \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / T(x,y * R(x \ (x / y),z,u))) = (x \ (x * y)) * R((x \ (x * y)) \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / T(x,y * R(x \ (x / y),z,u))) = y * R((x \ (x * y)) \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / T(x,y * R(x \ (x / y),z,u))) = y * R(y \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / T(x,y * (x \ (x / y)))) = y * R(y \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / T(x,y * (x / y))) = y * R(y \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / T(x,y / y)) = y * R(y \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / T(x,1)) = y * R(y \ 1,z,u).
x * ((y * R(y \ 1,z,u)) / x) = y * R(y \ 1,z,u).
a(x \ (y \ (x * z)),x,z) = y * R(y \ 1,x,z).
a(x,y,z) = z * R(z \ 1,y,x).
x \ (y * R(y \ x,z,u)) = a(u,z,x \ y).
a(x,y,z \ 1) = z \ R(z,y,x).
x * L(x \ 1,x,y) = a(y,x,x).
x * a(y,z,x \ 1) != u | R(x,z,y) = u.
x * (y \ (y / x)) = a(y,x,x).
x \ a(y,x,x) = y \ (y / x).
(x \ a(y,x,x)) * y = T(y / x,y).
a(x,y,L(z \ 1,z,u)) = a(x,y,z \ a(u,z,z)).
L(x,x,y) = (y \ (y / x)) \ 1.
R(x,x,y) = L(x,x,y).
a(x,y,L(z,z,u)) = a(x,y,(u \ (z \ u)) \ 1).
L(x,x,x \ y) = R(x,x,y).
L(x \ y,x \ y,x) = (y \ x) \ 1.
x \ ((x * x) * y) = L(x,x,y) * y.
L(x \ 1,x,y) = L(x,x,y) \ 1.
(x \ (x / y)) * L(L(y,y,x),z,u) = x \ ((x / y) * L(y,z,u)).
L(x,x,x \ y) = L(x,x,y).
R(L(x,x,y),z \ 1,u \ 1) = L(L(x \ 1,x,y),z,u) \ 1.
(x \ a(y,x,x)) * y = x \ y.
x \ ((y \ a(z,y,y)) * (z * (((y \ a(z,y,y)) * z) \ x))) = ((y \ a(z,y,y)) \ ((y \ z) * (z \ x))) \ x.
a(x \ a(y,x,x),y,y \ z) = a(z \ (x \ y),y,y \ z).
x \ ((y \ a(z,y,y)) * (z * (((y \ a(z,y,y)) * z) \ x))) = x / ((y \ a(z,y,y)) \ ((y \ z) * (z \ x))).
(x \ a(y,x,x)) \ ((x \ y) * z) = (y * z) * a(x \ a(y,x,x),y,z).
a(x \ a(y,x,x),y,y \ ((x \ y) * z)) = a(x \ a(y,x,x),y,z).
a(x \ (y \ z),z,y \ a(z,y,y)) = a(y \ a(z,y,y),z,z \ x).
x * ((x \ y) * (x \ y)) = y * ((y \ x) \ 1).
(x / y) * (y * L(y \ 1,x \ (x / y),x)) = x * (((x / y) \ x) \ 1).
(x * L(x \ 1,y \ (x \ y),y)) * (x \ y) = y * (((x \ y) \ y) \ 1).
x \ ((x * x) * (x \ y)) = L(x,x,y) * (x \ y).
a(x \ 1,y \ 1,z \ u) = L(z \ u,y,x) \ (z \ u).
x \ (R(y,z,u) * (y \ x)) = a(u,z,x \ (y \ x)).
(x * (y * z)) * (L(L(z \ 1,z,y),y * z,x) \ 1) = (x * y) * (((x * y) \ (x * (y * z))) * ((x * y) \ (x * (y * z)))).
x \ (L(x,x,y) * y) = x \ ((x * x) * (x \ y)).
a(x,y,y \ (z \ y)) = a(z,y,x).
a(x,y,(z * (u * w)) \ (L(w,u,z) \ (z * (u * w)))) = (z * (u * w)) \ (R(L(w,u,z),y,x) * T(z * u,w)).
x \ (L(y,z,a(u,w,v5)) * (y \ x)) = a(a(u,w,v5),z,x \ (y \ x)).
a(x,y,z \ (u \ z)) * (u * z) = T(R(u,y,x) * z,u * z).
a(x,y,L(z,z,y \ 1)) = a(z \ 1,y,x).
a(x,y,L(z \ 1,z,y)) = a(z,y,x).
a(x \ y,x,L(z \ 1,z,x)) = a(z,x,(z \ x) \ y).
a(x,y,z \ a(y,z,z)) = a(z,y,x).
a(x,y,(x \ y) \ z) = a(x,y,y \ z).
a(x,y,(x \ y) \ (z \ (x \ y))) = a(L(x \ 1,x,y),y,z).
L(x \ 1,y,x) = x \ 1.
(x * y) * (x \ 1) = x * (y * (x \ 1)).
x * ((y / (x \ 1)) * (x \ 1)) = 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).
L(x,y \ 1,y) = L(x,y,y \ 1).
(x * (y \ 1)) * y = L(x,y,y \ 1).
x \ L(x,y \ 1,y) = a(x,y,y \ 1).
((x / (y \ 1)) * ((y \ 1) * y)) / y = x * (L(x,y,y \ 1) \ x).
a(x,x \ 1,y) \ 1 = a(y,x,x \ 1).
a(x,y,y \ 1) \ 1 = a(y,y \ 1,x).
x * L(x \ 1,x,y) = a(x,x \ 1,y).
a(x,x \ 1,y) = a(y,x,x).
((x \ 1) * y) \ (x \ y) = a(y,x,x).
L(R(x,y \ 1,z \ 1),x,u) = L(L(x \ 1,x,u),y,z) \ 1.
(x \ y) \ (y * (T(R(x,z,z \ y) * y,x * y) \ y)) = x * L(x \ 1,z,z \ y).
(x \ a(y,x,x)) * L(L(x,x,y),z,u) = y \ ((y / x) * L(x,z,u)).
a(a(x,y,z),u,w \ (v5 \ w)) = w \ (a(a(x,y,z),u,v5) \ w).
a(a(x,y,z),u,w \ (v5 \ w)) = a(a(x,y,z),u,v5) \ 1.
a(a(x,y,z),u,w \ (v5 \ w)) = a(v5,u,a(x,y,z)).
a(a(x,y,z),u,w \ 1) = a(w,u,a(x,y,z)).
a(a(x,y,z),u,w \ a(v5,v6,v7)) = a(a(v5,v6,v7) \ w,u,a(x,y,z)).
a(x \ 1,y,a(z,u,w)) = a(a(z,u,w),y,x).
R(x,y \ 1,a(z,u,w) \ 1) = a(x,y,a(z,u,w)) * x.
R(x,y \ 1,a(z,u,w) \ 1) = L(x,y,a(z,u,w)).
(x / y) * (y * L(y \ 1,x \ (y \ x),x)) = x * (((x / y) \ x) \ 1).
(x / y) * (y * L(y \ 1,x \ (y \ x),x)) = x * (y \ 1).
(x / y) * z != x * (y \ 1) | y * L(y \ 1,x \ (y \ x),x) = z.
(x \ y) \ (y * (T((x * z) * (z \ y),x * y) \ y)) = x * L(x \ 1,z,z \ y).
(x \ y) \ (y * (((x * z) * (z \ y)) \ y)) = x * L(x \ 1,z,z \ y).
(x \ y) \ (z * ((x * z) \ y)) = x * L(x \ 1,z,z \ y).
(x / y) * (y * (x \ (z \ x))) = y * ((z * y) \ x).
((x \ a(y,x,x)) \ ((x \ y) * (y \ z))) \ z = z \ ((x \ a(y,x,x)) * (y * ((x \ y) \ z))).
x / ((y \ a(z,y,y)) \ ((y \ z) * (z \ x))) = x \ ((y \ a(z,y,y)) * (z * ((y \ z) \ x))).
a(x,y,(z * (u * w)) \ (L(w,u,z) \ (z * (u * w)))) = (z * (u * w)) \ (L(R(w,y,x),u,z) * T(z * u,w)).
a(x,y,(z * (u * w)) \ (L(w,u,z) \ (z * (u * w)))) = (z * (u * w)) \ ((z * u) * L(R(w,y,x),u,z)).
a(x,y,(z * (u * w)) \ (L(w,u,z) \ (z * (u * w)))) = (z * (u * w)) \ (z * (u * R(w,y,x))).
a(x,y,(z * (u * w)) \ T(z * u,w)) = (z * (u * w)) \ (z * (u * R(w,y,x))).
(x * (y * z)) \ (x * (y * R(z,u,w))) = a(w,u,(x * (y * z)) \ (x * y)).
(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,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 * R(x \ 1,y,z),u,w) = a(z,y,L(x,u,w)).
L(x,y,z) * (L(L(x,y,z),u,w) \ 1) != v5 | L(x * R(x \ 1,u \ 1,w \ 1),y,z) = v5.
a(x,y,L(z,u,w)) = L(a(x,y,z),u,w).
a(x,y,z) * a(a(x,y,z),u,w) = a(x,y,L(z,u,w)).
L(a(x,y,z \ 1),z,y) = a(z,y,x).
(x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)).
(x * T(y,z)) / a(u,w,L(v5,a(u,w,v5) \ y,x)) = x * (T(y,z) / a(u,w,v5)).
a(x,y,L(z,u,w)) * (u * w) = (a(x,y,z) * u) * w.
a(x,y,L(z,u \ 1,w \ 1)) \ a(x,y,z) = a(x,y,z) * L(a(x,y,z) \ 1,u,w).
a(x,y,L((y * x) \ z,u,w)) = L(a(x,y,y \ z),u,w).
a(a(x,y,z),u,w) \ (a(x,y,z) \ v5) = a(x,y,L(z,u,w)) \ v5.
a(x,x \ 1,L(y,z,u)) = L(a(y,x,x),z,u).
a(x,y,z) = L(x \ R(x,y,z),x,y).
x * (y * (y \ R(y,x,z))) = (x * y) * a(y,x,z).
a(L(x,y,z),u,u) = L(a(x,u,u),y,z).
a(L(x,y,z),u,u) = a(x,u,L(u,y,z)).
a(x,y,L(y,z,u)) \ y = L(y,y,L(x,z,u)).
L(T(L(x,x,L(y,z,u)),L(x,z,u)),L(x,z,u),x) = L(x,L(x,z,u),y).
(x * y) * a(y,x,z) = x * R(y,x,z).
a(x,y,z) \ a(x,y,L(z,u,w)) = a(a(x,y,z),u,w).
a(x,y,z) \ a(x,y,L(z,u,w)) != v5 | a(a(x,y,z),u,w) = v5.
L(a(a(x,y,z),u,w) \ v5,a(a(x,y,z),u,w),a(x,y,z)) = a(x,y,L(z,u,w)) \ (a(x,y,z) * v5).
R(x * a(y,z,u),L(a(a(y,z,u),w,v5),a(y,z,u),x),v6) \ ((x * a(y,z,L(u,w,v5))) * v6) = L(a(a(y,z,u),w,v5),a(y,z,u),x) * v6.
a(x,y,L(z,u,L(w \ 1,w,v5))) = a(x,y,z) * a(a(x,y,z),u,v5 \ (w \ v5)).
((x * a(y,z,L(u,w,v5))) / a(a(y,z,u),w,v5)) \ (x * a(y,z,u)) = a(x,a(y,z,u),a(a(y,z,u),w,v5)).
a(x,y,L(z,z,u)) * a(a(x,y,(u \ (z \ u)) \ 1),w,v5) = a(x,y,L(L(z,z,u),w,v5)).
a(x,y,z) * a(u,w,a(x,y,z)) = a(x,y,L(z,w,u \ 1)).
(a(x,y,z) * u) * w != v5 * (u * w) | a(x,y,L(z,u,w)) = v5.
(a(x,y,z) * u) * z = a(x,y,z) * (u * z).
L(x,y,a(z,u,x)) = x.
L(x,a(y,z,x),a(y,z,x) \ 1) = x.
a(x,y,z) \ (u * z) = (a(x,y,z) \ u) * z.
x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x).
L(x,y,a(x,z,u)) = x.
a(x,y,a(x,z,u)) = 1.
L(L(x,y,z),u,a(x,w,v5)) = L(x,y,z).
(x \ 1) * a(x \ 1,y,z) = x \ a(x \ 1,y,z).
R(x,y \ 1,a(x \ 1,z,u) \ 1) = (x \ 1) \ 1.
a(x,y,z) * (x * u) = x * (a(x,y,z) * u).
L(a(x,y,z),u,x) = a(x,y,z).
a(x,y,L(z,u,x)) = a(x,y,z).
(x \ 1) * a(x,y,z) = x \ a(x,y,z).
x * ((x \ y) * a(x,z,u)) = y * a(x,z,u).
(x * y) * a(z,u,a(x,w,v5)) = x * (y * a(z,u,a(x,w,v5))).
a(L(L(x,y,z) \ 1,L(x,y,z),u * z),u,z) = a(z,u,x).
a(x,y,(x \ z) \ u) = a(x,y,z \ (x * u)).
(a(x,y,z) \ u) * T(L(x,w,v5),u) = a(x,y,z) \ (L(x,w,v5) * u).
a(x,y,z) * (x \ 1) = x \ a(x,y,z).
(x \ a(x,y,z)) * L(u,a(x,y,z),x \ 1) = (x \ 1) * (a(x,y,z) * u).
((x \ a(x,y,z)) * u) / ((x \ 1) * (a(x,y,z) * u)) = a(x \ 1,a(x,y,z),u).
((x \ a(x,y,z)) * u) / (a(x,y,z) * ((x \ 1) * u)) = a(a(x,y,z),x \ 1,u).
(x \ a(x,y,z)) \ (u \ ((u * (x \ 1)) * a(x,y,z))) = a(u,x \ 1,a(x,y,z)).
a(x \ (y \ a(y,z,u)),a(y,z,u),y \ 1) = a(y \ 1,a(y,z,u),a(y,z,u) \ x).
a((x \ 1) \ (y \ (x \ a(x,z,u))),x \ 1,a(x,z,u)) = a(a(x,z,u),x \ 1,y).
(x \ a(x,y,z)) * L(u,x \ 1,a(x,y,z)) = a(x,y,z) * ((x \ 1) * u).
(x \ a(x,y,z)) \ (u \ ((u * a(x,y,z)) * (x \ 1))) = a(u,a(x,y,z),x \ 1).
(a(x,y,z) \ (u / z)) * z = a(x,y,z) \ u.
x * ((x \ y) * a(z,u,x)) = y * a(z,u,x).
x \ (a(y,z,x) * u) = (x \ u) * a(y,z,x).
a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u).
x * (a(x,y,z) \ 1) = a(x,y,z) \ x.
x * (T(a(x,y,z),u) * w) = a(x,y,z) * (x * w).
K(a(x,y,z) \ 1,x) * (x / (a(x,y,z) \ 1)) = x * (x / (a(x,y,z) \ x)).
x * (a(y,z,x) \ (x \ u)) = a(y,z,x) \ u.
x * ((x \ ((a(y,z,x) \ 1) \ u)) * a(y,z,x)) = a(y,z,x) * (u / (a(y,z,x) \ 1)).
(x * (a(x,y,z) \ y)) * z = x * (y * z).
T(x * (a(x,y,z) \ y),K(u,x * y)) = (x * (y * z)) / z.
L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (x * (y * a(z,u,w))).
a(x,y,z) \ (z \ u) = z \ (a(x,y,z) \ u).
x * (a(y,z,x) \ (x \ u)) != w | a(y,z,x) \ u = w.
x \ a(x \ 1,y,z) != u | a(x \ 1,y,z) * (x \ 1) = u.
R(x,y \ 1,a(x \ 1,z,u) \ 1) = x.
L(x,y,a(x \ 1,z,u)) = x.
L(x \ 1,y,a(x,z,u)) = x \ 1.
(a(x \ 1,y,z) * u) * L(x,w,v5) = a(x \ 1,y,z) * (u * L(x,w,v5)).
a(x,y,z) * ((x \ 1) * u) = (x \ 1) * (a(x,y,z) * u).
(a(x,y,z) * x) * L(u,a(x,y,z),x) = a(x,y,z) * (x * u).
