% *********************************************************
% AIM:  R1-distributivity => aa1
% *********************************************************

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

set(para_from_small).

clear(back_demod).
set(restrict_denials).

assign(max_weight,5).

formulas(assumptions).

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

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

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

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

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

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

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

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

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

   % ------------
   % Special Case
   % ------------

   R(x1,y,z) * R(x2,y,z) = R(x1 * x2,y,z) # label("R1dist").

end_of_list.

formulas(goals).

   a(a(x,y,z),u,w) = 1 # label("aa1").

end_of_list.

%
% Hints extracted from previously found proofs.
%

formulas(hints).

a(a(x,y,z),u,w) = 1.
1 * x = x.
x * 1 = x.
x \ (x * y) = y.
x * (x \ y) = y.
(x * y) / y = x.
(x / y) * y = x.
x * y != z | x * u != z | u = y.
x * y != z | u * y != z | u = x.
x * y != x * z | y = z.
x * y != z * y | x = z.
x != y | z * x = z * y.
x != y | x * z = y * z.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
a(x,y,z) = (x * (y * z)) \ ((x * y) * z).
(x * y) \ (y * x) = K(y,x).
K(x,y) = (y * x) \ (x * y).
(x * y) \ (x * (y * z)) = L(z,y,x).
L(x,y,z) = (z * y) \ (z * (y * x)).
((x * y) * z) / (y * z) = R(x,y,z).
R(x,y,z) = ((x * y) * z) / (y * z).
x \ (y * x) = T(y,x).
T(x,y) = y \ (x * y).
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.
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
L(T(x,y),z,u) = T(L(x,z,u),y).
T(R(x,y,z),u) = R(T(x,u),y,z).
R(T(x,y),z,u) = T(R(x,z,u),y).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
R(x,y,z) * R(u,y,z) = R(x * u,y,z).
a(a(c1,c2,c3),c4,c5) != 1.
1 \ x = x.
x \ x = 1.
x / x = 1.
x / 1 = x.
x / (y \ x) = y.
(x / y) \ x = y.
1 * x != y | x = y.
x != x * y | 1 = y.
x * y != x | 1 = y.
x != y * z | y \ x = z.
x * y != z | x \ z = y.
x * y != z * (z \ (x * u)) | y = u.
x * (x \ (y * z)) != y * u | u = z.
x * 1 != y | x = y.
x != y * z | x / z = y.
x * y != z | z / y = x.
(x * (y * z)) * a(x,y,z) = (x * y) * z.
a(x,y,y \ z) = (x * z) \ ((x * y) * (y \ z)).
(x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y).
a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z).
(x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z).
a(x,y,(x * y) \ z) = (x * (y * ((x * y) \ z))) \ z.
(x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z).
(x * y) * K(y,x) = y * x.
K(x \ y,x) = y \ ((x \ y) * x).
x \ ((y \ x) * y) = K(y \ x,y).
K(x,x \ y) = ((x \ y) * x) \ y.
((x \ y) * x) \ y = K(x,x \ y).
K(x,y / x) = y \ (x * (y / x)).
x \ (y * (x / y)) = K(y,x / y).
K(x / y,y) = (y * (x / y)) \ x.
(x * (y / x)) \ y = K(y / x,x).
a(x,x,x) = K(x * x,x).
K(x * x,x) = a(x,x,x).
(x * y) * L(z,y,x) = x * (y * z).
L(x,y \ z,y) = z \ (y * ((y \ z) * x)).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
L(x \ y,x,z) = (z * x) \ (z * y).
L(x,y,z / y) = z \ ((z / y) * (y * x)).
x \ ((x / y) * (y * z)) = L(z,y,x / y).
L(x,y / x,z) = (z * (y / x)) \ (z * y).
R(1,x,y) = (x * y) / (x * y).
(x * y) / (x * y) = R(1,x,y).
R(x,1,y) = ((x * 1) * y) / y.
((x * 1) * y) / y = R(x,1,y).
R(x,y,1) = (x * y) / (y * 1).
(x * y) / (y * 1) = R(x,y,1).
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)).
R(x,y,y \ z) = ((x * y) * (y \ z)) / z.
((x * y) * (y \ z)) / z = R(x,y,y \ z).
R(x,y,z) * (y * z) = (x * y) * z.
R(x / y,y,z) = (x * z) / (y * z).
R(x,y / z,z) = ((x * (y / z)) * z) / y.
((x * (y / z)) * z) / y = R(x,y / z,z).
T(1,x) = x \ x.
T(x,1) = 1 \ x.
1 \ x = T(x,1).
T(x,x) = x.
x * T(y,x) = y * x.
T(x,x \ y) = (x \ y) \ y.
T(x / y,y) = y \ x.
L(x,x,x) = T(x,x * x).
T(x,x * x) = L(x,x,x).
T(T(T(x,y),z),u) = T(T(T(x,z),u),y).
T(T(T(x,y),z),u) = T(T(T(x,u),y),z).
L(L(x,y,z),u,w) * v5 = L(L(x,u,w),y,z) * v5.
L(L(L(x,y,z),u,w),v5,v6) = L(L(L(x,u,w),v5,v6),y,z).
L(L(L(x,y,z),u,w),v5,v6) = L(L(L(x,v5,v6),y,z),u,w).
x * y != z | x = z / y.
R(x,y,z) = R(x * u,y,z) / R(u,y,z).
R(x * y,z,u) / R(y,z,u) = R(x,z,u).
x * y != z | y = x \ z.
R(x,y,z) = R(u,y,z) \ R(u * x,y,z).
R(x,y,z) \ R(x * u,y,z) = R(u,y,z).
L(R(x,y,z),R(u,y,z),w) = (w * R(u,y,z)) \ (w * R(u * x,y,z)).
(x * R(y,z,u)) \ (x * R(y * w,z,u)) = L(R(w,z,u),R(y,z,u),x).
R(x,y,z) * R(R(u,y,z),w,v5) = R(x * R(u,w,v5),y,z).
K(x,x) = 1.
T(x,y) = T(T(x,y),x).
T(T(x,y),x) = T(x,y).
((x * y) * z) / a(x,y,z) = x * (y * z).
(x * y) / K(x,y) = y * x.
(x * (y * z)) / L(z,y,x) = x * y.
(x * y) / T(x,y) = y.
R(x,y,z) \ ((x * y) * z) = y * z.
T(1,x) = 1.
T(x,1) = x.
(x \ y) * T(x,x \ y) = y.
x * T(y / x,x) = y.
x * y != y * z | T(x,y) = z.
x * y != z * x | T(z,x) = y.
a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)).
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)).
K(T(x,y),y) = (x * y) \ (T(x,y) * y).
(x * y) \ (T(x,y) * y) = K(T(x,y),y).
L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
L(T(x,y),y,z) = (z * y) \ (z * (x * y)).
(x * y) \ (x * (z * y)) = L(T(z,y),y,x).
R(x,T(y,x),z) = ((y * x) * z) / (T(y,x) * z).
((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z).
R(x,y,T(z,y)) = ((x * y) * T(z,y)) / (z * y).
((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)).
T(x,T(y,x)) = T(y,x) \ (y * x).
T(x,y) \ (x * y) = T(y,T(x,y)).
x * T(T(y,x),z) = T(y,z) * x.
x * L(T(y,x),z,u) = L(y,z,u) * x.
x * R(T(y,x),z,u) = R(y,z,u) * x.
T(R(x,y,z),y * z) = (y * z) \ ((x * y) * z).
(x * y) \ ((z * x) * y) = T(R(z,x,y),x * y).
T(x \ y,z) = T(T(y / x,z),x).
T(T(x / y,z),y) = T(y \ x,z).
K(T(x,y),x) = 1.
T(x,T(x,y)) = x.
T(T(x,y),z) = T(T(T(x,y),z),x).
T(T(T(x,y),z),x) = T(T(x,y),z).
x * T(x,y) = T(x,y) * x.
T(x,y) * x = x * T(x,y).
K(x \ y,y / x) = 1.
T(x / y,y \ x) = x / y.
x / T(y,y \ x) = y \ x.
(x * y) / T(y,T(x,y)) = T(x,y).
T(x \ y,y / x) = x \ y.
K((x \ y) \ y,x) = 1.
K(x,y / (y / x)) = 1.
T((x \ y) \ y,x) = (x \ y) \ y.
T(x,y / (y / x)) = x.
T(x / (x / y),y) = x / (x / y).
T(x,(y * x) / y) = x.
(x / (x / y)) * y = y * (x / (x / y)).
T((x * y) / x,y) = (x * y) / x.
T(L(x,x,x),y) = T(T(x,y),x * x).
T(T(x,y),x * x) = T(L(x,x,x),y).
x * K(y \ x,y) = (y \ x) * y.
x * K(y,x / y) = y * (x / y).
x * y != (y * x) * z | K(x,y) = z.
(x * y) * z != y * x | K(y,x) = z.
K(x * y,K(y,x)) = (K(y,x) * (x * y)) \ (y * x).
(K(x,y) * (y * x)) \ (x * y) = K(y * x,K(x,y)).
L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)).
(x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x).
R(x,y,K(y,x)) = (y * x) / (y * K(y,x)).
(x * y) / (x * K(x,y)) = R(y,x,K(x,y)).
T(x * y,K(y,x)) = K(y,x) \ (y * x).
K(x,y) \ (x * y) = T(y * x,K(x,y)).
T(x,x \ y) * z = ((x \ y) \ y) * z.
T((x \ y) \ y,z) = T(T(x,z),x \ y).
T(T(x,y),x \ z) = T((x \ z) \ z,y).
L((x \ y) \ y,z,u) = T(L(x,z,u),x \ y).
T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z).
R((x \ y) \ y,z,u) = T(R(x,z,u),x \ y).
T(R(x,y,z),x \ u) = R((x \ u) \ u,y,z).
R(T(x,R(x,y,z) \ u),y,z) = (R(x,y,z) \ u) \ u.
T(x,(x \ y) \ y) = x.
((x \ y) \ y) * x = x * ((x \ y) \ y).
x / K(y,y \ x) = (y \ x) * y.
x != (y \ x) * z | T(y,y \ x) = z.
(x \ y) * z != y | T(x,x \ y) = z.
L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y).
T(x \ y,T(x,x \ y)) = T(x,x \ y) \ y.
(x \ y) * (y / x) = (y / x) * (x \ y).
(x / y) * (y \ x) = (y \ x) * (x / y).
x / L(T(y,L(y,z,u) \ x),z,u) = L(y,z,u) \ x.
R(1,x,y) = 1.
(x * y) / y = R(x,1,y).
R(x,1,y) = x.
(x * y) / y = R(x,y,1).
R(x,y,1) = x.
K(x \ 1,x) = (x \ 1) * x.
a(x \ 1,x,y) = ((x \ 1) * (x * y)) \ (K(x \ 1,x) * y).
((x \ 1) * (x * y)) \ (K(x \ 1,x) * y) = a(x \ 1,x,y).
K(x \ 1,x) \ 1 = K(x,x \ 1).
K(x,1 / x) = x * (1 / x).
x \ K(x,1 / x) = 1 / x.
K(x,1 / x) \ 1 = K(1 / x,x).
x * T(x \ y,z) = T(y / x,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
(x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y).
T(x,T(T(x,y),z)) = x.
x * L(y,z \ x,z) = z * ((z \ x) * y).
x * L(y,z,x / z) = (x / z) * (z * y).
x * (y * z) != (x * y) * u | L(z,y,x) = u.
(x * y) * z != x * (y * u) | L(u,y,x) = z.
K(L(x,y,z),z * y) = (z * (y * x)) \ (L(x,y,z) * (z * y)).
(x * (y * z)) \ (L(z,y,x) * (x * y)) = K(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 * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y).
L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))).
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
R(x,y,L(z,y,x)) = (x * (y * z)) / (y * L(z,y,x)).
(x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)).
R(x,y * z,L(u,z,y)) = ((x * (y * z)) * L(u,z,y)) / (y * (z * u)).
((x * (y * z)) * L(u,z,y)) / (y * (z * u)) = R(x,y * z,L(u,z,y)).
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
(x * y) * L(z,T(x,y),y) = y * (T(x,y) * z).
L(x \ 1,x,y) = (y * x) \ y.
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(x \ (y \ z),x,y) = (y * x) \ z.
L(x \ y,x,z / x) = z \ ((z / x) * y).
L(a(x,y,z),x * (y * z),u) = (u * (x * (y * z))) \ (u * ((x * y) * z)).
(x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x).
T(x,x * y) = L(y \ (x * y),y,x).
L(x \ (y * x),x,y) = T(y,y * x).
L(T(x \ y,z),x,u) = T((u * x) \ (u * y),z).
T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x).
L((x * y) \ (x * z),u,w) = L(L(y \ z,u,w),y,x).
L(L(x \ y,z,u),x,w) = L((w * x) \ (w * y),z,u).
(x * y) / L(z \ y,z,x) = x * z.
L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
L(x \ K(y,z),x,z * y) = ((z * y) * x) \ (y * z).
L(x \ y,x,x \ 1) = K(x \ 1,x) \ ((x \ 1) * y).
K(x \ 1,x) \ ((x \ 1) * y) = L(x \ y,x,x \ 1).
L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u).
L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)).
L(L(x \ y,x,z),z * x,u) = (u * (z * x)) \ (u * (z * y)).
L(x \ 1,x,y) * z = ((y * x) \ y) * z.
L(x \ 1,x,y / x) = y \ (y / x).
L(T(x \ 1,y),x,z) = T((z * x) \ z,y).
T((x * y) \ x,z) = L(T(y \ 1,z),y,x).
L(R(x \ 1,y,z),x,u) = R((u * x) \ u,y,z).
R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x).
L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x).
L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z).
x / L(y \ 1,y,x) = x * y.
L(x,1 / x,y) = (y * (1 / x)) \ y.
L(x \ 1,x,x \ 1) = K(x \ 1,x) \ (x \ 1).
K(x \ 1,x) \ (x \ 1) = L(x \ 1,x,x \ 1).
x / L(y,1 / y,x) = x * (1 / y).
R(x,y,y \ z) * z = (x * y) * (y \ z).
R(x,y / z,z) * y = (x * (y / z)) * z.
(x * y) * z != u * (y * z) | R(x,y,z) = u.
a(R(x,y,z),y,z) = ((x * y) * z) \ ((R(x,y,z) * y) * z).
((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z).
K(x * y,R(z,x,y)) = ((z * x) * y) \ ((x * y) * R(z,x,y)).
((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)).
K(R(x,y,z),y * z) = ((y * z) * R(x,y,z)) \ ((x * y) * z).
((x * y) * R(z,x,y)) \ ((z * x) * y) = K(R(z,x,y),x * y).
R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u).
(((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u).
L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z.
R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z.
R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y).
R(x,y,1 / y) * K(y,1 / y) = (x * y) * (1 / y).
R(1 / x,x,y) = y / (x * y).
R(x / y,y,x \ z) = z / (y * (x \ z)).
R(x / y,y,y \ z) = (x * (y \ z)) / z.
R((x / y) / z,z,y) = x / (z * y).
R(x / (y / z),y / z,z) = (x * z) / y.
R(T(x / y,z),y,u) = T((x * u) / (y * u),z).
T((x * y) / (z * y),u) = R(T(x / z,u),z,y).
R(x / y,y,z) \ (x * z) = y * z.
R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y).
T(R(x / y,y,z),y * z) = (y * z) \ (x * z).
R((x * y) / z,z,L(u,y,x)) = (x * (y * u)) / (z * L(u,y,x)).
R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)).
R(1 / x,x,y) * z = (y / (x * y)) * z.
x * R(1 / y,y,z) = x * (z / (y * z)).
R(1 / x,x,x \ y) = (x \ y) / y.
R(T(1 / x,y),x,z) = T(z / (x * z),y).
T(x / (y * x),z) = R(T(1 / y,z),y,x).
L(x / (y * x),z,u) = R(L(1 / y,z,u),y,x).
R(L(1 / x,y,z),x,u) = L(u / (x * u),y,z).
R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x).
R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z).
R(x,x \ 1,y) = y / ((x \ 1) * y).
R(1 / x,x,y) \ y = x * y.
R(1 / x,x,T(y,x)) = T(y,x) / (y * x).
R(1 / x,x,1 / x) = (1 / x) / K(x,1 / x).
(1 / x) / K(x,1 / x) = R(1 / x,x,1 / x).
R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z).
R(x,x \ 1,y) \ y = (x \ 1) * y.
R(x \ 1,T(x,x \ 1),y) \ y = T(x,x \ 1) * y.
R((x \ 1) * x,K(x,x \ 1),y) \ y = K(x,x \ 1) * y.
(x * y) / L(z,y / z,x) = x * (y / z).
R(x,x \ y,z) \ (y * z) = (x \ y) * z.
R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z).
R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z.
R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z.
R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u.
L(T(x,y),x,x) = T(T(x,y),x * x).
T(T(x,y),x * x) = L(T(x,y),x,x).
L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u).
L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w).
L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x).
L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w).
L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z.
L(T(x,y),y,x) = T(x,x * y).
L(T(T(x,y),z),y,x) = T(T(x,x * y),z).
L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u).
x / L(y \ z,y,x / z) = (x / z) * y.
L(x,1 / x,y / (1 / x)) = y \ (y / (1 / x)).
(x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x).
R(T((x / y) / z,u),z,y) = T(x / (z * y),u).
(x / (y * z)) * R(u,y,z) = R(((x / z) / y) * u,y,z).
R(((x / y) / z) * u,z,y) = (x / (z * y)) * R(u,z,y).
R(x,x \ (y / z),z) = y / ((x \ (y / z)) * z).
R(x / y,y,x \ z) \ z = y * (x \ z).
R(1 / x,x,x \ 1) = x \ 1.
T(R(1 / x,x,x \ y),y) = y \ (x \ y).
R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z).
(x \ 1) * R(y,x,x \ 1) = R((1 / x) * y,x,x \ 1).
R((1 / x) * y,x,x \ 1) = (x \ 1) * R(y,x,x \ 1).
R(x,y,y \ 1) * (y \ 1) = R(x * (1 / y),y,y \ 1).
R(x * (1 / y),y,y \ 1) = R(x,y,y \ 1) * (y \ 1).
T(R(x,x \ 1,y),(x \ 1) * y) = ((x \ 1) * y) \ y.
(T(T(x,y),z) * u) / T(T(T(x,u),y),z) = u.
(x * y) \ (T(y,T(x,y)) * T(x,y)) = K(T(y,T(x,y)),T(x,y)).
x * L(x \ (y * x),z,u) = L(y,z,u) * x.
x * L(L(T(y,x),z,u),w,v5) = L(L(y,z,u),w,v5) * x.
x * L(x,y,z) = L(x,y,z) * x.
L(x,y,z) * x = x * L(x,y,z).
x * L(x \ y,z,u) = L(y / x,z,u) * x.
L(x / y,z,u) * y = y * L(y \ x,z,u).
x * L(T(x,y),z,u) = L(T(x,y),z,u) * x.
L(T(x,y),z,u) * x = x * L(T(x,y),z,u).
(x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y).
x * L(y / (y / x),z,u) = L(y / (y / x),z,u) * x.
L(x / (x / y),z,u) * y = y * L(x / (x / y),z,u).
L(x,y,z) * (z * y) = z * (y * T(x,z * y)).
x * (y * T(z,x * y)) = L(z,y,x) * (x * y).
x * T(y,y * x) = L(y,x,y) * x.
T(x,L(x,y,z)) = x.
(x * L(x,y,z)) / x = L(x,y,z).
R(L(x,y,z),x,u) = ((x * L(x,y,z)) * u) / (x * u).
((x * L(x,y,z)) * u) / (x * u) = R(L(x,y,z),x,u).
R(x / L(y,z,u),L(y,z,u),y) = (x * y) / (y * L(y,z,u)).
L(x,y,z) * L(x,u,w) = L(x,u,w) * L(x,y,z).
(x * T(y,y * x)) / x = L(y,x,y).
L(x,y,x) * y != y * z | T(x,x * y) = z.
x * T(y,y * x) != z * x | L(y,x,y) = z.
T(x,x * y) * T(y,T(x,x * y)) = L(x,y,x) * y.
x * R(R(T(y,x),z,u),w,v5) = R(R(y,z,u),w,v5) * x.
x * R(x,y,z) = R(x,y,z) * x.
R(x,y,z) * x = x * R(x,y,z).
x * R(x \ y,z,u) = R(y / x,z,u) * x.
R(x / y,z,u) * y = y * R(y \ x,z,u).
(x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y).
L(x,y,z) * R(x,u,w) = R(x,u,w) * L(x,y,z).
R(x,y,z) * L(x,u,w) = L(x,u,w) * R(x,y,z).
T(x,R(x,y,z)) = x.
((x \ y) \ y) \ (T(x,x \ y) * z) = z.
((x \ y) \ y) * z != u | T(x,x \ y) \ u = z.
R(x,(y \ z) \ z,y) * (y * ((y \ z) \ z)) = (x * ((y \ z) \ z)) * y.
(x * T(x \ y,z)) / x = T(y / x,z).
x * y != y * T(z,z * y) | x = L(z,y,z).
T(x / y,(y \ x) * y) = L(y \ x,y,y \ x).
((x \ y) \ y) \ z = T(x,x \ y) \ z.
T(x,x \ y) \ z = ((x \ y) \ y) \ z.
(x * T(y,z)) / x = T((x * y) / x,z).
T((x * y) / x,y * x) = L(y,x,y).
T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x).
(x * y) * a(x,y / z,z) = (x * (y / z)) * z.
T(x * (y * z),a(x,y,z)) = a(x,y,z) \ ((x * y) * z).
a(x,y,z) \ ((x * y) * z) = T(x * (y * z),a(x,y,z)).
((x * y) * z) / T(x * (y * z),a(x,y,z)) = a(x,y,z).
R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z).
L(x,y \ 1,y) = y * ((y \ 1) * x).
x * ((x \ 1) * y) = L(y,x \ 1,x).
x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y).
L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))).
x * L(y,z \ x,z) != z * u | u = (z \ x) * y.
x * L(y,z \ x,z) != z * u | (z \ x) * y = u.
x \ L(y,x \ 1,x) = (x \ 1) * y.
x * K(x \ 1,x) = L(x,x \ 1,x).
x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u).
L(K(x \ 1,x) \ 1,K(x \ 1,x),x) = L(x,x \ 1,x) \ x.
T((x * y) / x,x * y) = L(y,x,(x * y) / x).
L(x,y,1 / y) = (1 / y) * (y * x).
(1 / x) * (x * y) = L(y,x,1 / x).
(1 / x) \ L(y,x,1 / x) = x * y.
(1 / x) * y = L(x \ y,x,1 / x).
L(x \ y,x,1 / x) = (1 / x) * y.
(1 / x) * (y * x) = L(T(y,x),x,1 / x).
L(T(x,y),y,1 / y) = (1 / y) * (x * y).
(1 / x) * (R(y,z,u) * x) = L(R(T(y,x),z,u),x,1 / x).
L(R(T(x,y),z,u),y,1 / y) = (1 / y) * (R(x,z,u) * y).
L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u).
R(x,x \ y,y \ z) = z / ((x \ y) * (y \ z)).
R(x,y,y \ 1) = (x * y) * (y \ 1).
(x * y) * (y \ 1) = R(x,y,y \ 1).
T(R(x,y,y \ z),z) = z \ ((x * y) * (y \ z)).
x \ ((y * z) * (z \ x)) = T(R(y,z,z \ x),x).
R(x,y,y \ 1) / (y \ 1) = x * y.
(x * y) \ R(x,y,y \ 1) = y \ 1.
x * ((y \ x) \ 1) = R(y,y \ x,(y \ x) \ 1).
R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1).
x * (y \ 1) = R(x / y,y,y \ 1).
R(x / y,y,y \ 1) = x * (y \ 1).
R(x,y,y \ 1) != z * (y \ 1) | x * y = z.
T(x * y,y \ 1) = (y \ 1) \ R(x,y,y \ 1).
(x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1).
K(x,1 / x) * ((1 / x) \ 1) = R(x,1 / x,(1 / x) \ 1).
R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z).
R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1).
R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u).
(x * (y \ 1)) * R(z,y,y \ 1) = R((x / y) * z,y,y \ 1).
R(x,y,y \ 1) * (z * (y \ 1)) = R(x * (z / y),y,y \ 1).
R(T((x * y) / x,z),x,x \ 1) = (x * T(y,z)) * (x \ 1).
R(x,1 / y,y) = (x * (1 / y)) * y.
(x * (1 / y)) * y = R(x,1 / y,y).
R(x,1 / y,y) / y = x * (1 / y).
a(x,1 / y,y) = (x * ((1 / y) * y)) \ R(x,1 / y,y).
(x * ((1 / y) * y)) \ R(x,1 / y,y) = a(x,1 / y,y).
R(x,y,z) / R(u,y,z) = R(x / u,y,z).
R(x,y,z) \ R(u,y,z) = R(x \ u,y,z).
R(x * y,z,u) \ (R(y,z,u) * R(x,z,u)) = K(R(x,z,u) \ R(x * y,z,u),R(x,z,u)).
K(R(x,y,z) \ R(x * u,y,z),R(x,y,z)) = R(x * u,y,z) \ (R(u,y,z) * R(x,y,z)).
x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y.
(x / y) * (y * T(z,x)) = L(z,y,x / y) * x.
L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u).
L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w).
L(x \ (y * z),u,w) = L(L((y \ x) \ z,u,w),y \ x,y).
L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w).
L(x \ 1,x,y) \ (((y * x) \ y) * z) = z.
(x * (y * T(y \ 1,z))) / T((x * y) \ x,z) = x * y.
L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z).
T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)).
T(x / (y * x),y) = R(y \ 1,y,x).
T(x / (y * x),z) \ ((T(1 / y,z) * y) * x) = y * x.
T(x / ((1 / x) * x),y) / x = T(1 / (1 / x),y) * (1 / x).
T((x \ y) / y,x) = R(x \ 1,x,x \ y).
T(x / y,y / x) = R((y / x) \ 1,y / x,x).
R((x / y) \ 1,x / y,y) = T(y / x,x / y).
x * R(x \ 1,x,y) = (y / (x * y)) * x.
(x / (y * x)) * y = y * R(y \ 1,y,x).
T(R(x \ 1,x,y),x * y) = T((x * y) \ y,x).
R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z).
L(R(x,L(x,y,z) \ u,w),y,z) \ (u * w) = (L(x,y,z) \ u) * w.
(x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)).
x * L(x \ (y \ x),z,u) = L(R(1 / y,y,y \ x),z,u) * x.
L(R(1 / x,x,x \ y),z,u) * y = y * L(y \ (x \ y),z,u).
L(R(T(x,y),z,u),y,1 / y) = R((1 / y) * (x * y),z,u).
R(x,y,z) / L(R(u,y,z),w,v5) = R(x / L(u,w,v5),y,z).
1 / R(x,y,z) = R(1 / x,y,z).
R(1 / x,y,z) = 1 / R(x,y,z).
R(1 / L(x,y,z),u,w) = 1 / L(R(x,u,w),y,z).
R(1 / x,y,z) \ 1 = R(x,y,z).
1 / R(x,x,y) = y / (x * y).
R(1 / (1 / x),x,y) = 1 / (y / (x * y)).
R(R(1 / x,y,z),R(x,y,z),R(x,y,z) \ u) = (R(x,y,z) \ u) / u.
(x / (y * x)) \ 1 = R(y,y,x).
R(x,x,y) = (y / (x * y)) \ 1.
x * R(y,y,z) = x * ((z / (y * z)) \ 1).
R(x,x,x \ y) = ((x \ y) / y) \ 1.
R(x / y,x / y,y) = (y / x) \ 1.
L((x / (y * x)) \ 1,z,u) = R(L(y,z,u),y,x).
R(L(x,y,z),x,u) = L((u / (x * u)) \ 1,y,z).
((x / (y * x)) \ 1) * R(z,y,x) = R(y * z,y,x).
R(x,y,z) / ((z / (y * z)) \ 1) = R(x / y,y,z).
R(x,y,z) \ 1 = R(x \ 1,y,z).
R(x \ 1,y,z) = R(x,y,z) \ 1.
(x \ 1) \ 1 = R(x,x,x \ 1).
R(x,x,x \ 1) = (x \ 1) \ 1.
R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z).
((x / ((1 / y) * x)) \ 1) \ 1 = R(y,1 / y,x).
R(x,1 / x,y) = ((y / ((1 / x) * y)) \ 1) \ 1.
R((x \ 1) \ 1,y,z) = R(R(x,y,z),x,x \ 1).
R(R(x,y,z),x,x \ 1) = R((x \ 1) \ 1,y,z).
((x \ 1) \ 1) * R(y,x,x \ 1) = R(x * y,x,x \ 1).
T(x,x \ 1) = R(x,x,x \ 1).
R(x,x,x \ 1) = T(x,x \ 1).
((x \ 1) \ 1) / (x \ 1) = x * x.
R(L(x,y,z) \ 1,u,w) = L(R(x,u,w),y,z) \ 1.
R((x / y) \ 1,y,y \ 1) = (x * (y \ 1)) \ 1.
R((x / y) \ 1,y,x \ 1) = y * (x \ 1).
R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1.
R(x \ 1,x,x \ 1) = ((x \ 1) \ 1) \ 1.
R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1.
((x / y) \ 1) * y = ((y / x) * (y / x)) * x.
((x / y) * (x / y)) * y = ((y / x) \ 1) * x.
R((x / y) \ 1,x / y,y) = ((y / x) \ 1) \ 1.
L(R(x,y,z),u,w) \ R(v5,y,z) = R(L(x,u,w) \ v5,y,z).
R(x,y,z) \ L(R(u,y,z),w,v5) = R(x \ L(u,w,v5),y,z).
R(R(x,y,z),u,w) \ R(v5,y,z) = R(R(x,u,w) \ v5,y,z).
R(x,y,z) \ R(R(u,y,z),w,v5) = R(x \ R(u,w,v5),y,z).
(x / (y * z)) \ R(u,y,z) = R(((x / z) / y) \ u,y,z).
R(((x / y) / z) \ u,z,y) = (x / (z * y)) \ R(u,z,y).
R(x,y,y \ 1) \ (z * (y \ 1)) = R(x \ (z / y),y,y \ 1).
L(x \ 1,x,y) \ z = ((y * x) \ y) \ z.
T(x \ 1,x) = R(x \ 1,x,x \ 1).
R(x \ 1,x,x \ 1) = T(x \ 1,x).
x * R(x \ 1,x,x \ y) = ((x \ y) / y) * x.
((x \ y) / y) * x = x * R(x \ 1,x,x \ y).
T(R(x \ 1,x,x \ y),y) = T(y \ (x \ y),x).
x * y != ((z * y) / u) * u | x = z.
(x * R(y,y,z)) / ((z / (y * z)) \ 1) = x.
(x * (y \ 1)) * R(z,x,y \ 1) = R(((y / x) \ 1) * z,x,y \ 1).
R(((x / y) \ 1) * z,y,x \ 1) = (y * (x \ 1)) * R(z,y,x \ 1).
((x \ 1) \ 1) \ 1 = T(x \ 1,x).
T(x \ 1,x) = ((x \ 1) \ 1) \ 1.
x * (((x \ 1) \ 1) \ 1) = (x \ 1) * x.
K(x \ 1,x) = x * (((x \ 1) \ 1) \ 1).
x * (((x \ 1) \ 1) \ 1) = K(x \ 1,x).
L(T(x,x \ y),z,u) = L((x \ y) \ y,z,u).
(R(x,y,z) * (x \ u)) / R((x \ u) \ u,y,z) = x \ u.
(x \ y) * (y \ (x * (z * (x \ y)))) = L(z,x \ y,x) * (x \ y).
(x * L(x \ y,z,u)) / x = L(y / x,z,u).
L(x / y,z,u) \ (y * L(y \ x,z,u)) = y.
R(L(x / (y / z),u,w),y / z,z) * y = ((y / z) * L((y / z) \ x,u,w)) * z.
(x * R(x \ y,z,u)) / x = R(y / x,z,u).
((x * y) / (z * y)) * z = z * R(z \ x,z,y).
R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w).
R(R(1 / x,x,y),z,u) * (x * y) = (x * y) * R((x * y) \ y,z,u).
R(R(x / y,z,u),y,y \ 1) / (y \ 1) = y * R(y \ x,z,u).
R(R(x,y,K(y,x)),z,u) * (y * K(y,x)) = (y * K(y,x)) * R((y * K(y,x)) \ (y * x),z,u).
(x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)).
((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z).
(x * L(y,z,u)) / x = L((x * y) / x,z,u).
L((x * y) / x,z,u) = (x * L(y,z,u)) / x.
(x * ((y * x) \ y)) / x = L(1 / x,x,y).
(x * R(y,z,u)) / x = R((x * y) / x,z,u).
R((x * y) / x,z,u) = (x * R(y,z,u)) / x.
R((x * y) / x,y,y \ 1) = (x * ((y \ 1) \ 1)) / x.
x \ ((y * z) * (z \ (y \ x))) = a(y,z,z \ (y \ x)).
((x / y) * z) \ (x * (y \ z)) = a(x / y,y,y \ z).
a(x / y,y,y \ z) = ((x / y) * z) \ (x * (y \ z)).
(x * ((x \ y) * (y \ z))) \ z = a(x,x \ y,y \ z).
L(x,y \ 1,y) \ (1 * x) = a(y,y \ 1,x).
L(x,y \ 1,y) \ x = a(y,y \ 1,x).
((x * (x \ 1)) \ y) \ ((x \ 1) \ (x \ y)) = a(x,x \ 1,(x \ 1) \ (x \ y)).
R(x,y,T(x,y)) = T(((x * y) * x) / (x * y),y).
T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)).
R(T(x,y * z),y,z) = (y * z) \ ((x * y) * z).
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w).
(x * y) * R((x * y) \ x,z,u) = x * (y * R(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)).
L((x * y) \ x,z,u) = L(L(y \ 1,y,x),z,u).
L(L(x \ 1,x,y),z,u) = L((y * x) \ y,z,u).
L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y).
x * y != R(z,u,w) * x | y = R(T(z,x),u,w).
T(x,y) = R(T(x,x * y),y,T(x,y)).
R(T(x,x * y),y,T(x,y)) = T(x,y).
R(T(x / y,y * z),y,z) = (y * z) \ (x * z).
T((x * y) / (z * y),z) = R(z \ x,z,y).
T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z).
T(x / (y * z),y) = R(y \ (x / z),y,z).
R(x \ (y / z),x,z) = T(y / (x * z),x).
T((x * y) / z,z / y) = R((z / y) \ x,z / y,y).
R((x / y) \ z,x / y,y) = T((z * y) / x,x / y).
R(x,y,z) \ L(z / (y * z),u,w) = R(x \ L(1 / y,u,w),y,z).
R(R(1 / x,x * y,z),x,y) = (y * z) / ((x * y) * z).
(x * y) * R(T(x,x * y),z,u) = x * (y * R(T(x,y),z,u)).
x \ (L(y,z,x) * (x * z)) = z * T(y,x * z).
x * (y * T(z,x * y)) != u * (x * y) | L(z,y,x) = u.
x * (T(y,x * z) * z) = L(T(y,z),z,x) * (x * z).
L(T(x,y),y,z) * (z * y) = z * (T(x,z * y) * y).
R(T(x,y),z,z \ y) = y \ ((x * z) * (z \ y)).
x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x).
R(x \ y,x,x \ 1) = T(y * (x \ 1),x).
T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y.
R(x,y,y \ 1) = T((y * x) * (y \ 1),y).
T((x * y) * (x \ 1),x) = R(y,x,x \ 1).
T(R(x,y,y \ 1),z) = T(T((y * x) * (y \ 1),z),y).
T(T((x * y) * (x \ 1),z),x) = T(R(y,x,x \ 1),z).
(x / y) \ (L(z,y,x / y) * x) = y * T(z,x).
R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)).
R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x).
L(R(x,x,y),z,u) = L((y / (x * y)) \ 1,z,u).
((x / y) \ 1) \ 1 = T(x / y,y / x).
T(x / y,y / x) = ((x / y) \ 1) \ 1.
T(x / y,y / x) * z = (((x / y) \ 1) \ 1) * z.
T(x,y / (x * y)) = (((x * y) / y) \ 1) \ 1.
T(x,y / (x * y)) = (x \ 1) \ 1.
R(T(x \ 1,y),x,x \ y) = T(y \ (x \ y),x).
(((x * y) * z) / (x * z)) * x = x * R(y,x,z).
(x * T(y,z * x)) \ (y * (z * x)) = R(T(z,x * T(y,z * x)),x,T(y,z * x)).
R(T(x,y * T(z,x * y)),y,T(z,x * y)) = (y * T(z,x * y)) \ (z * (x * y)).
x \ (y * ((z \ y) \ x)) = R(T(z,x),z \ y,(z \ y) \ x).
R(T(x,y),x \ z,(x \ z) \ y) = y \ (z * ((x \ z) \ y)).
R(T(x / y,x),y,y \ x) = y \ x.
R(T((x * y) / x,x * y),x,x \ (x * y)) = y.
R(T(x / (x / y),x),x / y,(x / y) \ x) = y.
R(L(x,y,(y * x) / y),y,y \ (y * x)) = x.
R(L(x,y,(y * x) / y),y,x) = x.
L(R(x,y,x),y,(y * x) / y) = x.
L(T(x \ 1,x),x,(x * (x \ 1)) / x) = x \ 1.
R(T(x / (x / y),x),x / y,y) = y.
x * y = (T(y / (y / x),y) * (y / x)) * x.
(T(x / (x / y),x) * (x / y)) * y = y * x.
((x / y) * T((x / y) \ x,x)) * y = y * x.
((x / y) * T(y,x)) * y = y * x.
(x * y) / x = (y / x) * T(x,y).
(x / y) * T(y,x) = (y * x) / y.
((x * y) / x) / T(x,y) = y / x.
(x / y) \ ((y * x) / y) = T(y,x).
T(x,y) = (y / x) \ ((x * y) / x).
x * T(y,x * y) = (y * (x * y)) / y.
(x * (y * x)) / x = y * T(x,y * x).
T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y).
T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)).
(x * y) * T(y \ 1,R(x,y,y \ 1)) = ((y \ 1) * R(x,y,y \ 1)) / (y \ 1).
((x \ 1) * R(y,x,x \ 1)) / (x \ 1) = (y * x) * T(x \ 1,R(y,x,x \ 1)).
((x * y) / y) / T(y,T(x,y)) = T(x,y) / y.
T(x,x \ y) = ((x \ y) / x) \ (y / x).
((x \ y) / x) \ (y / x) = T(x,x \ y).
T(x,y * x) = y \ ((x * (y * x)) / x).
x \ ((y * (x * y)) / y) = T(y,x * y).
T(x * T(y,x * y),y) = y \ (y * (x * y)).
T((x * T(y,x * y)) / x,T(y,x * y)) = ((y * (x * y)) / y) / x.
(x * x) \ (1 / (x \ 1)) = T(x \ 1,(x \ 1) \ 1).
T(x \ 1,(x \ 1) \ 1) = (x * x) \ (1 / (x \ 1)).
R(T(x,y * x),y,x) = T((x * (y * x)) / (y * x),y).
T((x * (y * x)) / (y * x),y) = R(T(x,y * x),y,x).
x / T(y,T(x,y)) = T(x,y) / y.
T(x * T(y,x * y),y) = x * y.
T(x * T(T(y,x),x * T(y,x)),T(y,x)) = y * x.
L(T(x \ 1,x),x,1 / x) = x \ 1.
x \ 1 = (1 / x) * ((x \ 1) * x).
(1 / x) * ((x \ 1) * x) = x \ 1.
(1 / x) * K(x \ 1,x) = x \ 1.
(1 / x) \ (x \ 1) = K(x \ 1,x).
x \ ((x \ 1) \ 1) = K((x \ 1) \ 1,x \ 1).
K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1).
(x \ ((x \ 1) \ 1)) \ 1 = K(x \ 1,(x \ 1) \ 1).
K(x \ 1,(x \ 1) \ 1) = (x \ ((x \ 1) \ 1)) \ 1.
L(L(x,y,z),u,w) * (L(L(x,u,w),y,z) \ v5) = v5.
T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x.
T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y).
T(x \ 1,(x \ 1) \ 1) = (x * x) \ x.
(x * x) \ x = ((x \ 1) \ 1) \ 1.
((x \ 1) \ 1) \ 1 = (x * x) \ x.
T(x \ 1,x) = (x * x) \ x.
x / T(x \ 1,x) = x * x.
L(x \ 1,x,x) = T(x \ 1,x).
x * L((x * x) \ x,y,z) = L(x \ 1,y,z) * x.
(x * T(x \ 1,x)) / x = L(1 / x,x,x).
T(x \ 1,x) \ y = ((x * x) \ x) \ y.
((x \ 1) * x) / x = L(1 / x,x,x).
L(1 / x,x,x) = x \ 1.
L(T(1 / x,y),x,x) = T(x \ 1,y).
L(R(1 / x,y,z),x,x) = R(x \ 1,y,z).
L(x \ 1,y,z) = L(L(1 / x,y,z),x,x).
L(L(1 / x,y,z),x,x) = L(x \ 1,y,z).
(x * x) * (x \ 1) = x * (x * (1 / x)).
L(L(1 / x,x,x),x,y) = (y * x) \ y.
(x * x) * T(x \ 1,y) = x * (x * T(1 / x,y)).
x * (x * (1 / x)) = R(x,x,x \ 1).
x * (x * (1 / x)) = (x \ 1) \ 1.
(x * x) * R(x \ 1,y,z) = x * (x * R(1 / x,y,z)).
L(L(1 / (x \ y),x \ y,x),x \ y,x \ y) = y \ (x * 1).
T(x * T(T(y,x),y * x),T(y,x)) = y * x.
T(T(x,x * y) * y,T(x,y)) = x * y.
(x \ y) * ((z * (x \ y)) \ (z * y)) = L(x,x \ y,z) * (x \ y).
L(x,x \ y,z) * (x \ y) = (x \ y) * ((z * (x \ y)) \ (z * y)).
(x * y) * L(L(L(z,y,x),u,w),v5,v6) = x * (y * L(L(z,u,w),v5,v6)).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
(x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)).
(x * x) * ((y * x) \ y) = x * (x * L(1 / x,x,y)).
x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z).
(x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)).
R(T(x,(x \ 1) * y),x \ 1,y) = ((x \ 1) * y) \ y.
L(R(x,x,y),z,u) = ((x * L(x,z,u)) * y) / (x * y).
((x * L(x,y,z)) * u) / (x * u) = L(R(x,x,u),y,z).
x \ L(L(T(y,x \ 1),x \ 1,x),z,u) = L(y,z,u) * (x \ 1).
(1 / x) \ R((1 / x) * y,z,u) = x * R(x \ y,z,u).
R(R(((x \ 1) \ 1) / x,y,z),x,x \ 1) = R(K((x \ 1) \ 1,x \ 1),y,z).
x \ T(1 \ (x * y),z) = (x \ 1) * T((x \ 1) \ y,z).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(1 \ (x * y),z).
a(x,y,y \ (x \ 1)) = (x * y) * (y \ (x \ 1)).
(x * y) * (y \ (x \ 1)) = a(x,y,y \ (x \ 1)).
a(x,y,y \ (x \ 1)) / (y \ (x \ 1)) = x * y.
x * ((y \ x) \ (y \ 1)) = a(y,y \ x,(y \ x) \ (y \ 1)).
a(x,x \ y,(x \ y) \ (x \ 1)) = y * ((x \ y) \ (x \ 1)).
x * (y \ ((x / y) \ 1)) = a(x / y,y,y \ ((x / y) \ 1)).
a(x / y,y,y \ ((x / y) \ 1)) = x * (y \ ((x / y) \ 1)).
R(T(x,y),z,z \ 1) = T(T((z * x) * (z \ 1),y),z).
T(T((x * y) * (x \ 1),z),x) = R(T(y,z),x,x \ 1).
T(x,y) = R(T(x,y * x),y,x).
R(T(x,y * x),y,x) = T(x,y).
R(T(x,y),y / x,x) = T(x,y / x).
R(((x / (y \ z)) / y) * u,y,y \ z) = (x / z) * R(u,y,y \ z).
T(x / (y * z),R(u,y,z)) = R(u,y,z) \ R(((x / z) / y) * u,y,z).
R(x,y,z) \ R(((u / z) / y) * x,y,z) = T(u / (y * z),R(x,y,z)).
R(x,y \ 1,R(z,y,y \ 1)) = ((x * (y \ 1)) * R(z,y,y \ 1)) / R((1 / y) * z,y,y \ 1).
((x * (y \ 1)) * R(z,y,y \ 1)) / R((1 / y) * z,y,y \ 1) = R(x,y \ 1,R(z,y,y \ 1)).
(x * (1 / y)) * y = R(x,y,y \ 1).
R(x,y,y \ 1) / y = x * (1 / y).
x * y = R(x / (1 / y),y,y \ 1).
R(x / (1 / y),y,y \ 1) = x * y.
T(x * (1 / y),y) = y \ R(x,y,y \ 1).
x \ R(y,x,x \ 1) = T(y * (1 / x),x).
R(x,y,y \ 1) = R(x,1 / y,y).
R(x,1 / y,y) = R(x,y,y \ 1).
R(x,y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1).
R(x,y \ 1,(y \ 1) \ 1) = R(x,y,y \ 1).
L(R(x,y,y \ 1),z,u) / y = L(x,z,u) * (1 / y).
R(R(x,y,y \ 1),z,u) / y = R(x,z,u) * (1 / y).
(x \ 1) / x = (1 / x) * (1 / x).
(1 / x) * (1 / x) = (x \ 1) / x.
(x * (y \ 1)) / y = (x / y) * (1 / y).
(1 / x) \ ((x \ 1) / x) = 1 / x.
R(T(x / (1 / y),z),y,y \ 1) = T(x * y,z).
R(x * y,z,u) = R(R(x / (1 / y),z,u),y,y \ 1).
R(R(x / (1 / y),z,u),y,y \ 1) = R(x * y,z,u).
(x * y) / (y \ 1) = (x / (1 / y)) * y.
(x * y) / R(z,y,y \ 1) = R((x / (1 / y)) / z,y,y \ 1).
R((x / (1 / y)) / z,y,y \ 1) = (x * y) / R(z,y,y \ 1).
R(x,y,y \ 1) \ (z * y) = R(x \ (z / (1 / y)),y,y \ 1).
R(x \ (y / (1 / z)),z,z \ 1) = R(x,z,z \ 1) \ (y * z).
x / y = ((x / (y \ 1)) / y) * (1 / y).
((x / (y \ 1)) / y) * (1 / y) = x / y.
(x * y) / (1 / y) = (x / (1 / y)) * (1 / (1 / y)).
(x / (1 / y)) * (1 / (1 / y)) = (x * y) / (1 / y).
T((x / y) * (1 / y),y) = y \ (x * (y \ 1)).
((x * y) / (y \ 1)) / y = x / (1 / y).
x / (y \ 1) = ((x / y) / (1 / y)) * y.
((x / y) / (1 / y)) * y = x / (y \ 1).
(x / y) / (1 / y) = (x / (y \ 1)) / y.
(x / (y \ 1)) / y = (x / y) / (1 / y).
T((x / y) / (1 / y),y) = y \ (x / (y \ 1)).
x \ R(L(y,1 / x,y),x,x \ 1) = T((1 / x) * T(y,y * (1 / x)),x).
T((1 / x) * T(y,y * (1 / x)),x) = x \ R(L(y,1 / x,y),x,x \ 1).
R(x / (y \ 1),y,y \ 1) = x * ((y \ 1) \ 1).
T(x * y,z) / (y \ 1) = T(x / (1 / y),z) * y.
(x * ((y \ 1) \ 1)) / y = (x / (y \ 1)) * (1 / y).
L(R(x / (1 / y),y,y \ 1),z,u) / y = (1 / y) * L((1 / y) \ x,z,u).
R(R(x,y,y \ 1),z,u) / y != w * (1 / y) | R(x,z,u) = w.
x * R(R(x,y,z),u,w) = R(R(x,y,z),u,w) * x.
R(R(x,y,z),u,w) * x = x * R(R(x,y,z),u,w).
T(x \ 1,x) * R(((x * x) \ x) \ x,y,z) = R(x * x,y,z) * ((x * x) \ x).
(x * 1) \ R(x,1 / y,y) = a(x,1 / y,y).
x \ R(x,1 / y,y) = a(x,1 / y,y).
x * a(x,1 / y,y) = R(x,1 / y,y).
T(x / (y * x),z) \ ((y * T(y \ 1,z)) * x) = y * x.
x * (y * T(T(x,y),z)) = T(x,z) * (x * y).
x * (T(x,y) * z) = T(x,y) * (x * z).
T(x,y) * (x * z) = x * (T(x,y) * z).
T(x,y) \ (x * (T(x,y) * z)) = x * z.
T(x,y) * z = x * (T(x,y) * (x \ z)).
x * (T(x,y) * (x \ z)) = T(x,y) * z.
T(x / y,z) * x = (x / y) * (T(x / y,z) * y).
(x / y) * (T(x / y,z) * y) = T(x / y,z) * x.
(x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z).
(x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z).
T(x,y) \ (x * z) = x * (T(x,y) \ z).
(T(x,y) * z) / (T(x,y) * (x \ z)) = x.
x \ (T(x,y) * z) = T(x,y) * (x \ z).
x * y != z * L(u,x \ z,x) | y = (x \ z) * u.
T(x,y) * (x \ L(z,x \ T(x,y),x)) = (x \ T(x,y)) * z.
T(x,T(x,y) * (x \ z)) = (T(x,y) * (x \ z)) \ (T(x,y) * z).
(T(x,y) * (x \ z)) \ (T(x,y) * z) = T(x,T(x,y) * (x \ z)).
T(x,y) \ x = x * (T(x,y) \ 1).
x * (T(x,y) \ 1) = T(x,y) \ x.
T(x,y) \ z = x * (T(x,y) \ (x \ z)).
x * (T(x,y) \ (x \ z)) = T(x,y) \ z.
x * (T(x,y) \ y) = T(y,T(x,y)).
x \ (T(x,y) \ x) = T(x,y) \ 1.
x * (((x \ 1) \ 1) \ 1) = T(x,y / (x * y)) \ x.
T(x,y / (x * y)) \ x = x * (((x \ 1) \ 1) \ 1).
x \ T(y,T(x,y)) = T(x,y) \ y.
(x / y) * ((y \ x) \ y) = T(y,T(x / y,y)).
x \ T(x,y) = T(x,y) * (x \ 1).
T(x,y) * (x \ 1) = x \ T(x,y).
x \ y = T(x,z) * (x \ (T(x,z) \ y)).
T(x,y) * (x \ (T(x,y) \ z)) = x \ z.
(x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y).
(x / y) * ((y \ x) \ y) = T(y,y \ x).
(x / y) \ T(y,y \ x) = (y \ x) \ y.
((x * y) / x) * (y \ x) = T(x,x \ (x * y)).
((x * y) / x) * (y \ x) = T(x,y).
T(x,y) = ((x * y) / x) * (y \ x).
T(x,y) / (y \ x) = (x * y) / x.
((x * y) / x) \ T(x,y) = y \ x.
T((x * y) / x,y \ x) = (y \ x) \ T(x,y).
T(x,R(y,y \ 1,x)) = ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x).
((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)).
T(x * y,x) / y = ((x * y) * x) / (x * y).
((x * y) * x) / (x * y) = T(x * y,x) / y.
T(x,x / y) / y = (x * (x / y)) / x.
((L(x,y,z) * u) / L(x,y,z)) \ L(T(x,u),y,z) = u \ L(x,y,z).
T(T(x,x / y) / y,x) = x \ (x * (x / y)).
T(R((x * y) / x,x,y),y \ (x * y)) = (y \ (x * y)) \ T(x * y,y).
T(T(x * y,x) / y,y) = R(x,y,T(x,y)).
R(x,y,T(x,y)) = y \ T(x * y,x).
x \ T(y * x,y) = R(y,x,T(y,x)).
x \ T(y,y / x) = R(y / x,x,T(y / x,x)).
R(x / y,y,T(x / y,y)) = y \ T(x,x / y).
L(R(x,y,T(x,y)),y,x) = (x * y) \ ((x * y) * x).
T(T(x,x / y) / y,x) = x / y.
T(T(R(x,y,y \ 1),R(x,y,y \ 1) / (y \ 1)) / (y \ 1),R(x,y,y \ 1)) = x * y.
R(x / y,y,y \ x) = y \ T(x,x / y).
R((x * y) / x,x,y) = x \ T(x * y,(x * y) / x).
x \ T(x * y,(x * y) / x) = R((x * y) / x,x,y).
R(x \ T(y,y / x),z,u) = R(R(y / x,z,u),x,x \ y).
R(R(x / y,z,u),y,y \ x) = R(y \ T(x,x / y),z,u).
x \ T(y,y / x) = (y * (x \ y)) / y.
(x / y) \ T(x,x / (x / y)) = (x * y) / x.
(x / y) * (y * T(y \ x,z)) = T(x / y,z) * x.
T(x,y / (x * y)) \ x = K(x \ 1,x).
((x \ 1) \ 1) \ x = K(x \ 1,x).
x / K(x \ 1,x) = (x \ 1) \ 1.
T(x,x \ 1) \ x = K(x \ 1,x).
K(x \ 1,x) * R((((x \ 1) \ 1) \ x) \ x,y,z) = R((x \ 1) \ 1,y,z) * (((x \ 1) \ 1) \ x).
L(R(x,y,T(x,y)),y,x) = x.
((1 / x) * (1 / x)) * R(x,y,z) = (1 / x) * ((1 / x) * R(1 / (1 / x),y,z)).
(1 / x) * ((1 / x) * R(1 / (1 / x),y,z)) = ((1 / x) * (1 / x)) * R(x,y,z).
x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z).
(1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z).
(1 / (1 / x)) \ (1 / (y / (x * y))) = (1 / x) * R((1 / x) \ 1,x,y).
(x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z).
x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1).
x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1).
x \ T(y,x \ 1) = ((x \ 1) \ (x \ y)) * (x \ 1).
((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1).
T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z.
K(x \ 1,x) = T(x / ((x \ 1) * x),y) \ (((x \ 1) * T((x \ 1) \ 1,y)) * x).
T(x / ((x \ 1) * x),y) \ (((x \ 1) * T((x \ 1) \ 1,y)) * x) = K(x \ 1,x).
(x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z).
(x / y) * z = (y \ x) * ((x / y) * ((y \ x) \ z)).
(x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z.
R(K(x \ 1,x),K(x,x \ 1),y) \ y = K(x,x \ 1) * y.
K(x \ (x / y),x) = y * T(y \ 1,x).
K(x \ (x / (y \ 1)),x) = y \ T(y,x).
K((x * (y \ 1)) \ x,x * (y \ 1)) = y \ T(y,x * (y \ 1)).
K(x,1 / x) * x = R(x,1 / x,(1 / x) \ 1).
R(x,1 / x,(1 / x) \ 1) = K(x,1 / x) * x.
(x * T(y,z)) * (x \ 1) = T((x * y) * (x \ 1),z).
T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1).
T((x * y) * (x \ 1),y) = (x * y) * (x \ 1).
x \ R(1 \ (x * y),z,u) = (x \ 1) * R((x \ 1) \ y,z,u).
(x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u).
x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)).
x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w).
R((1 / x) * (y * x),z,u) = (1 / x) * (R(y,z,u) * x).
L(K(x,x \ 1),K(x \ 1,x),x) = L(x,x \ 1,x) \ x.
L(K(x,x \ 1),K(x \ 1,x),x) = a(x,x \ 1,x).
T(x / 1,y) / x = T(1 / (1 / x),y) * (1 / x).
T(1 / (1 / x),y) * (1 / x) = T(x / 1,y) / x.
T(1 / (1 / x),y) * (1 / x) = T(x,y) / x.
T(x,y) / x = (1 / x) * T((1 / x) \ 1,y).
(1 / x) * T((1 / x) \ 1,y) = T(x,y) / x.
(1 / x) * T(x,y) = T(x,y) / x.
K(x \ (x / (1 / y)),x) = T(y,x) / y.
T(x,1 / x) / x = x * (1 / x).
(1 / (x / y)) * (y \ x) = T(x / y,y) / (x / y).
T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x).
L(T(x,y) \ z,T(x,y),1 / x) = (T(x,y) / x) \ ((1 / x) * z).
K(x,1 / x) = T(x,1 / x) / x.
T(x,1 / x) / x = K(x,1 / x).
K(x \ (x / (1 / R(y,z,u))),x) = R(T(y,x),z,u) / R(y,z,u).
(x \ y) / (y / x) = (1 / (y / x)) * (x \ y).
(1 / (x / y)) * (y \ x) = (y \ x) / (x / y).
T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)).
(x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y).
K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x.
x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y).
x * (R(x,y,z) * u) = R(x,y,z) * (x * u).
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
R(x,y,z) * u = x * (R(x,y,z) * (x \ u)).
x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u.
x * (R(x,y,T(x,y)) * y) = (x * y) * T(x,y).
x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u).
R(x,y,z) * u != x * w | R(x,y,z) * (x \ u) = w.
(1 / x) * ((y / (x * y)) * ((1 / x) \ z)) = R(1 / x,x,y) * z.
x \ R(x,y,z) = R(x,y,z) * (x \ 1).
R(x,y,z) * (x \ 1) = x \ R(x,y,z).
x \ y = R(x,z,u) * (x \ (R(x,z,u) \ y)).
R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u.
x \ R(x * y,z,u) = R(x,z,u) * (x \ R(y,z,u)).
R(x,y,z) * (x \ R(u,y,z)) = x \ R(x * u,y,z).
x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)).
R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z).
(x \ R(x,y,z)) / (x \ 1) = R(x,y,z).
R(x,y,z) \ (x \ R(x,y,z)) = x \ 1.
(x \ 1) * R(T(x,x \ 1),y,z) = x \ R(x,y,z).
x \ R(x,y,y \ (x \ 1)) = (x * y) * (y \ (x \ 1)).
(x \ R(x,y,z)) / x = (R(x,y,z) / x) * (1 / x).
(R(x,y,z) / x) * (1 / x) = (x \ R(x,y,z)) / x.
(x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z).
(R(x,y,z) * ((x \ 1) * T((x \ 1) \ 1,u))) / T((R(x,y,z) * (x \ 1)) \ R(x,y,z),u) = x \ R(x,y,z).
R(x,y,y \ 1) * (y \ R(y,z,u)) = R(x * (R(y,z,u) / y),y,y \ 1).
R(x * (R(y,z,u) / y),y,y \ 1) = R(x,y,y \ 1) * (y \ R(y,z,u)).
R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u).
R(x,y,z) \ 1 = x \ (R(x,y,z) \ x).
x \ (R(x,y,z) \ x) = R(x,y,z) \ 1.
R(x \ 1,y,z) = x \ (R(x,y,z) \ x).
x \ (R(x,y,z) \ x) = R(x \ 1,y,z).
x * R(x \ 1,y,z) = R(x,y,z) \ x.
(1 / x) * R(x,y,z) = R(1 / x,y,z) \ (1 / x).
R(1 / x,y,z) \ (1 / x) = (1 / x) * R(x,y,z).
(x / (y * x)) * y = R(y,y,x) \ y.
R(x,x,y) \ x = (y / (x * y)) * x.
(R(x,y,z) \ x) / x = R(1 / x,y,z).
((x \ y) / y) * x = R(x,x,x \ y) \ x.
R(x,x,x \ y) \ x = ((x \ y) / y) * x.
(x * (R(x \ 1,y,z) * T(R(x \ 1,y,z) \ 1,u))) / T((x * R(x \ 1,y,z)) \ x,u) = R(x,y,z) \ x.
(1 / x) \ R(1 / x,y,z) = R(x,y,z) \ x.
(x * y) * R((x * y) \ x,z,u) = x * (R(y,z,u) \ y).
R(x / y,x / y,y) \ (x / y) = (y / x) * (x / y).
((x / (y * x)) \ 1) \ y = (x / (y * x)) * y.
R(R(1 / x,y,z),x,x \ 1) = (R(x,y,z) \ x) * (x \ 1).
(((x \ y) / y) \ 1) \ x = ((x \ y) / y) * x.
(1 / x) * (R(x,y,z) \ x) = R(1 / x,y,z).
R(x,x,y) * y = x \ ((x * x) * y).
x \ ((x * x) * y) = R(x,x,y) * y.
T(x * y,x) = R(x,y,x) * (x \ (y * x)).
R(x,y,x) * (x \ (y * x)) = T(x * y,x).
R(x,y,x) * T(y,x) = T(x * y,x).
T(x * y,x) / T(y,x) = R(x,y,x).
(x \ 1) \ (x \ R(x,y,z)) = R(T(x,x \ 1),y,z).
x \ R(x,y,z) = R(x \ 1,y,z) \ (x \ 1).
R(x \ 1,y,z) \ (x \ 1) = x \ R(x,y,z).
(x * (y \ 1)) \ ((y / x) \ 1) = (y / x) \ R(y / x,x,y \ 1).
(x / y) \ R(x / y,y,x \ 1) = (y * (x \ 1)) \ ((x / y) \ 1).
(((x / (y * x)) \ 1) \ 1) \ (y \ 1) = y \ R(y,y,x).
x \ R(x,y,y \ (x \ 1)) = a(x,y,y \ (x \ 1)).
R(x \ 1,y,y \ (x \ 1)) \ (x \ 1) = a(x,y,y \ (x \ 1)).
(R(x,y,z) \ x) * (x \ 1) = R(x \ T(1,1 / x),y,z).
R(x \ T(1,1 / x),y,z) = (R(x,y,z) \ x) * (x \ 1).
R(x \ 1,y,z) = (R(x,y,z) \ x) * (x \ 1).
(R(x,y,z) \ x) * (x \ 1) = R(x \ 1,y,z).
R(x \ 1,y,z) / (x \ 1) = R(x,y,z) \ x.
R(x,y,z) / ((1 / x) \ 1) = R(1 / x,y,z) \ (1 / x).
R(x,y,z) / x = R(1 / x,y,z) \ (1 / x).
R(1 / x,y,z) \ (1 / x) = R(x,y,z) / x.
R(x,y,z) / x = (1 / x) * R(x,y,z).
(1 / x) * R(x,y,z) = R(x,y,z) / x.
(1 / x) \ (R(x,y,z) / x) = R(x,y,z).
x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y).
x * (L(x,y,z) * u) = L(x,y,z) * (x * u).
L(x,y,z) * (x * u) = x * (L(x,y,z) * u).
L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u.
L(x,y,z) * u = x * (L(x,y,z) * (x \ u)).
x * (L(x,y,z) * (x \ u)) = L(x,y,z) * 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).
L(x,y,z) * (x \ L(u,x \ L(x,y,z),x)) = (x \ L(x,y,z)) * u.
L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w.
x * (L(x,y,z) * (x \ L(x,u,w))) = L(x,u,w) * L(x,y,z).
L(x,y,z) \ x = x * (L(x,y,z) \ 1).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
L(x,y,z) \ u = x * (L(x,y,z) \ (x \ u)).
x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u.
x \ (L(x,y,z) \ x) = L(x,y,z) \ 1.
x \ L(x,y,z) = L(x,y,z) * (x \ 1).
L(x,y,z) * (x \ 1) = x \ L(x,y,z).
R(x,y,x) \ (x * z) = L(R(x,y,x),y,(y * x) / y) * (R(x,y,x) \ z).
L(R(x,y,x),y,(y * x) / y) * (R(x,y,x) \ z) = R(x,y,x) \ (x * z).
(x \ L(x,y,z)) / (x \ 1) = L(x,y,z).
L(x,y,z) \ (x \ L(x,y,z)) = x \ 1.
L((x \ 1) \ 1,x \ 1,L(x,y,z)) = (x \ L(x,y,z)) \ L(x,y,z).
R(1 / L(x,y,z),L(x,y,z),x \ 1) = (x \ 1) / (x \ L(x,y,z)).
(x \ 1) * L(T(x,x \ 1),y,z) = x \ L(x,y,z).
x \ (L(x,y,z) \ u) = L(x,y,z) \ (x \ u).
L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u).
L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)).
x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x).
(x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u).
R(x / (y \ 1),z,u) * (y \ 1) = y \ R(y * x,z,u).
R(x,y,z) * (u \ 1) = u \ R(u * (x * (u \ 1)),y,z).
x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1).
(x / ((y \ 1) * z)) * (y \ 1) = y \ R(y * (x / z),y \ 1,z).
x \ R(x * (y / z),x \ 1,z) = (y / ((x \ 1) * z)) * (x \ 1).
(x * ((y \ 1) \ 1)) * (y \ 1) = y \ R(y * x,y,y \ 1).
x \ R(x * y,x,x \ 1) = (y * ((x \ 1) \ 1)) * (x \ 1).
(x * ((y \ 1) \ 1)) * (y \ 1) = T((y * x) * (1 / y),y).
T((x * y) * (1 / x),x) = (y * ((x \ 1) \ 1)) * (x \ 1).
x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x).
(L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z).
(x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z).
(x \ 1) * (x * (y * (x \ 1))) = L(y,x \ 1,x) * (x \ 1).
R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u).
R(x \ R(x,y,z),u,w) / (x \ 1) = x * R(x \ R(x,y,z),u,w).
(x * y) * R((x * y) \ (y * z),u,w) = y * (T(x,y) * R(T(x,y) \ z,u,w)).
x \ L(1 \ (x * (y * (x \ 1))),z,u) = L(y,z,u) * (x \ 1).
x \ L(x * (y * (x \ 1)),z,u) = L(y,z,u) * (x \ 1).
x \ L(x * y,z,u) = L(y / (x \ 1),z,u) * (x \ 1).
L(x / (y \ 1),z,u) * (y \ 1) = y \ L(y * x,z,u).
x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u).
(x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u).
K(x \ (x / R(1 / y,z,u)),x) = R(T(y,x),z,u) / R(y,z,u).
K(x \ (x / R(1 / y,z,u)),x) = R(T(y,x) / y,z,u).
R(T(x,y) / x,z,u) = K(y \ (y / R(1 / x,z,u)),y).
K(x \ (x / R(1 / (y / z),y / z,z)),x) = (T(y / z,x) * z) / y.
T(T((x * y) / x,x * y),T(y,x * y)) = ((y * (x * y)) / y) / x.
(x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)).
x * (y * R(y \ (x \ 1),z,u)) = R(x * y,z,u) \ (x * y).
R(x / (y \ z),y,y \ z) = (x / z) * R(y,y,y \ z).
R((x * y) / x,y \ 1,x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)).
x * (R(x \ y,z,u) \ (x \ y)) = y * R(y \ (x * 1),z,u).
x * (R(x \ y,z,u) \ (x \ y)) = y * R(y \ x,z,u).
x \ (y * R(y \ x,z,u)) = R(x \ y,z,u) \ (x \ y).
R(x \ y,z,u) \ (x \ y) = x \ (y * R(y \ x,z,u)).
R(L(x,y,z),u,w) \ ((z * y) \ (z * (y * x))) = (z * y) \ ((z * (y * x)) * R((z * (y * x)) \ (z * y),u,w)).
(x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = R(L(z,y,x),u,w) \ ((x * y) \ (x * (y * z))).
T(x,x \ L(x,y,z)) = L((x \ 1) \ 1,x \ 1,L(x,y,z)).
L((x \ 1) \ 1,x \ 1,L(x,y,z)) = T(x,x \ L(x,y,z)).
T(L(x,y,(y * x) / y),T(x,y * x)) = ((x * (y * x)) / x) / y.
L(T(x,T(x,y * x)),y,(y * x) / y) = ((x * (y * x)) / x) / y.
L(x,y,(y * x) / y) = ((x * (y * x)) / x) / y.
T(x,R(y,y \ 1,x)) = (((x * y) / x) * (y \ 1)) * x.
(((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)).
R(x * y,z,u) \ (R(x,z,u) * R(y * w,z,u)) = L(R(w,z,u),R(y,z,u),R(x,z,u)).
(x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y.
(x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y.
(x * y) * R((x * y) \ y,z,u) = (R(x,z,u) \ x) * y.
(x * y) \ ((R(x,z,u) \ x) * y) = R((x * y) \ y,z,u).
(R(x,y,z) \ x) * x = x * (R(x,y,z) \ x).
T(x,R(x,y,z) \ x) = x.
T(x,(x \ 1) * x) = x.
R(x,y,z) = (R(x,y,z) \ x) \ x.
(R(x,y,z) \ x) \ x = R(x,y,z).
T(x,K(x \ 1,x)) = x.
T(x,x \ L(x,x \ 1,x)) = x.
L((x \ 1) \ 1,x \ 1,L(x,x \ 1,x)) = x.
(R(x,y,z) \ x) * R(x,y,z) = x.
x / R(x,y,z) = R(x,y,z) \ x.
((x / (y * x)) * y) \ y = R(y,y,x).
K(x \ (R(x,y,z) \ x),x) = R(x,y,z) * T(R(x,y,z) \ 1,x).
x / R(x,x,y) = (y / (x * y)) * x.
R(T(x,1 / x) / x,y,z) = K((1 / x) \ (R(1 / x,y,z) \ (1 / x)),1 / x).
K((1 / x) \ (R(1 / x,y,z) \ (1 / x)),1 / x) = R(T(x,1 / x) / x,y,z).
K(R(x \ 1,y,z),x) = R(x,y,z) * T(R(x,y,z) \ 1,x).
R(x,y,z) * T(R(x,y,z) \ 1,x) = K(R(x \ 1,y,z),x).
R(x,y,z) * T(R(x \ 1,y,z),x) = K(R(x \ 1,y,z),x).
R(x,y,z) * R(T(x \ 1,x),y,z) = K(R(x \ 1,y,z),x).
K(R(x \ 1,y,z),x) = R(x * T(x \ 1,x),y,z).
R(x * T(x \ 1,x),y,z) = K(R(x \ 1,y,z),x).
R((x \ 1) * x,y,z) = K(R(x \ 1,y,z),x).
R(K(x \ 1,x),y,z) = K(R(x \ 1,y,z),x).
(x * y) * L(L(T(x,x * y),z,u),w,v5) = x * (y * L(L(T(x,y),z,u),w,v5)).
T(x / (y * z),R(u,y,z)) = R(u \ (((x / z) / y) * u),y,z).
R(x \ (((y / z) / u) * x),u,z) = T(y / (u * z),R(x,u,z)).
R(T((x / y) / z,u),z,y) = T(x / (z * y),R(u,z,y)).
T(x / (y * z),R(u,y,z)) = T(x / (y * z),u).
T(x,R(y,z,u)) = T((x * (z * u)) / (z * u),y).
T((x * (y * z)) / (y * z),u) = T(x,R(u,y,z)).
T(x,y) = T(x,R(y,z,u)).
T(x,R(y,z,u)) = T(x,y).
T(x,T(R(y,z,u),w)) = T(x,T(y,w)).
R(x,y,z) * T(u,x) = u * R(x,y,z).
T(x / R(y,z,u),y) = R(y,z,u) \ x.
T(x,y / (z * y)) = T(x,1 / z).
T(x,y / (z * u)) = T(x,(y / u) / z).
T(x,(y / z) / u) = T(x,y / (u * z)).
T(x,y \ 1) = T(x,1 / y).
T(x,1 / y) = T(x,y \ 1).
T(x,y * (z \ 1)) = T(x,y / z).
T(x,y / (z * (u \ y))) = T(x,u / z).
T(x,(y * z) / u) = T(x,y / (u / z)).
T(x,(y \ 1) \ 1) = T(x,y).
T(x,T(y,y \ 1)) = T(x,y).
T(x,R(y,z,u) \ 1) = T(x,y \ 1).
T(x,(y / z) \ 1) = T(x,z / y).
T(x,T(y \ 1,y)) = T(x,y \ 1).
T(x,T(y,z)) = T(x,T(y,y * z)).
T(x,T(y,y * z)) = T(x,T(y,z)).
T(x,T(y / (z * u),z)) = T(x,z \ (y / u)).
T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)).
T(x,y \ (z * (u \ y))) = T(x,T(z / u,y)).
T(x,y \ z) = T(x,T(z / y,z)).
T(x,T(y / z,y)) = T(x,z \ y).
T(x,T(y,z)) = T(x,T(y,z * y)).
T(x,T(y,z * y)) = T(x,T(y,z)).
T(x,y * z) = T(x,y / (1 / z)).
T(x,y / (1 / z)) = T(x,y * z).
T(x,T(y * z,u)) = T(x,T(y / (1 / z),u)).
T(x,T(y / (1 / z),u)) = T(x,T(y * z,u)).
(1 / x) * T(y,x \ 1) = y * (1 / x).
T(x / (1 / y),y \ 1) = (1 / y) \ x.
T(x,x \ 1) / x = K(x,1 / x).
((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1).
T(x / T(y,y \ 1),y) = T(y,y \ 1) \ x.
T(x,y / (z * y)) = T(x,z \ 1).
T(x * (y \ 1),x / y) = x * (y \ 1).
T(x \ 1,(x \ 1) / x) = L(x \ 1,x \ 1,x \ 1).
L(x \ 1,x \ 1,x \ 1) = T(x \ 1,(x \ 1) / x).
T(x,y * (z * (u \ 1))) = T(x,y / R(u / z,z,u \ 1)).
T(x,y / R(z / u,u,z \ 1)) = T(x,y * (u * (z \ 1))).
T(x,y * R(z,u,w)) = T(x,y / R(1 / z,u,w)).
T(x,y / R(1 / z,u,w)) = T(x,y * R(z,u,w)).
T(x,T(y,z) \ y) = T(x,y / T(y,z)).
T(x,y / T(y,z)) = T(x,T(y,z) \ y).
K((x * (y \ 1)) \ x,x * (y \ 1)) = y \ T(y,x / y).
T(x,y \ 1) = T(x,(y \ z) / z).
T(x,(y \ z) / z) = T(x,y \ 1).
((x / y) \ 1) * T(z,y / x) = z * ((x / y) \ 1).
T(x,y \ 1) = T(x,T(z,y) / (z * y)).
T(x,T(y,z) / (y * z)) = T(x,z \ 1).
T(x,(y \ z) \ 1) = T(x,T(y,y \ z) / z).
T(x,T(y,y \ z) / z) = T(x,(y \ z) \ 1).
T(x,T(y,z)) = T(x,T(y,y \ z)).
T(x,T(y,y \ z)) = T(x,T(y,z)).
T(x,T(y,z)) = T(x,(y \ z) \ z).
T(x,(y \ z) \ z) = T(x,T(y,z)).
T(x,R(T(1 / y,z),y,z)) = T(x,(y * z) \ z).
T(x,T(R(y,z,u) / w,y)) = T(x,w \ R(y,z,u)).
T(x,T(y \ z,z)) = T(x,T(y \ z,y)).
((x \ 1) \ 1) / x = K(x,1 / x).
K(T(1 / (1 / x),x \ 1),x \ 1) = K(x,1 / x).
(x / (y * x)) * T(z,y \ 1) = z * (x / (y * x)).
T(T(x,y \ 1) / (y * x),x) = x / (y * x).
(x * y) \ T(y,x \ 1) = (y * ((x * y) \ y)) / y.
T(x,T(y \ 1,z)) = T(x,T(1 / y,z)).
T(x,T(1 / y,z)) = T(x,T(y \ 1,z)).
T(x,T((y * z) / u,w)) = T(x,T(y / (u / z),w)).
T(x,y \ (z \ y)) = T(x,T(1 / z,y)).
T(x,T(1 / y,z)) = T(x,z \ (y \ z)).
R(x,y,z) * (x \ u) = (u / x) * R(x,y,z).
R(x \ y,z,u) * ((x \ y) \ y) = x * R(x \ y,z,u).
x * R(y,x,y) = T(y * x,y).
T(x * y,x) / R(x,y,x) = y.
x \ T(y * x,y) = R(y,x,y).
T(x * y,x) != y * z | R(x,y,x) = z.
L(R(x,y,x),y,z) = (z * y) \ (z * T(x * y,x)).
(x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x).
