% ********************************************************************
% AIM:  middle Bol + nil3 25 => 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(a(x,a(y,z,u),w),v5,v6) = 1 # label("nil3 25, aa2-Nl").
%
% 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(a(x,a(y,z,u),w),v5,v6) = 1 # label("nil3 25, aa2-Nl").

   % 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(a(x,a(y,z,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 | y != z | x = z.
a(a(a(c1,c2,c3),c4,c5),c6,c7) != 1.
1 \ x = x.
x \ x = 1.
x \ (x * (y \ (y * z))) = z.
(x * (x \ 1)) * y = y.
x * (y * (y \ 1)) = x.
x \ (y * (y \ (x * z))) = z.
x * (y * (y \ (x \ z))) = z.
x / x = 1.
x / 1 = x.
x / (y \ x) = y.
(x / y) \ x = y.
((x * (x \ y)) / z) * z = y.
(x * (y * z)) * a(x,y,z) = (x * y) * z.
(x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y).
(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).
x \ ((x / y) * (y * z)) = L(z,y,x / y).
L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z.
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
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,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 * 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.
x != y | z * u != y | z \ x = u.
x != y | z * u != y | x / u = z.
x != y | z \ u != y | z * x = u.
1 * x != y | x = y.
x * y != z | x \ z = y.
(x / y) * z != x | y = z.
x * 1 != y | x = y.
x * y != z | z / y = x.
x / y != z | z * y = x.
x \ y != z | x * z = y.
x \ (y * z) != K(y,z) | z * y = x.
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,y,a(z,a(u,w,v5),v6)) = x.
T(a(x,y,z),u) = a(x,y,z).
(x * (x \ y)) * z = y * z.
x * (y * (y \ z)) = x * z.
((x / y) * y) / z = x / z.
(x * (x \ y)) \ z = y \ z.
(x * y) / y = (x / z) * z.
(x / y) * y = x * 1.
((1 / x) * x) \ y = y.
1 \ x != y | x = y.
a(x,y,K(z,u)) = w \ w.
x * (y \ y) = x.
(x / x) * y = y.
T(x,R(x,y,z)) = x.
T(x,T(x,y)) = x.
T(T(x,y),x) = T(x,y).
(x / (y \ x)) * z = 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 * (((x / y) * z) \ x) = (x / z) * y.
x \ y != z | y / z = x.
x * ((x * y) \ x) = x / y.
x * ((y * x) \ x) = y \ x.
(x * (x \ 1)) * y != z | y = z.
L(x,K(y,z),u) = w \ (w * x).
L(x,K(y,z),u) != w | x = w.
L(x,y,K(z,u)) = w \ (w * 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 \ 1)) = a(x,y,y \ 1).
L(x \ 1,x,y) = (y * x) \ y.
T((x * y) / x,x) = y.
(x * T(y,x)) / x = y.
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)).
(x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z).
(x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * 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 | y * u != z | T(x,y) = u.
x * y != z * x | T(z,x) = y.
R(x,y,z) * x = x * R(x,y,z).
T(T(x / y,z),y) = T(y \ x,z).
T(R(x / y,z,u),y) = R(y \ x,z,u).
T(x,y) != y \ z | z / y = x.
(x / y) * y != z | x = z.
(1 / x) * (x * y) = L(y,x,1 / x).
K(T(x,y),x) = 1.
T(T(T(x,y),z),x) = T(T(x,y),z).
T(T((x * y) / x,z),x) = T(y,z).
T(x,y) != z | (y * z) / y = x.
K(x,(y * x) / y) = 1.
T(x,(y * x) / y) = x.
(x * y) \ (x * (y * K(z,u))) = K(z,u).
(x * y) * K(z,u) = x * (y * K(z,u)).
x * T(y,x) != z | y * x = z.
x * y != z | y * T(x,y) = 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.
x * K(y \ x,y) = (y \ x) * y.
x * K(y,x / y) = y * (x / y).
x != y | z != y | x = z.
x \ (a(y,z,u) * x) = a(y,z,u).
T(x,a(y,z,u)) = x.
a(x,y,z) * u = u * a(x,y,z).
x / a(y,z,u) = a(y,z,u) \ x.
K(x,a(y,z,u)) = 1.
(a(x,y,z) \ u) * a(x,y,z) = u.
T(x,a(y,z,u)) != w | x = w.
(x / (y * (y \ z))) * z = x.
x / (y \ ((x / z) * z)) = y.
((x / y) * y) * z != u | x * z = u.
(x * y) / y != z | x = z.
x / (y \ x) != z | y = z.
(x * (y \ 1)) \ 1 = y * (x \ 1).
(x * y) \ x = x \ (x / y).
x / (x \ y) = x * (y \ x).
(x * y) \ y = y \ (x \ y).
(x / y) \ y = y * (x \ y).
x \ (x * y) != z | y = z.
T(x,x) != y | x = y.
x \ (y * x) != z | T(y,x) = z.
T((x * y) / x,x) != z | y = z.
R(x,y,y \ z) * z = (x * y) * (y \ z).
x / L(y,z,x / (z * y)) = (x / (z * y)) * z.
(x * y) * (x \ (x / y)) = x.
(x / y) * (x \ (x / z)) = x * (((x * z) * y) \ x).
x / (x * (y \ x)) = y / x.
(x * y) * (((z * x) * y) \ (x * y)) = R(z,x,y) \ (x * y).
(x / y) / x = x / (x * y).
(x * y) / x = x / (x / y).
1 / (1 / x) = x.
(x * (y \ x)) / x = x / y.
1 / x = x \ 1.
(x \ 1) \ 1 = x.
(x \ 1) * x = 1.
T(x \ 1,x) = x \ 1.
x \ 1 != y | y \ 1 = x.
x * y != 1 | y \ 1 = x.
K(x \ 1,x) = 1.
K(x \ 1,x) / y = y \ 1.
(x / y) * x = x * (y \ x).
T(x / y,x) = y \ x.
(x \ y) / y = y / (x * y).
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).
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) != z \ y | x \ y = z.
T(x \ y,y) = T(x,y) \ y.
T(x,x \ T(x,y)) = x.
T(x,x * y) = T(x,y).
x / T(T(y,x),z) = T(y,z) \ x.
x / L(T(y,x),z,u) = L(y,z,u) \ x.
x / R(T(y,x),z,u) = R(y,z,u) \ x.
R(x,y,z) / x = x \ R(x,y,z).
x / T(x,y) = T(x,y) \ x.
(x \ y) * z != y | T(x,y) = z.
L(T(x,y),x \ y,z) = (z * (x \ y)) \ (z * y).
(x \ T(x,y)) * x = T(x,y).
(T(x,y) \ x) * T(x,y) = x.
(x \ ((y * x) / y)) * x = (y * x) / y.
T(a(x,y,z) \ u,u) = a(x,y,z) \ u.
L(x,y,a(z,a(u,w,v5),v6)) != v7 | x = v7.
(x * K(y,z)) * u = x * (K(y,z) * u).
(K(x,y) * z) * u = K(x,y) * (z * u).
L(x \ 1,x,y) = y \ (y / x).
(K(x,y) * z) \ K(x,y) = z \ 1.
x * L(y \ 1,y,z) = x * ((z * y) \ z).
x / L(y \ 1,y,x) = x * y.
L(x \ 1,x,y / x) = y \ (y / x).
L(T(x,y) \ 1,T(x,y),y) = (x * y) \ y.
x * L(y \ 1,y,x) = x / y.
L(x,x \ 1,y) = (y * (x \ 1)) \ y.
L(x \ 1,x,y) \ y = T(y * x,y).
x * L(T(y,x),z,u) != w | L(y,z,u) * x = w.
T(x / y,y) != z | y \ x = z.
T(x / y,x) != z | y \ x = z.
a(x,y,z) != u \ w | a(x,y,z) \ w = u.
L(x \ 1,x,y) = 1 \ (y \ (y / x)).
L(x \ 1,x,y) \ z = (y \ (y / x)) \ z.
x * L(y \ 1,y,z) = x * (z \ (z / y)).
K(x,y) * (z \ 1) = K(x,y) / z.
L(x,x \ 1,y) = y \ (y / (x \ 1)).
K(x,y) / (z \ 1) = K(x,y) * z.
x / L(y,y \ 1,x) = x * (y \ 1).
L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y) = x.
T(x,y) != z | y \ (x * y) = z.
T(T(x,y),z) != u | T(T(x,z),y) = u.
(x * (y \ z)) \ z = z \ (y * (x \ z)).
x != y | z * u != y | T(z,u) = u \ x.
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
(x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)).
x * L(y,z \ x,z) = z * ((z \ x) * y).
(a(x,a(y,z,u),w) * v5) * v6 = a(x,a(y,z,u),w) * (v5 * v6).
(x * y) * T(L(z,y,x),u) = x * (y * T(z,u)).
T(x / y,z) * y = y * T(y \ x,z).
T(x,y) * a(z,u,w) = a(z,u,w) * T(x,y).
T(x \ y,y) = T(x \ y,x).
T(x \ y,x) = T(x,y) \ y.
(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 = (u * a(x,y,z)) * w.
(a(x,y,z) * u) \ w = (u * a(x,y,z)) \ w.
x * a(y,z,u) != w | a(y,z,u) \ w = x.
(x \ 1) * (y \ 1) = (y * x) \ 1.
K(x,y) * (1 / z) = K(x,y) / z.
(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 * (y \ 1)) * z) \ 1 = (z \ 1) * (y * (x \ 1)).
(x \ (y \ 1)) \ 1 = y / (x \ 1).
((x \ 1) \ y) \ 1 = (y \ 1) / x.
(x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1.
(x \ 1) / ((y \ 1) * z) = (((z \ 1) * y) \ x) \ 1.
(x / (y \ 1)) \ 1 = y \ (x \ 1).
(x \ 1) \ (y \ 1) = (y / x) \ 1.
x * ((x \ 1) * y) = L(y,x \ 1,x).
x \ (y * L(z,x \ y,x)) = (x \ y) * z.
x \ L(y,x \ 1,x) = (x \ 1) * y.
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
(x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)).
(x * y) * L(z,T(x,y),y) = y * (T(x,y) * z).
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
(K(x,y) * z) \ (K(x,y) * u) = z \ u.
(K(x,y) * z) * (z \ u) = K(x,y) * u.
L(x \ y,x,z / x) = z \ ((z / x) * y).
(x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x).
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).
R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y).
R(x,x \ 1,y) \ y = (x \ 1) * y.
(x * y) * (y \ 1) = R(x,y,y \ 1).
R(x,y / z,z) * y = (x * (y / z)) * z.
(((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u).
L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z.
(x * y) * z != u * (y * z) | R(x,y,z) = u.
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
R((x / y) / z,z,y) = x / (z * y).
R(x / y,y,y \ z) = (x * (y \ z)) / z.
R(x / (y / z),y / z,z) = (x * z) / y.
T((x * y) / (z * y),u) = R(T(x / z,u),z,y).
R(x / y,y,z) * (x * z) = (x * z) * ((y * z) \ (x * z)).
(x * y) / L(z,y / z,x) = x * (y / z).
(K(x,y) * (z * u)) / u = K(x,y) * z.
(1 / x) \ K(y,z) = x * K(y,z).
(x \ 1) * (x * y) = L(y,x,1 / x).
(x \ 1) * K(y,z) = x \ K(y,z).
(x \ 1) \ K(y,z) = x * K(y,z).
(x \ 1) \ (x \ K(y,z)) = K(y,z).
K(x,y) \ (z \ K(x,y)) = T(z \ 1,K(x,y)).
(a(x,a(y,z,u),w) * v5) \ v6 = v5 \ (a(x,a(y,z,u),w) \ v6).
L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u).
L(x \ L(y \ z,y,u),x,u * y) = ((u * y) * x) \ (u * z).
(x * (x \ y)) * z != u | y * z = u.
L(x \ 1,x,y) != z | y \ (y / x) = z.
x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u).
L((x \ 1) \ y,x \ 1,x) = x * y.
L(x,y \ 1,y) \ ((y * (y \ 1)) * x) = a(y,y \ 1,x).
L(x,(1 / y) \ 1,1 / y) = (1 / y) * (y * x).
x \ (x / ((x \ 1) * y)) = L(y,x \ 1,x) \ x.
L(x \ 1,y \ 1,y) = y * ((x * y) \ 1).
R(x / y,y,y \ 1) = x * (y \ 1).
(x \ 1) * (x * y) = L(y,x,x \ 1).
L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z).
(x \ 1) \ L(y,x,x \ 1) = x * y.
L(x \ y,x,x \ 1) = (x \ 1) * y.
L(x,y,y \ 1) \ 1 = ((y * x) \ 1) * y.
(x * (y \ x)) / (z \ x) = x / (z \ y).
(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) * z) / x = x / ((x / z) * y).
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
L(x,y,z) * x = x * L(x,y,z).
L(x / y,z,u) * y = y * L(y \ x,z,u).
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).
(x * y) * L(T(x,y),z,u) = L(x,z,u) * (x * y).
x * L(T(x \ y,y),z,u) = L(x \ y,z,u) * x.
(x * (y * L(y,z,u))) \ ((x * L(y,z,u)) * y) = a(x,L(y,z,u),y).
R(x / y,z,u) * y = y * R(y \ x,z,u).
R((x * y) / x,z,u) * x = x * R(y,z,u).
(x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y).
R(x \ 1,y,z) * x = x * R(x \ 1,y,z).
(x \ y) * R(T(x,y),z,u) = R(x,z,u) * (x \ y).
T((x * y) / (z * y),z) = R(z \ x,z,y).
R(x \ (y / z),x,z) = T(y / (x * z),x).
R(x \ y,x,x \ 1) = T(y * (x \ 1),x).
x * (y * K(y,x)) = y * x.
x * ((x \ y) * K(z,u)) = y * K(z,u).
(x / (y * K(z,u))) * y = x / K(z,u).
T(x,y) = x * K(x,y).
x \ K(x \ 1,y) = T(x \ 1,y).
x * T(x \ 1,y) = K(x \ 1,y).
T(x,y) / K(x,y) = x.
K(x,y) = x \ T(x,y).
T(x,y) \ (K(x,y) * x) = K(K(x,y),x).
T(x,y) != x * z | K(x,y) = z.
x \ T(x,y) != z | K(x,y) = z.
(x * y) \ (x * T(y,z)) = K(y,z).
x * K(x,y) != z | T(x,y) = z.
x * (y * K(x * y,z)) = T(x * y,z).
T(x,K(x,y)) = x.
T(x,y) = K(x,y) * x.
T(K(x,y),x) = K(x,y).
K(x,y) / x = x \ K(x,y).
K(1 / x,y) / x = T(1 / x,y).
K(x,y) = T(x,y) / x.
K(R(x,y,z),u) * R(x,y,z) = R(T(x,u),y,z).
x * (K(y,x) * y) = y * x.
T(x,y) \ K(x,y) = x \ 1.
K(x,y) * x != z | T(x,y) = z.
T(x \ 1,y) * x = K(x \ 1,y).
(x * y) * K(y,z) = x * T(y,z).
x \ (y * T(y \ x,z)) = K(y \ x,z).
x * T(x \ y,z) = y * K(x \ y,z).
K(x \ 1,y) / x = T(1 / x,y).
(x / y) * T(y,z) = x * K(y,z).
(a(x,y,z) * u) * K(u,w) = T(u,w) * a(x,y,z).
K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)).
K(x,y) * T(x,z) = T(x,y) * K(x,z).
K(1 / x,y) = K(x \ 1,y).
((x * K(y,z)) * u) / (T(y,z) * u) = R(x / y,T(y,z),u).
(x / y) * (y * K(z,u)) = x * K(z,u).
K(x,y) * T(z * u,K(x,y)) = z * (u * K(x,y)).
K(x,y) \ (z * (u * K(x,y))) = T(z * u,K(x,y)).
x \ (y * K(z,u)) = (x \ y) * K(z,u).
R(x,y,K(z,u)) = x.
x * (T(y,x) * K(z,u)) = (y * x) * K(z,u).
(x * (y * z)) * K(z,y) = x * (z * y).
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
x / L(x,y,z) = L(x,y,z) \ x.
x / L(y \ x,z,u) = L(x / y,z,u) \ x.
(x * y) / R(T(x,y),z,u) = R(x,z,u) \ (x * y).
T(x,a(y,z,u) \ x) = x.
(x * K(y,x)) * y = y * x.
x \ (y * (K(z,u) * x)) = T(y * K(z,u),x).
T(x * K(y,x),y) = x.
(x * y) / x = y * K(x,y).
(x / (K(y,z) * u)) * K(y,z) = x / u.
R(x,K(y,z),u) = x.
(x * (K(y,z) * u)) \ ((x * K(y,z)) * (u * w)) = L(w,u,x * K(y,z)).
(x * y) * (K(y,x) * z) = (y * x) * z.
x * (K(x,y) * z) = T(x,y) * z.
(x * K(y,z)) * y = x * T(y,z).
(x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w).
R(x,K(y,z),u) = L(x,K(w,v5),v6).
R(x,K(y,z),u) != w | x = w.
(x \ y) * K(y,x \ y) = y / x.
(x \ y) * K(x,x \ y) = y / x.
T(x,y) * K(y,T(x,y)) = x.
T(T(x * K(y,x),z),y) = T(x,z).
T(x,y) != z | z * K(y,z) = x.
((x * K(y,x)) * (y * z)) \ ((y * x) * z) = a(x * K(y,x),y,z).
K(x,y) = y \ ((x * y) / x).
x / (x / y) = y * K(x,y).
((x * y) / x) * z = y * (K(x,y) * z).
(x * y) / x = K(x,y) * y.
K(x,y) * y = y * K(x,y).
T(x,K(y,x)) = x.
T(x,y) * K(z,x) = K(z,x) * T(x,y).
K(x,y) / L(y,z,u) = L(y,z,u) \ K(x,y).
(K(x,y) * z) \ (T(x,y) * z) = T(x,K(x,y) * z).
x \ (T(x,y) * z) = K(x,y) * z.
K(x,y) * (T(x,y) \ z) = x \ z.
(x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u).
((x * y) * (K(y,z) * u)) / (T(y,z) * u) = R(x,y,K(y,z) * u).
R(x,y,z) * (K(R(x,y,z),u) * w) = R(T(x,u),y,z) * w.
T(x,y) * z != x * u | K(x,y) * z = u.
T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)).
x * (y * K(x,y)) = T(x,y) * y.
T(x * K(y,z),y) = y \ (x * T(y,z)).
(x * T(y,z)) / y = x * K(y,z).
K(T(x,y),z) * K(x,y) = T(T(x,y),z) / x.
(x \ y) * K(x,y) = y / x.
(x / T(y,z)) * K(y,z) = x / y.
K(x,y) = (x \ y) \ (y / x).
(x \ y) * (K(x,y) * z) = (y / x) * z.
K(x,y \ x) = K(y,x).
(x * y) * K(z,y) = x * T(y,z \ y).
T(x,y \ x) = x * K(y,x).
(x * K(y,z)) * z = x * T(z,y \ z).
T(x,y \ x) = (y * x) / y.
T(T(x,y \ x),y) = x.
T(T(x,y),y \ x) = x.
T(T(T(x,y \ x),z),y) = T(x,z).
T(x,y) = x * K(y \ x,x).
T(x,(y \ x) \ x) = T(x,y).
R(T(x,y \ x),y,z) = ((y * x) * z) / (y * z).
K(x \ y,y) = K(y,x).
x * K(y \ z,z) = x * K(z,y).
T(x,T(y,x)) = T(x,y).
T(T(x,y),T(z,x)) = T(T(x,z),y).
T(x,y / x) = T(x,x \ y).
T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y).
x * K(x,x \ y) = T(x,y / x).
T(x,y / x) = T(x,y).
T(x,y * x) = T(x,y).
K(x,x \ y) = K(x,y).
(x \ y) * (K(x,x \ y) * z) = (y / x) * z.
K(x,x * y) = K(x,y).
(x / T(y,z)) \ (x / y) = K(y,z).
(T(x,y) / (T(x,y) * z)) * K(x,y) = (T(x,y) / z) / x.
K(x,y / x) = K(x,x \ y).
K(x,y / x) = K(x,y).
K(x,x \ (y * x)) = K(x,y).
x * K(y,x) = y * (x / y).
K(x,T(y,x)) = K(x,y).
K(x,T(T(y,x),z)) = K(x,T(y,z)).
T(x,y) * K(y,x) = x.
T(x,y) = x / K(y,x).
K(x,y) = T(y,x) \ y.
(T(x,y) / y) \ x = T(y,x).
K(x,y) * K(y,x) = 1.
(x * T(y,z)) * K(z,y) = x * y.
T(x,y) * (K(y,x) * z) = x * z.
T(x,y) * T(y,x) = x * y.
K(x,y) = y / T(y,x).
K(x,y) * T(y,x) = y.
K(x,y) \ 1 = K(y,x).
1 / K(x,y) = K(y,x).
T(x,y) = K(y,x) \ x.
K(x,y) \ y != z | T(y,x) = z.
T(x,y) \ 1 = x \ K(y,x).
(x * K(y,z)) \ 1 = K(z,y) * (x \ 1).
K(1 / x,y) \ y = T(y,x \ 1).
T(x,y \ x) = y * (x / y).
x / (x / y) = x * (y / x).
(x * y) / x = x * (y / x).
x * ((y \ x) / x) = x / y.
x \ (x / (x / y)) = y / x.
T(x,y) / y = y \ x.
(x \ y) / x = x \ (y / x).
(x \ y) / y = y \ (y / x).
(x * (y / x)) * z = y * (K(x,y) * z).
T(x * (y / x),x) = y.
(x \ y) \ T(y,x) = x.
T(x,y) = (y \ x) * y.
T(T(x,y),z) / y = y \ T(x,z).
L(T(x,y),z,u) / y = y \ L(x,z,u).
R(T(x,y),z,u) / y = y \ R(x,z,u).
T(x \ y,x) = x \ T(y,x).
(x \ y) * x != z | T(y,x) = z.
T(T(x,y),z) / x = x \ T(T(x,y),z).
R((x \ y) / z,z,x) = T(y,x) / (z * x).
T(T(x,y \ x),z) = y * (T(x,z) / y).
T(x * y,x) = y * x.
T(x,y) != z | y * (z / y) = x.
T((x \ y) * x,x \ y) = y.
(x * (y / x)) \ x = x / y.
T(x,y) = x * K(y \ x,y).
T(x * y,y) = T(x,y) * y.
(x \ (x / y)) * (x * y) = T(x,x * y).
T((x * y) * z,R(x,y,z)) = (y * z) * R(x,y,z).
T(L(x,y \ 1,y),y) = ((y \ 1) * x) * y.
(x * (y * x)) / x = x * y.
L(x \ 1,x,y) \ y = x * y.
((x * y) \ x) * (y * x) = x.
(x * y) * x = x * (y * x).
T(T(x * y,z),x) = T(y * x,z).
(x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)).
x \ (T(y,z) \ 1) = x \ (y \ K(z,y)).
x / (x / (x / y)) = x * (x / (x * y)).
L(x \ 1,x,y) = (x \ y) / y.
x / (y * x) = x \ (x / y).
T(x \ (x / y),x) = x \ (y \ x).
T(x,y) \ y = x \ T(y,x).
K(x \ y,x) = K(y,x).
K(x * y,x) = K(y,x).
x / (x / y) = y * K(y \ x,y).
K(x \ (x * y),x) = K(y,x).
x \ ((y * x) * x) = T(y,x) * x.
x * (y * K(x,y)) = T(x * y,y).
L(x,y,x) = x.
T(x * y,x) != z | y * x = z.
a(x,y,x) = 1.
L(x,y,R(x,z,u)) = x.
L(x,y,L(x,z,u)) = x.
L(T(x,y),z,x) = T(x,y).
L(R(x,y,z),u,x) = R(x,y,z).
L(L(x,y,z),u,x) = L(x,y,z).
x * a(y,z,y) = x.
T(x * y,x) = (y * x) * a(z,u,z).
(R(x,y,z) \ 1) * x = R(x,y,z) \ x.
R(x,y,z) * (x \ 1) = R(x,y,z) / x.
(L(x,y,z) * u) * x = L(x,y,z) * (u * x).
(L(x,y,z) \ 1) * x = L(x,y,z) \ x.
L(x,y,z \ (z / (x \ 1))) = x.
L(T(x,y),z,x) = T(x,x * y).
L(R(T(x,y),z,u),w,x) = R(T(x,y),z,u).
L(L(T(x,y),z,u),w,x) = L(T(x,y),z,u).
(x \ (x / y)) * (y * x) = x.
R(x,y,x) = x.
R(x,y,x) = x * a(z,u,z).
R(x,y,x) = (x \ 1) \ 1.
R(x,y,R(x,z,u)) = x.
R(x,y,L(x,z,u)) = x.
R(x,y,T(x,z)) = x.
R(T(x,y),z,x) = T(x,y).
R(x,y,R(T(x,z),u,w)) = x.
(x * y) * R(x,z,u) = x * (y * R(x,z,u)).
(x \ 1) * R(x,y,z) = x \ R(x,y,z).
(x * y) * L(x,z,u) = x * (y * L(x,z,u)).
(x \ 1) * L(x,y,z) = x \ L(x,y,z).
(T(x,y) * z) * x = T(x,y) * (z * x).
T(x,y) \ T(y,x) = x \ T(T(y,x),x).
(x * y) \ T(x,x * y) = (y * x) \ x.
K(x \ (x * y),z) = K(y,z).
(x \ y) * ((y \ x) * x) = x.
K((x / y) \ x,z) = K(y,z).
(x \ y) \ x = (y \ x) * x.
L(K(x,y),z,u) = K((w / x) \ w,y).
T(x,y) * y != z | T(x * y,y) = z.
L(x,x \ 1,y) \ y = (x \ 1) * y.
(x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z).
(x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z).
L(x \ 1,x,y) \ (x \ y) = y.
L(x \ 1,x,y) * y = x \ y.
R(L(x \ 1,x,y),y,z) = ((x \ y) * z) / (y * z).
x * (L(x,y,z) \ 1) = x / L(x,y,z).
(x * L(x \ 1,x,y)) \ y = L(y,L(x \ 1,x,y),x).
L(T(x \ 1,y),x,y) = y \ (x \ y).
(x / T(y,z)) * y = x * K(z,y).
(x * T(y,z)) * T(z,y) = (x * y) * z.
T(x,y) \ (x * z) = K(y,x) * z.
K(x,y) * (y \ z) = T(y,x) \ z.
K(x,y) * (K(y,x) * z) = z.
T(x,y) * (z * K(y,x)) = x * T(z,K(y,x)).
K(x,y) * (z * K(y,x)) = T(z,K(y,x)).
T(x / T(y,z),K(y,z)) = K(z,y) * (x / y).
K(x,y) * (z * (u * K(y,x))) = T(z * u,K(y,x)).
x / (K(y,z) * x) = K(z,y).
K(x,y) \ z = K(y,x) * z.
x * (K(y,z) * (K(z,y) * (x \ u))) = u.
(x * K(y,z)) \ x = K(z,y).
K(x,y) * (K(y,x) / z) = z \ 1.
K(x,y) * z != u | K(y,x) * u = z.
K(x,y) \ z != u | K(y,x) * z = u.
(x * K(y,z)) * (K(z,y) * u) = x * u.
(K(x,y) * z) * K(y,x) = T(z,K(y,x)).
x / K(y,z) = x * K(z,y).
(K(x,y) * z) * u != z | T(K(y,x),z) = u.
T(x,K(y,z)) * K(z,y) = K(y,z) \ x.
(x / y) * K(z,y) = x / T(y,z).
(x \ K(y,z)) * K(z,y) = x \ 1.
(x * (y * K(z,u))) * K(u,z) = x * y.
x / K(y,z) != u | x * K(z,y) = u.
T(x * K(y,z),K(z,y)) = K(z,y) \ x.
x * K(y,z) != u | u * K(z,y) = x.
(x * K(y,z)) * K(z,y) != u | x = u.
T(x,1 / y) = T(x,y \ 1).
T(x,(y \ 1) \ 1) = T(x,y).
T(x,R(y,z,y)) = T(x,y).
T(x,L(y,K(z,u),w)) = T(x,y).
T(x,y * a(z,u,z)) = T(x,y).
T(x,L(y,K(z,u),w)) = x * K(x,y).
x \ T(x * (y / x),z) = T(y,z) / x.
T(a(x,y,z) * u,w) = T(u * a(x,y,z),w).
x / (x / (x / y)) = (x / y) * K(y,x / y).
(x * (y * K(z,u))) / u = (x * y) / T(u,z).
(x \ K(y,z)) \ 1 = K(z,y) * x.
x / T(y,z \ y) = (x / y) * K(y,z).
(x * y) / T(y,z) = x * K(z,y).
T(x,y) / T(x,z) = K(x,y) * K(z,x).
T(x \ K(y,z),K(z,y)) = K(y,z) / x.
T(x \ K(y,z),K(z,y)) = K(y,z) * (x \ 1).
(K(x,y) / z) \ 1 = z * K(y,x).
(x * K(y,z)) \ 1 = K(z,y) / x.
(x * K(y,x)) \ 1 = x \ K(x,y).
(x * (y / x)) \ 1 = y \ K(y,x).
(x \ K(x,y)) / (y \ 1) = (x / y) \ 1.
T(x,T(y * z,y)) = T(x,z * y).
K((x / y) \ x,z) != u | K(y,z) = u.
R(x,x \ 1,y) = L(x,x \ 1,y).
L(T(x \ 1,y),x,y) = (x * y) \ y.
T(x,y) != z | K(x,y) * x = z.
T(x,y) != z | x * K(x,y) = z.
x * K(y,z) != u | x / K(z,y) = u.
(x / y) * K(z,y) != u | x / T(y,z) = u.
K(x,L(y,K(z,u),w)) = K(x,y).
K(x,T(y,y * z)) = K(x,T(y,z)).
K(x,T(y,y \ z)) = K(x,T(y,z)).
K(x \ (x * y),z) != u | K(y,z) = u.
K(x \ 1,y) != z | K(1 / x,y) = z.
K((x \ y) \ y,z) != u | K(T(x,y),z) = u.
x \ (K(y,z) * (u * x)) = T(K(y,z) * u,x).
K(x,y) * ((K(y,x) * z) * u) = z * u.
((K(x,y) * (z * u)) * w) / (u * w) = R(K(x,y) * z,u,w).
K(x,y) * ((z \ 1) * u) = (K(x,y) / z) * u.
K(x,y) * (x * z) = T(x,y) * z.
K(x,y) * (T(y,x) * z) = y * z.
K(x,y) * ((y \ z) * u) = (T(y,x) \ z) * u.
K(x,y) * ((K(y,x) / z) * u) = (z \ 1) * u.
T(T(x,y) * z,K(x,y)) = x * (z * K(x,y)).
K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)).
T(x,y) * (x \ z) = K(x,y) * z.
T(x,y) * (T(y,x) * z) = x * (y * z).
K(x,y) * (z * x) = T(x,y) * T(z,x).
T(T(x,y) * z,K(x,y)) = (x * z) * K(x,y).
K(x,y) * ((x * z) * u) = (T(x,y) * z) * u.
x * (T(x,y) \ z) = K(y,x) * z.
x \ (K(y,x) * z) = T(x,y) \ z.
K(x,y) * (y * z) = y * (K(x,y) * z).
x \ (K(x,y) * z) = K(x,y) * (x \ z).
(x * T(y,z)) \ (x * (K(y,z) * u)) = L(y \ u,T(y,z),x).
T(x,y) \ (y * x) = T(T(y,x),x).
K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u).
K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u).
T(K(x * y,z) * x,y) = y \ T(x * y,z).
x \ ((y \ 1) * x) = T(y \ 1,x).
x \ ((y / z) * x) = T(y / z,x).
K(x / y,z) * ((x / y) * y) = y * T(y \ x,z).
T(((x \ 1) \ y) \ 1,z) * x = x * T(x \ (y \ 1),z).
T(T((x * y) / x,z),x) != u | T(y,z) = u.
((x * y) * T(L(z,y,x),u)) / (x * y) = T((x * (y * z)) / (x * y),u).
T(((x / y) * y) / (x / y),z) = (x * K(y,z)) / (x / y).
(K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,z).
(K(x,y) * z) \ u = z \ (K(y,x) * u).
(T(x,y) * z) \ (K(x,y) * u) = (x * z) \ u.
T(x,y) / (z \ x) = K(x,y) * z.
x / (y \ T(x,z)) = K(z,x) * y.
(K(x,y) / z) * ((z \ 1) \ u) = K(x,y) * u.
((x * y) / x) * (y \ z) = K(x,y) * z.
(x \ y) * ((T(x,z) \ y) \ u) = K(x,z) * u.
x * ((K(y,z) * x) \ u) = K(z,y) * u.
K(x,y) * (x / z) = T(x,y) / z.
T(x,y) / T(z,x) = K(x,y) * (z \ x).
K(x,y) * (T(y,x) / z) = y / z.
K(x,y) * (x \ y) = y / x.
T(x,y) \ (y \ x) = x \ (x / y).
K(x,y) * ((x \ y) * z) = (y / x) * z.
(T(x,y) / z) / (x / z) = K(x,y).
(T(x,y) / z) \ K(x,y) = (x / z) \ 1.
K(x,y) * ((x / z) * u) = (T(x,y) / z) * u.
K(x,y) * (y * x) = x * y.
(K(x,y) * z) / u = K(x,y) * (z / u).
(x * K(y,z)) * (z * y) = x * (y * z).
K(x,y) * ((y * x) * z) = (x * y) * z.
(x * y) \ (K(x,y) * z) = (y * x) \ z.
((x * y) * (z \ (x * y))) / T(x,y) = (x * y) / (y \ z).
(x * x) / (y \ x) = x / (y \ 1).
(x * y) / (z \ x) = x / (z \ (x / y)).
(x * (y \ x)) / z = x / ((x / z) \ y).
(x \ y) / (z \ y) = y / (z \ (x * y)).
(x * T(y,x)) / (z \ x) = x / (z \ (y \ x)).
((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)).
x \ ((x / y) * T(z,x)) = ((z \ x) * y) \ x.
((x \ R(x,y,z)) * u) / R(x,y,z) = R(x,y,z) / ((R(x,y,z) / u) * x).
T(x / T(y,z),y) = (y \ x) * K(z,y).
x \ T(y,z \ y) = (x \ y) * K(z,y).
(x \ y) * K(y,z) = x \ T(y,z).
(x \ T(y,z)) * K(z,y) = x \ y.
x \ (y * (z / y)) = (x \ z) * K(y,z).
(x \ (y \ z)) * K(y,z) = x \ (z / y).
(x \ (y * z)) * K(z,u) = x \ (y * T(z,u)).
x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w).
(x \ (y * z)) * K(z,y) = x \ (z * y).
T(x,y) * ((x \ z) * K(u,w)) = K(x,y) * (z * K(u,w)).
(x / y) \ T(x,z) = y * K(x,z).
(T(x,y) / y) \ T(x,z) = T(y,x) * K(x,z).
((x \ y) * y) * K(y,z) = (y \ x) \ T(y,z).
T(x \ T(y,z),K(z,y)) = K(y,z) * (x \ y).
(T(x,y) / z) \ x = z * K(y,x).
T(x,y) / (z * K(x,y)) = x / z.
x / (y * K(z,x)) = T(x,z) / y.
x / ((T(x,y) * (z \ T(x,y))) * K(y,x)) = z / T(x,y).
(x / (y * K(z,u))) * y = x * K(u,z).
(x * K(y,z)) / u = x / (u * K(z,y)).
x * K(x,y) = T(x,y).
x * T(x \ y,z) != y * u | K(x \ y,z) = u.
(x / (y * z)) * (z * y) = x * K(z,y).
(x / (y \ 1)) * (y \ K(z,u)) = x * K(z,u).
(x * (y * z)) / T(y,z) = (x * (z * y)) / y.
(x \ (y * (z * u))) * K(u,z) = x \ (y * (u * z)).
x / (K(y,z) * u) = (x / u) * K(z,y).
(x / (T(y,z) * u)) * K(y,z) = x / (y * u).
(x / (y * z)) * K(y,z) = x / (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) \ (z * (y * x)) = K(y,x) * T(z,y * x).
K(x,y) * ((x * y) \ z) = (y * x) \ z.
(x * (y * z)) \ (x * ((z * y) * u)) = L(K(z,y) * u,y * z,x).
K(x,y) * (((x * y) / x) \ z) = y \ z.
((x * y) / x) * (x * z) = y * (T(x,y) * z).
x \ (K(y,z) * T(z,u)) = (x \ T(z,u)) * K(y,z).
(x \ y) \ ((y / x) * z) = K(x,y) * z.
x \ (y * T(z,u \ z)) = (x \ (y * z)) * K(u,z).
K(x,y) * ((z \ y) \ 1) = (z \ T(y,x)) \ 1.
L(x,y,z) / x = x \ L(x,y,z).
x \ L(x * (y / x),z,u) = L(y,z,u) / x.
L(x * y,z,u) / y = y \ L(y * x,z,u).
R(T(x,y),z,u) / (x * y) = (x * y) \ R(x,z,u).
R(x * y,z,u) / y = y \ R(y * x,z,u).
T(x * (y / x),z) = x * (T(y,z) / x).
T(x,y) = (x \ (x / y)) * (x * y).
T(x,y) \ (((x \ (x / y)) * x) * y) = a(x \ (x / y),x,y).
R(x,y,z) * (x \ 1) = x \ R(x,y,z).
R(x,y,z) \ (x \ R(x,y,z)) = x \ 1.
((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) = a(x \ 1,R(x,y,z),u).
T(T(x,y) * z,x) = K(x,y) * (z * x).
K(x,y) * T(x,y) = T(T(x,y),y).
T(x,y) * T(x,y) = x * T(T(x,y),y).
K(x,y) * (T(x,y) * z) = T(T(x,y),y) * z.
(x * y) \ T(x,y) = (y * x) \ x.
T(x,y) = (x * y) * (x \ (y \ x)).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
x \ (L(x,y,z) \ x) = L(x,y,z) \ 1.