(a(x,y,z) \ a(x,y,L(z,u,w))) * 1 = a(a(x,y,z),u,w).
a(x,y,z) * a(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5.
a(x,y,L((y * x) \ z,u,w)) = a(x,y,L(y \ z,u,w)).
a(x,y,L(y \ (y * z),u,w)) = a(x,y,x * L(x \ z,u,w)).
a(x,y,a(z,u,w)) * a(z,u,w) = a(z,u,L(w,y,x \ 1)).
a(a(x,y,z),u,w) * (a(x,y,z) \ v5) = a(x,y,L(z,u,w \ 1)) \ v5.
a(L(L(x \ 1,x,y),y,z),y,z) = a(z,y,x).
a(L(x \ 1,x,y),y,z) = a(z,y,x).
a(x,y,(x \ y) \ (z \ (x \ y))) = a(z,y,x).
a(x \ ((y \ x) * z),x,y) = a(L(y \ 1,y,x),x,z).
a(x \ (y \ z),z,z \ x) = a(z \ x,z,y).
a(x \ 1,a(x,y,z),u) = a(u,a(x,y,z),x).
a(x,y,y \ (z \ (x \ y))) = a(z,y,x).
a(x \ a(y,x,x),y,y \ z) = a(y \ z,y,x).
a(x \ (y \ z),z,y \ a(z,y,y)) = a(z \ x,z,y).
a(x \ a(y,x,x),y,z) = a(y \ ((x \ y) * z),y,x).
a(x \ ((y \ x) * z),x,y) = a(z,x,y).
a(x,y,z \ (x \ y)) = a(y \ z,y,x).
a(x \ a(y,x,x),y,z) = a(z,y,x).
(x \ a(y,x,x)) \ ((x \ y) * z) = (y * z) * a(z,y,x).
(x \ a(y,x,x)) \ ((x \ y) * z) = y * R(z,y,x).
x \ ((y \ a(z,y,y)) * (z * ((y \ z) \ x))) = (z * R(z \ x,z,y)) \ x.
x \ ((y \ a(z,y,y)) * (z * ((y \ z) \ x))) = x / (z * R(z \ x,z,y)).
K(x,y) * (z * (T(u,K(x,y) * z) * a(w,v5,a(z,v6,v7)))) = (z * T(u * K(x,y),z)) * a(w,v5,a(z,v6,v7)).
K(x,y) * (z * (T(T(y,z),x) * a(u,w,a(z,v5,v6)))) = (z * T(y,z)) * a(u,w,a(z,v5,v6)).
(x * (K(y,z) * u)) \ ((u * T(x * K(y,z),u)) * a(w,v5,a(u,v6,v7))) = L(a(w,v5,a(u,v6,v7)),x,u).
L(x,a(y,z,u),y) = L(x,y,a(y,z,u)).
a(x,a(x,y,z),L(u,x,a(x,y,z))) = a(x,a(x,y,z),u).
a(x,a(x,y,z),x * u) = a(x,a(x,y,z),u).
L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5.
R(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5.
a(x,y,x * L(x \ z,u,w)) = a(x,y,L(z,u,w)).
a(x,y,z) \ (L(x,u,w) * v5) = L(x,u,w) * (a(x,y,z) \ v5).
L(T(L(x,x,L(y,z,u)),x),L(x,z,u),x) = L(x,L(x,z,u),y).
L(L(x,x,L(y,z,u)),L(x,z,u),x) = L(x,L(x,z,u),y).
L(x,L(x,y,z),u) = L(x,x,L(u,y,z)).
a(x,y,L(z,L(z,y,x),y \ 1)) \ z = L(z,y,x).
a(x,y,L(z,z,L(y \ 1,y,x))) \ z = L(z,y,x).
(x \ a(x,y,z)) * L(u,x \ 1,a(x,y,z)) = (x \ 1) * (a(x,y,z) * u).
(a(x \ 1,y,z) * (x \ 1)) * L(x,u,w) = a(x \ 1,y,z) * (x \ L(x,u,w)).
x / (y * R(y \ x,y,z)) = (y * R(y \ x,y,z)) \ x.
L(x,a(y,z,u),y \ 1) = L(x,y \ 1,a(y,z,u)).
L(x,y \ 1,a(y,z,u)) * ((y \ 1) * a(y,z,u)) = (x * a(y,z,u)) * (y \ 1).
K(x,a(x,y,z)) * (x / (a(x,y,z) \ 1)) = x * (x / (a(x,y,z) \ x)).
1 * (x / (a(x,y,z) \ 1)) = x * (x / (a(x,y,z) \ x)).
1 * ((a(x,y,z) \ 1) \ x) = x * (x / (a(x,y,z) \ x)).
x * (x / (a(x,y,z) \ x)) = (a(x,y,z) \ 1) \ x.
(a(x,y,z) \ 1) \ x = x * a(x,y,z).
x * (L(x,y,z) * (x \ a(L(x,y,z),u,w))) = (a(L(x,y,z),u,w) \ 1) \ L(x,y,z).
(x * (y * z)) \ ((x * y) * ((a(L(z,y,x),u,w) \ 1) \ L(z,y,x))) = L(a(L(z,y,x),u,w),L(z,y,x),x * y).
a(a(x,y,z) \ 1,x * a(x,y,z),u) * (((a(x,y,z) \ 1) \ x) * u) = (a(x,y,z) \ 1) \ (x * u).
a(x,y,L(z,a(x,y,z) \ u,w)) \ (w * T(u,v5)) = w * (T(u,v5) / a(x,y,z)).
a(x,y,L(z,u,L(w \ 1,w,v5))) = a(x,y,z) * a(w,u,a(x,y,z)).
a(x,y,L(z,u,L(w \ 1,w,v5))) = a(x,y,L(z,u,w \ 1)).
a(x,y,L(z,z,y \ 1)) \ z = L(z,y,x).
L(x,y,z) = a(x \ 1,y,z) \ x.
a(x \ 1,y,z) = L(x,y,z) \ x.
a(x,y,z) \ (x \ 1) = L(x \ 1,y,z).
a(x \ 1,y,z) \ 1 = x \ L(x,y,z).
x \ a(x \ 1,y,z) = L(x,y,z) \ 1.
L(a(x,y,z) \ 1,u,w) = a(x,y,L(z,u,w)) \ 1.
L(x \ 1,y,y \ (z \ (y * x))) = a(z,y,x) \ (x \ 1).
x * (a(y \ 1,z,u) \ 1) = x * (y \ L(y,z,u)).
L(x,y,z) = x * (a(x \ 1,y,z) \ 1).
L(x,y,z) * (x \ L(x,u,w)) = (a(x \ 1,y,z) \ 1) * L(x,u,w).
a(x \ 1,y,z) * (x \ 1) = L(x,y,z) \ 1.
L(a(x,y,z) \ 1,u,w) != v5 \ 1 | a(x,y,L(z,u,w)) = v5.
x * L(a(x \ 1,y,z) \ 1,u,w) = L(x,y,L(z,u,w)).
x * L(a(x \ 1,y,z) \ 1,x,y) = L(x,y,x * z).
a(x \ 1,y,z) * (x \ L(x,u,w)) = (L(x,y,z) \ 1) * L(x,u,w).
(x * a(y,z,u)) * (y \ 1) = (x * (y \ 1)) * a(y,z,u).
(x \ a(x,y,z)) \ (u \ ((u * (x \ 1)) * a(x,y,z))) = a(u,a(x,y,z),x \ 1).
a(x,y,L(z,a(x,y,z) \ u,w)) \ (w * T(u,v5)) = w * (a(x,y,z) \ T(u,v5)).
a(x,y,L(z,a(x,y,z) \ u,w)) \ (w * T(u,v5)) = w * T(a(x,y,z) \ u,v5).
L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = L(T(y,a(z,u,w)),a(z,u,w),x).
L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = L(y,a(z,u,w),x).
L(a(a(x,y,z),u,w) * u,w,a(x,y,z)) = L(u,a(x,y,z),w).
((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z).
K(x \ 1,x) = ((y \ 1) / (y \ L(y,z,u))) * L(y,z,u).
(x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1.
x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1.
x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1.
(x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1.
(x * L(x \ 1,y,z)) \ x = R(x,y \ 1,z \ 1).
R(R(x,y \ 1,z \ 1),x * L(x \ 1,y,z),x \ u) \ u = u * L(u \ (x \ u),y,z).
L(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(L(x,u,w),y,z) \ L(x,u,w).
L(L(x,y,z),u,w) \ L(x,y,z) = L(x * (L(x,u,w) \ 1),y,z).
L(L(x,y,z),u,w) \ L(x,y,z) = L(L(x,u,w) \ x,y,z).
L(L(x,y,z) \ x,u,x) = L(x,y,z) \ L(x,u,x).
L(x,y,z) \ L(L(x,y,z),u,w) = L(L(x,u,w) \ x,y,z) \ 1.
L(L(x,y,z) \ x,u,x) = L(x,y,z) \ x.
(L(x,y,z) \ x) * L(L(x,y,z),u,w) = x * (L(L(x,u,w) \ x,y,z) \ 1).
x * (L(L(y,z,u) \ y,w,v5) \ 1) = x * (a(L(y,w,v5) \ 1,z,u) \ 1).
(L(x,y,z) \ x) * L(L(x,u,w),y,z) = x * (L(L(x,u,w) \ x,y,z) \ 1).
K(x,y) * (z * (T(T(y,z),x) * a(u,w,a(z,v5,v6)))) = (y * z) * a(u,w,a(z,v5,v6)).
K(x,y) * (z * T(a(u,w,a(z,v5,v6)) * T(y,z),x)) = (y * z) * a(u,w,a(z,v5,v6)).
K(x,y) * (z * T(T(y * a(u,w,a(z,v5,v6)),z),x)) = (y * z) * a(u,w,a(z,v5,v6)).
K(x,y) * (T(y * a(z,u,a(w,v5,v6)),x) * w) = (y * w) * a(z,u,a(w,v5,v6)).
K(x,y) * (T(y,x) * (z * a(u,w,a(z,v5,v6)))) = (y * z) * a(u,w,a(z,v5,v6)).
(x * y) * a(z,u,a(y,w,v5)) = x * (y * a(z,u,a(y,w,v5))).
x * (y * a(z,u,a(y,w,L(v5 \ 1,v5,w)))) = (x * y) * a(z,u,a(v5,w,y)).
(x * y) * a(z,u,a(w,v5,y)) = x * (y * a(z,u,a(w,v5,y))).
a(x,y,a(z,u,w)) * (v5 * w) = v5 * (w * a(x,y,a(z,u,w))).
L(x * a(y,z,a(u,w,v5)),a(a(u,w,v5),z,y),a(u,w,v5)) = a(u,w,L(v5,z,y)) \ (a(u,w,v5) * x).
(x * (K(y,z) * u)) \ (((x * K(y,z)) * u) * a(w,v5,a(u,v6,v7))) = L(a(w,v5,a(u,v6,v7)),x,u).
(x * (K(y,z) * u)) \ ((x * (K(y,z) * u)) * a(w,v5,a(u,v6,v7))) = L(a(w,v5,a(u,v6,v7)),x,u).
a(x,y,L(z,u,w)) \ (a(x,y,z) * v5) = v5 * a(w,u,a(x,y,z)).
a(x,y,L(z,u,w)) \ (a(x,y,z) * v5) != v6 | v5 * a(w,u,a(x,y,z)) = v6.
a(x,y,L(z,u,w)) \ a(x,y,z) = a(w,u,a(x,y,z)).
a(x,y,a(z,u,w)) != v5 \ a(z,u,w) | a(z,u,L(w,y,x)) = v5.
(a(a(x,y,z),u,w) \ (v5 * a(x,y,L(z,u,w)))) \ (v5 * a(x,y,z)) = a(v5,a(x,y,z),a(a(x,y,z),u,w)).
(a(x,y,a(z,u,w)) * (v5 * a(z,u,L(w,y,x)))) \ (v5 * a(z,u,w)) = a(v5,a(z,u,w),a(a(z,u,w),y,x)).
K(x,y) * (z * (T(u,K(x,y) * z) * a(w,v5,a(z,v6,v7)))) = ((u * K(x,y)) * z) * a(w,v5,a(z,v6,v7)).
K(x,y) * (z * (T(u,K(x,y) * z) * a(w,v5,a(z,v6,v7)))) = (u * (K(x,y) * z)) * a(w,v5,a(z,v6,v7)).
K(x,y) * (z * T(a(u,w,a(z,v5,v6)) * v7,K(x,y) * z)) = (v7 * (K(x,y) * z)) * a(u,w,a(z,v5,v6)).
K(x,y) * (T(a(z,u,a(w,v5,v6)) * v7,K(x,y)) * w) = (v7 * (K(x,y) * w)) * a(z,u,a(w,v5,v6)).
K(x,y) * (T(z,K(x,y)) * (u * a(w,v5,a(u,v6,v7)))) = (z * (K(x,y) * u)) * a(w,v5,a(u,v6,v7)).
(x * (K(y,z) * u)) * a(w,v5,a(u,v6,v7)) = x * (K(y,z) * (u * a(w,v5,a(u,v6,v7)))).
(x * (K(y,z) * u)) \ (x * (K(y,z) * (u * a(w,v5,a(u,v6,v7))))) = L(a(w,v5,a(u,v6,v7)),x,u).
L(L(a(x,y,a(z,u,w)),z,K(v5,v6)),K(v5,v6) * z,v7) = L(a(x,y,a(z,u,w)),v7,z).
L(a(x,y,a(z,u,w)),K(v5,v6) * z,v7) = L(a(x,y,a(z,u,w)),v7,z).
L(a(x,y,a(z,u,w)),v5,z) = L(a(x,y,a(z,u,w)),z,v5).
a(x,y,L(a(z,u,w),z,v5)) = L(a(x,y,a(z,u,w)),v5,z).
a(x,y,a(z,u,L(w,z,v5))) = L(a(x,y,a(z,u,w)),v5,z).
a(x,y,a(z,u,L(w,z,v5))) = a(x,y,L(a(z,u,w),v5,z)).
a(x,y,a(z,u,L(w,z,v5))) = a(x,y,a(z,u,w)).
(T(x,y) \ (z * u)) \ (z * (u * T((z * u) \ (x \ (z * u)),y))) = u \ (a(z,u,(z * u) \ (x \ (z * u))) \ u).
(T(x,y) \ (z * u)) \ (z * (u * T((z * u) \ (x \ (z * u)),y))) = u \ (a(z,u,u \ (x \ (z * u))) \ u).
(T(x,y) \ (z * u)) \ (z * (u * T((z * u) \ (x \ (z * u)),y))) = u \ (a(x,u,z) \ u).
(x * a(y,x,z)) \ ((x * L(x \ (x * a(y,x,z)),u,w)) * z) = L(z,x,y) * L(L(z,x,y) \ z,u,w).
(x * (y * z)) * (L(L(z \ 1,z,y),y * z,x) \ 1) = (x * y) * (L(z,y,x) * ((x * y) \ (x * (y * z)))).
(x * (y * z)) * (L(L(z \ 1,z,y),y * z,x) \ 1) = (x * y) * (L(z,y,x) * L(z,y,x)).
(x * (y * z)) * L(R(z,(y * z) \ 1,x \ 1),z,y) = (x * y) * (L(z,y,x) * L(z,y,x)).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L(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,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5.
L(((x \ y) \ 1) * L(((x \ y) \ 1) \ 1,z,u),x \ y,y) = (y \ x) * L(L((x \ y) \ 1,x \ y,y) \ 1,z,u).
L(x * L(x \ 1,y,z),u,x) = x * L(L(x,u,x) \ 1,y,z).
K(L(L(x,y,z) \ 1,u,w),v5) / (L(x,y,z) * T(L(L(x,y,z) \ 1,u,w),v5)) = L(x * L(x \ 1,u,w),y,z) \ 1.
L(x \ 1,x,y) * L(L(x \ 1,x,x \ y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),x,x \ y).
(L(x * L(x \ 1,y,z),u,w) \ 1) * L(x,u,w) = L(1 / L(x,u,w),y,z) \ 1.
L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z).
x \ (y * ((x / z) * (z * (x \ (y \ x))))) = y * L(y \ 1,z,z \ x).
x \ (y * (z * ((y * z) \ x))) = y * L(y \ 1,z,z \ x).
x * L(x \ 1,y,y \ ((y * x) / z)) = z * L(z \ 1,y,x).
(x \ ((x * y) * z)) \ (y * z) = x * L(x \ 1,y,y \ (y * z)).
(T(x,y) \ (z * u)) \ (z * (u * T((z * u) \ (x \ (z * u)),y))) = z * L(z \ 1,u,u \ (T(x,y) \ (z * u))).
x \ ((y \ a(z,y,y)) * (z * ((y \ z) \ x))) = (y \ a(z,y,y)) * L((y \ a(z,y,y)) \ 1,z,z \ x).
x * L(x \ 1,y,y \ (z \ (y * x))) = z * L(z \ 1,y,x).
