% ****************
% AIM:  aa2 => aa3
% ****************

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.

   % 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(assumptions).

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

end_of_list.

formulas(goals).

   a(x,y,a(z,u,w)) = 1            # label("aa3").

end_of_list.

%
% Hints extracted from previously found proofs.
%

formulas(hints).

L(a(x,y,z),u,w) = a(x,y,z).
L(a(x,y,z),u,u \ w) = a(x,y,z).
L(a(x,y,z),u,u \ w) = a((x / u) * u,y,z).
a(((x / y) / (z / y)) * z,u,w) = L(a(x,u,w),y,y \ z).
a((x * (y / z)) \ u,w,v5) = a(((z / y) / x) * u,w,v5).
a(((x / y) / z) * u,w,v5) = a((z * (y / x)) \ u,w,v5).
a((((x / y) \ 1) / z) * u,w,v5) = a(((y / x) / z) * u,w,v5).
a((((x / y) \ 1) / z) * u,w,v5) = a((z / (y / x)) \ u,w,v5).
a(((x / y) * ((y / x) * (z / (y / x)))) \ u,w,v5) = a((((x / y) \ 1) / z) * u,w,v5).
a(((x / y) * ((y / x) * (z / (y / x)))) \ u,w,v5) = a(((z / ((x / y) * z)) / z) * u,w,v5).
x / (x / ((y / z) * x)) = (y / z) * ((z / y) * (x / (z / y))).
(x / y) * ((y / x) * (z / (y / x))) = z / (z / ((x / y) * z)).
((x / y) * ((y / x) * z)) / (x / y) = (y / x) * ((x / y) * (z / (x / y))).
L((x / (y / z)) * ((z / y) * (y / z)),z \ y,y \ z) = ((y / z) * ((z / y) * x)) / (y / z).
a(((x / y) * ((y / x) * z)) \ u,w,v5) = a(z \ u,w,v5).
a((x \ (1 / y)) * z,u,w) = a((y * x) \ z,u,w).
a(((1 / x) * y) \ z,u,w) = a((y \ x) * z,u,w).
a(x * (y \ z),u,T(w,z \ y)) = a(((1 / z) * y) \ x,u,w).
a(x / ((1 / y) * z),u,w) = a(x * (z \ y),u,w).
(((x \ y) / y) * x) * (z / (x \ y)) = z / ((1 / x) * y).
(x * (((y \ z) / z) * y)) / u = (((y \ z) / z) * y) * (x / u).
(x * (((y \ z) / z) * y)) / L(u,u \ x,1) = (((y \ z) / z) * y) * (x / u).
(x * (((y \ z) / z) * y)) / L(u,u \ x,y \ y) = (((y \ z) / z) * y) * (x / u).
a((((x / y) * z) \ (1 / (y / x))) * u,w,v5) = a(z \ u,w,v5).
a(x \ (((y / z) * (z / y)) \ u),w,v5) = a(x \ u,w,v5).
a(((x / y) * (y / x)) \ (z \ u),w,v5) = a(z \ (((x / y) * (y / x)) \ u),w,v5).
a(x \ (((y / z) * (z / y)) \ u),w,v5) = a(((y / z) * (z / y)) \ (x \ u),w,v5).
a((((x / y) * (y / x)) * z) \ u,w,v5) = a(((x / y) * (y / x)) \ (z \ u),w,v5).
a(((x / y) * (y / x)) \ (z \ u),w,v5) = a((((x / y) * (y / x)) * z) \ u,w,v5).
a(((x / y) * (y / x)) \ (z / u),w,T(v5,u)) = a(((x / y) * (y / x)) \ (u \ z),w,v5).
a(((x / y) * (y / x)) \ (z / u),w,T(v5,u)) = a((u * ((x / y) * (y / x))) \ z,w,v5).
a(((x / y) * (y / x)) \ (z / u),w,T(v5,u)) = a((((x / y) * (y / x)) * u) \ z,w,v5).
L(x * ((y / z) * (z / y)),y \ z,z \ y) = (y / z) * ((z / y) * x).
L(x,y \ z,z \ y) * ((y / z) * (z / y)) = (y / z) * ((z / y) * x).
L((((x / y) * (y / x)) * z) / (y / x),x \ y,y \ x) = ((y / x) * ((x / y) * z)) / (y / x).
L(x,y / z,z / y) = L(x,z \ y,y \ z).
L(x,y / z,z / y) = L(x,z \ y,z / y).
L(x,y \ z,y / z) = L(x,z / y,y / z).
L(x,(y / z) \ 1,y / z) = L(x,y \ z,y / z).
L(x,y \ z,y / z) = L(x,(y / z) \ 1,y / z).
(x / y) * (((x / y) \ 1) * z) = L(z,x \ y,x / y).
(x / y) * (((y \ x) \ K(y \ x,y)) * z) = L(z,x \ y,x / y).
K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z.
K(x,y) * ((y \ K(y,x)) * z) = (y \ 1) * z.
K(x,y) * ((((x * y) / x) \ 1) * z) = (y \ 1) * z.
K(x,y) * ((((x * y) / x) \ 1) * z) = 1 \ ((y \ 1) * z).
1 \ ((x \ 1) * y) = K(z,x) * ((((z * x) / z) \ 1) * y).
(x * (x \ 1)) \ ((x \ 1) * y) = K(z,x) * ((((z * x) / z) \ 1) * y).
K(x,y) * ((((x * y) / x) \ 1) * z) = (y * (y \ 1)) \ ((y \ 1) * z).
L(T(x,x \ 1) \ y,x,x \ 1) = K(z,x) * ((((z * x) / z) \ 1) * y).
L(x,y,z / (z * y)) = L(x,y,y \ 1).
L(x,y,y \ 1) = L(x,y,z / (z * y)).
L(L(x,y,K(y,z)),u,u \ 1) = L(x,u,w / (w * u)).
T(x,a(y \ 1,y,z)) = L(x,u,K(u,w)).
L(x,y,K(y,z)) = a(u \ 1,u,w) \ (x * a(u \ 1,u,w)).
L(x,y,K(y,z)) = a(u \ 1,u,w) \ ((1 / x) \ a(u \ 1,u,w)).
L(x,y,K(y,z)) = ((1 / x) * a(u \ 1,u,w)) \ a(u \ 1,u,w).
L(x,y,K(y,z)) = (((1 / x) * ((1 / u) \ w)) / (u * w)) \ a(u \ 1,u,w).
(((x / y) * (y / x)) * z) / u = (z / u) * ((x / y) * (y / x)).
(x * ((y / z) * (z / y))) / u = (x / u) * ((y / z) * (z / y)).
(x * (((y \ z) / z) * y)) / L(u,u \ x,((y \ z) / z) * y) = (((y \ z) / z) * y) * (x / u).
(((x \ y) / y) * x) * z = z * (((x \ y) / y) * x).
(x * ((y / z) * (z / y))) / u = x / (((y / z) * (z / y)) \ u).
x / (((y / z) * (z / y)) * u) = ((y / z) * (z / y)) \ (x / u).
((x / y) * (y / x)) \ (z / u) = z / (((x / y) * (y / x)) * u).
a(x / (((y / z) * (z / y)) * u),w,T(v5,u)) = a((((y / z) * (z / y)) * u) \ x,w,v5).
T(x,((y / z) * (z / y)) * u) = T(x,u).
T(x,y * ((z / u) * (u / z))) = T(x,y).
T(x,y) = T(x,y * ((z / u) * (u / z))).
((x / y) * (y / x)) * z != T(u,w) * ((x / y) * (y / x)) | z = T(u,w * ((x / y) * (y / x))).
L(x,y / z,z / y) * ((z / y) * (y / z)) = (z / y) * ((y / z) * x).
(x / y) * ((y / x) * z) = L(z,y / x,x / y) * ((x / y) * (y / x)).
x / ((y / z) * (z / y)) = ((y / z) * (z / y)) \ x.
((x / y) * (y / x)) * z = z * ((x / y) * (y / x)).
x * ((y / z) * (z / y)) = ((y / z) * (z / y)) * x.
1 * ((((x \ y) / y) * x) * z) = z * (((x \ y) / y) * x).
K(x,a(y,y \ 1,z)) = 1.
T(x,(y / z) * (z / y)) = x.
K(x,(y / z) * (z / y)) = 1.
K(x,(y / z) * (z / y)) = a(u,w / u,K(v5,w)).
a(x,y / x,K(z,y)) = K(u,(w / v5) * (v5 / w)).
K(x,R(y / x,(y / x) \ 1,z) \ (x \ y)) = a(u,w / u,K(v5,w)).
(((1 / x) * ((1 / y) \ z)) / (y * z)) \ a(y \ 1,y,z) = x * a(u,w,K(v5,w)).
K(x,R(y / x,(y / x) \ 1,z) \ (x \ y)) = a(u,w,K(v5,w)).
a(x,y,K(z,y)) = a(u \ 1,u,w) \ a(v5 / (v5 * u),u,w).
a(x \ 1,x,y) \ a(z / (z * x),x,y) = a(u,w,K(v5,w)).
a(x,x \ 1,K(y,z)) = a(u,w,K(v5,w)).
a(x,x \ 1,K(y,z)) = a(u,w,K(w,v5)).
a(x,y,K((((y \ 1) \ z) \ y) \ 1,y)) = a(y,y \ 1,K(z,x)).
K((((x \ 1) \ y) \ x) \ 1,a(z,x,x)) = a(x,x \ 1,K(y,z)).
a(x,x \ 1,K(y,z)) = K((((x \ 1) \ y) \ x) \ 1,a(z,x,x)).
((x \ 1) \ y) \ ((x \ 1) \ T(y,a(z,x,x))) = a(x,x \ 1,K(y,z)).
((x \ 1) \ y) \ T(y / (x \ 1),L(x \ 1,x,z)) = a(x,x \ 1,K(y,z)).
((x \ 1) \ y) \ T(y / (x \ 1),R(x \ 1,x,z)) = a(x,x \ 1,K(y,z)).
x * (y * T(x * (y / (x * y)),z)) = T(y / (x \ 1),R(x \ 1,x,z)).
x * (y * T(x * (y / (x * y)),z)) = (x \ 1) \ T(y,a(x,x \ 1,z)).
(x \ 1) \ T(y,a(x,x \ 1,z)) = x * (y * T(x * (y / (x * y)),z)).
(x \ y) * a(z,z \ 1,K(y,u)) = x \ T(y,a(z,z \ 1,u)).
(x \ y) * K(z \ ((u \ 1) * (u * z)),y) = x \ T(y,a(u,u \ 1,z)).
x \ T(y,a(z,z \ 1,u)) = (x \ y) * K(u \ ((z \ 1) * (z * u)),y).
x \ (((y * (z / (y * z))) \ u) * (y * (z / (y * z)))) = (x \ u) * K(z \ ((y \ 1) * (y * z)),u).
x \ (((y * (z / (y * z))) \ u) / (z \ ((y \ 1) * (y * z)))) = (x \ u) * K(z \ ((y \ 1) * (y * z)),u).
a((x / (y / z)) * y,u,w) = a(x * z,u,w).
a(x * y,z,u) = a((x / (w / y)) * w,z,u).
a(((x / y) / z) \ x,u,w) = a(z * y,u,w).
a(((x / y) / z) \ x,u,w) = x \ (x * a(z * y,u,w)).
x \ (x * a(y * z,u,w)) = a(((x / z) / y) \ x,u,w).
((x / y) / z) * R(((x / y) / z) \ x,u,w) = x * a(z * y,u,w).
(x * (y \ R(y * z,u,w))) / z = x * a(z * y,u,w).
(x * (y \ R(y * z,u,w))) / z = x * (y \ (z \ R(z * y,u,w))).
R(x * (y \ (z \ R(z * y,u,w))),R(z * y,u,w) \ (z * y),y \ R(y * z,u,w)) = (x * (y \ R(y * z,u,w))) / z.
L(x,y \ z,y / z) = L(x,y \ z,z \ y).
L(x,(T(y,z) / z) \ 1,z \ y) = L(x,y \ z,y / z).
L(x,y \ z,y / z) = L(x,(T(y,z) / z) \ 1,z \ y).
L(x,(T(y,z) / z) \ 1,T(y,z) / z) = L(x,y \ z,y / z).
L(x,y \ z,y / z) = L(x,(T(y,z) / z) \ 1,T(y,z) / z).
(T(x,y) / y) * (((T(x,y) / y) \ 1) * z) = L(z,x \ y,x / y).
K(x,y) * ((x / y) * z) = (T(x,y) / y) * z.
K(x,y) * ((x / y) * z) = (T(x,y) / y) * L(z,u \ w,K(w,u)).
(T(x,y) / y) * L(z,u \ w,K(w,u)) = K(x,y) * ((x / y) * z).
L(x,y \ z,K(z,y)) = L(x,u / w,K(u,w)).
L(x,y / z,K(y,z)) = L(x,u \ w,K(w,u)).
L(x,y / z,K(y,z)) = L(x,u,K(u,w)).
L(x,y,K(z \ u,u)) = L(x,y,K(u,z)).
L(x,y,K(z,u)) = L(x,y,K(u \ z,z)).
L(x,y,K(z \ 1,u \ z)) = L(x,y,K(z,u)).
L(x,y,K(z \ 1,u \ z)) = L(x,y,K(u \ 1,z)).
L(x,y,K(z \ 1,u)) = L(x,y,K(u \ 1,z \ u)).
L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)).
L(x,y,K(z,u)) = L(x,y,K(u \ 1,z)).
L(x,y,K(z \ 1,u)) = a(K(u,z),y,x) \ x.
a(K(x \ 1,y),z,u) = a(K(y,x),z,u).
a(K(x,y),z,u) = a(K(y \ 1,x),z,u).
a(K(x,y),z,T(T(u,w),w)) = a(K(y \ 1,x),z,u).
a(K(x \ 1,y),z,u) = a(K(y,x),z,T(T(u,w),w)).
a(K(x,T(y,z)),u,T(w,z)) = a(K(y \ 1,x),u,w).
a(K(K(x,y) * z,T(y,x)),u,T(w,x)) = a(K(y \ 1,z),u,w).
a(K(T(K(x,y) * z,x),y),u,T(w,x)) = a(K(y \ 1,z),u,w).
a(K(x \ 1,y),z,u) = a(K(T(K(w,x) * y,w),x),z,T(u,w)).
a(K(x * T(K(y,x) * z,y),x),u,T(w,y)) = a(K(x \ 1,z),u,w).
a(K(x \ 1,y),z,u) = a(K(x * T(K(w,x) * y,w),x),z,T(u,w)).
a(K(x \ K(x,y),x * T(K(y,x) * z,y)),u,w) = a(K(x \ 1,z),u,w).
a(K(x \ K(x,y),x * (K(y,x) * T(z,y))),u,w) = a(K(x \ 1,z),u,w).
a(K(x \ K(x,y),(T(z,y) * x) * K(y,x)),u,w) = a(K(x \ 1,z),u,w).
a(K(x \ K(x,y),(T(z,y) * K(y,x)) * x),u,w) = a(K(x \ 1,z),u,w).
a(K(x \ K(x,y),(T(z,y) / K(x,y)) * x),u,w) = a(K(x \ 1,z),u,w).
a(K(x \ K(x,y),(x \ K(x,y)) \ T(z,y)),u,w) = a(K(x \ 1,z),u,w).
K(x \ K(x,y),T(z,y)) = K(x \ 1,z).
T(K(x \ K(x,y),z),y) = K(x \ 1,z).
T(K(x \ K(x,y),z),y) = K(z,x \ 1) \ 1.
K(x,y \ 1) \ 1 = T(K(y \ K(y,z),x),z).
(R(x,y,x) / (K(y \ 1,z) * R(x,y,x))) \ 1 = T(K(y \ K(y,x),z),x).
(R(x,y,x) / (T(x * y,x) * T((y * x) \ x,z))) \ 1 = T(K(y \ K(y,x),z),x).
(R(x,y,x) / (T(x * y,x) * T((y * x) \ x,z))) \ 1 = T(K(y \ K(y,x),z),R(x,y,x)).
(R(x,y,x) / (T(x * y,x) * T((y * x) \ x,z))) \ 1 = T(K(z,y \ K(y,x)) \ 1,R(x,y,x)).
(R(x,y,x) / (T(x * y,x) * T((y * x) \ x,z))) \ 1 = T(K(z,(y * K(x,y)) \ 1) \ 1,R(x,y,x)).
T(K(x,(y * K(z,y)) \ 1) \ 1,R(z,y,z)) = (R(z,y,z) / (T(z * y,z) * T((y * z) \ z,x))) \ 1.
T(K(x,(y * K(R(z,y,z),y)) \ 1) \ 1,R(z,y,z)) = (R(z,y,z) / (T(z * y,z) * T((y * z) \ z,x))) \ 1.
((x / y) / z) * R(((x / y) / z) \ x,u,w) = (x * (y \ R(y * z,u,w))) / z.
(x * (y \ R(y * z,u,w))) / z = ((x / y) / z) * R(((x / y) / z) \ x,u,w).
(x / y) * R(y * (z * a(y \ x,y,z)),u,w) = x * (y \ R(y * z,u,w)).
(x \ (x / y)) * R((x \ (x / y)) \ z,u,w) = y \ R(y * z,u,w).
x \ R(x * y,z,u) = (w \ (w / x)) * R((w \ (w / x)) \ y,z,u).
x \ R((1 / (y \ (y / x))) * (a(x \ y,x,x \ 1) \ z),u,w) = (y \ (y / x)) * R((y \ (y / x)) \ z,u,w).
x \ R(a(x \ y,x,x \ 1) \ ((1 / (y \ (y / x))) * z),u,w) = (y \ (y / x)) * R((y \ (y / x)) \ z,u,w).
(((1 / x) * ((1 / y) \ z)) / (y * z)) \ a(y \ 1,y,z) = x * (a(y \ 1,y,z) \ a(x / (x * y),y,z)).
(a(x \ 1,x,y) / z) \ a(z / (z * x),x,y) = (((1 / z) * ((1 / x) \ y)) / (x * y)) \ a(x \ 1,x,y).
(x * y) / L(z,z \ y,x) = x * (y / z).
L(x,y / x,z) = L(x,x \ y,z).
L(x,x \ y,z) = L(x,y / x,z).
L(x,T(y,x),z) = L(x,y,z).
L(x,y,z) = L(x,T(y,x),z).
L(x,T(y,x),z) = a(z,y,x) \ x.
a(x,T(y,z),z) = a(x,y,z).
a(x,y,z) = a(x,T(y,z),z).
a(x,T(y,z),T(z,y)) = a(x,y,z).
a(x,y,z) = a(x,T(y,z),T(z,y)).
a(x,T(y,z),T(z,y)) = x \ R(x,y,z).
x \ R(x,y,z) = a(x,T(y,z),T(z,y)).
R(x,(y \ 1) * (z * y),T(z,y) \ ((1 / y) \ z)) = R(x,z,y).
R(x,(y \ 1) * (z * y),T(z,y) \ ((1 / y) \ z)) = R(x,T(z,y),y).
R(x,T(y,z),z) = R(x,(z \ 1) * (y * z),T(y,z) \ ((1 / z) \ y)).
R(x,(y \ 1) * (z * y),T(z,y) \ ((1 / y) \ z)) = x * a(x,T(z,y),y).
R(x,(y \ 1) * (z * y),T(z,y) \ ((1 / y) \ z)) = x * a(x,T(z,y),T(y,z)).
x * a(x,T(y,z),T(z,y)) = R(x,(z \ 1) * (y * z),T(y,z) \ ((1 / z) \ y)).
x \ R(x,(y \ 1) * (z * y),T(z,y) \ ((1 / y) \ z)) = a(x,T(z,y),T(y,z)).
x \ R(x,(1 / y) * (z * y),T(z,y) \ ((1 / y) \ z)) = a(x,T(z,y),T(y,z)).
x \ R(x,(1 / y) * (z * y),T(z,y) \ ((1 / y) \ z)) = a(x,y \ (z * y),T(y,z)).
x \ R(x,(1 / y) * (z * y),T(z,y) \ ((1 / y) \ z)) = a(x,(1 / y) * (z * y),T(y,z)).
x \ R(x,(1 / y) * (z * y),T(z,y) \ ((1 / y) \ z)) = a(x,(1 / y) * (z * y),z \ ((1 / y) \ z)).
a(K(x \ K(x,y),z),u,w) = a(K(z,x),u,T(w,y)).
a(K(x,y),z,T(u,w)) = a(K(y \ K(y,w),x),z,u).
a(K(x * (y \ K(y,z)),x),u,w) = a(K(x,y),u,T(w,z)).
a(K(x * (K(y,z) / y),x),u,w) = a(K(x,y),u,T(w,z)).
a(K(x * (K(y,z) / y),x),u,w) = a(K(y \ x,y),u,T(w,z)).
a(K(x * (K(y,z) / y),x),u,w) = a(K(y \ x,T(y,z)),u,w).
a(K(x \ y,T(x,z)),u,w) = a(K(y * (K(x,z) / x),y),u,w).
a(K(x * (K(y,z) / y),L(T(y,z),z / (z * y),x)),u,w) = a(K(x * (K(y,z) / y),x),u,w).
a(K(x * (K(y,z) / y),L((z * y) / z,z / (z * y),x)),u,w) = a(K(x * (K(y,z) / y),x),u,w).
a(K(x,x \ y),z,u) = a(K(x,y),z,u).
a(K(x,y),z,u) = a(K(x,x \ y),z,u).
a(K(x,x * y),z,u) = a(K(x,y),z,u).
a(K(x,y),z,u) = a(K(x,x * y),z,u).
a(a(x,y,x) * z,u,w) = a(z,u,w).
a(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(z,u,w).
a(x,y,z) = a(a(u,w,u) * x,L(y,x,a(u,w,u)),z).
a(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (z * (u * w)) \ ((z * u) * w).
((x * (y * z)) \ ((x * y) * (a(u,w,u) \ z))) * a(u,w,u) = a(a(u,w,u) * x,L(y,x,a(u,w,u)),z).
((x * (y * z)) \ (a(u,w,u) \ ((x * y) * z))) * a(u,w,u) = a(a(u,w,u) * x,L(y,x,a(u,w,u)),z).
((a(x,y,x) * (z * (u * w))) \ ((z * u) * w)) * a(x,y,x) = a(a(x,y,x) * z,L(u,z,a(x,y,x)),w).
a(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * (u * w))) \ ((z * u) * w)) * a(x,y,x).
(a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,L(u,z,a(x,y,x)),w).
(a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,L(u,z,a(x,y,x)),w).
a(K(x \ y,x),z,u) = a(K(y,x),z,u).
a(K(x,y),z,u) = a(K(y \ x,y),z,u).
a(K(x * y,x),z,u) = a(K(y,x),z,u).
a(x * a(y,z,y),u,w) = a(x,u,w).
a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w).
a(x,a(y,z,y) * u,L(w,u,a(y,z,y))) = a(x * a(y,z,y),u,w).
a((((x / y) * z) \ (1 / (y / x))) * u,w,v5) = a(z \ (((x / y) * (y / x)) \ u),w,v5).
a((((x / y) * z) \ (1 / (y / x))) * u,w,v5) = a((((x / y) * (y / x)) * z) \ u,w,v5).
a((((x / y) * (y / x)) * z) \ u,w,v5) = a((((x / y) * z) \ (1 / (y / x))) * u,w,v5).
a((x \ y) \ z,u,w) = a((y \ x) * z,u,w).
a(L(x \ 1,x,y) \ z,u,w) = a(x * z,u,w).
a((((x \ y) / y) * x) * (z / (u \ w)),v5,v6) = a(z * (w \ u),v5,v6).
a(L(x \ 1,x,y) \ z,u,w) = a(z * x,u,T(w,x \ 1)).
a(x * y,z,T(u,y \ 1)) = a(L(y \ 1,y,w) \ x,z,u).
a(x / (y \ z),u,w) = a(x * (z \ y),u,w).
a(x / ((y * z) \ y),u,w) = a(x * z,u,w).
a(x * y,z,u) = a(x / ((w * y) \ w),z,u).
a(x * (1 / ((y * z) \ y)),u,w) = a(x * z,u,w).
a(a(x,y,y \ 1) * (z * y),u,w) = a(z * (1 / ((x * y) \ x)),u,w).
a((a(x,y,y \ 1) * z) * y,u,w) = a(z * (1 / ((x * y) \ x)),u,w).
a(x * (1 / ((y * z) \ y)),u,w) = a((a(y,z,z \ 1) * x) * z,u,w).
a(x * (1 / ((y * z) \ y)),u,w) = a(z * (a(y,z,z \ 1) * x),u,T(w,z)).
a(x * (a(y,x,x \ 1) * z),u,T(w,((y * x) \ y) \ 1)) = a(z * (1 / ((y * x) \ y)),u,w).
x \ (a(x \ y,x,x \ 1) \ R((1 / (y \ (y / x))) * z,u,w)) = (y \ (y / x)) * R((y \ (y / x)) \ z,u,w).
(1 / (x \ (x / y))) \ z = y \ (a(y \ x,y,y \ 1) \ z).
(1 / (x \ (x / y))) \ z = (y * a(y \ x,y,y \ 1)) \ z.
(x * a(x \ y,x,x \ 1)) \ z = (1 / (y \ (y / x))) \ z.
(a(x \ y,x,x \ 1) / (x \ 1)) \ z = (1 / (y \ (y / x))) \ z.
(a(x \ y,x,z / (z * x)) / (x \ 1)) \ z = (1 / (y \ (y / x))) \ z.
(a(x \ y,x,z * ((x \ 1) / z)) / (x \ 1)) \ z = (1 / (y \ (y / x))) \ z.
(1 / (x \ (x / y))) \ z = (a(y \ x,y,z * ((y \ 1) / z)) / (y \ 1)) \ z.
(1 / (x \ (x / y))) * (a(y \ x,y,y \ 1) \ z) = y * z.
L(x * y,z,K(z,u)) = (1 / (w \ (w / x))) * (a(x \ w,x,x \ 1) \ y).
((x / y) * ((y / x) * z)) / (x / y) = z / (z / ((y / x) * z)).
L(x,y,K(y,z)) = x * a(x,x \ u,K(u,w)).
L(x,y,K(y,z)) = a(u,u \ w,K(w,v5)) * x.
L(x,y,K(y,z)) = 1 * x.
L(x,y / z,K(z \ y,y)) = L(x,u,K(u,w)).
L(x,y,K(y,z)) = L(x,u,K(u,w)).
L(x * y,z,K(z,u)) = (1 / (w \ (w / x))) * (y / a(x \ w,x,x \ 1)).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = L(y * z,u,K(u,w)).
T(x,a(y,z,z)) = L(x,u,K(u,w)).
T(x,a(y,z,z)) = ((x / T(u,w)) * u) * K(u,w).
T(x,a(y,z,z)) = ((x / (u * K(u,w))) * u) * K(u,w).
((x / (y * K(y,z))) * y) * K(y,z) = T(x,a(u,w,w)).
a(x,y,y \ 1) \ (z * u) = z * (a(x,y,y \ 1) \ u).
a(x * (y \ z),u,T(w,z \ y)) = a((y \ z) * x,u,w).
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,y \ z) = T(x,(z \ y) \ 1).
T(x,y \ (y / z)) = T(x,z \ 1).
a(x,y,z / (z * y)) = a(x,y,y \ 1).
a(x,y,y \ 1) \ (z * u) = z * (u / a(x,y,y \ 1)).
a(x,T(y,z),T(u,y)) = a(x,T(y,z),u).
a(x,T(y,z),u) = a(x,T(y,z),T(u,y)).
T(L(x,y,K(z,y)),u \ (u / w)) = T(x,w \ 1).
T(x,a(y,z \ 1,z)) = L(x,u,K(w,u)).
(1 / L((x * (y \ 1)) / x,y,y \ z)) \ (x * K(y \ 1,x)) = (1 / (z \ (z / y))) \ x.
x / (x / ((y / z) * x)) = ((y / z) * x) * K(z / y,(y / z) * x).
K(x \ (x / y),z) = K(y \ 1,z).
K(x \ 1,y) = K(z \ (z / x),y).
L(x,y,K(z,y)) = a(u,w,K(w,v5)) * x.
a(x,y,K(y,z)) * u = L(u,w,K(v5,w)).
((x / (y * K(y,z))) * y) * K(y,z) = x * a(u,w,K(v5,w)).
x * a(y,z,K(u,z)) = ((x / (w * K(w,v5))) * w) * K(w,v5).
K((x / y) \ 1,z) = K(y / x,z).
K(x / y,z) = K((y / x) \ 1,z).
x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x.
a(x,y,y \ 1) \ z = z / a(x,y,y \ 1).
K(x,L(y,x,z)) = K(x,y).
K(x,y) = K(x,L(y,x,z)).
K((x \ y) \ 1,z) = K(y \ x,z).
K(x \ y,z) = K((y \ x) \ 1,z).
a(x,y,z / (z * y)) = y / (x \ (x / (y \ 1))).
L(x,K(y,x),z) = x.
T(x,a(y,x,z)) = x.
a(x,y,K(z,y)) = a(u,w,K(w,v5)).
a(x,x \ y,K(y,z)) = 1.
1 = a(x,x \ y,K(y,z)).
x * a(y,z,K(z,u)) = x.
L(K(x,y),x,z) = K(x,y).
a(x,T(y,z),T(u,y)) = 1 * a(x,T(y,z),u).
1 * a(x,T(y,z),u) = a(x,T(y,z),T(u,y)).
K(x,a(y,x,z)) = 1.
1 = K(x,a(y,x,z)).
a(x,y,K(y,z)) = 1.
1 = a(x,y,K(y,z)).
a(x,y,K(z,y)) = 1.
a(x,K(x,y),y * (z / y)) = a(z,x,K(y,x)).
x * y != x / a(z,u,K(w,v5)) | y = a(z,u,K(v5,w)).
x * a(y,K(y,z),z * (u / z)) = x / a(u,y,K(y,z)).
x / a(y,z,K(z,u)) = x * a(z,K(z,u),u * (y / u)).
x / a(y,K(z,y),K(y,z) * u) = x * a(y,K(y,z),z * (u / z)).
x * a(y,K(y,z),z * (u / z)) = x / a(y,K(z,y),K(y,z) * u).
x * (y \ R(y,K(y,z),z * (u / z))) = x / a(y,K(z,y),K(y,z) * u).
x / a(y,K(z,y),K(y,z) * u) = x * (y \ R(y,K(y,z),z * (u / z))).
R(x,K(x,y),y * (z / y)) \ x = a(x,K(y,x),K(x,y) * z).
a(x,K(y,x),K(x,y) * z) = R(x,K(x,y),y * (z / y)) \ x.
T(R(x,K(x,x \ y),z) \ x,y \ 1) = a(x,K(y,x),K(x,y) * z).
T(a(x,y,K(y,y \ z)),z \ 1) = a(y,K(z,y),K(y,z) * x).
T(a(x,y,K(y,z)),z \ 1) = a(y,K(z,y),K(y,z) * x).
a(x,K(y,x),K(x,y) * z) = T(a(z,x,K(x,y)),y \ 1).
a(x,K(y,x),K(x,y) * z) = a(z,x,T(K(x,y),y \ 1)).
a(x,K(y,x),K(x,y) * z) = a(z,x,K(x,y)).
x * y != L(x,K(z,u),z * K(u,z)) | y = a(x,z,K(z,u)).
x * a(y,K(z,y),K(y,z) * x) = L(x,K(y,z),y * K(z,y)).
x * (R(x,K(x,y),y * (z / y)) \ z) = z * a(x,K(y,x),K(x,y) * z).
((x * y) / x) * (R((x * y) / x,z,u) \ w) = y * (R(y,z,x * (u / x)) \ w).
((x * y) / x) * (R((x * y) / x,z,u) \ w) = (R(y,z,x * (u / x)) \ y) * w.
(x * y) / (x * R(y,z,u)) = R(y,z,x * (u / x)) \ y.
R(x,y,z * (u / z)) \ x = (z * x) / (z * R(x,y,u)).
R(x,y,z * K(u,u \ z)) \ x = (u * x) / (u * R(x,y,z)).
x * (R(x,K(x,y),y * (z / y)) \ z) = L(z,K(x,y),x * K(y,x)).
L(x,K(y,z),y * K(z,y)) = y * (R(y,K(y,z),z * (x / z)) \ x).
R(x,y,z * ((u * (z / u)) / z)) \ x = (u * x) / (u * R(x,y,z)).
(x * y) / (x * R(y,z,u)) = R(y,z,u * ((x * (u / x)) / u)) \ y.
R(x,K(x,y),y * (z / y)) \ (x * z) = L(z,K(x,y),x * K(y,x)).
R((x * y) / x,z,u) * K(y,x) = R(y,z,x * (u / x)).
K(x,y) * R((y * x) / y,z,u) = R(x,z,y * (u / y)).
x / (x * (y \ R(y,z,u * (x / u)))) = (u * y) / (u * R(y,z,x)).
K(x,y) * R((y * x) / y,z,u) = x * (x \ R(x,z,y * (u / y))).
(x * R(y,z,u)) / (x * y) = y \ R(y,z,x * (u / x)).
(x * (y \ R(y,z,u))) / x = (x * R(y,z,u)) / (x * y).
(x * (y \ R(y,z,u))) / ((x / y) * y) = (x * R(y,z,u)) / (x * y).
((x / y) * R(y,z,u)) / ((x / y) * y) = (x * R(y,z,u)) / (x * y).
((x * y) * R(x,z,u)) / ((x * y) * x) = (y * R(x,z,u)) / (y * x).
(a(x,y,z) / u) \ a(w,v5,v6) = u * (a(x,y,z) \ a(w,v5,v6)).
a(x,y,z) / (u * (a(w,v5,v6) \ a(x,y,z))) = a(w,v5,v6) / u.
(a(x \ 1,x,y) / z) \ a(x \ 1,x,z * (y / z)) = (((1 / z) * ((1 / x) \ y)) / (x * y)) \ a(x \ 1,x,y).
(1 / x) \ (a(y,z,u) / x) = a(y,z,x * (u / x)).
a(x,y,z * (u / z)) = (1 / z) \ (a(x,y,u) / z).
(1 / x) \ (a(y,z,u) / x) = x / (x / a(y,z,u)).
x / (x / a(y,z,u)) = (1 / x) \ (a(y,z,u) / x).
(a(x,y,z) / u) \ 1 = u / a(x,y,z).
a(x,y,z) / (u * (a(w,v5,v6) \ a(x,y,z))) = a(w,v5,v6) * (1 / u).
(a(x,y,z) / u) * (u / a(x,y,z)) = 1.
1 = (a(x,y,z) / u) * (u / a(x,y,z)).
a(x,y,z) * (1 / u) = a(x,y,z) / u.
a(x,y,z) / u = a(x,y,z) * (1 / u).
(1 / x) \ a(y,z,u) = x * a(y,z,u).
a(x \ 1,x,a(y,z,u)) = 1.
L(a(x,y,z),u,u \ 1) = a(x,y,z).
a(x,y,L(z,u / z,w)) = L(a(x,y,z),u,w).
L(a(x,y,z) \ 1,u,w) \ v5 = L(a(x,y,z),u,w) * v5.
L(a(x,y,z) \ 1,u,w) = L(a(x,y,z),u,w) \ 1.
L(a(x,y,z),u,w) \ 1 = L(a(x,y,z) \ 1,u,w).
a(x,y,L(z,u / L(z,w,x),v5)) \ 1 = L(a(x,y,z) \ 1,u,v5).
a(((x / y) * (y / z)) \ x,u,w) = L(a(z,u,w),y,y \ x).
a(x,y,K(x \ z,u)) = a(x,y,K(z,u)).
a(x,y,K(z,u)) = a(x,y,K(x \ z,u)).
K(x,y) * z != K(x,L(y,u,w)) | z = a(w,u,K(y,x)).
K(x,y \ z) * a(y,u,K(z,x)) = K(x,L(y \ z,u,y)).
K(x,y \ z) * a(y,u,K(z,x)) = L(K(x,y \ z),u,y).
L(K(x,y \ z),u,y) = K(x,y \ z) * a(y,u,K(z,x)).
((x * y) * R(x,z,u)) / ((x * y) * x) = (x * (y * R(x,z,u))) / (x * (y * x)).
(x * (y * R(x,z,u))) / (x * (y * x)) = ((x * y) * R(x,z,u)) / ((x * y) * x).
((x / y) * R(y * (z * a(y \ x,y,z)),u,w)) / z = ((x / y) / z) * R(((x / y) / z) \ x,u,w).
(x / y) * R(y * (z * a(y \ x,y,z)),u,w) = x * ((x \ (x / y)) * R((x \ (x / y)) \ z,u,w)).
x * ((x \ (x / y)) * R((x \ (x / y)) \ z,u,w)) = (x / y) * R(y * (z * a(y \ x,y,z)),u,w).
(x / y) \ (x * z) = y * (z * a(y \ x,y,z)).
a(x,y,K(z,u / x)) = a(x,y,K(z,u)).
K(x,y \ z) / a(y,u,K(x,z)) = L(K(x,y \ z),u,y).
L(K(x,y \ z),u,y) = K(x,y \ z) / a(y,u,K(x,z)).
a(x,y,K(z,x \ u)) = a(x,y,K(z,u)).
a(x,y,K(z,u)) = a(x,y,K(z,x \ u)).
(x / y) \ (x * z) = y * (z * a(x / y,y,z)).
x \ ((x * y) * z) = y * (z * a(x,y,z)).
x * (y * (z * a(x,y,z))) = (x * y) * z.
(L(x,y,x) * y) * R(x,z,u) = x * (y * R(x,z,u)).
x * (y * R(x,z,u)) = (L(x,y,x) * y) * R(x,z,u).
L(R(x,y,R(x,z,u)),y,x) = x.
x = L(R(x,y,R(x,z,u)),y,x).
R(x,y,x \ R(x,z,u)) = x.
x * ((y * z) * a(x,y,z)) = (x * y) * z.
R(x,y,a(x,z,u)) = x.
a(x,y,L(L(z,u,x),w / L(z,u,x),v5)) \ 1 = L(a(x,y,z) \ 1,w,v5).
a(x,y,L(L(z,u,x),w,v5)) = a(x,y,L(z,w,v5)).
a(x,y,K(z,x \ u)) = 1 * a(x,y,K(z,u)).
1 * a(x,y,K(z,u)) = a(x,y,K(z,x \ u)).
a(x,y,L(z,u,x)) = a(x,y,z).
a(x,y,z) = a(x,y,L(z,u,x)).
(x * y) * a(x,z,u) = x * (y * a(x,z,u)).
a(x,y,a(x,z,u)) = 1.
L(a(x,y,z),u,x) = a(x,y,z).
a(L(x,y / x,z),u,w) = L(a(x,u,w),y,z).
a(((x / y) * (y / z)) \ x,u,w) = L(a(z,u,w),y,x / y).
a((x * (y / z)) \ (x * y),u,w) = L(a(z,u,w),y,x).
L(a(x,y,z),u,w) = a((w * (u / x)) \ (w * u),y,z).
L(T(x \ R(x,y,z),y),u,w) = a((w * (u / x)) \ (w * u),y,z).
T(L(x \ R(x,y,z),u,w),y) = a((w * (u / x)) \ (w * u),y,z).
x \ (y \ R(y * x,z,u)) = a(y * x,z,u).
a(x * y,z,u) = y \ (x \ R(x * y,z,u)).
R(x * (y \ (z \ R(z * y,u,w))),z / (y \ R(y * z,u,w)),y \ R(y * z,u,w)) = (x * (y \ R(y * z,u,w))) / z.
(x * y) \ R(x * y,z,u) = y \ (x \ R(x * y,z,u)).
x \ (y \ R(y * x,z,u)) = (y * x) \ R(y * x,z,u).
R(x * y,z,u) / (x * y) = y \ (x \ R(x * y,z,u)).
a(x \ 1,x,y) \ R((1 / x) \ y,z,u) = R(x * y,z,u).
R((1 / x) \ y,z,u) / R(x * y,z,u) = a(x \ 1,x,y).
R((1 / x) \ y,z,u) / R(x * y,z,(u / z) * z) = a(x \ 1,x,y).
R((1 / x) \ y,z,u) / ((x * y) * a(x * y,z,z * (u / z))) = a(x \ 1,x,y).
a(x \ 1,x,y) = R((1 / x) \ y,z,u) / ((x * y) * a(x * y,z,z * (u / z))).
(R((1 / x) \ y,z,u) * (z / (z * a(x * y,z,u)))) / (x * y) = a(x \ 1,x,y).
L(T(x,y) \ z,x,y) = (x * y) \ (y * z).
L(x,T(y,z),z) = L(x,y,z).
L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z).
L(x,T(y,z),z) = L(L(x,y,z),K(y,z),z * y).
L(L(x,y,K(y,z)),T(y,z),z) = L(L(x,y,z),K(y,z),z * y).
L(L(x,y,z),K(y,z),z * y) = L(L(x,y,K(y,z)),T(y,z),z).
L(L(x,y,K(y,z)),T(y,z),z) = L(L(x,y,z),z * y,K(y,z)).
L(L(x,y,z),z * y,K(y,z)) = L(L(x,y,K(y,z)),T(y,z),z).
(x * y) \ (y * (x * (K(x,y) * z))) = L(L(z,x,y),y * x,K(x,y)).
a(x,y,K(z,y)) * a(x,T(y,u),z) = a(x,T(y,u),T(z,y)).
R(x,T(y,z),z) = R(x,y,z).
x * T(a(x,T(y,z),z) * y,z) = R(x,y,z) * T(y,z).
R(x,y,z) * T(y,z) = x * T(a(x,T(y,z),z) * y,z).
a(x,y,K(z,T(y,u))) * a(x,T(y,u),z) = a(x,T(y,u),T(z,y)).
a(x,T(y,z),K(u,y)) = a(x,y,K(u,T(y,z))).
a(x,y,K(z,T(y,u))) = a(x,T(y,u),K(z,y)).
a(x,K(y,z) * T(y,u),K(u,y)) = a(x,y,K(u,T(y,z))).
a(x,y,K(z,T(y,u))) = a(x,K(y,u) * T(y,z),K(z,y)).
R(x,y,T(z,y)) * T(y,z) = x * T(a(x,T(y,z),z) * y,z).
R(x,T(y,z),T(z,y)) = R(x,y,T(z,y)).
x * T(a(x,y,z) * u,z) != w * T(u,z) | R(x,y,z) = w.
a(x,y,K(z,T(y,u))) = a(x,y,K(z,y)).
a(x,y,K(z,y)) = a(x,y,K(z,T(y,u))).
x * T(a(x,y,z) * u,z) = R(x,y,z) * T(u,z).
K(x,y \ R(y,K(z,u) * T(z,x),z)) = a(y,z,K(x,T(z,u))).
a(x / y,y,z) = a(y \ x,y,z).
x \ (y * R(y \ x,z,u)) = a(y \ x,z,u).
a(x \ y,z,u) = y \ (x * R(x \ y,z,u)).
R(x,y,T(z,y)) = R(x,y,z).
x * (a(x,y,z) * u) = R(x,y,z) * u.
R(x,y,z) * u = x * (a(x,y,z) * u).
K(x,y \ R(y,z,u)) = a(y,z,K(x,u)).
a(x,y,T(z,y)) = a(x,y,z).
a(x,y,z) = a(x,y,T(z,y)).
a(x,y,K(z,T(y,u))) = 1 * a(x,y,K(z,y)).
1 * a(x,y,K(z,y)) = a(x,y,K(z,T(y,u))).
a(x,y,K(z,K(u,y))) = 1.
a(x,y,K(z,K(y,u))) = 1.
1 = a(x,y,K(z,K(y,u))).
a(K(x,K(y,z)),y,u) = 1.
a(x,K(x,y),z) = 1.
L(R(x,y,T(z,y)),K(y,z),z * y) = R(x,T(y,z),T(z,y)).
R(x,T(y,z),T(z,y)) = L(R(x,y,T(z,y)),K(y,z),z * y).
a(x,y,z) = x \ R(x,y,z).
R(x,y,z) = x * a(x,y,z).
L(x,y,K(z,K(y,u))) = x.
L(x,K(y,z),y) = x.
L(x,y,K(y,z)) = x.
K(x,y) * (x * z) = T(x,y) * z.
L(x,K(y,z),z * y) = x.
K(x,y) * (T(y,x) * z) = y * z.
K(x,L(y,y,z)) = K(x,y).
K(x,y) = K(x,L(y,y,z)).
K(x * (y \ ((y / x) * z)),x) = K(z,x).
K(x,y) = K(y * (z \ ((z / y) * x)),y).
K(T(x * (y \ ((y / x) * z)),K(y,x)),x) = K(z,x).
T(x * y,K(z,x)) = x * T(y,K(z,x)).
x * T(y,K(z,x)) = T(x * y,K(z,x)).
K(x \ K(x,y),(z * x) * K(y,x)) = K(x \ K(x,y),x * (K(y,x) * z)).
K(x \ K(x,y),x * (K(y,x) * z)) = K(x \ K(x,y),(z * x) * K(y,x)).
x * (K(y,x) * (z * K(x,y))) = T(x * z,K(y,x)).
(x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)).
K(x,y) * (y * z) = y * (K(x,y) * z).
x * (K(y,x) * z) = K(y,x) * (x * z).
((x * y) / x) * L(z,y,K(x,y)) = y * (K(x,y) * z).
L(x,K(y,z),z) = L(x,z,K(y,z)).
x * a(x,y,K(z,y)) = L(x,K(z,y),y).
L(x,K(y,z),z) = x * a(x,z,K(y,z)).
x * (y \ z) != a(y,u,w) * z | x = y * a(y,u,w).
L(x,K(y,z),z) * (x \ u) = a(x,z,K(y,z)) * u.
a(x,K(y,x),z) \ u = a(z,x,K(y,x)) * u.
a(K(x,y),y,z) = a(y,K(x,y),z).
a(x,K(y,x),L(z,x,K(y,x))) = a(K(y,x),x,z).
a(K(x,y),y,z) = a(y,K(x,y),L(z,y,K(x,y))).
(K(x,y) * z) / (K(x,y) * L(z,y,K(x,y))) = a(y,K(x,y),L(z,y,K(x,y))).
a(x,y,z / (z * y)) = L(y,K(z,y),x) / (x \ (x / (y \ 1))).
L(x,K(y,x),z) / (z \ (z / (x \ 1))) = a(z,x,y / (y * x)).
a(x,y,z * ((y \ 1) / z)) = L(y,K(z,y),x) / (x \ (x / (y \ 1))).
L(x,K(y,x),z) / (z \ (z / (x \ 1))) = (y * a(z,x,x \ 1)) / y.
L(x,K(y,x),z) / (z \ (z / (x \ 1))) = (y * (x / (a(z,x,x \ 1) \ x))) / y.
L(x,K(y,x),z) / (z \ (z / (x \ 1))) = (y * (x / (x / a(z,x,x \ 1)))) / y.
T(x,a(y,x,z)) / (y \ (y / (x \ 1))) = (z * (x / (x / a(y,x,x \ 1)))) / z.
K(x * (K(y,z) / y),L(T(y,z),z / (z * y),x)) = K(y \ x,T(y,z)).
K(x \ y,T(x,z)) = K(y * (K(x,z) / x),L(T(x,z),z / (z * x),y)).
K(x * (K(y,z) / y),L(z * (y / z),z / (z * y),x)) = K(y \ x,T(y,z)).
K(x * (K(y,z) / y),L(z * (y / z),z / (z * y),x)) = K(y \ x,z * (y / z)).
K(x \ y,z * (x / z)) = K(y * (K(x,z) / x),L(z * (x / z),z / (z * x),y)).
K(x,R(y / x,(y / x) \ 1,z) \ (x \ y)) = K(z,(x / y) * (y / x)).
a(x / y,y / x,K(z,y)) = K(z,(y / x) * (x / y)).
a(x / y,y / x,K(z,y)) = K(y \ 1,z) * K(z,((1 / (x / y)) * x) \ 1).
a(x / y,y / x,K(z,y)) = K(((1 / (x / y)) * x) \ 1,z) \ K(y \ 1,z).
K(((1 / (x / y)) * x) \ 1,z) \ K(y \ 1,z) = a(x / y,y / x,K(z,y)).
K(x * (K(y,z) / y),L((z * y) / z,z / (z * y),x)) = K(y \ x,z * (y / z)).
L(a(x,y,z),u,w / u) = L(a(x,y,z),u,u \ w).
L(a(x,y,z),u,u \ w) = L(a(x,y,z),u,w / u).
a(x \ y,x,a(z,u,w)) \ a(z,u,w) = L(a(z,u,w),x,y / x).
x * (R(x,y,a(z,u,w)) \ v5) = a(x,y,a(z,u,w)) \ v5.
a(x,y,a(z,u,w)) \ v5 = x * (R(x,y,a(z,u,w)) \ v5).
R(x,y,a(z,u,w)) \ (x * v5) = a(x,y,a(z,u,w)) \ v5.
L(T(x,x \ 1) \ y,x,z / (z * x)) = K(z,x) * ((((z * x) / z) \ 1) * y).
K(x,y) * ((((x * y) / x) \ 1) * z) = L(T(y,y \ 1) \ z,y,x / (x * y)).
K(x * (y \ ((y / x) * z)),x) = K(z,L(x,x,y)).
K((x \ ((x / y) * z)) * T(y,u),y) = K(z,L(y,y,x)).
K((x \ ((x / y) * z)) * T(y,u),y) = K((y \ z) * y,L(y,y,x)).
K((x \ ((x / y) * z)) * T(y,u),y) = K((y \ z) * y,L(y,y,y \ x)).
K((x \ ((x / y) * z)) * T(y,u),y) = K((y \ z) * y,L(y,y,x / y)).
K((x \ ((x / y) * z)) * T(y,u),y) = K(y * L(y \ z,y,x / y),y).
K(x * L(x \ y,x,z / x),x) = K((z \ ((z / x) * y)) * T(x,u),x).
K(L(x / y,y,z / y) * y,y) = K((z \ ((z / y) * x)) * T(y,u),y).
K((x \ ((x / y) * z)) * T(y,u),y) = K(L(z / y,y,x / y) * y,y).
K(L(x / y,y,z / y) * T(y,u),y) = K((z \ ((z / y) * x)) * T(y,u),y).
L(R(x,T(y,z),T(z,y)),y,K(y,z)) = L(R(x,y,T(z,y)),K(y,z),z * y).
R(R(x,y,T(z,y)),K(y,z),z * y) = L(R(x,T(y,z),T(z,y)),y,K(y,z)).
R(R(x,y,T(z,y)),K(y,z),z * y) = R(L(x,y,K(y,z)),T(y,z),T(z,y)).
R(L(x,y,K(y,z)),T(y,z),T(z,y)) = R(R(x,y,T(z,y)),K(y,z),z * y).
R(R(x,y,K(y,z)),T(y,z),T(z,y)) = R(R(x,y,T(z,y)),K(y,z),z * y).
R(R(x,y,T(z,y)),K(y,z),z * y) = R(R(x,y,K(y,z)),T(y,z),T(z,y)).
(((x * y) * K(y,z)) * T(z,y)) / (y * z) = R(R(x,y,T(z,y)),K(y,z),z * y).
K(x,R(y / x,(y / x) \ 1,z) \ (x \ y)) = a(y / x,x / y,K(z,x)).
(x / y) * (K(y \ x,y) * (((y \ x) \ 1) * z)) = L(z,x \ y,x / y).
K(x \ y,x) * ((y / x) * z) = (y / x) * (K(x \ y,x) * z).
(x / y) * (K(y \ x,y) * z) = K(y \ x,y) * ((x / y) * z).
(x \ y) * L(z,x \ y,K(x \ y,x)) = (y / x) * (K(x \ y,x) * z).
(x / y) * ((y \ x) \ (K(y \ x,y) * z)) = L(z,y \ x,K(y \ x,y)).
(x \ y) * (T(x \ y,x) \ z) = (y / x) * ((x \ y) \ z).
(x / y) * ((y \ x) \ z) = (y \ x) * (T(y \ x,y) \ z).
K(x,L(x \ y,x \ y,z)) * z = (y / x) * ((x \ y) \ z).
K(x,L(x \ y,x \ y,(x \ y) \ z)) * z = (y / x) * ((x \ y) \ z).
K(x,L(x \ y,y / x,z)) = K(x,L(x \ y,x \ y,z)).
K(x,L(x \ y,x \ y,z)) = K(x,L(x \ y,y / x,z)).
K(x,L(y,z * K(y,x),u)) = K(x,L(y,z,u)).
K(x,L(y,z * K(y,x),u)) = (u * (z * K(y,x))) \ (u * z).
(x * (y * K(z,u))) \ (x * y) = K(u,L(z,y * K(z,u),x)).
K(x * T(y \ ((y / x) * z),K(y,x)),x) = K(z,x).
K(x * (y \ T((y / x) * z,K(y,x))),x) = K(z,x).
K(x,y) = K(y * (z \ T((z / y) * x,K(z,y))),y).
K((x \ y) \ T((y / x) * z,K(y,x)),x) = K(z,x).
K(x,y) = K((y \ z) \ T((z / y) * x,K(z,y)),y).
K(T((x / y) * z,x / y) / (y \ x),y) = K(z,y).
K(x * a(y,z,y),u) = K(x,u).
K(x,y) = K(x * a(z,u,z),y).
K(x * a(y,z,y),u) = K(x,u) * 1.
K(x,y) * 1 = K(x * a(z,u,z),y).
K(x,y) * (a(z,u,z) \ a(z,u,z)) = K(x * a(z,u,z),y).
K(x * a(y,z,y),u) = K(x,u) * (a(y,z,y) \ a(y,z,y)).
(a(x,y,x) \ K(z,u)) * a(x,y,x) = K(z * a(x,y,x),u).
(a(x,y,x) \ ((z / u) \ (T(z,u) / u))) * a(x,y,x) = K(z * a(x,y,x),u).
(((x / y) * a(z,u,z)) \ (T(x,y) / y)) * a(z,u,z) = K(x * a(z,u,z),y).
K(x * a(y,z,y),u) = (((x / u) * a(y,z,y)) \ (T(x,u) / u)) * a(y,z,y).
a(x,K(y,z) * T(y,u),K(u,y)) = a(x,T(y,z),K(u,y)).
a(x,T(y,z),K(u,y)) = a(x,K(y,z) * T(y,u),K(u,y)).
((x / y) * a(z,u,z)) \ ((T(x,y) / y) * a(z,u,z)) = K(x * a(z,u,z),y).
a(x / ((y * z) \ y),u,T(w,z \ 1)) = a(L(z \ 1,z,y) \ x,u,w).
a(L(x \ 1,x,y) \ z,u,w) = a(z / ((y * x) \ y),u,T(w,x \ 1)).
(x \ y) * L(z,x \ y,K(x \ y,x)) = K(x \ y,x) * ((y / x) * z).
L(x,y / z,K(z \ y,z)) = L(x,z \ y,K(z \ y,z)).
L(x,y \ z,K(y \ z,y)) = L(x,z / y,K(y \ z,y)).
L(x,K(y,z),y * K(z,y)) = x * a(x,y,K(y,z)).
x * a(x,y,K(y,z)) = L(x,K(y,z),y * K(z,y)).
L(x,K(y \ z,y),z / y) = L(x,y \ z,K(y \ z,y)).
L(x,K(y,z),y * K(z,y)) = L(x,y,K(y,z)).
L(x,y,K(y,z)) = L(x,K(y,z),y * K(z,y)).
L(x,K(y,z),T(y,z \ y)) = L(x,y,K(y,z)).
L(x,K(y,T(z,u)),T(y,u)) = L(x,y,K(y,z)).
L(x,T(y,z),K(y,T(u,z))) = L(x,y,K(y,u)).
L(x,T(y,z),K(y,u)) = L(x,y,K(y,T(u,z))).
x * a(x,y,K(y,T(z,u))) = L(x,T(y,u),K(y,z)).
L(x,T(y,z),K(y,u)) = x * a(x,y,K(y,T(u,z))).
a(x,y,K(y,T(z,u))) * x = L(x,T(y,u),K(y,z)).
a(x,y,T(K(y,z),u)) * x = L(x,T(y,u),K(y,z)).
a(T(x,y),z,K(z,u)) * x = L(x,T(z,y),K(z,u)).
K(x,y) * (K(y,L(x,z,u)) * w) = a(u,z,K(x,y)) * w.
a(x,y,K(z,u)) * w = K(z,u) * (K(u,L(z,y,x)) * w).
K(x \ 1,y) * K(y,((1 / (z / x)) * z) \ 1) = K(y,(x / z) * (z / x)).
(x * T(y,z)) \ ((x * (K(y,z) * T(y,u))) * K(u,y)) = a(x,T(y,z),K(u,y)).
T(x,R(y \ 1,y,z)) = T(x,L(y \ 1,y,z)).
T(x,L(y \ 1,y,z)) = T(x,R(y \ 1,y,z)).
T(x,R(1 / y,y,z)) = T(x,L(y \ 1,y,z)).
T(x,R(T(1 / y,1),y,z)) = T(x,L(y \ 1,y,z)).
T(x,L(y \ 1,y,z)) = T(x,R(T(1 / y,1),y,z)).
T(x,R(1 / (1 / (1 / y)),y,z)) = T(x,L(y \ 1,y,z)).
T(x,T(y,z) / (y * (1 / (1 / z)))) = T(x,L(z \ 1,z,y)).
T(x,L(y \ 1,y,z)) = T(x,T(z,y) / (z * (1 / (1 / y)))).
T(x,T(y,y * z) / (y * (1 / (1 / z)))) = T(x,L(z \ 1,z,y)).
T(x,T(y,y * z) / (y * (1 / (1 / z)))) = T(x,L(1 / z,z,y)).
K(T(x,y / z) / (z \ y),u) = K((z \ y) \ T(x,K(y,z)),u).
K(T(x,y) / y,z) = K(y \ x,z).
K(x / T(y,x),z) = K(y \ x,z).
K(L(x,y,x) \ z,u) = K(x \ z,u).
K(x \ y,z) = K(L(x,u,x) \ y,z).
K(a(x,y,x) \ z,u) = K(z,u).
K(a(x,y,x) \ z,u) = K(z,a(x,y,x) \ u).
K(x,a(y,z,y) \ u) = K(a(y,z,y) \ x,u).
(a(x,y,x) / (z * u)) / (a(x,y,x) / (u * z)) = K(u,a(x,y,x) \ z).
((x / y) * a(z,u,z)) \ (T(x * a(z,u,z),y) / y) = K(x * a(z,u,z),y).
R(x,x \ y,a(z,z \ 1,K(y,u))) \ (((z * (u / (z * u))) \ y) / (u \ ((z \ 1) * (z * u)))) = (x \ y) * K(u \ ((z \ 1) * (z * u)),y).
((x * (y / (x * y))) \ z) * (x * (y / (x * y))) = T(z,a(x,x \ 1,y)).
(x \ 1) \ T(y,a(x,x \ 1,z)) = T(y / (x \ 1),R(x \ 1,x,z)).
T(x,a(y \ 1,y,z)) = T(x,a(y,y \ 1,z)).
a(x \ 1,x,y) \ a(z / (z * x),x,y) = a(x,x \ 1,K(z,y)).
K(x \ ((y \ 1) * (y * x)),z) = a(y,y \ 1,K(z,x)).
a(x / y,(x / y) \ 1,K(z,y)) = K(((1 / (x / y)) * x) \ 1,z) \ K(y \ 1,z).
x * a(y,y \ 1,K(x,z)) = T(x,a(y \ 1,y,z)).
a(x \ 1,x,K(y,z)) = a(x,x \ 1,K(y,z)).
((x \ 1) \ y) \ (x * (y * T(x * (y / (x * y)),z))) = a(x,x \ 1,K(y,z)).
((x \ 1) \ y) * a(x,x \ 1,K(y,z)) = x * (y * T(x * (y / (x * y)),z)).
a(x,x \ 1,K(y,z)) = K(a(x \ 1,x,y),z).
a(x,x \ 1,K(x * y,z)) = a(x,x \ 1,K(y,z)).
a(x,x \ 1,K(y,z)) = a(x,x \ 1,K(x * y,z)).
a(x,x \ 1,K(x * y,z)) = K(y,a(x,x \ 1,z)).
K(x,a(y,y \ 1,z)) = a(y,y \ 1,K(y * x,z)).
a(x,x \ 1,K(x * T(y,a(x,x \ 1,z)),z)) = K(y,a(x,x \ 1,z)).
K(x,a(y,y \ 1,z)) = a(y,y \ 1,K(y * T(x,a(y,y \ 1,z)),z)).
a(x,x \ 1,K(x * (a(x,x \ 1,y) \ z),y)) = K(z,a(x,x \ 1,y)).
K(x,a(y,y \ 1,z)) = a(y,y \ 1,K(y * (a(y,y \ 1,z) \ x),z)).
L(x,y,T(z,u \ z)) = L(x,y,z * K(u,z)).
T(x,y) / ((L(y,z,T(x,u \ x)) * x) \ x) = x * L(y,z,x * K(u,x)).
(L(x,y,T(z,u \ z)) * z) \ z = (L(x,y,z * K(u,z)) * z) \ z.
(L(x,y,z * K(u,z)) * z) \ z = (L(x,y,T(z,u \ z)) * z) \ z.
R(x,T(y,z),T(z,y)) * T(y,z) = x * T(a(x,T(y,z),z) * y,z).
x * T(a(x,T(y,z),z) * y,z) = R(x,T(y,z),T(z,y)) * T(y,z).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = T(y * z,a(x,y,y)).
T(x * y,a(z,x,x)) = (1 / (z \ (z / x))) * (y / a(x \ z,x,x \ 1)).
T(x / (y \ 1),L(y \ 1,z,u)) = (y \ 1) \ T(x,a(u,z,y)).
T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1).
T(x,L(y,z,u) \ 1) = T(x,L(y \ 1,z,u)).
T(x,L(L(y \ 1,z,u),y,x)) = T(x,L(y,z,u) \ 1).
T(x,L(L(y \ 1,z,u),y,w / y)) = T(x,L(L(y \ 1,z,u),y,w)).
K(x * (K(y,z) / y),L((z * y) / z,z / (z * y),x)) = K(y \ x,(z * y) / z).
K(x * (K(y,z) / y),y * K(z,y)) = K(y \ x,(z * y) / z).
K(x \ y,(z * x) / z) = K(y * (K(x,z) / x),x * K(z,x)).
K((x \ K(x,y)) * z,(y * x) / y) = K(x \ z,(y * x) / y).
K(x \ y,(z * x) / z) = K((x \ K(x,z)) * y,(z * x) / z).
R(x,K(y,z),z * y) = L(x,K(y,z),z * y).
L(x,K(y,z),z * y) = R(x,K(y,z),z * y).
x * (y * z) != (u * (z * y)) * K(y,z) | x = R(u,K(y,z),z * y).
L(x,K(y,z),z * y) * (y * z) = (x * (z * y)) * K(y,z).
L(a(x,y,a(z,u,w)) \ v5,a(x,y,a(z,u,w)),x) = R(x,y,a(z,u,w)) \ (x * v5).
x * a(x,y,a(z,u,w)) = R(x,y,a(z,u,w)).
x * ((L(a(y,z,u),w,x) \ u) / L(u,z,y)) = R(x,w,a(y,z,u)).
K(x,L(x \ y,y / x,(x \ y) \ z)) * z = (y / x) * ((x \ y) \ z).
(x / y) * ((y \ x) \ z) = K(y,L(y \ x,x / y,(y \ x) \ z)) * z.
K(x,x * y) * (T(x * y,x) * z) != (x * y) * u | L(z,K(x,y),y * x) = u.
K(x,y) * T(z * (y * x),K(x,y)) = L(z,K(x,y),y * x) * (x * y).
R(x,y,a(z,u,T(w,y))) = x * ((L(a(z,u,w),y,x) \ w) / L(w,u,z)).
T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)).
T(x,(y * (z \ R(z,u,w))) / (y / z)) = 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)).
R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z).
a(x,y,T(z,u \ x)) * ((z * x) \ x) = (L(z,y,x * K(u,x)) * x) \ x.
a(x * K(y,x),z,u) = a(x,z,T(u,y \ x)).
a(T(x,y) * (x \ y),z,u) = a(y,z,T(u,x \ y)).
a(x,y,T(z,u \ x)) = a(T(u,x) * (u \ x),y,z).
a((x \ y) * T(x,y),z,u) = a(y,z,u).
a((x \ y) * T(x,y),z,u) = a(x \ (x * y),z,u).
a((x * y) / x,z,T(u,x)) = a((x \ y) * T(x,y),z,u).
a(x * y,z,T(u,y \ 1)) = a(y * x,z,u).
a(x * (a(y,x,x \ 1) * z),u,T(w,1 / ((y * x) \ y))) = a(z * (1 / ((y * x) \ y)),u,w).
a(x * y,z,T(T(u,x),w)) = a(y * x,z,T(u,w)).
a((x * y) / x,z,T(u,x)) = a((((y * x) / y) \ y) * x,z,u).
a((((x * y) / x) \ x) * y,z,u) = a((y * x) / y,z,T(u,y)).
a(x * y,z,T(u,x)) = a(y * x,z,u).
a(x * y,z,u) = a(y * x,z,T(u,y)).
a((x \ y) * x,z,u) = a(y,z,T(u,x)).
T(T(x \ R(x,y,z),u),y) = a((u \ x) * u,y,z).
a((x \ y) * x,z,u) = T(T(y \ R(y,z,u),x),z).
((x \ y) * x) \ R((x \ y) * x,z,u) = T(y \ R(y,z,u),x).
(x \ R(y,z,u)) / (x \ y) = T(y \ R(y,z,u),x).
(x \ R(y,z,u)) / (x \ y) = T(y,x) \ R(T(y,x),z,u).
R(T(x,y),z,u) / R(y,y \ x,y) = y \ R(x,z,u).
a(K(x,K(y,z)),y,u) = a(u,y,K(x,K(y,z))).
K(x,y) * (K(y,L(x,x,T(z,u))) * z) = L(z,T(x,u),K(x,y)).
K(x,K(y,z)) * K(y,K(z,L(x,y,u))) = a(K(x,K(y,z)),y,u).
(x * K(y,z)) * T(z,y) = (x * T(z,y)) * K(y,z).
(x * T(y,z)) * K(z,y) = (x * K(z,y)) * T(y,z).
K(x,y) * (K(y,L(x,T(x,z),u)) * u) = L(u,T(x,z),K(x,y)).
T(x,y) \ R(T(x,y),z,u) = T(x \ R(x,z,u),y).
T(x,y) \ R(T(x,y),z,u) = y \ (R(x,z,u) * (x \ y)).
x \ (R(y,z,u) * (y \ x)) = T(y,x) \ R(T(y,x),z,u).
(R(x,y,z) * u) / T(x,u) = R(x,y,z) * (x \ u).
K(x,K(y,z)) * K(y,K(L(z,y,u),x)) = a(K(x,K(y,z)),y,u).
a(x,y,T(z,u)) * ((z * x) \ w) = (L(z,y,T(x,u)) * x) \ w.
(L(x,y,T(z,u)) * z) \ w = a(z,y,T(x,u)) * ((x * z) \ w).
a(x / ((1 / y) * z),u,T(w,y \ z)) = a(((1 / y) * z) \ x,u,w).
a(((1 / x) * y) \ z,u,w) = a(z / ((1 / x) * y),u,T(w,x \ y)).
a(x / ((y * z) \ y),u,T(w,(y * z) \ y)) = a(L(z \ 1,z,y) \ x,u,w).
a(K(x,T(y,z)),u,w) = a(K(x,y),u,T(w,z)).
x * (a(y,z,T(x,u)) \ w) = L(x,z,T(y,u)) * w.
a(x / y,z,T(u,y)) = a(y \ x,z,u).
a(x \ y,z,u) = a(y / x,z,T(u,x)).
a(T(x,y),z,u) = a(x,z,T(u,y)).
a(T(x,y),z,u) * K(u,K(w,u)) = a(x,z,T(u,y)).
a(x,y,T(z,u)) = a(T(x,u),y,z) * K(z,K(w,z)).
(x * K(y,y \ z)) * ((y \ z) * y) = (x * T(z,y)) * K(y,z).
(x * K(y,z)) * (z * y) = (x * (z * y)) * K(y,z).
(x * (y * z)) * K(z,y) = (x * K(z,y)) * (y * z).
K(x,y) * (K(x,L(y,T(x,z),u)) \ u) = L(u,T(x,z),K(x,y)).
R(K(x,y),T(x,z),u) = K(x,L(y,T(x,z),u)).
K(x \ y,L(x,y / x,(x \ y) \ z)) \ z = (y / x) * ((x \ y) \ z).
K(x,T(L(T(y,z),T(x,z),u),z)) = R(K(x,y),T(x,z),u).
R(K(x,y),T(x,z),u) = K(x,T(L(T(y,z),T(x,z),u),z)).
R(K(x \ y,x),y / x,z) = K(x \ y,L(x,y / x,z)).
R(T(x,x * (x \ (R(x,y,z) \ u))),y,z) = R(T(x,x \ u),y,z).
(x * (R(x,y,z) \ u)) \ x = R(T(x,u),y,z) / R(u,u \ x,u).
(x * y) / R(T(x,y),z,u) = x * (R(x,z,u) \ y).
R(T(x,y * R(x,z,u)),z,u) = R(T(x,x * y),z,u).
R(T(x,x * y),z,u) = R(T(x,y * R(x,z,u)),z,u).
(R(x,y,z) * u) / T(x,x * (x \ u)) = R(x,y,z) * (x \ u).
T(x,x * (R(x,y,z) \ u)) = T(x,u).
T(x,y) = T(x,x * (R(x,z,u) \ y)).
T(x,R(x,y,z) * u) = T(x,x * u).
T(x,R(x,y,z) * u) = L(T(x,u),u,x).
L(T(x,y),y,x) = T(x,R(x,z,u) * y).
T(L(x,y,x),y) = T(x,R(x,z,u) * y).
T(a(x,y,x) \ x,y) = T(x,R(x,z,u) * y).
T(x,R(x,y,z) * u) = T(a(x,u,x) \ x,u).
T(x,R(x,y,z) * u) = a(x,u,x) \ T(x,u).
K((x \ y) \ z,x) = K(x * (y \ z),x).
K(x \ (y * z),y) = K(y * (x \ z),y).
K(x * (y \ z),x) = K(y \ (x * z),x).
K(R(x,x \ y,z) \ (z * y),z) = K(z * (x \ y),z).
K(x,L(y,y,z)) * z = y * (T(y,x) \ z).
(x * (T(x,y) \ z)) / z = K(y,L(x,x,z)).
a(x,y,z) = L(x,y,K(y,z)) \ R(x,y,z).
L(x,y,K(y,z)) \ R(x,y,z) = a(x,y,z).
R(x,y,z) = L(x,y,K(y,z)) * a(x,y,z).
R(x,y,z) = L(x,y,K(y,z)) / (a(x,y,z) \ 1).
L(x,y,K(y,z)) / (a(x,y,z) \ 1) = R(x,y,z).
a(x,y,z) \ R(x,y,z) = L(x,y,K(y,z)).
a(x,y,z) \ R(x,y,z) = x * a(x,y,K(y,z)).
(((x * y) * T(z,y)) * K(y,z)) / (y * z) = R(R(x,y,T(z,y)),K(y,z),z * y).
R(x,K(y,z),z * y) * (y * z) = (x * (z * y)) * K(y,z).
R(x,K(y,z),z * y) = R(x,z * y,K(y,z)).
R(x,y * z,K(z,y)) = R(x,K(z,y),y * z).
K(x,x * y) * (T(x * y,x) * z) = (x * y) * L(z,K(x,y),y * x).
(x * y) * L(z,K(x,y),y * x) = K(x,x * y) * (T(x * y,x) * z).
K(R(x,x \ y,z) \ (z * y),z) = K((x \ y) * z,z).
K((x \ y) * z,z) = K(R(x,x \ y,z) \ (z * y),z).
K(x \ (y * z),z) = K(x \ (z * y),z).
K(x \ (y * z),y) = K(x \ (z * y),y).
K((x / y) \ z,y) = K(x \ (y * z),y).
K((x / y) \ z,y) = K((y \ x) \ z,y).
K((x \ y) \ z,x) = K((y / x) \ z,x).
K(T(x,y) \ z,y) = K(x \ z,y).
K(x \ y,z) = K(T(x,z) \ y,z).
K(T(x,y) \ z,y) = T(y,x \ z) \ y.
T(x,T(y,x) \ z) = T(x,y \ z).
T(x,K(x,y) * (y \ z)) = T(x,T(y,x) \ z).
T(x,y \ (K(x,y) * z)) = T(x,T(y,x) \ z).
T(x,L(y,z,K(x,u))) = T(x,y).
T(x,y) = T(x,L(y,z,K(x,u))).
T(x,L(y,z,K(x,u))) = x * K(x,y).
K(x,L(y,z,K(x,u))) = K(x,y).
K(x,y) = K(x,L(y,z,K(x,u))).
L(K(x,y),z,K(x,u)) = K(x,y).
a(K(x,y),z,K(x,u)) = 1.
K(x,a(K(x,y),z,u)) = 1.
x * a(x,K(y,z),z * y) = R(x,z * y,K(y,z)).
K(x,L(y,y,T(y,x) \ z)) = (y * (T(y,x) \ z)) / z.
(x * (T(x,y) \ z)) / z = K(y,L(x,x,T(x,y) \ z)).
K(x,L(y,y,z)) * (T(y,x) * z) = y * z.
x * y = K(z,L(x,x,y)) * (T(x,z) * y).
K(T(x,y),L(T(z,y),T(x,y),u)) = R(K(x,z),T(x,y),u).
(x * y) / (T(x,z) * y) = K(z,L(x,x,y)).
R(K(x,y),x,z) \ 1 = K(y,L(x,x,z)).
K(x,K(y,z)) * K(K(y,L(z,y,u)),x) = a(K(x,K(y,z)),y,u).
R(K(x,y),x,z) \ 1 = L(K(y,x),x,z).
K(x / y,L(z,x / y,y)) = K((y / x) \ 1,z).
R(K(x \ y,x),y / x,z) = K(y / x,L(x,y / x,z)).
K(x,L(y,x,z)) \ (T(x,y) * z) = x * z.
(T(x,y) * z) / (x * z) = K(x,L(y,x,z)).
R(K(x,y),x,z) = K(x,L(y,x,z)).
L(x,y * z,K(z,z * y)) = L(x,K(z,y),y * z).
K(x,y) * ((y * x) * T(z,x * y)) = L(z,K(x,y),y * x) * (x * y).
a(x,y,z) \ R(x,y,z) = x * K(R(x,y,z) \ x,y).
x * K(R(x,y,z) \ x,y) = a(x,y,z) \ R(x,y,z).
x * T(y * a(x,T(y,z),T(z,u)),z) = R(x,T(y,z),T(z,u)) * T(y,z).
L(x,y,K(z \ 1,u \ 1)) = L(x,y,K(z \ 1,u \ z)).
L(x,y,K(z \ 1,u \ z)) = L(x,y,K(z \ 1,u \ 1)).
(R((1 / x) \ y,z,u) * (z / (z * a((1 / x) \ y,z,u)))) / (x * y) = a(x \ 1,x,y).
x * (y * a(x,y,z)) = R(x,y,z) * y.
x \ R(x,(1 / y) * (z * y),((1 / y) * (z * y)) \ (y * z)) = a(x,(1 / y) * (z * y),z \ ((1 / y) \ z)).
(K(x,y) * L(y,z,T(u,w))) \ (y * K(x,y)) = a(u,z,T(y,w)).
L(x,T(x,y),z) = L(x,x,T(z,y)).
L(x,x,T(y,z)) = L(x,T(x,z),y).
L(x,y,K(z,z \ u)) = L(x,y,K(z,u)).
L(x,y,K(z,u)) = L(x,y,K(z,z \ u)).
R(x,y,z) * (y / (y * a(x,y,z))) = x.
x = R(x,y,z) * (y / (y * a(x,y,z))).
(T(x,y) * T(z,x)) / (z * x) = R(K(x,y),x,z).
R(x,y,z) * (x \ y) = y * a(x,y,z).
x * a(y,x,z) = R(y,x,z) * (y \ x).
x \ R(x,y,y \ z) = a(x,y,z / y).
x * y != y * a(z,u,y \ w) | x = a(z,u,w / y).
a(x,y,T(z,u)) \ z = L(z,y,T(x,u)).
L(x,y,T(z,u)) = a(z,y,T(x,u)) \ x.
L(x,y,K(z,z * u)) = L(x,y,K(z,u)).
L(x,K(y,z),z * y) = L(x,z * y,K(y,z)).
L(x,y * z,K(z,y)) = L(x,K(z,y),y * z).
L(x,y,K(z \ u,z)) = L(x,y,K(u,z)).
L(x,y,K(z,u)) = L(x,y,K(u \ z,u)).
R(x,y,z) / a(x,y,y * (z / y)) = x.
K(x,R(K(x,y),z,T(u,z))) = K(x,a(K(x,y),z,u)).
x * a(x,y,y * z) = R(x,y,z * y).
R(K(x,y),x,T(z,x)) = R(K(x,y),x,z).
x * a(x,y * z,K(z,y)) = R(x,y * z,K(z,y)).
R(x,y * z,K(z,y)) = x * a(x,y * z,K(z,y)).
x * a(x,K(y,z),z * y) = R(x,K(y,z),z * y).
R(x,K(y,z),z * y) = x * a(x,K(y,z),z * y).
R(x,y,T(a(z,u,w),y)) = x * ((L(a(z,u,w),y,x) \ w) / L(w,u,z)).
R(x,y,T(z,y)) != x * u | a(x,y,z) = u.
R(x,y,T(z,y)) / a(x,y,z) = x.
x * (R(x,y,T(z,y)) \ u) = a(x,y,z) \ u.
a(x,y,z) \ u = x * (R(x,y,T(z,y)) \ u).
R(x,y,T(z,y)) = x * a(x,y,z).
x * a(x,y,z) = R(x,y,T(z,y)).
T(T(x \ R(x,y,z),u),y) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = T(T(x \ R(x,y,z),u),y).
T(((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x),u) = a((x * (y / z)) \ (x * y),u,w).
a((x * (y / z)) \ (x * y),u,w) = T(((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x),u).
(x \ R(x,y,z)) * y = y * a(x,y,z).
x * a(y,x,z) = (y \ R(y,x,z)) * x.
a(x,y,z) = T(x \ R(x,y,z),y).
a(R(x,y,x),z,u) = a(x,z,u).
a(x,y,z) = a(R(x,u,x),y,z).
a(L(x,y,x),z,u) = a(x,z,u).
a(x,y,z) = a(L(x,u,x),y,z).
L(x,y,T(z,z \ u)) = L(x,y,T(z,u)).
a(L(x,y,x),z,u) = u / L(u,z,x).
L(x,y,K(z,u * z)) = L(x,y,K(z,u)).
L(x,y,K(z,u)) = L(x,y,K(z,u * z)).
L(x,y,K(z * u,z)) = L(x,y,K(u,z)).
L(x,y,T(z,u) / u) = L(x,y,u \ z).
L(x,y,R(z,u,z)) = L(x,y,z).
L(x,y,L(z,u,z)) = L(x,y,z).
L(x,y,z) = L(x,y,L(z,u,z)).
L(x,y,z * a(u,w,u)) = L(x,y,z).
T(x,R(x,y,z) * u) = (T(x,u) / w) * (w / a(x,u,x)).
(T(x,y) / z) * (z / a(x,y,x)) = T(x,R(x,u,w) * y).
a(x,y,R(x,z,u)) = a(x,y,x).
a(x,y,x) = a(x,y,R(x,z,u)).
R(a(x,y,x),z,u) = a(x,y,x).
L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)).
((a(x,y,x) * z) * (u * w)) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,L(u,z,a(x,y,x)),w).
(x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,L(w,u,a(y,z,y))).
(a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u).
x \ (a(y,z,y) \ u) = (a(y,z,y) * x) \ u.
(a(x,y,x) * z) * u = a(x,y,x) * (z * u).
L(x,y,a(z,u,z)) = x.
L(x,y,a(z,u,z)) = T(x,a(z,u,z)).
L(x,y,a(z,u,z)) = (a(z,u,z) \ x) * a(z,u,z).
(a(x,y,x) \ z) * a(x,y,x) = L(z,u,a(x,y,x)).
T(x * a(y,z,y),u) / w = (T(x,u) / w) * a(y,z,y).
T(x * a(y,z,y),u) = a(y,z,y) * T(x,u).
T(x * a(y,z,y),T(u,a(y,z,y))) = a(y,z,y) * T(x,u).
a(x,y,K(z * (a(x,y,u) \ w),u)) = a(x,y,K(z * T(w,a(x,y,u)),u)).
a(x,y,K(z * T(u,a(x,y,w)),w)) = a(x,y,K(z * (a(x,y,w) \ u),w)).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
K(x,y) * T(z,x) = T(K(x,y) * z,x).
T(x * K(y,z),z) = T(x,z) * K(y,z).
T(x,y) * K(z,y) = T(x * K(z,y),y).
((x / T(y,x)) * y) * K(z,y) = T(x * K(z,y),y).
T(x * K(y,z),z) = ((x / T(z,x)) * z) * K(y,z).
((x / T(y,x)) * K(z,y)) * y = T(x * K(z,y),y).
(x * K(y,z)) / T(z,x) = (x / T(z,x)) * K(y,z).
(x / T(y,x)) * K(z,y) = (x * K(z,y)) / T(y,x).
(L(x,x \ y,x) \ y) * K(z,x) = (y * K(z,x)) / T(x,y).
(x * K(y,z)) / T(z,x) = (L(z,z \ x,z) \ x) * K(y,z).
L(x,x \ y,x) \ (y * K(z,x)) = (y * K(z,x)) / T(x,y).
K(x \ K(x,y),K(y,x) * (x * z)) = K(x \ K(x,y),(z * x) * K(y,x)).
K(x \ K(x,y),(z * x) * K(y,x)) = K(x \ K(x,y),K(y,x) * (x * z)).
L(x,y,K(z,y)) * (y * K(z,y)) = (x * y) * K(z,y).
L(x,y,K(z,y)) * (y * K(z,y)) = K(z,y) * T(x * y,K(z,y)).
T(x * (y * z),K(z,y)) = (y * z) * T(x,z * y).
(x * y) * T(z,y * x) = T(z * (x * y),K(y,x)).
T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y).
(x * y) * T(z,y * x) = T(z * (x * y),K(x,y)).
T(x * (y * z),K(y * z,z)) = (y * z) * T(x,z * y).
T(x * y,K(y,z)) = y * T(x,T(y,z)).
x * T(y,T(x,z)) = T(y * x,K(x,z)).
L(x,y,K(z,y)) * (y * K(z,y)) = K(z,y) * T(x * y,K(y,z)).
K(x,y) * T(z * y,K(y,x)) = L(z,y,K(x,y)) * (y * K(x,y)).
x * T(y,x * K(z,x)) = T(y * x,K(x,z)).
x * (y * K(x,K(y,z))) = T(x * y,K(y,z)).
x * (y * K(K(z,y),x * y)) = T(x * y,K(y,z)).
K(x,y) * ((z * y) * K(y,x)) = z * (y * K(K(x,y),z * y)).
x * (y * K(K(z,y),x * y)) = K(z,y) * ((x * y) * K(y,z)).
x * (y * K(K(z,y),x * T(y,z))) = K(z,y) * ((x * y) * K(y,z)).
((x * y) / x) * (R((x * y) / x,K(y,x),z) \ z) = z * a(y,K(x,y),K(y,x) * z).
(a(x,y,x) / (z * u)) / (a(x,y,x) / (u * z)) = K(a(x,y,x) \ u,z).
L(x,(x \ y) * K(z,x),x) \ (y * K(z,x)) = (y * K(z,x)) / T(x,y).
L(x,a(y,z,y) * u,w) = L(x,u,w).
L(x,y,z) = L(x,a(u,w,u) * y,z).
L(x,T(y,a(z,u,z)),w) = L(x,a(z,u,z) * y,w).
L(x,a(y,z,y) * u,w) = L(x,T(u,a(y,z,y)),w).
L(x,T(y * a(z,u,z),y),w) = L(x,T(y,a(z,u,z)),w).
a(x,a(y,z,y) * u,w) = a(x,u,w).
a(x,y,z) = a(x,a(u,w,u) * y,z).
a(x,T(y,a(z,u,z)),w) = a(x,a(z,u,z) * y,w).
a(x,a(y,z,y) * u,w) = a(x,T(u,a(y,z,y)),w).
a(x,T(y * a(z,u,z),y),w) = a(x,T(y,a(z,u,z)),w).
L(x,y * K(z,x),x) = L(x,y,x).
L(x,y * K(z,x),x) = K(y,x) * T(x,x * y).
K(x,y) * T(y,y * x) = L(y,x * K(z,y),y).
K(K(x,y) * z,y) * T(y,y * z) = L(y,z * K(x,y),y).
T(x,(y * (z \ R(z,u,w))) / (y / z)) = T(x,R(T(z,z \ y),u,w)).
K(x,y \ R(y,K(z,u) * T(z,x),z)) = K(x,y \ R(y,z,T(z,u))).
T(x,(y * (z \ R(z,u,w))) / (y / z)) = T(x,R(T(z,y / z),u,w)).
a(x,x \ y,a(x,z,u)) * a(x,z,K(u,y)) = a(x,z,K(u,x \ y)).
a(x,y,K(z,x \ u)) = a(x,x \ u,a(x,y,z)) * a(x,y,K(z,u)).
a(x,y,K(z,K(u,w))) * a(x,y,K(u,w)) = a(x,y,K(u,T(w,z))).
a(x,y,K(z,T(u,w))) = a(x,y,K(w,K(z,u))) * a(x,y,K(z,u)).
a(x,y,L(z,u,K(w,u))) = a(x,y,z).
x * a(x,y,K(z,y)) = L(x,y,K(z,y)).
L(x,y,K(z,y)) = x * a(x,y,K(z,y)).
a(x,y,K(z,y)) * x = L(x,y,K(z,y)).
L(x,y,K(z,y)) = a(x,y,K(z,y)) * x.
a(K(x,y),y,z) \ u = a(z,y,K(x,y)) * u.
a(x,y,K(z,K(u,w))) * a(x,y,K(u,w)) = K(u,a(x,y,T(w,z))).
K(x,y \ R(y,K(z,u) * T(z,x),z)) = K(x,y \ R(y,T(z,u),z)).
K(x,y \ R(y,z * K(u,x),u)) = K(x,y \ R(y,z,u)).
K(x,y \ R(y,z,u)) = K(x,y \ R(y,z * K(u,x),u)).
K(x,y \ R(y,z * K(u,x),u)) = R(y,z,K(u,x)) \ y.
x \ R(x,y * K(z,u),K(u,z)) = R(x,y,K(z,u)) \ x.
R(x,y,K(z,u)) \ x = x \ R(x,y * K(z,u),K(u,z)).
R(x,y * K(z,u),K(u,z)) / x = R(x,y,K(z,u)) \ x.
K(((x * y) \ x) \ 1,z) * (K(z,y) * u) = a(K(z,y),y,x) \ u.
a(x,y,K(K(z,u),w)) * a(x,y,K(w,z)) = K(w,a(x,y,T(z,u))).
K(x,a(y,z,T(u,w))) = a(y,z,K(K(u,w),x)) * a(y,z,K(x,u)).
T(x,T(y,y * z) / u) = T(x,T(y,z) / u).
T(x,T(y,T(z,u)) \ T(z,u)) = T(x,T(z,z * u) / y).
T(x,T(y,y * z) / u) = T(x,T(u,T(y,z)) \ T(y,z)).
(K(x,y) * (y \ (y * z))) / (K(x,y) * L(z,y,K(x,y))) = a(y,K(x,y),L(z,y,K(x,y))).
x \ (K(y,x) * z) = K(y,x) * (x \ z).
x \ (y * K(z,T(x,y))) = K(z,x) * (x \ y).
x \ (y * (y / (y * K(x,z)))) = K(z,x) * (x \ y).
x * T(y,x * K(z,x)) = y * (x * K(y,K(x,z))).
x * T(y,x * K(z,x)) = y * (x * K(y,K(z,x))).
x * (y * K(x,K(z,y))) = y * T(x,y * K(z,y)).
(x * K(y,z)) * K(T(z,u),y) = x * K(u,K(y,z)).
(x * K(y,z)) * T(K(z,y),u) = x * K(u,K(y,z)).
x * K(y,K(z,u)) = (x * K(z,u)) * T(K(u,z),y).
(x * K(y,z)) * K(u,K(z,y)) = x * T(K(y,z),u).
(x * K(y,z)) * K(K(y,z),u) = x * T(K(y,z),u).
T(x,T(y,T(z,u)) \ T(z,z * u)) = T(x,T(z,z * u) / y).
T(x,T(y,z) \ z) = T(x,z / y).
T(x,y \ T(z,y)) = T(x,z / y).
T(T(x,K(y,z)),z \ y) = T(x,z \ T(y,z)).
T(x,y \ T(z,y)) = T(T(x,K(z,y)),y \ z).
T(T(x,K(y,z)),y \ T(z,y)) = T(x,y \ z).
T(T(x,K(y,z)),y \ T(z,y)) = T(x,z / T(y,z)).
T(T(x,K(y,y \ z)),y \ T(z,y)) = T(x,z / T(y,z)).
L(x,K(y \ z,u),z / y) = L(x,z / y,K(y \ z,u)).
L(x,y / z,K(z \ y,u)) = L(x,K(z \ y,u),y / z).
x \ (y * (y / (y * K(x,z)))) = T(x \ y,K(z,x)) * K(z,x).
K(x,L(y,y,T(y,x) \ z)) = K(x,L(y,y,z)).
x \ ((x / T(y,z)) * y) = K(z,L(y,y,x)).
x * K(y,L(z,z,x)) = (x / T(z,y)) * z.
(x / T(y,z)) * y = x * K(z,L(y,y,x)).
R(x,y,K(y,z)) * K(z,y) = (x / T(y,z)) * y.
((x / T(y,z)) * y) * K(y,z) = L(x,y,K(y,z)).
((x / T(y,z)) * y) * K(y,z) = R(x,y,K(y,z)).
((x / T(y,z)) * y) * K(y,z) = x * a(x,y,K(y,z)).
x * a(x,y,K(y,z)) = ((x / T(y,z)) * y) * K(y,z).
a(x / T(y,y * z),y,K(y,z)) = a(x,y,K(y,z)).
(x * K(y,z)) * K(K(y,z),u) = x * T(x \ (x * K(y,z)),u).
(T(x,y) * T(z,x)) / (z * x) = K(x,L(y,x,z)).
K(x,L(y,x,z)) * (z * x) = T(x,y) * T(z,x).
K(x,L(y,x,z)) * (z * x) = z * (x * K(T(x,z),y)).
K(x,L(y,x,z)) * (z * x) = z * (x * T(K(x,y),z)).
x \ T(y,K(z,x)) = T(x \ y,K(z,x)).
T(x * y,K(z,y)) = T(x,K(z,y)) * y.
x * K(y,z) != (K(y,z) * u) * y | x = T(u,K(z,y)) * y.
T(x * y,K(z,y)) * K(y,z) = (K(y,z) * x) * y.
(K(x,y) * z) * x = K(x,y) * (z * x).
K(x,y) * (z * x) = (K(x,y) * z) * x.
R(K(x,y),z,x) = K(x,y).
x * y != K(z,T(u,x)) * x | y = K(z,u).
x * R(K(y,z),x,y) = K(y,T(z,x)) * x.
K(x,T(y,z)) * z = z * R(K(x,y),z,x).
K(x,T(y,z * x)) * z = z * R(K(x,y),z,x).
R(x,K(x,y),z) \ x = a(z,x,K(x,y)).
R(x,K(x,y),z) \ x = a(K(x,y),x,z) \ 1.
a(K(x,y),x,z) \ 1 = R(x,K(x,y),z) \ x.
K(x,L(y,x,z)) * (z * x) = z * (T(x,y) * K(z,K(y,x))).
R(x,y,K(y,z)) = L(x,y,K(y,z)).
L(x,y,K(y,z)) = R(x,y,K(y,z)).
x * a(x,y,K(y,z)) = L(x,y,K(y,z)).
L(x,y,K(y,z)) = x * a(x,y,K(y,z)).
a(K(x,y),x,z) \ 1 = a(z,x,K(x,y)).
a(x,y,K(y,z)) = a(K(y,z),y,x) \ 1.
(T(x,y) * z) \ (K(x,y) * (x * z)) = a(z,x,K(x,y)).
(x * K(y,z)) * z = (x * z) * K(y,z).
a(x * K(y,z),K(z,y),z) = a(x,z,K(z,y)).
a(x * K(y,z),K(z,y),z) = a(x,z,T(K(z,y),y)).
a(x,y,T(K(y,z),z)) = a(x * K(z,y),K(y,z),y).
a(x * K(y,z),K(z,y),z) = T(a(x,z,K(z,y)),y).
T(a(x,y,K(y,z)),z) = a(x * K(z,y),K(y,z),y).
L(x,K(y,T(z,u)),T(y,u)) = L(x,T(y,u),K(y,T(z,u))).
K(x,L((y * z) / y,u,w)) = K(x,L(y * (z / y),u,w)).
K(x,L(y * (z / y),u,w)) = K(x,L(T(z,y),u,w)).
T(x,T(y * z,z)) = T(x,z * y).
T(x,y * z) = T(x,T(z * y,y)).
T(x,y * (z / y)) = T(x,T(z,y)).
T(x,T(y,z)) = T(x,z * (y / z)).
T(x,y * K(z,y)) = T(x,T(y,z)).
T(x,(y * (z \ R(z,u,w))) / (y / z)) = T(x,T(R(z,u,w),y / z)).
T(x,T(R(y,z,u),w / y)) = T(x,(w * (y \ R(y,z,u))) / (w / y)).
T(x,(y * z) / y) = T(x,T(z,y)).
T(x,T(y,z)) = T(x,(z * y) / z).
T(x,T(y \ z,y)) = T(x,z / y).
T(x,y / z) = T(x,T(z \ y,z)).
T(T(x,K(y,y \ z)),y \ z) = T(x,z / y).
T(T(x,K(y,z)),y \ z) = T(x,z / y).
T(T(x,K(y,z)),z \ y) = T(x,y / z).
T(x,y / z) = T(T(x,K(y,z)),z \ y).
T(T(x,K(y,z / T(y,z))),y \ T(z,y)) = T(x,z / T(y,z)).
T(T(x,K(y,z)),T(y / z,y)) = T(x,y / z).
T(T(x,K(y,z)),T(z,y)) = T(x,z).
T(x,y) = T(T(x,K(z,y)),T(y,z)).
T(T(x,K(y,z)),T(y,z)) = T(x,y).
T(x,y) = T(T(x,K(y,z)),T(y,z)).
T(T(x,K(y,z)),z) = T(x,T(z,y)).
T(x * K(y,K(z,x)),y) = T(x,T(y,z)).
T(x,T(y,z)) = T(x * K(y,K(z,x)),y).
K(x,L((y * z) / y,u,w)) = K(x,L(T(z,y),u,w)).
K(x,L(T(y,z),u,w)) = K(x,L((z * y) / z,u,w)).
K(x,R(y / x,(y / x) \ 1,z) \ (x \ y)) = a(y / x,(y / x) \ 1,K(z,x)).
K(x,y \ (z / x)) = K(x,y \ (x \ z)).
K(x,(y * x) \ z) = K(x,y \ (z / x)).
x \ T(y,K(x,z)) = T(x \ y,K(x,z)).
x \ T(y,K(x,z)) = T(y / x,T(x,z)).
T(x * K(y,K(z,x)),y) = x * K(x,T(y,z)).
K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)).
K(x,T(y / (z * x),z)) = K(x,(z * x) \ y).
K(x,(y * x) \ z) = K(x,T(z / (y * x),y)).
K(x,T(y,z * x)) = K(x,T(y,z)).
K(x,T(y,z)) = K(x,T(y,z * x)).
K(x,T(y,z / x)) = K(x,T(y,z)).
T(x / y,T(y,z)) = T(y \ x,K(y,z)).
T(x \ y,K(x,z)) = T(y / x,T(x,z)).
x \ (y * K(x,K(y,z))) = T(y / x,T(x,z)).
T(x * K(y,K(z,x)),y) = x * T(K(x,y),z).
(T(T(x,y),T(z,y)) * u) / (T(x,y) * u) = R(K(x,z),T(x,y),u).
R(K(x,y),T(x,z),u) = (T(T(x,z),T(y,z)) * u) / (T(x,z) * u).
K(x,L(y * (z / y),u,w)) = L(K(x,T(z,y)),u,w).
L(K(x,T(y,z)),u,w) = K(x,L(z * (y / z),u,w)).
K(x,y * (z / y)) = K(x,T(z,y)).
K(x,T(y,z)) = K(x,z * (y / z)).
T(T(x,y),T(z,y)) = K(x,z) * T(x,y).
K(x,y) * T(x,z) = T(T(x,z),T(y,z)).
K(x,T(T(y,z),z)) = K(x,y).
x * y != y * K(z,T(u,y)) | x = K(z,u).
K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)).
x * y != y * K(z,L(T(u,y),w,v5)) | x = K(z,L(u,w,v5)).
K(x,T(y * z,z)) = K(x,z * y).
x * y != y * K(z,u * y) | x = K(z,y * u).
x / (x * K(y,z)) = K(z,T(y,x)).
K(x,T(y,z)) = z / (z * K(y,x)).
K(x,y) * K(z,K(x,y)) = K(x,T(y,z / x)).
K(x,T(y,z)) * z = z * K(x,y).
(x * K(y,z)) / x = K(y,T(z,x)).
K(K(x,y),z * y) = K(z,K(y,x)).
K(x / y,K(y,z)) = K(x,K(y,z)).
K(x * y,K(x,z)) = K(y,K(x,z)).
K(x,K(y,z)) = K(y * x,K(y,z)).
K(x \ y,K(x,z)) = K(y,K(x,z)).
(x \ y) * K(x,K(y,z)) = T(x \ y,K(x,z)).
K(x \ y,K(x,z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(x \ y,K(x,z)).
K(x,y) * (y * (z * K(y,x))) = T(y * z,K(x,y)).
K(x,y) * (z * K(y,x)) = T(z,K(x,y)).
T(x,K(y,z)) * K(y,z) = K(y,z) * x.
T(T(x,K(y,z)),K(y,z)) = x.
T(x,K(y,z)) = T(x,K(z,y)).
K(x,y) * K(z,K(x,y)) = K(x,T(y,z)).
K(x,K(y,z)) * K(R(K(y,z),y,u),x) = a(K(x,K(y,z)),y,u).
K(x,K(y,z)) * K(y,K(z,L(x,u,w))) = a(w,u,K(x,K(y,z))).
K(x,K(y,x \ z)) = K(x,K(z,y)).
K(x,K(y,z)) = K(x,K(z,y)).
(x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)).
x * K(y,K(z,x)) = T(x,K(y,z)).
K(K(x,y),z) = K(x,K(y,z)).
K(x,K(y,z)) = K(K(x,y),z).
x * y != T(x,K(z,u)) | y = K(K(u,z),x).
K(x,K(y,z)) = K(z,K(x,y)).
K(x,K(y,z)) = K(y,K(z,x)).
x * y != T(x,K(z,u)) | y = K(z,K(x,u)).
x * K(y,K(z,x)) = T(x,K(z,y)).
K(x,K(y,x \ z)) = K(y,K(x,z)).
x * K(y,K(x,z \ 1)) = T(x,K(z,y)).
T(x,y) * K(y,K(z,x)) = x * T(K(x,y),z).
x * K(y,K(x,z)) = T(x,K(y,z)).
T(x,K(y,z)) = x * K(y,K(x,z)).
K(x,K(y,z)) = K(y,K(x,z)).
x * (x \ K(y,K(z,x))) = K(z,K(y,x)).
x * (T(x,y) \ K(T(x,z),y)) = K(y,K(z,x)).
(x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)).
T(R(x,K(y,z),z) \ x,y) = a(x * K(y,z),K(z,y),z).
a(x * K(y,z),K(z,y),z) = T(R(x,K(y,z),z) \ x,y).
(T(x,K(y,z)) * z) * K(z,y) = (K(z,y) * x) * z.
(K(x,y) * z) * x = (T(z,K(y,x)) * x) * K(x,y).
(((x * y) * K(y,z)) / (x * y)) * x = x * R(K(y,z),x,y).
(x * K(y,z)) * y = (x * y) * K(y,z).
K((x / y) \ z,y) = K(x \ (z * y),y).
K(x \ (y * z),z) = K((x / z) \ y,z).
K(x / (y / z),T(z,x)) = K(y \ (x * z),z).
K(x \ (y * z),z) = K(y / (x / z),T(z,y)).
K((x / (y * x)) \ 1,z) = K(((x * y) \ x) \ 1,z).
K(T((x / y) \ 1,x),z) = K((y \ x) \ 1,z).
T(K(x,((R(y,z,y) * z) / R(y,z,y)) \ 1) \ 1,R(y,z,y)) = (R(y,z,y) / (T(y * z,y) * T((z * y) \ y,x))) \ 1.
K(x,L(y,y,y \ z)) = K(x,L(y,y,z)).
K(x,L(y,y,y \ z)) = L(K(x,y),y,z).
L(K(x,y),y,z) = K(x,L(y,y,y \ z)).
a(x,K(y,z),z * y) = a(x,z * y,K(y,z)).
L(x,y / z,K(y / z,T(u,y))) = L(x,K(z \ y,u),y / z).
L(x,K(y \ z,u),z / y) = L(x,z / y,K(z / y,T(u,z))).
L(x,K(y,T(z,u)),T(y,u)) = L(x,T(y,u),K(T(y,u),z)).
x * (T(x,y) \ (K(x,y) * z)) = L(z,x,K(x,y)).
(x * y) \ (y * (x * (K(x,y) * z))) = L(L(z,x,K(x,y)),T(x,y),y).
L(x,K(y,z),y) = L(x,y,K(y,z)).
L(x,y * z,K(y * z,y)) = L(x,K(z,y),y * z).
L(x,K(y,z),z * y) = L(x,z * y,K(z * y,z)).
K(x,L(y,y,T(y,x) \ z)) = z \ ((z / T(y,x)) * y).
K(x,L(y,T(y,x),z)) = K(x,L(y,y,z)).
K(x,L(y,y,z)) = K(x,L(y,T(y,x),z)).
x * (y * K(K(z,y),x * T(y,z))) = K(z,L(y,y,x)) * (x * T(y,z)).
K(x,L(y,y,z)) * (z * T(y,x)) = z * (y * K(K(x,y),z * T(y,x))).
L(K(x,y),T(y,x),z) = K(x,L(y,y,z)).
(x * T(y,z)) \ (x * y) = K(z,L(y,y,x)).
(x * y) / K(z,L(y,y,x)) = x * T(y,z).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = y * T(z,a(x,y,y)).
T(T(x,L(y \ 1,z,u)),a(w,y,y)) = T(x,L(L(y \ 1,z,u),y,w / y)).
T(x,y * (z \ (z / y))) = T(x,a(z,y,y)).
((x * (K(x,y) * z)) / z) / T(x,y) = a(K(x,y),x,z) \ 1.
T(x,y) * L(z,x,K(x,y)) = x * (K(x,y) * z).
K(x,y) * (x * z) = x * (K(x,y) * z).
x * (K(x,y) * z) = K(x,y) * (x * z).
K(x,L(y,x,z)) * (z * x) = (z * T(x,y)) * K(z,K(y,x)).
(x * T(y,z)) * K(x,K(z,y)) = K(y,L(z,y,x)) * (x * y).
K(K(x,y),z * x) = K(z,K(y,x)).
K(x * y,K(z,y)) = K(x,K(z,y)).
K(x,K(y,z)) = K(x * z,K(y,z)).
K(x,T(y,z)) * u != K(x,y) | u = K(z,K(x,y)).
T(x,y) \ K(T(x,z),y) = x \ K(z,K(y,x)).
x * (y * K(x,T(z,y))) = K(x,z) * (x * y).
K(x,y) * (x * z) = x * (z * K(x,T(y,z))).
K(x,T(y,z * y)) * K(z,K(x,y)) = K(x,y).
K((x / y) \ 1,T(z,y)) = K((y \ x) \ 1,z).
K((x \ y) \ 1,z) = K((y / x) \ 1,T(z,x)).
T(x,y) \ K(x,T(y,z)) = x \ K(z,K(y,x)).
x \ K(y,K(z,x)) = T(x,z) \ K(x,T(z,y)).
(x * y) * K(x,T(z,y)) = K(x,z) * (x * y).
K(x,T(y,x * z)) = K(x,T(y,z)).
K(x,y * z) * y = y * K(x,z * y).
x * K(y,z * x) = K(y,x * z) * x.
x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x.
K(x,T(y,z)) * K(y,x) = x * (T(x,z) \ K(T(x,y),z)).
K(x / (y / z),T(z,x * z)) = K(y \ (x * z),z).
K(T((x / y) \ 1,x),z) = K((x / y) \ 1,T(z,y)).
K((x / y) \ 1,T(z,y)) = K(T((x / y) \ 1,x),z).
K(x,T(y,x * z)) = K(T(x,z),y).
(T(x,y) * z) \ ((x * z) * K(x,T(y,z))) = a(z,x,K(x,y)).
K(x,T(y,z)) * T(x,z) = T(T(x,z),y).
T(T(x,y),z) = K(x,T(z,y)) * T(x,y).
K(T(x,y),z) = K(x,T(z,y)).
K(x / y,T(z,x)) = K(y \ x,z).
(x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)).
K(x,T(y,z)) * K(z,K(x,y)) = K(x,y).
K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)).
x * K(y,T(z,x)) = K(y,z) * x.
K(x,y) * K(z,K(y,x)) = K(x,T(y,z)).
K(x,T(y,z)) = T(K(x,y),z).
K(x,T(y,z)) * K(y,x) = K(z,K(y,x)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
K(x,K(y,z)) = K(y,z) * K(z,T(y,x)).
K(K(x,y) * z,T(y,u)) = K(z,T(y,u)).
T(K(x,y),z) \ 1 = K(y,T(x,z)).
x * K(T(y,x),z) = K(y,z) * x.
K(T(x,y),z) = T(K(x,z),y).
T(K(x,y),z) = K(T(x,z),y).
K((x \ y) \ y,z) = T(K(x,z),y).
T(K(x,y),z) = K((x \ z) \ z,y).
T(K(x / y,z),x) = K(y \ x,z).
K(x \ y,z) = T(K(y / x,z),y).
K(x,y \ R(y,z,u)) = R(y,z,K(u,x)) \ y.
R(x,y,K(z,u)) \ x = K(u,x \ R(x,y,z)).
x \ (y * (y / (y * K(x,z)))) = (x \ T(y,K(z,x))) * K(z,x).
K(x,((y * z) / y) \ 1) = y / (y * K(z \ 1,x)).
(x * K(y,z)) / x = x / (x * K(z,y)).
x / (x * K(y,z)) = (x * K(z,y)) / x.
((x * K(y,z)) / x) \ x = x * K(z,y).
x * K(y,z) = ((x * K(z,y)) / x) \ x.
x * y != z * K(x,z) | y = ((z * x) / z) \ z.
K((x * (x \ y)) \ x,z) = T(K(x / y,z),x).
(x * (y * K(z,u))) \ (x * y) = K(u,L(z,y,x)).
K(x \ R(x,y,z),u) = R(x,y,K(u,z)) \ x.
R(x,y,K(z,u)) \ x = K(x \ R(x,y,u),z).
(x * y) / K(z,L(u,y,x)) = x * (y * K(u,z)).
(((x * (y * K(z,u))) * K(u,z)) / y) / x = R(x,y,K(z,u)) \ x.
a(x / T(y,y * z),y,K(y,z)) = a(x * K(z,y),K(y,z),y).
(x * K(y,z)) * K(K(y,z),u) = x * T(x \ (x / K(z,y)),u).
R(x,K(y,z),K(z,y)) = x.
x = R(x,K(y,z),K(z,y)).
a(x * K(y,z),K(z,y),z) = R(x,K(y,z),T(z,y)) \ x.
R(x,K(y,z),T(z,y)) \ x = a(x * K(y,z),K(z,y),z).
((x * (y * K(z,u))) * K(u,z)) / y = R(x,y * K(z,u),K(u,z)).
R(x,y * K(z,u),K(u,z)) = ((x * (y * K(z,u))) * K(u,z)) / y.
x * K(y,z) != u | u * K(z,y) = x.
x != y * K(z,u) | x * K(u,z) = y.
(x * K(y,z)) \ x = K(z,y).
x / K(y,z) = x * K(z,y).
K(x,y) * (y * (z * K(y,x))) = T(y * z,K(y,x)).
K(x,y) * (z * K(y,x)) = z * K(K(x,y),z).
x * K(K(y,z),x) = K(y,z) * (x * K(z,y)).
(x * K(y,z)) * K(z,y) = x.
K(x,y) * z != T(u * K(x,y),K(y,x)) | z = u.
K(x,y) * z != u | K(y,x) * u = z.
x != K(y,z) * u | K(z,y) * x = u.
K(x / (y * x),z) = K((x * y) \ x,z).
K((x * y) \ x,z) = K(x / (y * x),z).
x * (K(y,(z * u) \ z) * T(y,w)) != T(y,z / (u * z)) | x = K(w,y).
(x * y) / (T(x,z) * y) = R(K(x,z),x,y) \ 1.
K(x,L(y,z,u)) \ w = K(y,L(x,z,u)) * w.
K(((x * y) \ x) \ 1,z) * (K(z,y) * u) = a(x,y,K(z,y)) * u.
K(x,y) * ((x / y) * (((T(x,y) / y) \ 1) * z)) = L(z,x \ y,x / y).
L(T(x,x \ 1) \ y,x,((z * x) / z) \ 1) = K(z,x) * ((((z * x) / z) \ 1) * y).
K((x / (y * x)) \ 1,z) * (K(z,y) * u) = a(K(z,y),y,x) \ u.
((x * y) / (K(x,z) * y)) \ ((z * x) / z) = a(x,K(z,x),K(x,z) * y).
K(x \ y,x) * ((y / x) * (((x \ y) \ 1) * z)) = L(z,y \ x,y / x).
x / (K(y,z) * x) = K(z,y).
K(x,y) * (z * K(y,x)) = T(z,K(y,x)).
T(x,K(y,z)) = K(z,y) * (x * K(y,z)).
K(x,y) * (K(y,x) * z) = z.
L(x,K(y,z),K(z,y)) = x.
K(x,y) \ z = K(y,x) * z.
T(x * K(y,z),K(z,y)) = K(z,y) \ x.
K(x,y) \ z = T(z * K(y,x),K(x,y)).
K(x,L(y,K(y,x),z)) = K(x,y).
K(x,L(y,K(z,x),u)) = K(x,T(y,a(u,x,z))).
K(x,T(y,a(z,x,u))) = K(x,L(y,K(u,x),z)).
T(x,a(y,z \ 1,z)) = a(y,z,K(z,x)) * x.
(x * T(y,z)) * a(x,y,K(y,z)) = (x * K(y,z)) * y.
a(x,K(y,z),y) = a(x,y,K(y,z)).
a(x,y,K(y,z)) = a(x,K(y,z),y).
a(x,K(y,z),y) = K(a(x,y,y),z).
x / T(x,a(y,z,z)) = a(y,K(z,x),z).
R(x,K(y,z),z) \ x = a(x,z,K(z,y)).
R(x,K(y,z),z) = R(x,z,K(y,z)).
K(L(x,K(y,x),z),u) = K(x,T(u,a(z,x,y))).
L(x,K(y,x),z) = T(x,a(z,x,y)).
a(x,y,K(z,y)) \ K(z,y) = K(z,L(y,y,y \ x)).
x / (x * a(y,z,K(x,z))) = a(y,K(z,x),z).
x * (((y * z) / y) * a(x,z,K(y,z))) = (x * K(y,z)) * z.
T(x,y * (z \ (z / y))) = a(z,y,K(x,y)) * x.
a(x,y * z,K(z,y * z)) = a(x,K(z,y),y * z).
x * a(x,y,K(z,y)) = R(x,K(z,y),y).
a(x,y,K(z,y)) \ y = L(y,K(z,y),x).
L(x,K(y,x),z) = a(z,x,K(y,x)) \ x.
a(x,K(y,z),z) = a(x,z,K(y,z)).
a(x,y,K(y * z,y)) = a(x,K(z,y),y).
a(x,K(y,z),z) = a(x,z,K(z * y,z)).
K(x,L(x * y,x,z)) * K(x * y,x) = a(z,K(y,x),x).
K(x,x * L(y,x,z)) * K(x * y,x) = a(z,K(y,x),x).
a(x,K(y,z),z) = K(z,z * L(y,z,x)) * K(z * y,z).
T(x,x * y) \ T(x,x * L(y,x,z)) = a(z,K(y,x),x).
a(x,y,K(z,K(u,w))) \ a(x,y,K(z,u)) = K(z,a(x,y,T(u,w))).
a(x,y,T(T(x,z),u)) = a(x,y,x).
a(x,y,x) = a(x,y,T(T(x,z),u)).
a(T(x,y),z,T(T(x,z),u)) = a(x,z,x).
(x * a(y,x,K(x,z))) / (y \ (y / (x \ 1))) = (z * (x / (x / a(y,x,x \ 1)))) / z.
a(x,y,z \ 1) \ a(x,y,u / (u * z)) = a(x,y,K(z,u)).
T(x,x * y) \ (K(x,L(y,x,z)) * L(x,y,x)) = a(z,K(y,x),x).
x \ ((x / y) * T(y,z)) = K(y,L(z,y,x)).
K(x,L(y,x,z)) = z \ ((z / x) * T(x,y)).
K(x,L(y,x,x \ z)) = K(x,L(y,x,z)).
K(x,L(y,x,z)) = K(x,L(y,x,x \ z)).
K(x,L(y,x,x * z)) = K(x,L(y,x,z)).
K(x,L(y,x,z)) = K(x,L(y,x,x * z)).
L(K(x,y),x,x * z) = K(x,L(y,x,z)).
L(K(x,L(y,z,x)),x,x * z) = K(x,L(y,x,z)).
L(K(L(x,y,x),z),x,x * y) = K(x,L(z,x,y)).
L(K(L(x,y,x),z),x,x * y) = K(x,L(L(z,x,y),y * x,x)).
a(x,y,K(z,u)) * L(w,K(u,z),K(z,u)) = K(z,u) * (K(u,L(z,y,x)) * w).
K(x,y) * (K(y,L(x,z,u)) * w) = a(u,z,K(x,y)) * L(w,K(y,x),K(x,y)).
a(x,y,K(z,u)) * (K(u,z) * w) = K(u,L(z,y,x)) * w.
a(x,y,K(z,u)) * (K(u,z) * w) = K(L(u,y,x),z) * w.
a(x,K(y,z),z) \ K(y,z) = K(y,L(z,z,z \ x)).
a(x,K(y,z),z) \ K(y,z) = K(y,L(z,z,x / z)).
K(x,L(y,y,z / y)) = a(z,K(x,y),y) \ K(x,y).
x * (R(x,y,K(z,y)) \ K(z,y)) = K(z,L(y,y,x)).
K(x,L(y,y,z)) = z * (R(z,y,K(x,y)) \ K(x,y)).
a(x,y,T(z,(1 / u) * w)) = a(x,y,T(z,u \ w)).
a(x,y,T(z,(u \ 1) * w)) = a(x,y,T(z,u \ w)).
T(x,R(T(y,R(y,z,u) \ w),z,u)) = T(x,R(T(y,w),z,u)).
K(x,L(x * y,z,u)) = K(x,x * L(y,z,u)).
K(x,x * L(y,z,u)) = K(x,L(x * y,z,u)).
L(K(x,x * y),z,u) = K(x,x * L(y,z,u)).
a(x,y,x) \ K(x,L(y,z,u)) = L(K(x,x * y),z,u).
R(x,y,x) \ T(x,L(y,z,u)) = L(K(x,x * y),z,u).
L(K(x,x * y),z,u) = R(x,y,x) \ T(x,L(y,z,u)).
T(x,L(y,z,u)) / R(x,y,x) = L(K(x,x * y),z,u).
a(x / y,y / x,K(z,x)) = K(x \ 1,z) * K(z,((1 / (y / x)) * y) \ 1).
K(x,y) \ K(z,y) = K(z,y) * K(y,x).
K(x,y) / (K(x,y) * K(y,z)) = K(z,y).
K(x,L(y,T(y,x),T(y,x) \ z)) = z \ ((z / T(y,x)) * y).
x \ ((x / T(y,z)) * y) = K(z,L(y,T(y,z),T(y,z) \ x)).
a(x,y,K(x * T(z,a(x,y,u)),u)) = a(x,y,K(x * z,u)).
a(x,y,K(x * z,u)) = a(x,y,K(x * T(z,a(x,y,u)),u)).
K(x \ R(x,y,z),u) = K(z,x \ R(x,y,u)).
(a(x,y,x) * T(z,u)) / w = (T(z,u) / w) * a(x,y,x).
K(x * L(y,z,u),x) = K(y * x,L(x,z,u)).
L(K(x * y,y),z,u) = K(y * L(x,z,u),y).
L(K(x * y,x),z,u) = K(x * L(y,z,u),x).
a(x,y,x) * K(L(y,z,u),x) = L(K(x * y,x),z,u).
L(K(x * y,x),z,u) = a(x,y,x) * K(L(y,z,u),x).
K(x,L(y,z,u)) \ a(x,y,x) = L(K(x * y,x),z,u).
L(K(x,y),z,u) \ a(x,y,x) = L(K(x * y,x),z,u).
L(K(x * y,x),z,u) = L(K(x,y),z,u) \ a(x,y,x).
a(x,y,K(z,T(u,(x * y) \ 1))) = K(x \ R(x,y,z),u).
K(x \ R(x,y,z),u) = a(x,y,K(z,T(u,(x * y) \ 1))).
K((x \ (x * y)) \ z,(x * y) / x) = K((y \ K(y,x)) * z,(x * y) / x).
K((x / y) \ z,x / y) = K((y \ x) \ z,x / y).
K((x \ y) \ z,y / x) = K((y / x) \ z,y / x).
K(T(x,y) \ z,x) = K(x \ z,x).
K(T(x,y) \ z,x) = K((x \ 1) * z,x).
K((x \ 1) * y,x) = K(T(x,z) \ y,x).
K(K(x,y) * z,y) = K(z,y).
K(x,y) = K(K(z,y) * x,y).
K(K(x,y) \ z,y) = K(z,y).
K(x,L(y,x,T(y,z))) = K(K(z,y) \ x,y).
K(K(x,y) \ z,y) = K(z,L(y,z,T(y,x))).
a(T(x,y),z,T(T(x,z),u)) = a(x,z,T(T(x,u),y)).
(a(x,y,x) * T(z,u)) / w = T(z,u) / (a(x,y,x) \ w).
K(T(x,y),z) * K(z,x) = x * (T(x,y) \ K(T(x,z),y)).
T(x,L(L(y \ 1,z,u),y,x / y)) = T(x,L(y,z,u) \ 1).
T(x,L(x \ (x / y),z,u)) = T(x,L(y,z,u) \ 1).
T(x,L(x / y,z,u) \ 1) = T(x,L(x \ y,z,u)).
T(x,L(x / y,z,u) \ 1) = T(x,L(y / x,z,u)).
T(x,L(y / x,z,u)) = T(x,L(x / y,z,u) \ 1).
T(x,L(y \ 1,z,u) \ 1) = T(x,L(y,z,u)).
T(x * K(y,z),y) = T(x,y) * K(y,z).
T(x,y) * K(y,z) = T(x * K(y,z),y).
T(K(x,y) * z,y) = K(x,y) * T(z,y).
K(x,y) * T(z,y) = T(K(x,y) * z,y).
K(x,y) * T(K(x,y) \ z,y) = T(z,y).
K(x,y) * T(K(x,y) \ z,y) = T(y * (y \ z),y).
T(x * (x \ y),x) = K(z,x) * T(K(z,x) \ y,x).
T(x,y) \ ((T(x,y) * z) * x) = T(x * z,x).
a(x,y,K(z / (u * z),w)) = K(w,a(x,y,u)).
a(x,y,K(z / (u * z),w)) = a(x,y,K(w,u)).
a(x,y,K(K(z,u),w)) = a(x,y,K(u,K(w,z))).
a(x,y,K(z,K(u,w))) \ K(z,a(x,y,u)) = K(z,a(x,y,T(u,w))).
a(x,y,K(z / u,w)) = a(x,y,K(w,u / z)).
K(x,K(x,y) * z) = K(x,z).
K(x,L(y,z,K(u,y))) = K(x,y).
(x * y) * K(L(z,y,x),u) = x * (y * K(z,u)).
(K(x,L(y,z,u)) / y) \ 1 = T(y,L(x,z,u)).
T(x,L(y,z,u)) = (K(y,L(x,z,u)) / x) \ 1.
K(L(x,y,z),u) = K(x,L(u,y,z)).
K(x,L(y,z,u)) = K(L(x,z,u),y).
R(x,y,K(y,z)) * K(z,y) = x * K(z,L(y,y,x)).
x * K(y,L(z,z,x)) = R(x,z,K(z,y)) * K(y,z).
L(T(x,a(y \ 1,y,z)),y,y \ 1) = L(x,y,z / (z * y)).
T(x,y) \ ((T(x,y) * z) * x) = z * R(x,z,x).
R(x,y,T(x,z)) = R(x,y,x).
R(x,y,x) = R(x,y,T(x,z)).
R(x,y,T(x,z)) = R(x,y,x) * 1.
R(x,y,x) * 1 = R(x,y,T(x,z)).
a(x,y,K(z,u)) * K(u * z,z) = L(K(z * u,z),y,x).
x * K(a(y,z,x),u) = T(x,a(y,z,u)).
K(a(x,y,x),z) = 1.
a(x,y,K(z,K(u,w))) = K(z,K(a(x,y,u),w)).
a(x,x \ 1,K(y,z)) * T(z,x \ y) = T(z,(x \ 1) * y).
a(x,y,K(z,u / w)) = K(w / u,a(x,y,z)).
a(x,y,K(T(z,(x * y) \ 1),u)) = K(x \ R(x,y,z),u).
a(x,x \ y,a(x,z,u)) * a(x,z,K(u,y)) = K(a(x,z,u),x \ y).
K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)).
K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)).
K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)).
a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)).
a(x,y,K(z,u)) * a(x,y,z) = a(x,y,T(z,u)).
K(x,R(y,y \ 1,z) \ y) = a(y,y \ 1,K(z,x)).
a(x,x \ 1,K(x * y,z)) = K(a(x \ 1,x,y),z).
a(x,y,K(z,u)) \ u = T(u,a(x,y,z)).
a(x,y,K(z,u)) = K(a(x,y,z),u).
K(a(x,y,z),u) = a(x,y,K(z,u)).
K(a(x,y,z),u) * 1 = a(x,y,K(z,u)).
a(x,y,K(z,u)) = K(a(x,y,z),u) * 1.
(x * T(y,z)) \ ((x * (K(y,z) * T(y,u))) / K(y,u)) = a(x,T(y,z),K(u,y)).
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)) \ 1 = a(x,y,K(u,z)).
a(x,y,K(z \ 1,u)) = a(x,y,K(z,u)) \ 1.
K(x \ 1,a(y,z,u)) = a(y,z,K(x,u)) \ 1.
a(x,y,K(z,u)) \ 1 = K(z \ 1,a(x,y,u)).
x * T(x \ 1,a(y,z,u)) = a(y,z,K(x,u)) \ 1.
a(x,y,K(z,u)) \ 1 = z * T(z \ 1,a(x,y,u)).
T(1 / x,a(y,z,u)) * x = a(y,z,K(x,u)) \ 1.
R(x,y,K(z,u)) != x * w | K(z,x \ R(x,y,u)) = w.
K(R(x,y,z) \ x,y) = a(x,y,K(y,z)).
K(x,y \ R(y,x,z)) = a(y,x,K(x,z)).
x * K(y,x \ R(x,z,u)) = R(x,z,K(y,u)).
K(x,y \ R(y,z,u)) = y \ R(y,z,K(x,u)).
(x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)).
K(x,T(y,z * y)) = K(x,T(y,z)).
K(x,K(y,y \ z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(x,K(y,y \ z)).
K(x,T(y,y * z)) = K(x,T(y,z)).
K(x,T(y,z)) = K(x,T(y,y * z)).
K(x,(y * z) / y) = K(x,y * (z / y)).
K(x,y * (z / y)) = K(x,(y * z) / y).
K(x,T(y * z,y)) = K(x,z * y).
K(x,K(y,y * z)) = K(x,K(y,z)).
K(x,a(y,z,y) * u) = K(x,u).
K(x,y) = K(x,a(z,u,z) * y).
K(x,T(y,y \ z)) = K(x,T(y,z)).
K(x,a(y,z,y) \ u) = K(x,u).
K(x,R(y,z,y)) = K(x,y).
K(x,y) = K(x,R(y,z,y)).
K(x,y / a(z,u,z)) = K(x,y).
K(x,y) = K(x,y / a(z,u,z)).
K(x,K(x,L(y,z,K(x,y))) * z) = K(x,z).
K(x * K(y,z),T(z,u)) = K(x,T(z,u)).
(a(x,y,x) / (z * u)) / (a(x,y,x) / (u * z)) = K(u / a(x,y,x),z).
K(T(x / (y / z),x * z),z) = K(y \ (x * z),z).
K(x \ (y * z),z) = K(T(y / (x / z),y * z),z).
K(T((x / y) \ 1,y),z) = K(T((x / y) \ 1,x),z).
K(T((x / y) \ 1,x),z) = K(T((x / y) \ 1,y),z).
K(T(x / y,x),z) = K(y \ x,z).
K(x \ y,z) = K(T(y / x,y),z).
K((x \ y) \ y,z) = K(T(x,y),z).
K(T(x,x * y),z) = K(T(x,y),z).
K(T(x,y),z) = K(T(x,x * y),z).
K(T(x,x \ y),z) = K(T(x,y),z).
K(R(x,y,x),z) = K(x,z).
K(x,y) = K(R(x,z,x),y).
R(x,y,x) * K(x,z) = T(R(x,y,x),z).
R(x,y,x) * K(x,z) = R(T(x,z),y,x).
K(x,y) * R(x,z,x) = R(T(x,y),z,x).
T(x,y) * a(x,z,x) = R(T(x,y),z,x).
K(K(x,y) * ((y \ 1) * z),y) = K(T(y,x) \ z,y).
K(K(x,y) * (z / y),y) = K(T(y,x) \ z,y).
K(K(x,y) \ z,x) = K(K(y,x) * z,x).
K(K(x,y) * z,y) = K(K(y,x) \ z,y).
K(L(x,y,K(z,u)),u) = K(x,u).
K(L(x,y,K(z,u)),u) = (u \ 1) / (u \ K(u,x)).
(x \ 1) / (x \ K(x,y)) = K(L(y,z,K(u,x)),x).
K(x,L(y,z,K(u,x))) = K(x,y).
K(x,y) = K(x,L(y,z,K(u,x))).
(x * y) * z != x * (y * K(u,w)) | z = K(u,L(w,y,x)).
K(x,y) * (K(y,(z * u) \ z) * T(y,x)) = T(y,z / (u * z)).
T(x,y / (z * y)) = T(x,(y * z) \ y).
(T(x,y) * z) \ (T(x,y) * T(z,x)) = K(K(y,x) \ z,x).
K(T((x / y) * z,x / y) / (y \ x),y) = K(z * a(x / y,z,x / y),y).
K(x * a(y / z,x,y / z),z) = K(T((y / z) * x,y / z) / (z \ y),z).
K(x / (y / z),z) = K(x / (z \ y),z).
K((x / y) * T(y,z),z) = K(x,z).
K(x * T(y,z),z) = K(x * y,z).
K(x * y,z) = K(x * T(y,z),z).
K(x * T(y,z),y) = K(x * y,y).
K(x * (y * K(z,u)),z) = K(x * y,z).
K(x * y,z) = K(x * (y * K(z,u)),z).
(T(x,y) * (x \ z)) * x = T(x,y) * T(z,x).
a(T(x,y),z,T(T(x,z),u)) = a(x,z,T(T(x,x * u),y)).
a(x,y,T(T(x,x * z),u)) = a(T(x,u),y,T(T(x,y),z)).
T(x,y \ T(z,z * u)) = T(x,y \ T(z,u)).
T(x,y \ T(z,u)) = T(x,y \ T(z,z * u)).
a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u).
(T(x,y) / z) * (z / a(x,y,R(x,u,w))) = T(x,R(x,u,w) * y).
a(R(x,y,z),u,x) = a(x,u,R(x,y,z)).
(a(x,y,x) * T(z,u)) / w = T(z,u) / (w / a(x,y,x)).
K(x,K(y,z \ 1)) = K(x,K(z,y)).
K(x * (y * K(z,u)),z) = T(z,x * y) \ z.
K(x,y * K(x,z)) = K(x,y).
K(x,(y * x) \ z) = K(x,y \ (x \ z)).
K(x,y \ (x \ z)) = K(x,(y * x) \ z).
K(x,T(y,x) \ z) = K(x,y \ z).
K(x,y * (T(y,x) \ z)) = K(x,z).
K(x,y) = K(x,z * (T(z,x) \ y)).
K(x,T(y,x) * z) = K(x,y * z).
K(x,y * K(z,x)) = K(x,y).
x * K(x,K(y,z \ 1)) = T(x,K(z,y)).
T(x,K(y,z)) = x * K(x,K(z,y \ 1)).
T(x,K(y,z \ 1)) = T(x,K(z,y)).
T(x,K(y,z)) = T(x,K(z,y \ 1)).
T(x,K(y \ 1,z)) = T(x,K(z,y)).
T(x,K(y / z,y)) = T(x,K(y,z)).
T(x,y * (z * K(x,u))) = T(x,y * z).
T(x,y * K(x,z)) = T(x,y).
K(x,y * K(x,z)) = K(x,x * (y / x)).
K(x,x * (y / x)) = K(x,y * K(x,z)).
K(x,y * T(x,z)) = K(x,x * y).
K(x,x * y) = K(x,y * T(x,z)).
K(x,x * (y / T(x,z))) = K(x,y).
K(x,y) = K(x,x * (y / T(x,z))).
T(x,x * (y * K(z,x))) = T(x,x * y).
T(x,x * y) = T(x,x * (y * K(z,x))).
K(x,T(y,K(z,x))) = K(x,y * K(z,x)).
K(x,K(y,x) \ z) = K(x,z).
K(x,y) = K(x,K(z,x) \ y).
(T(x,y) * z) / T(x,z) = T(x,y) * (x \ z).
K(x,K(y,x) \ z) = x \ T(x,z).
T(x,K(y,x) \ z) = T(x,z).
T(x,y) = T(x,K(z,x) \ y).
T(x,K(y,x) * z) = T(x,z).
L(x,x \ (y * K(z,x)),x) \ (y * K(z,x)) = (y * K(z,x)) / T(x,y).
K(x * K(y,z),T(z,u)) = T(T(z,x),u) \ T(z,u).
T(T(x,y),z) \ T(x,z) = K(y * K(u,x),T(x,z)).
((x * K(y,z)) / T(z,x)) * z = T(x * K(y,z),z).
T(x,y * K(z,x)) = T(x,y).
T(x,y) = T(x,y * K(z,x)).
T(x,(y * z) \ R(y,z,y)) = T(x,y / (z * y)).
T(x,K(y \ z,y)) = T(x,K(z / y,z)).
L(x,y,T(z,z \ u)) = a(z,y,T(x,u)) \ x.
T(x,y * K(x,z)) = T(x,x * (y / x)).
T(x,x * (y / x)) = T(x,y * K(x,z)).
K(x,x * (y / T(x,z))) = x \ T(x,y).
T(x,y * (x * K(z,x))) = T(x,x * y).
T(x,x * y) = T(x,y * (x * K(z,x))).
T(x,K(x,y) * z) = T(x,z).
T(x,y) = T(x,K(x,z) * y).
T(x,K(x,y) \ z) = T(x,z).
T(x,y) = T(x,K(x,z) \ y).
T(x,T(x,y) \ z) = T(x,x \ z).
T(x,x * ((y * K(z,x)) / x)) = T(x,y).
T(x,y * T(x,z)) = T(x,x * y).
T(x,x * y) = T(x,y * T(x,z)).
T(x,x * (y / T(x,z))) = T(x,y).
a(T(x,y),z,T(T(x,z),u)) = (T(x,x * z) * u) \ (T(x,z) * u).
(T(x,x * y) * z) \ (T(x,y) * z) = a(T(x,u),y,T(T(x,y),z)).
T(T(x,y),T(x,z) * u) = T(T(x,x * u),y).
T(T(x,x * y),z) = T(T(x,z),T(x,u) * y).
T(x,x * (T(x,y) \ z)) = T(x,z).
T(x,y) = T(x,x * (T(x,z) \ y)).
T(x,T(x,y) * z) = T(x,x * z).
T(x,T(x,y) * z) = L(T(x,z),z,x).
L(T(x,y),y,x) = T(x,T(x,z) * y).
T(L(x,y,x),y) = T(x,T(x,z) * y).
T(x,y \ T(z,z \ u)) = T(x,y \ T(z,u)).
T(x,((y * z) / y) \ y) = T(x,y / z).
T(x,y / z) = T(x,((y * z) / y) \ y).
T(x,K(y \ 1,z)) = T(x,K(z / y,z)).
T(x,K(y / z,z)) = T(x,K(y / z,y)).
T(x,K(y / z,y)) = T(x,K(y / z,z)).
T(x,K(y,y \ z)) = T(x,K(y,z)).
T(x,K(y,z)) = T(x,K(y,y \ z)).
x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y).
(x \ y) * a(z,u,z) = x \ (a(z,u,z) * y).
T(x,y / T(z,y)) = T(x,z \ y).
T(x,T(y,y * (1 / (1 / z))) / (y * (1 / (1 / z)))) = T(x,L(1 / z,z,y)).
L(T(x,y),z,T(x,u)) = T(L(x,z,x),y).
L(x,y,T(x,z)) = L(x,y,x).
L(x,y,x) = L(x,y,T(x,z)).
T(x,R(T(y,R(y,z,u) \ w),z,u)) = T(x,T(R(y,z,u),w)).
T(x,T(y,y * z)) = T(x,T(y,z)).
T(x,T(y,z)) = T(x,T(y,y * z)).
T(x,(y * z) / y) = T(x,y * (z / y)).
T(x,y * (z / y)) = T(x,(y * z) / y).
T(x,K(y \ z,y)) = T(x,K(z,y)).
T(x,K(y,y * z)) = T(x,K(y,z)).
T(x,a(y,z,y) * u) = T(x,u).
T(x,y) = T(x,a(z,u,z) * y).
T(x,a(y,z,y) \ u) = T(x,u).
(1 / (x * (a(y,z,y) \ u))) / (a(y,z,y) / (u * x)) = K(u,a(y,z,y) \ x).
(x / (a(y,z,y) \ u)) \ (T(x * a(y,z,y),u) / u) = K(x * a(y,z,y),u).
(x \ (y * (a(z,u,z) \ w))) * a(z,u,z) = x \ (y * w).
1 / (x * (a(y,z,y) \ u)) = a(y,z,y) / (x * u).
a(x,y,x) \ (z * u) = z * (u / a(x,y,x)).
a(x,y,x) * (z / a(x,y,x)) = z.
L(x,T(T(y,a(z,u,z)) * a(z,u,z),y),w) = L(x,T(y,a(z,u,z)),w).
a(x,T(T(y,a(z,u,z)) * a(z,u,z),y),w) = a(x,T(y,a(z,u,z)),w).
T(x,y \ R(z,u,z)) = T(x,y \ z).
T(x,K(y * z,z)) = T(x,K(y,z)).
T(x,T(y,z) / z) = T(x,z \ y).
T(x,y / a(z,u,z)) = T(x,y).
T(x,y) = T(x,y / a(z,u,z)).
(a(x,y,T(T(x,z),(z * u) \ 1)) \ u) * a(x,y,x) = L(u,z,a(x,y,x)).
T(a(x,y,x) * T(z,u),a(x,y,x)) = T(z * a(x,y,x),T(u,a(x,y,x))).
(x / y) * (y / a(z,u,z)) = a(z,u,z) \ x.
(T(x,x * y) * z) \ (T(x,y) * z) = a(x,y,x).
L(x,y,T(x,z)) = a(x,y,x) \ x.
a(x,y,x) \ x = L(x,y,T(x,z)).
R(a(x,y,x),x * z,u) = a(R(x,z,u),y,x).
T(x,T(y,y \ z)) = T(x,T(y,z)).
T(x,R(y,z,y)) = T(x,y).
T(x,y) = T(x,R(y,z,y)).
T(x,T(y / z,y)) = T(x,z \ y).
K(x,y / a(z,u,z)) = (x \ 1) \ (((y * x) / y) \ 1).
(x \ 1) \ (((y * x) / y) \ 1) = K(x,y / a(z,u,z)).
(x / (y \ T(x,y))) * a(y,z,y) = R(T(y,x),z,y).
T(x,y * a(z,u,z)) = T(x,y).
T(x,y) = T(x,y * a(z,u,z)).
T(x,L(y,z,y)) = T(x,y).
(a(x,y,x) \ z) * u = z * (a(x,y,x) \ u).
x * (a(y,z,y) \ u) = (a(y,z,y) \ x) * u.
T(x,y) * a(z,u,z) = a(z,u,z) * T(x,y).
a(x,y,x) * T(z,u) = T(z,u) * a(x,y,x).
x / a(y,z,y) = a(y,z,y) \ x.
a(x,y,T(x,z)) = a(x,y,x).
a(x,y,x) = a(x,y,T(x,z)).
T(x,a(y,z,y)) = x.
T(x,a(y,z,y)) = (x / z) * z.
T(x,a(y,z,y)) = (x / z) * (z * 1).
(x / y) * (y * 1) = T(x,a(z,y,z)).
K(K(x,y),z * T(y,x)) = K(K(x,y),z * y).
K(K(x,y),z * y) = K(K(x,y),z * T(y,x)).
K(K(x,y),K(y,x) * z) = K(K(x,y),z).
K(K(x,y),z) = K(K(x,y),K(y,x) * z).
K(K(x,y) * z,y) * T(y,y * (z * K(x,y))) = L(y,z * K(x,y),y).
((K(x,y) \ z) \ z) * K(y,x) = K(K(x,y),z).
(K(x,y) \ z) \ z = T(K(x,y),z).
x / T(K(y,z),x) = K(y,z) \ x.
K(x,y) \ z = z / T(K(x,y),z).
T(x,K(y,x) * z) = T(x,z * K(y,x)).
T(x,y * K(z,x)) = T(x,K(z,x) * y).
K(K(x,y) * z,y) = K(z * K(x,y),y).
K(x * K(y,z),z) = K(K(y,z) * x,z).
T(x * K(y,z),K(z,y)) = K(y,z) * x.
(K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)).
K(x,y) * (z * K(y,u)) = (K(x,y) * z) * K(y,u).
R(K(x,y),z,K(y,u)) = K(x,y).
K(x,y) = R(K(x,y),z,K(y,u)).
(K(x,y) \ z) * K(x,y) = T(z,K(x,y)).
T(x,K(y,z)) = (K(y,z) \ x) * K(y,z).
T(K(x,y) * z,K(x,y)) = z * K(x,y).
x * K(y,z) = T(K(y,z) * x,K(y,z)).
R(K(x,y),z,K(u,y)) = K(x,y).
K(x,y) = R(K(x,y),z,K(u,y)).
R(K(x,y),z,K(y \ 1,u)) = K(x,y).
T(T(x,L(y \ 1,z,u)),a(w,y,y)) = T(x,L(L(y \ 1,z,u),y,w)).
x \ (y * ((y * K(z,x)) / y)) = (x \ T(y,K(z,x))) * K(z,x).
T(x,y) \ (x * K(T(x,z),y)) = K(T(x,y),z) * K(z,x).
L(x,y,z) \ (u * K(w,x)) = (L(x,y,z) \ u) * K(w,x).
x \ (y * K(z,x)) = (x \ y) * K(z,x).
R(T(x,y),z,K(u,x)) = T(x,y).
R(x,y,K(z,x)) = x.
x = R(x,y,K(z,x)).
R(K(x,y),z,K(y \ 1,u)) = K(x,(y \ 1) \ 1).
K(x,(y \ 1) \ 1) = R(K(x,y),z,K(y \ 1,u)).
x \ (y * K(x,z)) = (x \ y) * K(x,z).
K(L(x / y,y,z / y) * T(y,u),y) = K(y * ((z \ ((z / y) * x)) * K(y,u)),y).
R(x,y,K(x,z)) = x.
(x * y) * K(x,z) = x * (y * K(x,z)).
x * (y * K(x,z)) = (x * y) * K(x,z).
K(x,L(y,y,z)) * (z * T(y,x)) = K(x,y) * ((z * y) * K(y,x)).
(x * T(y,z)) * K(K(y,z),x * y) = K(y,L(z,y,x)) * (x * y).
K(x,L(y,x,z)) \ 1 = L(K(y,x),x,z).
L(K(L(x,y,x),z),x,x * y) = L(K(x,L(z,x,y)),y * x,x).
L(K(x,L(y,x,z)),z * x,x) = L(K(L(x,z,x),y),x,x * z).
(x * K(x,L(y,z,u))) / R(x,y,x) = L(K(x,x * y),z,u).
(x * (y * K(z,u))) \ (x * R(y,K(z,u),K(u,z))) = K(u,L(z,y * K(z,u),x)).
a(x,y,K(z,u)) * (K(u,z) * w) = (K(z,L(u,y,x)) \ 1) * w.
K(x,K(x,L(y,z,K(x,y))) * z) = K(x,z * K(x,y)).
K(x,L(y,K(y,z),K(z,y))) / (K(x,y) * K(y,z)) = K(z,y).
K(x,L(y,K(y,x),z)) \ z = T(z * K(y,x),K(x,y)).
T(x,L(y \ 1,z,u) \ 1) = (K(y,L(x,z,u)) / x) \ 1.
K(x,L(y,x,x \ z)) = z \ ((z / x) * T(x,y)).
(K(x,L(y,z,u)) / T(x,y)) * x = a(u,z,K(x,y)) \ 1.
K(x,L(y,z,u * K(z,u))) = u * (R(u,z,K(x,y)) \ K(x,y)).
K(x,L(y,T(y,x),z / T(y,x))) = z \ ((z / T(y,x)) * y).
(x * y) \ (x * T(y,z)) = K(y,L(z,y,x)).
(x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)).
K(a(x,y,z),u) * K(u * z,z) = L(K(z * u,z),y,x).
L(K(x,y),z,u) = K(x,L(y,z,u)).
T(x,a(y,z,z \ 1) \ 1) = T(x,a(y,z,z)).
a(x,y,K(z,x)) = 1.
1 = a(x,y,K(z,x)).
(x * (y * K(x,z))) * 1 = (x * y) * K(x,z).
a(x \ 1,x,y) \ a(z / (z * x),x,y) = a(x \ 1,x,K(z,y)).
(x / y) * (y * a(z,y,K(x,z))) = T(x,a(z,y,z)).
a(x,y,K(x * T(z,a(x,y,u)),u)) = K(x * z,a(x,y,u)).
a(x,y,K(z * (a(x,y,u) \ w),u)) = K(z * T(w,a(x,y,u)),a(x,y,u)).
K(x \ ((y \ 1) * (y * x)),z) = a(y \ 1,y,K(z,x)).
a(x,y,K(K(z,u),w)) = K(u,K(a(x,y,w),z)).
a(x,y,K(z,T(u,(x * y) \ 1))) = K(z,x \ R(x,y,u)).
a(x,x \ 1,K((x \ 1) \ (a(x,x \ 1,y) \ z),y)) = K(z,a(x,x \ 1,y)).
a(x,y,z \ 1) \ a(x,y,u / (u * z)) = a(x,y,K(u,z \ 1)).
a(x,y,K(z,u)) * z = T(z,a(x,y,u)).
T(x,a(y,z,u)) = a(y,z,K(x,u)) * x.
a(x,y,K(z,u)) \ w = K(a(x,y,u),z) * w.
x * a(y,z,K(x,u)) = T(x,a(y,z,u)).
a(x,y,K(x,z)) = 1.
a(x / y,y / x,K(z,x)) = K(z,(x / y) * (y / x)).
a(x,y,K(z,u)) = K(z,a(x,y,u)).
a(x,y,K(z,u)) * K(u,z) = K(L(u,y,x),z).
K(x * y,a(z,u,x)) = a(z,u,K(y,x)).
a(x,y,K(z,u)) = K(u * z,a(x,y,u)).
(x * y) * a(z,u,K(y,x)) = T(x * y,a(z,u,x)).
L(x,y,z) * (u * a(z,y,x)) = (x * u) * a(z,y,K(u,x)).
L(x,y,z) * ((u / (x \ 1)) * (L(x,y,z) \ 1)) = (x * u) * a(z,y,K(u,x)).
(1 / (L(x,y,z) \ 1)) * ((u / (x \ 1)) * (L(x,y,z) \ 1)) = (x * u) * a(z,y,K(u,x)).
L(x * ((x * y) \ y),z,u) \ (y / (x \ 1)) = (1 / (L(x,z,u) \ 1)) * ((y / (x \ 1)) * (L(x,z,u) \ 1)).
((x / (y \ 1)) / (x * a(z,u,y))) * (L(y,u,z) \ 1) = L(y * ((y * x) \ x),u,z).
L(x * ((x * y) \ y),z,u) = ((y / (x \ 1)) / (y * a(u,z,x))) * (L(x,z,u) \ 1).
L(x * ((y / (x \ 1)) \ (x \ (y / (x \ 1)))),z,u) = ((y / (x \ 1)) / (y * a(u,z,x))) * (L(x,z,u) \ 1).
L(x,y,z) * (u \ (L(x,y,z) \ u)) = L(x * (u \ (x \ u)),y,z).
L(x * (y \ (x \ y)),z,u) = L(x,z,u) * (y \ (L(x,z,u) \ y)).
L((x / (x * (y \ 1))) * (y \ 1),z,u) = L(y,z,u) * (x \ (L(y,z,u) \ x)).
L((x / (x * (1 / y))) * (1 / y),z,u) = L(y,z,u) * (x \ (L(y,z,u) \ x)).
L(1 / x,y,z) \ L(u / (u * x),y,z) = L((u / (u * x)) * x,y,z).
L(x \ 1,y,z) * (u \ (L(x \ 1,y,z) \ u)) = L(1 / x,y,z) \ L(u / (u * x),y,z).
L(1 / x,y,z) \ L(u / (u * x),y,z) = L(x \ 1,y,z) * (u \ (L(x \ 1,y,z) \ u)).
L(1 / x,y,z) * (u \ (L(1 / x,y,z) \ u)) = L(1 / x,y,z) \ L(u / (u * x),y,z).
L(1 / x,y,z) \ L(u / (u * x),y,z) = L(1 / x,y,z) * (u \ (L(1 / x,y,z) \ u)).
x / (x * (y * a(z,u,y \ 1))) = L(x / (x * y),u,z).
L(1 / (1 / x),y,z) \ L(u / (u * (1 / x)),y,z) = L(x,y,z) * (u \ (L(x,y,z) \ u)).
x / L(L(y \ 1,y,x),z,u) = x * (y * a(u,z,y \ 1)).
L(x / (x * (1 / y)),z,u) = x / (x * (1 / L(y,z,u))).
x / (x * (1 / L(y,z,u))) = L(x / (x * (1 / y)),z,u).
x / L(L(y,y \ 1,x),z,u) = x * (1 / L(y,z,u)).
(x * y) * a(z,u,y \ 1) = x * (y * a(z,u,y \ 1)).
L(a(x,y,z \ 1),z,u) = a(x,y,z \ 1).
L(a(x,y,z),1 / z,u) = a(x,y,z).
a(x,y,z) = L(a(x,y,z),1 / z,u).
(x * (1 / y)) * a(z,u,y) = x * (1 / L(y,u,z)).
(x * (1 / y)) \ (x * (1 / L(y,z,u))) = a(u,z,y).
T(x,(y / x) * T(x,z)) = T(x,y * K(x,z)).
K(L(x / y,y,z / y) * T(y,u),y) = K((y * (z \ ((z / y) * x))) * K(y,u),y).
K((x / y) * T(y,z),y) = K(x * K(y,z),y).
T(x,(y / x) * T(x,z)) = T(x,y * (T(x,z) / x)).
T(x,y * (T(x,z) / x)) = T(x,(y / x) * T(x,z)).
T(x,x \ (y * z)) = T(x,y * (z / x)).
T(x,y * (z / x)) = T(x,x \ (y * z)).
K(K(x,y) * ((y \ 1) * z),y) = K(K(x,y) * (z / y),y).
K((x / y) * T(y,z),y) = K(x * (T(y,z) / y),y).
K(x * (T(y,z) / y),y) = K((x / y) * T(y,z),y).
K(x * (y / z),z) \ z = T(z,z \ (x * y)).
T(x,x \ (y * z)) = K(y * (z / x),x) \ x.
K(x \ (y * z),x) = K(y * (z / x),x).
K(x * (y / z),z) = K(z \ (x * y),z).
K(x / L(y,z,u),y) = K(y \ x,y).
K(x / L(y,z,u),y) = K(x * (y \ 1),y).
K(x / L(y,z,u),y) = K(x * (1 / y),y).
K(T(x * (1 / y),y),y) = K(x / L(y,z,u),y).
K(x \ R(y,x \ 1,x),x) = K(y / L(x,z,u),x).
(R(x,y \ 1,y) / y) \ (x * (1 / L(y,z,u))) = a(u,z,y).
R(x,L(y,z,u) \ 1,y) = R(x,y \ 1,y).
R(x,L(y,z,u) \ 1,y) * 1 = R(x,y \ 1,y).
R(x,L(y,z,u) \ 1,L(y,z,u)) = R(x,y \ 1,y).
R(x,L(y,z,u) \ 1,L(y,z,u)) * 1 = R(x,y \ 1,y).
R(x,1 / L(y,z,u),L(y,z,u)) * 1 = R(x,y \ 1,y).
R(x,1 / L(y,z,u),L((1 / y) \ 1,z,u)) * 1 = R(x,y \ 1,y).
R(x,1 / L(y,z,u),L(1 / (1 / y),z,u)) * 1 = R(x,y \ 1,y).
R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1 = R(x,y \ 1,y).
((x * (y \ 1)) * y) / K(y \ 1,y) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
((x * (y \ 1)) * y) / L(K(y \ 1,y),1,R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u))) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
((x * (y \ 1)) * y) / L(K(L(y,z,u) \ 1,L(y,z,u)),1,R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u))) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
((x * (y \ 1)) * y) / L(K(1 / L(y,z,u),L(y,z,u)),1,R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u))) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
((x * (y \ 1)) * y) / L(K(1 / L(y,z,u),L((1 / y) \ 1,z,u)),1,R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u))) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
((x * (y \ 1)) * y) / L(K(1 / L(y,z,u),L(1 / (1 / y),z,u)),1,R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u))) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
((x * (y \ 1)) * y) / L(K(L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)),1,R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u))) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = a(z,K(y,x),x).
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = a(z,K(x,y \ 1),x).
a(x,K(y,z \ 1),y) = T(y,y * z) \ ((x \ ((x / y) * T(y,z))) * L(y,z,y)).
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = a(z,K(x,y),x) \ 1.
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = a(z / x,x,K(x,y)) \ 1.
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = K(y,x) * L(K(x,y),x,z / x).
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = K(y,x) * L(T(K(x,y),L(x,y,x)),x,z / x).
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = K(y,x) * T(L(K(x,y),x,z / x),L(x,y,x)).
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = K(y,x) * T(L(K(x,y),x,z / (T(x,y) * K(y,x))),L(x,y,x)).
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = K(y,x) * T(L(K(x,y),T(x,y) * K(y,x),z / (T(x,y) * K(y,x))),L(x,y,x)).
T(x,x * y) \ ((z \ ((z / x) * T(x,y))) * L(x,y,x)) = K(y,x) * T(L(K(y,x) \ 1,T(x,y) * K(y,x),z / (T(x,y) * K(y,x))),L(x,y,x)).
R(x * ((y * z) \ R(y * z,u,w)),y / (z \ R(z * y,u,w)),z \ R(z * y,u,w)) = (x * (z \ R(z * y,u,w))) / y.
R(x / (R(y * z,u,w) \ (y * z)),y / (z \ R(z * y,u,w)),z \ R(z * y,u,w)) = (x * (z \ R(z * y,u,w))) / y.
x / (y \ R(y * x,z,u)) = R(x * y,z,u) \ (x * y).
x / (R(x * y,z,u) / y) = R(x * y,z,u) \ (x * y).
(x / y) / (R(x,z,u) / y) = R(x,z,u) \ x.