T(x,K(y,z)) \ (K(z,y) * u) = (x * K(y,z)) \ u.
(x * K(y,z)) \ u = K(z,y) * (x \ u).
K(x,y) * ((y \ x) \ z) = (x / y) \ z.
(x * y) / (K(z,u) * y) = x * K(u,z).
(K(x,y) * z) / K(x,y) = T(z,K(y,x)).
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
(x \ (K(y,z) * u)) * K(z,y) = x \ T(u,K(z,y)).
(K(x,y) * z) * (K(y,x) * u) = T(z,K(y,x)) * u.
T(T(x,K(y,z)),K(z,y)) = x.
x * K(K(y,z),x) = T(x,K(z,y)).
T(x,K(y,z)) != u | T(u,K(z,y)) = x.
K(K(x,y),z) = K(z,K(y,x)).
K(x,y) * K(z,K(y,x)) = T(K(x,y),z).
K(x,K(y,z)) * (K(x,K(z,y)) * u) = u.
T(x * (y * K(z,u)),K(u,z)) = K(z,u) * (x * y).
T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u.
T(x \ K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) / x,u).
(x \ K(x,y)) / (y \ 1) = (y \ 1) \ (x \ 1).
K(x,y) * (y * (x * z)) = y * (T(x,y) * z).
x \ (T(x,y) * T(z,x)) = T(K(x,y) * z,x).
(x \ y) \ (K(y,x) * z) = (y / x) \ z.
((x * y) / x) \ (y * z) = y \ (T(y,x) * z).
(K(x,y) * z) \ (T(x,y) * z) = T(x,z).
T(x,y) \ ((y \ x) * z) = x \ ((x / y) * z).
T(x * K(y,z),z * y) = (z * y) \ (x * (y * z)).
((x * y) * z) / (z * y) = R(x,y,z) * K(y,z).
K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y).
K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y).
(x \ (y * z)) \ (x \ (z * y)) = K(z,y).
T(x / T(y,z),y) / u = (y \ x) / (u * K(y,z)).
(x * K(y,z)) / (u * z) = x / (u * T(z,y)).
(x * y) \ ((y * x) * (x \ z)) = T(x,y) \ z.
T(x,y) * ((x * y) \ z) = x * ((y * x) \ z).
K(R(x,y,z),y * z) * (((x * y) * z) \ u) = ((y * z) * R(x,y,z)) \ u.
T((x * y) \ z,K(y,x)) = ((y * x) \ z) * K(y,x).
(R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u).
(x \ R(x,y,z)) \ (R(x,y,z) * ((x \ 1) * u)) = L(u,x \ 1,R(x,y,z)).
(x \ R(x,y,z)) \ 1 = x * (R(x,y,z) \ 1).
T(T(x,y) * (K(z,u) * w),x) = K(x,y) * (K(z,u) * (w * x)).
K(x,y) * ((z \ 1) \ u) = (z \ K(y,x)) \ u.
K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z.
K(x,y) * (((y \ x) \ z) * u) = ((x / y) \ z) * u.
(x * (y \ z)) / (z / y) = x * K(z,y).
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
T(x * K(y,z),y / z) = (y / z) \ (x * (z \ y)).
a(x,y,z) \ ((x * y) * z) = x * (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) * a(x,y / z,z) = (x * (y / z)) * z.
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
x * ((x \ y) * L(x,z,u)) = y * L(x,z,u).
L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))).
x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)).
x * R(y,y \ z,u) = x * ((z * u) / ((y \ z) * u)).
R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z).
x / (y * ((z * y) \ x)) = R(z,y,y \ x).
x \ R(x,y,y \ 1) = a(x,y,y \ 1).
x * a(x,y,y \ 1) = R(x,y,y \ 1).
x * R(x,y,y \ x) = (x * y) * (y \ x).
x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x).
L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z).
L(x \ 1,x,y) \ (z * (y \ (y / x))) = T(z,y \ (y / x)).
(x * ((x \ y) * y)) / y = L(y,x \ y,x).
x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z).
x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u.
((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x.
a(x,y,y \ z) * (x * z) = (x * y) * (y \ z).
((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u.
L(x,y,z) \ (u * x) = (L(x,y,z) \ u) * x.
x \ (y * L(x,z,u)) = (x \ y) * L(x,z,u).
(a(x,a(y,z,u),w) \ v5) \ v6 = v5 \ (a(x,a(y,z,u),w) * v6).
L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u).
L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w).
L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w).
L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z.
(a(x,a(y,z,u),w) * v5) / v6 = a(x,a(y,z,u),w) * (v5 / v6).
x * (((y * x) \ 1) * y) = L(x,y,y \ 1) \ x.
T((x * (T(y,z) \ u)) / (K(z,y) * u),y) = R(y \ x,y,T(y,z) \ u).
T((x * y) * (x \ 1),x) = R(y,x,x \ 1).
R(x \ (y / x),x,x) = T(y,x) / (x * x).
L(T(x,y),y \ 1,y) = ((y \ 1) * x) * y.
(x * y) / R(T(x,z),u,w) = x * (y / R(T(x,z),u,w)).
(x \ 1) \ L(T(x \ 1,y),z,u) = x * L(T(x \ 1,y),z,u).
L(T(L(x,y,z),u),w,x) = L(T(x,u),y,z).
T(T(x / y,z),y) != u | T(y \ x,z) = u.
T(T(x * y,z),x) != u | T(y * x,z) = u.
T((x * y) * z,x * (y * z)) = (x * y) * z.
a(x,y,z) = R((((x * y) * z) / (y * z)) / x,x,y * z).
((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z).
(((x / (y * z)) * y) * z) / x = a(x / (y * z),y,z).
R(x,y,y \ z) \ z = y * ((x * y) \ z).
T(x,y) / (y * y) = T(x / (y * y),y).
T((x * x) * y,x) = (x * x) * T(y,x).
T((x * x) * (x * y),x) = (x * x) * (y * x).
T((x \ 1) * y,x) = (x \ 1) * T(y,x).
(x * y) * L(T(x,y),z,u) = x * (L(x,z,u) * y).
L(T(x,y),z,u) != w | T(L(x,z,u),y) = w.
R(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)).
(x * y) \ (x * z) != u | L(y \ z,y,x) = u.
L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w).
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(R(x / y,y,y \ z),u,w) * z = z * L(z \ (x * (y \ z)),u,w).
(L(x \ 1,y,z) * (x * u)) \ ((x * L(x \ 1,y,z)) * u) = a(L(x \ 1,y,z),x,u).
x * R(x \ (y \ z),x,y) = (T(z,y) / (x * y)) * x.
x * (T(y,x) * K(x,z)) = y * T(x,z).
x * (T(y,x) * K(z,u)) = y * (x * K(z,u)).
x \ (y * (x * K(z,u))) = T(y,x) * K(z,u).
T(x * K(y,z),y) = T(x,y) * K(y,z).
x \ T(y * K(z,u),z) = (x \ T(y,z)) * K(z,u).
T(T(x,y),K(y,z)) = T(x,T(y,z)).
T(T(x,K(y,z)),y) = T(x,T(y,z)).
T((x * y) / x,T(x,z)) = T(y,K(x,z)).
T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)).
(T(x,y) * (T(T(y,x),z) * u)) \ ((T(y,z) * T(x,y)) * u) = a(T(x,y),T(T(y,x),z),u).
(L(x,y,z) * (u / x)) * x = L(x,y,z) * u.
(L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x).
x / (x / (x / y)) = y * ((x / y) / y).
x * ((y / x) / x) = y * (y / (y * x)).
T(x * (x / (x * y)),y) = x / y.
(x * (y * T(z,u))) / T(z,u) = (x * (y * z)) / z.
T(K(x,y) * z,y \ x) = (x / y) \ (z * (y \ x)).
(K(x,y) / z) * L(z,u,w) = K(x,y) * (z \ L(z,u,w)).
(T(x,y) \ z) * T(x,z) = K(y,x) * z.
T(x,T(x,y) \ z) = T(x,z).
T(x * y,K(y,z)) = y * T(x,T(y,z)).
x * T(y / x,T(x,z)) = T(y,K(x,z)).
T(x * y,K(x,z)) = x * T(y,K(x,z)).
T(x,K(y,z)) / y = T(x / y,K(y,z)).
T(x * y,K(y,z)) / y = T(x,K(y,z)).
T(x * y,K(y,z)) = T(x,K(y,z)) * y.
T(a(x,y,z) * u,K(u,w)) = a(x,y,z) * u.
T(x,y) \ ((T(x,y) * z) * u) = x \ ((x * z) * u).
K(x,y) * (x \ ((x * z) * u)) = x \ ((T(x,y) * z) * u).
(T(x,y) * z) \ (x * y) = (x * z) \ (y * x).
(x * y) / (z \ y) = y / (z \ (x \ y)).
(x \ ((x / y) * z)) * K(z,x) = ((z \ x) * y) \ x.
T(x,y) / (z \ (u * T(x,y))) = x / (z \ (u * x)).
(T(x,y) / y) \ T(x,z) = T(y * K(x,z),x).
(x \ y) \ T(x,z) = (y \ x) * T(x,z).
((x * y) * (z \ (x * y))) / T(x,y) = (((x * y) / z) * (y * x)) / x.
(x / (x / y)) * ((x / y) * z) = y * (T(x / y,y) * z).
L(x * (y / x),z,u) = x * (L(y,z,u) / x).
T(x \ 1,y \ 1) = x \ K(x,y).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
T(K(x,y) * (x / z),x) = K(x,y) * (z \ x).
T(K(x,y) * z,x) * u = K(x,y) * (T(z,x) * u).
((x * y) / x) \ (y * z) = K(y,x) * z.
(x * (y / x)) \ (y * z) = K(y,x) * z.
(x * (y / x)) * ((y / x) \ z) = y * ((x \ y) \ z).
(x \ K(y,z)) \ (u \ 1) = K(z,y) * ((u / x) \ 1).
(x \ K(y,z)) \ K(u,w) = K(z,y) * (x * K(u,w)).
T(x,y * (z * ((y * z) \ x))) = (y * z) * ((y * z) \ x).
a(x,y,z) * (u * K(w,v5)) = u * (a(x,y,z) * K(w,v5)).
T(T(x,K(y,z)),z * y) = T(x,y * z).
T(K(x,y) / z,x * y) = T(z \ K(x,y),y * x).
T(a(x,y,z) * u,K(w,u)) = a(x,y,z) * u.
(x * (T(y,x) * z)) \ (y * x) = (x * (y * z)) \ (x * y).
T(x * K(y,z),y) = (x \ y) \ T(y,z).
x \ L(x * (y / x),z,u) != w | L(y,z,u) / x = w.
L(T(x,y \ x),z,u) = y * (L(x,z,u) / y).
L(x * (((y \ z) \ u) / x),y \ z,y) = x * ((z \ (y * u)) / x).
T(T(x,y) / z,x) = K(x,y) * (z \ x).
T(x \ T(y,z),K(z,y)) = T(T(y,z) / x,y).
T(x,y) / T(z,x) = T(T(x,y) / z,x).
T(R(T(x,y),z,u) / w,R(x,z,u)) = K(R(x,z,u),y) * (w \ R(x,z,u)).
T(a(x,y,z) * u,T(w,u)) = T(a(x,y,z) * u,w).
L(T(x,y \ x),z,u) = (y * L(x,z,u)) / y.
L(x * K(y,x),z,u) = (y * L(x,z,u)) / y.
L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z).
L(x,y,z / (y * x)) = z \ ((z / y) * (y * x)).
R(x,y,(x * y) \ z) = R(x,y,y \ z).
R(x,y,(x * y) \ x) = x / (y * L(y \ 1,y,x)).
R(x,y,L(y \ z,y,x)) = R(x,y,y \ (x * z)).
R(x,y,y \ ((x * z) * (z \ y))) = R(x,y,a(x,z,z \ y)).
K(x * y,L(T(z,y),z \ y,x)) = K(x * (z \ y),x * y).
(x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)).
((((x * y) * z) / (x * y)) * y) * T(x,y) = (x * y) * R(z,y,T(x,y)).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
(1 / x) \ T((1 / x) * y,z) = x * T(((1 / x) \ 1) \ y,z).
R(T(T(x,y) * z,K(x,y) \ (T(x,y) * z)),K(x,y),u) = ((T(T(x,y),y) * z) * u) / (K(x,y) * u).
(x * y) * L(z,x,y) = y * (T(x,y) * z).
L(x,y,z) = (y * z) \ (z * (T(y,z) * x)).
x * (T(y,x) * T(z,y * x)) = L(z,y,x) * (y * x).
L(T(x,y) \ z,x,y) = (x * y) \ (y * z).
L(x,T(y,z),z) = L(x,y,z).
(T(x,y) * T(z,x)) * L(u,T(x,y),T(z,x)) = T(z,x) * (T(T(x,z),y) * u).
L(T(x \ 1,y),T(x,y),y) = (x * y) \ y.
(x * x) \ (x * y) = L(x \ y,x,x).
T(x \ 1,y) = T(x,y) \ 1.
T(x \ 1,y) = x \ K(y,x).
(x * y) * T(x \ 1,y) = (y * x) * (x \ 1).
K(x,y) = y * T(y \ 1,x).
T(L(x,y,z) \ 1,u) = L(T(x,u),y,z) \ 1.
T(R(x,y,z) \ 1,u) = R(T(x,u),y,z) \ 1.
T((x / y) \ 1,y) = (y \ x) \ 1.
T((x / y) \ 1,x) = (y \ x) \ 1.
x / L(T(y \ 1,z),T(y,z),x) = x * T(y,z).
K(x,y) * T(z \ 1,u) = K(x,y) / T(z,u).
T(x \ 1,y) * (z \ 1) = (z * T(x,y)) \ 1.
(x \ 1) * T(y \ 1,z) = (T(y,z) * x) \ 1.
T(x \ 1,y) / (z \ 1) = (z \ T(x,y)) \ 1.
(x \ 1) \ T(y \ 1,z) = (T(y,z) / x) \ 1.
x \ T(y \ 1,z) = x \ (y \ K(z,y)).
K(x \ 1,y) = K(y,x).
T(x \ 1,y \ x) = x \ K(x,y).
K(x,y) = T(y \ 1,x) * y.
K(x,y \ 1) = K(y,x).
K(K(x,y) * z,u) = K(u,z \ K(y,x)).
T(x,y \ 1) = x * K(y,x).
T(x,y \ 1) = T(x,y \ x).
T(x,y \ 1) = (y * x) / y.
T(x,y \ 1) = y * (x / y).
T(T(x,y),y \ 1) = x.
T(x \ y,x \ 1) = y / x.
x \ T(y,x \ 1) = y / x.
T(T(x,y \ 1),y) = x.
T(x,y \ 1) * y = y * x.
T(x * y,y) = x * T(y,x \ 1).
T(x * (y \ 1),y) = (y \ 1) * x.
T((x \ 1) \ y,x) = y / (x \ 1).
T(x,y) = ((y \ 1) * x) / (y \ 1).
T(x,y) * (y \ 1) = (y \ 1) * x.
(x \ 1) \ T(y,x) = y / (x \ 1).
T(x,a(y,z,u) \ 1) = x.
T(x,y \ 1) \ y = y / x.
T(x * y,y \ 1) = y * x.
(a(x,y,z) \ 1) / u = u \ (a(x,y,z) \ 1).
x / (a(y,z,u) \ 1) = (a(y,z,u) \ 1) \ x.
(x \ y) * T(y,x \ 1) = y * (x \ y).
T(x * y,x \ 1) = T(x * y,y).
T(x,T(y \ 1,z)) = T(x,T(y,z) \ x).
T(T(T(x,y \ 1),z),y) != u | T(x,z) = u.
((x \ 1) * y) / x = x \ (y * (x \ 1)).
(x / y) / (y \ 1) = (y \ 1) \ (y \ x).
(x / y) \ ((y \ 1) \ (y \ x)) = (y \ x) \ ((y \ x) / (y \ 1)).
T((x * y) \ z,y \ 1) = L((x \ z) / y,y,x).
T(x * y,R(z,x,y) \ 1) \ ((z * x) * y) = R(z,x,y).
(x \ K(x,y)) * y = y * (x \ 1).
x / (y / (x \ 1)) = ((x \ 1) \ y) \ x.
x / ((x \ 1) * y) = (y * (x \ 1)) \ x.
x / ((x \ y) \ 1) = ((y / x) \ 1) \ x.
((x / y) \ 1) * x = x * ((y \ x) \ 1).
T((x \ 1) * y,y) = (x \ 1) * T(y,x).
(x \ 1) * (x * y) = R(y,x,x \ 1).
T(x * L(x \ y,z,u),L(y / x,z,u) \ 1) = T(L(y / x,z,u) * x,x).
R(x,y,y \ 1) = L(x,y,y \ 1).
x * a(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 \ L(x,y,y \ 1) = a(x,y,y \ 1).
(x * y) \ L(x,y,y \ 1) = y \ 1.
L(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1).
R(x,y,y \ L(x,y,y \ 1)) = R(x,y,y \ 1).
x \ ((y * (x \ 1)) \ x) = L(y,x \ 1,x) \ x.
T(x,T(((y \ 1) * z) \ 1,z)) = T(x,((y \ 1) * T(z,y)) \ x).
(x * y) * T(x \ 1,y) = L(y,x,x \ 1).
T(R(x,y,z) \ 1,x) = R(x,y,z) \ 1.
x \ ((R(x,y,z) \ 1) * x) = R(x,y,z) \ 1.
x \ (R(x,y,z) \ x) = R(x,y,z) \ 1.
x * (R(x,y,z) \ 1) = R(x,y,z) \ x.
(x \ R(x,y,z)) \ 1 = R(x,y,z) \ x.
(R(x,y,z) \ x) \ 1 = x \ R(x,y,z).
R(x,y,a(x,z,z \ y)) \ ((x * z) * (z \ y)) = y * a(x,z,z \ y).
x * a(x,1 / y,y) = (x * (1 / y)) * y.
x * a(x,y \ 1,y) = (x * (1 / y)) * y.
x * a(x,y \ 1,y) = (x * (y \ 1)) * y.
(x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y).
a(R(x \ 1,y,z),x,x \ u) * (R(x \ 1,y,z) * u) = (x * R(x \ 1,y,z)) * (x \ u).
L(x \ y,x,x \ 1) \ (x \ y) = (x \ y) * ((y \ 1) * x).
x \ (y * z) != y * ((u * y) \ (y * z)) | R(u,y,z) = x.
L(x,y,z / (y * x)) = L(x,y,z / y).
x / L(y,z,x / z) = (x / (z * y)) * z.
L((x \ y) / z,z,x) = z * (((x * z) \ y) / z).
R(x,y,y \ L(x,y,y \ 1)) = L(x,y,y \ 1).
(x * (y \ 1)) * y = L(x,y \ 1,y).
x * a(x,y \ 1,y) = L(x,y \ 1,y).
((x * (y \ 1)) * y) \ 1 = L(x \ 1,y,y \ 1).
L(x \ 1,y,y \ 1) = L(x,y \ 1,y) \ 1.
x * L(x \ 1,y,y \ 1) = L(x,y \ 1,y) \ x.
(x * a(y,z,u)) \ (T(x,w) * a(y,z,u)) = K(x,w).
((x * y) * (K(z,u) * w)) / ((y * K(z,u)) * w) = R(x,y * K(z,u),w).
T(x,K(x,y) * z) = T(x,z).
K(x,K(x,y) * z) = x \ T(x,z).
T(x,K(y,x) * 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(x,K(x,y) * z) = K(x,z).
K(x,(y * x) * z) = K(x,(x * y) * z).
T(x,L(y \ z,y,u)) = T(x,T(u * y,x) \ (u * z)).
x * L(x \ 1,y,y \ 1) = a(x \ 1,y,y \ 1).
(L(x \ 1,y,z) \ 1) / ((x \ 1) \ 1) = (x * L(x \ 1,y,z)) \ 1.
L(R(x \ 1,y,z),x,y) = ((x \ y) * z) / (y * z).
K(x / y,z) * x = y * T(y \ x,z).
K(x / y,z) * x = x * K(y \ x,z).
T(K(x / y,z),x) = K(y \ x,z).
K((x * y) / x,z) * (x * y) = x * T(y,z).
K((x \ y) \ y,z) = T(K(x,z),y).
K(T(x,y),z) = T(K(x,z),y).
T(K(x,y),z) != u | K(T(x,z),y) = u.
x \ (K(y,z) * x) = K(T(y,x),z).
(K(x,y) * z) * K(y,T(x,z)) = z.
K(x,T(y,z)) = T(K(x,y),z).
(K(x,y) * z) \ z = K(y,T(x,z)).
(x * (K(y,z) * u)) \ (x * u) = K(z,T(y,u)).
x * K(y,T(z,x)) = K(y,z) * x.
K(T(x,y),z) = K(x,T(z,y)).
K(x,y) * K(z,K(y,x)) = K(x,T(y,z)).
K(x / y,T(z,x)) = K(y \ x,z).
K(x,T(y,z)) / z = z \ K(x,y).
T(K(x,y),y * z) = K(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
T(x \ 1,T(y,z)) = x \ K(y,T(x,z)).
K(x / y,T(z,y)) = K(y \ x,z).
T(x,T(y,z) \ x) = x * K(y,T(x,z)).
K((x \ y) * x,z) = K(y,T(z,x)).
K(x,(y \ z) * y) = K(T(x,y),z).
K(x * y,T(z,x)) = K(y * x,z).
K(T(x,y),T(y * z,u)) = K(x,T(z * y,u)).
T(x / T(y,T(z,u)),y) = (y \ x) * K(z,T(y,u)).
K(x,T(y,z)) * K(x,z) = T(T(x,z),y) / x.
x * (y * K(z,T(u,x * y))) = K(z,u) * (x * y).
(x \ y) * K(z,T(u,y)) = x \ (K(z,u) * y).
K(x,y / z) * z = z * K(x,z \ y).
K(x,y / z) * y = y * K(x,z \ y).
x * (K(y,T(z,x)) * u) = (K(y,z) * x) * u.
(x * K(y,T(z,x))) / u = K(y,z) * (x / u).
x \ (y * (K(z,u) * x)) = T(y,x) * K(z,T(u,x)).
K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)).
K(R(x / y,y,y \ z),T(u,z)) = K(z \ (x * (y \ z)),u).
K(x,(y \ z) * y) = K(x,T(z,y)).
K(x * y,K(y,z)) = K(y * x,K(y,z)).
K(x * y,z) * x = x * K(y * x,z).
K(x * y,z) / y = y \ K(y * x,z).
K(x,T(y * z,y)) = K(x,z * y).
K(x,a(y,z,u) * w) = K(x,w * a(y,z,u)).
K(x,y) * (K(z,K(y,x)) * u) = K(x,T(y,z)) * u.
(x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)).
(K(x,y / z) * T(z,u)) / K(x,y / z) = T((z * K(x,z \ y)) / K(x,y / z),u).
x * (y * K(x,z \ y)) = T(x,y / z) * y.
(x \ y) * K(x * (x \ y),z) = K(y,T(z,x)) * (x \ y).
K(L(x,y,z) * u,x) = K(u * L(x,y,z),x).
T(x,y * T(z,x)) = T(x,y * z).
T(x,y * (z * x)) = T(x,y * (x * z)).
(x * (K(y,z) * (x \ u))) \ u = K(z,T(y,x \ u)).
(T(x,y) * z) \ (x * z) = K(y,T(x,z)).
(x * y) \ (T(x,z) * y) = K(x,T(z,y)).
L(K(x,T(y,z)),T(y,x) * z,u) = (u * (T(y,x) * z)) \ (u * (y * z)).
K(x,T(y,z)) * K(x,z) = x \ T(T(x,z),y).
(x \ y) * K(z,T(x,y)) = T(x,z) \ y.
x * (K(y,T(z,x)) * u) = K(y,z) * (x * u).
K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u).
x \ (K(y,z) * (x * u)) = K(y,T(z,x)) * u.
K(x * y,K(x,z)) = K(y,K(x,z)).
K(x * y,K(y,z)) = K(x,K(y,z)).
(x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)).
K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u).
K(x * y,z) * (x * u) = x * (K(y * x,z) * u).
K(x,T(y,z)) * (z \ u) = (K(y,x) * z) \ u.
x \ (K(y,z) * (u * x)) = K(y,T(z,x)) * T(u,x).
x \ (K(y,z) * (x * u)) = T(K(y,z),x) * u.
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)) * (K(z,K(x,y)) * u) = u.
K(x,K(y,z)) * (K(y,K(z,x)) * u) = u.
K(x,y) * K(x,K(y,z)) = K(x,T(y,z)).
K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u.
(x / (K(y,z) * u)) * K(y,K(z,u)) = x / (u * K(y,z)).
K(x,K(y,z)) = K(z,K(x,y)).
K(x,K(y,z)) = K(y,K(x,z)).
x * K(y,K(z,x)) = T(x,K(y,z)).
K(K(x,y),z) = K(z,K(x,y)).
K(x,K(y,z)) = K(x,K(z,y)).
K(x,K(y,z)) * z = T(z,K(x,y)).
T(K(x,K(y,z * u)) * z,u) = u \ T(z * u,K(x,y)).
K(x,K(y,z)) * x = T(x,K(z,y)).
K(x,K(y,z)) * y = T(y,K(x,z)).
K(x,K(y,z)) * (K(x,K(y,z)) * u) = u.
x * K(y,K(x,z)) = T(x,K(y,z)).
K(x,K(y,z \ y)) = K(x,K(y,z)).
T(x,K(y,z)) = T(x,K(z,y)).
T(x * K(y,z),K(y,z)) = K(y,z) * x.
T(T(x,K(y,z)),K(y,z)) = x.
(K(x,y) * z) / K(x,y) = T(z,K(x,y)).
K(x,y) * (z * K(y,x)) = T(z,K(x,y)).
T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1).
K(x,y) * T(T(z,K(y,x)),u) = T(z,u) * K(x,y).
T(x,K(y,z)) * K(y,z) = K(y,z) * x.
T(x,y) * (z * K(y,x)) = x * T(z,K(x,y)).
T(T(x,K(y,z)),y * z) = T(x,z * y).
T(K(x,y),z) * z = z * K(x,y).
T(T(x,K(y,z)),T(y,z)) = T(x,y).
T(x,K(y,z)) != u | T(x,K(z,y)) = u.
T(K(x,y),z) * (T(K(x,y),u) \ x) = K(K(x,y),z) * T(x,K(u,y)).
K(x,K(y,z \ y)) = K(x,K(z,y)).
T(K(x,y) * z,z) = z * K(x,y).
T(K(x,T(y,z)),z) = K(x,y).
(K(x,y) * z) * z = z * (z * K(x,y)).
K(T(x,y),z) * y = y * K(x,z).
K(x,T(y,z)) * z = z * K(x,y).
K(T(x,y),T(z,y)) = K(x,z).
x * (K(y,z) / x) = K(y,T(z,x)).
(x * K(y,z)) / x = K(y,T(z,x)).
K(x,T(T(y,z),z)) = K(x,y).
K(x \ y,T(z,y)) = K(y / x,z).
K(x,T(y * z,z)) = K(x,z * y).
K(x \ y,T(z,x)) = K(y / x,z).
K((x * y) / x,z) = K(y,T(z,x)).
T(T(x,y),T(z,y)) = K(x,z) * T(x,y).
K(x * (y / x),z) = K(y,T(z,x)).
K(x * y,T(z,y)) = K(y * x,z).
T(x,T(y,z)) * z = (x * z) * K(x,y).
K(x,T(T(y \ z,u),y)) = K(x,T(z / y,u)).
K(x,T(y,z)) * (z * u) = z * (K(x,y) * u).
T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x).
T(T(x,T(y,z) \ x),y) = T(x,K(y,z)).
K(x,y) * (z * z) = z * (z * K(x,y)).
T(T(x,y) * z,x * z) = (x * z) * K(x,y).
K(x,y) * K(x,z) = K(x,z) * K(x,y).
x / (x * K(y,z)) = K(z,T(y,x)).
T(x,y * K(z,x)) = T(x,y).
T(x,y \ T(x,z)) = T(x,y \ x).
T(x,T(y,z)) * z = x * (z * K(x,y)).
K(x,K(y,z)) * K(y,z) = K(y,T(z,x)).
T(K(x,T(y,z)),z) != u | K(x,y) = u.
K(x,y \ z) * K(z / y,x) = K(z,K(x,y \ z)).
K((x * y) / x,z) != u | K(y,T(z,x)) = u.
K((x * y) / x,z) = K(T(y,x),z).
K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)).
K(x * (y \ z),T(y,z)) = K((y \ z) * x,y).
x \ T(y,z \ T(y,u)) = (x \ y) * K(z,y).
K(T(x,y),z) * (y * x) = y * T(x,z).
K(x,T(T(y,z),z)) != u | K(x,y) = u.
T(K(x,y),z) != u | K(x,T(y,z)) = u.
K(x,T(y \ z,y)) != u | K(x,z / y) = u.
K(x \ y,T(z,x)) != u | K(y / x,z) = u.
K(x / y,T(z,x)) != u | K(y \ x,z) = u.
K(T(x,y),z) != u | K(x,T(z,y)) = u.
T(x * T(y,z),K(y,z)) = K(y,z) * (x * y).
T(x * (y * K(z,u)),K(z,u)) = K(z,u) * (x * y).
K(x,y) * (T(z,K(y,x)) * u) = (z * K(x,y)) * u.
(x \ T(y,K(z,u))) * K(z,u) = x \ (K(z,u) * y).
T(x,K(y,z)) * (K(y,z) * u) = (K(y,z) * x) * u.
T(T(x,y * z),K(y,z)) = T(x,z * y).
T(x,T(y,K(z,x))) * K(z,x) = ((z * x) / z) * K(x,y).
T(x * K(y,T(x,z)),y) = T(x,K(y,z)).
T(x * x,K(y,z)) = x * x.
K(x,K(y,z * z)) = 1.
T(x,K(y,z * z)) = x.
K(x,y) * K(x,T(z,y)) = x \ T(T(x,y),z).
K(x,T(y,z)) / K(x,y) = K(x,K(y,z)).
T(x,T(y \ z,z)) = T(x,z / y).
T(x,y / (y / z)) = T(x,T(z,y)).
T(x,T(y \ z,y)) = T(x,z / y).
T(x,(y * z) / y) = T(x,T(z,y)).
T(x,(y * T(z,u)) / y) = T(x,T(T(z,y),u)).
(x * T(y,z)) * ((x * y) \ u) = K(T(y,x),z) * u.
T((x * y) / z,y * x) = T(z \ (x * y),K(x,y)).
T(x,y) * K(y,T(x,z)) = T(x,K(y,z)).
T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)).
K(x,T(y,z)) * K(y,x) = K(x,K(y,z)).
K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u.
K(x * (y / x),z) != u | K(y,T(z,x)) = u.
x \ ((K(y,z) * x) * u) = T(K(y,z),x) * u.
K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)).
x * (K(y,z) * (x \ u)) = K(y,T(z,x)) * u.
T(T(x,y) * z,x * z) = x * (z * K(x,y)).
T(x,T((y * z) / y,u)) = T(x,T(T(z,y),u)).
T(x * K(y,x),K(z,y)) = x * K(y,T(x,z)).
T(K(x,y),z) * T(u,K(x,y) * z) = z \ (u * (K(x,y) * z)).
T(x,T(T(T(y,z),z),u)) = T(x,T(y,u)).
(x * y) \ (x * ((y * z) * K(u,w))) = L(z,y,x) * K(u,w).
x \ (y * (z * (u / z))) = (x \ (y * u)) * K(z,u).
T(x,K(y,z)) \ (K(z,y) * u) = K(z,y) * (x \ u).
(x * y) \ T(z,K(y,x)) = ((y * x) \ z) * K(y,x).
K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u).
T(x * K(y,z),z * y) = K(y,z) * T(x,y * z).
T((x \ y) \ z,K(y,x)) = ((y / x) \ z) * K(x,y).
(x * (y * ((x * y) \ z))) \ z != u | a(x,y,(x * y) \ z) = u.
x * (T(y,x) * T(y,x)) = y * (L(y,y,x) * x).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u).
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u.
L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u.
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 \ 1) = L(x,y,z).
(x \ 1) * L(T(x,1),y,z) = x \ L(x,y,z).
(x * (L(x,y,z) \ 1)) \ 1 = x \ L(x,y,z).
(x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)).
x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x \ L(x,y,z),x).
L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u).
(x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z).
(L(x,y,z) \ x) \ 1 = x \ L(x,y,z).
(x \ L(x,y,z)) \ 1 = L(x,y,z) \ x.
(L(x,y,z) \ T(x,u)) \ 1 = K(u,x) * (x \ L(x,y,z)).
L(x \ y,x,x \ 1) \ (x \ y) = ((x \ y) \ ((x \ 1) * y)) \ 1.
L(x,y,y \ 1) \ x = a(x,y,y \ 1) \ 1.
T(K(x,y) * z,y \ x) = T(z * K(x,y),x / y).
(T(x,y) * z) * L(u,z,x) = T(x,y) * (z * u).
L(x,y,T(z,u)) = L(x,y,z).
L(L(x,y,z),u,K(w,v5)) = L(x,y,T(z,v6)).
L(x,y,z / u) = L(x,y,u \ z).
L(x,y,(z * u) / z) = L(x,y,u).
L(x,y,z * K(u,z)) = L(x,y,z).
L(x,y,z * u) = L(x,y,u * z).
L(x,y,z \ (z / u)) = L(x,y,z \ (u \ z)).
L(x,y,(z / u) \ 1) = L(x,y,(u \ z) \ 1).
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.
L(x,y,(z * u) / z) = (u * y) \ (u * (y * x)).
L(x,y,z * K(u,z)) = (y * z) \ (z * (T(y,z) * x)).
L(x \ 1,x,y * z) = (z * y) \ ((z * y) / x).
L(x,y,T(z,u)) != w | L(x,y,z) = w.
L(x,y,z * u) != w | L(x,y,u * z) = w.
T(x,L(y \ z,y,y \ u)) = T(x,T(u,x) \ ((u / y) * z)).
((x / y) * (y * x)) / x = L(x,y,y \ x).
(x \ y) * L(x,z,z \ y) = x \ ((y / z) * (z * x)).
x / ((x / (y * x)) * y) = L(x,y,y \ x).
x / ((x \ (x / y)) * y) = L(x,y,y \ x).
L(x,y,z \ ((x \ 1) \ z)) = x.
L(x,y,(z \ K(u,z)) \ ((x \ 1) \ T(z \ 1,u))) = x.
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,y,L(z,x,y)) = L(x,y,x * z).
((x \ y) * z) \ T(y,x) = y \ ((y / z) * x).
(K(x,y) * (T(z,x) * (u * w))) \ ((T(K(x,y) * z,x) * u) * w) = a(T(K(x,y) * z,x),u,w).
(x / y) * (((y \ x) / x) \ z) = (y \ x) * ((x \ (y \ x)) \ z).
(x \ K(y,z)) \ (u \ 1) = K(z,y) / (u / x).
T((x \ 1) * K(y,z),z * y) = T(K(y,z) / x,y * z).
x / (y * L(y \ 1,y,x)) = R(x,y,L(y \ 1,y,x)).
x \ T((y \ K(y,x)) * x,z) = (x \ 1) * T((x \ 1) \ (y \ 1),z).
T(((x \ 1) \ y) \ 1,z) * ((x \ 1) \ 1) = (x \ T(x * y,z)) \ 1.
a(x \ 1,y,y \ 1) = L(x,y \ 1,y) \ x.
T(x * y,((z \ x) * y) \ 1) \ ((z \ x) * y) = L(R(z \ 1,x,y),z,x).
L(R(x \ 1,y,T(y,x \ 1)),x,y) = (y * (x \ y)) / (y * T(y,x \ 1)).
T(x / T(y,T(z,x)),y) = T(y,z) \ x.
T(T(x,y) / T(z,x),z) = T(z,x) \ T(x,y).
T(T(T(x,y) / z,x),z) = T(z,x) \ T(x,y).
T(x \ T(y,z),y) = T(x,y) \ T(y,z).
T(a(x,y,z) \ T(u,w),u) = a(x,y,z) \ T(u,w).
x * K(y,T(z,u * x)) = K(y,T(z,u)) * x.
K(x / y,T(z,u * x)) = K(y \ x,T(z,u)).
T(x,y) * K(z,T(u,y)) = T(x * K(z,u),y).
(K(x,T(y,z)) * u) \ u = K(y,T(x,z \ u)).
K(T(x,y),T(z,u)) = K(x,T(z,y \ u)).
K(x,T(T(y,z),u)) = K(x,T(y,u \ z)).
K(x,T(T(y,z * u),z)) = K(x,T(y,u)).
K(x,T((y * z) \ u,z)) = K(x,T(u / (y * z),y)).
K(x,T(y,z * u)) / z = z \ K(x,T(y,u)).
K(x,T(T(y,z),z * u)) = K(x,T(y,u)).
K(x,T(y \ z,y * u)) = K(x,T(z / y,u)).
K(x,T(y,z * u)) * (z * w) = z * (K(x,T(y,u)) * w).
x * K(y,T(z,x * u)) = K(y,T(z,u)) * x.
K(x,T(T(y,z),u)) = K(x,T(y,u * z)).
K(x,T(y,(z * u) * z)) = K(x,T(y,u)).
K(x,T(y,z * (z * u))) = K(x,T(y,u)).
K(x,T(y,z \ u)) = K(x,T(y,z * u)).
K(x,T(y \ z,u * y)) = K(x,T(z / y,u)).
x * K(x,T(y,z * u)) = T(x,T(T(y,u),z)).
K(x,T(y,z * (u * z))) = K(x,T(y,u)).
K(x,T(y,z / u)) = K(x,T(y,u * z)).
K((x / y) / z,T(u,y * x)) = K(z \ (x / y),u).
K(x,T(y,z * u)) = K(x,T(y,u * z)).
T(x,T(T(y,z),u)) = T(x,T(y,u * z)).
