% *********************************************************
% AIM:  Some properties of K
%
%    K(K(x,y),z) = K(x,K(y,z))         # label("Kassoc").
%    K(x,K(y,z)) = K(y,K(x,z))         # label("KKcom_a").
%    K(x,K(y,z)) = K(x,K(z,y))         # label("KKcom_b").
%    K(x,y) * K(z,u) = K(z,u) * K(x,y) # label("KKcom_c").
%    K(x,y) * K(y,x) = 1               # label("KxyKyx").
%    K(K(x,y),K(z,u)) = 1              # label("KofKK").
%    K(x,y) = (x * y) / (y * x)        # label("K-dual").
% *********************************************************

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

set(para_from_small).

clear(back_demod).
set(restrict_denials).

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.

   % cancellation laws
   x * y = u & x * z = u -> y = z.
   y * x = u & z * x = u -> y = z.

      % other form
      x * y = x * z -> y = z.
      y * x = z * x -> y = z.

   % useful in demodulation free runs
   x != y | z * x = z * y.
   x != y | x * z = y * z.

   % 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
   (y * x) \ (y * (x * u)) = L(u,x,y).
   ((u * x) * y) / (x * y) = R(u,x,y).
   x \ (u * x) = T(u,x).

   % 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.

   % 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).

end_of_list.

formulas(goals).

   K(K(x,y),z) = K(x,K(y,z))         # label("Kassoc").
   K(x,K(y,z)) = K(y,K(x,z))         # label("KKcom_a").
   K(x,K(y,z)) = K(x,K(z,y))         # label("KKcom_b").
   K(x,y) * K(z,u) = K(z,u) * K(x,y) # label("KKcom_c").
   K(x,y) * K(y,x) = 1               # label("KxyKyx").
   K(K(x,y),K(z,u)) = 1              # label("KofKK").
   K(x,y) = (x * y) / (y * x)        # label("K-dual").

end_of_list.

%
% Hints extracted from previously found proofs.
%

formulas(hints).