T(x,y) * R(y,T(x,y),y) = T(x * y,y).
L(R(x,y,x) \ z,R(x,y,x),y) = T(x * y,x) \ (y * z).
R(x,y,R(z,y,z)) * T(z * y,z) = (x * y) * R(z,y,z).
T(T(x,y) * y,T(x,y)) = R(x,y,T(x,y)) * y.
R((x * y) / x,x,y) = T(y * x,y) / x.
T(T(x * y,x) / y,y * R(x,y,x)) = L(R(x,y,x),y,(y * R(x,y,x)) / y).
T(x,y) / R(y,y \ x,y) = y \ x.
T(x * y,y) / R(y,T(x,y),y) = T(x,y).
(x \ y) \ T(y,x) = R(x,x \ y,x).
R(x,x \ y,x) = (x \ y) \ T(y,x).
L(R(x,y,L(x,z,u)),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)).
x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,L(y,z,u)),z,u).
T(x,y) \ T(x * y,y) = R(y,T(x,y),y).
R(x,y,x) = R(x,y,T(x,y)).
R(x,y,T(x,y)) = R(x,y,x).
R(R(x,y,x),z,u) * (y * T(x,y)) = (R(x,z,u) * y) * T(x,y).
L(R(x,y,x),y,x) = x.
((x * T(y,x)) * R(y,x,y)) \ ((y * x) * T(y,x)) = K(R(y,x,T(y,x)),x * T(y,x)).
x * (R(x,y,x) * y) = (x * y) * T(x,y).
L(T(R(x,y,x),z),y,x) = T(x,z).
x = R(L(x,y,x),y,x).
R(L(x,y,x),y,x) = x.
L(R(R(x,y,x),z,u),y,x) = R(x,z,u).
R(1 / L(x,y,x),y,x) = 1 / x.
R(L(x,y,x) \ 1,y,x) = x \ 1.
(x * y) * L(x,z,u) = x * (y * L(R(x,y,x),z,u)).
x * (y * L(R(x,y,x),z,u)) = (x * y) * L(x,z,u).
x * (y * x) = (L(x,y,x) * y) * x.
(L(x,y,x) * y) * x = x * (y * x).
R(x,y,z) / z = R(x / L(z,y,z),y,z).
R(x / L(y,z,y),z,y) = R(x,z,y) / y.
x \ R(y,z,x) = R(L(x,z,x) \ y,z,x).
R(L(x,y,x) \ z,y,x) = x \ R(z,y,x).
R(x,y,z) \ z = R(x \ L(z,y,z),y,z).
R(x \ L(y,z,y),z,y) = R(x,z,y) \ y.
x * R(y,z,x) = R(L(x,z,x) * y,z,x).
R(L(x,y,x) * z,y,x) = x * R(z,y,x).
R(x,y,z) * z = R(x * L(z,y,z),y,z).
R(x * L(y,z,y),z,y) = R(x,z,y) * y.
x / R(y,z,x) = R(L(x,z,x) / y,z,x).
R(L(x,y,x) / z,y,x) = x / R(z,y,x).
T(x,y) = T(x,L(y,z,y)).
T(x,L(y,z,y)) = T(x,y).
L(R(T(x,y),z,x),z,x) = T(x,y).
T(x,y) = R(T(x,x * y),y,x).
R(T(x,x * y),y,x) = T(x,y).
L(T(x,y),y,x) = T(x,y * x).
R(T(x,y),x \ y,x) = T(x,x \ y).
(x * y) * R(T(x,y),z,u) = R(R(x,y,x),z,u) * (x * y).
R(R(x,y,x),z,u) * (x * y) = (x * y) * R(T(x,y),z,u).
T(x,y * x) = T(x,x * y).
x * T(y,x * y) = L(y,x,y) * x.
L(R(x,y,y \ 1),y,(y * x) * (y \ 1)) = T((y * x) * (y \ 1),y * ((y * x) * (y \ 1))).
T((x * y) * (x \ 1),x * ((x * y) * (x \ 1))) = L(R(y,x,x \ 1),x,(x * y) * (x \ 1)).
T(x,y) = T(x,x * (y / x)).
T(x,x * (y / x)) = T(x,y).
x * T(y,x * y) != z * x | L(y,x,y) = z.
T(x * T(y,y * x),y) = x * y.
T(x,x * y) * T(y,T(x,y * x)) = L(x,y,x) * y.
T(L(x,y,x) * y,x) = y * x.
T(x * y,z) = T(T(L(y,x,y) * x,z),y).
T(T(L(x,y,x) * y,z),x) = T(y * x,z).
R(x,x \ 1,x) = (x \ 1) \ 1.
R(x,x \ (y / x),x) = (x \ (y / x)) \ (x \ y).
T(T(x,y) / (y \ x),z) * (y \ x) = (y \ x) * T(R(y,y \ x,y),z).
R(1 / x,x \ y,x) = 1 / ((x \ y) \ T(y,x)).
R(T(x,y),x \ 1,x) = T((x \ 1) \ 1,y).
R(1 / x,x,1 / x) = ((1 / x) \ 1) \ 1.
R((x \ 1) \ 1,y,z) * ((x \ 1) * x) = (R(x,y,z) * (x \ 1)) * x.
(x * (y * x)) / x = L(x,y,x) * y.
R(x,x \ L(x,y,z),x) = T(x,x \ L(x,y,z)).
((x * (y * x)) / x) / y = L(x,y,x).
((x * (y * x)) / x) * L(z,y,L(x,y,x)) = L(x,y,x) * (y * z).
T((x * (y * x)) / x,L(x,y,x)) / T(y,L(x,y,x)) = R(L(x,y,x),y,L(x,y,x)).
L(x,y,(y * x) / y) = L(x,y,x).
x * (R(x,y,z) \ u) = (u / R(x,y,z)) * x.
(x / R(y,z,u)) * y = y * (R(y,z,u) \ x).
T(x / R(y,y,z),y) = ((z / (y * z)) \ 1) \ x.
T(x,R(R(y,z,u) / w,w,z * u) / v5) = T(x,((y * z) * u) / (v5 * (w * (z * u)))).
T(x,y / ((1 / z) * u)) = T(x,(y / u) * z).
T(x,y / z) = T(x,u / (z / (u \ y))).
T(x,y / (z / (y \ u))) = T(x,u / z).
T(x,(y * z) / u) = T(x,z / (u / T(y,z))).
T(x,y / (z / T(u,y))) = T(x,(u * y) / z).
T(x,y) = T(x,z / (T(z,y) / y)).
T(x,y / (T(y,z) / z)) = T(x,z).
x \ T(x * y,x / (x / y)) = R((x * y) / x,x,y).
(1 / x) * ((x \ 1) \ y) = (y / (x \ 1)) * (1 / x).
(x / (y \ 1)) * (1 / y) = (1 / y) * ((y \ 1) \ x).
(x \ 1) * ((1 / x) \ y) = (y / (1 / x)) * (x \ 1).
(x / (1 / y)) * (y \ 1) = (y \ 1) * ((1 / y) \ x).
R((1 / x) \ y,x,x \ 1) = T(y * x,x \ 1).
x * ((T(x,y) / y) \ 1) = T(x * ((T(x,y) / y) \ 1),y).
T(x * ((T(x,y) / y) \ 1),y) = x * ((T(x,y) / y) \ 1).
T(x,y \ (z \ y)) = T(x,T(z \ 1,y)).
T(x,T(y \ 1,z)) = T(x,z \ (y \ z)).
L(R(R(x,y,z),u,x),u,x) = R(x,y,z).
T(x \ 1,y \ (x \ y)) = x \ 1.
(x \ (x \ 1)) / (x \ 1) = (x \ 1) \ (x \ (x \ 1)).
R(x,y,z) \ (R(u,y,z) / z) = R(x \ (u / L(z,y,z)),y,z).
R(x \ (y / L(z,u,z)),u,z) = R(x,u,z) \ (R(y,u,z) / z).
R(L(1 / L(x,y,x),L(x,y,x),z),y,x) = R(L(x,y,x) * ((z * L(x,y,x)) \ z),y,x) / x.
R(L(x,y,x) * ((z * L(x,y,x)) \ z),y,x) / x = R(L(1 / L(x,y,x),L(x,y,x),z),y,x).
R(x,y,z) \ (z \ R(u,y,z)) = R(x \ (L(z,y,z) \ u),y,z).
R(x \ (L(y,z,y) \ u),z,y) = R(x,z,y) \ (y \ R(u,z,y)).
T(x,R(y,z,u) \ u) = T(x,y \ L(u,z,u)).
R(x,y,z) / (z * R(u,y,z)) = R(x / (L(z,y,z) * u),y,z).
R(x / (L(y,z,y) * u),z,y) = R(x,z,y) / (y * R(u,z,y)).
(R(x,y,z) * z) * R(u,y,z) = R((x * L(z,y,z)) * u,y,z).
R((x * L(y,z,y)) * u,z,y) = (R(x,z,y) * y) * R(u,z,y).
(R(x,y,z) * z) \ R(u,y,z) = R((x * L(z,y,z)) \ u,y,z).
R((x * L(y,z,y)) \ u,z,y) = (R(x,z,y) * y) \ R(u,z,y).
R(1 / x,x,1 / x) = x \ 1.
(1 / x) / K(x,1 / x) = x \ 1.
(x \ 1) * K(x,1 / x) = 1 / x.
x * K(1 / x,1 / (1 / x)) = 1 / (1 / x).
T(x,T(y / z,u)) = T(x,u \ (y / (u \ z))).
T(x,y \ (z / (y \ u))) = T(x,T(z / u,y)).
T(x,T(y * (z \ 1),y)) = T(x,z \ y).
T(x,T(y * z,y)) = T(x,(1 / z) \ y).
T(x,y \ (z * u)) = T(x,T(z / (y / u),y)).
T(x,T(y / (z / u),z)) = T(x,z \ (y * u)).
T(x,R(y,z,u) * (y \ (w \ y))) = T(x,T(R(y,z,u) / w,y)).
T(x,x \ 1) \ T(x,x / T(x,x \ 1)) = x / T(x,x \ 1).
T(T(x,y \ 1) / (R(y,z,u) * x),x) = x / (R(y,z,u) * x).
(R(x,y,z) * (x \ u)) / R(x,y,z) = u / x.
R(x,y,z) * u = ((x * u) / x) * R(x,y,z).
((x * y) / x) * R(x,z,u) = R(x,z,u) * y.
R(x,x \ 1,y) * (x \ z) = (z / x) * (y / ((x \ 1) * y)).
x * ((y / x) * R(x,z,u)) = R(x,z,u) * y.
x \ (R(x,y,z) * u) = (u / x) * R(x,y,z).
(1 / x) * R(x,y,z) = x \ R(x,y,z).
(R(x,y,z) / u) * R(u,y,z) = u \ R(u * x,y,z).
(x \ R(x,y,z)) / R(x,y,z) = 1 / x.
(1 / x) \ (x \ R(x,y,z)) = R(x,y,z).
x * R(x \ 1,y,z) = (x \ 1) \ R(x \ 1,y,z).
(x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z).
R(((1 / x) / y) * (y * x),y,x) = (y * x) \ R(y * x,y,x).
R(1 / x,y,z) \ (1 / x) = x \ R(x,y,z).
x \ R(x,y,z) = R(x,y,z) / x.
R(x,y,z) / x = x \ R(x,y,z).
(x \ R(x,y,z)) * x = R(x,y,z).
L(R(x,y,z),u,w) / L(x,u,w) = L(x,u,w) \ R(L(x,u,w),y,z).
(x \ R(x,y,z)) \ R(x,y,z) = x.
R(x \ R(x,y,z),x,u) = (R(x,y,z) * u) / (x * u).
R(x \ R(x,y,z),x,x \ u) = (R(x,y,z) * (x \ u)) / u.
R(x \ (y \ R(y,z,u)),x,y) = T(R(y,z,u) / (x * y),x).
(x \ R(x,y,z)) * (1 / x) = (x \ R(x,y,z)) / x.
(x \ 1) \ R(x \ 1,y,z) = R(x,y,z) \ x.
R(L(x,y,x) \ R(L(x,y,x),z,u),y,x) = R(R(L(x,y,x),z,u),y,x) / x.
T(x,x \ R(x,y,z)) = x.
R(x,y \ R(y,z,u),y) = ((x * (y \ R(y,z,u))) * y) / R(y,z,u).
((x * (y \ R(y,z,u))) * y) / R(y,z,u) = R(x,y \ R(y,z,u),y).
R(x \ R(x,y,z),x \ R(x,y,z),x) = (x / R(x,y,z)) \ 1.
(x \ ((y / (x * y)) \ 1)) * x = R(x,x,y).
a(x,y,y \ (x \ 1)) * x = R(x,y,y \ (x \ 1)).
T(x,(y / z) / (z \ R(z,u,w))) = T(x,y / R(z,u,w)).
(R(x,y,z) \ x) \ R(1 / x,y,z) = 1 / x.
T(x,y / (z \ R(z,u,w))) = T(x,(y / R(z,u,w)) * z).
T(x,y / (z / T(u,y))) = T(x,u / (z / y)).
T(x,x \ L(x,y,x)) = x.
(x \ L(x,y,x)) * x = L(x,y,x).
R((x \ L(x,y,x)) / z,z,x) = L(x,y,x) / (z * x).
L(x,y,x) \ ((R(x \ L(x,y,x),z,u) \ (x \ L(x,y,x))) * x) = R(((x \ L(x,y,x)) * x) \ x,z,u).
T(x,T(y / ((z / u) / (1 / u)),z / (u \ 1))) = T(x,(z / (u \ 1)) \ (y * u)).
(x \ y) / R(x,z,u) = (R(x,z,u) \ y) / x.
(R(x,y,z) \ u) / x = (x \ u) / R(x,y,z).
(x / y) * R(R(y,z,u),w,v5) = R(R(y,z,u),w,v5) * (y \ x).
R(R(x,y,z),u,w) * (x \ v5) = (v5 / x) * R(R(x,y,z),u,w).
x * (y * R(x,z,u)) = R(x,z,u) * (y * x).
R(x,y,z) * (u * x) = x * (u * R(x,y,z)).
T(x,(y / x) * R(x,z,u)) = ((y / x) * R(x,z,u)) \ (R(x,z,u) * y).
((x / y) * R(y,z,u)) \ (R(y,z,u) * x) = T(y,(x / y) * R(y,z,u)).
(1 / x) \ ((y / (x * y)) * z) = (z / (1 / x)) * R(1 / x,x,y).
x \ (x \ R(x,y,z)) = ((x \ 1) / x) * R(x,y,z).
((x \ 1) / x) * R(x,y,z) = x \ (x \ R(x,y,z)).
x \ (x \ R(x * y,z,u)) = ((x \ R(y,z,u)) / x) * R(x,z,u).
((x \ R(y,z,u)) / x) * R(x,z,u) = x \ (x \ R(x * y,z,u)).
R(1 / x,y,z) * (x \ R(x,y,z)) = 1 / x.
(x / (y * x)) \ (1 / y) = y \ R(y,y,x).
(x \ R(x,y,z)) \ (1 / x) = R(1 / x,y,z).
(x \ 1) * (R(x,y,z) \ x) = R(x \ 1,y,z).
(R(x,x,y) \ x) \ (y / (x * y)) = 1 / x.
(R(x / y,x / y,y) \ (x / y)) \ (y / x) = 1 / (x / y).
a(R(x,y,z),u,x) = (x * (u * R(x,y,z))) \ ((R(x,y,z) * u) * x).
(x * (y * R(x,z,u))) \ ((R(x,z,u) * y) * x) = a(R(x,z,u),y,x).
T(x,(y * z) \ z) = T(x,T(1 / y,z)).
T(x,T(1 / y,z)) = T(x,(y * z) \ z).
T(x,(y * z) \ z) = T(x,T(y \ 1,z)).
T(x,T(y \ 1,z)) = T(x,(y * z) \ z).
(x \ (y / x)) \ (x \ y) = y / ((x \ (y / x)) * x).
x / ((y \ (x / y)) * y) = (y \ (x / y)) \ (y \ x).
((x / (y * x)) \ 1) \ z = R(y,y,x) \ z.
R(x,x,y) \ z = ((y / (x * y)) \ 1) \ z.
R(x,y,y \ 1) = T(((1 / y) * x) * y,y \ 1).
T(((1 / x) * y) * x,x \ 1) = R(y,x,x \ 1).
T(((1 / (x * y)) * R(1 / x,x,y)) * (x * y),(x * y) \ 1) = (y * ((x * y) \ 1)) / ((x * y) * ((x * y) \ 1)).
K((1 / x) \ 1,x \ 1) = K(x,1 / x).
K(x,x \ 1) = K(x,1 / x).
K(x,1 / x) = K(x,x \ 1).
K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1).
K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x).
K(x,x \ 1) = x * (1 / x).
x \ K(x,x \ 1) = 1 / x.
K(x,x \ 1) \ 1 = K(1 / x,x).
R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y).
T(x,x \ 1) / x = K(x,x \ 1).
((x \ 1) \ 1) / x = K(x,x \ 1).
x * K(1 / x,(1 / x) \ 1) = 1 / (1 / x).
x * K(x,x \ 1) = (x \ 1) \ 1.
x \ ((x \ 1) \ 1) = K(x,x \ 1).
K(x \ 1,(x \ 1) \ 1) = K(x,x \ 1) \ 1.
x * K(1 / x,x) = 1 / (1 / x).
K(x \ 1,(x \ 1) \ 1) = K(1 / x,x).
K(1 / x,x) = K(x \ 1,x).
x * K(x \ 1,x) = 1 / (1 / x).
1 / (1 / x) = L(x,x \ 1,x).
L(x,x \ 1,x) = 1 / (1 / x).
L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z).
(1 / (1 / x)) \ (x * y) = x * (L(x,x \ 1,x) \ y).
x * (L(x,x \ 1,x) \ y) = (1 / (1 / x)) \ (x * y).
L((x \ 1) \ 1,x \ 1,1 / (1 / x)) = x.
x \ R(1 / (1 / x),y,z) = (x \ 1) * R(x,y,z).
T(x,T(y / (z / u),y * u)) = T(x,z \ (y * u)).
(x * ((y \ 1) \ 1)) / y = (1 / y) * ((y \ 1) \ x).
(1 / (1 / x)) * (x \ 1) = (x \ 1) * x.
K(x \ 1,x) = (1 / (1 / x)) * (x \ 1).
(1 / (1 / x)) * (x \ 1) = K(x \ 1,x).
K(x \ 1,x) = (x \ 1) / (1 / x).
(x \ 1) / (1 / x) = K(x \ 1,x).
K(x \ 1,x) \ (x \ 1) = 1 / x.
R(K(x \ 1,x),1 / x,y) \ ((x \ 1) * y) = (1 / x) * y.
1 / x = L(x \ 1,x,x \ 1).
L(x \ 1,x,x \ 1) = 1 / x.
((x / y) \ 1) \ R((x / y) \ 1,y,x \ 1) = (x / y) * (y * (x \ 1)).
x \ (1 / (y / (x * y))) = (x \ 1) * R(x,x,y).
x \ (1 / ((x \ y) / y)) = (x \ 1) * R(x,x,x \ y).
T(x,T(y / z,y * T(u,z))) = T(x,(u * z) \ (y * T(u,z))).
x \ ((x * y) * L(x,z,u)) = y * L(R(x,y,x),z,u).
x \ T(x * y,x / (x / y)) = T(y * x,y) / x.
x * ((1 / (1 / x)) \ y) = (1 / (1 / x)) \ (x * y).
(1 / (1 / x)) \ (x * y) = x * ((1 / (1 / x)) \ y).
(1 / (1 / ((x \ 1) \ 1))) \ R(x * y,x,x \ 1) = ((x \ 1) \ 1) * ((1 / (1 / ((x \ 1) \ 1))) \ R(y,x,x \ 1)).
((x \ 1) \ 1) * ((1 / (1 / ((x \ 1) \ 1))) \ R(y,x,x \ 1)) = (1 / (1 / ((x \ 1) \ 1))) \ R(x * y,x,x \ 1).
x * R(x \ y,z,u) != R(x \ y,z,u) * w | (x \ y) \ y = w.
R(x \ y,z,u) * w != x * R(x \ y,z,u) | (x \ y) \ y = w.
T(x,y / (z \ R(z,u,w))) = T(x,z * (R(z,u,w) \ y)).
T(x,y * (R(y,z,u) \ (w / y))) = T(x,w / R(y,z,u)).
R(x \ R(x,y,z),x,x \ R(x,y,z)) = R(x,y,z) / x.
R(x \ R(x,y,z),x,x \ R(x,y,z)) = x \ R(x,y,z).
((x / y) * (y / x)) \ (x / y) = 1 / (y / x).
R(1 / x,x,R(y,z,x)) = R(y / (L(x,z,x) * y),z,x).
R(x / (L(y,z,y) * x),z,y) = R(1 / y,y,R(x,z,y)).
L(x \ 1,x,R(y,z,x)) = R((y * L(x,z,x)) \ y,z,x).
R((x * L(y,z,y)) \ x,z,y) = L(y \ 1,y,R(x,z,y)).
T(x,R(y,z,u) * (y \ (w \ y))) = T(x,w \ R(y,z,u)).
T(x,x \ 1) \ T(x,T(x,x \ 1) \ x) = x / T(x,x \ 1).
T(x,x \ 1) \ T(x,K(x \ 1,x)) = x / T(x,x \ 1).
T(x,x \ 1) \ x = x / T(x,x \ 1).
x / T(x,x \ 1) = T(x,x \ 1) \ x.
x / T(x,x \ 1) = K(x \ 1,x).
K(x \ 1,x) \ x = T(x,x \ 1).
R(R(x,y,x),z,u) * (x * y) = (R(x,z,u) * y) * T(x,y).
(R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z).
R((x \ 1) \ 1,y,z) * K(x \ 1,x) = (R(x,y,z) * (x \ 1)) * x.
R((x \ 1) \ 1,y,z) * K(x \ 1,x) = (x \ R(x,y,z)) * x.
T(R((x * y) / x,x,y),T(x,y)) = (y \ (x * y)) \ T(x * y,y).
R(T((x * y) / x,T(x,y)),x,y) = (y \ (x * y)) \ T(x * y,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) = R(y,T(x,y),y).
(1 / (1 / x)) \ (1 / (y / (x * y))) = (1 / x) * R(x,x,y).
(1 / (1 / x)) \ (1 / (y / (x * y))) = x \ R(x,x,y).
K(x \ (x / ((1 * y) / z)),x) = (T(z / y,x) * y) / z.
K(x \ (x / (y / z)),x) = (T(z / y,x) * y) / z.
K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z.
K(x \ (x / ((y * (1 / z)) / y)),x) = ((y * (1 / z)) * T(L(z,1 / z,y),x)) / y.
T((x * y) / x,z) * (y \ x) = (y \ x) * T(R(y,y \ x,y),z).
T((x * y) / x,z) * (y \ x) = (y \ x) * R(T(y,z),y \ x,y).
x * L(R(T(y,z),y \ x,y),y \ x,y) = y * (T((x * y) / x,z) * (y \ x)).
x * (R(x,y,x) \ z) = R(x,y,x) \ (x * z).
R(x,y,x) \ (x * z) = x * (R(x,y,x) \ z).
(x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y.
(x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y.
((x * y) * R((x * y) \ x,z,u)) * y = (x * y) * (R(y,z,u) \ y).
(x * R(x \ y,z,u)) * w = x * (w * R(w \ (x \ (y * w)),z,u)).
x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y.
(x * (R(y,z,u) \ y)) * y = (x * y) * (R(y,z,u) \ y).
((x * y) * (R(y,z,u) \ y)) / y = x * (R(y,z,u) \ y).
(R(x,y,y \ 1) * (R(y \ 1,z,u) \ (y \ 1))) / (y \ 1) = (x * y) * (R(y \ 1,z,u) \ (y \ 1)).
x * (T(y,z) * R(T(y,z) \ (x \ (y * z)),u,w)) = (x * R(x \ z,u,w)) * T(y,z).
(1 \ x) \ ((y \ 1) \ (y \ x)) = a(y,y \ 1,(y \ 1) \ (y \ x)).
a(x,x \ 1,(x \ 1) \ (x \ y)) = (1 \ y) \ ((x \ 1) \ (x \ y)).
a(x,x \ 1,(x \ 1) \ (x \ y)) = y \ ((x \ 1) \ (x \ y)).
R(R(K(x,x \ 1),y,z),x,x \ 1) = R(K((x \ 1) \ 1,x \ 1),y,z).
L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u).
(1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x.
(x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u).
x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x.
x * (R(T(y,x),z,u) \ T(y,x)) = (y * R(y \ 1,z,u)) * x.
x * (R(T(y,x),z,u) \ T(y,x)) = (R(y,z,u) \ y) * x.
T(R(x,y,z) \ x,u) = R(T(x,u),y,z) \ T(x,u).
R(T(x,y),z,u) \ T(x,y) = T(R(x,z,u) \ x,y).
R(T(x,y),x \ 1,x) \ T(x,y) = T((x \ 1) * x,y).
T((x \ 1) \ 1,y) \ T(x,y) = T((x \ 1) * x,y).
T((x \ 1) \ 1,y) \ T(x,y) = T(K(x \ 1,x),y).
R((1 / x) * y,x,x \ 1) / (x \ 1) = (y * x) * T(x \ 1,R(y,x,x \ 1)).
T(x / K(x \ 1,x),y) \ (((x \ 1) * T((x \ 1) \ 1,y)) * x) = K(x \ 1,x).
x * (T(y,x) * R(T(y,x) \ z,u,w)) = y * (x * R(x \ (y \ (x * z)),u,w)).
K((1 / x) \ (R(x,y,z) / x),1 / x) = R(T(x,1 / x) / x,y,z).
K(R(x,y,z),1 / x) = R(T(x,1 / x) / x,y,z).
R(T(x,1 / x) / x,y,z) = K(R(x,y,z),1 / x).
R(T(x,x \ 1) / x,y,z) = K(R(x,y,z),1 / x).
R(K(x,x \ 1),y,z) = K(R(x,y,z),1 / x).
x * (y * L(L(T(x,y),z,u),w,v5)) = L(L(x,z,u),w,v5) * (x * y).
x * (L(L(x,y,z),u,w) * v5) = L(L(x,y,z),u,w) * (x * v5).
L(L(x,y,z),u,w) * (x * v5) = x * (L(L(x,y,z),u,w) * v5).
x * T(y,z) = y * (T((x * y) / x,z) * (y \ x)).
x * (T((y * x) / y,z) * (x \ y)) = y * T(x,z).
(x * y) * T(y \ 1,R(x,y,y \ 1)) = ((1 / y) * x) * y.
(x * y) * T(y \ 1,x) = ((1 / y) * x) * y.
T((x \ 1) \ 1,y) \ (((x \ 1) * T((x \ 1) \ 1,y)) * x) = K(x \ 1,x).
T((x \ 1) \ 1,y) \ ((x \ T(x,y)) * x) = K(x \ 1,x).
L(R(x / (y / z),y / z,z),u,w) * y = ((y / z) * L((y / z) \ x,u,w)) * z.
T((x * (y * x)) / x,x) / T(y,L(x,y,x)) = R(L(x,y,x),y,L(x,y,x)).
(x \ (x * (y * x))) / T(y,L(x,y,x)) = R(L(x,y,x),y,L(x,y,x)).
(x * y) / T(x,L(y,x,y)) = R(L(y,x,y),x,L(y,x,y)).
R(L(x,y,x),y,L(x,y,x)) = (y * x) / T(y,L(x,y,x)).
R(L(x,y,x),y,L(x,y,x)) = (y * x) / T(y,x).
R(L(x,y,x),y,L(x,y,x)) = x.
K(x \ (x / ((y * (1 / z)) / y)),x) = ((y * (1 / z)) * L(T(z,x),1 / z,y)) / y.
L((x * y) / z,u,w) * z = ((z / y) * L((z / y) \ x,u,w)) * y.
((x / y) * L((x / y) \ z,u,w)) * y = L((z * y) / x,u,w) * x.
((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w).
((x / y) * L((x / y) \ x,z,u)) * y = x * 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 * L(y,z,u)) * y = (x * y) * L(y,z,u).
x * L(y,z,u) != w * y | (x / y) * L(y,z,u) = w.
T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)).
x / y = ((x / L(y,z,u)) / y) * L(y,z,u).
((x / L(y,z,u)) / y) * L(y,z,u) = x / y.
(x * (y * z)) / z = ((x * y) / z) * L(z,y,x).
((x * y) / z) * L(z,y,x) = (x * (y * z)) / z.
x * y = ((x / L(y,z,u)) * y) * L(y,z,u).
((x / L(y,z,u)) * y) * L(y,z,u) = x * y.
(x * y) / L(y,z,u) = (x / L(y,z,u)) * y.
(x * ((y \ 1) \ 1)) / y = (x / L((y \ 1) \ 1,y \ 1,1 / (1 / y))) * ((y \ 1) \ 1).
(x / L((y \ 1) \ 1,y \ 1,1 / (1 / y))) * ((y \ 1) \ 1) = (x * ((y \ 1) \ 1)) / y.
x * L(y,y,x) = (x * (y * y)) / y.
(x * (y * y)) / y = x * L(y,y,x).
(x * (y * y)) / y != x * z | L(y,y,x) = z.
T(x * L(y,y,x),y) = y \ (x * (y * y)).
L(L(x,x,y) \ z,L(x,x,y),y) = ((y * (x * x)) / x) \ (y * z).
((x * y) * y) / y = R(x,y,y) * L(y,y,R(x,y,y)).
R(x,y,y) * L(y,y,R(x,y,y)) = ((x * y) * y) / y.
R(x,y,y) * L(y,y,R(x,y,y)) = x * y.
K(x \ (x / ((y * (1 / z)) / y)),x) = (y * ((1 / z) * T(z,x))) / y.
K(x \ (x / ((y * (1 / z)) / y)),x) = (y * (T(z,x) / z)) / y.
((x * y) * R(x,y,x)) \ ((x * y) * T(x,y)) = K(R(x,y,T(x,y)),y * T(x,y)).
T(x,R(R(y,z,u) / w,w,z * u) / v5) = T(x,(y * z) / ((v5 * (w * (z * u))) / u)).
T(x,R(R(y,z,u) / w,w,z * u) / v5) = T(x,y / (((v5 * (w * (z * u))) / u) / z)).
T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y.
T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y.
T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y.
x * y = T(T(x,x * y) * y,x).
T(T(x,x * y) * y,x) = x * y.
T(T(x,x * (x \ y)) * (x \ y),x) = y.
T(T(x,y) * (x \ y),x) = y.
x * y = (T(x,y) * (x \ y)) * x.
(T(x,y) * (x \ y)) * x = x * y.
T(T(R(x,x \ 1,y),y) * ((x \ 1) * y),R(x,x \ 1,y)) = y.
(T(x,y) * (x \ y)) * (y \ 1) = T(T(x,y) * (x \ y),x) \ (T(x,y) * (x \ y)).
T(T(x,y) * (x \ y),x) \ (T(x,y) * (x \ y)) = (T(x,y) * (x \ y)) * (y \ 1).
K(x \ (x / ((T(x,y) * (x \ y)) \ 1)),x) = (T(x,y) * (x \ y)) \ y.
(x * y) / x = T(x,y) * (x \ y).
T(x,y) * (x \ y) = (x * y) / x.
((x * y) / x) / (x \ y) = T(x,y).
T(x,y) = ((x * y) / x) / (x \ y).
T(x,y) \ ((x * y) / x) = x \ y.
T(x,x * y) * y = (x * (x * y)) / x.
(x * (x * y)) / x = T(x,x * y) * y.
x * ((x * y) / x) = T(x,y) * y.
T(x,y) * y = x * ((x * y) / x).
T(x,T(y,T(x,y))) * (T(x,y) \ y) = (x * T(y,T(x,y))) / x.
T(x / y,T(y,y \ x)) * ((y \ x) \ y) = ((x / y) * T(y,y \ x)) / (x / y).
(x \ y) \ T((x * y) / x,T(x,y)) = R(T(x,y),x \ y,T(x,y)).
T(x,T(y,x * y)) * (x \ T(y,x * y)) = (L(y,x,y) * x) / x.
x \ y = T(y / x,T(x,y)).
T(x / y,T(y,x)) = y \ x.
T(x,T(y,x * y)) = y \ (x * y).
T(x,T(x \ y,y)) = (x \ y) \ y.
T(x \ y,x) = T(x \ y,T(x,y)).
T(x \ y,T(x,y)) = T(x \ y,x).
T(x / y,T(y,y \ x)) = y \ x.
T(x / y,(y \ x) \ x) = y \ x.
T(x,x \ y) * (x \ y) = x * (y / x).
T(x / y,y) * y = (x / y) * (x / (x / y)).
T(x,y) * z != x * ((x * y) / x) | z = y.
(x * y) \ (x * ((x * y) / x)) = K(T(x,y),y).
T(x,y) * R(y,z,u) = x * ((x * R(y,z,u)) / x).
T(x,y) = T(x,T(y,x * y)).
T(x,T(y,x * y)) = T(x,y).
T(x,x * y) * (x \ (y * x)) = L(x,y,x) * y.
T(x,y) = T(x,T(y,x)).
T(x,T(y,x)) = T(x,y).
T(T(x,y),z) = T(T(x,z),T(y,x)).
T(T(x,y),T(z,x)) = T(T(x,z),y).
T(x,x \ y) = T(x,y / x).
T(x,y / x) = T(x,x \ y).
(x * y) / T(y,x) = T(x,y).
T(x \ y,x) = T(x,x \ y) \ y.
T(x,x \ y) \ y = T(x \ y,x).
x / T(y,x) = T(x,y) / y.
T(x,y) / y = x / T(y,x).
x * (T(x,y) \ y) = T(y,x).
x \ T(y,x) = T(x,y) \ y.
T(x,y) \ y = x \ T(y,x).
T(x * y,x) = T(x * y,T(x,y)).
T(x * y,T(x,y)) = T(x * y,x).
T(x,x / y) = T(x,y \ x).
T(x,y \ 1) = T(x,x \ (y \ x)).
T(x,x \ (y \ x)) = T(x,y \ 1).
T(x,x * y) = T(x,(1 / y) \ x).
T(x,(1 / y) \ x) = T(x,x * y).
T(x * y,x / (z / y)) = T(x * y,z \ (x * y)).
T(x,(x * y) / x) = T(x,y).
T(x,y / x) = (x \ y) \ y.
(x \ y) * T(x,y / x) = y.
x / T(y,x / y) = y \ x.
T(T(x,x * (y / x)) * (y / x),T(x,x \ y)) = x * (y / x).
T(x * y,(x * y) \ T(x,y)) = T(x * y,y \ 1).
K((x * (y \ 1)) \ x,x * (y \ 1)) = y \ T(y,y \ x).
T(x,y) * T(y,x) = x * y.
(x / T(y,x)) * y = T(x,y).
(x / T(y,x)) \ T(x,y) = y.
T(T(x / T(y,x),z),y) = T(y \ T(x,y),z).
(x * y) / T(y \ 1,x * y) = T(x / (1 / y),y \ 1) * y.
T(x,y * x) / (x * y) = x / T(x * y,x).
T(x,(y * z) / T(u,z)) = T(x,y / (u / T(z,u))).
x / (y \ T(x,y)) = T(y,x).
x \ T(x * y,x) = x * (T(x,x * y) \ y).
x * (T(x,x * y) \ y) = x \ T(x * y,x).
T(x,x / (x / y)) = T(x,y).
T(x,y \ x) / y = (x * (x / y)) / x.
T(T(x,y \ x) / y,x) = x / y.
R(x / y,y,y \ x) = y \ T(x,y \ x).
x \ T(y,x \ y) = (y * (x \ y)) / y.
T(x \ y,y \ (x \ y)) = T(x \ y,x \ 1).
L(x \ 1,x \ 1,x \ 1) = T(x \ 1,x \ (x \ 1)).
T(x \ y,x) = ((x \ y) \ y) \ y.
((x * y) \ y) \ y = T(x * y,x \ 1).
T(x * y,x \ 1) = ((x * y) \ y) \ y.
((x * y) \ y) * T(x * y,x \ 1) = y.
x / T(1 / y,x * y) = (1 / y) \ x.
x / T(y * x,y \ 1) = (y * x) \ x.
(x \ y) / T(y,x \ 1) = y \ (x \ y).
L(x,T(y,z),T(z,y)) = (z * y) \ (T(z,y) * (T(y,z) * x)).
(x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)).
T(x,y) * (x \ (y * x)) = x * y.
T(x,T(y,x)) * T(y,x) = x * y.
T(T(x,y) / (x / y),x) = x / (x / y).
(x / y) \ T(x,y) = (x * y) / x.
T(x,y) * T(x \ y,x) = (x \ y) * T(x,y).
T(T(x * y,x),z) = T(T(x * y,z),T(x,y)).
T(T(x * y,z),T(x,y)) = T(T(x * y,x),z).
T(x,T(x / y,y)) = T((x / y) * y,x / y).
T((x / y) * y,x / y) = T(x,T(x / y,y)).
x * (x * y) = T(x,y) * (y * x).
T(x,y) * (y * x) = x * (x * y).
(x * y) \ (y * x) = K(T(y,T(x,y)),T(x,y)).
K(T(x,T(y,x)),T(y,x)) = (y * x) \ (x * y).
(x \ T(y,x \ y)) * y = y * (x \ y).
T((x * y) * (x \ 1),((x * y) \ y) \ y) = T((x * y) * (x \ 1),x * y).
(x / y) / T(1 / y,x) = (1 / y) \ (x / y).
x / T((1 / y) * x,y) = ((1 / y) * x) \ x.
((1 / x) \ y) / T(y,x) = y \ ((1 / x) \ y).
T(R(T(x,y),z,u) / (R(x,z,u) / y),R(x,z,u)) = R(x,z,u) / (R(x,z,u) / y).
R(1 / (x / y),y,y \ x) = 1 / (y \ T(x,y \ x)).
(x \ y) * x = (y / x) * (y / (y / x)).
(x / y) * (x / (x / y)) = (y \ x) * y.
T(x / y,(y \ x) * y) = T(x / y,x).
T(x / y,x) = L(y \ x,y,y \ x).
L(x \ y,x,x \ y) = T(y / x,y).
1 \ (1 / x) = L(x \ 1,x,x \ 1).
L(x \ 1,x,x \ 1) = 1 \ (1 / x).
K(T(x,y),y) = K(x,(x * y) / x).
K(T(x,x \ y),x \ y) = K(x,y / x).
K((x \ y) \ y,x \ y) = K(x,y / x).
R(R(K(x,x \ 1),y,z),x,x \ 1) = R(K(x,1 / x),y,z).
x * (T(x,y) \ (y / x)) = x \ T(x * (y / x),x).
x \ T(x * (y / x),x) = x * (T(x,y) \ (y / x)).
T((x / y) * y,x / y) = T(x,y \ x).
K(x,y) = K(T(x,T(y,x)),T(y,x)).
K(T(x,T(y,x)),T(y,x)) = K(x,y).
T(x,y) * R(y,z,u) = x * R((x * y) / x,z,u).
x \ T(x * y,x \ (x * y)) = T(y * x,y) / x.
(x \ y) * R(x,z,u) = (y / x) * R(((y / x) * x) / (y / x),z,u).
(x / y) * R(((x / y) * y) / (x / y),z,u) = (y \ x) * R(y,z,u).
T(x,y) * R(y,x,x \ 1) = x * ((x * y) * (x \ 1)).
x \ T(x * y,y) = T(y * x,y) / x.
T(x * y,x) / y = y \ T(y * x,x).
((x * y) * x) / (x * y) = y \ T(y * x,x).
T(x \ T(x * y,y),x * R(y,x,y)) = L(R(y,x,y),x,(x * R(y,x,y)) / x).
R(R(K(x,x \ 1),y,z),x,x \ 1) = R(K(x,x \ 1),y,z).
R(K(R(x,y,z),1 / x),x,x \ 1) = R(K(x,x \ 1),y,z).
T(R(T(x,y),x \ 1,y) * ((x \ 1) * y),R(x,x \ 1,y)) = y.
T(x,T(y,T(x,y))) * (T(x,y) \ y) = T((x * y) / x,T(x,y)).
T(T(x,y) * (y / x),T(x,x \ y)) = x * (y / x).
x * (y / x) = T(T(x,y) * (y / x),T(x,y)).
T(T(x,y) * (y / x),T(x,y)) = x * (y / x).
(x * y) / T(y \ 1,x * y) = ((1 / y) \ x) * y.
T((T(x,y) * (x \ 1)) * y,R(x,x \ 1,y)) = y.
T((x \ T(x,y)) * y,R(x,x \ 1,y)) = y.
x = T((y \ T(y,x)) * x,y).
T((x \ T(x,y)) * y,x) = y.
(R((x \ T(x,y)) * y,z,u) * x) * y = (((x \ T(x,y)) * y) * x) * R(T((x \ T(x,y)) * y,x),z,u).
(((x \ T(x,y)) * y) * x) * R(T((x \ T(x,y)) * y,x),z,u) = (R((x \ T(x,y)) * y,z,u) * x) * y.
T(x,y) = T(x,(x \ T(x,y)) * y).
T(x,(x \ T(x,y)) * y) = T(x,y).
(x / y) \ T(x,(x \ T(x,y)) * y) = (x \ T(x,y)) * y.
(x / y) \ T(x,y) = (x \ T(x,y)) * y.
(x \ T(x,y)) * y = (x * y) / x.
((x * y) / x) / y = x \ T(x,y).
T(x,T(y,x)) * (T(x,y) \ y) = T((x * y) / x,T(x,y)).
T(x,y) * (T(x,y) \ y) = T((x * y) / x,T(x,y)).
T((x * y) / x,T(x,y)) = T(x,y) * (T(x,y) \ y).
T((x * y) / x,T(x,y)) = y.
R(x,y,x) = R(x,T(y,x),x).
R(x,T(y,x),x) = R(x,y,x).
T(x \ T(x * y,y),T(y * x,y)) = y.
T(x,y) * R(y,x,y) = T(x * y,y).
T(x * y,y) / R(y,x,y) = T(x,y).
(x \ y) \ y = R(T(x,y),x \ y,T(x,y)).
R(T(x,y),x \ y,T(x,y)) = (x \ y) \ y.
T(x,y) * (x \ T(y,x * y)) = (L(y,x,y) * x) / x.
T(x,y) * (x \ T(y,x * y)) = L(y,x,y).
x * L(y,x,y) = T(x,y) * T(y,x * y).
T(x,y) * T(y,x * y) = x * L(y,x,y).
K(x \ (x / (((x * y) / x) \ 1)),x) = (T(x,y) * (x \ y)) \ y.
K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y.
(x / y) * R(x / (x / y),z,u) = (y \ x) * R(y,z,u).
(1 / x) * ((x \ 1) * R(x,y,z)) = ((1 / x) * (1 / x)) * R(x,y,z).
((1 / x) * (1 / x)) * R(x,y,z) = (1 / x) * ((x \ 1) * R(x,y,z)).
((1 / x) * (1 / x)) * R(x,y,z) = (x \ 1) * ((1 / x) * R(x,y,z)).
((1 / x) * (1 / x)) * R(x,y,z) = (x \ 1) * (x \ R(x,y,z)).
((x \ 1) / x) * R(x,y,z) = (x \ 1) * (x \ R(x,y,z)).
(x \ 1) * (x \ R(x,y,z)) = x \ (x \ R(x,y,z)).
T((x * y) * (x \ 1),x * y) = T((x * y) * (x \ 1),T(x * y,y)).
T((x * y) * (x \ 1),T(x * y,y)) = T((x * y) * (x \ 1),x * y).
x \ (T(y,x) * (y \ x)) = (T(y,x) * (y \ x)) * (x \ 1).
(T(x,y) * (x \ y)) * (y \ 1) = y \ (T(x,y) * (x \ y)).
((x * y) / x) * (y \ 1) = y \ (T(x,y) * (x \ y)).
x \ (T(y,x) * (y \ x)) = ((y * x) / y) * (x \ 1).
x \ ((y * x) / y) = ((y * x) / y) * (x \ 1).
((x * y) / x) * (y \ 1) = y \ ((x * y) / x).
R((x * y) / x,y \ 1,(y \ 1) \ 1) / ((y \ 1) \ 1) = y \ ((x * y) / x).
(x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)).
R(x,x \ ((y * x) / y),y) = (y * x) / T(y,R(x,x \ 1,y)).
(x * y) / T(x,R(y,y \ 1,x)) = R(y,y \ ((x * y) / x),x).
(x * y) / T(x,y) = R(y,y \ ((x * y) / x),x).
R(x,x \ ((y * x) / y),y) = (y * x) / T(y,x).
R(x,x \ ((y * x) / y),y) = x.
((x * (x \ ((y * x) / y))) * y) \ ((x * (x \ ((y * x) / y))) * y) = a(R(x,x \ ((y * x) / y),y),x \ ((y * x) / y),y).
R((x * y) / x,y,y \ 1) / ((y \ 1) \ 1) = y \ ((x * y) / x).
((x * ((y \ 1) \ 1)) / x) / ((y \ 1) \ 1) = y \ ((x * y) / x).
x \ ((y * x) / y) = y \ T(y,(x \ 1) \ 1).
x \ T(x,(y \ 1) \ 1) = y \ ((x * y) / x).
x \ T(x,y) = y \ ((x * y) / x).
x \ ((y * x) / y) = y \ T(y,x).
x * (y \ T(y,x)) = (y * x) / y.
(x * y) / x != y * z | x \ T(x,y) = z.
x * ((x \ y) \ (((x \ y) \ y) \ y)) = ((x \ y) * x) / (x \ y).
T(x / y,T(y,y \ x)) * ((y \ x) \ y) = T(((x / y) * y) / (x / y),y \ x).
T(x \ T(x * y,y),T(y * x,y)) = L(R(y,x,y),x,(x * R(y,x,y)) / x).
L(R(x,y,x),y,(y * R(x,y,x)) / y) = T(y \ T(y * x,x),T(x * y,x)).
L(R(x,y,x),y,(y * R(x,y,x)) / y) = x.
x = L(R(x,y,x),y,R(x,y,x)).
L(R(x,y,x),y,R(x,y,x)) = x.
(R(x,y,x) * (y * R(x,y,x))) \ (x * (R(x,y,x) * y)) = K(L(R(x,y,x),y,R(x,y,x)),R(x,y,x) * y).
T(x / y,T(y,y \ x)) * ((y \ x) \ y) = T(x / (x / y),y \ x).
(x \ y) * ((x \ y) \ x) = T(y / (y / x),x \ y).
T(x / (x / y),y \ x) = (y \ x) * ((y \ x) \ y).
T(x / (x / y),y \ x) = y.
(x \ y) * x = (y / (y / x)) * (x \ y).
(x / (x / y)) * (y \ x) = (y \ x) * y.
((x \ y) * x) / (x \ y) = y / (y / x).
T(x / (x / y),x) = L(y,y \ x,y).
T(x / (x / y),T(y \ x,(y \ x) * y)) = (y \ x) \ ((y \ x) * y).
x \ (y / (y / x)) = (x \ y) \ T(x \ y,x).
(x \ y) \ T(x \ y,x) = x \ (y / (y / x)).
x * ((x \ y) \ (((x \ y) \ y) \ y)) = y / (y / x).
T(x / (x / y),T(y \ x,y * (y \ x))) = (y \ x) \ ((y \ x) * y).
T(x / (x / y),T(y \ x,x)) = (y \ x) \ ((y \ x) * y).
T(x / (x / y),T(y \ x,x)) = y.
T(T(x \ y,y),x) = T(T(x \ y,y),y / (y / x)).
T(T(x \ y,y),y / (y / x)) = T(T(x \ y,y),x).
R(x,y,z) / (R(x,y,z) / u) = T(R(T(x,u),y,z) / (R(x,y,z) / u),x).
T(R(T(x,y),z,u) / (R(x,z,u) / y),x) = R(x,z,u) / (R(x,z,u) / y).
R(x * y,z,u) \ R(x * (y * w),z,u) = L(R(w,z,u),R(y,z,u),R(x,z,u)).
L(R(x,y,z),R(u,y,z),R(w,y,z)) = R(w * u,y,z) \ R(w * (u * x),y,z).
L(R(x,y,z),R(u,y,z),R(w,y,z)) = R((w * u) \ (w * (u * x)),y,z).
R((x * y) \ (x * (y * z)),u,w) = L(R(z,u,w),R(y,u,w),R(x,u,w)).
R(L(x,y,z),u,w) = L(R(x,u,w),R(y,u,w),R(z,u,w)).
L(R(x,y,z),R(u,y,z),R(w,y,z)) = R(L(x,u,w),y,z).
L(R(x,y,z),u,w) = L(R(x,y,z),R(u,y,z),R(w,y,z)).
L(R(x,y,z),R(u,y,z),R(w,y,z)) = L(R(x,y,z),u,w).
L(x,R(y,z,x),R(u,z,x)) = L(R(L(x,z,x),z,x),y,u).
L(R(L(x,y,x),y,x),z,u) = L(x,R(z,y,x),R(u,y,x)).
L(x,y,z) = L(x,R(y,u,x),R(z,u,x)).
L(x,R(y,z,x),R(u,z,x)) = L(x,y,u).
(x / L((y \ 1) \ 1,y \ 1,1 / (1 / y))) * ((y \ 1) \ 1) = (1 / y) * ((y \ 1) \ x).
(x / y) * ((y \ 1) \ 1) = (1 / y) * ((y \ 1) \ x).
(1 / x) * ((x \ 1) \ y) = (y / x) * ((x \ 1) \ 1).
(1 / x) * ((x \ 1) \ (y * x)) = y * ((x \ 1) \ 1).
(1 / x) * ((x \ 1) \ R(y,x,x \ 1)) = (y * (1 / x)) * ((x \ 1) \ 1).
(x \ 1) * (y * ((x \ 1) \ 1)) = (1 / x) * (y * x).
(1 / x) * (y * x) != (x \ 1) * z | y * ((x \ 1) \ 1) = z.
(x \ 1) * y != (1 / x) * (z * x) | z * ((x \ 1) \ 1) = y.
K(x * ((y \ 1) \ 1),y \ 1) = ((1 / y) * (x * y)) \ ((x * ((y \ 1) \ 1)) * (y \ 1)).
((1 / x) * (y * x)) \ ((y * ((x \ 1) \ 1)) * (x \ 1)) = K(y * ((x \ 1) \ 1),x \ 1).
(1 / x) * T(y * x,x \ 1) = (y * (1 / x)) * ((x \ 1) \ 1).
(x * (1 / y)) * ((y \ 1) \ 1) = (x * y) * (1 / y).
K(R(x,y,z) \ R(x * u,y,z),R(x,y,z)) = R(x * u,y,z) \ R(u * x,y,z).
K(R(x,y,z) \ R(x * u,y,z),R(x,y,z)) = R((x * u) \ (u * x),y,z).
R((x * y) \ (y * x),z,u) = K(R(x,z,u) \ R(x * y,z,u),R(x,z,u)).
R(K(x,y),z,u) = K(R(y,z,u) \ R(y * x,z,u),R(y,z,u)).
K(R(x,y,z) \ R(x * u,y,z),R(x,y,z)) = R(K(u,x),y,z).
K(R(x,y,z),R(u,y,z)) = R(K(x,u),y,z).
K(x / (y * z),R(u,y,z)) = R(K((x / z) / y,u),y,z).
R(K((x / y) / z,u),z,y) = K(x / (z * y),R(u,z,y)).
K(R(x,y,y \ 1),y \ 1) = R(K(x,1 / y),y,y \ 1).
R(K(x,1 / y),y,y \ 1) = K(R(x,y,y \ 1),y \ 1).
K(x * (y \ 1),R(z,y,y \ 1)) = R(K(x / y,z),y,y \ 1).
K((x * y) / z,R(u,z / y,y)) = R(K(x / (z / y),u),z / y,y).
R(K(x / (y / z),u),y / z,z) = K((x * z) / y,R(u,y / z,z)).
K(T(x / (y * x),z),R(u,y,x)) = R(K(T(1 / y,z),u),y,x).
K((x \ 1) \ 1,R(y,x,x \ 1)) = R(K(x,y),x,x \ 1).
K((x / y) \ 1,R(z,y / x,x)) = R(K(y / x,z),y / x,x).
K(T(x,y),R(z,y,T(x,y))) = R(K(T(x,x * y),z),y,T(x,y)).
R(K(T(x,x * y),z),y,T(x,y)) = K(T(x,y),R(z,y,T(x,y))).
K(x * y,R(z,y,y \ 1)) = R(K(x / (1 / y),z),y,y \ 1).
R(K(x / (1 / y),z),y,y \ 1) = K(x * y,R(z,y,y \ 1)).
K(x,R(y,z,x)) = R(K(L(x,z,x),y),z,x).
R(K(L(x,y,x),z),y,x) = K(x,R(z,y,x)).
K(R(R(x,y,z),x,x \ 1),x \ 1) = R(K(x,x \ 1),y,z).
K(R((x \ 1) \ 1,y,z),x \ 1) = R(K(x,x \ 1),y,z).
K(R((x \ 1) \ 1,y,z),x \ 1) = K(R(x,y,z),1 / x).
(x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y).
(R(x,y,z) * u) * K(u,x) = u * (K(u,x) * R(K(u,x) \ x,y,z)).
x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y).
R((x / y) * z,y,y \ 1) / R((1 / y) * z,y,y \ 1) = R(x,y \ 1,R(z,y,y \ 1)).
R(x,y \ 1,R(z,y,y \ 1)) = R(((x / y) * z) / ((1 / y) * z),y,y \ 1).
R(((x / y) * z) / ((1 / y) * z),y,y \ 1) = R(x,y \ 1,R(z,y,y \ 1)).
K(x \ 1,x) * R(K(x \ 1,x) \ x,y,z) = R((x \ 1) \ 1,y,z) * (((x \ 1) \ 1) \ x).
R((x \ 1) \ 1,y,z) * (((x \ 1) \ 1) \ x) = K(x \ 1,x) * R(K(x \ 1,x) \ x,y,z).
R((x \ 1) \ 1,y,z) * (((x \ 1) \ 1) \ x) = K(x \ 1,x) * R(T(x,x \ 1),y,z).
R((x \ 1) \ 1,y,z) * K(x \ 1,x) = K(x \ 1,x) * R(T(x,x \ 1),y,z).
K(x \ 1,x) * R(T(x,x \ 1),y,z) = (x \ R(x,y,z)) * x.
((x \ R(x,y,z)) * x) / R(T(x,x \ 1),y,z) = K(x \ 1,x).
R(x,y,z) / R(T(x,x \ 1),y,z) = K(x \ 1,x).
K(x \ 1,x) = R(x / T(x,x \ 1),y,z).
R(x / T(x,x \ 1),y,z) = K(x \ 1,x).
R(K(x \ 1,x),y,z) = K(x \ 1,x).
K(x \ 1,x) \ y = K(x,x \ 1) * y.
K(x \ 1,x) = K(R(x \ 1,y,z),x).
K(R(x \ 1,y,z),x) = K(x \ 1,x).
K(x \ 1,x) \ ((x \ 1) * y) = (1 / x) * y.
K((x \ 1) \ 1,x \ 1) = K(R(x,y,z),1 / x).
K(R(x,y,z),1 / x) = K((x \ 1) \ 1,x \ 1).
K(x,x \ 1) * (x \ 1) = 1 / x.
(1 / x) * y = L(x \ y,x,x \ 1).
L(x \ y,x,x \ 1) = (1 / x) * y.
L(x,y,y \ 1) = (1 / y) * (y * x).
(1 / x) * (x * y) = L(y,x,x \ 1).
L(T(x,y),y,y \ 1) = (1 / y) * (x * y).
L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z).
L(R(x \ y,z,u),x,x \ 1) = R((1 / x) * y,z,u).
L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y.
x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x.
L(R(x,y,x),y,y \ 1) = (1 / y) * T(x * y,x).
L(x,y,y \ 1) / (y * x) = 1 / y.
(1 / x) \ L(y,x,x \ 1) = x * y.
R(1 / x,y,z) * (R(x,y,z) * u) = L(u,R(x,y,z),R(x,y,z) \ 1).
(x * y) / T(L(y,x,x \ 1),x) = ((1 / x) * (x * y)) \ (x * y).
(1 / x) \ L(L(y,x,x \ 1),z,u) = x * L(y,z,u).
K(R(x,y,z),1 / x) = K(x,1 / x).
K(R(x,y,z),1 / x) = K(x,x \ 1).
R(K(x,x \ 1),y,z) = K(x,x \ 1).
R(x,y,z) * K(u,u \ 1) = R(x * K(u,u \ 1),y,z).
R(x * K(y,y \ 1),z,u) = R(x,z,u) * K(y,y \ 1).
T((1 / x) * y,x) = (1 / x) * ((x \ y) * x).
(1 / x) * ((x \ y) * x) = T((1 / x) * y,x).
T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z.
(1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z).
R(x * K(y,y \ 1),y,1 / y) = (x * y) * (1 / y).
(x * y) / L(T(y,x),x,x \ 1) = ((1 / x) * (x * y)) \ (x * y).
(x * y) / ((1 / x) * (y * x)) = ((1 / x) * (x * y)) \ (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).
R(1 / x,y,z) * (R(x,y,z) * u) = L(u,R(x,y,z),R(x \ 1,y,z)).
(R(x,y,y \ 1) * (y \ R(y,z,u))) / (y \ 1) = (x * y) * (R(y \ 1,z,u) \ (y \ 1)).
R(x * (R(y,z,u) / y),y,y \ 1) / (y \ 1) = (x * y) * (R(y \ 1,z,u) \ (y \ 1)).
(x * y) * (R(y \ 1,z,u) \ (y \ 1)) = (x * (R(y,z,u) / y)) * y.
(x * y) * (y \ R(y,z,u)) = (x * (R(y,z,u) / y)) * y.
(x * (R(y,z,u) / y)) * y = (x * y) * (y \ R(y,z,u)).
((x * y) * (y \ R(y,z,u))) / R(y,z,u) = R(x,R(y,z,u) / y,y).
R(x,R(y,z,u) / y,y) = R(x,y,y \ R(y,z,u)).
R(x,y \ R(y,z,u),y) = R(x,y,y \ R(y,z,u)).
R(x \ R(x,y,z),x,x \ R(x,y,z)) = (x / R(x,y,z)) \ 1.
(x / R(x,y,z)) \ 1 = x \ R(x,y,z).
(x / R(x,y,z)) * (x \ R(x,y,z)) = 1.
(R(x,y,z) \ x) \ 1 = x \ R(x,y,z).
((x / (y * x)) * y) \ 1 = y \ R(y,y,x).
(R(x,y,z) \ x) * (x \ R(x,y,z)) = 1.
(L(R(x,y,z),u,w) \ L(x,u,w)) \ 1 = L(x,u,w) \ R(L(x,u,w),y,z).
1 / (x \ R(x,y,z)) = R(x,y,z) \ x.
((x \ y) * (y \ x)) \ 1 = x \ R(x,x \ y,y \ x).
x \ R(x,x \ y,y \ x) = ((x \ y) * (y \ x)) \ 1.
(x \ (y * R(y \ x,z,u))) \ 1 = (x \ y) \ R(x \ y,z,u).
(((x \ y) / y) * x) * (x \ R(x,x,x \ y)) = 1.
((x / (y * x)) * y) \ 1 = y \ ((x / (y * x)) \ 1).
(((x \ y) / y) * x) * (x \ (((x \ y) / y) \ 1)) = 1.
(((x \ y) / y) * x) \ 1 = x \ (((x \ y) / y) \ 1).
(((x \ T(x,y)) * y) * x) * R(T((x \ T(x,y)) * y,x),z,u) = (R((x * y) / x,z,u) * x) * y.
(((x \ T(x,y)) * y) * x) * R(T((x \ T(x,y)) * y,x),z,u) = (x * R(x \ (x * y),z,u)) * y.
(((x \ T(x,y)) * y) * x) * R(T((x \ T(x,y)) * y,x),z,u) = (x * R(y,z,u)) * y.
(((x * y) / x) * x) * R(T((x \ T(x,y)) * y,x),z,u) = (x * R(y,z,u)) * y.
(x * y) * R(T((x \ T(x,y)) * y,x),z,u) = (x * R(y,z,u)) * y.
(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 * y = ((x / R(y,z,u)) * y) * R(y,z,u).
((x / R(y,z,u)) * y) * R(y,z,u) = x * y.
T(x * y,x) * x = (y * x) * R(x,y,x).
(x * y) * R(y,x,y) = T(y * x,y) * y.
((x * y) * x) \ (T(x * y,x) * x) = K(y * x,R(x,y,x)).
(x * (R(x,y,z) \ u)) * R(x,y,z) = u * x.
(x * y) / R(y,z,u) = y * (R(y,z,u) \ x).
(x * (R(x,y,z) \ u)) \ (u * x) = R(x,y,z).
x * y != ((y / z) \ 1) * z | x = (z / y) * (z / y).
x * (R(x,y,z) \ ((R(x,y,z) / x) \ 1)) = (x / R(x,y,z)) * (x / R(x,y,z)).
(x * y) * R(x,z,u) = (R(x,z,u) * y) * x.
(R(x,y,z) * u) * x = (x * u) * R(x,y,z).
x * y != z * R(y,u,w) | y * (R(y,u,w) \ x) = z.
x * R(y,z,u) != w * y | y * (R(y,z,u) \ w) = x.
(x * (x \ (R(x,y,z) \ u))) * R(x,y,z) = (x \ u) * x.
x / R(y \ x,z,u) = (y \ x) * (R(y \ x,z,u) \ y).
(x \ y) * (R(x \ y,z,u) \ x) = y / R(x \ y,z,u).
(x * ((x \ 1) * y)) \ (y * x) = R(x,x \ 1,y).
(x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = a(R(x,z,u),y,x).
L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x).
R(x,x \ 1,y) = y * (L(y,x \ 1,x) \ x).
x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x).
(R(x,y,z) \ u) * R(x,y,z) = (x \ u) * x.
x \ ((y \ x) * y) = K(R(y,z,u) \ x,R(y,z,u)).
K(R(x,y,z) \ u,R(x,y,z)) = u \ ((x \ u) * x).
(x \ 1) * R(x,y,z) = (x \ (x \ R(x,y,z))) * x.
(x \ (x \ R(x,y,z))) * x = (x \ 1) * R(x,y,z).
K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,x).
K(x * y,R(y,x,y)) = K(T(y * x,y),y).
a(x,y,R(x,z,u)) = a(R(x,z,u),y,x).
a(R(x,y,z),u,x) = a(x,u,R(x,y,z)).
x * (R(x,y,z) \ ((x \ R(x,y,z)) \ 1)) = (x / R(x,y,z)) * (x / R(x,y,z)).
(R(x,y,x) * T(x * y,x)) \ (x * (R(x,y,x) * y)) = K(L(R(x,y,x),y,R(x,y,x)),R(x,y,x) * y).
K(L(R(x,y,x),y,R(x,y,x)),R(x,y,x) * y) = (R(x,y,x) * T(x * y,x)) \ (x * (R(x,y,x) * y)).
K(L(R(x,y,x),y,R(x,y,x)),R(x,y,x) * y) = ((x * y) * R(x,y,x)) \ (x * (R(x,y,x) * y)).
K(L(R(x,y,x),y,R(x,y,x)),R(x,y,x) * y) = ((x * y) * R(x,y,x)) \ ((x * y) * T(x,y)).
K(x,R(x,y,x) * y) = ((x * y) * R(x,y,x)) \ ((x * y) * T(x,y)).
((x * y) * R(x,y,x)) \ ((x * y) * T(x,y)) = K(x,R(x,y,x) * y).
K(x,R(x,y,x) * y) = K(R(x,y,T(x,y)),y * T(x,y)).
K(R(x,y,T(x,y)),y * T(x,y)) = K(x,R(x,y,x) * y).
K(R(x,y,x),y * T(x,y)) = K(x,R(x,y,x) * y).
K(R(x,y,x),x * y) = K(x,R(x,y,x) * y).
K(x,L(x,y,x) * y) = K(L(x,y,x),R(L(x,y,x),y,L(x,y,x)) * y).
K(L(x,y,x),R(L(x,y,x),y,L(x,y,x)) * y) = K(x,L(x,y,x) * y).
K(L(x,y,x),x * y) = K(x,L(x,y,x) * y).
(R(x,y,z) * (x \ T(x,u))) / T((R(x,y,z) * (x \ 1)) \ R(x,y,z),u) = x \ R(x,y,z).
(R(x,y,z) * (x \ T(x,u))) / T((x \ R(x,y,z)) \ R(x,y,z),u) = x \ R(x,y,z).
(R(x,y,z) * (x \ T(x,u))) / T(x,u) = x \ R(x,y,z).
(x * (R(x \ 1,y,z) * T(R((x \ 1) \ 1,y,z),u))) / T((x * R(x \ 1,y,z)) \ x,u) = R(x,y,z) \ x.
(x * (R(x \ 1,y,z) * R(T((x \ 1) \ 1,u),y,z))) / T((x * R(x \ 1,y,z)) \ x,u) = R(x,y,z) \ x.
(x * R((x \ 1) * T((x \ 1) \ 1,y),z,u)) / T((x * R(x \ 1,z,u)) \ x,y) = R(x,z,u) \ x.
(x * R(x \ T(x,y),z,u)) / T((x * R(x \ 1,z,u)) \ x,y) = R(x,z,u) \ x.
(x * R(x \ T(x,y),z,u)) / T((R(x,z,u) \ x) \ x,y) = R(x,z,u) \ x.
(x * R(x \ T(x,y),z,u)) / T(R(x,z,u),y) = R(x,z,u) \ x.
(x * R(x \ T(x,y),z,u)) / R(T(x,y),z,u) = R(x,z,u) \ x.
(x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(R(z,u,w),y,x) \ ((x * y) \ (x * (y * z))).
T(R(((1 / x) / y) * (1 / y),y,x) * (y * x),(y * x) \ 1) = (x * ((y * x) \ 1)) / ((y * x) * ((y * x) \ 1)).
(x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(R(z,u,w),y,x) \ L(z,y,x).
(x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(R(z,u,w),y,x) \ L(z,y,x).
(x * y) \ (x * (y * (R(z,u,w) \ z))) = L(R(z,u,w),y,x) \ L(z,y,x).
L(R(x,y,z) \ x,u,w) = L(R(x,y,z),u,w) \ L(x,u,w).
L(R(x,y,z),u,w) \ L(x,u,w) = L(R(x,y,z) \ x,u,w).
L(R(x,y,z) \ x,u,w) \ 1 = L(x,u,w) \ R(L(x,u,w),y,z).
L(x,y,z) \ R(L(x,y,z),u,w) = L(R(x,u,w) \ x,y,z) \ 1.
L(x,y,z) \ L(R(x,u,w),y,z) = L(R(x,u,w) \ x,y,z) \ 1.
R(L(R(x,y,z) \ x,u,x) \ 1,u,x) = R(R(L(x,u,x),y,z),u,x) / x.
R(L(R(x,y,z) \ x,u,x) \ 1,u,x) = R(L(R(x,y,z),u,x),u,x) / x.
R(L(R(x,y,z) \ x,u,x) \ 1,u,x) = L(R(R(x,y,z),u,x),u,x) / x.
R(L(R(x,y,z) \ x,u,x) \ 1,u,x) = R(x,y,z) / x.
R(L(R(x,y,z) \ x,u,x) \ 1,u,x) = x \ R(x,y,z).
T(((((1 / x) / y) * (1 / y)) * y) * x,(y * x) \ 1) = (x * ((y * x) \ 1)) / ((y * x) * ((y * x) \ 1)).
T(R((1 / x) / y,y,y \ 1) * x,(y * x) \ 1) = (x * ((y * x) \ 1)) / ((y * x) * ((y * x) \ 1)).
T(((1 / x) * (y \ 1)) * x,(y * x) \ 1) = (x * ((y * x) \ 1)) / ((y * x) * ((y * x) \ 1)).
(x * ((y * x) \ 1)) / ((y * x) * ((y * x) \ 1)) = T(((1 / x) * (y \ 1)) * x,(y * x) \ 1).
((x \ 1) \ 1) * ((1 / (1 / ((x \ 1) \ 1))) \ R(y,x,x \ 1)) = (1 / (x \ 1)) \ R(x * y,x,x \ 1).
((x \ 1) \ 1) * ((1 / (1 / ((x \ 1) \ 1))) \ R(y,x,x \ 1)) = x \ R(x * y,x,x \ 1).
((x \ 1) \ 1) * ((1 / (1 / ((x \ 1) \ 1))) \ R(y,x,x \ 1)) = T((x * y) * (1 / x),x).
((x \ 1) \ 1) * ((1 / (x \ 1)) \ R(y,x,x \ 1)) = T((x * y) * (1 / x),x).
((x \ 1) \ 1) * (x \ R(y,x,x \ 1)) = T((x * y) * (1 / x),x).
((x \ 1) \ 1) * T(y * (1 / x),x) = T((x * y) * (1 / x),x).
T((x * y) * (1 / x),x) = (y * (1 / x)) * ((x \ 1) \ 1).
T((x * y) * (1 / x),x) = (y * x) * (1 / x).
T(((x \ y) * x) * (1 / (x \ y)),x \ y) = y * (1 / (x \ y)).
T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z.
(x * y) * (1 / y) = (x * ((y \ 1) \ 1)) * (y \ 1).
(x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y).
((1 / x) * (y * x)) \ ((y * x) * (1 / x)) = K(y * ((x \ 1) \ 1),x \ 1).
x * (1 / (y \ z)) != T(((y \ z) * y) * (1 / (y \ z)),y \ z) | x = z.
T(((x \ y) * x) * (1 / (x \ y)),x \ y) != z * (1 / (x \ y)) | z = y.
K(x * y,1 / y) = K(x * ((y \ 1) \ 1),y \ 1).
K(x * ((y \ 1) \ 1),y \ 1) = K(x * y,1 / y).
a(R(x,x \ ((y * x) / y),y),x \ ((y * x) / y),y) = 1.
a(x,x \ ((y * x) / y),y) = 1.
a(T(x,y),T(x,y) \ ((x * y) / y),y) = 1.
a(T(x,y),T(x,y) \ x,y) = 1.
R(T(x,y),(T(x,y) \ x) * y,1) \ ((T(x,y) * (T(x,y) \ x)) * y) = ((T(x,y) \ x) * y) * a(T(x,y),T(x,y) \ x,y).
T(x,y) \ ((T(x,y) * (T(x,y) \ x)) * y) = ((T(x,y) \ x) * y) * a(T(x,y),T(x,y) \ x,y).
((T(x,y) \ x) * y) * a(T(x,y),T(x,y) \ x,y) = T(x,y) \ ((T(x,y) * (T(x,y) \ x)) * y).
((T(x,y) \ x) * y) * a(T(x,y),T(x,y) \ x,y) = T(x,y) \ (x * y).
((T(x,y) \ x) * y) * a(T(x,y),T(x,y) \ x,y) = x * (T(x,y) \ y).
((T(x,y) \ x) * y) * a(T(x,y),T(x,y) \ x,y) = T(y,x).
((T(x,y) \ x) * y) * 1 = T(y,x).
(T(x,y) \ x) * y = T(y,x).
T(x,y) / x = T(y,x) \ y.
T(x,y) \ x = T(y,x) / y.
T(T(x,y) \ x,y) = y \ T(y,x).
(R(T(x,y),z,u) \ R(x,z,u)) * y = T(y,R(x,z,u)).
R(T(x,y) \ x,y,z) \ (T(y,x) * z) = y * z.
R((1 / x) * T(x,y),z,u) = (1 / x) * (R(T(y,x) \ y,z,u) * x).
(1 / x) * (R(T(y,x) \ y,z,u) * x) = R((1 / x) * T(x,y),z,u).
R(x,y,z) * T(T(u,R(x,y,z)) \ u,x) = T(R(x,y,z),u).
T(x,y \ 1) \ x = y * T(y \ 1,x).
x \ (T(y,x \ 1) \ y) = T(x \ 1,y).
x \ (y * (T(z,(y \ x) \ 1) \ z)) = L(T((y \ x) \ 1,z),y \ x,y).
L(T((x \ y) \ 1,z),x \ y,x) = y \ (x * (T(z,(x \ y) \ 1) \ z)).
R(T(x,y) \ x,z,u) * y = T(y,R(x,z,u)).
R(T(x,y) \ x,z,u) * y = T(y,x).
x * y != T(y,z) | x = T(z,y) \ z.
R(T(x,y) \ x,z,u) = T(x,y) \ x.
T(x,y) \ x = (z * u) / (((T(x,y) \ x) \ z) * u).
(x * y) / (((T(z,u) \ z) \ x) * y) = T(z,u) \ z.
(T(x,y) \ x) / z = (T(x,y) \ x) * (1 / z).
(T(x,y) \ x) * (1 / z) = (T(x,y) \ x) / z.
(T(x,y) \ x) \ (T(y,x) * z) = y * z.
(T(x,y) \ x) * (y * z) = T(y,x) * z.
(T(x,y) \ x) \ z = y * (T(y,x) \ z).
T(T(x,y) \ x,y * z) = (y * z) \ (T(y,x) * z).
(T(x,y) \ x) \ x = T(x,y).
(T(x,y) \ x) * T(x,y) = x.
(x * y) / (T(x,z) * y) = T(x,z) \ x.
x / (T(y,z) * (y \ x)) = T(y,z) \ y.
(x * (T(x,y) \ z)) / z = T(x,y) \ x.
(T(x,y) \ x) * (T(x,y) * z) = x * z.
(T(x,y) \ x) \ z = T(x,y) * (x \ z).
1 / (x \ T(x,y)) = T(x,y) \ x.
(x * y) / (y * x) = T(y,x) \ y.
(T(x,y) \ x) * (x \ T(x,y)) = 1.
(T(x,y) \ x) * z = x * (T(x,y) \ z).
T(x,y) * (x \ (T(y,x) * z)) = y * z.
T(x,y) * (x \ z) = y * (T(y,x) \ z).
T(x,T(x,y) \ x) = x.
x * (T(x,y) \ (1 / z)) = (T(x,y) \ x) / z.
(T(x,y) \ x) * T(x,z) = T(x,z) * (T(x,y) \ x).
T(x,y) * (T(x,z) \ x) = (T(x,z) \ x) * T(x,y).
T(x,y) \ (y * z) = x \ (T(y,x) * z).
x * (y * z) = T(x,y) * (T(y,x) * z).
T(x,y) * (T(y,x) * z) = x * (y * z).
x * (y * (T(y,x) \ z)) = T(x,y) * z.
x * (T(x,y) \ (T(y,x) \ z)) = y \ z.
T(x * (T(x,y) \ x),y) = x.
x * (T(x,y) \ x) = (y * x) / y.
(x * y) / x = y * (T(y,x) \ y).
x * T(y,z) = T(y * (T(y,x) \ y),z) * x.
T(x * (T(x,y) \ x),z) * y = y * T(x,z).
x \ T(x,y) = T(y,x) \ y.
T(x,y) \ x = y \ T(y,x).
T(x * (T(x,y) \ x),x * y) = L(x,y,x).
x * (T(y,x) \ y) = T(x,y).
T(x,T(y,z)) \ x = T(y,z) \ T(T(y,x),z).
L(T(x,y) \ x,y,x) = (x * y) \ (y * x).
L(x \ T(x,y),T(y,x),x) = (y * x) \ (x * y).
L(T(x,T(y,z)) \ x,T(y,z),z) = (y * z) \ (z * T(T(y,z),x)).
K(x \ (x / (y \ 1)),x) = T(x,y) \ x.
L(R(x \ T(x,y),z,u),T(y,x),x) = R((y * x) \ (x * y),z,u).
T(x,y / (z / u)) \ x = ((y * u) / z) \ T((y * u) / z,x).
T(x,x \ y) \ x = x \ (y / (y / x)).
T(T(x \ y,y),y / (y / x)) \ T(x \ y,y) = (y / (y / x)) \ x.
(x \ T(x,y)) * x = T(x,y).
x \ T(x,y) = T(x,y) / x.
T(x,y) / x = x \ T(x,y).
(x \ T(x,y)) * (x * z) = T(x,y) * z.
(x \ T(x,y)) \ z = x * (T(x,y) \ z).
T(x,y) / L(z \ x,z,x \ T(x,y)) = (x \ T(x,y)) * z.
T((x \ 1) \ 1,y) \ T(x,y) = K(x \ 1,x).
(1 / x) * T(x,y) = x \ T(x,y).
L(T(x,y) \ z,T(x,y),1 / x) = (x \ T(x,y)) \ ((1 / x) * z).
K(x \ (x / ((y * (1 / z)) / y)),x) = (y * (z \ T(z,x))) / y.
T(x,y / x) * ((x \ y) * z) = x * ((y / x) * z).
(x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)).
K(x,y * (T(y,x) \ z)) = ((y * (T(y,x) \ z)) * x) \ (T(x,y) * z).
((x * (T(x,y) \ z)) * y) \ (T(y,x) * z) = K(y,x * (T(x,y) \ z)).
x * ((T(y,x) \ y) * z) = T(x,y) * z.
x \ (y \ z) = T(x,y) \ (T(y,x) \ z).
T(x,y) \ (T(y,x) \ z) = x \ (y \ z).
(T(x,y) \ x) * (T(y,x) \ z) = y \ z.
T(x,(x * y) / x) \ x = ((x * y) / x) \ y.
(x \ T(x,y)) * z = T(x,y) * (x \ z).
(((x * y) / x) \ T((x * y) / x,z)) * T(x,y) = T((x * y) / x,z) * (y \ x).
T(x,y / x) \ ((x \ y) \ z) = x \ ((y / x) \ z).
(x \ T(x,y)) * z != T(x,y) * (x \ L(u,x \ T(x,y),x)) | z = u.
L(x,y \ T(y,z),y) = x.
R(x,x \ T(x,y),z) = (T(x,y) * z) / (T(x,y) * (x \ z)).
(T(x,y) * z) / (T(x,y) * (x \ z)) = R(x,x \ T(x,y),z).
K(x,y) = L(T(y,x) \ y,x,y).
x * y != y * T(z,y * z) | x = L(z,y,z).
T(x * (T(x,y) \ x),y * x) = L(x,y,x).
K(x \ 1,x) = T(K(x \ 1,x),y).
T(K(x \ 1,x),y) = K(x \ 1,x).
T(x,K(y \ 1,y)) = x.
x * K(y \ 1,y) = K(y \ 1,y) * x.
K(x \ 1,x) * y = y * K(x \ 1,x).
T(x,K(y,1 / y)) = x.
T(x,K(y,y \ 1)) = x.
x * K(y,y \ 1) = K(y,y \ 1) * x.
K(x,x \ 1) * y = y * K(x,x \ 1).
T(x,y) \ x = ((x * y) / x) \ y.
((x * y) / x) \ y = T(x,y) \ x.
((x * y) / x) * (T(x,y) \ x) = y.
K(x,y) = L(x \ T(x,y),T(y,x),x).
L(x,y,z) = L(x,T(y,z),T(z,y)).
L(x,T(y,z),T(z,y)) = L(x,y,z).
T(x,y) * (T(x,z) \ x) = x * (T(x,z) \ T(x,y)).
T(x,x \ y) * ((x \ y) * z) = x * ((y / x) * z).
((x \ y) \ y) * ((x \ y) * z) = x * ((y / x) * z).
T(x,x \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z).
T(x,x \ y) \ T(z,x \ y) = x \ ((y / x) \ (z * (x \ y))).
R(x,y,z) * T(T(u,x) \ u,x) = T(R(x,y,z),u).
R(x,y,z) * (x \ T(x,u)) = T(R(x,y,z),u).
R(T(x,y),z,u) = R(x,z,u) * (x \ T(x,y)).
R(x,y,z) * (x \ T(x,u)) = R(T(x,u),y,z).
R(T(x,y),z,u) / T(x,y) = x \ R(x,z,u).
(x \ R(x,y,z)) * T(x,u) = R(T(x,u),y,z).
x \ R(x,y,z) = T(x,u) \ R(T(x,u),y,z).
T(x,y) \ R(T(x,y),z,u) = x \ R(x,z,u).
(x \ y) \ R(T(y / x,x),z,u) = (y / x) \ R(y / x,z,u).
L(x,y,x) \ R(T((y * x) / y,x * y),z,u) = ((y * x) / y) \ R((y * x) / y,z,u).
T(x / y,z) \ T((x * u) / (y * u),z) = (x / y) \ R(x / y,y,u).
T(x,x * y) \ T(x,y) = x \ R(x,y,x).
T(x,y) / L(z \ x,z,x \ T(x,y)) = T(x,y) * (x \ z).
R(x,x \ T(x,y),z) = x.
R(x,T(y,x) \ y,z) = x.
(x \ y) \ R(x \ y,z,u) = (y / x) \ R(y / x,z,u).
(x / y) \ R(x / y,z,u) = (y \ x) \ R(y \ x,z,u).
L(T(x,T(y,z)) \ x,T(y,z),z) = (y * z) \ (T(y,x) * z).
L(T(x,y) \ z,T(x,y),1 / x) = x * (T(x,y) \ ((1 / x) * z)).
(1 / x) * T(x,y) = R((1 / x) * T(x,y),z,u).
R((1 / x) * T(x,y),z,u) = (1 / x) * T(x,y).
R((1 / x) * T(x,y),z,u) = x \ T(x,y).
R(T(x,y) / x,z,u) = x \ T(x,y).
R(x \ T(x,y),z,u) = x \ T(x,y).
(x / y) \ T(x / y,z) = (T(x / y,z) * y) / x.
(T(x / y,z) * y) / x = (x / y) \ T(x / y,z).
(x \ T(x,y)) \ (z * u) = ((x \ T(x,y)) \ z) * u.
(x * (x \ T(x,y))) / R(T(x,y),z,u) = R(x,z,u) \ x.
L(x \ T(x,y),T(y,x),x) = R((y * x) \ (x * y),z,u).
R((x * y) \ (y * x),z,u) = L(y \ T(y,x),T(x,y),y).
(x * T(x \ y,z)) / y = (y / x) \ T(y / x,z).
((x \ T(x,y)) \ z) * u = x * (T(x,y) \ (z * u)).
(x * T(y,z)) / (x * y) = ((x * y) / x) \ T((x * y) / x,z).
((x * y) / x) \ T((x * y) / x,z) = (x * T(y,z)) / (x * y).
(x * (T(x,y) \ z)) * u = x * (T(x,y) \ (z * u)).
T(x * (T(x,y) \ z),x) = T(x,y) \ (z * x).
T(x,y) / R(T(x,y),z,u) = R(x,z,u) \ x.
R(x,y,z) \ x = R(T(x,u),y,z) \ T(x,u).
R(T(x,y),z,u) \ T(x,y) = R(x,z,u) \ x.
R(T(x,x \ y),z,u) \ ((x \ y) \ y) = R(x,z,u) \ x.
T(x,y) \ T(x,x * y) = R(x,y,x) \ x.
x * (R(y,z,u) \ y) = (R(y,z,u) \ y) * x.
(R(x,y,z) \ x) * u = u * (R(x,y,z) \ x).
R(x,y,z) \ x = T(R(x,y,z) \ x,u).
T(R(x,y,z) \ x,u) = R(x,y,z) \ x.
K(R(x,y,z) \ x,u) = 1.
T(x,R(y,z,u) \ y) = x.
R(x,y,z) \ x = ((R(x,y,z) \ x) \ u) \ u.
((R(x,y,z) \ x) \ u) \ u = R(x,y,z) \ x.
x / (R(y,z,u) \ y) = (R(y,z,u) \ y) \ x.
x * L(R(y,z,u) \ y,w,v5) = L(R(y,z,u) \ y,w,v5) * x.
L(R(x,y,z) \ x,u,w) * v5 = v5 * L(R(x,y,z) \ x,u,w).
x * R(R(y,z,u) \ y,w,v5) = R(R(y,z,u) \ y,w,v5) * x.
R(R(x,y,z) \ x,u,w) * v5 = v5 * R(R(x,y,z) \ x,u,w).
x / L(R(y,z,u) \ y,w,v5) = L(R(y,z,u) \ y,w,v5) \ x.
K(x \ R(x,y,z),u) = 1.
T(x,((y * z) \ y) * z) = x.
T(x,y * (z \ (z / y))) = x.
T(x,y * ((z * y) \ z)) = x.
T(x,(y \ z) * (z \ y)) = x.
T(x,(y / (z * y)) * z) = x.
T(x,y \ R(y,z,u)) = x.
T(x,(y / z) * (z / y)) = x.
T(x,y / R(y,z,u)) = x.
x / R(R(y,z,u) \ y,w,v5) = R(R(y,z,u) \ y,w,v5) \ x.
T(x \ R(x,y,z),u) = x \ R(x,y,z).
x * (y \ R(y,z,u)) = (y \ R(y,z,u)) * x.
(x \ R(x,y,z)) * u = u * (x \ R(x,y,z)).
((x \ R(x,y,z)) \ u) * (x \ R(x,y,z)) = u.
K(x,y \ R(y,z,u)) = 1.
x / (y \ R(y,z,u)) = (y \ R(y,z,u)) \ x.
T(x,(y / z) \ (y * (z \ 1))) = x.
T(x,y \ (z * ((y \ z) \ 1))) = x.
x / R(y \ R(y,z,u),w,v5) = R(y \ R(y,z,u),w,v5) \ x.
T(((x * y) \ x) * y,z) = ((x * y) \ x) * y.
x / (((y * z) \ y) * z) = (((y * z) \ y) * z) \ x.
((x * y) \ x) / (1 / y) = (1 / y) \ ((x * y) \ x).
x * (y * (z \ (z / y))) = (y * (z \ (z / y))) * x.
(x * (y \ (y / x))) * z = z * (x * (y \ (y / x))).
T(x * (y \ (y / x)),z) = x * (y \ (y / x)).
x / (y * (z \ (z / y))) = (y * (z \ (z / y))) \ x.
x * (y * ((z * y) \ z)) = (y * ((z * y) \ z)) * x.
(x * ((y * x) \ y)) * z = z * (x * ((y * x) \ y)).
((x * ((y * x) \ y)) \ z) * (x * ((y * x) \ y)) = z.
T(x * ((y * x) \ y),z) = x * ((y * x) \ y).
x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x.
R(x * ((y * x) \ y),z,u) * w = w * R(x * ((y * x) \ y),z,u).
T((x \ y) * (y \ x),z) = (x \ y) * (y \ x).
x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x.
T((x / (y * x)) * y,z) = (x / (y * x)) * y.
T((x / y) * (y / x),z) = (x / y) * (y / x).
T(x,y * (z / (y * z))) = x.
x / ((y / z) * (z / y)) = ((y / z) * (z / y)) \ x.
(x / y) / (1 / (y / x)) = (1 / (y / x)) \ (x / y).
x * (y * (z / (y * z))) = (y * (z / (y * z))) * x.
(x * (y / (x * y))) * z = z * (x * (y / (x * y))).
((x * (y / (x * y))) \ z) * (x * (y / (x * y))) = z.
T(x * (y / (x * y)),z) = x * (y / (x * y)).
x / (y * (z / (y * z))) = (y * (z / (y * z))) \ x.
(((x / y) \ (x * (y \ 1))) \ z) * ((x / y) \ (x * (y \ 1))) = z.
x / ((y / z) \ (y * (z \ 1))) = ((y / z) \ (y * (z \ 1))) \ x.
x \ R(x,y,z) = ((x \ R(x,y,z)) \ u) \ u.
((x \ R(x,y,z)) \ u) \ u = x \ R(x,y,z).
x / L(y \ R(y,z,u),w,v5) = L(y \ R(y,z,u),w,v5) \ x.
x * (R(y,z,u) \ y) != w | (R(y,z,u) \ y) \ w = x.
(R(x,y,z) \ x) * u = u * ((x \ 1) \ R(x \ 1,y,z)).
x * ((y \ 1) \ R(y \ 1,z,u)) = (R(y,z,u) \ y) * x.
(R(x,y,z) \ x) * u = u * T(R(x,y,z) \ x,w).
x * T(R(y,z,u) \ y,w) = (R(y,z,u) \ y) * x.
((R(x,x,y) \ x) \ z) \ z = (y / (x * y)) * x.
((R(x,x,x \ y) \ x) \ z) \ z = ((x \ y) / y) * x.
(x \ R(x,y,z)) \ 1 = R(x,y,z) \ x.
((x \ R(x,y,z)) \ 1) * u = (R(x,y,z) \ x) * u.
((x / y) * (y * (x \ 1))) \ 1 = R((x / y) \ 1,y,x \ 1) \ ((x / y) \ 1).
R((x / y) \ 1,y,x \ 1) \ ((x / y) \ 1) = ((x / y) * (y * (x \ 1))) \ 1.
x * (R(x,y,z) \ (R(x,y,z) \ x)) = (x / R(x,y,z)) * (x / R(x,y,z)).
(x / R(x,y,z)) * (x / R(x,y,z)) = x * (R(x,y,z) \ (R(x,y,z) \ x)).
((x \ R(x,y,z)) * (u * x)) / R(x,y,z) = R(u,x,x \ R(x,y,z)).
(R(x,y,z) / x) * u = u * (x \ R(x,y,z)).
(x \ R(x,y,z)) * (x \ 1) = x \ (x \ R(x,y,z)).
(x \ R(x,y,z)) * u = u * T(x \ R(x,y,z),w).
x * T(y \ R(y,z,u),w) = (y \ R(y,z,u)) * x.
(x * y) / R(y,z,u) = R((y \ R(y,z,u)) \ x,y \ R(y,z,u),y).
R((x \ R(x,y,z)) \ u,x \ R(x,y,z),x) = (u * x) / R(x,y,z).
x * (y \ (y / x)) = ((x * (y \ (y / x))) \ z) \ z.