(x / y) / (y \ R(y * (x / y),z,u)) = R(x,z,u) \ x.
R(x,y,z) \ x = (x / u) / (u \ R(u * (x / u),y,z)).
R((x / y) / (1 / y),z,u) \ ((x / y) / (1 / y)) = R(x,z,u) \ x.
R(x,y,z) \ x = R((x / u) / (1 / u),y,z) \ ((x / u) / (1 / u)).
((x / y) / (1 / y)) / R((x / y) / (1 / y),z,u) = R(x,z,u) \ x.
(x / a(x,y \ 1,y)) / R((x / y) / (1 / y),z,u) = R(x,z,u) \ x.
(x / a(R(x,y,z),u \ 1,u)) / R((x / u) / (1 / u),y,z) = R(x,y,z) \ x.
R((x / y) / (1 / y),z,u) = (R(x,z,u) / y) / (1 / y).
R((x / ((y \ 1) \ 1)) / (y \ 1),z,u) = (R(x,z,u) / y) / (1 / y).
R((x / (L(y \ 1,z,u) \ 1)) / L(y \ 1,z,u),w,v5) = (R(x,w,v5) / y) / (1 / y).
R((x / (a(y,z,u \ 1) * T(u,u \ 1))) / L(u \ 1,z,y),w,v5) = (R(x,w,v5) / u) / (1 / u).
R((x / (L(1 / y,z,u) \ K(y,y \ 1))) / L(y \ 1,z,u),w,v5) = (R(x,w,v5) / y) / (1 / y).
R((K(x \ 1,x) * (y / (L(1 / x,z,u) \ 1))) / L(x \ 1,z,u),w,v5) = (R(y,w,v5) / x) / (1 / x).
R((L(x \ 1,y,z) * (L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)))) / L(x \ 1,y,z),w,v5) = (R(u,w,v5) / x) / (1 / x).
(L(x \ 1,y,z) * R(L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)),w,v5)) / L(x \ 1,y,z) = (R(u,w,v5) / x) / (1 / x).
(L(x \ 1,y,z) * R(L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)),w,v5)) / L(x \ 1,y,z) = (R(u,w,v5) / ((1 / x) \ 1)) / (1 / x).
K(a(x,x \ 1,y),z) * T(z,x \ y) = T(z,(x \ 1) * y).
(((x \ 1) * y) \ (z * (x \ y))) / a(x,x \ 1,y) = K(a(x,x \ 1,y),z) * T(z,x \ y).
K(a(x,x \ 1,y),z) * T(z,x \ y) = (((x \ 1) * y) \ (z * (x \ y))) / a(x,x \ 1,y).
K(a(x,x \ 1,y),z) * T(z,x \ y) = (((x \ 1) * y) \ (z * (x \ y))) * (a(x,x \ 1,y) \ 1).
K(a(x,x \ 1,y),z) * R(T(z,x \ y),a(x,x \ 1,y),a(x,x \ 1,y) \ 1) = (((x \ 1) * y) \ (z * (x \ y))) * (a(x,x \ 1,y) \ 1).
x / ((a(y,z,u) / x) \ 1) = (1 / x) \ (a(y,z,u) / x).
x * ((x / y) * (x \ y)) = y / ((x / y) \ 1).
x / ((y / x) \ 1) = y * ((y / x) * (y \ x)).
((x / y) \ x) / ((x / y) \ 1) = x * ((x / y) * (x \ y)).
x * ((x / y) * (x \ y)) = ((x / y) \ x) / ((x / y) \ 1).
x * (y * (x \ (y \ x))) = (y \ x) / (y \ 1).
(x \ y) / (x \ 1) = y * (x * (y \ (x \ y))).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (y \ x) / (y \ 1).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = K(y \ 1,x) * ((y \ 1) \ (y \ x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = K(y \ 1,x) * (x * a(y,y \ 1,x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (x * K(y \ 1,x)) * a(y,y \ 1,x).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (x * K(y \ 1,x)) * (y * ((y \ x) / x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (x * K(y \ 1,x)) * (y * ((((y \ x) / x) / x) * x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = x * (y * (x \ (y \ x))).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = x * (a(y,y \ 1,x) * K(y \ 1,x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = a(y,y \ 1,x) * (x * K(y \ 1,x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (y * ((y \ x) / x)) * (x * K(y \ 1,x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (y * ((((y \ x) / x) / x) * x)) * (x * K(y \ 1,x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (x * K(y \ 1,x)) * (y * (((x \ (y \ x)) / (x * K(y \ 1,x))) * x)).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (y * (((x \ (y \ x)) / (x * K(y \ 1,x))) * x)) * (x * K(y \ 1,x)).
x * a(y,z,K(z,u \ 1)) != u / a(y,z,z \ 1) | a(y,z,z \ 1) \ u = x.
x / a(y,z,z \ 1) != u * a(y,z,K(z,x \ 1)) | a(y,z,z \ 1) \ x = u.
(a(x,y,y \ 1) \ z) * a(x,y,K(y,z \ 1)) = z / a(x,y,y \ 1).
x / (x * a(y,K(x,z),z)) = a(y,K(z,x),z).
a(x,K(y,z),y) = z / (z * a(x,K(z,y),y)).
a(x,K(y,a(x,y \ 1,y) * z),y) = z / (z * a(x,K(z,y),y)).
x / (x * a(y,K(x,z),z)) = a(y,K(z,a(y,z \ 1,z) * x),z).
K(a(x,y \ 1,y) * z,a(x,y \ 1,y)) = z / (z * a(x,K(z,y),y)).
x / (x * a(y,K(x,z),z)) = K(a(y,z \ 1,z) * x,a(y,z \ 1,z)).
K(a(x,y \ 1,y) \ 1,a(x,y \ 1,y) * z) = z / (z * a(x,K(z,y),y)).
a(x,y,K(y,z \ 1)) * (a(x,y,y \ 1) \ z) = (a(x,y,y \ 1) \ z) * a(x,y,K(y,z \ 1)).
L(K(x,y),y,z) * (z * T(y,x)) = K(x,y) * ((z * y) * K(y,x)).
(L(K(x,y),x,z) \ 1) * (z * T(x,y)) = K(y,x) * ((z * x) * K(x,y)).
x * (a(x,y,K(y,z)) * u) = R(x,y,K(y,z)) * u.
R(x,y,K(y,z)) * u = x * (a(x,y,K(y,z)) * u).
x * a(x,y,K(y,z)) = R(x,y,K(y,z)).
x \ R(x,y,K(y,z)) = a(x,y,K(y,z)).
L(a(x,y,K(y,z)),K(y,z),x * y) = x \ R(x,y,K(y,z)).
L(L(K(x,y),x,z) \ K(x,y),K(x,y),z * x) = z \ R(z,x,K(x,y)).
x \ R(x,y,K(y,z)) = L(L(K(y,z),y,x) \ K(y,z),K(y,z),x * y).
a(x,y,K(y,z \ 1)) * (a(x,y,y \ 1) \ z) = z / a(x,y,y \ 1).
(x * T(y,z)) * K(K(y,z),x * y) = L(K(y,z),y,x) * (x * y).
K(L(K(x,y),x,z),z * x) = K(K(x,y),z * x).
K(K(x,y),z * x) = K(L(K(x,y),x,z),z * x).
L(T(x * y,K(y,z)),K(y,z),K(z,y)) = (L(K(y,z),y,x) \ 1) * (x * T(y,z)).
T(x * y,K(y,z)) \ (x * y) = K(L(K(y,z),y,x),x * y).
K(L(K(x,y),x,z),z * x) = T(z * x,K(x,y)) \ (z * x).
T(x * y,L(K(y,z),y,x)) = T(x * y,K(y,z)).
T(x * y,K(y,z)) = T(x * y,L(K(y,z),y,x)).
T((x * T(y,z)) / L(K(y,z),y,x),K(y,z)) = T(x * y,L(K(y,z),y,x)).
x * (((y * z) / y) * a(x,K(y,z),z)) = (x * K(y,z)) * z.
x * (((y * z) / y) * a(x,z,K(y,z))) = (x * z) * K(y,z).
L(K(x,y),x,z) \ 1 = L(K(y,x),x,z).
(x * y) * a(z,K(u,w),w) = x * (y * a(z,K(u,w),w)).
L(a(x,K(y,z),z),u,w) = a(x,K(y,z),z).
L(a(x,K(y,z),z),u,w) = K(a(x,z \ 1,z),y).
L(a(x,K(y,z),z),u,w) = K(a(x,z \ 1,z) * 1,y).
((x * y) * K(y,z)) \ ((R(x,y,K(y,z)) * y) * K(y,z)) = x \ R(x,y,K(y,z)).
(x * y) * a(z,u,K(w,u)) = x * (y * a(z,u,K(w,u))).
x * (y * a(z,u,K(w,u))) = (x * y) * a(z,u,K(w,u)).
R(x,y,a(z,u,K(w,u))) = x.
x * (T(y,z) * a(x,y,K(y,z))) = (x * y) * K(y,z).
R(x,y,a(z,u,K(u,w))) = x.
R(x,y,K(z,y)) \ x = a(x,y,K(y,z)).
a(x,y,K(y,z)) = R(x,y,K(z,y)) \ x.
R(x,y,K(z,y)) \ x = a(x,y,K(y,z)) * 1.
K(x,y) * (a(z,y,K(y,x)) * u) = L(K(x,y),y,z) * u.
a(x,y,K(z,y)) \ u = a(x,y,K(y,z)) * u.
K(((x * y) \ x) \ 1,z) * (K(y,z) \ u) = a(x,y,K(z,y)) * u.
a(x,y,K(y,z)) \ u = a(x,y,K(z,y)) * u.
a(x,y,K(z,y)) * u = a(x,y,K(y,z)) \ u.
T(x,y * (z \ (z / y))) = a(z,K(x,y),y) * x.
K(a(x,y \ 1,y) \ 1,a(x,y \ 1,y) * z) = z / (z * a(x,K(a(x,y \ 1,y) * z,y),y)).
x / (x * a(y,K(a(y,z \ 1,z) * x,z),z)) = K(a(y,z \ 1,z) \ 1,a(y,z \ 1,z) * x).
L(a(x,K(y,z),z),u,w) = K(((x \ (x / z)) * z) \ 1,y).
K(x,y * (z \ (z / y))) = a(z,K(x,y),y).
K(x,(y \ (y / z)) * z) = a(y,K(x,z),z).
K(a(x,y \ 1,y),z) = a(x,K(z,y),y).
a(x,K(y,z),z) = K(a(x,z \ 1,z),y).
a(x,K(y,z \ 1),y) = a(x,K(z,y),y).
R(x,K(y,z),y) \ x = a(x,K(z,y),y).
a(x / y,y,K(z,y)) = R(x,K(y,z),y) \ x.
R(x,y,K(y,z)) \ x = a(x,y,K(z,y)).
a(x,y,K(y,z \ 1)) = R(x,y,K(y,z)) \ x.
R(x,y,K(y,z)) \ x = a(x,y,K(y,z \ 1)).
a(x,y,K(y,z \ 1)) \ u = a(x,y,K(y,z)) * u.
a(x,K(y,z \ 1),y) = R(x,K(y,z),y) \ x.
R(x,K(y,z),y) \ x = a(x,K(y,z \ 1),y).
a(x,y,z * a(u,w,K(v5,w))) = a(x,y,z).
T(x,a(y,z,z \ 1) \ 1) = x * a(y,z,K(x,z)).
a(x,y,K(y,z \ 1)) = a(x,y,K(y,z)) \ 1.
K(a(x,y,y \ 1),z) = a(x,y,K(z,y)).
K(a(x,y,y \ 1),z) * (a(x,y,y \ 1) \ z) = (a(x,y,y \ 1) \ z) * a(x,y,K(y,z \ 1)).
a(x,y,K(y,z \ 1)) * (T(z,a(x,y,y \ 1)) / a(u,w,v5)) = z / a(u,w,v5).
(K(x,y) \ (z * T(x,y))) * a(z,x,K(x,y)) = T(z * x,L(K(x,y),x,z)).
a(x,K(y,z \ 1),y) = a(x,K(y,z),y) \ 1.
a(x,y,K(y,z \ 1)) = K(a(x,y,y \ 1),z).
K(a(x,y,y \ 1),z) * u = a(x,y,K(y,z)) \ u.
a(x,y,K(y,z)) \ u = K(a(x,y,y \ 1),z) * u.
K(a(x,y,y \ 1),z) = a(x,y,K(y,z)) \ 1.
a(x,y,K(y,z)) \ 1 = K(a(x,y,y \ 1),z).
K(x,a(y,z,z \ 1)) = a(y,z,K(z,x)).
a(x,y,T(K(y,z),x * y)) = a(x,y,K(y,z)).
a(x,y,K(y,z)) = a(x,y,T(K(y,z),x * y)).
(x * y) * a(z,u,K(u,w)) = x * (y * a(z,u,K(u,w))).
L(a(x,y,K(y,z)),u,w) = a(x,y,K(y,z)).
a(x,y,a(z,u,K(u,w))) = 1.
a(x,y,a(z,K(u,w),u)) = 1.
a(x,K(y,z \ 1),y) = K(a(x,y \ 1,y),z).
K(x,a(y,z,z \ 1)) = a(y * z,K(z,x),z).
a(x * y,K(y,z),y) = K(z,a(x,y,y \ 1)).
T(x,a(y,z \ 1,z)) = a(y,K(z,x),z) * x.
K(a(x,y \ 1,y),z) = a(x,K(y,z),y) \ 1.
a(x,K(y,z),y) \ 1 = K(a(x,y \ 1,y),z).
K(x,a(y,z \ 1,z)) = a(y,K(z,x),z).
a(x,K(y,z),y) = K(z,a(x,y \ 1,y)).
K(x,y * a(z,y \ 1,y)) * K(y,x) = a(z,K(y,x),y).
K(x,y * a(z,y \ 1,y)) * K(y,x) = a(z / y,y,K(y,x)).
K(x,y * a(z,y \ 1,y)) * K(y,x) = a(z / y,y,K((y \ 1) \ 1,x)).
K(x,y * a(z,y \ 1,y)) * K((y \ 1) \ 1,x) = a(z / y,y,K((y \ 1) \ 1,x)).
K(x,L(y,z,u) \ 1) * K(y \ 1,x) = a(u,z,K(y \ 1,x)).
(K(L(x,y,z) \ 1,u) \ 1) * K(x \ 1,u) = a(z,y,K(x \ 1,u)).
1 * ((K(L(x,y,z) \ 1,u) \ 1) * K(x \ 1,u)) = a(z,y,K(x \ 1,u)).
T(x,x * y) \ ((z \ ((z / (T(x,y) * K(y,x))) * T(x,y))) * L(x,y,x)) = K(y,x) * T(L(K(y,x) \ 1,T(x,y) * K(y,x),z / (T(x,y) * K(y,x))),L(x,y,x)).
T(x,x * y) \ (L(z,K(y,x),T(x,y)) * L(x,y,x)) = K(y,x) * T(z,L(x,y,x)).
T(x,x * y) \ (L(z,K(y,x),T(x,y)) * L(x,y,x)) = K(y,x) * T(z,T(x,x * y) * K(y,x)).
L(x,K(y,z),T(z,z * y)) = L(x,K(y,z),T(z,y)).
T(x,y) * (x \ (K(y,x) * z)) = L(z,K(y,x),T(x,x * y)).
L(x,K(y,z),T(z,z * y)) = T(z,y) * (z \ (K(y,z) * x)).
T(x,x * y) * (L(x,y,x) \ (K(y,x) * z)) = L(z,K(y,x),T(x,x * y)).
T(x,x * y) * (L(x,y,x) \ (K(y,x) * z)) = L(z,K(y,x),L(x,y,x) * K(x,y)).
L(x,K(y,z),L(z,y,z) * K(z,y)) = T(z,z * y) * (L(z,y,z) \ (K(y,z) * x)).
L(x,T(y,y * z) \ L(y,z,y),L(y,z,y) * K(y,z)) = T(y,y * z) * (L(y,z,y) \ (K(z,y) * x)).
L(x,(L(y,z,y) * K(y,z)) \ L(y,z,y),L(y,z,y) * K(y,z)) = T(y,y * z) * (L(y,z,y) \ (K(z,y) * x)).
L(x,(L(y,z,y) * K(y,z)) \ L(y,z,y),L(y,z,y) * K(y,z)) = L(y,z,y) \ (T(y,y * z) * (K(z,y) * x)).
L(x,(L(y,z,y) * K(y,z)) \ L(y,z,y),L(y,z,y) * K(y,z)) = L(y,z,y) \ (T(y,y * z) * ((T(y,y * z) \ L(y,z,y)) * x)).
L(x,(L(y,z,y) * K(y,z)) \ L(y,z,y),L(y,z,y) * K(y,z)) = L(y,z,y) \ (T(y,y * z) * ((L(y,z,y) * (T(y,y * z) \ 1)) * x)).
L(x,y,x) \ (T(x,x * y) * ((L(x,y,x) * (T(x,x * y) \ 1)) * z)) = L(z,(L(x,y,x) * K(x,y)) \ L(x,y,x),L(x,y,x) * K(x,y)).
K(x / ((x \ y) * x),z) = T(K(x / y,z),x).
T(x / ((x \ y) * x),z) * ((x / ((x \ y) * x)) \ 1) = T(K(x / y,z),x).
T(x / ((x \ y) * x),z) * ((x / ((x \ y) * x)) \ 1) = K(T((x / y) \ 1,x) \ 1,z).
T((x / y) \ 1,x) * T(T((x / y) \ 1,x) \ 1,z) = T(x / ((x \ y) * x),z) * ((x / ((x \ y) * x)) \ 1).
(x / (x / y)) * ((x / y) / x) = a(y,y \ 1,x).
(x / (x / y)) * ((x / y) / x) = ((y \ 1) * x) \ (y \ x).
((x \ 1) * y) \ (x \ y) = (y / (y / x)) * ((y / x) / y).
((x / (x / y)) \ 1) * ((y \ x) * y) = (y \ 1) * x.
T((R(x,y,x) / (R(x,y,x) * K(y \ 1,z))) \ 1,R(x,y,x)) = (R(x,y,x) / (T(x * y,x) * T((y * x) \ x,z))) \ 1.
T((x / y) \ 1,x) * T(((x / ((x \ y) * x)) \ 1) \ 1,z) = T(x / ((x \ y) * x),z) * ((x / ((x \ y) * x)) \ 1).
T((x / (x * y)) \ 1,x) = (x / (y * x)) \ 1.
(x / (y * x)) \ 1 = T((x / (x * y)) \ 1,x).
(x / ((x \ y) * x)) \ 1 = T((x / y) \ 1,x).
T((x / y) \ 1,x) = (x / ((x \ y) * x)) \ 1.
(x / ((x \ y) * x)) \ 1 = x \ (((x / y) \ 1) * x).
x \ (((x / y) \ 1) * x) = (x / ((x \ y) * x)) \ 1.
x \ (((x / y) * (y / x)) \ y) = (x / ((x \ y) * x)) \ 1.
a(x \ y,y \ x,y) = (y / x) * (x / y).
(x / y) * (y / x) = a(y \ x,x \ y,x).
a(x \ y,(x \ y) \ 1,y) = (y / x) * (x / y).
(x / y) * (y / x) = a(y \ x,(y \ x) \ 1,x).
((x \ y) \ y) / (((x \ y) \ 1) * y) = (y / x) * (x / y).
((x / (x / y)) \ 1) * ((y \ x) * y) = (((x / y) \ x) \ 1) * x.
((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x.
K(x \ y,y \ x) * (((x \ y) \ 1) * y) = (1 / (y / x)) * (x * (y / x)).
(1 / (x / y)) * (y * (x / y)) = K(y \ x,x \ y) * (((y \ x) \ 1) * x).
K(x \ y,y \ x) \ (((y \ x) \ 1) * x) = (1 / (x / y)) * (y * (x / y)).
K((x \ y) \ 1,x \ y) \ (((x \ y) \ 1) * y) = (1 / (y / x)) * (x * (y / x)).
(((x \ y) \ 1) * (x \ y)) \ (((x \ y) \ 1) * y) = (1 / (y / x)) * (x * (y / x)).
(((x \ y) \ 1) * (x \ y)) \ (((x \ y) \ 1) * y) = (1 / (y / x)) * (T(x,x \ y) * (x \ y)).
(1 / (x / y)) * (T(y,y \ x) * (y \ x)) = (((y \ x) \ 1) * (y \ x)) \ (((y \ x) \ 1) * x).
(K(x \ y,x) / (x \ y)) * (T(x,x \ y) * (x \ y)) = (((x \ y) \ 1) * (x \ y)) \ (((x \ y) \ 1) * y).
(K(x \ y,T(x,x \ y)) / (x \ y)) * (T(x,x \ y) * (x \ y)) = (((x \ y) \ 1) * (x \ y)) \ (((x \ y) \ 1) * y).
(K(x,y) / x) * (y * x) = L(y,x,x \ 1).
(1 / ((x * y) / x)) * (x * y) = L(x,y,y \ 1).
L(x,y,y \ 1) = (1 / ((x * y) / x)) * (x * y).
L(x,(x * y) / x,((x * y) / x) \ 1) = L(x,y,y \ 1).
L(x,L((x * y) / x,z,u),((x * y) / x) \ 1) = L(x,y,y \ 1).
L(x,L((x * y) / x,z,u),((x * y) / x) \ 1) = L(x,(y \ 1) \ 1,y \ 1).
L(x,L((x * y) / x,z,u),((x * y) / x) \ 1) = (y \ 1) * (((y \ 1) \ 1) * x).
L(x,L((x * y) / x,z,u),((x * y) / x) \ 1) = K(y,y \ 1) * ((y \ 1) * (y * x)).
L(x,L((x * y) / x,z,u),((x * y) / x) \ 1) = K(y \ 1,y) \ ((y \ 1) * (y * x)).
L(x,L((x * y) / x,z,u),((x * y) / x) \ 1) = K(y \ 1,y) \ ((((x * y) / x) \ 1) * (x * y)).
L(x,L((x * y) / x,z,u),((x * y) / x) \ 1) = K((x * y) \ x,y) \ ((((x * y) / x) \ 1) * (x * y)).
L(x,L(y / x,z,u),(y / x) \ 1) = K(y \ x,x \ y) \ (((y / x) \ 1) * y).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = y * T(z,y * (x \ (x / y))).
((x \ (x / y)) \ 1) * (z / a(x,y \ 1,y)) = y * T(z,y * (x \ (x / y))).
x * T(y,x * (z \ (z / x))) = ((z \ (z / x)) \ 1) * (y / a(z,x \ 1,x)).
L(x,L(y / x,z,u),(y / x) \ 1) = K((y / x) \ 1,y / x) \ (((y / x) \ 1) * y).
(x \ (x / y)) \ L(z / a(x,y \ 1,y),y,y \ 1) = y * T(z,y * (x \ (x / y))).
L(x / a(y,z,u),u,u \ 1) = L(x,u,u \ 1) / a(y,z,u).
L(x,y,y \ 1) / a(z,u,y) = L(x / a(z,u,y),y,y \ 1).
L(x,L(y / x,z,u),(y / x) \ 1) = (((y / x) \ 1) * (y / x)) \ (((y / x) \ 1) * y).
L(x,L(y,z,u),y \ 1) = L(x,y,y \ 1).
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,L(x,y,z),x \ 1).
L(x,L(y,z,u),y \ 1) = (L(y,z,u) \ 1) * (L((y \ 1) \ 1,z,u) * x).
a(x,y,z) * ((z \ 1) * (L((z \ 1) \ 1,y,x) * u)) = L(u,L(z,y,x),z \ 1).
a(x,y,z) * ((z \ 1) * (L((z \ 1) \ 1,y,x) * u)) = L(u,z,z \ (a(x,y,z) \ 1)).
a(x,y,z) * ((z \ 1) * (L((z \ 1) \ 1,y,x) * u)) = L(u,(z \ 1) \ 1,z \ (a(x,y,z) \ 1)).
L(x,(y \ 1) \ 1,y \ (a(z,u,y) \ 1)) = a(z,u,y) * ((y \ 1) * (L((y \ 1) \ 1,u,z) * x)).
L(x,T(y,y \ (a(z,u,y) \ 1)),y \ (a(z,u,y) \ 1)) = a(z,u,y) * ((y \ 1) * (L((y \ 1) \ 1,u,z) * x)).
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = a(z,u,y) * ((y \ 1) * (L((y \ 1) \ 1,u,z) * x)).
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = (a(z,u,y) \ 1) \ ((y \ 1) * (L((y \ 1) \ 1,u,z) * x)).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = ((x \ (x / y)) \ 1) * (z / a(x,y \ 1,y)).
(1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)) = (((x \ (x / y)) \ 1) * z) / a(x,y \ 1,y).
((((x \ (x / y)) \ 1) * z) / ((x \ (x / y)) \ 1)) * y = (1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)).
(((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y = (1 / (x \ (x / y))) * (z / a(y \ x,y,y \ 1)).
((1 / (x \ (x / y))) * z) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
((1 / (x \ (x / y))) * R(z,y,a(x,y \ 1,y))) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
L(x \ 1,y,z) * (u \ (L(x \ 1,y,z) \ u)) = L((u / (u * x)) * x,y,z).
L((x / (x * y)) * y,z,u) = L(y \ 1,z,u) * (x \ (L(y \ 1,z,u) \ x)).
(x / (x * (L(y \ 1,z,u) \ 1))) * (L(y \ 1,z,u) \ 1) = L((x / (x * y)) * y,z,u).
L((x / (x * y)) * y,z,u) = (x / (x * (L(y \ 1,z,u) \ 1))) * (L(y \ 1,z,u) \ 1).
L(K(x,y) * a(x \ 1,x,y),z,u) = (y / (y * (L(x \ 1,z,u) \ 1))) * (L(x \ 1,z,u) \ 1).
L(K(x,y),z,u) * a(x \ 1,x,y) = (y / (y * (L(x \ 1,z,u) \ 1))) * (L(x \ 1,z,u) \ 1).
L(K(x,y),z,u) * a(x \ 1,(x \ 1) \ 1,y) = (y / (y * (L(x \ 1,z,u) \ 1))) * (L(x \ 1,z,u) \ 1).
L(K(x,y),z,u) * a(L(x \ 1,z,u),L(x \ 1,z,u) \ 1,y) = (y / (y * (L(x \ 1,z,u) \ 1))) * (L(x \ 1,z,u) \ 1).
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = (a(z,u,y) \ 1) \ ((y \ 1) * (a(z,u,y) \ (((y \ 1) \ 1) * x))).
((1 / (x \ (x / y))) * R(z,y,y \ ((x \ (x / y)) \ 1))) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
a(x,y,z * K(a(u,w,w \ 1),v5)) = a(x,y,z).
a(x,y,z / a(u,w,v5 / (v5 * w))) = a(x,y,z * K(a(u,w,w \ 1),v5)).
a(x,y,R(z / a(u,w,v5 / (v5 * w)),a(u,w,v5 * ((w \ 1) / v5)),K(a(u,w,w \ 1),v5))) = a(x,y,z * K(a(u,w,w \ 1),v5)).
a(x,y,R(z / a(u,w,v5 / (v5 * w)),(v5 * a(u,w,w \ 1)) / v5,K(a(u,w,w \ 1),v5))) = a(x,y,z * K(a(u,w,w \ 1),v5)).
a(K(L(x,y,z) \ 1,u),K(L(x,y,z) \ 1,u) \ 1,K(x \ 1,u)) = 1.
a(K(L(x,y,z) \ 1,u),K(L(x,y,z) \ 1,u) \ 1,K(x \ 1,u)) = K(L(x,y,z) \ 1,u) * (K(L(x,y,z) \ 1,u) \ 1).
a(K(L(x,y,z) \ 1,u),K(L(x,y,z) \ 1,u) \ 1,K(x \ 1,u)) = K(L(x,y,z) \ 1,u) * (L(K(x \ 1,u),y,z) \ 1).
a(x,y,R(z / a(u,w,v5 * ((w \ 1) / v5)),(v5 * a(u,w,w \ 1)) / v5,K(a(u,w,w \ 1),v5))) = a(x,y,z * K(a(u,w,w \ 1),v5)).
(x * (T(y,z) * a(x,y,K(y,z)))) \ ((R(x,y,K(y,z)) * y) * K(y,z)) = x \ R(x,y,K(y,z)).
(x * (T(y,z) * a(x,y,K(y,z)))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))) = x \ R(x,y,K(y,z)).
(x * (a(x,y,K(y,z)) * T(y,z))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))) = x \ R(x,y,K(y,z)).
(x * (a(x,y,K(y,z)) * T(y,z))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))) = a(x,y,T(K(y,z),(x * y) \ 1)).
a(x,y,T(K(y,z),(x * y) \ 1)) = (x * (a(x,y,K(y,z)) * T(y,z))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))).
(x * (a(x,y,K(y,z)) * T(y,z))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))) = ((x * y) * a(x,y,K(y,z))) / (x * y).
((x * y) * a(x,y,K(y,z))) / (x * y) = (x * (a(x,y,K(y,z)) * T(y,z))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))).
(x * (a(x,y,K(y,z)) * T(y,z))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))) = a(x,y,K(y,z)) * K(x * y,a(x,y,K(y,z))).
(x * (a(x,y,K(y,z)) * T(y,z))) \ ((x * y) * (K(y,z) * a(x,y,K(y,z)))) = a(x,y,K(y,z)) * K(x * T(y,z),a(x,y,K(y,z))).
L((x \ y) \ 1,x \ y,R(y,z,u) * (y \ x)) = y \ x.
((x * y) / R(T(x,y),z,u)) \ x = R(T(x,y),z,u) / R(y,y \ x,y).
R(T(x,y),z,u) / R(y,y \ x,y) = ((x * y) / R(T(x,y),z,u)) \ x.
(R(T(x,y),z,u) / R(y,y \ x,y)) / (y \ x) = T(x,y) \ R(T(x,y),z,u).
a(R(x,y,z),u \ 1,u) = a(x,u \ 1,u).
a(R(x,y,z),u \ 1,u) * w = a(x,u \ 1,u) * w.
a(R(x,y,z),u \ 1,(u \ 1) \ 1) * w = a(x,u \ 1,u) * w.
((x \ y) * x) \ R((x \ y) * x,z,u) = (x \ R(y,z,u)) / (x \ y).
(x \ R(y,z,u)) / (x \ y) = ((x \ y) * x) \ R((x \ y) * x,z,u).
R((x \ y) * x,z,u) * (y \ (y / x)) = x \ R(y,z,u).
R(x,y,z) \ (R(x,y,z) / u) = x \ (x / u).
R(T(x,y),z,u) / R(y,y \ x,y) = R(T(x,y),z,u) * (T(x,y) \ (y \ x)).
R(x,y,z) * (x \ (x / u)) = R(x,y,z) / u.
R(x,y,z) / u = R(x,y,z) * (x \ (x / u)).
L((x \ y) \ 1,x \ y,R(y,z,u) * (y \ x)) = R(y,z,u) \ (R(y,z,u) * (y \ x)).
R(x,y,z) / (u \ x) = R(x,y,z) * (x \ u).
(R(x,y,z) * (x \ u)) * (u \ x) = R(x,y,z).
(R(x,y,z) * (x \ u)) \ R(x,y,z) = u \ x.
(x * (R(x,y,z) \ u)) \ x = u \ R(x,y,z).
x \ R(y,z,u) = (y * (R(y,z,u) \ x)) \ y.
(R(x,y,z) * u) \ R(x,y,z) = (x * u) \ x.
x * y != a(z,x,x \ 1) \ 1 | y = (z * x) \ z.
a(R(x,y,z),u \ 1,(u \ 1) \ 1) * w = (a(x,u \ 1,u) \ 1) \ w.
x * ((R(y,z,u) * x) \ R(y,z,u)) = a(y,x,x \ 1) \ 1.
a(x,y,y \ 1) \ 1 = y * ((R(x,z,u) * y) \ R(x,z,u)).
a(R(x,y,z),u,u \ 1) * w = (a(x,u,u \ 1) \ 1) \ w.
(a(x,y,y \ 1) \ 1) \ z = a(R(x,u,w),y,y \ 1) * z.
a(R(x,y,z),u,u \ 1) \ 1 = a(x,u,u \ 1) \ 1.
R(a(x,y,y \ 1) \ 1,R(x,y,y \ 1) * z,u) = a(R(x,z,u),y,y \ 1) \ 1.
R(a(x,y,y \ 1) \ 1,R(x,y,y \ 1) * z,u) = R(R(x,z,u),y,y \ 1) \ R(x,z,u).
R(a(x,y,y \ 1) \ 1,R(x,y,y \ 1) * z,u) = ((x * z) * u) / ((R(x,y,y \ 1) * z) * u).
R(a(x,y,y \ 1) \ 1,R(x,y,y \ 1) * z,u) = ((x * z) * u) / ((a(x,y,y \ 1) * (x * z)) * u).
(x * (y * R(x,z,u))) / (x * (y * x)) = (y * R(x,z,u)) / (y * x).
(x * (y * R(x,z,u))) / ((x * y) * L(x,y,x)) = (y * R(x,z,u)) / (y * x).
((x * y) * L(R(x,z,u),y,x)) / ((x * y) * L(x,y,x)) = (y * R(x,z,u)) / (y * x).
((x * y) * R(L(x,y,x),z,u)) / ((x * y) * L(x,y,x)) = (y * R(x,z,u)) / (y * x).
(x * R(y,z,u)) / (x * y) = ((y * x) * R(L(y,x,y),z,u)) / ((y * x) * L(y,x,y)).
((x * y) * R(L(x,y,x),z,u)) / ((x * y) * L(x,y,x)) = 1 * ((y * R(x,z,u)) / (y * x)).
((x * y) * R(L(x,y,x),z,u)) / ((x * y) * L(x,y,x)) = 1 * (((y * x) / y) \ R((y * x) / y,z,u)).
((x * y) * R(L(x,y,x),z,u)) / ((x * y) * L(x,y,x)) = (1 / ((y * x) / y)) * R((y * x) / y,z,u).
((x * y) * R(L(x,y,x),z,u)) / ((x * y) * L(x,y,x)) = (1 / ((y * x) / y)) * R((x * (y * x)) / (x * y),z,u).
((x * y) * R(L(x,y,x),z,u)) / ((x * y) * L(x,y,x)) = (1 / ((y * x) / y)) * R(((x * y) * L(x,y,x)) / (x * y),z,u).
(1 / ((x * y) / x)) * R(((y * x) * L(y,x,y)) / (y * x),z,u) = ((y * x) * R(L(y,x,y),z,u)) / ((y * x) * L(y,x,y)).
T(R(x,K(x,x \ y),z) \ x,y \ 1) = R(x,K(x,y),y * (z / y)) \ x.
T(R(x,K(x,x \ y),z) \ x,y \ 1) = x / R(x,K(x,y),y * (z / y)).
T(R(x,K(x,x \ y),z) \ x,y \ 1) = x / (x * a(y / (y / x),K(x,y),z)).
x / (x * a(y / (y / x),K(x,y),z)) = T(R(x,K(x,x \ y),z) \ x,y \ 1).
R(x / (x / y),K(y,y \ x),z) \ (x / (x / y)) = y / (y * a(x / (x / y),K(y,x),z)).
R(x / (x / y),K(y,y \ x),z) \ (x / (x / y)) = (y / a(x / (x / y),K(y,x),z)) / y.
R(x / (x / y),K(y,y \ x),z) \ (x / (x / y)) = ((y * L(z,K(y,x),x / (x / y))) / z) / y.
(((x * (y * z)) / z) / y) / x = R(x,y,z) \ x.
((x * (y * z)) / z) / y = (R(x,y,z) \ x) * x.
(R(x,y,z) \ x) * x = ((x * (y * z)) / z) / y.
(((x * (y * z)) / z) / (x * y)) * x = ((x * (y * z)) / z) / y.
((x * (y * z)) / z) / y = (((x * (y * z)) / z) / (x * y)) * x.
((K(x,y) * (x * z)) / z) / T(x,y) = a(K(x,y),x,z) \ 1.
R(x / (x / y),K(y,y \ x),z) \ (x / (x / y)) = (((x / (x / y)) * (K(y,y \ x) * z)) / z) / y.
(((x / (x / y)) * (K(y,y \ x) * z)) / z) / y = R(x / (x / y),K(y,y \ x),z) \ (x / (x / y)).
((x * (K(x,y) * z)) / z) / T(x,y) = R(x,K(x,y),z) \ x.
((K(x,y) * (x * z)) / z) / T(x,y) = R(K(x,y),x,z) \ K(x,y).
((x * (y * z)) / z) / L(y,x,R(x,y,z) \ x) = (((x * (y * z)) / z) / (x * y)) * x.
((x * (y * z)) / z) / (x * y) = R(x,y,z) \ x.
(x * y) \ ((x * y) * (R(x,y,z) \ x)) = ((x * (y * z)) / z) / (x * y).
((x * y) * ((x * (y * z)) / z)) / (x * y) = (x * y) * (R(x,y,z) \ x).
((x * y) * ((x * (y * z)) / z)) / (x * y) = (x * y) / (x \ R(x,y,z)).
((x * y) * ((x * (y * z)) / z)) / (x * y) = (x * y) / a(x,y,T(z,(x * y) \ 1)).
((x * y) * ((x * (y * z)) / z)) / (x * y) = (x * y) / ((x * y) / ((x * (y * z)) / z)).
((x * (y * z)) / z) * K(x * y,(x * (y * z)) / z) = (x * y) / ((x * y) / ((x * (y * z)) / z)).
((L(x,y,x) * y) * R(x,z,u)) / (x * (y * x)) = ((x * y) * R(x,z,u)) / ((x * y) * x).
((L(x,y,x) * y) * R(x,z,u)) / ((L(x,y,x) * y) * x) = ((x * y) * R(x,z,u)) / ((x * y) * x).
((L(x,y,x) * y) * R(x,z,u)) / ((L(x,y,x) * y) * x) = (K(x,x * y) / x) * R(x * K(x * y,x),z,u).
(K(x,x * y) / x) * R(x * K(x * y,x),z,u) = ((L(x,y,x) * y) * R(x,z,u)) / ((L(x,y,x) * y) * x).
(K(x,x * y) / x) * R((x / (L(x,y,x) * y)) * (y * x),z,u) = ((L(x,y,x) * y) * R(x,z,u)) / ((L(x,y,x) * y) * x).
(K(x,x * y) / x) * R((x * (y * x)) / (L(x,y,x) * y),z,u) = ((L(x,y,x) * y) * R(x,z,u)) / ((L(x,y,x) * y) * x).
(x * (a(x,y,K(y,z)) * T(y,z))) \ (((x * y) * K(y,z)) * a(x,y,K(y,z))) = a(x,y,K(y,z)) * K(x * T(y,z),a(x,y,K(y,z))).
(1 / L((x * (y \ 1)) / x,y,y \ z)) \ (x * K(z \ (z / y),x)) = (1 / (z \ (z / y))) \ x.
(1 / L((x * y) / x,z,u)) \ (x * K(y,x)) = (a(u,z,x * (y / x)) / y) \ x.
(1 / L((x * y) / x,z,u)) \ (x * K(y,x)) = (x / (x * a(u,z,y))) * ((1 / y) \ x).
(1 / L((x * y) / x,z,u)) \ (x * K(y,x)) = a(u,z,x * (y / x)) \ ((1 / y) \ x).
L(x * K(a(y \ 1,y,x),z),y,y \ 1) = L(x,y,z / (z * y)).
L(x,y,z / (z * y)) = L(x * K(a(y \ 1,y,x),z),y,y \ 1).
(1 / ((x * L(y \ 1,y,y \ z)) / x)) \ (x * K(z \ (z / y),x)) = (1 / (z \ (z / y))) \ x.
(1 / L((x * y) / x,z,u)) \ (x * K(y,x)) = a(u,z,(x * y) / x) \ ((1 / y) \ x).
a(x,y,(z * u) / z) \ ((1 / u) \ z) = (1 / L((z * u) / z,y,x)) \ (z * K(u,z)).
(1 / ((x * y) / x)) \ (x * K(y,x)) = (1 / y) \ x.
L(x * K(a(y \ 1,y,x),z),y,y \ 1) = x * (a(z / (z * y),y,x) \ 1).
x / (x * a(y \ 1,y,z)) = a(x / (x * y),y,z) \ 1.
a(x / (x * y),y,z) \ 1 = x / (x * a(y \ 1,y,z)).
(1 / ((x * y) / x)) \ (x * K(y,x)) = a(y \ 1,y,x) * (y * x).
a(x \ 1,x,y) * (x * y) = (1 / ((y * x) / y)) \ (y * K(x,y)).
(x / (x * y)) * ((x * y) / x) = a(y \ 1,y,x).
(x / (x * y)) * (y * K(x,y)) = a(y \ 1,y,x).
a(x \ 1,x,y) = (y / (y * x)) * (x * K(y,x)).
(K(x,y) / x) \ (y / (y * x)) = a(x \ 1,x,y).
a(x \ K(x,y),x,y) = a(x \ 1,x,y).
a(x \ 1,x,y * (z / y)) = a(y / (y * x),x,z).
a(x \ 1,x,y) \ a(z / (z * x),x,y) = K(z,a(x \ 1,x,y)).
K(x,a(y \ 1,y,z)) = a(y \ 1,y,z) \ a(x / (x * y),y,z).
a(x / (x * y),y,x) = a(y \ 1,y,x).
(x * a(y \ 1,y,z)) / x = a(x / (x * y),y,z).
(x * (y * R(y \ 1,y,z))) / x = a(x / (x * y),y,z).
a(x / (x * y),y,z) = (x * (y * R(y \ 1,y,z))) / x.
(x / (x * y)) \ R(x / (x * y),y,z) = a(x / (x * y),y,z).
a(x / (x * y),y,z) = (x / (x * y)) \ R(x / (x * y),y,z).
((x / (x * y)) \ 1) * R(T(x / (x * y),y),y,z) = a(x / (x * y),y,z).
((x \ 1) \ 1) \ R(T(x,y),z,u) = (x \ 1) * R(T(x,y),z,u).
(x \ 1) * R(T(x,y),z,u) = ((x \ 1) \ 1) \ R(T(x,y),z,u).
(x \ R(T(x,y),z,u)) * K(x \ 1,x) = (x \ 1) * R(T(x,y),z,u).
K(x \ 1,R(T(x,y),z,u)) = K(x \ 1,x).
K(x \ 1,x) = K(x \ 1,R(T(x,y),z,u)).
R(T(x,y),z,u) / R(T(T(x,y),x \ 1),z,u) = K(x \ 1,x).
T(R(x,y,z),u) / R(T(T(x,u),x \ 1),y,z) = K(x \ 1,x).
T((x \ R(x,y,z)) * x,u) / R(T(T(x,u),x \ 1),y,z) = K(x \ 1,x).
((x \ R(T(x,y),z,u)) * x) / R(T(T(x,y),x \ 1),z,u) = K(x \ 1,x).
((x \ R(T(x,y),z,u)) * x) / R(T(T(x,y),x \ 1),z,u) = T((x \ 1) \ 1,y) \ T(x,y).
((x \ R(T(x,y),z,u)) * x) / R(K(x,x \ 1) * T(x,y),z,u) = T((x \ 1) \ 1,y) \ T(x,y).
((x \ R(T(x,y),z,u)) * x) / R(K(x \ 1,x) \ T(x,y),z,u) = T((x \ 1) \ 1,y) \ T(x,y).
((x \ R(T(x,y),z,u)) * x) / R((T((x \ 1) \ 1,y) \ T(x,y)) \ T(x,y),z,u) = T((x \ 1) \ 1,y) \ T(x,y).
(1 / (x * (a(y,z,y) \ u))) / (a(y,z,y) / (u * x)) = K(u,x / a(y,z,y)).
(a(x,y,x) / (z * u)) / (1 / (u * (a(x,y,x) \ z))) = K(u / a(x,y,x),z).
(a(x,y,x) / (z * u)) / (1 / ((u / a(x,y,x)) * z)) = K(u / a(x,y,x),z).
K(x / a(y,z,y),u) = (a(y,z,y) / (u * x)) / (1 / ((x / a(y,z,y)) * u)).
(1 / (x * (a(y,z,u) \ w))) / (1 / (w * (x / a(y,z,u)))) = K(w,x / a(y,z,u)).
K(x,y / a(z,u,w)) = (1 / (y * (a(z,u,w) \ x))) / (1 / (x * (y / a(z,u,w)))).
K(x,y) = (1 / (y * x)) / (1 / (x * y)).
(1 / (x * y)) / (1 / (y * x)) = K(y,x).
K(x,y) * (1 / (x * y)) = 1 / (y * x).
K(x,y) * (1 / (x * y)) = K(x,y) / (x * y).
K(x,y) / (x * y) = K(x,y) * (1 / (x * y)).
K(x,x \ (x * y)) / (x * y) = K(x,y) * (1 / (x * y)).
K(x,y) * (1 / (x * y)) = K(x,x \ (x * y)) / (x * y).
K(x,x \ y) * (1 / y) = K(x,x \ y) / y.
L(x \ 1,x,y \ ((y \ x) \ 1)) = 1 / x.
L(x \ 1,x,y \ ((y \ x) \ 1)) = (x * (x \ 1)) / x.
(x * (x \ 1)) / x = L(x \ 1,x,y \ ((y \ x) \ 1)).
(x * T(x \ 1,K(y,y \ x))) / x = L(x \ 1,x,y \ ((y \ x) \ 1)).
(x * T((y * (y \ x)) \ 1,K(y,y \ x))) / x = L(x \ 1,x,y \ ((y \ x) \ 1)).
(x * (K(y,y \ x) \ (((y \ x) * y) \ 1))) / x = L(x \ 1,x,y \ ((y \ x) \ 1)).
(x * (K(y,y \ x) \ (((y \ x) * y) \ 1))) / x = L(x \ 1,x,((y \ x) * y) \ 1).
L(x \ 1,x,((y \ x) * y) \ 1) = (x * (K(y,y \ x) \ (((y \ x) * y) \ 1))) / x.
L(K(x \ 1,x) / x,x,((y \ x) * y) \ 1) = (x * (K(y,y \ x) \ (((y \ x) * y) \ 1))) / x.
K(((x \ y) * x) \ 1,y) = K(y \ 1,y).
K(x,x \ y) \ ((y \ 1) * (x * (y / x))) = K(((x \ y) * x) \ 1,y).
(((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)).
K(x,x \ y) * K(y \ 1,y) = (((x \ y) * x) \ 1) * y.
(((x \ y) * x) \ 1) * y = K(x,x \ y) * K(y \ 1,y).
K(x,x \ 1) \ K(y,y \ x) = (((y \ x) * y) \ 1) * x.
((x \ y) * x) * (K(x,x \ y) / y) = K(y,y \ 1).
((x \ y) * x) * (K(x,x \ y) / y) = y \ T(y,y \ 1).
x \ T(x,x \ 1) = ((y \ x) * y) * (K(y,y \ x) / x).
(((x \ y) * x) \ 1) \ K(x,x \ y) = T(y,y \ 1).
T(x,x \ 1) = (((y \ x) * y) \ 1) \ K(y,y \ x).
K(x,x \ y) * ((((x \ y) * x) \ 1) \ 1) = T(y,y \ 1).
T(x,x \ 1) = K(y,y \ x) * ((((y \ x) * y) \ 1) \ 1).
K(x,x \ y) * ((((x \ y) * x) \ 1) \ 1) = y * K(y,y \ 1).
K((x \ y) * x,x \ ((x \ y) \ 1)) = K(y,y \ 1).
K((x \ y) * x,x \ ((x \ y) \ 1)) = a(x / ((x \ y) \ 1),y \ 1,y).
a(x / ((x \ y) \ 1),y \ 1,y) = K((x \ y) * x,x \ ((x \ y) \ 1)).
K((x \ y) * x,((x \ y) * x) \ 1) = a(x / ((x \ y) \ 1),y \ 1,y).
K(1 \ ((x \ y) * x),((x \ y) * x) \ 1) = a(x / ((x \ y) \ 1),y \ 1,y).
K((x \ y) \ z,z \ (x \ y)) = K(y \ (x * z),(x * z) \ y).
K(x \ (y * z),(y * z) \ x) = K((y \ x) \ z,z \ (y \ x)).
K((x \ (y \ z)) \ 1,x \ (y \ z)) = K(z \ (y * x),(y * x) \ z).
((x \ (y \ z)) \ 1) * (x \ (y \ z)) = K(z \ (y * x),(y * x) \ z).
(((x * y) \ z) \ (a(x,y,y \ (x \ z)) \ 1)) * (y \ (x \ z)) = K(z \ (x * y),(x * y) \ z).
(((x * y) \ z) \ (a(x,y,y \ (x \ z)) \ 1)) * (y \ (x \ z)) = K(((x * y) \ z) \ 1,(x * y) \ z).
(((x * y) \ z) \ (a(x,y,y \ (x \ z)) \ 1)) * (y \ (x \ z)) = ((((x * y) \ z) \ 1) \ 1) \ ((x * y) \ z).
((((x * y) \ z) \ 1) \ 1) \ ((x * y) \ z) = (((x * y) \ z) \ (a(x,y,y \ (x \ z)) \ 1)) * (y \ (x \ z)).
R((x * y) \ z,(x \ z) \ y,y \ (x \ z)) \ ((x * y) \ z) = (((x * y) \ z) \ (a(x,y,y \ (x \ z)) \ 1)) * (y \ (x \ z)).
R(R(a(x,y,y \ 1) \ 1,a(x,y,y \ 1),x * z),R(x,y,y \ 1) * z,u) = ((x * z) * u) / ((a(x,y,y \ 1) * (x * z)) * u).
L(1 / (1 / x),y,z) \ (u / (u * (1 / L(x,y,z)))) = L(x,y,z) * (u \ (L(x,y,z) \ u)).
L(1 / (1 / x),y,z) \ (u / (u * (1 / L(x,y,z)))) = L(x,y,z) * (u \ (L((1 / x) \ 1,y,z) \ u)).
L(x,y,z) * (u \ (L((1 / x) \ 1,y,z) \ u)) = L(1 / (1 / x),y,z) \ (u / (u * (1 / L(x,y,z)))).
L((1 / x) \ 1,y,z) * (u \ (L((1 / x) \ 1,y,z) \ u)) = L(1 / (1 / x),y,z) \ (u / (u * (1 / L(x,y,z)))).
L(1 / (1 / x),y,z) \ (u / (u * (1 / L(x,y,z)))) = L((1 / x) \ 1,y,z) * (u \ (L((1 / x) \ 1,y,z) \ u)).
K(x,y) \ ((y / x) * (((T(y,x) / x) \ 1) * z)) = L(z,y \ x,y / x).
K(x,y) \ ((y / x) * (((T(y,x) / x) \ 1) * z)) = L(z,(y / x) \ K(x,y),y / x).
(T(x,y) / y) \ 1 = (x / y) \ K(y,x).
(T(x,y) / y) * ((x / y) \ K(y,x)) = 1.
(T(x,y) / y) * ((x / y) \ K(y,x)) = (T(x,y) / y) / (x / T(y,x)).
(T(x,y) / y) / (x / T(y,x)) = (T(x,y) / y) * ((x / y) \ K(y,x)).
1 / ((x / y) \ K(y,x)) = x / T(y,x).
x / T(y,x) = 1 / ((x / y) \ K(y,x)).
1 \ (1 / ((x / y) \ K(y,x))) = x / T(y,x).
a(K(x,y),y / T(x,y),y \ x) \ (1 / ((y / x) \ K(x,y))) = y / T(x,y).
a(K(x,y),y / T(x,y),T(x,y) / y) \ (1 / ((y / x) \ K(x,y))) = y / T(x,y).
a(K(x,y),y / T(x,y),y \ x) = 1.
a(K(x,y),y / T(x,y),y \ x) = (y / x) / (y / x).
(x / y) / (x / y) = a(K(y,x),x / T(y,x),x \ y).
(x / y) / (K(y,x) / ((x / T(y,x)) \ 1)) = a(K(y,x),x / T(y,x),x \ y).
a(K(x,y),y / T(x,y),T(x,y) / y) = (y / x) / (K(x,y) / ((y / T(x,y)) \ 1)).
(x / y) / (K(y,x) / ((x / T(y,x)) \ 1)) = a(K(y,x),x / T(y,x),T(y,x) / x).
L(x,T(T(y,a(z,u,z) * a(z,u,z)) * a(z,u,z),y),w) = L(x,T(y,a(z,u,z)),w).
a(x,T(T(y,a(z,u,z) * a(z,u,z)) * a(z,u,z),y),w) = a(x,T(y,a(z,u,z)),w).
(T(x,y) / y) / (1 / ((x / y) \ K(y,x))) = (T(x,y) / y) * ((x / y) \ K(y,x)).
L(x,T(y,a(z,u,z) * a(z,u,z)) * T(a(z,u,z),y),w) = L(x,T(y,a(z,u,z)),w).
a(x,T(y,a(z,u,z) * a(z,u,z)) * T(a(z,u,z),y),w) = a(x,T(y,a(z,u,z)),w).
x * a(y / (y / x),K(x,y),z) = R(x,K(x,y),y * (z / y)).
x * a(y / (y / x),K(x,y),z) = x * a(x,K(x,y),y * (z / y)).
x * a(x,K(x,y),y * (z / y)) = x * a(y / (y / x),K(x,y),z).
x * a(x,K(x,x \ y),y * (z / y)) = x * a(y / (y / x),K(x,y),z).
x * (x \ R(x,K(x,x \ y),y * (z / y))) = x * a(y / (y / x),K(x,y),z).
K(x,y) / ((y / T(x,y)) \ 1) = y / x.
K(x,y) / (K(x,y) * ((y / x) \ 1)) = y / x.
T(x * y,x) * z != (x * y) * (K(x * y,x) * u) | L(u,K(y,x),x * y) = z.
(x * y) * (K(x * y,x) * z) != T(x * y,x) * u | L(z,K(y,x),x * y) = u.
(x * K(y,y \ z)) * ((y \ z) * y) = (x * K(y,z)) * T(z,y).
(x * ((y \ z) * y)) * K(y,y \ z) = (x * T(z,y)) * K(y,z).
T(x \ 1,K(y,y \ x)) = x \ 1.
K(K(x,x \ y),y \ 1) = 1.
L(x,(y / z) \ K(z,y),u) = L(x,y \ z,u).
a(K(x,y),y / T(x,y),(y / T(x,y)) \ 1) \ (1 / ((y / x) \ K(x,y))) = y / T(x,y).
a(K(x,y),y / T(x,y),(y / T(x,y)) \ 1) = (y / x) / (K(x,y) / ((y / T(x,y)) \ 1)).
(x / y) / (K(y,x) / ((x / T(y,x)) \ 1)) = a(K(y,x),x / T(y,x),(x / T(y,x)) \ 1).
(T(x,y) / y) / (1 / ((x / y) \ K(y,x))) = (K(y,x) \ (x / y)) * ((x / y) \ K(y,x)).
L(x,(T(y,z) / z) \ 1,u) = L(x,(y / z) \ K(z,y),u).
L(x,(y / z) \ K(z,y),u) = L(x,(T(y,z) / z) \ 1,u).
K(x,y) * (y / T(x,y)) = y / x.
K(x,y) \ (y / x) = T(y,x) / x.
K(x,y) * (T(y,x) / x) = y / x.
x / y = K(y,x) * (T(x,y) / y).
(x \ K(y,y \ x)) / (((y \ x) * y) \ 1) = K(K(y,y \ x),x \ 1).
K(x,x \ y) * (y \ 1) = y \ K(x,x \ y).
(x \ K(y,y \ x)) / (x \ 1) = K(y,y \ x).
K(x,y) * ((y / x) \ 1) = (y / T(x,y)) \ 1.
K(x,y) / (K(x,y) * ((y / x) \ 1)) = R(y / x,(y / x) \ 1,K(x,y)).
R(x / y,(x / y) \ 1,K(y,x)) = K(y,x) / (K(y,x) * ((x / y) \ 1)).
((x / y) \ 1) * K(y,x) = K(y,x) * ((x / y) \ 1).
K(x,y) * ((y / x) \ 1) = ((y / x) \ 1) * K(x,y).
(T(x,y) / y) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z).
K(x,y) * (x / y) = T(x,y) / y.
L(x,(y / z) \ 1,u) = L(x,z / y,u).
L(x,y / z,u) = L(x,(z / y) \ 1,u).
L(x,y / (z * y),u) = L(x,z \ 1,u).
L(x,y \ 1,z) = L(x,u / (y * u),z).
L(x,((y * (z * y)) / y) \ y,u) = L(x,z \ 1,u).
K(x,y) * (T(y,x) / x) = (y / x) * K(K(z,u),z \ u).
(x / y) * K(K(z,u),z \ u) = K(y,x) * (T(x,y) / y).
K(K(x,y),x \ T(y,x)) = K(K(z,u),z \ u).
K(K(x,y),x \ T(y,x)) = K(z \ u,K(z,u)) \ 1.
K(x \ y,K(x,y)) \ 1 = K(K(z,u),z \ T(u,z)).
L(x,(T(y,z) / z) \ 1,u) = L(x,y \ z,u).
(x \ K(y,y \ x)) / (x \ 1) = (1 / x) * (y * (x / y)).
(1 / x) * (y * (x / y)) = (x \ K(y,y \ x)) / (x \ 1).
T(1 / x,K(y,y \ x)) = 1 / x.
1 / x = T(1 / x,K(y,y \ x)).
L(x \ 1,y * (x / y),x \ 1) = 1 / x.
(K(x,y) * ((y / x) \ 1)) * 1 = ((y / x) \ 1) * K(x,y).
K((x / y) \ 1,K(y,x)) = 1.
1 = K((x / y) \ 1,K(y,x)).
K(1 / (x / y),K(y,x)) = 1.
K(1 / x,K(x \ y,y)) = 1.
((x / ((x * y) / x)) \ (x / y)) * (x / y) = T(x,y) / y.
K(x \ T(y,x),K(x,y)) = K(z \ u,K(z,u)).
K(x \ y,K(x,y)) = K(z \ T(u,z),K(z,u)).
x * K(K(y,z),y \ z) != u | x = u.
K(K(x,y),x \ y) = 1.
K(1 / x,K(y * (x \ 1),y)) = 1.
K(x \ y,K(y,x)) = 1.
K(x,K(y * x,y)) = 1.
T(x / y,K(x,y)) = x / y.
K(x,K(x * y,y)) = 1.
T(x,K(x * y,y)) = x.
T(x,K(y,x * y)) = x.
T(x,K(y,y * x)) = x.
K(x \ T(y,x),K(x,y)) = 1.
K(x,K(y,y * x)) = 1.
K(x \ y,K(x,y)) = 1.
T(x \ y,K(x,y)) = x \ y.
(x / (x / y)) * (K(y,y \ x) * z) = y * L(z,K(y,x),x / (x / y)).
x * L(y,K(x,z),z / (z / x)) = (z / (z / x)) * (K(x,x \ z) * y).
L(x \ y,K(x,y),x) = x \ y.
L(x,K(y,y \ z),u) = L(x,K(y,z),u).
L(x,K(y,z),u) = L(x,K(y,y \ z),u).
L(x,(y / T(z,y)) \ 1,u) = L(x,y \ z,u).
L(x,y \ z,u) = L(x,(y / T(z,y)) \ 1,u).
L(x,((y * (z * y)) / y) \ y,u) = L(x,(y * z) \ y,u).
L(x,(y * z) \ y,u) = L(x,((y * (z * y)) / y) \ y,u).
L(x,(y * z) / y,u) = L(x,y * (z / y),u).
L(x,y * (z / y),u) = L(x,(y * z) / y,u).
(x * y) * L(z,y * x,K(x,x * y)) = K(x,x * y) * (T(x * y,x) * z).
L(x,((y * z) / y) \ y,u) = L(x,y / z,u).
L(x,y / z,u) = L(x,((y * z) / y) \ y,u).
L(x,T(y * z,y),u) = L(x,z * y,u).
T(x * y,x) * L(z,K(y,x),x * y) = (x * y) * (K(x * y,x) * z).
L(x,y / T(z,y),u) = L(x,z \ y,u).
L(x,y \ L(z,u,z),w) = L(x,y \ z,w).
L(x,y \ z,u) = L(x,y \ L(z,w,z),u).
L(x,T(y * (z / y),y),u) = L(x,z,u).
L(x,K(y * z,y),u) = L(x,K(z,y),u).
L(x,T(y,z) / z,u) = L(x,z \ y,u).
L(x,T(T(y,a(z,u,z)),a(z,u,z)) * T(a(z,u,z),y),w) = L(x,T(y,a(z,u,z)),w).
L(x,y / L(z,u,z),w) = L(x,y / z,w).
L(x,y * a(z,u,z),w) = L(x,y,w).
L(x,y,z) = L(x,y * a(u,w,u),z).
x * (y / (y * (R(x,K(x,x \ y),z) \ x))) = x * a(y / (y / x),K(x,y),z).
(x * K(y,y \ z)) * ((y \ z) * y) = x * (z * a(x,K(y,z),T(z,y))).
L(x,K(y,y \ z),u) = a(u,K(y,z),x) \ x.
(x * ((y \ z) * y)) * K(y,y \ z) = (x * z) * a(x,T(z,y),K(y,z)).
a(x,K(y,y \ z),u) = a(x,K(y,z),u).
a(x,K(y,z),u) = a(x,K(y,y \ z),u).
a(x,(1 / y) * z,u) = a(x,y \ z,u).
a(x,(y \ z) * y,u) = a(x,T(z,y),u).
a(x,T(y,z),u) = a(x,(z \ y) * z,u).
a(x,K(y,y * z),u) = a(x,K(y,z),u).
a(x,T(y * z,y),u) = a(x,z * y,u).
a(x,K(y,z * y),u) = a(x,K(y,z),u).
a(x,K(y,z),u) = a(x,K(y,z * y),u).
a(x,T(y * (z / y),y),u) = a(x,z,u).
a(x,T(T(y,a(z,u,z)),a(z,u,z)) * T(a(z,u,z),y),w) = a(x,T(y,a(z,u,z)),w).
L(x,y * a(z,u,z),w) = a(w,y,x) \ x.
a(x,y * a(z,u,z),w) = a(x,y,w).
a(x,y * a(z,u,z),L(w,a(z,u,z),y)) = a(x,y,w).
a(x,y * a(z,u,z),L(w,a(z,u,z),y)) = a(x,y,a(z,u,z) * w).
a(x,y,a(z,u,z) * w) = a(x,y * a(z,u,z),L(w,a(z,u,z),y)).
(a(x,y,T(T(x,z),(z * u) \ 1)) \ u) * a(x,y,x) = L(u,z,a(x,y,T(x,(z * u) \ 1))).
L(x,y,a(z,u,T(z,(y * x) \ 1))) = (a(z,u,T(T(z,y),(y * x) \ 1)) \ x) * a(z,u,z).
L(x,y,((y * x) * a(z,u,z)) / (y * x)) = (a(z,u,T(T(z,y),(y * x) \ 1)) \ x) * a(z,u,z).
L(x,y,((y * x) * a(z,u,z)) / (y * x)) = (a(z,u,T(T(z,(y * x) \ 1),y)) \ x) * a(z,u,z).
T(a(x,y,T(x,z)) * T(u,z),a(x,y,x)) = T(u * a(x,y,x),T(z,a(x,y,x))).
T(a(x,y,T(x,z)) * T(u,z),a(x,y,x)) = T(u * a(x,y,x),L(T(z,a(x,y,x)),a(x,y,x),u)).
T(x * a(y,z,y),L(T(u,a(y,z,y)),a(y,z,y),x)) = K(a(y,z,y),u) * (T(x,u) * a(y,z,y)).
((x / ((x * y) / x)) \ T(x / y,K(x,y))) * (x / y) = T(x,y) / y.
((x / ((x * y) / x)) \ T(x / y,K(x,y))) * (x / y) = (x / y) * K(x,y).
T(x * a(y,z,y),L(T(u,a(y,z,y)),a(y,z,y),x)) = (K(a(y,z,y),u) * T(x,u)) * a(y,z,y).
(x \ 1) \ T(((y * x) / y) \ 1,a(z,u,z)) = K(x,y / a(z,u,z)).
K(x,y / a(z,u,z)) = (x \ 1) \ T(((y * x) / y) \ 1,a(z,u,z)).
(1 / x) \ T(1 / ((y * x) / y),a(z,u,z)) = K(x,y / a(z,u,z)).
(1 / x) \ (1 / T((y * x) / y,a(z,u,z))) = K(x,y / a(z,u,z)).
(1 / x) \ (1 / ((y * T(x,a(z,u,z))) / y)) = K(x,y / a(z,u,z)).
(1 / x) \ (1 / ((y * ((a(z,u,z) \ x) * a(z,u,z))) / y)) = K(x,y / a(z,u,z)).
(1 / x) \ (1 / (((y * (a(z,u,z) \ x)) * a(z,u,z)) / y)) = K(x,y / a(z,u,z)).
R(K(x / y,z),x / y,y) = K((y / x) \ 1,z).
(x * T(x \ y,z)) / y = K((x / y) \ 1,z).
(x * K((x \ y) \ 1,z)) / x = K((y / x) \ 1,z).
K((x \ y) \ 1,z) * K(x,K((x \ y) \ 1,z)) = K((y / x) \ 1,z).
K((x \ y) \ 1,z) * K(K(z,(x \ y) \ 1),x) = K((y / x) \ 1,z).
K(x,K(a(y,z,u),w)) \ K(x,a(y,z,u)) = K(x,a(y,z,T(u,w))).
K(x,K(a(y,z,u),w)) \ K(x,a(y,z,u)) = K(T(x,w),a(y,z,u)).
(x / y) * (R(x / y,y,K(z,y)) \ u) = a(x,K(z,y),y) \ u.
(x / y) * (R(x / y,y,K(z,y)) \ u) = (a(x,K(z,y),y) \ 1) * u.
(a(x,K(y,z),z) \ 1) * u = (x / z) * (R(x / z,z,K(y,z)) \ u).
((x * K(y,z)) / ((y * z) / y)) \ (x / z) = a(x,K(y,z),z) \ 1.
K(x,K(a(y,z,u),w)) \ K(x,a(y,z,u)) = K(a(y,z,u),T(x,w)) \ 1.
(T(x,y) * z) \ ((x * z) * K(T(x,z),y)) = a(z,x,K(x,y)).
(T(x,y) * z) \ ((x * z) * K(T(x,z),y)) = a(z,x,K(x,T(y,z))).
a(x,y,K(T(z,u),w)) = a(x,y,K(z,T(w,u))).
a(x,y,K(z,T(u,w))) = a(x,y,K(T(z,w),u)).
a(x,y,K(z,T(u,w) \ 1)) = a(x,y,K(u,T(z,w))).
a(x,y,K(z,T(u \ 1,w))) = a(x,y,K(u,T(z,w))).
a(x,y,K(z,T(u,(x * y) \ 1))) = x \ R(x,y,K(z,u)).
a(x,y,K(z,T(u,w) \ 1)) = a(x,y,K(z,T(u \ 1,w))).
a(x,y,K(z,T(u \ 1,w))) = a(x,y,K(z,T(u,w) \ 1)).
a(x,y,K(z,T(u,w))) = a(x,y,T(K(z,u),w)).
a(x,y,T(K(z,u),w)) = a(x,y,K(z,T(u,w))).
a(x,y,K(T(z,u) \ 1,w)) = a(x,y,T(K(w,z),u)).
a(x,y,T(K(z \ 1,u),w)) = a(x,y,T(K(u,z),w)).
K(x * (K(y,z) / y),x) = K(x * (y \ K(y,z)),x).
a(x,y,K((z \ 1) \ u,w)) = a(x,y,K(z * u,w)).
L(1 / (1 / x),y,z) * (u \ (L(1 / (1 / x),y,z) \ u)) = L(1 / (1 / x),y,z) \ (u / (u * (1 / L(x,y,z)))).
L(1 / (1 / x),y,z) \ (u / (u * (1 / L(x,y,z)))) = L(1 / (1 / x),y,z) * (u \ (L(1 / (1 / x),y,z) \ u)).
L(1 / x,y,z) \ (u / (u * (x * a(z,y,x \ 1)))) = L(1 / x,y,z) * (u \ (L(1 / x,y,z) \ u)).
x \ (y / (y * (x \ 1))) = x * (y \ (x \ y)).
K((x \ 1) * (K(x,y) * z),z) = K(z * (K(x,y) / x),z).
K(x * (K(y,z) / y),x) = K((y \ 1) * (K(y,z) * x),x).
a(x,y,K((z \ 1) \ u,w)) = a(x,y,K(w \ 1,z * u)).
a(x,y,K(z \ 1,u * w)) = a(x,y,K((u \ 1) \ w,z)).
a(x,y,K(z,(u \ 1) \ w)) = a(x,y,K(z,u * w)).
(x / (x * (y \ 1))) * (y \ 1) = y \ (x / (x * (y \ 1))).
x \ (y / (y * (x \ 1))) = (y / (y * (x \ 1))) * (x \ 1).
(1 / x) \ (y / (y * x)) = (y / (y * x)) * x.
(1 / x) * ((y / (y * x)) * x) = y / (y * x).
K((x \ y) \ 1,z) * K(K(z,(x \ y) \ 1),x) = K(z,(y / x) \ 1) \ 1.
K(x,(y / z) \ 1) \ 1 = K((z \ y) \ 1,x) * K(K(x,(z \ y) \ 1),z).
((x * K(y,z)) / x) \ 1 = K(z,y) * K(K(y,z),x).
((x * K(y,z)) / ((y * z) / y)) \ (x / z) = a(x / z,z,K(y,z)) \ 1.
K(x,K(a(y,z,u),w)) \ K(x,a(y,z,u)) = T(K(a(y,z,u),x),w) \ 1.
K(x,y) = (x \ 1) \ (((y * x) / y) \ 1).
(1 / x) \ (1 / ((((y / a(z,u,z)) * x) * a(z,u,z)) / y)) = K(x,y / a(z,u,z)).
K(x,y / a(z,u,z)) = (1 / x) \ (1 / ((((y / a(z,u,z)) * x) * a(z,u,z)) / y)).
K(x,y) = (1 / x) \ (1 / ((y * x) / y)).
(1 / x) \ (1 / ((y * x) / y)) = K(x,y).
K((1 / x) * (K(x,y) * z),z) = K(z * (K(x,y) / x),z).
(1 / x) * ((y / (y * x)) * x) = R(K(x,y) / x,x,y).
(1 / x) \ (K(x,y) / x) = K(x,y).
(1 / x) * K(x,y) = K(x,y) / x.
K(x,y) / x = (1 / x) * K(x,y).
K(x,y) * (1 / x) = K(x,y) / x.
R(x,y,K(z,y)) \ x = a(x,y,K(z,y)) \ 1.
a(x,y,K(z,y)) \ 1 = R(x,y,K(z,y)) \ x.
x * a(x,y,K(z,y)) = R(x,y,K(z,y)).
x \ R(x,y,K(z,y)) = a(x,y,K(z,y)).
a(x,y,K(z,u / x)) = a(x,y,K(z,x \ u)).
a(x,y,K(z,x \ u)) = a(x,y,K(z,u / x)).
a(x,y,K(z,T(u,x))) = a(x,y,K(z,u)).
K(K(x,y),z) \ K(y,x) = T(K(x,y),z) \ 1.
K(x,y) \ (x \ 1) = T(x,y) \ 1.
K(x,y) * (T(x,y) \ 1) = x \ 1.
x \ 1 = K(x,y) * (T(x,y) \ 1).
(T(x,y) \ 1) * K(x,y) = x \ 1.
(x \ 1) / K(x,y) = T(x,y) \ 1.
T(x,y) \ 1 = (x \ 1) / K(x,y).
T(x,y) * ((x \ 1) / K(x,y)) = 1.
1 = T(x,y) * ((x \ 1) / K(x,y)).
K((x \ 1) * (K(x,y) * z),z) = K(z * (x \ K(x,y)),z).
K(x,y) \ K(K(x,y),z) = K(y,x) * K(K(x,y),z).
K(x,y) * K(K(y,x),z) = K(y,x) \ K(K(y,x),z).
K(x,y) \ a(z,u,x) = a(z,u,x) * K(y,x).
a(x,y,z) * K(u,z) = K(z,u) \ a(x,y,z).
(x \ 1) * K(x,y) = x \ K(x,y).
x \ K(x,y) = (x \ 1) * K(x,y).
L(K(x,y),z,a(u,w,y)) = K(x,y).
(x \ 1) \ (((y * x) / y) \ 1) = K(x,y) * 1.
K(x,y) * 1 = (x \ 1) \ (((y * x) / y) \ 1).
a(T(x,y),T(x,y) \ 1,K(x,y)) = 1.
1 = a(T(x,y),T(x,y) \ 1,K(x,y)).
(1 / (1 / x)) \ K(x,y) = K(x,y) * (1 / x).
K(x,y) * (1 / x) = (1 / (1 / x)) \ K(x,y).
L(K(x,y),x \ 1,x) = K(x,y).
a((x / y) \ 1,x / y,K(z,y)) = K(((1 / (x / y)) * x) \ 1,z) \ K(y \ 1,z).
a(x / y,y / x,K(z,x)) = K(((1 / (y / x)) * y) \ 1,z) \ K(x \ 1,z).
x \ R(x,y,K(y \ 1,z)) = a(x,y,K(z,y)).
a(a(x,y,z),u,K(w,z)) = 1.
a(x,x \ 1,K(x,y)) = 1.
a(x,y,K((z * u) \ 1,w)) = a(x,y,K(w,(z \ 1) \ u)).
a(x,y,K(z,(u \ 1) \ w)) = a(x,y,K((u * w) \ 1,z)).
a(x,y,K(z \ 1,u)) = a(x,y,K(u,T(z,x))).
a(x,y,K(z,T(u,x))) = a(x,y,K(u \ 1,z)).
a(x,y,K(z,T(u \ 1,w))) = a(x,y,T(K(u,z),w)).
a(x,y,T(K(z,u),w)) = a(x,y,K(u,T(z \ 1,w))).
a(x,y,K(z,u \ 1)) = a(x,y,K(u,z)).
a(x,y,K(z,u)) = a(x,y,K(u,z \ 1)).
a(x,y,K(z \ 1,T(1 / u,w) \ 1)) = a(x,y,T(K(u,z),w)).
a(x,y,K(z,1 / u)) = a(x,y,K(u,z)).
a(x,y,K(z,u)) = a(x,y,K(u,1 / z)).
a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)).
a(x,y,z * T(z \ 1,u)) = a(x,y,K(u,z)).
a(x,y,K(z,u)) = a(x,y,u * T(u \ 1,z)).
a(x,y,z * T(1 / z,u)) = a(x,y,K(u,z)).
a(x,y,z * T(1 / u,w)) = a(x,y,z / T(u,w)).
a(x,y,z * ((u \ w) \ w)) = a(x,y,z * T(u,w)).
a(x,y,z * T(u,u \ w)) = a(x,y,z * T(u,w)).
a(x,y,z * T(u,w)) = a(x,y,z * T(u,u \ w)).
(x / y) * (y * K(x,a(z,y,z))) = T(x,a(z,y,z)).
(x / y) * ((T(z * y,z) / z) / a(z,y,T(z,x))) = T(x,a(z,y,z)).
T(x,a(y,z,y)) = (x / z) * ((T(y * z,y) / y) / a(y,z,T(y,x))).
((x / y) * (T(z * y,z) / z)) / a(z,y,T(z,x)) = T(x,a(z,y,z)).
T(L(x \ y,K(x,y),x),K(x,y)) = x \ y.
(K(x,y) * (x \ y)) / K(x,y) = L(x \ y,K(x,y),x).
(K(x,y) * (T(x,y) \ ((x * y) / x))) / K(x,y) = L(x \ y,K(x,y),x).
(K(x,y) * ((x * K(x,y)) \ ((x * y) / x))) / K(x,y) = L(x \ y,K(x,y),x).
L(x \ y,K(x,y),x) = (K(x,y) * ((x * K(x,y)) \ ((x * y) / x))) / K(x,y).
(x \ ((x * y) / x)) / K(x,y) = x \ y.
K(a(x,y,z),u) * (a(x,y,z) \ u) = (a(x,y,z) \ u) * K(a(x,y,z),u).
(a(x,y,z) \ u) * K(a(x,y,z),u) = K(a(x,y,z),u) * (a(x,y,z) \ u).
(((x * y) / x) \ x) / K(y,x) = y \ x.
((x * y) / x) \ x = (y \ x) * K(y,x).
(x \ y) * K(x,y) = ((y * x) / y) \ y.
K(x,y) = (x \ y) \ (((y * x) / y) \ y).
(x \ y) \ (((y * x) / y) \ y) = K(x,y).
(x \ y) \ (((y * x) / y) \ y) = K(x,y * K(x,y)).
K(x,y * K(x,y)) = (x \ y) \ (((y * x) / y) \ y).
K(x,x * (((y * x) / y) \ y)) = (x \ y) \ (((y * x) / y) \ y).
(x \ y) \ (((y * x) / y) \ y) = K(x,x * (((y * x) / y) \ y)).
((x / ((x * y) / x)) \ T(x / y,K(x,y))) * (x / y) = (x / y) * (((x / y) * K(y,x)) \ (x / y)).
((x / y) * K(y,x)) \ (x / y) = K(x,y).
x / ((x * y) / x) = (x / y) * K(y,x).
(x / y) * K(y,x) = x / ((x * y) / x).
x / (y * K(x,y)) = (x / y) * K(y,x).
(x / y) * K(y,x) = x / (y * K(x,y)).
((x * y) / x) / x = (y / x) * K(x,y).
(x / y) * K(y,x) = ((y * x) / y) / y.
K(x,y) = (y / x) \ (((x * y) / x) / x).
(x / y) \ (((y * x) / y) / y) = K(y,x).
(x / y) \ (((y * x) / y) / y) = K(y,y \ (y * x)).
(x / y) * K(K(y,x),y \ T(x,y)) = K(y,x) * (T(x,y) / y).
(x / y) \ (((y * x) / y) / y) = K(y,(y * x) / y).
K(x,(x * y) / x) = (y / x) \ (((x * y) / x) / x).
(x / y) / K(y,x) = T(x,y) / y.
K(x,y) = (T(y,x) / x) \ (y / x).
(x \ T(y * K(x,y),x)) \ (((y * x) / y) \ y) = K(x,x * (((y * x) / y) \ y)).
K(x,y) = (x \ T(x * (y / x),x)) \ (y / x).
(x \ T(x * (y / x),x)) \ (y / x) = K(x,y).
(x \ T(x * y,x)) \ y = K(x,x * y).
(x \ T(x * y,x)) \ y = K(x * y,x) \ 1.
(x \ T(x * y,x)) \ R(y,K(y,x),K(x,y)) = K(x * y,x) \ 1.
R(x,K(y * z,y),K(y,y * z)) = R(x,K(z,y),K(y,z)).
R(x,K(y * z,y),K(y,y * z)) = (x * K(z,y)) * K(y,z).
R(x,K(y * z,y),K(y,y * z)) = K(y,z) * T(x * K(z,y),K(y,z)).
K(x,y) * T(z * K(y,x),K(x,y)) = R(z,K(x * y,x),K(x,x * y)).
K(x * T(y,a(x,z,u)),a(x,z,u)) = K(x * y,a(x,z,u)).
(x / T(y \ T(x,y),a(y,z,y))) * a(y,z,y) = R(T(y,x),z,y).
K(x,L(y,z,u)) * L(x,y,x) = T(x,x * L(y,z,u)).
L(x,L(y,z,u),x) = L(x,y,x).
L(x,L(y,z,u),x) = x * (x \ L(x,y,x)).
L(x,L(y,z,u),x) = x * (R(x,y,x) \ x).
x * (R(x,y,x) \ x) = L(x,L(y,z,u),x).
L(L(K(x,y),x,z),z * x,x) = L(K(L(x,z,x),y),x,x * z).
(x * L(K(x,y),z,u)) / R(x,y,x) = L(K(x,x * y),z,u).
a(x,y,z * ((T(u,u \ w) * (u \ w)) \ (T(u,u \ w) * w))) = a(x,y,z * T(u,u \ w)).
a(x,y,z * L(u,w,u)) = a(x,y,z * u).
a(x,y,z * u) = a(x,y,z * L(u,w,u)).
a(x,y,z * a(u,w,u)) = a(x,y,z).
a(x,y,z) = a(x,y,z * a(u,w,u)).
R(x,y,K(z,u \ 1)) = R(x,y,K(u,z)).
R(x,y,K(z,u)) = R(x,y,K(u,z \ 1)).
R(x,y,K(z \ 1,u)) = R(x,y,K(u,z)).
R(x,y,K(z \ u,u)) = R(x,y,K(u,z)).
R(x / y,(x / y) \ 1,K(y,x)) = x / y.
R(x,y,K(z,z \ u)) = R(x,y,K(z,u)).
R(x,y,K(z,u)) = R(x,y,K(z,z \ u)).
R(x,y,K(z,z * u)) = R(x,y,K(z,u)).
R(x,y,K(z \ u,u)) = R(x,y,K(z \ u,z)).
K(x,y) * R(K(x,y) \ z,K(x,y),K(y,x)) = R(z,K(x * y,x),K(x,x * y)).
R(x,y,K(z \ 1,u)) = R(x,y,K(z \ u,u)).
R(x,y,K(z \ u,u)) = R(x,y,K(z \ 1,u)).
R(x,y,K(z \ u,z)) = R(x,y,K(u,z)).
R(x,y,K(z,u)) = R(x,y,K(u \ z,u)).
a(x,y,z * a(u,w,u)) = T(x,y) \ R(T(x,y),y,z).
R(x,y,K(z,u * z)) = R(x,y,K(z,u)).
R(x,y,K(z,u)) = R(x,y,K(z,u * z)).
R(x,y,K(z * u,z)) = R(x,y,K(u,z)).
R(x,y,z * a(u,w,u)) = R(x,y,z).
x * a(x / T(y,y * z),y,K(y,z)) = ((x / T(y,z)) * y) * K(y,z).
a(x,y,K(z,u)) \ K(z * u,u) = L(K(u * z,u),y,x).
a(x,y,x) * K(L(y,z,u),x) = K(x * L(y,z,u),x).
a(x,y,x) \ K(x,L(y,z,u)) = K(x,x * L(y,z,u)).
a(x,L(y,z,u),x) = a(x,y,x).
L(x,L(y,z,u),(L(y,z,u) * x) / L(y,z,u)) = x * (R(x,y,x) \ x).
a(x,L(y,z,u),x) = x \ R(x,y,x).
x \ R(x,y,x) = a(x,L(y,z,u),x).
R(x,L(y,z,u),x) = R(x,y,x).
R(x,y,x) = R(x,L(y,z,u),x).
x * y != T(z * x,z) | y = R(z,x,z).
L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u).
T(x * L(y,z,u),x) = L(y,z,u) * R(x,y,x).
(x * ((y \ z) * y)) * K(y,y \ z) = (x * z) * a(x,(y \ z) * y,K(y,z)).
(x * y) * a(x,(z \ y) * z,K(z,y)) = (x * ((z \ y) * z)) * K(z,z \ y).
a(x,T(y * (1 / z),y),u) = a(x,z \ y,u).
a(x,y,K(z,u)) \ K(u * z,u) = L(K(u * z,u),y,x).
L(K(x * y,x),z,u) = a(u,z,K(y,x)) \ K(x * y,x).
(a(x,y,K(z,u)) \ T(z,u)) / R(z,u,z) = L(K(z,z * u),y,x).
a(x,y,K(z,z \ u)) = a(x,y,K(z,u)).
a(x,y,K(z,u)) = a(x,y,K(z,z \ u)).
a(x,y,z) \ T(u * z,u) = T(u * L(z,y,x),u).
a(x,y,T(z,u) / u) = a(x,y,u \ z).
(x * (y * x)) \ (x * (y * T(x,z))) = L(K(L(x,y,x),z),x,x * y).
L(K(L(x,y,x),z),x,x * y) = (x * (y * x)) \ (x * (y * T(x,z))).
L(x,L(y,z,y),u) = L(x,y,u).
L(x,y,z) = L(x,L(y,u,y),z).
a(x,y,z * a(u,z,u)) = a(x,y,z).
a(x / T(y,y * z),y,K(y,z)) = a(x / K(y,z),K(y,z),y).
a(x,T(y / z,y),u) = a(x,z \ y,u).
L(x,L(y,z,y),u) = a(u,y,x) \ x.
a(x,y,K(z * u,z)) = a(x,y,K(u,z)).
a(x,y,K(z,u)) = a(x,y,K(u * z,u)).
a(x,y,K(z,u * z)) = a(x,y,K(z,u)).
a(x,y,K(z,z * u)) = a(x,y,K(z,u)).
a(x,L(y,z,y),u) = a(x,y,u).
a(x,y,z) = a(x,L(y,u,y),z).
a(x,y,a(z,u,z) * w) = a(x,y,w).
a(x,y,z) = a(x,y,a(u,w,u) * z).
a(x,y,a(z,u,z) \ w) = a(x,y,w).
a(x,y,a(z,u,z) \ w) = (z * L(w,y,x)) \ (z * w).
(x * L(y,z,u)) \ (x * y) = a(u,z,a(x,w,x) \ y).
R(x,y,x) * L(a(x,y,x) \ z,u,w) = x * L(z,u,w).
L(a(x,y,x) \ z,u,w) = a(x,y,x) \ L(z,u,w).
a(x,y,x) \ L(z,u,w) = L(a(x,y,x) \ z,u,w).
L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y).
((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(x,y,z).
(x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u).
((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(x,y,z).
(x / y) * (y / a(z,u,T(z,x))) = a(z,u,z) \ x.
(x / y) * (y / a(z,u,T(z,x))) = (a(z,u,z) \ 1) * x.
a(x,y,x) \ T(z,y) = T(a(x,y,x) \ z,y).
T(a(x,y,x) \ z,y) = a(x,y,x) \ T(z,y).
T(T(x,a(y,z,y)),u) = T(x,u * a(y,z,y)).
T(x,y * a(z,u,z)) = T(T(x,a(z,u,z)),y).
x * y != T(z,u) * x | y = T(T(z,x),u).
T(x / a(y,z,y),u * a(y,z,y)) = T(a(y,z,y) \ x,u).
K(x * (a(y,z,u) \ w),a(y,z,u)) = K(x * T(w,a(y,z,u)),a(y,z,u)).
K(x * T(y,a(z,u,w)),a(z,u,w)) = K(x * (a(z,u,w) \ y),a(z,u,w)).
T(x * a(y,z,y),L(T(u,a(y,z,y)),a(y,z,y),x)) = (T(u,a(y,z,y)) \ (x * u)) * a(y,z,y).
(x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u).
(x \ (y * (z / a(u,w,u)))) * a(u,w,u) = x \ (y * z).
x \ (y * z) = (x \ (y * (z / a(u,w,u)))) * a(u,w,u).
1 / (x * (y / a(z,u,z))) = a(z,u,z) / (x * y).
(x * (y * (a(z,u,z) * w))) \ ((x * y) * (a(z,u,z) * w)) = a(x,y * a(z,u,z),L(w,a(z,u,z),y)).
a(x,y,x) * T(z,u * a(x,y,x)) = T(z,u) * a(x,y,x).
T(x,y) * a(z,u,z) = a(z,u,z) * T(x,y * a(z,u,z)).
x \ (y * (x * a(z,u,z))) = T(y,x) * a(z,u,z).
K(x * (y * a(z,u,w)),a(z,u,w)) = K(x * y,a(z,u,w)).
K(x * (y * z),z) = K(z * (x * y),z).
K(x * L(y,z,u),y) = K(y * x,y).
K(x * y,x) = K(y * L(x,z,u),x).
K(x * T(y,L(x,z,u)),x) = K(x * y,x).
x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u).
L(x,y,((y * x) * a(z,u,z)) / (y * x)) = ((a(z,u,T(z,(y * x) \ 1)) * y) \ (y * x)) * a(z,u,z).
(x / (y / a(z,u,z))) \ (T(x * a(z,u,z),y) / y) = K(x * a(z,u,z),y).
K(x * a(y,z,y),u) = (x / (u / a(y,z,y))) \ (T(x * a(y,z,y),u) / u).
(x / ((R(y,z,y) \ T(x,y)) * a(y,z,y))) * a(y,z,y) = R(T(y,x),z,y).
1 / (x * (y / a(z,u,z))) = a(z,u,z) * (1 / (x * y)).
(((x * y) * z) * a(u,w,u)) / ((y * z) * a(u,w,u)) = R(x,y,z).
x \ ((y * x) * a(z,u,z)) = T(y,x) * a(z,u,z).
x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z).
(x * a(y,z,y)) / u = x / (u / a(y,z,y)).
x / (y / a(z,u,z)) = (x * a(z,u,z)) / y.
(x / a(y,z,y)) / u = x / (u * a(y,z,y)).
(x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w).
R(x,y,a(z,u,z)) = x.
K(x * T(y,L(x,z,u)),x) = a(x,y,x) / K(x,y).
a(x,y,x) / K(x,y) = K(x * T(y,L(x,z,u)),x).
a(x,T(y,L(x,z,u)),x) = a(x,y,x).
(x * y) / a(z,u,T(z,w)) = x * (y / a(z,u,T(z,w))).
L(a(x,y,T(x,z)),u,w) = a(x,y,T(x,z)).
(x / y) * (y * T(z \ L(z,u,z),x)) = (a(z,u,z) \ 1) * x.
L(T(a(x,y,x),z),u,w) = a(x,y,T(x,z)).
a(x,y,T(x,z)) = L(T(a(x,y,x),z),u,w).
L(x \ L(x,y,x),z,u) = a(x,y,x) \ 1.
((x / y) * (T(z * y,z) / z)) / L(a(z,y,T(z,x)),y,x / y) = T(x,a(z,y,z)).
a(x,y,x) * (1 / z) = a(x,y,x) / z.
a(x,y,x) / z = a(x,y,x) * (1 / z).
(x * y) / a(z,u,z) = x * (y / a(z,u,z)).
(x * y) * a(z,u,z) = x * (y * a(z,u,z)).
L(T(a(x,y,x),z),u,w) = T(a(x,y,x),z).
L(a(x,y,x),z,u) = a(x,y,x).
a(x,y,x) = L(a(x,y,x),z,u).
a(x,y,L(x,z,u)) = a(x,y,x).
a(x,y,x) = a(x,y,L(x,z,u)).
a(x,T(y,L(x,z,u)),x) = a(x,y,L(x,z,u)).
L(a(x,y,x) \ 1,z,u) = a(x,y,x) \ 1.
a(x,y,x) \ 1 = L(a(x,y,x) \ 1,z,u).
a(L(x,y,z),u,x) = a(x,u,x).
a(x,y,x) = a(L(x,z,u),y,x).
a(L(x,y,z),u,x) = x / L(x,u,x).
L(x,y,L(x,z,u)) = L(x,y,x).
a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)).
L(x,y,L(x,z,u)) = a(x,y,L(x,z,u)) \ x.
a(L(x,y,z),u,x) = a(x,u,L(x,y,z)).
a(x,y,L(x,z,u)) = a(L(x,z,u),y,x).
a(x,y,L(R(z,u,z),w,v5)) = a(x,y,L(z,w,v5)).
L(R(x,y,L(x,z,u)),z,u) = L(R(x,y,x),z,u).
L(R(x,y,x),z,u) = L(R(x,y,L(x,z,u)),z,u).
L(R(x,a(y,z,x) \ u,x),z,y) = L(R(x,u,L(x,z,y)),z,y).
L(T(x * K(L(x,y,z) * u,x),u),y,z) = L(R(x,u,L(x,y,z)),y,z).
L(T(x * K(L(x,y,z) * u,x),u),y,z) = L(R(x,u,L(T(x,u),y,z)),y,z).
L(T(((L(x,y,z) * u) * x) / (L(x,y,z) * u),u),y,z) = L(R(x,u,L(T(x,u),y,z)),y,z).
T(x * L(T(y,x),z,u),L(T(y,x),z,u)) / T(x,L(T(y,x),z,u)) = L(T(((L(y,z,u) * x) * y) / (L(y,z,u) * x),x),z,u).
T(x * L(T(y,x),z,u),L(T(y,x),z,u)) / T(x,L(T(y,x),z,u)) = L(((L(y,z,u) * x) * T(y,x)) / (L(y,z,u) * x),z,u).
L(((L(x,y,z) * u) * T(x,u)) / (L(x,y,z) * u),y,z) = T(u * L(T(x,u),y,z),L(T(x,u),y,z)) / T(u,L(T(x,u),y,z)).
T(x * L(T(y,x),z,u),L(T(y,x),z,u)) / T(x,L(T(y,x),z,u)) = L(R(y,x,L(T(y,x),z,u)),z,u).
T(x * L(T(y,x),z,u),L(T(y,x),z,u)) / T(x,L(T(y,x),z,u)) = ((L(y,z,u) * x) * L(T(y,x),z,u)) / (L(y,z,u) * x).
T(x * L(T(y,x),z,u),L(T(y,x),z,u)) / T(x,L(T(y,x),z,u)) = R(L(y,z,u),x,L(T(y,x),z,u)).
R(L(x,y,z),u,L(T(x,u),y,z)) = T(u * L(T(x,u),y,z),L(T(x,u),y,z)) / T(u,L(T(x,u),y,z)).
a(((x \ 1) / y) * z,u,w) = a((y * x) \ z,u,w).
a((x * y) \ z,u,w) = a(((y \ 1) / x) * z,u,w).
a(x * (1 / y),z,u) = a(x / y,z,u).
a(x / y,z,u) = a(x * (1 / y),z,u).
a(x / (y \ 1),z,u) = a(x * y,z,u).
a(x * y,z,u) = a(x / (y \ 1),z,u).
a((x / (y \ 1)) \ z,u,w) = a((x * y) \ z,u,w).
a(a(x,y,y \ 1) * z,u,w) = a(z,u,w).
a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w) = a(z,u,w).
a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w) = a(z,u,L(w,z * u,a(x,y,y \ 1))).
a(((x / (y * x)) / x) * z,u,w) = a(((y \ 1) / x) * z,u,w).
a(((x / (y * x)) / x) * z,u,w) = a((x / (y \ 1)) \ z,u,w).
a(L(x / (y \ 1),y \ 1,y) \ z,u,w) = a(((x / (y * x)) / x) * z,u,w).
a((x / y) \ z,u,w) = a((y / x) * z,u,w).
a((x / y) * z,u,w) = a((y / x) \ z,u,w).
a((1 / (x / y)) * z,u,w) = a((y / x) * z,u,w).
a(((x / y) * (y / x)) \ z,u,w) = a(z,u,w).
a(x,y,z) = a(((u / w) * (w / u)) \ x,y,z).
a(L(x,y \ 1,y) \ z,u,w) = a(x \ z,u,w).
a((1 / x) * y,z,u) = a(x \ y,z,u).
a((1 / x) \ y,z,u) = a(x * y,z,u).
a(((x / y) * (y / x)) * z,u,w) = a(z,u,w).
a(a(x,x \ 1,y) * z,u,w) = a(z,u,w).
a((((x \ y) / y) * x) * z,u,w) = a(z,u,w).
a(L(x,y,y \ 1),z,u) = a(x,z,u).
a(x,y,z) = a(L(x,u,u \ 1),y,z).
a(a(x \ 1,x,y) * z,u,w) = a(z,u,w).
a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w) = a(z,u,w).
a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w) = a(z,u,L(w,z * u,a(x \ 1,x,y))).
(a(x,y,y \ 1) * (z * (u * w))) \ (a(x,y,y \ 1) * ((z * u) * w)) = a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w).
(a(x \ 1,x,y) * (z * (u * w))) \ (a(x \ 1,x,y) * ((z * u) * w)) = a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w).
(a(x,y,y \ 1) * (z * (u * w))) \ ((a(x,y,y \ 1) * (z * u)) * w) = a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w).
(a(x \ 1,x,y) * (z * (u * w))) \ ((a(x \ 1,x,y) * (z * u)) * w) = a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w).
((1 / x) * (y * x)) \ (x * y) = T(y,x) \ ((1 / x) \ y).
K(x,y) \ (x \ ((1 / y) \ x)) = ((1 / y) * (x * y)) \ (y * x).
K((x \ 1) * (y * x),y \ ((x \ 1) \ y)) = K(y,x).
K((x \ 1) * (y * x),y \ ((x \ 1) \ y)) = K(T(y,x),x).
K((x \ 1) * (y * x),y \ ((x \ 1) \ y)) = K(x \ (y * x),x).
K((x \ 1) * (y * x),y \ ((x \ 1) \ y)) = K((x \ 1) * (y * x),x).
K((x \ 1) * (y * x),y \ ((x \ 1) \ y)) = K((1 / x) * (y * x),x).
K((x \ 1) * (y * x),y \ ((x \ 1) \ y)) = K((1 / x) * (y * x),(x \ 1) \ 1).
K((1 / x) * (y * x),(x \ 1) \ 1) = K((x \ 1) * (y * x),y \ ((x \ 1) \ y)).
K((x \ 1) * (y * ((x \ 1) \ 1)),(x \ 1) \ 1) = K((x \ 1) * (y * x),y \ ((x \ 1) \ y)).
K((x \ 1) * (y * ((x \ 1) \ 1)),(x \ 1) \ 1) = K((1 / x) * (y * x),y \ ((x \ 1) \ y)).
K((1 / x) * (y * x),y \ ((x \ 1) \ y)) = K((x \ 1) * (y * ((x \ 1) \ 1)),(x \ 1) \ 1).
((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x) = L(z \ R(z,u,w),y,x).
L(x \ R(x,y,z),u,w) = ((w * (u / x)) \ (w * u)) \ L(R(x,y,z),u / x,w).
L(T(x \ R(x,y,z),z),u,w) = ((w * (u / x)) \ (w * u)) \ L(R(x,y,z),u / x,w).
T(L(x \ R(x,y,z),u,w),z) = ((w * (u / x)) \ (w * u)) \ L(R(x,y,z),u / x,w).
T((x * y) \ (x * (y * (z \ R(z,u,w)))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R(z,u,w))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R((y / z) \ y,u,w))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
T((x * y) \ (x * ((y / z) * R((y / z) \ (x \ (x * y)),u,w))),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
K(x \ ((y \ 1) * (y * x)),z) = K(z,a(y \ 1,y,x)).
K(x \ ((y \ 1) * (y * x)),z) = K(a(y \ 1,y,x) \ 1,z).
K(a(x \ 1,x,y) \ 1,z) = K(y \ ((x \ 1) * (x * y)),z).
(x \ 1) \ ((((1 / x) \ y) / y) \ 1) = a(x \ 1,x,y) \ 1.
x * ((((1 / x) \ y) / y) \ 1) = a(x \ 1,x,y) \ 1.
(x \ 1) \ ((((1 / x) \ y) / y) \ 1) = x * ((((1 / x) \ y) / y) \ 1).
x * ((((1 / x) \ y) / y) \ 1) = (x \ 1) \ ((((1 / x) \ y) / y) \ 1).
(x \ 1) / (((y / (x * y)) \ 1) \ 1) = x * ((((1 / x) \ y) / y) \ 1).
x * ((((1 / x) \ y) / y) \ 1) = (x \ 1) / (((y / (x * y)) \ 1) \ 1).
((x \ 1) / (y / (x * y))) * K(x,x \ 1) = x * ((((1 / x) \ y) / y) \ 1).
x * ((((1 / x) \ y) / y) \ 1) = ((x \ 1) / (y / (x * y))) * K(x,x \ 1).
((x \ 1) / (y / (x * y))) / K(x \ 1,x) = x * ((((1 / x) \ y) / y) \ 1).
((x \ 1) / (y / (x * y))) / a(x \ 1,x,x \ 1) = x * ((((1 / x) \ y) / y) \ 1).
((x \ 1) / (y / (x * y))) / a(x \ 1,x,1 / x) = x * ((((1 / x) \ y) / y) \ 1).
((x \ 1) / (y / (x * y))) / a(x \ 1,x,y / ((1 / x) \ y)) = x * ((((1 / x) \ y) / y) \ 1).
((x \ 1) / (y / (x * y))) / a(x \ 1,x,(((1 / x) \ y) / y) \ 1) = x * ((((1 / x) \ y) / y) \ 1).
((x \ 1) / (y / (x * y))) * K(x,x \ 1) = (x \ 1) \ ((((1 / x) \ y) / y) \ 1).
(1 / x) / (y / ((1 / (1 / x)) * y)) = (x \ 1) / (y / (x * y)).
(1 / x) / (y / ((1 / (1 / x)) * y)) = (x \ 1) \ ((((x \ 1) \ y) / y) \ 1).
(x \ 1) \ ((((x \ 1) \ y) / y) \ 1) = (1 / x) / (y / ((1 / (1 / x)) * y)).
((1 / x) / (y / ((1 / (1 / x)) * y))) * K(x,x \ 1) = (x \ 1) \ ((((1 / x) \ y) / y) \ 1).
((1 / x) / (y / ((1 / (1 / x)) * y))) / a(x \ 1,x,(((1 / x) \ y) / y) \ 1) = x * ((((1 / x) \ y) / y) \ 1).
(x \ 1) \ (K(x \ 1,x) * ((((1 / x) \ y) / y) \ 1)) = (1 / x) / (y / ((1 / (1 / x)) * y)).
(x \ 1) \ ((((x \ 1) \ y) / y) \ 1) = (x \ 1) / (y / (x * y)).
(x \ 1) / (y / (x * y)) = (x \ 1) \ ((((x \ 1) \ y) / y) \ 1).
x / (y / ((1 / x) * y)) = x \ (((x \ y) / y) \ 1).
T(x,((x \ y) / y) * x) / (y / ((1 / x) * y)) = x \ (((x \ y) / y) \ 1).
((x * (y / (x * y))) \ z) * (x * (y / (x * y))) = T(z,a(x \ 1,x,y)).
((x * (y / (x * y))) \ z) * (x * (y / (x * y))) = z * K(z,a(x \ 1,x,y)).
((x * (y / (x * y))) \ z) * (x * (y / (x * y))) = z * K(a(x \ 1,x,y) \ 1,z).
x / K(x,a(y \ 1,y,z) \ 1) = ((y * (z / (y * z))) \ x) * (y * (z / (y * z))).
K(a(x \ 1,x,y),(x * (y / (x * y))) \ z) = K(z,a(x \ 1,x,y) \ 1).
K(a(x \ 1,x,y),(x * (y / (x * y))) \ z) = K(z,x \ ((y / (x * y)) \ 1)).
K(a(x \ 1,x,y),(x * (y / (x * y))) \ z) = K(z,x \ (1 / (y / (x * y)))).
K(x,y \ (1 / (z / (y * z)))) = K(a(y \ 1,y,z),(y * (z / (y * z))) \ x).
K(x * (y / (x * y)),(x * (y / (x * y))) \ z) = K(z,x \ (1 / (y / (x * y)))).
K(x,y \ (1 / (z / (y * z)))) = K(y * (z / (y * z)),(y * (z / (y * z))) \ x).
((x * (y / (x * y))) \ z) \ (z / (x * (y / (x * y)))) = K(z,x \ (1 / (y / (x * y)))).
x / (y \ ((z \ 1) * (z * y))) = x * (z * (y / (z * y))).
x * (y * (z / (y * z))) = x / (z \ ((y \ 1) * (y * z))).
x * ((y * K(z,y)) * (z / (z * y))) = x / (z \ ((y \ 1) * (y * z))).
x / (y \ ((z \ 1) * (z * y))) = x * ((z * K(y,z)) * (y / (y * z))).
x / (y \ ((z \ K(z,y)) * (y * z))) = x * ((z * K(y,z)) * (y / (y * z))).
(x / (x * y)) \ (y \ K(y,x)) = x \ ((y \ K(y,x)) * (x * y)).
x \ ((y \ K(y,x)) * (x * y)) = (x / (x * y)) \ (y \ K(y,x)).
x * ((y * z) / y) != 1 / (y / (y * z)) | x = (y / (y * z)) \ (z \ K(z,y)).
(x \ ((y \ K(y,x)) * (x * y))) * ((x * y) / x) = 1 / (x / (x * y)).
(x \ ((y \ 1) * (y * x))) * ((x * y) / x) = 1 / (x / (x * y)).
R(x,x \ y,K(z \ ((u \ 1) * (u * z)),y)) \ (((u * (z / (u * z))) \ y) / (z \ ((u \ 1) * (u * z)))) = (x \ y) * K(z \ ((u \ 1) * (u * z)),y).
(x \ ((y \ 1) * (y * x))) * z = (y * (x / (y * x))) \ z.
(x \ (x / (y * (z / (y * z))))) * u = (y * (z / (y * z))) \ u.
((x * (y / (x * y))) \ z) \ (z * (x \ (1 / (y / (x * y))))) = K(z,x \ (1 / (y / (x * y)))).
K(x,y \ (1 / (z / (y * z)))) = ((y * (z / (y * z))) \ x) \ (x * (y \ (1 / (z / (y * z))))).
(x \ (1 / (y / (x * y)))) * z = (x * (y / (x * y))) \ z.
(x * (y / (x * y))) \ z = (x \ (1 / (y / (x * y)))) * z.
1 \ ((x \ (1 / (y / (x * y)))) * z) = (x * (y / (x * y))) \ z.
1 \ (((1 / (x / (y * x))) / y) * z) = (y * (x / (y * x))) \ z.
L((x * (y / (x * y))) \ z,x * (y / (x * y)),(1 / (y / (x * y))) / x) = 1 \ (((1 / (y / (x * y))) / x) * z).
K((x \ 1) * (y * x),y \ ((x \ 1) \ y)) \ (y \ ((1 / x) \ y)) = ((1 / x) * (y * x)) \ (x * y).
K((1 / x) * (y * x),y \ ((x \ 1) \ y)) \ (y \ ((1 / x) \ y)) = ((1 / x) * (y * x)) \ (x * y).
L(x * ((x * y) \ y),z,u) \ (y / (x \ 1)) = (x * y) * a(u,z,K(y,x)).
L(x * ((x * y) \ y),z,u) \ (y / (x \ 1)) = (x * y) * a(u,z,x * ((x * y) \ y)).
(x * y) \ (y / (x \ 1)) = x * ((x * y) \ y).
((x / (y \ 1)) / x) * (y \ 1) = (y * x) \ (x / (y \ 1)).
(x * y) \ (y / (x \ 1)) = ((y / (x \ 1)) / y) * (x \ 1).
((1 / x) * y) \ (y / x) = ((y / x) / y) * x.
L(x \ y,x,x \ 1) \ (y / x) = ((y / x) / y) * x.
((x / y) / x) * y = L(y \ x,y,y \ 1) \ (x / y).
L(K(x,y),z,u) * a((L(x \ 1,z,u) \ 1) \ 1,L(x \ 1,z,u) \ 1,y) = (y / (y * (L(x \ 1,z,u) \ 1))) * (L(x \ 1,z,u) \ 1).
K((1 / x) * (y * x),y \ ((1 / x) \ y)) \ (y \ ((1 / x) \ y)) = ((1 / x) * (y * x)) \ (x * y).
a(x \ 1,x,x \ y) * K(x,x \ y) = ((y / x) / y) * x.
K(x,y) * a(x \ 1,x,y) = (y / (y * x)) * x.
x * ((y / (y * x)) * x) = y \ ((1 / x) \ y).
a(x \ 1,x,y) * K(x,y) = (y / (y * x)) * x.
a(x \ 1,x,y) * K(x,y) = (x \ 1) * (y \ ((x \ 1) \ y)).
(x \ 1) * (y \ ((x \ 1) \ y)) = a(x \ 1,x,y) * K(x,y).
(x \ 1) * R(T(x,y),x \ 1,y * x) = a(x \ 1,x,y) * K(x,y).
a(x \ 1,x,y) * K(x,y) = (x \ 1) * R(T(x,y),x \ 1,y * x).
(x \ 1) * R(T(x,y),x \ 1,y * x) = R(1 / x,x,y) * T(x,y).
R(1 / x,x,y) * T(x,y) = (x \ 1) * R(T(x,y),x \ 1,y * x).
R(1 / x,x,y) * (y * (T(y,x) \ x)) = (x \ 1) * R(T(x,y),x \ 1,y * x).
R(1 / x,x,y) * (T(y,x) \ (y * x)) = (x \ 1) * R(T(x,y),x \ 1,y * x).
R(1 / x,x,y) * (T(y,x) \ (y * x)) = (x \ 1) * (((x \ 1) * (y * x)) \ (y * x)).
a(x * y,y \ 1,y) \ K(x * y,y \ 1) = R(1 / y,y,x) * (T(x,y) \ (x * y)).
a(x * y,y \ 1,y) \ K(x * y,R(y \ 1,y,x)) = R(1 / y,y,x) * (T(x,y) \ (x * y)).
a(x * y,y \ 1,y) \ K(x * y,R(1 / y,y,x)) = R(1 / y,y,x) * (T(x,y) \ (x * y)).
L(T(x,x \ 1) \ y,x,((z * x) / z) \ 1) = K(x,z) \ ((((z * x) / z) \ 1) * y).
L(T(x,x \ 1) \ y,x,((z * x) / z) \ 1) = (x * (((z * x) / z) \ 1)) \ ((((z * x) / z) \ 1) * y).
(x * (((y * x) / y) \ 1)) \ ((((y * x) / y) \ 1) * z) = L(T(x,x \ 1) \ z,x,((y * x) / y) \ 1).
L(T(x,x \ 1) \ y,T(x,x \ 1),((z * x) / z) \ 1) = (x * (((z * x) / z) \ 1)) \ ((((z * x) / z) \ 1) * y).
T((x * y) \ ((x * (y / z)) * R((x * (y / z)) \ (x * y),u,w)),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
R(x \ (((x \ y) / y) \ 1),((x \ y) / y) * x,T(x,((x \ y) / y) * x)) = T(x,((x \ y) / y) * x) / (y / ((1 / x) * y)).
T(1 / x,K(y,y \ x)) * (y * (x / y)) = (x \ K(y,y \ x)) / (x \ 1).
((x \ 1) * K(y,y \ x)) / (x \ 1) = (x \ K(y,y \ x)) / (x \ 1).
(x \ K(y,y \ x)) / (x \ 1) = ((x \ 1) * K(y,y \ x)) / (x \ 1).
(K(x,x \ y) * (y \ 1)) / (((x \ y) * x) \ 1) = K(K(x,x \ y),y \ 1).
x \ T(K(y,y \ x),x \ 1) = K(y,y \ x) * (x \ 1).
(x \ K(y,y \ x)) / ((y * (y \ x)) \ 1) = ((x \ 1) * K(y,y \ x)) / (x \ 1).
x \ T(K(y,y \ x),x \ 1) = K(y,y \ x) * ((y * (y \ x)) \ 1).
K(x,x \ y) * ((x * (x \ y)) \ 1) = y \ T(K(x,x \ y),y \ 1).
K(x,y) \ ((y * x) \ 1) = T((x * y) \ 1,K(x,y)).
T((x * y) \ 1,K(x,y)) = K(x,y) \ ((y * x) \ 1).
((x * y) \ 1) / K(y,x) = (y * x) \ 1.
x * (y * z) != K(z \ (y \ 1),y * z) | x = (y * z) \ 1.
(((x * y) \ 1) / K(y,x)) * (y * x) = K(x \ (y \ 1),y * x).
a(x \ (y \ 1),y * x,y \ (x \ 1)) = (((x * y) \ 1) / K(y,x)) * (y * x).
(((x * y) \ 1) / K(y,x)) * (y * x) = a(x \ (y \ 1),y * x,y \ (x \ 1)).
a(x \ (y \ 1),y * x,(x * y) \ 1) = (((x * y) \ 1) / K(y,x)) * (y * x).
(((x * y) \ 1) / K(y,x)) * (y * x) = a(x \ (y \ 1),y * x,(x * y) \ 1).
(x / (y * (1 / z))) * (1 / z) = (x / (y * (z \ 1))) * (z \ 1).
a(x \ (y \ 1),y * x,y \ (x \ 1)) = K(x \ (y \ 1),y * x).
K(x \ (y \ 1),y * x) = a(x \ (y \ 1),y * x,y \ (x \ 1)).
a(x \ (y \ 1),y * x,(y \ 1) / x) = K(x \ (y \ 1),y * x).
(((x * y) \ K(x,y)) / K(x,y)) * (x * y) = a(y \ (x \ 1),x * y,(y * x) \ 1).
a((x * y) \ 1,x * y,z) = a(y \ (x \ 1),x * y,z).
a(x \ (y \ 1),y * x,z) = a((y * x) \ 1,y * x,z).
a(1 / (x * y),x * y,z) = a(y \ (x \ 1),x * y,z).
a(x \ (y \ 1),y * x,z) = a(1 / (y * x),y * x,z).
L(x,y * z,z \ (y \ 1)) \ x = a(1 / (y * z),y * z,x).
L(x,y * z,z \ (y \ 1)) \ (1 * x) = a(1 / (y * z),y * z,x).
L(x,y * z,(y * z) \ 1) = L(x,y * z,z \ (y \ 1)).
L(x,y * z,(y * z) \ 1) = L(x,y * z,z \ (1 / y)).
L(x,(1 / (1 / y)) * z,z \ (1 / y)) = L(x,y * z,(y * z) \ 1).
a(x / ((x \ y) \ 1),y \ 1,y) = K(y,y \ 1).
a(x / ((x \ y) \ 1),y \ 1,y) = (1 / y) / (y \ 1).
(1 / x) / (x \ 1) = a(y / ((y \ x) \ 1),x \ 1,x).
(x / ((x \ y) \ 1)) \ ((x \ y) * (y \ x)) = y \ 1.
(x * ((y \ x) * (x \ y))) \ ((y \ x) * (x \ y)) = x \ 1.
T(1 / x,y / ((y \ x) \ 1)) = x \ 1.
T(1 / x,(x / y) / (y \ 1)) = x \ 1.
T(1 / x,(x / (1 / y)) / y) = x \ 1.
x \ 1 = T(1 / x,(x / (1 / y)) / y).
((x / (1 / y)) / y) \ (((x * y) \ x) * y) = x \ 1.
L(x,y,(z / u) \ 1) = L(x,y,u / z).
L(x,y,(z / u) \ w) = L(x,y,(u / z) * w).
L(x,y,(z / u) * w) = L(x,y,(u / z) \ w).
L(x,y,((z \ u) / u) * w) = L(x,y,z \ w).
L(x,y,(z / (u * z)) * w) = L(x,y,u \ w).
L(x,y,R(1 / z,z,u) * w) = L(x,y,z \ w).
L(x,y,a(z \ 1,z,u) * (z \ w)) = L(x,y,R(1 / z,z,u) * w).
L(x \ 1,x,y * ((x * y) \ x)) = ((x / (1 / y)) / y) \ (((x * y) \ x) * y).
L(x,(1 / (1 / y)) * z,(y * z) \ 1) = L(x,(1 / (1 / y)) * z,z \ (1 / y)).
x / L(T(y,z \ 1),z \ 1,x / (y * (z \ 1))) = (x / (y * (1 / z))) * (1 / z).
L(x,y,(a(z \ 1,z,u) \ z) \ w) = L(x,y,R(1 / z,z,u) * w).
L(x,y,(z \ 1) \ u) = L(x,y,z * u).
L(x,y,z * u) = L(x,y,(z \ 1) \ u).
L(x,(1 / (1 / y)) * z,u) = L(x,y * z,u).
L(x,K(y \ 1,y) * z,u) = L(x,z,u).
L(x,y,((z * u) \ z) * u) = L(x,y,u * ((z * u) \ z)).
L(x,y,((1 / (1 / z)) * u) \ w) = L(x,y,(z * u) \ w).
L(x,y,z / (u * (1 / w))) = L(x,y,z / (u * (w \ 1))).
L(x,y,z \ (1 / u)) = L(x,y,z \ (u \ 1)).
L(x,y,z \ (u \ 1)) = L(x,y,z \ (1 / u)).
L(x,y,z * K(u \ 1,u)) = L(x,y,z).
L(x,y,z * K(u,u \ 1)) = L(x,y,z).
L(x,y,z) = L(x,y,z * K(u,u \ 1)).
L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u).
L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u).
L(x,y,(z \ 1) * u) = L(x,y,z \ u).
L(x,y,z \ u) = L(x,y,(z \ 1) * u).
L(x,y,K(z \ 1,z) * u) = L(x,y,u).
L(x,y,a(z \ 1,z,u) * w) = L(x,y,w).
L(x,L(y,z,a(u \ 1,u,w)),a(u \ 1,u,w) * z) = L(x,y,z).
L(L(x,y,z),z * y,a(u \ 1,u,w)) = L(x,L(y,z,a(u \ 1,u,w)),a(u \ 1,u,w) * z).
L(x,L(y,z,a(u \ 1,u,w)),a(u \ 1,u,w) * z) = L(L(x,y,z),z * y,a(u \ 1,u,w)).
(x * (y * (x \ 1))) \ (y * (x \ 1)) = y \ (x \ y).
(x * (y * (x \ 1))) \ (y * (x \ 1)) = y \ (1 * (x \ y)).
(x * (y * (x \ 1))) \ (y * (x \ 1)) = R(T(1 / x,y),x,x \ y).
R(T(1 / x,y),x,x \ y) = (x * (y * (x \ 1))) \ (y * (x \ 1)).
R(T(1 / x,R(y,x \ 1,x)),x,x \ y) = (x * (y * (x \ 1))) \ (y * (x \ 1)).
T(R(1 / x,x,x \ y),R(y,x \ 1,x)) = (x * (y * (x \ 1))) \ (y * (x \ 1)).
(x * (y * (x \ 1))) \ (y * (x \ 1)) = T(R(1 / x,x,x \ y),R(y,x \ 1,x)).
a(x / y,(x / y) \ 1,z) = a(x / y,y / x,z).
a(x / y,y / x,z) = a(x / y,(x / y) \ 1,z).
K(a(x,y,z),u / w) = K(w / u,a(x,y,z)).
K(a(x,y,((z / u) * (u / z)) * w),u / z) = K(z / u,a(x,y,w)).
a(x,y,z * (((1 / u) \ w) \ w)) = a(x,y,z / T(u,w)).
a(x,y,z / T(u,w)) = a(x,y,z * (((1 / u) \ w) \ w)).
a(x,y,z / (u \ ((1 / w) \ u))) = a(x,y,z / T(w,u)).
a(x,y,z / (u \ ((1 / w) \ u))) = a(x,y,z * (1 / T(w,u))).
a(x,y,z * (1 / T(u,w))) = a(x,y,z / (w \ ((1 / u) \ w))).
a(x / y,y / x,(x / y) * ((x / y) \ z)) = a(x / y,(x / y) \ 1,z).
a(x,y,(z / u) \ w) = a(x,y,(u / z) * w).
K(a(x,y,((z / u) * (u / z)) * w),u / z) = K((z / u) * w,a(x,y,w)).
K((x / y) * z,a(u,w,z)) = K(a(u,w,((x / y) * (y / x)) * z),y / x).
a(x,y,((z / u) \ 1) \ w) = a(x,y,(u / z) \ w).
a(x,y,((z / u) * (u / z)) * w) = a(x,y,w).
a(x,y,a(z,z \ 1,u) * w) = a(x,y,w).
a(x,y,z * a(u,u \ 1,w)) = a(x,y,z).
a(x,y,z * a(u,u \ 1,w)) = a(x,y,(z / u) * u).
a(x,y,z * a(u,u \ 1,w)) = a(x,y,(z / u) / (u \ 1)).
a(x,y,z * (u / ((1 / T(w,u)) \ u))) = a(x,y,z / (u \ ((1 / w) \ u))).
a(x,y,z / (u \ ((1 / w) \ u))) = a(x,y,z * (u / ((1 / T(w,u)) \ u))).
a(x,y,z * (u / (w * u))) = a(x,y,z / w).
a(x,y,z / u) = a(x,y,z * (w / (u * w))).
a(x,y,z / (u / w)) = a(x,y,z * (w / u)).
a(x,y,z * (u / w)) = a(x,y,z / (w / u)).
T(x,y) \ R(T(x,y),y,z * (u / w)) = a(x,y,z / (w / u)).
a(x,y,z / (u / w)) = T(x,y) \ R(T(x,y),y,z * (w / u)).
R(x,y,z / (u / w)) = R(x,y,z * (w / u)).
R(x,y,z * (u / w)) = R(x,y,z / (w / u)).
R(x,y,z * (u / (w * u))) = R(x,y,z / w).
R(x,y,z / u) = R(x,y,z * (w / (u * w))).
R(x,y,z * R(u \ 1,u,w)) = R(x,y,z / u).
R(x,y,(z / u) * a(u \ 1,u,w)) = R(x,y,z * R(u \ 1,u,w)).
R(x,y,(z / u) * a(u \ 1,u,w)) = R(x,y,z * R(1 / u,u,w)).
T(R(1 / x,x,x \ y),(y * (x \ 1)) * x) = (x * (y * (x \ 1))) \ (y * (x \ 1)).
R(x,y,T(z * (u / z),z)) = R(x,y,u).
R(x,y,T(z * u,z)) = R(x,y,u * z).
R(x,y,T(z * u,z)) = R(x,y,(u \ 1) \ z).
R(x,y,(z \ 1) \ u) = R(x,y,T(u * z,u)).
(x * (y \ 1)) / (y * (x * (y \ 1))) = R(1 / y,y,y \ x).
R(1 / x,x,x \ y) = (y * (x \ 1)) / (x * (y * (x \ 1))).
R(x,y,((z * u) \ z) \ z) = R(x,y,(u \ 1) \ z).
R(x,y,z / (a(u \ 1,u,w) \ u)) = R(x,y,z * R(1 / u,u,w)).
R(1 / x,x,y * (x \ 1)) = R(1 / x,x,x \ y).
R(x,y,T(z * u,u \ 1)) = R(x,y,(u \ 1) \ z).
R(x,y,z / (u \ 1)) = R(x,y,z * u).
R(x,y,z * u) = R(x,y,z / (u \ 1)).
R(x,y,z * (u \ 1)) = R(x,y,z / u).
R(x,y,(z * (u \ 1)) * u) = R(x,y,z).
R(x,y,R(z,u,u \ 1)) = R(x,y,z).
R(x,y,z * a(u,w,w \ 1)) = R(x,y,z).
R(R(x,y,z),y * z,L(a(u,w,w \ 1),z,x * y)) = R(x,y,z * a(u,w,w \ 1)).
R(x,y,z * a(u,w,w \ 1)) = R(R(x,y,z),y * z,L(a(u,w,w \ 1),z,x * y)).
(a(x \ 1,x,y) * (z * u)) \ (a(x \ 1,x,y) * (z * (u * w))) = L(w,L(u,z,a(x \ 1,x,y)),a(x \ 1,x,y) * z).
L(x * ((x * y) \ y),z,u) \ (y / (x \ 1)) = (x * y) * a(u,z,(x * y) \ (y / (x \ 1))).
(x / (y \ 1)) / (y * x) = y * ((y * x) \ x).
x * ((x * y) \ y) = (y / (x \ 1)) / (x * y).
(x / (y \ 1)) \ (y \ (x / (y \ 1))) = (y * x) \ x.
(x / (y \ 1)) \ (y \ (x / (y \ 1))) = R(T(1 / y,x * y),y,x).
R(T(1 / x,y * x),x,y) = (y / (x \ 1)) \ (x \ (y / (x \ 1))).
R(T(1 / x,x * T(y,x)),x,y) = (y / (x \ 1)) \ (x \ (y / (x \ 1))).
R(T(1 / x,T(y,x) / (x \ 1)),x,y) = (y / (x \ 1)) \ (x \ (y / (x \ 1))).
T(R(1 / x,x,y),T(y,x) / (x \ 1)) = (y / (x \ 1)) \ (x \ (y / (x \ 1))).
T((x \ (y / (x \ 1))) / (y / (x \ 1)),T(y,x) / (x \ 1)) = (y / (x \ 1)) \ (x \ (y / (x \ 1))).
T((x \ (y / (x \ 1))) / (y / (x \ 1)),T(y,x) / (x \ 1)) = (x * (x \ (y / (x \ 1)))) \ (x \ (y / (x \ 1))).
K(K(a(x,y,z),u),w) = K(u,K(a(x,y,z),w)).
x * K(K(a(y,z,u),x),w) = T(x,K(a(y,z,u),w)).
x * K(a(y,z,u),K(x,w)) = T(x,K(a(y,z,u),w)).
x * K(K(y,x),a(z,u,w)) = T(x,K(a(z,u,w),y)).
T(x,K(a(y,z,u),w)) = x * K(K(w,x),a(y,z,u)).
K(K(x,y),a(z,u,w)) = K(y,K(a(z,u,w),x)).
K(K(x,y),a(z,u,w)) * y = T(y,K(a(z,u,w),x)).
K(K(x,y),a(z,u,w)) * (x \ (x * y)) = T(y,K(a(z,u,w),x)).
T(x,K(a(y,z,u),w)) = K(K(w,x),a(y,z,u)) * (w \ (w * x)).
(x * K(a(y,z,u),K(x,w))) \ (x * w) = T(w,K(a(y,z,u),x)).
(x * K(K(a(y,z,u),x),w)) \ (x * w) = T(w,K(a(y,z,u),x)).
L(T(x,K(a(y,z,u),w)),K(a(y,z,u),T(w,x)),T(w,a(y,z,u))) = (w * K(K(a(y,z,u),w),x)) \ (w * x).
L(T(x,K(a(y,z,u),w)),T(K(a(y,z,u),w),x),T(w,a(y,z,u))) = (w * K(K(a(y,z,u),w),x)) \ (w * x).
R(R(x,y,z),y * z,L(a(u,w,w \ 1),z,x * y)) = ((x * y) * (z * a(u,w,w \ 1))) / (y * (z * a(u,w,w \ 1))).
R(x,y,a(z,u,T(w,y))) = R(x,y,a(z,u,w)).
R(R(x,y,a(z,u,w)),y * a(z,u,w),K(a(z,u,w),y)) = R(x,y,a(z,u,T(w,y))).
R(R(x,y,a(z,u,w)),y * a(z,u,w),K(a(z,u,w),y)) = ((x * y) * a(z,u,T(w,y))) / (a(z,u,w) * y).
R(R(x,y,a(z,u,w)),y * a(z,u,w),K(a(z,u,w),y)) = ((x * y) * T(a(z,u,w),y)) / (a(z,u,w) * y).
((x * y) * T(a(z,u,w),y)) / (a(z,u,w) * y) = R(R(x,y,a(z,u,w)),y * a(z,u,w),K(a(z,u,w),y)).
(x * (a(y,x,x \ 1) \ a(y,x,z / (z * x)))) / (y \ (y / (x \ 1))) = (z * (x / (x / a(y,x,x \ 1)))) / z.
((a(x,y,y \ 1) \ y) * a(x,y,z / (z * y))) / (x \ (x / (y \ 1))) = (z * (y / (y / a(x,y,y \ 1)))) / z.
K((x \ K(x,y)) * z,(y * x) / y) = K(z * (K(x,y) / x),x * K(y,x)).
K(x * (K(y,z) / y),y * K(z,y)) = K((y \ K(y,z)) * x,(z * y) / z).
K((K(x,y) / x) * z,(y * x) / y) = K(z * (K(x,y) / x),x * K(y,x)).
K((K(x,y) / x) * z,L((y * x) / y,y / (y * x),1)) = K(z * (K(x,y) / x),x * K(y,x)).
K((1 * (K(x,y) / x)) * z,L((y * x) / y,y / (y * x),1)) = K(z * (K(x,y) / x),x * K(y,x)).
K((1 * (K(x,y) / x)) * z,L((y * x) / y,y / (y * x),1)) = K(z * (K(x,y) / x),(K(x,y) / x) \ 1).
K((1 * (K(x,y) / x)) * z,L((y * x) / y,y / (y * x),1)) = K(z * (K(x,y) / x),(1 * (K(x,y) / x)) \ 1).
((a(x,y,y \ 1) \ y) * a(x,y,z * ((y \ 1) / z))) / (x \ (x / (y \ 1))) = (z * (y / (y / a(x,y,y \ 1)))) / z.
(R((x * y) / x,K(y,x),z) * K(y,x)) \ (y * z) = L(z,K(y,x),y * K(x,y)).
(R((x * y) / x,K(y,x),z) * K(y,x)) \ (y * z) = L(z,K(y,x),y / K(y,x)).
((x * y) / x) * (R((x * y) / x,K(y,x),z) \ z) = z * (((y * z) / (K(y,x) * z)) \ ((x * y) / x)).
x * (((y * x) / (K(y,z) * x)) \ ((z * y) / z)) = ((z * y) / z) * (R((z * y) / z,K(y,z),x) \ x).
L(x,K(y,z),(y * x) / (K(y,z) * x)) = (R((z * y) / z,K(y,z),x) * K(y,z)) \ (y * x).
R((x * y) / x,K(y,x),z) = (y * z) / (K(y,x) * z).
R((x * y) / x,L(K(y,x),x,((x * y) / x) / x),z) = (y * z) / (K(y,x) * z).
R((((x * y) / x) / x) * x,L(K(y,x),x,((x * y) / x) / x),z) = (y * z) / (K(y,x) * z).
a(x,y,T(z,(x * y) \ 1)) = x \ R(x,y,z).
T(a(x,y,z),(x * y) \ 1) = x \ R(x,y,z).
a(x,y,T(z,(x * (y * z)) \ z)) = T(a(x,y,z),(x * y) \ 1).
a(x,y,T(z,((x * (y * z)) / z) \ 1)) = T(a(x,y,z),(x * y) \ 1).
T(a(x,y,z),((x * (y * z)) / z) \ 1) = T(a(x,y,z),(x * y) \ 1).
T(a(x,y,z),((x * (y * z)) / z) \ 1) = T(a(x,y,z),(x * y) \ a(x,y,z)).
T(((x * (y * z)) / z) \ (x * y),((x * (y * z)) / z) \ 1) = T(a(x,y,z),(x * y) \ a(x,y,z)).
T(a(x,y,z),(x * y) \ a(x,y,z)) = T(((x * (y * z)) / z) \ (x * y),((x * (y * z)) / z) \ 1).
(K(x,y) * (a(z,u,T(y,w)) \ y)) \ (y * K(x,y)) = a(z,u,T(y,w)).
(K(x,y) * (a(z,u,T(y,w)) \ y)) \ (K(x,y) * y) = a(z,u,T(y,w)).
(K(x,y) * (a(z,u,T(y,w)) \ y)) \ (K(x,y) * (K(w,y) * T(y,w))) = a(z,u,T(y,w)).
(K(x,y) * (K(z,y) * L(T(y,z),u,w))) \ (K(x,y) * (K(z,y) * T(y,z))) = a(w,u,T(y,z)).
L(T(x,y),K(y,x),K(z,x)) = T(x,y).
(K(x,y) * K(z,y)) \ (y * K(x,y)) = T(y,z).
(((x * y) / x) / z) \ (y * K(x,y)) = z.
(((x * y) / x) / z) \ ((1 / y) \ K(x,y)) = z.
x = (((y * z) / y) / x) \ ((1 / z) \ K(y,z)).
K(x \ 1,x) * ((((y * x) / y) / z) \ ((x \ 1) \ K(y,x))) = z.
x = K(y \ 1,y) * ((((z * y) / z) / x) \ ((y \ 1) \ K(z,y))).
(K(x,x \ 1) * (((y * x) / y) / z)) \ ((x \ 1) \ K(y,x)) = z.
(K(x,x \ 1) * (((y * x) / y) / z)) \ T((y * x) / y,x \ 1) = z.
(K((x * y) / x,y \ 1) * (((x * y) / x) / z)) \ T((x * y) / x,y \ 1) = z.
R(x,y,T(z,u)) \ R(x,y,z) = K(R(x,y,z) \ x,u).
R(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ R(x,y,z).
R(x,y,z) * (R(x,u,w) \ 1) = R(x,y,z) / R(x,u,w).
(R(x,y,z) \ 1) * R(T(x,x \ 1),u,w) = R(x,u,w) * (R(x,y,z) \ 1).
T(x,R(x,y,z) \ 1) = T(x,x \ 1).
T(x,x \ 1) = T(x,R(x,y,z) \ 1).
T(R(x,y,z) * (x / R(x,y,z)),R(x,y,z) \ 1) = T(x,x \ 1).
T(x,x \ 1) = T(R(x,y,z) * (x / R(x,y,z)),R(x,y,z) \ 1).
T(R(x,y,z) * (x / R(x,y,z)),R(x,y,z) \ 1) = K(x,x \ 1) * x.
R(a(x,y,y \ 1) \ z,u,w) = a(x,y,y \ 1) \ R(z,u,w).
(x * ((y * x) \ y)) * R(z,u,w) = R(a(y,x,x \ 1) \ z,u,w).
R(a(x,y,y \ 1) \ z,u,w) = (y * ((x * y) \ x)) * R(z,u,w).
(((a(x,y,y \ 1) \ z) * u) * w) / (u * w) = (y * ((x * y) \ x)) * R(z,u,w).
((a(x,y,y \ 1) \ (z * u)) * w) / (u * w) = (y * ((x * y) \ x)) * R(z,u,w).
(a(x,y,y \ 1) \ ((z * u) * w)) / (u * w) = (y * ((x * y) \ x)) * R(z,u,w).
((x * ((y * x) \ y)) * ((z * u) * w)) / (u * w) = (x * ((y * x) \ y)) * R(z,u,w).
L(x,y,z * ((u * z) \ u)) = x.
L(x,y,z * L(z \ 1,z,u)) = x.
((a(x,y,y \ 1) * z) * (u * w)) \ ((a(x,y,y \ 1) * (z * u)) * w) = a(a(x,y,y \ 1) * z,L(u,z,a(x,y,y \ 1)),w).
L(x,y,a(z,u,u \ 1)) = x.
a(x,y,y \ 1) \ (z * u) = (a(x,y,y \ 1) \ z) * u.
(a(x,y,y \ 1) * z) * u = a(x,y,y \ 1) * (z * u).
a(x,y,y \ 1) * (z * u) = (a(x,y,y \ 1) * z) * u.
R(a(x,y,y \ 1) \ 1,z,u) = a(x,y,y \ 1) \ 1.
a(x,y,y \ 1) \ 1 = R(a(x,y,y \ 1) \ 1,z,u).
R(a(x,y,y \ 1),z,u) = a(x,y,y \ 1).
a(x,y,y \ 1) = R(a(x,y,y \ 1),z,u).
a(x,y,R(y \ 1,z,u)) = a(x,y,y \ 1).
a(x,y,y \ 1) = a(x,y,R(y \ 1,z,u)).
a(x,y,T(y,y * R(y \ 1,z,u)) \ 1) = a(x,y,R(y \ 1,z,u)).
a(x,y,R(y \ 1,z,u)) = a(x,y,T(y,y * R(y \ 1,z,u)) \ 1).
a(x,y,T(y,x * (y * R(y \ 1,z,u))) \ 1) = a(x,y,R(y \ 1,z,u)).
T(a(x,y,y \ 1),x * (y * R(y \ 1,z,u))) = a(x,y,R(y \ 1,z,u)).
T(a(x,y,y \ 1),x * ((1 / y) \ R(1 / y,z,u))) = a(x,y,R(y \ 1,z,u)).
T(x \ R(x,y,y \ 1),x * ((1 / y) \ R(1 / y,z,u))) = a(x,y,R(y \ 1,z,u)).
R(x,y,R(y \ 1,z,u)) = R(x,y,y \ 1).
R(x,y,R(y \ 1,z,u)) = R(x,y,1 / y).
R(x,y,1 / y) = R(x,y,R(y \ 1,z,u)).
R(x,(1 / y) \ 1,1 / y) = R(x,y,R(y \ 1,z,u)).
R(x,y,R(y \ 1,z,u)) = R(x,(1 / y) \ 1,1 / y).
R(x,y,R(y \ 1,z,u)) = (x * (1 / (1 / y))) * (1 / y).
K(x,(y / (z * y)) \ 1) \ (K(x,z) * u) = a(K(x,z),z,y) \ u.
(R(x,y,z) \ 1) * R(T(x,x \ 1),u,w) = R(x,u,w) / R(x,y,z).
(R(x,y,z) \ 1) * R(K(x,x \ 1) * x,u,w) = R(x,u,w) / R(x,y,z).
L(x * y,K(x,z),K(z,x)) / (T(x,z) * y) = R(K(x,z),x,y) \ 1.
(R(K(x,y),x,z) \ 1) * (T(x,y) * z) = L(x * z,K(x,y),K(y,x)).
L(x * y,K(x,z),K(z,x)) = (R(K(x,z),x,y) \ 1) * (T(x,z) * y).
L(R(K(x,y),z,u) \ w,K(x,y),K(y,x)) = (R(K(x,y),z,u) \ 1) * w.
(R(K(x,y),z,u) \ 1) * w = L(R(K(x,y),z,u) \ w,K(x,y),K(y,x)).
((x * (1 / (1 / y))) * R(1 / y,z,u)) / (y * R(y \ 1,z,u)) = R(x,y,R(y \ 1,z,u)).
R(x,y,R(1 / z,u,w)) = R(x,y,R(z \ 1,u,w)).
R(x,y,R(z \ 1,u,w)) = R(x,y,R(1 / z,u,w)).
T(R(x,y,z) * (x / R(x,y,z)),R(x,y,z) \ 1) = R((x \ 1) \ 1,y,z) * (R(x,y,z) \ x).
R(x,y,R((z \ 1) \ 1,u,w)) = R(x,y,R(z,u,w)).
R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1.
K(x,K(y,z)) * K(R(K(y,z),y,u),x) = a(K(x,K(z,y)),y,u).
R(K(x,K(y,z)),u,w) = K(R(K(z,y),u,w),x).
K(R(K(x,y),z,u),w) = R(K(w,K(y,x)),z,u).
K(x,R(K(y,z),u,w) \ 1) = K(R(K(y,z),u,w),x).
K(x,y) * (R(K(y,x),z,u) \ K(y,x)) = R(K(y,x),z,u) \ 1.
(x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1.
R(x,y,z) \ 1 = (x \ 1) * (R(x,y,z) \ x).
((x \ 1) / R(x,y,z)) * x = R(x,y,z) \ 1.
R(x,y,z) \ 1 = ((x \ 1) / R(x,y,z)) * x.
K(x \ 1,x) / R(x,y,z) = R(x,y,z) \ 1.
R(x,y,z) \ 1 = K(x \ 1,x) / R(x,y,z).
K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1.
(R(x,y,z) \ 1) * (K(x,x \ 1) * R(x,u,w)) = R(x,u,w) / R(x,y,z).
R(x,y,z) * (K(x,x \ 1) * u) = ((R(x,y,z) \ 1) \ 1) * u.
R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z).
K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(w,y),z,u),x).
K(R(K(x,y),z,u),w) = K(w,K(R(y \ 1,z,u) \ 1,x)).
K(R(x \ 1,y,z) \ 1,u) = R(K(u,x),y,z) \ 1.
R(K(x,y),z,u) \ 1 = K(R(y \ 1,z,u) \ 1,x).
K(x,(y / (z * y)) \ 1) \ (K(x,z) * u) = K(x,z) * (R(K(x,z),z,y) \ u).
R(K(x,y),y,z) = K(x,(z / (y * z)) \ 1).
K(x,(y / (z * y)) \ 1) = R(K(x,z),z,y).
K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1).
K(x,R(K(y,z),u,w) \ 1) = R(K(x,K(z,y)),u,w).
R(K(x,K(y,z)),u,w) = K(x,R(K(z,y),u,w) \ 1).
K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u).
R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 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).
R(K(x,y),z,u) = K(x,R(1 / y,z,u) \ 1).
R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1).
K(x,R(y,z,u) \ 1) = R(K(x,y \ 1),z,u).
K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u.
K(x,R(y,z,u) \ 1) * (z * u) = ((x \ T(x,y \ 1)) * z) * u.
(x \ T(x,R(y,z,u) \ 1)) * (z * u) = ((x \ T(x,y \ 1)) * z) * u.
(x \ T(x,R(y,z,u) \ 1)) * (z * u) = ((y * ((x * (y \ 1)) / x)) * z) * u.
(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)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z.
(R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * z) * ((u * (((x * y) * z) \ (y * z))) / u).
((x * y) * z) * ((u * (((x * y) * z) \ (y * z))) / u) = (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z).
K((1 / x) * (y * x),x * ((y / (y * x)) * x)) \ (y \ ((1 / x) \ y)) = ((1 / x) * (y * x)) \ (x * y).
T(T(x,L(y \ 1,z,u)),y * (w \ (w / y))) = T(x,L(L(y \ 1,z,u),y,w / y)).
a(x,y,K(z,a(u,w \ 1,w))) = 1.
a(x,y,K(z,a(u,w \ 1,w))) = K(a(u,w \ 1,w),z) * K(z,a(u,w \ 1,w)).
a(x,y,K(z,a(u,w \ 1,w))) = K(a(u,w \ 1,w),z) * K(w * (u \ (u / w)),z).
a(x,y,K(z,a(u,w \ 1,w))) = K(z,a(u,w \ 1,w)) \ K(w * (u \ (u / w)),z).
a(x,y,K(z,a(u,w \ 1,w))) = K(a(u,w \ 1,w) \ 1,z) \ K(w * (u \ (u / w)),z).
a(x,y,K(a(z,u \ 1,u) \ 1,w)) = K(a(z,u \ 1,u) \ 1,w) \ K(u * (z \ (z / u)),w).
K(a(x,y \ 1,y) \ 1,z) \ K(y * (x \ (x / y)),z) = a(u,w,K(a(x,y \ 1,y) \ 1,z)).
a(x,x \ y,a(x,z,u)) * K(a(x,z,u),y) = K(a(x,z,u),x \ y).
K(L(a(x,y,z),u,w),u) = K(a(x,y,z),u).
K(a(x,y,z),L(u,u,w * a(x,y,z))) = K(L(a(x,y,z),u,w),u).
L(x,T(x,a(y,z,u)),w) = L(x,x,w).
L(x,x,y) = L(x,T(x,a(z,u,w)),y).
a(x,y,T(y,a(z,u,w))) \ y = L(y,y,x).
R(L(x,x,y),K(L(x,x,y),a(z,u,w)),v5) = a(y,x,T(x,a(z,u,w))) \ x.
R(L(x,x,y),K(L(x,x,y),a(z,u,w)),v5) = L(T(x,a(z,u,w)),x,y) * K(a(z,u,w),x).
R(L(x,x,y),K(L(x,x,y),a(z,u,w)),v5) = ((L(T(x,a(z,u,w)),x,y) * v5) / v5) * K(a(z,u,w),x).
T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w.
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) * 1)),u) = K(x,y) * (T(z,u) * K(y,x)).
T((1 / K(x,y)) * (z * (K(x,y) * 1)),u) = K(y,x) * (T(z,u) * K(x,y)).
T((1 / (K(x,y) * 1)) * (z * (K(x,y) * 1)),u) = K(y,x) * (T(z,u) * K(x,y)).
T((1 / (K(x,y) * 1)) * (z * (K(x,y) * 1)),u) = K(y,x) * (T(z,u) * (K(x,y) * 1)).
K(x,y) * (T(z,u) * (K(y,x) * 1)) = T((1 / (K(y,x) * 1)) * (z * (K(y,x) * 1)),u).
R(L(x,x,y),K(L(x,x,y),a(z,u,w)),v5) = (L(T(x,a(z,u,w)),x,y) * v5) / (K(x,a(z,u,w)) * v5).
K(x,y) * R(K(x,y) \ z,K(x,y),K(x * y,x)) = R(z,K(x * y,x),K(x,x * y)).
K(x,y) * R(K(x,y) \ z,K(x,y),K(x * y,x)) = (z * K(x * y,x)) * K(x,x * y).
K(x,y) * R(K(x,y) \ z,K(x,y),K(x * y,x)) = (z * K(x * y,x)) * (a(x,y,x) \ K(x,y)).
(T(x,y) * z) \ ((x * z) * K(T(x,z),y)) = a(z,x,K(T(x,z),y)).
a(x,T(y,x),K(T(y,x),z)) = a(x,y,K(T(y,x),z)).
a(x,T(y,x),K(T(y,x),z)) = a(x,y,K((K(x,y) / y) \ 1,z)).
a(x,y,K((K(x,y) / y) \ 1,z)) = a(x,T(y,x),K(T(y,x),z)).
K(((x * y) \ y) \ 1,z) \ K(T(x,y),z) = a(y,T(x,y),K(T(x,y),z)).
a(x,T(y,x),K(T(y,x),z)) = K(((y * x) \ x) \ 1,z) \ K(T(y,x),z).
a(x,T(y,x),K((y \ K(x,y)) \ 1,z)) = K(((y * x) \ x) \ 1,z) \ K(T(y,x),z).
K(((x * y) \ y) \ 1,z) \ K(T(x,y),z) = a(y,T(x,y),K((x \ K(y,x)) \ 1,z)).
a(x,y,K((K(x,y) / y) \ 1,z)) = K(((y * x) \ x) \ 1,z) \ K(T(y,x),z).
K(((x * y) \ y) \ 1,z) \ K(T(x,y),z) = a(y,x,K((K(y,x) / x) \ 1,z)).
K(x \ R(y,L(x,z,u) \ 1,L(x,z,u)),x) = K(y / L(x,z,u),x).
K(x \ R(y,L(x,z,u) \ 1,L(x,z,u)),x) = K(y * (L(x,z,u) \ 1),x).
K(x \ R(y,L(x,z,u) \ 1,L(x,z,u)),x) = K(y * (1 / L(x,z,u)),x).
K(((x * y) \ y) \ 1,z) \ K((K(y,x) / x) \ 1,z) = a(y,x,K((K(y,x) / x) \ 1,z)).
(a(x \ 1,x,y) / z) \ ((1 / z) \ (a(x \ 1,x,y) / z)) = (((1 / z) * ((1 / x) \ y)) / (x * y)) \ a(x \ 1,x,y).
(x / y) \ ((1 / y) \ (x / y)) = ((1 / y) * x) \ x.
R(1 / (K(x \ y,x) / x),x \ 1,y) = (y / x) \ ((1 / x) \ (y / x)).
R(1 / (K(x / y,y) / y),y \ 1,x) = (x / y) \ ((1 / y) \ (x / y)).
R(T(1 / (1 / x),T(y / x,x \ 1)),x \ 1,y) = (y / x) \ ((1 / x) \ (y / x)).
(x \ T(x * y,x)) \ R(y,K(x * y,x),K(x,x * y)) = K(x * y,x) \ 1.
T(R(1 / (1 / x),x \ 1,y),T(y / x,x \ 1)) = (y / x) \ ((1 / x) \ (y / x)).
L(T(x * y,L(K(y,z),y,x)),K(y,z),K(z,y)) = (L(K(y,z),y,x) \ 1) * (x * T(y,z)).
L(L(K(x,y),z,u) \ w,K(x,y),K(y,x)) = (L(K(x,y),z,u) \ 1) * w.
a((x * y) \ 1,x * y,(x \ 1) / y) = K(y \ (x \ 1),x * y).
K(x \ (y \ 1),y * x) = a((y * x) \ 1,y * x,(y \ 1) / x).
a((x * y) \ 1,x * y,L((x \ 1) / y,y,x)) = K(y \ (x \ 1),x * y).
(((x \ 1) * y) \ (z * (x \ y))) / a(x,x \ 1,y) = T(z,(x \ 1) * y).
T(T(x,y \ z),a(y,y \ 1,z) \ 1) = T(x,(y \ 1) * z).
T(T(x,y \ z),a(y,y \ 1,z) \ 1) = T(x,(1 / y) * z).
T(T(x,y \ z),a(y,y \ 1,z) \ 1) = T(x,L(y \ z,y,y \ 1)).
T(x,L(y \ z,y,y \ 1)) = T(T(x,y \ z),a(y,y \ 1,z) \ 1).
x * K(K(a(y,z,u),x),w) = x * K(a(y,z,u),K(x,w)).
T(x,y) * K(y,T(x,a(z,u,w))) = x * K(K(a(z,u,w),x),y).
x * K(K(a(y,z,u),x),w) = T(x,w) * K(w,T(x,a(y,z,u))).
(x / y) * K(K(y,x),y \ T(x,y)) = K(y,x) * ((x / y) / K(y,x)).
K(K(x,y),K(y,x) * (z * y)) = K(K(x,y),z * T(y,x)).
K(K(x,y) \ 1,K(x,y) * (z * x)) = K(K(y,x),z * T(x,y)).
K(K(x,y),z * T(y,x)) = K(K(y,x) \ 1,K(y,x) * (z * y)).
K(K(x,y) \ 1,(z * x) * K(x,y)) = K(K(y,x),z * T(x,y)).
T(x,T(x,y) * ((z * K(y,x)) / x)) = T(x,z).
T(x,R(y,z,T(x,u))) = T(x,y).
T(x,R(y,z,T(x,u))) = K(u,T(x,y)) * T(T(x,u),y).
K(x,T(y,z)) * T(T(y,x),z) = T(y,R(z,u,T(y,x))).
K(x,y) * K(y,L(x,z,u)) = K(a(u,z,x),y).
K(a(x,y,z),u) = K(z,u) * K(u,L(z,y,x)).
K(x,L(y,z,u)) * K(y,x) = K(a(u,z,y),x).
K(a(x,y,z),u) = K(u,L(z,y,x)) * K(z,u).
T(x,y) \ T(x,L(y,z,u)) = K(a(u,z,y),x).
K(x,K(y,z)) * R(K(x,K(z,y)),y,u) = a(K(x,K(z,y)),y,u).
K(K(x,y),z) * R(K(z,K(x,y)),y,u) = a(K(z,K(x,y)),y,u).
a(K(x,K(y,z)),z,u) = K(K(y,z),x) * R(K(x,K(y,z)),z,u).
K(x,K(y,z)) \ R(K(x,K(y,z)),z,u) = a(K(x,K(y,z)),z,u).
a(x,y,z) * L(K(u,z),K(z,u),a(x,y,z)) = K(z,u) \ a(x,y,z).
T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w.
T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x).
R(K(x,y) \ z,K(x,y),K(y,x)) = T(z * K(y,x),K(x,y)).
T(x * K(y,z),K(z,y)) = R(K(z,y) \ x,K(z,y),K(y,z)).
T((K(x,y) * z) * K(y,x),K(x,y)) = R(z,K(x,y),K(y,x)).
((x / y) \ 1) * K(y,x) = (x / T(y,x)) \ 1.
((x / y) \ 1) * K((x / y) \ x,x) = (x / T(y,x)) \ 1.
K(x,y) * (a(z,u,K(y,x)) * w) != v5 * w | L(K(y,x),u,z) \ 1 = v5.
(x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ x)).
K(x,T(y,K(z,x))) = K(x,y).
K(x,y) = K(x,T(y,K(z,x))).
K(x,L(K(x,y),z,K(x,y)) * z) = K(x,z * K(x,y)).
K(x,y * K(x,z)) = K(x,L(K(x,z),y,K(x,z)) * y).
K(x,T(y,K(x,z))) = K(x,y).
K(x,y) = K(x,T(y,K(x,z))).
T(x,K(y,z)) / T(T(x,y),K(y,z)) = K(y,x).
K(x,y) * (K(y,z) * T(y,x)) = T(y,z).
T(x,y) / (K(x,y) * T(x,z)) = K(z,x).
(x * T(y,z)) \ ((x * (K(y,z) * T(y,u))) * K(u,y)) = a(x,K(y,z) * T(y,u),K(u,y)).
a(x,K(y,z) * T(y,u),K(u,y)) = (x * T(y,z)) \ ((x * (K(y,z) * T(y,u))) * K(u,y)).
(K(x,y) * T(x,z)) \ T(x,y) = K(z,x).
(K(x,y) * T(x,z)) * K(z,x) = T(x,y).
(K(x,y) * T(x,z)) * K(z,x) = T(T(x,z) * K(z,x),y).
T(T(x,y) * K(y,x),z) = (K(x,z) * T(x,y)) * K(y,x).
K(R(x,y,z) \ u,z) = K(x \ u,z).
K(x * (x \ (R(x,y,z) \ u)),z) = K(x \ u,z).
K(x * (R(x,y,z) \ u),z) = K(u,z).
K(x * (R(x,y,z) \ u),z) = K(u,T(z,x \ R(x,y,z))).
K(x,T(y,z \ R(z,u,y))) = K(z * (R(z,u,y) \ x),y).
K(T(x,y \ R(y,z,u)),w) = K(x,T(w,y \ R(y,z,u))).
K(x,T(y,z \ R(z,u,w))) = T(K(x,y),z \ R(z,u,w)).
T(K(x,y),z \ R(z,u,w)) = K(x,T(y,z \ R(z,u,w))).
K(T(x,L(y,z,u)),y) = K(x,y).
T(T(x,L(y \ 1,z,u)),L(y \ 1,z,u) \ L(w \ (w / y),z,u)) = T(x,L(L(y \ 1,z,u),y,w / y)).
T(T(x,y \ z),y \ (((y \ z) / z) \ 1)) = T(x,L(y \ z,y,y \ 1)).