T(x \ (y \ x),z) * L(T(x \ (y \ x),z) \ 1,x,x \ (u \ (T(y,z) \ x))) = u * L(u \ 1,x,T(x \ (y \ x),z)).
x * L(x \ 1,y,z) = z * (a(x,y,z) \ (z \ 1)).
x * L(x \ 1,y,z) = a(x,y,z) \ 1.
x \ (y * L(y \ x,z,u)) = u * (a(x \ y,z,u) \ (u \ 1)).
T((x * (y * (a(z,u,y) \ (y \ 1)))) / (x * z),w) = (x * (z * T(L(z \ 1,u,y),w))) / (x * z).
x * L(x \ 1,y,z) != u | a(x,y,z) \ 1 = u.
a(x,y,z) * L(a(x,y,z) \ 1,u,w) = a(w,u,a(x,y,z)).
x \ (y * L(y \ x,z,u)) = a(x \ y,z,u) \ 1.
a(x,y,z) = x \ R(x,y \ 1,z \ 1).
K(x,y) * (a(z,u,w) \ 1) = z * L(z \ K(x,y),u,w).
(a(x \ y,z,u) \ 1) * x = y * L(y \ (1 * x),z,u).
(x * y) * L(y \ (x \ y),z,u) = y * (a(x,z,u) \ 1).
(a(x,y,z) \ 1) * (x \ u) = u * L(u \ (x \ u),y,z).
((x \ y) \ ((a(x,z,u) \ 1) \ (x \ y))) * y = L(y \ (y / x),z,u) \ (x \ y).
((x / y) \ ((a(y,z,u) \ 1) \ (x / y))) * x = L(x / (x * y),z,u) \ (x / y).
T((a(x,y,z) \ 1) \ (u * x),x \ 1) = (x * L(x \ 1,y,z)) \ (x * u).
(x * ((a(x,y,z) \ 1) \ (y * z))) \ (y * z) = (y * z) \ (z * (y * ((z * y) \ (x \ (y * z))))).
R(R(x,y \ 1,z \ 1),a(x,y,z) \ 1,x \ u) \ u = u * L(u \ (x \ u),y,z).
x \ R(x,y \ 1,z) = a(x,y,z \ 1).
a(x,y \ 1,z \ 1) = a(z,y,x \ 1).
a(x \ 1,y,z \ 1) = a(z,y \ 1,x).
L(x,y,z \ 1) \ x = a(z,y \ 1,x).
a(x \ 1,y \ 1,z) = a(z \ 1,y,x).
a(x,y \ 1,z) \ 1 = z \ L(z,y,x \ 1).
(x \ 1) \ (((x \ 1) * x) * (x \ y)) = y * a(x,x \ 1,y).
((x / (y \ 1)) * ((y \ 1) * y)) / y = x * a(y,y \ 1,x).
x * (a(y \ 1,z,x) \ 1) = L(x,z \ 1,y).
x * L(x \ K(y,z),u,w) = K(y,z) / a(x,u,w).
x * L(x \ K(y,z),u,w) = a(x,u,w) \ K(y,z).
x * L(T(x \ 1,y),z,u) = a(x,z,u) \ K(y,x).
(a(x \ y,z,u) \ 1) * x = y * L(y \ x,z,u).
a(x,y,L(z,u \ 1,w \ 1)) \ a(x,y,z) = a(w,u,a(x,y,z)).
((x / (y \ 1)) * T(1,y)) / y = x * a(y,y \ 1,x).
((x / (y \ 1)) * 1) / y = x * a(y,y \ 1,x).
x * a(y,y \ 1,x) = (x / (y \ 1)) / y.
x * a(y,y \ 1,x) = y \ ((y \ 1) \ x).
(x \ 1) \ (((x \ 1) * x) * (x \ y)) = x \ ((x \ 1) \ y).
(x \ 1) \ (T(1,x) * (x \ y)) = x \ ((x \ 1) \ y).
(x \ 1) \ (1 * (x \ y)) = x \ ((x \ 1) \ y).
(x \ 1) \ (x \ y) = x \ ((x \ 1) \ y).
L((x \ 1) \ (x \ (y * x)),x,y) = ((x \ 1) * x) \ (y * x).
L((x \ 1) \ T(y,x),x,y) = ((x \ 1) * x) \ (y * x).
L(x / (y \ 1),y,x) = ((y \ 1) * y) \ (x * y).
L(x / (y \ 1),y,x) = T(1,y) \ (x * y).
L(x / (y \ 1),y,x) = 1 \ (x * y).
L(x / (y \ 1),y,x) = x * y.
x \ ((y \ x) * L((y \ x) \ x,z,u)) = u * (a(L(y \ 1,y,x),z,u) \ (u \ 1)).
(x \ ((x * y) * z)) \ (y * z) = x * L(x \ 1,y,z).
(x * y) * (z * L(z \ 1,x,y)) = x * L(y,x,z).
x * (y * (z * ((y * z) \ (x \ (z * y))))) = z * L(y,z,x).
a(x \ 1,y \ 1,a(z,u,w)) = a(x,y,a(z,u,w)).
a(a(x,y,z) \ 1,u,w) = a(w,u,a(x,y,z)).
a(a(x,y,z),u \ 1,w) = a(w,u,a(x,y,z)).
a(x,(a(y,z,u) \ 1) \ w,a(y,z,u)) * (((a(y,z,u) \ 1) \ w) * x) = (a(y,z,u) \ 1) \ (w * x).
a(x,y * a(y,z,u),a(y,z,u)) * (((a(y,z,u) \ 1) \ y) * x) = (a(y,z,u) \ 1) \ (y * x).
((x \ a(x,y,z)) * u) / (a(x,y,z) * ((x \ 1) * u)) = a(u,x,a(x,y,z)).
a(x,y \ 1,a(z,u,w)) = a(a(z,u,w),y,x).
(x \ a(x,y,z)) \ (u \ ((u * (x \ 1)) * a(x,y,z))) = a(a(x,y,z),x,u).
a(a(x,y,z),x,(x \ 1) \ (u \ (x \ a(x,y,z)))) = a(a(x,y,z),x \ 1,u).
T((a(x,y,z) \ 1) \ (u * x),x \ 1) = (a(x,y,z) \ 1) \ (x * u).
((x \ a(x,y,z)) * u) / ((x \ 1) * (a(x,y,z) * u)) = a(u,x,a(x,y,z)).
a(x,a(y,z,u),y \ 1) = a(a(y,z,u),y,x).
a(a(x,y,z),x,u \ (x \ a(x,y,z))) = a(x \ 1,a(x,y,z),a(x,y,z) \ u).
a(x \ 1,a(x,y,z),u) = a(u,x,a(x,y,z)).
a(x,a(y,z,u),y) = a(x,y,a(y,z,u)).
a(x,a(y,z,u),a(a(y,z,u),w,v5)) = 1.
a(a(x,y,z) \ (u \ (x * a(x,y,z))),x,a(x,y,z)) = a(x,a(x,y,z),u).
a((x * a(x,y,z)) \ u,x,a(x,y,z)) = a(a(x,y,z) \ u,a(x,y,z),x).
(x * (a(y,z,u) * y)) * a(x,y,a(y,z,u)) = (x * a(y,z,u)) * y.
(a(x,y,a(y,z,u)) * a(y,z,u)) \ (a(y,z,u) * y) = L(y,a(y,z,u),x).
a(x,a(y,z,u),a(a(y,z,u),w,v5)) = v6 \ v6.
a(a(x,y,z),u,L(w,a(x,y,z),v5)) = a(a(x,y,z),u,w).
a(x,y,a(z,u,w)) * (v5 * a(z,u,L(w,y,x))) = v5 * a(z,u,w).
a(x,y,a(z,u,w)) * v5 != v6 * a(z,u,w) | v6 * a(z,u,L(w,y,x)) = v5.
L(x,y,a(y,z,u)) * (a(y,z,u) * y) = (x * a(y,z,u)) * y.
(x * a(y,z,u)) * y != w | (x * y) * a(y,z,u) = w.
a(a(x,y,z),x,(u \ (x * a(x,y,z))) \ a(x,y,z)) = a(x,a(x,y,z),u).
a((x * a(x,y,z)) \ u,x,a(x,y,z)) = a(a(x,y,z) \ u,x,a(x,y,z)).
a(x,y,L(z,x,u \ 1)) \ (a(x,y,z) * x) = L(x,a(x,y,z),u).
x * a(y \ 1,x,a(x,z,u)) = L(x,a(x,z,u),y).
a(a(x,y,z),x,(u \ a(x,y,z)) \ (x \ a(x,y,z))) = a(x,a(x,y,z),u).
a((x * a(x,y,z)) \ u,x,a(x,y,z)) = a(a(x,y,z),x,u \ a(x,y,z)).
a(a(x,y,z),x,(x \ 1) \ (u \ (x \ a(x,y,z)))) = a(u,x,a(x,y,z)).
((x \ y) \ ((a(x,z,u) \ 1) \ (x \ y))) * y = L(y / (y * x),z,u) \ (y / x).
a(a(x,y,z),x,u \ (x \ a(x,y,z))) = a(a(x,y,z) \ u,x,a(x,y,z)).
a(a(x,y,z),x,u \ (x \ a(x,y,z))) = a(a(x,y,z),x,u \ a(x,y,z)).
a(a(x,y,z),x,(u \ a(x,y,z)) \ a(x,y,z)) = a(x,a(x,y,z),u).
a(a(x,y,z),x,T(u,a(x,y,z))) = a(x,a(x,y,z),u).
a(a(x,y,z),x,u) = a(x,a(x,y,z),u).
a((x * a(x,y,z)) \ u,x,a(x,y,z)) = a(x,a(x,y,z),u \ a(x,y,z)).
a(x,a(x,y,z),(x \ 1) \ (u \ (x \ a(x,y,z)))) = a(u,x,a(x,y,z)).
a(x,a(x,y,z),u \ 1) = a(u,x,a(x,y,z)).
a(x,a(x,y,z),u) \ w = w * a(u,x,a(x,y,z)).
a(x,a(x,y,L(z \ 1,z,y)),u) = a(a(z,y,x),x,u).
a(a(x,y,z),z,u) = a(z,a(x,y,z),u).
a(x,a(x,y,z),1 \ (x * (u \ (x \ a(x,y,z))))) = a(u,x,a(x,y,z)).
a(x,a(x,y,z),x * (u \ (x \ a(x,y,z)))) = a(u,x,a(x,y,z)).
a(x,a(x,y,z),u \ (x \ a(x,y,z))) = a(u,x,a(x,y,z)).
a(a(x,y,z) \ u,a(x,y,z),x) = a(u,x,a(x,y,z)).
a(a(x,y,z) \ u,x,a(x,y,z)) = a(u,x,a(x,y,z)).
a(a(x,y,z),x,u \ a(x,y,z)) = a(u,x,a(x,y,z)).
a(x,a(x,y,z),u \ a(x,y,z)) = a(u,x,a(x,y,z)).
a(x,a(x,y,z),u \ a(x,y,z)) = a(x \ u,x,a(x,y,z)).
a(x \ y,x,a(x,z,u)) = a(y,x,a(x,z,u)).
(x \ y) * a(y,x,a(x,z,u)) = L(x \ y,x,a(x,z,u)).
L(x / (x * y),z,u) \ (x / y) = L(x \ (x / y),z,u) \ (y \ x).
L(x \ (x / (x \ y)),z,u) \ ((x \ y) \ x) = L(x / y,z,u) \ (x / (x \ y)).
L(x \ (x / (x \ y)),z,u) \ ((x \ y) \ x) = L(x / y,z,u) \ (x * (y \ x)).
L(x \ (x / (x \ y)),z,u) \ ((x \ y) \ x) = x * (y \ (L(x / y,z,u) \ x)).
L(x \ (x * (y \ x)),z,u) \ ((x \ y) \ x) = x * (y \ (L(x / y,z,u) \ x)).
L(x \ y,z,u) \ ((y \ x) \ y) = y * (x \ (L(y / x,z,u) \ y)).
L(x \ y,z,u) \ ((x \ y) * y) = y * (x \ (L(y / x,z,u) \ y)).
(x \ y) * (L(x \ y,z,u) \ y) = y * (x \ (L(y / x,z,u) \ y)).
R(L(x \ y,z,u) / (x \ y),x \ y,L(x \ y,z,u) \ y) \ y = y * (x \ (L(y / x,z,u) \ y)).
(L(x * L(x \ 1,y,z),u,w) \ 1) * L(x,u,w) = R(L(x,u,w),y \ 1,z \ 1).
x \ (L(y,z,u) * (y \ x)) = u * (a(L(y \ 1,y,x),z,u) \ (u \ 1)).
(L(x * L(x \ 1,y,z),u,w) \ 1) * L(x,u,w) = L(R(x,y \ 1,z \ 1),u,w).
a(x,y * a(y,z,u),a(y,z,u)) * ((y * a(y,z,u)) * x) = (a(y,z,u) \ 1) \ (y * x).
(x * a(x,y,z)) * L(u,x * a(x,y,z),a(x,y,z)) = (a(x,y,z) \ 1) \ (x * u).
T((x * (y * (a(z,u,y) \ (y \ 1)))) / (x * z),w) = (x * (z * L(T(z \ 1,w),u,y))) / (x * z).
T((x * (y * (a(z,u,y) \ (y \ 1)))) / (x * z),w) = L((x * (z * T(z \ 1,w))) / (x * z),u,y).
T((x * (y * (a(z,u,y) \ (y \ 1)))) / (x * z),w) = L((x * K(w,z)) / (x * z),u,y).
T((x * (y * (a(z,u,y) \ (y \ 1)))) / (x * z),w) = L(x / ((x * z) * K(z,w)),u,y).
T((x * (y * (a(z,u,y) \ (y \ 1)))) / (x * z),w) = L(x / (x * T(z,w)),u,y).
T((x * (y * (a(z,u,y) \ (y \ 1)))) / (x * z),w) = L(T(x / (x * z),w),u,y).
T((x * (a(y,z,u) \ 1)) / (x * y),w) = L(T(x / (x * y),w),z,u).
1 * (((a(x,y,z) \ 1) \ u) * x) = (a(x,y,z) \ 1) \ (u * x).
(a(x,y,z) \ 1) \ (u * x) = ((a(x,y,z) \ 1) \ u) * x.
T(((a(x,y,z) \ 1) \ u) * x,x \ 1) = (a(x,y,z) \ 1) \ (x * u).
(a(x,y,z) \ 1) \ (x * u) = x * ((a(x,y,z) \ 1) \ u).
(x * a(x,y,z)) * L(u,x * a(x,y,z),a(x,y,z)) = x * ((a(x,y,z) \ 1) \ u).
x \ ((y \ a(z,y,y)) * (z * ((y \ z) \ x))) = (y \ a(z,y,y)) * L(L(y,y,z),z,z \ x).
x \ ((y \ a(z,y,y)) * (z * ((y \ z) \ x))) = z \ ((z / y) * L(y,z,z \ x)).
x \ (a(x \ y,x,z) \ x) = y \ ((z \ a(x,z,z)) * (x * ((z \ x) \ y))).
(x * R(x \ y,x,z)) \ y = x \ (a(x \ y,x,z) \ x).
R((x \ y) \ L(x \ y,z,u),x \ y,L(x \ y,z,u) \ y) \ y = y * (x \ (L(y / x,z,u) \ y)).
L((x \ y) \ L(x \ y,z,u),x \ y,L(x \ y,z,u) \ y) \ y = y * (x \ (L(y / x,z,u) \ y)).
L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),x,x \ y).
L((x \ 1) * L((x \ 1) \ 1,y,z),x,x \ u) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,u).
L((x \ 1) * L((x \ 1) \ 1,y,z),x,x \ u) = L((x \ 1) * L(x,y,z),x,u).
L((x \ 1) * L((x \ 1) \ 1,y,z),x,x \ u) = L(x \ L(x,y,z),x,u).
L((x \ 1) * L(x,y,z),x,x \ u) = L(x \ L(x,y,z),x,u).
L(x \ L(x,y,z),x,x \ u) = L(x \ L(x,y,z),x,u).
L(x \ L(x,y,z),x,(x * (x \ L(x,y,z))) \ u) = L(x \ L(x,y,z),x,u).
L(x \ L(x,y,z),x,L(x,y,z) \ u) = L(x \ L(x,y,z),x,u).
L((x \ y) \ L(x \ y,z,u),x \ y,y) \ y = y * (x \ (L(y / x,z,u) \ y)).
x * L(x \ 1,y,y \ (T(z,u) \ (x * y))) = y \ (a(z,y,x) \ y).
x * L(x \ 1,y,y \ (z \ (x * y))) = y \ (a(z,y,x) \ y).
a(x,y,y \ (z \ (x * y))) \ 1 = y \ (a(z,y,x) \ y).
x \ (a(y,x,z) \ x) = a(y,x,z) \ 1.