K(x,y) = (x * y) / (y * x).
1 * x = x.
x * 1 = x.
x \ (x * y) = y.
x * (x \ y) = y.
(x * y) / y = x.
(x / y) * y = x.
x * y != z | x * u != z | u = y.
x * y != z | u * y != z | u = x.
x * y != x * z | y = z.
x * y != z * y | x = z.
x != y | z * x = z * y.
x != y | x * z = y * z.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
a(x,y,z) = (x * (y * z)) \ ((x * y) * z).
(x * y) \ (y * x) = K(y,x).
K(x,y) = (y * x) \ (x * y).
(x * y) \ (x * (y * z)) = L(z,y,x).
L(x,y,z) = (z * y) \ (z * (y * x)).
((x * y) * z) / (y * z) = R(x,y,z).
R(x,y,z) = ((x * y) * z) / (y * z).
x \ (y * x) = T(y,x).
T(x,y) = y \ (x * y).
T(x,y) != x | T(y,x) = y.
T(x,y) != x | K(x,y) = 1.
K(x,y) != 1 | T(x,y) = x.
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
L(T(x,y),z,u) = T(L(x,z,u),y).
T(R(x,y,z),u) = R(T(x,u),y,z).
R(T(x,y),z,u) = T(R(x,z,u),y).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
K(c16,c17) != (c16 * c17) / (c17 * c16).
(c16 * c17) / (c17 * c16) != K(c16,c17).
1 \ x = x.
x \ x = 1.
x \ (x * (y \ (y * z))) = z.
(x * (x \ 1)) * y = y.
x * (x \ (1 * y)) = y.
x * (y * (y \ 1)) = x.
x \ (y * (y \ (x * z))) = z.
x * (y * (y \ (x \ z))) = z.
x / x = 1.
x / 1 = x.
x * (((x \ y) * z) / z) = y.
x / (y \ x) = y.
((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 / y) / z) * z) * y = x.
x != y | 1 * z != y | z = x.
x != y | z * u != y | z \ x = u.
x != y | z * u != y | x / u = z.
1 * x != y | y = x.
1 * x != y | x = y.
x * y != z | x \ z = y.
(x / y) * z != x | z = y.
x \ (x * (y * z)) != u * z | u = y.
x * (y \ z) != z | x = y.
x * y != z | z / y = x.
x * (y * (y \ z)) = x * z.
((x / y) * y) * z = x * z.
(x * (x \ y)) * z = y * z.
(x * (y * z)) * a(x,y,z) = (x * 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,x).
(x * y) * L(z,y,x) = x * (y * z).
L(x \ y,x,z) = (z * x) \ (z * y).
x \ ((x / y) * (y * z)) = L(z,y,x / y).
(x * y) / (x * y) = R(1,x,y).
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)).
R(x,y,z) * (y * z) = (x * y) * z.
R(x / y,y,z) = (x * z) / (y * z).
T(1,x) = x \ x.
T(x,x) = x.
x * T(y,x) = y * x.
T(x,x \ y) = (x \ y) \ y.
T(x / y,y) = y \ x.
T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u).
x \ (1 \ (x * y)) = y.
(x * (x \ 1)) \ y = y.
((1 / x) * x) \ y = y.
x / (y * (y \ 1)) = x.
x / ((1 / y) * y) = x.
T(T(x,y),x) = T(x,y).
(x / (y \ x)) * 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 \ x) \ y)) = z.
((x / y) \ x) * z = y * z.
(x / (1 * y)) \ x = y.
x * ((y / (x \ z)) \ y) = z.
R(x,y,z) \ ((x * y) * z) = y * z.
T(1,x) = 1.
T(x,1) = x.
((1 / x) * x) * y != z | y = z.
R(x,x \ 1,y) = y / ((x \ 1) * y).
L(x \ 1,x,y) = (y * x) \ y.
R(1 / x,x,y) = y / (x * y).
x \ ((x * (1 / y)) * y) = a(x,1 / y,y).
L(x,1 / x,y) = (y * (1 / x)) \ y.
T((x * y) / x,x) = y.
(x * T(y,x)) / x = y.
(x \ y) * T(x,x \ y) = y.
x * (y * (y \ T(z,x))) = z * x.
x * T(y / x,x) = y.
x * y != z | y * u != z | T(x,y) = u.
x * y != z * x | T(z,x) = y.
x * T(y,x) != z * x | z = y.
(x * y) \ (T(x,y) * y) = K(T(x,y),y).
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)).
x * T(T(y,x),z) = T(y,z) * x.
x * L(T(y,x),z,u) = L(y,z,u) * x.
x * R(T(y,x),z,u) = R(y,z,u) * x.
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 / (x / y),x / y) = y.
K(x \ 1,x) = (x \ 1) * x.
x * ((x \ 1) * y) = L(y,x \ 1,x).
K(x,1 / x) = x * (1 / x).
(1 / x) * (x * y) = L(y,x,1 / x).
(x * y) * (y \ 1) = R(x,y,y \ 1).
(x * (1 / y)) * y = R(x,1 / y,y).
K(T(x,y),x) = 1.
T(x,T(x,y)) = x.
T(x,y) * x = x * T(x,y).
x / T(y,y \ x) = y \ x.
(T(x,y) * z) / T(T(x,z),y) = z.
(x / (1 * y)) * y = x.
T(T((x * y) / x,z),x) = T(y,z).
K(x,(y * x) / y) = 1.
(x * T(T(y,x),z)) / x = T(y,z).
T(x,(y * x) / y) = x.
x != y | y / 1 = x.
(x / y) \ x = y / 1.
x * (x \ y) = y / 1.
x / 1 = 1 * x.
x / 1 != y | y = x.
x / 1 != y | x = y.
x / ((1 / y) * y) != z | z = x.
(x / y) \ x != z | z = y.
x * (x \ y) != z | z = y.
x \ (x * y) != z | z = y.
x \ (y * x) != z | T(y,x) = z.
(x * y) * L(z,y,x) != u | x * (y * z) = u.
x * T(y,x) != z | y * x = z.
(x / y) * y != z | z = x.
(x * (x \ 1)) \ y != z | z = y.
((1 / x) * x) \ y != z | z = y.
R(x,y,z) * (y * z) != u | (x * y) * z = u.
x \ (y * (y \ x)) = 1.
(x / y) \ (z * (z \ x)) = y.
x * (x \ y) = y * 1.
x * 1 != y * z | y \ x = z.
(x / y) * y = x * 1.
x * 1 != y * z | x / z = y.
(x / y) * y = z * (z \ x).
L(x \ (y \ z),x,y) = (y * x) \ z.
x * (x \ (y * z)) = y * (u * (u \ z)).
((1 * x) / y) \ x = y.
(x / y) * y = 1 * x.
1 * x != y * z | x / z = y.
(x / ((y / z) * z)) * y = x.
(((x / y) * y) / z) \ x = z.
((x / y) * y) / z = x / z.
R((x / y) / z,z,y) = x / (z * y).
((x / y) * y) * (x \ z) = z.
x != y | z != y | z = x.
(x * y) / y = z / (x \ z).
x / (y \ x) = z * (z \ y).
(x * y) / y = (x / z) * z.
x \ (x * y) = z * (z \ y).
(x / (y * (y \ z))) * z = x.
x * y != z * y | (z / u) * u = x.
x * K(y \ x,y) = (y \ x) * y.
x * K(y,x / y) = y * (x / y).
(x * y) * z != y * x | K(y,x) = z.
(x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x).
(x * y) / (x * K(x,y)) = R(y,x,K(x,y)).
(x * y) / T(y * x,K(x,y)) = K(x,y).
(x * y) \ (y * x) != z | K(y,x) = z.
T(x,x \ y) * z = ((x \ y) \ y) * z.
x * T(y,y \ z) = x * ((y \ z) \ z).
(x \ y) \ y = z * (z \ T(x,x \ y)).
T(T(x,y),x \ z) = T((x \ z) \ z,y).
x / K(y,y \ x) = (y \ x) * y.
((x / y) \ x) * (y \ z) = z.
x * (((y / x) \ y) \ z) = z.
(x / y) * ((z / y) \ z) = x.
(x \ y) * z != y | T(x,x \ y) = z.
T(x / (x / y),(z / (x / y)) \ z) = y.
x * T(x \ 1,x) = K(x \ 1,x).
(x \ 1) \ K(x \ 1,x) = x.
(K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y).
x \ K(x \ 1,x) = T(x \ 1,x).
K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x).
x * (x \ y) != z * u | y / u = z.
x / (y \ ((x / z) * z)) = y.
R(x,y / z,z) * y = (x * (y / z)) * z.
R(x / y,y,x \ z) = z / (y * (x \ z)).
(x / (y \ x)) * z != u | y * z = u.
x / (y \ x) != z | z = y.
(x * y) / y != z | z = x.
x / x != y | 1 = y.
(x * y) / y != z * u | x / u = z.
((x / y) * y) * z != u | x * z = u.
x * (y * (y \ z)) != u | x * z = u.
R(x,y,y \ z) * z = (x * y) * (y \ z).
(x \ 1) * x != y | K(x \ 1,x) = y.
R(1,x,y) = 1.
L(x \ 1,x,1 / x) = 1 / x.
x * L(y \ 1,y,z) = x * ((z * y) \ z).
(x * y) * L(y \ 1,y,x) = x.
L((x \ y) \ 1,x \ y,x) = y \ x.
L(x \ 1,x,y / x) = y \ (y / x).
T((x * y) \ x,z) = L(T(y \ 1,z),y,x).
R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x).
L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z).
x / L(y \ 1,y,x) = x * y.
R(1 / x,x,x \ 1) = x \ 1.
R(1 / x,x,x \ y) = (x \ y) / y.
R(1 / (x / y),x / y,y) = y / x.
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).
R(1 / x,x,y) \ y = x * y.
T(x,y) * z != x * y | T(y,T(x,y)) = z.
x * T(T(y,x),z) != u * x | T(y,z) = u.
T(x,y) \ (x * y) != z | T(y,T(x,y)) = z.
x * T(T(y,x),z) != u | T(y,z) * x = u.
x * L(T(y,x),z,u) != w | L(y,z,u) * x = w.
K(x \ 1,x) != y | (x \ 1) * x = y.
K(x,1 / x) != y | x * (1 / x) = y.
L(x,y,1 / y) != z | (1 / y) * (y * x) = z.
x * (x \ y) != z * u | z \ y = u.
(x / y) * y != z * u | x / u = z.
((1 / x) * x) * y != z * u | y / u = z.
L(T(x \ 1,y),x,1 / x) = T(1 / x,y).
(x * y) \ x != z | L(y \ 1,y,x) = z.
x / L(y,1 / y,x) = x * (1 / y).
((x * y) \ x) * (L(y \ 1,y,x) \ z) = z.
L(x \ 1,x,y) * (((y * x) \ y) \ z) = z.
R(T(1 / x,y),x,x \ 1) = T(x \ 1,y).
R(x,x \ 1,y) \ y = (x \ 1) * y.
x / (y * x) != z | R(1 / y,y,x) = z.
x \ T(y,y \ z) = x \ ((y \ z) \ z).
(1 / x) \ L(y,x,1 / x) = x * y.
x \ L(y,x \ 1,x) = (x \ 1) * y.
R(x,y,y \ 1) / (y \ 1) = x * y.
((x * y) \ x) / L(y \ 1,y,x) = 1.
K(x,y) = (y * x) \ ((y \ (y * x)) * y).
x \ (y * T(y \ x,y)) = K(y \ x,y).
K(x \ 1,x) \ 1 = K(x,x \ 1).
K(x,1 / x) \ 1 = K(1 / x,x).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
x * T(x \ (y * x),z) = T(y,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
T((x * y) / x,z) * x = x * T(y,z).
(x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y).
T(x / (x / y),z) * (x / y) = (x / y) * T(y,z).
(x * T(x \ y,z)) / x = T(y / x,z).
x * T(x \ y,z) != u | T(y / x,z) * x = u.
(x * T(y,z)) / x = T((x * y) / x,z).
((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z).
(x \ y) * x != y * z | K(x \ y,x) = z.
(x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x).
x \ ((y \ x) * y) != z | K(y \ x,y) = z.
x \ (y * (x / y)) != z | K(y,x / y) = z.
x \ (x * y) != z * u | y / u = z.
(x * y) / L(z \ y,z,x) = x * 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 * u) | L(u,y,x) = z.
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
(x * y) * T(L(z,y,x),u) = x * (y * T(z,u)).
(x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)).
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
(x * y) * L(z,T(x,y),y) = y * (T(x,y) * z).
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y).
(1 / x) * (x * y) != z | L(y,x,1 / x) = z.
L(x \ (y * x),x,y) = T(y,y * x).
L(x \ y,x,1 / x) = (1 / x) * y.
L((x \ 1) \ y,x \ 1,x) = x * y.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x).
L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z).
x / L(y \ z,y,x / z) = (x / z) * y.
L((x \ 1) \ y,x \ 1,x) != z | x * y = z.
R(x / y,y,x \ z) \ z = y * (x \ z).
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
(x * y) * z != u * (y * z) | R(x,y,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.
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y.
((x * y) * z) / (y * z) != u | R(x,y,z) = u.
R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u).
R(x / (1 / y),1 / y,y) = x * y.
R(x / y,y,y \ 1) = x * (y \ 1).
R(x / (y / z),y / z,z) = (x * z) / y.
T((x * y) / (z * y),u) = R(T(x / z,u),z,y).
T(R(x / y,y,z),y * z) = (y * z) \ (x * z).
R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)).
R(x / (1 / y),1 / y,y) != z | x * y = z.
(x * y) / L(z,y / z,x) = x * (y / z).
(x * (y * z)) / L(T(y,z),z,x) = x * z.
R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z.
K(x,1 / x) \ x = L(x,1 / x,x).
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(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)).
(1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u).
L(T(x,y),y,1 / y) = (1 / y) * (x * y).
(1 / x) \ L(y,x,1 / x) != z | x * y = z.
L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y.
R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y).
L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y).
K(x,1 / x) * x = R(x,1 / x,x).
L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w).
L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w).
x * (y * (y \ z)) != u * w | (x * z) / w = u.
(((x * y) / z) * z) / y != u * w | x / w = u.
T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y).
T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y).
x * (y * (y \ (x \ z))) != u * w | u \ z = w.
x * (y * (y \ z)) != u * w | u \ (x * z) = w.
((x / y) * y) * z != u * w | (x * z) / w = u.
x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z.
(x * y) \ x != z * u | L(y \ 1,y,x) / u = z.
L(T(x,y),y,x) = T(x,x * y).
T(L(x,y,x),y) = T(x,x * y).
L(T(T(x,y),z),y,x) = T(T(x,x * y),z).
L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u).
L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u).
x * T(y,y * x) = L(y,x,y) * x.
(x * T(y,y * x)) / x = L(y,x,y).
L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z).
L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u).
L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z).
R(T(x / (1 / y),z),1 / y,y) = T(x * y,z).
R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z).
R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u).
K(x,1 / x) * L(x,1 / x,x) = x.
((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x).
K(x,1 / x) * y != x | L(x,1 / x,x) = y.
T(x / y,(z / y) \ z) = y \ x.
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x.
L(x / y,z,u) * y = y * L(y \ x,z,u).
L((x * y) / x,z,u) * x = x * L(y,z,u).
(x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y).
(x * y) * R(T(z,x * y),x,y) = (z * 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).
(x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y).
R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u).
(x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y).
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
(x * R(x \ y,z,u)) / x = R(y / x,z,u).
T(x / (y * x),y) = R(y \ 1,y,x).
T((x * y) / (z * y),z) = R(z \ x,z,y).
R(x \ (y / z),x,z) = T(y / (x * z),x).
T((x \ y) / y,x) = R(x \ 1,x,x \ y).
R((x / y) \ 1,x / y,y) = T(y / x,x / y).
(x / (y * x)) * y = y * R(y \ 1,y,x).
x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z.
(T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y).
(T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y).
x / T(y,y \ z) = x / ((y \ z) \ z).
(x * T(y,y \ z)) / ((y \ z) \ z) = x.
x \ (x / y) != z | L(y \ 1,y,x / y) = z.
K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y.
(1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y.
((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y).
K(x \ (x * y),x) = K(y,x).
K(x \ (x * y),z) = K(y,z).
K((x / y) \ x,z) = K(y,z).
(x * T(x \ y,z)) / x != u | T(y / x,z) = u.
T((x * y) / x,y * x) = L(y,x,y).
(x * T(y,z)) / x != u | T((x * y) / x,z) = u.
((x * y) / x) * (y * x) = (y * x) * L(y,x,y).
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 / z)) / x,z) = (x * (z \ y)) / x.
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)).
R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z.
x \ (K(x,1 / x) * x) = a(x,1 / x,x).
x \ R(x,1 / y,y) = a(x,1 / y,y).
x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x.
(x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)).
L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z.
L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z).
(x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)).
T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x.
x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u.
x * T(x \ (y * x),z) != u | T(y,z) * x = u.
L(T(x \ 1,x),x,1 / x) = x \ 1.
(1 / x) \ T(1 / x,y) = x * T(x \ 1,y).
L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y).
T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x.
K(x,y) = L(x \ T(x,y),x,y).
L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u).
x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z.
x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z).
x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u.
x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)).
x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u.
L(x \ y,x,y / x) = T(y / x,y).
L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u).
R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u).
R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w).
(1 / x) * ((x \ 1) * x) = x \ 1.
(1 / x) \ (x \ 1) = (x \ 1) * x.
x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x.
(1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1.
(1 / x) * K(x \ 1,x) = x \ 1.
(1 / x) \ (x \ 1) = K(x \ 1,x).
K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1).
(x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x).
K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y.
(x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y).
(x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y).
x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y).
(x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)).
R(x,y,z) = T(((y * x) * z) / (y * z),y).
T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z.
T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y).
(x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y).
R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z.
(x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z.
T(K(x,1 / x),x) = a(x,1 / x,x).
(((x * y) * z) / (x * z)) * x = x * R(y,x,z).
T(R(x,y,x),y * x) = T(x,y).
R(x,y,x) * (y * x) = (y * x) * T(x,y).
R(T(x,y * x),y,x) = T(x,y).
R(T(x,y),y / x,x) = T(x,y / x).
x * R(T(y,x * y),x,y) = y * x.
(T(x,y * x) * y) * x = T(x,y) * (y * x).
R(x,1 / x,x) = T(x,1 / x).
T(x,1 / x) / x = K(x,1 / x).
R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z).
x \ T(x,1 / x) = a(x,1 / x,x).
(x * y) * T(y,x) = (y * x) * y.
((x \ 1) * x) \ x = T(x,x \ 1).
K(x \ 1,x) \ x = T(x,x \ 1).
K(x \ 1,x) \ x = (x \ 1) \ 1.
K(x \ 1,x) * ((x \ 1) \ 1) = x.
K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1.
R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y).
(x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5.
(x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z.
x / (y * z) != u | R((x / z) / y,y,z) = u.
x * K(x \ 1,x) != y | L(x,x \ 1,x) = y.
L(1 / x,x,y) * x = x * ((y * x) \ y).
(x * ((y * x) \ y)) / x = L(1 / x,x,y).
L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x).
((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x).
L((x * y) / x,z,u) = (x * L(y,z,u)) / x.
L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x.
(x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1).
(x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)).
((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y).
R((x * y) / x,z,u) = (x * R(y,z,u)) / x.
(x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z.
L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w.
L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z.
L(T(x,y) / x,x,y) = (x * K(x,y)) / x.
((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u).
R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w.
((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x).
(x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y).
(x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y.
T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y).
(1 / (1 / x)) * (x * (1 / x)) = x.
(1 / (1 / x)) * K(x,1 / x) = x.
K(x,1 / x) \ (1 / x) = x \ 1.
K(x,1 / x) * (x \ 1) = 1 / x.
T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u).
(x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)).
L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x.
L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x.
L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x.
L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x.
R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x.
((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u.
R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x.
R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x.
((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w.
T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)).
T(R(x,y,T(x,y)),x * y) = T(x,y).
R(T(x,x * y),y,T(x,y)) = T(x,y).
(x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)).
L((x * y) \ x,y,1 / y) = L(1 / y,y,x).
(x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)).
L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y).
R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x.
(x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)).
(x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)).
(x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)).
(x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
(x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)).
L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u).
(x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w.
(T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y).
(T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y).
R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z).
((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x).
R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
(x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z).
T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y).
(x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)).
(1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z).
(1 / x) * ((x \ y) * x) = T((1 / x) * y,x).
T((1 / x) * (x * y),x) = (1 / x) * (y * x).
x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1).
T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y.
T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y.
((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x).
((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)).
T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x.
L(((x * y) * x) / (x * y),y,x) = (y * x) / y.
T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z.
x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y).
(x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y).
((x * T(y,x * y)) * y) / (x * y) = y.
(x * T(y,x * y)) * y = y * (x * y).
(x * (y * x)) / x = y * T(x,y * x).
T(x * T(y,x * y),y) = x * y.
T((x / y) * T(y,(x / y) * y),y) = x.
x \ ((y * (x * y)) / y) != z | T(y,x * y) = z.
T((x / y) * T(y,x),y) = x.
T(x * T(x \ y,y),x \ y) = y.
(x / y) * T(y,x) = (y * x) / y.
((x \ y) * y) / (x \ y) = x * T(x \ y,y).
T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)).
((x * y) / x) / T(y / x,T(x,y)) = T(x,y).
T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z.
(L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y).
(L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y).
T(x,y * T(y \ x,x)) = x.
T(x,(x * y) * L(T(y \ 1,x),y,x)) = x.
T(x,x * (y * T(y \ 1,x))) = x.
L(((x * y) * x) / (x * y),y,x) * y = y * x.
(x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x.
((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z).
K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z.
((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x).
R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x).
((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u.
R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x).
T(T(x,x * y) * y,T(x,y)) = x * y.
(x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y).
(x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z).
T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y).
T(x,y) * (x \ 1) = x \ T(x,y).
(x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1).
(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.
T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y).
(1 / x) * T((1 / x) \ 1,y) = T(x,y) / x.
(1 / x) * T(x,y) = T(x,y) / x.
(T(x,y) / x) / T(x,y) = 1 / x.
(1 / x) \ (T(x,y) / x) = T(x,y).
T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z.
T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)).
T(x,x \ y) / x = (1 / x) * ((x \ y) \ y).
T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x).
T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x).
L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)).
(1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x.
T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z).
(x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y).
K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y).
T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x).
x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x.
K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x).
(x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z).
(x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y).
((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1).
(1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z).
((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x.
(1 / (x / y)) * (y \ x) = (y \ x) / (x / y).
(x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y).
((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y.
T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z).
(x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z).
(x / y) * K(y \ 1,y) = x * T(x \ (x / y),y).
T(x,x * K(y,x)) = x.
T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y).
(((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x).
(((x * y) * x) / (x * y)) * y = T(x * y,x).
((x * y) * x) / (x * y) = T(x * y,x) / y.
T(T(x * y,x) / y,x * y) = x.
T(T(x * y,x) / y,y) = R(x,y,T(x,y)).
T(T(x,x / y) / y,(x / y) * y) = x / y.
T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y.
x * R(y,x,T(y,x)) = T(y * x,y).
T(T(x,x / y) / y,x) = x / y.
T(x,x / y) / y = (x * (x / y)) / x.
T(x \ T(y,y / x),y) = T(y / x,x).
((x * (x / y)) / x) * y = T(x,x / y).
((x * (x / y)) / x) * y != z | T(x,x / y) = z.
T(x \ T(y,y / x),y) = x \ y.
T((x \ y) \ T(y,x),y) = (x \ y) \ y.
x \ T(y,y / x) = (y * (x \ y)) / y.
x * ((y * (x \ y)) / y) = T(y,y / x).
x * ((y * (x \ y)) / y) != z | T(y,y / x) = z.
(x / y) * ((x * y) / x) = T(x,x / (x / y)).
(x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)).
T(x,x / (x / T(y,x))) = (x / T(y,x)) * y.
K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y.
L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x.
L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y.
(L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y).
R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y.
R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z.
x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w.
(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).
(1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z).
(1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z).
L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x.
L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y).
(x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y).
(x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1.
((x * y) \ x) / (y \ 1) = y * ((x * y) \ x).
(x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y.
((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)).
L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)).
((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1.
R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w.
R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x.
L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x).
K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)).
(x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5.
K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)).
(1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u).
x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u).
(T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y.
(x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)).
(x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y.
((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y.
T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y).
K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y).
x * (y * ((x \ y) / y)) = T(y,y / (x * y)).
K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y.
x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x.
R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u).
(x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y.
x * (y * T(T(x,y),z)) = T(x,z) * (x * y).
T(x,y) * (x * z) = x * (T(x,y) * z).
x \ (T(x,y) * z) = T(x,y) * (x \ z).
T(x,y) * (x \ (T(x,y) \ z)) = x \ z.
(T(x,y) * z) / (T(x,y) * (x \ z)) = x.
x * (T(x,y) * (x \ z)) = T(x,y) * z.
T(x,y) * (x * (T(x,y) \ z)) = x * z.
T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z).
T(x,y) \ (x * z) = x * (T(x,y) \ z).
x * (T(x,y) \ (x \ z)) = T(x,y) \ 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,y) * z) = (y \ x) * ((x / y) * z).
(T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1).
(T(x,y) \ x) / (T(x,y) \ 1) = x.
x \ (T(x,y) \ x) = T(x,y) \ 1.
T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1).
L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x).
T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x).
(T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z).
T(x,y) \ (x \ z) = x \ (T(x,y) \ z).
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).
x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x).
(x / y) * ((y \ x) \ y) = T(y,T(x / y,y)).
T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z).
x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u.
T(T(x,y * x) * y,x) = T(x,y) * T(y,x).
T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)).
T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y).
(x / y) * ((y \ x) \ y) = T(y,y \ x).
((x * y) / x) * (y \ x) = T(x,x \ (x * y)).
T(x,y) = ((x * y) / x) * (y \ x).
T(x,y) / (y \ x) = (x * y) / x.
((x * y) / x) \ T(x,y) = y \ x.
(x / (x / y)) * (y \ (x / y)) = T(x / y,y).
((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)).
((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)).
(x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)).
T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z.
(x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y).
((x \ 1) \ 1) / x = (x \ 1) \ (1 / x).
(x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1).
((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1).
x * T(1 / x,T(x,y)) = K(x,T(x,y) / x).
(x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y.
(x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z).
(T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y).
K((x * y) \ x,x * y) = y * T(y \ 1,x * y).
K((x * y) \ x,x * y) / y = T(1 / y,x * y).
(((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y).
x * (((y * x) / y) \ 1) = ((y * x) / y) \ x.
(((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1).
(1 / (x / (x / y))) * y = y / (x / (x / y)).
(x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z).
L(x,y,z) * (x \ 1) = x \ L(x,y,z).
L(x,y,z) \ (x \ L(x,y,z)) = x \ 1.
(x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1.
(x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z).
R(x,y,z) * (x \ 1) = x \ R(x,y,z).
(x \ R(x,y,z)) / (x \ 1) = R(x,y,z).
R(x,y,z) \ (x \ R(x,y,z)) = x \ 1.
(x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1.
R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z).
T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z).
(1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x.
L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x).
R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x.
(1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x.
(1 / x) * R(x,y,z) = R(x,y,z) / x.
R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z).
R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)).
R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u.
L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u).
R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x.
(1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z).
(1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z).
(x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x).
(1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y).
(1 / x) * ((y / (x * y)) * x) = y / (x * y).
((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y).
(x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x).
(x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y.
(x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z).
(x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z).
(x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z).
((x * y) / x) * (y \ 1) = y \ ((x * y) / x).
(x / (x / y)) * (y \ 1) = y \ (x / (x / y)).
(x \ 1) / (1 / x) = x \ (1 / (1 / x)).
((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)).
((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)).
K(x \ (x / y),x) = y * T(y \ 1,x).
x \ K(y \ (y / x),y) = T(x \ 1,y).
K(x \ (x / (1 / y)),x) = T(y,x) / y.
K(x \ (x / (y \ 1)),x) = y \ T(y,x).
K(x \ (x / y),x) / y = T(1 / y,x).
K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)).
T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x).
(x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)).
T(x,y) = K(y \ (y / (1 / x)),y) * x.
K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)).
K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x.
K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y).
K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y.
K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)).
K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1).
(x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y).
(x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y).
K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y).
T(x,x * T(x \ 1,y)) = x.
T(x,(x \ 1) * x) = x.
T(x,K(x \ 1,x)) = x.
R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x).
T(x \ 1,T(x,y) * (x \ 1)) = x \ 1.
T(x \ 1,x \ T(x,y)) = x \ 1.
T(1 / x,T(x,y) / x) = 1 / x.
R(x,x \ 1,x) = T(x,x \ 1).
K(x \ 1,x) * x = x * K(x \ 1,x).
T(x,x \ 1) \ x = (x \ 1) * x.
T(x \ T(x,y),x \ 1) = x \ T(x,y).
T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x.
T(x,x \ 1) \ 1 = T(x \ 1,x).
1 / T(x \ 1,x) = T(x,x \ 1).
T(x \ 1,x) = ((x \ 1) \ 1) \ 1.
T((1 / x) \ 1,1 / x) = (x \ 1) \ 1.
T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x).
T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1.
R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)).
(x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x).
T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x).
T(x,1 / x) = (x \ 1) \ 1.
T(x,1 / x) = T(x,x \ 1).
R(x,1 / x,x) = (x \ 1) \ 1.
((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x.
((x \ 1) \ 1) / x = K(x,1 / x).
a(x,1 / x,x) = x \ ((x \ 1) \ 1).
L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x).
L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)).
(x * T(y,y \ 1)) / x = T((x * y) / x,1 / y).
T(x,x \ 1) / x = K(x,1 / x).
x \ T(x,x \ 1) = a(x,1 / x,x).
R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z).
K(x,1 / x) * x = (x \ 1) \ 1.
(x \ 1) \ (1 / x) = K(x,1 / x).
K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x).
(1 / x) / K(x,1 / x) = 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).
L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)).
R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x).
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).
T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)).
K(x,y) = T((y * x) \ (x * y),x \ 1).
T(K(x,y),x \ 1) = K(x,y).
T(x \ 1,K(x,y)) = x \ 1.
T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1).
T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y.
K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z).
(x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u.
K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x.
T(x,1 / T(x,y)) = T(x,T(x,y) \ 1).
T(x,K(x \ 1,y)) * (x \ 1) = 1.
T(x,K(x \ 1,y)) = x.
T(1 / x,K(x,y)) = 1 / x.
T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x).
x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y).
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u.
R(x,y,x) * (x \ (y * x)) = T(x * y,x).
R(x,y,x) * T(y,x) = T(x * y,x).
R(x,y,x) \ T(x * y,x) = T(y,x).
(L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y.
L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y).
x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w).
(R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y.
(x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)).
(x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)).
(x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z).
(1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y).
(x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y).
((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z.
(x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)).
(T((x * y) / x,z) * x) * y = (x * y) * T(y,z).
(x * T(y,z)) * y = (x * y) * T(y,z).
(x * y) / T(y,z) = (x / T(y,z)) * y.
(1 / T(x,y)) * x = x / T(x,y).
((x / T(y,z)) * y) * T(y,z) = x * y.
((x / T(y,z)) / y) * T(y,z) = x / y.
(x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z).
(1 / T(x,y)) \ (x / T(x,y)) = x.
(1 / T(x,y)) * x != z | x / T(x,y) = z.
(1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z).
T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)).
(x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u.
T(x,x / (x / T(y,x))) * T(y,x) = x * y.
(T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z).
T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u).
T(x,x / (x / T(y,x))) * (y * x) = x * (x * y).
T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)).
T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x).
((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x.
(x * (x * y)) / (y * x) = (x / T(y,x)) * y.
R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y.
(x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z).
(x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z.
(x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z).
(x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y.
x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)).
x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x).
(x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)).
(x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)).
T((1 * x) / y,K(y / x,z)) = x / y.
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.
(x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5.
(x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y).
(x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1).
(x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y.
((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 * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x.
x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x.
T((x \ y) * x,x) = (x \ T(y,x)) * x.
T((x \ y) * x,x) / x = x \ T(y,x).
T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y).
x * (T((x \ y) * x,x) / x) = T(y,x).
(x \ T(y,x)) * x != z | T((x \ y) * x,x) = z.
x \ T(x * (y / x),x) = T(y,x) / x.
x * (T(y * x,x) / x) = T(x * y,x).
T(x * (y / x),x) = x * (T(y,x) / x).
(x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1).
T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x).
((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)).
x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y.
x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y.
K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y).
x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x).
K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y.
x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z.
(K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)).
x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y.
(x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y).
(x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y).
(x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)).
(T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u).
x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
T(1 / (1 / x),x \ 1) = x.
T(T(1 / (1 / x),y),x \ 1) = T(x,y).
T(1 / (1 / (1 / x)),x) = 1 / x.
(1 / (1 / x)) * (x \ 1) = (x \ 1) * x.
T(x,x \ 1) / x = K(x,x \ 1).
(1 / (1 / (1 / x))) * x = x * (1 / x).
K(x,1 / x) = K(x,x \ 1).
K(x,x \ 1) * x = T(x,x \ 1).
((x \ 1) \ 1) / x = K(x,x \ 1).
K(x,x \ 1) = x * (1 / x).
K((x / y) \ x,1 / y) = K(y,y \ 1).
x \ K(x,x \ 1) = 1 / x.
K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x).
K(x,x \ 1) \ 1 = K(1 / x,x).
(1 / (1 / x)) * K(x,x \ 1) = x.
K(x,x \ 1) * (x \ 1) = 1 / x.
K(x,x \ 1) * x = (x \ 1) \ 1.
K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)).
L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)).
x * (1 / x) != y | K(x,x \ 1) = y.
T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y).
T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)).
T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y.
x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y).
R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1).
R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y.
(1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y).
((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y.
K(x,1 / x) != y | K(x,x \ 1) = y.
(x \ 1) / (1 / x) = (x \ 1) * x.
(x \ 1) / (1 / x) = K(x \ 1,x).
K(1 / x,1 / (1 / x)) = K(x \ 1,x).
x \ (1 / (1 / x)) = K(x \ 1,x).
K(x \ 1,x) * (1 / x) = x \ 1.
K(x \ 1,x) \ (x \ 1) = 1 / x.
x * K(x \ 1,x) = 1 / (1 / x).
x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)).
T(1 / x,K(x \ 1,x)) = 1 / x.
(x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y).
L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y).
L(x \ 1,x,x \ 1) = 1 / x.
L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z).
L(x,x \ 1,x) = 1 / (1 / x).
(1 / (1 / x)) / (x * x) = R(x \ 1,x,x).
L(T(x,y),x \ 1,x) = T(1 / (1 / x),y).
L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z).
L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z).
x / (1 / (1 / x)) = x * (1 / x).
x / (1 / (1 / x)) = K(x,x \ 1).
x / (1 / (1 / x)) = K(x,1 / x).
K(x,x \ 1) * (1 / (1 / x)) = x.
K(x,x \ 1) \ x = 1 / (1 / x).
K(x,1 / x) * (1 / (1 / x)) = x.
x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y).
L(x,1 / x,x) = 1 / (1 / x).
L(T(x,y),1 / x,x) = T(1 / (1 / x),y).
T(L(x,1 / x,x),x \ 1) = x.
L(T(x,x \ 1),1 / x,x) = x.
T(x,K(x,1 / x)) = x.
T(K(x,1 / x),x) = K(x,1 / x).
T(x,K(x,x \ 1)) = x.
L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z).
a(x,1 / x,x) = K(x,1 / x).
x \ T(x,x \ 1) = K(x,1 / x).
x \ ((x \ 1) \ 1) = K(x,1 / x).
x \ T(x,x \ 1) = K(x,x \ 1).
x \ ((x \ 1) \ 1) = K(x,x \ 1).
K((x \ 1) \ 1,x \ 1) = K(x,1 / x).
x * K(x,x \ 1) = T(x,x \ 1).
x * K(x,x \ 1) = (x \ 1) \ 1.
K((x \ 1) \ 1,x \ 1) = K(x,x \ 1).
T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y).
L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y).
(T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z.
K(1 / x,(1 / x) \ 1) = K(x \ 1,x).
K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)).
(x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y.
K(1 / x,x) = K(x \ 1,x).
K(1 / (1 / x),1 / x) = K(x,x \ 1).
K(x,x \ 1) \ 1 = K(x \ 1,x).
K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)).
(x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x).
T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x.
K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y).
K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)).
K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)).
K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x).
K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x).
K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1).
K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x).
K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x).
K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x).
(x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y.
x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z).
(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 * T(x \ y,z) = y * K(z \ (z / (y \ x)),z).
K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)).
(x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u).
K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))).
K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)).
K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)).
T(x,x * (y \ (z * T(z \ y,x)))) = x.
T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x.
T(x,x * (T(x,y) \ x)) = x.
T(T(x,y),x * (T(x,z) \ x)) = T(x,y).
(x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x).
K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y).
(x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z).
(T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x.
(T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z).
((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z).
K(x \ (x / (y / z)),x) * z = y * T(y \ z,x).
K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z.
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).
(x * (T(x,y) \ x)) \ (x * x) = T(x,y).
(x * x) / T(x,y) = x * (T(x,y) \ x).
T(x / T(x,y),x) = T(x,y) \ x.
T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x).
T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y).
(((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)).
(x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)).
(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.
((x * y) / x) * (y * z) = y * (((x * y) / x) * z).
x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z).
((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z).
((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x).
(L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z).
x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)).
T(x,x / (y \ 1)) != z | T(x,y * x) = z.
((x * (x * y)) / x) / y = T(x,x / (1 / y)).
((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y.
T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y).
R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y.
(1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x.
(1 / x) * ((y * x) / y) = ((y * x) / y) / x.
((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x).
T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x.
(x * ((y * z) / y)) * z = (x * z) * ((y * z) / y).
(x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y.
((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y.
T(x,x / (x / y)) * y = x * ((x * y) / x).
T(x,x / (x / y)) * (x \ y) = (x * y) / x.
((x * y) / x) / (x \ y) = T(x,x / (x / y)).
T(x,x / (1 / (x \ y))) = T(x,x / (x / y)).
T(x,x / (x / (x * y))) = T(x,x / (1 / y)).
(x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y.
(x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y.
(T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)).
(x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y).
(x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y.
K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * 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).
T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),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).
K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z).
K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z).
T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x).
T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y).
T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y).
(x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u).
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x.
x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))).
x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x).
T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z).
x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z).
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 / x,z),x) = x * T(T(y,x) / x,z).
T(x * T(1 / x,y),x) = x * T(1 / x,y).
T(x,x * R(x \ 1,y,z)) = x.
T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z).
T(1 / x,(1 / x) * R(x,y,z)) = 1 / x.
T(x,(y / (x * y)) * x) = x.
T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1.
T(x \ 1,x \ R(x,y,z)) = x \ 1.
T(x / y,(y / x) * (x / y)) = x / y.
T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x).
T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z).
T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y).
T(x / (y * x),y * (x / (y * x))) = x / (y * x).
(R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x).
R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)).
T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x).
R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y).
T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1).
R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x).
R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)).
(x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)).
T(x,x * L(x \ 1,y,z)) = x.
T(x,x * ((y * x) \ y)) = x.
T(x \ y,(x \ y) * (y \ x)) = x \ y.
(((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y).
T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y).
T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y).
L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y).
T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y.
T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)).
L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y).
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.
((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z.
x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x).
x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x).
(x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y.
((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)).
((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)).
((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y).
((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y).
(R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1).
(L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x).
(x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z.
R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u).
x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1).
x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1).
R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z).
(x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1).
x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z).
(x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)).
((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1.
(x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y).
(1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y).
(1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x.
T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x).
(1 / (x / y)) \ (y / x) = (y / x) * (x / y).
(x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y.
(1 / ((x \ y) / y)) \ x = x * ((x \ y) / y).
(1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x.
T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x.
T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x).
R(x,T(1 / x,y),x) = T(x,T(1 / x,y)).
R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z).
T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x).
R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1).
L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y).
(x / y) / ((y / x) \ 1) = (y / x) * (x / y).
((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1).
x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x.
((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1).
x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y.
x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y.
x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y.
K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y.
x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y.
x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y).
K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x).
K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y).
x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x).
(x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y.
(1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y.
T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y).
K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y.
K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x).
L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)).
L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y).
L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y).
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
(L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w).
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
(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) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)).
(x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)).
T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x).
T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x.
T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z.
T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)).
(x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)).
T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z.
(L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w).
x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w).
(R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x.
(R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u).
((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u).
(x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y.
(((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w).
(x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z).
L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)).
K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1).
K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1).
K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1).
K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1).
K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y).
T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x).
T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x).
T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y).
L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)).
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
(x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w).
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
(x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y.
((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w).
(x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)).
(x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x).
K(x,(x / y) / x) = y * ((x * (y \ 1)) / x).
x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z.
K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x).
(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).
T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)).
x * K(x,(x / y) / x) = T(x,x / (x * y)).
x * K(y,(y / (x \ 1)) / y) = (y * x) / y.
K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x).
K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)).
T(x,x / (x * (y \ x))) = x * K(x,y / x).
T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x).
T(x,R(y,x,(y * x) \ x)) = x * K(x,y).
T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z).
x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x).
x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z).
(x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)).
K(x,y) / (x \ 1) = x * K(x,y).
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)).
x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y.
(x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u).
(x * R(y,z,u)) * y = (x * y) * R(y,z,u).
(x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y.
R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y).
(x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u).
R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z).
R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z).
(x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)).
(x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w).
(x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y.
(((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w).
(1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x).
((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x).
(x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1).
T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y.
T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y.
T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y.
T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z).
T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)).
T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)).
T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,T(x / y,y)) = T(x,x * (y \ 1)).
T(x,x * (y \ 1)) = T(x,y \ x).
L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)).
R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)).
L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y.
(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))).
(T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))).
T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1).
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).
L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))).
T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z).
L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z).
(x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)).
(x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)).
K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))).
x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y).
(x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)).
x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y).
(x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y.
(x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y).
K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)).
(x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y).
(x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y).
(x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y).
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).
T(x * (y / (x * y)),x) = x * R(1 / x,x,y).
T(x * (y / (x * y)),x) = x * (y / (x * y)).
T(x,x * (y / (x * y))) = x.
T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)).
T(x,x * ((x \ y) / y)) = x.
T(x / y,(x / y) * (y / x)) = x / y.
T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y).
T(x / (y * x),(x / (y * x)) * y) = x / (y * x).
T(x \ y,(y / x) * (x / y)) = T(y / x,x).
T(x \ y,(y / x) * (x / y)) = x \ y.
K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x.
K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y.
T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y.
(x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z).
(x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)).
T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x).
T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y).
(x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x).
T((x \ 1) * (x * y),x) = (x \ 1) * (y * x).
((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1).
T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z.
x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y).
x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y).
(x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z).
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).
K(x,(x / T(x,y)) / x) = T(x * (1 / x),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,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y).
T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x).
T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y).
T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y).
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(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).
T(K(x,y),K(z,x)) = K(x,y).
T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)).
T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)).
T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1).
K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y).
(x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y.
(x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y).
L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y).
K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)).
T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)).
(x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)).
(x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y.
(x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)).
(x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)).
(x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1).
(x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1).
T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)).
K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1.
T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y).
((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x).
L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y).
(((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)).
x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (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.
((x * y) \ x) / (1 / y) = ((x * y) \ x) * y.
L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x).
(x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y).
K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x).
L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x.
x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1).
x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1).
K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x.
K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1.
(x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z.
(x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z.
(x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1.
(L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)).
x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1).
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))).
(T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / 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 * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x).
(x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1.
(x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y).
((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1).
((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)).
L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z.
R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)).
T(x,R(x \ 1,x,y)) = T(x,y / (x * y)).
(x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)).
((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x).
(x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x.
((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x).
K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u).
T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y).
T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y).
T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y).
((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y).
(x \ 1) / (x \ T(x,y)) = T(x,y) \ 1.
T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1).
(x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1.
(x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1.
(x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1.
(x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1.
(x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1.
x / (T(1 / x,y) \ 1) = x * T(x \ 1,y).
K(x \ (x / y),x) \ y = T(1 / y,x) \ 1.
x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u).
T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y).
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).
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).
T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y).
(1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x.
(T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ 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.
(T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x).
T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y).
T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1).
(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).
T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z.
T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y).
(1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y).
T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z).
T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1).
T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,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,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y).
T(x,T(x,y) \ 1) = (x \ 1) \ 1.
(((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1).
((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1).
T(x,T(x,y) \ 1) = x * K(x,x \ 1).
(T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1.
T(K(x,x \ 1),y) = K(x,x \ 1).
K(K(x,x \ 1),y) = 1.
T(x,K(y,y \ 1)) = x.
T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x.
K(x,x \ 1) * y = y * K(x,x \ 1).
x * K(y,y \ 1) != z | K(y,y \ 1) * x = z.
K(K(x \ 1,x),y) = 1.
K(x,x \ 1) * y != z * K(x,x \ 1) | z = y.
K(x,x \ 1) * y != z | y * K(x,x \ 1) = z.
T(x,K(y \ 1,y)) = x.
T(K(x \ 1,x),y) = K(x \ 1,x).
K(x \ 1,x) * y = y * K(x \ 1,x).
K(x \ 1,x) * y != z * K(x \ 1,x) | z = y.
K(x \ 1,x) * y != z | y * K(x \ 1,x) = z.
K(x \ (x / T(x,y)),x) = K(x \ 1,x).
((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)).
K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x).
x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)).
(x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z).
R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z).
K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x).
x * K(x \ (x / T(x,y)),x) = 1 / (1 / x).
(x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1.
(T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x.
T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x.
x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z.
(((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z.
(K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)).
T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w).
((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x).
(T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1).
x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x.
(T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x).
(T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1).
(T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x.
(x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z).
K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z).
K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y.
K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1.
T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y).
(x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y).
((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x).
((x / y) * (y / x)) \ (x / y) = 1 / (y / x).
((x / y) * (y / x)) * (1 / (y / x)) = x / y.
K(1 / (x / y),(y / x) * (x / y)) = 1.
K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1.
((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))).
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.
L(x \ 1,x,R(1 / x,x,y)) = 1 / x.
((x / (y * x)) * y) * (1 / y) = x / (y * x).
R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x.
R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1).
x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1).
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.
x \ T(x,y / (x * y)) = K(x,x \ 1).
K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x.
x / (1 / (y / (x * y))) = x * (y / (x * y)).
K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)).
R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x).
K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x).
K(x,(y * x) \ y) * x = T(x,(y * x) \ y).
x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y.
(((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y.
(x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y.
(x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u.
(x * ((x / y) / x)) * y = T(x,x / (x * y)).
x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y.
x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x).
(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,x / (x * y)) != z | (x * ((x / y) / x)) * y = z.
(L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)).
(L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x).
x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z).
(x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)).
(x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x.
x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x.
x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x.
x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x.
(L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x).
T(x,L(x \ 1,y,z) * x) = x.
T(x \ y,(y \ x) * (x \ y)) = x \ y.
T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y).
R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y).
T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)).
T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)).
T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)).
T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)).
T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))).
T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))).
T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x).
T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x).
T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x).
L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x).
L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x).
T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x).
x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y).
L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y).
K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)).
K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y).
T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x.
K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x).
L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x).
K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x).
(x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1).
T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z).
T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1).
T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1).
R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1).
R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z).
R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z).
K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)).
T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)).
K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x).
K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x).
(x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x).
(x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x.
(x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y).
(x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)).
(x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y.
(x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1.
K(x \ 1,x * ((y * x) \ y)) = 1.
T(x,(y * x) \ y) = (x \ 1) \ 1.
T(1 / (1 / x),(y * x) \ y) / 1 = x.
T(x,(y * x) \ y) = T(x,x \ 1).
K(x,(y * x) \ y) = ((x \ 1) \ 1) / x.
T(x \ y,y \ x) = ((x \ y) \ 1) \ 1.
T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1).
T(1 / (1 / x),(y * x) \ y) = x.
T(1 / (1 / (x \ y)),y \ x) = x \ y.
(((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y).
K(x,(y * x) \ y) = K(x,x \ 1).
K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x).
K(x,y \ (y / x)) = K(x,x \ 1).
K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1).
K(x,(y * x) \ y) \ 1 = K(x \ 1,x).
T(K(x,(y * x) \ y),z) = K(x,x \ 1).
K((x / y) \ x,z \ (z / y)) = K(y,y \ 1).
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.
x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1).
K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1).
(x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1.
T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x).
K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y).
L(x,(y * x) \ y,x) = 1 / (1 / x).
L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)).
L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)).
L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)).
x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))).
T(x / y,x \ y) = ((x / y) \ 1) \ 1.
T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)).
T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1.
(K(x,y) \ 1) \ 1 = K(x,y).
1 / (1 / K(x,y)) = K(x,y).
x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))).
(x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))).
L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)).
L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)).
K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1).
K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x).
T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y).
T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1).
T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x).
((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y).
1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1.
(x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)).
T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)).
T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x).
L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x).
L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y).
L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z.
L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z.
(x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))).
(x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x).
(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).
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y).
L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y.
(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.
(T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x).
((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x).
(x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z).
L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y).
K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x).
K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x).
T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1).
T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x).
