% ********************************************************************
% AIM:  NS{l,r} + aa1 => aK1
%
% Extra assumptions:
%
%    (x * x) * (y * z) = ((x * x) * y) * z # label("NucSq_l").
%    (x * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r").
%    a(a(x,y,z),u,w) = 1   # label("aa1").
% ********************************************************************

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 (nuclear squares)
   (x * x) * (y * z) = ((x * x) * y) * z # label("NucSq_l").
   (x * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r").
   a(a(x,y,z),u,w) = 1   # label("aa1").

end_of_list.

formulas(goals).

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

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").

   % obvious compatibility
   a(x,y,z) = 1 -> L(z,y,x) = z.
   L(x,y,z) = x -> a(z,y,x) = 1.
   T(x,y) = x -> T(y,x) = y.
   T(x,y) = x -> K(x,y) = 1.
   K(x,y) = 1 -> T(x,y) = x.

   % 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(K(x,y),z,u) = 1.
(x * x) * (y * z) = ((x * x) * y) * z.
((x * x) * y) * z = (x * x) * (y * z).
(x * y) * (z * z) = x * (y * (z * z)).
a(a(x,y,z),u,w) = 1.
1 * x = x.
x * 1 = x.
x \ (x * y) = y.
x * (x \ y) = y.
(x * y) / y = x.
(x / y) * y = x.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
(x * y) \ (y * x) = K(y,x).
(x * y) \ (x * (y * z)) = L(z,y,x).
((x * y) * z) / (y * z) = R(x,y,z).
x \ (y * x) = T(y,x).
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
T(R(x,y,z),u) = R(T(x,u),y,z).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
x * y != z | x * u != z | y = u.
x * y != z | u * y != z | x = u.
x / y != z | x / u != z | y = u.
x / y != z | u / y != z | x = u.
x \ y != z | x \ u != z | y = u.
x \ y != z | u \ y != z | x = u.
T(x,y) != z | T(u,y) != z | x = u.
L(x,y,z) != u | L(w,y,z) != u | x = w.
R(x,y,z) != u | R(w,y,z) != u | x = w.
x * y != x * z | y = z.
x * y != z * y | x = z.
x / y != x / z | y = z.
x / y != z / y | x = z.
x \ y != x \ z | y = z.
x \ y != z \ y | x = z.
T(x,y) != T(z,y) | x = z.
L(x,y,z) != L(u,y,z) | x = u.
R(x,y,z) != R(u,y,z) | x = u.
a(x,y,z) != 1 | L(z,y,x) = z.
L(x,y,z) != x | a(z,y,x) = 1.
T(x,y) != x | T(y,x) = y.
T(x,y) != x | K(x,y) = 1.
K(x,y) != 1 | T(x,y) = x.
x != y | x * z = y * z.
x != y | z * x = z * y.
x != y | x / z = y / z.
x != y | x \ z = y \ z.
x != y | z \ x = z \ y.
x != y | y != z | x = z.
a(K(c1,c2),c3,c4) != 1.
1 \ x = x.
x \ x = 1.
x \ (x * (y \ (y * z))) = z.
(x * (x \ 1)) * y = y.
x * (y * (y \ 1)) = x.
x * (y * (y \ (x \ z))) = z.
x / x = 1.
x / 1 = x.
x * (((x \ y) * z) / z) = y.
x / (y \ x) = y.
(x / y) * (y * (z * z)) = x * (z * z).
((1 / x) * x) * y = y.
x * ((1 / y) * y) = x.
(x / y) \ x = y.
x \ (((x * y) / z) * z) = y.
(x \ (x * (y / z))) * z = y.
((x * (x \ y)) / z) * z = y.
(((x / y) / z) * z) * y = x.
((x * x) * (y * (z * u))) \ ((((x * x) * y) * z) * u) = a((x * x) * y,z,u).
(x * (y * z)) * a(x,y,z) = (x * y) * z.
(x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z).
x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z).
(x * y) * K(y,x) = y * x.
x \ ((y \ x) * y) = K(y \ x,y).
((x \ y) * x) \ y = K(x,x \ y).
x \ (y * (x / y)) = K(y,x / y).
(x * (y / x)) \ y = K(y / x,x).
(x * 1) \ (x * y) = L(y,1,x).
(x * y) * L(z,y,x) = x * (y * z).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
L(x \ y,x,z) = (z * x) \ (z * y).
L(x,y / x,z) = (z * (y / x)) \ (z * y).
((x * 1) * y) / y = R(x,1,y).
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
((x * y) * (y \ z)) / z = R(x,y,y \ z).
R(x,y,z) * (y * z) = (x * y) * z.
R(x / y,y,z) = (x * z) / (y * z).
((x * (y / z)) * z) / y = R(x,y / z,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).
1 * x != y | z != y | x = z.
x != y | x * z != y | 1 = z.
x != y | z * u != y | z \ x = u.
x != y | z * u != y | x / u = z.
x != y | (x * z) / u != y | z = u.
x != y | z / u != y | x * u = z.
x != y | z \ u != y | z * x = u.
x \ (x * (y * z)) != y * u | u = z.
x * y != z | x \ z = y.
x * 1 != y | y = x.
x * 1 != y | x = y.
x \ (x * (y * z)) != u * z | u = y.
x * (y \ z) != z | x = y.
x * y != z | z / y = x.
x / y != z | z * y = x.
x \ y != z | x * z = y.
x \ (y * z) != z | y = x.
T(T(x,y),z) != T(u,y) | T(x,z) = u.
L(x,y,a(z,u,w)) = x.
((x / y) * y) * z = x * z.
(x * (x \ y)) * z = y * z.
x * (y * (y \ z)) = x * z.
x * (y \ (y * z)) = x * z.
((x / y) * y) / z = x / z.
(x * (x \ y)) / z = y / z.
(1 * x) / y = x / y.
(x * (x \ y)) \ z = y \ z.
(x * y) / y = (x / z) * z.
(x / y) * y = z * (z \ x).
(x / y) * y = x * 1.
(x * y) / y = x * 1.
x \ (x * y) = z * (z \ y).
x * (x \ y) = y * 1.
1 \ (x * 1) = x.
(x * (x \ 1)) \ y = y.
((1 / x) * x) \ y = y.
1 \ x != y | y = x.
(x \ x) * y = y.
x * (y \ y) = x.
R(x,x \ 1,y) = y / ((x \ 1) * y).
x / (y * (y \ 1)) = x.
x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1).
L(x \ 1,x,y) = (y * x) \ y.
L(x \ (y \ z),x,y) = (y * x) \ z.
x * (y * (y \ T(z,x))) = z * x.
x / ((1 / y) * y) = x.
x / 1 != y | x = y.
(x * y) / y = z / (x \ z).
(x / (y \ x)) * z = y * z.
R(x,y,z) \ ((x * y) * z) = y * z.
(x * y) / K(x,y) = y * x.
(x * (y * z)) / L(z,y,x) = x * y.
(x * y) / T(x,y) = y.
x / y != z | z \ x = y.
x / (y / ((z \ x) \ y)) = z.
x * ((1 / x) * (1 / x)) = 1 / x.
R(1 / x,x,y) = y / (x * y).
(x * x) * (1 / x) = x.
x \ ((x * (1 / y)) * y) = a(x,1 / y,y).
L(x,1 / x,y) = (y * (1 / x)) \ y.
(x / y) \ x = y / 1.
(x / y) \ x = z * (z \ y).
x * ((y / z) \ y) = x * z.
((x / y) \ x) * z = y * z.
((x / (y / z)) \ x) \ y = z.
x != y | z \ u != y | u / x = z.
x \ y != z | y / z = x.
T((x * y) / x,x) = y.
(x * T(y,x)) / x = y.
((x * (x \ y)) / z) \ y = z.
R((x / y) / z,z,y) = x / (z * y).
((x * x) * (y * (z * u))) \ (((x * x) * (y * z)) * u) = a((x * x) * y,z,u).
(x * y) * a(x,z,z \ y) = (x * z) * (z \ y).
(x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x).
(x * y) / a(z,z \ x,y) = z * ((z \ x) * y).
x * (1 / x) = K(x,1 / x).
(x \ 1) * x = K(x \ 1,x).
x * K(y \ x,y) = (y \ x) * y.
x * K(y,x / y) = y * (x / y).
(x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x).
K(x,y) \ (x * y) = T(y * x,K(x,y)).
x \ (x * y) = L(y,1,x).
(1 / x) * (x * y) = L(y,x,1 / x).
x * ((x \ 1) * y) = L(y,x \ 1,x).
(x * y) * L(y \ 1,y,x) = x.
L(x,y,z * z) = x.
x \ ((x * y) * L(z,y,x)) = y * z.
x * L(y,z \ x,z) = z * ((z \ x) * y).
x * L(y,z,x / z) = (x / z) * (z * y).
(x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y).
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u).
(x * y) * T(L(z,y,x),u) = x * (y * T(z,u)).
(x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)).
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
(x * y) * z != x * (y * u) | L(u,y,x) = z.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L((x \ y) \ 1,x \ y,x) = y \ x.
L(x \ y,x,z / x) = z \ ((z / x) * y).
L(x \ y,x,z / y) = ((z / y) * x) \ z.
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x).
L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u).
L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)).
R((x * (y / z)) \ (x * y),u,w) = L(R(z,u,w),y / z,x).
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
(x * (1 / y)) * y = R(x,1 / y,y).
(x * y) * (y \ 1) = R(x,y,y \ 1).
R(x,y,z * z) = x.
(R(x,y,z) * (y * z)) / z = x * y.
R(x,y,y \ z) * z = (x * y) * (y \ z).
(R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)).
(((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u).
((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u).
T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z.
L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z.
R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z.
(x * y) * z != u * (y * z) | R(x,y,z) = u.
R(x / y,y,z) \ (x * z) = y * z.
R(x / y,y,x \ z) = z / (y * (x \ z)).
R(x / (y / z),y / z,z) = (x * z) / y.
T((x * y) / (z * y),u) = R(T(x / z,u),z,y).
R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)).
R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u).
R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u).
R(1 / (x / y),x / y,y) = y / x.
T(x,R(x,y,z)) = x.
T(x,L(x,y,z)) = x.
T(x,T(x,y)) = x.
T(L(x,y,z),x) = L(x,y,z).
(x * y) * T(R(z,x,y),x * y) = (z * x) * y.
(x \ y) * T(x,x \ y) = y.
x * (y * T(z,y)) = x * (z * y).
(x * T(y,x)) * z = (y * x) * z.
(x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
T(x,y) \ (x * y) = T(y,T(x,y)).
x * T(T(y,x),z) = T(y,z) * x.
x * L(T(y,x),z,u) = L(y,z,u) * x.
x * R(T(y,x),z,u) = R(y,z,u) * x.
x * y != z | y * u != z | T(x,y) = u.
x * y != z * x | T(z,x) = y.
x * T(y,x) != z * x | y = z.
x * T(y,x) != z * x | z = y.
(x * y) * L(z,T(x,y),y) = y * (T(x,y) * z).
L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
L(T(x,L(x,y,z) \ u),y,z) = (L(x,y,z) \ u) \ u.
x \ T(y,y \ z) = x \ ((y \ z) \ z).
x * T(y,y \ z) = x * ((y \ z) \ z).
x / T(y,y \ x) = y \ x.
T(x / (x / y),x / y) = y.
T(T(x / y,z),y) = T(y \ x,z).
T(L(x / y,z,u),y) = L(y \ x,z,u).
T(R(x / y,z,u),y) = R(y \ x,z,u).
T(x,1) = x.
x != y | z != y | x = z.
T(1,x) = 1.
R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y).
x \ L(y,x \ 1,x) = (x \ 1) * y.
R(1 / x,x,y) \ y = x * y.
(x * y) \ R(x,y,y \ 1) = y \ 1.
R(x,x \ 1,y) \ y = (x \ 1) * y.
x != y | z * u != y | T(z,u) = u \ x.
((x * y) * z) / L(z,y,R(x,y,z)) = R(x,y,z) * y.
x / L(y \ 1,y,x) = x * y.
R(x,y,y \ 1) / (y \ 1) = x * y.
((x / y) \ x) * (y \ z) = z.
(x / y) * ((z / y) \ z) = x.
x * T(L(y,z \ x,z),u) = z * ((z \ x) * T(y,u)).
x \ (x * y) != z * u | z \ y = u.
x * (y \ y) != z | x = z.
x \ (x * y) != z * u | y / u = z.
(a(x,y,z) * u) \ (a(x,y,z) * w) = u \ w.
(a(x,y,z) * u) * w = a(x,y,z) * (u * w).
L(x,y,a(z,u,w)) != v5 | v5 = x.
L(x,y,a(z,u,w)) != v5 | x = v5.
x \ (y * L(z,x \ y,x)) = (x \ y) * z.
x * (x \ (y * z)) = y * (u * (u \ z)).
(x * y) / y != z * u | x / u = z.
(x / y) * y != z * u | z \ x = u.
x * (x \ y) != z * u | y / u = z.
(x / y) * y != z | z = x.
(x * y) / y != z | z = x.
(x * y) / y != z | x = z.
x \ y != z * (z \ u) | x * u = y.
x * (x \ y) != z | y = z.
L((x \ 1) \ y,x \ 1,x) = x * y.
L(x \ y,x,1 / x) = (1 / x) * y.
R(x / y,y,y \ 1) = x * (y \ 1).
x * L(y \ 1,y,z) = x * ((z * y) \ z).
L(x \ 1,x,y) * z = ((y * x) \ y) * z.
L(x \ 1,x,1 / x) = 1 / x.
((x * y) \ x) * (L(y \ 1,y,x) \ z) = z.
L(x \ 1,x,y / x) = y \ (y / x).
T((x * y) \ x,z) = L(T(y \ 1,z),y,x).
L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z).
(a(x,y,z) * u) \ w = u \ (a(x,y,z) \ w).
x * ((a(y,z,u) * x) \ w) = a(y,z,u) \ w.
L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w).
L(x \ T(y * x,y),x,y) = y.
R(x / (1 / y),1 / y,y) = x * y.
R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z.
(x * (y * z)) / L(T(y,z),z,x) = x * z.
(x * y) / z != y | T(x,y) = z.
T(x,y * (y \ 1)) = x.
T(x,y) * x = x * T(x,y).
(x * y) * ((1 / y) * (1 / y)) = x * (1 / y).
x * R(1 / y,y,z) = x * (z / (y * z)).
R(1 / x,x,x \ y) = (x \ y) / y.
T(x / (y * x),z) = R(T(1 / y,z),y,x).
R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z).
(x * x) * ((1 / x) * y) = x * y.
(x / y) \ x != z | y = z.
(a(x,y,z) * u) / w = a(x,y,z) * (u / w).
(x * T(T(y,x),z)) / x = T(y,z).
T(T((x * y) / x,z),x) = T(y,z).
T(x,y) != z | (y * z) / y = x.
T((x * y) / x,y) = (x * y) / x.
((x * x) * (y * (z * u))) \ ((x * x) * ((y * z) * u)) = a((x * x) * y,z,u).
(x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)).
K(x,1 / x) \ 1 = K(1 / x,x).
x * T(x \ 1,x) = K(x \ 1,x).
R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y.
K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y).
K(x \ 1,x) \ 1 = K(x,x \ 1).
x / K(x \ 1,x) = R(x,x \ 1,x).
(x * y) * L(K(z \ y,z),y,x) = x * ((z \ y) * z).
L(K(x \ (y \ z),x),y \ z,y) = z \ (y * ((x \ (y \ z)) * x)).
L(x,1,y) = x.
L(T(x,y),y,1 / y) = (1 / y) * (x * y).
x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u).
x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u).
x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z).
L(x \ 1,x,x) = 1 / x.
x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u.
x \ (y * L(z,x \ y,x)) != (x \ y) * u | u = z.
R(a(x,y,z) * u,L(w,u,a(x,y,z)),v5) = ((a(x,y,z) * (u * w)) * v5) / (w * v5).
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
(x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)).
(x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)).
(x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)).
(x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
(x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y.
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(x \ y,x,y / x) = T(y / x,y).
L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)).
L(T(x,y),y,x) = T(x,x * y).
L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u).
L(L(x,y,z) \ x,L(x,y,z),z * y) = a(z,y,x).
R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y).
T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y).
L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y).
x \ R(x,1 / y,y) = a(x,1 / y,y).
T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y.
R(x,y,y \ 1) * L(z,y \ 1,x * y) = (x * y) * ((y \ 1) * z).
((x \ 1) * (y * x)) \ R(y,x,x \ 1) = K(y * x,x \ 1).
x \ R(x,y,y \ 1) = a(x,y,y \ 1).
L((x \ 1) \ 1,x \ 1,y * x) = R(y,x,x \ 1) \ (y * x).
R(x,y,1) = x.
L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z).
T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y).
T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x.
(T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y).
R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y.
(x * (y * z)) * K(z,y) != u * (z * y) | R(x,y * z,K(z,y)) = u.
R(x / y,y,x \ z) \ z = y * (x \ z).
R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u).
T((x * y) / (z * y),z) = R(z \ x,z,y).
T(((x * y) * z) / (x * z),x) = R(y,x,z).
R(T(1 / (x / y),z),x / y,y) = T(y / x,z).
T(x,R(T(x,y),z,u)) = x.
(x * y) * R(T(z,x * y),x,y) = (z * x) * y.
(x \ y) * z != y | T(x,x \ y) = z.
(x * R(T(y,x),z,u)) * w = (R(y,z,u) * x) * w.
x * T(x \ (y * x),z) = T(y,z) * x.
x * T(T(y,x),z) != u * x | T(y,z) = u.
(x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y).
T(x / y,z) * y = y * T(y \ x,z).
T((x * y) / x,z) * x = x * T(y,z).
x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y.
(x / y) \ (L(z,y,x / y) * x) = y * T(z,x).
x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z).
x * L(x \ (y * x),z,u) = L(y,z,u) * x.
(x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y).
L(x / y,z,u) * y = y * L(y \ x,z,u).
L((x * y) / x,z,u) * x = x * L(y,z,u).
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
x * R(T(y,x),z,z \ x) = (y * z) * (z \ x).
(x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ 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).
T(L(x,y,x),y) = T(x,x * y).
T(R(x,y,T(x,y)),x * y) = T(x,y).
(a(x,y,z) \ 1) * (u * a(x,y,z)) = T(u,a(x,y,z)).
R(x,y,z) * (y * z) != z * u | T(x * y,z) = u.
K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z.
L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w).
L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w).
L(x \ T(x,y),x,y) = K(x,y).
x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u.
(T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)).
T(x / (x / y),(z / (x / y)) \ z) = y.
T(T(x / y,z),y) = u \ (u * T(y \ x,z)).
(x * T(x \ y,z)) / x = T(y / x,z).
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
T(L(R(x / y,y,z),u,w),y * z) = L((y * z) \ (x * z),u,w).
(x * R(x \ y,z,u)) / x = R(y / x,z,u).
T(x / (y * x),y) = R(y \ 1,y,x).
L(x,1,y) != z | z = x.
R(x,y,1) != z | z = x.
T(x / y,(z / y) \ z) = y \ x.
x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z).
x * (x \ y) != z * u | z \ y = u.
x \ (x * y) != z | y = z.
((1 / x) * x) * y != z * u | y / u = z.
T(a(x,y,z) * u,a(x,y,z)) = u * a(x,y,z).
R(a(x,y,z),u,w) = a(x,y,z).
(a(x,y,z) * (u * (w * v5))) \ (((a(x,y,z) * u) * w) * v5) = a(a(x,y,z) * u,w,v5).
(a(x,y,z) * (u * w)) \ ((a(x,y,z) * u) * (w * v5)) = L(v5,w,a(x,y,z) * u).
(a(x,y,z) * u) \ ((a(x,y,z) * w) * v5) = u \ (w * v5).
(a(x,y,z) * u) \ w != v5 | u \ (a(x,y,z) \ w) = v5.
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
x * (y * (y \ z)) != u | x * z = u.
(x / y) * y != z * u | x / u = z.
(x * y) / y != z * u | z \ x = u.
x * (y * (y \ 1)) != z * u | z \ x = u.
x * T(y,x) != z * u | (y * x) / u = z.
R(x,y,z) * (y * z) != u | (x * y) * z = u.
((x / y) * y) * z != u | x * z = u.
(x / (y \ x)) * z != u | y * z = u.
(x * y) * L(z,y,x) != u | x * (y * z) = u.
x * T(y,x) != z | y * x = z.
x / (y \ x) != z | z = y.
((x * y) * z) / (y * z) != u | R(x,y,z) = u.
(x * T(y,x)) / x != z | z = y.
(x * (x \ y)) / z != u | y / z = u.
x \ y != z * T(u,z) | x * (u * z) = y.
x * T(T(y,x),z) != u | T(y,z) * x = u.
L(T(x \ 1,y),x,1 / x) = T(1 / x,y).
L(x \ 1,x,y) != z | (y * x) \ y = z.
T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y).
(x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)).
L(x,y,z) != z | y \ T(z * y,z) = x.
R((1 / x) \ y,1 / x,x) = T(y * x,1 / x).
x \ (x * y) != z | z = y.
R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)).
((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z.
T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y).
T((x \ y) / y,x) = R(x \ 1,x,x \ y).
R(x / (y * x),z,u) != R(w,y,x) | R(1 / y,z,u) = w.
(x * x) \ (x * y) = (1 / x) * y.
(x * y) \ (y * x) != z | K(y,x) = z.
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
x \ (y * x) != z | T(y,x) = z.
(x * y) \ x != z | L(y \ 1,y,x) = z.
(x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u.
(x * T(y,z)) / x = T((x * y) / x,z).
T(x,(y * x) / y) = x.
K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y.