T(T(x,L(y \ 1,z,u)),a(w,y,y \ 1) \ 1) = T(x,L(L(y \ 1,z,u),y,w)).
T(T(x,y),y \ L(y,z,u)) = T(x,L(y,z,u)).
K(T(x,a(y,z,u) \ 1),u) = K(T(x,L(u,z,y)),u).
K(T(x,L(y,z,u)),y) = K(T(x,a(u,z,y) \ 1),y).
T(T(x,y),a(z,u,y) \ 1) = T(x,L(y,u,z)).
T(x,L(y,z,u)) = T(T(x,y),a(u,z,y) \ 1).
T(T(x,a(y,z,u) \ 1),u) = T(x,L(u,z,y)).
T(x,L(y,z,u)) * K(y,x) = T(x,a(u,z,y) \ 1).
K(K(x,y) \ (z / x),x) = K(T(x,y) \ z,x).
K(x * (y / T(x,z)),x) = K(K(x,z) \ y,x).
T(x,T(y,K(z,x))) = T(x,y).
T(x,y) = T(x,T(y,K(z,x))).
T(x,T(y,K(x,z))) = T(x,y).
T(x,y) = T(x,T(y,K(x,z))).
K(T(x,K(y,z)),z) = K(x,z).
K(x,y) = K(T(x,K(z,y)),y).
T(x,T(y,K(x,z))) = K(y,x) \ x.
K(x / K(y,z),y) = K(K(y,z) \ x,y).
K(K(x,y) \ z,x) = K(z / K(x,y),x).
K(T(x,K(y,z)),y) = K(x,y).
K(x,y) = K(T(x,K(y,z)),y).
T(x,K(y,z)) \ T(T(x,y),K(y,z)) = K(x,y).
T(x,K(y,z)) * K(x,y) = T(T(x,y),K(y,z)).
T(T(x,y),K(y,z)) = T(x,K(y,z)) * K(x,y).
K(x,K(y,z)) * T(x,y) = T(T(x,y),K(y,z)).
T(T(x,y),K(y,z)) = K(x,K(y,z)) * T(x,y).
K(x / y,K(y,z)) = K(y \ x,K(y,z)).
K(x \ y,K(x,z)) = K(y / x,K(x,z)).
K(T(x,y),K(y,z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(T(x,y),K(y,z)).
K(K(x,y),z / x) = K(K(x,y),x \ z).
K(K(x,y),x \ z) = K(K(x,y),z / x).
K(K(x,y),T(z,x)) = K(K(x,y),z).
K(K(x,y),z) = K(K(x,y),T(z,x)).
T(K(x,y),z) \ K(x,y) = K(T(z,x),K(x,y)).
K(T(x,y),K(y,z)) = T(K(y,z),x) \ K(y,z).
K(x,y) \ T(K(x,y),z) = K(K(x,y),T(z,x)).
K(K(x,y),T(z,x)) = K(x,y) \ T(K(x,y),z).
T(K(x,y),T(z,x)) = T(K(x,y),z).
T(K(x,y),T(z,(x \ 1) \ 1)) = T(K(x,y),z).
R(x,a(y,z,x) \ u,x) = R(x,u,x).
R(x,a(y,z,x) \ u,x) = K(u * x,x) * T(x,u).
K(x,y) = (x / ((x * y) / x)) \ (x / y).
(x / ((x * y) / x)) \ (x / y) = K(x,y).
(x / (y * K(x,y))) \ (x / y) = K(x,y).
(x / (y * K(x,y))) \ (x / y) = K(x * K(y,x),y).
K(x * (y / T(x,z)),x) = K(y / K(x,z),x).
K(x / K(y,z),y) = K(y * (x / T(y,z)),y).
((x * K(y,x)) / y) \ (x / y) = K(x * K(y,x),y).
K(x * K(y,x),y) = ((x * K(y,x)) / y) \ (x / y).
(x / y) * K(K(y,x),T(x,y) / y) = K(y,x) * ((x / y) / K(y,x)).
K(x,y) = (x / y) \ (T(x,y) / y).
(x / y) \ (T(x,y) / y) = K(x,y).
(x / y) * K(x,y) = T(x,y) / y.
((x / y) \ 1) * K(x * ((x / y) \ 1),x) = (x / T(y,x)) \ 1.
x \ T(x * (y / x),x) = (y / x) * K(y,x).
(x \ T(x * y,x)) \ R(y,K(x * y,x),K(x * y,x) \ 1) = K(x * y,x) \ 1.
x \ T(x * y,x) = y * K(x * y,x).
x * K(y * x,y) = y \ T(y * x,y).
T(x * a(y,x,y),y) = x * K(y * x,y).
x * K(y * x,y) = T(x * a(y,x,y),y).
K(x,(y / x) * T(x,z)) = K(x,y * K(x,z)).
K(x / (T(y,z) / y),y) = K(y * (x / T(y,z)),y).
x * (a(y,z,u) * K(x,u)) = T(x * a(y,z,u),u).
T(x * a(y,z,u),u) = x * (a(y,z,u) * K(x,u)).
K(K(x,y) \ 1,(z * u) * K(x,y)) = K(K(y,x),z * (u / K(y,x))).
K((1 / x) * (y * x),x * (y / ((1 / x) * (y * x)))) \ (y \ ((1 / x) \ y)) = ((1 / x) * (y * x)) \ (x * y).
K(x,(y / x) * T(x,z)) = K(x,y * (T(x,z) / x)).
K(x,y * (T(x,z) / x)) = K(x,(y / x) * T(x,z)).
K(x \ y,(x \ y) \ z) = K(x \ y,(z / y) * x).
K(x \ y,(z / y) * x) = K(x \ y,(x \ y) \ z).
K(x,x \ (y * z)) = K(x,y * (z / x)).
K(x,y * (z / x)) = K(x,x \ (y * z)).
K(x,y / L(x,z,u)) = K(x,x \ y).
a(x,T(y,L(x,z,u)),x) / K(x,y) = K(x * T(y,L(x,z,u)),x).
T((x * y) / x,L(x,z,u)) = T(y,L(x,z,u)) * K(x,y).
T(T(x,L(y,z,u)) * K(y,x),y) = T(x,L(y,z,u)).
K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y).
K(x,L(x,y,z) \ u) = K(x,u / L(x,y,z)).
K(x,T(y,L(x,z,u))) = K(x,y).
K(x,y / a(z,u,x)) = K(x,T(y,L(x,u,z))).
K(x,T(y,L(x,z,u))) = K(x,y / a(u,z,x)).
K(x,T(y,R(z,u,T(y,x)))) = K(x,T(y,z)).
K(x * (y * K(x,z)),x) = K(y * T(x,z),x).
K(x * T(y,z),y) = K(y * (x * K(y,z)),y).
T(R(1 / (1 / x),x \ 1,y),T(y / x,1 / x)) = (y / x) \ ((1 / x) \ (y / x)).
K(x / (T(y,z) / y),y) = K((x / T(y,z)) * y,y).
K((x / T(y,z)) * y,y) = K(x / (T(y,z) / y),y).
T((x \ y) / y,T(y,x)) = y \ (x \ y).
T(x / y,T(y,x \ y)) = y \ x.
K(T((x * y) / z,u),y) = K(T(x / (z / y),u),y).
K((x * y) / z,y) = K(x / (z / y),y).
K(T(x,y \ R(y,z,u)),u) = K(y * (R(y,z,u) \ x),u).
K(R(x,y,z),z) = K(x,z).
T(x / y,T(y,(x / y) \ 1)) = y \ x.
T(x,T(y,x \ 1)) = T(x,y).
T(x,y) = T(x,T(y,x \ 1)).
T(K(x,y),T(z,(x \ 1) \ 1)) = K(x * K(z,x \ 1),y).
K(x * K(y,x \ 1),z) = T(K(x,z),T(y,(x \ 1) \ 1)).
T(1 / (1 / x),T(y,x \ 1)) = 1 / (K(y,x) / x).
T(x,T(y,x \ 1)) = K(y,x) \ x.
K(T(x,y \ 1),y) = K(x,y).
K(x,y) = K(T(x,y \ 1),y).
K(x * (y * (x \ 1)),x) = K(y,x).
K(x * (y \ R(y,z,u)),u) = K(x,u).
(x * a(y,z,u)) * K(x,u) = T(x * a(y,z,u),u).
T(x * a(y,z,u),u) = (x * a(y,z,u)) * K(x,u).
K((x * K(y,z)) * y,y) = K(x * T(y,z),y).
K(R(x,y \ 1,y),y) = K(x,y).
K(x * a(y,z,u),u) = K(x,u).
K(x,T(y,R(z,u,T(y,x)))) * T(T(y,x),z) = T(y,R(z,u,T(y,x))).
K(x,T(y,R(z,u,T(y,x)))) = K(x,T(T(y,x),z)).
K(x,T(T(y,x),z)) = K(x,T(y,R(z,u,T(y,x)))).
T(x,R(y,z,x)) = T(x,y).
T(x,y) = T(x,R(y,z,x)).
T(x,R(y,z,x)) = x * K(x,y).
K(x,T(y / (z * x),z)) = K(x,z \ (y / x)).
K(x,R(y,z,x)) = K(x,y).
K(x,y * (z \ R(z,u,x))) = K(x,y).
K(x,y / a(z,u,x)) = K(x,y).
K(x,y) = K(x,y / a(z,u,x)).
K(x,y * a(z,u,x)) = K(x,y).
R(x,a(y,z,x) \ u,x) = K(x * T(u,x),x) * T(x,u).
K(x * T(y,x),x) * T(x,y) = R(x,a(z,u,x) \ y,x).
K(x \ R(y,L(x,z,u) \ 1,L(x,z,u)),x) = K(T(y * (1 / L(x,z,u)),L(x,z,u)),x).
K(T(x * (1 / L(y,z,u)),L(y,z,u)),y) = K(y \ R(x,L(y,z,u) \ 1,L(y,z,u)),y).
K(x,T(y / a(z,u,x),x)) = K(x,T(y,L(x,u,z))).
K(x * T(y,L(x,z,u)),x) = K(y * L(x,z,u),x).
K(L(x,y,z) * u,x) = K(x * u,x).
K(x * y,x) = K(L(x,z,u) * y,x).
K(L(x,y,z) \ u,x) = K(x \ u,x).
K(T(x,a(y,z,u)),u) = K(x * a(y,z,u),u).
K(x * a(y,z,u),u) = K(T(x,a(y,z,u)),u).
K(x,L(x,y,z) \ u) = K(x,x \ u).
K(x,T(y,a(z,u,x))) = K(x,y * a(z,u,x)).
K(x,y * a(z,u,x)) = K(x,T(y,a(z,u,x))).
K(x,a(y,z,x) \ u) = K(x,u).
K(x,y) = K(x,a(z,u,x) \ y).
K(a(x,y,z) * u,z) = K(u,z).
K(x,y) * z != a(a(u,w,v5),v6,T(v5,v7)) | z = K(y,x).
K(x,a(y,z,x) * u) = K(x,u).
K(x,y) = K(x,a(z,u,x) * y).
x * K(y,z) != a(a(u,w,v5),v6,T(v5,v7)) | x = K(z,y).
L(x,K(x,y),K(z,x)) = x.
x = L(x,K(x,y),K(z,x)).
(K(x,y) * K(z,x)) \ (K(z,x) * T(x,y)) = x.
(K(x,y) * K(z,x)) * x = K(z,x) * T(x,y).
(T(x,y) / z) * T(z,x) = (K(x,y) * K(z,x)) * x.
(K(x,y) * K(z,x)) * x = (T(x,y) / z) * T(z,x).
(T(x,y) * T(z,x)) / z = (K(x,y) * K(z,x)) * x.
(x * (y * K(T(y,x),z))) / x = (K(y,z) * K(x,y)) * y.
(x * (K(T(y,x),z) * y)) / x = (K(y,z) * K(x,y)) * y.
R(x,K(x,y),K(z,x)) = x.
x = R(x,K(x,y),K(z,x)).
x \ (K(y,x) * K(x,z)) = T(x,y) \ K(x,z).
K(x,y) * K(a(z,u,x) * y,x) = a(a(z,u,x),y,T(x,y)).
K(x,y * a(z,u,y)) * K(y,x) = K(x,a(z,u,y)).
x * T(y,z) != T(y,z * a(u,w,z)) | x = K(y,a(u,w,z)).
x \ (K(y,x) * T(x,z)) = K(x,z) * K(y,x).
(T(x,y) * K(z,x)) / (K(x,y) * K(z,x)) = x.
T(x,y) / T(x,z) = K(x,y) * K(z,x).
(K(x,y) * K(z,x)) * T(x,z) = T(x,y).
x \ (K(x,y) * K(z,x)) = T(x,z) \ K(x,y).
T(x,y) \ T(x,z) = K(x,z) * K(y,x).
K(x,y) * K(z,x) = T(x,z) \ T(x,y).
T(x,y) * (T(x,z) \ 1) = K(x,y) * K(z,x).
(K(x,y) * x) * (T(x,z) \ 1) = K(x,y) * K(z,x).
K(a(x,y,z),L(u,T(u,a(x,y,z)),w * a(x,y,z))) = K(L(a(x,y,z),u,w),u).
L(K(a(x,y,z),u),w,v5) = K(a(x,y,z),L(u,w,v5)).
T(T(x,a(y,z,u)),L(u,w,v5)) \ T(x,L(u,w,v5)) = K(a(y,z,u),x).
T(x,a(y,z,u)) * K(a(y,z,u),T(x,w)) = x * K(K(a(y,z,u),x),w).
K(a(x,y,z),T(u,w)) = T(K(a(x,y,z),u),w).
K(a(x,y,z),T(u,x \ z)) = K(a(x,y,z),u).
K(a(x,y,z),u) = K(a(x,y,z),T(u,x \ z)).
K(a(x,y,z),T(u,L(z,w,v5))) = K(a(x,y,z),u).
K(a(x,y,z),u) = K(a(x,y,z),T(u,L(z,w,v5))).
K(a(x,y,T(z,u)),w) = K(a(x,y,z),T(w,u)).
K(a(x,y,z),T(u,w)) = K(a(x,y,T(z,w)),u).
K(x \ 1,a(y,z,T(u,w))) = K(a(y,z,u),T(x,w)).
K(x \ 1,T(a(y,z,u),w)) = K(a(y,z,u),T(x,w)).
K(L(x,y,z),a(u,w,v5)) \ 1 = L(K(a(u,w,v5),x),y,z).
T(x,y) * K(y,T(x,a(z,u,w))) = x * K(a(z,u,w),K(x,y)).
K(x,T(y,a(z,u,w))) = T(K(x,y),a(z,u,w)).
K(x,T(y,a(z,u,x))) = K(x,y).
K(x,y) = K(x,T(y,a(z,u,x))).
K(T(x,a(y,z,u)),w) = K(x,T(w,a(y,z,u))).
K(T(x,a(y,z,u)),w) \ 1 = K(T(w,a(y,z,u)),x).
K(T(x,y) \ 1,a(z,u,w)) = K(x \ 1,T(a(z,u,w),y)).
K(x,T(a(y,z,u),w)) = T(K(x,a(y,z,u)),w).
T(K(x,a(y,z,u)),w) = K(x,T(a(y,z,u),w)).
L(K(x,a(y,z,u)),w,v5) \ 1 = L(K(a(y,z,u),x),w,v5).
K(K(x,y) \ 1,z * K(x,y)) = K(K(y,x),K(y,x) \ z).
K(K(x,y),K(x,y) \ z) = K(K(y,x) \ 1,z * K(y,x)).
x * K(K(y,z),x * K(z,y)) = K(y,z) * (x / K(y,z)).
((K(x,y) \ z) \ z) * K(y,x) = K(K(x,y),K(y,x) * z).
T(K(x,y),K(y,x) * z) = (K(x,y) \ z) \ z.
(x * (y * K(z,u))) \ (x * R(y,K(z,u),K(u,z))) = L(K(u,z),y * K(z,u),x).
L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * R(z,K(y,x),K(x,y))).
(x * K(y,z)) * K(z,y) = R(x,K(y,z),K(z,y)).
R(x,K(y,z),K(z,y)) = (x * K(y,z)) * K(z,y).
a((x * y) \ 1,x * y,L((x \ 1) / y,y,x)) = K((x * y) \ 1,x * y).
(K(x,y) * (R(K(y,x),z,u) \ K(y,x))) * w = L(R(K(y,x),z,u) \ w,K(y,x),K(x,y)).
K(x,y) * (a(z,u,K(x,y)) * (K(y,x) * w)) = a(z,u,K(x,y)) * L(w,K(y,x),K(x,y)).
a(x,y,K(z,u)) * L(w,K(u,z),K(z,u)) = K(z,u) * (a(x,y,K(z,u)) * (K(u,z) * w)).
L(L(K(x,y),z,u) \ w,K(x,y),K(y,x)) = K(y,x) * (a(u,z,K(x,y)) * w).
K(x,y) * (a(z,u,K(y,x)) * w) = L(L(K(y,x),u,z) \ w,K(y,x),K(x,y)).
K(x,y) \ L(z,K(y,x),K(x,y)) != K(y,x) * u | u = z.
L(T(x,K(y,z)),K(y,z),K(z,y)) = K(z,y) * (x * K(y,z)).
K(x,y) * (z * K(y,x)) = L(T(z,K(y,x)),K(y,x),K(x,y)).
L(K(x,y) \ z,K(x,y),K(y,x)) = K(y,x) * z.
K(x,y) * z = L(K(y,x) \ z,K(y,x),K(x,y)).
T(x,y) * T(K(y,x),z) = x * K(z,K(x,y)).
T(x,y) * K(z,K(y,x)) = x * T(K(x,y),z).
K(x,K(y,z)) \ R(T(K(x,K(y,z)),z),z,u) = a(K(x,K(y,z)),z,u).
a(K(x,K(y,z)),z,u) = K(x,K(y,z)) \ R(T(K(x,K(y,z)),z),z,u).
x * K(y,K(K(y,z),u)) != w | x = w.
K(x,K(K(x,y),z)) = 1.
T(x,K(K(x,y),z)) = x.
T(K(x,K(y,z)),z) = K(x,K(y,z)).
T(x,K(y,K(z,x))) = x.
x = T(x,K(y,K(z,x))).
x * K(y,z) != K(y,z) * u | x = T(u,K(z,y)).
K(K(x,y),z) * y = y * K(K(x,y),z).
x * K(K(y,x),z) = K(K(y,x),z) * x.
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
T(T(x,K(y,z)),K(z,y)) = x.
K(K(x,y),z * y) = K(y * z,K(y,x)).
x * K(K(y,z),x) = T(x,K(z,y)).
T(x,K(y,z)) = x * K(K(z,y),x).
K(K(x,y),z) = K(z,K(y,x)).
K(x,K(y,z)) = K(K(z,y),x).
T(K(x,y),a(z,u,w)) \ 1 = K(T(y,a(z,u,w)),x).
K(T(x,a(y,z,u)),w) = T(K(w,x),a(y,z,u)) \ 1.
K(T(a(x,y,z),u),w) \ 1 = T(K(w,a(x,y,z)),u).
K(x,y) * T(K(y,x),z) = K(z,K(x,y)).
K(x,K(y,z)) = K(y,z) * T(K(z,y),x).
T(K(x,y),z) \ 1 = T(K(y,x),z).
L(K(x,y),K(y,x),z) \ z = T(z * K(y,x),K(x,y)).
T(x * K(y,z),K(z,y)) = L(K(z,y),K(y,z),x) \ x.
L(K(x,y),K(y,x),a(z,u,y)) = (K(y,x) * a(z,u,y)) \ a(z,u,y).
R(K(x,y),K(y,x),1) * (T(z,u) * (K(y,x) * 1)) = T((1 / (K(y,x) * 1)) * (z * (K(y,x) * 1)),u).
T((1 / (K(x,y) * 1)) * (z * (K(x,y) * 1)),u) = R(K(y,x),K(x,y),1) * (T(z,u) * (K(x,y) * 1)).
a(x,y,K(z,u)) * K(u * z,z) = L(K(z,u),y,x) \ a(z,u,z).
L(K(x,y),z,u) \ a(x,y,x) = a(u,z,K(x,y)) * K(y * x,x).
K(x,y) * K(y * x,x) = a(x,y,x).
K(x,y) * R(K(x,y) \ z,K(x,y),K(x * y,x)) = ((z * K(x * y,x)) / a(x,y,x)) * K(x,y).
((x * K(y * z,y)) / a(y,z,y)) * K(y,z) = K(y,z) * R(K(y,z) \ x,K(y,z),K(y * z,y)).
K(x,y) * K(x * y,x) = a(x,y,x).
a(x,y,x) / K(x,y) = K(x * y,x).
K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1.
L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1).
K(x,y) * K(z,K(y,x)) = T(K(y,x),z) \ 1.
L(K(x,y),K(y,z),K(z,y)) / (K(x,y) * K(y,z)) = K(z,y).
a(x,y,K(z,u)) * (K(u,z) * w) = (L(K(z,u),y,x) \ 1) * w.
K(x,y) * (a(z,u,K(y,x)) * w) = (L(K(y,x),u,z) \ 1) * w.
L(K(x,y),T(y,x),z) * (z * T(y,x)) = z * (y * K(K(x,y),z * T(y,x))).
(x / y) * T(K(y \ x,y),z) = (y \ x) * K(K(y \ x,y),z).
(x \ y) * K(K(x \ y,x),z) = (y / x) * T(K(x \ y,x),z).
T(T(x,y) * (K(x,y) \ 1),z) = (K(x,z) * T(x,y)) * K(y,x).
(K(x,y) * T(x,z)) * K(z,x) = T(T(x,z) * (K(x,z) \ 1),y).
K(K(x,y),K(x,y) \ z) = K(K(x,y),z * K(y,x)).
K(K(x,y),z * K(y,x)) = K(K(x,y),K(x,y) \ z).
R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y).
T(x,y) * T(K(y,x),z) = x * K(K(y,x),z).
T(x,y) * K(K(x,y),z) = x * T(K(x,y),z).
((x * K(y,z)) \ T(x,K(z,y))) * x = x * ((x * K(y,z)) \ x).
T(K(x,y),K(y,x) * z) = ((K(y,x) \ 1) \ z) \ z.
x * K(K(x,y) \ 1,z) = K(K(y,x),z) * x.
K(K(x,y),z) * y = y * K(K(y,x) \ 1,z).
T(K(x,y),z) * K(y,x) = K(K(x,y),z).
K(K(x,y),z) = T(K(x,y),z) * K(y,x).
K(x,y) * L(K(y,x),z,u) = a(u,z,K(y,x)) \ 1.
(x / K(y,z)) * K(K(z,y),u) = x * T(x \ (x / K(y,z)),u).
K(x,T(1 / y,z) \ 1) = T(K(y,x),z) \ 1.
T(K(x,y),z) \ 1 = K(y,T(1 / x,z) \ 1).
T((K(x,y) * z) * (K(x,y) \ 1),u) = (K(x,y) * T(z,u)) * K(y,x).
T((K(x,y) * z) * K(y,x),K(x,y)) = R(z,K(x,y),K(x,y) \ 1).
x / L(K(y,z),K(z,y),x) = x * K(z,y).
L(K(x,y),K(y,x),z) = (z * K(y,x)) \ z.
T(1 / K(x,y),z \ R(z,u,w)) = K(y,T(x,z \ R(z,u,w))).
K(x,T(y,z \ R(z,u,w))) = T(1 / K(y,x),z \ R(z,u,w)).
a(x \ 1,x,(y * (x \ 1)) / y) = K(x \ 1,x).
K(x,y) * (K(y,x) * z) = L(z,K(y,x),K(x,y)).
K(x,y) \ R(K(x,y),z,u) = K(y,x) * R(K(x,y),z,u).
K(x,y) * R(K(y,x),z,u) = K(y,x) \ R(K(y,x),z,u).
K(x,y) * T(K(y,x),z) = K(K(y,x),z).
K(K(x,y),z) = K(y,x) * T(K(x,y),z).
R(K(x,y),K(y,x),z) = z / (K(y,x) * z).
a(a(x,y,z),u,T(z,w)) = K(v5,v6) * K(v6,v5).
K(x,y) \ 1 = K(y,x).
1 / K(x,y) = K(y,x).
K(x * y,x) * K(x,y) = a(x,y,x).
K(x,y) * K(y,x) = 1.
(K(x,y) * x) * (T(x,z) \ 1) = K(x,y) * (x * (T(x,z) \ 1)).
K(x,y) * (x * (T(x,z) \ 1)) = (K(x,y) * x) * (T(x,z) \ 1).
(K(x,y) / y) * T(y,z) = K(x,y) * K(y,z).
K(x,y) * K(y,z) = (K(x,y) / y) * T(y,z).
R(K(x,y),x,T(x,z) \ 1) = K(x,y).
L(K(x,y),x,x \ K(z,x)) = K(x,y).
L(K(x,y),x,x \ K(z,x)) = K(T(x,x \ 1),y).
L(K(x,y),x,x \ K(z,x)) = K((K(z,x) \ (x \ K(z,x))) \ 1,y).
K((K(x,y) \ (y \ K(x,y))) \ 1,z) = L(K(y,z),y,y \ K(x,y)).
L(K(x,y),T(x,x \ 1),x \ K(z,x)) = K((K(z,x) \ (x \ K(z,x))) \ 1,y).
R(x,y,K(y,z)) \ x = a(x,y,K(y,z)) \ 1.
a((x * y) / x,x,K(x,z)) = a(y,x,K(x,z)).
a(x * y,K(x,z),x) = a(y,x,K(x,z)).
a(x,y,K(y,z)) = a(y * x,K(y,z),y).
a(x \ y,x,K(x,z)) = a(y,K(x,z),x).
a(x \ y,x,K((x \ 1) \ 1,z)) = a(y,K(x,z),x).
a(x \ y,x,K((x \ 1) \ 1,z)) = K((y \ (y / x)) \ 1,z) \ K(x,z).
K((x \ (x / y)) \ 1,z) \ K(y,z) = a(x,K(y,z),y).
a(x / y,y,K(y,z)) = K((x \ (x / y)) \ 1,z) \ K(y,z).
a(x / y,y,K((y \ 1) \ 1,z)) = K((x \ (x / y)) \ 1,z) \ K(y,z).
L(K(a(x,y,z),u),T(u,a(x,y,z)),w * a(x,y,z)) = K(L(a(x,y,z),u,w),u).
a(x,x \ y,a(x,z,u)) * K(a(x,z,u),y) = K(L(a(x,z,u),x \ y,x),x \ y).
K(L(a(x,y,z),x \ u,x),x \ u) = a(x,x \ u,a(x,y,z)) * K(a(x,y,z),u).
L(K(a(x,y,z),u),w * a(x,y,z),v5) = K(L(a(x,y,z),w,v5),u).
x \ R(x,y,K(y \ 1,z)) = a(x,y,K(y \ 1,z)).
a(x,y,K(y \ 1,z)) = x \ R(x,y,K(y \ 1,z)).
a(x * K(y,x),y,K(y \ 1,z)) = a(x,y,K(y \ 1,z)).
L(K(a(x,y \ 1,y),z),u,w) = K(((x \ (x / y)) * y) \ 1,z).
L(K(a(x,y \ 1,y) * 1,z),u,w) = K(((x \ (x / y)) * y) \ 1,z).
K((x \ 1) \ (a(x,x \ 1,y) \ z),a(x,x \ 1,y)) = K(z,a(x,x \ 1,y)).
K((x * y) \ z,a(u,w,y)) = K(x \ z,a(u,w,y)).
K(x \ y,a(z,u,w)) = K((x * w) \ y,a(z,u,w)).
K(x * ((y * x) \ z),a(u,w,x)) = K(y \ z,a(u,w,x)).
K(x * ((y * x) \ z),a(u,w,x)) = K((y \ z) / x,a(u,w,x)).
K((x \ y) / z,a(u,w,z)) = K(z * ((x * z) \ y),a(u,w,z)).
K(L(x,y,z),a(u,w,y)) = K(x,a(u,w,y)).
K(x,a(y,z,u)) = K(L(x,u,w),a(y,z,u)).
K(a(x,y,z),L(u,u,w)) = K(a(x,y,z),u).
R(L(x,x,y),K(L(x,x,y),a(z,u,w)),v5) = (T(L(x,x,y),a(z,u,w)) * v5) / (K(x,a(z,u,w)) * v5).
(T(L(x,x,y),a(z,u,w)) * v5) / (K(x,a(z,u,w)) * v5) = R(L(x,x,y),K(L(x,x,y),a(z,u,w)),v5).
x * K(a(y,z,u),L(w,w,v5)) = x / K(w,a(y,z,u)).
x / K(y,a(z,u,w)) = x * K(a(z,u,w),L(y,y,v5)).
K(L(x,x,y),a(z,u,w)) = K(x,a(z,u,w)).
K(L(x,x,y),a(z,u,w)) = K(a(z,u,w),(y * x) \ y).
(x * y) * K(L(z,y,x),a(u,w,v5)) = x * (y * K(z,a(u,w,v5))).
L(K(x,a(y,z,u)),w,v5) = K(L(x,w,v5),a(y,z,u)).
K(a(x,y,z),L(u,w,v5) \ 1) = L(K(u,a(x,y,z)),w,v5).
L(K(x,a(y,z,u)),w,v5) = K(a(y,z,u),L(x,w,v5) \ 1).
K(a(x,y,z),L(u \ 1,w,v5) \ 1) = L(K(a(x,y,z),u),w,v5).
L(K(a(x,y,z),u),w,v5) = K(a(x,y,z),L(u \ 1,w,v5) \ 1).
L(K(a(x,y,z),u \ 1),w,v5) = K(a(x,y,z),L(u,w,v5) \ 1).
a(a(x,y,z),u,K(z \ 1,w)) = 1.
a(a(x,y,z),u,K(z \ 1,w)) = K(z \ 1,w) \ K(z \ 1,w).
K(x \ 1,y) \ K(x \ 1,y) = a(a(z,u,x),w,K(x \ 1,y)).
a(x * K(y,x),y,K(y \ 1,z)) = K(L(y,y,x) \ 1,z) \ K(y \ 1,z).
K(L(x,x,y) \ 1,z) \ K(x \ 1,z) = a(y * K(x,y),x,K(x \ 1,z)).
K(1 / ((x * y) \ y),z) \ K((K(y,x) / x) \ 1,z) = a(y,x,K((K(y,x) / x) \ 1,z)).
K(L(a(x,y \ 1,y),z,u) \ 1,w) \ K(y * (x \ (x / y)),w) = a(u,z,K(a(x,y \ 1,y) \ 1,w)).
K(((x * y) \ y) \ 1,z) \ K((x \ K(y,x)) \ 1,z) = a(y,T(x,y),K((x \ K(y,x)) \ 1,z)).
a(x \ y,x,K((x \ 1) \ 1,z)) = K((y \ (y / x)) \ 1,z) \ K((x \ 1) \ 1,z).
K((x \ (x / y)) \ 1,z) \ K((y \ 1) \ 1,z) = a(y \ x,y,K((y \ 1) \ 1,z)).
a(K(L(x,y,z) \ 1,u),K(L(x,y,z) \ 1,u) \ 1,K(x \ 1,u)) = K(L(x,y,z) \ 1,u) * (a(z,y,K(x \ 1,u)) / K(x \ 1,u)).
K(L(x,y,z) \ 1,u) * (a(z,y,K(x \ 1,u)) / K(x \ 1,u)) = a(K(L(x,y,z) \ 1,u),K(L(x,y,z) \ 1,u) \ 1,K(x \ 1,u)).
a(x / y,y / x,K(x \ 1,z)) = K(((1 / (y / x)) * y) \ 1,z) \ K(x \ 1,z).
K(((1 / (x / y)) * x) \ 1,z) \ K(y \ 1,z) = a(y / x,x / y,K(y \ 1,z)).
a(K(L(x,y,z) \ 1,u),K(L(x,y,z) \ 1,u) \ 1,K(x \ 1,u)) * ((K(L(x,y,z) \ 1,u) \ 1) * K(x \ 1,u)) = a(z,y,K(x \ 1,u)).
a((x / y) \ 1,x / y,K(y \ 1,z)) = K(((1 / (x / y)) * x) \ 1,z) \ K(y \ 1,z).
K(((1 / (x / y)) * x) \ 1,z) \ K(y \ 1,z) = a((x / y) \ 1,x / y,K(y \ 1,z)).
a(x / y,y,K((y \ 1) \ 1,z)) = K((x \ (x / y)) \ 1,z) \ K((y \ 1) \ 1,z).
K((x \ (x / y)) \ 1,z) \ K((y \ 1) \ 1,z) = a(x / y,y,K((y \ 1) \ 1,z)).
(K(x,x * y) / L(x,y,x)) * R(((x * y) * L(x,y,x)) / (x * y),z,u) = ((x * y) * R(L(x,y,x),z,u)) / ((x * y) * L(x,y,x)).
K(L(x,y,x),x * y) = K(x,x * y).
K((x * y) / x,y * x) = K(y,y * x).
K(x * K(y,x),x * y) = K(x,x * y).
K(x,x * y) = K(x * K(y,x),x * y).
(x * K(y,x)) \ L(x,y,x) = K(x,x * y).
(x * K(y,x)) \ (T(x,z) * K(y,x)) = K(x,z).
L(K(x,y),x,K(z,x)) = K(x,y).
L(K(x,y),x,K(z,x)) = K((x \ 1) \ 1,y).
K((x \ 1) \ 1,y) = L(K(x,y),x,K(z,x)).
(x * K(y,x)) \ (T(x,z) * K(y,x)) = L(K(x,z),x,K(y,x)).
L(K(x,y),x,K(z,x)) = (x * K(z,x)) \ (T(x,y) * K(z,x)).
x * L(K(y,z),y,y \ x) = (x / y) * T(y,z).
(x / y) * T(y,z) = x * L(K(y,z),y,y \ x).
L(K(x,y),x,x \ z) = z \ ((z / x) * T(x,y)).
L(K(x,a(y,z,u)),x,w) = K(a(y,z,u),(w * x) \ w).
L(K(T(x,x \ 1),y),T(x,x \ 1),x \ K(z,x)) = K((K(z,x) \ (x \ K(z,x))) \ 1,y).
K(((x * K(y,x)) \ K(y,x)) \ 1,z) = L(K(x,z),x,K(y,x)).
L(K(x,y),x,K(z,x)) = K(((x * K(z,x)) \ K(z,x)) \ 1,y).
K(((x * y) \ x) \ 1,z) * (K(y,z) \ u) = a(x,y,K(y,z)) \ u.
L(K(x \ y,z),x \ y,x) = K((y \ x) \ 1,z).
T(x,L(y \ 1,z,u) \ 1) = (L(K(y,x),z,u) / x) \ 1.
L(K(a(x,y,z),u),w * a(x,y,z),v5) = K((L(a(x,y,z),w,v5) \ 1) \ 1,u).
K((L(a(x,y,z),u,w) \ 1) \ 1,v5) = L(K(a(x,y,z),v5),u * a(x,y,z),w).
L(K(x,y),x,x \ z) = K((z \ (z / x)) \ 1,y).
K((x \ (x / y)) \ 1,z) = L(K(y,z),y,y \ x).
L(K(x,y),x,z) = K(((z * x) \ z) \ 1,y).
K(((x * y) \ x) \ 1,z) = L(K(y,z),y,x).
K(L(x,y,z) \ 1,a(u,w,v5) \ 1) = L(K(a(u,w,v5),x \ 1),y,z).
L(K(a(x,y,z),u \ 1),w,v5) = K(L(u,w,v5) \ 1,a(x,y,z) \ 1).
K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z).
L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y).
L(K(((x \ (x / y)) * y) \ 1,z),u,w) = K(((x \ (x / y)) * y) \ 1,z).
K(L(x,y,z) \ 1,u) \ K(x \ 1,u) = a(z,y,K(x \ 1,u)).
a(x,y,K(z \ 1,u)) = K(L(z,y,x) \ 1,u) \ K(z \ 1,u).
L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y).
L(x,y,z) * T(L(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z).
L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z).
L(x * T(x \ 1,y),z,u) = L(x,z,u) * T(L(x,z,u) \ 1,y).
(x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))).
(x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * ((y * z) * T((y * z) \ y,u)).
(x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)).
(x * (y / (x * y))) \ ((y * x) / y) = 1 / (y / (y * x)).
(x * K(y,x)) * (y / (y * x)) = x * (y / (x * y)).
(x * K(y,x)) * (y / (y * x)) = y / ((x \ 1) * (x * y)).
x / ((y \ 1) * (y * x)) = (y * K(x,y)) * (x / (x * y)).
(((x * y) / x) \ 1) * (x * y) = (y \ 1) * (y * x).
(x \ K(x,y)) * (y * x) = (x \ 1) * (x * y).
((x * y) * (x \ 1)) * K(x \ 1,y * x) = (x \ K(x,y)) * (y * x).
((x * y) * (x \ 1)) * K(x \ K(x,y),y * x) = (x \ K(x,y)) * (y * x).
(x * y) * (y \ K(y,x)) = (y * x) * (y \ 1).
x / (y * ((y * x) \ x)) = (x * y) * (y \ K(y,x)).
(x * K(y,x)) * ((y * x) \ y) = x * ((x * y) \ y).
(x * K(y,x)) * ((y * x) \ y) = a(y,x,x \ 1) \ K(y,x).
a(T(x,y),y,y \ K(y,x)) \ K(x,y) = (y * K(x,y)) * ((x * y) \ x).
a(T(x,y),y,y \ K(y,x)) \ z = a(x,y,y \ 1) \ z.
a(T(x,y),y,y \ K(y,x)) \ z = (y * ((x * y) \ x)) * z.
(x * ((y * x) \ y)) * z = a(T(y,x),x,x \ K(x,y)) \ z.
a(T(x,y),y,y \ K(y,x)) \ K(x,y * K(x,y)) = (y * K(x,y)) * ((x * y) \ x).
((x * K(y,x)) * ((T(y,x) * x) \ y)) * z = a(T(y,x),x,x \ K(x,y)) \ z.
a(x,y * K(x,y),y \ K(y,x)) = a(T(x,y),y,y \ K(y,x)).
x \ ((T(x,y) * y) * (y \ K(y,x))) = a(x,y * K(x,y),y \ K(y,x)).
x \ R(x,y * K(z,y),y \ K(y,z)) = a(x,y * K(z,y),y \ K(y,z)).
x \ R(x,y * K(z,y),K(z,y) \ (y \ 1)) = a(x,y * K(z,y),y \ K(y,z)).
x \ R(x,y * z,z \ (y \ 1)) = a(x,y * z,(y * z) \ 1).
R(x,y,(z * u) \ 1) = R(x,y,u \ (z \ 1)).
R(x,y,(z * u) \ 1) = R(x,y,u \ (1 / z)).
R(x,y,z \ (1 / u)) = R(x,y,(u * z) \ 1).
R(x,y,(z * ((1 / u) \ w)) \ z) = R(x,y,(u * w) \ 1).
R(x,y,(z * u) \ 1) = R(x,y,(w * ((1 / z) \ u)) \ w).
R(x,y,((z * ((1 / u) \ w)) \ z) * a(u \ 1,u,w)) = R(x,y,(u * w) \ 1).
R(x,y,K(z,u) \ 1) = R(x,y,K(u,z)).
R(x,y,K(z,u)) = R(x,y,K(u,z) \ 1).
R(x,y,(z * ((1 / u) \ w)) \ (z * a(u \ 1,u,w))) = R(x,y,(u * w) \ 1).
R(x,y,z \ (z / u)) = R(x,y,u \ 1).
R(x,y,z \ 1) = R(x,y,u \ (u / z)).
R(x,y,(z * u) \ (u * z)) = R(x,y,K(z,u) \ 1).
R(x,y,K(z,u) \ 1) = R(x,y,(z * u) \ (u * z)).
R(x,y,(z \ u) \ 1) = R(x,y,u \ z).
R(x,y,z \ u) = R(x,y,(u \ z) \ 1).
R(x,y,z * ((u \ w) * (w \ u))) = R(x,y,z).
R(R(x,y,z),y * z,(u \ w) * (w \ u)) = R(x,y,z * ((u \ w) * (w \ u))).
R(x,y,z * ((u \ w) * (w \ u))) = R(R(x,y,z),y * z,(u \ w) * (w \ u)).
a(((1 / (1 / x)) * y) \ z,u,w) = a((x * y) \ z,u,w).
a(x * K(y,y \ 1),z,u) = a(x,z,u).
a(x * K(y \ 1,y),z,u) = a(x,z,u).
a(x * K(y \ 1,y),z,u) = a(x,K(y \ 1,y) * z,u).
a(x,K(y \ 1,y) * z,u) = a(x * K(y \ 1,y),z,u).
a(x,K(y \ 1,y) * z,L(u,z,K(y \ 1,y))) = a(x * K(y \ 1,y),z,u).
a(x * K(y \ 1,y),z,u) = a(x,K(y \ 1,y) * z,L(u,z,K(y \ 1,y))).
(x * (K(y \ 1,y) * (z * u))) \ ((x * (K(y \ 1,y) * z)) * u) = a(x * K(y \ 1,y),z,u).
((x / (x * y)) \ (y \ K(y,x))) * ((x * y) / x) = 1 / (x / (x * y)).
((x * K(y,x)) * (y / (y * x))) \ z = ((y / (y * x)) \ (x \ K(x,y))) * z.
((x / (x * y)) \ (y \ K(y,x))) * z = ((y * K(x,y)) * (x / (x * y))) \ z.
((x * y) \ ((1 / (y / (y * x))) * ((x * y) / x))) * z = ((x * K(y,x)) * (y / (y * x))) \ z.
((x * K(y,x)) * (y / (y * x))) \ z = ((x * y) \ ((1 / (y / (y * x))) * ((x * y) / x))) * z.
((x * K(y,x)) * (((x * y) / x) / (x * y))) \ z = ((x * y) \ ((1 / (y / (y * x))) * ((x * y) / x))) * z.
(x * y) \ (((x * y) * ((x * (y * z)) / z)) / (x * y)) = ((x * (y * z)) / z) / (x * y).
((x * y) / x) / T(y,z) = K(x,y) * K(z,y).
(((x * y) / x) / T(y,z)) * 1 = K(x,y) * K(z,y).
K(K(x,y) * K(z,y),T(y,z)) = 1.
K(K(x,y) * K(z,y),T(y,z)) = (1 / T(y,z)) * T(y,z).
(1 / T(x,y)) * T(x,y) = K(K(z,x) * K(y,x),T(x,y)).
((K(x,y) * K(z,y)) / ((x * y) / x)) * T(y,z) = K(K(x,y) * K(z,y),T(y,z)).
((K(x,y) * K(z,y)) / ((x * y) / x)) * T(y,z) = K(T(y,z) \ ((x * y) / x),T(y,z)).
T(x,y) \ (((z * x) / z) / (((z * x) / z) / T(x,y))) = ((K(z,x) * K(y,x)) / ((z * x) / z)) * T(x,y).
((x * y) * z) \ ((R(x,y,z) * y) * u) = L(L(z,y,x) \ u,z,x * y).
(R(x,y,z) * (y * z)) \ ((R(x,y,z) * y) * u) = L(L(z,y,x) \ u,z,x * y).
K((x / y) * z,a(u,w,((x / y) * (y / x)) * z)) = K(a(u,w,((x / y) * (y / x)) * z),y / x).
K((x / y) \ 1,a(z,u,((y / x) * (x / y)) * w)) = K((y / x) * w,a(z,u,((y / x) * (x / y)) * w)).
K((x / y) * z,a(u,w,((x / y) * (y / x)) * z)) = K((y / x) \ 1,a(u,w,((x / y) * (y / x)) * z)).
(x \ K(y,y \ x)) / ((((y \ x) * y) \ 1) / K(y,y \ x)) = ((x \ 1) * K(y,y \ x)) / (x \ 1).
((x \ 1) * K(y,y \ x)) / (x \ 1) = (x \ K(y,y \ x)) / ((((y \ x) * y) \ 1) / K(y,y \ x)).
(K(x,y) * K(z,y)) / ((x * y) / x) = 1 / T(y,z).
1 / T(x,y) = (K(z,x) * K(y,x)) / ((z * x) / z).
R(1 / T(x,y),T(x,y),K(z,x) * K(y,x)) = 1 / T(x,y).
R(1 / T(x,y),T(x,y),K(z,x) * K(y,x)) = T(x,y) \ K(x,x \ 1).
T(x,y) \ K(x,x \ 1) = R(1 / T(x,y),T(x,y),K(z,x) * K(y,x)).
a(T(x,y),T(x,y) \ 1,(z * x) / z) = K(x,x \ 1).
a(T(x,y),T(x,y) \ 1,z * (x / z)) = K(x,x \ 1).
K(x,x \ 1) = a(T(x,y),T(x,y) \ 1,z * (x / z)).
R(1 / T(x,y),T(x,y),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) / ((z * x) / z).
(((x * y) / x) / T(y,z)) * K(K(x,y) * K(z,y),T(y,z)) = K(x,y) * K(z,y).
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) = ((z * x) / z) * a(T(x,u),T(x,u) \ 1,z * (x / z)).
((x * y) / x) * a(T(y,z),T(y,z) \ 1,x * (y / x)) = (T(y,u) \ 1) \ (K(x,y) * K(u,y)).
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) = (z * x) / (z / a(T(x,u),T(x,u) \ 1,x)).
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) = (z * x) / (z / K(x,x \ 1)).
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) = (z * x) / (z * K(x \ 1,x)).
(x * y) / (x * K(y \ 1,y)) = (T(y,z) \ 1) \ (K(x,y) * K(z,y)).
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) != ((z * x) / z) * u | K(x,x \ 1) = u.
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) = ((z * x) / z) * K(x,x \ 1).
((x * y) / x) * K(y,y \ 1) = (T(y,z) \ 1) \ (K(x,y) * K(z,y)).
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) = T(x,x \ 1) * K(z,x).
T(x,x \ 1) * K(y,x) = (T(x,z) \ 1) \ (K(y,x) * K(z,x)).
(((x * y) / x) / T(y,z)) * K(K(x,y) * K(z,y),T(y,z)) = T(y,z) \ ((x * y) / x).
T(x,y) \ (((z * x) / z) / ((1 / T(x,y)) * ((z * x) / z))) = ((K(z,x) * K(y,x)) / ((z * x) / z)) * T(x,y).
T(x,y) \ a(T(x,y),T(x,y) \ 1,(z * x) / z) = R(1 / T(x,y),T(x,y),K(z,x) * K(y,x)).
R(1 / T(x,y),T(x,y),K(z,x) * K(y,x)) = T(x,y) \ a(T(x,y),T(x,y) \ 1,(z * x) / z).
R(1 / T(x,y),T(x,y),K(z,x) * K(y,x)) = (T(x,y) \ ((z * x) / z)) / ((z * x) / z).
T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x).
(T(x,y) \ 1) \ (K(z,x) * K(y,x)) = (x \ 1) \ K(z,x).
(T(x,y) \ 1) * ((x \ 1) \ K(z,x)) = K(z,x) * K(y,x).
((x * y) / x) * (y \ K(z,y)) = K(x,y) * K(z,y).
K(x,y) * K(z,y) = ((x * y) / x) * (y \ K(z,y)).
(T(x,y) \ 1) * ((z * T(x,x \ 1)) / z) = K(z,x) * K(y,x).
(T(x,y) \ 1) * ((z * ((T(x,y) \ 1) \ K(y,x))) / z) = K(z,x) * K(y,x).
(T(x,y) \ 1) * ((z * ((T(x,y) \ 1) \ ((x \ 1) \ (T(x,y) \ 1)))) / z) = K(z,x) * K(y,x).
R(x / y,(x / y) \ 1,K(y,y \ x)) = x / y.
x / y = R(x / y,(x / y) \ 1,K(y,y \ x)).
R(x / y,1 / (x / y),K(y,y \ x)) = x / y.
R((1 / (x / y)) \ 1,1 / (x / y),K(y,y \ x)) = x / y.
R((1 / (x / y)) \ 1,1 / (x / y),K(y,y \ x)) = T(1 / (1 / (x / y)),(x / y) \ 1).
R((1 / (x / y)) \ 1,1 / (x / y),K(y,y \ x)) = T(1 / (1 / (x / y)),1 / (x / y)).
a(x,y,T(z,(u * w) \ u)) = a(x,y,T(z,w \ 1)).
a(x,y,T(z,((u * w) \ u) \ 1)) = a(x,y,T(z,w)).
a(x,y,T(z,L(u \ 1,u,w))) = a(x,y,T(z,u \ 1)).
a(x,y,T(z,u \ 1)) = a(x,y,T(z,L(u \ 1,u,w))).
a(x,y,T(z,u * a(w,v5,v5 \ 1))) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = a(x,y,T(z,u * a(w,v5,v5 \ 1))).
a(x,y,T(z,(z \ u) * a(w,v5,v5 \ 1))) = a(x,y,T(z,u)).
R((1 / (x / y)) \ 1,1 / (x / y),K(y,y \ x)) = T(1 / (K(y \ x,y) / (y \ x)),1 / (x / y)).
L(x,y,T(z,T(z,y) \ u)) = a(z,y,T(x,u)) \ x.
T(x,y) * (R(T(x,y),y,T(z,u)) \ z) = L(z,y,T(x,T(x,y) \ u)).
L(x,y,T(z,T(z,y) \ u)) = T(z,y) * (R(T(z,y),y,T(x,u)) \ x).
((T(x,y) \ z) \ z) * (R((T(x,y) \ z) \ z,y,u) \ u) = L(u,y,T(x,T(x,y) \ z)).
L(x,y,T(z,T(z,y) \ u)) = ((T(z,y) \ u) \ u) * (R((T(z,y) \ u) \ u,y,x) \ x).
K(a(x,y,z),(u * w) \ u) = K(w,a(x,y,z)).
K(a(x,y,z),(u * w) \ u) = K(w,a(x,y,a(u,w,w \ 1) * z)).
K(x,a(y,z,a(u,x,x \ 1) * w)) = K(a(y,z,w),(u * x) \ u).
K(((x * y) \ x) \ 1,a(z,u,w)) = K(y,a(z,u,a(x,y,y \ 1) * w)).
K(x,a(y,z,a(u,x,x \ 1) * w)) = K(((u * x) \ u) \ 1,a(y,z,w)).
K(1 / ((x * y) \ x),a(z,u,w)) = K(y,a(z,u,a(x,y,y \ 1) * w)).
K(x,a(y,z,a(u,x,x \ 1) * w)) = K(1 / ((u * x) \ u),a(y,z,w)).
K((1 / ((x * y) \ x)) * z,a(u,w,z)) = K(y,a(u,w,a(x,y,y \ 1) * z)).
(1 / x) \ T(1 / ((y * x) / y),z) = (x \ 1) \ T(((y * x) / y) \ 1,z).
(x \ 1) \ T(((y * x) / y) \ 1,z) = (1 / x) \ T(1 / ((y * x) / y),z).
a(x / T(y,y * z),L(y,z,y),K(y,z)) = a(x / K(y,z),K(y,z),y).
a(x / T(y,y * z),L(y,z,y),K(y,z)) = a((x / K(y,z)) / y,y,K(y,z)).
T(1 / x,K(y,y \ x)) * (y * (x / y)) = ((x \ 1) * K(y,y \ x)) / (x \ 1).
L(x \ 1,y * (x / y),x \ 1) = T(1 / x,K(y,y \ x)).
L(x \ 1,y * (x / y),x \ 1) = T(1 / x,x \ (y * (x / y))).
T(1 / x,(x \ 1) * (y * (x / y))) = L(x \ 1,y * (x / y),x \ 1).
R(x / (x / y),z,u) \ (x / (x / y)) = T(R(y,z,u) \ y,x \ 1).
T(R(x,y,z) \ x,u \ 1) = R(u / (u / x),y,z) \ (u / (u / x)).
1 \ (R(x / (x / y),z,u) \ (x / (x / y))) = T(R(y,z,u) \ y,x \ 1).
(x / (x * (R(y,z,u) \ y))) \ 1 = T(R(y,z,u) \ y,x \ 1).
x * (R(x,y,z) \ K(u,R(x,y,z) \ x)) = T(R(x,y,z) \ x,u \ 1).
T((R(x,y,z) \ x) / u,x \ R(x,y,z)) * u = x * (R(x,y,z) \ K(u,R(x,y,z) \ x)).
(R(x,y,z) \ x) / T(u,x \ R(x,y,z)) = T((R(x,y,z) \ x) / u,x \ R(x,y,z)).
T((R(x,y,z) \ x) / u,x \ R(x,y,z)) = (R(x,y,z) \ x) / T(u,x \ R(x,y,z)).
x * (y / (y * (R(x,K(x,x \ y),z) \ x))) = x * a(y / (y / x),K(x,x \ y),z).
x * a(y / (y / x),K(x,x \ y),z) = x * (y / (y * (R(x,K(x,x \ y),z) \ x))).
(K(x,y) \ (z * T(x,y))) * a(z,x,T(K(x,y),z * x)) = T(z * x,L(K(x,y),x,z)).
x \ T(x * ((x / y) \ 1),x) = (x / T(y,x)) \ 1.
x \ L(x * ((y \ x) \ 1),y \ x,y) = (x / T(y,x)) \ 1.
x \ L(y / ((y \ x) * (x \ y)),y \ x,y) = (x / T(y,x)) \ 1.
(T(x,y) \ y) * (y \ T(x,y)) = (x \ y) * (y \ x).
(x \ T(y,x)) * (y \ T(x,y)) = (x \ y) * (y \ x).
(x \ T(y,x)) * (y \ T(x,y)) = y / (x * (1 / (y \ x))).
x / (y * (1 / (x \ y))) = (y \ T(x,y)) * (x \ T(y,x)).
T(x,y) * (1 / (T(y,x) \ x)) = x * (1 / (y \ x)).
T(x,y) * (1 / (y \ T(x,y))) = x * (1 / (y \ x)).
x * (1 / (y \ x)) = T(x,y) * (1 / (y \ T(x,y))).
L(x,y,z) * (1 / (u \ L(x,y,z))) = x * (1 / (u \ x)).
((x \ y) * (y \ x)) \ y = L(x,z,u) * (1 / (y \ L(x,z,u))).
L(x,y,z) * (1 / (u \ L(x,y,z))) = ((x \ u) * (u \ x)) \ u.
L(x,y,z) * (1 / (u \ L(x,y,z))) = (x \ (u * ((x \ u) \ 1))) * u.
(x \ (y * ((x \ y) \ 1))) * y = L(x,z,u) * (1 / (y \ L(x,z,u))).
a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u) = x \ (u * ((x \ u) \ 1)).
a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u) = L(x,y,z) \ L(u * ((x \ u) \ 1),y,z).
a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u) = L(x,y,z) \ (u * ((L(x,y,z) \ u) \ 1)).
a(x,y,L(R(x,y,x),z,u)) = a(L(x,z,u),y,x).
L(a(x,y,x),z * x,u) = a(L(x,z,u),y,x).
L(a(x,y,T(x,y)),z * x,u) = a(L(x,z,u),y,x).
L(a(x,y,T(x,x * y)),z * x,u) = a(L(x,z,u),y,x).
T(x,L(x,y,z) * T(u,x)) = T(x,x * u).
T(x,x * y) = T(x,L(x,z,u) * T(y,x)).
(a(x,y,z) \ u) \ ((L(z,y,x) * (u * z)) / z) = T(z,z * u).
(a(x,y,z) \ u) \ ((L(z,y,x) * (u * z)) / z) = L(T(z,u),u,z).
(a(x,y,z) \ u) \ ((L(z,y,x) * (u * z)) / z) = L(T(z,a(x,y,z) \ u),u,z).
L(T(x,a(y,z,x) \ u),u,x) = (a(y,z,x) \ u) \ ((L(x,z,y) * (u * x)) / x).
K(x,y) * (R(K(x,y),T(x,z),u) \ u) = L(u,T(x,z),K(x,y)).
L(x,T(y,z),K(y,u)) = K(y,u) * (R(K(y,u),T(y,z),x) \ x).
x / (x * (y \ R(y,z,u))) = R(y,z,x * (u / x)) \ y.
R(x,y,z * (u / z)) \ x = z / (z * (x \ R(x,y,u))).
(x \ R(x,y,z * (u / z))) \ w = (z / (z * (x \ R(x,y,u)))) * w.
(x * (y \ R(y,z,u))) / x = y \ R(y,z,x * (u / x)).
x / (x * (R(y,z,u) \ y)) = y \ R(y,z,x * (u / x)).
(R(x,y,z * (u / z)) * y) / (x * y) = z / (z * (R(x,y,u) \ x)).
((x * y) * a(x,y,z * (u / z))) / (x * y) = z / (z * (R(x,y,u) \ x)).
((x * y) * ((z * a(x,y,u)) / z)) / (x * y) = z / (z * (R(x,y,u) \ x)).
((x * y) * ((z * a(x,y,u)) / z)) / (x * y) = (z * (x \ R(x,y,u))) / z.
(T(x * y,x) / x) / a(x,y,T(x,z)) = y * K(z,a(x,y,x)).
K(x,x \ y) * L(y \ 1,y,x \ ((x \ y) \ 1)) = K(x,x \ y) / y.
T(x * K(L(x,y,z) * u,x),u) = R(x,a(z,y,x) \ u,x).
(a(x,y,z) \ u) \ T(L(z,y,x) * u,z) = T(z * K(L(z,y,x) * u,z),u).
T(x * K(L(x,y,z) * u,x),u) = (a(z,y,x) \ u) \ T(L(x,y,z) * u,x).
K(x,x \ y) * L(y \ 1,y,x \ ((x \ y) \ 1)) = (y * (((x \ y) * x) \ 1)) / y.
(x / (x * a(y,z,u))) * ((1 / u) \ w) = (a(y,z,x * (u / x)) / u) \ w.
(a(x,y,z * (u / z)) / u) \ w = (z / (z * a(x,y,u))) * ((1 / u) \ w).
a(R(x,x \ y,x),y,z) = T(x \ R(x,y,z),y).
a((x \ y) \ T(y,x),y,z) = T(x \ R(x,y,z),y).
a((x \ y) \ T(y,x),y,z) = y \ (R(x,y,z) * (x \ y)).
x \ (R(y,x,z) * (y \ x)) = a((y \ x) \ T(x,y),x,z).
x \ ((y \ x) * R((y \ x) \ x,x,z)) = a((y \ x) \ T(x,y),x,z).
a((x \ y) \ T(y,x),y,z) = y \ ((x \ y) * R((x \ y) \ y,y,z)).
((x \ y) \ y) \ R((x \ y) \ y,y,z) = a((x \ y) \ T(y,x),y,z).
(K(x,y) / L((x * y) / x,z,u)) \ w = (x / (x * a(u,z,y))) * ((1 / y) \ w).
(L(K(x,y),z,u) / T(x,y)) * x = a(u,z,K(x,y)) \ 1.
a(x,y,K(z,u)) \ 1 = (L(K(z,u),y,x) / T(z,u)) * z.
(L(K(x,y),z,u) / T(x,y)) * x = K(x,y) \ L(K(x,y),z,u).
((L(K(x,y),z,u) * 1) / T(x,y)) * x = K(x,y) \ L(K(x,y),z,u).
R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)).
a(x,y,R(x,z,u)) = R(a(x,y,x),x * z,u).
a(x,y,R(R(z,u,z),w,v5)) = a(x,y,R(z,w,v5)).
a(x,y,R(T(T(z,u),u \ 1),w,v5)) = a(x,y,R(R(z,u,z),w,v5)).
a(x,y,R(T(z \ (u * z),z \ 1),w,v5)) = a(x,y,R(R(u,z,u),w,v5)).
a(x,y,R(R(z,u,z),w,v5)) = a(x,y,R(T(u \ (z * u),u \ 1),w,v5)).
a(x,y,R(R(z,u,z),w,v5)) = a(x,y,R(u \ T(z * u,u \ 1),w,v5)).
a(x,y,R(z \ T(u * z,z \ 1),w,v5)) = a(x,y,R(R(u,z,u),w,v5)).
a(x,y,z \ 1) \ a(x,y,u / (u * z)) = K(u,a(x,y,z \ 1)).
K(x,a(y,z,u \ 1)) * u = u * K(x,a(y,z,u \ 1)).
x * K(y,a(z,u,x \ 1)) = K(y,a(z,u,x \ 1)) * x.
a(x,y,R((z * u) * (T(z,u) / (z * u)),w,v5)) = a(x,y,R(R(z,u,z),w,v5)).
(a(x,y,T(z \ 1,u)) \ z) * a(x,y,z \ 1) = z * K(u,a(x,y,z \ 1)).
a(x,y,T(z,((u * w) \ u) \ 1)) = a(x,y,T(z,w * a(u,w,w \ 1))).
a(x,y,T(z,1 / ((u * w) \ u))) = a(x,y,T(z,w * a(u,w,w \ 1))).
(a(x,y,T(z \ 1,u)) \ z) * a(x,y,z \ 1) = K(u,a(x,y,z \ 1)) * z.
K(x,a(y,z,u \ 1)) * u = (a(y,z,T(u \ 1,x)) \ u) * a(y,z,u \ 1).
a(x,y,K(z,u)) \ K(z,L(u,w,v5)) != K(a(v5,w,u),z) * v6 | L(K(z,u),y,x) = v6.
a(x,y,K(z,u)) \ K(z,L(u,w,v5)) = K(a(v5,w,u),z) * L(K(z,u),y,x).
K(a(x,y,z),u) * L(K(u,z),w,v5) = a(v5,w,K(u,z)) \ K(u,L(z,y,x)).
((x \ y) \ y) * (R((x \ y) \ y,z,u) \ w) = x * (R(x,z,T(u,y)) \ w).
a(x,y,z) * (1 / (u * (a(w,v5,v6) \ a(x,y,z)))) = a(w,v5,v6) * (1 / u).
a(x,y,T(T(x,z),T(x,T(x,z) * y) * u)) = a(T(x,z),y,T(T(x,y),u)).
a(x,y,R(z \ T(u,z \ 1),w,v5)) = a(x,y,R(T(z \ u,z \ 1),w,v5)).
K(x,a(y,z,u)) * T(x,u) = T(x,u * a(y,z,u)).
T(T(x,y),a(z,u,y)) = T(x,y * a(z,u,y)).
T(x,y * a(z,u,y)) = T(T(x,y),a(z,u,y)).
T(T(x,a(y,z,u)),T(u,x)) = T(x,u * a(y,z,u)).
T(K(x,a(y,z,u)) * x,T(u,x)) = T(x,u * a(y,z,u)).
K(x,L(y,z,u)) / T(x,y) = T(1 / x,a(u,z,y)).
T((a(x,y,T(z,u)) \ a(x,y,z)) * u,T(z,u)) = T(u,z * a(x,y,z)).
T(T(1 / x,a(y,z,u)),K(x,L(u,z,y))) = K(x,L(u,z,y)) / T(x,u).
T((x * y) / x,L(x,z,u)) = T(y,a(u,z,x) \ 1).
x \ (x * T(y,a(z,u,x) \ 1)) = T((x * y) / x,L(x,u,z)).
T(a(x,y,T(z,u)) \ (a(x,y,z) * u),T(z,u)) = T(u,z * a(x,y,z)).
T(x,y * a(z,u,y)) = T(a(z,u,T(y,x)) \ (a(z,u,y) * x),T(y,x)).
T(T(x,a(y,z \ 1,z)),y \ (y / z)) = T(x,z \ 1).
T(T(x,a(y \ z,y,y \ 1)),z \ (z / y)) = T(x,y \ 1).
T(T(x,a(y,z,u)),L(u,z,y)) = T(x,u).
T(x,y) = T(T(x,a(z,u,y)),L(y,u,z)).
R(x,y,x) * K(a(x,y,x),z) = R(x,y,T(x,z)).
T(x,y) \ ((T(x,y) * z) * x) = z * R(x,z,T(x,y)).
x * a(x,y,T(x,z)) = R(x,y,T(x,z)).
R(x,y,T(x,z)) = x * a(x,y,T(x,z)).
(T(x,y) * a(x,z,T(x,y))) / (x \ T(x,y)) = R(x,z,T(x,y)).
(T(x,y) * T(a(x,z,x),y)) / (x \ T(x,y)) = R(x,z,T(x,y)).
a(x / y,y,K(z,y)) = a(x,K(z,y),y).
a(x,K(y,z),z) = a(x / z,z,K(y,z)).
K(x,y) / L((x * y) / x,z,u) = a(u,z,x * (y / x)) / y.
T(a(x,y,z) * (a(x,y,z) \ u),z) = T(T(u,a(x,y,z)),L(z,y,x)).
T(a(x,y,z) * u,z) = a(x,y,z) * T(u,z).
T(a(x,y,z) * u,L(z,u,a(x,y,z))) = a(x,y,z) * T(u,z).
T(x * a(y,z,T(u,w)),u) = T(x,u) * a(y,z,T(u,w)).
T(x,y) * a(z,u,T(y,w)) = T(x * a(z,u,T(y,w)),y).
x \ (y * (x * a(z,u,T(x,w)))) = T(y,x) * a(z,u,T(x,w)).
x \ ((y * x) * a(z,u,T(x,w))) = T(y,x) * a(z,u,T(x,w)).
R(x,y,a(z,u,T(x,w))) = x.
R(x,y,a(z,u,T(x,w))) = K(w,x) * T(x,w).
K(x,y) * T(y,x) = R(y,z,a(u,w,T(y,x))).
K(x,L(y,T(y,x),z / T(y,x))) = K(x,L(y,T(y,x),T(y,x) \ z)).
K(x,L(y,T(y,x),z * K(T(y,x),z))) = K(x,L(y,T(y,x),z)).
1 / T(x,a(y,z,u)) = T(1 / x,a(y,z,u)).
1 / (K(x,a(y,z,u)) / (x \ 1)) = T(1 / x,a(y,z,u)).
T(1 / x,a(y,z,u)) = 1 / (K(x,a(y,z,u)) / (x \ 1)).
K(x,y) * K(a(z,u,y),x) = K(x,L(y,u,z)).
K(x,L(y,z,u)) / a(w,v5,K(x,y)) = K(a(u,z,y),x) * L(K(x,y),v5,w).
K(a(x,y,z),u) * K(u,z) = K(u,L(z,y,x)).
K(x * a(y,z,u),L(u,z,y)) = K(a(y,z,u),x) * K(x,u).
((R(x,y,z) \ x) / u) * K(x \ R(x,y,z),u) = T((R(x,y,z) \ x) / u,x \ R(x,y,z)).
K(x * a(y,z,u),L(u,z,y)) = K(a(y,z,u),u * x) * K(x,u).
T((x \ y) * a(z,u,T(x,y)),a(z,u,x)) != (x \ y) * w | a(z,u,x) = w.
L(a(x,y,K(z,u)),T(z,u),x) = a(x,y,T(K(z,u),x * z)).
K(L(x,y,z) * T(u,x),x) * T(x,u) = R(x,a(z,y,x) \ u,x).
a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u) = (L(x,y,z) * (1 / (u \ L(x,y,z)))) / u.
(L(x,y,z) * (1 / (u \ L(x,y,z)))) / u = a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u).
a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u) * u = L(x,y,z) * (1 / (u \ L(x,y,z))).
L(x,y,z) * (1 / (u \ L(x,y,z))) = a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u) * u.
T(x * (1 / (x / y)),x / y) = x * (1 / (y \ x)).
T(x * (1 / (x / y)),x / y) = y / ((x \ y) * (y \ x)).
K(x * a(y,z,u),L(u,w,v5)) = K(x,L(u,w,v5)).
K(x,L(y,z,u)) = K(x * a(w,v5,y),L(y,z,u)).
K(x / a(y,z,u),L(u,w,v5)) = K(x,L(u,w,v5)).
a(x,y,T(K(z,u),w * T(z,u))) = a(x,y,T(K(z,u),w * z)).
a(x,y,T(z,u * (w * z))) = a(x,y,T(z,u * w)).
T(x,y * (x * K(z,x))) = T(x,x * (y * K(z,x))).
T(x,y * (z * x)) = T(x,x * (y * z)).
T(x,y * L(x,z,u)) = T(x,x * y).
T(x,x * y) = T(x,y * L(x,z,u)).
T(x,x * (y / a(z,u,x))) = T(x,x * y).
K(x / a(y,z,u),L(u,w,v5)) = L(T(u,x),w,v5) \ L(u,w,v5).
L(T(x,y),z,u) \ L(x,z,u) = K(y / a(w,v5,x),L(x,z,u)).
T(x,y / a(z,u,x)) = T(x,y).
T(x,y) = T(x,y / a(z,u,x)).
T(x,T(y,a(z,u,x) \ y)) = T(x,y).
T(x,y) = T(x,T(y,a(z,u,x) \ y)).
T(x,T(a(y,z,x) * u,u)) = T(x,u).
T(a(x,y,z) * u,u) \ (z * T(a(x,y,z) * u,u)) = T(z,u).
T(a(x,y,z) * u,u) \ (z * (a(x,y,T(z,u)) * u)) = T(z,u).
1 / K(T(x,y \ R(y,z,u)),w) = T(1 / K(x,w),y \ R(y,z,u)).
K(T(x,y \ R(y,z,u)),w) = T(K(x,w),y \ R(y,z,u)).
1 / T(x,y \ R(y,z,u)) = T(1 / x,y \ R(y,z,u)).
T(1 / x,y \ R(y,z,u)) = 1 / T(x,y \ R(y,z,u)).
((x \ y) \ y) * (R((x \ y) \ y,z,u) \ w) = (R(x,z,T(u,y)) \ x) * w.
(R(x,y,T(z,u)) \ x) * w = ((x \ u) \ u) * (R((x \ u) \ u,y,z) \ w).
x * a(x,K(y,z),z) = R(x,K(y,z),z).
T(x,L(x / (x / y),z,u) \ 1) = T(x,L(y,z,u) \ 1).
K(((x \ 1) * y) \ (a(x,x \ 1,y) \ z),a(x,x \ 1,y)) = K(z,a(x,x \ 1,y)).
K((x \ y) \ z,a(x,x \ 1,y)) = K(z,a(x,x \ 1,y)).
a(x,y,(z * u) * (R(T(z,u),w,v5) / (z * u))) = a(x,y,R(R(z,u,z),w,v5)).
a(x,y,R(R(z,u,z),w,v5)) = a(x,y,(z * u) * (R(T(z,u),w,v5) / (z * u))).
K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,x).
K(L(x,y,z) \ u,L(x,w,v5)) = K(x \ u,L(x,w,v5)).
K(a(x,y,z) * u,L(z,w,v5)) = K(u,L(z,w,v5)).
T(a(x,y,z) * u,u) \ (a(x,y,T(z,u)) * (z * u)) = T(z,u).
(x * y) * z != x * (y * K(u,a(w,v5,y))) | K(u,a(w,v5,y)) = z.
x * (y * K(z,a(u,w,y))) != (x * y) * v5 | K(z,a(u,w,y)) = v5.
(x * y) * K(z,a(u,w,y)) = x * (y * K(z,a(u,w,y))).
x * (y * K(z,a(u,w,y))) = (x * y) * K(z,a(u,w,y)).
K(R(x,y,z) \ x,u \ (R(x,y,z) \ x)) = K(x \ R(x,y,z),u).
K(x * K(x,y \ R(y,z,u)),w) = T(K(x,w),y \ R(y,z,u)).
K(R(x,y,z) \ x,u \ 1) = K(x \ R(x,y,z),u).
K(x \ R(x,y,z),u \ 1) = K(u,x \ R(x,y,z)).
(1 / x) * K(y \ R(y,z,u),x) = T(1 / x,y \ R(y,z,u)).
K(x \ 1,y \ R(y,z,u)) = K(y \ R(y,z,u),x).
K(x \ R(x,y,z),u) = K(u \ 1,x \ R(x,y,z)).
(a(x,y,T(z / u,w)) \ u) * a(x,y,u \ z) = u * K(w,a(x,y,u \ z)).
R(x,y,z) * (R(x,y,T(z,u)) \ 1) = K(R(x,y,z) \ x,u).
x \ T(R(x,y,z) \ x,u) = R(x,y,T(z,u)) \ 1.
R(x,y,T(z,u)) \ x = T(R(x,y,z) \ x,u).
x * a(x / K(y,z),K(y,z),y) = ((x / T(y,z)) * y) * K(y,z).
(x / x) * (R(y,z,T(u,w)) \ y) = T(R(y,z,u) \ y,w).
T(R(x,y,z) \ x,u) = (w / w) * (R(x,y,T(z,u)) \ x).
a(x,y,R(T(T(z,u),u \ 1),w,v5)) = a(x,y,R(z,w,v5)).
a(x / K(y,z),K(y,z),y) = a(x / T(y,z),y,K(y,z)).
a(x / T(y,z),y,K(y,z)) = a(x / K(y,z),K(y,z),y).
R(T(x,x \ y),z,u) \ ((x \ y) \ y) = R(x,z,T(u,y)) \ x.
x / (R(y,z,T(u,w)) * (y \ x)) = T(R(y,z,u) \ y,w).
R(x,y,z) \ x = a((y * x) / y,y,z) \ 1.
a((x * y) / x,x,z) \ 1 = R(y,x,z) \ y.
a(x * K(y,x),y,z) \ 1 = R(x,y,z) \ x.
a(x * K(y,x),y,z) = x \ R(x,y,z).
x \ R(x,y,z) = a(x * K(y,x),y,z).
x * (y * a(x,K(z,y),T(y,z))) = (x * K(z,y)) * T(y,z).
K(x,x \ y) \ ((y \ 1) * (x * (y / x))) = K(y \ 1,y).
T(x,T(a(y,z,x) * u,u)) = T(x,T(u,a(y,z,x) \ u)).
R(x,y,(z \ u) \ u) = R(x,y,T(z,u)).
R(x,y,T(z,z \ u)) = R(x,y,T(z,u)).
R(x,y,T(z,u)) = R(x,y,T(z,z \ u)).
R(x,y,T(z,z * u)) = R(x,y,T(z,u)).
R(x,y,T(z,z * u)) = x * T(x \ R(x,y,z),u).
x * T(x \ R(x,y,z),u) = R(x,y,T(z,z * u)).
T(x \ R(x,y,z),z * u) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),u) = T(x \ R(x,y,z),z * u).
L(T(x \ R(x,y,z),u),w,z) = T(x \ R(x,y,z),u).
L(x \ R(x,y,z),u,z) = x \ R(x,y,z).
a(x,y,T(z,u)) * (z * w) = z * (a(x,y,T(z,u)) * w).
a(x,y,R(T(T(z,u \ 1),u),w,v5)) = a(x,y,R(z,w,v5)).
R(x,K(y,z),y) \ x = a(x,K(y,z),y) \ 1.
x * a(x,K(y,z),y) = R(x,K(y,z),y).
a((x * K(y,z)) / T(y,z),y,K(y,z)) = a(x,K(y,z),y).
(x \ (K(y,x) * (x * z))) / (K(y,x) * L(z,x,K(y,x))) = a(x,K(y,x),L(z,x,K(y,x))).
x \ R(x,K(y,x),z) = a(x,K(y,x),z).
K(x,y) * (R(K(x,y),y,z) \ u) = a(K(x,y),y,z) \ u.
a(K(x,y),y,z) \ u = K(x,y) * (R(K(x,y),y,z) \ u).
K(x,y) \ R(K(x,y),y,z) = a(K(x,y),y,z).
x * a(x,K(x,y),z) = R(x,K(x,y),z).
x \ R(x,K(x,y),z) = a(x,K(x,y),z).
R(K(x,y),x,z) \ K(x,y) = a(K(x,y),x,z) \ 1.
a(K(x,y),x,z) \ 1 = R(K(x,y),x,z) \ K(x,y).
K(x,y) * a(K(x,y),x,z) = R(K(x,y),x,z).
K(x,y) \ R(K(x,y),x,z) = a(K(x,y),x,z).
x * R(x \ y,x,K(x,z)) = y * a(y,K(x,z),x).
x * R(x \ y,x,z) = y * a(y / x,x,z).
x * a(x / y,y,z) = y * R(y \ x,y,z).
x \ (y * R(y \ x,y,z)) = a(x / y,y,z).
a(x / y,y,z) = x \ (y * R(y \ x,y,z)).
L(x,T(y,z),(K(y,z) * T(y,u)) / T(y,z)) = K(y,u) * (R(K(y,u),T(y,z),x) \ x).
L(x,y,(T(z,T(z,y) \ u) * y) / y) = ((T(z,y) \ u) \ u) * (R((T(z,y) \ u) \ u,y,x) \ x).
(x \ y) * (R(x \ y,x,z) \ z) = L(z,x,y / x).
L(x,y,z / y) = (y \ z) * (R(y \ z,y,x) \ x).
a(x \ K(x,y),x,y) = a(y / (y * x),x,y).
a(x / (x * y),y,x) = a(y \ K(y,x),y,x).
a((x / K(y,z)) / L(y,z,y),L(y,z,y),K(y,z)) = a(x / T(y,y * z),L(y,z,y),K(y,z)).
x / (x * T(y \ R(y,z,x),u)) = R(y,z,T(x,u)) \ y.
(T(x,y) * T(z \ R(z,u,x),y)) / (z \ T(x,y)) = R(z,u,T(x,y)).
T(x \ R(x,y,z),u) \ w = x * (R(x,y,T(z,u)) \ w).
T(x \ R(x,y,z),u) * w = R(x,y,T(z,u)) * (x \ w).
x * T(x \ R(x,y,z),u) = R(x,y,T(z,u)).
R(x / (x / y),K(y,y \ x),z) * K(y,y \ x) = y * a(x / (x / y),K(y,y \ x),z).
x * a(y / (y / x),K(x,x \ y),z) = R(y / (y / x),K(x,x \ y),z) * K(x,x \ y).
((x * y) * ((z * a(x,y,u)) / z)) / (x * y) = (z * ((R(x,y,u) * y) / (x * y))) / z.
(x * ((R(y,z,u) * z) / (y * z))) / x = ((y * z) * ((x * a(y,z,u)) / x)) / (y * z).
L(x,y,z * K(y,z)) = z * (R(z,y,x) \ x).
L(x,y,(y * z) / y) = z * (R(z,y,x) \ x).
L(L(x,y,z) \ u,L(x,y,R(z,y,x)),R(z,y,x) * y) = (R(z,y,x) * (y * x)) \ ((R(z,y,x) * y) * u).
L(x,y,(z * x) / (y * x)) = L(x,y,z / y).
L(x,y,R(z,y,x)) = L(x,y,z).
L(x,y,z) = L(x,y,R(z,y,x)).
a(K(x,y) / x,x,y) = a(y / (y * x),x,y).
a(x / (x * y),y,x) = a(K(y,x) / y,y,x).
T(x,K(y,z)) \ R(T(x,K(y,z)),K(y,z),z) = a(x / z,z,K(y,z)).
a(x / y,y,K(z,y)) = T(x,K(z,y)) \ R(T(x,K(z,y)),K(z,y),y).
(x * y) * (z * a(x,y,z)) = (R(x,y,z) * y) * z.
(x * y) * a(x,y,z) = R(x,y,z) * y.
L(x,y,R(z,y,x)) = a(z,y,x) \ x.
a((x / y) / z,z,y) = a(x / (z * y),z,y).
a(x / (y * z),y,z) = a((x / z) / y,y,z).
a((x * K(y,z)) / ((y * z) / y),z,K(y,z)) = a(x,K(y,z),z).
(((x / (x * y)) \ 1) \ 1) \ R(T(x / (x * y),y),y,z) = a(x / (x * y),y,z).
a(x / (x * y),y,z) = (((x / (x * y)) \ 1) \ 1) \ R(T(x / (x * y),y),y,z).
a(R(x,y,z),y,z) = a(x,y,z).
x \ R(T(x,K(y,x)),K(y,x),z) = a(x,K(y,x),z).
a(x,K(y,x),z) = x \ R(T(x,K(y,x)),K(y,x),z).
K(x,y) \ R(T(K(x,y),y),y,z) = a(K(x,y),y,z).
a(K(x,y),y,z) = K(x,y) \ R(T(K(x,y),y),y,z).
T(x,y) * (R(T(x,y),y,z) \ u) = a(x,y,z) \ u.
a(x,y,z) \ u = T(x,y) * (R(T(x,y),y,z) \ u).
x \ R(T(x * K(y,x),y),y,z) = a(x * K(y,x),y,z).
a(x * K(y,x),y,z) = x \ R(T(x * K(y,x),y),y,z).
x \ R(T(x,K(x,y)),K(x,y),z) = a(x,K(x,y),z).
a(x,K(x,y),z) = x \ R(T(x,K(x,y)),K(x,y),z).
K(x,y) \ R(T(K(x,y),x),x,z) = a(K(x,y),x,z).
a(K(x,y),x,z) = K(x,y) \ R(T(K(x,y),x),x,z).
((x \ y) \ y) \ R(T((x \ y) \ T(y,x),y),y,z) = a((x \ y) \ T(y,x),y,z).
a((x \ y) \ T(y,x),y,z) = ((x \ y) \ y) \ R(T((x \ y) \ T(y,x),y),y,z).
a(x,y,z) = T(x,y) \ R(T(x,y),y,z).
T((x / y) \ R(x / y,y,z),x) = a(x / y,y,z).
a(x / y,y,z) = T((x / y) \ R(x / y,y,z),x).
x \ R(x,y,T(z,u)) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),u) = x \ R(x,y,T(z,u)).
a(x,y,z) = T(x \ R(x,y,z),x * y).
a(x,y,z) * (1 / (u * (a(w,v5,v6) \ a(x,y,z)))) = 1 / (u / a(w,v5,v6)).
1 / (x / a(y,z,u)) = a(w,v5,v6) * (1 / (x * (a(y,z,u) \ a(w,v5,v6)))).
1 / (x / a(y,z,u)) = a(y,z,u) * (1 / x).
a(x,y,z) * (1 / u) = 1 / (u / a(x,y,z)).
(x * y) * a(z,u,T(y,w)) = x * (y * a(z,u,T(y,w))).
T(1 / T(x,a(y,z,u)),K(x,L(u,z,y))) = K(x,L(u,z,y)) / T(x,u).
T((L(x,y,z) * u) / L(x,y,z),x) = T(u,a(z,y,x)).
T(x,a(y,z,u)) = T((L(u,z,y) * x) / L(u,z,y),u).
((x / a(y,z,y)) / (R(y,z,y) \ T(x,y))) * a(y,z,y) = R(T(y,x),z,y).
R(T(x,y / a(x,z,x)),z,x) = R(T(x,y),z,x).
K(x,L(y,x,T(y,z))) = K(x,y).
K(x,y) * T(y,T(y,z) * x) = L(y,x,T(y,z)).
a(x,y,T(x,z)) \ x = L(x,y,T(x,z)).
L(x,y,T(x,z)) = a(x,y,T(x,z)) \ x.
a(T(x,y),z,x) = a(x,z,T(x,y)).
a(x,y,T(T(x,y),z)) = a(T(x,z),y,x).
a(x,y,T(T(z,u),w * z)) = a(x,y,T(T(z,w),u)).
a(x,y,T(T(z,u),w)) = a(x,y,T(T(z,w),u * z)).
a(x,y,T(T(z,z * u),w)) = a(x,y,T(T(z,u),w)).
a(x,y,T(T(z,u),w * z)) = T(a(x,y,T(z,w)),u).
a(x,y,T(T(z,u),z * w)) = a(x,y,T(T(z,w),u)).
a(x,y,T(T(z,u),w)) = a(x,y,T(T(z,w),z * u)).
K(x * a(y,z,u),L(u,z,y)) = T(u * x,a(y,z,u)) \ (x * u).
L(x,y,z) * (u * a(z,y,x)) = T(x * u,a(z,y,x)).
T(x * y,a(z,u,x)) = x * T(y,a(z,u,x)).
x * T(y,a(z,u,x)) = T(x * y,a(z,u,x)).
K(x * T(y,z),a(x,y,K(y,z))) = K(x * y,a(x,y,K(y,z))).
a(x,y,T(z,u)) * (u \ T(L(z,y,x) * u,z)) = T(z * K(L(z,y,x) * u,z),u).
T(x,T(y,a(z,u,x) \ y)) = T(x,y / a(z,u,x)).
a(x,y,z) \ T(u,z) = T(a(x,y,z) \ u,z).
T(x * a(y,z,u),u) = T(x,u) * a(y,z,u).
T(x,y) * a(z,u,y) = T(x * a(z,u,y),y).
T(L(x,y,z) \ u,a(z,y,x)) = T(u / L(x,y,z),x).
T(x / L(y,z,u),y) = (y \ x) * a(u,z,y).
T((x * y) / L(x,z,u),x) = y * a(u,z,x).
x / (x / L(L(y,y \ 1,x),z,u)) = L(x / (x * (1 / y)),z,u).
L(x / (x * (1 / y)),z,u) = x / (x / L(L(y,y \ 1,x),z,u)).
x / (x / L(L(y \ 1,y,x),z,u)) = L(x / (x * y),z,u).
L(x / (x * y),z,u) = x / (x / L(L(y \ 1,y,x),z,u)).
T(x,L(x / (x / y),z,u) \ 1) = T(x,x \ (x / L(y,z,u))).
T(x,x \ (x / L(y,z,u))) = T(x,L(x / (x / y),z,u) \ 1).
L(x / (x / y),z,u) = x / (x / L(y,z,u)).
x / (x / L(y,z,u)) = L(x / (x / y),z,u).
L(x / (x / y),z,u) \ x = x / L(y,z,u).
T(a(x,y,T(z,u)),w * z) = T(a(x,y,T(z,w)),u).
K(T(x,y),a(z,u,w)) = K(x,a(z,u,T(w,y))).
a(x,y,T(T(z,u),z * w)) = T(a(x,y,T(z,w)),u).
T((x \ y) * a(z,u,T(x,y)),a(z,u,x)) = (x \ y) * a(z,u,x).
(K(x,y) \ (z * T(x,y))) * a(z,x,T(K(x,y),z * T(x,y))) = T(z * x,L(K(x,y),x,z)).
(x \ y) * a(z,u,T(x,y)) = L(x,u,z) \ y.
(x \ y) \ (L(x,z,u) \ y) = a(u,z,T(x,y)).
a(x,y,T(K(z,u),x * T(z,w))) = L(a(x,y,K(z,u)),T(z,w),x).
L(a(x,y,K(z,u)),T(z,w),x) = a(x,y,T(K(z,u),x * T(z,w))).
K(L((x \ y) / z,z,x),a(u,w,z)) = K(z * ((x * z) \ y),a(u,w,z)).
K((1 / ((x * y) \ x)) * z,a(u,w,a(x,y,y \ 1) * z)) = K(y,a(u,w,a(x,y,y \ 1) * z)).
K(1 / (x / y),a(z,u,((y / x) * (x / y)) * w)) = K((y / x) * w,a(z,u,((y / x) * (x / y)) * w)).
K((x / y) * z,a(u,w,((x / y) * (y / x)) * z)) = K(1 / (y / x),a(u,w,((x / y) * (y / x)) * z)).
K(x / y,a(z,u,y)) = K(x,a(z,u,y)).
K(x,a(y,z,u)) = K(x / u,a(y,z,u)).
K((x \ y) \ z,a(x,x \ 1,y)) = K(z,a(x \ 1,x,x \ y)).
K(x,a(y \ 1,y,y \ z)) = K((y \ z) \ x,a(y,y \ 1,z)).
x * (K(y,a(z,u,x)) * y) = T(x * y,a(z,u,x)).
K(x * (y * z),a(x,y,z)) = K(x * y,a(x,y,z)).
K(x * y,a(x,y,z)) = K(x * (y * z),a(x,y,z)).
K(x * y,a(z,u,y)) = K(x,a(z,u,y)).
K(x \ y,a(z,u,x)) = K(y,a(z,u,x)).
K(x,a(y,z,u)) = K(u \ x,a(y,z,u)).
K(x * y,a(z,u,x)) = K(y,a(z,u,x)).
K(x,a(y,z,u)) = K(u * x,a(y,z,u)).
L(a(x,y,T(z,u)),u,x) = a(x,y,T(z,x * u)).
a(x,y,T(z,x * u)) = L(a(x,y,T(z,u)),u,x).
T(a(x,y,T(z,u)) * w,a(x,y,z)) = K(a(x,y,z),u) * (w * a(x,y,z)).
K(a(x,y,z),u) * (w * a(x,y,z)) = T(a(x,y,T(z,u)) * w,a(x,y,z)).
K(a(x,y,z),z * u) = K(a(x,y,z),u).
K(a(x,y,z),u) = K(a(x,y,z),z * u).
(x \ K(y,y \ x)) / (((y \ x) * y) \ 1) = 1.
(x \ T(K(y,y \ x),x \ 1)) / (((y \ x) * y) \ 1) = K(K(y,y \ x),x \ 1).
(x \ K(y,y \ x)) / ((((y \ x) * y) \ 1) / K(y,y \ x)) = K(y,y \ x) * K(x \ 1,K(y,y \ x)).
K(x,x \ y) * ((((x \ y) * x) \ 1) / K(x,x \ y)) = y \ T(K(x,x \ y),y \ 1).
x \ T(K(y,y \ x),x \ 1) = K(y,y \ x) * ((((y \ x) * y) \ 1) / K(y,y \ x)).
((x \ y) * x) * (y \ K(x,x \ y)) = 1.
L(K(((x \ y) * x) \ 1,y) / y,y,((x \ y) * x) \ 1) = (y * (K(x,x \ y) \ (((x \ y) * x) \ 1))) / y.
(x * (K(y,y \ x) \ (((y \ x) * y) \ 1))) / x = L(K(((y \ x) * y) \ 1,x) / x,x,((y \ x) * y) \ 1).
K(x,x \ y) * L(y \ 1,y,((x \ y) * x) \ 1) = (y * (((x \ y) * x) \ 1)) / y.
K(x,x \ y) \ ((((x \ y) * x) \ 1) * y) = K(((x \ y) * x) \ 1,y).
K(((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((((x \ y) * x) \ 1) * y).
((x \ y) * x) \ 1 = y \ K(x,x \ y).
x \ K(y,y \ x) = ((y \ x) * y) \ 1.
x * (((y \ x) * y) \ 1) = K(y,y \ x).
K(x,x \ y) = y * (((x \ y) * x) \ 1).
(x * y) \ K(x,y) = (y * x) \ 1.
K(x,y) = (x * y) * ((y * x) \ 1).
(x * y) * ((y * x) \ 1) = K(x,y).
(x * y) * ((y * x) \ 1) = K(x,T(y,x)).
K(x,T(y,x)) = (x * y) * ((y * x) \ 1).
K(x,R(y,z,a(u,w,T(y,x)))) = K(x,y).
L(x \ 1,y * (x / y),x \ 1) * (y * (x / y)) = ((x \ 1) * K(y,y \ x)) / (x \ 1).
((x \ 1) * K(y,y \ x)) / (x \ 1) = L(x \ 1,y * (x / y),x \ 1) * (y * (x / y)).
T(K(x,x \ y) / (x * (y / x)),(y \ 1) * (x * (y / x))) = L(y \ 1,x * (y / x),y \ 1).
K(x,x \ (y * x)) = (x * y) * ((y * x) \ 1).
(x * y) * ((y * x) \ 1) = K(x,x \ (y * x)).
(x * (y / x)) * (y \ 1) = K(x,x \ y).
(x * (y / x)) \ K(x,x \ y) = y \ 1.
x \ 1 = (y * (x / y)) \ K(y,y \ x).
R(x \ 1,x,K(y,y \ x)) = x \ 1.
K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)).
(K(x,x \ y) / (x * (y / x))) \ 1 = y.
(1 / x) * (y * (x / y)) = K(y,y \ x).
K(x,x \ y) / (x * (y / x)) = 1 / y.
a(x,x \ 1,y * (x / y)) = x * (1 / x).
a(x,y,z * (u / z)) \ ((1 / u) \ w) = (K(z,u) / L((z * u) / z,y,x)) \ w.
K(x,y) / L((x * y) / x,z,u) = (1 / y) * a(u,z,x * (y / x)).
a(x,x \ 1,y * (x / y)) = K(x,x \ 1).
a(x,y,R((z * u) / z,w,v5)) = a(x,y,z * (R(u,w,v5) / z)).
L(x * ((y \ x) \ 1),z,u) = x * ((L(y,z,u) \ x) \ 1).
x / T(y,L(y,z,u) \ x) = y \ x.
R(T(x,y / a(x,z,x)),z,x) = R(T(x,T(y,x)),z,x).
R(T(x,T(y,x)),z,x) = R(T(x,y / a(x,z,x)),z,x).
T(L(x,y,z) * u,T(x,u)) = T(L(x,y,z) * u,x).
K((a(x,y,z) \ u) * z,z) * T(z,u) = R(z,a(x,y,z) \ u,z).
K(a(x,y,z) * u,L(z,w,v5)) = L(T(z,u),w,v5) \ L(z,w,v5).
L(T(x,y),z,u) \ L(x,z,u) = K(a(w,v5,x) * y,L(x,z,u)).
T(x,T(a(y,z,x) * u,u)) = T(x,u * K(a(y,z,x),u)).
T(x,T(y,a(z,u,x) \ 1)) = T(x,y / a(z,u,x)).
T(x,a(y,z,x) \ u) = T(x,u).
T(x,y) = T(x,a(z,u,x) \ y).
T(x,L(x,y,z) \ u) = T(x,x \ u).
T(x,x \ y) = T(x,L(x,z,u) \ y).
T(x,a(y,z,x) * u) = T(x,u).
T(x,y) = T(x,a(z,u,x) * y).
a(a(x,y,z),u,T(z,w)) = 1.
T(a(x,y,z) * u,L(z,u,a(x,y,z))) = a(x,y,z) * (1 * T(u,z)).
a(x,y,z) * (1 * T(u,z)) = T(a(x,y,z) * u,L(z,u,a(x,y,z))).
(a(x,y,T(z,u)) * u) \ (a(x,y,T(z,u)) * (z * u)) = T(z,u).
L(T(x,y),z,a(u,w,x)) = T(x,y).
a(a(x,y,z),u,z) = 1.
L(x,y,a(z,u,x)) = x.
x \ (x * ((a(y,z,x) * u) / a(y,z,x))) = T((x * u) / x,L(x,z,y)).
(x * y) * (z \ R(z,u,x)) = x * (y * (z \ R(z,u,x))).
x * (y * (z \ R(z,u,x))) = (x * y) * (z \ R(z,u,x)).
K(x,R(y,z,a(u,w,T(y,x)))) * T(y,x) = R(y,z,a(u,w,T(y,x))).
K(x,R(y,z,a(u,w,T(y,x)))) = K(x,T(y,x)).
K(x,T(y,x)) = K(x,R(y,z,a(u,w,T(y,x)))).
R(x,y,z \ R(z,u,x)) = x.
x \ (y * (x * a(z,u,x))) = T(y,x) * a(z,u,x).
(x * (y * a(z,u,x))) / x = (x * y) / L(x,u,z).
R(x,y,a(z,u,x)) = x.
a(x,y,L(x,z,u)) \ x = L(x,y,x).
L(x,y,x) = a(x,y,L(x,z,u)) \ x.
((L(K(x,y),z,u) * T(1,K(x,y))) / T(x,y)) * x = K(x,y) \ L(K(x,y),z,u).
a(x,y,(z * u) / z) = a(x,y,z * (u / z)).
a(x,y,z * (u / z)) = a(x,y,(z * u) / z).
K(x,L(y,T(y,x),z * K(T(y,x),z))) = K(x,L(T(y,x),T(y,x),z)).
K(x,L(T(y,x),T(y,x),z)) = K(x,L(y,T(y,x),z * K(T(y,x),z))).
L(x,x,y * K(x,y)) = L(x,x,y).
L(x,x,y) = L(x,x,y * K(x,y)).
L(x,x,y / x) = L(x,x,x \ y).
L(x,x,x \ y) = L(x,x,y / x).
L(x,x,T(y,x)) = L(x,x,y).
L(x,x,y) = L(x,x,T(y,x)).
L(x,x,T(y,x)) = a(y,x,x) \ x.
a(T(x,y),y,y) = a(x,y,y).
L(x / (x / y),z,u) \ x = (x / y) * a(u,z,y).
(a(x,y,z) * u) * z = a(x,y,z) * (u * z).
a(x,y,z) * (u * z) = (a(x,y,z) * u) * z.
a(T(x,y),y,y) = x \ R(x,y,y).
x \ R(x,y,y) = a(x,y,y).
a(x,y,y) = x \ R(x,y,y).
R(a(x,y,z),u,z) = a(x,y,z).
a(x,y,z) = R(a(x,y,z),u,z).
a(x,y,L(R(z,u,L(z,w,v5)),w,v5)) = a(x,y,L(z,w,v5)).
(x * y) / a(z,u,x) = x * (y / a(z,u,x)).
(x * y) * a(z,u,x) = x * (y * a(z,u,x)).
L(T(x,a(y,z,L(x,u,x)) \ u),u,x) = (a(y,z,x) \ u) \ ((L(x,z,y) * (u * x)) / x).
(a(x,y,z) \ u) \ ((L(z,y,x) * (u * z)) / z) = L(T(z,a(x,y,L(z,u,z)) \ u),u,z).
a(x,y,R(z,u,z)) = a(x,y,z).
a(x,y,z) = a(x,y,R(z,u,z)).
L(a(x,y,z),u,z) = a(x,y,z).
a(x,y,z) = L(a(x,y,z),u,z).
a(x,y,z) * L(L(z,u,z),y,x) = L(z,u,z).
a(x,y,L(z,u,z)) = a(x,y,z).
(a(x,y,z) \ u) \ ((L(z,y,x) * (u * z)) / z) = T(z,L(z,y,x) * T(u,z)).
(a(x,y,z) \ u) * z = L(z,y,x) * T(u,z).
x * a(y,(y / x) \ 1,x \ y) = T(y * (1 / (y / x)),y / x).
L(x / y,z,u) \ x = y * a(u,z,y \ x).
a(x,y,z * ((z \ u) / z)) = a(x,y,u / z).
a(x,y,z / u) = a(x,y,u * ((u \ z) / u)).
x * y != y * a(z,u,w) | x = a(z,u,y * (w / y)).
a(x,y,z \ ((1 / u) \ z)) = a(x,y,T(u,z)).
a(x,y,T(z,u)) = a(x,y,u \ ((1 / z) \ u)).
T(a(x,y,z),u * (a(w,u,u \ 1) * z)) = a(x,y,T(z,1 / ((w * u) \ w))).
T(a(x,y,z),u * (a(w,v5,v6) * z)) = a(x,y,T(z,u * a(w,v5,v6))).
T(T(a(x,y,z),u),w * z) = T(a(x,y,T(z,w)),u).
T(a(x,y,T(z,u)),w) = T(T(a(x,y,z),w),u * z).
K(x,y) * T(y,T(y,z) * x) = a(y,x,T(y,z)) \ y.
T(a(x,y,z),u * z) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = T(a(x,y,z),u * z).
T(a(x,y,T(x,z)),T(x,T(x,z) * y) * u) = a(T(x,z),y,T(T(x,y),u)).
a(T(x,y),z,T(x,z)) = a(x,z,T(x,y)).
(T(x,x * y) * z) \ (T(x,y) * z) = a(x,y,T(x,z)).
a(x,y,T(z,u * z)) = a(x,y,T(z,u)).
a(x,y,T((z * u) / z,z * u)) = a(x,y,u).
a(x,y,T(z,(z \ u) * a(w,v5,v5 \ 1))) = (a(w,v5,v5 \ 1) \ a(x,y,T(z,u))) * a(w,v5,v5 \ 1).
(L(x,y,z) * T(u,x)) / x = a(z,y,x) \ u.
K(x,y) / a(z,u,K(x,w)) = a(z,u,K(x,w)) \ K(x,y).
x / a(y,z,T(x \ u,w)) = a(y,z,T(u / x,w)) \ x.
a(x,y,T(T(x,y),z)) = a(x,y,T(x,z)).
a(x,y,T(x,z)) = a(x,y,T(T(x,y),z)).
a(x,y,T(z,u)) \ T(a(x,y,z) * u,T(z,u)) = T(u,z * a(x,y,z)).
a(x,y,z / u) * u = u * a(x,y,u \ z).
x * a(y,z,x \ u) = a(y,z,u / x) * x.
((x * y) * a(z,u,T(w,y))) / (a(z,u,w) * y) = R(x,y,a(z,u,T(w,y))).
R(x,y,a(z,u,T(w,y))) = ((x * y) * a(z,u,T(w,y))) / (a(z,u,w) * y).
a(x,y,T(T(z,u),u \ 1)) = a(x,y,z).
a(x,y,T(z,(z \ u) * a(w,v5,v5 \ 1))) = a(x,y,T(z,u * a(w,v5,v5 \ 1))).
K(a(x,y,T(z,u)),w \ 1) = K(T(w,u),a(x,y,z)).
a(x,y,R(z \ T(u,z \ 1),w,v5)) = a(x,y,T(R(z \ u,w,v5),z \ 1)).
((x / y) * (T(z * y,z) / z)) / L(a(z,y,T(z,x)),y,x / y) = T(x,L(a(z,y,z),y,x / y)).
(T(x * y,x) / x) / L(a(x,y,T(x,z)),K(z,a(x,y,x)),y) = y * K(z,a(x,y,x)).
(x * K(y,y \ z)) * ((y \ z) * y) = x * (z * a(x,K(y,y \ z),T(z,y))).
a(x,y,T(z,u)) * (z * w) = z * (T(a(x,y,z),u) * w).
a(x,y,T(z \ 1,u)) \ (z * a(x,y,z \ 1)) = K(u,a(x,y,z \ 1)) * z.
a(x,y,T(R(T(z,u \ 1),w,v5),u)) = a(x,y,R(z,w,v5)).
a(x,y,T(z,(x * (y * z)) \ z)) = x \ R(x,y,z).
a(x,y,T(z,x \ z)) = a(x,y,z).
x * T(y \ L(y,z,u),w) = x / a(u,z,T(y,w)).
T(a(x,y,T(z,u)),z * w) = T(a(x,y,T(z,w)),u).
a(x,y,T(z,u)) * (u \ w) = (a(x,y,z) \ u) \ w.
K(a(x,y,T(z,u)),w) = T(K(a(x,y,z),w),u).
a(x,y,T(z,z * u)) = a(x,y,T(z,u)).
a(x,y,T(z / u,z)) = a(x,y,u \ z).
(a(x,y,z) \ u) \ u = a(x,y,T(z,u)).
x / a(y,z,T(u,x)) = a(y,z,u) \ x.
R(x,y,x) * K(a(x,y,x),z) = x * a(x,y,T(x,z)).
a(x,y,T(T(x,y),z)) = T(a(x,y,x),z).
a(x,y,T(z * K(x * y,z),u)) = T(x \ R(x,y,z),u).
(1 / x) * a(y,z,T(u,x \ 1)) = a(y,z,u) * (1 / x).
(x / a(y,z,T(u,w))) * a(y,z,u) = x * K(w,a(y,z,u)).
a(x,y,T(z,u)) \ a(x,y,z) = K(u,a(x,y,z)).
(a(x,y,z) * u) \ (u * w) = a(x,y,T(z,u)) \ w.
T(a(x,y,z) * u,u) = a(x,y,T(z,u)) * u.
L(a(x,y,T(z,u)),u,x) = T(a(x,y,z),x * u).
(x * y) * a(z,u,T(y,w)) = x * (y * T(a(z,u,y),w)).
(x \ y) \ (L(x,z,u) \ y) = a(u,z,T(x,x \ y)).
K(a(x,y,z),u) * a(x,y,z) = a(x,y,T(z,u)).
a(x,y,z) \ a(x,y,T(z,u)) = K(a(x,y,z),u).
x * a(y,z,T(u,x)) = a(y,z,u) * x.
a(x,y,T(z,z \ u)) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = T(a(x,y,z),u).
T(a(x,y,z),u) = a(x,y,T(z,u)).
x / T(a(y,z,u) \ 1,w) = x * a(y,z,T(u,w)).
a(x,y,T(z,u)) \ 1 = T(a(x,y,z) \ 1,u).
T(a(x,y,z) \ 1,u) = a(x,y,T(z,u)) \ 1.
(x \ 1) / (x \ a(x,y,T(z,u))) = T(a(x,y,z) \ 1,u).
x \ a(x,y,T(z,u)) = x \ T(a(x,y,z),u).
K(T(x,a(y,z,u)),w) = T(K(x,w),a(y,z,u)).
(x * (y * K(z,a(u,w,y)))) * 1 = (x * y) * K(z,a(u,w,y)).
K(x * K(x,a(y,z,u)),w) = T(K(x,w),a(y,z,u)).
K(T(a(x,y,z),u),w \ 1) = K(T(w,u),a(x,y,z)).
T(1 / (1 / (x \ 1)),a(y,z,u)) = 1 / (K(x,a(y,z,u)) / (x \ 1)).
a(x,y,K(z,a(u,w,y))) = 1.
a(x,y,z) * (x \ K(a(x,y,z),u)) = x \ a(x,y,T(z,u)).
K(a(x,y,z * K(x * y,z)),u) = K(u \ 1,x \ R(x,y,z)).
K(x \ 1,y \ R(y,z,u)) = K(a(y,z,u * K(y * z,u)),x).
K(a(x,y,z),u \ 1) = K(u,a(x,y,z)).
K(x \ 1,a(y,z,u)) = K(a(y,z,u),x).
K(a(x,y,z),u) = K(u \ 1,a(x,y,z)).
(a(x,y,z) \ (u \ 1)) / (u \ (a(x,y,z) \ 1)) = K(a(x,y,z),u).
(a(x,y,z) \ (u \ 1)) / ((a(x,y,z) * u) \ 1) = K(a(x,y,z),u).
(a(x,y,z) \ (u \ 1)) / (a(x,y,z) \ (u \ K(u,a(x,y,z)))) = K(a(x,y,z),u).
(a(x,y,z) \ (u \ 1)) / ((u * a(x,y,z)) \ K(u,a(x,y,z))) = K(a(x,y,z),u).
(a(x,y,z) \ (u \ 1)) / ((u * a(x,y,z)) \ K(u * a(x,y,z),a(x,y,z))) = K(a(x,y,z),u).
(((x * y) / x) \ 1) * K(x,y) = y \ 1.
(((x * y) / x) \ 1) * K(x,y) = T((x * y) / x,x) \ 1.
T((x * y) / x,x) \ 1 = (((x * y) / x) \ 1) * K(x,y).
T((x * y) / x,y \ (y * x)) \ 1 = (((x * y) / x) \ 1) * K(x,y).
((x * a(y,z,u)) \ 1) / ((x * a(y,z,u)) \ K(x * a(y,z,u),a(y,z,u))) = K(a(y,z,u),x).
(x \ 1) / (x \ K(x,y)) = K(y,x).
K(x,y) \ (y \ 1) = y \ K(y,x).
(x * K(y,x)) \ 1 = K(y,x) \ (x \ 1).
K(x,y) \ (y \ 1) = (y * K(x,y)) \ 1.
K(x * K(y,x \ 1),z) = T(K(x,z),y).
K(x * K(y,1 / x),z) = T(K(x,z),y).
((((x * y) / x) \ 1) * K(x,y)) \ T(((x * y) / x) \ 1,z) = (1 / y) \ T(1 / ((x * y) / x),z).
(1 / x) \ T(1 / ((y * x) / y),z) = ((((y * x) / y) \ 1) * K(y,x)) \ T(((y * x) / y) \ 1,z).
(1 / ((x * y) / x)) * K(x,y) = 1 / y.
(K(x,y) / x) * K(y,x) = 1 / x.
(K(x,y) / x) * K(y,x * K(y,x)) = 1 / x.
R((1 / (x / y)) \ 1,1 / (x / y),K(y,y \ x)) = T(K(y,y \ x) / (1 / (y \ x)),1 / (x / y)).
T(K(x,x \ y) / (1 / (x \ y)),1 / (y / x)) = R((1 / (y / x)) \ 1,1 / (y / x),K(x,x \ y)).
(1 / (x / y)) * K(y,y \ x) = 1 / (y \ x).
K(x,y * K(x,y)) \ (y \ 1) = (y * K(x,y)) \ 1.
K(x,y) \ (T(y,x) \ 1) = y \ 1.
T((x * y) / x,(y * x) / y) \ 1 = (((x * y) / x) \ 1) * K(x,y).
(((x * y) / x) \ 1) * K(x,y) = T((x * y) / x,(y * x) / y) \ 1.
K(x,y) = (T(y,x) \ 1) / (y \ 1).
(T(x,y) \ 1) / (x \ 1) = K(y,x).
K(((1 / x) \ 1) * K(y,1 / x),z) = T(K(x,z),y).
(T(x,y) \ 1) * ((z * ((T(x,y) \ 1) \ ((x \ 1) \ (T(x,y) \ 1)))) / z) = K(z,(x \ 1) \ 1) * K(y,x).
K(x,(y \ 1) \ 1) * K(z,y) = (T(y,z) \ 1) * ((x * ((T(y,z) \ 1) \ ((y \ 1) \ (T(y,z) \ 1)))) / x).
(x \ 1) * K(y,x) = T(x,y) \ 1.
K(x,y) = (y \ 1) \ (T(y,x) \ 1).
(1 / (x * K(y,x))) * K(y,x * K(y,x)) = 1 / x.
(1 / (x / y)) * K(y,x / y) = 1 / (y \ x).
K(x,y) = (1 / y) \ (1 / T(y,x)).
(1 / x) \ (1 / T(x,y)) = K(y,x).
(1 / x) * K(y,x) = 1 / T(x,y).
1 / T(x,y) = (1 / x) * K(y,x).
K(x,y) * (1 / y) = 1 / T(y,x).
K(x,y) \ (1 / T(y,x)) = 1 / y.
1 / x = K(y,x) \ (1 / T(x,y)).
L(x \ 1,x,x \ K(y,x)) = 1 / x.
a(x,x \ 1,K(y,x)) = 1.
a(x,x \ 1,K(y,x)) = T(x,x \ 1) / T(x,x \ 1).
T(x,x \ 1) / T(x,x \ 1) = a(x,x \ 1,K(y,x)).
T(x,x \ 1) / ((K(y,x) \ (x \ K(y,x))) \ 1) = a(x,x \ 1,K(y,x)).
((x * y) * (z * ((u \ w) * (w \ u)))) / (y * (z * ((u \ w) * (w \ u)))) = R(R(x,y,z),y * z,(u \ w) * (w \ u)).
(x * (K(y \ 1,y) * (z * u))) \ ((x * (K(y \ 1,y) * z)) * u) = a(x * K(y \ 1,y),L(z,K(y \ 1,y),x),u).
x / (T(y,x) * (1 / (T(x,y) \ y))) = (y \ T(x,y)) * (x \ T(y,x)).
R((x * y) \ z,(x \ z) \ y,y \ (x \ z)) = (((x * y) \ z) \ 1) \ 1.
x / ((x * (T(x,y) \ y)) * (1 / (T(x,y) \ y))) = (y \ T(x,y)) * (x \ T(y,x)).
(x * ((y \ z) \ 1)) * (y \ z) = (x * (z \ y)) * (1 / (z \ y)).
R(x,y \ z,z \ y) * K(y \ z,z \ y) = (x * ((z \ y) \ 1)) * (z \ y).
R((x * y) \ z,(x \ z) \ y,y \ (x \ z)) = L(((y \ (x \ z)) \ 1) \ 1,y,x).
R(x,(y \ z) \ 1,y \ z) = R(x,z \ y,y \ z).
R(x,y \ z,z \ y) = R(x,(z \ y) \ 1,z \ y).
R(x,(y * z) \ y,z) = R(x,z \ 1,z).
R(x,(y * z) \ y,z) = (x * (z \ 1)) * ((z \ 1) \ 1).
(x * ((y * z) \ y)) * (L(z \ 1,z,y) \ 1) = R(x,(y * z) \ y,z).
(x * ((y * z) \ y)) * (z * a(y * z,z \ 1,z)) = R(x,(y * z) \ y,z).
(x * ((y * z) \ y)) * (z * a(y * z,z \ 1,z)) = R(x,(y * z) \ y,1 / (z \ 1)).
R(x,(y * z) \ y,1 / (z \ 1)) = (x * ((y * z) \ y)) * (z * a(y * z,z \ 1,z)).
((x * ((y * z) \ y)) * z) * a(y * z,z \ 1,z) = R(x,(y * z) \ y,1 / (z \ 1)).
R(x,(y * z) \ y,1 / (z \ 1)) = ((x * ((y * z) \ y)) * z) * a(y * z,z \ 1,z).
((x * ((y * z) \ y)) * z) / (L(z \ 1,z,y) * z) = R(x,(y * z) \ y,1 / (z \ 1)).
((x * ((y * z) \ y)) * z) / (L(z \ 1,z,y) * (1 / (z \ 1))) = R(x,(y * z) \ y,1 / (z \ 1)).
((x * ((y * z) \ y)) * z) / (L(((z \ 1) \ 1) \ 1,z,y) / (z \ 1)) = R(x,(y * z) \ y,1 / (z \ 1)).
T(x,L((y / x) \ 1,z,u) \ 1) = T(x,L(x / y,z,u) \ 1).
R(L(x / y,z,u) \ 1,x / y,y) = L((y / x) \ 1,z,u) \ 1.
R(L(x / y,z,u) \ 1,x / y,y) = (a(u,z,x / y) \ ((y / x) \ 1)) \ 1.
R(L(x / y,z,u) \ 1,x / y,y) = (((y / x) * a(u,z,x / y)) \ 1) \ 1.
R(L(x / y,z,u) \ 1,x / y,y) = (((a(u,z,x / y) * y) / x) \ 1) \ 1.
R(L(x / y,z,u) \ 1,x / y,(x / y) \ x) = (((a(u,z,x / y) * y) / x) \ 1) \ 1.
(((a(x,y,z / u) * u) / z) \ 1) \ 1 = R(L(z / u,y,x) \ 1,z / u,(z / u) \ z).
R(L(x / y,z,u) \ 1,L(x / y,z,u),L(x / y,z,u) \ x) = (((a(u,z,x / y) * y) / x) \ 1) \ 1.
K(x \ 1,L(x,y,z)) = K(x \ 1,x).
K(x \ 1,x) = K(x \ 1,L(x,y,z)).
K(x \ 1,L(x,y,z)) = K(x \ 1,x) * 1.
K(x \ 1,L(x,y,z)) = K(x,x \ 1) \ 1.
K(x,x \ 1) \ 1 = K(x \ 1,L(x,y,z)).
K(L(x,y,z),x \ 1) = K(x,x \ 1).
K(L(x,y,z),x \ 1) = (1 / (1 / x)) \ x.
(1 / (1 / x)) \ x = K(L(x,y,z),x \ 1).
(1 / (1 / x)) \ (L(x,y,z) * a(z,y,x)) = K(L(x,y,z),x \ 1).
(1 / (1 / x)) \ (L(x,y,z) / (L(x,y,z) / x)) = K(L(x,y,z),x \ 1).
(1 / (1 / x)) \ (L(x,y,z) / (L(x,y,z) / x)) = a(x,x \ 1,L(x,y,z)).
(1 / (1 / x)) \ (L(x,y,z) / (L(x,y,z) / x)) = (L(x,y,z) / (L(x,y,z) / x)) * (1 / x).
(L(x,y,z) / (L(x,y,z) / x)) * (1 / x) = (1 / (1 / x)) \ (L(x,y,z) / (L(x,y,z) / x)).
(a(x \ 1,x,y) \ R((1 / x) \ y,z,u)) / (x * y) = y \ (x \ R(x * y,z,u)).
(a(x \ 1,x,y) \ R((1 / x) \ y,z,u)) / (x * y) = y \ ((1 / x) * R((1 / x) \ y,z,u)).
(a(x \ 1,x,y) \ R((1 / x) \ y,z,u)) / (x * y) = ((1 / x) \ y) \ R((1 / x) \ y,z,u).
R((1 / x) \ y,z,u) / a(x \ 1,x,y) = a(x \ 1,x,y) \ R((1 / x) \ y,z,u).
(a(x \ 1,x,y) \ 1) * R((1 / x) \ y,z,u) = R((1 / x) \ y,z,u) / a(x \ 1,x,y).
(a(x \ 1,x,y) \ 1) * R(a(x \ 1,x,y) * (x * y),z,u) = R((1 / x) \ y,z,u) / a(x \ 1,x,y).
K(((x \ y) \ 1) \ x,x \ ((x \ y) \ 1)) = a(x / ((x \ y) \ 1),y \ 1,y).
a(x / ((x \ y) \ 1),y \ 1,y) = K(((x \ y) \ 1) \ x,x \ ((x \ y) \ 1)).
K(x / ((x \ y) \ 1),(x / ((x \ y) \ 1)) \ 1) = a(x / ((x \ y) \ 1),y \ 1,y).
a(x / ((x \ y) \ 1),y \ 1,y) = (x / ((x \ y) \ 1)) * (1 / (x / ((x \ y) \ 1))).
(x / ((x \ y) \ 1)) * (1 / (x / ((x \ y) \ 1))) = a(x / ((x \ y) \ 1),y \ 1,y).
(x / ((x \ y) \ 1)) * (1 / (((x \ y) * (y \ x)) * y)) = a(x / ((x \ y) \ 1),y \ 1,y).
(x / ((x \ y) \ 1)) * ((1 / y) / ((x \ y) * (y \ x))) = a(x / ((x \ y) \ 1),y \ 1,y).
a(x / ((x \ y) \ 1),y \ 1,y) = (x / ((x \ y) \ 1)) * ((1 / y) / ((x \ y) * (y \ x))).
(1 / x) / ((y / ((y \ x) \ 1)) \ ((y \ x) * (x \ y))) = a(y / ((y \ x) \ 1),x \ 1,x).
((x / ((x \ y) \ 1)) * (1 / y)) / ((x \ y) * (y \ x)) = a(x / ((x \ y) \ 1),y \ 1,y).
(x * ((y \ x) * (x \ y))) \ ((y \ x) * (x \ y)) = T(1 / x,y / ((y \ x) \ 1)).
T(1 / x,y / ((y \ x) \ 1)) = (x * ((y \ x) * (x \ y))) \ ((y \ x) * (x \ y)).
(x / ((x \ y) \ 1)) / y = (x \ y) * (y \ x).
((x \ y) * (y \ x)) * y = x / ((x \ y) \ 1).
x * ((y \ x) * (x \ y)) = y / ((y \ x) \ 1).
(x / (1 / (x \ y))) * K(x \ y,y \ x) = y * ((x \ y) * (y \ x)).
x * ((y \ x) * (x \ y)) = (y / (1 / (y \ x))) * K(y \ x,x \ y).
L(x \ 1,x,x \ K(y,x)) = a(x,x \ 1,K(y,x)) / x.
a(x,x \ 1,K(y,x)) / x = L(x \ 1,x,x \ K(y,x)).
(x * (K(y,x) \ (x \ K(y,x)))) / x = L(x \ 1,x,x \ K(y,x)).
L(x \ 1,T(x,x \ 1),x \ K(y,x)) = (x * (K(y,x) \ (x \ K(y,x)))) / x.
L(1 / T(x,x \ 1),T(x,x \ 1),x \ K(y,x)) = (x * (K(y,x) \ (x \ K(y,x)))) / x.
a(x,y,T(z,(z \ u) * a(w,v5,v5 \ 1))) = (a(w,v5,v5 \ 1) \ ((a(x,y,z) \ u) \ u)) * a(w,v5,v5 \ 1).
a(x,y,T(z,(z \ u) * a(w,v5,v5 \ 1))) = (((a(x,y,z) \ u) * a(w,v5,v5 \ 1)) \ u) * a(w,v5,v5 \ 1).
a(x,y,T(z,(z \ u) * a(w,v5,v5 \ 1))) = ((a(x,y,z) \ u) * a(w,v5,v5 \ 1)) \ (u * a(w,v5,v5 \ 1)).
((a(x,y,z) \ u) * a(w,v5,v5 \ 1)) \ (u * a(w,v5,v5 \ 1)) = a(x,y,T(z,(z \ u) * a(w,v5,v5 \ 1))).
(a(x \ 1,x,y) \ 1) * R((1 / a(x \ 1,x,y)) \ (x * y),z,u) = R((1 / x) \ y,z,u) / a(x \ 1,x,y).
L(x,K(y \ 1,y) * z,u) = L(x,z,u * K(y \ 1,y)).
L(L(x,y,K(z \ 1,z)),K(z \ 1,z) * y,u) = L(x,y,u * K(z \ 1,z)).
L(L(x,y,K(z \ 1,z)),K(z \ 1,z) * y,u) = L(x,L(y,K(z \ 1,z),u),u * K(z \ 1,z)).
L(x,L(y,K(z \ 1,z),u),u * K(z \ 1,z)) = L(L(x,y,K(z \ 1,z)),K(z \ 1,z) * y,u).
R(x,(1 / y) * z,u) = R(x,(y \ 1) * z,u).
R(x,(y \ 1) * z,u) = R(x,(1 / y) * z,u).
R(x,K(y \ 1,y) * z,u) = R(x,z,u).
R(x,y,z) = R(x,K(u \ 1,u) * y,z).
R(x,K(y \ 1,y) * z,u * K(y,y \ 1)) = R(x,z,u).
R(x,K(y \ 1,y) * z,u) = R(x,z,K(y \ 1,y) * u).
R(x,y,K(z \ 1,z) * u) = R(x,K(z \ 1,z) * y,u).
R(x,K(y,y \ 1) * z,K(y \ 1,y) * u) = R(x,z,u).
R(x,K(y,y \ 1) * z,u) = R(x,z,K(y,y \ 1) * u).
R(R(x,y,K(z,z \ 1)),K(z,z \ 1) * y,u) = R(x,y,K(z,z \ 1) * u).
R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u) = R(x,y,K(z,z \ 1) * u).
R(x,y,K(z,z \ 1) * u) = R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u).
x / ((y / (y * z)) \ (z \ K(z,y))) = x * ((z * K(y,z)) * (y / (y * z))).
1 / ((x * K(y,x)) * (y / (y * x))) = (y / (y * x)) \ (x \ K(x,y)).
(x / (x * y)) \ (y \ K(y,x)) = 1 / ((y * K(x,y)) * (x / (x * y))).
(x * y) \ ((1 / (y / (y * x))) * ((x * y) / x)) = (y / (y * x)) \ (x \ K(x,y)).
(x * y) \ ((1 / (((x * y) / x) / (x * y))) * ((x * y) / x)) = (y / (y * x)) \ (x \ K(x,y)).
(x * y) \ ((1 / (((x * y) / x) / (x * y))) * ((x * y) / x)) = (y / (y * x)) \ ((x * K(y,x)) \ 1).
x / (1 / ((y * K(z,y)) * (z / (z * y)))) = x * ((y * K(z,y)) * (z / (z * y))).
x * ((y * K(z,y)) * (z / (z * y))) = x / (1 / ((y * K(z,y)) * (z / (z * y)))).
x * ((y * K(z,y)) * (((y * z) / y) / (y * z))) = x / (1 / ((y * K(z,y)) * (z / (z * y)))).
x * (((y * z) / ((y * z) / y)) * (((y * z) / y) / (y * z))) = x / (1 / ((y * K(z,y)) * (z / (z * y)))).
x / (1 / ((y * K(z,y)) * (z / (z * y)))) = x * (((y * z) / ((y * z) / y)) * (((y * z) / y) / (y * z))).
(x * y) \ ((1 / (((x * y) / x) / (x * y))) * ((x * y) / x)) = 1 / ((x * K(y,x)) * (y / (y * x))).
K(x,a(y,z,u \ 1)) * u != u * w | a(y,z,u \ 1) \ a(y,z,x / (x * u)) = w.
x * (a(y,z,x \ 1) \ a(y,z,u / (u * x))) = K(u,a(y,z,x \ 1)) * x.
K(x,a(y,z,u \ 1)) * u = u * (a(y,z,u \ 1) \ a(y,z,x / (x * u))).
(a(x,y,z \ 1) \ z) * a(x,y,u / (u * z)) = K(u,a(x,y,z \ 1)) * z.
K(x,a(y,z,u \ 1)) * u = (a(y,z,u \ 1) \ u) * a(y,z,x / (x * u)).
a(x,y,z \ 1) \ (z * a(x,y,u / (u * z))) = K(u,a(x,y,z \ 1)) * z.
a(x,y,z \ 1) \ (z * a(x,y,u / (u / (z \ 1)))) = K(u,a(x,y,z \ 1)) * z.
a(x,y,z \ 1) \ (z * ((u * a(x,y,z \ 1)) / u)) = K(u,a(x,y,z \ 1)) * z.
L(1 / x,y,z) * (u \ (L(1 / x,y,z) \ u)) = L(x \ 1,y,z) * (u \ (L(x \ 1,y,z) \ u)).
(L(x \ 1,y,z) * (u * (L(x \ 1,y,z) \ 1))) \ u = L(1 / x,y,z) * (u \ (L(1 / x,y,z) \ u)).
L(1 / x,y,z) * (u * (1 / L(x \ 1,y,z))) = L(x \ 1,y,z) * (u * (L(x \ 1,y,z) \ 1)).
L(K(a(x,y,z),u),T(u,a(x,y,z)),w * a(x,y,z)) = L(K(a(x,y,z),u),u * a(x,y,z),w).
L(K(a(x,y,z),u),u * a(x,y,z),w) = L(K(a(x,y,z),u),T(u,a(x,y,z)),w * a(x,y,z)).
K(x,y) * (((y * x) \ 1) \ 1) = ((y * x) \ 1) \ K(x,y).
((x * y) \ 1) \ K(y,x) = K(y,x) * (((x * y) \ 1) \ 1).
K(x,y) / (x * y) = 1 / (y * x).
(x * y) \ K(x * y,y \ (x \ 1)) = K(y,x) / (y * x).
(x * y) * K(y * x,x \ (y \ 1)) = ((y * x) \ 1) \ K(x,y).
(x * y) * (K(y,x) / (y * x)) = K(x * y,y \ (x \ 1)).
K(x * y,y \ (x \ 1)) = (x * y) * (K(y,x) / (y * x)).
a(x * y,(x * y) \ 1,y * x) = K(x * y,y \ (x \ 1)).
T(K(x * y,y \ (x \ 1)),z) = K(x * y,y \ (x \ 1)).
T(K(x * y,y \ (x \ 1)),z) = K(x * y,y \ (1 / x)).
T(K(x * y,y \ (x \ 1)),z) = K(((1 / x) \ 1) * y,y \ (1 / x)).
T(K(x * y,y \ (x \ 1)),z) = K((1 / (1 / x)) * y,y \ (1 / x)).
T(K(x * y,y \ (x \ 1)),z) = K((1 / (1 / x)) * y,y \ ((1 / (1 / x)) \ 1)).
T(K(x * y,y \ (x \ 1)),z) = K((1 / (1 / x)) * y,((1 / (1 / x)) * y) \ 1).
T(K(x * y,(x * y) \ 1),z) = K((1 / (1 / x)) * y,((1 / (1 / x)) * y) \ 1).
T(K(((1 / x) \ 1) * y,(x * y) \ 1),z) = K((1 / (1 / x)) * y,((1 / (1 / x)) * y) \ 1).
T(K((1 / (1 / x)) * y,(x * y) \ 1),z) = K((1 / (1 / x)) * y,((1 / (1 / x)) * y) \ 1).
(a(x,y,z / u) * u) / z = (u / z) * a(x,y,z / u).
(a(x,y,z / u) * u) / z = a(x,y,z / u) * (u / z).
a(x,y,z / u) * (u / z) = (a(x,y,z / u) * u) / z.
a(x,y,(z / u) \ 1) * (z / u) = (a(x,y,u / z) * z) / u.
(a(x,y,z / u) * u) / z = a(x,y,(u / z) \ 1) * (u / z).
T(x / (y \ 1),L(y,z,u) \ 1) = (y \ 1) \ T(x,a(u,z,y)).
(x \ 1) \ T(y,a(z,u,x)) = T(y / (x \ 1),L(x,u,z) \ 1).
(L(x,y,z) \ 1) \ (u * a(z,y,x)) = (x \ 1) \ T(u,a(z,y,x)).
(x \ 1) \ T(y,a(z,u,x)) = (L(x,u,z) \ 1) \ (y * a(z,u,x)).
(x \ 1) \ (a(y,z,x) \ u) = (L(x,z,y) \ 1) \ u.
(L(x,y,z) \ 1) \ u = (x \ 1) \ (a(z,y,x) \ u).
(a(x,y,(z / u) \ 1) * z) / u = a(x,y,(z / u) \ 1) * (z / u).
L(x,y,a(z,u,y \ 1)) = x.
x = L(x,y,a(z,u,y \ 1)).
(a(x,y,z) * (z \ 1)) \ u = (z \ 1) \ (a(x,y,z) \ u).
(x \ 1) \ (a(y,z,x) \ u) = (a(y,z,x) * (x \ 1)) \ u.
L(x,y \ 1,a(z,u,y)) = x.
L(x,y \ 1,a(z,u,y)) = L(x,y \ 1,y) * a(y,y \ 1,x).
L(x,y \ 1,a(z,u,y)) = L(x,y \ 1,y) * a(y,y \ 1,L(x,y \ 1,y)).
L(x,y \ 1,y) * a(y,y \ 1,L(x,y \ 1,y)) = L(x,y \ 1,a(z,u,y)).
L(x,y \ 1,y) * a(y,L(y,z,u) \ 1,L(x,y \ 1,y)) = L(x,y \ 1,a(u,z,y)).
(x * (K(y \ 1,y) * z)) \ (x * (K(y \ 1,y) * (z * u))) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)).
((x * y) * (K(z,z \ 1) * u)) / (y * (K(z,z \ 1) * u)) = R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u).
L(x,y,x) \ (T(x,x * y) * z) = T(x,x * y) * (L(x,y,x) \ z).
T(x,x * y) * (L(x,y,x) \ z) = L(x,y,x) \ (T(x,x * y) * z).
T(x,x * y) * ((((x * (y * x)) / x) / y) \ z) = L(x,y,x) \ (T(x,x * y) * z).
L(x,y,x) \ (T(x,x * y) * z) = T(x,x * y) * ((((x * (y * x)) / x) / y) \ z).
(((x * (y * x)) / x) / y) \ (T(x,x * y) * z) = T(x,x * y) * ((((x * (y * x)) / x) / y) \ z).
(((x * (y * x)) / x) / y) \ (T(x,x * y) * z) = T(x,y * x) * ((((x * (y * x)) / x) / y) \ z).
(((x * (y * x)) / x) / y) \ (T(x,y * x) * z) = T(x,y * x) * ((((x * (y * x)) / x) / y) \ z).
T(x,y * x) * ((((x * (y * x)) / x) / y) \ z) = (((x * (y * x)) / x) / y) \ (T(x,y * x) * z).
L(K(x,y) \ z,K(x,y),L(x,y,x)) = L(x,y,x) * (T(x,x * y) \ z).
T(x,x * y) \ (L(x,y,x) * z) = L(x,y,x) * (T(x,x * y) \ z).
L(x,y,x) * (T(x,x * y) \ z) = T(x,x * y) \ (L(x,y,x) * z).
(((x * (y * x)) / x) / y) * (T(x,x * y) \ z) = T(x,x * y) \ (L(x,y,x) * z).
T(x,x * y) \ (L(x,y,x) * z) = (((x * (y * x)) / x) / y) * (T(x,x * y) \ z).
T(x,x * y) \ ((((x * (y * x)) / x) / y) * z) = (((x * (y * x)) / x) / y) * (T(x,x * y) \ z).
T(x,x * y) \ ((((x * (y * x)) / x) / y) * z) = (((x * (y * x)) / x) / y) * (T(x,y * x) \ z).
T(x,y * x) \ ((((x * (y * x)) / x) / y) * z) = (((x * (y * x)) / x) / y) * (T(x,y * x) \ z).
(((x * (y * x)) / x) / y) * (T(x,y * x) \ z) = T(x,y * x) \ ((((x * (y * x)) / x) / y) * z).
x / (T(y \ R(y,z,u),w) * x) = T(R(y,z,u) \ y,w).
x / ((T(R(y,z,u) \ y,w) \ 1) * x) = T(R(y,z,u) \ y,w).
x / (((R(y,z,u) \ y) \ K(w,R(y,z,u) \ y)) * x) = T(R(y,z,u) \ y,w).
L(x,x \ y,x) * (1 / (y \ L(x,x \ y,x))) = T(x,y) * (1 / (y \ T(x,y))).
x / ((T(y,x) \ x) * (x \ T(y,x))) = L(y,y \ x,y) * (1 / (x \ L(y,y \ x,y))).
L(x,y,z) \ L(u * ((x \ u) \ 1),y,z) = x \ (u * ((x \ u) \ 1)).
x \ (y * ((x \ y) \ 1)) = L(x,z,u) \ L(y * ((x \ y) \ 1),z,u).
a(L(x,y,z),x \ u,u \ x) = x \ (u * ((x \ u) \ 1)).
x \ (y * ((x \ y) \ 1)) = a(L(x,z,u),x \ y,y \ x).
R(T(R(x,y,z) \ x,u),T(x \ R(x,y,z),u),w) = w / (((R(x,y,z) \ x) \ K(u,R(x,y,z) \ x)) * w).
T(R(x,y,z) \ x,u) \ 1 = T(x \ R(x,y,z),u).
1 / T(R(x,y,z) \ x,u) = T(R(x,y,z) \ x,u) \ 1.
T(R(x,y,z) \ x,u) \ 1 = 1 / T(R(x,y,z) \ x,u).
1 / (1 / (R(x,y,z) \ x)) = R(x,y,z) \ x.
L(x \ y,y \ x,(y \ x) \ 1) = 1 / (1 / (x \ y)).
1 / (1 / (x \ y)) = L(x \ y,y \ x,(y \ x) \ 1).
a(L(x,y,z),(u \ x) \ 1,u \ x) = x \ (u * ((x \ u) \ 1)).
x / ((x / T(y,x)) * (x \ L(y,y \ x,y))) = L(y,y \ x,y) * (1 / (x \ L(y,y \ x,y))).
x / ((y \ x) * (x \ y)) = y * (1 / (x \ y)).
(x * (1 / (y \ x))) \ y = (x \ y) * (y \ x).
(x \ y) / ((x \ y) * (y \ x)) = 1 / (y \ x).
(x / (y \ z)) * ((y \ z) * (z \ y)) = x / (1 / (z \ y)).
x / (1 / (y \ z)) = (x / (z \ y)) * ((z \ y) * (y \ z)).
(1 / (x \ y)) / (y \ x) = y \ (x * ((y \ x) \ 1)).
(x \ y) / (1 / (y \ x)) = (x \ y) * (y \ x).
R(x,(x \ y) * (y \ x),K(y \ x,x \ y)) * ((y \ x) * (x \ y)) = (y / (1 / (y \ x))) * K(y \ x,x \ y).
((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x).
1 / (x \ y) = ((y \ x) * (x \ y)) \ (y \ x).
x * ((x \ y) * (y \ x)) = y / (1 / (y \ x)).
x / (1 / (x \ y)) = y * ((y \ x) * (x \ y)).
(x * ((x \ y) * (y \ x))) \ y = 1 / (y \ x).
a(x,x \ y,y \ z) * (z \ u) = (x * ((x \ y) * (y \ z))) \ u.
((x * ((x \ y) * (y \ z))) \ z) * (z \ u) = (x * ((x \ y) * (y \ z))) \ u.
(x * ((x \ y) * (y \ z))) \ u = ((x * ((x \ y) * (y \ z))) \ z) * (z \ u).
1 \ (R(x / (x / y),z,u) \ (x / (x / y))) = (x / (x * (R(y,z,u) \ y))) \ 1.
(x / (x * (R(y,z,u) \ y))) \ 1 = 1 \ (R(x / (x / y),z,u) \ (x / (x / y))).
x / (x * ((y * R(z,u,x)) / (y * z))) = (y * z) / (y * R(z,u,x)).
(x * y) / (x * R(y,z,u)) = u / (u * ((x * R(y,z,u)) / (x * y))).
R(x * K(y,x),z,u) \ (x * K(y,x)) = (y * x) / (y * R(x,z,u)).
(x * y) / (x * R(y,z,u)) = R(y * K(x,y),z,u) \ (y * K(x,y)).
1 \ (R(x * K(y,x),z,u) \ (x * K(y,x))) = (y * x) / (y * R(x,z,u)).
1 \ (R(x * K(y,x),z,u) \ (x * K(y,x))) = ((y * R(x,z,u)) / (y * x)) \ 1.
((x * R(y,z,u)) / (x * y)) \ 1 = 1 \ (R(y * K(x,y),z,u) \ (y * K(x,y))).
(R(x / (x / y),z,u) * (y \ K(y,y \ x))) \ 1 = 1 \ (R(x / (x / y),z,u) \ (x / (x / y))).
(R(x * K(y,x),z,u) * (x \ K(x,y))) \ 1 = 1 \ (R(x * K(y,x),z,u) \ (x * K(y,x))).
(R(x,y,z) * (x \ u)) \ 1 = u \ (R(x,y,z) \ x).
x \ (R(y,z,u) \ y) = (R(y,z,u) * (y \ x)) \ 1.
L((R(x,y,z) * (x \ u)) \ 1,R(x,y,z) * (x \ u),R(x,y,z) \ x) = u \ (R(x,y,z) \ x).
L((R(x,y,z) * (x \ u)) \ 1,R(x,y,z) * (x \ u),R(x,y,z) \ x) = u \ (1 * (R(x,y,z) \ x)).
L((R(x,y,z) * (x \ u)) \ 1,R(x,y,z) * (x \ u),R(x,y,z) \ x) = u \ (1 / (x \ R(x,y,z))).
L((R(x,y,z) * (x \ u)) \ 1,R(x,y,z) * (x \ u),(x \ R(x,y,z)) \ 1) = u \ (1 / (x \ R(x,y,z))).
(x * (1 / L(y,z,u))) * L(1 / (1 / y),z,u) = (x * (y \ 1)) * y.
(((x / (y \ 1)) / (x * a(z,u,y))) * (L(y,u,z) \ 1)) \ (x / (y \ 1)) = (1 / (L(y,u,z) \ 1)) * ((x / (y \ 1)) * (L(y,u,z) \ 1)).
L(x,y,z) * ((u / (x \ 1)) \ (L(x,y,z) \ (u / (x \ 1)))) = ((u / (x \ 1)) / (u * a(z,y,x))) * (L(x,y,z) \ 1).
((x / (y \ 1)) / (x * a(z,u,y))) * (L(y,u,z) \ 1) = L(y,u,z) * ((x / (y \ 1)) \ (L(y,u,z) \ (x / (y \ 1)))).
(L(x,y,z) \ 1) \ (u * a(z,y,x)) = T(u / (x \ 1),L(x,y,z) \ 1).
T(x / (y \ 1),L(y,z,u) \ 1) = (L(y,z,u) \ 1) \ (x * a(u,z,y)).
(x * (L(y,z,u) \ 1)) * L(y,z,u) = (x * (y \ 1)) * y.
(x * (y \ 1)) * y = (x * (L(y,z,u) \ 1)) * L(y,z,u).
(x / (y \ 1)) * (L(y,z,u) \ 1) = x * a(u,z,y).
x * a(y,z,u) = (x / (u \ 1)) * (L(u,z,y) \ 1).
(x * (L(y,z,u) \ 1)) / a(u,z,y) = x * (y \ 1).
x * (y \ 1) = (x * (L(y,z,u) \ 1)) / a(u,z,y).
(x * (y \ 1)) * a(z,u,y) = x * (L(y,u,z) \ 1).
(x * (L(y,z,u) \ 1)) * (a(u,z,y) \ 1) = x * (y \ 1).
(x * (L(y,z,u) \ 1)) * ((L(y,z,u) \ 1) \ (y \ 1)) = x * (y \ 1).
x * (y \ 1) = (x * (L(y,z,u) \ 1)) * ((L(y,z,u) \ 1) \ (y \ 1)).
R(x,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ (y \ 1)) = x.
R(x,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ (y \ 1)) = (x * (L(y,z,u) \ 1)) / (L(y,z,u) \ 1).
R(x,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ (y \ 1)) = ((x * (L(y,z,u) \ 1)) / a(u,z,y)) / (y \ 1).
((x * (L(y,z,u) \ 1)) / a(u,z,y)) / (y \ 1) = R(x,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ (y \ 1)).
R(a(x,y,T(x,R(x,z,u) * T(y,x))),x * z,u) = a(R(x,z,u),y,x).
R(T(a(x,y,x),R(x,z,u) * (y * x)),x * z,u) = a(R(x,z,u),y,x).
(((x / y) * (y / x)) * z) \ u = z \ (((x / y) * (y / x)) \ u).
x \ (((y / z) * (z / y)) \ u) = (((y / z) * (z / y)) * x) \ u.
((a(x \ 1,x,y) * z) * (u * w)) \ ((a(x \ 1,x,y) * (z * u)) * w) = a(a(x \ 1,x,y) * z,L(u,z,a(x \ 1,x,y)),w).
(a(x \ 1,x,y) * (z * u)) \ ((a(x \ 1,x,y) * z) * (u * w)) = L(w,L(u,z,a(x \ 1,x,y)),a(x \ 1,x,y) * z).
(a(x \ 1,x,y) * z) * u = a(x \ 1,x,y) * (z * u).
L(x,y,(z / u) * (u / z)) = x.
L(x,y,a(z \ 1,z,u)) = x.
L(x,y,a(z,z \ 1,u)) = x.
(a(x,x \ 1,y) * z) * u = a(x,x \ 1,y) * (z * u).
a(x,x \ 1,y) * (z * u) = (a(x,x \ 1,y) * z) * u.
R(a(x,x \ 1,y),z,u) = a(x,x \ 1,y).
R(a(x,x \ 1,y),x * z,u) = a(x,x \ 1,y).
T(R(a(x,y,x),x * z,u),R(x,z,u) * (y * x)) = a(R(x,z,u),y,x).
a(R(x,y,z),u,x) = T(R(a(x,u,x),x * y,z),R(x,y,z) * (u * x)).
R(x,y,z) \ R(R(x,y,z),u,x) = R(a(x,u,x),x * y,z).
R(x,y,z) \ R(R(x,y,z),x \ 1,u) = R(a(x,x \ 1,u),x * y,z).
((R(x,y,z) * u) * w) / ((x * u) * w) = R(x,u,w) \ R(R(x,u,w),y,z).
R(R(x,y,z) \ R(R(x,y,z),u,w),R(x,y,z),y * z) = ((R(x,u,w) * y) * z) / ((x * y) * z).
L((R(x,y,z) * (x \ u)) \ 1,(x \ R(x,y,z)) * u,(x \ R(x,y,z)) \ 1) = u \ (1 / (x \ R(x,y,z))).
((x \ 1) \ y) \ (x * (y * T(x * (y / (x * y)),z))) = K(a(x \ 1,x,y),z).
((x \ 1) \ y) * K(a(x \ 1,x,y),z) = x * (y * T(x * (y / (x * y)),z)).
((x \ 1) \ y) * K(x * (y / (x * y)),z) = x * (y * T(x * (y / (x * y)),z)).
((x \ 1) \ y) * K((x * (y / (x * y))) * 1,z) = x * (y * T(x * (y / (x * y)),z)).
(x \ (1 / (y / (x * y)))) \ z = (x * (y / (x * y))) * z.
(((x \ 1) \ y) \ (x * y)) \ z = (x * (y / (x * y))) * z.
(x * y) \ (((x \ 1) \ y) * z) = (x * (y / (x * y))) * z.
(x * (y / (x * y))) * z = (x * y) \ (((x \ 1) \ y) * z).
T(x * (y / (x * y)),x * y) * z = (x * y) \ (((x \ 1) \ y) * z).
(x * y) \ (((x \ 1) \ y) * z) = T(x * (y / (x * y)),x * y) * z.
R(x * y,x * (y / (x * y)),z) \ (((x \ 1) \ y) * z) = T(x * (y / (x * y)),x * y) * z.
L(x * K(a(y \ 1,y,x),z),y,y \ 1) = x * (z / (z * a(y \ 1,y,x))).
x * (y / (y * a(z \ 1,z,x))) = L(x * K(a(z \ 1,z,x),y),z,z \ 1).
(1 / x) * (x * (y * K(a(x \ 1,x,y),z))) = y * (z / (z * a(x \ 1,x,y))).
(1 / x) * (((1 / x) \ y) * (z / (z * a(x \ 1,x,y)))) = y * (z / (z * a(x \ 1,x,y))).
(1 / x) * (((1 / x) \ y) * (z / (z * a(x \ 1,x,y)))) = y * ((z / a(x \ 1,x,y)) / z).
(1 / x) * (((1 / x) \ y) * ((z / a(x \ 1,x,y)) / z)) = y * ((z / a(x \ 1,x,y)) / z).
(1 / x) * (((1 / x) \ y) * ((z / a(x \ 1,x,y)) / z)) = y * ((z * (y \ L(y,x,x \ 1))) / z).
(1 / x) * (((1 / x) \ y) * ((z / a(x \ 1,x,y)) / z)) = y * ((z * (y \ ((1 / x) * (x * y)))) / z).
((1 / x) \ y) * (z / (z * a(x \ 1,x,y))) = x * (y * K(a(x \ 1,x,y),z)).
x * (y * K(a(x \ 1,x,y),z)) = ((1 / x) \ y) * (z / (z * a(x \ 1,x,y))).
((1 / x) \ y) / a(x \ 1,x,z / (z / y)) = x * (y * K(a(x \ 1,x,y),z)).
((1 / x) \ y) / ((z * a(x \ 1,x,y)) / z) = x * (y * K(a(x \ 1,x,y),z)).
((1 / x) \ y) / ((z * a(x \ 1,x,y)) / z) = (x * y) * K(a(x \ 1,x,y),z).
((1 / x) \ y) / ((z * a(x \ 1,x,y)) / z) = (x * y) / K(z,a(x \ 1,x,y)).
a(x,y,R(z,z \ u,w)) \ 1 = R(a(x,y,z) \ 1,u,w).
R(a(x,y,z) \ 1,u,w) = a(x,y,R(z,z \ u,w)) \ 1.
R(a(x,y,z) \ 1,z * u,w) = a(x,y,R(z,u,w)) \ 1.
a(x,y,R(z,u,w)) \ 1 = R(a(x,y,z) \ 1,z * u,w).
((L(x,y,z) * u) * w) / ((x * u) * w) = a(z,y,R(x,u,w)) \ 1.
(L(R(x,y,z),u,w) * (y * z)) / ((x * y) * z) = a(w,u,R(x,y,z)) \ 1.
x \ L(y / ((T(y,x) \ x) * (x \ T(y,x))),y \ x,y) = (x / T(y,x)) \ 1.
x \ (L(y,y \ x,y) / ((T(y,x) \ x) * (x \ T(y,x)))) = (x / T(y,x)) \ 1.
(x \ y) / ((z \ u) * (u \ z)) = x \ (y / ((z \ u) * (u \ z))).
x \ (y / ((z \ u) * (u \ z))) = (x \ y) / ((z \ u) * (u \ z)).
(x \ y) * (z \ (u * ((z \ u) \ 1))) = x \ (y / ((z \ u) * (u \ z))).
x \ (y / ((z \ u) * (u \ z))) = (x \ y) * (z \ (u * ((z \ u) \ 1))).
x \ (x / (y * (z / (y * z)))) = y \ (1 / (z / (y * z))).
x * (y \ (1 / (z / (y * z)))) = x / (y * (z / (y * z))).
x * ((1 / (y / (z * y))) / z) = x / (z * (y / (z * y))).
x / (y * (z / (y * z))) = x * ((1 / (z / (y * z))) / y).
x / L(y * (z / (y * z)),y \ (1 / (z / (y * z))),x) = x * ((1 / (z / (y * z))) / y).
L((x * (y / (x * y))) \ z,((1 / (y / (x * y))) / x) \ 1,(1 / (y / (x * y))) / x) = 1 \ (((1 / (y / (x * y))) / x) * z).
x / L(y * (z / (y * z)),(1 / (z / (y * z))) / y,x) = x * ((1 / (z / (y * z))) / y).
(1 / (x / (y * x))) / y = y \ (1 / (x / (y * x))).
((1 / (x / (y * x))) / y) \ 1 = y * (x / (y * x)).
(1 / (x / (y * x))) / y = 1 / (y * (x / (y * x))).
(x * (1 / (y / (z * y)))) / z = x / (z * (y / (z * y))).
R(x / (y * (z / (y * z))),y * (z / (y * z)),1 / (z / (y * z))) = (x * (1 / (z / (y * z)))) / y.
a(x \ 1,x,(y * (x \ 1)) / y) = 1 / K(x,x \ 1).
1 / K(x,x \ 1) = a(x \ 1,x,(y * (x \ 1)) / y).
a(x \ 1,x,(y * (x \ 1)) / y) \ 1 = K(x,x \ 1).
((x * (y \ 1)) / x) \ ((x * (1 / y)) / x) = K(y,y \ 1).
((x * (y \ 1)) / x) \ ((x * (1 / y)) / x) = K(y \ 1,y) \ 1.
K(x \ 1,x) \ 1 = ((y * (x \ 1)) / y) \ ((y * (1 / x)) / y).
a((x * (1 / y)) / x,y,y \ 1) = K(y \ 1,y).
((x * (1 / y)) / x) \ ((x * (y \ 1)) / x) = K(y \ 1,y).
K(x \ 1,x) = ((y * (1 / x)) / y) \ ((y * (x \ 1)) / y).
((x * (1 / y)) / x) \ ((x * (y \ 1)) / x) = (y \ 1) * y.
(x \ 1) * x = ((y * (1 / x)) / y) \ ((y * (x \ 1)) / y).
(((x * (y \ 1)) / x) / (x \ T(x,y \ 1))) * y = ((x * (1 / y)) / x) \ ((x * (y \ 1)) / x).
(((x * (y \ 1)) / x) / (x \ T(x,1 / y))) * y = ((x * (1 / y)) / x) \ ((x * (y \ 1)) / x).
((x \ (y \ T(y,x \ 1))) / (y \ T(y,1 / x))) * x = ((y * (1 / x)) / y) \ ((y * (x \ 1)) / y).
((x \ (y \ T(y,1 / x))) / (y \ T(y,1 / x))) * x = ((y * (1 / x)) / y) \ ((y * (x \ 1)) / y).
L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))).
L(K((L(x,y,z) \ 1) \ 1,u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))).
L(K(x \ (x / (L(y,z,u) \ 1)),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * T(y,x))).
((x * (1 / (1 / y))) * R(1 / y,z,u)) / (y * R(y \ 1,z,u)) = R(x,y,R(1 / y,z,u)).
((x * (y / x)) * R(x,z,u)) / ((x * (y / x)) * x) = (y * R(x,z,u)) / (y * x).
((x * (y / x)) * R(x,z,u)) / ((x * (y / x)) * x) = (K(x,y) / x) * R(x * K(y,x),z,u).
(x \ L(y,y \ x,y)) / ((T(y,x) \ x) * (x \ T(y,x))) = (x / T(y,x)) \ 1.
(x \ L(y,y \ x,y)) / ((T(y,x) \ x) * (x \ T(y,x))) = (L(y,y \ x,y) \ x) \ 1.
(x / T(y,x)) * (x \ L(y,y \ x,y)) = (T(y,x) \ x) * (x \ T(y,x)).
(x / T(y,x)) * (x \ L(y,y \ x,y)) = (x * ((T(y,x) \ x) \ 1)) \ T(y,x).
(x * ((T(y,x) \ x) \ 1)) \ T(y,x) = (x / T(y,x)) * (x \ L(y,y \ x,y)).
((x * (y / x)) * ((y / T(x,y)) \ 1)) \ T(x,y) = (y / T(x,y)) * (y \ L(x,x \ y,x)).
(x * (y / x)) \ T(x,y) = y \ L(x,x \ y,x).
(x * (y / x)) \ T(x,x * (x \ y)) = y \ L(x,x \ y,x).
(x * (y / x)) \ L(T(x,x \ y),x \ y,x) = y \ L(x,x \ y,x).
(x * (y / x)) \ L(T(x,T(x,y) \ y),x \ y,x) = y \ L(x,x \ y,x).
(x * (y / x)) \ L(T(x,y / T(x,y)),x \ y,x) = y \ L(x,x \ y,x).
(x * (y / x)) \ T(L(x,x \ y,x),y / T(x,y)) = y \ L(x,x \ y,x).
(((x * y) / x) \ x) * y = (y \ x) * T(y,x).
(x \ y) * T(x,y) = (((y * x) / y) \ y) * x.
K(x \ y,x) * (y * K(x,y)) = (x \ y) * T(x,y).
(x \ y) * T(x,y) = K(x \ y,x) * (y * K(x,y)).
K(x \ y,x) * (y * K(x,y)) = ((x \ y) * T(x,y)) * 1.
((x \ y) * T(x,y)) * 1 = K(x \ y,x) * (y * K(x,y)).
((x \ y) * T(x,y)) * K(K(x \ y,x),y * K(x,y)) = K(x \ y,x) * (y * K(x,y)).