T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x).
T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1).
x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x).
x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1).
x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1).
((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)).
(x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)).
(1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x).
(K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x).
K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z.
L(x,y,K(x,x \ 1)) = x.
L(1 / x,y,K(x \ 1,x)) = 1 / x.
L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y).
(1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x).
(1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x).
T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x).
T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x).
x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x).
(K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x).
L(x,y,K(x \ 1,x)) = x.
L(T(x,y),z,K(x \ 1,x)) = T(x,y).
T(x,K(x \ 1,x) * y) = T(x,y).
T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y).
(1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1).
(1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x).
(1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1).
(1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1).
(x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)).
(x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)).
R(x,y,K(x \ 1,x)) = x.
x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x).
R(T(x,y),z,K(x \ 1,x)) = T(x,y).
(T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x).
(T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)).
(T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)).
(x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y).
x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y).
(T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)).
(x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)).
(x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))).
L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y).
L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y).
L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y).
L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y).
L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y).
K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1.
K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1.
K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u).
K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u).
R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y).
R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z).
R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)).
R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)).
R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z).
(((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x).
(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1).
(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y).
K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)).
K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)).
R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x.
R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x.
R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x.
R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u.
K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)).
K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)).
L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x).
(1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x).
(1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x).
(1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x).
(1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x).
(x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x.
1 / (x \ T(x,y)) = T(x,y) \ x.
(x \ T(x,y)) \ 1 = T(x,y) \ x.
x * ((T(x,y) \ x) \ 1) = T(x,y).
(R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z).
T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1.
T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1.
((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y).
(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,x,(y * x) \ x)) \ x = K(x,y) \ 1.
(R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z).
K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x.
K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x.
K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x.
K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x.
(x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y).
x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y).
x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y).
R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z).
K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)).
K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)).
L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y).
T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)).
T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)).
T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y).
T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z.
K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)).
(x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1).
(x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1).
(x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u.
(x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u.
K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y).
(((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x).
(((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x).
T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x).
K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x).
T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)).
T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y).
K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z).
((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1).
((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y).
((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)).
((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y).
(x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y).
(x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y).
(x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)).
K((x \ y) \ 1,x \ y) = K(y \ x,x \ y).
K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x).
x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1).
L(K(x,x \ 1),x,y) = K(x,(y * x) \ y).
(x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x).
L(K(x,x \ 1),x,y) = K(x,x \ 1).
K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x).
L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1).
K((x * y) \ x,y) = K(y \ 1,y).
K(x \ (x / y),y) = K(y \ 1,y).
K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)).
K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))).
K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)).
L(K(x \ 1,x),1 / x,y) = K(x \ 1,x).
(x * (y \ 1)) / K(y \ 1,y) = x * (1 / y).
(x / (y \ 1)) * (1 / y) = x / K(y \ 1,y).
R(x,y \ 1,y) / y = x * (1 / y).
(x * K(y \ 1,y)) / (y \ 1) = x / (1 / y).
(x * (1 / y)) * K(y \ 1,y) = x * (y \ 1).
R(x,1 / y,y) = R(x,y \ 1,y).
R(x / (1 / y),y \ 1,y) = x * y.
(x / (1 / y)) * (y \ 1) = x * K(y \ 1,y).
R(x,1 / y,K(y \ 1,y)) = x.
R(x,1 / (1 / y),K(y,y \ 1)) = x.
(x * K(y,y \ 1)) / y = x / (1 / (1 / y)).
(x * (1 / (1 / y))) * K(y,y \ 1) = x * y.
(x * (y \ 1)) / (1 / y) = x * K(y \ 1,y).
(x / y) * K(y,y \ 1) = x / (1 / (1 / y)).
x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x.
(x * K(y \ 1,y)) * (1 / y) = x * (y \ 1).
R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y.
x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)).
1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))).
x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))).
1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)).
(x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)).
x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)).
(x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)).
1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1.
x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))).
x / L(y,y \ 1,x) = x * (1 / y).
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).
(x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)).
((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)).
T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)).
x * T(x \ (x / y),y) = x / ((y \ 1) \ 1).
(x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1).
T((x / y) / x,y) = (x / ((y \ 1) \ 1)) / x.
(x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y).
(x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y).
(x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y.
(x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x.
(x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y.
T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y.
(K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x.
K(x \ 1,x) * (y * T(x,x \ 1)) = y * x.
(x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y).
x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x.
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,(x * y) \ x).
(x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1).
(x * y) * K(y,y \ 1) = x * T(y,y \ 1).
K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1).
(x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1).
(x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1).
(x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1).
K(x,x \ 1) * (y * x) = y * T(x,x \ 1).
(x / y) * T(y,y \ 1) = x * K(y,y \ 1).
(K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1).
(x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1).
(T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x.
(K(x \ 1,x) * y) * K(x,x \ 1) = y.
(x * K(y \ 1,y)) * K(y,y \ 1) = x.
K(x \ 1,x) * (y * K(x,x \ 1)) = y.
K(x \ 1,x) * (y * x) = y * (1 / (1 / x)).
K(x,x \ 1) * (K(x \ 1,x) * y) = y.
K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y).
K(x \ 1,x) * (K(x,x \ 1) * y) = y.
K(x,x \ 1) \ y = K(x \ 1,x) * y.
K(x,x \ 1) * y != z | K(x \ 1,x) * z = y.
K(x,x \ 1) * (y * K(x \ 1,x)) = y.
x / K(y \ 1,y) = x * K(y,y \ 1).
(x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z).
K(x,x \ 1) * y != z | z * K(x \ 1,x) = y.
K(x \ 1,x) * y != z | z * K(x,x \ 1) = y.
L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z).
K(x \ 1,x) \ y = K(x,x \ 1) * y.
K(x \ 1,x) * y != z | K(x,x \ 1) * z = y.
x * K(y \ 1,y) != z | K(y,y \ 1) * z = x.
(x / (y \ 1)) * (1 / y) = x * K(y,y \ 1).
K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y).
K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x.
K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x.
K(x / (y * x),y) = K(y \ 1,y).
K((x / y) \ 1,x / y) = K(y / x,x / y).
K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)).
K(x,T(x,y) \ 1) = K(x,x \ 1).
T(K(x,x \ 1),y) = K(x,T(x,z) \ 1).
T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1).
(x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)).
(x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)).
K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)).
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.
K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)).
K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1).
K(T(x,y),1 / x) = K(T(x,y),x \ 1).
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).
(x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1).
(x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y.
(x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y.
(T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y).
K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x.
K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x.
K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x.
(T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y).
(T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z.
K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))).
K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x).
(x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)).
K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)).
x \ T(x,y / (x * y)) = K(x,y / (x * y)).
K(x,y / (x * y)) = K(x,x \ 1).
K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1).
K(x / y,(x / y) \ 1) = K(x / y,y / x).
K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1).
K(x,x \ 1) * (x * y) = T(x,x \ 1) * y.
K(x \ 1,x) * (T(x,x \ 1) * y) = x * y.
(x * y) * K(x,x \ 1) = T(x,x \ 1) * y.
T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y.
L(x,y,K(y,y \ 1)) = x.
(T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x.
L(x,K(y,y \ 1),y) = x.
K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y.
L(x,K(y,y \ 1),1 / (1 / y)) = x.
L(x,K(y \ 1,y),1 / y) = x.
L(x,1 / y,K(1 / y,y)) = x.
L(x,1 / y,K(y \ 1,y)) = x.
x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y.
(1 / x) * (x * y) = L(y,x,x \ 1).
L(x,y,1 / y) = L(x,y,y \ 1).
(1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y.
L(x,1 / (1 / y),K(y,y \ 1)) = x.
K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y.
K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y.
L(x \ y,x,x \ 1) = (1 / x) * y.
x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x.
(1 / (1 / x)) * (K(x,x \ 1) * y) = x * y.
L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x).
L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y).
K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y.
T(x,(1 / x) * y) = T(x,(x \ 1) * y).
T(x,x \ 1) * (K(x \ 1,x) * y) = x * y.
(x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y.
x * (y * K(x,x \ 1)) = T(x,x \ 1) * y.
x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y.
R(x,K(x,x \ 1),y) = x.
R(1 / x,K(x \ 1,x),y) = 1 / x.
R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y).
(x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y.
(((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x.
x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y.
(x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y.
K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y.
(x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y.
K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y.
((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y.
((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z).
((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) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)).
x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y.
(x * y) * K(x \ 1,x) = (1 / (1 / x)) * y.
K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y).
((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y.
K(T(x,y),x \ 1) = K(x,x \ 1).
K(T(x,y),T(x,y) \ 1) = K(x,x \ 1).
T(x,y) \ K(x,x \ 1) = 1 / T(x,y).
(T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z.
(T(x,y) \ x) / x = 1 / T(x,y).
(1 / T(x,y)) * x = T(x,y) \ x.
x / T(x,y) = T(x,y) \ x.
T(1 / T(x,y),x) = T(x,y) \ 1.
(T(x,y) \ x) * T(x,y) = x.
(T(x,y) \ x) \ x = T(x,y).
L(x,T(x,y) \ x,x) = x.
(x * y) * T(K(y,x),x) = y * x.
K(x \ 1,x) / T(x,y) = T(x,y) \ 1.
T(K(x,y),y) = K(x,y).
T(x,K(y,x)) = x.
(x * K(y,x)) / x = K(y,x).
T(T(x,y),K(z,x)) = T(x,y).
T(x,y \ T(y,x)) = x.
T(x,x \ ((y * x) / y)) = x.
x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y).
(x \ T(x,y)) * y = y * (x \ T(x,y)).
(x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u.
L(K(x,y),y,1 / y) = K(x,y).
T(K(x,y),T(y,z)) = K(x,y).
((x * y) / x) / y = y \ ((x * y) / x).
K(K(x,y),T(y,z)) = 1.
K(x \ T(x,y),T(y,z)) = 1.
T(x \ T(x,y),T(y,z)) = x \ T(x,y).
(1 / x) * (x * K(y,x)) = K(y,x).
(x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1).
(T(x,y) \ 1) * T(x,y) = K(x \ 1,x).
x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x).
x * (((y * x) / y) / x) = (y * x) / y.
R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z).
K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x).
(x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y.
K((x * y) \ y,y \ (x * y)) = K(x \ 1,x).
K((x / y) \ 1,x / y) = K(x \ y,y \ x).
T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y).
(x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x).
(1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y.
((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x).
(x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y.
L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y).
(x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x).
K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)).
x \ L(y,1 / x,x) = (x \ 1) * y.
(x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1).
(x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u.
L(x,1 / y,y) = L(x,y \ 1,y).
L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1).
((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1).
(1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y.
T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z.
((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z.
((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1).
(x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1).
x * (T(x,y) / x) = T(x,y).
T(x,y) / x = x \ T(x,y).
(x \ T(x,y)) * x = T(x,y).
x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x).
(1 / x) * T((1 / x) \ 1,y) = x \ T(x,y).
(x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y).
(x \ T(x,y)) * x != z | T(x,y) = z.
R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x.
(x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z).
T(x,x \ T(x,y)) = x.
T(x,R(1 / y,y,x)) = T(x,x / (x * y)).
T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)).
(x \ ((x \ y) \ y)) * x = T(x,x \ y).
T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z).
(T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u.
L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)).
K(x,x \ T(x,y)) = 1.
T(x,K(y \ (y / (x \ 1)),y)) = x.
K(x,T(x,y) / x) = 1.
T(1 / x,T(x,y)) = x \ 1.
T(1 / (1 / x),T(1 / x,y)) = x.
L(x \ 1,x,y \ ((x * y) / x)) = x \ 1.
T(x \ 1,T(x,y)) = T(x \ 1,x).
T(x / (y * x),T(y,z)) = R(y \ 1,y,x).
x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)).
(((x * y) / x) \ y) \ y = (x * y) / x.
T(x,T(1 / x,y)) = T(x,x \ 1).
T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y).
(((x * y) / x) \ y) * ((x * y) / x) = y.
(((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z).
T(x,x / (y * x)) = T(x,x / (x * y)).
L(x \ 1,x,T(y,x) \ y) = x \ 1.
L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y.
(1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)).
L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y).
(x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1).
K(x \ 1,T(x,y)) = x * T(x \ 1,x).
K(x \ 1,T(x,y)) = K(x \ 1,x).
R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z.
(((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y).
T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)).
T(x,y \ ((x * y) / x)) = x.
T(x,T(y,x) \ y) = x.
(T(x,y) \ x) * y = y * (T(x,y) \ x).
T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y).
(x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x.
L(x,x \ T(x,y),x) = x.
L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x).
K(1 / x,y) = K(x \ 1,y).
K(1 / (1 / x),y) = K(x,y).
K((x \ 1) \ 1,y) = K(x,y).
T(K(x,y),x) = K(x,y).
(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x).
K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z).
K(x / y,(x / y) \ 1) = K(y \ x,x \ y).
K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y).
(K(x,y) \ y) * K(x,y) = y.
x / K(y,x) = K(y,x) \ x.
(x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x).
((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y).
(x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1).
(1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)).
T(x,1 / (1 / y)) = T(x,y).
T(x,(y \ 1) \ 1) = T(x,y).
T(x,T(y,y \ 1)) = T(x,y).
T(x,x \ 1) * T(y,x) = y * T(x,x \ 1).
T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1.
T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1.
K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1.
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).
L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y).
(x * (T(y,x) \ y)) \ x = y \ T(y,x).
x / (y \ T(y,x)) = x * (T(y,x) \ y).
x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)).
T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x).
T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z.
R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1.
R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1.
T(x,R(y \ 1,y,z)) = T(x,z / (y * z)).
T(x,R(y \ 1,y,x)) = T(x,x / (x * y)).
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)).
x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)).
K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z.
(T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z.
(T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z.
x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1).
L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)).
x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x).
T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)).
T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1).
((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z.
(x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z).
(x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y).
(x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y).
(x * (y \ T(y,x))) \ x = T(y,x) \ y.
R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x.
(T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z.
(1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z).
L(x \ 1,x,K(y,x) \ 1) = x \ 1.
T(x,K(y,x) \ 1) = x.
(K(x,y) \ 1) * y = y * (K(x,y) \ 1).
(x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1).
(x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1.
(T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z.
K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z.
T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z.
T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z.
T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z).
T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z).
(1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z.
((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z.
((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y.
x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x.
(1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z).
K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z.
(T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1.
((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z).
((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y).
R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1).
T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z).
T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z).
((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z.
R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y.
T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))).
R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y.
R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u).
R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)).
T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)).
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)) \ x = x * (T(x,y) \ x).
(x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x).
x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x.
x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x.
T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y).
(x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x).
x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x.
(T(x,y) \ x) \ y = y * (x \ T(x,y)).
(T(x,y) \ x) * (y * (x \ T(x,y))) = y.
x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x.
x * (K(x,y) \ 1) = K(x,y) \ x.
T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1).
T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1).
R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1).
R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z).
R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1).
a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1).
R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1.
x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x).
x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x).
K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u.
(((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z).
(x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1).
L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u.
((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z).
R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y).
R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y).
R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y).
(x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z.
(x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z.
(x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z.
(x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z.
L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)).
L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u.
(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.
x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x).
x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x).
x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x).
x * (((x * y) \ (y * x)) \ 1) = x / K(y,x).
x * (K(y,x) \ 1) = x / K(y,x).
x * (K(y,x) \ 1) = K(y,x) \ x.
(K(x,y) \ 1) \ (K(x,y) \ y) = y.
(K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1.
(K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z).
(K(x,y) \ y) * (y \ 1) = K(x,y) \ 1.
R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1).
K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z).
(K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z).
R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1).
x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y).
K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)).
K(x,(y \ 1) \ 1) = K(x,y).
K(x,T(y / z,y \ z)) = K(x,y / z).
K(x,T((y / z) / y,z)) = K(x,(y / z) / y).
K(x,(y / ((z \ 1) \ 1)) / y) = K(x,(y / z) / y).
T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x).
x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x.
(x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
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).
R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)).
K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z).
K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z).
K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z).
K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1.
((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1.
((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1.
(x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u.
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x).
(((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u.
(R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z.
(R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z.
R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z).
R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y).
R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)).
R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x).
R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1).
R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1).
R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1).
(((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w).
(((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u).
(((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z).
R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z).
R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z).
((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z).
(x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1.
(x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1.
((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1.
(x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1.
R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x).
(((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w).
(((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u).
(((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z).
R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z).
R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z).
R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)).
R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z).
R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z).
R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1).
(R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z).
R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z).
R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)).
1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1.
R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1.
R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1).
(x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y.
(x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y.
((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z.
((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z.
K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1).
K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1).
((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)).
K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z).
(x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1.
K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1).
K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)).
x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)).
R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)).
R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)).
R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z).
R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)).
K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)).
(R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)).
K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z.
K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z.
K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z).
K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z.
R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)).
R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)).
(K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z).
L(x,y,K(z,R(z \ 1,y,x))) = x.
K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1).
K(x,R(x \ 1,y,z)) = K(x,x \ 1).
(x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z).
L(x,y,K(z,z \ 1)) = x.
(K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z).
L(x,y,K(z \ 1,z)) = x.
((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y.
K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y.
L(x,y,1 / z) = L(x,y,z \ 1).
(x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z).
(K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z).
(K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z).
(x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z).
L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1).
L(x,y,(z \ 1) \ 1) = L(x,y,z).
L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y).
K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y.
((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y.
L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z).
(x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y.
(1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1).
(K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z).
K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z.
K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z.
K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y.
K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y.
(1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x).
((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z.
x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u.
((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u).
T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y).
(K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z).
a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x.
(x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y).
T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))).
R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)).
R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y).
R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)).
(K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u).
K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u).
R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u).
R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x.
(x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y).
(x \ R(x * y,z,u)) * x = R(y * x,z,u).
R(x * y,z,u) / y = y \ R(y * x,z,u).
R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x.
x \ R(x * (y / x),z,u) = R(y,z,u) / x.
R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)).
R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x.
R(x * (y / x),z,u) = x * (R(y,z,u) / x).
R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)).
(x \ (x * y)) * x = (x * (y \ T(y,x))) * y.
(x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1).
(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.
T(x,y) * (y \ T(y,T(x,y))) = x.
(x / y) \ T(x / y,y) = y \ (x / (x / y)).
T(x,y) \ x = y \ T(y,T(x,y)).
x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1).
((x * y) / x) / y = x \ T(x,y).
K(x,(x / (y \ 1)) / x) = x \ T(x,y).
(x \ T(x,y)) * y = (x * y) / x.
((x * y) / x) * (y \ 1) = x \ T(x,y).
((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)).
((x * y) / x) \ y = T(x,y) \ x.
(T(x,y) \ x) * ((x * y) / x) = y.
T(x,T(y,x)) \ x = y \ T(y,x).
R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z).
(a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * 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).
L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y.
T(x,T(y,x)) * (y \ T(y,x)) = x.
x * (y \ T(y,z)) != z | T(z,T(y,z)) = x.
(x \ T(x,y)) \ y = T(y,T(x,y)).
(x * (T(x,T(y,x)) \ x)) * y = y * x.
(x * y) / x = y * (T(y,T(x,y)) \ y).
L(x,y \ T(y,x),y) = x.
T(x,y) \ (y * (x \ T(x,y))) = x \ y.
(x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)).
(x \ y) * (x \ ((x \ y) \ y)) = y / x.
K(x,(x / y) / x) = x \ T(x,y \ 1).
T(x * (T(x,T(y,x)) \ x),y) = x.
T(x,y) \ ((x * y) / x) = x \ y.
T(x / y,T(y,x)) = y \ x.
T(x,y) * (x \ y) = (x * y) / x.
T(x / ((x * y) / x),y) = ((x * y) / x) \ x.
T(x \ y,T(x,y)) = T(x \ y,x).
x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)).
T(x,x / (x / y)) = T(x,y).
T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x.
T(x,y) * y = x * ((x * y) / x).
T(x,x / (1 / y)) = T(x,x * y).
(x / T(y,x)) * y = T(x,T(y,x)).
(x / y) \ T(x,y) = (x * y) / x.
T(x,x / y) = T(x,y \ x).
T(x,T(y,x)) * (y * x) = x * (x * y).
T(x,(y \ 1) \ x) = T(x,y * x).
x \ (y * T(y \ x,T(y,x))) = K(y \ x,y).
T(x,x \ y) * (x \ y) = x * (y / x).
R(T(x,x * y),y,x) = (x / T(y,x)) * y.
((x * y) * y) / (x * y) = x \ T(x * y,y).
(x \ y) \ (y / x) = x \ ((x \ y) \ y).
x * K(x,(x / y) / x) = T(x,y \ 1).
R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x).
T(x,x \ y) * y = x * (x * (y / x)).
T(x,x / (x * y)) = T(x,y \ 1).
(x * ((x / y) / x)) * y = T(x,y \ 1).
T(x,R(y \ 1,y,x)) = T(x,y \ 1).
T(x,x / (y * x)) = T(x,y \ 1).
T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x).
T(x * ((x / y) / x),y) = y \ T(x,y \ 1).
x \ T(y,x \ 1) = y * ((x \ y) / y).
x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1).
x \ (y \ T(x,y \ 1)) = (y \ x) / x.
R(T(x,x * y),y,x) = T(x,T(y,x)).
(x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y).
L(R(x,y,x),y,x) * y = y * T(x,T(y,x)).
(x / y) \ (y \ x) = y \ (x / (x / y)).
T(x,x \ y) \ x = x \ (y / (y / x)).
x / (x / y) = y * (T(y,y \ x) \ y).
(x * y) / ((x * y) / x) = x * (T(x,y) \ x).
(x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1).
K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z).
(x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)).
(x \ T(x * y,y)) * x = x * R(y,x,y).
(x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)).
T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x.
T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y).
(x / ((x * y) / x)) * y = x * (T(x,y) \ x).
x / (y \ ((y * x) / y)) = y * (T(y,x) \ y).
T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x).
T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y).
x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x).
(x * (T(x,y) \ x)) \ y = x \ ((x * y) / x).
((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y).
(((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y).
K(x \ y,T(x,y)) = K(x \ y,x).
K(x \ (x * y),x) = K(y,T(x,x * y)).
K(x,T(y,y * x)) = K(x,y).
K(x \ 1,T(y,x \ y)) = K(x \ 1,y).
K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y).
x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z).
((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)).
x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y.
K((x \ 1) \ 1,y) = K(x,T(y,x * y)).
K(x,T(y,x * y)) = K(x,y).
K(x,T(x \ y,y)) = K(x,x \ y).
T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1).
((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x.
((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x.
((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y.
R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1).
(x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z.
(x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z).
((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y).
((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y.
L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y.
((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).
(a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / 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.
T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y).
x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)).
(((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y.
x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x.
x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x.
(((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)).
T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y).
(a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z.
T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y).
(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 * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x.
x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x.
x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x.
((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x).
T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u.
T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x.
T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x.
(x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y.
(x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y.
(x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y.
(x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1).
K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z.
(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)).
K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z).
(a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x.
(a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x.
(a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)).
((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x).
(x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1).
((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x).
(1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x).
x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x).
x / T(y,y \ T(x,x \ 1)) = y \ x.
(1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)).
K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)).
K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z.
x * K(y \ (1 / (1 / x)),y) = (y \ x) * y.
((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y.
(1 / x) * ((y \ x) * y) = ((y \ x) * y) / x.
(x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y).
((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)).
x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z).
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.
L(x,y \ T(y,z),y) = x.
(x \ T(x,y)) * z = T(x,y) * (x \ z).
(x \ T(x,x \ y)) * y = x * (y / x).
(x \ T(x,y)) * (x * z) = T(x,y) * z.
x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z.
(x \ T(x,y)) \ z = x * (T(x,y) \ z).
L(x,T(y,T(z,y)) \ y,z) = x.
L(x,T(y,z) \ y,(y * z) / y) = x.
x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z.
T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z).
T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z.
(T(x,y) * z) / (x * z) = x \ T(x,y).
(x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u.
R(x \ T(x,y),x,z) = x \ T(x,y).
(x * T(x \ y,z)) / y = (y / x) \ T(y / x,z).
(T(x,y) \ x) * (x * y) = y * x.
K(x,y) = T(T(y,x) \ y,y * x).
(x * y) / (y * x) = T(y,x) \ y.
T(x,y / x) \ x = y / (x * (y / x)).
T(T(x,x \ y) \ x,y) = K(x \ y,x).
T(x / y,y) \ (x / y) = (y * (x / y)) / x.
T(x,y) = x * (((y * x) / (x * y)) \ 1).
T(x \ (y / (y / x)),y) = K(x \ y,x).
T(x,(x \ 1) * (y * x)) = T(x,y).
T(x,T((x \ 1) * y,x)) = T(x,x \ y).
x * (((y * x) / y) \ z) = (T(y,x) \ y) * z.
(x * (y / x)) / y = (x \ y) \ (y / x).
(x * (y / x)) / y = x \ ((x \ y) \ y).
x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1).
R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z.
((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z).
(x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)).
T(x,x \ (y \ x)) = T(x,y \ 1).
x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x.
x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x).
T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x.
T(x,y \ 1) \ x = y * T(y \ 1,x).
T(x,(y \ 1) \ 1) \ x = y \ T(y,x).
(T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y).
T(x,y) \ x = y \ T(y,x).
T(x,y / x) \ x = x \ (y / (y / x)).
T(x,y) * (y \ T(y,x)) = x.
(x * y) / x = y * (T(y,x) \ y).
T(x,y) * (x \ z) = (T(y,x) \ y) * z.
T(x,T(y,x)) = T(x,y).
T(x,x \ y) \ y = T(x \ y,x).
T(x,(x \ 1) * y) = T(x,x \ y).
T(x * (T(x,y) \ x),y) = x.
R(x,y,x) * (x * y) = (x * y) * T(x,y).
L(R(x,y,x),y,x) = x.
T(x \ T(x * y,y),T(x * y,y)) = y.
((x * y) / x) \ x = y \ ((y * x) / y).
(x \ T(x,x \ y)) \ y = x * T(x \ y,x).
(((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y.
x / (y * (x / y)) = y \ (x / (x / y)).
K(x,x \ T(x * y,y)) = K(x,y).
K(x,y) = (x * R(y,x,y)) \ T(x * y,y).
R(x,y,T(x,y)) = R(x,y,x).
x * R(y,x,y) = T(y * x,y).
K(x,y) = T(y * x,y) \ T(x * y,y).
K(x \ T(x * y,x),x) = K(y,x).
K(x \ T(y,x),x) = K(x \ y,x).
K(x \ ((x * y) / x),x) = K(x \ y,x).
K(((x * y) / x) \ x,y) = K(y \ x,y).
(x * ((y \ x) * y)) / x = x * K(y \ x,y).
(x \ T(x,x \ y)) \ y = (x \ y) * x.
(x \ ((x \ y) \ y)) \ y = (x \ y) * x.
x / ((y \ x) * y) = y \ ((y \ x) \ x).
(x * (y / x)) / y = y / ((x \ y) * x).
T(x,(y \ x) * y) = x.
T((x \ y) * x,y) = (x \ y) * x.
T(x * (y / x),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.
T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)).
T(x,T(y \ 1,x)) = T(x,(y \ z) / z).
T(x,(y \ z) / z) = T(x,y \ 1).
T(x,(y / z) \ 1) = T(x,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).
R(x \ T(x,y),y,z) = x \ T(x,y).
T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)).
T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z.
(((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z).
(((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x).
(x \ T(x,y)) \ z = (T(x,y) \ x) * z.
(T(x,y) \ x) * (T(x,y) * z) = x * z.
(T(x,y) \ x) \ z = T(x,y) * (x \ z).
T(x,y) * (x \ (T(y,x) * z)) = y * z.
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)).
(1 / x) * ((y \ x) * y) = y \ (x / (x / y)).
L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))).
T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z.
(T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1.
T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z.
T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y).
x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x).
L(x,T(y \ 1,z),y) = y * ((y \ 1) * x).
L(x,T(y \ 1,z),y) = L(x,y \ 1,y).
L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z).
T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)).
T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z).
L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)).
L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y.
(x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1).
R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)).
R(x,K(y \ 1,y),(1 / y) * z) = x.
R(x,K(y \ 1,y),z) = x.
R(x,y,K(z \ 1,z)) = x.
(x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z).
x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y).
K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z).
(x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x).
x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z).
(x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z).
L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x).
L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(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).
L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x.
L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x.
(x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))).
x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y.
x * (y \ (x / (x / y))) = (y \ x) * y.
x \ (y / (y / x)) = K(x \ y,x).
T(K(x \ y,x),y) = K(x \ y,x).
T(x,K(y \ x,y)) = x.
T(x * y,K(y,x)) = x * y.
K(x,y) * K(y,x) = 1.
K(c14,c15) * K(c15,c14) != 1.
T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z).
((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z).
((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u.
T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1.
T(x,((y * x) / y) \ 1) = (x \ 1) \ 1.
T(x / y,y / x) = ((x / y) \ 1) \ 1.
((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)).
T(x,((y * x) / y) \ 1) = T(x,y / (y * x)).
T(x,y / (y * x)) = (x \ 1) \ 1.
T(x \ y,x / y) = ((x \ y) \ 1) \ 1.
T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1.
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.
T(x,K(x,y)) = x.
K(x,y) * x != z | x * K(x,y) = z.
(((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1).
x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1.
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).
T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x.
T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x.
T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z.
K(x,y) \ y != y * z | K(x,y) \ 1 = z.
x \ ((y * x) / y) = y \ T(y,x).
T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x.
T(x,R(y,y \ 1,x)) = T(x,y).
T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z.
K(x \ (x / y),x) = T(x,y \ 1) \ x.
K(x \ (x / y),x) \ x = T(x,y \ 1).
T(x,(y \ x) \ 1) = K(x \ y,x) \ x.
K(x \ y,x) \ x = x * K(x,y / x).
K(x \ y,x) \ 1 = K(x,y / x).
K(x,(x * y) / x) = K(y,x) \ 1.
K(T(x,y),y) \ 1 = K(y,x).
K(T(x,y),y) * K(y,x) = 1.
K(x,y) = T(y,x) \ y.
K(x,y) = x \ T(x,y).
K(T(x,y),y) = x \ T(x,y).
K(T(x,y),y) = K(x,y).
K(K(x,y),z) = K(x,K(y,z)).
K(K(c1,c2),c3) != K(c1,K(c2,c3)).
x \ (y * (x / y)) = K(y,x / y).
L(x,y / x,z) = (z * (y / x)) \ (z * y).
x \ (y * T(x,y)) = y.
x / (y * (y \ 1)) != z | z = x.
x * y != z | y * T(x,y) = z.
((x / y) \ x) * z != u | y \ u = z.
L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y).
L(x \ y,x,z / x) = z \ ((z / x) * y).
R(x / y,y,y \ z) = (x * (y \ z)) / z.
(((x / y) / z) * z) * y != u * w | x / w = u.
L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y).
x \ (L(y,z,x) * (x * z)) = z * T(y,x * z).
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)).
(x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u.
x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z).
(1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z).
R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)).
L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y.
(x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x).
(x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z).
x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z).
(x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u.
((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x).
(1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u.
x \ T(y * x,y) = R(y,x,T(y,x)).
K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x).
(x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)).
(x / y) * (T(x / y,z) * y) = T(x / y,z) * x.
x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z.
(x / y) * (y * T(y \ x,z)) = T(x / y,z) * x.
(x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x).
((x / y) * T(y,z)) * y = x * T(y,z).
(x * T(y,z)) \ ((x * y) * T(y,z)) = y.
R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y).
((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y).
L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y.
x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x).
T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z).
T(x,y) * (x \ z) = z * K(y \ (y / (z \ (x \ z))),y).
(x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z).
(x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z).
(x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y.
x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ 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) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)).
(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) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y).
(x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z).
(x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z).
(x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z).
(1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z.
(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.
(x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z.
(x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z.
((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x.
(x \ 1) * (T(x,y) \ x) = T(x,y) \ 1.
T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1).
(x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x).
(x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1).
R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)).
(x / (y \ 1)) * K(y \ 1,y) = x / (1 / y).
(x / (1 / (1 / y))) * K(y \ 1,y) = x / y.
x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y.
x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y.
K(x,y) * y = y * K(x,y).
T(x,y * T(y \ 1,x)) = x.
(x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u.
((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u.
L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y).
T(x * T(x \ 1,y),y) = x * T(x \ 1,y).
((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y).
(1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x).
x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)).
R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y.
T(x,y) = K(y \ (y / (x \ 1)),y) * x.
K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y).
K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x).
(((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z.
(((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1.
T(x,1 / y) = T(x,y \ 1).
T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1).
((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y.
R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y.
R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y.
R(x,1 / x,y) \ y = (x \ 1) * y.
R(x,1 / x,y) = y / ((x \ 1) * y).
R(x,1 / x,y) = R(x,x \ 1,y).
L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y).
L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u.
R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y).
R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y.
((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y).
K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x).
K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x).
K(((x \ 1) \ 1) \ y,x) = K(x \ y,x).
K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z).
K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x).
((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y).
((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x).
(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) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)).
(x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))).
L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z).
K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)).
R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y).
R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)).
R(x,y \ T(y,x),y) = (y * x) / T(y,x).
L(x \ T(x,y),y,x) = K(x,(x * y) / x).
(((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y.
K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x.
L(((x * y) / x) / y,y,x) = K(T(x,y),y).
T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x).
T(x,y \ 1) / y = x * ((x / y) / x).
x * R(1 / y,y,y \ x) = y \ T(x,y \ 1).
R(x,y \ T(y,x),y) = x.
R(T(x,y),z \ T(z,x),z) = T(x,y).
(T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x).
L(x \ T(x,y),y,x) = K(T(x,y),y).
K(T(x,y),y) = K(x,(x * y) / x).
K(T(x,x \ y),x \ y) = K(x,y / x).
L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1).
(T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)).
x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y).
T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z.
L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1).
x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y).
K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)).
K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y).
(T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)).
((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y.
((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y.
((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y.
L(x,y,y \ T(y,z)) = x.
L(x,y,T(z,T(y,z)) \ z) = x.
(T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)).
(x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u.
T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x).
x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x).
x * ((T(y,x) \ y) * z) = T(x,y) * z.
K(x,y) = T(x \ T(x,y),y * x).
T(x,y) * T(y,x) = x * y.
R(T(x,x * y),y,x) = T(x,y).
T(x,y / x) = T(x,x \ y).
T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y).
R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y).
R(T(x,y),y / x,x) = T(x,x \ y).
(L(x,y,x) * y) * x = x * (y * x).
R(T(x,y),x \ y,x) = T(x,x \ y).
x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1).
T(L(x,y,x) * y,x) = y * x.
x * T(y,x * y) = L(y,x,y) * x.
T(x,L(x,y,x) * y) = T(x,y * x).
T(x,(x \ y) * x) = T(x,y).
T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x).
(T(x,y / z) \ x) * y = z * T(z \ y,x).
K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y).
K(T(x,y),y) \ 1 != z | K(y,x) = z.
x \ T(y * x,y) = R(y,x,y).
T(x * y,x) * T(x,y) = (x * y) * R(x,y,x).
R(x,T(y,x),T(x,y)) = R(x,T(y,x),x).
(x * y) \ (x * T(z * y,z)) = L(R(z,y,z),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 * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x.
R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y).
R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y).
R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y).
x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1).
T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1).
K(x,(y \ x) / x) = K(x,y \ 1).
K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1).
K(x \ ((x \ 1) \ y),x) = K(y,x).
K(x \ ((1 / x) \ y),x) = K(y,x).
K((1 / x) * y,x) = K(x \ y,x).
K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1).
T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y).
R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x).
(R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)).
R(x,y / x,x) = R(x,x \ y,x).
R(x,(x * y) / x,x) = R(x,y,x).
R(x,T(y,x),x) = R(x,y,x).
R(x,T(y,x),T(x,y)) = R(x,y,x).
R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z).
(T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z.
(R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x).
(T(x,y) \ x) * z = x * (T(x,y) \ 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).
x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u.
(R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x.
T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x.
(R(x,y,x) * y) * x = (x * y) * R(x,y,x).
(R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x.
L(R(x,y,x),y,R(x,y,x)) = x.
T(x,y / (1 / z)) = T(x,y / (z \ 1)).
x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z.
x \ T(x * (y / x),z) = T(y,z) / x.
(x \ T(x * (y / x),z)) * x = T(y,z).
T((x \ y) * x,z) = (x \ T(y,z)) * x.
((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y.
(x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)).
K(x \ (x / y),x) = K(y \ 1,x).
K(x,y) = (1 / T(y,x)) * y.
K(x,y) = y * (T(y,x) \ 1).
T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x).
x * T(x \ 1,y) = K(x \ 1,y).
x \ (T(1 / x,y) \ 1) = K(y,x \ 1).
T(x,y) * K(y,x) = x.
K(x,y) = T(y,T(x,y)) \ y.
(x * y) / x = y * K(x,y).
K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z).
x * ((y \ (x \ y)) * y) = y * K(x \ 1,y).
x * (T(x,y) \ z) = K(y,x) * z.
L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
K(x,y) = T(x,y) * (x \ 1).
T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1).
T(x,y) = x * K(x,y).
(x * y) \ (x * T(y,z)) = L(K(y,z),y,x).
L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)).
(x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)).
x * (T(x,y) \ z) = K(x,y) \ z.
T(x,y) \ x != z | K(y,x) = z.
x \ T(x,y) != z | K(x,y) = z.
K(x,y / x) = K(x,x \ y).
K(x / y,y) = K(y \ x,y).
K(x,y) \ 1 = K(y,x).
K(x,y) \ 1 != z | K(y,x) = z.
1 / K(x,y) = K(y,x).
(x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z).
K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)).
(x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y.
T(K(x,y),z) * K(y,x) = K(K(x,y),z).
x * K(y,y \ x) = y * (x / y).
(x * (y / x)) \ y = K(x \ y,x).
K(x \ (x / y),x) != z | K(y \ 1,x) = z.
(x * T(x \ y,z)) / y != u | K(y / x,z) = u.
L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y).
(x * T(x \ y,z)) / y = K((x / y) \ 1,z).
(x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z).
(x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z.
K(x,y) \ z = K(y,x) * z.
x / (K(y,z) * x) = K(z,y).
K(x,y) * (K(y,x) * z) != u | u = z.
K(x,y) != z | K(y,x) \ 1 = z.
K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y).
T(1 / x,y) \ 1 = x * K(y,x \ 1).
K((x \ (y \ x)) \ 1,z) = T(K(y,z),x).
T(K(x / y,z),x) = K((x \ y) \ 1,z).
T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1).
K(T(x,y) \ 1,z) = T(K(x \ 1,z),y).
K(T(x \ 1,y) \ 1,z) = T(K(x,z),y).
K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z).
K(x,T(y,z) \ 1) = T(K(x,y \ 1),z).
K(x,T(1 / y,z) \ 1) = T(K(x,y),z).
K(x,T(y \ 1,z) \ 1) = T(K(x,y),z).
K(x,y * K(z,y \ 1)) = T(K(x,y),z).
1 / T(K(x,y),z) = T(K(y,x),z).
T(K(x,y),z) \ 1 = T(K(y,x),z).
T(K(x,y),z) * K(y,x) = K(z,K(y,x)).
T(K(x,y / z),y) = K(x,(y \ z) \ 1).
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
K(K(x,y),z) = K(z,K(y,x)).
K(x,K(y,z)) \ 1 = K(x,K(z,y)).
K(x,y) * K(z,K(y,x)) = T(K(x,y),z).
K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u.
K(x,K(y,z)) != u | K(K(z,y),x) = u.
T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1).
K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u.
K(K(x,y),z) != u | K(z,K(y,x)) = u.
T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u.
K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)).
K((x / y) \ 1,z) != u | K(y / x,z) = u.
K(x \ 1,y) != z | K(1 / x,y) = z.
L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1).
K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u).
L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1).
(x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y.
L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y).
K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z).
K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1.
(x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z.
(T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x).
K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y).
K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x).
K(1 / x,(1 / x) \ y) = K(x \ 1,y * x).
(1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x).
((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z).
L(K(x,y),z,u) \ 1 = L(K(y,x),z,u).
x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y).
x * K(y,x * (1 / y)) = y * (x / y).
K(x,y * (1 / x)) = K(x,x \ y).
K(x * (1 / y),y) = 1 / K(y,y \ x).
K(x * (1 / y),y) = K(y \ x,y).
K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1).
K(x * y,y \ 1) = K(y * x,y \ 1).
K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y).
T(K(x,y),z * y) = T(K(x,y),y * z).
T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z).
K(K(x,y),y * z) = K(z * y,K(y,x)).
K(x * y,K(y,z)) = K(y * x,K(y,z)).
R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y.
R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u.
(x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z).
(x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)).
x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z.
(x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)).
R(x,K(y \ 1,z),z) = x.
R(x,K(y,z),z) = x.
R(x,y,K(z,y)) = x.
(x * y) * K(z,y) = x * (y * K(z,y)).
L(K(x,y),y,z) = K(x,y).
K(x,(y \ z) \ 1) = K(x,z \ y).
L(K(x,y),x,z) = K(y,x) \ 1.
L(K(x,y),x,z) = K(x,y).
(x * y) \ (x * T(y,z)) = K(y,z).
x \ ((x / y) * T(y,z)) = K(y,z).
K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)).
(x * y) * K(y,z) = x * T(y,z).
(x / y) * T(y,z) = x * K(y,z).
K(((x * y) \ x) \ 1,z) = K(y,z).
K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)).
(x * K(y,z)) * y = x * T(y,z).
K((x \ y) \ 1,z) = K(y \ x,z).
(x * K(y,z)) * y = (x * y) * K(y,z).
K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u).
K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u).
T(x * y,K(y,z)) = y * T(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)).
T(K(x,y),y * z) = K(x,T(y,z)).
K(x,T(y,y \ z)) = T(K(x,y),z).
K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u.
L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z).
K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x).
K(L(x,y / x,z),u) = L(K(x,u),y,z).
L(K(x,y),z * x,u) = K(L(x,z,u),y).
(x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z).
((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x.
(x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z).
x \ (y * K(x,z)) = (x \ y) * K(x,z).
x * ((x \ y) * K(x,z)) = y * K(x,z).
(x * y) * K(x,z) = x * (y * K(x,z)).
L(K(x,y),z,x) = K(x,y).
K(L(x,y,x),z) = K(x,z).
K(R(x,y,x),z) = K(x,z).
K(x,R(y,z,y)) = 1 / K(y,x).
K(x,R(y,z,y)) = K(x,y).
K(x,T(y,y \ z)) = K(x,T(y,z)).
K(x,T(y,z)) = T(K(x,y),z).
x * T(K(x,y),z) = T(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
(x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)).
K(x * y,K(x,z)) = K(y,K(x,z)).
K(x * y,K(y,z)) = K(x,K(y,z)).
(x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)).
K(x * y,K(y,z)) = K(z,K(y,x)).
K(x,K(y,z)) = K(z,K(y,x)).
K(x,K(y,z)) = K(y,K(x,z)).
K(c5,K(c4,c6)) != K(c4,K(c5,c6)).
K(c4,K(c5,c6)) != K(c5,K(c4,c6)).
K(x,K(y,z)) \ 1 = K(z,K(x,y)).
K(x,K(y,z)) = K(x,K(z,y)).
K(c7,K(c9,c8)) != K(c7,K(c8,c9)).
K(c7,K(c8,c9)) != K(c7,K(c9,c8)).
K(K(x,y),z) = K(y,K(z,x)).
K(K(x,y),z) = K(y,K(x,z)).
K(K(x,y),K(z,u)) = 1.
a(x,y,z) != 1 | L(z,y,x) = z.
L(x,y,z) != x | a(z,y,x) = 1.
K(K(c18,c19),K(c20,c21)) != 1.
x * (1 * 1) = x.
x * y != x | 1 = y.
(x * y) * 1 != x * z | z = y.
x \ (x * (y * z)) != y * u | u = z.
x * (x \ (y * z)) != y * u | u = z.
x * 1 != y | y = x.
x * 1 != y | x = y.
((x * y) * z) / z != u * y | u = x.
(x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z).
(x * y) \ ((x * (y / z)) * z) = a(x,y / z,z).
((x / y) * (y * z)) \ (x * z) = a(x / y,y,z).
x \ (1 * (x * y)) = L(y,x,1).
(x * 1) \ (x * y) = L(y,1,x).
(x * y) \ (x * y) = L(1,y,x).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
((x * 1) * y) / y = R(x,1,y).
(x * y) / (y * 1) = R(x,y,1).
((x * (y / z)) * z) / y = R(x,y / z,z).
T(L(x,y,z),x) = L(x,y,z).
x \ x = 1 * 1.
((x * y) * z) / a(x,y,z) = x * (y * z).
((x / (y / z)) \ x) \ y = z.
K(1,x) = 1.
K(x,1) = 1.
x \ x != y | 1 = y.
x * (y * (y \ 1)) != z | z = x.
x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1).
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)).
(x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z).
T(T(T(x,y),z),x) = T(T(x,y),z).
T((x * y) / x,y) = (x * y) / x.
L(x,y,z) \ (u * L(T(x,u),y,z)) = u.
x * K(y,z) != y * z | z * y = x.
x * L(y,z,u) != u * (z * y) | u * z = x.
(x / y) \ x = z * (z \ y).
x \ ((x * y) * L(z,y,x)) = y * z.
((x * (x \ y)) / z) \ y = z.
(R(x,y,z) * (y * z)) / z = x * y.
(x * y) * K(y,x) != y * z | z = x.
(x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x).
K(x,y) \ (x * y) = T(y * x,K(x,y)).
T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z).
T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y.
T(x,L(x,y,z)) = x.
K(x,L(x,y,z)) = 1.
(x \ y) \ y != z | T(x,x \ y) = z.
(x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y).
(x / y) \ x != z * u | z \ y = u.
(x / y) * y != z * u | z \ x = u.
R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z).
(x * y) / T(x,y) != z | z = y.
x \ (x * y) != z * u | z \ y = u.
((x \ y) \ y) * (T(x,x \ y) \ z) = z.
x * ((y / z) \ y) != u | u / z = x.
(x / T(y,y \ z)) * ((y \ z) \ z) = x.
x / L(y,z,x / (z * y)) = (x / (z * y)) * z.
x * y != x * z | z = y.
x \ (x * y) = L(y,x,1).
L(x,y,1) = x.
x \ (x * y) = L(y,1,x).
L(x,1,y) = x.
L(x,1,y) != z | z = x.
L(1,x,y) = 1.
(x * y) / y = R(x,1,y).
R(x,1,y) = x.
(x * y) / y = R(x,y,1).
R(x,y,1) = x.
R(1 / x,x,y) * z = (y / (x * y)) * z.
x \ (x * (y * z)) != z * u | T(y,z) = u.
T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z.
x * R(T(y,x),z,u) != w | R(y,z,u) * x = w.
x * (y * (y \ 1)) != z * u | z \ x = u.
(T(x,x \ y) / z) \ ((x \ y) \ y) = z.
T(x,y) * z != z * u | T(T(x,z),y) = u.
x * T(T(T(y,x),z),u) = T(T(y,z),u) * x.
T(x,T(T(x,y),z)) = x.
K(x,T(T(x,y),z)) = 1.
x * T(x \ 1,x) != y | K(x \ 1,x) = y.
(x * y) * L(z,y,x) != x * u | y * z = u.
(x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x).
L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)).
(x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y).
((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u).
(x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y).
(x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x).
L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z).
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,y,z) \ (x * z) = y * z.
(R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)).
((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,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).
R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y).
(R(x,y,z) * (y * z)) / z != u | x * y = u.
(x * y) * (y \ 1) != z | R(x,y,y \ 1) = z.
R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z).
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).
(x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y).
R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z.
R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z.
R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u.
x / K(x \ 1,x) = R(x,x \ 1,x).
L(x,y \ 1,y) != y * z | (y \ 1) * x = z.
(x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1).
R(x,y,y \ 1) / (y \ 1) != z * y | z = x.
L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u).
L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z.
R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w.
((x / y) * y) * z != u * w | u \ (x * z) = w.
(x * (x \ y)) * z != u | y * z = u.
(x / y) \ (z * (z \ x)) != u * w | u \ y = w.
T((x \ y) \ 1,y \ x) = (x \ y) \ 1.
K((x \ y) \ 1,y \ x) = 1.
K(((x * y) \ x) \ 1,y) = 1.
R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z).
R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u.
T((x \ 1) \ y,x * y) = (x \ 1) \ y.
L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x).
(x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)).
x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x.
R(x,y,z) * x = x * R(x,y,z).
R(T(x,y),z,u) * x = x * R(T(x,y),z,u).
T(x,R(x,y,z)) = x.
R(x \ y,x,x \ 1) = T(y * (x \ 1),x).
((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y).
(T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)).
(T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)).
x * ((y \ z) \ z) != u | x * T(y,y \ z) = u.
T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z.
T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x).
T(T((x * y) / x,z),y * x) = T(L(y,x,y),z).
T((x * y) / x,z) * x != u | x * T(y,z) = u.
T(x * y,(x \ 1) \ y) = x * y.
(x * y) / a(z,z \ x,y) = z * ((z \ x) * y).
(x * y) * a(x,z,z \ y) = (x * z) * (z \ y).
x * a(x,y,y \ 1) = (x * y) * (y \ 1).
(x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z).
((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z.
R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z).
x \ R(x,y,y \ 1) = a(x,y,y \ 1).
x * a(x,y,y \ 1) = R(x,y,y \ 1).
x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z.
L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z.
(x / (y * x)) * (R(1 / y,y,x) \ z) = z.
R(T(1 / x,x * y),x,y) = (x * y) \ y.
x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y.
(x / y) * (y * T(z,x)) = L(z,y,x / y) * x.
L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w).
R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z).
(x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u.
R((x / y) \ z,x / y,y) = T((z * y) / x,x / y).
T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x).
T((x * y) * (x \ 1),x) = R(y,x,x \ 1).
((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z.
T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x).
L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u).
R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u).
(x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1).
(x * (y / x)) * x = y * T(x,y / x).
K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z.
R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u.
(x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u.
(x * y) \ z != u | L(y \ (x \ z),y,x) = u.
(x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w.
(x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w.
(x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u.
L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y).
T(x,R(T(x,y),z,u)) = x.
((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x.
((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x).
((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w).
((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z.
L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w.
R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w.
R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x.
T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y).
(x * y) \ (y * T(x,y / x)) = a(x,y / x,x).
R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u.
L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y).
x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x).
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).
R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x).
(x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w.
(x * (x \ y)) * z != u * w | u \ (y * z) = w.
x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1).
L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z.
R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z).
(x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z.
T(T((x * y) / x,z),y * x) = L(T(y,z),x,y).
T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u.
T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u.
(x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)).
((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z).
(x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y).
L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y.
L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z.
(x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y.
((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z.