K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)).
(1 / x) \ T(L(y,x,1 / x),x) = y * x.
(x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u).
(x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
R(a(x,y,z) * u,L(w,u,a(x,y,z)),v5) = (a(x,y,z) * ((u * w) * v5)) / (w * v5).
(x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
(x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u.
x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u).
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(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u).
(x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)).
(x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)).
x * T(y,y * x) = L(y,x,y) * x.
(x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y).
L(x,y,y) \ x = a(y,y,x).
R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w.
R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y.
T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y.
L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x).
L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y).
T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z.
(T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y.
T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x).
T((x * y) \ ((x * z) * y),x) = T(R(z,x,y),x * y).
T(R(x,y,x),y * x) = T(x,y).
((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y).
x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u.
(x / y) * T(y,z) != u * (x / y) | T(x / (x / y),z) = u.
(T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u).
(x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y.
T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)).
R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z).
(x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x).
(x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y).
(x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y).
L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x).
(x * L(y,z,u)) / x = L((x * y) / x,z,u).
L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y).
R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)).
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
(x / (y * x)) * y = y * R(y \ 1,y,x).
(x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y).
(x * R(y,z,u)) / x = R((x * y) / x,z,u).
(x * T(y,y * x)) / x = L(y,x,y).
T((x * y) / x,y * x) = L(y,x,y).
T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z).
(x * y) * z != z * u | T(x * y,z) = u.
(x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)).
T(x / y,z) * y != u | y * T(y \ x,z) = u.
L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z.
L(T(x,y) / x,x,y) = (x * K(x,y)) / x.
T(R(L(x / y,z,u),y,w),y * w) = L((y * w) \ (x * w),z,u).
(x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)).
x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x).
x * (y * (y \ (x \ z))) != u * w | u \ z = w.
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
T((x * y) / x,x) != z | y = z.
x \ (y * 1) != z | x \ y = z.
x \ (y * (x / y)) != z | K(y,x / y) = z.
x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u.
T(T(x / y,z),y) != u | T(y \ x,z) = u.
R(a(x,y,z),u,w) = (a(x,y,z) * v5) / v5.
((a(x,y,z) * R(u,w,v5)) * (w * v5)) / ((u * w) * v5) = a(x,y,z).
(a(x,y,z) * (u * (w * v5))) \ ((a(x,y,z) * (u * w)) * v5) = a(a(x,y,z) * u,w,v5).
(a(x,y,z) * (u * w)) \ (a(x,y,z) * (u * (w * v5))) = L(v5,w,a(x,y,z) * u).
(x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y.
x * (y \ (y * z)) != u * w | u \ (x * z) = w.
x * (y * 1) != z | x * y = z.
x * (y \ (y * z)) != u | x * z = u.
x * ((y / z) \ y) != u | x * z = u.
((x / y) * y) * z != u * w | (x * z) / w = u.
(x * (x \ y)) * z != u | y * z = u.
(x * T(y,x)) * z != u | (y * x) * z = u.
(x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w.
(x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5.
(a(x,y,z) * u) * w != v5 | a(x,y,z) * (u * w) = v5.
(x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w.
(x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u.
(x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w.
(x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5.
x * L(T(y,x),z,u) != w | L(y,z,u) * x = w.
x * R(T(y,x),z,u) != w | R(y,z,u) * x = w.
x / (y * x) != z | R(1 / y,y,x) = z.
x / (y * z) != u | R((x / z) / y,y,z) = u.
T(x / y,y) != z | y \ x = z.
((x / y) * y) / z != u | x / z = u.
x * T(x \ (y * x),z) != u | T(y,z) * x = u.
(x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u.
L(T(x \ 1,x),x,1 / x) = x \ 1.
(x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y).
T(L(x,x \ 1,x),x \ 1) = x.
x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u).
T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y).
T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y).
T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y).
T((x * y) / (y * x),y * x) != z | K(x,y) = z.
(x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w.
T(T(x,y),z) != u | T(T(x,z),y) = u.
x * ((y * T(z,x)) / y) = ((y * z) / y) * x.
T((x * (y / z)) / x,z) = (x * (z \ y)) / x.
T((x * y) / x,z) * x != u | x * T(y,z) = u.
K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y.
K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)).
(1 / x) \ T((1 / x) * y,x) = (x \ y) * x.
(x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z).
(x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z).
x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1).
(x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y).
(x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z).
R(a(x,y,z) * u,L(w,u,a(x,y,z)),v5) = a(x,y,z) * (((u * w) * v5) / (w * v5)).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u).
(x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)).
(x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)).
L(T(R(x,y,z),u),u,x) = R(T(x,x * u),y,z).
x * (y * T(T(x,y),z)) = T(x,z) * (x * y).
x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y).
L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y).
x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y).
R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w.
(1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x.
T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z).
(1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x.
(1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z).
T(1 / (1 / x),y) * (1 / x) = T(x,y) / x.
L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x.
(L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z).
(x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y.
(T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u).
R(x,1 / x,x) = T(x,1 / x).
T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y).
R(T(x,y * x),y,x) = T(x,y).
(x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y.
(x * T(x \ (y / z),u)) * z = (x * z) * T((x * z) \ y,u).
(x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y.
(T((x * y) / x,z) * x) * y = (x * y) * T(y,z).
K(x \ (x / y),x) = y * T(y \ 1,x).
(x \ y) * T((x \ y) \ 1,y) = K(y \ x,y).
L(1 / (x \ (x / y)),x \ (x / y),x) = ((x \ (x / y)) * y) / (x \ (x / y)).
L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x.
L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x.
L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w.
L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x.
L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u.
(x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x).
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
(x * y) * R((x * y) \ ((x * z) * y),u,w) = (x * R(z,u,w)) * y.
((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u.
R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x.
R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x.
((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w.
((x \ (y / z)) * x) * z != u | (x * z) * T((x * z) \ y,x) = u.
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
a(a(x,y,z) * u,w,v5) = (u * (w * v5)) \ ((u * w) * v5).
L(L(x,y,z),z * y,a(u,w,v5)) = L(x,y,a(u,w,v5) * z).
(x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w.
(x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5.
T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z.
T(x,x \ y) != z | (x \ y) \ y = z.
R((x / y) / z,z,y) != u | x / (z * y) = u.
T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w.
T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u.
(x / y) * K(y \ 1,y) = x * T(x \ (x / y),y).
(1 / x) * ((x \ 1) * x) = x \ 1.
((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x.
(T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y).
((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x).
(1 / x) * ((x \ y) * x) = T((1 / x) * y,x).
(x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x).
R(a(x,y,z) * u,L(w,u,a(x,y,z)),v5) = a(x,y,z) * R(u,w,v5).
(x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u.
T(x,y) * (x \ 1) = x \ T(x,y).
(x \ T(x,y)) / (x \ 1) = T(x,y).
x \ T(x,y) != z | T(x,y) * (x \ 1) = z.
R(x,y,z) * (x \ 1) = x \ R(x,y,z).
T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)).
T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x).
x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x.
T(x,y) * (x * z) = x * (T(x,y) * z).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
(1 / x) * T((1 / x) \ 1,y) = T(x,y) / x.
(1 / x) * T(x,y) = T(x,y) / x.
(1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u.
T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z.
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)).
((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)).
x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y.
((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u).
(x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y).
((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x).
T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u.
L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x).
R(T(x,(x \ y) * x),x \ y,x) = (x \ y) \ y.
R(T(x,y),y / x,x) = T(x,y / x).
R(x,y,z) != T(z,y) | T(z,y * z) = x.
(x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y.
(x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)).
(x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u.
x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y.
T(x,x * T(x \ 1,y)) = x.
(x * T(y,z)) * y = (x * y) * T(y,z).
K(x \ (x / (y \ 1)),x) = y \ T(y,x).
K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)).
x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z).
K(x \ (x / y),x) / y = T(1 / y,x).
((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x).
(x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w.
x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z).
L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5.
(x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z).
(x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y.
(x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z).
(x * R(y,z,u)) * y = (x * y) * R(y,z,u).
((x * ((y * z) / (u * z))) / x) * (u * z) = (((x * (y / u)) / x) * u) * z.
((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y.
(((x * ((y / z) / u)) / x) * u) * z = ((x * (y / (u * z))) / x) * (u * z).
((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z.
(x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y.
(L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u).
(L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w).
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
a(a(x,y,z) * u,w,v5) = a(u,w,v5).
(1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1.
(1 / x) * K(x \ 1,x) = x \ 1.
(x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y).
K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x).
T(x,y) / x != z | (1 / x) * T(x,y) = z.
T(x,x * R(x \ 1,y,z)) = x.
T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y).
T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z).
(x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x).
((x / R(y,z,u)) * y) * R(y,z,u) = x * y.
(x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y.
(1 / x) * R(x,y,z) = R(x,y,z) / x.
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y.
((x * ((y * z) / (u * z))) / x) * (u * z) = (u * ((x * (u \ y)) / x)) * z.
((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z).
(x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y.
((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z).
(((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x).
a(a(x,y,z) \ u,w,v5) = a(u,w,v5).
T(x / y,(y / x) * (x / y)) = x / y.
(x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w.
T(R(x,y,R(x,z,u)),y * R(x,z,u)) = T(x,y).
R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u.
((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u).
T(x / (y * x),y * (x / (y * x))) = x / (y * x).
(x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u).
R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u.
T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y).
(x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w).
(x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y.
((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z).
T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y).
R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y).
(x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y.
(x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x).
x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y.
x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y.
R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w.
T(x,y) * (x \ (T(x,y) \ z)) = x \ z.
x * (T(x,y) * (x \ z)) = T(x,y) * z.
T(x,y) * (x * (T(x,y) \ z)) = x * z.
x * (T(x,y) \ 1) = T(x,y) \ x.
x * (T(x,y) * T(z,x)) = T(x,y) * (z * x).
(x / y) * (T(x / y,z) * y) = T(x / y,z) * x.
(x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z).
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x).
R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u.
x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u.
R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u.
(x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u).
R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u).
x * (R(x,y,z) \ 1) = R(x,y,z) \ x.
x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x).
(R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)).
(R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x.
(1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x.
x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x).
x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x).
x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u).
T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u).
T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y).
T(x,y) * (x \ 1) != z | x \ T(x,y) = z.
T(x,y) \ (x \ z) = x \ (T(x,y) \ z).
x \ (T(x,y) \ x) = T(x,y) \ 1.
T(x,y) * z != x * u | T(x,y) * (x \ z) = u.
x * (T(x,y) \ y) = T(y,T(x,y)).
x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x).
T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u.
L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x).
T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x).
(x / y) * (y * T(y \ x,z)) = T(x / y,z) * x.
(x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z).
(x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z).
((x \ R(x,y,z)) * u) / ((x \ 1) * u) = R(R(x,y,z),x \ 1,u).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1).
T(x,(x \ 1) * x) = x.
T(x \ 1,T(x,y) * (x \ 1)) = x \ 1.
T(x \ 1,x \ T(x,y)) = x \ 1.
R(x,y,x) * T(y,x) = T(x * y,x).
(1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z).
(x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z).
T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y).
(1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y).
R(x,y,x) \ T(x * y,x) = T(y,x).
((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y).
T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z.
R(x,y / z,z) != T(z,y / z) | T(z,y) = x.
x * (y * T(y \ (x \ y),x)) = ((x \ 1) * x) * y.
((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z).
x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x.
(x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z.
(x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u.
(1 / (1 / x)) * (x * (1 / x)) = x.
K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1).
x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u.
T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x).
T(x,y) \ x != z | x * (T(x,y) \ 1) = z.
(x / y) \ (T(x / y,z) * x) != u * w | (y * T(y \ x,z)) / w = u.
(x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y).
(x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z).
((x * y) / x) * (y * z) = y * (((x * y) / x) * z).
x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y.
x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x.
(x \ T(y,x)) * x = T((x \ y) * x,x).
(1 / (1 / x)) * K(x,1 / x) = x.
((x \ 1) * x) * x = x * ((x \ 1) * x).
T((x \ y) * x,x) / x = x \ T(y,x).
x * (T((x \ y) * x,x) / x) = T(y,x).
R(x,x \ 1,x) = (x \ 1) \ 1.
R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)).
T(x \ T(x,y),x \ 1) = x \ T(x,y).
(x * y) / T(y,z) = (x / T(y,z)) * y.
((x / T(y,z)) * y) * T(y,z) = x * y.
(1 / T(x,y)) * x = x / T(x,y).
((x / y) * T(y,z)) * y = x * T(y,z).
(x * T(y,z)) \ ((x * y) * T(y,z)) = y.
(x * (y * x)) / x = y * T(x,y * x).
((x / T(y,z)) / y) * T(y,z) = x / y.
(x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z).
((x \ 1) * x) * x = L(x,x \ 1,x).
x \ T(x * (y / x),x) = T(y,x) / x.
(x \ T(y,x)) * x != z | T((x \ y) * x,x) = z.
x * (T(y * x,x) / x) = T(x * y,x).
x * (T(y,x) / x) = T(x * (y / x),x).
x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x.
x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x.
x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x).
T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x).
T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z).
T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z).
((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y).
T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x).
(x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y.
(x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u.
(x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y.
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y.
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u.
(x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)).
(x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u.
((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z).
(R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z.
(x * y) / y = R(x,1,y).
R(x,1,y) = x.
((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z).
(R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z.
(x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y).
R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z).
(x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y.
(1 / T(x,y)) \ (x / T(x,y)) = x.
T((x / y) * T(y,x),y) = x.
(x / y) * T(y,x) = (y * x) / y.
R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y).
(T(x,y) / x) / T(x,y) = 1 / x.
T(x,x \ y) / x = (1 / x) * ((x \ y) \ y).
T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z.
T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x).
(x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z).
(x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z.
T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)).
T(x * T(x \ y,y),x \ y) = y.
T(x * T(T(y,x),y * x),T(y,x)) = y * x.
T(a(x,y,z),u / a(x,y,z)) = T(a(x,y,z),u).
(T(x,y) / y) \ x = T(y,T(x,y)).
(L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y).
(x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z).
(1 / (x / y)) * (y \ x) = (y \ x) / (x / y).
(x * (1 / x)) * (x \ 1) = 1 / x.
(x * ((y * z) / y)) * z = (x * z) * ((y * z) / y).
x / K(x \ 1,x) = (x \ 1) \ 1.
((x \ 1) \ 1) * K(x \ 1,x) = x.
T(T(x,x * y) * y,T(x,y)) = x * y.
(L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)).
T(1 / x,T(x,y) / x) = 1 / x.
((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u.
(x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z.
(x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y.
(1 / x) * ((y * x) / y) = ((y * x) / y) / x.
T(T(x / y,(x / y) * y) * y,T(x / y,y)) = x.
T(x,x * (y * T(y \ 1,x))) = x.
T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x.
(x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u.
(1 / x) * ((y * ((z / x) \ z)) / y) = ((y * x) / y) / x.
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))).
((x \ 1) \ 1) \ x = K(x \ 1,x).
(T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x).
K(x \ (x * y),x) = K(y,x).
K(x \ (x * y),z) = K(y,z).
K(L(x \ 1,x,y),z) = K((y * x) \ y,z).
K(L(x \ 1,x,y / x),z) = K(y \ (y / x),z).
x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y.
K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y).
(K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)).
L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z.
((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x.
(x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y.
K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y).
K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z.
K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x.
R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x).
T(x * (y / (x * y)),x) = x * R(1 / x,x,y).
R(1 / x,x,y / (x * y)) = x \ 1.
R(1 / x,x,1 / x) = x \ 1.
R(x / (y * x),y,1 / y) = R(y \ 1,y,x).
R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x).
T(x * (y / (x * y)),x) = x * (y / (x * y)).
T(x,x * (y / (x * y))) = x.
T(x / y,(x / y) * (y / x)) = x / y.
T(x \ y,(y / x) * (x / y)) = T(y / x,x).
T(x \ y,(y / x) * (x / y)) = x \ y.
T((x * y) \ (y * x),y \ 1) = K(y,x).
T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y).
(T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x).
x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y.
x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x).
x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z).
x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w.
(x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y.
x * (y * T(y \ (x \ z),x)) != u | ((x \ (z / y)) * x) * y = u.
((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)).
((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)).
x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x).
(x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z).
x * (y \ T(y * (x \ z),x)) != u | ((x \ (z / (y \ 1))) * x) * (y \ 1) = u.
((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)).
x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z).
T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x).
((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y).
(x \ 1) * ((x \ ((x \ 1) \ y)) * x) = T(y,x).
(R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1).
x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z).
x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z).
T(x * T(y,z),x) / x = T(T(x * y,x) / x,z).
(x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x).
((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1).
(T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y).
T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1).
x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y).
(x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u.
(x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w.
(x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x).
(x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z).
(x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y.
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
(x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w).
x * (y * L(y \ (x \ (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)).
T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y).
x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x).
x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y.
T(x,x * L(x \ 1,y,z)) = x.
T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y).
(x * y) / L(y,z,u) = (x / L(y,z,u)) * y.
((x * y) * L(y,z,u)) / y = x * L(y,z,u).
(x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y.
(1 / x) * L(x,y,z) = L(x,y,z) / x.
((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y.
((x * y) * z) * L(z,y,x) = (x * (y * z)) * z.
T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w).
K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x.
(x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)).
x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x).
T(x \ y,(x \ y) * (y \ x)) = x \ y.
T(x,x * (y \ (y / x))) = x.
(L(x \ 1,y,z) * x) / L(x \ 1,y,z) = L(x,L(x \ 1,y,z),x).
T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u).
T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z).
T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y).
R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y).
(L(x,y,z) / x) / L(x,y,z) = 1 / x.
K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x.
x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u).
L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y).
((x \ (x / y)) * y) / (x \ (x / y)) = L(y,x \ (x / y),y).
T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x).
T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)).
T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y).
(x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z).
(x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)).
(x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)).
x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y.
x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y.
(x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)).
T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y).
(x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x).
(x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u).
(1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x).
(x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)).
(x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)).
(x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)).
T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y).
K(x,(x / y) / x) = y * ((x * (y \ 1)) / x).
(((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y).
(x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)).
((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)).
(x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x.
(x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)).
T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x).
L(1 / (x \ (x / y)),x \ (x / y),x) = L(y,x \ (x / y),y).
x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u.
((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1).
((x * y) / x) * (y \ 1) = y \ ((x * y) / x).
x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z).
((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z).
x * (((y * x) / y) \ 1) = ((y * x) / y) \ x.
(((x * y) * x) / (x * y)) * y = T(x * y,x).
R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y).
(x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))).
((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y).
T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y).
((1 / x) * ((x * y) \ (y * x))) / (1 / x) = K(y,x).
((1 / x) * K(y,x)) / (1 / x) = K(y,x).
T(1 / x,K(y,x)) = 1 / x.
K(x,y) * (1 / y) = (1 / y) * K(x,y).
(x \ 1) / (1 / x) = K(x \ 1,x).
x / (1 / (1 / x)) = K(x,1 / x).
K(x \ 1,x) * (1 / x) = x \ 1.
T(x \ 1,K(y,x)) = T(1 / x,x).
(x \ 1) / (1 / x) = (x \ 1) * x.
x / (1 / (1 / x)) = x * (1 / x).
(x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y).
T(x \ 1,K(y,x)) = x \ 1.
T(1 / (1 / x),x \ 1) = x.
(1 / (1 / x)) * (x \ 1) = (x \ 1) * x.
L(x \ 1,x,x \ 1) = 1 / x.
x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x).
x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y.
L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y.
L(x,x \ 1,x) = 1 / (1 / x).
T(T(1 / (1 / x),y),x \ 1) = T(x,y).
T(x,x \ 1) / x = x * (1 / x).
T(x,1 / x) = T(x,x \ 1).
T(x,1 / x) = (x \ 1) \ 1.
x * ((x * (1 / x)) * (x \ y)) = (x * (1 / x)) * y.
L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z).
T(1 / x,1 / (1 / x)) = x \ 1.
(x * T(y,y \ 1)) / x = T((x * y) / x,1 / y).
R(x,1 / x,x) = (x \ 1) \ 1.
L(1 / x,y,z) * (1 / (1 / x)) = (1 / (1 / x)) * L(x \ 1,y,z).
L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x).
T((x * y) / x,1 / y) = T((x * y) / x,y \ 1).
(1 / (1 / x)) * L(x \ 1,y,z) = L(x \ 1,y,z) / (1 / x).
T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)).
L((x \ y) \ 1,x \ y,x) / (1 / (x \ y)) = (1 / (1 / (x \ y))) * (y \ x).
(1 / (1 / (x \ y))) * (y \ x) = (y \ x) / (1 / (x \ y)).
(x / (x / y)) * (y \ 1) = y \ (x / (x / y)).
(x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y).
x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1).
((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x).
((x * y) * x) / (x * y) = T(x * y,x) / y.
x \ (1 / (1 / x)) = (x \ 1) * x.
T(T(x * y,x) / y,x * y) = x.
T(T(x,x / y) / y,(x / y) * y) = x / y.
x \ (1 / (1 / x)) = K(x \ 1,x).
x * K(x \ 1,x) = 1 / (1 / x).
(1 / (1 / x)) / x = (x \ 1) * x.
K(x \ 1,x) * x = 1 / (1 / x).
T(T(x,x / y) / y,x) = x / y.
T(T(x,x / (y \ x)) / (y \ x),x) = y.
T(x \ T(y,y / x),y) = T(y / x,x).
T(T(x,y) / (y \ x),x) = y.
T(x \ T(y,y / x),y) = x \ y.
T(x,y) / (y \ x) = (x * y) / x.
T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y.
x \ T(y,y / x) = (y * (x \ y)) / y.
((x * y) / x) \ T(x,y) = y \ x.