(x * R(x \ y,x,z)) \ y = a(x \ y,x,z) \ 1.
(a(x,y,z) \ 1) \ (y * z) = (y * z) * a(x,y,z).
x / (y * R(y \ x,y,z)) = a(y \ x,y,z) \ 1.
(x * ((y * z) * a(x,y,z))) \ (y * z) = (y * z) \ (z * (y * ((z * y) \ (x \ (y * z))))).
x / (y * L(y \ x,y,z)) = a(y \ x,y,z) \ 1.
x \ (L(y / x,x,z) \ y) = a(x \ y,x,z) \ 1.
a(x \ y,x,z) \ 1 = a(z,x,x \ y).
(x * y) \ (y * (x * ((y * x) \ (z \ (x * y))))) = ((z * x) * y) \ (x * y).
(x * y) * (((z * x) * y) \ (x * y)) = y * (x * ((y * x) \ (z \ (x * y)))).
x * (y * ((x * y) \ (z \ (y * x)))) = y * ((z * y) \ (y * x)).
x * (y * ((x * y) \ (y * z))) = y * L(z,y,x).
x * L(x \ y,z,x) = L(y,z,x).
x * L(x \ y,x,z) = z * (x * ((z * x) \ y)).
L(x * y,z,y) = L(x,z,y) * y.
L(x * y,z,x) = x * L(y,z,x).
L(x / y,z,y) = L(x,z,y) / y.
(x / y) * L((x / y) \ z,u,y) = x * L(x \ z,u,y).
L((x \ 1) * y,x,y) = x \ y.
x \ L(x * y,x,y) = x \ ((x * x) * (x \ y)).
(x / (y * ((y \ 1) * (y \ x)))) * y = x / (y \ (y \ x)).
x * ((y * ((x * y) \ z)) * K(y * L(y \ z,y,x),u)) = T(x * (y * ((x * y) \ z)),u).
x * (y * ((x * y) \ T(z,x))) = y * ((x * y) \ (z * x)).
(x \ y) * L((x \ y) \ z,u,x) = y * L(y \ z,u,x).
a(x,y,z) * (u * ((a(x,y,z) * u) \ w)) = u * ((a(x,y,z) * u) \ (w * a(x,y,z))).
x \ ((y * L(y \ x,z,x)) * u) = (y * u) * L((y * u) \ u,z,x).
x * ((y * ((x * y) \ z)) * K(z,u)) = T(x * (y * ((x * y) \ z)),u).
x * (y * (((x * y) \ z) * K(z,u))) = T(x * (y * ((x * y) \ z)),u).
T(x * (y * ((x * y) \ z)),u) = x * (y * ((x * y) \ T(z,u))).
T(x * (y * ((x * y) \ z)),x) = y * ((x * y) \ (z * x)).
(x * ((y * x) \ z)) * y = x * ((y * x) \ (z * y)).
(x * ((a(y,z,u) * x) \ (w * a(y,z,u)))) \ w = a(a(y,z,u),x,x \ w).
L(((x \ y) \ 1) * L(((x \ y) \ 1) \ 1,z,u),x \ y,y) = (y \ x) * L((y \ x) \ 1,z,u).
L(((x \ y) \ 1) * L(((x \ y) \ 1) \ 1,z,u),x \ y,y) = y \ (x * L(x \ y,z,u)).
L(((x \ y) \ 1) * L(x \ y,z,u),x \ y,y) = y \ (x * L(x \ y,z,u)).
L((x \ y) \ L(x \ y,z,u),x \ y,y) = y \ (x * L(x \ y,z,u)).
L((x \ y) \ L(x \ y,z,u),x \ y,y) = a(y \ x,z,u) \ 1.
x * (y \ (L(x / y,z,u) \ x)) = (a(x \ y,z,u) \ 1) \ x.
x \ (L(y / x,z,u) \ y) = y \ ((a(y \ x,z,u) \ 1) \ y).
K(L(x,y,z) \ 1,u) / (L(x,y,z) * T(L(L(x,y,z) \ 1,w,v5),u)) = L(x * L(x \ 1,w,v5),y,z) \ 1.
K(x,L(y,z,u)) / (L(y,z,u) * T(L(L(y,z,u) \ 1,w,v5),x)) = L(y * L(y \ 1,w,v5),z,u) \ 1.
K(x,y) / (L(y,z,u) * T(L(L(y,z,u) \ 1,w,v5),x)) = L(y * L(y \ 1,w,v5),z,u) \ 1.
K(x,y) / (L(y,z,u) * L(T(L(y,z,u) \ 1,x),w,v5)) = L(y * L(y \ 1,w,v5),z,u) \ 1.
K(x,y) / (a(L(y,z,u),w,v5) \ K(x,L(y,z,u))) = L(y * L(y \ 1,w,v5),z,u) \ 1.
K(x,y) / (a(L(y,z,u),w,v5) \ K(x,y)) = L(y * L(y \ 1,w,v5),z,u) \ 1.
L(x * L(x \ 1,y,z),u,w) \ 1 = a(L(x,u,w),y,z).
L(a(x,y,z) \ 1,u,w) \ 1 = a(L(x,u,w),y,z).
a(L(x,y,z),u,w) * L(x,y,z) = L(R(x,u \ 1,w \ 1),y,z).
L(a(x,y,z) \ 1,u,w) = a(L(x,u,w),y,z) \ 1.
R(a(x,y,z),u \ 1,w \ 1) = a(L(x,u,w),y,z).
a(L(x,y,z),u,w) = a(x,u,L(w,y,z)).
x * (a(L(y,z,u),w,x) \ (x \ 1)) = L(a(y,w,x) \ 1,z,u).
L(a(x \ 1,y,z) \ 1,x,y) = a(z,y,x) \ 1.
x * (L(x,y,z) * (x \ a(L(x,y,z),u,w))) = L(a(x,u,w) \ 1,y,z) \ L(x,y,z).
(x * (y * z)) \ ((x * y) * (L(a(z,u,w) \ 1,y,x) \ L(z,y,x))) = L(a(L(z,y,x),u,w),L(z,y,x),x * y).
a(x,L(x,y,z),u) = a(x,x,L(u,y,z)).
a(x \ 1,y,L(z,u \ 1,w \ 1)) = a(L(x,u,w) \ 1,y,z).
a(L(x \ 1,x,y),z,L(u,y * x,w)) = a((w * (y * x)) \ (w * y),z,u).
a(L(x,y,z),u,a(w,v5,v6)) = a(x,u,a(w,v5,L(v6,y,z))).
a(L(x,x,L(y,z,u)),w,v5) = a(x,w,L(v5,L(x,z,u),y)).
a(L(x,y,z),L(x,u,w),v5) = a(x,x,L(L(v5,y,z),u,w)).
x * (a(y,z,x) \ 1) = L(x,z,x * y).
(a(x,y,z) \ 1) * z = L(z,y,z * x).
L(x,y,x * (z \ 1)) = L(x,y \ 1,z).
L(x,a(y,z,x),a(y,z,x) \ 1) = L(x,z,x * y) * a(y,z,x).
L(x,y,x * (x \ z)) = z * L(z \ x,y,x).
x * L(x \ y,z,y) = L(y,z,x).
x \ L(x * y,z,y) = L(y,z,x \ 1).
x * L(y,z,x * y) = L(x * y,z,x).
a(x \ y,z,x) \ 1 = x \ L(x,z,y).
x \ (L(x,y,z) * u) = (z * u) * L((z * u) \ u,y,x).
x \ ((x * x) * (x \ y)) = L(y,x,x \ 1).
L(x,y,z * x) = L(x,y,z).
L(x,y,x * z) = L(x,y,z).
L(x,y,L(z \ 1,z,x)) = L(x,y,z \ x).
L(x,y \ 1,z) = L(x,y,z \ 1).
L(x,y,x \ z) = L(x,y,z).
a(L(x,y,x * z),u,w) = a(x,u,L(w,y,z)).
L(L(x,y,z),u,x \ w) = L(L(x,u,w),y,z).
a(x \ y,z,L(x,z,y)) = a(x \ y,z,x).
x * L(x \ y,z \ 1,y) = L(y,z,x \ 1).
L(x,y,L(z \ 1,u,(w \ 1) \ 1)) = L(x,y,L(z,u,w) \ 1).
a(x \ y,z,x) = x / L(x,z,y).
a(x \ y,z,x) != x / u | L(x,z,y) = u.
x * L(y,x,x \ 1) = (x * x) * (x \ y).
a(x \ y,z,L(x,z,y)) = x / L(x,z,y).
x * (x * ((x \ 1) * y)) = (x * x) * (x \ y).
a(x,y,L(z,u,x * w)) = a(x,y,L(z,u,w)).
x * L(x \ y,z,y \ 1) = L(y,z,x \ 1).
L((x \ 1) * y,x,x) = x \ y.
L((x \ 1) * (x * y),x,x) = y.
((x \ 1) * y) \ L((x \ 1) * y,x,x) = (x \ y) / ((x \ 1) * y).
L(L(x,y,y \ 1),y,y) = x.
L(L(x,y,y),y,y \ 1) = x.
a(x,y,L(z,u \ 1,w \ 1)) = a(L(x,u,w),y,z).
a(L(x,y,z),u,w \ 1) = a(x,u,L(w,y,z) \ 1).
a(x,y,L(z \ 1,u,w)) = a(x,y,L(z,u,w) \ 1).
a(x,y,L(z,L(x,u,w),v5)) = a(x,y,L(z,x,L(v5,u,w))).
a(x,x,L(L(a(y,z,u),w,v5),v6,v7)) * a(y,z,u) = a(y,z,L(u,L(x,v6,v7),L(x,w,v5) \ 1)).
L(x,y,z) * (x \ u) = (z * u) * L((z * u) \ u,y,x).
(a(x,y,z) \ a(x,y,L(z,x,L(u,w,v5)))) * 1 = a(a(x,y,z),L(x,w,v5),u).
L(x,y,z) * (x \ u) = (z * u) * L(u \ (z \ u),y,x).
L(a(x \ 1,y,z) \ 1,x,u) = u \ (L(x,y,z) * (x \ u)).
a(x \ 1,y,L(z,u,(w \ 1) \ 1)) = a(L(x,u,w) \ 1,y,z).
L(x,y,L(z \ 1,u,w)) = L(x,y,L(z,u,w) \ 1).
a(L(x,y,z) \ 1,u,w) = a(x \ 1,u,L(w,y,z)).
x * (L(L(y,z,u) \ y,w,v5) \ 1) = x * (a(y \ 1,z,L(u,w,v5)) \ 1).
a(x,y,L(z,u,w)) * L(x,u,w) = L(R(x,y \ 1,z \ 1),u,w).
L(x,y,x * z) * a(z,y,x) = x.
L(x,y,x * z) = a(z,y,x) \ x.
L(x,y,z) * a(z,y,x) = x.
a(x,y,z) = L(z,y,x) \ z.
a(x * y,z,x) = a(y,z,x).
L(x,y,z) \ x != u | a(z,y,x) = u.
a(x \ 1,y,z) = a(z,y,x).
a(x \ y,z,x) = a(y,z,x).
a(x,y,z \ 1) = a(z,y,x).
(L(x,y,z) \ 1) * (T(x,L(x,y,z) \ 1) * u) = (a(u,x,L(x,y,z)) \ (L(x,y,z) \ x)) * u.
a(x \ y,z,L(x,u,w)) = L(a(y,z,x),u,w).
a(x,y \ 1,L(y \ 1,z,u)) = a(y,L(y \ 1,z,u),x).
a(x \ 1,y,z) = a(x,y,z \ 1).
a(x,y,L(z \ 1,u,w)) = a(z,y,L(x,u,w)).
a(x,y \ 1,z) = a(x,y,z \ 1).
L(x,y,x * L(z,u,w)) = a(z,y,L(x,u,w)) \ x.
a(x,y \ 1,z) = a(z,y,x).
a(x,a(x,y,z) \ 1,u) = a(u,x,a(x,y,z)).
a(x,L(x,y,z) \ 1,u) = a(u,x,L(x,y,z)).
a(x \ 1,y,z) != u | a(z,y,x) = u.
a(x,y,z \ 1) != u | a(z,y,x) = u.
a(x,y \ 1,z) != u | a(z,y,x) = u.
a(x \ y,z,L(x,u,w)) = a(y,z,L(x,u,w)).
a(x,y \ 1,L(z \ 1,u,w)) = a(L(x,u,w),y,z).
a(x,y,L(L(z,u,w) \ 1,v5,v6)) = a(z,y,L(L(x,v5,v6),u,w)).
a(x,y,L(z,x,y)) = a(x,y,z).
a(x,y,L(z,x,u)) = a(z,y,u \ (x \ u)).
a(x,y,x * z) = a(x,y,z).
a(x,y,L(x \ z,u,w)) = a(x,y,L(z,u,w)).
a(x,y,z / x) = a(x,y,z).
a(x,y,x \ z) = a(x,y,z).
(x / y) \ L(x / y,z,y \ 1) = a(y,z \ 1,x) \ 1.
(a(x,y,L(y,z,u)) \ (L(y,z,u) \ y)) * x = y * ((L(y,z,u) \ 1) * x).
a(L(x,y,z) \ u,w,L(x,y,z)) = a(x \ u,w,L(x,y,z)).
a(x \ y,z,u \ (x \ u)) = a(x,z,L(y,x,u)).
a(x \ (y \ x),z,y \ u) = a(y,z \ 1,L(u,y,x)).
a(x,y \ 1,L(z \ 1,u,w)) = a(x,y,L(z,u,w)).
a(x \ (y \ x),z,y \ u) = a(L(u,y,x),z,y).
a(x \ (y \ x),z,y \ u) = a(u,z,L(y,y,x)).
a(x,L(x \ 1,y,z),u) = a(u,x,L(x,y,z)).
((x \ y) * L(y \ (x \ y),z,u)) / (L(x \ 1,z,u) * (x \ y)) = a(x \ y,x,L(x,z,u)).
(x / y) \ (x * (y \ 1)) = a(y,y \ 1,x) \ 1.
(x / y) \ (x * (y \ 1)) = a(x,y,y \ 1).
(x / y) \ (x * (y \ 1)) = a(y,y,x).
(x / y) * a(y,y,x) = x * (y \ 1).
x * L(x \ 1,y \ (x \ y),y) = a(x,x,y).
a(x,x,y) * (x \ y) = y * (((x \ y) \ y) \ 1).
a(x,x,y) * (x \ y) = y * (T(x,y) \ 1).
a(x,x,y) * (x \ y) = y * T(x \ 1,y).
a(x,x,y) * (x \ y) = (x \ 1) * y.
(x \ 1) * a(y,z,L(u,x,x)) = x \ a(y,z,u).
((x \ 1) / y) * a(z,u,L(w,(y \ 1) \ x,(y \ 1) \ x)) = ((y \ 1) \ x) \ a(z,u,w).
a(L(x,y,z) \ z,y,L(x,y,z)) = x / L(x,y,z).
L(x,y,z) / L(L(x,y,z),y,z) = x / L(x,y,z).
L(x,y,z) * (x \ L(x,y,z)) = L(L(x,y,z),y,z).
L(x,y,z) * L(x,y,z) = x * L(L(x,y,z),y,z).
(x \ y) / ((x \ 1) * y) = ((x \ 1) * y) \ (x \ y).
(x \ y) / ((x \ 1) * y) = a(y,x,x).
L(x,y,z) * a(x,u,L(w,y,z)) = L(R(x,u \ 1,w \ 1),y,z).
a((x * (y * z)) \ (x * y),u,w) = a(z \ 1,u,L(L(w,y * z,x),z,y)).
x * (L(L(x,y,z) \ x,u,w) \ 1) = L(x,y,L(z,u,w)).
x * (L(L(x,y \ 1,z) \ x,u,w) \ 1) = L(x,y,L(z,u,w) \ 1).
(L(x,y,z) \ x) * L(L(x,u,w),y,z) = L(x,u,L(w,y,z)).
L(x,y,L(L(z,x,y),u,w)) = x * (L(L(x,y,x * z) \ x,u,w) \ 1).
L(x,y,L(z,u,x)) = x * ((L(x,y,z) \ x) \ 1).
L(x,y,L(z,u,x)) = x * (x \ L(x,y,z)).
L(x,y,L(z,u,x)) = L(x,y,z).
L(x,y,z \ 1) = L(x,y,z \ x).
L(x,x,y \ x) = y \ (y / (x \ 1)).
a(x,y,z) * L(L(z,u,w),y,x) = L(z,u,L(w,y,x)).
(L(x,y,z) \ a(u,w,x)) * L(L(x,y,z),w,u) = L(x,y,z) \ L(x,y,L(z,w,u)).