T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y).
x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1).
(x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y).
(1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w.
(x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1).
T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z).
T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)).
(x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z.
((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z.
(x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)).
x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)).
(x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)).
K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)).
x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u).
(1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u).
L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y.
L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x).
T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x).
(1 / x) \ (L(x,y,z) / x) = L(x,y,z).
(1 / x) * L(x,y,z) = L(x,y,z) / x.
(L(x,y,z) / x) / L(x,y,z) = 1 / x.
L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)).
L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u).
T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x).
(x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u.
L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5.
T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5).
T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u.
T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u.
T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1).
T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y).
x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u.
T(x,T(y,x)) != z | T(y,x) \ (y * x) = z.
T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x.
(1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1).
x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1.
x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z).
T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u).
L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z).
x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1).
(x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z).
x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u).
L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u).
x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1).
x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z.
x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x).
(x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x).
T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y).
T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)).
L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)).
L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u).
R(x,x \ 1,x) = (x \ 1) \ 1.
x / K(x \ 1,x) = (x \ 1) \ 1.
(x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)).
((x \ 1) \ 1) * K(x \ 1,x) = x.
((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y.
T(x \ 1,T(x,x \ 1)) = T(x \ 1,x).
(x \ 1) * K(x,1 / x) = 1 / x.
T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z).
K(x,y) * (x \ 1) = (x \ 1) * K(x,y).
(x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z.
T((x * y) \ x,K(y,z)) = L(y \ 1,y,x).
L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)).
K(x \ 1,y) * x = x * K(x \ 1,y).
x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u).
(R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x.
R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u.
R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u).
x * (R(x,y,z) \ 1) = R(x,y,z) \ x.
(R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)).
x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x).
(R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x.
L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x).
R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w.
R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)).
x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w).
(x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y.
(x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y.
(((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y).
(x * T(y,z)) / y = (x / y) * T(y,z).
((x / y) * T(y,z)) \ (x * T(y,z)) = y.
R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y).
(x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z).
T(x,y) / x != z | (1 / x) * T(x,y) = z.
(x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y.
(L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)).
L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z).
(R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)).
(x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)).
(x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)).
T(x * y,y) / y = y \ T(y * x,y).
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.
T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)).
((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)).
((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z).
x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u).
L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u.
x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u.
L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u.
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
(L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)).
((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y).
x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x).
x \ (L(x,y,z) \ x) = L(x,y,z) \ 1.
(L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x).
L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x).
T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x).
T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x).
x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x).
T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)).
L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x).
K(x,x \ 1) != y | x * (1 / x) = y.
(x \ 1) * K(x,x \ 1) = 1 / x.
K(x \ 1,x) \ 1 = x * (1 / x).
T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z.
L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)).
(x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z.
K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y.
L(T(x \ 1,y),x,x \ 1) = T(1 / x,y).
L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z).
L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x.
K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)).
((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x).
x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u).
(x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z).
K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y.
K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y).
(x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y).
T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1).
T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u).
T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z).
L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u).
x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z.
((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)).
((x \ y) * x) * (y \ x) = x * K(x \ y,x).
(x * y) * ((y * x) \ y) = y * K(y \ (y * x),y).
(x * y) * ((y * x) \ y) = y * K(x,y).
(x * y) * L(x \ 1,x,y) = y * K(x,y).
(x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z.
x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z.
(1 / ((x * y) / x)) * y = y / ((x * y) / x).
(x / ((y * x) / y)) / x = 1 / ((y * x) / y).
x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)).
(x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)).
T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y).
K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z).
T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y).
T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u.
T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)).
K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y.
((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y).
((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)).
T(x * T(y,z),x) / x = T(T(x * y,x) / x,z).
T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y).
K(x,x * L(x \ 1,y,z)) = 1.
T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1.
T(x \ 1,x \ L(x,y,z)) = x \ 1.
R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)).
T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)).
T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x).
T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x).
(x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y.
T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / 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 * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y).
((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y.
((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y).
(x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y.
(1 / ((x * y) \ x)) \ y = y * ((x * y) \ x).
(1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y.
T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)).
x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x.
L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y).
T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y).
T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y).
T(K(x,y),T(x,x \ 1)) = T(K(x,y),x).
T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1).
(1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x).
((x / y) * (y / x)) * ((x / y) \ 1) = y / x.
(x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1).
((x \ y) / y) / (x \ 1) = x * ((x \ y) / y).
(x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y.
(x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y).
x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y).
x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y.
x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y).
(L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u).
(x * L(y,z,u)) * y = (x * y) * L(y,z,u).
(x * y) / L(y,z,u) = (x / L(y,z,u)) * y.
(1 / L(x,y,z)) * x = x / L(x,y,z).
((x / y) * L(y,z,u)) * y = x * L(y,z,u).
(x * L(y,z,u)) \ ((x * y) * L(y,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))) != w | K(y,x * L(y,z,u)) = w.
T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)).
((x * y) / z) * L(z,y,x) = (x * (y * z)) / z.
R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y).
T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x).
L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x).
(x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u.
(x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u).
L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z).
x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1).
T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1).
T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x).
(1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x.
(1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x.
T(1 / x,L(x,y,z) / x) = 1 / x.
T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x.
L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)).
x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w).
(((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)).
(((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)).
(((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z).
((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x).
((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y).
T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x).
T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x).
((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1).
(x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w).
(x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)).
x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x).
((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)).
(x * K(x,y)) * (x \ 1) = K(x,y).
T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y).
x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x).
T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u).
x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u).
L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x).
x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u).
L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x.
(x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x).
x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x).
(x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z).
(1 / R(x,y,z)) * x = x / R(x,y,z).
((x / R(y,z,u)) * y) * R(y,z,u) = x * y.
(x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w.
R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y).
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 = R(T(y,x) / x,z,u).
x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u).
R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x.
(x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)).
(1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x).
R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z.
a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y).
L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u).
T(x,(1 / y) \ x) = T(x,x * y).
x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1.
T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y).
(x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z.
K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y).
T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x).
((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)).
((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x).
x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z).
x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z).
K(K(x,y),K(y,z)) = 1.
K(x,y) * K(z,x) = K(z,x) * K(x,y).
K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u.
L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u).
R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u).
K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5.
K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u.
R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u).
K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5.
(x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) = a(x,K(z,u),K(y,z)).
(K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w.
((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w.
(x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u).
(x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u).
(x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u).
(x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u).
R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z).
((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)).
(x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)).
(x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y.
R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y).
T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y).
T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y).
T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y).
L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x).
(x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y).
(x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)).
R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y).
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y).
(L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)).
T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z).
T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u).
T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x).
(T(x,y) / x) * (1 / T(x,y)) = 1 / x.
L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x.
(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,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y).
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.
1 / T((x \ 1) \ 1,y) = T(x,y) \ 1.
1 / T(x \ 1,y) = T(1 / x,y) \ 1.
(T(1 / x,y) \ 1) \ 1 = T(x \ 1,y).
((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x).
T(x,T(x,y) \ 1) = T(x,x \ 1).
(x * K(y \ 1,y)) / x = K(y \ 1,y).
T((x \ 1) * x,y) = K(x \ 1,x).
x * K(y \ 1,y) != z | K(y \ 1,y) * x = z.
(x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x).
R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x).
R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1).
(K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)).
(K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u.
L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x).
K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x).
L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y).
(K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x).
((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y).
L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x).
L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z).
((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x.
x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z.
K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x).
T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z.
(x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1.
T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y).
L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y).
(1 / (1 / x)) \ (x / T(x,y)) = 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) \ T(z,y),u) = T(x * T(x \ z,u),y).
T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y).
(x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z).
(((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y).
((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x.
R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y).
((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) = (x * y) \ (y * x).
K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y).
((1 / x) * K(y,x)) / (1 / x) = K(y,x).
K(x,y) * (1 / y) = (1 / y) * K(x,y).
T(K(x,y),1 / y) = K(x,y).
T(1 / x,K(y,x)) = 1 / x.
T(x \ 1,K(y,x)) = T(1 / x,x).
T(x \ 1,K(y,x)) = x \ 1.
T((x * y) \ x,K(z,y)) = L(y \ 1,y,x).
T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y).
T(x \ y,K(z,y \ x)) = x \ y.
K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z).
L(x \ 1,x,(x \ y) / y) = 1 / x.
(((x \ y) / y) * x) * (1 / x) = (x \ y) / y.
T(x,y / (y * x)) = T(x,x \ 1).
(x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)).
L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y).
((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)).
((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z).
(x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x).
T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y).
T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y).
K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)).
(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 * (1 / y),y) != z * (1 / y) | (y \ x) * y = z.
T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z.
(x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y).
L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y.
1 / T(x \ y,y \ x) = (x \ y) \ 1.
1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1.
(x \ y) * (1 / (x \ y)) = K(x \ y,y \ x).
T(x,K(y \ z,z \ y)) = x.
K(x \ y,y \ x) * z = z * K(x \ y,y \ x).
(x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u.
x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x.
T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1.
(x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1).
L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y.
(x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u).
(x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1).
(x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u).
(x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1).
(x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u.
x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1.
((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1).
(x * K(y,x)) * (x \ 1) = K(y,x).
(1 / x) * K(y,1 / x) = K(y,1 / x) / x.
((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z).
(x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y).
(x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y.
((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y).
((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y).
K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x.
R(x,y,K(x,x \ 1)) = x.
R(T(x,y),z,K(x,x \ 1)) = T(x,y).
T(x,y * K(x,x \ 1)) = T(x,y).
T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y).
x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z.
((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x.
((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x.
((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x.
K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y.
(x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)).
(x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)).
(x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)).
K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z.
K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x).
(L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x).
x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x.
x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x).
x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x).
L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z).
L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)).
L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)).
L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u.
T(x,L(K(y,y \ 1),y,z)) = x.
K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w.
(T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u).
L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1.
T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x).
T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x).
T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x).
L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x).
L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x).
L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x).
(x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)).
(x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z.
K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x).
K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x).
(x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1.
(R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)).
(R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z).
R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)).
((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z.
x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)).
x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)).
x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)).
(1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x).
(1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x.
(x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))).
(x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y).
(x \ (x * K(x,y))) * x = (1 / x) \ K(x,y).
(1 / x) \ K(x,y) = K(x,y) * x.
a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)).
K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z).
K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z).
K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1.
((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1.
((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x.
x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x.
(x * (1 / y)) * y = R(x,y \ 1,y).
R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z).
R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1).
x \ R(x,y \ 1,y) = a(x,1 / y,y).
((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x).
L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y).
K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1).
K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x).
T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y).
x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)).
x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1).
x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x.
K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1).
x * T(x \ (x / y),y) = x / T(y,y \ 1).
(x / y) * K(y \ 1,y) = x / T(y,y \ 1).
L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)).
(x / T(y,y \ 1)) * y = x * K(y \ 1,y).
(x * T(y,y \ 1)) * K(y \ 1,y) = x * y.
x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x.
(x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y.
x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x.
(x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y).
R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y).
a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y).
(x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z).
R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y).
R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1).
x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1).
((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1).
a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y).
(x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y.
(x / T(y,y \ 1)) * K(y,y \ 1) = x / y.
(x * (y \ 1)) * K(y,y \ 1) = x * (1 / y).
(x * K(y,y \ 1)) * K(y \ 1,y) = x.
((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1).
(K(x,x \ 1) * y) * K(x \ 1,x) = y.
K(x,x \ 1) \ y = y * K(x \ 1,x).
x * K(y \ 1,y) != z | z * K(y,y \ 1) = x.
R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)).
K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x).
K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1).
L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y.
R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)).
K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x.
(K(x,x \ 1) * y) * x = y * T(x,x \ 1).
L(x,K(x,x \ 1),y) = x.
L(1 / x,K(x \ 1,x),y) = 1 / x.
((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)).
K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1).
T(K(1 / x,y),x \ 1) = K(x \ 1,y).
T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y).
K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y).
T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y).
K(T(x,x \ 1),y) = T(K(x,y),x).
R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1).
R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1).
L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)).
L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x).
L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z).
L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z).
L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z).
K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1).
T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x).
K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x).
R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)).
R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z).
R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)).
R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)).
R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z).
L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))).
x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)).
x * (K(x,x \ 1) * y) = T(x,x \ 1) * y.
(1 / x) \ L(y,x,x \ 1) = x * y.
L(x,y,y \ 1) != z | (1 / y) * (y * x) = z.
K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y.
L(T(x,y),y,y \ 1) = (1 / y) * (x * y).
L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y).
((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x).
L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y.
K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y.
x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x).
(1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y.
(1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)).
(x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x).
((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y.
((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y.
((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y.
((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x.
K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y.
(x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1).
x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x.
x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y.
(x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)).
x * (T(x,y) \ (1 / x)) = 1 / T(x,y).
K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x.
L(K(x,y),z,u) * y = y * L(K(x,y),z,u).
L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z).
R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z).
K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u.
T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z).
R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u).
(x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z).
R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z.
R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z).
K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w.
(1 / x) \ K(y,x) = x * K(y,x).
K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)).
(1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1.
K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))).
K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1).
(x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y.
((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z.
K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z.
x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z.
L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x).
T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)).
(1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y.
((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x).
L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z).
L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z).
K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y.
((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1).
T(x,L(K(y,x),z,u)) = x.
R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u.
x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x.
(1 / x) * T(x,y) = x \ T(x,y).
R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z).
(x \ T(x,y)) * (1 / T(x,y)) = 1 / x.
x / ((y * x) / y) = ((y * x) / y) \ x.
(((x * y) / x) \ y) / y = 1 / ((x * y) / x).
K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y).
x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1.
K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z).
K(T(x,x \ 1),y) = K(x,y).
R(K(x,y),z,u) * x = x * R(K(x,y),z,u).
T(T(x,y),K(x,z)) = T(x,y).
T(x,y) * K(x,z) = 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,K(y,z)) = (x * y) / x.
T(K(x,y),T(x,z)) = K(x,y).
T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u.
T(K(x,y),(z * x) / z) = K(x,y).
(x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y).
T(x,R(K(x,y),z,u)) = x.
K(x,R(K(x,y),z,u)) = 1.
R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u).
T(K(x,y),R(x,z,u)) = K(x,y).
x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1).
T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)).
(1 / x) * K(y,x \ 1) = K(y,x \ 1) / x.
T(x \ 1,T(x,y) \ x) = x \ 1.
R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x.
T(T(x,y) \ x,x \ 1) = T(x,y) \ x.
(T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x).
(1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x.
L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)).
(x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x.
K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y).
(x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1).
((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z).
T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x).
((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1).
T(x,T(y \ 1,y)) = T(x,y \ 1).
((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1).
(T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1).
T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x).
(T(x,y) \ x) * (x \ 1) = T(x,y) \ 1.
T(1 / (1 / x),y / (y * x)) = x.
T(1 / (1 / x),(y / x) / y) = x.
(1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y.
(x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x).
(1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x.
x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1.
T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)).
x / (x * T(y,y \ 1)) = T(x / (x * y),y).
T(x / (x * y),y) \ x = x * T(y,y \ 1).
((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x).
x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x).
T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y).
T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1).
T(x,x \ (y \ T(y,x))) = T(x,x \ 1).
T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1).
1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x.
(T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)).
(R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5.
K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z).
K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z.
x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1.
K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x).
K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))).
L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x.
K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z).
(T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z.
(x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)).
T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u.
((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z).
1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x.
1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x.
T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))).
K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y).
T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)).
T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)).
(x \ 1) * K(x \ 1,y) = x \ K(1 / x,y).
(x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y).
(x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)).
(x * (y \ T(y,x))) * (T(y,x) \ y) = x.
T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)).
T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y).
((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x).
K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z).
((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)).
(K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5.
x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)).
T(x,x \ K(y,x)) = T(x,x \ 1).
K(x,y) / T(y,y \ 1) = y \ K(x,y).
K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y.
(x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x.
K(x,y) * K(y,y \ 1) = y * (K(x,y) / y).
x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x).
x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)).
x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)).
x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)).
K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)).
K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z).
(x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)).
K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)).
K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y).
K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y).
K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y).
K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y).
R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x).
R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x).
K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x).
K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x).
K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1).
L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x).
L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x).
((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y.
L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)).
L(1 / x,x \ T(x,y),x) = 1 / x.
x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))).
x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))).
(1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)).
(1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))).
(1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x).
L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y).
L(x \ T(x,y),x \ 1,x) = x \ T(x,y).
L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)).
x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x).
L(K(x,y),x \ 1,x) = x \ (x * K(x,y)).
L(K(x,y),x \ 1,x) = K(x,y).
(x \ 1) * K(x,y) = x \ K(x,y).
K(x,y) * (x \ 1) = x \ K(x,y).
K(x,y) \ (x \ K(x,y)) = x \ 1.
K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z.
K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z.
K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u.
L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)).
L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u).
L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z).
L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z).
x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)).
L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u.
T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z).
T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z).
T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z).
T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z).
K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x).
K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x).
K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1.
K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1.
1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1.
((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y.
(x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x.
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1.
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1.
((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1).
(x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1).
K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x).
K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x).
K(x \ (T(y,x) \ y),x) = K(x \ 1,x).
(x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)).
x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1.
x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1.
x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1.
x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1.
(x * K(y,x)) \ 1 = x \ (K(y,x) \ 1).
x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x.
x \ (K(y,x) \ x) = K(y,x) \ 1.
x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x.
x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1.
(((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x).
1 / (K(x,y) \ y) = K(x,y) / y.
(K(x,y) / y) \ 1 = K(x,y) \ y.
K(K(x,x \ 1) * y,x) = K(y,x).
K(x,1 / y) = K(x,y \ 1).
K(x,1 / (1 / y)) = K(x,y).
K(x,T(1 / y,z)) = K(x,T(y \ 1,z)).
((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x).
(1 / x) * K(y,1 / x) = K(y,x \ 1) / x.
K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x).
K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x).
x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1.
(K(x,y) \ y) \ 1 = y \ K(x,y).
1 / (x \ K(y,x)) = K(y,x) \ x.
(x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)).
(x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)).
(x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))).
L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z).
L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z).
((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z).
((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)).
(x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1.
x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1.
x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1.
(L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x.
(x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1.
L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x).
T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1).
T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1).
T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1).
T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1).
T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1).
T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1).
T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1).
T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x).
T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x).
R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1).
R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)).
R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1).
R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x.
R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x.
L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x.
L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x).
L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x).
K(x,y) = L((y * x) \ (x * y),y \ 1,y).
L(K(x,y),y \ 1,y) = K(x,y).
(x \ 1) * K(y,x) = x \ K(y,x).
((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)).
L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)).
L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1).
L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1).
R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z).
R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1).
a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z).
(x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1.
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z).
L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z).
L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z).
L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z).
L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z).
L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z).
L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)).
L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z).
L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1).
(L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z).
L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z).
L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)).
1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1.
L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)).
(L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z).
L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1.
(x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))).
(x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))).
R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z).
R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z).
R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z).
R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z).
R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u).
1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z).
T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)).
R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1.
R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1.
T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)).
1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1.
T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1.
((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z.
R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z.
R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z.
(((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1).
(((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1).
(x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)).
(x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1).
(x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))).
(x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))).
(x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))).
(x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))).
(x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)).
(x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z.
R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1.
K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u.
R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1).
(x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u.
R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y).
(K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)).
(K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z.
(K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z).
K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y.
L(x,y,K(z \ u,u \ z)) = x.
a(x,1 / y,y) = a(x,y \ 1,y).
x \ R(x,y \ 1,y) = a(x,y \ 1,y).
(x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1.
(K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z.
K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y.
(K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u).
a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y).
K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z.
(x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y).
(1 / x) * K(y \ 1,y) = K(y \ 1,y) / x.
(1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1).
(x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1).
(x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1.
(K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1).
(x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1).
(x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z.
(x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z).
(x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z.
R(K(x,x \ 1),y,z) = K(x,x \ 1).
R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1).
R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)).
(K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)).
K(x \ 1,R(x,y,z)) = K(x \ 1,x).
(K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)).
(x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w.
K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x).
(x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z).
T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)).
x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z.
x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w.
(1 / x) * R(x,y,z) = x \ R(x,y,z).
R(x,y,z) / x = x \ R(x,y,z).
(x \ R(x,y,z)) * x = R(x,y,z).
R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)).
T(x,x \ R(x,y,z)) = x.
x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5.
(x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u).
T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1.
(x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u.
K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u).
K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z).
R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u).
R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1).
R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x.
((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z.
((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z.
(x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y).
x * (T(y,T(x,y)) \ y) = T(x,y).
x * (T(y,x) \ y) = T(x,T(y,x)).
R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z).
R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z.
T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x.
(x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u.
T(x,T(y,x * y)) = y \ (x * y).
((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u.
T(x,(y \ x) \ x) = T(x,y).
T(T(x,y) / (x / y),x) = x / (x / y).
T(T(x,y \ x) / y,x) = x / y.
T(x,T(y,y \ x)) = T(x,y).
T(x,T(y,x * y)) = T(x,y).
T(x,T(x \ y,y)) = T(x,x \ y).
T(x,y) * T(x \ y,x) = (x \ y) * T(x,y).
T(x / y,y) * y = (x / y) * (x / (x / y)).
T(x,(1 / y) * x) = T(x,y \ x).
T(T(x * y,y) / x,x * y) = (x * y) / x.
(x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)).
x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z.
T(x,(y \ x) \ 1) / (y \ x) = x * (y / x).
L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x.
T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x).
(x / y) \ T(x,(x / y) \ 1) = x * (y / x).
R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x).
K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x).
K(T(x,T(y,x)),T(y,x)) = K(x,y).
(x / y) * (x / (x / y)) = (y \ x) * y.
T(x \ T(x * y,y),x) = R(y,x,y).
(((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x).
L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z).
x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z.
(((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z.
L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z).
(x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y).
(K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)).
L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)).
L(x,y,z * K(u \ 1,u)) = L(x,y,z).
L(x,y,K(z \ 1,z) * u) = L(x,y,u).
L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u).
(1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x).
((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z.
(T(x,y) * z) / ((x \ T(x,y)) * z) = x.
R(x,x \ T(x,y),z) = x.
R(x,x \ (K(y,x) \ x),z) = x.
R(x,K(y,x) \ 1,z) = x.
(x \ T(x,y)) \ (T(x,y) * z) = x * z.
R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x).
R(K(x,y),x,z) = K(x,y).
(K(x,y) * x) * z = K(x,y) * (x * z).
L(x,y,K(y,z)) = x.
T(x * y,(x * y) \ y) = T(x * y,x \ 1).
T(x,(x / y) \ 1) = T(x,x \ y).
(x \ (y \ x)) * T(x,y \ 1) = y \ x.
T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x).
(x / y) \ T(x,x \ y) = x * (y / x).
(x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x.
(x / (y * x)) \ T(x,x \ (y * x)) = x * y.
((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)).
T(x * y,x \ 1) = ((x * y) \ y) \ y.
x / T(y * x,y \ 1) = (y * x) \ x.
T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y.
(x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z.
(x / (y * x)) \ T(x,T(y,x)) = x * y.
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(x,y) \ (x * y) = T(y,x).
(x / T(y,x)) * y = T(x,y).
T(x \ y,x) = ((x \ y) \ y) \ y.
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(T(x,y),T(z,x)) = T(T(x,z),y).
T(x,T(T(y,x),z)) = T(x,T(y,z)).
T(L(x,y,z),T(u,x)) = L(T(x,u),y,z).
T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)).
T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y).
T(x,T(y,y * x)) = T(x,L(y,x,y)).
T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y).
T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u.
K(T(x,y),T(y,x)) = K(x,y).
(x / (y * x)) \ T(x,y) = x * y.
T(x,y) * (x \ T(y,x)) = y.
T(x,y) \ (y * x) = T(T(y,x),T(x,y)).
(x * y) / T(y,x) = T(x,y).
(x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)).
(T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z).
(x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z).
T(x / T(y,x),y) = y \ T(x,y).
(T(x,y) / y) \ x = T(y,x).
T(x * (y / x),x) = x * (y / T(x,y)).
T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z).
(T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,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)) / T(x,x \ y) = y / x.
x / T(y,x / y) = y \ x.
(x * (y / x)) * x = y * T(x,x \ y).
(x * y) \ (y * T(x,x \ y)) = a(x,y / x,x).
T(x,T(y,x / y)) = T(x,y).
T(x / (x / y),y \ x) = y.
R(L(x,y,x),y,x) = x.
(x * (y * x)) / x = L(x,y,x) * y.
(T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x).
x / T(y \ x,y) = (y \ x) \ x.
T(x * y,T(y,x)) = T(x * y,y).
T(x / (x / (x / y)),y) = x / y.
(x / (x / y)) * (y \ x) = (y \ x) * y.
((x \ y) * x) / (x \ y) = y / (y / x).
T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y).
T(x,(1 / x) * y) = T(x,x \ y).
L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y).
T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y).
T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)).
T(x,y) / (x * y) = x / (y * x).
(x * (y / x)) / x = y / (y / (y / x)).
R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y).
x / T(y,(1 / y) * x) = y \ x.
T(x,y) / (x * y) = R(1 / y,y,x).
T(x,x \ y) / y = x / ((x \ y) * x).
x / T(y \ 1,y * x) = (y \ 1) \ x.
T((x * y) / x,L(x,y,x)) = y.
L(x,y,x) \ ((x * (y * x)) / x) = y.
(x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z.
T(x,L(y,x,y)) = T(x,y).
T(x,T(y,y * x)) = T(x,y).
L(x,y,x) * T(y,x) = y * L(x,y,x).
T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y).
T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y).
R(T(x,y),x \ y,x) = (x \ y) \ y.
R(1 / x,x,T(y,x)) = R(1 / x,x,y).
(T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u).
T(x,y * x) = T(x,x * y).
R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y).
T(x,x * (1 / y)) = T(x,y \ x).
T(x,x * (y / x)) = T(x,y).
T(T(x,x * y),z) = T(T(x,z),y * x).
T(T(x,y * x),z) = T(T(x,z),x * y).
T(T(x,y),(x \ z) * x) = T(T(x,z),y).
((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z.
(((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x).
T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x).
T(x,L(x,y,x) * y) = T(x,x * y).
R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z).
R(T(x,x * y),y,T(x,x * y)) = T(x,y).
x * (((y * x) / y) \ z) = T(x,y) * (x \ z).
T(x,y) \ (y * x) = T(T(y,x),x).
T(x,y) * T(T(y,x),x) = y * x.
L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)).
(x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y.
T(x,x \ T(x * y,y)) = T(x,y).
(x * (y \ x)) / (x / y) = (y \ x) * y.
T(x / (x / y),x) = L(y,y \ x,y).
T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y).
L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y).
x * T(x / (x / y),x) = y * ((y \ x) * y).
R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x.
(T(x,x \ y) / y) \ x = (x \ y) * x.
T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x).
T(x \ 1,x * y) = ((x \ 1) \ y) \ y.
x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x.
R(1 / x,x,y / x) = R(1 / x,x,x \ y).
T(T(x,y),z * x) = T(T(x,y),x * z).
((x \ y) * x) * (y / x) = y * (x \ y).
(T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x.
R(x,K(x,y),z) = x.
R(T(x,y),K(x,z),u) = T(x,y).
(L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w).
K(T(x,y),y) * z != 1 | K(y,x) = z.
(R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5).
(x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y).
R(x,x \ y,x) = (x \ y) \ T(y,x).
x \ T(y * x,y) != z | R(y,x,y) = z.
L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z).
T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y).
T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))).
T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)).
((x * y) / x) \ (y * z) = T(y,x) * (y \ z).
R(1 / x,x,x \ y) \ (y / x) = x * (y / x).
L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)).
R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y).
((x \ y) / y) * (x * (y / x)) = y / x.
T(x,y / (z * y)) = T(x,z \ 1).
T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y).
T(x,y) * T(y,y * x) = x * L(y,x,y).
T(x,y) * T(y,x * y) = x * L(y,x,y).
L(x,T(y,x),x) * T(y,x) = y * L(x,y,x).
L(x,T(y,x),x) = L(x,y,x).
(x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)).
K((1 / x) * (y * x),x) = K(T(y,x),x).
K(T((1 / x) * y,x),x) = K(T(x \ y,x),x).
K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x).
K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y).
K(x,(x \ 1) * y) = K(x,x \ y).
K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y).
K(x,x \ ((x \ 1) \ y)) = K(x,y).
((x \ y) * x) / T(x,y) = x \ T(y,x).
(x \ T(y,x)) * T(x,y) = (x \ y) * x.
T(x,y) * (T(y,x) / x) = x * (y / x).
T(x,y) * (y / T(x,y)) = x * (y / x).
T(x,y) * z != x * (y / x) | y / T(x,y) = z.
(T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * 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))).
T(x,y) \ T(x * y,y) = R(y,x,y).
(x \ (y * x)) \ T(y * x,x) = R(x,y,x).
R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x).
(x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1).
L(x,K(y,z),L(y,u,w)) = x.
(K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w).
L(x,K(y,z),y) = x.
R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x.
R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x.
((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x.
(x \ T(x,y)) \ (((x * y) / x) * z) = y * z.
L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x).
L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y).
T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x).
L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y).
L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y).
R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x).
(T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z.
((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 \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x.
(x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y.
(x \ T(x,y)) \ z = T(y,x) * (y \ z).
T(x,y) * (x \ z) = y * (T(y,x) \ z).
((x * y) / x) \ (T(x,y) * z) = y \ (x * z).
T(x,y) * (T(y,x) * z) = x * (y * z).
x \ (((y * x) / y) * z) = T(x,y) \ (x * z).
T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x).
x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)).
x \ (((y * x) / y) * z) = x * (T(x,y) \ z).
((x * y) / x) * (y \ z) = y * (T(y,x) \ z).
L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x).
L(x,T(y,z),T(z,y)) = L(x,y,z).
L(x,y \ z,T(y,z / y)) = L(x,z / y,y).
L(x,y \ z,T(y,y \ z)) = L(x,z / y,y).
L(x,y \ z,T(y,z)) = L(x,y \ z,y).
(x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z).
a(T(x,y),T(y,x),z) = a(x,y,z).
a(T(x,y),T(y,x),z) != u | a(x,y,z) = u.
T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))).
T(x,T(y,T(x,z))) = T(x,y).
T(x / (x / y),T(z,y)) = T(x / (x / y),z).
T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y).
L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z).
(T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y).
(x * y) * T(T(y,x),z) = (T(y,z) * x) * y.
(x * y) * T(T(y,z),x) = (T(y,z) * x) * y.
L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x).
R(T(T(x,y),z * x),z,x) = T(T(x,y),z).
R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x.
L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1).
a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z).
L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z).
K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z).
K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z.
R(x,K(y,y \ 1),z) = x.
x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y).
T(x,y * K(z \ 1,z)) = T(x,y).
R(x,y,(z \ 1) \ 1) = R(x,y,z).
(x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)).
(x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)).
(x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y).
x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z).
R(x,y,K(z,z \ 1)) = x.
(x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z).
T(x,y * K(z,z \ 1)) = T(x,y).
K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y.
(x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)).
(x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1).
x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1).
x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1).
T(x,K(y \ 1,y) * z) = T(x,z).
T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z).
T(x,((y \ 1) \ 1) \ z) = T(x,y \ z).
T(x,(1 / y) \ z) = T(x,(y \ 1) \ z).
T(x,(1 / y) * z) = T(x,(y \ 1) * z).
T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)).
R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1).
T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)).
T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)).
T(x,T(y,y \ 1) * z) = T(x,y * z).
T(x,y * (z * K(u,u \ 1))) = T(x,y * z).
T((x \ 1) * y,x \ y) = (x \ 1) * y.
T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u).
T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)).
K((x \ 1) * y,x \ y) = 1.
(x \ K(y \ 1,y)) * K(y,y \ 1) = x \ 1.
K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x).
1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x.
(x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1).
T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))).
T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)).
K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z.
(K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z).
K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z.
x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z).
(x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y).
K(L(x,y,z) \ 1,x) = K(x \ 1,x).
K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)).
L(K(x \ 1,x),y,z) = K(x \ 1,x).
(x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u).
(x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u).
(L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x).
L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x).
(K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x).
(x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1).
(x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1).
T(x,y \ (1 / z)) = T(x,y \ (z \ 1)).
x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z).
K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z).
K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1).
L(K(x,x \ 1),y,z) = K(x,x \ 1).
L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z).
L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)).
(K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1).
x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z).
K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z.
K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u.
T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u).
T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u).
T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u).
(x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x).
K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)).
(x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u).
K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)).
K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)).
x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1).
(x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y).
(K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z).
x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u.
K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z.
K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z.
L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w.
T(x * (y / x),z) = x * (T(y,z) / x).
T(x * y,z) / y = y \ T(y * x,z).
(x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y).
T((x \ y) * x,z) / x = x \ T(y,z).
x * (y * (T(z,x) / y)) = (y * (z / y)) * x.
x * (T(y * x,z) / x) = T(x * y,z).
T(x * (y / x),K(z,y)) = x * (y / x).
T(x * (y / x),K(y,z)) = x * (y / x).
T(x * (y / x),z / y) = x * (T(y,y \ z) / x).
(x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x.
(x \ T(x * y,z)) * x = T(y * x,z).
T(x \ T(x * y,z),x) = x \ T(y * x,z).
T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z).
x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y.
K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z).
x \ T((x \ y) * x,z) = T(x \ T(y,z),x).
T(x,T(y * x,z)) = T(x,T(x * y,z)).
T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x).
T(K(x,y),z * (x / z)) = K(x,y).
T(K(x * y,z),y * x) = K(x * y,z).
T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z).
T((x \ y) * x,z) != u * x | x \ T(y,z) = u.
x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x.
T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x.
K(x * y,z) * (y * x) = (y * x) * K(x * y,z).
(x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)).
((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x).
(x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y.
(x \ y) \ T((x \ y) * x,x) = (y * x) / y.
T(x * (y / x),z / y) = T(x * (y / x),y \ z).
((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)).
T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z).
T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1).
(x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z).
(x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)).
((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x).
((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x).
(x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y.
((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u.
T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z).
T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z).
T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z).
(x \ ((x * y) / x)) * x = (x \ y) * T(x,y).
(x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y.
(((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z).
T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)).
(1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)).
(L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x.
((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z.
T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)).
T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)).
(L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x.
((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1).
(x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u.
T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)).
(K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u).
(x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x).
(1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1).
(1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1.
((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u).
(x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x.
T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)).
L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y).
L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u).
L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1).
(x \ L(x * y,z,u)) * x = L(y * x,z,u).
L(x * (y / x),z,u) = x * (L(y,z,u) / x).
L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x).
L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x.
T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y).
K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z).
x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1).
x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z).
x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z).
x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x).
T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x).
(x \ L(x,y,z)) * x = L(x,y,z).
L(x,y,z) / x = x \ L(x,y,z).
(x \ L(x,y,z)) \ L(x,y,z) = x.
(1 / x) * L(x,y,z) = x \ L(x,y,z).
T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y).
T(1 / x,L(x,y,z)) = x \ 1.
K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1).
L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z).
L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1.
L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1).
x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))).
(x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1.
(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 \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x).
(x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y.
(x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u.
(1 / x) * ((y \ x) * y) = K(y \ x,y).
((x \ y) * x) / y = K(x \ y,x).
x / (y * (x / y)) = K(y \ x,y).
x / (x / y) = y * K(y \ x,y).
((x \ y) * x) * (y \ 1) = K(x \ y,x).
K(x \ y,x) * y = (x \ y) * x.
K(x \ y,x) * (x * (y / x)) = y.
x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)).
(x * y) / ((x * y) / x) = x * K(y,x).
(x * K(x \ y,x)) * (y / x) = y.
(x / y) * (y * K(y \ x,y)) = (y \ x) * y.
T(x * K(x \ y,x),y) = L(x,x \ y,x).
T(x,y) / (T(x,y) / y) = y * K(y \ x,y).
K(x,y) \ (x * y) = y * x.
K(x,y) * (y * x) = x * y.
x * (y * z) != z * y | K(z,y) = x.
K(x,y) = ((y * x) / y) \ x.
(x * T(x \ 1,y)) \ 1 = K(y,x \ 1).
K(x,y) = y / T(y,x).
K(x,y) / y = 1 / T(y,x).
K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1.
T(x,y) \ 1 = x \ K(y,x).
L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)).
R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)).
T(x,y) = x / K(y,x).
x * K(y,z) != z | T(z,y) = x.
x / K(y,x) != z | T(x,y) = z.
L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y).
((x \ y) \ y) * K(x \ y,x) = x.
T(x,y) = (x * K(y,x)) \ (x * x).
K((1 / x) \ y,y) = T(y,y * x) \ y.
(x \ 1) * K(y,x) = T(x,y) \ 1.
K(x,y) * T(y,x) = y.
T(x,y) = K(y,x) \ x.
K(x,y) * (y \ 1) = T(y,x) \ 1.
K(x \ K(x,y),x) = K(x \ 1,x).
K(x,y) * ((y * x) / y) = x.
x * K(T(x,y),y) = T(x,y).
((x * y) / x) \ x = y \ (x * K(y,x)).
x * (((y * x) / y) \ z) = K(x,y) * z.
T(x * K(y,x),y) = x.
K(x * (1 / y),x) = T(x,y \ x) \ x.
x * (K(x,y) * z) = T(x,y) * z.
T(x,y) * (x \ z) = K(x,y) * z.
K(x / y,z) * x = y * T(y \ x,z).
K(x,y) * (T(y,x) * z) = y * z.
K(x,y) \ y != z | T(y,x) = z.
((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x).
(1 / (1 / x)) \ K(y,x) = 1 / T(x,y).
L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)).
K(x * K(y,y \ 1),z) = z / T(z,x).
(x * T(x \ y,z)) / y = K(y / x,z).
K(x,y) = ((x * y) / x) * (y \ 1).
K(x,y) = ((x * y) / x) / y.
x * ((y * (x \ 1)) / y) = K(y,x \ 1).
K(x,y) = y \ ((x * y) / x).
K(x,y) = (1 / x) * T((1 / x) \ 1,y).
K(x,y) = (1 / x) * T(x,y).
K(x,y) = T(x,y) / x.
x \ K(y,x \ 1) = (y * (x \ 1)) / y.
T(x,y) \ K(x,y) = x \ 1.
x \ T(x,y \ 1) = K(x,1 / y).
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).
T(x,y) = K(x,y) * x.
K(x,y) * x != z | T(x,y) = z.
(x * K(y,x)) * y = y * x.
T(x,y) * K(y,T(x,y)) = x.
(x * y) / x = K(x,y) * y.
(x \ y) * K(x,x \ y) = y / x.
x \ T(x,y \ x) = K(x,x / y).
K(x,x \ y) * y = x * (y / x).
K(x,y) * (x * z) = T(x,y) * z.
K(x,y) \ (T(x,y) * z) = x * z.
K(x,y) \ z != u | x * (T(x,y) \ z) = u.
(x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x).
x \ T(x,y / (z * y)) = K(x,z \ 1).
K(x,y * K(z,z \ 1)) = x \ T(x,y).
x * (y * K(x,y)) = T(x,y) * y.
(1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y).
K(x,y / x) * (x \ y) = y / x.
x / T(x,y) != z | K(y,x) = z.
T(x,(y \ x) \ 1) = T(x,x \ y).
T(x,y) = 1 / (x \ K(y,x)).
T(x,y) = (K(y,x) / x) \ 1.
K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x).
T(T(x * K(y,x),z),y) = T(x,z).
(x * K(y,x)) \ (y * x) = y.
T(x * K(y,x),z) * y = y * T(x,z).
T(x * K(y,x),z) = (y * T(x,z)) / y.
L(x * K(y,x),z,u) * y = y * L(x,z,u).
R(x * K(y,x),z,u) * y = y * R(x,z,u).
T((x * (y * K(z,y))) / x,z) = (x * y) / x.
L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u).
T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x).
T(K(x,y) * y,x) = y.
T(x \ K(y,x \ 1),y) = x \ 1.
(x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x.
T(K(x,y \ 1) / y,x) = 1 / y.
T(x,y * K(x,y)) = T(x,y).
T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)).
T(1 / x,y) * x = K(x \ 1,y).
K(x \ 1,y) != z | x * T(x \ 1,y) = z.
T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)).
T(x,T(y,T(x,z))) = x * K(x,y).
T(x,y) != x * z | K(x,y) = z.
((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)).
R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)).
(x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u.
(x \ 1) \ K(x,y) = T(T(x,y),x \ 1).
(1 / x) * K(x \ 1,y) = T(1 / x,y).
(x * K(x,y)) \ x = K(y,x).
(K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u).
K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z).
K(T(x,y),z) * T(x,y) = T(T(x,z),y).
x * (K(y,x) * y) = y * x.
L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z).
(x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u.
T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y).
((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x).
T(x,y) != z | x * K(x,y) = z.
K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y).
(x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u.
(x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)).
T(x * y,z) / (y * x) = (y * x) \ T(x * y,z).
K(x,y) = x / ((y * x) / y).
K(x,y) = x * (((y * x) / y) \ 1).
((x * y) / x) \ 1 = y \ K(y,x).
K(x,y) / x = 1 / ((y * x) / y).
K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x).
K(x \ R(x,y,z),x) = (1 / x) * x.
(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)).
K(x,T(y,x)) = K(x,y).
K(x \ (y * x),x) = K(y,x).
K((x \ y) \ y,x \ y) = K(x,x \ y).
K(R(x,y,x),y * x) = K(T(x,y),y * x).
K(x / (x / y),y \ x) = K(y,y \ x).
K(x,y) * z != 1 | K(y,x) = z.
K(x * K(y,x),y) = K(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 \ y) \ y) = K(x \ y,x).
K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)).
K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)).
K(x,y * K(x,y)) = K(x,y).
1 / K(x,y) != z | K(y,x) = z.
L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1.