T(x,T(T(y,z),u * z)) = T(x,T(y,u)).
T(x,T(T(y,z),u)) = T(x,T(y,z * u)).
T(x,T(T(y,z \ y),u)) = T(x,T(y,u * z)).
T(x,T(y / z,y * u)) = T(x,T(z \ y,u)).
T(x,T(y,z * (u \ y))) = T(x,T(y,z * u)).
K(x,T(y,z)) * T(u,z) = T(K(x,y) * u,z).
T(K(x,y) * a(z,u,w),v5) = K(x,T(y,v5)) * a(z,u,w).
K(x,K(T(y,z),u)) * K(x,K(y,z)) = T(K(x,T(y,z)),u) * K(y,x).
K(x,y \ z) * K(z / y,x) = K(x,K(z,y \ z)).
T(x * (K(y,z) * u),K(y,z)) = K(y,z) * (x * T(u,K(y,z))).
K(x,y) * (T(z,K(y,x)) * u) = z * (K(x,y) * u).
T(x,K(y,z)) * (K(y,z) * u) = K(y,z) * (x * u).
(x * T(y,z)) * ((x * y) \ u) = K(y,T(z,x)) * u.
K(x,T(y,z)) * (K(z,y) * u) = K(x,y) * (K(z,T(y,x)) * u).
T((x * y) \ z,K(y,x)) = (x * y) \ T(z,K(y,x)).
T(K(x,y) * (z * y),y \ x) = T(z * T(y,x \ y),x / y).
L(x,y,y \ (z * (y * x))) = L(x,y,z).
T(T(x,y) / a(z,u,w),x) = a(z,u,w) \ T(x,y).
K(x,y \ z) * K(z / y,x) = K(x,K(y,z)).
x \ (T(y,K(z,u)) * x) = T(y,K(u,z) * x).
T(T(x,K(y,z)),u) = T(x,K(z,y) * u).
T(x,K(y,z) * K(y,z)) = x.
T((K(x,y) * z) * K(y,x),u) = T(z,K(x,y) * u).
T(T(x,K(y,z)),u) = T(x,K(y,z) * u).
T(x,K(y * y,z) * u) = T(x,u).
K(x,y) * T(z,K(x,y) * u) = T(z,u) * K(x,y).
K(x,K(y,z) * K(y,z)) = 1.
K(x,K(y * y,z) * u) = x \ T(x,u).
T(x,K(y,z * z) * u) = T(x,u).
T(x,y * K(z,u * u)) = T(x,y).
K(x,y * K(z,u * u)) = x \ T(x,y).
T(T(x,y),K(z,u)) = T(x,K(z,u) * y).
R(T(x,K(y,z) * u),K(w,v5),v6) = T(T(x,K(y,z)),u).
T(x,K(y,z) * u) = T(x,K(z,y) * u).
x * T(y,K(z,u) * x) = T(y,K(z,u)) * x.
K(x,K(y * y,z) * u) = K(x,u).
K(x,T(y,z * z) / u) = K(x,y / u).
K(x,y * K(z,u * u)) = K(x,y).
K(x,y \ T(z,u * u)) = K(x,y \ z).
T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u).
T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u).
T(x,K(y,z) * (K(u,y) * w)) = T(x,K(y,u) * (K(y,z) * w)).
T(x,K(y,z)) * T(u,x * K(y,z)) = T(u,K(y,z)) * T(x,K(y,z)).
T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u).
T(x,y * (K(z,y) * u)) = T(x,T(y,z) * u).
T(x,((y * z) / y) \ u) = T(x,T(z,y) \ u).
T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u).
T(x,T(y * z,z) \ u) = T(x,(z * y) \ u).
T(x,T(y,z \ 1) \ u) = T(x,T(y,z) \ u).
T(x,((y \ 1) * T(z,y)) \ u) = T(x,(z * (y \ 1)) \ u).
T(x,T(y,z \ 1) \ u) = x * K(x,T(y,z) \ u).
(x * T(y,z)) \ (x * (K(y,z) * (x \ u))) = (x * y) \ u.
K(x,y) * (a(z,u,w) \ x) = a(z,u,w) \ T(x,y).
(K(x,y) * T(z,u)) * K(y,x) = T(z,K(x,y) * u).
K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u).
K(x,T((y \ 1) * z,y) \ u) = K(x,(z * (y \ 1)) \ u).
K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u).
(x / (y * ((z * y) \ x))) * (z \ x) = x * a(z,y,(z * y) \ x).
((x * y) * z) \ ((T(z,(x * y) \ 1) * y) * T(x,y)) = a(T(z,(x * y) \ 1),y,T(x,y)).
(x * (T(y,x) * ((y * x) \ z))) \ z = a(x,T(y,x),(y * x) \ z).
x * (T(y,x) * L(z,x,y)) = y * (x * L(z,y,x)).
(x * y) * L((x * y) \ x,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) * L(R(x,z,u),w,v5) = x * (y * L(R(x,z,u),w,v5)).
x * (y * L(y \ (x \ z),x,y)) = y * (T(x,y) * ((x * y) \ z)).
(x * y) * R(x \ (x / y),z,u) = x * (y * R(y \ 1,z,u)).
(x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u).
x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x).
L((x \ y) \ 1,x \ y,x) = T(y \ (x * 1),x \ y).
T(x,L(y \ z,y,u)) = T(x,(u * y) \ (u * z)).
T(((x / y) * (y * z)) / z,z) = (z \ x) * L(z,y,y \ x).
L(x,y,(z \ K(u,z)) \ ((T(z,u) / x) \ 1)) = x.
L(x,y,K(z,u) / ((T(z,u) / x) / z)) = x.
T(T(x,K(y,z)),u) != w | T(x,K(y,z) * u) = w.
T(T(x,y),K(z,u)) != w | T(x,K(z,u) * y) = w.
T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w.
T(x \ (y * 1),y \ x) = x \ (y * 1).
T(x \ (y * 1),y \ x) = x \ y.
T(x \ y,y \ x) = x \ y.
T(x \ (x / y),y) = x \ (x / y).
(x \ (x / y)) * y = y * (x \ (x / y)).
x / (y * (x \ (x / y))) = L(x,y,y \ x).
L(x,y,y \ x) \ x = y * (x \ (x / y)).
L(x,y \ 1,y) \ x = a(y,y \ 1,x).
a(x \ 1,y,y \ 1) = a(y,y \ 1,x).
a(x,x \ 1,y \ 1) = a(y,x,x \ 1).
(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 * (a(x,y,z) \ u)) = T(w,u).
T((a(x,y,z) \ u) * w,u) = w * (a(x,y,z) \ u).
T(x,a(y,z,u) \ w) = w \ (x * w).
T(x,a(y,z,u) * w) = T(x,w).
T(x,(y * z) * u) = T(x,y * (z * u)).
(a(x,y,z) * u) / T(w,u) = w \ (a(x,y,z) * u).
T(x,(x * y) * z) = T(x,y * z).
T(x,y * (z * x)) = T(x,y * z).
T(x * y,x * (y * z)) = T(x * y,z).
T(x,(y * x) * z) = T(x,y * z).
T(x,(x \ y) * z) = T(x,y * z).
T(x,y * (x * z)) = T(x,y * z).
T(x,(y / x) * z) = T(x,y * z).
T(x,y * (x \ z)) = T(x,y * z).
T(x,(y / x) * z) = x * K(x,y * z).
T(x,y * (x \ z)) = x * K(x,y * z).
T(x * y,y \ z) = T(x * y,x * z).
K(x,(y / x) * z) = K(x,y * z).
K(x,(y * x) * z) = K(x,y * z).
K(x,(x * y) * z) = K(x,y * z).
K(x,y * z) * (x \ ((x * y) * z)) = ((x * y) * z) / x.
K(x,y * (x \ z)) = K(x,y * z).
K(x * (y \ z),T(y,u)) = u / (u * K(y,x * z)).
T(a(x,y,z) * u,u * w) = T(u * a(x,y,z),a(x,y,z) \ w).
K(x * (y \ z),T(y,u)) = K(x * z,T(y,u)).
(T(x,y) / z) / x = T(x,y) / (x * z).
L(x,y,K(z,u) / (T(z,u) / (z * x))) = x.
L(x,y,(T(z,u) / (z * x)) \ K(z,u)) = x.
L(x,y,(z / (z * x)) \ 1) = x.
L(x,y,((z * x) \ z) \ 1) = x.
L(x,y,(z \ (z / x)) \ 1) = x.
((x \ (x / y)) \ 1) * (y \ 1) = ((x \ (x / y)) \ 1) / y.
(x * K(y,z)) / (x / y) = T(x / (x / y),z).
(x * K(L(y \ 1,y,x),z)) / (x * y) = T(x / (x / L(y \ 1,y,x)),z).
x \ (K(x,y) * (z * K(y,x))) = T(x \ z,K(x,y)).
T(x \ y,K(x,z)) = x \ T(y,K(z,x)).
T(x \ (y * K(x,y)),K(x,z)) = x \ (y * K(x,T(y,z))).
x / (T(x,y) * ((z \ T(x,y)) * K(y,x))) = z / T(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).
a(x,y,z) = R(R(x,y,z) / x,x,y * z).
a(x,y,z) = R(x \ R(x,y,z),x,y * z).
R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)).
R(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z).
R(T(x \ R(x,y,z),u),x,y * z) = T(a(x,y,z),u).
R(x \ R(x,y \ 1,L(y,z,u)),x,y \ L(y,z,u)) = a(x,y \ 1,L(y,z,u)).
R(x \ R(x,L(y,z,u),y \ 1),x,y \ L(y,z,u)) = a(x,L(y,z,u),y \ 1).
(x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z).
K(((x / y) * z) * (x / (x / y)),u) = K(y * ((y \ x) * z),T(u,(x / y) * z)).
T(x,y * (z * ((y * z) \ x))) = x.
(x * (y * ((x * y) \ z))) / z = z \ (x * (y * ((x * y) \ z))).
a(x,y,z) * T(u,w \ u) = u * (a(x,y,z) * K(w,u)).
K((x * y) \ x,z) = y * T(y \ 1,z).
K((x * y) \ x,z) = K(y \ 1,z).
K((x \ y) \ 1,z) = K(y \ x,z).
K((x / y) \ 1,z) = K(y / x,z).
K(x \ y,z) = K(z,y \ x).
K(x,(y * z) \ y) = K(z,x).
K(x,y \ (y / z)) = K(z,x).
x \ (y * T(y \ x,z)) = K(z,x \ y).
(x \ y) * K(z,y \ x) = T(x \ y,z).
K(x \ (x / y),z) = K(z,y).
K(x / y,z) = K(z,y / x).
(x / y) * K(z,y) = x * T(x \ (x / y),z).
K(x \ y,T(z,x)) = K(z,x / y).
K(1 / (x / y),z) = K(y / x,z).
K(x,y / z) != u | K(z / y,x) = u.
K((x \ y) / y,z) = K(1 / x,z).
T(x,(y \ z) / z) = K(1 / y,x) \ x.
x * T(x \ y,K(z,u)) = y * K(z,K(u,y \ x)).
T(x,(y \ z) / z) = T(x,y \ 1).
T(x,(y / z) \ 1) = T(x,z / y).
T(x,y \ (y / z)) = T(x,z \ 1).
T(x,(y * (z * u)) / ((y * z) * u)) = T(x,a(y,z,u) \ 1).
T(x,(y / z) \ x) = T(x,z / y).
T(x,(y \ R(y,z,u)) \ 1) = T(x,y / R(y,z,u)).
T(x \ y,z \ (z / x)) = y / x.
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,y \ (a(z,u,w) \ y)) = T(x,a(z,u,w) \ 1).
T((x \ y) \ z,y \ x) = z / (x \ y).
T(x * (y \ z),z \ y) = (y \ z) * x.
T(T(x,y \ z),z \ y) = x.
((x / y) * z) / (y \ x) = T(K(y,x) * z,x \ y).
x * T(x \ (x / y),z) = x / T(y,z).
T(x \ (x / y),z) = x \ (x / T(y,z)).
x / T(x / y,z) = x * T(y / x,z).
T(x,y / R(y,z,u)) = T(x,R(y,z,u) \ y).
T(x,y \ (a(z,u,w) \ y)) = x.
T(x,((y * z) * u) \ (y * (z * u))) = x.
x / (y \ ((x / z) * y)) = T(K(y,x) * z,x \ y).
T(K(x,y) * z,y \ x) = y / T(y / z,x).
T(K(x,y) * z,y \ x) = y * T(z / y,x).
(x \ y) * T((x \ y) \ z,y) = x \ T(x * z,y).
(x / y) \ T((x / y) * z,x) = y * T(((x / y) \ x) \ z,x).
(x \ y) * K(x * (x \ y),z) = T(T(y,T(z,x)) / x,y).
((x / y) * K(z,u)) * K(u,K(z,y)) = x / (y * K(u,z)).
K(x \ 1,y) * (x \ L(x,z,u)) = (L(x,z,u) \ T(x,y)) \ 1.
K(x,y) * T(z \ 1,x * y) = T(K(x,y) / z,x * y).
(1 / x) \ L((1 / x) * y,z,u) = x * L(((1 / x) \ 1) \ y,z,u).
x \ ((T(x,y * z) * y) * z) = ((x * y) * z) / x.
T(x \ (y * K(x,y)),K(x,z)) = (x \ y) * K(x,T(y,z)).
x / (T(x,y) * (z \ x)) = z / T(x,y).
x / (T(x,y) * (x \ ((x / z) * u))) = ((x / u) * z) / T(x,y).
T(T(x,T(y,z)) / z,x) = (z \ x) * K(x,y).
T(T(x,T(y,z)) / z,x) = z \ T(x,y).
K(x,y) / T(z,x * y) = T(K(x,y) / z,x * y).
K(x,y) / T(z,x * y) = T(z \ K(x,y),y * x).
T((x \ y) * K(x,y),K(x,z)) = (x \ y) * K(x,T(y,z)).
R(x / (y * x),y * x,z) * (x * z) = R(y,x,z) \ (x * z).
R(x / y,y,z) * (x * z) = x * (y \ (x * z)).
(x * (K(y,z) * u)) / (T(y,z) * u) = R(x / y,T(y,z),u).
(K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w).
L(x \ (y \ z),T(x,u),y) = (y * x) \ z.
L(x \ (y \ (y * (x * z))),T(x,u),y) = L(z,x,y).
L(x \ (x * y),T(x,z),u) = L(y,x,u).
L(x,T(y,z),u) = L(x,y,u).
(x * T(y,z)) * L(u,y,x) = x * (T(y,z) * u).
L(x,y / z,u) = L(x,z \ y,u).
L(x,y * z,u) = L(x,z * y,u).
L(x,y \ (y / z),u) = L(x,y \ (z \ y),u).
x / L(T(y \ 1,z),y,x) = x * T(y,z).
L(x,L(y \ 1,y,z),u) = L(x,z \ (y \ z),u).
((T(x,y) * z) * u) \ (K(x,y) * ((x * z) * (u * w))) = L(w,u,x * z).
T(x,y) \ (T(x / y,x) * y) = a(x \ (x / y),x,y).
a(x \ (x / y),x,y) = T(x,y) \ ((y \ x) * y).
a(x \ (x / y),x,y) = T(x,y) \ T(x,y).
a(x \ (x / y),x,y) = 1.
(x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u).
L(x \ 1,x,y) \ (z * (y \ (y / x))) = T(z,x \ 1).
T(x,y) * (z \ (z / y)) = L(y \ 1,y,z) * x.
T(x,y) * (z \ (z / y)) = x * L(T(y \ 1,x),y,z).
K(x,y) * (z \ (z / y)) = L(T(y \ 1,x),y,z).
(x \ (x / y)) \ (K(y,z) * u) = L(T(y \ 1,z),y,x) \ u.
((x * y) * a(z,u,w)) / L(a(z,u,w) * y,x,a(x,y,a(z,u,w))) = a(x,y,a(z,u,w)) * x.
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 * 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.
R(x,y,R(T(x,y),z,z \ y)) = R(x,y,a(x,z,z \ y)).
R(x,y,a(x,z,z \ y)) = x.
(x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w).
T(x,L(y \ z,y,y \ u)) = T(x,u \ ((u / y) * z)).
T(x,(y * (z * u)) / ((y * z) * u)) = x.
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).
K(x,L(y,z,u)) = K(x,y).
L(x,y,z) * K(x,u) = L(T(x,u),y,z).
K(x,L(y,z,u)) = K(y,x \ 1).
K(x,L(y,z,u)) = x \ T(x,y).
K(x * (y \ z),x * z) = K(x * z,T(y,z)).
K(x,(y * z) \ u) = K(x,z \ (y \ u)).
K(x,(y \ 1) * z) = K(x,y \ z).
T(x,L(y,z,u)) = K(x,y) * x.
K(L(x,y,z),u) = 1 / K(u,x).
K(x,(y \ z) \ u) = K(x,z \ (y * u)).
K(x,T((y * z) \ u,w)) = K(x,T(z \ (y \ u),w)).
K(x,y * (z \ 1)) = K(x,y / z).
T(x,L(y,z,u)) = T(x,y).
K(x,L(y,z,u)) != w | K(x,y) = w.
T(L(x,y,z) * u,x) = u * L(x,y,z).
L(x,y,z) \ (u * L(x,y,z)) = T(u,x).
T(x / L(y,z,u),y) = L(y,z,u) \ x.
T(x,y \ ((y / z) * u)) = T(x,z \ u).
T(x,(y * z) \ (y * u)) = T(x,z \ u).
L(x,y,z) * T(u,x) = u * L(x,y,z).
T(x,(y * z) \ u) = T(x,z \ (y \ u)).
T(x,(y \ 1) \ z) = T(x,y * z).
T(x,(y \ 1) * z) = T(x,y \ z).
T(x,T((y * z) \ u,w)) = T(x,T(z \ (y \ u),w)).
T(x,y * (z \ 1)) = T(x,y / z).
K(L(x,y,z),u) = K(x,u).
K((x * y) \ z,T(u,y)) = K((x \ z) / y,u).
K(x,L(x,y,z) * u) = K(L(x,y,z),u).
K((x \ 1) \ y,z) = K(x * y,z).
K(x * (y \ 1),z) = K(x / y,z).
K(x,((y \ 1) * z) \ u) = K(x,((z \ 1) * y) * u).
K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u).
K(x,y / (z \ 1)) = K(x,y * z).
K(x,y / ((z \ 1) * u)) = K(x,y * ((u \ 1) * z)).
K(x,((y * z) / y) / u) = K(x,z * (K(y,z) * (u \ 1))).
K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)).
K(x,(y \ 1) * z) != u | K(x,y \ z) = u.
K(x,y \ 1) != z | K(y,x) = z.
T(x,((y \ 1) \ T(z,u)) * K(w,z)) = T(x,y * (K(w,z) * T(z,u))).
T((x \ 1) * y,x \ y) = (x \ 1) * y.
T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)).
K(x,y \ (z \ 1)) = K(z * y,x).
K(x * y,z) * ((x \ 1) \ y) = T((x \ 1) \ y,z).
K(x * (y \ 1),z) = K(z,y / x).
K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))).
K(x,T(y \ (z \ 1),u)) = K(z * y,T(x,u)).
K(x,y \ T(z \ 1,u)) = K(T(z,u) * y,x).
K(x,(y \ 1) / z) = K(z * y,x).
L(x,y,z) * (x \ K(x,u)) = x \ L(T(x,u),y,z).
K(x,T((y \ 1) * z,y) \ u) = K(x,(y \ 1) \ (z \ u)).
K(x,(y / z) \ (z \ u)) = K(x,T(y,z) \ u).
x * K(x,y \ (z \ u)) = T(x,(z * y) \ u).
K(x,a(y,z,u) \ ((y * (z * u)) \ w)) = K(x,((y * z) * u) \ w).
K(x,(y * ((z \ y) \ 1)) \ u) = K(x,y \ (((y / z) \ 1) \ u)).
K(x \ (y \ z),u) = K(u,z \ (y * x)).
K(x,(y \ (y / z)) \ u) = K(x,y \ ((y * z) * u)).
L(x,y,y \ z) * (x \ z) = ((z / y) * (y * x)) / x.
(L(x,y,z) * u) * x = x * (u * L(x,y,z)).
T(x,y \ 1) * L(y,z,u) = L(y,z,u) * x.
L(x,y,z) * (x \ u) = (u / x) * L(x,y,z).
(x / L(y,z,u)) * y = y * (L(y,z,u) \ x).
T((x / (y * z)) * y,z) = L(z,y,y \ x) \ x.
T(x,T(y,z) \ (z * u)) = T(x,(y / z) \ u).
((x / y) * (y * z)) / T(x,z) = L(z,y,y \ x).
(x * L(y,z,u)) / y = L(y,z,u) * (y \ x).
T(x * L(y,z,u),y) = T(x,y) * L(y,z,u).
T(x,y \ ((z * u) \ (z * (u * y)))) = x.
K(x,T(y,z \ (u \ w))) = K(x,T(y,(u * z) * w)).
K(x,L(x,y,z) * u) = K(x,u).
K(x,L(x,y,z) \ u) = K(x,u).
K(x,L(x,y,z) / u) = K(u,x).
K(x / L(y,z,u),y) = K(x,y).
K(x * L(y,z,u),y) = K(x,y).
K(L(x,y,z) * u,x) = K(u,x).
K(L(x \ 1,y,z) * u,x \ 1) = K(x,u).
((x \ 1) * y) / (x \ y) = (x \ y) \ ((x \ 1) * y).
T(x,y \ L(y,z,u)) = x.
(x \ L(x,y,z)) * u = u * (x \ L(x,y,z)).
T(x,y * L(y \ 1,z,u)) = x.
T(x,L(y,z,u) \ y) = x.
T(x \ L(x,y,z),u) = x \ L(x,y,z).
T(x,y \ (z \ (z / (y \ 1)))) = x.
(K(x,y) * (z \ L(z,u,w))) \ v5 = K(y,x) * ((z \ L(z,u,w)) \ v5).
T(x,y * (z \ (z / y))) = x.
x / (y * (z \ (z / y))) = (y * (z \ (z / y))) \ x.
x / (y * L(y \ 1,z,u)) = (y * L(y \ 1,z,u)) \ x.
T(x * L(x \ 1,y,z),u) = x * L(x \ 1,y,z).
T(x,y \ ((z \ 1) \ ((y \ z) \ 1))) = x.
T(x,y \ (((y \ z) / z) \ 1)) = x.
T(x,y \ ((z \ (z / y)) \ 1)) = x.
((x \ (x / y)) \ 1) / y = y \ ((x \ (x / y)) \ 1).
K(x,T(y \ 1,z) * u) != w | K(x,T(y,z) \ u) = w.
K(x,L(x \ 1,y,z) * u) = K(x,u).
((L(x \ 1,y,z) * u) * x) * K(x,u) = x * (L(x \ 1,y,z) * u).
K(x * (y \ z),T(y,z)) = K(x * (y \ z),x * z).
K(x * (y \ z),x * z) = K(z * x,y).
K(x,T(y,z) \ (z * u)) = K(x,(y / z) \ u).
T(x,(y * z) \ u) != w | T(x,z \ (y \ u)) = w.
(L(x,y,z) * u) * x = (x * u) * L(x,y,z).
x * ((y / x) * L(x,z,u)) = L(x,z,u) * y.
T(x,L(y,z,u) \ 1) = T(x,y \ 1).
x * (L(x,y,y \ z) \ z) = ((z / (y * x)) * y) * x.
(x * L(y,z,u)) / y = (x / y) * L(y,z,u).
L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x.
L(x,y,z) * (x \ (y * z)) = (z * (T(y,z) * x)) / x.
R(x,x \ L(x,y,z),L(x,y,z) \ u) \ u = (L(x,y,z) \ u) * (x \ L(x,y,z)).
(x * y) / L(y,z,u) = y * (L(y,z,u) \ x).
(x * (L(x,y,z) \ u)) \ (u * x) = L(x,y,z).
x \ L(x * K(y,z),u,w) = (K(y,z) / x) * L(x,u,w).
((x / y) * L(y,z,u)) * y = x * L(y,z,u).
((x * y) / z) * L(z,y,x) = (x * (y * z)) / z.
T(x * L(y,z,u),y) \ (y \ (x * L(y,z,u))) = (x * L(y,z,u)) \ ((x / y) * L(y,z,u)).
(x / y) * L(y,z,z \ x) = ((x / z) * (z * y)) / y.
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
T(x * L(y,y,x),y) = y \ (x * (y * y)).
T((x / T(y,z \ y)) * z,y / z) = L(y / z,z,z \ x) \ x.
(x * y) * (((x * (y * z)) / z) \ (x * y)) = z * (L(z,y,x) \ (x * y)).
K(x,T(y \ (z \ u),y)) = K(x,T(u / (z * y),z)).
K(x,y \ ((z \ 1) \ u)) = K(x,((y \ 1) * z) * u).
(x \ K(y,x * z)) \ z = T((x \ 1) \ z,y).
(x \ K(y,x * R((x \ 1) * z,u,w))) \ R((x \ 1) * z,u,w) = T(R(z * (x \ 1),u,w) / (x \ 1),y).
((x \ L(x,y,z)) \ K(u,L(x,y,z) * (x \ K(w,v5)))) \ K(w,v5) = T(((x \ L(x,y,z)) \ 1) \ K(w,v5),u).
K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))).
K(x,T(y,z \ (u \ w))) = K(x,T(y,w * (u * z))).
K(x,T(y,(z * u) * w)) = K(x,T(y,u * (z \ w))).
x / (y \ ((y \ 1) \ x)) = (y \ x) \ ((y \ 1) * x).
(x * (y \ (y / x))) \ y = L(y,x,x \ y).
(x * L(x \ 1,x,y)) \ y = L(y,x,x \ y).
((x \ (x / y)) \ 1) * (y \ 1) = y \ ((x \ (x / y)) \ 1).
K((x \ y) * z,x) = K(z * (x \ y),z * y).
K((x \ y) * z,x) = K(y * z,x).
K(x,T(y / (z * u),z)) = K(x,(z \ y) / u).
K(x,T(y,z * (u \ w))) = K(x,T(y,w * (u * z))).
K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))).
x \ (y * (L(y,z,z \ x) \ x)) = (((x / z) * (z * y)) / y) \ x.
L(x,y,z) = ((y * z) / x) \ ((z * (T(y,z) * x)) / x).
(x / (y \ 1)) * (((y \ x) * y) \ (y \ x)) = ((x / y) * (y * (y \ 1))) / (y \ 1).
(((x \ 1) * y) / x) \ ((y * (T(x \ 1,y) * x)) / x) = R(x,x \ 1,y).
K(x,((y * z) / y) / u) = K(x,z * (K(y,z) / u)).
K(x,T((y \ 1) * z,y) \ u) = K(x,1 \ (y * (z \ u))).
(x * L(x \ 1,x,y)) \ y = R(y,x,L(x \ 1,x,y)).
R(x,y,L(y \ 1,y,x)) = L(x,L(y \ 1,y,x),y).
L(x,L(y \ 1,y,x),y) = R(x,y,y \ (x * 1)).
L(x,L(y \ 1,y,x),y) = R(x,y,y \ x).
(x * L(x \ 1,x,y)) \ y = R(y,x,x \ y).
R(x,y,y \ x) = L(x,y,y \ x).
(x * ((y \ x) \ y)) / ((y \ x) * ((y \ x) \ y)) = L(y,y \ x,(y \ x) \ y).
x * L(x,y,y \ x) = (x * y) * (y \ x).
(L(x,y,y \ x) \ x) \ 1 = x \ R(x,y,y \ x).
(x * (y \ (y / x))) \ 1 = y \ R(y,x,x \ y).
L(K(x,y) * z,u,w) / z = (K(x,y) / z) * L(z,u,w).
(x * (y \ (y / x))) \ 1 = x \ ((y \ (y / x)) \ 1).
x \ R(x,y,y \ x) = y \ ((x \ (x / y)) \ 1).
x \ L(x,y,y \ x) = y \ ((x \ (x / y)) \ 1).
K(x,T((y \ 1) * z,y) \ u) = K(x,y * (z \ u)).
K(x,((y \ 1) * T(z,y)) \ u) = K(x,y * (z \ u)).
K(x,((T(y,z) \ 1) * z) * u) = K(x,z * (y \ u)).
K(x,(T(y \ 1,z) * z) * u) = K(x,z * (y \ u)).
K(x,T((y \ 1) * z,z) * u) = K(x,z * (y \ u)).
L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w).
x * L(K(x,y) * z,u,w) = T(x,y) * L(z,u,w).
T(x,y) * L(T(x,y) \ z,u,w) = x * L(x \ z,u,w).
R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w).
K(x,y) * R(x,z,u) = R(T(x,y),z,u).
K(x,y) * R(y \ z,u,w) = R(T(y,x) \ z,u,w).
K(R(x,y,z),u) = K(x,u).
T(x,y) \ R(T(x,y),z,u) = x \ R(x,z,u).
x * (K(y,x) * R(y,z,u)) = R(y,z,u) * x.
K(x \ (y * (z \ x)),u) = K(y / z,T(u,x)).
K((x / y) / z,u) = K(x / (z * y),u).
(x * K(y,x)) * R(y,z,u) = R(y,z,u) * x.
R(x,y,z) * (K(x,u) * w) = R(T(x,u),y,z) * w.
K(x / (y * z),u) = K(u,y / (x / z)).
K(x / (y * z),T(u,z * x)) = K(y \ (x / z),u).
K(x,(y * z) / u) = K(x,y / (u / z)).
(x * (y / x)) * R(x,z,u) = R(x,z,u) * y.
R(x,y,z) * (x \ u) = (u / x) * R(x,y,z).
K(x,(y * (z \ u)) \ u) = K(y / z,T(x,u)).
R(x,y,z) * T(u,x) = u * R(x,y,z).
T(x,R(y,z,u)) = T(x,y).
T(K(x,y) * R(z,u,w),z) = R(z,u,w) * K(x,y).
T(R(x,y,z) * u,x) = u * R(x,y,z).
T(x,R(y,z,u)) = T(x,L(y,w,v5)).
T((x * y) * z,x) = (y * z) * R(x,y,z).
R(x,y,z) / T(u,x) = u \ R(x,y,z).
T(x,(y * z) / u) = T(x,y / (u / z)).
T(x,T((y * z) / (u * z),w)) = T(x,T(y / u,w)).
T(x,L(y,z,u)) = K(x,R(y,w,v5)) * x.
(R(x,y,z) * u) * x = x * (u * R(x,y,z)).
(x * R(y,z,u)) * (y \ 1) = (y \ 1) * (R(y,z,u) * x).
R(x,y,z) / (u * x) = (x * u) \ R(x,y,z).
T(x,y / (((y * z) * u) / (z * u))) = x.
K(x,R(y,z,u)) = K(x,y).
K(x,(y / z) / u) = K(x,y / (u * z)).
K(x,y) * (R(y,z,u) * x) = x * R(y,z,u).
K(x,T(y / (z * u),z)) = K(x,z \ (y / u)).
T(x,y / R(y,z,u)) = x.
T(x,R(y,z,u) \ y) = x.
T(x,y \ R(y,z,u)) = x.
(x \ R(x,y,z)) * u = u * (x \ R(x,y,z)).
T(x \ R(x,y,z),u) = x \ R(x,y,z).
T(x,R(y,z,u) \ y) != w | x = w.
R(x,y,z) \ (x * (u * (x \ R(x,y,z)))) = L(u,x \ R(x,y,z),x).
K(x,(y / z) / (u \ 1)) = K(x,y * ((z \ 1) * u)).
K(x,(y * z) / (u * y)) = K(x,z * (K(y,z) / u)).
K(x,y / (((z \ 1) * u) * w)) = K(x,(y / w) * ((u \ 1) * z)).
K(x,y / (a(z,u,w) * v5)) = K(x,a(z,u,w) \ (y / v5)).
T(x \ R(x,y,z),u) = T(x,w) \ R(T(x,w),y,z).
T((x \ 1) \ R(x \ 1,y,z),u) = x * R(x \ 1,y,z).
T(R(x,y,z) * (x \ 1),u) = x \ R(x,y,z).
x * (y * R(x,x,y)) = T((x * x) * y,x).
((x \ y) * z) * R(x,x \ y,z) = T(y * z,x).
K(x,((y * z) * R(u,y,z)) \ (u * w)) = K(x,(((u * y) * z) / u) \ w).
x * ((y / x) * R(x,z,u)) = R(x,z,u) * y.
K(x,y \ (z * (u \ y))) = K(u / z,T(x,y)).
(R(x,y,z) * u) * x = (x * u) * R(x,y,z).
(R(x,x,y) * y) * x = T((x * x) * y,x).
x \ ((x * x) * y) = R(x,x,y) * y.
(x \ ((x * x) * y)) / y = R(x,x,y).
R(x,x,(x * x) \ y) = (x \ y) / ((x * x) \ y).
K(x * y,z) * ((z * x) * y) = (x * y) * R(z,x,y).
K(x * (y / x),z \ (u / w)) = K(y,T(T(u / (z * w),z),x)).
K(x,(y \ z) / u) = K(x,y \ (z / u)).
K(x,(y \ (y / z)) \ (u / (z * y))) = K(x,T(u / y,y \ (y / z))).
K(x,y \ (z / (u \ 1))) = K(x,(y \ z) * u).
((x \ R(x,y,z)) * (u * x)) / R(x,y,z) = R(u,x,x \ R(x,y,z)).
((x \ R(x,y,z)) * u) / R(x,y,z) = R(x,y,z) / (x * (u \ R(x,y,z))).
(x \ R(x,y,z)) \ ((u * R(x,y,z)) * (x \ 1)) = R(u,R(x,y,z),x \ 1).
((x * y) / z) * R(z,x,y) = z \ ((z * x) * y).
x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u.
(x * (R(x,y,z) \ u)) \ (u * x) = R(x,y,z).
K(x,y \ (((z / u) \ 1) \ u)) = K(x,(y \ u) * (u \ z)).
x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u).
R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
K(R(x,y,z) * u,x * (R(x,y,z) \ w)) = K((w * x) * u,x * (R(x,y,z) \ w)).
((x \ y) * z) * ((y * z) / ((x \ y) * z)) = T(y * z,x).
(x \ y) / ((x * x) \ y) = R(x,x,x \ y).
R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)).
(x \ (y * z)) \ (x \ ((x * y) * z)) = R(T(x,y * z),y,z).
(x * y) * ((z \ ((z * x) * y)) \ (x * y)) = z * (R(z,x,y) \ (x * y)).
R(x,K(x,y) * z,u) * (x \ ((K(x,y) * z) * u)) = x \ ((T(x,y) * z) * u).
K(x,T(y \ ((y * z) * u),y \ (z * u)) \ ((y \ (z * u)) * w)) = K(x,R(y,z,u) \ w).
T(x,y) * R(T(x,y) \ z,u,w) = x * R(x \ z,u,w).
K((x * y) \ z,T(u,y)) = K(x \ (z / y),u).
K((x \ y) / z,u) = K(x \ (y / z),u).
K(x \ (y / z),u) = K(u,z / (x \ y)).
K(x,y / (z \ u)) = K(x,(u / y) \ z).
K(x,y / ((z \ u) * w)) = K(x,(u / (y / w)) \ z).
K(x,(y / z) \ T(u,y)) = K(x,z / T(u \ y,u)).
K(x,(y / z) \ T(u,y \ 1)) = K(x,z / (y / u)).
T(R(K(x,y) * z,u,w),z) = R(z,u,w) * K(x,y).
T(x,T((y / z) / u,w)) = T(x,T(y / (u * z),w)).
K(x,y * ((z \ 1) * u)) = K(x,(y / z) * u).
R(T(x \ R(x,y,z),u),T(x,w),y * z) = a(T(x,w),y,z).
R(T(K(x,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).
((x * y) * z) / (z * y) = R(x * K(y,z),y,z).
R(x \ 1,y,z) * K(u,w) = R(x \ K(u,w),y,z).
a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)).
a(x,y,z) = L(x \ R(x,y,z),x,y * z).
a(x,y,z) = L(x \ R(x,y,z),x,z * y).
L(x \ R(x,y \ z,y),x,z) = a(x,y \ z,y).
K(x,a(y,z,u) \ (w / (y * (z * u)))) = K(x,w / ((y * z) * u)).
T(x * R(x \ 1,y,z),u) = x * R(x \ 1,y,z).
K(x,y) * (z * R(z \ 1,u,w)) = z * (R(z \ 1,u,w) * K(x,y)).
K(x,((y \ 1) * (z / u)) * u) = K(x,(y \ u) * (u \ z)).
T(x * y,((z \ x) * y) \ 1) = T(x * y,z).
T(x,y) * R(T(x \ 1,y),z,u) = x * R(x \ 1,z,u).
T(x \ ((x * y) * z),x \ (y * z)) = R(T(x,y * z),y,z) * (x \ (y * z)).
R(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w).
x \ R(x,a(y,z,u),w) = a(x,a(y,z,u),w).
R(x,y,z) != a(u,a(w,v5,v6),v7) | a(u,a(w,v5,v6),v7) = x.
(a(x,a(y,z,u),w) \ v5) * (v5 \ v6) = a(x,a(y,z,u),w) \ v6.
x * a(x,a(y,z,u),w) = R(x,a(y,z,u),w).
R(x,a(y,z,u),w) \ x = a(x,a(y,z,u),w) \ 1.
((x * y) * K(z,u)) \ (K(z,T(u,x * y)) * (x * (y * w))) = L(L(w,y,x),x * y,K(z,T(u,x * y))).
((x * y) * (z * K(u,w))) / ((y * z) * K(u,w)) = R(R(x,y,z),y * z,K(u,w)).
(x * a(y,a(z,u,w),v5)) \ v6 = x \ (a(y,a(z,u,w),v5) \ v6).
a(x,a(y,z,u),w) * (v5 / T(v6,v5)) = v6 \ (a(x,a(y,z,u),w) * v5).
(1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z).
(x \ 1) \ T((1 / x) * y,z) = x * T(x \ y,z).