L(x,y,L(L(z,x,y),u,w)) = L(x,y,L(x * z,u,w)).
L(x,y,L(x * z,u,w)) = L(x,y,x * L(z,u,w)).
L(x,y,L(x * z,u,w)) = a(z,y,L(x,u,w)) \ x.
a((x * (y * z)) \ (x * y),u,w) = a(z,u,L(L(w,y * z,x),z,y) \ 1).
a((x * (y * z)) \ (x * y),u,w) = a(z,u,L(L(w,y * z,x) \ 1,z,y)).
a((x * (y * z)) \ (x * y),u,w) = a(w,u,L(L(z,z,y),y * z,x)).
a(a(x,y,z),x,L(u,w,v5)) * 1 = a(a(x,y,z),L(x,w,v5),u).
a(x,a(x,y,z),L(u,w,v5)) * 1 = a(a(x,y,z),L(x,w,v5),u).
a(a(x,y,z),L(x,u,w),v5) = a(x,a(x,y,z),L(v5,u,w)).
(a(x,a(x,y,z),L(u,w,v5)) \ L(x,w,v5)) * u = L(x,w,v5) * L(u,L(x,w,v5),a(x,y,z)).
x * (L(x,y,z) * (x \ a(x,u,L(w,y,z)))) = L(a(x,u,w) \ 1,y,z) \ L(x,y,z).
L(a(x,y,z) \ 1,u,w) \ L(x,u,w) = L(x,u,w) * a(x,y,L(z,u,w)).
((x \ y) * L(y \ (x \ y),z,u)) / (L(x \ 1,z,u) * (x \ y)) = a(y,x,L(x,z,u)).
(L(x,y,z) * a(L(u,y,z),x,a(x,w,v5))) * u = L(x,y,z) * L(u,L(x,y,z),a(x,w,v5)).
(L(x,y,z) * a(u,x,a(x,w,L(v5,y,z)))) * u = L(x,y,z) * L(u,L(x,y,z),a(x,w,v5)).
(L(x,y,z) * u) * a(u,x,a(x,w,L(v5,y,z))) = L(x,y,z) * L(u,L(x,y,z),a(x,w,v5)).
L(x,L(y,z,u),a(y,w,v5)) = L(x,y,a(y,w,L(v5,z,u))).
x * L(y,L(z,u,w),a(z,v5,v6)) = x * L(y,z,a(z,v5,L(v6,u,w))).
a(x,x,L(a(y,z,L(u,w,v5)),v6,v7)) * a(y,z,u) = a(y,z,L(u,L(x,v6,v7),L(x,w,v5) \ 1)).
(a(x,y,L(y,z,u)) \ (L(y,z,u) \ y)) * x = (L(y,z,u) \ 1) * (T(y,y \ 1) * x).
(a(x,y,L(y,z,u)) \ (L(y,z,u) \ y)) * x = (L(y,z,u) \ 1) * (T(y,1) * x).
(a(x,y,L(y,z,u)) \ (L(y,z,u) \ y)) * x = (L(y,z,u) \ 1) * (y * x).
(L(x,y,z) \ 1) * (x * u) = x * ((L(x,y,z) \ 1) * u).
a(x,x,a(y,z,L(L(u,w,v5),v6,v7))) * a(y,z,u) = a(y,z,L(u,L(x,v6,v7),L(x,w,v5) \ 1)).
(x * (y * z)) \ ((x * y) * (L(z,y,x) * a(z,u,L(w,y,x)))) = L(a(L(z,y,x),u,w),L(z,y,x),x * y).
(x * (y * z)) \ ((x * y) * L(R(z,u \ 1,w \ 1),y,x)) = L(a(L(z,y,x),u,w),L(z,y,x),x * y).
L(a(L(x,y,z),u,w),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * R(x,u \ 1,w \ 1))).
L(a(L(x,y,z),u,w),L(x,y,z),z * y) = a(w \ 1,u \ 1,(z * (y * x)) \ (z * y)).
L(a(L(x,y,z),u,w),L(x,y,z),z * y) = a(((z * (y * x)) \ (z * y)) \ 1,u,w).
L(a(x,y,L(z,u,w)),L(x,u,w),w * u) = a(((w * (u * x)) \ (w * u)) \ 1,y,z).
a(x,y,L(L(z,u,w),L(x,u,w),w * u)) = a(((w * (u * x)) \ (w * u)) \ 1,y,z).
a(x,y,L(L(z,u,w),x,L(w * u,u,w))) = a(((w * (u * x)) \ (w * u)) \ 1,y,z).
a(x,y,L(L(z,u,w),x,L(w * u,u,w))) != v5 | a(z,y,(w * (u * x)) \ (w * u)) = v5.
T(x \ (y \ x),z) * L(T((x \ (y \ x)) \ 1,z),x,x \ (u \ (T(y,z) \ x))) = u * L(u \ 1,x,T(x \ (y \ x),z)).
T(x \ (y \ x),z) * L(T((x \ (y \ x)) \ 1,z),x,x \ (u \ (y \ x))) = u * L(u \ 1,x,T(x \ (y \ x),z)).
(x \ (y \ x)) * L((x \ (y \ x)) \ 1,x,x \ (z \ (y \ x))) = z * L(z \ 1,x,T(x \ (y \ x),u)).
x \ ((y \ x) * L((y \ x) \ x,x,x \ (z \ (y \ x)))) = z * L(z \ 1,x,T(x \ (y \ x),u)).
x \ (L(y,x,x \ (z \ (y \ x))) * (y \ x)) = z * L(z \ 1,x,T(x \ (y \ x),u)).
x \ (a(x \ (y \ (z \ x)),x,z) \ x) = y * L(y \ 1,x,T(x \ (z \ x),u)).
x \ (a(x \ (y \ (z \ x)),x,z) \ x) = y * L(y \ 1,x,x \ (z \ x)).
a(x \ (y \ (z \ x)),x,z) \ 1 = y * L(y \ 1,x,x \ (z \ x)).
a(x \ (y \ (z \ x)),x,z) \ 1 = a(y,x,x \ (z \ x)) \ 1.
a(x \ (y \ (z \ x)),x,z) \ 1 = a(z,x,y) \ 1.
a(x,y,y \ (z \ (x \ y))) = a(x,y,z) \ 1.
a(x,y,z) \ 1 = a(z,y,x).
a(x,y,z) * a(z,y,x) = 1.
a(x,y,x \ z) = x \ L(x,y,z).
(x \ (a(y,z,u) \ a(u,z,y))) \ (a(y,z,u) \ 1) = (x \ 1) \ a(y,z,u).
L(x,y,z) = x * a(z,y,x \ 1).
L(x,y,z) * (x \ L(x,u,w)) = a(z,y,x \ 1) * L(x,u,w).
x * ((x \ (a(x,y,z) \ u)) * a(z,y,x)) = a(z,y,x) * (u / (a(z,y,x) \ 1)).
(x * y) * L(y \ (x \ y),z,u) = y * a(u,z,x).
a(x,y,z) * (z \ u) = u * L(u \ (z \ u),y,x).
a(a(x,y,z),u,w) = a(w,u,a(z,y,x)).
R(R(x,y \ 1,z \ 1),a(z,y,x),x \ u) \ u = u * L(u \ (x \ u),y,z).
T((x * a(y,z,u)) / (x * u),w) = L(T(x / (x * u),w),z,y).
(x * a(x,y,z)) * L(u,x * a(x,y,z),a(x,y,z)) = x * (a(z,y,x) \ u).
x \ (L(y / x,z,u) \ y) = y \ (a(u,z,y \ x) \ y).
L(x,y,x * z) = x * a(x,y,z).
x \ (L(y,z,u) * (y \ x)) = L(a(u,z,y \ 1),y,x).
a(a(x,y,z),u,w) != v5 | a(w,u,a(z,y,x)) = v5.
a(x,a(y,z,x),u) = a(u,x,a(x,z,y)).
a(x,y,z) = x \ L(x,y,z).
a(x \ 1,y,z) * a(x,u,x \ w) = (L(x,y,z) \ 1) * L(x,u,w).
L(x,y,z) = x * a(x,y,z).
L(x,y,a(y,z,u)) * L(y,z,u) = a(y,z,u) * (x * y).
R(x,y,z) = L(x,y,z).
L(x,y,z) * (y * z) = (x * y) * z.
(x * (y * z)) * L(L(z,(y * z) \ 1,x \ 1),z,y) = (x * y) * (L(z,y,x) * L(z,y,x)).
a(x,a(x,y,z),u) \ (x \ (L(x,y,x * z) * u)) = a(x,y,z) * u.
a(a(x,y,z),u,w) * v5 = v5 * a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) * (x \ v5) = L(x,y,a(w,u,z)) \ v5.
(x \ y) * a(x,z,a(u,w,v5)) = L(x,z,a(v5,w,u)) \ y.
a(a(x,y,(z \ (u \ z)) \ 1),w,v5) = a(v5,w,a(L(u,u,z),y,x)).
a(x,y,z) * a(u,w,a(z,y,x)) = a(x,y,L(z,w,u)).
L(x,y,z) * (x \ u) = u * a(x,y,z).
x * (y * a(x,z,u)) = L(x,z,u) * y.
T(x * a(y,z,u),T(K(w,x) * y,x)) = (y \ x) * L(y,z,u).
x * (a(x,y,z) * u) = L(x,y,z) * u.
(x \ 1) * (a(y,z,x) * u) = L(x \ 1,z,y) * u.
x * a(y,z,u \ L(u,w,v5)) = a(a(v5,w,u),z,y) * x.
L(x \ 1,y,z) * u != (x \ 1) * w | a(z,y,x) * u = w.
x \ (L(y,z,u) * (y \ x)) = a(u,z,L(y \ 1,y,x)).
a(x \ (y \ x),z,y \ u) * a(w,v5,a(y,z,L(u,y,x))) = a(x \ (y \ x),z,L(y \ u,v5,w)).
x \ (L(y,z,u) * (y \ x)) = a(y,z,L(u,y,x)).
a(x,y,L(z,x,u)) = u \ (u * a(x,y,z)).
a(x,y,L(z,x,u)) = a(x,y,z).
a(x,y,(z * (u * w)) \ (z * u)) = a(w,y,L(x,u,z)).
a(x,y,z \ (u \ z)) = a(u,y,x).
a(x,y,a(y,z,u)) = 1.
a(x,y,a(y,z,u)) = w \ w.
a(x,a(y,z,x),u) = 1.
x * a(y,z,a(z,u,w)) = x.
x * a(y,z,a(z,u,w)) != v5 | x = v5.
x * a(y,a(z,u,y),w) = x.
L(x,y,a(y,z,u)) = x.
L(x,a(x,y,z),u) = x.
L(x,a(y,z,x),u) = x.
L(x * y,a(y,z,u),x) = x * y.
a(x / (x * y),z,L(u,x,w)) = a(u,z,((y \ x) * w) \ (w * x)).
a(x,y,z) * (u * x) = u * L(x,y,z).
(x / y) * L(y,z,u) = a(y,z,u) * x.
a(x,y,z \ (u \ z)) * (w * u) = w * L(u,y,x).
(a(L(x,y,z),u,w) * (z * T(y,v5))) \ (z * (T(y,v5) * L(x,u,w))) = L(x,y,z).
L(x / y,z,y) * L(y,u,w) = a(y,u,w) * L(x,z,y).
(x * y) \ (a(z,u,w \ (y \ w)) \ (x * y)) = (x * L(y,u,z)) \ (x * y).
x \ y != a(z,u,a(w,v5,v6)) * (z \ y) | L(z,u,a(v6,v5,w)) = x.
a(a(x,y,z),u,L(w,a(x,y,z),v5)) * v6 = v6 * a(w,u,z \ L(z,y,x)).
a(x,y,z \ 1) * L(z,u,w) = L(z,y,x) * a(z,u,w).
a(x,y,z) * L(x,u,w) = L(x,y,z) * a(x,u,w).
(x * a(y,z,u)) / (x * u) = L(x / (x * u),z,y).
T(a(x,y,z) * u,K(w,u) * x) = (x \ u) * L(x,y,z).
T(a(x,y,z) * u,x) = (x \ u) * L(x,y,z).
a(a(x,y,(z \ (u \ z)) \ 1),w,v5) = a(v5,w,a(u,y,L(x,u,z))).
a((x * y) \ x,z,L(u,x,w)) = a(u,z,((y \ x) * w) \ (w * x)).
a(a(x,y,(z \ (u \ z)) \ 1),w,v5) = a(v5,w,a(u,y,x)).
a(x,y,L(z,z,u)) * a(w,v5,a(z,y,x)) = a(x,y,L(L(z,z,u),v5,w)).
a(x \ (x / y),z,L(u,x,w)) = a(u,z,((y \ x) * w) \ (w * x)).
a(x \ (y \ x),z,L(u,x,w)) = a(u,z,((y \ x) * w) \ (w * x)).
a(x \ 1,y,z) * a(x,u,x \ w) = L(x,y,z) \ L(x,u,w).
a(x,y,z) * a(z,u,z \ w) = L(z,y,x) \ L(z,u,w).
L(x,y,z) \ L(x,u,w) = a(z,y,x) * a(x,u,w).
(L(x,y,z) \ a(u,w,x)) * L(L(x,y,z),w,u) = a(z,y,x) * a(x,y,L(z,w,u)).
a(x,a(x,y,z),u) \ (L(x,y,x * z) * (x \ u)) = a(x,y,z) * u.
L(x,y,x * z) * (a(x,a(x,y,z),u) \ (x \ u)) = a(x,y,z) * u.
L(x,y,x * z) * ((x \ u) * a(u,x,a(x,y,z))) = a(x,y,z) * u.
L(x,y,x * z) * L(x \ u,x,a(x,y,z)) = a(x,y,z) * u.
(x \ (a(y,z,u) \ a(u,z,y))) \ a(u,z,y) = (x \ 1) \ a(y,z,u).
L(x,y,x * z) * L(u,x * a(x,y,z),a(x,y,z)) = x * (a(z,y,x) \ u).
L(x,y,x * z) * L(u,L(x,y,x * z),a(x,y,z)) = x * (a(z,y,x) \ u).
L(x,y,x * z) * L(u,x,a(x,y,L(z,y,x * z))) = x * (a(z,y,x) \ u).
L(x,y,x * z) * L(u,x,a(x,y,L(z,y,z))) = x * (a(z,y,x) \ u).
L(x,y,x * z) * L(u,x,a(x,y,z)) = x * (a(z,y,x) \ u).
x * (a(y,z,x) \ (x \ u)) = a(x,z,y) * u.
a(x,y,z) \ u = a(z,y,x) * u.
a(L(x,y,z),u,w) * (a(w,u,x) * v5) = v5 * a(z,y,a(w,u,x)).
a(x,y,z) * a(z,y,L(x,u,w)) = a(a(z,y,x),u,w).
(a(x,y,z) * u) * a(z,y,x) = u.
x / a(y,z,u) = a(u,z,y) * x.
a(x,y,z) * (a(z,y,x) * u) = u.
a(x,y,a(z,u,w)) * y = a(w,u,z) * (x \ (a(z,u,w) * (x * y))).
x \ (a(y,z,u) * (x * (a(u,z,y) * w))) = w * a(a(u,z,y),w,x).
T(x * (a(y,z,x) * z),K(u,x * z)) = (x * (z * y)) / y.
a(x,y,L(z,a(z,y,x) * u,w)) \ (w * T(u,v5)) = w * T(a(x,y,z) \ u,v5).
(x \ (a(y,z,u) * a(y,z,u))) \ a(y,z,u) = (x \ 1) \ a(u,z,y).
a(x,y,L(z,u,w)) * a(z,y,x) = a(w,u,a(z,y,x)).
x / (x * a(y,z,u)) = a(u,z,y).
a(x,y,z) * (u * L(z,y,x)) = u * z.
a(x,y,z) \ u != w | a(z,y,x) * u = w.
x \ (a(y,z,u) \ x) = a(u,z,y).
a(x \ (y \ x),z,u) = w / (w * a(y,z,u)).
x \ (L(y / x,z,u) \ y) = a(y \ x,z,u).
a(x \ (y \ x),z,u) = (w * L(y,z,u)) \ (w * y).
L(x * y,a(y,z,u),x) = a(w,v5,y) * (x * L(y,v5,w)).
x / a(y,z,u) != w | a(u,z,y) * x = w.
a(a(x,y,z),u,w) != v5 | a(z,y,x) * a(x,y,L(z,u,w)) = v5.
L(x,y,z \ x) = x * a(z,y,x).
a(x \ (y \ x),z,u) = a(u,z,y).
x * L(y,z,u \ y) = x * (a(u,z,y) * y).
a(x,y,((z \ u) * w) \ (w * u)) = a(L(x,u,w),y,z).