T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x).
L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u).
T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z).
(x * K(y,x)) \ 1 = x \ K(x,y).
K(x,T(y,x)) != z | K(x,y) = z.
T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1.
1 / (x \ K(y,x)) != z | T(x,y) = z.
T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y).
K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y.
K(x \ y,x) * (y / x) = x \ y.
K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z).
(T(x,y) * y) / T(x,y) = y * K(x,y).
(x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y).
((x \ (1 / y)) * x) * y = K((x * y) \ 1,x).
(x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y.
(x * y) \ ((x * y) / x) = L(x \ 1,x,y).
T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)).
x * ((y * z) / y) = x * (z * K(y,z)).
T(x * y,y) / T(x,y) = y * K(x * y,y).
x \ T(x * y,y) = y * K(x * y,y).
((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z).
R(x * K(y,x),y,z) = ((y * x) * z) / (y * z).
R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x).
T(x * K(y * x,x),y) = R(x,y,x).
L(x * K(y,x),z,u) = (y * L(x,z,u)) / y.
R(x * K(y,x),z,u) = (y * R(x,z,u)) / y.
((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)).
T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x).
(x * K(x * y,x)) * y = T(x * y,x).
L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z).
L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y.
((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y).
(x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y).
((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y).
K(x,y) = (1 / y) * ((x * y) / x).
(x \ (y * K(x,y))) * x = (x \ y) * T(x,y).
K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x.
((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x).
(x \ y) \ (y / x) = K(x,x \ y).
x * K(y,x) != z | (y * x) / y = z.
K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y).
(x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u.
T(x,y * x) * (x \ 1) = K(x,x * y).
T(x,y) * (x \ 1) != z | K(x,y) = z.
T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)).
(x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y).
(x * y) / x != z | y * K(x,y) = z.
(x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)).
x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y).
L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y.
x / (y / (y / x)) = K(x,x \ y).
x \ (y * (x / y)) = K(y,y \ x).
K(x,x \ (y \ x)) = K(x,y \ 1).
K(x,x \ y) \ 1 = K(y / x,x).
x * K(x / y,y) = (y \ x) * y.
(1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z.
L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w.
R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w.
x * T(x \ 1,y) != z | K(x \ 1,y) = z.
L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w.
x \ L(T(x,y),y,x) != z | K(x,x * y) = z.
K(x,x \ (y * x)) != z | K(x,y) = z.
K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w.
K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u.
K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z.
T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y).
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).
K((x * y) \ x,x * y) = K(y \ 1,x * y).
x * T(x \ y,z) = y * K((y \ x) \ 1,z).
K((x / y) \ 1,z) * y = x * T(x \ y,z).
(x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z).
x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z).
(x * y) * T((x * y) \ x,z) = x * K(y \ 1,z).
((x * y) \ x) * (x * y) = x * K(y \ 1,x * y).
K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y).
x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y.
(x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z).
(x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z.
(x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u.
K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x.
x \ (T(x,y) * z) = K(x,y) * z.
K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)).
K(x,y) * (T(x,y) \ z) = x \ z.
((x * y) / x) \ z = K(y,x) * (y \ z).
K(x,y) * (z * x) = T(x,y) * T(z,x).
K(x,y) * T(y,x * y) = L(y,x,y).
K(x,y) * T(y,y * x) = L(y,x,y).
K(x * y,x) * T(x,y) = R(x,y,x).
T(x,y) * z != x * u | K(x,y) * z = u.
(x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u).
x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x).
(x \ y) / (T(x,z) \ y) = K(x,z).
(x \ y) * T((x \ y) \ y,z) = K(x,z) * y.
T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y).
x * (K(x,y) * (x \ z)) = K(x,y) * z.
((x * y) / x) \ (y * z) = K(y,x) * z.
(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) \ (y * z) = T(y,x) * z.
x \ (K(x,y) * z) = K(x,y) * (x \ z).
x \ (K(y,x) * z) = T(x,y) \ z.
K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x).
K(x,y) * T(x,z) = T(x,y) * K(x,z).
T(x,y) \ (x * z) = K(y,x) * z.
K(x,y) * (y \ z) = T(y,x) \ z.
((x * y) / x) * (y \ z) = K(x,y) * z.
x \ (((y * x) / y) * z) = K(y,x) * z.
K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y).
T(x,y) * (K(y,x) * z) = x * z.
K(x,y) * (y \ z) != u | T(y,x) \ z = u.
K(x,y) * T(T(y,x),z) = y * K(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 * T(x \ y,y)) * (y \ 1) = K(x \ y,y).
K(x,(x / y) / x) = K(x,1 / y).
K(x,1 / y) != z | K(x,y \ 1) = z.
K(x,x / y) = K(x,y \ x).
K(x,(y \ x) \ x) = K(x,y).
K(x,x / (x / y)) = K(x,y).
K(x,T(y,y \ x)) = K(x,y).
K(x * y,T(x,y)) = K(x * y,x).
T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)).
K(x,(x \ 1) * y) * y = x * (y / x).
K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x).
K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w.
T(x,y) * (x \ z) != u | K(x,y) * z = u.
K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w).
K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w).
(K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)).
(x \ 1) / (x \ K(x,y)) = K(y,x).
K(x,y) * (y \ K(y,x)) = y \ 1.
K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1).
K(x,y) * (z * K(y,x)) = T(z,K(y,x)).
K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x).
K(x,y) * (K(y,x) * z) = z.
x \ (K(y,z) \ x) = T(K(z,y),x).
K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z).
x * (K(y,z) * u) != u | K(z,y) = x.
x / (K(y,z) * x) != u | K(z,y) = u.
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.
T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1.
R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u).
R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)).
K(x,y) * z != u | K(y,x) * u = z.
K(x,y) \ z != u | K(y,x) * z = u.
K(x,y) * (K(z,y) * K(y,x)) = K(z,y).
K(x,y) * (K(x,z) * K(y,x)) = K(x,z).
L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u).
R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u).
K(x,y) * (x * z) != u | T(x,y) * z = u.
((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)).
T(x,x \ y) / (y \ x) = x * (y / x).
T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x).
T(K(x,y) / (1 / y),x) = 1 / (1 / y).
T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x).
K(x,T(y,T(x,z))) = K(x,y).
T(x,T(y,T(x,z))) != u | T(x,y) = u.
R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u).
T(x,x \ K(x,y)) = (x \ 1) \ 1.
(x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1.
T(x,y \ K(y,z)) = T(x,z / (z * y)).
K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)).
1 / (x * K(y,x)) = K(x,y) / x.
T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))).
(x \ y) * K(x,x \ y) != z | y / x = z.
T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)).
K(x,y \ 1) * (y \ x) = x * ((y \ x) / x).
T(x,K(y,y \ x)) = x.
x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y).
(x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y).
K(x / y,y) != z | K(y \ x,y) = z.
T(x / y,z) \ x = K(x / y,z) \ y.
x * (K(x,y) * z) != u | T(x,y) * z = u.
x \ y != K(x,z) * u | T(x,z) \ y = u.
(L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w).
(R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)).
L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w.
T(x,y) * (K(y,x) * z) != u | x * z = u.
K(x,y) * z != u | y * (T(y,x) \ z) = u.
K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y.
T(x,y) \ T(x,z) = K(y,x) * K(x,z).
K(x,y) * (y * z) = y * (K(x,y) * z).
K(x,y) * (x / y) = x / T(y,x).
K(x,y / z) * (z * T(z \ y,x)) = y.
K(x * y,x / (x * y)) = K(x * y,1 / y).
(x \ 1) / (x \ K(x,y)) != z | K(y,x) = z.
K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z.
K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z.
(x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y).
(x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)).
(K(x,y) / x) \ 1 = x * K(y,x).
(x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z).
R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z.
K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x.
T(x,x * y) * K(y,x) = L(x,y,x).
T(x,y) * K(x * y,x) = R(x,y,x).
T(x,x * y) \ T(x,y) = x \ R(x,y,x).
K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y.
K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z.
K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w.
T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u.
T(x,T(y,x)) != z | T(x,y) = z.
T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5.
K(x,x * y) * K(y,x) = x \ L(x,y,x).
T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x).
K(x,y) * K(x * y,x) = x \ R(x,y,x).
(x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x).
K(x \ (x * y),x) = (y * x) * ((x * y) \ 1).
R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u).
K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x.
K((1 / x) \ y,y) = K(y * x,y).
K(x * (y \ 1),x) = K(y \ x,x).
K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z).
(x * K(y,x)) \ y = x \ (y * K(x,y)).
K(x,y) * (((y * x) / y) * z) = x * z.
x * ((x * K(y,x)) \ z) = K(x,y) * z.
K(x * (1 / y),x) = K(y \ x,x).
K((x \ 1) \ y,y) = K(y * x,y).
(x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u).
x / (y * T(y \ x,z)) = K(z,x / y).
K(x,y) / (1 / T(y,x)) = 1 / (1 / y).
K(x * K(y,y \ 1),z) = K(x,z).
K(x * K(y \ 1,y),z) = K(x,z).
K(K(x \ 1,x) * y,z) = K(y,z).
K(((x \ 1) \ 1) * y,z) = K(x * y,z).
K((1 / x) \ y,z) = K((x \ 1) \ y,z).
K((1 / x) * y,z) = K((x \ 1) * y,z).
K(x \ K(y \ 1,y),z) = K(x \ 1,z).
K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u).
K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u).
K(x \ (1 / y),z) = K(x \ (y \ 1),z).
K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u).
K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u).
R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1).
(x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1).
x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1).
(x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1).
x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y).
((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1).
((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y.
L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x.
K(x,x * (y \ 1)) = K(x,y \ x).
K(x,y / (z * y)) = K(x,z \ 1).
K(x,(y \ z) / z) = K(x,y \ 1).
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(z,z \ 1)) = K(x,y).
K(x,y * K(z \ 1,z)) = K(x,y).
K(x,K(y,y \ 1) * z) = K(x,z).
K(x,y * ((z \ 1) \ 1)) = K(x,y * z).
K(x,y * T(z,z \ 1)) = K(x,y * z).
K(x,K(y \ 1,y) * z) = K(x,z).
K(x,y * (1 / z)) = K(x,y * (z \ 1)).
K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)).
K(x,T(y,y \ 1) * z) = K(x,y * z).
K(x,(1 / y) \ z) = K(x,(y \ 1) \ z).
K(x,(1 / y) * z) = K(x,(y \ 1) * z).
K(x,((y \ 1) \ 1) \ z) = K(x,y \ z).
K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u).
K(x,y \ (1 / z)) = K(x,y \ (z \ 1)).
K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u).
K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)).
K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u).
K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))).
K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w).
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).
T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)).
T((x * y) / x,z) = T(y * K(x,y),z).
T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z).
T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x).
T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x).
T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)).
T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y).
T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u.
T(T(x,y),z) != u | T(T(x,z),y) = u.
T(T(x,y),x * z) != u | T(T(x,y),z * x) = u.
T(T(x,y),z * x) != u | T(T(x,x * z),y) = u.
L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w.
K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)).
x * (y * K(z,y)) != u | u / ((z * y) / z) = x.
x \ (y * T(y \ x,x)) = K((1 / y) * x,x).
x \ T(x * y,y) = y * K(y * x,y).
K(x,y * x) = K(x,x * y).
K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z).
K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z.
(x * K(y,x)) \ z = K(x,y) * (x \ z).
x * (K(x,y) * T(z,x)) = K(x,y) * (z * x).
K(x,y) * T(x,z) = K(x,z) * T(x,y).
K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u.
K(x,y) * (y * z) = ((x * y) / x) * z.
((x * y) / x) * z = y * (K(x,y) * z).
x \ ((y / (y / x)) * z) = K(x \ y,x) * z.
x \ ((x * K(y,x)) * z) = K(y,x) * z.
T(x,x \ (y * x)) / ((y * x) \ x) = x * y.
(K(x,y) / (1 / y)) * x = x * (1 / (1 / y)).
T(x,y) \ T(x,z) = K(x,z) * K(y,x).
R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u.
x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u.
K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z.
(x \ K(x,y)) * T(x,x \ 1) = K(x,y).
K(x \ y,x) * ((y / x) * z) = (x \ y) * z.
K(R(x,y,z),x \ 1) = K(x,x \ 1).
R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1).
R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z).
x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)).
x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)).
K(x,y) / (K(x,y) / y) = 1 / (1 / y).
K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u).
K(x \ ((y \ 1) * y),z) = K(x \ 1,z).
(1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y.
K(x,(y \ 1) \ x) = K(x,x * y).
K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u).
K(x,(1 / x) * y) * y = x * (y / x).
K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u).
(x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x.
K(x * y,y) = K(y * x,y).
K((x \ 1) \ y,y) = K(x * y,y).
K((1 / x) * y,y) = K(x \ y,y).
((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y).
(x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z).
K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u.
K(x,x \ y) * ((x \ y) * z) = (y / x) * z.
(x * K(y,x)) * z = K(y,x) * (x * z).
(K(x,y) * y) * z = K(x,y) * (y * z).
(x \ y) * (K(x,x \ y) * z) = (y / x) * z.
(x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z).
(x / (x / y)) * z = y * (K(y \ x,y) * z).
(x * K(y,x)) * z = x * (K(y,x) * z).
L(x,K(y,z),z) = x.
(x * K(y,x)) * z != u | x * (K(y,x) * z) = u.
K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y.
L(x,y,K(z,y)) = x.
L(x,T(y,z),K(z,y)) = x.
R(K(x,y),y,z) = K(x,y).
R(x,K(y,x),z) = x.
(T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u).
(R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w).
L(x \ 1,T(x,y),y) = L(x \ 1,x,y).
T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y).
L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w.
L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z.
T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u.
T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w.
K(x,y) * z != u | T(x,y) * (x \ z) = u.
K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u.
K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w.
T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u.
T(x,y) * z != u | x * (K(x,y) * z) = u.
K(x * y,x) * K(x,y) = x \ R(x,y,x).
K(x,y) * K(y,y * x) = y \ L(y,x,y).
x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z.
K(x,y) * K(y * x,x) = x \ R(x,y,x).
x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y).
x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z.
K(x * y,y) * K(y,x) = y \ R(y,x,y).
((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x).
T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x).
T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u.
K(T(1 / x,y) \ 1,z) = T(K(x,z),y).
x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x.
x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u.
K(x,R(T(K(x,y),z),u,w)) = 1.
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(1 / (K(x,y) / x),y) = 1 / (1 / x).
(1 / (K(x,y) / x)) * y = y * (1 / (1 / x)).
K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z).
(((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y).
L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)).
L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y).
L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u).
R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)).
R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((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).
K((x / y) \ 1,z) = K(y / x,z).
R(K(x / y,z),x / y,u) = K((y / x) \ 1,z).
K((x / y) \ 1,x) = K(x \ y,x).
K(x / (y * x),z) = K(y \ 1,z).
K((x / ((1 / x) \ y)) \ 1,x) = K(y,x).
K(x \ (y \ x),x) = K(y \ 1,x).
((x * y) \ y) * (x * y) = y * K(x \ 1,x * y).
x \ (y \ ((z \ (y * x)) * z)) = K((x \ (y \ z)) \ 1,z).
x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y).
x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y).
T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u).
(((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y.
x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z).
x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)).
(x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y.
((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x).
(x * K((x \ y) \ 1,z)) / y = T(x / y,z).
T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z).
T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x.
K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z).
x \ (y * T(y \ x,x)) = K((y / x) \ 1,x).
K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z).
(x \ K(x,y)) * x = (x \ 1) * T(x,y).
T(T(x,y),z) * K(y,x) = x * K(T(x,y),z).
T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z).
(x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1).
(x * y) * (x / (x * y)) = x * K(x * y,1 / y).
K(x,y) = (x * y) * ((y * x) \ 1).
(x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x.
K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u).
K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u).
K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w).
K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u).
K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w).
K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)).
T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u.
T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)).
T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)).
T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)).
T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y).
K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z.
K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)).
T(x,T(y,x)) / ((y * x) \ x) = x * y.
T(x,y) / ((y * x) \ x) = x * y.
T(x,y) = (x * y) * ((y * x) \ x).
(x * y) \ T(x,y) = (y * x) \ x.
((x \ y) * x) \ x = y \ T(x,x \ y).
L(T(x,y) \ 1,x,y) = (x * y) \ y.
(1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z).
(R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x.
K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z).
(x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z).
R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u).
L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z.
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)) * (K(z,y) * u) = T(K(z,y),x) * u.
T(K(x,y) \ z,K(y,x)) = z / K(x,y).
T(T(x,K(y,z)),K(z,y)) = x.
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
T(K(x,y),K(z,y)) = K(x,y).
T(K(x,y),K(x,z)) = K(x,y).
K(x,y) \ K(z,x) = K(z,x) * K(y,x).
K(x,y) * K(z,y) = K(z,y) * K(x,y).
K(x,y) * K(x,z) = K(x,z) * K(x,y).
x * K(y,(x \ z) \ 1) = K(y,x / z) * x.
x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x).
T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y).
K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1).
K(x,y) / (1 / y) = 1 / (K(y,x) / y).
((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x).
(x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x).
K((x / y) \ 1,y) = K((1 / x) * y,y).
K((x / y) \ 1,y) = K(x \ y,y).
K(x / y,x) = K(y \ x,x).
K((x \ y) \ y,y) = K(x,y).
L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x).
(1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x.
L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)).
(x \ R(x,y,z)) \ 1 = R(x,y,z) \ x.
(x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x.
K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))).
K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w).
K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z).
L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1.
((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x.
K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x.
T(x,K(y,y \ 1)) != z | z = x.
T(x / y,y) != z | y \ x = z.
T(x,x \ y) != z | (x \ y) \ y = z.
R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w.
T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x).
T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x).
K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x).
((x * y) / x) * z != u | y * (K(x,y) * z) = u.
x \ K(x * y,x \ 1) = y / (y / (x \ 1)).
(x \ K(x * y,x \ 1)) \ y = y / (x \ 1).
K(x,L(x,y,z) \ 1) = K(x,x \ 1).
L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x).
K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u).
(x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)).
L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z).
T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x.
K(x,T(y,L(y,z,u) \ 1)) = K(x,y).
L(T(K(x,y \ z),u),y \ z,y) = T(K(x,(z \ y) \ 1),u).
((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z).
T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x).
((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)).
T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u.
a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x).
R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z).
K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z.
R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,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.
K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w).
K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w.
K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z).
K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u).
K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u).
K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w.
(x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z).
(1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z).
x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y).
x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z).
K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)).
K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y).
x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1).
x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z.
K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x).
K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x).
K(x \ 1,y * x) = K(x \ 1,x * y).
x * T(x \ 1,y * x) = K(x \ 1,x * y).
T(x \ 1,y * x) = T(x \ 1,x * y).
T(x \ 1,y * x) = ((x \ 1) \ y) \ y.
T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x).
T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y).
T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x.
(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 \ (y \ x)) * z)) = K(z,x / (z * y)).
x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))).
R(K(x,y),x,z) != u | K(x,y) = u.
((x * y) \ y) * (x * y) = y * K(x \ 1,y * x).
T(x * y,y \ 1) = ((x * y) \ x) \ x.
x / T(x * y,y \ 1) = (x * y) \ x.
L(x \ 1,x,y) \ y = T(y * x,x \ 1).
x / T(x * y,y \ 1) = L(y \ 1,y,x).
T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1).
x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x).
x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z).
K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x.
(x * y) * (x / (x * y)) = x * K(x * y,y \ 1).
K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)).
K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1).
1 / L(K(x,y),z,u) = L(K(y,x),z,u).
1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w.
L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w.
(1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z.
(x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z.
K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u).
K(x,y * (x \ 1)) = K(x,x \ y).
K(x,R(y,x,x \ 1)) = K(x,x \ (x * y)).
K(x,R(y,x,x \ 1)) = K(x,y).
T(x,R(y,x,x \ 1)) = x * K(x,y).
K(x,y) = T(y,R(x,y,y \ 1)) \ y.
K(R(x,y,y \ 1),y) = K(x,y).
K((1 / x) \ y,x \ 1) = K(y * x,x \ 1).
(x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x).
T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x.
L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x).
L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w.
(L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w).
R(x,x \ (y \ x),x) = R(x,y \ 1,x).
K(x \ 1,L(x,y,z)) = K(x \ 1,x).
K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)).
L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x).
x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x).
x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x.
x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x.
T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y).
K(x,L(y,x,x \ 1)) * (y * x) = x * y.
K(x,L(y,x,x \ 1)) = K(x,y).
T(1 / L(x,y,z),x) = L(x,y,z) \ 1.
(1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1).
K(x,y) = (y / (y / x)) \ L(x,x \ y,x).
K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x).
K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)).
K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x).
K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1).
K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1.
(1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1.
T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x).
T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1.
(x / (x * y)) \ T(x,y) = x * (y * K(x,y)).
(x / (x * y)) \ T(x,y) = T(x,y) * y.
(x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u).
(x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z).
(x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y.
((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y).
R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y).
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(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1).
K(x,R(y,x,z) \ 1) = K(x,y \ 1).
K(x,R(x,y,z) \ 1) = K(x,x \ 1).
K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u).
K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u).
K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w).
K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1).
K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x.
R(K(x,y),z,u) \ 1 = R(K(y,x),z,u).
R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1).
(R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1).
T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u).
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).
R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y).
K(x,R(y,y \ z,u)) = R(K(x,y),z,u).
R(K(x,y),T(y,z),u) = K(x,y).
(K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1.
(K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u).
K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u).
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,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)).
R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)).
K(x * y,R(x,y,z)) = K(x * y,x).
K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)).
R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z).
R(x,y,x) \ K(x * y,x) = T(x,y) \ 1.
K(x,(x * y) / z) = K(x,(z / y) \ x).
R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1).
K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u.
K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y).
L(x,T(y,z),K(u,y)) = x.
K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u).
K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1).
R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1).
R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u).
R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1).
x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1).
K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u).
(K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w).
K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z).
x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y).
K(x * y,T(y,z)) = K(y * x,T(y,z)).
K(x / y,(x / y) \ x) = K(y \ x,y).
K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5.
K(R(x,y,z),x \ R(x,u,w)) = 1.
K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)).
R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w.
(x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y).
R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u.
((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y).
L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w.
x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w).
L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u).
L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w.
x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5.
L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w.
L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5.
K((x * (y \ 1)) \ 1,y) = K(x \ y,y).
(x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z).
K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)).
K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x.
x * (y \ K(y \ x,x)) = T(x * (y \ 1),x).
((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x).
x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x.
K(x,y / (x / (z \ 1))) = K(x,y / (x * z)).
K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x).
K(x,y \ K(y,z)) * z = z * K(x,y \ 1).
(((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y.
K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1).
R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u).
R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z).
(x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z.
K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y).
R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5.
T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1).
T(x,R(x,y,z) \ 1) = T(x,x \ 1).
(R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x.
(R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x.
(1 / R(x,y,z)) * x = R(x,y,z) \ x.
T(1 / R(x,y,z),x) = R(x,y,z) \ 1.
x / R(x,y,z) = R(x,y,z) \ x.
(x / R(x,y,z)) * u = (R(x,y,z) \ x) * u.
(R(x,y,z) \ x) * R(x,y,z) = x.
R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)).
K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))).
T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y).
(K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y).
T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)).
(R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5.
R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z.
(L(x,y,z) \ x) / x = 1 / L(x,y,z).
(1 / L(x,y,z)) * x = L(x,y,z) \ x.
x / L(x,y,z) = L(x,y,z) \ x.
(L(x,y,z) \ x) \ x = L(x,y,z).
L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w.
L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y).
L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x).
L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u).
L(T(K(x,y \ z),u),y \ z,y) = K(x,T(z \ y,u) \ 1).
R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x).
R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x).
L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y).
(K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x).
(K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x).
R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u.
T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w.
(x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y.
(1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y).
(1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)).
(x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z).
K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z).
K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y).
x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z).
R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y).
T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1).
(1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z.
K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z).
(K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z).
(x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z.
K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y.
K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z).
(x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)).
K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y.
K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)).
x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x).
((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x).
((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x).
L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z).
T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x).
K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u).
T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)).
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((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y).
K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z).
((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)).
((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x).
((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x).
T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x.
(K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1.
K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y.
K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u).
T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w.
T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w.
(K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u).
T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x).
T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w.
T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u.
(x * K(y,z)) * z = x * (z * K(y,z)).
(x * K(y,z)) \ (x * (z * K(y,z))) = z.
(x * K(y,z)) * z = (x * z) * K(y,z).
(x * y) * K(z,y) = x * ((z * y) / z).
(x * (y \ z)) * K(y,y \ z) = x * (z / y).
L(K(x,y),y,z) = K(x,y * K(x,y)).
a(x,y,K(z,y)) = 1.
L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u).
a(x,T(y,z),K(z,y)) = 1.
L(K(x,y),T(y,x),z) = K(x,y).
L(K(x,y),x,z) != u | K(x,y) = u.
(1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u).
(x * T(y,z)) \ (x * y) = K(z,y).
K(x,(y \ z) \ 1) = K(z \ y,x) \ 1.
K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y).
T(K(x,y / z),y) = K(x,z \ y).
K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1).
K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)).
K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1).
K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1).
K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)).
K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y).
K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x).
K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w).
x * K(y,z \ x) = z * ((y * (z \ x)) / y).
K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w).
x \ (y * T(y \ x,z)) = K(y \ x,z).
((x / T(y,z)) * y) \ x = K(y,z).
(x * y) * K(y,z) != u | x * T(y,z) = u.
(x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z).
(x / y) \ (x * K(y,z)) = T(y,z).
(x * T(y,z)) * K(z,y) = x * y.
(x * T(x \ y,z)) \ y = K(z,x \ y).
((x / y) * T(y,z)) \ x = K(z,y).
R(x,y,K(y,z)) = x.
x * T(x \ y,z) = y * K(x \ y,z).
x * T(x \ y,z) != u | y * K(x \ y,z) = u.
R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z).
((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)).
K(x,y) * T(y * x,z) = (x * y) * K(y * x,z).
(x * y) * (z * K(y,z)) = (x * T(y,z)) * z.
(x * T(y,z)) / y = x * K(y,z).
(x / T(y,z)) * K(y,z) = x / y.
(x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1).
(x * K(y,z)) \ (x * T(y,z)) = y.
((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1).
(x * K(y,z)) / z = x / T(z,y).
(x / T(y,z)) * y = x * K(z,y).
R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z).
(x * K(y,z)) \ x = K(z,y).
(x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u).
(x * K(y,z)) * K(z,y) = x.
x / K(y,z) = x * K(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) != u | x * K(z,y) = u.
L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z).
((x * K(y,z)) \ x) \ u = K(y,z) * u.
(x \ R(x,y,x)) \ K(x * y,x) = K(y,x).
(K(x,y) * z) \ z = T(K(y,x),z).
L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u).
(x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z).
(x * (y * K(z,y))) \ (x * y) = K(y,z).
T(x * K(y,z),K(z,y)) = K(y,z) * x.
(K(x,y) * z) * K(y,x) = T(z,K(y,x)).
(x \ K(x,y)) * K(y,x) = x \ 1.
(K(x,y) * K(y,z)) * K(y,x) = K(y,z).
(x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)).
(x * K(y,z)) \ x != u | K(z,y) = u.
x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y).
R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u.
(x * K(y,z)) * (y * K(z,y)) = x * y.
x / K(y,z) != x * u | K(z,y) = u.
R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y).
T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z).
(1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z).
x \ (y * T(x,z)) = T(y * K(x,z),x).
x * T(y * K(x,z),x) = y * T(x,z).
(x * K(y,z)) * y != u | x * T(y,z) = u.
T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u.
(x / y) * K(z,y) = x / T(y,z).
((x / y) * K(y,z)) \ (x * K(y,z)) = y.
(x \ T(y,x)) * K(x,y) = x \ y.
(x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z).
L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)).
(T(x,y) \ 1) * y = (x \ 1) * T(y,x).
K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x).
(x * (y * K(z,y))) * z = (x * y) * T(z,y).
(x * T(y,z)) * T(z,y) = (x * y) * z.
(x * K(y,z)) * T(z,y) = x * z.
L(x,K(x,y),z) = x.
L(T(x,y),K(x,z),u) = T(x,y).
(x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)).
L(x * y,K(y * x,z),u) = (y \ (y * x)) * y.
L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u).
x \ (y * K(z,x)) = T(y / T(x,z),x).
T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z).
T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z).
(x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u).
x * K(y,z) != u * z | x / T(z,y) = u.
(K(x,y) * z) * T(K(y,x),z) = z.
R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1).
x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y).
x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z).
T(K(x / y,z),x) = K(y \ x,z).
K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y).
K((x \ y) \ y,z) = T(K(x,z),y).
K(T(x,y) \ 1,z) = K((x * y) \ y,z).
T(x,(y \ z) \ 1) = K(z \ y,x) \ x.
K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u.
K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u).
T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x).
x \ T(x * y,z) = y * K((x \ 1) \ y,z).
x * (y * K((x \ 1) \ y,z)) = T(x * y,z).
(x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z).
x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y).
x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z).
T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y).
x / T(y \ x,z) = y * K(z,y \ x).
(x / y) * K(x,y) = T(x,y) / y.
K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)).
K(x,y) = (x \ T(y,x)) \ (x \ y).
(x \ y) * K(y,x) = x \ T(y,x).
(x * K(y,z)) \ (x * z) = T(z,y).
K(x / y,z) * x = x * K(y \ x,z).
K(T(x,x \ y),z) = T(K(x,z),y).
x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y.
x \ T(x * y,x) = y * K(x * y,x).
T(x,y) * K(y,T(x,y)) != z | z = x.
(x / y) * K(z,y) != u | x / T(y,z) = u.
((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z.
L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w.
R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w.
(x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u.
T(T(x,K(y,z)),K(z,y)) != u | u = x.
L(T(x,K(y,x)),K(y,x),z) = x.
L(x,K(y,x),z) = x.
(x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)).
(x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)).
(x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)).
(x * ((y * z) / y)) * K(z,y) = x * z.
(x * ((y * z) / y)) * y = (x * z) * T(y,z).
K(x,(y \ z) \ 1) != u | K(x,z \ y) = u.
L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))).
(((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y).
(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)).
T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)).
x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u.
(x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z).
T(K(x,y) * z,K(x,y)) = z * K(x,y).
T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u.
(K(x,y) \ z) * K(x,y) = T(z,K(x,y)).
(x * y) / ((z * y) / z) = x * K(y,z).
x / (y * K(z,y)) = (x / y) * K(y,z).
(x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y).
(x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)).
K(((x \ 1) * y) \ y,z) = T(K(x,z),y).
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,(y \ z) \ 1) != u | T(x,z \ y) = u.
T(x,(y * z) \ y) = T(x,z \ 1).
T(x,T(y,z) \ 1) = T(x,(y * z) \ z).
T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)).
T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z.
K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x).
(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).
(x / ((y * z) / y)) * z = x * K(z,y).
T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u).
T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u.
x / T(K(y,z),x) = K(y,z) \ x.
(x / (y * K(z,y))) * y = x * K(y,z).
x / ((y * z) / y) = (x / z) * K(z,y).
(x / (y \ z)) * K(y \ z,y) = x / (z / y).
(x / (y / (y / z))) * z = x * K(z,z \ y).
(x / ((y * z) / y)) * K(y,z) = x / z.
(x / (y / z)) * K(z,z \ y) = x / (z \ y).
x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z).
(x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u.
x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u.
K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u.
K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w.
K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w.
T(K(x,y / z),y) != u | K(x,z \ y) = u.
T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u.
K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w.
(x * ((y / z) / x)) * z = y * K(x,(x * z) \ y).
x * T(y / x,T(x,z)) = T(y,K(x,z)).
x \ T(y,K(x,z)) = T(y / x,T(x,z)).
((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z).
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y).
K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u).
T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y).
K((x \ 1) \ y,x) = K(x * y,x).
T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z).
K((1 / x) \ y,x) = K(x * y,x).
(K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)).
(x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u.
L(x * y,K(y * x,z),u) = x * y.
(x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)).
(x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6.
T(x,y \ z) != u | T(x,(z \ y) \ 1) = u.
x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u.
x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w.
K((x \ y) \ 1,z) != u | K(y \ x,z) = u.
T(K(x / y,z),x) != u | K(y \ x,z) = u.
K(x / y,x) != z | K(y \ x,x) = z.
T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u.
T(x,L(y \ 1,y,z) \ 1) = T(x,y).
T(x,x \ T(x * y,y \ 1)) = T(x,y).
T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y).
T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u.
L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1).
T(K(x,y),z * y) = K(x,T(y,z)).
(x * y) * K(z,T(x,y)) = K(z,x) * (x * y).
K(x,T(y,z / y)) = T(K(x,y),z).
((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z.
K(x * y,z) * (y * x) = K(y,x) * T(x * y,z).
T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z).
x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z).
K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x).
(x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y.
L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))).
K((x * y) \ z,y) = K((y * x) \ z,y).
(x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z).
1 / K((x * y) \ z,x) = K(x,(y * x) \ z).
K(x,(y * x) \ z) = K(x,(x * y) \ z).
K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u.
x * (y \ R(y,x,y)) = T(y * x,y) / y.
R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y).
R(x,K(y,z),T(z,u)) = x.
x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x).
T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y).
T(x / y,(x / y) \ T(x,y \ 1)) = y \ x.
T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1).
K((x / y) \ z,x) = K((y \ x) \ z,x).
(x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u.
T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y).
L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)).
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).
L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)).
K(x,(y \ z) \ x) = K(x,z \ (y * x)).
K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)).
T(x,(y * z) \ (y * x)) = x * K(x,z \ x).
K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)).
K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y).
K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)).
K(x,L(y \ z,y,K(z,u))) = K(x,y \ z).
L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z).
K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y).
T(x,(y * z) \ (y * x)) = T(x,z \ x).
T(x,(y \ z) \ x) = T(x,z \ (y * x)).
K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))).
L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w).
(x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)).
K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y).
K(x,L(y,z / y,u)) = L(K(x,y),z,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)).
L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)).
K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x).
L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)).
T(x,K(y,L(x,z,u))) = x.
K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w.
L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z).
K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x).
L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)).
K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w.
K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w.
(x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u).
x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y).
(x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z).
(x / T(y,y * z)) * K(y,z) = x / L(y,z,y).
(x / T(y,z)) * K(y,y * z) = x / R(y,z,y).
(x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y.
L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z).
L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u).
L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u).
L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u).
L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z).
L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w).
L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x).
K(L(x \ y,x,z),y) = K(x \ y,y).
L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u).
L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z).
K((x \ y) \ z,z) = K(y \ (x * z),z).
K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)).
K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z).
K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))).
K(L(x,y,z),y * x) = K(x,y * x).
(x * (y * z)) / K(L(y,z,x),z) = x * (z * y).
K(L(x,y,z),y * x) = K(x,x * y).
K((1 / x) * y,y \ x) = K(x \ y,y \ x).
L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z).
K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)).
(x * (y * z)) * K(z,L(y,z,x)) = x * (z * y).
(x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u.
a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u.
L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1).
T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1.
L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w).
K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w.
K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w.
(x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z.
K((x * y) \ 1,x) = K(y \ (x \ 1),x).
x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u).
L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x).
L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y).
((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x).
K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w.
K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w.
K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1).
K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w.
K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1).
(x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w).
(x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x.
x / L(K(y,z),u,w) = x * L(K(z,y),u,w).
x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x.
(x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x).
(x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x).
(x * (y * K(z,u))) * L(K(u,z),y,x) = x * y.
x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w).
(x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w.
(x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w.
x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z).
K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x).
R(x,K(y,z),R(z,u,w)) = x.
x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y).
R(x,K(y,z),L(z,u,w)) = x.
(x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u).
(x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u).
(x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z).
(x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x).
T(K(x \ K(x,y),z),y) = K(x \ 1,z).
K(x \ K(x,y),z) * y = y * K(x \ 1,z).
K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)).
(x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1.
((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y).
(x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x).
K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1).
L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u).
K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w.
L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u.
T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x).
(x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z).
K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u.
(x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w).
(((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)).
K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u).
(x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)).
T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y).
((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x.
(x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z.
x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y).
(x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z.
K((x \ 1) \ y,z \ (x * y)) = K(x * 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).
(x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w.
T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u).
(K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z).
(x * y) \ T(y * x,z) = K(y,x) * K(y * x,z).
(x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z).
((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)).
R(x,y,z * K(y,z)) = R(x,T(y,z),z).
L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z).
K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u.
(1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z).
(1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x).
(x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1).
K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1.
K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1.
T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1.
T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z).
T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z).
(L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)).
(L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1.
(x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1.
(x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y).
(x / R(y,y \ x,y)) * y = (y \ x) * T(y,x).
x / R(y,y \ x,y) = y \ (x * K(y,x)).
x / R(y,y \ x,y) = (y * K(x,y)) \ x.
x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x.
((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x).
(x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x).
(x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x).
((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z).
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).
L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w).
L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w).
K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y).
K((x * (y / x)) \ z,y) = K(y \ z,y).
K(((x \ y) * x) \ z,y) = K(y \ z,y).
T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x).
T(x,((y \ x) * y) \ z) = T(x,x \ z).
T(x,x \ T(y,y \ x)) = T(x,x \ y).
T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y).
T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y).
x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y).
a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u.
(x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)).
K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)).
1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z).
1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z).
(L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1.
(L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x).
(L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1.
(L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1).
(x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1).
(x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1).
(x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z).
K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)).
K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)).
K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)).
K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)).
x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u.
K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x).
(x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1).
(x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)).
R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y.
R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)).
T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z).
L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x).
x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x).
x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y).
x / (x * (1 / T(x,y))) = T(1 / (1 / x),y).
T(1 / (1 / x),y) \ x = x * (1 / T(x,y)).
K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z).
K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y).
R(K(x / y,z),x,u) = K((x * u) / (y * u),z).
K(R(x,x \ y,z),u) = R(K(x,u),y,z).
K(R(x,x \ 1,y),z) = K(x,z).
R(K(x,y),x * z,u) = K(R(x,z,u),y).
K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z.
K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u).
K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w.
K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z).
R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u).
R(K(x / (y / z),u),x,z) = K((x * z) / y,u).
K((x * y) / z,x) = K(x / (z / y),x).
K((x * y) / z,x) = K((z / y) \ x,x).
K((x * y) / z,x) != u | K((z / y) \ x,x) = u.
(x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w).
(x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x.
K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z.
K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z).
K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y).
K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y).
K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x).
L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y).
L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y).
L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z).
(x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u).
K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u).
((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u.
K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)).
K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z).
((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u).
R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y).
(x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z).
(x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) = a(x,K(y,z),K(z,u)).
((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y).
((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)).
(x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u).
(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) \ z) = K(x,(x \ y) \ z).
K(x,y \ (((x \ y) * z) * x)) = K(x,z).
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u).
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u).
L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u).
K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u).
(x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x).
L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w).
(L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1).
(x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x.
(x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1).
(x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1.
(x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x).
(x \ L(x,y,z)) \ 1 = L(x,y,z) \ x.
L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)).
L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z).
K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u).
K(x,(y * (x / y)) \ z) = K(x,x \ z).
K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u).
K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u).
K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u).
K(x,((y \ x) \ x) \ z) = K(x,y \ z).
K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w.
L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)).
K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y.
K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y.
T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)).
T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)).
T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)).
(x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1).
R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u).
K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x.
K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5).
((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y).
K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1).
K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)).
K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u.
L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)).
x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x.
(T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)).
x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x.
((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y).
(((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x).
(((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y).
K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x).
K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x).
L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w.
L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w.
L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w.
L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5.
L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w.
L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w.
K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x).
K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w).
R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)).
R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u).
x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x.
((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z).
R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u.
K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w.
T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)).
T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)).
((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x).
(K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y.
T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)).
x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y).
K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x.
L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)).
T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y).
T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1.
(1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x.
(1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x.
K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y).
(1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x.
K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)).
(x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)).
(x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)).
K(x \ y,x * (y \ 1)) = K(x \ y,y \ x).
K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x).
K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y).
K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x).
K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x).
(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).
R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)).
R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)).
R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w.
R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)).
T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y).
(x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u).
((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u).
(x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x).
(x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x).
(L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)).
K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w.
K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w.
x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y).
T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)).
(x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y).
K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1).
(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).
T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z.
(x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)).
R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x).
(x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)).
R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w.
((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x).
(x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x).
(x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1.
(R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1.
T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1).
T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x.
K(R(x,y,z) \ x,x \ 1) = 1.
T(1 / x,R(x,y,z) \ x) = 1 / x.
T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z).
K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)).
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(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)).
(1 / x) * (y * (x / y)) = K(y,y \ x).
x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)).
T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z).
a(x,K(y,z),K(u,y)) = a(x,K(u,y),K(y,z)).
T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)).
(x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)).
(x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y.
(x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y.
K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y).
K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)).
K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)).
K(x,(y * x) \ 1) = K(x,y \ (x \ 1)).
x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)).
K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)).
(x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x.
(1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x).
(1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y.
K(x \ (y \ 1),y) = K(y \ (x \ 1),y).
T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z).
(x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))).
(x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)).
K(x,(x \ 1) \ y) = K(x,x * y).
K(x,(x \ y) \ z) = K(x,y \ (x * z)).
R(x,y,K(x,z)) = x.
(x * (y * K(x,z))) * x = (x * y) * T(x,z).
R(T(x,y),z,K(x,u)) = T(x,y).
R(R(x,y,z),u,K(x,w)) = R(x,y,z).
(T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)).
(L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)).
R(K(x,y),z,K(y,u)) = K(x,y).
K(x,(x * y) \ z) = K(x,y \ (x \ z)).
a(x,y,K(x,z)) = 1.
K(x,L(y,z,x)) = K(x,y).
K(T(x / (x / y),x),z) = K(y,z).
T(x,L(y,z,y)) = x / K(y,x).
L(x,y,x) * K(x,z) = T(L(x,y,x),z).
K(x,y) * L(x,z,x) = L(T(x,y),z,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)).
L(x * K(y,x),z,y) = L(x,z,y) * K(y,x).
K(x,K(y,L(z,u,x))) = K(x,K(y,z)).
K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z).
K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z).
R(K(x,y),z,x) = K(x,y).
K(T(x,x \ y),z) = K(T(x,y),z).
R(x,y,x) * K(x,z) = T(R(x,y,x),z).
x * K(R(x,y,x),z) = T(x,z).
K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u.
(K(x,y) * z) * x = K(x,y) * (z * x).
K(x,R(y,z,x)) = K(x,y).
K(x,(y * x) / z) = K(x,y / (z / x)).
(x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y).
T(x,R(y,z,x)) = x * K(x,y).
K(x,K(y,R(z,u,x))) = K(x,K(y,z)).
R(T(x,y),z,T(x,u)) = R(T(x,y),z,x).
(K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)).
T(x,L(y,z,y)) = T(x,y).
T(x,L(y,z,y)) = x * K(x,y).
T(x / L(y,z,y),y) = L(y,z,y) \ x.
L(x,y,x) * T(z,x) = z * L(x,y,x).
T(x,T(y / z,y)) = T(x,z \ y).
T(x,R(y,z,y)) = T(x,y).
T(x / R(y,z,y),y) = R(y,z,y) \ x.
T(x / y,R(y,z,y)) = y \ x.
R(x,y,x) * T(z,x) = z * R(x,y,x).
T(x,T(y,y \ z)) = T(x,T(y,z)).
T(x,(y * z) / y) = T(x,y / (y / z)).
R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x).
K(x,R(y,z,y)) != u | K(x,y) = u.
R(K(x,y),z,y) = K(x,y).
K(x,T(y,y * z)) = K(x,T(y,z)).
R(x * K(y,x),z,x) = R(x,z,x) * K(y,x).
(K(x,y) * z) * y = K(x,y) * (z * y).
T(x,R(y,z,x)) = T(x,y).
T(x,(y * x) / z) = T(x,y / (z / x)).
T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)).
K(x,L(y,z,y)) = K(x,y).
L(K(x,y),z,y) = K(x,y).
K((x * y) \ z,x) = K(y \ (x \ z),x).
K(L(x,y,z),z) = K(x,z).
K((x \ y) \ z,x) = K(y \ (x * z),x).
(x * y) * K(z,x) = x * (y * K(z,x)).
K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z).
T(x * K(y,x),L(y,z,x)) = x.
K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y).
R(x,y,x) * (x \ z) = (z / x) * R(x,y,x).
T(x,L(y,z,x)) = T(x,y).
T(x,(x * y) \ z) = T(x,y \ (x \ z)).
T(x,(x \ y) \ z) = T(x,y \ (x * z)).
L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u.
K((x \ y) \ y,z) = K(T(x,y),z).
K(T(x,y),z) = T(K(x,z),y).
K(T(x,y),y / z) = K(x,z \ y).
K(T(x,K(y,z)),y) = K(x,y).
x * K(T(y,x),z) = K(y,z) * x.
T(K(x,y),z) * T(x,z) = T(T(x,z),y).
(K(x,y) * z) * K(T(y,z),x) = z.
K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y).
T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x).
T(x,(y \ z) \ z) = T(x,T(y,z)).
T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u.
K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u.
K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)).
K(x,T(y,z \ 1)) = K(x,T(y,z \ y)).
K(x,T(y,z * y)) = K(x,T(y,z)).
K(x,(y \ z) \ z) = K(x,T(y,z)).
K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)).
K(T(x,y),z) = K(x,T(z,y)).
L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)).
K((x \ y) \ y,z) = K(x,T(z,y)).
(K(x,y) * z) \ z = K(y,T(x,z)).
R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)).
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(x,y) * K(z,K(y,x)) = K(x,T(y,z)).
K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)).
K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)).
K(x / y,T(z,x)) = K(y \ x,z).
K(x,T(y,K(x,z))) = K(x,y).
K(x,T(y,R(x,z,u))) = K(x,y).
K(x,T(y,K(z,x))) = K(x,y).
T(K(x * y,x),y) = K(x * y,x).
T(T(K(x,y),z),u) = T(K(x,T(y,u)),z).
K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z).
K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z).
x * K(y,T(z,x)) = K(y,z) * x.
x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y).
T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u.
K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)).
K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y).
K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)).
K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u.
L(K(x,T(y \ z,u)),y \ z,y) = K(x,T(z \ y,u) \ 1).
K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))).
(K(x,y) * z) * K(y,T(x,z)) = z.
K(x,T(y / z,y)) != u | K(x,z \ y) = u.
K(x,T(y,z)) \ 1 = K(y,T(x,z)).
K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1).
K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)).
T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)).
K(x,T(y,x \ z)) = T(K(x,y),z).
T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)).
K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)).
K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)).
K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)).
K(x / y,T(z,y)) = K(y \ x,z).
K(T(x,y),z / y) = K(x,y \ z).
K((x * y) / x,T(z,x)) = K(y,z).
K(L(x,y,z),T(u,x)) = K(L(x,y,z),u).
K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)).
K(T(x,L(y,z,u)),y) = K(x,y).
K(x,T(y,T(T(x,z),u))) = K(x,y).
K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)).
K(x,T(y,R(T(x,z),u,w))) = K(x,y).
T(x,K(y,T(x,z))) = x.
x / K(y,T(x,z)) = T(x,T(y,z)).
T(x,y) * K(x,T(z,y)) = T(T(x,y),z).
K(x,T(y,z)) \ u = K(y,T(x,z)) * u.
K(x,T(y,K(z,z \ x))) = K(x,y).
K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u.
K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w.
K(x,T(y,z)) * T(x,z) = T(T(x,y),z).
a(x,y,K(z,T(y,u))) = 1.
x / K(y,T(z,u)) = x * K(z,T(y,u)).
(x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)).
x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w.
x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x).
K(x,T(y,K(z,L(x,u,w)))) = K(x,y).
(x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)).
K(x,T(y,z)) * y = y * K(x,T(y,z)).
T(x / y,K(z,y \ x)) = x / y.
L(K(x,T(y,z)),y,u) = K(x,T(y,z)).
K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)).
K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)).
K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y).
K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u).
K(T(x * K(y,z),x),u) = K(K(y,z) * x,u).
K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x).
K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)).
K(x,y \ z) * T(x,z) = T(T(x,z),z / y).
x * K(T(y,x),z) = K(z,y) \ x.
K(x / y,z) * y = y * K(y \ x,z).
K((x * y) / x,z) * x = x * K(y,z).
(x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x).
(x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u.
T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)).
T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x.
K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y).
L(x,y / z,K(z \ y,u)) = x.
K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y).
L(x,(y * z) / y,K(z,u)) = x.
K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u).
(x * y) / T(T(x,y),z) = K(z,x) * y.
(x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y.
x \ (y * K(z,T(x,y))) = T(x,z) \ y.
K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1).
K(x,y) * (z * K(y,T(x,z))) = z.
K(x,y) * z != z * u | K(x,T(y,z)) = u.
x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x.
K(x,y / z) * z = z * K(x,z \ y).
x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x.
T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)).
K(x,T(y,z)) != u | K(T(x,z),y) = u.
K(x,T(y,x \ z)) = K(x,T(y,z)).