(x \ 1) \ T((x \ 1) * y,z) = x * T(x \ y,z).
x * T(x \ ((x \ 1) / ((x \ 1) * y)),y) = (x \ 1) \ ((x \ 1) / y).
T(x,T(y \ ((z \ 1) \ 1),y)) = T(x,((z \ 1) * T(y,z)) \ x).
T(K(x,T(y,z)),z) * T(u,K(x,T(y,z)) * z) = z \ (u * (z * K(x,y))).
(x / y) * ((x \ (x / y)) \ z) = (y \ x) * ((x \ (y \ x)) \ z).
K(x,T(y,z)) * (K(z,y) * u) = y * (T(T(y,x),z) \ u).
T(x * T(y,z \ y),z / y) = y * T((x * y) / y,z).
T(x * T(y,z \ y),z / y) = y * T(x,z).
((x * y) * (x \ (x / y))) \ (x * (y * R(y \ 1,x,y))) = a(x \ (x / y),x,y).
T(x \ (y * z),y \ x) = x \ (y * T(z,y \ x)).
a(x,y,z) * T(u,a(x,y,z) \ w) = (w \ (a(x,y,z) * u)) * w.
R(x \ R(x,y,z),x,y * z) != u | a(x,y,z) = u.
(x / y) \ T((x / y) * z,x) = y * T(y \ z,x).
T(x \ 1,y) / (L(x,z,u) \ 1) = K(x \ 1,y) * (x \ L(x,z,u)).
x / (K(x,y) * ((x / z) * u)) = ((x / u) * z) / T(x,y).
((x / y) * z) / T(x,u) = x / ((T(x,u) / z) * y).
x / ((T(x,y) / (z * y)) * z) = L(y,z,z \ x).
((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))) = z * L(z \ 1,y,x).
K(x,((y \ z) \ 1) \ (z \ u)) = K(x,z \ (((z / y) \ 1) \ u)).
K(x,y / (((z \ 1) * u) * w)) = K(x,((y / w) / u) * z).
K(x,T(T(y / (z * u),z),w)) = K(x,T(z \ (y / u),w)).
K(x,T(y / (z * u),w * z)) = K(x,T(z \ (y / u),w)).
K(x,T(y / (z * u),z * w)) = K(x,T(z \ (y / u),w)).
T(x,T(y \ z,y)) = T(x,((z \ 1) * T(y,z)) \ x).
T(x,((y \ 1) * T(z,y)) \ x) = T(x,y / z).
T(x,(y * (z \ 1)) \ x) = T(x,z / y).
T(x,(y \ 1) \ (z \ x)) = T(x,y / z).
T(x,y * (z \ x)) = T(x,y / z).
T(x,T(y,z / u)) = T(x,T(y,z * u)).
T(x,T((y / z) / u,y * z)) = T(x,u \ (y / z)).
T(x,T(y / (z * u),y * u)) = T(x,z \ (y / u)).
T(x,T((y * z) \ u,z)) = T(x,y \ (u / z)).
T(x,(y / z) \ (u / z)) = T(x,T(y \ u,z)).
K(x,1 \ ((y \ z) * (z \ u))) = K(x,z \ (((z / y) \ 1) \ u)).
K(x,y \ (((y / z) \ 1) \ u)) = K(x,(z \ y) * (y \ u)).
K(x,((y \ 1) * (y / z)) * u) = K(x,(z \ y) * (y \ u)).
(L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)).
R(L(x,y,z),z * y,(z * y) \ (x * (z * y))) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)).
((x * y) \ (x * ((z * (y \ 1)) \ 1))) \ 1 = R(z,y \ 1,x \ 1).
(x * (K(y,x) * (y * z))) \ ((y * x) * z) = a(x * K(y,x),y,z).
R((x * y) / y,T(y,z),u) = R(x,y,K(y,z) * u).
R(x,y,K(y,z) * u) = R(x,T(y,z),u).
(x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)).
a(x,T(y,z),T(z,y)) = a(x,y,z).
(x * (y * a(z,a(u,w,v5),v6))) \ (x * (a(z,a(u,w,v5),v6) * (y * v7))) = L(K(a(z,a(u,w,v5),v6),y) * v7,y * a(z,a(u,w,v5),v6),x).
x \ (y * (z * ((y \ (x * u)) / z))) = (x \ y) * (z * (((x \ y) \ u) / z)).
((x \ y) \ ((x \ 1) * y)) \ 1 = (x \ y) * ((y \ 1) * x).
R(x,y,y \ z) * (x \ z) = z * a(x,y,(x * y) \ z).
x * a(y,z,(y * z) \ x) = y \ ((y * z) * (z \ x)).
x * (y * L(y \ (x \ z),x,y)) = y * (x * ((y * x) \ z)).
x * (R(y / (x * y),x * y,z) * (y * z)) = y * (x * L(x \ (y \ (y * z)),y,x)).
T(a(x,y,z) * u,u * w) = T(u * a(x,y,z),w).
T(x * a(y,z,u),x \ w) = T(a(y,z,u) * x,w).
K(x,a(y,z,u) \ ((y * (z * u)) \ w)) = K(x,u \ ((y * z) \ w)).
T(((x / y) * K(y,z)) * z,y / z) = L(y / z,z,z \ x) \ x.
(((x / y) * (y * z)) / z) \ x = x \ (((x / (y * z)) * y) * z).
(((x / y) * (y * z)) / z) \ x = a(x / (y * z),y,z).
a(x,y,z) * T(u,a(x,y,z) \ w) = T(a(x,y,z) * u,w).
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(a(x,y,z) * u,w \ u) = u * (a(x,y,z) * K(w,u)).
x \ T(a(y,z,u) * w,v5 \ w) = (x \ (a(y,z,u) * w)) * K(v5,w).
T(x * a(y,z,u),w) = T(x,w) * a(y,z,u).
T((x * y) * a(z,u,w),x) = (y * x) * a(z,u,w).
(x * a(y,z,u)) \ T(x * a(y,z,u),w) = K(x,w).
(x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = R(w,x,a(y,z,u)).
K(x * a(y,z,u),w) = K(x,w).
K(a(x,y,z) \ u,w) = K(u,w).
K((x * y) * z,u) = K(x * (y * z),u).
K(x,y \ a(z,u,w)) = K(y,x).
K(x,y) * (a(z,u,w) \ x) = T(a(z,u,w) \ x,y).
K(x,y \ a(z,u,w)) = K(y,x * a(v5,v6,v7)).
K(x,y * a(z,u,w)) = K(x,y).
K(x,a(y,z,u) * w) = K(x,w).
K(x,a(y,z,u) \ w) = K(x,w).
K(x,(y * z) * u) = K(x,y * (z * u)).
K(x,a(y,z,u) * K(w,v5)) = K(x,K(v5,w)).
(x \ ((a(y,z,u) * w) * v5)) * K(v5,w) = x \ (v5 * (a(y,z,u) * w)).
K(x,a(y,z,u) \ w) = K(x,w * a(v5,v6,v7)).
K(x,y / ((z * u) * w)) = K(x,y / (z * (u * w))).
K(x,(y \ 1) * ((y / z) * u)) = K(x,(z \ y) * (y \ u)).
K(x,(y \ 1) * ((z / u) * u)) = K(x,(y \ u) * (u \ z)).
K(x,(y * (z \ a(u,w,v5))) * a(v6,v7,v8)) = K(z / y,T(x,a(u,w,v5))).
T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w).
T(a(x,y,z) \ (u * w),w \ 1) = a(x,y,z) \ (w * u).
K(x,y / ((z \ 1) * (u * w))) = K(x,((y / w) / u) * z).
K(x,y \ ((y / z) * u)) = K(x,(z \ y) * (y \ u)).
K(x,(y \ z) * (z \ u)) = K(x,(y \ 1) * u).
K(x,(y \ z) * (z \ u)) = K(x,y \ u).
K(x,y \ (z * u)) = K(x,(y \ z) * u).
K(x,(y \ (y / z)) * u) = K(x,(z \ y) * (y \ u)).
K(x,(y \ (y / z)) * u) = K(x,z \ u).
K(x,(1 / (y / (z * u))) \ w) = K(x,((y / u) / z) * w).
K(x,((y / (z * u)) \ 1) \ w) = K(x,((y / u) / z) * w).
K(x,1 \ ((y / (z * u)) * w)) = K(x,((y / u) / z) * w).
K(x,((y / z) / u) * w) = K(x,(y / (u * z)) * w).
((x * y) \ (x * (y * (z \ 1)))) \ 1 = R(z,y \ 1,x \ 1).
R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1.
R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1.
(x * (T(y,x) * z)) \ ((y * x) * z) = a(x * K(y,x),y,z).
a(x * K(y,x),y,z) = a(x,T(y,x),z).
a(T(x,y) * K(T(y,z),T(x,y)),T(y,z),u) = a(T(x,y),T(T(y,x),z),u).
K(x,(y * (z * u)) \ w) = K(x,u \ ((y * z) \ w)).
K(x,(y * z) \ (u \ w)) = K(x,z \ ((u * y) \ w)).
K(x,y \ ((z * u) \ w)) = K(x,y \ (u \ (z \ w))).
T((x / y) * T(z,y \ z),y / z) = L(y / z,z,z \ x) \ x.
L(x / y,y,y \ z) \ z = y * T(z / x,x).
L(x / y,y,y \ z) \ z = y * (x \ z).
L(x,y,y \ z) \ z = y * ((x * y) \ z).
x / (y * ((z * y) \ x)) = L(z,y,y \ x).
T((x / (y * z)) * y,z) = y * ((z * y) \ x).
R(x,y,y \ z) = L(x,y,y \ z).
L(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)).
((x / (y * z)) * y) * z = z * (y * ((z * y) \ x)).
(x \ y) / ((x * x) \ y) = L(x,x,x \ y).
(T(x,y) / (z * y)) * z = z * ((y * z) \ x).
L(x,x,x \ y) * ((x * x) \ y) = x \ y.
x / ((y * y) \ (y * x)) = L(y,y,y \ x).
x / L(y \ x,y,y) = L(y,y,y \ x).
L(x / y,y,y) \ x = L(y,y,y \ x).
x * ((x * x) \ y) = L(x \ y,x,x).
L(x \ ((x * x) * y),x,x) = x * y.
L(T(x / y,y),y,y) = y * ((y * y) \ x).
(x * x) * (x * y) = x * ((x * x) * y).
L(x * y,x,x) = x * L(y,x,x).
(x \ ((x * x) * y)) \ L(x \ ((x * x) * y),x,x) = ((x * y) \ (x \ ((x * x) * y))) \ 1.
x \ L(x * y,x,x) = L(y,x,x).
L(x \ y,x,x) = x \ L(y,x,x).
L((x * x) * y,x,x) = x * (x * y).
x \ ((x * x) * y) = (x * x) * (x \ y).
T(x * ((x * x) * y),x) = (x * x) * (y * x).
T(L(x / y,y,y),y) = y * ((y * y) \ x).
(x / (y * y)) * y = L(x / y,y,y).
L(((x \ y) * y) / y,y,y) = L(R(x \ 1,y,y),x,y) * y.
R(x \ (y \ z),x,y) = (y * x) \ z.
R(x \ y,x,z) = (z * x) \ (z * y).
R(x \ y,x,z) = L(x \ y,x,z).
T((x * y) / (z * y),z) = (y * z) \ (y * x).
R(x \ R(x,y \ z,y),x,z) = a(x,y \ z,y).
L((x \ y) \ L(x \ y,x,z),x \ y,x * z) = a(x \ y,x,z).
((x * x) * y) * x = (x * x) * (y * x).
T(x * y,y) / (y * y) = (y * y) \ (y * x).
T(x * y,x * x) = T(y * x,x).
K(x,y \ T(z * u,u)) = K(x,y \ (u * z)).
T(x,y \ T(z * u,u)) = x * K(x,y \ (u * z)).
K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)).
K(x,y \ T(z * K(u,w),u * w)) = K(x,y \ ((u * w) * (z / (w * u)))).
K(x,(y \ z) * K(u,z)) = K(x,y \ T(z,u)).
K(x,y \ T(z * (u / z),w)) = K(x,y \ T(T(u,w),z)).
K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)).
K(x,(y / z) \ T(u,y)) = K(x,z / (y / u)).
K(x,y \ T(T(z,u \ 1),w)) = K(x,y \ T(T(z,w),u)).
K(x,y \ T(z \ 1,u)) = K(x,y \ (z \ K(z,u))).
K(x,y / T(z \ u,z)) = K(x,y / (u / z)).
K(x,y / ((z * u) / z)) = K(x,y / T(u,z)).
K(x,y / T((z * u) / z,w)) = K(x,y / T(T(u,w),z)).
R(x,y,z) = L(x,y,z).
L(x,y,z) = R(x,y,z).
L(x,y,T(z,u)) = R(x,y,z).
R(x,y,T(z,u)) = L(x,y,z).
R(x,y,a(z,a(u,w,v5),v6)) = x.
(x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)).
x * a(x,a(y,z,u),w) = L(x,a(y,z,u),w).
((x * y) * z) / (z * y) = L(x * K(y,z),y,z).
(x \ ((x * x) * y)) / y = L(x,x,y).
R(x,y,z) * u = L(x,y,z) * u.
x \ L(x,a(y,z,u),w) = a(x,a(y,z,u),w).
L(x,y,z) * (y * z) = (x * y) * z.
L(x,y,z) \ ((x * y) * z) = y * z.
R(T(x \ L(x,y,z),u),x,y * z) = T(a(x,y,z),u).
R(T(x \ L(x,y,z),u),T(x,w),y * z) = a(T(x,w),y,z).
L(x,a(y,z,u),w) \ x = a(x,a(y,z,u),w) \ 1.
R(x,y,T(z,u)) = R(x,y,z).
R(x,y,z) != u | L(x,y,z) = u.
L(x,y,z) * (z * y) = (x * y) * T(z,y).
R(x,y,L(T(z,u),w,v5)) = R(x,y,L(z,w,v5)).
R(x,y,z) * (z * y) = (x * y) * T(z,y).
R(x,y,z) \ (z * (x * y)) = y * T(z,x * y).
(x * y) * a(z,a(u,w,v5),v6) = x * (y * a(z,a(u,w,v5),v6)).
x * (L(x,x,y) * y) = (x * x) * y.
((x * ((y * y) \ y)) \ y) / (x \ y) = L(y,y,x \ y).
L(x * x,y,x) = x * x.
T(x,y) * T(z,x * y) = T(z * x,y).
x * T(y,x * x) = T(y * x,x).
(x * y) * z != u * (y * z) | L(x,y,z) = u.
x \ (y * (x * x)) = (x \ y) * (x * x).
T(T(x,y),y) = T(x,y * y).
T(T(x,y \ 1),y * y) = T(x,y).
T(x / y,x * x) = T(y \ x,x).
T(x,y * y) != z | T(T(x,y),y) = z.
T(x,y) * T(x,y) = x * T(x,y * y).
K(x,T(y,z \ 1) / u) = K(x,T(y,z) / u).
(x * x) / T(y \ x,x) = (x / y) \ (x * x).
T(x,y) * T(x,y) = T(x * x,y).
T(x * L(y,y,x),y) = (y \ x) * (y * y).
x * T(x,y * y) = T(x * x,y).
T(x,y * y) = x * K(x * x,y).
T(T(x,y),y) = x * K(x * x,y).
K(x * x,y) = K(x,y * y).
K(x,y) * T(x,y) = x * K(x * x,y).
T(x,y) * K(x,y) = x * K(x * x,y).
K(x,y) * K(x,y) = K(x * x,y).
K(x,y) * K(x,y) = K(x,y * y).
R(x,y,x \ 1) \ L(y,x,x \ 1) = (x \ 1) * y.
T(x,y) * L(y,y,x) = (y \ x) * (y * y).
((x \ y) * x) * L(x,x,y) = (x \ y) * (x * x).
K(x,T(y \ z,y) / u) = K(x,(z / y) / u).
K(x,T(y \ z,y) / u) = K(x,z / (u * y)).
K(x,(y * z) / (u * y)) = K(x,T(z,y) / u).
K(x,y * (K(z,y) / u)) = K(x,T(y,z) / u).
R(x \ L(x,y \ z,y),x,z) = a(x,y \ z,y).
R(x \ 1,y,x) \ L(y,x \ 1,x) = y * T(x,(x \ 1) * y).
L(x,x,x \ y) = L(x,x,y).
L(x / y,y,y) \ x = L(y,y,x).
L(x,x,y * (x * x)) = L(x,x,y).
L(x,x,x * y) = L(x,x,y).
L(x,x,y) * ((x * x) \ y) = x \ y.
L(x,x,L(y,x,x)) = L(x,x,y).
(L(x,y,y) * (y * y)) / L(y,y,x) = L(x,y,y) * y.
L(x,x,(x * x) * y) = L(x,x,y).
((x \ y) * T(y,z)) / (((y \ x) * (y \ x)) \ T(y,z)) = L(y \ x,y \ x,T(y,z)).
T(x,y \ T(z * u,u)) = T(x,y \ (u * z)).
T(x,y \ (z * (u / z))) = T(x,y \ T(u,z)).
T(x,(y / z) \ (u / z)) = T(x,T(y,z) \ T(u,z)).
T(x,y \ T(T(z,u \ z),w)) = T(x,y \ T(T(z,w),u)).
T(x,(y \ z) * K(u,z)) = T(x,y \ T(z,u)).
K(x,y \ (z \ K(z,u))) = K(T(z,u) * y,x).
T(x,T(y,z) \ T(u,z)) = T(x,T(y \ u,z)).
T(x,T(x \ y,z)) = T(x,T(y,z)).
L(T(x \ L(x,y,z),u),x,y * z) = T(a(x,y,z),u).
((x * (y \ (y / y))) \ y) / (x \ y) = L(y,y,x \ y).
((x * y) * y) / L(y,y,x) = L(x,y,y) * y.
x * (L(x,x,y) \ (y * x)) = L(y,x,x) * x.
x * ((L(x,x,y) \ y) * x) = L(y,x,x) * x.
x * (L(x,x,y) \ y) = L(y,x,x).
L(x,x,y) * L(y,x,x) = x * y.
x \ (L(y,y,x) * (y \ x)) = L(x,y,y) \ x.
L(x,y,y) \ (x * y) = L(y,y,x).
L(x,y,y) \ y = x \ L(y,y,x).
((x * (y \ 1)) \ y) / (x \ y) = L(y,y,x \ y).
x / (y \ ((y * (x \ 1)) * x)) = L(x,x,y \ x).
K(x,y / T(T(z,u \ 1),w)) = K(x,y / T(T(z,w),u)).
L(((x \ y) * y) / y,y,y) = L(L(x \ 1,y,y),x,y) * y.
L(T(x \ L(x,y,z),u),T(x,w),y * z) = a(T(x,w),y,z).
L(T(x \ L(x,y,z),u),x,y * z) = a(T(x,w),y,z).
T(a(x,y,z),u) = a(T(x,w),y,z).
a(T(x,y),z,u) = a(x,z,u).
a(T(x,y),z,u) != w | a(x,z,u) = w.
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 / x),z,u) = a(y,z,u).
a(x * y,z,u) = a(y * x,z,u).
a(K(x,y) * (z / y),u,w) = a(z / T(y,x),u,w).
(((x / y) * (y * z)) / z) \ x = a((y * z) \ x,y,z).
(((x / (y * z)) * y) * z) / x = a((y * z) \ x,y,z).
x \ (((x / (y * z)) * y) * z) = a((y * z) \ x,y,z).
a(x \ (y * (z * (u / z))),w,v5) = a(K(z,u) * (x \ (y * u)),w,v5).
a(L(T(x,y),z,u),w,v5) != v6 | a(L(x,z,u),w,v5) = v6.
a(x * y,z,u) != w | a(y * x,z,u) = w.
(((x / y) * (y * (y \ z))) / (y \ z)) \ x = a(z \ x,y,y \ z).
x \ (y * (z * ((y * z) \ x))) = a((z * y) \ x,z,y).
a(x \ (y \ x),z,u) != w | a(L(y \ 1,y,x),z,u) = w.
((x * y) * (z * a(u,a(w,v5,v6),v7))) / ((y * z) * a(u,a(w,v5,v6),v7)) = R(R(x,y,z),y * z,a(u,a(w,v5,v6),v7)).
R(x \ 1,y,x) \ L(y,x \ 1,x) = y * T(x,1 * y).
R(x \ 1,y,x) \ L(y,x \ 1,x) = y * T(x,y).
R(x \ 1,y,x) \ L(y,x \ 1,x) = x * y.
((x * x) * (x \ y)) \ (x * y) = a(x \ y,x,x).
(((x / y) * z) / (y \ z)) \ x = a(z \ x,y,y \ z).
a(x \ (y * z),z,z \ x) = ((y * x) / (z \ x)) \ (y * z).
(x * (y * L(y,z,u))) \ ((x * y) * L(y,z,u)) = a(x,L(y,z,u),y).
(((x * y) / z) * (y * x)) / x = (x * y) / (y \ z).
R(x,y \ 1,z \ 1) / ((x \ 1) \ 1) = (x * L(x \ 1,y,z)) \ 1.
K(x,T(y,z)) * (T(K(x,y),u) \ x) = K(K(x,y),z) * T(x,K(u,y)).
(x * (L(x,y,z) * u)) \ ((x * L(x,y,z)) * u) = a(L(x,y,z),x,u).
(x \ 1) * (L(x \ 1,y,z) \ ((x * L(x \ 1,y,z)) * u)) = L(u,(x \ 1) \ L(x \ 1,y,z),x \ 1).
x \ T((y \ K(y,x)) * x,z) = (x \ 1) * T((y / x) \ 1,z).
x \ T((y \ K(y,x)) * x,z) = (T(y / x,z) * x) \ 1.
x \ T((y \ K(y,x)) * x,z) = (x * T(x \ y,z)) \ 1.
(x * T(x \ y,z)) \ 1 = x \ T(x * (y \ 1),z).
T(((x \ 1) \ y) \ 1,z) * x = (x \ T(x * y,z)) \ 1.
(x \ T(x * y,z)) \ 1 = x * T(x \ (y \ 1),z).
(x / y) \ T((x / y) * (z \ 1),x) = (y \ T(y * z,x)) \ 1.
x * T(x \ ((x \ y) \ 1),z) = (x \ T(y,z)) \ 1.
(x / y) * T((x / y) \ z,x) = y \ T(y * z,x).
(x / (x \ 1)) \ (((x \ 1) * y) / (x \ 1)) = T((x / (x \ 1)) \ y,x).
K(x,K(y,T(z,u))) * K(x,K(y,u)) = T(K(x,T(y,u)),z) * K(y,x).
T(x,K(y,z)) * T(u,K(y,z)) = T(x * u,K(y,z)).
T(x * T(y,K(z,u)),K(z,u)) = T(x,K(z,u)) * y.
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x).
T(x / T(y,K(z,u)),K(u,z) * y) = y \ T(x,K(z,u)).
T(x * K(K(y,z),u),K(z,y) * u) = u \ T(x * u,K(y,z)).
T(x * K(y,K(z,u)),K(z,y) * u) = u \ T(x * u,K(y,z)).
(1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u).
(x \ 1) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u).
(x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u).
(x \ 1) \ L((x \ 1) * R(x,y,z),x,y * z) = x * a(x,y,z).
(x \ 1) \ L(x \ R(x,y,z),x,y * z) = x * a(x,y,z).
(x \ 1) \ a(x,y,z) = x * a(x,y,z).
L(a(x,y,z),x,x \ 1) = a(x,y,z).
(a(x,y,z) \ 1) / x = (x * a(x,y,z)) \ 1.
T(a(x,y,z),u) = L(a(x,y,z),x,x \ 1).
T(a(x,y,z),u) = (a(x,y,z) * x) * (x \ 1).
(x * a(x,y,z)) \ 1 = x \ (a(x,y,z) \ 1).
a(x,y,z) \ (x \ a(x,y,z)) = x \ 1.
a(x,y,z) * (x \ 1) = x \ a(x,y,z).
L(x \ 1,a(x,y,z),a(x,y,z) \ 1) = (a(x,y,z) \ 1) * (x \ a(x,y,z)).
((K(x,y) / z) \ K(x,y)) * R(((K(x,y) / z) \ K(x,y)) \ u,w,v5) = (z \ 1) \ R(K(x,y) \ ((K(x,y) / z) * u),w,v5).
(x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)).
(x \ y) * R((x \ y) \ K(x,z),u,w) = x \ (y * R(y \ T(x,z),u,w)).
((x * y) \ x) * R(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * R(y,z,u)).
((x * y) \ y) * R(((x * y) \ y) \ 1,z,u) = (x * y) \ (y * R(T(x,y),z,u)).
(x * y) \ ((x * (y * z)) * R(L(L(z \ 1,z,y),y * z,x),u,w)) = ((x * y) \ (x * (y * z))) * R(((x * y) \ (x * (y * z))) \ 1,u,w).
(x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)).
(x \ y) * L((x \ y) \ K(x,z),u,w) = x \ (y * L(y \ T(x,z),u,w)).
x \ (y * L((y \ x) * K(z,u),w,v5)) = (x \ y) * L((x \ y) \ K(z,u),w,v5).
T((x \ y) * L((x \ y) \ 1,z,u),w) = x \ (y * L(y \ x,z,u)).
((x * y) \ x) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w).
(L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w).
K(x,(y \ (y / z)) \ (u / (z * y))) = K(x,T(u / y,z \ 1)).
K(x,(y \ (y / z)) \ (u / (z * y))) = K(x,T(u / y,z * 1)).
K(x,(y \ (y / z)) \ (u / (z * y))) = K(x,T(u / y,z)).
K(x,y \ ((y * z) * (u / (z * y)))) = K(x,T(u / y,z)).
K(x,y) * (z * R(z \ 1,u,w)) = z * R(z \ K(x,y),u,w).
K(x,y) * (z * L(z \ 1,u,w)) = z * R(z \ K(x,y),u,w).
x \ (a(y,a(z,u,w),v5) * v6) = a(y,a(z,u,w),v5) * (x \ v6).
(a(x,a(y,z,u),w) \ v5) \ v6 = a(x,a(y,z,u),w) * (v5 \ v6).
x \ (y * (a(z,a(u,w,v5),v6) \ x)) = a(z,a(u,w,v5),v6) \ T(y,x).
x \ (a(y,a(z,u,w),v5) \ x) = a(y,a(z,u,w),v5) \ 1.
x * T(x \ ((((y \ 1) * x) \ x) \ 1),y) = (x \ 1) \ ((x \ 1) / y).
(x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1.
(x \ (a(y,a(z,u,w),v5) * (v6 * v7))) * K(v7,v6) = x \ (v7 * (a(y,a(z,u,w),v5) * v6)).
a(x,L(y,z,u),y) = a(x,y,L(y,z,u)).
R(x,y \ 1,z \ 1) / x = (x * L(x \ 1,y,z)) \ 1.
(x * L(x \ 1,y,z)) \ 1 = x \ R(x,y \ 1,z \ 1).
K(x,T(y,z)) * (K(x,T(y,u)) \ x) = K(K(x,y),z) * T(x,K(u,y)).
a(L(x,y,z),x,u) != w | a(x,L(x,y,z),u) = w.
(x * (1 \ x)) \ (((x \ 1) * y) / (x \ 1)) = T((x / (x \ 1)) \ y,x).
T(x \ (y * L(y \ x,z,u)),w) = x \ (y * L(y \ x,z,u)).
(x \ (y * L(y \ x,z,u))) / w = w \ (x \ (y * L(y \ x,z,u))).
((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w).
x \ (y * (a(z,a(u,w,v5),v6) \ x)) = T(a(z,a(u,w,v5),v6) \ y,x).
x * T(x \ ((x \ ((y \ 1) \ x)) \ 1),y) = (x \ 1) \ ((x \ 1) / y).
K(x,T(y,z)) * (K(T(y,u),x) * x) = K(K(x,y),z) * T(x,K(u,y)).
(x * x) \ (((x \ 1) * y) / (x \ 1)) = T((x / (x \ 1)) \ y,x).
T((x / (x \ 1)) \ y,x) = (x * x) \ T(y,x).
T((x * (1 \ x)) \ y,x) = (x * x) \ T(y,x).
T((x * x) \ y,x) = (x * x) \ T(y,x).
(x * x) / T(y,x) = T((x * x) / y,x).
T((x * x) / (y \ x),x) = (x / y) \ (x * x).
T(x / (y \ 1),x) = (x / y) \ (x * x).
(x / y) \ (x * x) = (y \ 1) \ x.
((x \ y) \ 1) \ y = x \ (y * y).
x / (y \ (x * x)) = (y \ x) \ 1.
(x \ y) / (T(y,x) \ ((x \ y) * (x \ y))) = (y \ (y / x)) \ 1.
(x \ y) / (y \ ((y / x) * (x \ y))) = (y \ (y / x)) \ 1.
(x \ y) / (y \ (y * ((x * x) \ y))) = (y \ (y / x)) \ 1.
(x \ y) / ((x * x) \ y) = (y \ (y / x)) \ 1.
x / ((y * y) \ (y * x)) = (x \ (x / y)) \ 1.
x / L(y \ x,y,y) = (x \ (x / y)) \ 1.
L(x / y,y,y) \ x = (x \ (x / y)) \ 1.
L(x,x,y) = (y \ (y / x)) \ 1.
L(x \ 1,x,y) \ 1 = L(x,x,y).
L(T(x,y),T(x,y),y) = (y \ (x \ y)) \ 1.
((x * L(y,z,u)) \ ((x / y) * L(y,z,u))) \ 1 = L(y,y,x * L(y,z,u)).
(x \ ((y \ (y / x)) \ 1)) \ (x \ 1) = L(x,x,y) \ 1.
L(x \ 1,x,y) = L(x,x,y) \ 1.
R(x,x \ 1,y \ 1) = L(x,x,y).
L(L(x,x,y),L(x \ 1,x,y),y) = x.
x * L(x \ 1,x,y) = L(x,x,y) \ x.
L(x,x \ 1,y \ 1) = L(x,x,y).
L(x,x \ 1,y) = L(x,x,y \ 1).
x * L(y,y,x \ 1) = x / (y \ 1).
L(L(x,x,y),L(x \ 1,x,y),z) = L(L(x,x,y),L(x,x,y),z \ 1).
L(L(x,x,y),y \ (x \ y),y) = x.
L(x,x,y) \ x = x * (y \ (y / x)).
x * (L(y,y,z) \ y) = x * (y * (z \ (z / y))).
L(T(x,y),x,y) = (y \ (x \ y)) \ 1.
T(x,y) * L(T(x,y) \ (z * u),w,v5) = ((x / u) * L((x / u) \ z,w,v5)) * u.
((x \ y) * L((T(y,x) / x) \ z,u,w)) * x = T(y,x) * L(T(y,x) \ (z * x),u,w).
(x * (K(y,x) * L(((y * x) / y) \ z,u,w))) * y = (y * x) * L((y * x) \ (z * y),u,w).
(a(x,a(y,z,u),w) \ v5) * v6 = v5 * (a(x,a(y,z,u),w) \ v6).
a(x,a(y,z,u),w) \ (v5 \ v6) = v5 \ (a(x,a(y,z,u),w) \ v6).
(x * a(y,a(z,u,w),v5)) \ v6 = a(y,a(z,u,w),v5) \ (x \ v6).
(x * (y * a(z,a(u,w,v5),v6))) \ v7 = a(z,a(u,w,v5),v6) \ ((x * y) \ v7).
(x \ T((y \ 1) \ x,y)) \ 1 = (x \ 1) \ ((x \ 1) / y).
(x \ (x / (y \ 1))) \ 1 = (x \ 1) \ ((x \ 1) / y).
x * (L(y,y,z \ 1) \ y) = x * (y * ((z \ (z / (y \ 1))) \ 1)).
K(x,T(y,z)) * (K(y,T(x,u)) * x) = K(K(x,y),z) * T(x,K(u,y)).
L(L(x,x,y),L(x,x,y),y \ 1) = x.
L(L(x,y,z) \ u,L(x,y,z),y * z) = (z * (y * x)) \ ((z * y) * u).
(x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)).
(x * (K(x,y) * (z * u))) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u).
(x * (y * T(z,u))) / (x * y) = T((x * (y * z)) / (x * y),u).
T((K(x,y) * (z * u)) / (K(x,y) * z),w) = ((K(x,y) * (z * T(u,w))) / z) * K(y,x).
T(((x * (T(y,z) \ u)) / u) * K(y,z),y) = R(y \ x,y,T(y,z) \ u).
(L(x / y,z,u) * y) * (y \ w) = w * L(w \ (x * (y \ w)),z,u).
(x * L(x \ y,z,u)) * (x \ w) = w * L(w \ (y * (x \ w)),z,u).
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
T(x * L(x \ 1,y,z),x \ K(u,w)) = (x \ K(u,w)) \ (K(u,w) / (L(K(u,w) \ (x \ K(u,w)),y,z) \ 1)).
(T(x,(y * z) \ 1) * z) * T(y,z) = (y * z) * R(x,z,T(y,z)).
x \ ((x * y) * (y \ z)) = z * a(x,y,y \ z).
x * (y * a(x,z,z \ y)) = (x * z) * (z \ y).
a(x,y,(x * y) \ z) = a(x,y,y \ z).
(x \ ((x * y) * (y \ z))) / (u \ z) = z / (u \ (z / a(x,y,y \ z))).
a(x,y,y \ ((x * y) * z)) = a(x,y,z).
a(x,y,y \ (z * (x * y))) = a(x,y,T(z,x * y)).
a(x,x \ 1,(x \ 1) \ y) = a(x,x \ 1,y).
a(x,x \ 1,(x \ 1) * y) = a(x,x \ 1,y).
x * a(x,y,y \ x) = L(x,y,y \ x).
x \ L(x,y,y \ x) = a(x,y,y \ x).
x \ ((y \ (y / x)) \ 1) = a(y,x,x \ y).
(x * (y \ (y / x))) \ 1 = a(y,x,x \ y).
a(x,y,y \ x) = y \ L(y,y,x).
a(x,y,y \ x) \ (y \ 1) = L(y,y,x) \ 1.
a(x,y,y \ x) * y = L(y,y,x).
L(a(x,y,y \ x),y,y \ z) = z \ ((z / y) * L(y,y,x)).
a((x * x) * y,x,x \ ((x * x) * y)) = x \ L(x,x,y).
a(x,y,y \ x) \ y = y * (L(y,y,x) \ y).
a(x,y,y \ x) \ 1 = y * (x \ (x / y)).
a(x,y,y \ x) \ (y \ 1) = L(y \ 1,y,x).
((x * y) * (K(z,u) * w)) / (y * (K(z,u) * w)) = R(x,y * K(z,u),w).
(x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(y,u)).
(x / (y * z)) * (T(y,u) * z) = x / K(u,T(y,z)).
(x / (y * z)) * (T(y,u) * z) = x * K(T(y,z),u).
(x / (y * z)) * (T(y,u) * z) = x * K(y,T(u,z)).
(x / (y * x)) \ (K(y,z) * x) = T(y,z) * x.
(x \ (x / y)) \ (K(y,z) * x) = T(y,z) * x.
L(T(x \ 1,y),x,z) \ z = T(x,y) * z.
(x / L(T(y \ 1,z),y,x)) * R(L(T(y \ 1,z),y,x),u,w) = R(L(T(y \ 1,z),y,x),u,w) * (T(y,z) * x).
((T(x,y) * z) * u) \ ((T(x,y) * z) * (u * w)) = L(w,u,x * z).
L(x,y,T(z,u) * w) = L(x,y,z * w).
(x * y) * z != u * (L(u,y,x) \ (x * y)) | ((x * (y * u)) / u) \ (x * y) = z.
(x \ (y * (x \ 1))) \ ((y * (T(x \ 1,y) * x)) / x) = R(x,x \ 1,y).
K(x,R(y,z,u) \ ((z * u) \ (y * w))) = K(x,(((y * z) * u) / y) \ w).
K(x,(y * (z \ a(u,w,v5))) * a(v6,v7,v8)) = K(z / y,x).
K(x,(y * (z \ a(u,w,v5))) * a(v6,v7,v8)) = K(x,y / z).
K(x,y * (z \ a(u,w,v5))) = K(x,y / z).
(x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,K(y,z) * x).
(T(x,y) * (z * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u).
a(x,K(x,y) * z,u) = a(T(x,y),z,u).
a(x,K(x,y) * z,u) = a(x,z,u).
a(x,T(y,x),z) = a(x,y,z).
(x * (T(y,x) * ((y * x) \ z))) \ z = a(x,y,(y * x) \ z).
(x * (y * ((x * y) \ z))) \ z = a(x,y,(y * x) \ z).
a(x,y,(y * x) \ z) = a(x,y,(x * y) \ z).
a(x,y,(y * x) \ z) = a(x,y,y \ z).
a(x,y,y \ ((y * x) * z)) = a(x,y,z).
a(x / y,L(y,z,u),L(y,z,u) \ (L(y,z,u) * x)) = a(x / y,L(y,z,u),y).
(x \ ((x * y) * (y \ z))) / (u \ z) = z / (u \ (a(x,y,y \ z) \ z)).
R(x,y * K(z,u),w) = R(x,y,K(z,u) * w).
(x \ (y * (x \ 1))) \ ((y * K(y,x)) / x) = R(x,x \ 1,y).
(x \ (y * (x \ 1))) \ (T(y,x) / x) = R(x,x \ 1,y).
(x \ (y * (x \ 1))) \ (x \ y) = R(x,x \ 1,y).
(x \ (y * (x \ 1))) \ (x \ y) = L(x,x \ 1,y).
L(L(x,y,K(z,u)),K(z,u) * y,w) = L(x,y,K(z,u) * w).
L(x,K(y,z) * u,w) = L(x,u,K(y,z) * w).
L(x,y * K(z,u),w) = L(x,y,K(z,u) * w).
((x * (y * z)) * K(u,w)) \ (K(u,T(w,x * (y * z))) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u,T(w,x * (y * z)))).
((x \ R(x,y,z)) * u) / R(x,y,z) = (x * (R(x,y,z) / u)) \ R(x,y,z).