(x * y) \ ((x * (y * z)) / L(L(z,y,x),u,w)) = a((x * (y * z)) \ (x * y),u,w).
a(x,a(y,z,x),z) * (a(y,z,x) * (z * x)) = z * L(x,z,y \ x).
(x * L(y,z,u)) \ (x * y) = a(u,z,y).
a(x,y,L(x,z,u) \ w) * a(w,y,L(x,z,u)) = a(a(L(x,z,u) \ w,y,x),z,u).
a(x,y,x \ z) * a(x \ z,y,L(x,u,w)) = a(a(z,y,x),u,w).
a(x,y,((z \ u) * w) \ (w * u)) = a(x,y,L(z,u,w)).
a(x,y,(z * (u \ w)) \ (z * w)) = a(x,y,L(u,w,z)).
L(T(a(x,y,z),u * L(z,y,x)),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * L(u * z,a(z,v5,v6),u)).
(x * (y * z)) / z = x * (a(z,y,x) * y).
a(x,y,L(z,u,w)) * (a(z,y,x) * v5) = v5 * a(w,u,a(z,y,x)).
a(x,y,x \ z) * a(x \ z,y,(u * (x \ w)) \ (u * w)) = a(a(z,y,x),x \ w,u).
a(x,y,z) * (u \ (a(z,y,x) * (u * w))) != w * v5 | a(u,w,a(z,y,x)) = v5.
a(x,y,z) * (u \ (a(z,y,x) * (u * w))) != v5 | w * a(u,w,a(z,y,x)) = v5.
x \ (a(y,z,u) * (x * (a(u,z,y) * a(w,v5,a(v6,v7,v8))))) = a(w,v5,a(v6,v7,v8)) * 1.
a(x,y,z) * (u \ (a(z,y,x) * (u * (a(x,y,z) * (a(x,y,z) \ w))))) = w * a(a(x,y,z),a(x,y,z) \ w,u).
x \ (a(y,z,u) * (x * (a(u,z,y) * w))) = w * a(x,w,a(y,z,u)).
(x \ a(y,z,u)) \ 1 = (x \ 1) \ a(u,z,y).
1 * (a(x,y,z) * (y * z)) = y * L(z,y,x \ z).
a(x,y,z) * (y * z) = y * L(z,y,x \ z).
x \ ((x * y) * z) = y * L(z,y,x \ z).
x \ ((x * y) * z) = y * L(z,y,x \ 1).
x * (y \ (y / (x \ 1))) = y \ ((y * x) * x).
x * L(a(y,z,a(u,w,v5)) * v6,x,v6 \ 1) = T((v6 * x) * a(y,z,a(u,w,v5)),v6).
(x \ (x / (y \ 1))) * y = x \ ((x * y) * y).
x * ((x \ (a(y,z,x) * u)) * a(y,z,x)) = a(y,z,x) * (u / (a(y,z,x) \ 1)).
L(R(x,y \ 1,z \ 1),a(z,y,x),x \ u) \ u = u * L(u \ (x \ u),y,z).
(a(x,y,L(z,u,w)) * (w * T(u,v5))) \ (w * (T(u,v5) * L(x,y,z))) = L(x,u,w).
a(L(x,a(x,y,z) * u,w),y,z) * (w * T(u,v5)) = w * T(a(z,y,x) \ u,v5).
x * (((x \ y) * a(z,u,x)) * a(z,u,x)) = a(z,u,x) * (y / (a(z,u,x) \ 1)).
L(L(x,y \ 1,z \ 1),a(z,y,x),x \ u) \ u = u * L(u \ (x \ u),y,z).
a(x,y,L(z,a(x,y,z) * u,w)) * (w * T(u,v5)) = w * T(a(z,y,x) \ u,v5).
x * (a(y,z,x) * ((x \ u) * a(y,z,x))) = a(y,z,x) * (u / (a(y,z,x) \ 1)).
L(L(x,a(y,z,x),u),z \ 1,y \ 1) \ u = u * L(u \ (x \ u),z,y).
L(L(x,a(y,z,x),x \ u),z \ 1,y \ 1) \ (x \ u) = (x \ u) * L(u \ (x \ u),z,y).
a(x,y,L(z,a(x,y,z) * u,w)) * (w * T(u,v5)) = w * T(a(x,y,z) * u,v5).
x * (a(y,z,x) * ((x \ u) * a(y,z,x))) = a(y,z,x) * (u / a(x,z,y)).
x * (a(y,z,x) * ((x \ u) * a(y,z,x))) = a(y,z,x) * (a(y,z,x) * u).
(L(x,y,z) \ a(u,w,x)) * L(L(x,y,z),w,u) = a(a(x,y,z),w,u).
T(a(L(x,y,z),u,w) * a(w,u,x),L(x,y,z)) = a(a(x,y,z),u,w).
T(a(x,y,L(z,u,w)) * a(z,y,x),L(x,u,w)) = a(a(x,u,w),y,z).
T(a(x,y,a(z,u,w)),L(w,y,x)) = a(a(w,y,x),u,z).
a(a(x,y,z),u,w) = a(z,y,a(w,u,x)).
a(x,y,z) * a(z,y,L(x,u,w)) = a(x,y,a(w,u,z)).
a(x,y,a(z,u,w)) = a(z,u,a(x,y,w)).
(x * ((a(y,z,u) * x) \ (w * a(y,z,u)))) \ w = a(u,z,a(x \ w,x,y)).
(a(x,y,a(z,u,w)) * v5) \ v6 = a(w,u,a(x,y,z)) * (v5 \ v6).
L(a(x,y,a(z,u,w)) * u,z,a(w,y,x)) = L(u,a(w,y,x),z).
a(x,y,a(z,u,w)) * v5 = v5 * a(z,u,a(x,y,w)).
a(x,y,a(z,x,u)) = 1.
x * a(y,z,a(u,w,v5)) = x * a(u,w,a(y,z,v5)).
a(x,y,a(z,u,w)) * v5 != v6 | v5 * a(z,u,a(x,y,w)) = v6.
x * a(y,z,a(u,w,v5)) != v6 | a(u,w,a(y,z,v5)) * x = v6.
x * (a(y,z,a(u,w,v5)) * v6) != v7 | x * (v6 * a(u,w,a(y,z,v5))) = v7.
a(x,y,a(z,u,x \ w)) = a(z,u,a(x,y,w)).
x * a(y,z,a(u,w,v5)) != v6 | x * a(u,w,a(y,z,v5)) = v6.
T((a(x,y,a(z,u,w)) * a(v5,v6,v7)) * v8,a(x,y,a(z,u,w))) = v8 * (a(v5,v6,v7) * a(z,u,a(x,y,w))).
a(x,y,a(z,u,w)) * w = L(w,u,a(z,y,x)).
x * a(y,z,a(u,w,x)) = L(x,z,a(y,w,u)).
a(x,x,a(y,z,u)) = 1.
L(x,a(y,z,u),a(u,w,v5)) = x.
a(x,y,a(z,u,w)) = a(w,y,a(x,u,z)).
a(x,y,a(z,u,w)) * (v5 * w) = v5 * L(w,y,a(x,u,z)).
a(a(x,y,y),z,u) = 1.
a(a(x,y,y),z,u) = a(w,v5,v6) * a(v6,v5,w).
L(x,a(y,z,u),a(u,w,v5)) = a(v6,v7,v8) * (a(v8,v7,v6) * x).
x \ (a(y,z,u) * (x * (a(u,z,y) * w))) = w * a(u,w,a(x,z,y)).
a(x \ y,z,a(x \ u,x,w)) * (v5 * w) = v5 * L(w,z,a(u \ y,x,x \ u)).
L(x,a(y,z,u),a(u,w,v5)) = a(v6,v7,v8) * (x * a(v8,v7,v6)).
L(x,a(y,z,u),a(u,w,v5)) = (x * a(v6,v7,v8)) * a(v8,v7,v6).
(x * a(y,z,u)) \ L(L(x,a(w,v5,v6),a(v6,v7,v8)),v9,v10) = ((x * a(y,z,u)) \ 1) * L(((x * a(y,z,u)) \ 1) \ a(u,z,y),v9,v10).
a(L(x,y,z) \ u,x,x) = a(u,x,L(x,y,z)).
(x \ (L(x,y,z) \ u)) / ((x \ 1) * (L(x,y,z) \ u)) = a(u,x,L(x,y,z)).
(x \ (L(x,y,z) \ u)) / w != a(u,x,L(x,y,z)) | (x \ 1) * (L(x,y,z) \ u) = w.
x * L(a(y,z,a(u,w,v5)) * v6,x,v6 \ 1) = a(y,z,a(u,w,v5)) * (x * v6).
a(x,y,z) * a(x \ z,y,(u * (x \ w)) \ (u * w)) = a(a(z,y,x),x \ w,u).
a(x,y,z) * a(x \ z,y,(u * (x \ w)) \ (u * w)) = a(x,y,a(u,x \ w,z)).
a(x,y,z) * a(x \ z,y,L(x,u,w)) = a(x,y,a(w,x \ u,z)).
a(x,y,z) * a(z,y,L(x,u,w)) = a(x,y,a(w,x \ u,z)).
a(x,y,a(z,x \ u,w)) = a(x,y,a(z,u,w)).
a(x,y,a(z,z \ u,w)) = a(z,y,a(w,u,x)).
x \ (a(y,z,u) * (x * (a(u,z,y) * a(w,v5,a(v6,v7,v8))))) != v9 | a(w,v5,a(v6,v7,v8)) = v9.
(x * (y * z)) * L(L(z,(y * z) \ 1,x \ 1),z,y) = (x * y) * (z * L(L(z,y,x),y,x)).
L(L(x,a(y,z,x),u),z \ 1,y \ 1) \ (x \ u) = (x \ u) * L(u \ (x \ u),z,y).
L(L(x,a(y,z,x),u),z,(y \ 1) \ 1) \ (x \ u) = (x \ u) * L(u \ (x \ u),z,y).
L(L(x,a(y,z,x),u),z,y) \ (x \ u) = (x \ u) * L(u \ (x \ u),z,y).
(x \ y) * L(y \ (x \ y),z,u) = L(x,z,u) \ (x \ y).
(L(x,y,z) \ (x \ u)) / (L(x \ 1,y,z) * (x \ u)) = a(u,x,L(x,y,z)).
(x \ (L(x,y,z) \ u)) / (L(x \ 1,y,z) * (x \ u)) = a(u,x,L(x,y,z)).
L(x \ 1,y,z) * (x \ u) = (x \ 1) * (L(x,y,z) \ u).
a(x,y,z) * (z \ u) = L(z,y,x) \ u.
(x \ y) * a(z,u,x) = L(x,u,z) \ y.
x * L(x \ (y \ x),z,u) = L(y,z,u) \ x.
a(x,y,z) * (L(z,u,x) \ w) = L(L(z,u,x),y,x) \ w.
x * (L(x,y,z) \ u) = u * a(z,y,x).
x * (a(y,z,x) * (L(x,z,y) \ u)) = a(y,z,x) * (a(y,z,x) * u).
(x / y) * a(z,u,y) = x / L(y,u,z).
(x * (y * z)) / L(L(z,y,x),u,w) = (x * y) * a(w,u,L(z,y,x)).
a(x,y,z) * (a(x,y,z) * u) = z * (L(L(z,y,x),y,x) \ u).
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = a(z,u,w) * (L(L(a(z,u,w),y,x),y,x) \ v5).
a(x,y,z) * (u * a(x,y,z)) = z * (L(L(z,y,x),y,x) \ u).
(x * (y * z)) / L(L(z,y,x),u,w) = x * (y * a(w,u,z)).
a((x * (y * z)) \ (x * y),u,w) = (x * y) \ (x * (y * a(w,u,z))).
a((x * (y * z)) \ (x * y),u,w) = L(a(w,u,z),y,x).
a((x * (y * z)) \ (x * y),u,w) = a(w,u,L(z,y,x)).
a(x,y,L(L(z,z,u),u * z,w)) = a(x,y,L(z,u,w)).
(x * (y * z)) * L(L(z,y * z,(x \ 1) \ 1),z,y) = (x * y) * (z * L(L(z,y,x),y,x)).
(x * (y * z)) * L(L(z,y * z,x),z,y) = (x * y) * (z * L(L(z,y,x),y,x)).
(x * y) * (z * L(L(z,y,x),y,x)) = x * ((y * z) * L(z,z,y)).
(x * y) * (z * L(L(z,y,x),y,x)) = x * (y * (z * z)).
(x * y) * (L(L(a(z,u,a(w,v5,v6)),y,x),y,x) * a(w,v5,a(z,u,v6))) = x * (y * (a(z,u,a(w,v5,v6)) * a(z,u,a(w,v5,v6)))).
a(x,y,L(z,z,u)) * a(w,v5,a(z,y,L(x,z,u))) = a(u \ (z \ u),y,L(z \ x,v5,w)).
a(x \ (y \ x),z,L(y \ u,w,v5)) = a(u,z,L(y,y,x)) * a(v5,w,a(y,z,u)).
a(x \ (y \ x),z,L(y \ u,w,v5)) = a(u,z,L(L(y,y,x),w,v5)).
a(x,y,L(L(z,z,u),w,v5)) = a(L(z \ x,w,v5),y,z).
a(x,y,L(L(z,z,u),w,v5)) = a(z \ x,y,L(z,w,v5)).
a(x,y,L(L(z,z,u),w,v5)) = a(x,y,L(z,w,v5)).
a(x,y,L(z,u * z,w)) = a(x,y,L(z,u,w)).
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = a(z,u,w) * (L(a(z,u,L(w,y,x)),y,x) \ v5).
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = a(z,u,w) * (a(z,u,L(L(w,y,x),y,x)) \ v5).
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = a(z,u,w) * (a(L(L(w,y,x),y,x),u,z) * v5).
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = a(z,u,w) * (a(L(w,y,x),u,L(z,y,x)) * v5).
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = a(z,u,w) * (a(w,u,L(L(z,y,x),y,x)) * v5).
T(a(x,y,a(z,u,w)) * (v5 * a(v6,v7,a(v8,v9,v10))),a(x,y,a(z,u,w))) = v5 * (a(v6,v7,a(v8,v9,v10)) * a(z,u,a(x,y,w))).
L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * L(u * z,a(z,v5,v6),u)).
a(x,y,L(z,u * L(z,y,x),w)) = (w * (u * L(z,y,x))) \ (w * L(u * z,a(z,v5,v6),u)).
a(x,y,L(z,u * L(z,y,x),w)) = (w * (u * L(z,y,x))) \ (w * (u * z)).
a(x,y,z) * (u \ (a(z,y,x) * (u * w))) = w * a(a(x,y,z),a(x,y,z) \ w,u).
a(x,y,z) * (u \ (a(z,y,x) * (u * w))) = w * a(a(x,y,z),a(z,y,x) * w,u).
a(a(x,y,z),a(z,y,x) * u,w) = a(w,u,a(z,y,x)).
a(x,a(y,z,u) * w,a(u,z,y)) = a(a(y,z,u),w,x).
a(x,y,L(z,a(x,y,z) * u,w)) = a(x,y,z) * a(a(x,y,z),u,w).
a(x,y,L(z,a(x,y,z) * u,w)) = a(x,y,L(z,u,w)).
a(x,y,L(z,u,w)) * (w * T(u,v5)) = w * T(a(x,y,z) * u,v5).
(x * T(a(y,z,u) * w,v5)) \ (x * (T(w,v5) * L(y,z,u))) = L(y,w,x).
(x * (y * a(z,u,w))) \ (x * (y * L(z,u,w))) = L(z,y,x).
T(a(x,y,z) * (L(L(a(x,y,z),u,w),u,w) \ v5),a(w,u,a(x,y,z))) = v5 * (a(w,u,a(x,y,z)) * a(x,y,a(w,u,z))).
T(a(x,y,z) * (L(a(x,y,L(z,u,w)),u,w) \ v5),a(w,u,a(x,y,z))) = v5 * (a(w,u,a(x,y,z)) * a(x,y,a(w,u,z))).
T(a(x,y,z) * (a(x,y,L(L(z,u,w),u,w)) \ v5),a(w,u,a(x,y,z))) = v5 * (a(w,u,a(x,y,z)) * a(x,y,a(w,u,z))).
T(a(x,y,z) * (a(L(L(z,u,w),u,w),y,x) * v5),a(w,u,a(x,y,z))) = v5 * (a(w,u,a(x,y,z)) * a(x,y,a(w,u,z))).
T(a(x,y,z) * (a(L(z,u,w),y,L(x,u,w)) * v5),a(w,u,a(x,y,z))) = v5 * (a(w,u,a(x,y,z)) * a(x,y,a(w,u,z))).