T(K(x,y),x * z) = K(x,T(y,z)).
K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)).
K(x \ y,z) * (y / x) = T(y / x,T(z,x)).
K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u.
K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y).
(x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w.
L(x,K(y,z),(u * y) / u) = x.
L(x,T(T(y,z),u),K(w,y)) = x.
a(x,T(y,z),K(u,y)) = 1.
R(x,K(y,z),L(T(z,u),w,v5)) = x.
L(K(x,y),T(y,z),u) = K(x,y).
(K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w).
(x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y).
(x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)).
T(x,T(y,T(T(x,z),u))) = K(x,y) * x.
T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)).
K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)).
K(x / y,z) \ y = y * K(z,y \ x).
K(x,T(y,x * z)) = K(x,T(y,z)).
K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)).
T(x,T(y,x \ z)) = x * K(x,T(y,z)).
K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)).
R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)).
(x * y) * K(x,T(z,y)) = K(x,z) * (x * y).
x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w).
K(x,T(y / (x * z),z)) = K(x,(x * z) \ y).
(R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u).
K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)).
K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)).
K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))).
K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))).
T(K(x,y),z) != u | K(T(x,z),y) = u.
K(T(x,x \ y),z) != u | K(T(x,y),z) = u.
K(x,(y / x) \ z) = K(x,y \ (x * z)).
K(x,y \ (z * x)) = K(x,y \ (x * z)).
K(x,(x \ y) \ (x \ z)) = K(x,y \ z).
K(x,(y * x) \ z) = K(x,y \ (x \ z)).
(((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)).
K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z).
(x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)).
L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u).
L(x,y,x) * K(x,z) = L(T(x,z),y,x).
K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x).
R(x,y,x) * K(x,z) = R(T(x,z),y,x).
L(x,y,K(x,z)) = x.
(K(x,y) * z) * x = T(x,y) * T(z,x).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
(K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z).
(K(x,y) * z) / x = K(x,y) * (z / x).
(K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)).
(K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)).
L(K(x,y),z,K(y,u)) = K(x,y).
L(K(x,y),z,K(x,u)) = K(x,y).
K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y).
K(x,L(y,z,K(x,u))) = K(x,y).
L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z).
K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)).
R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y.
R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)).
K(x,R(T(y,z),u,y)) = K(x,T(y,z)).
K(x,T(R(y,z,y),u)) = K(x,T(y,u)).
K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)).
(x / L(y,z,y)) * y = y * (L(y,z,y) \ x).
L(x,y,x) * (x \ z) = (z / x) * L(x,y,x).
(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).
L(x,y,K(z,x)) = x.
K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y).
L(L(x,y,z),u,K(w,x)) = L(x,y,z).
L(K(x,y),z,K(u,y)) = K(x,y).
L(K(x,y),z,K(u,x)) = K(x,y).
K(L(x,y,K(z,u)),u) = K(x,u).
(K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)).
K(x,L(y,z,K(u,x))) = K(x,y).
L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u).
T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1.
K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)).
K((x * y) \ z,y) = K(x \ (y \ z),y).
K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x).
K((x \ y) \ (x \ z),x) = K(y \ z,x).
x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z).
L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)).
R(x,y,K(z,x)) = x.
R(R(x,y,z),u,K(w,x)) = R(x,y,z).
(T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)).
(L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)).
R(x,y,K(z,T(x,u))) = x.
(L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))).
(K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))).
(((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z).
T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z).
K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)).
K(x,T(y \ 1,z)) = K(x,(y * z) \ z).
K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y).
K(x,T(T(y,z),u)) = T(T(K(x,y),u),z).
K(x \ y,K(x,z)) = K(y,K(x,z)).
R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z).
K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)).
K(x,y) * T(x,T(z,y)) = T(T(x,y),z).
K(x,y) \ T(T(x,y),z) = T(x,T(z,y)).
(x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y).
x * K(y,x \ (z \ x)) = K(y,z \ 1) * x.
T(x,T(y \ 1,z)) = T(x,(y * z) \ z).
T(x,T(y,T(T(x,z),u))) = T(x,y).
T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z).
T(x / y,z) \ x = y * K(z,y \ x).
T(x,T(y,x \ z)) = T(x,T(y,z)).
T(x,T(y,x \ y)) = T(x,y).
L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)).
T(x,T(x * y,y)) = T(x,x * y).
K(x,y \ ((x \ z) * x)) = K(x,y \ z).
L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)).
L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))).
(x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)).
K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)).
K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))).
K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)).
L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x).
K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u.
T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x).
(T(x,y) * (x \ z)) * x = T(x,y) * T(z,x).
T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x.
T(x * K(y,z),z) = T(x,z) * K(y,z).
K(x,y) * T(K(x,y) \ z,y) = T(z,y).
T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)).
K(x,y) * T(K(x,y) \ z,x) = T(z,x).
T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w).
K(x \ (y \ (z * y)),y) = K(x \ z,y).
L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)).
K(x \ ((x \ y) \ 1),x) = K(y \ 1,x).
K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)).
L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x).
x / T(y \ x,z) = T(x / y,z) \ x.
x / (y * K(z,y \ x)) = T(x / y,z).
T(x,y \ ((x \ z) * x)) = x * K(x,y \ z).
T(K(x,y) * z,y) = K(x,y) * T(z,y).
T(x * K(y,z),y) = T(x,y) * K(y,z).
(x \ (y * T(x,z))) * x = T(y,x) * T(x,z).
K(x \ 1,y) * (x \ 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) \ z,x) = K(y \ (z * x),x).
T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)).
(T(x / y,z) \ x) \ x = T(y \ x,z).
T(x / (x / y),z) \ x = x / T(y,z).
(x * y) / (x * K(z,y)) = T((x * y) / x,z).
K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y).
x \ (y * T(x,z)) = T(y,x) * K(x,z).
(T(x,y) / y) * T(y,z) = T(x * K(y,z),y).
x \ T(x * K(y,z),y) = K(x,y) * K(y,z).
K(x \ ((y \ z) * y),y) = K(x \ z,y).
K(x \ (y * z),z) = K(x \ (z * y),z).
K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)).
T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y).
T(T(x,y),K(y,z)) = T(x,T(y,z)).
T(T(x,K(y,z)),y) = T(x,T(y,z)).
T(x / y,T(y,z)) = T(y \ x,K(y,z)).
T(x,K(y,z)) * y = y * T(x,T(y,z)).
T(x,T(y,y \ 1)) != z | T(x,y) = z.
K(x,T(y,T(z,x))) = K(x,T(y,z)).
K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)).
T(1 / x,T(y,x)) = T(1 / x,y).
L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x).
T(K(x,y),T(z,y)) = T(K(x,y),z).
K(x,T(y,z / x)) = K(x,T(y,x \ z)).
T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x).
T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y).
T(x,(y \ 1) \ 1) != z | T(x,y) = z.
x \ T(y,K(x,z)) = T(x \ y,K(x,z)).
T(x * y,K(y,z)) = T(x,K(y,z)) * y.
K(x,T(y,z / x)) = K(x,T(y,z)).
K(x,T(y,z * x)) = K(x,T(y,z)).
K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))).
K(x,T(y,z \ 1)) = K(x,T(y,z \ x)).
K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)).
K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)).
T(K(x,y),z * x) = K(x,T(y,z)).
(x * y) * K(y,T(z,x)) = K(y,z) * (x * y).
T(K(x,y),z * x) = T(K(x,y),z).
x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)).
(T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u.
T(K(x,y),z) != u | K(x,T(y,z)) = u.
K(T(x,y),z) != u | K(x,T(z,y)) = u.
K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u.
T(K(x,y),z * x) != u | K(x,T(y,z)) = u.
K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u.
T(K(x,y),K(x,z) * u) = T(K(x,y),u).
T(K(x,y),K(z,x) * u) = T(K(x,y),u).
T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5).
T(x,L(y,z,K(u,x))) = T(x,y).
T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u).
K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)).
K(x,T(y,z * x)) != u | K(x,T(y,z)) = u.
K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u.
(x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x).
R(x * K(y,x),z,x) = K(y,x) * R(x,z,x).
R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u).
K(x,y) * T(x,K(y,z)) = T(x,T(y,z)).
K(x,K(y,z)) * T(x,y) = T(x,T(y,z)).
K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w).
K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w).
K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z).
K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)).
K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z).
K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)).
K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y).
(x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y).
K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)).
(x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u.
K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y).
K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)).
K(x,T(y \ 1,z)) = K(x,z \ (y \ z)).
K(x,(y * z) \ z) = K(x,z \ (y \ z)).
K(x,T((y / z) \ 1,y)) = K(x,y \ z).
x * K(x,y \ (z \ y)) = T(x,(z * y) \ y).
T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)).
x * K(T(y,z) \ x,y) = (y \ x) * y.
x / T(y,T(y,z) \ x) = y \ x.
T(x,T(x,y) \ z) = (x \ z) \ z.
T(x,T(x,y) \ z) = T(x,x \ z).
T(x,x \ (T(x,y) * z)) = T(x,z).
T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z).
T(x,K(x,y) * z) = T(x,z).
T(x,K(x,y) * L(K(z,x),u,w)) = x.
T(x,K(y,x) * z) = T(x,z).
T(x,T(y,x) \ z) = T(x,y \ z).
T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y).
T(x,(y / x) \ z) = T(x,(x \ y) \ z).
K(x,T(y,K(x,z) * u)) = K(T(x,u),y).
L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y).
T(x,y * K(z,x)) = T(x,y).
K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z).
T(x,y * K(x,z)) = T(x,y).
T(x,y / (z / x)) = T(x,y / (x \ z)).
K(x,y * K(x,z)) = x \ T(x,y).
(x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)).
T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)).
T(x,y * L(K(x,z),u,w)) = T(x,y).
T(x,y * (z * x)) = T(x,y * (x * z)).
T(x,(y * x) \ z) = T(x,y \ (x \ z)).
K(x,y * K(x,z)) = K(x,y).
T(x,K(y,x * K(y,z))) = x.
K(x,y * K(x,z)) != u | K(x,y) = u.
K(x,y * R(K(x,z),u,w)) = K(x,y).
K(x,y * K(z,x)) = K(x,y).
K(x,y / (z / x)) = K(x,y / (x \ z)).
K(x,y \ T(z,x)) = K(x,y \ z).
K(x,T(K(y,x) * z,u)) = K(x,T(z,u)).
x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x).
K(x,K(x,y) * z) = K(x,z).
K(x,K(y,x) * z) = K(x,z).
K(x,K(y,x * K(y,z))) = 1.
K(x * K(y,z),z) = 1 / K(z,x).
R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)).
K(x,y \ T(y * z,x)) = K(x,z).
K(x,K(x,y) \ z) = K(x,z).
K(x,T(x,y) * z) = K(x,x * z).
K(x,K(y,x) \ z) = K(x,z).
K(x,R(K(x,y),z,u) * w) = K(x,w).
K(x,R(K(y,x),z,u) * w) = K(x,w).
K(x * K(y,z),z) = K(x,z).
K(x * K(y,z),z) != u | K(x,z) = u.
K(x * T(y,z),z) = K(x * y,z).
R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y).
K(x * L(K(y,z),u,w),z) = K(x,z).
K(T(x,y) * z,y) = K(x * z,y).
K(x * T(y,z),y) = K(x * y,y).
K(x * K(y,z),y) = K(x,y).
K(x * K(y,T(z,u)),z) = K(x,z).
K(K(x,y) * z,y) = K(z,y).
K(K(x,y) * z,x) = K(z,x).
K(K(x,y) \ z,x) = K(z,x).
K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z).
K(K(x,y) * z,x) = K(z * K(x,u),x).
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,T(x * K(y,z),y)) = K(x,x * K(y,z)).
K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z).
K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z).
K(x * T(y,z),y) = K(y * x,y).
K(T(x,y) * z,x) = K(z * T(x,y),x).
K(T(x,T(y,z)) * u,y) = K(x * u,y).
K(x * (y / T(x,z)),x) = K(y,x).
T(x,y * (z * K(x,u))) = T(x,y * z).
T(x,y * K(L(x,z,u),w)) = T(x,y).
L(K(x,y),y,z) != u | K(x,y) = u.
K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u.
K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u.
K(x,K(R(x,y,z),u) * w) = K(x,w).
K(x,K(y,R(x,z,u)) * w) = K(x,w).
K(x \ T(y,z),z) != u | K(x \ y,z) = u.
K(x * (y * K(z,u)),u) = K(x * y,u).
K(x * K(y,L(z,u,w)),z) = K(x,z).
K(x * (y * K(z,u)),z) = K(x * y,z).
K((K(x,y) * z) * u,x) = K(z * u,x).
K(K(R(x,y,z),u) * w,x) = K(w,x).
T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)).
K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6).
K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)).
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(x,y * K(z,R(x,u,w))) = K(x,y).
K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x).
K(K(L(x,y,z),u) * w,x) = K(w,x).
K(R(x,y,z) * u,x) = K(u * R(x,y,z),x).
K(T(x,R(y,z,u)) * w,y) = K(x * w,y).
K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)).
T(x,(y / x) \ z) = T(x,y \ (x * z)).
K(x,T(y,K(x,z) * u)) = K(x,T(y,u)).
T(x,(y * x) / z) = T(x,y / (x \ z)).
T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))).
K(x,(y * x) / z) = K(x,y / (x \ z)).
K(x,T(K(x,y) * z,u)) = K(x,T(z,u)).
K(K(x,y) * z,x) != u | K(z,x) = u.
K(x * y,x) != z | K(y * x,x) = z.
T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)).
K(x * (K(y,z) * u),y) = K(x * u,y).
K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z).
T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z).
K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z).
K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5).
K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u.
T(x,y \ ((x \ z) * x)) = T(x,y \ z).
T(x,y \ (z * x)) = T(x,y \ (x * z)).
T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u.
K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w).
T(x,(y / x) \ z) = T(x,y \ (z * x)).
T(x,(x \ y) \ z) = T(x,y \ (z * x)).
L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)).
L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)).
(x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u.
(x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x.
T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z).
K(x,T(y / z,u)) * y = y * K(x,T(z \ y,u)).
K(x,y) * (z * x) = z * T(x,T(y,z)).
x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z).
K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y).
K(x,K(y,z * y)) = K(x,K(y,z)).
(K(x,y) * z) * K(y,K(x,z)) = z * K(x,y).
K(x,K(y,z)) \ K(y,x) = T(K(y,x),z).
x * K(y,K(z,x)) = T(x,K(z,y)).
K(x,K(y,z)) * z = T(z,K(y,x)).
K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u.
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)) = K(x,T(y,z)).
K(x,K(y,z)) * T(z,y) = T(z,T(y,x)).
K(K(x,K(y,z)) * u,z) = K(u,z).
K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z).
R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)).
T(x,K(y,z)) * K(y,K(z,x)) = x.
K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u.
K(x,K(y,z)) != u | K(z,K(y,x)) = u.
K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u).
(x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u).
K(x,K(K(x,y) \ z,u)) = K(K(x,z),u).
K(K(x,y) * z,K(x,u)) = K(K(z,x),u).
K(x,K(y,z / y)) = K(x,K(y,z)).
K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))).
K(x,K(y,y * z)) = K(x,K(y,z)).
T(x,T(y,K(z,x))) = T(x,y).
T(x,T(y,T(z,x))) = T(x,T(y,z)).
T(x,K(y,y * z)) = K(z,K(y,x)) * x.
K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)).
K(x,K(y,z)) != u | K(y,K(x,z)) = u.
K(x,K(y,z)) = K(z,K(x,y)).
K(x,K(x * y,z)) = K(y,K(x,z)).
x * K(y,K(x,z)) = T(x,K(y,z)).
K(x,K(y,z)) * y = T(y,K(x,z)).
x * K(y,K(x,z)) != u | T(x,K(y,z)) = u.
K(x,K(y,z * y)) = K(y,K(x,y * z)).
K(x,y) * K(y,K(z,x)) = T(K(x,y),z).
(x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1.
K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))).
K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)).
K(x,y) * K(y,K(z,x)) = K(x,T(y,z)).
K(x,K(y,K(x,z) * u)) = K(y,K(x,u)).
x * K(y,K(z,x)) = T(x,K(y,z)).
K(x,K(y,z)) * z = T(z,K(x,y)).
K(K(x,y),z) = K(x,K(z,y)).
K(K(x,y),z) = K(z,K(x,y)).
K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z.
K(x,K(y,z)) != u | K(z,K(x,y)) = u.
K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w).
x * K(K(y,z),x) = T(x,K(y,z)).
K(x,y) * K(y,T(x,z)) = K(x,K(y,z)).
K(x,K(y,x \ z)) = K(z,K(x,y)).
K(x,K(y,z)) * y = T(y,K(z,x)).
K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w.
K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z.
x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)).
x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)).
K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))).
K(x,K(y,z)) * K(y,x) = K(y,T(x,z)).
K(x,y) * K(x,K(z,y)) = K(x,T(y,z)).
x * K(x,K(y,z)) = T(x,K(z,y)).
K(x,K(y,z)) * x = T(x,K(z,y)).
K(x,K(y,z)) != u | K(y,K(z,x)) = u.
K(x,y) * K(z,K(x,y)) = T(K(x,y),z).
K(x,K(y,z)) * K(x,K(y,z)) = 1.
K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u.
K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u.
K(x,K(y,z)) != u | K(x,K(z,y)) = u.
K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)).
K(x,y) * K(z,K(x,y)) = K(x,T(y,z)).
K(T(x,T(y,z)),z) = K(T(x,y),z).
T(x,y * T(z,K(x,u))) = T(x,y * z).
K(x,K(y,z \ 1)) = K(x,K(y,z \ y)).
K(x,K(y,y \ z)) = K(x,K(y,z)).
K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)).
T(x,T(y,z / x)) = T(x,T(y,x \ z)).
K(x,K(x * y,z)) = K(x,K(y,z)).
T(x,K(L(y \ 1,z,u) \ 1,w)) = L(K(y,K(x,w)),z,u) * x.
T(x,K(y,z)) = T(x,K(z,y)).
T(x * T(y,z),K(y,z)) = K(y,z) * (x * y).
(K(x,y) * z) * K(y,x) = T(z,K(x,y)).
T(x * K(y,z),K(y,z)) = K(y,z) * x.
T(K(x,y) * z,K(y,x)) = z * K(x,y).
T(T(x,K(y,z)),K(y,z)) = x.
K(x,y) * (z * K(y,x)) = T(z,K(x,y)).
T(T(x,y),K(z,y)) = T(x,T(y,z)).
T(x * y,K(z,y)) = y * T(x,T(y,z)).
K(x,y) * T(z,K(y,x)) = z * K(x,y).
T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z).
T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w.
T(x,K(y,z)) * K(y,z) = K(y,z) * x.
T(T(x,K(y,z)),K(y,z)) != u | u = x.
T(T(x,K(y,z)),z) = T(x,T(z,y)).
T(x,K(y,z)) * z = z * T(x,T(z,y)).
K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u.
T(K(x,y),z) * z = z * K(x,y).
T(x,K(y,z)) != u | T(x,K(z,y)) = u.
K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)).
R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))).
K(x,K(y,x \ z)) = K(x,K(y,z)).
K(x,K(y,x \ z)) = K(x,K(z,y)).
T(x,K(y,x \ z)) = K(z,K(x,y)) * x.
K(x,K(y \ z,y)) = K(x,K(z / y,z)).
K(x,K(x \ y,z)) = K(x,K(y,z)).
T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y).
K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))).
T(T(K(x,y),z),z) = K(x,y).
(x * T(x \ y,z)) / y = T(K(x \ y,z),y).
T(K(x \ y,z),x) = K(y / x,z).
T(K(x \ y,z),y) = K(y / x,z).
T(K(x,T(y,z)),z) = K(x,y).
K(x,y \ z) * z = z * K(x,z / y).
K(x \ y,z) * y = y * K(y / x,z).
K(T(x,y),z) * y = y * K(x,z).
K(x,T(y,z)) * z = z * K(x,y).
K(x,T(T(y,z),z)) = K(x,y).
L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w).
R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w).
L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z.
T(K(x,L(T(y,z),u,w)),z) = K(x,L(y,u,w)).
K(T(x,y),T(z,y)) = K(x,z).
K(x \ y,T(z,y)) = K(y / x,z).
K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z).
(x * K(y,z)) / x = K(y,T(z,x)).
R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w).
T(T(x,y),T(z,y)) = K(x,z) * T(x,y).
K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w).
K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w).
K(L(x,y,x),z) = K(x,T(T(z,u),u * x)).
K(x,T(y \ z,z)) = K(x,z / y).
K((x * y) / x,z) = K(y,T(z,x)).
K(x \ y,T(z,x)) = K(y / x,z).
K(x,T(y \ z,y)) = K(x,z / y).
K(x,(y * z) / y) = K(x,T(z,y)).
K(T(x,y),z \ y) = K(x,y / z).
K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u).
K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)).
K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)).
K(T(x,y),y \ z) = K(x,z / y).
K(x,(y * z) / y) = K(T(x,y),z).
K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)).
K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)).
K(T(x,y \ z),y) = K(x,z / (z / y)).
K(x \ T(y,x),T(z,x)) = K(y / T(x,y),z).
K(x * K(y,x),z) = K(x,T(z,y)).
x * K(T(x,y),T(z,y)) = T(x,z).
T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x).
R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)).
L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)).
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.
K(x,K(y,x * z)) = K(x,K(y,z)).
T(K(x \ y,z),x) = K((x / y) \ 1,z).
K((x * y) \ z,T(x,y)) = K(z / (x * y),x).
K(x / y,x / z) = K(y \ x,z \ x).
K(x \ (y * z),T(y,z)) = K((y * z) / x,y).
x / K(x / y,z) = K(y \ x,z) \ x.
K(K(x,y) * z,u) * z = z * K(z * K(x,y),u).
K(x,T(y \ 1,z)) = K(x,y \ K(y,z)).
K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1).
K(x,T((y \ z) \ 1,y)) = K(x,y / z).
(x * K(y,z)) / (y \ x) = T(y,T(z,x)).
K(x,T(y,z)) * z != z * u | K(x,y) = u.
R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u).
T(x,T(y,z)) * z = x * (z * K(x,y)).
T(K(x,y),z) * (z / y) = (z / y) * K(x,y).
(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 * K(x,u))) = K(x,T(y,z)).
K(x,T(y * K(x,z),u)) = K(x,T(y,u)).
K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y).
L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z).
K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y).
(x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x).
K(x,T(y \ (z * x),z)) = K(x,(z * x) / y).
K(x,T(y \ (x * z),z)) = K(x,(x * z) / y).
K(x,y / (y / z)) = K(x,T(z,y)).
K((x * y) / x,T(z \ 1,u)) = K(y,T(T(z,u) \ 1,x)).
K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))).
K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)).
K(x \ T(x * y,y),z) = K(y,T(z,x * y)).
K((x \ y) \ 1,T(z,y)) = K(x / y,z).
K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y).
K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))).
K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)).
K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)).
K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))).
((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z).
K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)).
K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y).
T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1).
K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)).
K(x,T(y,z * K(u,x))) = K(x,T(y,z)).
K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x.
(x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z.
K(x,y / (y / z)) != u | K(T(x,y),z) = u.
K(x * y,K(y,z)) != u | K(z,K(y,x)) = u.
K(K(x,y),z) != u | K(z,K(x,y)) = u.
K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w.
K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w.
K(x,K(y,z * y)) != u | K(x,K(z,y)) = u.
K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)).
K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u.
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,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u.
K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)).
K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)).
K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)).
K(K(x,y) * z,K(x,u)) = K(z,K(x,u)).
T(x,K(y,y * z)) = T(x,K(z,y)).
T(x,K(y,y * z)) = T(x,K(y,z)).
T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)).
T(x,K(y,y * T(x,z))) = x.
T(x,K(y,y \ z)) = T(x,K(y,z)).
T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)).
T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)).
K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)).
K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u.
K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))).
K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))).
K(x,K(y,K(x,z) * u)) = K(x,K(y,u)).
K(x,T(y,z)) * K(y,x) = K(y,K(x,z)).
K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))).
K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))).
R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)).
T(x,T(y,z / x)) = T(x,T(y,z)).
T(x \ y,T(z,y)) = T(x \ y,T(z,x)).
T(x * y,K(z,y)) = T(x,K(z,y)) * y.
T(x,K(y,x \ z)) = T(x,K(y,z)).
T(x,K(y,x * z)) = T(x,K(y,z)).
T(x,K(y,x * z)) = T(x,K(z,y)).
T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y).
T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)).
K(x,K(y / z,y)) = K(x,K(z,z \ y)).
K(x \ (y \ z),y) * z = z * K(z / (y * x),y).
K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)).
T(T(x,y),T(z,y)) = K(x,y) * T(x,z).
K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)).
T(K(x \ y,z),x) != u | K(y / x,z) = u.
K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x).
K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)).
K(x,T(1 / (y \ z),y)) = K(x,y / z).
(x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))).
R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)).
(x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w.
K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))).
K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)).
K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)).
K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z).
K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)).
K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)).
K(K(x,y) * z,K(y,u)) = K(z,K(y,u)).
R(x,K(y,z) * u,K(u,K(y,w))) = x.
K(x * K(y,z),K(y,u)) = K(x,K(y,u)).
R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u).
K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))).
K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)).
K(x,K(y,z * K(u,x))) = K(x,K(y,z)).
K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u.
K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)).
x \ T(y,K(z,x)) = T(x \ y,K(z,x)).
K(x,K(y / z,y)) = K(x,K(z,y)).
K(x,K(y \ z,z)) = K(x,K(y,z)).
K(x,K(y,z \ y)) = K(x,K(z,y)).
K(x,K(y \ z,z)) = K(z,K(y,x)).
K(x,K(y,z \ y)) = K(x,K(y,z)).
K(x,K(y,z \ 1)) = K(x,K(z,y)).
K(x,K(y,z \ x)) = K(x,K(z,y)).
T(x,K(y,z \ x)) = x * K(x,K(z,y)).
K(x,K(y,z \ 1)) = K(x,K(y,z)).
K(x,K(y \ 1,z)) = K(x,K(y,z)).
K(x \ 1,K(y,z)) = K(y,K(x,z)).
K(x,K(y,z \ 1)) = K(z,K(x,y)).
K(x,K(y,z / (u * z))) = K(x,K(u,y)).
K(x,K(y \ z,u)) = K(x,K(u,z \ y)).
K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u.
K(x,K(x / y,z)) = K(x,K(z,y)).
K(x,K(y \ 1,z)) = K(z,K(x,y)).
K(x \ 1,K(y,z)) = K(y,K(z,x)).
T(x,K(y,z \ 1)) = x * K(x,K(y,z)).
K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1).
K(x,K(y \ 1,z)) = K(y,K(x,z)).
(x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1.
K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)).
K(x \ 1,K(y,z)) = K(x,K(y,z)).
K(x,K(x / y,z)) != u | K(x,K(y,z)) = u.
K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)).
L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))).
T(x,T(T(y,z),z)) = T(x,y).
(T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u).
T(x,T(y \ z,y)) = T(x,z / y).
T(x,(y * z) / y) = T(x,T(z,y)).
T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)).
T(x,y * K(z,y)) = T(x,T(y,z)).
K(x,T(y,z)) * (z * x) = z * T(x,y).
T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)).
T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)).
T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y).
T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)).
K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))).
K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)).
T(x \ K(x,y),K(z,x)) = x \ K(x,y).
T(x,K(y,z \ x)) = T(x,K(y,z)).
T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x.
K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w.
K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)).
K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w.
T(x,K(y,z \ 1)) = T(x,K(y,z)).
T(x,K(y,z \ 1)) = T(x,K(z,y)).
T(x,K(y \ 1,z)) = T(x,K(z,y)).
T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)).
K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1).
T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)).
T(x,T(y,z)) * T(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 \ K(x,y),T(x,z)) = T(x \ K(x,y),x).
T(x,T(y,z \ 1)) = T(x,T(y,z)).
T(x,T(y,z \ 1)) = x * K(x,T(y,z)).
(x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)).
(x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u.
(x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)).
T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x).
K(x,T(y,z \ 1)) = K(x,T(y,z)).
K(x * y,T(z,y)) = K(x * y,T(z,x)).
K(x,T(y,z \ x)) = K(x,T(y,z)).
K(x,T(y,z \ y)) = K(x,T(y,z)).
K(x,T(y,z \ u)) = K(x,T(y,u \ z)).
(x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1).
K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y).
K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u.
K(T(x,y \ z),y) != u | K(T(x,z),y) = u.
K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)).
K(T(x \ y,x),z) != u | K(y / x,z) = u.
K(x \ y,T(z,x)) != u | K(y / x,z) = u.
K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w.
K(x / y,K(x,z)) != u | K(x,K(y,z)) = u.
K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u.
K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u.
K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w.
K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u.
K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y).
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(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)).
T(x,(y * z) \ z) = T(x,z \ (y \ z)).
T(x,T(y \ 1,z)) = T(x,z \ (y \ z)).
T(x,T(y,z) \ 1) = T(x,z \ (y \ z)).
T(x,T((y / z) \ 1,y)) = T(x,y \ z).
K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w.
K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y).
K(x,K(y,R(T(x,z),u,w))) = 1.
K(x,K(y,R(x,z,u))) = 1.
T(x,K(y,R(x,z,u))) = x.
T(T(x,y),K(z,R(x,u,w))) = T(x,y).
K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z.
K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u).
T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y).
T(K(x \ y,z),y) != u | K(y / x,z) = u.
K(x \ y,T(z,y)) != u | K(y / x,z) = u.
K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)).
K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)).
K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)).
K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w).
K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u).
K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))).
K(T(x,y) / y,z) = K(x / T(y,x),z).
K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u).
(K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x).
K(x \ (y * z),T(y,z)) = K((x / z) \ y,y).
K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u.
T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1).
T(K(x,y),z) * (z / y) = z / T(y,x).
K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x).
K(x \ (y \ z),y) * z = z * K((y \ z) / x,y).
K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x).
K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)).
K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u).
K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w.
T(T(x,y),K(z,x * y)) = T(x,T(y,z)).
T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)).
K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)).
R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u).
K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)).
T(K(x,y),z \ 1) = T(K(x,y),z).
T(K(x,y),z \ 1) != u | T(K(x,y),z) = u.
T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)).
T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y).
K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y).
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,(y \ z) \ u)).
K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)).
(K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x).
x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y).
K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)).
K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y).
T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)).
K(x * y,T(x,y \ z)) = K(x * y,T(x,z)).
K(x * y,T(x,y \ z)) = K(y * x,T(x,z)).
K(x * y,T(y,x \ z)) = K(x * y,T(y,z)).
K(x * y,T(y,x * z)) = K(x * y,T(y,z)).
K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u).
K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)).
K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w.
K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5).
L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)).
K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))).
K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))).
K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)).
K(x,R(y,K(z,x),u)) = K(x,y).
K(x,y * K(z,x)) != u | K(x,y) = u.
K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)).
K(x,y * x) != z | K(x,x * y) = z.
K(x,y \ T(z,x)) != u | K(x,y \ z) = u.
K(L(x,y,z),y * x) != u | K(x,x * y) = u.
K(R(x,K(y,z),u),z) = K(x * K(y,z),z).
K(R(x,K(y,z),u),z) = K(x,z).
K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z).
K(L(x,K(y,z),u),y) = K(K(y,z) * x,y).
K(L(x,K(y,z),u),y) = K(x,y).
K(L(x,K(y,z),u),y) != w | K(x,y) = w.
K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y).
K((x * y) \ (z * y),y) != u | K(x \ z,y) = u.
K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u.
K(x,T(y,z)) != u | T(K(x,y),z) = u.
K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w.
K(x,y / z) != u | T(K(x,z \ y),z) = u.
K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w.
K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u.
K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)).
T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w.
K(x \ (y * z),z) != u | K((x / z) \ y,z) = u.
K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u.
K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w.
L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u.
L(K(x,y),z,T(x,u)) = K(x,y).
K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)).
K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)).
K(x,y / (x \ z)) = K(x,(z / y) \ x).
K(x,(x * y) / z) = K(x,y / (x \ z)).
K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w.
K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u.
K(x,(y * x) / z) = K(x,(z / y) \ x).
K(x,((x * y) / z) \ x) = K(x,z / y).
R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)).
K(x,(y * x) / z) = K(x,(x * y) / z).
K(x,(x \ y) / (x \ z)) = K(x,y / z).
K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u.
T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x).
K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x).
x * K(x,(x * y) / z) = T(x,(y * x) / z).
K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u.
K(x,(x \ y) / (z / x)) = K(x,y / z).
K(x,(x \ y) / z) = K(x,y / (z * x)).
K(x,y / ((x \ z) * x)) = K(x,y / z).
K(x,y / (z * x)) = K(x,y / (x * z)).
K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)).
K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)).
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,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u.
K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)).
T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)).
T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z).
R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)).
K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z).
K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u.
T(x / T(y,T(z,x)),y) = T(y,z) \ x.
T(x / T(y,z),y) = T(y,T(z,x)) \ x.
K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)).
(R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u).
(((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))).
x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)).
K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)).
(x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u.
(x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z).
L(K(x,y),z,T(y,u)) = K(x,y).
K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x).
K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)).
T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u).
1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)).
K(x \ K(y,z),y) = K(x \ 1,y).
K(x \ L(K(y,z),u,w),y) = K(x \ 1,y).
K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x).
K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z).
K(x,(y * K(x,z)) \ u) = K(x,y \ u).
T(x,(y * K(x,z)) \ u) = x * K(x,y \ u).
K(x,(y * K(z,x)) \ u) = K(x,y \ u).
K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w).
K(x,(K(x,y) * z) \ u) = K(x,z \ u).
K(x,(K(y,x) * z) \ u) = K(x,z \ u).
K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5).
K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w).
K(x,y \ T(x,z)) = K(x,y \ x).
K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)).
K(x,T(y,z) \ x) = K(x,T(y \ x,z)).
K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)).
K(x,y \ (K(x,z) * u)) = K(x,y \ u).
K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x).
K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)).
K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)).
K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w).
K(x,y \ (z * K(x,u))) = K(x,y \ z).
K(x,y \ (z * K(u,x))) = K(x,y \ z).
K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))).
K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)).
K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z).
T(x,(y * K(x,z)) \ u) = T(x,y \ u).
T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u).
T(x,(K(x,y) * z) \ u) = T(x,z \ u).
T(x,(K(y,x) * z) \ u) = T(x,z \ u).
T(x,y \ K(x,z)) = T(x,y \ 1).
(x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z).
K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x).
K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w).
K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)).
T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1).
T(x,(x * y) \ 1) = T(x,x \ (y \ 1)).
T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)).
T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)).
T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1).
L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)).
T(x,y \ (K(z,x) * u)) = T(x,y \ u).
T(x,y \ T(x,z)) = T(x,y \ x).
T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)).
T(x,T(x,y) / z) = T(x,z \ x).
T(x,T(y,z) \ x) = T(x,T(y \ x,z)).
T(x,(T(x,y) / z) \ x) = T(x,z).
T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)).
T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x).
K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w).
L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z).
(x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)).
R(x,T(K(y,z),u),u) = R(x,K(y,z),u).
T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u).
T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x.
x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)).
T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u).
R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w).
T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)).
T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1).
T(K(x,y),K(z,y) \ u) = T(K(x,y),u).
T(K(x,y),T(z,K(y,u))) = T(K(x,y),z).
T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z).
K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)).
K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)).
K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)).
K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)).
K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)).
K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)).
L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))).
L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))).
L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))).
(x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))).
K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))).
K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))).
K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))).
K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))).
K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)).
K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5.
K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))).
K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5.
T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)).
T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)).
T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)).
T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z).
(T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x).
T(x,T(y * K(x,z),u)) = T(x,T(y,u)).
T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)).
T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)).
K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w).
K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)).
T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1).
T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)).
T(x,T(y \ 1,z)) = T(x,y \ K(y,z)).
T(x,y \ K(y,z)) = T(x,z \ (y \ z)).
T(x,y / (y * z)) = T(x,y \ (z \ y)).
K((x \ y) / z,x) = K(y / (x * z),x).
K(L(x,y,x),z) = K(T(u * x,x) / u,z).
K(T(x * y,y) / x,z) = K(y,z).
K(T(x,y \ x) / y,z) = K(y \ x,z).
K(x \ T(y,x \ y),x) = K(x \ y,x).
K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z).
T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)).
K((x * K(y,z)) \ u,y) = K(x \ u,y).
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 * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)).
K(x \ (K(y,z) * u),y) = K(x \ u,y).
K(x \ T(y,z),y) = K(x \ y,y).
K(x \ (K(y,z) * u),z) = K(x \ u,z).
K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y).
K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y).
K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)).
K(x \ (y * K(z,u)),z) = K(x \ y,z).
K(T(x,y) \ z,z) = K(x \ z,T(z,y)).
K(x \ (y * T(z,u)),u) = K(x \ (y * z),u).
K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u).
K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z).
K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z).
K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)).
K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)).
T(x,y / (x \ z)) = T(x,(z / y) \ x).
T(x,(y * x) / z) = T(x,(z / y) \ x).
R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)).
K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u.
K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)).
K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)).
K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u.
K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x).
K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)).
K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u).
K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z).
(x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y).
K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u).
K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x).
K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)).
K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))).
K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)).
K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w).
K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)).
L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)).
T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w).
T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w).
(x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)).
T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u).
K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)).
K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))).
K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))).
K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))).
K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1).
K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y).
T(K(x,y),z / K(u,y)) = T(K(x,y),z).
T(K(x,y),z * K(y,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)).
T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)).
K(x,K(y,z)) * K(y,z \ x) = K(y,x / z).
K(x,K(y,z)) * K(x,y \ z) = K(x,z / y).
(K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)).
T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),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),T(z,u)) = K(x \ (z * y),T(z,u)).
K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y).
K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w).
K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)).
K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u).
K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)).
K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)).
K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)).
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,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))).
K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)).
K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)).
K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z).
K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z).
K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)).
K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)).
L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u).
K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z).
K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)).
K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)).
K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)).
L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)).
L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))).
K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)).
K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y).
T(x \ R(x,y,x),y) = x \ R(x,y,x).
(x * (y \ R(y,x,y))) / x = y \ R(y,x,y).
(T(x * y,x) / x) / y = x \ R(x,y,x).
K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u.
K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)).
K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))).
K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)).
(x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x).
K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5.
K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)).
K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)).
T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w.
K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)).
L(K(x,y),z,L(x,u,w)) = K(x,y).
(L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5.
K(L(x,y,L(x,z,u)),w) = K(x,w).
K(x,x \ (x * y)) = K(x,K(z \ x,z) * y).
K(x,K(y \ x,y) * z) = K(x,z).
K(x,y * K(z \ x,z)) = K(x,y).
K(x * y,K(y,x) * z) = K(x * y,z).
K(x,(x / y) * z) = K(x,(y \ x) * z).
K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z).
T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z.
K(x \ (x * y),x) = K(K(z \ x,z) * y,x).
K(K(x \ y,x) * z,y) = K(z,y).
(K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y).
K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y).
K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)).
K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)).
K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1.
R(K(x,y),z,R(x,u,w)) = K(x,y).
K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u).
(x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)).
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))).
K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y).
R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1.
R(K(x,y),z,L(x,u,w)) = K(x,y).
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).
L(K(x,y),z,L(y,u,w)) = K(x,y).
K(L(x,y,L(z,u,w)),z) = K(x,z).
K(x,L(y,z,L(y,u,w))) = K(x,y).
K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y).
K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))).
K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))).
K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y).
K(x * (R(x,y,x) \ z),x) = K(z,x).
K(R(x,y,x) * z,x) = K(x * z,x).
K(x * R(y,z,y),y) = K(y * x,y).
T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)).
T(x,y * R(x,z,x)) = T(x,x * y).
T(x,y * R(x,z,x)) = x * K(x,x * y).
K(x,y * R(x,z,x)) = K(x,x * y).
K(x,R(x,y,x) * z) = K(x,x * z).
K(R(x,y,x),R(x,z,x) * u) = K(x,x * u).
R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z).
R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)).
K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)).
R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)).
R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)).
R(K(x,K(y,z)),y,u) = K(x,K(y,z)).
x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)).
(x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)).
K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))).
K(x,T(y,T(y * x,z))) = K(x,y).
K(x \ y,T(x,T(y,z))) = K(x \ y,x).
K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)).
R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)).
K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w).
R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w).
R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w).
L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)).
K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)).
L(K(x,y),y * z,u) = K(x,L(y,z,u)).
K(x,L(y,y \ z,u)) = L(K(x,y),z,u).
K(L(x,y,z),y) = K(x,L(y,x,z)).
K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z).
(x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)).
L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)).
K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)).
L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y).
L(K(x,y),x * z,u) = K(L(x,z,u),y).
K(L(x,x \ y,z),u) = L(K(x,u),y,z).
K(L(x,y,z),x * y) = K(x,x * y).
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)).
K(L(x,x \ 1,y),z) = K(x,z).
K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z).
K(L(x,T(x,y) \ 1,z),u) = K(x,u).
L(K(x,y),K(z,x),u) = K(x,y).
a(x,K(y,z),K(z,u)) = 1.
L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u).
L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),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)).
a(x,K(y,z),K(u,y)) = 1.
L(K(x,y),K(y,z),u) = K(x,y).
(x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)).
(x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z).
L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)).
(x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))).
(x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5).
(x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5).
(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(u,y) = x * (K(u,y) * K(y,z)).
x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z.
(x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)).
R(x,K(y,z),K(u,y)) = x.
R(x,T(K(y,z),u),K(z,w)) = x.
(x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)).
R(x,L(K(y,z),u,w),K(z,v5)) = x.
(x * y) \ (y * T(x,z)) = K(y,x) * K(x,z).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))).
(x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y).
R(x,T(K(y,z),u),T(K(z,w),v5)) = x.
(x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)).
(x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w).
T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)).
K(x,y) * K(y,y \ x) = a(y,x / y,y).
(L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w).
(x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u.
x \ R(x,x \ y,x) = a(x,y / x,x).
a(x,y / x,x) \ K(y,x) = K(x \ y,x).
a(x,y / x,x) * K(x,y) = K(x,x \ y).
a(x,(x * y) / x,x) = x \ R(x,y,x).
x \ R(x,T(y,x),x) = a(x,y,x).
x \ R(x,y,x) = a(x,y,x).
K(x,y) * K(x * y,x) = a(x,y,x).
K(x * y,x) * K(x,y) = a(x,y,x).
T(x,y) \ R(T(x,y),z,x) = a(x,z,x).
K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x).
K(x,y) * K(y,y \ x) = a(y,y \ x,y).
x * a(x,y,x) = R(x,y,x).
a(x,y,x) * x = R(x,y,x).
a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x).
a(x,y,x) \ K(x * y,x) = K(y,x).
T(x * y,x) / x = y * a(x,y,x).
T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x).
x \ R(x,y,x) != z | a(x,y,x) = z.
K(x,y) * a(y,x,y) = K(y * x,y).
K(x,x * y) * a(x,y,x) = K(x,y).
a(x,y,x) * (y * x) = T(x * y,x).
(x * y) * a(y,x,y) = T(y * x,y).
a(x,y,x) * K(y,x) = K(x * y,x).
a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x).
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.
T(x * a(y,x,y),y) = y \ T(y * 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 * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y).
(x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w.
K(x,y) * K(x * y,x) != z | a(x,y,x) = z.
K(x,y) * a(y,x,y) = K(x * y,y).
K(x,y) * a(x,x \ y,x) = K(x,x \ y).
L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)).
R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x).
a(x,y,x) * K(y,x) = K(y * x,x).
(R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)).
a(x,y,x) * T(x,z) = R(T(x,z),y,x).
a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y).
a(x,x \ (y \ x),x) = a(x,y \ 1,x).
T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x).
((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)).
(x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y).
((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)).
T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)).
(x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z).
(x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x.
x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)).
(x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u).
(x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w.
x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w.
x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)).
(x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y).
x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x.
(x / R(y,z,y)) * y = x * (y \ L(y,z,y)).
R(x,y,x) \ x = x \ L(x,y,x).
x / R(x,y,x) = x \ L(x,y,x).
x \ (x \ L(x,y,x)) = R(x,y,x) \ 1.
(x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)).
x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1).
K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z).
K((K(x,y) * z) / u,x) = K(z / u,x).
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 * T(x,z)) / u) = K(x,(y * x) / u).
K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)).
K(x,T(T(y,z) \ 1,u)) = K(x,T(T(y \ 1,z),u)).
K(x,T(T((y / z) \ 1,z),u)) = K(x,T((z \ y) \ 1,u)).
K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z).
K(x / (y * K(z,u)),z) = K(x / y,z).
K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u).
K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z).
K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y).
K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z).
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,y / (z * T(u,x))) = K(x,y / (z * u)).
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(z,x) * u) * w)) = K(x,y / (u * w)).
K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)).
K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)).
((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y).
T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)).
T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)).
1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z).
(K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x).
K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)).
(K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x).
T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z).
T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)).
T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u).
T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y).
K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)).
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).
T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)).
T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)).
K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)).
K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)).
K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u).
K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w.
T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1).
T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z).
T(T(x,K(y,z)),z \ y) = T(x,y / z).
T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)).
(K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)).
K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y).
T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z).
T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z).
K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z).
K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z).
K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z).
K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)).
K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y).
T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)).
L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u).
K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z).
K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z).
1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)).
K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))).
K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)).
K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)).
(K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z).
T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y).
T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x).
K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)).
K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u).
K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)).
K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)).
R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))).
R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)).
R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))).
R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))).
R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))).
K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))).
K(x,K(y,R(z,y,u))) = K(x,K(y,z)).
K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))).
x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))).
K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))).
T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))).
L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)).
L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)).
L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y).
K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u).
K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w.
K(T(x,y),T(z,y)) != u | K(x,z) = u.
K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w.
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(x,T(y \ z,y)) != u | K(x,z / y) = u.
K(x,T(y \ z,z)) != u | K(x,z / y) = u.
K((x * y) / x,T(z,x)) != u | K(y,z) = u.
K(x / y,T(z,y)) != u | K(y \ x,z) = u.
K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5.
K(x \ (x * y),z) != u | K(y,z) = u.
K((x \ 1) \ 1,y) != z | K(x,y) = z.
K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w.
K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w.
R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5.
R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w.
(x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y).
(x / y) * a(y,z,y) = x / L(y,z,y).
L(x,y,x) \ x = a(x,y,x).
(x * y) / L(y,z,y) = x * a(y,z,y).
L(x,y,x) \ x = x \ R(x,y,x).
L(x,y,x) \ 1 = x \ a(x,y,x).
a(x,y,x) \ x = L(x,y,x).
(x \ L(x,y,x)) \ 1 = x \ R(x,y,x).
K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u).
(x / L(y,z,y)) * y = x * a(y,z,y).
(x * a(y,z,y)) \ (x * y) = L(y,z,y).
x * (L(x,y,x) \ z) = z * a(x,y,x).
(x * L(y,z,y)) * a(y,z,y) = x * y.
((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)).
T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x).
L(x,y,x) \ (x * z) = z * a(x,y,x).
K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z).
L(x,y,x) * (z * a(x,y,x)) = x * z.
x * (y / a(x,z,x)) = L(x,z,x) * y.
L(x,y,x) * (x \ z) = z / a(x,y,x).
(x / y) \ (x / a(y,z,y)) = L(y,z,y).
T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w.
K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z).
K(x,T((y / z) \ 1,u)) * z = z * K(x,T((z \ y) \ 1,u)).
K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y.
K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x).
T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)).
T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)).
K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)).
K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x.
((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)).
K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5).
L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x).
L(x,T(y,K(x,z)),x) = L(x,y,x).
L(x,T(y,T(x,z)),x) = L(x,y,x).
L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x).
L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)).
L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)).
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))).
T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)).
K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)).
K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)).
K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u).
K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w).
K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6).
x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x).
x \ R(x,y * K(x,z),x) = x \ R(x,y,x).
a(x,y * K(x,z),x) = x \ R(x,y,x).
a(x,y * K(x,z),x) != u | a(x,y,x) = u.
T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z).
L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y).
L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z).
K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)).
K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w.
K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)).
K(x,a(K(x,y),z,u)) = 1.
T(x,a(K(x,y),z,u)) = x.
T(a(K(x,y),z,u),x) = a(K(x,y),z,u).
T(T(x,y),a(K(x,z),u,w)) = T(x,y).
a(K(x,y),z,u) * x = x * a(K(x,y),z,u).
K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y).
K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w).
x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w.
K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)).
K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u).
K(x,L(x,y,y \ 1) \ z) = K(x,x \ z).
K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z).
(x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)).
K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y).
(x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)).
x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w.
(x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(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)).
K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)).
K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)).
K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x).
K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = 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,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x).
K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)).
x * K(y,T((x \ z) \ 1,u)) = K(y,T(x / z,u)) * x.
K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)).
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,(x * z) * u)) = K(x,T(y,z * u)).
K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y).
K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)).
K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)).
K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y).
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,R(x,z,u) \ w)) = K(x,K(y,w)).
K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)).
K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)).
K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)).
K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)).
K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)).
K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)).
K(x,T(y,x * z)) != u | K(x,T(y,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)).
K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)).
T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z).
K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)).
K(x,T(y,z * (u * x))) = K(x,T(y,z * u)).
K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)).
K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)).
K(x,T(y,z * (u / x))) = K(x,T(y,z * u)).
K(x,T(y,z * (x * u))) = K(x,T(y,z * u)).
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.
(x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
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(R(x,y,z),y) = K(x,R(y,x,z)).
R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y).
K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u.
x * K(R(x,y,z),y) = T(x,R(y,x,z)).
K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w.
T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)).
T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w.
(x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)).
R(K(x,y),T(T(y,z),u),w) = K(x,y).
T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u.
K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)).
K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))).
(T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))).
K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x).
L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y).
L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y).
T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x).
T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x).
T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x).
(x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y).
x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)).
(x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x.
L(K(x,K(y,z)),u,w) * y = T(y,L(K(x,z),u,w)).
K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)).
T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))).
(x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x).
K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)).
K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))).
K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)).
K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)).
K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)).
K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))).
K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)).
K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)).
K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)).
K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)).
T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)).
K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)).
K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)).
K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)).
K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)).
K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)).
K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)).
K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)).
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(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)).
K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)).
K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)).
K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)).
K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w.
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))) = x * 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).
K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)).
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)).
R(K(x,y),z * y,u) = K(x,R(y,z,u)).
R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)).
K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5.
R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))).
K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w).
R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y).
K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w).
R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w).
R(K(x,y),z / x,u) = R(K(x,y),x \ z,u).
R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z.
x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x.
T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)).
x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z).
T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)).
K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)).
(x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u.
(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z).
K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x).
K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x).
K(x,y \ (z * (x / z))) = K(x,y \ x).
K(x,y \ ((z \ x) * z)) = K(x,y \ x).
K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u.
T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)).
T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y).
K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)).
K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)).
K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)).
K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z).
K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z).
K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y).
1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u).
R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)).
R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z).
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).
R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y).
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.
((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)).
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)).
T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)).
T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)).
T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)).
T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)).
T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y).
T(x * K(y,z),z * y) = T(x,z * y) * K(y,z).
(x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z).
(x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z).
T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x.
T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x.
T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)).
T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))).
T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))).
T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))).
T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))).
K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)).
((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)).
L(K(x,y),z,x \ 1) = K(x,y).
((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x).
L(K(x \ 1,y),z,x) = K(x \ 1,y).
K(L(x,y,x) \ 1,z) = K(x \ 1,z).
(x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)).
K(R(x,y,x) \ 1,z) = K(x \ 1,z).
R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y).
(K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x).
R(K(x,y),z,x \ 1) = K(x,y).
K(x,R(y,z,x \ 1)) = K(x,y).
(K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)).
T(x,R(y,z,x \ 1)) = x * K(x,y).
T(x,R(y,z,x \ 1)) = T(x,y).
T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y).
L(K(x,y),z,y \ 1) = K(x,y).
K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x).
R(x,y,K(x \ 1,z)) = x.
R(T(x,y),z,K(x \ 1,u)) = T(x,y).
T(x,y * K(x \ 1,z)) = T(x,y).
K(x,y * K(x \ 1,z)) = x \ T(x,y).
T(x,K(x \ 1,y) * z) = T(x,z).
T(x,K(y,x \ 1) * z) = T(x,z).
T(x,T(y,x \ 1) \ z) = T(x,y \ z).
T(x \ 1,K(x,y) * z) = T(x \ 1,z).
T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z).
T(x,K(y,1 / x) * z) = T(x,z).
K(K(x,1 / y) * z,y) = y / T(y,z).
K(x,y * K(x \ 1,z)) = K(x,y).
K(x,T(y,x \ 1) \ z) = K(x,y \ z).
L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)).
K(K(x,1 / y) * z,y) = K(z,y).
K(K(x,y \ 1) * z,y) = K(z,y).
K(T(x,y \ 1) \ z,y) = K(x \ z,y).
K(x \ T(y,z \ 1),z) = K(x \ y,z).
L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u).
L(x,y,K(x \ 1,z)) = x.
L(x \ 1,y,K(x,z)) = x \ 1.
(K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z).
(x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)).
T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1).
T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w).
T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)).
(x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))).
T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u.
(T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))).
K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x).
L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)).
K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5.