((x * (y \ (y / x))) \ z) \ z = x * (y \ (y / x)).
R(1 / x,x,y \ (y / x)) = (y \ (y / x)) / T(x * (y \ (y / x)),z).
(x \ (x / y)) / T(y * (x \ (x / y)),z) = R(1 / y,y,x \ (x / y)).
x * ((y * x) \ y) = ((x * ((y * x) \ y)) \ z) \ z.
((x * ((y * x) \ y)) \ z) \ z = x * ((y * x) \ y).
T(R(x,y,z) * ((L(x,u,w) * R(x,y,z)) \ L(x,u,w)),v5) = R(x,y,z) * ((R(x,y,z) * L(x,u,w)) \ L(x,u,w)).
(((x \ y) \ 1) \ (y \ x)) * ((x \ y) \ 1) = y \ x.
T((x \ (x / y)) * y,z) = (x \ (x / y)) * ((x / y) \ x).
(x \ y) * (y \ x) = (((x \ y) * (y \ x)) \ z) \ z.
(((x \ y) * (y \ x)) \ z) \ z = (x \ y) * (y \ x).
T((x / (y * x)) * y,z) != u * y | x / (y * x) = u.
(x / (y * x)) * y = (((x / (y * x)) * y) \ z) \ z.
(((x / (y * x)) * y) \ z) \ z = (x / (y * x)) * y.
L((x / (y * x)) * y,z,u) = L((((x / (y * x)) * y) \ w) \ w,z,u).
L((((x / (y * x)) * y) \ z) \ z,u,w) = L((x / (y * x)) * y,u,w).
T((x / y) * (y / x),z) != u * (y / x) | x / y = u.
(x / y) / L((y / x) \ 1,y / x,x / y) = T((x / y) * (y / x),z).
T((x / y) * (y / x),z) = (x / y) / L((y / x) \ 1,y / x,x / y).
K(x * (y / (x * y)),z) = 1.
K(x * ((x \ y) / y),z) = 1.
T(x * ((x \ y) / y),z) = x * ((x \ y) / y).
(1 / x) \ (y / (x * y)) = (y / (x * y)) * x.
x \ (y / ((x \ 1) * y)) = (y / ((x \ 1) * y)) * (x \ 1).
(x / ((y \ 1) * x)) * (y \ 1) = y \ (x / ((y \ 1) * x)).
R(1 / (x \ y),x \ y,y \ x) = ((x \ y) * (y \ x)) \ (y \ x).
L(R(x,y,z) \ x,u,R(x,y,z) \ x) = R(x,y,z) \ x.
L(x \ R(x,y,z),u,x \ R(x,y,z)) = x \ R(x,y,z).
((((x \ y) / y) * x) \ z) \ z = ((x \ y) / y) * x.
(x \ (((x \ y) / y) \ 1)) \ 1 = ((x \ y) / y) * x.
K(x,y) = R((y * x) \ (x * y),z,u).
R((x * y) \ (y * x),z,u) = K(y,x).
R(K(x,y),z,u) = K(x,y).
R(T(K(x,y),z),u,w) = T(K(x,y),z).
K(x,y) * R(z,u,w) = R(K(x,y) * z,u,w).
R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w).
R(x,y,z) * K(u,w) = R(x * K(u,w),y,z).
R(x * K(y,z),u,w) = R(x,u,w) * K(y,z).
R(K(x * x,x),y,z) = a(x,x,x).
K(x,y) * (z * u) = (K(x,y) * z) * u.
(K(x,y) * z) * u = K(x,y) * (z * u).
K(x,y) / (z \ 1) = K(x,y) * z.
(K(x,y) * z) \ K(x,y) = z \ 1.
K(x,y) / z = K(x,y) * (1 / z).
K(x,y) * (1 / z) = K(x,y) / z.
K(x,y) \ (z * u) = (K(x,y) \ z) * u.
K(x,y) / R(z,u,w) = R(K(x,y) / z,u,w).
R(K(x,y) / z,u,w) = K(x,y) / R(z,u,w).
1 / K(x,y) = z / (K(x,y) * z).
x / (K(y,z) * x) = 1 / K(y,z).
R(x,y,z) \ K(u,w) = R(x \ K(u,w),y,z).
R(x \ K(y,z),u,w) = R(x,u,w) \ K(y,z).
L(R(x,y,z),u,w) \ K(v5,v6) = R(L(x,u,w) \ K(v5,v6),y,z).
R(L(x,y,z) \ K(u,w),v5,v6) = L(R(x,v5,v6),y,z) \ K(u,w).
x * K(y,z) = T(K(y,z) * x,K(y,z)).
T(K(x,y) * z,K(x,y)) = z * K(x,y).
K(R(x,y,z),R(u,y,z)) = K(x,u).
K(L(x,y,x),z) = K(x,R(z,y,x)).
K((x / y) / z,u) = K(x / (z * y),R(u,z,y)).
K(x / (y * z),R(u,y,z)) = K((x / z) / y,u).
K((x \ 1) \ 1,R(y,x,x \ 1)) = K(x,y).
K(x * (y \ 1),R(z,y,y \ 1)) = K(x / y,z).
K(T(x / (y * x),z),R(u,y,x)) = K(T(1 / y,z),u).
K((x / y) \ 1,R(z,y / x,x)) = K(y / x,z).
K(T(x,x * y),z) = K(T(x,y),R(z,y,T(x,y))).
K(T(x,y),R(z,y,T(x,y))) = K(T(x,x * y),z).
K(x / (1 / y),z) = K(x * y,R(z,y,y \ 1)).
K(x * y,R(z,y,y \ 1)) = K(x / (1 / y),z).
K(x / (y / z),u) = K((x * z) / y,R(u,y / z,z)).
K((x * y) / z,R(u,z / y,y)) = K(x / (z / y),u).
R(a(x,x,x),y,z) = a(x,x,x).
a(x,x,x) * R(y,z,u) = R(a(x,x,x) * y,z,u).
R(a(x,x,x) * y,z,u) = a(x,x,x) * R(y,z,u).
a(x,x,x) / (y \ 1) = a(x,x,x) * y.
(K(x,y) * z) * T(z \ 1,K(x,y)) = ((z \ 1) * K(x,y)) / (z \ 1).
x \ K(y,z) = (K(y,z) \ x) \ 1.
(K(x,y) \ z) \ 1 = z \ K(x,y).
K(x,y) \ (K(x,y) / z) = 1 / z.
K(x,y) * (z \ K(z,z \ 1)) = K(x,y) / z.
K(x,R(x * y,y,x)) = K(x,L(x,y,x) * y).
1 / (x \ K(y,z)) = K(y,z) \ x.
1 / ((T(K(x,y),z) \ K(x,y)) \ K(x,y)) = T(K(x,y),z) \ 1.
T(K(x,y),z) = T(K(x,y),K(x,y) \ z).
T(K(x,y),K(x,y) \ z) = T(K(x,y),z).
L(x,y,K(z,u)) = x.
(K(x,y) * (z * u)) / u = K(x,y) * z.
x * y = K(z,u) * ((K(z,u) \ x) * y).
K(x,y) * ((K(x,y) \ z) * u) = z * u.
a(x,K(y,z) * u,w) = (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w).
(x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x,K(y,z) * u,w).
a(K(x,y) * z,u,w) = (K(x,y) * (z * (u * w))) \ (((K(x,y) * z) * u) * w).
(K(x,y) * (z * (u * w))) \ (((K(x,y) * z) * u) * w) = a(K(x,y) * z,u,w).
L(x,y,K(z,u) * w) = (K(z,u) * (w * y)) \ ((K(z,u) * w) * (y * x)).
(K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z).
R(x,K(y,z) * u,w) = ((x * (K(y,z) * u)) * w) / (K(y,z) * (u * w)).
((x * (K(y,z) * u)) * w) / (K(y,z) * (u * w)) = R(x,K(y,z) * u,w).
T(K(x,y) * z,u) = u \ (K(x,y) * (z * u)).
x \ (K(y,z) * (u * x)) = T(K(y,z) * u,x).
(x * K(y,z)) * u = K(y,z) * (T(x,K(y,z)) * u).
K(x,y) * (T(z,K(x,y)) * u) = (z * K(x,y)) * u.
(K(x,y) / z) * u = K(x,y) * ((1 / z) * u).
K(x,y) * ((1 / z) * u) = (K(x,y) / z) * u.
L(x,y,1) = x.
L(x,y,a(z,z,z)) = x.
x \ (K(y,z) \ u) = (K(y,z) * x) \ u.
(K(x,y) * z) \ u = z \ (K(x,y) \ u).
(K(x,y) * z) / (u \ z) = K(x,y) * u.
(K(x,y) \ z) \ u = z \ (K(x,y) * u).
(K(x,y) * z) / u = K(x,y) * (z / u).
L(x,y,z \ T(z,u)) = x.
T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u).
K(x,K(y,z)) = T(K(y,z),x) \ K(y,z).
T(K(x,y),z) \ K(x,y) = K(z,K(x,y)).
x \ ((y \ T(y,z)) \ u) = ((y \ T(y,z)) * x) \ u.
((x \ T(x,y)) * z) \ u = z \ ((x \ T(x,y)) \ u).
((x \ T(x,y)) \ z) \ u = z \ ((x \ T(x,y)) * u).
((x \ T(x,y)) * z) / u = (x \ T(x,y)) * (z / u).
T(x,y) / (z \ x) = T(x,y) * (x \ z).
T(x,K(y,z)) = (K(y,z) \ x) * K(y,z).
(K(x,y) \ z) * K(x,y) = T(z,K(x,y)).
(K(x,y) \ x) * y = T(y * x,K(x,y)).
T(x * y,K(y,x)) = (K(y,x) \ y) * x.
x * K(y,z) = (K(y,z) / (K(y,z) * x)) \ (((K(y,z) * x) * K(y,z)) / (K(y,z) * x)).
(K(x,y) / (K(x,y) * z)) \ (((K(x,y) * z) * K(x,y)) / (K(x,y) * z)) = z * K(x,y).
x / T(K(y,z),x) = K(y,z) \ x.
(K(x,y) / (K(x,y) \ z)) \ T(K(x,y),z) = (K(x,y) * (K(x,y) \ z)) / K(x,y).
K(x,y) \ (K(z,u) \ K(x,y)) = 1 / T(K(z,u),K(x,y)).
(1 / x) \ y = (K(z,u) / x) \ (K(z,u) * y).
(K(x,y) / z) \ (K(x,y) * u) = (1 / z) \ u.
T(K(x,y) * (z / u),u) = u \ (K(x,y) * z).
R(K(x,y) / z,z,u) = K(x,y) * (u / (z * u)).
K(x,K(y,z)) = x \ T(x,K(y,z)).
x \ T(x,K(y,z)) = K(x,K(y,z)).
(x \ 1) * T((x \ 1) \ 1,K(y,z)) = K(x,K(y,z)).
T(x,K(y,z)) / (K(y,z) \ x) = x / (x / K(y,z)).
T(K(x,y) \ x,z) \ T(y * x,K(x,y)) = (K(x,y) \ x) * (T(K(x,y) \ x,z) \ y).
x * R(K(x,y) * (K(x,y) \ y),z,u) = (R(y,z,u) * x) * K(x,y).
R(K(x,y) * z,u,w) * v5 = K(x,y) * (R(z,u,w) * v5).
R(x * K(y \ R(x,z,u),y),z,u) = (y \ R(x,z,u)) * y.
K(x,R(x * y,y,x)) = K(x,(x * (y * x)) / x).
(K(x,y) / z) * u != K(x,y) * w | (1 / z) * u = w.
K(x,y) * z != (K(x,y) / u) * w | (1 / u) * w = z.
(K(x,y) / z) \ (K(x,y) * L(1 / z,u,w)) = z * L(z \ 1,u,w).
((x \ T(x,y)) * z) \ u = z \ (x * (T(x,y) \ u)).
(x * (T(x,y) \ z)) \ u = z \ ((x \ T(x,y)) * u).
(T(x,y) * (x \ z)) / u = (x \ T(x,y)) * (z / u).
x / (x / K(y,z)) = (x * K(y,z)) / x.
(x * K(y,z)) / x = x / (x / K(y,z)).
(T(x,y) * (x \ z)) \ u = z \ (x * (T(x,y) \ u)).
(x * (T(x,y) \ z)) \ u = z \ (T(x,y) * (x \ u)).
(T(x,y) * (x \ z)) / u = T(x,y) * (x \ (z / u)).
x \ (y * (T(y,z) \ (T(y,z) * x))) = T(y,T(y,z) * (y \ x)).
(L(x,y,x) * y) \ z = (y * x) \ (x * (T(x,x * y) \ z)).
(x * y) \ (y * (T(y,y * x) \ z)) = (L(y,x,y) * x) \ z.
R((x \ y) \ y,z,u) \ ((x \ y) \ y) = R(x,z,u) \ x.
T((x \ (x / y)) * y,z) = (x \ (x / y)) * y.
T((x \ (x / y)) * y,z) != u * y | x \ (x / y) = u.
L(x \ 1,x,y \ (y / x)) = T((y \ (y / x)) * x,z) \ (y \ (y / x)).
T((x \ (x / y)) * y,z) \ (x \ (x / y)) = L(y \ 1,y,x \ (x / y)).
a(x \ R(x,y,z),u,x \ R(x,y,z)) = 1.
R(x \ R(x,y,z),u,x \ R(x,y,z)) = x \ R(x,y,z).
R((x \ R(x,y,z)) \ 1,u,x \ R(x,y,z)) = (x \ R(x,y,z)) \ 1.
(x \ y) * (R(x,z,u) \ x) = y * R(y \ (x \ y),z,u).
R(x,y,z) \ x = (x \ u) \ (u * R(u \ (x \ u),y,z)).
(x \ y) \ (y * R(y \ (x \ y),z,u)) = R(x,z,u) \ x.
x \ ((y \ x) * (R(y,z,u) \ y)) = R(x \ (y \ x),z,u).
(x * y) \ (y * (T(y,x * y) \ z)) = (L(y,x,y) * x) \ z.
T(x,y / (y / z)) \ x = (y * T(z,x)) / (y * z).
(L(x \ R(x,y,z),u,w) \ v5) \ v5 = L(x \ R(x,y,z),u,w).
1 / T(K(x,y),z) = T(K(x,y),z) \ 1.
K(x,y) \ (K(z,u) \ K(x,y)) = T(K(z,u),K(x,y)) \ 1.
x \ (y * x) = T(y,T(y,z) * (y \ x)).
T(x,T(x,y) * (x \ z)) = z \ (x * z).
T(x,y) = T(x,T(x,z) * (x \ y)).
T(x,T(x,y) * (x \ z)) = T(x,z).
T(x,T(x,y) * z) = T(x,x * z).
T(x,x \ y) = T(x,T(x,z) \ y).
T(x,T(x,y) \ z) = T(x,x \ z).
((T(x,y) * (x \ z)) / T(x,z)) * x = T(T(x,y) * (x \ z),x).
T(x,y * z) = T(x,T(y,x) * z).
T(x,T(y,x) * z) = T(x,y * z).
T(x,y * (T(y,x) \ z)) = T(x,z).
T(x,y) = T(x,x * (T(x,z) \ y)).
T(x,x * (T(x,y) \ z)) = T(x,z).
T(T(x,x \ y),z) = T(T(x,z),T(x,u) \ y).
T(T(x,y),T(x,z) \ u) = T(T(x,x \ u),y).
T(x / y,(y \ x) \ z) = T(x / y,(x / y) \ z).
T(x / y,(x / y) \ z) = T(x / y,(y \ x) \ z).
T(x,(x \ y) * z) = T(x,(y / x) * z).
T(x,(y / x) * z) = T(x,(x \ y) * z).
T(x,T(y,x) \ z) = T(x,y \ z).
T(x * (y * (T(y,x) \ z)),T(x,z)) = T(x * (y * (T(y,x) \ z)),x).
x / T(T(y,y \ x),z) = T(y,z) \ x.
x / T(T(y,z),y \ x) = T(y,z) \ x.
x / T((y \ x) \ x,z) = T(y,z) \ x.
1 / T(T(x \ 1,x),y) = T(x \ 1,y) \ 1.
R(x,y,z) / T(x,u) = T(x,u) \ R(x,y,z).
(T(x,y) \ z) \ z = T((x \ z) \ z,y).
x / T(y \ x,z) = T(x / y,z) \ x.
x / T(T(x,y),z) = T(T(x,y),z) \ x.
((x \ y) \ z) \ z = T(((y / x) \ z) \ z,x).
T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z.
T(x,T((y \ z) \ z,u)) = T(x,T(T(y,u),z)).
x / T(y,z) = T(x / (x / y),z) \ x.
T(x / (x / y),z) \ x = x / T(y,z).
x / (x / T(y,z)) = T(x / (x / y),z).
L(x,x \ y,x) \ y = y / T(x,y).
T(x / (T(y,z) \ x),u) \ x = x / T(T(T(y,z),y \ x),u).
(L(x,x \ 1,x) \ L(L(x,x \ 1,x),y,z)) / (1 / T(x,1)) = L(L(x,x \ 1,x),y,z).
x / (T(x,y) / y) = T(x / (x / y),x).
T(x / (x / y),x) = x / (T(x,y) / y).
x / (T(x,y) / y) = L(y,y \ x,y).
L(x,x \ y,x) = y / (T(y,x) / x).
T(T(x / (x / y),z),x) = x / (T(x,T(y,z)) / T(y,z)).
x / T(y / z,(z \ y) \ x) = (y / z) \ x.
x / T(y / (y / z),z \ x) = (y / (y / z)) \ x.
T(T(x / (x / y),y \ 1),x) = x / (T(x,y) / T(y,y \ 1)).
(T(x,y) * (x \ (z / T(x,z)))) * x = T(T(x,y) * (x \ z),x).
T(T(x,y),z) \ u = u / T(T(T(x,y),x \ u),z).
x / T(T(T(y,z),y \ x),u) = T(T(y,z),u) \ x.
x / T(T(y * z,(L(z,y,z) * y) \ x),u) = T(T(L(z,y,z) * y,z),u) \ x.
T(T(x \ y,y),x) \ T(x \ y,y) = (y / (y / x)) \ x.
(x / (x / y)) \ y = y \ T(y,T(y \ x,x)).
x \ T(x,T(x \ y,y)) = (y / (y / x)) \ x.
x \ ((x \ y) \ y) = (y / (y / x)) \ x.
(x / (x / y)) \ y = y \ ((y \ x) \ x).
(x * (T(x,y) \ (z * y))) \ (T(y,x) * z) = K(y,x * (T(x,y) \ z)).
L(R(x,x,y) \ x,z,u) = L((y / (x * y)) * x,z,u).
((x \ 1) * K(y,z)) / (x \ 1) = ((1 / x) * K(y,z)) * x.
((1 / x) * K(y,z)) * x = (x \ 1) / ((x \ 1) / K(y,z)).
(x \ 1) / ((x \ 1) / K(y,z)) = ((1 / x) * K(y,z)) * x.
x * R(y,z,u) = (R(y,z,u) * x) * K(x,y).
(R(x,y,z) * u) * K(u,x) = u * R(x,y,z).
K(x,R(y,z,u)) = K(x,y).
K(x,y / (z * y)) = K(x,1 / z).
K(x,y / (z * u)) = K(x,(y / u) / z).
K(x,(y / z) / u) = K(x,y / (u * z)).
K(x,y \ 1) = K(x,1 / y).
K(x,1 / y) = K(x,y \ 1).
K(x,y * (z \ 1)) = K(x,y / z).
K(x,(y * z) / u) = K(x,y / (u / z)).
K(x,(y \ 1) \ 1) = K(x,y).
K(x,(y / z) \ 1) = K(x,z / y).
K(x,T(y \ 1,y)) = K(x,y \ 1).
K(x,T(y,z)) = K(x,T(y,y * z)).
K(x,T(y,y * z)) = K(x,T(y,z)).
K(x,T((y * z) / (u * z),w)) = K(x,T(y / u,w)).
K(x,T(y / (z * u),w)) = K(x,T((y / u) / z,w)).
K(x,T((y / z) / u,w)) = K(x,T(y / (u * z),w)).
K(x,T(y * (z \ 1),u)) = K(x,T(y / z,u)).
K(x,y \ z) = K(x,T(z / y,z)).
K(x,T(y / z,y)) = K(x,z \ y).
K(x,T(y,z / y)) = K(x,T(y,z)).
K(x,y * z) = K(x,y / (1 / z)).
K(x,y / (1 / z)) = K(x,y * z).
K(x,((y * z) * u) / (w * (z * u))) = K(x,R(y,z,u) / w).
K(x,T(y,y \ z)) = K(x,T(y,z)).
K(x,(y \ z) \ z) = K(x,T(y,z)).
K(x,(y * z) * (1 / z)) = K(x,y * K(z,z \ 1)).
K(R(x,y,z) \ u,x) = K(x \ u,x).
K(R(x,y,z),u) = K(x,u).
K(L(x,y,x),z) = K(x,z).
K((x \ 1) \ 1,y) = K(x,y).
K(x / (y * z),u) = K((x / z) / y,u).
K((x / y) / z,u) = K(x / (z * y),u).
K(x * (y \ 1),z) = K(x / y,z).
K((x / y) \ 1,z) = K(y / x,z).
K(T(x,y),z) = K(T(x,x * y),z).
K(T(x,x * y),z) = K(T(x,y),z).
K(x * y,z) = K(x / (1 / y),z).
K(x / (1 / y),z) = K(x * y,z).
K(T(x / (y * x),z),u) = K(T(1 / y,z),u).
K((x * y) / z,u) = K(x / (z / y),u).
K(x \ 1,y) = K(1 / x,y).
K(1 / x,y) = K(x \ 1,y).
K(R(x,y,z) \ 1,u) = K(x \ 1,u).
K(T(x / (y * z),u),w) = K(T((x / z) / y,u),w).
K(T((x / y) / z,u),w) = K(T(x / (z * y),u),w).
K(T(x * (y \ 1),z),u) = K(T(x / y,z),u).
K(x \ y,z) = K(T(y / x,y),z).
K(T(x / y,x),z) = K(y \ x,z).
K(T(x,y),z) = K(T(x,y * x),z).
K(T(x,y * x),z) = K(T(x,y),z).
K(T(x,y / x),z) = K(T(x,y),z).
K(T(x * y,z),u) = K(T(x / (1 / y),z),u).
K(T(x / (1 / y),z),u) = K(T(x * y,z),u).
K(((x * y) * z) / (u * (y * z)),w) = K(R(x,y,z) / u,w).
K(x / R(y,z,x),u) = K(L(x,z,x) / y,u).
K(L(x,y,x) / z,u) = K(x / R(z,y,x),u).
K((x \ y) \ y,z) = K(T(x,y),z).
K(1 / (1 / x),y) = K(x,y).
K(x / (T(x,y) / y),z) = K(y,z).
K(x,y / (z * y)) = K(x,z \ 1).
K((x * (y \ 1)) \ x,x / y) = y \ T(y,y \ x).
K(x,y \ 1) = K(x,(y \ z) / z).
K(x,(y \ z) / z) = K(x,y \ 1).
K(x,T(R(y,z,u) / w,y)) = K(x,w \ R(y,z,u)).
K(x,T(y \ z,y)) = K(x,T(y \ z,z)).
K(x,T(y \ z,z)) = K(x,T(y \ z,y)).
K(x / (y \ 1),y \ 1) = K(x * y,1 / y).
K(x \ 1,y) = K(z / (x * z),y).
K(x / (y * x),z) = K(y \ 1,z).
K(x \ 1,y) = K((x \ z) / z,y).
K((x \ y) / y,z) = K(x \ 1,z).
K((T(x,y \ 1) / (y \ x)) \ 1,z) = K(x \ (y \ x),z).
K(T((x / y) / (1 / y),x / (y \ 1)),z) = K(T((x / y) / (1 / y),y),z).
K(T(R(x / y,y,x \ z),z),u) = K((y * (x \ z)) \ z,u).
K(T(x,y \ 1),z) = K(T(x,y \ x),z).
K(x,(x \ y) / y) * z = z * K(x,x \ 1).
K((x * (y \ 1)) \ z,x / y) = K((x / y) \ z,x / y).
K((x \ (y * (z \ x))) \ 1,u) = K(T(y / z,x) \ 1,u).
K(x,y / ((1 / z) * u)) = K(x,(y / u) * z).
K(R(1 / x,x,y) / z,u) = K(y / (z * (x * y)),u).
K(T(x,y),z) = K(T(x,(y \ 1) \ x),z).
K(T(x,(y \ 1) \ x),z) = K(T(x,y),z).
K(x,T(y \ 1,z)) = K(x,T(1 / y,z)).
K(x,T(1 / y,z)) = K(x,T(y \ 1,z)).
K(T(x \ 1,y),z) = K(T(1 / x,y),z).
K(T(1 / x,y),z) = K(T(x \ 1,y),z).
K(T(x / (y * x),z),u) = K(T(y \ 1,z),u).
K(x,(x \ y) / y) * z != z * u | K(x,x \ 1) = u.
K(T(x / y,z),u) = K(T((y / x) \ 1,z),u).
K(T((x / y) \ 1,z),u) = K(T(y / x,z),u).
K(x,T(y / z,y * u)) = K(x,(z * u) \ (y * u)).
K(x,T(y * (1 / z),y)) = K(x,z \ R(y,z,z \ 1)).
K(x,T(y / (z / u),y * u)) = K(x,z \ (y * u)).
K(x,T((R(y,z,u) * z) / (y * z),(R(y,z,u) * z) * u)) = K(x,a(R(y,z,u),z,u)).
K(x,T(y * (1 / z),y)) = K(x,T(y * (1 / z),z)).
K(x,T(y * (1 / z),z)) = K(x,T(y * (1 / z),y)).
K(x,(y * z) * (1 / z)) = K(x,T((z * y) * (1 / z),z * y)).
K(x,T((y * z) * (1 / y),y * z)) = K(x,(z * y) * (1 / y)).
K((T(x,y \ 1) * (x \ y)) \ 1,z) = K(x \ (y \ x),z).
K((x / y) \ x,x / y) = y \ T(y,y \ x).
K(x,y / x) = x \ T(x,x \ y).
x \ T(x,x \ y) = K(x,y / x).
K(x \ (y * (T(y,x \ 1) \ 1)),z) = K(y \ (x \ y),z).
K(x \ (T(y,x \ 1) \ y),z) = K(y \ (x \ y),z).
K(T(x \ 1,y),z) = K(y \ (x \ y),z).
K(T((x / (y * z)) \ 1,R(u,y,z)),w) = K(R(u,y,z) \ R(((x / z) / y) \ u,y,z),w).
K(R(x,y,z) \ R(((u / z) / y) \ x,y,z),w) = K(T((u / (y * z)) \ 1,R(x,y,z)),w).
K(x \ ((y / z) \ x),u) = K(T(z / y,x),u).
K(x,R(y,z,u) / w) = K(x,(y * z) / ((w * (z * u)) / u)).
K(x,(y * z) / ((u * (z * w)) / w)) = K(x,R(y,z,w) / u).
K(R(x,y,z) / u,w) = K((x * y) / ((u * (y * z)) / z),w).
K((x * y) / ((z * (y * u)) / u),w) = K(R(x,y,u) / z,w).
K(R(T(x / y,z),y,x \ z),u) = K((y * (x \ z)) \ z,u).
K(x,R(y,z,u) / w) = K(x,y / (((w * (z * u)) / u) / z)).
K(x,y / (((z * (u * w)) / w) / u)) = K(x,R(y,u,w) / z).
K(R(x,y,z) / u,w) = K(x / (((u * (y * z)) / z) / y),w).
K(x / (((y * (z * u)) / u) / z),w) = K(R(x,z,u) / y,w).
K((x * (y \ z)) \ z,u) = K(T(y / x,z),u).
K(x,T((y * z) * (1 / y),y * z)) = K(x,z * K(y,y \ 1)).
R(R(x,y,z) \ x,u,x \ R(x,y,z)) = (x \ R(x,y,z)) \ 1.
R(R(x,y,z) \ x,u,x \ R(x,y,z)) = R(x,y,z) \ x.
T(T(x,y) * z,T(x,z)) = T(x * (y * (T(y,x) \ z)),x).
T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x).
T(T(x,y) * y,x) = R(x,y,T(x,y)) * y.
R(x,y,T(x,y)) * y = T(T(x,y) * y,x).
R(x,y,x) * y = T(T(x,y) * y,x).
T(T(x,y) * y,x) = R(x,y,x) * y.
K(x,y * (T(y,x) \ z)) = (z * x) \ (T(y,x) * (y \ (T(x,y) * z))).
(x * y) \ (T(z,y) * (z \ (T(y,z) * x))) = K(y,z * (T(z,y) \ x)).
(x * y) \ (y * x) = K(y,z * (T(z,y) \ x)).
K(x,y * (T(y,x) \ z)) = (z * x) \ (x * z).
K(x,y) = K(x,z * (T(z,x) \ y)).
K(x,y * (T(y,x) \ z)) = K(x,z).
K(x,(x * y) / x) = K(x,y).
K(x,x \ y) = K(x,T(x,z) \ y).
K(x,T(x,y) \ z) = K(x,x \ z).
K(x,y / x) = K(x,x \ y).
K(T(x,y),y) = K(x,y).
K(x,R(x * y,y,x)) = K(x,y * x).
K(x \ y,x) = K(y / x,x).
K(x / y,y) = K(y \ x,y).
K(x,T(y,x)) = K(x,y).
K(x * y,R(y,x,y)) = K(y * x,y).
K(x / y,x) = K(y \ x,x).
K(x \ 1,y) = K(y \ (x \ y),y).
K(x \ (y \ x),x) = K(y \ 1,x).
K(x,T(y,y * x)) = K(x,y).
K(x \ y,x) = K(x \ y,T(x,y)).
K(x \ y,T(x,y)) = K(x \ y,x).
x * K(y,y \ x) = y * (x / y).
K(1 / x,(1 / x) \ y) = K(1 / x,y * x).
K(x,x \ (y \ x)) = K(x,y \ 1).
x \ T(x,x \ y) = K(x,x \ y).
K((1 / x) \ y,1 / x) = K(y * x,1 / x).
K((x \ 1) \ y,x \ 1) = K(y * x,1 / x).
(x \ y) * K(x \ 1,y) = (y \ (x \ y)) * y.
(x \ (y \ x)) * x = (y \ x) * K(y \ 1,x).
R(x * K(y,y \ R(x,z,u)),z,u) = y * (R(x,z,u) / y).
x * K(y,R(y,z,u) \ x) = R(y,z,u) * (x / R(y,z,u)).
R(x,y,z) * (u / R(x,y,z)) = u * K(x,R(x,y,z) \ u).
x \ ((x \ y) \ y) = K(x,x \ y).
x * K(x \ y,(x \ y) \ y) = y / (y / x).
(x / (x / y)) \ y = K(y,y \ x).
(x / (x / y)) * K(y,y \ x) = y.
K(x,y * x) = K(x,x * y).
K(1 / x,(1 / x) * y) = K(x \ 1,y * (1 / x)).
K(x * y,x) = K(y * x,x).
K(x * y,y) = K(y * x,y).
K(1 / x,(1 / x) \ y) = K(x \ 1,y * x).
K((1 / x) \ y,1 / x) = K(y * x,x \ 1).
K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1).
x * K(x \ y,T(x,y)) = y / (y / x).
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 / (y / (x \ 1))) = L(K((x \ 1) \ y,x \ 1),x \ 1,x).
L(K((x \ 1) \ y,x \ 1),x \ 1,x) = x * (y / (y / (x \ 1))).
T(x,(x / y) \ x) / (x / y) = (x * (y * K(y \ x,y))) / x.
T(x * K(x \ y,x),y) = L(x,x \ y,x).
(x \ y) / ((x \ y) / y) = y * K(x \ 1,y).
T(x,x \ y) \ x = K(x \ y,x).
T(x,y) \ x = K(x \ (x * y),x).
K(x \ (x * y),x) = T(x,y) \ x.
K(x,y) = T(y,x) \ y.
T(x,y) * K(y,x) = x.
K(x,T(y,z)) = T(T(y,x),z) \ T(y,z).
T(T(x,y),z) \ T(x,z) = K(y,T(x,z)).
K(x,L(y,z,u)) = L(T(y,x),z,u) \ L(y,z,u).
L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)).
x \ K(y,x) = T(x,y) \ 1.
T(x,y) \ 1 = x \ K(y,x).
K(T(x,y),T(y,z)) = T(T(y,x),z) \ T(y,z).
T(T(x,y),z) \ T(x,z) = K(T(y,x),T(x,z)).
K(x,y) * x = T(x,y).
T(x,y) = K(x,y) * x.
K(x,y) = T(x,y) / x.
T(K(x,y),x) = x \ T(x,y).
x \ T(x,y) = T(K(x,y),x).
K(x \ 1,y) = x * T(x \ 1,y).
x * T(x \ 1,y) = K(x \ 1,y).
x \ K(x \ 1,y) = T(x \ 1,y).
K(x,y) * (x * z) = T(x,y) * z.
K(x,y) \ z = x * (T(x,y) \ z).
x * (T(x,y) \ z) = K(x,y) \ z.
K(x,y) \ y = T(y,x).
T(x,y) = K(y,x) \ x.
K(x,y) * T(y,x) = y.
(x * y) / (y * x) = K(x,y).
K(x,y) = (x * y) / (y * x).
K(x,y) * (y \ T(y,x)) = 1.
K(x,y) * (T(y,x) * z) = y * z.
K(x,y) * z = y * (T(y,x) \ z).
x * (T(x,y) \ z) = K(y,x) * z.
T(x,K(y,x)) = x.
T(x * K(y,x),y) = x.
(x * y) / x = y * K(x,y).
K(x,y) = x \ T(x,y).
x * K(x,y) = T(x,y).
T(x,y) = x * K(x,y).
x * (y * K(x,y)) = T(x,y) * y.
x * (K(x,y) * z) = T(x,y) * z.
K(x,y) * (T(x,y) \ z) = x \ z.
T(x * K(y,x),x * y) = L(x,y,x).
T(x * K(y,x),z) * y = y * T(x,z).
T(x * K(y,x),y * x) = L(x,y,x).
K(T(x,y),z) = T(x,y) \ T(T(x,z),y).
T(x,y) \ T(T(x,z),y) = K(T(x,y),z).
((x * y) / x) * K(y,x) = y.
T(K(x,y),x * z) = (x * z) \ (T(x,y) * z).
(x * y) \ (T(x,z) * y) = T(K(x,z),x * y).
T(x,y) * K(z,x) = x * (T(x,z) \ T(x,y)).
x * (T(x,y) \ T(x,z)) = T(x,z) * K(y,x).
R(x,K(x,y),z) = x.
(x * y) \ (y * K(x * y,y)) = (L(y,x,y) * x) \ y.
K(x / (x / y),z) = (x * T(y,z)) / (x * y).
(x * T(y,z)) / (x * y) = K(x / (x / y),z).
K(x,y * K(x,y)) = K(x,y).
x * y != T(z * y,K(u,z * y)) | x = z.
T(x * y,K(z,x * y)) != u * y | u = x.
K(x,y) * y = y * K(x,y).
K(x,y) * T(y,z) = T(y,z) * K(x,y).
T(x,y) * K(z,x) = K(z,x) * T(x,y).
K(x,y) * (y * z) = (y * K(x,y)) * z.
(x * K(y,x)) * z = K(y,x) * (x * z).
K(x,y) \ T(x,y) = x.
R(x,K(y,z),y) = ((x * K(y,z)) * y) / T(y,z).
((x * K(y,z)) * y) / T(y,z) = R(x,K(y,z),y).
K(x,x \ y) * x = (x \ y) \ y.
(x \ y) \ y = K(x,x \ y) * x.
R(K(x,y) / z,z,x) = T(x,y) / (z * x).
T(x,y) \ ((z * K(x,y)) * x) = R(T(z,K(x,y) * x),K(x,y),x).
R(T(x,K(y,z) * y),K(y,z),y) = T(y,z) \ ((x * K(y,z)) * y).
T(x,y) \ K(x,y) = x \ 1.
T(x * y,z) / y = K(x * y,z) * x.
T(x,y) \ z = x \ (K(x,y) \ z).
x \ (K(x,y) \ z) = T(x,y) \ z.
T(x,y) / (z \ x) = K(x,y) * z.
T(x,y) / z = K(x,y) * (x / z).
K(x,y) * (x / z) = T(x,y) / z.
R(T(x,y),z,u) * w = K(x,y) * (R(x,z,u) * w).
K(x,y) * (R(x,z,u) * w) = R(T(x,y),z,u) * w.
T((x \ y) / y,z) = K(x \ 1,z) * ((x \ y) / y).
K(x \ 1,y) * ((x \ z) / z) = T((x \ z) / z,y).
(1 / x) * T(x,y) = K(x,y).
K(x,y) = (1 / x) * T(x,y).
K(x,y) \ (y * z) = T(y,x) * z.
T(x,y) \ z = x \ (K(y,x) * z).
x \ (K(y,x) * z) = T(x,y) \ z.
x / (y \ T(x,z)) = K(z,x) * y.
x / y = K(z,x) * (T(x,z) / y).
K(x,y) * (T(y,x) / z) = y / z.
T(x,y) = T(T(x * K(z,x),y),z).
T(T(x * K(y,x),z),y) = T(x,z).
K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z).
L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u).
L(K(x,y),x,z) = (z * x) \ (z * T(x,y)).
(x * y) \ (x * T(y,z)) = L(K(y,z),y,x).
L(x \ K(y,z),x,y) = (y * x) \ T(y,z).
(x * T(y,z)) / L(K(y,z),y,x) = x * y.
L(R(x \ K(y,z),u,w),x,y) = R((y * x) \ T(y,z),u,w).
L(L(K(x,y),x,z),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))).
T(K(x,y) * y,x) = y.
((x * y) / x) / y = K(x,y).
K(x,y) = ((x * y) / x) / y.
K(x,y) * z = T(x,y) * (x \ z).
T(x,y) * (x \ z) = K(x,y) * z.
T(x,y) != x * z | K(x,y) = z.
(K(x,y) / z) \ T(K(x,y),u) = (1 / z) \ K(K(x,y),u).
T(x * (y \ 1),z) = (x * (y \ 1)) * K(x / y,z).
(x * (y \ 1)) * K(x / y,z) = T(x * (y \ 1),z).
x * K(x,y) = K(x,y) * x.
K(x,y) * x = x * K(x,y).
x \ y = T(x,z) \ (K(x,z) * y).
T(x,y) \ (K(x,y) * z) = x \ z.
x * (T(y,z) \ 1) = x * (y \ K(z,y)).
T(T(1 / T(x,y),z),T(x,y)) = T(x \ K(y,x),z).
L(T(x,y) \ 1,x,z) = (z * x) \ (z * K(y,x)).
(x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x).
T(x,y * (z \ K(u,z))) = T(x,y / T(z,u)).
K(x,y) = T(K(x,y),x).
T(K(x,y),x) = K(x,y).
T(x,K(x,y)) = x.
K(x,y) * (y * x) = x * y.
K(x,y) * K(y,x) = 1.
1 / K(x,y) = K(y,x).
K(x,y) \ 1 = K(y,x).
1 != K(x,y) * z | K(y,x) = z.
K(x,y) * z != 1 | K(y,x) = z.
R(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)).
1 / (x \ K(y,z)) = K(z,y) * x.
1 / x = K(y,z) * (K(z,y) / x).
K(x,y) * (K(y,x) / z) = 1 / z.
K(x,y) * K(z,u) = K(x,y) / K(u,z).
K(x,y) / K(z,u) = K(x,y) * K(u,z).
x / (K(y,z) * x) = K(z,y).
x / y = (y \ x) * K(y,y \ x).
(x \ y) * K(x,x \ y) = y / x.
(x * y) / x != y * z | K(x,y) = z.
R(x,x,x) = x * K(x * x,x).
x * K(x * x,x) = R(x,x,x).
R(x * K(y,x),y,z) = ((y * x) * z) / (y * z).
T(x * K(y,x),x \ y) = (x \ y) \ T(y,x).
(((1 / x) * y) * x) / (y * x) = T(x \ 1,y) * K(y * x,T(x \ 1,y)).
T(x \ 1,y) * K(y * x,T(x \ 1,y)) = (((1 / x) * y) * x) / (y * x).
(x * y) / T(x \ (x * y),z) = T(y * K(x,y),z) \ (x * y).
T(x * K(y,x),z) \ (y * x) = (y * x) / T(y \ (y * x),z).
((x \ 1) * y) / (x \ 1) = y * K(1 / x,y).
(x / y) * K(y \ x,y) = y \ x.
(1 / x) * K(y,1 / x) = K(y,1 / x) / x.
x / (x / y) = K(y \ x,y) * y.
K(K(x,y),z) = K(y,x) * T(K(x,y),z).
K(x,y) * T(K(y,x),z) = K(K(y,x),z).
R(K(x,y) / z,z,y) = ((x * y) / x) / (z * y).
K(x \ 1,K(y,z)) = (((1 / x) * K(y,z)) * x) / K(y,z).
(((1 / x) * K(y,z)) * x) / K(y,z) = K(x \ 1,K(y,z)).
R(x,1 / x,(1 / x) \ 1) = x * K(x,1 / x).
K(x \ y,x) * y = (x \ y) * x.
(x * y) \ (x * y) = K(y * x,K(x,y)).
K(x * y,K(y,x)) = (y * x) \ (y * x).
(x * y) \ K(x,y) = (y * x) \ 1.
(x * y) * z = K(x,y) * ((y * x) * z).
K(x,y) * ((y * x) * z) = (x * y) * z.
(x * y) / (z \ (y * x)) = K(x,y) * z.
(x * y) / z = K(x,y) * ((y * x) / z).
K(x,y) * ((y * x) / z) = (x * y) / z.
K(x,y) * (R(y,z,u) * x) = x * R(y,z,u).
K(x,y) * (K(y,x) * z) = z.
K(x,y) \ z = K(y,x) * z.
(1 / x) / (K(y,z) / x) = K(z,y).
(1 / x) * y = K(z,u) * ((K(u,z) / x) * y).
K(x,y) * ((K(y,x) / z) * u) = (1 / z) * u.
T(x,K(y,z)) = K(z,y) * (x * K(y,z)).
K(x,y) * (z * K(y,x)) = T(z,K(y,x)).
x != K(y,z) * u | K(z,y) * x = u.
K(x,y) * z != u | K(y,x) * u = z.
T(x,K(y,z)) = (K(z,y) * x) * K(y,z).
(K(x,y) * z) * K(y,x) = T(z,K(y,x)).
x / (y \ (K(z,u) * x)) = K(u,z) * y.
(K(x,y) / z) \ u = (1 / z) \ (K(y,x) * u).
(1 / x) \ (K(y,z) * u) = (K(z,y) / x) \ u.
(K(x,y) * z) \ u = z \ (K(y,x) * u).
K(x,y) \ (K(z,u) * K(x,y)) = T(K(u,z),K(x,y)) \ 1.
K(x,y) \ x = x * K(y,x).
(x * K(y,x)) \ 1 = x \ K(x,y).
x * a(x,x,x) = R(x,x,x).
K(x \ 1,y) / x = T(1 / x,y).
K(x \ (x / y),x) = K(y \ 1,x).
x \ K(1 / x,y) = T(x \ 1,y).
(x / y) \ K(y / x,z) = T((x / y) \ 1,z).
K(x,y) * (z * x) = T(x,y) * T(z,x).
K(x / y,y) * ((x / y) * z) = (y \ x) * z.
K(x,y) * (R(x,z,u) \ x) = T(x,y) * R(x \ 1,z,u).
T(x,y) * R(x \ 1,z,u) = K(x,y) * (R(x,z,u) \ x).
(T(x,y) * z) \ K(x,y) = (x * z) \ 1.
(T(x,y) * z) * u = K(x,y) * ((x * z) * u).
K(x,y) * ((x * z) * u) = (T(x,y) * z) * u.
T(T(x,y) * z,K(x,y)) = (x * z) * K(x,y).
(T(x,y) * z) / u = K(x,y) * ((x * z) / u).
K(x,y) * ((x * z) / u) = (T(x,y) * z) / u.
K(T(x,y),z) * x = T(T(x,y),z) * K(y,x).
T(T(x,y),z) * K(y,x) = K(T(x,y),z) * x.
K(x,y) * T(x,z) = T(x,y) * K(x,z).
K(x,y) \ (T(y,x) \ z) = y \ z.
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,T(y,K(x,z))) = T(x,y * K(x,z)).
T(x,K(y,x) * z) = T(x,z).
K(K(x,y) * z,x) = T(x,z) \ x.
T(T(x,y),z) = T(T(x,z),K(u,x) * y).
T(T(x,y),K(z,x) * u) = T(T(x,u),y).
K(x,L(y,z,u)) * (L(T(y,x),z,u) * w) = L(y,z,u) * w.
K(x,y) * (z * T(y,x)) = y * T(z,T(y,x)).
K(x,y / x) * ((x \ y) * z) = (y / x) * z.
(x * y) / z = K(u,x) * ((T(x,u) * y) / z).
K(x,y) * ((T(y,x) * z) / u) = (y * z) / u.
x * (((x \ y) \ y) \ z) = K(x \ y,x) * z.
T(x,y) \ (x * z) = K(y,x) * z.
K(x,y) * (y \ z) = T(y,x) \ z.
T(K(x,y) * z,y) = T(y,x) \ (z * y).
T(x,y) \ (z * x) = T(K(y,x) * z,x).
(x / y) * (T(y,x) * K(x / y,T(y,x))) = (y \ x) * T(y,x).
x \ (T(x,y) * z) = K(x,y) * z.
(x / y) * z != T(x / y,u) * x | z = y * T(y \ x,u).
K(x / y,z) * x = y * T(y \ x,z).
x * y != T(x,x \ z) * ((x \ z) * u) | y = (z / x) * u.
K(x,x \ y) * ((x \ y) * z) = (y / x) * z.
x * y != T(x,z) * T(z,x * z) | y = L(z,x,z).
K(x,y) * T(y,x * y) = L(y,x,y).
x * y != T(x,z) * R(z,x,x \ 1) | y = (x * z) * (x \ 1).
K(x,y) * R(y,x,x \ 1) = (x * y) * (x \ 1).
x * y != T(x,x \ z) * (x \ z) | y = z / x.
K(x,x \ y) * (x \ y) = y / x.
x * K(x,y) = T(x,y) * 1.
T(x,y) * 1 = x * K(x,y).
L(x,K(y,z) * u,y) = (T(y,z) * u) \ (y * ((K(y,z) * u) * x)).
(T(x,y) * z) \ (x * ((K(x,y) * z) * u)) = L(u,K(x,y) * z,x).
x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)).
T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)).
x * ((R(y,z,u) \ y) * K(x,w)) = T(x,w) * (R(y,z,u) \ y).
x * (K(x,y) / z) = T(x,y) * (1 / z).
T(x,y) * (1 / z) = x * (K(x,y) / z).
x * R(K(x,y) * z,u,w) = T(x,y) * R(z,u,w).
x * y = T(x,z) * (K(z,x) * y).
T(x,y) * (K(y,x) * z) = x * z.
K(L(x,y,z),u) * (L(T(x,u),y,z) \ w) = L(x,y,z) \ w.
K(x / y,y) * ((y \ x) \ z) = (x / y) \ z.
K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z.
K(x,y) * (x \ (y \ z)) = x \ (T(y,x) \ z).
K(x,y) * (x \ R(x,z,u)) = x \ R(T(x,y),z,u).
(x \ y) \ K(x,z) = (T(x,z) \ y) \ 1.
(T(x,y) \ z) \ 1 = (x \ z) \ K(x,y).
(x \ y) * z = K(x,u) * ((T(x,u) \ y) * z).
K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u.
K(x,y) * (x \ 1) = x \ K(x,y).
((x \ y) \ y) / z = K(x,x \ y) * (x / z).
x \ T(y,K(x,z)) = T(x,z) \ (y * K(x,z)).
T(x,y) \ (z * K(x,y)) = x \ T(z,K(x,y)).
T(x,y) / T(z,z \ x) = K(x,y) * (z \ x).
T(x,y) / R(x,z,u) = K(x,y) * (R(x,z,u) \ x).
K(x,y) * (R(x,z,u) \ x) = T(x,y) / R(x,z,u).
K((K(x,y) * z) \ 1,u) = K((z \ x) / T(x,y),u).
K(L(x,y,z),u) * (L(x,y,z) / w) = L(T(x,u),y,z) / w.
(T(x,y) / z) * u = K(x,y) * ((x / z) * u).
K(x,y) * ((x / z) * u) = (T(x,y) / z) * u.
K(x,y) * (R(x,z,u) / w) = T(R(x,z,u),y) / w.
T(x,T(y,x) / z) = T(x,y / z).
x * (T(x,y) \ (y / z)) = T(y,x) / z.
(T(x,y) * z) \ u = (x * z) \ (K(y,x) * u).
(x * y) \ (K(z,x) * u) = (T(x,z) * y) \ u.
x \ (y * K(z,x)) = T(x,z) \ T(y,K(z,x)).
T(x,y) \ T(z,K(y,x)) = x \ (z * K(y,x)).
R(T(x,y),T(x,y) \ 1,z) = z / ((x \ (K(y,x) * 1)) * z).
T(K(x,y) * z,z \ T(y,x)) = (z \ T(y,x)) \ y.
x / (y \ ((x \ z) \ z)) = K(x \ z,x) * y.
x / R(y,y \ x,y) = K(y,x) * (y \ x).
x / T(T(x,y),z) = K(y,x) * K(z,T(x,y)).
K(x,y) * K(z,T(y,x)) = y / T(T(y,x),z).
x / (K(y,z) * T(x,u)) = K(u,x) * K(z,y).
K(x,y / x) * ((x \ y) / z) = (y / x) / z.
K(x,y * x) * T(y,x) = (y * x) / R(x,y,x).
(x / y) \ K(z,x) = (T(x,z) / y) \ 1.
(T(x,y) / z) \ 1 = (x / z) \ K(y,x).
x * (y / z) = T(x,y) * (T(y,x) / z).
T(x,y) * (T(y,x) / z) = x * (y / z).
x \ (x / y) = T(x,z) \ (T(x,z) / y).
T(x,y) \ (T(x,y) / z) = x \ (x / z).
K(x,T(y,z)) = K(x,T(y * K(x,y),z)).
K(x,T(y * K(x,y),z)) = K(x,T(y,z)).
T(x,y) * K(z,T(x * K(z,x),y)) = T(x * K(z,x),y).
K(x,x \ y) * y = x * (y / x).
T(x,y) \ R(K(x,y) * z,u,w) = x \ R(z,u,w).
T(1 / x,y) \ (K(x \ 1,y) * z) = (1 / x) \ z.
K(x,y) * (x \ z) = x \ (K(x,y) * z).
x \ (K(x,y) * z) = K(x,y) * (x \ z).
T(K(x,y) * z,z \ K(y,x)) = (z \ K(y,x)) \ 1.
(x \ (y \ x)) * K(x,y \ 1) = (y \ x) / x.
K(x,y) * z != u | z = K(y,x) * u.
x = K(x,x \ y) * (y / (y / x)).
K(x,x \ y) * (y / (y / x)) = x.
(x / (x / y)) / (z \ y) = K(y \ x,y) * z.
(x / (x / y)) / z = K(y \ x,y) * (y / z).
((x \ y) * x) / z = K(x \ y,x) * (y / z).
K(x \ y,x) * (y / z) = ((x \ y) * x) / z.
x \ K(y,y \ x) = ((y \ x) * y) \ 1.
((x \ y) * x) \ 1 = y \ K(x,x \ y).
T(x,(y \ K(y,z)) \ 1) = T(x,y * K(z,y)).
(x / y) \ 1 = (y \ x) \ K(y \ x,y).
(x \ y) \ K(x \ y,x) = (y / x) \ 1.
K(((x * (1 / y)) / x) \ 1,z) = (x * (y \ T(y,z))) / x.
(x / y) / ((x / y) / x) = x * K(y \ 1,x).
(x \ y) \ 1 = (T(x,z) \ y) \ K(z,x).
(T(x,y) \ z) \ K(y,x) = (x \ z) \ 1.
K(x,y) * ((y \ z) * u) = (T(y,x) \ z) * u.
(x \ y) \ z = (T(x,u) \ y) \ (K(u,x) * z).
(T(x,y) \ z) \ (K(y,x) * u) = (x \ z) \ u.
K(x,y) = K(K(y,z) * x,y).
K(K(x,y) * z,x) = K(z,x).
K(x,y) = K(K(z,y) * x,y).
K(K(x,y) * z,y) = K(z,y).
K(T(x,y) * z,x) = K(x * z,x).
K(x \ y,x) = K(T(x,z) \ y,x).
K(T(x,y) \ z,x) = K(x \ z,x).
(x * y) / (K(z,x) * y) = T(x,z).
T(x,y) \ T(x,z) = K(y,x) * K(x,z).
T(x,y) \ K(x \ 1,z) = K(y,x) * T(x \ 1,z).
x * (K(y,x) * z) = K(y,x) * (x * z).
K(x,y) * (y * z) = y * (K(x,y) * z).
T(x,y) \ (K(z,x) * u) = K(y,x) * (T(x,z) \ u).
K(x,x \ 1) * ((x \ 1) \ y) = ((x * x) \ x) \ y.
(T(x,y) \ z) / u = K(y,x) * ((x \ z) / u).
K(x,y) * ((y \ z) / u) = (T(y,x) \ z) / u.
T(x,y) \ K(x,x \ 1) = K(y,x) / x.
K(x,y) * (R(y,z,u) \ w) = T(R(y,z,u),x) \ w.
T(x,x \ (x \ y)) \ y = (x \ (x \ y)) * x.
K(x,T(y,z)) * (K(z,y) * u) = T(T(y,z),x) \ (y * u).
x \ y = K(x \ y,x) * (y / x).
K(x \ y,x) * (y / x) = x \ y.
(x / y) / (z \ (y \ x)) = K(y,y \ x) * z.
(x / y) / z = K(y,y \ x) * ((y \ x) / z).
K(x,x \ y) * ((x \ y) / z) = (y / x) / z.
K(x,y \ 1) * (x \ (y \ x)) = (y \ x) / x.
K(x,y) * ((y * x) / y) = x.
x * y != T(x,z) * u | K(z,x) * y = u.
T(x,y) * z != x * u | K(y,x) * u = z.
a(x,T(y,z),K(z,y) * u) = (x * (y * u)) \ ((x * T(y,z)) * (K(z,y) * u)).
(x * (y * z)) \ ((x * T(y,u)) * (K(u,y) * z)) = a(x,T(y,u),K(u,y) * z).
(T(x,y) \ 1) * T((T(x,y) \ 1) \ (K(y,x) * z),u) = T(x,y) \ T(x * z,u).
T(x,y) \ (y * (K(x,y) * z)) = x \ (y * z).
K(R(x,x \ y,y \ 1),z) * ((x \ y) * (y \ 1)) = R(x,x \ y,y \ 1) \ K(R(x,x \ y,y \ 1),z).
R(x,x \ y,y \ 1) \ K(R(x,x \ y,y \ 1),z) = K(R(x,x \ y,y \ 1),z) * ((x \ y) * (y \ 1)).
(x * (y / x)) / z = K(x,x \ y) * (y / z).
K(x,x \ y) * (y / z) = (x * (y / x)) / z.
K(((x \ y) \ y) \ z,x) = K(x \ z,x).
(x \ y) / (z \ (y / x)) = K(x \ y,x) * z.
L(L(x \ 1,x,y),z,(y * x) \ y) = T(((y * x) \ y) * K(z,(y * x) \ y),((y * x) \ y) * z).
T(((x * y) \ x) * K(z,(x * y) \ x),((x * y) \ x) * z) = L(L(y \ 1,y,x),z,(x * y) \ x).
L(x,y,x) = (x * K(y,x)) * K(x * K(y,x),x * y).
(x * K(y,x)) * K(x * K(y,x),x * y) = L(x,y,x).
K(x,y) * T(y,y * x) = L(y,x,y).
L(x,y,x) * z = K(y,x) * (T(x,x * y) * z).
K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z.
L(K(x,y) \ (T(y,z) \ u),K(x,y),T(y,z)) = (K(x,y) * T(y,z)) \ u.
T(x,y) \ (T(y,z) * K(x,y)) = x \ T(y,z).
1 / (T(x,y) \ K(x,z)) = T(x,y) * K(z,x).
T(x,x * y) * K(y,x) = L(x,y,x).
x \ L(x,y,x) = K(x,x * y) * K(y,x).
K(x,x * y) * K(y,x) = x \ L(x,y,x).
((x * y) / x) * z = K(x,y) * (y * z).
K(x,y) * (y * z) = ((x * y) / x) * z.
T(T(x * y,x) / y,x * y) = x.
T(x \ T(x * y,y),y * x) = y.
(T(x,y) \ 1) * T(z,T(x,y) \ 1) = z * (x \ K(y,x)).
K(x * y,K(y,x)) = 1.
T(x * y,K(y,x)) = x * y.
K(x,y) * T(y * x,z) = T(y * x,z) * K(x,y).
T(x * y,z) * K(y,x) = K(y,x) * T(x * y,z).
K(x,y) * z = (x * y) * ((y * x) \ z).
(x * y) * ((y * x) \ z) = K(x,y) * z.
(x * y) * z != K(x,y) * u | (y * x) * z = u.
K(x,y) * z != (x * y) * u | (y * x) * u = z.
K(1 / x,y) * R(y,x,x \ 1) = ((1 / x) * y) * x.
K(x,y) * T(y * x,z) = (x * y) * K(y * x,z).
x * ((x * y) * z) = T(x,y) * ((y * x) * z).
T(x,y) * ((y * x) * z) = x * ((x * y) * z).
x \ ((y * x) * z) = T(x,y) \ ((x * y) * z).
T(x,y) \ ((x * y) * z) = x \ ((y * x) * z).
x \ ((y * x) / z) = T(x,y) \ ((x * y) / z).
T(x,y) \ ((x * y) / z) = x \ ((y * x) / z).
T(x,K(y,z) * u) = u \ (K(z,y) * (x * (K(y,z) * u))).
x \ (K(y,z) * (u * (K(z,y) * x))) = T(u,K(z,y) * x).
(x * y) \ z = (y * x) \ (K(y,x) * z).
(x * y) \ (K(x,y) * z) = (y * x) \ z.
(x * K(y,z)) \ K(x,K(y,z)) = x \ (K(z,y) * 1).
(T(x,y) \ z) \ u = (x \ z) \ (K(x,y) * u).
(x \ y) \ (K(x,z) * u) = (T(x,z) \ y) \ u.
K(x,y) * ((x \ y) * x) = (x \ y) * T(x,y).
x \ (K(x,y) * T(x,z)) = K(x,y) * K(x,z).
T(x \ y,z) \ y = T(K(z,x \ y) * x,x \ y).
T(K(x,y \ z) * y,y \ z) = T(y \ z,x) \ z.
K((x * (y * z)) / (x * z),u) * (x * (y * z)) = (x * z) * T(L(T(y,z),z,x),u).
T(T(x,y) \ 1,z) \ 1 = (x \ K(T(x,y) \ 1,z)) \ K(x,y).
(x \ K(T(x,y) \ 1,z)) \ K(x,y) = T(T(x,y) \ 1,z) \ 1.
x \ T(x * (y / x),x) = T(y,x) / x.
T(x,y / x) * ((x \ y) / z) = x * ((y / x) / z).
T(x * y,y) \ T(x,y) = (x * y) \ ((x * y) / R(y,x,y)).
(x * y) \ ((x * y) / R(y,x,y)) = T(x * y,y) \ T(x,y).
K(x,y) * (x \ (x / z)) = x \ (T(x,y) / z).
(1 / x) * ((K(x,y) * (x \ z)) * x) = T((1 / x) * (K(x,y) * z),x).
x \ (K(x,y) / z) = K(x,y) * (x \ (1 / z)).
K(x,y) * (x \ (1 / z)) = x \ (K(x,y) / z).
((x \ y) \ z) \ K(x,y / x) = ((y / x) \ z) \ 1.
(x \ R(x,y,z)) \ K(u,x) = (x \ R(T(x,u),y,z)) \ 1.
(x \ R(T(x,y),z,u)) \ 1 = (x \ R(x,z,u)) \ K(y,x).
(x \ 1) \ K(y,x) = (x \ K(x,y)) \ 1.
(x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x).
K(x * y,x) * K(x,y) = x \ R(x,y,x).
K(x,y) * K(y,y * x) = R(y,x,y) \ y.
(x * K(y,x)) * z = x * (K(y,x) * z).
((x * y) / x) * z = y * (K(x,y) * z).
((x \ y) * x) * (y \ z) = K(x \ y,x) * z.
T(x,y) = (x * y) * ((y * x) \ x).
K(x,y * z) * (K(y,z) * u) = ((x * (y * z)) / x) * ((z * y) \ u).
((x * (y * z)) / x) * ((z * y) \ u) = K(x,y * z) * (K(y,z) * u).
(x * y) \ T(x,y) = (y * x) \ x.
R(x,y,(y * x) \ x) = T(x,y) / (y * ((y * x) \ x)).
T(x,y) / (y * ((y * x) \ x)) = R(x,y,(y * x) \ x).
x \ T(y,y \ x) = ((y \ x) * y) \ y.
((x \ y) * x) \ x = y \ T(x,x \ y).
x \ T(x / y,y) = (y * (x / y)) \ (x / y).
(x * (y / x)) \ (y / x) = y \ T(y / x,x).
(x * (y / x)) \ T(x,y / x) = y \ x.
x * (T(y,x) / x) = T(x * (y / x),x).
T(x * (y / x),x) = x * (T(y,x) / x).
R(x,K(y,x),z) = x.
L(x,K(y,z),z) = x.
(x / (x / y)) * z = y * (K(y \ x,y) * z).
(x / y) * z = (y \ x) * (K(y,y \ x) * z).
(x \ y) * (K(x,x \ y) * z) = (y / x) * z.
x * R(y,K(z,x),u) = R(x * y,K(z,x),u).
R(x * y,K(z,x),u) = x * R(y,K(z,x),u).
K(x,x \ 1) = a(x,x \ 1,x).
a(x,x \ 1,x) = K(x,x \ 1).
x \ (((y * x) / y) * z) = K(y,x) * z.
((x * y) / x) * T(z,K(x,y)) = y * (z * K(x,y)).
((x * y) / x) * T(y,x) = y * y.
(x * (y / x)) \ T(x,x \ y) = y \ x.
T(x * (y / x),x) = x * (y / T(x,y)).
(x \ y) \ ((y / x) * z) = K(x,x \ y) * z.
x \ y = K(z,x) * (((z * x) / z) \ y).
K(x,y) * (((x * y) / x) \ z) = y \ z.
x \ ((y / (y / x)) * z) = K(x \ y,x) * z.
(x * ((x / y) / x)) \ T(x,x \ (x / y)) = y.
K(x,y) * (x \ z) = ((y * x) / y) \ z.
((x * y) / x) \ z = K(y,x) * (y \ z).
K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z.
K(x,y) * (((x * R(y,z,u)) / x) \ w) = R(y,z,u) \ w.
K(x \ y,x) = K(((z * x) / z) \ y,x).
K(((x * y) / x) \ z,y) = K(y \ z,y).
(x / y) \ z = K(y \ x,y) * ((y \ x) \ z).
K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z.
((x * y) / x) \ (z * y) = K(y,x) * T(z,y).
(x / (x / y)) \ z = K(y,y \ x) * (y \ z).
((x * R(y,z,u)) / x) \ w = K(y,x) * (R(y,z,u) \ w).
K(x \ 1,x) = K(y / (y * x),x).
K(x / (x * y),y) = K(y \ 1,y).
T(x / (x * y),y) = (x / (x * y)) * K(y \ 1,y).
(x / (x * y)) * K(y \ 1,y) = T(x / (x * y),y).
R(T(x,y) / (z * x),u,w) = R(R(K(x,y) / z,u,w),z,x).
R(R(K(x,y) / z,u,w),z,x) = R(T(x,y) / (z * x),u,w).
L(x \ K(y / (x * y),z),x,y / (x * y)) = (x * R(x \ 1,x,y)) \ T(y / (x * y),z).
K(x * y,y \ 1) = K((1 / y) \ x,y \ 1).
K((1 / x) \ y,x \ 1) = K(y * x,x \ 1).
x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1).
((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1).
K(T(x,y),T(y,z)) = K(x,T(y,z)).
K(x \ y,T(x,z)) = K(y / x,T(x,z)).
K(x / y,T(y,z)) = K(y \ x,T(y,z)).
K(x / y,T(y,x)) = K(y \ x,y).
T(x / y,T(y,z)) = (x / y) * K(y \ x,T(y,z)).
(x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)).
x * y != T(x,z) * u | y = K(x,z) * u.
T(x,y) \ T(x,z) = K(x,z) * K(y,x).
K(x,y) * K(x * y,x) = x \ R(x,y,x).
K(x,y) * K(z,x) = K(z,x) * K(x,y).
T(K(x,y),K(y,z)) = K(x,y).
K(x,y) * K(y,y * x) = y \ L(y,x,y).
x * (K(y,x) * K(x,x * y)) = L(x,y,x).
x \ L(x,y,x) = R(x,y,x) \ x.
R(x,y,x) \ x = x \ L(x,y,x).
(R(R(x,y,x),z,u) * (x \ L(x,y,x))) / R((R(x,y,x) \ x) \ x,z,u) = R(x,y,x) \ x.
R(x,y,x) \ (R(R(x,y,x),z,u) * x) = R(R(x,y,x),z,u) * (x \ L(x,y,x)).
x \ (x \ L(x,y,x)) = R(x,y,x) \ 1.
(x \ L(x,y,x)) \ x = R(x,y,x).
x / R(x,y,x) = x \ L(x,y,x).
R((x \ L(x,y,x)) / z,z,R(x,y,x)) = x / (z * R(x,y,x)).
x * (R(x,y,x) \ 1) = x \ L(x,y,x).
L(R(x,y,x) \ 1,x,z) = (z * x) \ (z * (x \ L(x,y,x))).
(x * y) \ (x * (y \ L(y,z,y))) = L(R(y,z,y) \ 1,y,x).
(x * K(y,x)) * K(x,x * y) = L(x,y,x).
L(x,y,x) != (x * K(y,x)) * z | K(x,x * y) = z.
(x * K(y,x)) * z != L(x,y,x) | K(x,x * y) = z.
((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1).
(1 / x) * K(y,1 / x) = K(y,x \ 1) / x.
K(x * y,z) * ((z * x) * y) = (x * y) * R(z,x,y).
(x * y) \ (x * R(y,z,u)) = (y * x) \ (R(y,z,u) * x).
(x * y) \ (R(x,z,u) * y) = (y * x) \ (y * R(x,z,u)).
K(x,y) * z = (1 / u) * ((K(y,x) / u) \ z).
(1 / x) * ((K(y,z) / x) \ u) = K(z,y) * u.
(x / (y * x)) \ K((y * x) / x,z) = T(R(y,y,x),z).
T(x,y) * (x \ ((x * z) * u)) = (T(x,y) * z) * u.
T(x,y) \ ((T(x,y) * z) * u) = x \ ((x * z) * u).
x \ ((T(x,y) * z) * u) = K(x,y) * (x \ ((x * z) * u)).
K(x,y) * (x \ ((x * z) * u)) = x \ ((T(x,y) * z) * u).
K(x,y) * (z * K(x,z)) = (T(x,y) * z) / x.
K(x,y) * ((y * (x * z)) / u) = (y * (T(x,y) * z)) / u.
K(x,x \ y) * z = (y / x) * ((x \ y) \ z).
(x / y) * ((y \ x) \ z) = K(y,y \ x) * z.
((x / y) * z) \ K(y,y \ x) = ((y \ x) * z) \ 1.
((x / y) * z) * u = K(y,y \ x) * (((y \ x) * z) * u).
K(x,x \ y) * (((x \ y) * z) * u) = ((y / x) * z) * u.
((x / y) * z) \ u = ((y \ x) * z) \ (K(y \ x,y) * u).
((x \ y) * z) \ (K(x \ y,x) * u) = ((y / x) * z) \ u.
K(x,y) * ((x \ (x / z)) * u) = (x \ (T(x,y) / z)) * u.
(x * y) \ x = (T(x,z) * y) \ T(x,z).
(T(x,y) * z) \ T(x,y) = (x * z) \ x.
(x * y) \ (z * x) = (T(x,z) * y) \ (x * z).
(T(x,y) * z) \ (x * y) = (x * z) \ (y * x).
(x * y) \ (x * z) = (T(x,u) * y) \ (T(x,u) * z).
(T(x,y) * z) \ (T(x,y) * u) = (x * z) \ (x * u).
(((x \ y) \ y) * z) \ T(x,x \ y) = (x * z) \ x.
L(x \ 1,x,y) = (T(y,z) * x) \ T(y,z).
L(R(x,y,x) \ 1,R(x,y,x),y) = T(y * x,x) \ T(y,x).
x / L(x,y,x) = K(x * y,x) * K(x,y).
K(x * y,x) * K(x,y) = x / L(x,y,x).
x / L(x,y,x) = x \ R(x,y,x).
(x \ R(x,y,x)) * L(x,y,x) = x.
T(x,K(y \ z,y) * (y / u)) = T(x,z / (u * (z / y))).
T(x,y / (z * (y / u))) = T(x,K(u \ y,u) * (u / z)).
(((x \ y) * x) / z) / u = K(x \ y,x) * ((y / z) / u).
K(x \ y,x) * ((y / z) / u) = (((x \ y) * x) / z) / u.
K(x,y) * (z * (y \ R(y,u,w))) = (T(y,x) \ R(y,u,w)) * z.
T((T(x,y) \ z) * (z \ T(x,y)),u) = K(y,x) * ((x \ z) * (z \ T(x,y))).
K(x,y) * ((y \ 1) * z) = (y \ K(x,y)) * z.
(x \ y) / R(y / x,z,u) = K(x \ y,x) * (R(y / x,z,u) \ (y / x)).
K(x \ y,x) * (R(y / x,z,u) \ (y / x)) = (x \ y) / R(y / x,z,u).
1 / (K(x,y) / y) = T(y,x) * K(y \ 1,y).
T(x,y) * K(x \ 1,x) = 1 / (K(y,x) / x).
T(x,y) \ ((x * y) * (y \ 1)) = x \ T((y * x) * (y \ 1),x).
T(x,y * y) \ (x * L(y,y,x)) = x \ (((y * y) * x) / y).
a(x \ y,x,y \ z) = ((x \ y) * (x * (y \ z))) \ (K(x \ y,x) * z).
((x \ y) * (x * (y \ z))) \ (K(x \ y,x) * z) = a(x \ y,x,y \ z).
(x * (y / x)) \ (y / x) = y \ (x \ y).
(1 / (1 / x)) * y = x * (y * K(x \ 1,x)).
x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y.
(x / (x / y)) * x = y * ((y \ x) * y).
x * ((y \ 1) \ 1) = K(y,y \ 1) * (x * y).
K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1).
R(x / (y / z),u,w) * (y / z) = (z \ y) * (K(z,z \ y) * R((y / z) \ x,u,w)).
(x \ y) * (K(x,x \ y) * R((y / x) \ z,u,w)) = R(z / (y / x),u,w) * (y / x).
(x \ y) * ((K(x,x \ y) * z) * u) = (y / x) * (z * u).
(x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z).
(x \ y) * (((x \ y) \ y) / z) = (y / x) * (x / z).
(x * R(y,K(y,x),z)) \ ((y * x) * z) = K(y,x) * z.
((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1.
((x / y) \ z) * u = K(y \ x,y) * (((y \ x) \ z) * u).
K(x \ y,x) * (((x \ y) \ z) * u) = ((y / x) \ z) * u.
((x / y) \ z) \ u = ((y \ x) \ z) \ (K(y,y \ x) * u).
((x \ y) \ z) \ (K(x,x \ y) * u) = ((y / x) \ z) \ u.
(x / y) \ (y \ z) = (y \ x) \ (T(y,y \ x) \ z).
(x \ y) \ (T(x,x \ y) \ z) = (y / x) \ (x \ z).
(x / (x / y)) \ (y * z) = K(y,y \ x) * z.
(1 / (1 / x)) \ y = (x \ y) * K(x,x \ 1).
(x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y.
(x \ y) \ ((y / (y / x)) \ z) = T(x \ y,x) \ (x \ z).
T(x \ y,x) \ (x \ z) = (x \ y) \ ((y / (y / x)) \ z).
(x * (1 / y)) / x = K(x,y \ 1) / y.
K(x,y \ 1) / y = (x * (1 / y)) / x.
(x * (y * z)) \ (x * y) = (x * (T(y,x) * z)) \ (y * x).
(x * (T(y,x) * z)) \ (y * x) = (x * (y * z)) \ (x * y).
((x \ K(y,x)) * z) \ u = ((x \ 1) * z) \ (K(x,y) * u).
((x \ 1) * y) \ (K(x,z) * u) = ((x \ K(z,x)) * y) \ u.
x * ((y \ 1) \ 1) != K(y,y \ 1) * z | x * y = z.
K(x,x \ 1) * y != z * ((x \ 1) \ 1) | z * x = y.
K(x,x \ 1) * (y * x) = y * T(x,x \ 1).
x * T(y,y \ 1) != K(y,y \ 1) * z | x * y = z.
K(x,x \ 1) * y != z * T(x,x \ 1) | z * x = y.
R(x,1 / x,x) = x * K(x,1 / x).
x * K(x,1 / x) = R(x,1 / x,x).
x * y != R(x,1 / z,z) | y = a(x,1 / z,z).
K(x,1 / x) = a(x,1 / x,x).
a(x,1 / x,x) = K(x,1 / x).
a(x \ 1,x,x \ 1) = K(x \ 1,1 / (x \ 1)).
K(x \ 1,1 / (x \ 1)) = a(x \ 1,x,x \ 1).
K(x,x * y) * T(y,x) = (y * x) / R(x,y,x).
K(x \ 1,x) = a(x \ 1,x,x \ 1).
a(x \ 1,x,x \ 1) = K(x \ 1,x).
K(x,y) * (z * R(x,u,w)) = R(T(x,y),u,w) * T(z,x).
R(T(x,y),z,u) * T(w,x) = K(x,y) * (w * R(x,z,u)).
((x * y) * (x \ 1)) * K((x * y) / x,x) = R(y,x,x \ 1).
T(x \ K(y,x),z) = T(T(x,y) \ 1,z).
T(T(x,y) \ 1,z) = T(x \ K(y,x),z).
T(x,y * ((T(z,u) \ 1) \ K(w,T(z,u) \ 1))) = T(x,y / T(z \ K(u,z),w)).
x * R(x \ y,z,u) = T(x,w) * R(T(x,w) \ y,z,u).
T(x,y) * R(T(x,y) \ z,u,w) = x * R(x \ z,u,w).
K(x \ (K(y,z) * 1),u) = K((x \ z) / T(z,y),u).
K(x,y) * (R(x,z,u) / w) = R(T(x,y),z,u) / w.
T(x,y) \ R(T(x,y) * z,u,w) = x \ R(x * z,u,w).
K(x,y) * (R(y,z,u) \ w) = R(T(y,x),z,u) \ w.
K(x \ y,x) * (R(x,z,u) \ w) = R((x \ y) \ y,z,u) \ w.
R((x \ y) \ y,z,u) \ w = K(x \ y,x) * (R(x,z,u) \ w).
(x * K(y,z)) \ K(x,K(y,z)) = x \ K(z,y).
T(x,y) * (x \ (z * u)) = (T(x,y) * (x \ z)) * u.
(T(x,y) * (x \ z)) * u = T(x,y) * (x \ (z * u)).
(x \ y) \ ((T(y / x,x) * z) * u) = (y / x) \ (((y / x) * z) * u).
(x \ R(x,y,z)) \ K(x,x \ 1) = ((x \ 1) * R(x,y,z)) \ 1.
(T(x,y) * z) \ (x * (x * y)) = (x * z) \ (x * (y * x)).
(((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ x.
(x \ y) \ (((x \ y) \ y) \ z) = (y / x) \ (x \ z).
K(x \ K(y,z),u) = K((x \ z) / T(z,y),u).
K((x \ y) / T(y,z),u) = K(x \ K(z,y),u).
K(x,y) * (R(T(x,y),z,u) \ w) = R(x,z,u) \ w.
(T(x,y) * (x \ z)) * u != T(x,y) * w | x \ (z * u) = w.
T(x,y) * z != (T(x,y) * (x \ u)) * w | x \ (u * w) = z.
T(x,y) * (x \ ((z / T(x,z)) * x)) = T(T(x,y) * (x \ z),x).
K(x,y) * (R(x,z,u) \ x) = R(x,z,u) \ T(x,y).
x * (R(x,y,z) \ T(x,u)) = T(x,u) * (R(x,y,z) \ x).
T(x,y) * (R(x,z,u) \ x) = x * (R(x,z,u) \ T(x,y)).
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).
(x \ y) / R(y / x,z,u) = R(y / x,z,u) \ T(y / x,x).
R(x / y,z,u) \ T(x / y,y) = (y \ x) / R(x / y,z,u).
K(x,x * y) = K(x * K(y,x),x * y).
K(x * K(y,x),x * y) = K(x,x * y).
(x / (y * x)) \ K(y,z) = T(R(y,y,x),z).
R(T(x,y),x,z) = (z / (x * z)) \ K(x,y).
(x / (y * x)) \ K(y,z) = R(T(y,z),y,x).
((x * (y / (z * y))) * R(T(z,u),z,y)) / K(z,u) = R(x,y / (z * y),(y / (z * y)) \ K(z,u)).
R(x,y / (z * y),(y / (z * y)) \ K(z,u)) = ((x * (y / (z * y))) * R(T(z,u),z,y)) / K(z,u).
(x * y) \ ((y * x) * z) = K(y,x) * z.
T(K(x,y),K(z,u)) = T(K(y,x),K(z,u)) \ 1.
T(K(x,y),K(z,u)) \ 1 = T(K(y,x),K(z,u)).
T(x,y) * R(x \ 1,z,u) = R(x,z,u) \ T(x,y).
T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y).
(x * (y \ T(y,z))) / x = K(x / (x * (1 / y)),z).
K(x / (x * (1 / y)),z) = (x * (y \ T(y,z))) / x.
K(x / (x * (1 / y)),z) = (x * K(y,z)) / x.
K(x / (x * (1 / y)),z) = x / (x / K(y,z)).
K(x,y) * (K(x,y) * z) = T(T(y,x),x) \ (y * z).
T(T(x,y),y) \ (x * z) = K(y,x) * (K(y,x) * z).
K(x,x \ y) * (R(y / x,z,u) \ w) = R(x \ y,z,u) \ w.
((x * R(y,z,u)) / x) \ y = R(y,z,u) \ T(y,x).
R(x / y,z,u) \ (y \ x) = R(y \ x,z,u) \ T(y \ x,y).
R(x \ y,z,u) \ T(x \ y,x) = R(y / x,z,u) \ (x \ y).
(x * y) \ ((y * (T(x,y) * z)) / u) = (y * x) \ ((y * (x * z)) / u).
((1 / x) * y) * x = ((x \ 1) * y) * T(x,x \ 1).
((x \ 1) * y) * T(x,x \ 1) = ((1 / x) * y) * x.
((1 / x) * y) * x = ((x \ 1) * y) * ((x \ 1) \ 1).
((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x.
T(((x \ 1) * y) * T(x,x \ 1),x \ 1) = R(y,x,x \ 1).
((1 / x) * (x * y)) \ y = a(x \ 1,x,y).
((x \ y) * z) \ ((x \ y) * x) = ((y / x) * z) \ y.
((x \ y) * z) \ (x \ y) = ((y / x) * z) \ (y / x).
((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x).
L(x,y,y \ 1) \ x = a(y \ 1,y,x).
(x * y) \ ((z \ (z * x)) * z) = (((z * x) / z) * y) \ (z * x).
(((x * y) / x) * z) \ (x * y) = (y * z) \ ((x \ (x * y)) * x).
L(x,y,(y * x) \ z) = ((z / (y * x)) * y) \ z.
L(x \ y,x,y \ z) = ((z / y) * x) \ z.
x / L(y \ z,y,z \ x) = (x / z) * y.
L((x \ y) \ x,x \ y,x \ y) = ((x \ y) * (y / x)) \ y.
x / L(y,z,(z * y) \ x) = (x / (z * y)) * z.
x / L(y,z / y,z \ x) = (x / z) * (z / y).
L(x,y,(y * x) \ x) = (R(y,y,x) \ y) \ x.
L(x,y,(y * x) \ x) \ x = (x / (y * x)) * y.
L(x,y,(y * x) \ ((y * z) * x)) = (R(z * K(y,z),y,x) * y) \ ((y * z) * x).
T(x,y) / L(y,x,(y * x) \ x) = (T(x,y) / (x * y)) * x.
(R(x,x,y) \ x) \ (y / (x * y)) = (((x * y) \ y) * x) \ ((x * y) \ y).
((x \ y) * (x / y)) \ (x \ y) = 1 / (x / y).
L(x,y,y \ 1) \ (1 / y) = ((y \ 1) * (y * x)) \ (y \ 1).
((x \ 1) * (x * y)) \ (x \ 1) = L(y,x,x \ 1) \ (1 / x).
L((x / y) \ 1,x / y,x \ y) = 1 / (x / y).
1 / ((x \ y) / y) = (x * ((x \ y) / y)) \ x.
(x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y).
(x \ y) * (x * z) = (y / x) * ((y / (y / x)) * z).
(x / y) * ((x / (x / y)) * z) = (y \ x) * (y * z).
((x \ y) \ z) \ T(x,x \ y) = ((y / x) \ z) \ x.
((x \ y) \ z) \ ((x \ y) \ y) = ((y / x) \ z) \ x.
(x * (y * T(y,x))) \ (y * x) = (x * (y * y)) \ (x * y).
((x \ 1) * y) \ K(x,z) = ((x \ K(z,x)) * y) \ 1.
((x \ K(y,x)) * z) \ 1 = ((x \ 1) * z) \ K(x,y).
T(x \ 1,y) * R(T(x \ 1,y) \ z,u,w) = x \ R(x * z,u,w).
(x * y) * R((x * y) \ (y * z),u,w) = y * (x * R(x \ z,u,w)).
x * (y * R(y \ z,u,w)) = y * (x * R(x \ (y \ (x * z)),u,w)).
x * (y * R(y \ (x \ (y * z)),u,w)) = y * (x * R(x \ z,u,w)).
x * (y * R(y \ (x \ (y * z)),u,w)) = (x * R(x \ z,u,w)) * T(y,z).
(x * R(x \ y,z,u)) * T(w,y) = x * (w * R(w \ (x \ (w * y)),z,u)).
(x \ y) \ R(T(y / x,x) * z,u,w) = (y / x) \ R((y / x) * z,u,w).
T(x * y,y) \ T(x,y) = T(y * x,y) \ (x * 1).
T(x * y,y) \ T(x,y) = T(y * x,y) \ x.
(x * y) \ ((x * y) / R(y,x,y)) = T(y * x,y) \ x.
x \ (((y * y) * x) / y) = K(y * y,x) * L(y,y,x).
K(x * x,y) * L(x,x,y) = y \ (((x * x) * y) / x).
((x * y) * (x \ 1)) * K(x \ (x * y),x) = R(y,x,x \ 1).
L((x * y) \ 1,x * y,x \ 1) = L(y,x,x \ 1) \ (1 / x).
((x * y) * (x \ 1)) * K(y,x) = R(y,x,x \ 1).
T(x,y) / (x / y) = (x * (y * K(y \ x,y))) / x.
(x * (y * K(y \ x,y))) / x = T(x,y) / (x / y).
T(x * K(y,x),z) \ (y * x) = (y * x) / T(x,z).
(x / y) * (T(y,x) * K(y \ x,y)) = (y \ x) * T(y,x).
T(x,y) \ R(x,y,y \ 1) = x \ T((y * x) * (y \ 1),x).
T(x,y) * (x \ T(z,x)) = T(T(x,y) * (x \ z),x).
T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)).
T(T(x,y) * (x \ z),x) = y * (T(y,x) \ T(z,x)).
T(K(x,y) * z,x) = y * (T(y,x) \ T(z,x)).
x * (T(x,y) \ T(z,y)) = T(K(y,x) * z,y).
T(K(x,y) * z,x) = K(x,y) * T(z,x).
x * K(T(x,y),z) = T(K(y,x) * T(x,z),y).
T(K(x,y) * T(y,z),x) = y * K(T(y,x),z).
T(x * K(y,z),y) = K(y,z) * T(T(x,K(y,z)),y).
K(x,y) * T(T(z,K(x,y)),x) = T(z * K(x,y),x).
((x * y) / x) \ (z * y) = T(K(y,x) * z,y).
T(T(x,y) * K(z,x),z) = x * K(T(x,z),y).
(x / y) \ (z * (y \ x)) = T(K(y \ x,y) * z,y \ x).
T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)).
K(T(x,y) * K(z,x),z) = (T(x,y) * K(z,x)) \ (x * K(T(x,z),y)).
(T(x,y) * K(z,x)) \ (x * K(T(x,z),y)) = K(T(x,y) * K(z,x),z).
T(x * K(y,z),y) = T(x,y) * K(y,z).
T(T(x,y) * K(z,u),z) = T(T(x,z),y) * K(z,u).
K(x,y) * (x * K(y,z)) = T(x * K(y,z),y).
x * y != T(y,z) | x = K(y,z).
K(x,y) = K(x * K(y,z),y).
K(x * K(y,z),y) = K(x,y).
(x / (y * x)) * ((1 / y) \ (z * (y \ 1))) = (K(y \ 1,y) * z) * (x / (y * x)).
R(x / y,z,u) \ (y \ x) = (y \ x) / R(x / y,z,u).
(x \ y) / R(y / x,z,u) = R(y / x,z,u) \ (x \ y).
(x \ y) * (R(x \ y,z,u) \ w) = (y / x) * (R(y / x,z,u) \ w).
(x / y) * (R(x / y,z,u) \ w) = (y \ x) * (R(y \ x,z,u) \ w).
(x \ y) / R(y / x,z,u) = R(x \ y,z,u) \ T(x \ y,x).
R(x \ y,z,u) \ T(x \ y,x) = (x \ y) / R(y / x,z,u).
(((x * y) / x) * z) \ (x * y) = (y * z) \ (y * x).
(R(x,y,z) * u) \ (x * u) = (u * R(x,y,z)) \ (u * x).
K(x \ y,x) * (R(x \ y,z,u) \ (x \ y)) = (x \ y) / R(y / x,z,u).
L(K(x * y,y \ 1),y \ 1,y) = y * (x / (x / (y \ 1))).
L(K(x * y,y \ 1),y \ 1,y) != y * z | x / (x / (y \ 1)) = z.
R(T(x,K(y,z) * y),K(y,z),y) = T(K(z,y) * (x * K(y,z)),y).
(T(x,y) * z) \ (x * (K(x,y) * (z * u))) = L(u,K(x,y) * z,x).
R(T(x,K(y,z) * y),K(y,z),y) = T(T(x,K(y,z)),y).
R(T(x,K(y,z) * y),K(y,z),y) = T(T(x,y),K(y,z)).
R(T(x,T(y,z)),K(y,z),y) = T(T(x,y),K(y,z)).
(T(x,y) * z) \ (T(x,y) * (z * u)) = L(u,K(x,y) * z,x).
L(x,y,T(z,u)) = L(x,K(z,u) * y,z).
L(x,K(y,z) * u,y) = L(x,u,T(y,z)).
(1 / x) * (K(x,y) * ((x \ z) * x)) = T((1 / x) * (K(x,y) * z),x).
(x \ y) \ (((x \ y) * z) * u) = (y / x) \ (((y / x) * z) * u).
(x / y) \ (((x / y) * z) * u) = (y \ x) \ (((y \ x) * z) * u).
(x / y) \ (x * z) = (y \ x) \ (((y \ x) * y) * z).
(x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z).
T(x \ 1,x) * R(((x * x) \ x) \ y,z,u) = x \ R(x * y,z,u).
x \ R(x * x,y,z) = R(x * x,y,z) * ((x * x) \ x).
R(x * x,y,z) * ((x * x) \ x) = x \ R(x * x,y,z).
x \ R(x * x,y,z) = (x / (x * x)) * R(x * x,y,z).