K(x,y * z) * (((x * y) * z) \ u) = ((y * z) * R(x,y,z)) \ u.
T(R(T(x,y),z,u) / w,R(x,z,u)) = K(x,y) * (w \ R(x,z,u)).
T(R(T(x,y),z,u) / w,x) = K(x,y) * (w \ R(x,z,u)).
T(R(T(x,y),z,u) / (x * y),x) = (y * x) \ R(x,z,u).
T((x * y) \ R(x,z,u),x) = (y * x) \ R(x,z,u).
T(x * y,z) \ ((z \ x) * y) = L(R(z \ 1,x,y),z,x).
(x * (y \ x)) / (x * T(x,y \ 1)) = L(L(y \ 1,x,x),y,x).
x / ((x / (x * T(x,y \ 1))) \ y) = L(L(y \ 1,x,x),y,x).
T(x / (x / L(y \ 1,y,x)),z) = (x * K(y \ 1,z)) / (x * y).
T(x / (x / L(y \ 1,y,x)),z) = (x * K(z,y)) / (x * y).
T(x / (x / L(y \ 1,y,x)),z) = x / (x * T(y,z)).
x / (x * T(y,z)) = T(x / (x * y),z).
x / (T(x / (x * x),y \ 1) \ y) = L(L(y \ 1,x,x),y,x).
x / (T(x \ (x / x),y \ 1) \ y) = L(L(y \ 1,x,x),y,x).
L(L(x \ 1,y,y),x,y) = y / (T(y \ 1,x \ 1) \ x).
L(L(x \ 1,y,y),x,y) = y / (x / (y \ 1)).
L(L(x \ 1,y,y),x,y) = ((y \ 1) \ x) \ y.
L(((x \ y) * y) / y,y,y) = (((y \ 1) \ x) \ y) * y.
(((x \ 1) \ y) \ x) * x = L(y \ x,x,x).
(x \ R(x,y,z)) \ ((x \ 1) * (R(x,y,z) * u)) = R(u,R(x,y,z),x \ 1).
T(K(x,T(y,z)),z) * T(u,K(x,T(y,z)) * z) = T(u,z) * K(x,y).
K(x,y) * T(z,K(x,T(y,u)) * u) = T(z,u) * K(x,y).
K(x,y) * T(z,u * K(x,y)) = T(z,u) * K(x,y).
T(x,K(y,z) * u) = T(x,u * K(y,z)).
T(x,K(y,z) * u) = T(x,u * K(z,y)).
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 * y)) = T(x,u * T(y,z)).
T(x,y * K(z,u)) != w | T(x,K(u,z) * y) = w.
T(x,K(y,K(z,u)) * w) = T(x,w).
K(x,K(y,z)) * u = u * K(x,K(y,z)).
K(K(x,y),z) * (u * (w * K(z,K(x,y)))) = u * w.
K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))).
K(x,K(y,z)) * (u \ 1) = u \ K(x,K(y,z)).
T(x,T(y,K(z,u))) = T(x,y).
K(x,T(y,K(z,u))) = K(x,y).
T(x,y) * K(z,K(u,w)) = K(z,K(u,w)) * T(x,y).
x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)).
K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w).
K(x,y) * T(x,K(z,u)) = T(T(x,K(z,u)),y).
T(x,T(T(y,z) / u,y)) = T(x,u \ T(y,z)).
((x * y) / x) * K(y,z) = T(y,z) * K(x,y).
K(x,T(y,K(z,u) * w)) = K(x,T(y,w)).
K(K(x,y) * z,u) = K(z * K(x,y),u).
K(x,K(y,z) * u) = K(x,u * K(y,z)).
K(x,T(y,T(z,u))) = K(x,T(y,z)).
K(x,(y * z) * K(y,u)) = K(x,T(y,u) * z).
K(x,y) * K(z,u) = K(z,u) * K(x,y).
K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w).
K(x,K(y,z) * (u * y)) = K(x,u * T(y,z)).
x \ T(T(x,K(y,z)),u) = K(x,K(y,z)) * K(x,u).
K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))).
T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z).
T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)).
T(x,y * K(z,K(u,w))) = T(x,y).
T(x,T(y,K(z,u)) \ w) = T(x,y \ w).
T(x,y * T(z,K(u,w))) = T(x,y * z).
T(x,K(y,T(z,u))) = T(x,K(y,z)).
K(T(x,y) / z,T(u,x)) = K(z \ T(x,y),u).
T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z).
T(x,y / T(z,K(u,w))) = T(x,y / z).
T(x,y \ T(z,K(u,w))) = T(x,y \ z).
T(x,K(y,z / u)) = T(x,K(y,u \ z)).
R(T(x,y * K(z,u)),w,K(v5,v6)) = T(x,K(u,z) * y).
T(x,K(y,z) * (u * w)) = T(x,u * (w * K(z,y))).
T(x,K(y,z) * (u * (w * K(y,z)))) = T(x,u * w).
T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w.
K(x,T(K(y,z),u)) = K(x,K(y,z)).
K(x,K(y,T(z,u))) = K(x,K(y,z)).
(x * K(y,K(z,u))) / w = K(y,K(z,u)) * (x / w).
T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w).
K(x,K(y,z * u)) = K(x,K(y,u * z)).
T(K(x,T(y,z)),u) * K(y,x) = K(x,K(y,u)) * K(x,K(y,z)).
(K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z.
(K(x,K(y,z)) * u) * K(x,K(y,z)) = u.
K(x,K(y,z)) * (u * K(x,K(y,z))) = u.
x / K(y,K(z,u)) = K(y,K(z,u)) * x.
(x * y) * K(z,K(u,w)) = x * (K(z,K(u,w)) * y).
x \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)).
T(x * K(y,K(z,x * u)),u) = u \ T(x * u,K(y,z)).
K(x,T(y,(z / u) * w)) = K(x,T(y,(u \ z) * w)).
K((x * y) * K(z,x),u) = K(x * (K(z,x) * y),u).
K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))).
K(x,(((y * z) * u) \ w) * K(y,z * u)) = K(x,((z * u) * R(y,z,u)) \ w).
(x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)).
T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)).
T(x,(y * z) * T(L(u,z,y),K(w,v5))) = T(x,y * (z * u)).
T(x,(T(y,K(z,u)) / w) \ 1) = T(x,w / y).
T(x,y \ T(z,K(u,w))) = x * K(x,y \ z).
K(x,K(y,z * (u * w))) = K(x,K(y,w * (z * u))).
K(x,K(y,z)) * (u \ K(x,K(y,z))) = u \ 1.
K(x,K(y,z)) * (u * (w * K(x,K(y,z)))) = u * w.
(x \ (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x \ w.
x / (y * K(z,K(u,w))) = (x / y) * K(z,K(u,w)).
K(x,K(y,z)) * u != w | u * K(K(y,z),x) = w.
K(x,y) * T(x,K(z,u)) = T(x,K(z,u) * y).
K(x,K(T(y,z),u) * (w * K(y,z))) = K(x,(w / y) * T(T(y,z),u)).
T(x,y * (K(z,K(u,w)) * v5)) = T(x,y * v5).
T(x,(T(y,K(z,u)) / w) \ 1) = T(x,(y / w) \ x).
K(x,y \ T(z,K(u,w))) = K(x,y \ z).
K(x,y \ (K(z,u) / w)) = K(x,y \ (w \ K(z,u))).
K(x,y \ T(K(z,u) * w,v5)) = K(x,y \ T(w * K(z,u),v5)).
K(x,y \ T(z,K(u,w) * v5)) = K(x,y \ T(z,v5)).
T(x,y * (T(z,K(u,w)) * v5)) = T(x,y * (z * v5)).
(x * (y * K(z,K(u,w)))) * v5 = K(z,K(u,w)) * ((x * y) * v5).
K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)).
K(x,K(y,z)) * (u * (x * w)) = u * (T(x,K(y,z)) * w).
K(x,K(y,z)) * (u * (K(x,y) * w)) = u * (K(x,T(y,z)) * w).
K(x,K(y,z)) * (u * (w * v5)) = u * (w * (K(x,K(y,z)) * v5)).
x \ (K(y,z) * (K(u,x) * w)) = T(x,u) \ (K(y,z) * w).
K(x,y) * (K(z,u) * ((y * x) * w)) = K(z,u) * ((x * y) * w).
x \ T(x,K(y,z) * u) = K(x,K(y,z)) * K(x,u).
T(x,y * (z * K(u,z))) = T(x,y * T(z,u)).
T(x,y * T(z \ u,z)) = T(x,y * (u / z)).
T(x,y * T(z \ u,z)) = x * K(x,y * (u / z)).
K(x,K(y,z) * (u * (w * K(y,z)))) = x \ T(x,u * w).
T(x,K(y,z) * (u * (K(y,z) * w))) = T(x,u * T(w,K(y,z))).
(x * K(y,K(z,u))) / w = (x / w) * K(y,K(z,u)).
(x * K(y,K(z,u))) / w = (x / w) * K(K(z,u),y).
T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)).
K(x,T(y,(z / u) * w)) = K(x,T(y,z * (u * w))).
x * K(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)).
K(x,K(y,z)) * (u * (w \ K(y,z))) = u * (w \ T(K(y,z),x)).
T(x,(T(y,K(z,u)) / w) \ 1) = x * K(y / w,x).
K(x,(y / z) \ T(y,K(u,w) * v5)) = K(x,z * K(y,v5)).
T(x,T(K(y,z),u) * (w * K(u,y))) = T(x,K(y,z) * (w * K(u,T(y,z)))).
K(x,K(y,z)) * K(x,u) = K(x,K(y,z) * u).
T(x,K(y,K(z,u) * w)) = T(x,K(y,w)).
T(x,y * K(z,K(u,w) * v5)) = T(x,y * K(z,v5)).
K(x,K(y,z)) * (u * K(x,w)) = u * K(x,K(y,z) * w).
T(x,K(y,z * K(u,w))) = T(x,K(y,z)).
T(x,K(y,z * K(u,w))) = K(y,K(x,z)) * x.
K(x,K(y,z * K(u,w))) = K(x,K(y,z)).
K(x,K(y,z * K(u,w))) = K(z,K(x,y)).
K(x,K(y,K(z,u) * w)) = K(w,K(x,y)).
K(x,y * T(z \ u,z)) = K(x,y * (u / z)).
K(x,y * ((z * u) / z)) = K(x,y * T(u,z)).
K(x,y * T(z,u \ 1)) = K(x,y * T(z,u)).
(T(K(x,y),z) / T(K(x,y),u)) / w = (K(K(x,y),z) / w) * K(u,K(x,y)).
(x * K(y,K(z,u))) / w = x / (K(y,K(z,u)) * w).
x / T(K(y,K(z,u)) * w,v5) = (x / T(w,v5)) * K(y,K(z,u)).
K(T(x,K(y,z)) / u,w) = K(x / u,w).
K(T(x,K(y,z)) / u,T(w,x)) = K(u \ x,w).
K(x,T(y,K(z,u)) / w) = (v5 * K(y / w,x)) \ v5.
K(x \ T(y,K(z,u)),w) = K(x \ y,w).
K((x \ (K(y,z) * u)) * K(z,y),w) = K(x \ u,w).
T(x,K(y,K(z,u) * w) * v5) = T(x,v5 * K(y,w)).
T(x,K(K(y,z) * u,w) * v5) = T(x,v5 * K(w,u)).
K(x,T(y,K(z,u)) / w) = K(x,y / w).
K(x,T(y / T(z,u),z) / w) = K(x,(T(z,u) \ y) / w).
K(x \ (K(y,z) \ u),w) = K((x \ u) * K(z,y),w).
T(x,K(y,z * K(u,w)) * v5) = T(x,v5 * K(y,z)).
T(x,K(y,z * (u * K(w,v5))) * v6) = T(x,v6 * K(y,z * u)).
T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y).
T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w).
T(x,K(y,z) * (u \ T(y,w))) = T(x,u \ T(T(y,w),z)).
T(x,K(T(y,z),u) * w) = T(x,K(u,y) * w).
T(x,K(y,z) * (K(u,y) * w)) = T(x,y * (T(T(y,z),u) \ w)).
T(x,y * (z * K(u,T(w,v5)))) = T(x,K(u,w) * (y * z)).
K((x \ y) * K(z,u),w) = K(w,y \ (K(u,z) * x)).
T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w.
T(x,y * (z * (T(u,K(w,v5)) * v6))) = T(x,y * (z * (u * v6))).
x \ (K(y,z) * (K(u,x) * w)) = (K(z,y) * T(x,u)) \ w.
K(x,K(y,z) * (u * (w * K(y,z)))) = K(x,u * w).
K(x,K(y,z) * (u * (w * K(y,z)))) != v5 | K(x,u * w) = v5.
K(x,y * ((z * K(u,w)) * K(u,w))) = K(x,y * z).
K(x,K(y,z) * u) = K(x,u * K(z,y)).
K(x,K(y,z) * u) = K(x,K(z,y) * u).
1 / K(x * K(y,z),u) = K(u,K(z,y) * x).
K(x,(y \ (z * u)) * K(w,u)) = K(x,y \ (z * T(u,w))).
K(K(x,y * K(z,u)) * w,v5) = K(w * K(x,K(u,z) * y),v5).
K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u).
K(x,K(y,z) * (T(y,z) * u)) = K(x,y * u).
K(K(x,y) * z,u) = K(z * K(y,x),u).
K(x * K(y,z),u) = K(u,x \ K(y,z)).
K(K(x,y) * (z * y),u) = K(z * T(y,x),u).
K((x * y) * K(z,x),u) = K(T(x,z) * y,u).
K(x,(y / z) * K(K(u,w) * v5,v6)) = K(x,y * (z \ K(v5 * K(w,u),v6))).
K(x,T(T(y,z),z) * u) = K(x,y * u).
K(x,T(y * z,z) * u) = K(x,(z * y) * u).
K((x * y) * K(z,y),u) = K(x * T(y,z),u).
K(x * (K(y,x) * z),u) = K(T(x,y) * z,u).
K(x,(y * (z \ 1)) * u) = K(x,y * (z \ u)).
K(x * (y * K(z,y)),u) = K(x * T(y,z),u).
K(((x * y) / x) * z,u) = K(T(y,x) * z,u).
K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)).
K(x * (y / (y / z)),u) = K(x * T(z,y),u).
K(T(T(x,y),y) * z,u) = K(x * z,u).
K(x,(y / z) * u) = K(x,y * (z \ u)).
K(x,((y / z) / u) * w) = K(x,y * ((u * z) \ w)).
K(x,y * (z * (K(u,w) * K(u,w)))) = K(x,y * z).
K(x,(y / z) * (u \ w)) = K(x,y * ((u * z) \ w)).
K(x,y * ((z * u) \ w)) = K(x,y * (u \ (z \ w))).
K(x,K(y,z) * (u \ (w \ v5))) = K(x,((w * u) \ v5) * K(z,y)).
K(x,K(y,z * u) * (u \ (z \ w))) = K(x,T(z * u,y) \ w).
K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)).
K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(u,z)).
K((x \ y) * K(z,u),w) = K(w,K(u,z) * (y \ x)).
K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)).
K(x,y \ (z \ (K(u,w) * v5))) = K(x,((z * y) \ v5) * K(w,u)).
K(x,K(y,z) * (((u * w) * v5) \ (u * (w * v5)))) = K(a(u,w,v5) * K(z,y),x).
K(x,y * K(z,K(u,w) * v5)) = K(x,y * K(z,v5)).
K(x,K(K(y,z) * u,w) * v5) = K(x,v5 * K(w,u)).
K(x,(y \ (K(z,u) * w)) * K(v5,w)) = K(x,y \ T(K(z,u) * w,v5)).
K(x,y * K(z,K(u,w))) = K(x,y).
K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)).
K(x,T(y,K(z,u)) * w) = K(x,y * w).
(x \ (y * K(z,K(u,w)))) * K(x,y) = (y * K(z,K(u,w))) / x.
K(x,y * T(z,K(u,w))) = K(x,y * z).
K(x,y / (z * K(u,w))) = K(x,(y / z) * K(w,u)).
K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w).
K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5).
K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)).
K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))).
K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)).
K(x,y * T(z,K(u,w) * v5)) = K(x,y * T(z,v5)).
K(x,(y \ T(z,u)) * K(w,z)) = K(x,y \ T(T(z,u),w)).
K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w).
K(x,y * (T(z \ K(K(u,w),v5),v6) * K(v5,K(u,w)))) = K(x,y * T(K(K(u,w),v5) / z,v6)).
K(x,y * T(z,T(u \ 1,w))) = K(x,y * T(z,u)).
K(x,K(y,z) * (K(u,y) * w)) = K(x,y * (T(T(y,z),u) \ w)).
K(x,y * K(K(z,u) * w,v5)) = K(x,y * K(v5,w)).
K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))).
K(x,L(y,z,u) * (K(w,v5) * (y \ 1))) = K(x,K(w,v5) * (y \ L(y,z,u))).
K(x,y * (z \ K(u,y))) = K(x,T(y,u) / z).
K(x,(y \ K(z,u)) * (w \ K(y * K(z,u),v5))) = K(x,T(y \ K(z,u),v5) / w).
K(x,y * T(z,u * T(w,v5))) = K(x,y * T(z,u * w)).
K(x,y * T(z,(u \ w) \ 1)) = K(x,y * T(z,w / u)).
K(x,T(y / T(z,u),z) / w) = K(x,T(z,u) \ (y / w)).
T(x,(y \ T(z,u)) * K(w,z)) = T(x,y \ T(T(z,u),w)).
T(x,y \ T(T(z,u \ T(z,w)),v5)) = T(x,K(z,v5) * ((y \ z) * K(u,z))).
x \ (K(K(y,z),u) * (K(w,x) * v5)) = T(K(u,K(y,z)) * x,w) \ v5.
K(x,(y \ (z * u)) * K(z,w)) = K(x,y \ (T(z,w) * u)).
K(x,y \ (((z * u) / z) * K(u,w))) = K(x,K(u,w) * (y \ (u * K(z,u)))).
K(x,T(y,z) \ T(u,w * T(v5,v6))) = K(x,T(y \ 1,z) * T(u,w * v5)).
K(x,y * T(z,u / w)) = K(x,y * T(z,u \ w)).
K(x,(y \ z) / (u * K(y,w))) = K(x,T(y,w) \ (z / u)).
K(x,(y \ z) * (u \ K(w,y))) = K(x,T(y,w) \ (z / u)).
K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w.
K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w.
T(K(x,T(y,z)),u) * K(y,x) = K(x,K(y,u) * K(y,z)).
K(x,T(T(y,z),u)) * K(y,x) = K(x,K(y,u) * K(y,z)).
K(x,T(y,z * u)) * K(y,x) = K(x,K(y,z) * K(y,u)).
K(x,K(y,z) * K(y,u)) = K(x,K(y,z * u)).
K(x,K(y,z * (u * u))) = K(x,K(y,z)).
K(x,K(y,z * (z * u))) = K(x,K(y,u)).
K(x,K(y,z) * K(y,z * u)) = K(x,K(y,u)).
K(x,K(y,z \ u)) = K(x,K(y,z * u)).
T(x,K(y,z * (z * u))) = x * K(y,K(x,u)).
x * T(x \ y,K(z,u)) = y * K(z,K(u,y * x)).
K(x,K(y,z)) * K(x,K(y,z * u)) = K(x,K(y,u)).
T(x,K(y,z * (z * u))) = T(x,K(y,u)).
T(x,K(y,z \ u)) = T(x,K(y,z * u)).
T(x,K(y,z / u)) = T(x,K(y,u * z)).
T(x * K(y,K(z,x * u)),u) = T(u \ x,K(y,z)) * u.
(x \ K(y,K(z,u))) * K(y,K(z,w)) = x \ K(y,K(z,w * u)).
x \ T(y * x,K(z,u)) = T(x \ y,K(z,u)) * x.
T(x * K(y,K(z,u)),K(z,y) * u) = T(u \ x,K(y,z)) * u.
(K(x,K(y,z)) * (u * (w * v5))) \ ((u * w) * (K(x,K(y,z)) * v5)) = a(u,w,K(x,K(y,z)) * v5).
K(x,K(y,z)) * (u * (w * v5)) = u * ((w * K(x,K(y,z))) * v5).
K(x,T(y,(z * u) * w)) * ((u * z) * w) = K(u,z) * (((z * u) * w) * K(x,y)).
T(x,K(y,z) * ((u * w) * (K(y,z) * L(v5,w,u)))) = T(x,u * (w * v5)).
K(x,K(y,z)) * (u * (w \ K(y,z))) = u * (w \ K(y,T(z,x))).
x / T(K(y,K(z,u)) * T(w,v5),v6) = (x / T(T(w,v6),v5)) * K(y,K(z,u)).
T(x,K(y,z) * (u * K(w,z))) = T(x,z * (T(T(z,w),y) \ u)).
T(x,K(y,z) * (K(y,u) * w)) = T(x,y * (T(T(y,u),z) \ w)).
K(x,y \ (z \ (K(u,w) * v5))) = K(x,K(u,w) * (y \ (z \ v5))).
((x \ y) * K(z,K(u,w))) * K(x,y) = (y * K(z,K(u,w))) / x.
K(x,(K(y,z) * u) * K(w,z)) = K(x,z * (T(T(z,w),y) \ u)).
K(x,K(y,z) * (u * K(z,w))) = K(x,z * (T(T(z,w),y) \ u)).
(x \ K(y,K(z,u))) * K(w,K(y,z)) = x \ K(y,K(z,w * u)).
T(x * K(y,K(z,u)),K(u,z) * y) = T(y \ x,K(z,u)) * y.
T(x * K(y,K(z,u)),K(u,z) * (K(w,v5) * y)) = T((K(w,v5) * y) \ x,K(z,u)) * (K(w,v5) * y).
K(x,K(y,z)) * ((u * w) * L(v5,w,u)) = u * ((w * K(x,K(y,z))) * v5).
((x \ y) * K(z,K(u,w))) * K(x,y) = y / (K(z,K(u,w)) * x).
K(x,K(y,z) * (u * K(w,z))) = K(x,z * (T(T(z,w),y) \ u)).
(K(x,K(y,z)) / u) * K(w,K(x,y)) = u \ K(x,K(y,w * z)).
T(x * K(y,K(z,u)),K(w,v5) * (K(u,z) * y)) = T(T(y \ x,K(z,u)) * y,K(w,v5)).
(x \ (K(y,K(z,u)) * w)) * K(x,w) = w / (K(y,K(z,u)) * x).
K(x,K(y,z) * (u * K(w,y))) = K(x,y * (T(T(y,w),z) \ u)).
(K(K(x,y),z) / u) * K(w,K(x,y)) = u \ K(x,K(y,w * z)).
(x \ (K(K(y,z),u) * w)) * K(x,w) = w / (K(u,K(y,z)) * x).
(K(K(x,y),z) / u) * K(w,K(x,y)) = K(x,K(y,w * z)) / u.
((K(x,K(y,z)) * u) \ w) * K(u,w) = w / (K(x,K(y,z)) * u).
K(K(x,K(y,z)) * u,w) = K(u,w).
K(x * T(y,K(z,u)),w) = K(x * y,w).
K(x * K(y,K(z,u) * w),v5) = K(x * K(y,w),v5).
K(x * (y * (z * K(y,u))),w) = K(x * (T(y,u) * z),w).
K(K(x,y * K(z,u)) * w,v5) = K(w * K(x,y),v5).
K(x,K(y,T(z,u)) * (w * K(y,u))) = K(x,(w / y) * T(T(y,u),z)).
K(x,y \ T(K(z,u) * w,v5)) = K(x,y \ (K(z,u) * T(w,v5))).
K(x,y \ T(K(z,u) * w,v5)) = K(x,K(z,u) * (y \ T(w,v5))).
K(x,y \ T(z * K(u,w),v5)) = K(x,K(u,w) * (y \ T(z,v5))).
x \ (K(y,K(z,u)) * (K(w,x) * v5)) = T(K(y,K(z,u)) * x,w) \ v5.
K(x,K(y,z) * (u * K(z,w))) = K(x,(u / z) * T(T(z,w),y)).
K(x,(y / z) * T(T(z,u),w)) = K(x,z * (T(T(z,u),w) \ y)).
(x \ (K(y,x) * z)) * K(u,K(w,v5)) = T(K(u,K(w,v5)) * x,y) \ z.
T(K(x,K(y,z)) * u,w) \ v5 = (T(u,w) \ v5) * K(x,K(y,z)).
K(x,y * T((T(z,u) \ 1) * K(w,K(v5,v6)),v7)) = K(x,y / T(T(K(w,K(v5,v6)) * z,u),v7)).
T(x,K(y,z) * ((u * w) * L(K(y,z) * v5,w,u))) = T(x,u * (w * v5)).
(x * (y * K(z,K(u,w)))) * L(v5,y,x) = x * ((y * K(z,K(u,w))) * v5).
T(x,K(y,z) * (u * (w * (K(y,z) * v5)))) = T(x,u * (w * v5)).
a(T(x,y) * K(y,T(T(x,y),z)),T(y,z),u) = a(T(x,y),T(T(y,x),z),u).
K(x,y \ ((z * u) * (w / (u * z)))) = K(x,K(z,u) * (y \ T(w,z * u))).
(x \ (x / y)) * R(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * R(y,z,u)).
x \ (y * L(y \ T(x,T(x \ y,z)),u,w)) = (x \ y) * L(T((x \ y) \ 1,T(x,z)),u,w).
(x \ y) * ((((x \ y) \ K(x,z)) \ L((x \ y) \ K(x,z),u,w)) / (((x \ y) \ K(x,z)) \ 1)) = x \ (y * L(y \ T(x,z),u,w)).
(x \ (x / y)) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)).
R(x,y,z) / (x * (u \ R(x,y,z))) = (x * (R(x,y,z) / u)) \ R(x,y,z).
(x * (R(x,y,z) / (u * x))) \ R(x,y,z) = R(u,x,x \ R(x,y,z)).
(x * ((x * y) \ R(x,z,u))) \ R(x,z,u) = R(y,x,x \ R(x,z,u)).
R(x,y,z) \ ((x * u) * (x \ R(x,y,z))) = R(u,x,x \ R(x,y,z)).
T(x,T(K(y,z),u) * (w * K(u,y))) = T(x,K(u,y) * (K(y,z) * w)).
T(x,K(y,T(z,u)) * (w * K(u,y))) = T(x,K(u,y) * (K(y,z) * w)).
T(x,K(y,z) * (K(z,u) * w)) = T(x,K(u,z) * (w * K(y,z))).
T(x,K(y,z) * (K(z,u) * w)) = T(x,z * (T(T(z,y),u) \ w)).
(K(x,T(y,z)) / T(K(x,y),u)) / w = (K(K(x,y),z) / w) * K(u,K(x,y)).
K(x,y * (z \ K(u * K(w,v5),v6))) = K(x,(y / z) * K(v6,u)).
K(x,y * (z \ K(u * K(w,v5),v6))) = K(x,y * (z \ K(v6,u))).
K(x,y \ (((z * u) / z) * K(u,w))) = K(x,K(u,w) * ((y \ u) * K(z,u))).
K(x,T(y,z) \ T(u,w * T(v5 \ 1,v6))) = K(x,T(y \ 1,z) * T(u,w / v5)).
x / T(T(K(y,K(z,u)) * w,v5),v6) = (x / T(T(w,v6),v5)) * K(y,K(z,u)).
a(T(x,y) * K(y,T(x,z)),T(y,z),u) = a(T(x,y),T(T(y,x),z),u).
a(T(x,K(y,z)),T(y,z),u) = a(T(x,y),T(T(y,x),z),u).
K(x,K(y,z) * (y \ T(u,y * z))) = K(x,T(u / y,z)).
K(x,T(y,z) \ T(u,y * z)) = K(x,T(u / y,z)).
(x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * R(y,z,u)).
(x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * L(y,z,u)).
(K(x,T(y,z)) / K(x,T(y,u))) / w = (K(K(x,y),z) / w) * K(u,K(x,y)).
K(x,y \ (((z * u) / z) * K(u,w))) = K(x,u * (T(T(u,z),w) \ (y \ u))).
x \ ((x / y) * R((x / y) \ x,z,u)) = (x * y) \ (x * R(y,z,u)).
(x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)).
a(x,y,z) = (y * z) \ (((y * z) / x) * R(x,y,z)).
a(x,y,z) = (y * z) \ (x \ ((x * y) * z)).
x \ ((x * y) * z) = (y * z) * a(x,y,z).
x \ ((x * y) * z) = a(x,y,z) * (y * z).
(x * y) \ (z \ ((z * y) * T(x,y))) = a(z,y,T(x,y)).
x * ((y * z) * a(x,y,z)) = (x * y) * z.
a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z).
(x * L(y,x,z)) * a(z,x,L(y,x,z)) = x * y.
((x \ y) * z) * a(x,x \ y,z) = x \ (y * z).
((x * x) * (x \ y)) / (x * y) = a(x,x,y).
a(x,x \ y,z) * ((x \ y) * z) = x \ (y * z).
(x * y) * ((z \ ((z * x) * y)) \ (x * y)) = a(z,x,y) \ (x * y).
L(x \ 1,y,z) \ ((x * L(x \ 1,y,z)) * u) = a(L(x \ 1,y,z),x,u) * (x * u).
a(x,x,x \ y) = a(x,x,y).
a(x,y,(x * y) \ (x * z)) = (y * L(y \ z,y,x)) \ (y * (y \ z)).
L(L(x,y,z),y,a(z,y,L(x,y,z))) = L(L(x,y,z),y,y \ (y * x)).
L(L(x,y,z),y,a(z,y,L(x,y,z))) = (y * a(z,y,L(x,y,z))) \ (y * x).
T(x,y \ (z * u)) = T(x,(y \ z) * u).
x * (a(L(x,y,z),L(x,y,z) \ (x \ L(x,y,z)),u) * ((L(x,y,z) \ (x \ L(x,y,z))) * u)) = L(u,x \ L(x,y,z),x).
T(x,(y \ (y / z)) * u) = T(x,z \ u).
T(x,(y / z) \ u) = T(x,(z / y) * u).
x * (R(x,y,z) \ (y * z)) = a(x,y,z) \ (y * z).
a(x,y,(x * y) \ (x * z)) = (y * L(y \ z,y,x)) \ z.
a(x,y,y \ (x * z)) = (y * L(y \ z,y,x)) \ z.
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).
x \ ((x / y) * L((x / y) \ x,z,u)) = (x * y) \ (x * L(y,z,u)).
(x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)).
L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)).
(x * y) \ (((x * y) / z) * L(z,y,x)) = ((x * y) * z) \ (x * (y * z)).
((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z).
(x * y) \ ((x * (y * T(z,y))) / T(z,y)) = ((x * y) * T(z,y)) \ (x * (z * y)).
(K(x,T(y,z)) * K(T(y,u),x)) / w = (K(K(x,y),z) / w) * K(u,K(x,y)).
K(x,y * (T(T(y,z),u) \ (w \ y))) = K(x,w \ (T(y,u) * K(z,y))).
K(x,y * (T(T(y,z),u) \ (w \ y))) = K(x,(w \ T(y,u)) * K(z,y)).
K(x,y * (T(T(y,z),u) \ (w \ y))) = K(x,w \ T(T(y,u),z)).
(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).
T(a(x,y,L(z,y,x)) * y,z) = (L(z,y,x) \ y) * z.
T(x * a(y,x,L(z,x,y)),z) = (L(z,x,y) \ x) * z.
(K(x,T(y,z)) * K(y,T(x,u))) / w = (K(K(x,y),z) / w) * K(u,K(x,y)).
K(x,T(y,z)) * K(y,T(x,u)) = K(x,K(y,u * z)).
K(x,T(y,z)) * (K(y,T(x,u)) * w) = K(x,K(y,u * z)) * w.
K(x,T(y,z)) * (K(y,T(x,u)) * x) = T(x,K(y,u * z)).
K(K(x,y),z) * T(x,K(u,y)) = T(x,K(y,u * z)).
K(x,K(y,z)) * T(x,K(u,y)) = T(x,K(y,u * z)).
K(x,K(y,z)) * T(x,K(y,u)) = T(x,K(y,u * z)).
T(x,K(y,z) * K(y,u)) = T(x,K(y,z * u)).
T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u * z)).
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)).
(x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)).
(x / y) \ (x * (K(y,x) * ((x / y) * L((x / y) \ 1,z,u)))) = T(y * ((x / y) * L((x / y) \ 1,z,u)),x / y).
(x * (y * ((z \ (z / (y \ 1))) \ 1))) * y = (x * y) * (y * L(y \ 1,y \ 1,z)).
(K(x,y) * (z * x)) * L(u,T(x,y),T(z,x)) = T(z,x) * (T(T(x,z),y) * u).
T(x * L(x \ y,z,u),(y / x) \ 1) = T(L(y / x,z,u) * x,x).
T(x * L(x \ y,z,u),x / y) = T(L(y / x,z,u) * x,x).
T(x * L(x \ y,z,u),x / y) = T(x * L(x \ y,z,u),x).
T(x * L(x \ y,z,u),x / y) = L(x \ y,z,u) * x.
(x * ((x \ y) * y)) / ((y \ x) * ((y \ x) \ y)) = L(y,y \ x,(y \ x) \ y).
a((x * y) \ ((y * x) / z),x,y) = z * L(z \ 1,x,y).
a(T((x * y) / z,y * x) / (y * x),y,x) = z * L(z \ 1,y,x).
a(T(x \ (y * z),K(y,z)) / (z * y),z,y) = x * L(x \ 1,z,y).
a((x * y) \ T(z \ (y * x),K(y,x)),x,y) = z * L(z \ 1,x,y).
a(T((x * y) \ (z \ (y * x)),K(y,x)),x,y) = z * L(z \ 1,x,y).
a((x * y) \ (z \ (y * x)),x,y) = z * L(z \ 1,x,y).
K(x,(((y * z) * u) \ w) * K(y,z * u)) = K(x,R(y,z,u) \ ((z * u) \ w)).
K(x,K(y,z) * (u \ ((w * v5) \ (w * (v5 * u))))) = K(a(w,v5,u) * K(z,y),x).
(K(x,y) * (z * x)) * L(u,T(x,y),z) = T(z,x) * (T(T(x,z),y) * u).
K(x,y) * ((z * x) * L(u,T(x,y),z)) = T(z,x) * (T(T(x,z),y) * u).
K(x,y) * ((z * x) * L(u,x,z)) = T(z,x) * (T(T(x,z),y) * u).
T(x,y) * (T(T(y,x),z) * u) = K(y,z) * (x * (y * u)).
L(x,x \ y,(x \ y) \ x) = (y * ((y \ x) * x)) / x.
L(x,x \ y,(x \ y) \ x) = L(x,y \ x,y).
L(x,x \ y,(y \ x) * x) = L(x,y \ x,y).
K(x,((y * z) * u) \ (T(y,z * u) * w)) = K(x,R(y,z,u) \ ((z * u) \ (y * w))).
K(x,K(y,z) * (u \ L(u,w,v5))) = K(a(v5,w,u) * K(z,y),x).
K(x,L(y,z,u) * (K(w,v5) * (y \ 1))) = K(a(u,z,y) * K(v5,w),x).
K(x,L(y,z,u) * (K(w,v5) / y)) = K(a(u,z,y) * K(v5,w),x).
K(x,L(y,z,u) * (y \ K(w,v5))) = K(a(u,z,y) * K(v5,w),x).
R(x \ L(x,y \ 1,L(y,z,u)),x,y \ L(y,z,u)) = a(x,y \ 1,L(y,z,u)).
R(x \ L(x,L(y,z,u),y \ 1),x,y \ L(y,z,u)) = a(x,L(y,z,u),y \ 1).
K(((x / y) * z) * (x / (x / y)),u) = K(y * ((y \ x) * z),T(u,(y \ x) * z)).
((x / y) * (y * (y \ 1))) / (y \ 1) = (x / (y \ 1)) * (T(x,y) \ (y \ x)).
(x / (y \ 1)) * (T(x,y) \ (y \ x)) = (x / y) / (y \ 1).
(x / (y \ 1)) * (x \ (x / y)) = (x / y) / (y \ 1).
(x / (y \ 1)) * (x \ (x / y)) = (y \ 1) \ (y \ x).
x * (((x * y) * (y \ 1)) \ x) = (y \ 1) \ (y \ x).
x * (L(x,y,y \ 1) \ x) = (y \ 1) \ (y \ x).
((x * y) * (z * K(u,w))) / (y * (z * K(u,w))) = R(R(x,y,z),y * z,K(u,w)).
x \ (x * (y * R(y \ 1,x,y))) = a(x \ (x / y),x,y).
a(x \ (x / y),x,y) = y * R(y \ 1,x,y).
x * R(x \ 1,y,x) = 1.
R(x \ 1,y,x) = x \ 1.
R((x \ 1) \ 1,y,x \ 1) = x.
L(x \ 1,y,x) = x \ 1.
(L(x \ 1,y,z) * u) * x = L(x \ 1,y,z) * (u * x).
(x \ 1) \ L(y,x \ 1,x) = x * y.
(x * y) * (x \ 1) = x * (y * (x \ 1)).
L(L(x \ 1,y,z),u,x) = L(x \ 1,y,z).
x \ (y * (x \ 1)) = (x \ y) * (x \ 1).
R(x,y,x \ 1) = x.
L(x,y,x \ 1) = x.
x \ L(y,x,x \ 1) = (x \ 1) * y.
L(R(x,y,z),u,x \ 1) = R(x,y,z).
L(L(x,y,z),u,x \ 1) = L(x,y,z).
L(x,y \ 1,y) = L(x,y,y \ 1).
(x * (y \ 1)) * y = L(x,y,y \ 1).
x * ((x \ 1) * y) = L(y,x,x \ 1).
L(x \ 1,y,y \ 1) = y * ((x * y) \ 1).
L((x \ 1) \ y,x,x \ 1) = x * y.
L(x,y,y \ 1) / y = x * (y \ 1).
x \ L(x,y,y \ 1) = a(x,y \ 1,y).