T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u).
T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u).
T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u).
L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)).
x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)).
T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y).
K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y).
K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x).
K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))).
T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)).
T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)).
L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)).
T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u.
K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z).
((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y).
R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)).
K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u).
L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)).
L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z).
L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y).
L(x \ 1,T(x,y),z) = L(x \ 1,x,z).
T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y).
L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y).
K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)).
K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)).
T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x).
(x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)).
(x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)).
a(x,y * K(x,z),x) = a(x,y,T(x,z)).
a(x,y,T(x,z)) = a(x,y,x).
a(x,y,T(x,z)) != u | a(x,y,x) = u.
a(x,T(y,x),x) != z | a(x,y,x) = z.
K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w).
K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u).
K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u).
K(x,K(y,(z * u) \ ((z * x) * u))) = 1.
R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u).
K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))).
K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))).
K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))).
K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)).
K(x,K(y,z / (x * u))) = K(x,K(y,z / u)).
R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u).
T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u).
K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y).
x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x.
L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)).
L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y).
L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u).
K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u).
K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z).
K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u).
K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z).
K(x,L(y,x \ 1,x) \ z) = K(x,y \ z).
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u).
K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)).
K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)).
K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)).
K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)).
K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)).
K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)).
K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))).
K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)).
K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)).
K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))).
K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)).
K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)).
K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z).
K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z).
K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u).
K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u).
K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u).
K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w).
K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w).
K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u).
K(R(x,x \ a(x,y,x),z),u) = K(x,u).
(K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u).
K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z.
K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z.
K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z.
K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z.
K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z.
K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u.
K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z).
R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1.
T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u).
L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w.
L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z).
T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u).
T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x.
T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y).
L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)).
K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)).
K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)).
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(x * y,T(y,z * x)) = K(y * x,T(y,z)).
K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)).
K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)).
K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)).
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) = K(x,T(z \ x,y)).
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(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)).
T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u.
T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)).
T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u).
T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)).
K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)).
K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)).
K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)).
K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)).
K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)).
K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u.
R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y.
x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x.
x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y.
T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z).
T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1).
T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 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),x,y / (y / z))) = K(x,y / (z * x)).
K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)).
K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))).
K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w.
T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y).
T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x).
T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y).
(x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)).
x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y).
(x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)).
L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x).
L(a(x,y,x),K(x,x * y),z) = a(x,y,x).
(x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y).
(K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)).
(x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z).
(x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z.
(x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z.
T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)).
T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)).
T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)).
T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)).
T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)).
(x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z).
(x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))).
K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)).
K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)).
K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)).
K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)).
K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)).
K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)).
K(x,T(y,z / (x * u))) = K(x,T(y,z / u)).
K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)).
T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)).
T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)).
T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y).
T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y).
T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))).
(x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5).
T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)).
T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)).
T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)).
K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y).
L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x).
L(x,K(y,x) * z,x) = L(x,z,x).
L(x,T(x,y) \ z,x) = L(x,x \ z,x).
L(x,y / T(x,z),x) = L(x,x \ y,x).
T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z).
K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)).
K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)).
K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5.
K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)).
K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))).
K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))).
K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)).
x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)).
T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w.
K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)).
K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u).
K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)).
K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)).
a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z).
a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x).
K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)).
K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)).
T(x,a(y,z,K(x,u))) = x.
K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y).
a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u).
L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)).
L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)).
T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)).
((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)).
K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)).
(x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y).
(x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u).
(x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y).
L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y).
(x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)).
K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)).
x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x.
K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u).
(x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)).
(x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)).
x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)).
T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)).
(T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)).
((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)).
x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)).
(x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))).
L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)).
a(x,y,a(z,u,K(y,w))) = 1.
a(x,T(y,z),a(u,w,K(y,v5))) = 1.
K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))).
R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1.
(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).
K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))).
K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1).
K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))).
K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))).
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.
K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)).
K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x).
L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u).
L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x).
R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u).
R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u).
T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w).
K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u).
R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)).
K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y).
K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z).
x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x).
(x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y).
(K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x).
K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y).
K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))).
K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)).
T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)).
T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u.
T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z.
T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z.
K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z.
(a(x,y,x) \ z) * a(x,y,x) = z.
a(x,y,x) * z = z * a(x,y,x).
K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x).
T(x,a(y,z,y)) = x.
T(a(x,y,x),z) = a(x,y,x).
x / a(y,z,y) = a(y,z,y) \ x.
K(x,a(y,z,y)) = 1.
a(x,y,x) * z != u | z * a(x,y,x) = u.
x * K(y,a(z,u,z)) = x.
x * a(y,z,y) != u | a(y,z,y) * x = u.
a(x,y,x) * z != z * u | a(x,y,x) = u.
R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u).
(x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x).
a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u).
(x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)).
(a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w.
(x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y).
(x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w.
(a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w.
x * (y \ R(y,z,y)) = a(y,z,y) * x.
(x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x.
(x / y) \ (a(y,z,y) \ x) = L(y,z,y).
T(x,R(a(y,z,y),u,w)) = x.
(x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y).
(x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y).
(x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x.
(x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x.
(x / R(y,z,y)) * y = a(y,z,y) \ x.
(x / R(y,z,y)) * y = x / a(y,z,y).
(a(x,y,x) * (z * x)) / R(x,y,x) = z.
x * (y \ L(y,z,y)) = a(y,z,y) \ x.
a(x,y,x) \ 1 = x \ L(x,y,x).
(x * a(y,z,y)) / R(y,z,y) = x / y.
x * (y \ L(y,z,y)) = x / a(y,z,y).
a(x,y,x) * (z * x) = z * R(x,y,x).
(x * R(y,z,y)) / (x * y) = a(y,z,y).
a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x).
(x / y) * R(y,z,y) = x * a(y,z,y).
x / (y \ L(y,z,y)) = x * a(y,z,y).
(x * y) * a(y,z,y) = x * R(y,z,y).
(x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u.
a(x,y,x) * (z * x) != u | z * R(x,y,x) = u.
((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)).
R(x,y,x) * (x \ z) = z * a(x,y,x).
(x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y).
K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z).
x / (a(y,z,y) \ 1) = x * a(y,z,y).
(x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x).
(x * y) * a(x,z,x) = R(x,z,x) * y.
R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x).
R(x,a(y,z,y),a(y,z,y) \ 1) = x.
R(x,a(y,z,y),y \ L(y,z,y)) = x.
R(x,y \ R(y,z,y),y \ L(y,z,y)) = x.
a(x,y,x) * (x * z) = R(x,y,x) * z.
((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w.
T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y).
T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y).
x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)).
x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)).
T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x).
L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z).
L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z).
R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z).
(x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)).
K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y).
K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x).
K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x).
K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y).
K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z).
K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u.
K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u).
K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u.
(K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)).
K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u.
K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5).
K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u).
K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u).
(((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u).
K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w).
K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w).
K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w.
K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w.
L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w.
(x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y).
(x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))).
L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5).
(x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)).
K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))).
K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))).
K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))).
K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)).
K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)).
K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)).
K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)).
T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)).
R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)).
R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)).
K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5).
K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)).
K(x * y,R(y,z,u)) = K(y * x,R(y,z,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).
L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)).
K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))).
K(a(x,y,z),T(x,u)) = K(a(x,y,z),x).
K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))).
L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w.
T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)).
R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)).
R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y.
R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)).
R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(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) = L(K(y,x),z,x * y).
((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u.
((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y).
((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x).
L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)).
K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)).
K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6.
K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))).
L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w.
L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u.
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))).
K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)).
K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z).
K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z.
K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u.
K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w.
R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5).
K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)).
R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w).
R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * 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.
K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y).
(1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)).
R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)).
K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z).
R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u).
(K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z).
K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w).
a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u).
R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w).
L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u).
L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,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)).
T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z).
K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z).
K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z).
(K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w).
(K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w).
(K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w).
(K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w).
K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w.
L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w.
a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w.
L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w.
a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w.
x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)).
a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)).
a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5.
(T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x).
(x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y.
((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)).
x * T(K(y,z),u) != w | w * T(K(z,y),u) = x.
T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y).
T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)).
T(x / y,T(z \ x,y)) = T(x / y,x / z).
T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)).
K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5).
T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))).
T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)).
(x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1).
K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1).
K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1).
K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1).
K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1).
(x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y).
T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w).
L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)).
L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)).
T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)).
T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u).
T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)).
T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)).
K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x.
(R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,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)).
a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)).
K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y).
K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w.
(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)).
x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w.
K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)).
x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)).
R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1.
x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)).
T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)).
R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1.
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)).
K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w).
a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)).
T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)).
((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)).
T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)).
((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u).
(K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u).
(K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u).
L(x,K(y,z),K(z,u)) = x.
x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x).
(K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u).
T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))).
(K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z).
L(x,K(y,z),K(u,y)) = x.
L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y.
(K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u).
L(x,K(y,T(z,u)),K(z,w)) = x.
(K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u).
(K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u).
(K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w).
T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)).
K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u).
(K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u).
(K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u).
R(K(x,y),K(y,z),u) = K(x,y).
(K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y).
R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u).
(x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u).
(K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w).
x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y).
T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z).
R(K(x,y),K(z,y),u) = K(x,y).
(x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u).
(x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)).
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).
T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u).
R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z).
K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5.
((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)).
(x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w).
(x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)).
x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)).
x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1).
x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1).
a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1).
a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)).
R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1.
(K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u).
T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x).
(x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z).
(x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z).
R(K(x,y),R(y,z,u),w) = K(x,y).
R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5.
R(K(x,y),R(x,z,u),w) = K(x,y).
K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)).
((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)).
(x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1).
(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(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6.
((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)).
K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)).
K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)).
T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z).
K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u.
K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)).
L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)).
K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5).
K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))).
K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))).
K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))).
K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)).
K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)).
K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)).
K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))).
K(x,K(y,a(z,x,T(u,x)))) = 1.
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).
K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6.
K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ 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.
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,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)).
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).
T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x).
x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1).
(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 \ T(x * (y \ 1),y) = T(y,y \ x) \ 1.
(x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y).
(x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)).
(x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1).
x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1.
L(K(x,y),y \ 1,z) = K(x,y).
L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z).
(x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)).
(x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1).
T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y.
(x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)).
(((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y.
(((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x.
L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x.
(L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x).
K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z).
K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x).
K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x).
K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x).
K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,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).
L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x).
L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y).
K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)).
K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x).
L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y).
L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)).
L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)).
R(x,y \ 1,K(z,y)) = x.
T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1).
R(x,y \ 1,K(z,T(y,u))) = x.
R(x,(y * K(z,y)) \ 1,K(u,y)) = x.
R(x,y \ K(y,z),K(u,y)) = x.
(x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)).
R(x,y,K(z,y \ 1)) = x.
R(x,y \ z,K(u,z \ y)) = x.
x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x).
T(x,y) / (T(y,x) \ 1) = x / (y \ 1).
(x / (y \ 1)) \ T(x,y) = T(y,x) \ 1.
T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1.
(T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y.
(x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x.
K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y.
T(x,y) / (y \ 1) = x / (y \ K(y,x)).
(T(x,y) / (y \ 1)) \ x = y \ K(y,x).
(T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x).
(T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y.
(T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x).
x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1.
(T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))).
T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x).
(x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y).
(((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x).
T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1.
(((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u).
T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z).
((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y).
(x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y).
(x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y).
(R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)).
(x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1).
(x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)).
R(x,K(y \ 1,z),y) = x.
L(x \ 1,K(x,y),z) = x \ 1.
R(x,y,K(y \ 1,z)) = x.
(x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)).
L(K(x \ 1,y),x,z) = K(x \ 1,y).
a(x,y,K(y \ 1,z)) = 1.
a(x,y \ 1,K(y,z)) = 1.
L(K(x,y),x \ 1,z) = K(x,y).
K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1).
T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1).
T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1).
T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)).
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,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)).
L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)).
L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x).
K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)).
K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)).
K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)).
K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)).
K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)).
K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)).
L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y).
((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u).
T((x \ y) * (y \ x),z) = (x \ y) * (y \ x).
K((x \ y) * (y \ x),z) = 1.
T(x,(y \ z) * (z \ y)) = x.
K(x * ((y * x) \ y),z) = 1.
T(x,y * ((z * y) \ z)) = x.
T(x * ((y * x) \ y),z) = x * ((y * x) \ y).
x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x.
K(x,y * ((z * y) \ z)) = 1.
T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y).
T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z).
T(x,y) * ((x * y) \ y) = x * ((y * x) \ y).
(x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y).
((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u).
((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u).
K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)).
K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)).
R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x).
K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y).
x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y).
K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z).
L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x).
R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x).
R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x).
K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z).
T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z).
(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,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z).
K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)).
L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z).
L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z.
L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z.
(x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z.
K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z.
((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x).
L(x,y \ 1,K(y,z)) = x.
a(K(x,y),x \ 1,z) = 1.
R(K(x,y),y \ 1,z) = K(x,y).
T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x).
L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)).
K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x).
L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x).
K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)).
T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)).
T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)).
R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)).
T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5.
T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x).
T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x).
T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x).
(x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z).
((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x).
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)).
L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z).
L(x,y,T(x,z)) = L(x,y,x).
L(T(x,y),z,T(x,u)) = T(L(x,z,x),y).
L(T(x,y),z,T(x,u)) = L(T(x,y),z,x).
L(T(x,y),T(z,x),x) = L(T(x,y),z,x).
T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)).
a(T(x,y),z,T(x,y)) = a(x,z,x).
((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)).
(x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)).
(x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y).
T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1).
R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z).
R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z).
R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y).
R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z).
T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y).
T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y).
T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y).
T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)).
T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)).
1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)).
1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)).
K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)).
K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z).
K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u).
K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y).
K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w).
K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)).
K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))).
K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)).
K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)).
K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)).
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 * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z).
K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z).
K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y).
R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y).
R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y).
K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z).
T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)).
T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5.
K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)).
K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)).
K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)).
x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)).
T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)).
T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)).
T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)).
T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)).
K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)).
K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)).
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 * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)).
L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x.
(x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)).
(x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z).
K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z).
K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)).
K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)).
K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y).
K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y).
K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x).
K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x).
K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x).
(K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u).
L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)).
L(x,y * K(z \ 1,z),u) = L(x,y,u).
L(x,K(y \ 1,y) * z,u) = L(x,z,u).
L(x,y * (1 / z),u) = L(x,y * (z \ 1),u).
L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w).
L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w).
L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w).
L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w).
L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5).
T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x).
L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5).
L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y).
L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y).
L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x).
L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x).
L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x).
L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x).
R(x,x \ 1,y \ R(y,x \ 1,y)) = x.
R(x,x \ 1,a(y,x \ 1,y)) = x.
(x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y).
T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y).
T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u).
R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u).
(T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u).
(K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z).
K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)).
K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)).
K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)).
K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)).
K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)).
L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)).
L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)).
L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)).
K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)).
K(x,L(y * ((z * y) \ z),u,w)) = 1.
K(x,a(y,z,z \ 1) \ 1) = 1.
K(x,a(K(y,z),u,u \ 1)) = 1.
T(x,a(K(y,z),u,u \ 1)) = x.
T(x,a(K(y,z),u \ 1,u)) = x.
T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z).
T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z).
T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z).
K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u).
K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u).
T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1).
T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))).
T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)).
T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)).
T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)).
T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z).
T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z).
T(x,R(y,x \ 1,x) \ z) = T(x,y \ z).
T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)).
K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w).
K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w).
K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w).
a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w).
T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)).
T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)).
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(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)).
K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)).
K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)).
K(L(x,y * z,u),z) = K(x,L(z,x * y,u)).
K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)).
K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)).
K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)).
K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y).
(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 * (y * z)) / (z * y) = x * K(y,z).
(x / (y * z)) * K(y,z) = x / (z * y).
K(x,y / (z * x)) != u | K(x,y / (x * z)) = u.
K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))).
K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))).
K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))).
T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w).
T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5.
T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5).
K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w).
K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x).
K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w).
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,1 / y,z) = R(x,y \ 1,z).
R(x,(y \ 1) \ 1,z) = R(x,y,z).
1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1.
R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z.
(x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u.
1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1.
(((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x).
(R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)).
(R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)).
a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x).
a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x).
a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x).
a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x).
a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x).
R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1.
a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1.
(((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z).
T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y).
T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x.
(T(x,y) / (x / y)) \ x = x / ((x * y) / x).
(x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y).
(T(x * y,y) / x) \ (x * y) = x * K(y,x * y).
K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1).
K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)).
K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)).
K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u).
K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u).
K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u).
K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u).
K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)).
K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)).
L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)).
K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u).
(x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x).
K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w.
L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w).
K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u).
K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z).
K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y).
K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w.
K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u).
K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)).
K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)).
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,((z * u) \ y) \ 1).
K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)).
K(x,x \ (y * z)) = K(x,y * (x \ z)).
K(x,y \ ((x \ y) * z)) = K(x,x \ z).
(x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y).
T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)).
L(K(x,x \ y),y,x \ z) = K(x,x \ y).
L(K(x,x \ y),y,z) = K(x,x \ y).
a(x,y,K(z,z \ y)) = 1.
K(x,y \ (x \ z)) = K(x,x \ (y \ z)).
a(x,y,K(z \ y,z)) = 1.
L(K(x \ y,x),y,z) = K(x \ y,x).
K(x \ (y \ (x * z)),y) = K(y \ z,y).
K((x * y) \ z,y) = K(y \ (x \ z),y).
K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u).
K(x \ (y \ z),y) = K(y \ (x \ z),y).
(x * y) * K(z \ y,z) = x * ((z \ y) * z).
K((x * y) \ z,x) = K(x \ (y \ z),x).
K(x \ ((x \ y) \ z),x) = K(y \ z,x).
K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)).
K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)).
R(x,y,K(z \ y,z)) = x.
R(x,y / z,z) = R(x,z \ y,z).
R(x,y * z,K(z,y)) = x.
R(x,y,T(z,y)) = R(x,y,z).
(x * (y * z)) * K(z,y) = x * (z * y).
a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)).
R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)).
R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)).
K(x,L(y,x,z)) = K(x,y).
K(L(x,y,z),y) = K(x,y).
L(K(x,y),z,y * x) = K(x,y).
T(x,L(y,x,z)) = x * K(x,y).
L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)).
K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)).
K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z).
T(x,L(y,x,z)) = T(x,y).
T(x,y \ (x \ (y * z))) = T(x,x \ z).
L(x,y,z) * T(y,x) = y * L(x,y,z).
T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u).
L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)).
((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)).
L(x,T(y,x),z) = L(x,y,z).
L(x,y / x,z) = L(x,x \ y,z).
L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z.
K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w.
K(x \ (y * z),x) = K(y * (x \ z),x).
K(x * (y \ (x \ z)),y) = K(y \ z,y).
K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z).
K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z).
K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z).
(x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x).
K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)).
K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)).
K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)).
L(x,K(y,z),z * y) = L(x,z * y,K(y,z)).
L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u.
L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z).
a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)).
a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)).
a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)).
(L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)).
K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)).
K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)).
K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)).
K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)).
K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5).
K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)).
K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)).
L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u).
K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)).
L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u).
T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z).
(L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w).
K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u).
a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u).
((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)).
K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)).
K(L(x,y,z),y * x) = K(x,y * L(x,y,z)).
K(x,y * L(x,y,z)) = K(x,x * y).
L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)).
K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u).
L(K(L(x,y,z),x * y),y,z) = K(x,x * y).
L(K(x,x * y),y,z) = K(x,x * y).
K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)).
K(x,x * ((y * z) \ y)) = K(x,z \ x).
K(x,y \ (z * x)) = K(x,x * (y \ z)).
1 / L(K(x,x * y),y,z) = K(x * y,x).
K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)).
K(x,y \ (x * z)) = K(x,x * (y \ z)).
K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)).
L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)).
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).
K(x \ (y * (x * z)),y) = K(z * y,y).
K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y).
K((x / y) \ z,y) = K(y * (x \ z),y).
K((x \ y) \ z,x) = K(x * (y \ 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 \ (x \ z)),x) = K(y \ z,x).
L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)).
K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x).
T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)).
L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u).
T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)).
T(x,y \ (x * z)) = T(x,x * (y \ z)).
T(x,y \ (z * x)) = T(x,x * (y \ z)).
T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x).
a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u.
L(x,(y \ z) \ 1,x) = L(x,z \ y,x).
K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)).
K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)).
K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)).
K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)).
K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)).
K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)).
K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)).
K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)).
K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)).
K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)).
K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)).
K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)).
K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)).
K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)).
K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)).
K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)).
K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)).
K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)).
K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)).
K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)).
K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)).
K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)).
K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u).
K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)).
a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)).
a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)).
K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)).
(x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z).
x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z).
K(x,y \ T(z,z \ x)) = K(x,y \ z).
K(x,y \ ((z \ x) \ x)) = K(x,y \ z).
K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1).
((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).
((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x).
(R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x).
(x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x).
K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)).
K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)).
K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)).
T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)).
K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)).
K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)).
K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)).
K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)).
K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)).
K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)).
K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)).
K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)).
K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u.
R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)).
R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)).
K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)).
K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)).
K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u.
T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u.
K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u.
T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u.
K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)).
(K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x.
L(x \ y,x,K(y,K(z,u))) = x \ y.
a(K(x,K(y,z)),u,u \ x) = 1.
a(K(x * y,K(z,u)),x,y) = 1.
a(K(K(x,y),z),u,u \ z) = 1.
a(K(x,K(y,z * u)),z,u) = 1.
a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)).
T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)).
T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)).
K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)).
T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)).
T(x,K(y,z * (x \ 1))) = T(x,K(y,z)).
T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)).
T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)).
a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)).
a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)).
a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)).
(((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y).
((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y).
R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y).
R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z).
R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w).
(x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w).
(x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u).
L(K(x,y),R(x,z,u),w) = K(x,y).
K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)).
K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)).
(x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u).
((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u).
(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).
x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z).
L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u).
K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u).
K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u).
K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u).
K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)).
K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u).
L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)).
K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5).
(x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u).
(((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z).
(x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y).
x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z).
x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z).
x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z).
(x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))).
(x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x).
K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y).
T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)).
K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)).
K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)).
K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y).
K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y).
K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x).
T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x).
L(x,T(y \ 1,z) \ 1,x) = L(x,y,x).
L(x,T(y,z) \ 1,x) = L(x,y \ 1,x).
L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x).
L(x,(y / z) \ 1,x) = L(x,y \ z,x).
L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x).
L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)).
K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x).
K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y).
K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)).
K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)).
K((x / (x * y)) \ z,z) = K(z * y,T(z,x)).
K(x * (y \ z),T(x,y)) = K((y / z) \ x,x).
K((x \ y) * z,T(z,x)) = K((x / y) \ z,z).
K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z).
K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x).
T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x).
T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x).
T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x).
T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x).
a(x,(y / z) \ 1,x) = a(x,y \ z,x).
a(x,(y * z) \ z,x) = a(x,y \ 1,x).
K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5).
((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u).
(a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z).
a(x,y,K(z,z \ 1) * u) = a(x,y,u).
((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u).
a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))).
((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z).
(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,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)).
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)).
(((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z).
(a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z).
a(x,K(y,y \ 1) * z,u) = a(x,z,u).
a(x,(y \ 1) \ 1,z) = a(x,y,z).
a(x,y * K(z,z \ 1),u) = a(x,y,u).
(T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)).
K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))).
R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1).
R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u).
R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w).
x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w).
(R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u).
((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u).
((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u).
((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z).
(L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x).
(L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x).
(L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x).
(L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x.
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).
(T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)).
a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)).
a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5.
a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)).
((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)).
(K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)).
x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x.
x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x.
T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)).
((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)).
T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z).
K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u).
K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)).
K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)).
K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))).
K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w.
R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u).
R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u).
R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u).
((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u).
L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x).
R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6).
R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7).
(x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)).
(x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)).
((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)).
K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)).
K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))).
K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))).
K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x).
K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))).
x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)).
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)).
R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)).
K(x,R(y,x,z)) = K(x,y).
((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)).
K(R(x,y,z),y) = K(x,y).
K(x,y / (z * x)) = K(x,x \ (y / z)).
R(K(x \ y,x),y,z) = K(x \ y,x).
K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)).
K(R(x,y,z),y) = K(R(x,y,u),y).
T(x,R(y,x,z)) = x * K(R(x,y,u),y).
K(x / (y * z),y) = K(y \ (x / z),y).
K(x,y / (x * z)) = K(x,x \ (y / z)).
K(x,(x \ y) / z) = K(x,x \ (y / z)).
K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))).
T(x,R(y,x,z)) = T(x,y).
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) = K(x \ (y / z),x).
x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)).
K(x,x \ ((x * y) / z)) = K(x,y / z).
K(x \ (y / z),x) * z = z * K(z \ (x \ y),x).
R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)).
K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z).
K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)).
K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x).
K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x).
K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ 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.
T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))).
K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)).
K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)).
K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)).
K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)).
R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)).
(K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z.
(K(x,y) * z) * T(y * x,z) = (x * y) * z.
(x * y) * (K(y,x) * z) = (y * x) * z.
L(x,K(y,z),z * y) = x.
L(x,y * z,K(z,y)) = x.
K(x,T(T(y,z),z)) = K(x,L(y,K(u,w),w * u)).
L(x,y,z) = (y * z) \ (z * (T(y,z) * x)).
L(x,T(y,z) * z,K(z,y)) = x.
L(x,y,T(z,y)) = L(x,y,z).
L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y).
(x * (T(y,x) * z)) / L(z,y,x) = y * x.
K(x,L(y,K(z,u),u * z)) = K(x,y).
K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)).
K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)).
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)).
K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)).
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y).
K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)).
K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)).
K(x,x \ T(y,z)) = K(x,T(x \ y,z)).
K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)).
K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y).
T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y).
(x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)).
(K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)).
((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x).
((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x).
((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x).
a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)).
a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)).
a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)).
T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y).
(K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)).
(K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u.
R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u).
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) \ y,z,u) = (R(x,z,u) \ y) \ y.
(R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z).
(R(x / y,z,u) \ x) \ x = R(y \ x,z,u).
R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y.
K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w).
R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (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) = L(R(T(x,u),y,z),u,x).
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) = K(R(x,z,u) * y,R(x,z,u)).
K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)).
K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)).
K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)).
K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)).
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)).
K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)).
R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)).
(R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z).
(x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)).
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).
K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)).
K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)).
K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)).
K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)).
K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u).
K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x).
K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w).
K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)).
K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)).
K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)).
K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y).
a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u).
K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u).
(L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w).
((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x).
((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x).
((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)).
(K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)).
(K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)).
T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z).
x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)).
(K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1).
x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u).
K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u).
K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u).
K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u).
(L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u).
R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y).
R(K(x,y),L(y,z,u),w) = K(x,y).
K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x).
K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x).
K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x).
K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5.
(K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1).
(K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)).
L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)).
L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z).
L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z).
K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)).
K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)).
(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).
K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u.
(K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u).
((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)).
L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)).
L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x).
L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x.
L(x,K(y,z) * K(u,z),T(z,u)) = x.
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)).
a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)).
L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))).
T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1.
T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x).
T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x).
T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u).
K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)).
K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)).
K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)).
K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)).
K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))).
K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5.
K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)).
T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))).
K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))).
K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))).
K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x).
K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x).
K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w.
K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)).
T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)).
T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)).
T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)).
T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)).
L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)).
x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u).
R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z).
(x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))).
K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5.
K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w.
x * R(y,z,L(y,x,u)) = x * R(y,z,y).
R(x,y,L(x,z,u)) = R(x,y,x).
(x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)).
T(x * K(y * x,x),y) = R(x,y,L(x,z,u)).
K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)).
T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)).
K(x * L(y,z,u),y) = K(y * x,y).
K(x * L(y,z,u),y) = K(x,y) * a(y,x,y).
K(x \ L(y,z,u),y) = K(y * (x \ 1),y).
K(x * (L(x,y,z) \ u),x) = K(u,x).
K(L(x,y,z) \ u,x) = K(x \ u,x).
K(x / L(y,z,u),y) = K(y \ x,y).
K(x \ L(y,z,u),y) = K(x \ y,y).
K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y).
K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z).
(L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x.
a(x,y,L(x,z,u)) = a(x,y,x).
(x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)).
K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z).
(x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)).
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)),z) = K(z * (x \ (y * u)),z).
K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u).
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).
K(L(x,x \ y,z),u) = K(x,L(u,y,z)).
L(K(x,y),z,u) = K(x,L(y,z,u)).
K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)).
K(L(x,y,z),u) \ 1 = L(K(u,x),y,z).
K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z).
K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z).
K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)).
K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)).