(x / (x * x)) * R(x * x,y,z) = x \ R(x * x,y,z).
x \ (y * (T(z,(y \ x) \ 1) \ z)) = T(x \ (y * 1),z).
x \ (y * (T(z,(y \ x) \ 1) \ z)) = T(x \ y,z).
x \ (y * K((y \ x) \ 1,z)) = T(x \ y,z).
x \ ((y \ x) * K(y \ 1,y)) = T(x \ (y \ x),y).
T(x / y,z) \ T((x * u) / (y * u),z) = (y \ x) \ R(y \ x,y,u).
(K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z).
L(K(x,y) * (T(x,z) \ u),K(y,x),T(x,z)) = (K(y,x) * T(x,z)) \ u.
a(x \ y,x,y \ z) = ((y / x) * (x * (y \ z))) \ z.
((x / y) * (y * (x \ z))) \ z = a(y \ x,y,x \ z).
(((x * y) \ y) * x) \ ((x * y) \ y) = 1 / x.
L(x \ 1,x,(x * y) \ y) = 1 / x.
T(1 / x,y) = L(T(x \ 1,y),x,(x * z) \ z).
L(T(x \ 1,y),x,(x * z) \ z) = T(1 / x,y).
L(x \ 1,x,y \ (x \ y)) = 1 / x.
L(x,y,K(z,u) * w) = L(L(x,y,w),w * y,K(z,u)).
L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z).
L(x,y,K(z,u) * w) = L(x,y,w).
L(x,y,T(z,u)) = L(x,y,z).
L(x,y,z * K(u,z)) = L(x,y,z).
L(x,y,z * u) = L(x,y,u * z).
L(x,y,T(z,u) * w) = L(x,y,z * w).
L(x,y,z \ u) = L(x,y,T(z,w) \ u).
L(x,y,T(z,u) \ w) = L(x,y,z \ w).
L(x,y,(z \ u) \ u) = L(x,y,z).
L(x,y,(z \ u) * z) = L(x,y,u).
L(x,y,z / u) = L(x,y,u \ z).
L(x,y,z) = L(x,y,(u * z) / u).
L(x,y,(z * u) / z) = L(x,y,u).
L(x,y,z * (u / z)) = L(x,y,u).
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) * w) = L(x,y,(u / z) * w).
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) = L(x,y,((z \ w) \ w) \ u).
L(x,y,((z \ u) \ u) \ w) = L(x,y,z \ w).
L(x,y,(z * u) * (z \ 1)) = L(x,y,R(u,z,z \ 1)).
L(x,y,R(T(z,u),w,v5) * v6) = L(x,y,R(z,w,v5) * v6).
L(x,y,R(T(z,u),w,v5) \ v6) = L(x,y,R(z,w,v5) \ v6).
L(x,y,(z * u) * R(w,z,u)) = L(x,y,(w * z) * u).
L(x,y,((z / u) * w) * v5) = L(x,y,((u \ z) * w) * v5).
L(x,y,((z / u) \ w) * v5) = L(x,y,((u \ z) \ w) * v5).
L(x,y,L(z,u,w) \ v5) = L(x,y,L(T(z,v6),u,w) \ v5).
L(x,y,L(T(z,u),w,v5) \ v6) = L(x,y,L(z,w,v5) \ v6).
L(x,y,L(T(z,u),w,v5)) = L(x,y,L(z,w,v5)).
L(x \ (T(y,z) \ u),x,y) = (T(y,z) * x) \ u.
L(x,y,L((z \ u) \ u,w,v5)) = L(x,y,L(z,w,v5)).
L(x,y,(z * z) \ z) = L(x,y,z \ 1).
L(x,y,z \ (u * (z * z))) = L(x,y,u * L(z,z,u)).
L(x,y,z \ (u * L(z,w,v5))) = L(x,y,(u / z) * L(z,w,v5)).
L(x,T(y,z),z) = L(x,y,z).
L(T(x,y),T(x,y) \ z,x) = z / (T(z,T(x,y)) / T(x,y)).
L(x,y,L(z,u,z)) = L(x,y,z * K(u,z)).
L(x,y,z * K(u,z)) = L(x,y,L(z,u,z)).
L(x,K(y,z) * u,y) = L(x,u,y).
L(x,y \ (z * y),y) = L(x,z,y).
L(x,y \ z,y) = L(x,z / y,y).
L(x,y / z,z) = L(x,z \ y,z).
(x * y) \ (y * (T(x,y) * z)) = L(z,x,y).
L(x,y,z) = (y * z) \ (z * (T(y,z) * x)).
(x * y) * L(z,x,y) = y * (T(x,y) * z).
L(T(x,y) \ z,x,y) = (x * y) \ (y * z).
L(R(T(x,y) \ z,u,w),x,y) = R((x * y) \ (y * z),u,w).
L(T(x,T(y,z)) \ x,y,z) = (y * z) \ (T(y,x) * z).
L(x,y,z) = L(x,y * K(z,y),z).
L(x,y * K(z,y),z) = L(x,y,z).
L(x \ 1,x,y * z) = ((z * y) * x) \ (z * y).
L(x,y,L(z,u \ 1,u)) = L(x,y,((u \ 1) * z) * u).
L(x,y,((z \ 1) * u) * z) = L(x,y,L(u,z \ 1,z)).
L(x,y,R(z / (u \ w),u,u \ w)) = L(x,y,R(u,u,u \ w) * (z / w)).
((x * y) * (z * z)) / z = (x * y) * L(z,z,y * x).
L(x,y,z * K(u,w)) = L(x,y,z).
L(x \ 1,x,x \ y) = y \ (y / x).
x \ ((x / y) * (y * z)) = L(z,y,y \ x).
x * L(y,z,z \ x) = (x / z) * (z * y).
L(x \ y,x,x \ z) = z \ ((z / x) * y).
L(x,1 / x,(1 / x) \ y) = y \ (y / (1 / x)).
(x / y) * (y * T(z,x)) = L(z,y,y \ x) * x.
(x / y) \ (L(z,y,y \ x) * x) = y * T(z,x).
L(T(x,y) \ z,T(x,y),x \ 1) = x * (T(x,y) \ ((1 / x) * z)).
T((x / y) * (y / x),z) = (x / y) / L((y / x) \ 1,y / x,y \ x).
L(x \ 1,x,y) = (x * y) \ ((x * y) / x).
(x * y) \ ((x * y) / x) = L(x \ 1,x,y).
L(x,y,L(z / u,w,v5)) = L(x,y,L(u \ z,w,v5)).
L(x,y \ z,y) = L(x,T(y,u) \ z,y).
L(x,T(y,z) \ u,y) = L(x,y \ u,y).
L(x,T(y,z) \ u,z) = L(x,y \ u,z).
L((x / y) \ z,y \ x,y) = (y * (x / y)) \ (y * z).
L(x,y,z) = ((z * K(u,w)) * y) \ ((z * K(u,w)) * (y * x)).
((x * K(y,z)) * u) \ ((x * K(y,z)) * (u * w)) = L(w,u,x).
L(x,y,(z \ (u * (z * z))) * w) = L(x,y,(u * L(z,z,u)) * w).
L(x,y,z * (u * w)) = L(x,y,z * (T(u,z) * w)).
L(x,y,z * (T(u,z) * w)) = L(x,y,z * (u * w)).
L(x,y,z * ((u / z) * w)) = L(x,y,z * ((z \ u) * w)).
L(x,y,T(z,u) * w) = L(x,y,w * z).
L(x,y,R(z,u,u \ 1) \ w) = L(x,y,((u * z) * (u \ 1)) \ w).
L(x,y,((z * u) * (z \ 1)) \ w) = L(x,y,R(u,z,z \ 1) \ w).
L(x,y,R(z,u,u \ 1) \ w) = L(x,y,(((1 / u) * z) * u) \ w).
L(x,y,(((1 / z) * u) * z) \ w) = L(x,y,R(u,z,z \ 1) \ w).
L(T(x,y) \ 1,T(x,y),x \ 1) = 1 \ (1 / T(x,y)).
L(x,y,(z \ (K(u,w) * v5)) \ v6) = L(x,y,(K(u,w) * (v5 / z)) \ v6).
L(x,y,(z \ u) * w) = L(x,y,w * (u / z)).
L(x,y,((z \ u) \ u) * w) = L(x,y,w * z).
L(x,y,z * u) = L(x,y,z * T(u,w)).
L(x,y,z * T(u,w)) = L(x,y,z * u).
L(x,y,z * L(T(u,w),v5,v6)) = L(x,y,z * L(u,v5,v6)).
L(x,y,z * R(T(u,w),v5,v6)) = L(x,y,z * R(u,v5,v6)).
L(x,y,z * (u \ w)) = L(x,y,z * (w / u)).
L(x,y,z * (u / w)) = L(x,y,z * (w \ u)).
L(x,y,z * R(u,w,w \ 1)) = L(x,y,z * (((1 / w) * u) * w)).
L(x,y,z * (((1 / u) * w) * u)) = L(x,y,z * R(w,u,u \ 1)).
L(x,y,L(z,u,z)) = L(x,y,z).
L(x \ (L(y,z,y) \ u),x,y) = (L(y,z,y) * x) \ u.
((x * (y * x)) / x) * L(z,y,x) = L(x,y,x) * (y * z).
L(x,y,z) = L(x,y,R(z,u,z)).
L(x,y,R(z,u,z)) = L(x,y,z).
L(T(x,T(y,z)),y,z) = (y * z) \ (z * (x * T(y,z))).
(x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),x,y).
L(K(x,y) * z,y,x) = (y * x) \ (x * (y * z)).
(x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y).
(x * y) * L(L(z,x,y),u,w) = y * (T(x,y) * L(z,u,w)).
L(L(x,y,z) \ u,L(x,y,z),y * z) = (z * (T(y,z) * x)) \ ((y * z) * u).
x * (T(y,x) * T(z,y * x)) = L(z,y,x) * (y * x).
x * (T(y,x) * L(z,x,y)) = y * (x * L(z,y,x)).
x * (T(y,x) * ((y * x) \ z)) = y * (x * L(x \ (y \ z),y,x)).
x * (y * L(y \ (x \ z),x,y)) = y * (T(x,y) * ((x * y) \ z)).
(x * (T(y,x) * z)) / z = ((y * x) / z) * L(z,y,x).
((x * y) / z) * L(z,x,y) = (y * (T(x,y) * z)) / z.
((x / y) * (y * x)) / x = L(x,y,y \ x).
x * L(R(y,z,u) \ y,1 / y,(1 / y) \ x) = (x / (1 / y)) * R(1 / y,z,u).
R(x,y,z) * L(u,x,x \ R(x,y,z)) = (x * u) * (x \ R(x,y,z)).
L(L(x \ 1,x,y),x * y,(x * y) \ ((x * y) / x)) = T(((x * y) / x) / (x * y),(x * y) / x).
L(x,y,((T(z,u) * w) / v5) * v6) = L(x,y,(((z * w) / v5) * K(z,u)) * v6).
L(x,y,(((z * u) / w) * K(z,v5)) * v6) = L(x,y,((T(z,v5) * u) / w) * v6).
L(x,y,((T(z,u) \ w) / v5) * v6) = L(x,y,(((z \ w) / v5) * K(u,z)) * v6).
L(x,y,(((z \ u) / w) * K(v5,z)) * v6) = L(x,y,((T(z,v5) \ u) / w) * v6).
L(x,y,(z * u) * w) = L(x,y,w * (u * z)).
L(x,y,(z * u) / w) = L(x,y,w \ (u * z)).
L(x,y,z * R(z \ u,z,w)) = L(x,y,((z * w) \ (u * w)) * z).
L(x,y,((z * u) \ (w * u)) * z) = L(x,y,z * R(z \ w,z,u)).
L(x,y,(z / u) * w) = L(x,y,w * (u \ z)).
L(x,y,R(1 / z,z,u) \ w) = L(x,y,((z * u) \ u) \ w).
L(x,y / x,(x \ y) \ 1) = (1 / (y / x)) * y.
L(x,y,(z * u) * L(R(w,u,z),v5,v6)) = L(x,y,(L(w,v5,v6) * u) * z).
L(x,y,(z * u) * R(R(w,u,z),v5,v6)) = L(x,y,(R(w,v5,v6) * u) * z).
L(x,y,z * (u * w)) = L(x,y,z * (w * u)).
L(x,y,R(z,u,w)) = L(x,y,(u * w) \ (w * (z * u))).
L(x,y,(z * u) \ (u * (w * z))) = L(x,y,R(w,z,u)).
L(x,y,z \ (u * w)) = L(x,y,z \ (w * u)).
L(x,y,z * u) = L(x,y,u * ((z \ w) \ w)).
L(x,y,z * ((u \ w) \ w)) = L(x,y,u * z).
L(x,y,L(z,u,u \ 1)) = L(x,y,(u * z) * (u \ 1)).
L(x,y,(z * u) * (z \ 1)) = L(x,y,L(u,z,z \ 1)).
L(x,y,z * u) = L(x,y,z * ((w \ u) * w)).
L(x,y,z * ((u \ w) * u)) = L(x,y,z * w).
L(x,y,z * (R(u,w,v5) \ u)) = L(x,y,z * (R(u \ 1,w,v5) * u)).
L(x,y,z * (R(u \ 1,w,v5) * u)) = L(x,y,z * (R(u,w,v5) \ u)).
L(x,y,z * L(u,w,w \ 1)) = L(x,y,z * ((w * u) * (1 / w))).
L(x,y,z * ((u * w) * (1 / u))) = L(x,y,z * L(w,u,u \ 1)).
L(x,y,z \ u) = L(x,y,z \ ((w \ u) * w)).
L(x,y,z \ ((u \ w) * u)) = L(x,y,z \ w).
L(x,y,L(z,u,w)) = L(x,y,(w * u) \ ((u * z) * w)).
L(x,y,(z * u) \ ((u * w) * z)) = L(x,y,L(w,u,z)).
L(x,y,L(z \ u,z,w)) = L(x,y,(w * z) \ (u * w)).
L(x,y,L(T(z,u),u,w)) = L(x,y,(w * u) \ ((z * u) * w)).
L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,L(T(w,u),u,z)).
a(x / y,y,T(z,x)) = (L(z,y,y \ x) * x) \ (((x / y) * y) * T(z,x)).
(L(x,y,y \ z) * z) \ (((z / y) * y) * T(x,z)) = a(z / y,y,T(x,z)).
L(K(T(x,y),z),x,y) = (x * y) \ (T(x,z) * y).
(x * y) \ (T(x,z) * y) = L(K(T(x,y),z),x,y).
L(K(T(x,y),z),x,y) = T(K(x,z),x * y).
L(K(x,y),x * K(z,x),z) = T(K(x * K(z,x),y),(x * K(z,x)) * z).
T(K(x * K(y,x),z),(x * K(y,x)) * y) = L(K(x,z),x * K(y,x),y).
L(x,y,((1 / z) * u) * z) = L(x,y,L(u,1 / z,(1 / z) \ 1)).
L(x,y,L(z,1 / u,(1 / u) \ 1)) = L(x,y,((1 / u) * z) * u).
T((x * y) * (x \ 1),x * ((x * y) * (x \ 1))) = L(R(y,x,x \ 1),x,L(y,x,x \ 1)).
L(x,y,L(z,u,u \ 1)) = L(x,y,(u \ 1) * (z * u)).
L(x,y,(z \ 1) * (u * z)) = L(x,y,L(u,z,z \ 1)).
L(x,y,L(z,u,u \ 1)) = L(x,y,R(z,u,u \ 1)).
L(x,y,R(z \ u,w,v5) * v6) = L(x,y,R(u / z,w,v5) * v6).
L(x,y,R(z / u,w,v5) * v6) = L(x,y,R(u \ z,w,v5) * v6).
L(x,y,((z \ u) * w) * v5) = L(x,y,v5 * ((u / z) * w)).
L(x,y,z * R(u \ w,v5,v6)) = L(x,y,z * R(w / u,v5,v6)).
L(x,y,z * R(u / w,v5,v6)) = L(x,y,z * R(w \ u,v5,v6)).
L(x,y,((z \ 1) * (z * u)) * w) = L(x,y,w * L(u,z,z \ 1)).
L(x,y,z * ((u / w) * v5)) = L(x,y,z * ((w \ u) * v5)).
x / (T(x,T(y,z)) / T(y,z)) = L(T(y,z),y \ x,y).
L(T(x,y),x \ z,x) = z / (T(z,T(x,y)) / T(x,y)).
L(T(x,x \ 1),x \ y,x) = y / (T(y,x) / T(x,x \ 1)).
L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,L(w,u,z)).
L(x,y,z \ (u * L(z,w,v5))) = L(x,y,(z \ u) * L(z,w,v5)).
x * (T(x,y) \ ((1 / x) * 1)) = 1 \ (1 / T(x,y)).
x * (T(x,y) \ (1 / x)) = 1 \ (1 / T(x,y)).
1 \ (1 / T(x,y)) = (T(x,y) \ x) / x.
(T(x,y) \ x) / x = 1 / T(x,y).
K(x,y) / y = 1 / T(y,x).
(K(x,y) / y) \ 1 = T(y,x).
T(x,y) = (K(y,x) / x) \ 1.
L(T(x,y),1 / T(x,y),z) = (z * (K(y,x) / x)) \ z.
L(1 / T(x,y),z,u) * x = x * L(x \ K(y,x),z,u).
K(x,y * K(x,y)) / (y * K(x,y)) = 1 / y.
T(T(x,y) \ 1,x) = ((x \ K(y,x)) \ 1) \ 1.
((x \ K(y,x)) \ 1) \ 1 = T(T(x,y) \ 1,x).
K(x,y) / (y * K(x,y)) = 1 / y.
R(x,x \ 1,K(y,x \ 1)) = 1 / (x \ 1).
K(x,y) / ((x * y) / x) = 1 / y.
R(x,x \ 1,K(y,x \ 1)) = x.
x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1).
(x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1).
x * (x \ K(y,x \ 1)) = L(K(y,x \ 1),x \ 1,x).
L(K(x,y \ 1),y \ 1,y) = y * (y \ K(x,y \ 1)).
T(x \ K(y,x \ 1),y) = x \ 1.
x * (y \ 1) = (y \ K(x,y \ 1)) * x.
(x \ K(y,x \ 1)) * y = y * (x \ 1).
(x \ 1) \ y = (x \ K(y,x \ 1)) \ T(y,x \ K(y,x \ 1)).
(x \ K(y,x \ 1)) \ T(y,x \ K(y,x \ 1)) = (x \ 1) \ y.
T(T(x / (y \ 1),z),y \ K(x,y \ 1)) = T((y \ K(x,y \ 1)) \ T(x,y \ K(x,y \ 1)),z).
T((x \ K(y,x \ 1)) \ T(y,x \ K(y,x \ 1)),z) = T(T(y / (x \ 1),z),x \ K(y,x \ 1)).
((x \ 1) \ K(y,x)) * y = y * ((x \ 1) \ 1).
x / (x / (y \ 1)) = y \ K(x * y,y \ 1).
x \ K(y * x,x \ 1) = y / (y / (x \ 1)).
L(x,y,(z \ (u * (z * z))) * w) = L(x,y,w * (L(z,z,u) * u)).
L(x,y,(z \ (K(u,w) * v5)) \ v6) = L(x,y,(v5 / z) \ (K(w,u) * v6)).
(x * y) * (x \ R(x,z,u)) != R(x,z,u) * w | L(y,x,x \ R(x,z,u)) = w.
R(x,y,z) * u != (x * w) * (x \ R(x,y,z)) | L(w,x,x \ R(x,y,z)) = u.
(K(x,y) * T(y,z)) \ u = L(K(y,x) * (T(y,z) \ u),K(x,y),y).
L(K(x,y) * (T(x,z) \ u),K(y,x),x) = (K(y,x) * T(x,z)) \ u.
(K(x,y) * T(y,z)) \ u = K(y,x) * (T(y,z) \ u).
(T(x,y) * K(z,x)) \ u = K(x,z) * (T(x,y) \ u).
K(x,y) * (T(x,z) \ (x * K(T(x,y),z))) = K(T(x,z) * K(y,x),y).
K(x,y) * (K(z,x) * K(T(x,y),z)) = K(T(x,z) * K(y,x),y).
K(x,y) * (K(z,x) * K(T(x,y),z)) = K(T(x,z),y).
T((x / y) * (y / x),z) = (x / y) / (1 / (y / x)).
T((x / y) * (y / x),z) = (1 / (y / x)) \ (x / y).
(1 / (x / y)) \ (y / x) = (y / x) * (x / y).
T(K(x * K(y,x),z),(x * K(y,x)) * y) = L(K(x,z),x,y).
T(K(x * K(y,x),z),x * (K(y,x) * y)) = L(K(x,z),x,y).
T(K(x * K(y,x),z),x * T(y,x)) = L(K(x,z),x,y).
T(K(x * K(y,x),z),y * x) = L(K(x,z),x,y).
K(T((x / y) / (1 / y),y),z) = K(T((x / y) * y,x / (y \ 1)),z).
K(T((x / y) * y,x / (y \ 1)),z) = K(T((x / y) / (1 / y),y),z).
K(T(x,x / (y \ 1)),z) = K(T((x / y) / (1 / y),y),z).
K(T((x / y) / (1 / y),y),z) = K(T(x,x / (y \ 1)),z).
K(T((x / y) / (1 / y),y),z) = K(T(x,(y \ 1) \ x),z).
K(x \ (y / (x \ 1)),z) = K(T(y,(x \ 1) \ y),z).
K(T(x,(y \ 1) \ x),z) = K(y \ (x / (y \ 1)),z).
K(x \ (y / (x \ 1)),z) = K(T(y,x),z).
R(1 / x,y,x) = T(x \ 1,y) * K(y * x,T(x \ 1,y)).
T(x \ 1,y) * K(y * x,T(x \ 1,y)) = R(1 / x,y,x).
R(1 / x,y,x) = T((x \ 1) * K(y * x,x \ 1),y).
T((x \ 1) * K(y * x,x \ 1),y) = R(1 / x,y,x).
T(x \ K(y * x,x \ 1),y) = R(1 / x,y,x).
T(x / (x / (y \ 1)),x) = R(1 / y,x,y).
T(x / (x / T(y,y \ 1)),x) = R(1 / (y \ 1),x,y \ 1).
R(1 / x,y,x) = L(x \ 1,(x \ 1) \ y,x \ 1).
L(x \ 1,(x \ 1) \ y,x \ 1) = R(1 / x,y,x).
R(1 / (x \ 1),y,x \ 1) \ y = y / T(T(x,x \ 1),y).
T(T(x / (x / y),y \ 1),x) = R(1 / (y \ 1),x,y \ 1).
R(x,y,x \ 1) \ y = y / T(T(x,x \ 1),y).
x / T(T(y,y \ 1),x) = R(y,x,y \ 1) \ x.
T(T(x / (x / y),y \ 1),x) = R(y,x,y \ 1).
R(x,y,x \ 1) = y / (T(y,x) / T(x,x \ 1)).
x / (T(x,y) / T(y,y \ 1)) = R(y,x,y \ 1).
L(T(x,x \ 1),x \ y,x) = R(x,y,x \ 1).
L((x \ 1) \ 1,x \ y,x) = R(x,y,x \ 1).
(x * R(x \ y,z,u)) * T(w,y) = w * (x * R(x \ y,z,u)).
T(x,y * R(y \ z,u,w)) = T(x,z).
T(x,y * R(z,u,w)) = T(x,y * z).
T(x,y) = T(x,(y / R(z,u,w)) * z).
T(x,(y / R(z,u,w)) * z) = T(x,y).
T(x,y * (z / (u * w))) = T(x,y * ((z / w) / u)).
T(x,y * ((z / u) / w)) = T(x,y * (z / (w * u))).
T(x,y * (z * (u \ 1))) = T(x,y * (z / u)).
T(x,y * T(z,u)) = T(x,y * T(z,z * u)).
T(x,y * T(z,z * u)) = T(x,y * T(z,u)).
T(x,T(y * z,y)) = T(x,z * y).
T(x,y * R(x,z,u)) = T(x,x * y).
T(x,y * T(z,z \ u)) = T(x,y * T(z,u)).
T(x,T(y * z,z)) = T(x,T(y,z) * z).
K(x * R(y,z,u),w) = T(w,x * y) \ w.
T(x,y * R(z,u,w)) = x * K(x,y * z).
T(x,T(y,z)) = T(x,(z \ y) * z).
T(x,(y \ z) * y) = T(x,T(z,y)).
T(x * y,y * x) = x * y.
T(x,(y \ 1) * z) = T(x,y \ z).
T(x,y * z) = T(x,(1 / y) \ z).
T(x,(1 / y) \ z) = T(x,y * z).
T((x \ y) * x,y) = (x \ y) * x.
T(x,(y \ x) * y) = x.
T(T((x \ y) * x,z \ 1) / (z * ((x \ y) * x)),T(y,x)) = ((x \ y) * x) / (z * ((x \ y) * x)).
((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y).
T(T(x \ 1,y),x \ (x \ 1)) = L(T(x \ 1,y),x \ 1,x \ 1).
L(T(x \ 1,y),x \ 1,x \ 1) = T(T(x \ 1,y),x \ (x \ 1)).
R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y.
T(x,y \ (z \ 1)) = T(x,(y \ 1) / z).
T(x,(y \ 1) / z) = T(x,y \ (z \ 1)).
T(x,y \ (z \ (z / (y \ 1)))) = x.
K((x \ 1) * y,z) = T(z,x \ y) \ z.
K(x,(y \ 1) * z) = x \ T(x,y \ z).
T(x,y * R(1 / y,z,u)) = x.
T(x,(K(y,z) / u) \ w) = T(x,u * (K(z,y) * w)).
x / (y * R(1 / y,z,u)) = (y * R(1 / y,z,u)) \ x.
(x \ (y \ (y / (x \ 1)))) * x = y \ (y / (x \ 1)).
T(x,y * (R(y,z,u) \ w)) = T(x,w).
((x / y) * R(y,z,u)) \ (R(y,z,u) * x) = T(y,y * (x / y)).
T(x,y * z) = T(x,R(y,u,w) * z).
T(x,R(y,z,u) * w) = T(x,y * w).
x * T(y,z * (R(z,u,w) \ x)) = y * x.
T(x,y * (z * u)) = T(x,(y * z) * u).
T(x,(y * z) * u) = T(x,y * (z * u)).
T(x,y * ((y \ z) * u)) = T(x,z * u).
T(x,y * (T(z,y) * u)) = T(x,(z * y) * u).
T(x,y / z) = T(x,y / R(z,u,w)).
T(x,y / R(z,u,w)) = T(x,y / z).
T(x,y * (R(y,z,u) \ w)) = x * K(x,w).
T(x,(y / (z * y)) * u) = T(x,(1 / z) * u).
T(x,(y / (z * u)) * w) = T(x,((y / u) / z) * w).
T(x,((y / z) / u) * w) = T(x,(y / (u * z)) * w).
T(x,(y * z) * (z \ u)) = T(x,y * u).
T(x,T(y,y \ 1) * z) = T(x,y * z).
T(x,(y \ z) * u) = T(x,T(z / y,z) * u).
T(x,T(y / z,y) * u) = T(x,(z \ y) * u).
T(x,y * z) = T(x,L(y,u,y) * z).
T(x,L(y,z,y) * u) = T(x,y * u).
T(x,y * (y \ (z \ y))) = T(x,z \ R(y,u,w)).
T(x,y \ R(z,u,w)) = T(x,z * (z \ (y \ z))).
T(x,y / T(z,u)) = T(x,y / T(z,z * u)).
T(x,y / T(z,z * u)) = T(x,y / T(z,u)).
T(x,y \ z) = T(x,T(z,y) / y).
T(x,T(y,z) / z) = T(x,z \ y).
T(x,y / (z / u)) = T(x,y * (u * (z \ 1))).
T(x,y * (z * (u \ 1))) = T(x,y / (u / z)).
K(x,y / R(z,u,w)) = x \ T(x,y / z).
T(x,T(T(y,z),u) / z) = T(x,z \ T(y,u)).
T(x,T(y,z) / R(z,u,w)) = T(x,R(z,u,w) \ y).
T(x,y / T(z,y)) = T(x,z \ y).
T(x,y \ (z * u)) = T(x,z / (T(y,z * u) / u)).
T(x,y / (T(z,y * u) / u)) = T(x,z \ (y * u)).
K(x \ y,z) = K((x \ 1) * y,z).
K((x \ 1) * y,z) = K(x \ y,z).
K(x,y) = K(z \ ((z \ 1) \ x),y).
K(x \ ((x \ 1) \ y),z) = K(y,z).
K(x * y,z) = K((1 / x) \ y,z).
K((1 / x) \ y,z) = K(x * y,z).
K(x \ (y \ 1),z) = K((x \ 1) / y,z).
K((x \ 1) / y,z) = K(x \ (y \ 1),z).
((x \ 1) \ y) * K(y,x) = (x \ ((x \ 1) \ y)) * x.
K(x,y) = K(z * ((1 / z) * x),y).
K(x * ((1 / x) * y),z) = K(y,z).
K(R(x,x \ (1 / y),y) \ z,u) = K(((x \ (1 / y)) * y) * z,u).
K((K(x,y) / z) \ u,w) = K(z * (K(y,x) * u),w).
K(x * y,x \ 1) = K(y * x,x \ 1).
K(x * y,y \ 1) = K(y * x,y \ 1).
K(x,y \ z) = K(x,(y \ 1) * z).
K(x,(y \ 1) * z) = K(x,y \ z).
T(x,y * z) = T(x,u * ((y \ u) \ z)).
T(x,y * ((z \ y) \ u)) = T(x,z * u).
T(x,y * (z \ u)) = T(x,(y / z) * u).
T(x,(y / z) * u) = T(x,y * (z \ u)).
T(x,y * (R(y,z,u) \ w)) = T(x,(R(y,z,u) \ y) * w).
T(x,(R(y,z,u) \ y) * w) = T(x,y * (R(y,z,u) \ w)).
K(x * y,y \ 1) / y = ((y * x) * (1 / y)) / (y * x).
((x * y) * (1 / x)) / (x * y) = K(y * x,x \ 1) / x.
T(x,(y \ 1) \ z) = T(x,y * z).
T(x,T(y,z \ 1)) = T(x,z * (y * (z \ 1))).
T(x,y * (z * (y \ 1))) = T(x,T(z,y \ 1)).
T(x,y \ z) = T(x,(1 / y) * z).
T(x,(1 / y) * z) = T(x,y \ z).
T(x \ 1,x * y) = ((x \ 1) \ y) \ y.
x / T(y \ 1,y * x) = (y \ 1) \ x.
T(x \ 1,x * y) \ y = T((x \ 1) \ y,x \ 1).
T((x \ 1) \ y,x \ 1) = T(x \ 1,x * y) \ y.
T(x,T(y \ 1,z) \ u) = T(x,y * (K(z,y \ 1) * u)).
T(x,y * (K(z,y \ 1) * u)) = T(x,T(y \ 1,z) \ u).
T(x,y \ x) = T(x,x * (1 / y)).
T(x,x * (1 / y)) = T(x,y \ x).
(1 / x) * T(y,x \ y) = L(y,1 / x,y) * (1 / x).
L(x,1 / y,x) * (1 / y) = (1 / y) * T(x,y \ x).
K(T(((1 / x) * y) / z,x \ y),u) = K(z \ ((1 / x) * y),u).
T(x,y * (x \ z)) = T(x,(x \ y) * z).
T(x,(x \ y) * z) = T(x,y * (x \ z)).
T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ y.
(x \ y) / T(x \ 1,y) = (x \ 1) \ (x \ y).
x / T((y / x) \ 1,y) = ((y / x) \ 1) \ x.
x / T(L(y,z,y) \ 1,y * x) = (L(y,z,y) \ 1) \ x.
K(x * y,z) = K(x * R(y,u,w),z).
K(x * R(y,z,u),w) = K(x * y,w).
K(x,y) = K((x / R(z,u,w)) * z,y).
K((x / R(y,z,u)) * y,w) = K(x,w).
K(T(x * y,x),z) = K(y * x,z).
K(x * ((y \ z) \ z),u) = K(x * T(y,z),u).
K((x \ 1) * y,z) = K(x \ R(y,u,w),z).
K(x \ R(y,z,u),w) = K((x \ 1) * y,w).
K(T(x,y),z) = K((y \ x) * y,z).
K((x \ y) * x,z) = K(T(y,x),z).
K(T(T(x,y) * (y / x),T(x,y)),z) = K((x * y) / x,z).
K(x * y,T(y,z)) = K(y * x,T(y,z)).
K(x * (R(x,y,z) \ u),w) = K(u,w).
K(x * y,z) = K(R(x,u,w) * y,z).
K(R(x,y,z) * u,w) = K(x * u,w).
K(x * (y * z),u) = K((x * y) * z,u).
K((x * y) * z,u) = K(x * (y * z),u).
K(x * ((x \ y) * z),u) = K(y * z,u).
K(x / R(y \ x,z,u),w) = K(y,w).
K((x \ 1) * y,z) = K((1 / x) * y,z).
K((1 / x) * y,z) = K((x \ 1) * y,z).
K(T(x,y) * z,u) = K(T(x,x * y) * z,u).
K(T(x,x * y) * z,u) = K(T(x,y) * z,u).
K(x / R(y,z,u),w) = K(x / y,w).
K(x / (y / (z * u)),w) = K(x / ((y / u) / z),w).
K(x / ((y / z) / u),w) = K(x / (y / (u * z)),w).
K(x / (y * (z \ 1)),u) = K(x / (y / z),u).
K(L(x,y,x) / z,u) = K(x / z,u).
K(T(x / y,x) / z,u) = K((y \ x) / z,u).
K(x / y,z) = K(R(x,u,x) / y,z).
K(R(x,y,x) / z,u) = K(x / z,u).
K(((x \ 1) \ 1) / y,z) = K(x / y,z).
K(x * (y * z),z) = K(z * (x * y),z).
K((1 / x) * y,z) = K(x \ y,z).
K(x * y,z) = K((x \ 1) \ y,z).
K((x \ 1) \ y,z) = K(x * y,z).
K((x / (y * x)) * z,u) = K(R(y,y,x) \ z,u).
K(R(x,x,y) \ z,u) = K((y / (x * y)) * z,u).
K(K(x,y) * z,u) = K(w \ ((K(y,x) / w) \ z),u).
K(x \ ((K(y,z) / x) \ u),w) = K(K(z,y) * u,w).
T((x \ 1) \ y,z) = ((x \ 1) \ y) * K(x * y,z).
((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z).
K(T(x \ 1,y) \ z,u) = K(x * (K(y,x \ 1) * z),u).
K(x * (K(y,x \ 1) * z),u) = K(T(x \ 1,y) \ z,u).
K(R(x \ 1,x,y) / z,u) = K((y / (x * y)) / z,u).
K(x * y,z) = K(z * (x * (y / z)),z).
K(x * (y * (z / x)),x) = K(y * z,x).
K((x * y) * z,x) = K(y * (z * x),x).
K(x,y * R(z,u,w)) = K(x,y * z).
K(x,T(y * z,y)) = K(x,z * y).
K(x,T(y,z)) = K(x,(z \ y) * z).
K(x,(y \ z) * y) = K(x,T(z,y)).
K(x,(1 / y) * (y * z)) = K(x,z * K(y,y \ 1)).
K(x,y * (R(y,z,u) \ w)) = K(x,w).
K(x,y / z) = K(x,y / R(z,u,w)).
K(x,y / R(z,u,w)) = K(x,y / z).
K(x,y / (z / (u * w))) = K(x,y / ((z / w) / u)).
K(x,y / ((z / u) / w)) = K(x,y / (z / (w * u))).
K(x,y / z) = K(x,y / L(z,u,z)).
K(x,y / L(z,u,z)) = K(x,y / z).
K(x,y * (z / y)) = K(x,(y * z) / y).
K(x,(y * z) / y) = K(x,y * (z / y)).
K(x,y * K(z,y)) = K(x,z * (y / z)).
K(x,T((y / z) * z,y / z)) = K(x,y * K(z,y)).
K(x \ R(y,z,u),w) = K(x \ y,w).
K((x / y) \ R(x,z,u),w) = K(y,w).
K(x \ (y \ 1),z) = K(x \ (1 / y),z).
K(x \ (1 / y),z) = K(x \ (y \ 1),z).
K(x \ 1,y) = K((z * x) \ z,y).
K((x * y) \ x,z) = K(y \ 1,z).
K(x \ ((y / z) \ 1),u) = K(x \ (z / y),u).
K(x \ y,z) = K(x \ L(y,u,y),z).
K(x \ L(y,z,y),u) = K(x \ y,u).
K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u).
R(x * K(y \ x,y),z,u) = (y \ R(x,z,u)) * y.
K(x \ y,z) = K((y \ x) \ 1,z).
K((x \ y) \ 1,z) = K(y \ x,z).
K(x \ (x / y),z) = K(y \ 1,z).
K((x * (y * z)) \ (x * y),u) = K(L(z,y,x) \ 1,u).
T((x * y) \ x,z) = K(y \ 1,z) * ((x * y) \ x).
K(x \ 1,y) * ((z * x) \ z) = T((z * x) \ z,y).
K(((x \ y) * z) \ 1,u) = K((y * z) \ R(x,x \ y,z),u).
K((x * y) \ R(z,z \ x,y),u) = K(((z \ x) * y) \ 1,u).
K((x * (y \ z)) \ 1,u) = K(z \ R(y / x,x,y \ z),u).
K(x \ R(y / z,z,y \ x),u) = K((z * (y \ x)) \ 1,u).
K(L(L(x \ 1,y * x,z),x,y) \ 1,u) = K((z * y) \ (z * (y * x)),u).
(x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)).
K((x * (y \ z)) \ z,u) = K(T(x / y,z) \ 1,u).
K(T(x / y,z) \ 1,u) = K((x * (y \ z)) \ z,u).
(x \ y) \ K(y \ x,z) = T((x \ y) \ 1,z).
K(x \ (y \ x),y) = K(y \ 1,y).
x \ (y * K(x \ y,z)) = T(x \ y,z).
T(x,x * (y \ (x \ y))) * K(x \ 1,x) = L(x,y \ (x \ y),x).
K((x \ 1) / y,z) = K(x \ (1 / y),z).
x * T(x \ y,z) = y * K(x \ y,z).
K(x / y,z) * x = x * K(y \ x,z).
x * T(x \ (x / y),z) = (x / y) * K(y \ 1,z).
(x / y) * K(y \ 1,z) = x * T(x \ (x / y),z).
T(K(x / y,z),x) = K(y \ x,z).
T(K(x,y),z) = K((x \ z) \ z,y).
K((x \ y) \ y,z) = T(K(x,z),y).
K(T(x,x \ y),z) = T(K(x,z),y).
K(T(x,y / x),z) = T(K(x,z),y).
T(K(x,y),z) = K(T(x,z),y).
K(T(x,y),z) = T(K(x,z),y).
x * K(T(y,x),z) = K(y,z) * x.
T(K(x,y),z * x) = K(T(x,z),y).
K(x,y) = T(K(x,y),K(x,z)).
T(K(x,y),K(x,z)) = K(x,y).
T(K(x,y),z) \ u = K(y,T(x,z)) * u.
K(x,y) * K(T(y,z),x) = K(K(y,x),z).
K(T(x,K(y,z)),y) = K(x,y).
K(T(x,K(y,z)),u) \ 1 = T(K(u,x),K(y,z)).
K(T(x * K(y,x),y * x),z) = L(K(x,z),x,y).
T(T(x,K(y,z)),y) = T(x,K(y,z)) * K(x,y).
T(x,K(y,z)) * K(x,y) = T(T(x,K(y,z)),y).
x * K(x \ y,z) = K(y / x,z) * x.
K(x / y,z) * y = y * K(y \ x,z).
T(x,y) * K(x \ y,z) = K(y / x,z) * T(x,y).
K(x / y,z) * T(y,x) = T(y,x) * K(y \ x,z).
x * K(x \ (y \ x),z) = K(y \ 1,z) * x.
x * K(y * x,z) = K(x * y,z) * x.
K(x * y,z) * x = x * K(y * x,z).
K(x,T(y,z)) * K(y,x) = K(z,K(y,x)).
K(K(x,y),z) = K(T(x,z),y) * K(y,x).
K(T(x,y),z) * K(z,x) = K(K(x,z),y).
K(x * (y / x),z) * x = x * K(y,z).
T(x * y,z) / y = x * K(y * x,z).
x * K(y,K(z,x)) = T(x,T(z,y)) * K(z,x).
T(x,T(y,z)) * K(y,x) = x * K(z,K(y,x)).
K(x,K(y,z)) = K(y,z) * K(z,T(y,x)).
K(x,y) * K(y,T(x,z)) = K(z,K(x,y)).
T(x,y * K(z,x)) = T(x,y).
K(x * K(y,z),z) = K(x,z).
T(x,y \ 1) = T(x,y \ K(z,x)).
T(x,y \ K(z,x)) = T(x,y \ 1).
K(x * y,z) = K(x * (y * K(u,z)),z).
K(x * (y * K(z,u)),u) = K(x * y,u).
T(x * K(y * x,z),y) = y \ T(x * y,z).
K(x,y) * K(z,K(y,x)) = K(x,T(y,z)).
K(x * T(y,z),z) = K(x * y,z).
K(x * (y \ z),y) = K(x * (z / y),y).
K(x * (y / z),z) = K(x * (z \ y),z).
K(x * L(T(y,z),u,w),z) = K(x * L(y,u,w),z).
T(x,y * T(z,u * w)) = T(x,y * T(z,(z \ u) * w)).
T(x,y * T(z,(z \ u) * w)) = T(x,y * T(z,u * w)).
T(x,y * (T(z,y) * u)) = T(x,z * (y * u)).
T(x,(1 / y) * z) = T(x,u * ((y * u) \ z)).
T(x,y * ((z * y) \ u)) = T(x,(1 / z) * u).
T(x,y / (z / u)) = T(x,y * (u / z)).
T(x,y / z) = T(x,y * (1 / z)).
T(x,y * (1 / z)) = T(x,y / z).
T(x,(y * z) / u) = T(x,y * (z / u)).
T(x,y * z) = T(x,y / (z \ 1)).
T(x,y / (z \ 1)) = T(x,y * z).
T(x,y * (1 / x)) = T(x,x \ y).
T(x,y) = T(x,(y * (z \ 1)) * z).
T(x,(y * (z \ 1)) * z) = T(x,y).
T(x,T(y / ((z / u) / (1 / u)),z * u)) = T(x,(z / (u \ 1)) \ (y * u)).
x / T(y \ 1,x * y) = (y \ 1) \ x.
K(x / (y \ 1),z) = T(z,x * y) \ z.
T(x,x \ y) \ (T(y * (1 / x),x) \ z) = x \ ((y * (1 / x)) \ z).
T(x * (y * (x \ 1)),y) = x * (y * (x \ 1)).
T(x,y * (z / (u \ 1))) = T(x,(y * z) * u).
x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x.
K(x * y,z) = K(x / (y \ 1),z).
K(x / (y \ 1),z) = K(x * y,z).
K(x / y,z) = K(x * (1 / y),z).
K(x * (1 / y),z) = K(x / y,z).
K(x / (y * (z \ 1)),u) = K(x * R(z / y,y,z \ 1),u).
K(x * R(y / z,z,y \ 1),u) = K(x / (z * (y \ 1)),u).
K(x / R(y \ 1,z,u),w) = K(x * R(y,z,u),w).
K((x / y) * z,u) = K(x / ((z \ 1) * y),u).
K(x / ((y \ 1) * z),u) = K((x / z) * y,u).
K(x * (1 / y),y) = K(y \ x,y).
T(x,T(T(y,z),u \ 1) / z) = T(x,z \ T(y,1 / u)).
(x \ y) \ 1 = T((x \ y) \ 1,y \ x).
T((x \ y) \ 1,y \ x) = (x \ y) \ 1.
T((x \ (x / y)) \ 1,y) = (x \ (x / y)) \ 1.
T(K(x,y),K(z,u)) = K(x,T(y,K(z,u))).
K(x,T(y,K(z,u))) = T(K(x,y),K(z,u)).
K(T(x,K(y,z)),u) = K(x,T(u,K(y,z))).
K(x,T(y,K(x,z))) = K(x,y).
T(x,T(y,K(x,z))) = x * K(x,y).
T(x,y) = T(x,T(y,K(x,z))).
T(x,T(y,K(x,z))) = T(x,y).
T(x,y) = T(x,y * K(x,z)).
T(x,y * K(x,z)) = T(x,y).
T(x,y \ 1) = T(x,y \ K(x,z)).
T(x,y \ K(x,z)) = T(x,y \ 1).
T(x,y * z) = T(x,y * (z * K(x,u))).
T(x,y * (z * K(x,u))) = T(x,y * z).
K(x * K(y,z),u) = K(K(y,z) * x,T(u,K(y,z))).
K(K(x,y) * z,T(u,K(x,y))) = K(z * K(x,y),u).
T(x,y * z) = T(x,y * T(z,x)).
T(x,y * T(z,x)) = T(x,y * z).
K(x,K(y,z)) * T(x,y) = T(T(x,K(y,z)),y).
T(x * K(x * y,y),y) = y \ T(x * y,y).
T(x,y * ((z * y) \ u)) = T(x,z \ u).
T(x,(y \ z) * (z \ u)) = T(x,y \ u).
T(x,y * (z \ u)) = T(x,(z / y) \ u).
T(x,(y / z) \ u) = T(x,z * (y \ u)).
T(x,(y \ z) * u) = T(x,y \ (z * u)).
T(x,y \ (z * u)) = T(x,(y \ z) * u).
T(x / y,y * (x \ z)) = ((x / y) \ z) \ z.
T(x,(y / z) * u) = T(x,(z / y) \ u).
T(x,(y / z) \ u) = T(x,(z / y) * u).
T(x,(y \ z) * R(u,w,v5)) = T(x,y \ (z * u)).
T(x,x \ (y * z)) = T(x,y * (x \ z)).
(x * y) / T(z,x * (z \ y)) = z \ (x * y).
T(x,y * (z / (u \ 1))) = T(x,y * (z * u)).
T(x / (((x \ y) \ 1) \ x),z) \ x = x / T(T((x \ y) \ 1,y),z).
T(((x \ (x / y)) \ 1) * K(y,z),y) = ((x \ (x / y)) \ 1) * K(y,z).
K(x,K(y,z)) * T(x,y) = T(T(x,y),K(y,z)).
T(x / ((x \ y) \ 1),K((x \ y) \ 1,x \ y)) = ((x / ((x \ y) \ 1)) \ y) \ y.
(x * y) / T(z * x,z \ y) = (z * x) \ (x * y).
((x \ y) * z) / T(y,x \ z) = y \ ((x \ y) * z).
T(x,y * (z / u)) = T(x,y * (z * (1 / u))).
T(x,y * (z * (1 / u))) = T(x,y * (z / u)).
K(x,K(y,z)) = K(T(x,y),K(y,z)).
K(T(x,y),K(y,z)) = K(x,K(y,z)).
K(x,K(y,z)) * T((x \ 1) \ 1,y) = T(T((x \ 1) \ 1,y),K(y,z)).
((x * K(y,z)) / x) * T(x,y) = K(y,z) * T(T(x,y),K(y,z)).
K(x,y) * T(T(z,x),K(x,y)) = ((z * K(x,y)) / z) * T(z,x).
R(((x \ 1) * y) \ y,z,u) = R(R(T(x,x \ y),z,u),x \ 1,y).
R(R(T(x,x \ y),z,u),x \ 1,y) = R(((x \ 1) * y) \ y,z,u).
T(x,y \ R(z,u,w)) = T(x,y \ z).
R(x,y,z) / T(u,u \ x) = u \ R(x,y,z).
T(x,y \ (z \ 1)) = T(x,y \ (1 / z)).
T(x,y \ (1 / z)) = T(x,y \ (z \ 1)).
T(x,y \ 1) = T(x,(z * y) \ z).
T(x,(y * z) \ y) = T(x,z \ 1).
T(x,y \ T(z,u)) = T(x,y \ T(z,z * u)).
T(x,y \ T(z,z * u)) = T(x,y \ T(z,u)).
T(x,y \ T(z,u)) = T(x,y \ T(z,u * z)).
T(x,y \ T(z,u * z)) = T(x,y \ T(z,u)).
T(x,y \ z) = T(x,y \ L(z,u,z)).
T(x,y \ L(z,u,z)) = T(x,y \ z).
T(x,y \ T(z,z \ u)) = T(x,y \ T(z,u)).
T(x,y \ R(z,u,w)) = x * K(x,y \ z).
T(x,(y / z) \ u) = T(x,z * (y \ R(u,w,v5))).
T(x,y * (z \ R(u,w,v5))) = T(x,(z / y) \ u).
T(x,y \ z) = T(x,(z \ y) \ 1).
T(x,(y \ z) \ 1) = T(x,z \ y).
T(x,y \ (y / z)) = T(x,z \ 1).
((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x).
T(x * y,y \ 1) = ((x * y) \ x) \ x.
T(x / (x * y),y \ 1) = x / (x * y).
x / T(x * y,y \ 1) = (x * y) \ x.
T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1).
R((x * y) \ x,z,u) * T(w,y \ 1) = w * R((x * y) \ x,z,u).
((x * y) \ T(x,y \ 1)) * x = x * ((x * y) \ x).
K(x,T(y * z,z \ 1)) = K(x,T(y * z,y)).
K(x,(y * z) \ y) = x \ T(x,z \ 1).
T(x \ y,y \ x) = ((x \ y) \ 1) \ 1.
1 / T(x \ y,y \ x) = (x \ y) \ 1.
T(x,T(y,y \ z) / z) = T(x,z \ y).
K(T(((x \ y) \ 1) / z,y \ x),u) = K(z \ ((x \ y) \ 1),u).
(x \ (x / y)) * T(z,y \ 1) = z * (x \ (x / y)).
T(x,y \ (y / z)) * 1 = x * K(x,z \ 1).
(x * ((x / y) / x)) \ T(x,y \ 1) = y.
T(x * (1 / y),y) = ((x * (1 / y)) \ x) \ x.
T(x * y,y \ 1) = L(y \ 1,y,x) \ x.
L(x \ 1,x,y) \ y = T(y * x,x \ 1).
((x * (y \ z)) \ x) \ x = T(x * (y \ z),z \ y).
T(x * (y \ z),z \ y) = ((x * (y \ z)) \ x) \ x.
x / T(x * (y \ 1),y) = (x * (y \ 1)) \ x.
x / T(x * (y \ z),z \ y) = (x * (y \ z)) \ x.
K(x,y \ 1) = K(x,(z * y) \ z).
K(x,(y * z) \ y) = K(x,z \ 1).
K(x,y \ z) = K(x,(z \ y) \ 1).
K(x,(y \ z) \ 1) = K(x,z \ y).
K(x,y \ (y / z)) = K(x,z \ 1).
K(x,(y * (z * u)) \ (y * z)) = K(x,L(u,z,y) \ 1).
(x \ y) \ K(x \ y,y \ x) = 1 / (x \ y).
((x \ y) \ z) * K(x \ y,y \ x) = (1 / (1 / (x \ y))) \ z.
T(x \ (x / y),z) \ 1 = (x \ (x / y)) \ K(z,y \ 1).
(x \ (x / y)) \ K(z,y \ 1) = T(x \ (x / y),z) \ 1.
T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1.
x * (((x \ y) \ 1) \ 1) = y * K(x \ y,y \ x).
x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1).
1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1.
1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1.
T(x,T(y * (z * u),a(y,z,u)) / ((y * z) * u)) = T(x,((y * z) * u) \ (y * (z * u))).
T(x \ y,y \ x) = T(x \ y,x / y).
T(x \ y,x / y) = T(x \ y,y \ x).
T(x,(y * ((y / z) / y)) / (u / z)) = T(x,T(y,z \ 1) / u).
1 / T(x \ y,x / y) = (x \ y) \ 1.
1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1.
1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1.
K(x,y \ R(z,u,w)) = K(x,y \ z).
R(x * K(y,y \ x),z,u) = y * (R(x,z,u) / y).
R(x,y,z) / T(x / u,u) = (x / u) \ R(x,y,z).
T(x,y \ T(z \ u,u)) = T(x,y \ T(z \ u,z)).
T(x,K(y,y \ z)) = T(x,y \ T(y,z)).
T(x,K(y,y \ z)) = T(x,K(y,z)).
T(x,K(y,z)) = T(x,K(y,y * z)).
T(x,K(y,y * z)) = T(x,K(y,z)).
x \ T(x,K(y,z)) = K(x,K(y,y \ z)).
K(x,K(y,y \ z)) = x \ T(x,K(y,z)).
T(x,K(y,z / y)) = T(x,K(y,z)).
T(x \ y,K(x,y)) = x \ y.
K(x,K(y,y \ z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(x,K(y,y * z)).
K(x,K(y,y * z)) = K(x,K(y,z)).
K(x,K(y,z / y)) = K(x,K(y,z)).
K(x,T(y * z,z \ 1)) = K(x,z * y).
T((x \ y) \ 1,z \ (z / u)) * 1 = ((x \ y) \ 1) * K(y \ x,u \ 1).
T(x * (1 / y),y) = L(y,1 / y,x) \ x.
L(x,1 / x,y) \ y = T(y * (1 / x),x).
T((x * (1 / y)) \ x,x * (1 / y)) = T(x * (1 / y),y) \ x.
(x * y) / R(y,x,x \ 1) = ((x * y) * (x \ 1)) \ (x * y).
((x * y) * (x \ 1)) \ (x * y) = (x * y) / R(y,x,x \ 1).
L(1 / (x \ y),x \ y,x) = y \ (x * K(x \ y,y \ x)).
x \ (y * K(y \ x,x \ y)) = L(1 / (y \ x),y \ x,y).
((x \ (y \ x)) \ 1) \ 1 = T(x \ (y \ x),y).
T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1.
K(L(x,y,x),z) = L(K(x,z),x,y).
L(K(x,y),x,z) = K(L(x,z,x),y).
L(K(x,y),x,z) = K(x,y).
(x * y) \ (x * T(y,z)) = K(y,z).
(x * T(y,z)) / K(y,z) = x * y.
L(K(x,y),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))).
(x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x).
(x * y) * K(y,z) = x * T(y,z).
(x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K(L(z,y,x),u).
x * K(y,z) = (x / y) * T(y,z).
(x / y) * T(y,z) = x * K(y,z).
((x * y) * (y \ z)) * K(z,u) = R(x,y,y \ z) * T(z,u).
x * ((y * z) * K(z,x * y)) = L(z,y,x) * (x * y).
K(x,y) * (z * T(y,x)) = T(z * y,K(y,x)).
(x * K(y,z)) / T(y,z) = x / y.
T(x / y,T(y,z)) = T(y,z) \ (x * K(y,z)).
T(x,y) \ (z * K(x,y)) = T(z / x,T(x,y)).
R(1 / x,y,z) * T(x,u) = (R(x,y,z) \ x) * K(x,u).
x / T(y,z) = (x / K(y,z)) / y.
(x / K(y,z)) / y = x / T(y,z).
R(x,y,y \ 1) / T(x,y) = ((y * x) * (y \ 1)) / x.
T(x * y,K(y,z)) = y * T(x,T(y,z)).
T(x / y,T(y,z)) = y \ T(x,K(y,z)).
x \ T(y,K(x,z)) = T(y / x,T(x,z)).
x \ 1 = T(1 / x,T(x,y)).
T(1 / x,T(x,y)) = x \ 1.
T(x,T(x \ 1,y)) = (x \ 1) \ 1.
T(x \ 1,x) = T(x \ 1,T(x,y)).
T(x \ 1,T(x,y)) = T(x \ 1,x).
T(x / (y * x),T(y,z)) = R(y \ 1,y,x).
L(T(x,T(L(x,y,z) \ 1,u)),y,z) = (L(x,y,z) \ 1) \ 1.
T(T(x \ 1,x),y) = T(T(x \ 1,y),T(x,z)).
T(T(x \ 1,y),T(x,z)) = T(T(x \ 1,x),y).
T(x,y * R(z,u,w)) = T(x,v5 \ ((v5 * y) * z)).
T(x,y \ ((y * z) * u)) = T(x,z * R(u,w,v5)).
T(x,y * R(z,u,w)) = T(x,(v5 / y) \ (v5 * z)).
T(x,(y / z) \ (y * u)) = T(x,z * R(u,w,v5)).
T(x,y * (z \ R(z,u,w))) = T(x,y).
T(x,(y \ R(y,z,u)) * w) = T(x,w).
T(x,R(y,z,u) \ w) = T(x,y \ w).
T(x,T(y,z) \ u) = T(x,T(y,y * z) \ u).
T(x,T(y,y * z) \ u) = T(x,T(y,z) \ u).
R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y.
T(x,T(y,z) \ u) = T(x,T(y,z * y) \ u).
T(x,T(y,z * y) \ u) = T(x,T(y,z) \ u).
T(x,y \ z) = T(x,L(y,u,y) \ z).
T(x,L(y,z,y) \ u) = T(x,y \ u).
T(x,(y \ T(z,y \ z)) \ u) = T(x,(z / y) \ u).
T(x,R(T(y,z),u,w) \ y) = T(x,K(z,y)).
T(x,R(y,z,u) \ w) = x * K(x,y \ w).
T(x,y * ((z * y) \ u)) = T(x,R(z,w,v5) \ u).
T(x,R(y,z,u) \ w) = T(x,v5 * ((y * v5) \ w)).
T(x,y \ (R(y,z,u) / w)) = T(x,w \ 1).
x / L(T(y,y \ x),z,y) = L(y,z,y) \ x.
K(x,R(y,z,u) \ w) = K(x,y \ w).
K(x,(y \ z) * u) = K(x,y \ (z * u)).
K(x,y \ (z * u)) = K(x,(y \ z) * u).
R(x,y,z) * (u / R(x,y,z)) = u * K(x,x \ u).
K(x,y * (L(y,z,u) \ w)) = K(x,(L(y,z,u) \ y) * w).
K(x,(L(y,z,u) \ y) * w) = K(x,y * (L(y,z,u) \ w)).
x / R(T(y,y \ x),z,u) = R(y,z,u) \ x.
R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y.
1 / R(x,y,x \ 1) = L(x,x \ y,x) \ 1.
L(x,x \ y,x) \ 1 = 1 / R(x,y,x \ 1).
(x * y) / R(T(x,y),z,u) = R(x,z,u) \ (x * y).
x / R(T(x / y,y),z,u) = R(x / y,z,u) \ x.
L(R(T(x,x \ y),z,u) \ 1,R(T(x,x \ y),z,u),R(T(x,x \ y),z,u) \ y) = y \ (R(x,z,u) \ y).
R(1 / x,y,x \ 1) = L(x,x \ y,x) \ 1.
R(1 / x,x * y,x \ 1) = L(x,y,x) \ 1.
T(x,y / R(1 / z,u,w)) = T(x,(v5 / y) \ (v5 * z)).
T(x,(y / z) \ (y * u)) = T(x,z / R(1 / u,w,v5)).
T(x,y \ ((y * z) * u)) = T(x,(w / z) \ (w * u)).
T(x,(y / z) \ (y * u)) = T(x,w \ ((w * z) * u)).
T(x,R(y,z,u) \ w) = T(x,v5 \ ((y * (1 / v5)) \ w)).
T(x,x * (y / (x * z))) = T(x,y / z).
((x \ 1) * R(x,y,z)) * u = u * ((x \ 1) * R(x,y,z)).
T(x,T(1 / y,z) \ u) = T(x,y * (K(z,y \ 1) * u)).
T(x,y * (K(z,y \ 1) * u)) = T(x,T(1 / y,z) \ u).
T(x,y / z) = T(x,(y / (u * z)) * u).
T(x,(y / (z * u)) * z) = T(x,y / u).
T(x,y / z) = T(x,y * ((u * z) \ u)).
T(x,y * ((z * u) \ z)) = T(x,y / u).
T(x,y * (z \ u)) = T(x,y / (u \ z)).
T(x,y / (z \ u)) = T(x,y * (u \ z)).
T(x,y * (z \ (z / u))) = T(x,y / u).
T(x,y * ((z * x) \ z)) = T(x,x \ y).
T(x,x * ((y * z) \ y)) = T(x,z \ x).
T(x,(y / z) \ u) = T(x,z / (u \ y)).
T(x,y / (z \ u)) = T(x,(u / y) \ z).
T(x,T(y,z) \ (y / u)) = T(x,K(z,y) / u).
T(x,y / z) = T(x,R(y,u,w) / z).
T(x,R(y,z,u) / w) = T(x,y / w).
T(x,y / z) = T(x,u \ ((u * y) / z)).
T(x,y \ ((y * z) / u)) = T(x,z / u).
T(x,(y \ z) / u) = T(x,y \ (z / u)).
T(x,(y / z) \ (y / u)) = T(x,z / u).
T(x,T(y,y \ z) / u) = T(x,T(y,z) / u).
T(x,(R(y,z,u) / w) / v5) = T(x,y / (((v5 * (w * (z * u))) / u) / z)).
T(x,y / (((z * (u * (w * v5))) / v5) / w)) = T(x,(R(y,w,v5) / u) / z).
T(x,((y \ z) \ z) / u) = T(x,T(y,z) / u).
T(x,x \ (y \ 1)) = T(x,y \ ((z * x) \ z)).
T(x,y \ ((z * x) \ z)) = T(x,x \ (y \ 1)).
T(x,x * ((y * (z * u)) \ (y * z))) = T(x,L(u,z,y) \ x).
T(x,(y / (z / u)) \ w) = T(x,z / ((w \ y) * u)).
T(x,y / ((z \ u) * w)) = T(x,(u / (y / w)) \ z).
T(x,y / (z \ (u \ z))) = T(x,((z / u) / y) \ (u * (z / u))).
T(x,((y / z) / u) \ (z * (y / z))) = T(x,u / (y \ (z \ y))).
T(x,y / (z \ u)) = T(x,T((z * y) / u,z)).
T(x,T((y * z) / u,y)) = T(x,z / (y \ u)).
T(x,y \ K(y,z)) = T(x,z / (z * y)).
T(x,y \ (z / (u \ 1))) = T(x,(y \ z) * u).
T(x,y \ (z / (u \ w))) = T(x,(w / (y \ z)) \ u).
T(x,(y / (z \ u)) \ w) = T(x,z \ (u / (w \ y))).
T(x,((y / z) / u) \ (y * K(z \ 1,y))) = T(x,u / ((y / z) / y)).
T(x,T(y,y * z) \ (y / u)) = T(x,K(z,y) / u).
T(x,T(y,z) / u) = T(x,(y \ z) \ (z / u)).
T(x,(y \ z) \ (z / u)) = T(x,T(y,z) / u).
T(x,y \ (z / u)) = T(x,T(z / y,z) / u).
T(x,T(y / z,y) / u) = T(x,z \ (y / u)).
T(x,(y \ 1) / (T(z,y \ u) / u)) = T(x,z \ ((y \ 1) * u)).
T(x,(1 / y) / (T(z,y \ u) / u)) = T(x,z \ ((1 / y) * u)).
K(T(1 / x,y) \ z,u) = K(x * (K(y,x \ 1) * z),u).
K(x * (K(y,x \ 1) * z),u) = K(T(1 / x,y) \ z,u).
K(x / ((y * (z * u)) / (z * u)),w) = K(R(x,z,u) / y,w).
K(((x * y) / x) \ ((1 / y) \ z),u) = K(K(y,x) * z,u).
K(x,L(y,z,z \ 1)) = K(x,y * K(z,z \ 1)).
K(x,y * K(z,z \ 1)) = K(x,L(y,z,z \ 1)).
K(x,y / ((z * (u * w)) / (u * w))) = K(x,R(y,u,w) / z).
K(x,T(y,z \ y)) = K(x,y * K(z,y)).
R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x.
R(((x \ 1) * y) * x,z,u) = (x \ R(L(y,x \ 1,x),z,u)) * x.
(x \ R(L(y,x \ 1,x),z,u)) * x = R(((x \ 1) * y) * x,z,u).
K(T(x / y,z) \ 1,u) = K(T(y / x,z),u).
K(T(x,y) \ 1,z) = K(T(1 / x,y),z).
K(T(x,y) \ 1,z) = K(T(x \ 1,y),z).
((x \ 1) / y) * K(y \ 1,z) = x \ T(x * ((x \ 1) / y),z).
x \ T(x * ((x \ 1) / y),z) = ((x \ 1) / y) * K(y \ 1,z).
K(x * L(y \ z,u,w),y) = K(x * L(z / y,u,w),y).
K(x * L(y / z,u,w),z) = K(x * L(z \ y,u,w),z).
(x * (y * z)) / T(y * x,z) = (y * x) \ (x * (y * z)).
((x * (1 / y)) \ T(x,y)) * x = x * ((x * (1 / y)) \ x).
(x \ (x / y)) * ((y \ 1) \ 1) = y * (x \ (x / y)).
(x \ (x / (y \ 1))) * (y \ 1) = (1 / y) * (x \ (x / (y \ 1))).
R(x * (y / x),z,u) = x * (R(y,z,u) / x).
x \ R(x * (y / x),z,u) = R(y,z,u) / x.
R(x * (y / x),x,x \ 1) = x * (y * (1 / x)).
R(x * R(1 / x,y,z),u,w) = x * (R(R(x,y,z) \ x,u,w) / x).
x * (R(R(x,y,z) \ x,u,w) / x) = R(x * R(1 / x,y,z),u,w).
x \ R(x * y,z,u) = R(y * x,z,u) / x.
R(x * y,z,u) / y = y \ R(y * x,z,u).
R(1 / x,x,y * (1 / x)) = (y * (1 / x)) / R(x * (y / x),x,x \ 1).
(x * (1 / y)) / R(y * (x / y),y,y \ 1) = R(1 / y,y,x * (1 / y)).
L(x,y,L(z * (u / z),z,z \ 1)) = L(x,y,z * (u * (1 / z))).
R(x,y,z) / (u \ x) = (x / u) \ R(x,y,z).
T(x,((y \ 1) \ T(z,y * z)) \ u) = T(x,(z / (y \ 1)) \ u).
R(x,y,z) * (u / R(x,y,z)) = x * (u / x).
R(x,y,z) * (x \ (u / R(x,y,z))) = u / x.
x * (y / x) != R(x,z,u) * w | y / R(x,z,u) = w.
R(x,y,z) * u != x * (w / x) | w / R(x,y,z) = u.
x / R(y \ x,z,u) = R(x / y,z,u) \ x.
(x \ y) * (R(x \ y,z,u) \ x) = R(y / x,z,u) \ y.
K(R(x / y,z,u) \ x,w) = K(y,w).
K(R(x,y,z) \ u,w) = K(x \ u,w).
K((x \ y) * z,u) = K(x \ (y * z),u).
K(x \ (y * z),u) = K((x \ y) * z,u).
K(x * (y \ z),u) = K((y / x) \ z,u).
K((x / y) \ z,u) = K(y * (x \ z),u).
K(x \ L(y,z,y),u) = K(R(x,w,v5) \ y,u).
K(R(x,y,z) \ u,w) = K(x \ L(u,v5,u),w).
K(x \ (y * z),T(z,u)) = K(z * (x \ y),T(z,u)).
K(x * (y \ R(y,z,u)),w) = K(x,w).
K(x \ 1,y) = K(x \ (z \ R(z,u,w)),y).
K(x \ (y \ R(y,z,u)),w) = K(x \ 1,w).
(x \ (y \ R(y,z,u))) \ K(x \ 1,x) = ((y \ R(y,z,u)) / x) \ 1.
T(x,((y / z) / u) \ y) = T(x,w \ ((w * u) * z)).
K(R(x \ 1,x,y) / z,u) = K(y / (z * (x * y)),u).
((x * y) * (x \ 1)) / y = T(y,x) \ R(y,x,x \ 1).
T(x,y) \ R(x,y,y \ 1) = ((y * x) * (y \ 1)) / x.
T(x,(y / z) \ (y * u)) = T(x,z / (w / (u * w))).
T(x,(y / (z \ u)) \ (y * w)) = T(x,z \ (u / (v5 / (w * v5)))).
T(x,y * ((z * y) \ u)) = T(x,w \ ((z * (1 / w)) \ u)).
T(x,y \ ((z * (1 / y)) \ u)) = T(x,w * ((z * w) \ u)).
x * T(y,(R(z,u,w) \ z) * x) = y * x.
K(x * (y / x),z) = K((x * y) / x,z).
K((x * y) / x,z) = K(x * (y / x),z).
x \ (((y \ 1) * R(y,z,u)) * x) = (y \ 1) * R(y,z,u).
T(x,T(1 / y,z) \ u) = T(x,T(y \ 1,z) \ u).
K(T(1 / x,y) \ z,u) = K(T(x \ 1,y) \ z,u).
(x * (y * z)) / T(y * x,z) = L(K(x,y) * z,y,x).
(x * (L(L(x,y,z),u,w) * v5)) / T(x * L(L(x,y,z),u,w),v5) = L(K(L(L(x,y,z),u,w),x) * v5,x,L(L(x,y,z),u,w)).
(x * ((x * (1 / y)) \ x)) / x = (x * (1 / y)) \ T(x,y).
(x * (1 / y)) \ T(x,y) = (x * ((x * (1 / y)) \ x)) / x.
K(x / (y * (z \ 1)),u) = K(x * (z / y),u).
K(x * (y / z),u) = K(x / (z / y),u).
K(x / (y / z),u) = K(x * (z / y),u).
K(x / y,z) = K(R(x,u,w) / y,z).
K(R(x,y,z) / u,w) = K(x / u,w).
K(((x * y) / z) / u,w) = K((x / (z / y)) / u,w).
K((1 / x) / y,z) = K(u / (y * (x * u)),z).
K(x / (y * (z * x)),u) = K((1 / z) / y,u).
K((x \ 1) / y,z) = K(u / (y * (x * u)),z).
K(x / (y * (z * x)),u) = K((z \ 1) / y,u).
K(x / (y * (z * x)),u) = K(1 / (y * z),u).
K(x / (y * (z * x)),u) = K((y * z) \ 1,u).
K((x * y) \ 1,z) = K((y \ 1) / x,z).
K((x \ 1) / y,z) = K((y * x) \ 1,z).
K((x * y) \ 1,z) = K(y \ (x \ 1),z).
K((x * y) \ 1,z) = K(y \ (1 / x),z).
K((x * y) \ R(z,z \ x,y),u) = K(y \ (1 / (z \ x)),u).
K(x \ R(y / z,z,y \ x),u) = K((y \ x) \ (1 / z),u).
K(((x * y) / z) / u,w) = K(x / (u * (z / y)),w).
K(x / (y * (z / u)),w) = K((x * u) / (y * z),w).
K((x * y) / (z * u),w) = K(x / (z * (u / y)),w).
K(x / (y * (z / u)),w) = K(x / ((y * z) / u),w).
K(x / ((y * z) / u),w) = K(x / (y * (z / u)),w).
K(x / (y * (z / u)),w) = K(x * (u / (y * z)),w).
K(x * (y / (x * 1)),z) = x / (x / K(y,z)).
K(x * (y / x),z) = x / (x / K(y,z)).
K((x \ 1) * (y / (x \ 1)),z) = ((1 / x) * K(y,z)) * x.
((1 / x) * K(y,z)) * x = K(x \ (y / (x \ 1)),z).
K(x \ (y / (x \ 1)),z) = ((1 / x) * K(y,z)) * x.
((1 / x) * K(y,z)) * x = K(T(y,x),z).
K(T(x,y),z) / K(x,z) = K(y \ 1,K(x,z)).
K(x \ 1,K(y,z)) = K(T(y,x),z) * K(z,y).
K(T(x,y),z) * K(z,x) = K(y \ 1,K(x,z)).
K(x \ 1,K(y,z)) = K(K(y,z),x).
K(x,y / z) = K(x,R(y,u,w) / z).
K(x,R(y,z,u) / w) = K(x,y / w).
K(x,y * z) = K(x,y / (z \ 1)).
K(x,y / (z \ 1)) = K(x,y * z).
x * K(y \ 1,x * y) = (y \ 1) * (x / (y \ 1)).
(x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x).
K(x,K(y \ 1,z * y)) = K(x,K(y \ 1,z)).
K(x \ (1 / (y \ z)),u) = K((z * x) \ y,u).
K((x * y) \ z,u) = K(y \ ((z \ x) \ 1),u).
K(x \ ((y \ z) \ 1),u) = K((z * x) \ y,u).
K((x \ y) \ (1 / z),u) = K(y \ (x / z),u).
K(x \ (y / z),u) = K((y \ x) \ (z \ 1),u).
K((x \ y) \ (z \ 1),u) = K(y \ (x / z),u).
((x / y) * R(y,z,u)) \ (R(y,z,u) * x) = T(y,x).
(R(x,y,z) * u) / T(x,u) = (u / x) * R(x,y,z).
(R(x,y,z) * L(x,u,w)) / x = (L(x,u,w) / x) * R(x,y,z).
K(x,y) * T(T(z,x),K(x,y)) = (z / (z / K(x,y))) * T(z,x).
K(T(((x \ y) \ 1) / z,y \ x),u) = K((y * z) \ x,u).
((x / (y * x)) * y) * K((x / (y * x)) \ 1,1 \ (x / (y * x))) = (1 / (1 / ((x / (y * x)) \ 1))) \ y.
T(L(x,1 / x,y),y * (1 / x)) = T(y * (1 / x),x) \ y.
L(T(x,y * (1 / x)),1 / x,y) = T(y * (1 / x),x) \ y.
L(T(x,x \ y),1 / x,y) = T(y * (1 / x),x) \ y.
(x * (y * z)) \ ((x * y) * L(T(z,u),y,x)) = K(L(z,y,x),u).
T(x,((y / z) / u) \ (z * (y / z))) = T(x,((z \ y) / u) \ y).
T(x,y \ ((z \ 1) * u)) = T(x,z \ ((T(y,z \ u) / u) \ 1)).
T(x,y \ ((T(z,y \ u) / u) \ 1)) = T(x,z \ ((y \ 1) * u)).
T(x,y \ ((1 / z) * u)) = T(x,1 / ((T(y,z \ u) / u) * z)).
T(x,1 / ((T(y,z \ u) / u) * z)) = T(x,y \ ((1 / z) * u)).
T(x,((y \ 1) \ T(z,y * z)) \ u) = T(x,y \ (1 / (u \ z))).
T(x,y \ (z / (u / (w * u)))) = T(x,y \ (z / ((v5 * w) \ v5))).
T(x,y \ (z / ((u * w) \ u))) = T(x,y \ (z / (v5 / (w * v5)))).
(x / (x / K(y,z))) * T(x,y) = T(x,y) * K(y,z).
T(x * K(y,z),y) = (x / (x / K(y,z))) * T(x,y).
(x / (x / K(y,z))) * T(x,y) = T(x * K(y,z),y).
K(x * (y / x),z) * T(x,y) = T(x * K(y,z),y).
(x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u).
K(L(x,y,z),u) = L(K(x,u),y * x,z).
L(K(x,y),z * x,u) = K(L(x,z,u),y).
T(x,y \ ((1 / z) * u)) = T(x,((T(y,z \ u) / u) * z) \ 1).
T(x,((T(y,z \ u) / u) * z) \ 1) = T(x,y \ ((1 / z) * u)).
T(x,((y \ 1) \ T(z,y * z)) \ u) = T(x,y \ ((u \ z) \ 1)).
T(x,y \ (z / (u \ (u / w)))) = T(x,y \ (z / (v5 / (w * v5)))).
K(((x \ (1 / y)) * y) * z,u) = K(x \ z,u).
K(x \ y,z) = K((x \ (1 / u)) * (u * y),z).
K((x \ (1 / y)) * (y * z),u) = K(x \ z,u).
L(x,y \ (x \ y),x) = 1 / (K(x * (y \ (x \ y)),x) / x).
1 / (K(x * (y \ (x \ y)),x) / x) = L(x,y \ (x \ y),x).
(x \ L(R(y,z,u),x \ 1,x)) * x = R(((x \ 1) * y) * x,z,u).
((x \ 1) * R(y,z,u)) * x = R(((x \ 1) * y) * x,z,u).
R(((x \ 1) * y) * x,z,u) = ((x \ 1) * R(y,z,u)) * x.
T((x \ y) \ 1,z) \ x = x / T(T((x \ y) \ 1,y),z).
x / T(T((x \ y) \ 1,y),z) = T((x \ y) \ 1,z) \ x.
K(x,K(y,z)) * T((x \ 1) \ 1,y) = T((T(x,y) \ 1) \ 1,K(y,z)).
R((x * y) \ x,z,u) * T(x * y,y \ 1) = x * (R(y,z,u) \ y).
T(x,y / ((z / u) / z)) = T(x,(((z / u) / y) \ z) * K(u \ 1,z)).
T(x,(((y / z) / u) \ y) * K(z \ 1,y)) = T(x,u / ((y / z) / y)).
(T(x,y) \ 1) * (K(x,K(y,z)) * T((x \ 1) \ 1,y)) = K(T(x,y),K(y,z)).
T(x,y / (((z * (u * (w * v5))) / v5) / w)) = T(x,R(y,w,v5) / (z * u)).
T(x,y / (((z * (u * (w * v5))) / v5) / w)) = T(x,y / (z * u)).
(x \ y) \ R((x \ y) * z,u,w) = (y / x) \ R((y / x) * z,u,w).
(x / y) \ R((x / y) * z,u,w) = (y \ x) \ R((y \ x) * z,u,w).
(x / y) \ R(x,z,u) = (y \ x) \ R((y \ x) * y,z,u).
(x \ y) \ R((x \ y) * x,z,u) = (y / x) \ R(y,z,u).
K(x \ y,x) * z != (x \ y) / R(y / x,u,w) | z = R(y / x,u,w) \ (y / x).
R(x \ y,z,u) \ (x \ y) = R(y / x,z,u) \ (y / x).
R(x / y,z,u) \ (x / y) = R(y \ x,z,u) \ (y \ x).
R(x / y,z,u) \ (x / y) = y \ (x * R(x \ y,z,u)).
((x * y) / (z * y)) \ (x / z) = z \ (x * R(x \ z,z,y)).
L(x,y,(((z * u) / w) * K(z,v5)) * v6) = L(x,y,(w \ (T(z,v5) * u)) * v6).
L(x,y,(((z \ u) / w) * K(v5,z)) * v6) = L(x,y,(w \ (T(z,v5) \ u)) * v6).
(L(x,y,y \ z) * z) \ (z * T(x,z)) = a(z / y,y,T(x,z)).
(L(x,y,y \ z) * z) \ (x * z) = a(z / y,y,T(x,z)).
K(L(L(x \ 1,y * x,z),x,y) \ 1,u) = K(L(x,y,z),u).
T((x \ (x / y)) \ 1,z \ (z / u)) * 1 = ((x \ (x / y)) \ 1) * K(y,u \ 1).
(T(x,y) \ 1) * (K(x,K(y,z)) * T((x \ 1) \ 1,y)) = K(x,K(y,z)).
(T(x,y) \ 1) * T(T((x \ 1) \ 1,y),K(y,z)) = K(x,K(y,z)).
(x * (y \ 1)) \ ((y / x) \ 1) = ((y / x) * (x * (y \ 1))) \ 1.
((x / y) * (y * (x \ 1))) \ 1 = (y * (x \ 1)) \ ((x / y) \ 1).
(x * (y \ 1)) \ ((y / x) \ 1) = a(x \ y,x,y \ 1).
(x / y) \ R(x / y,y,x \ 1) = a(y \ x,y,x \ 1).
(x / y) \ (1 / (y * (x \ 1))) = a(y \ x,y,x \ 1).
(x * (K(x,y) * (z * u))) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u).
(T(x,y) * (z * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u).
a(T(x,y),z,u) = a(x,K(x,y) * z,u).
a(x,K(x,y) * z,u) = a(T(x,y),z,u).
a(x,y,z) = a(T(x,y),T(y,x),z).
a(T(x,y),T(y,x),z) = a(x,y,z).
(K(x,y) * (z * (u * w))) \ ((K(x,y) * (z * u)) * w) = a(K(x,y) * z,u,w).
(K(x,y) * (z * (u * w))) \ (K(x,y) * ((z * u) * w)) = a(K(x,y) * z,u,w).
a(K(x,y) * z,u,w) = L(a(z,u,w),z * (u * w),K(x,y)).
L(a(x,y,z),x * (y * z),K(u,w)) = a(K(u,w) * x,y,z).
a(K(x,y) * z,u,w) = a(z,u,w).
a(1 / x,y,z) = a(x \ 1,y,z).
a(T(x,y),z,u) = a(x,z,u).
a(x * K(y,x),z,u) = a(x,z,u).
a(x * y,z,u) = a(y * x,z,u).
a(T(x,y) * z,u,w) = a(x * z,u,w).
a(x \ y,z,u) = a(T(x,w) \ y,z,u).
a(T(x,y) \ z,u,w) = a(x \ z,u,w).
a((x \ y) \ y,z,u) = a(x,z,u).
a(x / (x / y),z,u) = a(y,z,u).
a((x \ y) * x,z,u) = a(y,z,u).
a(x / y,z,u) = a(y \ x,z,u).
a((x * y) * z,u,w) = a((y * x) * z,u,w).
a((x \ y) * z,u,w) = a((y / x) * z,u,w).
a((x / y) * z,u,w) = a((y \ x) * z,u,w).
a((T(x,y) * z) * u,w,v5) = a((x * z) * u,w,v5).
a((x / y) \ z,u,w) = a((y \ x) \ z,u,w).
a(x \ y,z,u) = a(((x \ w) \ w) \ y,z,u).
a(((x \ y) \ y) \ z,u,w) = a(x \ z,u,w).
a((x * y) * (x \ 1),z,u) = a(R(y,x,x \ 1),z,u).
a(((1 / x) * y) * x,z,u) = a(R(y,x,x \ 1),z,u).
a(((x / y) * z) * u,w,v5) = a(((y \ x) * z) * u,w,v5).
a(((x / y) \ z) * u,w,v5) = a(((y \ x) \ z) * u,w,v5).
a(L(x,y,z) * u,w,v5) = a(L(T(x,v6),y,z) * u,w,v5).
a(L(T(x,y),z,u) * w,v5,v6) = a(L(x,z,u) * w,v5,v6).
a(L(x,y,z) \ u,w,v5) = a(L(T(x,v6),y,z) \ u,w,v5).
a(L(T(x,y),z,u) \ w,v5,v6) = a(L(x,z,u) \ w,v5,v6).
a(x * K(y,z),u,w) = a(x,u,w).
a(L(T(x,y),z,u),w,v5) = a(L(x,z,u),w,v5).
a(R(T(x,y),z,u),w,v5) = a(R(x,z,u),w,v5).
a(L((x \ y) \ y,z,u),w,v5) = a(L(x,z,u),w,v5).
a((x * y) \ (z * y),u,w) = a(R(z / x,x,y),u,w).
a(R(x / y,y,z),u,w) = a((y * z) \ (x * z),u,w).
a(x \ (y * (x \ 1)),z,u) = a((y / x) * (1 / x),z,u).
a(x \ (y / (x \ 1)),z,u) = a((y / x) / (1 / x),z,u).
a((x / y) / (1 / y),z,u) = a(y \ (x / (y \ 1)),z,u).
a(L(x,y,x),z,u) = a(x * K(y,x),z,u).
a(x * K(y,x),z,u) = a(L(x,y,x),z,u).
a(x,T(y,x),z) = a(x,y,z).
a(x * (y * z),u,w) = a(L(z,y,x) * (x * y),u,w).
a(L(x,y,z) * (z * y),u,w) = a(z * (y * x),u,w).
a(((x / y) \ 1) * y,z,u) = a(x * ((y / x) * (y / x)),z,u).
a(x * ((y / x) * (y / x)),z,u) = a(((x / y) \ 1) * y,z,u).
a(K(x,y) * (z * u),w,v5) = a(u * (K(x,y) * z),w,v5).
a(x * (y * L(z,x,y)),u,w) = a((T(x,y) * L(z,y,x)) * y,u,w).
a((T(x,y) * L(z,y,x)) * y,u,w) = a(x * (y * L(z,x,y)),u,w).
a(R(x,y,z) \ (u * x),w,v5) = a(x * (R(x,y,z) \ u),w,v5).
a(((x / ((y \ 1) * z)) * (y \ 1)) * y,u,w) = a(R(y * (x / z),y \ 1,z),u,w).
a(R(x * (y / z),x \ 1,z),u,w) = a(((y / ((x \ 1) * z)) * (x \ 1)) * x,u,w).
a(x \ y,x,x \ z) = ((y / x) * z) \ (y * (x \ z)).
a(K(x,y) * z,u,w) = a((z \ (y * x)) \ (x * y),u,w).
a((x \ (y * z)) \ (z * y),u,w) = a(K(z,y) * x,u,w).
a(x,y,z) = ((x * K(u,w)) * (y * z)) \ (((x * K(u,w)) * y) * z).
((x * K(y,z)) * (u * w)) \ (((x * K(y,z)) * u) * w) = a(x,u,w).
a(x * T(y,z),u,w) = a(x * y,u,w).
a(((x \ y) \ y) * z,u,w) = a(x * z,u,w).
a(L((x \ y) \ y,z,u) * w,v5,v6) = a(L(x,z,u) * w,v5,v6).
a(x * ((y / x) * z),u,w) = a(x * ((x \ y) * z),u,w).
a(R(x,y,y \ 1) \ z,u,w) = a(((y * x) * (y \ 1)) \ z,u,w).
a(((x * y) * (x \ 1)) \ z,u,w) = a(R(y,x,x \ 1) \ z,u,w).
a((x \ (y / (x \ 1))) \ z,u,w) = a(((y / x) / (1 / x)) \ z,u,w).
a(((x / y) / (1 / y)) \ z,u,w) = a((y \ (x / (y \ 1))) \ z,u,w).
a((x \ (K(y,z) * u)) \ w,v5,v6) = a((K(y,z) * (u / x)) \ w,v5,v6).
a(x * R(T(y,z),u,w),v5,v6) = a(x * R(y,u,w),v5,v6).
a(x * (y \ z),u,w) = a(x * (z / y),u,w).
a(x * (y / z),u,w) = a(x * (z \ y),u,w).
a(x * R(y,z,z \ 1),u,w) = a(x * (((1 / z) * y) * z),u,w).
a(x * (((1 / y) * z) * y),u,w) = a(x * R(z,y,y \ 1),u,w).
a(x * y,z,u) = a(x * ((w * y) / w),z,u).
a(x * ((y * z) / y),u,w) = a(x * z,u,w).
a(x * L(y,z,y),u,w) = a(x * (y * K(z,y)),u,w).
a(x * (y * K(z,y)),u,w) = a(x * L(y,z,y),u,w).
a(L(x,y,x),z,u) = a(x,z,u).
a(x,y,z) = a(R(x,u,x),y,z).
a(R(x,y,x),z,u) = a(x,z,u).
a((((x \ y) \ y) * z) * u,w,v5) = a((z * T(x,x \ y)) * u,w,v5).
a((x * T(y,z)) * u,w,v5) = a((K(y,z) * (x * y)) * u,w,v5).
a((K(x,y) * (z * x)) * u,w,v5) = a((z * T(x,y)) * u,w,v5).
a((x * y) * z,u,w) = a(z * (y * x),u,w).
a(x * R(y,x,z),u,w) = a(((x * z) \ ((x * y) * z)) * x,u,w).
a(((x * y) \ ((x * z) * y)) * x,u,w) = a(x * R(z,x,y),u,w).
a((x \ y) * z,u,w) = a(z * (y / x),u,w).
a(((1 / x) * (y * x)) \ z,u,w) = a(L(y,x,x \ 1) \ z,u,w).
a(L(L(T(x,y),z,u),w,v5),v6,v7) = a(L(L(x,z,u),w,v5),v6,v7).
a(L(x \ y,z,u),w,v5) = a(L(y / x,z,u),w,v5).
a(L(x / y,z,u),w,v5) = a(L(y \ x,z,u),w,v5).
a(R(x \ y,z,u),w,v5) = a(R(y / x,z,u),w,v5).
a(R(x / y,z,u),w,v5) = a(R(y \ x,z,u),w,v5).
a(x * y,z,u) = a(y * ((x \ w) \ w),z,u).
a(x * ((y \ z) \ z),u,w) = a(y * x,u,w).
a(((x \ y) \ y) * z,u,w) = a(z * x,u,w).
a(((x / y) \ z) * (y \ x),u,w) = a(z,u,w).
a(x * R(y / z,u,w),v5,v6) = a(x * R(z \ y,u,w),v5,v6).
a(((x \ y) * x) * z,u,w) = a(z * y,u,w).
a((x * y) * L(R(z,y,x),u,w),v5,v6) = a((L(z,u,w) * y) * x,v5,v6).
a((x * y) * R(R(z,y,x),u,w),v5,v6) = a((R(z,u,w) * y) * x,v5,v6).
a(x * (y * z),u,w) = a(x * (z * y),u,w).
a((x * y) * (x \ 1),z,u) = a(L(y,x,x \ 1),z,u).
a(((x \ y) * x) * R(1 / z,z,u),w,v5) = a((u / (z * u)) * y,w,v5).
a((x / (y * x)) * z,u,w) = a(((v5 \ z) * v5) * R(1 / y,y,x),u,w).
a(x * L(y,z,z \ 1),u,w) = a(x * ((z * y) * (1 / z)),u,w).
a(x * ((y * z) * (1 / y)),u,w) = a(x * L(z,y,y \ 1),u,w).
a((x * ((y / x) / z)) * u,w,v5) = a((x * ((x \ y) / z)) * u,w,v5).
a((x * y) \ (z * y),u,w) = a(R(x \ z,x,y),u,w).
a(R(x \ y,x,z),u,w) = a((x * z) \ (y * z),u,w).
a((L(x,y,z) * z) * y,u,w) = a(z * (y * R(x,z,y)),u,w).
a(L(x,y,y \ 1),z,u) = a(R(x,y,y \ 1),z,u).
a(((1 / x) * y) * x,z,u) = a(L(y,x,x \ 1),z,u).
a(((x \ y) * z) * u,w,v5) = a(u * ((y / x) * z),w,v5).
a(((x \ 1) * y) * x,z,u) = a(L(y,x,x \ 1),z,u).
a(L(x,y,y \ 1),z,u) = a((x * (y \ 1)) * y,z,u).