T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y.
x * ((y * (x \ y)) / y) = T(y,y / x).
(x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)).
x * ((y * (x \ y)) / y) != z | T(y,y / x) = z.
((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)).
((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)).
T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z).
x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)).
(x * ((x / y) / x)) * y = T(x,x / (x * y)).
x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x).
(x / y) * ((x * y) / x) = T(x,x / (x / y)).
T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z.
x * (y * ((x \ y) / y)) = T(y,y / (x * y)).
T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z.
((x * (x / y)) / x) * y != z | T(x,x / y) = z.
T(x,x / (x / T(y,x))) = (x / T(y,x)) * y.
((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y.
T((x * y) \ x,K(z,y)) = L(y \ 1,y,x).
a(x,1 / x,x) = x \ ((x \ 1) \ 1).
((x * (x * y)) / x) / y = T(x,x / (1 / y)).
T(x,x / (x / T(y,x))) * T(y,x) = x * y.
T(x,x / (x / y)) * y = x * ((x * y) / x).
T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y).
T(x,x / (x / T(y,x))) * (y * x) = x * (x * y).
T(x,x / (x / y)) * (x \ y) = (x * y) / x.
T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x).
((x * y) / x) / (x \ y) = T(x,x / (x / y)).
(x * (x * y)) / (y * x) = (x / T(y,x)) * y.
T(x,x / (1 / (x \ y))) = T(x,x / (x / y)).
T(x,x / (x / (x * y))) = T(x,x / (1 / y)).
R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y.
R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y.
(((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)).
(((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)).
T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)).
(x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)).
(x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)).
T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,x * (y \ 1)) = T(x,y \ x).
(T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)).
T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x.
T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z.
(T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))).
(T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))).
K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x).
R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y).
x * K(x,(x / y) / x) = T(x,x / (x * y)).
(x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y).
x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x).
x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y).
x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),1 / (x \ 1)).
x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x).
x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y).
x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),x).
(x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z).
x \ L(x,L(x \ 1,y,z),x) = K(L(x \ 1,y,z),x).
T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y).
T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y).
T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x).
K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z).
T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)).
T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y).
T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y).
x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u).
L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y).
x \ L(x,(y * x) \ y,x) = K(L(x \ 1,x,y),x).
T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y).
T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y).
T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y).
x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u).
x \ (y * L(y \ x,x \ y,y \ x)) != (x \ y) * z | 1 / (x \ y) = z.
(1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x.
T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x).
(1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x).
(1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1.
L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y).
((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x).
(x \ y) / (1 / (y \ x)) = (x \ y) * (y \ x).
(((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)).
(((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y.
L(x \ 1,x,(y * x) \ y) = 1 / x.
(((x * y) \ x) * y) * (1 / y) = (x * y) \ x.
L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x).
(x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y).
L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x.
K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z.
K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u).
K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y.
K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)).
T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z).
(x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z).
(x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u).
K((x * y) \ x,x * y) / y = T(1 / y,x * y).
(1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y).
T(1 / (1 / (x \ y)),y \ x) = x \ y.
L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)).
L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)).
T(1 / (1 / x),(y * x) \ y) = y \ (y * x).
T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x).
L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)).
L(x,y \ (y / x),x) = 1 / (1 / ((y / x) \ y)).
T(1 / (1 / x),(y * x) \ y) = x.
L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)).
L(x,y \ (y / x),x) = 1 / (1 / x).
T(x,(y * x) \ y) = T(x,x \ 1).
L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)).
L(x,(y * x) \ y,x) = 1 / (1 / x).
T(x,(y * x) \ y) = (x \ 1) \ 1.
T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1).
T(x \ y,y \ x) = ((x \ y) \ 1) \ 1.
T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)).
T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1.
T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1.
T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1.
K(L(x \ 1,x,y),x) = x \ (1 / (1 / x)).
K(L(x \ 1,x,y),x) = K(x \ 1,x).
K(x \ (x / y),y) = K(y \ 1,y).
K((x * y) \ x,y) = K(y \ 1,y).
K((x \ y) \ 1,x \ y) = K(y \ x,x \ y).
K(1 / x,x) = K(x \ 1,x).
K(x \ (x / y),y) = (y \ 1) * y.
K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x).
K((x \ 1) \ 1,x \ 1) = K(x,x \ 1).
(x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x).
x \ ((x \ 1) \ 1) = K(x,x \ 1).
x * K(x,x \ 1) = (x \ 1) \ 1.
T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z.
K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z).
(x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y.
(x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)).
T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y).
(x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y).
(x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))).
K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x.
K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u).
T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y).
T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z).
K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y).
L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y).
(x \ 1) / (x \ T(x,y)) = T(x,y) \ 1.
T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y).
T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1).
T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y).
T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1.
T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y).
(x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1.
K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x.
K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u).
K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1.
R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y).
T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y).
R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z).
K(1 / (x / y),(y / x) * (x / y)) = 1.
K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1.
K(1 / x,(y / (x * y)) * x) = 1.
T(1 / x,(y / (x * y)) * x) = 1 / x.
L(x \ 1,x,y / (x * y)) = 1 / x.
((x / (y * x)) * y) * (1 / y) = x / (y * x).
L(x \ 1,x,R(1 / x,x,y)) = 1 / x.
R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x.
T(1 / (1 / x),R(1 / x,x,y)) = x.
T(1 / (1 / x),y / (x * y)) = x.
T(x,y / (x * y)) = T(x,x \ 1).
T(x,y / (x * y)) = (x \ 1) \ 1.
K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x.
T(x / y,y / x) = ((x / y) \ 1) \ 1.
T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y).
T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y).
a(x,y,z) * R(u,w,v5) = R(a(x,y,z) * u,w,v5).
T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u).
T(x * L(y,z,u),x) / x = L(T(x * y,x) / x,z,u).
L(x,y,a(z,u,w) * v5) = L(x,y,v5).
L(x,y,a(z,u,w) \ v5) = L(x,y,v5).
T(x \ y,K(z,y \ x)) = x \ y.
K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z).
T(x,1 / T(x,y)) = T(x,T(x,y) \ 1).
T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)).
x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u).
x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u).
T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y).
T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u).
T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y).
T(x,x * K(y,x)) = x.
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y).
(x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))).
T(x * K(y,x),x) = x * K(y,x).
L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y.
(x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x).
(x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x).
L(K(x,y),y,1 / y) = (y * K(x,y)) / y.
(x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1).
(x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x).
((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x.
T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x.
x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))).
T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x.
(x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x).
((x \ y) * x) * (1 / x) = T(y * (1 / x),x).
T((x * y) * (1 / x),x) = (y * x) * (1 / x).
T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z.
R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1).
(x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y).
R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1).
x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x.
T(K(x,y),x \ 1) = K(x,y).
T(x \ 1,K(x,y)) = x \ 1.
K(x,y) * (x \ 1) = (x \ 1) * K(x,y).
x * T(x \ 1,K(x,y)) != z * u | 1 / u = z.
K(x \ 1,x) * ((x \ 1) \ 1) = x.
T(1 / x,K(x,y)) = 1 / x.
T(x / y,K(y / x,z)) = R(1 / (y / x),y / x,x).
T(x / y,K(y / x,z)) = x / y.
T(x \ y,K(x / y,z)) = T(y / x,x).
T(x \ y,K(x / y,z)) = x \ y.
T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x).
T(K(x,y / x),K(y / x,z)) = K(x,y / x).
T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x).
T(K(x,y),K(y,z)) = K(x,(y * x) / x).
T(K(x,y),K(y,z)) = K(x,y).
(K(x,y) \ 1) \ 1 = K(x,y).
T(K(x,y),K(z,x)) = K(x,y).
K(x,y) * K(z,x) = K(z,x) * K(x,y).
x \ y != K(z,u) * K(w,z) | x * (K(w,z) * K(z,u)) = y.
K(x,x \ 1) \ 1 = K(x \ 1,x).
1 / (1 / K(x,y)) = K(x,y).
K(x,x \ 1) \ 1 = K(1 / x,x).
K(x,1 / x) = K(x,x \ 1).
x * (1 / x) = K(x,x \ 1).
T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1).
R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1).
K(x,x \ 1) * x = T(x,x \ 1).
K(x,x \ 1) * (1 / (1 / x)) = x.
K(x,x \ 1) * (x \ 1) = 1 / x.
T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y).
x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y.
T(K(T(x,y),1 / x),y) = K(T(x,y),T(x,y) \ 1).
R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1).
K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x).
R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u).
K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u.
x \ y != K(z,u) * K(u,w) | x * (K(u,w) * K(z,u)) = y.
T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x).
x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y.
T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1).
K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y).
(T(x,y) / x) \ (1 / x) = 1 / T(x,y).
(T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y).
(x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y).
1 / T(T(x,x \ 1),y) = T(x,y) \ 1.
T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1.
T(1 / (1 / x),y) \ 1 = 1 / T(x,y).
(T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y).
1 / (1 / T(x,y)) = T(1 / (1 / x),y).
x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x.
T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1.
T(x,T(x,y) \ 1) = (x \ 1) \ 1.
(((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1).
T(T(x / y,y / x),y) = ((y \ x) \ 1) \ 1.
T(x \ y,x / y) = ((x \ y) \ 1) \ 1.
T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1.
1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1.
(x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x).
(L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)).
(1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x.
(1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x.
(T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))).
T(x,x / (x * T(x,y))) != z | T(x,T(x,y) \ 1) = z.
x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1).
x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1).
x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1).
T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z.
T(x,T(x,y) \ 1) = x * K(x,x \ 1).
T(K(x,x \ 1),y) = K(x,x \ 1).
T(x,K(y,y \ 1)) = x.
K(x,x \ 1) * y = y * K(x,x \ 1).
K(x,x \ 1) * y != z | y * K(x,x \ 1) = z.
T(x,K(y \ 1,y)) = x.
K(x \ 1,x) * y = y * K(x \ 1,x).
T(K(x \ 1,x),y) = K(x \ 1,x).
(K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)).
(K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u.
K(x \ (x / T(x,y)),x) = K(x \ 1,x).
x * K(y \ 1,y) != z | K(y \ 1,y) * x = z.
R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)).
x * K(x \ (x / T(x,y)),x) = 1 / (1 / x).
T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x.
(x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x.
(R(x / y,y,z) * y) \ (x * z) = L(z,y,R(x / y,y,z)).
L(x,y,R((y * z) / y,y,x)) = (y * R(z,y,x)) \ ((y * z) * x).
R(a(x,y,z),u,w) != v5 | a(x,y,z) = v5.
T(x,a(y,z,u)) \ R(x,a(y,z,u),a(y,z,u) \ 1) = K(x * a(y,z,u),a(y,z,u) \ 1).
x \ ((x \ 1) \ 1) = K(x,1 / x).
(x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x.
(x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x).
(x * (y * z)) * (a(x,y,z) * R(a(x,y,z) \ ((x * (y * z)) \ u),w,v5)) = ((x * y) * z) * R(((x * (y * z)) * a(x,y,z)) \ u,w,v5).
(x * (y * z)) * (a(x,y,z) * R(a(x,y,z) \ ((x * (y * z)) \ u),w,v5)) = ((x * y) * z) * R(((x * y) * z) \ u,w,v5).
(x * (y * z)) * (a(x,y,z) * R(a(x,y,z) \ ((x * (y * z)) \ u),w,v5)) = (x * y) * (z * R(z \ ((x * y) \ u),w,v5)).
(x * (y * z)) * R(a(x,y,z) * (a(x,y,z) \ ((x * (y * z)) \ u)),w,v5) = (x * y) * (z * R(z \ ((x * y) \ u),w,v5)).
(x * (y * z)) * R((x * (y * z)) \ u,w,v5) = (x * y) * (z * R(z \ ((x * y) \ u),w,v5)).
(x * y) * (z * R(z \ ((x * y) \ u),w,v5)) = x * ((y * z) * R((y * z) \ (x \ u),w,v5)).
(x * y) * (z * R(z \ ((x * y) \ u),w,v5)) = x * (y * (z * R(z \ (y \ (x \ u)),w,v5))).
(x * y) * (z * R(z \ L(y \ u,y,x),w,v5)) = x * (y * (z * R(z \ (y \ (x \ (x * u))),w,v5))).
(x * y) * (z * R(z \ L(y \ u,y,x),w,v5)) = x * (y * (z * R(z \ (y \ u),w,v5))).
((1 / x) * y) / ((1 / x) * (x * y)) = R(1 / x,x,y).
L(T(x,x \ 1),x \ 1,y * x) = R(y,x,x \ 1) \ (y * x).
((x * (1 / y)) * R(L(y,1 / y,x),z,u)) * w = (x * (1 / y)) * (w * R(w \ ((x * (1 / y)) \ (x * w)),z,u)).
(x * (1 / y)) * (z * R(z \ L((1 / y) \ z,1 / y,x),u,w)) = ((x * (1 / y)) * R(L(y,1 / y,x),u,w)) * z.
((x * (1 / y)) * R(L(y,1 / y,x),z,u)) * w = x * ((1 / y) * (w * R(w \ ((1 / y) \ w),z,u))).
((x * (1 / y)) * R(L(y,1 / y,x),z,u)) * w = x * (((1 / y) * R((1 / y) \ 1,z,u)) * w).
((x * (1 / y)) * R(L(y,1 / y,x),z,u)) * w = x * (((1 / y) * R(y,z,u)) * w).
(x * (L(x,y,z) * T(T(u,L(x,y,z)),x))) \ ((u * L(x,y,z)) * x) = a(L(x,y,z),T(u,L(x,y,z)),x).
(x * (T(y,x) * L(x,z,u))) \ ((y * L(x,z,u)) * x) = a(L(x,z,u),T(y,L(x,z,u)),x).
(x * (T(y,x) * L(x,z,u))) \ ((y * x) * L(x,z,u)) = a(L(x,z,u),T(y,L(x,z,u)),x).
a(L(x,y,z),T(u,L(x,y,z)),x) = a(x,T(u,x),L(x,y,z)).
T(T(x * y,x) / y,y) = R(x,y,T(x,y)).
(x * (y * (x * z))) / (x * (z * T(y,x * z))) = R(x,z,T(y,x * z)).
(x * (y * (x * z))) / (L(y,z,x) * (x * z)) = R(x,z,T(y,x * z)).
x \ T(y * x,y) = R(y,x,T(y,x)).
L(R(x,y,T(x,y)),y,x) = x.
R(L(x,y,x),y,T(x,y)) = x.
a(x,1 / x,x) = K(x,1 / x).
L(x,y,K(z,1 / z)) = x.
L(x,y,K(z \ 1,z)) = x.
L(x,y,K(z,z \ 1)) = x.
T(x,K(x \ 1,x) * y) = T(x,y).
(K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z).
R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y).
(K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z.
(K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z).
K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y.
L(x \ y,x,x \ 1) = (1 / x) * y.
(K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z).
(K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z.
((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u).
K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y.
(x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z).
K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y.
(1 / x) * (x * y) = L(y,x,x \ 1).
((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y.
((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)).
((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y.
((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z.
L(T(x,y),y,y \ 1) = (1 / y) * (x * y).
x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x.
(K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u).
(1 / x) \ L(y,x,x \ 1) = x * y.
L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y).
((1 / x) * y) / L(y,x,x \ 1) = R(1 / x,x,y).
L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)).
((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y.
K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x).
(x * y) * K(x \ 1,x) = (1 / (1 / x)) * y.
x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y.
K(x,x \ 1) * (x * y) = T(x,x \ 1) * y.
K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y.
K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y.
(x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z).
K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u).
K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x).
L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u.
x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x.
K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u).
K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1).
(1 / (1 / x)) * (K(x,x \ 1) * y) = x * y.
K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y).
(1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y.
L(x,y,1 / z) != u | L(x,y,z \ 1) = u.
((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x).
L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z.
K((x / (y * x)) \ 1,x / (y * x)) = R(y \ 1,y,z) \ (z / (y * z)).
R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1.
(R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y).
((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x).
(x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)).
(x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y.
(x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y).
L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y.
L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y.
K(x \ 1,x) * (K(x,x \ 1) * y) = y.
K(x \ 1,x) \ y = K(x,x \ 1) * y.
K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u).
K(x,x \ 1) * (y * K(x \ 1,x)) = y.
K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z.
K(x \ 1,x) * y != z | K(x,x \ 1) * z = y.
K(x \ 1,x) * ((x * (1 / x)) * y) = y.
K(x \ 1,x) * (y * K(x,x \ 1)) = y.
K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x.
(x * (1 / x)) * R(K(x \ 1,x) * y,z,u) = R(y,z,u).
(K(x \ 1,x) * y) * K(x,x \ 1) = y.
K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x.
(x * (1 / x)) * R(y,z,u) = R((x * (1 / x)) * y,z,u).
K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x.
T(x,(1 / x) * y) = T(x,(x \ 1) * y).
(x * K(y \ 1,y)) * K(y,y \ 1) = x.
(K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)).
((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z.
(x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (y * x)) != u | K(y * K(z \ 1,z),x) = u.
(x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w.
((x \ (x / y)) * z) * K(y,x \ (x / y)) = (1 / (1 / (x \ (x / y)))) * z.
(x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y.
(x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y.
K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y.
L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y).
(x \ 1) * ((x * (1 / x)) * y) = (1 / x) * y.
((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y.
K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y.
(x * (1 / x)) * ((1 / x) \ y) = (x \ 1) \ y.
(1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y.
(x \ 1) * R((x * (1 / x)) * y,z,u) = (1 / x) * R(y,z,u).
(1 / x) * R((1 / x) \ y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u).
(1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u).
R(x * y,z,u) / y = y \ R(y * x,z,u).
x * (R(y * x,z,u) / x) = R(x * y,z,u).
R((x \ y) * x,z,u) / x = x \ R(y,z,u).
x * (R(y,z,u) / x) = R(x * (y / x),z,u).
(x \ R(y,z,u)) * x = R((x \ y) * x,z,u).
R(x,y,z) / x = x \ R(x,y,z).
R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
(R(x,y,z) \ x) * R(x,y,z) = x.
(x \ R(x,y,z)) * x = R(x,y,z).
R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x.
x * (R(x,y,z) / x) = R(x,y,z).
(1 / x) * R(x,y,z) = x \ R(x,y,z).
T(x,x \ R(x,y,z)) = x.
R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)).
R(R(x,y,z) \ R(R(x,y,z),u,w),R(x,y,z),y * z) = (R(R(x,y,z),u,w) * (y * z)) / ((x * y) * z).
(x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w.
x / R(x,y,z) = R(x,y,z) \ x.
((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z.
((x * (1 / y)) * R(L(y,1 / y,x),z,u)) * w = x * ((y \ R(y,z,u)) * w).
(x * ((1 / y) * R(y,z,u))) * w = x * ((y \ R(y,z,u)) * w).
(x * (y \ R(y,z,u))) * w = x * ((y \ R(y,z,u)) * w).
R(x,y \ R(y,z,u),w) = x.
L(x,y \ R(y,z,u),w) = x.
(x * (y \ R(y,z,u))) \ w = (y \ R(y,z,u)) \ (x \ w).
a(x,y \ R(y,z,u),w) = 1.
((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y.
K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y.
x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x.
x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x.
(((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1).
L(x,y * R(y \ 1,z,u),w) = x.
L(x,(y / z) * (z / y),u) = x.
L(x,y * (1 / y),z) = x.
L(x,K(y,1 / y),z) = x.
L(x,K(y \ 1,y),z) = x.
(x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z).
K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z).
(x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y.
x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1.
x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1.
R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y).
R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y).
(x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1).
T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)).
1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1.
(x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)).
1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))).
x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)).
1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)).
x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))).
(x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)).
x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)).
(x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)).
x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))).
(x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)).
x / L(y,y \ 1,x) = x * (1 / y).
1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y.
(((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y).
1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1.
((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y.
((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x).
K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z).
L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y).
L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y).
L(T(x,y) / x,x,y) = K(1 / (1 / x),y).
K(1 / (1 / x),y) = (x * K(x,y)) / x.
T(K(1 / (1 / x),y),x) = K(x,y).
K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z.
(x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w.
K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)).
x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y).
(x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)).
(x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u).
(x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * u) = (x * y) \ u.
R(x,y,K(z \ 1,z)) = x.
x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z).
(x * (1 / y)) * K(y \ 1,y) = x * (y \ 1).
(x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y.
T(x,y * K(z \ 1,z)) = T(x,y).
R(x,y,K(z,z \ 1)) = x.
(K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x).
(x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)).
(x / (1 / y)) * (y \ 1) = x * K(y \ 1,y).
R(x,y \ 1,y) / y = x * (1 / y).
(x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1).
K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)).
x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1).
(x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1).
K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z.
(x * (y \ 1)) / (1 / y) = x * K(y \ 1,y).
(x / (y \ 1)) * K(y \ 1,y) = x / (1 / y).
R(x / (1 / y),y \ 1,y) = x * y.
R(x,1 / y,y) = R(x,y \ 1,y).
(x * (1 / y)) * y = R(x,y \ 1,y).
((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1).
R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x.
R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y.
R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y.
(x * y) * K(y,y \ 1) = x * T(y,(z * y) \ z).
K(x,(y * x) \ y) = K(x,x \ 1).
((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z.
x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z.
K(x,y \ (y / x)) = K(x,x \ 1).
((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z.
K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z.
(1 / x) * (y \ (1 / (1 / x))) = (x \ 1) * (y \ x).
x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z).
(1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x).
x * K(y \ (1 / (1 / x)),y) = (y \ x) * y.
K(x * K(y \ 1,y),z) = (z * x) \ (x * z).
(x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u).
(K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u).
(x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x).
(x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z).
L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)).
(x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z).
(K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u).