a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u).
K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)).
K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y).
((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)).
L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w.
K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w.
K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u).
T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)).
K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)).
L(K(x,y),z,u) = K(L(x,z,u),y).
K(L(x,y,z),u) = K(x,L(u,y,z)).
(x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z).
K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z).
(x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)).
K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)).
a(x,y * z,K(u,z)) = a(x,y,K(u,z)).
x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)).
K(L(x,y,L(z,u,w)),z) != v5 | K(x,z) = v5.
K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z).
K(x,L(y,z * x,u)) = K(x,L(y,z,u)).
K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)).
K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z).
K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z).
K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)).
K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z).
K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z).
K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z).
K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z).
K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z).
(x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)).
(x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))).
L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))).
K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z).
L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)).
a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z).
(x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u.
(x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x).
(L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x).
(x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)).
(x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x).
T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)).
T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)).
R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)).
R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z).
R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z).
(x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)).
(R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u).
(R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u.
(R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w.
K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)).
K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)).
K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)).
L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))).
K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)).
L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))).
x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x).
x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x).
x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)).
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)).
a(x,y,K(z * u,u)) = a(x,y,K(z,u)).
a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)).
a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)).
a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)).
a(x,y,K(x * z,z)) = 1.
L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))).
L(K(x * y,y),z,x) = K(x * y,y).
x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y).
a(x,y,K(z,z * u)) = a(x,y,K(z,u)).
a(x,y,K(z,z \ u)) = a(x,y,K(z,u)).
a(x,y,K(z,u \ z)) = a(x,y,K(u,z)).
a(x,y,K(z \ u,u)) = a(x,y,K(u,z)).
a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)).
a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)).
x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y).
K(x * y,y) * (x * z) = x * (K(x * y,y) * z).
x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z).
a(x,y,x) * (y * z) = y * (a(x,y,x) * z).
x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z.
K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x).
K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x).
K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u).
K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z).
K(((x \ y) / z) \ y,z) = K(z * T(x,y),z).
K(x * ((y \ z) \ z),x) = K(x * T(y,z),x).
K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u).
T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)).
K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)).
L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)).
K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z).
T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)).
K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)).
(T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u).
(T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x).
(T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x).
(T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x).
(R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u).
R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x).
R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x).
(x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x).
R(a(x,y,x),x,z) = a(x,y,x).
((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)).
(R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)).
((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)).
((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)).
a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w.
(x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z).
(x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z).
(x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z).
T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x).
T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y).
T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y).
T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y).
T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y).
((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x).
((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z).
K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))).
(((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)).
(x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z.
(x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z.
(x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z.
(x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z.
T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x).
L(x,T(y,z) \ 1,y) = L(x,y \ 1,y).
L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y).
K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1).
K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1).
K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1).
K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x).
K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1).
L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x).
L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)).
K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)).
K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)).
K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z).
K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z).
K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z).
T(x,y) / ((1 / z) \ x) = K(x,y) / z.
T(x,y) / ((1 / y) \ x) = 1 / T(y,x).
T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)).
(((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)).
(L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)).
(L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)).
T(x,x \ (L(x \ 1,y,z) \ 1)) = x.
T(x,x \ (((y * x) \ y) \ 1)) = x.
(1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)).
T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z).
R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)).
R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)).
R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)).
T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)).
T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)).
T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)).
T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)).
T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)).
T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)).
x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)).
T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)).
T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)).
T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)).
K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u.
T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)).
x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)).
x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)).
K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)).
T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w.
K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)).
K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)).
K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u).
K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)).
K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)).
(K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u).
T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w.
K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x).
K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)).
K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)).
K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x).
K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w).
K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)).
K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)).
K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)).
K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)).
x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x.
T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))).
K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u).
K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u).
K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1.
K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1.
K(x * y,K(z,u) * K(u,R(z,x,y))) = 1.
T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))).
x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)).
T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)).
(x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x).
(x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x).
T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)).
K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))).
T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)).
T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)).
T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)).
K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u).
K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)).
K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)).
K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w.
K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w.
K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w.
K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w.
x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x.
K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u).
K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)).
K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)).
((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)).
((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))).
x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x.
x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x.
1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u).
1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u).
T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u).
K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))).
K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5).
K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5).
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.
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.
L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z).
L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w).
L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w).
L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w).
a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)).
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 \ (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).
T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z).
T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z).
T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z).
T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z).
T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z).
((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z).
T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1.
T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1.
T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1.
(((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x).
a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1.
(a(x,y,z) \ 1) \ 1 = a(x,y,z).
T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)).
T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)).
T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)).
(1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)).
a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)).
a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)).
a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))).
a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))).
a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)).
a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)).
a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)).
a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w.
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)).
T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))).
((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)).
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).
R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x).
K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u).
K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u).
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(1 / y,z,u) \ x) = R(K(x,x * y),z,u).
K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5).
R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x).
T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))).
R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1).
R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x.
R(1 / (x / y),x / y,x * (y / x)) = y / x.
((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x).
((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x).
T(x / y,(x / y) \ (1 / (y / x))) = x / y.
T(x / y,(x / y) \ ((y / x) \ 1)) = x / y.
((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1.
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).
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,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))).
(x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))).
T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)).
T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z).
T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z).
T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z).
T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)).
T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)).
T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x).
K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))).
K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))).
K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))).
K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))).
R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7).
R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u).
R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)).
R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)).
R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)).
K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))).
(x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)).
(x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)).
((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x).
R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)).
K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)).
K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)).
K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)).
(K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)).
K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z).
K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z).
K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z).
K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z).
K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z).
K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)).
K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)).
K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)).
(x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)).
(x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)).
(x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)).
R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)).
R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)).
(x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)).
(x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)).
(x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x.
(x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x.
K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y).
K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y).
K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y.
K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y).
(1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)).
(1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u).
(1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z).
(K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)).
(K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)).
(K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u).
(K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u).
R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)).
K(x,R(y,z,R(y,u,w))) = K(x,y).
K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))).
K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y).
K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)).
T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)).
K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)).
x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5.
K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)).
x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)).
a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)).
a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1.
(a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x).
a(R(x,y,z),u,x) = a(x,u,R(x,y,z)).
(x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)).
(x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)).
(L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)).
a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y).
a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)).
a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)).
a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)).
a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)).
a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)).
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)).
(x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)).
(x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)).
(x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)).
x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)).
x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)).
a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)).
R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)).
a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)).
a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u).
R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u).
R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w).
T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)).
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).
R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w).
R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)).
(R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w.
(K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z.
(K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5.
(K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5.
(K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5.
(R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5.
(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).
(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).
(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).
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)) = K(x,w \ R(T(x,y),z,u)).
K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)).
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)).
R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u).
R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u).
(x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)).
(x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)).
x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)).
(x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x.
T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)).
T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)).
T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)).
T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)).
T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)).
K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)).
T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)).
T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)).
T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,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(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(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w).
K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / 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 / (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).
K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u).
K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u).
K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u).
((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u).
K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1).
K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1).
K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1).
K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1).
K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)).
K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))).
K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1.
K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1.
1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u).
1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u).
K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u).
1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w).
K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u).
R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u).
K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u).
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u).
K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w.
T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)).
K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w).
(x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x.
(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(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w).
K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w.
K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x).
K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5.
(x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x.
(T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5).
K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x).
R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7).
1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w).
1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w).
K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x).
T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x).
T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x).
(a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w).
K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5.
K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z).
K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z).
K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z).
K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z).
T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z).
T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z).
T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z).
x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)).
K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)).
K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)).
1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w).
a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)).
a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z).
a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)).
a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z).
(T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))).
(T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u.
(T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)).
T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)).
x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x).
(K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u).
T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u).
K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z).
R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u).
R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u).
R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1).
K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z).
K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z).
R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u).
a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u).
(1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x.
(1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x.
(x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)).
(L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)).
1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x).
1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1).
1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x.
(1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1.
1 / (x \ L(x,y,z)) = L(x,y,z) \ x.
(L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u).
(L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)).
(L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5.
(((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)).
(1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)).
(1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1.
(x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)).
((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x.
((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)).
((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z).
(x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z).
T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z).
T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z).
(x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z).
1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z).
T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x.
((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z).
K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)).
K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)).
(((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z).
(((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)).
(((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)).
(((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z).
((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z).
((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z).
((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z).
((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z).
((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z).
K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u).
K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)).
K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x).
K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y).
K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y).
K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y).
K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y).
K(x * K(y,z),x \ T(z,y)) = K(x,x \ z).
T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)).
T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x).
T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)).
T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)).
T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)).
T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)).
T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)).
(x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))).
T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x).
T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)).
T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x).
T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x).
T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x).
T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x).
T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x).
L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y).
K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y).
L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x.
L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x.
L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x.
L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)).
T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)).
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)).
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).
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).
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) = 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).
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).
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).
K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))).
(((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)).
((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)).
((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)).
((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)).
T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u).
T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)).
T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y).
T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y).
T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y).
T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y).
K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)).
K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)).
K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z).
L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x.
L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x.
L(x,K(y,z),a(K(y,u),w,v5)) = x.
(a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5).
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.
a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z).
((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x).
K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z).
K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z).
K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z).
K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z).
K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z).
K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z).
K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z).
K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z).
K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z).
K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z).
K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x).
K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x).
K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x).
R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x).
(K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x).
(K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))).
(K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y).
(K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y).
K(x * y,z) * x = x * K(y * x,z).
K(x * y,T(z,y)) = K(y * x,z).
K(x * y,T(z,x)) = K(y * x,z).
K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z).
K(x * (y / x),z) = K(y,T(z,x)).
K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u).
K(T(x,y),z * y) = 1 / K(y * z,x).
K((x \ y) * x,z) = K(y,T(z,x)).
K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)).
K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z).
K(T(x,y) * y,z) = K(x * y,T(z,x)).
K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u).
K((x \ y) * x,T(y,z)) = 1.
T(x,(y \ z) * y) = x / K(z,T(x,y)).
K(T(x,y),z * y) = K(x,y * z).
K(x,T(y * z,z)) = K(x,z * y).
K(x,T(y * z,y)) = K(x,z * y).
K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y).
K(x,(y \ z) * y) = K(x,T(z,y)).
T(x,T(y * z,y)) = x * K(x,z * y).
T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x).
K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)).
K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)).
K(T(x \ y,x) * x,y) = 1.
x * K(T(y \ z,y) * y,z) = x.
T(x,(y \ z) * y) = T(x,T(z,y)).
T(x,T(y * z,y)) = T(x,z * y).
T(x,T(y * z,y)) != u | T(x,z * y) = u.
T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u.
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)).
K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))).
K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)).
K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)).
x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)).
K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u.
K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)).
(x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)).
T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w.
T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w.
T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w.
T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)).
T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)).
(x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x).
K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u).
K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z).
T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))).
K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)).
K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)).
K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)).
K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))).
T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)).
K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z).
K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w.
T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5).
K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u).
K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u).
T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x).
T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x).
R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5.
(R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w.
(R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w.
(R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w.
(T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w.
(R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u.
((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u).
a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)).
a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)).
a(R(a(x,y,x),z,u),z,u) = 1.
L(x,y,R(a(z,u,z),y,x)) = x.
(R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u).
(R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u).
x * R(a(y,z,y),x,u) = a(y,z,y) * x.
R(a(x,y,x),z,u) = a(x,y,x).
((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x).
a(x,y,R(x,z,u)) = a(x,y,x).
a(x,y * K(z,y),x) = L(a(x,y,x),y,z).
(a(x,y,x) * z) * u = a(x,y,x) * (z * u).
L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)).
L(x,y,a(z,u,z)) = x.
(a(x,y,x) * z) / u = a(x,y,x) * (z / u).
R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w).
a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)).
K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x).
a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)).
L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x).
(a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w).
(x * a(y,z,y)) * u = a(y,z,y) * (x * u).
a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)).
a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u).
(x * a(y,x,y)) * z = x * (a(y,x,y) * z).
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).
a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)).
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(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y).
a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w.
(x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u).
a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y).
a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)).
R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y).
R(K(x,y),z,u) = K(R(x,z,u),y).
R(K(x,y),K(x,z),u) = K(x,y).
R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u).
(K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u).
L(x,K(y,z),K(y,u)) = x.
(K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u).
(K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x).
(K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x).
T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1.
K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1.
K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u).
K(x,R(y,z,u)) * 1 = R(K(x,y),z,u).
R(K(x,y),z,u) = K(x,R(y,z,u)).
R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w.
K(R(x,y,z),u) = K(x,R(u,y,z)).
K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u).
T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x).
K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)).
K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w.
a(K(x,y),z * y,u) = a(K(x,y),z,u).
K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u).
a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w).
K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)).
T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x).
((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)).
((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)).
((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)).
K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))).
(((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).
a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),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,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x).
R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u).
(R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)).
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)).
T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)).
K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u).
K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u).
R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u).
K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u).
K(x,(y \ x) * R(y,z,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(y \ x,y),z * y,u).
L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)).
R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u).
a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)).
a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)).
a(L(x,y,z),u,L(x,y,z)) = a(x,u,x).
L(a(x,y,x),z,u) = a(x,y,x).
a(x,y * K(z,y),x) = a(x,y,x).
(x * y) * a(z,u,z) = x * (y * a(z,u,z)).
a(x,T(y,z),x) = a(x,y,x).
a(x,y / z,x) = a(x,z \ y,x).
a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x).
a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x).
a(x,y / (z * y),x) = a(x,z \ 1,x).
a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x).
R(x,y,a(z,u,z)) = x.
x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z).
L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)).
((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w.
x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u).
T(x,y * a(z,u,z)) = T(x,y).
T(x,(y * z) * y) = T(x,y * (z * y)).
T(x,T(y,z) / z) = T(x,z \ y).
T(x,a(y,z,y) \ u) = T(x,u).
T(x,a(y,z,y) \ u) = x * K(x,u).
K(x,a(y,z,y) \ u) = K(x,u).
K(x,(y \ R(y,z,y)) \ u) = K(x,u).
L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z).
T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)).
a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x).
a(x,(y * z) \ (u * z),x) = a(x,y \ u,x).
L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w).
((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z).
K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w).
K(x,R(y,z,y) \ u) = K(x,y \ u).
K(x,(a(y,z,y) * u) \ w) = K(x,u \ w).
K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u).
K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u).
L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)).
K(x,T(y * z,y) \ u) = K(x,(z * y) \ u).
K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u).
K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w.
K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u).
K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w.
K(x,y \ (a(z,u,z) * w)) = K(x,y \ w).
K(x,y \ T(z * u,z)) = K(x,y \ (u * z)).
L(x,(y * z) \ (u * z),x) = L(x,y \ u,x).
T(x,(y / z) * y) = T(x,y * (z \ y)).
L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)).
L(x,a(y,z,y),u) = L(x,u,a(y,z,y)).
L(x,a(y,z,y),u) = x.
(x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u).
(x * a(y,z,y)) * u = x * (a(y,z,y) * u).
(a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u).
R(x,a(y,z,y),u) = x.
T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z).
T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u).
T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u).
T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)).
T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u).
a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u).
K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u).
K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u).
T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u).
(x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w).
T(x * a(y,z,y),u) = a(y,z,y) * T(x,u).
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).
R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w).
R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)).
R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w).
R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w).
T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y).
(a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w).
(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).
a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x).
a(x,L(y,z,u) \ y,x) = a(x,a(u,z,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,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x.
L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x).
(a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w).
L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z).
a(a(x,y,x) * z,u,w) = a(z,u,w).
a(a(x,y,x) \ z,u,w) = a(z,u,w).
a(K(x * y,y),z,u) = a(K(x,y),z,u).
a(K(x,x \ y),z,u) = a(K(x,y),z,u).
a(K(x \ y,x),z,u) = a(K(y,x),z,u).
a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u).
a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u).
K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u).
a(K(x,y \ x),z,u) = a(K(y,x),z,u).
a(K(x \ y,y),z,u) = a(K(y,x),z,u).
a(K(x \ 1,y),z,u) = a(K(y,x),z,u).
a(K(x,y \ 1),z,u) = a(K(y,x),z,u).
a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5).
K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u).
a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5).
(x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u).
((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u).
R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u).
a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5).
a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5).
a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5).
a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5).
a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5).
a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u).
a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u).
a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,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 * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x).
K(x * L(y,z,u),x * y) = a(u,z,K(x,y)).
K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)).
K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)).
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)).
((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)).
K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)).
K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w).
K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)).
a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))).
a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))).
K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u).
a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)).
K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)).
K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)).
K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)).
K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)).
K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w).
K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)).
T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)).
K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1.
K(L(x,y,z) \ x,u) = K(a(z,y,x),u).
K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w).
K(x,L(y,z,u) \ y) = K(x,a(u,z,y)).
T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)).
T(x,L(y,z,u) \ y) = T(x,a(u,z,y)).
1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)).
K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)).
K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)).
x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1).
T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)).
L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))).
L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)).
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)).
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)).
K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w.
x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x).
T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z).
T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z).
a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)).
a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))).
K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w).
K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w).
K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w).
K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w).
K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5).
K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5).
K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5).
K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u).
K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u).
a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x).
a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x).
a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x).
a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x).
a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x).
a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x).
a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x).
(((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)).
K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5.
K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5).
K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w).
K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w).
K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))).
(x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)).
(x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)).
(x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)).
K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)).
x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)).
x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)).
K(x,x * a(y,z,u)) = a(y,z,K(x,u)).
(x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = 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).
L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)).
L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)).
L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)).
L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)).
L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)).
L(x,y,K(z * u,z)) = L(x,y,K(u,z)).
L(x,y,K(z \ u,z)) = L(x,y,K(u,z)).
L(x,y / z,K(y,z)) = x.
K(x,y) * ((x / y) * z) = (x / T(y,x)) * z.
K(x,y) * ((y / T(x,y)) * z) = (y / x) * z.
R(K(x,y),x \ y,z) = K(x,y).
R(K(x,x * y),y,z) = K(x,x * y).
K(x,R(y \ 1,y,z) \ x) = K(x,x * y).
T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y).
R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x).
T(x,R(y \ 1,y,z) \ x) = T(x,x * y).
T(x,(y / (z * y)) \ x) = T(x,x * z).
T(x,(y / z) \ x) = T(x,x * (z / y)).
T(x,(y * x) / z) = T(x,x * (y / z)).
x * K(x,x * (y / z)) = T(x,(y * x) / z).
K(x,(x * y) / z) = K(x,x * (y / z)).
K(x,(y * x) / z) = K(x,x * (y / z)).
K(x,(y / z) \ x) = K(x,x * (z / y)).
(x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)).
R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x).
T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)).
T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)).
T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)).
K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)).
R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))).
R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)).
K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)).
K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x).
K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x).
K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x).
K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x).
K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)).
K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z).
K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z).
K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z).
K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z).
L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)).
L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x).
L(x,y / z,x) = L(x,z \ y,x).
L(x,(y \ z) \ z,x) = L(x,y,x).
L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x).
L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x).
L(x,y * K(z,y),x) = L(x,y,x).
L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x).
L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x).
L(x,R(y,z,u),x) = L(x,z \ (z * y),x).
L(x,R(y,z,u),x) = L(x,y,x).
L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x).
L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x).
(x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u).
K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u).
a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u).
a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u).
K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y).
K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)).
K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)).
K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)).
K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)).
K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)).
K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)).
K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)).
(x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)).
T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)).
T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)).
T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)).
(x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))).
(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z).
(((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)).
(((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u).
((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u).
L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x).
T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)).
T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)).
T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)).
T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)).
T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)).
T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)).
T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)).
T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)).
(x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
(x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)).
T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)).
T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z).
T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)).
T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)).
T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)).
(L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)).
K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)).
K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))).
K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))).
K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))).
K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))).
K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))).
K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))).
K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))).
K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w.
K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))).
K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))).
K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))).
a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))).
K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u).
K(x,K(y * z,a(y,z,u))) = 1.
K(x,K(a(y,z,u),y * (z * u))) = 1.
K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1.
K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)).
R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)).
R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)).
a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)).
a(K(x,y),z * y,u) = K(x,a(y,z,u)).
a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u).
x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u).
K(x,x * a(y,z,u)) = a(K(x,y),z * y,u).
K(x,x * a(y,z,u)) = a(K(x,y),z,u).
a(K(x,y),z,u) = a(y,z,K(x,u)).
(T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5).
a(K(x,y),z,u) = a(x,z,K(u,y)).
a(x,y,K(z,u)) = a(u,y,K(x,z)).
a(x,x \ 1,K(y,z)) = 1.
a(x \ 1,x,K(y,z)) = 1.
L(K(x,y),z,z \ 1) = K(x,y).
K(x,L(y,z,z \ 1)) = K(x,y).
(1 / x) * (x * K(y,z)) = K(y,z).
K(L(x,y,y \ 1),z) = K(x,z).
L(K(x,y),1 / z,z) = K(x,y).
K(x,(y \ 1) \ z) = K(x,y * z).
K((x \ 1) \ y,z) = K(x * y,z).
(x \ 1) * K(y,z) = x \ K(y,z).
T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)).
(1 / x) \ K(y,z) != x * u | K(y,z) = u.
(1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u).
(x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z.
(x \ K(y,z)) * K(z,y) = x \ 1.
(x \ K(y,z)) \ (x \ 1) = K(z,y).
(K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x).
T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z).
x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u).
(x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y).
(1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)).
K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1.
K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1.
K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1.
K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1.
K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1.
L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x).
(x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y).
(x \ (y * z)) * K(z,y) = x \ (z * y).
R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y).
R(x,y,z) \ (z * (x * y)) = y * T(z,x * y).
K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)).
K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)).
K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1.
1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1.
K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x).
K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)).
K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x).
K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)).
K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)).
K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x).
K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x).
K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x).
K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)).
K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)).
K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)).
R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x).
1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)).
1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)).
1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)).
(x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z).
(((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u.
K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)).
K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)).
K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)).
K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)).
K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x).
K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x).
K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x).
K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x).
R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)).
R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)).
R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)).
K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)).
K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))).
K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u).
R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u).
R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y).
K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y).
K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)).
K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)).
K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)).
K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)).
T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)).
L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)).
L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)).
T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)).
L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)).
T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)).
((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1).
((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)).
(K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)).
(K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)).
K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)).
L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x).
L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x.
L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)).
L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)).
L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)).
L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)).
T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x).
T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x).
T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)).
T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)).
T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)).
(x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u.
(x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u.
(x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u.
(x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u.
((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u.
((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u.
((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u.
(x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u.
L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u).
L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u).
L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u).
L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u).
((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u.
(((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z).
T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z).
T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z).
T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z).
T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)).
T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)).
T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)).
T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y).
T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y).
T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y).
T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y).
T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y).
T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y).
T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)).
T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)).
T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)).
T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)).
T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)).
T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)).
T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)).
T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)).
T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)).
T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)).
T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)).
T(x,R(y,z,u)) = T(x,L(y,z,u)).
x \ T(x,L(y,z,u)) = K(x,R(y,z,u)).
x / T(x,L(y,z,u)) = K(R(y,z,u),x).
K(x,R(y,z,u)) = K(x,L(y,z,u)).
L(K(x,y),z,u) = K(x,R(y,z,u)).
R(K(x,y),z,u) = L(K(x,y),z,u).
L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y).
L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z).
K(R(x,y,z),u) != w | K(L(x,y,z),u) = w.
K(x,y) != z | K(L(x,a(u,w,u),v5),y) = z.
K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w).
K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u).
(x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1).
K(a(x,y,x) * z,u) != w | K(z,u) = w.
K(x * a(y,z,y),u) != w | K(x,u) = w.
K(T(x,y) / y,z) != u | K(y \ x,z) = u.
K(x / T(y,x),z) != u | K(y \ x,z) = u.
K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1).
K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1).
L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z).
T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u).
K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)).
K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)).
K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))).
K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))).
K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))).
T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y).
T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y).
x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x).
x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x).
x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x).
x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x).
K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))).
x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x).
K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))).
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x).
x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x).
x \ T(y * T(x,K(z,u)),K(z,z * u)) = T(y,K(z * u,z) * x).
x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,K(u \ 1,z) * x).
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x).
T(x,K(y,z) * u) = T(x,K(z,y) * u).
x \ T(x,K(y,z) * u) = K(x,K(z,y) * u).
T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u).
K(x,K(y,z) * u) = K(x,K(z,y) * u).
K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w.
K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u).
K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))).
T(x,((y * z) / y) * u) = T(x,T(z,y) * u).
K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u).
T(x,T(T(y,z),z) * u) = T(x,y * u).
T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)).
K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u).
T(x,y * T(T(z,u),u)) = T(x,y * z).
T(x,y * ((z * u) / z)) = T(x,y * T(u,z)).
K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)).
K(x * ((y * z) / y),u) = K(x * T(z,y),u).
K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w).
K(x,T(y * z,z) \ u) = K(x,(z * y) \ u).
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x).
T(x,K(y * z,y) * u) = T(x,K(z,y) * u).
T(x,K(y,y * z) * u) = T(x,K(z,y) * u).
K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u).
T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)).
K(x,K(y * z,y) * u) = K(x,K(z,y) * u).
K(x,K(y \ z,y) * u) = K(x,K(z,y) * u).
T(x,y * K(z,z * u)) = T(x,y * K(u,z)).
x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x).
T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u).
K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u).
T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)).
K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u).
K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u).
K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)).
L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w).
K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w).
K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)).
L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w).
K(x,K(y,z \ y) * u) = K(x,K(z,y) * u).
K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)).
K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)).
K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u).
K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y).
K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)).
K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)).
K(x * K(y,z \ 1),u) = K(x * K(z,y),u).
K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)).
T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)).
T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)).
K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))).
K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))).
K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))).
K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w).
K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w).
K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w).
K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w).
K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1).
K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w).
K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u).
K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u).
(x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)).
K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)).
K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))).
K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))).
K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))).
K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))).
K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)).
K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y).
K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)).
K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)).
K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)).
K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)).
K(x * K(y \ 1,z),u) = K(x * K(y,z),u).
K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u).
K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u).
K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u).
K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u).
K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u).
K(((x * y) / x) / z,u) = K(T(y,x) / z,u).
K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u).
K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u).
K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u).
K(x \ T(T(y,z),z),u) = K(x \ y,u).
K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x).
K(x,y \ T(T(z,u),u)) = K(x,y \ z).
K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))).
K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)).
K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)).
K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)).
K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))).
K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)).
K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)).
K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))).
K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))).
K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)).
K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)).
K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)).
K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)).
K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1).
K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1).
K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1).
K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)).
K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)).
K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)).
K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)).
K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)).
K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)).
K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)).
K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))).
K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)).
K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)).
K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)).
K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)).
K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)).
K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))).
K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))).
K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))).
K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)).
K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)).
K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)).
K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)).
K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)).
K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)).
K(x,T(y,z \ u)) = K(x,T(y,z * u)).
K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))).
K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)).
K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)).
K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)).
K(x,K(y,T(z,u))) = K(z,K(x,y)).
K(T(x,y),K(z,u)) = K(x,K(z,u)).
K(x,K(y,z)) * u = u * K(x,K(y,z)).
T(x,K(y,K(z,u))) = x.
K(x,K(y,K(z,u))) = 1.
K(x,y) * K(z,u) = K(z,u) * K(x,y).
K(c12,c13) * K(c10,c11) != K(c10,c11) * K(c12,c13).
K(c10,c11) * K(c12,c13) != K(c12,c13) * K(c10,c11).
T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)).
T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)).
T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u.
K(x,T(y,K(z,u))) = K(x,y).

end_of_list.