a((x * (y \ 1)) * y,z,u) = a(L(x,y,y \ 1),z,u).
a(L(x \ y,z,u) \ w,v5,v6) = a(L(y / x,z,u) \ w,v5,v6).
a(L(x / y,z,u) \ w,v5,v6) = a(L(y \ x,z,u) \ w,v5,v6).
a(x \ (y * (x \ 1)),z,u) = a((y / x) * (x \ 1),z,u).
a(x \ (y / (x \ 1)),z,u) = a((1 / x) \ (y / x),z,u).
a((1 / x) \ (y / x),z,u) = a(x \ (y / (x \ 1)),z,u).
a(x * (K(y,z) * u),w,v5) = a(u * x,w,v5).
a(x * R(K(y,z) * u,w,v5),v6,v7) = a(R(u,w,v5) * x,v6,v7).
a(x * (T(y,z) \ u),w,v5) = a((y \ u) * x,w,v5).
a(x * ((y * z) * u),w,v5) = a(((z * y) * u) * x,w,v5).
a(((x * y) * z) * u,w,v5) = a(u * ((y * x) * z),w,v5).
a(x * ((T(y,z) * u) / w),v5,v6) = a(((y * u) / w) * x,v5,v6).
a(x * (L(y,z,u) \ w),v5,v6) = a((L(T(y,v7),z,u) \ w) * x,v5,v6).
a((L(T(x,y),z,u) \ w) * v5,v6,v7) = a(v5 * (L(x,z,u) \ w),v6,v7).
a(x * (K(y,z) * u),w,v5) = a(x * u,w,v5).
a(x * (T(y,z) * u),w,v5) = a(x * (y * u),w,v5).
a(x * ((y * z) * u),w,v5) = a(x * ((z * y) * u),w,v5).
a(x * ((y \ z) * u),w,v5) = a(x * ((z / y) * u),w,v5).
a(x * ((y / z) * u),w,v5) = a(x * ((z \ y) * u),w,v5).
a(x * ((y / z) \ u),w,v5) = a(x * ((z \ y) \ u),w,v5).
a(x * (y * K(z,u)),w,v5) = a(x * y,w,v5).
a(x * (y * T(z,u)),w,v5) = a(x * (y * z),w,v5).
a(x * y,z,u) = a(x * L(y,w,y),z,u).
a(x * L(y,z,y),u,w) = a(x * y,u,w).
a(x * y,z,u) = a(x * R(y,w,y),z,u).
a(x * R(y,z,y),u,w) = a(x * y,u,w).
a(x * y,z,u) = a(L(y,w,y) * x,z,u).
a(L(x,y,x) * z,u,w) = a(z * x,u,w).
a(R(x * y,z,y),u,w) = a(R(x,z,y) * y,u,w).
a(x * (y * (z \ u)),w,v5) = a(x * (y * (u / z)),w,v5).
a(x * (y * (z / u)),w,v5) = a(x * (y * (u \ z)),w,v5).
a(x * ((y * z) * K(u,w)),v5,v6) = a(x * (y * T(z,v7)),v5,v6).
a((x \ (y * z)) \ (z * y),u,w) = a(x,u,w).
a(x \ (y * z),u,w) = a(x \ (z * y),u,w).
a(x \ y,z,u) = a(x \ ((w \ y) * w),z,u).
a(x \ ((y \ z) * y),u,w) = a(x \ z,u,w).
a(L(x \ y,x,z),u,w) = a((z * x) \ (y * z),u,w).
a(x * (L(x,y,z) \ u),w,v5) = a(L(x,y,z) \ (u * x),w,v5).
a(L(x,y,z) \ (u * x),w,v5) = a(x * (L(x,y,z) \ u),w,v5).
a(R(x \ y,x,z),u,w) = a((x * z) \ (z * y),u,w).
a(R(x,y,z),u,w) = a((y * z) \ (z * (y * x)),u,w).
a((x * y) \ (y * (x * z)),u,w) = a(R(z,x,y),u,w).
a(L(K(x,y) * z,y,x),u,w) = a(R(z,y,x),u,w).
a(((x \ 1) * (x * y)) * z,u,w) = a(z * L(y,x,x \ 1),u,w).
a(x * ((y / z) * u),w,v5) = a(x * (u * (z \ y)),w,v5).
a(x \ (y * (x \ 1)),z,u) = a((x \ y) * (x \ 1),z,u).
a((R((x \ y) * x,z,u) * w) * v5,v6,v7) = a(v5 * ((x * (x \ R(y,z,u))) * w),v6,v7).
a(((x \ y) \ 1) \ (y * K(x \ y,y \ x)),z,u) = a((((x \ y) \ 1) \ x) * (((x \ y) \ 1) \ 1),z,u).
a(x * ((y / x) * (y / x)),z,u) = a(((y \ x) \ 1) * y,z,u).
a(K(x,y) * ((z * x) * u),w,v5) = a((z * T(x,y)) * u,w,v5).
a(L(L(x \ y,z,u),w,v5),v6,v7) = a(L(L(y / x,z,u),w,v5),v6,v7).
a(L(L(x / y,z,u),w,v5),v6,v7) = a(L(L(y \ x,z,u),w,v5),v6,v7).
a(R(x,y,z) * R(K(u,w) * v5,y,z),v6,v7) = a(R(v5 * x,y,z),v6,v7).
a(((x * y) / z) * u,w,v5) = a(u * (z \ (T(x,v6) * y)),w,v5).
a(x * (y \ (T(z,u) * w)),v5,v6) = a(((z * w) / y) * x,v5,v6).
a(((x \ y) \ 1) * x,z,u) = a(y * ((y \ x) * (x / y)),z,u).
a(x * ((x \ y) * (y / x)),z,u) = a(((y \ x) \ 1) * y,z,u).
a((x * T(y,z)) * u,w,v5) = a((x * y) * u,w,v5).
a((x * (y \ z)) * u,w,v5) = a((x * (z / y)) * u,w,v5).
a((x * (y / z)) * u,w,v5) = a((x * (z \ y)) * u,w,v5).
a(x * (y \ (T(z,u) * w)),v5,v6) = a((y \ (z * w)) * x,v5,v6).
a(((x \ y) \ 1) * x,z,u) = a(y * ((y \ x) * (y \ x)),z,u).
a(x * ((x \ y) * (x \ y)),z,u) = a(((y \ x) \ 1) * y,z,u).
a(((x \ y) \ 1) * x,z,u) = a(((y \ x) * (y \ x)) * y,z,u).
a(((x \ y) * (x \ y)) * x,z,u) = a(((y \ x) \ 1) * y,z,u).
a(x * L(y,z,z \ 1),u,w) = a(x * ((y * z) * (1 / z)),u,w).
a(x * ((y * z) * (1 / z)),u,w) = a(x * L(y,z,z \ 1),u,w).
a(x * L(y,x,x \ 1),z,u) = a(L(x * y,x,x \ 1),z,u).
a(L(x * y,x,x \ 1),z,u) = a(x * L(y,x,x \ 1),z,u).
a(x * L(y,z,z \ 1),u,w) = a(x * ((y * z) * (z \ 1)),u,w).
a(x * ((y * z) * (z \ 1)),u,w) = a(x * L(y,z,z \ 1),u,w).
a(x * R(y,z,z \ 1),u,w) = a(x * L(y,z,z \ 1),u,w).
a(x * L(y,z,z \ 1),u,w) = a(x * R(y,z,z \ 1),u,w).
a(x * (((1 / y) * z) * y),u,w) = a(x * L(z,y,y \ 1),u,w).
a(x * (y * L(z,x,y)),u,w) = a((x * L(z,y,x)) * y,u,w).
a((x * L(y,z,x)) * z,u,w) = a(x * (z * L(y,x,z)),u,w).
a(x * (y * L(z,x,y)),u,w) = a((L(z,y,x) * x) * y,u,w).
a((L(x,y,z) * z) * y,u,w) = a(z * (y * L(x,z,y)),u,w).
a(x * (y * L(z,x,y)),u,w) = a(x * (y * R(z,x,y)),u,w).
a((x \ (K(y,z) * u)) \ w,v5,v6) = a((u / x) \ (K(z,y) * w),v5,v6).
a((((x \ y) \ y) * z) * u,w,v5) = a((z * x) * u,w,v5).
a((x * ((x \ y) / z)) * u,w,v5) = a((x * (z \ (y / x))) * u,w,v5).
a(R(x * (K(y,z) * u),w,v5),v6,v7) = a(R(u * x,w,v5),v6,v7).
((x * T(y,z)) / (x * y)) * T(x,y) = T((x * y) / x,z) * (y \ x).
K(x / (x / y),z) * T(x,y) = T((x * y) / x,z) * (y \ x).
x * (K(y / (y / x),z) * T(y,x)) = y * T(x,z).
x * (K(y * (x / y),z) * T(y,x)) = y * T(x,z).
x * T(y * K(x,z),x) = y * T(x,z).
x \ (y * T(x,z)) = T(y * K(x,z),x).
x * T(y,z) = (x * K(y,z)) * y.
(x * K(y,z)) * y = x * T(y,z).
(x * T(y,z)) / y = x * K(y,z).
a(x,y * K(z,u),z) = (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z).
(x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z).
(x * T(y \ 1,z)) / y = ((x * K(y \ 1,z)) / y) * (1 / y).
((x * K(y \ 1,z)) / y) * (1 / y) = (x * T(y \ 1,z)) / y.
(x * T(y,z)) / T(y,z) = R(x,K(y,z),y).
x / y = (x / T(y,z)) * K(y,z).
(x / T(y,z)) * K(y,z) = x / y.
K(x,y) / x = (1 / x) * K(x,y).
(1 / x) * K(x,y) = K(x,y) / x.
(x * K(y,z)) / y = (x / y) * K(y,z).
(x / y) / K(y,z) = x / T(y,z).
(x * x) * K(x \ 1,x) = x / (x \ 1).
K(x,y) * (z / y) = T(z / T(y,x),K(y,x)).
T(x / T(y,z),K(y,z)) = K(z,y) * (x / y).
T(x,y / z) = T(x,y / T(z,x)).
T(x,y / T(z,x)) = T(x,y / z).
((x \ 1) \ (x \ y)) * K(x \ 1,y) = (x \ y) / (x \ 1).
x \ (L(x,y,x) * y) = T(y * K(x,x * y),x).
T(x * K(y,y * x),y) = y \ (L(y,x,y) * x).
R(x,K(y,z),y) = x.
T(x,T(y,z)) = T(T(x,y),K(y,z)).
T(T(x,y),K(y,z)) = T(x,T(y,z)).
T(x,T(y,z)) = T(T(x,K(y,z)),y).
T(T(x,K(y,z)),y) = T(x,T(y,z)).
T(x \ y,K(x,z)) = T(y / x,T(x,z)).
T(x / y,T(y,z)) = T(y \ x,K(y,z)).
x * T(y,T(x,z)) = T(y,K(x,z)) * x.
T(x,K(y,z)) * y = y * T(x,T(y,z)).
T(x,K(y,z)) = T(x * K(y,x),T(y,z)).
T(x * K(y,x),T(y,z)) = T(x,K(y,z)).
T(T(x,y),K(z,u)) = T(T(x * K(z,x),y),T(z,u)).
T(T(x * K(y,x),z),T(y,u)) = T(T(x,z),K(y,u)).
(T(x,y) \ 1) * T((x \ 1) \ 1,T(y,z)) = K(x,K(y,z)).
x \ T(y,K(x,z)) = T(x \ y,K(x,z)).
T(x * y,K(y,z)) = T(x,K(y,z)) * y.
x \ K(y,x) = T(x \ K(y,x),K(x,z)).
T(x \ K(y,x),K(x,z)) = x \ K(y,x).
x / (y * x) = T(x / (y * x),K(y,z)).
T(x / (y * x),K(y,z)) = x / (y * x).
T(x * y,K(y,z)) / y = T(x,K(y,z)).
(K(x,y) / (K(x,y) \ z)) \ T(K(x,y),z) = z / K(x,y).
(K(x,y) / (K(y,x) * z)) \ T(K(x,y),z) = z / K(x,y).
x / K(y,z) = (1 / (K(z,y) * x)) \ K(K(y,z),x).
(1 / (K(x,y) * z)) \ K(K(y,x),z) = z / K(y,x).
(T(x,y) \ 1) * T((x \ 1) \ z,u) = T(x,y) \ T(x * z,u).
T(x,y) \ T(x * 1,T(y,z)) = K(x,K(y,z)).
T(x,y) \ T(x,T(y,z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(y,x) * K(x,T(y,z)).
K(x,y) * K(y,T(x,z)) = K(y,K(x,z)).
K(x,y) * K(x,K(y,z)) = K(x,T(y,z)).
K(x,K(y,z)) != u * K(x,T(y,z)) | K(y,x) = u.
x * K(y,T(z,u)) != K(y,K(z,u)) | K(z,y) = x.
K(x,K(y,z)) = K(z,K(y,x)).
T(x,K(y,z)) = x * K(z,K(y,x)).
x * K(y,K(z,x)) = T(x,K(z,y)).
K(x,K(y,z \ 1)) = K(K(y,x),z).
T(x,T(y,z)) * K(y,x) = T(x,K(y,z)).
T(x * K(y,K(z,x)),z) = T(x,T(z,y)).
T(x * y,K(y,z)) / y = T(x,T(y,z)) * K(y,x).
(x * T(y,T(x,z))) / x = T(y,T(x,z)) * K(x,y).
K(x,T(y,T(x,z))) = K(x,y).
R(x,y,x) \ (x * R(R(x,y,x),z,u)) = R(R(x,y,x),z,u) * (x \ L(x,y,x)).
(x / (y * x)) * ((1 / y) \ (z * (y \ 1))) = K(y \ 1,y) * (z * (x / (y * x))).
((x / ((x \ y) \ 1)) \ y) \ y = x / ((x \ y) \ 1).
R(R(x,y,x),z,u) * (x \ L(x,y,x)) = x * (R(x,y,x) \ R(R(x,y,x),z,u)).
R(R(x,y,x),z,u) * (x \ L(x,y,x)) = x * R(x \ R(x,z,u),y,x).
K(x / ((x * y) / (z * y)),u) * (x * (z * y)) = (x * y) * T(L(T(z,y),y,x),u).
x * L(R(y,z,u) \ y,1 / y,(y \ 1) \ x) = (x / (1 / y)) * R(1 / y,z,u).
K(x / ((x * y) / (z * y)),u) * (x * (z * y)) = (x * y) * L(T(T(z,y),u),y,x).
K(x / ((x * y) / (z * y)),u) * (x * (z * y)) = x * (y * T(T(z,y),u)).
K(x / ((x * y) / (z * y)),u) * (x * (z * y)) = x * (T(z,u) * y).
L(x,y,z * (T(u,w) * v5)) = L(x,y,z * (u * v5)).
(K(x,y) / (K(x,y) * z)) \ ((K(x,y) * (z * K(x,y))) / (K(x,y) * z)) = z * K(x,y).
T(K(x,y) * y,z) \ T(x * y,K(y,x)) = (K(y,x) \ y) * (T(K(y,x) \ y,z) \ x).
K(x,a(R(y,z,u),z,u)) = K(x,T(R(y,z,u) / y,(R(y,z,u) * z) * u)).
K(x,T(R(y,z,u) / y,(R(y,z,u) * z) * u)) = K(x,a(R(y,z,u),z,u)).
K(x,T(y \ R(y,z,u),(R(y,z,u) * z) * u)) = K(x,a(R(y,z,u),z,u)).
K(x,y \ R(y,z,u)) = K(x,a(R(y,z,u),z,u)).
K(x,a(R(y,z,u),z,u)) = K(x,y \ R(y,z,u)).
K(x,a(R(y,z,u),z,u)) = 1.
K(x,a(y / (z * u),z,u)) = 1.
K(x,a(y,z,u)) = 1.
T(x,a(y,z,u)) = x.
x * a(y,z,u) = a(y,z,u) * x.
a(x,y,z) * u = u * a(x,y,z).
(a(x,y,z) \ u) * a(x,y,z) = u.
T(a(x,y,z),u) = a(x,y,z).
x / a(y,z,u) = a(y,z,u) \ x.
(x * a(y,z,u)) / x = a(y,z,u).
a(x,y,z) * (u / a(x,y,z)) = u.
L(x,a(y,z,u),x) = T(x,x * a(y,z,u)).
T(x,x * a(y,z,u)) = L(x,a(y,z,u),x).
a(x,y,z) * L(u,w,v5) = L(u,w,v5) * a(x,y,z).
L(x,y,z) * a(u,w,v5) = a(u,w,v5) * L(x,y,z).
L(x \ y,x,a(z,u,w)) = (a(z,u,w) * x) \ (y * a(z,u,w)).
(x * y) / (a(z,u,w) * y) = R(a(z,u,w) \ x,a(z,u,w),y).
R(a(x,y,z) \ u,a(x,y,z),w) = (u * w) / (a(x,y,z) * w).
a(x,y,z) \ ((x * y) * z) = x * (y * z).
((x * y) * z) / (x * (y * z)) = a(x,y,z).
a(x,y,z) = ((x * y) * z) / (x * (y * z)).
T(x,a(y,z,u) / w) = T(x,w \ a(y,z,u)).
R(a(x,y,z),u,w) * v5 = v5 * R(a(x,y,z),u,w).
x / R(a(y,z,u),w,v5) = R(a(y,z,u),w,v5) \ x.
T(x,y \ ((z \ 1) \ (z \ y))) = x.
(a(x,y,z) / u) / (1 / u) = (1 / u) \ (a(x,y,z) / u).
L(x,a(y,z,u),a(y,z,u) \ 1) = (1 / a(y,z,u)) * (x * a(y,z,u)).
(1 / a(x,y,z)) * (u * a(x,y,z)) = L(u,a(x,y,z),a(x,y,z) \ 1).
K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)).
L(x \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (a(z,u,w) * y).
T(x,a(y,z,u) * (w * v5)) = T(x,w * (a(y,z,u) * v5)).
K(a(x,y,z),u) = 1.
a(x,y,z) = u \ (a(x,y,z) * u).
x \ (a(y,z,u) * x) = a(y,z,u).
a(x,y,z) = (a(x,y,z) \ u) \ u.
(a(x,y,z) \ u) \ u = a(x,y,z).
x * L(a(y,z,u),w,v5) = L(a(y,z,u),w,v5) * x.
L(a(x,y,z),u,w) * v5 = v5 * L(a(x,y,z),u,w).
x * (y * a(z,u,w)) = L(a(z,u,w),y,x) * (x * y).
L(a(x,y,z),u,w) * (w * u) = w * (u * a(x,y,z)).
L(a(x,y,z),a(x,y,z) \ u,w) = (w * (a(x,y,z) \ u)) \ (w * u).
x / L(a(y,z,u),w,v5) = L(a(y,z,u),w,v5) \ x.
(a(x,y,z) \ 1) * L(a(x,y,z),u,w) = a(x,y,z) \ L(a(x,y,z),u,w).
L(a(x,y,z),u,u \ 1) = (1 / u) * (a(x,y,z) * u).
(1 / x) * (a(y,z,u) * x) = L(a(y,z,u),x,x \ 1).
K(x,y) * (a(z,u,w) * K(y,x)) = a(z,u,w).
L(a(x,y,z) \ u,a(x,y,z),w) = (a(x,y,z) * w) \ (w * u).
T(a(x,y,z) * u,K(u,w)) = u * a(x,y,z).
(a(x,y,z) * u) * w = (u * a(x,y,z)) * w.
x * (a(y,z,u) * w) = x * (w * a(y,z,u)).
x * y != (((x * z) * u) / (x * u)) * x | y = R(z,x,u).
((a(x,y,z) * u) * w) / (a(x,y,z) * w) = R(u,a(x,y,z),w).
a(x,a(y,z,u),w) = (x * (w * a(y,z,u))) \ ((x * a(y,z,u)) * w).
(x * (y * a(z,u,w))) \ ((x * a(z,u,w)) * y) = a(x,a(z,u,w),y).
a(x,y,a(z,u,w)) = (x * (a(z,u,w) * y)) \ ((x * y) * a(z,u,w)).
(x * (a(y,z,u) * w)) \ ((x * w) * a(y,z,u)) = a(x,w,a(y,z,u)).
a(x,a(y,z,u),w) = (x * (a(y,z,u) * w)) \ ((a(y,z,u) * x) * w).
(x * (a(y,z,u) * w)) \ ((a(y,z,u) * x) * w) = a(x,a(y,z,u),w).
a(x,y,a(z,u,w)) = (x * (y * a(z,u,w))) \ (a(z,u,w) * (x * y)).
(x * (y * a(z,u,w))) \ (a(z,u,w) * (x * y)) = a(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) = (a(z,u,w) * y) \ ((y * x) * a(z,u,w)).
(a(x,y,z) * u) \ ((u * w) * a(x,y,z)) = L(w,u,a(x,y,z)).
x * a(y,z,u) != w | a(y,z,u) \ w = x.
(a(x,y,z) * u) * L(w,u,a(x,y,z)) = (u * w) * a(x,y,z).
R(a(x,y,z),u,w) * (u * w) = (u * a(x,y,z)) * w.
R(1 / a(x,y,z),a(x,y,z),u) = u / (u * a(x,y,z)).
a(x,y,z) * (x * (y * z)) = (x * y) * z.
(a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(T(w,a(x,y,z)),a(x,y,z),u).
R(x,x,a(y,z,u)) = (a(y,z,u) / (a(y,z,u) * x)) \ 1.
(x * a(y,z,u)) * w != x * (v5 * a(y,z,u)) | L(v5,a(y,z,u),x) = w.
R(x,a(y,z,u),(x * a(y,z,u)) \ w) \ w = ((x * a(y,z,u)) \ w) * a(y,z,u).
(x * T(y,a(z,u,w) * x)) * a(z,u,w) = L(y,x,a(z,u,w)) * (a(z,u,w) * x).
(x * y) \ ((x * a(z,u,w)) * y) = R(T(a(z,u,w),x * y),x,y).
((x / (x * a(y,z,u))) \ 1) * R(w,a(y,z,u),x) = R(a(y,z,u) * w,a(y,z,u),x).
((1 / x) * a(y,z,u)) * x = R(a(y,z,u),x,x \ 1).
L(a(x,y,z),u,w) \ (v5 * a(x,y,z)) = a(x,y,z) * (L(a(x,y,z),u,w) \ v5).
L(x,y,z) \ (a(u,w,v5) * x) = x * (L(x,y,z) \ a(u,w,v5)).
(a(x,y,z) * (a(x,y,z) * u)) / a(x,y,z) = L(a(x,y,z),u,a(x,y,z)) * u.
a(x,x,x) * x = R(x,x,x).
(a(x,y,z) * ((u * w) / u)) \ (u * w) = (w * a(x,y,z)) \ (w * u).
a(x,y,z) * u = u * a((x \ w) \ w,y,z).
x * a((y \ z) \ z,u,w) = a(y,u,w) * x.
a(x,y,z) * u = u * T(a(x,y,z),w).
x * T(a(y,z,u),w) = a(y,z,u) * x.
R(x,x,x) * L(y,x,a(x,x,x)) = a(x,x,x) * (x * y).
R((a(x,y,z) \ u) / w,w,a(x,y,z)) = u / (w * a(x,y,z)).
T(x,y \ (a(z,u,w) \ y)) = T(x,a(z,u,w) \ 1).
R(a(x,y,z) \ 1,u,w) \ 1 = R(a(x,y,z),u,w).
(x * (a(y,z,u) \ 1)) * a(y,z,u) = R(x,a(y,z,u),a(y,z,u) \ 1).
(x \ ((y \ 1) \ (y \ x))) * x = (y \ 1) \ (y \ x).
a(x,y,z) * u = u * ((a(x,y,z) \ w) \ w).
x * ((a(y,z,u) \ w) \ w) = a(y,z,u) * x.
L(a(x,y,z),u,a(x,y,z)) = a(x,y,z).
x * T(a(y,z,u),w) != a(y,z,u) * v5 | x = v5.
a(x,y,z) * u != w * T(a(x,y,z),v5) | w = u.
a(a(x,y,z),u,a(x,y,z)) = 1.
L(a(x,y,z),u,w) = L(L(a(x,y,z),u,w),v5,a(x,y,z)).
L(L(a(x,y,z),u,w),v5,a(x,y,z)) = L(a(x,y,z),u,w).
R(a(x,y,z),u,a(x,y,z)) = a(x,y,z).
R(x \ a(y,z,u),w,a(y,z,u)) = R(x,w,a(y,z,u)) \ a(y,z,u).
R(a(x,y,z) * u,w,a(x,y,z)) = a(x,y,z) * R(u,w,a(x,y,z)).
R(x * a(y,z,u),w,a(y,z,u)) = R(x,w,a(y,z,u)) * a(y,z,u).
T(L(x,a(y,z,u),x),w) = T(T(x,w),x * a(y,z,u)).
T(T(x,y),x * a(z,u,w)) = T(L(x,a(z,u,w),x),y).
K(x,x * a(y,z,u)) = x \ L(x,a(y,z,u),x).
x \ L(x,a(y,z,u),x) = K(x,x * a(y,z,u)).
L(x \ 1,a(y,z,u),x \ 1) = T(x \ 1,x \ a(y,z,u)).
a(x,x \ y,z) \ (y * z) = x * ((x \ y) * z).
a(x,y,(x * y) \ z) \ z = x * (y * ((x * y) \ z)).
T(x,((y * z) * u) / (w * (y * (z * u)))) = T(x,a(y,z,u) / w).
(x * (y * z)) / (y * (z * x)) = K(x,y * z) * a(y,z,x).
a(x,x \ y,z) = (y * z) / (x * ((x \ y) * z)).
(x * y) / (z * ((z \ x) * y)) = a(z,z \ x,y).
a(x / y,y,z) = (x * z) / ((x / y) * (y * z)).
(x * y) / ((x / z) * (z * y)) = a(x / z,z,y).
a(x,T(y,x),z) = ((y * x) * z) / (x * (T(y,x) * z)).
((x * y) * z) / (y * (T(x,y) * z)) = a(y,T(x,y),z).
a(x,y,T(z,y)) = ((x * y) * T(z,y)) / (x * (z * y)).
((x * y) * T(z,y)) / (x * (z * y)) = a(x,y,T(z,y)).
a(L(x,y,z),x,u) = ((x * L(x,y,z)) * u) / (L(x,y,z) * (x * u)).
((x * L(x,y,z)) * u) / (L(x,y,z) * (x * u)) = a(L(x,y,z),x,u).
a(x,L(y,z,u),y) = ((x * L(y,z,u)) * y) / (x * (y * L(y,z,u))).
((x * L(y,z,u)) * y) / (x * (y * L(y,z,u))) = a(x,L(y,z,u),y).
a(x,R(y,z,u),y) = ((x * R(y,z,u)) * y) / (x * (y * R(y,z,u))).
((x * R(y,z,u)) * y) / (x * (y * R(y,z,u))) = a(x,R(y,z,u),y).
R(R(x,y,z) / x,x,y * z) = a(x,y,z).
a(x,y,z) = R(R(x,y,z) / x,x,y * z).
T(x,x * a(x,y,z)) = T(x,((x * y) * z) / (y * z)).
T(x,((x * y) * z) / (y * z)) = T(x,x * a(x,y,z)).
a(a(x,y,z),u,w) = ((u * a(x,y,z)) * w) / (a(x,y,z) * (u * w)).
((x * a(y,z,u)) * w) / (a(y,z,u) * (x * w)) = a(a(y,z,u),x,w).
a(x,a(y,z,u),w) = ((x * a(y,z,u)) * w) / (x * (w * a(y,z,u))).
((x * a(y,z,u)) * w) / (x * (w * a(y,z,u))) = a(x,a(y,z,u),w).
a(x,y,y \ z) * (x * z) = (x * y) * (y \ z).
((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x.
a(x \ 1,y,z) = R(R(x,y,z) \ x,x \ 1,y * z).
R(R(x,y,z) \ x,x \ 1,y * z) = a(x \ 1,y,z).
a(x,y,z) = R(x \ R(x,y,z),x,y * z).
a(x,y,y \ z) = R(x \ R(x,y,y \ z),x,z).
R(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z).
R(a(x,y,z),u,w) = R(R(x \ R(x,y,z),u,w),x,y * z).
R(R(x \ R(x,y,z),u,w),x,y * z) = R(a(x,y,z),u,w).
R((x \ R(x,y,z)) \ 1,x,y * z) = a(x,y,z) \ 1.
R((x \ R(x,y,z)) \ 1,x,y * z) \ ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ a(x,y,z).
a(1 / L(x,y,x),y,x) = R((1 / L(x,y,x)) \ (1 / x),1 / L(x,y,x),y * x).
R((1 / L(x,y,x)) \ (1 / x),1 / L(x,y,x),y * x) = a(1 / L(x,y,x),y,x).
L(R(R(x \ R(x,y,z),u,x \ R(x,y,z)),x,y * z),u,x \ R(x,y,z)) = a(x,y,z).
L(a(x,y,z),x,x \ 1) = R((1 / x) * R(x,y,z),x,y * z).
R((1 / x) * R(x,y,z),x,y * z) = L(a(x,y,z),x,x \ 1).
(a(x,y,z) \ (x \ R(x,y,z))) \ 1 = (x \ R(x,y,z)) \ R(x \ R(x,y,z),x,y * z).
(x \ R(x,y,z)) \ R(x \ R(x,y,z),x,y * z) = (a(x,y,z) \ (x \ R(x,y,z))) \ 1.
a(x,y \ R(y,z,u),T(y,w)) = R(x \ R(x,y \ R(y,z,u),T(y,w)),x,R(T(y,w),z,u)).
R(x \ R(x,y \ R(y,z,u),T(y,w)),x,R(T(y,w),z,u)) = a(x,y \ R(y,z,u),T(y,w)).
T(x,y \ a(z,u,w)) = T(x,y \ (z \ R(z,u,w))).
T(x,y \ (z \ R(z,u,w))) = T(x,y \ a(z,u,w)).
T(x * a(y,z,u),K(x,w)) = x * a(y,z,u).
(a(x,y,z) * u) * K(w \ (u * a(x,y,z)),w) = (w \ (u * a(x,y,z))) * w.
a(x,y,z) * (u * a(w,v5,v6)) = (a(w,v5,v6) * u) * a(x,y,z).
a(x,x \ y,y \ z) \ z = x * ((x \ y) * (y \ z)).
(x * y) / ((x / z) * (z * y)) = a(z \ x,z,y).
a(x,y,y \ 1) = x \ R(x,y,y \ 1).
x \ R(x,y,y \ 1) = a(x,y,y \ 1).
x * a(x,y,y \ 1) = R(x,y,y \ 1).
((x / (y \ 1)) / y) \ (x / (y * (y \ 1))) = a((x / (y \ 1)) / y,y,y \ 1).
L(a(x \ y,z,z \ 1),x \ y,x) = y \ (x * R(x \ y,z,z \ 1)).
x \ (y * ((x \ y) \ 1)) = a(x,x \ y,(x \ y) \ 1).
a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)).
R(x,y,y \ 1) / x = a(x,y,y \ 1).
a(x,y,y \ 1) * x = R(x,y,y \ 1).
a(x \ 1,y,y \ 1) = R(x,y,y \ 1) \ x.
(R(x,y,y \ 1) \ x) \ 1 = a(x,y,y \ 1).
a(x,y,y \ 1) \ 1 = R(x,y,y \ 1) \ x.
R(x,y,y \ 1) \ x = a(x,y,y \ 1) \ 1.
x * a(y \ 1,z,z \ 1) = (R(y,z,z \ 1) \ y) * x.
(R(x,y,y \ 1) \ x) * z = z * a(x \ 1,y,y \ 1).
K(x,y) * a(y,z,z \ 1) = T(y,x) \ R(y,z,z \ 1).
T(x,y) \ R(x,z,z \ 1) = K(y,x) * a(x,z,z \ 1).
T(x,a(y,z,z \ 1) * u) = T(x,u).
(a(x,y,y \ 1) * z) * T(u,z) = u * (a(x,y,y \ 1) * z).
L(x,a(y,z,z \ 1),y) = R(y,z,z \ 1) \ (y * (a(y,z,z \ 1) * x)).
R(x,y,y \ 1) \ (x * (a(x,y,y \ 1) * z)) = L(z,a(x,y,y \ 1),x).
(x / (y * (y \ 1))) / ((x / (y \ 1)) / y) = a((x / (y \ 1)) / y,y,y \ 1).
L(x,y,a(y,z,z \ 1)) = R(y,z,z \ 1) \ (a(y,z,z \ 1) * (y * x)).
R(x,y,y \ 1) \ (a(x,y,y \ 1) * (x * z)) = L(z,x,a(x,y,y \ 1)).
x * a(y \ 1,z,z \ 1) = x * (R(y,z,z \ 1) \ y).
a((x \ y) \ 1,z,z \ 1) = x \ (y * R(y \ x,z,z \ 1)).
x \ (y * R(y \ x,z,z \ 1)) = a((x \ y) \ 1,z,z \ 1).
a(x \ 1,y,y \ 1) \ x = R(x,y,y \ 1).
a(x \ 1,y,y \ 1) = a(x,y,y \ 1) \ 1.
a(x \ y,x,z) \ (y * z) = (y / x) * (x * z).
a(x \ (y / z),x,z) \ y = ((y / z) / x) * (x * z).
(x * y) * R(a(z,u,w),x,y) = (a(z,u,w) * x) * y.
x * R(a(y,z,u),w,w \ x) = (a(y,z,u) * w) * (w \ x).
(L(a(x,y,z),u,w) \ v5) \ v5 = L(a(x,y,z),u,w).
T(x,y \ (R(z,u,w) \ z)) = T(x,y \ a(z \ 1,u,w)).
T(x,y \ a(z \ 1,u,w)) = T(x,y \ (R(z,u,w) \ z)).
T(x,x \ a(x,y,z)) \ R(x,y,z) = (x \ (x \ R(x,y,z))) * x.
L(T(x,y),a(z,u,w),x) = T(T(x,y),x * a(z,u,w)).
T(T(x,y),x * a(z,u,w)) = L(T(x,y),a(z,u,w),x).
((x * y) * z) / (y * (T(x,y) * z)) = a(y,x,z).
a(x,y,z) = ((y * x) * z) / (x * (T(y,x) * z)).
a(x,y,z) \ ((y * x) * z) = x * (T(y,x) * z).
a(x,R(y,z,x),R(u,z,x)) = R((y * L(x,z,x)) * u,z,x) / (x * (T(R(y,z,x),x) * R(u,z,x))).
R((x * L(y,z,y)) * u,z,y) / (y * (T(R(x,z,y),y) * R(u,z,y))) = a(y,R(x,z,y),R(u,z,y)).
a(x,y,(y * x) \ z) \ z = x * (T(y,x) * ((y * x) \ z)).
T(x,((x * y) * z) / (y * z)) = L(x,a(x,y,z),x).
T(x,R(x,y,z)) = L(x,a(x,y,z),x).
L(x,a(x,y,z),x) = T(x,R(x,y,z)).
L(x,a(x,y,z),x) = x.
R(x,a(x,y,z),x) = x.
R(1 / x,a(x,y,z),x) = 1 / x.
R(x,a(y,z,u),y) * R(y,w,v5) = R(x * R(y,w,v5),a(y,z,u),y).
R(x * R(y,z,u),a(y,w,v5),y) = R(x,a(y,w,v5),y) * R(y,z,u).
(1 / x) * (a(x,y,z) * x) = ((1 / x) * a(x,y,z)) * x.
((1 / x) * a(x,y,z)) * x = (1 / x) * (a(x,y,z) * x).
R(R(x / (y * x),z,u) \ R(1 / y,z,u),R(1 / y,z,u) \ 1,y * x) = a(R(1 / y,z,u) \ 1,y,x).
R(R(x,y,z) \ x,x,y * z) = a(x,y,z) \ 1.
T((x * a(y,z,u)) * K(T(x,w),x * a(y,z,u)),(x * a(y,z,u)) \ T(x,w)) = ((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x).
T(T(x,y),a(z,u,w) * x) = L(T(x,y),a(z,u,w),x).
R(x,x,x) * y = a(x,x,x) * (x * y).
a(x,x,x) * (x * y) = R(x,x,x) * y.
a(x,x,x) / ((x * y) \ 1) = R(x,x,x) * y.
1 / ((a(x,y,z) * u) \ 1) = R(a(x,y,z),a(x,y,z),a(x,y,z)) * u.
R(a(x,y,z),a(x,y,z),a(x,y,z)) * u = 1 / ((a(x,y,z) * u) \ 1).
K(x,y) * a(y,x,x \ 1) = y \ T((x * y) * (x \ 1),y).
x \ T((y * x) * (y \ 1),x) = K(y,x) * a(x,y,y \ 1).
K(x,y) * a(y,x,x \ 1) = ((x * y) * (x \ 1)) / y.
((1 / x) * a(x,y,z)) * x = L(a(x,y,z),x,x \ 1).
L(a(x,y,z),x,x \ 1) = R(a(x,y,z),x,x \ 1).
L((a(x,y,z) / u) \ 1,a(x,y,z),(a(x,y,z) / u) \ 1) = T((a(x,y,z) / u) \ 1,u).
((x * L(x,y,z)) * u) / L(x * u,L(x,y,z),a(L(x,y,z),x,u)) = a(L(x,y,z),x,u) * L(x,y,z).
x \ ((y * x) * (y \ 1)) = K(y,x) * a(x,y,y \ 1).
K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)).
x \ ((y * x) * (y \ 1)) = ((y * x) * (y \ 1)) / x.
((x * y) * (x \ 1)) / y = y \ ((x * y) * (x \ 1)).
L(x \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (y * a(z,u,w)).
((a(x,y,z) * u) \ (u * w)) * a(v5,v6,v7) = a(v5,v6,v7) * L(a(x,y,z) \ w,a(x,y,z),u).
a(x,y,z) * L(a(u,w,v5) \ v6,a(u,w,v5),v7) = ((a(u,w,v5) * v7) \ (v7 * v6)) * a(x,y,z).
(x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)).
R(x \ R(x,y,z),x,y * z) = L(a(x,y,z),x,x \ 1).
a(x,y,z) = L(a(x,y,z),x,x \ 1).
L(a(x,y,z),x,x \ 1) = a(x,y,z).
(1 / x) * (a(x,y,z) * x) = a(x,y,z).
a(x,y,z) = R(a(x,y,z),x,x \ 1).
R(a(x,y,z),x,x \ 1) = a(x,y,z).
(x \ 1) \ a(x,y,z) = T(a(x,y,z) * x,x \ 1).
T(a(x,y,z) * x,x \ 1) = (x \ 1) \ a(x,y,z).
a(x,y,z) / x = a(x,y,z) * (1 / x).
a(x,y,z) * (1 / x) = a(x,y,z) / x.
a(x,y,z) / (a(x,y,z) * x) = 1 / x.
a(x,y,z) / x = (1 / x) * a(x,y,z).
(1 / x) * a(x,y,z) = a(x,y,z) / x.
R(x,x,a(x,y,z)) = (1 / x) \ 1.
R(x,x,a(x,y,z)) = x.
x * R(y,x,a(x,z,u)) = R(x * y,x,a(x,z,u)).
R(x * y,x,a(x,z,u)) = x * R(y,x,a(x,z,u)).
R(x,y,a(y,z,u)) \ y = R(x \ y,y,a(y,z,u)).
R(x \ y,y,a(y,z,u)) = R(x,y,a(y,z,u)) \ y.
x * a(x \ 1,y,z) = a(x \ 1,y,z) / (x \ 1).
a(x \ 1,y,z) / (x \ 1) = x * a(x \ 1,y,z).
(x * y) \ ((x * a(z,u,w)) * y) = R(a(z,u,w),x,y).
T(x,((y * z) * u) / (w * (y * (z * u)))) = T(x,w \ a(y,z,u)).
T(x,y \ a(z,u,w)) = T(x,(z * u) / ((y * (z * (u * w))) / w)).
T(x,(y * z) / ((u * (y * (z * w))) / w)) = T(x,u \ a(y,z,w)).
T(x,y \ a(z,u,w)) = T(x,z / (((y * (z * (u * w))) / w) / u)).
T(x,y / (((z * (y * (u * w))) / w) / u)) = T(x,z \ a(y,u,w)).
T(x,y \ a(z,u,w)) = T(x,z / (y * z)).
T(x,x \ a(y,z,u)) = (x \ 1) \ 1.
T(x,y \ a(z,u,w)) = T(x,y \ 1).
T(a(x,y,z) / u,u) = ((a(x,y,z) / u) \ 1) \ 1.
(x \ a(y,z,u)) * ((x \ 1) \ 1) = a(y,z,u).
a(x,y,z) / ((u \ 1) \ 1) = u \ a(x,y,z).
T(x \ 1,x \ a(y,z,u)) = x \ 1.
a(x,y,z) / T(u,u \ 1) = u \ a(x,y,z).
T(1 / (1 / x),x \ a(y,z,u)) = x.
a(x,y,z) / T(T(u,u \ 1),w) = T(u,w) \ a(x,y,z).
T(x,y \ a(z,u,w)) = x * K(x,y \ 1).
T(x,(y \ 1) \ 1) = T(x,y * a(z,u,w)).
T(x,y * a(z,u,w)) = T(x,(y \ 1) \ 1).
T(x,x \ 1) \ R(x,y,z) = (x \ (x \ R(x,y,z))) * x.
T(x,y \ a(z,u,w)) = T(x,y \ a(v5,v6,v7)).
(a(x,y,z) * u) \ 1 = T((a(x,y,z) * u) \ 1,u \ 1).
T((a(x,y,z) * u) \ 1,u \ 1) = (a(x,y,z) * u) \ 1.
a(x,y,z) / u = (1 / (1 / u)) \ a(x,y,z).
(1 / (1 / x)) \ a(y,z,u) = a(y,z,u) / x.
K(x,y \ a(z,u,w)) = K(x,y \ 1).
((x \ a(y,z,u)) * x) \ 1 = a(y,z,u) \ K(x,x \ 1).
K(x,a(y,z,u) / w) = K(x,w \ 1).
T(x,x * a(y,z,u)) = x.
T(x,y * a(z,u,w)) = T(x,y).
T(a(x,y,z) * u,u) = a(x,y,z) * u.
T(a(x,y,z) \ u,u) = a(x,y,z) \ u.
x = L(x,a(y,z,u),x).
L(x,a(y,z,u),x) = x.
R(x,a(y,z,u),x) = x.
R(1 / x,a(y,z,u),x) = 1 / x.
R(x \ y,a(z,u,w),y) = R(x,a(z,u,w),y) \ y.
R(x * y,a(z,u,w),x) = x * R(y,a(z,u,w),x).
R(x * y,a(z,u,w),y) = R(x,a(z,u,w),y) * y.
T(T(x * a(y,z,u),w),x) = T(a(y,z,u) * x,w).
(x * a(y,z,u)) * T(w,x) = w * (x * a(y,z,u)).
T(x / (y * a(z,u,w)),y) = (y * a(z,u,w)) \ x.
K(x * a(y,z,u),w) = T(w,x) \ w.
K(x,y * a(z,u,w)) = x \ T(x,y).
T(x,a(y,z,u) \ x) = x.
T(x,a(y,z,u) * w) = T(x,w).
T(x,y) = T(x,a(z,u,w) \ y).
T(x,a(y,z,u) \ w) = T(x,w).
(a(x,y,z) * u) * T(w,u) = w * (a(x,y,z) * u).
x * T(y,a(z,u,w) * x) = y * x.
x * (T(a(y,z,u),x) * T(w,x)) = L(w,a(y,z,u),x) * (a(y,z,u) * x).
L(x,a(y,z,u),w) * (a(y,z,u) * w) = w * (T(a(y,z,u),w) * T(x,w)).
T(x,y * z) = T(x,y * (a(u,w,v5) * z)).
T(x,y * (a(z,u,w) * v5)) = T(x,y * v5).
T(x,a(y,z,u) \ 1) = x.
(a(x,y,z) \ u) * T(w,u) = w * (a(x,y,z) \ u).
T(x / (a(y,z,u) \ w),w) = (a(y,z,u) \ w) \ x.
((a(x,y,z) \ 1) * u) * T(w,u) = w * ((a(x,y,z) \ 1) * u).
(x * y) / T(a(z,u,w) * x,y) = (a(z,u,w) * x) \ (x * y).
((a(x,y,z) \ u) * w) / T(u,w) = u \ ((a(x,y,z) \ u) * w).
x * (a(y,z,u) \ 1) = (a(y,z,u) \ 1) * x.
(a(x,y,z) \ 1) * u = u * (a(x,y,z) \ 1).
T(a(x,y,z) \ 1,u) = a(x,y,z) \ 1.
x / (a(y,z,u) \ 1) = (a(y,z,u) \ 1) \ x.
((a(x,y,z) * u) \ u) * (a(x,y,z) * u) = u.
x / (a(y,z,u) * x) = (a(y,z,u) * x) \ x.
(a(x,y,z) \ u) / u = u \ (a(x,y,z) \ u).
x * a(y,z,u) = ((x * a(y,z,u)) \ x) \ x.
((x * a(y,z,u)) \ x) \ x = x * a(y,z,u).
x / (x * a(y,z,u)) = (x * a(y,z,u)) \ x.
T(x,y \ (a(z,u,w) \ y)) = x.
(x \ (a(y,z,u) \ x)) * x = a(y,z,u) \ x.
K(x,y) = K(x * a(z,u,w),y).
K(x * a(y,z,u),w) = K(x,w).
T(x * a(y,z,u),w) \ (w * (K(x,w) * v5)) = (x * a(y,z,u)) \ (w * v5).
K(a(x,y,z) * u,w) = K(u,w).
K(x,y) = K(a(z,u,w) \ x,y).
K(a(x,y,z) \ u,w) = K(u,w).
T(a(x,y,z) * u,w) = (a(x,y,z) * u) * K(u,w).
(a(x,y,z) * u) * K(u,w) = T(a(x,y,z) * u,w).
T(x * K(y,x),x * (a(z,u,w) * y)) = L(x,a(z,u,w) * y,x).
K(x,y) = K(x,y * a(z,u,w)).
K(x,y * a(z,u,w)) = K(x,y).
K(x,y * K(z,z \ 1)) = K(x,y).
K(x,a(y,z,u) * w) = K(x,w).
K(x,y) = K(x,a(z,u,w) \ y).
K(x,a(y,z,u) \ w) = K(x,w).
K(x,K(y \ 1,y) * z) = K(x,z).
K(x,(y * z) * (1 / z)) = K(x,y).
K(x,y) = K(x,L(y,z,z \ 1)).
K(x,L(y,z,z \ 1)) = K(x,y).
K(x,(1 / y) * z) = K(x,y \ z).
K(x,(1 / y) * (z * y)) = K(x,T(z,y)).
K(1 / x,(1 / x) * (y * x)) = K(x \ 1,y).
K(x,y * z) = K(x,(y \ 1) \ z).
K(x,(y \ 1) \ z) = K(x,y * z).
K(x,(y / (z * y)) * u) = K(x,R(z,z,y) \ u).
K(x,R(y,y,z) \ u) = K(x,(z / (y * z)) * u).
T((1 / x) * y,z) \ 1 = ((1 / x) * y) \ K(z,x \ y).
((1 / x) * y) \ K(z,x \ y) = T((1 / x) * y,z) \ 1.
K(x,y * z) * ((y \ 1) \ z) = ((y \ 1) \ z) * K(x,(y \ 1) \ z).
((x \ 1) \ y) * K(z,(x \ 1) \ y) = K(z,x * y) * ((x \ 1) \ y).
x * ((a(y,z,u) * x) \ w) = (w / (a(y,z,u) * x)) * x.
(x / (a(y,z,u) * w)) * w = w * ((a(y,z,u) * w) \ x).
T((R(x,y,y \ 1) \ x) \ z,z) = a(x \ 1,y,y \ 1) \ z.
T(K(x,y) * (a(z,u,w) \ 1),x) = K(x,y) * (a(z,u,w) \ 1).
a(x,y,z) / (u \ 1) = (1 / u) \ a(x,y,z).
T(x,y \ a(z,u,w)) = T(x,y \ (R(v5,v6,v7) \ v5)).
(x \ 1) * y != L(z,x \ 1,x) * (x \ 1) | y = x * (z * (x \ 1)).
L(x,a(y,z,u) \ 1,a(y,z,u)) = a(y,z,u) * (x * (a(y,z,u) \ 1)).
a(x,y,z) * (u * (a(x,y,z) \ 1)) = L(u,a(x,y,z) \ 1,a(x,y,z)).
((a(x,y,z) \ 1) * (u * a(x,y,z))) / 1 = R(u,a(x,y,z),a(x,y,z) \ 1).
((1 / x) * (a(y,z,u) \ 1)) * x = R(a(y,z,u) \ 1,x,x \ 1).
((a(x,y,z) \ 1) \ (u * a(x,y,z))) / a(x,y,z) = u / (1 / a(x,y,z)).
K(x \ 1,y) = K(x \ 1,(1 / x) * (y * x)).
K(x \ 1,(1 / x) * (y * x)) = K(x \ 1,y).
(1 / x) \ a(x \ 1,y,z) = x * a(x \ 1,y,z).
K(x \ 1,y) = K(x \ 1,T(y,x)).
K(x \ 1,T(y,x)) = K(x \ 1,y).
x \ K(x \ 1,y) = T(x \ 1,T(y,x)).
T(x \ 1,T(y,x)) = T(x \ 1,y).
((a(x,y,z) / u) \ 1) \ 1 = u \ a(x,y,z).
1 / (x \ a(y,z,u)) = (a(y,z,u) / x) \ 1.
a(x,y,z) / (u \ a(w,v5,v6)) = (a(w,v5,v6) / u) \ a(x,y,z).
R(x,a(y,z,u),w) = w * R(w \ x,a(y,z,u),w).
x * R(x \ y,a(z,u,w),x) = R(y,a(z,u,w),x).
(x * a(y,z,u)) * (x \ w) = (w / x) * (x * a(y,z,u)).
(x / y) * (y * a(z,u,w)) = (y * a(z,u,w)) * (y \ x).
(a(x,y,z) * u) * T(w,u) = w * (u * a(x,y,z)).
T((x * y) / (T(x,y) * a(z,u,w)),T(x,y)) = (x * a(z,u,w)) \ (y * x).
T(R(x * K(y,x),y,a(z,u,w)),y) = (y * a(z,u,w)) \ ((y * x) * a(z,u,w)).
(a(x,y,z) \ u) * (u \ w) = (w / u) * (a(x,y,z) \ u).
x * ((a(y,z,u) \ x) \ w) = (w / (a(y,z,u) \ x)) * x.
(x / (a(y,z,u) \ w)) * w = w * ((a(y,z,u) \ w) \ x).
T(a(x,y,z) * u,w) = a(x,y,z) * T(u,w).
T(a(x,y,z) * (u / w),w) = a(x,y,z) * (w \ u).
T(a(x,y,z) * u,w) = T(u,w) * a(x,y,z).
T(x * a(y,z,u),w) = a(y,z,u) * T(x,w).
x * (T(y,x) * a(z,u,w)) = (a(z,u,w) * y) * x.
T(x * a(y,z,u),w) = T(x,w) * a(y,z,u).
T(x,y) \ T(x * a(z,u,w),y) = a(z,u,w).
T(x * a(y,z,u),w) != v5 * a(y,z,u) | T(x,w) = v5.
T(x,x \ a(y,z,u)) = (x \ (R(w,v5,v6) \ w)) \ (R(w,v5,v6) \ w).
a(x \ 1,y,z) * x = (1 / x) \ a(x \ 1,y,z).
(1 / x) \ a(x \ 1,y,z) = a(x \ 1,y,z) * x.
(a(x,y,z) * u) * (u \ w) = (w / u) * (u * a(x,y,z)).
(x / y) * (y * a(z,u,w)) = (a(z,u,w) * y) * (y \ x).
T(a(x,y,z) * (u / w),w) != a(x,y,z) * v5 | w \ u = v5.
x \ R(a(y,z,u),x,x \ 1) = a(y,z,u) * (x \ 1).
(x * y) * L(a(z,u,w),x,y) = (a(z,u,w) * x) * y.
x \ a(x,y,z) = a(x,y,z) * (x \ 1).
a(x,y,z) * (x \ 1) = x \ a(x,y,z).
x \ L(x * (x \ a(x,y,z)),u,w) = L(a(x,y,z),u,w) * (x \ 1).
x \ a(x,y,z) = (x \ 1) * a(x,y,z).
(x \ 1) * a(x,y,z) = x \ a(x,y,z).
(x \ a(x,y,z)) \ (((x \ 1) * u) * a(x,y,z)) = L(u,x \ 1,a(x,y,z)).
(x * y) * z != (a(u,w,v5) * x) * y | z = R(a(u,w,v5),x,y).
L(a(x,y,z),u,w) = R(a(x,y,z),u,w).
x * L(a(y,z,u),w,w \ x) = (a(y,z,u) * w) * (w \ x).
(a(x,y,z) * u) * w != (u * w) * v5 | L(a(x,y,z),u,w) = v5.
L(a(x,y,z),u,w) * (u * w) = (a(x,y,z) * u) * w.
L(a(x,y,z),u,w) * R(v5,u,w) = R(a(x,y,z) * v5,u,w).
L(a(x,y,z),u,w) \ R(v5,u,w) = R(a(x,y,z) \ v5,u,w).
(a(x,y,z) * u) * w != v5 * (u * w) | L(a(x,y,z),u,w) = v5.
T(x,x \ 1) \ R(x,y,z) = (x \ 1) * R(x,y,z).
(x / y) \ ((a(z,u,w) \ y) * (y \ x)) = a(z,u,w) \ y.
T(a(x,y,z) \ u,u) * (u \ w) = (w / u) * (a(x,y,z) \ u).
L(x,a(y,z,u) * w,x) = T(x * K(w,x),x * w).
T(x * K(y,x),x * y) = L(x,a(z,u,w) * y,x).
L(x,a(y,z,u) * w,x) = L(x,w,x).
(x \ (R(y,z,u) \ y)) \ (R(y,z,u) \ y) = (x \ 1) \ 1.
x \ (R(y,z,u) \ y) = (((R(y,z,u) \ y) / x) \ 1) \ 1.
(((R(x,y,z) \ x) / u) \ 1) \ 1 = u \ (R(x,y,z) \ x).
K(x * a(y,z,u),x) = a(x,a(y,z,u),x).
a(x,a(y,z,u),x) \ w = K(x,x * a(y,z,u)) * w.
K(x,x * a(y,z,u)) * w = a(x,a(y,z,u),x) \ w.
(x * (a(y,z,u) * w)) \ (a(y,z,u) * (x * w)) = a(x,w,a(y,z,u)).
(x * y) \ (a(z,u,w) * (x * (a(z,u,w) \ y))) = a(x,a(z,u,w) \ y,a(z,u,w)).
R(x,y,a(z,u,w)) = a(z,u,w) * R(a(z,u,w) \ x,y,a(z,u,w)).
a(x,y,z) * R(a(x,y,z) \ u,w,a(x,y,z)) = R(u,w,a(x,y,z)).
((x * L(x,y,z)) * u) / (x * (L(x,y,z) * u)) = a(L(x,y,z),x,u).
((x * y) * L(y,z,u)) / (x * (y * L(y,z,u))) = a(x,L(y,z,u),y).
((x * y) * R(y,z,u)) / (x * (y * R(y,z,u))) = a(x,R(y,z,u),y).
((a(x,y,z) * u) * w) / (u * (w * a(x,y,z))) = a(u,a(x,y,z),w).
x \ L(a(x,y,z),u,w) = L(a(x,y,z),u,w) * (x \ 1).
L(a(x,y,z),u,w) * (x \ 1) = x \ L(a(x,y,z),u,w).
x \ L(a(x,y,z),u,w) = (x \ 1) * L(a(x,y,z),u,w).
(x \ 1) * L(a(x,y,z),u,w) = x \ L(a(x,y,z),u,w).
a(x,L(x,y,z),u) = a(L(x,y,z),x,u).
a(L(x,y,z),x,u) = a(x,L(x,y,z),u).
a(x,y,L(y,z,u)) = a(x,L(y,z,u),y).
a(x,L(y,z,u),y) = a(x,y,L(y,z,u)).
a(x,y,R(y,z,u)) = a(x,R(y,z,u),y).
a(x,R(y,z,u),y) = a(x,y,R(y,z,u)).
(a(x,y,z) \ 1) * (u * a(x,y,z)) = L(u,a(x,y,z),a(x,y,z) \ 1).
a(x,y,z) * (u * (a(x,y,z) \ 1)) = R(u,a(x,y,z),a(x,y,z) \ 1).
R(x,a(y,z,u),a(y,z,u) \ 1) = L(x,a(y,z,u) \ 1,a(y,z,u)).
L(x,a(y,z,u) \ 1,a(y,z,u)) = R(x,a(y,z,u),a(y,z,u) \ 1).
L(x,a(y,z,u),w) * (a(y,z,u) * w) = w * (a(y,z,u) * T(x,w)).
L(x,a(y,z,u),w) * (a(y,z,u) * w) = w * T(a(y,z,u) * x,w).
L(x,a(y,z,u),w) * (a(y,z,u) * w) = (a(y,z,u) * x) * w.
x / (1 / a(y,z,u)) = a(y,z,u) \ ((a(y,z,u) \ 1) \ (x * a(y,z,u))).
a(x,y,z) \ ((a(x,y,z) \ 1) \ (u * a(x,y,z))) = u / (1 / a(x,y,z)).
a(x,y,z) \ ((a(x,y,z) \ 1) \ u) = (a(x,y,z) \ u) / (1 / a(x,y,z)).
(a(x,y,z) \ u) / (1 / a(x,y,z)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ u).
(a(x,y,z) \ u) / (a(x,y,z) \ 1) = a(x,y,z) \ ((a(x,y,z) \ 1) \ u).
a(x,y,z) \ ((a(x,y,z) \ 1) \ u) = (a(x,y,z) \ 1) \ (a(x,y,z) \ u).
(a(x,y,z) \ 1) \ (a(x,y,z) \ u) = a(x,y,z) \ ((a(x,y,z) \ 1) \ u).
(a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(w,a(x,y,z),u).
(x \ a(x,y,z)) \ ((x \ 1) * (u * a(x,y,z))) = L(u,a(x,y,z),x \ 1).
((x / (y \ 1)) / y) \ (x / 1) = a((x / (y \ 1)) / y,y,y \ 1).
a((x / (y \ 1)) / y,y,y \ 1) = ((x / (y \ 1)) / y) \ (x / 1).
a((x / (y \ 1)) / y,y,y \ 1) = ((x / (y \ 1)) / y) \ x.
((x / (y \ 1)) / y) \ x = a(y \ (x / (y \ 1)),y,y \ 1).
a(x \ (y / (x \ 1)),x,x \ 1) = ((y / (x \ 1)) / x) \ y.
(x / 1) / ((x / (y \ 1)) / y) = a((x / (y \ 1)) / y,y,y \ 1).
a((x / (y \ 1)) / y,y,y \ 1) = (x / 1) / ((x / (y \ 1)) / y).
a((x / (y \ 1)) / y,y,y \ 1) = x / ((x / (y \ 1)) / y).
x / ((x / (y \ 1)) / y) = a(y \ (x / (y \ 1)),y,y \ 1).
a(x \ (y / (x \ 1)),x,x \ 1) = y / ((y / (x \ 1)) / x).
L(x,a(y,z,u),a(y,z,u) \ 1) / 1 = R(x,a(y,z,u),a(y,z,u) \ 1).
R(x,a(y,z,u),a(y,z,u) \ 1) = L(x,a(y,z,u),a(y,z,u) \ 1).
L(x,a(y,z,u),a(y,z,u) \ 1) = R(x,a(y,z,u),a(y,z,u) \ 1).
x \ L(x,a(y,z,u),a(y,z,u) \ 1) = a(x,a(y,z,u),a(y,z,u) \ 1).
a(x \ 1,a(y,z,u),a(y,z,u) \ 1) = L(x,a(y,z,u),a(y,z,u) \ 1) \ x.
L(x,a(y,z,u) \ 1,a(y,z,u)) = L(x,a(y,z,u),a(y,z,u) \ 1).
R(T(x * K(y,x),y),y,a(z,u,w)) = (y * a(z,u,w)) \ ((y * x) * a(z,u,w)).
a(x \ 1,a(y,z,u),a(y,z,u) \ 1) = a(a(y,z,u) \ 1,a(y,z,u),x).
R(x,y,a(z,u,w)) = (y * a(z,u,w)) \ ((y * x) * a(z,u,w)).
(x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = R(w,x,a(y,z,u)).
R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) = R(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) * R(v5,y,a(z,u,w)) = R(x * v5,y,a(z,u,w)).
R(1 / x,y,a(z,u,w)) = 1 / L(x,y,a(z,u,w)).
L(1 / x,y,a(z,u,w)) \ 1 = R(x,y,a(z,u,w)).
R(x \ 1,y,a(z,u,w)) = L(x,y,a(z,u,w)) \ 1.
L(x,y,a(z,u,w)) \ R(v5,y,a(z,u,w)) = R(x \ v5,y,a(z,u,w)).
R(x \ K(y,z),u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)) \ K(y,z).
L(x / y,z,a(u,w,v5)) \ (x / y) = y \ (x * R(x \ y,z,a(u,w,v5))).
L((a(x,y,z) \ u) / w,w,a(x,y,z)) = u / (w * a(x,y,z)).
L(x,x,a(x,y,z)) = x.
R(x * y,x,a(x,z,u)) = x * L(y,x,a(x,z,u)).
R(x \ y,y,a(y,z,u)) = L(x,y,a(y,z,u)) \ y.
R(x \ a(y,z,u),w,a(y,z,u)) = L(x,w,a(y,z,u)) \ a(y,z,u).
R(x * a(y,z,u),w,a(y,z,u)) = L(x,w,a(y,z,u)) * a(y,z,u).
a(x,y,z) * R(a(x,y,z) \ u,w,a(x,y,z)) = L(u,w,a(x,y,z)).
L(x,y,z) = L(L(x,y,z),x,a(x,u,w)).
L(L(x,y,z),x,a(x,u,w)) = L(x,y,z).
L(1 / x,y,a(z,u,w)) = 1 / L(x,y,a(z,u,w)).
L(x \ 1,y,a(z,u,w)) = L(x,y,a(z,u,w)) \ 1.
L(x * y,x,a(x,z,u)) = x * L(y,x,a(x,z,u)).
L(x \ y,y,a(y,z,u)) = L(x,y,a(y,z,u)) \ y.
x * L(x \ 1,y,a(z,u,w)) = L(x,y,a(z,u,w)) \ x.
L(x * (x \ (a(x,y,z) \ u)),x,a(x,y,z)) = x * ((a(x,y,z) * x) \ u).
L(L(x,y,z) \ x,x,a(x,u,w)) = L(x,y,z) \ x.
L(x \ K(y,z),u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)) \ K(y,z).
L(x,y,a(z,u,w)) * L(v5,y,a(z,u,w)) = R(x * v5,y,a(z,u,w)).
L(x,y,a(z,u,w)) \ L(v5,y,a(z,u,w)) = R(x \ v5,y,a(z,u,w)).
L(x \ a(y,z,u),w,a(y,z,u)) = L(x,w,a(y,z,u)) \ a(y,z,u).
a(x,y,z) * L(u,w,a(x,y,z)) = R(u * a(x,y,z),w,a(x,y,z)).
R(x * a(y,z,u),w,a(y,z,u)) = a(y,z,u) * L(x,w,a(y,z,u)).
a(x,y,z) * L(a(x,y,z) \ u,w,a(x,y,z)) = L(u,w,a(x,y,z)).
L(x * y,z,a(u,w,v5)) = L(x,z,a(u,w,v5)) * L(y,z,a(u,w,v5)).
L(x,y,a(z,u,w)) * L(v5,y,a(z,u,w)) = L(x * v5,y,a(z,u,w)).
L(x \ y,z,a(u,w,v5)) = L(x,z,a(u,w,v5)) \ L(y,z,a(u,w,v5)).
L(x,y,a(z,u,w)) \ L(v5,y,a(z,u,w)) = L(x \ v5,y,a(z,u,w)).
L(x * a(y,z,u),w,a(y,z,u)) = a(y,z,u) * L(x,w,a(y,z,u)).
L(x,y,a(z,u,w)) != a(z,u,w) * v5 | L(a(z,u,w) \ x,y,a(z,u,w)) = v5.
L(a(x,y,z) \ u,x,a(x,y,z)) = x * ((a(x,y,z) * x) \ u).
((x * a(y,z,u)) \ w) * a(y,z,u) = a(y,z,u) * ((x * a(y,z,u)) \ w).
((a(x,y,z) * u) \ w) * a(x,y,z) = a(x,y,z) * ((u * a(x,y,z)) \ w).
(x * y) * a(z,u,w) = L(x,y,a(z,u,w)) * (a(z,u,w) * y).
L(x,y,a(z,u,w)) * (a(z,u,w) * y) = (x * y) * a(z,u,w).
(x * y) * a(z,u,w) != v5 * (a(z,u,w) * y) | L(x,y,a(z,u,w)) = v5.
(x \ y) * R(K(x,x \ y) * ((y / x) \ z),u,w) = R(z / (y / x),u,w) * (y / x).
a((R((x \ y) * x,z,u) * w) * v5,v6,v7) = a(v5 * (R(y,z,u) * w),v6,v7).
(K(x,y) / (K(x,y) * z)) \ (K(x,y) * ((z * K(x,y)) / (K(x,y) * z))) = z * K(x,y).
T(K(x,y) * y,z) \ (x * y) = (K(y,x) \ y) * (T(K(y,x) \ y,z) \ x).
(K(x,y) \ x) * (T(K(x,y) \ x,z) \ y) = T(K(y,x) * x,z) \ (y * x).
(K(x,y) * y) * (T(K(y,x) \ y,z) \ x) = T(K(x,y) * y,z) \ (x * y).
(K(x,y) * y) * (T(K(x,y) * y,z) \ x) = T(K(x,y) * y,z) \ (x * y).
T(K(x,y) * y,z) \ (x * y) = K(z,K(x,y) * y) * x.
T(x * K(y,x),z) \ (y * x) = K(z,K(y,x) * x) * y.
T(x * K(y,x),z) \ (y * x) = K(z,x * K(y,x)) * y.
K(x,y * K(z,y)) * z = (z * y) / T(y,x).
x / ((x * y) / T(y,z)) = K(y * K(x,y),z).
K(x,T(y,z \ y)) * z = (z * y) / T(y,x).
x / ((x * y) / T(y,z)) = K(T(y,x \ y),z).
K(T(x,y \ x),z) = K(x * K(y,x),z).
(x \ y) * R((x \ y) \ z,u,w) = R(z / (y / x),u,w) * (y / x).
R(x / (y / z),u,w) * (y / z) = (z \ y) * R((z \ y) \ x,u,w).
(x \ y) * R((x \ y) \ z,u,w) = (y / x) * R((y / x) \ z,u,w).
(x / y) * R((x / y) \ z,u,w) = (y \ x) * R((y \ x) \ z,u,w).
(K(x,y) / (K(x,y) * z)) \ (K(x,y) * K(z,K(x,y))) = z * K(x,y).
x * K(y,z) = (1 / (K(y,z) * x)) \ K(x,K(y,z)).
(1 / (K(x,y) * z)) \ K(z,K(x,y)) = z * K(x,y).
L(x,y,x) \ R(L(x,y,x),z,u) = ((y * x) / y) \ R((y * x) / y,z,u).
((x * y) / x) \ R((x * y) / x,z,u) = L(R(y,z,u) \ y,x,y) \ 1.
L(R(x,y,z) \ x,u,x) \ 1 = ((u * x) / u) \ R((u * x) / u,y,z).
L(R(x,y,z) \ x,u,x) \ 1 = (u \ (u * x)) \ R(u \ (u * x),y,z).
L(R(x,y,z) \ x,u,x) \ 1 = x \ R(u \ (u * x),y,z).
L(R(x,y,z) \ x,u,x) \ 1 = x \ R(x,y,z).
L(x,y,x) \ L(R(x,z,u),y,x) = x \ R(x,z,u).
R(x \ R(x,y,z),u,x) = x \ R(x,y,z).
(x \ R(x,y,z)) * (u * x) = ((x \ R(x,y,z)) * u) * x.
((x \ R(x,y,z)) * u) * x = (x \ R(x,y,z)) * (u * x).
R(x \ (y / ((x \ 1) * y)),z,x) = x \ R(x,x \ 1,y).
(x \ R(x,y,z)) \ x = ((x \ R(x,y,z)) \ 1) * x.
((x \ R(x,y,z)) \ 1) * x = (x \ R(x,y,z)) \ x.
R((x \ R(x,y,z)) \ 1,u,x) = (x \ R(x,y,z)) \ 1.
R(x,y,z) \ (z \ R(z,u,w)) = R(x \ (z \ R(z,u,w)),y,z).
R(x \ (y \ R(y,z,u)),w,y) = R(x,w,y) \ (y \ R(y,z,u)).
R(R(x,y,x),z,u) * (x \ L(x,y,x)) = x * (x \ R(x,z,u)).
a(x * y,x,y) = (x * y) \ R(x * y,x,y).
(x * y) \ R(x * y,x,y) = a(x * y,x,y).
x \ R(x,y,y \ x) = a(x,y,y \ x).
x * a(x,y,y \ x) = R(x,y,y \ x).
x \ R(x,x * y,L(y \ 1,y,x)) = a(x,x * y,(x * y) \ x).
a(x,y,y \ x) \ 1 = R(x,y,y \ x) \ x.
R(x,y,y \ x) \ x = a(x,y,y \ x) \ 1.
R(((1 / x) / y) * (y * x),y,x) = a(y * x,y,x).
a(x * y,x,y) \ 1 = R(x * y,x,y) \ (x * y).
R(x * y,x,y) \ (x * y) = a(x * y,x,y) \ 1.
L(x,y,x) \ x = x \ R(x,y,x).
L(x \ (y \ R(y,z,y)),x,y) = (L(y,z,y) * x) \ y.
(R(x,y,z) \ x) * x = (x \ R(x,y,z)) \ x.
(x \ R(x,y,z)) \ x = (R(x,y,z) \ x) * x.
a(x,y,y \ 1) \ x = (R(x,y,y \ 1) \ x) * x.
(R(x,y,y \ 1) \ x) * x = a(x,y,y \ 1) \ x.
R((((1 / x) / y) * (y * x)) \ 1,y,x) = a(y * x,y,x) \ 1.
a(x \ 1,y,y \ 1) * x = a(x,y,y \ 1) \ x.
a(x,y,y \ 1) \ x = x * a(x \ 1,y,y \ 1).
x * a(x \ 1,y,y \ 1) = a(x,y,y \ 1) \ x.
R(R(x,y,z) \ x,u,x) = (x \ R(x,y,z)) \ 1.
R(R(x,y,z) \ x,u,x) = R(x,y,z) \ x.
(R(x,y,z) \ x) * (u * x) = ((R(x,y,z) \ x) * u) * x.
((R(x,y,z) \ x) * u) * x = (R(x,y,z) \ x) * (u * x).
R((x \ y) * (y \ x),z,x) = R(x,x \ y,y \ x) \ x.
x * ((R(x,y,z) \ x) / x) = R(x * R(1 / x,y,z),u,x).
R(x * R(1 / x,y,z),u,x) = x * ((R(x,y,z) \ x) / x).
R(x * y,x,y) \ (x * y) = a((x * y) \ 1,x,y).
R(x * L(y,x,y),T(x,y),T(y,x * y)) \ (T(x,y) * T(y,x * y)) = a((T(x,y) * T(y,x * y)) \ 1,T(x,y),T(y,x * y)).
a((x * y) \ 1,x,y) = a(x * y,x,y) \ 1.
a((x * (x \ y)) \ 1,x,x \ y) = a(y,x,x \ y) \ 1.
a(((x \ y) * x) \ 1,x \ y,x) = a(y,x \ y,x) \ 1.
a((x * y) \ 1,x,y) \ 1 = a(x * y,x,y).
(L(x,y,x) * z) \ x = (x * z) \ R(x,y,x).
L(x,y,x \ R(x,z,u)) = x.
L(x,y,x \ (z / ((x \ 1) * z))) = x.
(x \ R(x,y,z)) * (u * T(x,(x \ R(x,y,z)) * u)) = x * ((x \ R(x,y,z)) * u).
L(1 / x,y,R(x,z,u) \ x) = 1 / x.
L(x \ 1,y,R(x,z,u) \ x) = x \ 1.
L(x,y,a(x,z,z \ 1)) = x.
a(x,y,y \ 1) * (z * T(x,a(x,y,y \ 1) * z)) = x * (a(x,y,y \ 1) * z).
x = R(x,y,a(x,z,z \ 1)).
R(x,y,a(x,z,z \ 1)) = x.
(R(x,y,z) \ x) \ (1 / x) = ((R(x,y,z) \ x) \ 1) * (1 / x).
((R(x,y,z) \ x) \ 1) * (1 / x) = (R(x,y,z) \ x) \ (1 / x).
(R(x,y,z) \ x) \ (x \ 1) = ((R(x,y,z) \ x) \ 1) * (x \ 1).
((R(x,y,z) \ x) \ 1) * (x \ 1) = (R(x,y,z) \ x) \ (x \ 1).
L(x,y,R(x,z,u) \ x) = x.
L(x,y,z * ((x * z) \ x)) = x.
(R(x,y,z) \ x) * (u * T(x,(R(x,y,z) \ x) * u)) = x * ((R(x,y,z) \ x) * u).
L(x \ 1,y,x \ R(x,z,u)) = x \ 1.
L(x \ 1,y,z) = L(L(x \ 1,y,z),u,x \ R(x,w,v5)).
L(L(x \ 1,y,z),u,x \ R(x,w,v5)) = L(x \ 1,y,z).
R((x \ y) * (y \ x),z,x) = (x \ y) * (y \ x).
R((x \ y) * (y \ x),z,x) != (x \ y) * u | y \ x = u.
a(x \ 1,y,y \ x) = a(x,y,y \ x) \ 1.
a(x \ 1,y,y \ x) \ 1 = a(x,y,y \ x).
R(x * R(1 / x,y,z),u,x) = x * R(1 / x,y,z).
R(x * ((x \ y) / y),z,x) = x * R(1 / x,x,x \ y).
x \ R(x * ((x \ y) / y),z,x) = R(1 / x,x,x \ y).
R(R(x,y,x),z,u) * (x \ L(x,y,x)) = R(x,z,u).
a((x * y) \ 1,x,y) = R((((1 / y) / x) * (x * y)) \ 1,x,y).
R((((1 / x) / y) * (y * x)) \ 1,y,x) = a((y * x) \ 1,y,x).
(x \ R(x,y,z)) * (1 / x) = (R(x,y,z) \ x) \ (1 / x).
(R(x,y,z) \ x) \ (1 / x) = (x \ R(x,y,z)) * (1 / x).
(R(x,y,z) \ x) \ (1 / x) = (x \ R(x,y,z)) / x.
(x \ R(x,y,z)) * (x \ 1) = (R(x,y,z) \ x) \ (x \ 1).
(R(x,y,z) \ x) \ (x \ 1) = (x \ R(x,y,z)) * (x \ 1).
(R(x,y,z) \ x) \ (x \ 1) = x \ (x \ R(x,y,z)).
(x \ R(x,y,z)) * (u * T(x,u)) = x * ((x \ R(x,y,z)) * u).
(x \ R(x,y,z)) * (x * u) = x * ((x \ R(x,y,z)) * u).
a(x,y,y \ 1) * (x * z) = x * (a(x,y,y \ 1) * z).
R(x,y,y \ 1) \ (x * (a(x,y,y \ 1) * z)) = L(z,x,a(x,y,y \ 1)).
L(x,y,a(y,z,z \ 1)) = L(x,a(y,z,z \ 1),y).
L(x,a(y,z,z \ 1),y) = L(x,y,a(y,z,z \ 1)).
(R(x,y,z) \ x) * (x * u) = x * ((R(x,y,z) \ x) * u).
K(R(x,y,z) \ R(((u / z) / y) \ x,y,z),w) = K(T((u / (y * z)) \ 1,x),w).
K(R(x,y,z) \ R(((u / z) / y) \ x,y,z),w) = K(T((y * z) / u,x),w).
K(R(x \ (((y / z) / u) \ x),u,z),w) = K(T((u * z) / y,x),w).
K(T((x * y) / z,u),w) = K(u \ (((z / y) / x) \ u),w).
K(x \ (((y / z) / u) \ x),w) = K(T((u * z) / y,x),w).
K(T((x * y) / z,u),w) = K(T(x / (z / y),u),w).
K(T((1 / x) / (y / z),x \ z),u) = K(y \ ((1 / x) * z),u).
K(x \ ((1 / y) * z),u) = K(T(1 / ((x / z) * y),y \ z),u).
K(T(1 / ((x / y) * z),z \ y),u) = K(x \ ((1 / z) * y),u).
K(x \ ((1 / y) * z),u) = K(T(((x / z) * y) \ 1,y \ z),u).
K(T(((x / y) * z) \ 1,z \ y),u) = K(x \ ((1 / z) * y),u).
K(T(((x / y) * z) \ 1,z \ y),u) = K((x \ (1 / z)) * y,u).
T(x,(y * (z * u)) / ((y * z) * u)) = T(x,((y * z) * u) \ (y * (z * u))).
T(x,((y * z) * u) \ (y * (z * u))) = T(x,y / (((y * z) * u) / (z * u))).
T(x,y / (((y * z) * u) / (z * u))) = T(x,((y * z) * u) \ (y * (z * u))).
T(x,y / R(y,z,u)) = T(x,((y * z) * u) \ (y * (z * u))).
T(x,((y * z) * u) \ (y * (z * u))) = T(x,y / R(y,z,u)).
L(R(x \ R(x,y,z),x,y * z),u,x \ R(x,y,z)) = a(x,y,z).
L(a(x,y,z),u,x \ R(x,y,z)) = a(x,y,z).
(x \ R(x,y,z)) \ a(x,y,z) = ((x \ R(x,y,z)) \ 1) * a(x,y,z).
((x \ R(x,y,z)) \ 1) * a(x,y,z) = (x \ R(x,y,z)) \ a(x,y,z).
R(x,y,z) / a(x,y,z) = (R(x,y,z) / x) * (x / a(x,y,z)).
(R(x,y,z) / x) * (x / a(x,y,z)) = R(x,y,z) / a(x,y,z).
(R(x,y,z) / x) * (x / a(x,y,z)) = a(x,y,z) \ R(x,y,z).
(x \ R(x,y,z)) * (x / a(x,y,z)) = a(x,y,z) \ R(x,y,z).
(x \ R(x,y,z)) * (a(x,y,z) \ x) = a(x,y,z) \ R(x,y,z).
(R(x,y,z) \ x) * a(x,y,z) = (x \ R(x,y,z)) \ a(x,y,z).
(x \ R(x,y,z)) \ a(x,y,z) = (R(x,y,z) \ x) * a(x,y,z).
(x \ R(x,y,z)) \ a(x,y,z) = (a(x,y,z) \ (x \ R(x,y,z))) \ 1.
(a(x,y,z) \ (x \ R(x,y,z))) \ 1 = (x \ R(x,y,z)) \ a(x,y,z).
(a(x,y,z) \ (x \ R(x,y,z))) \ 1 = (R(x,y,z) \ x) * a(x,y,z).
L(x \ K(x \ 1,y),x,z / (x * z)) = (x * R(x \ 1,x,z)) \ T(z / (x * z),y).
(x * R(x \ 1,x,y)) \ T(y / (x * y),z) = L(x \ K(x \ 1,z),x,y / (x * y)).
(x * R(x \ 1,x,y)) \ T(y / (x * y),z) = L(T(x \ 1,z),x,y / (x * y)).
(x * R(x \ 1,x,y)) \ T(y / (x * y),z) = L(T(x \ 1,z),x,(x * y) \ y).
(x * R(x \ 1,x,y)) \ T(y / (x * y),z) = T(1 / x,z).
(R(x,x,y) \ x) \ T(y / (x * y),z) = T(1 / x,z).
R(x,y,z) / R((R(x,u,x) \ x) \ x,y,z) = R(x,u,x) \ x.
R(x,y,z) / R(R(x,u,x),y,z) = R(x,u,x) \ x.
R(x,y,x) \ x = R(x / R(x,y,x),z,u).
R(x / R(x,y,x),z,u) = R(x,y,x) \ x.
R(x \ L(x,y,x),z,u) = R(x,y,x) \ x.
R(x \ L(x,y,x),z,u) = x \ L(x,y,x).
L(x,y,x) \ (((x \ L(x,y,x)) \ (x \ L(x,y,x))) * x) = R(((x \ L(x,y,x)) * x) \ x,z,u).
R(((x \ L(x,y,x)) * x) \ x,z,u) = L(x,y,x) \ (((x \ L(x,y,x)) \ (x \ L(x,y,x))) * x).
(a(x,y,z) \ 1) \ ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ a(x,y,z).
(a(x,y,z) \ 1) \ (R(x,y,z) \ x) = (x \ R(x,y,z)) \ a(x,y,z).
(a(x,y,z) \ 1) \ (R(x,y,z) \ x) = (R(x,y,z) \ x) * a(x,y,z).
R(((x \ L(x,y,x)) * x) \ x,z,u) = L(x,y,x) \ (1 * x).
R(((x \ L(x,y,x)) * x) \ x,z,u) = L(x,y,x) \ x.
R(((x \ L(x,y,x)) * x) \ x,z,u) = x \ R(x,y,x).
R(L(x,y,x) \ x,z,u) = x \ R(x,y,x).
R(x \ R(x,y,x),z,u) = x \ R(x,y,x).
a(x,y,x) = x \ R(x,y,x).
x \ R(x,y,x) = a(x,y,x).
x * a(x,y,x) = R(x,y,x).
a(x,y,x) * x = R(x,y,x).
a(x \ 1,y,x \ 1) = R(x,y,x \ 1) \ x.
K(x,y) * K(x * y,x) = a(x,y,x).
a(x,y,x) * L(x,y,x) = x.
L(x,y,x) \ x = a(x,y,x).
a(x,y,x) \ x = L(x,y,x).
x / L(y \ L(x,z,x),y,a(x,z,x)) = a(x,z,x) * y.
x = L(x,y,x) * a(x,y,x).
L(x,y,x) * a(x,y,x) = x.
x \ a(x,y,x) = L(x,y,x) \ 1.
L(x,y,x) \ 1 = x \ a(x,y,x).
L(a(x,y,x) \ T(z,L(x,y,x)),a(x,y,x),L(x,y,x)) = x \ (z * L(x,y,x)).
T(x \ a(x,y,x),L(x,y,x)) = (L(x,y,x) * L(x,y,x)) \ L(x,y,x).
(L(x,y,x) * L(x,y,x)) \ L(x,y,x) = T(x \ a(x,y,x),L(x,y,x)).
R(x \ a(x,y,x),y,x) = x \ 1.
x / T(L(y,z,y) \ 1,y * x) = (y \ a(y,z,y)) \ x.
R(T(x \ a(x,y,x),z),y,x) = T(x \ 1,z).
K(x,y) * a(y,x,y) = K(y * x,y).
K(x,y) * z != a(u,w,v5) | z = a(u,w,v5) * K(y,x).
K(x * y,x) = a(x,y,x) * K(y,x).
a(x,y,x) * K(y,x) = K(x * y,x).
K(x,x \ y) * K(y,x) = a(x,x \ y,x).
L(x,y,a(z,u,z)) = L(x,y,K(z,u)).
K(x,y) * a(y,R(x,z,u),y) = K(y * R(x,z,u),y).
K(x * R(y,z,u),x) = K(y,x) * a(x,y,x).
K(x,K(y * z,y)) = K(x,K(z,y)).
K(x,K(y,z)) = K(x,K(z \ y,z)).
K(x,K(y \ z,y)) = K(x,K(z,y)).
K(x,K(y \ 1,z * y)) = K(x,K(z,z * y)).
a(R(x,y,z),u,R(x,y,z)) * K(u,R(x,y,z)) = K(R(x,y,z) * u,x).
L(x,y,a(z,u,z)) = x.
a(a(x,y,x),z,u) = 1.
(a(x,y,x) * z) * u = a(x,y,x) * (z * u).
x \ (a(y,z,y) \ u) = (a(y,z,y) * x) \ u.
(a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u).
x * y = a(z,u,z) * ((a(z,u,z) \ x) * y).
a(x,y,x) * ((a(x,y,x) \ z) * u) = z * u.
(a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u).
x \ y = (a(z,u,z) * x) \ (y * a(z,u,z)).
(a(x,y,x) * z) \ (u * a(x,y,x)) = z \ u.
x = R(x,y,a(z,u,z)).
R(x,y,a(z,u,z)) = x.
(a(x,y,x) \ z) / u = z / (u * a(x,y,x)).
x * (y * a(z,u,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)) = (x \ y) * a(z,u,z).
a(x,x \ y,x) = K(y,x) * K(x,x \ y).
K(x,y) * K(y,y \ x) = a(y,y \ x,y).
(K(x,x \ y) * T(y,x)) / y = a(x,x \ y,x).
a(x \ 1,y,x \ 1) \ x = R(x,y,x \ 1).
a(x \ 1,y,x \ 1) \ 1 = x \ R(x,y,x \ 1).
K(x,K(y \ 1,z * y)) = K(x,K(z,y)).
K(x,K(y,z)) = K(x,K(z \ 1,y)).
K(x,K(y \ 1,z)) = K(x,K(z,y)).
K(x,K(y,z)) = K(x,K(z,y \ 1)).
K(x,K(y,z \ 1)) = K(x,K(z,y)).
K(x,K(y,z)) = K(y,K(z \ 1,x)).
K(x,K(y \ 1,z)) = K(z,K(x,y)).
K(x,K(y,z)) = K(K(z,x),y).
K(K(x,y),z) = K(y,K(z,x)).
K(x,y) * K(T(y,z),x) = K(x,K(z,y)).
(1 / (K(x,y) * z)) \ K(x,K(z,y)) = z / K(y,x).
K(x,K(y,z)) = K(y,K(x,z)).
T(x,K(y,z)) = x * K(y,K(x,z)).
x * K(y,K(x,z)) = T(x,K(y,z)).
K(x,K(y,y \ z)) = K(y,K(x,z)).
K(x,K(y,z / x)) = K(y,K(x,z)).
K(x,K(y,z)) = K(z,K(x,y)).
x * K(y,K(z,x)) = T(x,K(y,z)).
(1 / (K(x,y) * z)) \ K(x,K(z,y)) = z * K(x,y).
K(K(x,y),z) = K(z,K(y,x)).
T(x,K(y,z)) = K(y,K(z,x)) * x.
K(x,K(y,z)) * z = T(z,K(x,y)).
K(x,K(y,z)) = K(x,K(z,y)).
x * K(x,K(y,z)) = T(x,K(z,y)).
K(x,y) * K(z,K(x,y)) = K(x,T(y,z)).
K(K(x,y),z) = K(x,K(y,z)).
K(x,K(y,z \ 1)) = K(x,K(y,z)).
K(x,K(y \ 1,z)) = K(x,K(y,z)).
T(K(x,y),z) = K(z,K(y,x)) * K(x,y).
K(x,K(y,z)) * K(z,y) = T(K(z,y),x).
T(K(x,y),z) = K(x,y) * K(z,K(y,x)).
K(x,y) * K(z,K(y,x)) = T(K(x,y),z).
T(x,K(y,z)) = x * K(K(z,y),x).
x * K(K(y,z),x) = T(x,K(z,y)).
K(x,y) * K(T(y,z),x) = K(z,K(x,y)).
K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u.
K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u.
K(x,K(y,z)) * K(u,T(z,K(x,y))) = z / T(T(z,K(x,y)),u).
T(x,y) * K(z,K(T(x,y),u)) = T(T(x,K(z,u)),y).
T(x,y * T(z,K(x,u))) = T(x,y * z).
K(x,K(y,z)) = K(x,K(y,x \ z)).
K(x,K(y,x \ z)) = K(x,K(y,z)).
x * K(x,K(y,z)) = T(x,K(y,x \ z)).
T(x,K(y,x \ z)) = x * K(x,K(y,z)).
K(x,K(y,z / x)) = K(x,K(y,z)).
K(x,K(y,z / x)) = K(z,K(y,x)).
T(x,K(y,z)) = T(x,K(z,y)).
T(T(x,K(y,z)),z) = T(x,T(z,y)).
T(K(x,y) * z,K(y,x)) = z * K(x,y).
T(T(K(x,y) * z,u),K(y,x)) = T(z * K(x,y),u).
K(x,y) * (z * K(y,x)) = T(z,K(x,y)).
T(x,R(T(y,z),u,w) \ y) = T(x,K(y,z)).
T(T(x,y),K(z,y)) = T(x,T(y,z)).
T(x * y,K(y,z)) = T(x,K(z,y)) * y.
K(x,K(y,((z \ u) \ u) \ 1)) = K(x,K(y,T(z,z \ u))).
K(x,K(y,T(z,z \ u))) = K(x,K(y,((z \ u) \ u) \ 1)).
K(x,y \ 1) * K(x,K(y,z)) = K(x,T(y \ 1,z)).
K(x,K(y,z * y)) = K(x,K(z,y)).
T(T(x,K(y,z)),K(z,y)) = x.
K(x,y) * z = T(z,K(y,x)) * K(x,y).
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
T(T(x,T(y,z)),K(z,y)) = T(x,y).
T(x,y) = T(T(x,K(z,y)),T(y,z)).
T(T(x,K(y,z)),T(z,y)) = T(x,z).
x = T(T(x,K(y,z)),K(y,z)).
T(T(x,K(y,z)),K(y,z)) = x.
T(T(x,T(y,z)),K(y,z)) = T(x,y).
T(x,y) = T(T(x,K(y,z)),T(y,z)).
T(T(x,K(y,z)),T(y,z)) = T(x,y).
K(x,K(y,z)) = K(x,K(y,x * z)).
K(x,K(y,x * z)) = K(x,K(y,z)).
K(x / y,K(z,y)) = K(x / y,K(z,x)).
T(x,K(y,z / x)) = x * K(x,K(y,z)).
T((x * y) * (x \ 1),T(x,z)) = R(T(y,K(z,x)),x,x \ 1).
x * K(x,K(y,z)) = T(x,K(y * z,z)).
T(x,K(y * z,z)) = x * K(x,K(y,z)).
T(T(x,y \ z),K(y,z / y)) = T(x,z / y).
T(K(x,y) * z,x) = T(z * K(x,y),T(x,y)).
T(x * K(y,z),T(y,z)) = T(K(y,z) * x,y).
K(x,y) * K(z,K(y,x)) = K(T(x,z),y).
T(K(x,T(y,z)),z) = K(x,y).
(x * K(y,z)) / x = K(y,T(z,x)).
x * K(y,z) = K(y,T(z,x)) * x.
K(x,T(y,z)) * z = z * K(x,y).
K(x / y,z) = K(y \ x,T(z,x)).
K(x \ y,T(z,y)) = K(y / x,z).
x * y != y * K(z,u) | x = K(y * (z / y),u).
K(x,T(y,z)) = K(z * (x / z),y).
K(x * (y / x),z) = K(y,T(z,x)).
x * y != y * K(z * y,u) | x = K(y * z,u).
K(x * y,T(z,y)) = K(y * x,z).
x * y != y * K(y \ z,u) | x = K(z / y,u).
K(x \ y,T(z,x)) = K(y / x,z).
x * y != y * K(z \ 1,z) | x = K(z \ 1,z).
K(x \ 1,T(x,y)) = K(x \ 1,x).
x * y != y * K(y \ (z \ y),u) | x = K(z \ 1,u).
K(x \ (y \ x),T(z,x)) = K(y \ 1,z).
K(x,y \ z) * y = y * K(x,z / y).
R((x / y) / K(z,T(u,y)),K(z,T(u,y)),y) = x / (y * K(z,u)).
(x * K(y,z)) * u = K(y,T(z,x)) * (x * u).
K(x,T(y,z)) * (z * u) = (z * K(x,y)) * u.
K(x,y \ 1) * y = y * K(x,y \ 1).
K(x,T(y,z)) * (z / y) = (z / y) * K(x,y).
K(x,y * z) * (z * y) = (z * y) * K(x,y * z).
T(x,y * K(z,T(x,u))) = T(x,y).
K((x * y) / x,z) = K(y,T(z,x)).
K(x / y,y * z) = K(y \ x,z * y).
T(T(x,y),x \ 1) = (K(x \ 1,x) / T(x,y)) \ 1.
(K(x \ 1,x) / T(x,y)) \ 1 = T(T(x,y),x \ 1).
x / ((y * K(z,T(x,u))) \ T(x,y)) = T(y * K(z,T(x,u)),x).
K(x * K(y,x),z) = K(x,T(z,y)).
K(x * K(y,x),y / z) = K(x,z \ y).
K(T(x,y \ x),z) = K(x,T(z,y)).
T(K(x,y),z) = K(x,T(y,z)).
K(x,T(y,z)) = T(K(x,y),z).
x * K(y,T(z,x)) = K(y,z) * x.
T(K(x,y),y * z) = K(x,T(y,z)).
K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)).
T(K(x,y) * K(z,u),z) = K(x,T(y,z)) * K(z,u).
K(x / y,T(z,x)) = K(y \ x,z).
K((x \ y) \ y,z) = K(x,T(z,y)).
K(T(x,y),z) = K(x,T(z,y)).
K(x,T(T(y,z),z)) = K(x,y).
K(x,K(y,z)) * K(z,y) = K(z,T(y,x)).
K(x \ y,z) = K(y / x,T(z,x)).
K(x / y,T(z,y)) = K(y \ x,z).
K(x,y) = K(x,T(y,T(T(x,z),u))).
K(x,T(y,T(T(x,z),u))) = K(x,y).
K(x,T(T(y / z,y),u)) = K(T(x,u),z \ y).
K(x \ 1,T(y,z)) = K(z \ (x \ z),y).
K(x \ (y \ x),z) = K(y \ 1,T(z,x)).
T(T(x,y),z) = K(x,T(z,y)) * T(x,y).
K(x,T(y,z)) * T(x,z) = T(T(x,z),y).
T(x * K(y,T(x,z)),T(y,z)) = x.
R(K(x,T(y,z)) / u,u,T(x,z)) = T(T(x,z),y) / (u * T(x,z)).
T(T(x,y),z) * K(y,x) = K(x,T(z,y)) * x.
K(x * y,T(z,x)) = K(y * x,z).