K(x * K(y \ 1,y),z) = K(x,z).
(x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x).
R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1).
((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z.
x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y).
x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z).
L(x,y,z) * K(u \ 1,u) = L(K(u \ 1,u) * x,y,z).
L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)).
((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z.
T(x,1 / y) = T(x,y \ 1).
T(x,(y \ 1) \ 1) = T(x,y).
T(x,y * K(z,z \ 1)) = T(x,y).
T(x,y / (1 / z)) = T(x,y / (z \ 1)).
K((x \ 1) \ 1,y) = K(x,y).
K(1 / (1 / x),y) = K(x,y).
K((1 / x) * y,z) = K((x \ 1) * y,z).
K((1 / x) \ y,z) = K((x \ 1) \ y,z).
K(x * ((y \ 1) \ 1),z) = K(x * y,z).
K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u).
K(x \ 1,x) * L(y,z,u) = L(K(x \ 1,x) * y,z,u).
K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u).
(x \ L(x * (y / x),z,u)) * x = L(y,z,u).
x * (L(y,z,u) / x) = L(x * (y / x),z,u).
(x \ L(y,z,u)) * x = L((x \ y) * x,z,u).
(x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)).
(L(x,y,z) \ x) * L(x,y,z) = x.
(x \ L(x,y,z)) * x = L(x,y,z).
L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x.
L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x.
L(x,y,z) / x = x \ L(x,y,z).
(x \ L(x,y,z)) \ L(x,y,z) = x.
T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y).
x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))).
(x * K(x,y)) / x = K(x,y).
K(L(x,x \ 1,y),z) = K((y * (x \ 1)) \ y,z).
T(K(x,y),x) = K(x,y).
K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u).
T(x,K(x,y)) = x.
T(K(x,y),x) != z | K(x,y) = z.
T(K(x,y),x) = K((x \ 1) \ 1,y).
T(x,y) != K(y,z) | K(y,z) = x.
T(T(x,y),K(x,z)) = T(x,y).
L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z).
R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z).
T(x,y \ ((x * y) / x)) = x.
T(K(x,y),T(x,z)) = K(x,y).
(R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5.
T(K(x,y),L(x,z,u)) = K(x,y).
T(K(x,y),R(x,z,u)) = K(x,y).
T(x,y) * K(x,z) != u * w | (K(x,z) * T(x,y)) / w = u.
T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u.
L(x,y,z) * K(x,u) != w | K(x,u) * L(x,y,z) = w.
(x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x.
T((x \ 1) * y,(x \ 1) \ 1) = (x \ 1) * ((x \ y) * x).
T(x,R(y \ 1,y,z)) = T(x,z / (y * z)).
T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)).
(x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)).
R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y.
R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y.
(x \ (x * y)) * x = (x * (y \ T(y,x))) * y.
(x * (y \ T(y,x))) * y = y * x.
x * (y \ T(y,x)) = (y * x) / y.
(x \ y) * (x \ T(x,x \ y)) = y / x.
x \ ((y * x) / y) = y \ T(y,x).
T(x,y) \ x = y \ T(y,T(x,y)).
(x / y) \ T(x / y,y) = y \ (x / (x / y)).
((x * y) / x) * (y \ 1) = x \ T(x,y).
(x \ y) * (x \ ((x \ y) \ y)) = y / x.
T(x,x \ T(x,y)) = x.
(x / y) \ (y \ x) = y \ (x / (x / y)).
(x \ y) \ (y / x) = x \ ((x \ y) \ y).
T(x,y) / x = x \ T(x,y).
(x \ T(x,y)) * x = T(x,y).
T(x,K(y \ (y / (x \ 1)),y)) = x.
(x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)).
(x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y).
x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x).
(x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y).
(1 / x) * T(x,y) = x \ T(x,y).
(1 / x) * T((1 / x) \ 1,y) = x \ T(x,y).
T(x,y) \ x = T(y,T(x,y)) / y.
T(x,R(1 / y,y,x)) = T(x,x / (x * y)).
T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z).
T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)).
(((x * y) / x) \ y) \ y = (x * y) / x.
T(1 / x,T(x,y)) = x \ 1.
T(x,R(y,y \ 1,x)) = T(x,y).
x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x.
R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z).
T(x,R(y \ 1,y,x)) = T(x,x / (x * y)).
T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)).
x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x).
(((x * y) / x) \ y) * ((x * y) / x) = y.
T(x / (y * x),T(y,z)) = R(y \ 1,y,x).
T(x,R(y \ 1,y,x)) = T(x,y \ 1).
(x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y).
L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z).
K((x \ 1) \ 1,y) != z | K(x,y) = z.
x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x).
(((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y).
T(x,x / (y * x)) = T(x,y \ 1).
T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)).
(L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y).
x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x.
L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)).
(x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x).
(x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x).
x * (y * ((x \ y) / y)) = T(y,x \ 1).
x \ T(y,x \ 1) = y * ((x \ y) / y).
x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)).
T(x,R(y \ 1,y,x)) / y = x * ((x / y) / x).
T(x,x / (x * y)) = T(x,y \ 1).
T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))).
T(x,y \ 1) / y = x * ((x / y) / x).
(x * ((x / y) / x)) * y = T(x,y \ 1).
K(x,(x / y) / x) = x \ T(x,y \ 1).
x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1).
T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x).
x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1).
T(x,(y \ x) \ 1) / (y \ x) = x * (y / x).
((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x.
((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x.
(x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1).
L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)).
R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x).
x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z).
(x / y) \ T(x,(x / y) \ 1) = x * (y / x).
((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y.
x \ T(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u).
((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)).
x \ T(x,R(y,z,u) \ 1) = R(x \ T(x,y \ 1),z,u).
T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1).
((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y.
x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z).
L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y.
T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)).
x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z).
T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z).
x * ((x \ T(x,y)) * z) = T(x,y) * z.
x \ (T(x,y) * z) = (x \ T(x,y)) * z.
(x \ T(x,y)) \ 1 = T(x,y) \ x.
L(x,y \ T(y,z),y) = x.
(x \ T(x,y)) * z = T(x,y) * (x \ z).
x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z.
(x * T(x \ y,z)) / y = (y / x) \ T(y / x,z).
R(x,x \ T(x,y),z) = x.
1 / (x \ T(x,y)) = T(x,y) \ x.
T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1.
(x \ T(x,y)) \ y = T(y,T(x,y)).
(x \ T(x,y)) \ z = x * (T(x,y) \ z).
L(x,y,y \ T(y,z)) = x.
(T(x,y) * z) / (x * z) = x \ T(x,y).
((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z).
T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)).
((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y).
(x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)).
(x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u.
(x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1.
(((x * y) / x) \ y) \ 1 = y \ ((x * y) / x).
1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x.
T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y.
T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x).
((x * y) / x) \ y = T(x,y) \ x.
T(x,T(y,x)) \ x = y \ T(y,x).
T(x,x \ y) \ x = (y / x) \ (x \ y).
((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x).
(((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y.
(T(x,y) \ x) * ((x * y) / x) = y.
L(x,T(y,T(z,y)) \ y,z) = x.
T(x,x \ y) \ x = x \ (y / (y / x)).
((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x).
((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y.
L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y.
L(x,T(y,z) \ y,(y * z) / y) = x.
((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y.
L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y.
L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y.
x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x).
T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x.
(x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u.
K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u).
x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z.
T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)).
x * (((y * x) / y) \ z) = (T(y,x) \ y) * z.
(T(x,y) \ x) * (x * y) = y * x.
(T(x,y) \ x) * T(x,y) = x.
(x * y) / (y * x) = T(y,x) \ y.
T(T(x,y) \ x,x * y) = K(y,x).
T(T(x,y),T(x,y) \ x) = T(x,y).
x / T(x,y) = T(x,y) \ x.
(T(x,y) \ x) \ x = T(x,y).
T(x,T(y,x)) * T(y,x) = x * y.
T(x / y,y) \ (x / y) = (y * (x / y)) / x.
T(x,y / x) \ x != z | y / (x * (y / x)) = z.
T(x,T(x,y) \ x) = x.
(T(x,y) \ x) / x = 1 / T(x,y).
(x / T(y,x)) * y = T(x,T(y,x)).
(x * (y / x)) / y = (x \ y) \ (y / x).
T(x,y \ T(y,x)) = x.
((T(x,y) \ x) / x) \ 1 = T(x,y).
(x * (y / x)) / y = x \ ((x \ y) \ y).
(x \ T(x,x \ y)) * y = x * (y / x).
x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1).
T(x,x \ y) * (x \ y) = x * (y / x).
T(x,x \ (y \ x)) = T(x,y \ 1).
T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x).
T(x,(x / y) \ 1) = T(x,x \ y).
x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x.
(x / y) \ T(x,x \ y) = x * (y / x).
T(x,y \ 1) \ x = y * T(y \ 1,x).
(x / (y * x)) \ T(x,x \ (y * x)) = x * y.
K(x \ (x / y),x) = T(x,y \ 1) \ x.
T(x,(y \ 1) \ 1) \ x = y \ T(y,x).
T(x,y * T(y \ 1,x)) = x.
K(x \ (x / y),x) \ x = T(x,y \ 1).
T(x,y) \ x = y \ T(y,x).
T(x,(y \ x) \ 1) = K(x \ y,x) \ x.
T(x,y) \ x = T(y,x) / y.
T(x,y / x) \ x = x \ (y / (y / x)).
(T(x,y / z) \ x) * y = z * T(z \ y,x).
T(x,T(y,x)) = T(x,y).
x \ (y \ T(y,x)) = T(x,y) \ 1.
x * ((T(y,x) \ y) * z) = T(x,y) * z.
T(x,y) * (x \ z) = (T(y,x) \ y) * z.
T(x \ T(x,y),y * x) = K(x,y).
T(x,y) / x = y / T(y,x).
(x * y) / (y * x) = T(x,y) / x.
x / (y * (x / y)) = y \ (x / (x / y)).
T(x,y / x) = T(x,x \ y).
x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x.
x * T(y,T(x,y)) = y * x.
(x / T(y,x)) * y = T(x,y).
T(x,T(y \ 1,x)) = T(x,(y \ z) / z).
T(x,y) / y = x / T(y,x).
T(x,y) * T(y,x) = x * y.
T(x,y) \ y = x \ T(y,x).
T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)).
T(x,(x * y) / x) = T(x,y).
L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x).
x * (((y * x) / y) \ z) = T(x,y) * (x \ z).
x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1).
T(x,y / x) = (x \ y) \ y.
(x / y) * T(y,y \ x) = y * (x / y).
(T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z.
T(x,(y \ z) / z) = T(x,y \ 1).
(x / T(y,x)) * y != z | T(x,y) = z.
(T(x,y) * T(y,x)) / y = x.
(T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z).
T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y).
T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y).
((x * y) / x) \ (y * z) = T(y,x) * (y \ z).
T(x / (x / y),y \ x) = y.
T(x,(y / z) \ 1) = T(x,z / y).
T(x,T(y,x)) != z | T(x,y) = z.
(a(x,y,z) \ u) \ u = T(a(x,y,z),u).
((x \ y) * x) / (x \ y) = y / (y / x).
(x / (x / y)) * (y \ x) = (y \ x) * y.
T(x / (x / (x / y)),y) = x / y.
T(x \ T(x,y),y) = x \ T(x,y).
T(x,K(y,x)) = x.
T(x,K(y,T(x,z))) = x.
K(x,K(y,x)) = 1.
T(K(x,y),y) = K(x,y).
(x * K(y,x)) / x = K(y,x).
K(x,y) * y = y * K(x,y).
R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z).
K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u).
R(x,y * K(z \ 1,z),u) = R(x,y,u).
R(x,(y \ 1) \ 1,z) = R(x,y,z).
R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z.
x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z.
T(x / (x / y),x) = L(y,y \ x,y).
((x \ y) * x) * (y / x) = y * (x \ y).
(x * (y / x)) / x = y / (y / (y / x)).
R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y).
x * T(x / (x / y),x) = y * ((y \ x) * y).
L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y).
(x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y).
R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x.
T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y).
L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z).
R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x.
R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x.
(x * (y / x)) * (y / (y / x)) = y * x.
(x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x.
(x * y) * ((y * x) / y) = (y * x) * x.
x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y.
((x \ y) * x) * x = y * (y / (y / x)).
((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))).
L(x,K(y,z \ 1),y) = x.
R(x,K(x,y \ 1),z) = x.
L(x,y,K(y,z \ 1)) = x.
(x \ T(x,y)) * y = (x * y) / x.
L(K(x,y),y,1 / y) = K(x,y).
(1 / x) \ K(y,x) = x * K(y,x).
L(x,K(y,z),y) = x.
R(x,K(x,y),z) = x.
L(x,y,K(y,z)) = x.
R(T(x,y),K(x,z),u) = T(x,y).
(K(x,y) * x) * z = K(x,y) * (x * z).
T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x).
T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x).
T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x).
L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x).
((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y).
((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y).
(x / (y * x)) \ T(x,T(y,x)) = x * y.
(x / (y * x)) \ T(x,y) = x * y.
R(1 / x,x,y) \ T(y,x) = y * x.
T(x,y) / (x * y) = R(1 / y,y,x).
R(1 / x,x,T(y,x)) = R(1 / x,x,y).
R(1 / x,x,y / x) = R(1 / x,x,x \ y).
R(1 / x,x,x \ y) \ (y / x) = x * (y / x).
((x \ y) / y) * (x * (y / x)) = y / x.
(R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5).
(K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5).
(K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5).
((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y.
R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x).
L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z.
R(K(x,y),x,z) != u | K(x,y) = u.
((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1).
L(K(x,y),y * x,y \ 1) = (x * y) / (y * x).
T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y).
T(x,(x \ 1) * (y * x)) = T(x,y).
T(x,T((x \ 1) * y,x)) = T(x,x \ y).
T(x,(x \ 1) * y) = T(x,x \ y).
L(x,y * K(z \ 1,z),u) = L(x,y,u).
L(x,1 / y,z) = L(x,y \ 1,z).
(x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z).
(x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z).
(x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z.
T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y).
T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z).
T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u).
T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u.
R(x \ T(x,y),y,z) = x \ T(x,y).
((x * y) / x) / y = x \ T(x,y).
T(x,y) * (x \ y) = (x * y) / x.
R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z.
R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z).
T(x,T(y,x * y)) = y \ (x * y).
T(x,x / (x / y)) = T(x,y).
(x \ T(x,y)) \ (((x * y) / x) * z) = y * z.
R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z.
T(x,T(y,x * y)) = T(x,y).
T(x,x / (1 / y)) = T(x,x * y).
T(x,x / y) = T(x,y \ x).
(x \ T(x,x \ y)) \ y = (x \ y) * x.
R(T(x,x * y),y,x) = (x / T(y,x)) * y.
R(T(x,x * y),y,x) = T(x,y).
R(T(x,x * y),y,x) = T(x,T(y,x)).
(x \ T(x,y)) \ z = (T(x,y) \ x) * z.
(x \ ((x \ y) \ y)) \ y = (x \ y) * x.
(T(x,y) \ x) * z = x * (T(x,y) \ z).
(T(x,y) \ x) * (T(x,y) * z) = x * z.
x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z.
x * T(x \ y,z) = z * (T(z,y / x) \ y).
T(x,y) * (x \ (T(y,x) * z)) = y * z.
T(x,y) * (T(y,x) * z) = x * (y * z).
x / ((y \ x) * y) = y \ ((y \ x) \ x).
T(x,x * (y / x)) = T(x,y).
T(x,y * x) = T(x,x * y).
T(R(x,y,x),x * y) = T(x,y).
L(R(x,y,x),y,x) * y = y * T(x,T(y,x)).
T(x,(x \ y) * x) = T(x,y).
T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z).
T(x,T(y,y * x)) = T(x,y).
L(R(x,y,x),y,x) = x.
((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z.
(((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x).
R(T(x,R(x,y,z) * u),y,z) = R(T(x,u * R(x,y,z)),y,z).
T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w.
T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w.
x \ T(y * x,y) = R(y,x,y).
R(L(x,y,x),y,x) = x.
((x \ y) * x) / T(x,y) = x \ T(y,x).
x * R(y,x,y) = T(y * x,y).
(x * (y * x)) / x = L(x,y,x) * y.
(x \ T(y,x)) * T(x,y) = (x \ y) * x.
T(x,R(y,x,y)) = T(x,y).
T(x,L(x,y,x) * y) = T(x,y * x).
T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x).
T(x,(x \ y) * T(x,y)) = T(x,y).
R(T(x,y),x \ y,T(x,y)) = T(x,x \ y).
x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z.
x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u.
(x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z).
x \ T(x * (y / x),z) = T(y,z) / x.
x * (T(y,z) / x) = T(x * (y / x),z).
(x \ T(x * (y / x),z)) * x = T(y,z).
T(x * y,z) / y = y \ T(y * x,z).
T((x \ y) * x,z) / x = x \ T(y,z).
x * (y * (T(z,x) / y)) = (y * (z / y)) * x.
a(T(x,y),T(y,x),z) != u | a(x,y,z) = u.
T(x * (y / x),y) = x * (y / x).
(x \ T(x * y,z)) * x = T(y * x,z).
(x \ T(y,z)) * x = T((x \ y) * x,z).
x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y.
T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y).
(x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)).
a(T(x * (y / x),x),T(x,y),z) != u | a(x * (y / x),x,z) = u.
T(x * y,z) / y != u | y \ T(y * x,z) = u.
x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x.
T((x \ y) * x,y) = (x \ y) * x.
((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y.
((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z.
(x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z).
T(x,y) / (z \ x) != u | (z \ x) \ T((z \ x) * z,y) = u.
(x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y).
((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x).
(x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z).
(x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z).
(x \ y) \ T((x \ y) * x,x) = (y * x) / y.
((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x).
(x * y) * T((x * y) \ z,x) = y * ((x \ (y \ z)) * x).
((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x).
(x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x.
((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x).
(x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)).
(x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)).
(x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)).
((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x).
R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x).
(x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y.
(x * (y / x)) / y = y / ((x \ y) * x).
T(x * (y / x),y) / y = y / ((x \ y) * x).
x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x.
((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))).
x * (x / (x / T(y,x))) = y * ((y \ x) * y).
x / (x / T(y,x)) = T(x / (x / y),x).
T(x / (x / y),x) \ x = x / T(y,x).
x / T(y \ x,x) = T(x / y,x) \ x.
(x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y).
(((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y.
(((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y.
(((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x).
T((x \ y) * x,y) / y = y / (x * (y / x)).
((x \ y) * x) / y = y / (x * (y / x)).
((x \ y) * x) / y = x \ (y / (y / x)).
R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1).
R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1).
(x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1).
(x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1).
(x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x.
((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y.
(1 / x) * ((y \ x) * y) = ((y \ x) * y) / x.
(1 / x) * ((y \ x) * y) = y \ (x / (x / y)).
L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))).
(x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))).
x * (y \ (x / (x / y))) = (y \ x) * y.
x \ (y / (y / x)) = K(x \ y,x).
x / (x / y) = y * K(y \ x,y).
(x / y) * K(y \ x,y) = y \ x.
K(x \ y,x) * y = (x \ y) * x.
K(x \ y,x) * (x * (y / x)) = y.
T(x * K(x \ y,x),y) = L(x,x \ y,x).
T(x,K(y \ x,y)) = x.
T(x * y,K(y,x)) = x * y.
(x * y) / (y * x) = K(x,y).
K(x,y) * (y * x) = x * y.
T(x,y) / x = K(x,y).
T(x,y) \ x = K(y,x).
x / K(y,x) = T(x,y).
T(x,y) * K(y,x) = x.
K(x,y) * x = T(x,y).
x * T(x \ 1,y) = K(x \ 1,y).
(1 / x) * T((1 / x) \ 1,y) = K(x,y).
K(x,T(y,x)) = T(y,x) \ y.
x \ T(x,y) = K(x,y).
x * K(x,y) = T(x,y).
T(x,y) * K(y,T(x,y)) = x.
K(x,y) * T(y,x) = y.
K(x,y) / T(x,y) = 1 / x.
(T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = R(K(R(x,y,z),u),R(x,y,z),y * z).
x * (T(x,y) \ 1) = K(y,x).
K(x \ (x / y),x) = K(y \ 1,x).
((x * y) / x) \ y = K(y,x).
K(T(x,y),y) = x \ T(x,y).
(x \ 1) * K(y,x) = T(x,y) \ 1.
T(x,y) \ 1 = x \ K(y,x).
K(x,y) \ y = T(y,x).
(K(x,y) / y) \ 1 = T(y,x).
K(x / y,z) * x = y * T(y \ x,z).
x * (K(x,y) * z) = T(x,y) * z.
T(x,y) * (x \ z) = K(x,y) * z.
x * (T(x,y) \ z) = K(y,x) * z.
K(x,y) * (T(y,x) * z) = y * z.
((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x.
T(x,y) \ x != z | K(y,x) = z.
x * (y * K(x,y)) = T(x,y) * y.
(x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u.
T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w.
K(x,y) * (x * z) = T(x,y) * z.
((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y.
x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z).
R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z).
x * T(x \ y,z) = y * K((y \ x) \ 1,z).
(x * y) * T((x * y) \ x,z) = x * K(y \ 1,z).
x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y.
K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z.
K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z).
K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u).
T(x,y) * (x \ 1) = K(x,y).
x * ((y * (x \ 1)) / y) = K(y,x \ 1).
L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1).
(x * y) / x = y * K(x,y).
(x * y) / x = K(x,y) * y.
T(x,y) \ K(x,y) = x \ 1.
L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u).
R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u).
x * K(x,y) != z | T(x,y) = z.
x * K(x,y) != z * u | z \ T(x,y) = u.