T(a(x,y,z) * (a(z,y,L(L(x,u,w),u,w)) * v5),a(w,u,a(x,y,z))) = v5 * (a(w,u,a(x,y,z)) * a(x,y,a(w,u,z))).
a(x,y,z) * (a(z,y,L(L(x,u,w),u,w)) * v5) = v5 * (a(w,u,a(x,y,z)) * a(x,y,a(w,u,z))).
(x \ T(K(y,z) * u,z)) * L((x \ T(K(y,z) * u,z)) \ T(u,z),w,v5) = x \ ((K(y,z) * L(K(y,z) \ x,w,v5)) * T(u,z)).
(x * y) * (L(a(z,u,L(a(w,v5,v6),y,x)),y,x) * a(w,v5,a(z,u,v6))) = x * (y * (a(z,u,a(w,v5,v6)) * a(z,u,a(w,v5,v6)))).
(x * y) * (L(a(z,u,a(w,v5,L(v6,y,x))),y,x) * a(w,v5,a(z,u,v6))) = x * (y * (a(z,u,a(w,v5,v6)) * a(z,u,a(w,v5,v6)))).
(x * y) * (a(z,u,L(a(w,v5,L(v6,y,x)),y,x)) * a(w,v5,a(z,u,v6))) = x * (y * (a(z,u,a(w,v5,v6)) * a(z,u,a(w,v5,v6)))).
(x * y) * (a(z,u,a(w,v5,L(L(v6,y,x),y,x))) * a(w,v5,a(z,u,v6))) = x * (y * (a(z,u,a(w,v5,v6)) * a(z,u,a(w,v5,v6)))).
(x * (L(y,z,u) * (T(T(w,y),v5) / y))) \ (x * (T(w,v5) * L(y,z,u))) = L(y,L(y,z,u) * (y \ T(T(w,L(y,z,u)),v5)),x).
L(x,L(x,y,z) * (x \ T(T(u,L(x,y,z)),w)),v5) = (v5 * (L(x,y,z) * (x \ T(u,w)))) \ (v5 * (T(u,w) * L(x,y,z))).
1 * (x \ ((L(y,z,u) \ 1) * (T(y,L(y,z,u) \ 1) * x))) = ((L(y,z,u) \ 1) * (T(y,L(y,z,u) \ 1) * x)) / x.
((L(x,y,z) \ 1) * (T(x,L(x,y,z) \ 1) * u)) / u = 1 * (u \ ((L(x,y,z) \ 1) * (T(x,x \ 1) * u))).
((L(x,y,z) \ 1) * (T(x,L(x,y,z) \ 1) * u)) / u = 1 * (u \ ((L(x,y,z) \ 1) * (T(x,1) * u))).
((L(x,y,z) \ 1) * (T(x,L(x,y,z) \ 1) * u)) / u = 1 * (u \ ((L(x,y,z) \ 1) * (x * u))).
((L(x,y,z) \ 1) * (T(x,L(x,y,z) \ 1) * u)) / u = u \ ((L(x,y,z) \ 1) * (x * u)).
(x \ (L(y,z,u) \ y)) \ (x \ ((L(y,z,u) \ 1) * (y * x))) = L(x,y,L(y,z,u) \ 1).
(x \ (L(y,z,u) \ y)) \ (x \ (y * ((L(y,z,u) \ 1) * x))) = L(x,y,L(y,z,u) \ 1).
L(x,L(y,z,u) \ 1,y) = L(x,y,L(y,z,u) \ 1).
L(x,L(y,z,u) \ 1,y) = L(x,y,L(y \ 1,z,u)).
x * (L(L(x,y,L(y \ 1,z,u)) \ x,w,v5) \ 1) = L(x,L(y,z,u),L(y,w,v5) \ 1).
L(x,L(y,z,u),L(y,w,v5) \ 1) = L(x,y,L(L(y \ 1,z,u),w,v5)).
a(x,x,a(y,z,L(L(u,w,v5),v6,v7))) * a(y,z,u) = a(y,z,L(u,x,L(L(x \ 1,v6,v7),w,v5))).
a(x,y,L(z,u,L(L(u \ 1,w,v5),v6,v7))) = 1 * a(x,y,z).
a(x,y,L(z,u,L(L(u \ 1,w,v5),v6,v7))) = a(x,y,z).
a(x,y,L(z,u,u \ 1)) = a(x,y,z).
a(x,y,L(z,u,u)) = a(x,y,z).
(x \ 1) * a(y,z,u) = x \ a(y,z,u).
((x \ 1) \ y) \ a(z,u,w) = ((y \ 1) / x) * a(z,u,w).
(x \ 1) \ a(y,z,u) = x * a(y,z,u).
(x \ a(y,z,u)) \ 1 = x * a(u,z,y).
a(x,y,z) / ((u \ 1) \ (a(x,y,z) / w)) = (a(x,y,z) * w) / (u * a(x,y,z)).
(x * a(y,z,u)) \ 1 = (x \ 1) * a(u,z,y).
(x * a(y,z,u)) \ L(L(x,a(w,v5,v6),a(v6,v7,v8)),v9,v10) = ((x \ 1) * a(u,z,y)) * L(((x * a(y,z,u)) \ 1) \ a(u,z,y),v9,v10).
a(x,y,z) / ((u \ 1) \ (w \ a(x,y,z))) = (a(x,y,z) * w) / (u * a(x,y,z)).
((x \ 1) \ (y \ a(z,u,w))) \ a(z,u,w) = (a(z,u,w) * y) / (x * a(z,u,w)).
(((x \ a(y,z,u)) \ 1) / w) * a(y,z,u) = (a(y,z,u) * x) / (w * a(y,z,u)).
(a(x,y,z) * u) / (w * a(x,y,z)) = ((u * a(z,y,x)) / w) * a(x,y,z).
(((x * y) * a(z,u,w)) / y) * a(w,u,z) = L(x,y,a(w,u,z)).
(x \ (a(y,z,u) * (x * w))) * a(u,z,y) = L(w,x,a(u,z,y)).
a(x,y,z) * (u \ (a(z,y,x) * (u * w))) = L(w,u,a(x,y,z)).
x * a(y,x,a(z,u,w)) = L(x,y,a(w,u,z)).
x * a(y,z,a(u,x,w)) = L(x,u,a(w,z,y)).
a(x,y,a(z,u,w)) * u = L(u,z,a(w,y,x)).
a(x,y,a(z,u,w)) = a(y,x,a(w,u,z)).
L(x,y,a(z,u,x)) != w | x = w.
L(x / (x * a(y,z,u)),x,w) = L(x,w,a(u,z,y)) / (x * a(y,z,u)).
x * a(y,x,a(z,u,w)) = L(x,w,a(z,u,y)).
L(x,y,a(z,u \ w,u)) = x * a(u,x,a(z,w,y)).
a(x,y,a(z,y,u)) = 1.
L(x,y,a(z,y,u)) = x.
(a(x,y,a(z,u,w)) \ (v5 * u)) \ ((v5 * L(u,z,a(w,y,x))) / a(x,y,a(z,u,w))) = L(T(a(x,y,a(z,u,w)),v5 * u),u,v5).
L(x,y,a(z,u,a(w,y,v5))) * L(y,w,a(v5,u,z)) = (x * y) * a(z,u,a(w,y,v5)).
a(x,y,z) * (u * ((a(x,y,z) * u) \ w)) = u * ((u \ w) * a(z,y,a(u,u \ w,x))).
(x * L(y,z,a(u,w,v5))) / a(v5,w,a(z,y,u)) = x * (a(a(v5,w,a(z,y,u)),y,x) * y).
(a(x,y,z) * y) * u = a(x,y,z) * (y * u).
L(x,y,a(z,u,a(w,y,v5))) = x.
L(L(x,y,a(z,u,w)),y,a(z,u,w)) = L(x,a(z,u,w),y).
x \ (a(y,z,u) * (x * (a(u,z,y) * w))) = L(w,y,a(x,z,u)).
L(x,y,a(z,u,w)) = L(x,w,a(y,u,z)).
L(x / a(y,z,u),y,a(u,z,w)) * L(a(y,z,u),v5,v6) = a(a(y,z,u),v5,v6) * L(x,w,a(y,z,u)).
a(x,y,L(z,y,u)) = a(x,y,z).
L(x,y,a(z,u \ w,u)) = L(x,u,a(y,w,z)).
L(L(x,y,a(z,u,w)),z,a(w,u,y)) = L(x,a(z,u,w),y).
L(x * a(y,x,a(z,u,w)),w,a(z,u,y)) = L(x,a(w,u,z),y).
L(a(x,y,a(z,u,w)),v5,a(v6,v7,v8)) = a(x,y,a(z,u,w)).
(a(x,y,z) * u) * a(w,v5,a(v6,v7,v8)) != v9 | a(x,y,z) * (u * a(w,v5,a(v6,v7,v8))) = v9.
(x * y) * a(z,u,a(w,y,v5)) = x * L(y,w,a(v5,u,z)).
a(x,y,z) * (u * ((a(x,y,z) * u) \ w)) = u * ((u \ w) * a(u,y,a(x,w,z))).
a(x,y,z) * (u * ((a(x,y,z) * u) \ w)) = u * (L(u,y,a(z,w,x)) \ w).
a(x,y,z) * (u * ((a(x,y,z) * u) \ w)) = w * a(a(z,w,x),y,u).
a(x,y,z) * (u * ((a(x,y,z) * u) \ w)) = w * a(x,w,a(u,y,z)).
a(x,y,z) * (u * ((a(x,y,z) * u) \ w)) = L(w,x,a(z,y,u)).
x * ((a(y,z,u) * x) \ (w * a(y,z,u))) = L(w,y,a(u,z,x)).
a(x,y,a(z \ u,z,w)) = L(u,w,a(x,y,z)) \ u.
a(x,y,a(z \ u,z,w)) = a(a(x,y,z),w,u).
a(x,y,a(z \ u,z,w)) = a(z,y,a(u,w,x)).
a(x,y,a(z,u,x \ w)) * (v5 * u) = v5 * L(u,y,a(z \ w,x,x \ z)).
L(x,y,a(z,u,u \ w)) = x * a(u,x,a(w,z,y)).
L(x,y,a(z,u,u \ w)) = L(x,u,a(y,z,w)).
a(x,y,a(z,u,w)) * (v5 * y) = v5 * L(y,u,a(x \ w,z,z \ x)).
a(x,y,a(z,u,w)) * (v5 * y) = v5 * L(y,z,a(u,x \ w,x)).
a(x,y,a(z,u,w)) * (v5 * y) = v5 * L(y,x,a(z,w,u)).
a(a(x,y,z),u,w) * (v5 * L(y,x,a(z,u,w))) = v5 * (a(a(w,u,a(x,y,z)),y,v5) * y).
a(x,y,a(z,u,w)) * (v5 * L(y,w,a(x,u,z))) = v5 * (a(a(z,u,a(w,y,x)),y,v5) * y).
a(x,y,a(z,u,w)) * (v5 * L(y,w,a(x,u,z))) = v5 * (a(a(w,y,x),u,a(v5,y,z)) * y).
a(x,y,a(z,u,w)) * (v5 * L(y,w,a(x,u,z))) = v5 * (a(x,y,a(a(v5,y,z),u,w)) * y).
a(x,y,a(z,u,w)) * (v5 * L(y,w,a(x,u,z))) = v5 * (a(x,y,a(z,y,a(w,u,v5))) * y).
a(x,y,a(z,u,w)) * (v5 * L(y,w,a(x,u,z))) = v5 * (1 * y).
a(x,y,a(z,u,w)) * (v5 * L(y,w,a(x,u,z))) = v5 * y.
L(a(x,y,z) * u,z,a(x,y,w)) * L(a(z,y,x),v5,v6) = a(a(z,y,x),v5,v6) * L(u,w,a(z,y,x)).
L(a(x,y,z) * u,z,a(x,y,w)) * a(z,y,L(x,v5,v6)) = a(a(z,y,x),v5,v6) * L(u,w,a(z,y,x)).
(a(a(x,y,z),u,w) * (v5 * y)) \ ((v5 * L(y,x,a(z,u,w))) / a(w,u,a(x,y,z))) = L(T(a(w,u,a(x,y,z)),v5 * y),y,v5).
(a(x,y,a(z,u,w)) * (v5 * y)) \ ((v5 * L(y,w,a(x,u,z))) / a(z,u,a(w,y,x))) = L(T(a(z,u,a(w,y,x)),v5 * y),y,v5).
(x * L(y,z,a(u,w,v5))) \ ((x * L(y,w,a(z,v5,u))) / a(u,v5,a(w,y,z))) = L(T(a(u,v5,a(w,y,z)),x * y),y,x).
(x * L(y,z,a(u,w,v5))) \ (a(a(w,y,z),v5,u) * (x * L(y,w,a(z,v5,u)))) = L(T(a(u,v5,a(w,y,z)),x * y),y,x).
(x * L(y,z,a(u,w,v5))) \ (a(z,y,a(u,v5,w)) * (x * L(y,w,a(z,v5,u)))) = L(T(a(u,v5,a(w,y,z)),x * y),y,x).
L(T(a(x,y,a(z,u,w)),v5 * u),u,v5) = (v5 * L(u,w,a(x,z,y))) \ (v5 * u).
L(T(a(x,y,a(z,u,w)),v5 * u),u,v5) = a(a(x,z,y),w,u).
L(T(a(x,y,a(z,u,w)),v5 * u),u,v5) = a(y,z,a(u,w,x)).
L(a(x,y,a(z,u,w)),u,v5) = a(y,z,a(u,w,x)).
a(x,y,a(z,u,w)) = a(w,x,a(y,z,u)).
a(x,y,z) * L(x,u,a(w,v5,v6)) = L(x,y,z) * a(v6,x,a(u,w,v5)).
a(x,y,a(z,u,w)) * L(u,v5,v6) = a(u,v5,v6) * L(u,x,a(y,w,z)).
(x * a(y,z,u)) \ L(L(x,a(w,v5,v6),a(v6,v7,v8)),v9,v10) = ((x \ 1) * a(u,z,y)) * L(((x \ 1) * a(u,z,y)) \ a(u,z,y),v9,v10).
(x * a(y,z,u)) \ L(L(x,a(w,v5,v6),a(v6,v7,v8)),v9,v10) = ((x \ 1) * a(u,z,y)) * L(a(u,z,y) \ ((x \ 1) \ a(u,z,y)),v9,v10).
(x * a(y,z,u)) \ L(L(x,a(w,v5,v6),a(v6,v7,v8)),v9,v10) = a(u,z,y) * a(v10,v9,x \ 1).
(x * a(y,z,u)) \ L(x,w,v5) = a(u,z,y) * a(v5,w,x \ 1).
(x * a(y,z,u)) \ L(x,w,v5) = a(u,z,y) * a(x,w,v5).
L(x,y,z) / (x * a(u,w,v5)) = a(v5,w,u) * a(x,y,z).
L(x / (x * a(y,z,u)),x,w) = a(u,z,y) * a(x,w,a(u,z,y)).
L(x / (x * a(y,z,u)),x,w) = a(u,z,L(y,w,x \ 1)).
a(x,y,L(z,u,w \ 1)) = L(a(x,y,z),w,u).
a(x,y,L(z,u,w \ 1)) = a(x,y,L(z,w,u)).
R(x * a(y,z,u),a(a(y,z,u),w,L(v5,a(y,z,u),x)),v6) \ ((x * a(y,z,L(u,w,v5))) * v6) = L(a(a(y,z,u),w,v5),a(y,z,u),x) * v6.
(x * a(y,z,u)) \ ((x * a(y,z,L(u,w,v5))) * v6) = L(a(a(y,z,u),w,v5),a(y,z,u),x) * v6.
(x * a(y,z,u)) \ ((x * a(y,z,L(u,w,v5))) * v6) = a(a(y,z,u),w,L(v5,a(y,z,u),x)) * v6.
(x * a(y,z,u)) \ ((x * a(y,z,L(u,w,v5))) * v6) = v6 * a(v5,w,u \ L(u,z,y)).
(x * a(y,z,u)) \ ((x * L(a(y,z,u),w,v5)) * v6) = v6 * a(v5,w,u \ L(u,z,y)).
(x * a(y,z,u)) \ ((x * L(w \ (w * a(y,z,u)),v5,v6)) * v7) = v7 * a(v6,v5,u \ L(u,z,y)).
L(x,y,z) * L(L(x,y,z) \ x,u,w) = x * a(w,u,x \ L(x,y,z)).
L(L(x,y,z) \ x,u,w) * L(x,y,z) = x * a(w,u,x \ L(x,y,z)).
L(L(x,y,z) \ x,u,w) * L(x,y,z) = a(a(z,y,x),u,w) * x.
L(x,y,z) \ (L(x / L(x,y,z),u,w) \ x) = (a(a(z,y,x),u,w) * x) \ x.