K((x \ y) * x,z) = K(y,T(z,x)).
K(x,T(y,x \ z)) = T(K(x,y),z).
K(x,T(y,z / x)) = T(K(x,y),z).
T(K(x,y),z * x) = K(x,T(y,z)).
K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)).
K(((x \ y) \ 1) / z,T(u,y \ x)) = K((y * z) \ x,u).
K(((x / y) * z) \ 1,T(u,z \ y)) = K((x \ (1 / z)) * y,u).
K(x,T(y,z \ x)) = K(x,T(y,z)).
K(x,T(y \ z,y)) = K(x,z / y).
K(x,T(T(y \ z,u),y)) = K(x,T(z / y,u)).
K(x,T(y,z)) = K(x,y * K(z,y)).
K(x,y * K(z,y)) = K(x,T(y,z)).
T(x,T(T(y,z),z)) = x * K(x,y).
K(x,T(y,y * z)) = K(x,T(y * z,y) / z).
K(x,T(y * z,y) / z) = K(x,T(y,y * z)).
K(x,y) * z != z * u | K(x,T(y,z)) = u.
x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x.
x * K(y,x \ z) = K(y,z / x) * x.
K(x,y / z) * z = z * K(x,z \ y).
(x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y.
x * K(y,z * x) = K(y,x * z) * x.
K(x,y * z) * y = y * K(x,z * y).
x * K(y / x,z) = K(x \ y,z) * x.
K(x \ y,z) * x = x * K(y / x,z).
T(x / y,T(z,x)) = (x / y) * K(y \ x,z).
(x / y) * K(y \ x,z) = T(x / y,T(z,x)).
K((x / y) \ z,u) = K(z * (y / x),T(u,z)).
K(x * (y / z),T(u,x)) = K((z / y) \ x,u).
K(x \ (y / z),u) = K(y / (x * z),T(u,x)).
K(x / (y * z),T(u,y)) = K(y \ (x / z),u).
K((x / y) / z,T(u,z * y)) = K((z * y) \ x,u).
T(x,K(y,z)) = T(x * K(y,T(x,z)),y).
T(x * K(y,T(x,z)),y) = T(x,K(y,z)).
K(x * y,T(z,y)) = K(T(x,y) * y,z).
K(T(x,y) * y,z) = K(x * y,T(z,y)).
K(x * y,x \ z) = K(y * x,z / x).
K(x * (y * R(y \ (x \ z),u,w)),T(v5,x * y)) = K(R((x * y) \ z,u,w) * (x * y),v5).
K((x * R(x \ y,z,u)) * w,T(v5,x)) = K((w * R(w \ (x \ (y * w)),z,u)) * x,v5).
K((x * R(x \ (y \ (z * x)),u,w)) * y,v5) = K((y * R(y \ z,u,w)) * x,T(v5,y)).
K(((1 / x) * y) * x,z) = K(y,T(z,x)).
K(x * (y * z),u) = K(y * (z * x),T(u,y * z)).
K(x * (y * z),T(u,x * y)) = K(z * (x * y),u).
T(x * K(x * y,z),y) = y \ T(x * y,T(z,y)).
K(x,T(y,z)) = K(x,T(y,x \ z)).
K(x,T(y,x \ z)) = 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)).
(x * y) * K(y,T(z,x)) = K(y,z) * (x * y).
T(x,T(y,z \ x)) = x * K(x,T(y,z)).
K(x,T(y \ z,z)) = K(x,z / y).
K(x,T(y,z \ y)) = K(x,T(y,z)).
T(x,T(T(y,z),z)) != x * u | K(x,y) = u.
T(x,y) = T(x,T(T(y,z),z)).
T(x,T(T(y,z),z)) = T(x,y).
T(x,T(y \ z,y)) = T(x,z / y).
T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)).
T(x,T(y,z)) = T(x,y * K(z,y)).
T(x,y * K(z,y)) = T(x,T(y,z)).
K(x,T(y,z)) * (x \ z) = (x \ z) * K(x,y).
T(T(x,K(y,T(z,u))),T(T(z,u / y),y)) = T(x,T(z,u / y)).
K(x,T(y \ (z \ y),z \ y)) = K(x,z \ 1).
(x \ y) * K(z,T(y,x)) = K(z,y) * (x \ y).
T(x,T(y,z)) = T(x,(z * y) / z).
T(x,(y * z) / y) = T(x,T(z,y)).
T(x,T(y \ z,z)) = T(x,z / y).
T(x,T(y \ (z \ u),y)) = T(x,z \ (u / y)).
T(x,T(y,z)) = T(x,z / (z / y)).
T(x,y / (y / z)) = T(x,T(z,y)).
T(x,T(y,z)) = T(x,z * (y / z)).
T(x,y * (z / y)) = T(x,T(z,y)).
T(x,L(T(y \ z,u * z),y,u)) = T(x,(u * z) / (u * y)).
T(x,T(y / (y / z),u)) = T(x,T(T(z,u),y)).
T(x,y * (z * (y \ 1))) = T(x,T(z,y)).
T(x,y * z) = T(x,T(z * y,y)).
T(x,T(y * z,z)) = T(x,z * y).
T(x,y * (z * (1 / y))) = T(x,T(z,y)).
T((x * y) * (x \ 1),y * x) = T((x * y) * (x \ 1),x * y).
T(x,y * z) = T(x,T(z,y) * y).
T(x,T(y,z) * z) = T(x,z * y).
T(x,T(T(y,z),u) * z) = T(x,z * T(y,u)).
T(x,T(y \ z,u) * y) = T(x,y * T(z / y,u)).
T(x,(y \ 1) * z) = T(x,T(z,y \ 1) / y).
T(x,T(y,z \ 1) / z) = T(x,(z \ 1) * y).
T(x,y * T(z,T(u,x))) = T(x,y * T(z,u)).
T(x,K(y,z)) = T(x,K(y,x \ z)).
T(x,K(y,x \ z)) = T(x,K(y,z)).
T(x,K(y,z)) = T(x,K(y,x * z)).
T(x,K(y,x * z)) = T(x,K(y,z)).
T(x,K(y,z)) * u = K(y,z) * ((x * K(z,y)) * u).
K(x,y) * ((z * K(y,x)) * u) = T(z,K(x,y)) * u.
T(x,K(x * y,y)) = x.
x \ (x / y) = T(x \ (x / y),K(z,y)).
T(x \ (x / y),K(z,y)) = x \ (x / y).
x / y = T(x / y,K(z,y / x)).
T(x / y,K(z,y / x)) = x / y.
T(x / y,K(x,y)) = x / y.
T(x,K(y * x,y)) = x.
((x * y) / x) * (x / y) = y * ((x / y) * K(x,y)).
T(1 / x,K(y,x)) = 1 / x.
x \ (1 / y) = T(x \ (1 / y),K(x,y)).
T(x \ (1 / y),K(x,y)) = x \ (1 / y).
x * K(y,y * x) = K(y,y * x) * x.
K(x,x * y) * y = y * K(x,x * y).
K(x / y,K(z,y)) = K(x,K(z,x / y)).
T(x,K(y,z)) = T(x,K(y,z / x)).
T(x,K(y,z / x)) = T(x,K(y,z)).
T(x,K(y,z)) = T(x,K(y,z * x)).
T(x,K(y,z * x)) = T(x,K(y,z)).
T(x,K(y,z)) = T(x,K(y * z,z)).
T(x,K(y * z,z)) = T(x,K(y,z)).
K(T(x,y),z) * u = K(x,z) * (K(y,K(z,x)) * u).
K(x,y) * (K(z,K(y,x)) * u) = K(T(x,z),y) * u.
T(x * K(y,z / x),x \ z) = T(x \ z,y) \ z.
T(x,K(y,x \ 1)) = x.
x * K(y,K(x \ 1,x)) = x.
T(x / y,K(z,x \ y)) = x / y.
T(x / (x * y),K(z,y)) = x / (x * y).
K(x,K(y,z)) * K(z,x) = K(z,T(x,y)).
K(x \ ((y \ z) \ x),u) = K(z \ y,T(u,x)).
x \ T(T(x,y),z) = K(x,T(z,y)) * K(x,y).
K(x,T(y,z)) * K(x,z) = x \ T(T(x,z),y).
(x \ K(x \ 1,T(y,z))) \ K(x,z) = T(T(x,z) \ 1,y) \ 1.
K(x,x \ 1) = K(x,y \ (x \ y)).
K(x,y \ (x \ y)) = K(x,x \ 1).
(x \ y) \ (z * K(x,z \ u)) = (T(x,u / z) \ y) \ z.
x * y != y * K(z,u) | x = K(z,T(u,y)).
K(x,y * z) = K(x,T(z * y,y)).
K(x,T(y * z,z)) = K(x,z * y).
K(x \ T(y,y \ x),z) * ((y \ x) * y) = ((y \ x) * y) * K(y / ((y \ x) * y),z).
K(T(x,y) * y,z) = K(y * x,z).
K(T(T(x,y),z) * y,u) = K(y * T(x,z),u).
T(x * K(x * y,x \ z),y) = y \ T(x * y,z / x).
T(x,T(y,z)) = T(x,T(y,z \ x)).
T(x,T(y,z \ x)) = T(x,T(y,z)).
T(x * y,T(z,y)) = T(x * y,T(z,x)).
T(x,T(y,z)) = T(x,T(y,z \ 1)).
T(x,T(y,z \ 1)) = T(x,T(y,z)).
T((x * y) * (x \ 1),T(x * y,x)) = L(R(y,x,x \ 1),x,L(y,x,x \ 1)).
L(R(x,y,y \ 1),y,L(x,y,y \ 1)) = T((y * x) * (y \ 1),T(y * x,y)).
K(x,y) * (z \ (z / y)) = (z \ (z / y)) * K(x,y).
T(x \ (x / y),y) = T(x \ (x / y),T(y,z)).
T(x \ (x / y),T(y,z)) = T(x \ (x / y),y).
T(K(x,x * y) * y,x) = x \ (L(x,y,x) * y).
K(x,K(y,x / z)) = K(z,K(y,x / z)).
K(x,K(y,z / x)) = K(z,K(y,z / x)).
T(x / (x * y),z) = T(x / (x * y),T(z,y)).
T(x / (x * y),T(z,y)) = T(x / (x * y),z).
K(x,K(y,z)) * K(x * z,x) = K(x * z,T(x,y)).
T(x * y,T(y \ z,x)) = T(x * y,z / y).
K(x,K(y,x / z)) = K(x,K(y,z)).
K(x,K(y,z)) = K(x,K(y,z \ x)).
K(x,K(y,z \ x)) = K(x,K(y,z)).
K(x,K(y,x / z)) = K(x,K(z,y)).
K(x,K(y,z)) * (z \ x) = T(z \ x,K(x,y)).
T(x,K(y,x / z)) = x * K(x,K(z,y)).
T(x,K(y,x / z)) = T(x,K(y,z)).
T(x,K(y,x * z)) = T(x,K(y,z \ 1)).
T(x,K(y,z \ 1)) = T(x,K(y,x * z)).
T(x,K(y,z \ 1)) = T(x,K(y,z)).
R(a(x,y,x),z,u) = a(x,y,x).
(x * a(y,z,y)) * u = a(y,z,y) * (x * u).
R(x,y,x) * z = a(x,y,x) * (x * z).
a(x,y,x) * (x * z) = R(x,y,x) * z.
a(x,y,x) * R(z,u,w) = R(a(x,y,x) * z,u,w).
R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w).
a(x,y,x) \ (z * u) = (a(x,y,x) \ z) * u.
R(x,y,z) / a(u,w,u) = R(x / a(u,w,u),y,z).
R(x / a(y,z,y),u,w) = R(x,u,w) / a(y,z,y).
R(a(x,y,x) \ 1,z,u) = a(x,y,x) \ 1.
a(x,y,x) \ R(z,u,w) = R(a(x,y,x) \ z,u,w).
R(a(x,y,x) \ z,u,w) = a(x,y,x) \ R(z,u,w).
R(x,y,z) \ a(u,w,u) = R(x \ a(u,w,u),y,z).
R(x \ a(y,z,y),u,w) = R(x,u,w) \ a(y,z,y).
x \ a(y,z,y) = a(y,z,y) * (x \ 1).
a(x,y,x) * (z \ 1) = z \ a(x,y,x).
a(x,y,x) * z = R(x,y,x) * (x \ z).
R(x,y,x) * (x \ z) = a(x,y,x) * z.
(x * R(y,z,y)) \ T(x,R(y,z,y)) = (a(y,z,y) * (y * x)) \ x.
a(x,y,x) \ (z \ a(x,y,x)) = z \ 1.
(x \ a(y,z,y)) * u = a(y,z,y) * ((x \ 1) * u).
a(x,y,x) * ((z \ 1) * u) = (z \ a(x,y,x)) * u.
x * (a(x,y,x) * z) = R(x,y,x) * z.
K(x \ y,x) * (a(x,z,x) * y) = (x \ y) * R(x,z,x).
x * y != R(x,z,u) * (w * x) | y = w * R(x,z,u).
a(x,y,x) * (z * x) = z * R(x,y,x).
x * y = R(x,z,x) * (a(x,z,x) \ y).
R(x,y,x) * (a(x,y,x) \ z) = x * z.
x * (a(x,y,x) * L((R(x,y,x) * R(x,y,x)) \ R(x,y,x),z,u)) = L(R(x,y,x) \ 1,z,u) * R(x,y,x).
x / R(y,z,y) = a(y,z,y) \ (x / y).
a(x,y,x) \ (z / x) = z / R(x,y,x).
(x / y) / (x / R(y,z,y)) = a(y,z,y).
T(x * a(y,z,y),u) \ w = T(x,u) \ (a(y,z,y) \ w).
R(x,y,x) \ z = x \ (a(x,y,x) \ z).
x \ (a(x,y,x) \ z) = R(x,y,x) \ z.
(R(x,y,x) * z) \ u = (x * z) \ (a(x,y,x) \ u).
(x * y) \ (a(x,z,x) \ u) = (R(x,z,x) * y) \ u.
(x * R(y,z,y)) \ u = (x * y) \ (a(y,z,y) \ u).
(x * y) \ (a(y,z,y) \ u) = (x * R(y,z,y)) \ u.
x * (R(x,y,x) \ z) = a(x,y,x) \ z.
L(x,y,z) \ (x * (a(L(x,y,z),u,L(x,y,z)) \ w)) = x * (R(L(x,y,z),u,L(x,y,z)) \ w).
x * R(x \ y,z,x) = a(x,z,x) \ R(y,z,x).
a(x,y,x) \ R(z,y,x) = x * R(x \ z,y,x).
x * R(x \ L(y,z,u),w,x) = a(x,w,x) \ L(R(y,w,x),z,u).
a(x,y,x) \ L(R(z,y,x),u,w) = x * R(x \ L(z,u,w),y,x).
a(x,y,x) \ 1 = x \ L(x,y,x).
T(a(x,y,x) \ z,z \ R(x,y,x)) = ((x * (R(x,y,x) \ z)) \ x) \ x.
a(x,y,z) * (R(a(x,y,z),u,a(x,y,z)) \ w) = 1 \ w.
a(x,y,x) * (z * u) = z * (u * a(x,y,x)).
a(x,y,x) * (z \ u) = z \ (u * a(x,y,x)).
x \ (y * a(z,u,z)) = a(z,u,z) * (x \ y).
x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y).
T(x,y / z) = T(T(x,z \ y),K(z,y)).
T(T(x,y \ z),K(y,z)) = T(x,z / y).
T(x,y / z) = T(T(x,K(z,y)),z \ y).
T(T(x,K(y,z)),y \ z) = T(x,z / y).
T(x / y,x \ y) = T(x / y,y / x).
T(x / y,y / x) = T(x / y,x \ y).
T((x / y) / x,x / (x / y)) = T((x / y) / x,y).
T(K(x \ 1,y) * z,x \ 1) = T(z * K(x \ 1,y),y \ (x \ y)).
T(x * K(y \ 1,z),z \ (y \ z)) = T(K(y \ 1,z) * x,y \ 1).
K(x,T(T(y / z,y),u)) = K(x,T(z \ y,u)).
T(x,T(y,z)) = T(T(x,z),y) * K(z,x).
T(T(x,y),z) * K(y,x) = T(x,T(z,y)).
T(T(x,y) * K(z,x),z) = T(x,T(y,z)).
T(K(x,y) * T(y,z),x) = T(y,T(z,x)).
T(K(x,y) * T(y,z / T(u,w)),x) = T(y,T(z / T(u,u * w),x)).
T(K(x,y) * T(y,(z / u) \ w),x) = T(y,T(u / (w \ z),x)).
T(K(x,y) * T(y,z \ (u / w)),x) = T(y,T((z \ u) / w,x)).
K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)).
K(x,T(y * z,y) / z) = K(x,T(y,z)).
K(x,y \ T(y * z,z)) = K(x,T(z,y)).
(x \ y) * K(z,T(x,y)) = T(x,z) \ y.
(x \ L(x,y,z)) * K(u,x) = T(x,u) \ L(x,y,z).
K((x / y) \ z,u) = K((y / x) * z,u).
K((x / y) * z,u) = K(x * (y \ z),u).
(((x \ y) * z) * (1 / (x \ y))) / ((x \ y) * z) = K((z / x) * y,(x \ y) \ 1) / (x \ y).
K((a(x,y,z) \ u) * w,v5) = K(u * (a(x,y,z) \ w),v5).
K(x * (y \ a(z,u,w)),v5) = K(x / y,v5).
K(x * (y \ a(z,u,w)),y) = K(y \ x,y).
K(x / y,T(z,u)) = K(u \ (x / (u \ y)),z).
K(x \ (y / (x \ z)),u) = K(y / z,T(u,x)).
K(x,y) * (z * x) = z * T(x,T(y,z)).
K(x,y) * (z * x) != z * u | T(x,T(y,z)) = u.
K(R(x \ 1,y,z),u) * (R(x,y,z) \ x) = x * T(R(x \ 1,y,z),T(u,x)).
(x * y) \ (K(z,u) * (x * T(y,T(w,x)))) = T(K(z,u) * K(y,w),x * y).
T(x,T(T(y \ z,y),u)) = T(x,T(z / y,u)).
(x \ y) * K(z / x,y) = K(x \ z,y) * (x \ y).
K(x \ y,z) * (x \ z) = (x \ z) * K(y / x,z).
T(x,T(y / z,u)) = T(x,T(T(z \ y,u),y)).
T(x,T(T(y \ z,u),z)) = T(x,T(z / y,u)).
T(x,T(T(y,z),u) * w) = T(x,w * T(T(y * K(w,y),z),u)).
T(x,y * T(T(z * K(y,z),u),w)) = T(x,T(T(z,u),w) * y).
T(x,T(y,z \ 1) / z) = T(x,z \ y).
T(x,T(T(T(y,z \ 1),u),w) / z) = T(x,z \ T(T(y,u),w)).
T(x,y * T(z,u * x)) = T(x,y * T(z,x * u)).
K(x \ ((y \ x) \ x),z) = K(y / x,z).
K(x \ T(y,y \ x),z) = K(y / x,z).
K(x / y,z) = K(y \ T(x,y),z).
K(x \ T(y,x),z) = K(y / x,z).
K(R(x,y,z) \ T(u,x),w) = K(u / R(x,y,z),w).
T(x \ (x / T(y,z)),T(y,z)) = T(x \ (x / T(y,z)),y).
T(x \ y,K(y,z)) = T(x,K(y,z)) \ y.
T(x,K(y,z)) \ y = T(x \ y,K(y,z)).
T(x,K(y,z)) \ (y * z) = T(x \ (y * z),K(y * z,z)).
T(x \ (y * z),K(y * z,z)) = T(x,K(y,z)) \ (y * z).
a(x,y,x) * (z * u) = z * (a(x,y,x) * u).
x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u).
x \ y = a(z,u,z) * (x \ (a(z,u,z) \ y)).
a(x,y,x) * (z \ (a(x,y,x) \ u)) = z \ u.
x \ R(y,z,y) = a(y,z,y) * (x \ y).
a(x,y,x) * (z \ x) = z \ R(x,y,x).
a(x,y,x) * ((a(x,y,x) * z) \ u) = z \ u.
a(x,y,x) \ (z \ R(x,y,x)) = z \ x.
a(x,y,x) * T(z,z \ x) = (z \ x) \ R(x,y,x).
R(x / a(y,z,y),a(y,z,y),x \ y) = y / (x \ R(y,z,y)).
x * (y \ R(x,z,x)) = R(x,z,x) * (y \ x).
R(x,y,x) * (z \ x) = x * (z \ R(x,y,x)).
a(x,y,x) \ R(z \ x,y,x) = R(z,y,x) \ x.
K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)).
a(x,y,x) * z != u * w | z = (a(x,y,x) \ u) * w.
x * y = (a(z,u,z) \ x) * (a(z,u,z) * y).
(a(x,y,x) \ z) * (a(x,y,x) * u) = z * u.
a(x,y,x) * z != (u * a(x,y,x)) * w | z = u * w.
(x * a(y,z,y)) * u = x * (a(y,z,y) * u).
a(x,y,x) * z != (a(x,y,x) * u) * w | z = u * w.
(a(x,y,x) * z) * u = z * (a(x,y,x) * u).
x \ (R(y,z,y) * u) = a(y,z,y) * (x \ (y * u)).
a(x,y,x) * (z \ (x * u)) = z \ (R(x,y,x) * u).
(a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u).
a(x,y,x) \ (z \ u) = z \ (a(x,y,x) \ u).
a(x,y,x) * (z \ (u / R(x,y,x))) = z \ (u / x).
a(x,y,x) \ (z \ u) = (a(x,y,x) * z) \ u.
(a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u).
a(x,y,x) * (x \ z) = L(x,y,x) \ z.
a(x,y,x) * ((z \ u) \ w) = (z \ (a(x,y,x) \ u)) \ w.
(x \ (a(y,z,y) \ u)) \ w = a(y,z,y) * ((x \ u) \ w).
a(x,y,x) \ (L(x,y,x) \ z) = x \ z.
a(x,y,x) * z = L(x,y,x) \ (x * z).
L(x,y,x) \ (x * z) = a(x,y,x) * z.
(L(x,y,x) \ z) \ u = (x \ z) \ (a(x,y,x) \ u).
(x \ y) \ (a(x,z,x) \ u) = (L(x,z,x) \ y) \ u.
x \ (L(y,z,y) \ u) = a(y,z,y) * (x \ (y \ u)).
a(x,y,x) * (z \ (x \ u)) = z \ (L(x,y,x) \ u).
a(x,y,x) \ z = x \ (L(x,y,x) * z).
x \ (L(x,y,x) * z) = a(x,y,x) \ z.
L(x,y,x) * (a(x,y,x) * z) = x * z.
a(x,y,x) * z = x * (L(x,y,x) \ z).
x * (L(x,y,x) \ z) = a(x,y,x) * z.
x * (a(x,y,x) \ z) = L(x,y,x) * z.
L(x \ (a(y,z,y) \ u),x,y) = (y * x) \ (L(y,z,y) * u).
a(x,y,x) \ z = L(x,y,x) * (x \ z).
L(x,y,x) * (x \ z) = a(x,y,x) \ z.
L(x,y,x) * K(x * y,x) = x * K(y,x).
x * y != L(z,x \ u,x) * u | y = (x \ u) * T(z,u).
a(x,x \ y,x) \ y = (x \ y) * T(x,y).
R(1 / x,x,a(x,y,x) \ z) = (a(x,y,x) \ z) / (L(x,y,x) * z).
(a(x,y,x) \ z) / (L(x,y,x) * z) = R(1 / x,x,a(x,y,x) \ z).
R(x * (a(x,y,x) \ z),y,x) = x * R(z,y,x).
K(x,y) * (L(y,z,y) * u) = y * (K(x,y) * (a(y,z,y) \ u)).
x * (K(y,x) * (a(x,z,x) \ u)) = K(y,x) * (L(x,z,x) * u).
x / L(a(y,z,y) \ u,y,(L(y,z,y) * u) \ x) = (x / (y * (a(y,z,y) \ u))) * y.
a(x,y,z) * L(u,w,u) = u * (a(u,w,u) \ a(x,y,z)).
x * (a(x,y,x) \ a(z,u,w)) = a(z,u,w) * L(x,y,x).
x * (y / R(x,z,x)) = L(x,z,x) * (y / x).
L(x,y,x) * (z / x) = x * (z / R(x,y,x)).
R(a(x,y,x) \ z,y,x) = x * R(x \ z,y,x).
a(a(x,y,x) \ z,u,w) = a((x \ z) * x,u,w).
(a(x,y,x) \ z) * u = z * (a(x,y,x) \ u).
R(x,a(y,z,y),u) = x.
L(x,a(y,z,y),u) = x.
(x / y) / a(z,u,z) = x / (a(z,u,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).
x / (a(y,z,y) \ u) = (x / u) * a(y,z,y).
a(x,y,x) \ L(z,u,w) = (w * u) \ (a(x,y,x) \ (w * (u * z))).
(x * y) \ (a(z,u,z) \ (x * (y * w))) = a(z,u,z) \ L(w,y,x).
a(x,y,x) \ 1 = z \ (a(x,y,x) \ z).
x \ (a(y,z,y) \ x) = a(y,z,y) \ 1.
a(x,y,x) \ (z \ x) = z \ L(x,y,x).
a(x,y,x) \ (x \ z) = R(x,y,x) \ z.
a(x,y,x) \ (z \ (L(x,y,x) \ u)) = z \ (x \ u).
(a(x,y,x) * z) \ z = a(x,y,x) \ 1.
x * (a(y,z,y) \ 1) = a(y,z,y) \ x.
a(x,y,x) \ T(z,z \ x) = (z \ x) \ L(x,y,x).
a(x,y,x) \ R(x,z,u) = (R(x,z,u) \ x) \ L(x,y,x).
(R(x,y,z) \ x) \ L(x,u,x) = a(x,u,x) \ R(x,y,z).
x \ (y \ L(x,z,x)) = R(x,z,x) \ (y \ x).
R(x,y,x) \ (z \ x) = x \ (z \ L(x,y,x)).
(R(x,y,x) \ z) \ u = (x \ z) \ (a(x,y,x) * u).
(x \ y) \ (a(x,z,x) * u) = (R(x,z,x) \ y) \ u.
a(x,y,x) * (z \ (R(x,y,x) \ u)) = z \ (x \ u).
a(x,y,x) \ (z \ (x \ u)) = z \ (R(x,y,x) \ u).
x * (y \ L(y,z,y)) = a(y,z,y) \ x.
x * (K(y,z) * K(z,z * y)) = a(z,y,z) \ x.
x * K(y,y * a(z,u,w)) = a(y,a(z,u,w),y) \ x.
x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)).
x \ (L(x,y,x) * z) = z * (x \ L(x,y,x)).
(L(x,y,x) \ z) \ u = a(x,y,x) \ ((x \ z) \ u).
a(x,y,x) \ ((x \ z) \ u) = (L(x,y,x) \ z) \ u.
(1 / x) * (y / (x \ 1)) = (x \ 1) * (y / R(x \ 1,x,x \ 1)).
(x \ 1) * (y / R(x \ 1,x,x \ 1)) = (1 / x) * (y / (x \ 1)).
a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u).
x / (a(y,z,y) * u) = a(y,z,y) \ (x / u).
x / L(y,z,y) = (x / y) * a(y,z,y).
(x / y) * a(y,z,y) = x / L(y,z,y).
a(x,y,x) * (z / x) = z / L(x,y,x).
L(x \ (y / z),x,a(z,u,z)) = (x * a(z,u,z)) \ (y / L(z,u,z)).
(x / L(y,z,y)) \ (x / y) = a(y,z,y) \ 1.
x * y = (R(x,z,x) * y) * (x \ L(x,z,x)).
(R(x,y,x) * z) * (x \ L(x,y,x)) = x * z.
x * (y * (a(x,z,x) \ u)) = L(x,z,x) * (y * u).
(x * (a(y,z,y) \ u)) \ w = a(y,z,y) * ((x * u) \ w).
(x * (a(y,z,y) \ u)) * w = (x * u) * (a(y,z,y) \ w).
x / (y * a(z,u,z)) = a(z,u,z) \ (x / y).
R(a(x,y,x) \ 1,1 / L(x,y,x),y * x) = a(1 / L(x,y,x),y,x).
(a(x,y,x) \ z) / u = a(x,y,x) \ (z / u).
T(K(x,x \ y) * y,x) / y = a(x,x \ y,x).
x \ (L(x,y,x) * y) = K(x,x * y) * T(y,x).
K(x,x * y) * T(y,x) = x \ (L(x,y,x) * y).
R(x,y,z) \ z = z * R(z \ (x \ z),y,z).
x * R(x \ (y \ x),z,x) = R(y,z,x) \ x.
x \ (R(y,z,x) \ x) = R(x \ (y \ x),z,x).
R(x \ (y \ x),z,x) = x \ (R(y,z,x) \ x).
(R(x,y,z) \ z) / z = R((x \ z) / z,y,z).
R((x \ y) / y,z,y) = (R(x,z,y) \ y) / y.
(x \ y) * (R(x,z,y) \ x) = R(x,z,y) \ y.
x * (R(y,z,y * x) \ y) = R(y,z,y * x) \ (y * x).
R(x,y,x * z) \ (x * z) = z * (R(x,y,x * z) \ x).
x \ (y * (R(y,z,x) \ x)) = L(R(y,z,x) \ y,y \ x,y).
L(R(x,y,z) \ x,x \ z,x) = z \ (x * (R(x,y,z) \ z)).
R(1 \ x,y,z \ R(z,u,w)) = (z \ R(z,u,w)) * R((z \ R(z,u,w)) \ x,y,z \ R(z,u,w)).
(x \ R(x,y,z)) * R((x \ R(x,y,z)) \ u,w,x \ R(x,y,z)) = R(1 \ u,w,x \ R(x,y,z)).
a(a(x,y,x) \ z,u,w) = a(z,u,w).
a(x,y,z) = a(a(u,w,u) * x,y,z).
a(a(x,y,x) * z,u,w) = a(z,u,w).
a(x \ y,z,u) = a(L(x,w,x) \ y,z,u).
a(L(x,y,x) \ z,u,w) = a(x \ z,u,w).
a(x \ (a(y,z,y) \ u),w,v5) = a(x \ u,w,v5).
a(x \ L(y,z,y),u,w) = a(x \ y,u,w).
a(R(x,y,x) \ z,u,w) = a(x \ z,u,w).
a(R(x,y,z) \ z,u,w) = a(R(x \ z,y,z),u,w).
a(R(x \ y,z,y),u,w) = a(R(x,z,y) \ y,u,w).
a(x,y,z) = a(x * a(u,w,u),y,z).
a(x * a(y,z,y),u,w) = a(x,u,w).
a(R(x,y,x) * z,u,w) = a(x * z,u,w).
a(x * (a(y,z,y) * u),w,v5) = a(x * u,w,v5).
a(x \ R(1 / y,z,y),u,w) = a(x \ (y \ 1),u,w).
a(R(x \ y,z,x),u,w) = a(x \ R(y,z,x),u,w).
a(R(x * y,z,x),u,w) = a(x * R(y,z,x),u,w).
a(R(x * x,y,x),z,u) = a(x * x,z,u).
a(x * x,y,z) = R(R(x * x,u,x) \ R(R(x * x,u,x),y,z),R(x * x,u,x),y * z).
R(R(x * x,y,x) \ R(R(x * x,y,x),z,u),R(x * x,y,x),z * u) = a(x * x,z,u).
T(x * (y / x),x) / y = a(x,x \ y,x).
a(x,x \ y,x) * y = T(x * (y / x),x).
x \ T(y * (z / y),y) = (x \ z) * a(y,y \ z,y).
(x \ y) * a(z,z \ y,z) = x \ T(z * (y / z),z).
x \ (L(x,y,x) * y) = (y * x) / R(x,y,x).
(x * y) / R(y,x,y) = y \ (L(y,x,y) * x).
(x * y) \ (y \ (L(y,x,y) * x)) = T(y * x,y) \ x.
a(x * (R(y,z,y) * u),w,v5) = a(x * (y * u),w,v5).
x * K(y,z) = x / K(z,y).
x / K(y,z) = x * K(z,y).
(x * K(y,z)) \ x = K(z,y).
T(x,y / (z * K(u,w))) = T(x,y * (K(w,u) / z)).
(x * T(y,z)) * K(z,y) = x * y.
(x * K(y,z)) / z = x / T(z,y).
(x / y) * K(z,y) = x / T(y,z).
(x * T(y,z)) \ (x * y) = K(z,y).
x * K(y,z) = (x / T(z,y)) * z.
(x / T(y,z)) * y = x * K(z,y).
K(x,y) * (z * x) = T(z * T(x,y),K(y,x)).
T(x * T(y,z),K(z,y)) = K(y,z) * (x * y).
(x * y) / T(z,y) = (x * T(y,z)) / z.
(x * T(y,z)) / z = (x * y) / T(z,y).
(x * y) * z = (x * T(y,z)) * T(z,y).
(x * T(y,z)) * T(z,y) = (x * y) * z.
T(x / T(y,z),y) = y \ (x * K(z,y)).
x \ (y * K(z,x)) = T(y / T(x,z),x).
(x * R(y,z,u)) / y = (R(y,z,u) * x) / T(y,x).
(R(x,y,z) * u) / T(x,u) = (u * R(x,y,z)) / x.
(x * K(y,T(z,u))) / z = x / T(z,T(y,u)).
(x * K(y,T(z,u))) / (z * K(u,z)) = x / T(z * K(u,z),y).
x * K(y,z) = (x * z) / T(z,y).
(x * y) / T(y,z) = x * K(z,y).
x / T(y,z) != (x / y) * u | K(z,y) = u.
x * K(y,x \ z) = z / T(x \ z,y).
x / T(y \ x,z) = y * K(z,y \ x).
(x * y) / T(x,z) = y * (K(x,y) * K(z,x)).
x * (K(y,x) * K(z,y)) = (y * x) / T(y,z).
x / T(y,y \ 1) = x * T(x \ (x / y),y).
x * T(x \ (x / y),y) = x / T(y,y \ 1).
(x / y) * K(z,T(y,u)) = x / T(y,T(z,u)).
K(x,T(y,z)) * (z / y) = z / T(y,x).
L((x * T(y,z)) \ 1,x * T(y,z),K(z,y)) = (x * y) \ ((x * y) / (x * T(y,z))).
x * K(y,z) != u * z | x / T(z,y) = u.
(x * K(y,z)) * T(z,y) = x * z.
K(x \ 1,x) / T(x,y) = (x \ 1) * K(y,x).
T(x * K(y,x),z) \ (y * x) = y * K(z,x).
(x * y) / (a(z,u,w) * y) = (y * x) / T(a(z,u,w) * y,x).
(x * y) / T(a(z,u,w) * x,y) = (y * x) / (a(z,u,w) * x).
(x * (a(y,z,u) \ w)) / w = ((a(y,z,u) \ w) * x) / T(w,x).
((a(x,y,z) \ u) * w) / T(u,w) = (w * (a(x,y,z) \ u)) / u.
(x * L(T(y,z),u,w)) * T(z,L(y,u,w)) = (x * L(y,u,w)) * z.
T(x,y) \ T(z,K(y,x)) = T(z / T(x,y),x).
x * K(y,x \ z) = T(z / x,y) \ z.
T(x / y,z) \ x = y * K(z,y \ x).
(x / T(y,z)) / (x / y) = K(z,T(y,x)).
T(x * K(y,x \ z),T(z / x,y)) = ((T(z / x,y) \ z) \ z) \ z.
T(T(x,y) \ z,u) \ z = T(T(x,y),x \ z) * K(u,T(T(x,y),x \ z) \ z).
T(T(x,y),x \ z) * K(u,T(T(x,y),x \ z) \ z) = T(T(x,y) \ z,u) \ z.
T(x,T(y * K(z,y \ u),T(u / y,z))) = T(x,u / T(u / y,z)).
K(x,y) * (((z * T(x,y)) \ z) * x) = ((z * T(x,y)) \ z) * T(x,y).
T(x * y,x) / x = y * (K(x,y) * K(x * y,x)).
x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y.
x \ (x / T(y,y \ 1)) = T(x \ (x / y),y).
(1 / x) * (x / T(y,y \ 1)) = L(T(x \ (x / y),y),x,x \ 1).
L(T(x \ (x / y),y),x,x \ 1) = (1 / x) * (x / T(y,y \ 1)).
x / T(y,T(y \ x,z)) = T(x / y,T(y,z)).
T(x,y) \ (y \ x) = T((y \ x) / T(x,y),x).
T((x \ y) / T(y,x),y) = T(y,x) \ (x \ y).
T(x,y) \ a(z,u,w) = T(a(z,u,w) / T(x,y),x).
T(a(x,y,z) / T(u,w),u) = T(u,w) \ a(x,y,z).
x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y).
T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)).
x \ (x / T(K(y,z) / z,T(z,y))) = T(x \ (x / (K(y,z) / z)),K(y,z) / z).
T(x \ (x / (K(y,z) / z)),K(y,z) / z) = x \ (x / T(K(y,z) / z,T(z,y))).
x / T(y,T(y \ x,z)) = T(y \ x,K(y,z)).
K(T(x,y) \ (y \ x),z) = K((y \ x) / T(x,y),T(z,x)).
K((x \ y) / T(y,x),T(z,y)) = K(T(y,x) \ (x \ y),z).
x \ (x / ((y \ 1) \ 1)) = ((x \ (x / y)) \ 1) \ 1.
((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)).
(1 / x) / T(y,T(y \ (1 / x),x)) = y \ (1 / x).
K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u.
T(x,y) * K(z,K(x,T(u,y))) = T(T(x,K(z,u)),y).
T(x * y,K(z,y * x)) = x * y.
T((x / y) * R(y,z,u),K(w,(y \ x) * R(y,z,u))) = R(y,z,u) * (y \ x).
((x \ 1) * K(y,x)) \ 1 = T(T(x,y),x \ 1).
T(T(T(K(x,y) * K(z,u),z),w),T(K(x,T(y,z)),K(z,u))) = T(T(K(x,T(y,z)) * K(z,u),K(x,T(y,z))),w).
((x * y) / x) * (x / y) = y * (x / T(y,x)).
T(x * (y / x),x) = ((y * x) / y) * (y / x).
T(x * (y / x),x) != z * (y / x) | (y * x) / y = z.
K(T(x,y),z) * u != K(x,z) * w | K(y,K(z,x)) * u = w.
R(x / a(y,z,y),u,w) = a(y,z,y) \ R(x,u,w).
R(x \ y,z,u) = a(x,w,x) \ R(L(x,w,x) \ y,z,u).
a(x,y,x) \ R(L(x,y,x) \ z,u,w) = R(x \ z,u,w).
(x * y) \ L(x,z,x) = (R(x,z,x) * y) \ x.
(R(x,y,x) * z) \ x = (x * z) \ L(x,y,x).
a(x,y,x) * ((x * z) \ L(x,u,x)) = (R(x,u,x) * z) \ R(x,y,x).
T((x / y) / x,y) = T((x / y) / x,T(y,x)).
T((x / y) / x,T(y,x)) = T((x / y) / x,y).
K(x / R(y,y,z),u) = K((z / (y * z)) * T(x,y),u).
K((x / (y * x)) * T(z,y),u) = K(z / R(y,y,x),u).
T(a(x,y,x) * z,z \ x) = (z \ x) \ R(x,y,x).
a(x \ (R(y,z,y) * u),w,v5) = a(x \ (y * u),w,v5).
K(x \ (y / z),u) = K(x \ (y / R(z,w,z)),u).
K(x \ (y / R(z,u,z)),w) = K(x \ (y / z),w).
K(x,y \ (z / u)) = K(x,y \ (z / R(u,w,u))).
K(x,y \ (z / R(u,w,u))) = K(x,y \ (z / u)).
K(x \ (y \ z),u) = K(x \ (T(z,y) / y),u).
K(x \ (T(y,z) / z),u) = K(x \ (z \ y),u).
K(T(x,y) \ (y \ x),z) = K(y \ 1,z).
K(x,y \ (z \ u)) = K(x,y \ (T(u,z) / z)).
K(x,y \ (T(z,u) / u)) = K(x,y \ (u \ z)).
(x \ y) \ (z \ L(x,u,x)) = (L(x,u,x) \ y) \ (z \ x).
(L(x,y,x) \ z) \ (u \ x) = (x \ z) \ (u \ L(x,y,x)).
a((L(x,y,x) \ z) \ u,w,v5) = a((x \ z) \ u,w,v5).
T(x,y \ (L(z,u,z) \ w)) = T(x,y \ (z \ w)).
L(x,y,x) * (z \ (L(x,y,x) \ u)) = x * (z \ (x \ u)).
T(x,y \ ((1 / z) \ u)) = T(x,y \ ((z \ 1) \ u)).
T(x,y \ (z / T(u,z))) = T(x,y \ (u \ z)).
(R(x,y,x) \ z) \ u = ((x \ z) \ u) * a(x,y,x).
((x \ y) \ z) * a(x,u,x) = (R(x,u,x) \ y) \ z.
(x * R(y,z,u)) / y = (x / y) * R(y,z,u).
((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y.
T((x / y) * R(y,z,u),y) = y \ (x * R(y,z,u)).
(R(x,y,z) * (x \ u)) \ (u * R(x,y,z)) = x.
x * a(y,x,y) = T(y * x,y) / y.
T(x * y,x) / x = y * a(x,y,x).
((x \ (x / (1 / y))) \ 1) \ 1 = x \ (x / (y \ 1)).
T(x,y) * K(x,K(T(z,y),u)) = T(T(x,K(u,z)),y).
((x \ 1) \ y) * a(x,z,x) = R(x \ 1,z,x) \ y.
1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1.
T(x,y) * K(x,K(z,T(u,y))) = T(T(x,K(u,z)),y).
a(R(x \ 1,y,x) \ z,u,w) = a((x \ 1) \ z,u,w).
1 / (x \ (x / y)) = (x \ (x / (1 / (1 / y)))) \ 1.
(x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)).
K(x,y) * T(x,K(z,T(u,y))) = T(T(x,K(u,z)),y).
K(x,y) * z != K(y * R(x,u,w),y) | z = a(y,x,y).
a(x,R(y,z,u),x) = a(x,y,x).
K(x,x * a(y,z,u)) * w = w * K(x,x * a(y,z,u)).
a(R(x \ (1 / x),y,x),z,u) = a(x \ (x \ 1),z,u).
(x * y) \ (x * (y \ L(y,x,y))) = T(y * x,y) \ x.
a(x * R(y * z,u,y),w,v5) = a(x * (y * R(z,u,y)),w,v5).
a(x \ R(y * z,u,y),w,v5) = a(x \ (y * R(z,u,y)),w,v5).
a(((x \ 1) \ y) * x,z,u) = a((x \ 1) \ (y * x),z,u).
a((x \ 1) \ (y * x),z,u) = a(((x \ 1) \ y) * x,z,u).
a(T(1 / (x * x),x),y,z) = a(x \ (x \ 1),y,z).
a(x \ (x \ 1),y,z) = a(1 / (x * x),y,z).
a(1 / (x * x),y,z) = a(x \ (x \ 1),y,z).
a(x \ (x \ 1),y,z) = a((x * x) \ 1,y,z).
a((x * x) \ 1,y,z) = a(x \ (x \ 1),y,z).
a(((1 / x) * (1 / x)) \ 1,y,z) = a((1 / x) \ x,y,z).
T(x * y,x) \ y = L(R(x,y,x) \ 1,x,y).
L(R(x,y,x) \ 1,x,y) = T(x * y,x) \ y.
L(R(x \ 1,y,x),x,y) = T(x * y,x) \ y.
x / (y \ L(x,z,x)) = a(x,z,x) * y.
T(a(x,y,x) * z,z \ L(x,y,x)) = (z \ L(x,y,x)) \ x.
(x \ a(x,y,x)) \ z = (L(x,y,x) \ 1) \ z.
(L(x,y,x) \ 1) \ z = (x \ a(x,y,x)) \ z.
K(x,K(y,T(z,z \ u))) = K(x,K(y,u \ (z \ u))).
K((x * y) \ z,u) = K((z \ x) \ (y \ 1),T(u,x \ z)).
K((x \ y) \ (z \ 1),T(u,y \ x)) = K((y * z) \ x,u).
T(x,y) \ (a(z,u,z) \ (y * (K(x,y) * w))) = (x * a(z,u,z)) \ (y * w).
a(x,y,z) * (a(x,y,z) \ u) = 1 \ u.
K(a(x,y,z) \ (u * w),v5) = K(u * (a(x,y,z) \ w),v5).
T(x,K(y,z)) \ (y * z) = T(x \ (y * z),K(y,z)).
(x * a(y,z,u)) \ (x * w) = T((x * a(y,z,u)) \ (x * w),K(x,w)).
T((x * a(y,z,u)) \ (x * w),K(x,w)) = (x * a(y,z,u)) \ (x * w).
R(a(x,y,x) \ x,z,u) = (R(x,z,u) \ x) \ L(x,y,x).
(R(x,y,z) \ x) \ L(x,u,x) = R(a(x,u,x) \ x,y,z).
(x * L(y,z,y)) \ u = a(y,z,y) * ((x * y) \ u).
a(x,y,x) * ((z * x) \ u) = (z * L(x,y,x)) \ u.
(L(x,y,x) * z) \ u = a(x,y,x) * ((x * z) \ u).
a(x,y,x) * ((x * z) \ u) = (L(x,y,x) * z) \ u.
a(x,y,x) * z != u \ R(x,y,x) | z = u \ x.
(x * y) \ R(y,z,y) = (x * L(y,z,y)) \ y.
(x * L(y,z,y)) \ y = (x * y) \ R(y,z,y).
a((x * L(y,z,y)) \ u,w,v5) = a((x * y) \ u,w,v5).
(L(x,y,x) * z) * u = (x * z) * (a(x,y,x) \ u).
(x * y) * (a(x,z,x) \ u) = (L(x,z,x) * y) * u.
K(T(x,y) \ (y \ x),z) = K(y \ K(y,x),T(z,x)).
K(x \ K(x,y),T(z,y)) = K(x \ 1,z).
K(x \ K(x,y * z),y) = K(x \ 1,z \ T(z * y,y)).
K(x,T(x * a(y,z,u),w)) = K(x,x * a(y,z,u)).
a(((x \ 1) / x) \ 1,y,z) = a((1 / x) \ x,y,z).
a((1 / x) \ x,y,z) = a((x \ (x \ 1)) \ 1,y,z).
a((x \ (x \ 1)) \ 1,y,z) = a((1 / x) \ x,y,z).
K((x * y) \ z,u) = K(x \ (z / y),T(u,x \ z)).
K(x \ (y / z),T(u,x \ y)) = K((x * z) \ y,u).
(R(x,y,z) \ x) \ L(x,u,x) = R(L(x,u,x),y,z).
L(R(x,y,z),u,x) = (R(x,y,z) \ x) \ L(x,u,x).
(R(x,y,z) \ x) \ L(x,u,x) = L(R(x,y,z),u,x).
K(x \ K(x,y * z),y) = K(x \ 1,T(y,z)).
L(a(x,y,x) \ (z \ u),z,x) = (x * z) \ (L(x,y,x) * u).
(x \ L(y,z,y)) \ y = T(a(y,z,y) * x,x \ y).
T(a(x,y,x) * z,z \ x) = (z \ L(x,y,x)) \ x.
(x \ L(y,z,y)) \ y = (x \ y) \ R(y,z,y).
K(x,K(y,z)) * K(u,T(x,K(y,z))) = x / T(T(x,K(y,z)),u).
T(x * K(y,T(z,u)),z) = K(x,z) * (x * K(y,T(z,u))).
K(x,y) * (x * K(z,T(y,u))) = T(x * K(z,T(y,u)),y).
T(x * K(y,T(z,u)),z) = T(x,z) * K(y,T(z,u)).
K((x \ (1 / y)) * z,u) = K(y \ ((x / z) \ 1),T(u,y \ z)).
K(x \ ((y / z) \ 1),T(u,x \ z)) = K((y \ (1 / x)) * z,u).
T(x \ 1,T(y,z)) \ K(x,z) = T(T(x,z) \ 1,y) \ 1.
T(x,T(y / (z \ u),w)) = T(x,T((u / y) \ z,w)).
T(x,T((y / (z * u)) \ w,z)) = T(x,u / (z \ (w \ y))).
T(x,T((y / (z * u)) \ w,z)) = T(x,((w \ y) / u) \ z).
T(x,T((y \ z) / u,w)) = T(x,T(y \ (z / u),w)).
T(x,y \ (z \ u)) = T(x,T(z \ (u / y),y)).
T(x,T(y \ (z / u),u)) = T(x,u \ (y \ z)).
T(x,T(y \ (z / (u \ w)),v5)) = T(x,T((w / (y \ z)) \ u,v5)).
T(x,T((y / (z \ u)) \ w,v5)) = T(x,T(z \ (u / (w \ y)),v5)).
T(x,T(y \ z,u)) = T(x,u \ (y \ (z * u))).
T(x,y \ (z \ (u * y))) = T(x,T(z \ u,y)).
T(x,T(y \ K(z,u),z)) = T(x,z \ (y \ T(z,u))).
T(x,y \ (z \ T(y,u))) = T(x,T(z \ K(y,u),y)).
(1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x).
R(a(x,y,x) \ z,a(x,y,x),z \ x) = x / (z \ R(x,y,x)).
(x * y) / T(x * a(z,u,w),y) = (y * x) / (a(z,u,w) * x).
(x * y) / (a(z,u,w) * y) = (a(z,u,w) * y) \ (y * x).
(x * y) / (y * a(z,u,w)) = (a(z,u,w) * y) \ (y * x).
(a(x,y,z) * u) \ (u * (a(x,y,z) * w)) = R(w,a(x,y,z),u).
(x * (a(y,z,u) \ w)) / w = w \ ((a(y,z,u) \ w) * x).
(x \ ((a(y,z,u) \ x) * w)) * a(y,z,u) = a(y,z,u) * R(a(y,z,u) \ w,a(y,z,u),a(y,z,u) \ x).
a(x,y,z) * R(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = (w \ ((a(x,y,z) \ w) * u)) * a(x,y,z).
K(x,y) * (z \ ((a(u,w,v5) \ z) * T(y,x))) = (y * (a(u,w,v5) \ z)) / z.
a(x * (y * L(z,x,y)),u,w) = a(x * R(y * z,x,y),u,w).
a(x * R(y * z,x,y),u,w) = a(x * (y * L(z,x,y)),u,w).
K((x \ (1 / y)) * z,u) = K(y \ (z / x),T(u,y \ z)).
K(x \ (y / z),T(u,x \ y)) = K((z \ (1 / x)) * y,u).
K((x \ (1 / y)) * z,u) = K((y * x) \ z,u).
K((x * y) \ (x * z),u) = K(y \ z,u).
K(x \ (y * z),u) = K((y \ x) \ z,u).
K((x \ y) \ z,u) = K(y \ (x * z),u).
K((x * y) \ z,u) = K(y \ (x \ z),u).
K(x \ ((x / y) * z),u) = K(y \ z,u).
K((x * (y * z)) \ ((x * y) * u),w) = K(L(z,y,x) \ u,w).
K((x * y) \ x,z) = K(L(y,x,u) \ 1,z).
K(L(x,y,z) \ 1,u) = K((y * x) \ y,u).
K((x \ y) \ z,u) = K((y \ x) * z,u).
K(x \ (y * z),T(u,z)) = K(z / (y \ x),u).
K((x * y) \ z,u) = K(T(x,y) \ (y \ z),u).
K(T(x,y) \ (y \ z),u) = K((x * y) \ z,u).
x * K(y \ (z \ x),z * y) = ((z * y) \ x) * (z * y).
K(T(x * y,x) \ z,u) = K(R(x,y,x) \ (y \ z),u).
K(R(x,y,x) \ (y \ z),u) = K(T(x * y,x) \ z,u).
T((x * y) \ z,u) = ((x * y) \ z) * K(y \ (x \ z),u).
((x * y) \ z) * K(y \ (x \ z),u) = T((x * y) \ z,u).
K(x \ (y \ z),T(u,z)) = K(z / (y * x),u).
K(L(x,y,z) \ 1,u) = K(x \ 1,u).
K(L(x \ 1,y * x,z) \ 1,u) = K(L(x,y,z),u).
T(T(x,L(y,z,u) \ 1),K(y \ 1,w)) = T(x,T(L(y,z,u) \ 1,w)).
K(T(x,y) \ (y \ z),u) = K(y \ (x \ z),u).
K(x \ (y \ z),y) = K(y \ (x \ z),y).
K(x \ ((y \ 1) \ z),x) = K(y * (x \ z),x).
K(L(x,y,z),u) = K((x \ 1) \ 1,u).
K(L(x,y,z),u) = K(x,u).
T(L(x,y,z),u) = K(x,u) * L(x,y,z).
K(x,y) * L(x,z,u) = T(L(x,z,u),y).
(L(x,y,z) * u) / L(x,y,z) = u * K(x,u).
L(x,y,z) * (K(x,u) * w) = T(L(x,y,z),u) * w.
(x * y) / (K(z,x) * y) = T(x,L(z,u,w)).
T(x,L(y,z,u)) = (x * w) / (K(y,x) * w).
L(x,y,z) \ L(T(x,u),y,z) = K(x,u).
L(K(x,y),z * x,u) = K(x,y).
T(a(x,y,z) * L(u,w,v5),K(u,v6)) = L(u,w,v5) * a(x,y,z).
K(x,y) * K(y,y \ L(x,z,u)) = a(y,y \ L(x,z,u),y).
L(K(x,y),z,u) = K(x,y).
(x * (y * z)) \ (x * (z * y)) = K(z,y).
a(x,y,K(z,u)) = 1.
(x * y) * K(z,u) = x * (y * K(z,u)).
x \ K(y,z) = (x \ 1) * K(y,z).
(x \ 1) * K(y,z) = x \ K(y,z).
(1 / x) * (x * K(y,z)) = K(y,z).
(1 / x) \ K(y,z) = x * K(y,z).
x * K(y,z) = u * ((u \ x) * K(y,z)).
x * ((x \ y) * K(z,u)) = y * K(z,u).
x * K(y,z) = (x / u) * (u * K(y,z)).
(x / y) * (y * K(z,u)) = x * K(z,u).
L(x,y,z) * (x \ K(u,w)) = (x \ L(x,y,z)) * K(u,w).
(x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)).
K(x,y) / (z * K(x,y)) = 1 / z.
a(x,y,1) = 1.
(x \ K(y,z)) / K(y,z) = x \ 1.
(x * (y \ 1)) * K(z,u) = R(y / x,x,y \ 1) \ K(z,u).
R(x / y,y,x \ 1) \ K(z,u) = (y * (x \ 1)) * K(z,u).
x \ K(y,y \ (x \ 1)) = y * ((x \ 1) / y).
K(x,y) * (z \ K(y,x)) = T(z \ 1,K(y,x)).
L(x,y,z \ K(u,w)) = L(x,y,z \ 1).
T(((x \ (x / y)) \ 1) * K(y,z),y) = (x \ (x / y)) \ K(y,z).
a(x \ K(y,z),u,w) = a(x \ 1,u,w).
T((x \ (x / y)) \ 1,z \ (z / u)) * 1 = (x \ (x / y)) \ K(y,u \ 1).
(x \ (x / y)) \ K(y,z \ 1) = T((x \ (x / y)) \ 1,u \ (u / z)) * 1.
a(x,y,z) \ K(u,w) = K(u,w) * (a(x,y,z) \ 1).
K(x,y) * (a(z,u,w) \ 1) = a(z,u,w) \ K(x,y).
(x \ K(y,x)) \ 1 = T(T(x,y),x \ 1).
(1 / x) * ((y \ x) * y) = K(y \ x,y).
K(x,y) / (x * y) = 1 / (y * x).
K(x,y) / (z * y) = 1 / (z * T(y,x)).
x \ 1 = (x \ K(y,z)) * K(z,y).
(x \ K(y,z)) * K(z,y) = x \ 1.
K(x,y \ 1) / (x * ((z * y) \ z)) = 1 / (((z * y) \ z) * x).
L(T(x,y),z,u) = K(x,y) * L(x,z,u).
K(x,y) * L(x,z,u) = L(T(x,y),z,u).
T(x,y) \ T(L(x,z,u),y) = x \ L(x,z,u).
L(x,y,z) * K(x,u) = L(T(x,u),y,z).
R(x,y,K(z,u)) = x.
x \ (y * K(z,u)) = (x \ y) * K(z,u).
(x * (y * z)) * K(u,w) = (x * y) * (L(z,y,x) * K(u,w)).
(x * y) * (L(z,y,x) * K(u,w)) = (x * (y * z)) * K(u,w).
R(x,y,y \ 1) * K(z,u) = (x * y) * ((y \ 1) * K(z,u)).
(x * y) * ((y \ 1) * K(z,u)) = R(x,y,y \ 1) * K(z,u).
(R(x,y,z) \ x) * K(u,w) = x * (R(x \ 1,y,z) * K(u,w)).
x * (R(x \ 1,y,z) * K(u,w)) = (R(x,y,z) \ x) * K(u,w).
(x \ R(x,y,z)) * K(u,w) = (1 / x) * (R(x,y,z) * K(u,w)).
(1 / x) * (R(x,y,z) * K(u,w)) = (x \ R(x,y,z)) * K(u,w).
K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)).
(x * y) * K(y \ z,y) = x * (z / (z / y)).
T(x * (y * K(z,x * y)),z) = x * y.
T(x * y,z) = x * (y * K(x * y,z)).
x * (y * K(x * y,z)) = T(x * y,z).
(x * y) * K(z,y) = x * ((z * y) / z).
(x * (y / z)) * K(z \ y,z) = x * (z \ y).
T(T(x,y) * z,K(x,y)) = x * (z * K(x,y)).
x * ((y \ 1) * K(x / y,z)) = T(x * (y \ 1),z).
K(x,y) * T(y * x,z) = x * (y * K(y * x,z)).
(x * y) * ((x \ 1) * K(y,x)) = R(y,x,x \ 1).
L(x,y,z * (u * K(w,v5))) = L(x,y,z * u).
(x * (y * K(z,u))) / T(z,u) = (x * y) / z.
(x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y).
(x * y) * ((y \ z) * K(z,u)) = R(x,y,y \ z) * T(z,u).
a(x * (y * (z * K(u,w))),v5,v6) = a(x * (y * T(z,v7)),v5,v6).
a(x * (y * T(z,u)),w,v5) = a(x * (y * (z * K(v6,v7))),w,v5).
(x * (y * K(z,u))) * z = (x * y) * T(z,u).
a(x,y,z) * (u * K(w \ (u * a(x,y,z)),w)) = (w \ (u * a(x,y,z))) * w.
x * (y * K(z,T(u,x * y))) = K(z,u) * (x * y).
(x * y) / K(z,u) = x * (y * K(u,z)).
(x / K(y,z)) / u = x / (u * K(y,z)).
(x / y) \ (x * K(z,u)) = y * K(z,u).
x / (y / K(z,u)) = (x * K(z,u)) / y.
(x * K(y,z)) / u = x / (u / K(y,z)).
K(x,y) / z = 1 / (z * K(y,x)).
1 / (x * K(y,z)) = K(z,y) / x.
x * y != R(x,z,u) * w | y = R(x,z,u) * (x \ w).
(x \ R(x,y,z)) * K(u,w) = R(x,y,z) * (x \ K(u,w)).
x * ((y \ (x \ y)) * y) = y * K(x \ 1,y).
T(x,y) = z * ((z \ x) * K(x,y)).
x * ((x \ y) * K(y,z)) = T(y,z).
x \ T(y,z) = (x \ y) * K(y,z).
(x \ y) * K(y,z) = x \ T(y,z).
(x / y) * (y * K(x,z)) = T(x,z).
(x \ T(y,z)) / K(y,z) = x \ y.
x * K(y * x,z) = y \ T(y * x,z).
x \ T(x * y,z) = y * K(x * y,z).
L(K(x,y),z \ x,u) = (u * (z \ x)) \ (u * (z \ T(x,y))).
(x * (y \ z)) \ (x * (y \ T(z,u))) = L(K(z,u),y \ z,x).
T(x,y) * K(x * y,z) = y \ T(x * y,z).
x * K(y,z) = (y / x) \ T(y,z).
(x / y) \ T(x,z) = y * K(x,z).
(x \ y) * K(y,y \ z) = x \ ((y \ z) \ z).
x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z).
T(x,x \ y) * K(y,z) = (x \ y) \ T(y,z).
L(x,1 / x,y) * K(y,z) = (y * (1 / x)) \ T(y,z).
(x * (y \ z)) * K(z,u) = R(y / x,x,y \ z) \ T(z,u).
R(x / y,y,x \ z) \ T(z,u) = (y * (x \ z)) * K(z,u).
K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1).
x \ T(y,y \ (x \ y)) = y * ((x \ y) / y).
L(x,y,z \ T(u,w)) = L(x,y,z \ u).
(x \ T(y,z)) / T(y,z) = (x \ y) / y.
(x \ 1) \ T(y,x) = (x \ ((x \ 1) \ y)) * x.
(x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x).
R(1 / x,y,z) * T(x,u) = R(x,y,z) \ T(x,u).
a(x \ T(y,z),u,w) = a(x \ y,u,w).
a(x * (y \ T(z,u)),w,v5) = a(x * (y \ z),w,v5).
1 / (x \ T(y,z)) = K(z,y) / (x \ y).
K(x,y) / (z \ y) = 1 / (z \ T(y,x)).
T(x,y) / (z * K(x,y)) = x / z.
x \ y = (x \ T(y,z)) * K(z,y).
(x \ T(y,z)) * K(z,y) = x \ y.
T(x,y) \ T(x * y,z) = T(y,x) * K(x * y,z).
x / (y * K(x,z)) = K(z,x) * (x / y).
(x \ R(y,z,u)) \ T(R(y,z,u),w) = T(x,x \ y) * K(R(y,z,u),w).
((a(x,y,z) \ 1) \ u) \ T(u,w) = (a(x,y,z) \ 1) * K(u,w).
T(x,y) / (z * T(x,y)) = x / (z * x).
T(x,y) / (z \ 1) = x / (z \ K(y,x)).
T(x,y) / (z * (u * K(x,y))) = x / (z * u).
x * K(y,z) = (T(z,y) / x) \ z.
(T(x,y) / z) \ x = z * K(y,x).
K(x,y) * (z \ x) = T(z \ T(x,y),K(y,x)).
T(x \ T(y,z),K(z,y)) = K(y,z) * (x \ y).
x / (y * K(z,x)) = T(x,z) / y.
(K(x,y) * z) \ x = (z \ x) * K(y,x).
x / (y * K(z,T(x,u))) = K(u,x) * (T(T(x,u),z) / y).
K(x,y) * (T(T(y,x),z) / u) = y / (u * K(z,T(y,x))).
x / (y * K(z,T(x,u))) = T(x,T(z,u)) / y.
(x / (y * z)) * (z * y) = x * K(z,y).
(x / (y / (y / z))) * z = x * K(z,z \ y).
(x / ((y * z) / y)) * z = x * K(z,y).
a(((x / y) \ z) \ 1,u,w) = a(((y \ x) \ z) \ 1,u,w).
T(T(x,y),x \ 1) \ 1 = T(T(x,y) \ 1,x).
x * ((y \ (x \ 1)) * y) = K(y \ (x \ 1),y).
K(K(x \ y,x) \ z,u) = K(((x \ y) * x) \ ((1 / y) \ z),u).
K(((x \ y) * x) \ ((1 / y) \ z),u) = K(K(x \ y,x) \ z,u).
K(x * y,y) / (x * y) = 1 / (L(y,x,y) * x).
T(x,y) \ L(T(x,y),z,u) = x \ L(x,z,u).
L(T(x,y),z,u) \ w = L(x,z,u) \ (K(y,x) * w).
L(x,y,z) \ (K(u,x) * w) = L(T(x,u),y,z) \ w.
x \ L(T(x,y),z,u) = K(x,y) * (x \ L(x,z,u)).
K(x,y) * (x \ L(x,z,u)) = x \ L(T(x,y),z,u).
L(T(x,y),z,u) \ L(x,z,u) = K(y,x).
x \ (y * K(z,u)) != w * K(z,u) | x \ y = w.
x \ (y * z) = (x \ (z * y)) * K(y,z).
(x \ (y * z)) * K(z,y) = x \ (z * y).
x \ ((y \ z) * y) = (x \ z) * K(y \ z,y).
(x \ y) * K(z \ y,z) = x \ ((z \ y) * z).
(L(x,y,z) \ x) * K(u,w) = x * (L(x,y,z) \ K(u,w)).
x \ R(y * K(z,u),w,v5) = (x \ R(y,w,v5)) * K(z,u).
x \ (y * (z / y)) = (x \ z) * K(y,y \ z).
(x \ y) * K(z,z \ y) = x \ (z * (y / z)).
x \ ((y \ (z \ y)) * y) = (x \ (z \ y)) * K(z \ 1,y).
x \ (y / (y / z)) = (x \ z) * K(z \ y,z).
x \ ((y * z) / y) = (x \ z) * K(y,z).
x \ (y / z) = (x \ (z \ y)) * K(z,z \ y).
(x \ (y \ z)) * K(y,y \ z) = x \ (z / y).
x \ T(y * K(z,u),z) = (x \ T(y,z)) * K(z,u).
L(x,y,z \ (u * K(w,v5))) = L(x,y,z \ u).
x \ (y * T(z,u)) = (x \ (y * z)) * K(z,u).
(x \ (y * z)) * K(z,u) = x \ (y * T(z,u)).
(x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y).
x \ (K(y,z) * u) = (x \ u) * K(y,T(z,u)).
(x \ y) * K(z,T(u,y)) = x \ (K(z,u) * y).
x \ (y * K(z,y)) = (x \ L(y,z,y)) * K(y * z,y).
(x \ L(y,z,y)) * K(y * z,y) = x \ (y * K(z,y)).
x \ (y / T(z,u)) = (x \ (y / z)) * K(u,z).
(x \ (y / z)) * K(u,z) = x \ (y / T(z,u)).
(x \ y) * K(z,x) = T(y / T(x,z),x).
T(x / T(y,z),y) = (y \ x) * K(z,y).
x \ (y \ K(z,u)) = (x \ (y \ 1)) * K(z,u).
(x \ (y \ 1)) * K(z,u) = x \ (y \ K(z,u)).
x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w).
x \ (y \ T(z,u)) = (x \ (y \ z)) * K(z,u).
(x \ (y \ z)) * K(z,u) = x \ (y \ T(z,u)).
T((x \ 1) * (y * K(z,x \ y)),z) = (x \ 1) * y.
x * (((1 / x) * y) * K(y,z)) = T(x * ((1 / x) * y),z).
x * ((y / z) * K(x * (z \ y),z)) = T(x * (y / z),z).
x * (y * K(y * x,z)) = T(x * y,T(z,x)).
(x \ y) * (x * K(y,T(z,x))) = T((x \ y) * x,z).
((1 / x) * y) * (x * K(y,T(z,x))) = T(((1 / x) * y) * x,z).
x * (T(y / z,x * z) \ y) = T(x * z,z \ y).
(x * ((y * z) / y)) * y = (x * z) * T(y,z).
(x * y) / z = (y * x) / (z * K(y,x)).
(x * y) / (z * K(x,y)) = (y * x) / z.
(x * y) / z = (x * T(y,u)) / (z * K(y,u)).
(x * T(y,z)) / (u * K(y,z)) = (x * y) / u.
(x * K(y,z)) / u = x / (u * K(z,y)).
(x * (y * K(z,u))) / w = (x * y) / (w * K(u,z)).
(x / y) \ (K(z,u) * x) = y * K(z,T(u,x)).
(x * K(y,y \ z)) / z = x / ((y \ z) * y).
L(x * K(y * x,z),y,z) = (z * y) \ ((y * x) * z).
(x * y) \ (x \ T(x * y,y)) = (L(y,x,y) * x) \ y.
T(x * y,z) / y = y \ T(y * x,z).
x \ T(x * (1 / y),y) = (1 / y) * K(y \ x,y).
T(x \ T(x * y,z),x) = x \ T(y * x,z).
a(x \ T(x * y,z),u,w) = a(y,u,w).
L(x,y,z \ L(T(u,w),v5,v6)) = L(x,y,z \ L(u,v5,v6)).
L(x,y,z \ (u \ w)) = L(x,y,z \ (w / u)).
L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)).
L(x,y,z \ ((u \ w) \ w)) = L(x,y,z \ u).
L(x,y,z \ L(u,w,u)) = L(x,y,z \ ((w * u) / w)).
L(x,y,z \ R(u,w,w \ 1)) = L(x,y,z \ ((w * u) * (w \ 1))).
L(x,y,z \ ((u * w) * (u \ 1))) = L(x,y,z \ R(w,u,u \ 1)).
((x \ y) / y) * K(z,T(y,u)) = (x \ T(y,u)) / T(T(y,u),z).
(x \ T(y,z)) / T(T(y,z),u) = ((x \ y) / y) * K(u,T(y,z)).
a(x \ (y \ z),u,w) = a(x \ (z / y),u,w).
a(x \ (y / z),u,w) = a(x \ (z \ y),u,w).
a(x \ ((y \ z) \ z),u,w) = a(x \ y,u,w).
1 / (x \ T(y,(x \ y) \ 1)) = T(1 / (x \ y),y).
K(x,y) / ((y * x) \ y) = 1 / ((x * y) \ y).
x / (y * T(x,z)) = K(z,x) * (x / (y * x)).
K(x,y) * (y / (z * y)) = y / (z * T(y,x)).
x / (y / T(z,x)) = K(z,x) * (x / (y / z)).
K(x,y) * (y / (z / x)) = y / (z / T(x,y)).
x / (y \ K(x,z)) = K(z,x) * (x / (y \ 1)).
K(x,y) * (y / (z \ 1)) = y / (z \ K(y,x)).
x / L(T(x,y),z,u) = K(y,x) * (x / L(x,z,u)).
K(x,y) * (y / L(y,z,u)) = y / L(T(y,x),z,u).
R(1 / x,x,T(y,z)) = y / (x * y).
T(T(T(x,y),z \ 1) / (z * T(x,y)),T(x,y)) = x / (z * x).
R(1 / x,x,y \ z) = (z / y) / (x * (z / y)).
R(1 / x,x,y) = R(1 / x,x,T(y,z)).
R(1 / x,x,T(y,z)) = R(1 / x,x,y).
(K(x,y) / z) \ x = ((1 / z) \ x) * K(y,x).
((1 / x) \ y) * K(z,y) = (K(y,z) / x) \ y.
(x / ((y \ z) * y)) * z = x * K(y,y \ z).
(x * K(y,z)) / y = x / ((z * y) / z).
T(x / ((y * z) / y),z) = z \ (x * K(z,y)).
K(x,y) = K(x,L(y,z,u)).
K(x,L(y,z,u)) = K(x,y).
K(x,(y * z) \ (y * u)) = K(x,z \ u).
K(x,(y * z) \ u) = K(x,z \ (y \ u)).
K(x,y \ (z * u)) = K(x,(z \ y) \ u).
K(x,(y \ z) \ u) = K(x,z \ (y * u)).
K(x,T((y * z) \ u,w)) = K(x,T(z \ (y \ u),w)).
x / (x / L(y,z,u)) = L(y,z,u) * K(L(y,z,u) \ x,y).
K(x,y) * (L(y,z,u) * x) = x * L(y,z,u).
K(x,y) * (L(T(y,x),z,u) * w) = L(y,z,u) * w.
T(x,y \ (z * x)) = T(x,y \ (x * z)).
(x \ (y * z)) * y = (x \ (z * y)) * T(y,z).
(x \ (y * z)) * T(z,y) = (x \ (z * y)) * z.
(x * ((x \ y) * z)) * K(z,y) = a(x,x \ y,z) \ (z * y).
K(x,y) * (z \ (y * x)) = T(z \ (x * y),K(x,y)).
T(x \ (y * z),K(y,z)) = K(y,z) * (x \ (z * y)).
K(x,y) * K(x * y,z) = (z * (y * x)) \ ((x * y) * z).
(x * (y * z)) \ ((z * y) * x) = K(z,y) * K(z * y,x).
((1 / (x / (x * y))) \ y) * K(x,y) = ((x * y) / x) * (x / (x * y)).
x \ T(x / T(y,y \ 1),y) = T(x \ (y \ x),y).
T(x / T(y,T(z,u)),y) = (y \ x) * K(z,T(y,u)).
(x * y) / (z * T(x,y)) = (y * x) / (z * x).
T(x / (y * K(z,u)),y) = y \ (x * K(u,z)).
(x * K(y \ z,y)) / (y \ z) = x / (z / y).
((1 / (1 / x)) \ y) / z = (x \ y) / (z * K(x \ 1,x)).
(x \ y) / (z * K(x \ 1,x)) = ((1 / (1 / x)) \ y) / z.
x / (y * K(z,y)) = (x / y) * K(y,z).
(x / (y * K(z,y \ 1))) * (1 / y) = (x * T(y \ 1,z)) / y.
x / (x * K(y,z)) = K(z,T(y,x)).
(x \ K(y,z)) / u = (x \ 1) / (u * K(z,y)).
(x \ 1) / (y * K(z,u)) = (x \ K(u,z)) / y.
R(K(x,T(y,z)),z * K(y,x),u) = (z * u) / ((z * K(y,x)) * u).
x / (x * K(y / z,u)) = K(u,T(R(y,w,v5) / z,x)).
K(x,T(R(y,z,u) / w,v5)) = v5 / (v5 * K(y / w,x)).
T(x,y) / z = z \ T(z * (x / z),y).
x \ T(x * (y / x),z) = T(y,z) / x.
R(1 / x,x,y) = T(y,x) / (y * x).
T(x,y) / (x * y) = R(1 / y,y,x).
T(R(1 / x,x,y),y * x) = (y * x) \ T(y,x).
(T(x,y) * K(x * y,z)) / T(x * y,z) = R(1 / y,y,x).
x / ((y * z) / y) = (x / z) * K(z,y).
K(x,(y * z) \ y) = K(x,L(z,y,u) \ 1).
K(x,L(y,z,u) \ 1) = K(x,(z * y) \ z).
K(x,(y * z) \ u) = K(x,T(y,z) \ (z \ u)).
K(x,T(y,z) \ (z \ u)) = K(x,(y * z) \ u).
K(x,(y \ R(y,z,u)) \ w) = K(x,(y \ 1) \ (R(y,z,u) \ w)).
K(x,(y \ 1) \ (R(y,z,u) \ w)) = K(x,(y \ R(y,z,u)) \ w).
(x \ (y \ z)) \ K(x \ (y \ z),z \ (y * x)) = 1 / (x \ (y \ z)).
T(x / (y \ z),u) \ x = (y \ z) * K(u,z \ (y * x)).
T(x,y \ (z * x)) = T(x,(y \ x) * z).
x / (y / z) = (x / (z \ y)) * K(z \ y,z).
(x / (y \ z)) * K(y \ z,y) = x / (z / y).
((x * K(y,T(z,u))) / z) * K(z,u) = x / T(z * K(u,z),y).
x * (T(y,z) / x) = T(x * (y / x),z).
T(x * (y / x),z) = x * (T(y,z) / x).
(x / T(y,(z \ y) * u)) / (x / y) = K(z \ (u * y),T(y,x)).
T(x,L(y,z,u)) = T(x,y).
T(x,T(L(y,z,u),w)) = T(x,T(y,w)).
L(x,y,z) * T(u,x) = u * L(x,y,z).
T(x / L(y,z,u),y) = L(y,z,u) \ x.
T(x,(y * z) \ (y * u)) = T(x,z \ u).
T(x,(y * z) \ u) = T(x,z \ (y \ u)).
T(x,y \ (z * u)) = T(x,(z \ y) \ u).
T(x,(y \ z) \ u) = T(x,z \ (y * u)).
T(x,y \ ((y / z) * u)) = T(x,z \ u).
T(x,(y * z) \ (z * u)) = T(x,T(y,z) \ u).
T(x,T((y * z) \ u,w)) = T(x,T(z \ (y \ u),w)).
x \ T(L(y,z,u) * x,y) = L(R(y,x,L(y,z,u)),z,u).
L(R(x,y,L(x,z,u)),z,u) = y \ T(L(x,z,u) * y,x).
T(x * K(x \ L(y,z,u),x),y) = L(x,x \ L(y,z,u),x).
T(x,T(y,z) / L(z,u,w)) = T(x,L(z,u,w) \ y).
L(x,y,z) * K(u,T(w,x)) = K(u,w) * L(x,y,z).
K(L(x,y,z) \ T(u,x),w) = K(u / L(x,y,z),w).
T(x,T(y \ z,u * z)) = T(x,(u * z) / (u * y)).
T(x,T(y \ (y / z),u)) = T(x,T(z \ 1,u)).
L(x,y,z) * (x \ u) = (u / x) * L(x,y,z).
L(x \ y,z,u) * ((x \ y) \ y) = x * L(x \ y,z,u).
L(R(x,y,z),u,w) * T(v5,x) = v5 * L(R(x,y,z),u,w).
(x / L(x,y,z)) * (u * L(x,y,z)) = L(u,L(x,y,z),L(x,y,z) \ x) * x.
L(x,L(y,z,u),L(y,z,u) \ y) * y = (y / L(y,z,u)) * (x * L(y,z,u)).
L(L(x,y,z),u,w) * T(v5,x) = v5 * L(L(x,y,z),u,w).
x * (L(x,y,z) \ u) = (u / L(x,y,z)) * x.
(x / L(y,z,u)) * y = y * (L(y,z,u) \ x).
T((x / y) * z,z \ y) = L(z \ y,z,y \ x) \ x.
L(x \ y,x,y \ z) \ z = T((z / y) * x,x \ y).
T((x / (y * z)) * y,z) = L(z,y,(y * z) \ x) \ x.
L(x,y,(y * x) \ z) \ z = T((z / (y * x)) * y,x).
L(L(x,y,z),u,w) \ v5 = T(v5 / L(L(x,y,z),u,w),x).
T(x / L(L(y,z,u),w,v5),y) = L(L(y,z,u),w,v5) \ x.
T(x * y,y \ z) = ((x * y) \ (x * z)) \ (x * z).
(x * y) / T(x * z,z \ y) = (x * z) \ (x * y).
T(x,y \ (z \ (u * y))) = T(x,T(u / z,u * y)).
T(x,T(y / z,y * u)) = T(x,u \ (z \ (y * u))).
T(x,y \ (((z * y) \ z) \ 1)) = x.
T(x,y \ z) = T(x,((u * y) \ u) * z).
T(x,((y * z) \ y) * u) = T(x,z \ u).
T((x * y) \ (x * z),z \ y) = (((x * y) \ (x * z)) \ 1) \ 1.
T(x,(y * z) \ y) = T(x,L(z,y,u) \ 1).
T(x,L(y,z,u) \ 1) = T(x,(z * y) \ z).
(x \ (((y * x) \ y) \ 1)) \ z = z / (x \ (((y * x) \ y) \ 1)).
x / (y \ (((z * y) \ z) \ 1)) = (y \ (((z * y) \ z) \ 1)) \ x.
T(x,y \ ((z \ (z / y)) \ 1)) = x.
T(x,y \ z) = T(x,u \ ((y / u) \ z)).
T(x,y \ ((z / y) \ u)) = T(x,z \ u).
T(x,(y * z) \ u) = T(x,T(y,z) \ (z \ u)).
T(x,T(y,z) \ (z \ u)) = T(x,(y * z) \ u).
(x * ((y * z) \ u)) / T(x,z \ (y \ u)) = (y * z) \ u.
T(x * y,y \ (x \ z)) = ((x * y) \ z) \ z.
T(x,((y * (z * y)) / y) \ u) = T(x,z \ (L(y,z,y) \ u)).
(x * ((y * x) \ 1)) / ((y * x) * ((y * x) \ 1)) = T(((1 / x) * (y \ 1)) * x,x \ (y \ 1)).
T(x,y \ (z \ R(z * y,u,w))) = x.
T(x,y \ ((T(z,y \ u) / u) \ 1)) = T(x,z \ ((1 / y) * u)).
x / T(T(y * z,y \ (L(z,y,z) \ x)),u) = T(T(L(z,y,z) * y,z),u) \ x.
T(x,(y * a(z,u,w)) \ v5) = T(x,y \ (a(z,u,w) \ v5)).
T(x,y \ ((z * u) \ (z * (u * y)))) = T(x,z / R(z,u,y)).
T(x,(y * z) \ (u * z)) = T(x,T(y \ u,z)).
(x \ (y \ R(y * x,z,u))) * x = y \ R(y * x,z,u).
(x \ R(x * y,z,u)) / y = y \ (x \ R(x * y,z,u)).
T(x \ y,y \ (x * z)) = ((x \ y) \ z) \ z.
T(x,(y \ (y / z)) \ (z \ 1)) = x.
T(x,(y \ K(z,u)) \ w) = T(x,K(u,z) * (y * w)).
T(x,(y \ z) \ u) = T(x,(z \ y) * u).
T(x,(y \ z) \ (1 / u)) = T(x,z \ (y * (u \ 1))).
T(x,y \ (z * (y / u))) = T(x,T(z,y) / u).
T(x,T(y,z * y) \ ((z \ 1) * u)) = T(x,z \ ((u \ y) \ 1)).
(1 / (x \ (x / y))) / y = y \ (1 / (x \ (x / y))).
((x / y) * z) / T(x,y \ z) = x \ ((x / y) * z).
T(x,(y * z) \ z) = T(x,y \ K(z,y)).
T(x,y \ z) = T(x,(u \ (u / y)) * z).
T(x,(y \ (y / z)) * u) = T(x,z \ u).
T(x,y \ (z * u)) = T(x,T((y / u) \ z,u)).
T(x,T((y / z) \ u,z)) = T(x,y \ (u * z)).
T(x,T(y \ 1,z)) = T(x,y \ K(z,y)).
T(x,(x * y) \ y) = T(x,x \ 1).
T(x,y \ K(z,y)) = T(x,z \ (y \ z)).
T(x,y \ (x \ y)) = T(x,x \ 1).
(x \ (y \ x)) * T(y,y \ 1) = y * (x \ (y \ x)).
T(x,(R(y,z,u) \ R(y / w,z,u)) * v5) = T(x,R(w,z,u) \ v5).
T(x,(y \ (y / (z / u))) * w) = T(x,(u / z) * w).
T(x,y \ ((z * x) \ z)) = T(x,x \ (u \ (u / y))).
T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1).
T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)).
(T(x,y) \ 1) * T(z,T(x \ 1,y)) = z * (x \ K(y,x)).
K(x,L(y,z,u) \ 1) = K(x,y \ 1).
((L(x,y,z) \ 1) \ u) * (L(x,y,z) \ 1) = u * K(u * L(x,y,z),x \ 1).
T(x,L(y,z,u) \ 1) = T(x,y \ 1).
x / T(x * L(y,z,u),y \ 1) = (x * L(y,z,u)) \ x.
(x * y) / x = (L(x,z,u) * y) / L(x,z,u).
(L(x,y,z) * u) / L(x,y,z) = (x * u) / x.
T(x,x \ y) \ L((x \ y) \ y,z,u) = x \ L(x,z,u).
K(x \ 1,x) * (y * x) = y * (1 / (1 / x)).
x * (1 / (1 / x)) = x / (x \ 1).
K(x * (y * (z \ u)),z) = K(x * (y * (u / z)),z).
K(x * (y * (z / u)),u) = K(x * (y * (u \ z)),u).
(x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y.
L(x,y,z * u) = L(x,y,z * (K(w,v5) * u)).
L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5).
L(x,y,z * (u * T(w,v5))) = L(x,y,z * (u * w)).
L(x,y,z * (u / w)) = L(x,y,z * (u / T(w,v5))).
L(x,y,z * (u / T(w,v5))) = L(x,y,z * (u / w)).
L(x,y,z * (u * (w * K(v5,v6)))) = L(x,y,z * (u * w)).
L(x,y,z * (u \ T(w,v5))) = L(x,y,z * (u \ w)).
L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u * (v5 / w))).
L(x,y,z * (u * (w / v5))) = L(x,y,z * (u * (v5 \ w))).
(x * (y \ T(z,u))) / T(z,u) = (x * (y \ z)) / z.
(x * (y * T(z,u))) \ ((x * y) * T(z,u)) = a(x,y * K(z,u),z).
(x * (y \ 1)) * z = (x * (y \ K(u,z))) * T(z,u).
(x * (y \ K(z,u))) * T(u,z) = (x * (y \ 1)) * u.
a(x,y \ (x \ y),y) = (y * K(x \ 1,y)) \ ((x * (y \ (x \ y))) * y).
(x * K(y \ 1,x)) \ ((y * (x \ (y \ x))) * x) = a(y,x \ (y \ x),x).
(x * K(y \ 1,x)) / L(x,x \ (y \ x),y) = y * (x \ (y \ x)).
(x * K(y \ 1,x)) * a(y,x \ (y \ x),x) = (y * (x \ (y \ x))) * x.
T(x,y) * K(x * y,x) = R(x,y,x).
T(x * y,x) \ (y \ T(x * y,x)) = (x * y) \ T(x,y).
K(x,y) * (K(x * y,z) * K(x,K(x * y,z))) = (y \ T(x * y,z)) / x.
T(x,y) * K(y * x,z) = y \ T(x * y,T(z,y)).
x \ T(y * x,T(z,x)) = T(y,x) * K(x * y,z).
T(x,y \ 1) * K(x * (x \ (y \ x)),x) = R(x,x \ (y \ x),x).
T(x,y \ 1) * K(x / y,x) = R(x,y \ 1,x).
x \ T(y,x \ 1) = y * ((x \ y) / y).
(1 / x) \ T((x \ 1) / x,(1 / x) \ 1) = ((x \ 1) / x) * ((1 / x) / ((x \ 1) / x)).
R(x,y,z) \ T(u,x \ 1) = u * ((R(x,y,z) \ u) / u).
T(x,y \ (z * (((u / y) \ z) / z))) = T(x,u \ T(z,(u / y) \ 1)).
T(x,y \ T(z,(y / u) \ 1)) = T(x,u \ (z * (((y / u) \ z) / z))).
((x \ 1) \ (((x \ 1) \ 1) \ y)) * (x \ 1) = T(x,x \ 1) \ T(y,x \ 1).
T(x,y) / (z * (u \ T(x,y))) = x / (z * (u \ x)).
L(x / (x / y),z,u) * y = ((x / (x / y)) * L(x / (x / y),z,u)) * K(y,y \ x).
((x / (x / y)) * L(x / (x / y),z,u)) * K(y,y \ x) = L(x / (x / y),z,u) * y.
a(x,y \ (x \ 1),y) = ((x * (y \ (x \ 1))) * y) / K(y \ (x \ 1),y).
((x * (y \ (x \ 1))) * y) / K(y \ (x \ 1),y) = a(x,y \ (x \ 1),y).
((x * x) \ x) \ L(T(x \ 1,x),y,z) = (x \ 1) \ L(x \ 1,y,z).
K(x,y) * ((x \ L(x,z,u)) * w) = (x \ L(T(x,y),z,u)) * w.
K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)).
(R(x / (x / y),z,u) \ y) * K(y \ x,y) = R((x / y) \ x,z,u) \ ((x / y) \ x).
R((x / y) \ x,z,u) \ ((x / y) \ x) = (R(x / (x / y),z,u) \ y) * K(y \ x,y).
T(x,y * (z \ (u / x))) = T(x,y * (z \ (x \ u))).
a(x * (y \ (z / u)),w,v5) = a(x * (y \ (u \ z)),w,v5).
(x \ (y / z)) * z = (x \ (z \ y)) * T(z,z \ y).
(x \ (y \ z)) * T(y,y \ z) = (x \ (z / y)) * y.
L(x,y,z * (u \ (w / v5))) = L(x,y,z * (u \ (v5 \ w))).
L(x,y,z \ u) = L(x,y,z \ (K(w,v5) * u)).
L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5).
L(x,y,z \ (u * T(w,v5))) = L(x,y,z \ (u * w)).
L(x,y,z \ (T(u,w) \ v5)) = L(x,y,z \ (u \ v5)).
L(x,y,z \ (u \ T(w,v5))) = L(x,y,z \ (u \ w)).
L(x,y,z \ (u \ (w * v5))) = L(x,y,z \ (u \ (v5 * w))).
(x \ (y * (z * K(u,z)))) * K(z * K(u,z),z * u) = x \ (y * L(z,u,z)).
K(x,y) * (z \ (u * T(y,x))) = T(z \ (u * y),K(y,x)).
L(x,y,z * (u \ (w * T(v5,v6)))) = L(x,y,z * (K(v5,v6) * (u \ (w * v5)))).
L(x,y,z * (K(u,w) * (v5 \ (v6 * u)))) = L(x,y,z * (v5 \ (v6 * T(u,w)))).
a(x \ (y * T(z,u)),w,v5) = a(x \ (y * z),w,v5).
a(x \ (y \ (z * T(u,w))),v5,v6) = a(x \ (K(u,w) * (y \ (z * u))),v5,v6).
a(x \ (K(y,z) * (u \ (w * y))),v5,v6) = a(x \ (u \ (w * T(y,z))),v5,v6).
x * K(y,T(z,u * x)) = u \ (K(y,z) * (u * x)).
x \ (K(y,z) * (x * u)) = u * K(y,T(z,x * u)).
((T(x,y) / z) \ 1) * K(u,T(w,K(y,x))) = (x / z) \ (K(u,w) * K(y,x)).
a(x \ (K(y,z) * u),w,v5) = a(x \ u,w,v5).
a(x * (y \ (K(z,u) * w)),v5,v6) = a(x * (y \ w),v5,v6).
x \ (y \ (K(z,u) * w)) = (x \ (y \ w)) * K(z,T(u,w)).
(x \ (y \ z)) * K(u,T(w,z)) = x \ (y \ (K(u,w) * z)).
L(x,y,z \ (u \ (K(w,v5) * v6))) = L(x,y,z \ (u \ v6)).
K(x \ 1,x) * (y \ (z / x)) = y \ (z / T(x,x \ 1)).
K(x,y) * (z \ (z / y)) = z \ (z / T(y,x)).