K(x,x * (y \ 1)) = x \ T(x,y \ x).
x \ T(x,y \ 1) = K(x,1 / y).
K(x,y * K(z,z \ 1)) = x \ T(x,y).
(x * K(y,x)) * y = y * x.
(x \ y) * K(x,x \ y) = y / x.
x \ (T(x,y) * z) = K(x,y) * z.
T(x,y) \ x = K(x,y) \ 1.
x * (T(x,y) \ z) = K(x,y) \ z.
K(x,(y \ z) / z) = x \ T(x,y \ 1).
T(x * K(y,x),y) = x.
((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y).
T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)).
K(x,y * K(x,y)) = K(x,y).
T(T(x * K(y,x),z),y) = T(x,z).
L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u).
T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)).
(1 / x) * ((y * x) / y) = K(y,x).
R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x).
T(x,y) * K(y,T(x,y)) != z | z = x.
L(x * K(y,x),z,u) = (y * L(x,z,u)) / y.
L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z).
R(x * K(y,x),z,u) = (y * R(x,z,u)) / y.
T(x * K(y,x),y) != z | x = z.
T(x * K(y,x),x * y) = L(x,y,x).
(x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y.
(x * ((y * z) / y)) / L(z,K(y,z),x) = x * K(y,z).
(x * y) * L(K(y,z),y,x) = x * T(y,z).
T(x,y) != x * z | K(x,y) = z.
(x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u.
x \ T(x,y) != z | K(x,y) = z.
K(x,T(y,x)) = K(x,y).
R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z).
(x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x).
L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)).
(x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z).
x * (((y * x) / y) \ 1) = K(x,y).
(x \ 1) * K(y,x) = x \ K(y,x).
T(x,(y \ x) \ 1) = T(x,x \ y).
K(x,x \ (y * x)) = K(x,y).
K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)).
K(x,y / x) = K(x,x \ y).
K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)).
K(T(x,y),y) = K(x,y).
K(x \ (y * x),x) = K(y,x).
K(x / y,y) = K(y \ x,y).
(x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u).
(x \ y) * T((x \ y) \ y,z) = K(x,z) * y.
K(x,y) * (T(x,y) \ z) = x \ z.
K(x,y) * K(y,x) = 1.
T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)).
T(x,y) * T(z,x) = K(x,y) * (z * x).
(K(x,y) * z) \ (T(x,y) * z) != u | T(x,K(x,y) * z) = u.
x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x).
T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y).
(x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z).
(x * y) / (T(x,z) * y) = K(z,x).
K(x,y) * (x * z) != u | T(x,y) * z = u.
T(x,y) * K(x,z) = K(x,y) * T(x,z).
T(x,y) \ (x * z) = K(y,x) * z.
K(x,y) * (y \ z) = T(y,x) \ z.
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))).
(x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z).
K(x,T(y,x)) != z | K(x,y) = z.
(K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y).
((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u).
K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w.
T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x).
T(x,y) * R(T(z,x),u,w) = K(x,y) * (R(z,u,w) * x).
T(x,y) * (x \ z) != u | K(x,y) * z = u.
(x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z).
x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z).
K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z).
R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
(x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y.
T(K(x / y,z),x) = K((x \ y) \ 1,z).
x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z).
(x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z.
x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1).
T(K(x \ 1,y),z) = K(T(x,z) \ 1,y).
L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y).
K(x,y) * (x \ 1) = x \ K(x,y).
(x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1).
R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1).
(x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1).
L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
T(K(x,y \ 1),z) = K(x,T(y,z) \ 1).
K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z).
K(x,x * (y \ 1)) = K(x,y \ x).
K(x,1 / y) = K(x,y \ 1).
K(x,y * K(z,z \ 1)) = K(x,y).
x * (K(x,y) * z) != u | T(x,y) * z = u.
K(x,y) \ 1 = K(y,x).
1 / K(x,y) = K(y,x).
K(x,y) \ 1 != z | K(y,x) = z.
K(x,y) \ z = K(y,x) * z.
x \ (K(y,z) \ x) = T(K(z,y),x).
x / (y * T(y \ x,z)) = K(z,x / y).
x / (K(y,z) * x) = K(z,y).
K(x,y) * (K(y,x) * z) = z.
K(x,(y \ z) / z) = K(x,y \ 1).
K(x,(y \ z) / z) != u | K(x,y \ 1) = u.
T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y).
T(x * K(x * y,x),y) = R(x,y,x).
L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z).
R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z).
T(R(x * K(y,x),z,u),R(x,z,u) * y) = L(R(x,z,u),y,R(x,z,u)).
R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y).
T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u.
T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)).
((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y).
T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)).
(x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u).
((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)).
T(x,x \ y) / (y \ x) = x * (y / x).
(R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)).
K(x,y) * T(x,z) != u | T(x,y) * K(x,z) = u.
(K(x,y) * T(x,z)) / T(x,y) = K(x,z).
K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u.
(x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z).
K(x,y) * z != 1 | K(y,x) = z.
K(x,y) != z \ 1 | K(y,x) = z.
1 / K(x,y) != z | K(y,x) = z.
T(x,y) * (K(y,x) * z) != u | x * z = u.
T(x,y) \ T(x,z) = K(y,x) * K(x,z).
K(x,y) * (y * z) = y * (K(x,y) * z).
T(x,y) \ (x * z) != u | K(y,x) * z = u.
T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x).
K(x,y) * T(K(y,x),z) = K(K(y,x),z).
K(x,y) != 1 / z | K(y,x) = z.
(x \ 1) / (x \ K(x,y)) = K(y,x).
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)).
K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y).
K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y).
R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u).
R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1).
(x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1).
T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1).
((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1).
(x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z.
x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x.
K(R(x,y,z),x \ R(x,u,w)) = 1.
K(x,(y \ 1) \ 1) = K(x,y).
K(x,K(y \ 1,y) * z) = K(x,z).
x * T(K(x,y),z) != u | T(x,y) * K(K(x,y),z) = u.
K(x,(y / z) \ 1) = K(x,z / y).
K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)).
K(x,y) * (K(x,z) * K(y,x)) = K(x,z).
K(x,y) * (K(z,y) * K(y,x)) = K(z,y).
K(x,y) \ K(z,y) = K(z,y) * K(y,x).
K(x,y) * z != u | K(y,x) * u = z.
L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u.
L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u.
R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u).
x / (K(y,z) * x) != u | K(z,y) = u.
K(x,y) * (K(y,x) * z) != u | u = z.
(K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5).
K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u.
x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)).
x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)).
K(x,y) \ z != u | K(y,x) * z = u.
R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u).
L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u).
T(x,x \ (y * x)) / ((y * x) \ x) = x * y.
x * K(y,y \ x) = y * (x / y).
T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z).
T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)).
K(x \ R(x,y,z),R(x,u,w)) = 1.
R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u).
K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)).
K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z).
K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1.
T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1).
K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u).
(x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1).
K(T(x \ 1,y) \ 1,z) = T(K(x,z),y).
K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z).
(x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1).
K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u).
K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u).
K(x,T(y \ 1,z) \ 1) = T(K(y,x),z) \ 1.
x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1).
R(K(x,y),x * z,u) = K(R(x,z,u),y).
K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u).
K(x,T(y \ 1,z) \ 1) = T(K(x,y),z).
K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)).
K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w.
K(x,R(y,x,z) \ 1) = K(x,y \ 1).
K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u).
(x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1).
T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1).
(x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1).
(x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z.
K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1).
T(K(x,y),z) \ 1 = T(K(y,x),z).
1 / T(K(x,y),z) = T(K(y,x),z).
K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1).
R(K(x,y),z,u) \ 1 = R(K(y,x),z,u).
(x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1).
x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z.
K(L(x \ 1,y,z) \ 1,u) = 1 / L(K(u,x),y,z).
L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1).
1 / L(K(x,y),z,u) = L(K(y,x),z,u).
L(T(K(x,y \ z),u),y \ z,y) = T(K(x,(z \ y) \ 1),u).
(x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y).
K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u).
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
T(K(x,y),z) \ 1 != u | T(K(y,x),z) = u.
L(K(x,y),z,u) \ 1 = L(K(y,x),z,u).
L(T(K(x,y \ z),u),y \ z,y) = K(x,T(z \ y,u) \ 1).
K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1).
(x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z).
K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z.
K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y).
K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y).
K(R(x,x \ y,z),u) = R(K(x,u),y,z).
x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))).
K(R(x,x \ 1,y),z) = K(x,z).
K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z.
K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y).
R(K(x,y),R(x,z,u),w) = K(x,y).
R(K(x / y,z),x,u) = K((x * u) / (y * u),z).
K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w.
T(x,T(y,x)) / ((y * x) \ x) = x * y.
L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z).
(K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u).
K(K(x,y),z) = K(z,K(y,x)).
K(x,(y \ z) \ 1) != u | T(K(x,y / z),y) = u.
(K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u).
x * K(K(y,z),x) = T(x,K(z,y)).
K(x,K(y,z)) * K(z,y) = T(K(z,y),x).
K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u.
T(x,y) / ((y * x) \ x) = x * y.
(x * y) \ T(x,y) = (y * x) \ x.
L(T(x,y) \ 1,x,y) = (x * y) \ y.
L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z.
(R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5.
(x \ 1) / (x \ K(x,y)) != z | K(y,x) = z.
K(x,K(y,z)) != u | K(K(z,y),x) = u.
L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w.
K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w.
T(T(x,K(y,z)),K(z,y)) = x.
T(K(x,y) \ z,K(y,x)) = z / K(x,y).
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
T(T(x,K(y,z)),K(z,y)) != u | u = x.
T(T(x,K(y,z)),K(z,y)) != u | x = u.
K(K(x,y),z) != u | K(z,K(y,x)) = u.
T(K(x,y),K(x,z)) = K(x,y).
T(K(x,y),K(z,y)) = K(x,y).
T(K(x,y) * z,K(x,y)) = z / K(y,x).
K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u.
K(x,y) \ K(z,x) = K(z,x) * K(y,x).
T(K(x,y),K(y,z)) != u | K(x,y) = u.
T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x.
(x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)).
K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w).
R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y.
R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)).
R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)).
R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)).
R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z).
K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z).
((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)).
K(x,R(y,y \ z,u)) = R(K(x,y),z,u).
((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)).
R(K(x,y),y * z,u) = K(x,R(y,z,u)).
R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)).
R(K(x,y),T(y,z),u) = K(x,y).
K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)).
R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z).
T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u.
T(x,y) \ T(x,z) = K(x,z) * K(y,x).
T(x,y) \ T(x,z) != u | K(y,x) * K(x,z) = u.
K(x \ R(x,y,z),R(x,u,w)) = v5 \ v5.
K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5.
(x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)).
(x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1).
(x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1).
(x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1).
(x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)).
(x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)).
(x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)).
R(x,y \ 1,K(z,y)) = x.
R(x,y,K(z,y \ 1)) = x.
(x * K(y,z \ 1)) * y = x * T(y,z \ 1).
(x * K(y,z)) * y = x * T(y,(z \ 1) \ 1).
(x * K(y,z)) * y = x * T(y,z).
(x * K(y,z)) \ (x * T(y,z)) = y.
(x * K(T(y,x),z)) \ (T(y,z) * x) = T(y,x).
(x / y) * T(y,z) = x * K(y,z).
(x * y) * K(y,z) = x * T(y,z).
L(x,K(x,y),z) = x.
x * T(x \ y,z) = y * K(x \ y,z).
x \ (y * T(y \ x,z)) = K(y \ x,z).
((x / y) * K(y,z)) \ (x * K(y,z)) = y.
R(x,y,K(y,z)) = x.
(x * y) \ (x * T(y,z)) = K(y,z).
((x / T(y,z)) * y) \ x = K(y,z).
(x \ (y * K(x,z))) * x = (x \ y) * T(x,z).
L(K(x,y),x,z) = K(x,y).
((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)).
R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z).
(x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)).
L(K(x,y),x,z) = K(y,x) \ 1.
x \ T(x * y,z) = y * K((x \ 1) \ y,z).
T(K(x / y,z),x) = K(y \ x,z).
K((x \ y) \ y,z) = T(K(x,z),y).
x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y).
K((x * y) \ x,z) = K(y \ 1,z).
x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u.
T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y).
(x * y) * K(y,z) != u | x * T(y,z) = u.
x \ (y * K(x,z)) = (x \ y) * K(x,z).
R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)).
K(x / y,x) = K(y \ x,x).
x * K(y \ x,z) != u * x | K(x / y,z) = u.
K(x \ y,z) \ 1 = K(z,(y \ x) \ 1).
K((x \ y) \ y,y) = K(x,y).
K(T(x,x \ y),z) = T(K(x,z),y).
x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z).
K((x * (y \ 1)) \ x,z) = K(y,z).
K(T(x,y) \ 1,z) = K((x * y) \ y,z).
x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u.
x \ (y * ((z \ (y \ x)) * z)) != u | K((z * y) \ x,z) = u.
K((x \ y) \ 1,z) != u | K(y \ x,z) = u.
x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z).
x * ((x \ y) * K(x,z)) = y * K(x,z).
L(K(x,y),y,z) = K(x,y).
L(K(x,y),x,z) != u | K(x,y) = u.
R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w.
L(K(x,y),y,z) = K(x,y * K(x,y)).
K(x,(y \ z) \ 1) = K(x,z \ y).
a(x,y,K(z,y)) = 1.
(x * y) * K(z,y) = x * (y * K(z,y)).
T(K(x,y / z),y) = K(x,z \ y).
T(x,(y \ z) \ 1) = T(x,z \ y).
K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1).
K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w).
R(x,y \ z,K(u,z \ y)) = x.
(x * (y * K(z,y))) * z = (x * y) * T(z,y).
K(x,x / y) = K(x,y \ x).
T(x,y) != K(z,u \ y) | K(z,y / u) = x.
K(x,(y \ z) \ z) = T(K(x,y),z).
K(x,(y \ z) \ 1) != u | K(x,z \ y) = u.
K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1).
x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x).
((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z).
((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z).
K(x,(y \ x) \ x) = K(x,y).
R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y).
K(x,T(y,y \ z)) = T(K(x,y),z).
K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w.
T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z).
K(x,(x * y) / z) = K(x,(z / y) \ x).
K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u.
T(K(x,y),y * z) = K(x,T(y,z)).
K(((x \ 1) * y) \ y,z) = T(K(x,z),y).
L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)).
T(K(x / y,z),x) != u | K(y \ x,z) = u.
K((x / y) \ z,x) = K((y \ x) \ z,x).
K(T(x,x \ y),y) = K(x,y).
T(K(x,y),x * z) = K(T(x,z),y).
K(L(x,x \ 1,y),z) = K(x,z).
x \ T(x * K(y,z),x) = K(T(x / y,x) \ x,z).
R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)).
R(x,y * K(z,y),z) = R(x,y,T(z,y)).
R(x,y \ z,T(y,y \ z)) = R(x,z / y,y).
K(x,(y * z) \ (y * x)) = K(x,z \ x).
L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)).
L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u).
K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y).
K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y).
T((x \ y) * (y \ x),z) = (x \ y) * (y \ x).
K(x,(y \ z) \ x) = K(x,z \ (y * x)).
L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w).
K(x,L(y,z / y,u)) = L(K(x,y),z,u).
K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u.
K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1.
L(K(x,y),z * y,u) = K(x,L(y,z,u)).
K(L(x,y / x,z),u) = L(K(x,u),y,z).
K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))).
L(K(x,y),z * x,u) = K(L(x,z,u),y).
L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z).
K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w.
L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y).
(x * (y * z)) / K(L(y,z,x),z) = x * (z * y).
K(L(x \ y,x,z),y) = K(x \ y,y).
L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z).
L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u).
L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u).
L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z).
K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w.
L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w.
K((x \ y) \ z,z) = K(y \ (x * z),z).
K((x \ 1) \ y,y) = K(x * y,y).
x \ (y * ((z \ (y \ x)) * z)) = K((y * z) \ x,z).
L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y).
K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z).
L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z).
K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w.
K((x * y) \ z,y) = K((y * x) \ z,y).
K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u).
L(x,y,z \ 1) != K((z \ 1) * y,u) | K(z \ y,u) = x.
1 / K((x * y) \ z,x) = K(x,(y * x) \ z).
K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)).
K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y).
K(x,(y * x) \ z) = K(x,(x * y) \ z).
K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y).
K((x * (y / x)) \ z,y) = K(y \ z,y).
T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x).
K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y).
K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)).
T(x,(y \ z) * (z \ y)) = x.
T(x,y * ((z * y) \ z)) = x.
K(x,y * ((z * y) \ z)) = 1.
(x * y) * K(x,z) = x * (y * K(x,z)).
L(K(x,y),z,x) = K(x,y).
T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y).
R(x,y,K(x,z)) = x.
(x * K(y,x)) \ (T(x,z) * K(y,x)) = K(x,z).
K(L(x,y,x),z) = K(x,z).
L(K(x,y),z,x) = u \ (u * K(x,y)).
K(x,L(y,z,x)) = K(x,y).
K(x,(x * y) \ z) = K(x,y \ (x \ z)).
T((x * y) / x,T(x,z)) = T(y,K(x,z)).
R(T(x,y),z,K(x,u)) = T(x,y).
(K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)).
R(K(x,y),z,K(y,u)) = K(x,y).
L(x,y,x) * K(x,z) = L(T(x,z),y,x).
K(T(x / (x / y),x),z) = K(y,z).
L(K(x,y),z,x) != u | K(x,y) = u.
K(x,L(y,z,x)) = 1 / K(y,x).
K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)).
K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)).
K(x,(y * x) \ z) = K(x,y \ (x \ z)).
T(T(x,y),K(y,z)) = T(x,T(y,z)).
T(T(x,K(y,z)),y) = T(x,T(y,z)).
R(T(x,y),z,T(x,u)) = R(T(x,y),z,x).
L(K(x,y),z,K(x,u)) = K(x,y).
T(K(x,y) * z,K(x,y)) = z * K(x,y).
T(x * K(y,z),K(z,y)) = K(y,z) * x.
(K(x,y) \ z) * K(x,y) = T(z,K(x,y)).
(K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)).
K(x,y) * L(x,z,x) = L(T(x,y),z,x).
K((x \ y) \ y,z) = K(T(x,y),z).
K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u.
K(L(x,y,x),z) != u | K(x,z) = u.
K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)).
T(K(x,y),z) = K(T(x,z),y).
K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)).
K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u.
T(x,T(y,T(x,z))) = T(x,y).
R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)).
K(x,L(y,z,K(x,u))) = K(x,y).
x / K(y,z) = x * K(z,y).
(x * K(y,z)) * K(z,y) = x.
T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u.
T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u.
L(K(x,y),z,K(u,x)) = K(x,y).
K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)).
(x * K(y,z)) \ x = K(z,y).
(x * T(y,z)) * K(z,y) = x * y.
(K(x,y) * K(y,z)) * K(y,x) = K(y,z).
(x * (y * z)) * K(z,L(y,z,x)) = x * (z * y).
x * K(y,z) != u | u * K(z,y) = x.
(x * K(y,z)) * K(z,y) != u | u = x.
(x * K(y,z)) \ x != u | K(z,y) = u.
R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w.
(x * K(y,z)) * T(z,y) = x * z.
K(x,L(y,z,K(u,x))) = K(x,y).
(x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u).
K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w.
(K(x,y) * z) \ z = T(K(y,x),z).
(x * T(x \ y,z)) \ y = K(z,x \ y).
(x * (y * K(z,y))) \ (x * y) = K(y,z).
(x * (y \ z)) * K(y,z / y) = x * (z / y).
(x * T(y,z)) * T(z,y) = (x * y) * z.
R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w.
(x * T(x \ y,z)) \ y != u | K(z,x \ y) = u.
(x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u.
(x * K(y,z)) * z = (x * z) * K(y,z).
(x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w).
(x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w).
(x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z).
((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)).
(x * ((y \ (x \ z)) * y)) \ z = K(y,(y * x) \ z).
1 / (x * K(y,x)) = K(x,y) / x.
(x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y).
((x * y) / T(z,y)) * z = x * T(y,z).
(x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u).
(((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)).
(x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)).
(x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x).
(x * K(y,z)) \ (x * (z * K(y,z))) = z.
L(T(x,K(y,x)),K(y,x),z) = x.
L(x,K(y,x),z) = x.
(x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u).
((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)).
((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u).
((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u.
(x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) = K(z,((x / y) * L(y,u,w)) \ (x * L(y,u,w))).
K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)).
((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u).
(x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u).
(x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x).
(x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z).
(x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u).
(x * (y * K(z,u))) * L(K(u,z),y,x) = x * y.
L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u).
(x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x).
L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z).
(x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y.
K((x * y) \ (z * y),y) = K(x \ z,y).
(x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)).
K(x,(y * x) \ (z * x)) = K(x,y \ z).
K(x,(x * y) \ (z * x)) = K(x,y \ z).
K(x,(y / x) \ z) = K(x,y \ (z * x)).
K(x,(x \ y) \ z) = K(x,y \ (z * x)).
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u).
K(x,y \ (((x \ y) * z) * x)) = K(x,z).
K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)).
K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u).
(x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y).
K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z).
T(x * K(y,x),T(z,x)) = T(x * K(y,x),z).
K(T(x,K(y,z)),y) = K(x,y).
(K(x,y) * z) * K(T(y,z),x) = z.
x * K(T(y,x),z) = K(z,y) \ x.
x * K(T(y,x),z) = K(y,z) * x.
T(K(x,y),z) \ 1 = K(y,T(x,z)).
K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y).
x * K(y,T(z,x)) = K(y,z) * x.
K(x,T(y,K(z,x))) = K(x,y).
(K(x,y) * z) * K(y,T(x,z)) = z.