L(x,y,y \ 1) \ x = a(y,y \ 1,x).
x \ ((x \ 1) * y) = (x \ 1) * (x \ y).
R(x,y,(y \ 1) * x) = L(x,y,y \ 1).
L(x,x,L(y,x,x \ 1)) = L(x,x,(x \ 1) * y).
(x \ 1) * (y * T(R(x,z,u),(x \ 1) * y)) = R(x,z,u) * ((x \ 1) * y).
((x \ 1) * (y * L(x,z,u))) / (y * L(x,z,u)) = R(x \ 1,y,L(L(x,z,u),y,x \ 1)).
x / (y \ L(y,x,x \ 1)) = L(x,x,y \ x).
L(x,x,(x \ 1) * y) \ L(y,x,x \ 1) = L((x \ 1) * y,x,x).
(x * (y * (x \ 1))) * R((x * y) \ ((x * y) / (x \ 1)),z,u) = (x * y) * ((x \ 1) * R((x \ 1) \ 1,z,u)).
((x \ y) * (x \ 1)) \ (x \ y) = L(x,x \ 1,y).
a(x,y \ 1,y) = a(x,y,y \ 1).
a(x,y,y \ 1) \ 1 = a(y,y \ 1,x).
a(x,x \ 1,x \ y) = (x \ y) * ((y \ 1) * x).
x / (x * a(y,y \ 1,x)) = L(x,y,y \ 1) / x.
x * a(y,y \ 1,x) = (y \ 1) \ (y \ x).
(x \ 1) * (x \ ((x \ 1) \ y)) = x \ y.
R((x \ 1) \ y,x,(x \ 1) * ((x \ 1) \ y)) = x * y.
(x \ 1) \ (x \ y) = x \ ((x \ 1) \ y).
(x / y) / (y \ 1) = y \ ((y \ 1) \ x).
(x \ ((x \ 1) \ y)) \ 1 = x \ ((y / x) \ 1).
L(L(L(x \ 1,y,z),u,w),v5,x) = L(L(x \ 1,y,z),u,w).
(a(x,y,z) \ 1) * (x \ a(x,y,z)) = a(x,y,z) * ((x * a(x,y,z)) \ 1).
x * a(y,y \ 1,x) = y \ ((y \ 1) \ x).
x / a(y,x,x \ 1) = L(x,x,y \ x).
a(x,y,y \ 1) \ y = L(y,y,x \ y).
L(x,x \ 1,x \ y) = L(x,x \ 1,y).
(x \ y) \ ((x \ y) / (x \ 1)) = L(x,x \ 1,y).
L(x,x \ 1,x * y) = L(x,x \ 1,y).
(x / y) \ ((y \ 1) \ (y \ x)) = L(y,y \ 1,x).
(x / y) \ (y \ ((y \ 1) \ x)) = L(y,y \ 1,x).
(x / y) \ (y \ ((y \ 1) \ x)) = L(y,y,x \ 1).
x / (y \ ((y \ 1) \ x)) = L(x,y,y \ 1) / x.
x / (y \ ((y \ 1) \ x)) = x \ L(x,y,y \ 1).
x / (y \ ((y \ 1) \ x)) = a(x,y,y \ 1).
(x \ y) \ ((x \ 1) * y) = a(y,x,x \ 1).
a(x,y,y \ 1) * (y \ x) = (y \ 1) * x.
(x \ y) * ((y \ 1) * x) = a(y,x,x \ 1) \ 1.
(x \ y) * ((y \ 1) * x) = a(x,x \ 1,y).
a(x,x \ 1,x \ y) = a(x,x \ 1,y).
a(x,x \ 1,x * y) = a(x,x \ 1,y).
R((x \ 1) \ y,x,y) = x * y.
L((x \ 1) \ y,x,y) = x * y.
R(x \ y,x \ 1,y) = (x \ 1) * y.
x \ L(x * y,x,y) = (x \ 1) * (x * y).
((x \ 1) * y) \ ((x \ y) \ R(x \ y,x \ 1,y)) = (x \ y) \ 1.
L(x,y,x / y) / y = (y \ 1) * (y * (x / y)).
L(x,y,y \ x) / y = (y \ 1) * (y * (x / y)).
L(x / y,y,y \ 1) = L(x,y,y \ x) / y.
L(x,y,y \ x) / y = x * (y \ 1).
L(x,y,y \ 1) = L(x,y,y \ x).
L(x,y,y \ x) = y * ((y \ 1) * x).
x \ L(x,y,y \ x) = a(x,y,y \ 1).
L(x,x \ y,(x \ y) \ 1) = L(x,x \ y,(y \ x) * x).
L(x,x,L(y,x,x \ y)) = L(x,x,(x \ 1) * y).
a(x,x \ 1,L(y,x,x \ y)) = a(x,x \ 1,(x \ 1) * y).
a(x,y,y \ 1) = a(x,y,y \ x).
a(x,y,y \ 1) = y \ L(y,y,x).
a(x,y,y \ 1) * y = L(y,y,x).
a(x,y,y \ x) \ 1 = a(y,y \ 1,x).
a(x,y,y \ x) \ y = L(y,y,x \ y).
x \ L(x,x,y \ 1) = a(x,x \ 1,y).
x * a(x,x \ 1,y) = L(x,x,y \ 1).
x \ ((x / y) * L(y,y,z)) = L(a(z,y,y \ 1),y,x).
(L(x,x,y) * z) / (x * z) = R(a(y,x,x \ 1),x,z).
L(a(x,y,y \ 1),y,z) \ (L(y,y,x) * z) = y * z.
x * (y \ (y / x)) = a(x,x \ 1,y).
a(x,x \ 1,y) = L(x,x,y) \ x.
(x \ (x / y)) \ a(y,y \ 1,x) = y.
x \ a(x,x \ 1,y) = L(x \ 1,x,y).
a(x,x \ 1,y) \ x = L(x,x,y).
L(x,x,y \ 1) \ x = a(y,x,x \ 1).
a(x,x \ 1,y \ x) = a(y,x,x \ 1).
x * (L(x,x,y) \ x) = L(x,x,y \ x).
x \ L(x,x,y \ x) = L(x,x,y) \ x.
x * (L(y,y,z \ 1) \ y) = x * a(z,y,y \ 1).
a(x,x \ 1,x \ (y \ x)) = a(y * x,x,x \ 1).
x * a(x,x \ 1,y) = L(x,x,y \ x).
L(x,x,y \ 1) = L(x,x,y \ x).
x * L(y,y,x \ y) = x / (y \ 1).
L(x,x,y \ x) = y \ (y / (x \ 1)).
a(x * y,y,y \ 1) = a(y,y \ 1,x \ y).
a(x * y,y,y \ 1) = a(x,y,y \ 1).
a(x * (y \ 1),y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y).
L(a(x,y,y \ x),y,y \ z) = L(a(x,y,y \ 1),y,z).
(L(x,x,y) * z) / (x * z) = L(a(y,x,x \ 1),x,z).
L(a(x,y,y \ 1),y,y \ z) * z = L(y,y,x) * (y \ z).
(L(x \ 1,y,z) * (u * x)) * K(x,u) = x * (L(x \ 1,y,z) * u).
L(x,x \ y,(y \ x) * x) = y * ((x \ y) \ 1).
L(x,y \ x,y) = y * ((x \ y) \ 1).
(x / y) * ((x \ (x / y)) \ 1) = L(x,y,x / y).
(x / y) * ((x \ (x / y)) \ 1) = L(x,y,y \ x).
(x \ y) * ((y \ (x \ y)) \ 1) = L(y,x,x \ y).
(x \ y) * L(T(x,y),x,y) = L(y,x,x \ y).
L(x,x,y) * (x \ y) = L(y,x,x \ y).
L(x,x,y) \ L(y,x,x \ 1) = x \ y.
x \ L(x,y,y \ x) = L(x,y,y) \ x.
a(x,y,y \ 1) = L(x,y,y) \ x.
a(x,y,y \ x) = L(x,y,y) \ x.
(L(x,y,y) \ 1) * x = a(x,y,y \ 1).
a((x * x) * y,x,x \ ((x * x) * y)) = (x * (x * y)) \ ((x * x) * y).
a(x * (y \ 1),y \ 1,(y \ 1) \ 1) = a(x,y,y \ 1).
L(a(x,y,y \ 1),y,y \ z) = L(a(x,y,y \ 1),y,z).
a(x * (y \ 1),y \ 1,y) = a(x,y,y \ 1).
a(x * (y \ 1),y,y \ 1) = a(x,y,y \ 1).
a(x,x \ 1,L(y,x,x \ y)) = a(x,x \ 1,y).
a(x,x \ 1,L(y,x,x \ y)) = L(x,x,y) \ x.
L(x,x,L(y,x,x \ y)) = L(x,x,y).
L(x,x,(x \ 1) * y) = L(x,x,y).
L(a(x,y,y \ 1),y,z) * z = L(y,y,x) * (y \ z).
L(x,x,y) \ L(y,x,x \ 1) = L((x \ 1) * y,x,x).
L((x \ 1) * y,x,x) = x \ y.
x \ ((x \ 1) \ y) = L(y,x,x).
x * L(y,x,x) = (x \ 1) \ y.
a(x,x \ 1,y) = y \ L(y,x,x).
x \ ((y / x) \ 1) = L(y \ 1,x,x).
(((x \ 1) \ y) \ x) * x = L(y,x,x) \ x.
x \ ((y / x) \ 1) = L(y,x,x) \ 1.
(x / y) \ L(x,y,y) = L(y,y,x \ 1).
L(L(x,y,y \ 1),y,y) = x.
L(x * (y \ 1),y,y) = x / y.
L(x \ 1,y,y) = L(x,y,y) \ 1.
L(x \ 1,y,y) * x = a(x,y,y \ 1).
x * L(x \ 1,y,y) = a(x,y,y \ 1).
L(x \ y,y,y) = L(x,y,y) \ y.
L(x \ y,y,y) = x \ L(y,y,x).
((x \ 1) * y) \ ((x \ y) \ ((x \ 1) * y)) = (x \ y) \ 1.
((x \ 1) * y) \ a(y,x,x \ 1) = (x \ y) \ 1.
L(x \ 1,y,z) * (x * u) = x * (L(x \ 1,y,z) * u).
a((x * x) * y,x,x \ ((x * x) * y)) = a(x,x,y).
x \ L(x,x,y) = a(x,x,y).
x * a(x,x,y) = L(x,x,y).
a(x,y,y \ 1) = a(y,y,x).
a(x,y,y \ x) = a(y,y,x).
a(x,x,y \ x) = L(x,x,y) \ x.
a(x,x \ 1,y) = a(x,x,y \ 1).
a(x,x,y) * x = L(x,x,y).
a(x,x \ 1,y) = a(x,x,y \ x).
x * L(a(y,y,z),y,y \ x) = (x / y) * L(y,y,z).
(a(x,x,y) * z) \ (x \ (L(x,x,y) * z)) = a(x,a(x,x,y),z).
x * L(x \ 1,y,y) = a(y,y,x).
a(x,y \ 1,y) = a(y,y,x).
a(x,x,y * (x \ 1)) = a(y,x,x \ 1).
L(x,y,y) * a(y,y,x) = x.
a(x,x \ 1,y) = a(x,x,y) \ 1.
L(x,x,y \ x) = a(x,x,y) \ x.
a(x,x,y) * (x \ y) = (x \ 1) * y.
((x \ 1) * y) \ a(x,x,y) = (x \ y) \ 1.
a(x,x,y) \ (x \ 1) = L(x \ 1,x,y).
a(a(x,x,y),x,z) \ (L(x,x,y) * z) = a(x,x,y) * (x * z).
R(a(x,x,y),x,x \ z) = z / (x * (L(x,x,y) \ z)).
(a(x,x,y) * z) \ (L(x,x,y) * (x \ z)) = a(a(x,x,y),x,x \ z).
(x / y) * a(y,y,x * (y \ 1)) = x * (y \ 1).
a(x,x,y \ 1) = y \ L(y,x,x).
L(x,x,y) * a(x,x,y \ 1) = x.
(x \ (x / y)) \ a(y,y,x \ 1) = y.
x \ a(x,x,y \ 1) = L(x \ 1,x,y).
a(x,x,y \ 1) = a(x,x,y \ x).
a(x,x,y \ 1) = a(x,x,y) \ 1.
a(a(x,y,z),a(x,y,z),x \ a(x,y,z)) * (x \ 1) = (a(x,y,z) \ 1) * (x \ a(x,y,z)).
a(x,x,y * (x \ 1)) = a(x,x,y).
a(x,x,(x * y) \ 1) = a(x,x,y \ 1).
K(x,((y \ 1) * z) \ (a(y,y,z) / u)) = K(x,((y \ z) \ 1) / u).
(x / y) * a(y,y,x) = x * (y \ 1).
T(x,a(y,y,z) \ ((z / y) \ u)) = T(x,(z * (y \ 1)) \ u).
T(x,a(y,y,z) \ ((z / y) \ u)) = T(x,(y \ 1) \ (z \ u)).
T(x,a(y,y,z) \ ((z / y) \ u)) = T(x,y * (z \ u)).
T(x,(y / z) \ u) = T(x,z * (y \ u)).
T(x,(y / z) * u) = T(x,y * (z \ u)).
K(x,T(y,z * (u \ w))) = K(x,T(y,z * (u * w))).
K(x,T(y,(z * u) * w)) = K(x,T(y,u * (z * w))).
K(x,T((y * z) \ u,z * (y * w))) = K(x,T(u / (y * z),w)).
(a(x,x,y) * z) \ (L(x,x,y) * (x \ z)) = a(x,a(x,x,y),z).
K(x,T(y \ (z \ u),y * (z * w))) = K(x,T(u / (z * y),w)).
K(x,T((y \ z) / u,y * w)) = K(x,T(z / (y * u),w)).
K(x,T(y / (z * u),z * w)) = K(x,T((z \ y) / u,w)).
K(x,T((y \ z) / u,w)) = K(x,T(y \ (z / u),w)).
K(x,((y \ 1) * z) \ (a(y,y,z) / u)) = K(u * (y \ z),x).
K(x,((y \ 1) * z) \ (u \ a(y,y,z))) = K(u * (y \ z),x).
K(x,((y \ 1) * z) * (u \ a(z,z,y))) = K(u * (z \ y),x).
K(x,((y \ 1) * z) / u) = K(u * (z \ y),x).
K(x,(y \ 1) / (z / u)) = K(z * (u \ y),x).
K((x / y) * z,u) = K(x * (y \ z),u).
a(a(x,x,y),x,x \ z) = a(x,a(x,x,y),z).
(x \ 1) * (y * T(R(x,z,u),x \ y)) = R(x,z,u) * ((x \ 1) * y).
(x \ 1) * (y * R(T(x,x \ y),z,u)) = R(x,z,u) * ((x \ 1) * y).
(x \ 1) * (y * R(T(x,y),z,u)) = R(x,z,u) * ((x \ 1) * y).
R(x,y,z) * ((x \ 1) * u) = (x \ 1) * (R(x,y,z) * u).
(x \ R(x,y,z)) \ ((x \ 1) * (R(x,y,z) * u)) = L(u,x \ 1,R(x,y,z)).
((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u).
(a(x,y,z) \ 1) * (x \ a(x,y,z)) = a(x,y,z) * (x \ (a(x,y,z) \ 1)).
R(x,R(y,z,u),y \ 1) = L(x,y \ 1,R(y,z,u)).
L(x,R(y,z,u),y \ 1) = L(x,y \ 1,R(y,z,u)).
L(x,L(y,z,u),y \ 1) = L(x,y \ 1,R(y,z,u)).
L(x,L(y,z,u),y \ 1) = L(x,y \ 1,L(y,z,u)).
(x \ (y \ x)) * R(((y * x) \ x) \ 1,z,u) = (y * x) \ (x * R(T(y,x),z,u)).
x \ (y * L((y \ x) * K(z,x \ y),u,w)) = (x \ y) * L(T((x \ y) \ 1,z),u,w).
a(x / y,L(y,z,u),y) = a(x / y,L(y,z,u),x).
a(x \ y,L(x,z,u),y) = a(y / x,L(x,z,u),x).
a(x \ y,L(x,z,u),y) = a(y / x,x,L(x,z,u)).
a(x \ y,L(x,z,u),y) = a(x \ y,x,L(x,z,u)).
K(x,(y \ K(z,u)) * (w \ K(v5,y))) = K(x,T(y \ K(z,u),v5) / w).
K(x,T(y \ K(z,u),w) / v5) = K(x,T(y,w) \ (K(z,u) / v5)).
K(x,T(y \ K(z,u),w) / v5) = K(x,T(y,w) \ (v5 \ K(z,u))).
K(x,T(y,(z * u) * w)) * ((u * z) * w) = K(u,z) * ((z * u) * (w * K(x,y))).
K(x,T(y,z) \ T(u,w * T(v5 \ 1,v6))) = K(x,T(y \ 1,z) * T(u,w \ v5)).
((x * y) * T(z,y)) \ (x * (z * y)) = (x * y) \ ((x * (y * z)) / z).
R(x \ L(x,y \ 1,L(y,z,u)),x,y \ L(y,z,u)) = a(x,L(y,z,u),y \ 1).
K(((x / y) * z) * (x / (x / y)),u) = K(((y \ x) * z) * y,u).
K(((x / y) * z) * T(y,x),u) = K(((y \ x) * z) * y,u).
K((x / y) * (z * T(y,x)),u) = K(((y \ x) * z) * y,u).
K(x * (y \ (z * T(y,x))),u) = K(((y \ x) * z) * y,u).
K(x * T(y * K(z,x),z),u) = K(((z \ x) * y) * z,u).
R(R(x,y,z),y * z,K(u,w)) = R(x,y,z * K(u,w)).
R(x,y,z * K(u,w)) = R(x,y,z).
R(x,y,z \ (u * w)) = R(x,y,z \ (w * u)).
R(x,y,K(z,u) * w) = R(x,y,w).
R(x,y,T(z,u) \ w) = R(x,y,z \ w).
R(x,y * K(z,u),w) = R(x,y,w).
R(x,T(y,z),u) = R(x,y,u).
R(x,K(y,z) * u,w) = R(x,u,w).
R(x,y,z) * (x \ ((K(x,u) * y) * z)) = x \ ((T(x,u) * y) * z).
T(((x * (T(y,z) \ u)) / u) * K(y,z),y) = R(y \ x,y,y \ u).
R(x,y,(z * u) \ ((w * u) * z)) = R(x,y,L(T(w,u),u,z)).
R(x,y,(z * u) \ ((w * u) * z)) = R(x,y,L(w,u,z)).
R(x,y,(z * u) \ ((w * u) * z)) = R(x,y,R(w,u,z)).
R(x,y,R(z,u,w)) = R(x,y,L(z,u,w)).
R(x,y,z) * (x \ (K(x,u) * (y * z))) = x \ ((T(x,u) * y) * z).
T((x / (T(y,z) * (u \ x))) * K(y,z),y) = R(y \ u,y,y \ x).
R(x,y,z) * (K(x,u) * (x \ (y * z))) = x \ ((T(x,u) * y) * z).
T(x / (y * (z \ x)),y) = R(y \ z,y,y \ x).
T(R(x \ 1,y,z) / ((x \ 1) * (u \ R(x \ 1,y,z))),x \ 1) = R((x \ 1) \ u,x \ 1,x * R(x \ 1,y,z)).
R(L(x,y,z) \ x,L(x,y,z),L(x,y,z) \ (z * y)) = T((z * y) / ((z * (y * x)) / x),L(x,y,z)).
R(T(x,y),z,u) * (x \ (z * u)) = x \ ((T(x,y) * z) * u).
T(x \ ((x * y) * z),x \ (y * z)) = x \ ((T(x,y * z) * y) * z).
T(x \ ((x * y) * z),x \ (y * z)) = ((x * y) * z) / x.
a(R(x,y,z),x \ 1,u) = a(x \ 1,R(x,y,z),u).
a(R(x,y,z),x \ 1,u) = a(x \ 1,L(x,y,z),u).
a(L(x,y,z),x \ 1,u) = a(x \ 1,L(x,y,z),u).
(x \ (y \ x)) * R((x \ (y \ x)) \ 1,z,u) = (y * x) \ (x * R(T(y,x),z,u)).
K(x,T(y,(z * u) * w)) * ((u * z) * w) = (u * z) * (w * K(x,y)).
K(x,T(y,z * (u * w))) * ((z * u) * w) = (z * u) * (w * K(x,y)).
K(x,T(y,z) \ T(u,w * T(v5 \ 1,v6))) = K(x,T(y,z) \ T(u,w \ v5)).
K(x,T(y,z) \ T(u,w / T(v5,v6))) = K(x,T(y,z) \ T(u,w \ v5)).
a(x,L(y,z,u),y \ 1) = a(x,y \ 1,L(y,z,u)).
x \ ((y \ x) * R((y \ x) \ x,z,u)) = (y * x) \ (x * R(T(y,x),z,u)).
(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)).
(L(x,y,z) \ u) * (x \ L(x,y,z)) = (x \ L(x,y,z)) * (L(x,y,z) \ u).
K(R(x,y,z) * u,x * (R(x,y,z) \ w)) = K(w * (x * u),x * (R(x,y,z) \ w)).
T(x,y) / (((x \ z) * (x \ z)) \ ((z \ x) \ T(x,y))) = L(x \ z,x \ z,T(x,y)).
(x * y) * (y * L(y \ 1,y \ 1,z)) = (x * (L(y,y,z \ 1) \ y)) * y.
(x * (L(y,y,z \ 1) \ y)) * y = (x * y) * (y * ((z \ (z / (y \ 1))) \ 1)).
(x * (L(y,y,z \ 1) \ y)) * y = (x * y) * (L(y,y,z \ 1) \ y).
(x * y) * (L(y,y,z \ 1) \ y) = (x * a(z,y,y \ 1)) * y.
(x * a(y,z,z \ 1)) * z = (x * z) * a(y,z,z \ 1).
(x * y) * a(z,y,y \ 1) = (x * a(y,y,z)) * y.
(x * a(y,y,z)) * y = (x * y) * a(y,y,z).
K(x,y \ ((z * u) \ (T(z,u * y) * w))) = K(x,R(z,u,y) \ ((u * y) \ (z * w))).
T(x,y) / (((x \ z) * (x \ z)) \ T(z * K(x,y),x)) = L(x \ z,x \ z,T(x,y)).
K(x,y \ ((z * u) \ (T(z,u * y) * w))) = K(x,(((z * u) * y) / z) \ w).
K(x,y \ (z \ (u \ (T(u,z * y) * w)))) = K(x,(((u * z) * y) / u) \ w).
K(x,(((y * z) * u) / y) \ w) = K(x,u \ (z \ (K(y,z * u) * w))).
K(x,(((y * z) * u) / y) \ w) = K(x,K(y,z * u) * (u \ (z \ w))).
K(x,(((y * z) * u) / y) \ w) = K(x,T(z * u,y) \ w).
T(x,y) / ((((x \ z) * (x \ z)) \ T(z,x)) * K(x,y)) = L(x \ z,x \ z,T(x,y)).
T(x,y) / ((z \ ((z / (x \ z)) * x)) * K(x,y)) = L(x \ z,x \ z,T(x,y)).
L(x \ y,x \ y,T(x,z)) = T(x,z) / ((y \ (x * x)) * K(x,z)).
L(x \ y,x \ y,T(x,z)) = T(x,z) / (y \ (x * T(x,z))).
L(x \ y,x \ y,x) = T(x,z) / (y \ (x * T(x,z))).
L(x \ y,x \ y,x) = x / (y \ (x * x)).
L(x \ y,x \ y,x) = (y \ x) \ 1.
(x * (L(x \ 1,y,z) * u)) \ ((x * L(x \ 1,y,z)) * u) = a(L(x \ 1,y,z),x,u).
T((x * K(y,x \ z)) / K(y,z / x),u) = T(T(x,u),K(y,z / x)).
T((x * K(y,x \ z)) / K(y,z / x),u) = T(T(x,u),K(y,x * z)).
T((x * K(y,x \ z)) / K(y,z / x),u) = T(x,K(y,x * z) * u).
T((x * K(y,x \ z)) * K(z / x,y),u) = T(x,K(y,x * z) * u).
T(x * (K(y,x \ z) * K(z / x,y)),u) = T(x,K(y,x * z) * u).
T(x * K(y,K(x,z)),u) = T(x,K(y,x * z) * u).
T(x,K(y,x * z) * u) = T(T(x,K(y,z)),u).
T(x,K(y,x * z) * u) = T(x,K(y,z) * u).
T(x,K(y,z) * T(u * w,K(y,x * z))) = T(x,u * (w * K(y,x * z))).
T(T(x,K(y,z)),K(u,x * w) * v5) = T(T(x,K(y,z)),K(u,w) * v5).
T(T(x,K(y,z)),K(u,w * K(v5,v6)) * v7) = T(T(x,K(y,z)),v7 * K(u,x * w)).
T(x,y * (z * K(u,x * w))) = T(x,K(u,w) * (y * z)).
T(T(x,K(y,z)),K(u,w * K(v5,v6)) * v7) = T(x,K(y,z) * (v7 * K(u,x * w))).
T(T(x,K(y,z)),K(u,w * K(v5,v6)) * v7) = T(x,K(u,w) * (K(y,z) * v7)).
x * (R(y / (x * y),x * y,z) * (y * z)) = y * (x * L(x \ z,y,x)).
x * (R(x,y,z) \ (y * z)) = y * (x * L(x \ z,y,x)).
a(x,y,z) \ (y * z) = y * (x * L(x \ z,y,x)).
x \ (a(y,a(z,u,w),v5) * (v6 * v7)) = x \ (v6 * (a(y,a(z,u,w),v5) * v7)).
x \ (y * (a(z,a(u,w,v5),v6) * v7)) = a(z,a(u,w,v5),v6) * (x \ (y * v7)).
((x \ y) * L((x \ y) \ z,u,w)) * x = T(y,x) * L(T(y,x) \ (z * x),u,w).
(x / y) * L((x / y) \ z,u,w) = (y \ x) * L((y \ x) \ z,u,w).
T((K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)),v5) = ((K(x,y) * (K(z,u) * T(w,v5))) * K(u,z)) * K(y,x).
T(x * K(y,K(z,u)),K(u,z) * (K(w,v5) * y)) = T(T(y \ x,K(z,u)) * y,K(w,v5)).
(x \ y) * L(T((x \ y) \ 1,z),u,w) = x \ (y * L(T(y \ x,z),u,w)).
a(L(x \ 1,y,z),x,u) = a(x,L(x \ 1,y,z),u).
L(x \ 1,y,z) \ ((x * L(x \ 1,y,z)) * u) = a(x,L(x \ 1,y,z),u) * (x * u).
(T(x,y) * (T(T(y,x),z) * u)) \ ((K(y,z) * (x * y)) * u) = a(T(x,y),T(T(y,x),z),u).
((x * y) * z) \ ((x * y) * R(z,y,T(x,y))) = a(T(z,(x * y) \ 1),y,T(x,y)).
(x * y) \ (((x * y) / z) * R(z,y,T(x,y))) = a(T(z,(x * y) \ 1),y,T(x,y)).
(x * y) \ (((x * y) / z) * R(z,y,x)) = a(T(z,(x * y) \ 1),y,T(x,y)).
(x * y) \ (((x * y) / z) * R(z,y,x)) = a(z,y,T(x,y)).
(x * y) \ (((x * y) / z) * L(z,y,x)) = a(z,y,T(x,y)).
(x * y) \ ((x * (y * z)) / z) = a(z,y,T(x,y)).
K(x,(((y * z) * u) / y) \ ((y \ (z * u)) * w)) = K(x,R(y,z,u) \ w).
K(x,T(y * z,u) \ ((u \ (y * z)) * w)) = K(x,R(u,y,z) \ w).
K(x,(y * z) \ (((y * z) / u) * w)) = K(x,R(u,y,z) \ w).
K(x,((y * z) \ ((y * z) / u)) * w) = K(x,R(u,y,z) \ w).
K(x,R(y,z,u) \ w) = K(x,y \ w).
K(x,R(y,z,u) \ (y * w)) = K(x,w).
K(x,y * (R(y,z,u) \ w)) = K(x,w).
K(x * (y * z),y * (R(y,u,w) \ x)) = K(R(y,u,w) * z,x).
K(R(x,y,z) * u,w) = K(w * (x * u),w).
K(R(x,y,z) * u,w) = K(x * u,w).
(x \ ((x * x) * y)) \ L(x \ ((x * x) * y),x,x) = a(x,x,y) \ 1.
(x \ ((x * x) * y)) \ (x * y) = a(x,x,y) \ 1.
((x * x) * (x \ y)) \ (x * y) = a(x,x,y) \ 1.
a(x \ y,x,x) = a(x,x,y) \ 1.
a(x \ y,x,x) = a(x,x,y \ 1).
a(x,x,(x * y) \ 1) = a(y,x,x).
a(x,x,y \ 1) = a(y,x,x).
a(x,x,y) \ 1 = a(y,x,x).
a(x,x,y \ x) = a(y,x,x).
x * a(x,y,y) = L(x,y,y).
a(x \ 1,y,y) = a(y,y,x).
L(x,x,y) * a(y,x,x) = x.
(x \ (x / y)) \ a(x,y,y) = y.
L(x \ 1,x,y) = x \ a(y,x,x).
a(x,y,y) \ 1 = a(y,y,x).
a(x,y,y) \ y = L(y,y,x).
a(x \ y,y,y) = a(y,y,x).
L((x / y) \ (x * a(x,y,y)),z,u) = L(L(y,z,u),x \ (x / y),x).
(x \ a(y,x,x)) * y = x \ y.
L((x / y) \ (x * a(x,y,y)),z,u) = L(L(y,z,u),x \ (y \ x),x).
L(L(x,y,z),u \ (x \ u),u) = L((u / x) \ L(u,x,x),y,z).
L(L(x,y,z),u \ (x \ u),u) = L(L(x,x,u \ 1),y,z).
L(L(x,x,y \ 1),x,y) = x.
L(x,L(x,x,y),y) = L(x,x,y).
L(L(x,y,z),L(x,x,u),u) = L(L(x,x,u),y,z).
R(x \ 1,y,L(L(x,z,u),y,x \ 1)) = x \ 1.
R(x \ 1,y,L(x,z,u)) = x \ 1.
(T(x,y) * (T(T(y,x),z) * u)) \ (K(y,z) * ((x * y) * u)) = a(T(x,y),T(T(y,x),z),u).
(K(x,y) * (z * (x * u))) \ (K(x,y) * ((z * x) * u)) = a(T(z,x),T(T(x,z),y),u).
L(a(x,y,z),x * (y * z),K(y,u)) = a(T(x,y),T(T(y,x),u),z).
a(T(x,y),T(T(y,x),z),u) = a(x,y,u).
a(T(x,K(y,z)),T(y,z),u) = a(x,y,u).
a(x,T(y,z),u) = a(x,y,u).
a(x,y,T(z,y)) = a(x,y,z).
a(x,y / z,u) = a(x,z \ y,u).
a(x,y * z,u) = a(x,z * y,u).
a(x,y,z) = (z * y) \ ((z * (y * x)) / x).
a(x,y,z) = (z * y) \ (x \ ((x * y) * T(z,y))).
a(x,y,z) = ((z * y) * T(x,y)) \ (z * (x * y)).
(x * y) \ (R(y \ 1,z,u) \ ((y * R(y \ 1,z,u)) * T(x,y))) = a(R(y \ 1,z,u),y,x).
a(x,y,z) = (L(z,y,x) * (x * y)) \ (z * (x * y)).
a(x,y,T(z,x * y)) = a(x,y,z).
a(x,y,y \ (z * (x * y))) = a(x,y,z).
a(x / y,y,y \ (z * x)) = a(x / y,y,z).
a(x \ y,x,x \ (z * y)) = a(y / x,x,z).
a(x \ y,x,x \ (z * y)) = a(x \ y,x,z).
a(L(x \ 1,y,z),x,x \ u) * (R(x \ 1,y,z) * u) = (x * R(x \ 1,y,z)) * (x \ u).
T(x * L(y,z,u),y) \ ((y \ x) * L(y,z,u)) = (x * L(y,z,u)) \ ((x / y) * L(y,z,u)).
(x * L(K(y,x) * (((y * x) / y) \ z),u,w)) * y = (y * x) * L((y * x) \ (z * y),u,w).
K(x,y * (T(z \ K(u,K(w,v5)),v6) * K(v5,K(u,w)))) = K(x,y * T(K(K(u,w),v5) / z,v6)).
K(x,y * T(T(z \ 1,u) * K(w,K(v5,v6)),v7)) = K(x,y / T(T(K(w,K(v5,v6)) * z,u),v7)).
a(x,a(x,y,z),a(x,y,z)) * (x \ 1) = (a(x,y,z) \ 1) * (x \ a(x,y,z)).
x \ a(x,a(x,y,z),a(x,y,z)) = (a(x,y,z) \ 1) * (x \ a(x,y,z)).
x \ a(x,a(x,y,z),a(x,y,z)) = a(x,y,z) * (x \ (a(x,y,z) \ 1)).
(x * y) \ (R(y \ 1,z,u) \ ((y * R(y \ 1,z,u)) * T(x,y))) = a(L(y \ 1,z,u),y,x).
a(x,L(x \ 1,y,z),x \ u) * (R(x \ 1,y,z) * u) = (x * R(x \ 1,y,z)) * (x \ u).
(x * L(y,z,u)) \ ((x / y) * L(y,z,u)) = L(R(y \ 1,x,L(y,z,u)),y,x).
(x * L(y,z,u)) \ ((x / y) * L(y,z,u)) = L(y \ 1,y,x).
L(x,x,y * L(x,z,u)) = L(x \ 1,x,y) \ 1.
L(x,x,y * L(x,z,u)) = L(x,x,y).
L(x,x,L(x,y,z) * u) = L(x,x,u).
a(x,x \ 1,y * L(x,z,u)) = L(x,x,y) \ x.
a(x,x,L(x,y,z) * u) = x \ L(x,x,u).
a(x,x,L(x,y,z) * u) = a(x,x,u).
a(x,x,L(x,y,z) \ u) = a(x,x,u).
a(x,x,L(L(x,y,z) \ u,u,u)) = a(x,x,L(u,u,L(x,y,z))).
a(x,x,(y * L(x,z,u)) \ 1) = L(x,x,y) \ x.
a(x,x,(y * L(x,z,u)) \ 1) = a(x,x,y \ x).
a(x * L(y,z,u),y,y) = a(y,y,x \ y).
a(x * L(y,z,u),y,y) = a(x,y,y).
a(L(x,y,z) * u,x,x) = a(u,x,x).
a(L(x \ 1,x,L(y,z,u)),y,y) = a(x \ L(y,z,u),y,y).
a(L(x,y,z) \ u,x,x) = a(u,x,x).
a(L(x,L(y,z,u) \ x,L(y,z,u)),y,y) = a((x \ L(y,z,u)) \ 1,y,y).
a(L(x,L(y,z,u) \ x,L(y,z,u)),y,y) = a(y,y,x \ L(y,z,u)).
(x * y) * L((x * y) \ (z * x),u,w) = (y * L(y \ z,u,w)) * x.
x * (y * L(y \ (x \ (z * x)),u,w)) = (y * L(y \ z,u,w)) * x.
x * (y * L(y \ T(z,x),u,w)) = (y * L(y \ z,u,w)) * x.
T(x * L(x \ y,z,u),w) = x * L(x \ T(y,w),z,u).
K(x,y * (T(z \ K(u,K(w,v5)),v6) * K(u,K(w,v5)))) = K(x,y * T(K(K(u,w),v5) / z,v6)).
K(x,y * T(T(K(z,K(u,w)) * (v5 \ 1),v6),v7)) = K(x,y / T(T(K(z,K(u,w)) * v5,v6),v7)).
(x * y) \ (R(y \ 1,z,u) \ ((y * R(y \ 1,z,u)) * T(x,y))) = a(y,L(y \ 1,z,u),x).
K(x,y * T(K(z,K(u,w)) * (v5 \ K(z,K(u,w))),v6)) = K(x,y * T(K(K(z,u),w) / v5,v6)).
K(x,y / T(T(K(z,K(u,w)) * v5,v6),v7)) = K(x,y * T(T(v5 \ K(z,K(u,w)),v6),v7)).
K(x,(y / T(T(z,u),w)) * K(v5,K(v6,v7))) = K(x,y * T(T(z \ K(v5,K(v6,v7)),w),u)).
K(x,y * T(T(z \ K(u,K(w,v5)),v6),v7)) = K(x,y / T(T(z,v7),v6)).
K(x,y * T(K(K(z,u),w) / v5,v6)) = K(x,y * T(v5 \ 1,v6)).
K(x,y * T(K(z,K(u,w)) / v5,v6)) = K(x,y * T(v5 \ 1,v6)).
K(x,y * T(z \ K(u,K(w,v5)),v6)) = K(x,y * T(z \ 1,v6)).
K(x,y * T(z \ K(u,K(w,v5)),v6)) = K(x,y / T(z,v6)).
(K(x,y) * (T(z,x) * (u * w))) \ ((K(x,y) * (T(z,x) * u)) * w) = a(T(K(x,y) * z,x),u,w).
((K(x,K(y,z)) * (u * (w * v5))) \ ((u * w) * v5)) * K(x,K(y,z)) = a(u,w,K(x,K(y,z)) * v5).
(K(x,y) * (T(z,x) * (u * w))) \ (K(x,y) * ((T(z,x) * u) * w)) = a(T(K(x,y) * z,x),u,w).
((x * (y * z)) \ (K(K(u,w),v5) * ((x * y) * z))) * K(v5,K(u,w)) = a(x,y,K(v5,K(u,w)) * z).
L(a(T(x,y),z,u),T(x,y) * (z * u),K(y,w)) = a(T(K(y,w) * x,y),z,u).