L(x,y,z) \ (L(x / L(x,y,z),u,w) \ x) = x \ (a(a(z,y,x),u,w) \ x).
L(x,y,z) \ (L(x / L(x,y,z),u,w) \ x) = a(w,u,a(z,y,x)).
L(x,y,z) \ (L(a(x \ z,y,x),u,w) \ x) = a(w,u,a(z,y,x)).
L(x,y,z) \ (a(x \ z,y,L(x,u,w)) \ x) = a(w,u,a(z,y,x)).
L(x,y,z) \ L(x,y,L(x * (x \ z),u,w)) = a(w,u,a(z,y,x)).
L(x,y,z) \ L(x,y,L(z,u,w)) = a(w,u,a(z,y,x)).
L(x,y,z) * a(u,w,a(z,y,x)) = L(x,y,L(z,w,u)).
L(x,y,z) * a(a(z,y,x),u,w) = L(x,y,L(z,u,w \ 1)).
L(x,y,z) * a(x,a(z,y,x),u) = L(x,y,L(z,x,u \ 1)).
L(x,y,L(z,x,u \ 1)) = L(x,y,z).
L(x,y,L(z,x,u \ 1)) \ w = w * L(w \ (x \ w),y,z).
x * L(x \ (y \ x),z,(u \ 1) / (y \ 1)) = L(y,z,(u \ 1) * y) \ x.
x * L(x \ (y \ x),z,(u \ 1) / (y \ 1)) = L(y,z,u \ 1) \ x.
x * L(x \ (y \ x),z,1 / (y \ (u * 1))) = L(y,z,u \ 1) \ x.
x * L(x \ (y \ x),z,1 / (y \ u)) = L(y,z,u \ 1) \ x.
x * L(x \ (y \ x),z,(y \ u) \ 1) = L(y,z,u \ 1) \ x.
L(x \ y,z,y \ 1) = L(x,z,y \ 1) \ y.
L(T(x,y \ 1) \ y,z,y \ 1) = y / L(x,z,y \ 1).
L(x / y,z,x \ 1) = x / L(y,z,x \ 1).
L(x / a(y,z,u),w,x \ 1) = x / a(y,z,L(u,w,x \ 1)).
L(x / a(y,z,u),w,x \ 1) = x / a(y,z,L(u,x,w)).
L(x / a(y,z,u),w,x \ 1) = a(L(u,x,w),z,y) * x.
L(x / a(y,z,u),w,x \ 1) = a(u,z,L(y,x,w)) * x.
L(a(x,y,z) * u,w,u \ 1) = a(x,y,L(z,u,w)) * u.
x * (a(y,z,L(a(u,w,v5),v6,x)) * v6) = a(y,z,a(u,w,v5)) * (x * v6).
x * (a(y,z,a(u,w,L(v5,v6,x))) * v6) = a(y,z,a(u,w,v5)) * (x * v6).
((x * (a(a(y,z,u),w,v5) * v6)) / L(x * v6,a(a(y,z,u),w,v5),a(a(a(y,z,u),w,v5),x,v6))) * v7 = a(a(a(y,z,u),w,v5),x,v6) * (a(a(y,z,u),w,v5) * v7).
a(a(a(x,y,z),u,w),v5,v6) * (a(a(x,y,z),u,w) * v7) = ((v5 * (a(a(x,y,z),u,w) * v6)) / (v5 * v6)) * v7.
a(a(a(x,y,z),u,w),v5,v6) * (a(a(x,y,z),u,w) * v7) = L(a(a(x,y,z),u,w),v6,v5) * v7.
(x * y) * (L(a(a(z,u,w),v5,v6),y,x) * v7) = (x * (a(a(z,u,w),v5,v6) * y)) * v7.
(x * y) * (a(a(z,u,w),v5,L(v6,y,x)) * v7) = (x * (a(a(z,u,w),v5,v6) * y)) * v7.
(x * y) * (a(z,u,a(L(w,y,x),v5,v6)) * v7) = (x * (a(a(v6,u,z),v5,w) * y)) * v7.
(x * y) * (a(z,u,a(w,v5,L(v6,y,x))) * v7) = (x * (a(a(v6,u,z),v5,w) * y)) * v7.
(x * y) * (a(z,u,a(w,v5,L(v6,y,x))) * v7) = (x * (a(z,u,a(w,v5,v6)) * y)) * v7.
(x * (a(y,z,a(u,w,L(v5,v6,x))) * v6)) * a(u,w,a(y,z,v5)) = x * (v6 * (a(y,z,a(u,w,v5)) * a(y,z,a(u,w,v5)))).
R(x,K(y,z),u * L(u \ (K(z,y) * w),v5,v6)) * T(K(y,z) * (u * L(u \ (K(z,y) * w),v5,v6)),v7) = (x * K(y,z)) * (u * (L(u \ (K(z,y) * w),v5,v6) * K(u * L(u \ w,v5,v6),v7))).
R(x,K(y,z),u * L(u \ (K(z,y) * w),v5,v6)) * T(K(y,z) * (u * L(u \ (K(z,y) * w),v5,v6)),v7) = (x * K(y,z)) * (u * L((u \ (K(z,y) * w)) * K(u * L(u \ w,v5,v6),v7),v5,v6)).
R(x,K(y,z),u * L(u \ (K(z,y) * w),v5,v6)) * T(K(y,z) * (u * L(u \ (K(z,y) * w),v5,v6)),v7) = x * (K(y,z) * (u * L((u \ (K(z,y) * w)) * K(u * L(u \ w,v5,v6),v7),v5,v6))).
R(x,K(y,z),u * L(u \ (K(z,y) * w),v5,v6)) * T(K(y,z) * (u * L(u \ (K(z,y) * w),v5,v6)),v7) = x * (u * L((u \ w) * K(u * L(u \ w,v5,v6),v7),v5,v6)).
x * T(K(y,z) * (u * L(u \ (K(z,y) * w),v5,v6)),v7) = x * (u * L((u \ w) * K(u * L(u \ w,v5,v6),v7),v5,v6)).
x * (y * L((y \ z) * K(y * L(y \ z,u,w),v5),u,w)) = x * T(y * L(y \ z,u,w),v5).
x * (y * L((y \ z) * K(z,u),w,v5)) = x * T(y * L(y \ z,w,v5),u).
x * T(y * L(y \ z,u,w),v5) = x * (y * L(y \ T(z,v5),u,w)).
T(x * L(x \ y,z,u),w) = x * L(x \ T(y,w),z,u).
T((x \ T(K(y,z) * u,z)) * L((x \ T(K(y,z) * u,z)) \ u,w,v5),z) = x \ ((K(y,z) * L(K(y,z) \ x,w,v5)) * T(u,z)).
T((x \ (K(y,z) * u)) * L((x \ (K(y,z) * u)) \ u,w,v5),z) = x \ ((K(y,z) * L(K(y,z) \ x,w,v5)) * T(u,z)).
T((x \ (K(y,z) * u)) * L(T(K(z,y) * x,u),w,v5),z) = x \ ((K(y,z) * L(K(y,z) \ x,w,v5)) * T(u,z)).
x \ ((K(y,z) * L(K(y,z) \ x,u,w)) * T(v5,z)) = T(L(x,u,w) * (x \ v5),z).
x \ ((K(y,z) * L(K(z,y) * x,u,w)) * T(v5,z)) = T(L(x,u,w) * (x \ v5),z).
x \ (L(K(y,z) * (K(z,y) * x),u,w) * T(v5,z)) = T(L(x,u,w) * (x \ v5),z).
T(L(x,y,z) * (x \ u),w) = x \ (L(x,y,z) * T(u,w)).
T(L(x,y,z) * (x \ u),w) = L(x,y,z) * (x \ T(u,w)).
K(x,y) * T(L(z,u,y) * (z \ (T(y,x) * u)),y) = (y * (T(u * K(x,y),y) * z)) / (K(x,y) * z).
L(x,L(x,y,z) * (x \ T(T(u,L(x,y,z)),w)),v5) = (v5 * T(L(x,y,z) * (x \ u),w)) \ (v5 * (T(u,w) * L(x,y,z))).
(x * (T(y * K(z,x),x) * u)) / (K(z,x) * u) = K(z,x) * T((T(x,z) * (y * u)) / u,x).
(x * (T(y * K(z,x),x) * u)) / (K(z,x) * u) = T(K(z,x) * ((T(x,z) * (y * u)) / u),x).
(x * (T(y * K(z,x),x) * u)) / (K(z,x) * u) = T((x * (y * u)) / u,x).
(x * (T(y,x) * (K(z,x) * u))) / (K(z,x) * u) = T((x * (y * u)) / u,x).
((x * (T(y,x) * (K(z,x) * u))) / u) * K(x,z) = T((x * (y * u)) / u,x).
(((x * (T(y,x) * z)) / z) * K(u,x)) * K(x,u) = T((x * (y * z)) / z,x).
(x * (T(y,x) * z)) / z = T((x * (y * z)) / z,x).
(L(T(x,y),z,u) * (z * u)) / T(T(x,z * u),y) = T((u * (z * x)) / x,u).
a((x * y) \ (z * x),x,y) = T((z * (x * y)) / y,z) \ (x * z).
a(x \ (y * x),x,z) = T((y * (x * z)) / z,y) \ (x * y).
T((x * (y * z)) / z,x) \ (y * x) = a(T(x,y),y,z).
a(x,y,z) = T((x * (y * z)) / z,x) \ (y * x).
T((x * (x * (x \ y))) / (x \ y),x) = y / (x \ (x \ y)).
T((x * y) / (x \ y),x) = y / (x \ (x \ y)).
T(x / (y \ (y \ x)),y) = x / (y \ (y \ x)).
((T(x,y) * z) * u) / T(T(x,z * u),y) = T((u * (z * x)) / x,u).
T((x * (y * z)) / z,x) = z \ ((z * y) * x).
T((x * y) / (z \ y),x) = (z \ y) \ (((z \ y) * z) * x).
T(x / (y \ (z \ x)),z) = (y \ x) \ (((y \ x) * y) * z).
T(x / (y \ (z \ x)),z) = (y \ x) \ (T(x,y) * z).
T(x / (y \ (z \ x)),z) = (x / y) \ (x * z).
x / (y \ (y \ x)) = (x / y) \ (x * y).
(x / (y * ((y \ 1) * (y \ x)))) * y = (x / y) \ (x * y).
(x / L(y \ x,y,y \ 1)) * y = (x / y) \ (x * y).
(x / ((y \ 1) * x)) * y = (x / y) \ (x * y).
(x \ (x / (y \ 1))) * y = (x / y) \ (x * y).
(x / y) \ (x * y) = x \ ((x * y) * y).
x \ ((x * a(y,x,a(z,u,w))) * a(y,x,a(z,u,w))) = (x / a(y,x,a(z,u,w))) \ L(x,y,a(w,u,z)).
x \ ((x * a(y,x,a(z,u,w))) * a(y,x,a(z,u,w))) = (a(a(z,u,w),x,y) * x) \ L(x,y,a(w,u,z)).
x \ ((x * a(y,x,a(z,u,w))) * a(y,x,a(z,u,w))) = (a(w,u,a(y,x,z)) * x) \ L(x,y,a(w,u,z)).
x \ ((x * a(y,x,a(z,u,w))) * a(y,x,a(z,u,w))) = L(x,y,a(z,u,w)) \ L(x,y,a(w,u,z)).
x \ ((x * a(y,x,a(z,u,w))) * a(y,x,a(z,u,w))) = a(a(z,u,w),y,x) * a(x,y,a(w,u,z)).
x \ ((x * a(y,x,a(z,u,w))) * a(y,x,a(z,u,w))) = a(w,u,a(x,y,z)) * a(x,y,a(w,u,z)).
x \ (L(x,y,a(z,u,w)) * a(y,x,a(w,u,z))) = a(z,u,a(x,y,w)) * a(x,y,a(z,u,w)).
x \ (a(x,y,a(z,u,w)) * L(x,w,a(u,z,y))) = a(z,u,a(x,y,w)) * a(x,y,a(z,u,w)).
L(x,L(x,y,z) * (x \ T(T(u,x),w)),v5) = (v5 * T(L(x,y,z) * (x \ u),w)) \ (v5 * (T(u,w) * L(x,y,z))).
L(x,L(x,y,z) * T(x \ T(u,w),x),v5) = (v5 * T(L(x,y,z) * (x \ u),w)) \ (v5 * (T(u,w) * L(x,y,z))).
(x * T(L(y,z,u) * (y \ w),v5)) \ (x * (T(w,v5) * L(y,z,u))) = L(y,(y \ T(w,v5)) * L(y,z,u),x).
(x * T(L(y,z,u) * (y \ w),v5)) \ (x * (T(w,v5) * L(y,z,u))) = L(y,(y \ w) * L(y,z,u),x).
L(x,(x \ y) * L(x,z,u),w) = (w * T(y * a(x,z,u),v5)) \ (w * (T(y,v5) * L(x,z,u))).
L(x,(x \ y) * L(x,z,u),w) = (w * (y * a(x,z,u))) \ (w * (y * L(x,z,u))).
L(x,T(a(x,y,z) * u,x),w) = (w * (u * a(x,y,z))) \ (w * (u * L(x,y,z))).
(x * (y * a(z,u,w))) \ (x * (y * L(z,u,w))) = L(z,a(z,u,w) * y,x).
L(x,a(x,y,z) * u,w) = L(x,u,w).
L(x,y * L(x,z,u),w) = L(x,y * x,w).
a(x,a(y,z,u) * w,L(y,w,v5)) = a(x,a(y,z,u) * w,y).
(x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y * z,x)).
(x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)).
a(x,a(y,z,u) * w,L(y,v5,v6)) = (v6 * (v5 * L(y,w,x))) \ (v6 * (v5 * y)).
a(x,a(y,z,u) * w,L(y,v5,v6)) = a(x,w,L(y,v5,v6)).
a(x,a(y,z,u) * w,y) = a(x,w,L(y,w,v5)).
a(x,a(y,z,u) * w,y) = a(x,w,y).
a(x \ (y \ x),z,u) = a(u,a(u,w,v5) * z,y).
a(x,a(x,y,z) * u,w) = a(x,u,w).
(a(x,y,z) * u) * a(w,v5,a(x,u,v6)) = L(a(x,y,z) * u,x,a(v6,v5,w)).
L(a(x,y,z) * u,x,a(w,v5,v6)) = a(x,y,z) * L(u,x,a(w,v5,v6)).
L(a(x,y,z) * u,x,a(w,v5,v6)) = L(u,x,a(w,v5,v6)) * a(x,y,z).
L(a(x,y,L(z,u,w)) * (a(z,y,x) * v5),x,a(z,y,v6)) = a(a(x,y,z),u,w) * L(v5,v6,a(x,y,z)).
L(x * a(y,z,a(u,w,v5)),v5,a(u,w,v6)) = a(a(v5,w,u),z,y) * L(x,v6,a(v5,w,u)).
L(x * a(y,z,a(u,w,v5)),v5,a(u,w,v6)) = a(u,w,a(y,z,v5)) * L(x,v6,a(v5,w,u)).
L(x * a(y,x,a(z,u,w)),w,a(z,u,v5)) = a(x,v5,a(w,u,z)) * L(x,z,a(u,w,y)).
a(x,y,a(z,u,w)) * L(x,w,a(u,z,y)) = L(x,a(z,u,w),y).
a(x,y,a(z,u,w)) * a(z,u,a(x,y,w)) = z \ L(z,a(x,y,w),u).
a(x,y,a(z,u,w)) * a(z,u,a(x,y,w)) = a(z,a(x,y,w),u).
a(x,y,a(z,u,w)) * a(x,y,a(z,u,w)) = a(z,a(x,y,w),u).
a(x,y,z) * (a(z,y,L(L(x,u,w),u,w)) * v5) = v5 * a(x,a(w,u,z),y).
(x * (a(y,z,a(u,w,L(v5,v6,x))) * v6)) * a(u,w,a(y,z,v5)) = x * (v6 * a(u,a(y,z,v5),w)).
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = v5 * a(z,a(x,y,w),u).
(a(x,y,a(z,u,w)) * (v5 * v6)) * a(z,u,a(x,y,w)) = v5 * (v6 * a(z,a(x,y,w),u)).
a(x,y,a(z,u,w)) * ((v5 * v6) * a(z,u,a(x,y,w))) = v5 * (v6 * a(z,a(x,y,w),u)).
(x * y) * a(z,a(u,w,v5),v6) = x * (y * a(z,a(u,w,v5),v6)).
a(x,y,a(z,a(u,w,v5),v6)) = 1.
a(x,y,a(a(z,u,w),v5,v6)) = 1.

end_of_list.