K((x * y) / x,z) * x = x * K(y,z).
(K(x,y) * z) \ (T(x,y) * z) = T(x,z).
(x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u.
T(K(x,y),z) = K(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
K(x,T(y,z)) != u | T(K(x,y),z) = u.
K(x / y,T(z,x)) = K(y \ x,z).
x * T(K(x,y),z) = T(x,T(y,z)).
L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)).
K(x,T(y,y \ z)) = K(x,T(y,z)).
K(x,(y \ z) \ z) = K(x,T(y,z)).
K((x \ y) \ y,z) = K(x,T(z,y)).
R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)).
K(x,K(y,z)) * K(z,y) = K(z,T(y,x)).
K(T(x,y),z) = K(x,T(z,y)).
K(x,T(y,x * z)) = K(T(x,z),y).
K(x,T(y / z,y)) = K(x,z \ y).
K(x,T(y,K(x,z))) = K(x,y).
K(x,T(y,R(x,z,u))) = K(x,y).
T(K(x,T(y,z)),u) = K(x,T(T(y,u),z)).
L(K(x,T(y \ z,u)),y \ z,y) = K(x,T(z \ y,u) \ 1).
T(x,(y \ z) \ z) = T(x,T(y,z)).
K(x,T(y,z \ 1)) = K(x,T(y,z \ y)).
K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)).
T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x.
K(x,y) * T(x,K(y,z)) = T(x,T(y,z)).
K(x,y) * (z * K(y,T(x,z))) = z.
K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1).
K((x * y) / x,T(z,x)) = K(y,z).
T(x,K(x,y) * z) = T(x,z).
(T(x,y) * (x \ z)) \ (T(x,y) * z) = T(x,z).
(x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w.
K(x * y,K(x,z)) = K(y,K(x,z)).
K(x,K(y,z)) * T(x,y) = T(x,T(y,z)).
T(x,y) * K(x,K(y,z)) = T(x,T(y,z)).
x * K(T(x,y),z) = T(x,T(z,y)).
K(x,T(y,x \ y)) = K(x,y).
K(x,T(y,x \ z)) = T(K(x,y),z).
K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)).
K(T(x,y),z / y) = K(x,y \ z).
K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w).
a(x,y,K(z,T(y,u))) = 1.
T(x,K(y,x) * z) = T(x,z).
K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y).
K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y).
K(x,T((y / z) \ 1,z)) != u | K(x,y \ z) = u.
K(x,T(y,T(z,x))) = K(x,T(y,z)).
K(x,T(y,x \ z)) = K(x,T(y,z)).
(x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)).
(x * ((y * z) / y)) / z = x * K(y,z).
L(K(x,T(y,z)),y,u) = K(x,T(y,z)).
K(T(x,y),z \ 1) = K(x,y \ (z \ y)).
K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)).
T(x,y) * K(K(x,y),z) = T(x,T(y,z)).
L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)).
R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)).
K(x,T(y,x * z)) = K(x,T(y,z)).
T(x,y * K(z,x)) = T(x,y).
K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u.
R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)).
T(x,T(y,x \ y)) = T(x,y).
K(x,T(y \ 1,z)) = K(x,z \ (y \ z)).
K(K(x,y),z) = K(x,K(y,z)).
R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)).
K(x * y,K(x,z)) = K(K(z,x),y).
K(x \ y,K(x,z)) = K(y,K(x,z)).
T(x,y * K(x,z)) = T(x,y).
K(x,y * K(x,z)) = x \ T(x,y).
T(x,y * (z / x)) = T(x,y * (x \ z)).
K(x,T(y,z * K(x,u))) = K(T(x,z),y).
K(x,y * K(x,z)) = K(x,y).
K(x,y * K(x,z)) != u | K(x,y) = u.
K(x,T(y,z * K(x,u))) = K(x,T(y,z)).
K(x,y * x) = K(x,x * y).
K(x,K(y,x * K(y,z))) = 1.
K(x,y * K(z,x)) = K(x,y).
K(x,K(x,y) * z) = K(x,z).
K(x,K(y,x) * z) = K(x,z).
L(K(x,y),y,z) != u | K(x,y) = u.
K(x,T(y,z * (u / x))) = K(x,T(y,z * (x \ u))).
K(x,T(y,K(x,z) * u)) = K(x,T(y,u)).
K(x * K(y,z),z) = 1 / K(z,x).
K(x,K(y,x) \ z) = K(x,z).
K(x,T(x,y) * z) = K(x,x * z).
K(x,T(y,x) \ z) = K(x,y \ z).
K(x,R(K(x,y),z,u) * w) = K(x,w).
K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u.
K(x * K(y,z),z) = K(x,z).
K(x * K(y,z),z) != u | K(x,z) = u.
K(x,K(R(x,y,z),u) * w) = K(x,w).
K(x * y,y) = K(y * x,y).
K(x * K(y,z),y) = K(x,y).
K(K(x,y) * z,x) = K(z,x).
K(K(x,y) \ z,x) = K(z,x).
K((x \ 1) \ y,y) = K(y * x,y).
K((1 / x) \ y,y) = K(y * x,y).
K(x * (y \ 1),x) = K(y \ x,x).
K(x \ T(y,z),z) != u | K(x \ y,z) = u.
K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z).
K(R(K(x,y),z,u) * w,x) = K(w,x).
L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y).
K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u.
K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w).
K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w).
K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u).
K(K(R(x,y,z),u) * w,x) = K(w,x).
K(L(x,K(y,z),u),y) = K(K(y,z) * x,y).
K(x \ (y \ (z * y)),y) = K(x \ z,y).
K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w).
K(x,K(y,z)) = K(z,K(y,x)).
K(x * y,K(x,z)) = K(z,K(x,y)).
K(x,y) * K(x,K(y,z)) = T(K(x,y),z).
K(x,K(y,z)) * K(x,y) = T(K(x,y),z).
K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u.
K(x,K(y,z)) \ 1 = K(z,K(x,y)).
x * K(y,K(z,x)) = T(x,K(z,y)).
K(x,K(y,z)) != u | K(z,K(y,x)) = u.
K(K(x,y) * z,K(x,u)) = K(K(z,x),u).
K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)).
K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)).
K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)).
T(x,T(y,y / x)) = T(x,y).
K(x,(y * z) \ z) = K(x,z \ (y \ z)).
K(x,K(y,z)) != u | K(K(x,y),z) = u.
K(x,K(y,z)) * T(z,y) = T(z,T(y,x)).
K(x,y) * K(x,K(y,z)) = K(x,T(y,z)).
T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)).
T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y).
K(x,K(y,z)) = K(y,K(x,z)).
K(K(x,y),z) = K(y,K(z,x)).
K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)).
K(K(x,y) * z,K(x,u)) = K(z,K(x,u)).
K(x,K(y,y * z)) = K(x,K(y,z)).
K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)).
T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z).
T(x,K(y,y * z)) = T(x,K(y,z)).
K(x,K(y,z \ 1)) = K(x,K(y,z \ y)).
K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u.
T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w.
T(K(x,y),T(z,K(y,u))) = T(K(x,y),z).
K(K(x,y),z) = K(y,K(x,z)).
K(x,K(y,z)) = K(z,K(x,y)).
K(x,K(x \ y,z)) = K(y,K(x,z)).
K(x,K(y,K(x,z) * u)) = K(y,K(x,u)).
K(x,K(y,z)) * K(y,x) = T(K(y,x),z).
x * K(y,K(z,x)) = T(x,K(y,z)).
K(x,K(y,z)) != u | K(z,K(x,y)) = u.
T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)).
T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z).
K(x,K(y,z)) = K(x,K(z,y)).
K(x,K(y,z)) * z = T(z,K(x,y)).
K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w.
K(x,K(y,z)) * K(y,x) = K(y,T(x,z)).
K(x,y) * K(z,K(x,y)) = T(K(x,y),z).
K(x,y) * K(z,K(x,y)) = K(x,T(y,z)).
K(x,K(x \ y,z)) = K(z,K(x,y)).
K(x,K(y,K(x,z) * u)) = K(x,K(y,u)).
T(x,K(y,z)) = T(x,K(z,y)).
T(K(x,y),z / K(u,y)) = T(K(x,y),z).
K(x,y) * K(x,K(z,y)) = K(x,T(y,z)).
T(x,y) * K(y,T(x,z)) = T(x,K(y,z)).
R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))).
K(x,T(y,z)) * z = z * K(x,y).
T(K(x,T(y,z)),z) = K(x,y).
T(K(x,y) * z,K(y,x)) = z * K(x,y).
T(x * K(y,z),K(y,z)) = K(y,z) * x.
T(T(x,K(y,z)),K(y,z)) = x.
T(x,y) * K(y,T(x,z)) = x * K(x,K(y,z)).
T(x,y) * K(y,T(x,z)) = T(x,K(y,y \ z)).
x * T(x \ y,T(z,y)) = y * K(y / x,z).
K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1).
K(x,T(T(y,z),z)) = K(x,y).
K(T(x,y),T(z,y)) = K(x,z).
K(x \ y,T(z,y)) = K(y / x,z).
T(x,T(y,z)) * z = x * (z * K(x,y)).
R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u).
(x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z.
K(x,T(y \ z,z)) = K(x,z / y).
R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w).
T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x).
T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z).
K(x,y) * z != u | T(z,K(x,y)) * K(x,y) = u.
T(x,y) * K(y,T(x,z)) != u | T(x,K(y,z)) = u.
T(x,T(T(y,z),z)) = T(x,y).
x * K(T(x,y),T(z,y)) = T(x,z).
K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w).
K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w).
K(x \ y,T(z,x)) = K(y / x,z).
K(T(x,y),y \ z) = K(x,z / y).
K(x * T(x \ y,y),z) = K(y,T(z,x \ y)).
K(x * K(y,x),z) = K(x,T(z,y)).
R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)).
K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5.
L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)).
K(x,T(y,z)) * (z * K(y,x)) = z.
T(x,(y * z) / y) = T(x,T(z,y)).
R(K(x,y),y,z) = K(x,y).
(K(x,y) * y) * z = K(x,y) * (y * z).
R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)).
(x * K(y,x)) * z = K(y,x) * (x * z).
K(x,y) * (y * z) = ((x * y) / x) * z.
(x * K(y,x)) * z = x * (K(y,x) * z).
((x * y) / x) * (y \ z) = K(x,y) * z.
((x * y) / x) * z = y * (K(x,y) * z).
K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z.
(x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z).
L(x,K(y,z),z) = x.
K(x,y * K(z,x)) != u | K(x,y) = u.
K(x,y \ T(z,x)) != u | K(x,y \ z) = u.
K(x,y \ R(T(z,x),u,w)) != v5 | K(x,y \ R(z,u,w)) = v5.
K(x,y \ (x \ (z * x))) != u | K(x,y \ z) = u.
K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)).
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)).
(x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x).
L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w).
K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z).
K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)).
K(x,y) * (K(z,x) * (K(x,y) \ u)) = T(K(z,x) * T(u,K(x,y)),K(x,y)).
L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z).
K(x,T(y \ (x * z),z)) = K(x,(x * z) / y).
K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)).
R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w).
R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)).
R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u).
(x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z.
K(T(x,R(y,z,u)) * w,y) = K(x * w,y).
K(L(x,K(y,z),u),y) = K(x,y).
K(x * y,K(y,z)) = K(y * x,K(y,z)).
R(x,K(y,z) * u,K(u,K(y,w))) = x.
L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y).
K(x,(x * y) / z) = K(x,y / (x \ z)).
K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z).
K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)).
K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)).
x * T(x \ y,T(z,x)) = y * K(y / x,z).
K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))).
K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))).
K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)).
K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5.
L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y).
K(x,y * K(z,R(x,u,w))) = K(x,y).
K(x,K(y,z * K(u,x))) = K(x,K(y,z)).
R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1.
T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)).
K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w).
K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)).
K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1.
K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)).
K(T(x,y),T(z,y)) != u | K(x,z) = u.
K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)).
L(x,K(y,z),z) != u | u = x.
(x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u.
T(x \ y,T(z,y)) = T(x \ y,T(z,x)).
K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))).
K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)).
(R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w).
L(K(x,y),x * z,u) = K(L(x,z,u),y).
K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)).
K(x,y / (x \ z)) = K(x,(z / y) \ x).
K(x,(x \ y) / (x \ z)) = K(x,y / z).
L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y).
R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1.
K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5.
K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5.
K(T(x,y),y \ z) != u | K(x,z / y) = u.
K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5.
K(x,T(T(y,z),z)) != u | K(x,y) = u.
K(T(x,y),z) != u | K(x,T(z,y)) = u.
K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w.
K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u).
K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)).
K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))).
K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z).
L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)).
T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)).
K(x,((x * y) / z) \ x) = K(x,z / y).
L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z).
L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w.
R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5.
K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5.
K(x,T(y \ z,y)) != u | K(x,z / y) = u.
K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5.
K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5.
K(x \ y,T(z,y)) != u | K(y / x,z) = u.
T(K(x,y),z) != u | K(x,T(y,z)) = u.
K(x,T(y,x * z)) != u | K(x,T(y,z)) = u.
K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u.
K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)).
K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)).
L(K(x,y),K(z,x),u) = K(x,y).
L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5.
R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z).
K(R(x,y / x,z),u) = R(K(x,u),y,z).
R(K(x,y),z * x,u) = K(R(x,z,u),y).
K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)).
K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)).
R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w.
K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w.
K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u.
K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u.
K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u.
K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u.
(x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)).
(x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)).
K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)).
K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)).
K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)).
(T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u.
K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u.
K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u.
R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1.
((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y).
K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z).
(x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w.
R(x,K(y,z),R(z,u,w)) = x.
(x / ((y * z) / y)) * K(y,z) = x / z.
L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u).
L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w.
L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w.
L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w.
K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w.
K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))).
(x * (K(y,z) * u)) / (x * u) = K(y,(x * u) / (x * (z \ u))).
R(K(x,y),z * y,u) = K(x,R(y,z,u)).
K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5.
K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y).
K(x * y,K(y,z)) = K(x,K(y,z)).
R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u).
K((x * K(y,z)) \ u,y) = K(x \ u,y).
K(x,K(y \ x,z)) = K(y,K(y \ x,z)).
x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y).
K(L(x,y,z),z) = K(x,z).
L(K(x,y),z,y) = K(x,y).
K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z).
K((x * y) \ z,x) = K(y \ (x \ z),x).
K((x \ y) \ z,x) = K(y \ (x * z),x).
K((x \ 1) \ y,x) = K(x * y,x).
K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y).
K(x,L(y,z,y)) = K(x,y).
K((x \ y) \ (x \ z),x) = K(y \ z,x).
((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x).
K((x * y) \ z,y) = K(x \ (y \ z),y).
T(L(x,y,x),z) * K(z,x) = L(x,y,x).
x \ T(x * y,x) = y * K(x * y,x).
L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x).
L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x).
K(x \ (x * y),x) = K(K(z \ x,z) * y,x).
K((x \ y) \ z,x) = K(y \ (z * x),x).
(x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y.
K((x * y) \ (z * y),y) != u | K(x \ z,y) = u.
T(x,x * y) * K(y,x) = L(x,y,x).
K(x,y) * K(y,y * x) = y \ L(y,x,y).
K(x,y) * K(y,x * y) = y \ L(y,x,y).
(x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y).
K(K(x \ y,x) * z,y) = K(z,y).
(x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y).
(K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y).
K(x \ ((y \ z) * y),y) = K(x \ z,y).
K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y).
T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x).
K(x,y) * T(z,x * y) = T(K(x,y) * z,x * y).
T(x,y * z) * K(z,y) = T(x * K(z,y),y * z).
(x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z).
(x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z).
K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x).
K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x).
L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))).
L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)).
K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x).
(x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z).
(x * y) * T(z * K(y,x),x * y) = z * (y * x).
(x * K(y,z)) * (z * y) = x * (y * z).
(x / (y * z)) * K(y,z) = x / (z * y).
K(x,y / (z * x)) = K(x,y / (x * z)).
K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))).
K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)).
K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)).
K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u.
R(x,T(K(y,z),u),u) = R(x,K(y,z),u).
R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u).
K(x,K(y \ x,z)) = K(z,K(y,x)).
K(x,K(y,z \ y)) = K(x,K(z,y)).
K(x,K(y,z \ 1)) = K(x,K(z,y)).
K(x,K(y,z \ (u * y))) = K(x,K(u \ z,y)).
K(x,K(y,(z * u) \ (y * y))) = K(x,K(z * (u / y),y)).
K(x,K(y,z \ 1)) = K(x,K(y,z)).
K(x,K(y \ z,u)) = K(x,K(u,z \ y)).
T(x,K(y,z \ 1)) = T(x,K(y,z)).
K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)).
T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)).
K(x,K(y * (z / u),u)) = K(x,K(u,(y * z) \ u)).
K(x,K(y * (z / u),u)) = K(x,K(y * z,u)).
T(x,T(y,z \ 1)) = T(x,T(y,z)).
K(x,y) * K(x,K(z * u,y)) = K(x,T(y,z * (u / y))).
K(x,T(y,z * (u / y))) = K(x,T(y,z * u)).
K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)).
K(x,T(y,z * (y \ u))) = K(x,T(y,z * u)).
K(T(x,y * (x \ z)),u) = w / (K(u,T(x,y * z)) * w).
K(T(x,y * (x \ z)),u) = K(T(x,y * z),u).
K(T(x,y * (x \ z)),u) = K(x,T(u,y * z)).
K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)).
K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w.
K(x,T(y,z * (u / x))) = K(x,T(y,z * u)).
K(x,T(y,z * x)) = K(x,T(y,z)).
K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)).
K(x,T(y \ (z * x),z)) = K(x,(z * x) / y).
(x * y) * K(y,T(z,x)) = K(y,z) * (x * y).
K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)).
K(x,y) * (z * x) = z * T(x,T(y,z)).
K(x,T(y,z)) * (z * x) = z * T(x,y).
(x * T(y,z)) / T(x,y) = T(y,T(z,x)).
T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y).
T(x,T(y,z \ 1)) = x * K(x,T(y,z)).
K(x,T(y,z \ 1)) = K(x,T(y,z)).
K(x,T(y,z \ u)) = K(x,T(y,u \ z)).
K(x,T(y,z \ x)) = K(x,T(y,z)).
K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u.
(x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z).
R(x,K(y,z),K(z,u)) = x.
(x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)).
(x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)).
K(x * y,T(z,y)) = K(x * y,T(z,x)).
K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w.
K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y).
K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y).
T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)).
T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)).
K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)).
K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)).
K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y).
K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w).
T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y).
T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u).
T(x,K(y,z)) * K(y,u) = T(x * K(y,u),K(y,z)).
K(x,y) * T(z,K(y,u)) = T(K(x,y) * z,K(y,u)).
K(x,y) * (K(z,x) * (K(x,y) \ u)) = T(T(K(z,x) * u,K(x,y)),K(x,y)).
K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u.
R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u).
R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u).
T(K(x,y),z * K(y,u)) = T(K(x,y),z).
T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)).
(x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)).
T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)).
(T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x).
(x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x).
K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z).
K((K(x,y) * z) \ u,y) = K(z \ u,y).
K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z).
R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)).
R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)).
(x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z.
(x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z).
(x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u).
(x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u).
K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y).
(x * y) \ (y * T(x,z)) = K(y,x) * K(x,z).
(L(x,y,z) \ x) \ x = L(x,y,z).
a(x,x,y) * L(y,x,x) = y.
a(L(x,y,y),z,u) = a(x,z,u).
K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u).
T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z).
K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u.
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w.
R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u).
R(K(x,y),R(T(x,z),u,w),v5) = K(x,y).
K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w).
K(x,R(T(x,y),z,u) * (w \ 1)) != v5 | K(x,w \ R(T(x,y),z,u)) = v5.
R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5.
R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5.
K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w).
K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y).
(x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y).
R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)).
(x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w.
(x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)).
(x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u.
(x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)).
x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)).
K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y).
T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u.
K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)).
K(x,R(x,y,z) * (u \ 1)) != w | K(x,u \ R(T(x,v5),y,z)) = w.
K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)).
(x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x).
K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)).
T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)).
T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)).
a(1 / x,y,z) = a(x \ 1,y,z).
x / ((y * z) / y) = (x / z) * K(z,y).
(x / (y \ z)) * K(y \ z,y) = x / (z / y).
(x * y) / ((z * y) / z) = x * K(y,z).
K(x,y / (z / x)) = K(x,y / (x \ z)).
K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)).
K(x,(x \ y) / (z / x)) = K(x,y / z).
K(x,(x \ y) / z) = K(x,y / (z * x)).
(x / (y * K(z,y))) * y = x * K(y,z).
K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)).
K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5.
K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w.
R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))).
R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))).
R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)).
K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)).
K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)).
K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)).
K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y).
K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y).
K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)).
K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)).
K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)).
K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))).
K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))).
K(x,T(y,a(x,z,u))) = K(x,y).
T(x,T(y,a(x,z,u))) = T(x,y).
(T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x).
(x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)).
L(K(x,y),K(y,z),u) = K(x,y).
L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)).
K(a(x,y,z),T(x,u)) = K(a(x,y,z),x).
K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z).
L(K(x,T(y \ z,u)),y \ z,y) != w | K(x,T((z \ y) \ 1,u)) = w.
K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)).
K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u).
x \ T(x * K(y,z),x) = K(y,x / T(z \ x,x)).
x \ T(x * K(y,z),x) = K(y,T(x / z,x) \ x).
K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x).
K(x,y / (x / (z \ 1))) = K(x,y / (x * z)).
x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))).
K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u.
K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u.
K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)).
K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)).
K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)).
K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)).
K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)).
K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x).