(x \ (y \ K(z,y))) * K(u,w) = x \ (T(y,z) \ K(u,w)).
a(x \ (y \ T(z,u)),w,v5) = a(x \ (y \ z),w,v5).
x * (T(y / z,z * x) \ y) = T(x * z,T(z \ y,x)).
(x * T(y,z)) / (u * T(y,z)) = (x * y) / (u * y).
x / (y * K(z,T(u,x))) = K(u,z) * (x / y).
(x / y) / x = (y \ x) / ((y \ x) * y).
(x \ y) / ((x \ y) * x) = (y / x) / y.
T((x \ (x / y)) * y,z) \ (x \ (x / y)) = L(y \ 1,y,x \ (y \ x)).
L(x,y,z \ ((u \ (w / v5)) * u)) = L(x,y,z \ (v5 \ w)).
L(x,y,x \ (((x \ 1) * z) \ z)) = x.
L(x,y,x \ (z \ ((x \ 1) \ z))) = x.
L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y).
a(x \ ((y \ (z / u)) * y),w,v5) = a(x \ (u \ z),w,v5).
a((1 / x) \ (x \ y),z,u) = a(x \ (y / (x \ 1)),z,u).
a(x \ (y \ z),x,y) \ z = ((z / y) / x) * (x * y).
a(x \ ((x \ 1) \ y),x,x \ 1) = ((y / (x \ 1)) / x) \ y.
a(x \ ((x \ 1) \ y),x,x \ 1) = y / ((y / (x \ 1)) / x).
R(K(x,y) / z,z,y) = y / (z * T(y,x)).
x / (y * T(x,z)) = ((z * x) / z) / (y * x).
((x * y) / x) / (z * y) = y / (z * T(y,x)).
(x \ y) / (z / T(x,x \ y)) = (y / x) / (z / x).
T(x / (y \ 1),x) = x / (y \ K(x,x / (y \ 1))).
x / (y \ K(x,x / (y \ 1))) = T(x / (y \ 1),x).
T(x / ((y * z) / y),z) = (z \ x) * K(z,y).
(x * y) \ (x * L(y,z,u)) = (y * x) \ (L(y,z,u) * x).
(x * y) \ (L(x,z,u) * y) = (y * x) \ (y * L(x,z,u)).
R(x / y,y,z) = (z * x) / (y * T(z,x)).
(x * y) / (x * L(y,z,u)) = (y * x) / (L(y,z,u) * x).
(x * y) / (L(x,z,u) * y) = (y * x) / (y * L(x,z,u)).
R(x / (T(y,x) \ R(T(y,x),z,u)),T(y,x) \ R(T(y,x),z,u),y) = (y * x) / R(T(y,x),z,u).
R((a(x,y,z) \ u) / w,w,u) = (u * (a(x,y,z) \ u)) / (w * u).
T(x / (y * K(z,u)),y) = (y \ x) * K(u,z).
(x / T(y,y \ z)) / (y \ z) = (x / y) / (z / y).
K(x,T(y,z) \ (z \ u)) = K(x,z \ (y \ u)).
T(x,y) * K(x \ y,x) = ((x * y) / x) / (y / x).
((x * y) / x) / (y / x) = T(x,y) * K(x \ y,x).
T(x,T(y,z) \ u) = T(x,z \ (y \ (z * u))).
T(x,y \ (z \ (y * u))) = T(x,T(z,y) \ u).
L(x,y,z) * u = ((x * u) / x) * L(x,y,z).
((x * y) / x) * L(x,z,u) = L(x,z,u) * y.
R(x,y / z,L(z,u,w)) * (L(z,u,w) * (z \ y)) = (x * (y / z)) * L(z,u,w).
(x * (y \ 1)) * R(L(y,z,u),y,y \ 1) = R(L(y,z,u) * (y \ x),y,y \ 1).
x * ((y / x) * L(x,z,u)) = L(x,z,u) * y.
x \ (L(x,y,z) * u) = (u / x) * L(x,y,z).
(1 / x) * L(x,y,z) = x \ L(x,y,z).
(x * L(y,z,u)) / y = L(y,z,u) * (y \ x).
L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x.
L(x,y,z) * (T(x,u) \ u) = (T(u,x) / x) * L(x,y,z).
L(x,y,z) * (x \ (y * z)) = (z * (T(y,z) * x)) / x.
a(x \ L(x,y,z),x,x \ u) = ((L(x,y,z) / x) * u) \ ((u / x) * L(x,y,z)).
((L(x,y,z) / x) * u) \ ((u / x) * L(x,y,z)) = a(x \ L(x,y,z),x,x \ u).
T((x / y) * L(y,z,u),K(w,(y \ x) * L(y,z,u))) = L(y,z,u) * (y \ x).
(x \ L(x,y,z)) / L(x,y,z) = 1 / x.
x * L(x \ 1,y,z) = (x \ 1) \ L(x \ 1,y,z).
(x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z).
K(x,y) * (z \ L(z,u,w)) = (K(x,y) / z) * L(z,u,w).
(K(x,y) / z) * L(z,u,w) = K(x,y) * (z \ L(z,u,w)).
x \ L(x,y,y \ (1 / x)) = ((1 / x) / y) * (y * x).
R(1 / x,x,x \ L(x,y,z)) = 1 / x.
R(x,x,x \ L(x,y,z)) = (1 / x) \ 1.
R(x,x,x \ L(x,y,z)) = x.
x \ R(y,x,x \ L(x,z,u)) = R(x \ y,x,x \ L(x,z,u)).
R(x \ y,x,x \ L(x,z,u)) = x \ R(y,x,x \ L(x,z,u)).
(x * (L(x,y,z) \ u)) / x = u / L(x,y,z).
(x * (L(x,y,z) \ u)) * L(x,y,z) = u * x.
(x * y) / L(y,z,u) = y * (L(y,z,u) \ x).
T(x * (L(x,y,z) \ u),w) / x = x \ T(x * (u / L(x,y,z)),w).
T(x,T(y,z) \ (z \ u)) = T(x,z \ (y \ u)).
T((x / y) * z,z \ y) = (((x / y) * z) \ x) \ x.
T(x \ y,y \ z) = ((x \ y) \ (x \ z)) \ (x \ z).
T(x,(T(T(y,z),u) * w) \ (v5 * w)) = T(x,T(v5,T(T(y,z),u) * w) / T(T(T(y,w),z),u)).
T(x,T(y,T(T(z,u),w) * v5) / T(T(T(z,v5),u),w)) = T(x,(T(T(z,u),w) * v5) \ (y * v5)).
((x * y) / x) \ L(T(x,y),z,u) = y \ L(x,z,u).
L(x,y,z * ((u * w) * v5)) = L(x,y,z * ((w * u) * v5)).
L(x,y,z * ((u / w) \ v5)) = L(x,y,z * ((w \ u) \ v5)).
L(x,y,z * (K(u,w) * v5)) = L(x,y,v5 * z).
L(x,y,(z * u) \ w) = L(x,y,(u * z) \ w).
L(x,y,z \ ((u \ w) * v5)) = L(x,y,z \ ((w / u) * v5)).
L(x,y,z \ ((u / w) * v5)) = L(x,y,z \ ((w \ u) * v5)).
L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w \ u) \ v5)).
L(x,y,(T(z,u) * w) \ v5) = L(x,y,(z * w) \ v5).
L(x,y,(z \ u) \ w) = L(x,y,(T(z,v5) \ u) \ w).
L(x,y,(T(z,u) \ w) \ v5) = L(x,y,(z \ w) \ v5).
L(x,y,((z / u) * w) \ v5) = L(x,y,((u \ z) * w) \ v5).
L(x,y,(z \ (K(u,w) * v5)) \ v6) = L(x,y,(v5 / z) \ v6).
a(x \ (T(y,z) * u),w,v5) = a(x \ (y * u),w,v5).
a(x \ (y \ z),u,w) = a(x \ (T(y,v5) \ z),u,w).
a(x \ (T(y,z) \ u),w,v5) = a(x \ (y \ u),w,v5).
a((x * y) \ z,u,w) = a((y * x) \ z,u,w).
a(x \ ((y \ z) * u),w,v5) = a(x \ ((z / y) * u),w,v5).
a(x \ ((y / z) * u),w,v5) = a(x \ ((z \ y) * u),w,v5).
a(x \ ((y / z) \ u),w,v5) = a(x \ ((z \ y) \ u),w,v5).
a(x \ (y \ z),u,w) = a(x \ (((y \ v5) \ v5) \ z),u,w).
a(x \ (((y \ z) \ z) \ u),w,v5) = a(x \ (y \ u),w,v5).
a((T(x,y) * z) \ u,w,v5) = a((x * z) \ u,w,v5).
a((x \ y) \ z,u,w) = a((T(x,v5) \ y) \ z,u,w).
a((T(x,y) \ z) \ u,w,v5) = a((x \ z) \ u,w,v5).
a(((x / y) * z) \ u,w,v5) = a(((y \ x) * z) \ u,w,v5).
a(((x / y) \ z) \ u,w,v5) = a(((y \ x) \ z) \ u,w,v5).
a((x \ (K(y,z) * u)) \ w,v5,v6) = a((u / x) \ w,v5,v6).
(x \ (x / T(y,z))) * u = K(z,y) * ((x \ (x / y)) * u).
K(x,y) * ((z \ (z / y)) * u) = (z \ (z / T(y,x))) * u.
T(x,y) * (z \ (z / T(x,y))) = x * (z \ (z / x)).
x / T(y,T(z,x)) = K(z,y) * (x / y).
T(T(x,y),z) / (u * K(x,w)) = K(w,x) * (T(T(x,y),z) / u).
((x * y) / x) / (x * y) = y / (y * x).
T(x / ((y \ z) * y),z) = (z \ x) * K(y,y \ z).
K(x,y \ (x \ z)) = K(x,x \ (y \ z)).
x \ K(y,x \ (y \ 1)) = y * ((x \ 1) / y).
T(x,T(y * (1 / z),z) \ u) = T(x,w * ((y * w) \ (z * u))).
L(x,y,x) * L(y,z,u) = L(y,z,u) * T(x,x * y).
L(x,y,z) * T(u,u * x) = L(u,x,u) * L(x,y,z).
(L(x,y,z) * u) * x = (x * u) * L(x,y,z).
T(L(x,y,z) * u,x) = x \ ((x * u) * L(x,y,z)).
x \ ((x * y) * L(x,z,u)) = T(L(x,z,u) * y,x).
(L(x,y,z) * u) \ (x * u) = (u * L(x,y,z)) \ (u * x).
x * y != z * ((z \ x) * u) | y = L(u,z \ x,z).
(((L(x,y,z) \ x) * u) / x) * L(x,y,z) = L(u,L(x,y,z) \ x,L(x,y,z)).
x * (y * L(x,z,u)) = L(x,z,u) * (y * x).
L(x,y,z) * (u * x) = x * (u * L(x,y,z)).
x * (y / x) = L(x,z,u) * (y / L(x,z,u)).
L(x,y,z) * (u / L(x,y,z)) = x * (u / x).
x \ (y * L(x,z,u)) = (T(y,x) / x) * L(x,z,u).
(T(x,y) / y) * L(y,z,u) = y \ (x * L(y,z,u)).
R(L(x,y,z) * (x \ u),x,x \ 1) = (u * L(x,y,z)) * (x \ 1).
L(x,y,z) * (x \ R(x,u,w)) = (L(x,y,z) / x) * R(x,u,w).
(L(x,y,z) / x) * R(x,u,w) = L(x,y,z) * (x \ R(x,u,w)).
(L(x,y,z) \ x) / x = 1 / L(x,y,z).
(L(x,y,z) \ u) / x = (x \ u) / L(x,y,z).
(a(x,y,x) * z) / x = z / L(x,y,x).
((L(x,y,z) \ x) / x) \ 1 = L(x,y,z).
(L(x,y,z) \ x) / (1 / L(x,y,z)) = x * K(L(x,y,z) \ 1,x).
(x \ R(y,z,y)) / y = (x \ y) / L(y,z,y).
(x * (L(x,y,z) \ u)) \ (u * x) = L(x,y,z).
x * y != z * L(y,u,w) | y * (L(y,u,w) \ x) = z.
x * L(y,z,u) != w * y | y * (L(y,z,u) \ w) = x.
x / L(y,z,u) = y * (L(y,z,u) \ (x / y)).
x * (L(x,y,z) \ (u / x)) = u / L(x,y,z).
T(x * (L(x,y,z) \ u),x) = L(x,y,z) \ (u * x).
T(x,L(T(y,z),u,w) \ (z \ v5)) = T(x,z \ (L(y,u,w) \ v5)).
T(x,y \ (x \ z)) = T(x,x \ (y \ z)).
T(x,T(y,z \ 1) \ ((z \ 1) \ u)) = T(x,z * (y \ u)).
T(x,T(y,z / u) \ ((z * (1 / u)) \ w)) = T(x,(z * (1 / u)) \ (y \ w)).
T(x,y \ (a(z,u,w) \ v5)) = T(x,a(z,u,w) \ (y \ v5)).
T(x,a(y,z,u) \ (w \ v5)) = T(x,w \ (a(y,z,u) \ v5)).
T(x \ 1,(x \ 1) \ (y \ (x \ y))) = x \ 1.
L(x,y,R(z,u,w) * (K(v5,v6) * R(v7,u,w))) = L(x,y,R(v7 * z,u,w)).
L(x,y,z * ((T(u,w) \ v5) * v6)) = L(x,y,((u \ v5) * v6) * z).
L(x,y,z * (R(u,w,v5) \ v6)) = L(x,y,(R(T(u,v7),w,v5) \ v6) * z).
L(x,y,(R(T(z,u),w,v5) \ v6) * v7) = L(x,y,v7 * (R(z,w,v5) \ v6)).
L(x,y,z \ u) = L(x,y,((w \ z) * w) \ u).
L(x,y,((z \ u) * z) \ w) = L(x,y,u \ w).
L(x,y,L(z \ 1,z,u)) = L(x,y,(z * u) \ u).
L(x,y,R(z,u,u \ 1) \ w) = L(x,y,((u \ 1) * (z * u)) \ w).
L(x,y,((z \ 1) * (u * z)) \ w) = L(x,y,R(u,z,z \ 1) \ w).
L(x,y,L(T(z,u),u,w)) = L(x,y,(u * w) \ (w * (z * u))).
L(x,y,(z * u) \ (u * (w * z))) = L(x,y,L(T(w,z),z,u)).
L(x,y,(K(z,u) * (w * v5)) \ v6) = L(x,y,(v5 * (K(z,u) * w)) \ v6).
L(x,y,(x * y) \ x) = (R(y,y,x) \ y) \ x.
x / L(y,z,(y * z) \ x) = (x / (z * y)) * z.
L(x \ 1,x,(y * x) \ y) = 1 / x.
L(x,y,(z * u) \ ((z * w) * u)) = L(x,y,L(w,z,u)).
L(x,y,L(z \ u,z,w)) = L(x,y,(z * w) \ (u * w)).
L(x,y,((z \ 1) * (z * u)) \ w) = L(x,y,R(u,z,z \ 1) \ w).
((x * y) \ x) / (1 / y) = ((x * y) \ x) * y.
a(x \ y,z,u) = a(((w \ x) * w) \ y,z,u).
a(((x \ y) * x) \ z,u,w) = a(y \ z,u,w).
a(x \ y,z,u) = a((w * (x / w)) \ y,z,u).
a((x * (y / x)) \ z,u,w) = a(y \ z,u,w).
a((K(x,y) * (z * u)) \ w,v5,v6) = a((u * (K(x,y) * z)) \ w,v5,v6).
a(L(x \ y,x,z),u,w) = a((x * z) \ (y * z),u,w).
a(x,y,z) \ K(u,u \ 1) = u * ((a(x,y,z) \ 1) / u).
x * (y * L(x,z,u)) != L(x,z,u) * w | y * x = w.
L(x,y,z) * u != x * (w * L(x,y,z)) | w * x = u.
L(x,y,z) \ (x * (u / x)) = u / L(x,y,z).
x * (y / x) != L(x,z,u) * w | y / L(x,z,u) = w.
L(x,y,z) * u != x * (w / x) | w / L(x,y,z) = u.
(x \ (y \ x)) / (y \ 1) = (y \ 1) \ (x \ (y \ x)).
((x * y) \ x) * y = (1 / y) \ ((x * y) \ x).
(1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x.
a(L(x \ y,x,x \ z),u,w) = a(z \ ((x \ z) * y),u,w).
a(x \ 1,y \ x,y) = a(x,y \ x,y) \ 1.
L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z).
(1 / x) \ (y \ (y / x)) = (((y / x) * x) \ (y / x)) * x.
(((x / y) * y) \ (x / y)) * y = (1 / y) \ (x \ (x / y)).
x \ ((y * (x \ 1)) \ y) = ((y * (x \ 1)) \ y) * (x \ 1).
((x * (y \ 1)) \ x) * (y \ 1) = y \ ((x * (y \ 1)) \ x).
(x * y) * (x \ K(y,x)) = R(y,x,x \ 1).
(x / y) / (z * (x / y)) = (y \ x) / (z * (y \ x)).
R(T(1 / x,y * x),x,y) = (y * x) \ T(y,x).
T(x,y \ 1) * K(y \ x,x) = R(x,y \ 1,x).
L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x).
1 / (x \ y) = ((y \ x) * (x \ y)) \ (y \ x).
((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x).
1 / (x \ (y \ x)) = (y * (x \ (y \ x))) \ y.
(x * (y \ (x \ y))) \ x = 1 / (y \ (x \ y)).
R(T(1 / x,y * x),x,y) = (x * y) \ y.
T(K(x,y) * (a(z,u,w) \ 1),x) = a(z,u,w) \ K(x,y).
K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z).
x * (y \ K(x / y,z)) = T(x * (y \ 1),z).
x * ((T(x,y) / y) \ K(y,z)) = T(x * ((T(x,y) / y) \ 1),z).
T(x * ((T(x,y) / y) \ 1),z) = x * ((T(x,y) / y) \ K(y,z)).
T(x * y,z) * K(y,x) = y * (x * K(x * y,z)).
a(x * ((y * z) \ z),u,w) = a(x * ((z * y) \ z),u,w).
L(x,y,z) \ x = L(T(x,u),y,z) \ T(x,u).
L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ x.
L(x,y,z) \ (u * x) = L(T(x,u),y,z) \ (x * u).
L(T(x,y),z,u) \ (x * y) = L(x,z,u) \ (y * x).
L(x \ y,z,u) \ (y / x) = L(T(x \ y,x),z,u) \ (x \ y).
L(T(x \ y,x),z,u) \ (x \ y) = L(x \ y,z,u) \ (y / x).
L(x,y,z) \ (x * (K(u,x) * w)) = L(T(x,u),y,z) \ (x * w).
x * (L(T(x,y),z,x) \ u) = a(x,z,x) * (K(y,x) * u).
a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u).
L((x \ y) \ y,z,u) \ T(x,x \ y) = L(x,z,u) \ x.
x \ (y * (K(z,u) * w)) = (x \ (y * w)) * K(z,T(u,w)).
(x \ (y * z)) * K(u,T(w,z)) = x \ (y * (K(u,w) * z)).
T((x \ 1) * (x * (y / x)),x) = (x \ 1) * y.
T((x \ 1) * (x * y),x) = (x \ 1) * (y * x).
T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x).
(x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x).
x * y != T(x * (z / x),u) | y = T(z,u) / x.
(x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1).
x * y != T(x * ((z * x) \ z),u) | y = (z * x) \ z.
(x \ ((y * (x \ 1)) \ y)) * x = (y * (x \ 1)) \ y.
T((x \ 1) * y,x) != (x \ 1) * z | (x \ y) * x = z.
(x \ (a(y,z,u) / (x \ 1))) * x = a(y,z,u) / (x \ 1).
(x \ y) * (K(y,z) * x) = T((x \ y) * x,z).
T((x \ y) * x,z) != (x \ y) * u | K(y,z) * x = u.
(x * y) / (x * K(y,y \ x)) = T(x,y) / (x / y).
x \ T(x * (1 / y),y) = 1 / T(y,y \ x).
(x * y) \ T((x * y) * (1 / z),z) = 1 / T(z,x * (z \ y)).
1 / (x \ T(y,y \ x)) = T(1 / (x \ y),y).
1 / (((x \ y) * x) \ x) = T(1 / (y \ x),x).
1 / ((x * y) \ y) = T(1 / ((y * x) \ y),y).
T(1 / ((x * y) \ x),x) = 1 / ((y * x) \ x).
K(x,T((y * z) \ u,z)) = K(x,(y \ u) / z).
K(x,T(y \ (z \ u),u)) = K(x,u / (z * y)).
K(x,y / x) * (L(x \ y,z,u) * w) = L(y / x,z,u) * w.
T(x \ ((a(y,z,u) \ w) * v5),K(a(y,z,u) \ w,v5)) = K(w,v5) * (x \ (v5 * (a(y,z,u) \ w))).
x \ (T(y,y \ 1) \ x) = T(x \ (y \ x),y).
x \ (((y \ 1) \ 1) \ x) = T(x \ (y \ x),y).
T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x).
T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x).
T(x \ (x / T(y,x)),L(y,y \ x,y)) = x \ (((L(y,y \ x,y) \ 1) \ 1) \ x).
x \ (((y \ 1) \ 1) \ x) = ((x \ (y \ x)) \ 1) \ 1.
((x \ (y \ x)) \ 1) \ 1 = x \ (((y \ 1) \ 1) \ x).
T(x / T(y,T(z,x)),y) = T(y,z) \ x.
T(x,T(y \ (z \ u),u)) = T(x,u / (z * y)).
T(x,T((y * z) \ u,z)) = T(x,y \ (u / z)).
T(x,T(y \ z,u)) = T(x,u / ((u / z) * y)).
T(x,y / ((y / z) * u)) = T(x,T(u \ z,y)).
T(x,T(y \ z,u)) = T(x,(y / u) \ (z / u)).
T(x,(y / z) \ (u / z)) = T(x,T(y \ u,z)).
(L(x,y,z) * K(u,T(w,x))) / v5 = K(u,w) * (L(x,y,z) / v5).
T(x * (y / z),z) = ((x * (y / z)) \ (x * y)) \ (x * y).
(x * R(y,z,u)) / (x * y) = (x * y) \ (x * R(y,z,u)).
(x * y) / T(x * (a(z,u,w) \ y),a(z,u,w)) = (x * (a(z,u,w) \ y)) \ (x * y).
(x * (a(y,z,u) \ w)) / (x * w) = (x * w) \ (x * (a(y,z,u) \ w)).
T(x,T(y / z,y * u)) = T(x,T(z \ y,u)).
T(x,T(y,z * u)) = T(x,T((y \ z) \ z,u)).
T(x,T((y \ z) \ z,u)) = T(x,T(y,z * u)).
T(x,T(y,z * u)) = T(x,T(T(y,u),z)).
T(x,T(T(y,z),u)) = T(x,T(y,u * z)).
T(x,T(T(y,z),u)) = T(x,T(y,z * u)).
T(x,T(y,z * z)) = x * K(x,y).
T(x,T(y,z * z)) = T(x,y).
T(x,T(y \ z,y * u)) = T(x,T(z / y,u)).
T(x,T(y \ z,u * y)) = T(x,T(z / y,u)).
T(x,(y * y) \ (z * y)) = T(x,R(z / y,y,y)).
K(x,y) = K(x,T(y,z * z)).
K(x,T(y,z * z)) = K(x,y).
T(T(x,y * y) * K(z,x),z) = T(x,y * y).
T(x,T(y \ z,u * z)) = T(x,T(z / y,u)).
T(T(x,K(y,T(z,u))),T(z,(u / y) * y)) = T(x,T(z,u / y)).
T(x,T(y,z * u)) = T(x,T(y,u * z)).
T(x,T(y,z)) = T(x,T(y,(u \ z) * u)).
T(x,T(y,(z \ u) * z)) = T(x,T(y,u)).
T(x,T(y / z,u * y)) = T(x,T(z \ y,u)).
T(x,T(y,T(z,u))) = T(x,T(y,z)).
T(x,T(y,z) \ u) = T(x,T(u / T(y,z),y)).
T(x,T(y / T(z,u),z)) = T(x,T(z,u) \ y).
T(x,T(T(y,z) \ u,w)) = T(x,T(T(u / T(y,z),w),y)).
T(x,T(T(y / T(z,u),w),z)) = T(x,T(T(z,u) \ y,w)).
T(x,T(T(y,z) / u,y)) = T(x,u \ T(y,z)).
T(x,T(y * T(z,u),z)) = T(x,T(z,u) * y).
T(x,y) / T(z,T(u,x)) = K(u,z) * (T(x,y) / z).
T(x,T((y * z) \ u,y * (z * w))) = T(x,T(u / (y * z),w)).
T(x,y * y) = T(x,T(y * y,z)).
T(x,T(y * y,z)) = T(x,y * y).
T(x * K(y * y,T(x,z)),y * y) = x.
x = T(x,K(y * y,z)).
T(x,K(y * y,z)) = x.
T(x,T(y / z,u)) = T(x,(u * y) / (u * z)).
T(x,(y * z) / (y * u)) = T(x,T(z / u,y)).
T(x,T((T(y \ z,u) \ z) / w,y * K(u,z / y))) = T(x,w \ T(y * K(u,z / y),y \ z)).
T(x,T(y * T((z / u) / z,u),(z / u) / z)) = T(x,T((z / u) / z,T(u,z)) * y).
T(x,T(y / z,u)) = T(x,u / ((u * z) / y)).
T(x,y / ((y * z) / u)) = T(x,T(u / z,y)).
T(x,y / ((z * y) / u)) = T(x,T(u / T(z,y),y)).
T(x,R(y / z,z,z)) = T(x,z \ (z \ (y * z))).
T(x,y \ (y \ (z * y))) = T(x,R(z / y,y,y)).
T(x,y \ T(z,y)) = T(x,R(z / y,y,y)).
T(x,R(y / z,z,z)) = T(x,z \ T(y,z)).
T(x,y \ T(z,y)) = T(x,z / y).
T(x,y / (z \ u)) = T(x,u \ (z * T(y,z \ u))).
T(x,y \ (z * T(u,z \ y))) = T(x,u / (z \ y)).
T(x,y \ (z * (u \ 1))) = T(x,y \ (z * (1 / u))).
T(x,y \ (z * (1 / u))) = T(x,y \ (z * (u \ 1))).
((x / y) * R(y,z,u)) / x = x \ ((x / y) * R(y,z,u)).
(x \ (y \ x)) * ((y \ 1) \ 1) = y * (x \ (y \ x)).
T(x,(y \ (y / z)) * u) = T(x,((z \ w) / w) * u).
T(x,x \ (y \ (y / z))) = T(x,x \ (z \ 1)).
T(x,x \ (((y * z) * u) \ (y * (z * u)))) = T(x,x \ (a(y,z,u) \ 1)).
K(x * (y * (x \ z)),x) = K(y * z,x).
T(x * K(y * z,x),x \ (x * (y * (x \ z)))) = (x \ (x * (y * (x \ z)))) \ T(x * (y * (x \ z)),x).
(x \ (x * (y * (x \ z)))) \ T(x * (y * (x \ z)),x) = T(x * K(y * z,x),x \ (x * (y * (x \ z)))).
(x * (y \ z)) * ((y \ z) \ z) = (x * (z / y)) * y.
L(x,y,z * (K(u,w) * (v5 * R(u,v6,v7)))) = L(x,y,z * (R(T(u,w),v6,v7) * v5)).
L(x,y,z * (u / T(w,v5))) = L(x,y,z * (w \ u)).
L(x,y,z * ((u * w) \ w)) = L(x,y,z * ((w * u) \ w)).
L(x,y,z * (u \ w)) = L(x,y,(u \ T(w,v5)) * z).
L(x,y,(z \ T(u,w)) * v5) = L(x,y,v5 * (z \ u)).
(x * (L(y,z,u) \ y)) / T(y,w) = (x * (L(T(y,w),z,u) \ y)) / y.
(x * (L(T(y,z),u,w) \ y)) / y = (x * (L(y,u,w) \ y)) / T(y,z).
(x * (T(y,z) \ 1)) * T(y,z) = (x * (y \ 1)) * y.
T(x * K(x * y,z),y) = T(x,y) * K(y * x,z).
T(x,y) / (z * ((y * x) \ x)) = x / (z * ((x * y) \ x)).
T(x,x * (y \ (x \ y))) = x.
T(x * (y \ (x \ y)),x) = x * (y \ (x \ y)).
(x * (y \ (x \ y))) * x = x * (x * (y \ (x \ y))).
K(x * (y \ (x \ y)),x) = 1.
T(x,y * (z \ (y \ z))) = T(x,(z \ (y \ z)) * y).
T(x,(y \ (z \ y)) * z) = T(x,z * (y \ (z \ y))).
1 / (1 / x) = L(x,y \ (x \ y),x).
L(x,y \ (x \ y),x) = 1 / (1 / x).
L(x,(x * y) \ y,x) = 1 / (1 / x).
R(x,y \ (x \ y),x) \ (z \ x) = x \ (z \ (1 / (1 / x))).
(x * (((x * y) \ y) * x)) / (1 / (1 / x)) = x * ((x * y) \ y).
(x \ (y \ z)) * ((y \ z) \ z) = (x \ (z / y)) * y.
a(x,y,z) * u != (w \ (v5 / a(x,y,z))) * a(x,y,z) | w \ (a(x,y,z) \ v5) = u.
(a(x,y,z) \ (u / w)) * w = w * (a(x,y,z) \ (w \ u)).
L(x,y,z \ (u * ((w \ v5) \ v5))) = L(x,y,z \ (u * w)).
L(x,y,z \ (((u / w) \ v5) \ w)) = L(x,y,z \ (((w \ u) \ v5) \ w)).
a(x \ (y * ((z \ u) \ u)),w,v5) = a(x \ (y * z),w,v5).
a(x \ (y \ (z \ u)),w,v5) = a(x \ (y \ (u / z)),w,v5).
a(x \ (y \ (z / u)),w,v5) = a(x \ (y \ (u \ z)),w,v5).
a(x \ (((y / z) \ u) \ z),w,v5) = a(x \ (((z \ y) \ u) \ z),w,v5).
R(x,y,T(z,u)) = ((x * y) * z) / (y * z).
R(x,y,z) = R(x,y,T(z,u)).
R(x,y,T(z,u)) = R(x,y,z).
R(x,y,L(T(z,u),w,v5)) = R(x,y,L(z,w,v5)).
R(x,y,R(T(z,u),w,v5)) = R(x,y,R(z,w,v5)).
R(x,y,z \ u) = R(x,y,u / z).
R(x,y,z / u) = R(x,y,u \ z).
R(x,y,(z \ u) \ u) = R(x,y,z).
((x * y) * T(z,y)) / (z * y) = R(x,y,z).
R(x,y,z) = ((x * y) * T(z,y)) / (z * y).
R(x,y,z) * (z * y) = (x * y) * T(z,y).
R(x / y,y,z) = (x * T(z,y)) / (z * y).
(x * T(y,z)) / (y * z) = R(x / z,z,y).
R(x,y,R(z,u,u \ 1)) = R(x,y,(u * z) * (u \ 1)).
R(x,y,(z * u) * (z \ 1)) = R(x,y,R(u,z,z \ 1)).
R(x,y,(z * z) \ z) = R(x,y,z \ 1).
R(x,y,R(z,u,u \ 1)) = R(x,y,((1 / u) * z) * u).
R(x,y,((1 / z) * u) * z) = R(x,y,R(u,z,z \ 1)).
R(x,y,z \ (u * (z * z))) = R(x,y,u * L(z,z,u)).
R(x,y,z) = R(x,y,(u * z) / u).
R(x,y,(z * u) / z) = R(x,y,u).
R(x,y,z) = R(x,y,z * K(u,z)).
R(x,y,z * K(u,z)) = R(x,y,z).
R(x,y,L(z,u,z)) = R(x,y,z * K(u,z)).
R(x,y,z * K(u,z)) = R(x,y,L(z,u,z)).
R(K(x,y) / z,z,T(x,u)) = T(x,y) / (z * x).
R(x \ R(x,y \ R(y,z,u),y),x,R(T(y,w),z,u)) = a(x,y \ R(y,z,u),T(y,w)).
R(x,y,K(z,u) * (w * z)) = R(x,y,w * T(z,u)).
R(x,y,z \ u) * (y * (u / z)) = (x * y) * (u / z).
(((x * y) * z) * (u \ w)) / ((y * z) * (u \ w)) = R(R(x,y,z),y * z,w / u).
(x / y) * (R(x / y,z,y \ x) \ 1) = (x / y) \ L(x / y,z,x / y).
(x / (y / z)) / (x / R(y / z,u,z \ y)) = a(y / z,u,y / z).
R(x,y,T(z / u,w)) = R(x,y,u \ z).
R(x,y,z) * (y * ((z \ u) \ u)) = (x * y) * ((z \ u) \ u).
R(x,y \ z,y) * z = (x * (y \ z)) * ((y \ z) \ z).
(x * (y \ z)) * ((y \ z) \ z) = R(x,y \ z,y) * z.
R(x,x \ (y \ z),y) \ z = (x \ (y \ z)) * ((y \ z) \ z).
R(x,y \ 1,y) = R(x,y,y \ 1).
R(x,y,L(z / u,w,v5)) = R(x,y,L(u \ z,w,v5)).
R(x,y,y \ 1) * ((y \ 1) * y) = (x * (y \ 1)) * y.
R(x,R(y \ 1,z,u),R(y,z,u)) = R(x,R(y,z,u),R(y,z,u) \ 1).
(x * (1 / y)) * y = R(x,y \ 1,y).
a(x \ 1,y,y \ 1) = R(x,y \ 1,y) \ x.
R((x \ y) / y,y,y \ 1) = (R(x,y \ 1,y) \ y) / y.
((1 / x) * T(y,y * (1 / x))) * x = R(L(y,1 / x,y),x \ 1,x).
R(x,y * y,y \ 1) * y = (x * (y * y)) * ((y * y) \ y).
(x * (y * y)) * ((y * y) \ y) = R(x,y * y,y \ 1) * y.
R(x,y,z \ (u / (z \ 1))) = R(x,y,(1 / z) \ (u / z)).
R(x,y,(1 / z) \ (u / z)) = R(x,y,z \ (u / (z \ 1))).
R(x,y,a(z,u,w)) = (a(z,u,w) * (x * y)) / (a(z,u,w) * y).
(a(x,y,z) * (u * w)) / (a(x,y,z) * w) = R(u,w,a(x,y,z)).
x * y != y * T(z,u) | x = T(z * K(y,z),u).
R(x,y,x) = T(x * K(x * y,x),y).
T(x * K(x * y,x),y) = R(x,y,x).
L(R(x,y,z),u,w) * (z * y) = (L(x,u,w) * y) * T(z,y).
x \ ((x * y) * T(z,y)) = ((z * y) / x) * R(x,y,z).
((x * y) / z) * R(z,y,x) = z \ ((z * y) * T(x,y)).
(x * ((y * z) / y)) * y = R(x,z,y) * (y * z).
R(x,y,z) * (z * y) = (x * ((z * y) / z)) * z.
(x * K(x * y,x)) / (z * K(y,x * K(x * y,x))) = R(x,y,x) / z.
(x * R(y,z,u)) / (x * y) = R(R(y,z,u) / y,y,x).
R(R(x,y,z) / x,x,u) = (u * R(x,y,z)) / (u * x).
R(x,y,L(z,u,z)) = R(x,y,z).
R(x,y,z) = R(x,y,R(z,u,z)).
R(x,y,R(z,u,z)) = R(x,y,z).
L(L(x,y,x),z,(L(x,y,x) * z) \ L(x,y,x)) = (R(z,z,x) \ z) \ L(x,y,x).
R(x,y,z) * T(z * y,z) = (x * y) * R(z,y,z).
R((x \ L(x,y,x)) / z,z,x) = x / (z * R(x,y,x)).
x * y != ((y / z) * (y / z)) * z | x = (z / y) \ 1.
R((x * y) / x,y,x) = (x / (x * y)) \ 1.
R(x * K(y,x),x,y) = (y / (y * x)) \ 1.
(x \ y) / (z / ((x \ y) \ y)) = (y / x) / (z / x).
x / (y \ K(x,x * y)) = T(x / (y \ 1),x).
x / (y \ K(x,y * x)) = T(x / (y \ 1),x).
T(T(x / (y \ 1),x),y \ K(x,y * x)) = (y \ K(x,y * x)) \ x.
(x \ R(y,z,u)) / (x \ y) = (R(y,z,u) / x) / (y / x).
(R(x,y,z) / u) / (x / u) = (u \ R(x,y,z)) / (u \ x).
(x / y) / ((y \ x) / y) = T(y,y \ x) * K(y \ (y \ x),y).
T(x,x \ y) * K(x \ (x \ y),x) = (y / x) / ((x \ y) / x).
(((x / (a(y,z,u) \ w)) * w) \ x) \ x = (x / (a(y,z,u) \ w)) * w.
T(x * (L(x,y,z) \ u),x \ L(x,y,z)) = (((u / L(x,y,z)) * x) \ u) \ u.
(x \ y) / T(x \ z,z \ y) = (x \ z) \ (x \ y).
(x / y) \ L(T(y,y \ x),z,u) = (y \ x) \ L(y,z,u).
L(x,y,(((z \ u) \ u) \ w) \ v5) = L(x,y,(z \ w) \ v5).
a(x \ (y / T(z,u)),w,v5) = a(x \ (z \ y),w,v5).
a((((x \ y) \ y) * z) \ u,w,v5) = a((x * z) \ u,w,v5).
a((((x \ y) \ y) \ z) \ u,w,v5) = a((x \ z) \ u,w,v5).
a((x \ ((y / x) \ z)) \ u,w,v5) = a((x \ ((x \ y) \ z)) \ u,w,v5).
T(x,x \ y) * (y \ (x \ y)) = x * (y \ (y / x)).
(x \ y) * (z \ (z / T(y / x,T(x,y)))) = (y / x) * (z \ (z / (y / x))).
T(L(x,y,z) * u,x) = u * L(R(x,u,x),y,z).
x * L(R(y,x,y),z,u) = T(L(y,z,u) * x,y).
x \ (y * (T(x,y) * x)) = T(L(x,x,y) * y,x).
x \ T(L(y,z,u) * x,y) = L(R(y,x,y),z,u).
x \ (y * (x * T(x,y))) = T(L(x,x,y) * y,x).
T(L(x,y,z) \ (u * x),w) = T(T(x * (L(x,y,z) \ u),w),x).
T(T(x * (L(x,y,z) \ u),w),x) = T(L(x,y,z) \ (u * x),w).
T(L(x,y,z) \ u,x) = L(x,y,z) \ ((x \ u) * x).
L(x,y,z) \ ((x \ u) * x) = T(L(x,y,z) \ u,x).
x \ T(x * (L(x,y,z) \ u),x) = L(x,y,z) \ T(u,x).
T(R(x,x \ 1,y),y) = L(y,x \ 1,x) \ (x * y).
L(x,y \ 1,y) \ (y * x) = T(R(y,y \ 1,x),x).
K(x,y * (K(z \ 1,z) * u)) = K(x,y * u).
K(x,T(L(y \ 1,z,u),y) * w) = K(x,L(y \ 1,z,u) * w).
T(x * y,z) * K(y,x) = T(y * x,T(z,y)).
x / T(y * x,T(z,y)) = T(x,y) / T(x * y,z).
T(x,y) / T(x * y,z) = x / T(y * x,T(z,y)).
(x * y) / (y * (x / y)) = T(x,y) / (x / y).
(R(x,y,z) * u) / R(u * (x / u),y,z) = T(R(x,y,z),u) / (R(x,y,z) / u).
T(x \ ((1 / (1 / y)) \ x),1 / (1 / y)) = x \ (y \ x).
x \ ((y \ 1) \ x) = T(x \ ((1 / y) \ x),y \ 1).
T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x).
x \ ((y \ 1) \ x) = ((x \ ((1 / y) \ x)) \ 1) \ 1.
((x \ ((1 / y) \ x)) \ 1) \ 1 = x \ ((y \ 1) \ x).
T(x,y) / T(x * y,T(z,x)) = K(z,x * y) * R(1 / y,y,x).
T(x,(y \ z) \ (z * (y \ 1))) = T(x,(y \ 1) / (z \ (y \ z))).
T(x,(y \ 1) / (z \ (y \ z))) = T(x,(y \ z) \ (z * (y \ 1))).
T(x * (y \ (x \ y)),x) = (y \ (x \ y)) * ((x \ 1) \ 1).
L(x,y,z * (((1 / u) \ w) * u)) = L(x,y,z * ((u \ 1) \ (w * u))).
L(x,y,z * ((u \ 1) \ (w * u))) = L(x,y,z * (((1 / u) \ w) * u)).
L(x,y,(z \ L(T(u,w),v5,v6)) * v7) = L(x,y,v7 * (z \ L(u,v5,v6))).
L(x,y,(z \ R(T(u,w),v5,v6)) * v7) = L(x,y,v7 * (z \ R(u,v5,v6))).
((T(x,y) \ 1) * R(T(z,T(x,y) \ 1),u,w)) * T(x,y) = (R(z,u,w) * (x \ 1)) * x.
T(x,y) \ T(x * y,z) = T(y * K(y * x,z),x).
(x \ R(y,z,u)) / (x \ y) = (x \ y) \ (x \ R(y,z,u)).
((x \ y) \ y) * (y \ (x \ y)) = x * (y \ (y / x)).
L(x,y,(z * (u \ (u / z))) \ w) = L(x,y,(z * (u \ (z \ u))) \ w).
a((x * (y \ (y / x))) \ z,u,w) = a((x * (y \ (x \ y))) \ z,u,w).
R(T(x,y),x \ 1,y) = L(y,x \ 1,x) \ (x * y).
L(x,y \ 1,y) \ (y * x) = R(T(y,x),y \ 1,x).
K(T(x * y,x) \ z,u) = K(x \ (y \ z),u).
K(T(x,y) \ z,u) = K(y \ ((y \ x) \ z),u).
K(x \ ((x \ y) \ z),u) = K(T(y,x) \ z,u).
K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u).
(x * (y * z)) / T(x * y,z) = L(z,y,x).
L(x,y,z) = (z * (y * x)) / T(z * y,x).
L(x,y,L(y,z,u)) = (L(y,z,u) * (y * x)) / T(y * L(y,z,u),x).
(L(x,y,z) * (x * u)) / T(x * L(x,y,z),u) = L(u,x,L(x,y,z)).
L(x,y,R(y,z,u)) = (R(y,z,u) * (y * x)) / T(y * R(y,z,u),x).
(R(x,y,z) * (x * u)) / T(x * R(x,y,z),u) = L(u,x,R(x,y,z)).
L(x,y,R(x,z,u)) = (x * (y * R(x,z,u))) / T(R(x,z,u) * y,x).
(x * (y * R(x,z,u))) / T(R(x,z,u) * y,x) = L(x,y,R(x,z,u)).
L(R(x,y,z) \ x,u,w) = (w * ((R(x,y,z) \ x) * u)) / T(w * u,R(x,y,z) \ x).
(x * ((R(y,z,u) \ y) * w)) / T(x * w,R(y,z,u) \ y) = L(R(y,z,u) \ y,w,x).
L(x,a(y,z,u),w) = (w * (x * a(y,z,u))) / T(w * a(y,z,u),x).
(x * (y * a(z,u,w))) / T(x * a(z,u,w),y) = L(y,a(z,u,w),x).
(x \ L(y,z,y)) * K(y * z,y) = (x \ y) * K(z,y).
(x * y) \ (x \ T(x * y,y)) = (x * T(y,x * y)) \ y.
(x * y) \ (x \ T(x * y,y)) = (y * x) \ R(y,x,y).
L(x,y,z \ L(u,w,u)) = L(x,y,z \ (w \ (w * u))).
K(x,T(R(y,z,u) / w,v5)) = K(x,T(y / w,v5)).
L(x,y,a(y * x,y,x)) \ R(y * x,y,x) = T((R(y * x,y,x) / (y * x)) * y,x).
(((x / y) / z) * (z * y)) \ x = a(z \ (y \ x),z,y).
x \ L(x,y,y \ (x \ 1)) = ((1 / x) / y) * (y * x).
L(x,y,L(z,y,x)) = (R(z * K(y,z),y,x) * y) \ ((y * z) * x).
(R(x * K(y,x),y,z) * y) \ ((y * x) * z) = L(z,y,L(x,y,z)).
R(x,y \ z,y) * z = (x * (z / y)) * y.
((x * (y / z)) * z) / y = R(x,z \ y,z).
x * y != (z * (y / u)) * u | x = R(z,y / u,u).
R(x,y \ z,y) = R(x,z / y,y).
R(x,y / z,z) = R(x,z \ y,z).
R(x / y,y \ x,y) = (y / x) \ 1.
(x * ((x \ 1) / y)) * y = x \ R(x,y \ (x \ 1),y).
x \ R(x,y \ (x \ 1),y) = (x * ((x \ 1) / y)) * y.
R(x / (y / z),z \ y,z) = (x * z) / y.
R((x / y) \ z,y \ x,y) = T((z * y) / x,x / y).
R(x / y,y \ x,y) \ (x / y) = (y / x) * (x / y).
R(T(x / y,z),y \ x,y) = T((y / x) \ 1,z).
((x / y) \ 1) * R(z,x \ y,x) = R((y / x) * z,x \ y,x).
R(x / R(1 / y,y,y \ z),z \ (y \ z),z) = (x * z) / (y \ z).
R(x \ y,x \ y,x) = T((x / y) \ 1,x).
T((x / y) \ 1,x) = (x / ((x \ y) * x)) \ 1.
(x / ((x \ y) * x)) \ 1 = T((x / y) \ 1,x).
T((x / y) \ 1,x) \ (x \ y) = (x / ((x \ y) * x)) * (x \ y).
x * T((x / (y \ x)) \ 1,x) = R(y,x \ (y \ x),x) \ x.
R(x,y \ (x \ y),y) \ y = y * T((y / (x \ y)) \ 1,y).
(x / (y * x)) \ 1 = T((x / (x * y)) \ 1,x).
T((x / (x * y)) \ 1,x) = (x / (y * x)) \ 1.
(x / (y * x)) \ 1 = (((x / (x * y)) \ 1) \ (x * y)) \ (x * y).
(((x / (x * y)) \ 1) \ (x * y)) \ (x * y) = (x / (y * x)) \ 1.
(x * y) / ((x / (y * x)) \ 1) = ((x / (x * y)) \ 1) \ (x * y).
R(x,y,y \ 1) * K(y \ 1,y) = (x * (y \ 1)) * y.
(x * (y \ 1)) * y = (x * y) * T(y \ 1,y).
(x * y) * T(y \ 1,y) = (x * (y \ 1)) * y.
(x * y) * (y \ K(y \ 1,y)) = (x * (y \ 1)) * y.
(a(x,y,z) * (u \ 1)) * u = (u \ 1) * (a(x,y,z) * u).
a(((x * (y \ 1)) * y) \ z,u,w) = a((T(y \ 1,y) * (x * y)) \ z,u,w).
a((T(x \ 1,x) * (y * x)) \ z,u,w) = a(((y * (x \ 1)) * x) \ z,u,w).
R(x \ R(x,y,z),x,u) = (u * R(x,y,z)) / (u * x).
x / (y * R(x,z,x)) = L(x,z,x) / (y * x).
L(x,y,x) / (z * x) = x / (z * R(x,y,x)).
L(x,y,z \ L(u,w,u)) = L(x,y,z \ u).
L(x,y,z \ u) = L(x,y,z \ R(u,w,u)).
L(x,y,z \ R(u,w,u)) = L(x,y,z \ u).
L(x,y,z \ R(1 / u,w,u)) = L(x,y,z \ (u \ 1)).
L(x,y,1 / (z \ (L(u,w,u) \ z))) = L(x,y,(L(u,w,u) * (z \ (L(u,w,u) \ z))) \ u).
L(x,y,(L(z,u,z) * (w \ (L(z,u,z) \ w))) \ z) = L(x,y,1 / (w \ (L(z,u,z) \ w))).
L(x,y,x) / L(z,u,(z * u) \ x) = (L(x,y,x) / (u * z)) * u.
L(x,y,R(z \ u,w,u)) = L(x,y,R(z,w,u) \ u).
R(a(x \ (y \ 1),x,y),x,y) = a((x * y) \ 1,x,y).
((x / y) * (y / x)) \ 1 = (y / x) \ R(y / x,x \ y,x).
(x / y) \ R(x / y,y \ x,y) = ((y / x) * (x / y)) \ 1.
L(x,y,z * ((u * (w \ 1)) * w)) = L(x,y,z * R(u,w,w \ 1)).
L(a(x \ (y \ 1),x,y),x,y) = a((x * y) \ 1,x,y).
K(x,y) * (T(T(y,x),z) / u) = T(y,T(z,x)) / u.
x \ R(y,z,u) = (x \ R(T(y,w),z,u)) * K(w,y).
(x \ R(T(y,z),u,w)) * K(z,y) = x \ R(y,u,w).
T(((x \ R(y,z,u)) \ R(T(y,w),z,u)) * K(w,y),x) = (x \ R(y,z,u)) \ R(y,z,u).
(x \ 1) \ ((y \ (x \ y)) * y) = (x \ y) / (x \ 1).
x * ((1 / x) * T(y,z)) = T(x * ((1 / x) * y),z).
T(x * ((1 / x) * y),z) = x * ((1 / x) * T(y,z)).
x * (y / T(z,x * (z \ y))) = T(x * (y / z),z).
(x \ y) * (z / T(y,x \ z)) = T((x \ y) * (z / y),y).
T((x \ y) * (z / y),y) = (x \ y) * (z / T(y,x \ z)).
K(R(x,y,z),u) * K(R(x,y,z) * u,x) = a(R(x,y,z),u,x).
(x \ y) / (x \ 1) = ((1 / (1 / x)) \ y) / (1 / x).
((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1).
T(x / (y \ L(y,z,u)),w) \ x = (y \ L(y,z,u)) * K(w,y * (L(y,z,u) \ x)).
L(R(x,y,L(x,z,u)),z,u) = L(R(x,y,x),z,u).
L(L(x,y,z),u,w) * T(v5,x) = v5 * L(L(x,u,w),y,z).
(x * (((y \ z) * R(T(y,y \ z),u,w)) \ z)) / T(x,R(y,u,w) \ y) = ((y \ z) * R(T(y,y \ z),u,w)) \ z.
(x \ ((y / x) \ R(y,z,u))) * x = (y / x) \ R((y / x) * x,z,u).
(x / y) \ R((x / y) * y,z,u) = (y \ ((x / y) \ R(x,z,u))) * y.
(R(x,y,z) / u) / (x / u) = (x / u) \ (u \ R(u * (x / u),y,z)).
(x / y) \ (y \ R(y * (x / y),z,u)) = (R(x,z,u) / y) / (x / y).
x / T(L(a(y,z,u),w,v5) * x,a(y,z,u) \ 1) = (x * L(a(y,z,u),w,v5)) \ x.
((x \ y) \ y) \ L((x \ y) \ y,z,u) = x \ L(x,z,u).
L(x,y,z * (u * (K(w,v5) * v6))) = L(x,y,z * (u * v6)).
L(x,y,z * (u * (w \ (v5 / v6)))) = L(x,y,z * (u * (w \ (v6 \ v5)))).
L(x,y,L(z * (u / z),z,z \ 1)) = L(x,y,z * (u * (z \ 1))).
T(x * y,x) \ (y \ T(x * y,x)) = (y * x) \ x.
T(x * y,x) \ R(x,y,x) = (y * x) \ x.
T(R(x,y,x) / T(x * y,x),z) * T(x * y,x) = T(x * y,x) * T((y * x) \ x,z).
R(x,y,z) \ T(x,x \ 1) = x * R(1 / x,y,z).
L(x,y,z \ L(T(u,w),w,v5)) = L(x,y,z \ ((v5 * w) \ ((u * w) * v5))).
L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ L(T(v5,w),w,u)).
a(x * (y \ (L(z,u,z) * w)),v5,v6) = a(x * (y \ (T(z,z * u) * w)),v5,v6).
a(x * (y \ (T(z,z * u) * w)),v5,v6) = a(x * (y \ (L(z,u,z) * w)),v5,v6).
a(x * (((y / z) * u) \ w),v5,v6) = a(x * (((z \ y) * u) \ w),v5,v6).
a(x \ (y \ (K(z,u) * w)),v5,v6) = a(x \ (y \ w),v5,v6).
L(x,y,z \ (u \ ((w / v5) \ v6))) = L(x,y,z \ (u \ ((v5 \ w) \ v6))).
K(x \ y,x) * z != (y / x) \ u | z = (x \ y) \ u.
(1 / x) \ (y / x) = (x \ 1) \ (y / T(x,x \ 1)).
(x \ 1) \ (y / T(x,x \ 1)) = (1 / x) \ (y / x).
(x \ 1) \ (x \ a(y,z,u)) = (1 / x) \ (a(y,z,u) / x).
(1 / x) \ (a(y,z,u) / x) = (x \ 1) \ (x \ a(y,z,u)).
x * K(y,z) != u \ (w \ K(y,z)) | x = u \ (w \ 1).
x \ (y \ K(z,y)) = x \ (T(y,z) \ 1).
x \ (T(y,z) \ 1) = x \ (y \ K(z,y)).
((T(x,y) \ 1) \ R(T(x,y) \ 1,z,u)) \ 1 = R(T(x,y) \ 1,z,u) \ (x \ K(y,x)).
R(T(x,y) \ 1,z,u) \ (x \ K(y,x)) = ((T(x,y) \ 1) \ R(T(x,y) \ 1,z,u)) \ 1.
x * (T(y / z,z * x) \ y) = T(x * z,y / z).
T(x,T((y / (T(z / u,u * w) \ z)) \ w,T(z / u,u * w) \ z)) = T(x,y \ T(w * u,z / u)).
a(x \ (y / (x \ 1)),z,u) = a((x \ 1) \ (x \ y),z,u).
a((x \ 1) \ (x \ y),z,u) = a(x \ (y / (x \ 1)),z,u).
L(x \ L(x,y,z),x,u) = (x * u) \ (L(x,y,z) * u).
R(T(L(x,y,z) / x,x * u),x,u) = L(x \ L(x,y,z),x,u).
L(x,y,z) * (T(x,u) \ u) = x \ (u * L(x,y,z)).
a(x \ (y * L(x,z,u)),w,v5) = a((x \ y) * L(x,z,u),w,v5).
L(x,y,z) * (x \ K(u,w)) = K(u,w) * (x \ L(x,y,z)).
L(x,y,z * ((u * w) * (1 / w))) = L(x,y,z * L(u,w,w \ 1)).
L(x,y,z \ L(u,w,w \ 1)) = L(x,y,z \ ((w \ 1) * (w * u))).
L(x,y,z \ ((u \ 1) * (u * w))) = L(x,y,z \ L(w,u,u \ 1)).
L(x,y,L(z,u,u \ 1) \ w) = L(x,y,((u \ 1) * (u * z)) \ w).
L(x,y,((z \ 1) * (z * u)) \ w) = L(x,y,L(u,z,z \ 1) \ w).
L(x,y,(z \ (K(u,w) * v5)) \ v6) = L(x,y,(z \ v5) \ v6).
a((x * R(y,x,z)) \ u,w,v5) = a((((x * z) \ ((x * y) * z)) * x) \ u,w,v5).
a((((x * y) \ ((x * z) * y)) * x) \ u,w,v5) = a((x * R(z,x,y)) \ u,w,v5).
a(((x \ 1) * (y * x)) \ z,u,w) = a(L(y,x,x \ 1) \ z,u,w).
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) / 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 * z)) \ u,w,v5) = a(((z * y) \ x) \ u,w,v5).
a((x \ (K(y,z) * u)) \ w,v5,v6) = a((x \ u) \ w,v5,v6).
(L(x \ y,z,u) * x) \ ((x \ y) * x) = (x * L(x \ y,z,u)) \ y.
(L(L(x,y,z),u,w) * (z * y)) \ (L(x,y,z) * (z * y)) = ((z * y) * L(L(x,y,z),u,w)) \ (z * (y * x)).
L(L(x,y,z) \ x,L(x,y,z),u) = (L(x,y,z) * u) \ (x * u).
(x * (T(y,x * z) * z)) \ (T(y,z) * (x * z)) = ((x * z) * L(T(y,z),z,x)) \ ((x * z) * T(y,z)).
((x * y) * L(T(z,y),y,x)) \ ((x * y) * T(z,y)) = (x * (T(z,x * y) * y)) \ (T(z,y) * (x * y)).
T(x,y \ (a(z,u,w) \ v5)) = T(x,y \ v5).
T(x,y \ a(z,u,w)) = T(x,y \ (a(v5,v6,v7) \ 1)).
((x \ a(y,z,u)) * x) \ 1 = x * ((a(y,z,u) \ 1) / x).
(x \ (x / y)) * y = (1 / y) \ (x \ (x / y)).
(1 / x) \ (y \ (y / x)) = (y \ (y / x)) * x.
x \ (y \ (y / (x \ 1))) = (y \ (y / (x \ 1))) * (x \ 1).
(x \ (x / (y \ 1))) * (y \ 1) = y \ (x \ (x / (y \ 1))).
T(a(x,y,z) \ K(u,w),u) = a(x,y,z) \ K(u,w).
x * (L(T(x,y),z,x) \ u) = K(y,x) * (a(x,z,x) * u).
K(x,y) * (a(y,z,y) * u) = y * (L(T(y,x),z,y) \ u).
L((x \ y) \ y,z,u) \ ((x \ y) \ y) = L(x,z,u) \ x.
L(x,y,z \ (u * (K(w,v5) * v6))) = L(x,y,z \ (u * v6)).
a(x \ (y * (K(z,u) * w)),v5,v6) = a(x \ (y * w),v5,v6).
x * y != z / (y \ 1) | x = (z / y) / (1 / y).
x \ (a(y,z,u) / (x \ 1)) = (a(y,z,u) / x) / (1 / x).
(a(x,y,z) / u) / (1 / u) = u \ (a(x,y,z) / (u \ 1)).
R(x \ R(x,y,z),x,u) = (u * x) \ (u * R(x,y,z)).
L(x \ R(x,y,z),x,u) = R(x \ R(x,y,z),x,u).
a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)).
a(x,y,z) = L(x \ R(x,y,z),x,y * z).
L(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z).
L(a(x,y,z),u,w) = L(L(x \ R(x,y,z),u,w),x,y * z).
L(L(x \ R(x,y,z),u,w),x,y * z) = L(a(x,y,z),u,w).
L(a(x,y,z),x,u) = L((u * x) \ (u * R(x,y,z)),x,y * z).
L((x * y) \ (x * R(y,z,u)),y,z * u) = L(a(y,z,u),y,x).
a(x \ 1,y,z) = L(R(x,y,z) \ x,x \ 1,y * z).
L(R(x,y,z) \ x,x \ 1,y * z) = a(x \ 1,y,z).
a(x,y,z) = L(x \ R(x,y,z),x,z * y).
a(a(x,y,z),u,w) = L(a(x,y,z) \ L(a(x,y,z),u,w),a(x,y,z),u * w).
L(a(x,y,z) \ L(a(x,y,z),u,w),a(x,y,z),u * w) = a(a(x,y,z),u,w).
a(x,y,a(z,u,w)) = L(x \ L(x,y,a(z,u,w)),x,y * a(z,u,w)).
L(x \ L(x,y,a(z,u,w)),x,y * a(z,u,w)) = a(x,y,a(z,u,w)).
L(a(x,y,z),u,w) = L(L(x \ R(x,y,z),u,w),x,z * y).
L(L(x \ R(x,y,z),u,w),x,z * y) = L(a(x,y,z),u,w).
a(x,y,z) = ((z * y) * x) \ ((z * y) * R(x,y,z)).
a(x \ 1,y,z) = L(R(x,y,z) \ x,x \ 1,z * y).
L(R(x,y,z) \ x,x \ 1,z * y) = a(x \ 1,y,z).
a(x,y,z) = R(x \ R(x,y,z),x,z * y).
a(x,y \ z,y) = R(x \ R(x,y \ z,y),x,z).
R(x \ R(x,y \ z,y),x,z) = a(x,y \ z,y).
R((x \ R(x,y,z)) \ 1,x,z * y) = a(x,y,z) \ 1.
a(x,y \ 1,y) = x \ R(x,y \ 1,y).
x \ R(x,y \ 1,y) = a(x,y \ 1,y).
a(x,y \ x,y) = x \ R(x,y \ x,y).
x \ R(x,y \ x,y) = a(x,y \ x,y).
R(x,y \ 1,y) / x = a(x,y \ 1,y).
x \ R(x,y,y \ 1) = a(x,y \ 1,y).
x * a(x,y \ x,y) = R(x,y \ x,y).
R(R(x,y \ 1,y),z,u) / R(x,z,u) = a(R(x,z,u),y \ 1,y).
a(x,y \ 1,y) = a(x,y,y \ 1).
((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y).
((x * y) * z) * a(z,y,x) = (x * y) * R(z,y,x).
R(R(x,y,z) \ x,x,z * y) = a(x,y,z) \ 1.
R(x \ R(x,y,z),x \ 1,z * y) = a(x \ 1,y,z) \ 1.
(a(x,y,z) \ 1) \ (R(x,y,z) \ x) = R(x,y,z) \ (x * R(x \ R(x,y,z),x,z * y)).
R(x,y,z) \ (x * R(x \ R(x,y,z),x,z * y)) = (a(x,y,z) \ 1) \ (R(x,y,z) \ x).
T(x,T(T(y,z) \ u,w)) = T(x,T(u / T(y,z),y * w)).
T(x,T(y / T(z,u),z * w)) = T(x,T(T(z,u) \ y,w)).
(x \ ((x / y) * R(y,z,u))) * x = (x / y) * R(y,z,u).
x / (y * ((x * y) \ x)) = R(x,y,(y * x) \ x).
R(x,y,(y * x) \ x) = (y * ((x * y) \ x)) \ x.
(x * ((y * x) \ y)) \ y = R(y,x,(x * y) \ y).
(x * (a(y,z,u) \ (x \ w))) / x = a(y,z,u) \ (w / x).
T(a(x,y,z) \ (u / w),w) = a(x,y,z) \ (w \ u).
L(x,y,z \ (u * w)) = L(x,y,z \ (((w \ v5) \ v5) * u)).
L(x,y,z \ (((u \ w) \ w) * v5)) = L(x,y,z \ (v5 * u)).
a(x \ (y * z),u,w) = a(x \ (((z \ v5) \ v5) * y),u,w).
a(x \ (((y \ z) \ z) * u),w,v5) = a(x \ (u * y),w,v5).
R((x \ y) / y,y,y \ 1) = (R(x,y,y \ 1) \ y) / y.
a((((x \ y) \ y) * z) \ u,w,v5) = a((z * x) \ u,w,v5).
x \ T(x * (y / L(x,z,u)),x) = L(x,z,u) \ T(x * (y / x),x).
L(x,y,z) \ T(x * (u / x),x) = x \ T(x * (u / L(x,y,z)),x).
1 / (x \ (y \ x)) = (x \ ((1 / (1 / y)) \ x)) \ 1.
(x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)).
1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x).
R(x,y \ (x \ y),x) = (x \ 1) \ 1.
(R(x,y,z) / u) / (x / u) = (u \ x) \ (u \ R(x,y,z)).
T((L(x,y,z) \ u) * (1 / u),u) = (L(x,y,z) \ u) * (1 / T(u,x \ 1)).
L(x,y,z * (u * ((w / v5) \ v6))) = L(x,y,z * (u * ((v5 \ w) \ v6))).
a(x \ (y \ ((z / u) \ w)),v5,v6) = a(x \ (y \ ((u \ z) \ w)),v5,v6).
a((x \ 1) \ (x \ y),z,u) = a(x \ ((x \ 1) \ y),z,u).
x * (L(y,z,u) * (y \ K(x,w))) = T(x,w) * (y \ L(y,z,u)).
L(x,y,(z \ ((u \ w) * u)) \ v5) = L(x,y,(z \ w) \ v5).
L(x,y,(z \ (u / w)) \ v5) = L(x,y,(z \ (w \ u)) \ v5).
L(x,y,((z * u) \ w) \ v5) = L(x,y,((u * z) \ w) \ v5).
L(x,y,(z \ ((u \ w) * v5)) \ v6) = L(x,y,(z \ ((w / u) * v5)) \ v6).
L(x,y,(z \ ((u / w) * v5)) \ v6) = L(x,y,(z \ ((w \ u) * v5)) \ v6).
L(x,y,(z \ ((u / w) \ v5)) \ v6) = L(x,y,(z \ ((w \ u) \ v5)) \ v6).
a(L(x,y,y \ 1) \ z,u,w) = a(((y * x) * (y \ 1)) \ z,u,w).
a(((x * y) * (x \ 1)) \ z,u,w) = a(L(y,x,x \ 1) \ z,u,w).
a((x * (y \ z)) \ u,w,v5) = a((x * (z / y)) \ u,w,v5).
a((x * (y / z)) \ u,w,v5) = a((x * (z \ y)) \ u,w,v5).
a((x \ (y \ z)) \ u,w,v5) = a((x \ (z / y)) \ u,w,v5).
a((x \ (y / z)) \ u,w,v5) = a((x \ (z \ y)) \ u,w,v5).
a(((1 / x) \ (x \ y)) \ z,u,w) = a((x \ (y / (x \ 1))) \ z,u,w).
a(R(x,y,z) \ u,w,v5) = a(((z * y) \ ((x * y) * z)) \ u,w,v5).
a(((x * y) \ ((z * y) * x)) \ u,w,v5) = a(R(z,y,x) \ u,w,v5).
a(((x * y) \ z) \ u,w,v5) = a(((y * x) \ z) \ u,w,v5).
a((x \ T(y,z)) \ u,w,v5) = a((x \ y) \ u,w,v5).
a((x \ (y * z)) \ u,w,v5) = a((x \ (z * y)) \ u,w,v5).
a((x \ ((y \ z) \ z)) \ u,w,v5) = a((x \ y) \ u,w,v5).
a(((x \ y) \ z) \ u,w,v5) = a(((T(x,v6) \ y) \ z) \ u,w,v5).
a(((T(x,y) \ z) \ u) \ w,v5,v6) = a(((x \ z) \ u) \ w,v5,v6).
x \ (y \ (y / (x \ 1))) = (1 / x) * (y \ (y / (x \ 1))).
(1 / x) * (y \ (y / (x \ 1))) = x \ (y \ (y / (x \ 1))).
x * (L(T(x,x \ y),z,x) \ y) = (x \ y) * R(x,z,x).
L((((x \ y) \ z) \ 1) \ K(x \ y,x),u,w) \ ((((y / x) \ z) \ K(x \ y,x)) \ K(x \ y,x)) = L((y / x) \ z,u,w) \ ((y / x) \ z).
(((x \ y) * L((x \ y) \ y,z,u)) \ y) * K(L(x,z,u) \ x,w) = T(((x \ y) * L((x \ y) \ y,z,u)) \ y,w).
L(x,y,z \ (u * ((w / v5) \ v6))) = L(x,y,z \ (u * ((v5 \ w) \ v6))).
a(x \ (y * ((z / u) \ w)),v5,v6) = a(x \ (y * ((u \ z) \ w)),v5,v6).
x \ (a(y,z,u) / (x \ 1)) = (1 / x) \ (a(y,z,u) / x).
(1 / x) \ (a(y,z,u) / x) = x \ (a(y,z,u) / (x \ 1)).
(R(x,y,y \ 1) \ y) / y = (x \ y) * (y \ 1).
(R(a(x,y,z),u,u \ 1) \ u) / u = T(a(x,y,z) \ u,u) * (u \ 1).
a((x * y) \ z,u,w) = a((x * ((y \ v5) \ v5)) \ z,u,w).
a((x * ((y \ z) \ z)) \ u,w,v5) = a((x * y) \ u,w,v5).
L(x,y,L(T(z,u),u,w) \ v5) = L(x,y,((u * w) \ (w * (z * u))) \ v5).
L(x,y,((z * u) \ (u * (w * z))) \ v5) = L(x,y,L(T(w,z),z,u) \ v5).
a(L(T(x,y),y,z) \ u,w,v5) = a(((z * y) \ ((x * y) * z)) \ u,w,v5).
a(((x * y) \ ((z * y) * x)) \ u,w,v5) = a(L(T(z,y),y,x) \ u,w,v5).
a((x \ (a(y,z,y) \ u)) \ w,v5,v6) = a((x \ ((y \ u) * L(y,z,y))) \ w,v5,v6).
a((x \ ((y \ z) * L(y,u,y))) \ w,v5,v6) = a((x \ (a(y,u,y) \ z)) \ w,v5,v6).
x \ (a(y,z,u) / (x \ 1)) = (x \ 1) \ (x \ a(y,z,u)).
(x \ 1) \ (x \ a(y,z,u)) = x \ (a(y,z,u) / (x \ 1)).
(x \ 1) \ (x \ a(y,z,u)) = x \ ((1 / x) \ a(y,z,u)).
K(a(x,y,z),u) = K(L(z,y,x) \ z,u).
K(L(x,y,z) \ x,u) = K(a(z,y,x),u).
K(L(x,y,z) \ x,u) = 1.
T(L(x,y,z) \ x,u) = L(x,y,z) \ x.
T(x * 1,L(y,z,u) \ y) = x.
T(x,L(y,z,u) \ y) = x.
((L(x,y,z) \ x) \ u) * (L(x,y,z) \ x) = u.
(L(x,y,z) \ x) \ u = u / (L(x,y,z) \ x).
x / (L(y,z,u) \ y) = (L(y,z,u) \ y) \ x.
(L(x,y,z) \ x) * L(x,y,z) = x.
x * (L(y,z,u) \ y) = (L(y,z,u) \ y) * x.
(L(x,y,z) \ x) * u = u * (L(x,y,z) \ x).
K(x,L(y,z,u) \ y) = 1.
L(x,y,z) = (L(x,y,z) \ x) \ x.
(L(x,y,z) \ x) \ x = L(x,y,z).
x / L(x,y,z) = L(x,y,z) \ x.
T(x,((1 / y) * z) \ (y \ z)) = x.
T(x,L(T(y,y \ z),u,w) \ ((y \ z) \ z)) = x.
T(x,y) / L(x,z,u) = K(x,y) * (L(x,z,u) \ x).
K(x,y) * (L(x,z,u) \ x) = T(x,y) / L(x,z,u).
1 / (x \ L(x,y,z)) = (x \ L(x,y,z)) \ 1.
x / (x * (y \ L(y,z,u))) = (x * (y \ L(y,z,u))) \ x.
a(x,y,x) \ L(x,z,u) = (L(x,z,u) \ x) \ L(x,y,x).
(L(x,y,z) \ x) \ L(x,u,x) = a(x,u,x) \ L(x,y,z).
L(L(x,y,z) \ x,u,w) * v5 = v5 * L(L(x,y,z) \ x,u,w).
x / L(L(y,z,u) \ y,w,v5) = L(L(y,z,u) \ y,w,v5) \ x.
x * L(x \ y,z,u) = ((x * L(x \ y,z,u)) \ y) \ y.
((x * L(x \ y,z,u)) \ y) \ y = x * L(x \ y,z,u).
(x * y) / (x * L(y,z,u)) = (x * L(y,z,u)) \ (x * y).
(x / y) * L(y,z,u) = (((x / y) * L(y,z,u)) \ x) \ x.
(((x / y) * L(y,z,u)) \ x) \ x = (x / y) * L(y,z,u).
L(L(x,y,z) \ x,u,w) = (w * (u * (L(x,y,z) \ x))) / (w * u).
(x * (y * (L(z,u,w) \ z))) / (x * y) = L(L(z,u,w) \ z,y,x).
T(x,K(y,L(z,u,w) \ z)) = x.
x != y * L(x,z,u) | L(x,z,u) \ x = y.
x * L(y,z,u) != y | L(y,z,u) \ y = x.
x / (L(x,y,z) \ 1) = ((L(x,y,z) \ x) / (1 / L(x,y,z))) * L(x,y,z).
((L(x,y,z) \ x) / (1 / L(x,y,z))) * L(x,y,z) = x / (L(x,y,z) \ 1).
(L(x,y,z) \ x) * L(T(x,u),y,z) = T(x,u).
a(x,x \ 1,y) \ y = L(y,x \ 1,x).
(x / y) / L(y \ x,z,u) = K(y,y \ x) * (L(y \ x,z,u) \ (y \ x)).
K(x,x \ y) * (L(x \ y,z,u) \ (x \ y)) = (y / x) / L(x \ y,z,u).
R(x,y,x) * L(x,z,u) = x * ((L(x,z,u) \ x) \ R(x,y,x)).
x * ((L(x,y,z) \ x) \ R(x,u,x)) = R(x,u,x) * L(x,y,z).
x / L(x,y \ 1,y) = a(y,y \ 1,x).
K(x,y) * (L(y,z,u) \ y) = y / L(T(y,x),z,u).
x * ((1 / x) * y) = ((x * ((1 / x) * y)) \ y) \ y.
((x * ((1 / x) * y)) \ y) \ y = x * ((1 / x) * y).
L(x,y,z) \ x = ((L(x,y,z) \ x) \ u) \ u.
((L(x,y,z) \ x) \ u) \ u = L(x,y,z) \ x.
T(x,y) * (L(z,u,w) \ z) = x * ((L(z,u,w) \ z) * K(x,y)).
x * ((L(y,z,u) \ y) * K(x,w)) = T(x,w) * (L(y,z,u) \ y).
a(R(x,y,z),R(x \ 1,y,z),u) \ u = L(u,R(x,y,z) \ 1,R(x,y,z)).
R(x,y,z) / L(R(x,y,z),u \ 1,u) = R(a(u,u \ 1,x),y,z).
x != y * (L(z,u,w) \ z) | (L(z,u,w) \ z) \ x = y.
x * (L(y,z,u) \ y) != w | (L(y,z,u) \ y) \ w = x.
(((L(x,y,z) \ x) * u) * w) / ((L(x,y,z) \ x) * w) = R(u,L(x,y,z) \ x,w).
a(x,L(y,z,u) \ y,w) = (x * ((L(y,z,u) \ y) * w)) \ (((L(y,z,u) \ y) * x) * w).
(x * ((L(y,z,u) \ y) * w)) \ (((L(y,z,u) \ y) * x) * w) = a(x,L(y,z,u) \ y,w).
(x * y) \ ((x * (L(z,u,w) \ z)) * y) = R(T(L(z,u,w) \ z,x * y),x,y).
K(x,y) * (L(x,z,u) \ x) = L(x,z,u) \ T(x,y).
K(x \ y,x) * (L(y,z,u) \ y) = L(y,z,u) \ ((x \ y) * x).
x * K((L(y,z,u) \ y) \ (w \ x),(L(y,z,u) \ y) * w) = ((w * (L(y,z,u) \ y)) \ x) * (w * (L(y,z,u) \ y)).
a(x,y,x) * L(T(x,z),y,x) = T(x,z).
R(x,L(T(y,z),u,w),L(y,u,w) \ y) * T(y,z) = (x * L(T(y,z),u,w)) * T(L(y,u,w) \ y,L(T(y,z),u,w)).
(x * L(T(y,z),u,w)) * T(L(y,u,w) \ y,L(T(y,z),u,w)) = R(x,L(T(y,z),u,w),L(y,u,w) \ y) * T(y,z).
L(x \ L(T(y,z),u,y),x,a(y,u,y)) = (x * a(y,u,y)) \ T(y,z).
K(x,y / x) * z != (y / x) / u | z = (x \ y) / u.
L(x / y,z,u) \ (x / y) = (y \ x) / L(T(x / y,y),z,u).
(x \ y) / L(T(y / x,x),z,u) = L(y / x,z,u) \ (y / x).
L(x,y,z) \ T(x,u) = T(x,u) / L(x,y,z).
T(x,y) / L(x,z,u) = L(x,z,u) \ T(x,y).
(x * y) / (L(x,z,u) * y) = (y * L(x,z,u)) \ (y * x).
((((x * y) / z) * L(z,y,x)) \ (x * y)) \ (x * y) = (x * (y * z)) / z.
((((x * y) / x) * L(x,z,u)) \ (x * y)) \ (x * y) = L(x,z,u) * y.
((x * L(y,z,u)) \ (x * y)) * (L(y,z,u) * x) = y * x.
R((x / y) \ K(z,u),y,x \ 1) = (y * (x \ 1)) * K(z,u).
(x * y) * (L(z,y,x) * K(u,w)) = x * ((y * z) * K(u,w)).
(x * y) * (y \ K(z,u)) = R(x,y,y \ 1) * K(z,u).
R(x,y,y \ 1) * K(z,u) = (x * y) * (y \ K(z,u)).
K(x \ 1,x) * R(y,z,z \ 1) = (y * z) * (z \ K(x \ 1,x)).
(x * y) * (y \ T(z,u)) = R(x,y,y \ z) * T(z,u).
R(x,y,y \ z) * T(z,u) = (x * y) * (y \ T(z,u)).
(x * y) * (y \ T(z,x)) = z * R(x,y,y \ z).
(x * y) * (y \ T(R(y,z,u),x)) = R(y,z,u) * R(x,y,R(y,z,u) * (y \ 1)).
R(x,y,z) * R(u,x,R(x,y,z) * (x \ 1)) = (u * x) * (x \ T(R(x,y,z),u)).
(x * y) * (y \ T(L(y,z,u),x)) = L(y,z,u) * R(x,y,L(y,z,u) * (y \ 1)).
L(x,y,z) * R(u,x,L(x,y,z) * (x \ 1)) = (u * x) * (x \ T(L(x,y,z),u)).
(L(T(x,y),z,u) \ T(x,y)) * (y * L(T(x,y),z,u)) = x * R(y,L(T(x,y),z,u),L(T(x,y),z,u) \ x).
(x * (y \ z)) \ (x * (y \ T(z,u))) = K(z,u).
T(x * (y \ z),K(z,u)) = ((x * (y \ z)) \ (x * (y \ T(z,u)))) \ (x * (y \ T(z,u))).
((x * (y \ z)) \ (x * (y \ T(z,u)))) \ (x * (y \ T(z,u))) = T(x * (y \ z),K(z,u)).
R(x / y,y,x \ z) \ T(z,u) = y * ((x \ z) * K(z,u)).
L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)).
L(1 / (1 / (x \ y)),y \ x,y \ x) = x \ (y * 1).
L(1 / (1 / (x \ y)),y \ x,y \ x) = x \ y.
x \ T(y,z) = L(1 / (1 / (x \ T(y,z))),T(y,z) \ x,y \ x).
L(1 / (1 / (x \ T(y,z))),T(y,z) \ x,y \ x) = x \ T(y,z).
1 / (1 / L(x,y,z)) = L(x,y,z) * K(x \ 1,x).
L(x,y,z) * K(x \ 1,x) = 1 / (1 / L(x,y,z)).
a(x,x \ y,z) \ (z * y) = x * (((x \ y) * z) * K(z,y)).
x * (((x \ y) * z) * K(z,y)) = a(x,x \ y,z) \ (z * y).
R(x,y,x) / T(x * y,x) = R(1 / y,y,x).
T(x,y \ L(y,z,u)) = T(x,u / R(u,z,y)).
T(x,y \ L(y,z,u)) = x.
K(x,y \ L(y,z,u)) * w = w.
((x \ L(x,y,z)) \ u) * (x \ L(x,y,z)) = u.
(x * (y \ L(y,z,u))) / x = y \ L(y,z,u).
(x \ L(x,y,z)) \ u = u / (x \ L(x,y,z)).
x / (y \ L(y,z,u)) = (y \ L(y,z,u)) \ x.
(x \ L(x,y,z)) * x = L(x,y,z).
x * (y \ L(y,z,u)) = (y \ L(y,z,u)) * x.
(x \ L(x,y,z)) * u = u * (x \ L(x,y,z)).
T(x \ L(x,y,z),u) = x \ L(x,y,z).
x = (x \ L(x,y,z)) \ L(x,y,z).
(x \ L(x,y,z)) \ L(x,y,z) = x.
L(x,y,z) / x = x \ L(x,y,z).
L(x,y \ L(y,z,u),y) = L(y,z,u) \ (y * (x * (y \ L(y,z,u)))).
L(x,y,z) \ (x * (u * (x \ L(x,y,z)))) = L(u,x \ L(x,y,z),x).
R(x \ L(x,y,z),u,w) * v5 = v5 * R(x \ L(x,y,z),u,w).
R(x,x \ L(x,y,z),x) = x.
L(x,y,z) / T(x,u) = T(x,u) \ L(x,y,z).
x \ ((y \ L(y,z,u)) \ x) = ((x \ ((y \ L(y,z,u)) \ x)) \ 1) \ 1.
((x \ ((y \ L(y,z,u)) \ x)) \ 1) \ 1 = x \ ((y \ L(y,z,u)) \ x).
L(x,y,z) / L(x,u,x) = L(x,u,x) \ L(x,y,z).
L(x,y,z) / R(x,u,w) = R(x,u,w) \ L(x,y,z).
x / L(y \ L(y,z,u),w,v5) = L(y \ L(y,z,u),w,v5) \ x.
x = T(x,y \ (z * L(z \ y,u,w))).
T(x,y \ (z * L(z \ y,u,w))) = x.
((x / y) * L(y,z,u)) / x = x \ ((x / y) * L(y,z,u)).
K(x \ L(x,y,z),u) = 1.
a(x,y \ L(y,z,u),y) = (x * L(y,z,u)) \ ((x * (y \ L(y,z,u))) * y).
(x * L(y,z,u)) \ ((x * (y \ L(y,z,u))) * y) = a(x,y \ L(y,z,u),y).
R(x,y \ L(y,z,u),y) = ((x * (y \ L(y,z,u))) * y) / L(y,z,u).
((x * (y \ L(y,z,u))) * y) / L(y,z,u) = R(x,y \ L(y,z,u),y).
L(x,y,z) / (x \ 1) = ((x \ L(x,y,z)) / (1 / x)) * x.
((x \ L(x,y,z)) / (1 / x)) * x = L(x,y,z) / (x \ 1).
((x \ 1) \ (y \ (y / x))) * (x \ 1) = L(x \ 1,x,x \ y).
a(x \ L(x,y,z),x,u) = (L(x,y,z) * u) / ((x \ L(x,y,z)) * (x * u)).
(L(x,y,z) * u) / ((x \ L(x,y,z)) * (x * u)) = a(x \ L(x,y,z),x,u).
(x \ L(x,y,z)) * T(x,u) = L(T(x,u),y,z).
L(x,y,z) * L(x,u,w) = x * ((x \ L(x,u,w)) * L(x,y,z)).
x * ((x \ L(x,y,z)) * L(x,u,w)) = L(x,u,w) * L(x,y,z).
(x * L(x \ 1,y,z)) \ L(x \ 1,y,z) = x \ 1.
(x \ (y * L(y \ x,z,u))) * x = y * L(y \ x,z,u).
x \ L(x,y,z) = ((x \ L(x,y,z)) \ u) \ u.
((x \ L(x,y,z)) \ u) \ u = x \ L(x,y,z).
x != y * (z \ L(z,u,w)) | (z \ L(z,u,w)) \ x = y.
x * (y \ L(y,z,u)) != w | (y \ L(y,z,u)) \ w = x.
R(T(x \ L(x,y,z),u * w),u,w) = (u * w) \ ((u * (x \ L(x,y,z))) * w).
(x * y) \ ((x * (z \ L(z,u,w))) * y) = R(T(z \ L(z,u,w),x * y),x,y).
(K(x \ y,x) * L(y,z,u)) / ((x \ y) * x) = y \ L(y,z,u).
R(1 / L(x,y,z),L(x,y,z),x \ 1) = (x \ L(x,y,z)) \ (x \ 1).
(((x \ L(x,y,z)) * u) * w) / ((x \ L(x,y,z)) * w) = R(u,x \ L(x,y,z),w).
(x \ L(x,y,z)) * u != w * (x \ L(x,y,z)) | u = w.
((x \ L(x,y,z)) * (u * x)) / L(x,y,z) = R(u,x,x \ L(x,y,z)).
(x * L(y,z,u)) \ ((y \ L(y,z,u)) * (x * y)) = a(x,y,y \ L(y,z,u)).
(x * y) / T(x * (z \ L(z,u,w)),(z \ L(z,u,w)) \ y) = ((z \ L(z,u,w)) * x) \ (x * y).
(x * y) / (T(x,y) * (z \ L(z,u,w))) = (y * x) / ((z \ L(z,u,w)) * x).
((x \ 1) \ L(x \ 1,y,z)) * u = u * (x * L(x \ 1,y,z)).
L(x \ L(x,y,z),u,w) = (w * ((x \ L(x,y,z)) * u)) / T(w * u,x \ L(x,y,z)).
(x * ((y \ L(y,z,u)) * w)) / T(x * w,y \ L(y,z,u)) = L(y \ L(y,z,u),w,x).
(L(x,y,z) / x) * u = u * (x \ L(x,y,z)).
(x \ L(x,y,z)) * u = u * T(x \ L(x,y,z),w).
x * T(y \ L(y,z,u),w) = (y \ L(y,z,u)) * x.
L(x,y,z) * L(u,x,x \ L(x,y,z)) = (x * u) * (x \ L(x,y,z)).
(x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1.
(x * ((y * x) \ y)) \ ((y * x) \ y) = x \ 1.
(x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y.
((x * y) \ x) / (y * ((x * y) \ x)) = y \ 1.
(x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y).
(R(x,y,z) \ 1) * (R(x,y,z) * ((R(x,y,z) * L(x,u,w)) \ L(x,u,w))) = (L(x,u,w) * R(x,y,z)) \ L(x,u,w).
R(1 / x,x,(y * x) \ y) = x \ 1.
R(1 / (x \ y),x \ y,y \ x) = (x \ y) \ 1.
x \ ((y * (1 / x)) \ y) = (1 / x) * ((y * (1 / x)) \ y).
(1 / x) * ((y * (1 / x)) \ y) = x \ ((y * (1 / x)) \ y).
R(1 / ((x * y) \ x),(x * y) \ x,y) = ((x * y) \ x) \ 1.
((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x).
(x \ y) \ 1 = ((x \ y) * (y \ x)) \ (y \ x).
((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1.
((x \ y) * (y \ x)) * ((x \ y) \ 1) = y \ x.
((x \ (x / y)) * y) \ ((x / y) \ x) = (x \ (x / y)) \ 1.
(x * ((y * x) \ y)) * ((y \ (y * x)) \ 1) = (y * x) \ y.
T((x \ L(x,y,z)) * (((x \ L(x,y,z)) \ 1) * u),(x \ L(x,y,z)) \ 1) = R(u,x \ L(x,y,z),(x \ L(x,y,z)) \ 1).
(x \ ((x / y) * L(y,z,u))) * x = (x / y) * L(y,z,u).
(x \ ((x / y) * L(y,z,u))) * K(x \ ((x / y) * L(y,z,u)),w) = T(((x / y) * L(y,z,u)) / x,T(w,(x / y) * L(y,z,u))).
x * (y \ z) != z * L(z \ (y \ z),u,w) | x = y * L(y \ 1,u,w).
(x \ y) \ (y * L(y \ (x \ y),z,u)) = x * L(x \ 1,z,u).
((x \ (x / y)) * y) \ y = (x \ (x / y)) \ 1.
a(x \ ((x \ 1) \ y),x,x \ 1) = ((y / x) / (1 / x)) \ y.
a(x \ ((x \ 1) \ y),x,x \ 1) * ((y / (x \ 1)) / x) = y.
a(x \ ((x \ 1) \ y),x,x \ 1) \ y = (y / (x \ 1)) / x.
L(x,y,(z * u) \ (u * (w * z))) = L(x,y,L(w,z,u)).
L(x,y,L(z,u,w)) = L(x,y,R(z,u,w)).
L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,R(L(z,v5,v6),u,w)).
L(x \ 1,x,L(y,z,u)) = (R(y,z,u) * x) \ R(y,z,u).
R(x,y,y) * L(y,y,L(x,y,y)) = x * y.
L(R(x,y,z),R(u,y,z),L(w,y,z)) = L(R(x,y,z),u,w).
L(x,R(y,z,x),L(u,z,x)) = L(x,y,u).
R(1 / x,y,z) * (R(x,y,z) * u) = L(u,R(x,y,z),L(x \ 1,y,z)).
L(x,y,L(z / (u \ w),u,u \ w)) = L(x,y,R(u,u,u \ w) * (z / w)).
L(x,y,L(z / u,u \ z,u)) = L(x,y,(u / z) \ 1).
L(x,y,L(z \ u,w,u)) = L(x,y,R(z,w,u) \ u).
L(x,y,L(z / u,u \ z,u)) = L(x,y,(z \ u) \ 1).
L(x,y,(z \ u) \ 1) = L(x,y,L(u \ z,u \ z,u)).
L(x,y,L(z \ u,z \ u,z)) = L(x,y,(u \ z) \ 1).
(R(x,y,z) * u) \ R(x,y,z) = (L(x,y,z) * u) \ L(x,y,z).
(L(x,y,z) * u) \ L(x,y,z) = (R(x,y,z) * u) \ R(x,y,z).
1 / ((x * y) \ x) = (y * ((x * y) \ x)) \ y.
(x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y).
(x * ((y * x) \ y)) * (1 / ((y * x) \ y)) = x.
(x * (y \ (y / x))) \ x = 1 / (((y / x) * x) \ (y / x)).
1 / (((x / y) * y) \ (x / y)) = (y * (x \ (x / y))) \ y.
(1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y.
1 / (x \ (x / y)) = (y * (x \ (x / y))) \ y.
(x * (y \ (y / x))) \ x = 1 / (y \ (y / x)).
((x \ 1) \ 1) \ (y \ x) = x \ (y \ (1 / (1 / x))).
(x \ 1) \ (x \ (y \ (1 / (1 / x)))) = (1 / x) \ (x \ (y \ x)).
(x * y) * ((z \ u) \ u) != w * (y * ((z \ u) \ u)) | R(x,y,z) = w.
R(x,x \ (a(y,z,u) \ w),a(y,z,u)) \ w = a(y,z,u) * (x \ (a(y,z,u) \ w)).
R(x,x \ ((y / z) \ u),z \ y) \ u = (x \ ((y / z) \ u)) * (((y / z) \ u) \ u).
R(x,x \ (y \ z),y) \ z = (x \ (z / y)) * y.
x / ((y \ (x / z)) * z) = R(y,y \ (z \ x),z).
R(x,x \ (y \ z),y) = z / ((x \ (z / y)) * y).
((x \ (x / y)) * y) \ x = R(x,x \ (y \ x),y).
T(x,(y \ (z / u)) * u) = T(x,w * ((y * w) \ z)).
R(x,x \ (x \ y),x) = (x \ (y / x)) \ (x \ y).
R(x,y \ (x \ y),y) \ y = y * T(x \ 1,y).
R(x,y \ (x \ y),y) \ y = (x \ 1) * y.
(x / y) \ ((y / x) \ 1) = ((y / x) * (x / y)) \ 1.
((x / y) * (y / x)) \ 1 = (y / x) \ ((x / y) \ 1).