((x \ y) * T(x,y)) * K(K(x \ y,x),y * K(x,y)) = K(x \ y,x) * (T(x,y) * (x \ y)).
((x \ y) * T(x,y)) * K(K(x \ y,x),y * K(x,y)) = K(x \ y,T(x,y)) * (T(x,y) * (x \ y)).
((x \ y) \ y) / (((y / x) \ 1) * (x * (y / x))) = (y / x) * (x / y).
((x \ (y \ T(y,1 / x))) / (y \ T(y,1 / x))) * x = ((y * (1 / x)) / y) \ (x \ (y \ T(y,x \ 1))).
((x * a(y,z,u)) / x) \ w = K(a(y,z,u),x) * (a(y,z,u) \ w).
(x * K(y,a(z,u,w))) \ v5 = K(a(z,u,w),y) * (x \ v5).
(x * ((x \ y) / (K(a(z,u,w),v5) * (x \ y)))) \ y = K(a(z,u,w),v5) * (x \ y).
K((x \ 1) \ ((((1 / x) \ y) / y) \ 1),z) = K(y \ ((x \ 1) * (x * y)),z).
K((x \ 1) \ ((((1 / x) \ y) / y) \ 1),z) = K(y \ ((1 / x) * ((1 / (1 / x)) * y)),z).
K(x \ ((1 / y) * ((1 / (1 / y)) * x)),z) = K((y \ 1) \ ((((1 / y) \ x) / x) \ 1),z).
x \ (((x \ y) / y) \ 1) = y \ (x * ((1 / x) * y)).
x \ (y * ((1 / y) * x)) = y \ (((y \ x) / x) \ 1).
x / (((y \ x) / x) * y) = y * ((1 / y) * x).
(x * ((1 / x) * y)) \ y = ((x \ y) / y) * x.
((x \ y) / y) * x = (x * ((1 / x) * y)) \ y.
(((x * ((1 / x) * y)) \ y) / y) * y = ((x \ y) / y) * x.
(((x * ((1 / x) * y)) \ y) / y) * (x * (x \ y)) = ((x \ y) / y) * x.
(((x * ((1 / x) * y)) \ y) / y) * ((x * ((1 / x) * y)) * (((x \ y) / y) * x)) = ((x \ y) / y) * x.
T(x,y) / (x * (1 / (1 / y))) = R(1 / (1 / (1 / y)),y,x).
R(1 / (1 / (1 / x)),x,y) = T(y,x) / (y * (1 / (1 / x))).
R(K(x,x \ 1) / x,1 / (1 / x),y) = R(1 / (1 / (1 / x)),x,y).
R(1 / (1 / (1 / x)),x,y) = R(K(x,x \ 1) / x,1 / (1 / x),y).
R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)).
1 / (1 / R(1 / x,x,y)) = R(1 / (1 / (1 / x)),x,y).
R(K(x,x \ 1) / x,1 / (1 / x),y) = 1 / (1 / R(1 / x,x,y)).
R(1 / (1 / (1 / x)),1 / (1 / x),y) = 1 / (1 / R(1 / x,x,y)).
(K(x,x \ 1) / x) * a(x \ 1,x,y) = 1 / (1 / R(1 / x,x,y)).
1 / (1 / R(1 / x,x,y)) = (K(x,x \ 1) / x) * a(x \ 1,x,y).
K(x,x \ 1) / (a(x \ 1,x,y) \ x) = 1 / (1 / R(1 / x,x,y)).
K(R(1 / x,x,y) \ 1,R(1 / x,x,y)) = K(x,x \ 1).
x * (1 / a(y \ 1,y,z)) != (R(1 / y,y,z) \ 1) * (1 / y) | x = K(y,y \ 1).
K(x,x \ y) * ((((x \ y) * x) \ 1) \ 1) = y * K((x \ y) * x,x \ ((x \ y) \ 1)).
x * K((y \ x) * y,y \ ((y \ x) \ 1)) = K(y,y \ x) * ((((y \ x) * y) \ 1) \ 1).
(x * y) * K(y * x,x \ (y \ 1)) = K(x,y) * (((y * x) \ 1) \ 1).
K(x,y) * (((y * x) \ 1) \ 1) = (x * y) * K(y * x,x \ (y \ 1)).
K(x,y) * ((T(y * x,K(x,y)) \ 1) \ 1) = (x * y) * K(y * x,x \ (y \ 1)).
K(x,y) * ((T(y * x,K(x,y)) \ 1) \ 1) = (x * y) * K(y * x,(y * x) \ 1).
(x * y) * K(y * x,(y * x) \ 1) = K(x,y) * ((T(y * x,K(x,y)) \ 1) \ 1).
a(x,y,T(y,x * z) \ 1) = a(x,y,T(y,z) \ 1).
a(T(x,y),z,z \ 1) = a(x,z,T(z,y) \ 1).
a(x \ (y * x),z,z \ 1) = a(y,z,T(z,x) \ 1).
a((x \ y) \ z,u,u \ 1) = a(y \ (x * z),u,u \ 1).
a(x \ (y * z),u,u \ 1) = a((y \ x) \ z,u,u \ 1).
a(L(x,y,z),u,u \ 1) = a(x,u,u \ 1).
L(a(x,y,y \ 1),z * x,u) = a(L(x,z,u),y,y \ 1).
a(L(x,y,z),u,u \ 1) = L(a(x,u,u \ 1),y * x,z).
(x * (y * z)) \ (x * (y * R(z,u,u \ 1))) = a(L(z,y,x),u,u \ 1).
L(a(L(x,y,z),u,u \ 1),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * R(x,u,u \ 1))).
(x * (y * z)) \ (x * (y * R(z,u,u \ 1))) = L(a(L(z,y,x),u,u \ 1),L(z,y,x),x * y).
L(K(x \ (x / (L(y,z,u) \ 1)),x),L(y,z,u),u * z) = (u * (z * y)) \ ((u * z) * L(T(y,x),z,u)).
R(x,y,z) / R(x,u,w) = R(x,u,w) \ R(x,y,z).
R(x,y,z) \ R(x,u,w) = R(x,u,w) / R(x,y,z).
a(x,y,R(z \ T(u,z \ 1),w,v5)) = T(a(x,y,R(z \ u,w,v5)),z \ 1).
R(x / (1 / y),z,u) \ (x / (1 / y)) = x / (y \ R(y * x,z,u)).
x / (y \ R(y * x,z,u)) = R(x / (1 / y),z,u) \ (x / (1 / y)).
a(x,y,R((z \ u) * z,w,v5)) = T(a(x,y,R(u,w,v5)),z).
R((x \ y) * x,z,u) * (R(y,z,u) \ (R(y,z,u) / x)) = x \ R(y,z,u).
R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x.
(x \ R(y,z,u)) * x = R((x \ y) * x,z,u).
R(x,y,z) \ R(R(x,y,z) * (R(x,y,z) \ x),u,w) = R(x,u,w) / R(x,y,z).
R(x,y,z) / R(x,u,w) = R(x,u,w) \ R(R(x,u,w) * (R(x,u,w) \ x),y,z).
(1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u).
x \ R(x * (y / x),z,u) = R(y,z,u) / x.
R(x,y,z) / u = u \ R(u * (x / u),y,z).
(x \ R(x * y,z,u)) * x = R(y * x,z,u).
R(x * (y / x),z,u) = x * (R(y,z,u) / x).
x * (R(y,z,u) / x) = R(x * (y / x),z,u).
R(x * y,z,u) / y = y \ R(y * x,z,u).
x \ R(x * y,z,u) = R(y * x,z,u) / x.
x * (R(y * x,z,u) / x) = R(x * y,z,u).
x * (R((x \ y) * x,z,u) / x) = R(y,z,u).
R(x * K(y \ 1,y),z,u) * K(y,y \ 1) = y * (R((y \ x) * y,z,u) / y).
K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = x * (R((x \ y) * x,z,u) / x).
K(x,x \ 1) * R(K(x \ 1,x) * (x * y),z,u) = x * (R(y * x,z,u) / x).
K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * (R(y * x,z,u) / x).
K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((1 / x) \ y,z,u)).
R(1 / (1 / (1 / x)),1 / (1 / x),y) = (K(x,x \ 1) / x) * a(x \ 1,x,y).
R(1 / (1 / (1 / x)),1 / (1 / x),y) = (K(x,x \ 1) / x) * a(1 / x,x,y).
(K(x,x \ 1) / x) * a(1 / x,x,y) = R(1 / (1 / (1 / x)),1 / (1 / x),y).
(K(x,x \ 1) / x) * a(1 / x,(1 / x) \ 1,y) = R(1 / (1 / (1 / x)),1 / (1 / x),y).
a(L(x,y,z),T(u,L(x,y,z)),x) = a(x,u,L(x,y,z)).
a(L(x,y,z),T(u,L(x,y,z)),x) = a(x,T(u,x),L(x,y,z)).
(x * (T(y,x) * L(x,z,u))) \ ((y * x) * L(x,z,u)) = a(L(x,z,u),T(y,L(x,z,u)),x).
(x * (T(y,x) * L(x,z,u))) \ ((y * L(x,z,u)) * x) = a(L(x,z,u),T(y,L(x,z,u)),x).
L(x,L(y,z,u),y \ 1) / a(u,z,y) = L(x / a(u,z,y),y,y \ 1).
L(x,L(y,z,u),y \ 1) / a(u,z,y) = (1 / y) * (y * (x / a(u,z,y))).
(1 / x) * (x * (y / a(z,u,x))) = L(y,L(x,u,z),x \ 1) / a(z,u,x).
x / ((1 / y) * (x * y)) = (x / (x * y)) * y.
((x / (x * y)) * y) \ x = (1 / y) * (x * y).
L(T(x,y),y,1 / y) = ((x / (x * y)) * y) \ x.
L(T(x,y),(1 / y) \ 1,1 / y) = ((x / (x * y)) * y) \ x.
((x / (x * y)) * y) \ x = L(T(x,y),(1 / y) \ 1,1 / y).
L(T(x,y),x \ ((1 / y) \ x),y \ 1) = ((x / (x * y)) * y) \ x.
L(T(x,y),x \ ((1 / y) \ x),y \ 1) = ((1 / y) * (x \ ((1 / y) \ x))) \ x.
((1 / x) * (y \ ((1 / x) \ y))) \ y = L(T(y,x),y \ ((1 / x) \ y),x \ 1).
L(a(x,y,z),u,u \ 1) / u = a(x,y,z) * (1 / u).
R(a(x,y,z),u \ 1,u) = L(a(x,y,z),u,u \ 1).
L(a(x,y,z),u,u \ 1) = R(a(x,y,z),u \ 1,u).
(a(x,y,z) \ (u \ 1)) / (u \ (a(x,y,z) \ 1)) = K(u \ 1,a(x,y,z)).
x \ T(y \ L(y,z,u),x \ 1) = a(u,z,y) \ (x \ 1).
R(a(x,y,z),u \ 1,(u \ 1) \ 1) = L(a(x,y,z),u,u \ 1).
R(a(x,y,z),u,u \ 1) = L(a(x,y,z),u \ 1,u).
x * ((x \ 1) * a(y,z,u)) = R(a(y,z,u),x,x \ 1).
(a(x,y,z) \ u) \ 1 = (u \ 1) * a(x,y,z).
(x \ 1) * a(y,z,u) = (a(y,z,u) \ x) \ 1.
x \ T(a(y,z,u) \ 1,x \ 1) = a(y,z,u) \ (x \ 1).
a(x,y,z) \ (u \ 1) = u \ T(a(x,y,z) \ 1,u \ 1).
(x \ (a(y,z,u) \ 1)) * a(y,z,u) = x \ 1.
(x \ 1) / a(y,z,u) = x \ (a(y,z,u) \ 1).
x \ (a(y,z,u) \ 1) = (x \ 1) / a(y,z,u).
R(x,x \ 1,y \ L(y,z,u)) = x.
R(x,x \ 1,a(y,z,u) \ 1) = x.
R(x,x \ 1,a(y,z,u) \ 1) = 1 / (x \ 1).
(a(x,y,z) \ 1) / (u / a(x,y,z)) = 1 / u.
(1 / x) * (x / a(y,z,u)) = a(y,z,u) \ 1.
a(x,y,z) \ 1 = (1 / u) * (u / a(x,y,z)).
a(x,y,L(z,u / z,u \ 1)) = a(x,y,z).
a(x,y,L(z,u / z,u \ 1)) = a(x,y,(u / z) \ u).
((1 / x) * y) \ T(1 / x,z) = ((x \ 1) * y) \ T(x \ 1,z).
a(x,y,L(z,u / z,u \ 1)) = a(x,y,((u \ 1) * (u / z)) \ 1).
L(x,y,y \ (a(z,u,y) \ 1)) = L(x,L(y,u,z),y \ 1).
L(x,y,y \ (a(z,u,y) \ 1)) = L(x,L(y,u,z),1 / y).
(K(x,y) / x) \ (y / (y * x)) = a(x \ K(x,y),x,y).
a(K(x,y) / x,z,u) = a(x \ K(x,y),z,u).
a(x \ K(x,y),z,u) = a(K(x,y) / x,z,u).
a((x * K(y,x)) \ 1,z,u) = a(K(x,y) / x,z,u).
a(K(x,y) / x,z,u) = a((x * K(y,x)) \ 1,z,u).
a(1 / x,y,z) = a(x \ 1,y,z).
a(x \ 1,y,z) = a(1 / x,y,z).
L(T(x,y),x \ ((1 / z) \ x),z \ 1) = L(T(x,y),(1 / z) \ 1,1 / z).
((1 / x) * (((1 / x) \ y) / T(y,x))) \ y = L(T(y,x),y \ ((1 / x) \ y),x \ 1).
L(x \ 1,(y * x) / y,x \ 1) = 1 / x.
(1 / x) * (L(x,y,z) * T(u,x \ L(x,y,z))) = L(u,L(x,y,z),x \ 1) / a(z,y,x).
L(x \ K(y \ 1,z),x,y \ 1) = ((1 / y) * x) \ T(1 / y,z).
a(x,y,L(z,u / z,u \ 1)) = a(x,y,((1 / u) * (u / z)) \ 1).
L(x,y,(y * a(z,u,y)) \ 1) = L(x,L(y,u,z),1 / y).
x / L(x,y,z \ 1) = a(1 / z,y,x).
a(1 / x,y,z) = z / L(z,y,x \ 1).
L(x,y,1 / z) = L(x,y,z \ 1).
L(x,y,z \ 1) = L(x,y,1 / z).
L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = L(x,y,z \ 1).
L(x,y,z \ 1) = L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)).
L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)).
((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)).
R(T(x,y),y / x,T(x,y)) = T(x,x \ y).
R(T(x,y),y / x,T(x,y)) = T(x,y / x).
T(x,y / x) = R(T(x,y),y / x,T(x,y)).
T(T(x * K(y,x),y),y / x) = R(T(x,y),y / x,T(x,y)).
T(T((x / (y * K(x,y))) * y,y),y / x) = R(T(x,y),y / x,T(x,y)).
T(T(x / (y \ (x * K(y,x))),x),x / y) = R(T(y,x),x / y,T(y,x)).
R(T(x,y),y / x,T(x,y)) = T(T(y / (x \ (y * K(x,y))),y),y / x).
R(T(x,y),(y * K(x,y)) / T(x,y),T(x,y)) = T(T(y / (x \ (y * K(x,y))),y),y / x).
R(T(x,y),(y * K(x,y)) / T(x,y),T(x,y)) = T(T((x * y) / (y * K(x,y)),y),y / x).
T(T((x * y) / (y * K(x,y)),y),y / x) = R(T(x,y),(y * K(x,y)) / T(x,y),T(x,y)).
T(T((x * T(y,x)) / (x * K(y,x)),x),x / y) = R(T(y,x),(x * K(y,x)) / T(y,x),T(y,x)).
L(T(x \ R(x,y,z),u),u,z) = T(x \ R(x,y,z),z * u).
T(x \ R(x,y,z),(z * u) * (x \ R(x,y,z))) = L(T(x \ R(x,y,z),u),u,z).
T(x \ R(x,y,z),(z * u) * (x \ R(x,y,z))) = (z * u) \ (z * (R(x,y,z) * (x \ u))).
R(x,y,z) * (x \ (z * u)) = z * (R(x,y,z) * (x \ u)).
x * (R(y,z,x) * (y \ u)) = R(y,z,x) * (y \ (x * u)).
x * (R(y,z,x) * (y \ L(u,x,y \ R(y,z,x)))) = R(y,z,x) * (y \ (x * u)).
x * (R(y,z,x) * (y \ L(u,x,y \ R(y,z,x)))) = (y \ R(y,z,x)) * (x * u).
T(T((x * (K(y,x) * y)) / (x * K(y,x)),x),x / y) = R(T(y,x),(x * K(y,x)) / T(y,x),T(y,x)).
a(x \ 1,x,(y * (x \ 1)) / y) \ 1 = ((y * (x \ 1)) / y) \ ((y * (1 / x)) / y).
((x * (y \ 1)) / x) \ ((x * (1 / y)) / x) = a(y \ 1,y,(x * (y \ 1)) / x) \ 1.
a(x,L(x,y,z) \ 1,u) = a(x,x \ 1,u).
a(x,x \ 1,y) = a(x,L(x,z,u) \ 1,y).
a(L(x,y,z),L(x,y,z) \ 1,u) = a(x,x \ 1,u).
a(x,x \ 1,y) = a(L(x,z,u),L(x,z,u) \ 1,y).
a(L(x,y,z),(z * (y * x)) \ (z * y),u) = a(x,x \ 1,u).
a(L(x,y,z),(z * (y * x)) \ (z * y),u) = a(x,(y * x) \ y,u).
a(L(x,y,z),(z * (y * x)) \ (z * y),u) = a(x,(z \ (z * (y * x))) \ y,u).
a(L(x,y,z),(z * (y * x)) \ (z * y),u) = a(y \ (y * x),(z \ (z * (y * x))) \ y,u).
a(x \ (x * y),(z \ (z * (x * y))) \ x,u) = a(L(y,x,z),(z * (x * y)) \ (z * x),u).
(x * y) / ((x * (y * z)) / z) = a(x,y,T(z,(x * y) \ 1)).
a(x,y,T(z,(x * y) \ 1)) = (x * y) / ((x * (y * z)) / z).
((x * y) * a(x,y,z)) / (x * y) = (x * y) / ((x * (y * z)) / z).
(x * y) / ((x * (y * z)) / z) = ((x * y) * a(x,y,z)) / (x * y).
a(x,y,(x * y) / ((x * y) / z)) = (x * y) / ((x * (y * z)) / z).
a(x,y,z) * K(a(x,y,z) \ 1,x * y) = (x * y) / ((x * (y * z)) / z).
K((x * (y * z)) / z,a(x,y,z)) = K(a(x,y,z) \ 1,x * y).
K((x * (y * z)) / z,a(x,y,z)) = (x * y) / T(x * y,a(x,y,z) \ 1).
(x * y) / T(x * y,a(x,y,z) \ 1) = K((x * (y * z)) / z,a(x,y,z)).
a(x,y,z) * ((x * (y * z)) / z) = T(x * y,a(x,y,z) \ 1).
T(x * y,a(x,y,z) \ 1) = a(x,y,z) * ((x * (y * z)) / z).
K(x * y,a(x,y,z) \ 1) * (x * y) = a(x,y,z) * ((x * (y * z)) / z).
K(a(x,y,z),(x * (y * z)) / z) * (x * y) = a(x,y,z) * ((x * (y * z)) / z).
a(x,y,z) * ((x * (y * z)) / z) = K(a(x,y,z),(x * (y * z)) / z) * (x * y).
K(x * (K(y,z) / y),L((z * y) / z,z / (z * y),x)) = K(x * (K(y,z) / y),y * K(z,y)).
(x / (x * (y \ 1))) * (y \ 1) = y * (x \ (y \ x)).
((x * K(y \ 1,x)) / ((y \ 1) * x)) * (y \ 1) = y * (x \ (y \ x)).
((x * K(y \ 1,x)) / ((y \ 1) * x)) * (y \ 1) = (x \ (y \ x)) * T(y,y \ 1).
((x * K(y \ 1,x)) / ((y \ 1) * x)) * (y \ 1) = ((y \ 1) \ 1) * T(x \ (y \ x),y).
((x \ 1) \ 1) * T(y \ (x \ y),x) = ((y * K(x \ 1,y)) / ((x \ 1) * y)) * (x \ 1).
(1 / x) * (y \ ((1 / x) \ y)) = (y / (y * x)) * x.
(x \ 1) * (y \ ((x \ 1) \ y)) = (y / (y * x)) * x.
a(x,y,z) * ((a(x,y,z) / u) * (a(x,y,z) \ u)) = (1 / u) \ (a(x,y,z) / u).
x * (((x / y) / x) * y) = (1 / y) \ (x / y).
(x \ 1) * (((x \ 1) * (x * y)) \ (x * y)) = ((y * K(x,y)) / (x * y)) * x.
(1 / x) * (((1 / x) * y) \ y) = ((y / x) / y) * x.
((x / (y \ 1)) / x) * (y \ 1) = y * ((y * x) \ x).
(x \ 1) * (((x \ 1) * (y * x)) \ (y * x)) = (y / (y * x)) * x.
(x \ 1) * (((x \ 1) * y) \ y) = ((y / x) / y) * x.
(x \ 1) * (((x \ 1) * y) \ y) = ((y / x) / y) * ((y / x) \ y).
(x \ (x / y)) * (((x \ (x / y)) * x) \ x) = (y \ 1) * (((y \ 1) * x) \ x).
a(x,y \ 1,y) \ K(x,y \ 1) = (x \ (x / y)) * (((x \ (x / y)) * x) \ x).
a(x,x \ (x / y),y) \ K(x,y \ 1) = (x \ (x / y)) * (((x \ (x / y)) * x) \ x).
a(x,x \ (x / y),(x / y) \ x) \ K(x,y \ 1) = (x \ (x / y)) * (((x \ (x / y)) * x) \ x).
((x * (y / x)) * ((y / T(x,y)) \ 1)) \ T(x,y) = (y / T(x,y)) * ((x * (y / x)) \ T(x,y)).
((x / a(y,z,y)) / (R(y,z,y) \ T(x,y))) * a(y,z,y) = R(T(y,x / a(y,z,y)),z,y).
R(T(x,y / a(x,z,x)),z,x) = ((y / a(x,z,x)) / (R(x,z,x) \ T(y,x))) * a(x,z,x).
(x / a(y,z,y)) / (a(y,z,y) \ (R(y,z,y) \ T(x,y))) = R(T(y,x / a(y,z,y)),z,y).
(x / a(y,z,y)) / (R(y,z,y) \ (a(y,z,y) \ T(x,y))) = R(T(y,x / a(y,z,y)),z,y).
(x / a(y,z,y)) / (R(y,z,y) \ (a(y,z,y) \ T(x,y))) = T(R(y,z,y),a(y,z,y) \ T(x,y)).
(x / a(y,z,y)) / (R(y,z,y) \ (a(y,z,y) \ T(x,y))) = T(R(y,z,y),R(y,z,y) \ (x * y)).
K(x \ K(x,y),L(z,x,K(y,x)) * (x * K(y,x))) = K(x \ K(x,y),K(y,x) * (x * z)).
K(x \ K(x,y),L(z,x,K(y,x)) * (x * K(y,x))) = K((x * K(y,x)) \ 1,K(y,x) * (x * z)).
R(K(x,y),x,T(x,z) \ 1) = L(K(x,y),x,x \ K(z,x)).
L(K(x,y),T(x,x \ 1),x \ K(z,x)) = R(K(x,y),x,T(x,z) \ 1).
L(K(T(x,x \ 1),y),T(x,x \ 1),x \ K(z,x)) = R(K(x,y),x,T(x,z) \ 1).
L(K(T(x,x \ 1),y),T(x,x \ 1),x \ K(z,x)) = K(z,x) \ (T(x,z) \ T(x,y)).
(((x / (x / y)) \ 1) * ((y \ x) * y)) \ (y \ x) = (x / (x / y)) * ((x / y) / x).
T(x,R(L(x / y,z,u) \ 1,x / y,y)) = T(x,L(x / y,z,u) \ 1).
x * (R(y,z,x) * (y \ L(u,x,y \ R(y,z,x)))) = (y \ R(y,z,x)) * (T(x,y \ R(y,z,x)) * u).
(x \ R(x,y,z)) * (T(z,x \ R(x,y,z)) * u) = z * (R(x,y,z) * (x \ L(u,z,x \ R(x,y,z)))).
(R((1 / x) \ y,z,u) / a(x \ 1,x,y)) / (x * y) = ((1 / x) \ y) \ R((1 / x) \ y,z,u).
T((x * (K(y,x) * T(y,x))) / (x * K(y,x)),x / y) = R(T(y,x),(x * K(y,x)) / T(y,x),T(y,x)).
T(R(x,y,z) * (x / R(x,y,z)),R(x,y,z) \ 1) = ((R(x,y,z) \ 1) \ 1) * (R(x,y,z) \ x).
x / ((x * ((y \ T(x,y)) \ 1)) * (y \ T(x,y))) = (y \ T(x,y)) * (x \ T(y,x)).
x / ((x * (y \ 1)) * y) = y * (x \ (x / y)).
(x * (y \ (y / x))) \ y = (y * (x \ 1)) * x.
(x * (y \ 1)) * y = (y * (x \ (x / y))) \ x.
(x * (y \ 1)) * ((x / y) \ z) = (y * (x \ (x / y))) \ z.
(x * (y \ (y / x))) \ z = (y * (x \ 1)) * ((y / x) \ z).
(x / y) \ ((x * (y \ 1)) * z) = (y * (x \ (x / y))) \ z.
L((x * (y \ (y / x))) \ z,x * (y \ (y / x)),y * (x \ 1)) = (y / x) \ ((y * (x \ 1)) * z).
((x * (y \ 1)) / x) \ ((x * (K(y,y \ 1) * (y \ 1))) / x) = a(y \ 1,y,(x * (y \ 1)) / x) \ 1.
((1 / x) \ (y / x)) / (y / x) = R(1 / (1 / x),x \ 1,y).
(((1 / (1 / x)) \ 1) \ (y / x)) / (y / x) = R(1 / (1 / x),x \ 1,y).
(((1 / (1 / x)) \ 1) \ (y / x)) / (y / x) = R(1 / (1 / x),1 / x,y).
R(1 / (1 / x),1 / x,y * K(x \ 1,x)) = (((1 / (1 / x)) \ 1) \ (y / x)) / (y / x).
K(R(x,y,z),R(x,y,z) \ 1) = K(x,R(x,y,z) \ 1).
R(x,y,z) * (1 / R(x,y,z)) = K(x,R(x,y,z) \ 1).
(x / (R(x,y,z) \ x)) * (1 / R(x,y,z)) = K(x,R(x,y,z) \ 1).
(x / (x / R(x,y,z))) * (1 / R(x,y,z)) = K(x,R(x,y,z) \ 1).
(x / (x / R(x,y,z))) * ((x / R(x,y,z)) / x) = K(x,R(x,y,z) \ 1).
(x / (x / R(x,y,z))) * ((x / R(x,y,z)) / x) = a(R(x,y,z),R(x,y,z) \ 1,x).
(x / (x / R(x,y,z))) * ((x / R(x,y,z)) / x) = a(R(x,y,z),1 / R(x,y,z),x).
(x / (x / R(x,y,z))) * ((x / R(x,y,z)) / x) = a(R(x,y,z),(x / R(x,y,z)) / x,x).
a(R(x,y,z),(x / R(x,y,z)) / x,x) = (x / (x / R(x,y,z))) * ((x / R(x,y,z)) / x).
L(K(a(x,y,z),x \ u),(x \ u) * a(x,y,z),x) = a(x,x \ u,a(x,y,z)) * K(a(x,y,z),u).
L(x \ 1,x,R(y,z,u) \ y) = x \ 1.
L(x \ 1,x,(y \ R(y,z,u)) \ 1) = x \ 1.
L(x \ 1,x,a(y,z,u) \ 1) = x \ 1.
(a(x,y,z) \ u) \ (a(x,y,z) \ 1) = u \ 1.
x \ 1 = (a(y,z,u) \ x) \ (a(y,z,u) \ 1).
(a(x,y,z) * u) \ 1 = u \ (a(x,y,z) \ 1).
x \ (a(y,z,u) \ 1) = (a(y,z,u) * x) \ 1.
x * ((a(y,z,u) * x) \ 1) = a(y,z,u) \ 1.
(x \ (x / y)) \ (L(z,y,y \ 1) / a(x,y \ 1,y)) = y * T(z,y * (x \ (x / y))).
(x * R(1 / y,z,u)) / (y * R(y \ 1,z,u)) = x * (1 / y).
a(x \ (y \ (y * (x * z))),(y \ (y * (x * z))) \ x,u) = a(L(z,x,y),(y * (x * z)) \ (y * x),u).
a(L(x,y,z),(z * (y * x)) \ (z * y),u) = a(y \ (z \ (z * (y * x))),(z \ (z * (y * x))) \ y,u).
a((x * y) \ z,z \ (x * y),u) = a(y \ (x \ z),(x \ z) \ y,u).
(((x \ y) * (y \ 1)) * a(z,u,x)) \ ((x \ y) * (y \ 1)) = y * ((a(z,u,x) * y) \ 1).
L(R(x,x \ y,y \ 1),z,u) \ 1 = ((x \ y) * (y \ 1)) * a(u,z,x).
((x \ y) * (y \ 1)) * a(z,u,x) = L(R(x,x \ y,y \ 1),u,z) \ 1.
a(x,y,R(z,z \ u,u \ 1)) = a(x,y,z).
a(x,y,R(z,z \ u,u \ 1)) = a(x,y,u / (z \ u)).
a(x,y,R(z,z \ u,u \ 1)) = a(x,y,u * ((z \ u) \ 1)).
a(x,T(y * (1 / z),y),u) = a(x,T(y / z,y),u).
(a(x,y,y \ 1) \ a(z,u,w)) * a(x,y,y \ 1) = a(z,u,w).
a(x,y,T(z,a(u,w,w \ 1))) = a(x,y,z).
(x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z.
x * ((1 / (1 / y)) * z) != (x * (1 / (1 / y))) * u | L(z,y,x) = u.
x \ (a(y \ x,x \ y,x) \ y) = (x / ((x \ y) * x)) \ 1.
(x / ((x \ y) * x)) \ 1 = x \ (a(y \ x,x \ y,x) \ y).
a(x,(y * K(z \ y,y)) * (1 / z),u) = a(x,T(y / z,y),u).
a(x,y * (1 / z),u) = a(x,y / z,u).
a(x,y / z,u) = a(x,y * (1 / z),u).
a(x,(y / (1 / z)) / z,u) = a(x,y,u).
(x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z).
a(((x \ y) \ z) \ 1,(x \ y) \ z,u) = a((x * z) \ y,y \ (x * z),u).
a(x \ y,y \ x,z) \ (y \ x) = (z / ((y \ x) * z)) \ 1.
L(K(x,y),K(y,z),K(z,y)) / (K(x,y) * K(y,z)) = K(y,z) \ 1.
(1 / K(x,y)) * (K(x,y) * z) = L(z,K(x,y),K(y,x)).
((x * y) / (K(z,x) \ y)) \ ((z * x) / z) = a(x,K(z,x),K(x,z) * y).
a(x,y,((z \ 1) * u) \ 1) = a(x,y,u \ z).
a(x,y,z \ u) = a(x,y,((u \ 1) * z) \ 1).
a(x,y,K(z,u) \ w) = a(x,y,K(u,z) * w).
a(x,y,K(z,u) * w) = a(x,y,K(u,z) \ w).
a(x,y,((z * u) \ z) * w) = a(x,y,u \ w).
a(x,y,R(z,z \ u,u \ 1)) = a(x,y,(u \ 1) \ ((z \ u) \ 1)).
a(x,y,(z * u) \ 1) = a(x,y,u \ (z \ 1)).
a(x,y,z \ (u \ 1)) = a(x,y,(u * z) \ 1).
K(x,x \ y) \ ((y / x) * (((x \ y) \ 1) * z)) = L(z,y \ x,y / x).
L(x,y \ L(z,z \ y,z),u) = L(x,(y / T(z,y)) \ 1,u).
L(x,(y / T(z,y)) \ 1,u) = L(x,y \ L(z,z \ y,z),u).
L(x,(y * z) \ y,u) = L(x,z \ 1,u).
L(x,y \ 1,z) = L(x,(u * y) \ u,z).
L(x,(y \ z) \ 1,u) = L(x,z \ y,u).
L(x,y \ z,u) = L(x,(z \ y) \ 1,u).
a(x,y,(z \ u) \ (z \ 1)) = a(x,y,u \ 1).
a(x,y,z \ 1) = a(x,y,(u \ z) \ (u \ 1)).
a((x \ y) \ 1,x \ y,z) = a(y \ x,x \ y,z).
a(x \ y,y \ x,z) = a((y \ x) \ 1,y \ x,z).
a((x * y) \ x,y,z) = a(y \ 1,y,z).
a(x \ 1,x,y) = a((z * x) \ z,x,y).
L(x,(y \ z) \ 1,u) = a(u,z \ y,x) \ x.
a(x,(y * (z * u)) \ (y * z),w) = a(x,L(u,z,y) \ 1,w).
a(x,L(y,z,u) \ 1,w) = a(x,(u * (z * y)) \ (u * z),w).
a(x,(y * z) \ y,u) = a(x,z \ 1,u).
a(x,y \ 1,z) = a(x,(u * y) \ u,z).
a(x,(y \ z) \ 1,u) = a(x,z \ y,u).
a(x,y,((z \ u) \ 1) / z) = a(x,y,u \ 1).
(x \ (x / y)) \ (L(z,y,y \ 1) / a(x,y \ 1,y)) = y * T(z,(x \ (x / y)) * y).
L(x,K(y,z),K(y,z) \ 1) = L(x,K(y,z),K(z,y)).
L(x,K(y,z),K(z,y)) = L(x,K(y,z),K(y,z) \ 1).
a((x * y) \ x,y,z) = z / L(z,y,y \ 1).
L(x,y,z \ (z / y)) = L(x,y,y \ 1).
x / L(T(y,z \ 1),z \ 1,x / (y * (1 / z))) = (x / (y * (1 / z))) * (1 / z).
(x * R(1 / y,z,u)) / L(y * R(y \ 1,z,u),y \ 1,x) = x * (1 / y).
(x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z).
L(x,y,(z * y) \ z) = L(x,y,y \ 1).
L(x,(1 / y) * z,((1 / y) * z) \ 1) = L(x,(1 / y) * z,z \ y).
L(x,(1 / y) * z,z \ y) = L(x,(1 / y) * z,((1 / y) * z) \ 1).
L(x,T(y,y \ 1),z) = L(x,y,z).
L(x,1 / y,z) = L(x,y \ 1,z).
L(x,y \ 1,z) = L(x,1 / y,z).
L(x,(y \ 1) \ 1,z) = L(x,y,z).
L(x,R(y,z,z \ 1),u) = L(x,y,u).
L(x,y,z) = L(x,R(y,u,u \ 1),z).
a(x,y,z * ((z * u) \ u)) = a(x,y,K(u,z)).
a(x,y,((z \ u) * (u \ z)) * w) = a(x,y,w).
a(x,K(y \ 1,y) * z,u) = a(x,z,u).
a(x,y * K(z \ 1,z),u) = a(x,y,u).
a(x,y * K(z,z \ 1),u) = a(x,y,u).
a(x,(y / (1 / z)) / z,u) = a(x,y * K(z \ 1,z),u).
a(x,y * K(z \ 1,z),u) = a(x,(y / (1 / z)) / z,u).
a(x,y,(1 / z) / u) = a(x,y,(z \ 1) / u).
a(x,y,(z \ 1) / u) = a(x,y,(1 / z) / u).
a(x,y,((1 / z) * u) \ w) = a(x,y,((z \ 1) * u) \ w).
a(x,y,K(z,z \ 1) * u) = a(x,y,u).
a(x,y,z) = a(x,y,K(u,u \ 1) * z).
L(x,R(y,z,z \ 1),u) = a(u,y,x) \ x.
a(x,y * (z \ 1),u) = a(x,y / z,u).
a(x,R(y,z,z \ 1),u) = a(x,y,u).
a(x,y,z) = a(x,R(y,u,u \ 1),z).
a(x,y,((z * u) \ z) * w) = a(x,y,(u \ 1) * w).
a(x,y,(z \ 1) * u) = a(x,y,((w * z) \ w) * u).
a(x,y,K(z \ 1,z) * u) = a(x,y,u).
a(x,y,T(z,a(u,w,w \ 1))) = a(x,y,z * a(u,w,w \ 1)).
a(x,y,a(z,u,u \ 1) \ w) = a(x,y,w).
a(x,y,a(z,u,u \ 1) * w) = a(x,y,w).
a(x,y,z) = a(x,y,a(u,w,w \ 1) * z).
a((x \ y) \ y,z,z \ 1) = a(x,z,T(z,y) \ 1).
a(x,y,T(y,z) \ 1) = a((x \ z) \ z,y,y \ 1).
a(x,y,z / T(a(u,w,w \ 1),v5)) = a(x,y,z).
a((x \ y) \ y,z,z \ 1) = T(a(x,z,z \ 1),y).
T(a(x,y,y \ 1),z) = a((x \ z) \ z,y,y \ 1).
L(a((x \ y) \ y,z,z \ 1),T(x,x \ y),x \ y) = T(a(x,z,z \ 1),y).
T(a(x,y,y \ 1),z) = L(a((x \ z) \ z,y,y \ 1),T(x,x \ z),x \ z).
L(a((x \ y) \ y,z,z \ 1),T(x,x \ y),x \ y) = y \ (a(x,z,z \ 1) * y).
L(a((x \ y) \ y,z,z \ 1),T(x,x \ y),x \ y) = y \ (R(x,z,z \ 1) * (x \ y)).
L(x,(y \ 1) \ 1,(z * y) \ z) = L(x,y,y \ 1).
L(x,T(y,(z * y) \ z),(z * y) \ z) = L(x,y,y \ 1).
L(x,T(y,(z * y) \ z),(z * y) \ z) = L(x,(y \ 1) \ 1,y \ 1).
L(x,T(y,(z * y) \ z),(z * y) \ z) = (y \ 1) * (((y \ 1) \ 1) * x).
L(x,T(y,(z * y) \ z),(z * y) \ z) = a(z,y,y \ 1) * (((z * y) \ z) * (((y \ 1) \ 1) * x)).
a(x,y,z / a(u,w,v5 / (v5 * w))) = a(x,y,z).
a(x / (x / y),z,z \ 1) = a(y,z,x / (x * z)).
a(x / (x / y),z,z \ 1) = x / (x / a(y,z,z \ 1)).
x / (x / a(y,z,z \ 1)) = a(x / (x / y),z,z \ 1).
x / (x * (y * ((z * y) \ z))) = a(x / (x / z),y,y \ 1).
R(x / (x / y),z,u) * (y \ K(y,y \ x)) = x / (x * (R(y,z,u) \ y)).
x / (x * (R(y,z,u) \ y)) = R(x / (x / y),z,u) * (y \ K(y,y \ x)).
x / (x * (R(y,z,z \ 1) \ y)) = a(x / (x / y),z,z \ 1).
(x / (x / y)) \ R(x / (x / y),z,u) = x / (x * (R(y,z,u) \ y)).
R(x / (x / y),z,u) * K(y,y \ x) = y * (x / (x * (R(y,z,u) \ y))).
((x \ y) * R(x,z,u)) / ((x \ y) * x) = y / (y * (R(x,z,u) \ x)).
x / (x * (R(y,z,u) \ y)) = ((y \ x) * R(y,z,u)) / ((y \ x) * y).
(x / (x * (R(y,z,u) \ y))) \ 1 = y * (R(y,z,u) \ K(x,R(y,z,u) \ y)).
x / (x * (y \ R(y,z,T(x,u)))) = R(y,z,T(x,u)) \ y.
(x * K(x \ y,x)) \ R(x * K(x \ y,x),z,u) = y / (y * (R(x,z,u) \ x)).
(x \ R(x,y,z)) \ K(u,R(x,y,z) \ x) = (u / (u * (R(x,y,z) \ x))) \ 1.
(x * (y \ R(y,z,u))) / x = x / (x * (R(y,z,u) \ y)).
x / (x * (R(y,z,u) \ y)) = (x * (y \ R(y,z,u))) / x.
(x / (x * (R(y,z,u) \ y))) \ w = (x / (x * (y \ R(y,z,u)))) * w.
T(R(x,y,T(z,u)) \ x,T(z,u)) = z / (z * (x \ R(x,y,T(z,u)))).
1 / (x / (x * (y \ R(y,z,u)))) = x / (x * (R(y,z,u) \ y)).
(x * (R(y,z,u) \ y)) / x = x / (x * (y \ R(y,z,u))).
T(x * (y \ R(y,z,u)),y \ R(y,z,u)) \ x = (x * (R(y,z,u) \ y)) / x.
(T(x,y \ R(y,z,u)) * (y \ R(y,z,u))) \ x = (x * (R(y,z,u) \ y)) / x.
(T(x,y \ R(y,z,u)) / (R(y,z,u) \ y)) \ x = (x * (R(y,z,u) \ y)) / x.
((x / (x * y)) * ((x * y) / x)) * (y * x) = (1 / ((x * y) / x)) \ (x * K(y,x)).
((x / (x * y)) * ((x * y) / x)) * (y * x) = (1 / ((x * y) / x)) \ (K(y,x) * x).
(1 / ((x * y) / x)) \ (K(y,x) * x) = ((x / (x * y)) * ((x * y) / x)) * (y * x).
(L(x \ 1,y,z) * R(L(1 / x,y,z) \ (u / (L(1 / x,y,z) \ 1)),w,v5)) / L(x \ 1,y,z) = (R(u,w,v5) / (L(1 / x,y,z) \ 1)) / L(1 / x,y,z).
(R(x,y,z) / (L(1 / u,w,v5) \ 1)) / L(1 / u,w,v5) = (L(u \ 1,w,v5) * R(L(1 / u,w,v5) \ (x / (L(1 / u,w,v5) \ 1)),y,z)) / L(u \ 1,w,v5).
(L(1 / x,y,z) * u) / L(1 / x,y,z) = (L(x \ 1,y,z) * u) / L(x \ 1,y,z).
(L(x \ 1,y,z) * u) / L(x \ 1,y,z) = (L(1 / x,y,z) * u) / L(1 / x,y,z).
(L(R(x,x \ y,y \ 1),z,u) \ 1) \ ((x \ y) * (y \ 1)) = y * ((a(u,z,x) * y) \ 1).
(L(R(x,x \ y,y \ 1),z,u) \ 1) \ ((x \ y) * (y \ 1)) = (a(u,z,x) \ y) * (y \ 1).
L(x / ((y \ z) * (z \ y)),u,w) = L(x,u,w) / ((y \ z) * (z \ y)).
L(x,y,z) / ((u \ w) * (w \ u)) = L(x / ((u \ w) * (w \ u)),y,z).
L(((x \ y) * (y \ x)) * z,u,w) = ((x \ y) * (y \ x)) * L(z,u,w).
T((R(x,y,z) \ x) / u,x \ R(x,y,z)) * u = T(R(x,y,z) \ x,u \ 1).
T(1 / T((L(x,y,z) * u) / L(x,y,z),x),K(u,L(x,y,z))) = K(u,L(x,y,z)) / T(u,x).
((x / (x * y)) \ 1) * R(T(x / (x * y),y),z,u) = (x / (x * y)) \ R(x / (x * y),z,u).
(a(x,y,L(z,u,z)) \ u) \ ((L(z,y,x) * (u * z)) / z) = L(T(z,a(x,y,L(z,u,z)) \ u),u,z).
L(T(x,a(y,z,L(x,u,x)) \ u),u,x) = (a(y,z,L(x,u,x)) \ u) \ ((L(x,z,y) * (u * x)) / x).
(((x * (R(x,y,z) \ u)) * (x \ R(x,y,z))) / (R(x,y,z) \ x)) \ u = (u * (R(x,y,z) \ x)) / u.
T(x * (y \ R(y,z,u)),y \ R(y,z,u)) \ x = x / (x * (y \ R(y,z,u))).
T(x * (y \ R(y,z,u)),y \ R(y,z,u)) \ x = x / (x / (R(y,z,u) \ y)).
(T(x,y \ R(y,z,u)) * (y \ R(y,z,u))) \ x = x / (x / (R(y,z,u) \ y)).
(T(x,y \ R(y,z,u)) / (R(y,z,u) \ y)) \ x = x / (x / (R(y,z,u) \ y)).
(x * K(x \ y,x)) \ R(x * K(x \ y,x),z,u) = (y * (x \ R(x,z,u))) / y.
T(R(x,y,z) * (x / R(x,y,z)),u) = T(x,u).
(R(x,y,z) * K(x,u)) * (x / R(x,y,z)) = T(R(x,y,z) * (x / R(x,y,z)),u).
T(R(x,y,z) * (x / R(x,y,z)),u) = (R(x,y,z) * K(x,u)) * (x / R(x,y,z)).
T(R(x,y,z) * ((x \ R(x,y,z)) \ 1),u) = (R(x,y,z) * K(x,u)) * (x / R(x,y,z)).
(R(x,y,z) * K(x,u)) * (x / R(x,y,z)) = T(R(x,y,z) * ((x \ R(x,y,z)) \ 1),u).
(R(x,y,z) * K(x,u)) * ((x \ R(x,y,z)) \ 1) = T(R(x,y,z) * ((x \ R(x,y,z)) \ 1),u).
R(x,y,z * R(1 / u,w,v5)) = R(x,y,z * R(u \ 1,w,v5)).
R(x,y,z * R(K(u,u \ 1) * w,v5,v6)) = R(x,y,z * R(w,v5,v6)).
R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u).
K(x,x \ 1) * R(y,z,u) = R(K(x,x \ 1) * y,z,u).
R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1).
R(x,y,z) * K(u,u \ 1) = R(K(u,u \ 1) * x,y,z).
R(x * K(y \ 1,y),z,u) * K(y,y \ 1) = R(x,z,u).
R(R(x,y,z),y * z,K(u \ 1,u)) = R(x * K(u \ 1,u),y,z) * K(u,u \ 1).
R(x * K(y \ 1,y),z,u) * K(y,y \ 1) = R(R(x,z,u),z * u,K(y \ 1,y)).
R(x \ 1,x,K(y,y \ x)) = (y * (x / y)) \ K(y,y \ x).
R(x \ 1,x,K(y,y \ T(x,x \ 1))) = (y * (x / y)) \ K(y,y \ x).
R(x \ 1,x,K(y,y \ T(x,x \ 1))) = K(y,y \ x) / T(y * (x / y),x \ 1).
K(x,x \ y) / T(x * (y / x),y \ 1) = R(y \ 1,y,K(x,x \ T(y,y \ 1))).
a(x,y,T(z,u)) * (u \ T(L(z,y,x) * u,T(z,u))) = T(z * K(L(z,y,x) * u,z),u).
K(x,x \ T(y,y \ 1)) / T(x * (y / x),y \ 1) = R(y \ 1,y,K(x,x \ T(y,y \ 1))).
(1 / ((x * y) / x)) \ (((1 / ((x * y) / x)) * y) * x) = ((x / (x * y)) * ((x * y) / x)) * (y * x).
((x / (x * y)) * ((x * y) / x)) * (y * x) = (1 / ((x * y) / x)) \ (((1 / ((x * y) / x)) * y) * x).
(L(1 / x,y,z) * (u * (1 / L(x \ 1,y,z)))) \ u = L(1 / x,y,z) * (u \ (L(1 / x,y,z) \ u)).
(x * (y * (x \ 1))) \ y = x * (y \ (x \ y)).
x * (y \ (x \ y)) = (x * (y * (x \ 1))) \ y.
x * (L(y,x \ 1,x) \ ((x \ 1) * y)) = (x * (y * (x \ 1))) \ y.
x * (L(y,x \ 1,x) \ (x \ L(y,x \ 1,x))) = (x * (y * (x \ 1))) \ y.
x * (L(y,x \ 1,x) \ (x \ L(y,x \ 1,x))) = (1 \ (x * (y * (x \ 1)))) \ y.
x * (L(y,x \ 1,x) \ (x \ L(y,x \ 1,x))) = L(T(y,x \ 1),x \ 1,x) \ y.
T(R(x,y,T(z,u)) \ x,T(z,u)) = (z * (R(x,y,T(z,u)) \ x)) / z.
(x * (R(y,z,T(x,u)) \ y)) / x = T(R(y,z,T(x,u)) \ y,T(x,u)).
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,x,x \ 1).
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,L(x,y,z),L(x,y,z) \ 1).
a(x,y * K(x,y),y \ K(y,x)) \ K(x,y * K(x,y)) = (y * K(x,y)) * ((x * y) \ x).
a(x,y,T(z,u)) * (u \ T(L(z,y,x) * u,T(z,u))) = T(z,u) * K(L(z,y,x) * u,T(z,u)).
T(x,y) * K(L(x,z,u) * y,T(x,y)) = a(u,z,T(x,y)) * (y \ T(L(x,z,u) * y,T(x,y))).
(x / y) * (((y \ x) \ x) / ((x / y) * ((y \ x) \ x))) = (x / y) * (y / x).
K(x,x \ T(y,y \ 1)) / T(x * (y / x),y \ 1) = R(y \ 1,y,K(x,T(y,y \ 1) / x)).
a(x,y * K(z,z \ 1),u) = a(x,y,K(z,z \ 1) * u).
a(x,y,K(z,z \ 1) * u) = a(x,y * K(z,z \ 1),u).
K(R(x,y,z) \ x,u \ (R(x,y,z) \ x)) = K(R(x,y,z) \ x,u \ 1).
K(R(x,y,z) \ x,u \ 1) = K(R(x,y,z) \ x,u \ (R(x,y,z) \ x)).
K(R(x,y,z) \ x,x * (R(x,y,z) \ u)) = K(R(x,y,z) \ x,u).
K(x * (R(x,y,z) \ u),x \ R(x,y,z)) = K(R(x,y,z) \ x,u).
x * y != ((z \ R(z,u,w)) \ y) / (R(z,u,w) \ z) | x = K(R(z,u,w) \ z,y).
(x / y) * a(z,u,T(w,y \ 1)) = x / (y / a(z,u,w)).
(x / y) * a(z,u,y * (w / y)) = x / (y / a(z,u,w)).
(x / y) * ((y * a(z,u,w)) / y) = x / (y / a(z,u,w)).
x / (y / a(z,u,w)) = (x / y) * ((y * a(z,u,w)) / y).
x / ((y * K(x,y)) * ((x * y) \ x)) = (x * y) * (y \ K(y,x)).
x / ((y * K(x,y)) * ((x * y) \ x)) = (x * y) * ((y * K(x,y)) \ 1).
K(x \ y,x) * (y * K(x,y)) = (((y * x) / y) \ y) * x.
K(((x * y) / x) \ x,y) = K(y \ x,y).
(x * K(y,x)) / (T(y,x) * (x / y)) = K(((x * y) / x) \ x,y).
(x * K(y,x)) / ((x * K(y,x)) * K(y,((x * y) / x) \ x)) = K(((x * y) / x) \ x,y).
K(x * (R(x,y,z) \ u),x \ R(x,y,z)) * u = ((x \ R(x,y,z)) \ u) / (R(x,y,z) \ x).
((R(x,y,z) \ x) / T(u,x \ R(x,y,z))) * u = x * (R(x,y,z) \ K(u,R(x,y,z) \ x)).
x / L(y / a(z,u,w),a(z,u,y / (y / w)),x / y) = (x / y) * ((y * a(z,u,w)) / y).
((x / y) * (y / x)) * T(z,u * ((x / y) * (y / x))) = T(z,u) * ((x / y) * (y / x)).
(x * K(y,x)) * K(y,((x * y) / x) \ x) = T(y,x) * (x / y).
(x * K(y,x)) * K(y,((x * y) / x) \ x) = y * ((x * K(y,x)) / y).
(x / (x / y)) \ R(x / (x / y),z,u) = ((y \ x) * R(y,z,u)) / ((y \ x) * y).
((x \ y) * R(x,z,u)) / ((x \ y) * x) = (y / (y / x)) \ R(y / (y / x),z,u).
x * a((x * K(y,z)) / ((y * z) / y),z,K(y,z)) = R(x,K(y,z),z).
x * a((x * K(y,z)) / ((y * z) / y),z,K(y,z)) = R(x / z,z,K(y,z)) * z.
(K(x,y) / x) \ (y / (y * x)) = (y / (y * x)) * (x * K(y,x)).
(1 / (x * K(y,x))) \ (y / (y * x)) = (y / (y * x)) * (x * K(y,x)).
(x / (x * y)) * (y * K(x,y)) = (1 / (y * K(x,y))) \ (x / (x * y)).
L(x,y,K(L(z,u,w) \ 1,z)) = 1 * x.
L(x,y,K(L(z,u,w) \ 1,z)) = (z * (z \ 1)) * x.
L(x,y,K(L(z,u,w) \ 1,z)) = ((z \ 1) * T(z,z \ 1)) * x.
L(x,y,K(L(z,u,w) \ 1,z)) = K(z,z \ 1) * (K(z \ 1,z) * x).
L(x,y,K(L(z,u,w) \ 1,z)) = K(z,z \ 1) * (y \ (y * (K(z \ 1,z) * x))).
L(x,y,K(L(z,u,w) \ 1,z)) = (K(z \ 1,z) * y) \ (y * (K(z \ 1,z) * x)).
(K(x,y) / x) \ (y / (y * x)) = a(K(x,y) / x,x,y).
(K(x,y) / x) \ (y / (y * x)) = a(K(x,y) / x,x,y * 1).
a(K(x,y) / x,x,y * 1) = (K(x,y) / x) \ (y / (y * x)).
a(K(x,y) / x,x,y * K(K(x,y),y)) = (K(x,y) / x) \ (y / (y * x)).
(1 / x) * ((y / (y * x)) * x) = R((1 / x) * K(x,y),x,y).
R((1 / x) * K(x,y),x,y) = (1 / x) * ((y / (y * x)) * x).
L(T(x / (x * y),y),y,y \ 1) = R((1 / y) * K(y,x),y,x).
R(x \ K(x,y),x,y) = T(y / (y * x),x).
R(1 / ((x * y) / x),y,x) * ((1 / ((x * y) / x)) \ z) = ((x / (x * y)) * ((x * y) / x)) * z.
1 / ((x * (R(y,z,u) \ y)) / x) = x / (x * (R(y,z,u) \ y)).
x / (x * (R(y,z,u) \ y)) = 1 / ((x * (R(y,z,u) \ y)) / x).
R(1 / ((x * y) / x),y,x) = x / (x * y).
a(K(x,y) / x,x,y * K((K(x,y) / x) * x,y)) = (K(x,y) / x) \ (y / (y * x)).
R(K(x,y) / x,x,y) = y / (y * x).
(x * K(y,x)) / (y * x) = x / (x * y).
(x * y) \ ((1 / (((x * y) / x) / (x * y))) * ((x * y) / x)) = (y / (y * x)) \ (((x * y) / ((x * y) / x)) \ 1).
(x / (x * y)) \ (((y * x) / ((y * x) / y)) \ 1) = (y * x) \ ((1 / (((y * x) / y) / (y * x))) * ((y * x) / y)).
(x * y) \ ((1 / (((x * y) / x) / (x * y))) * ((x * y) / x)) = 1 / (((x * y) / ((x * y) / x)) * (y / (y * x))).
1 / (((x * y) / ((x * y) / x)) * (y / (y * x))) = (x * y) \ ((1 / (((x * y) / x) / (x * y))) * ((x * y) / x)).
(((x * y) / ((x * y) / x)) * (((x * y) / x) / (x * y))) \ z = ((x * y) \ ((1 / (y / (y * x))) * ((x * y) / x))) * z.
((x * y) \ ((1 / (y / (y * x))) * ((x * y) / x))) * z = (((x * y) / ((x * y) / x)) * (((x * y) / x) / (x * y))) \ z.
R(x \ (((x * y) / x) / y),x,y) = T(y / (y * x),x).
((x * y) / x) / (x * y) = y / (y * x).
((x * y) / x) / (x * y) = y / ((x \ (x * y)) * x).
x / ((y \ (y * x)) * y) = ((y * x) / y) / (y * x).
(x \ y) / ((x \ y) * x) = (y / x) / y.
(x \ y) / ((x \ y) * x) = (1 * (y / x)) / y.
R(1 / (x / (x / y)),x / (x / y),x / y) = (y \ x) / ((y \ x) * y).
R(1 / (x / (x / y)),x / (x / y),x / y) = T(x / y,y) / ((y \ x) * y).
L(x,y,K(L(z,u,w) \ 1,z)) = (K(L(z,v5,v6) \ 1,z) * y) \ (y * (K(z \ 1,z) * x)).
x \ ((x * (a(y,z,x) * u)) / a(y,z,x)) = T((x * u) / x,L(x,z,y)).
x \ ((x * (a(y,z,x) * u)) / a(y,z,x)) = x \ T(x * u,a(y,z,x) \ 1).
K(x,y) \ (T(y,x) \ T(y,z)) = R(K(y,z),y,T(y,x) \ 1).
K(x,y) \ (T(y,z) * (T(y,x) \ 1)) = R(K(y,z),y,T(y,x) \ 1).
(x * (T(x,y) \ 1)) \ (T(x,z) * (T(x,y) \ 1)) = R(K(x,z),x,T(x,y) \ 1).
R(K(x,y),x,T(x,z) \ 1) = (x * (T(x,z) \ 1)) \ (T(x,y) * (T(x,z) \ 1)).
(x * (1 / T(x,y))) \ (T(x,z) * (1 / T(x,y))) = R(K(x,z),x,T(x,y) \ 1).
(x * (1 / T(x,y))) \ (T(x,z) * (1 / T(x,y))) = R(K(x,z),x,1 / T(x,y)).
x / (y * ((y * x) \ x)) = (y * x) * (y \ 1).
((x * y) * (x \ 1)) \ y = x * ((x * y) \ y).
x * ((x * y) \ y) = ((x * y) * (x \ 1)) \ y.
x / ((y * K(x,y)) * ((x * y) \ ((y * K(x,y)) \ (x * y)))) = (x * y) * ((y * K(x,y)) \ 1).
x * (L(y,x \ 1,x) \ (x \ L(y,x \ 1,x))) = (L(y,x \ 1,x) * (x \ 1)) \ ((x \ 1) * y).
(L(x,y \ 1,y) * (y \ 1)) \ ((y \ 1) * x) = y * (L(x,y \ 1,y) \ (y \ L(x,y \ 1,y))).
(x \ y) / (x * (y \ (x \ y))) = y * (x \ 1).
x * ((x * y) \ (x \ (x * y))) = ((x * y) * (x \ 1)) \ y.
((x * y) * (x \ 1)) \ y = x * ((x * y) \ (x \ (x * y))).
(x * (y \ 1)) \ (y \ x) = y * (x \ (y \ x)).
x * (y \ (x \ y)) = (y * (x \ 1)) \ (x \ y).
x * ((x * (y / x)) \ (y / x)) = (y * (x \ 1)) \ (x \ y).
(x * (y \ 1)) \ (y \ x) = y * ((y * (x / y)) \ (x / y)).
(x * (y \ 1)) \ (x * (x \ (y \ x))) = y * ((y * (x / y)) \ (x / y)).
(x * (y \ 1)) \ (x * ((y * (x / y)) \ (x / y))) = y * ((y * (x / y)) \ (x / y)).
R((x * y) / ((x * y) / ((x * (y * z)) / z)),a(x,y,z),(x * (y * z)) / z) = ((x * (y * z)) / z) * K(x * y,(x * (y * z)) / z).
R(x / (x / y),y \ x,y) = y * K(x,y).
x * K(y,x) = R(y / (y / x),x \ y,x).
R(x / (x / y),y \ x,x / (x / y)) = y * K(x,y).
R(x / (x / y),y \ x,x / (x / y)) = K(x,y) * y.
K(x,y) * y = R(x / (x / y),y \ x,x / (x / y)).
R(1 / (x / (x / y)),x / (x / y),x / y) = T(x / y,(x / y) \ x) / ((y \ x) * y).
((x * K(y,x)) * ((T(y,x) * x) \ y)) * z = a(y,x * K(y,x),x \ K(x,y)) \ z.
a(x,y * K(x,y),y \ K(y,x)) \ z = ((y * K(x,y)) * ((T(x,y) * y) \ x)) * z.
(x \ T(y \ L(y,z,u),x \ 1)) / (x \ (a(u,z,y) \ 1)) = K(x \ 1,a(u,z,y)).
(x / (x * y)) * ((1 / ((x * y) / x)) \ z) = ((x / (x * y)) * ((x * y) / x)) * z.
(x / (x * y)) * ((K(y,x) / y) \ z) = ((x / (x * y)) * ((x * y) / x)) * z.
((x / (x * y)) * ((x * y) / x)) * z = (x / (x * y)) * ((K(y,x) / y) \ z).
((x / (x * y)) * (y * K(x,y))) * z = (x / (x * y)) * ((K(y,x) / y) \ z).
a((x * K(y,x)) \ 1,x * K(y,x),y) * z = (y / (y * x)) * ((K(x,y) / x) \ z).
(a(x \ 1,y,z) \ x) \ u = a(x \ 1,y,z) * (x \ u).
a(x \ 1,y,z) * (x \ u) = (a(x \ 1,y,z) \ x) \ u.
T(x,a(x \ 1,y,z)) = x.
T(x,x * (x \ a(x \ 1,y,z))) = x.
T(x,x * ((x \ 1) * a(x \ 1,y,z))) = x.
T(x,x * R(x \ 1,y,z)) = x.
(x * (x * R(x \ 1,y,z))) / x = x * R(x \ 1,y,z).
(x * R(x \ 1,y,z)) * K(x,x * R(x \ 1,y,z)) = x * R(x \ 1,y,z).
(x * R(x \ 1,y,z)) * K(x,x * R(x \ (x \ x),y,z)) = x * R(x \ 1,y,z).
L(T(x,x \ y),(x \ 1) * y,a(z,u,x)) = T(x,L(x,u,z) \ y).
L(T(x,x \ y),(x \ 1) * y,a(z,u,x)) = T(x,(L(x,u,z) \ 1) * y).
a(x,y,z) * ((z \ 1) * u) = (L(z,y,x) \ 1) * u.
((L(x,y,z) \ 1) * u) / ((x \ 1) * u) = a(z,y,x).
R(a(x,y,z),z \ 1,u) = a(x,y,z).
R(a(x,y,z),z \ 1,(1 / L(z,y,x)) \ u) = a(x,y,z).
R(a(x,y,z),z \ 1,(1 / L(z,y,x)) \ u) = u / ((1 / z) * ((1 / L(z,y,x)) \ u)).
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = R(a(u,z,y),y \ 1,(1 / L(y,z,u)) \ x).
R(a(x,y,z),z \ 1,(1 / L(z,y,x)) \ u) \ u = (1 / z) * ((1 / L(z,y,x)) \ u).
R(a(x,y,z),z \ 1,u) \ ((1 / L(z,y,x)) * u) = (1 / z) * u.
R(a(x,y,z),z \ 1,u) \ ((1 / L(z,y,x)) * u) = T(1 / z,a(x,y,z)) * u.
T(x,y) \ ((z * x) / z) = (T(x,y) \ 1) * ((x \ 1) \ K(z,x)).
T(x,y) \ ((z * (T(x,y) * K(y,x))) / z) = (T(x,y) \ 1) * ((x \ 1) \ K(z,x)).
L(a(x,y,T(x,L(x,z,u) * T(y,x))),z * x,u) = a(L(x,z,u),y,x).
L(a(x,y,T(x,a(z,u,x) \ (y * x))),u * x,z) = a(L(x,u,z),y,x).
L(T(a(x,y,x),L(x,z,u) * (y * x)),z * x,u) = a(L(x,z,u),y,x).
T(L(a(x,y,x),z * x,u),L(x,z,u) * (y * x)) = a(L(x,z,u),y,x).
T(L(a(x,y,x),z * x,u),x * (L(x,z,u) * T(y,x))) = a(L(x,z,u),y,x).
a(x,y,z) * (x \ K(u \ 1,a(x,y,z))) = x \ a(x,y,T(z,u)).
x \ a(x,y,T(z,u)) = a(x,y,z) * (x \ K(u \ 1,a(x,y,z))).
(x \ K(y,y \ x)) / (((y \ x) * y) \ 1) = ((y \ x) * y) * (x \ K(y,y \ x)).
R(a(x,y,z),z \ 1,u) \ (((1 / z) * a(x,y,z)) * u) = T(1 / z,a(x,y,z)) * u.
a(L(x,y,z),(u \ x) \ 1,u \ x) = (1 / (u \ x)) / (x \ u).
(1 / (x \ y)) / (y \ x) = a(L(y,z,u),(x \ y) \ 1,x \ y).
R(x / (x / y),z,u) * K(y,y \ x) = y * (((y \ x) * R(y,z,u)) / ((y \ x) * y)).
(x \ y) / ((x \ y) / (1 / (y \ x))) = 1 / (y \ x).
1 / (x \ y) = (y \ x) / ((y \ x) / (1 / (x \ y))).
T(x,y) / (K(x,y) * T(x,z)) = (K(x,y) * T(x,z)) \ T(x,y).
T(K(x,y) * T(x,z),K(x,z) \ 1) = K(x,y) * T(x,z).
T(x,y) \ ((z * (T(x,y) * K(y,x))) / z) = (T(x,y) \ 1) * T((z * x) / z,x \ 1).
(T(x,y) \ 1) * ((x \ 1) \ K(z,x)) = ((z * x) / z) * (x \ K(y,x)).
(T(x,y) \ 1) * T((z * x) / z,x \ 1) = ((z * x) / z) * (x \ K(y,x)).
(T(x,y) \ 1) * ((z * T(x,x \ 1)) / z) = ((z * x) / z) * (x \ K(y,x)).
K(x,y) \ (x \ ((1 / y) \ x)) = T(x,y) \ ((1 / y) \ x).
T(x,T(x,y) * ((z * K(y,x)) / x)) = T(x,R(z,K(y,x),T(x,y))).
T(x,T(x,y) * z) = T(x,z * T(x,y)).
T(x,T(x,y) * (z / T(x,y))) = T(x,z).
T(x,T(x,y) * (z / T(x,y))) = T(T(x,y),z) / K(T(x,z),y).
T(T(x,y),z) / K(T(x,z),y) = T(x,T(x,y) * (z / T(x,y))).
K(T(x,a(y,z,u) \ 1),u) = K(x,u).
K(x * K(a(y,z,u),x),u) = K(x,u).
K(x,y) = K(x * K(a(z,u,y),x),y).
K(T(x,a(y,z,u)),u) = K(x,u).
K(x,y) = K(T(x,a(z,u,y)),y).
K(x,y) * T(x,a(z,u,y)) = T(T(x,a(z,u,y)),y).
T(T(x,a(y,z,u)),u) = K(x,u) * T(x,a(y,z,u)).
K(x,a(y,z,u)) * T(x,u) = T(T(x,u),a(y,z,u)).
K(x,a(y,z,u)) * T(x,u) = T(T(x,a(y,z,u)),u).
T(T(x,a(y,z,u)),u) = K(x,a(y,z,u)) * T(x,u).
T(T(x,x * a(y,z,u)),u) = K(x,a(y,z,u)) * T(x,u).
((x * a(y,z,u)) / x) * (a(y,z,u) \ T(x,u)) = T(T(x,x * a(y,z,u)),u).
T(T(x,x * a(y,z,u)),u) = ((x * a(y,z,u)) / x) * (a(y,z,u) \ T(x,u)).
a(x,y,z) \ (((u * a(x,y,z)) / u) * T(u,z)) = T(T(u,u * a(x,y,z)),z).
a(x,y,z) \ ((u * (a(x,y,z) * T(u,z))) / u) = T(T(u,u * a(x,y,z)),z).
T(L(x,y,z) \ L(R(x,u,x),y,z),x * (L(x,y,z) * T(u,x))) = a(L(x,y,z),u,x).
x * a(y,(y / z) \ 1,z \ y) = x / ((y \ z) * (z \ y)).
x * a(y,(y / z) \ 1,y / z) = x / ((y \ z) * (z \ y)).
x * a(y,(y / z) \ 1,((y / z) \ 1) \ 1) = x / ((y \ z) * (z \ y)).
(x * K(y,x)) * ((T(y,x) * x) \ y) = x * ((y * x) \ y).
(x * K(y,x)) * ((T(y,x) * x) \ y) = R(y,x,x \ 1) \ y.
R(x,y,y \ 1) \ x = (y * K(x,y)) * ((T(x,y) * y) \ x).
R(x,y * K(x,y),(y * K(x,y)) \ 1) = R(x,y,y \ 1).
R(x,y * K(x,y),(y * K(x,y)) \ 1) = (x * y) * (y \ 1).
(x \ y) * (((x \ y) * x) \ x) = (y / x) * (y \ x).
(x / y) * (x \ y) = (y \ x) * (((y \ x) * y) \ y).
(x * ((y \ x) \ 1)) \ T(y,y \ x) = (x / y) * (x \ y).
x * a(y,(y / z) \ 1,((y / z) \ 1) \ 1) = x / ((z * ((y \ z) \ 1)) \ y).
x / ((y * ((z \ y) \ 1)) \ z) = x * a(z,(z / y) \ 1,((z / y) \ 1) \ 1).
R(x,y / x,y \ x) = y * ((x \ y) \ 1).
x * ((y \ x) \ 1) = R(y,x / y,x \ y).
R(x,y / x,x / y) = y * ((x \ y) \ 1).
x * ((y \ x) \ 1) = R(y,x / y,y / x).
(x * (y / x)) * ((y / T(x,y)) \ 1) = y * ((T(x,y) \ y) \ 1).
x * ((T(y,x) \ x) \ 1) = (y * (x / y)) * ((x / T(y,x)) \ 1).
L(x * ((y \ x) \ 1),y \ x,y) = T(x * ((x / y) \ 1),x).
R(x,y / x,(y / x) \ 1) = y * ((x \ y) \ 1).
R(x,y * K(x,y),(y * K(x,y)) \ 1) = ((y * K(x,y)) * x) * (y \ 1).
((x * K(y,x)) * y) * (x \ 1) = R(y,x * K(y,x),(x * K(y,x)) \ 1).
R(x,y / x,(y / x) \ 1) = y * (T(y / x,x) \ 1).
x * (T(x / y,y) \ 1) = R(y,x / y,(x / y) \ 1).
(x * y) * (T(x,y) \ 1) = R(y,x,x \ 1).
R(x,y,y \ 1) = (y * x) * (T(y,x) \ 1).
R(x,T(y,x),T(y,x) \ 1) = R(x,y,y \ 1).
T(x,y) / (y * ((y * x) \ x)) = R(x,T(y,x),T(y,x) \ 1).
T(x,y) * ((T(x,y) * y) \ y) = x * ((x * y) \ y).
a(x,y,y \ 1) \ K(x,y) = T(y,x) * ((T(y,x) * x) \ x).
T(a(x,y,z),u * z) = a(x,y,u \ ((1 / z) \ u)).
a(x,y,z \ ((1 / u) \ z)) = T(a(x,y,u),z * u).
a(x,y,y \ 1) \ K(x,T(y,x)) = T(y,x) * ((T(y,x) * x) \ x).
x \ ((y * x) * (T(y,x) \ 1)) = a(x,y,y \ 1).
a(x,y,T(y,x * z) \ 1) = a(T(x,z),y,y \ 1).
a(x,y,T(y,x) \ 1) = a(x,y,y \ 1).
a(x,y,T(1 / z,u) \ 1) = T(a(x,y,z),u).
a(x,y,T(z,u) \ 1) = T(a(x,y,z \ 1),u).
a(x,y,T(z,u) \ 1) = T(a(x,y,1 / z),u).
a(x,y,((1 / z) \ u) \ u) = a(x,y,T(z,u) \ 1).
a(x,y,T(z \ 1,u * z)) = a(x,y,((1 / z) \ u) \ u).
a(x,y,((1 / z) \ u) \ u) = a(x,y,T(z \ 1,u * z)).
a(x,y,T(1 / z,u * z) \ 1) = a(x,y,u \ ((1 / z) \ u)).
T(1 / x,y * x) = ((1 / x) \ y) \ y.
((1 / x) \ T(y,x)) \ T(y,x) = T(1 / x,y * x).
(((1 / (1 / x)) \ 1) \ T(y,x)) \ T(y,x) = T(1 / x,y * x).
(((1 / (1 / x)) \ 1) \ T(y,x)) \ T(y,x) = T(1 / x,y * (1 / (1 / x))).
T(1 / x,y * (1 / (1 / x))) = (((1 / (1 / x)) \ 1) \ T(y,x)) \ T(y,x).
(L(x,y,z) * T(u,x)) / x = u / a(z,y,T(x,u)).
x * (a(y,z,T(u,x)) \ u) = L(u,z,y) * T(x,u).
x * (a(y,z,T(u,T(x,u))) \ u) = L(u,z,y) * T(x,u).
T(x,y) * L(T(y,T(x,y)),z,u) = x * (a(u,z,T(y,T(x,y))) \ y).
T(x,y) * L(T(x,y) \ (x * y),z,u) = x * (a(u,z,T(y,T(x,y))) \ y).
T(x,y) * L(T(x,y) \ (x * y),z,u) = (x / a(u,z,T(y,T(x,y)))) * y.
(x / a(R(x,y,z),u \ 1,u)) / ((R(x,y,z) / u) / (1 / u)) = R(x,y,z) \ x.
R(x,y * x,x \ R(x,z,u)) = L(R(x,y,R(x,z,u)),y,x).
x * R(x \ y,x,K(x,z)) != y * u | a((y * K(x,z)) / T(x,z),x,K(x,z)) = u.
x * a((x * K(y,z)) / T(y,z),y,K(y,z)) = y * R(y \ x,y,K(y,z)).
x * a((x * K(y,z)) / T(y,z),y,K(y,z)) = R(x / y,y,K(y,z)) * y.
L(x * ((y / z) * (z / y)),u,w) = L(x,u,w) * ((y / z) * (z / y)).
(x * y) \ (x * (y * (z * ((u / w) * (w / u))))) = L(z,y,x) * ((u / w) * (w / u)).
(x * K(y,y \ z)) * ((y \ z) * y) = x * (z * T(a(x,K(y,y \ z),z),y)).
(x * K(y,y \ z)) * ((y \ z) * y) = (x * z) * T(a(x,K(y,y \ z),z),y).
(x * y) * T(a(x,K(z,z \ y),y),z) = (x * K(z,z \ y)) * ((z \ y) * z).
(x * y) \ (x * ((y * z) * ((u / w) * (w / u)))) = L(z,y,x) * ((u / w) * (w / u)).
a(x,y,T(z,u)) \ T(u * a(x,y,T(z,u)),T(z,u)) = T(u,z * a(x,y,z)).
K(K(x,y) * ((y \ 1) * z),y) = K(y \ (K(x,y) * z),y).
K(x \ (K(y,x) * z),x) = K(K(y,x) * ((x \ 1) * z),x).
K(x \ (K(y,(x \ 1) \ 1) * z),x) = K(K(y,x) * ((x \ 1) * z),x).
K(K(x,y) * ((y \ 1) * z),y) = K(y \ (K(x,(y \ 1) \ 1) * z),y).
(1 / ((x * y) \ x)) * z = y * (a(x,y,y \ 1) * z).
(1 / ((x * y) \ x)) * z = (y * a(x,y,y \ 1)) * z.
(1 / ((x * y) \ x)) * z = (a(x,y,y \ 1) * y) * z.
(a(x,y,y \ 1) * y) * z = (1 / ((x * y) \ x)) * z.
((x / (1 / y)) / y) \ (((x * y) \ x) * y) = T(1 / x,(x / (1 / y)) / y).
T(1 / x,(x / (1 / y)) / y) = ((x / (1 / y)) / y) \ (((x * y) \ x) * y).
(((x * y) \ x) * y) / ((x / (1 / y)) / y) = 1 / x.
L(x * a(y \ 1,y,z),u,w) = L(x,u,w) * a(y \ 1,y,z).
((x * (1 / (1 / y))) * R(1 / y,z,u)) / (y * R(y \ 1,z,u)) = R(x,(1 / y) \ 1,R(1 / y,z,u)).
((x * (1 / y)) * R(y,z,u)) / (y \ R(y,z,u)) = R(x,y \ 1,R(y,z,u)).
(x * (1 / y)) \ (z * (1 / y)) = (x * (y \ 1)) \ (z * (y \ 1)).
R(T(x / y,y * (z \ 1)),y,z \ 1) = (y * (1 / z)) \ (x * (1 / z)).
R(1 / (K(x \ y,x) / x),x \ 1,y) = ((1 / x) * y) \ y.
(x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u.
R(1 / x,x,y * ((x * y) \ x)) = (((x * y) \ x) * y) / ((x / (1 / y)) / y).
x / (R(y,z / u,u / z) \ y) = x * a(y,(u / z) \ 1,((u / z) \ 1) \ 1).
R(x,(y / z) \ 1,y / z) = R(x,z / y,y / z).
R(x,y / z,z / y) = R(x,(z / y) \ 1,z / y).
R(x,y / (z * y),z) = R(x,z \ 1,z).
R(x,y,a(z \ 1,z,u) \ z) = R(x,y,z).
R(x,y / x,x / y) = R(x,y / x,y \ x).
x * a(x,y / z,z / y) = R(x,y / z,z / y).
R(x,y / z,z / y) = x * a(x,y / z,z / y).
R(x,y,a(z \ 1,z,u) \ z) = R(x,y,(z * u) / u).
R(x,y,(z / u) \ 1) = R(x,y,u / z).
R(x,y,z / u) = R(x,y,(u / z) \ 1).
R(x,y,(z \ u) / u) = R(x,y,z \ 1).
R(x,y,z * R(u \ 1,u,w)) = R(x,y,z * (w / (u * w))).
R(x,y,(z \ 1) \ u) = R(x,y,z * u).
R(x,y,z * u) = R(x,y,(z \ 1) \ u).
R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z.
R(1 / (K(x \ y,x) / x),x \ 1,y) = ((1 / x) * y) \ (1 * y).
(R(x,L(y,z,u) \ 1,y) / y) \ (x * (1 / L(y,z,u))) = a(u,z,y).
R(x,L(y,z,u) \ 1,L(y,z,u)) = R(x,L(y,z,u) \ 1,y).
((x * (1 / y)) * R(y,z,u)) / (R(y,z,u) / y) = R(x,y \ 1,R(y,z,u)).
R(x,(y \ 1) \ 1,z) = R(x,y,z).
R(x,y,z) = R(x,(y \ 1) \ 1,z).
R(x,1 / y,z) = R(x,y \ 1,z).
R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)).
R(x,1 / (1 / y),z) = R(x,y,z).
R(x,y,z * (u * K(w,w \ 1))) = R(x,y,z * u).
R(x,y,z * ((u \ 1) \ 1)) = R(x,y,z * u).
R(x,y,(1 / z) * u) = R(x,y,z \ u).
R(x,y,z \ u) = R(x,y,(1 / z) * u).
R(T(x / y,y * (1 / z)),y,z \ 1) = (y * (1 / z)) \ (x * (1 / z)).
R(x,y,L(1 / z,u,w)) = R(x,y,L(z \ 1,u,w)).
R(x,y,L(z \ 1,u,w)) = R(x,y,L(1 / z,u,w)).
R(x,y,1 / z) = R(x,y,z \ 1).
R(x,y,z \ 1) = R(x,y,1 / z).
R(x,y,K(z,z \ 1) * u) = R(x,y,u).
R(x,y,z) = R(x,y,K(u,u \ 1) * z).
R(x,y,((z * u) \ z) * u) = R(x,y,u * ((z * u) \ z)).
R(x,y,R(z \ 1,z,z \ u)) = R(x,y,(z \ u) / u).
R(x,y,(z \ 1) \ 1) = R(x,y,z).
R(x,y,z) = R(x,y,(z \ 1) \ 1).
R(x,y,z * K(u,u \ 1)) = R(x,y,z).
R(x,y,z \ ((1 / z) \ u)) = R(x,y,u).
R(x,y,R(z \ 1,z,u)) = R(x,y,z \ 1).
R(x,y,z * K(u \ 1,u)) = R(x,y,z).
R(x,y,z * a(u \ 1,u,w)) = R(x,y,z).
(x * y) \ (x * (y * (z * a(u \ 1,u,w)))) = L(z,y,x) * a(u \ 1,u,w).
((x * y) * (z * a(u \ 1,u,w))) / (y * (z * a(u \ 1,u,w))) = R(x,y,z).
T(a(x,y,z),u) * (z * w) = z * (T(a(x,y,z),u) * w).
a(x,y,T(z,z \ u)) * (z * w) = z * (T(a(x,y,z),u) * w).
x * (T(a(y,z,x),u) * w) = a(y,z,T(x,x \ u)) * (x * w).
x / (x * K(a(y,z \ 1,z) * x,(y \ (y / z)) * z)) = K(a(y,z \ 1,z) \ 1,a(y,z \ 1,z) * x).
x / (x * K(y * x,y \ 1)) = K(y \ 1,y * x).
K(R(x \ 1,x,y),x * y) = y / (y * K(x * y,x \ 1)).
x / (x * K(y * x,y \ 1)) = K(R(y \ 1,y,x),y * x).
K(R(1 / x,x,y),x * y) = y / (y * K(x * y,x \ 1)).
K(R(1 / x,x,y),R(1 / x,x,y) \ y) = y / (y * K(x * y,x \ 1)).
K(x * y,K(y,z)) = K(y * x,K(y,z)).
K(x * y,K(x,z)) = K(y * x,K(x,z)).
T(K(x,y),x * z) \ K(x,y) = K(z * x,K(x,y)).
K(x * y,K(y,z)) = T(K(y,z),y * x) \ K(y,z).
T(K(x,y),z * x) = T(K(x,y),x * z).
T(K(x,y),x * z) = T(K(x,y),z * x).
T(K(x,y),z * x) = K((((x \ 1) \ z) \ z) \ 1,y).
K((((x \ 1) \ y) \ y) \ 1,z) = T(K(x,z),y * x).
T(x \ 1,y * x) = ((x \ 1) \ y) \ y.
T(x \ 1,y * x) = T(x \ 1,x * y).
T(x \ 1,R(x * y,x \ 1,x)) = T(x \ 1,y * x).
T(x \ 1,R(x * y,x \ 1,x)) = T(x \ 1,T(y * x,x \ 1)).
(a(x,y,z) \ a(u,w,v5)) * (v6 * a(x,y,z)) = T(a(u,w,v5) * v6,a(x,y,z)).
T(a(x,y,z) * u,a(w,v5,v6)) = (a(w,v5,v6) \ a(x,y,z)) * (u * a(w,v5,v6)).
(x * y) \ (x * ((y * z) * a(u \ 1,u,w))) = L(z,y,x) * a(u \ 1,u,w).
((x * y) * (z * a(u \ 1,u,w))) / ((y * z) * a(u \ 1,u,w)) = R(x,y,z).
x * (K(a(y,z,x),u) * (a(y,z,x) * w)) = a(y,z,T(x,x \ u)) * (x * w).
a(x,y,T(z,z \ u)) * (z * w) = z * (K(a(x,y,z),u) * (a(x,y,z) * w)).
x * ((y / (x \ 1)) \ (x \ (y / (x \ 1)))) = (y / (x \ 1)) / (x * y).
(x / (y \ 1)) / (y * x) = y * ((x / (y \ 1)) \ (y \ (x / (y \ 1)))).
x / (y * (x * (y \ 1))) = y * (x \ (y \ x)).
(x * (y \ (x \ y))) \ y = x * (y * (x \ 1)).
(x * (y \ (x \ y))) \ y = 1 \ (x * (y * (x \ 1))).
L(T(x,y \ 1),y \ 1,y) = (y * (x \ (y \ x))) \ x.
L(T(x,y),x \ (z \ x),z) = L(T(x,y),z \ 1,z).
L(T(x,y),z \ 1,z) = L(T(x,y),x \ (z \ x),z).
L(T(x,y),x \ (z \ x),z) = T(L(x,z \ 1,z),y).
L(x,x \ (y \ x),y) = L(x,y \ 1,y).
L(x,x \ (y \ x),y) = a(y,y \ 1,x) \ x.
a(x,y \ (x \ y),y) = a(x,x \ 1,y).
K(x \ 1,y) * a(x,x \ 1,y) = x * (y \ (x \ y)).
K(x,y) * a(z,u,y) = a(z,u,y) * K(x,y).
T(a(x,y,z),K(u,z)) = a(x,y,z).
T(a(x,y,z),K(u,z)) = L(a(x,y,z),w,a(v5,v6,v7)).
T(1 * a(x,y,z),K(u,z)) = L(a(x,y,z),w,a(v5,v6,v7)).
T((K(x,y) / K(x,y)) * a(z,u,y),K(x,y)) = L(a(z,u,y),w,a(v5,v6,v7)).
T(x,R(y,z,T(x,u)) \ y) = x.
T(x,R(y,z,T(x,u)) \ y) = K(u,x) * T(x,u).
K(x,y) * T(y,x) = T(y,R(z,u,T(y,x)) \ z).
1 / (x / (x * (y \ R(y,z,u)))) = (x * (y \ R(y,z,u))) / x.
x * L(y,z,u) != (y / u) \ L(y,z,u) | x = u / y.
a(x,y,K(((z \ 1) \ u) \ 1,w)) = a(x,y,K((z * u) \ 1,w)).
a(x,y,K((z * u) \ 1,w)) = a(x,y,K(((z \ 1) \ u) \ 1,w)).
x * T(x \ a(y,z,u),a(y,z,u)) = a(y,z,T(u,x)).
x * T(x \ a(y,z,u),a(y,z,u)) = T(a(y,z,u),(x \ 1) \ u).
x \ (y * T(y \ a(x,z,u),a(x,z,u))) = a(x,z,u) * (x \ K(y \ 1,a(x,z,u))).
x / T(a(y,z,u) \ 1,w) != x * v5 | T(a(y,z,u),w) = v5.
x / T(a(y,z,u) \ 1,w) = x * T(a(y,z,u),w).
x / T(a(y,z,u) \ 1,w) != x * v5 | a(y,z,T(u,u \ w)) = v5.
x / T(a(y,z,u) \ 1,w) = x * a(y,z,T(u,u \ w)).
x * a(y,z,T(u,u \ w)) = x / T(a(y,z,u) \ 1,w).
x * (K(y,a(z,u,w) \ 1) * a(z,u,w)) = x / T(a(z,u,w) \ 1,y).
x / T(a(y,z,u) \ 1,w) = x * (K(w,a(y,z,u) \ 1) * a(y,z,u)).
(x * K(y,a(z,u,w) \ 1)) * a(z,u,w) = x / T(a(z,u,w) \ 1,y).
x / K(a(y,z,u) \ 1,w) = x * K(w,a(y,z,u) \ 1).
x * K(y,a(z,u,w) \ 1) = x / K(a(z,u,w) \ 1,y).
a(x,y,z / (z / u)) \ a(x,y,u) = K(z,a(x,y,u) \ 1).
x * y != x / K(x,z) | y = K(z,x).
(T(x,y) / z) * (z / a(R(x,u,w),y,x)) = T(x,R(x,u,w) * y).
T(x,y) \ ((T(x,y) * z) * x) = z * (x * a(x,z,T(x,y))).
T(x,y) \ ((T(x,y) * z) * x) = z * (x * T(a(x,z,x),x * y)).
T(a(x,y,x),z) * (y * x) = y * (x * T(a(x,y,x),z)).
T(a(x,y,x),z) * (y * x) = (y * x) * T(a(x,y,x),z).
T(x \ R(x,y,z),u * (x \ R(x,y,z))) = u \ (R(x,y,z) * (x \ u)).
x \ (R(y,z,u) * (y \ x)) = T(y \ R(y,z,u),x * (y \ R(y,z,u))).
T(x \ R(x,y,z),u * (x \ R(x,y,z))) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),(x \ R(x,y,z)) * u) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),R(x,y,z) * (x \ u)) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),u) = T(x \ R(x,y,z),R(x,y,z) * (x \ u)).
x * (a(y,z,u / (u / w)) \ a(y,z,w)) = x / K(a(y,z,w) \ 1,u).
x / K(a(y,z,u) \ 1,w) = x * (a(y,z,w / (w / u)) \ a(y,z,u)).
L(x / (x / y),z,u) \ x = (x / y) * R(a(u,z,y),x / y,y).
x * (K(x * y,a(z,u,x)) * y) = T(x * y,a(z,u,x)).
T(x * y,a(z,u,x)) = x * (K(x * y,a(z,u,x)) * y).
K(x,a(y,z,u)) * (u * w) = u * (K(x,a(y,z,u)) * w).
x * (K(y,a(z,u,x)) * w) = K(y,a(z,u,x)) * (x * w).
(T(x,y) / z) * (z / a(x,y,R(T(x,y),u,w))) = T(x,R(x,u,w) * y).
x \ ((y * x) * (T(y,x) \ 1)) = a(x,y,T(y,x) \ 1).
a(x,T(y,x),T(y,x) \ 1) = a(x,y,T(y,x) \ 1).
a(x,y,T(y,x) \ 1) = a(x,T(y,x),T(y,x) \ 1).
(1 / ((x * y) \ y)) / T(x,y) = a(y,x,T(x,y) \ 1).
(1 / ((x * y) \ T(x,y))) / T(y,x) = a(x,y,T(y,x) \ 1).
(x * K(y,x)) / (T(y,x) * (x / y)) = K(y \ x,y).
(x * K(y,x)) / (T(y,x) * (x / y)) = K(y \ x,T(y,x)).
K(x * (L(y,z,u) \ 1),y) = K(x / L(y,z,u),y).
K(T(x / L(y,z,u),y),y) = K(x * (L(y,z,u) \ 1),y).
K(x * (L(y,z,u) \ 1),y) = K(T(x / L(y,z,u),y),y).
K(x * y,R(y \ 1,y,x)) = K(x * y,y \ 1).
K(x * y,T(y,x) \ 1) = K(x * y,y \ 1).
K(x * y,y \ 1) * x = x * K(x * y,y \ 1).
K((1 * (K(x,y) / x)) * z,L((y * x) / y,y / (y * x),1)) = K(z * (1 * (K(x,y) / x)),(1 * (K(x,y) / x)) \ 1).
K(x * (1 * (K(y,z) / y)),(1 * (K(y,z) / y)) \ 1) = K((1 * (K(y,z) / y)) * x,L((z * y) / z,z / (z * y),1)).
((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1).
K(x * y,y \ 1) * x = ((y \ 1) \ x) * (y \ 1).
K(x * y,y \ 1) = K(y * x,y \ 1).
K(x * y,x \ 1) = K(y * x,x \ 1).
K(x * (y / x),x \ 1) = K(y,x \ 1).
K(x,y \ 1) = K(y * (x / y),y \ 1).
K((x \ 1) \ (y / x),x \ 1) = K(y,x \ 1).
K(x * (a(y,z,u) * (u \ 1)),u) = K(T(x / L(u,z,y),u),u).
((x \ 1) * (y * x)) \ (y * x) = y \ ((x \ 1) \ y).
K(x,y) * ((y * x) * T(z,x * y)) = L(z,y * x,K(x,y)) * (x * y).
T(a(x,y,R(T(z,u \ 1),w,v5)),u) = a(x,y,R(z,w,v5)).
a(x,y,R(z,u,w)) = T(a(x,y,R(T(z,v5 \ 1),u,w)),v5).
a(x,y,z * K(u \ 1,z)) = T(a(x,y,z),u).
a(x,y,(z \ u) * z) = a(x,y,u * K(z \ 1,u)).
(x * (y \ 1)) * (x / (x * (y \ 1))) = (y \ x) * y.
T(x,(L(x,y,z) \ 1) * u) = T(x,L(x,y,z) \ u).
T(1 / x,y / (x \ 1)) = T(1 / x,x * y).
T(1 / x,L(y,x \ 1,x)) = T(1 / x,y).
T(x,L(y,x,x \ 1)) = T(x,y).
T(x,y) = T(x,L(y,x,x \ 1)).
T(x,L(y,x,x \ 1)) = K(y,x) \ x.
K(L(x,y,y \ 1),y) = K(x,y).
K(K(x,x \ 1) * y,x) = K(L(y,x,x \ 1),x).
((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x).
R(T(x,y),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x).
R(T(x,y / x),x \ 1,y) = ((x \ 1) * y) \ y.
R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y.
K(((x \ 1) \ 1) * (x \ y),x) = K(L(y,x,x \ 1),x).
(x * (y \ 1)) * (x / (x * (y \ 1))) = x * K(y \ x,y).
K((x \ 1) \ (y / x),x \ 1) = K(y * K(x,x \ 1),x \ 1).
K(x * K(y,y \ 1),y \ 1) = K((y \ 1) \ (x / y),y \ 1).
K((x * a(y,z,u)) * (u \ 1),u) = K(T(x / L(u,z,y),u),u).
K(x * (y \ 1),y) = K(y \ x,y).
K(x \ y,x) = K(y * (x \ 1),x).
K(x \ (y / (x \ 1)),x) = K(y,x).
K(x,y) = K(y \ (x / (y \ 1)),y).
K((x / (y \ 1)) / y,y) = K(x,y).
K((x / (y \ 1)) / y,y) = K(x / 1,y).
T(T(x * y,x) / (y * x),z) * (y * x) = (y * x) * T(a(x,y,x),z).
(x * y) \ T(y * x,y) = a(y,x,y).
(((x * y) \ K(x,y)) / K(x,y)) * (x * y) = a((x * y) \ 1,x * y,(y * x) \ 1).
a((x * y) \ 1,x * y,(y * x) \ 1) = (((x * y) \ K(x,y)) / K(x,y)) * (x * y).
K((x / (y \ 1)) / y,y) = K(x / (y * (y \ 1)),y).
K(x / (y * (y \ 1)),y) = K((x / (y \ 1)) / y,y).
K(R(x,y,y \ 1),y) = K(x,y).
K(x,y) = K(R(x,y,y \ 1),y).
K(R(x,y,y \ 1),y) = T(y,x) \ y.
T(1 / x,R(y,x \ 1,x)) = T(1 / x,y).
T(x \ 1,R(y,x \ 1,x)) = T(x \ 1,y).
T(x,R(y,x,x \ 1)) = T(x,y).
T(x,R(y,x,x \ 1)) = y * (T(y,x) \ x).
T(x,R(y,x,x \ 1)) = T(y,x) \ (y * x).
T(x,(y * x) * (x \ 1)) = T(y,x) \ (y * x).
K(K(x \ y,x),y * K(x,y)) = 1.
(x * K(y,x)) / (T(y,((x * y) / x) \ x) * (((x * y) / x) \ x)) = K(((x * y) / x) \ x,y).
K(((x * y) / x) \ x,y) = (x * K(y,x)) / (T(y,((x * y) / x) \ x) * (((x * y) / x) \ x)).
(x * K(y,x)) / (T(T(y,x),y \ x) * (y \ x)) = K(y \ x,T(y,x)).
K(x \ y,T(x,y)) = (y * K(x,y)) / (T(T(x,y),x \ y) * (x \ y)).
K(x,y) = (y * x) / (T(y,x) * x).
R(K(x,y),T(y,x),x) = K(x,y).
K((x \ R(x,y,z)) \ u,x \ R(x,y,z)) * u = ((x \ R(x,y,z)) \ u) / (R(x,y,z) \ x).
((x \ R(x,y,z)) \ u) / (R(x,y,z) \ x) = K((x \ R(x,y,z)) \ u,x \ R(x,y,z)) * u.
(((x * (y * z)) / z) \ (x * y)) * ((x * (y * z)) / z) = K(a(x,y,z),(x * (y * z)) / z) * (x * y).
K(a(x,y,z),(x * (y * z)) / z) * (x * y) = (((x * (y * z)) / z) \ (x * y)) * ((x * (y * z)) / z).
(x * y) * a(x,K(z,z \ y),(z \ y) * z) = (x * K(z,z \ y)) * ((z \ y) * z).
K(R(1 / x,x,y),R(1 / x,x,y) \ y) = y / ((x * y) * R(1 / x,x,y)).
x / ((y * x) * R(1 / y,y,x)) = K(R(1 / y,y,x),R(1 / y,y,x) \ x).
(x \ K(y,y \ x)) / (((y \ x) * y) \ 1) = (K(y,y \ x) \ x) * (x \ K(y,y \ x)).
K(((x * y) / x) \ x,y) * (x * K(y,x)) = (((x * y) / x) \ x) * y.
T(x * y,z) / (y * x) = (y * x) \ T(x * y,z).
K(x,a(y,y \ 1,z)) * ((((y \ z) / z) * y) * x) = x * (((y \ z) / z) * y).
(x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)).
R(x,K(y,z),z * y) * (y * z) = (x * K(y,z)) * (z * y).
(x * y) * L(z,y * x,K(x,y)) = K(x,y) * ((y * x) * z).
K(x \ y,x) * y = (x \ y) * x.
K(x,x \ y) * ((x \ y) * x) = y.
R(K(x,T(y,x)),T(y,x),x) = K(x,y).
R(K(x,y),y,x) = K(x,y).
K(x,y) = R(K(x,y),y,x).
x / ((y \ x) * y) = K(y,y \ x).
K(x,x \ y) = y / ((x \ y) * x).
K(x,y) * (y * x) = x * y.
a(x,y,(z * u) \ K(z,u)) = a(x,y,(u * z) \ 1).
a(x,y,(z * u) \ 1) = a(x,y,(u * z) \ K(u,z)).
K(x,x \ y) \ y = (x \ y) * x.
(x \ y) * x = K(x,x \ y) \ y.
K(x,y) = (x * y) / (y * x).
(x * y) / (y * x) = K(x,y).
K(x,y) \ (x * y) = y * x.
(x * (y / x)) / y = K(x,x \ y).
T(K(x,y),y * x) = K(x,y).
T(x,K(y,y \ x)) = x.
T(x * y,K(y,x)) = x * y.
K(K(x \ y,T(x,y)),y * K(x,y)) = 1.
K(K(x,y),y * x) = 1.
T(x,K(y \ x,y)) = x.
K(K(x \ y,x),y) = 1.
T(K(x \ y,x),y) = K(x \ y,x).
L(T(x,x \ y),(x \ 1) * y,a(z,u,x)) = T(x,a(z,u,x) * ((x \ 1) * y)).
T(x,(x \ 1) * (a(y,z,x) * u)) = T(x,L(x,z,y) \ u).
R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ (1 * y).
T(x \ 1,((x \ 1) \ 1) * R(y,x,x \ 1)) = T(x \ 1,T(y * x,x \ 1)).
T(x,x \ T(y,x \ 1)) = T(x,y * (x \ 1)).
T(x,y * (x \ 1)) = T(x,x \ T(y,x \ 1)).
T(x,(x \ 1) * y) = T(x,x \ y).
T(x,x \ y) = T(x,(x \ 1) * y).
K(x \ (((x \ 1) \ 1) * y),x) = K(L(y,x,x \ 1),x).
R(1 / (K(x \ y,x) / x),1 / x,y) = ((1 / x) * y) \ (1 * y).
T(K(x \ y,x),y) = K((x \ 1) * y,x).
K(((x * y) / x) \ z,(x * y) / x) = K((y \ K(y,x)) * z,(x * y) / x).
K((x \ K(x,y)) * z,(y * x) / y) = K(((y * x) / y) \ z,(y * x) / y).
T(x,(x \ 1) * y) = K(x \ y,x) \ x.
K(K(x,(y \ 1) \ 1) * ((y \ 1) * z),y) = K(y \ (K(x,(y \ 1) \ 1) * z),y).
K(x \ ((x \ 1) \ y),x) = K(y,x).
K(x,y) = K(y \ ((y \ 1) \ x),y).
K((x \ 1) * y,x) = K(x \ y,x).
K(x \ L(y,z,x),x) = K(x \ y,x).
K(x / y,(x / y) \ L(x,z,y)) = K(y \ L(x,z,y),y).
K(a(x,x \ 1,y),T(z,x \ y)) * R(T(z,x \ y),a(x,x \ 1,y),a(x,x \ 1,y) \ 1) = (((x \ 1) * y) \ (z * (x \ y))) * (a(x,x \ 1,y) \ 1).
K(x,y) * R(y,x,x \ 1) = (x * y) * (x \ 1).
(x * y) * (x \ 1) = K(x,y) * R(y,x,x \ 1).
R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1).
R((x * y) / x,x,x \ 1) = R(y,x,x \ 1) * K(x,y).
(x * R(y,x,x \ 1)) / x = R(y,x,x \ 1) * K(x,y).
K(x,R(y,x,x \ 1)) = K(x,y).
K(x,((x \ 1) \ y) * (x \ 1)) = K(x,R(y,x,x \ 1)).
K(x,((x \ 1) \ y) * (x \ 1)) = K(x,(x * y) * (x \ 1)).
K(x \ 1,(x \ 1) \ (y \ 1)) = K(x \ 1,y \ x).
K(x,((x \ 1) \ y) * (x \ 1)) = K(x,y).
K(x,x \ T(y,x \ 1)) = K(x,y * (x \ 1)).
K(x,y * (x \ 1)) = K(x,x \ T(y,x \ 1)).
K(x,x \ ((x \ 1) \ y)) = K(x,y).
K(x,y) = K(x,x \ ((x \ 1) \ y)).
K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)).
K(x,x \ (y \ 1)) = K(x,y \ (x \ 1)).
K(x,(x \ 1) * y) = K(x,x \ y).
K(x,x \ L(y,z,x)) = K(x,x \ y).
K((x / y) \ L(x,z,y),x / y) = K(y,y \ L(x,z,y)).
L(K(x,y) / y,y,x) \ 1 = 1 / ((y * x) \ x).
(((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y).
1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y.
K(x,x \ 1) * ((x * y) \ y) = 1 / (1 / ((x * y) \ y)).
1 / (1 / ((x * y) \ y)) = K(x,x \ 1) * ((x * y) \ y).
(x * y) \ (y * K(x,x \ 1)) = 1 / (1 / ((x * y) \ y)).
(x * y) \ (y * K(T(x,y),(x * y) \ y)) = 1 / (1 / ((x * y) \ y)).
x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)).
x \ (y * K(y \ x,x \ y)) = 1 / (1 / ((y * (y \ x)) \ y)).
T(K(x,y) / (T(y,x) \ L(y,z,u)),K(x,y)) = L(a(u,z,y),w,a(v5,v6,v7)).
T(x / (x / a(y,z,u)),x) = L(a(y,z,u),w,a(v5,v6,v7)).
a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z).
a(x,y,z) = a(x,y,L(z,u,a(w,v5,v6))).
a(x,y,z) \ (a(u,w,v5) * (v6 * a(x,y,z))) = T(a(u,w,v5) * v6,a(x,y,z)).
T(a(x,y,z) * u,a(w,v5,v6)) = a(w,v5,v6) \ (a(x,y,z) * (u * a(w,v5,v6))).
L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z).
(a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)).
a(x,y,z) \ (u * a(w,v5,v6)) = (a(x,y,z) \ u) * a(w,v5,v6).
(a(x,y,z) \ u) * a(w,v5,v6) = a(x,y,z) \ (u * a(w,v5,v6)).
x \ (y * K(y \ x,(y \ x) \ 1)) = 1 / (1 / ((y * (y \ x)) \ y)).
a(x,y,z \ 1) \ (z * ((u * a(x,y,z \ 1)) / u)) = ((u * a(x,y,z \ 1)) / u) * (a(x,y,z \ 1) \ z).
1 / T(R(x,y,z) \ x,R(x,y,z) * (x \ u)) = T(x \ R(x,y,z),u).
1 / T(R(x,y,z) \ x,u) = T(x \ R(x,y,z),u).
T(x \ R(x,y,z),u) \ 1 = T(R(x,y,z) \ x,u).
T(x \ R(x,y,z),u) \ 1 = T((x \ R(x,y,z)) \ 1,u).
T((x \ R(x,y,z)) \ 1,u) = T(x \ R(x,y,z),u) \ 1.
(x / (y \ L(x,z,u))) * a(w,v5,v6) = a(u,z,x) * (y * a(w,v5,v6)).
a(x,y,z) * (u * a(w,v5,v6)) = (z / (u \ L(z,y,x))) * a(w,v5,v6).
(L(x,y,z) / (u \ x)) * a(w,v5,v6) = a(z,y,x) \ (u * a(w,v5,v6)).
a(x,y,z) \ (u * a(w,v5,v6)) = (L(z,y,x) / (u \ z)) * a(w,v5,v6).
T(R(x,y,z) \ x,R(x,y,z) * (x \ u)) = T(R(x,y,z) \ x,u).
(K(x,y) \ (y \ K(x,y))) \ 1 = T(y,y \ 1).
(K(x,y) \ (y \ K(x,y))) \ 1 = K(y \ 1,y) \ y.
K(x \ 1,x) \ x = (K(y,x) \ (x \ K(y,x))) \ 1.
T(x * (y \ R(y,z,u)),y \ R(y,z,u)) = T(x,y \ R(y,z,u)) * (y \ R(y,z,u)).
T(x,y \ R(y,z,u)) * (y \ R(y,z,u)) = T(x * (y \ R(y,z,u)),y \ R(y,z,u)).
T(R(x,y,z) \ x,(R(x,y,z) \ x) \ u) = T(R(x,y,z) \ x,u).
((R(x,y,z) \ x) \ u) \ u = T(R(x,y,z) \ x,u).
(R(x,y,z) * (x \ u)) \ u = T(R(x,y,z) \ x,u).
x / T(R(y,z,u) \ y,x) = R(y,z,u) * (y \ x).
R(x,y,z) * (x \ u) = u / T(R(x,y,z) \ x,u).
L(x,(y \ (a(z,u,y) \ 1)) \ (a(z,u,y) \ 1),y \ (a(z,u,y) \ 1)) = (a(z,u,y) \ 1) \ ((y \ (a(z,u,y) \ 1)) * (((y \ 1) \ 1) * x)).
(a(x,y,z) \ 1) \ ((z \ (a(x,y,z) \ 1)) * (((z \ 1) \ 1) * u)) = L(u,(z \ (a(x,y,z) \ 1)) \ (a(x,y,z) \ 1),z \ (a(x,y,z) \ 1)).
T(x,x \ (a(y,z,x) \ 1)) = (x \ 1) \ 1.
T(x,x \ (x \ L(x,y,z))) = (x \ 1) \ 1.
T(x,x \ (x \ L(x,y,z))) = (L(x,y,z) \ 1) \ a(z,y,x).
a(x * y,(x * y) \ 1,y * x) = T(K(x * y,y \ (x \ 1)),x).
a(x \ 1,x,T(x,y) \ 1) \ x = (K(y,x) \ (x \ K(y,x))) \ 1.
(1 / x) * a(y,z,u * (x / u)) = a(y,z,u * (x / u)) / x.
(1 / x) * a(y,z,u * (x / u)) = a(y,z,u / (u / x)) / x.
L(x,y,L(K(z \ 1,z),x,y)) = (K(L(z,u,w) \ 1,z) * y) \ (y * (K(z \ 1,z) * x)).
(K(L(x,y,z) \ 1,x) * u) \ (u * (K(x \ 1,x) * w)) = L(w,u,L(K(x \ 1,x),w,u)).
L(K(x \ 1,x),y,z) = K(L(x,u,w) \ 1,x).
(x * (R(x,y,z) \ u)) * (x \ R(x,y,z)) = T(u,x \ R(x,y,z)).
((R(x,y,z) \ x) / T(u,x \ R(x,y,z))) * u = (R(x,y,z) \ x) * K(u,R(x,y,z) \ x).
((R(x,y,z) \ x) / u) * K(R(x,y,z) \ x,u \ (R(x,y,z) \ x)) = T((R(x,y,z) \ x) / u,x \ R(x,y,z)).
x * K(R(y,z,u) \ y,x) = T(x,y \ R(y,z,u)).
T(x,y \ R(y,z,u)) = x * K(R(y,z,u) \ y,x).
K(R(x,y,z) \ x,u) = K(u,x \ R(x,y,z)).
K(x,y \ R(y,z,u)) = K(R(y,z,u) \ y,x).
K(x,a(y,z,u * K(y * z,u))) = K(R(y,z,u) \ y,x).
(1 / x) * a(y,z,u / (u / x)) = a(y,z,u / (u / x)) / x.
(K(L(x,y,z) \ 1,x) \ 1) \ u = L(K(x \ 1,x),w,v5) * u.
K(x,L(x,y,z) \ 1) \ u = L(K(x \ 1,x),w,v5) * u.
(x / a(y,z,u / (u / w))) * a(y,z,w) = x / K(a(y,z,w) \ 1,u).
K(x * (y * z),a(y,z,x)) = K(y * (z * x),a(y,z,x)).
K(x \ L(x,y,z),u * x) = K(x * u,a(z,y,x)).
K(x * y,a(z,u,y)) = K(y * x,a(z,u,y)).
K((x \ y) * x,a(z,u,x)) = K(y,a(z,u,x)).
a(x,y,z) * u != a(x,y,z * K(z \ w,z)) | u = K(w,a(x,y,z)).
T(a(x,y,z),u \ a(x,y,z)) = T(a(x,y,z),u \ 1).
T(a(x,y,z),u / a(x,y,z)) = T(a(x,y,z),u).
a(x,y,z / (z / u)) = a(x,y,u) * K(a(x,y,u) \ 1,z).
K(x * (y \ (y / x)),z) = K(z,a(y,x \ 1,x)).
K(x,a(y,z \ 1,z)) = K(z * (y \ (y / z)),x).
a(x,y,z) * K(u * z,a(x,y,z)) = a(x,y,z * K(u,z)).
K(x,a(y,z,u * K(y * z,u))) = K((y \ R(y,z,u)) \ 1,x).
K((x \ R(x,y,z)) \ 1,u) = K(u,a(x,y,z * K(x * y,z))).
K(x \ L(x,y,z),u) = K(u,a(z,y,x)).
K(a(x,y,z) \ 1,u) = K(u,a(x,y,z)).
K(x,a(y,z,u)) = K(a(y,z,u) \ 1,x).
K(x * (a(x,y,z) \ u),a(x,y,z)) = K(x * u,a(x,y,z)).
K(x * a(y,z,u),a(y,z,u)) = K(x,a(y,z,u)).
K(a(x,y,z) \ u,a(x,y,z)) = K(u,a(x,y,z)).
K(a(x,y,z) * u,a(x,y,z)) = K(u,a(x,y,z)).
K(x,a(y,z,u)) = K(a(y,z,u) * x,a(y,z,u)).
a(x,y,z * K(z \ u,z)) = a(x,y,z) * K(u,a(x,y,z)).
x / L(y / a(z,u,w),(y * a(z,u,w)) / y,x / y) = (x / y) * ((y * a(z,u,w)) / y).
T(a(x,y,z),u / a(x,y,z)) = T((u / a(x,y,z)) \ u,u).
x / (x / a(y,z,u)) = a(y,z,u) * K(x,a(y,z,u)).
T(x / (x / a(y,z,u)),x) = a(y,z,u).
((x * a(y,z,u)) / x) \ x = x / a(y,z,u).
a(x,y,z / (z / u)) = a(x,y,u) * K(z,a(x,y,u)).
(1 / x) * a(y,z,u / (u / x)) = ((u * a(y,z,x)) / u) / x.
a(x,y,z / (z / u)) * (z / u) = (z / u) * R(a(x,y,u),z / u,u).
(x * a(y,z,u)) / x = x / (x / a(y,z,u)).
x / (x / a(y,z,u)) = (x * a(y,z,u)) / x.
x / a(y,z,u / (u / w)) = x * (u / (u * a(y,z,w))).
a(x,y,z / (z / u)) = (z * a(x,y,u)) / z.
a(x,y,(z * u) * (z / (z * u))) = a(x,y,z * K(u,z)).
a(x,y,z * K(u,z)) = a(x,y,(z * u) * (z / (z * u))).
a(x,y,z * ((u \ 1) / z)) = a(x,y,z / (z * u)).
a(x,y,z * (u / z)) = z / (z / a(x,y,u)).
a(x,y,z / (z / u)) = a(x,y,z * (u / z)).
a(x,y,z * (u / z)) = a(x,y,z / (z / u)).
a(x,y,z \ T(u,z \ 1)) = a(x,y,u / z).
K(x,L(x,y,z) \ 1) = a(u,w,K(v5 \ 1,v5)) * K(x,x \ 1).
a(x,y,K(z \ 1,z)) * K(u,u \ 1) = K(u,L(u,w,v5) \ 1).
x \ ((y * x) * ((z / u) * (u / z))) = ((z / u) * (u / z)) * T(y,x * ((z / u) * (u / z))).
a(x,y,z / u) * (u / z) = (u / z) * a(x,y,z / u).
(x / y) * a(z,u,y / x) = a(z,u,y / x) * (x / y).
(R(x,y,z) * (x \ u)) * (R(x,y,z) \ x) = T(u,R(x,y,z) \ x).
K(x,T(y,R(z,u,T(y,x)) \ z)) = K(x,y).
x * (R(y,z,x) \ y) = y * (R(y,z,x) \ x).
x * (R(x,y,z) \ z) = z * (R(x,y,z) \ x).
x / (y \ R(y,z,x)) = y * (R(y,z,x) \ x).
x / (y \ R(y,z,x)) = (y \ R(y,z,x)) \ x.
(x \ R(x,y,z)) \ z = z / (x \ R(x,y,z)).
(x \ R(x,y,z)) * (z / (x \ R(x,y,z))) = z.
(x * (R(y,z,T(x,u)) \ y)) / T(x,R(y,z,T(x,u)) \ y) = T(R(y,z,T(x,u)) \ y,T(x,u)).
K(x,T(y,R(z,u,T(y,x)) \ z)) * T(y,x) = T(y,R(z,u,T(y,x)) \ z).
K(x,T(y,R(z,u,T(y,x)) \ z)) = K(x,T(y,x)).
K(x,T(y,x)) = K(x,T(y,R(z,u,T(y,x)) \ z)).
(x \ R(x,y,z)) * (z * (R(x,y,z) \ x)) = z.
T(R(x,y,z) \ x,z) = R(x,y,z) \ x.
T(x,R(y,z,x) \ y) = x.
(x \ R(x,y,z)) \ K(u,R(x,y,z) \ x) = ((u * (x \ R(x,y,z))) / u) \ 1.
((x * (y \ R(y,z,u))) / x) \ 1 = (y \ R(y,z,u)) \ K(x,R(y,z,u) \ y).
K(x,R(y,z,x) \ y) = 1.
x * K(y \ R(y,z,u),x) = T(x,R(y,z,u) \ y).
T(x,R(y,z,u) \ y) = x * K(y \ R(y,z,u),x).
K(x \ R(x,y,z),u) = K(u,R(x,y,z) \ x).
K(a(x,y,z * K(x * y,z)),u) = K(u,R(x,y,z) \ x).
x * (T(a(y,z,x),u) \ (a(y,z,x) * w)) = K(u,a(y,z,x)) * (x * w).
T(a(x,y,z),u) \ (z * w) = z * (T(a(x,y,z),u) \ w).
T(a(x,y,z),u) \ (z * w) = (T(a(x,y,z),u) \ z) * w.
(T(a(x,y,z),u) \ z) * w = T(a(x,y,z),u) \ (z * w).
(x \ 1) / (x \ T(a(x,y,z),u)) = T(a(x,y,z) \ 1,u).
(x \ 1) / (x \ T(a(x,y,z),u)) = T(a(x,y,z),u) \ 1.
T(a(x,y,z),u) \ 1 = (x \ 1) / (x \ T(a(x,y,z),u)).
a(x,y,z \ ((z \ 1) \ (u / z))) = a(x,y,z \ T(u,z \ 1)).
K(x * y,a(z,u,x)) * K(x,y) = K(L(x,u,z),y).
(a(x,y,T(z,u)) \ a(x,y,z)) * K(z,u) = K(L(z,y,x),u).
K(L(x,y,z),u) = (a(z,y,T(x,u)) \ a(z,y,x)) * K(x,u).
a(x,y,T(z,u)) \ (a(x,y,z) * K(z,u)) = K(L(z,y,x),u).
a(x,y,T(z,u)) \ (L(z,y,x) \ T(z,u)) = K(L(z,y,x),u).
K(L(x,y,z),u) = a(z,y,T(x,u)) \ (L(x,y,z) \ T(x,u)).
T(L(x,y,z) * (1 / (L(x,y,z) / u)),L(x,y,z) / u) / u = a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u).
T(L(x,y,z) * (1 / (L(x,y,z) / u)),L(x,y,z) / u) = a(x,(L(x,y,z) / u) \ 1,L(x,y,z) / u) * u.
(L(x,y,z) * a(z,y,T(x,u))) \ T(x,u) = K(L(x,y,z),u).
a(x,y,K(z \ 1,z)) = K(u \ 1,u) * K(u,L(u,w,v5) \ 1).
K(x \ 1,x) * K(x,L(x,y,z) \ 1) = a(u,w,K(v5 \ 1,v5)).
(x * y) \ ((x * (y * z)) * ((u / w) * (w / u))) = L(z,y,x) * ((u / w) * (w / u)).
x \ ((y * x) * ((z / u) * (u / z))) = T(y,x) * ((z / u) * (u / z)).
(x * ((y / z) * (z / y))) / u = x / (u / ((y / z) * (z / y))).
x / (y / ((z / u) * (u / z))) = (x * ((z / u) * (u / z))) / y.
(x * y) * ((z / u) * (u / z)) = x * (y * ((z / u) * (u / z))).
x * (y * ((z / u) * (u / z))) = (x * y) * ((z / u) * (u / z)).
R(x,y,(z / u) * (u / z)) = x.
R(x,y,a(z,z \ 1,u)) = x.
(x * y) \ ((x * (y * z)) * a(u \ 1,u,w)) = L(z,y,x) * a(u \ 1,u,w).
(((x * y) * z) * a(u \ 1,u,w)) / ((y * z) * a(u \ 1,u,w)) = R(x,y,z).
x \ (y * a(z \ 1,z,u)) = (x \ y) * a(z \ 1,z,u).
R(x,y,a(z \ 1,z,u)) = x.
(x * (y / (y * a(z,u,w)))) / z = x / (z * a(z,u,y * (w / y))).
a(x,y,K(z \ 1,z)) = (u \ 1) * T(u,L(u,w,v5) \ 1).
(x \ 1) * T(x,L(x,y,z) \ 1) = a(u,w,K(v5 \ 1,v5)).
K(x,y * x) * a(x,y,x) = K(x,y).
K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y).
a(x,y,z) * K(z,u) = K(z,u) * a(x,y,z).
a(x,y,T(z,u)) \ T(w * a(x,y,T(z,u)),T(z,u)) = T(w,T(z * a(x,y,z),u)).
T(x,y) * a(z,u,T(x,y)) = T(x * a(z,u,x),y).
x * ((a(y,z,u) \ x) \ 1) = R(a(y,z,u),x,x \ 1).
a(x,y,T(T(x,z),y * x)) = a(T(x,z),y,x).
a(T(x,y),z,x) = a(x,z,T(T(x,y),z * x)).
x \ (y * ((y \ x) * (1 / (y \ x)))) = 1 / (1 / ((y * (y \ x)) \ y)).
L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)).
1 / (1 / ((x * y) \ x)) = L(1 / y,y,x).
T(a(x,y,z),(x * (y * z)) \ z) = x \ R(x,y,z).
T(x,a(y \ z,y,y \ 1)) = T(x,a(z,y \ 1,y)).
T(x,x \ (x \ L(x,y,z))) = a(z,y,x) \ ((x \ 1) \ a(z,y,x)).
(L(x,x \ 1,y) \ 1) * x = a(x \ y,x,x \ 1).
a(x,y,(1 / (z \ u)) / z) = a(x,y,u \ 1).
a(x,y,z \ 1) = a(x,y,(1 / (u \ z)) / u).
a(x \ 1,x,L(y,z,u)) = a(x \ 1,x,y).
a(x \ 1,x,y) = a(x \ 1,x,L(y,z,u)).
(x * y) * a(z \ 1,z,u) = x * (y * a(z \ 1,z,u)).
L(a(x \ 1,x,y),z,u) = a(x \ 1,x,y).
a(x,y,a(z \ 1,z,u)) = 1.
a(x,y,a(z,z \ 1,u)) = 1.
L(a(x,x \ 1,y),z,u) = a(x,x \ 1,y).
a(x,x \ 1,y) = L(a(x,x \ 1,y),z,u).
a(x,x \ 1,L(y,z,u)) = a(x,x \ 1,y).
L((x \ y) * x,z,u) != w * x | x \ L(y,z,u) = w.
L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x.
(x \ L(y,z,u)) * x = L((x \ y) * x,z,u).
(x \ (a(y,z,x) \ 1)) \ 1 = (x \ 1) \ a(y,z,x).
(L(x,x \ 1,y) \ 1) * x = a(y / x,x,x \ 1).
a(x,y,z * (u / z)) \ w = (z / (z * a(x,y,u))) * w.
(x / (x * a(y,z,u))) * w = a(y,z,x * (u / x)) \ w.
x / a(y,z,u * (w / u)) = x * (u / (u * a(y,z,w))).
x * (y / (y * a(z,u,w))) = x / a(z,u,y * (w / y)).
a(x,y,(z / (1 / (z \ u))) \ 1) = a(x,y,u \ 1).
a(x,x \ 1,L(y,z,u)) = (y / ((x \ 1) * y)) / x.
(x / ((y \ 1) * x)) / y = a(y,y \ 1,L(x,z,u)).
(x \ y) * a(y,z,y) = x \ R(y,z,y).
(T(x,y) / z) * (z / a(R(x,u,w),y,T(x,y))) = T(x,R(x,u,w) * y).
L(x,y,z) / (u * L(x,y,z)) = x / (u * x).
x / (y * x) = L(x,z,u) / (y * L(x,z,u)).
(x / y) * (y / a(z,u,x)) = L(x,u,z).
x / (y * a(z,u,x)) = L(x,u,z) / y.
(x \ y) * (a(z,u,y) \ w) = (x \ L(y,u,z)) * w.
(x \ L(y,z,u)) * w = (x \ y) * (a(u,z,y) \ w).
(x / y) \ L(x,z,u) = y / a(u,z,x).
x / a(y,z,u) = (u / x) \ L(u,z,y).
(a(x,y,z) \ u) \ z = (u \ z) * a(x,y,z).
(x \ y) * a(z,u,y) = (a(z,u,y) \ x) \ y.
(L(x,y,z) / u) \ x = u * a(z,y,x).
x * a(y,z,u) = (L(u,z,y) / x) \ u.
(x \ y) / a(z,u,y) = x \ L(y,u,z).
(x \ L(y,z,u)) * a(u,z,y) = x \ y.
(x \ L(y,z,u)) \ (x \ y) = a(u,z,y).
(x * (1 / L(y,z,u))) * L(1 / (1 / y),z,u) = (x * (L(y,z,u) \ 1)) * L(y,z,u).
(1 / ((x * y) \ T(x,y))) / T(y,x) = a(T(x,y),T(y,x),T(y,x) \ 1).
(1 / ((x * y) \ y)) / T(x,y) = a(y,T(x,y),T(x,y) \ 1).
1 / L(x \ ((y * z) \ y),x,1 / ((y * z) \ y)) = (a(y,z,z \ 1) * z) * x.
a(x,y,y \ 1) \ (1 / ((x * y) \ x)) = y.
(1 / ((x * y) \ x)) / y = a(x,y,y \ 1).
1 / ((x * y) \ x) = a(x,y,y \ 1) * y.
((x * (1 / L(y,z,u))) * L(1 / (1 / y),z,u)) / L(K(L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)),1,R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u))) = R(x,L(1 / (1 / y),z,u) \ 1,L(1 / (1 / y),z,u)) * 1.
L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)).
1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z).
K(x,L(1 / y,z,u)) = K(x,L(y \ 1,z,u)).
K(x,L(y \ 1,z,u)) = K(x,L(1 / y,z,u)).
(L(x \ 1,y,z) * u) / ((L(1 / x,y,z) \ 1) \ 1) = (L(1 / x,y,z) * u) / L(1 / x,y,z).
T(x,L(1 / y,z,u)) = T(x,L(y \ 1,z,u)).
T(x,L(y \ 1,z,u)) = T(x,L(1 / y,z,u)).
(1 / (L(1 / x,y,z) \ 1)) * (u * (1 / L(x \ 1,y,z))) = L(x \ 1,y,z) * (u * (L(x \ 1,y,z) \ 1)).
1 / (L(1 / x,x,y) \ 1) = 1 / (1 / ((y * x) \ y)).
1 / L(x \ 1,y,z) = a(z,y,x \ 1) * x.
L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z).
1 / L(x,y,z) = L(1 / (1 / x),y,z) \ 1.
(L(x,y,z) \ 1) * (L((x \ 1) \ 1,y,z) * u) = L(u,(L(x,y,z) \ 1) \ 1,L(x,y,z) \ 1).
L(((x \ (y \ z)) \ 1) \ 1,x,y) = (((y * x) \ z) \ 1) \ 1.
(L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z).
L(x \ 1,y,z) = (L(1 / x,y,z) \ 1) \ 1.
L(x,y,((y * x) * a(z,u,w)) / (y * x)) = (a(z,u,T(w,(y * x) \ 1)) * y) \ ((y * x) * a(z,u,w)).
a(x,y,K(z,u)) * T(z,u) = T(z,u) * a(x,y,K(z,u)).
x * a(y,z,u) != w * x | a(y,z,T(u,x \ 1)) = w.
1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1.
T(x,L(x,y,z) \ 1) = (x \ 1) \ a(u,w,K(v5 \ 1,v5)).
L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1.
T(x,L(x,y,z) \ 1) = (x \ 1) \ 1.
(x \ 1) \ 1 = T(x,L(x,y,z) \ 1).
1 / ((x \ 1) \ a(y,z,x)) = x \ (a(y,z,x) \ 1).
(x \ (a(y,z,x) \ 1)) * u = (x \ 1) * (a(y,z,x) \ u).
a(x,y,z) * K(u,a(x,y,z)) = T(a(x,y,z),u \ z).
T(a(x,y,z),u \ z) = a(x,y,z) * K(u,a(x,y,z)).
a(x,y,T(z,u \ 1)) = (u * a(x,y,z)) / u.
a(x,y,T(z,u \ 1)) * u = u * a(x,y,z).
a(x,y,K(z,u)) / K(z,u) = L(K(z,u),y,x) \ 1.
K(x \ 1,x) * a(y,z,x) = (L(x,z,y) \ 1) * x.
(L(x,y,z) \ 1) * x = K(x \ 1,x) * a(z,y,x).
1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1.
L(x,y,z) \ 1 = 1 / L((x \ 1) \ 1,y,z).
(L(x,y,z) \ 1) \ a(z,y,x) = (x \ 1) \ 1.
(x \ 1) / a(y,z,x) = x \ (a(y,z,x) \ 1).
(L(R(x,x \ y,y \ 1),z,u) \ 1) \ ((x \ y) * (y \ 1)) = a(u,z,R(x,x \ y,y \ 1)) \ 1.
((x * (L(y,z,u) \ 1)) * (a(u,z,y) \ 1)) / (y \ 1) = R(x,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ (y \ 1)).
(x / y) * a(z,u,(x / y) \ 1) = a(z,u,y / x) * (x / y).
a(x,y,z / u) * (u / z) = (u / z) * a(x,y,(u / z) \ 1).
T(a(x,y,z \ 1),u) \ (z * a(x,y,z \ 1)) = K(u,a(x,y,z \ 1)) * z.
L(1 / x,y,z) \ 1 = x * a(z,y,x \ 1).
T(a(x,y,z),u \ z) * u = u * a(x,y,z).
a(x,y,T(z,u \ 1)) = a(x,y,u * (z / u)).
a(x,y,z * (u / z)) = a(x,y,T(u,z \ 1)).
(1 / (x / (x * (y \ R(y,z,u))))) * w = (x / (x * (y \ R(y,z,u)))) \ w.
(x / (x * (y \ R(y,z,u)))) \ w = (1 / (x / (x * (y \ R(y,z,u))))) * w.
(1 / (x / (x * (y \ R(y,z,u))))) \ w = (x / (x * (y \ R(y,z,u)))) * w.
L(x,y / (y * (z \ R(z,u,w))),v5) = x.
L(x,y / (y * a(z,u,w)),v5) = x.
a(x,y,z * (u / z)) \ 1 = z / (z * a(x,y,u)).
x / (x * a(y,z,u)) = a(y,z,x * (u / x)) \ 1.
a(x,y,z * (u / z)) = (z * a(x,y,u)) / z.
(x * a(y,z,u)) / x = a(y,z,x * (u / x)).
a(x,y,z) / ((z \ 1) \ 1) = L(z,y,x) \ 1.
L(x,L(y,z,u),L(y,z,u) \ 1) = L(x,y,y \ 1).
((x \ y) * (y \ 1)) * a(z,u,R(x,x \ y,y \ 1)) = L(R(x,x \ y,y \ 1),u,z) \ 1.
a(x,y,z) \ ((z \ 1) \ u) = (L(z,y,x) \ 1) \ u.
(L(x,y,z) \ 1) \ u = a(z,y,x) \ ((x \ 1) \ u).
(x \ (a(y,z,x) \ 1)) \ (x \ 1) = a(y,z,x).
(x \ 1) * a(y,z,x) = L(x,z,y) \ 1.
a(x,y,z) * K((1 / z) \ 1,u) = K(z,u) * a(x,y,z).
a(x,y,(z \ 1) / u) = a(x,y,z \ (u \ 1)).
a(x,y,z \ (u \ 1)) = a(x,y,(z \ 1) / u).
a(x,y,z \ ((u \ w) * (w \ u))) = a(x,y,z \ 1).
a(x,y,z \ ((z \ 1) \ u)) = a(x,y,u).
a(x,y,z) = a(x,y,u \ ((u \ 1) \ z)).
a(x,y,T(z,z \ (z \ 1))) = a(x,y,z).
(x \ 1) * (a(y,z,x) * u) = (L(x,z,y) \ 1) * u.
a(x,y,z) = (z \ 1) \ (L(z,y,x) \ 1).
(x \ 1) \ (L(x,y,z) \ 1) = a(z,y,x).
(L(x,y,z) \ 1) \ (x \ 1) = a(z,y,x) \ 1.
a(x,y,z) \ 1 = (L(z,y,x) \ 1) \ (z \ 1).
K(x \ 1,a(y,z,x)) = 1.
a(x,y,z) \ (a(x,y,z) / z) = 1 / z.
R(a(x,y,z),1 / z,u) \ (((1 / z) * a(x,y,z)) * u) = T(1 / z,a(x,y,z)) * u.
T(a(x,y,z),z \ 1) = a(x,y,z).
T(x \ 1,a(y,z,x)) = x \ 1.
T(1 / x,a(y,z,x)) = 1 / x.
K(a(x,y,z),z \ 1) = 1.
((x * a(y,z,u \ 1)) / x) * u = u * ((x * a(y,z,u \ 1)) / x).
x * ((y * a(z,u,x \ 1)) / y) = ((y * a(z,u,x \ 1)) / y) * x.
a(x,y,z \ 1) * z = z * a(x,y,z \ 1).
x * a(y,z,x \ 1) = a(y,z,x \ 1) * x.
T(x,a(y,z,x \ 1)) = x.
K(a(x,y,z \ 1),z) = 1.
a(x,y,(z \ 1) * u) = a(x,y,z \ u).
a(x,y,z \ u) = a(x,y,(z \ 1) * u).
a(x,y,z * (u * T(u \ (z \ 1),w))) = a(x,y,K(((z \ 1) \ u) \ 1,w)).
a(x,y,K(((z \ 1) \ u) \ 1,w)) = a(x,y,z * (u * T(u \ (z \ 1),w))).
(x \ L(y,z,u)) \ (x \ y) = a(u,z,x * (x \ y)).
a(x,y,z * (z \ u)) = (z \ L(u,y,x)) \ (z \ u).
T(a(x,y,z \ 1),z) = a(x,y,z \ 1).
T(a(x,y,z),u \ z) = a(x,y,u * (z / u)).
a(x,y,z * (u / z)) = T(a(x,y,u),z \ u).
a(x,y,(1 / z) \ u) = a(x,y,z * u).
a(x,y,z * u) = a(x,y,(1 / z) \ u).
a(x,y,(z \ 1) \ u) = a(x,y,z * u).
a(x,y,z * u) = a(x,y,(z \ 1) \ u).
a(x * y,(x * y) \ 1,y * x) = T(K(x * y,(x * y) \ 1),x).
T(K(x * y,(x * y) \ 1),x) = a(x * y,(x * y) \ 1,y * x).
a(x,y,(z \ u) * z) = T(a(x,y,u),z).
T(a(x,y,z),u) = a(x,y,(u \ z) * u).
a(x,y,z * (u / z)) * z = z * a(x,y,u).
T(a(x,y,z * u),z) = a(x,y,u * z).
a(x,y,z * u) * z = z * a(x,y,u * z).
x \ ((x * (a(y,z,x) * u)) / a(y,z,x)) = (x \ 1) * T((x \ 1) \ u,a(y,z,x) \ 1).
(x \ 1) * T((x \ 1) \ y,a(z,u,x) \ 1) = x \ ((x * (a(z,u,x) * y)) / a(z,u,x)).
(((x \ 1) * y) \ (z * (x \ y))) / a(x,x \ 1,y) = T(T(z,x \ y),a(x,x \ 1,y) \ 1).
(x / a(y,z,u)) / x = x / (x * a(y,z,u)).
x * a(y,z,u) != K(a(y,z,u),w) | x = w / (w * a(y,z,u)).
K(x,y * (z \ (z / y))) = K(a(z,y \ 1,y),x).
K(a(x,y \ 1,y),z) = K(z,y * (x \ (x / y))).
(a(x,y,z) * u) / a(x,y,z) = T(u,a(x,y,z) \ 1).
((x / a(y,z,u)) / x) * a(y,z,u) = K(a(y,z,u),x).
K(a(x,y,z * K(x * y,z)),u) = K(u,(x \ R(x,y,z)) \ 1).
K(x,(y \ R(y,z,u)) \ 1) = K(a(y,z,u * K(y * z,u)),x).
T(x,a(y,z,u) \ 1) = x * K(a(y,z,u),x).
K(a(x,y,z),u) * (z * (a(x,y,z) * w)) = a(x,y,T(z,z \ u)) * (z * w).
K(a(x,y,z),u * a(x,y,z)) = K(a(x,y,z),u).
K(x,(y \ (y / z)) * z) = K(a(y,z \ 1,z),x).
K(x,R(y,y \ 1,z) \ y) = K(a(y,y \ 1,z),x).
K(x,a(y,z,u) \ 1) = K(a(y,z,u),x).
K(a(x,y,z),u) = K(u,a(x,y,z) \ 1).
T(x,a(y,z,u) \ x) = x * K(a(y,z,u),x).
x * K(a(y,z,u),x) = T(x,a(y,z,u) \ x).
K(a(x,y,z),a(x,y,z) \ u) = K(a(x,y,z),u).
T(a(x,y,z),x \ z) = a(x,y,z).
T(x \ y,a(x,z,y)) = x \ y.
T(x \ y,a(x,z,y)) = T(y / x,x).
T(x / y,y) = T(y \ x,a(y,z,x)).
T(x / y,a(y,z,x)) = x / y.
(T(a(x,y,z),u) \ z) * w = z * (T(a(x,y,z),u) \ w).
x / T(a(y,z,x),u) = T(a(y,z,x),u) \ x.
T(a(x,y,z),u) \ z = z / T(a(x,y,z),u).
T(x \ L(x,y,z),u) * (x * w) = (T(a(z,y,x),u) \ x) * w.
(T(a(x,y,z),u) \ z) * w = T(z \ L(z,y,x),u) * (z * w).
x * T(x \ L(x,y,z),u) = T(a(z,y,x),u) \ x.
T(a(x,y,z),u) \ z = z * T(z \ L(z,y,x),u).
x \ (y * (a(z,u,y) * x)) = T(y,x) * a(z,u,T(y,x)).
x * T(y \ L(y,z,u),w) = x / T(a(u,z,y),w).
x / T(a(y,z,u) \ 1,x) = a(y,z,u) * x.
T(a(x,y,z * K(x * y,z)) \ 1,u) = T(x \ R(x,y,z),u) \ 1.
T(x \ R(x,y,z),u) \ 1 = T(a(x,y,z * K(x * y,z)) \ 1,u).
T(a(x,y,z) \ 1,u) = (a(x,y,z) * u) \ u.
T(x \ L(x,y,z),u) * w = T(a(z,y,x),u) \ w.
T(a(x,y,z),u) \ 1 = T(a(x,y,z) \ 1,u).
T(a(x,y,z) \ 1,u) = T(a(x,y,z),u) \ 1.
(x * y) * a(z,u,T(x,y)) = x * (a(z,u,x) * y).
x * T(a(y,z,u) \ 1,w) = x / T(a(y,z,u),w).
(a(x,y,z) \ u) * (u \ w) = u * ((a(x,y,z) * u) \ w).
x * ((a(y,z,u) * x) \ w) = (a(y,z,u) \ x) * (x \ w).
T(a(x,y,z) \ 1,u) * w = T(a(x,y,z),u) \ w.
T(a(x,y,z),u) \ w = T(a(x,y,z) \ 1,u) * w.
x * y != (a(z,u,w) \ x) * v5 | y = T(a(z,u,w) \ 1,x) * v5.
(a(x,y,z) * u) * (u \ w) = u * ((a(x,y,z) \ u) \ w).
x * ((a(y,z,u) \ x) \ w) = (a(y,z,u) * x) * (x \ w).
(R(x,y,x) \ z) * a(x,y,x) = T(x \ z,a(x,y,x)).
T(x \ y,a(x,z,x)) = (R(x,z,x) \ y) * a(x,z,x).
a(x \ 1,x,T(x,y) \ 1) \ x = ((x \ K(y,x)) / K(y,x)) \ 1.
((x \ K(y,x)) / K(y,x)) \ 1 = a(x \ 1,x,T(x,y) \ 1) \ x.
x / a(x \ 1,x,y) = a(x \ 1,x,y) \ x.
T(x,a(y,z,u)) * (a(y,z,u) \ w) = (a(y,z,u) \ x) * w.
(a(x,y,z) \ u) * w = T(u,a(x,y,z)) * (a(x,y,z) \ w).
T(a(x,y,T(x,z)),T(x,z) * (y * x)) = a(T(x,z),y,x).
a(T(x,y),z,x) = T(a(x,z,T(x,y)),T(x,y) * (z * x)).
T(a(x,y,z),(u \ 1) \ z) = a(x,y,T(z,u)).
K(T(a(x,y,z),u),w \ 1) = K(a(x,y,z),T(w,u) \ 1).
K(a(x,y,z),T(u,w) \ 1) = K(T(a(x,y,z),w),u \ 1).
T(x,y) \ R(T(x,y),z,x) = a(x,z,T(x,y)).
a(x,y,T(z,u)) \ a(x,y,z) = K(z * u,a(x,y,z)).
a(x,y,T(z,R(z,u,w) * T(v5,z))) = T(a(x,y,z),R(z,u,w) * (v5 * z)).
T(a(x,y,z),R(z,u,w) * (v5 * z)) = a(x,y,T(z,R(z,u,w) * T(v5,z))).
a(x,y,z) \ a(x,y,T(z,u)) = K(a(x,y,z),z * u).
(x * y) * a(z,u,T(x,y)) = a(z,u,x) * (x * y).
T(T(a(x,y,z),u),z * w) = T(a(x,y,T(z,w)),u).
T(a(x,y,T(z,u)),w) = T(T(a(x,y,z),w),z * u).
T(a(x,y,z * u),z) = a(x,y,(1 / u) \ z).
T(a(x,y,z * u),z) = a(x,y,(u \ 1) \ z).
T(a(x,y,z),u \ z) = a(x,y,T(z,u \ 1)).
a(x,y,T(z,u \ 1)) = T(a(x,y,z),u \ z).
K(T(a(x,y,z),u),w) = T(K(a(x,y,z),w),u).
a(x,y,T(z,a(u,w,z) \ v5)) = T(a(x,y,z),L(z,w,u) * v5).
T(a(x,y,z),z * u) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = T(a(x,y,z),z * u).
a(x,y,(z \ u) \ u) \ 1 = (x \ 1) / (x \ T(a(x,y,z),u)).
(x \ 1) / (x \ T(a(x,y,z),u)) = a(x,y,(z \ u) \ u) \ 1.
x * (y \ (a(z,u,w) \ y)) = x / T(a(z,u,w),y).
x / T(a(y,z,u),w) = x * (w \ (a(y,z,u) \ w)).
T(a(x,y,z / u),z) = a(x,y,u \ z).
a(x,y,z \ u) = T(a(x,y,u / z),u).
a(x,y,T(z,z \ u)) = T(a(x,y,z),u).
a(x,y,(z \ u) \ u) = T(a(x,y,z),u).
x * (T(a(y,z,u),x) \ w) = (a(y,z,u) \ x) * w.
(a(x,y,z) \ u) * w = u * (T(a(x,y,z),u) \ w).
T(a(x,y,z),u) * (u \ w) = (a(x,y,z) \ u) \ w.
(a(x,y,z) \ u) \ w = T(a(x,y,z),u) * (u \ w).
(a(x,y,z) \ u) \ u = T(a(x,y,z),u).
a(x,y,z) * K(u \ 1,a(x,y,z)) = u * T(u \ a(x,y,z),a(x,y,z)).
x * T(x \ a(y,z,u),a(y,z,u)) = a(y,z,u) * K(x \ 1,a(y,z,u)).
a(x,y,z) * T(a(x,y,z) \ u,z) = T(T(u,a(x,y,z)),L(z,y,x)).
T(T(x,a(y,z,u)),L(u,z,y)) = a(y,z,u) * T(a(y,z,u) \ x,u).
T(L(x,y,z) \ u,a(z,y,x)) = (x \ u) * a(z,y,x).
(x \ y) * a(z,u,x) = T(L(x,u,z) \ y,a(z,u,x)).
a(x,y,z) * (T(u,a(x,y,z)) \ w) = (a(x,y,z) \ u) \ w.
K(a(x,y,z),a(x,y,z) \ u) = T(u,a(x,y,z)) \ u.
T(x,a(y,z,u)) \ x = K(a(y,z,u),a(y,z,u) \ x).
T(a(x,y,z) * u,a(x,y,z)) = u * a(x,y,z).
x * a(y,z,u) = T(a(y,z,u) * x,a(y,z,u)).
x / T(a(y,z,u),x) = a(y,z,u) \ x.
a(x,y,z) \ u = u / T(a(x,y,z),u).
x * y != T(z,y) | x = z / T(y,z).
T(x,a(y,z,u)) / a(y,z,u) = a(y,z,u) \ x.
(a(x,y,z) \ u) * a(x,y,z) = T(u,a(x,y,z)).
(L(x,y,z) / u) * a(z,y,x) = T(x / u,a(z,y,x)).
(L(x,y,z) / (u \ x)) * a(z,y,x) = T(u,a(z,y,x)).
T(x,a(y,z,u)) = (L(u,z,y) / (x \ u)) * a(y,z,u).
L(x,x \ 1,y) \ L(y,z,u) = T(L(y,z,u) * (1 / x),x).
L(x,x \ 1,L(y,z,u)) = L(x,x \ 1,y).
L(x,x \ 1,y) = L(x,x \ 1,L(y,z,u)).
K((x / y) \ L(x,z,y),x / y) = K(y,y \ x).
K(x / y,(x / y) \ L(x,z,y)) = K(y \ x,y).
L(x,y,z) / (a(z,y,x) \ (u \ x)) = T(u,a(z,y,x)).
a(x,y,z / (u \ w)) = a(x,y,z * (w \ u)).
a(x,y,z * (u \ w)) = a(x,y,z / (w \ u)).
a(x,y,z * ((u * w) \ u)) = a(x,y,z / w).
a(x,y,z * L(u \ 1,u,w)) = a(x,y,z / u).
L(1 / (x \ 1),x \ 1,y) = L(x,x \ 1,L(y,z,u)).
L(x,x \ 1,L(y,z,u)) = L(1 / (x \ 1),x \ 1,y).
L(1 / x,x,L(y,z,u)) = L(1 / x,x,y).
((x * (y * x)) / x) \ x = (x * y) \ R(x,y,x).
(L(x,y,x) * z) \ x = (x * z) \ R(x,y,x).
(a(x,y,x) \ z) \ x = z \ R(x,y,x).
L(x \ 1,x,(y * z) \ u) = L(x \ 1,x,z \ (y \ u)).
L(x \ 1,x,L(y,z,u)) = L(x \ 1,x,y).
L(x \ 1,x,y) = L(x \ 1,x,L(y,z,u)).
((x * (y * x)) / x) \ L(x,y,x) = (x * y) \ x.
L(1 / x,x,L(y,z,u)) = (x * ((y * x) \ y)) / x.
(x * ((y * x) \ y)) / x = L(1 / x,x,L(y,z,u)).
L(x \ 1,x,L(y,z,u)) = (y * x) \ y.
L(x * (y / x),z,u) != x * w | L(y,z,u) / x = w.
(a(x,y,T(z,u)) * L(z,y,x)) \ T(z,u) = K(L(z,y,x),u).
K((x / y) \ L(x,z,y),x / y) = (y \ x) \ (x / y).
(x \ y) \ (y / x) = K((y / x) \ L(y,z,x),y / x).
K(x / y,(x / y) \ L(x,z,y)) = (x / y) \ (y \ x).
(x / y) \ (y \ x) = K(x / y,(x / y) \ L(x,z,y)).
(a(x,y,R(x,y,x)) \ z) \ x = z \ R(x,y,x).
(L(x,y,z) * u) \ L(x,y,z) = (x * u) \ x.
(x * y) / (a(z,u,y * x) \ y) = a(z,u,x * y) * x.
x / (a(y,z,u) \ (w \ L(x,v5,v6))) = a(v6,v5,x) * (w * a(y,z,u)).
(a(x,y,z) * u) \ z = u \ L(z,y,x).
(1 / (x \ y)) / (L(y,z,u) \ (a(u,z,y) \ x)) = a(L(y,z,u),(x \ y) \ 1,x \ y).
L(x,y,z) / (a(u,w,v5) \ (v6 \ x)) = a(z,y,x) \ (v6 * a(u,w,v5)).
(a(x,y,z) \ u) \ L(z,y,x) = u \ z.
L(x,y,z) / ((u * a(z,y,x)) \ x) = T(u,a(z,y,x)).
T(x,a(y,z,u)) = L(u,z,y) / ((x * a(y,z,u)) \ u).
x / (y \ L(x,z,u)) = a(u,z,x) * y.
a(x,y,z) * u = z / (u \ L(z,y,x)).
K(x / y,(x / y) \ L(x,z,y)) = (y * (L(x,z,y) / y)) \ L(x,z,y).
(x * (L(y,z,x) / x)) \ L(y,z,x) = K(y / x,(y / x) \ L(y,z,x)).
K((x / y) \ L(x,z,y),x / y) = L(x,z,y) \ (y * (L(x,z,y) / y)).
L(x,y,z) \ (z * (L(x,y,z) / z)) = K((x / z) \ L(x,y,z),x / z).
L(x,y,z) / (u \ x) = a(z,y,x) \ u.
a(x,y,z) \ u = L(z,y,x) / (u \ z).
a(x,y,z) * (L(z,y,x) / u) = z / u.
L(x * (y / x),z,u) = x * (L(y,z,u) / x).
x * (L(y,z,u) / x) = L(x * (y / x),z,u).
a(x,y,z) \ (z / u) = L(z,y,x) / u.
a(x,y,z * T(1 / u,w)) = a(x,y,z * T(u \ 1,w)).
a(x,y,z * T(u \ 1,w)) = a(x,y,z * T(1 / u,w)).
(x \ y) * (a(z,u,y) \ x) = L((x \ y) * x,u,z).
a(x,y,(z / u) * u) \ (z / u) = L(z,y,x) / u.
a(x,y,z * ((u \ 1) \ 1)) = a(x,y,z * u).
a(x,y,((z \ 1) \ (z \ u)) / z) = a(x,y,z \ T(u,z \ 1)).
a(x,y,z \ T(u,z \ 1)) = a(x,y,((z \ 1) \ (z \ u)) / z).
a(x,y,(z \ (u \ 1)) * u) = a(x,y,z \ 1).
x * (a(y,z,u * x) \ u) = L(x * u,z,y).
a(x,y,z * u) \ z = u \ L(u * z,y,x).
a(x,y,z * (1 / u)) = a(x,y,z / u).
a(x,y,z / u) = a(x,y,z * (1 / u)).
a(x,y,z / (1 / u)) = a(x,y,z * u).
a(x,y,z * u) = a(x,y,z / (1 / u)).
a(x,y,R(z,u \ 1,u)) = a(x,y,z).
a(x,y,z * (u \ 1)) = a(x,y,z / u).
a(x,y,R(z / ((u * a(w,v5,v5 \ 1)) / u),(u * a(w,v5,v5 \ 1)) / u,K(a(w,v5,v5 \ 1),u))) = a(x,y,z * K(a(w,v5,v5 \ 1),u)).
a(x,y,z / (u \ 1)) = a(x,y,z * u).
a(x,y,z * L(u \ 1,u,w)) = a(x,y,z * (u \ 1)).
a(x,y,R(z,u,u \ 1)) = a(x,y,z).
a(x,y,z) = a(x,y,R(z,u,u \ 1)).
a(x,y,z * a(u,w,w \ 1)) = a(x,y,z).
a(x,y,z) = a(x,y,z * a(u,w,w \ 1)).
a(x,y,z / a(u,w,w \ 1)) = a(x,y,z).
a(x,y,z * (u * L(u \ 1,u,w))) = a(x,y,z).
a(x,y,z * (u * (w \ (w / u)))) = a(x,y,z).
a(x,y,z * ((u \ w) * (w \ u))) = a(x,y,z).
L((x * K((y \ z) * (z \ y),x)) * ((y \ z) * (z \ y)),u,w) = ((y \ z) * (z \ y)) * L(x,u,w).
(x * ((y \ z) * (z \ y))) / L(x * ((y \ z) * (z \ y)),u,w) = a(w,u,x).
L(x * ((y \ z) * (z \ y)),u,w) = L(x,u,w) * ((y \ z) * (z \ y)).
K(x \ 1,x) * (y / (z \ 1)) = y / (z \ K(x,x \ 1)).
x / (y \ K(z,z \ 1)) = K(z \ 1,z) * (x / (y \ 1)).
K((1 / x) * (y * x),((1 / x) * (y * x)) \ (x * y)) \ (y \ ((1 / x) \ y)) = ((1 / x) * (y * x)) \ (x * y).
(x * y) / ((1 / x) * (y * x)) = y \ ((1 / x) \ y).
(x * y) / ((1 / x) * (y * x)) = L(y,x,x \ 1) \ (x * y).
L(x,y,y \ 1) \ (y * x) = (y * x) / ((1 / y) * (x * y)).
L(x,y,y \ 1) \ ((1 / y) \ L(x,y,y \ 1)) = (y * x) / ((1 / y) * (x * y)).
a((x * K(y,z)) / ((y * z) / y),z,K(y,z)) = T(x,K(y,z)) \ R(T(x,K(y,z)),K(y,z),z).
(x * y) \ (x * (y * (z * ((u \ w) * (w \ u))))) = L(z,y,x) * ((u \ w) * (w \ u)).
R(K(x \ 1,x) * (y / (z \ 1)),z \ 1,K(x,x \ 1)) = y / (z \ K(x,x \ 1)).
R(x,y / x,y \ x) \ T(x,x \ y) = (y / x) * (y \ x).
(x / y) * (x \ y) = R(y,x / y,x \ y) \ T(y,y \ x).
R(x / ((y * z) / y),(y * z) / y,K(z,y)) = (x * K(z,y)) / z.
(x * K(y,z)) / y = R(x / ((z * y) / z),(z * y) / z,K(y,z)).
((x * ((y * z) / y)) * K(z,y)) / z = R(x,(y * z) / y,K(z,y)).
T(T(x,y) * a(z,u,w),x) = T(x,y) * T(a(z,u,w),x).
a(x,y,z) * (u * K(T(u,a(x,y,z)),w)) = T(T(u,w) * a(x,y,z),u).
L(x,y,y \ 1) \ ((1 / y) \ L(x,y,y \ 1)) = (y * x) / L(T(x,y),y,y \ 1).
((1 / T(x,y)) \ y) / y = y \ ((1 / x) \ y).
x \ ((1 / y) \ x) = ((1 / T(y,x)) \ x) / x.
(x * K(y,x)) \ ((1 / y) \ (x * K(y,x))) = x \ ((1 / y) \ x).
(x * K(y,x)) \ ((1 / y) \ (x * K(y,x))) = a(y \ 1,y,x) * T(y,x).
a(R(x / y,y,K(z,y)),y,K(z,y)) = T(x,K(z,y)) \ R(T(x,K(z,y)),K(z,y),y).