K(a(x,y,z),x) = 1.
T(a(x,y,z),x) = a(x,y,z).
a(x,y,z) * x = x * a(x,y,z).
x * a(x,y,z) != u | a(x,y,z) * x = u.
((x * a(x,y,z)) * (x \ u)) / u = R(a(x,y,z),x,x \ u).
K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)).
K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)).
K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)).
((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)).
(T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)).
(1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1).
(x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y).
(x \ T(y,x)) * ((x \ y) \ 1) = K(y,x).
(x \ T(x * y,x)) * (y \ 1) = K(x * y,x).
(x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x).
K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y).
K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y).
(x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)).
(x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)).
x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)).
K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)).
a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y).
K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)).
a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)).
a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y).
a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)).
a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)).
a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)).
a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u).
K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)).
(x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y).
(x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)).
K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)).
K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)).
K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)).
K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)).
K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)).
K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y).
K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y).
L(K(x,y),L(y,z,u),w) = K(x,y).
K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y).
K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z).
((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x).
((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)).
((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)).
((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x).
(x * a(x,y,z)) * (x \ u) = a(x,y,z) * u.
(T(x,y) * z) / T(x,z) = T(x,y) * (x \ z).
(T(x,y) * (x \ z)) * x = T(x,y) * T(z,x).
T(x,y) * (x \ T(z,x)) = T(T(x,y) * (x \ z),x).
(K(x,y) * z) * x = T(x,y) * T(z,x).
(K(x,y) * z) * x = K(x,y) * (z * x).
K(x,y) * T(z,x) = T(K(x,y) * z,x).
L(x,y,K(x,z)) = x.
R(K(x,y),z,x) = K(x,y).
K(R(x,y,x),z) = K(x,z).
x * K(R(x,y,x),z) = T(x,z).
K(x,R(y,z,y)) = 1 / K(y,x).
R(x,y,x) * K(x,z) = R(T(x,z),y,x).
((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x).
K(x,R(y,z,y)) = K(x,y).
K(x,R(y,z,y)) != u | K(x,y) = u.
T(x,R(y,z,y)) = T(x,y).
R(K(x,y),z,y) = K(x,y).
R(x,y,x) * K(z,x) = R(x * K(z,x),y,x).
T(x / R(y,z,y),y) = R(y,z,y) \ x.
T(x,(y * z) / y) = T(x,y / (y / z)).
(K(x,y) * z) * y = K(x,y) * (z * y).
K(x,y) * R(y,z,y) = R(y * K(x,y),z,y).
R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u).
(x / R(y,z,y)) * y = y * (R(y,z,y) \ x).
T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y).
R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x).
T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x).
L(x,y,K(z,x)) = x.
x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z).
R(x,y,x) * R(K(z,x),u,w) = R(x * R(K(z,x),u,w),y,x).
T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y).
T(x,x * y) \ T(x,y) = x \ R(x,y,x).
(K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)).
T(x,y) * K(z,y) = T(x * K(z,y),y).
K(x,y) * T(K(x,y) \ z,x) = T(z,x).
L(K(x,y),z,K(u,y)) = K(x,y).
R(K(x,y),z,R(x,u,w)) = K(x,y).
K(L(x,y,K(z,u)),u) = K(x,u).
K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y).
K(x \ (K(y,z) * u),y) = K(x \ u,y).
T(x,y) * K(y,z) = T(x * K(y,z),y).
K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z.
K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u.
K(x * y,x) * K(x,y) = x \ R(x,y,x).
T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x).
K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)).
K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x).
K(x,(y * K(x,z)) \ u) = K(x,y \ u).
K(R(x,y,R(x,z,u)),w) = K(x,w).
K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))).
T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x).
T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x).
K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)).
K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x).
T(x,(y * K(x,z)) \ u) = T(x,y \ u).
K(x,(y * K(z,x)) \ u) = K(x,y \ u).
K(x,(y * (z * x)) \ u) = K(x,(y * (x * z)) \ u).
K(x,(K(x,y) * z) \ u) = K(x,z \ u).
K(x,(K(y,x) * z) \ u) = K(x,z \ u).
K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)).
K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)).
((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y).
T(T(x,y),T(x,z) \ u) = T(T(x,y),x \ u).
K(x,(y * K(z,x)) \ u) = (y * T(y \ u,x)) \ u.
K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)).
K(x,y \ (K(x,z) * u)) = K(x,y \ u).
K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w).
((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u).
K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w.
K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u).
K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)).
K(x,y \ (z * K(x,u))) = K(x,y \ z).
T(T(x,y),x \ z) = (T(x,y) \ z) \ z.
K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)).
K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))).
K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))).
T(T(x,x \ y),z) = (T(x,z) \ y) \ y.
(x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x).
K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)).
K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))).
K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))).
K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)).
K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)).
K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))).
K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)).
K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)).
K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)).
K(x,y \ ((x \ y) * z)) = K(x,x \ z).
K(x,x \ (y * z)) = K(x,y * (x \ z)).
K(x,x \ ((x \ y) \ z)) = K(x,y \ z).
(x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y).
K(x,(x * y) \ z) = K(x,x \ (y \ z)).
K(x \ (y * z),x) = K(y * (x \ z),x).
K(x,y \ (x \ z)) = K(x,x \ (y \ z)).
K(x,y \ (x \ (y * z))) = K(x,x \ z).
K(x,y \ (x \ (y * (z * x)))) = K(x,z).
K(x,L(y,x,z)) = K(x,y).
T(x,L(y,x,z)) = T(x,y).
L(K(x,y),x * y,z) = K(x,y).
K(R(x,x \ 1,y),L(z,x,u)) = K(x,z).
L(K(x,y),z,y * x) = K(x,y).
(x * (y * z)) * K(z,y) = x * (z * y).
(x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x).
K(L(x,y,z),y) = K(x,y).
R(x,y * z,K(z,y)) = x.
K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1).
K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w.
K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y).
T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y).
T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y).
K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)).
K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)).
K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)).
K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)).
K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)).
K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5.
K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)).
K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)).
K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)).
K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)).
K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)).
L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z).
(x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x).
L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z).
L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z).
L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z).
((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u.
K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u.
K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x).
L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)).
L(K(x,y),z,y * x) = K(x,R(y,x,z)).
K(x,R(y,x,z)) = K(x,y).
K(x,R(y,x,z)) = K(x,T(y,x)).
T(x,R(y,x,z)) = T(x,y).
K(x,R(y,x,z)) != u | K(x,y) = u.
T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)).
K(x,y / (z * x)) != u | K(x,x \ (y / z)) = u.
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)).
T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y).
T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x).
x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y).
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y).
K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y).
L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x).
L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x).
K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)).
K(x \ K(y,z),y) = K(x \ 1,y).
K(x \ (y * K(z,u)),z) = K(x \ y,z).
K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)).
K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x).
K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y).
K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u).
K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z).
(K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u).
R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)).
K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y).
(K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u).
L(x,K(y,z),K(z,u)) = x.
(K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u).
L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y.
(K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u).
K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))).
K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y).
K(L(x,T(y,z),u),z) = K(L(x,y,u),z).
K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y).
K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)).
K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z).
R(x,y,T(z,y)) = R(x,y,z).
R(x,y / z,z) = R(x,z \ y,z).
L(x,T(y,x),z) = L(x,y,z).
L(x,y / x,z) = L(x,x \ y,z).
L(R(x,y,x),T(y,x),z) = L(R(x,y,x),y,z).
K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w.
(K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y).
K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z.
x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y).
x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x).
x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x).
K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)).
K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)).
K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y).
K((K(x,y) * z) / u,x) = K(z / u,x).
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u).
R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)).
K(x * (y \ 1),y) = K(y \ x,y).
K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1).
(T(x / y,z) \ x) \ x = T(y \ x,z).
K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5.
K(T(x,y),y \ z) = K(x,z / (y * K(u,x))).
K(x,y / (z * K(u,x))) = K(x,y / z).
K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w.
K(x,(K(x,y) * z) / u) = K(x,z / u).
K(x,(y * x) / z) = K(x,(x * y) / z).
K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u.
K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u.
K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x).
K(x,y / (z * K(x,u))) = K(x,y / z).
K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)).
K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)).
K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)).
K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)).
K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))).
K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)).
x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)).
K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)).
K(x,T(y \ z,z)) != u | K(x,z / y) = u.
K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u.
K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5.
K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w).
R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u).
R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)).
K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u).
K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u).
K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)).
K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)).
K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)).
K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x).
K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)).
K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z).
K(x,((x * y) / z) / y) != u | K(x,T(z \ x,y)) = u.
K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))).
K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5.
K(x,(y / z) \ 1) != u | K(x,z / y) = u.
K(x,R(y / x,x * z,u) \ 1) != w | K(x,((x * z) * u) / ((y * z) * u)) = w.
R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)).
R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)).
K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x).
K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)).
K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x).
K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z).
K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)).
K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)).
K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)).
K(x,y / (x * z)) = K(x,x \ (y / z)).
K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))).
K(x,(x \ y) / z) = K(x,x \ (y / z)).
x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)).
K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)).
K(x,x \ ((x * y) / z)) = K(x,y / z).
T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))).
K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)).
K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w.
R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u).
R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z).
R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y.
(R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)).
(R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z).
R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y.
(R(x / y,z,u) \ x) \ x = R(y \ x,z,u).
K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)).
R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)).
T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)).
T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)).
R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)).
L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z).
L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x).
a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u).
a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)).
R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x).
R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z).
K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w).
K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u).
K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u).
K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u).
K(x * K(y,z),x) = K(x,x * K(z,y)).
T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x).
T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x).
R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)).
T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)).
T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)).
T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)).
K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)).
K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))).
K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))).
K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x).
R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)).
K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)).
K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x).
K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u).
R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x).
K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u).
(R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x).
(x * K(y,x)) \ L(x,y,x) = K(x,x * y).
(a(x,y,z) * u) / (x \ u) = x * a(x,y,z).
K(x * y,y \ 1) = K(y * x,y \ 1).
R(R(x,y,z) \ R(R(x,y,z),u,w),R(x,y,z),y * z) = ((R(x,u,w) * y) * z) / ((x * y) * z).
T(x,y * R(x,z,u)) = T(x,x * y).
R(T(x,y / x),x \ 1,y) = ((x \ 1) * y) \ y.
((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x).
(((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x).
1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1.
((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y).
((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x).
K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)).
T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)).
(x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y).
(x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y).
(x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u.
R(T(x * K(y,x),R(x,z,u) * y),z,u) = L(R(x,z,u),y,R(x,z,u)).
R(T(x * K(T(y,x),x),T(x * y,x)),y,x) = L(R(x,y,x),T(y,x),R(x,y,x)).
R(T(x * K(y,x),T(x * y,x)),y,x) = L(R(x,y,x),T(y,x),R(x,y,x)).
R(T(x * K(y,x),T(x * y,x)),y,x) = L(R(x,y,x),y,R(x,y,x)).
R(T(x * K(y,x),x * y),y,x) = L(R(x,y,x),y,R(x,y,x)).
L(R(x,y,x),y,R(x,y,x)) = R(L(x,y,x),y,x).
L(R(x,y,x),y,R(x,y,x)) = x.
K(x,y) != z | K(R(x,u,x),y) = z.
T(x,L(x,y,z) \ x) = x.
a((x \ 1) \ 1,y,z) = a(x,y,z).
((x * y) * z) \ ((x * y) * R(z,x,y)) = a(((x * y) * z) / (x * y),x,y).
((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z * K(x * y,z),x,y).
R(x,y,y \ 1) * R(L(T(y,y \ 1),y \ 1,x * y),z,u) = x * ((x \ R(x,y,y \ 1)) * R((x \ R(x,y,y \ 1)) \ y,z,u)).
R(x,y,y \ 1) * R(L(T(y,y \ 1),y \ 1,x * y),z,u) = x * (a(x,y,y \ 1) * R((x \ R(x,y,y \ 1)) \ y,z,u)).
R(x,y,y \ 1) * R(L(T(y,y \ 1),y \ 1,x * y),z,u) = x * (a(x,y,y \ 1) * R(a(x,y,y \ 1) \ y,z,u)).
R(x,y,y \ 1) * R(L(T(y,y \ 1),y \ 1,x * y),z,u) = x * R(a(x,y,y \ 1) * (a(x,y,y \ 1) \ y),z,u).
R(x,y,y \ 1) * R(L(T(y,y \ 1),y \ 1,x * y),z,u) = x * R(y,z,u).
R(x,y,y \ 1) * L(R(T(y,y \ 1),z,u),y \ 1,x * y) = x * R(y,z,u).
(x * y) * ((y \ 1) * R(T(y,y \ 1),z,u)) = x * R(y,z,u).
(x * y) * (R(y,z,u) * (y \ 1)) = x * R(y,z,u).
(x * y) * (y \ R(y,z,u)) = x * R(y,z,u).
(x / y) * R(y,z,u) = x * (y \ R(y,z,u)).
(x * y) \ (x * R(y,z,u)) = y \ R(y,z,u).
(x * y) \ (y * R(T(x,y),z,u)) = T(x,y) \ R(T(x,y),z,u).
(x \ y) \ R(x \ y,z,u) = y \ (x * R(x \ y,z,u)).
a(x * K(y * z,x),y,z) = x \ R(x,y,z).
(x * y) \ (R(x,z,u) * y) = T(x,y) \ R(T(x,y),z,u).
T(x,y * z) \ R(T(x,y * z),y,z) = (x * (y * z)) \ ((x * y) * z).
T(x,y * z) \ R(T(x,y * z),y,z) = a(x,y,z).
x \ R(x,y,x) = a(x,y,x).
x * a(x,y,x) = R(x,y,x).
R(x,a(y,z,u),w) = x.
L(x,a(y,z,u),w) = x.
a(x,a(y,z,u),w) = 1.
x * a(y,a(z,u,w),v5) = x.
(x * a(y,z,u)) * w = x * (a(y,z,u) * w).
(x * (a(y,z,u) * w)) / w = x * a(y,z,u).
(x * a(y,z,u)) \ (x * w) = a(y,z,u) \ w.
L(x,a(y,z,u),w) = L(x,v5 \ R(v5,v6,v7),v8).
(x * a(y,z,u)) \ w = a(y,z,u) \ (x \ w).
x / (a(y,z,u) \ w) = (x / w) * a(y,z,u).
x / (a(y,z,u) \ 1) = x * a(y,z,u).
(x * (a(y,z,u) * w)) \ ((x * a(y,z,u)) * (w * v5)) = L(v5,w,x * a(y,z,u)).
(x * (y * z)) * (a(x,y,z) * u) = ((x * y) * z) * u.
T((a(x,y,z) * u) \ (w * u),a(x,y,z)) = T(a(x,y,z) \ w,a(x,y,z) * u).
K(x * a(y,z,u),a(y,z,u) \ 1) = T(x,a(y,z,u)) \ x.
a(x,y,x) * x = R(x,y,x).
x \ R(x,x \ y,x) = a(x,y / x,x).
R(x,y,x) / x = a(x,y,x).
a(x,y,x) \ R(x,y,x) = x.
x \ R(x,y,x) != z | a(x,y,x) = z.
x * (a(x,y,x) * z) = R(x,y,x) * z.
a(x,y,x) * (x * z) = R(x,y,x) * z.
K(x * y,x) * K(x,y) = a(x,y,x).
T(x,y) \ R(T(x,y),z,x) = a(x,z,x).
(x * y) * a(y,z,y) = x * R(y,z,y).
K(x,y) * K(y,y \ x) = a(y,x / y,y).
a(x,y,x) * (y * x) = T(x * y,x).
a(x,y,x) * (R(x,y,x) \ z) = x \ z.
(x * y) * a(y,x,y) = T(y * x,y).
a(T(x * y,x),z,u) = a(y * x,z,u).
a(T(x * (y / x),x),z,u) = a(y,z,u).
a(x * (y / x),x,z) = a(y,T(x,y),z).
a(x,y,x) * T(x,z) = R(T(x,z),y,x).
K(x,x * y) * a(x,y,x) = K(x,y).
K(x,y) * K(x * y,x) = a(x,y,x).
K(x,y) * a(y,x,y) = K(y * x,y).
K(x,x * a(y,z,u)) = K(x,a(y,z,u)).
K(x,y) * a(x,x \ y,x) = K(x,x \ y).
K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z.
K(x * y,x) * (K(x,y) * z) = z * a(x,y,x).
a(x,y / x,x) \ K(y,x) = K(x \ y,x).
K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z.
K(x * y,x) * (K(x,y) * z) != u | a(x,y,x) * z = u.
K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z.
K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z.
(x \ L(x,y,x)) * z = a(x,y,x) \ z.
a(K(x \ y,x),z,u) = a(K(y,x),z,u).
L(x,y,K(z \ u,z)) = L(x,y,K(u,z)).
L(x,y,K(z \ y,z)) = x.
L(x,y * z,K(z,y)) = x.
L(x,T(y,z) * z,K(z,y)) = x.
L(x,y,T(z,y)) = L(x,y,z).
x / R(x,y,x) = x \ L(x,y,x).
R(x,y,x) \ x = x \ L(x,y,x).
x \ (x \ L(x,y,x)) = R(x,y,x) \ 1.
x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1).
x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z).
x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y).
R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x).
a(x,y,x) * z = z * a(x,y,x).
x * a(y,z,y) != u | a(y,z,y) * x = u.
T(x,a(y,z,y)) = x.
a(x,y,x) \ (z * a(x,y,x)) = z.
(x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)).
(x * a(y,z,y)) * u = a(y,z,y) * (x * u).
(a(x,y,x) \ z) * a(x,y,x) != u | z = u.
x * R(a(y,z,y),u,w) = a(y,z,y) * x.
(x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w.
L(x,y,z * a(u,w,u)) = L(x,y,z).
(a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u).
T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u).
L(x,y,(y * z) / y) = L(x,y,z).
a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u).
T(x * y,x) / x = y * a(x,y,x).
a(x,y,x) * (z * u) = z * (a(x,y,x) * u).
a(x,y,x) \ (z \ u) = z \ (a(x,y,x) \ u).
R(a(x,y,x),z,u) = (w * v5) \ ((w * a(x,y,x)) * v5).
R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w.
T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u).
a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w.
R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x).
(x \ y) * a(x,x \ y,x) = T(y,x) / x.
(x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y).
(x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y).
(x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w.
x * (a(y,z,y) * (x \ u)) = a(y,z,y) * u.
(x * (a(y,z,y) * u)) \ w = (x * u) \ (a(y,z,y) \ w).
(x \ (a(y,z,y) \ u)) * a(y,z,y) != w | x \ u = w.
R(a(x,y,x),z,u) = (y * w) \ ((T(x * y,x) / x) * w).
T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)).
R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z).
(x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y).
(x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y).
(x * (y * a(z,u,z))) \ w = (x * y) \ (a(z,u,z) \ w).
a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u).
L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))).
L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z).
R(a(x,y,x),z,u) = L(a(x,T(y,w),x),T(y,w),w).
T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u).
(R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y).
(((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y).
((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y).
((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y).
a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u).
a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u).
R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x).
a(x,R(y,z,u),x) = a(x,y,x).
R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y).
R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x).
R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y).
(x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x).
T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x.
T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x.
T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x.
T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x.
T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x.
T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x.
a(x,y,z) * L(z,y,x) = z.
x / L(x,y,z) = a(z,y,x).
a(x,y,z) \ z = L(z,y,x).
L(x,y,z) \ x = a(z,y,x).
(a(x,y,z) * u) \ z = u \ L(z,y,x).
a(x,y,z) * (L(z,y,x) * u) = z * u.
a(L(x,y,z),u,w) = a(x,u,w).
L(x,y,L(z,u,w)) = L(x,y,z).
L(x,y,z) * (x \ u) = a(z,y,x) \ u.
L(x,y,z) * a(z,y,x) = x.
x * (L(x,y,z) \ 1) = a(z,y,x).
L(x,y,z) \ 1 = x \ a(z,y,x).
L(a(x,y,z),L(z,y,x),u) = (u * L(z,y,x)) \ (u * z).
x * a(y,z,u) != u | L(u,z,y) = x.
L(a(x,y,L(z,u,w)),L(L(z,u,w),y,x),w * u) = ((w * u) * L(L(z,u,w),y,x)) \ (w * (u * z)).
T(x,a(y,z,x)) = x.
a(T(x,y),y,z) = L(z,y,x) \ z.
L(x,y,z) * (a(z,y,x) * u) = x * u.
a(x,y,z) \ 1 = z \ L(z,y,x).
L(x,y,z) \ (x * u) = a(z,y,x) * u.
a(x,y,z) * (z \ u) = L(z,y,x) \ u.
x / (y \ L(y,z,u)) = x * a(u,z,y).
x * (y \ L(y,a(z,u,w),v5)) = x.
(L(x,y,x) * z) \ (x * z) = a(x,y,x).
R(a(x,y,z),L(z,y,x) * u,w) = ((z * u) * w) / ((L(z,y,x) * u) * w).
K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)).
R(a(x,y,R(z,u,w)),L(R(z,u,w),y,x),u * w) = ((z * u) * w) / (L(R(z,u,w),y,x) * (u * w)).
(x * y) / L(y,z,u) = x * a(u,z,y).
(x / y) * a(z,u,y) = x / L(y,u,z).
a((x * y) \ z,u,w) = a(y \ (x \ z),u,w).
T((x * (y * z)) / z,a(x,y,z)) = a(x,y,z) \ (x * y).
(x * L(y,z,u)) / y = x / a(u,z,y).
((x * (y * z)) / z) \ (x * y) = a(x,y,z).
T(x,y \ R(y,z,x)) = x.