L(a(x,y,z),T(x,u) * (y * z),K(u,w)) = a(T(K(u,w) * x,u),y,z).
a(T(K(x,y) * z,x),u,w) = a(z,u,w).
a(K(x,y) * z,u,w) = a(z,u,w).
a(x * K(y,z),u,w) = a(x,u,w).
a(x \ (y * (z * (u / z))),w,v5) = a(x \ (y * u),w,v5).
a(x / T(y,z),u,w) = a(x / y,u,w).
a((x * y) \ z,u,w) = a((y * x) \ z,u,w).
a(x \ (y / z),u,w) = a(x \ (z \ y),u,w).
a(x / T(y,z),u,w) = a(y \ x,u,w).
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 * y) * x),u,w) = a(L(z,y,x),u,w).
a(R(x,y,z),u,w) = a(L(x,y,z),u,w).
((x * (y * z)) \ (K(u,K(w,v5)) * ((x * y) * z))) * K(u,K(w,v5)) = a(x,y,K(u,K(w,v5)) * z).
(((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,K(u,K(w,v5)) * z).
(a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,K(u,K(w,v5)) * z).
a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,K(u,K(w,v5)) * z).
a(x,y,z) * K(u,K(w,v5) * K(w,v5)) = a(x,y,K(u,K(w,v5)) * z).
a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5) * 1.
a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5).
a(x,y,z * K(u,T(w,v5))) = a(x,y,z * K(u,w)).
a(x,y,z * K(u,T(w,v5))) = (x * (y * (z * K(u,w)))) \ ((x * y) * (z * K(u,w))).
a(x,y,z * K(u,T(w,v5))) = ((x * (y * (z * K(u,w)))) \ ((x * y) * z)) * K(u,w).
T((K(x,y) * z) \ u,K(w,v5)) * (K(x,y) * z) = T(T(z \ u,K(w,v5)) * z,K(x,y)).
T(x,K(y,z) * (u * T(T(w \ v5,K(v6,v7)) * w,K(y,z)))) = T(x,u * (T((K(y,z) * w) \ v5,K(v6,v7)) * w)).
R(T(T(x,y) * z,K(y,x) * (T(x,y) * z)),K(x,y),u) = ((T(T(x,y),y) * z) * u) / (K(x,y) * u).
R(L(x,y,z),z * y,T(x,z * y)) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)).
L(R(x,y * z,T(x,y * z)),z,y) \ (x * (y * z)) = (y * z) * a(y,z,T(x,y * z)).
L(x,y,z) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)).
L(x,y,z) \ (x * (z * y)) = (z * y) * a(z,y,x).
x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x).
a(x,y,z) = ((x * (y * z)) / z) \ (x * y).
a(x,y,z) \ (x * y) = (x * (y * z)) / z.
(((x / y) * (z * u)) / u) \ ((x / y) * z) = a(y \ x,z,u).
(x * (y * z)) / z = (x * y) / a(x,y,z).
((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y).
(((x / y) * (y * z)) / z) \ x = a(x / y,y,z).
(((x * y) * z) / z) \ (R(x,y,z) * y) = a(R(x,y,z),y,z).
a(x,y,T(z,u)) = ((x * (y * z)) / z) \ (x * y).
a(x,y,z) = (x * y) / ((x * (y * z)) / z).
(a(x,y,z) \ (x * y)) * z = x * (y * z).
L(a(x,y,z),a(x,y,z),(x * (y * z)) / z) = L(a(x,y,z),a(x,y,z),x * y).
L(a(x,y,z) \ 1,a(x,y,z),x * y) = (x * y) \ ((x * (y * z)) / z).
L(a(x,y,z),a(x,y,z),x * y) = ((x * y) \ ((x * (y * z)) / z)) \ 1.
T(a(x,y,R(y \ 1,z,u)) \ (x * y),R(y \ 1,z,u)) = R(y \ 1,z,u) \ ((x * y) * R(x \ (x / y),z,u)).
(((x / y) * z) / (u \ z)) \ ((x / y) * u) = a(y \ x,u,u \ z).
a(x \ (y * z),z,z \ x) = a(y,z,z \ x).
(x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ x).
a((x * y) \ z,x,y) = a(z / x,x,y).
a((x * y) \ z,x,y) = a(x \ z,x,y).
a(L(x \ 1,x,y * z),y,z) = a(y \ (x \ (y * z)),y,z).
a((x * y) \ z,y,x) = a(y \ z,y,x).
(((x / (y * z)) * y) * z) / x = a(y \ x,y,z).
a(x \ (y \ (z * x)),x,z) = y * L(y \ 1,x,z).
a((x \ L(x,y,z)) \ u,L(x,y,z),x \ 1) = a(L(x,y,z) \ u,L(x,y,z),x \ 1).
a((K(x,y) * (z \ L(z,u,w))) \ v5,K(x,y) / z,L(z,u,w)) = a((K(x,y) / z) \ v5,K(x,y) / z,L(z,u,w)).
a(x \ (y * (z * x)),x,y) = a(L(T(z,x),x,y),x,y).
a(L(x \ 1,x,y * z),y,z) = a(y \ ((z * y) / x),y,z).
a(x,y,T(z,u)) = a(x,y,z).
a(x,y,T(y \ (x \ z),u)) = (z / (y \ (x \ z))) \ (x * y).
a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)).
a(x,y,z * (u / z)) = a(x,y,u).
(x * (y * ((x * y) \ z))) / z = a(y \ z,y,x).
a(x \ (y * (z * x)),x,y) = a(L(z,x,y),x,y).
((x * y) / (y \ z)) \ (((x * y) / z) * y) = a(z \ (x * y),y,x).
a(R(x,y,z),y,z) = (x * y) \ (R(x,y,z) * y).
a(R(x,y,z),y,z) = y \ (R(x,y,z) * (x \ y)).
a(L(x,y,z),y,z) = y \ (R(x,y,z) * (x \ y)).
a(L(x \ 1,x,y * z),y,z) = a(y \ (x \ (z * y)),y,z).
a(x,y,T(y \ (x \ z),u)) = a(x,y,y \ z).
a(x,y,y \ (x \ z)) = a(x,y,y \ z).
a(x,y,y \ (x * z)) = a(x,y,y \ z).
(x * L(x \ y,x,z)) \ y = a(z,x,x \ y).
((x \ L(x,y,z)) * (x * (L(x,y,z) \ ((x \ L(x,y,z)) * ((x \ L(x,y,z)) \ u))))) \ u = a(x,x \ L(x,y,z),(x \ L(x,y,z)) \ u).
(x / (y \ z)) \ ((x / z) * y) = a(z \ x,y,y \ z).
a(x \ (y * z),z,z \ x) = a(x \ (y * z),z,y).
a(x \ (y * z),z,y) = a(y,z,z \ x).
a(x,x \ y,(x \ y) \ z) = a(z \ y,x \ y,x).
a((x * y) \ (z \ (x * y)),y,x) = a(x,y,y \ (z * (x * y))).
a(x \ (y \ (z * x)),x,z) = a(z,x,x \ (y * (z * x))).
a(x \ (y \ (z * x)),x,z) = a(z,x,y).
a(L(x \ 1,x,y * z),y,z) = a(z,y,x).
a(x,y,z) = z * L(z \ 1,y,x).
a(L(x,y,z) \ (u \ (x \ L(x,y,z))),L(x,y,z),x \ 1) = a(x \ 1,L(x,y,z),u).
a(x,y,z \ 1) = z \ L(z,y,x).
(x * (y * ((x * y) \ z))) / z = x * L(x \ 1,y,y \ z).
x * R(x \ K(y,z),u,w) = K(y,z) * a(w,u,x).
x \ R(x,y \ 1,z \ 1) = a(z,y,x) \ 1.
a(x,a(y,z,u),w \ 1) = a(w,a(y,z,u),x).
L(x,y,z) \ x = a(z,y,x \ 1) \ 1.
a(x,y,z \ 1) = z \ R(z,y,x).
(L(x,y,z) / (x \ (u \ L(x,y,z)))) \ (u * x) = a(u,x,a(z,y,x \ 1)).
a(x \ (y \ (x * z)),x,z) = a(z,x,y).
a(L(x,y,z) \ (x \ (L(x,y,z) * u)),L(x,y,z),u) = a(u,x,L(x,y,z)).
a(x \ ((y \ x) * (z * (((y \ x) \ u) / z))),x,z * ((x \ (y * u)) / z)) = a(z * ((x \ (y * u)) / z),x,y).
x \ L(x,y \ 1,z \ 1) = a(z,y,x) \ 1.
x \ (y * (z * ((y * z) \ x))) = y * L(y \ 1,z,z \ x).
a(x,y,a(z,u,y \ 1)) = a(x,y,y \ L(y,u,z)).
a(x,y,y \ R(y,z,u)) = a(x,y,y \ L(y,z,u)).
a(L(x,y,z) \ (L(x,y,z) * (x \ u)),L(x,y,z),u) = a(u,x,L(x,y,z)).
a(x \ y,L(x,z,u),y) = a(y,x,L(x,z,u)).
a(x \ y,x,L(x,z,u)) = a(y,x,L(x,z,u)).
L(a(x,y,z),a(x,y,z),z \ (x * (y * z))) = L(a(x,y,z),a(x,y,z),x * y).
L(a(x,y,z),a(x,y,z),z \ (x * (y * z))) = ((x * y) \ ((x * (y * z)) / z)) \ 1.
a((x \ L(x,y,z)) \ u,x \ 1,L(x,y,z)) = a(L(x,y,z) \ u,L(x,y,z),x \ 1).
a(L(x,y,z) \ (u \ (x \ L(x,y,z))),x \ 1,L(x,y,z)) = a(x \ 1,L(x,y,z),u).
a((x \ L(x,y,z)) \ u,x \ 1,L(x,y,z)) = a(L(x,y,z) \ u,x \ 1,L(x,y,z)).
R(L(x,y,z) \ x,L(x,y,z),L(x,y,z) \ (z * y)) = T((z * y) / ((z * (y * x)) / x),x).
R(L(x,y,z) \ x,L(x,y,z),L(x,y,z) \ (z * y)) = T(a(z,y,x),x).
a(x,y,z) = R(L(z,y,x) \ z,L(z,y,x),L(z,y,x) \ (x * y)).
L(x,a(y,z,u),w) \ x = a(w,a(y,z,u),x).
a(x,a(y,z,u),w) \ 1 = a(w,a(y,z,u),x).
R(x,a(y,z,u) \ 1,w \ 1) = x * a(x,a(y,z,u),w).
a(x,a(y,z,u),w) \ v5 = v5 * a(w,a(y,z,u),x).
(x * (y * a(z,a(u,w,v5),v6))) \ v7 = ((x * y) \ v7) * a(v6,a(u,w,v5),z).
R(x,a(y,z,u) \ 1,w \ 1) = L(x,a(y,z,u),w).
L(x,a(y,z,u) \ 1,w \ 1) = L(x,a(y,z,u),w).
R(T(T(x,y) * z,x * z),K(x,y),u) = ((T(T(x,y),y) * z) * u) / (K(x,y) * u).
R(x * (y * K(x,z)),K(x,z),u) = ((T(T(x,z),z) * y) * u) / (K(x,z) * u).
((T(T(x,y),y) * z) * u) / (K(x,y) * u) = x * (z * K(x,y)).
(T(T(x,y),y) * z) * K(y,x) = x * (z * K(x,y)).
T(T(x,y),y) * (z * K(y,x)) = x * (z * K(x,y)).
K(T(T(x,y),y) * T(z * K(y,x),u),w) = K(K(u,z * K(y,x)) * (x * (z * K(x,y))),w).
K(T(T(x,y),y) * T(z * K(y,x),u),w) = K(K(u,z * K(y,x)) * (T(x,y) * z),w).
K(T(T(x,y),y) * T(z * K(y,x),u),w) = K((T(x,y) * z) * K(u,z),w).
K(T(T(x,y),y) * T(z * K(y,x),u),w) = K(T(x,y) * T(z,u),w).
K(x * T(y * K(z,x),u),w) = K(T(x,z) * T(y,u),w).
K(((x \ y) * z) * x,u) = K(T(y,x) * T(z,x),u).
(x * (y * K(z,u))) \ (K(z,T(u,x * y)) * (x * (y * w))) = L(L(w,y,x),x * y,K(z,T(u,x * y))).
(x \ 1) * (L(x \ 1,y,z) \ ((x * L(x \ 1,y,z)) * u)) = L(u,x * L(x \ 1,y,z),x \ 1).
(x * (y * K(z,u))) \ (K(z,T(u,x * y)) * (x * (y * w))) = L(w,y,x).
(x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(w,y,x).
(x * (y * K(z,u))) \ (x * (y * (K(z,u) * w))) = L(w,y,x).
L(L(x,K(y,z),u),u * K(y,z),w) = L(x,u,w).
L(x,y * K(z,u),w) = L(x,y,w).
L(x,K(y,z) * u,w) = L(x,u,w).
L(x,y,K(z,u) * w) = L(x,y,w).
L(x,y,K(z,u) * (K(w,v5) * v6)) = L(x,y,v6).
L(x,y,z * (K(u,T(w,v5)) * v6)) = L(x,y,z * (K(u,w) * v6)).
L(x,y,T(T(z,u) * (K(w,v5) * v6),z)) = L(x,y,v6 * z).
L(x,y,T(z,u) * (K(w,v5) * v6)) = L(x,y,v6 * z).
L(x,y,z * (K(u,w) * v5)) = L(x,y,v5 * z).
L(L(x,K(y,z) * u,w) \ v5,L(x,K(y,z) * u,w),w * (K(y,T(z,v6)) * u)) = (w * ((K(y,z) * u) * x)) \ ((w * (K(y,z) * u)) * v5).
((x \ L(x,y,z)) \ K(a(z,y,x) * K(u,w),v5)) \ K(w,u) = T(((x \ L(x,y,z)) \ 1) \ K(w,u),v5).
K(x,a(y,z,u) * K(w,v5)) * ((u \ L(u,z,y)) * K(v5,w)) = T(((u \ L(u,z,y)) \ 1) \ K(v5,w),x).
K(x,K(y,z)) * ((u \ L(u,w,v5)) * K(y,z)) = T(((u \ L(u,w,v5)) \ 1) \ K(y,z),x).
K(x,K(y,z)) * (L(u,w,v5) * (u \ K(y,z))) = T(((u \ L(u,w,v5)) \ 1) \ K(y,z),x).
T(((x \ L(x,y,z)) \ 1) \ K(u,w),v5) = L(x,y,z) * (x \ K(u,T(w,v5))).
T((x \ L(x,y,z)) * K(u,w),v5) = L(x,y,z) * (x \ K(u,T(w,v5))).
T(L(x,y,z) * (x \ K(u,w)),v5) = L(x,y,z) * (x \ K(u,T(w,v5))).
T(L(x,y,z) * (x \ K(x,u)),w) = x \ L(T(x,T(u,w)),y,z).
T(x \ L(T(x,y),z,u),w) = x \ L(T(x,T(y,w)),z,u).
T((x \ 1) \ L(T(x \ 1,y),z,u),w) = x * L(T(x \ 1,T(y,w)),z,u).
T(x * L(T(x \ 1,y),z,u),w) = x * L(T(x \ 1,T(y,w)),z,u).
T((x \ y) * L(T((x \ y) \ 1,x),z,u),w) = x \ (y * L(y \ T(x,T(x \ y,w)),z,u)).
x \ (y * L(y \ T(x,T(x \ y,z)),u,w)) = T(x \ (y * L(T(y \ x,x),u,w)),z).
x \ (y * L(y \ T(x,T(x \ y,z)),u,w)) = T(x \ (L(y \ x,u,w) * y),z).
x \ (y * L(y \ T(x,T(y,z)),u,w)) = T(x \ (L(y \ x,u,w) * y),z).
x \ T(y * L(y \ x,z,u),T(y,w)) = T(x \ (L(y \ x,z,u) * y),w).
(x \ K(y,z)) \ (K(y,z) / (L(K(y,z) \ (x \ K(y,z)),u,w) \ 1)) = x * L(x \ 1,u,w).
(x \ K(y,z)) \ (K(y,z) / (L(T(x \ 1,K(y,z)),u,w) \ 1)) = x * L(x \ 1,u,w).
(x \ K(y,z)) \ (K(y,z) / T(L(x \ 1,u,w) \ 1,K(y,z))) = x * L(x \ 1,u,w).
(x \ K(y,z)) \ ((L(x \ 1,u,w) \ 1) \ K(y,z)) = x * L(x \ 1,u,w).
(x \ K(y,z)) \ (L(x \ 1,u,w) * K(y,z)) = x * L(x \ 1,u,w).
(x \ K(y,z)) \ L((x \ 1) * K(y,z),u,w) = x * L(x \ 1,u,w).
(x \ K(y,z)) \ L(x \ K(y,z),u,w) = x * L(x \ 1,u,w).
(x * (y * (x \ 1))) * R(L(x,x \ 1,x * y),z,u) = (x * y) * ((x \ 1) * R((x \ 1) \ 1,z,u)).
(x * (y * (x \ 1))) * R(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * R((x \ 1) \ 1,z,u)).
(x * (y * (x \ 1))) * L(R(x,z,u),x \ 1,y) = (x * y) * ((x \ 1) * R((x \ 1) \ 1,z,u)).
x * ((y * (x \ 1)) * L(R(x,z,u),x \ 1,y)) = (x * y) * ((x \ 1) * R((x \ 1) \ 1,z,u)).
(x * y) * ((x \ 1) * R((x \ 1) \ 1,z,u)) = x * (y * ((x \ 1) * R(x,z,u))).
(x * y) * ((x \ 1) * R((x \ 1) \ 1,z,u)) = x * (y * (x \ R(x,z,u))).
(x * y) * ((x \ 1) * R(x,z,u)) = x * (y * (x \ R(x,z,u))).
(x * y) * (x \ R(x,z,u)) = x * (y * (x \ R(x,z,u))).
R(x,y,z) \ (x * (u * (x \ R(x,y,z)))) = R(u,x,x \ R(x,y,z)).
R(x,y,y \ R(y,z,u)) = L(x,y \ R(y,z,u),y).
R(x \ L(x,y \ R(y,z,u),y),x,R(y,z,u)) = a(x,y,y \ R(y,z,u)).
R(x,y,y \ R(y,z,u)) = L(x,y \ L(y,z,u),y).
L(x,y \ L(y,z,u),y) = L(x,y,y \ R(y,z,u)).
L(x,y \ R(y,z,u),y) = L(x,y \ L(y,z,u),y).
R(x \ L(x,y \ L(y,z,u),y),x,R(y,z,u)) = a(x,y \ R(y,z,u),y).
R(x \ L(x,y \ R(y,z,u),y),x,L(y,z,u)) = a(x,y,y \ R(y,z,u)).
R(x \ L(x,y \ L(y,z,u),y),x,L(y,z,u)) = a(x,y \ R(y,z,u),y).
R(x \ L(x,y \ L(y,z,u),y),x,L(y,z,u)) = a(x,y,y \ R(y,z,u)).
R(x \ L(x,y \ L(y,z,u),y),x,L(y,z,u)) = a(x,y,y \ L(y,z,u)).
a(x,y \ R(y,z,u),y) = a(x,y,y \ L(y,z,u)).
a(x,y \ L(y,z,u),y) = a(x,y,y \ L(y,z,u)).
x * L(x \ 1,x \ R(x,y,z),u) = a(u,x,x \ L(x,y,z)).
a(x,y,y \ L(y,z \ 1,u \ 1)) = y * L(y \ 1,a(u,z,y) \ 1,x).
T((K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)),v5) = (K(x,y) * ((K(z,u) * T(w,v5)) * K(u,z))) * K(y,x).
T(x,T(y * (K(z,u) * (T(w \ v5,K(v6,v7)) * w)),K(z,u))) = T(x,y * (T((K(z,u) * w) \ v5,K(v6,v7)) * w)).
a(x \ ((y \ x) * (z * (((y \ x) \ u) / z))),x,x \ (y * u)) = a(z * ((x \ (y * u)) / z),x,y).
a(x \ ((y \ x) * ((y \ x) \ z)),x,x \ (y * z)) = a(u * ((x \ (y * z)) / u),x,y).
a(x \ y,x,x \ (z * y)) = a(u * ((x \ (z * y)) / u),x,z).
a(x * ((y \ (z * u)) / x),y,z) = a(y \ u,y,z).
a(x \ (y * z),x,y) = a(x \ z,x,y).
a(L(x,y,z),y,z) = a(y \ (x * y),y,z).
a(L(x,y,z),y,z) = a(T(x,y),y,z).
a(L(x,y,z),y,z) = a(x,y,z).
a(x,y,z) = y \ (R(x,y,z) * (x \ y)).
R(x,y,z) * (x \ y) = y * a(x,y,z).
(x * y) * a(x,y,z) = R(x,y,z) * y.
a(x,y,z) = y \ ((y / x) * R(x,y,z)).
x \ (R(L(T(y \ 1,z),y,x),x,u) * (T(y,z) * x)) = a(L(T(y \ 1,z),y,x),x,u).
x * (y * a(x,y,z)) = R(x,y,z) * y.
a(x,y,z) = (x * y) \ (L(x,y,z) * y).
L(a(x,y,z) \ u,a(x,y,z),x * y) = (R(x,y,z) * y) \ ((x * y) * u).
a(x,y,z) = (y * x) \ (y * R(x,y,z)).
(x * y) * a(y,x,z) = x * R(y,x,z).
(R(x,T(y,x),z) * T(y,x)) \ (y * x) = (x * (y * a(x,T(y,x),z))) \ (x * y).
a(x,y,z) = L(x \ R(x,y,z),x,y).
a(x,y,z) * (y * x) = y * R(x,y,z).
(R(x,y,z) * y) \ ((x * y) * 1) = (x * y) \ ((x * (y * z)) / z).
(R(x,y,z) * y) \ (x * y) = (x * y) \ ((x * (y * z)) / z).
(x * (y * a(x,T(y,x),z))) \ (x * y) = (R(x,y,z) * T(y,x)) \ (y * x).
(x * (y * a(x,T(y,x),z))) \ (x * y) = (y * R(x,y,z)) \ (y * x).
(x * (y * a(x,y,z))) \ (x * y) = (y * R(x,y,z)) \ (y * x).
(R(x,y,z) * y) \ (x * y) = (y * R(x,y,z)) \ (y * x).
(x * R(y,x,z)) \ (x * y) = (y * x) \ ((y * (x * z)) / z).
(x * L(y,x,z)) \ (x * y) = (y * x) \ ((y * (x * z)) / z).
a(x,y,z) = (y * L(z,y,x)) \ (y * z).
a(x,y,z) \ (y * z) = y * L(z,y,x).
a(x,y,L(z,y,x)) = a(x,y,z).
((x * y) / L(y,x,z)) * (x \ (x * y)) = (x * y) * a(z,x,y).
L(x,y,z) = (a(z,y,x) * y) \ (y * x).
x * (L(x,y,z) \ y) = a(z,y,x) * y.
T(x * a(y,x,z),z) = (L(z,x,y) \ x) * z.
a(x,L(y,y,x),L(L(y,y,x),z,u)) = a(x,L(y,y,x),L(y,z,u)).
x \ (a(y,x,x \ z) \ (x * (x \ z))) = T(L(z / x,x,y),x).
x * (y * L(y \ z,x,y)) = x * L(z,x,y).
L(x,y,z) * (L(L(x,x,u),y,z) \ L(x,x,u)) = a(u,L(x,x,u),L(x,y,z)) * L(x,x,u).
R(L(x \ y,x,z),L(x \ y,x,z) \ x,x \ y) \ y = T(x * a(z,x,x \ y),x \ y).
x * L(x \ y,x,z) = z * (x * ((z * x) \ y)).
(x / y) \ (z * (x * ((z * x) \ (x / y)))) = y * L(y \ 1,x,z).
x * (y * ((x * y) \ L(y,z,u))) = y * L(a(u,z,y \ 1),y,x).
x * (y * ((x * y) \ R(y,x,z))) = y * a(y,x,z).
x * (y * ((x * y) \ L(y,x,z))) = y * a(y,x,z).
(x * (L(x,y,z) \ y)) * (y \ (y * x)) = (y * x) * a(z,y,x).
x \ (a(y,x,x \ z) \ (x * (x \ z))) = L(T(z / x,x),x,y).
(a(x,y,z) * y) * (y \ (y * z)) = (y * z) * a(x,y,z).
(a(x,y,z) * y) * z = (y * z) * a(x,y,z).
(x \ ((x * y) * z)) / z = a(x,y,z) * y.
a(x,y,z) = y \ ((x \ ((x * y) * z)) / z).
x \ (a(y,x,x \ z) \ (x * (x \ z))) = L(x \ z,x,y).
x \ (a(y,x,x \ z) \ z) = L(x \ z,x,y).
(x \ ((x * y) * (y \ z))) / (y \ z) = z / L(y \ z,y,x).
(x \ ((x * y) * (y \ z))) / (y \ z) = L(z / y,y,x) \ z.
x \ (L(y / x,x,z) \ y) = a(z,x,x \ y).
x \ (L(L(x,y,z) / x,x,u) \ L(x,y,z)) = a(u,x,a(z,y,x \ 1)).
x * L(x \ 1,y,y \ (y / z)) = z * L(z \ 1,y,x).
x * L(x \ 1,y,y \ (z \ y)) = z * L(z \ 1,y,x).
a(x \ (y \ x),x,z) = y * L(y \ 1,x,z).
a(x \ (y \ x),x,z) = a(z,x,y).
x \ (L(x \ L(x,y,z),x,u) \ L(x,y,z)) = a(u,x,a(z,y,x \ 1)).
x \ (L(R(T(y \ 1,z),x,u),y,x) * (T(y,z) * x)) = a(L(T(y \ 1,z),y,x),x,u).
L(R(x \ y,L(x \ y,x,z) \ x,x \ y),x,z) \ y = T(x * a(z,x,x \ y),x \ y).
T(x * a(y,x,x \ z),x \ z) = L(x \ z,x,y) \ z.
T(a(x,y,y \ z) * y,z) = L(y \ z,y,x) \ z.
T((K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)),v5) = (K(x,y) * T(T(w,v5),K(u,z))) * K(y,x).
T((K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)),v5) = T(K(x,y) * T(w,v5),K(u,z)) * K(y,x).
T((K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)),v5) = T((K(x,y) * T(w,v5)) * K(y,x),K(u,z)).
T((K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)),v5) = T(T(w,K(x,y) * v5),K(u,z)).
T((K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)),v5) = T(w,K(u,z) * (K(x,y) * v5)).
T((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x)),w) = T(u,x * (T(T(x,y),z) \ w)).
T(((K(x,y) * (K(z,x) * u)) / K(z,x)) * K(y,x),w) = T(u,x * (T(T(x,y),z) \ w)).
T(((K(x,y) * (K(z,x) * u)) * K(x,z)) * K(y,x),w) = T(u,x * (T(T(x,y),z) \ w)).
T((K(x,y) * ((K(z,x) * u) * K(x,z))) * K(y,x),w) = T(u,x * (T(T(x,y),z) \ w)).
T((K(x,y) * T(z,K(x,u))) * K(y,x),w) = T(z,x * (T(T(x,y),u) \ w)).
T(T(K(x,y) * z,K(x,u)) * K(y,x),w) = T(z,x * (T(T(x,y),u) \ w)).
T(T((K(x,y) * z) * K(y,x),K(x,u)),w) = T(z,x * (T(T(x,y),u) \ w)).
T(T(K(x,y) * (z * K(y,x)),K(x,u)),w) = T(z,x * (T(T(x,y),u) \ w)).
T(T(T(x,K(y,z)),K(y,u)),w) = T(x,y * (T(T(y,z),u) \ w)).
T(x,y * (T(T(y,z),u) \ w)) = T(T(x,K(y,u * z)),w).
T(x,y * (T(T(y,z),u) \ w)) = T(x,K(y,u * z) * w).
T(x,K(y,z) * (K(z,u) * w)) = T(x,K(z,u * y) * w).
T(T(x,K(y,z)),K(u,y * K(w,v5)) * v6) = T(x,K(y,z * u) * v6).
T(T(x,K(y,z)),u * K(w,y)) = T(x,K(y,z * w) * u).
T(x,K(y,z) * (u * K(w,y))) = T(x,K(y,z * w) * u).
T(x,y \ T(T(z,u \ T(z,w)),v5)) = T(x,K(z,v5 * u) * (y \ z)).
T(x,y \ T(T(z,u \ T(z,w)),v5)) = T(x,T(T(z,v5 * u) / y,z)).
T(x,y \ T(T(z,u \ T(z,w)),v5)) = T(x,y \ T(z,v5 * u)).
T(x,y \ T(T(z,u \ z),w)) = T(x,y \ T(z,w * u)).
T(x,y \ T(T(z,u),w)) = T(x,y \ T(z,u * w)).
T(x,(y \ T(z,u)) * K(w,z)) = T(x,y \ T(z,u * w)).
T(x,(y \ 1) \ T(z,u * w)) = T(x,y * (K(w,z) * T(z,u))).
T(x,y * (K(z,u) * T(u,w))) = T(x,y * T(u,w * z)).
T(x,y * (T((K(z,u) * w) \ v5,K(v6,v7)) * w)) = T(x,y * (K(z,u) * (T(w \ v5,K(v6,v7)) * w))).
T(x,y * (T((K(z,u) * w) \ v5,K(v6,v7)) * w)) = T(x,y * (K(z,u) * ((w \ v5) * w))).
T(x,y * (T((K(z,u) * w) \ v5,K(v6,v7)) * w)) = T(x,y * (K(z,u) * T(v5,w))).
T(x,y * (T(z \ (K(u,w) * v5),K(v6,v7)) * z)) = T(x,y * (K(w,u) * T(v5,z))).
T(x,y * ((z \ (K(u,w) * v5)) * z)) = T(x,y * (K(w,u) * T(v5,z))).
T(x,y * T(K(z,u) * w,v5)) = T(x,y * (K(u,z) * T(w,v5))).
T(x,y * T(K(z,u) * z,w)) = T(x,y * T(z,w * u)).
T(x,y * T(T(z,u),w)) = T(x,y * T(z,w * u)).
(T(x,y * T(z,u * w)) / v5) / (x / v5) = K(x,y * T(T(z,w),u)).
K(x,y * T(T(z,u),w)) = K(x,y * T(z,w * u)).
K(x,y * T(z \ K(u,K(w,v5)),v6 * v7)) = K(x,y / T(T(z,v6),v7)).
K(x,(y / z) * T(z,u * w)) = K(x,z * (T(T(z,w),u) \ y)).
K(x,y * (T(T(y,z),u) \ w)) = K(x,w * K(y,u * z)).
K(x,(y \ z) * K(z,u * w)) = K(x,y \ T(T(z,u),w)).
K(x,y \ T(T(z,u),w)) = K(x,y \ T(z,u * w)).
K(x,y \ T(z * (u / z),w)) = K(x,y \ T(u,w * z)).
K(x,y \ T(z,(u \ 1) * w)) = K(x,y \ T(T(z,w),u)).
K(x,y \ T(z,u * (y \ 1))) = K(x,T(z,u) / y).
K(x,y \ T(z,u / y)) = K(x,T(z,u) / y).
K(x,T(y,z) \ T(u,w \ y)) = K(x,T(u,w) / T(y,z)).
K(x,y \ T(z,u * y)) = K(x,T(z,u) / y).
K(x,y \ T(T(z,u),w)) = K(x,y \ T(z,w \ u)).
K(x,y \ T(z,u \ w)) = K(x,y \ T(z,w * u)).
K(x,T(y,z) \ T(u,y * w)) = K(x,T(u,w) / T(y,z)).
K(x,T(y,z) / T(u,z)) = K(x,T(y / u,z)).
K(x,(y \ K(y,z)) / T(u,z \ y)) = K(x,T((y \ 1) / u,z \ y)).
K(x,y / T(T(z,u),w)) = K(x,y / T(z,u * w)).
K(x,y / T(z,(u \ 1) * w)) = K(x,y / T(T(z,w),u)).
K(x,y / T(T(z,u),w)) = K(x,y / T(z,w \ u)).
K(x,y / T(z,u \ w)) = K(x,y / T(z,w * u)).
K(x,(y \ K(y,z)) / T(u,y * z)) = K(x,T((y \ 1) / u,z \ y)).
K(x,y \ (K(y,z) / T(u,y * z))) = K(x,T((y \ 1) / u,z \ y)).
K(x,y \ T(z \ K(y,u),u * y)) = K(x,T((y \ 1) / z,u \ y)).
K(x,T((y \ 1) / z,u \ y)) = K(x,T(z \ K(y,u),u) / y).
K(x,T((y \ 1) / z,u \ y)) = K(x,T(z,u) \ (y \ K(y,u))).
K(T(x,y) * T(z,y),u) = K(u,T((x \ 1) / z,y \ x)).
K(T(x,y) * T(z,y),u) = K(u,T((x \ 1) / z,y * x)).
K(T(x,y) * T(z,y),u) = K(u,T(x \ (1 / z),y * x)).
K(T(x,y) * T(z,y),u) = K(u,T(x \ (z \ 1),y * x)).
K(T(x,y) * T(z,y),u) = K(u,T((z \ 1) / x,y)).
K(T(x,y) * T(z,y),u) = K(u,T(z \ (1 / x),y)).
K(T(x,y) * T(z,y),u) = K(u,T(z \ (x \ 1),y)).
K(T(x,y) * T(z,y),u) = K(x * z,T(u,y)).
K(((x \ y) * z) * x,u) = K(y * z,T(u,x)).
(x / L(T(y \ 1,z),y,x)) * R(L(T(y \ 1,z),y,x),u,w) = L(R(T(y \ 1,z),u,w),y,x) * (T(y,z) * x).
T(a(x,y,L(y \ 1,z,u)) \ (x * y),R(y \ 1,z,u)) = R(y \ 1,z,u) \ ((x * y) * R(x \ (x / y),z,u)).
a(K(x,y) * ((z \ L(z,u,w)) \ v5),K(y,x) / z,L(z,u,w)) = a((K(y,x) / z) \ v5,K(y,x) / z,L(z,u,w)).
L(R(T(x \ 1,y),z,u),x,w) * (T(x,y) * w) = (w * T(x,y)) * R(L(T(x \ 1,y),x,w),z,u).
L(R(T(x \ 1,y),z,u),x,w) * (T(x,y) * w) = (w * T(x,y)) * L(R(T(x \ 1,y),z,u),x,w).
L(R(T(x \ 1,y),z,u),x,w) * (T(x,y) * w) = w * (T(x,y) * R(T(x \ 1,y),z,u)).
L(R(T(x \ 1,y),z,u),x,w) * (T(x,y) * w) = w * (x * R(x \ 1,z,u)).
a(L(T(x \ 1,y),x,z),z,u) = z \ (z * (x * R(x \ 1,z,u))).
a(L(T(x \ 1,y),x,z),z,u) = x * R(x \ 1,z,u).
a(L(x \ 1,x,y),y,z) = x * R(x \ 1,y,z).
a(x,R(x \ 1,y,z),u) * (R(x \ 1,y,z) * u) = x \ (a(L(x \ 1,x,y),y,z) * u).
a(x,R(x \ 1,y,z),u) * (R(x \ 1,y,z) * u) = x \ ((x * R(x \ 1,y,z)) * u).
a(x,L(x \ 1,y,z),u) * (R(x \ 1,y,z) * u) = x \ ((x * R(x \ 1,y,z)) * u).
T(a(x,y,L(y \ 1,z,u)) \ (x * y),y \ 1) = R(y \ 1,z,u) \ ((x * y) * R(x \ (x / y),z,u)).
R(x \ 1,y,z) \ ((u * x) * R(u \ (u / x),y,z)) = a(u,x,L(x \ 1,y,z)) \ (x * u).
R(x \ 1,y,z) \ (u * (x * R(x \ 1,y,z))) = a(u,x,L(x \ 1,y,z)) \ (x * u).
a(K(x,y) * ((z \ L(z,u,w)) \ v5),z \ K(y,x),L(z,u,w)) = a((K(y,x) / z) \ v5,K(y,x) / z,L(z,u,w)).
((x * y) * (z * a(u,a(w,v5,v6),v7))) / (y * (z * a(u,a(w,v5,v6),v7))) = R(R(x,y,z),y * z,a(u,a(w,v5,v6),v7)).
(x / y) \ (x * (K(y,x) * ((x / y) * L((x / y) \ 1,z,u)))) = T(y * ((y \ x) * L((y \ x) \ 1,z,u)),x / y).
T(((x \ 1) * (R(x \ 1,y,z) / u)) \ R(x \ 1,y,z),x \ 1) = R((x \ 1) \ u,x \ 1,x * R(x \ 1,y,z)).
R(R(x,y,z),y * z,a(u,a(w,v5,v6),v7)) = R(x,y,z * a(u,a(w,v5,v6),v7)).
R(x,y,z * a(u,a(w,v5,v6),v7)) = R(x,y,z).
R(x \ R(x,y,z),x,y * (z * a(u,a(w,v5,v6),v7))) = a(x,y,z * a(u,a(w,v5,v6),v7)).
R(x,y,z * (u * a(w,a(v5,v6,v7),v8))) = R(x,y,z * u).
R(x \ R(x,y,z),x,y * z) = a(x,y,z * a(u,a(w,v5,v6),v7)).
a(x,y,z * a(u,a(w,v5,v6),v7)) = a(x,y,z).
a(x,y,L(z,a(u,w,v5),v6)) = a(x,y,z).
(x / y) \ (x * (K(y,x) * ((x / y) * L((x / y) \ 1,z,u)))) = T(y * (y \ (x * L(x \ y,z,u))),x / y).
(x / y) \ (x * (K(y,x) * ((x / y) * L((x / y) \ 1,z,u)))) = T(x * L(x \ y,z,u),x / y).
(x / y) \ (x * (K(y,x) * ((x / y) * L((x / y) \ 1,z,u)))) = L(x \ y,z,u) * x.
(x / y) \ (x * (K(y,x) * ((y \ x) * L((y \ x) \ 1,z,u)))) = L(x \ y,z,u) * x.
(x / y) \ (x * (K(y,x) * (y \ (x * L(x \ y,z,u))))) = L(x \ y,z,u) * x.