T(x,K(y,z)) \ R(T(x,K(y,z)),K(y,z),z) = a(R(x / z,z,K(y,z)),z,K(y,z)).
((x * y) * z) / ((R(x,u,w) * y) * z) = R(R(x,y,z),u,w) \ R(x,y,z).
(T(x,x \ 1) * y) / T(x,x \ 1) = (x * y) / x.
(R(x \ 1,x,y) \ y) / T(x,x \ 1) = (x * y) / x.
(R(x \ 1,x,y) \ y) / T(x,x \ 1) = y * (x \ T(x,y)).
x * (y \ T(y,x)) = (R(y \ 1,y,x) \ x) / T(y,y \ 1).
x / ((y \ K(y,x)) * (x * y)) = (y * K(x,y)) * (x / (x * y)).
x / (((y * K(x,y)) \ 1) * (x * y)) = (y * K(x,y)) * (x / (x * y)).
(x * y) \ (x * ((y * z) * ((u \ w) * (w \ u)))) = L(z,y,x) * ((u \ w) * (w \ u)).
R((x * K(y \ 1,y)) / (z \ 1),z \ 1,K(y,y \ 1)) = x / (z \ K(y,y \ 1)).
(x / (x * y)) \ R(x / (x * y),z,u) = (x * (y * R(y \ 1,z,u))) / x.
((x * y) / x) * R(y \ K(y,x),z,u) = (x * (y * R(y \ 1,z,u))) / x.
(x * (y * R(y \ 1,z,u))) / x = ((x * y) / x) * R(y \ K(y,x),z,u).
(x * (y * R(y \ (x \ x),z,u))) / x = ((x * y) / x) * R(y \ K(y,x),z,u).
(x * (K(T(y,x),z) * y)) / x = (y \ (K(x,y) * T(y,z))) * y.
(x * (K(T(y,x),z) * y)) / x = (y \ ((T(y,z) / x) * T(x,y))) * y.
(x * (K(T(y,x),z) * y)) / x = (y \ ((T(y,z) * T(x,y)) / x)) * y.
(x \ ((T(x,y) * T(z,x)) / z)) * x = (z * (K(T(x,z),y) * x)) / z.
(x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y.
((x * (y * z)) / x) / z = z \ ((x * (z * y)) / x).
x \ ((y * (x * z)) / y) = ((y * (z * x)) / y) / x.
x \ ((y * (x * (z / x))) / y) = ((y * z) / y) / x.
x \ ((y * (x * (z / x))) / y) = ((y * z) / y) / ((1 / x) \ 1).
((x * y) * R((x * y) \ x,z,u)) / x = ((x * y) / x) * R(y \ K(y,x),z,u).
L(R(x,y,x),y,R(x,y,x)) = x.
L(R(x,y,x),y,R(x,y,x)) = L(R(x,y,x),y,x).
L(R(x,y,x),y,R(x,y,x)) = R(L(x,y,x),y,x).
R(L(x,y,x),y,x) = L(R(x,y,x),y,R(x,y,x)).
R(T(x * K(y,x),x * y),y,x) = L(R(x,y,x),y,R(x,y,x)).
R(T(x * K(y,x),T(x * y,x)),y,x) = L(R(x,y,x),y,R(x,y,x)).
R(T(x * K(y,x),T(x * y,x)),y,x) = L(R(x,y,x),T(y,x),R(x,y,x)).
T(x * y,x) * T((y * x) \ x,z) = K(y \ 1,z) * R(x,y,x).
T(x,x \ T(y * x,x \ 1)) = T(y,x) \ (y * x).
(x \ T(y * x,x \ 1)) \ T(y * x,x \ 1) = T(y,x) \ (y * x).
(x \ T(y * x,x \ 1)) \ T(y * x,R(x \ 1,x,y)) = T(y,x) \ (y * x).
(x \ T(y * x,x \ 1)) \ T(y * x,R(1 / x,x,y)) = T(y,x) \ (y * x).
R(x * K(y,x),z,u) * (x \ K(x,y)) = (y * R(x,z,u)) / (y * x).
(K(x,L(x,y,x) * y) / x) * R((x * (y * x)) / (L(x,y,x) * y),z,u) = ((L(x,y,x) * y) * R(x,z,u)) / ((L(x,y,x) * y) * x).
((x * (y / x)) * R(x,z,u)) / ((x * (y / x)) * x) = (K(x,y) / x) * R(x * K(x * (y / x),x),z,u).
(K(x,y) / x) * R(x * K(x * (y / x),x),z,u) = ((x * (y / x)) * R(x,z,u)) / ((x * (y / x)) * x).
(K(x,y) / x) * R((y * x) / y,z,u) = (y * R(x,z,u)) / (y * x).
(K(x,y) / x) * R(x * K(y,x),z,u) = (y * R(x,z,u)) / (y * x).
(1 / (1 / x)) \ K(x,y) = K(x,y) / x.
(1 / (1 / x)) \ K(x,y) = 1 / (x * K(y,x)).
1 / (x * K(y,x)) = (1 / (1 / x)) \ K(x,y).
(x \ K(x,y)) * K(x,x \ 1) = 1 / (x * K(y,x)).
(x \ K(x,y)) * ((x * K(y,x)) * (K(x,y) / x)) = 1 / (x * K(y,x)).
((x \ K(x,y)) / 1) * ((x * K(y,x)) * (K(x,y) / x)) = 1 / (x * K(y,x)).
K(x,x \ y) / T(x * (y / x),y \ 1) = (x * (y / x)) \ K(x,x \ y).
((x * (y / x)) \ K(x,x \ y)) * T(x * (y / x),y \ 1) = K(x,x \ y).
K(x,y) * R(x * K(y,x),z,u) = x * ((y * R(x,z,u)) / (y * x)).
K(x,y) * R((y * x) / y,z,u) = x * ((y * R(x,z,u)) / (y * x)).
x * ((y * R(x,z,u)) / (y * x)) = K(x,y) * R((y * x) / y,z,u).
R(x / (x / y),z,u) * K(y,y \ x) = K(y,y \ x) * R(y * K(y \ x,y),z,u).
R(x * K(y,x),z,u) * K(x,y) = K(x,y) * R(x * K(y,x),z,u).
K(x,y) * R(x * K(y,x),z,u) = R(x * K(y,x),z,u) * K(x,y).
(1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y).
R(x / y,y,K(y,z)) \ (x / y) = R(x,K(y,z),y) \ x.
R(x / y,y,K(y,z)) \ (x / y) = x / R(x,K(y,z),y).
x / R(x,K(y,z),y) = R(x / y,y,K(y,z)) \ (x / y).
x / (y * R(y \ x,z,u)) = R(x / y,z,u) \ (x / y).
T(x / (y * R(y \ x,z,u)),R(x / y,z,u)) = x / (y * R(y \ x,z,u)).
T(x / (y * R(y \ x,z,u)),R(x / y,z,u)) = x / (R(x / y,z,u) * y).
T(x / (R(x / y,z,u) * y),R(x / y,z,u)) = x / (R(x / y,z,u) * y).
x / (R(x / y,z,u) * y) = T(x / (R(x / y,z,u) * y),R(x / y,z,u)).
R(x * K(y,x),z,u) \ (x * K(y,x)) = u / (u * ((y * R(x,z,u)) / (y * x))).
x / (x * ((y * R(z,u,x)) / (y * z))) = R(z * K(y,z),u,x) \ (z * K(y,z)).
(x * K(y,x)) \ R(x * K(y,x),z,u) = (y * R(x,z,u)) / (y * x).
T(x,y) / T(K(x,y) * T(x,z),K(x,z) \ 1) = (K(x,y) * T(x,z)) \ T(x,y).
(((x * y) / x) / ((z \ 1) \ 1)) * K(z,z \ 1) = z \ ((x * (z * (y / z))) / x).
x \ ((y * (x * (z / x))) / y) = (((y * z) / y) / ((x \ 1) \ 1)) * K(x,x \ 1).
a(x,y,z * a(u,z,u)) \ T(u * z,u) = T(u * L(z,y,x),u).
((1 / x) \ T(y,x)) \ T(y,x) = ((1 / x) \ y) \ y.
((1 / x) \ T(y,x)) \ T(y,(1 / x) \ 1) = ((1 / x) \ y) \ y.
((1 / x) \ T(y,x)) \ T(y,y \ ((1 / x) \ y)) = ((1 / x) \ y) \ y.
L(x \ y,x,x \ y) = T(y / x,y).
L(x \ y,x,x \ y) = 1 / (T(y / x,y) \ 1).
L(x \ y,x,x \ y) = 1 / ((y / x) \ K(y,x \ y)).
1 / ((x / y) \ K(x,y \ x)) = L(y \ x,y,y \ x).
K((x \ y) * x,y / x) = K(y,x \ y).
K((x \ y) * x,y / x) = K(x * (x \ y),x \ y).
K(x * (x \ y),x \ y) = K((x \ y) * x,y / x).
K((x \ y) * x,y / x) = K((x \ y) * x,x \ y).
K(x * y,(y * x) / y) = K(x * y,x).
K(x * y,x) = K(x * y,(y * x) / y).
K(x * y,L(x,y,x)) = K(x * y,x).
K(x * y,L(x,y,x)) = a(x,y,x) * K(y,x).
a(x,y,x) * K(y,x) = K(x * y,L(x,y,x)).
a(x,y,x) * (y \ T(y,x)) = K(x * y,L(x,y,x)).
K(x * y,L(x,y,x)) = a(x,y,x) * (y \ T(y,x)).
(x * y) \ T(x * y,L(x,y,x)) = a(x,y,x) * (y \ T(y,x)).
T(x / (y * R(y \ x,z,u)),R(x / y,z,u)) = R(x / y,z,u) \ (x / y).
a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x).
a(x,y,T(R(x,z,u),y)) = a(R(x,z,u),y,x).
a(R(x,y,z),u,x) = a(x,u,T(R(x,y,z),u)).
((R(x,y,z) * (u * x)) / x) \ (R(x,y,z) * u) = a(x,u,T(R(x,y,z),u)).
(R(x,y,z) * (u * x)) / x = L(R(x,y,z),u,x) * u.
(L(R(x,y,z),u,x) * u) * x = R(x,y,z) * (u * x).
a(x,y,z * a(u,z,u)) \ T(u * z,u) = T(u * L(u \ (u * z),y,x),u).
T(x * L(x \ (x * y),z,u),x) = a(u,z,y * a(x,y,x)) \ T(x * y,x).
T(x,a(y,z,u)) * K(a(y,z,u),T(x,w)) = T(x,w) * K(w,T(x,a(y,z,u))).
R(x,y * K(x,y),y \ K(y,x)) = (T(x,y) * y) * (y \ K(y,x)).
R(x,y * K(x,y),(y * K(x,y)) \ 1) = (T(x,y) * y) * (y \ K(y,x)).
x * a(x,y / x,x / y) = R(x,y / x,y \ x).
R(x,y / x,y \ x) = x * a(x,y / x,x / y).
T(x / y,x * (y / x)) = y \ x.
((R(x,y,z) \ x) * (((R(x,y,z) \ x) / u) * (x \ R(x,y,z)))) * u = T(R(x,y,z) \ x,u \ 1).
(x * ((x / y) / x)) * y = T(x,y \ 1).
(x * ((x / y) / x)) \ T(x,y \ 1) = y.
(L(x,x \ y,x) * (y / L(x,x \ y,x))) \ T(L(x,x \ y,x),y / T(x,y)) = y \ L(x,x \ y,x).
(x * (y * a(y \ 1,y,x))) \ T(x,x \ ((1 / y) \ x)) = ((1 / y) \ x) \ x.
(x / y) * ((y * (x / y)) \ T(y,y \ x)) = R(y,x / y,x \ y) \ T(y,y \ x).
R(x,y / x,y \ x) \ T(x,x \ y) = (y / x) * ((x * (y / x)) \ T(x,x \ y)).
T(T(x,x \ y) / (x * (y / x)),x * (y / x)) = y \ x.
(x * ((x / y) / x)) \ T(x,x \ (x / y)) = y.
(x * (y / x)) \ T(x,x \ y) = y \ x.
(x * (y / x)) \ T(x,x \ y) = y \ (y / (x \ y)).
(x * (y / x)) \ (T(x,x \ y) * 1) = y \ (y / (x \ y)).
a(x,y,R(y,x,y)) = x \ R(x,y,y).
a(x,y,x \ T(x * z,z)) = a(x,y,R(z,x,z)).
R(x,y,x) * K(y,x) = y \ T(y * x,x).
R(x,y,x) * K(y,x) = T(x * y,x) / y.
T(x * y,x) / y = R(x,y,x) * K(y,x).
a(x,y,R(z,x,z) * K(x,z)) = a(x,y,R(z,x,z)).
(x * R(y,x,y)) / x = R(y,x,y) * K(x,y).
K(x,R(y,x,y)) = K(x,y).
K(x,y) = K(x,R(y,x,y)).
T(x * y,x) \ T(y * x,(y * x) / y) = K(y,R(x,y,x)).
(x * R(y,x,y)) \ T(x * y,(x * y) / x) = K(x,R(y,x,y)).
(x * R(y,x,y)) \ T(x * y,(x * y) / x) = K(x,y * K(x * y,y)).
(x * y) \ K(x * y,y \ (x \ 1)) = 1 / (x * y).
K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)).
T(x / a(y,z,y),z * a(y,z,y)) = a(y,z,y) \ T(x,z).
T(x / a(y,z,y),z * a(y,z,y)) = a(y,z,y) \ (z \ (x * z)).
T(x / a(y,z,y),z * a(y,z,y)) = (z * a(y,z,y)) \ (x * z).
L(x,x \ y,x) * (y / L(x,x \ y,x)) = x * (y / x).
(x * (y / x)) / (y / L(x,x \ y,x)) = L(x,x \ y,x).
(x * (y / T(x,y))) / x = y / L(x,x \ y,x).
(x * (y / x)) / T(x,y) = y / L(x,x \ y,x).
(x / y) * a(y,y \ x,y) = (y * (x / y)) / T(y,x).
(x / y) * a(y,x / y,y) = (y * (x / y)) / T(y,x).
(a(x,y,K(y,z)) * (x * T(y,z))) \ (((x * y) * K(y,z)) * a(x,y,K(y,z))) = a(x,y,K(y,z)) * K(x * T(y,z),a(x,y,K(y,z))).
(x * y) \ ((y * x) * x) = x * K(y,x).
x * K(y,x) = (x * y) \ ((y * x) * x).
L(x \ T(x * y,y),x,y) = y * K(x,y).
x * K(y,x) = L(y \ T(y * x,x),y,x).
(T(x,y) / y) / (x / T(y,x)) = 1.
1 = (T(x,y) / y) / (x / T(y,x)).
K(x,a(y,x,y)) = 1.
a(x,x \ y,x) * (y / x) = (y / x) * a(x,y / x,x).
T(x / a(y,z,y),z * a(y,z,y)) = (a(y,z,y) * z) \ (x * z).
T(x,a(y,x,y)) = x.
a(x,y,x) * y = y * a(x,y,x).
(x * K(y,x)) \ T(x * y,x) = a(x,y,x) * y.
T(x * y,L(x,y,x)) / (a(x,y,x) * y) = x * K(y,x).
(x * K(y,x)) \ T(x * y,L(x,y,x)) = a(x,y,x) * y.
(x * K(y,x)) \ T(x * y,L(x,y,x)) = L(x,y,x) \ (x * y).
a(T(x,y),T(y,x),T(y,x) \ 1) = a(x,y,T(y,x) \ 1).
a(x,y,T(y,x) \ 1) = a(T(x,y),T(y,x),T(y,x) \ 1).
T(x,y) \ ((x * y) * (T(y,x) \ 1)) = a(x,y,T(y,x) \ 1).
T(x,T(y,x)) \ ((x * y) * (T(y,x) \ 1)) = a(x,y,T(y,x) \ 1).
(x * y) \ T(x * y,T((y * x) / y,x * y)) = a(x,y,x) * (y \ T(y,x)).
(T(x,y) * z) \ ((x * z) * K(T(x,z),y)) = a(z,T(x,z),K(T(x,z),y)).
(x * (1 / T(x,y))) \ (T(x,z) * (1 / T(x,y))) = R(T(K(x,z),K(y,x)),x,1 / T(x,y)).
R(T(K(x,y),K(z,x)),x,1 / T(x,z)) = (x * (1 / T(x,z))) \ (T(x,y) * (1 / T(x,z))).
R(T(x,x \ y),z,u) \ ((x \ y) \ y) = u / (u * T(x \ R(x,z,u),y)).
R(T(x,x \ y),z,u) \ T(x,x \ y) = u / (u * T(x \ R(x,z,u),y)).
x / (x * T(y \ R(y,z,x),u)) = R(T(y,y \ u),z,x) \ T(y,y \ u).
x / (x * (y \ R(y,z,x))) = R(y,z,x) \ y.
R(R(x,y,z) \ x,x \ R(x,y,z),z) = z / (z * (x \ R(x,y,z))).
(T(x,y) / z) * T(z,x) = K(z,x) * T(x,y).
K(x,y) * T(y,z) = (T(y,z) / x) * T(x,y).
K((T(x,y) / z) \ T(x,y),x) * T(x,y) = (T(x,y) / z) * T(z,x).
T(x,K(x,y) \ (x * z)) = T(x,z * (x * K(y,x))).
T(x,y * (x * K(z,x))) = T(x,K(x,z) \ (x * y)).
T(x,(x \ K(x,y)) \ z) = T(x,z * (x * K(y,x))).
T(x,((x * K(y,x)) \ 1) \ z) = T(x,z * (x * K(y,x))).
K((x \ y) * (y \ x),(x \ y) \ 1) / (x \ y) = (y \ x) / ((y \ x) / (1 / (x \ y))).
K(x / (y \ 1),y \ 1) / y = x / (x / (1 / y)).
x / (x / (1 / y)) = K(x / (y \ 1),y \ 1) / y.
x / (x / (1 / y)) = (1 / y) * K(x / (y \ 1),y \ 1).
K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u).
K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u).
K(x * (y * (x \ 1)),x) = K(R(y,x \ 1,x),x).
K(R(x,y \ 1,y),y) = K(y * (x * (y \ 1)),y).
R(1 / (K((x \ 1) * y,x) / x),1 / x,y) = ((1 / x) * y) \ (1 * y).
K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u).
K((K(x,y) / x) * z,u) = K(((x * K(y,x)) \ 1) * z,u).
L(x \ K(y / (x \ 1),x \ 1),x,x \ 1) = y / (y / (1 / x)).
K(a(x,y \ 1,y) \ 1,z) = K(y * (x \ (x / y)),z).
K((1 / x) \ y,z) = K((x \ 1) \ y,z).
K((x \ 1) \ y,z) = K((1 / x) \ y,z).
K((1 / x) * y,z) = K((x \ 1) * y,z).
K(K(x,x \ 1) * y,z) = K(y,z).
K((x * (y \ 1)) * y,z) = K(R(x,y \ 1,y),z).
K(R(x,y \ 1,y),z) = K((x * (y \ 1)) * 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),z) = K(x / (1 / y),z).
K(x * K(y \ 1,y),z) = K(x,z).
K(x * K(y,y \ 1),z) = K(x,z).
K(x * K(y,y \ 1),z) = K(x,z * K(u,u \ 1)).
K(x,y * K(z,z \ 1)) = K(x * K(u,u \ 1),y).
((x * y) / x) * (R((x * y) / x,z,u) \ w) = ((x * y) / (x * R(y,z,u))) * w.
((x * y) / (x * R(y,z,u))) * w = ((x * y) / x) * (R((x * y) / x,z,u) \ w).
R((x * y) / x,z,u) \ ((x * y) / x) = (x * y) / (x * R(y,z,u)).
(x * ((y * R(z,u,w)) / (y * z))) \ x = (y * z) / (y * R(z,u,w)).
x / ((y * z) / (y * R(z,u,w))) = x * ((y * R(z,u,w)) / (y * z)).
((x * R(y,z,u)) / (x * y)) \ 1 = (x * y) / (x * R(y,z,u)).
(x * y) / (x * R(y,z,u)) = ((x * R(y,z,u)) / (x * y)) \ 1.
x / (((y * R(z,u,w)) / (y * z)) * x) = (y * z) / (y * R(z,u,w)).
1 / ((x * R(y,z,u)) / (x * y)) = (x * y) / (x * R(y,z,u)).
(x * y) / (x * R(y,z,u)) = 1 / ((x * R(y,z,u)) / (x * y)).
x * ((y * K(z,y)) * K(T(y,x),z)) = y * T(x,y * K(z,y)).
a(x * K(y,x),z,u) * ((u * x) \ x) = (L(u,z,x * K(y,x)) * x) \ x.
(L(x,y,z * K(u,z)) * z) \ z = a(z * K(u,z),y,x) * ((x * z) \ z).
K(x \ y,a(x,x \ y,x)) = (T(y,x) / x) / (y / T(x,y)).
(T(x,y) / y) / (x / T(y,x)) = K(y \ x,a(y,y \ x,y)).
x * ((y * K(x,y)) / x) = T(x,y) * (y / x).
T(x,y) * (y / x) = x * ((y * K(x,y)) / x).
T(x,y) * ((y * K(x,y)) / T(x,y)) = x * ((y * K(x,y)) / x).
R(T(x,a(x,y,x) \ T(z,x)),y,x) = R(T(x,z / a(x,y,x)),y,x).
T(R(x,y,x),a(x,y,x) \ T(z,x)) = R(T(x,z / a(x,y,x)),y,x).
R(T(x,y / a(x,z,x)),z,x) = T(R(x,z,x),a(x,z,x) \ T(y,x)).
T(R(x,y,x),a(x,y,x) \ T(z,x)) = T(R(x,y,x),z / a(x,y,x)).
T(R(x,y,x),z / a(x,y,x)) = T(R(x,y,x),a(x,y,x) \ T(z,x)).
T(x,((y * x) / y) \ y) * (((y * x) / y) \ y) = (y * K(x,y)) * K(x,((y * x) / y) \ y).
(x * K(y,x)) * K(y,((x * y) / x) \ x) = T(y,((x * y) / x) \ x) * (((x * y) / x) \ x).
T(x,((y * x) / y) \ y) * (((y * x) / y) \ y) = x * ((y * K(x,y)) / x).
x * (((y * x) / y) \ y) = y * K(x,y).
x * K(y,x) = y * (((x * y) / x) \ x).
T((T(x,y) * y) / x,L(x,y,x)) = y * K(x,y).
T(K(x,y) * ((x * y) / x),L(x,y,x)) = y * K(x,y).
T(K(x,y) * ((x * y) / x),L(x,y,x)) = x * (x \ (y * K(x,y))).
T(K(x,y) * ((x * y) / x),L(x,y,x)) = x * ((x * K(y,x)) \ y).
T((T(x,y) * y) / x,L(x,y,x)) = x * (((y * x) / y) \ y).
(x * y) / ((y * x) / y) = (T(x,y) * y) / x.
T(K(x,y) * ((x * y) / x),L(x,y,x)) = (x * K(y,x)) \ (x * y).
(x * y) / ((y * x) / y) = K(x,y) * ((x * y) / x).
(x * y) / (x * K(y,x)) = K(x,y) * ((x * y) / x).
K(x,y) * ((x * y) / x) = (x * y) / (x * K(y,x)).
(x * y) / (x * K(y,x)) = ((x * y) / x) * K(x,y).
((x * y) / x) * K(x,y) = (x * y) / (x * K(y,x)).
K((x / (x / y)) * (y \ x),x / (x / y)) = K(x,y).
K((x / (x / y)) * (y \ x),x / (x / y)) = K(y * (y \ x),y).
K((x / (x / y)) * (y \ x),x / (x / y)) = K((y \ x) * y,y).
T(x,y) \ ((T(x,y) * (x \ z)) * x) = K(y,x) * T(K(y,x) \ z,x).
(x * K(y,x)) \ ((1 / y) \ (x * K(y,x))) = ((1 / T(y,x)) \ x) / x.
(a(x,y,K(z,z * u)) \ T(z,u)) / R(z,u,z) = L(K(z,z * u),y,x).
K(x,x * y) \ T(x,y) = R(x,y,x).
(R(x,y,z) \ T(x,u)) \ T(x,u) = R(x,y,z).
T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y).
R(x,y,z) \ T(x,u) = T(x,u) / R(x,y,z).
(K(x,y) \ 1) \ T(T(x,y) * (K(x,y) \ 1),z) = K(x,z) * T(x,y).
L(T(x,y),K(x,z),K(x,z) \ 1) = T(T(x,z) * (K(x,z) \ 1),y).
(K(x,y) \ 1) * T(x,y) = T(x,y) * (K(x,y) \ 1).
(K((x \ 1) \ 1,y) \ 1) * T(x,y) = T(x,y) * (K(x,y) \ 1).
(K(x \ (x / (y \ 1)),x) \ 1) * T(y,x) = T(y,x) * (K(y,x) \ 1).
T(x,y) * (K(x,y) \ 1) = (K(y \ (y / (x \ 1)),y) \ 1) * T(x,y).
R(1 * (R(x,y,z) \ x),x \ R(x,y,z),z) = z / (z * (x \ R(x,y,z))).
K((T(x,y) / z) \ (T(x,y) * 1),x) * T(x,y) = (T(x,y) / z) * T(z,x).
((x * y) / x) * K(y,z) = T(y,z) * K(x,y).
T(x,y) * K(z,x) = ((z * x) / z) * K(x,y).
((x * ((y * z) / y)) * K(z,u)) / (K(y,z) * T(z,u)) = R(x,(y * z) / y,K(z,u)).
R(x,(y * z) / y,K(z,u)) = ((x * ((y * z) / y)) * K(z,u)) / (K(y,z) * T(z,u)).
((x * y) / x) * K(y,z) = K(x,y) * T(y,z).
(x * K(y,x)) * K(x,z) = K(y,x) * T(x,z).
(x * K(y,x)) * K((x \ 1) \ 1,z) = K(y,x) * T(x,z).
(x / (x * y)) \ R(x / (x * y),z,u) = ((x * y) / x) * R(y \ K(y,x),z,u).
((x * y) / x) * R(y \ K(y,x),z,u) = (x / (x * y)) \ R(x / (x * y),z,u).
(x / y) * R((x / y) \ 1,z,u) = (y / x) \ R(y / x,z,u).
(x / y) \ R(x / y,z,u) = (y / x) * R((y / x) \ 1,z,u).
((x / y) \ 1) \ R((x / y) \ 1,z,u) = (y / x) \ R(y / x,z,u).
((x / y) \ 1) \ R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y.
(x / y) * K(z \ R(z,u,w),y) = x / T(y,z \ R(z,u,w)).
x / T(y,z \ R(z,u,w)) = (x / y) * K(z \ R(z,u,w),y).
T(T(x * K(y,x),z * (x * K(y,x))),y) = T(x,((x * K(y,x)) \ 1) \ z).
L(x \ 1,(y * x) / y,1 / x) = 1 / x.
L(x \ 1,(y * x) / y,1 / x) = T(1 / x,y \ T(y,x)).
T(1 / x,y \ T(y,x)) = L(x \ 1,(y * x) / y,1 / x).
T(1 / x,(1 / x) * ((y * x) / y)) = L(x \ 1,(y * x) / y,1 / x).
L(x \ 1,(y * x) / y,1 / x) = T(1 / x,(1 / x) * ((y * x) / y)).
T(1 / x,(y * x) / y) = x \ 1.
((x \ 1) / (y \ T(y,x))) * (y \ T(y,x)) = T(1 / x,(y * x) / y).
K(x,y * K(z,z \ 1)) = K(u \ 1,u) * (x \ T(x * K(u,u \ 1),y)).
(x \ y) * K(K(x,x \ y) \ 1,z) = (y / x) * T(K(x \ y,x),z).
(x \ y) * K(K(x,x \ y) \ 1,z) = (y / x) * T(K(y / x,x),z).
R(T(x * K(T(y,x),x),T(x * y,x)),y,x) = L(R(x,y,x),T(y,x),R(x,y,x)).
x / (((y * R(z,u,w)) / (y * z)) \ 1) = x * ((y * R(z,u,w)) / (y * z)).
x / (((y * R(z,u,w)) / (y * z)) * x) = 1 / ((y * R(z,u,w)) / (y * z)).
1 / ((x * R(y,z,u)) / (x * y)) = w / (((x * R(y,z,u)) / (x * y)) * w).
R(x,(y * R(z,u,w)) / (y * z),v5) = x.
((x * y) / x) * ((x * R(y,z,u)) / (x * y)) = R((x * y) / x,z,u).
T((x / y) \ R(x / y,z,u),x) = x \ (y * R(y \ x,z,u)).
((x * y) / x) \ R((x * y) / x,z,u) = (x * R(y,z,u)) / (x * y).
(x * R(y,z,u)) / (x * y) = ((x * y) / x) \ R((x * y) / x,z,u).
(x * R(x \ y,z,u)) / y = (y / x) \ R(y / x,z,u).
(x * (y / x)) / ((x * (y / T(x,y))) / x) = L(x,x \ y,x).
(x * (y / x)) / ((x * (y / T(x,y))) / x) = L(x,y / x,x).
a(x,x \ y,x) * (y / x) = (x * (y / x)) / T(x,y).
(x * (y / x)) / T(x,y) = a(x,x \ y,x) * (y / x).
L(x,x \ y,x) \ (x * (y / x)) = (x * (y / x)) / T(x,y).
L(x,y / x,x) \ (x * (y / x)) = (x * (y / x)) / T(x,y).
x * (a(x \ 1,x,y) * K(x,y)) = y \ ((1 / x) \ y).
x \ ((1 / y) \ x) = y * (a(y \ 1,y,x) * K(y,x)).
(x * a(x \ 1,x,y)) * K(x,y) = y \ ((1 / x) \ y).
(x * a(x \ 1,x,y)) * K((1 / x) \ 1,y) = y \ ((1 / x) \ y).
(x * (y * z)) / (L(z,y,z) * y) = (x / (L(z,y,z) * y)) * (y * z).
(x / (L(y,z,y) * z)) * (z * y) = (x * (z * y)) / (L(y,z,y) * z).
K(x,x * y) / L(x,y,x) = 1 / ((y * x) / y).
K(x,x * y) / L(x,y,(y * x) / y) = 1 / ((y * x) / y).
K(x,y * x) / L(x,y,(y * x) / y) = 1 / ((y * x) / y).
(1 / x) \ (y * K(x,y)) = (1 / T(x,y)) \ y.
a(x \ 1,x,y) * (T(x,y) * y) = (1 / x) \ (y * K(x,y)).
L(T(x,y \ 1),x \ (y \ x),y) = (y * (x \ (y \ x))) \ x.
(x * (y \ (x \ y))) \ y = L(T(y,x \ 1),y \ (x \ y),x).
(R(x,y,z) * (x \ u)) * (R(x,y,z) \ x) = u * K(x \ R(x,y,z),u).
R(T(x * K(y,x),R(x,z,u) * y),z,u) = L(R(x,z,u),y,R(x,z,u)).
R(K(x / y,z),x / y,y) = (y * T(y \ x,z)) / x.
R(K(((x / y) \ 1) \ 1,z),x / y,y) = (y * T(y \ x,z)) / x.
(x * (R(x,y,z) \ u)) * (x \ R(x,y,z)) = u * K(R(x,y,z) \ x,u).
x * K(R(y,z,u) \ y,x) = (y * (R(y,z,u) \ x)) * (y \ R(y,z,u)).
a(x,y,R(R(x,y,x),z,u)) = R(a(x,y,x),x * z,u).
((R(x,y,x) * z) * u) / ((x * z) * u) = R(a(x,y,x),x * z,u).
R(a(x,y,x),x * z,u) = ((R(x,y,x) * z) * u) / ((x * z) * u).
R((x / y) \ R(x / y,z,u),x / y,y) = (y * R(y \ x,z,u)) / x.
L(K(x,y),K(y,z),K(y,z) \ 1) / (K(x,y) * K(y,z)) = K(y,z) \ 1.
(K(x,y) \ 1) \ L(T(x,z),K(x,y),K(x,y) \ 1) = K(x,z) * T(x,y).
(K(x,y) \ 1) \ T(T(x,y) * (K(x,y) \ 1),z) = T(K(x,z) * T(x,y),K(x,y) \ 1).
T(K(x,y) * T(x,z),K(x,z) \ 1) = (K(x,z) \ 1) \ T(T(x,z) * (K(x,z) \ 1),y).
(K(x,y) * T(x,z)) * (K(x,z) \ 1) = T(T(x,z) * (K(x,z) \ 1),y).
K(x,R(K(x,y),z,u)) = 1.
T(x,x \ (x \ L(x,y,z))) = a(z,y,x) \ ((x \ (a(z,y,x) \ 1)) \ 1).
a(x,y,z) \ ((z \ (a(x,y,z) \ 1)) \ 1) = T(z,z \ (z \ L(z,y,x))).
K(x,y) / (1 / y) = 1 / (K(y,x) / y).
1 / (K(x,y) / x) = K(y,x) / (1 / x).
(1 / (1 / x)) * K(y,x) = 1 / (K(x,y) / x).
1 / (K(x,y) / x) = (1 / (1 / x)) * K(y,x).
K(x \ 1,x) * (x * K(y,x)) = 1 / (K(x,y) / x).
1 / (K(x,y) / x) = K(x \ 1,x) * (x * K(y,x)).
K(x,x \ 1) \ (x * K(y,x)) = 1 / (K(x,y) / x).
K(T(x,y),T(x,y) \ ((1 / y) \ x)) = K(x,y).
K(T(x,y),T(x,y) \ ((1 / y) \ x)) = K(T(x,y),y).
K(T(x,y),T(x,y) \ ((1 / y) \ x)) = K(T(x,y),(y \ 1) \ 1).
T(x / (R(x / y,z,u) * y),R(x / y,z,u)) = R(x / y,z,u) \ (x / y).
R(x / y,z,u) \ (x / y) = T(x / (R(x / y,z,u) * y),R(x / y,z,u)).
R(R(x,y,z) \ x,R(x,y,z),u) = R(x,y,z) \ x.
R(R(x,y,z) \ x,R(x,y,z),x \ u) = R(x,y,z) \ x.
R(x,y,z) \ x = R(R(x,y,z) \ x,R(x,y,z),x \ u).
R(R(x,y,z) \ x,R(x,y,z),x \ u) = 1 * (R(x,y,z) \ x).
a(x,y,x) \ (R(x,z,x) \ u) = R(x,y,x) \ (a(x,z,x) \ u).
R(x,y,x) \ (a(x,z,x) \ u) = a(x,y,x) \ (R(x,z,x) \ u).
T(1 / T((L(x,y,z) * u) / L(x,y,z),x),K(u,L(x,y,z))) = K(T(u,x),L(x,y,z)) / T(u,x).
T(x,y) / ((L(y,z,T(x,u)) * x) \ x) != x * w | L(y,z,T(x,u)) = w.
(T(x,y) * z) \ ((T(x,y) * (x \ z)) * x) = K(K(y,x) \ z,x).
(T(x,y) * z) / T(x,K(y,x) \ z) = T(x,y) * (x \ z).
K(T(x,y) * (x \ z),x) = K(K(y,x) \ z,x).
K((T(x,y) \ z) \ u,x) = K(z \ (T(x,y) * u),x).
K(x \ (T(y,z) * u),y) = K((T(y,z) \ x) \ u,y).
K(L(x,y,T(z,u)),z) = K(x,z).
K(x,y) = K(L(x,z,T(y,u)),y).
T(x,y) / ((L(y,z,T(x,u)) * x) \ x) = x * L(y,z,T(x,u)).
T(x,T(x,y) * (x \ z)) = T(x,K(y,x) \ z).
K(L(x,y,T(z,u)),z) = T(z,x) \ z.
T(x,L(y,z,T(x,u))) = T(x,y).
T(x,L(y,z,T(x,u))) = K(u,T(x,y)) * T(T(x,u),y).
K(x,T(y,z)) * T(T(y,x),z) = T(y,L(z,u,T(y,x))).
L(R(x,y / x,(y / x) \ 1),x \ y,x) = T(y * ((y / x) \ 1),y).
T(x * ((x / y) \ 1),x) = L(R(y,x / y,(x / y) \ 1),y \ x,y).
(x * K(y,x)) * (K(x,y) / x) = K(x,x \ 1).
(x / K(x,y)) * (K(x,y) / x) = K(x,x \ 1).
(x / K(x,y)) * (K(x,y) / x) = K(x,x \ K(x,y)).
(x \ K(x,y)) \ (K(x,y) / x) = (x / K(x,y)) * (K(x,y) / x).
((x * K(y,x)) * (K(x,y) / x)) \ (x * K(y,x)) = 1 / (K(x,y) / x).
K(T(x,y),T(x,y) \ ((1 / y) \ x)) = K(T(x,y),x \ ((y \ 1) \ x)).
((x \ K(y,x)) / K(y,x)) \ 1 = x / a(x \ 1,x,T(x,y) \ 1).
x / a(x \ 1,x,T(x,y) \ 1) = ((x \ K(y,x)) / K(y,x)) \ 1.
((x / y) * (T(z * y,z) / z)) / L(T(a(z,y,z),x),y,x / y) = T(x,L(a(z,y,z),y,x / y)).
a(L(x,y / T(x,z),u),z,x) \ 1 = L(a(x,z,x) \ 1,y,u).
L(x,y,z) \ L(R(x,u,x),y,z) = L(a(x,u,x),y * x,z).
L(a(x,y,x),z * x,u) = L(x,z,u) \ L(R(x,y,x),z,u).
a(x,y,L(R(x,y,x),z,u)) = L(a(x,y,x),z * x,u).
(T(x,x \ y) * (x \ y)) \ (T(x,x \ y) * y) = T(x,y).
(R(x,y,z) * K(x,u)) * (x / R(x,y,z)) = T(x,u).
T(x,y) = (R(x,z,u) * K(x,y)) * (x / R(x,z,u)).
(R(x,y,z) * K(x,u)) / (x \ R(x,y,z)) = T(x,u).
T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y).
(x * T(y,z)) * (y \ R(y,u,w)) = x * (R(y,u,w) * K(y,z)).
x * (R(y,z,u) * K(y,w)) = (x * T(y,w)) * (y \ R(y,z,u)).
((x / y) * T(y,z)) * R(y,u,w) = x * (R(y,u,w) * K(y,z)).
R(T(x,y),z,u) * (T(x,y) \ (y \ w)) = ((x * y) / R(T(x,y),z,u)) \ w.
((x * y) / R(T(x,y),z,u)) \ w = R(T(x,y),z,u) * (T(x,y) \ (y \ w)).
(x * (R(y,z,u) \ y)) \ w = R(y,z,u) * (y \ (x \ w)).
R(R(x,y,z) \ x,R(x,y,z),x \ u) = (u / u) * (R(x,y,z) \ x).
x / (R(y,z,u) * (y \ (w \ x))) = w * (R(y,z,u) \ y).
x / (R(y,z,u) * (y \ w)) = (x / w) * (R(y,z,u) \ y).
x / ((y \ R(y,z,u)) * w) = (x / w) * (R(y,z,u) \ y).
(((x \ K(y,x)) * T(x,x \ 1)) \ (x \ K(y,x))) * T(x,x \ 1) = a(x,x \ 1,K(y,x)).
a(x,y,L(T(x,y),z,u)) = a(L(x,z,u),y,x).
a(L(x,y,z),u,x) = a(x,u,L(T(x,u),y,z)).
K(x \ 1,y) * z != x * (y \ (x \ y)) | a(x,y \ (x \ y),y) = z.
x * (y \ (x \ y)) != K(x \ 1,y) * z | a(x,y \ (x \ y),y) = z.
K(x \ 1,y) * a(x,y \ (x \ y),y) = x * (y \ (x \ y)).
x * (y \ (x \ y)) = K(x \ 1,y) * a(x,y \ (x \ y),y).
x * ((y * K(z,y)) * K(T(y * K(z,y),x),z)) = y * T(x,y * K(z,y)).
a(x,y,z) * (u * K(T(u,T(u,w) * a(x,y,z)),w)) = T(T(u,w) * a(x,y,z),u).
x * (y * K(T(y,x),z)) = T(y,z) * T(x,y).
T(x,y) * T(T(y,x),z) = x * (y * K(T(y,x),z)).
(x * K(y,x)) \ T(x * y,x) = y * a(x,y,x).
(x * K(x \ (x * y),x)) \ T(x * y,x) = y * a(x,y,x).
K(x * (K(y,z) / y),L((z * y) / z,z / (z * y),x)) = K(x * (K(y,z) / y),(K(y,z) / y) \ 1).
L((x * y) / x,x / (x * y),z) = (z * (K(y,x) / y)) \ z.
(x * (K(y,z) / y)) \ x = L((z * y) / z,z / (z * y),x).
a(x,x \ 1,y * (x / y)) != x * z | K(y,y \ x) / (y * (x / y)) = z.
K((x \ y) * x,L(x,z,u)) = K(y,L(x,z,u)).
K(x * y,L(y,z,u)) = K(y * x,L(y,z,u)).
T((x * y) / ((y * x) / y),L(x,y,x)) = x * (((y * x) / y) \ y).
L(R(x,y,L(T(x,y),z,u)),z,u) = L(R(x,y,L(x,z,u)),z,u).
R(T(x,(x \ (R(x,y,z) \ u)) * R(x,y,z)),y,z) = R(T(x,x \ u),y,z).
R(T(x,x \ y),z,u) = R(T(x,(x \ (R(x,z,u) \ y)) * R(x,z,u)),z,u).
T(x * y,x) * T(T(x * y,x) \ R(x,y,x),z) = K(y \ 1,z) * R(x,y,x).
x * T(y,T(y,z) * u) != L(y,u,T(y,z)) | K(u,L(y,u,T(y,z))) = x.
L(x,y,T(x,z)) != u * T(x,T(x,z) * y) | K(y,L(x,y,T(x,z))) = u.
x \ (L(x,y,x) * (R(x,z,x) \ u)) = R(x,y,x) \ (a(x,z,x) \ u).
((a(x,y,y \ 1) \ y) * ((z * a(x,y,y \ 1)) / z)) / (x \ (x / (y \ 1))) = (z * (y / (y / a(x,y,y \ 1)))) / z.
T(x,T(x,y) \ y) = T(x,x \ y).
T(x,x \ y) = T(x,T(x,y) \ y).
(T(x,y) \ y) \ T(y,x) = T(x,x \ y).
T(x,x \ y) = (T(x,y) \ y) \ T(y,x).
K(x,y / T(x,y)) = K(x,x \ y).
(T(x,y) \ y) \ T(y,x) = x * K(x,x \ y).
K(x,T(x,y) \ y) = K(x,x \ y).
K(x,x \ y) = K(x,T(x,y) \ y).
((T(x,y) \ y) * x) \ T(y,x) = K(x,x \ y).
(x \ y) * ((y * x) / y) = (T(x,y) \ y) * x.
T(x,y) * K(y \ x,y) = (y \ x) * ((x * y) / x).
K(x \ y,(y * x) / y) = K(x \ y,x).
K(x \ y,x) = K(x \ y,(y * x) / y).
R(x * K(x \ y,x),z,u) * (y / x) = y * (x \ R(x,z,u)).
K(T(x,y),(x * z) \ z) = K(x,x \ 1).
K(T(x,y),(x * z) \ z) = K(T(x,y),x \ 1).
(K(x,y) \ (y \ K(x,y))) * T(y,y \ 1) = a(y,y \ 1,K(x,y)).
((x / (x * y)) \ 1) * R(T(x / (x * y),y),z,u) = R(x / (x * y),z,u) * ((x / (x * y)) \ 1).
T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1.
T(x / y,x \ y) = ((x / y) \ 1) \ 1.
K(T(x,y),(x * z) \ z) = T(x,y) \ T(T(x,x \ 1),y).
T(x,y) \ T(T(x,x \ 1),y) = K(T(x,y),(x * z) \ z).
(x \ (y \ x)) * T(y,y \ 1) = y * (x \ (y \ x)).
T(x / y,(x / y) \ 1) = T(x / y,x \ y).
T(x / y,x \ y) = T(x / y,(x / y) \ 1).
T(x,(x * y) \ y) = T(x,x \ 1).
T(x,y \ (x \ y)) = T(x,x \ 1).
T(x,x \ 1) = T(x,y \ (x \ y)).
T(x,y \ (x \ y)) = K(x,x \ 1) * x.
K(x,y \ (x \ y)) = K(x,x \ 1).
K(x,x \ 1) = K(x,y \ (x \ y)).
a(x \ 1,x,T(x,y) \ 1) = K(x \ 1,x).
a(x,y,T(z \ 1,u * z)) = a(x,y,T(z,u) \ 1).
L(R(x,y,L(T(x,y),z,u)),z,u) = R(L(x,z,u),y,L(x,z,u)).
R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,L(T(x,u),y,z)),y,z).
R(T(x,R(x,y,z) * u),y,z) = R(T(x,u * R(x,y,z)),y,z).
R(T(x,y * R(x,z,u)),z,u) = R(T(x,R(x,z,u) * y),z,u).
K(x,y / T(x,z)) = K(x,T(x,z) \ y).
K(x,T(x,y) \ z) = K(x,z / T(x,y)).
K(x,T(y,T(x,z))) = K(x,y).
K(x,y) = K(x,T(y,T(x,z))).
T(x * K(y,x),T(z,x)) = T(x * K(y,x),z).
K(x,T(y,T(x,z))) = x \ T(x,y).
(x * T(y,T(x,z))) / T(x,y) = T(y,T(x,z)).
T(x,y / T(x,z)) = T(x,T(x,z) \ y).
T(x,T(x,y) \ z) = T(x,z / T(x,y)).
T(x,T(y,T(x,z))) = T(x,y).
T(T(x,y),z) / K(T(x,z),y) = T(x,T(z,T(x,y))).
x * a(y,y \ x,y) = T(y * (x / y),y).
x * a(y,x / y,T(y,x / y)) = T(y * (x / y),y).
T(x * (y / x),x) = y * a(x,y / x,T(x,y / x)).
(x * (y / T(x,y))) / x = (x * (y / x)) / T(x,y).
(x * (y / x)) / T(x,y) = (x * (y / T(x,y))) / x.
((T(x,y) * z) / T(x,z)) * x = T(x,y) * T(z,x).
T(x,y) * T(z,x) = ((T(x,y) * z) / T(x,z)) * x.
((T(x,y) * z) * x) / T(x,z) = T(x,y) * T(z,x).
((T(x,y) * z) * x) / T(x,z) = T(z,x) * T(T(x,z),y).
K(x * y,R(y \ 1,y,x)) = K(x * y,T(y,x) \ 1).
T(x * y,R(y \ 1,y,x)) = T(x * y,y \ 1).
T(x,y) \ ((T(x,y) * z) * x) = T(a(x,z,x),x * y) * (z * x).
a(x,T(y,x),L(x,z,u)) = a(x,y,L(x,z,u)).
T(x,x * y) * (L(x,y,x) \ z) = T(x,y) * (x \ z).
K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)).
K(x \ y,L(x,z,u)) = K(y / x,L(x,z,u)).
K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)).
L(x,y,z) * u != L(x * K(w,x),y,z) | u = K(w,L(x,y,z)).
K(x * y,(x * y) \ T(x,y)) = K(x * y,R(y \ 1,y,x)).
R(x,K(y,z),T(z,y)) \ ((x * K(y,z)) * K(z,y)) = a(x * K(y,z),K(z,y),z).
R(x,K(y,z),T(z,y)) / T(z,y) = (x * K(y,z)) / z.
((x * K(y,z)) / z) * T(z,y) = R(x,K(y,z),T(z,y)).
T(x * y,(x * y) \ T(x,y)) = T(x * y,R(y \ 1,y,x)).
x * ((1 / y) * (((1 / y) * x) \ x)) = (1 / y) \ (x / y).
x * (y * ((y * x) \ x)) = y \ (x / (y \ 1)).
a(x,y * K(x,y),(y * K(x,y)) \ 1) \ K(x,y * K(x,y)) = (y * K(x,y)) * ((x * y) \ x).
a(x,x \ (x / y),(x \ (x / y)) \ 1) \ K(x,y \ 1) = (x \ (x / y)) * (((x \ (x / y)) * x) \ x).
a(x * y,R(1 / y,y,x),R(1 / y,y,x) \ 1) \ K(x * y,R(1 / y,y,x)) = R(1 / y,y,x) * (T(x,y) \ (x * y)).
a(x,y \ 1,y) \ K(x,y \ 1) = (y \ 1) * (((y \ 1) * x) \ x).
(x \ ((y * x) * (T(y,x) \ 1))) \ K(x,T(y,x)) = T(y,x) * ((T(y,x) * x) \ x).
a(x,y,y \ 1) \ K(x,y) = y * ((y * x) \ x).
a(x,y,y \ 1) \ T(x,y) = x * (y * ((y * x) \ x)).
x * (y * ((y * x) \ x)) = a(x,y,y \ 1) \ T(x,y).
(x * ((y \ x) \ 1)) \ T(y,y \ x) = (y \ x) * (((y \ x) * y) \ y).
T(x,y) / (T(y,x) * ((T(y,x) * x) \ x)) = R(x,T(y,x),T(y,x) \ 1).
R(x,y,y \ 1) \ T(x,y) = y * ((y * x) \ x).
T(x,y) / (y * ((y * x) \ x)) = R(x,y,y \ 1).
L(K(x,y) / y,y,x) = ((1 / (1 / y)) * x) \ x.
((1 / (1 / x)) * y) \ y = L(K(y,x) / x,x,y).
(x * ((x * y) \ y)) / x = L(K(y,x) / x,x,y).
L(K(x,y) / y,y,x) = (y * ((y * x) \ x)) / y.
R(x / y,y,y \ 1) \ (x * ((y * (x / y)) \ (x / y))) = y * ((y * (x / y)) \ (x / y)).
R(x,y,(y * x) \ x) = R(x,y,y \ 1).
R(x,y,(y * x) \ x) = x * a(x,y,y \ 1).
x * a(x,y,y \ 1) = R(x,y,(y * x) \ x).
(x * (y / x)) \ (y / x) = y \ (x \ y).
T(x * y,x) \ R(x,y,x) = (y * x) \ x.
x * a(x,y,x / (y * x)) = R(x,y,(y * x) \ x).
R(x,y,(y * x) \ x) = x * a(x,y,x / (y * x)).
T((x \ (y / (x \ 1))) / (x * (x \ (y / (x \ 1)))),T(y,x) / (x \ 1)) = (x * (x \ (y / (x \ 1)))) \ (x \ (y / (x \ 1))).
T(1 / x,((y \ z) * (z \ y)) * x) = (x * ((y \ z) * (z \ y))) \ ((y \ z) * (z \ y)).
(x * ((y \ z) * (z \ y))) \ ((y \ z) * (z \ y)) = T(1 / x,((y \ z) * (z \ y)) * x).
T(x / (y * x),x * y) = (y * x) \ x.
T(x,y) / ((L(y,z,x * K(u,x)) * x) \ x) = x * L(y,z,x * K(u,x)).
T(x,y) / (y * ((y * x) \ x)) = R(x,y,(y * x) \ x).
R(x,y,(y * x) \ x) = T(x,y) / (y * ((y * x) \ x)).
T(x * y,x) * ((y * x) \ x) = R(x,y,x).
(x * L(y,z,x * K(u,x))) \ T(x,y) = (L(y,z,x * K(u,x)) * x) \ x.
R(T(1 / x,y * x),x,y) = (x * y) \ y.
((x * y) * R(1 / y,y,x)) \ T(x * y,R(1 / y,y,x)) = T(x,y) \ (x * y).
(x * L(y,z,u)) \ T(x,y) = a(u,z,y) * ((y * x) \ x).
a(x,y,z) * ((z * u) \ u) = (u * L(z,y,x)) \ T(u,z).
L((x \ T(x,y)) / y,y,x) = (y * ((y * x) \ x)) / y.
T(x,y) / ((y * x) \ x) = x * y.
(x * (y / x)) \ (y / x) = y \ T(y / x,x).
x \ T(x / y,y) = (y * (x / y)) \ (x / y).
T(x,y) = (x * y) * ((y * x) \ x).
(x * y) * ((y * x) \ x) = T(x,y).
(x * y) \ T(x,y) = (y * x) \ x.
(x * y) \ (T(x,y) * 1) = (y * x) \ x.
(((x * y) * K(y,z)) * T(z,y)) / (y * z) = R(R(x,y,K(y,z)),T(y,z),T(z,y)).
(x / (L(x,y,x) * y)) * (y * x) = x * K(x * y,x).
T(K((x \ 1) * y,x),y) = K((x \ 1) * y,x).
((x * (y * x)) * (x \ R(x,z,u))) / (y * R(x,z,u)) = L(R(x,y,R(x,z,u)),y,x).
(x / (y * T(x,y * x))) * (y * x) = x * K(x * y,x).
K(x \ K(x,y),y * x) = K(x \ 1,y * x).
K((x * K(y,x)) \ 1,y * x) = K(x \ 1,y * x).
K(T(x,T(x,y) * (z / T(x,y))),y) = K(T(x,z),y).
(x * y) * R(1 / x,x,y) = y * K(x * y,x \ 1).
K(x,x \ L(y \ 1,y,x)) = K(x,y \ (x \ 1)).
K(x * y,x \ 1) * y = y * K(x * y,x \ 1).
x * K(y * x,y \ 1) = K(y * x,y \ 1) * x.
T(K((x \ 1) * y,x),y) = K((x \ 1) * y,(x \ 1) \ 1).
K((x \ 1) * y,(x \ 1) \ 1) = T(K((x \ 1) * y,x),y).
T(K(x * y,x \ 1),y) = K(x * y,x \ 1).
K((1 / x) * (y * x),((x \ 1) * (y * ((x \ 1) \ 1))) \ (y * ((x \ 1) \ 1))) = K((x \ 1) * (y * ((x \ 1) \ 1)),(x \ 1) \ 1).
((x \ 1) \ y) * (x \ 1) = y * K(x * y,x \ 1).
x * K(y * x,y \ 1) = ((y \ 1) \ x) * (y \ 1).
K(x,x \ L(y \ 1,y,x)) = K(x,(x * y) \ 1).
K(x * y,(x * y) \ y) = K(x * y,x \ 1).
K(x,x \ (y \ x)) = K(x,y \ 1).
K(x,y \ 1) = K(x,x \ (y \ x)).
K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1).
K((x \ 1) \ (x \ y),x \ 1) = K(y,x \ 1).
K(x,y \ 1) = K((y \ 1) \ (y \ x),y \ 1).
(((x * (y * x)) / x) * z) / (y * z) = L(R(x,y,z),y,x).
K(x,y) * ((x * y) / x) = (T(x,y) * y) / x.
(x * K(y,x)) * K(y,x) = (T(y,x) * x) / y.
K(T(x,y),x \ (z \ x)) = K(T(x,y),z \ 1).
(x * (y / x)) / ((x * (y / T(x,y))) / x) = L(x,x \ (x * (y / x)),x).
L(x,x \ (x * (y / x)),x) = (x * (y / x)) / ((x * (y / T(x,y))) / x).
L(x,x \ y,x) = y / (T(y,x) / x).
x / (T(x,y) / y) = L(y,y \ x,y).
L(x,x \ (x * (y / x)),x) \ (x * (y / x)) = (x * (y / x)) / T(x,y).
((x \ y) * a(x,x \ y,x)) / (y / T(x,y)) = K(x \ y,a(x,x \ y,x)).
(x \ L(y,y \ x,y)) / ((x / T(y,x)) * (x \ L(y,y \ x,y))) = (L(y,y \ x,y) \ x) \ 1.
L(x,x \ y,x) \ y = y / T(x,y).
T(x / (x / y),x) = x / (T(x,y) / y).
x / (T(x,y) / y) = T(x / (x / y),x).
T(x / (x / y),x) \ x = x / T(y,x).
x / (x / T(y,x)) = T(x / (x / y),x).
(x / (x / y)) \ T(x,y) = x / T(y,x).
(x * K(x \ y,x)) \ T(y,x) = y / T(x,y).
T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y.
K(x / T(y,x),y) = K(y \ x,y).
K(x \ y,x) = K(y / T(x,y),x).
K(T(x,y) \ y,x) = K(x \ y,x).
K(x \ T(y,x),x) = K(x \ y,x).
K(x \ T(y,x),x) = (x * (y / x)) \ y.
(x * (y / x)) \ y = K(x \ T(y,x),x).
(T(x,y) * (T(y,x) / x)) \ y = K(x \ T(y,x),x).
L(K(x,y) \ z,K(x,y),T(y,x)) = T(y,x) * (y \ z).
T(x,y) * (x \ z) = L(K(y,x) \ z,K(y,x),T(x,y)).
(a(x,y,L(z,u,z)) \ u) \ ((L(z,y,x) * (u * z)) / z) = T(L(z,u,z),a(x,y,L(z,u,z)) \ u).
(L(L(x,y,x),z,u) * y) \ (L(x,z,u) * y) = a(L(x,z,u),y,x).
a(L(x,y,z),u,x) = (L(L(x,u,x),y,z) * u) \ (L(x,y,z) * u).
L(K(x,y),y,((y * x) / y) / y) = K(x,y).
K(x,y) = L(K(x,y),y,((y * x) / y) / y).
K(x,y * (x \ 1)) = K(x,x \ y).
T(x,y) * (x \ (K(y,x) * z)) = L(z,K(y,x),T(x,y)).
L(x,K(y,z),T(z,y)) = T(z,y) * (z \ (K(y,z) * x)).
x * y != T(x,z) * u | y = T(x,z) * (x \ u).
x * (y * R(y \ (x \ (y * (x * y))),z,u)) = (L(R(y,z,u),x,y) * x) * y.
(L(x,y,z) * (u * x)) / x = L(L(x,u,x),y,z) * u.
K(x,y) = T(y * x,y) \ T(x * y,(x * y) / x).
K(x,y) = T(y * x,y) \ T(x * y,y).
T(x * y,x) \ T(y * x,x) = K(y,x).
L(T(x,K(a(y,z,u),w)),T(K(a(y,z,u),w),x),T(w,a(y,z,u))) = (T(w,a(y,z,u)) * T(K(a(y,z,u),w),x)) \ (w * x).
(T(x,a(y,z,u)) * T(K(a(y,z,u),x),w)) \ (x * w) = L(T(w,K(a(y,z,u),x)),T(K(a(y,z,u),x),w),T(x,a(y,z,u))).
x * (T(y,z) / ((y * z) / y)) != z \ y | K(z \ y,z) = x.
x \ y != z * (T(y,x) / ((y * x) / y)) | K(x \ y,x) = z.
(x * (y \ 1)) * (x / (x * (y \ 1))) = x * K(x * (y \ 1),y).
K((x * y) / x,(y * x) / y) = K(y,x).
K(x * K(y,x),(x * y) / x) = K(x,y).
K(x * K(y,x),y * K(x,y)) = K(x,y).
T(1 / T((x * y) / x,z),K(T(y,z),x)) = K(T(y,z),x) / T(y,z).
T(1 / ((x * y) / x),K(y,x)) = K(y,x) / y.
T(K(x,y) / x,K(x,y)) = K(x,y) / x.
T(K(x,y) / x,K(x,y)) = 1 / (x * K(y,x)).
K(x,y) * T(y,T(y,z) * x) = a(T(y,z),x,T(y,x)) \ y.
L(K(x,y),T(y,x),z) * (z * T(y,x)) = z * (y * K(K(y,x) \ 1,z * T(y,x))).
x * (y * K(K(y,z) \ 1,x * T(y,z))) = L(K(z,y),T(y,z),x) * (x * T(y,z)).
(L(x,y,z) * u) \ (u * x) = L(T(x,u),y,z) \ x.
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (x * K(y \ 1,x)) * (y * (((x \ (y \ x)) * x) / (x * K(y \ 1,x)))).
(x * K(y \ 1,x)) * (y * (((x \ (y \ x)) * x) / (x * K(y \ 1,x)))) = (((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x).
(((x * K(y \ 1,x)) / ((x \ (y \ x)) * x)) \ 1) \ ((x \ (y \ x)) * x) = (y * (((x \ (y \ x)) * x) / (x * K(y \ 1,x)))) * (x * K(y \ 1,x)).
(x * (((y \ (x \ y)) * y) / (y * K(x \ 1,y)))) * (y * K(x \ 1,y)) = (((y * K(x \ 1,y)) / ((y \ (x \ y)) * y)) \ 1) \ ((y \ (x \ y)) * y).
(x * K(y \ 1,x)) / L(x,x \ (y \ x),y) = y * (x \ (y \ x)).
(x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y.
x * ((y \ (x \ y)) * y) = y * K(x \ 1,y).
K(T(x,y),R(y,x,y)) = K(x,y).
K(T(x,y),R(z,x,z)) = K(T(x,y),z).
K(R(x,y,x),y) = K(x,y).
L(R(x,y,x),T(y,x),R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)).
K(R(x,y,x),T(y,x)) = K(R(x,y,x),y).
K(T(x,y),R(z,x,z)) = T(x,y) \ T(T(x,z),y).
T(x,y) \ T(T(x,z),y) = K(T(x,y),R(z,x,z)).
R(x,y,x) * K(T(y,x) \ 1,z) = K(y \ 1,z) * R(x,y,x).
T(x,R(y,x,y)) = T(x,y).
T(x,R(y,x,T(y,x))) = T(x,y).
T(x,y) * ((y * K(x,y)) / T(x,y * K(x,y))) = x * ((y * K(x,y)) / x).
R(T(x,y),y / T(x,y),(y / T(x,y)) \ 1) \ T(x,y) = (y / T(x,y)) * ((x * (y / x)) \ T(x,y)).
R(T(x,y),y / T(x,y),(y / T(x,y)) \ 1) = (x * (y / x)) * ((y / T(x,y)) \ 1).
(x * (y / x)) * ((y / T(x,y)) \ 1) = R(T(x,y),y / T(x,y),(y / T(x,y)) \ 1).
T(x,y) * (y / T(x,y)) = x * (y / x).
T(x,y) * (T(y,x) / x) = x * (y / x).
K(x * ((y / x) / T(x,z)),x) = K(T(x,z) \ y,x).
((x \ y) * ((y * x) / y)) \ T(y,x) = K(x,x \ y).
K((x * y) / x,y \ x) = K(y,y \ x).
K(x,x \ y) = K((y * x) / y,x \ y).
(x \ y) * z != T(y,x) / ((y * x) / y) | z = K((y * x) / y,x \ y).
T(T(x,y),x \ y) * (x \ y) = T(x,y) * (y / x).
x * (K(y,x) \ (x \ K(y,x))) = a(x,x \ 1,K(y,x)).
K(x,T(y,L(z,u,T(y,x)))) = K(x,T(y,z)).
L(x \ K(y,x),T(x,y),y) = (x * y) \ y.
(T(x * y,x) / x) / L(T(a(x,y,x),z),K(z,a(x,y,x)),y) = y * K(z,a(x,y,x)).
K(x,L(y,x,T(y,z))) * T(y,T(y,z) * x) = L(y,x,T(y,z)).
L(T(x,y),K(y,x),K(z,x)) = (K(z,x) * K(y,x)) \ (x * K(z,x)).
K(x / T(y,z),y) = K(T(y,z) \ x,y).
K(T(x,y) \ z,x) = K(z / T(x,y),x).
K(T(x,T(y,z)),y) = K(x,y).
K(x,y) = K(T(x,T(y,z)),y).
T(x,T(y,z)) * K(x,y) = T(T(x,T(y,z)),y).
T(T(x,T(y,z)),y) = T(x,T(y,z)) * K(x,y).
K(x,T(y,z)) * T(x,y) = T(T(x,T(y,z)),y).
T(x,y) * L(T(T(y,x),z),K(x,y),x) = x * (y * K(T(y,x),z)).
R(T(x,y),K(T(x,y),z),K(z,x)) \ (x * K(T(x,z),y)) = K(T(x,y),z) * K(z,x).
((x * y) / R(y,z,y)) / (R(y,z,y) \ (a(y,z,y) \ T(x,y))) = T(R(y,z,y),R(y,z,y) \ (x * y)).
T(R(x,y,x),(z * x) / R(x,y,x)) = T(R(x,y,x),a(x,y,x) \ T(z,x)).
R(x,y,x) \ T(x,y) = K(x,x * y).
K(x,y) * R(x,z,x) = T(x,y) * a(x,z,x).
T(x,y) * a(x,z,x) = K(x,y) * R(x,z,x).
(x \ (y \ x)) / (x * K(y \ 1,x)) = ((y \ x) / x) / x.
K((x * K(y,x)) \ 1,L(z,x,K(y,x)) * (x * K(y,x))) = K((x * K(y,x)) \ 1,K(y,x) * (x * z)).
((x * y) * (x \ 1)) * K(x \ 1,y * x) = (x \ 1) * (x * y).
K(x \ 1,y * x) = K(x \ 1,x * y).
K(T(x,T(y,T(x,z))),z) = K(T(x,y),z).
x \ (K(y,x) * T(x,z)) = T(x,y) \ T(x,z).
L(T(x,x \ 1) \ y,T(x,((z * x) / z) \ 1),((z * x) / z) \ 1) = (x * (((z * x) / z) \ 1)) \ ((((z * x) / z) \ 1) * y).
T(x,((y * x) / y) \ 1) = T(x,x \ 1).
a(x,y,K(T(z,x) \ 1,u)) = a(x,y,K(z \ 1,u)).
a(x,y,T(z,x)) = a(x,y,z).
a(x,y,z) = a(x,y,T(z,x)).
(x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)).
T(x / y,T(y,z)) = (x / y) * K(y \ x,T(y,z)).
K(x,T(y,z)) * T(x,y) = T(T(x,y),T(y,z)).
T(T(x,y),T(y,z)) = K(x,T(y,z)) * T(x,y).
K(x / y,T(y,z)) = K(y \ x,T(y,z)).
K(x \ y,T(x,z)) = K(y / x,T(x,z)).
K(T(x,y),T(y,z)) = K(x,T(y,z)).
a(x,y / x,T(x,y / x)) = a(x,x \ y,x).
a(x,y / x,x) = a(x,x \ y,x).
K(x \ y,x) \ K(y,x) = a(x,y / x,x).
K(x,y) * a(y,x,y) = K(x * y,y).
K(x * y,y) = K(x,y) * a(y,x,y).
K(x / y,y) \ K(x,y) = a(y,x / y,y).
K(x \ y,x) \ K(y,x) = a(x,x \ y,x).
K(x,y) * a(y,x,y) = K(y * x,y).
K(x,y) \ K(y * x,y) = a(y,x,y).
K(x,y) / a(z,u,y) = T(y,x) \ L(y,u,z).
K(x,y) * T(T(y,x),z) = y * K(T(y,x),z).
x * K(T(x,y),z) = K(y,x) * T(T(x,y),z).
T(T(x,y),z) * K(z,x) = x * K(T(x,z),y).
a(x,x \ y,x) \ K(y,x) = K(x \ y,x).
a(x,y,x) * K(y,x) = K(x * y,x).
a(x,y,x) \ K(x * y,x) = K(y,x).
K(x,y) = a(y,x,y) \ K(y * x,y).
x / (T(y,z) \ L(y,u,w)) = (x / K(z,y)) * a(w,u,y).
(R(x,y,x) * L(a(x,y,x) \ z,u,w)) \ (x * z) = a(w,u,a(x,y,x) \ z).
R(x,y,x) \ x = x \ L(x,y,x).
x \ L(x,y,x) = R(x,y,x) \ x.
R(x,y,x) * K(a(x,y,x),z) = x * T(a(x,y,x),z).
x * T(a(x,y,x),z) = R(x,y,x) * K(a(x,y,x),z).
a(x,y,z) \ (a(z,u,z) \ w) = L(z,y,x) * (R(z,u,z) \ w).
a(x,y,x) \ T(z,x) = R(x,y,x) \ (z * x).
a(x,y,x) \ K(x,z) = R(x,y,x) \ T(x,z).
R(x,y,x) \ T(x,z) = a(x,y,x) \ K(x,z).
x * y != a(x,z,u) \ T(x,w) | y = a(x,z,u) \ K(x,w).
(x * K(x \ T(x * y,x),x)) \ T(x * y,x) = y * a(x,y,x).
a(x,y,z * a(u,z,u)) \ T(u * z,u) = u * L(u \ T(u * z,u),y,x).
T(x * a(y,x,y),y) = y \ T(y * x,y).
(x \ y) * a(x,x \ y,x) = T(y,x) / x.
T(x,y) / y = (y \ x) * a(y,y \ x,y).
R(x,y,x) * (a(x,y,x) \ z) = x * z.
x * y = R(x,z,x) * (a(x,z,x) \ y).
K(x,y) * R(x,z,x) = a(x,z,x) * T(x,y).
x \ (a(x,y,x) \ z) = R(x,y,x) \ z.
R(x,y,x) \ z = x \ (a(x,y,x) \ z).
(x * y) / R(y,z,y) = x / a(y,z,y).
a(x,y,x) * (R(x,y,x) \ z) = x \ z.
x * (a(x,y,x) * z) = R(x,y,x) * z.
R(x,y,x) * z = x * (a(x,y,x) * z).
(K(x * y,x) / x) * T(x,y) = a(x,y,x).
T(x * y,x) / x = y * a(x,y,x).
x * a(y,x,y) = T(y * x,y) / y.
a(x,y,R(x,y,x)) = a(x,y,x).
T(x,y) \ R(T(x,y),z,x) = T(a(x,z,x),x * y).
T(a(x,y,x),x * z) = T(x,z) \ R(T(x,z),y,x).
x * (R(x,y,x) \ z) = a(x,y,x) \ z.
a(x,y,x) \ z = x * (R(x,y,x) \ z).
a((x * y) / x,x,R(T(y,z),x,y)) = T(a(y,x,y),y * z).
T(a(x,y,x),x * z) = a((y * x) / y,y,R(T(x,z),y,x)).
(x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),y * z,x).
L(a(x,y,x),z * x,u) = (u * (z * x)) \ (u * (z * R(x,y,x))).
R(x,y,x) / a(x,y,x) = x.
x * a(x,y,x) = R(x,y,x).
x \ R(x,y,x) = a(x,y,x).
a(x,y,x) = x \ R(x,y,x).
T(x * y,x) / (y * x) = a(x,y,x).
a(x,y,x) * (y * x) = T(x * y,x).
T(x * y,x) = a(x,y,x) * (y * x).
T(x * y,L(x,y,x)) = T(x * y,x).
T(x,L(y,y \ x,y)) = T(x,y).
L(x * y,a(x,y,z) \ 1,x * y) \ (((x * y) * ((x * (y * z)) / z)) / (x * y)) = ((x * (y * z)) / z) / (x * y).
a(x,x \ y,x) * ((x * y) / x) = x * (y / x).
x * (y / x) = a(x,x \ y,x) * ((x * y) / x).
T(x,L(y,y \ x,y)) = T(x,(x / y) \ x).
L(x,x \ y,x) \ ((x * y) / x) = y / x.
L(x,y,z) / L(L(x,u,x),y,z) = a(x,T(u,x),L(x,y,z)).
L(x,y / x,x) = L(x,x \ y,x).
L(x,x \ y,x) = L(x,y / x,x).
L(x,T(y,x),x) = L(x,y,x).
((((R(x,y,z) \ x) * u) * (x \ R(x,y,z))) / (R(x,y,z) \ x)) \ u = (u * (R(x,y,z) \ x)) / u.
(((R(x,y,z) \ x) * (u * (x \ R(x,y,z)))) / (R(x,y,z) \ x)) \ u = u / (u / (R(x,y,z) \ x)).
((x * y) / x) \ x = y \ ((y * x) / y).
(((x * y) / x) / x) \ y = (y * x) / y.
R((((x * y) / x) / x) * x,L(K(y,x),x,((x * y) / x) / x),z) = (y * z) / (L(K(y,x),x,((x * y) / x) / x) * z).
(x * y) / (L(K(x,z),z,((z * x) / z) / z) * y) = R((((z * x) / z) / z) * z,L(K(x,z),z,((z * x) / z) / z),y).
L(K(x,y),y,((y * x) / y) / y) = ((y * x) / y) \ x.
((x * y) / x) \ y = L(K(y,x),x,((x * y) / x) / x).
T(x,x * y) * (L(x,y,x) \ z) = (K(x,y) * x) * (x \ z).
K(x,y) * L(x,y,x) = T(x,x * y).
((x * (y / x)) / x) \ y = y / (y / x).
((x * y) / x) * (y \ ((y * x) / y)) = x.
L(K(T(x,x \ 1),y),T(x,x \ 1),x \ K(z,x)) = K(z,x) \ ((x \ K(z,x)) * T(T(x,x \ 1),y)).
K(x,y) \ ((y \ K(x,y)) * T(T(y,y \ 1),z)) = L(K(T(y,y \ 1),z),T(y,y \ 1),y \ K(x,y)).
(((x \ K(y,x)) * T(x,x \ 1)) \ (x \ K(y,x))) * T(x,x \ 1) = T(x,x \ 1) / ((K(y,x) \ (x \ K(y,x))) \ 1).
T(x,x \ 1) / ((K(y,x) \ (x \ K(y,x))) \ 1) = (((x \ K(y,x)) * T(x,x \ 1)) \ (x \ K(y,x))) * T(x,x \ 1).
(T(x,x \ 1) * (K(y,x) \ (x \ K(y,x)))) / T(x,x \ 1) = L(1 / T(x,x \ 1),T(x,x \ 1),x \ K(y,x)).
T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y).
K(x,T(y,z)) * T(y,u) = T(y,u) * K(x,T(y,z)).
T(x,K(y,T(x,z))) = x.
K(T(x,y),z) * x = x * K(T(x,y),z).
T(x,K(T(x,y),z)) = x.
((x * y) / x) / x = y / ((y * x) / y).
(((x * y) / x) / x) * (x * K(y,x)) = y.
K(x,L(x,y,x) * y) = K(x,x * y).
a(x,y,x) \ K(x,y) = K(x,y * x).
K(x,y * x) = a(x,y,x) \ K(x,y).
a(x,y,x) * K(x,y * x) = K(x,y).
a(x,y,x) \ K(x,y) = K(x,x * y).
L(x,y,x) \ (T(x,x * y) * (L(K(x,y) \ 1,K(x,y),L(x,y,x)) * z)) = L(z,(L(x,y,x) * K(x,y)) \ L(x,y,x),L(x,y,x) * K(x,y)).
L(K(x,y) \ z,K(x,y),L(x,y,x)) = T(x,x * y) \ (L(x,y,x) * z).
a(x,y,x) * K(x,x * y) = K(x,y).
K(x,y) = a(x,y,x) * K(x,x * y).
L(x,y,x) * K(x,y) = T(x,x * y).
K(x,y) = L(x,y,x) \ T(x,x * y).
K(x,y) * L(x,y,x) = L(T(x,y),y,x).
L(T(x,y),y,x) = K(x,y) * L(x,y,x).
(x * (y / x)) / x = y / (y / (y / x)).
((x * y) / x) * ((y * x) / y) = y * x.
((x * y) / x) * K(x * K(y,x),(x * y) / x) = (x * y) / (x * K(y,x)).
(x * y) / (x * K(y,x)) = ((x * y) / x) * K(x * K(y,x),(x * y) / x).
(x / (x / y)) \ R(x / (x / y),z,u) = R(x / (x / y),z,u) * (y \ K(y,y \ x)).
R(x / (x / y),z,u) * (y \ K(y,y \ x)) = (x / (x / y)) \ R(x / (x / y),z,u).
(R(x / (x / y),z,u) * (y \ x)) / ((y \ x) * y) = (x / (x / y)) \ R(x / (x / y),z,u).
a(x / (x / y),(x / (x / y)) \ 1,(y \ x) * y) = (((x / (x / y)) \ 1) * ((y \ x) * y)) \ (y \ x).
(((x / (x / y)) \ 1) * ((y \ x) * y)) \ (y \ x) = a(x / (x / y),(x / (x / y)) \ 1,(y \ x) * y).
(x \ K(y,x)) * T(x,x \ 1) = K(y,x).
T(x,K(y,T(x,z))) = T(x,z) / K(x,z).
T(x,y) / K(x,y) = T(x,K(z,T(x,y))).
K(T(x,K(y,T(x,z))),z) = K(x,z).
T(x,K(T(x,y),z)) = T(x,y) / K(x,y).
T(x,y) / K(x,y) = T(x,K(T(x,y),z)).
K(T(x,K(T(x,y),z)),y) = K(x,y).
K(((x \ 1) * y) \ (a(x,x \ 1,y) \ z),a(x,x \ 1,y)) = K((x \ y) \ z,a(x,x \ 1,y)).
K((x \ y) \ z,a(x,x \ 1,y)) = K(((x \ 1) * y) \ (a(x,x \ 1,y) \ z),a(x,x \ 1,y)).
((x * y) / x) / x = y / (x * K(y,x)).
(x \ y) / (x * K(x \ y,x)) = (y / x) / x.
(x / y) / y = (y \ x) / (y * K(y \ x,y)).
(x / (y * K(x,y))) * y = x * K(y,x).
(x * y) / ((x * y) / x) != x * z | K(y,x) = z.
R(1 / (K((1 / x) * y,x) / x),1 / x,y) = ((1 / x) * y) \ (1 * y).
K(T(x,y) / y,T(y,x)) = K(y \ T(x,y),y).
K(x / y,T(y,x)) = K(y \ x,y).
(x / (y * T(x,y * x))) * (y * x) = x * K(y * x,x).
K(x,y * T(x,y * x)) = K(x,x * y).
K(x,T(y,L(z,u,T(y,x)))) * T(T(y,x),z) = T(y,L(z,u,T(y,x))).
T(x,y) \ ((z * (T(x,y) * K(y,x))) / z) = (T(x,y) \ 1) * ((z * T(x,x \ 1)) / z).
(T(x,y) \ 1) * ((z * T(x,x \ 1)) / z) = T(x,y) \ ((z * (T(x,y) * K(y,x))) / z).
T(x,y) * K(y,T(x,a(z,u,w))) = K(a(z,u,w),T(x,y)) * T(x,a(z,u,w)).
T(x,L(y,y \ x,y)) = T(x,x / (x / y)).
R(L(x,x \ y,x),y / x,(y / x) \ 1) = T(y * ((y / x) \ 1),y).
K(x,y) = L(x,y,x) \ L(T(x,y),y,x).
L(x,y,x) \ L(T(x,y),y,x) = K(x,y).
K(x,y) * L(x,y,x) = T(L(x,y,x),y).
T(L(x,y,x),y) = K(x,y) * L(x,y,x).
K(L(x,y,x),y) = K(x,y).
x * L(y,K(x,x \ z),z / (z / x)) = (z / (z / x)) * (K(x,x \ z) * y).
(x / (x / (x / y))) * y = y * (x / y).
x * (y / x) = (y / (y / (y / x))) * x.
(x / (x / y)) * K(y,y \ x) = y.
(x * K(y,x)) * ((x * y) / x) = x * y.
K(x * (y * (x \ 1)),x) = K(T(y,x \ 1),x).
K(x \ y,x) * (T(y,x) / ((y * x) / y)) = x \ y.
(x \ y) * L(z,y / x,K(x \ y,x)) = K(x \ y,x) * ((y / x) * z).
L((x * y) / x,((x * y) / x) \ 1,z) = (z * (K(y,x) / y)) \ z.
K(x,x \ K(x,y)) = K(x,x \ 1).
K(x,y) * a(x,x \ 1,K(x,y)) = (x \ 1) \ (((y * x) / y) \ 1).
(x / (x / y)) \ 1 = y \ K(y,y \ x).
(x * K(y,x)) \ R(x * K(y,x),z,u) = R(x * K(y,x),z,u) * (x \ K(x,y)).
R(x * K(y,x),z,u) * (x \ K(x,y)) = (x * K(y,x)) \ R(x * K(y,x),z,u).
(x * K(y,x)) \ R(x * K(y,x),z,u) = (K(x,y) / x) * R(x * K(y,x),z,u).
(K(x,y) / x) * R(x * K(y,x),z,u) = (x * K(y,x)) \ R(x * K(y,x),z,u).
(((x * K(y,x)) \ 1) / 1) * ((x * K(y,x)) * (K(x,y) / x)) = 1 / (x * K(y,x)).
(K(x,y) / x) \ 1 = x * K(y,x).
K((x * K(y,x)) \ 1,y * x) = K((y * x) \ y,y * x).
K((x * y) \ x,x * y) = K((y * K(x,y)) \ 1,x * y).
(x * K(x \ y,x)) \ R(x * K(x \ y,x),z,u) = (R(x * K(x \ y,x),z,u) * (y / x)) / y.
(R(x * K(x \ y,x),z,u) * (y / x)) / y = (x * K(x \ y,x)) \ R(x * K(x \ y,x),z,u).
K((x / (x / y)) * (y \ x),x / (x / y)) * y = R(x / (x / y),y \ x,x / (x / y)).
K((x / (x / y)) * (y \ x),x / (x / y)) = K((x / (x / y)) * (y \ x),y).
K((x / (x / y)) * (y \ x),y) = K((x / (x / y)) * (y \ x),x / (x / y)).
R(x / (x / y),y \ x,x / (x / y)) = R(x / (x / y),y \ x,y).
R(x / (x / y),y \ x,y) = R(x / (x / y),y \ x,x / (x / y)).
T(x / (x / (x / y)),y) = x / y.
(x / (x / y)) \ y = K(y,y \ x).
((x \ y) * ((z * x) / z)) / (x \ y) = (z * (y / (y / x))) / z.
R(x / (x / y),z,u) * (y \ x) = (y \ x) * R(y,z,u).
T(x / (x / y),x) = L(y,y \ x,y).
(x / (x / y)) * (y \ x) = (y \ x) * y.
T(x / (x / y),y \ x) = y.
(x / (x / y)) \ ((y \ x) * y) = y \ x.
x / (x / y) != y * z | K(y \ x,y) = z.
(x * K(x \ y,x)) * (y / x) = y.
((x * (y / x)) \ K(x,x \ y)) * T(y * K(x,x \ y),y \ 1) = K(x,x \ y).
(x * y) * (x / (x * y)) = x * K(x * y,y \ 1).
x * K(x * y,y \ 1) = (x * y) * (x / (x * y)).
R(x \ 1,x,K(y,y \ x)) = ((K(y,y \ x) / (y * (x / y))) \ 1) \ 1.
L(x,x \ 1,y) * (y * (1 / x)) = y * K(x,x \ y).
(x * (y / x)) / T(y,K(x,x \ y)) = K(x,x \ y).
K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x).
x * y != (z \ 1) * (x / (z \ 1)) | y = K(z \ 1,x * z).
(x \ K(y,x)) \ K(y,x) = T(x,x \ 1).
T(x,x \ 1) = (x \ K(y,x)) \ K(y,x).
K(T(x,T(x,y) * (z / T(x,y))),y) = K(T(T(x,y),z),y).
K(T(T(x,y),z),y) = K(T(x,T(x,y) * (z / T(x,y))),y).
K(T(x,T(y,T(x,z))),z) = K(T(T(x,z),y),z).
K(T(T(x,y),z),y) = K(T(x,T(z,T(x,y))),y).
K(T(x,K(y,T(x,z))),z) = K(T(x,z),z).
K(T(x,y),y) = K(T(x,K(z,T(x,y))),y).
K(T(x,K(T(x,y),z)),y) = K(T(x,y),y).
K(T(x,y),y) = K(T(x,K(T(x,y),z)),y).
K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y.
(x \ 1) / y = K(x \ 1,x) * ((1 / x) / y).
(x * a(x \ 1,x,y)) * K(y \ ((1 / x) \ y),y) = y \ ((1 / x) \ y).
K(T(x,x * y),y) = K(x,y).
K(T(x,y * x),y) = K(x,y).
K(x,y) = K(T(x,y * x),y).
K(x,T(y,L(z,u,T(y,x)))) = K(x,T(T(y,x),z)).
K(x,T(T(y,x),z)) = K(x,T(y,L(z,u,T(y,x)))).
K((x \ 1) \ (x \ y),x \ 1) = T(x \ 1,y) \ (x \ 1).
T(x \ 1,y) \ (x \ 1) = K((x \ 1) \ (x \ y),x \ 1).
((a(x,y,z) \ x) \ L(z,y,x)) \ (z / x) = K((z / x) \ L(z,y,x),z / x).
L(K(a(x,y,z),u),a(x,y,z) * T(u,a(x,y,z)),w) = L(K(a(x,y,z),u),T(u,a(x,y,z)),w * a(x,y,z)).
K((x \ y) \ z,x) = K(y \ (x * z),x).
K(x \ (y * z),y) = K((y \ x) \ z,y).
K(x * ((x \ 1) * y),x) = K(y,x).
K((x * y) \ z,x) = K(y \ (x \ z),x).
K(L(x,y,z),z) = K(x,z).
K(x,y) = K(L(x,z,y),y).
K(x \ y,(y * x) / y) * (T(y,x) / ((y * x) / y)) = x \ y.
K(x \ y,x) * (y / x) = x \ y.
((x * K(y,x)) \ 1) \ (K(x,y) / x) = (x / K(x,y)) * (K(x,y) / x).
((x * K(y,x)) * (K(x,y) / x)) \ (x / K(x,y)) = 1 / (K(x,y) / x).
K(x,y) * (x * K(y,x)) = x.
R(x / K(y,z),K(y,z),K(z,y)) = x * (K(y,z) \ 1).
x / K(x,y) = x * K(y,x).
x * (((y * x) / y) \ R((y * x) / y,z,u)) = K(x,y) * R((y * x) / y,z,u).
K(x,y) * R((y * x) / y,z,u) = x * (((y * x) / y) \ R((y * x) / y,z,u)).
x / (x * K(y,x)) = K(x,y).
K(x,y) = x / (x * K(y,x)).
K(x,y) / x = 1 / ((y * x) / y).
(x * K(y,x)) \ x = K(x,y).
K(x,y) = (x * K(y,x)) \ x.
((x * y) / x) \ 1 = y \ K(y,x).
x \ K(x,y) = ((y * x) / y) \ 1.
1 / ((x / y) \ K((y \ x) * y,x / y)) = L(y \ x,y,y \ x).
K(x * K(y,x),y * K(x,y)) = K(x * K(y,x),y).
(x * K(y,x)) / y = x / (y * K(x,y)).
(x * K(y,x)) \ y = x \ (y * K(x,y)).
(x * y) / ((x * y) / x) = x * K(y,x).
K(x,y) = (1 / ((y * x) / y)) * x.
(1 / ((x * y) / x)) * y = K(y,x).
K(x,y) = x / ((y * x) / y).
K(T(x,x * y),y) = K(L(x,y,x),y).
K(L(x,y,x),y) = K(T(x,x * y),y).
K(x,y) = x * (((y * x) / y) \ 1).
x * (((y * x) / y) \ 1) = K(x,y).
(x * K(y,x)) \ 1 = x \ K(x,y).
x \ K(x,y) = (x * K(y,x)) \ 1.
K(x,y) = ((y * x) / y) \ x.
1 / (x * K(y,x)) = K(x,y) / x.
K(x,y) / x = 1 / (x * K(y,x)).
K(x * K(y,x),y) * R(x * K(y,x),z,u) = R(x * K(y,x),z,u) * K(x,y).
R(x * K(y,x),z,u) * K(x,y) = K(x * K(y,x),y) * R(x * K(y,x),z,u).
T(1 / (x * K(y,x)),K(x,y)) = 1 / (x * K(y,x)).
(T(x,y) \ 1) * K(x,y) = K(x,y) * (T(x,y) \ 1).
T(K(x,y),T(x,y) \ 1) = K(x,y).
K(x \ (y \ x),x) = K(y \ 1,x).
R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u).
(x * K(x \ y,x)) \ y = y / x.
x / (x / y) = y * K(y \ x,y).
x \ (y / (y / x)) = K(x \ y,x).
(x \ y) \ K(x \ y,x) = (y / x) \ 1.
(x / y) \ (y \ x) = K(y \ x,y).
R(K(x \ y,x),y / x,(x \ y) \ z) \ z = (y / x) * ((x \ y) \ z).
K(x \ y,x) / (x \ y) = 1 / (y / x).
(x * (y / x)) \ y = K(x \ y,x).
K(T(x,y),T(x,y) \ ((1 / y) \ x)) = K(T(x,y),x \ ((1 / y) \ x)).
K(T(x,y),x \ ((1 / y) \ x)) = K(T(x,y),T(x,y) \ ((1 / y) \ x)).
K((x \ 1) \ (x \ y),x \ 1) = K(y,y \ (x \ y)).
x * (K(y,y \ x) / (y * (x / y))) = a(x,x \ 1,y * (x / y)).
x * K(y,y \ x) = y * (x / y).
x \ (y * (x / y)) = K(y,y \ x).
(T(K(x,y),z) \ 1) * K(x,y) = K(z,K(x,y)).
K(x,K(y,z)) = (T(K(y,z),x) \ 1) * K(y,z).
T(1 / (1 / x),y) = 1 / (K(y,x) / x).
1 / (K(x,y) / y) = T(1 / (1 / y),x).
L(x \ 1,x,x \ K(y,x)) = K(y,x) \ (1 / T(x,y)).
(x / y) \ K(x,y \ x) = T(x / y,x) \ 1.
T(x / y,x) \ 1 = (x / y) \ K(x,y \ x).
(x \ K(y,x)) * T(T(x,x \ 1),z) = T(x,y) \ T(x,z).
T(x,x \ K(y,x)) = T(x,x \ 1).
K((x \ K(y,x)) \ 1,z) = K(T(x,y),z).
x / (((T(x,y) \ 1) / K(y,x)) * x) = ((x \ K(y,x)) / K(y,x)) \ 1.
T(x,y) * (x \ K(z,x)) = T(x,z) \ T(x,y).
(T(x,y) \ 1) * ((z * ((x \ K(y,x)) \ K(y,x))) / z) = ((z * x) / z) * (x \ K(y,x)).
L(x \ K(y,x),T(x,y),y) = (x * y) \ (y * 1).
R(T(x,y),T(x,y) \ 1,z) = z / ((x \ K(y,x)) * z).
T(x,y) = 1 / (x \ K(y,x)).
1 / (x \ K(y,x)) = T(x,y).
((T(x,y) \ 1) / K(y,x)) * x = a(x \ 1,x,T(x,y) \ 1).
K(x / y,T(y,x)) = K(y \ x,T(y,x)).
K(x \ y,T(x,y)) = K(y / x,T(x,y)).
K(x \ T(y,x),x) = K(y / T(x,y),x).
L(x,y,z) * K(T(u,x),L(x,y,z)) = L(x * K(u,x),y,z).
T(x * K(y,x),y * x) = L(x,T(y,x),x).
K(T(x * K(y,x),z),y) = K(T(x,z),y).
K(T(x,y),z) = K(T(x * K(z,x),y),z).
K(x * K(y,x),y) = K(x,y).
K(x,y) = K(x * K(y,x),y).
K(K(x,y),T(x,y) \ 1) = 1.
K(x \ (y * T(x,z)),x) = K((y / x) * T(x,z),x).
K(x * T(y,x * y),y) = K(x * y,y).
K(x * y,y) = K(x * T(y,x * y),y).
K(L(x,y,x),x * y) = K((y * x) / y,x * y).
(x * y) * K(x,y) = T(x,y) * y.
K((x \ y) \ y,x \ y) = K(x,x \ y).
K(x / y,y) = K(y \ x,y).
K(x \ y,x) = K(y / x,x).
K(T(T(x,y),z),y) = K(T(x,z),y).
T(x,((y * x) / y) \ 1) = K(x \ 1,x) \ x.
(1 / T(x,y)) * ((z * ((1 / T(x,y)) \ K(y,x))) / z) = ((z * x) / z) / T(x,y).
K(x,y \ (x \ y)) * (y \ (((x \ 1) \ 1) \ y)) = y \ (x \ y).
(x * y) * a(x,K(z,y),T(y,z)) = (x * K(z,y)) * T(y,z).
(x * y) / L(T(y,z),K(z,y),x) = x * K(z,y).
L(T(x,y) \ z,T(x,y),K(y,x)) = x \ (K(y,x) * z).
x * L(y,T(x,z),K(z,x)) = K(z,x) * (T(x,z) * y).
K(x,R(y,z,u)) * R(T(y,x),z,u) = R(y,z,u).
K(x,L(y,z,u)) * L(T(y,x),z,u) = L(y,z,u).
L(T(x,y),K(y,x),z) = (z * K(y,x)) \ (z * x).
a(x,y,T(z,x) * K(x,z)) = a(x,y,T(z,x)).
(T(x,y) * K(z,x)) / (T(x,z) \ T(x,y)) = x.
K(x,y * K(x * y,y)) = K(x,R(y,x,y)).
K(x,R(y,x,y)) = K(x,y * K(x * y,y)).
K(x,y * K(x,y)) = K(x,y).
K(x,y) = K(x,y * K(x,y)).
L(K(x,y),T(y,x),x) = K(x,y).
K(x * y,(x * y) \ T(x,y)) = K(x * y,R(1 / y,y,x)).
K(x,x \ (y * T(x,z))) = K(x,(y / x) * T(x,z)).
K(x,y * T(x,y * x)) = K(x,y * x).
K(x,y * x) = K(x,y * T(x,y * x)).
K(x * y,L(x,y,x)) = K(x * y,(y * x) / y).
K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)).
K(x,R(y,x,x \ 1)) = K(x,(x * y) * (x \ 1)).
K(x,y / x) = K(x,x \ y).
K(x,x \ y) = K(x,y / x).
K(x,R(T(y,x),z,u)) = K(x,R(y,z,u)).
K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)).
(x / y) * K(y \ x,y) = y \ x.
x \ y = (y / x) * K(x \ y,x).
x \ ((T(x,y) * z) * (z \ K(y,x))) = a(T(x,y),z,z \ K(y,x)).
x * L(y,K(z,x),T(x,z)) = T(x,z) * (K(z,x) * y).
K(T(x,y),y) = K(x,y).
K(x,y) = K(T(x,y),y).
K(T(x,y * x),y) = T(y,x) \ y.
K(R(x,y,x),T(y,x)) = K(x,y).
T(T(x,y),z) \ T(x,z) = K(T(y,x),T(x,z)).
K(T(x,y),T(y,z)) = T(T(y,x),z) \ T(y,z).
((x * K(y,z)) / z) * T(z,y) = R(x,T(z,y) \ z,T(z,y)).
(x * y) * a(x,T(y,z),K(z,y)) = (x * T(y,z)) * K(z,y).
(T(x,y) \ L(x,z,u)) \ K(y,x) = a(u,z,x).
R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)).
K(x,y) * L(T(y,x),z,u) = a(u,z,T(y,x)) \ y.
R(K(x,y),T(y,x),z) = (y * z) / (T(y,x) * z).
K(x,T(y,z)) * T(T(y,x),z) = T(y,z).
T(x,y) / T(T(x,z),y) = K(z,T(x,y)).
(T(x,y) \ 1) \ K(y,x) = T(x,x \ 1).
T(x,y) = (K(y,x) / x) \ 1.
(K(x,y) / y) \ 1 = T(y,x).
(1 / T(x,y)) \ K(y,x) = x.
(K(x,y) / y) * T(y,x) = 1.
T(x,y) = K(y,x) \ x.
K(x,y) \ y = T(y,x).
K(x,y) * T(y,x) = y.
K(x,y) = (1 / T(y,x)) * y.
(1 / T(x,y)) * x = K(y,x).
K(x,y) / y = 1 / T(y,x).
T(x,y) * T(K(y,x),z) = x * K(K(x,y) \ 1,z).
T(x,y) * K(K(y,x) \ 1,z) = x * T(K(x,y),z).
T(T(x,y),z) * K(y,x) = x * K(T(x,y),z).
K(x,T(T(y,x),z)) = K(x,T(y,z)).
K(x,T(y,x)) = K(x,y).
T(x,y) \ L(x,z,u) = a(u,z,x) \ K(y,x).
a(x,y,z) \ K(u,z) = T(z,u) \ L(z,y,x).
T(x,y) \ ((T(x,y) * (x \ z)) * x) = K(y,x) * T((T(x,y) \ x) \ z,x).
K(x,y) * T((T(y,x) \ y) \ z,y) = T(y,x) \ ((T(y,x) * (y \ z)) * y).
K(L(x,y,z),z) = T(z,x) \ z.
L(T(x,y),z,u) * K(y,x) = a(u,z,T(x,y)) \ x.
a(x,y,T(z,u)) * K(u,z) = L(T(z,u),y,x) \ z.
T(x,y) \ 1 = x \ K(y,x).
x \ K(y,x) = T(x,y) \ 1.
K(x,y) = y * (T(y,x) \ 1).
x * (T(x,y) \ 1) = K(y,x).
L(K(x,y),T(y,x),z / T(y,x)) = z \ ((z / T(y,x)) * y).
L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y).
((x \ y) \ y) \ x = K(x \ y,x).
K(x \ y,x) = ((x \ y) \ y) \ x.
T(x,y) = x / K(y,x).
x / K(y,x) = T(x,y).
L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)).
K(x,L(y,z,u)) = L(T(y,x),z,u) \ L(y,z,u).
T(T(x,y),z) \ T(x,z) = K(y,T(x,z)).
K(x,T(y,z)) = T(T(y,x),z) \ T(y,z).
T(x,y) * K(y,x) = x.
K(x,y) = T(y,x) \ y.
K(x,y) = T(y,T(x,y)) \ y.
T(x,T(y,x)) \ x = (x * y) \ (y * x).
(x * y) \ (y * x) = T(x,T(y,x)) \ x.
a(x,y,((z \ 1) \ T(u,z)) \ T(u,z)) = a(x,y,T(z,u) \ 1).
(x * K(y \ x,x)) * (1 / y) = T(x * (1 / y),x).
T(x,R(L(x / y,z,u) \ 1,L(x / y,z,u),a(u,z,x / y) * y)) = T(x,L(x / y,z,u) \ 1).
T(x,R(y \ 1,y,y \ x)) = T(x,y \ 1).
((x / y) * (y * z)) / L(T(z,x),y,x / y) = T(x,L(z,y,x / y)).
(K(x * y,x) / x) * T(x,y) = x \ R(x,y,x).
T(x,R(y \ 1,y,y \ x)) = T(x,x \ (y \ x)).
T(x,x \ (y \ x)) = T(x,R(y \ 1,y,y \ x)).
L(T(x,T(y,L(x,z,u))),z,u) = L(T(x,y),z,u).
L(T(x,y),z,u) = L(T(x,T(y,L(x,z,u))),z,u).
K(x,y) * T(y,y * x) = L(y,x,y).
L(x,y,x) = K(y,x) * T(x,x * y).
T(x,x * y) \ (L(z,K(y,x),T(x,x * y)) * L(x,y,x)) = K(y,x) * T(z,T(x,x * y) * K(y,x)).
K(x,y) = T(y,y * x) \ L(y,x,y).
T(x,x * y) \ L(x,y,x) = K(y,x).
T(x,x * y) * K(y,x) = L(x,y,x).
K(x \ y,T(x,y)) = K(x \ y,x).
K(x,T(y,y * x)) = K(x,y).
K(x,T(y,x * y)) = K(x,y).
K(x,y) = K(x,T(y,x * y)).
K(x,T(y,x * y)) = x \ T(x,y).
T(x,T(y,x * y)) = T(x,y).
x / ((x / (x / y)) \ T(x,y)) = T(x / (x / y),x).
T(a(x,y,z),(x * y) \ (((x * (y * z)) / z) \ (x * y))) = T(((x * (y * z)) / z) \ (x * y),((x * (y * z)) / z) \ 1).
K(x * (y \ 1),x) = K(y \ x,x).
K(x \ y,y) = K(y * (x \ 1),y).
K((x \ 1) * y,y) = K(x \ y,y).
K(x \ y,y) = K((x \ 1) * y,y).
T(x,y * x) * T(y,x) = y * T(x,y * x).
(x \ y) / ((x \ y) / y) = x * ((y \ (x \ y)) * y).
x * ((y \ (x \ y)) * y) = (x \ y) / ((x \ y) / y).
a(x / (x / y),(x / (x / y)) \ 1,(y \ x) * y) = (x / (x / y)) * ((x / y) / x).
(x / y) * ((x \ y) * x) = y / (y / x).
R(1 / (x / (x / y)),x / (x / y),x / y) = T(x / y,x / (x / y)) / ((y \ x) * y).
T(x / y,x / (x / y)) / ((y \ x) * y) = R(1 / (x / (x / y)),x / (x / y),x / y).
(x / y) * (x / (x / y)) = (y \ x) * y.
K(R(x,y,z) \ x,x * (R(x,y,z) \ (u \ 1))) = K(R(x,y,z) \ x,u \ (R(x,y,z) \ x)).
K(x,x * (y \ 1)) = K(x,y \ x).
K(x,y \ x) = K(x,x * (y \ 1)).
((x * y) \ T(x,y \ 1)) * x = x * ((x * y) \ x).
K(x * y,y) * T(y,x) = R(y,x,y).
(K(x * y,x) / x) * T(x,y) = R(x,y,x) / x.
R(x,y,x) / x = (K(x * y,x) / x) * T(x,y).
K(x * y,x) * T(x,y) = R(x,y,x).
R(x,y,x) = K(x * y,x) * T(x,y).
K(x,x * (y \ 1)) = x \ T(x,y \ x).
T(x,y) * K(x * y,x) = R(x,y,x).
T(x,x * (y \ 1)) = T(x,y \ x).
T(x,y \ x) = T(x,x * (y \ 1)).
K(x * y,T(x,y)) = K(x * y,x).
K(x,T(y,y \ x)) = K(x,y).
K(x,x / y) = K(x,y \ x).
K(x,y \ x) = K(x,x / y).
K(x,(y \ x) \ x) = K(x,y).
K(x,y) = K(x,(y \ x) \ x).
T(L(x,y,z) * u,T(x,a(z,y,x) \ u)) = T(L(x,y,z) * u,x).
x / ((x / y) \ T(x,y \ x)) = T(x / y,x).
T(x,(y \ 1) * x) = T(x,y \ x).
T(x \ y,y \ (x \ y)) = T(x \ y,x \ 1).
T(x,(y / x) \ 1) = T(x,y \ x).
(x \ T(y,x \ y)) * y = y * (x \ y).
K(x,(y \ x) \ x) = x \ T(x,y).
T(x,T(y,y \ x)) = T(x,y).
T(x,x / y) = T(x,y \ x).
T(x,y \ x) = T(x,x / y).
T(x,(y \ x) \ x) = T(x,y).
T(x,y) = T(x,(y \ x) \ x).
T(x,(y \ x) \ T(x,y)) = T(x,y).
T((x * y) / x,z / y) = T((x * y) / x,y \ z).
T((x * y) / x,y \ z) = T((x * y) / x,z / y).
K(T(x,y),T(x,y) \ ((1 / y) \ x)) \ (x \ ((1 / y) \ x)) = T(x,y) \ ((1 / y) \ x).
(x * K(y,x)) \ ((1 / y) \ (x * K(y,x))) = ((1 / y) \ (x * K(y,x))) / x.
((1 / x) \ (y * K(x,y))) / y = (y * K(x,y)) \ ((1 / x) \ (y * K(x,y))).
L(x,y,y \ 1) \ ((1 / y) \ L(x,y,y \ 1)) = (y * x) / T(L(x,y,y \ 1),y).
(x * y) / T(L(y,x,x \ 1),x) = L(y,x,x \ 1) \ ((1 / x) \ L(y,x,x \ 1)).
((1 / x) * (((1 / x) \ y) / T(y,x))) \ y = L(T(y,x),y \ ((1 / x) \ y),1 / x).
L(T(x,y),x \ ((1 / y) \ x),1 / y) = ((1 / y) * (((1 / y) \ x) / T(x,y))) \ x.
((x * y) \ y) * T(x * y,x \ 1) = y.
T(x * y,x \ 1) = ((x * y) \ y) \ y.
a(x,y,L(T(x,y),z / T(x,y),u)) \ 1 = L(a(x,y,x) \ 1,z,u).
a(x,y,T(x,y)) = a(x,y,x).
a(x,y,x) = a(x,y,T(x,y)).
L(x,y / x,x) \ ((x * y) / x) = y / x.
(((x * (y * x)) / x) * z) / (y * z) = R(L(x,y,x),y,z).
R(L(x,y,x),y,z) = (((x * (y * x)) / x) * z) / (y * z).
((x * (y * x)) / x) / y = L(x,y,x).
L(x,y,x) = ((x * (y * x)) / x) / y.
L(x,y,x) \ ((x * (y * x)) / x) = y.
T((x * y) / x,x * y) = L(y,x,y).
(x / (y * T(z,y * z))) * (y * z) = (x * (y * z)) / (L(z,y,z) * y).
(x * (y * z)) / (L(z,y,z) * y) = (x / (y * T(z,y * z))) * (y * z).
(L(x,y,x) * y) \ (x * y) = a(x,y,x).
(x * (y * x)) / x = L(x,y,x) * y.
T(L(x,y,x) * y,x) = y * x.
L(x,y,(y * x) / y) = L(x,y,x).
T(x * K(y,x),y * x) = L(x,y,x).
K(R(x,y,x),T(y,x)) = T(y,x) \ y.
T(x,y) \ x = K(R(y,x,y),T(x,y)).
T(x,y) = (y \ x) * R(y,y \ x,y).
(x \ y) * R(x,x \ y,x) = T(y,x).
a(x,y,L(R(x,y,x),z,u)) = (u * (z * x)) \ (u * (z * R(x,y,x))).
(x * (y * z)) \ (x * (y * R(z,u,z))) = a(z,u,L(R(z,u,z),y,x)).
a(x,y,R(R(x,y,x),z,u)) = ((R(x,y,x) * z) * u) / ((x * z) * u).
((R(x,y,x) * z) * u) / ((x * z) * u) = a(x,y,R(R(x,y,x),z,u)).
a(x,y,L(R(x,y,x),z,u)) = L(x,z,u) \ L(R(x,y,x),z,u).
L(x,y,z) \ L(R(x,u,x),y,z) = a(x,u,L(R(x,u,x),y,z)).
a(x,y,R(x,y,x)) = x \ R(x,y,x).
(L(x,y,x) * y) * x = x * (y * x).
x * (y * x) = (L(x,y,x) * y) * x.
(a(x,y,z) \ u) \ T(L(z,y,x) * u,z) = R(z,a(x,y,z) \ u,z).
R(x,a(y,z,x) \ u,x) = (a(y,z,x) \ u) \ T(L(x,z,y) * u,x).
x * (y \ R(y,x,y)) = T(y * x,y) / y.
a(x,y,z) \ T(u * z,u) = L(z,y,x) * R(u,z,u).
L(x,y,z) * R(u,x,u) = a(z,y,x) \ T(u * x,u).
T(x * y,x) * ((x * y) \ T(x,y)) = R(x,y,x).
T(x,R(y,x,T(y,x))) = R(y,x,y) \ T(y * x,y).
R(x,y,x) \ T(x * y,x) = T(y,R(x,y,T(x,y))).
L(R(x,y,x),y,x) = x.
R(x,x \ y,x) = (x \ y) \ T(y,x).
T(x * y,x) / R(x,y,x) = y.
x * R(y,x,y) = T(y * x,y).
((x * y) * T(x,y)) / (x * y) = R(x,y,x).
R(L(x,y,z),u,L(T(x,u),y,z)) = R(L(x,y,z),u,L(x,y,z)).
T(x,y) * K(x * y,T(x,y)) = R(x,y,x).
R(x,y,T(x,y)) = R(x,y,x).
R(x,y,x) = R(x,y,T(x,y)).
(T(x,x \ y) * (x \ y)) \ (T(x,x \ y) * y) = T(x,x * (x \ y)).
K(x,x * (y / x)) = K(x,y).
K(x,y) = K(x,x * (y / x)).
K(x,y * x) = K(x,x * y).
K(x,x * y) = K(x,y * x).
x * y != T(x,z) | y = K(x,z).
T(x,T(x,y) * y) = T(x,x * y).
T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x).
T(T(x,y),z) / K(T(x,T(x,y) * (z / T(x,y))),y) = T(x,T(x,y) * (z / T(x,y))).
x * K(x,x * y) = T(x,y * x).
T(x,y * x) = x * K(x,x * y).
T(x,x * (y / a(z,u,x))) = T(x,y * L(x,u,z)).
T(x,y * L(x,z,u)) = T(x,x * (y / a(u,z,x))).
x * R(T(y,x * y),z,u) = L(R(y,z,u),x,y) * x.
x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x.
x * T(y,x * y) = L(y,x,y) * x.
R(T(x,R(x,y,z) * u),y,z) = T(R(x,y,z),u * R(x,y,z)).
T(x,x * (y / x)) = T(x,y).
T(x,y) = T(x,x * (y / x)).
T(x,y * x) = T(x,x * y).
T(x,x * y) = T(x,y * x).
L(x * K(x * y,x),z,u) / L(x,z,u) = K(y * x,L(x,z,u)).
T(x * K(x * y,x),y) = R(x,y,x).
T(x * K(x * y,x),y * x) = x.
K(x * ((y / x) / T(x,z)),x) = K(y / T(x,z),x).
K(x / T(y,z),y) = K(y * ((x / y) / T(y,z)),y).
K(x * (y / x),x) = K(y,x).
K(x,y) = K(y * (x / y),y).
K(x * y,y) = K(y * x,y).
a(x,y,x \ T(x * y,y)) = x \ R(x,y,y).
x \ (y \ T(y * x,x)) = K(y * x,x).
T(x * y,(x * y) / x) = T(x * y,y).
x * T(x \ y,y) = y * K((x \ 1) * y,y).
x * K((y \ 1) * x,x) = y * T(y \ x,x).
(x \ 1) * y != T((x \ 1) * z,u) | y = x * T(x \ z,u).
T(x,y) / ((x * y) / x) = (y \ x) * K(y,y \ x).
(x \ y) * K(x,x \ y) = T(y,x) / ((y * x) / y).
(x / a(y,z,T(u,x))) \ T(L(u,z,y) * x,T(u,x)) = T(u,x) * K(L(u,z,y) * x,T(u,x)).
x \ T(x * y,y) = y * K(x * y,y).
T(x,y) / ((x * y) / x) = x / y.
x * (y * K(x * y,y)) = T(x * y,y).
T(x * y,y) = x * (y * K(x * y,y)).
(x / y) \ T(x,y) = y * K(x,y).
T(x,y) / (y * K(x,y)) = x / y.
T(x,y) = (x / y) * (y * K(x,y)).
(x / y) * (y * K(x,y)) = T(x,y).
a(x,y,z) \ T((u * (u * a(x,y,z))) / u,L(z,y,x)) = T(T(u,u * a(x,y,z)),z).
(x * (x * y)) / x != z * y | T(x,x * y) = z.
((x * (x * y)) / x) / y = T(x,x * y).
K(x \ (x * y),x * y) / L(y,x,(x * y) / x) = 1 / ((x * y) / x).
K(x / y,x) = K(y \ x,x).
K(x \ y,y) = K(y / x,y).
K((x \ y) \ y,y) = K(x,y).
K(T(x,x \ y),y) = K(x,y).
(x * (x * y)) / x = T(x,x * y) * y.
T(x,x * y) * y = (x * (x * y)) / x.
T(x,y * x) * T(y,x) = (x * (y * x)) / x.
(x * K(y,x)) * K(y,x * K(y,x)) = (T(y,x) * x) / y.
(T(x,y) * y) / x = (y * K(x,y)) * K(x,y * K(x,y)).
a(x \ 1,x,y * K(x,y)) * (T(x,y) * y) = (1 / x) \ (y * K(x,y)).
a(x,y * K(x,y),(y * K(x,y)) \ 1) \ z = ((y * K(x,y)) * ((T(x,y) * y) \ x)) * z.
((x * K(y,x)) * ((T(y,x) * x) \ y)) * z = a(y,x * K(y,x),(x * K(y,x)) \ 1) \ z.
R(x,y * K(x,y),(y * K(x,y)) \ 1) \ x = (y * K(x,y)) * ((T(x,y) * y) \ x).
R(x,y * K(x,y),(y * K(x,y)) \ 1) = (T(x,y) * y) * ((y * K(x,y)) \ 1).
(T(x,y) * y) * ((y * K(x,y)) \ 1) = R(x,y * K(x,y),(y * K(x,y)) \ 1).
(x / y) * (y * K(x / y,y)) = (y \ x) * y.
T(x,y) * y = x * ((x * y) / x).
x * ((x * y) / x) = T(x,y) * y.
K(T(x,x \ y),y) = y \ (y * K(x,y)).
x \ (x * K(y,x)) = K(T(y,y \ x),x).
x * (y * K(x,y)) = T(x,y) * y.
((x \ y) * T(x,y)) * K(K(x \ y,T(x,y)),y * K(x,y)) = K(x \ y,T(x,y)) * (T(x,y) * (x \ y)).
L(T(T(x,y),z),K(u,x),u) = T(T(x,y),z).
x * (K(x,y) * y) = T(x,y) * y.
T(x,y) * y = x * (K(x,y) * y).
L(T(x,y),K(z,x),z) = T(x,y).
L(x,K(y,x),y) = x.
x = L(x,K(y,x),y).
T(T(x,y),y / x) * (x \ y) = T(x,y) * (y / x).
T((x * y) / (x * K(y,x)),L(x,y,x)) = (x * K(y,x)) \ (x * y).
T((x * y) / ((y * x) / y),L(x,y,x)) = ((y * x) / y) \ (x * y).
x * T(y / x,T(x,y)) = y.
T(x / y,T(y,x)) = y \ x.
x \ y = T(y / x,T(x,y)).
T(x,y) \ ((x * y) / x) = x \ y.
T(x,y) * (x \ y) = y * K(x,y).
T(x,y) \ (y * K(x,y)) = x \ y.
(T(x,y) \ y) \ T(y,x) = x * K(x,T(x,y) \ y).
T(x * y,x) \ T(y * x,x) = K(T(y,x),R(x,y,x)).
T(x,y) * R(y,x,y) = T(x * y,y).
T(x * (x \ y),(x \ y) \ T(y,x)) = T(y,x).
T(x,y) \ T(x * y,y) = R(y,x,y).
R(x,y,x) = T(y,x) \ T(y * x,x).
T((x * y) / x,T(x,y)) = y.
T((x * y) / x,T(z,y)) = T((x * y) / x,z).
T((x * y) / x,T(x,y)) = (y * x) / x.
L((x \ y) \ z,x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * z).
((x \ y) \ y) * (x \ y) = x * (y / x).
(x / y) * (((y \ x) \ x) / ((x / y) * ((y \ x) \ x))) = ((y \ x) \ x) / (((x / y) \ 1) * (y * (x / y))).
((x \ y) \ y) / (((y / x) \ 1) * (x * (y / x))) = (y / x) * (((x \ y) \ y) / ((y / x) * ((x \ y) \ y))).
(x / y) * (((y \ x) \ x) / ((x / y) * ((y \ x) \ x))) = a(x / y,(x / y) \ 1,y * (x / y)).
a(x / y,(x / y) \ 1,y * (x / y)) = (x / y) * (((y \ x) \ x) / ((x / y) * ((y \ x) \ x))).
T(x,x \ y) * (x \ y) = x * (y / x).
T(x,x \ y) / (x * (y / x)) = x / y.
(x \ K(y,x)) / K(y,x) = K(y,x) \ (x \ K(y,x)).
(x * ((x \ y) / T(y,x \ 1))) \ y = L(T(y,x \ 1),y \ (x \ y),x).
L(T(x,y \ 1),x \ (y \ x),y) = (y * ((y \ x) / T(x,y \ 1))) \ x.
((1 / x) \ y) / T(y,x) = y \ ((1 / x) \ y).
(x / y) * ((y \ x) \ x) = y * (x / y).
(x / y) / (y \ (y \ x)) = T(y,y \ x).
T(x,L(y / x,z,u)) = T(x,L(x \ y,z,u)).
T(x,L(x \ y,z,u)) = T(x,L(y / x,z,u)).
(x * (y / x)) / (x \ y) = T(x,x \ y).
T(x * (y / x),x) = x * (y / T(x,y)).
K(x,T(y,y \ 1) / x) / T(x * (y / x),y \ 1) = R(y \ 1,y,K(x,T(y,y \ 1) / x)).
T(x,y) / T(x,z) = T(x,z) \ T(x,y).
(x / y) \ T(x,x \ y) = x * (y / x).
T(T(x,y),z / x) = T(T(x,y),x \ z).
T(T(x,y),x \ z) = T(T(x,y),z / x).
K(T(x,y),x \ (z \ x)) = T(x,y) \ T(T(x,z \ 1),y).
T(x,y) \ T(T(x,z \ 1),y) = K(T(x,y),x \ (z \ x)).
(x \ y) / T(y,x \ 1) = y \ (x \ y).
T(x,(x / y) \ 1) = T(x,x \ y).
T(x,x \ y) = T(x,(x / y) \ 1).
T(x * y,(x * y) \ T(x,y)) = T(x * y,y \ 1).
T(x * y,(x * y) \ y) = T(x * y,x \ 1).
T(T(x,y),T(z,x)) = T(T(x,y),z).
T(1 / x,L(y / (x \ 1),x \ 1,x)) = T(1 / x,x * y).
(x * K(y,x)) \ ((1 / y) \ (x * K(y,x))) = a(y \ 1,y,x * K(y,x)) * T(y,x).
a(x \ 1,x,y * K(x,y)) * T(x,y) = (y * K(x,y)) \ ((1 / x) \ (y * K(x,y))).
L(T(x,y) \ 1,T(x,y),T(y,x)) = (x * y) \ y.
T(x,x \ (y \ x)) = T(x,y \ 1).
T(x,R(1 / y,y,y \ x)) = T(x,x \ (y \ x)).
(x / y) * T(y,y \ x) = y * (x / y).
(x / y) * (y * K(x,y)) = T(x,y * K(x,y)).
(x * K(y / T(x,y),x)) \ T(y,x) = y / T(x,y).
T(x,y * K(x,y)) \ (y * K(x,y)) = x \ y.
(x / y) / (y \ (y \ x)) = T(y,x / y).
T(T(x,y),y) * T(y,x) = T(x,y) * y.
T(x,y * K(x,y)) = T(x,y).
T(x,y) = T(x,y * K(x,y)).
T(T(x,y),z) / K(T(x,T(z,T(x,y))),y) = T(x,T(z,T(x,y))).
(T(x,y) * T(y,x)) \ (y * x) = T(x,T(y,x)) \ x.
T(x * y,(x * y) \ T(x,y)) = T(x * y,R(1 / y,y,x)).
T(x,x \ (y * T(x,z))) = T(x,(y / x) * T(x,z)).
T(x,y) * K(T(y,x) \ x,y) = (T(y,x) \ x) * y.
((T(x,y) \ y) * x) \ T(y,x) = K(x,T(x,y) \ y).
(T(x,y) \ y) \ T(y,x) = T(x,T(x,y) \ y).
T(x,(y \ x) \ T(x,y)) = T(x,(y \ x) \ x).
T(x,(y \ x) \ x) = T(x,(y \ x) \ T(x,y)).
x * (T(x,y) \ y) = T(y,x).
T((x * y) / x,T(z,y)) = (x * T(y,z)) / x.
(x * T(y,z)) / x = T((x * y) / x,T(z,y)).
T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y).
T(x,y / x) = T(x,x \ y).
T(x,x \ y) = T(x,y / x).
T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)).
L(T(x,T(y,L(x,z,u))),z,u) = T(L(x,z,u),y).
T(T(x,y),T(z,x)) = T(T(x,z),y).
T(T(x,y),z) = T(T(x,z),T(y,x)).
T(x,T(y,x)) = T(x,y).
T(x,y) = T(x,T(y,x)).
T(x / T(y,x),y) = y \ T(x,y).
K(x * y,(x * y) \ T(x,y)) = K(x * y,T(y,x) \ 1).
(x / T(y,x)) * y = T(x,y).
T(x,y) = (x / T(y,x)) * y.
(x * T(y,x / y)) / T(y,y * (x / y)) = T(y * (x / y),y).
(x * (y / x)) / (x \ y) = T(x,y / x).
(T(x,y) * (T(y,x) / x)) / T(x,y) = (x * (y / T(x,y))) / x.
(x * (y / T(x,y))) / x = (T(x,y) * (T(y,x) / x)) / T(x,y).
T(x,y) \ y = x \ T(y,x).
x / (y \ T(x,y)) = T(y,x).
(T(x,y) * (T(y,x) / x)) \ y = K(T(y,x) / x,T(x,y)).
K(T(x,y) / y,T(y,x)) = (T(y,x) * (T(x,y) / y)) \ x.
(T(x,y) / y) \ x = T(y,x).
T(x,y) / y = x / T(y,x).
x / T(y,x) = T(x,y) / y.
a(x,y,(z * u) \ T(z,u)) = a(x,y,T(u,z) \ 1).
((x * y) * T(T(y,x),z)) / T(y,x) = T(x,y) * T(T(y,x),z).
T(x,y) \ ((x * y) * (T(y,x) \ 1)) = a(T(x,y),T(y,x),T(y,x) \ 1).
L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z).
((x * T(y,z)) * T(z,y)) / (y * z) = R(x,T(y,z),T(z,y)).
R(x,T(y,z),T(z,y)) = ((x * T(y,z)) * T(z,y)) / (y * z).
(x * T(y,z)) \ (x * (y * z)) = L(T(z,y),T(y,z),x).
L(T(x,y),T(y,x),z) = (z * T(y,x)) \ (z * (y * x)).
(x * y) / T(y,x) = T(x,y).
T(x,y) * (x \ T(y,x)) = y.
(T(x,y) / y) * T(y,x) = x.
x = (T(x,y) / y) * T(y,x).
T(x,y) * T(y,x) = x * y.
x * y = T(x,y) * T(y,x).
(T(x,y) * T(y,x)) / y = x.
T(x * (y / x),z) = x * (T(y,z) / x).
x * (T(y,z) / x) = T(x * (y / x),z).
T(T(x,y * x) * y,x) / y = x.
x * y != T(x * T(z,x * z),z) | y = z.
(T(x,y) \ T(x,z)) * T(x,y) = T(x,z).
T(x,y) = (T(x,z) \ T(x,y)) * T(x,z).
T((x \ R(y,z,u)) * x,w) = (x \ R(T(y,w),z,u)) * x.
T((x \ y) * x,z) != u * x | x \ T(y,z) = u.
R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) / R(x,y,z).
T(x,y) / R(x,z,u) = R(x,z,u) \ T(R(x,z,u) * (R(x,z,u) \ x),y).
x \ (y \ T(y * x,x)) = K(x * y,x).
T(x * y,L(x,z,u)) / (a(u,z,x) * y) = L(y \ T(y * x,x),z,u).
T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z).
x \ T(x * (y / x),z) = T(y,z) / x.
T(x,y) / z = z \ T(z * (x / z),y).
x * (T(y * x,z) / x) = T(x * y,z).
(((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1).
(x * T(x \ y,z)) * (1 / x) = T(y * (1 / x),z).
T((x \ y) * x,z) = (x \ T(y,z)) * x.
(x \ T(y,z)) * x = T((x \ y) * x,z).
T(x * y,z) / y = y \ T(y * x,z).
(x \ T(x * y,z)) * x = T(y * x,z).
T(x * y,z) = (y \ T(y * x,z)) * y.
a(x,y,z) * K(a(x,y,z) \ 1,u * z) = a(x,y,z * K(u,z)).
a(x \ 1,x,y) * (T(x,y) * y) = (1 / T(x,y)) \ y.
a(T(x,y) \ 1,T(x,y),y) = a(x \ 1,x,y).
a(T(x,y) \ 1,T(x,y),y) = T(a(x \ 1,x,y),y).
T(a(x \ 1,x,y),y) = a(T(x,y) \ 1,T(x,y),y).
T(x * R(x \ 1,x,y),y) = a(T(x,y) \ 1,T(x,y),y).
a(T(x,y) \ 1,T(x,y),y) = T(x * R(x \ 1,x,y),y).
T(x,y) * R(T(x,y) \ 1,x,y) = a(T(x,y) \ 1,T(x,y),y).
a(T(x,y) \ 1,T(x,y),y) = T(x,y) * R(T(x,y) \ 1,x,y).
T(x,y) * ((x \ T(x,y)) \ 1) = (K(y \ (y / (x \ 1)),y) \ 1) * T(x,y).
(K(x \ (x / (y \ 1)),x) \ 1) * T(y,x) = T(y,x) * ((y \ T(y,x)) \ 1).
((x \ T(x,y)) \ 1) * T(x,y) = T(x,y) * ((x \ T(x,y)) \ 1).
K(x \ 1,y) * ((x \ 1) \ (x \ y)) = (x \ y) / (x \ 1).
((x / y) * T(y,z)) * R(y,u,w) = x * (R(y,u,w) * (y \ T(y,z))).
x / (a(y,z,u * K(y * z,u)) * w) = (x / w) * (R(y,z,u) \ y).
K(x * y,x \ 1) * y = ((x \ 1) \ y) * (x \ 1).
x * y != T(x * z,x \ 1) | y = ((x \ 1) \ z) * (x \ 1).
x * (K(x * y,x \ 1) * y) = T(x * y,x \ 1).
T(x * y,x \ 1) = x * (K(x * y,x \ 1) * y).
K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z).
x * (K(y,x \ 1) * z) = K(y,x \ 1) * (x * z).
x * ((y \ T(y,x \ 1)) * z) = K(y,x \ 1) * (x * z).
K(x,y \ 1) * (y * z) = y * ((x \ T(x,y \ 1)) * z).
(x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z).
x * ((y \ T(y,x \ 1)) * z) = (y \ T(y,x \ 1)) * (x * z).
x / (y \ (x * K(y,x))) = (y / (x * K(y,x))) * x.
(x / (y * K(x,y))) * y = y / (x \ (y * K(x,y))).
(x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y.
(x / (y * K(z,y))) * y = (x * y) / (y * K(z,y)).
(x * K(y,x)) \ (x * z) = x * ((x * K(y,x)) \ z).
x * ((x * K(y,x)) \ z) = (x * K(y,x)) \ (x * z).
(x * (y \ R(y,z,x))) / (y \ x) = R(y,z,x).
T(((x * (y / z)) \ (x * y)) \ R((x * (y / z)) \ (x * y),u,w),w) = ((x * (y / z)) \ (x * y)) \ L(R(z,u,w),y / z,x).
K(x \ R(x,y,z),z) = 1.
R(x,y,z) \ (z * (x \ R(x,y,z))) = x \ z.
R(1 / (x \ R(x,y,z)),x \ R(x,y,z),z) = z / (z * (x \ R(x,y,z))).
x / (x * (y \ R(y,z,x))) = R(1 / (y \ R(y,z,x)),y \ R(y,z,x),x).
(x * (y \ R(y,z,x))) * L(u,x,y \ R(y,z,x)) = (y \ R(y,z,x)) * (T(x,y \ R(y,z,x)) * u).
T(x \ R(x,y,z),z) = x \ R(x,y,z).
L(x,y,z \ R(z,u,y)) = x.
T(x,y \ R(y,z,x)) = x.
a(x * K(y * z,x),y,z) = x \ R(x,y,z).
(x \ 1) \ L(T(x \ 1,y),z,u) != w * L(T(x \ 1,y),z,u) | w = x.
x * L(T(y \ 1,z),u,w) != (y \ 1) \ L(T(y \ 1,z),u,w) | x = y.
(x \ 1) \ L(T(x \ 1,y),z,u) = x * L(T(x \ 1,y),z,u).
x * L(T(x \ 1,y),z,u) = (x \ 1) \ L(T(x \ 1,y),z,u).
T(x \ y,z) * K(x,x \ y) = (y / x) * K(x \ y,z).
(x / y) * K(y \ x,z) = T(y \ x,z) * K(y,y \ x).
T(x * (K(y \ 1,y) * T(y,y \ 1)),z) = (y \ T(y * x,z)) * y.
((x \ 1) \ (x \ y)) / x = x \ ((x \ 1) \ (y / x)).
((x \ 1) \ T(y,x)) / x = x \ ((x \ 1) \ y).
((x \ 1) \ y) \ ((x \ 1) \ T(y,z)) = K((((x \ 1) \ y) \ x) \ 1,z).
(x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x).
(x \ 1) \ T(y,x) = (x \ ((x \ 1) \ y)) * x.
x * T(x \ ((x \ 1) \ y),z) = (x \ 1) \ T(y,z).
(x \ 1) \ T(y,z) = x * T(x \ ((x \ 1) \ y),z).
(x \ 1) \ T((x \ 1) * y,z) = x * T(x \ y,z).
(x \ 1) * (x * T(x \ y,z)) = T((x \ 1) * y,z).
T((x \ 1) * y,z) = (x \ 1) * (x * T(x \ y,z)).
((x / a(y,z,u)) / x) * a(y,z,u) = K(x,a(y,z,u) \ 1).
((x * (T(y,z) \ y)) / y) * T(y,z) = R(x,T(y,z) \ y,T(y,z)).
R(x,T(y,z) \ y,T(y,z)) = ((x * (T(y,z) \ y)) / y) * T(y,z).
x \ T(x,a(y,z,u) \ x) = ((x / a(y,z,u)) / x) * a(y,z,u).
L(x / y,(x / y) \ 1,z) = L(x / y,y / x,z).
R(x,y / (z * y),a(z \ 1,z,y) \ z) = R(x,z \ 1,z).
R(x,y / (z * y),(y / (z * y)) \ 1) = R(x,z \ 1,z).
x / (a(y,z / x,x / z) * z) = L(x / z,(x / z) \ 1,y).
R(x,y / (z * y),(y / (z * y)) \ 1) = x * a(x,z \ 1,z).
a(x,(y / z) \ 1,y / z) = a(x,z / y,y / z).
a(x,y / z,z / y) = a(x,(z / y) \ 1,z / y).
a(x,y / (z * y),z) = a(x,z \ 1,z).
a(x,R(1 / y,y,z),y) = a(x,y \ 1,y).
a(x,y \ 1,y) = a(x,R(1 / y,y,z),y).
a(x,R(1 / y,z,u),R(1 / y,z,u) \ 1) = a(x,y \ 1,y).
a(x,R(y / z,u,w),R(y / z,u,w) \ y) = a(x,y / z,z).
a(x,R(y,z,u),R(y,z,u) \ w) = a(x,y,y \ w).
L(x * R(x \ 1,y,z),x \ 1,u) = x * R(x \ 1,y,z).
x \ (T(y,x) * (y \ x)) = K(T(y,y \ x),x).
(x * (x \ y)) \ (T(x,y) * (x \ y)) = K(T(x,x \ y),y).
K(T(x,x \ y),y) = (x * (x \ y)) \ (T(x,y) * (x \ y)).
R(x,y,z) \ (u * (x \ R(x,y,z))) = x \ T(u,x \ R(x,y,z)).
x \ T(y,x \ R(x,z,u)) = R(x,z,u) \ (y * (x \ R(x,z,u))).
R(x,y,z) \ R(R(x,y,z),x \ 1,u) = a(x,x \ 1,u).
R(x,y,z) * a(x,x \ 1,u) = R(R(x,y,z),x \ 1,u).
R(R(x,y,z),x \ 1,u) = R(x,y,z) * a(x,x \ 1,u).
(x * R(y,x,y)) \ T(x * y,(x * y) / x) = K(x,T(x * y,y) / T(x,y)).
x * (T(x * y,y) / T(x,y)) = T(x * y,(x * y) / x).
T(x * y,(x * y) / x) = x * (T(x * y,y) / T(x,y)).
T(x * y,(x * y) / x) = x * (y * K(x * y,y)).
T(x * y,y * K(x,y)) = x * (y * K(x * y,y)).
T((x * K(y,x)) * y,x * K(y,x)) = y * (x * K(y * x,x)).
L(x \ K(y / (1 / x),x \ 1),x,x \ 1) = y / (y / (1 / x)).
R(x,y,z) * (K(x,x \ 1) * u) != w * u | R((x \ 1) \ 1,y,z) = w.
K(x \ y,y \ x) * z != (1 / (y / x)) * u | ((y / x) \ 1) * u = z.
(1 / (x / y)) * z != K(y \ x,x \ y) * u | ((x / y) \ 1) * z = u.
((1 / (1 / x)) * y) \ y = (x * ((x * y) \ y)) / x.
(x * T(1 / (1 / y),x)) \ x = (y * ((y * x) \ x)) / y.
(x * (1 / (1 / T(y,x)))) \ x = (y * ((y * x) \ x)) / y.
(T(x,y) \ L(x,z,u)) \ (T(x,y) \ x) = a(u,z,x).
K((x \ 1) * y,((x \ 1) * y) \ y) = T(K((x \ 1) * y,x),y).
T(K((x \ 1) * y,x),y) = K((x \ 1) * y,((x \ 1) * y) \ y).
K(x,y \ 1) * z != z * u | K(x,T(y,z) \ 1) = u.
x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x.
K(x,T(1 / y,z) \ 1) = T(K(x,y),z).
T(K(x * y,x \ 1),y) = K(x * y,(x * y) \ y).
K(x,T(y,z) \ 1) = T(K(x,y \ 1),z).
K(x,(y \ (z * y)) \ 1) = T(K(x,z \ 1),y).
T(K(x,y \ 1),z) = K(x,(z \ (y * z)) \ 1).
T(K(x,(y / z) \ 1),z) = K(x,(z \ y) \ 1).
K(x,((y * z) / y) \ 1) = (y * K(x,z \ 1)) / y.
(x * K(y,z \ 1)) / x = K(y,((x * z) / x) \ 1).
(x * K(y,(x \ z) \ 1)) / x = K(y,(z / x) \ 1).
(x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1).
T(x,x \ y) \ R(T(x,x \ y),z,u) = T(x \ R(x,z,u),y).
T(x \ R(x,y,z),u) = T(x,x \ u) \ R(T(x,x \ u),y,z).
T(x \ R(x,y,z),x * u) = T(x,u) \ R(T(x,u),y,z).
a(R(x,y,z),y,z) = T(x,y) \ R(T(x,y),y,z).
T(x,y) \ R(T(x,y),z,u) = (x * y) \ (R(x,z,u) * y).
(x * y) \ (R(x,z,u) * y) = T(x,y) \ R(T(x,y),z,u).
R((x \ 1) \ 1,y,z) * (R(x,y,z) \ u) = K(x,x \ 1) * u.
K(x,x \ 1) * y = R((x \ 1) \ 1,z,u) * (R(x,z,u) \ y).
R(x,y,z) * (K(x,x \ 1) * u) = R((x \ 1) \ 1,y,z) * u.
((x \ (y \ 1)) * (y * x)) \ a(y,x,x \ (y \ 1)) = K(y * x,(y * x) \ 1).
a(x,y,z) * K(u * L(z,y,x),a(x,y,z)) = a(x,y,z * K(u,z)).
a(x,y,z * K(u,z)) = a(x,y,z) * K(u * L(z,y,x),a(x,y,z)).
a(x,y,z * K(x,z)) = a(x,y,z).
a(x,y,z) = a(x,y,z * K(x,z)).
(x * y) / (x * L(y,z,u)) = a(u,z,y * K(x,y)).
K(((x * y) / x) \ 1,y) = K(y \ 1,y).
K((x * K(y,x)) \ 1,x) = K(x \ 1,x).
K((x * K(y,x)) \ 1,x * K(y,x)) = K(x \ 1,x).
(x * y) / (y * K(x,y)) = y / (x \ (y * K(x,y))).
L(x,y,(y * x) / y) = ((x * (y * x)) / x) / y.
((x * (y * x)) / x) / y = L(x,y,(y * x) / y).
L(x,y,(y * x) / y) \ ((x * (y * x)) / x) = y.
T((x * y) / x,x * y) \ ((y * (x * y)) / y) = x.
a(x,y,z) * (u * K(a(x,y,z),u)) = T(a(x,y,z) * u,u).
T(a(x,y,z) * u,u) = a(x,y,z) * (u * K(a(x,y,z),u)).
K(x,((y * x) / y) \ 1) = K(x,x \ 1).
K(x,((y * x) / y) \ 1) = K(x,(y * x) \ y).
K(x,(y * x) \ y) = K(x,((y * x) / y) \ 1).
K(x \ (x * y),(x * y) \ x) = K(y,((x * y) / x) \ 1).
K(x \ y,y \ x) * (((y / x) \ 1) * z) = (1 / (y / x)) * z.
K(x / y,(x / y) \ 1) = K(y \ x,x \ y).
K(x \ y,y \ x) = K(y / x,(y / x) \ 1).
K(x / y,y / x) = K(y \ x,x \ y).
K(x \ y,y \ x) = K(y / x,x / y).
K((x / y) \ 1,x / y) = K(x \ y,y \ x).
K((x \ y) \ 1,y / x) = K(y \ x,x \ y).
K(x \ y,y \ x) = K((y \ x) \ 1,x / y).
K((x \ y) \ 1,y / x) = K(y \ x,x \ y) * 1.
K(x \ y,y \ x) * 1 = K((y \ x) \ 1,x / y).
K(T(x,y),T(x,z) \ 1) = K(x,x \ 1).
K(T(x,y),T(x,z) \ 1) = K(T(x,y),x \ 1).
K((x \ y) \ 1,x \ y) * 1 = K((x \ y) \ 1,y / x).
K((x \ y) \ 1,y / x) = K((x \ y) \ 1,x \ y) * 1.
a(R(x / y,y,K(z,y)),y,K(z,y)) = (x * K(z,y)) \ (R(x,K(z,y),y) * K(z,y)).
R(x / y,y,K(z,y)) * y = R(x,K(z,y),y).
((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z).
((x * K(y,z)) / ((y * z) / y)) * z = R(x,K(y,z),z).
R(x,K(y,z),z) = ((x * K(y,z)) / ((y * z) / y)) * z.
(x \ (K(y,x) * (x * z))) / (K(y,x) * L(z,x,K(y,x))) = x \ R(x,K(y,x),L(z,x,K(y,x))).
K(x,y) * (y * T(z,y * K(x,y))) = L(z,y,K(x,y)) * (y * K(x,y)).
R(x / K(y,z),K(y,z),z) = (x / ((y * z) / y)) * z.
(x * (1 / (1 / T(y,x)))) \ x = (y * x) \ (K(y,y \ 1) * x).
(x * y) \ (K(x,x \ 1) * y) = (y * (1 / (1 / T(x,y)))) \ y.
x * K(T(y,z),T(y,z) \ 1) = K(y,y \ 1) * x.
K(T(x,y),T(x,z) \ 1) = T(x,y) \ T(T(x,x \ 1),y).
T(x,y) \ T(T(x,x \ 1),y) = K(T(x,y),T(x,z) \ 1).
(T(x,y) \ 1) * T(T(x,x \ 1),z) = T(x,y) \ T(x,z).
(T(x,y) \ L(x,z,u)) \ (T(x,y) \ x) = a(u,z,T(x,x \ 1)).
(T(x,y) \ 1) \ (T(x,y) \ x) = T(x,x \ 1).
T(x,T(x,y) \ 1) = T(x,x \ 1).
T(x,x \ 1) = T(x,T(x,y) \ 1).
x * K(y,T(y,z) \ 1) = K(y,y \ 1) * x.
K(x,x \ 1) * y = y * K(x,T(x,z) \ 1).
T(x,T(x,y) \ 1) = x * K(x,x \ 1).
x * K(x,x \ 1) = T(x,T(x,y) \ 1).
a(T(x,y),T(x,y) \ 1,x) = K(x,x \ 1).
K(T(x,y),T(x,y) \ 1) = K(x,T(x,y) \ 1).
K(x,T(x,y) \ 1) = K(x,x \ 1).
K(x,x \ 1) = K(x,T(x,y) \ 1).
(1 / T(x,y)) \ R(1 / T(x,y),x,y) = a(T(x,y) \ 1,T(x,y),y).
a(x,y,K(T(z,u),u)) = a(x,y,K(z,u)).
(x * y) * a(x,T(y,z),K(z,y)) = (x * T(y,z)) * (T(y,z) \ y).
(T(x,y) \ x) * L(T(x,y),z,u) = a(u,z,T(x,y)) \ x.
((x \ T(x,y)) * (T(x,y) \ x)) \ x = ((x \ T(x,y)) \ 1) * T(x,y).
(T(T(x,y),z) \ T(x,y)) * T(T(x,z),y) = T(x,y).
((x * (T(y,z) \ y)) * T(y,z)) / y = R(x,T(y,z) \ y,T(y,z)).
R(x,T(y,z) \ y,T(y,z)) = ((x * (T(y,z) \ y)) * T(y,z)) / y.
a(x,y,T(z,u) \ z) = a(x,y,K(u,z)).
R(T(x,y) \ x,T(x,y),z) = (x * z) / (T(x,y) * z).
(T(x,y) \ x) \ x = T(x,y).
R(x,y,z) / R(T(x,u),y,z) = T(R(x,y,z),u) \ R(x,y,z).
T(x,y) / T(T(x,z),y) = T(T(x,y),z) \ T(x,y).
(T(x,y) \ x) * T(x,y) = x.
x / T(x,y) = T(x,y) \ x.
T(x,y) \ x = x / T(x,y).
(T(x,y) \ 1) * K(x,T(x,y) \ 1) = 1 / T(x,y).
((T(x,y) \ x) / x) \ 1 = T(x,y).
(1 / T(x,y)) \ (T(x,y) \ x) = x.
((T(x,y) \ x) / x) * T(x,y) = 1.
(1 / T(x,y)) * x = T(x,y) \ x.
T(x,T(y,x)) / (y * x) = R(1 / T(y,x),y,x).
R(1 / T(x,y),x,y) = T(y,T(x,y)) / (x * y).
(T(x,y) \ x) / x = 1 / T(x,y).
1 / T(x,y) = (T(x,y) \ x) / x.
K(x \ 1,x * K(y,x)) = K(x \ 1,x).
K(x \ 1,(y * x) / y) = K(x \ 1,x).
K(x \ 1,(y * x) / y) = x \ (1 / (1 / x)).
K(x,y) * ((z * y) / z) = (y * K(z,y)) * K(x,y).
K(x \ 1,(y * x) / y) = x \ (K(x \ 1,x) * x).
K(x \ y,(x \ y) \ 1) \ 1 = K((x \ y) \ 1,y / x).
x * T(y / x,T(x,y)) = L(y,K(x,y),x).
((x \ 1) \ T(x \ 1,y)) * ((x \ 1) \ (x \ y)) = (x \ y) / (x \ 1).
(x \ ((x \ y) \ y)) * (x \ y) = y / x.
K((T(x,y) \ (T(x,y) / z)) \ 1,x) * T(x,y) = (T(x,y) / z) * T(z,x).
(T(x,y) / z) * T(z,x) = K((T(x,y) \ (T(x,y) / z)) \ 1,x) * T(x,y).
x \ (K(y,x) * T(x,z)) = T(x,z) * (x \ K(y,x)).
(x / y) / (y \ x) = y \ ((y \ x) \ x).
x \ ((x \ y) \ y) = (y / x) / (x \ y).
a(x,y,z) * (u * K(a(x,y,z),u)) = T(a(x,y,z),u) * u.
(x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z).
T(x,y) / K(T(x,K(z,T(x,y))),y) = T(x,K(z,T(x,y))).
(x * K(y,x)) * K(((x * K(y,x)) \ K(y,x)) \ 1,z) = K(y,x) * T(x,z).
K(x,y) * ((z * y) / z) = ((z * y) / z) * K(x,y).
T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z).
K(x,y) * T(T(y,z),u) = T(T(y,z),u) * K(x,y).
R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z).
K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y).
T(x,y) * K(z,x) = K(z,x) * T(x,y).
K(x,y) * T(y,z) = T(y,z) * K(x,y).
T(x,K(y,x)) = x.
K(K(x,y),y) = 1.
L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)).
(x * K(y,x)) * a(z,u,x) = K(y,x) * (x * a(z,u,x)).
K(x,y) * (y * a(z,u,y)) = (y * K(x,y)) * a(z,u,y).
(x * K(y,x)) / L(x,z,u) = K(y,x) * a(u,z,x).
K(x,y) * a(z,u,y) = (y * K(x,y)) / L(y,u,z).
T(K(x,y),y) = K(x,y).
K(x,x \ y) \ (y / x) = x \ y.
x * (T(x,y) \ ((x * y) / x)) = L(y,K(x,y),x).
((x \ R(x,y,z)) \ u) / (R(x,y,z) \ x) = K(R(x,y,z) \ x,u) * u.
K(x,y) * y = y * K(x,y).
(x * ((y * z) / y)) * a(x,K(y,z),z) = (x * K(y,z)) * z.
R(x / K(y,z),K(y,z),z) = (x * z) / ((y * z) / y).
((x * y) / x) * L(z,y,K(x,y)) = K(x,y) * (y * z).
(x * K(y,x)) / x = K(y,x).
K(x,y) = (y * K(x,y)) / y.
(x * y) / (y * x) = R(K(x,y),y,x).
R(K(x,y),y,x) = (x * y) / (y * x).
R(K(x,y) / z,z,y) = ((x * y) / x) / (z * y).
K(x,y) \ ((x * y) / x) = y.
(x * y) / x = K(x,y) * y.
K(x,y) * y = (x * y) / x.
(x / y) / (y \ x) = K(y,y \ x).
K(x,x \ y) = (y / x) / (x \ y).
K(x,y) = ((x * y) / x) / y.
x \ T(x,a(y,z,u) \ x) = (x / a(y,z,u)) / (a(y,z,u) \ x).
(x / a(y,z,u)) / (a(y,z,u) \ x) = x \ T(x,a(y,z,u) \ x).
((x * y) / x) / y = x \ T(x,y).
x \ T(x,y) = ((x * y) / x) / y.
(1 / x) * ((y * x) / y) = y \ T(y,x).
(x \ T(x,y)) / ((x * y) / x) = 1 / y.
a(x,y,(z * u) / z) \ ((1 / u) \ w) = (K(z,u) / L((z * u) / z,y,x)) \ w.
K(x,y) / L((x * y) / x,z,u) = (1 / y) * a(u,z,(x * y) / x).
(1 / x) * a(y,z,(u * x) / u) = K(u,x) / L((u * x) / u,z,y).
K(x,y) / ((x * y) / x) = 1 / y.
(1 / x) \ K(y,x) = x * K(y,x).
K(x,y) / (y * K(x,y)) = 1 / y.
1 / x = K(y,x) / (x * K(y,x)).
R(1 / T(x,y),T(x,y),T(x,y) \ x) = 1 / T(x,y).
R(1 / x,x,K(y,x)) = 1 / x.
R(1 / x,x,y \ T(y,x)) = 1 / x.
R(1 / x,x,y \ T(y,x)) = x \ K(x,x \ 1).
x \ K(x,x \ 1) = R(1 / x,x,y \ T(y,x)).
L(x,((y * z) / y) / x,K(z,z \ 1)) = (K((y * z) / y,z \ 1) * (((y * z) / y) / x)) \ T((y * z) / y,z \ 1).
K(x \ 1,(y * x) / y) = x \ (K(x,x \ 1) \ x).
x \ (K(x,x \ 1) \ x) = K(x \ 1,(y * x) / y).
a(x,x \ 1,(y * x) / y) = K(x,x \ 1).
K(x / y,(y \ x) \ 1) = K(y \ x,(y \ x) \ 1).
K((x * y) / x,y \ 1) = K(y,y \ 1).
K(x,x \ 1) = K((y * x) / y,x \ 1).
K(x,x \ 1) * ((y * x) / y) = T((y * x) / y,x \ 1).
K(x,y) * (x * a(x,z,u)) = a(x,z,u) * T(x,y).
K(x,y) * R(x,z,T(u,x * z)) = a(x,z,u) * T(x,y).
K(x,a(y * z,z \ 1,z)) = K(x,a(y,z,z \ 1)).
(T(x,y) * K(z,T(x,z))) / (T(x,z) \ T(x,y)) = x.
(T(x,y) * K(z,T(x,z))) / (T(x,y) * (T(x,z) \ 1)) = x.
L(1 / x,y,z) \ K(x,u) = a(z,y,x \ 1) * T(x,u).
L(x / (y \ 1),y \ 1,y) = x / (x / (y * x)).
x / (x / (y * x)) = L(x / (y \ 1),y \ 1,y).
x / (x / (y * x)) = (y * x) * K(y \ 1,y * x).
(x * y) * K(x \ 1,x * y) = y / (y / (x * y)).
T(L(x,y,z) \ R(L(x,y,z),u,x),x * (L(x,y,z) * T(u,x))) = a(L(x,y,z),u,x).
a(L(x,y,z),u,x) = T(L(x,y,z) \ R(L(x,y,z),u,x),x * (L(x,y,z) * T(u,x))).
T(x \ R(x,y,R(y \ 1,z,u)),x * ((1 / y) \ R(1 / y,z,u))) = a(x,y,R(y \ 1,z,u)).
a(x,y,R(y \ 1,z,u)) = T(x \ R(x,y,R(y \ 1,z,u)),x * ((1 / y) \ R(1 / y,z,u))).
a(x,y,z) = T(x \ R(x,y,z),x * (y * z)).
T(x \ R(x,y,z),x * (y * z)) = a(x,y,z).
(x * y) * R(1 / x,x,y) = K(x * y,x \ 1) * y.
(x * y) * K(1 / x,x * y) = L(y / (x \ 1),x \ 1,x).
(x * y) * K(R(x \ 1,x,y),x * y) = y / (y / (x * y)).
x / T(x,a(y,z,u) \ 1) = K(a(y,z,u) \ 1,x).
K(a(x,y,z) \ 1,u) = u / T(u,a(x,y,z) \ 1).
L(x,x \ 1,y) * (y * (1 / x)) != y * z | K(x,y * (x \ 1)) = z.
a(x * y,K(y,z),y) = a(x,y,K(y,z)).
a(x,y,K(y,z)) = a(x * y,K(y,z),y).
a(x / y,y,K(y,z)) = a(x,K(y,z),y).
L(x,y,R(z * K(y,z),y,x)) = z * (R(z,y,x) \ x).
L(x,y,R((y * z) / y,y,x)) = z * (R(z,y,x) \ x).
a(x,R(y,z,u),R(y,z,u) \ w) = (y * ((x * y) \ (x * w))) \ w.
(x * ((y * x) \ (y * z))) \ z = a(y,R(x,u,w),R(x,u,w) \ z).
(x * R(y,z,u)) \ ((x * y) * w) = y * (R(y,z,u) \ w).
x * (R(x,y,z) \ u) = (w * R(x,y,z)) \ ((w * x) * u).
x * (R(T(y,x),z,u) \ T(y,x)) = (y * x) / R(T(y,x),z,u).
x / (R(y,z,u) \ y) = x * (y \ R(y,z,u)).
x / (y \ R(y,z,u)) = x * (y / R(y,z,u)).
(x / R(y,z,u)) * y = x * (R(y,z,u) \ y).
x * (R(y,z,u) \ y) = (x / R(y,z,u)) * y.
((x \ R(x,y,z)) * u) * (R(x,y,z) \ x) = u * K(x \ R(x,y,z),u).
(x * (y \ R(y,z,u))) * (R(y,z,u) \ y) = x.
x * R(y,z,u) != (w * y) * (y \ R(y,z,u)) | x = w.
x / (y \ R(y,z,u)) = x * (R(y,z,u) \ y).
R(x,y,z) * (x \ ((u * R(x,y,z)) \ w)) = (u * x) \ w.
(x * y) \ z = R(y,u,w) * (y \ ((x * R(y,u,w)) \ z)).
x * (R(x,y,z) \ ((u * x) \ w)) = (u * R(x,y,z)) \ w.
(x * R(y,z,u)) \ w = y * (R(y,z,u) \ ((x * y) \ w)).
(x \ T(y \ L(y,z,u),x \ 1)) / (x \ (a(u,z,y) \ 1)) = K(y \ L(y,z,u),x \ 1).
(x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1).
(x * ((y * (x \ z)) / y)) / ((x / z) \ x) = K(y,(x / z) \ 1).
(x * ((y \ x) / x)) / (y \ x) = K(x,y \ 1).
T(x,y) \ R(T(x,y),y,y) = x \ R(x,y,y).
x \ R(x,y,y) = T(x,y) \ R(T(x,y),y,y).
R(T(x,y),y,y) / T(x,y) = x \ R(x,y,y).
R(x,y,y) * K(x,y) = R(T(x,y),y,y).
(x * (R(y,z,u) \ y)) * w = x * ((y \ R(y,z,u)) \ w).
(x * (R(y,z,u) \ y)) * w = x * (y * (R(y,z,u) \ w)).
(x \ R(x,y,z)) * ((u * R(x,y,z)) \ w) = (u * x) \ w.
(x * (y \ R(y,z,u))) \ w = y * (R(y,z,u) \ (x \ w)).
(x * (y \ R(y,z,u))) * w = x * (R(y,z,u) * (y \ w)).
(x * ((y * (x \ (z \ x))) / y)) / (z \ x) = K(y,z \ 1).
x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y).
(1 / (1 / x)) * K(y,x) = K(y,x) / (1 / x).