T(x \ R(x,y,z),z) = x \ R(x,y,z).
a(1 / (x * y),z,u) = a(y \ (x \ 1),z,u).
L(x,K(y,z),L(y,u,w)) = x.
K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u).
(L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w).
K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z).
K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)).
K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u.
K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)).
T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u).
K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z).
L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)).
L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)).
K(L(x,y * z,u),z) = K(x,L(z,x * y,u)).
K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)).
K(x,L(y * ((z * y) \ z),u,w)) = 1.
K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)).
K(x,a(y,z,z \ 1) \ 1) = 1.
K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)).
T(x,a(y,z,z \ 1) \ 1) = x.
K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y).
a(T(x,y),y,z) = a(x,y,z).
a(x * (y / x),x,z) = a(y,x,z).
a(x,T(y,x),z) = a(x,y,z).
a(L(x,y,z),T(u,L(x,y,z)),x) = a(x,u,L(x,y,z)).
(((x * (y * z)) / z) \ (x * y)) * ((x * (y * z)) / z) = K(a(x,y,z),(x * (y * z)) / z) * (x * y).
K(a(x,y,z),(x * (y * z)) / z) * (x * y) = a(x,y,z) * ((x * (y * z)) / z).
x * (L(x,y,x) \ z) = z * a(x,y,x).
T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x).
a(x,y,T(x,z)) = a(x,y,x).
a(x,y,T(x,z)) = x \ R(x,y,x).
a(x,y,T(x,z)) != u | a(x,y,x) = u.
(x * (y * z)) / (L(y,u,w) * z) = x * a(w,u,y).
(x * (a(y,z,u) * w)) \ (x * (a(y,z,u) * (w * v5))) = L(v5,w,x * a(y,z,u)).
L(L(x,y,a(z,u,w)),a(z,u,w) * y,v5) = L(x,y,v5 * a(z,u,w)).
R(x,y,T(z,x * y)) = x * a(x,y,z).
(x * L(y,z,u)) * a(u,z,y) = x * y.
(x / L(y,z,u)) * y = x * a(u,z,y).
(x * L(y,z,u)) \ (x * y) = a(u,z,y).
(x * L(x \ y,z,u)) \ y = a(u,z,x \ y).
L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)).
(1 / x) * a(x \ 1,x,y) = R(1 / x,x,y).
(x * y) * a(R(x,y,z),y,z) = R(x,y,z) * y.
(1 / x) * a(1 / x,x,y) = R(1 / x,x,y).
(x / (y * x)) * y = a(1 / y,y,x).
R(1 / x,x,y) * ((1 / x) \ z) = a(1 / x,x,y) * z.
a(1 / x,x,y) \ (y / (x * y)) = L(x \ 1,x,y / (x * y)).
K(x * a(y,z,u),a(y,z,u) \ 1) = K(a(y,z,u),x).
K(a(x,y,z) * u,a(x,y,z) \ 1) = K(a(x,y,z),u).
K(a(x,y,z),a(x,y,z) \ u) = K(u,a(x,y,z) \ 1).
L(L(x,L(y,z,u),a(u,z,y)),y,w) = L(x,L(y,z,u),w * a(u,z,y)).
L(x,L(y,z,u),w * a(u,z,y)) = L(x,y,w).
L(a(x,y,L(z,u,w)),L(L(z,u,w),y,x),w * u) = (w * (u * L(z,y,x))) \ (w * (u * z)).
L(a(x,y,z),L(z,y,x),u) = a(x,y,z).
(x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)).
L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)).
a(x,y,L(z,u / L(z,y,x),w)) = L(a(x,y,z),u,w).
a(1 / x,x,y) \ (y / (x * y)) = 1 / x.
L(x,L(y,z,y),u) = L(x,y,u).
L(x,L(y,z,y),u) = a(u,y,x) \ x.
a(x,L(y,z,y),u) = a(x,y,u).
(x \ y) * L((x \ y) \ y,z,u) = a(u,z,x) \ y.
(a(x,y,z) \ u) \ u = a(x,y,(z \ u) \ u).
a(x,y,T(z,z \ u)) = (a(x,y,z) \ u) \ u.
a(x,T(y / z,y),u) = a(x,z \ y,u).
T(L(x,y,z) \ u,a(z,y,x)) = (x \ u) * a(z,y,x).
R(1 / x,x,y) * ((1 / x) \ z) = a(x \ 1,x,y) * z.
a(x \ 1,x,y) * (R(1 / x,x,y) \ z) = (1 / x) \ z.
R(a(x,y,R(z,u,w)),L(R(z,u,w),y,x),u * w) = ((z * u) * w) / ((L(z,y,x) * u) * w).
((x * y) * z) / ((L(x,u,w) * y) * z) = a(w,u,R(x,y,z)).
R(a(x,y,z),L(z,y,x) * u,w) = a(x,y,R(z,u,w)).
a(x,y,R(z,u,w)) = a(x,y,z).
a(x,y,L(z,u,z)) = a(x,y,z).
a(x,y,T(z,z \ u)) = a(x,y,T(z,u)).
L(a(x,y,z),u,z) = a(x,y,z).
(x * y) * a(z,u,x) = x * (y * a(z,u,x)).
T((x * y) / L(x,z,u),x) = y * a(u,z,x).
R(x,y,T(z,x * y)) * (x \ u) = a(x,y,z) * u.
x * a(x,y,z * K(x * y,z)) = R(x,y,z).
R(x,x \ 1,y) * (x \ z) = a(x,x \ 1,y) * z.
a(x,x \ 1,y) * (x * z) = R(x,x \ 1,y) * z.
a(x,y,z * K(x * y,z)) = x \ R(x,y,z).
K(a(x,y,z),a(x,y,z) \ (x * y)) = K(a(x,y,z),(x * (y * z)) / z).
K(a(x,y,z),(x * (y * z)) / z) = K(x * y,a(x,y,z) \ 1).
a(x,y,z) * ((x * (y * z)) / z) = K(x * y,a(x,y,z) \ 1) * (x * y).
a(x,y,z) * ((x * (y * z)) / z) = T(x * y,a(x,y,z) \ 1).
(x \ y) * a(z,u,x) = T(y / L(x,u,z),x).
a(x,y,y \ 1) * (x / (y \ 1)) = T(x * y,a(x,y,y \ 1) \ 1).
a(x,y,y \ 1) \ (x * y) = x / (y \ 1).
a(x / (y \ 1),z,u) = a(x * y,z,u).
a(x * (1 / y),z,u) = a(x / y,z,u).
T(L(x,y,z) \ u,a(z,y,x)) = T(u / L(x,y,z),x).
T((L(x,y,z) * u) / L(x,y,z),x) = T(u,a(z,y,x)).
T(T(x,a(y,z,u)),L(u,z,y)) = T(x,u).
T(x,a(y,x,z)) = x.
T(((x * (y / z)) \ (x * y)) \ R((x * (y / z)) \ (x * y),u,w),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ ((x * (y / z)) * R((x * (y / z)) \ (x * y),u,w)),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R((y / z) \ (x \ (x * y)),u,w))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R((y / z) \ y,u,w))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R(z,u,w))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * (y * (z \ R(z,u,w)))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T(L(x \ R(x,y,z),u,w),z) = ((w * (u / x)) \ (w * u)) \ L(R(x,y,z),u / x,w).
L(T(x \ R(x,y,z),z),u,w) = ((w * (u / x)) \ (w * u)) \ L(R(x,y,z),u / x,w).
((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x) = L(z \ R(z,u,w),y,x).
T(a(x,y,z),y) = a(x,y,z).
K(x,a(y,x,z)) = 1.
a(x / (y * x),z,u) = a(1 / y,z,u).
a(L(x,y,z),u,x) = a(x,u,L(x,y,z)).
a(x,y,L(x,z,u)) = a(x,y,x).
a(x,y,L(x,z,u)) = R(x,y,x) / x.
L(a(x,y,x),z,u) = a(x,y,x).
K(x * L(y,z,u),y) = K(x,y) * a(y,x,y).
K(x * L(y,z,u),y) = K(y * x,y).
K(x \ L(y,z,u),y) = K(y * (x \ 1),y).
K(x \ L(y,z,u),y) = K(x \ y,y).
K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z).
K(x \ (y * L(x,z,u)),x) = K(y,x).
(x * y) * a(z,u,z) = x * (y * a(z,u,z)).
R(x,y,a(z,u,z)) = x.
(x * (y * (z * a(u,w,u)))) \ v5 = (x * (y * z)) \ (a(u,w,u) \ v5).
L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)).
(((x * y) * z) * a(u,w,u)) / ((y * z) * a(u,w,u)) = R(x,y,z).
T(x,y * a(z,u,z)) = T(x,y).
a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u).
K(x,y * a(z,u,z)) = x \ T(x,y).
T(x,T(y * z,y)) = T(x,z * y).
K(x,y * a(z,u,z)) = K(x,y).
K(x,y * a(z,u,z)) != w | K(x,y) = w.
K(x,a(y,z,y) * u) = K(x,u).
K(x,T(y,z) / z) = K(x,z \ y).
K(x,T(y,z) / z) != u | K(x,z \ y) = u.
K(x,R(y,z,y) * u) = K(x,y * u).
K(R(x,y,x),R(z,u,z) * w) = K(x,z * w).
a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u).
a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u).
K(x * a(y,z,y),u) = K(x,u).
K(a(x,y,x) * z,u) = K(z,u).
K(R(x,y,x) \ z,u) = K(x \ z,u).
K(x,y / T(z,y)) = K(x,z \ y).
K(T(x,x \ y) \ z,u) = K(T(x,y) \ z,u).
K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u).
L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u).
L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u).
L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u).
R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x).
K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w.
R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x).
R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x).
R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x).
R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x).
T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y).
(x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)).
T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)).
K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u).
K(x,((y \ x) \ x) \ z) = K(x,y \ z).
K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w).
K(x,y / T(z,y)) = K(x,T(y / z,y)).
K(x,y / T(z,y)) != u | K(x,z \ y) = u.
K(x,T(y / z,y)) != u | K(x,z \ y) = u.
K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w.
K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)).
K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)).
K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)).
K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)).
K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x).
R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x).
K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5).
((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(x,y,z).
((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(x,y,z).
R(x,y,z * a(u,w,u)) = R(x,y,z).
R(x,y,K(z * u,z)) = R(x,y,K(u,z)).
R(x,y,K(z * y,z)) = x.
a(x \ 1,x,y) * (x * y) = (1 / x) \ y.
a((x \ 1) \ 1,x \ 1,y) * ((x \ 1) * y) = x \ y.
a(x,x \ 1,y) * ((x \ 1) * y) = x \ y.
(x * (y \ z)) / ((y \ 1) * z) = x * a(y,y \ 1,z).
((R(x,x \ 1,y) * z) * u) / ((x * z) * u) = R(a(x,x \ 1,y),x * z,u).
(a(x,y,z) \ u) \ u = a(x,y,T(z,u)).
T(a(x,y,z),u) = a(x,y,T(z,u)).
K(a(x,y,z),u) * a(x,y,z) = a(x,y,T(z,u)).
R(x \ R(x,y,z),u,w) = a(x,y,z * K(x * y,z)).
a(x,y,T(z * K(x * y,z),u)) = T(x \ R(x,y,z),u).
R(x \ R(x,y,z),u,w) = x \ R(x,y,z).
((R(x,y,z) * u) * w) / ((x * u) * w) = R(x,u,w) \ R(R(x,u,w),y,z).
R(x,y,z) \ R(R(x,y,z),x \ 1,u) = R(a(x,x \ 1,u),x * y,z).
R(x,y,z) * a(x,x \ 1,u) = R(R(x,y,z),x \ 1,u).
(R(x,y,z) * (x \ u)) / ((x \ 1) * u) = R(R(x,y,z),x \ 1,u).
(x \ R(x,y,z)) * u = R(x,y,z) * (x \ u).
T(x \ R(x,y,z),x * u) = (x * u) \ (R(x,y,z) * u).
(R(x,y,z) * u) / (x * u) = x \ R(x,y,z).
(x \ R(x,y,z)) \ u = x * (R(x,y,z) \ u).
(x * (y \ R(y,z,u))) \ w = y * (R(y,z,u) \ (x \ w)).
x * (R(x,y,z) \ ((u * x) \ w)) = (u * R(x,y,z)) \ w.
(x * R(y,z,u)) \ ((x * y) * w) = y * (R(y,z,u) \ w).
L(x,y,R((y * z) / y,y,x)) = z * (R(z,y,x) \ x).
T(x \ R(x,y,z),x * y) = a(x,y,z).
K(x / L(y,z,u),y) = K(y \ x,y).
(x * y) * a(x,y,z) = R(x,y,z) * y.
a(R(x,y,z),y,z) = a(x,y,z).
L(x,y,R(z,y,x)) = a(z,y,x) \ x.
L(x,y,R(z,y,x)) = L(x,y,z).
L(x,y,(y * z) / y) = z * (R(z,y,x) \ x).
x * (R(x,y,z) \ z) = L(z,y,x).
R(x,y,z) \ z = x \ L(z,y,x).
(x * y) / L(y,z,x) = R(x,z,y).
a(x,y,z) * x = R(x,y,z).
R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u).
R(x,y,z) / x = a(x,y,z).
x * a(x,y,z) = R(x,y,z).
x \ R(x,y,z) = a(x,y,z).
(x * y) / R(y,z,x) = L(x,z,y).
a(R(x,y,z),u,w) = a(x,u,w).
(a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)).
R(x,y,L(x,z,u)) = R(x,y,x).
K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u).
x * (a(x,y,z) * u) = R(x,y,z) * u.
(x * y) * a(T(x,y),z,u) = R(x,z,u) * y.
T(x \ R(x,y,z),y) = a(x,y,z).
K(R(x,y,L(x,z,u)),w) = K(x,w).
K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z).
K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5).
T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1.
T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y).
T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)).
T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x.
((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y).
((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)).
((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)).
((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)).
T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u.
R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w.
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u).
R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w).
T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)).
(a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w).
a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w).
a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w).
x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x.
T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u).
a(K(x,T(y,R(y,z,u))),z * y,u) = K(x * y,x * R(y,z,u)).
K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u).
a(K(x / y,y),z * y,u) = K(x,(x / y) * R(y,z,u)).
a(K(x / y,y),z * y,u) = K(x,x * (y \ R(y,z,u))).
a(K(x \ y,x),z * x,u) = K(y,y * (x \ R(x,z,u))).
K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u).
(x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u).
(x * K(y \ R(y,z,u),x)) \ L(x,a(w,v5,v6),v7) = a(K(x,y),z * y,u).
K(x,y \ R(y,z,u)) * (x \ L(x,a(w,v5,v6),v7)) = a(K(x,y),z * y,u).
K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u).
a(K(x,y),z * y,u) = K(x,a(y,z,u)).
L(K(x * y,x),y,z) = K(x * y,x).
K(x \ (y * z),z) = K(z * (x \ y),z).
L(K(x * y,y),x,z) = K(y * x,y).
L(K(x * y,y),x,z) = K(x * y,y).
a(x,y,K(z,y * z)) = 1.
L(K(x,y * x),y,z) = K(x,y * x).
K(x,y \ ((y * z) * x)) = K(x,z * x).
K(x * ((y * x) \ z),x) = K(y \ z,x).
K((x \ y) \ z,z) = K(z * (y \ x),z).
K(x,y \ ((y * z) * x)) = K(x,x * z).
K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z).
L(K(x,x * y),y,z) = K(x,x * y).
K(x,y \ (z * x)) = K(x,x * (y \ z)).
L(K(x,x * (y \ z)),y \ z,u) = K(x,y \ (z * x)).
K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u.
K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w.
K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u).
K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y).
K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y).
K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y).
K(L(x,y * z,u),y) = K(L(x,z,u),y).
T(((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x),u) = a((x * (y / z)) \ (x * y),u,w).
T(L(x \ R(x,y,z),u,w),y) = a((w * (u / x)) \ (w * u),y,z).
L(T(x \ R(x,y,z),y),u,w) = a((w * (u / x)) \ (w * u),y,z).
a((x * (y / z)) \ (x * y),u,w) = L(a(z,u,w),y,x).
a(L(x,y / x,z),u,w) = L(a(x,u,w),y,z).
L(a(x,y,z),u,w) = a(x,y,z).
R(a(x,y,z),u,w) = L(a(x,y,z),v5,v6).
L(a(x,y,z),u,w) = a(x,y,z) * 1.
(x * (y * (z * u))) \ (x * ((y * z) * u)) = a(y,z,u).
(x * y) * a(z,u,w) = x * (y * a(z,u,w)).
R(x,y,a(z,u,w)) = x.
x \ (y * a(z,u,w)) = (x \ y) * a(z,u,w).
L(a(x,y,z),u,w) != v5 | a(x,y,z) = v5.
x * (y * a(T(x,y),z,u)) = R(x,z,u) * y.
((x * y) * (z * a(u,w,v5))) / ((y * z) * a(u,w,v5)) = R(R(x,y,z),y * z,a(u,w,v5)).
a((x * x) * y,z,u) = a(y,z,u).
x \ (y * (z * a(u,w,v5))) = (x \ (y * z)) * a(u,w,v5).
((x * y) * (z * a(u,w,v5))) / (y * (z * a(u,w,v5))) = R(R(x,y,z),y * z,a(u,w,v5)).
a((x * x) \ y,z,u) = a(y,z,u).
a(x * (x * y),z,u) = a(L(y,x,x),z,u).
a(1 / x,y,z) = a(x,y,z).
((x * (y * (z * a(u,w,v5)))) \ ((x * y) * z)) * a(u,w,v5) = a(x,y,z * a(u,w,v5)).
R(R(x,y,z),y * z,a(u,w,v5)) != v6 | R(x,y,z * a(u,w,v5)) = v6.
a(x,T(y,z),x) = a(x,y,x).
a(x * (x * y),z,u) = a(y,z,u).
a(x \ (y \ 1),z,u) = a(y * x,z,u).
a(x \ 1,y,z) = a(x,y,z).
a(x * (y * x),z,u) = a(T(y,x),z,u).
a(x * (y * y),z,u) = a(x \ 1,z,u).
a(x * (y * y),z,u) = a(x,z,u).
a(x * (1 / y),z,u) = a(x * y,z,u).
a(x / y,z,u) = a(x * y,z,u).
R(x,y,z * a(u,w,v5)) = R(x,y,z).
R(x,y,L(z,u,w)) = R(x,y,z).
R(L(x,y,z),u,L(w,v5,v6)) = L(R(x,u,w),y,z).
K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5.
((x * (y * z)) \ (a(u,w,u) \ ((x * y) * z))) * a(u,w,u) = a(x,y,z * a(u,w,u)).
K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w.
K(L(x,x \ y,z),u) = K(x,L(u,y,z)).
a(x,y / z,x) = a(x,z \ y,x).
a(x,y * K(z,y),x) = a(x,y,x).
L(a(x,y,x),z,u) = a(x,y * K(w,y),x).
L(a(x,L(y,z,u),x),w,v5) = a(x,L(y * K(v6,y),z,u),x).
a(x,L(y * K(z,y),u,w),x) = (w * (u * y)) \ (w * (u * (T(x * y,x) / x))).
(x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u).
L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x).
L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x).
L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x).
L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x).
a(x,L(y,z,u),x) = a(x,y,x).
R(x,L(y,z,u),x) = x * a(x,y,x).
R(x,L(y,z,u),x) = R(x,y,x).
L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u).
L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u).
L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u).
L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u).
L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u).
T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y).
T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y).
(x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y).
K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y).
a(x,y,z * a(u,w,u)) = (x * (y * z)) \ ((x * y) * z).
a(x,y,z * a(u,w,u)) = a(x,y,z).
a(x,y,K(z * u,z)) = a(x,y,K(u,z)).
a(x,y,K(z \ u,z)) = a(x,y,K(u,z)).
L(K(x,y),z,u) = K(x,L(y,z,u)).
K(L(x,y,z),u) \ 1 = L(K(u,x),y,z).
L(K(x,y),z,u) = K(L(x,z,u),y).
K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)).
K(x * L(y,z,u),x * y) = a(u,z,K(x,y)).
a(x,y,K(z / L(u,y,x),u)) = K(z,(z / L(u,y,x)) * u).
a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)).
K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)).
K(x,x * a(y,z,u)) = a(y,z,K(x,u)).
K(x,a(y,z,u)) = a(y,z,K(x,u)).
K(x,K(y,a(z,x,u))) = 1.
T(a(x,y,z),K(u,y)) = a(x,y,z) * 1.
T(a(x,y,z),K(u,y)) = a(x,y,z).
T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u).
a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u).
x * a(T(y,x),z,u) = a(y,z,u) * x.
T(a(x,y,z),u) = a(T(x,u),y,z).
a(x * (y * x),z,u) = a(1 / y,z,u).
a(T(x,y),z,u) = a(1 / x,z,u).
a(T(x,y),z,u) = a(x,z,u).
T(a(x,y,z),u) = a(x,y,z).
K(x,a(y,z,u)) = 1.
K(a(x,y,z),u) = 1.
a(x,y,T(z,u)) = 1 * a(x,y,z).
a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)).
a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)).
a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)).
a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y).
K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y).
K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x).
K(x,R(x,y,z) \ u) = K(x,x \ u).
K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x).
K(x,R(T(x,y),z,u) / w) = K(x,w \ x).
K(x,y \ R(x,z,u)) = K(x,y \ x).
K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x).
K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y).
R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y).
R(K(x,y),z,u) = K(R(x,z,u),y).
R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u).
K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u).
R(K(x,y),z,u) = K(x,R(y,z,u)).
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u).
a(K(x,y),z * y,u) = a(K(x,y),z,u).
K(x,a(y,z,u)) = a(K(x,y),z,u).

end_of_list.