R((x \ 1) \ y,x \ 1,x * R(x \ 1,z,u)) = ((R(x \ 1,z,u) / y) * (x \ 1)) \ R(x \ 1,z,u).
R((x \ 1) \ y,x \ 1,x * R(x \ 1,z,u)) = R(x \ 1,z,u) \ ((R(x \ 1,z,u) / (x \ 1)) * y).
R((x \ 1) \ y,x \ 1,x * R(x \ 1,z,u)) = R(x \ 1,z,u) \ (((x \ 1) \ R(x \ 1,z,u)) * y).
R((x \ 1) \ y,x \ 1,x * R(x \ 1,z,u)) = R(x \ 1,z,u) \ ((x * R(x \ 1,z,u)) * y).
R((x \ 1) \ y,x \ 1,x * R(x \ 1,z,u)) = R(x \ 1,z,u) \ (y * ((x \ 1) \ R(x \ 1,z,u))).
R((x \ 1) \ y,x \ 1,x * R(x \ 1,z,u)) = R(x \ 1,z,u) \ (y * (x * R(x \ 1,z,u))).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z).
L(x * L(x \ 1,y,y),z,u) = a(L(x,z,u),y,y \ 1).
L((x \ 1) * L((x \ 1) \ 1,y,z),u,x) = (x \ 1) * L(L(x \ 1,u,x) \ 1,y,z).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(a(w,u,x),y,z).
a(L(x,y,z),u,u \ 1) = L(a(x,u,u \ 1),y,z).
a(L(x,y,z),u,u \ 1) = L(a(u,u,x),y,z).
a(x,x,L(y,z,u)) = L(a(x,x,y),z,u).
a(x,x,L(y,z,u)) = R(a(x,x,y),z,u).
a(x,x,L(x \ y,z,u)) = L(a(x,x,y),z,u).
L(a(x,x,y \ x),z,u) = a(x,x,L(y \ 1,z,u)).
x * a(y,y,L(z,y,y \ x)) = (x / y) * L(y,y,z).
a(x,x,L(L(x,y,z) \ u,w,v5)) = L(a(x,x,u),w,v5).
a(x,x,L(y,x,x \ z)) = z / (x * (L(x,x,y) \ z)).
a(x,x,L(y \ x,z,u)) = R(a(y,x,x),z,u).
a(x,x,L(x \ y,z,u)) = a(x,x,L(y,z,u)).
(L(x,x,y) * z) / (x * z) = a(L(y,x,z),x,x \ 1).
x \ ((x / y) * L(y,y,z)) = a(L(z,y,x),y,y \ 1).
a(L(x,y,z),y,y \ 1) * z = L(y,y,x) * (y \ z).
a(x,x,L(y \ 1,z,u)) = a(x,x,L(y \ x,z,u)).
L(L(x,x,y) \ x,z,u) = a(x,x,L(y \ 1,z,u)).
a(x,x,L(L(x,y,z) \ u,w,v5)) = a(x,x,L(u,w,v5)).
(L(x,x,y) * z) / (x * z) = a(x,x,L(y,x,z)).
a(x,x,L(y,x,z)) \ (L(x,x,y) * z) = x * z.
x * a(y,y,L(z,y,x)) = (x / y) * L(y,y,z).
a(x,x,L(y,x,x \ z)) = a(x,x,L(y,x,z)).
x / (y * (L(y,y,z) \ x)) = a(y,y,L(z,y,x)).
a(x,x,L(T(x \ ((x \ y) \ z),u),x,y)) = a(x,x,T(((x \ y) * x) \ z,u)).
a(x,x,L(y,x,z)) \ z = x * (L(x,x,y) \ z).
a(x,x,L(y,x,z)) * z = L(x,x,y) * (x \ z).
a(x,y,L(z,u,w)) = L(a(x,y,z),u,w).
L(a(x,y,z),a(u,w,v5),v6) = a(x,y,z).
L(L(x,x,y) \ x,z,u) = a(x,x \ 1,L(y,z,u)).
a(x,y,L(y \ 1,z,u)) = L(a(y,y,x),z,u).
a(x,y \ 1,L(y,z,u)) = L(a(y,y,x),z,u).
x * (y * ((x * y) \ L(y,z,u))) = y * a(u,z,L(y \ 1,y,x)).
a(x,y,a(z,z,L(u,w,v5))) = L(a(x,y,a(z,z,u)),w,v5).
a(x,a(y,z,u),a(y,z,u)) = 1.
a(x,y,z) = ((x * y) \ ((x * (y * z)) / z)) \ 1.
a(x,y,z) \ R(a(x,y,z),u,w) = a(a(x,y,z),u,w).
x / (a(y,z,u) \ 1) = x * a(y,z,u).
(x * a(y,z,u)) * a(w,v5,v6) = x * (a(y,z,u) * a(w,v5,v6)).
(a(x,y,z) \ 1) * u = a(x,y,z) \ u.
a(x,y,z) * (x \ (a(x,y,z) \ 1)) = x \ 1.
(a(x,y,z) \ 1) \ u = u * a(x,y,z).
x \ ((a(y,z,u) \ 1) \ x) = a(y,z,u).
a(x,y,y) \ z = z * a(y,y,x).
a(x,x,y) \ z = z * a(y,x,x).
T((x * a(y,y,z)) * u,x) = u * (a(z,y,y) \ x).
x * a(L(y,z,x),z,z) = z * (L(z,z,y) \ x).
(L(x,x,y) * z) * a(L(y,x,z),x,x) = x * z.
a(x,y,L(y \ 1,z,u)) = a(y,y,L(x,z,u)).
a(x,y \ 1,L(y,z,u)) = a(y,y,L(x,z,u)).
a(x,y,z) \ (x \ 1) = x \ (a(x,y,z) \ 1).
R(x \ 1,y,z) \ (u * (x * R(x \ 1,y,z))) = a(x,x,L(u,y,z)) \ (x * u).
a(x,y,z) \ 1 = a(z,y,x).
a(x \ 1,y,z) = L(x,y,z) \ x.
L(L(a(x,y,z),a(z,y,x),u),u * a(z,y,x),w) = (w * (u * a(z,y,x))) \ (w * u).
L(x,a(y,z,u),w \ 1) = L(x,a(u,z,y),w).
a(x,y,y \ L(y,z \ 1,u \ 1)) = y * L(y \ 1,a(y,z,u),x).
a(x,y,z) \ u = a(z,y,x) * u.
x \ (a(y,z,u) \ x) = a(u,z,y).
(a(x,y,z) * u) * a(z,y,x) = u.
a(a(x,y,z),u,w) = a(w,u,a(z,y,x)).
L(L(x,x,y) \ x,z,u) = a(x,x,L(y,z,u) \ 1).
T((x * y) * a(y,y,z),x) = y * (a(z,y,y) \ x).
a(x,x,L(y \ 1,z,u)) = a(x,x,L(y,z,u) \ 1).
(x * y) * a(x,x,z) = x * (a(z,x,x) \ y).
(x * y) * a(x,x,z) = x * (y * a(x,x,z)).
L(a(x,x,y),z,x) = a(x,x,y).
a(x,x,L(y,z,x)) = a(x,x,y).
a(x,x,L(L(y,z,x),u,w)) = a(x,x,L(y,u,w)).
a(x,x,L((x \ y) \ z,u,w)) = a(x,x,L(y \ (x * z),u,w)).
L(x \ 1,x,L(y,z,x)) = a(x,x,y) \ (x \ 1).
L(x \ 1,x,L(y,z,x)) = L(x \ 1,x,y).
a(L(x,y,z),L(x,y,z),L(L(z \ 1,z,x),u,w)) = a(L(x,y,z),L(x,y,z),L(z \ 1,u,w)).
a(x,x,L(y \ 1,z,u)) = a(L(y,z,u),x,x).
a(L(x,y,z),z,z) = a(z,z,x \ 1).
a(x,x,L(y \ x,z,u)) = a(L(y,z,u),x,x).
a(L(x \ 1,y,z),u,u) = a(u,u,L(x,y,z)).
a(L(x,y,z),z,z) = a(x,z,z).
a((x * y) \ z,x,x) = a(y \ (x \ z),x,x).
a(L(x,y,z),u,u) = R(a(x,u,u),y,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(L(x \ y,z,u),y,y) = L(a(y,y,x),z,u).
a(L(L(x,y,z) \ u,w,v5),x,x) = L(a(u,x,x),w,v5).
a(x,x,L(y \ 1,z,u)) = a(y,x,L(x,z,u)).
a(L(x,y,L(z,u,w)),z,z) = a(x,z,z).
a(x,y,L(y,z,u)) \ w = w * a(y,y,L(x,z,u)).
a(x,x,y \ L(x,z,u)) = a(y,x,x).
a(x,x,L(y \ L(x,z,u),w,v5)) = L(a(y,x,x),w,v5).
a(x,x,L(y,y,L(x,z,u))) = a(y \ L(x,z,u),x,x).
a((x * y) \ z,y,y) = a(x \ (y \ z),y,y).
a(L(x \ y,z,u),y,y) = a(y,y,L(x,z,u)).
a(x \ (y * z),z,z) = a(z,z,L(y \ x,y \ x,y)).
a(L(x,y,z),x,u) = a(x,x,L(u,y,z)).
a(x,L(x,y,z),u) = a(x,x,L(u,y,z)).
(a(x,x,L(y,z,u)) * x) \ (x * y) = L(y,x,L(x,z,u)).
a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w).
a(L(L(x,y,z) \ u,w,v5),x,x) = a(L(u,w,v5),x,x).
a(x,x,L(y \ L(x,z,u),w,v5)) = a(y,x,L(x,w,v5)).
a(x,x,L(L(x,y,z) \ u,u,u)) = a(u \ L(x,y,z),x,x).
a(x \ (y * z),z,z) = a(z,z,(x \ y) \ 1).
a(x \ (y * z),z,z) = a(x \ y,z,z).
a(x \ (y / z),z,z) = a(x \ y,z,z).
a(x \ (y \ z),y,y) = a(x \ z,y,y).
a(a(x,y,z),u,w) \ (a(x,y,z) \ 1) = L(a(x,y,z),u,w) \ 1.
a(x,y,z) \ a(x,y,L(z,u,w)) = a(a(x,y,z),u,w).
a(L(x,y,z) \ u,x,L(x,w,v5)) = a(L(u,w,v5),x,x).
a(L(x \ y,z,u),x,x) = a(L(y,z,u),x,x).
a((x * y) \ (x * z),y,y) = a(L(z,y,x),y,y).
a(x \ (y \ (x * z)),y,y) = a(L(z,y,x),y,y).
a(L(x,y,z),y,y) = a(z \ (z * x),y,y).
a(L(x,y,z),y,y) = a(x,y,y).
x * (L(x,x,y) \ z) = z * a(y,x,x).
(L(x,x,y) * z) * a(y,x,x) = x * z.
a(x,x,y) * (x * z) = L(x,x,y) * z.
1 \ (L(x,x,y) * z) = a(x,x,y) * (x * z).
L(x,x,y) * (x \ z) = a(x,x,y) * z.
a(x,x,L(y,x,z)) = a(x,x,y).
a(a(x,x,y),x,z) = 1.
a(x,a(x,x,y),z) = 1.
a(x,a(y,x,x),z) = 1.
a(x,a(y,z,z),z) = 1.
L(x,a(y,x,x),z) = x.
L(x,a(x,x,y),z) = x.
x * (T(a(y,y,z),x) * y) = (a(y,y,z) * x) * y.
(a(x,x,y) * z) * x = z * (a(x,x,y) * x).
(a(x,x,y) * z) * x = z * L(x,x,y).
a(x,y,z) * a(u,w,a(z,y,x)) = a(x,y,L(z,w,u)).
a(x,y,z) * a(z,y,L(x,u,w)) = a(a(z,y,x),u,w).
a(L(x,y,z) \ u,x,L(x,w,v5)) = a(u,x,L(x,w,v5)).
a(x,y,z) \ a(u,w,a(x,y,z)) = a(z,y,L(x,w,u)).
a(x,y,L(y,z,u)) * L(y,y,x) = a(a(x,y,y),z,u) * y.
L(x,x,L(y,z,u)) \ (x * y) = L(y,x,L(x,z,u)).
x * (L(x,x,L(y,z,u)) \ y) = L(y,x,L(x,z,u)).
x * a(L(x,y,z),u,u) = L(x,u,L(u,y,z)).
x * a(x,y,L(y,z,u)) = L(x,y,L(y,z,u)).
a(x \ L(y,z,u),y,y) = a(y,y,L(x,x,x)).
a(x \ L(y,z,u),y,y) = a(y,y,x).
(a(x,y,z) * u) * a(w,v5,v6) = u * (a(x,y,z) * a(w,v5,v6)).
a(x,y,z) * (u * a(w,v5,v6)) = u * (a(w,v5,v6) * a(x,y,z)).
a(x,y,z) * (u * a(w,v5,v6)) = u * (a(x,y,z) * a(w,v5,v6)).
(a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)).
L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z).
a(a(x,y,z),u,a(w,v5,v6)) = 1.
a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z).
a(x,y,z) \ (a(a(x,y,z),u,w) \ 1) = L(a(x,y,z),u,w) \ 1.
a(x,y,z) \ a(u,w,a(x,y,z)) = L(a(x,y,z),w,u) \ 1.
a(x,y,z) \ a(u,w,a(x,y,z)) = a(x,y,L(z,w,u)) \ 1.
a(x,y,z) \ a(u,w,a(x,y,z)) = a(L(z,w,u),y,x).
a(L(x,y,z),u,w) = a(x,u,L(w,y,z)).
a(L(x,y,z),L(x,u,w),v5) = a(x,x,L(L(v5,y,z),u,w)).
x * a(y,z,L(x \ 1,u,w)) = L(x,z,L(y,u,w)).
x * (y * ((x * y) \ L(y,z,u))) = L(y,z,L(u,y,x)).
L(x,y,L(z,x,y)) = x * a(x,y,z).
L(x,y,x * z) = x * a(x,y,z).
L(x,y,x * z) = a(x,y,z) * x.
((x * y) * a(z,u,w)) / L(a(z,u,w) * y,x,a(x,y,a(z,u,w))) = L(x,y,x * a(z,u,w)).
a(x,y,y \ L(y,z \ 1,u \ 1)) = a(x,a(y,z,u),y).
a(x,y,a(z,u,y) \ 1) = a(x,a(y,u,z),y).
a(x,a(y,z,u),y) = a(x,y,a(y,z,u)).
a(x,x,L(T(x \ ((x \ y) \ z),u),x,y)) = a(x,x,T(T(y,x) \ z,u)).
a(x,x,L(T(x \ ((x \ y) \ z),u),x,y)) = a(x,x,T(y,x) \ z).
R(x \ 1,y,z) \ (u * (x * R(x \ 1,y,z))) = (x * u) * a(L(u,y,z),x,x).
R(x \ 1,y,z) \ (u * (x * R(x \ 1,y,z))) = (x * u) * a(u,x,L(x,y,z)).
R(x \ 1,y,z) \ (u * (x * R(x \ 1,y,z))) = x * R(u,x,L(x,y,z)).
R(x \ 1,y,z) \ (u * (x * R(x \ 1,y,z))) = x * L(u,x,L(x,y,z)).
R((x \ 1) \ y,x \ 1,x * R(x \ 1,z,u)) = x * L(y,x,L(x,z,u)).
R(x \ 1,y,z) \ ((x * R(x \ 1,y,z)) * u) = x * L(u,x,L(x,y,z)).
(x * y) \ (y * L(T(x,y),y,L(y,z,u))) = a(y,L(y \ 1,z,u),x).
(x * y) \ (L(x,y,L(y,z,u)) * y) = a(y,L(y \ 1,z,u),x).
a(x,L(x \ 1,y,z),u) = a(u,x,L(x,y,z)).
L(x \ 1,y,z) \ ((x * L(x \ 1,y,z)) * u) = a(u,x,L(x,y,z)) * (x * u).
a(x \ y,x,L(x,z,u)) * (R(x \ 1,z,u) * y) = (x * R(x \ 1,z,u)) * (x \ y).
a(x,y,L(y,z,u)) * (R(y \ 1,z,u) * x) = y \ ((y * R(y \ 1,z,u)) * x).
L(x \ 1,y,z) \ ((x * L(x \ 1,y,z)) * u) = x * R(u,x,L(x,y,z)).
L(x \ 1,y,z) \ ((x * L(x \ 1,y,z)) * u) = x * L(u,x,L(x,y,z)).
L(x,y * L(y \ 1,z,u),y \ 1) = (y \ 1) * (y * L(x,y,L(y,z,u))).
L(L(x,y,L(y,z,u)),y,y \ 1) = L(x,y * L(y \ 1,z,u),y \ 1).
L((x \ 1) * L((x \ 1) \ 1,y,z),u,x) = (x \ 1) * L((x \ 1) \ 1,y,z).
L((x \ 1) * L((x \ 1) \ 1,y,z),u,x) = x \ L(x,y,z).
L(x \ L(x,y,z),u,x) = x \ L(x,y,z).
x * (y * T(x \ L(x,z,u),x * y)) = (x \ L(x,z,u)) * (x * y).
(x \ L(x,y,z)) * (x * u) = x * (u * (x \ L(x,y,z))).
L(a(x,y,z),u * a(z,y,x),w) = (w * (u * a(z,y,x))) \ (w * u).
a(x,y,a(z,z,L(u,w * a(a(z,z,u),y,x),v5))) = (v5 * (w * a(a(z,z,u),y,x))) \ (v5 * w).
a(x,y,L(y,z,u)) * (R(y \ 1,z,u) * x) = (y * R(y \ 1,z,u)) * (y \ x).
x \ ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x \ u).
x \ ((x * L(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x \ u).
(x * R(x \ 1,y,z)) * (x \ u) = x \ (a(z,y,x) * u).
(x * L(x \ 1,y,z)) * (x \ u) = x \ (a(z,y,x) * u).
x \ (a(y,z,x) * u) = a(y,z,x) * (x \ u).
a(L(x,y,z),L(x,y,z),L(L(z \ 1,z,x),u,w)) = a(z,L(x,y,z),L(L(x,y,z),u,w)).
a(x,x,L(L(L(L(y \ 1,y,x),z,u),w,y),w,y)) = a(y,L(x,w,y),L(L(x,w,y),z,u)).
a(x,L(y,z,x),L(L(y,z,x),u,w)) = a(y,y,L(L(L(x \ 1,x,y),u,w),z,x)).
a(x,L(y,z,x),L(L(y,z,x),u,w)) = a(y,y,L(L(x \ 1,x,y),u,w)).
a(x,L(y,z,x),L(L(y,z,x),u,w)) = a(y,y,L(x \ 1,u,w)).
a(x,L(y,z,x),L(L(y,z,x),u,w)) = a(x,y,L(y,u,w)).
a(x,L(y,y,x),L(y,z,u)) = a(x,y,L(y,z,u)).
(x \ 1) \ R(K(y,z) \ ((K(y,z) / x) * u),w,v5) = x * R(((K(y,z) / x) \ K(y,z)) \ u,w,v5).
(x \ 1) \ R(K(y,z) \ ((K(y,z) / x) * u),w,v5) = x * R(x \ u,w,v5).
(x \ 1) \ R(K(y,z) * ((K(z,y) / x) * u),w,v5) = x * R(x \ u,w,v5).
(x \ 1) \ R((x \ 1) * y,z,u) = x * R(x \ y,z,u).
(x \ K(y,z)) \ R((x \ 1) * u,w,v5) = K(z,y) * (x * R(x \ u,w,v5)).
K(x * R((x \ 1) * y,z,u),w) * (x * R(x \ y,z,u)) = T(R(y * (x \ 1),z,u) / (x \ 1),w).
x * (K(R((x \ 1) * y,z,u) * x,w) * R(x \ y,z,u)) = T(R(y * (x \ 1),z,u) / (x \ 1),w).
x * R(K(R((x \ 1) * y,z,u) * x,w) * (x \ y),z,u) = T(R(y * (x \ 1),z,u) / (x \ 1),w).
x * R(K(R((x \ 1) * y,z,u) * x,w) * (x \ y),z,u) = T((x \ 1) \ R((x \ 1) * y,z,u),w).
x * R(K(R((x \ 1) * y,z,u) * x,w) * (x \ y),z,u) = T(x * R(x \ y,z,u),w).
x * R(K(((x \ 1) * y) * x,z) * (x \ y),u,w) = T(x * R(x \ y,u,w),z).
x * R(K(1 * y,T(z,x)) * (x \ y),u,w) = T(x * R(x \ y,u,w),z).
x * R(K(y,T(z,x)) * (x \ y),u,w) = T(x * R(x \ y,u,w),z).
x * R(T(T(y,T(z,x)) / x,y),u,w) = T(x * R(x \ y,u,w),z).
T(x * R(x \ y,z,u),w) = x * R(x \ T(y,w),z,u).
(x \ y) * R((x \ y) \ K(x,z),u,w) = x \ T(y * R(y \ x,u,w),z).
x \ T(y * R(y \ x,z,u),w) = K(x,w) * a(u,z,x \ y).
x \ T(y * L(y \ x,z,u),w) = K(x,w) * a(u,z,x \ y).
T(x \ (L(y \ x,z,u) * y),w) = K(x,T(y,w)) * a(u,z,x \ y).
T(x \ (L(y \ x,z,u) * y),w) = T(K(x,y) * a(u,z,x \ y),w).
x \ (L(y \ x,z,u) * y) = a(u,z,x \ y) * K(x,y).
x * (a(L(x,y,z),x \ (L(x,y,z) \ L(x,y,z)),u) * ((L(x,y,z) \ (x \ L(x,y,z))) * u)) = L(u,x \ L(x,y,z),x).
x * (a(L(x,y,z),x \ 1,u) * ((L(x,y,z) \ (x \ L(x,y,z))) * u)) = L(u,x \ L(x,y,z),x).
x * (a(x \ 1,L(x,y,z),u) * ((L(x,y,z) \ (x \ L(x,y,z))) * u)) = L(u,x \ L(x,y,z),x).
x * (a(x \ 1,L(x,y,z),u) * ((x \ (L(x,y,z) \ L(x,y,z))) * u)) = L(u,x \ L(x,y,z),x).
x * (a(x \ 1,L(x,y,z),u) * ((x \ 1) * u)) = L(u,x \ L(x,y,z),x).
(x * ((y * z) * K(u,w))) \ (K(u,T(w,x * (y * z))) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u,T(w,x * (y * z)))).
(x \ y) * (((x \ y) * L((x \ y) \ 1,z,u)) / (((x \ y) \ K(x,w)) \ 1)) = x \ (y * L(y \ T(x,w),z,u)).
(x \ y) * ((x \ (y * L(y \ x,z,u))) / (((x \ y) \ K(x,w)) \ 1)) = x \ (y * L(y \ T(x,w),z,u)).
(x \ y) * ((x \ (y * L(y \ x,z,u))) / (K(w,x) * (x \ y))) = x \ (y * L(y \ T(x,w),z,u)).
(x \ y) * ((x \ (y * L(y \ x,z,u))) / (T(x,w) \ y)) = x \ (y * L(y \ T(x,w),z,u)).
(x \ y) * ((T(x,z) \ y) \ (x \ (y * L(y \ x,u,w)))) = x \ (y * L(y \ T(x,z),u,w)).
K(x,y) * (x \ (z * L(z \ x,u,w))) = x \ (z * L(z \ T(x,y),u,w)).
(x / y) \ (x * (y \ (x * L(x \ T(y,x),z,u)))) = L(x \ y,z,u) * x.
(x / y) \ (x * (y \ (x * L(T(x \ y,x),z,u)))) = L(x \ y,z,u) * x.
(x / y) \ (x * (y \ (L(x \ y,z,u) * x))) = L(x \ y,z,u) * x.
(x / y) \ (x * (a(z,u,y \ x) * K(y,x))) = L(x \ y,u,z) * x.
(x / y) \ T(a(z,u,y \ x) * x,y \ x) = L(x \ y,u,z) * x.
((x / y) \ (a(z,u,y \ x) * x)) * K(y,x) = L(x \ y,u,z) * x.
T((x \ y) \ (a(z,u,x \ y) * y),K(y,x)) = L(y \ x,u,z) * y.
T(a(x,y,z \ u) * ((z \ u) \ u),K(u,z)) = L(u \ z,y,x) * u.
T(a(x,y,z \ u) * T(z,u),K(u,z)) = L(u \ z,y,x) * u.
T(T(a(x,y,z \ u) * z,u),K(u,z)) = L(u \ z,y,x) * u.
T(a(x,y,z \ u) * z,T(u,z)) = L(u \ z,y,x) * u.
T(a(x,y,z \ u) * z,u) = L(u \ z,y,x) * u.
L(x \ y,x,z) \ y = L(y \ x,x,z) * y.
x \ (L(L(x,y,z) \ x,x,u) * L(x,y,z)) = a(u,x,a(z,y,x \ 1)).
x \ (L(x,y,z) * L(L(x,y,z) \ x,x,u)) = a(u,x,a(z,y,x \ 1)).
(x * (y * (z * K(u,w)))) \ (K(u,T(w,x * (y * z))) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u,T(w,x * (y * z)))).
L(a(x,y,z),x * (y * z),K(u,T(w,x * (y * z)))) = (x * (y * (z * K(u,w)))) \ ((x * y) * (z * K(u,w))).
L(a(x,y,z),x * (y * z),K(u,T(w,x * (y * z)))) = ((x * (y * (z * K(u,w)))) \ ((x * y) * z)) * K(u,w).
((x * (y * (z * K(u,w)))) \ ((x * y) * z)) * K(u,w) = a(x,y,z).
a(x,y,z * K(u,T(w,v5))) = a(x,y,z).
a(x,y,T(z,u) \ w) = a(x,y,z \ w).
a(x,x,L(T(x \ ((x \ y) \ z),u),x,y)) = a(x,x,y \ z).
a(x,x,L(x \ ((x \ y) \ z),x,y)) = a(x,x,y \ z).
a(x,x,L((x \ y) \ z,x,y)) = a(x,x,y \ z).
a(x,x,L(y \ (x * z),x,y)) = a(x,x,y \ z).
a(x,x,y \ (x * z)) = a(x,x,y \ z).
a(x,x,y \ (x \ z)) = a(x,x,y \ z).
a(x,x,L(y \ (x * z),u,w)) = L(a(x,x,y \ z),u,w).
a(x,x,L(y \ (x \ z),u,w)) = L(a(x,x,y \ z),u,w).
a(x,x,L(y \ (x * z),u,w)) = a(x,x,L(y \ z,u,w)).
a(x,x,L(y \ (x \ z),u,w)) = a(x,x,L(y \ z,u,w)).
a(x,x,L((x \ y) \ z,u,w)) = a(x,x,L(y \ z,u,w)).
a(x,a(y,z,u),w) * ((v5 * (v6 * a(x,a(y,z,u),w))) \ (v5 * (v6 * v7))) = L(K(a(x,a(y,z,u),w),v6) * v7,v6 * a(x,a(y,z,u),w),v5).
a(x,x \ L(x,y,z),(x \ L(x,y,z)) \ u) = ((x \ L(x,y,z)) * (x * (L(x,y,z) \ u))) \ u.
a(x,x \ L(x,y,z),(x \ L(x,y,z)) \ u) = (x * ((L(x,y,z) \ u) * (x \ L(x,y,z)))) \ u.
(x * ((L(x,y,z) \ u) * (x \ L(x,y,z)))) \ u = a(u \ L(x,y,z),x \ L(x,y,z),x).
L(L(x,y,z) \ u,L(x,K(w,v5) * y,z),z * (K(w,T(v5,v6)) * y)) = (z * ((K(w,v5) * y) * x)) \ ((z * (K(w,v5) * y)) * u).
L(L(x,y,z) \ u,L(x,y,z),z * (K(w,T(v5,v6)) * y)) = (z * ((K(w,v5) * y) * x)) \ ((z * (K(w,v5) * y)) * u).
L(L(x,y,z) \ u,L(x,y,z),y * z) = (z * ((K(w,v5) * y) * x)) \ ((z * (K(w,v5) * y)) * u).
(x * ((K(y,z) * u) * w)) \ ((x * (K(y,z) * u)) * v5) = (x * (u * w)) \ ((x * u) * v5).
a(x,K(y,z) * u,w) = (x * (u * w)) \ ((x * u) * w).
a(x,K(y,z) * u,w) = a(x,u,w).
a(x,y * K(z,u),w) = a(x,y,w).
a(x,y \ K(z,u),w) = a(x,y \ 1,w).
a((K(x,y) / z) \ u,K(x,y) / z,L(z,w,v5)) = a(K(y,x) * ((z \ L(z,w,v5)) \ u),z \ 1,L(z,w,v5)).
a((x \ L(x,y,z)) \ u,x \ 1,L(x,y,z)) = a((K(w,v5) / x) \ u,K(w,v5) / x,L(x,y,z)).
a(L(x,y,z) \ u,x \ 1,L(x,y,z)) = a((K(w,v5) / x) \ u,K(w,v5) / x,L(x,y,z)).
a(L(x,y,z) \ u,x \ 1,L(x,y,z)) = a((K(w,v5) / x) \ u,x \ K(w,v5),L(x,y,z)).
a(L(x,y,z) \ u,x \ 1,L(x,y,z)) = a((K(w,v5) / x) \ u,x \ 1,L(x,y,z)).
a(L(x,y,z) \ u,x \ 1,L(x,y,z)) = a((x \ 1) \ u,x \ 1,L(x,y,z)).
a((x \ 1) \ (y \ (x \ L(x,z,u))),x \ 1,L(x,z,u)) = a(x \ 1,L(x,z,u),y).
a(x,x,L((x \ 1) \ (y \ (x \ L(x,z,u))),z,u)) = a(x \ 1,L(x,z,u),y).
a(x,x,L(1 \ (y \ (x \ L(x,z,u))),z,u)) = a(x \ 1,L(x,z,u),y).
a(x,x,L(y \ (x \ L(x,z,u)),z,u)) = a(x \ 1,L(x,z,u),y).
a(x,x,L(y \ L(x,z,u),z,u)) = a(x \ 1,L(x,z,u),y).
a(x \ 1,L(x,y,z),u) = a(u,x,L(x,y,z)).
a(L(x,y,z) \ u,x,L(x,y,z)) * ((x \ 1) * u) = ((x \ 1) * L(x,y,z)) * (L(x,y,z) \ u).
(x \ 1) * (y * a(L(x,z,u) \ y,x,L(x,z,u))) = ((x \ 1) * L(x,z,u)) * (L(x,z,u) \ y).
x * (a(y,x,L(x,z,u)) * ((x \ 1) * y)) = L(y,x \ L(x,z,u),x).
a(x,y,L(y,z,u)) * ((y \ 1) * x) = ((y \ 1) * L(y,z,u)) * (L(y,z,u) \ x).
(x \ 1) * (y * a(y,x,L(x,z,u))) = ((x \ 1) * L(x,z,u)) * (L(x,z,u) \ y).
((x \ 1) * L(x,y,z)) * (L(x,y,z) \ u) = (x \ 1) * L(u,x,L(x,y,z)).
a(x,y,L(y,z,u)) * ((y \ 1) * x) = (y \ 1) * L(x,y,L(y,z,u)).
(x \ L(x,y,z)) * (L(x,y,z) \ u) = (x \ 1) * L(u,x,L(x,y,z)).
x * ((x \ 1) * L(y,x,L(x,z,u))) = L(y,x \ L(x,z,u),x).
L(L(x,y,L(y,z,u)),y,y \ 1) = L(x,y \ L(y,z,u),y).
L(x,y * L(y \ 1,z,u),y \ 1) = L(x,y \ L(y,z,u),y).
L(x,y * L(y \ 1,z,u),y \ 1) = L(x,y,y \ R(y,z,u)).
L(x,a(y,z,u),u \ 1) = L(x,u,u \ R(u,z,y)).
L(x,a(y,z,u),u \ 1) = L(x,u,u \ L(u,z,y)).
L(x,y,y \ L(y,z,u)) = L(x,a(y,z,u),y).
(L(x,y,z) \ u) * (x \ L(x,y,z)) = (x \ 1) * L(u,x,L(x,y,z)).
a(x \ L(y,z,u),y \ L(y,z,u),y) = (y * ((y \ 1) * L(x,y,L(y,z,u)))) \ x.
a(x \ L(y,z,u),y \ L(y,z,u),y) = L(x,y \ L(y,z,u),y) \ x.
a(x \ L(y,z,u),y \ L(y,z,u),y) = L(x,y,y \ R(y,z,u)) \ x.
a(x \ L(y,z,u),y \ L(y,z,u),y) = L(x,y,y \ L(y,z,u)) \ x.
a(x \ L(y,z,u),y,y \ L(y,z,u)) = L(x,y,y \ L(y,z,u)) \ x.
a(x \ L(y,z,u),y,y \ L(y,z,u)) = L(x,a(y,z,u),y) \ x.
a(x \ L(y,z,u),y,y \ L(y,z,u)) = a(y,a(y,z,u),x).
a(x,a(y,z,u),w) * (a(x,a(y,z,u),w) \ ((v5 * v6) \ (v5 * (v6 * v7)))) = L(K(a(x,a(y,z,u),w),v6) * v7,v6 * a(x,a(y,z,u),w),v5).
L(K(a(x,a(y,z,u),w),v5) * v6,v5 * a(x,a(y,z,u),w),v7) = a(x,a(y,z,u),w) * (a(x,a(y,z,u),w) \ L(v6,v5,v7)).
L(K(a(x,a(y,z,u),w),v5) * v6,v5 * a(x,a(y,z,u),w),v7) = L(v6,v5,v7).
L(1 * x,y * a(z,a(u,w,v5),v6),v7) = L(x,y,v7).
L(x,y * a(z,a(u,w,v5),v6),v7) = L(x,y,v7).
(x * y) \ ((x * (y * z)) * R(L(L(z \ 1,z,y),y * z,x),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w).
(x * y) \ ((x * (y * z)) * R(L(L(z \ 1,z,y),y * z,x),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w).
(x * y) \ ((x * (y * z)) * L(R(L(z \ 1,z,y),u,w),y * z,x)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w).
(x * y) \ ((x * (y * z)) * L(L(R(z \ 1,u,w),z,y),y * z,x)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L(R(z \ 1,u,w),z,y))) = 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) = L(x * R(x \ 1,u,w),y,z).
L(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(x,u,w) * (L(L(x,u,w),y,z) \ 1).
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(x,y,z) * L(L(x,y,z) \ x,x,u) = a(u,L(x,x,u),L(x,y,z)) * L(x,x,u).
L(x,y,z) * L(L(x,y,z) \ x,x,u) = a(u,x,L(x,y,z)) * L(x,x,u).
L(x,y,z) * L(L(x,y,z) \ x,x,u) = a(a(u,x,x),y,z) * x.
x \ (a(a(y,x,x),z,u) * x) = a(y,x,a(u,z,x \ 1)).
a(x,y,a(z,u,y \ 1)) = a(a(x,y,y),u,z).
a(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u).
a(a(x \ L(y,z,u),y,y),z,u) = a(y,a(y,z,u),x).
a(x,a(x,y,a(z,u,w)),v5) = 1.
a(a(x,x,y),z,u) = a(x,a(x,z,u),y).
x \ ((x * a(x,y,a(z,u,w))) * v5) = (a(x,y,a(z,u,w)) * v5) * 1.
a(x,y,a(z,z,L(u,w * a(z,a(z,y,x),u),v5))) = (v5 * (w * a(a(z,z,u),y,x))) \ (v5 * w).
x \ ((x * a(x,y,a(z,u,w))) * v5) = a(x,y,a(z,u,w)) * v5.
x \ (L(x,y,x * a(z,u,w)) * v5) = a(x,y,a(z,u,w)) * v5.
L(x,y,x * a(z,u,w)) * (x \ v5) = a(x,y,a(z,u,w)) * v5.
(x * (y * a(a(z,z,u),w,v5))) \ (x * y) = a(v5,w,a(z,z,L(u,y,x))).
(x * (y * a(z,a(z,u,w),v5))) \ (x * y) = a(w,u,a(z,z,L(v5,y,x))).
((x * y) \ (x * y)) * a(z,a(u,w,v5),u) = a(v5,w,a(u,u,L(z,y,x))).
a(x,y,a(z,z,L(u,w,v5))) = 1 * a(u,a(z,y,x),z).
a(x,y,a(z,z,L(u,w,v5))) = 1 * a(u,z,a(z,y,x)).
a(x,y,a(y,z,a(u,w,v5))) = 1.
L(x,y,a(y,z,a(u,w,v5))) * 1 = x.
L(x,y,a(y,z,a(u,w,v5))) = x.
L(x,y,x * a(z,u,w)) = ((x * y) * a(z,u,w)) / (a(z,u,w) * y).
L(x * K(y,a(z,u,w)),y,a(z,u,w)) = L(x,y,x * a(z,u,w)).
L(x * 1,y,a(z,u,w)) = L(x,y,x * a(z,u,w)).
L(x,y,x * a(z,u,w)) = L(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) * (x \ v5) = a(x,y,a(z,u,w)) * v5.
L(x,y,a(z,u,w)) * (((x \ v5) * v6) * a(L(x,y,a(z,u,w)),x \ v5,v6)) = (a(x,y,a(z,u,w)) * v5) * v6.
L(x,y,a(z,u,w)) * (((x \ v5) * v6) * a(x,x \ v5,L(v6,y,a(z,u,w)))) = (a(x,y,a(z,u,w)) * v5) * v6.
L(x,y,a(z,u,w)) * (((x \ v5) * v6) * a(x,x \ v5,v6)) = (a(x,y,a(z,u,w)) * v5) * v6.
L(x,y,a(z,u,w)) * (x \ (v5 * v6)) = (a(x,y,a(z,u,w)) * v5) * v6.
(a(x,y,a(z,u,w)) * v5) * v6 = a(x,y,a(z,u,w)) * (v5 * v6).
a(a(x,y,a(z,u,w)),v5,v6) = 1.

end_of_list.