T(K(x,y),L(x,z,u)) = K(x,y).
a(x,y,T(z,T(u,z)) \ z) = a(x,y,K(u,z)).
a(x,y,T(z,T(u,z)) \ z) = a(x,y,u \ T(u,z)).
T(K(x,y),x * z) = K((((x \ 1) \ z) \ z) \ 1,y).
K((((x \ 1) \ y) \ y) \ 1,z) = T(K(x,z),x * y).
T((1 / (1 / x)) \ 1,y * (1 / (1 / x))) = (((1 / (1 / x)) \ 1) \ T(y,x)) \ T(y,x).
((x \ 1) \ T(y,x)) \ T(y,x) = T(x \ 1,y * x).
T(x \ 1,y * x) = ((x \ 1) \ T(y,x)) \ T(y,x).
T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ y.
T(x \ 1,x * y) = ((x \ 1) \ y) \ y.
((x \ 1) \ y) \ y = T(x \ 1,x * y).
x * y != K(x \ 1,z) | y = T(x \ 1,z).
x * (((x \ 1) \ y) \ y) = K(x \ 1,x * y).
K(x \ 1,x * y) = x * (((x \ 1) \ y) \ y).
K(R(x \ 1,x,y),x * y) = K(x \ 1,x * y).
K(R(x \ 1,x,x \ y),y) = K(x \ 1,y).
(x \ y) / ((x \ y) / y) = y * K(x \ 1,y).
K((x \ y) / y,y) = K(x \ 1,y).
K(x \ 1,y) = K((x \ y) / y,y).
K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y).
K(x \ 1,(x \ 1) \ (x \ y)) = K(x \ 1,y).
K(x \ 1,y) = K(x \ 1,(x \ 1) \ (x \ y)).
x / K(a(y \ 1,y,z),(y * (z / (y * z))) \ x) = ((y * (z / (y * z))) \ x) * (y * (z / (y * z))).
K(x * (y / (x * y)),z) = K(a(x \ 1,x,y),z).
K(a(x,x \ 1,x * y),z) = K(a(x \ 1,x,y),z).
K(a(x \ 1,x,y),z) = K(a(x,x \ 1,x * y),z).
K(a(x \ 1,x,x \ y),z) = K(a(x,x \ 1,y),z).
R(x \ R(x,y,z),x,u) = x \ R(x,y,z).
T(R(x * K(y,x),z,u),R(x,z,u) * y) = L(R(x,z,u),y,R(x,z,u)).
T(x,L(y,z,x * K(u,x))) = T(x,y).
(((x * K(y,z)) / ((y * z) / y)) \ (x / z)) * u = (x / z) * (R(x / z,z,K(y,z)) \ u).
((x / y) * y) * a((x * K(z,y)) / ((z * y) / z),y,K(z,y)) = R(x / y,y,K(z,y)) * y.
x * R(x \ y,x,K(x,z)) = R(y,K(x,z),x).
R(x \ y,x,K(x,z)) = x \ R(y,K(x,z),x).
x * a(x / T(y,z),y,K(y,z)) = ((x / T(y,z)) * y) * K(y,z).
R(T(x,L(y,y,R(x,y,y))),y,y) = R(x,y,y) * K(x,y).
x * (T(x,y) \ (K(x,y) * z)) = L(z,K(x,y),x).
((x \ 1) \ 1) * (y \ T(y,x)) = T((y * x) / y,x \ 1).
T((x * y) / x,y \ 1) = ((y \ 1) \ 1) * (x \ T(x,y)).
L(x * R(x \ 1,y,z),x \ 1,u) = (x \ 1) \ R(x \ 1,y,z).
((x / y) \ 1) \ R((x / y) \ 1,z,u) = (x * R(x \ (1 * y),z,u)) / y.
(x * R(x \ (1 * y),z,u)) / y = ((x / y) \ 1) \ R((x / y) \ 1,z,u).
T(x,x \ 1) * K(y,x) = (x \ 1) \ K(y,x).
T((x * y) / x,y \ 1) = ((y \ 1) \ 1) * K(x,y).
K((x * y) / x,x / (x * y)) = K(y,((x * y) / x) \ 1).
K(x,((y * x) / y) \ 1) = K((y * x) / y,y / (y * x)).
K(x \ y,(y / x) \ 1) = K(y / x,x / y).
(1 / ((x * y) / x)) * y = K(y * K(x,y),x).
K(x * K(y,x),y) = x / ((y * x) / y).
(((x * y) / x) \ y) / y = 1 / ((x * y) / x).
x / ((y * x) / y) = ((y * x) / y) \ x.
((x * y) / x) \ y = y / ((x * y) / x).
R(K(x \ (x / ((y / z) \ 1)),x),y / z,z) = (z * T(z \ y,x)) / y.
a(x,y,z / T(z,u)) = a(x,y,K(u,z)).
a(x,y,z / (z * K(z,u))) = a(x,y,K(u,z)).
a(x,y,z) * K(x * (y * z),a(x,y,z)) = x \ R(x,y,z).
L(K(T(x,x \ y),y),T(x,x \ y),x \ y) = K(T(x,x \ y),y).
L(K(x,y),x,y / x) = K(x,y).
L(K(x,y),x,y / x) = y \ (y * K(x,y)).
T(x,y) * L(T(x,y) \ (x * y),z,u) = ((T(x,y) / y) * L(T(y,T(x,y)),z,u)) * y.
((T(x,y) / y) * L(T(y,T(x,y)),z,u)) * y = T(x,y) * L(T(x,y) \ (x * y),z,u).
(T(x,y) / y) * L(T(y,T(x,y)),z,u) = x / a(u,z,T(y,T(x,y))).
(T(x,y) / y) \ x = T(y,T(x,y)).
x / T(y,T(x,y)) = T(x,y) / y.
x / (y * K(y,T(x,y))) = T(x,y) / y.
T(x,y) / y = x / (y * K(y,T(x,y))).
(R(x,y,z) \ x) \ u = R(x,y,z) * (x \ u).
(x \ R(x,y,z)) * (u * (R(x,y,z) \ x)) = T(u,R(x,y,z) \ x).
(R(x,y,z) \ x) \ u = (x \ R(x,y,z)) * u.
(x \ R(x,y,z)) * u = (R(x,y,z) \ x) \ u.
((x * y) * z) / (R(R(x,y,z),u,w) * (y * z)) = R(R(x,y,z),u,w) \ R(x,y,z).
(R(x,y,z) \ x) * (u * (x \ R(x,y,z))) = T(u,x \ R(x,y,z)).
T(x,y \ R(y,z,u)) = (R(y,z,u) \ y) * (x * (y \ R(y,z,u))).
(x \ R(x,y,z)) \ u != w * u | R(x,y,z) \ x = w.
(x \ R(x,y,z)) * ((R(x,y,z) \ x) * u) = u.
(x * (a(R(x,y,z),u \ 1,u) \ 1)) / ((R(x,y,z) / u) / (1 / u)) = R(x,y,z) \ x.
(x * y) / (R(x,z,u) * y) = R(x,z,u) \ x.
(x \ R(x,y,z)) \ u = (R(x,y,z) \ x) * u.
x / ((R(y,z,u) \ y) * x) = y \ R(y,z,u).
(x * (R(x,y,z) \ u)) / (R(x,y,z) \ x) = u * K(R(x,y,z) \ x,u).
(R(T(x,x \ y),z,u) \ ((x \ y) \ y)) * w = ((x \ y) \ y) * (R((x \ y) \ y,z,u) \ w).
(x * (R(x,y,z) \ u)) / u = R(x,y,z) \ x.
(R(x,y,z) \ x) * u = x * (R(x,y,z) \ u).
R(R(x,y,z) \ x,R(x,y,z),x \ u) = u / (R(x,y,z) * (x \ u)).
R(R(x / y,z,u) \ (x / y),R(x / y,z,u),y) = x / (R(x / y,z,u) * y).
(R(x,y,z) \ x) * R(x,y,z) = x.
R(x,y,z) \ (x * u) = (R(x,y,z) \ x) * u.
x / R(x,y,z) = R(x,y,z) \ x.
R(x,y,z) \ x = x / R(x,y,z).
L(x,y,R(y,z,u) \ y) = x.
R(x,R(y,z,u) \ y,w) = x.
R(x,y,z) * (x \ T(R(x,y,z) \ x,u)) = K(R(x,y,z) \ x,u).
(x \ R(x,y,z)) \ 1 = R(x,y,z) \ x.
x * (R(x,y,z) \ (u * (x \ R(x,y,z)))) = T(u,x \ R(x,y,z)).
T(x,y \ R(y,z,u)) = y * (R(y,z,u) \ (x * (y \ R(y,z,u)))).
(x \ R(x,y,z)) \ u = x * (R(x,y,z) \ u).
R(x \ R(x,y,z),x * u,w) = ((R(x,y,z) * u) * w) / ((x * u) * w).
((x * y) * z) / (x * (y * z)) = x \ R(x,y,z).
T(x \ R(x,y,z),x * u) = (x * u) \ (R(x,y,z) * u).
x / (y * (R(y,z,u) \ x)) = y \ R(y,z,u).
(x * K(y,x)) \ R(x * K(y,x),z,u) = (R(x * K(y,x),z,u) * y) / (y * x).
(R(x * K(y,x),z,u) * y) / (y * x) = (x * K(y,x)) \ R(x * K(y,x),z,u).
(R(x,y,z) * K(x,u)) / T(x,u) = x \ R(x,y,z).
(R((x \ y) * x,z,u) * (y \ (y / x))) / (x \ y) = ((x \ y) * x) \ R((x \ y) * x,z,u).
(R((1 / x) \ y,z,u) * (a(x \ 1,x,y) \ 1)) / (x * y) = ((1 / x) \ y) \ R((1 / x) \ y,z,u).
T(x * y,x) / (y * x) = x \ R(x,y,x).
(x \ ((x * y) * z)) / (y * z) = x \ R(x,y,z).
(R(x,y,z) * u) / (x * u) = x \ R(x,y,z).
((x / y) * T(y,z)) * R(y,u,w) = (x * (y \ R(y,u,w))) * T(y,z).
((x / y) * T(y,z)) * R(y,u,w) = (x * T(y,z)) * (y \ R(y,u,w)).
(x * (y \ R(y,z,u))) / (x / y) = R(x / (x / y),z,u).
x * R(y,z,u) != w * (y \ R(y,z,u)) | w / y = x.
x * (y \ R(y,z,u)) != w * R(y,z,u) | x / y = w.
(x \ R(x,y,z)) * T(x,u) = R(x,y,z) * K(x,u).
(R(x,y,z) * (x \ u)) / ((x \ 1) * u) = R(R(x,y,z),x \ 1,u).
(x * y) \ (x * (R(z,u,w) * (z \ y))) = L(T(z \ R(z,u,w),y),y,x).
x \ (R(y,z,u) * (y \ x)) = T(y \ R(y,z,u),x).
T(x \ R(x,y,z),u) = u \ (R(x,y,z) * (x \ u)).
(R(x,y,z) * (x \ u)) / u = x \ R(x,y,z).
x \ ((R(y,z,u) * x) / T(y,x)) = T(y,x) \ R(T(y,x),z,u).
(x \ R(x,y,z)) \ 1 = x / R(x,y,z).
1 / (x / R(x,y,z)) = x \ R(x,y,z).
1 / (x \ R(x,y,z)) = x / R(x,y,z).
(x / y) \ (x * (y \ R(y,z,u))) = R(y,z,u).
((x * (y * z)) * (z \ R(z,u,w))) / (y * R(z,u,w)) = R(x,y * z,z \ R(z,u,w)).
R(x,y * z,z \ R(z,u,w)) = ((x * (y * z)) * (z \ R(z,u,w))) / (y * R(z,u,w)).
(x / y) * R(y,z,u) = x * (y \ R(y,z,u)).
x * (y \ R(y,z,u)) = (x / y) * R(y,z,u).
(x \ R(x,y,z)) * u = R(x,y,z) * (x \ u).
(1 / x) * K(y,x \ 1) = K(y,x \ 1) / x.
T(x,x * y) \ L(x,y,x) = K(y,T(x,x * y)).
(x / R(y,z,u)) \ (x / y) = y \ R(y,z,u).
x \ R(x,y,z) = (u / R(x,y,z)) \ (u / x).
(x * y) \ (y * R(T(x,y),z,u)) = T(x,y) \ R(T(x,y),z,u).
T(x,y) \ R(T(x,y),z,u) = (x * y) \ (y * R(T(x,y),z,u)).
x / (y \ R(y,z,u)) = (x / R(y,z,u)) * y.
(x \ y) \ R(x \ y,z,u) = y \ (x * R(x \ y,z,u)).
(x * y) \ (x * R(y,z,u)) = y \ R(y,z,u).
x \ R(x,y,z) = (u * x) \ (u * R(x,y,z)).
R(x,y,z) \ (R((x \ 1) \ 1,y,z) * u) = K(x,x \ 1) * u.
((x \ R(x,y,z)) * T(x,u)) * ((x \ R(x,y,z)) \ 1) = T(R(x,y,z) * ((x \ R(x,y,z)) \ 1),u).
T(R(x,y,z) * ((x \ R(x,y,z)) \ 1),u) = ((x \ R(x,y,z)) * T(x,u)) * ((x \ R(x,y,z)) \ 1).
(1 / x) * R(x,y,z) = x \ R(x,y,z).
R(R(x,y,z) \ R(R(x,y,z),u,w),R(x,y,z),y * z) = (R(R(x,y,z),u,w) * (y * z)) / ((x * y) * z).
(x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z).
R((x / y) \ R(x / y,z,u),x / y,y) = (R(x / y,z,u) * y) / x.
(x \ R(x,y,z)) * x = R(x,y,z).
(x * (R(y,z,u) \ y)) * w = x * ((R(y,z,u) \ y) * w).
L(x,R(y,z,u) \ y,w) = x.
a(x,R(y,z,u) \ y,w) = 1.
1 = a(x,R(y,z,u) \ y,w).
1 / (1 / (x \ R(x,y,z))) = x \ R(x,y,z).
x \ R(x,y,z) = 1 / (1 / (x \ R(x,y,z))).
L(x \ R(x,y,z),x,u) = x \ R(x,y,z).
(x * (y \ R(y,z,u))) / R(y,z,u) = x / y.
x / y = (x * (y \ R(y,z,u))) / R(y,z,u).
(x * y) * (y \ R(y,z,u)) = x * R(y,z,u).
x * R(y,z,u) = (x * y) * (y \ R(y,z,u)).
(x \ R(x,y,z)) * ((u * (x \ R(x,y,z))) \ w) = u \ w.
x \ y = (z \ R(z,u,w)) * ((x * (z \ R(z,u,w))) \ y).
x \ (R(x,y,z) * u) = (x \ R(x,y,z)) * u.
(x * (y \ R(y,z,u))) \ w = (y \ R(y,z,u)) \ (x \ w).
(x \ R(x,y,z)) \ (u \ w) = (u * (x \ R(x,y,z))) \ w.
(x * (y \ R(y,z,u))) * w = x * ((y \ R(y,z,u)) * w).
L(((x \ R(x,y,z)) * u) \ 1,(x \ R(x,y,z)) * u,(x \ R(x,y,z)) \ 1) = u \ (1 / (x \ R(x,y,z))).
R(x,y,z) / x = x \ R(x,y,z).
(x \ R(x,y,z)) \ R(x,y,z) = x.
x = (x \ R(x,y,z)) \ R(x,y,z).
a(x,y,T(z * K(x * y,z),u)) = x \ R(x,y,T(z,u)).
x / T(y,a(z,u,w * K(z * u,w))) = (x / y) * K(z \ R(z,u,w),y).
(x / y) * K(z \ R(z,u,w),y) = x / T(y,a(z,u,w * K(z * u,w))).
a(x,y,y \ R(y,z,u)) = 1.
R(x,y,y \ R(y,z,u)) = x.
R(x,T(y \ R(y,z,u),w),v5) = x.
L(x,y,(y \ R(y,z,u)) \ 1) = x.
R(x \ R(x,y,z),x,u) = a(x,y,z * K(x * y,z)).
T(x,x \ R(x,y,z)) = x.
a(x,(y \ R(y,z,u)) \ 1,w) = 1.
L(x,(y \ R(y,z,u)) \ 1,w) = x.
R(x,(y \ R(y,z,u)) \ 1,w) = x.
x / (a(y,z,u * K(y * z,u)) * w) = (x / w) / (y \ R(y,z,u)).
(x / y) / (z \ R(z,u,w)) = x / (a(z,u,w * K(z * u,w)) * y).
R(x,y \ R(y,z,u),w) = x.
L(x,y \ R(y,z,u),w) = x.
a(x,y \ R(y,z,u),w) = 1.
(1 / x) * K(y,1 / x) = K(y,x \ 1) / x.
K(x,y \ 1) / y = (1 / y) * K(x,1 / y).
T(x \ K(y,x \ 1),y) = x \ 1.
(x \ K(y,x \ 1)) * y = y * (x \ 1).
K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x).
(x * y) * (a(x \ 1,x,y) / x) = K(x * y,x \ 1) * y.
K(x * y,x \ 1) * y = (x * y) * (a(x \ 1,x,y) / x).
x * K(y,(x \ z) \ 1) = z * ((y * (z \ (x * 1))) / y).
K(x,y \ 1) / y = (x * (1 / y)) / x.
x \ K(y,x \ 1) = (y * (x \ 1)) / y.
x * ((y * (x \ 1)) / y) = K(y,x \ 1).
K(x,y \ 1) = y * ((x * (y \ 1)) / x).
x * ((x * ((y * (x \ 1)) / y)) * z) = (y \ T(y,x \ 1)) * (x * z).
(x \ T(x,y \ 1)) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z).
x \ (y \ T(y,x \ 1)) = (y * (x \ 1)) / y.
T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)).
K(x * K(y,x),y) = ((y * x) / y) \ x.
((x * y) / x) \ y = K(y * K(x,y),x).
x * (((y * x) / y) \ 1) = K(x * K(y,x),y).
K(x * K(y,x),y) = x * (((y * x) / y) \ 1).
a(x,y,z * K(x * y,z)) = x \ R(x,y,z).
x \ R(x,y,z) = a(x,y,z * K(x * y,z)).
L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z).
L(x * K(y,x),z,u) = L(x,z,u) * K(y,L(x,z,u)).
R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z).
R(x * K(y,x),z,u) = R(x,z,u) * K(y,R(x,z,u)).
T((x * y) / x,y \ 1) = T(y,y \ 1) * K(x,y).
x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1).
R(x * K(y,x),y,x) = x * K(y * x,x).
(K(x,y) * K(z,x)) \ (K(z,x) * T(x,y)) = L(x,K(x,y),K(z,x)).
L(K(x,y),K(y,z),K(y,z) \ 1) / (K(x,y) * K(y,z)) = 1 / K(y,z).
1 / T(K(x,y),z) = T(K(x,y),z) \ 1.
L(T(x,y),K(x,z),K(x,z) \ 1) = T((K(x,z) \ 1) * T(x,z),y).
(K(x,y) \ 1) \ 1 = K(x,y).
K(K(x,y) \ 1,K(x,y)) = 1.
1 / K(x,y) = K(x,y) \ 1.
K(x,y) * K(z,x) = K(z,x) * K(x,y).
K(x,y) * K(y,z) = K(y,z) * K(x,y).
K(K(x,y),K(z,x)) = 1.
T(K(x,y),K(z,x)) = K(x,y).
T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y).
T(x * K(y,x),z) = T(x,z) * K(y,T(x,z)).
x * y != y * z | x = z * K(y,z).
(x * K(y \ x,x)) / y = T(x / y,x).
x * T(x \ y,y) != y * z | K(x \ y,y) = z.
(x * K(y,x)) \ L(x,y,x) = K(x * K(y,x),x * y).
K(x * K(y,x),x * y) = (x * K(y,x)) \ L(x,y,x).
(x * K(y,x)) \ T(x * y,L(x,y,x)) = T(x * K(y,x),x * y) \ (x * y).
(x / (y * T(x,y * x))) * (y * x) = x * K(y * T(x,y * x),x).
L(x \ T(x,y),x,y / x) = y \ (y * K(x,y)).
T(T(x * K(y,x),(x * K(y,x)) * z),y) = T(x,((x * K(y,x)) \ 1) \ z).
x * T(y,z) != u * x | T(y * K(x,y),z) = u.
x * T(y,z) != u * x | u = T(y * K(x,y),z).
R(T(x,y) / y,y,T(x,y) \ x) = T(x,y) / y.
(x * K(y * K(x,y),x)) / y = x / (y * K(x,y)).
R(x / y,y,K(y,x)) = x / y.
T(((x * K(y,x)) * T(y,x)) / (x * K(y,x)),x / y) = R(T(y,x),(x * K(y,x)) / T(y,x),T(y,x)).
(x * K(y * K(x,y),x)) \ y = x \ (y * K(x,y)).
(x * K(y,x)) \ K(y,x) = x \ 1.
x * (T(y,y \ 1) \ T(T(y,y \ 1),x)) = (R(y \ 1,y,x) \ x) / T(y,y \ 1).
((x \ (y \ T(y,1 / x))) / (y \ T(y,1 / x))) * x = ((y * (1 / x)) / y) \ (x \ (y \ T(y,1 / x))).
((x * (1 / y)) / x) \ (y \ (x \ T(x,1 / y))) = ((y \ (x \ T(x,1 / y))) / (x \ T(x,1 / y))) * y.
(x * K(y,x)) * T(y,z) = x * (K(y,x) * T(y,z)).
T(K(x,y),K(z,x)) = K((1 / x) \ 1,y).
K((1 / x) \ 1,y) = T(K(x,y),K(z,x)).
T(1 / x,y \ T(y,x)) = 1 / x.
1 / x = T(1 / x,y \ T(y,x)).
K(x,y) * (1 / y) = (1 / y) * K(x,y).
(1 / x) * K(y,x) = K(y,x) * (1 / x).
(1 / (1 / (x * y))) * (y \ (x \ 1)) = (y \ (x \ 1)) * (x * y).
a((x * K(y,x)) \ 1,x * K(y,x),y) * z = (y / (y * x)) * ((1 / (x * K(y,x))) \ z).
(x / (x * y)) * ((1 / (y * K(x,y))) \ z) = a((y * K(x,y)) \ 1,y * K(x,y),x) * z.
(x * y) / (L(y * K(x,y),z,u) * x) = a(u,z,y * K(x,y)).
a((x * K(y,x)) \ 1,x * K(y,x),y) = (y / (y * x)) * (x * K(y,x)).
(x / (x * y)) * (y * K(x,y)) = a((y * K(x,y)) \ 1,y * K(x,y),x).
R(T(x,y),z,u) * K(y,R(T(x,y),z,u)) = R(x,z,u).
x * y != y * R(T(z,y),u,w) | x = R(z,u,w).
T(x,x * y) * K(y,T(x,x * y)) = L(x,y,x).
x * y != y * T(z,z * y) | x = L(z,y,z).
(x * R(x \ (x \ x),y,z)) * K(x,x * R(x \ (x \ x),y,z)) = x * R(x \ 1,y,z).
x * y != z * (y * R(y \ (z \ y),u,w)) | x = z * R(z \ 1,u,w).
(x / y) * T(y,x) = x * K(y,x).
x * K(y,x) = (x / y) * T(y,x).
x * y != y * z | x = (z / y) * T(y,z).
T(1 / x,K(y,x)) = 1 / x.
1 / x = T(1 / x,K(y,x)).
K(x \ 1,y \ T(y,x)) = 1.
((x \ 1) * K(y,x)) / (x \ 1) = K(y,x).
T(K(x,y),y \ 1) = K(x,y).
K(x \ 1,K(y,x)) = 1.
K((x * K(y,x)) \ 1,x * K(y,x)) = K((x * K(y,x)) \ 1,x).
K((x * K(y,x)) \ 1,x) = K((x * K(y,x)) \ 1,x * K(y,x)).
x \ K(x * K(y,x),y) = (x * K(y,x)) \ 1.
K(x * K(y,x),y) = x * ((x * K(y,x)) \ 1).
K((x * K(y,x)) \ 1,x * K(y,x)) = K(x \ 1,x * K(y,x)).
K(x \ 1,x * K(y,x)) = K((x * K(y,x)) \ 1,x * K(y,x)).
K(x * K(y,x),y) / x = 1 / (x * K(y,x)).
a(x \ 1,x,y * K(x,y)) = a(x \ 1,x,y).
a(x \ 1,x,y) = a(x \ 1,x,y * K(x,y)).
T(T(x * K(y,x),z),y) = T(x,L(z,u,x * K(y,x))).
T(x,L(y,z,x * K(u,x))) = T(T(x * K(u,x),y),u).
R(x,y,z) = x * a(x,y,z * K(x * y,z)).
(x / (y * K(z,y))) * T(y * K(z,y),z) = (x * y) / (y * K(z,y)).
(x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * T(y * K(z,y),z).
T((x * K(y,x)) * y,x * K(y,x)) = y * R(x * K(y,x),y,x).
x * R(y * K(x,y),x,y) = T((y * K(x,y)) * x,y * K(x,y)).
((x * K(y,x)) * y) / (x * K(y,x)) = x / (y \ (x * K(y,x))).
x / (y \ (x * K(y,x))) = ((x * K(y,x)) * y) / (x * K(y,x)).
T(x * K(y,x),y) * ((x * K(y,x)) \ z) = (x * K(y,x)) \ (x * z).
(x * K(y,x)) \ (x * z) = T(x * K(y,x),y) * ((x * K(y,x)) \ z).
L(x * K(y,x),z,u) * y = y * L(x,z,u).
x * L(y,z,u) = L(y * K(x,y),z,u) * x.
T(x * K(y,x),z) * y = y * T(x,z).
x * T(y,z) = T(y * K(x,y),z) * x.
T(T(x * K(y,x),z),y) = T(x,z).
T(x,y) = T(T(x * K(z,x),y),z).
(x * y) / ((x * y) / x) = x * K(y * K(x,y),x).
((x * y) / x) * K(y \ 1,y) = (1 / (1 / y)) * K(x,y).
((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z * K(x * y,z),x,y).
x * T(x \ y,y) = y * K(x \ y,y).
x * K(y \ x,x) = y * T(y \ x,x).
T(x,y) \ (y * K(x,y)) = T(y / x,T(x,y)).
(x * K(y,x)) / T(y,x) = x / y.
((x * y) / (K(z,x) \ y)) \ ((z * x) / z) = a(x,K(z,x),K(z,x) \ y).
((x * K(y,x)) * (y / (y * x))) \ ((y * x) / y) = 1 / (y / (y * x)).
(x * y) * K(x \ 1,x * y) = L(y / (x \ 1),x \ 1,x).
((x * y) / x) \ y = y * ((y * K(x,y)) \ 1).
x * ((x * K(y,x)) \ 1) = ((y * x) / y) \ x.
T(x * y,y) / T(x,y) = y * K(x * y,y).
(x * K(y,x)) \ T(y,x) = x \ y.
(x \ y) * K((y * x) / y,x \ y) = T(y,x) / ((y * x) / y).
T(x,y) / ((x * y) / x) = (y \ x) * K((x * y) / x,y \ x).
T(x * K(T(y,x),x),y * x) = L(x,T(y,x),x).
(x * ((y * z) / y)) / x = (y * (z * K(x,z))) / y.
(x * (y * K(z,y))) / x = (z * ((x * y) / x)) / z.
T(x * K(x \ y,x),y) = L(x,x \ y,x).
T(x * K(x * y,x),y) = R(x,y,T(x,y)).
T(x * K(y,x),x * y) = L(x,y,x).
T(x * K(y * x,x),y) = R(x,y,x).
R(x,y,x) = T(x * K(y * x,x),y).
R(x * K(y,x),z,u) * y = y * R(x,z,u).
R(x,x \ y,K(z,y)) \ ((z * y) / z) = (x \ y) * K(z,y).
(x * ((y * z) / y)) * a(x,z,K(y,z)) = (x * z) * K(y,z).
T((x * y) / x,z) = T(y,z) * K(x,T(y,z)).
T(x,y) * K(z,T(x,y)) = T((z * x) / z,y).
R(x / y,y,K(z,y)) = (x * K(z,y)) / ((z * y) / z).
R((x * y) / x,x,y) = y * K(x * y,y).
((x * y) / x) * L(z,K(x,y),y) = y * (K(x,y) * z).
T(x * K(y,x),y) = x.
a(x * K(y,x),(x * K(y,x)) \ 1,y * x) = (x * K(y,x)) * (y / (y * x)).
(x * K(y,x)) * (y / (y * x)) = a(x * K(y,x),(x * K(y,x)) \ 1,y * x).
a(x * K(y,x),(x * K(y,x)) \ 1,y * x) = y / (((x * K(y,x)) \ 1) * (y * x)).
x / (((y * K(x,y)) \ 1) * (x * y)) = a(y * K(x,y),(y * K(x,y)) \ 1,x * y).
(((x * K(y,x)) \ (y * x)) / (y * x)) * (x * K(y,x)) = (1 / (x * K(y,x))) \ (y / (y * x)).
(1 / (x * K(y,x))) \ (y / (y * x)) = (((x * K(y,x)) \ (y * x)) / (y * x)) * (x * K(y,x)).
(T(x,y * x) * K(y,T(x,y * x))) \ ((x * (y * x)) / x) = y.
(x * K(y,x)) * y = y * x.
T(x \ 1,K(y,x)) = x \ 1.
((x * y) / x) * K(y \ 1,y) = K(x,y) / (1 / y).
K(x,y) / (1 / y) = ((x * y) / x) * K(y \ 1,y).
T(x,y) \ (T(y * x,y) / R(y,x,y)) = K(R(y,x,y),T(x,y)).
K(R(x,y,x),T(y,x)) = T(y,x) \ (T(x * y,x) / R(x,y,x)).
T((x * y) / x,y \ 1) = (y \ 1) \ K(x,y).
(x \ 1) \ K(y,x) = T((y * x) / y,x \ 1).
((x * y) / x) \ K(x,y) = y \ 1.
x \ (T(x * y,x) / y) = K(x * y,x).
K(x * y,x) = x \ (T(x * y,x) / y).
(x * y) / x = y * K(x,y).
x * K(y,x) = (y * x) / y.
(x * K(y,x)) \ (y * x) = y.
L(T(x,y),K(x,z),z) = T(x,y).
L(x,K(x,y),y) = x.
K(x,y) = y \ ((x * y) / x).
L(x,x \ T(x,y),y) = x.
((x \ 1) / (y \ T(y,x))) * (((y * x) / y) / x) = T(1 / x,(y * x) / y).
x \ K((y * x) / y,x \ 1) = R(1 / x,x,y \ T(y,x)).
R(1 / x,x,y \ T(y,x)) = x \ K((y * x) / y,x \ 1).
L(x,y,z) \ ((u * x) / u) = a(z,y,x) * (u \ T(u,x)).
a(x,y,z) * (u \ T(u,z)) = L(z,y,x) \ ((u * z) / u).
K(x,x \ 1) * ((y * x) / y) = ((x \ 1) \ 1) * (y \ T(y,x)).
((x \ 1) \ 1) * (y \ T(y,x)) = K(x,x \ 1) * ((y * x) / y).
x * ((y * (x \ 1)) / y) = y \ T(y,1 / x).
x \ T(x,1 / y) = y * ((x * (y \ 1)) / x).
((x * y) / x) / (x \ T(x,y)) = y.
x * (y \ T(y,x)) = (y * x) / y.
x \ ((y * x) / y) = y \ T(y,x).
x \ T(x,y) = y \ ((x * y) / x).
((x / y) * y) * a((x * K(y,z)) / T(y,z),y,K(y,z)) = R(x / y,y,K(y,z)) * y.
a(x,y,T(z \ 1,u)) \ K(z \ 1,u) = z * L(T(z \ 1,u),y,x).
(T(x,y) \ 1) * z != 1 / T(x,y) | K(x,x \ 1) = z.
1 / T(x,y) != (T(x,y) \ 1) * z | K(x,x \ 1) = z.
a(x,y,T(1 / z,u)) = a(x,y,T(z \ 1,u)).
a(x,y,T(z \ 1,u)) = a(x,y,T(1 / z,u)).
(T(1 / x,y) \ 1) \ 1 = T(x \ 1,y).
1 / T(x \ 1,y) = T(1 / x,y) \ 1.
T(1 / x,y) \ 1 = 1 / T(x \ 1,y).
T(1 / (1 / x),y) \ 1 = 1 / T(x,y).
1 / (1 / T(x,y)) = T(1 / (1 / x),y).
(1 / x) \ (1 / T(x,y)) = (x \ 1) \ (T(x,y) \ 1).
(x \ 1) \ (T(x,y) \ 1) = (1 / x) \ (1 / T(x,y)).
T(x,y) \ K(x,x \ 1) = 1 / T(x,y).
1 / T(x,y) = T(x,y) \ K(x,x \ 1).
K(x \ 1,x) * y != z \ 1 | y = z \ K(x,x \ 1).
(T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y).
L(x \ K(y / (1 / x),1 / x),x,x \ 1) = y / (y / (1 / x)).
(x * y) * K(R(1 / x,x,y),x * y) = y / (y / (x * y)).
x / (x / (y * x)) = (y * x) * K(R(1 / y,y,x),y * x).
(x * K(y / x,x)) \ y = y / x.
a(x,y,z) \ (u / (u / a(x,y,z))) = K(a(x,y,z) \ 1,u).
x / (x / y) = y * K(x / y,y).
x * K(y / x,x) = y / (y / x).
x \ (y / (y / x)) = K(y / x,x).
K(x / y,y) = y \ (x / (x / y)).
T(x,y) * K(x \ 1,x) = 1 / (1 / T(x,y)).
K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1.
K(x \ 1,x) / T(x,y) = T(x,y) \ 1.
K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x).
(1 / K(x,y)) \ L(T(x,z),K(x,y),K(x,y) \ 1) = K(x,z) * T(x,y).
(K(x,y) * T(x,z)) / T(x,y) = K(x,z).
K(x,y) * T(x,z) = K(x,z) * T(x,y).
T(x,y) / T(K(x,y) * T(x,z),K(x,z) \ 1) = (T(x,y) * K(x,z)) \ T(x,y).
(x * T(y,z)) \ ((x * (K(y,z) * T(y,u))) / K(y,u)) = a(x,T(y,z),K(y,u)) \ 1.
(K(x,y) * T(x,z)) * (K(x,z) \ 1) = R(T(x,y),K(x,z),K(x,z) \ 1).
K(x,y) * T(x,z) = T(x,y) * K(x,z).
K(x,x \ y) \ ((y / x) * (((x \ y) \ 1) * z)) = L(z,(x \ y) \ 1,y / x).
(x / y) * ((y \ x) \ T(y \ x,z)) = T(y \ x,z) * K(y,y \ x).
T(x \ y,z) * K(x,x \ y) = (y / x) * ((x \ y) \ T(x \ y,z)).
K(x / y,(x / y) \ x) = y \ (x / (x / y)).
x \ (y / (y / x)) = K(y / x,(y / x) \ y).
a(x,y,z \ u) * K(z,z \ u) = L(z \ u,y,x) \ (u / z).
L(x \ y,z,u) \ (y / x) = a(u,z,x \ y) * K(x,x \ y).
(x \ y) * z != y / x | K(x,x \ y) = z.
(x \ y) * z != y / x | z = K(x,x \ y).
(x \ y) \ (y / x) = K(x,x \ y).
(x \ y) * K(x,x \ y) = y / x.
(x / y) / K(y,y \ x) = y \ x.
(x / y) / (y \ T(y,y \ x)) = y \ x.
K(x,y) * R(x,z,T(u,x * z)) = (x * a(x,z,u)) * K(x,y).
(x * a(x,y,z)) * K(x,u) = K(x,u) * R(x,y,T(z,x * y)).
(x * R(K(x,y),z,u)) \ (x * R(K(x,y),z,u)) = K(x,R(K(x,y),z,u)).
K(x,R(K(x,y),z,u)) = (x * R(K(x,y),z,u)) \ (x * R(K(x,y),z,u)).
(R(T((x \ 1) \ 1,y),z,u) * K(x \ 1,x)) / R((T((x \ 1) \ 1,y) \ T(x,y)) \ T(x,y),z,u) = T((x \ 1) \ 1,y) \ T(x,y).
K(R(x \ 1,x,x \ y),z) = K((x \ y) / y,z).
K((x \ y) / y,z) = K(R(x \ 1,x,x \ y),z).
K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z).
K(x,y \ z) = K(x,y \ ((z \ 1) \ 1)).
L(x,x \ 1,y) * (y * (1 / x)) = y * K(x,y * (x \ 1)).
K(x,(y \ (y / z)) * z) = K(x,z * (y \ (y / z))).
K(x,y * (z \ (z / y))) = K(x,(z \ (z / y)) * y).
K(x,y \ T(z,z \ 1)) = K(x,y \ z).
K(x,y \ (1 / z)) = K(x,y \ (z \ 1)).
K(x,((y \ z) / z) * y) = K(x,a(y,y \ 1,z)).
K(x,a(y,y \ 1,z)) = K(x,((y \ z) / z) * y).
K(x,a(y * z,z \ 1,(z \ 1) \ 1)) = K(x,a(y,z,z \ 1)).
K(x,a(y \ 1,y,y \ z)) = K(x,a(y,y \ 1,z)).
K(x,y \ ((1 / z) \ u)) = K(x,y \ ((z \ 1) \ u)).
K(x,y \ ((z \ 1) \ u)) = K(x,y \ ((1 / z) \ u)).
K(x,K(y,y \ 1) * z) = K(x,z).
K(x,y * (1 / z)) = K(x,y * (z \ 1)).
K(x,y * ((z \ 1) \ 1)) = K(x,y * z).
K(x,y * K(z \ 1,z)) = K(x,y).
K(x,y * K(z,z \ 1)) = K(x,y).
K(x,y) = K(x,y * K(z,z \ 1)).
K(x,y * K(z,z \ 1)) = K(u \ 1,u) * (T(x,y) * (x \ K(u,u \ 1))).
K(x \ 1,x) * (T(y,z) * (y \ K(x,x \ 1))) = K(y,z * K(u,u \ 1)).
K(T(x,y) \ 1,T(x,z)) = T(K(x \ 1,x),y).
K(x \ 1,T(x,y)) = K(x \ 1,x).
K(x \ 1,x) = K(x \ 1,T(x,y)).
K(x \ 1,T(x,y)) = K(x \ 1,x) * 1.
K(x,x \ 1) * T(x,y) = T(T(x,y),x \ 1).
T(T(x,y),x \ 1) = K(x,x \ 1) * T(x,y).
K(x \ 1,T(x,y)) = K(x,x \ 1) \ 1.
K(x,x \ 1) \ 1 = K(x \ 1,T(x,y)).
K(x / y,(x / y) \ 1) = K(y \ x,(x / y) \ 1).
K(x \ y,(y / x) \ 1) = K(y / x,(y / x) \ 1).
K(T(x,y),x \ 1) = K(x,x \ 1).
K(T(x,y),x \ 1) = ((x \ 1) \ 1) / x.
((x \ 1) \ 1) / x = K(T(x,y),x \ 1).
(T(x,y) * (z \ T(z,T(x,z)))) / (T(x,y) * (T(x,z) \ 1)) = x.
T(x,T(y,x)) \ ((x * y) * (T(y,x) \ 1)) = a(x,y,y \ (x \ T(x,T(y,x)))).
((x * y) / x) \ (x \ (x * y)) = y / ((x * y) / x).
x / ((y * x) / y) = ((y * x) / y) \ (y \ (y * x)).
K(x,T(y,x) \ (x \ z)) = K(x,(y * x) \ z).
K(x,(y * x) \ z) = K(x,T(y,x) \ (x \ z)).
R((x * y) / x,z,u) * K(y,w) = K(y,w) * R((x * y) / x,z,u).
K(x,y) * R((z * x) / z,u,w) = R((z * x) / z,u,w) * K(x,y).
T(x,y) * (x \ T(x,z)) = K(x,z) * T(x,y).
T(x,y) / K(T(x,K(T(x,y),z)),y) = T(x,K(T(x,y),z)).
K(x,(y \ x) \ 1) = K(x,x \ y).
K(x,x \ y) = K(x,(y \ x) \ 1).
K(x * y,(x * y) \ x) = K(x * y,y \ 1).
K(x,x \ (x / y)) = K(x,y \ 1).
K(x,y \ 1) = K(x,x \ (x / y)).
K(x \ (x / (1 / y)),x) = K(x \ (x / (y \ 1)),x).
K(x \ (x / (y \ 1)),x) = K(x \ (x / (1 / y)),x).
T(K(x,y),z) * L(x,u,w) = L(x,u,w) * T(K(x,y),z).
T(x,T(K(x,y),z)) = x.
(x / y) / (y \ T(y,T(x / y,y))) = y \ x.
a(x,y,T(z,T(u,z)) \ z) = a(x,y,(T(u,z) \ u) \ 1).
a(x,y,(T(z,u) \ z) \ 1) = a(x,y,T(u,T(z,u)) \ u).
x \ (y \ T(y,T(x,y))) = T(x,y) \ 1.
(x * y) \ T(x * y,T((y * x) / y,x * y)) = L(x,y,x) \ ((y * x) / y).
L(x,y,x) \ ((y * x) / y) = (x * y) \ T(x * y,T((y * x) / y,x * y)).
K(x,R(1 / y,y,z)) = K(x,R(y \ 1,y,z)).
K(x,R(y \ 1,y,z)) = K(x,R(1 / y,y,z)).
K(x,T(y,y \ 1)) = K(x,y).
K(x,(y \ 1) \ 1) = K(x,y).
K(x,y) = K(x,(y \ 1) \ 1).
K(x,1 / y) = K(x,y \ 1).
K(x,y \ 1) = K(x,1 / y).
L(1 / x,y,z) \ (x \ T(x,u)) = a(z,y,x \ 1) * T(x,u).
K(x \ 1,(x \ 1) \ (x \ y)) = (x \ 1) \ T(x \ 1,y).
(x \ 1) \ T(x \ 1,y) = K(x \ 1,(x \ 1) \ (x \ y)).
(x / y) \ ((a(y,z,x) \ y) \ L(x,z,y)) = K(x / y,(x / y) \ L(x,z,y)).
(x \ y) / (y / x) = (y / x) \ (x \ y).
(x \ y) * K(((x \ y) \ (y / x)) \ 1,z) = (y / x) * T(K(y / x,x),z).
(x / y) * T(K(x / y,y),z) = (y \ x) * K(((y \ x) \ (x / y)) \ 1,z).
K(x,(x * y) \ z) = K(x,y \ (x \ z)).
K(x,L(y,z,x)) = K(x,y).
K(x,y) = K(x,L(y,z,x)).
T(K(x,y),T(x,z)) = K(x,y).
T((x * y) / x,K(y,z)) = (x * y) / x.
(x * y) / x = T((x * y) / x,K(y,z)).
R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z).
K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y).
T(x,y) * K(x,z) = K(x,z) * T(x,y).
K(x,y) * T(x,z) = T(x,z) * K(x,y).
T(T(x,y),K(x,z)) = T(x,y).
T(x,y) = T(T(x,y),K(x,z)).
K(K(x,y) \ 1,z) * x = x * K(K(x,y) \ 1,z).
x * K(K(x,y) \ 1,z) = K(K(x,y) \ 1,z) * x.
T(T(K(x,y),z),x) = T(K(x,y),z).
T(K(x,y),z) = T(T(K(x,y),z),x).
T(x,K(x,y)) = x.
a(x,y,z / (z * K(z,u))) = a(x,y,K(z,u) \ 1).
a(x,y,K(z,u) \ 1) = a(x,y,z / (z * K(z,u))).
R(K(x,y),z,u) * x = x * R(K(x,y),z,u).
T(K(x,y),x) = K(x,y).
T((x \ 1) \ 1,y) \ T(x,y) = K(x \ 1,x).
K(R(1 / x,x,y),z) = K(R(x \ 1,x,y),z).
K(R(x \ 1,x,y),z) = K(R(1 / x,x,y),z).
L(K(T(x,y),z),T(x,y),y) = (x * y) \ (T(x,z) * y).
K(T(x \ 1,y) \ 1,z) = T(K(x,z),y).
K(T(x,x \ 1),y) = K(x,y).
a(T(x,y),T(x,y) \ 1,K(x,y)) = T(x,y) * ((x \ 1) / K(x,y)).
T(x,y) * ((x \ 1) / K(x,y)) = a(T(x,y),T(x,y) \ 1,K(x,y)).
K(x,y * K(z,z \ 1)) = T(x,y) * (x \ 1).
x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x).
T(x,x \ 1) \ T(T(x,x \ 1),y) = x \ T(x,y).
T(x \ 1,y) / K(y \ (y / x),y) = x \ 1.
T(x \ 1,y) / (x * T(x \ 1,y)) = x \ 1.
R(T(x,y),K(x,z),K(x,z) \ 1) = T(T(x,z) * (K(x,z) \ 1),y).
T(T(x,y),z) / K(T(x,z),y) = T(x,z).
T(x,(x \ L(x,y,z)) / x) = a(z,y,x) \ ((x \ (a(z,y,x) \ 1)) \ 1).
a(x,y,z) \ ((z \ (a(x,y,z) \ 1)) \ 1) = T(z,(z \ L(z,y,x)) / z).
T(x,a(y,z,u)) * T(K(a(y,z,u),x),w) = x * K(K(a(y,z,u),x),w).
T(x,a(y,z,u) \ 1) = T(x,a(y,z,u) \ x).
(x * K(x,y)) / x = K(x,y).
K(x,y) = (x * K(x,y)) / x.
x * (a(x,y,z) \ K(x,u)) = a(x,y,z) \ T(x,u).
a(x,y,z) \ T(x,u) = x * (a(x,y,z) \ K(x,u)).
(x * T(y,z)) * K(L(K(y,z),y,x),x * y) = L(K(y,z),y,x) * (x * y).
(x * T(T(y,x),z)) \ ((y * x) * K(T(y,x),z)) = a(x,T(y,x),K(T(y,x),z)).
a(x,y,y \ 1) \ K(x,z) = R(x,y,y \ 1) \ T(x,z).
R(x,y,y \ 1) \ T(x,z) = a(x,y,y \ 1) \ K(x,z).
L(K(x,y),x,z) \ (z * T(x,y)) = T(z * x,L(K(x,y),x,z)).
T((x * K(y,z)) / T(y,z),y) = R(y \ x,y,K(y,z)).
((x / y) * T(y,z)) \ (x * K(y,z)) = a(x / y,y,K(y,z)).
T(x,y) * z != x * (K(x,y) * u) | L(u,K(x,y),x) = z.
(x * T(y,z)) * a(x,y,K(y,z)) = (x * y) * K(y,z).
R(x,K(x,y),z) \ (T(x,y) * z) = K(x,y) * z.
R(x / y,y,K(y,z)) = (x * K(y,z)) / T(y,z).
R(x,y,K(y,z)) * T(y,z) = (x * y) * K(y,z).
T(x,y) * L(z,K(x,y),x) = x * (K(x,y) * z).
(T(x,y) * z) / (K(x,y) * z) = R(x,K(x,y),z).
R(x,K(x,y),z) = (T(x,y) * z) / (K(x,y) * z).
K(1 / x,y) = K(x \ 1,y).
K(x \ 1,y) = K(1 / x,y).
x / (y \ T(y,T(x,y))) = T(x,y).
T(x,y) \ x = y \ T(y,T(x,y)).
x \ T(x,T(y,x)) = T(y,x) \ y.
x \ T(x,y \ 1) = K(x,1 / y).
K(x,1 / y) = x \ T(x,y \ 1).
a(x,y,K(z,u)) \ T(z,u) = z * L(K(z,u),y,x).
(x \ T(x,y)) / T(x,y) = 1 / x.
(x \ T(x,y)) * x = T(x,y).
T(x,y) = (x \ T(x,y)) * x.
T(x,y) * T(T(x,y) \ x,z) = x * K(K(x,y) \ 1,z).
T(x,y) * K((T(x,y) \ x) \ 1,z) = x * T(K(x,y),z).
x * T(K(x,y),z) = T(x,y) * K((T(x,y) \ x) \ 1,z).
K((x \ 1) \ 1,y) = K(x,y).
a(x,y,T(z,u)) \ K(z,u) = z \ L(T(z,u),y,x).
T(x,x * (T(x,y) \ z)) = T(x,K(x,y) \ z).
T(x,K(x,y) \ z) = T(x,x * (T(x,y) \ z)).
K(x,L(y,z,x)) = x \ T(x,y).
(x * a(x,y,z)) * K(x,u) = a(x,y,z) * T(x,u).
K(x,x \ (x / y)) = x \ T(x,y \ 1).
a(R(x,y,y),y,y) * T(x,z) = R(x,y,y) * K(x,z).
R(x,y,y) * K(x,z) = a(R(x,y,y),y,y) * T(x,z).
L(x,y,z) \ T(x,u) = a(z,y,x) * K(x,u).
a(x,y,z) * K(z,u) = L(z,y,x) \ T(z,u).
T(T(x,y),z) * (T(x,y) \ x) = x * K(T(x,y),z).
L(L(K(x,y),x,z),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))).
x * (T(x,y) \ (K(x,y) * z)) = L(z,x \ T(x,y),x).
K(x \ 1,x) * (y \ T(y * K(x,x \ 1),z)) = K(y * K(x,x \ 1),z).
K(x * K(y,y \ 1),z) = K(y \ 1,y) * (x \ T(x * K(y,y \ 1),z)).
T(x,y) * (x \ T(x,z)) = T(x,z) * K(x,y).
T(x,y) * K(x,z) = T(x,z) * (x \ T(x,y)).
(x \ y) \ K(y / x,x) = (y / x) \ 1.
x \ (T(x,y) \ T(x,z)) = T(x,y) \ K(x,z).
T(x,y) \ K(x,z) = x \ (T(x,y) \ T(x,z)).
T(x,y) \ K(x,y) = x \ 1.
T(x,y) = K(x,y) / (x \ 1).
K(x,y) / (x \ 1) = T(x,y).
K(x,y) = T(x,y) * (x \ 1).
T(x,y) * (x \ 1) = K(x,y).
(x * T(y,z)) / L(K(y,z),y,x) = x * y.
L(x \ K(y,z),x,y) = (y * x) \ T(y,z).
(x * y) \ (x * T(y,z)) = L(K(y,z),y,x).
L(K(x,y),x,z) = (z * x) \ (z * T(x,y)).
x \ ((x \ y) \ y) = K(x,x \ y).
K(x,x \ y) = x \ ((x \ y) \ y).
(x / y) \ (y \ x) = K(x / y,y).
K(x / y,y) = (x / y) \ (y \ x).
T(x,y) / K(x,y) = x.
L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u).
K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z).
T(x,y) \ T(T(x,z),y) = K(T(x,y),z).
K(T(x,y),z) = T(x,y) \ T(T(x,z),y).
T(x,y) = x * K(x,y).
x * K(x,y) = T(x,y).
K(x \ (x / (1 / y)),x) = y \ T(y,x).
x \ T(x,y) = K(y \ (y / (1 / x)),y).
(1 / x) * y != T(1 / x,z) | y = K(z \ (z / x),z).
T(x,y) / x = x \ T(x,y).
x \ T(x,y) = T(x,y) / x.
K(x,y) = x \ T(x,y).
x \ T(x,y) = K(x,y).
(1 / (1 / x)) * y != T(1 / (1 / x),z) | y = K(x,z).
T((x * T(y,y \ 1)) * K(y \ 1,y),z) = (y \ T(y * x,z)) * y.
T(((1 / x) * y) * K(x \ 1,x),z) = (x \ 1) * (x * T(x \ y,z)).
(1 / (1 / x)) * (x \ T(x,y)) = T(1 / (1 / x),y).
K(x \ 1,x) * T(x,y) = T(1 / (1 / x),y).
T(1 / (1 / x),y) = K(x \ 1,x) * T(x,y).
T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z).
K(x \ 1,x) * T(y,z) = T(y * K(x \ 1,x),z).
T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y).
T(1 / (1 / x),y) = T(x,y) * K(x \ 1,x).
x \ T(x * K(y,y \ 1),z) = T(x,z) * (x \ K(y,y \ 1)).
K(x \ 1,x) * (y / (z * (x \ 1))) = y / (z * (1 / x)).
x * (y * a(y \ 1,y,x)) = (1 / y) \ T(x,y).
a(x \ 1,x,y) * x = x * a(x \ 1,x,y).
T(x,a(x \ 1,x,y)) = x.
K(a(x \ 1,x,x \ y),z) = T(z,a(x,x \ 1,y)) \ z.
T(x,((x \ y) / y) * x) = x.
a(x \ 1,x,T(x \ 1,y)) = K(x \ 1,x).
T(1 / x,y) \ T(x \ 1,y) = K(x \ 1,x).
T(x,y \ (((y \ z) / z) \ 1)) = T(x,a(y,y \ 1,z) \ 1).
T(x,a(y,y \ 1,z) \ 1) = T(x,y \ (((y \ z) / z) \ 1)).
R(T(K(x,y),x * (z \ 1)),x,1 / z) = (x * (1 / z)) \ (T(x,y) * (1 / z)).
T(x,(y \ (y / z)) * z) = T(x,z * (y \ (y / z))).
T(x,(y \ 1) * x) = T(x,x / y).
T(1 / x,(x \ 1) * y) = T(1 / x,x \ y).
T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y).
T(x,y) * K(z \ 1,z) = T(x * K(z \ 1,z),y).
T(x,(y * (z \ 1)) * z) = T(x,R(y,z \ 1,z)).
T(x,R(y,z \ 1,z)) = T(x,(y * (z \ 1)) * z).
T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z).
T(x,y * (1 / (1 / z))) = T(x,y * z).
T(x,(L(y,z,u) \ 1) * y) = T(x,a(u,z,y)).
T(x,y \ (1 / z)) = T(x,y \ (z \ 1)).
T(1 / x,y) * K(x \ 1,x) = T(x \ 1,y).
T(x \ 1,y) = T(1 / x,y) * K(x \ 1,x).
T(x,y * (1 / z)) = T(x,y * (z \ 1)).
T(x,y * K(z \ 1,z)) = T(x,y).
T(x,y) = T(x,y * K(z \ 1,z)).
T(x,y * K(z,z \ 1)) = T(x,y).
T(x,((y \ z) / z) * y) = T(x,a(y,y \ 1,z)).
T(x,a(y,y \ 1,z)) = T(x,((y \ z) / z) * y).
T(x,(1 / (1 / y)) * z) = T(x,y * z).
T(x,y * z) = T(x,(1 / (1 / y)) * z).
T(x,(1 / y) * z) = T(x,(y \ 1) * z).
T(x,K(y \ 1,y) * z) = T(x,z).
T(x,y) = T(x,K(z \ 1,z) * y).
(x * K(y \ 1,y)) / z = K(y \ 1,y) * (x / z).
(x * (K(y \ 1,y) * (z * u))) \ ((x * (K(y \ 1,y) * z)) * u) = a(x,K(y \ 1,y) * z,L(u,z,K(y \ 1,y))).
K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y.
K(x \ 1,x) / y = K(x \ 1,x) * (1 / y).
T(x,K(y,y \ 1) * z) = T(x,z).
T(x,y) = T(x,K(z,z \ 1) * y).
L(x,y,K(z \ 1,z)) = x.
L(x,y,K(z,z \ 1)) = x.
a(K(x,x \ 1),y,z) = 1.
a(K(x,x \ 1),y,z) = K(x,x \ 1) * (K(x \ 1,x) * 1).
a(K(x,x \ 1),y,z) = K(x,x \ 1) * (K(x \ 1,x) * (y \ y)).
a(K(x,x \ 1),y,z) = K(x,x \ 1) * ((y * K(x,x \ 1)) \ y).
a(K(x,x \ 1),y,z) = (y * K(x,x \ 1)) \ (K(x,x \ 1) * y).
(x * K(y,y \ 1)) \ (K(y,y \ 1) * x) = a(K(y,y \ 1),x,z).
(x * y) \ ((x * (y * z)) * ((u \ w) * (w \ u))) = L(z,y,x) * ((u \ w) * (w \ u)).
R(x,y,z * ((u * z) \ u)) = x.
((x * y) * (z * ((u \ w) * (w \ u)))) / ((y * z) * ((u \ w) * (w \ u))) = R(R(x,y,z),y * z,(u \ w) * (w \ u)).
R(x,y,(z \ u) * (u \ z)) = x.
K(x \ 1,x) * (y * (z \ K(x,x \ 1))) = y * (z \ 1).
K(x,x \ 1) * (y * (x * z)) = y * (((x \ 1) \ 1) * z).
L(T(x,y),y,K(z,z \ 1)) = T(x,K(z,z \ 1) * y).
K(x \ 1,x) * (y * (K(x,x \ 1) * z)) = y * z.
K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z).
x * (K(y,y \ 1) * z) = K(y,y \ 1) * (x * z).
x * y != z * (K(u,u \ 1) * y) | x = K(u,u \ 1) * z.
(x * ((x \ y) / ((z \ u) * (u \ z)))) \ y = (z \ u) * (u \ z).
(x \ y) * (y \ x) = (z * ((z \ u) / ((x \ y) * (y \ x)))) \ u.
(x * y) / ((z \ u) * (u \ z)) = x * (y / ((z \ u) * (u \ z))).
(x * y) * ((z \ u) * (u \ z)) = x * (y * ((z \ u) * (u \ z))).
L((x \ y) * (y \ x),z,u) = (x \ y) * (y \ x).
a(x,y,(z \ u) * (u \ z)) = 1.
a(x,y,(z \ (z / u)) * u) = 1.
L((x \ (x / y)) * y,z,u) = (x \ (x / y)) * y.
(((x \ 1) \ 1) * ((x \ 1) * y)) \ ((x \ 1) * y) = T(y \ (x \ y),x).
T(x \ (y \ x),y) = (((y \ 1) \ 1) * ((y \ 1) * x)) \ ((y \ 1) * x).
((x \ 1) * (x * y)) \ (x * y) = y \ ((x \ 1) \ y).
((x * y) * (K(z \ 1,z) * u)) / (y * u) = R(x * K(z \ 1,z),y,u).
(((x * y) / x) * K(z,z \ 1)) / ((z \ 1) \ 1) = z \ ((x * (z * (y / z))) / x).
(x * (y * (K(z,z \ 1) * u))) \ ((x * y) * (K(z,z \ 1) * u)) = a(x,y * K(z,z \ 1),u).
(x * (K(y,y \ 1) * z)) * u = (x * z) * (K(y,y \ 1) * u).
(x * y) * ((z \ (z / u)) * u) = x * (y * ((z \ (z / u)) * u)).
x * (y \ (((z \ 1) \ 1) \ u)) != y \ (z \ u) | K(z,z \ 1) = x.
x \ (y \ z) != u * (x \ (((y \ 1) \ 1) \ z)) | K(y,y \ 1) = u.
(1 / x) * (y \ ((1 / x) \ z)) = (x \ 1) * (y \ ((x \ 1) \ z)).
(x \ 1) * (y \ ((x \ 1) \ z)) = (1 / x) * (y \ ((1 / x) \ z)).
K(x \ 1,x) * (y \ ((x \ 1) \ z)) = y \ ((1 / x) \ z).
x * (y * ((z \ (z / u)) * u)) = (x * y) / a(z,u \ 1,u).
(x * y) / a(z,u \ 1,u) = x * (y * ((z \ (z / u)) * u)).
(((x * y) * (K(z \ 1,z) * u)) / (y * u)) * K(z,z \ 1) = R(R(x,y,u),y * u,K(z \ 1,z)).
(x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u).
(x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y).
x * (K(y \ 1,y) * z) = (x * z) * K(y \ 1,y).
(L(x,y,z) * ((x \ u) * a(w,v5,v5 \ 1))) \ (u * a(w,v5,v5 \ 1)) = a(z,y,T(x,(x \ u) * a(w,v5,v5 \ 1))).
R(x,y,L(a(z,u,u \ 1),w,v5)) = x.
R(x,y,z \ (u * ((z \ u) \ 1))) = x.
x \ (y * a(z,u,u \ 1)) = (x \ y) * a(z,u,u \ 1).
L(x,y,z) * ((x \ u) * a(w,v5,v5 \ 1)) = (a(z,y,x) \ u) * a(w,v5,v5 \ 1).
(a(x,y,z) \ u) * a(w,v5,v5 \ 1) = L(z,y,x) * ((z \ u) * a(w,v5,v5 \ 1)).
R(x,y,a(z,u,u \ 1)) = x.
K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1).
x \ T(y,y \ 1) = K(y,y \ 1) * (x \ y).
K(x,x \ 1) * (y \ (((x \ 1) \ 1) \ z)) = y \ (x \ z).
x \ (y \ z) = K(y,y \ 1) * (x \ (((y \ 1) \ 1) \ z)).
K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1).
x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z).
K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x).
x \ (1 / y) = K(y,y \ 1) * (x \ (y \ 1)).
(x * (y * K(z,z \ 1))) / u = ((x * y) / u) * K(z,z \ 1).
(x \ ((1 / y) \ z)) * K(y,y \ 1) = x \ ((y \ 1) \ z).
x \ ((y \ 1) \ z) = (x \ ((1 / y) \ z)) * K(y,y \ 1).
x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y).
K(x,x \ 1) * (y \ z) = y \ (z * K(x,x \ 1)).
(x * K(y,y \ 1)) / z = (x / z) * K(y,y \ 1).
(x * K(y \ 1,y)) / (z * (y \ 1)) = x / (z * (1 / y)).
x / (y * (1 / z)) = (x * K(z \ 1,z)) / (y * (z \ 1)).
R(x,y,K(z \ 1,z)) = x.
x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1).
((x * (y * K(z,z \ 1))) / y) \ (K(z,z \ 1) * x) = a(K(z,z \ 1),x,y).
(x * (y * K(z,z \ 1))) * u = (x * y) * (K(z,z \ 1) * u).
R(x,y,K(z,z \ 1)) = x.
K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1).
K(x \ 1,x) * (y \ K(x,x \ 1)) = y \ 1.
R((x / K(y,y \ 1)) / (z \ 1),z \ 1,K(y,y \ 1)) = x / (z \ K(y,y \ 1)).
(x * y) / a(z,u \ 1,u) = x * (y / a(z,u \ 1,u)).
R(K(x,x \ 1),y,z) = K(x,x \ 1).
(x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1).
x \ K(y,y \ 1) = (x \ 1) * K(y,y \ 1).
(x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)).
L(a(x,y \ 1,y),z,u) = a(x,y \ 1,y).
L(K(x,x \ 1),y,z) = K(x,x \ 1).
(x * (K(y \ 1,y) * z)) * 1 = (x * z) * K(y \ 1,y).
a(x,y,K(z,z \ 1)) = 1.
a(x,y,a(z,u \ 1,u)) = 1.
a(x,y,K(z \ 1,z)) = 1.
R(R(x,y,z),y * z,L(a(u,w,w \ 1),z,x * y)) = ((x * y) * (z * a(u,w,w \ 1))) / ((y * z) * a(u,w,w \ 1)).
((x * y) * (z * a(u,w,w \ 1))) / ((y * z) * a(u,w,w \ 1)) = R(R(x,y,z),y * z,L(a(u,w,w \ 1),z,x * y)).
(x * y) / a(z,u,u \ 1) = x * (y / a(z,u,u \ 1)).
x * ((x \ y) * a(z,u,u \ 1)) = y * a(z,u,u \ 1).
x * a(y,z,z \ 1) = u * ((u \ x) * a(y,z,z \ 1)).
(x * y) * a(z,u,u \ 1) = x * (y * a(z,u,u \ 1)).
a(x,y,a(z,u,u \ 1)) = 1.
L(a(x,y,z) \ 1,u * a(x,y,z),w) = L(a(x,y,z),u,w) \ 1.
L(a(x,y,y \ 1),z,u) = a(x,y,y \ 1).
a(x,y,L(z,u / L(z,y,x),w)) = L(a(x,y,z),u,w).
L(a(x,y,z),u,w) = a(x,y,L(z,u / L(z,y,x),w)).
L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)).
(x * (y * (z * u))) \ (x * ((y * z) * u)) = a(y,z,L(u,y * z,x)).
(x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)).
L(a(x,y,L(z,u,w)),L(L(z,u,w),y,x),w * u) = (w * (u * L(z,y,x))) \ (w * (u * z)).
a(x,y,((z \ 1) \ T(u,z)) \ T(u,z)) = a(x,y,(u * z) \ T(u,z)).
a(x,y,((z \ 1) \ u) \ u) = a(x,y,(z * u) \ u).
a(x,y,(z * u) \ u) = a(x,y,((z \ 1) \ u) \ u).
a(x,y,((1 / z) * u) \ u) = a(x,y,(z \ u) \ u).
a(x,y,(z \ u) \ u) = a(x,y,((1 / z) * u) \ u).
a(x,y,((1 / z) * u) \ u) = (a(x,y,z) \ u) \ u.
(a(x,y,z) \ u) \ u = a(x,y,((1 / z) * u) \ u).
(1 / x) * ((1 / L(x,y,z)) \ u) = a(z,y,x) \ u.
a(x,y,z) \ u = (1 / z) * ((1 / L(z,y,x)) \ u).
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = a(u,z,y).
R(x,y / (z * y),(y / (z * y)) \ 1) = x * a(x,y / (z * y),z).
a(x,y,R(1 / z,z,u) \ 1) = a(x,y,z).
a(x,y,z / u) \ ((u / z) \ 1) = L((u / z) \ 1,y,x).
L((x / y) \ 1,z,u) = a(u,z,y / x) \ ((x / y) \ 1).
R(x,y / z,(y / z) \ 1) = x * a(x,y / z,z / y).
x * a(x,y / z,z / y) = R(x,y / z,(y / z) \ 1).
L((x \ y) / y,z,u) \ (x \ y) = a(u,z,x \ 1) * y.
a(x,y,R(1 / z,z,u) \ 1) = a(x,y,(z * u) / u).
a(x,y,(z * u) / u) = a(x,y,R(1 / z,z,u) \ 1).
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = a(u,z,(1 / y) \ 1).
a(x,y,(z / u) \ 1) = a(x,y,u / z).
a(x,y,z / u) = a(x,y,(u / z) \ 1).
a(x,y,(z \ u) / u) = a(x,y,z \ 1).
a(x,y,z / (u * z)) = a(x,y,u \ 1).
a(x,y,z \ 1) = a(x,y,u / (z * u)).
a(x,y,R(z \ 1,z,u)) = a(x,y,z \ 1).
a(x,y,R(z,z \ 1,u)) = a(x,y,z).
a(x,y,R(z,z \ u,u \ w)) \ w = (a(x,y,z) \ u) * (u \ w).
R(a(x,y,z),a(x,y,z) \ u,w) = a(x,y,R(z,z \ u,w)).
a(x,y,R(z,L(z,y,x) \ u,w)) = R(a(x,y,z),u,w).
R(a(x,y,z),u,w) = a(x,y,R(z,L(z,y,x) \ u,w)).
R(a(x,y,z),L(z,y,x) * u,w) = a(x,y,R(z,u,w)).
((x * y) * z) / ((L(x,u,w) * y) * z) = a(w,u,R(x,y,z)).
R(a(x,y,R(z,u,w)),L(R(z,u,w),y,x),u * w) = ((z * u) * w) / ((L(z,y,x) * u) * w).
(x * (((y \ z) / z) * y)) / (y \ z) = x / ((1 / y) * z).
(x * (((1 / y) * z) \ (y \ z))) / (y \ z) = x / ((1 / y) * z).
(x * ((1 / y) * z)) * (((y \ z) / z) * y) = x * (y \ z).
x * (y \ z) = (x * ((1 / y) * z)) * (((y \ z) / z) * y).
R(x,(1 / y) * z,((y \ z) / z) * y) * (y \ z) = (x * ((1 / y) * z)) * (((y \ z) / z) * y).
L(x,(((1 / y) * z) \ 1) \ 1,z \ y) = L(x,(1 / y) * z,((1 / y) * z) \ 1).
L(x,L(y \ z,y,1 / z) \ 1,y \ z) = L(x,(1 / z) * y,((1 / z) * y) \ 1).
L(x,(1 / y) * z,((1 / y) * z) \ 1) = L(x,L(z \ y,z,1 / y) \ 1,z \ y).
L(x,L(y \ z,y,1 / z) \ 1,L(y \ z,y,1 / z)) = L(x,(1 / z) * y,((1 / z) * y) \ 1).
(1 / x) * (L(x,y,z) * T(u,x \ L(x,y,z))) = L(u,L(x,y,z),1 / x) / a(z,y,x).
(1 / x) * (L(x,y,z) * T(u,x \ L(x,y,z))) = L(u,L(x,y,z),1 / x) * (L(x,y,z) / x).
(1 / x) * (L(x,y,z) * T(u,L(x,y,z) / x)) = L(u,L(x,y,z),1 / x) * (L(x,y,z) / x).
L(x,L(y,z,u),1 / y) * (L(y,z,u) / y) = (1 / y) * (L(y,z,u) * T(x,L(y,z,u) / y)).
a((x * (1 / y)) / x,y,y \ 1) \ 1 = ((x * (y \ 1)) / x) \ ((x * (1 / y)) / x).
a((x * (1 / y)) / x,y,y \ 1) \ 1 = ((x * ((y \ 1) / 1)) / x) \ ((x * (1 / y)) / x).
((x * ((y \ 1) / 1)) / x) \ ((x * (1 / y)) / x) = a((x * (1 / y)) / x,y,y \ 1) \ 1.
a(x,y,z) \ ((z \ (a(x,y,z) \ 1)) \ 1) = z * K(z,(z \ L(z,y,x)) / z).
x * K(x,(x \ L(x,y,z)) / x) = a(z,y,x) \ ((x \ (a(z,y,x) \ 1)) \ 1).
x * K(x * a(y,z,x),a(y,z,x) \ (x \ 1)) = a(y,z,x) \ ((x \ (a(y,z,x) \ 1)) \ 1).
x * K(x * a(y,z,x),(x * a(y,z,x)) \ 1) = a(y,z,x) \ ((x \ (a(y,z,x) \ 1)) \ 1).
((x \ 1) \ y) * K((x \ (1 / (y / (x * y)))) \ 1,z) = x * (y * T(x * (y / (x * y)),z)).
(R(x,y,z) \ 1) * (K(R(x,y,z),R(x,y,z) \ 1) * R(x,u,w)) = R(x,u,w) / R(x,y,z).
(L(x,y,z) * u) \ (u * x) = a(z,y,T(x,u)) * K(u,x).
a(x,y,T(z,u)) * K(u,z) = (L(z,y,x) * u) \ (u * z).
((L(x,y,z) * u) \ (x * u)) * K(u,x) = (L(x,y,z) * u) \ (u * x).
(L(x,y,z) * u) \ (u * x) = ((L(x,y,z) * u) \ (x * u)) * K(u,x).
K(a(x,y,z),u) * (z * w) = z * (K(a(x,y,z),u) * w).
L(x,y,z) * (T(a(z,y,x),u) * w) = K(a(z,y,x),u) * (x * w).
L(x,y,z) * (u * T(T(a(z,y,x),u),w)) = K(a(z,y,x),w) * (x * u).
L(x,y,z) * (u * T(u \ (a(z,y,x) * u),w)) = K(a(z,y,x),w) * (x * u).
L(x,y,z) * (u * T(u \ (L(x,y,z) \ (x * u)),w)) = K(a(z,y,x),w) * (x * u).
(a(x,y,z) \ 1) * ((z \ (a(x,y,z) \ 1)) \ 1) = z * K(z * a(x,y,z),(z * a(x,y,z)) \ 1).
L(a(x,y,z) \ 1,u,w) \ v5 != v6 * v5 | a(x,y,L(z,u / z,w)) = v6.
a(x,y,L(z,u / z,u \ 1)) \ 1 = (1 / u) * (u / a(x,y,z)).
L(a(x,y,z) \ 1,u,w) \ v5 = a(x,y,L(z,u / z,w)) * v5.
L(a(x,y,z) \ 1,u * a(w,v5,z),v6) = a(x,y,L(z,u / L(z,v5,w),v6)) \ 1.
a(x,y,L(z,u / z,w)) \ 1 = L(a(x,y,z) \ 1,u,w).
L(a(x,y,z) \ 1,u,w) = a(x,y,L(z,u / z,w)) \ 1.
L(a(x,y,z) \ 1,u * z,w) = a(x,y,L(z,u,w)) \ 1.
a(x,y,L(z,u,w)) \ 1 = L(a(x,y,z) \ 1,u * z,w).
(x * (y * z)) \ (x * (y * L(z,u,w))) = a(w,u,L(z,y,x)) \ 1.
L(a(x,y,L(z,u,w)) \ 1,L(z,u,w),w * u) = (w * (u * z)) \ (w * (u * L(z,y,x))).
1 / ((x \ 1) \ a(y,z,x)) = (x \ 1) / a(y,z,x).
1 / (T(x,x \ 1) * a(y,z,x)) = (x \ 1) / a(y,z,x).
(x \ 1) / a(y,z,x) = 1 / (T(x,x \ 1) * a(y,z,x)).
(1 / (x * a(y,z,x))) * K(x \ 1,x) = (x \ 1) / a(y,z,x).
(1 / (x * a(y,z,x))) * ((x \ 1) * x) = (x \ 1) / a(y,z,x).
(1 / (x * a(y,z,x))) * ((x \ 1) * T(x,a(y,z,x))) = (x \ 1) / a(y,z,x).
(1 / (x * a(y,z,x))) * ((x \ 1) * (a(y,z,x) \ (x * a(y,z,x)))) = (x \ 1) / a(y,z,x).
(1 / (x * a(y,z,x))) * (((x \ 1) / a(y,z,x)) * (x * a(y,z,x))) = (x \ 1) / a(y,z,x).
K(L(x,y,z) \ 1,x) \ 1 = K(x,L(x,y,z) \ 1).
a(x \ 1,x,L(x,y,z) \ 1) \ 1 = K(x,L(x,y,z) \ 1).
x / a(y \ 1,y,L(y,z,u) \ 1) = x * K(y,L(y,z,u) \ 1).
K(L(x,y,z),L(x,y,z) \ 1) = K(x,L(x,y,z) \ 1).
K(x,L(x,y,z) \ 1) = K(L(x,y,z),L(x,y,z) \ 1).
(1 / (1 / L(x,y,z))) \ L(x,y,z) = K(x,L(x,y,z) \ 1).
(1 / (1 / L(x,y,z))) \ (x / a(z,y,x)) = K(x,L(x,y,z) \ 1).
(1 / (1 / L(x,y,z))) \ (x / (x / L(x,y,z))) = K(x,L(x,y,z) \ 1).
K(x \ 1,x) * ((((1 / x) \ y) / y) \ 1) = (((x \ 1) \ y) / y) \ 1.
K(x \ 1,x) * ((((1 / x) \ y) / y) \ 1) = (x \ 1) / (x * (y / (x * y))).
(x \ 1) / (x * (y / (x * y))) = K(x \ 1,x) * ((((1 / x) \ y) / y) \ 1).
(x \ 1) / ((((1 / x) \ y) / y) * (1 / x)) = K(x \ 1,x) * ((((1 / x) \ y) / y) \ 1).
x \ (x / (((y \ z) / z) * y)) = y \ (((y \ z) / z) \ 1).
x * (y \ (((y \ z) / z) \ 1)) = x / (((y \ z) / z) * y).
x / (((y \ z) / z) * y) = x * (y \ (((y \ z) / z) \ 1)).
(x / (y / (z * y))) * K(z,z \ 1) = x / (((y / (z * y)) \ 1) \ 1).
K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1).
K(x,x \ 1) = K((y / (x * y)) \ 1,y / (x * y)).
K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y,y \ 1).
1 / (((x \ y) / y) * x) = x \ (((x \ y) / y) \ 1).
x \ (((x \ y) / y) \ 1) = 1 / (((x \ y) / y) * x).
x * (y / ((1 / z) * y)) != z \ (y / ((1 / z) * y)) | x = 1 / z.
(x \ 1) / (x * (y / (x * y))) = (((x \ 1) \ y) / y) \ 1.
x / (((x \ y) / y) * x) = ((x \ y) / y) \ 1.
(((x \ y) / y) \ 1) \ x = ((x \ y) / y) * x.
x / (((y \ z) / z) * (z / (y \ z))) = x * (y \ (((y \ z) / z) \ 1)).
(x \ (((x \ y) / y) \ 1)) * z = (((x \ y) / y) * x) \ z.
(x \ y) \ ((1 / x) * y) = x \ (((x \ y) / y) \ 1).
x \ (((x \ y) / y) \ 1) = (x \ y) \ ((1 / x) * y).
a(x \ 1,x,x \ y) \ 1 = x \ (((x \ y) / y) \ 1).
x \ (((x \ y) / y) \ 1) = a(x \ 1,x,x \ y) \ 1.
x \ ((y / (x * y)) \ 1) = a(x \ 1,x,y) \ 1.
x \ ((y / (x * y)) \ 1) = a(1 / x,x,y) \ 1.
(((x \ y) / (x * (x \ y))) \ 1) \ x = ((x \ y) / y) * x.
((x / (y * x)) \ 1) * a(1 / y,y,x) = y.
((x / (y * x)) \ 1) \ y = a(1 / y,y,x).
(1 / (1 / x)) * (y / (x * y)) = ((y / (x * y)) \ 1) \ x.
((x / (y * x)) \ 1) \ y = (1 / (1 / y)) * (x / (y * x)).
K(x \ 1,x) * (x * (y / (x * y))) = ((y / (x * y)) \ 1) \ x.
K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y \ 1,y) \ 1.
K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y).
(1 / (1 / (1 / (x / (y * x))))) * R(1 / y,y,x) = K(y \ 1,y).
K(x \ 1,x) = (1 / (1 / (1 / (y / (x * y))))) * R(1 / x,x,y).
K(R(1 / x,x,y),R(1 / x,x,y) \ 1) = K(x \ 1,x).
K(x,x \ 1) * (1 / a(x \ 1,x,y)) = (R(1 / x,x,y) \ 1) * (1 / x).
K(x,a(y,z,u) \ 1) * (u * (a(y,z,u) * w)) = a(y,z,T(u,u \ x)) * (u * w).
(x * K(a(y,z,u),w)) \ v5 = K(w,a(y,z,u)) * (x \ v5).
((x / y) * K(a(z,u,w),v5)) \ x = K(v5,a(z,u,w)) * y.
x / (K(y,a(z,u,w)) * v5) = (x / v5) * K(a(z,u,w),y).
(x / y) * K(a(z,u,w),v5) = x / (K(v5,a(z,u,w)) * y).
x * a(y,z,u) != w / (T(a(y,z,u),v5) \ v6) | x = w / (K(v5,a(y,z,u)) * v6).
K(a(x,y,z),(x * (y * z)) / z) = K(x * y,a(x,y,z) \ 1).
K(x,a(y,z,u) \ 1) * (a(y,z,u) * w) = a(y,z,T(u,u \ x)) * w.
a(x,y,T(z,z \ u)) * w = K(u,a(x,y,z) \ 1) * (a(x,y,z) * w).
K(x,a(y,z,u) \ 1) * a(y,z,u) = a(y,z,T(u,u \ x)).
T(x,a(y,z,u)) * (K(a(y,z,u),x) * w) = x * w.
((x / y) * K(a(z,u,w),v5)) * a(z,u,w) = x / (T(a(z,u,w),v5) \ y).
(x * K(y,a(z,u,w))) * (K(a(z,u,w),y) * v5) = x * v5.
x * y = (x * K(z,a(u,w,v5))) * (K(a(u,w,v5),z) * y).
(x * K(a(y,z,u),w)) * v5 = x * (K(a(y,z,u),w) * v5).
L(x,K(a(y,z,u),w),v5) = x.
(x * K(y,a(z,u,w) \ 1)) * v5 = x * (K(y,a(z,u,w) \ 1) * v5).
L(x,K(y,a(z,u,w) \ 1),v5) = x.
a(x,y,z) \ a(x,y,(z \ u) \ u) = K(u,a(x,y,z) \ 1).
x / K(x,a(y,z,u) \ 1) = x * K(a(y,z,u) \ 1,x).
x \ T(x,a(y,z,u) \ x) = K(x,a(y,z,u) \ 1).
x * K(x,a(y,z,u) \ 1) = T(x,a(y,z,u) \ x).
a(x,y,z) \ ((a(x,y,z) \ u) \ u) = K(u,a(x,y,z) \ 1).
K(x,a(y,z,u) \ 1) * a(y,z,u) = T(a(y,z,u),a(y,z,u) \ x).
x / K(x,a(y,z,u) \ 1) = (a(y,z,u) \ x) * a(y,z,u).
K(a(x,y,z),a(x,y,z) \ u) = K(u,a(x,y,z) \ 1).
K(x,a(y,z,u) \ 1) = K(a(y,z,u),a(y,z,u) \ x).
K(a(x,y,z) * u,a(x,y,z) \ 1) = K(a(x,y,z),u).
x \ ((a(y,z,u) * x) / a(y,z,u)) = K(a(y,z,u),x).
K(x,x \ 1) * (a(x \ 1,x,y) \ 1) = (R(1 / x,x,y) \ 1) * (1 / x).
(R(1 / x,x,y) \ 1) * (x \ 1) = a(x \ 1,x,y) \ 1.
L(x,y \ ((x * y) / x),y) = x.
L(x,y \ ((x * y) / x),y) = ((x * y) / x) \ (x * y).
((x * y) / x) \ (x * y) = L(x,y \ ((x * y) / x),y).
K(a(x,y,z),a(x,y,z) \ (x * y)) = K(a(x,y,z),(x * (y * z)) / z).
L(K(x,T(y,x)),T(y,x),x) = K(x,y).
K(x,y) = L(K(x,T(y,x)),T(y,x),x).
K(a(x,y,z),T(u,a(x,y,z))) = K(a(x,y,z),u).
(T(x,T(y,x)) * T(y,x)) \ (y * x) = T(x,T(y,x)) \ x.
L(K(x,T(y,x)),T(y,x),x) = (y * x) \ (x * y).
R(T(x,y) / z,z,T(x,y) \ x) = x / (z * K(y,T(x,y))).
x / K(y,T(x,y)) = T(x,y).
K(x,T(T(y,x),z)) = T(T(y,z),x) \ T(y,z).
R(R(1 / T(x,y),T(x,y),T(x,y) \ x),x,y) = T(y,T(x,y)) / (x * y).
K(x,T(y,x)) = T(y,x) \ y.
T(x,y) \ x = K(y,T(x,y)).
x * y != T(y,z) | x = K(y,z).
((x * y) / x) \ (y * T(x,y)) = L(x,y \ ((x * y) / x),y).
(T(x,y) \ x) * y = T(y,T(x,y)).
T(x,T(y,x)) = (T(y,x) \ y) * x.
T(a(x,y,z),R(u,u \ 1,a(x,y,z))) = K(a(x,y,z),u) * a(x,y,z).
K(a(x,y,z),u) * a(x,y,z) = T(a(x,y,z),R(u,u \ 1,a(x,y,z))).
T(x,R(y,y \ 1,x)) = T(x,y).
T(x,R(y,y \ 1,x)) = T(x,(y \ 1) \ 1).
T(x,(y / x) \ 1) = T(x,x / y).
T(x,x / y) = T(x,(y / x) \ 1).
T(x \ y,(x \ y) / y) = T(x \ y,x \ 1).
T(x,x / (y * x)) = T(x,y \ 1).
T(x,y \ 1) = T(x,x / (y * x)).
T(x,((x / (y * x)) \ 1) \ 1) = T(x,y \ 1).
T(x,R(y \ 1,y,x)) = T(x,y \ 1).
x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)).
(R(1 / x,x,y) \ 1) * (x \ 1) = (x \ 1) / R(x \ 1,x,y).
T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)).
T(x,R(y \ 1,y,z)) = T(x,R(1 / y,y,z)).
K(R(1 / x,x,y),R(1 / x,x,y) \ 1) = R(x \ 1,x,y) / (y / (x * y)).
1 / R(x \ 1,x,y) = R(1 / x,x,y) \ 1.
(x \ 1) / (((y / (x * y)) \ 1) \ 1) = a(x \ 1,x,y) \ 1.
a(x,y,R(z \ 1,z,u)) = a(x,y,u / (z * u)).
(R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y).
R(x \ 1,x,y) = (R(1 / x,x,y) \ 1) \ 1.
R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1.
((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x).
T((a(x,y,z / u) * u) / z,L(z / u,y,x)) = (((a(x,y,z / u) * u) / z) \ 1) \ 1.
T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1.
T(x / y,y / x) = ((x / y) \ 1) \ 1.
(x / y) \ ((y / x) * (x / y)) = ((y / x) \ 1) \ 1.
(x / y) \ (((y / x) \ 1) \ (x / y)) = ((y / x) \ 1) \ 1.
(x / y) \ ((((1 / (y / x)) \ 1) \ 1) \ (x / y)) = ((y / x) \ 1) \ 1.
(x / y) \ ((((1 / (y / x)) \ 1) \ 1) \ (x / y)) = T(y / x,1 / (y / x)).
T(x / y,1 / (x / y)) = (y / x) \ ((((1 / (x / y)) \ 1) \ 1) \ (y / x)).
a(x \ 1,x,L(x,y,z) \ 1) = K(L(x,y,z) \ 1,x).
K(L(x,y,z) \ 1,x) = a(x \ 1,x,L(x,y,z) \ 1).
K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x).
(L(x,y,z) \ 1) * L(x,y,z) = K(L(x,y,z) \ 1,x).
(L(x,y,z) \ 1) * ((a(z,y,x) / x) \ 1) = K(L(x,y,z) \ 1,x).
(L(x,y,z) \ 1) * (((L(x,y,z) \ x) / x) \ 1) = K(L(x,y,z) \ 1,x).
(L(x,y,z) \ 1) * (((L(x,y,z) \ x) / x) \ 1) = a(L(x,y,z),L(x,y,z) \ 1,x) \ 1.
(L(x,y,z) \ 1) * (((L(x,y,z) \ x) / x) \ 1) = ((L(x,y,z) \ x) / x) \ (L(x,y,z) \ 1).
((L(x,y,z) \ x) / x) \ (L(x,y,z) \ 1) = (L(x,y,z) \ 1) * (((L(x,y,z) \ x) / x) \ 1).
a(x,y,z) \ (T(z,u) \ z) = T(z,u) \ L(z,y,x).
L(x,y,z) * (T(x,u) \ 1) = T(x,u) \ L(x,y,z).
T(x,y) \ L(x,z,u) = L(x,z,u) * (T(x,y) \ 1).
(T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u).
(T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(T(x,1),z,u).
T(x,y) \ L(T(x,1),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u).
a(x,y,a(y,z,z \ 1) * u) = a(x,R(y,z,z \ 1),u).
a(x,R(y,z,z \ 1),u) = a(x,y,a(y,z,z \ 1) * u).
(x * (R(y,z,z \ 1) * u)) \ ((x * R(y,z,z \ 1)) * u) = a(x,y,a(y,z,z \ 1) * u).
(x \ (x / y)) \ L(z,y,y \ 1) = ((x \ (x / y)) \ 1) * z.
L(x,(y \ (y / z)) \ 1,y \ (y / z)) = L(x,z,z \ 1).
((x \ 1) / (x \ ((y * x) / y))) * (((y * x) / y) / x) = T(1 / x,(y * x) / y).
((1 * (x \ 1)) / (x \ ((y * x) / y))) * (((y * x) / y) / x) = T(1 / x,(y * x) / y).
(x \ (y / (x \ 1))) / (y / (x \ 1)) = R(1 / x,x,y).
(((1 / x) \ 1) \ (y / (x \ 1))) / (y / (x \ 1)) = R(1 / x,x,y).
R(x,y \ z,z \ y) * K(y \ z,z \ y) = (x * (y \ z)) * (1 / (y \ z)).
R(x,y \ z,z \ y) * K(y \ z,z \ y) = (x * (((y \ z) \ 1) \ 1)) * ((y \ z) \ 1).
L(x,(y \ (y / z)) \ 1,y \ (y / z)) = L(x,z,(y \ (y / ((z \ 1) \ 1))) * a(y,z \ 1,z)).
(x \ 1) * ((a(y,z,x) * ((x \ 1) \ u)) / a(y,z,x)) = x \ ((x * (a(y,z,x) * u)) / a(y,z,x)).
(x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y).
x \ ((y * (x * z)) / y) = (x \ 1) * ((y * ((x \ 1) \ z)) / y).
((x * (y * K(z,z \ 1))) / x) / ((z \ 1) \ 1) = z \ ((x * (z * (y / z))) / x).
((x * (y * ((z \ 1) \ 1))) / x) / ((z \ 1) \ 1) = z \ ((x * (z * y)) / x).
((x * (y * ((z \ 1) \ 1))) / x) / ((z \ 1) \ 1) = z \ ((x * (1 \ (z * y))) / x).
x \ ((y * (1 \ (x * z))) / y) = ((y * (z * ((x \ 1) \ 1))) / y) / ((x \ 1) \ 1).
R(1 / ((x * y) / x),(x * y) / x,y \ 1) * (((x * y) / x) / y) = T(1 / y,(x * y) / x).
a(((x \ y) \ z) \ 1,(x \ y) \ z,u) = a((y \ (x * z)) \ 1,y \ (x * z),u).
a((x \ (y * z)) \ 1,x \ (y * z),u) = a(((y \ x) \ z) \ 1,(y \ x) \ z,u).
(x / a(y,z,u)) / (u \ 1) = x / (L(u,z,y) \ 1).
x * L(a(x,y,y \ 1) \ y,z,u) = (x / a(u,z,y)) / (y \ 1).
x * L(a(x,y,y \ 1) \ y,z,u) = (x * (a(u,z,y) \ 1)) / (y \ 1).
(x * (a(y,z,u) \ 1)) / (u \ 1) = x * L(a(x,u,u \ 1) \ u,z,y).
(x * ((y \ 1) * L((y \ 1) \ 1,z,u))) / (y \ 1) = x * L(a(x,y,y \ 1) \ y,z,u).
L((((x / y) * (y / x)) * z) / (y / x),y / x,x / y) = ((y / x) * ((x / y) * z)) / (y / x).
((x / y) * ((y / x) * z)) / (x / y) = L((((y / x) * (x / y)) * z) / (x / y),x / y,y / x).
(1 / (x / y)) \ ((y / x) * z) = ((y / x) * (x / y)) * z.
(1 / (x / y)) * (((y / x) * (x / y)) * z) = (y / x) * z.
(x / y) * z = (1 / (y / x)) * (((x / y) * (y / x)) * z).
R(1 / x,x,((x * y) \ x) * y) = (((x * y) \ x) * y) / ((x / (1 / y)) / y).
x * (((x * y) \ x) * y) = (x / (1 / y)) / y.
L(x \ 1,x,((x * y) \ x) * y) = ((x / (1 / y)) / y) \ (((x * y) \ x) * y).
(((x * y) \ x) * y) * x = (x / (1 / y)) / y.
x * (L(y \ 1,y,x) * y) = (x / (1 / y)) / y.
(x / (1 / y)) / y = x * (L(y \ 1,y,x) * y).
(L(x \ 1,x,y) * x) * y = (y / (1 / x)) / x.
(x / (1 / y)) / y = (L(y \ 1,y,x) * y) * x.
x / a(x * y,y \ 1,y) = (x / (1 / y)) / y.
a(x * y,y \ 1,y) \ x = (x / (1 / y)) / y.
a(x / (1 / y),y \ 1,y) = a(x * y,y \ 1,y).
a(x / (1 / y),y \ 1,y) = a(x / (y \ 1),y \ 1,y).
a(x / (y \ 1),y \ 1,y) = a(x / (1 / y),y \ 1,y).
a(x / (1 / y),1 / y,y) = a(x / (y \ 1),y \ 1,y).
a(x / (y \ 1),y \ 1,y) = a(x / (1 / y),1 / y,y).
a(x / (1 / y),1 / y,T(y,y \ 1)) = a(x / (y \ 1),y \ 1,y).
a(x / (1 / y),1 / y,T(y,y \ 1)) = a(x / (y \ 1),1 / y,y).
a(x / (1 / y),1 / y,T(y,y \ 1)) = (x / (y \ 1)) \ (x * T(y,y \ 1)).
(x / (y \ 1)) \ (x * T(y,y \ 1)) = a(x / (1 / y),1 / y,T(y,y \ 1)).
R(1 / x,(1 / x) \ 1,K(x,x \ 1) * y) = R(1 / x,x,y).
R(1 / x,x,y) = R(1 / x,(1 / x) \ 1,K(x,x \ 1) * y).
R(x,1 / (1 / y),K(y,y \ 1) * z) = R(x,y,z).
R(x,y,z) = R(x,1 / (1 / y),K(y,y \ 1) * z).
R(x,1 / (1 / y),K(y,y \ 1) * z) = ((x * y) * z) / (y * z).
((x * y) * z) / (y * z) = R(x,1 / (1 / y),K(y,y \ 1) * z).
a((x * (1 / y)) / x,y,y \ 1) = ((x * (1 / y)) / x) \ ((x * (y \ 1)) / x).
a((x * (1 / y)) / x,y,y \ 1) = ((x * (1 / y)) / x) \ ((x * ((y \ 1) / 1)) / x).
((x * (1 / y)) / x) \ ((x * ((y \ 1) / 1)) / x) = a((x * (1 / y)) / x,y,y \ 1).
R(x,y * a(z,u,w),K(a(z,u,w),y)) = x.
(x * (y * a(z,u,w))) * K(a(z,u,w),y) = x * (a(z,u,w) * y).
x * (a(y,z,u) * w) = (x * (w * a(y,z,u))) * K(a(y,z,u),w).
K(x * a(y,z,u),a(y,z,u) \ 1) = K(a(y,z,u),x).
K(a(x \ 1,x,x \ y),z) = T(z,((x \ y) / y) * x) \ z.
T(x,((y \ z) / z) * y) \ x = K(a(y \ 1,y,y \ z),x).
T(x,a(y,z,u)) \ x = K(a(y,z,u),x).
T(x * y,a(z,u,w)) \ (y * x) = K(a(z,u,w),x * y) * K(y,x).
K(a(x,y,z),u * w) * K(w,u) = T(u * w,a(x,y,z)) \ (w * u).
T(x,a(y,z,u)) \ (w * x) = K(a(y,z,u),x) * T(w,x).
K(a(x,y,z),u) * T(w,u) = T(u,a(x,y,z)) \ (w * u).
K(a(x,y,z),u) * (u \ w) = T(u,a(x,y,z)) \ w.
K(a(x,y,z),u) * (T(u,a(x,y,z)) / a(w,v5,v6)) = u / a(w,v5,v6).
(x / (x * a(y,z,u))) * a(y,z,u) = K(a(y,z,u),x).
K(a(x,y,z),u) \ u = T(u,a(x,y,z)).
x * (T(x,a(y,z,u)) \ w) = K(a(y,z,u),x) * w.
K(a(x,y,z),u) * w = u * (T(u,a(x,y,z)) \ w).
x / T(x,a(y,z,u)) = K(a(y,z,u),x).
K(a(x,y,z),u) = u / T(u,a(x,y,z)).
x * (y * a(y,z,u)) != w * a(y,z,u) | x = w / y.
K(a(x,y,z),u) * (T(u,a(x,y,z)) * w) = u * w.
(x / K(a(y,z,u),w)) * (w * v5) = x * (T(w,a(y,z,u)) * v5).
(x * K(y,a(z,u,w))) * (y * v5) = x * (T(y,a(z,u,w)) * v5).
K(x,a(y,z,u)) * (x * w) = T(x,a(y,z,u)) * w.
x * y != T(x,z) * (x * u) | y = T(x,z) * u.
x * (K(x,a(y,z,u)) * w) = T(x,a(y,z,u)) * w.
T(x,a(y,z,u)) * w = x * (K(x,a(y,z,u)) * w).
(x * y) / (x * L(y,z,u)) = a(u,z,y) * K(x * L(y,z,u),a(u,z,y)).
a(x,y,z) * K(x * (y * z),a(x,y,z)) = ((x * y) * z) / (x * (y * z)).
((x * y) * z) / (x * (y * z)) = a(x,y,z) * K(x * (y * z),a(x,y,z)).
(x / (y * a(z,u,w))) * (a(z,u,w) * y) = x * K(a(z,u,w),y).
(x / y) * K(a(z,u,w),y) = x / T(y,a(z,u,w)).
(x / T(y,a(z,u,w))) * y = x * K(a(z,u,w),y).
x * K(a(y,z,u),w) = (x / T(w,a(y,z,u))) * w.
(x * T(y,a(z,u,w))) * K(a(z,u,w),y) = x * y.
(x * y) * K(y,a(z,u,w)) = x * T(y,a(z,u,w)).
(x * a(y,z,u)) / x = a(y,z,u) * K(x,a(y,z,u)).
(x * T(y,a(z,u,w))) / y = x * K(y,a(z,u,w)).
(x * K(y,a(z,u,w))) * v5 = x * (K(y,a(z,u,w)) * v5).
L(x,K(y,a(z,u,w)),v5) = x.
L(x,K(a(y,z,u) \ 1,w),v5) = x.
L(x,y \ (a(z,u,w) \ y),v5 * a(z,u,w)) = L(x,K(a(z,u,w) \ 1,y),v5).
L(x,K(a(y,z,u) \ 1,w),v5) = L(x,w \ (a(y,z,u) \ w),v5 * a(y,z,u)).
(x * y) * T((x * y) \ ((x \ 1) \ y),z) = x * (y * T(x * (y / (x * y)),z)).
x \ (y \ ((y \ 1) \ x)) = y * (x / (y * x)).
((x \ 1) * ((x \ 1) \ y)) \ (x \ ((x \ 1) \ y)) = x * (y / (x * y)).
((x \ 1) * ((x \ 1) \ y)) \ (x \ ((x \ 1) \ y)) = (x * y) \ ((x \ 1) \ y).
((x \ 1) * ((x \ 1) \ y)) \ (x \ ((x \ 1) \ y)) = (x * y) \ (1 * ((x \ 1) \ y)).
a(x,y,z) \ ((u \ (a(x,y,z) \ 1)) * a(x,y,z)) = u \ T(a(x,y,z) \ 1,u \ 1).
(L(K(x \ 1,x),y,z) * z) \ (z * (K(x \ 1,x) * y)) = L(y,z,L(K(x \ 1,x),y,z)).
(L(K(x \ 1,x),y,z) * z) \ (z * (K(x \ 1,x) * y)) = L(y,z,R(K(x \ 1,x),z,y)).
(L(K(x \ 1,x),y,z) * z) \ ((z * K(x \ 1,x)) * y) = L(y,z,R(K(x \ 1,x),z,y)).
R(K(x,x \ 1) / x,1 / (1 / x),y) = T(y,x) / (y * (1 / (1 / x))).
(x \ 1) * y != (1 / x) * (z \ ((1 / x) \ z)) | ((x \ 1) * (x * z)) \ (x * z) = y.
(1 / x) * (y \ ((1 / x) \ y)) != (x \ 1) * z | ((x \ 1) * (x * y)) \ (x * y) = z.
(x \ 1) * (((x \ 1) * (x * y)) \ (x * y)) = (1 / x) * (y \ ((1 / x) \ y)).
(x \ 1) * (((x * (y / (x * y))) \ y) \ (x * y)) = (1 / x) * (y \ ((1 / x) \ y)).
(x \ 1) * (((x * (y / (x * y))) \ y) \ z) = (1 / x) * (L(y,x,x \ 1) \ z).
K(x,(y * x) \ y) = K(x,x \ 1).
K(x,y \ (y / x)) = K(x,x \ 1).
K(x,x \ 1) = K(x,y \ (y / x)).
((x \ (x / y)) * z) * u != (1 / (1 / (x \ (x / y)))) * z | u = K(y,x \ (x / y)).
((x \ (x / y)) * y) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * y.
(1 / (1 / (x \ (x / y)))) * y = (x \ (x / y)) * ((y \ 1) \ 1).
(x \ (x / y)) * ((y \ 1) \ 1) = (1 / (1 / (x \ (x / y)))) * y.
(1 / (1 / (x \ (x / y)))) * y = y * (x \ (x / y)).
T(R(x,y,z) * ((1 / R(x,y,z)) * x),R(x,y,z) \ 1) = ((R(x,y,z) \ 1) \ 1) * (R(x,y,z) \ x).
T(x * ((1 / x) * y),x \ 1) = ((x \ 1) \ 1) * (y * (x \ 1)).
((x \ 1) \ 1) * (y * (x \ 1)) = T(x * ((1 / x) * y),x \ 1).
T(x * ((1 / x) * y),x \ 1) = x * (y * (1 / x)).
T((((x \ y) / y) * x) \ y,x \ 1) = x * (y * (1 / x)).
T(x * K(y,y \ 1),K(y \ 1,y) * z) = K(y,y \ 1) * T(x,z).
T(x,y * K(z \ 1,z)) * K(z \ 1,z) = T(x * K(z \ 1,z),y).
T(x \ 1,K(x,x \ 1) * y) = T(1 / x,y) * K(x \ 1,x).
T(x \ 1,K(x,x \ 1) * y) = K(x \ 1,x) * T(1 / x,y).
K(x \ 1,x) * T(1 / x,y) = T(x \ 1,K(x,x \ 1) * y).
K(x \ 1,x) * T(y * T(x,x \ 1),z) = (x \ T(x * y,z)) * x.
(x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x).
x * K(y \ 1,x * y) = (y \ 1) * (x / (y \ 1)).
L(1 / x,x,y) * (y * (1 / (1 / x))) = y * K(x \ 1,y * x).
L(T(x,y) \ 1,T(x,y),x * (T(x,y) \ y)) = (x * y) \ y.
a(x,y,y \ 1) \ T(x,y) = y \ (x / (y \ 1)).
((1 / (x \ (x / y))) * R(z,y,y \ (1 / (x \ (x / y))))) / a(y \ x,y,y \ 1) = (((1 / (x \ (x / y))) * z) / (1 / (x \ (x / y)))) * y.
((x \ y) * x) * (y \ (y / x)) = x \ y.
(x * y) * L(x \ 1,x,y) = (x * y) / x.
a(x \ y,x,x \ 1) = x \ (1 / (y \ (y / x))).
x \ (1 / (y \ (y / x))) = a(x \ y,x,x \ 1).
((x \ y) * x) \ (x \ y) = y \ (y / x).
x \ (x / y) = ((y \ x) * y) \ (y \ x).
L((x \ y) \ 1,x \ y,T(x,x \ y)) = y \ (y / (x \ y)).
L(T(x,y) \ 1,T(x,y),T(x,y) \ (x * y)) = (x * y) \ y.
x * L(y \ 1,y,y \ x) = x / y.
(x * y) \ ((x * y) / x) = L(x \ 1,x,y).
L(x \ 1,x,y) = (x * y) \ ((x * y) / x).
x * L(y \ 1,y,y \ z) = x * (z \ (z / y)).
L(x \ 1,x,x \ y) = y \ (y / x).
L(x \ 1,x,y / x) = L(x \ 1,x,x \ y).
L(x \ 1,x,x \ y) = L(x \ 1,x,y / x).
L(x \ 1,x,T(y,x)) = L(x \ 1,x,y).
x * y != a(z,u,x \ 1) \ 1 | y = L(x \ 1,u,z).
x * L(x \ 1,x,T(y,x)) = a(y,x,x \ 1) \ 1.
a(x,y,y \ 1) \ 1 = y * L(y \ 1,y,T(x,y)).
a(x / y,y,y \ 1) = a(y \ x,y,y \ 1).
a(x \ y,x,x \ 1) = a(y / x,x,x \ 1).
a(x,y,y \ 1) \ T(x,y) = (T(x,y) / (y \ 1)) / y.
a(T(x,y),y,y \ 1) = a(x,y,y \ 1).
a(x,y,y \ 1) = a(T(x,y),y,y \ 1).
a(T(x,y),(y \ 1) \ 1,y \ 1) = a(x,y,y \ 1).
a(T(x,y),(y \ 1) \ 1,y \ 1) = y / (a(x,y,y \ 1) \ y).
T(x,y) \ (T(x,y) / (y \ 1)) = a(x,y,y \ 1) \ y.
a(x,y,y \ 1) \ y = T(x,y) \ (T(x,y) / (y \ 1)).
a(T(x,y),y,y \ 1) \ y = a(x,y,y \ 1) \ y.
R(x,y,y \ 1) \ (x * y) = a(T(x,y),y,y \ 1) \ y.
a(T(x,y),y,y \ 1) \ y = R(x,y,y \ 1) \ (x * y).
a(T(x,y),y,y \ 1) \ y = ((x * y) * (y \ 1)) \ (x * y).
((x * y) * (y \ 1)) \ (x * y) = a(T(x,y),y,y \ 1) \ y.
((x * y) * (y \ 1)) \ (x * y) = y / a(T(x,y),y,y \ 1).
(x * y) / R(T(x,y),y,y \ 1) = ((x * y) * (y \ 1)) \ (x * y).
(x \ 1) * (((x * (y / (x * y))) \ y) \ z) = (1 / x) * (((1 / x) * (x * y)) \ z).
(1 / x) * (((1 / x) * (x * y)) \ z) = (x \ 1) * (((x * (y / (x * y))) \ y) \ z).
((x \ (x / y)) * z) * K(y,x \ (x / y)) = (1 / (1 / (x \ (x / y)))) * z.
R(K(x \ 1,x),y,z) = L(K(x \ 1,x),z,y).
L(K(x \ 1,x),y,z) = R(K(x \ 1,x),z,y).
L(T(K(x \ 1,x),y),y,z) = R(K(x \ 1,x),z,y).
R(K(x \ 1,x),y,z) = L(T(K(x \ 1,x),z),z,y).
R(K(x,x \ 1),y,z) = L(K(x,x \ 1),z,y).
L(K(x,x \ 1),y,z) = R(K(x,x \ 1),z,y).
L(T(K(x,x \ 1),y),y,z) = R(K(x,x \ 1),z,y).
R(K(x,x \ 1),y,z) = L(T(K(x,x \ 1),z),z,y).
K(a(x,y,z),(u \ 1) \ 1) = K(a(x,y,z),u).
(x * y) \ (x * (K(z \ 1,z) * y)) = R(K(z \ 1,z),x,y).
(x * y) \ (x * (K(z,z \ 1) * y)) = R(K(z,z \ 1),x,y).
a(x,y,z) / ((z \ 1) \ 1) = (z \ 1) * a(x,y,z).
K(x,y) * (a(x,x \ 1,K(x,y)) / x) = (1 / (1 / x)) \ K(x,y).
a(x,x \ 1,y) * (1 / x) = a(x,x \ 1,y) / x.
a(x,y,z) / ((z \ 1) \ 1) = T(1 / z,z) * a(x,y,z).
((x * y) \ z) * K(x,x \ 1) = ((1 / (1 / x)) * y) \ z.
((1 / (1 / x)) * y) \ z = ((x * y) \ z) * K(x,x \ 1).
T(K((1 / (1 / x)) * y,K(x,x \ 1) * ((x * y) \ 1)),z) = K((1 / (1 / x)) * y,((1 / (1 / x)) * y) \ 1).
(1 / x) * (((1 / x) * y) \ z) = (x \ 1) * (((x \ 1) * y) \ z).
K(x,x \ 1) * T(y * K(x \ 1,x),z) = T(y,z * K(x \ 1,x)).
((x \ 1) \ 1) * R(y,x,x \ 1) = R(x * y,x \ 1,x).
(1 / (1 / x)) * (y \ (y / x)) = (y \ (y / x)) * x.
x * (K(y,y \ 1) * z) != u * z | K(y \ 1,y) * u = x.
x * y != z * (K(u,u \ 1) * y) | K(u \ 1,u) * x = z.
L(1 / x,x,y) * (y * (1 / (1 / x))) = (x \ 1) * (y / (x \ 1)).
K(x \ 1,x) * (y \ ((1 / x) * y)) = T(x \ 1,K(x,x \ 1) * y).
T((((x \ y) / y) * x) \ y,x \ 1) = x * (y * (K(x,x \ 1) * (x \ 1))).
T(x * K(y,y \ 1),K(y \ 1,y) * z) = K(y,y \ 1) * (z \ (x * z)).
(K(x \ 1,x) * y) * (K(x,x \ 1) * z) = y * z.
R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = (x / z) * K(y,y \ 1).
((((x * y) * z) * K(u \ 1,u)) / (y * z)) * K(u,u \ 1) = R(R(x,y,z),y * z,K(u \ 1,u)).
K(x \ 1,x) * T(y * ((x \ 1) \ 1),z) = (x \ T(x * y,z)) * x.
(x \ T(x * y,z)) * x = K(x \ 1,x) * T(y * ((x \ 1) \ 1),z).
R(1 / x,(1 / x) \ 1,K(x,x \ 1) * y) = (((1 / x) \ 1) \ (y / (x \ 1))) / (y / (x \ 1)).
((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1).
x * T(y,y \ 1) = ((y \ 1) \ 1) * T(x,y).
(x / T(y,y \ 1)) * y = K(y \ 1,y) * x.
(x * y) / T(R(x,y,y \ 1),y) = ((x * y) * (y \ 1)) \ (x * y).
a(x,y,z) \ T(a(x,y,z),u) = K(a(x,y,z),(u \ 1) \ 1).
K(K(x,y),x \ 1) = 1.
R(K(x,x \ 1) / x,1 / (1 / x),y) = T(y,(1 / x) \ 1) / (y * (1 / (1 / x))).
x / L(T(y,z \ 1),1 / z,x / (y * (1 / z))) = (x / (y * (1 / z))) * (1 / z).
T(x,(y \ 1) \ 1) = T(x,y).
T(x,y) = T(x,(y \ 1) \ 1).
a(x,x \ 1,y) * (1 / x) = (1 / x) * a(x,x \ 1,y).
(1 / x) * a(x,x \ 1,y) = a(x,x \ 1,y) * (1 / x).
T(K(x,y),x \ 1) = K(x,y).
(1 / x) * y != K(x,z) * (1 / x) | y = K(x,z).
T(x,1 / y) = T(x,y \ 1).
(1 / x) * T(y,x \ 1) = y * (1 / x).
x * (1 / y) = (1 / y) * T(x,y \ 1).
(x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x.
K(x,x \ 1) * y = (y / (x \ 1)) * (1 / x).
K(x,x \ 1) * (y * x) = y * T(x,x \ 1).
K(x,y) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z.
((x \ 1) * T(x,y)) * z = K(x,y) * (K(x \ 1,x) * z).
K(x \ 1,x) / L(x,y,z) = a(z,y,x) / ((x \ 1) \ 1).
a(x,y,z) / ((z \ 1) \ 1) = K(z \ 1,z) / L(z,y,x).
(((x \ 1) \ 1) * y) / ((x \ 1) \ 1) = (x * y) / x.
(x * y) / x = (((x \ 1) \ 1) * y) / ((x \ 1) \ 1).
(1 / (1 / x)) * (y \ (y / x)) = a(y,x \ 1,x) \ 1.
((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z.
K(x,x \ 1) * ((x * y) \ z) = ((1 / (1 / x)) * y) \ z.
((1 / (1 / x)) * y) \ z = K(x,x \ 1) * ((x * y) \ z).
L(1 / x,y,z) * (u * (1 / (1 / x))) = L(x \ 1,y,z) * (u * x).
(1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)).
x * (1 / (1 / y)) = (1 / (1 / y)) * T(x,y).
(x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x.
K(x \ 1,x) * y = (y / ((x \ 1) \ 1)) * x.
(x \ 1) * (y * ((x \ 1) \ 1)) = (1 / x) * (y * x).
(1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)).
(x \ 1) * (y / (x \ 1)) = (1 / x) * (y / (1 / x)).
((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)).
x * (y * (1 / x)) = ((x \ 1) \ 1) * (y * (x \ 1)).
(1 / (1 / x)) * (y * (1 / x)) = x * (y * (x \ 1)).
((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1).
K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z.
((1 / x) * y) \ z = K(x \ 1,x) * (((x \ 1) * y) \ z).
((x \ 1) \ 1) * ((((x \ 1) \ 1) * y) \ z) = x * ((x * y) \ z).
((1 / (1 / (x * y))) * (y \ (x \ 1))) \ a(x,y,y \ (x \ 1)) = K(x * y,(x * y) \ 1).
K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x).
K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1).
(((x * y) * K(z,z \ 1)) / y) \ (K(z,z \ 1) * x) = a(K(z,z \ 1),x,y).
a(K(x,x \ 1),y,z) = (((y * z) * K(x,x \ 1)) / z) \ (K(x,x \ 1) * y).
(K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z).
(K(x,x \ 1) * y) * z = y * (K(x,x \ 1) * z).
(x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y.
x \ (K(y,y \ 1) * T(x,z)) = T(x,z) * (x \ K(y,y \ 1)).
K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y).
(K(x \ 1,x) * y) / x = y / ((x \ 1) \ 1).
(x * y) * K(x \ 1,x) = (1 / (1 / x)) * y.
((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y.
(x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y.
(K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z).
K(x,x \ 1) \ y = y * K(x \ 1,x).
x \ (y * (x * K(z \ 1,z))) = T(y * K(z \ 1,z),x).
(R(K(x \ 1,x),y,z) * y) \ ((y * K(x \ 1,x)) * z) = L(z,y,R(K(x \ 1,x),y,z)).
(K(x \ 1,x) * y) * z = y * (K(x \ 1,x) * z).
(x * K(y \ 1,y)) / L(z,x / z,K(y \ 1,y)) = K(y \ 1,y) * (x / z).
(x * (K(y \ 1,y) * z)) * a(x,z,K(y \ 1,y)) = (x * z) * K(y \ 1,y).
K((x / y) \ 1,x / y) = K((y \ x) \ 1,x / y).
K((x \ y) \ 1,y / x) = K((y / x) \ 1,y / x).
K(T(x,y) \ 1,x) = K(x \ 1,x).
(x * y) \ ((K(z \ 1,z) * x) * y) = R(K(z \ 1,z),x,y).
(x * y) \ ((K(z,z \ 1) * x) * y) = R(K(z,z \ 1),x,y).
T(x,x \ 1) * R(y,x,x \ 1) = R(x * y,x \ 1,x).
R(x * y,x \ 1,x) = T(x,x \ 1) * R(y,x,x \ 1).
x / (y * K(z \ 1,z)) = (x / y) * K(z,z \ 1).
(x / y) * K(z,z \ 1) = x / (y * K(z \ 1,z)).
K(x,x \ 1) * y != z | z * K(x \ 1,x) = y.
x != K(y,y \ 1) * z | x * K(y \ 1,y) = z.
K(x,x \ 1) * (y * K(x \ 1,x)) = y.
T(K(x \ 1,x),y) = K(x \ 1,x).
(K(x,x \ 1) * y) * K(x \ 1,x) = y.
(x * (y * K(z,z \ 1))) / y = x * K(z,z \ 1).
T(x,K(y \ 1,y)) = x.
T(K(x,x \ 1),y) = K(x,x \ 1).
K(x \ 1,x) * (y * x) = y * (1 / (1 / x)).
K(x \ 1,x) * (y * ((x \ 1) \ 1)) = y * x.
T(x,K(y,y \ 1)) = x.
x = T(x,K(y,y \ 1)).
(x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y.
(1 / x) * y = (x \ 1) * (y * K(x,x \ 1)).
x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y.
((x \ 1) \ 1) * y = x * (y * K(x,x \ 1)).
(1 / (1 / x)) * (y * K(x,x \ 1)) = x * y.
x * y = (1 / (1 / x)) * (y * K(x,x \ 1)).
K(x \ 1,x) * y != z | z * K(x,x \ 1) = y.
x != K(y \ 1,y) * z | x * K(y,y \ 1) = z.
((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y.
K(x \ 1,x) * y != (1 / x) \ z | y = (x \ 1) \ z.
K(x,x \ 1) * y = y * K(x,x \ 1).
((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y.
(1 / x) * y = ((x \ 1) * y) * K(x,x \ 1).
(x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y.
((x \ 1) \ 1) * y = (x * y) * K(x,x \ 1).
K(x \ 1,x) * y = y * K(x \ 1,x).
K(x \ 1,x) * (y * K(x,x \ 1)) = y.
((1 / (1 / x)) * y) \ (x * y) = K(x,x \ 1).
x / K(y,y \ 1) = K(y \ 1,y) * x.
(K(x \ 1,x) * y) \ y = K(x,x \ 1).
(K(x \ 1,x) * y) \ (x \ (x * y)) = K(x,x \ 1).
(((x \ 1) * x) * y) \ (x \ (x * y)) = K(x,x \ 1).
K(x,x \ 1) = (((x \ 1) * x) * y) \ (x \ (x * y)).
K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1).
K(x / y,y / x) * (((x / y) \ 1) * z) = (1 / (x / y)) * z.
K(x / y,(x / y) \ 1) = K(x / y,y / x).
K(x / y,y / x) = K(x / y,(x / y) \ 1).
K(x,(x \ y) / y) = K(x,x \ 1).
K(x,x \ 1) = K(x,(x \ y) / y).
a(x \ 1,x,y) \ a(x,x \ 1,x * y) = K(x,x \ 1).
a(x \ 1,x,x \ y) \ a(x,x \ 1,y) = K(x,x \ 1).
a(x,x \ 1,y) / K(x,x \ 1) = a(x \ 1,x,x \ y).
a(x,x \ 1,y) * K(x \ 1,x) = a(x \ 1,x,x \ y).
a(x \ 1,x,x \ y) = a(x,x \ 1,y) * K(x \ 1,x).
(a(x,x \ 1,y) / x) * (1 / (1 / x)) = a(x \ 1,x,x \ y).
(a(x,x \ 1,y) / x) * (1 / (1 / x)) = a(1 / x,x,x \ y).
(a(x,x \ 1,y) / x) * (1 / (1 / x)) = (1 / (1 / x)) * R(1 / x,x,x \ y).
(1 / (1 / x)) * R(1 / x,x,x \ y) = (a(x,x \ 1,y) / x) * (1 / (1 / x)).
(x * (y * z)) / (y * T(z,y * z)) = (x / (y * T(z,y * z))) * (y * z).
(x / (y * T(z,y * z))) * (y * z) = (x * (y * z)) / (y * T(z,y * z)).
a(x,y,z \ 1) \ (u * w) != (a(x,y,z \ 1) \ u) * v5 | L(w,u,z * L(z \ 1,y,x)) = v5.
(a(x,y,z \ 1) \ u) * L(w,u,z * L(z \ 1,y,x)) = a(x,y,z \ 1) \ (u * w).
a(x,y,T(z,u)) * L(z,y,x) = L(z,y,x) * a(x,y,T(z,u)).
L(x,y,z) * a(z,y,T(x,u)) = a(z,y,T(x,u)) * L(x,y,z).
T(a(x,y,T(z,u)),L(z,y,x)) = a(x,y,T(z,u)).
T(a(x,y,T(z,u)),L(z,y,x)) = (L(z,y,x) * u) \ (z * u).
T((L(x,y,z) * u) \ (x * u),L(x,y,z)) = (L(x,y,z) * u) \ (x * u).
T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y).
T(x,y) \ T(x,z) = T(x,z) * (T(x,y) \ 1).
(T(x,y) \ 1) * T(T(x,T(x,y) \ 1),z) = T(x,y) \ T(x,z).
(T(x,y) \ 1) * T(T(x,T(x,y) \ 1),z) = T(x,y) \ T(T(x,1),z).
T(x,y) \ T(T(x,1),z) = (T(x,y) \ 1) * T(T(x,T(x,y) \ 1),z).
K(x * a(y,z,u),a(y,z,u) \ 1) = T(x,a(y,z,u)) \ x.
T(x,a(y,z,u)) \ x = K(x * a(y,z,u),a(y,z,u) \ 1).
R(x * K(y \ 1,y),z,u) * K(y,y \ 1) = K(y,y \ 1) * R(K(y \ 1,y) * x,z,u).
T(T((x * y) / x,T(x,y)) * (y \ x),(y \ x) \ T(x,y)) = T(x,y).
T(T((x * y) / x,T(x,y)) * (y \ x),T((x * y) / x,y \ x)) = T(x,y).
L(x * ((x / T(y,L(y,z,u) \ x)) \ 1),z,u) = x * ((L(y,z,u) \ x) \ 1).
L(x * ((x / y) \ 1),z,u) = x * ((x / L(y,z,u)) \ 1).
x * ((x / L(y,z,u)) \ 1) = L(x * ((x / y) \ 1),z,u).
x * (a(y,z,u) \ ((x / u) \ 1)) = L(x * ((x / u) \ 1),z,y).
L(T(x * ((x / y) \ 1),L(y,z,u)),z,u) = x * (a(u,z,y) \ ((x / y) \ 1)).
x * (a(y,z,u) \ ((x / u) \ 1)) = L(T(x * ((x / u) \ 1),L(u,z,y)),z,y).
T(x * (a(y,z,u) \ ((x / u) \ 1)),L(u,z,y)) = x * (a(y,z,u) \ ((x / u) \ 1)).
T(x * (a(y,z,u) \ ((x / u) \ 1)),L(u,z,y)) = (x / a(y,z,u)) * ((x / u) \ 1).
(x / ((y \ (y / z)) \ 1)) * z = x / a(y,z \ 1,z).
x / a(y,z \ 1,z) = (x / ((y \ (y / z)) \ 1)) * z.
L((x * y) \ 1,x * y,x \ 1) = y \ (a(x \ 1,x,y) / x).
L((x * y) \ 1,x * y,x \ 1) = y \ R(1 / x,x,y).
L((x * y) \ 1,x * y,x \ 1) = L(y,x,x \ 1) \ (1 / x).
L(x \ 1,x,1 / y) = L(x \ 1,x,y \ 1).
L(x \ 1,x,y \ 1) = L(x \ 1,x,1 / y).
a(x \ 1,y,y \ 1) \ (y \ 1) = L(y \ 1,y,1 / x).
L(x \ 1,x,1 / y) = a(y \ 1,x,x \ 1) \ (x \ 1).
a(1 / x,y,y \ 1) = a(x \ 1,y,y \ 1).
a(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1).
a((x \ 1) \ 1,y,y \ 1) = a(x,y,y \ 1).
a(x,y,y \ 1) = a((x \ 1) \ 1,y,y \ 1).
1 \ ((x \ 1) * R((x \ 1) \ 1,y,y \ 1)) = a(x,y,y \ 1).
(T((x \ 1) \ 1,y) / K(y \ (y / (x \ 1)),y)) / x = K(T(x,y),x \ 1).
R(x,y,z) \ (R((x \ 1) \ 1,y,z) * u) = R((x \ 1) \ 1,y,z) * (R(x,y,z) \ u).
R((x \ 1) \ 1,y,z) * (R(x,y,z) \ u) = R(x,y,z) \ (R((x \ 1) \ 1,y,z) * u).
(R(x,1 / L(y,z,u),y) / y) \ (x * (1 / L(y,z,u))) = a(u,z,y).
(x * y) \ (y * K(T(x,y),T(x,y) \ 1)) = (y * (1 / (1 / T(x,y)))) \ y.
a(x,y,L(y \ 1,z,u)) = a(x,y,y \ 1).
a(x,y,y \ 1) = a(x,y,L(y \ 1,z,u)).
L((x * y) \ x,z,u) \ L(y \ 1,z,u) = a(x,y,y \ 1).
L(x \ 1,y,z) \ L(u \ (u / x),y,z) = x * (u \ (u / x)).
a(x,x \ y,y \ x) * (x \ y) = 1 / (y \ x).
a(x,x \ y,y \ x) \ (x * (1 / (y \ x))) = y.
a(x,(y \ x) \ 1,y \ x) = a(x,x \ y,y \ x).
a(x,x \ y,y \ x) = a(x,(y \ x) \ 1,y \ x).
a(x,x \ (x / y),y) = a(x,y \ 1,y).
a(x,y,L(z \ 1,z,u) \ 1) = a(x,y,z).
K(x,y) * L(K(x,y) \ 1,z,u) = a(u,z,K(y,x)) \ 1.
a(x,y,K(z,u)) \ 1 = K(u,z) * L(K(u,z) \ 1,y,x).
a(x,y,K(z,u) \ 1) = a(x,y,K(u,z)).
a(x,y,K(z,u)) = a(x,y,K(u,z) \ 1).
a(L(x,y,z),x \ u,u \ x) = L(x,y,z) \ L(u * ((x \ u) \ 1),y,z).
a(x,y,z \ 1) \ (u \ (u / z)) = L(u \ (u / z),y,x).
L(x \ (x / y),z,u) = a(u,z,y \ 1) \ (x \ (x / y)).
a(x,y,T(z * u,K(u,z)) \ 1) = a(x,y,(u * z) \ K(u,z)).
a(x,y,(z * u) \ K(z,u)) = a(x,y,T(u * z,K(z,u)) \ 1).
a(x,y,L(z \ 1,z,u) \ 1) = a(x,y,u \ (u * z)).
a(x,y,z \ (z * u)) = a(x,y,L(u \ 1,u,z) \ 1).
a(x,y,(z / (1 / (z \ u))) \ ((u \ z) * (z \ u))) = a(x,y,u \ 1).
L((x * y) \ x,z,u) \ (a(u,z,y \ 1) \ (y \ 1)) = a(x,y,y \ 1).
a(x,y,(z * u) \ (u * z)) = a(x,y,K(z,u) \ 1).
a(x,y,(z \ u) \ 1) = a(x,y,u \ z).
a(x,y,z \ u) = a(x,y,(u \ z) \ 1).
x / L(L(y \ 1,y,x),z,u) = (x * y) * a(u,z,y \ 1).
(x * y) * a(z,u,y \ 1) = x / L(L(y \ 1,y,x),u,z).
a(x,y,z \ (z / u)) = a(x,y,u \ 1).
a(x,y,(z * u) \ z) = a(x,y,u \ 1).
x / L(L(y,y \ 1,x),z,u) = (x * (1 / y)) * a(u,z,y).
(x * (1 / y)) * a(z,u,y) = x / L(L(y,y \ 1,x),u,z).
a(x,y,L(z \ 1,z,u)) = a(x,y,z \ 1).
a(x,y,L(z,z \ 1,u)) = a(x,y,z).
a(x,y,L(z,z \ 1,u)) = (u / a(x,y,z)) \ u.
(x / a(y,z,u)) \ x = a(y,z,L(u,u \ 1,x)).
(x / (L(y,z,u) \ 1)) / L(y,z,u) = (x / (y \ 1)) / y.
(x / (L(y,z,u) \ 1)) / (1 / (L(y,z,u) \ 1)) = (x / (y \ 1)) / y.
(x * (1 / y)) * L(L(y,y \ 1,x),z,u) = x / a(u,z,y).
(x * (1 / y)) * L(L(y,y \ 1,x),z,u) = x * (1 / a(u,z,y)).
(x / ((y \ 1) \ 1)) / (y \ 1) = (x / y) / (1 / y).
(x / ((y \ 1) \ 1)) / (1 / ((y \ 1) \ 1)) = (x / y) / (1 / y).
R(x,y \ z,z \ y) * K(y \ z,(y \ z) \ 1) = (x * (((y \ z) \ 1) \ 1)) * ((y \ z) \ 1).
(x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y).
a(x / (y \ 1),y \ 1,y) = a(x * y,y \ 1,y).
x * y != L(x \ 1,x,z) \ 1 | y = a(z * x,x \ 1,x).
x * a(y / (x \ 1),x \ 1,x) = L(x \ 1,x,y) \ 1.
L(x \ 1,x,y) \ 1 = x * a(y / (x \ 1),x \ 1,x).
K(x \ y,y \ x) \ z = K(y \ x,x \ y) * z.
K(x \ y,y \ x) * z = K(y \ x,x \ y) \ z.
K(K(x,y) \ 1,K(x,y)) = K(K(y,x),K(x,y)).
K(K(x,y),K(y,x)) = K(K(y,x) \ 1,K(y,x)).
K(x \ y,(x \ y) \ 1) * z = K(y \ x,x \ y) \ z.
K(x \ y,y \ x) \ z = K(y \ x,(y \ x) \ 1) * z.
R(x,(y \ z) \ 1,y \ z) * K(z \ y,y \ z) = (x * ((y \ z) \ 1)) * (y \ z).
(x * (y \ (y / x))) * K(x \ 1,x) = a(y,x \ 1,x) \ 1.
K((x * y) \ (y * x),K(x,y)) = K(K(x,y) \ 1,K(x,y)).
K(x \ (x / y),y) = K(y \ 1,y).
K((x \ y) \ 1,x \ y) = K(y \ x,x \ y).
K(x \ y,y \ x) = K((y \ x) \ 1,y \ x).
K((x * y) \ x,y) = K(y \ 1,y).
a(x,y,y \ 1) \ x = (x / (L(y,z,u) \ 1)) / (1 / (L(y,z,u) \ 1)).
(x / (L(y,z,u) \ 1)) / (1 / (L(y,z,u) \ 1)) = a(x,y,y \ 1) \ x.
a(x,y \ 1,y) \ x = (x / ((y \ 1) \ 1)) / (1 / ((y \ 1) \ 1)).
x * a(y / (x \ 1),x \ 1,x) = (x \ 1) \ a(y,x,x \ 1).
(x \ 1) \ a(y,x,x \ 1) = x * a(y / (x \ 1),x \ 1,x).
((x / (y \ 1)) / y) \ x = a(x,y,y \ 1).
a(x,y,y \ 1) \ x = (x / (y \ 1)) / y.
((x \ y) * (y \ x)) * x = y / (1 / (y \ x)).
x / (1 / (x \ y)) = ((y \ x) * (x \ y)) * y.
(x * (1 / (y \ x))) / y = x \ (y * ((x \ y) \ 1)).
((x \ y) * (y \ x)) \ y = x * (1 / (y \ x)).
x / (y * (1 / (x \ y))) = (y \ x) * (x \ y).
((x \ y) * (y \ x)) * (x * (1 / (y \ x))) = y.
x = ((y \ x) * (x \ y)) * (y * (1 / (x \ y))).
R((x * y) \ z,(y \ (x \ z)) \ 1,y \ (x \ z)) \ ((x * y) \ z) = (((x * y) \ z) \ (a(x,y,y \ (x \ z)) \ 1)) * (y \ (x \ z)).
R(x,y \ 1,y) \ x = (x \ (x / y)) * y.
x * y != x / a(z,u \ 1,u) | y = (z \ (z / u)) * u.
L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y).
x / a(x / (1 / y),y \ 1,y) = (x / (1 / y)) / y.
K(x \ 1,x) * a(y,x \ 1,x) = a(y / x,x,x \ 1).
(x * y) \ (y * (T(x,y) * (1 / T(x,y)))) = (y * (1 / (1 / T(x,y)))) \ y.
a(x,(x / y) \ 1,x / y) * y = T(x * (1 / (x / y)),x / y).
T(x * (1 / (x / y)),x / y) = a(x,(x / y) \ 1,x / y) * y.
((x * (1 / y)) * L(L(y,y \ 1,x),z,u)) \ x = a(u,z,L(y,y \ 1,x)).
(x * (1 / y)) / a(x,y \ 1,y) = x / y.
x / y = (x * (1 / y)) / a(x,y \ 1,y).
(x / y) \ (x * (1 / y)) = a(x,y \ 1,y).
(x * (1 / y)) * a(z,u,L(y,y \ 1,x)) = x / L(L(y,y \ 1,x),u,z).
L(x,x \ 1,y) * (y * (1 / x)) = y * K(x,y * (1 / x)).
L(1 / x,x,y) = (y * (1 / (1 / x))) \ y.
(x * (1 / y)) * L(y,y \ 1,x) = x.
L(x,x \ 1,y) \ y = T(y * (1 / x),x).
(x * (1 / y)) * L(L(y,y \ 1,x),z,u) = x * ((1 / y) * L(y,z,u)).
x / L(y,y \ 1,x) = x * (1 / y).
L(x,x \ 1,y) = (y * (1 / x)) \ y.
L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y).
L(x \ 1,x,y) = L(x \ 1,(x \ 1) \ 1,y).
L(x,1 / x,y) = L(x,x \ 1,y).
x * (R(y,z \ 1,z) \ y) = x / a(y,z \ 1,z).
L(1 / x,x,y) * (y * (1 / (1 / x))) = (1 / x) * (y / (1 / x)).
(x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x.
T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z.
a(x,y,y \ 1) \ x = (x / (y \ 1)) / (1 / (y \ 1)).
(x / (y \ 1)) \ (x * T(y,y \ 1)) = a(x / (y \ 1),1 / y,y).
a(x / (y \ 1),1 / y,y) = (x / (y \ 1)) \ (x * T(y,y \ 1)).
R(x,y,y \ 1) * K(y,y \ 1) = (x * ((y \ 1) \ 1)) * (y \ 1).
a(x,(y \ 1) \ 1,y \ 1) \ x = (x / (y \ 1)) / y.
a(x,(y \ x) \ 1,y \ x) \ x = y / (1 / (y \ x)).
a(x,y \ 1,y) \ x = (x / y) / (1 / y).
(x / y) / (1 / y) = a(x,y \ 1,y) \ x.
x \ ((x / y) / (1 / y)) = a(x,y \ 1,y) \ 1.
a(x,(y \ 1) \ 1,y \ 1) = y / (x \ (x / (y \ 1))).
x / (y \ (y / (x \ 1))) = a(y,(x \ 1) \ 1,x \ 1).
((x * y) \ x) / (1 / y) = ((x * y) \ x) * y.
L(x \ 1,x,(y * x) \ y) = 1 / x.
L(x \ 1,x,y \ (y / x)) = 1 / x.
1 / x = L(x \ 1,x,y \ (y / x)).
x / a(x,y \ 1,y) = (x / y) / (1 / y).
(x / y) / (1 / y) = x / a(x,y \ 1,y).
(1 / x) / (y \ (y / x)) = a(y,x \ 1,x).
a(x,y \ 1,y) * (x \ (x / y)) = 1 / y.
L(x,x \ 1,y) * (y * (1 / x)) = x * (y / x).
x * (y / x) = L(x,x \ 1,y) * (y * (1 / x)).
a(x,(y \ x) \ 1,y \ x) \ (x * (1 / (y \ x))) = y.
a(x / (1 / y),y \ 1,y) \ x = (x / (1 / y)) / y.
a(x,y \ 1,y) \ (x * (1 / y)) = x / y.
T((x * y) * (1 / x),x) = (y * x) * (1 / x).
(x * (1 / y)) / (x / y) = a(x,y \ 1,y).
(a(x,y \ 1,y) \ z) / (y \ z) = L(y,1 / y,x).
a(x,(y \ 1) \ 1,y \ 1) = a(x,y,y \ 1).
a(x,y,y \ 1) = a(x,(y \ 1) \ 1,y \ 1).
a(x,1 / y,y) = a(x,y \ 1,y).
a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y).
(R(x,L(y,z,u) \ 1,L(y,z,u)) / y) \ (x * (1 / L(y,z,u))) = a(u,z,y).
R(x,L(y,z,u) \ 1,L(y,z,u)) = R(x,1 / L(y,z,u),y).
R(x / (1 / y),y \ 1,y) = x * y.
x * y = R(x / (1 / y),y \ 1,y).
x * (R(y,z \ 1,z) \ y) = x / a(y,1 / z,z).
x \ R(x,y \ 1,y) = a(x,1 / y,y).
x \ R(y,x \ 1,x) = T(y * (1 / x),x).
R(x,y \ 1,y) / y = x * (1 / y).
R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1).
R(x,y,y \ 1) = R(x,(y \ 1) \ 1,y \ 1).
(x * (1 / y)) * y = R(x,y \ 1,y).
R(x,y \ 1,y) = (x * (1 / y)) * y.
R(x,1 / y,y) = R(x,y \ 1,y).
R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y).
R(x,y \ 1,y) = R(x,1 / y,(1 / y) \ 1).
R(x,1 / y,1 / (1 / y)) = R(x,y \ 1,y).
R(x,1 / y,K(y \ 1,y) * z) = R(x,y \ 1,z).
R(x,y \ 1,z) = R(x,1 / y,K(y \ 1,y) * z).
R(x,1 / y,K(y \ 1,y) * z) = ((x * (y \ 1)) * z) / ((y \ 1) * z).
((x * (y \ 1)) * z) / ((y \ 1) * z) = R(x,1 / y,K(y \ 1,y) * z).
(K(x,x \ 1) * y) \ ((1 / x) * y) = T(x \ 1,K(x,x \ 1) * y).
T(x \ 1,K(x,x \ 1) * y) = (K(x,x \ 1) * y) \ ((1 / x) * y).
T(x \ 1,(1 / x) * ((x \ 1) \ y)) = (K(x,x \ 1) * y) \ ((1 / x) * y).
(K(x,x \ 1) * y) \ ((1 / x) * y) = T(x \ 1,(1 / x) * ((x \ 1) \ y)).
a(x \ 1,x,T(x \ 1,y)) = T(1 / x,y) \ T(x \ 1,y).
T(1 / x,y) \ T(x \ 1,y) = a(x \ 1,x,T(x \ 1,y)).
a(1 / x,x,T(x \ 1,y)) = T(1 / x,y) \ T(x \ 1,y).
a(1 / x,x,T(T(1 / x,x),y)) = T(1 / x,y) \ T(x \ 1,y).
a(1 / x,x,T(T(1 / x,x),y)) = T(1 / x,y) \ T(T(1 / x,x),y).
a(1 / x,x,T(T(1 / x,x),y)) = T(T(1 / x,1),y) \ T(T(1 / x,x),y).
T(T(1 / x,1),y) \ T(T(1 / x,x),y) = a(1 / x,x,T(T(1 / x,x),y)).
((x / y) * (y * z)) / L(T(z,T(x,L(z,y,x / y))),y,x / y) = T(x,L(z,y,x / y)).
T(x * (a(y,z,u) \ ((x / u) \ 1)),L(u,z,y)) = ((x / u) * L(u,z,y)) * ((x / u) \ 1).
T(x * (a(y,z,u) \ ((x / u) \ 1)),w) = L(T(x * ((x / u) \ 1),w),z,y).
T((x / a(y,z,u)) * ((x / u) \ 1),w) = L(T(x * ((x / u) \ 1),w),z,y).
L(T(x * ((x / y) \ 1),z),u,w) = T((x / a(w,u,y)) * ((x / y) \ 1),z).
L(T(((x / y) * y) * ((x / y) \ 1),z),u,w) = T((x / a(w,u,y)) * ((x / y) \ 1),z).
a(x,y,z) * (a(a(x,y,z),u,z) * T(u,z)) = T(a(x,y,z) * u,L(z,u,a(x,y,z))).
T(a(x,y,z) * u,L(z,u,a(x,y,z))) = a(x,y,z) * (a(a(x,y,z),u,z) * T(u,z)).
L(((x / y) * T(y,z)) * ((x / y) \ 1),u,w) = T((x / a(w,u,y)) * ((x / y) \ 1),z).
K(x * a(y,z,x),a(y,z,x) \ (x \ 1)) = K(x,(x \ L(x,z,y)) / x).
(((x \ y) * x) * (K(x,x \ y) / y)) \ K(x,x \ y) = (((x \ y) * x) \ 1) * y.
a(a(x,y,z),u,z) * (a(x,y,z) * T(u,z)) = T(a(x,y,z) * u,L(z,u,a(x,y,z))).
L((x * (y \ (y / x))) \ z,(y * (x \ 1)) \ (y / x),y * (x \ 1)) = (y / x) \ ((y * (x \ 1)) * z).
(x * (y \ 1)) \ (x / y) = y * (x \ (x / y)).
x * (y \ (y / x)) = (y * (x \ 1)) \ (y / x).
(x * (y \ 1)) \ (x / y) = (y * (x \ (x / y))) * 1.
(x * (y \ (y / x))) * 1 = (y * (x \ 1)) \ (y / x).
(x / y) * ((x * (y \ 1)) \ z) = (y * (x \ (x / y))) * z.
(x * (y \ (y / x))) * z = (y / x) * ((y * (x \ 1)) \ z).
((x / y) \ (x * (y \ 1))) \ z = (y * (x \ (x / y))) * z.
(((x / y) * 1) \ (x * (y \ 1))) \ z = (y * (x \ (x / y))) * z.
(((x / y) * (y * (y \ 1))) \ (x * (y \ 1))) \ z = (y * (x \ (x / y))) * z.
((x / y) * L(T(y,z),u,w)) * ((x / y) \ 1) = T((x / a(w,u,y)) * ((x / y) \ 1),z).
1 / (1 / L(x \ 1,x,y)) = 1 / (1 / ((y * x) \ y)).
1 / (1 / ((x * y) \ x)) = 1 / (1 / L(y \ 1,y,x)).
R(x \ 1,x,y) / (y / (x * y)) = K(x \ 1,x).
a(x / (y * x),y,y \ 1) = K(y \ 1,y).
R(x \ 1,x,y) * ((y / (x * y)) \ 1) = a(y / (x * y),x,x \ 1).
R(x \ 1,x,y) \ a(y / (x * y),x,x \ 1) = (y / (x * y)) \ 1.
(x * (y * z)) \ (x * (y * R(z,u,u \ 1))) = L(a(z,u,u \ 1),y * z,x).
L(a(x,y,y \ 1),z * x,u) = (u * (z * x)) \ (u * (z * R(x,y,y \ 1))).
K(x * a(y,z,u),a(y,z,u) \ (x \ 1)) = x * (a(y,z,u) * (1 / (x * a(y,z,u)))).
a(x,y,z) \ (u / (u / a(x,y,z))) = u / T(u,a(x,y,z) \ 1).
x * y != (z / (u / a(w,v5,v6))) * (a(w,v5,v6) \ y) | x = z / T(u,a(w,v5,v6) \ 1).
a(x,y,z) \ (u \ K(u,a(x,y,z))) = (a(x,y,z) * u) \ 1.
a(x,y,z) \ (u \ K(u,a(x,y,z))) = T(u * a(x,y,z),u) \ 1.
T(x * a(y,z,u),x) \ 1 = a(y,z,u) \ (x \ K(x,a(y,z,u))).
(x * a(y,z,u)) \ K(x,a(y,z,u)) = T(x * a(y,z,u),x) \ 1.
a(x,x \ (x / y),L(y \ 1,y,x / y) \ 1) = a(x,y \ 1,y).
a(x,x \ (x / y),L(y \ 1,y,x / y) \ 1) = x \ R(x,y \ 1,y).
x * (T(a(y,z,u) \ 1,x) * w) = (a(y,z,u) \ x) * w.
(a(x,y,z) \ u) * w = u * (T(a(x,y,z) \ 1,u) * w).
(x * (a(y,z,u) * (w * v5))) \ ((x * (a(y,z,u) * w)) * v5) = a(x * a(y,z,u),w,v5).
K(x \ L(x,y,z),(z * y) * x) = K(z * (y * x),a(z,y,x)).
K(x * L(y,z,u),a(u,z,y)) = K(a(u,z,y) \ 1,x * y).
K(a(x,y,z) \ 1,u * z) = K(u * L(z,y,x),a(x,y,z)).
K(a(x,y,z) \ 1,(x * y) * z) = K(x * (y * z),a(x,y,z)).
K(x / a(y,z,u),a(y,z,u)) = K(a(y,z,u) \ 1,x).
K(a(x,y,z) \ 1,u) = K(u / a(x,y,z),a(x,y,z)).
K(a(x,y,z) \ 1,u * a(x,y,z)) = K(u,a(x,y,z)).
K(a(x,y,z) \ 1,u * a(x,y,z)) = u \ T(u,a(x,y,z)).
K(a(x,y,z) \ 1,u / (a(x,y,z) \ 1)) = u \ T(u,a(x,y,z)).
K(a(x,y,z) \ 1,u / (a(x,y,z) \ 1)) = u \ (a(x,y,z) \ (u * a(x,y,z))).
L(T(x * ((x / y) \ 1),L(y,z,u)),z,u) = L(x * ((x / y) \ 1),z,u).
a(x,y,T(y,z)) \ y = L(y,T(y,z),x).
L(x,T(x,y),z) = a(z,x,T(x,y)) \ x.
a(x,T(y,z),y) = a(x,y,T(y,z)).
((x * y) * T(y,z)) / T(x * (y * T(y,z)),a(x,y,T(y,z))) = a(x,T(y,z),y).
T(x * (y * T(y,z)),a(x,T(y,z),y)) = T(x * (y * T(y,z)),a(x,y,T(y,z))).
L(T(x * ((x / y) \ 1),L(y,z,u)),z,u) = L(((x / y) * y) * ((x / y) \ 1),z,u).
L(((x / y) * y) * ((x / y) \ 1),z,u) = L(T(x * ((x / y) \ 1),L(y,z,u)),z,u).
T(x * y,L(x,z,u)) / (a(u,z,x) * y) = L(T(x * y,x) / y,z,u).
T(x * y,L(x,z,u)) / (x * (L(x,z,u) \ y)) = L(T(x * y,x) / y,z,u).
T(x * (y * T(y,z)),(x * y) * T(y,z)) = T(x * (y * T(y,z)),a(x,T(y,z),y)).
K(x,y) * (a(x,x \ 1,K(x,y)) * (1 / x)) = (1 / (1 / x)) \ K(x,y).
(1 / (1 / x)) \ K(x,y) = K(x,y) * (a(x,x \ 1,K(x,y)) * (1 / x)).
a(x,x \ 1,K(x,y)) * (K(x,y) * (1 / x)) = (1 / (1 / x)) \ K(x,y).
a(x,(y \ z) \ 1,((y \ z) * (z \ y)) * u) = a(x,z \ y,u).
a(x,(y \ z) \ 1,((y \ z) * (z \ y)) * u) = a(x,z \ (y * 1),u).
a(x / y,y / x,(y / x) \ ((x / y) \ z)) = a(x / y,(x / y) \ 1,z).
x \ ((((y \ x) * y) \ 1) \ K(y,y \ x)) = ((y \ x) * y) * (K(y,y \ x) / x).
T(x,(y \ x) / x) = T(x,y \ 1).
T(x,(y \ x) / x) = y * (y \ T(x,y \ 1)).
x * (x \ T(y,x \ 1)) = T(y,(x \ y) / y).
(x / (y \ x)) * (y \ T(x,y \ 1)) = T(x,(y \ x) / x).
((1 * x) / (y \ x)) * (y \ T(x,y \ 1)) = T(x,(y \ x) / x).
L(a((x \ 1) \ 1,y,y \ 1),x,x \ 1) = a(x,y,y \ 1).
L(a((x \ 1) \ 1,y,y \ 1),x,x \ 1) = x \ R(x,y,y \ 1).
L(a((x \ 1) \ 1,y,y \ 1),x,x \ 1) = R(x,y,y \ 1) * (x \ 1).
L(T(x * ((x / y) \ 1),L(y,z,u)),z,u) = ((x / y) * L(y,z,u)) * ((x / y) \ 1).
((x \ y) * (y \ x)) \ ((y \ x) * z) = ((x \ y) \ 1) * z.
((x \ y) \ 1) * z = ((x \ y) * (y \ x)) \ ((y \ x) * z).
(x \ (y * ((x \ y) \ 1))) * ((y \ x) * z) = ((x \ y) \ 1) * z.
(x \ (y * ((x \ y) \ 1))) * ((y \ (x * 1)) * z) = ((x \ y) \ 1) * z.
(L(x,y,z) \ 1) \ (a(z,y,x) * ((x \ 1) * u)) = L(u,x \ 1,x) * a(x,L(x,y,z) \ 1,L(u,x \ 1,x)).
(L(x,y,z) \ 1) \ (L(x,y,z) \ u) = u * a(x,L(x,y,z) \ 1,u).
x * a(y,L(y,z,u) \ 1,x) = (L(y,z,u) \ 1) \ (L(y,z,u) \ x).
a(L(x,y,z),L(x,y,z) \ 1,u) = a(x,L(x,y,z) \ 1,u).
a(L(x,y,z),x \ a(z,y,x),u) = a(x,L(x,y,z) \ 1,u).
a(x,L(x,y,z) \ 1,u) = a(L(x,y,z),x \ a(z,y,x),u).
a(L(x,y,z),x \ a(z,y,x),u) = L(u,L(x,y,z) \ 1,x) \ u.
a(L(x,y,z),x \ a(z,y,x),u) = L(u,L(x,y,z) \ 1,x) \ (1 * u).
R(x,x \ 1,y \ L(y,z,u)) \ (a(u,z,y) \ 1) = (x \ 1) / a(u,z,y).
R(x,x \ 1,y \ L(y,z,u)) \ (a(u,z,y) \ 1) = (x \ 1) * (y \ L(y,z,u)).
x \ (a(y,z,u) \ 1) = x \ (u \ L(u,z,y)).
x \ (y \ L(y,z,u)) = x \ (a(u,z,y) \ 1).
(x * y) * z != a(x,y,y \ (x \ 1)) | z = y \ (x \ 1).
((x * (y \ 1)) / x) \ ((x * (K(y \ 1,y) \ (y \ 1))) / x) = a(y \ 1,y,(x * (y \ 1)) / x) \ 1.
T(x * y,L(x,z,u)) / (x * (L(x,z,u) \ y)) = L(((x * y) * x) / (x * y),z,u).
L(((x * y) * x) / (x * y),z,u) = T(x * y,L(x,z,u)) / (x * (L(x,z,u) \ y)).
T(x * (y * T(y,z)),(x * T(y,z)) * y) = T(x * (y * T(y,z)),a(x,T(y,z),y)).
a(x,y,z) * K((x * (y * z)) / z,a(x,y,z)) = (x * y) / ((x * (y * z)) / z).
(x * y) / ((x * (y * z)) / z) = a(x,y,z) * K((x * (y * z)) / z,a(x,y,z)).
K((x * (y * z)) / z,a(x,y,z)) * a(x,y,z) = (x * y) / ((x * (y * z)) / z).
a(x,y,z) * K((a(x,y,z) \ (a(x,y,z) / z)) \ 1,u) = K(z,u) * a(x,y,z).
K(x,y) * a(z,u,x) = a(z,u,x) * K((a(z,u,x) \ (a(z,u,x) / x)) \ 1,y).
(a(x,y,z) / z) * T(z,u) = K(z,u) * a(x,y,z).
a(x,y,z) * T(K(z,u),a(x,y,z)) = (a(x,y,z) / z) * T(z,u).
K(a(x,y,T(z,z \ u)),w) = T(K(a(x,y,z),w),u).
T(K(a(x,y,z),u),w) = K(a(x,y,T(z,z \ w)),u).
T(K(a(x,y,z),u),z * w) = K(a(x,y,T(z,w)),u).
K(a(x,y,T(z,u)),w) = T(K(a(x,y,z),w),z * u).
K(T(a(x,y,z),L(z,y,x) * u),w) = T(K(a(x,y,z),w),z * u).
T(K(a(x,y,z),u),z * w) = K(T(a(x,y,z),L(z,y,x) * w),u).
T(K(a(x,y,z),u),a(x,y,z) * w) = K(T(a(x,y,z),w),u).
a(x,y,T(1 / z,u)) \ K(z \ 1,u) = z * L(T(z \ 1,u),y,x).
(x * y) / (a(x,y,z) * ((x * (y * z)) / z)) = K((x * (y * z)) / z,a(x,y,z)).
a(x,x \ 1,y) * K(x \ 1,y) = x * (y \ (x \ y)).
x * (y \ (x \ y)) = a(x,x \ 1,y) * K(x \ 1,y).
T(K(a(x,y,z),u),a(x,y,z) * w) = K(((a(x,y,z) * w) \ w) \ 1,u).
K(((a(x,y,z) * u) \ u) \ 1,w) = T(K(a(x,y,z),w),a(x,y,z) * u).
K(((x * y) \ y) \ 1,z) = (x * y) \ (T(x,z) * y).
(x * y) \ (T(x,z) * y) = K(((x * y) \ y) \ 1,z).
(x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y.
((x / y) * T(y,z)) \ (x * K(y,z)) = a(x,K(y,z),y).
((x \ y) * a(z,u,x)) / (L(x,u,z) \ y) = K(x \ y,a(z,u,x)).
(x / L(y,z,u)) / (a(u,z,y) * (x / y)) = K(x / y,a(u,z,y)).
a(x,y,z) * K(T(1 / z,a(x,y,z)) \ 1,u) = (a(x,y,z) / z) * T(z,u).
(a(x,y,z) / z) * T(z,u) = a(x,y,z) * K(T(1 / z,a(x,y,z)) \ 1,u).
(((a(x,y,K(z,u)) \ 1) * K(z,u)) / T(z,u)) * z = K(z,u) \ L(K(z,u),y,x).
T((x * K(y,z)) / T(y,z),y) = y \ R(x,K(y,z),y).
((x * K(y,z)) / T(y,z)) * y = R(x,K(y,z),y).
R(x,K(y,z),y) = ((x * K(y,z)) / T(y,z)) * y.
(x / (1 / (y \ z))) * K(y \ z,z \ y) = x / ((y \ z) \ 1).
T(K(x,y),K(x,z)) = K(x,y).
a((1 / x) \ 1,1 / x,K(x,y)) * (K(x,y) * (1 / x)) = (1 / (1 / x)) \ K(x,y).
T(K(x,y),K(x,z)) = K((1 / x) \ 1,y).
K((1 / x) \ 1,y) = T(K(x,y),K(x,z)).
K(x,y) * (1 / x) = (1 / x) * K(x,y).
T(T(1 / x,y),K(x,z)) = T(1 / x,y).
T(1 / x,y) = T(T(1 / x,y),K(x,z)).
T(1 / x,K(x,y)) = 1 / x.
T(x,K(x \ 1,y)) = x.
K(x \ 1,y) * x = x * K(x \ 1,y).
x * K(x \ 1,y) = K(x \ 1,y) * x.
K((x / y) \ 1,x / y) = K(y / x,x / y).
K(x / y,y / x) = K((y / x) \ 1,y / x).
R(K(x / y,y),x / y,(y \ x) \ z) \ z = (x / y) * ((y \ x) \ z).
a(x \ 1,x,y) * K(x,z) = R(1 / x,x,y) * T(x,z).
R(1 / x,x,y) * T(x,z) = a(x \ 1,x,y) * K(x,z).
K((x * y) / x,x * y) / L(y,x,(x * y) / x) = 1 / ((x * y) / x).
K(x / y,y) / (y \ x) = 1 / (x / y).
K(x \ 1,x) * K(x,y) = (x \ 1) * T(x,y).
L(T(x,y),K(x,z),K(x,z) \ 1) = T((1 / K(x,z)) * T(x,z),y).
(x * K(y,x)) \ (y * x) = L(y,K(y,x),x).
L(x,K(x,y),y) = (y * K(x,y)) \ (x * y).
((x * T(y,z)) / y) \ (x * K(y,z)) = a(x,K(y,z),y).
a(x,K(y,z),y) = ((x * T(y,z)) / y) \ (x * K(y,z)).
(T(x,y) * z) \ (K(x,y) * (x * z)) = a(K(x,y),x,z) \ 1.
T(x,y) * z != K(x,y) * (x * u) | L(u,x,K(x,y)) = z.
L(x,y / x,K(y,z)) = (K(y,z) * (y / x)) \ T(y,z).
(x * T(y,z)) * a(x,K(y,z),y) = (x * K(y,z)) * y.
(x * T(y,z)) / L(y,K(y,z),x) = x * K(y,z).
T(x,y) * L(z,x,K(x,y)) = K(x,y) * (x * z).
((x * K(y,z)) * y) / T(y,z) = R(x,K(y,z),y).
R(x,K(y,z),y) = ((x * K(y,z)) * y) / T(y,z).
(x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x).
L(x,K(x,y),z) = (z * K(x,y)) \ (z * T(x,y)).
K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x).
K(x / (y * x),y) = K(y \ 1,y).
K(x \ 1,x) = K(y / (x * y),x).
(x / ((y * a(z,u,w)) / y)) * a(z,u,w) = x / K(y,a(z,u,w)).
((x * a(y,z,u)) / x) * (a(y,z,u) \ w) = K(x,a(y,z,u)) * w.
a(x,y,K(z,u)) \ T(z,u) = z * L(z \ T(z,u),y,x).
((x * (1 / y)) \ x) * (x * (1 / y)) = x * K(y,x * (1 / y)).
T(x,y) = (1 / x) \ K(x,y).
(1 / x) \ K(x,y) = T(x,y).
K(x,y) / T(x,y) = 1 / x.
K(x,y) = (1 / x) * T(x,y).
(1 / x) * T(x,y) = K(x,y).
(x * a(y,z,u)) / (a(y,z,u) * x) = K(x,a(y,z,u)).
R(T(K(x,y),x * z),x,z) = (x * z) \ (T(x,y) * z).
(T(x,y) * T(z,x)) / (z * x) = R(K(x,y),x,T(z,x)).
R(K(x,y),x,T(z,x)) = (T(x,y) * T(z,x)) / (z * x).
R(K(x,y),x,z) \ (T(x,y) * z) = x * z.
(T(x,y) * z) / (x * z) = R(K(x,y),x,z).
R(K(x,y),x,z) = (T(x,y) * z) / (x * z).
(x \ y) / (y / x) = K(y / x,x).
K(x / y,y) = (y \ x) / (x / y).
K(x,y) \ T(x,y) = x.
T(x,y) = K(x,y) * x.
K(x,y) * x = T(x,y).
K(x,y) = T(x,y) / x.
(1 / (1 / x)) * y != T(1 / (1 / x),z) | y = T(x,z) / x.
((x \ 1) \ y) * K((x \ (1 / (y / (x * y)))) \ 1,z) = (x * y) * T((x * y) \ ((x \ 1) \ y),z).
(x * y) * T((x * y) \ ((x \ 1) \ y),z) = ((x \ 1) \ y) * K((x \ (1 / (y / (x * y)))) \ 1,z).
T(x * y,x) * T(T(x * y,x) \ R(x,y,x),z) = R(x,y,x) * K(T(y,x) \ 1,z).
(x / y) * T(y,z) = x * K((x \ (x / y)) \ 1,z).
(x * y) * K(((x * y) \ y) \ 1,z) = y * T(T(x,y),z).
x * T(T(y,x),z) = (y * x) * K(((y * x) \ x) \ 1,z).
x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x.
K(T(1 / x,y) \ 1,z) = T(K(x,z),y).
K(T(x,y) \ 1,z) = T(K(x \ 1,z),y).
T(K(x \ 1,y),z) = K(T(x,z) \ 1,y).
R(x,y,z) * (x \ T(R(x,y,z) \ x,u)) = K((x \ R(x,y,z)) \ 1,u).
K((x \ R(x,y,z)) \ 1,u) = R(x,y,z) * (x \ T(R(x,y,z) \ x,u)).
K((x \ (x / y)) \ 1,z) = x \ ((x / y) * T(y,z)).
x \ ((x / y) * T(y,z)) = K((x \ (x / y)) \ 1,z).
L(x \ K(y \ 1,z),x,1 / y) = ((1 / y) * x) \ T(1 / y,z).
(1 / (1 / x)) * K(x,y) = T(1 / (1 / x),y).
T(1 / x,y) != (1 / x) * z | K(x \ 1,y) = z.
K(1 / x,a(y,z,u)) = K(x \ 1,a(y,z,u)).
K(x \ 1,a(y,z,u)) = K(1 / x,a(y,z,u)).
x * y != T(x,a(z,u,w)) | y = K(x,a(z,u,w)).
a(x,y,T(1 / z,u)) \ K(z \ 1,u) = L(T(1 / z,u),y,x) * z.
L(T(1 / x,y),z,u) * x = a(u,z,T(1 / x,y)) \ K(x \ 1,y).
L(K((T(x,y) \ 1) \ 1,z),T(x,y),y) = (x * y) \ (T(x,z) * y).
x * T(x \ y,z) = y * K((y \ x) \ 1,z).
(1 / x) * K(x \ 1,y) = T(1 / x,y).
K(x \ 1,y) / L(x,z,u) = T(1 / x,y) * a(u,z,x).
T(1 / x,y) * a(z,u,x) = K(x \ 1,y) / L(x,u,z).
T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y).
K(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y).
x * (a(x,y,z) * T(x \ 1,u)) = a(x,y,z) * K(x \ 1,u).
a(x,y,z) * K(x \ 1,u) = x * (a(x,y,z) * T(x \ 1,u)).
x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z).
K((x \ y) \ 1,z) = x \ (y * T(y \ x,z)).
K((x * y) \ x,x * y) = K(y \ 1,x * y).
K((x \ 1) \ 1,y) = x \ T(x,y).
T(1 / x,y) \ K(x \ 1,y) = x.
K(x \ 1,(x \ 1) \ y) = x * (((x \ 1) \ y) \ y).
x * (((x \ 1) \ y) \ y) = K(x \ 1,(x \ 1) \ y).
x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z).
K((x * y) \ 1,z) = x * (y * T(y \ (x \ 1),z)).
L(x \ 1,x,y) * (y * x) = y * K(x \ 1,y * x).
x * K(y \ 1,x * y) = L(y \ 1,y,x) * (x * y).
K(x \ (x / y),x) = K(y \ 1,x).
K(x \ 1,y) / x = T(1 / x,y).
x * T(x \ 1,y) = K(x \ 1,y).
K(x \ 1,y) = x * T(x \ 1,y).
(x / y) * K(y \ 1,z) = x * T(x \ (x / y),z).
(x / y) \ (x * T(x \ (x / y),z)) = K(y \ 1,z).
K(x \ 1,y) = (z / x) \ (z * T(z \ (z / x),y)).
(x / y) \ (x * T(x \ (x / y),z)) = (z * (y \ 1)) \ ((y \ 1) * z).
(x * (y \ 1)) \ ((y \ 1) * x) = (z / y) \ (z * T(z \ (z / y),x)).
a(x,x \ 1,T((x \ 1) \ 1,y)) = K(T(x,y),x \ 1).
a(x,x \ 1,T((x \ 1) \ 1,y)) = T(x,y) \ T((x \ 1) \ 1,y).
a(x,x \ 1,T((x \ 1) \ 1,y)) = T(1 \ x,y) \ T((x \ 1) \ 1,y).
T(1 \ x,y) \ T((x \ 1) \ 1,y) = a(x,x \ 1,T((x \ 1) \ 1,y)).
(x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w).
((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w).
((x / y) * R((x / y) \ z,u,w)) * y = R((z * y) / x,u,w) * x.
R((x * y) / z,u,w) * z = ((z / y) * R((z / y) \ x,u,w)) * y.
T(x \ y,z) * ((x \ y) \ (y / x)) = (y / x) * ((x \ y) \ T(x \ y,z)).
R(T(x * y,K(x \ 1,x)),x \ 1,x) = T(x,x \ 1) * R(y,x,x \ 1).
R(T(x * y,(x \ 1) * x),x \ 1,x) = T(x,x \ 1) * R(y,x,x \ 1).
a(R(x,y,z),u,T(x,u)) = a(x,u,R(T(x,u),y,z)).
T(x \ y,z) * ((y / x) * ((x \ y) \ 1)) = (y / x) * ((x \ y) \ T(x \ y,z)).
x \ ((a(y,z,x \ u) \ 1) * u) != w * T(a(y,z,x \ u) \ 1,u) | x \ u = w.
(x \ y) * T(a(z,u,x \ y) \ 1,y) = x \ ((a(z,u,x \ y) \ 1) * y).
x \ ((a(y,z,x \ u) \ 1) * u) = (x \ u) * T(a(y,z,x \ u) \ 1,u).
R(T(x * y,(x \ 1) * x),x \ 1,x) = K(x,x \ 1) * (x * R(y,x,x \ 1)).
L(x,L(y,z,R(u,z,y)),R(u,z,y) * z) = L(x,y,u * z).
L(x,L(y,z,u),w * a(u,z,y)) = L(x,y,w).
L(x,y,z) = L(x,L(y,u,w),z * a(w,u,y)).
L(x,(y \ (y / z)) \ 1,y \ (y / z)) = L(x,z,(((y \ (y / z)) \ 1) \ 1) * a(y,z \ 1,z)).
L(x,y,(((z \ (z / y)) \ 1) \ 1) * a(z,y \ 1,y)) = L(x,(z \ (z / y)) \ 1,z \ (z / y)).
L(x,(y \ (y / z)) \ 1,u) = L(x,z,u * a(y,z \ 1,z)).
L(x,a(y,z,u) * u,w) = L(x,u,w * a(y,z,u)).
L(x,a(y,z,u) * (w \ (a(v5,v6,v7) \ w)),v8) = L(x,w \ (a(v5,v6,v7) \ w),v8 * a(y,z,u)).
L(L(x,L(y,z,u),a(u,z,y)),y,w) = L(x,L(y,z,u),w * a(u,z,y)).
L(L(x,y,a(z,u,w)),a(z,u,w) * y,v5) = L(x,y,v5 * a(z,u,w)).
L(x,y,z * a(u,w,v5)) = L(L(x,y,a(u,w,v5)),a(u,w,v5) * y,z).
x \ (K((y * x) / y,x \ 1) \ x) = K(x \ 1,(y * x) / y).
x \ (1 / (x \ K((y * x) / y,x \ 1))) = K(x \ 1,(y * x) / y).
1 / (x \ K((y * x) / y,x \ 1)) = K((y * x) / y,x \ 1) \ x.
x \ (1 / (x \ K((y * x) / y,x \ 1))) = a(x,x \ 1,(y * x) / y) \ 1.
T((((x \ y) / y) * x) \ y,x \ 1) = x * ((K(x,x \ 1) * y) * (x \ 1)).
((x / y) * T(y,z)) * R(y,u,w) = ((x / y) * R(y,u,w)) * T(y,z).
T(a(x,y,T(T(x,y),z)),T(x,T(x,z) * y) * u) = a(T(x,z),y,T(T(x,y),u)).
T(x \ R(x,y,x),x * z) = a((y * x) / y,y,R(T(x,z),y,x)).
T(x \ R(x,y,x),x * z) = a((y * x) / y,y,T(R(x,y,x),z)).
(L(x,y,z) * u) * T(a(z,y,T(x,u)),w) = K(a(z,y,x),w) * (x * u).
(x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z).
x * ((x * ((y * (x \ 1)) / y)) * z) = (x * ((y * (x \ 1)) / y)) * (x * z).
R(T((x \ 1) \ 1,y),z,u) * K(x \ 1,x) = (x \ R(T(x,y),z,u)) * x.
R(x,y \ z,(y \ z) \ 1) = R(x,y \ z,z \ y).
R(R(x,y \ z,z \ y),(u \ w) * (w \ u),v5) = R(x,y \ z,(y \ z) \ 1).
(x * y) * K(a(z,u,y),w) = x * (y * K(a(z,u,y),w)).
L(K(a(x,y,z),u),z,w) = K(a(x,y,z),u).
a(x,y,K(a(z,u,y),w)) = 1.
a(x,(y \ z) \ 1,((y \ z) * (z \ y)) * u) = a(x,L((y \ z) \ 1,y \ z,y),u).
a(x,L(y,z,u),T(a(u,z,y),w)) = a(x,y,K(a(u,z,y),w)).
a(x,y,K(a(z,u,y),w)) = a(x,L(y,u,z),T(a(z,u,y),w)).
a(x,y,a(z,u,y) \ w) = a(x,L(y,u,z),w).
a(x,L(y,z,u),w) = a(x,y,a(u,z,y) \ w).
(x * (L(y,z,u) * w)) \ ((x * L(y,z,u)) * w) = a(x,y,a(u,z,y) \ w).
x * (y * R(y \ (x \ (z * (x * y))),u,w)) = R(z,u,w) * (x * y).
(L(x,y,z) / (L(x,y,z) / x)) * (1 / x) = a(x,x \ 1,L(x,y,z)).
(x * (R(x,y,z) * u)) \ ((x * u) * R(T(x,u),y,z)) = a(R(x,y,z),u,T(x,u)).
T(x,(1 / y) * x) = T(x,x / y).
(x \ 1) \ ((x \ 1) * T(y,y / x)) = T(y,(1 / x) * y).
(x \ 1) \ ((x \ 1) * (x * ((y * (x \ y)) / y))) = T(y,(1 / x) * y).
x \ L((y * ((x \ 1) \ z)) / y,x \ 1,x) = ((y * (z * ((x \ 1) \ 1))) / y) / ((x \ 1) \ 1).
((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x).
x * ((y * (x \ z)) / y) = ((y * (z * (x \ 1))) / y) / (x \ 1).
x * ((y * (x \ (z / (x \ 1)))) / y) = ((y * z) / y) / (x \ 1).
((x * y) / x) / (z \ 1) = z * ((x * (z \ (y / (z \ 1)))) / x).
((x * ((y / (z \ 1)) / z)) / x) * z = ((x * y) / x) / (z \ 1).
((x * ((y / (z \ 1)) / z)) / x) * z = ((x * (y / 1)) / x) / (z \ 1).
((x * (y / 1)) / x) / (z \ 1) = ((x * ((y / (z \ 1)) / z)) / x) * z.
a(T(x,y),z,T(x,z)) = a(x,z,T(T(x,z),y)).
(x * (T(x,y) * z)) \ ((x * z) * T(T(x,z),y)) = a(T(x,y),z,T(x,z)).
(T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y).
(x * y) * T(T(x,y),z) = (T(x,z) * y) * T(x,y).
(x * y) * T(y \ (x * y),z) = (T(x,z) * y) * T(x,y).
(x * y) * T((x \ (x * y)) \ (x * y),z) = (T(x,z) * y) * T(x,y).
(x * y) * T((x \ (x * y)) \ (x * y),z) = R(T(x,z),y,T(x,y)) * (x * y).
(x * y) * T((x \ (x * y)) \ (x * y),z) = T(R(x,y,T(x,y)),z) * (x * y).
T(x \ y,z) * ((y / x) * ((x \ y) \ 1)) = (x \ y) \ ((y / x) * T(x \ y,z)).
((x * y) * T(y,z)) / T(x * (y * T(y,z)),a(x,T(y,z),y)) = a(x,T(y,z),y).
(x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y).
(((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x).
((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z).
x \ ((y \ (x * L(x \ y,z,u))) * y) = (x \ y) * T(a(u,z,x \ y) \ 1,y).
(x \ y) * T(a(z,u,x \ y) \ 1,y) = x \ ((y \ (x * L(x \ y,u,z))) * y).
(T(x,y) \ x) * T((T(x,y) \ x) \ z,x) = T(x,y) \ ((T(x,y) * (x \ z)) * x).
(x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y).
(x \ y) * T((x \ y) \ z,x * (x \ y)) = x \ ((y \ (x * z)) * y).
R(T(x * y,(x \ 1) * x),x \ 1,x) = K(x \ 1,x) \ (x * R(y,x,x \ 1)).
T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y).
T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x.
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u).
(x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
(x * (a(y,z,u) * w)) \ (x * (a(y,z,u) * (w * v5))) = L(v5,w,x * a(y,z,u)).
x \ R(x * y,x \ 1,x) = (y * x) * (1 / x).
(x * y) * (1 / y) = y \ R(y * x,y \ 1,y).
(x \ 1) * R((x \ 1) \ y,x \ 1,x) = (y * x) * (1 / x).
(x / (x / L(x,y,z))) * ((x / L(x,y,z)) / x) = K(x,L(x,y,z) \ 1).
a(x,x \ 1,L(y,x \ 1,x)) = a(x,x \ 1,y).
a(x,x \ 1,L(y,x \ 1,x)) = L(y,x \ 1,x) \ y.
L(x,y \ 1,y) \ x = a(y,y \ 1,L(x,y \ 1,y)).
(x \ (x / ((y \ 1) \ 1))) * a(x,y \ 1,y) = y \ 1.
x \ 1 = (y \ (y / ((x \ 1) \ 1))) * a(y,x \ 1,x).
(x \ (x / ((y \ 1) \ 1))) / ((x \ (x / y)) * y) = y \ 1.
(x * (a(x,y,z) \ (z / x))) \ L(z,y,x) = K(z / x,(z / x) \ L(z,y,x)).
L(x,y,z) \ (z * (a(z,y,x) \ (x / z))) = K((x / z) \ L(x,y,z),x / z).
(x \ 1) * R((x \ 1) \ y,x \ 1,x) = (y * x) * (K(x,x \ 1) * (x \ 1)).
(x * T(x \ L(x,y,z),u)) * w = T(x \ L(x,y,z),u) * (x * w).
T(x \ L(x,y,z),u) * (x * w) = (x * T(x \ L(x,y,z),u)) * w.
x * (a(y,z,x) * (1 / (x * a(y,z,x)))) = K(x,(x \ L(x,z,y)) / x).
K(x,(x \ L(x,y,z)) / x) = x * (a(z,y,x) * (1 / (x * a(z,y,x)))).
a(x,y,z) * (z * (1 / (z * a(x,y,z)))) = K(z,(z \ L(z,y,x)) / z).
K(x,(x \ L(x,y,z)) / x) = a(z,y,x) * (x * (1 / (x * a(z,y,x)))).
(x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (a(x \ 1,x,y) / x).
(x \ 1) \ (((y / (x \ 1)) / x) \ y) = x * a(y / (x \ 1),x \ 1,x).
((x \ R(x,y,z)) * x) \ (R((x \ 1) \ 1,y,z) * u) = K(x,x \ 1) * u.
L(K(x \ (x / (T(y,z) \ 1)),x),T(y,z),z) = (y * z) \ (T(y,x) * z).
(x * K(y \ 1,y)) / y = x / ((y \ 1) \ 1).
(x * y) * K(y \ (x \ 1),x * y) = 1 / (1 / (x * y)).
K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y).
K(x \ (y \ 1),y * x) = ((y * x) \ 1) * (y * x).
((x * y) \ 1) * (x * y) = K(y \ (x \ 1),x * y).
L(x \ (y \ 1),x,y) * (y * x) = K(x \ (y \ 1),y * x).
K(x \ (y \ 1),y * x) = L(x \ (y \ 1),x,y) * (y * x).
T(a(x,y,y \ 1),x * z) = a(T(x,z),y,y \ 1).
L(a(T(x,y),z,z \ 1),T(x,y),y) = T(a(x,z,z \ 1),x * y).
L(a(T(x,y),z,z \ 1),T(x,y),y) = (x * y) \ (R(x,z,z \ 1) * y).
(x * y) \ (R(x,z,z \ 1) * y) = L(a(T(x,y),z,z \ 1),T(x,y),y).
(R(x,y,z) \ 1) * ((1 / R(x,y,z)) * ((R(x,y,z) \ 1) \ R(x,u,w))) = R(x,u,w) / R(x,y,z).
(1 / R(x,y,z)) * R(x,u,w) = R(x,u,w) / R(x,y,z).
R(x,y,z) / R(x,u,w) = (1 / R(x,u,w)) * R(x,y,z).
R(1 * x,y,z) / R(x,u,w) = (1 / R(x,u,w)) * R(x,y,z).
(1 / a(x \ 1,x,y)) * R((1 / a(x \ 1,x,y)) \ (x * y),z,u) = R((1 / x) \ y,z,u) / a(x \ 1,x,y).
R(((1 / x) * y) * x,z,u) / x = (1 / x) * R(y,z,u).
(1 / x) * R(y,z,u) = R(((1 / x) * y) * x,z,u) / x.
(1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x.
(1 / x) * R((1 / x) \ y,z,u) = R((y * x) / 1,z,u) / x.
R((x * y) / 1,z,u) / y = (1 / y) * R((1 / y) \ x,z,u).
(x \ R(T(x,y),z,u)) * K(x \ 1,R(T(x,y),z,u)) = (x \ 1) * R(T(x,y),z,u).
R(T(x,y),z,u) * (x \ 1) = x \ R(T(x,y),z,u).
x \ R(T(x,y),z,u) = R(T(x,y),z,u) * (x \ 1).
(x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u).
x \ R(x * y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u).
x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1).
R(x,y,z) * (u \ 1) = u \ R(u * (x * (u \ 1)),y,z).
R(x / (y \ 1),z,u) * (y \ 1) = y \ R(y * x,z,u).
R(x / (y \ 1),z,u) * (y \ 1) = y \ R(1 \ (y * x),z,u).
x \ R(1 \ (x * y),z,u) = R(y / (x \ 1),z,u) * (x \ 1).
T(x,y) \ T((x \ 1) \ 1,y) = K(T(x,y),x \ 1).
a(x,x \ 1,T(x,y)) = T(x,y) \ T((x \ 1) \ 1,y).
T(x,y) \ T((x \ 1) \ 1,y) = a(x,x \ 1,T(x,y)).
K(x \ 1,(x \ 1) \ (x \ y)) = K((x \ y) / y,y).
K((x \ 1) \ (x \ y),x \ 1) = K(y,(x \ y) / y).
(1 / T(x,y)) \ (T(y,T(x,y)) / (x * y)) = a(T(x,y) \ 1,T(x,y),y).
((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y).
x * (y * R(y \ (x \ (y * (x * y))),z,u)) = (x * R(T(y,x * y),z,u)) * y.
(x * R(T(y,x * y),z,u)) * y = x * (y * R(y \ (x \ (y * (x * y))),z,u)).
x / ((y \ ((z * y) / z)) / ((z * y) / z)) = x / (y \ K((z * y) / z,y \ 1)).
x / (y \ K((z * y) / z,y \ 1)) = x / ((y \ ((z * y) / z)) / ((z * y) / z)).
K(x / y,(y \ x) \ 1) \ 1 = K((y \ x) \ 1,x / y).
((x / (x / L(x,y,z))) \ 1) \ (x / L(x,y,z)) = x * K(x,L(x,y,z) \ 1).
x * K(x,L(x,y,z) \ 1) = T(x,L(x,y,z) \ 1).
x \ T(x,L(x,y,z) \ 1) = K(x,L(x,y,z) \ 1).
L(K(a(x,y,z),u) * (w \ v5),K(u,a(x,y,z)),w) = (w * ((w \ v5) / (K(a(x,y,z),u) * (w \ v5)))) \ v5.
x / (K(a(y,z,u),w) * x) = K(w,a(y,z,u)).
K(x,a(y,z,u)) \ w = K(a(y,z,u),x) * w.
T(a(x,y,z),u) * (a(x,y,z) \ w) = K(u,a(x,y,z)) \ w.
K(x,a(y,z,u)) \ w = T(a(y,z,u),x) * (a(y,z,u) \ w).
((x \ 1) \ y) \ (x * y) = x \ (1 / (y / (x * y))).
(x * (y / (x * y))) \ 1 = ((x \ 1) \ y) \ (x * y).
a(x / y,y / x,(y / x) \ ((x / y) \ z)) = z \ (((x / y) \ 1) \ ((x / y) \ z)).
x \ (((y / z) \ 1) \ ((y / z) \ x)) = a(y / z,z / y,(z / y) \ ((y / z) \ x)).
R(1 / (((x \ y) / y) * x),((x \ y) / y) * x,T(x,((x \ y) / y) * x)) = T(x,((x \ y) / y) * x) / (y / ((1 / x) * y)).
x * (((x \ y) / y) * x) = y / ((1 / x) * y).
x \ (y / ((1 / x) * y)) = ((x \ y) / y) * x.
T(a(x,x \ 1,y),x \ 1) = a(x,x \ 1,y).
x / (y * (x / (y * x))) = (y \ 1) * (y * x).
((x \ 1) * (x * y)) \ y = x * (y / (x * y)).
((a(x,y,z) * u) \ u) \ 1 = T(a(x,y,z),u).
a(x,y,z) \ (T(a(x,y,z),u) * w) = K(u,a(x,y,z)) \ w.
((a(x,y,z) * u) \ u) \ w = T(a(x,y,z),u) * w.
R(T(x,y),x \ 1,y * x) = y \ ((x \ 1) \ y).
R(1 / (1 / x),(1 / (1 / x)) \ 1,y * K(x \ 1,x)) = (((1 / (1 / x)) \ 1) \ (y / x)) / (y / x).
(T(a(x,y,z),u) \ 1) \ w = T(a(x,y,z),u) * w.
T(a(x,y,z),u) * w = (T(a(x,y,z),u) \ 1) \ w.
T(R(x,x \ 1,y * x),y) = y \ ((x \ 1) \ y).
R(x,x \ 1,y * x) = ((x \ 1) \ y) / y.
((x \ 1) \ y) / y = R(x,x \ 1,y * x).
R(x,x \ 1,y * x) * y = (x \ 1) \ y.
(x \ 1) \ y = R(x,x \ 1,y * x) * y.
a(x,x \ 1,y * x) * (x * y) = (x \ 1) \ y.
a(x,y / (x * y),x * y) \ 1 = ((x \ 1) \ y) \ (x * y).
((x \ 1) \ y) \ (x * y) = a(x,y / (x * y),x * y) \ 1.
R(x * y,T(x * (y / (x * y)),x * y),z) \ (((x \ 1) \ y) * z) = T(x * (y / (x * y)),x * y) * z.
(x * (y / (x * y))) * (x * y) = (x \ 1) \ y.
(x / y) \ ((y / x) \ 1) = y \ ((1 / (x / y)) * x).
((x / y) * (y / x)) \ 1 = (y / x) \ ((x / y) \ 1).
((x / y) * (y / x)) * ((y / x) \ z) = ((x / y) \ 1) \ z.
(1 / x) * (y / ((1 / x) * y)) = x \ (y / ((1 / x) * y)).
x \ (y / ((1 / x) * y)) = (1 / x) * (y / ((1 / x) * y)).
(x \ 1) \ (y / (x * y)) = x * (y / (x * y)).
K(L(x,y,z),x \ 1) \ 1 = K(x \ 1,L(x,y,z)).
1 / ((x \ ((y * x) / y)) / ((y * x) / y)) = K((y * x) / y,x \ 1) \ x.
K((x * y) / x,y \ 1) \ y = 1 / ((y \ ((x * y) / x)) / ((x * y) / x)).
R(1 / x,x,x \ ((y * x) / y)) = x \ K((y * x) / y,x \ 1).
(1 / x) * (((1 / x) \ y) * ((z * (a(x \ 1,x,y) \ 1)) / z)) = y * ((z * (y \ ((1 / x) * (x * y)))) / z).
((x * y) / ((z * a(x \ 1,x,y)) / z)) * a(x \ 1,x,y) = ((1 / x) \ y) / ((z * a(x \ 1,x,y)) / z).
((1 / x) \ y) / ((z * a(x \ 1,x,y)) / z) = ((x * y) / ((z * a(x \ 1,x,y)) / z)) * a(x \ 1,x,y).
((1 / x) \ y) \ (x * y) = a(x \ 1,x,y) \ 1.
((1 / x) \ y) / a(x \ 1,x,y) = x * y.
(x * y) * a(x \ 1,x,y) = (1 / x) \ y.
(x * y) \ ((1 / x) \ y) = a(x \ 1,x,y).
(x * y) \ ((1 / x) \ y) = a(1 / x,x,y).
a(1 / x,x,y) = (x * y) \ ((1 / x) \ y).
a(x,x \ 1,y) * T(z,x \ y) = ((x \ 1) * y) \ (z * (x \ y)).
((1 / x) \ y) / y = x * a(x \ 1,x,y).
x * a(x \ 1,x,y) = ((1 / x) \ y) / y.
x \ (((1 / x) \ y) / y) = a(x \ 1,x,y).
x \ (((1 / x) \ y) / y) = a(1 / x,x,y).
a(1 / x,x,y) = x \ (((1 / x) \ y) / y).
x * K(x,T(x,y) \ 1) = T(x,T(x,y) \ 1).
x \ T(x,T(x,y) \ 1) = K(x,T(x,y) \ 1).
x * a(y \ 1,y,x) = y \ ((1 / y) \ x).
x \ (y \ ((1 / y) \ x)) = a(y \ 1,y,x).
x \ (y \ ((1 / y) \ x)) = a(1 / y,y,x).
a(1 / x,x,y) = y \ (x \ ((1 / x) \ y)).
a(x,x \ 1,y) * (x \ 1) = (x \ 1) * a(x,x \ 1,y).
K(T(x,y),x \ 1) \ 1 = K(x \ 1,T(x,y)).
(T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x.
(T(x,y) \ x) / x = (T(x,y) \ 1) * K(x,T(x,y) \ 1).
a(x,x \ 1,(y * x) / y) \ 1 = K(x \ 1,(y * x) / y).
a(x \ y,(x \ y) \ 1,y / x) \ 1 = K((x \ y) \ 1,y / x).
a(x,x \ 1,L(x,y,z)) \ 1 = K(x \ 1,L(x,y,z)).
a(L(x,y,z),L(x,y,z) \ 1,x) \ 1 = K(L(x,y,z) \ 1,x).
a(x,x \ 1,T(x,y)) \ 1 = K(x \ 1,T(x,y)).
((x / y) \ 1) \ y != x * z | (x / y) * (y / x) = z.
x * ((x / y) * (y / x)) = ((x / y) \ 1) \ y.
x \ (((x / y) \ 1) \ y) = (x / y) * (y / x).
a(x,x \ 1,(y * x) / y) = K((y * x) / y,x \ 1).
a(x \ y,(x \ y) \ 1,y / x) = K(y / x,(x \ y) \ 1).
((x \ 1) * (x * y)) \ (x \ (x * y)) = x * (y / (x * y)).
a(x,x \ 1,L(x,y,z)) = K(L(x,y,z),x \ 1).
a(L(x,y,z),L(x,y,z) \ 1,x) = K(x,L(x,y,z) \ 1).
a(R(x,y,z),R(x,y,z) \ 1,x) = K(x,R(x,y,z) \ 1).
a(T(x,y),T(x,y) \ 1,x) = K(x,T(x,y) \ 1).
a(x,x \ 1,T(x,y)) = K(T(x,y),x \ 1).
((x \ 1) * ((x \ 1) \ y)) \ (x \ ((x \ 1) \ y)) = (x * y) \ ((x * (x \ 1)) * ((x \ 1) \ y)).
(x * y) \ ((x * (x \ 1)) * ((x \ 1) \ y)) = ((x \ 1) * ((x \ 1) \ y)) \ (x \ ((x \ 1) \ y)).
a(1 / x,(1 / x) \ 1,y) = (x * y) \ ((1 / x) \ y).
(x * y) \ ((1 / x) \ y) = a(1 / x,(1 / x) \ 1,y).
a(x \ 1,y,z) \ a(x,x \ 1,y * z) = (((x \ 1) * y) * z) \ (x \ (y * z)).
(((x \ 1) * y) * z) \ (x \ (y * z)) = a(x \ 1,y,z) \ a(x,x \ 1,y * z).
a(x,x \ 1,y) * ((x \ y) \ z) = ((x \ 1) * y) \ z.
((x \ 1) * y) \ z = a(x,x \ 1,y) * ((x \ y) \ z).
(x \ y) \ ((x \ 1) * y) = a(x,x \ 1,y) \ 1.
((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y).
((x \ 1) * y) * a(x,x \ 1,y) = x \ y.
(x \ y) / a(x,x \ 1,y) = (x \ 1) * y.
(x \ 1) * y = (x \ y) / a(x,x \ 1,y).
a(x / y,y / x,x) = x \ (((x / y) \ 1) \ y).
x \ (((x / y) \ 1) \ y) = a(x / y,y / x,x).
(x * (y / (x * y))) * (x * y) = (((x * y) / y) \ 1) \ y.
((x / y) * (y / x)) \ (((x / y) \ 1) \ z) = (y / x) \ z.
(x / y) \ z = ((y / x) * (x / y)) \ (((y / x) \ 1) \ z).
((x / y) * (y / x)) * x = ((x / y) \ 1) \ y.
((x / y) \ 1) \ y = ((x / y) * (y / x)) * x.
((x / y) \ 1) * ((x / y) * (y / x)) = y / x.
x / (((y / x) * (x / y)) * y) = (y / x) \ 1.
(x / y) \ 1 = y / (((x / y) * (y / x)) * x).
((x / y) \ 1) \ (y / x) = (x / y) * (y / x).
(((x \ 1) \ y) / y) * (x \ 1) = x * (y / (x * y)).
(x * y) \ ((x \ 1) \ y) = x * (y / (x * y)).
(x * y) * (x * (y / (x * y))) = (x \ 1) \ y.
(x \ 1) \ ((x \ (x * y)) / (x * y)) = x * (y / (x * y)).
K(x,x \ 1) * (((x \ y) / y) * x) = a(x,x \ 1,y).
a(1 / x,(1 / x) \ 1,y) = x \ (((1 / x) \ y) / y).
x \ (((1 / x) \ y) / y) = a(1 / x,(1 / x) \ 1,y).
(x \ 1) * a(x,x \ 1,y) = R(1 / x,x,x \ y).
R(1 / x,x,x \ y) = (x \ 1) * a(x,x \ 1,y).
((x \ y) / y) * L(y,x \ 1,x) = (x \ 1) * y.
(x \ 1) * y = ((x \ y) / y) * L(y,x \ 1,x).
((x \ y) / y) \ (x \ 1) = a(x,x \ 1,y) \ 1.
(x \ 1) \ ((x \ y) / y) = a(x,x \ 1,y).
R(1 / (x / y),x / y,y / x) = (x / y) \ 1.
R(1 / x,x,(x \ y) / y) = x \ 1.
x \ 1 = R(1 / x,x,(x \ y) / y).
(x \ y) / y = (x \ 1) * a(x,x \ 1,y).
(x \ 1) * a(x,x \ 1,y) = (x \ y) / y.
((x \ y) / y) / a(x,x \ 1,y) = x \ 1.
L(T(x \ 1,y),y,a(x,x \ 1,y)) = ((x \ 1) \ (x \ y)) \ (x \ y).
(x \ y) / (a(x,x \ 1,y) * y) = x \ 1.
a(L(x,y,z),L(x,y,z) \ 1,x) = x \ T(x,L(x,y,z) \ 1).
x \ T(x,L(x,y,z) \ 1) = a(L(x,y,z),L(x,y,z) \ 1,x).
T(x,y) \ ((x \ 1) \ K(y \ (y / (x \ 1)),y)) = a(x,x \ 1,T(x,y)).
a(T(x,y),T(x,y) \ 1,x) = x \ T(x,T(x,y) \ 1).
x \ T(x,T(x,y) \ 1) = a(T(x,y),T(x,y) \ 1,x).
L(x,y \ 1,y) \ ((y \ 1) \ ((y \ 1) * x)) = a(y,y \ 1,L(x,y \ 1,y)).
x \ ((((y \ x) * y) \ 1) \ K(y,y \ x)) = a((y \ x) * y,((y \ x) * y) \ 1,x).
a(1 / x,(1 / x) \ 1,y) = y \ (x \ ((1 / x) \ y)).
x \ (y \ ((1 / y) \ x)) = a(1 / y,(1 / y) \ 1,x).
a(x,x \ 1,y) * y = (x \ 1) \ (x \ y).
(x * y) * a(y * x,(y * x) \ 1,x * y) = ((y * x) \ 1) \ K(x,y).
(x * y) * a(x,x \ 1,x * y) = (x \ 1) \ y.
x \ ((y \ 1) \ (y \ x)) = a(y,y \ 1,x).
x * a(y,y \ 1,x) = (y \ 1) \ (y \ x).
(x * R(1 / y,y,y \ x)) \ (y \ x) = K(y \ 1,(y \ 1) \ (y \ x)).
(x \ y) \ (y * R(1 / x,x,x \ y)) = K((x \ 1) \ (x \ y),x \ 1).
(x * y) * R(1 / y,y,x) = y \ T(x * y,y \ 1).
(((x * ((1 / x) * y)) \ y) / y) * ((x * ((1 / x) * y)) * (y / (x * ((1 / x) * y)))) = ((x \ y) / y) * x.
(x / y) * ((y / x) * (y / (y / x))) = y / (y / x).
((x \ y) / y) * (x * (y / x)) = y / x.
x / y = ((y \ x) / x) * (y * (x / y)).
((x \ y) / y) * (x * (y / x)) = 1 * (y / x).
R(1 / ((x \ y) / y),(x \ y) / y,y) * (x \ T(y,x \ 1)) = T(y,(x \ y) / y).
T(x,(y \ x) / x) = R(1 / ((y \ x) / x),(y \ x) / x,x) * (y \ T(x,y \ 1)).
a(x,y,z) \ ((u \ (a(x,y,z) \ 1)) / (a(x,y,z) \ 1)) = u \ T(a(x,y,z) \ 1,u \ 1).
x \ T(a(y,z,u) \ 1,x \ 1) = a(y,z,u) \ ((x \ (a(y,z,u) \ 1)) / (a(y,z,u) \ 1)).
(x / y) \ T(x,(x / y) \ 1) = x * (y / x).
(x * y) * (T(x,y) / (x * y)) = y \ T(x * y,y \ 1).
x \ T(y * x,x \ 1) = (y * x) * (T(y,x) / (y * x)).
x * (y * ((x \ y) / y)) = T(y,x \ 1).
((x \ 1) \ (x \ y)) * (x \ 1) = y * R(1 / x,x,x \ y).
x \ T(y,x \ 1) = y * ((x \ y) / y).
x * ((y \ x) / x) = y \ T(x,y \ 1).
x * R(1 / y,y,y \ x) = y \ T(x,y \ 1).
x * (a(y,y \ 1,x) * (y \ 1)) = ((y \ 1) \ (y \ x)) * (y \ 1).
((x \ 1) \ (x \ y)) * (x \ 1) = y * (a(x,x \ 1,y) * (x \ 1)).
x * (a(y,y \ 1,x) * (y \ 1)) = y \ T(x,y \ 1).
x \ T(y,x \ 1) = y * (a(x,x \ 1,y) * (x \ 1)).
a(x,x \ 1,y) * (y * (x \ 1)) = x \ T(y,x \ 1).
a(x,x \ 1,T(y,x \ 1)) = a(x,x \ 1,y).
a(x,x \ 1,T(y,x \ 1)) = R(x,x \ 1,y) / x.
R(x,x \ 1,y) / x = a(x,x \ 1,T(y,x \ 1)).
R(x,x \ 1,T(y,x \ 1)) = R(x,x \ 1,y).
R(x,x \ 1,y) = R(x,x \ 1,T(y,x \ 1)).
(1 / T(x,y)) * a(T(x,y) \ 1,T(x,y),y) = T(y,T(x,y)) / (x * y).
R(T(1 / x,y * x),x,y) = (y * x) \ T(y,x).
a(x / y,(x / y) \ 1,y * (x / y)) = (x / y) * (y / x).
a(x,x \ 1,y * x) = x * (y / (x * y)).
((x \ y) / y) * (x * (y / x)) = ((1 / x) * x) * (y / x).
R(1 / x,x,y / x) = (x \ y) / y.
R(1 / x,x,y / x) = R(1 / x,x,x \ y).
R(1 / x,x,x \ y) = R(1 / x,x,y / x).
R(1 / ((x * y) / x),(x * y) / x,1 / y) * (((x * y) / x) / y) = T(1 / y,(x * y) / x).
T(1 / x,(y * x) / y) = R(1 / ((y * x) / y),(y * x) / y,1 / x) * (((y * x) / y) / x).
a(x,x \ 1,y * x) = x * R(1 / x,x,y).
x * R(1 / x,x,y) = a(x,x \ 1,y * x).
R(K(x,x \ 1) / x,1 / (1 / x),y) = T(y,1 / (1 / x)) / (y * (1 / (1 / x))).
T(x,1 / (1 / y)) / (x * (1 / (1 / y))) = R(K(y,y \ 1) / y,1 / (1 / y),x).
R(1 / (x \ 1),x \ 1,y) = R(x,x \ 1,T(y,x \ 1)).
R(x,x \ 1,T(y,x \ 1)) = R(1 / (x \ 1),x \ 1,y).
(x \ (x / ((y \ 1) \ 1))) / ((x \ (x / y)) * y) = R(1 / y,y,x \ (x / y)).
R(1 / x,x,T(y,x)) = R(1 / x,x,y).
T(R(1 / x,x,y),y * x) = (y * x) \ T(y,x).
R(1 / T(x,y),T(x,y),y) = T(y,T(x,y)) / (x * y).
T(x,T(y,x)) / (y * x) = R(1 / T(y,x),T(y,x),x).
R(1 / x,x,y / x) = T(y / x,x) / y.
T(x / y,y) / x = R(1 / y,y,x / y).
T(x,y) = R(1 / y,y,x) * (x * y).
R(1 / x,x,y) * (y * x) = T(y,x).
T(x,y) / (x * y) = R(1 / y,y,x).
x * ((1 / y) \ z) != a(y \ 1,y,u) * z | x = R(1 / y,y,u).
x * (a(y \ 1,y,x) * y) = (1 / y) \ T(x,y).
(1 / x) \ T(y,x) = y * (a(x \ 1,x,y) * x).
(T(x,y) / (x * y)) * ((1 / y) \ z) = a(y \ 1,y,x) * z.
a(x \ 1,x,y) * (y * x) = (1 / x) \ T(y,x).
a(x \ 1,x,T(y,x)) = a(x \ 1,x,y).
(x * y) / (L(x,y,y \ 1) * y) = a(y \ 1,y,T(x,y)).
(x * y) / (L(x,y,y \ 1) * y) = (T(x,y) / (x * y)) * y.
(((1 / x) \ y) / y) * (1 / x) = x * (y / (x * y)).
R(x \ 1,x,y) * ((y / (x * y)) \ 1) = K(x \ 1,x).
(1 / x) * (y / ((1 / x) * y)) = ((x \ y) / y) * x.
(((1 / x) \ y) / y) * (1 / x) = y / ((x \ 1) * (x * y)).
x / ((y \ 1) * (y * x)) = (((1 / y) \ x) / x) * (1 / y).
(x * y) / (L(x,y,y \ 1) * y) = ((y \ (x * y)) / (x * y)) * y.
T((((x \ y) / y) * x) \ y,x \ 1) = x * (((x \ 1) \ ((1 / x) * y)) * (x \ 1)).
x * (((x \ 1) \ ((1 / x) * y)) * (x \ 1)) = T((((x \ y) / y) * x) \ y,x \ 1).
x / (y * ((1 / y) * x)) = ((y \ x) / x) * y.
(((x \ y) / y) * x) \ y = x * ((1 / x) * y).
a(1 / x,x,x \ y) \ y = x * ((1 / x) * y).
R(x \ 1,x,y) \ K(x \ 1,x) = (y / (x * y)) \ 1.
a(1 / x,x,(x \ 1) * y) \ y = x * ((1 / x) * y).
(x / (y * x)) \ 1 = (y \ 1) * (R(y \ 1,y,x) \ y).
(x \ 1) * (R(x \ 1,x,y) \ x) = (y / (x * y)) \ 1.
(x \ 1) * (R(x \ 1,x,y) \ z) = a(1 / x,x,y) \ z.
a(1 / x,x,y) \ z = (x \ 1) * (R(x \ 1,x,y) \ z).
(x * R(x \ (y / z),u,w)) * z = x * (z * R(z \ (x \ y),u,w)).
x * (y * R(y \ (x \ z),u,w)) = (x * R(x \ (z / y),u,w)) * y.
(x \ 1) \ T(y,a(x \ 1,x,z)) = T(y / (x \ 1),R(x \ 1,x,z)).
T(x / (y \ 1),R(y \ 1,y,z)) = (y \ 1) \ T(x,a(y \ 1,y,z)).
T(x / y,y * a(y,z,u)) = y \ T(x,a(y,z,u)).
x \ T(y,a(x,z,u)) = T(y / x,x * a(x,z,u)).
x \ (a(x,y,z) \ (u * a(x,y,z))) = T(u / x,x * a(x,y,z)).
T(x / y,y * a(y,z,u)) = y \ (a(y,z,u) \ (x * a(y,z,u))).
a(1 / x,x,(x \ 1) * y) = a(1 / x,x,x \ y).
a(1 / x,x,(x \ 1) * (x * y)) = a(1 / x,x,y).
a(x,y,z) \ (x \ (u * a(x,y,z))) = T(u / x,x * a(x,y,z)).
T(x / y,y * a(y,z,u)) = a(y,z,u) \ (y \ (x * a(y,z,u))).
(x \ 1) * (R(x \ 1,x,(x \ 1) * y) \ y) = x * ((1 / x) * y).
R(x \ 1,x,(1 / x) * y) = R(x \ 1,x,(x \ 1) * y).
R(x \ 1,x,(x \ 1) * y) = R(x \ 1,x,(1 / x) * y).
a(1 / x,x,(x \ 1) * (x * y)) = (1 / (1 / x)) * (y / (x * y)).
K(x \ 1,x) * a(x,x \ 1,y) = a(1 / x,x,(x \ 1) * y).
a(1 / x,x,(x \ 1) * y) = K(x \ 1,x) * a(x,x \ 1,y).
x * a(y \ x,y,y \ 1) = (x * (y \ 1)) * y.
a(x \ y,x,x \ 1) = y \ ((y * (x \ 1)) * x).
x \ ((x * (y \ 1)) * y) = a(y \ x,y,y \ 1).
x \ (y * T(x * (y \ 1),y)) = a(y \ x,y,y \ 1).
(x * y) * (a(y,z,z \ 1) * u) = (x * R(y,z,z \ 1)) * u.
(x * R(y,z,z \ 1)) * u = (x * y) * (a(y,z,z \ 1) * u).
(x / y) \ L(x,z,y) = (y / x) * L(x,z,y).
(x / y) * L(y,z,x) = (y / x) \ L(y,z,x).
(x / y) \ L(x,z,y) = y / a(y,z,x).
x / a(x,y,z) = (z / x) \ L(z,y,x).
((a(x,y,z) \ x) * (z / x)) \ L(z,y,x) = K(z / x,(z / x) \ L(z,y,x)).
L(x,y,z) \ ((a(z,y,x) \ z) * (x / z)) = K((x / z) \ L(x,y,z),x / z).
(x / y) \ L(x,z,y) = a(y,z,x) \ y.
(L(x,y,z) / z) * a(z,y,x) = x / z.
x / y = (L(x,z,y) / y) * a(y,z,x).
(1 / x) * a(x,y,z) = a(x,y,z) / x.
a(x,y,z) / x = (1 / x) * a(x,y,z).
x \ (y * R(y \ x,z,z \ 1)) = a(y \ x,z,z \ 1).
a(x \ y,z,z \ 1) = y \ (x * R(x \ y,z,z \ 1)).
a(x,y,a(y,z,u)) = 1.
(x * (y * a(y,z,u))) * w = (x * y) * (a(y,z,u) * w).
L(a(x,y,z),x,u) = a(x,y,z).
R(x,y,a(y,z,u)) = x.
(x * a(y,z,u)) / y = (x / y) * a(y,z,u).
(x * a(x,y,z)) \ (u * a(x,y,z)) = T(u / x,x * a(x,y,z)).
T(x / y,y * a(y,z,u)) = (y * a(y,z,u)) \ (x * a(y,z,u)).
(x * y) * a(y,z,u) = x * (y * a(y,z,u)).
x * (y * a(y,z,u)) = (x * y) * a(y,z,u).
(x / y) * (y * a(y,z,u)) = x * a(y,z,u).
(x / y) * R(y,z,T(u,y * z)) = x * a(y,z,u).
(x * (a(y,z,u) \ y)) \ w = a(y,z,u) * ((x * y) \ w).
(x * y) / a(y,z,u) = x * (a(y,z,u) \ y).
(x \ 1) * a(x \ 1,x,y) = R(x \ 1,x,y).
(x \ 1) * a(1 / x,x,y) = R(x \ 1,x,y).
R(x \ 1,T(x,x \ 1),y) = (x \ 1) * a(1 / x,x,y).
(x * T(y,a(y,z,u))) / a(y,z,u) = x * (a(y,z,u) \ y).
R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y).
K(x \ 1,x) * (y / (x * y)) = R(x \ 1,T(x,x \ 1),y).
T(x / (y * x),y) != z * (x / (y * x)) | K(y \ 1,y) = z.
K(x \ 1,x) * (y / (x * y)) = T(y / (x * y),x).
T(x / (y * x),y) = K(y \ 1,y) * (x / (y * x)).
K(R(1 / x,x,y) \ 1,R(1 / x,x,y)) * (1 / a(x \ 1,x,y)) = (R(1 / x,x,y) \ 1) * (1 / x).
(1 / (1 / x)) * (x \ (y / (x * y))) = T(y / (x * y),x).
T(x / (y * x),y) = (1 / (1 / y)) * (y \ (x / (y * x))).
x \ a(x \ 1,y,z) != u * a(x \ 1,y,z) | x \ 1 = u.
(x * T(y,a(y,z,u))) / a(y,z,u) = (x / a(y,z,u)) * y.
(x / a(y,z,u)) * y = (x * T(y,a(y,z,u))) / a(y,z,u).
(x / a(y,z,u)) / y = x / (y * a(y,z,u)).
(x / (y * a(y,z,u))) * y = x / a(y,z,u).
((x / (y * x)) * y) / (x / (y * x)) = 1 / (1 / y).
a(1 / x,x,y) / (y / (x * y)) = 1 / (1 / x).
(1 / (1 / x)) * (y / (x * y)) = a(1 / x,x,y).
(x / y) * (z / ((y \ 1) * z)) = x * a(y,y \ 1,z).
x * (y \ R(y,x,T(y,x))) = T(y * x,y) / y.
T(x * y,x) / x = y * (x \ R(x,y,T(x,y))).
T(x / (y * x),y) = R(y \ 1,T(y,y \ 1),x).
T(x,x \ 1) * a(y,z,x) = (x \ 1) \ a(y,z,x).
(x \ 1) \ a(y,z,x) = T(x,x \ 1) * a(y,z,x).
K(x,T(y,y \ 1) / x) / (x * (T(y,y \ 1) / x)) = R(y \ 1,y,K(x,T(y,y \ 1) / x)).
R(x \ 1,x,y) \ y = T(x,x \ 1) * y.
((x \ 1) * y) / (x * ((1 / x) * y)) = R(x \ 1,x,(x \ 1) * y).
R(x \ 1,x,(x \ 1) * y) = ((x \ 1) * y) / (x * ((1 / x) * y)).
a(x \ 1,(x \ 1) \ 1,y) \ z = (x \ 1) * (R(x \ 1,x,y) \ z).
(x \ 1) * (R(x \ 1,x,y) \ z) = a(x \ 1,(x \ 1) \ 1,y) \ z.
((x \ y) / y) * K(x \ 1,x) = R(x \ 1,x,x \ y).
R(x \ 1,x,x \ y) = ((x \ y) / y) * K(x \ 1,x).
x / (T(y,y \ 1) * x) = R(y \ 1,y,x).
R(x \ 1,x,y) = y / (T(x,x \ 1) * y).
R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y).
R(x \ 1,T(x,x \ 1),y) = R(x \ 1,x,y).
K(x \ 1,x) * a(x,x \ 1,y) = (x \ 1) * R(x,x \ 1,y).
(x \ 1) * R(x,x \ 1,y) = K(x \ 1,x) * a(x,x \ 1,y).
(x \ 1) * a(x \ 1,y,z) = x \ a(x \ 1,y,z).
x \ a(x \ 1,y,z) = (x \ 1) * a(x \ 1,y,z).
(1 / x) \ a(x,y,z) = x * a(x,y,z).
a(x,y,z) / (x * a(x,y,z)) = 1 / x.
((x / y) * T((x / y) \ x,z)) * R(y,u,w) = ((x / y) * R(y,u,w)) * T(y,z).
((x / y) * R(y,z,u)) * T(y,w) = ((x / y) * T((x / y) \ x,w)) * R(y,z,u).
L(x \ R(x,y,z),x,(u / R(x,y,z)) / x) = (u / R(x,y,z)) \ (u / x).
a((1 / R(x,y,z)) \ 1,(x / R(x,y,z)) / x,x) = (x / (x / R(x,y,z))) * ((x / R(x,y,z)) / x).
(x / R(x,y,z)) / x = 1 / R(x,y,z).
(x / R(y,z,T(u,y * z))) * y = x / a(y,z,u).
(x / R(1 / y,y,z)) * (1 / y) = x / a(y \ 1,y,z).
K(x \ 1,x) / R(x,y,z) = ((x \ 1) / R(x,y,z)) * x.
(x / R(T(y,x),z,u)) * T(y,x) = (y * x) / R(T(y,x),z,u).
(x * y) / R(T(x,y),z,u) = (y / R(T(x,y),z,u)) * T(x,y).
(1 / R(x,y,z)) * x = x / R(x,y,z).
x / R(x,y,z) = (1 / R(x,y,z)) * x.
L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y).
R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y).
R(x \ 1,x,y) = R(x \ 1,(x \ 1) \ 1,y).
R(x,1 / x,y) = R(x,x \ 1,y).
a(x,x \ 1,y) * x = R(x,1 / x,y).
(1 / x) \ a(x,x \ 1,y) = R(x,x \ 1,y).
a(x,y,z) / R(x,y,T(z,x * y)) = 1 / x.
(1 / (1 / x)) * R(1 / x,x,y) = a(1 / x,x,y).
((x * (1 / y)) * R(y,z,u)) / (R(y,z,u) / y) = R(x,1 / y,R(y,z,u)).
R(x,1 / y,R(y,z,u)) = ((x * (1 / y)) * R(y,z,u)) / (R(y,z,u) / y).
((1 / x) * R(x,y,z)) * x = R(x,y,z).
(1 / x) \ (R(x,y,z) / x) = R(x,y,z).
(R(x,y,z) / x) / R(x,y,z) = 1 / x.
(x / y) * R(y,z,T(u,y * z)) = (x * (y * a(y,z,u))) / y.
(x * (y * a(y,z,u))) / y = (x / y) * R(y,z,T(u,y * z)).
(x / y) * R(y,y \ 1,z) = x * a(y,y \ 1,z).
(x / y) * R(y,x,T(y,x)) = T(y * x,y) / y.
T(x * y,x) / x = (y / x) * R(x,y,T(x,y)).
((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y.
((x / R(y,z,u)) / y) * R(y,z,u) = x / y.
x / y = ((x / R(y,z,u)) / y) * R(y,z,u).
(1 / x) * R(x,y,z) = R(x,y,z) / x.
R(x,y,z) / x = (1 / x) * R(x,y,z).
(x * y) / R(y,z,u) = (x / R(y,z,u)) * y.
(x * R(y,z,u)) / y = (x / y) * R(y,z,u).
((x / R(y,z,u)) * y) * R(y,z,u) = x * y.
x * y = ((x / R(y,z,u)) * y) * R(y,z,u).
((x * y) * R(y,z,u)) / y = x * R(y,z,u).
(x * R(y,z,u)) * y = (x * y) * R(y,z,u).
(x * y) * R(y,z,u) = (x * R(y,z,u)) * y.
x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y.
(x * R(x \ y,z,u)) * w = x * (w * R(w \ (x \ (y * w)),z,u)).
(x * y) * R((x * y) \ ((x * z) * y),u,w) = (x * R(z,u,w)) * y.
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
(T(x,y) \ L(x,z,u)) \ (T(x,y) \ x) = a(u,z,T(x,T(x,y) \ 1)).
a(x,y,T(z,T(z,u) \ 1)) = (T(z,u) \ L(z,y,x)) \ (T(z,u) \ z).
a(x,y,(z \ 1) \ (z \ u)) = (z \ L(u,y,x)) \ (z \ u).
(x \ L(y,z,u)) \ (x \ y) = a(u,z,(x \ 1) \ (x \ y)).
x * (a(y,z,u / (x \ 1)) \ u) = L(x * u,z,y).
L(a((x \ 1) \ 1,y,y \ 1),x,x \ 1) = (x \ 1) * R((x \ 1) \ 1,y,y \ 1).
(x \ L(x * y,z,u)) \ y = a(u,z,(x \ 1) \ y).
a(x,y,z / (u \ 1)) \ z = u \ L(u * z,y,x).
L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y.
((x \ 1) \ 1) * y != (x \ 1) \ L(z,x,x \ 1) | y = z.
a(x,y,T(z,u)) \ (z \ T(z,u)) = z \ L(T(z,u),y,x).
L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u).
x \ L(T(x,y),z,u) = L(T(x,y),z,u) * (x \ 1).
(x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u).
x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u).
x \ L(x * (y * (x \ 1)),z,u) = L(y,z,u) * (x \ 1).
L(x,y,z) * (u \ 1) = u \ L(u * (x * (u \ 1)),y,z).
L(x / (y \ 1),z,u) * (y \ 1) = y \ L(y * x,z,u).
L(x / (y \ 1),z,u) * (y \ 1) = y \ L(1 \ (y * x),z,u).
x \ L(1 \ (x * y),z,u) = L(y / (x \ 1),z,u) * (x \ 1).
(x * K(y,y \ 1)) / (1 / y) = x / (y \ 1).
x / (y \ 1) = (x * K(y,y \ 1)) / (1 / y).
R(x,(y \ 1) \ 1,K(y \ 1,y)) = x.
R(x,y \ 1,K(y,y \ 1)) = x.
R(x,y,K(y \ 1,y)) = x.
R(x,y,L(K(y \ 1,y),z,u)) = x.
(x * (1 / (1 / y))) * K(y,y \ 1) = x * y.
(x * (1 / (1 / y))) * (K(y,y \ 1) * z) = (x * y) * z.
(x * y) * z = (x * (1 / (1 / y))) * (K(y,y \ 1) * z).
(x * y) * L(K(y \ 1,y),z,u) = x * (y * L(K(y \ 1,y),z,u)).
L(K(x \ 1,x),x,y) = K(x \ 1,x).
(x * y) * (K(y \ 1,y) * z) = (x * (1 / (1 / y))) * z.
(x * (1 / (1 / y))) * z = (x * y) * (K(y \ 1,y) * z).
(x / y) * (1 / (1 / y)) = x * K(y \ 1,y).
x * K(y \ 1,y) = (x / y) * (1 / (1 / y)).
(x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y).
(x * y) * K(y \ 1,y) = x * (1 / (1 / y)).
(x * y) * K(y \ 1,y) = x * L(y,y \ 1,y).
(x * (1 / (1 / y))) / y = x * K(y \ 1,y).
(x * (1 / (1 / y))) / y = x * K(1 / y,y).
(x * L(y,1 / y,y)) / y = x * K(1 / y,y).
(x * K(1 / y,y)) * y = x * L(y,1 / y,y).
x * L(y,1 / y,y) = (x * K(1 / y,y)) * y.
(x * L(y,1 / y,y)) * 1 = (x * K(1 / y,y)) * y.
K(x \ 1,x) * ((y / x) \ (y * (1 / x))) = a(y / x,x,x \ 1).
K(x \ 1,x) * ((y / x) \ (y * (1 / x))) = a(y / x,x,1 / x).
K(x \ 1,x) * (y \ ((y * x) * (1 / x))) = a(y,x,1 / x).
K(1 / x,x) * (y \ ((y * x) * (1 / x))) = a(y,x,1 / x).
(x * L(y,1 / y,y)) * a(x,K(1 / y,y),y) = (x * K(1 / y,y)) * y.
(x * K(y,1 / y)) \ z = K(1 / y,y) * (x \ z).
K(1 / x,x) * x = L(x,1 / x,x).
K(x,1 / x) \ y = K(1 / x,x) * y.
K(x,x \ 1) \ y = K(1 / x,x) * y.
K(1 / x,x) = K(x \ 1,x).
x * y != 1 / (1 / x) | y = K(x \ 1,x).
x * K(1 / x,x) = 1 / (1 / x).
x / K(y,1 / y) = x * K(1 / y,y).
x * K(1 / y,y) = x / K(y,1 / y).
R(x / K(y,1 / y),K(y,1 / y),K(1 / y,y)) = x * K(1 / y,y).
x / a(y \ 1,y,L(y,z,u) \ 1) = x * K(L(y,z,u),L(y,z,u) \ 1).
R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)).
x / K(y \ 1,y) = x * K(y,y \ 1).
x * K(y,y \ 1) = x / K(y \ 1,y).
R(x / K(y \ 1,y),K(y \ 1,y),K(y,y \ 1)) = x * K(y,y \ 1).
((x * K(y \ 1,y)) * (z * u)) \ ((x * (K(y \ 1,y) * z)) * u) = a(x * K(y \ 1,y),L(z,K(y \ 1,y),x),u).
(x * (y * (a(z,u,w) * v5))) \ ((x * (y * a(z,u,w))) * v5) = a(x,y * a(z,u,w),L(v5,a(z,u,w),y)).
(x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y.
(x * ((y * (x \ z)) / y)) * u = (x * u) * ((y * ((x * u) \ (z * u))) / y).
L(x,a(y,z,u) \ a(w,v5,v6),v7) = x.
L(x \ 1,y,z) * (L(1 / x,y,z) \ u) = K(x \ 1,x) * u.
K(x \ 1,x) * y = L(x \ 1,z,u) * (L(1 / x,z,u) \ y).
a(x * y,y \ 1,(y \ 1) \ 1) = K(y,y \ 1) * a(x,y,y \ 1).
K(x,x \ 1) * a(y,x,x \ 1) = a(y * x,x \ 1,(x \ 1) \ 1).
(x * ((y * (x \ (z / u))) / y)) * u = (x * u) * ((y * ((x * u) \ z)) / y).
(x * (a(y,z,u) \ a(w,v5,v6))) * v7 = x * ((a(y,z,u) \ a(w,v5,v6)) * v7).
K(x * a(y,z,u),L(u,z,y)) = (u * T(x,a(y,z,u))) \ (x * u).
(x * T(y,a(z,u,x))) \ (y * x) = K(y * a(z,u,x),L(x,u,z)).
L(1 / x,y,z) * (K(x \ 1,x) * u) = L(x \ 1,y,z) * u.
K(L(x,y,z) \ 1,L(x,y,z)) = a(x \ 1,x,L(x,y,z) \ 1).
a(x \ 1,x,L(x,y,z) \ 1) = K(L(x,y,z) \ 1,L(x,y,z)).
a(L((x \ y) \ z,x \ y,x) \ 1,y \ (x * z),u) = a(((x \ y) \ z) \ 1,(x \ y) \ z,u).
a(L(x,y,z) \ 1,L(x,y,z),u) = a(x \ 1,x,u).
a(x \ (a(y,z,x) * 1),L(x,z,y),u) = a(x \ 1,x,u).
a(x \ (a(y,z,x) * 1),L(x,z,y),u) = a(1 / x,x,u).
(1 / x) * ((y * a(z,u,x)) / y) = ((y * a(z,u,x)) / y) / x.
((x * a(y,z,u)) / x) / u = (1 / u) * ((x * a(y,z,u)) / x).
((x * (1 * a(y,z,u))) / x) / u = (1 / u) * ((x * a(y,z,u)) / x).
R(x,L(y,z,u),a(u,z,y) * w) = R(x,y,w).
R(x,y,z) = R(x,L(y,u,w),a(w,u,y) * z).
R(x,y,a(z,u,y) \ w) = R(x,L(y,u,z),w).
x * (L(y,z,u) * w) != (v5 * y) * (a(u,z,y) \ w) | x = R(v5,L(y,z,u),w).
(x \ 1) * (a(y,z,x \ 1) \ (L(1 / x,z,y) \ u)) = K(x \ 1,x) * u.
a(x,L(y,z,u),T(a(u,z,y),w)) = 1.
(a(x,y,z) \ a(u,w,v5)) * a(x,y,z) = a(u,w,T(v5,a(x,y,z))).
a(x,y,T(z,a(u,w,v5))) = (a(u,w,v5) \ a(x,y,z)) * a(u,w,v5).
a(x,y,z) \ (a(u,w,v5) * a(x,y,z)) = a(u,w,T(v5,a(x,y,z))).
(L(L(x,y,z),u,w) * v5) \ (L(x,u,w) * v5) = a(z,y,L(T(x,v5),u,w)).
K(x,a(y,z,u)) * a(y,z,u) = a(y,z,u) * K(x,a(y,z,u)).
a(x,y,z) * K(u,a(x,y,z)) = K(u,a(x,y,z)) * a(x,y,z).
(x / (K(y,a(z,u,w)) * v5)) * a(z,u,w) = x / (T(a(z,u,w),y) \ v5).
T(a(x,y,z),u) \ (z * (a(x,y,z) * w)) = K(u,a(x,y,z)) * (z * w).
a(x,y,z) * (T(a(x,y,z),u) \ w) = K(u,a(x,y,z)) * w.
K(x,a(y,z,u)) * w = a(y,z,u) * (T(a(y,z,u),x) \ w).
T(a(x,y,z),u) \ (a(x,y,z) * w) = K(u,a(x,y,z)) * w.
K(x,a(y,z,u)) * w = T(a(y,z,u),x) \ (a(y,z,u) * w).
K(x,a(y,z,u)) * (a(y,z,u) \ w) = T(a(y,z,u),x) \ w.
K(x,a(y,z,u)) * (a(y,z,u) \ w) = (T(a(y,z,u),x) \ 1) * w.
(T(a(x,y,z),u) \ 1) * w = K(u,a(x,y,z)) * (a(x,y,z) \ w).
a(x,y,z) \ ((T(a(x,y,z),u) \ 1) \ w) = K(u,a(x,y,z)) \ w.
K(x,a(y,z,u)) / a(y,z,u) = T(a(y,z,u),x) \ 1.
K(x,a(y,z,u)) / a(y,z,u) = 1 / T(a(y,z,u),x).
1 / T(a(x,y,z),u) = K(u,a(x,y,z)) / a(x,y,z).
K(x,a(y,z,u)) \ 1 = K(a(y,z,u),x).
x / K(y,a(z,u,w)) = x * K(a(z,u,w),y).
x * K(a(y,z,u),w) = x / K(w,a(y,z,u)).
K(x,a(y,z,u)) * K(a(y,z,u),x) = 1.
(x * K(y,a(z,u,w))) * K(a(z,u,w),y) = x.
x / K(a(y,z,u),w) = x * K(w,a(y,z,u)).
x * K(y,a(z,u,w)) = x / K(a(z,u,w),y).
x \ (y * (x * a(z,u,T(x,w)))) = T(y * a(z,u,T(x,w)),x).
a(x,y,T(z,u)) * z = z * a(x,y,T(z,u)).
x * a(y,z,T(x,u)) = a(y,z,T(x,u)) * x.
(x / T(a(y,z,u),w)) * a(y,z,u) = x * K(w,a(y,z,u)).
(x / T(a(y,z,u),w)) * v5 = x * (T(a(y,z,u),w) \ v5).
(x / y) * (K(a(z,u,w),v5) * a(z,u,w)) = x / (T(a(z,u,w),v5) \ y).
x / (T(a(y,z,u),w) \ v5) = (x / v5) * (K(a(y,z,u),w) * a(y,z,u)).
(a(x,y,z) \ u) * a(x,y,z) = u * K(a(x,y,z) \ 1,u).
x * K(a(y,z,u) \ 1,x) = (a(y,z,u) \ x) * a(y,z,u).
K(a(x,y,z) \ u,a(x,y,z)) = K(a(x,y,z) \ 1,u).
K(a(x,y,z) \ 1,u) = K(a(x,y,z) \ u,a(x,y,z)).
x \ T(x,a(y,z,u)) = K(x,a(y,z,u)).
K(a(x,y,z) \ 1,a(x,y,z) * u) = K(u,a(x,y,z)).
x * K(x,a(y,z,u)) = T(x,a(y,z,u)).
a(x,y,z) \ K(z \ u,a(x,y,z)) = (L(z,y,x) \ u) \ (z \ u).
a(x,y,z) * ((a(x,y,z) * u) \ u) = K(u,a(x,y,z)).
a(x,y,z) \ K(u,a(x,y,z)) = (a(x,y,z) * u) \ u.
K(a(x,y,z),u) \ 1 = K(u,a(x,y,z)).
K(x,a(y,z,u)) = K(a(y,z,u),x) \ 1.
a(x,y,z) \ K(u,a(x,y,z)) = T(a(x,y,z),u) \ 1.
T(a(x,y,z),u) \ a(x,y,z) = K(u,a(x,y,z)).
K(x,a(y,z,u)) = T(a(y,z,u),x) \ a(y,z,u).
T(a(x,y,z),u) \ (u \ w) = (a(x,y,z) * u) \ w.
(a(x,y,z) * u) \ w = T(a(x,y,z),u) \ (u \ w).
T(a(x,y,z),u) \ 1 = (a(x,y,z) * u) \ u.
(a(x,y,z) * u) \ u = T(a(x,y,z),u) \ 1.
(x \ y) * (T(a(z,u,x),x \ y) * w) = (L(x,u,z) \ y) * w.
T(a(x,y,z) * u,u) = T(a(x,y,z),u) * u.
(T(a(x,y,z),u) \ 1) * w = T(a(x,y,z),u) \ w.
T(a(x,y,z),u) \ w = (T(a(x,y,z),u) \ 1) * w.
(x / T(a(y,z,u),w)) \ v5 = T(a(y,z,u),w) * (x \ v5).
(x * (T(a(y,z,u),w) \ v5)) / v5 = x / T(a(y,z,u),w).
x / T(a(y,z,u),w) = (x * (T(a(y,z,u),w) \ v5)) / v5.
1 / T(a(x,y,z),u) = T(a(x,y,z),u) \ 1.
T(a(x,y,z),u) \ 1 = 1 / T(a(x,y,z),u).
(a(x,y,z) * u) \ (u * w) = T(a(x,y,z),u) \ w.
T(a(x,y,z),u) \ w = (a(x,y,z) * u) \ (u * w).
x * (T(a(y,z,u),x) * w) = (a(y,z,u) * x) * w.
(a(x,y,z) * u) * w = u * (T(a(x,y,z),u) * w).
x / (T(a(y,z,u),w) \ v5) = (x / v5) * T(a(y,z,u),w).
R(x,T(a(y,z,u),w) \ 1,v5) = x.
R(x,T(a(y,z,u),w),v5) = x.
L(x,T(a(y,z,u),w),v5) = x.
x * T(a(y,z,x),L(x,z,y) * u) = a(y,z,T(x,u)) * x.
a(x,y,T(z,u)) * z = z * T(a(x,y,z),L(z,y,x) * u).
T(a(T(x,y),z,T(x,z)),T(x,T(x,y) * z) * u) = a(T(x,y),z,T(T(x,z),u)).
T(a((x * y) / x,x,R(y,x,y)),y * z) = a((x * y) / x,x,T(R(y,x,y),z)).
(L(x,y,z) * u) * T(a(z,y,T(x,u)),w) = T(a(z,y,x),w) * (L(x,y,z) * u).
a(x,y,T(z,L(z,y,x) \ u)) = T(a(x,y,z),u).
T(a(x,y,z),u) = a(x,y,T(z,L(z,y,x) \ u)).
T(a(x,y,z),L(z,y,x) * u) = a(x,y,T(z,u)).
a(x,L(y,z,u),T(a(u,z,y),w)) = (a(u,z,y) * w) \ (a(u,z,y) * w).
(a(x,y,z) * u) \ (a(x,y,z) * u) = a(w,L(z,y,x),T(a(x,y,z),u)).
R(L(x,y,z) * u,a(z,y,T(x,u)),K(u,x)) \ (u * x) = ((L(x,y,z) * u) \ (x * u)) * K(u,x).
L(x,y,z) * (u * T(u \ (L(x,y,z) \ (x * u)),w)) = (L(x,y,z) * u) * T(a(z,y,T(x,u)),w).
(L(x,y,z) * u) * T(a(z,y,T(x,u)),w) = L(x,y,z) * (u * T(u \ (L(x,y,z) \ (x * u)),w)).
(T(x,T(x,y) * z) * u) \ (T(x,z) * u) = a(T(x,y),z,T(T(x,z),u)).
a(x,y,z) \ (L(u,w,v5) \ (u * a(x,y,z))) = a(v5,w,T(u,a(x,y,z))).
a(x,y,T(z,a(u,w,v5))) = a(u,w,v5) \ (L(z,y,x) \ (z * a(u,w,v5))).
(T(x,x * y) * z) \ (T(x,y) * z) = a(x,y,T(T(x,y),z)).
(L(L(x,y,z),u,w) * v5) \ (L(x,u,w) * v5) = a(z,y,T(L(x,u,w),v5)).
(L(x,y,z) * u) \ (x * u) = a(z,y,T(x,u)).
L(a(x,y,T(z,u)),L(T(z,u),y,x),u) = (L(z,y,x) * u) \ (z * u).
(((x \ 1) \ 1) / x) * a(y,x,x \ 1) = a(y * x,x \ 1,(x \ 1) \ 1).
a(x * y,y \ 1,(y \ 1) \ 1) = (((y \ 1) \ 1) / y) * a(x,y,y \ 1).
(x * (1 / L(y,z,u))) * L(y,z,u) = R(x,1 / L(y,z,u),y).
R(x,1 / L(y,z,u),y) = (x * (1 / L(y,z,u))) * L(y,z,u).
((x * (1 / L(y,z,u))) * y) / a(u,z,y) = R(x,1 / L(y,z,u),y).
(x * ((y \ x) * (x \ y))) / x = (y \ x) * (x \ y).
((x \ y) * (y \ x)) * y = y * ((x \ y) * (y \ x)).
T(x,(y \ x) * (x \ y)) = x.
T(x,((y \ x) * (x \ y)) * 1) = x.
T(x,a(y,y \ x,(y \ x) \ 1) \ 1) = x.
(x * (1 / y)) / (x / y) = a(x,1 / y,y).
a(x,1 / y,y) = (x * (1 / y)) / (x / y).
T(x * (x \ y),a(x,x \ y,(x \ y) \ 1) \ 1) = y.
T(x * y,a(x,y,y \ 1) \ 1) = x * y.
a(x,1 / y,(1 / y) \ 1) = (x * (1 / y)) / (x / y).
(x * (1 / y)) / (x / y) = a(x,1 / y,(1 / y) \ 1).
a(x,y,y \ 1) * (x / (y \ 1)) = x * y.
(x * ((y \ 1) * L((y \ 1) \ (x \ x),z,u))) / (y \ 1) = x * L(a(x,y,y \ 1) \ y,z,u).
x * L(a(x,y,y \ 1) \ y,z,u) = x / (L(y,z,u) \ 1).
x / (y \ (y / (x \ 1))) = a(y,x,x \ 1).
(x * y) / (x / (y \ 1)) = a(x,y,y \ 1).
a(x,y,y \ 1) \ y = x \ (x / (y \ 1)).
x \ (x / (y \ 1)) = a(x,y,y \ 1) \ y.
x * (a(x,y,y \ 1) \ y) = x / (y \ 1).
(x * y) / a(z,u,y \ 1) = x * (a(z,u,y \ 1) \ y).
x * (a(y,z,u \ 1) \ u) = (x * u) / a(y,z,u \ 1).
(x * y) * (y * L(y \ 1,z,u)) = x * (a(u,z,y \ 1) \ y).
(x * y) * (y * L(y \ 1,z,u)) = (x / a(u,z,y \ 1)) * y.
(x / a(y,z,u \ 1)) * u = (x * u) * (u * L(u \ 1,z,y)).
(x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)).
x * (R(x,x \ 1,y) \ z) = a(x,x \ 1,y) \ z.
a(x,x \ 1,y) \ z = x * (R(x,x \ 1,y) \ z).
R(x,x \ 1,y) \ (x * z) = a(x,x \ 1,y) \ z.
x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y).
(((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x).
T(x * ((y \ 1) \ 1),z) / T(y,y \ 1) = y \ T(y * x,z).
x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1).
R(x,y,z) / (u \ 1) = u * R(u \ (x / (u \ 1)),y,z).
R((x / (y \ 1)) / y,z,u) * y = R(x,z,u) / (y \ 1).
R((x / (y \ 1)) / y,z,u) * y = R(x / 1,z,u) / (y \ 1).
R(x / 1,y,z) / (u \ 1) = R((x / (u \ 1)) / u,y,z) * u.
((x * ((y * z) \ y)) * (1 / (z \ 1))) / (L(((z \ 1) \ 1) \ 1,z,y) / (z \ 1)) = R(x,(y * z) \ y,1 / (z \ 1)).
T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y).
T(x * T(x \ 1,y),z) = T(x,z) * T(T(x,z) \ 1,y).
x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * T(y \ 1,z)) * x.
x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z).
(x * y) * T((x * y) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)).
(x * (a(y,z,u) \ a(w,v5,v6))) * v7 = x * (a(y,z,u) \ (a(w,v5,v6) * v7)).
a(1 / x,x,(x \ 1) * y) = (x \ 1) * R(x,x \ 1,y).
(x \ 1) * R(x,x \ 1,y) = a(1 / x,x,(x \ 1) * y).
(x * y) \ (K(x,x \ 1) * y) = (x * ((x * y) \ y)) / x.
(x * ((x * y) \ y)) / x = (x * y) \ (K(x,x \ 1) * y).
T(R(K(x,x \ 1) / x,x,y),x * y) = (x * ((x * y) \ y)) / x.
L(x,y \ (1 / (z / (y * z))),u) = x.
1 / (x * (y / (x * y))) = x \ (1 / (y / (x * y))).
(x * (y / (x * y))) \ 1 = x \ (1 / (y / (x * y))).
x \ (1 / (y / (x * y))) = (x * (y / (x * y))) \ 1.
(x \ y) / (a(x,x \ 1,y) * y) = R(1 / x,x,(x \ y) / y).
R(1 / x,x,(x \ y) / y) = (x \ y) / (a(x,x \ 1,y) * y).
a(x \ 1,x,x \ y) \ a(x,x \ 1,y) = K(x,(x \ y) / y).
(1 / (1 / x)) * R((1 / (1 / x)) \ 1,x,x \ y) = (a(x,x \ 1,y) / x) * (1 / (1 / x)).
(a(x,x \ 1,y) / x) * (1 / (1 / x)) = (1 / (1 / x)) * R((1 / (1 / x)) \ 1,x,x \ y).
R(K(x,x \ 1) / x,x,y) = a(x,x \ 1,x * y) / x.
x \ (1 / ((x \ (x * y)) / (x * y))) = (x * (y / (x * y))) \ 1.
x \ (1 / ((x \ y) / y)) = a(x,x \ 1,y) \ 1.
a(x,x \ 1,y) \ x = 1 / ((x \ y) / y).
(((x \ y) * x) * (K(x,x \ y) / y)) \ K(x,x \ y) = ((y / K(x,x \ y)) \ 1) * y.
((x / y) * (y / x)) \ y = ((x / y) \ 1) * x.
x / (((y / x) \ 1) * y) = (y / x) * (x / y).
(x / y) * (y / x) = y / (((x / y) \ 1) * x).
R(1 / (1 / (1 / x)),x,x \ y) = a(x,x \ 1,y) / x.
a(x,x \ 1,y) \ (y / (x \ y)) = 1 / ((x \ y) / y).
((x \ y) / y) / a(x,x \ 1,y) = R(1 / x,x,(x \ y) / y).
R(1 / x,x,(x \ y) / y) = ((x \ y) / y) / a(x,x \ 1,y).
x * (K(y,x / y) / (y * (x / y))) = a(x,x \ 1,y * (x / y)).
a((x \ y) * x,((x \ y) * x) \ 1,y) = ((x \ y) * x) * (K(x,x \ y) / y).
((x \ y) * x) * (K(x,x \ y) / y) = a((x \ y) * x,((x \ y) * x) \ 1,y).
a(x / y,(x / y) \ 1,x) = (x / y) * (y / x).
(x / y) * (y / x) = a(x / y,(x / y) \ 1,x).
x * (T(y,x) / (y * x)) = a(x,x \ 1,y * x).
a(x * y,(x * y) \ 1,y * x) = (x * y) * (K(y,x) / (y * x)).
(x * y) * (K(y,x) / (y * x)) = a(x * y,(x * y) \ 1,y * x).
(((x \ y) / y) * x) \ a(x,x \ 1,y) = K(x,(x \ y) / y).
K(x,(x \ y) / y) = (((x \ y) / y) * x) \ a(x,x \ 1,y).
x * ((x \ y) / y) = a(x,x \ 1,y).
(1 / x) * (y / ((1 / x) * y)) = y / (x * ((1 / x) * y)).
x / (y * ((1 / y) * x)) = (1 / y) * (x / ((1 / y) * x)).
a(x,x \ 1,y) * (x \ 1) = R(1 / x,x,x \ y).
x / ((y \ 1) * (y * x)) = y * (x / (y * x)).
R(1 / x,x,x \ y) = x \ a(x,x \ 1,y).
x \ a(x,x \ 1,y) = R(1 / x,x,x \ y).
(x * (y / (x * y))) \ y = (x \ 1) * (x * y).
K(x \ 1,x) * a(x,x \ 1,x * y) = (1 / (1 / x)) * (y / (x * y)).
T(a(x,x \ 1,x * y) / x,x * y) = (x * ((x * y) \ y)) / x.
x * ((x \ y) / (x * (x \ y))) = a(x,x \ 1,y).
a(x,x \ 1,y) = x * ((x \ y) / (x * (x \ y))).
R((x * (1 / x)) / x,x,y) = a(x,x \ 1,x * y) / x.
a(x,x \ 1,x * y) = x * (y / (x * y)).
a(x \ 1,(x \ 1) \ 1,(x \ 1) * y) = (x \ 1) * R(x,x \ 1,y).
x \ a(x,x \ 1,x * y) = R(1 / x,x,y).
a(x,x \ 1,x * y) = x * R(1 / x,x,y).
x * R(1 / x,x,y) = a(x,x \ 1,x * y).
x * (a(1 / x,x,y) * (1 / x)) = a(x,x \ 1,x * y).
(1 / x) * R(x,1 / x,x * y) = x * (a(1 / x,x,y) * (1 / x)).
(x * a(1 / x,x,y)) * (1 / x) = (1 / x) * R(x,1 / x,x * y).
(1 / x) * R(x,1 / x,x * y) = (x * a(1 / x,x,y)) * (1 / x).
T(x * a(1 / x,x,y),1 / x) = R(x,1 / x,x * y).
T((x * y) / L(y,x,1 / x),1 / x) = R(x,1 / x,x * y).
L(x \ y,x,a(z,u,w) \ 1) = (a(z,u,w) \ x) \ (a(z,u,w) \ y).
x * (a(y,z,u) * ((a(y,z,u) * x) \ x)) = T(x,a(y,z,u)).
x * (a(y,z,u) * ((a(y,z,u) * x) \ x)) = T(x,a(y,z,u) * x).
(x * (y * T(z,u))) / (x * y) = T((x * (y * z)) / (x * y),u).
L(x \ R(x,y,x),z * x,u) = (u * (z * x)) \ (u * (z * R(x,y,x))).
L(x \ R(x,y,x),x,z) = x \ R(x,y,x).
L(x \ R(x,y,x),x,z) = a((y * x) / y,y,R(x,y,x)).
R(x,(1 / y) * z,((y \ z) / z) * y) = x.
R(x,L(y \ z,y,y \ 1),((y \ z) / z) * y) = x.
R(x,L(y,z,u),a(u,z,y)) = x.
R(x,y / a(z,u,y),a(z,u,y)) = x.
R(x,y / a(z,u,y),a(z,u,y)) = (x * L(y,u,z)) / L(y,u,z).
(x * L(y,z,u)) / L(y,z,u) = R(x,y / a(u,z,y),a(u,z,y)).
(L(a(x,y,z),u,w) \ 1) \ v5 = L(a(x,y,z),u,w) * v5.
(1 / L(a(x,y,z),u,w)) \ v5 = L(a(x,y,z),u,w) * v5.
L(x,L(y,z,u),a(u,z,y)) = x.
a(a(x,y,z),L(z,y,x),u) = 1.
a(a(x,y,z),L(z,y,x),u) = (z * u) \ (z * u).
(x * y) \ (x * y) = a(a(z,u,x),L(x,u,z),y).
(x * (1 / y)) * (1 / (1 / y)) = (x * (y \ 1)) * y.
(x \ 1) * R((x \ 1) \ y,x \ 1,x) = ((y * x) * K(x,x \ 1)) * (x \ 1).
((x * y) * K(y,y \ 1)) * (y \ 1) = (y \ 1) * R((y \ 1) \ x,y \ 1,y).
R(x / (y \ 1),y \ 1,y) = (x * y) * K(y,y \ 1).
(x * y) * K(y,y \ 1) = R(x / (y \ 1),y \ 1,y).
x / (R(y,z \ 1,z) \ y) = x * a(y,z \ 1,(z \ 1) \ 1).
(x * (1 / y)) * (K(y \ 1,y) * z) = (x * (y \ 1)) * z.
(x * (y \ 1)) * z = (x * (1 / y)) * (K(y \ 1,y) * z).
R(x / (y * (1 / z)),y * (1 / z),K(z \ 1,z)) = (x * K(z \ 1,z)) / (y * (z \ 1)).
(x * (1 / y)) * K(y \ 1,y) = x * (y \ 1).
x * (y \ 1) = (x * (1 / y)) * K(y \ 1,y).
(x / (1 / y)) * (y \ 1) = x * K(y \ 1,y).
(x / (1 / y)) * (y \ 1) = x / K(y,y \ 1).
(x / (1 / y)) * (y \ 1) = x / (y * (1 / y)).
x / (y * (1 / y)) = (x / (1 / y)) * (y \ 1).
(x / y) * ((x \ (x / y)) \ 1) = R(x,y \ 1,y).
x * a(x,y \ 1,y) = R(x,y \ 1,y).
x \ R(x,y \ 1,y) = a(x,y \ 1,y).
((x * (y \ 1)) * y) * K(y,y \ 1) = R(x,y \ 1,y).
(x \ 1) * ((y * (x \ 1)) \ y) = R(y,x \ 1,x) \ y.
R(x,y \ 1,y) \ x = (y \ 1) * ((x * (y \ 1)) \ x).
a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y).
x \ R(x,y \ 1,y) = a(x,y \ 1,(y \ 1) \ 1).
R((x / (1 / y)) / y,y,y \ 1) = x / (y * (1 / y)).
R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y).
R(x,y \ 1,y) = R(x,y \ 1,(y \ 1) \ 1).
R(x,y,1 / y) = R(x,y,y \ 1).
(x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y).
R(x,y,y \ 1) * K(y,y \ 1) = (x * y) * (1 / y).
(x * y) * (y \ 1) = R(x,y,1 / y).
x * K(y,y \ 1) != (z * y) * (1 / y) | x = R(z,y,1 / y).
(x * (y \ 1)) * K(y,y \ 1) = x * (1 / y).
x * (1 / y) = (x * (y \ 1)) * K(y,y \ 1).
x * L(y \ 1,y,(y \ z) / z) = (x * (y \ 1)) * K(y,y \ 1).
T(L(x * ((x / y) \ 1),z,u),L(y,z,u)) = ((x / y) * L(y,z,u)) * ((x / y) \ 1).
R(x,y \ (y / x),(y \ (y / x)) \ 1) = (x \ 1) \ 1.
x * a(y * x,x \ 1,x) = L(x \ 1,x,y) \ 1.
L(x \ 1,x,y) \ 1 = x * a(y * x,x \ 1,x).
a(x,(y \ x) \ 1,y \ x) \ z = ((x \ y) * (y \ x)) * z.
((x \ y) * (y \ x)) * z = a(x,(y \ x) \ 1,y \ x) \ z.
a(x,y \ 1,y) * (x \ (x / y)) = L(y \ 1,y,x \ (x / y)).
L(x \ 1,x,y \ (y / x)) = a(y,x \ 1,x) * (y \ (y / x)).
(x \ (x / y)) \ (L(z,y,x \ (x / y)) / a(x,y \ 1,y)) = y * T(z,(x \ (x / y)) * y).
((x \ (x / y)) * y) * z = a(x,y \ 1,y) \ z.
((x \ (x / y)) * y) \ z = a(x,y \ 1,y) * z.
x * ((y \ (y / z)) * z) = x / a(y,z \ 1,z).
x / ((y \ (y / z)) * z) = x * a(y,z \ 1,z).
(x * (y \ (y / x))) * K(y \ (y / x),x) = a(y,x \ 1,x) \ 1.
a(x,y \ 1,y) \ 1 = (x \ (x / y)) * y.
((x \ (x / y)) * y) * a(x,y \ 1,y) = 1.
x / L(a(y,z \ 1,z),z,x / (z * a(y,z \ 1,z))) = (x / ((y \ (y / z)) \ 1)) * z.
L(x \ 1,x,y / x) \ 1 = x * a(y,x \ 1,x).
(x \ (x / y)) * (y * a(x,y \ 1,y)) = 1.
x \ ((y \ (y / x)) \ 1) = a(y,x \ 1,x).
(x / y) * ((z \ (z / y)) \ 1) = x * a(z,y \ 1,y).
(x \ (x / y)) \ 1 = y * a(x,y \ 1,y).
(x \ (x / y)) \ 1 = a(x,y \ 1,y) * y.
(x \ (x / y)) \ 1 = a((x / y) * y,y \ 1,y) * y.
(x \ (x / y)) \ 1 = (L(y \ 1,y,x / y) * y) \ y.
(L(x \ 1,x,y / x) * x) \ x = (y \ (y / x)) \ 1.
R(x,y \ (y / x),(y \ (y / x)) \ 1) = T(x,y \ (y / x)).
T(x,y \ (y / x)) = R(x,y \ (y / x),(y \ (y / x)) \ 1).
((x \ (x / y)) * y) \ y = (x \ (x / y)) \ 1.
((x \ (x / y)) * y) * ((x \ (x / y)) \ 1) = y.
x / ((y \ (y / x)) \ 1) = (y \ (y / x)) * x.
(x \ (x / y)) * y = y / ((x \ (x / y)) \ 1).
x / (((y * x) \ y) \ 1) = ((y * x) \ y) * x.
((x * y) \ x) * y = y / (((x * y) \ x) \ 1).
(x \ (x / y)) * ((x / y) \ x) = y / ((x \ (x / y)) \ 1).
x / ((y \ (y / x)) \ 1) = (y \ (y / x)) * ((y / x) \ y).
((x * y) \ x) * (x \ (x * y)) = y / (((x * y) \ x) \ 1).
x / (((y * x) \ y) \ 1) = ((y * x) \ y) * (y \ (y * x)).
(x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y).
(x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ (y * 1)).
(x \ y) * (y \ (x * 1)) = (y \ x) / ((x \ y) \ 1).
(x \ y) * L((x \ y) \ 1,x \ y,x) = (y \ x) / ((x \ y) \ 1).
((x / y) * ((1 / (x / y)) * z)) / (x / y) = L(z / (x / y),x / y,y / x).
((x / y) * (y / x)) \ ((x / y) * z) = (1 / (y / x)) * z.
R(x / y,y,T(y \ 1,x)) = x * (y \ 1).
(a(x,y,z) \ R(x,u,w)) / (a(x,y,z) \ 1) = R(x,u,w).
R(x,y,z) * (a(x,u,w) \ 1) = a(x,u,w) \ R(x,y,z).
L(x,y,z * ((y * z) \ y)) = x.
(a(x,y,z) \ 1) * u != ((a(x,y,z) \ 1) * x) * w | x * w = u.
((a(x,y,z) \ 1) * x) * u != (a(x,y,z) \ 1) * w | x * u = w.
L(x,y,a(y,z,u) \ 1) = x.
((a(x,y,z) \ 1) * x) * u = (a(x,y,z) \ 1) * (x * u).
(a(x,y,z) \ 1) * (x * u) = ((a(x,y,z) \ 1) * x) * u.
R(a(x,y,z) \ 1,x,u) = a(x,y,z) \ 1.
L(T(a(x,y,z),u),u,x) = T(a(x,y,z),x * u).
T(a(x,y,z),x * u) = L(T(a(x,y,z),u),u,x).
a((x / y) \ 1,x / y,y) \ ((y / x) * z) = (1 / (x / y)) * z.
a(x \ 1,x,y) \ ((y / (x * y)) * z) = (1 / x) * z.
a(1 / x,x,y) \ ((y / (x * y)) * z) = (1 / x) * z.
R(T(x,L(y,z,R(x,u,w))),u,w) = R(T(x,y),u,w).
R(T(x,y),z,u) = R(T(x,L(y,w,R(x,z,u))),z,u).
T(x,(x \ T(x,y)) \ z) = T(x,x * (T(x,y) \ z)).
T(x,(x \ 1) \ y) = T(x,x * y).
T(x,(x \ y) \ z) = T(x,y \ (x * z)).
T(x,y \ (x * z)) = T(x,(x \ y) \ z).
T(1 / x,(1 / x) * y) = T(1 / x,x \ y).
T(x,(x * y) \ x) = T(x,y \ 1).
R(T(x,L(y,z,R(x,u,w))),u,w) = T(R(x,u,w),y).
T(T(x,y),L(z,u,x)) = T(T(x,z),y).
T(T(x,y),z) = T(T(x,z),L(y,u,x)).
T(x,L(y,z,x)) = T(x,y).
T(x,y) = T(x,L(y,z,x)).
x * T(y,L(x,z,y)) = y * x.
x * y = y * T(x,L(y,z,x)).
((x / (y * x)) * z) / ((1 / y) * z) = a(1 / y,y,x).
a(1 / x,x,y) = ((y / (x * y)) * z) / ((1 / x) * z).
R(a(x,y,z),x,u) = a(x,y,z).
R(a(x,y,z),x,x \ u) = a(x,y,z).
(x * (a(x,y,z) \ u)) / (x * u) = R(a(x,y,z) \ 1,x,u).
(x * (a(x,y,z) \ u)) / (x * u) = a(x,y,z) \ 1.
a(x,y,x / z) = a(x,y,z \ x).
a(x,y,z \ x) = a(x,y,x / z).
a(x,y,(z \ x) \ x) = a(x,y,z).
(a(x,y,z) \ x) * u = x * (a(x,y,z) \ u).
(a(x,y,z) \ x) \ x = a(x,y,z).
x / a(x,y,z) = a(x,y,z) \ x.
a(x,y,z) \ x = x / a(x,y,z).
R(x,y,z) * (a(x,u,w) \ 1) = (a(x,u,w) \ 1) * R(x,y,z).
(a(x,y,z) \ 1) * R(x,u,w) = R(x,u,w) * (a(x,y,z) \ 1).
T(x,a(x,y,z) \ 1) = x.
T(a(x,y,z) \ 1,x) = a(x,y,z) \ 1.
x \ (a(x,y,z) \ x) = a(x,y,z) \ 1.
a(x,y,z) \ 1 = x \ (a(x,y,z) \ x).
a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u).
a(x,y,z) = (x * z) / (x * L(z,y,x)).
(x * y) / (x * L(y,z,x)) = a(x,z,y).
(x * y) / (x * (a(x,z,u) \ y)) = a(x,z,u).
a(x,y,z) \ (x \ u) = x \ (a(x,y,z) \ u).
x * (a(x,y,z) * L(z,y,x)) = z * T(x,L(z,y,x)).
(x * y) \ (x * (a(x,z,u) * y)) = T(a(x,z,u),x * y).
T(a(x,y,z),x * u) = (x * u) \ (x * (a(x,y,z) * u)).
a(x,y,z) \ (x * (a(x,y,z) * u)) = x * u.
(x * (a(x,y,z) * u)) / (x * u) = a(x,y,z).
a(x,y,z) * (x \ K(a(x,y,z),u)) = x \ T(a(x,y,z),u).
x \ T(a(x,y,z),u) = a(x,y,z) * (x \ K(a(x,y,z),u)).
a(x,y,z) * (x \ (a(x,y,z) \ u)) = x \ u.
x \ y = a(x,z,u) * (x \ (a(x,z,u) \ y)).
L(K(a(x,y,z),x \ u),(x \ u) * a(x,y,z),x) = (x * ((x \ u) * a(x,y,z))) \ (a(x,y,z) * u).
(x * ((x \ y) * a(x,z,u))) \ (a(x,z,u) * y) = L(K(a(x,z,u),x \ y),(x \ y) * a(x,z,u),x).
a(x,y,z) * (x * u) = x * (a(x,y,z) * u).
x * (a(x,y,z) * u) = a(x,y,z) * (x * u).
a(x,y,z) * (x \ (a(x,y,z) \ (x * u))) = u.
x \ (a(x,y,z) * u) = a(x,y,z) * (x \ u).
(x * a(y,z,x)) / (y \ x) = y * a(y,z,x).
R(a(x,y,z),x,x \ u) = (a(x,y,z) * u) / u.
(a(x,y,z) * u) / u = R(a(x,y,z),x,x \ u).
x * (a(x,y,z) * (x \ u)) = a(x,y,z) * u.
a(x,y,z) * u = x * (a(x,y,z) * (x \ u)).
(a(x,y,z) * u) / (x \ u) = x * a(x,y,z).
(x * a(x,y,z)) * (x \ u) = a(x,y,z) * u.
R(x,y,T(z,x * y)) * (x \ u) = a(x,y,z) * u.
R(x,y,T(z,x * y)) * (x \ u) = x \ (x * (a(x,y,z) * u)).
(x \ 1) / (x \ a(x,y,z)) = a(x,y,z) \ 1.
a(x,y,z) * (x \ 1) = x \ a(x,y,z).
a(x,y,z) \ (x \ a(x,y,z)) = x \ 1.
x \ 1 = a(x,y,z) \ (x \ a(x,y,z)).
(x * a(x,y,z)) \ a(x,y,z) = x \ 1.
a(x,y,z) / (x \ 1) = x * a(x,y,z).
R(x,y,T(z,x * y)) = a(x,y,z) / (x \ 1).
T(x,x \ (x / y)) = T(x,y \ 1).
T(x,L(y \ 1,y,x / y)) = T(x,y \ 1).
(x / y) * ((x / y) \ (x * (y \ 1))) = R(x / y,y,T(y \ 1,x)).
(x * y) / R(y,z,T(u,y * z)) = x / a(y,z,u).
(x * y) / T(R(x,y,y \ 1),(y \ 1) \ 1) = ((x * y) * (y \ 1)) \ (x * y).
x / T(x * y,y \ 1) = (x * y) \ x.
T(x,L(y \ 1,y,x / y)) = T((x / y) * y,y \ 1).
T((x / y) * y,y \ 1) = T(x,L(y \ 1,y,x / y)).
T(x * y,y \ 1) = ((x * y) \ x) \ x.
((x * y) \ x) \ x = T(x * y,y \ 1).
L(x,1 / x,y) \ y = T(y * (1 / x),x).
T(x * (1 / y),y) = L(y,1 / y,x) \ x.
L(x \ 1,x,y) \ y = T(y * x,x \ 1).
T(x * y,y \ 1) = L(y \ 1,y,x) \ x.
T(x / L(y,z,x),y) = L(y,z,x) \ x.
L(x,y,z) \ z = T(z / L(x,y,z),x).
a(x,y,z) = R(x,y,T(z,x * y)) / x.
R(x,y,T(z,x * y)) / x = a(x,y,z).
x \ (y * a(y,z,x)) = L(x,z,y) \ y.
(x * (y * a(y,z,u))) / y = x * a(y,z,u).
((x * a(x,y,z)) * (x \ u)) / u = R(a(x,y,z),x,x \ u).
(x * y) / (y * a(y,z,u)) = x / a(y,z,u).
T(x,y) * a(x,z,u) = a(x,z,u) * T(x,y).
a(x,y,z) * T(x,u) = T(x,u) * a(x,y,z).
(x * a(x,y,z)) / x = a(x,y,z).
a(x,y,z) * x = x * a(x,y,z).
K(x,a(x,y,z)) = 1.
T(x,a(x,y,z)) = x.
x = T(x,a(x,y,z)).
R(x,y,T(z,x * y)) = (x \ (x * a(x,y,z))) / (x \ 1).
(x \ (x * a(x,y,z))) / (x \ 1) = R(x,y,T(z,x * y)).
R(x,y,T(z,x * y)) * (x \ u) = x \ ((x * a(x,y,z)) * u).
x \ ((x * a(x,y,z)) * u) = R(x,y,T(z,x * y)) * (x \ u).
T(x,x * a(x,y,z)) = x.
(x / y) * a(x / y,y,z) = R(x / y,y,T(z,x)).
R(x / y,y,T(z,x)) = (x / y) * a(x / y,y,z).
R(x,y,T(z,x * y)) = x * a(x,y,z).
(x * (y * (x * z))) / (L(y,z,x) * (x * z)) = R(x,z,T(y,x * z)).
(x * ((y \ x) \ 1)) / y != (x * ((y \ x) \ 1)) * z | y \ 1 = z.
(x * ((y \ x) \ 1)) * (y \ 1) = (x * ((y \ x) \ 1)) / y.
(x * ((y \ x) \ 1)) / y = (x * ((y \ x) \ 1)) * (y \ 1).
(x * ((y \ x) \ 1)) * (y \ z) = ((y \ x) * (x \ y)) \ z.
(x \ (y * ((x \ y) \ 1))) * z = (y * ((x \ y) \ 1)) * (x \ z).
(x * ((y \ x) \ 1)) * (y \ z) = (y \ (x * ((y \ x) \ 1))) * z.
x \ ((y * ((x \ y) \ 1)) * z) = (y * ((x \ y) \ 1)) * (x \ z).
(x * ((y \ x) \ 1)) * (y \ z) = y \ ((x * ((y \ x) \ 1)) * z).
(x / y) \ ((x * (y \ 1)) * z) = (x * (y \ 1)) * ((x / y) \ z).
(x * (y \ 1)) * ((x / y) \ z) = (x / y) \ ((x * (y \ 1)) * z).
(x * y) / R(T(x,x * (R(x,z,u) \ y)),z,u) = x * (R(x,z,u) \ y).
((x / y) \ (x * (y \ 1))) \ z = (x / y) * ((x * (y \ 1)) \ z).
(x / y) * ((x * (y \ 1)) \ 1) = (x * (y \ 1)) \ (x / y).
(x * (y \ 1)) \ (x / y) = (x / y) * ((x * (y \ 1)) \ 1).
(x * (y \ 1)) \ ((x / y) * z) = (x / y) * ((x * (y \ 1)) \ z).
(x / y) * ((x * (y \ 1)) \ z) = (x * (y \ 1)) \ ((x / y) * z).
R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (z * T(z \ y,x)) / y.
R(T((x * y) / x,T(x,y)),x,y) = T(x,y) \ T(x * y,y).
R(T((x * y) / x,T(x,y)),x,y) = (y \ (x * y)) \ T(x * y,y).
T(R((x * y) / x,x,y),T(x,y)) = (y \ (x * y)) \ T(x * y,y).
x * (a(y,z,u) * ((a(y,z,u) * x) \ x)) = T(x,T(x * a(y,z,u),x)).
T(x,T(x * a(y,z,u),x)) = x * (a(y,z,u) * ((a(y,z,u) * x) \ x)).
R(T((x \ 1) \ 1,y),z,u) * K(x \ 1,x) = (R(T(x,y),z,u) * (x \ 1)) * x.
(x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y.
(x / ((y * z) / y)) * z = (x * z) / ((y * z) / y).
((x / y) / ((z * y) / z)) * y = x / ((z * y) / z).
(L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z).
x * L(T(y,x * y),z,u) = (L(y,z,u) * (x * y)) / y.
(x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y.
(L(x,y,z) * u) / x = (u / x) * L(T(x,u),y,z).
(x * L(T(y,x),z,u)) / y = (x / y) * L(T(y,x),z,u).
(x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y.
((x / y) / ((z * y) / z)) * (z \ (z * y)) = x / ((z * y) / z).
((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y).
R(x,T(y,z),y) = R(x,y,T(y,z)).
R(x,y,T(y,z)) = R(x,T(y,z),y).
(a(x,y,z) \ 1) * (((z * a(x,y,z)) \ 1) \ 1) = z * K(z * a(x,y,z),(z * a(x,y,z)) \ 1).
(x * y) * K(T(y * x,K(x,y)),T(y * x,K(x,y)) \ 1) = K(x,y) * ((T(y * x,K(x,y)) \ 1) \ 1).
K(x,y) * ((T(y * x,K(x,y)) \ 1) \ 1) = (x * y) * K(T(y * x,K(x,y)),T(y * x,K(x,y)) \ 1).
(x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1).
x * ((y \ 1) \ 1) = (x * y) * K(y,y \ 1).
((x \ y) * y) / (x \ y) = x * T(x \ y,y).
x * T(x \ y,y) = ((x \ y) * y) / (x \ y).
(x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1).
(x * y) / T(y,z) = (x / T(y,z)) * y.
(x / T(y,z)) * y = (x * y) / T(y,z).
(x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u).
(x / y) * L(T(y,x),z,u) = (x * L(x \ (y * x),z,u)) / y.
((L(x,y,z) * T(u,x)) / x) \ ((L(x,y,z) * (u * x)) / x) = T(x,L(x,y,z) * T(u,x)).
T(x,L(x,y,z) * T(u,x)) = ((L(x,y,z) * T(u,x)) / x) \ ((L(x,y,z) * (u * x)) / x).
x \ (((x \ y) * y) / (x \ y)) = T(x \ y,y).
T(x \ y,y) = x \ (((x \ y) * y) / (x \ y)).
T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)).
T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y).
T(x,y) = (y / x) \ ((x * y) / x).
(x / y) \ ((y * x) / y) = T(y,x).
(1 / T(x,y)) * x = x / T(x,y).
((x * y) / x) / T(x,y) = y / x.
x / y = ((y * x) / y) / T(y,x).
(x / T(x,y)) / x = 1 / T(x,y).
((x / y) / T(y,z)) * y = x / T(y,z).
((x / (y \ z)) / (z / y)) * T(z / y,y) = x / (z / y).
(x / T(y,z)) / y = (x / y) / T(y,z).
(x / y) / T(y,z) = (x / T(y,z)) / y.
(x / y) * T(y,y \ 1) = x * K(y,y \ 1).
(x / (y * T(z,y * z))) * T(y * T(z,y * z),z) = (x * (y * z)) / (y * T(z,y * z)).
(x * (y * z)) / (y * T(z,y * z)) = (x / (y * T(z,y * z))) * T(y * T(z,y * z),z).
(x * (a(y,z,u) * T(w,v5))) / w = ((x * a(y,z,u)) / w) * T(w,v5).
T((x / y) * T(y,z),y) = y \ (x * T(y,z)).
((x / T(y,z)) / y) * T(y,z) = x / y.
x / y = ((x / T(y,z)) / y) * T(y,z).
(x * T(y,z)) / y = (x / y) * T(y,z).
((x * y) * T(y,z)) / (y * T(y,z)) = R(x,T(y,z),y).
((x * y) * T(y,z)) / y = x * T(y,z).
(x * T(y,z)) * y = (x * y) * T(y,z).
(x * T(x \ (x * y),z)) * y = (x * y) * T(y,z).
(T((x * y) / x,z) * x) * y = (x * y) * T(y,z).
(x * y) * T(y,z) = (T((x * y) / x,z) * x) * y.
(x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y.
R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z).
L(a((x \ 1) \ 1,y,y \ 1),x,x \ 1) = 1 \ ((x \ 1) * R((x \ 1) \ 1,y,y \ 1)).
1 \ ((x \ 1) * R((x \ 1) \ 1,y,y \ 1)) = L(a((x \ 1) \ 1,y,y \ 1),x,x \ 1).
L(a((x \ y) \ y,z,z \ 1),T(x,x \ y),x \ y) = y \ ((x \ y) * R((x \ y) \ y,z,z \ 1)).
(L(x,y,z) * (u * a(z,y,x))) \ (u * x) = K(u * a(z,y,x),L(x,y,z)).
((x * y) * L(T(z,u),y,x)) / (x * y) = T((x * (y * z)) / (x * y),u).
R(R(x,y,z) \ L(R(x,y,z),u,w),R(x,y,z),y * z) = (L(R(x,y,z),u,w) * (y * z)) / ((x * y) * z).
(x * (y * z)) \ ((x * y) * L(R(z,u,u \ 1),y,x)) = L(a(L(z,y,x),u,u \ 1),L(z,y,x),x * y).
L(a(L(x,y,z),u,u \ 1),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * L(R(x,u,u \ 1),y,z)).
L(K(x \ (x / (L(y,z,u) \ 1)),x),L(y,z,u),u * z) = (u * (z * y)) \ ((u * z) * T(L(y,z,u),x)).
(x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = L(K(u \ (u / (L(z,y,x) \ 1)),u),L(z,y,x),x * y).
(x * (K(y \ 1,y) * z)) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)).
x / (((y \ z) / z) * (z / (y \ z))) = x * ((y \ z) \ ((1 / y) * z)).
x * ((y \ z) \ ((1 / y) * z)) = x / (((y \ z) / z) * (z / (y \ z))).
1 / ((x / y) * (y / x)) = x \ ((1 / (y / x)) * y).
x \ ((1 / (y / x)) * y) = 1 / ((x / y) * (y / x)).
x * (y \ ((1 / (z / y)) * z)) = x / ((y / z) * (z / y)).
x / ((y / z) * (z / y)) = x * (y \ ((1 / (z / y)) * z)).
x / (((1 / (y / z)) * y) \ z) = x * (z \ ((1 / (y / z)) * y)).
R(R(x,y \ z,z \ y),(u \ w) * (w \ u),v5) = (x * (y \ z)) * ((y \ z) \ 1).
(x * (y \ z)) / ((z \ y) * (y \ z)) = x * ((z \ y) \ 1).
x * ((y \ z) \ 1) = (x * (z \ y)) / ((y \ z) * (z \ y)).
L(x \ 1,y,z) \ (a(z,y,x \ 1) \ (u \ (u / x))) = x * (u \ (u / x)).
(x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)).
R(1 / x,x,y \ (y / x)) = x \ 1.
R(x / (y \ z),y \ z,z \ y) = x * ((y \ z) \ 1).
R(1 / x,x,(y * x) \ y) = x \ 1.
x \ 1 = R(1 / x,x,(y * x) \ y).
R(x / y,y,(z * y) \ z) = x * (y \ 1).
T(x,y) / T(x,a(z,u,x) * y) = a(a(z,u,x),y,T(x,y)).
a(a(x,y,z),u,T(z,u)) = T(z,u) / T(z,a(x,y,z) * u).
L(T(x,y),y,a(z,u,x)) = T(x,a(z,u,x) * y).
T(x,a(y,z,x) * u) = L(T(x,u),u,a(y,z,x)).
T(x,y) \ ((T(x,y) * z) * x) = a((z * x) / z,z,R(T(x,y),z,x)) * (z * x).
a(x,y,z) * L(L(z,u,w),y,x) = a(w,u,L(z,y,x)) \ z.
a(x,y,z) * L(L(z,y,x),u,w) = a(w,u,L(z,y,x)) \ z.
x / (y \ ((1 / (z / y)) * z)) = x * ((y / z) * (z / y)).
((x / y) * (y / x)) \ 1 = x \ ((1 / (y / x)) * y).
x \ ((1 / (y / x)) * y) = ((x / y) * (y / x)) \ 1.
(x \ ((1 / (y / x)) * y)) * z = ((x / y) * (y / x)) \ z.
((x / y) * (y / x)) \ z = (x \ ((1 / (y / x)) * y)) * z.
(((1 / (x / y)) * x) \ y) \ z = (y \ ((1 / (x / y)) * x)) * z.
x / (((1 / (y / z)) * y) \ (z * 1)) = x * (z \ ((1 / (y / z)) * y)).
L(x,L(y,z,u) \ 1,L(y,z,u)) = L(x,L(y,z,u) \ 1,y).
L(x,L(y,z,u) \ 1,y) = L(x,L(y,z,u) \ 1,L(y,z,u)).
L(x,y,z) * ((L(x,y,z) \ 1) * u) = L(u,L(x,y,z) \ 1,x).
L(x,L(y,z,u) \ 1,y) = L(y,z,u) * ((L(y,z,u) \ 1) * x).
(x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y.
(x * L(x \ y,z,u)) / w = (x / w) * L((x / w) \ (y / w),z,u).
T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u).
x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x).
((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w).
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 \ (x \ (y * x)),z,u).
R(T(x,L(y,y,R(x,y,y))),y,y) = a(R(x,y,y),y,y) * T(x,y).
((x / (x / L(x,y,z))) \ 1) \ (x / L(x,y,z)) = T(x,L(x,y,z) \ 1).
a(x,L(y,z,u),L(y,z,u) \ 1) \ w = a(x,y,y \ 1) \ w.
a(x / L(y,z,u),L(y,z,u),w) = a(x / y,y,w).
(x \ y) / ((y \ x) * (x \ y)) = (y \ x) \ 1.
((x \ y) \ 1) * ((x \ y) * (y \ x)) = y \ x.
((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x).
K((x \ y) * (y \ x),(x \ y) \ 1) = 1.
((x \ y) \ 1) \ (y \ (x * 1)) = (x \ y) * (y \ x).
a(x,y,L(z,u / z,1 / u)) = a(x,y,((1 / u) * (u / z)) \ 1).
a(x,y,z \ 1) / (z \ 1) = z * a(x,y,z \ 1).
((x \ y) \ ((1 / x) * y)) * z = (((x \ y) / y) * x) \ z.
((x * a(y,z,u)) / x) * (x / u) = (x / u) * R(a(y,z,u),x / u,u).
(x / y) * R(a(z,u,y),x / y,y) = ((x * a(z,u,y)) / x) * (x / y).
T((x * a(y,z,u)) / x,x / u) = R(a(y,z,u),x / u,u).
R(T(x,L(y,y,R(x,y,y))),y,y) = L(y,y,R(x,y,y)) \ (x * y).
1 / T(K(x,y),K(y,x)) = K(x,y) \ 1.
1 / T(K(x,y),K(y,x)) = ((y * x) \ (x * y)) \ 1.
x * L(x \ (x / (y \ 1)),z,u) = x / (L(y,z,u) \ 1).
x / (L(y,z,u) \ 1) = x * L(x \ (x / (y \ 1)),z,u).
x / ((1 / y) * ((1 / L(y,z,u)) \ x)) = a(u,z,x / ((1 / y) * x)).
((1 / x) * ((1 / L(x,y,z)) \ u)) \ u = a(z,y,((1 / x) * u) \ u).
x * L(x \ ((1 / y) \ x),z,u) = (1 / L(y,z,u)) \ x.
a(a(x,y,z),u,z) * (L(z,y,x) \ (u * z)) = T(a(x,y,z) * u,L(z,u,a(x,y,z))).
R(x,L(y,z,u),L(y,z,u) \ w) = R(x,y,y \ w).
L(x,y,1 / (y * a(z,u,y))) = L(x,L(y,u,z),1 / y).
L(x,y,(y \ L(y,z,u)) / y) = L(x,L(y,z,u),1 / y).
L(x,L(y,z,u),1 / y) = L(x,y,(y \ L(y,z,u)) / y).
L(x,L(y,z,u),w / L(y,z,u)) = L(x,y,w / y).
((x / a(y,z,x)) \ 1) \ (x / L(x,z,y)) = T(x,L(x,z,y) \ 1).
a(x,y,z) \ T(u * a(x,y,z),z) = T(u,z * a(x,y,z)).
(x * ((y \ x) \ 1)) \ y = (y \ x) * (x \ y).
R(x,x \ y,z \ (u * ((z \ u) \ 1))) \ (y / ((z \ u) * (u \ z))) = (x \ y) * (z \ (u * ((z \ u) \ 1))).
x / ((x \ y) * (y \ x)) = y * ((x \ y) \ 1).
x * (y \ (z * ((y \ z) \ 1))) = x / ((y \ z) * (z \ y)).
(x * ((y \ x) \ 1)) / y = ((y \ x) * (x \ y)) \ 1.
((x \ y) * (y \ x)) \ x = y * ((x \ y) \ 1).
((x \ y) * (y \ x)) \ 1 = x \ (y * ((x \ y) \ 1)).
x \ (y * ((x \ y) \ 1)) = ((x \ y) * (y \ x)) \ 1.
(((x \ y) * (y \ x)) \ z) / z = x \ (y * ((x \ y) \ 1)).
(x \ (y * ((x \ y) \ 1))) * z = ((x \ y) * (y \ x)) \ z.
a(x,y,z) \ T(u,L(z,y,x)) = T(u / a(x,y,z),z).
T(x / a(y,z,u),u) = a(y,z,u) \ T(x,L(u,z,y)).
T(x \ y,y \ x) != z * (x \ y) | K(x \ y,(x \ y) \ 1) = z.
((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)).
1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1.
1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1.
1 / T(K(x,y),(x * y) \ (y * x)) = ((y * x) \ (x * y)) \ 1.
K(x \ y,(x \ y) \ 1) * (x \ y) = T(x \ y,y \ x).
1 / T(x \ y,y \ x) = (x \ y) \ 1.
(x \ (x / y)) * ((y \ 1) \ 1) = y * (x \ (x / y)).
(x * ((y * x) \ y)) \ (((y * x) \ y) * (((x \ 1) \ 1) * z)) = L(z,T(x,(y * x) \ y),(y * x) \ y).
T(x,y \ (y / x)) = (x \ 1) \ 1.
T(x \ y,y \ x) = ((x \ y) \ 1) \ 1.
T(x,(y * x) \ y) = (x \ 1) \ 1.
T(1 / (x \ 1),(y * x) \ y) = (x \ 1) \ 1.
T(1 / x,L(x,y,z)) = x \ 1.
x \ 1 = T(1 / x,L(x,y,z)).
x \ T(y,a(z,u,x) \ 1) = T(y / x,L(x,u,z)).
(x / y) * R(y,z,T(y,z)) = x * (y \ R(y,z,T(y,z))).
x * (y \ R(y,z,T(y,z))) = (x / y) * R(y,z,T(y,z)).
1 / L(a(x,y,z),u,w) = L(a(x,y,z),u,w) \ 1.
L(a(x,y,z),u,w) \ 1 = 1 / L(a(x,y,z),u,w).
R(a(x,y,z) \ 1,z,u) = z \ L(z,y,x).
R(T(x \ L(x,y,z),u),x,w) = T(x \ L(x,y,z),u).
R(x \ L(x,y,z),x,u) = x \ L(x,y,z).
R(x \ L(x,y,z),x,u) = a(z,y,x) \ 1.
R(x \ L(x,y,z),x,x \ u) = a(z,y,x) \ 1.
R(x \ L(x,y,z),x,x \ u) = (a(z,y,x) \ u) / u.
(x * a(y,z,x \ 1)) \ u = x \ (a(y,z,x \ 1) \ u).
x / (a(y,z,u) * (u \ 1)) = x * L(x \ (x / (u \ 1)),z,y).
a(x,y,z \ 1) \ (z \ u) = z \ (a(x,y,z \ 1) \ u).
L(x,y,a(z,u,y)) = x.
((x * a(y,z,x)) / x) * u != (x * a(y,z,x)) * w | x * w = u.
(x * a(y,z,x)) * u != ((x * a(y,z,x)) / x) * w | x * u = w.
L(x,y,(y * a(z,u,y)) / y) = x.
R(x,L(y,z,u),L(y,z,u) \ w) = ((x * y) * (y \ w)) / w.
((x * y) * (y \ z)) / z = R(x,L(y,u,w),L(y,u,w) \ z).
(x * ((y * z) \ y)) * (L(z \ 1,z,y) \ u) = (x * (z \ 1)) * ((z \ 1) \ u).
a(x,L(y,z,u),L(y,z,u) \ 1) \ w = (y * ((x * y) \ x)) * w.
(x * ((y * x) \ y)) * z = a(y,L(x,u,w),L(x,u,w) \ 1) \ z.
x / (a(y,z,u \ 1) * u) = x * L(x \ (x / u),z,y).
x * L(x \ (x / y),z,u) = x / (a(u,z,y \ 1) * y).
x \ (a(y,z,x \ 1) \ u) = u * L(u \ (x \ u),z,y).
a(x,y,z) \ ((1 / z) \ u) = u * L(u \ ((1 / z) \ u),y,x).
a(x / L(y,z,u),L(y,z,u),w) = ((x / y) * (y * w)) \ (x * w).
((x / y) * (y * z)) \ (x * z) = a(x / L(y,u,w),L(y,u,w),z).
L(x,L(y,z,u),w / L(y,z,u)) = w \ ((w / y) * (y * x)).
x \ ((x / y) * (y * z)) = L(z,L(y,u,w),x / L(y,u,w)).
x * T(a(y,z,u),w) != v5 * (u * T(a(y,z,u),w)) | v5 * u = x.
x * (y * T(a(z,u,y),w)) != v5 * T(a(z,u,y),w) | x * y = v5.
L(1 / x,y,z) * (K(x \ 1,x) * u) = a(z,y,x \ 1) \ ((x \ 1) * u).
a(x,y,z \ 1) \ ((z \ 1) * u) = L(1 / z,y,x) * (K(z \ 1,z) * u).
a(x,y,z / (z / (u \ 1))) = a(x,y,z / (z * u)).
x / (x / a(y,z,u \ 1)) = a(y,z,x / (x * u)).
((x * a(y,z,x)) / x) * (x * u) = (x * a(y,z,x)) * u.
(x * a(y,z,x)) * u = ((x * a(y,z,x)) / x) * (x * u).
R(T(x \ L(x,y,z),u),x,w) * (x * w) = (x * T(x \ L(x,y,z),u)) * w.
L(a((x * y) / x,x,R(y,x,y)),y,z) = a((x * y) / x,x,R(y,x,y)).
L(a(x,y,z),L(z,y,x),u) = a(x,y,z).
(T(x,y) / (x * y)) * ((1 / y) \ z) = a(y \ 1,y,T(x,y)) * z.
(x / (y * x)) * ((1 / y) \ z) = a(y \ 1,y,x) * z.
a(x \ 1,x,y) * T(x,y) = y \ ((1 / x) \ y).
x \ ((1 / y) \ x) = a(y \ 1,y,x) * T(y,x).
L(x,y,y \ 1) \ (y * x) = x \ ((1 / y) \ x).
x \ ((1 / y) \ x) = L(x,y,y \ 1) \ (y * x).
(x * ((1 / y) \ z)) / (y * z) = x * a(y \ 1,y,z).
a(x \ 1,x,T(y,x)) * (y * x) = (1 / x) \ T(y,x).
((1 / x) \ y) / (x * y) = a(x \ 1,x,y).
a(x \ 1,x,y) * (x * y) = (1 / x) \ y.
R(a(x,y,z),L(z,y,x),u) = a(x,y,z).
T((x * (y * a(z,u,w))) / x,L(w,u,z)) = (x * (a(z,u,w) * T(y,w))) / x.
(x * (a(y,z,u) * T(w,u))) / x = T((x * (w * a(y,z,u))) / x,L(u,z,y)).
L(x,y,z) * T(u,x \ L(x,y,z)) = x * (u / a(z,y,x)).
(L(x,y,z) \ 1) \ (x / L(x,y,z)) = T(x,L(x,y,z) \ 1).
L(a(x,y,z) \ 1,z,u) = a(x,y,z) \ 1.
L(a(x,y,L(z,u,w)) \ 1,L(z,u,w),w * u) = (w * (u * z)) \ ((w * u) * L(L(z,u,w),y,x)).
(x * (y * z)) \ ((x * y) * L(L(z,y,x),u,w)) = L(a(w,u,L(z,y,x)) \ 1,L(z,y,x),x * y).
a(x,y,z) \ (a(x,y,z) / z) = T(1 / z,a(x,y,z)).
T((x * (y * z)) / z,a(x,y,z)) = a(x,y,z) \ (x * y).
a(x,y,z) \ (x * y) = T((x * (y * z)) / z,a(x,y,z)).
T(x * a(y,z,u),L(u,z,y)) = a(y,z,u) * T(x,u).
L(x,T(a(y,z,u) \ 1,w),v5) = x.
L(x,y \ (a(z,u,w) \ y),v5) = x.
x / a(y,z,(u \ w) \ w) = x * (w \ (a(y,z,u) \ w)).
x * (y \ (a(z,u,w) \ y)) = x / a(z,u,(w \ y) \ y).
(x * ((x \ y) * z)) \ (z * y) = a(x,x \ y,z) * K(z,y).
R(1 / x,x,1 / y) = R(1 / x,x,y \ 1).
a(x,y,z / (z / u)) = z / (z / a(x,y,u)).
x / (x / a(y,z,u)) = a(y,z,x / (x / u)).
a(x,y,(z / u) / (1 / u)) \ (z / u) = L(z,y,x) / u.
a(x,y,(z \ u) \ u) \ 1 = u \ (a(x,y,z) \ u).
x \ (a(y,z,u) \ x) = a(y,z,(u \ x) \ x) \ 1.
(x \ (a(y,z,x) \ u)) \ (x \ u) = a(y,z,T(x,x \ (x \ u))).
a(x,y,T(z,z \ (z \ u))) = (z \ (a(x,y,z) \ u)) \ (z \ u).
T(a(x,y,z),a(x,y,z) \ u) = a(x,y,T(z,z \ u)).
a(x,y,T(z,z \ u)) = (a(x,y,z) \ u) \ u.
a(x,y,(z \ u) \ u) = (a(x,y,z) \ u) \ u.
(a(x,y,z) \ u) \ u = a(x,y,(z \ u) \ u).
1 / (x \ ((1 / (y / x)) * y)) = ((1 / (y / x)) * y) \ x.
a(x * y,y \ 1,y) \ z = (L(y \ 1,y,x) * y) * z.
(L(x \ 1,x,y) * x) * z = a(y * x,x \ 1,x) \ z.
x / (L(y \ 1,y,z) * y) = x * a(z * y,y \ 1,y).
(L(x \ 1,x,y) * x) \ z = a(y * x,x \ 1,x) * z.
x / a(y * z,z \ 1,z) = x * (L(z \ 1,z,y) * z).
x * (L(y \ 1,y,z) * y) = x / a(z * y,y \ 1,y).
(x * L(y,z,u)) * (L(y,z,u) \ w) = (x * y) * (y \ w).
(x * y) * (y \ z) = (x * L(y,u,w)) * (L(y,u,w) \ z).
R(x,L(y,z,u),w) * (L(y,z,u) * w) = (x * y) * (a(u,z,y) \ w).
L(x,y,z) * ((u * L(x,y,z)) \ w) = x * ((u * x) \ w).
(x * L(y,z,u)) \ (y * x) = a(u,z,y) * K(y,x).
a(x,y,z) * K(z,u) = (u * L(z,y,x)) \ (z * u).
a(x,y,z) * T(u,z * a(x,y,z)) = T(u * a(x,y,z),z).
T(x * a(y,z,u),u) = a(y,z,u) * T(x,u * a(y,z,u)).
(x / y) / a(z,u,y \ 1) = x * L(x \ (x / y),u,z).
x * (y * L(y \ (x \ y),z,u)) = a(u,z,x \ 1) \ y.
a(x,y,z \ 1) \ (z \ u) = u * L(u \ (z \ u),y,x).
(a(x,y,z \ 1) \ u) * L(w,u,z * L(z \ 1,y,x)) = (z * L(z \ 1,y,x)) * (u * w).
(x / L(y,z,u)) * (L(y,z,u) * w) = (x / y) * (y * w).
R(x,y,y) * (x \ z) = a(R(x,y,y),y,y) * z.
a(R(x,y,y),y,y) * z = R(x,y,y) * (x \ z).
(x * (R(x,y,z) * (x \ ((u * R(x,y,z)) \ (u * w))))) \ w = a(u,R(x,y,z),R(x,y,z) \ w).
a(x,x \ y,(x \ y) \ 1) * z = ((x \ y) * (y \ x)) \ z.
((x \ y) * (y \ x)) \ z = a(x,x \ y,(x \ y) \ 1) * z.
L(x,y / x,x / y) = (1 / (y / x)) * y.
a(x,x \ 1,y) * T(x \ 1,y) = y \ (x \ y).
x \ (y \ x) = a(y,y \ 1,x) * T(y \ 1,x).
(((x / y) * (y * (y \ 1))) \ (x * (y \ 1))) \ z = (y * (((x / y) * y) \ (x / y))) * z.
(x * (((y / x) * x) \ (y / x))) * z = (((y / x) * (x * (x \ 1))) \ (y * (x \ 1))) \ z.
a(x,x \ y,(x \ y) \ 1) \ z = ((x \ y) * (y \ x)) * z.
((x \ y) * (y \ x)) * z = a(x,x \ y,(x \ y) \ 1) \ z.
(x * ((y * z) \ y)) * a(y,z,z \ 1) = R(x / z,z,(y * z) \ y).
R(x / y,y,(z * y) \ z) = (x * ((z * y) \ z)) * a(z,y,y \ 1).
((x \ y) \ 1) \ L((x \ y) \ 1,x \ y,x) = (x \ y) * (y \ x).
R(x,y,x) / x = x \ R(x,y,x).
x \ R(x,y,x) = R(x,y,x) / x.
x \ (R(x,y,y) * z) = a(R(x,y,y),y,y) * z.
a(R(x,y,y),y,y) * z = x \ (R(x,y,y) * z).
a(R(x,y,z),y,z) = (x * y) \ (R(x,y,z) * y).
(x * y) \ (R(x,y,z) * y) = a(R(x,y,z),y,z).
T(x * (y / (x * y)),x * y) = x * (y / (x * y)).
L(x,(y * (z / (y * z))) \ 1,u) = x.
(x \ L(x,y,z)) \ (x * (1 / (x * a(z,y,x)))) = K(x,(x \ L(x,y,z)) / x).
(x * y) * T(a(z,u,y),w) = x * (y * T(a(z,u,y),w)).
L(T(a(x,y,z),u),z,w) = T(a(x,y,z),u).
x \ ((y * x) * a(z,u,T(y,x))) = T(y,x) * a(z,u,T(y,x)).
(x * y) * (z * a(R(x,y,z),y,z)) = (R(x,y,z) * y) * z.
R(x,T(y,x),a(z,u,x)) \ (y * (x * a(z,u,x))) = T(y,x) * a(z,u,x).
L(a(x,y,z),z,u) = a(x,y,z).
R(x,y,a(z,u,y)) = x.
(x / y) * (y * a(z,u,y)) = x * a(z,u,y).
a(x,y,z) \ (((z \ 1) \ 1) * u) = L((z \ 1) \ 1,y,x) * u.
a(x,y,z) / ((z \ 1) \ 1) = 1 / L((z \ 1) \ 1,y,x).
a(x,y,T(z,z \ 1)) = a(x,y,z).
L(1 / x,y,z) \ 1 = a(z,y,x \ 1) * x.
a(x,y,z \ 1) \ ((1 / z) * u) = L(1 / z,y,x) * u.
a(x \ 1,x,y \ 1) / x = R(1 / x,x,1 / y).
a(x,y,R(z,z \ u,u \ 1)) = a(x,y,((z \ u) * (u \ 1)) \ 1).
a(x,y,L(z,u / z,1 / u)) = a(x,y,1 / ((1 / u) * (u / z))).
a(x,y,1 / ((1 / z) * (z / u))) = a(x,y,L(u,z / u,1 / z)).
a(x,y,(z \ 1) \ 1) = a(x,y,z).
a(x,y,z) = a(x,y,(z \ 1) \ 1).
a(x,y,1 / z) = a(x,y,z \ 1).
(x \ L(x,y,z)) / x = 1 / (x * a(z,y,x)).
x / (y * (z * L(z \ (y \ x),u,w))) = a(w,u,x / (y * z)).
x / (x * (y * L(y \ 1,z,u))) = a(u,z,x / (x * y)).
x / ((x / y) * L(y,z,u)) = a(u,z,x / (x / y)).
(x * y) * a(z,u,y) = x * (y * a(z,u,y)).
(x / y) * (a(z,u,y) * y) = x * a(z,u,y).
x * a(y,z,u) = (x / u) * (a(y,z,u) * u).
1 / (a(x,y,z \ 1) \ 1) = a(x,y,1 / z).
(x \ L(x,y,z)) / x = 1 / (a(z,y,x) * x).
a(x \ 1,(x \ 1) \ 1,y) = a(1 / x,x,y).
a(1 / x,x,y) = a(x \ 1,(x \ 1) \ 1,y).
(a(x,y,z \ 1) \ z) * u = z * (a(x,y,z \ 1) \ u).
((x * a(y,z,x)) / x) * (x * u) = x * (a(y,z,x) * u).
(a(x,y,z) * u) \ (z * (a(x,y,z) * u)) = L(T(z,u),u,a(x,y,z)).
(x * a(y,z,x)) \ u = x \ (a(y,z,x) \ u).
(x * (y * L(y \ (x \ z),u,w))) \ z = a(w,u,(x * y) \ z).
(x * ((y * x) \ (y * z))) \ z = a(y,x,x \ z).
a(x,y,z / (1 / u)) \ z = L(z * u,y,x) / u.
x / (y * L(y \ x,z,u)) = a(u,z,x / y).
R(L(x / y,z,u) \ 1,L(x / y,z,u),L(x / y,z,u) \ x) = T((a(u,z,x / y) * y) / x,L(x / y,z,u)).
T((a(x,y,z / u) * u) / z,L(z / u,y,x)) = R(L(z / u,y,x) \ 1,L(z / u,y,x),L(z / u,y,x) \ z).
x \ (y * L(y \ x,z,u)) = a(u,z,y \ x) \ 1.
L(a(x,y,z \ 1),z \ 1,z) / (z \ 1) = z * a(x,y,z \ 1).
(x * y) * a(z,u,y) = x * (a(z,u,y) * y).
(x * y) \ ((x * (y * z)) / z) = a(x,y,z) \ 1.
1 / (x * L(x \ 1,y,z)) = a(z,y,1 / x).
(L(x,y,z) / x) / x = 1 / (a(z,y,x) * x).
L(x,y,y \ 1) \ (1 / y) = x \ R(1 / y,y,x).
x \ R(1 / y,y,x) = L(x,y,y \ 1) \ (1 / y).
K(R(1 / x,x,y) \ 1,R(1 / x,x,y)) / (a(x \ 1,x,y) \ x) = 1 / (1 / R(1 / x,x,y)).
a(x \ 1,(x \ 1) \ 1,y) = a(x \ 1,x,y).
a(x \ 1,x,y) = a(x \ 1,(x \ 1) \ 1,y).
a(x,1 / x,y) = a(x,x \ 1,y).
a((x \ 1) \ 1,x \ 1,y) * ((x \ 1) * y) = x \ y.
x / a(y,z,x \ 1) = a(y,z,x \ 1) \ x.
a(x,y,z \ 1) \ z = z / a(x,y,z \ 1).
T(x,a(y,z,x \ 1) \ 1) = x.
L(x,y,z) * (x \ T(u,L(x,y,z))) = T(u / a(z,y,x),x).
T(x * y,a(x,y,y \ 1) \ 1) = a(x,y,y \ 1) * (x / (y \ 1)).
a(x,y,y \ 1) * (x / (y \ 1)) = T(x * y,a(x,y,y \ 1) \ 1).
a(x,y,y \ 1) * ((x * y) \ z) = (x / (y \ 1)) \ z.
(x / (y \ 1)) \ z = a(x,y,y \ 1) * ((x * y) \ z).
(x * T(y,x * y)) \ (y * x) = a(y,x,y).
a(x,y,x) = (y * T(x,y * x)) \ (x * y).
(x * y) / a(x,y,y \ 1) = x / (y \ 1).
L((x * y) \ x,z,u) \ (a(u,z,(x * y) \ x) \ (y \ 1)) = a(x,y,y \ 1).
((x \ y) \ L(x \ y,x,x \ 1)) * z = (((x \ y) / y) * x) \ z.
((x \ (x * y)) / (x * y)) * x = a(x \ 1,x,y).
a(x \ 1,x,y) = ((x \ (x * y)) / (x * y)) * x.
R(x,y,y \ 1) \ x = y * ((x * y) \ x).
(x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z.
x / ((x / y) * (y / x)) = L(x,y / x,x / y).
L(x,y / x,x / y) = x / ((x / y) * (y / x)).
(1 / (x * a(y,z,x))) * (((x \ 1) / a(y,z,x)) * (a(y,z,x) / (x \ 1))) = (x \ 1) / a(y,z,x).
a(x \ (a(y,z,x) * 1),L(x,z,y),u) = a(1 / L(x,z,y),L(x,z,y),u).
a(1 / L(x,y,z),L(x,y,z),u) = a(x \ (a(z,y,x) * 1),L(x,y,z),u).
a(x,y,z) / (z \ 1) = z * a(x,y,z).
L(x,y,z) \ (a(u,w,x) * v5) = a(z,y,x) * (L(x,w,u) \ v5).
L(x,y \ 1,y) \ ((y \ 1) * x) = x \ (y \ x).
L(x,y,z) \ (u / a(z,y,x)) = x \ T(u,a(z,y,x) \ 1).
((x * y) \ z) \ (a(x,y,y \ (x \ z)) \ u) = (y \ (x \ z)) \ u.
x \ (a(y,z,x) * u) = L(x,z,y) \ u.
L(x,y,z) \ u = x \ (a(z,y,x) * u).
a(x,y,z) * (z * u) = z * (a(x,y,z) * u).
(x \ (y * ((x \ y) \ 1))) * (L((x \ y) \ 1,x \ y,x) * z) = ((x \ y) \ 1) * z.
a(x,y,y \ 1) * (((x * y) \ x) * z) = (y \ 1) * z.
a(x,y,z) * (u * L(z,y,x)) = z * T(u,L(z,y,x)).
T(a(x,y,z),L(z,y,x) * u) = (L(z,y,x) * u) \ (z * u).
R(a(x,y,z),L(z,y,x) * u,w) = ((z * u) * w) / ((L(z,y,x) * u) * w).
T(a(x,y,z),u) * (L(z,y,x) * w) = K(a(x,y,z),u) * (z * w).
((L(x,y,z) * u) * w) / ((x * u) * w) = R(a(z,y,x) \ 1,x * u,w).
(x * (y * z)) / (L(y,u,w) * z) = x * a(w,u,y).
(x * y) / (L(x,z,u) * y) = a(u,z,x).
(x * a(y,z,x)) \ a(y,z,x) = x \ 1.
x * (L(x,y,z) \ u) = a(z,y,x) * u.
a(x,y,z) * u = z * (L(z,y,x) \ u).
T(x * y,L(x,y,x)) = a(x,y,x) * (y * x).
a(x,y,x) * (y * x) = T(x * y,L(x,y,x)).
(L(a(x,y,z),u,w) \ z) / L(z,y,x) = a(w,u,a(x,y,z)).
(L(x / y,z,u) \ x) / y = a(u,z,x / y).
a(x,y,z) \ (z \ u) = z \ (a(x,y,z) \ u).
x \ (a(y,z,x) \ u) = a(y,z,x) \ (x \ u).
L(x,y,z) * R(u,x,T(u,x)) = a(z,y,x) \ T(u * x,u).
a(x,y,z) \ (T(z,u) \ z) = L(z,y,x) * (T(z,u) \ 1).
L(x,y,z) * (T(x,u) \ 1) = a(z,y,x) \ (T(x,u) \ x).
a(x,y,T(z,u)) \ (z \ T(z,u)) = L(T(z,u),y,x) * (z \ 1).
L(T(x,y),z,u) * (x \ 1) = a(u,z,T(x,y)) \ (x \ T(x,y)).
(x \ y) * L((x \ y) \ y,z,u) = a(u,z,x) \ y.
L(x,y,z) \ (a(z,y,x) \ u) = x \ u.
(a(x,y,z) \ u) / (z \ u) = L(z,y,x).
(x * L(x \ y,z,u)) \ y = a(u,z,x \ y).
(x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1).
L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)).
((x * ((1 / L(y,z,u)) * y)) / x) / y = (1 / y) * ((x * a(u,z,y)) / x).
(1 / x) * ((y * a(z,u,x)) / y) = ((y * ((1 / L(x,u,z)) * x)) / y) / x.
T(((x / L(y,z,u)) * y) / x,x / y) = R(a(u,z,y),x / y,y).
R(a(x,y,z),u / z,z) = T(((u / L(z,y,x)) * z) / u,u / z).
((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y).
a(x,y,z) = ((x * (y * z)) / z) \ (x * y).
((x * (y * z)) / z) \ (x * y) = a(x,y,z).
(x / (y \ 1)) \ (x * y) = a(x,y,y \ 1).
x \ (y / L(x \ y,z,u)) = a(u,z,x \ y).
((1 / (x / y)) * x) / y = y \ ((1 / (x / y)) * x).
T(x,x \ ((1 / (y / x)) * y)) = x.
T(x,x \ L(x,y,z)) = x.
K(x \ L(x,y,z),x) = 1.
L(x,y,z) * (T(a(z,y,x),u) * w) = x * (K(a(z,y,x),u) * w).
a(x,y,z) * (L(z,y,x) * u) = z * u.
x * y = a(z,u,x) * (L(x,u,z) * y).
x \ L(x,x \ 1,y * x) = L(x \ 1,x,y) * x.
L(x \ 1,x,y) * x = x \ L(x,x \ 1,y * x).
(a(x,y,K(z \ 1,z)) * K(z,z \ 1)) \ u = L(K(z \ 1,z),y,x) * u.
R(x,a(y,z,x) \ u,T(x,a(y,z,x) \ u)) = (a(y,z,x) \ u) \ T(L(x,z,y) * u,x).
(a(x,y,z) \ u) \ T(L(z,y,x) * u,z) = R(z,a(x,y,z) \ u,T(z,a(x,y,z) \ u)).
R(x,y,a(z,u,y) \ w) * (L(y,u,z) * w) = (x * y) * (a(z,u,y) \ w).
L(x,y,z) * (u * a(z,y,x)) = x * T(u,a(z,y,x)).
x * T(y,a(z,u,x)) = L(x,u,z) * (y * a(z,u,x)).
(a(x,y,z) \ u) \ (L(z,y,x) * u) = T(z,a(x,y,z) \ u).
T(x,a(y,z,x) \ u) = (a(y,z,x) \ u) \ (L(x,z,y) * u).
(x * (L(y,z,u) * w)) \ ((x * y) * (a(u,z,y) \ w)) = a(x,y,a(u,z,y) \ w).
a(x,y,a(z,u,y) \ w) = (x * (L(y,u,z) * w)) \ ((x * y) * (a(z,u,y) \ w)).
a(x,y,z) \ (z * u) = L(z,y,x) * u.
x * y != L(x,z,u) * (x * w) | y = L(x,z,u) * w.
a(x,y,z) \ (u * z) = L(z,y,x) * T(u,z).
x * y != L(x,z,u) * (w * x) | y = L(x,z,u) * T(w,x).
a(x,y,z / u) \ z = u * L(u \ z,y,x).
(x / y) * z != L(x / y,u,w) * x | z = y * L(y \ x,u,w).
a(x,y,z) \ (z \ a(x,y,z)) = z \ 1.
(x \ 1) * (a(y,z,1 / x) \ (L(1 / x,z,y) \ u)) = K(x \ 1,x) * u.
L(x,y,z) \ L(u,x \ 1,x) = a(z,y,x) * ((x \ 1) * u).
a(x,y,z) * ((z \ 1) * u) = L(z,y,x) \ L(u,z \ 1,z).
L(R(x,y,z),u,w) \ ((x * y) * z) = a(w,u,R(x,y,z)) * (y * z).
a(x,y,R(z,u,w)) * (u * w) = L(R(z,u,w),y,x) \ ((z * u) * w).
a(x,y,z \ u) * T(z,z \ u) = L(z \ u,y,x) \ u.
L(x / y,z,u) \ x = a(u,z,x / y) * y.
a(x,y,z / u) * u = L(z / u,y,x) \ z.
L(x,y,z) \ (u * x) = a(z,y,x) * T(u,x).
a(x,y,z) * T(u,z) = L(z,y,x) \ (u * z).
(x \ y) \ (L(x,z,u) \ y) = T(a(u,z,x),x \ y).
T(a(x,y,z),z \ u) = (z \ u) \ (L(z,y,x) \ u).
((L(x,y,z) \ u) * w) / ((x \ u) * w) = R(a(z,y,x),x \ u,w).
R(a(x,y,z),z \ u,w) = ((L(z,y,x) \ u) * w) / ((z \ u) * w).
(L(x,y,z) \ u) \ (a(z,y,x) * ((x \ u) * w)) = L(w,x \ u,a(z,y,x)).
L(x,y \ z,a(u,w,y)) = (L(y,w,u) \ z) \ (a(u,w,y) * ((y \ z) * x)).
L(x,y,z) \ (x * u) = a(z,y,x) * u.
a(x,y,z) * u = L(z,y,x) \ (z * u).
(L(x,y,z) \ u) / (x \ u) = a(z,y,x).
L(x,y,z) * (x \ u) = a(z,y,x) \ u.
a(x,y,z) \ u = L(z,y,x) * (z \ u).
((x / y) * T(L(y,z,u),w)) * ((x / y) \ 1) = T((x / a(u,z,y)) * ((x / y) \ 1),w).
T((x / a(y,z,u)) * ((x / u) \ 1),w) = ((x / u) * T(L(u,z,y),w)) * ((x / u) \ 1).
L(x,y,z) \ (u / a(z,y,x)) = T(u / x,L(x,y,z)).
T(x / y,L(y,z,u)) = L(y,z,u) \ (x / a(u,z,y)).
(x * (y * z)) \ (x * (y * L(z,u,w))) = L(a(w,u,z) \ 1,y * z,x).
(x * y) * (a(z,u,y) \ w) = (x * L(y,u,z)) * w.
(x * L(y,z,u)) * w = (x * y) * (a(u,z,y) \ w).
a(x,y,z) * ((u * z) \ w) = (u * L(z,y,x)) \ w.
(x * L(y,z,u)) \ w = a(u,z,y) * ((x * y) \ w).
(x * y) \ (x * L(y,z,u)) = a(u,z,y) \ 1.
(x * L(y,z,u)) \ (x * y) = a(u,z,y).
x / a(y,z,u \ x) = u * L(u \ x,z,y).
T(a(x,y,z),u) * z = z * T(a(x,y,z),u).
x * T(a(y,z,x),u) = T(a(y,z,x),u) * x.
L(L(x,y,z),u,w) * a(v5,v6,x) = a(v5,v6,x) * L(L(x,y,z),u,w).
a(x,y,z) * L(L(z,u,w),v5,v6) = L(L(z,u,w),v5,v6) * a(x,y,z).
x \ (y * (x * a(z,u,x))) = T(y * a(z,u,x),x).
(x * y) / (y * a(z,u,y)) = x / a(z,u,y).
(x * (y * a(z,u,y))) / y = x * a(z,u,y).
x / (x * a(y,z,x)) = a(y,z,x) \ 1.
T(a(x,y,z),z) = a(x,y,z).
(x * a(y,z,x)) / x = a(y,z,x).
T(x,a(y,z,x)) = x.
L(L(x,y,z),u,w) * a(z,y,x) = a(w,u,L(x,y,z)) \ x.
(x * a(y,z,u)) * u = (x * u) * a(y,z,u).
a(x,y,z) * z = z * a(x,y,z).
x * a(y,z,R(y,z,T(y,z))) = (x / y) * R(y,z,T(y,z)).
(x / y) * R(y,z,T(y,z)) = x * a(y,z,R(y,z,T(y,z))).
x \ (y * a(z,u,x)) = T(y / L(x,u,z),x).
T(x / L(y,z,u),y) = y \ (x * a(u,z,y)).
(x * L(y,z,u)) * a(u,z,y) = x * y.
x * y = (x * L(y,z,u)) * a(u,z,y).
(x * (y / a(z,u,y))) / L(y,u,z) = R(x,y / a(z,u,y),a(z,u,y)).
x * y != (z * (y / u)) * u | x = R(z,y / u,u).
(x * a(y,z,u)) / u = x / L(u,z,y).
((((x * y) * (1 / x)) / (x * y)) * x) * y = (x * y) * (a(x \ 1,x,y) / x).
x * (y * ((z * y) \ z)) = x / a(z,y,y \ 1).
x * (y * L(y \ 1,z,u)) = x / a(u,z,y \ 1).
(x * ((y * x) \ y)) * z = a(y,x,x \ 1) \ z.
(x * L(x \ 1,y,z)) * u = a(z,y,x \ 1) \ u.
x / (y * ((z * y) \ z)) = x * a(z,y,y \ 1).
a(x,y,z) \ ((u / z) \ w) = (u / L(z,y,x)) \ w.
(x / L(y,z,u)) \ w = a(u,z,y) \ ((x / y) \ w).
a(x,y,z) \ a(u,w,a(x,y,z)) = 1 / L(a(x,y,z),w,u).
1 / L(a(x,y,z),u,w) = a(x,y,z) \ a(w,u,a(x,y,z)).
(x / L(y,z,u)) \ (x / y) = a(u,z,y) \ 1.
(x * y) * a(z,u,L(y \ 1,y,x)) = x / L(L(y \ 1,y,x),u,z).
(x * (y / z)) \ (x * (y / L(z,u,w))) = L(a(w,u,z),y / z,x).
L(a(x,y,z),u / z,w) = (w * (u / z)) \ (w * (u / L(z,y,x))).
(x / y) \ (x / L(y,z,u)) = a(u,z,y).
(((x \ 1) \ y) \ (x * y)) \ z = (x * y) \ (((x \ 1) \ y) * z).
(x \ ((1 / (y / x)) * y)) \ z = ((1 / (y / x)) * y) \ (x * z).
(1 / (x \ ((1 / (y / x)) * y))) \ z = (x \ ((1 / (y / x)) * y)) * z.
x / ((y \ ((1 / (z / y)) * z)) \ 1) = x * (y \ ((1 / (z / y)) * z)).
L(x,((y \ 1) \ z) \ (y * z),u) = x.
x * (((y \ z) * (z \ y)) \ 1) = x / ((y \ z) * (z \ y)).
x / ((y \ z) * (z \ y)) = x * (((y \ z) * (z \ y)) \ 1).
(x / y) / ((z \ u) * (u \ z)) = x / (((z \ u) * (u \ z)) * y).
R(R(x,y,z),(u \ w) * (w \ u),v5) = ((x * y) * z) / (y * z).
R(x,(y \ z) * (z \ y),u) = x.
R(x,y * ((z * y) \ z),u) = x.
(x \ 1) \ L(x \ 1,x,y) = x * ((y * x) \ y).
(x \ L(x,y,z)) / L(x,y,z) = 1 / x.
R(x \ L(x,y,z),x,x \ u) = (L(x,y,z) * (x \ u)) / u.
T(x \ L(x,y,z),u) * x = x * T(x \ L(x,y,z),u).
T(x \ L(x,y,z),x) = x \ L(x,y,z).
L(x \ 1,x,(y / (x \ 1)) / x) \ 1 = (x \ 1) \ (((y / (x \ 1)) / x) \ y).
a(L(x,y,z),x \ a(z,y,x),u) = (L(x,y,z) * ((L(x,y,z) \ 1) * u)) \ (1 * u).
(L(x,y,z) * ((L(x,y,z) \ 1) * u)) \ (1 * u) = a(L(x,y,z),x \ a(z,y,x),u).
a(x,y,z) \ (z * ((L(z,y,x) \ 1) * u)) = L(u,L(z,y,x) \ 1,z).
L(x,L(y,z,u) \ 1,y) = a(u,z,y) \ (y * ((L(y,z,u) \ 1) * x)).
L(x,y \ ((1 / (z / y)) * z),u) = x.
L(x,(y \ z) \ ((1 / y) * z),u) = x.
R(x,y * L(y \ 1,z,u),w) = x.
L(x,y,z) / x = x \ L(x,y,z).
x \ L(x,y,z) = L(x,y,z) / x.
a(x,y,z) * (u / a(x,y,z)) = T(u,z \ L(z,y,x)).
a(x \ 1,x,x \ y) \ 1 = (x \ y) \ ((1 / x) * y).
a(x,y,1 / z) \ 1 = z * L(z \ 1,y,x).
L(x,y \ L(y,z,u),w) = x.
R(x,y \ L(y,z,u),w) = x.
(a(x,y,z) * u) * (u \ (z \ L(z,y,x))) = a(a(x,y,z),u,u \ (a(x,y,z) \ 1)).
((x * (y \ 1)) / x) \ ((x * ((z * y) \ z)) / x) = a(z,y,(x * (y \ 1)) / x) \ 1.
a(x,y,(z * (y \ 1)) / z) \ 1 = ((z * (y \ 1)) / z) \ ((z * ((x * y) \ x)) / z).
(x \ L(x,y,z)) * u = a(z,y,x) \ u.
x / (y \ L(y,z,u)) = x * a(u,z,y).
(L(x,y,z) \ 1) \ a(z,y,x) = T(x,L(x,y,z) \ 1).
L(x,y,z) \ 1 = x \ a(z,y,x).
x \ a(y,z,x) = L(x,z,y) \ 1.
a(x,y,z) = z * (L(z,y,x) \ 1).
x * (L(x,y,z) \ 1) = a(z,y,x).
L(a(x,y,L(z,u,w)),L(L(z,u,w),y,x),w * u) = ((w * u) * L(L(z,u,w),y,x)) \ (w * (u * z)).
a(x,y,R(x,y,T(x,y))) = x \ R(x,y,T(x,y)).
R(T(a(x,y,z),L(z,y,x) * u),L(z,y,x),u) = T((L(z,y,x) * u) \ (z * u),L(z,y,x)).
a((x * y) / x,x,R(y,x,y)) = y \ R(y,x,y).
L((x * y) \ x,z,u) \ L(y \ 1,z,u) = a(x,y,L(y \ 1,z,u)).
a(x,y,L(y \ 1,z,u)) = L((x * y) \ x,z,u) \ L(y \ 1,z,u).
L(a(x,y,T(z,u)),L(T(z,u),y,x),u) = (u * L(T(z,u),y,x)) \ (z * u).
L(x,y,z) * (a(z,y,x) * u) = x * u.
x * y = L(x,z,u) * (a(u,z,x) * y).
L(a(x,y,z),L(z,y,x),u) = (u * L(z,y,x)) \ (u * z).
((x * y) \ x) \ (y \ 1) = a(x,y,y \ 1).
L(L(x,y,z),u,w) \ L(x,u,w) = a(z,y,L(x,u,w)).
(x * y) \ (x * L(y,z,u)) = L(a(u,z,y) \ 1,y,x).
x * (a(y,z,x) \ u) = L(x,z,y) * u.
L(x,y,z) * u = x * (a(z,y,x) \ u).
a(x,y,z) \ (L(z,y,x) \ u) = z \ u.
a(x,y,z) * (z \ u) = L(z,y,x) \ u.
L(x,y,z) \ u = a(z,y,x) * (x \ u).
x / (a(y,z,x / u) * u) = L(x / u,z,y).
L(x / y,z,u) = x / (a(u,z,x / y) * y).
x \ (L(x,y,z) * u) = a(z,y,x) \ u.
(x \ L(x,y,z)) \ u = a(z,y,x) * u.
x * (y \ L(y,z,u)) = x / a(u,z,y).
L(x,y,z) = x * (a(z,y,x) \ 1).
x * (a(y,z,x) \ 1) = L(x,z,y).
a(x,y,z) \ 1 = z \ L(z,y,x).
x \ L(x,y,z) = a(z,y,x) \ 1.
a(x,y,z) = L(z,y,x) \ z.
L(x,y,z) \ x = a(z,y,x).
L(x,y,z) * a(z,y,x) = x.
(x / y) * L(y,z,u) = x / a(u,z,y).
x / a(y,z,u) = (x / u) * L(u,z,y).
(x * y) / a(z,u,y) = x * L(y,u,z).
(L(x,y,z) / x) / x = (1 / x) / a(z,y,x).
L(x,y,z) = x / a(z,y,x).
x / a(y,z,x) = L(x,z,y).
(L(x,y,z) * u) / T(x,u) = u / a(z,y,T(x,u)).
a(R(x,y,y),y,y) * (R(x,y,y) \ z) = x \ z.
x * a(R(x,y,y),y,y) = R(x,y,y).
(x / L(y,z,u)) * y = x * a(u,z,y).
x * a(y,z,u) = (x / L(u,z,y)) * u.
(x * y) * a(R(x,y,z),y,z) = R(x,y,z) * y.
(x * T(y,z)) / T(y,y * z) = x * a(y,z,T(y,z)).
K(L(x,y,z) \ 1,L(x,y,z)) * a(z,y,x) = (L(x,y,z) \ 1) * x.
(L(x,y,z) \ 1) * x = K(L(x,y,z) \ 1,L(x,y,z)) * a(z,y,x).
a(x,y,z) * (a(u,w,a(x,y,z)) \ v5) = (1 / L(a(x,y,z),w,u)) \ v5.
(1 / L(a(x,y,z),u,w)) \ v5 = a(x,y,z) * (a(w,u,a(x,y,z)) \ v5).
L(x,y,z) = (a(z,y,x) / x) \ 1.
(a(x,y,z) / z) \ 1 = L(z,y,x).
(1 / L(x,y,z)) \ a(z,y,x) = x.
(x * (1 / y)) / R(1 / y,y,z) = x / a(y \ 1,y,z).
R(1 / x,x,y) * ((1 / x) \ z) = a(x \ 1,x,y) * z.
a(x \ 1,x,y) * (R(1 / x,x,y) \ z) = (1 / x) \ z.
a(x \ 1,x,y) * (1 / x) = R(1 / x,x,y).
(x \ 1) / R(x \ 1,x,y) = a(x \ 1,x,y) \ 1.
(T(x,y) / (x * y)) * y = a(y \ 1,y,T(x,y)).
a((x / y) \ 1,x / y,y) = (y / x) * (x / y).
a(x \ 1,x,y) \ x = (y / (x * y)) \ 1.
R(1 / x,x,y) \ 1 = a(x \ 1,x,y) \ x.
a(x \ 1,x,x \ y) = ((x \ y) / y) * x.
a(x \ 1,x,y) / x = R(1 / x,x,y).
x * R(x \ 1,x,y) = a(x \ 1,x,y).
(x / (y * x)) * y = a(y \ 1,y,x).
(1 / x) * a(x \ 1,x,y) = R(1 / x,x,y).
a((1 / x) \ 1,1 / x,y) = a(x,x \ 1,y).
a((x \ 1) \ 1,x \ 1,y) = a(x,x \ 1,y).
a(x,x \ 1,y) = a((x \ 1) \ 1,x \ 1,y).
a(x,y,y \ 1) \ 1 = y * ((x * y) \ x).
a(x,y,z \ 1) \ 1 = z * L(z \ 1,y,x).
x * (L(y,z,u) / y) = x / a(u,z,y).
((x * y) \ z) / (y \ (x \ z)) = a(x,y,y \ (x \ z)) \ 1.
a(x,y,y \ (x \ z)) \ 1 = ((x * y) \ z) / (y \ (x \ z)).
x / (((y \ z) * (z \ y)) \ u) = (x / u) * ((y \ z) * (z \ y)).
(x * ((y \ z) * (z \ y))) \ u = ((y \ z) * (z \ y)) \ (x \ u).
((x \ y) * (y \ x)) \ (z \ u) = (z * ((x \ y) * (y \ x))) \ u.
L(x,y * (z \ (z / y)),u) = x.
L(x,(y \ z) * (z \ y),u) = x.
L(x,y * ((z * y) \ z),u) = x.
x \ (y * L(x,z,u)) = T(y / a(u,z,x),x).
(x / a(y,z,u)) * u = x * L(u,z,y).
(L(x,y,z) / x) * u = a(z,y,x) \ u.
x / (L(y,z,u) / y) = x * a(u,z,y).
a(x,y,z) / z = 1 / L(z,y,x).
a(1 / x,x,y) = a(x \ 1,x,y).
a(x \ 1,x,y) = a(1 / x,x,y).
((x \ 1) \ 1) / (a(y,x,x \ 1) \ x) = a(y * x,x \ 1,(x \ 1) \ 1).
a(x * y,y \ 1,(y \ 1) \ 1) = ((y \ 1) \ 1) / (a(x,y,y \ 1) \ y).
R(a(x,y,R(z,u,w)),L(R(z,u,w),y,x),u * w) = ((z * u) * w) / (L(R(z,u,w),y,x) * (u * w)).
a((x * y) / x,x,R(y,x,y)) = R(y,x,y) / y.
a(x / y,y / x,x) = (x / y) * (y / x).
a(x,y / (x * y),x * y) = x * (y / (x * y)).
L(x,y,z) / L(L(x,u,w),y,z) = a(w,u,L(x,y,z)).
a(x,y,L(z,u,w)) = L(z,u,w) / L(L(z,y,x),u,w).
a(x,y,z) \ (u / L(z,y,x)) = T(u / z,a(x,y,z)).
T(x / y,a(z,u,y)) = a(z,u,y) \ (x / L(y,u,z)).
L(x,L(y,z,u) / y,w) = x.
(x / L(y,z,u)) * (a(u,z,y) \ w) = (x / y) * w.
(x / y) * z = (x / L(y,u,w)) * (a(w,u,y) \ z).
T(x * a(y,z,u),L(u,z,y)) = L(u,z,y) \ (x * u).
L(x,y,z) \ (u * x) = T(u * a(z,y,x),L(x,y,z)).
R(T(a(x,y,z),L(z,y,x) * u),L(z,y,x),u) = (L(z,y,x) * u) \ (z * u).
(L(x,y,z) * u) \ (x * u) = R(T(a(z,y,x),L(x,y,z) * u),L(x,y,z),u).
(x / y) * a(z,u,y) = x / L(y,u,z).
(x * L(y,z,u)) / y = x / a(u,z,y).
(x * y) / L(y,z,u) = x * a(u,z,y).
a(x,y,z) \ 1 = L(z,y,x) / z.
L(x,y,z) / x = a(z,y,x) \ 1.
R(a(x,y,z),L(z,y,x),u) = (z * u) / (L(z,y,x) * u).
(a(x,y,z) * (L(z,y,x) * u)) \ (z * u) = a(a(x,y,z),L(z,y,x),u).
a(a(x,y,z),L(z,y,x),u) = (a(x,y,z) * (L(z,y,x) * u)) \ (z * u).
L(x,y,z) = a(z,y,x) \ x.
a(x,y,z) \ z = L(z,y,x).
a(x,y,z) = z / L(z,y,x).
x / L(x,y,z) = a(z,y,x).
a(x,y,z) * L(z,y,x) = z.
T(R(x,y,y),L(y,y,R(x,y,y))) = L(y,y,R(x,y,y)) \ (x * y).
(1 / (1 / L(x,y,z))) \ (x / (x / L(x,y,z))) = (x / (x / L(x,y,z))) * ((x / L(x,y,z)) / x).
((x * (1 / L(y,z,u))) * y) / (y / L(y,z,u)) = R(x,1 / L(y,z,u),y).
R(x,1 / L(y,z,u),y) = ((x * (1 / L(y,z,u))) * y) / (y / L(y,z,u)).
(x / L(x,y,z)) / x = 1 / L(x,y,z).
(1 / L(x,y,z)) * x = x / L(x,y,z).
x / L(x,y,z) = (1 / L(x,y,z)) * x.
(x * y) / L(y,y,R(x,y,y)) = R(x,y,y).
R(x,y,y) = (x * y) / L(y,y,R(x,y,y)).
(x * y) / L(y,z,u) = (x / L(y,z,u)) * y.
((x * (y \ 1)) * (1 / y)) / (y \ 1) = x * L(y \ 1,y,(y \ z) / z).
((x * y) * (1 / (1 / y))) / y = x * L(y,y \ 1,y).
(x * L(y,z,u)) / y = (x / y) * L(y,z,u).
((x * y) * z) * L(z,y,x) = (x * (y * z)) * z.
(x * (y * z)) * z = ((x * y) * z) * L(z,y,x).
((x / L(y,z,u)) * y) * L(y,z,u) = x * y.
x * y = ((x / L(y,z,u)) * y) * L(y,z,u).
((x * y) * L(y,z,u)) / y = x * 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.
(x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w).
x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y.
(x * L(x \ y,z,u)) * w = x * (w * L(w \ (x \ (y * w)),z,u)).
((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)).
(x * y) * L((x * y) \ ((x * z) * y),u,w) = (x * L(z,u,w)) * y.
x * (y * ((x \ y) / y)) = T(y,R(1 / x,x,y)).
(x * ((y * (x \ 1)) / y)) * y = x * (y * ((x \ y) / y)).
T(x \ 1,x \ ((y * x) / y)) = x \ 1.
T(x,x * ((y * (x \ 1)) / y)) = x.
(x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)).
(x * y) * L((x \ y) / y,y,x) = (x * ((y * (x \ 1)) / y)) * y.
((x * y) * z) * ((u * ((R(x,y,z) * (y * z)) \ (y * z))) / u) = (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z).
((x * y) * L((x * y) \ z,u,w)) / y = x * L(x \ (z / y),u,w).
(x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y.
T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x.
(x / ((y * a(z,u,w)) / y)) * a(z,u,w) = x / (T(y,a(z,u,w)) / y).
x / (T(y,a(z,u,w)) / y) = (x / ((y * a(z,u,w)) / y)) * a(z,u,w).
a(x,y,z) \ ((u * a(x,y,z)) / u) = T(u,a(x,y,z)) / u.
T(x,a(y,z,u)) / x = a(y,z,u) \ ((x * a(y,z,u)) / x).
((x * y) / x) \ (y * T(x,R(y,y \ 1,x))) = L(x,y \ ((x * y) / x),y).
T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ ((y * x) / x)) * x.
(T(x,y) \ ((x * y) / y)) * y = T(y,R(T(x,y),T(x,y) \ 1,y)).
T(x,R(y,y \ 1,x)) != z * x | y \ ((x * y) / x) = z.
T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x).
(x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)).
(((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)).
T(x,R(y,y \ 1,x)) = (((x * y) / x) * (y \ 1)) * x.
(x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y.
T(x,x * L(x \ 1,y,z)) = x.
x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y.
(x * L(x \ 1,y,z)) * u = x * (u * L(u \ (x \ u),y,z)).
(x * L(x \ 1,y,z)) * x = x * (x * L(x \ 1,y,z)).
(x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y.
(x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w).
(x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y.
(L(1 / x,y,z) * x) * u = (x * u) * L((x * u) \ u,y,z).
(x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y.
(L(x / y,z,u) * y) * w = (y * w) * L((y * w) \ (x * w),z,u).
(1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x.
((x * (y * z)) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x).
(1 / x) * ((y * x) / y) = ((y * x) / y) / x.
(1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x.
((x * y) / x) / y = (1 / y) * ((x * ((1 / y) \ 1)) / x).
((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y.
((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z.
((x * (1 / (1 / y))) / x) * (1 / y) = ((x * (y / 1)) / x) / y.
L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y).
T(x,R(x,y,z) * u) = L(T(x,u),u,R(x,y,z)).
K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((x \ K(x,x \ 1)) \ y,z,u)).
x * ((1 / x) * R((x \ K(x,x \ 1)) \ y,z,u)) = K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u).
(x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w).
((x * y) * (a(z,u,w) * K(a(z,u,w),y))) / (a(z,u,w) * y) = R(R(x,y,a(z,u,w)),y * a(z,u,w),K(a(z,u,w),y)).
(x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)).
x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z).
R((x * y) / x,y \ 1,x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)).
R(1 / (1 / (1 / x)),x,x \ y) = (x * ((x \ y) / y)) / x.
(K(x,x \ 1) * (x \ y)) / y = (x * ((x \ y) / y)) / x.
((x * (1 / x)) * (x \ y)) / y = (x * ((x \ y) / y)) / x.
(x * ((x \ y) / y)) / x = ((x * (1 / x)) * (x \ y)) / y.
(x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y.
(((x * (1 / y)) / x) * y) * z = (y * z) * ((x * ((y * z) \ z)) / x).
R(1 / (x / y),x / y,y / x) = y / (((x / y) * (y / x)) * x).
R(x / ((1 / y) * z),(1 / y) * z,((y \ z) / z) * y) = (x * (((1 / y) * z) \ (y \ z))) / (y \ z).
R(x,(1 / y) * z,((y \ z) / z) * y) * (y \ z) = (x * ((1 / y) * z)) * (((1 / y) * z) \ (y \ z)).
(((x \ 1) \ y) / y) * (x \ 1) = (x * y) \ ((x \ 1) \ y).
(x * y) \ ((x \ 1) \ y) = (((x \ 1) \ y) / y) * (x \ 1).
((1 / x) * y) \ (x \ y) = ((x \ y) / y) * x.
((x \ y) / y) * x = ((1 / x) * y) \ (x \ y).
((x \ y) / (x * (x \ y))) * x = ((1 / x) * y) \ (x \ y).
((1 / x) * y) \ (x \ y) = ((x \ y) / (x * (x \ y))) * x.
R(x / (y * (z / (y * z))),y / (1 / (z / (y * z))),1 / (z / (y * z))) = (x * (1 / (z / (y * z)))) / y.
x / (1 / (y / (x * y))) = x * (y / (x * y)).
x * (y / (x * y)) = x / (1 / (y / (x * y))).
((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))).
x / (1 / (y / (x * y))) = ((x * y) / y) * (y / (x * y)).
(x * ((x \ y) / y)) \ (y / (x \ y)) = 1 / ((x \ y) / y).
(x / y) / (1 / (y / x)) = (x / y) * (y / x).
((x / y) * (y / x)) \ (x / y) = 1 / (y / x).
1 / (x / y) = ((y / x) * (x / y)) \ (y / x).
L((x / y) \ 1,x / y,y / x) = 1 / (x / y).
L(x \ 1,x,(x \ y) / y) = 1 / x.
L(x \ 1,x,y / (x * y)) = 1 / x.
T((x \ 1) \ 1,y) \ ((x \ T(x,y)) * x) = K(x \ 1,x).
K(x \ 1,x) = T((x \ 1) \ 1,y) \ ((x \ T(x,y)) * x).
T((x \ 1) \ 1,y) \ ((x \ T(x,y)) * x) = (x \ 1) * x.
1 / (((1 / (x / y)) * x) / y) = ((1 / (x / y)) * x) \ y.
(1 / x) * R(x,1 / x,y) = a(x,x \ 1,y).
R(a(1 / x,x,y),1 / x,z) = ((y / (x * y)) * z) / ((1 / x) * z).
a(1 / x,x,y) \ (y / (x * y)) = 1 / x.
(x / (y * x)) / (1 / y) = a(1 / y,y,x).
(x * (1 / y)) / R(1 / y,y,z) = x / a(1 / y,y,z).
R(1 / x,x,y) / (1 / x) = a(1 / x,x,y).
a(1 / x,x,y) * (1 / x) = R(1 / x,x,y).
R(1 / x,x,y) * ((1 / x) \ z) = a(1 / x,x,y) * z.
a(1 / x,x,y) * z = R(1 / x,x,y) * ((1 / x) \ z).
T(x,a(x,x \ 1,y)) = x.
T(x,a(1 / (x \ 1),x \ 1,y)) = x.
T(1 / (x \ 1),a(1 / (x \ 1),x \ 1,y)) = x.
T(1 / x,a(1 / x,x,y)) = 1 / x.
a(x,x \ 1,x * y) \ y = (x \ 1) * (x * y).
a(x / y,(x / y) \ 1,x) = y / (((x / y) \ 1) * x).
x / (((y / x) \ 1) * y) = a(y / x,(y / x) \ 1,y).
(x * (y \ z)) / ((y \ 1) * z) = x * a(y,y \ 1,z).
L(T(x \ 1,y),y,a(x,x \ 1,y)) = (a(x,x \ 1,y) * y) \ (x \ y).
(a(x,x \ 1,y) * y) \ (x \ y) = L(T(x \ 1,y),y,a(x,x \ 1,y)).
a(x,x \ 1,T(y,x \ 1)) * (y * (x \ 1)) = x \ T(y,x \ 1).
a(x,x \ 1,y) \ (x \ y) = (x \ 1) * y.
(x \ y) / ((x \ 1) * y) = a(x,x \ 1,y).
a(x,x \ 1,y) * ((x \ 1) * y) = x \ y.
x \ y = a(x,x \ 1,y) * ((x \ 1) * y).
((R(x,x \ 1,y) * z) * u) / ((x * z) * u) = R(a(x,x \ 1,y),x * z,u).
R(a(x,x \ 1,y),x * z,u) = ((R(x,x \ 1,y) * z) * u) / ((x * z) * u).
x \ ((y / ((x \ 1) * y)) * z) = a(x,x \ 1,y) * z.
x / ((x / y) * (y / x)) = (1 / (y / x)) * y.
((1 / (x / y)) * x) \ y = (y / x) * (x / y).
(x / y) * (y / x) = ((1 / (y / x)) * y) \ x.
(x \ 1) / R(x \ 1,x,y) = a(1 / x,x,y) \ 1.
a(1 / x,x,y) \ x = (y / (x * y)) \ 1.
(x / (y * x)) \ 1 = a(1 / y,y,x) \ y.
1 / (x * (y / (x * y))) = (x * (y / (x * y))) \ 1.
(x * (y / (x * y))) \ 1 = 1 / (x * (y / (x * y))).
(x / y) / ((z / u) * (u / z)) = x / (((z / u) * (u / z)) * y).
R(x,y * (z / (y * z)),u) = x.
x \ (y * (x * ((z / u) * (u / z)))) = ((z / u) * (u / z)) * T(y,x * ((z / u) * (u / z))).
x / (((y / z) * (z / y)) \ u) = (x / u) * ((y / z) * (z / y)).
(x * ((y / z) * (z / y))) \ u = ((y / z) * (z / y)) \ (x \ u).
((x / y) * (y / x)) \ (z \ u) = (z * ((x / y) * (y / x))) \ u.
x / (((y / z) * (z / y)) \ 1) = x * ((y / z) * (z / y)).
L(x,y * (z / (y * z)),u) = x.
R(x,(y / z) * (z / y),u) = x.
L(x,(y / z) * (z / y),u) = x.
R(x,((y \ z) / z) * y,u) = x.
L(x,((y \ z) / z) * y,u) = x.
a(1 / x,x,y) / x = R(1 / x,x,y).
K(x \ 1,x) * (y / (x * y)) = (x \ 1) * a(1 / x,x,y).
a(1 / (1 / x),1 / x,y) = (1 / x) * R(x,1 / x,y).
(1 / x) * R(x,1 / x,y) = a(1 / (1 / x),1 / x,y).
((1 / x) * y) \ (1 * (x \ y)) = ((x \ y) / (x * (x \ y))) * x.
((x \ y) / (x * (x \ y))) * x = ((1 / x) * y) \ (1 * (x \ y)).
a(1 / x,x,y) \ R(x \ 1,x,y) = x \ 1.
x * R(x \ 1,x,y) = a(1 / x,x,y).
a(1 / x,x,y) = x * R(x \ 1,x,y).
a(1 / x,x,y) \ (y / (x * y)) = L(x \ 1,x,y / (x * y)).
L(x \ 1,x,y / (x * y)) = a(1 / x,x,y) \ (y / (x * y)).
(T(x,y) / (x * y)) * y = a(1 / y,y,T(x,y)).
a(1 / x,x,x \ y) = ((x \ y) / y) * x.
((x \ y) / y) * x = a(1 / x,x,x \ y).
(K(x,x \ 1) / x) * a(1 / (1 / (1 / x)),1 / (1 / x),y) = R(1 / (1 / (1 / x)),1 / (1 / x),y).
a(1 / x,x,y) * (R(1 / x,x,y) \ z) = (1 / x) \ z.
R(1 / x,x,y) \ 1 = a(1 / x,x,y) \ x.
(1 / x) * (a(1 / x,x,y) * z) = R(1 / x,x,y) * z.
R(1 / x,x,y) * z = (1 / x) * (a(1 / x,x,y) * z).
T(1 / x,a(1 / x,x,y)) = T(1 / x,R(1 / x,x,y)).
T(1 / x,R(1 / x,x,y)) = T(1 / x,a(1 / x,x,y)).
(x / (y * x)) * y = a(1 / y,y,x).
a(1 / x,x,y) = (y / (x * y)) * x.
(1 / x) * y != R(1 / x,x,z) | y = (z / (x * z)) * x.
a(1 / (x / y),x / y,y) = (y / x) * (x / y).
(1 / (x / y)) * z != R(1 / (x / y),x / y,y) | z = (y / x) * (x / y).
(1 / x) * a(1 / x,x,y) = R(1 / x,x,y).
(T((x \ 1) \ 1,y) / K(y \ (y / (x \ 1)),y)) / x = a(x,x \ 1,T((x \ 1) \ 1,y)).
(x / ((y \ 1) * x)) / y = a(y,y \ 1,x).
(x * R(y,y \ 1,z)) / y = x * a(y,y \ 1,z).
R(x,x \ 1,y) / x = a(x,x \ 1,y).
a(x,x \ 1,y) * x = R(x,x \ 1,y).
a(x,x \ 1,y) * (x * z) = R(x,x \ 1,y) * z.
x * y != R(x,z,u) * (x * w) | y = R(x,z,u) * w.
R(x,x \ 1,y) * (x \ z) = a(x,x \ 1,y) * z.
a(x,x \ 1,y) * z = R(x,x \ 1,y) * (x \ z).
x * y != R(x,z,u) * w | y = R(x,z,u) * (x \ w).
a(1 / (x / y),x / y,y) = 1 / (((1 / (x / y)) * x) / y).
1 / (((1 / (x / y)) * x) / y) = a(1 / (x / y),x / y,y).
1 / (L(x,y,y \ 1) / x) = a(1 / y,y,x).
(x * y) / L(y,z,z \ 1) = x * a(1 / z,z,y).
a(1 / x,x,y) \ 1 = L(y,x,x \ 1) / y.
L(x,y,y \ 1) / x = a(1 / y,y,x) \ 1.
x / L(x,y,y \ 1) = a(1 / y,y,x).
a(1 / x,x,y) \ y = L(y,x,x \ 1).
a(1 / x,x,y) \ y = L(y,x,1 / x).
L(x,y,1 / y) = a(1 / y,y,x) \ x.
R(R(x,y,z),x \ 1,x) * (R(x,y,z) \ u) = R(x,y,z) \ (R((x \ 1) \ 1,y,z) * u).
R(x,y,z) \ (R((x \ 1) \ 1,y,z) * u) = R(R(x,y,z),x \ 1,x) * (R(x,y,z) \ u).
T((x \ 1) \ 1,y) \ ((T(x,y) * (x \ 1)) * x) = (x \ 1) * x.
R((x * y) \ z,(y \ (x \ z)) \ 1,y \ (x \ z)) = L(((y \ (x \ z)) \ 1) \ 1,y,x).
L(((x \ (y \ z)) \ 1) \ 1,x,y) = R((y * x) \ z,(x \ (y \ z)) \ 1,x \ (y \ z)).
R(R(x,y,z),x \ 1,x) = R((x \ 1) \ 1,y,z).
R((x \ 1) \ 1,y,z) = R(R(x,y,z),x \ 1,x).
R(T(x,y),x \ 1,x) = T((x \ 1) \ 1,y).
R(x,x \ 1,x) = (x \ 1) \ 1.
x * K(x,x \ 1) = R(x,x \ 1,x).
x * (a(x,x \ 1,y) * z) = R(x,x \ 1,y) * z.
R(x,x \ 1,y) * z = x * (a(x,x \ 1,y) * z).
R(x,x \ 1,y) \ x = a(x,x \ 1,y) \ 1.
L(a(x,x \ 1,y) \ z,a(x,x \ 1,y),x) = R(x,x \ 1,y) \ (x * z).
x * a(x,x \ 1,y) = R(x,x \ 1,y).
L(x,(1 / y) \ 1,1 / y) = a(1 / y,y,x) \ x.
a(1 / x,x,y) \ y = L(y,(1 / x) \ 1,1 / x).
(x * y) / L(y,z \ 1,z) = x * a(z,z \ 1,y).
a(x,x \ 1,y) \ y = L(y,x \ 1,x).
a(x,x \ 1,y) * L(y,x \ 1,x) = y.
L(x,y \ 1,y) * (a(y,y \ 1,x) * z) = x * z.
L(x,y \ 1,y) * (a(y,y \ 1,x) * z) = (1 * x) * z.
x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y.
x * (y * R(y \ (x \ (z * (x * y))),u,w)) = (x * y) * R(T(z,x * y),u,w).
(x * y) * R(T(z,x * y),u,w) = x * (y * R(y \ (x \ (z * (x * y))),u,w)).
(L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w).
x * K(a(y,z,u),a(y,z,u) \ x) = T(x,a(y,z,u) \ x).
a(x,y,z) \ (a(u,w,v5) * v6) = (a(x,y,z) \ a(u,w,v5)) * v6.
(a(x,y,z) \ a(u,w,v5)) * v6 = a(x,y,z) \ (a(u,w,v5) * v6).
((x \ R(x,y,z)) * x) \ (R(R(x,y,z),x \ 1,x) * u) = K(x,x \ 1) * u.
K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y).
(1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x.
((x \ y) / y) * x = (1 / x) \ ((x \ y) / y).
K(x \ 1,x) * (y / (x * y)) = (x \ 1) * ((y / (x * y)) * x).
(x \ 1) * ((y / (x * y)) * x) = K(x \ 1,x) * (y / (x * y)).
(1 / x) \ (y / (x * y)) = (y / (x * y)) * x.
(x / (y * x)) / ((x / (y * x)) * y) = 1 / y.
K(x / (y * x),(x / (y * x)) \ 1) * (y * (x / (y * x))) = ((x / (y * x)) \ 1) \ y.
((x / (y * x)) \ 1) \ y = K(x / (y * x),(x / (y * x)) \ 1) * (y * (x / (y * x))).
(1 / (x / (y * x))) * (y * (x / (y * x))) = y.
(L(x,y,z) / (L(x,y,z) / x)) * ((L(x,y,z) / x) / L(x,y,z)) = (1 / (1 / x)) \ (L(x,y,z) / (L(x,y,z) / x)).
(1 / (1 / x)) \ (L(x,y,z) / (L(x,y,z) / x)) = (L(x,y,z) / (L(x,y,z) / x)) * ((L(x,y,z) / x) / L(x,y,z)).
T((x / y) \ ((x / y) * (y / x)),1 / (y / x)) = (x / y) \ ((((1 / (y / x)) \ 1) \ 1) \ (x / y)).
((x \ y) / y) * (y / (x \ y)) = (1 / x) \ ((x \ y) / y).
(1 / x) \ ((x \ y) / y) = ((x \ y) / y) * (y / (x \ y)).
(x / (y * x)) / ((x / (y * x)) * y) = 1 / ((y * x) / x).
(x / y) * L(z,(x / y) * (y / x),1 / (y / x)) = (1 / (y / x)) * (((x / y) * (y / x)) * z).
(1 / (x / (y * x))) * (((y * x) / x) * (x / (y * x))) = y.
(1 / (x / y)) \ (y / x) = (y / x) * (x / y).
(x / y) / ((x / y) * (y / x)) = 1 / (y / x).
(1 / (x / y)) * ((y / x) * (x / y)) = y / x.
(1 / (x / y)) * ((y / x) * (x / y)) = (1 * y) / x.
((x * (1 / y)) \ x) * (x * (1 / y)) = x * (T(y,x * (1 / y)) / y).
R(x \ 1,(x \ 1) \ 1,x \ y) = ((x \ y) / y) * K(x \ 1,x).
a(1 / (1 / x),1 / x,y) = a(x,x \ 1,y).
L(x,1 / y,(1 / y) \ 1) = L(x,y \ 1,y).
L(x,y \ 1,y) = L(x,1 / y,(1 / y) \ 1).
a(1 / (1 / x),1 / x,y) = L(y,x \ 1,x) \ y.
L(x,y \ 1,y) \ x = a(1 / (1 / y),1 / y,x).
(x \ 1) \ L(y,x,x \ 1) = ((x \ 1) \ 1) * y.
L(x,1 / x,x) = 1 / (1 / x).
L(x,L(y \ z,y,1 / z) \ 1,L(y \ z,y,1 / z)) = L(x,(1 / z) * y,L(y \ z,y,1 / z)).
L(x,(1 / y) * z,L(z \ y,z,1 / y)) = L(x,L(z \ y,z,1 / y) \ 1,L(z \ y,z,1 / y)).
L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1).
L(x,y,y \ 1) = L(x,(y \ 1) \ 1,y \ 1).
L(x,1 / y,y) = L(x,y \ 1,y).
(1 / (1 / x)) * ((1 / x) * y) = L(y,x \ 1,x).
K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y).
(x \ 1) * (R(x \ 1,x,(1 / x) * y) \ y) = x * ((1 / x) * y).
x * ((1 / x) * y) = (x \ 1) * (R(x \ 1,x,(1 / x) * y) \ y).
((x * (y \ 1)) * y) \ (R(x,y \ 1,y) * z) = K(y,y \ 1) * z.
K(x,x \ 1) * y = ((z * (x \ 1)) * x) \ (R(z,x \ 1,x) * y).
L(L(x \ 1,L(x \ 1,x,y) \ 1,L(x \ 1,x,y)),x,y) = 1 / (1 / ((y * x) \ y)).
T(x * y,x) * ((x * y) \ T(x,y)) = R(x,y,T(x,y)).
R(x,y,T(x,y)) = T(x * y,x) * ((x * y) \ T(x,y)).
(x * y) \ (T(x * y,x) * T(x,y)) = R(x,y,T(x,y)).
(x * y) \ (T(x * y,x) * (y \ (x * y))) = R(x,y,T(x,y)).
x * (a(y,z,u) \ ((a(y,z,u) \ x) \ x)) = T(x,a(y,z,u) \ x).
T(x,a(y,z,u) \ x) = x * (a(y,z,u) \ ((a(y,z,u) \ x) \ x)).
T(L((x * y) * (x \ 1),z,u),L(y,z,u)) = (x * L(y,z,u)) * (x \ 1).
L((x * y) * (x \ 1),z,u) = (x * L(y,z,u)) * (x \ 1).
(x * L(y,z,u)) * (x \ 1) = L((x * y) * (x \ 1),z,u).
x * y != y * L(R(z,y,y \ 1),u,w) | x = L((y * z) * (y \ 1),u,w).
(R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z).
a(L(x,y,z),x \ u,(x \ u) \ 1) = L(x,y,z) \ L(u * ((x \ u) \ 1),y,z).
L(x,y,z) \ L(u * ((x \ u) \ 1),y,z) = a(L(x,y,z),x \ u,(x \ u) \ 1).
x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z).
x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)).
((x * (y / (1 / z))) / x) * (1 / z) = ((x * ((y * z) / 1)) / x) / z.
((x * ((y * z) / 1)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z).
((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x).
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
(L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z).
x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x).
(x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y.
(x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y.
(x * y) * a(x,(z \ y) * z,K(z,z \ y)) = (x * ((z \ y) * z)) * K(z,z \ y).
K(a(x,y,z) * u,a(x,y,z) \ 1) = u \ ((a(x,y,z) * u) / a(x,y,z)).
x \ ((a(y,z,u) * x) / a(y,z,u)) = K(a(y,z,u) * x,a(y,z,u) \ 1).
(a(x,y,z) \ u) \ (u / a(x,y,z)) = K(u,a(x,y,z) \ 1).
(x / (y / a(z,u,w))) * (a(z,u,w) \ v5) = (x / T(y,a(z,u,w) \ 1)) * v5.
(x / T(y,a(z,u,w) \ 1)) * v5 = (x / (y / a(z,u,w))) * (a(z,u,w) \ v5).
a(x,y,z) \ T(u,a(x,y,z) \ 1) = u / a(x,y,z).
a(x,y,z) * (u / a(x,y,z)) = T(u,a(x,y,z) \ 1).
T(x,a(y,z,u) \ 1) = a(y,z,u) * (x / a(y,z,u)).
x * L(y \ 1,y,z / y) = x * (z \ (z / y)).
x * L(y \ 1,y,z) = x * ((z * y) \ z).
x * ((y * z) \ y) = x * L(z \ 1,z,y).
(x / (y * L(z \ 1,z,x))) \ x = y * ((x * z) \ x).
(x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)).
(((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)).
T(x,R(1 / y,y,x)) = (((x * (1 / y)) / x) * y) * x.
(x / y) * (y * L(y \ x,z,u)) = L(x / y,z,u) * x.
(x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y.
T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y).
x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z).
((x \ y) \ y) * (x \ z) = x \ (((x \ y) \ y) * z).
((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z).
x * (((y * x) / y) \ z) = ((y * x) / y) \ (x * z).
((x * y) / x) * z != y * u | ((x * y) / x) * (y \ z) = u.
x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z.
x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z).
((x * y) / x) * (y \ z) = y \ (((x * y) / x) * z).
R((x * (1 / y)) / x,y,x) * (y * x) = T(x,R(1 / y,y,x)).
T(T(x,y),z) * (T(x,y) \ x) = x * (T(x,y) \ T(T(x,y),z)).
(a(x,y,z) * u) \ (T(a(x,y,z),w) * u) = T(K(a(x,y,z),w),a(x,y,z) * u).
T(K(a(x,y,z),u),a(x,y,z) * w) = (a(x,y,z) * w) \ (T(a(x,y,z),u) * w).
a(x,y,z) * (K(a(x,y,z),u) * w) = T(a(x,y,z),u) * w.
T(a(x,y,z),u) \ a(x,y,z) = K(a(x,y,z),u) \ 1.
K(a(x,y,z),u) \ 1 = T(a(x,y,z),u) \ a(x,y,z).
K(a(x,y,z),u) * (a(x,y,z) * w) = T(a(x,y,z),u) * w.
T(a(x,y,z),u) * w = K(a(x,y,z),u) * (a(x,y,z) * w).
T(a(x,y,z),u) * (a(x,y,z) \ w) = K(a(x,y,z),u) * w.
K(a(x,y,z),u) * w = T(a(x,y,z),u) * (a(x,y,z) \ w).
a(x,y,z) * (T(a(x,y,z),u) \ w) = K(a(x,y,z),u) \ w.
K(a(x,y,z),u) \ w = a(x,y,z) * (T(a(x,y,z),u) \ w).
K(a(x,y,z),u) * a(x,y,z) = T(a(x,y,z),u).
T(a(x,y,z),u) / a(x,y,z) = K(a(x,y,z),u).
x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z).
x * T(x \ (y * 1),z) = y * K(z \ (z / (y \ x)),z).
x * K(y \ (y / (x \ z)),y) = z * T(z \ (x * 1),y).
(1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x.
L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u).
(x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) / (1 / x).
((x * y) \ x) / (y \ 1) = y * ((x * y) \ x).
(x \ y) * L((x \ y) \ 1,x \ y,x) = (y \ (x * 1)) / ((x \ y) \ 1).
(x \ (y * 1)) / ((y \ x) \ 1) = (y \ x) * L((y \ x) \ 1,y \ x,y).
L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y).
(L(x,y,z) / (L(x,y,z) / x)) * (1 / x) = (1 / x) * R(x,1 / x,L(x,y,z)).
(1 / x) * R(x,1 / x,L(x,y,z)) = (L(x,y,z) / (L(x,y,z) / x)) * (1 / x).
L(x,L(y,z,u),1 / y) * ((1 / y) * L(y,z,u)) = (1 / y) * (L(y,z,u) * T(x,L(y,z,u) / y)).
(1 / x) * (L(x,y,z) * T(u,L(x,y,z) / x)) = L(u,L(x,y,z),1 / x) * ((1 / x) * L(x,y,z)).
L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z).
x * L(x \ 1,y,z) = L(x \ 1,y,z) / (x \ 1).
(L(x,y,z) / x) / L(x,y,z) = 1 / x.
(1 / x) * L(x,y,z) = L(x,y,z) / x.
(1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x.
L(x,y,z) / x = (1 / x) * L((1 / x) \ 1,y,z).
L(1 / (1 / x),y,z) * (1 / x) = L(x,y,z) / x.
L(x / (1 / y),z,u) * (1 / y) = L(x * y,z,u) / y.
L(1 / (1 / x),y,z) * (1 / x) = L(x / 1,y,z) / x.
K(R(1 / x,x,y),R(1 / x,x,y) \ 1) = (1 / (1 / (1 / (y / (x * y))))) * R(1 / x,x,y).
(1 / (1 / (1 / (x / (y * x))))) * R(1 / y,y,x) = K(R(1 / y,y,x),R(1 / y,y,x) \ 1).
K(R(1 / x,x,y),R(1 / x,x,y) \ 1) = ((R(1 / x,x,y) \ 1) \ 1) / (y / (x * y)).
((R(1 / x,x,y) \ 1) \ 1) / (y / (x * y)) = K(R(1 / x,x,y),R(1 / x,x,y) \ 1).
x / R(1 / y,y,y \ z) = x / ((y \ z) / z).
x / R(1 / y,y,z) = x / (z / (y * z)).
K(x / (y * x),(x / (y * x)) \ 1) = (1 / (1 / (1 / (x / (y * x))))) * R(1 / y,y,x).
(1 / (1 / (1 / (x / (y * x))))) * R(1 / y,y,x) = K(x / (y * x),(x / (y * x)) \ 1).
(x * (y / (z * y))) / R(1 / z,z,y) = x.
x * R(1 / y,y,z) = x * (z / (y * z)).
(x \ 1) * (a(y,x,x \ 1) \ x) = x \ L(x,x \ 1,y * x).
(x * (L(x,y,z) * T(T(u,L(x,y,z)),x))) \ ((u * L(x,y,z)) * x) = a(L(x,y,z),T(u,L(x,y,z)),x).
(x \ 1) * L(T(x,x \ 1),y,z) = x \ L(x,y,z).
((x \ 1) * L(x,y,z)) \ (x \ L(x,y,z)) = K(L(x,y,z),x \ 1).
K(L(x,y,z),x \ 1) = ((x \ 1) * L(x,y,z)) \ (x \ L(x,y,z)).
(x \ L(x,y,z)) \ ((x \ 1) * L(x,y,z)) = K(x \ 1,L(x,y,z)).
K(x \ 1,L(x,y,z)) = (x \ L(x,y,z)) \ ((x \ 1) * L(x,y,z)).
L(x,y,z) * (x \ T(u,L(x,y,z))) = x \ (u * L(x,y,z)).
x \ (y * L(x,z,u)) = L(x,z,u) * (x \ T(y,L(x,z,u))).
L(x,y,z) * (x \ 1) = x \ L(x,y,z).
x \ L(x,y,z) = L(x,y,z) * (x \ 1).
((x * (L(x,y,z) \ 1)) / x) \ (L(x,y,z) \ 1) = (L(x,y,z) \ 1) * (((L(x,y,z) \ x) / x) \ 1).
(L(x,y,z) \ 1) * (((L(x,y,z) \ x) / x) \ 1) = ((x * (L(x,y,z) \ 1)) / x) \ (L(x,y,z) \ 1).
(L(x,y,z) \ 1) \ (L(x,y,z) \ x) = T(x,L(x,y,z) \ 1).
T(x,L(x,y,z) \ 1) = (L(x,y,z) \ 1) \ (L(x,y,z) \ x).
((L(x,y,z) \ 1) * x) \ (L(x,y,z) \ x) = K(x,L(x,y,z) \ 1).
K(x,L(x,y,z) \ 1) = ((L(x,y,z) \ 1) * x) \ (L(x,y,z) \ x).
(L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x).
K(L(x,y,z) \ 1,x) = (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x).
x \ (L(x,y,z) \ x) = L(x,y,z) \ 1.
T(x * y,L(x,z,u)) / (x * (L(x,z,u) \ y)) = ((x * y) * L(x,z,u)) / (x * y).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
L(x,y,z) \ x = x * (L(x,y,z) \ 1).
x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u).
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x).
L(x,y,z) * (u * x) = x * (L(x,y,z) * T(u,x)).
L(x,y,z) * u != x * (L(x,y,z) * w) | x * w = u.
x * (L(x,y,z) * u) != L(x,y,z) * w | x * u = w.
x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u.
L(x,y,z) * u = x * (L(x,y,z) * (x \ u)).
L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u.
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
x * (L(x,y,z) * u) = L(x,y,z) * (x * u).
(x / y) * (y * L(T(x / y,y),z,u)) = L(x / y,z,u) * x.
x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y).
((1 / x) * y) / L(y,x,x \ 1) = R(1 / x,x,y).
(a(x,y,y \ 1) \ x) \ x = a(x,y,y \ 1).
x / a(x,y,y \ 1) = a(x,y,y \ 1) \ x.
a(x,y,y \ 1) \ x = x / a(x,y,y \ 1).
x * (a(x,y,y \ 1) \ 1) = a(x,y,y \ 1) \ x.
R(R(1 / a(x,y,y \ 1),a(x,y,y \ 1),x * z),R(x,y,y \ 1) * z,u) = ((x * z) * u) / ((a(x,y,y \ 1) * (x * z)) * u).
(x * y) \ (R(x,z,z \ 1) * y) = T(a(x,z,z \ 1),x * y).
T(a(x,y,y \ 1),x * z) = (x * z) \ (R(x,y,y \ 1) * z).
(x * y) / L(y,x \ 1,x) = R(x,x \ 1,y).
T(x * y,x) \ (T(y,x) * R(x,y,x)) = K(T(y,x),R(x,y,x)).
K(T(x,y),R(y,x,y)) = T(y * x,y) \ (T(x,y) * R(y,x,y)).
R(x,y,x) \ T(x * y,x) = T(y,x).
R(x,y,x) * T(y,x) = T(x * y,x).
R(x,y,x) * (x \ (y * x)) = T(x * y,x).
T(x * y,x) = R(x,y,x) * (x \ (y * x)).
R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u).
(x * (y * (x * z))) / (x * (z * T(y,x * z))) = R(x,z,T(y,x * z)).
(x * y) / (x * ((x \ 1) * y)) = R(x,x \ 1,y).
((1 / x) * y) / ((1 / x) * (x * y)) = R(1 / x,x,y).
R(x \ 1,x,y) \ ((y / (x * y)) \ R(y / (x * y),x,x \ 1)) = (y / (x * y)) \ 1.
((x \ R(x,y,z)) * u) / ((x \ 1) * u) = R(R(x,y,z),x \ 1,u).
R(R(x,y,z),x \ 1,u) = ((x \ R(x,y,z)) * u) / ((x \ 1) * u).
R(x,y,z) \ (x \ R(x,y,z)) = x \ 1.
(x \ R(x,y,z)) / (x \ 1) = R(x,y,z).
R(x,x \ y,(x \ y) \ 1) * (x \ z) = x \ ((y * ((x \ y) \ 1)) * z).
x \ ((y * ((x \ y) \ 1)) * z) = R(x,x \ y,(x \ y) \ 1) * (x \ z).
R(x / y,y,y \ 1) * ((x / y) \ z) = (x / y) \ ((x * (y \ 1)) * z).
(x / y) \ ((x * (y \ 1)) * z) = R(x / y,y,y \ 1) * ((x / y) \ z).
x \ ((y / ((x \ 1) * y)) * z) = R(x,x \ 1,y) * (x \ z).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)).
R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u.
x \ y = R(x,z,u) * (x \ (R(x,z,u) \ y)).
R(x,y,z) * (x \ 1) = x \ R(x,y,z).
x \ R(x,y,z) = R(x,y,z) * (x \ 1).
((R(x,y,z) \ 1) * x) \ (R(x,y,z) \ x) = K(x,R(x,y,z) \ 1).
K(x,R(x,y,z) \ 1) = ((R(x,y,z) \ 1) * x) \ (R(x,y,z) \ x).
x \ (R(x,y,z) \ x) = R(x,y,z) \ 1.
(x * y) / R(T(x,x * (R(x,z,u) \ y)),z,u) = R(x,z,u) \ (x * y).
x * (R(x,y,y \ 1) \ z) = a(x,y,y \ 1) \ z.
(x / y) * (R(x / y,y,y \ 1) \ z) = (x * (y \ 1)) \ ((x / y) * z).
(x * (y \ 1)) \ ((x / y) * z) = (x / y) * (R(x / y,y,y \ 1) \ z).
R(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (R(x \ 1,y,z) \ x).
x * (R(x,y,z) \ T(u,x)) = R(x,y,z) \ (u * x).
R(x,y,z) \ (u * x) = x * (R(x,y,z) \ T(u,x)).
(x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u).
x * (R(x,y,z) \ 1) = R(x,y,z) \ x.
R(x,y,z) \ x = x * (R(x,y,z) \ 1).
(R(x,y,z) * u) / T(x,R(x,y,z) * (x \ u)) = R(x,y,z) * (x \ u).
R(x,y,y \ 1) * (x \ z) = a(x,y,y \ 1) * z.
x * y != R(x,z,z \ 1) * u | y = a(x,z,z \ 1) * u.
x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u).
R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u).
(x * (R(x,y,z) * u)) \ ((R(x,y,z) * u) * T(x,u)) = a(R(x,y,z),u,T(x,u)).
(R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)).
x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x).
R(x,y,z) * (u * x) = x * (R(x,y,z) * T(u,x)).
x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u.
R(x,y,z) * u = x * (R(x,y,z) * (x \ u)).
R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u.
a(x,y,y \ 1) * (x * z) = R(x,y,y \ 1) * z.
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
x * (R(x,y,z) * u) = R(x,y,z) * (x * u).
x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y).
(x / (y * z)) \ (x * T(x \ (x / (y * z)),u)) = y * (z * T(z \ (y \ 1),u)).
(x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y.
(R(1 / x,y,z) * x) * u = (x * u) * R((x * u) \ u,y,z).
(x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y).
(1 / (x / y)) * ((y / x) * (x / y)) = R(1 / (x / y),x / y,y).
(1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y).
(1 / x) * ((y / (x * y)) * x) = R(T(1 / x,1),x,y).
T(x * a(y,z,u),L(T(w,a(y,z,u)),a(y,z,u),x)) = T(w,a(y,z,u)) \ (x * (w * a(y,z,u))).
T(x,a(y,z,u)) \ (w * (x * a(y,z,u))) = T(w * a(y,z,u),L(T(x,a(y,z,u)),a(y,z,u),w)).
R(1 / (1 / (1 / x)),x,x \ y) = (K(x,x \ 1) * (x \ y)) / y.
(K(x,x \ 1) * (x \ y)) / y = R(1 / (1 / (1 / x)),x,x \ y).
K(x,x \ 1) / x = 1 / (1 / (1 / x)).
(1 / (1 / (1 / x))) * x = K(x,x \ 1).
(1 / (x / (x / y))) * y = y / (x / (x / y)).
x / (y / (y / x)) = (1 / (y / (y / x))) * x.
(x / ((y * x) / y)) / x = 1 / ((y * x) / y).
(1 / ((x * y) / x)) * y = y / ((x * y) / x).
x / ((y * x) / y) = (1 / ((y * x) / y)) * x.
((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y.
(1 / (x / (x / y))) * y = ((x / y) \ x) / (x / (x / y)).
(x \ (x * y)) / ((x * y) / x) = (1 / ((x * y) / x)) * y.
(1 / ((x * y) / x)) * y = (x \ (x * y)) / ((x * y) / x).
(1 / (x / y)) * (y \ x) = (y \ x) / (x / y).
(x \ y) / (y / x) = (1 / (y / x)) * (x \ y).
(1 / (1 / x)) * (T(x,y) / x) = T(1 / (1 / x),y).
R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (T(y / z,x) * z) / y.
K(x \ (x / (y \ 1)),x) = T(T(y,y \ 1),x) / T(y,y \ 1).
L(x,1 / x,y) * (y * (1 / x)) = y * (T(x,y * (1 / x)) / x).
x * (T(y,x * (1 / y)) / y) = L(y,1 / y,x) * (x * (1 / y)).
T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x).
(1 / (x / y)) * (y \ x) = T(x / y,y) / (x / y).
(1 / x) \ (T(x,y) / x) = T(x,y).
(T(x,y) / x) / T(x,y) = 1 / x.
K(x \ (x / (1 / y)),x) = T(y,x) / y.
(1 / x) * T(x,y) = T(x,y) / x.
(1 / x) * T((1 / x) \ 1,y) = T(x,y) / x.
T(x,y) / x = (1 / x) * T((1 / x) \ 1,y).
T(1 / (1 / x),y) * (1 / x) = T(x,y) / x.
T(1 / (1 / x),y) * (1 / x) = T(x / 1,y) / x.
T(x / 1,y) / x = T(1 / (1 / x),y) * (1 / x).
L(T(x,x \ 1),x \ 1,y * x) = a(y,x,x \ 1) \ x.
L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x.
a(x,x \ 1,x) = K(x,x \ 1).
L(K(x,x \ 1),K(x \ 1,x),x) = a(x,x \ 1,x).
L(K(x,x \ 1),K(x \ 1,x),x) = L(x,x \ 1,x) \ x.
((x * y) * (K(z,z \ 1) * u)) / ((y * K(z,z \ 1)) * u) = R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u).
((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,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)).
L(L(a(x,y,y \ 1),x,z),z * x,u) = (u * (z * x)) \ (u * (z * R(x,y,y \ 1))).
(x * (y * z)) \ (x * (y * R(z,u,u \ 1))) = L(L(a(z,u,u \ 1),z,y),y * z,x).
K(a(x,y,z) \ 1,a(x,y,z) * u) = a(x,y,z) * ((a(x,y,z) * u) \ u).
a(x,y,z) * ((a(x,y,z) * u) \ u) = K(a(x,y,z) \ 1,a(x,y,z) * u).
(x / K(a(y,z,u) \ 1,w)) * a(y,z,u) = x / T(a(y,z,u) \ 1,w).
a(x,y,z) * (u \ (a(x,y,z) \ u)) = K(a(x,y,z) \ 1,u).
K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)).
((x * a(y,z,u)) / x) * (a(y,z,u) \ w) = (T(x,a(y,z,u)) / x) * w.
(T(x,a(y,z,u)) / x) * w = ((x * a(y,z,u)) / x) * (a(y,z,u) \ w).
(x * a(y,z,u)) / (a(y,z,u) * x) = T(x,a(y,z,u)) / x.
T(x,a(y,z,u)) / x = (x * a(y,z,u)) / (a(y,z,u) * x).
T(x,y) \ T(T(x,T(x,y) * (T(x,y) \ 1)),z) = (T(x,y) \ 1) * T(T(x,T(x,y) \ 1),z).
T(x,y) \ L(T(x,T(x,y) * (T(x,y) \ 1)),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u).
T(x,T(x,y) * a(z,u,w)) = T(x,a(z,u,w)).
L(T(T(x,y),z),y,T(x,u)) = T(T(x,T(x,u) * y),z).
L(T(x,y),y,T(x,z)) = T(x,T(x,z) * y).
T(x,T(x,y) * z) = L(T(x,z),z,T(x,y)).
(x * ((y \ x) \ 1)) / y = y \ (x * ((y \ x) \ 1)).
(x \ (y * ((x \ y) \ 1))) * x = y * ((x \ y) \ 1).
L(x,y,R((y * z) / y,y,x)) = (y * R(z,y,x)) \ ((y * z) * x).
(x * R(y,x,z)) \ ((x * y) * z) = L(z,x,R((x * y) / x,x,z)).
T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x).
x \ (((y \ 1) \ 1) \ x) = T(x \ (y \ x),y).
R(T(x \ 1,y),x,x \ y) = y \ (((x \ 1) \ 1) \ y).
x \ (((y \ 1) \ 1) \ x) = R(T(y \ 1,x),y,y \ x).
(x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)).
((x * (y / (z * (z \ 1)))) / x) / (z \ 1) = ((x * ((y / (z \ 1)) / z)) / x) * z.
(((x * ((y / z) / u)) / x) * u) * z = ((x * (y / (u * z))) / x) * (u * z).
((x * (y / (z * u))) / x) * (z * u) = (((x * ((y / u) / z)) / x) * z) * u.
(x / (y * a(z,u,w))) * (a(z,u,w) * v5) = (x / T(y,a(z,u,w))) * v5.
(x / T(y,a(z,u,w))) * v5 = (x / (y * a(z,u,w))) * (a(z,u,w) * v5).
((x * y) * z) \ ((x * y) * R(z,x,y)) = a(((x * y) * z) / (x * y),x,y).
L(T(x \ y,z),z,y / x) = T(x \ y,(y / x) * z).
x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w).
x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)).
(x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w).
x * L(x \ ((x / y) * z),u,w) = (x / y) * (y * L(y \ z,u,w)).
T(x * (y * T(y,z)),(x * T(y,z)) * y) = T(x * (T(y,z) * y),a(x,T(y,z),y)).
T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1).
(x * T(y,z)) * (x \ 1) = T((x * y) * (x \ 1),z).
(T(x,y) / (y \ 1)) / y = y \ (x / (y \ 1)).
(x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1).
T(x,y) / (y \ 1) = (y \ (x / (y \ 1))) * y.
T(x * ((y \ 1) \ 1),z) / T(y,y \ 1) = (y \ 1) * T((y \ 1) \ x,z).
x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1).
T(x,y) / (z \ 1) = z * T(z \ (x / (z \ 1)),y).
T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z).
T(x,a(y,z,u)) \ R(x,a(y,z,u),a(y,z,u) \ 1) = K(x * a(y,z,u),a(y,z,u) \ 1).
(1 / x) * K(y \ (y / x),y) = T(1 / x,y).
T(1 / x,y) = (1 / x) * K(y \ (y / x),y).
L(K(x \ (x / (T(y,z) \ 1)),x),T(y,z),z) = (y * z) \ (z * T(T(y,z),x)).
T(x,y) = x * K(y \ (y / (x \ 1)),y).
x * K(y \ (y / (x \ 1)),y) = T(x,y).
K(x \ (x / y),x) = (z / y) \ (z * T(z \ (z / y),x)).
(x / y) \ (x * T(x \ (x / y),z)) = K(z \ (z / y),z).
K(x \ (x / (y \ 1)),x) = y \ T(y,x).
a(x,y,z) * T(a(x,y,z) \ 1,u) = K(a(x,y,z) \ 1,u).
K(a(x,y,z) \ 1,u) = a(x,y,z) * T(a(x,y,z) \ 1,u).
x \ K(y \ (y / x),y) = T(x \ 1,y).
K(x \ (x / y),x) = y * T(y \ 1,x).
T(x * K(y,y \ 1),K(y \ 1,y) * z) = (K(y \ 1,y) * z) \ (x * z).
(K(x \ 1,x) * y) \ (z * y) = T(z * K(x,x \ 1),K(x \ 1,x) * y).
(x / T(y,K(z \ 1,z))) * K(z,z \ 1) = x / (y * K(z \ 1,z)).
T(x,K(y \ 1,y)) != K(y,y \ 1) * z | x * K(y \ 1,y) = z.
(1 / x) * ((1 / (1 / x)) * y) = (x \ 1) * (x * y).
K(x \ 1,x) * (y * x) = (1 / (1 / x)) * T(y,x).
(1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y.
K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y).
K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y.
K(x,x \ 1) * y != x * z | (1 / (1 / x)) * z = y.
K(x,x \ 1) * y != x * z | y = (1 / (1 / x)) * z.
K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y.
(x * y) / ((1 / (1 / x)) * y) = K(x,x \ 1).
K(x,x \ 1) = (x * y) / ((1 / (1 / x)) * y).
(x * y) / ((1 / (1 / x)) * y) = x * (1 / x).
R(x \ 1,(x \ 1) \ 1,x \ y) = (x \ y) / (K(x,x \ 1) * y).
((x * (1 / y)) * (K(y \ 1,y) * z)) / ((y \ 1) * z) = R(x,1 / y,K(y \ 1,y) * z).
R(x,1 / y,K(y \ 1,y) * z) = ((x * (1 / y)) * (K(y \ 1,y) * z)) / ((y \ 1) * z).
K(x,x \ 1) * L(y,x \ 1,x) = ((x \ 1) \ 1) * ((x \ 1) * y).
K(x,x \ 1) * (y * x) = ((x \ 1) \ 1) * T(y,x).
((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y.
K(x,x \ 1) * y = ((x \ 1) \ 1) * (x \ y).
(1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y.
K(x \ 1,x) * y != x * z | ((x \ 1) \ 1) * z = y.
x * y != K(x \ 1,x) * z | ((x \ 1) \ 1) * y = z.
K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y.
((x \ 1) * y) / (K(x \ 1,x) * y) = 1 / x.
K(x \ 1,x) * T((1 / x) * y,z) = (x \ 1) * (x * T(x \ y,z)).
(x \ 1) * (x * T(x \ y,z)) = K(x \ 1,x) * T((1 / x) * y,z).
(x / (y * z)) * K(y \ 1,y) = x / (T(y,y \ 1) * z).
K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y.
K(x,x \ 1) * (x * y) = T(x,x \ 1) * y.
L((x * (y \ z)) / x,y,y \ 1) = (x * ((1 / y) * z)) / x.
L((1 / x) \ y,1 / x,x) = (1 / (1 / x)) * y.
L(R(x \ y,z,u),x,x \ 1) = R((1 / x) * y,z,u).
x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x.
L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z).
L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y).
L(x,y \ 1,y) = L(x,y \ 1,(y \ 1) \ 1).
L(x,y,y \ 1) \ (1 * x) = a(1 / y,y,x).
L(x,y,1 / y) = L(x,y,y \ 1).
L(x,y,y \ 1) = L(x,y,1 / y).
L(a(x,y,z) \ 1,u,u \ 1) = (1 / u) * (u / a(x,y,z)).
(1 / x) * (x / a(y,z,u)) = L(a(y,z,u) \ 1,x,x \ 1).
L((x * y) \ 1,x * y,1 / x) = L(y,x,x \ 1) \ (1 / x).
L(T(x,y),y,y \ 1) = (1 / y) * (x * y).
(1 / x) * (y * x) = L(T(y,x),x,x \ 1).
L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y.
(1 / (x / y)) * x = L(y,x / y,(x / y) \ 1).
L(x \ y,x,x \ 1) = (1 / x) * y.
(1 / x) * y = L(x \ y,x,x \ 1).
(1 / x) \ L(y,x,x \ 1) = x * y.
L(x,y,y \ 1) / (y * x) = 1 / y.
R(x \ 1,x,(1 / x) * y) \ ((x \ 1) * y) = x * ((1 / x) * y).
((x \ 1) * y) / (x * ((1 / x) * y)) = R(x \ 1,x,(1 / x) * y).
(x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y.
K(x \ 1,x) * y = (x \ 1) * ((1 / x) \ y).
(1 / x) * (x * y) = L(y,x,x \ 1).
K(x \ 1,x) * y != (x \ 1) * (x * z) | y = L(z,x,x \ 1).
K(x \ 1,x) * (T(x,x \ 1) * y) = x * y.
((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y).
x * ((1 / x) * y) = ((x \ 1) \ 1) * ((x \ 1) * y).
(x \ 1) \ (K(x \ 1,x) * ((y * ((1 / x) * y)) / y)) = T(y,(1 / x) * y).
K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y.
K(x \ 1,x) * z != (x \ 1) * y | z = (1 / x) * y.
(x \ 1) * y != K(x \ 1,x) * z | z = (1 / x) * y.
(x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y.
K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y.
(x \ 1) * y = K(x \ 1,x) * ((1 / x) * y).
R(x / ((y \ 1) \ 1),(y \ 1) \ 1,K(y \ 1,y)) = (x * K(y \ 1,y)) / y.
((x \ 1) \ 1) \ x = K(x \ 1,x).
((x \ 1) \ 1) * K(x \ 1,x) = x.
x = ((x \ 1) \ 1) * K(x \ 1,x).
x * y != z * (K(u \ 1,u) * y) | x = z * K(u \ 1,u).
T(x,x \ 1) \ (x * y) = K(x \ 1,x) * y.
L(T(x \ 1,(x \ 1) \ y),(x \ 1) \ y,1 / x) = (K(x,x \ 1) * y) \ ((1 / x) * y).
K(x,x \ 1) * (y * (x \ 1)) = (1 / x) * T(y,x \ 1).
(1 / x) * T(y,x \ 1) = K(x,x \ 1) * (y * (x \ 1)).
K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y.
(1 / x) * y = K(x,x \ 1) * ((x \ 1) * y).
(x \ 1) \ (K(x \ 1,x) * ((1 / x) * y)) = y.
x * y != K(z,z \ 1) * (K(z \ 1,z) * (x * u)) | y = u.
K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y.
((x \ 1) \ 1) * ((y * K(x,x \ 1)) \ z) = x * (y \ z).
x * (y \ z) = ((x \ 1) \ 1) * ((y * K(x,x \ 1)) \ z).
((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y.
x * y = ((x \ 1) \ 1) * (K(x \ 1,x) * y).
(x * T(y,y \ 1)) / y = x * K(y,y \ 1).
T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)).
x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y).
(1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y.
K(x,x \ 1) * y = (1 / x) * ((x \ 1) \ y).
R(x,(y \ 1) \ 1,y \ 1) * K(y,y \ 1) = (x * ((y \ 1) \ 1)) * (y \ 1).
K((x \ 1) \ 1,x \ 1) = K(x,x \ 1).
x \ T(x,x \ 1) = K(x,x \ 1).
K(x \ 1,x) \ x = T(x,x \ 1).
K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y.
x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y.
((x \ 1) \ 1) * y = x * (K(x,x \ 1) * y).
x \ ((x \ 1) \ 1) = K(x,x \ 1).
K(x \ 1,x) * T(x,x \ 1) = x.
x * K(x,x \ 1) = (x \ 1) \ 1.
L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x).
(x * ((y \ 1) \ 1)) / y = x * K(y,y \ 1).
(x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1).
x / ((y \ 1) \ 1) = (x / y) * K(y \ 1,y).
R(x,1 / x,x) = (x \ 1) \ 1.
(x \ 1) \ 1 = R(x,1 / x,x).
((x \ 1) \ 1) / x = K(x,x \ 1).
K(x \ 1,x) * ((x \ 1) \ 1) = x.
(x / ((y \ 1) \ z)) * K(y,y \ 1) = x / ((1 / y) \ z).
K(x,x \ 1) * x = (x \ 1) \ 1.
(x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y.
K(x,x \ 1) * y = (x \ 1) \ ((1 / x) * y).
K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y.
K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y.
(x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z).
T(x,1 / x) = (x \ 1) \ 1.
T(x,1 / x) = T(x,x \ 1).
T(x,x \ 1) = T(x,1 / x).
((x / (1 / y)) * K(y,y \ 1)) \ (x * T(y,y \ 1)) = a(x / (1 / y),1 / y,T(y,y \ 1)).
(1 / x) \ K(x,x \ 1) = T(x,x \ 1).
(1 / x) * T(x,x \ 1) = K(x,x \ 1).
(1 / x) * ((x \ 1) \ 1) = K(x,x \ 1).
R(x / (y \ 1),y \ 1,K(y,y \ 1)) = (x * K(y,y \ 1)) / (1 / y).
(x \ 1) \ (1 / x) = K(x,x \ 1).
(x \ 1) * K(x,x \ 1) = 1 / x.
(x / (1 / y)) * K(y,y \ 1) = x / (y \ 1).
x / (y \ 1) = (x / (1 / y)) * K(y,y \ 1).
(x * (1 / y)) / (y \ 1) = x * K(y,y \ 1).
x \ (y * (K(z,z \ 1) * x)) = T(y * K(z,z \ 1),x).
T(x * K(y,y \ 1),z) = z \ (x * (K(y,y \ 1) * z)).
(x * (y * (K(z,z \ 1) * u))) \ ((x * (y * K(z,z \ 1))) * u) = a(x,y * K(z,z \ 1),u).
a(x,y * K(z,z \ 1),u) = (x * (y * (K(z,z \ 1) * u))) \ ((x * (y * K(z,z \ 1))) * u).
K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y.
(1 / (1 / x)) \ y = K(x,x \ 1) * (x \ y).
K(x,x \ 1) * (R(y,x \ 1,x) \ z) = ((y * (x \ 1)) * x) \ z.
((x * (y \ 1)) * y) \ z = K(y,y \ 1) * (R(x,y \ 1,y) \ z).
K(x,x \ 1) * (y \ (z * (y * K(x \ 1,x)))) = T(z,y * K(x \ 1,x)).
T(x,y * K(z \ 1,z)) = K(z,z \ 1) * (y \ (x * (y * K(z \ 1,z)))).
L(x \ 1,x,x \ 1) = 1 / x.
K(x \ 1,(x \ 1) \ 1) = K(x,x \ 1) \ 1.
K(x,x \ 1) \ 1 = K(x \ 1,(x \ 1) \ 1).
((x * (1 / (1 / y))) * (K(y,y \ 1) * z)) / (y * z) = R(x,1 / (1 / y),K(y,y \ 1) * z).
R(x,1 / (1 / y),K(y,y \ 1) * z) = ((x * (1 / (1 / y))) * (K(y,y \ 1) * z)) / (y * z).
K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x) * 1.
K(x \ 1,x) * 1 = K(x \ 1,(x \ 1) \ 1).
K(x,1 / x) * 1 = K(x,x \ 1).
R(x / K(y,y \ 1),z,u) * K(y,y \ 1) = K(y,y \ 1) * R(K(y \ 1,y) * x,z,u).
K(x,x \ 1) * y != z | K(x \ 1,x) * z = y.
x != K(y,y \ 1) * z | K(y \ 1,y) * x = z.
K(x \ 1,x) \ y = K(x,1 / x) * y.
K(x,x \ 1) * (x \ 1) = L(x \ 1,x,x \ 1).
(1 / x) / (x \ 1) = K(x,x \ 1).
K(x * a(y,z,u),(x * a(y,z,u)) \ 1) = x * (a(y,z,u) * (1 / (x * a(y,z,u)))).
K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y.
K((1 / x) \ 1,1 / x) = K(x,x \ 1).
K(x,x \ 1) * ((y * K(x,x \ 1)) \ z) = y \ z.
x \ y = K(z,z \ 1) * ((x * K(z,z \ 1)) \ y).
(x / (K(y,y \ 1) * z)) * K(y,y \ 1) = x / z.
x / y = (x / (K(z,z \ 1) * y)) * K(z,z \ 1).
(x * (y * K(z,z \ 1))) / T(y,K(z,z \ 1)) = x * K(z,z \ 1).
(x * K(y,y \ 1)) \ z = K(y,y \ 1) \ (x \ z).
K(x,x \ 1) \ (y \ z) = (y * K(x,x \ 1)) \ z.
(x * (K(y,y \ 1) * z)) / z = x * K(y,y \ 1).
(x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z).
a(x,K(1 / y,y),z) = 1.
R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y).
(1 / (1 / x)) \ x = K(x,x \ 1).
x * K(x,x \ 1) = R(x,1 / x,x).
R(x,K(y,y \ 1),z) = x.
L(x,K(y,y \ 1),z) = x.
a(x,K(y,y \ 1),z) = 1.
K(x,x \ 1) * x = R(x,1 / x,x).
(1 / x) \ K(x,x \ 1) = T(x,1 / x).
x \ K(x,x \ 1) = 1 / x.
K(x,x \ 1) = x * (1 / x).
K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x).
K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1).
x / (1 / (1 / x)) = K(x,x \ 1).
K(x,1 / x) = K(x,x \ 1).
(1 / (1 / x)) * (K(x,x \ 1) * y) = x * y.
x * y = (1 / (1 / x)) * (K(x,x \ 1) * y).
x / (K(y,y \ 1) * z) = (x / z) * K(y \ 1,y).
(x / y) * K(z \ 1,z) = x / (K(z,z \ 1) * y).
K(x \ 1,x) * (y * K(x,x \ 1)) = T(y,K(x,x \ 1)).
K(x \ 1,x) * y != z | K(x,x \ 1) * z = y.
x != K(y \ 1,y) * z | K(y,y \ 1) * x = z.
K(x,x \ 1) \ y = K(x \ 1,x) * y.
K(x \ 1,x) * y = K(x,x \ 1) \ y.
(x * K(y \ 1,y)) \ z = K(y,y \ 1) * (x \ z).
K(x,x \ 1) * (y \ z) = (y * K(x \ 1,x)) \ z.
K(x \ 1,x) * y != z \ u | y = (z * K(x \ 1,x)) \ u.
K(x,x \ 1) * (K(x \ 1,x) * y) = y.
K(x \ 1,x) \ y = K(x,x \ 1) * y.
K(x,x \ 1) * (y * K(x \ 1,x)) = T(y,K(x \ 1,x)).
T(x,K(y \ 1,y)) = K(y,y \ 1) * (x * K(y \ 1,y)).
K(x,x \ 1) * (x \ 1) = 1 / x.
1 / x = K(x,x \ 1) * (x \ 1).
K(x,x \ 1) * (1 / (1 / x)) = x.
K(x \ 1,x) * (K(x,x \ 1) * y) = y.
1 / K(x \ 1,x) = K(x,x \ 1).
K(x,x \ 1) * K(x \ 1,x) = 1.
x / K(y,y \ 1) = x * K(y \ 1,y).
K((x * y) \ x,x * y) = y * T(y \ 1,x * y).
(((x * y) * T(z,y)) * K(y,z)) / (y * z) = R(R(x,y,T(z,y)),z * y,K(y,z)).
(((x * y) * z) * K(z,y)) / (z * y) = R(R(x,y,z),y * z,K(z,y)).
(1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y).
x * ((y / z) \ (y * T(y \ (y / z),x * z))) = L(z \ 1,z,x) * (x * z).
R(x / y,y,T(y \ 1,x)) \ ((y \ 1) * x) = (z / y) \ (z * T(z \ (z / y),x)).
((x / y) \ (x * T(x \ (x / y),z))) / y = T(1 / y,z).
x \ (y * T(y \ (y / (x \ y)),z)) = (x \ y) * T((x \ y) \ 1,z).
(a(x,y,z) \ (u / (u / a(x,y,z)))) * w = (u / (u / a(x,y,z))) * (a(x,y,z) \ w).
(x / (x / y)) * (y \ 1) = y \ (x / (x / y)).
x \ (y / (y / x)) = (y / (y / x)) * (x \ 1).
(x \ ((y * x) / y)) / (1 / x) = ((y * x) / y) * K(x \ 1,x).
((x * y) / x) * K(y \ 1,y) = (y \ ((x * y) / x)) / (1 / y).
R(x / ((y * z) / y),(y * z) / y,z \ 1) = (x * (z \ 1)) / (z \ ((y * z) / y)).
(1 / x) \ ((y * (1 / x)) / y) = ((y * (1 / x)) / y) * x.
((x * (1 / y)) / x) * y = (1 / y) \ ((x * (1 / y)) / x).
(x \ 1) \ (x \ ((y * x) / y)) = T((y * x) / y,x \ 1).
T((x * y) / x,y \ 1) = (y \ 1) \ (y \ ((x * y) / x)).
((x \ 1) * ((y * x) / y)) \ (x \ ((y * x) / y)) = K((y * x) / y,x \ 1).
K((x * y) / x,y \ 1) = ((y \ 1) * ((x * y) / x)) \ (y \ ((x * y) / x)).
(x \ ((y * x) / y)) \ ((x \ 1) * ((y * x) / y)) = K(x \ 1,(y * x) / y).
K(x \ 1,(y * x) / y) = (x \ ((y * x) / y)) \ ((x \ 1) * ((y * x) / y)).
((x * y) / x) \ (y \ ((x * y) / x)) = y \ 1.
(x \ ((y * x) / y)) / (x \ 1) = (y * x) / y.
((x * y) / x) * (y \ 1) = y \ ((x * y) / x).
x \ ((y * x) / y) = ((y * x) / y) * (x \ 1).
x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1.
x * (((y * x) / y) \ 1) = ((y * x) / y) \ x.
((x * y) / x) \ y = y * (((x * y) / x) \ 1).
(x * y) * T((x \ (x * y)) \ (x * y),z) = T(y \ T(x * y,x),z) * (x * y).
T(x \ T(y * x,y),z) * (y * x) = (y * x) * T((y \ (y * x)) \ (y * x),z).
(x \ ((y * (x * y)) / y)) * ((((y * (x * y)) / y) / x) \ z) = (((y * (x * y)) / y) / x) \ (T(y,x * y) * z).
(((x * (y * x)) / x) / y) \ (T(x,y * x) * z) = (y \ ((x * (y * x)) / x)) * ((((x * (y * x)) / x) / y) \ z).
((x \ y) \ y) * ((y / (x \ y)) \ z) = x \ (((x \ y) \ y) * z).
x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * ((y / (x \ y)) \ z).
((x \ y) * z) / ((x \ y) * ((y / x) \ z)) = y / x.
(x \ (x * y)) * (((x * y) / x) \ z) = ((x * y) / x) \ (y * z).
((x * y) / x) \ (y * z) = (x \ (x * y)) * (((x * y) / x) \ z).
(x / y) \ ((y \ x) * z) = (y \ x) * ((x / y) \ z).
(x \ y) * ((y / x) \ z) = (y / x) \ ((x \ y) * z).
(((x * (y * x)) / x) / y) * ((y \ ((x * (y * x)) / x)) \ z) = T(x,y * x) \ ((((x * (y * x)) / x) / y) * z).
T(x,y * x) \ ((((x * (y * x)) / x) / y) * z) = (((x * (y * x)) / x) / y) * ((y \ ((x * (y * x)) / x)) \ z).
(x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z.
((x * y) / x) * ((x \ (x * y)) \ z) = y \ (((x * y) / x) * z).
x \ (((y * x) / y) * z) = ((y * x) / y) * ((y \ (y * x)) \ z).
(x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z).
(x / y) * ((y \ x) \ z) = (y \ x) \ ((x / y) * z).
((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1).
x \ T(y,x \ 1) = ((x \ 1) \ (x \ y)) * (x \ 1).
x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1).
x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
(x * R(1 / y,z,u)) / L(y * R(y \ 1,z,u),1 / y,x) = x * (1 / y).
(1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z).
(1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z).
R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z).
R(x \ 1,y,z) / (x \ 1) = R(1 / x,y,z) * x.
K(x \ 1,x) / (x \ 1) = 1 / (1 / x).
K(x \ 1,x) / (x \ 1) = L(x,x \ 1,x).
R(K(x \ 1,x),x,x \ 1) = K(x \ 1,x).
K(x \ 1,x) = R(K(x \ 1,x),x,x \ 1).
R(K(x \ 1,x),x,x \ 1) = (x \ 1) * x.
R(K(x \ 1,x),x,x \ 1) = (x \ 1) * T(x,1).
L(x,y / (a(z,u,w) * y),v5) = x.
a(x,a(y,z,u) \ 1,w) = 1.
L(x,a(y,z,u) \ 1,w) = x.
R(x,a(y,z,u) \ 1,w) = x.
(x * (y * z)) * T((x * (y * z)) \ ((x * (y * z)) / L(z,y,x)),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)).
(x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = (x * (y * z)) * T((x * (y * z)) \ ((x * (y * z)) / L(z,y,x)),u).
(x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z).
L(R(x,y,T(x,y)),y,x) = x.
(x * R(y,x,y)) \ (x * (T(x * y,y) / T(x,y))) = K(x,T(x * y,y) / T(x,y)).
K(x,T(x * y,y) / T(x,y)) = (x * R(y,x,y)) \ (x * (T(x * y,y) / T(x,y))).
(T(x * y,y) / T(x,y)) * x = x * R(y,x,y).
T(x * L(T(y,x),z,u),L(T(y,x),z,u)) / T(x,L(T(y,x),z,u)) = ((L(y,z,u) * x) * L(T(y,x),z,u)) / (x * L(T(y,x),z,u)).
T(T(x,y * x) * y,x) = T(x,y) * T(y,x).
T(x,y) * (x \ T(x,z)) = T(x,z) * (x \ T(x,y)).
T(x \ y,z) * ((y / x) * ((x \ y) \ 1)) = (x \ y) \ (T(x \ y,z) * (y / x)).
(x \ y) \ (T(x \ y,z) * (y / x)) = T(x \ y,z) * ((y / x) * ((x \ y) \ 1)).
((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1).
(x / (x / y)) * (y \ 1) = ((x / y) \ x) \ (x / (x / y)).
((x \ y) \ (y / x)) \ ((y / x) * (((x \ y) \ 1) * z)) = L(z,(x \ y) \ 1,y / x).
L(x,(y \ z) \ 1,z / y) = ((y \ z) \ (z / y)) \ ((z / y) * (((y \ z) \ 1) * x)).
(((x \ y) \ 1) * (y / x)) \ ((x \ y) \ (y / x)) = K(y / x,(x \ y) \ 1).
K(x / y,(y \ x) \ 1) = (((y \ x) \ 1) * (x / y)) \ ((y \ x) \ (x / y)).
((x \ y) \ (y / x)) \ (((x \ y) \ 1) * (y / x)) = K((x \ y) \ 1,y / x).
K((x \ y) \ 1,y / x) = ((x \ y) \ (y / x)) \ (((x \ y) \ 1) * (y / x)).
(x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1).
((x * y) / x) * (y \ 1) = (x \ (x * y)) \ ((x * y) / x).
(x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y).
(x \ y) \ (y / x) = (y / x) * ((x \ y) \ 1).
K(x \ 1,x) * y != 1 / (1 / x) | y = x.
L(L(x,L(x,y,z) \ 1,L(x,y,z)),y,z) = 1 / (1 / L(x,y,z)).
1 / (1 / L(x,y,z)) = L(L(x,L(x,y,z) \ 1,L(x,y,z)),y,z).
L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z).
R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x).
K(x \ 1,x) * x = 1 / (1 / x).
x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y.
(1 / (1 / x)) * y = x * (K(x \ 1,x) * y).
L(x,x \ 1,x) = 1 / (1 / x).
1 / (1 / x) = L(x,x \ 1,x).
L(K(x \ 1,x),x,y) = (y * x) \ (y * (1 / (1 / x))).
x \ (1 / (1 / x)) = K(x \ 1,x).
x * K(x \ 1,x) = 1 / (1 / x).
(x / (y \ 1)) * K(y \ 1,y) = x / (1 / y).
K(x \ 1,x) * y != x \ 1 | 1 / x = y.
K(x \ 1,x) * y != x \ 1 | y = 1 / x.
K(x \ 1,x) * (1 / x) = x \ 1.
(x \ 1) / (1 / x) = K(x \ 1,x).
(1 / x) \ (x \ 1) = K(x \ 1,x).
K(x \ 1,x) = (1 / x) \ (x \ 1).
(1 / x) \ (x \ 1) = (x \ 1) * x.
(x \ 1) * x = (1 / x) \ (x \ 1).
((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1).
x * (((y * x) / y) \ 1) = ((y * x) / y) \ (y \ (y * x)).
(x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y).
(x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1).
R(x,y,T(x,y)) \ T(x * y,x) = T(y,R(x,y,T(x,y))).
T(x,R(y,x,T(y,x))) = R(y,x,T(y,x)) \ T(y * x,y).
L(R(x,y,T(x,y)),y,x) = (x * y) \ ((x * y) * x).
T(x * y,x) / R(x,y,T(x,y)) = y.
R(x,x \ y,T(x,x \ y)) = (x \ y) \ T(y,x).
(x \ y) \ T(y,x) = R(x,x \ y,T(x,x \ y)).
x * R(y,x,T(y,x)) = T(y * x,y).
x \ T(y * x,y) = R(y,x,T(y,x)).
R(x,y,T(x,y)) = y \ T(x * y,x).
(x * y) \ (T(x * y,x) * (y \ (x * y))) = R(x,y,y \ (x * y)).
R(x,y,y \ (x * y)) = (x * y) \ (T(x * y,x) * (y \ (x * y))).
T(T(x * y,x) / y,y) = R(x,y,T(x,y)).
T(T(x * y,x) / y,x * y) = x.
T(R((x * y) / x,x,y),y \ (x * y)) = (y \ (x * y)) \ T(x * y,y).
x * ((y * (x \ y)) / y) = T(y,y / x).
x \ T(y,y / x) = (y * (x \ y)) / y.
(x * (y \ x)) / x = y \ T(x,x / y).
T((x \ y) \ T(y,x),z) * y = y * T((x \ y) \ y,z).
x * T((y \ x) \ x,z) = T((y \ x) \ T(x,y),z) * x.
(x \ T(y,y / x)) * y = y * (x \ y).
x * (y \ x) = (y \ T(x,x / y)) * x.
T((x \ y) \ T(y,x),y) = (x \ y) \ y.
T(x \ T(y,y / x),y) = x \ y.
T(x \ T(y,y / x),y) = T(y / x,x).
T(x / y,y) = T(y \ T(x,x / y),x).
T(T(x,x / y) / y,x) = x / y.
T(x,x / y) / y = (x * (x / y)) / x.
T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y).
((x * y) * x) / (x * y) = T(x * y,x) / y.
T(x * y,x) / y = ((x * y) * x) / (x * y).
T(T((x * y) / x,((x * y) / x) * (y \ x)) * (y \ x),T((x * y) / x,y \ x)) = T(x,y).
(x / a(y,z,u)) * ((a(y,z,u) \ x) \ x) = T(x,a(y,z,u) \ x).
T(x,a(y,z,u) \ x) = (x / a(y,z,u)) * ((a(y,z,u) \ x) \ x).
((x * a(y,z,u)) / x) / a(y,z,u) = T(x,a(y,z,u)) / x.
T(x,a(y,z,u)) / x = ((x * a(y,z,u)) / x) / a(y,z,u).
((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)).
T(x,R(y,y \ 1,x)) = ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x).
((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)).
T(x,R(1 / y,y,x)) = ((x * R(1 / y,y,x)) / x) * (y * x).
T(x,y) * K(y \ x,(x * y) / x) = (y \ x) * ((x * y) / x).
T((x * y) / x,y \ x) = (y \ x) \ T(x,y).
((x \ y) * ((y * x) / y)) \ T(y,x) = K((y * x) / y,x \ y).
K((x * y) / x,y \ x) = ((y \ x) * ((x * y) / x)) \ T(x,y).
((x * y) / x) \ T(x,y) = y \ x.
T(x,y) / (y \ x) = (x * y) / x.
T(x,y) = ((x * y) / x) * (y \ x).
((x * y) / x) * (y \ x) = T(x,y).
((x * y) / x) * (y \ x) = T(x,x \ (x * y)).
(x / y) * ((y \ x) \ y) = T(y,y \ x).
K((x \ 1) \ 1,x \ 1) = x \ T(x,x \ 1).
T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u.
T(x,y) \ (x \ z) = x \ (T(x,y) \ z).
x \ (T(x,y) \ z) = T(x,y) \ (x \ z).
T(T(x,y * x) * y,x) = T(x,y) * (x \ (y * x)).
T(x,y) * (x \ (y * x)) = T(T(x,y * x) * y,x).
T(x,y) \ (x * T(T(x,y),z)) = T(T(x,y),z) * (T(x,y) \ x).
x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)).
T(x / y,y) * ((x / y) \ z) = (x / y) \ ((y \ x) * z).
(x / y) \ ((y \ x) * z) = T(x / y,y) * ((x / y) \ z).
(x * a(y,z,u)) \ ((a(y,z,u) * x) \ (x * a(y,z,u))) = T(x * a(y,z,u),x) \ 1.
(x * a(y,z,u)) * ((a(y,z,u) * x) \ x) = T(x,T(x * a(y,z,u),x)).
T(x,T(y,x)) * K(T(y,x) \ x,y) = (T(y,x) \ x) * y.
(x / y) * ((y \ x) \ y) = T(y,T(x / y,y)).
(T(x,y) \ y) \ T(y,T(x,y)) = T(x,T(x,y) \ y).
T(x,T(x,y) \ y) = (T(x,y) \ y) \ T(y,T(x,y)).
((T(x,y) \ y) * x) \ T(y,T(x,y)) = K(x,T(x,y) \ y).
K(x,T(x,y) \ y) = ((T(x,y) \ y) * x) \ T(y,T(x,y)).
x \ T(y,T(x,y)) = T(x,y) \ y.
T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1).
(x / y) * ((y \ x) \ 1) = T(x / y,y) \ (x / y).
(T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1).
T(x,T(x,y) \ 1) = (T(x,y) \ 1) \ (T(x,y) \ x).
((T(x,y) \ 1) * x) \ (T(x,y) \ x) = K(x,T(x,y) \ 1).
K(x,T(x,y) \ 1) = ((T(x,y) \ 1) * x) \ (T(x,y) \ x).
x \ (T(x,y) \ x) = T(x,y) \ 1.
x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x).
x * (T(x,y) \ y) = T(y,T(x,y)).
(x / y) * (T(x / y,y) \ z) = (y \ x) \ ((x / y) * z).
(x \ y) \ ((y / x) * z) = (y / x) * (T(y / x,x) \ z).
x * (T(x,y) \ T(z,x)) = T(x,y) \ (z * x).
T(x,y) \ (z * x) = x * (T(x,y) \ T(z,x)).
x * (T(x,y) \ (x \ z)) = T(x,y) \ z.
T(x,y) \ z = x * (T(x,y) \ (x \ z)).
x * (T(x,y) \ 1) = T(x,y) \ x.
T(x,y) \ x = x * (T(x,y) \ 1).
(x \ y) \ ((y / x) \ T(y / x,x)) = (y / x) \ 1.
(x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y).
T(a(x,y,z),u) / a(x,y,z) = a(x,y,z) \ T(a(x,y,z),u).
a(x,y,z) \ T(a(x,y,z),u) = T(a(x,y,z),u) / a(x,y,z).
x \ T(x,x \ y) = ((x \ y) \ y) * (x \ 1).
((x \ y) \ y) * (x \ 1) = x \ T(x,x \ y).
(x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1).
(x \ y) * ((y / x) \ 1) = (y / x) \ T(y / x,x).
((x \ 1) * T(x,y)) \ (x \ T(x,y)) = K(T(x,y),x \ 1).
K(T(x,y),x \ 1) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)).
(x \ T(x,y)) \ ((x \ 1) * T(x,y)) = K(x \ 1,T(x,y)).
K(x \ 1,T(x,y)) = (x \ T(x,y)) \ ((x \ 1) * T(x,y)).
T(x,y) \ (x \ T(x,y)) = x \ 1.
(x \ T(x,y)) / (x \ 1) = T(x,y).
T(x,y) * (x \ 1) = x \ T(x,y).
x \ T(x,y) = T(x,y) * (x \ 1).
(T(x,y) * z) / T(x,T(x,y) * (x \ z)) = T(x,y) * (x \ z).
(T(x,y) * (x \ z)) \ (T(x,y) * z) = T(x,T(x,y) * (x \ z)).
T(x,T(x,y) * (x \ z)) = (T(x,y) * (x \ z)) \ (T(x,y) * z).
(T(x,y) * z) \ ((T(x,y) * (x \ z)) * x) = K(T(x,y) * (x \ z),x).
K(T(x,y) * (x \ z),x) = (T(x,y) * z) \ ((T(x,y) * (x \ z)) * x).
T(x,y) * z != x * u | T(x,y) * (x \ z) = u.
x * (T(x,y) * (x \ 1)) = T(x,y).
T(x,y) = x * (T(x,y) * (x \ 1)).
x \ (T(x,y) * z) = T(x,y) * (x \ z).
(T(x,y) * z) / (T(x,y) * (x \ z)) = x.
T(x,y) \ (x * z) = x * (T(x,y) \ z).
(x * (T(x,y) * z)) \ ((T(x,y) * z) * T(x,z)) = a(T(x,y),z,T(x,z)).
(T(x,y) * z) \ (x * (T(x,y) * z)) = L(T(x,z),z,T(x,y)).
x * (T(x,y) * T(z,x)) = T(x,y) * (z * x).
T(x,y) * (z * x) = x * (T(x,y) * T(z,x)).
T(x,y) * (x * z) != x * u | T(x,y) * z = u.
x * (T(x,y) * (x \ z)) = T(x,y) * z.
T(x,y) * z = x * (T(x,y) * (x \ z)).
T(x,y) \ (x * (T(x,y) * z)) = x * z.
T(x,y) * (x * z) = x * (T(x,y) * z).
x * (T(x,y) * z) = T(x,y) * (x * z).
x * (y * T(T(x,y),z)) = T(x,z) * (x * y).
((x * T(y,z)) * y) / T(x * (y * T(y,z)),a(x,T(y,z),y)) = a(x,T(y,z),y).
L(L(x,y,z),u,w) * v5 != v6 | L(L(x,u,w),y,z) \ v6 = v5.
L(L(x,y,z),u,w) * v5 = L(L(x,u,w),y,z) * v5.
x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x.
x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x.
(x * y) * T(T(y,x),z) = (T(y,z) * x) * y.
T((x * y) * (x \ 1),y) = (x * y) * (x \ 1).
x * (T(y,x * z) * z) != u * (x * z) | L(T(y,z),z,x) = u.
R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x).
((x / y) * T(y,x)) * y = y * x.
x * y = ((y / x) * T(x,y)) * x.
T((x / y) * T(y,x),y) = x.
x \ ((y * (x * y)) / y) = T(y,x * y).
T((x / y) * T(y,(x / y) * y),y) = x.
T(x * T(y,x * y),y) = x * y.
(x * (y * x)) / x = y * T(x,y * x).
(x * T(y,x * y)) * y = y * (x * y).
x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z.
x \ (T(x,y) * (y * x)) = T(T(x,y * x) * y,x).
T(T(x,y * x) * y,x) = x \ (T(x,y) * (y * x)).
L(x,y,(y * x) / y) * y = y * T(x,y * x).
x * T(y,x * y) = L(y,x,(x * y) / x) * x.
R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,z),y).
(x * y) * T(T(y,x),z) = R(T(y,z),x,y) * (x * y).
L(T(x,y),y,(y * x) / y) = T(x,y * x).
T(x,a(y,z,u) * x) = T(x,a(y,z,u)).
T(x,a(y,z,u)) = T(x,a(y,z,u) * x).
(T(x,y * x) * y) * x = T(x,y) * (y * x).
T(x,y) * (y * x) = (T(x,y * x) * y) * x.
R(T(T(x,y * x),z),y,x) = T(T(x,y),z).
R(T(x,y * x),y,x) = T(x,y).
T(x,y) = R(T(x,y * x),y,x).
T(x,y) = (y * x) \ ((x * y) * x).
(x * y) \ ((y * x) * y) = T(y,x).
(x * y) * T(y,x) = (y * x) * y.
(x * y) * T(y,(x * y) / y) = (y * x) * y.
(x * y) * x = (y * x) * T(x,(y * x) / x).
(x * (y / x)) * x = y * T(x,y / x).
(x * (y / x)) * x = y * T(y \ (y * x),y / x).
T((x * y) / x,x / y) * x = (y * (x / y)) * y.
T((x * y) / x,x / y) = R(y,x / y,y).
R(x,y / x,x) = T((y * x) / y,y / x).
R(x * ((x \ y) * (y \ z)),a(x,x \ y,y \ z),z \ u) \ u = ((x * ((x \ y) * (y \ z))) \ z) * (z \ u).
x \ ((y * ((x \ y) \ 1)) * z) = (x \ (y * ((x \ y) \ 1))) * z.
(x \ (y * ((x \ y) \ 1))) * x = R(x,x \ y,(x \ y) \ 1).
R(x,y \ (z * ((y \ z) \ 1)),u) = x.
a(x,x \ (x / y),L(y \ 1,y,x / y) \ 1) = x \ ((x / y) * ((x \ (x / y)) \ 1)).
((x \ (y \ 1)) * (y * x)) \ a(y,x,x \ (y \ 1)) = K(y * x,x \ (y \ 1)).
K(x * y,y \ (x \ 1)) = ((y \ (x \ 1)) * (x * y)) \ a(x,y,y \ (x \ 1)).
a(x,y,y \ (x \ 1)) \ ((y \ (x \ 1)) * (x * y)) = K(y \ (x \ 1),x * y).
K(x \ (y \ 1),y * x) = a(y,x,x \ (y \ 1)) \ ((x \ (y \ 1)) * (y * x)).
(x * y) * (y \ (x \ 1)) = a(x,y,y \ (x \ 1)).
a(x,y,y \ (x \ 1)) = (x * y) * (y \ (x \ 1)).
(x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)).
((x * ((y \ 1) / (y * (y \ 1)))) / x) \ ((x * (1 / y)) / x) = a((x * (1 / y)) / x,y,y \ 1) \ 1.
((x * (1 / y)) / x) \ ((x * ((y \ 1) / (y * (y \ 1)))) / x) = a((x * (1 / y)) / x,y,y \ 1).
(x * ((x \ y) / (x * (x \ y)))) / x = ((x * (1 / x)) * (x \ y)) / y.
((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z).
((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y.
(x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z.
(x / T(a(y,z,u),w)) * a(y,z,u) = x / K(a(y,z,u),w).
(x * K(a(y,z,u),w)) / T(a(y,z,u),w) = x / a(y,z,u).
a(x,y,z) \ T(a(x,y,z),u) = K(a(x,y,z),u).
a(x,y,z) * K(a(x,y,z),u) = T(a(x,y,z),u).
T(a(x,y,z),u) = a(x,y,z) * K(a(x,y,z),u).
L(x,y \ 1,y) * (a(y,y \ 1,x) * z) = ((y * (y \ 1)) * x) * z.
((x * y) * z) * u != (x * (y * z)) * w | a(x,y,z) * u = w.
T((1 / x) * (y * x),z) = (1 / x) * (T(y,z) * x).
x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u).
x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(1 \ (x * y),z).
x \ T(1 \ (x * y),z) = (x \ 1) * T((x \ 1) \ y,z).
L(x / (1 / y),z,u) * (1 / y) = L((x * y) / 1,z,u) / y.
L((x * y) / 1,z,u) / y = L(x / (1 / y),z,u) * (1 / y).
(1 / x) \ R((1 / x) * y,z,u) = x * R(x \ y,z,u).
(1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u).
R((x \ 1) / 1,y,z) / (x \ 1) = R(1 / x,y,z) * x.
R(x / (y * (y \ 1)),z,u) / (y \ 1) = R((x / (y \ 1)) / y,z,u) * y.
(x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u).
x * L(x \ (x / y),z,u) = (x / y) * (y * L(y \ 1,z,u)).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
((x * y) * z) / L(z,y,R(x,y,z)) != u * y | R(x,y,z) = u.
((x * (y \ z)) * y) / L(K(y \ z,y),z,R(x,y \ z,y)) = R(x,y \ z,y) * z.
R(R(x,y \ 1,y),z,u) * K(y \ 1,y) = (R(x,z,u) * (y \ 1)) * y.
(L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y).
L(x / (y * z),u,w) * (y * z) = (L((x / z) / y,u,w) * y) * z.
(R(x / y,y,z) * y) \ (x * z) = L(z,y,R(x / y,y,z)).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
a(R(x / y,y,z),y,z) = (x * z) \ ((((x * z) / (y * z)) * y) * z).
(x * y) \ ((((x * y) / (z * y)) * z) * y) = a(R(x / z,z,y),z,y).
(x * y) / R(T(x,y),z,z \ 1) = y / a(T(x,y),z,z \ 1).
(x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y.
x * (1 / (1 / y)) != y | K(y,1 / y) = x.
x != y * (1 / (1 / x)) | K(x,1 / x) = y.
K(x,1 / x) * (1 / (1 / x)) = x.
(1 / (1 / x)) * (K(x,1 / x) * y) = x * y.
x * y = (1 / (1 / x)) * (K(x,1 / x) * y).
(1 / (1 / x)) \ x = K(x,1 / x).
x / K(x,1 / x) = 1 / (1 / x).
(1 / (1 / x)) * K(x,1 / x) = x.
x = (1 / (1 / x)) * K(x,1 / x).
(1 / (1 / x)) * K(x,1 / x) = x * 1.
(x / (x / y)) * (y * (x / y)) = y * x.
x \ ((x / y) * K(y \ 1,y)) = T(x \ (x / y),y).
R(x \ 1,x,y) / (y / (x * y)) = a(y / (x * y),x,x \ 1).
((x / (y * x)) * y) \ R(y \ 1,y,x) = y \ 1.
R(x / (y * x),y,y \ 1) = R(y \ 1,y,x).
T(T(x,x * y) * y,T(x,y)) = x * y.
T(x,y) * K(x \ 1,x) = K(x \ 1,x) * T(x,y).
K(x \ 1,x) * T(x,y) = T(x,y) * K(x \ 1,x).
T(x,K(x \ 1,x)) = x.
R(K(x \ 1,x),x,x \ 1) / (x \ 1) = L(x,x \ 1,x).
R(K(x \ 1,x),x,x \ 1) = L(x,x \ 1,x) * (x \ 1).
L(x,x \ 1,x) * (x \ 1) = R(K(x \ 1,x),x,x \ 1).
K(x \ 1,x) * x = x * K(x \ 1,x).
x * K(x \ 1,x) = K(x \ 1,x) * x.
K(x \ 1,x) * x = L(x,x \ 1,x).
x * y != L(x,z,u) * x | y = L(x,z,u).
x * (K(x \ 1,x) * y) = L(x,x \ 1,x) * y.
L(x,x \ 1,x) * y = x * (K(x \ 1,x) * y).
x \ (y * (K(z \ 1,z) * x)) = T(y * K(z \ 1,z),x).
T(x * K(y \ 1,y),z) = z \ (x * (K(y \ 1,y) * z)).
((x * (K(y \ 1,y) * z)) * u) / (z * u) = R(x * K(y \ 1,y),z,u).
R(x * K(y \ 1,y),z,u) = ((x * (K(y \ 1,y) * z)) * u) / (z * u).
(x \ 1) / (1 / x) = (1 / x) \ (x \ 1).
a(1 / x,x,x \ 1) = (x \ 1) / (1 / x).
a(1 / x,x,x \ 1) = ((x \ 1) / 1) / (1 / x).
((x \ 1) / 1) / (1 / x) = a(1 / x,x,x \ 1).
(x * y) / R(y,z,z \ 1) = x / a(y,z,z \ 1).
a(x \ 1,x,x \ 1) = K(x \ 1,x).
x * (y \ 1) != R(y \ 1,y,y \ 1) | x = K(y \ 1,y).
R(x,y,y \ 1) / x = a(x,y,y \ 1).
(x * (R(y,z,z \ 1) * u)) \ ((x * y) * (a(y,z,z \ 1) * u)) = a(x,y,a(y,z,z \ 1) * u).
a(x,y,a(y,z,z \ 1) * u) = (x * (R(y,z,z \ 1) * u)) \ ((x * y) * (a(y,z,z \ 1) * u)).
R(x,y,y \ 1) * z != x * u | a(x,y,y \ 1) * z = u.
a(x,y,y \ 1) * x = R(x,y,y \ 1).
x * y != R(x,z,u) * x | y = R(x,z,u).
(x * (a(y,z,u) \ 1)) * w = x * ((a(y,z,u) \ 1) * w).
(x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y.
L(x \ 1,x,y / x) \ (y / x) = T(y,L(x \ 1,x,y / x)).
T(x,L(y \ 1,y,x / y)) = L(y \ 1,y,x / y) \ (x / y).
L(R(T(x,y),z,x),z,(z * x) / z) = T(x,y).
L(T(R(x,y,x),z),y,(y * x) / y) = T(x,z).
(L(x,y,(y * x) / y) * y) * x = x * (y * x).
x * (y * x) = (L(x,y,(y * x) / y) * y) * x.
L(R(x,y,x),y,(y * x) / y) = x.
x = L(R(x,y,x),y,(y * x) / y).
R(L(x,y,(y * x) / y),y,x) = x.
R(L(x,y,(y * x) / y),y,y \ (y * x)) = x.
x \ (K(y \ 1,y) * (y \ x)) = R(T(y \ 1,x),y,y \ x).
R(T(x \ 1,y),x,x \ y) = y \ (K(x \ 1,x) * (x \ y)).
(x / (x / y)) * (y * (x / y)) = y * ((x / y) * y).
(x * (y * x)) / (x * y) = (y * x) / y.
((x * y) / x) * (y * x) = y * (x * y).
(x \ y) * T((x \ y) \ z,x * (x \ y)) = x \ ((y \ (x * z)) * (x * (x \ y))).
x \ ((y \ (x * z)) * (x * (x \ y))) = (x \ y) * T((x \ y) \ z,x * (x \ y)).
(1 / x) \ L(y / (z * y),x,1 / x) = x * R(1 / z,z,y).
R(T(x * y,(x \ 1) * x),x \ 1,x) = ((x \ 1) * x) \ (x * R(y,x,x \ 1)).
((x \ 1) * x) \ (x * R(y,x,x \ 1)) = R(T(x * y,(x \ 1) * x),x \ 1,x).
R(T(x,(x \ y) * z),x \ y,z) = ((x \ y) * z) \ (y * z).
((x \ y) * z) \ (y * z) = R(T(x,(x \ y) * z),x \ y,z).
R(T((x * y) / x,x * y),x,x \ (x * y)) = y.
R(T(x / y,x),y,y \ x) = T(x / y,y).
((x / y) \ (x * (y \ 1))) \ z = (x * (y \ 1)) \ ((x / y) * z).
a(x / (y \ 1),y \ 1,(y \ 1) \ 1) = (x / (y \ 1)) \ (x * T(y,y \ 1)).
L(x,(y / z) \ (y * (z \ 1)),u) = x.
a((x / (y \ 1)) / y,y,y \ 1) = ((x / (y \ 1)) / y) \ x.
a(1 / x,x,x \ 1) = (1 / x) \ (x \ 1).
((x * L(y,z,u)) * (x \ 1)) * x = x * L(R(y,x,x \ 1),z,u).
R(T(x \ 1,y),x,x \ y) = T(y \ (x \ y),x).
R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)).
(x / y) \ (L(z,y,x / y) * x) = y * T(z,x).
T((T(x,y) * y) / T(x,y),x * y) = L(y,T(x,y),y).
((x * y) / x) * (y * x) = (y * x) * L(y,x,y).
(x * y) * L(x,y,x) = ((y * x) / y) * (x * y).
T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x).
T((x * y) / x,y * x) = L(y,x,y).
(x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)).
(x * y) * R(T(x,x * y),z,u) = x * (y * R(T(x,y),z,u)).
L((x * y) * (x \ 1),z,u) * x = x * L(R(y,x,x \ 1),z,u).
x * L(R(y,x,x \ 1),z,u) = L((x * y) * (x \ 1),z,u) * x.
T((x * y) * (x \ 1),y) = R((x * y) / x,x,x \ 1).
R((x * y) / x,x,x \ 1) = T((x * y) * (x \ 1),y).
T((x * y) * (x \ 1),x) = R(y,x,x \ 1).
R(x,y,y \ 1) = T((y * x) * (y \ 1),y).
R(x \ y,x,x \ 1) = T(y * (x \ 1),x).
(1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z).
x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y).
T(x \ (x / y),y) = x \ ((x / y) * ((y \ 1) * y)).
((x * (y / z)) * z) \ (x * y) = a(x,y / z,z) \ 1.
L(x \ 1,x,y) \ z = ((y * x) \ y) \ z.
L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z.
((x * ((y * z) \ y)) * u) / (L(z \ 1,z,y) * u) = R(x,(y * z) \ y,u).
R(x,(y * z) \ y,u) = ((x * ((y * z) \ y)) * u) / (L(z \ 1,z,y) * u).
L(x \ 1,x,y) \ (((y * x) \ y) * z) = z.
L(x \ 1,x,y) * z = ((y * x) \ y) * z.
((x * y) \ x) * z = L(y \ 1,y,x) * z.
L(T(x,y),y,z) * (z * y) = z * (T(x,z * y) * y).
x * (T(y,x * z) * z) = L(T(y,z),z,x) * (x * z).
x \ (L(y,z,x) * (x * z)) = z * T(y,x * z).
(x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z).
x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)).
(x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)).
K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z.
x \ y = K(z \ 1,z) * ((x * K(z \ 1,z)) \ y).
(x / (K(y \ 1,y) * z)) * K(y \ 1,y) = x / z.
x / y = (x / (K(z \ 1,z) * y)) * K(z \ 1,z).
R(x / (y * x),y,y \ 1) = R(1 * (y \ 1),y,x).
R(1 * (x \ 1),x,y) = R(y / (x * y),x,x \ 1).
R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x.
L(R(1 / x,x,y),z,u) = L(y / (x * y),z,u).
L(x / (y * x),z,u) = L(R(1 / y,y,x),z,u).
T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x).
R((x / y) \ z,x / y,y) = T((z * y) / x,x / y).
T((x * y) / z,z / y) = R((z / y) \ x,z / y,y).
R(x \ (y / z),x,z) = T(y / (x * z),x).
T(x / (y * z),y) = R(y \ (x / z),y,z).
R(T(x / y,z),y,u) * (y * u) = (y * u) * T((y * u) \ (x * u),z).
R(x,y,z) = T(((y * x) * z) / (y * z),y).
T(((x * y) * z) / (x * z),x) = R(y,x,z).
T((x * y) / (z * y),z) = R(z \ x,z,y).
R(T(x / y,y * z),y,z) = (y * z) \ (x * z).
(T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y).
T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y).
R(R(x,y,T(z,y)),u,w) * (z * y) = (R(x,u,w) * y) * T(z,y).
L(L(x \ 1,y * x,z / (y * x)),x,y) = z \ ((z / (y * x)) * y).
(x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)).
(x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
(x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)).
(x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)).
(a(x,y,z) \ u) * L(w,T(a(x,y,z) \ 1,u),u) = u * (T(a(x,y,z) \ 1,u) * w).
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
R(T(x,y * z),y,z) = (y * z) \ ((x * y) * z).
R(T(x / y,x),y,T(x / y,y)) = T(x / y,y).
R(T(x,x * y),y,T(x,y)) = T(x,y).
R(R(x,y,T(x,y)),z,u) * (x * y) = (x * y) * R(T(x,y),z,u).
T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)).
R(x,y,T(x,y)) = T(((x * y) * x) / (x * y),y).
T(R(x,y,T(x,y)),x * y) = T(x,y).
(x * y) \ (y * R(T(x,y),z,z \ 1)) = L(a(T(x,y),z,z \ 1),T(x,y),y).
T(T(1 / x,(1 / x) * x),y) \ T(T(1 / x,x),y) = a(1 / x,x,T(T(1 / x,x),y)).
L(x,y,1 / y) \ x = a(1 / y,y,x).
a(1 / (x / y),x / y,y) = ((1 / (x / y)) * x) \ y.
((1 / (x / y)) * x) \ y = a(1 / (x / y),x / y,y).
((1 / x) * (x * y)) \ y = a(1 / x,x,y).
(x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z).
K(x \ 1,x) * ((1 / K(x \ 1,x)) * y) = y.
R(x,K(y \ 1,y),z) = x.
(x * K(y,1 / y)) \ z = K(y,1 / y) \ (x \ z).
K(x,1 / x) \ (y \ z) = (y * K(x,1 / x)) \ z.
(x * K(y,1 / y)) * z = x * (K(y,1 / y) * z).
L(x,K(y \ 1,y),z) = x.
x * K(x,1 / x) = R(x,1 / x,x).
R(x,K(y,1 / y),z) = x.
L(x,K(y,1 / y),z) = x.
a(x,K(y,1 / y),z) = 1.
a(x,1 / x,x) = K(x,1 / x).
x * y != R(y,1 / y,y) | x = K(y,1 / y).
a(x,1 / y,y) * x = R(x,1 / y,y).
x * (R(y,1 / z,z) \ y) = x / a(y,1 / z,z).
a(x,1 / y,y) \ R(x,1 / y,y) = x.
R(x,1 / y,y) / a(x,1 / y,y) = x.
x * a(x,1 / y,y) = R(x,1 / y,y).
x \ R(x,1 / y,y) = a(x,1 / y,y).
T(x * (y / (x * y)),x * y) = a(x,y / (x * y),x * y).
x \ (((x / y) * (y / z)) * z) = a(x / y,y / z,z).
x \ ((x * (1 / y)) * y) = a(x,1 / y,y).
T((x * (x \ 1)) \ x,y) \ T((x \ 1) \ 1,y) = a(x,x \ 1,T((x \ 1) \ 1,y)).
L(x,y \ 1,y) \ x = a(y,y \ 1,x).
(x * ((x \ y) * (y \ z))) \ z = a(x,x \ y,y \ z).
(x * ((x \ 1) * y)) \ y = a(x,x \ 1,y).
a(x,1 / y,y) \ (x * a(x,1 / y,y)) = x.
x = a(x,1 / y,y) \ (x * a(x,1 / y,y)).
T(x,a(x,1 / y,y)) = x.
T(a(x,y,y \ 1),x) = a(x,y,y \ 1).
T(x,a(x,y,y \ 1)) = x.
R(x,y,y \ 1) \ (x * z) = a(x,y,y \ 1) \ z.
x * (a(x,y,y \ 1) * z) = R(x,y,y \ 1) * z.
R(x,y,y \ 1) * z = x * (a(x,y,y \ 1) * z).
T(x,a(x,y,y \ 1)) = T(x,R(x,y,y \ 1)).
T(x,R(x,y,y \ 1)) = T(x,a(x,y,y \ 1)).
R(x,y,y \ 1) \ x = a(x,y,y \ 1) \ 1.
L(a(x \ y,z,z \ 1),x \ y,x) = y \ (x * R(x \ y,z,z \ 1)).
R(x,y,y \ 1) / a(x,y,y \ 1) = x.
L(x,y,z) \ L(R(x,u,u \ 1),y,z) = a(L(x,y,z),u,u \ 1).
x * a(x,y,y \ 1) = R(x,y,y \ 1).
x \ R(x,y,y \ 1) = a(x,y,y \ 1).
x \ ((y * x) * (T(y,x) \ 1)) = a(x,T(y,x),T(y,x) \ 1).
a(x / y,y,y \ 1) = (x / y) \ (x * (y \ 1)).
(x / y) \ (x * (y \ 1)) = a(x / y,y,y \ 1).
a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)).
x \ (y * ((x \ y) \ 1)) = a(x,x \ y,(x \ y) \ 1).
a(x / y,y,y \ z) = ((x / y) * z) \ (x * (y \ z)).
((x / y) * z) \ (x * (y \ z)) = a(x / y,y,y \ z).
x \ ((y * z) * (z \ (y \ x))) = a(y,z,z \ (y \ x)).
x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1).
L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x.
L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x.
L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x.
(x / (a(y,z,u) * w)) * v5 = (x / w) * (a(y,z,u) \ v5).
(x * (a(y,z,u) \ a(w,v5,v6))) * v7 = (x / a(y,z,u)) * (a(w,v5,v6) * v7).
(x * (a(y,z,u) \ 1)) * w = x * (a(y,z,u) \ w).
R((x * (y / (z / u))) / x,z / u,u) = (x * ((y * u) / z)) / x.
R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x.
R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x.
((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u).
(x * (y \ ((y / x) * z))) / x = L(z / x,x,y / x).
((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x).
L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z.
(x * ((y * x) \ z)) / x = L((y \ z) / x,x,y).
(x * ((y * x) \ y)) / x = L(1 / x,x,y).
(x * ((y * x) \ (y * z))) / x = L(z / x,x,y).
L((x * y) / x,z,u) = (x * L(y,z,u)) / x.
(x * L(y,z,u)) / x = L((x * y) / x,z,u).
x \ (y * (x * a(z,u,w))) = a(z,u,w) * T(y,x * a(z,u,w)).
a(x,y,z) * T(u,w * a(x,y,z)) = w \ (u * (w * a(x,y,z))).
x \ (y * (a(z,u,w) \ x)) = T(y / a(z,u,w),x).
T(x / a(y,z,u),w) = w \ (x * (a(y,z,u) \ w)).
T(x / (a(y,z,u) * w),a(y,z,u)) = a(y,z,u) \ (x / w).
T(x / a(y,z,u),a(y,z,u) * w) = (a(y,z,u) * w) \ (x * w).
(x * T(y,a(z,u,w))) / (y * a(z,u,w)) = x / a(z,u,w).
(x / (y * a(z,u,w))) * a(z,u,w) = x / T(y,a(z,u,w)).
x / T(y,a(z,u,w)) = (x / (y * a(z,u,w))) * a(z,u,w).
((x * y) * z) \ ((x * (y * z)) * u) = a(x,y,z) \ u.
(x / a(y,z,u)) * w = x * (a(y,z,u) \ w).
x * (a(y,z,u) \ w) = (x / a(y,z,u)) * w.
(x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y).
((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x).
x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x.
(((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x).
x * R(y,z,z \ x) = (((x * y) / x) * z) * (z \ x).
((x * y) * (x \ 1)) * x = x * R(y,x,x \ 1).
(((x * y) * z) / (x * z)) * x = x * R(y,x,z).
((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y).
(x * y) * R(z,x,y) = ((((x * y) * z) / (x * y)) * x) * y.
R((x * y) / x,z,u) = (x * R(y,z,u)) / x.
(x * R(y,z,u)) / x = R((x * y) / x,z,u).
R(R(x / (y / z),u,w),y / z,z) * y = ((y / z) * R((y / z) \ x,u,w)) * z.
R(R(x / (1 / y),z,u),1 / y,y) / y = (1 / y) * R((1 / y) \ x,z,u).
x \ L(R((x \ 1) \ y,z,u),x \ 1,x) = R(y / (x \ 1),z,u) * (x \ 1).
R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w).
((x * y) / (z * y)) * z = z * R(z \ x,z,y).
(x * R(x \ y,z,u)) / x = R(y / x,z,u).
x \ L(L((x \ 1) \ y,z,u),x \ 1,x) = L(y / (x \ 1),z,u) * (x \ 1).
L(R(1 / x,x,x \ y),z,u) * y = y * L(y \ (x \ y),z,u).
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
a(x,y,z) \ ((a(x,y,z) \ u) \ u) = K(a(x,y,z),a(x,y,z) \ u).
a(x,y,z) \ ((u / a(x,y,z)) \ w) = u \ w.
x \ y = a(z,u,w) \ ((x / a(z,u,w)) \ y).
a(x,y,z) * ((u * a(x,y,z)) \ w) = u \ w.
(x / (a(y,z,u) * w)) * a(y,z,u) = x / w.
x / y = (x / (a(z,u,w) * y)) * a(z,u,w).
(x * (y * z)) * K(z,y) != u * (z * y) | R(x,y * z,K(z,y)) = u.
(x / a(y,z,u)) \ w = a(y,z,u) * (x \ w).
x \ (a(y,z,u) * x) = a(y,z,u) * K(a(y,z,u),x).
(x * (a(y,z,u) \ w)) / w = x / a(y,z,u).
x / a(y,z,u) = (x * (a(y,z,u) \ w)) / w.
x / (a(y,z,u) * (w \ x)) = w / a(y,z,u).
x / a(y,z,u) = w / (a(y,z,u) * (x \ w)).
(x / y) / a(z,u,w) = x / (a(z,u,w) * y).
(x * y) / (a(z,u,w) * y) = x / a(z,u,w).
x / a(y,z,u) = (x * w) / (a(y,z,u) * w).
((a(x,y,z) \ 1) * a(u,w,v5)) * v6 = a(x,y,z) \ (a(u,w,v5) * v6).
(x * (y * z)) * (a(x,y,z) * u) = ((x * y) * z) * u.
((x * y) * z) * u = (x * (y * z)) * (a(x,y,z) * u).
x \ (y * (a(z,u,w) * x)) = T(y * a(z,u,w),x).
T(x * a(y,z,u),w) = w \ (x * (a(y,z,u) * w)).
(x * (a(y,z,u) * w)) \ ((x * a(y,z,u)) * (w * v5)) = L(v5,w,x * a(y,z,u)).
L(x,y,z * a(u,w,v5)) = (z * (a(u,w,v5) * y)) \ ((z * a(u,w,v5)) * (y * x)).
(x * (y * a(z,u,w))) \ (y * (a(z,u,w) * x)) = K(y * a(z,u,w),x).
K(x * a(y,z,u),w) = (w * (x * a(y,z,u))) \ (x * (a(y,z,u) * w)).
(x * (a(y,z,u) * (w * v5))) \ (((x * a(y,z,u)) * w) * v5) = a(x * a(y,z,u),w,v5).
a(x * a(y,z,u),w,v5) = (x * (a(y,z,u) * (w * v5))) \ (((x * a(y,z,u)) * w) * v5).
x * (a(y,z,u) * w) != v5 * w | x * a(y,z,u) = v5.
(x * a(y,z,u)) * w != x * v5 | a(y,z,u) * w = v5.
R(x,a(y,z,u),w) = x.
x = R(x,a(y,z,u),w).
x * (y * z) != (u * y) * z | x = R(u,y,z).
T(x * a(y,z,u),x) = a(y,z,u) * x.
((x \ y) \ y) * z != u | T(x,x \ y) \ u = z.
T(x,x \ y) * z = ((x \ y) \ y) * z.
((x \ y) \ y) * z = T(x,x \ y) * z.
R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u).
(1 / x) * R(x,1 / x,y) = (y / ((1 / x) * y)) * (1 / x).
(x / ((1 / y) * x)) * (1 / y) = (1 / y) * R(y,1 / y,x).
T(R(x \ 1,x,x \ y),y) = T(y \ (x \ y),x).
(x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)).
L(T(T(x / y,z),y),z,x / y) = T(y \ x,(x / y) * z).
L(R(x \ 1,x,y),x,1 / x) = (1 / x) * ((y / (x * y)) * x).
x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x.
L(T(T(x,y),z),y,1 / y) = T((1 / y) * (x * y),z).
R((x * y) / z,z,L(y \ 1,y,x)) \ x = z * ((x * y) \ x).
x / (a(y,z,u) \ w) = (x / w) * a(y,z,u).
R(x,x \ (y * z),K(z,y)) \ (z * y) = (x \ (y * z)) * K(z,y).
L(R(x,L(x,y,z) \ u,w),y,z) \ (u * w) = (L(x,y,z) \ u) * w.
R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z).
L(T(x,y),y,z) \ (z * (x * y)) = T(z * y,L(T(x,y),y,z)).
T(x * y,L(T(z,y),y,x)) = L(T(z,y),y,x) \ (x * (z * y)).
x / L(T(y,z),z,x / (y * z)) = (x / (y * z)) * z.
x / L(y,z / y,x / z) = (x / z) * (z / y).
T((x * y) / L(y,x,1 / x),1 / x) = R((1 / x) \ 1,1 / x,x * y).
(x / (y * x)) * y = y * R(y \ 1,y,x).
x * R(x \ 1,x,y) = (y / (x * y)) * x.
T((x \ y) / y,x) = R(x \ 1,x,x \ y).
T(x / ((1 / x) * x),y) / x = T(1 / (1 / x),y) * (1 / x).
R(T(1 / x,y),x,z) * (x * z) = (x * z) * T((x * z) \ z,y).
T(x / (y * x),y) = R(y \ 1,y,x).
R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w).
R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y).
R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u).
T(R(x / y,y,y \ z),z) = z \ (x * (y \ 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)).
((x / y) * a(z,u,w)) \ x = a(z,u,w) \ y.
L(R(x \ y,z,u),x,y / x) = R(T(y / x,y),z,u).
R(T(x / y,x),z,u) = L(R(y \ x,z,u),y,x / y).
x \ ((x / a(y,z,u)) * w) = a(y,z,u) \ w.
L(x \ y,x,y / x) = T(y / x,y).
T(x / y,x) = L(y \ x,y,x / y).
L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w).
L(x \ (y * z),u,w) = L(L((y \ x) \ z,u,w),y \ x,y).
L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w).
R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y).
L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u).
(x / y) * (y * T(z,x)) = L(z,y,x / y) * x.
((x / y) * (y * z)) / T(L(z,y,x / y),T(x,L(z,y,x / y))) = T(x,L(z,y,x / y)).
x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)).
(x / y) * (y * z) != x * u | L(z,y,x / y) = u.
T(x * (y * z),(x * y) * z) = T(x * (y * z),a(x,y,z)).
T((x * y) / x,y * x) = (L(y,x,y) * x) / x.
(L(x,y,x) * y) / y = T((y * x) / y,x * y).
L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y).
(x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y).
T(x / y,(y \ x) * y) = L(y \ x,y,y \ x).
L(x \ y,x,x \ y) = T(y / x,(x \ y) * x).
x * y != y * T(y \ z,u) | x = T(z / y,u).
x * T(y,y * x) = L(y,x,y) * x.
T(x,x * a(y,z,u)) = T(x,a(y,z,u)).
L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u).
L(T(x,x * y),z,u) = L(L(T(x,y),z,u),y,x).
L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u).
R(T(x,x * y),z,u) = L(R(T(x,y),z,u),y,x).
L(T(T(x,y),z),y,x) = T(T(x,x * y),z).
L(T(x,y),y,x) = T(x,x * y).
T(x,x * y) = L(T(x,y),y,x).
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).
x \ R(y,1 / x,x) = T(y * (1 / x),x).
T(x * (1 / y),y) = y \ R(x,1 / y,y).
R(x,1 / y,y) / y = x * (1 / y).
(x * (1 / y)) * y = R(x,1 / y,y).
R(x,1 / y,y) = (x * (1 / y)) * y.
R(T((x * y) / x,z),x,x \ 1) = (x * T(y,z)) * (x \ 1).
R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z).
R(T(x / y,z),y,y \ 1) / (y \ 1) = y * T(y \ x,z).
L((x \ 1) \ 1,x \ 1,y * x) = R(y,x,x \ 1) \ (y * x).
K(x \ 1,x) * (x \ 1) = R(x \ 1,x,x \ 1).
R(x,T(y,x),T(y,x) \ 1) = (y * x) * (T(y,x) \ 1).
(x * y) * (T(x,y) \ 1) = R(y,T(x,y),T(x,y) \ 1).
R(x,1 / y,(1 / y) \ 1) = (x * (1 / y)) * y.
(x * (1 / y)) * y = R(x,1 / y,(1 / y) \ 1).
(x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1).
T(x * y,y \ 1) = (y \ 1) \ R(x,y,y \ 1).
((x \ 1) * (y * x)) \ R(y,x,x \ 1) = K(y * x,x \ 1).
K(x * y,y \ 1) = ((y \ 1) * (x * y)) \ R(x,y,y \ 1).
R(x / y,y,y \ 1) = x * (y \ 1).
x * (y \ 1) = R(x / y,y,y \ 1).
R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1).
x * ((y \ x) \ 1) = R(y,y \ x,(y \ x) \ 1).
(x * y) \ R(x,y,y \ 1) = y \ 1.
R(x,y,y \ 1) / (y \ 1) = x * y.
(x * y) * (y \ 1) = R(x,y,y \ 1).
R(x,y,y \ 1) = (x * y) * (y \ 1).
R(x,x \ y,y \ z) = z / ((x \ y) * (y \ z)).
R((x * (y / z)) \ (x * y),u,w) = L(R(z,u,w),y / z,x).
L(x,y / x,z / y) = ((z / y) * (y / x)) \ z.
((a(x,y,z) \ u) / u) * w = a(x,y,z) \ w.
x / ((a(y,z,u) \ w) / w) = x * a(y,z,u).
L(x \ y,x,a(z,u,w) \ 1) = (a(z,u,w) \ x) \ ((a(z,u,w) \ 1) * y).
K(a(x,y,z) \ 1,u / (a(x,y,z) \ 1)) = u \ (a(x,y,z) \ (u / (a(x,y,z) \ 1))).
x \ (a(y,z,u) \ (x / (a(y,z,u) \ 1))) = K(a(y,z,u) \ 1,x / (a(y,z,u) \ 1)).
(a(x,y,z) \ 1) * (u * a(x,y,z)) = T(u,a(x,y,z)).
T(x,a(y,z,u)) = (a(y,z,u) \ 1) * (x * a(y,z,u)).
T(a(x,y,z) \ 1,u) = u \ (a(x,y,z) \ u).
((a(x,y,z) \ u) * w) / (u * w) = R(a(x,y,z) \ 1,u,w).
R(a(x,y,z) \ 1,u,w) = ((a(x,y,z) \ u) * w) / (u * w).
(a(x,y,z) \ u) / u = a(x,y,z) \ 1.
(x \ (x / a(y,z,u))) \ w = a(y,z,u) * w.
x / (a(y,z,u) * x) = a(y,z,u) \ 1.
(a(x,y,z) \ 1) * u = a(x,y,z) \ u.
(a(x,y,z) \ 1) \ u = a(x,y,z) * u.
x / (a(y,z,u) * x) = 1 / a(y,z,u).
(1 / a(x,y,z)) * u = a(x,y,z) \ u.
L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u).
R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x).
L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z).
(1 / a(x,y,z)) \ u = a(x,y,z) * u.
(1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u).
L(T(T(x,y),z),y,1 / y) = (1 / y) * (T(x,z) * y).
(1 / x) * (T(y,z) * x) = L(T(T(y,x),z),x,1 / x).
L(T(x,y),y,1 / y) = (1 / y) * (x * y).
(1 / x) * (y * x) = L(T(y,x),x,1 / x).
L(x,y,1 / y) != (1 / y) * z | y * x = z.
L(x \ y,x,1 / x) = (1 / x) * y.
(1 / x) * y = L(x \ y,x,1 / x).
(1 / x) \ L(y,x,1 / x) = x * y.
L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)).
x \ ((x / y) * (z * y)) = L(T(z,y),y,x / y).
(1 / x) * (x * y) = L(y,x,1 / x).
L(x,y,1 / y) = (1 / y) * (y * x).
T((x * y) / x,x * y) = L(y,x,(x * y) / x).
L(K(x \ 1,x) \ 1,K(x \ 1,x),x) = L(x,x \ 1,x) \ x.
x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u).
x * K(x \ 1,x) = L(x,x \ 1,x).
x \ L(y,x \ 1,x) = (x \ 1) * y.
x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y).
x \ ((y \ x) * (T(y,y \ x) * z)) = L(z,(y \ x) \ x,y \ x).
L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))).
x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y).
x * ((x \ 1) * y) = L(y,x \ 1,x).
L(x,y \ 1,y) = y * ((y \ 1) * x).
((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1.
((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z.
(x * (y * z)) * a(x,z * y,K(y,z)) = (x * (z * y)) * K(y,z).
((x * y) * z) / T(x * (y * z),a(x,y,z)) = a(x,y,z).
x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z.
(x * y) * a(x,z,z \ y) = (x * z) * (z \ y).
T((x * (y / z)) / x,z) = (x * (z \ y)) / x.
(x * (y \ z)) / x = T((x * (z / y)) / x,y).
x * ((y * T(z,x)) / y) = ((y * z) / y) * x.
x * (y \ (y / a(z,u,w))) = x / a(z,u,w).
x * (1 / a(y,z,u)) = x / a(y,z,u).
R(x,x \ 1,a(y,z,u) \ 1) = (a(y,z,u) \ 1) / ((x \ 1) / a(y,z,u)).
((a(x,y,z) \ 1) * u) \ (u / a(x,y,z)) = K(u,a(x,y,z) \ 1).
K(x,a(y,z,u) \ 1) = ((a(y,z,u) \ 1) * x) \ (x / a(y,z,u)).
x * (a(y,z,u) \ 1) != w | w * a(y,z,u) = x.
x != y * (a(z,u,w) \ 1) | x * a(z,u,w) = y.
((x * y) * T(L(z,y,x),u)) / (x * y) = T((x * (y * z)) / (x * y),u).
(x * T(y,z)) / x = T((x * y) / x,z).
(x * y) \ (x * (y / a(z,u,w))) = L(a(z,u,w) \ 1,y,x).
L(a(x,y,z) \ 1,u,w) = (w * u) \ (w * (u / a(x,y,z))).
(x \ (x / a(y,z,u))) \ (x / a(y,z,u)) = T(x,a(y,z,u) \ 1).
T(x,a(y,z,u) \ 1) = (x \ (x / a(y,z,u))) \ (x / a(y,z,u)).
x * (a(y,z,u) \ 1) = x / a(y,z,u).
x * a(y,z,u) != 1 | a(y,z,u) \ 1 = x.
1 != x * a(y,z,u) | a(y,z,u) \ 1 = x.
1 / a(x,y,z) = a(x,y,z) \ 1.
(a(x,y,z) \ 1) * a(x,y,z) = 1.
(x * a(y,z,u)) * (a(y,z,u) \ 1) = x.
T(x / y,z) \ (y * T(y \ x,z)) = y.
(x * T(x \ y,z)) / x = T(y / x,z).
(x / (x / y)) * z != y * (x / (x / y)) | z = y.
(R(x,y,z) * (x \ u)) / R((x \ u) \ u,y,z) = x \ u.
T(x,R(x,y,z)) = x.
(x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y).
R((x * y) / x,z,u) * x = x * R(y,z,u).
x * R(y,z,u) = R((x * y) / x,z,u) * x.
R(x / y,z,u) * y = y * R(y \ x,z,u).
x * R(x \ y,z,u) = R(y / x,z,u) * x.
R(x,y,z) * x = x * R(x,y,z).
x * R(x,y,z) = R(x,y,z) * x.
x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x.
(x * (R(y,z,u) * w)) \ ((x * w) * R(T(y,w),z,u)) = a(x,w,R(T(y,w),z,u)).
a(x,y,R(T(z,y),u,w)) = (x * (R(z,u,w) * y)) \ ((x * y) * R(T(z,y),u,w)).
L(x,y,z) * u != x * L(x,y,z) | u = x.
(x * L(x,y,z)) / x = L(x,y,z).
T(x,L(x,y,z)) = x.
((x * y) \ x) * z = z * L(T(y \ 1,z),y,x).
x * L(T(y \ 1,x),y,z) = ((z * y) \ z) * x.
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
L(x,y,z) * (z * y) = z * (y * T(x,z * y)).
L(T(x / y,z),u,w) * y = y * L(T(y \ x,z),u,w).
x * L(T(x \ y,z),u,w) = L(T(y / x,z),u,w) * x.
(x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y).
L(x / y,z,u) * y = y * L(y \ x,z,u).
x * L(x \ y,z,u) = L(y / x,z,u) * x.
L(x,y,z) * x = x * L(x,y,z).
x * L(x,y,z) = L(x,y,z) * x.
x * L(T(L(y,z,u),x),w,v5) = L(L(y,w,v5),z,u) * x.
x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x.
x * L(L(T(y,x),z,u),w,v5) = L(L(y,z,u),w,v5) * x.
(T(x,T(y,x)) * T(y,x)) \ (y * x) = K(T(y,x),T(x,T(y,x))).
R(x \ 1,(x \ 1) \ 1,y) = y / (T(x,x \ 1) * y).
R(x,x \ 1,T(y,x \ 1)) = T(y,x \ 1) / (y * (x \ 1)).
R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z).
(x * R(1 / y,y,y \ x)) \ (y \ x) = K((y \ x) / x,x).
(x \ y) \ (y * R(1 / x,x,x \ y)) = K(y,(x \ y) / y).
R(R(1 / x,y,z),x,x \ u) = R((x \ u) / u,y,z).
R((x \ y) / y,z,u) = R(R(1 / x,z,u),x,x \ y).
R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x).
R(x / y,y,x \ z) \ z = y * (x \ z).
R((x * y) / z,z,L(y \ 1,y,x)) = x / (z * L(y \ 1,y,x)).
R(R((x / y) / z,u,w),z,y) = R(x / (z * y),u,w).
R(x / (y * z),u,w) = R(R((x / z) / y,u,w),y,z).
K(x,1 / x) \ x = L(x,1 / x,x).
L(x,1 / x,x) = K(x,1 / x) \ x.
(x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x).
x \ (x / a(y,z,u)) = a(y,z,u) \ 1.
L(L(x \ 1,y,z),x,u / x) = L(u \ (u / x),y,z).
L(x \ (x / y),z,u) = L(L(y \ 1,z,u),y,x / y).
T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y).
L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y).
(x * y) / (a(z,u,w) \ y) = x * a(z,u,w).
x / L(y \ z,y,x / z) = (x / z) * y.
(x * a(y,z,u)) \ w = a(y,z,u) \ (x \ w).
L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z.
L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w).
R((x * y) \ z,u,w) = L(R(y \ (x \ z),u,w),y,x).
L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u).
R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u.
R(x \ 1,x,y) \ (K(x \ 1,x) * y) = x * y.
R(x,y,K(y,x)) \ (y * x) = y * K(y,x).
R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y).
R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z.
R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z).
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
((x * y) * z) / L(z,y,R(x,y,z)) = R(x,y,z) * y.
(x * ((y * z) * u)) / L(z * u,R(y,z,u),x) = x * R(y,z,u).
(x * ((y \ z) * y)) / L(K(y \ z,y),z,x) = x * z.
(x * (a(y,z,u) * w)) / w = x * a(y,z,u).
(x * (y * z)) / L(T(y,z),z,x) = x * z.
x / L(y,z,x / (z * y)) = (x / (z * y)) * z.
(x * y) / L(z,y / z,x) = x * (y / z).
R(x,x \ 1,y) \ y = (x \ 1) * y.
R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z).
R(1 / x,x,T(y,x)) = T(y,x) / (y * x).
R(1 / x,x,y) \ y = x * y.
R(x,x \ 1,y) = y / ((x \ 1) * y).
R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z).
R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x).
R(L(1 / x,y,z),x,u) = L(u / (x * u),y,z).
T(x / (y * x),z) = R(T(1 / y,z),y,x).
R(T(1 / x,y),x,z) = T(z / (x * z),y).
R(1 / x,x,x \ y) = (x \ y) / y.
R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u).
R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)).
R(x / K(y,1 / y),K(y,1 / y),K(1 / y,y)) = (x * K(1 / y,y)) / 1.
R(x / K(y \ 1,y),K(y \ 1,y),K(y,y \ 1)) = (x * K(y,y \ 1)) / 1.
T(R(x / y,y,z),y * z) = (y * z) \ (x * z).
R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y).
R(x / y,y,z) \ (x * z) = y * z.
T((x * y) / (z * y),u) = R(T(x / z,u),z,y).
R(T(x / y,z),y,u) = T((x * u) / (y * u),z).
R(x / (y / z),y / z,z) = (x * z) / y.
R((x / y) / z,z,y) = x / (z * y).
R(x / y,y,y \ z) = (x * (y \ z)) / z.
R(x / y,y,x \ z) = z / (y * (x \ z)).
R(1 / x,x,y) = y / (x * y).
R(x,y,1 / y) * K(y,1 / y) = (x * y) * (1 / y).
R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y.
R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y).
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z.
L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z.
(((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u).
R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u).
(R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)).
L(x,y,R(z,y,x)) = (R(z,y,x) * y) \ ((z * y) * x).
(x * y) * z != u * (y * z) | R(x,y,z) = u.
R(x,y / z,z) * y = (x * (y / z)) * z.
R(x,y,y \ z) * z = (x * y) * (y \ z).
x / L(K(y,y \ 1),K(y \ 1,y),x) = x * K(y \ 1,y).
x / (a(y,z,u) \ 1) = x * a(y,z,u).
T(x * y,L(y \ 1,y,x)) = L(y \ 1,y,x) \ x.
x / L(y,1 / y,x) = x * (1 / y).
K(x \ 1,x) \ (x \ 1) = L(x \ 1,x,x \ 1).
L(x \ 1,x,x \ 1) = K(x \ 1,x) \ (x \ 1).
x \ (L(y \ 1,y,x) * (x * y)) = K((x * y) \ x,x * y).
(x * a(y,z,u)) \ x = a(y,z,u) \ 1.
L(x,1 / x,y) = (y * (1 / x)) \ y.
x / L(y \ 1,y,x) = x * y.
L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z).
L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x).
R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x).
T((x * y) \ x,z) = L(T(y \ 1,z),y,x).
L(T(x \ 1,y),x,z) = T((z * x) \ z,y).
L(x \ 1,x,y / x) = y \ (y / x).
L(L(x \ y,x,z),z * x,u) = (u * (z * x)) \ (u * (z * y)).
L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)).
L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u).
L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z).
(x * y) / L(z \ y,z,x) = x * z.
T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x).
L(T(x \ y,z),x,u) = T((u * x) \ (u * y),z).
L(x \ y,x,z / y) = ((z / y) * x) \ z.
L(x \ y,x,z / x) = z \ ((z / x) * y).
L(x \ (y \ z),x,y) = (y * x) \ z.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(x \ 1,x,y) = (y * x) \ y.
K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y).
(x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y).
(x * a(y,z,u)) * w = x * (a(y,z,u) * w).
(x * y) * L(z,T(x,y),y) = y * (T(x,y) * z).
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)).
T(x * y,L(z,y,x)) = L(z,y,x) \ (x * (y * z)).
((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u).
R(x * y,L(z,y,x),u) = ((x * (y * z)) * u) / (L(z,y,x) * u).
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))).
(x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y).
L(x,L(y,z,u),u * z) = (u * (z * y)) \ ((u * z) * (L(y,z,u) * x)).
((x * y) * (L(z,y,x) * u)) \ ((x * (y * z)) * u) = a(x * y,L(z,y,x),u).
a(x * y,L(z,y,x),u) = ((x * y) * (L(z,y,x) * u)) \ ((x * (y * z)) * u).
(x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)).
a(x,y * z,L(u,z,y)) = (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)).
(x * y) * z != x * (y * u) | L(u,y,x) = z.
x * (y * z) != (x * y) * u | L(z,y,x) = u.
x * L(y,z,x / z) = (x / z) * (z * y).
x * L(y,z \ x,z) = z * ((z \ x) * y).
K(x,1 / x) * K(1 / x,x) = 1.
K(x \ 1,x) * K(x,x \ 1) = 1.
T((x \ y) * x,K(x,x \ y)) = K(x,x \ y) \ y.
x * T(x \ y,z) != u * x | T(y / x,z) = u.
x * T(x \ y,z) != u * x | u = T(y / x,z).
T(x \ y,z) * (y / x) = (y / x) * T(x \ y,z).
(x / y) * T(y \ x,z) = T(y \ x,z) * (x / y).
((x \ y) \ y) * z = z * T(T(x,z),x \ y).
x * T(T(y,x),y \ z) = ((y \ z) \ z) * x.
T(x,T(x,y) \ z) * y = y * ((T(x,y) \ z) \ z).
x * ((T(y,x) \ z) \ z) = T(y,T(y,x) \ z) * x.
(x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y).
T(T(x,y),z) * x = x * T(T(x,y),z).
x * T(T(x,y),z) = T(T(x,y),z) * x.
T(x / y,z) * y = y * T(y \ x,z).
x * T(x \ y,z) = T(y / x,z) * x.
x * T(T(T(y,x),z),u) = T(T(y,z),u) * x.
(x * (T(y,z) * u)) \ ((x * u) * T(T(y,u),z)) = a(x,u,T(T(y,u),z)).
a(x,y,T(T(z,y),u)) = (x * (T(z,u) * y)) \ ((x * y) * T(T(z,y),u)).
K(x,1 / x) \ 1 = K(1 / x,x).
(1 / x) \ K(x,1 / x) = T(x,1 / x).
T(x,1 / x) = (1 / x) \ K(x,1 / x).
(x * K(y,1 / y)) \ ((x * y) * (1 / y)) = a(x,y,1 / y).
a(x,y,1 / y) = (x * K(y,1 / y)) \ ((x * y) * (1 / y)).
x \ K(x,1 / x) = 1 / x.
K(x,1 / x) = x * (1 / x).
K(x \ 1,x) \ 1 = K(x,x \ 1).
K((1 / x) \ 1,1 / x) = x * (1 / x).
((x * (y \ 1)) * y) / K(y \ 1,y) = R(x,y \ 1,y).
R(x,y \ 1,y) = ((x * (y \ 1)) * y) / K(y \ 1,y).
(K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y).
R(x \ 1,x,y) = (K(x \ 1,x) * y) / (x * y).
K(x \ 1,x) / x = x \ 1.
K(x \ 1,x) = (x \ 1) * x.
R(x,y,1) = x.
(x * y) / y = R(x,y,1).
a(1,x,y) = 1.
L(x,y,1) = x.
x \ (x * y) = L(y,x,1).
((x \ y) * (y / x)) / (x \ y) = y / x.
x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x.
x / L(T(y,L(y,z,u) \ x),z,u) = L(y,z,u) \ x.
T(x,y) * T(x,z) = T(x,z) * T(x,y).
((x * T(y,z)) * y) / (y * T(y,z)) = R(x,T(y,z),y).
R(x,T(y,z),y) = ((x * T(y,z)) * y) / (y * T(y,z)).
x / K(y,y \ x) = (y \ x) * y.
T(R(x,y,z),x \ u) = R((x \ u) \ u,y,z).
R((x \ y) \ y,z,u) = T(R(x,z,u),x \ y).
L(T(x,L(x,y,z) \ u),y,z) = (L(x,y,z) \ u) \ u.
(x * y) * K(K(x,y),y * x) = K(x,y) * (y * x).
(x * y) / T(y * x,K(x,y)) = K(x,y).
(x * y) * K(T(x,y),y) = T(x,y) * y.
K(x,y) \ (x * y) = T(y * x,K(x,y)).
T(x * y,K(y,x)) = K(y,x) \ (y * x).
((x * (y * z)) * K(z,y)) / (z * y) = R(x,y * z,K(z,y)).
R(x,y * z,K(z,y)) = ((x * (y * z)) * K(z,y)) / (z * y).
(x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x).
L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)).
(x * y) * z != y * x | K(y,x) = z.
x * y != (y * x) * z | K(x,y) = z.
x * K(y,x / y) = y * (x / y).
x * K(y \ x,y) = (y \ x) * y.
(x / (x / y)) * y = y * (x / (x / y)).
T(x,y / (y / x)) = x.
K(x,y / (y / x)) = 1.
T(x \ y,y / x) = x \ y.
T((x * y) / x,y) = (x * y) / x.
(x * y) / T(y,T(x,y)) = T(x,y).
(R(x,y,z) * u) / R(T(x,u),y,z) = u.
x / T(y,y \ x) = y \ x.
T(T(x,y),T(x,z)) = T(x,y).
T(x,y) = T(T(x,y),T(x,z)).
K(x \ y,y / x) = 1.
T(x,y) * x = x * T(x,y).
x * T(x,y) = T(x,y) * x.
T(x,T(x,y)) = x.
K(T(x,y),x) = 1.
T(T(x / y,z),y) = T(y \ x,z).
T(x \ y,z) = T(T(y / x,z),x).
(x * y) \ ((z * x) * y) = T(R(z,x,y),x * y).
T(R(x,y,z),y * z) = (y * z) \ ((x * y) * z).
x * R(T(y,x),z,u) = R(y,z,u) * x.
x * L(T(y,x),z,u) = L(y,z,u) * x.
x * T(T(y,x),z) = T(y,z) * x.
T(x,y) \ (x * y) = T(y,T(x,y)).
T(x,T(y,x)) = T(y,x) \ (y * x).
((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)).
R(x,y,T(z,y)) = ((x * y) * T(z,y)) / (z * y).
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
L(T(x,y),y,z) = (z * y) \ (z * (x * y)).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)).
(T(x,y) * y) \ (x * y) = K(y,T(x,y)).
K(x,T(y,x)) = (T(y,x) * x) \ (y * x).
(x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z).
a(x,T(y,x),z) = (x * (T(y,x) * z)) \ ((y * x) * z).
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)).
a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)).
x * T(y,x) != z * x | z = y.
x * y != y * T(z,y) | x = z.
x * y != z * x | T(z,x) = y.
x * y != y * z | T(x,y) = z.
T((x * y) / x,x) = y.
x * y != ((x * z) / u) * u | y = z.
T(x,1) = x.
T(1,x) = 1.
R(x,y,z) \ ((x * y) * z) = y * z.
(x * y) / T(x,y) = y.
(x * (y * z)) / L(z,y,x) = x * y.
(x * y) / K(x,y) = y * x.
((x * y) * z) / a(x,y,z) = x * (y * z).
L(x,1,y) = x.
T(T(x,y),x) = T(x,y).
T(x,y) = T(T(x,y),x).
a(x,1,y) = 1.
L(x,a(y,z,u),w) = x.
T(x / y,y) = y \ x.
T(x,x \ y) = (x \ y) \ y.
x * T(y,x) = y * x.
T(x,x) = x.
T(1,x) = x \ x.
((x * (y / z)) * z) / y = R(x,y / z,z).
R(x,y / z,z) = ((x * (y / z)) * z) / y.
R(x / y,y,z) = (x * z) / (y * z).
R(x,y,z) * (y * z) = (x * y) * z.
((x * y) * (y \ z)) / z = R(x,y,y \ z).
R(x,y,y \ z) = ((x * y) * (y \ z)) / z.
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
(x * y) / (y * 1) = R(x,y,1).
R(x,y,1) = (x * y) / (y * 1).
L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z.
L(x,y / x,z) = (z * (y / x)) \ (z * y).
x \ ((x / y) * (y * z)) = L(z,y,x / y).
L(x,y,z / y) = z \ ((z / y) * (y * x)).
L(x \ y,x,z) = (z * x) \ (z * y).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
L(x,y \ z,y) = z \ (y * ((y \ z) * x)).
(x * y) * L(z,y,x) = x * (y * z).
x \ (1 * (x * y)) = L(y,x,1).
L(x,y,1) = y \ (1 * (y * x)).
(x * (y / x)) \ y = K(y / x,x).
K(x / y,y) = (y * (x / y)) \ x.
x \ (y * (x / y)) = K(y,x / y).
K(x,y / x) = y \ (x * (y / x)).
((x \ y) * x) \ y = K(x,x \ y).
K(x,x \ y) = ((x \ y) * x) \ y.
x \ ((y \ x) * y) = K(y \ x,y).
K(x \ y,x) = y \ ((x \ y) * x).
(x * y) * K(y,x) = y * x.
((x / y) * (y * z)) \ (x * z) = a(x / y,y,z).
a(x / y,y,z) = ((x / y) * (y * z)) \ (x * z).
x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z).
a(x / (y * z),y,z) = x \ (((x / (y * z)) * y) * z).
(x * y) \ ((x * (y / z)) * z) = a(x,y / z,z).
a(x,y / z,z) = (x * y) \ ((x * (y / z)) * z).
(x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z).
a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z).
(x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y).
a(x,y,y \ z) = (x * z) \ ((x * y) * (y \ z)).
(x * (y * z)) * a(x,y,z) = (x * y) * z.
x * y != z | z / y = x.
x != y * z | x / z = y.
((x * y) * z) / z != u * y | u = x.
x * y != ((z * y) * u) / u | x = z.
x * 1 != y | x = y.
(x / y) * z != x | z = y.
x * (x \ (y * z)) != y * u | u = z.
x * y != z * (z \ (x * u)) | y = u.
x * y != z | x \ z = y.
x != y * z | y \ x = z.
x \ (x * (y * z)) != y * u | u = z.
x * y != z \ (z * (x * u)) | y = u.
1 * x != y | x = y.
(x / y) \ x = y.
x / (y \ x) = y.
x / 1 = x.
x / x = 1.
x \ x = 1.
1 \ x = x.
a(c1,c2,a(c3,c4,c5)) != 1.
a(x,a(y,z,u),w) = 1.
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(T(x,y),z,u) = T(R(x,z,u),y).
T(R(x,y,z),u) = R(T(x,u),y,z).
L(T(x,y),z,u) = T(L(x,z,u),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
T(T(x,y),z) = T(T(x,z),y).
K(x,y) != 1 | T(x,y) = x.
T(x,y) != x | K(x,y) = 1.
T(x,y) != x | T(y,x) = y.
L(x,y,z) != x | a(z,y,x) = 1.
a(x,y,z) != 1 | L(z,y,x) = z.
T(x,y) = y \ (x * y).
x \ (y * x) = T(y,x).
R(x,y,z) = ((x * y) * z) / (y * z).
((x * y) * z) / (y * z) = R(x,y,z).
L(x,y,z) = (z * y) \ (z * (y * x)).
(x * y) \ (x * (y * z)) = L(z,y,x).
K(x,y) = (y * x) \ (x * y).
(x * y) \ (y * x) = K(y,x).
a(x,y,z) = (x * (y * z)) \ ((x * y) * z).
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
x * y != z * y | x = z.
x * y != x * z | y = z.
x * y != z | u * y != z | u = x.
x * y != z | x * u != z | u = y.
(x / y) * y = x.
(x * y) / y = x.
x * (x \ y) = y.
x \ (x * y) = y.
x * 1 = x.
1 * x = x.
a(x,y,a(z,u,w)) = 1.

end_of_list.