((x / y) * (y / x)) * ((y / x) \ ((x / y) \ 1)) = 1.
(x * ((x \ y) / y)) * (((x \ y) / y) \ ((y / (x \ y)) \ 1)) = 1.
L(x \ ((x / y) * R(y,z,u)),y,z * u) = L(a(y,z,u),y,y \ x).
R((x / y) \ K(z,u),y,x \ 1) = y * ((x \ 1) * K(z,u)).
(x * y) * (L(z,y,x) * K(u,w)) = x * (y * (z * K(u,w))).
R(x / y,y,x \ z) \ T(z,u) = y * (x \ T(z,u)).
T(x,y * (z \ T(u,u * w))) = T(x,R(z / y,y,z \ u) \ T(u,w)).
T(x,R(y / z,z,y \ u) \ T(u,w)) = T(x,z * (y \ T(u,u * w))).
x * ((x \ y) * T(z,y)) = a(x,x \ y,z) \ (z * y).
a(x,x \ y,z) \ (z * y) = x * ((x \ y) * T(z,y)).
a(x,x \ y,z) \ (z * y) = L(z,x \ y,x) * y.
(L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,x).
(L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,z \ (y * z),x).
(((x * y) \ x) \ 1) \ y = ((x * y) \ x) * y.
a(x \ ((x \ 1) \ y),x,x \ 1) * ((y / x) / (1 / x)) = y.
a(x \ ((x \ 1) \ y),x,x \ 1) \ y = (y / x) / (1 / x).
R((x / y) \ K(z,u),y,x \ 1) = y * (x \ K(z,u)).
R(x \ K(y,z),x \ u,u \ 1) = (x \ u) * (u \ K(y,z)).
L(x * K(y,z),u,w) = L(x,u,w) * K(y,z).
(x * y) * (K(z,u) * K(w,v5)) = x * (y * (K(z,u) * K(w,v5))).
L(x,y,L(z * K(u,w),v5,v6)) = L(x,y,L(z,v5,v6)).
a(L(x * K(y,z),u,w),v5,v6) = a(L(x,u,w),v5,v6).
L(x * K(y,z),u,w) / z = L(x,u,w) / T(z,y).
x \ L(y * K(z,u),w,v5) = (x \ L(y,w,v5)) * K(z,u).
x * L(y * K(x * L(y,z,u),w),z,u) = T(x * L(y,z,u),w).
L(x,y,z * L(u * K(w,v5),v6,v7)) = L(x,y,z * L(u,v6,v7)).
L(x * K(x \ 1,x),y,z) = 1 / (1 / L(x,y,z)).
L(x,y,L(z * u,w,v5)) = L(x,y,L(u * z,w,v5)).
L(x,y,L(z * (u / z),w,v5)) = L(x,y,L(u,w,v5)).
L(x,y,L(K(z,u) * w,v5,v6)) = L(x,y,L(w,v5,v6)).
L(x,y,L(T(z,u) \ w,v5,v6)) = L(x,y,L(z \ w,v5,v6)).
L(x,y,L(z \ T(u,w),v5,v6)) = L(x,y,L(z \ u,v5,v6)).
L(x,y,L(z * (u \ w),v5,v6)) = L(x,y,L(z * (w / u),v5,v6)).
L(x,y,L(z * (u / w),v5,v6)) = L(x,y,L(z * (w \ u),v5,v6)).
L(x,y,L(z \ (u / w),v5,v6)) = L(x,y,L(z \ (w \ u),v5,v6)).
L(x,y,L(z \ (u * T(w,v5)),v6,v7)) = L(x,y,L(z \ (u * w),v6,v7)).
a(L(x * y,z,u),w,v5) = a(L(y * x,z,u),w,v5).
a(L((x \ y) * x,z,u),w,v5) = a(L(y,z,u),w,v5).
a(L(K(x,y) * z,u,w),v5,v6) = a(L(z,u,w),v5,v6).
a(L(x \ T(y,z),u,w),v5,v6) = a(L(x \ y,u,w),v5,v6).
a(L(x * (y \ z),u,w),v5,v6) = a(L(x * (z / y),u,w),v5,v6).
a(L(x * (y / z),u,w),v5,v6) = a(L(x * (z \ y),u,w),v5,v6).
a(L(x \ (y / z),u,w),v5,v6) = a(L(x \ (z \ y),u,w),v5,v6).
L(x * K(y,x),z,u) / x = T(x,y) \ L(x,z,u).
L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)).
L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z).
L(1 / x,y,z) \ 1 = 1 / L(x \ 1,y,z).
1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1.
L(x,y,L((z / u) \ w,v5,v6)) = L(x,y,L((u \ z) \ w,v5,v6)).
a(L((x / y) \ z,u,w),v5,v6) = a(L((y \ x) \ z,u,w),v5,v6).
a(L(x \ y,z,u),w,v5) = a(L(((x \ v6) \ v6) \ y,z,u),w,v5).
a(L(((x \ y) \ y) \ z,u,w),v5,v6) = a(L(x \ z,u,w),v5,v6).
a(L(x,y,z),u,w) = a(R(x,y,z),u,w).
a(L(L(x,y,z),u,w),v5,v6) = a(R(L(x,u,w),y,z),v5,v6).
a(L((x / y) \ 1,y,x \ 1),z,u) = a(y * (x \ 1),z,u).
a(L(x,y,z),u,x) = a(x,u,R(x,y,z)).
a(L(x * y,z,y),u,w) = a(R(x,z,y) * y,u,w).
a(L(x * (K(y,z) * u),w,v5),v6,v7) = a(R(u * x,w,v5),v6,v7).
a(L(R(x,y,z) \ x,x,y * z),u,w) = a(a(x,y,z) \ 1,u,w).
a(L(x \ y,z,y),u,w) = a(R(x,z,y) \ y,u,w).
a(L(x \ y,z,x),u,w) = a(x \ R(y,z,x),u,w).
a(L(x * y,z,x),u,w) = a(x * R(y,z,x),u,w).
a(L(x / y,y \ x,y),z,u) = a((y / x) \ 1,z,u).
a(a(x,x \ 1,y) \ y,z,u) = a(R(y,x \ 1,x),z,u).
L(x / y,z,u) / (y \ x) = T(y \ x,y) \ L(y \ x,z,u).
T(x \ y,x) \ L(x \ y,z,u) = L(y / x,z,u) / (x \ y).
a(L(x * y,x,y),z,u) = a(x \ ((x * x) * y),z,u).
a(L(x / y,y \ x,y),z,u) = a((x \ y) \ 1,z,u).
a((x \ y) \ 1,z,u) = a(L(y \ x,y \ x,y),z,u).
a(L(x \ y,x \ y,x),z,u) = a((y \ x) \ 1,z,u).
a(L(x \ (x * y),y,x),z,u) = a(((x * y) \ x) \ 1,z,u).
L(x,y,L((z * u) \ u,w,v5)) = L(x,y,L((u * z) \ u,w,v5)).
a(L((x * y) \ y,z,u),w,v5) = a(L((y * x) \ y,z,u),w,v5).
a(L(L(x,y,z),u,w),v5,v6) = a(L(R(x,y,z),u,w),v5,v6).
a(a(x,x \ 1,y) \ y,z,u) = a(R(y,x,x \ 1),z,u).
a(L(x,y,y \ 1),z,u) = a(a(y,y \ 1,x) \ x,z,u).
a(a(x,x \ 1,y) \ y,z,u) = a(L(y,x,x \ 1),z,u).
a(L(x,y \ 1,y),z,u) = a(L(x,y,y \ 1),z,u).
a(L(x,x,y),z,u) = a(((y * x) \ y) \ 1,z,u).
x / (y \ R(x,z,x)) = a(x,z,x) \ y.
x / R(y \ x,z,x) = a(x,z,x) \ R(y,z,x).
a(x,y,x) \ R(z,y,x) = x / R(z \ x,y,x).
x / L(R(x,y,x),z,(R(x,y,x) * z) \ R(x,y,x)) = a(x,y,x) \ (R(z,z,R(x,y,x)) \ z).
a(x,y,x) \ (R(z,z,R(x,y,x)) \ z) = x / L(R(x,y,x),z,(R(x,y,x) * z) \ R(x,y,x)).
x / R(y \ x,z,x) = x * R(x \ y,z,x).
R(x,a(y,z,u),w) = L(K(w,a(y,z,u)) * x,a(y,z,u),w).
L(K(x,a(y,z,u)) * w,a(y,z,u),x) = R(w,a(y,z,u),x).
L(1 * x,a(y,z,u),w) = R(x,a(y,z,u),w).
L(x,a(y,z,u),w) = R(x,a(y,z,u),w).
L((x / y) / a(z,u,w),a(z,u,w),y) = x / (a(z,u,w) * y).
R(x \ 1,a(y,z,u),w) = L(x,a(y,z,u),w) \ 1.
L(x,a(y,z,u),w) \ R(v5,a(y,z,u),w) = R(x \ v5,a(y,z,u),w).
L(T(x / a(y,z,u),w),a(y,z,u),a(y,z,u) \ w) = w \ (x * (a(y,z,u) \ w)).
L(x,a(y,z,u),w) * (x \ (a(y,z,u) * w)) = x \ ((x * a(y,z,u)) * w).
L(x \ y,a(z,u,w),v5) \ (x \ y) = x \ (y * R(y \ x,a(z,u,w),v5)).
L(1 / x,a(y,z,u),x) = 1 / x.
R(x \ y,a(z,u,w),y) = L(x,a(z,u,w),y) \ y.
R(x * y,a(z,u,w),x) = x * L(y,a(z,u,w),x).
R(x * y,a(z,u,w),y) = L(x,a(z,u,w),y) * y.
x * R(x \ y,a(z,u,w),x) = L(y,a(z,u,w),x).
a(x,a(y,z,u),w) = L(x \ L(x,a(y,z,u),w),x,a(y,z,u) * w).
L(x \ L(x,a(y,z,u),w),x,a(y,z,u) * w) = a(x,a(y,z,u),w).
(x * a(y,z,u)) * (1 / x) = x * (a(y,z,u) * (1 / x)).
L(x \ 1,a(y,z,u),w) = L(x,a(y,z,u),w) \ 1.
L(x \ y,a(z,u,w),y) = L(x,a(z,u,w),y) \ y.
L(x * y,a(z,u,w),x) = x * L(y,a(z,u,w),x).
R(x * y,a(z,u,w),y) != v5 * y | L(x,a(z,u,w),y) = v5.
L(x * y,a(z,u,w),y) = L(x,a(z,u,w),y) * y.
x * L(x \ 1,a(y,z,u),w) = L(x,a(y,z,u),w) \ x.
L(x * (a(y,z,u) \ (x \ w)),a(y,z,u),x) = x * ((x * a(y,z,u)) \ w).
L(x * y,a(z,u,w),y) != v5 * y | L(x,a(z,u,w),y) = v5.
x * (y * (z / u)) != (w * y) * (z / u) | x = R(w,y,u \ z).
x = R(x,a(y,z,u),x \ 1).
R(x,a(y,z,u),x \ 1) = x.
T((x \ (x / y)) \ K(y,z),y) = (x \ (x / y)) \ K(y,z).
x * R((x \ 1) * K(y,z),u,w) = (R(x,u,w) \ x) * K(y,z).
(1 / x) * R(x * K(y,z),u,w) = (x \ R(x,u,w)) * K(y,z).
a(x * (y * T(z,u)),w,v5) = a(x * (y * (K(v6,v7) * z)),w,v5).
((a(x,y,z) \ 1) \ u) \ T(u,w) = a(x,y,z) \ K(u,w).
K(((x \ y) * x) \ ((1 / y) \ z),u) = K(K(x,x \ y) * z,u).
((1 / x) * y) * (K(y,z) * x) = T(((1 / x) * y) * x,z).
(x \ T(y,z)) / T(T(y,z),u) = (x \ y) / T(y,T(u,z)).
((1 / x) \ y) / T(y,T(x,z)) = T(y,z) \ ((1 / x) \ T(y,z)).
T(x,y) \ ((1 / z) \ T(x,y)) = ((1 / z) \ x) / T(x,T(z,y)).
K(x,(y \ 1) \ (R(y,z,u) \ w)) = K(x,R(y,z,u) \ (y * w)).
(x / T(y,T(z,u))) * K(y,u) = x / T(y * K(u,y),z).
K(x \ (y * z),T(z,u)) = K((x \ z) * y,T(z,u)).
K((x \ y) * z,T(y,u)) = K(y * (x \ z),T(y,u)).
T((x * y) \ (x * z),z \ y) = (L(y \ z,y,x) \ 1) \ 1.
T(x,y \ ((1 / z) * u)) = T(x,y \ ((z \ 1) * u)).
T(x,y \ ((z \ u) \ 1)) = T(x,T(u,y) \ ((y \ 1) * z)).
T(x,T(y,z) \ ((z \ 1) * u)) = T(x,z \ ((u \ y) \ 1)).
(x \ L(x,y,z)) * R(x,u,w) = L(x,y,z) * (x \ R(x,u,w)).
T(x,(y \ z) \ (L(y,u,w) \ z)) = x.
((x \ y) \ (L(x,z,u) \ y)) * (x \ y) = L(x,z,u) \ y.
x = T(x,y \ (z * (L(z,u,w) \ y))).
T(x,y \ (z * (L(z,u,w) \ y))) = x.
(x \ (y * (L(y,z,u) \ x))) * x = y * (L(y,z,u) \ x).
(x \ (y * (L(y,z,u) \ x))) * x != y * w | L(y,z,u) \ x = w.
L(T(x,y),z,u) \ (x * w) = x * (L(x,z,u) \ (K(y,x) * w)).
x * (L(x,y,z) \ (K(u,x) * w)) = L(T(x,u),y,z) \ (x * w).
(x * y) \ T((x * y) * (a(z,u,w) \ 1),a(z,u,w)) = 1 / T(a(z,u,w),x * (a(z,u,w) \ y)).
L(x * K(y,T(z,x)),u,w) / v5 = K(y,z) * (L(x,u,w) / v5).
T(T(x,K(y,T(z,u))),T(z,u)) = T(x,T(z,u / y)).
T(x,T(y,z / u)) = T(x,T(T(y,z),u)).
T(x,T(T(y,z),u)) = T(x,T(y,z / u)).
T(x,T(y,z / u)) = T(x,T(y,u * z)).
T(x,T(y,z / u)) = T(x,T(y,z * u)).
T(x,T(y,z)) = T(x,T(y,u * (z * u))).
T(x,T(y,z * (u * z))) = T(x,T(y,u)).
T(x,T(y,z)) = T(x,T(y,(z \ u) * u)).
T(x,T(y,(z \ u) * u)) = T(x,T(y,z)).
T(x * K(y,x),T(y,z * u)) = T(x,K(y,u / z)).
T(x,T(y / ((z / u) / w),z * u)) = T(x,(z / u) \ (y * w)).
T(x,T(y,z * u)) = T(x,T(y,u \ z)).
T(x,T(y,z \ u)) = T(x,T(y,u * z)).
T(x,T(y * T(z \ u,w),u * z)) = T(x,T(z \ u,w) * y).
T(x,K(y,z / u)) = T(x,K(y,u * z)).
T(x,K(y,z / u)) = x * K(x,K(y,u * z)).
x * K(x,K(y,z * u)) = T(x,K(y,u / z)).
x * y != T(x,z) | y = K(x,z).
K(x,K(y,z * u)) = K(x,K(y,u / z)).
K(x,K(y,z / u)) = K(x,K(y,u * z)).
T(x,T(y / (z * u),w)) = T(x,T(u \ (z \ y),z * (u * w))).
T(x,T(y \ (z \ u),z * (y * w))) = T(x,T(u / (z * y),w)).
L(x,y,a(z,u,w)) = (a(z,u,w) * (x * y)) / (a(z,u,w) * y).
(a(x,y,z) * (u * w)) / (a(x,y,z) * w) = L(u,w,a(x,y,z)).
((x \ y) / x) * ((y / x) / ((x \ y) / x)) = (x \ (x \ y)) * T(x,x \ y).
T(T(R(x,y,z) * L(R(x,y,z) \ x,u,w),v5),R(x,y,z)) = T(L(R(x,y,z),u,w) \ (L(x,u,w) * R(x,y,z)),v5).
T(x,(y \ 1) / (z \ (y \ z))) = T(x,z \ (y * (z * (y \ 1)))).
((x / y) \ 1) * R((y / x) \ z,x \ y,x) = R(z,x \ y,x).
(x * y) / R(y,y,x) = ((x / (x * y)) \ 1) \ (x * y).
((x / (x * y)) \ 1) \ (x * y) = (x * y) / R(y,y,x).
((x / (x * y)) \ 1) \ (x * y) = y * (R(y,y,x) \ x).
K(x,y) * K(R(x,z,u) * y,x) = a(R(x,z,u),y,x).
a(L(x,y,z),u,x) = K(x,u) * K(R(x,y,z) * u,x).
K(x,y) * K(R(x,z,u) * y,x) = a(L(x,z,u),y,x).
K(x,y) * K(x * y,x) = a(L(x,z,u),y,x).
a(L(x,y,z),u,x) = K(x,u) * K(x * u,x).
a(L(x,y,z),u,x) = a(x,u,x).
a(x,y,x) = a(x,y,R(x,z,u)).
a(x,y,R(x,z,u)) = a(x,y,x).
R(T(x \ L(x,y,z),x * u),x,u) = L(x \ L(x,y,z),x,u).
R(L(x,y,z),u,L(L(x,y,z) \ x,L(x,y,z),u)) \ (x * u) = u * ((L(x,y,z) * u) \ (x * u)).
(L(L(x,y,z) \ x,u,w) \ v5) \ v5 = L(L(x,y,z) \ x,u,w).
(x \ y) / L(x \ y,z,u) = L(y / x,z,u) \ (y / x).
L(x / y,z,u) \ (x / y) = L(y \ x,z,u) \ (y \ x).
(L(x \ L(x,y,z),u,w) \ v5) \ v5 = L(x \ L(x,y,z),u,w).
x * y != L(x,z,u) * L(x,w,v5) | y = L(x,w,v5) * (x \ L(x,z,u)).
(x \ L(x,y,z)) * L(x,u,w) = L(x,y,z) * (x \ L(x,u,w)).
(x * ((x \ y) / y)) * (((x \ y) / y) \ (x \ 1)) = 1.
(x * ((x \ y) / y)) \ 1 = ((x \ y) / y) \ (x \ 1).
(L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),x).
(L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,y,x).
a(x,y,z) = (L(z,y,x) * (y * x)) \ (z * (y * x)).
a(x,y,a(z,u,w)) = ((a(z,u,w) * y) * x) \ (a(z,u,w) * (y * x)).
((a(x,y,z) * u) * w) \ (a(x,y,z) * (u * w)) = a(w,u,a(x,y,z)).
a(x,a(y,z,u),w) = ((a(y,z,u) * w) * x) \ (w * (a(y,z,u) * x)).
((a(x,y,z) * u) * w) \ (u * (a(x,y,z) * w)) = a(w,a(x,y,z),u).
L(x,y,z * L(u * w,v5,v6)) = L(x,y,z * L(w * u,v5,v6)).
L(x,y,z * L(u \ K(w,v5),v6,v7)) = L(x,y,z * L(u \ 1,v6,v7)).
a(L(x * y,z,u),w,v5) = a(L(y * (K(v6,v7) * x),z,u),w,v5).
a(L(x * (K(y,z) * u),w,v5),v6,v7) = a(L(u * x,w,v5),v6,v7).
((x \ y) \ L(x \ y,z,u)) * K(x,x \ y) = L(y / x,z,u) / (x \ y).
L(a(x,y,z) \ (u / w),a(x,y,z),w) = u / (a(x,y,z) * w).
x * R(x \ K(y,z),u,w) = (R(x,u,w) \ x) * K(y,z).
(R(x,y,z) \ x) * K(u,w) = x * R(x \ K(u,w),y,z).
x * (y * R(y \ K(x,z),u,w)) = T(x,z) * (R(y,u,w) \ y).
(1 / x) * R(x * K(y,z),u,w) = R(x,u,w) * (x \ K(y,z)).
a(x * (y * z),u,w) = a(x * (y * (K(v5,v6) * z)),u,w).
a(x * (y * (K(z,u) * w)),v5,v6) = a(x * (y * w),v5,v6).
T(x,y) \ ((1 / y) \ T(x,y)) = ((1 / y) \ x) / T(x,y).
T(x,y) \ ((1 / y) \ T(x,y)) = x \ ((1 / y) \ x).
K(x,R(y,z,u) \ (y * w)) = K(x,y * (R(y,z,u) \ w)).
x * (L(T(x,y),z,u) \ w) = L(T(x,y),z,u) \ (x * w).
L(T(x,y),z,u) \ (x * w) = x * (L(T(x,y),z,u) \ w).
L(K(x,y) * z,u,w) / v5 = K(x,y) * (L(z,u,w) / v5).
L(x * (y / x),z,u) / w = K(x,x \ y) * (L(y,z,u) / w).
K(x,x \ y) * (L(y,z,u) / w) = L(x * (y / x),z,u) / w.
T(x,(y / z) \ (u * (1 / z))) = T(x,(y / (z \ 1)) \ (u * z)).
T(x,(y / (z \ 1)) \ (u * z)) = T(x,(y / z) \ (u * (1 / z))).
T(x,T(y * T(z \ (u \ z),u),(u \ z) * z)) = T(x,(((z \ (u \ z)) \ 1) \ 1) * y).
T(x,T(y \ T(z,u),u * (y * w))) = T(x,T((z * u) / (u * y),w)).
T(x,y \ (z * (y * (z \ 1)))) = T(x,z \ ((y \ (z \ y)) \ 1)).
T(x,y \ ((z \ (y \ z)) \ 1)) = T(x,z \ (y * (z * (y \ 1)))).
((x / y) \ 1) * T((z * x) / y,y / x) = R(z,x \ y,x).
R(x,y \ z,y) = ((x * y) / z) * ((y / z) \ 1).
((x * y) / z) * ((y / z) \ 1) = R(x,y \ z,y).
L(x,y,R(z,u \ w,u)) = L(x,y,((u / w) \ 1) * ((z * u) / w)).
L(x,y,((z / u) \ 1) * ((w * z) / u)) = L(x,y,R(w,z \ u,z)).
x \ R(y,x \ y,x) = K(y,x) * ((x / y) \ 1).
R(x \ L(x,y,z),x,u) = L(x \ L(x,y,z),x,u).
L(x \ L(x,y,z),x,u) = R(x \ L(x,y,z),x,u).
R((x \ L(x,y,z)) \ 1,x,u) = L(x \ L(x,y,z),x,u) \ 1.
K(x,y) * (z * R(z \ K(y,x),u,w)) = R(z,u,w) \ z.
T(x,(y / (z \ 1)) \ (u * z)) = T(x,(y / z) \ (u * (z \ 1))).
T(x,(y / z) \ (u * (z \ 1))) = T(x,z \ (1 / ((u * z) \ y))).
T(x,(y / z) \ (u * (z \ 1))) = T(x,z \ (((u * z) \ y) \ 1)).
R((x / y) * K(T(z,y),u),K(u,T(z,y)),y) = x / (y * K(u,z)).
T(T(x,y),z) / (u * T(x,y)) = T(x,T(z,y)) / (u * x).
T(T(x,T(y \ 1,z)) / (y * x),T(x,z)) = x / (y * x).
(x * R(y,z,y)) \ T(x,y) = (a(y,z,y) * (y * x)) \ x.
(a(x,y,x) * (x * z)) \ z = (z * R(x,y,x)) \ T(z,x).
(x * y) \ (x * (a(z,u,z) \ (y * w))) = a(z,u,z) \ L(w,y,x).
(x \ 1) * (y / T(x \ 1,x)) = (1 / x) * (y / (x \ 1)).
(x * L(T(y,z),u,w)) * T(z,y) = (x * L(y,u,w)) * z.
(1 / x) * (x / T(y,y \ 1)) = T((1 / x) * (x / y),y).
L(x,y,z \ R(u,w,w \ 1)) = L(x,y,z \ ((w \ 1) * (w * u))).
L(x,y,z \ ((u \ 1) * (u * w))) = L(x,y,z \ R(w,u,u \ 1)).
(x * y) / ((x * K(z,u)) * y) = K(u,T(z,x)).
(x * y) / (x * T(y,z)) = K(z,T(y,x)).
T(x,R(y \ (y / z),u,w) * v5) = T(x,R(z,u,w) \ v5).
a(x,y,T(z,u)) = a(x,y * K(z,u),z).
a(x,y * K(z,u),z) = a(x,y,T(z,u)).
x * (y \ (x \ y)) = y / (L(y,y \ (x \ y),x) * K(y,x \ 1)).
x / (L(x,x \ (y \ x),y) * K(x,y \ 1)) = y * (x \ (y \ x)).
T(x,y \ 1) * K(y \ x,x) = R(x,x \ (y \ x),x).
R(x,x \ (y \ x),x) = T(x,y \ 1) * K(y \ x,x).
R(x,x \ (y \ x),x) = R(x,y \ 1,x).
R(x * y,(x * y) \ y,x * y) = R(x * y,x \ 1,x * y).
(L(x,y,z) \ x) / (1 / L(x,y,z)) = x * K(x \ 1,x).
(L(x,y,z) \ x) / (1 / L(x,y,z)) = 1 / (1 / x).
R(K(x,y * z) * (1 / z),z,y) = T(y,z) / T(y * z,T(x,y)).
L(x,y,(z * (u * (z \ 1))) * w) = L(x,y,w * R(u,z,z \ 1)).
L(x,y,z * (u * (z \ 1))) = L(x,y,L(u,z,z \ 1)).
L(x,y,((z \ 1) * u) * z) = L(x,y,L(u,z,z \ 1)).
L(x,y,L(z,u,u \ 1)) = L(x,y,u * ((u \ 1) * z)).
L(x,y,z * ((z \ 1) * u)) = L(x,y,L(u,z,z \ 1)).
L(x,y,L(z,u,u \ 1)) = L(x,y,L(z,u \ 1,u)).
L(x,y,L(z,u \ 1,u)) = L(x,y,L(z,u,u \ 1)).
L(x,y,L(z * u,z,z \ 1)) = L(x,y,z * L(u,z,z \ 1)).
L(x,y,z * L(u,w,w \ 1)) = L(x,y,z * ((u * w) * (w \ 1))).
L(x,y,z * ((u * w) * (w \ 1))) = L(x,y,z * L(u,w,w \ 1)).
L(x,y,L(z,u,u \ 1) \ (((u * z) * w) * (u \ 1))) = L(x,y,L(w,u * z,u \ 1)).
L(x,y,L(z,u,u \ 1) \ w) = L(x,y,R(z,u,u \ 1) \ w).
L(x,y,L(z,u,u \ 1) \ (w * (u \ 1))) = L(x,y,R(z \ (w / u),u,u \ 1)).
L(x,y,(((1 / z) * u) * z) \ w) = L(x,y,L(u,z,z \ 1) \ w).
L(x,y,L(z,u,u \ 1) \ z) = L(x,y,a(z \ 1,u,u \ 1)).
L(x,y,a(z \ 1,u,u \ 1)) = L(x,y,L(z,u,u \ 1) \ z).
L(x,y,((z \ 1) * (u * z)) \ w) = L(x,y,L(u,z,z \ 1) \ w).
L(x,y,a(z \ 1,u,u \ 1)) = L(x,y,a(u \ 1,u,z)).
a(((x \ 1) * y) \ z,u,w) = a(L(y / x,x,x \ 1) \ z,u,w).
a(L(x / y,y,y \ 1) \ z,u,w) = a(((y \ 1) * x) \ z,u,w).
R(R(x,y,y \ 1),z,u) / R(x,z,u) = a(R(x,z,u),y \ 1,y).
a(L(x,y,y \ 1) \ z,u,w) = a(R(x,y,y \ 1) \ z,u,w).
a(L(x,y,y \ 1) \ 1,z,u) = a(R(x \ 1,y,y \ 1),z,u).
a(R(x \ 1,y,y \ 1),z,u) = a(L(x,y,y \ 1) \ 1,z,u).
a(L(x,y,y \ 1) \ x,z,u) = a(a(x \ 1,y,y \ 1),z,u).
a(a(x \ 1,y,y \ 1),z,u) = a(L(x,y,y \ 1) \ x,z,u).
a(L(x \ 1,y,y \ 1),z,u) = a(L(x,y,y \ 1) \ 1,z,u).
a(a(x \ 1,y,y \ 1),z,u) = a(a(y \ 1,y,x),z,u).
(x * ((L(y,z,u) \ y) * w)) / (x * w) = L(L(y,z,u) \ y,w,x).
R(a(x,x \ 1,y),z,u) = a(x,x \ 1,R(y,z,u)).
a(x,x \ 1,R(y,z,u)) = R(a(x,x \ 1,y),z,u).
L(x,y,L(z,u \ w,u)) = L(x,y,((u / w) \ 1) * ((z * u) / w)).
L(x,y,((z / u) \ 1) * ((w * z) / u)) = L(x,y,L(w,z \ u,z)).
R((x / y) * K(z,T(u,y)),K(u,T(z,y)),y) = x / (y * K(u,z)).
(x * y) \ (x * (y * (a(z,u,z) \ w))) = a(z,u,z) \ L(w,y,x).
L(x,y,z \ R(u,w,w \ 1)) = L(x,y,z \ L(u,w,w \ 1)).
L(x,y,z \ L(u,w,w \ 1)) = L(x,y,z \ R(u,w,w \ 1)).
L(x,y,z \ L(z,u,u \ 1)) = L(x,y,a(z,u,u \ 1)).
x / L(T(x,y \ 1),x \ (y \ x),y) = y * (x \ (y \ x)).
R(K(x,y * z) / z,z,y) = T(y,z) / T(y * z,T(x,y)).
R(K(x,y * z) / z,z,y) = y / T(z * y,T(T(x,y),z)).
R(K(x,y * z) / z,z,y) = y / T(z * y,T(x,z * y)).
R(K(x,y * z) / z,z,y) = y / T(z * y,x).
R(K(x,y \ z) / z,z,y \ 1) = (y \ 1) / T(z * (y \ 1),x).
L(x,y,z * R(u,w,w \ 1)) = L(x,y,z * L(u,w,w \ 1)).
L(x,y,z * L(u,w,w \ 1)) = L(x,y,z * R(u,w,w \ 1)).
L(x,y,z * (((1 / u) * w) * u)) = L(x,y,z * L(w,u,u \ 1)).
L(x,y,(z * (u * (z \ 1))) * w) = L(x,y,w * L(u,z,z \ 1)).
a(L((x / y) \ 1,y,y \ 1),z,u) = a(((y \ 1) * x) \ 1,z,u).
a(R(x,y,z),u \ 1,u) = R(R(x,u,u \ 1) / x,y,z).
R(R(x,y,y \ 1) / x,z,u) = a(R(x,z,u),y \ 1,y).
R(a(x,y,y \ 1),z,u) = a(R(x,z,u),y \ 1,y).
a(R(x,y,z),u \ 1,u) = R(a(x,u,u \ 1),y,z).
R(a(x,y,y \ 1),z,u) = a(R(x,z,u),y,y \ 1).
a(R(x,y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z).
a(L(x,y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z).
L(a(x,y,y \ 1),z,u) = a(L(x,z,u),y,y \ 1).
a(L(x,y,z),u,u \ 1) = L(a(x,u,u \ 1),y,z).
L(a(x,y,y \ 1),z,x) = a(x,y,y \ 1).
x * a(y,z,z \ 1) = y * ((y \ x) * a(y,z,z \ 1)).
x * ((x \ y) * a(x,z,z \ 1)) = y * a(x,z,z \ 1).
L(a(x,x \ y,(x \ y) \ 1),z,x) = x \ (y * ((x \ y) \ 1)).
L(x \ (y * ((x \ y) \ 1)),z,x) = x \ (y * ((x \ y) \ 1)).
x * (y \ (z * ((y \ z) \ 1))) = y * ((y \ x) * (y \ (z * ((y \ z) \ 1)))).
x * ((x \ y) * (x \ (z * ((x \ z) \ 1)))) = y * (x \ (z * ((x \ z) \ 1))).
L(L(x,y,z) \ x,u,L(x,y,z) \ x) = L(x,y,z) \ x.
a(L(x,y,z) \ x,u,L(x,y,z) \ x) = 1.
L(x,y,L(z,u \ w,u)) = L(x,y,((u / w) \ 1) * (w \ (z * u))).
L(x,y,((z / u) \ 1) * (u \ (w * z))) = L(x,y,L(w,z \ u,z)).
L(a(x,y,x) \ z,u,w) = a(x,y,x) \ L(z,u,w).
a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w).
L(L(x,y,x),z,u) = a(x,y,x) \ L(x,z,u).
a(x,y,x) \ L(x,z,u) = L(L(x,y,x),z,u).
x / L(a(y,z,y) \ u,w,v5) = (x / L(u,w,v5)) * a(y,z,y).
L(a(x,y,x) \ R(z,y,x),u,w) = x * R(x \ L(z,u,w),y,x).
R(x,y,x) * L(L(x,y,x),z,u) = x * L(x,z,u).
x \ L(L(x,y,x),z,u) = R(x,y,x) \ L(x,z,u).
R(x,y,x) \ L(x,z,u) = x \ L(L(x,y,x),z,u).
x * L(L(x,y,x),z,u) = L(x,y,x) * L(x,z,u).
L(x,y,x) * L(x,z,u) = x * L(L(x,y,x),z,u).
a(x,y,x) \ (z \ L(x,u,w)) = z \ L(L(x,y,x),u,w).
a(L(L(x,y,x),z,u),w,v5) = a(L(x,z,u),w,v5).
(L(x,y,z) \ x) \ L(x,u,x) = L(L(x,u,x),y,z).
a(L(L(x,y,z),u,x),w,v5) = a(L(x,y,z),w,v5).
a(x,y,x) * L(z,u,w) = L(a(x,y,x) * z,u,w).
L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w).
(x * L(x,y,z)) \ x = (x * L(L(x,u,x),y,z)) \ L(x,u,x).
(x * L(L(x,y,x),z,u)) \ L(x,y,x) = (x * L(x,z,u)) \ x.
x * y != L(x,z,u) * L(x,w,v5) | y = (x \ L(x,w,v5)) * L(x,z,u).
L(L(x,y,x),z,u) = (x \ L(x,z,u)) * L(x,y,x).
(x \ L(x,y,z)) * L(x,u,x) = L(L(x,u,x),y,z).
L(L(x,y,x),z,u) \ L(x,y,x) = L(x,z,u) \ x.
x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w).
L(a(x,y,x) * z,u,w) * v5 = L(z,u,w) * (a(x,y,x) * v5).
a(L(a(x,y,x) * z,u,w),v5,v6) = a(L(z,u,w),v5,v6).
x * y != L(y,z,u) | x = y \ L(y,z,u).
x \ L(x,y,z) = L(x,u,x) \ L(L(x,u,x),y,z).
L(x,y,x) \ L(L(x,y,x),z,u) = x \ L(x,z,u).
(x \ L(x,y,z)) / (1 / T(x,1)) = L(L(x,x \ 1,x),y,z).
a(L(L(x,y,x) \ z,u,w),v5,v6) = a(L(x \ z,u,w),v5,v6).
x * L(R(x,y,x),z,u) = R(x,y,x) * L(x,z,u).
R(x,y,x) * L(x,z,u) = x * L(R(x,y,x),z,u).
x * y != R(x,z,x) * L(x,u,w) | y = (L(x,u,w) \ x) \ R(x,z,x).
L(R(x,y,x),z,u) = (L(x,z,u) \ x) \ R(x,y,x).
(L(x,y,z) \ x) \ R(x,u,x) = L(R(x,u,x),y,z).
L(R(x,y,x),z,u) / x = ((L(x,z,u) \ x) \ x) / L(x,y,x).
((L(x,y,z) \ x) \ x) / L(x,u,x) = L(R(x,u,x),y,z) / x.
x / L(R(x,y,x),z,u) = a(x,y,x) \ (L(x,z,u) \ x).
a(x,y,x) \ (L(x,z,u) \ x) = x / L(R(x,y,x),z,u).
x / L(R(x,y,x),z,u) = L(x,z,u) \ L(x,y,x).
(x \ L(x,y,z)) / (1 / x) = L(L(x,x \ 1,x),y,z).
(x \ L(x,y,z)) / (1 / x) = L(1 / (1 / x),y,z).
L(1 / (1 / x),y,z) * x = L(x,y,z) / (x \ 1).
L(x,y,z) / (x \ 1) = x * L(1 / (1 / x),y,z).
x * L(1 / (1 / x),y,z) = L(x,y,z) / (x \ 1).
(x * L(L(x,y,x),z,x)) \ L(x,y,x) = (x * x) \ R(x,z,x).
L(R(x,y,x),z,u) * w = L(x,z,u) * (a(x,y,x) * w).
L(x,y,z) * (a(x,u,x) * w) = L(R(x,u,x),y,z) * w.
L(x,y,z) \ (L(R(x,u,x),y,z) * w) = a(x,u,x) * w.
L(x,y,z) \ L(R(x,u,x),y,z) = a(x,u,x).
L(a(x,y,x) \ z,L(x,u,w) \ L(R(x,y,x),u,w),L(x,u,w)) = L(R(x,y,x),u,w) \ (L(x,u,w) * z).
L(x,y,z) / L(x,u,x) = L(R(x,u,x),y,z) / x.
L(R(x,y,x),z,u) / x = L(x,z,u) / L(x,y,x).
L(R(x,y,x),z,u) / x = L(x,y,x) \ L(x,z,u).
a(((x \ 1) * y) \ 1,z,u) = a(L((x \ y) \ 1,x,x \ 1),z,u).
a(L((x \ y) \ 1,x,x \ 1),z,u) = a(((x \ 1) * y) \ 1,z,u).
L(x,y,L(z,u \ w,u)) = L(x,y,((w \ u) \ 1) * (w \ (z * u))).
L(x,y,((z \ u) \ 1) * (z \ (w * u))) = L(x,y,L(w,u \ z,u)).
L(R(a(x,y,x) \ z,y,x),u,w) = x * R(x \ L(z,u,w),y,x).
L(R(L(x,y,x),y,x),z,u) = x * R(x \ L(x,z,u),y,x).
L(x,y,z) = x * R(x \ L(x,y,z),u,x).
x * R(x \ L(x,y,z),u,x) = L(x,y,z).
x \ L(x,y,z) = R(x \ L(x,y,z),u,x).
R(x \ L(x,y,z),u,x) = x \ L(x,y,z).
L(R(x,y,x),z,u) \ x = (x * R(R(x,y,x) \ L(R(x,y,x),z,u),w,R(x,y,x))) \ L(x,y,x).
(x * R(R(x,y,x) \ L(R(x,y,x),z,u),w,R(x,y,x))) \ L(x,y,x) = L(R(x,y,x),z,u) \ x.
(x \ L(x,y,z)) * R(u,w,x) = R((x \ L(x,y,z)) * u,w,x).
R((x \ L(x,y,z)) * u,w,x) = (x \ L(x,y,z)) * R(u,w,x).
(x \ L(x,y,z)) * (u * x) = ((x \ L(x,y,z)) * u) * x.
((x \ L(x,y,z)) * u) * x = (x \ L(x,y,z)) * (u * x).
(x \ L(x,y,z)) \ x = ((x \ L(x,y,z)) \ 1) * x.
((x \ L(x,y,z)) \ 1) * x = (x \ L(x,y,z)) \ x.
(x \ L(x,y,z)) / x = (x \ L(x,y,z)) * (1 / x).
(x \ L(x,y,z)) * (1 / x) = (x \ L(x,y,z)) / x.
L(x,y,x \ L(x,z,u)) = x.
(x * (y \ L(y,z,u))) * y = (y \ L(y,z,u)) * (x * y).
L(R(x,y,z),u,x \ L(x,w,v5)) = R(x,y,z).
L(x,y,z) = L(L(x,y,z),u,x \ L(x,w,v5)).
L(L(x,y,z),u,x \ L(x,w,v5)) = L(x,y,z).
(x \ L(x,y,z)) \ ((x * (x \ L(x,y,z))) * u) = u * R(T(x,(x \ L(x,y,z)) * u),x \ L(x,y,z),u).
x * R(T(y,(y \ L(y,z,u)) * x),y \ L(y,z,u),x) = (y \ L(y,z,u)) \ ((y * (y \ L(y,z,u))) * x).
L(x,y,x \ ((R(z,z,x) \ z) \ x)) = x.
L(x,y,z) / L(x,u,w) = (L(x,y,z) / x) * (x / L(x,u,w)).
(L(x,y,z) / x) * (x / L(x,u,w)) = L(x,y,z) / L(x,u,w).
L(x,y,z) \ x = R(L(x,y,z) \ x,u,x).
R(L(x,y,z) \ x,u,x) = L(x,y,z) \ x.
R(L(x,y,z) \ x,u,w) = R(R(L(x,y,z) \ x,u,w),v5,x).
R(R(L(x,y,z) \ x,u,w),v5,x) = R(L(x,y,z) \ x,u,w).
R(x,y,z) * (L(z,u,w) \ z) = R(x * (L(z,u,w) \ z),y,z).
R(x * (L(y,z,u) \ y),w,y) = R(x,w,y) * (L(y,z,u) \ y).
(L(x,y,z) \ x) * (u * x) = ((L(x,y,z) \ x) * u) * x.
((L(x,y,z) \ x) * u) * x = (L(x,y,z) \ x) * (u * x).
(L(x,y,z) \ x) / x = (L(x,y,z) \ x) * (1 / x).
(L(x,y,z) \ x) * (1 / x) = (L(x,y,z) \ x) / x.
R(x,y,z) \ (L(z,u,w) \ z) = R(x \ (L(z,u,w) \ z),y,z).
R(x \ (L(y,z,u) \ y),w,y) = R(x,w,y) \ (L(y,z,u) \ y).
L(x,y,z) \ x = R(L(x,y,z) \ x,x,x \ 1).
R(L(x,y,z) \ x,x,x \ 1) = L(x,y,z) \ x.
(L(x,y,z) \ x) / (x \ 1) = (L(x,y,z) \ x) * x.
(L(x,y,z) \ x) * (1 / x) = 1 / L(x,y,z).
(L(x,y,z) \ x) \ (1 / L(x,y,z)) = 1 / x.
L(x,y,L(x,z,u) \ x) = x.
(x * (L(y,z,u) \ y)) * y = (L(y,z,u) \ y) * (x * y).
a(L(x,y,z) \ x,u,x) = 1.
L(R(x,y,z),u,L(x,w,v5) \ x) = R(x,y,z).
L(x,y,z) = L(L(x,y,z),u,L(x,w,v5) \ x).
L(L(x,y,z),u,L(x,w,v5) \ x) = L(x,y,z).
((L(x,y,z) \ x) * u) / x = (L(x,y,z) \ x) * (u / x).
(L(x,y,z) \ x) * (u * T(x,(L(x,y,z) \ x) * u)) = x * ((L(x,y,z) \ x) * u).
((L(x,y,z) \ x) * u) * L(x,w,v5) = (L(x,y,z) \ x) * (u * L(x,w,v5)).
(L(x,y,z) \ x) \ L(x,u,w) = ((L(x,y,z) \ x) \ 1) * L(x,u,w).
((L(x,y,z) \ x) \ 1) * L(x,u,w) = (L(x,y,z) \ x) \ L(x,u,w).
a(((R(x,x,y) \ x) \ y) \ y,z,y) = 1.
a(R(x,x,y) \ x,z,y) = 1.
((R(x,x,y) \ x) * (z * y)) * 1 = ((R(x,x,y) \ x) * z) * y.
(L(x,y,z) \ x) \ R(x,u,w) = ((L(x,y,z) \ x) \ 1) * R(x,u,w).
((L(x,y,z) \ x) \ 1) * R(x,u,w) = (L(x,y,z) \ x) \ R(x,u,w).
L(L(x,y,z),u,((R(w,w,x) \ w) \ x) \ x) = L(x,y,z).
(x * (L(y,z,u) \ y)) / y = (L(y,z,u) \ y) * (x / y).
L(L(x,y,z),u,R(w,w,x) \ w) = L(x,y,z).
(R(x,x,y) \ x) \ L(y,z,u) = ((R(x,x,y) \ x) \ 1) * L(y,z,u).
((R(x,x,y) \ x) \ 1) * L(y,z,u) = (R(x,x,y) \ x) \ L(y,z,u).
(L(x,y,z) \ x) * ((u * L(x,y,z)) / x) = R(u,L(x,y,z),L(x,y,z) \ x).
R(L(x,y,z) \ x,u,w) \ x = (R(L(x,y,z) \ x,u,w) \ 1) * x.
(R(L(x,y,z) \ x,u,w) \ 1) * x = R(L(x,y,z) \ x,u,w) \ x.
(R(x,x,y) \ x) * (z * y) = ((R(x,x,y) \ x) * z) * y.
((R(x,x,y) \ x) * z) * y = (R(x,x,y) \ x) * (z * y).
T(x,T(y / T(z,z * u),w)) = T(x,T(y / T(z,u),w)).
(x * a(y,z,y)) \ (u / L(y,z,y)) = x \ (u / y).
x \ (y / z) = a(z,u,z) \ (x \ (y / L(z,u,z))).
a(x,y,x) \ (z \ (u / L(x,y,x))) = z \ (u / x).
R(x * (y \ (z / x)),u,x) = x * R(y \ (z / L(x,u,x)),u,x).
x * R(y \ (z / L(x,u,x)),u,x) = R(x * (y \ (z / x)),u,x).
T(x * K(y,x \ z),T(z / x,y)) = T(((z / x) \ z) \ z,y) \ z.
T(T(x,y \ 1),K(y \ 1,z)) = T(x,T(L(y,u,w) \ 1,z)).
T(x,T(L(y,z,u) \ 1,w)) = T(x,T(y \ 1,w)).
L(T(x,T(x \ 1,y)),z,u) = (L(x,z,u) \ 1) \ 1.
L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1.
K(x * L((y \ 1) \ 1,z,u),w) = K(x * T(L(y,z,u),1),w).
((x * y) / x) * (x / (x * y)) = (K(y,x) / (x / (x * y))) \ y.
(K(x,y) / (y / (y * x))) \ x = ((y * x) / y) * (y / (y * x)).
(x \ (y \ R(y,z,u))) \ K(x \ 1,R(y,z,u) \ (y * x)) = 1 / (x \ (y \ R(y,z,u))).
T(x,y \ T(z,u / y)) = T(x,u \ (z * (((y / u) \ z) / z))).
((x * x) \ x) \ L(T(x \ 1,x),y,z) = x * L(x \ 1,y,z).
K(L(R(x,y,z) \ 1,u,w),x) * (((R(x,y,z) * R(x,y,z)) \ R(x,y,z)) \ L(T(R(x,y,z) \ 1,R(x,y,z)),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
x \ T(x * (y / L(x,z,u)),x) = (L(x,z,u) \ y) * a(x,L(x,z,u) \ y,x).
(L(x,y,z) \ u) * a(x,L(x,y,z) \ u,x) = x \ T(x * (u / L(x,y,z)),x).
L(x,y,(z * u) \ (K(w,v5) * v6)) = L(x,y,(u * (K(v5,w) * z)) \ v6).
L(x,y,(z * (K(u,w) * v5)) \ v6) = L(x,y,(v5 * z) \ (K(w,u) * v6)).
a((x * y) \ (K(z,u) * w),v5,v6) = a((y * (K(u,z) * x)) \ w,v5,v6).
a((x * (K(y,z) * u)) \ w,v5,v6) = a((u * x) \ (K(z,y) * w),v5,v6).
R((a(x,y,z) \ u) / u,u,u) = (u * u) \ (u * (a(x,y,z) \ u)).
(x * x) \ (x * (a(y,z,u) \ x)) = R((a(y,z,u) \ x) / x,x,x).
L(x \ (a(y,z,u) \ x),x,x) = R((a(y,z,u) \ x) / x,x,x).
L(x \ (a(y,z,u) \ x),x,x) = R(x \ (a(y,z,u) \ x),x,x).
((x * L(T(y,z),u,w)) * (L(y,u,w) \ y)) / T(y,z) = R(x,L(T(y,z),u,w),L(T(y,z),u,w) \ y).
(1 / (x / y)) / R(1 / (x / y),z,y \ x) = a(x / y,z,x / y).
R(x,R(y \ 1,z,u),R(y,z,u)) = R(x,R(y,z,u),R(y \ 1,z,u)).
T(T(x / (y \ 1),x),y \ K(x,x * y)) = (y \ K(x,y * x)) \ x.
L(x,y,z * ((u \ 1) \ (w * u))) = L(x,y,z * (u * ((1 / u) \ w))).
(x * (L(x,y,z) * u)) / T(x * L(x,y,z),u) = L(u,x,L(x,y,z)).
(x * (R(x,y,z) * u)) / T(x * R(x,y,z),u) = L(u,x,R(x,y,z)).
(x * (y * a(z,u,w))) / T(a(z,u,w) * x,y) = L(y,a(z,u,w),x).
(x / y) \ R(x,z,u) = (y \ ((x / y) \ R(x,z,u))) * y.
(x \ ((y / x) \ R(y,z,u))) * x = (y / x) \ R(y,z,u).
(x / y) \ (y \ R(y * (x / y),z,u)) = (y \ x) \ (y \ R(x,z,u)).
L(x,y,x \ (z \ ((1 / x) \ z))) = x.
L(x \ 1,y,(x \ 1) \ (z \ (x \ z))) = x \ 1.
(L(x,y,z) \ u) * a(x,x \ u,x) = x \ T(x * (u / L(x,y,z)),x).
L(x,y,(z \ ((u \ ((w \ v5) * v6)) * u)) \ v7) = L(x,y,(z \ ((v5 / w) * v6)) \ v7).
a((x \ (y / (x \ 1))) \ z,u,w) = a(((x \ 1) \ (x \ y)) \ z,u,w).
a(((x \ 1) \ (x \ y)) \ z,u,w) = a((x \ (y / (x \ 1))) \ z,u,w).
(x * a(y,z,y)) \ T(y,u) = x \ L(T(y,u),z,y).
x \ L(T(y,z),u,y) = a(y,u,y) \ (x \ T(y,z)).
a(x,y,x) \ (z \ T(x,u)) = z \ L(T(x,u),y,x).
(x * y) \ (z \ L(T(x,u),w,x)) = (R(x,w,x) * y) \ (z \ T(x,u)).
(R(x,y,x) * z) \ (u \ T(x,w)) = (x * z) \ (u \ L(T(x,w),y,x)).
((L(x,y,z) * u) \ (x * u)) \ (x * u) = L(x,y,z) * u.
a(x,y,z) \ (z * (y * x)) = L(z,y,x) * (y * x).
L(x,y \ L(y,z,u),y) = y * (L(y,z,u) \ (x * (y \ L(y,z,u)))).
x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = L(u,x \ L(x,y,z),x).
R(x,y \ L(y,z,u),y) = y * (L(y,z,u) \ (x * (y \ L(y,z,u)))).
x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = R(u,x \ L(x,y,z),x).
((x \ L(x,y,z)) * (u * x)) / L(x,y,z) = R(u,x \ L(x,y,z),x).
(x * y) * (x \ L(x,z,u)) != L(x,z,u) * w | L(y,x,x \ L(x,z,u)) = w.
L(x,y,z) * u != (x * w) * (x \ L(x,y,z)) | L(w,x,x \ L(x,y,z)) = u.
L(x,a(y,z,u),w) \ L(v5,a(y,z,u),w) = R(x \ v5,a(y,z,u),w).
(x \ R(x,x,y)) * L(y,z,u) = (R(x,x,y) \ x) \ L(y,z,u).
(R(x,x,y) \ x) \ L(y,z,u) = (x \ R(x,x,y)) * L(y,z,u).
R((L(x,y,z) \ x) \ 1,u,w) * x = R(L(x,y,z) \ x,u,w) \ x.
T(x * K(y,x \ z),T(z / x,y)) = T(x \ z,y) \ z.
T(x,T(y \ z,u) \ z) = T(x,z / T(z / y,u)).
T(x,y / T(y / z,u)) = T(x,T(z \ y,u) \ y).
L(x,y,(z * (K(u,w) * v5)) \ v6) = L(x,y,(v5 * z) \ v6).
a((x * (K(y,z) * u)) \ w,v5,v6) = a((u * x) \ w,v5,v6).
a(x / y,z,x / y) = R(1 / (x / y),z,y \ x) \ (1 / (x / y)).
R(1 / (x / y),z,y \ x) \ (1 / (x / y)) = a(x / y,z,x / y).
L(x,y,z * ((u \ 1) \ (w * u))) = L(x,y,z * (u * ((u \ 1) \ w))).
L(x,L(y,z,u),y) = L(x,y,L(y,z,u)).
L(x,R(y,z,u),y) = L(x,y,R(y,z,u)).
L(x,(y / (y * z)) \ 1,(y * z) / y) = L(x,(y * z) / y,R((y * z) / y,z,y)).
L(x,(y * z) / y,R((y * z) / y,z,y)) = L(x,(y / (y * z)) \ 1,(y * z) / y).
a(((x \ 1) \ (x \ y)) \ z,u,w) = a((x \ ((x \ 1) \ y)) \ z,u,w).
R(x,y \ L(y,z,u),y) = L(x,y \ L(y,z,u),y).
L(x,y \ L(y,z,u),y) = R(x,y \ L(y,z,u),y).
R(x,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)).
L(x,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)).
R((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = L(x,y,z) \ (x * u).
R(x \ y,x,x \ L(x,z,u)) = x \ L(y,x \ L(x,z,u),x).
L(x \ y,x \ L(x,z,u),x) = x \ L(y,x \ L(x,z,u),x).
L(x,y,z) * L(x \ u,x \ L(x,y,z),x) = (x \ L(x,y,z)) * u.
L(x \ y,a(z,u,w),v5) = L(x,a(z,u,w),v5) \ L(y,a(z,u,w),v5).
L(x,a(y,z,u),w) \ L(v5,a(y,z,u),w) = L(x \ v5,a(y,z,u),w).
L(x,y,z * ((u \ 1) \ w)) = L(x,y,z * (u * ((u \ 1) \ (w / u)))).
L(x,y,z * (u * ((u \ 1) \ (w / u)))) = L(x,y,z * ((u \ 1) \ w)).
(x \ L(x,y,z)) * u = x * ((x \ L(x,y,z)) * (x \ u)).
x * ((x \ L(x,y,z)) * (x \ u)) = (x \ L(x,y,z)) * u.
x * ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * (x * u).
(x \ L(x,y,z)) * (x * u) = x * ((x \ L(x,y,z)) * u).
((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) = a(x,x \ L(x,y,z),x \ u).
L(x,y,z * ((u \ 1) \ w)) = L(x,y,z * (u * ((u \ 1) \ (u \ w)))).
L(x,y,z * (u * ((u \ 1) \ (u \ w)))) = L(x,y,z * ((u \ 1) \ w)).
(L(x,y,x) * L(x,y,x)) \ L(x,y,x) = T(x \ a(x,y,x),x).
(x * L(L(x,y,x),y,x)) \ L(x,y,x) = T(x \ a(x,y,x),x).
T(x \ a(x,y,x),x) = (x * x) \ R(x,y,x).
(x * x) \ R(x,y,x) = T(x \ a(x,y,x),x).
a(R(x,y,z),u,R(x,y,z)) * K(u,x) = K(R(x,y,z) * u,x).
a(L(x,y,z),u,R(x,y,z)) * K(u,x) = K(R(x,y,z) * u,x).
a(L(x,y,z),u,R(x,y,z)) * K(u,x) = K(x * u,x).
x * K(y,z) != K(z * y,z) | x = a(z,y,z).
a(L(x,y,z),u,R(x,y,z)) = a(x,u,x).
a(L(x / (y / z),z \ y,z),u,(x * z) / y) = a(x / (y / z),u,x / (y / z)).
((x * (R(x,y,x) \ z)) \ x) \ x = T(a(x,y,x) \ z,z \ x).
T(a(x,y,x) \ z,z \ x) = ((x * (R(x,y,x) \ z)) \ x) \ x.
T(a(x,y,x) \ z,z \ x) = ((a(x,y,x) \ z) \ x) \ x.
T(a(x,y,x) \ z,z \ x) = (a(x,y,x) * (z \ x)) \ x.
T(a(x,y,x) \ z,z \ x) = (z \ R(x,y,x)) \ x.
a(1 / L(x,y,x),y,x) = a(x,y,x) \ 1.
a(x,y,x) \ 1 = a(L(x,y,x) \ 1,y,x).
a(L(x,y,x) \ 1,y,x) = a(x,y,x) \ 1.
a(x,y,x) \ 1 = a(x \ 1,y,x).
a(x \ 1,y,x) = a(x,y,x) \ 1.
R(a(x \ 1,y,x),z,u) = a(x,y,x) \ 1.
a(x \ 1,y,x) = x \ L(x,y,x).
x * a(y \ 1,z,y) = a(y,z,y) \ x.
a((x \ 1) \ 1,y,x \ 1) = x \ R(x,y,x \ 1).
a(x \ 1,y,x) = R(a(x \ 1,y,x),z,u).
R(a(x \ 1,y,x),z,u) = a(x \ 1,y,x).
x \ R(x,y,x \ 1) = a(x,y,x \ 1).
x * a(x,y,x \ 1) = R(x,y,x \ 1).
(x \ R(y,z,u)) \ T(R(y,z,u),w) = T(x,x \ y) * K(y,w).
(x \ R(y,z,u)) \ T(R(y,z,u),w) = (x \ y) \ T(y,w).
(x \ R(y,z,u)) \ R(T(y,w),z,u) = (x \ y) \ T(y,w).
a(x,y \ (x \ 1),y) = ((x * (y \ (x \ 1))) * y) * K(y,y \ (x \ 1)).
((x * (y \ (x \ 1))) * y) * K(y,y \ (x \ 1)) = a(x,y \ (x \ 1),y).
T((x \ (x / y)) * y,z) \ (x \ (x / y)) = 1 / y.
((x \ (x / y)) * y) \ (x \ (x / y)) = 1 / y.
((x / y) / x) / (1 / y) = K(x,x \ (x / y)) * ((x \ (x / y)) * y).
K(x,x \ (x / y)) * ((x \ (x / y)) * y) = ((x / y) / x) / (1 / y).
((x / y) / x) / (1 / y) = ((x / y) / x) * y.
K(x,y \ 1) * ((x \ (x / y)) * y) = ((x / y) / x) / (1 / y).
((x / (y \ 1)) / x) / y = ((x / (y \ 1)) / x) * (y \ 1).
((x / (y \ 1)) / x) * (y \ 1) = ((x / (y \ 1)) / x) / y.
L((1 / x) \ y,1 / x,((z / x) / z) * x) = ((z / x) / z) \ ((((z / x) / z) / (1 / x)) * y).
R((x / (1 / y)) / x,y,y \ 1) / y = ((x / (1 / y)) / x) / (1 / (1 / y)).
(x / y) / L(y \ x,y,x \ (x / y)) = ((x / y) / x) / (1 / y).
((x / y) / x) / (1 / y) = (x \ (T(x,y \ 1) / y)) * y.
(x \ (T(x,y \ 1) / y)) * y = ((x / y) / x) / (1 / y).
x * y != ((z / y) / z) / (1 / y) | x = (z / y) / z.
x \ (T(x,y \ 1) / y) = (x / y) / x.
T(x,T((T(y,z \ 1) / z) / y,T(y,z \ 1) / z) * u) = T(x,((y / z) / y) * u).
x \ (x / (y \ K((y \ 1) \ 1,x))) = (x / (y \ 1)) / x.
x \ (x / (y \ K(y,x))) = (x / (y \ 1)) / x.
(x / y) / L(y \ x,y,x \ (y \ x)) = ((x / y) / x) / (1 / y).
L(x,y,R(z,u,w) * R(K(v5,v6) * v7,u,w)) = L(x,y,R(v7 * z,u,w)).
(x * K(x * y,x)) / (z * K(y,T(x,x * y))) = R(x,y,x) / z.
(x * K(x * y,x)) / (z * K(y,x)) = R(x,y,x) / z.
R(x,y,x) / z = x / ((z * K(y,x)) * K(x,x * y)).
x / ((y * K(z,x)) * K(x,x * z)) = R(x,z,x) / y.
x / (y * (K(z,x) * K(x,x * z))) = R(x,z,x) / y.
x / (y * (x \ L(x,z,x))) = R(x,z,x) / y.
x / (x * y) = R(x,z,x) / (R(x,z,x) * y).
R(x,y,x) / (R(x,y,x) * z) = x / (x * z).
L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ L(v5,w,u)).
(L(a(x,y,z),u,u \ 1) \ u) / u = T(a(x,y,z) \ u,u) * (u \ 1).
L(x,y,((z * u) \ (u * (w * z))) \ v5) = L(x,y,L(w,z,u) \ v5).
a(((x * y) \ ((z * y) * x)) \ u,w,v5) = a(L(z,y,x) \ u,w,v5).
a(L(x,y,z) \ u,w,v5) = a(R(x,y,z) \ u,w,v5).
a(L(x,y,z) \ 1,u,w) = a(R(x \ 1,y,z),u,w).
a(R(x \ 1,y,z),u,w) = a(L(x,y,z) \ 1,u,w).
a(L(x,y,z) \ R(u,y,z),w,v5) = a(R(x \ u,y,z),w,v5).
a(R(L(x,y,z) \ u,w,v5),v6,v7) = a(R(R(x,w,v5),y,z) \ R(u,w,v5),v6,v7).
a(R(R(x,y,z),u,w) \ R(v5,y,z),v6,v7) = a(R(L(x,u,w) \ v5,y,z),v6,v7).
a(L(x,y,z) \ (u * x),w,v5) = a(x * (R(x,y,z) \ u),w,v5).
a(L(x \ y,z,y),u,w) = a(L(x,z,y) \ y,u,w).
a(L(x \ 1,y,z),u,w) = a(L(x,y,z) \ 1,u,w).
a(L(x \ y,z,y) \ y,u,w) = a(L(x,z,y),u,w).
a(L(R(x \ 1,y,z),u,w),v5,v6) = a(L(R(x,y,z),u,w) \ 1,v5,v6).
a(L(x \ y,z,u),w,v5) = a(L(x,z,u) \ R(y,z,u),w,v5).
a(L(x,y,z) \ R(u,y,z),w,v5) = a(L(x \ u,y,z),w,v5).
a(x * (R(x,y,z) \ u),w,v5) = a(x * (L(x,y,z) \ u),w,v5).
a(x * (L(x,y,z) \ u),w,v5) = a(x * (R(x,y,z) \ u),w,v5).
a(L(R(x \ 1,y,z),u,w),v5,v6) = a(R(L(x,u,w) \ 1,y,z),v5,v6).
a(L(L(x,y,z) \ 1,u,w),v5,v6) = a(L(R(x \ 1,u,w),y,z),v5,v6).
a(L(R(x \ 1,y,z),u,w),v5,v6) = a(L(L(x,u,w) \ 1,y,z),v5,v6).
a(L(L(x \ 1,y,z),u,w),v5,v6) = a(L(L(x,u,w) \ 1,y,z),v5,v6).
a(L(L(x \ 1,y,z),u,w),v5,v6) = a(L(L(x,y,z) \ 1,u,w),v5,v6).
(((x * (y * z)) / z) \ (x * y)) \ (x * y) = (x * (y * z)) / z.
T(x,y * (z \ T(u,w))) = T(x,y * (z \ T(u,u * w))).
T(x,y * (z \ T(u,u * w))) = T(x,y * (z \ T(u,w))).
T(x,y * (z \ T(u,w))) = T(x,y * (z \ T(u,u \ w))).
T(x,y * (z \ T(u,u \ w))) = T(x,y * (z \ T(u,w))).
T(x,y * (z \ ((u \ w) \ w))) = T(x,y * (z \ T(u,w))).
a(x,y \ (x \ 1),y) = (x * (y \ (x \ 1))) * T(y,y \ (x \ 1)).
(x * (y \ (x \ 1))) * T(y,y \ (x \ 1)) = a(x,y \ (x \ 1),y).
a(x,y \ (x \ 1),y) = (x * ((x \ 1) / y)) * y.
(x * ((x \ 1) / y)) * y = a(x,y \ (x \ 1),y).
a(x,y \ (x \ 1),y) / y = x * ((x \ 1) / y).
T(x * ((x \ 1) / y),y) = y \ a(x,y \ (x \ 1),y).
x \ a(y,x \ (y \ 1),x) = T(y * ((y \ 1) / x),x).
(x * ((x \ 1) / y)) / T(1 / y,a(x,y \ (x \ 1),y)) = (1 / y) \ (x * ((x \ 1) / y)).
x \ R(x,y \ (x \ 1),y) = a(x,y \ (x \ 1),y).
a(1 / x,y \ x,y) / y = (1 / x) * (((1 / x) \ 1) / y).
(1 / x) \ (y * ((y \ 1) / x)) = (x \ 1) \ (x \ a(y,x \ (y \ 1),x)).
(x \ 1) \ (x \ a(y,x \ (y \ 1),x)) = (1 / x) \ (y * ((y \ 1) / x)).
a(x,y \ (x \ 1),y) * x = R(x,y \ (x \ 1),y).
a(x \ 1,y \ x,y) / y = (1 / x) * (((1 / x) \ 1) / y).
a(x \ 1,y \ x,y) / y = (1 / x) * (x / y).
a((x * y) \ 1,y \ (x * y),y) / y = (1 / (x * y)) * x.
T((1 / x) * (x / y),y) = y \ a(x \ 1,y \ x,y).
x \ a(y \ 1,x \ y,x) = T((1 / y) * (y / x),x).
a(x \ 1,T(T(y,y \ 1),x) \ x,T(T(y,y \ 1),x)) / T(T(y,y \ 1),x) = (1 / x) * (R(y,x,y \ 1) \ x).
T((1 / x) * (x / T(y,z)),y) = T(y,z) \ a(x \ 1,T(y,z) \ x,T(y,z)).
T(x,y) \ a(z \ 1,T(x,y) \ z,T(x,y)) = T((1 / z) * (z / T(x,y)),x).
a((x * y) \ 1,T(x,y),y) / y = (1 / (x * y)) * x.
L(x,y,R(z * (K(u,w) * v5),v6,v7)) = L(x,y,R(v5 * z,v6,v7)).
L(x,y,L(z * (K(u,w) * v5),v6,v7)) = L(x,y,R(v5 * z,v6,v7)).
L(x,y,L(z * u,w,v5)) = L(x,y,L(u * (K(v6,v7) * z),w,v5)).
L(x,y,L(z * (K(u,w) * v5),v6,v7)) = L(x,y,L(v5 * z,v6,v7)).
(x \ 1) \ T(y * ((y \ 1) / x),x) = (1 / x) \ (y * ((y \ 1) / x)).
T(x,y) \ (y * (a(z,u,z) \ (K(x,y) * w))) = (x * a(z,u,z)) \ (y * w).
(x * (a(y,z,u) \ w)) / w = T(w \ ((a(y,z,u) \ w) * x),K(x,v5)).
T(x \ ((a(y,z,u) \ x) * w),K(w,v5)) = (w * (a(y,z,u) \ x)) / x.
(x * (a(y,z,u) \ w)) / w = T(w \ ((a(y,z,u) \ w) * x),K(v5,x)).
T(x \ ((a(y,z,u) \ x) * w),K(v5,w)) = (w * (a(y,z,u) \ x)) / x.
T(x \ ((a(y,z,u) \ x) * w),K(v5,w)) = x \ ((a(y,z,u) \ x) * w).
T((x \ (x / y)) \ 1,z \ (z / y)) * 1 = T(x \ (x / y),y) \ 1.
T((x \ (x / y)) \ 1,y \ 1) * 1 = T(x \ (x / y),y) \ 1.
T((x \ (x / y)) \ 1,y \ 1) = T(x \ (x / y),y) \ 1.
K(x,y) * (K(x * y,z) * K(x,K(z,x * y))) = (y \ T(x * y,z)) / x.
((1 / x) \ (x \ y)) * (x \ 1) = T(x,x \ 1) \ T(y,x \ 1).
T(x,x \ 1) \ T(y,x \ 1) = ((1 / x) \ (x \ y)) * (x \ 1).
((1 / x) \ (x \ y)) * (x \ 1) = x \ ((1 / x) \ (y * (x \ 1))).
x \ ((1 / x) \ (y * (x \ 1))) = ((1 / x) \ (x \ y)) * (x \ 1).
L(x,y,z * (u \ (w * T(v5,v6)))) = L(x,y,(u \ (w * v5)) * z).
L(x,y,z * (u \ (w * v5))) = L(x,y,(u \ (v5 * w)) * z).
L(x,y,(z \ (u * w)) * v5) = L(x,y,v5 * (z \ (w * u))).
a(x \ (y \ (z * T(u,w))),v5,v6) = a(x \ (y \ (z * u)),v5,v6).
(x / y) * (R(x / y,z,y \ x) \ 1) = (x / y) \ L(x / y,z,y \ x).
(x \ y) * (z \ (z / (x \ y))) = (y / x) * (z \ (z / (y / x))).
(x / y) * (z \ (z / (x / y))) = (y \ x) * (z \ (z / (y \ x))).
a(((x * (y \ 1)) * y) \ z,u,w) = a(((y \ 1) * (x * y)) \ z,u,w).
a(((x * (y \ 1)) * y) \ z,u,w) = a(L(x,y,y \ 1) \ z,u,w).
T((L(x,y,z) \ x) * (1 / x),x) = (L(x,y,z) \ x) * (x \ 1).
T(1 / L(x,y,z),x) = (L(x,y,z) \ x) * (x \ 1).
(L(x,y,z) \ x) * (x \ 1) = T(1 / L(x,y,z),x).
(L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1.
x * (y \ z) != L(y,u,w) \ z | x = (y \ z) \ (L(y,u,w) \ z).
L(x,y,z) \ x = (x \ 1) \ (L(x,y,z) \ 1).
(x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x.
x \ (L(1 / x,y,z) \ 1) = L(1 / x,y,z) \ (1 / x).
L(1 / x,y,z) \ (1 / x) = x \ (L(1 / x,y,z) \ 1).
(L(x * (y / x),z,u) \ y) * K(x,x \ y) = ((x * (y / x)) \ 1) \ (L(x * (y / x),z,u) \ 1).
((x * (y / x)) \ 1) \ (L(x * (y / x),z,u) \ 1) = (L(x * (y / x),z,u) \ y) * K(x,x \ y).
(x \ (L(1 / x,y,z) \ 1)) / (1 / x) = 1 / L(1 / x,y,z).
x \ (L(1 / x,y,z) \ 1) = L(x \ 1,y,z) \ (x \ 1).
L(x \ 1,y,z) \ (x \ 1) = x \ (L(1 / x,y,z) \ 1).
L(x \ 1,y,z) * (x \ (L(1 / x,y,z) \ 1)) = x \ 1.
(1 / (1 / x)) * L(x,y,z) = x / (L(x,y,z) \ 1).
(x * L(y,z,u)) \ ((y \ L(y,z,u)) * (x * y)) = a(x,y \ L(y,z,u),y).
(L(x,y,z) * u) / (x * ((x \ L(x,y,z)) * u)) = a(x \ L(x,y,z),x,u).
L(x,y,R(z,z,z \ u) * (w / u)) = L(x,y,L((z \ u) \ w,z,z \ u)).
L(x,y,L((z \ u) \ w,z,z \ u)) = L(x,y,R(z,z,z \ u) * (w / u)).
x \ ((x * a(y,z,u)) * w) = (w * (T(a(y,z,u),w) * x)) / x.
(x * (T(a(y,z,u),x) * w)) / w = w \ ((w * a(y,z,u)) * x).
(x * (a(y,z,u) * w)) / w = w \ ((w * a(y,z,u)) * x).
(x * y) / (a(z,u,w) \ y) = (a(z,u,w) \ y) \ (((a(z,u,w) \ y) * a(z,u,w)) * x).
(a(x,y,z) \ u) \ (((a(x,y,z) \ u) * a(x,y,z)) * w) = (w * u) / (a(x,y,z) \ u).
(L(x,y,a(z,u,w)) * (a(z,u,w) * y)) / y = y \ (a(z,u,w) * (T(y,a(z,u,w)) * x)).
(x * (y * a(z,u,w))) / y = y \ ((y * a(z,u,w)) * x).
L(x \ y,a(z,u,w),v5) \ (x \ y) = x \ (y * L(y \ x,a(z,u,w),v5)).
L(x * (a(y,z,u) \ (x \ w)),a(y,z,u),x) != x * v5 | (x * a(y,z,u)) \ w = v5.
((x \ y) / x) * ((y / x) / ((x \ y) / x)) = (x \ (y / x)) * x.
R(L(x,y,z) \ x,u,L(x,w,v5)) = L(x,y,z) \ x.
T(x,y) \ (y * (K(x,y) * (a(z,u,z) \ w))) = (x * a(z,u,z)) \ (y * w).
K(x,y) * (K(x * y,z) * K(x,K(z,y))) = (y \ T(x * y,z)) / x.
K(x,y) * (K(x * y,z) * K(x,K(y,z))) = (y \ T(x * y,z)) / x.
(1 / x) * (R(1 / x,y,x \ 1) \ 1) = x * L(x \ 1,y,x \ 1).
(1 / x) * R(x,y,x \ 1) = x * L(x \ 1,y,x \ 1).
x * L(x \ 1,y,x \ 1) = x \ R(x,y,x \ 1).
a(x,y \ L(y,z,u),y) = a(x,y,y \ L(y,z,u)).
a(x \ L(x,y,z),x,u) = a(x,x \ L(x,y,z),u).
L(x,y,L((z \ u) \ w,z,z \ u)) = L(x,y,R(z,z,z \ u) * (u \ w)).
T(x,y) \ (K(x,y) * (L(y,z,y) * u)) = (x * a(y,z,y)) \ (y * u).
(x * a(y,z,y)) \ (y * u) = x \ (L(y,z,y) * u).
x \ (L(y,z,y) * u) = a(y,z,y) \ (x \ (y * u)).
a(x,y,x) \ (z \ (x * u)) = z \ (L(x,y,x) * u).
L(R(x,y,y \ 1),y,L(x,y,y \ 1)) = T((y * x) * (y \ 1),x * y).
K(x \ 1,y) * (R(x,z,u) \ x) = x * T(R(x \ 1,z,u),T(y,x)).
K(x \ 1,y) * (R(x,z,u) \ x) = x * R(T(x \ 1,T(y,x)),z,u).
K(x \ 1,y) * (R(x,z,u) \ x) = x * R(T(x \ 1,y),z,u).
T((x / y) * R(y,z,u),K(w,(y \ x) * y)) = R(y,z,u) * (y \ x).
T((x / y) * R(y,z,u),K(w,T(x,y))) = R(y,z,u) * (y \ x).
L(x,L(y,z,u),L(y,z,u) \ y) * y = (L(y,z,u) \ y) * (x * L(y,z,u)).
((L(1 / x,y,z) \ 1) \ u) * (L(1 / x,y,z) \ 1) = u * K(u * L(1 / x,y,z),x).
((x \ (y * z)) * K(u,z)) * K(z * K(u,z),z * u) = x \ (y * L(z,u,z)).
((L(x,y,z) \ x) * (u / x)) * L(x,y,z) = L(u,L(x,y,z) \ x,L(x,y,z)).
(((x / L(y,z,u)) * y) \ x) \ x = y * (L(y,z,u) \ x).
((x * (L(x,y,z) \ u)) \ u) \ u = x * (L(x,y,z) \ u).
x / (y * (L(y,z,u) \ x)) = (y * (L(y,z,u) \ x)) \ x.
a(x * (y \ (L(z,u,z) * w)),v5,v6) = a((y \ (z * w)) * x,v5,v6).
(x * y) \ ((x * (L(z,u,w) \ z)) * y) = R(L(z,u,w) \ z,x,y).
(x * y) \ ((x * (z \ L(z,u,w))) * y) = R(z \ L(z,u,w),x,y).
(L(x,y,z) \ x) * ((u / x) * L(x,y,z)) = R(u,L(x,y,z),L(x,y,z) \ x).
((x * y) / R(x,y,y \ 1)) / y = ((x / (1 / y)) / x) / (1 / (1 / y)).
((x / (1 / y)) / x) / (1 / (1 / y)) = ((x * y) / R(x,y,y \ 1)) / y.
a(R(R(x,y,z) \ u,w,v5),v6,v7) = a(R(L(x,y,z) \ u,w,v5),v6,v7).
a(R(L(x,y,z) \ u,w,v5),v6,v7) = a(R(R(x,y,z) \ u,w,v5),v6,v7).
a(L(R(x,y,z) \ u,w,v5),v6,v7) = a(R(L(x,y,z) \ u,w,v5),v6,v7).
a(L(L(x,y,z) \ u,w,v5),v6,v7) = a(L(R(x,y,z) \ u,w,v5),v6,v7).
a(L(L(x,y,z) \ x,x,y * z),u,w) = a(a(x,y,z) \ 1,u,w).
T((1 / x) * (x / T(y,z)),y) = T((1 / x) * (x / T(y,z)),T(y,z)).
T((1 / x) * (x / T(y,z)),T(y,z)) = T((1 / x) * (x / T(y,z)),y).
L(x,L(y,z,u),L(y,z,u) \ y) * y = (x * L(y,z,u)) * (L(y,z,u) \ y).
((x \ (y * z)) * K(u,z)) * K(z,z * u) = x \ (y * L(z,u,z)).
x \ (y * L(z,u,z)) = (x \ (y * z)) * (K(u,z) * K(z,z * u)).
(x \ (y * z)) * (K(u,z) * K(z,z * u)) = x \ (y * L(z,u,z)).
x \ (y * L(z,u,z)) = a(z,u,z) \ (x \ (y * z)).
a(x,y,x) \ (z \ (u * x)) = z \ (u * L(x,y,x)).
L(x,L(y,z,u) \ y,L(y,z,u)) = (L(y,z,u) \ y) * ((x / y) * L(y,z,u)).
(L(x,y,z) \ x) * ((u / x) * L(x,y,z)) = L(u,L(x,y,z) \ x,L(x,y,z)).
x * y != (z * u) * (u \ y) | x = R(z,u,u \ y).
L(x,L(y,z,u),L(y,z,u) \ y) = R(x,L(y,z,u),L(y,z,u) \ y).
x * x = (x * L(x,y,z)) * (L(x,y,z) \ x).
(x * L(x,y,z)) * (L(x,y,z) \ x) = x * x.
x * x != (x * L(x,y,z)) * u | L(x,y,z) \ x = u.
(x * L(x,y,z)) * u != x * x | L(x,y,z) \ x = u.
L(x,L(y,z,u) \ y,L(y,z,u)) = R(x,L(y,z,u),L(y,z,u) \ y).
L(x,L(y,z,u),L(y,z,u) \ y) = L(x,L(y,z,u) \ y,L(y,z,u)).
L(x,L(y,z,u) \ y,L(y,z,u)) = L(x,L(y,z,u),L(y,z,u) \ y).
L((L(x,y,z) \ x) \ u,L(x,y,z),L(x,y,z) \ x) = x \ (L(x,y,z) * u).
L(a(x,y,x) \ T(z,x),a(x,y,x),L(x,y,x)) = x \ (z * L(x,y,x)).
T(T(x,y),x \ 1) * K(z,T(T(x,y) \ 1,x)) = T(T(x,y) \ 1,z) \ 1.
T(x \ (x / (K(y,z) / z)),K(y,z) / z) = x \ (x / T(z \ K(y,z),K(z,y))).
x / T(T(y * z,y \ (z \ x)),u) = T(T(L(z,y,z) * y,z),u) \ x.
T(T(L(x,y,x) * y,x),z) \ u = u / T(T(y * x,y \ (x \ u)),z).
T(x * y,z) \ u = u / T(T(x * y,x \ (y \ u)),z).
x / T(T(y * z,y \ (z \ x)),u) = T(y * z,u) \ x.
(x \ y) / T(y * (x \ 1),z) = T(y * (x \ 1),z) \ (x \ y).
(x * (y \ 1)) * L(R(y,y,y \ 1),z,u) = R(L(y,z,u) * (y \ x),y,y \ 1).
a(x \ L(x,y,z),x,x \ L(x,y,z)) = 1.
R(1 \ x,y,y \ L(y,z,u)) = (y \ L(y,z,u)) * R((y \ L(y,z,u)) \ x,y,y \ L(y,z,u)).
(x \ L(x,y,z)) * R((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = R(1 \ u,x,x \ L(x,y,z)).
x \ (((L(y,y \ x,y) \ 1) \ 1) \ x) = T(x \ (x / T(y,x)),y).
x \ (L((y \ 1) \ 1,y \ x,y) \ x) = T(x \ (x / T(y,x)),y).
x \ (R(y,x,y \ 1) \ x) = T(x \ (x / T(y,x)),y).
L(x,y,z * (R(T(u,w),v5,v6) * v7)) = L(x,y,(v7 * R(u,v5,v6)) * z).
R(x * y,z,z \ 1) / ((y * z) * (z \ 1)) = R(R(x,y,z),y * z,1 / z).
R(x * y,z,z \ 1) / R(y,z,z \ 1) = R(R(x,y,z),y * z,1 / z).
R(R(x,y,z),y * z,1 / z) = R(x,z,z \ 1).
R(x,y,y \ 1) = R(R(x,z,y),z * y,y \ 1).
R(R(x,y,z),y * z,z \ 1) = R(x,z,z \ 1).
(R(x,y,z) * u) / R(u * (x / u),y,z) = R(T(x,u),y,z) / (R(x,y,z) / u).
a((x \ ((y \ (z \ y)) * L(y,u,y))) \ w,v5,v6) = a((x \ (z \ L(y,u,y))) \ w,v5,v6).
a((x \ ((y \ z) * L(y,u,y))) \ w,v5,v6) = a(a(y,u,y) * ((x \ z) \ w),v5,v6).
R(x,y,z) * R(u,x,R(x,y,z) * (x \ 1)) = (u * x) * (x \ R(T(x,u),y,z)).
L(x,y,z) * R(u,x,L(x,y,z) * (x \ 1)) = (u * x) * (x \ L(T(x,u),y,z)).
(L(x,y,z) \ u) * w != x \ T(x * (u / L(x,y,z)),x) | w = a(x,x \ u,x).
a(x,L(x,y,z) \ u,x) = a(x,x \ u,x).
a(x,x \ y,x) * x = R(x,L(x,z,u) \ y,x).
R(x,L(x,y,z) \ u,x) = a(x,x \ u,x) * x.
R(x,L(x,y,z) \ u,x) = R(x,x \ u,x).
R(x,T(y,L(x,z,u)),x) = R(x,x \ (y * L(x,z,u)),x).
R(x,x \ (y * L(x,z,u)),x) = R(x,T(y,L(x,z,u)),x).
L(x,y,(z \ (u * (w \ v5))) \ v6) = L(x,y,(z \ ((v5 / w) * u)) \ v6).
L(x,y,(z \ ((u / w) * v5)) \ v6) = L(x,y,(z \ (v5 * (w \ u))) \ v6).
((x \ L(x,y,z)) * u) \ ((u / x) * L(x,y,z)) = a(x,x \ L(x,y,z),x \ u).
T(x \ (x / (K(y,z) / z)),K(y,z) / z) = x \ (x / (z \ K(y,z))).
(x * (y \ 1)) * L(T(y,y \ 1),z,u) = R(L(y,z,u) * (y \ x),y,y \ 1).
R(L(x,y,z) * (x \ u),x,x \ 1) = (u * (x \ 1)) * L(T(x,x \ 1),y,z).
a((x \ ((y \ z) * L(y,u,y))) \ w,v5,v6) = a((x \ z) \ w,v5,v6).
(x * y) \ ((x * y) / (x * T(y,z))) = (x * T(y,z)) \ 1.
(x * y) \ K(z,T(y,x)) = (x * T(y,z)) \ 1.
(x * (a(y,z,u) \ 1)) \ K(w,T(x,a(y,z,u) \ 1)) = ((a(y,z,u) \ 1) * T(x,w)) \ 1.
(x * y) / (x * (a(z,u,w) \ y)) = (x * (a(z,u,w) \ y)) \ (x * y).
T(x / (y \ L(y,z,u)),w) \ x = L(y,z,u) * (y \ K(w,y * (L(y,z,u) \ x))).
x / (L(a(y,z,u),w,v5) * x) = (x * L(a(y,z,u),w,v5)) \ x.
L(T(a(x,y,z) \ u,w),a(x,y,z),a(x,y,z) \ w) = w \ (u * (a(x,y,z) \ w)).
L(x,(y * z) / y,R((y * z) / y,z,y)) = L(x,(y / (y * z)) \ 1,z).
T((x \ L(x,y,z)) \ u,w) \ u = L(x,y,z) * (x \ K(w,x * (L(x,y,z) \ u))).
K((x * R(x \ (y \ (z * x)),u,w)) * y,v5) = K(y * (R(y \ z,u,w) * x),T(v5,y)).
K(x / y,z) * ((x \ y) * x) = ((x \ y) * x) * K(x / ((x \ y) * x),z).
((x \ y) * x) * K(x / ((x \ y) * x),z) = K(x / y,z) * ((x \ y) * x).
((x \ y) * x) * K((x \ y) \ 1,z) = K(x / y,z) * ((x \ y) * x).
((x \ y) * x) * K(y \ x,z) = K(x / y,z) * ((x \ y) * x).
K(x / y,z) * ((x \ y) * x) = ((x \ y) * x) * K(y \ x,z).
K(x / y,z) * ((x \ y) * x) = (x \ y) * (x * K(y \ x,z)).
(1 / x) \ T((x \ 1) / x,x) = ((x \ 1) / x) * ((1 / x) / ((x \ 1) / x)).
((x \ 1) / x) * ((1 / x) / ((x \ 1) / x)) = (1 / x) \ T((x \ 1) / x,x).
((x \ 1) / x) * ((1 / x) / ((x \ 1) / x)) = (1 / x) \ (x \ (x \ 1)).
(1 / x) \ (x \ (x \ 1)) = (x \ (1 / x)) * x.
((x / (x / y)) * L(x / (x / y),z,u)) * K(y,y \ x) = y * L(x / (x / y),z,u).
R(x,y,z) \ ((u / x) \ u) = (R(u / (u / x),y,z) \ x) * K(x \ u,x).
(R(x / (x / y),z,u) \ y) * K(y \ x,y) = R(y,z,u) \ ((x / y) \ x).
(R(x / (x / y),z,u) \ y) * K(y \ x,y) = R(y,z,u) \ y.
R(x / (x / y),z,u) \ (x / (x / y)) = R(y,z,u) \ y.
R(x,y,z) \ x = (u / x) \ (u * R(u \ (u / x),y,z)).
(x / y) \ (x * R(x \ (x / y),z,u)) = R(y,z,u) \ y.
R(x,y,x \ 1) \ x = a(1 / x,y,1 / x).
a(1 / x,y,1 / x) = R(x,y,x \ 1) \ x.
T(x,T(y * T((z / u) / z,u),z / (z * u))) = T(x,T((z / u) / z,T(u,z)) * y).
R(x \ R(x,y,y \ R(y,z,u)),x,R(T(y,w),z,u)) = a(x,y \ R(y,z,u),T(y,w)).
((T(x,y) \ 1) * R(T(z,T(x \ 1,y)),u,w)) * T(x,y) = (R(z,u,w) * (x \ 1)) * x.
(x * ((R(y,z,u) \ y) * w)) / (x * w) = L(R(y,z,u) \ y,w,x).
T(((x \ y) \ T(y,z)) * K(z,y),x) = (x \ R(y,u,w)) \ R(y,u,w).
T((x \ y) \ y,x) = (x \ R(y,z,u)) \ R(y,z,u).
(x \ R(y,z,u)) \ R(y,z,u) = (x \ y) \ y.
((x * L(x \ R(y,z,u),w,v5)) \ y) \ y = x * L(x \ R(y,z,u),w,v5).
R(T(x,y) \ 1,z,u) \ (x \ K(y,x)) = (R(T(x,y),z,u) \ T(x,y)) \ 1.
R(T(x,y) \ 1,z,u) \ (x \ K(y,x)) = (R(x,z,u) \ x) \ 1.
R(T(x,y) \ 1,z,u) \ (x \ K(y,x)) = x \ R(x,z,u).
K(x,y) \ (z * (u \ T(x,y))) = T(z * (u \ x),K(x,y)).
T(x * (y \ z),K(z,u)) = K(u,z) * (x * (y \ T(z,u))).
K(x,y) * (z * (u \ T(y,x))) = T(z * (u \ y),K(y,x)).
T((T(x,y) \ z) * (z \ T(x,y)),u) = T((x \ z) * (z \ x),K(x,y)).
T((T(x,y) \ z) * (z \ T(x,y)),u) = (x \ z) * (z \ x).
(x \ y) * (y \ x) = (T(x,z) \ y) * (y \ T(x,z)).
(T(x,y) \ z) * (z \ T(x,y)) = (x \ z) * (z \ x).
(x * ((y \ L(y,z,u)) * w)) / (x * w) = L(y \ L(y,z,u),w,x).
T(x,(((y \ (z \ y)) \ 1) \ 1) * u) = T(x,T(u * T(y \ (z \ y),z),z)).
T(x,T(y * T(z \ (u \ z),u),u)) = T(x,(((z \ (u \ z)) \ 1) \ 1) * y).
T(x,T((T(y,z \ 1) / z) / y,z \ y) * u) = T(x,((y / z) / y) * u).
(a(x,y,z) \ u) \ (u * w) = (w * u) / (a(x,y,z) \ u).
(x * y) / (a(z,u,w) \ y) = (a(z,u,w) \ y) \ (y * x).
a((x \ (y \ L(z,u,z))) \ w,v5,v6) = a((x \ (y \ z)) \ w,v5,v6).
K((x * R(x \ (y \ (z * x)),u,w)) * y,v5) = K((R(y \ z,u,w) * x) * y,v5).
K((x * R(x \ (y \ (z * x)),u,w)) * y,v5) = K(R(y \ z,u,w) * (x * y),v5).
K((x * R(x \ (y \ (z * x)),u,w)) * y,v5) = K((y \ z) * (x * y),v5).
K((x \ y) * (z * x),u) = K(z * (R(z \ (x \ (y * z)),w,v5) * x),u).
K(x * (R(x \ (y \ (z * x)),u,w) * y),v5) = K((y \ z) * (x * y),v5).
K(x * ((x \ (y \ (z * x))) * y),u) = K((y \ z) * (x * y),u).
K((x \ y) * (z * x),u) = K((x \ (y * z)) * x,u).
K((x \ (y * z)) * x,u) = K((x \ y) * (z * x),u).
K((x \ y) * (z * x),u) = K(y * z,T(u,x)).
x * L(y / (y / x),z,u) = (y / (y / x)) * (L(y / (y / x),z,u) * K(x,x \ y)).
(x / (x / y)) * (L(x / (x / y),z,u) * K(y,y \ x)) = y * L(x / (x / y),z,u).
T(x,T((y / z) / y,T(z,y)) * u) = T(x,T(u * T((y / z) / y,z),y * (y * z))).
T(x,T(y * T((z / u) / z,u),z * (z * u))) = T(x,T((z / u) / z,T(u,z)) * y).
a(x,y \ R(y,z,u),T(y,w)) = R(x \ R(x,y,y \ R(y,z,u)),x,R(y,z,u)).
R(x \ R(x,y,y \ R(y,z,u)),x,R(y,z,u)) = a(x,y \ R(y,z,u),T(y,w)).
a(x,y \ R(y,z,u),T(y,w)) = a(x,y,y \ R(y,z,u)).
a(x,y \ R(y,z,u),y) = a(x,y,y \ R(y,z,u)).
R(((T(x,y) \ 1) * T(z,T(x \ 1,y))) * T(x,y),u,w) = (R(z,u,w) * (x \ 1)) * x.
(x / (x / y)) * L((x / (x / y)) * K(y,y \ x),z,u) = y * L(x / (x / y),z,u).
R((x * (y \ K(z,y))) * T(y,z),u,w) = (R(x,u,w) * (y \ 1)) * y.
R((x * (y \ 1)) * y,z,u) = (R(x,z,u) * (y \ 1)) * y.
(x / (x / y)) * L(y,z,u) = y * L(x / (x / y),z,u).
x * L(1 / (1 / x),y,z) = x / (L(x,y,z) \ 1).
x / (L(x,y,z) \ 1) = L(x,y,z) / (x \ 1).
L(x,y,z) / (x \ 1) = x / (L(x,y,z) \ 1).
T(x / (L(x,y,z) \ 1),x \ 1) = (x \ 1) \ L(x,y,z).
L(x,y,(L(z,u,z) * (w \ (L(z,u,z) \ w))) \ z) = L(x,y,(w \ (L(z,u,z) \ w)) \ 1).
T(R(1 / x,x,y),z) * T(y * x,y) = T(y * x,y) * T((x * y) \ y,z).
T(R(1 / x,x,y),z) \ (T(y * x,y) * T((x * y) \ y,z)) = T(y * x,y).
R(T(1 / x,y),x,z) * T(z * x,z) = T(z * x,z) * T((x * z) \ z,y).
T(x * y,x) * T((y * x) \ x,z) = R(T(1 / y,z),y,x) * T(x * y,x).
R(T(1 / x,y),x,z) \ (T(z * x,z) * T((x * z) \ z,y)) = T(z * x,z).
T(x * y,x) * T((y * x) \ x,z) = (T(1 / y,z) * y) * R(x,y,x).
T(x * y,x) * T((y * x) \ x,z) = (y * T(y \ 1,z)) * R(x,y,x).
T(x * y,x) * T((y * x) \ x,z) = K(y \ 1,z) * R(x,y,x).
R(K(x \ 1,y) * z,x,z) = T(z * x,z) * T((x * z) \ z,y).
T(x * y,x) * T((y * x) \ x,z) = R(K(y \ 1,z) * x,y,x).
R(T(1 / x,y),x,z) \ R(K(x \ 1,y) * z,x,z) = T(z * x,z).
T(x * y,x) = R(T(1 / y,z) \ (K(y \ 1,z) * x),y,x).
R(T(1 / x,y) \ (K(x \ 1,y) * z),x,z) = T(z * x,z).
R((1 / x) \ y,x,y) = T(y * x,y).
R(x,y,(1 / y) * x) = T(((1 / y) * x) * y,(1 / y) * x).
T(((1 / x) * y) * x,(1 / x) * y) = R(y,x,(1 / x) * y).
R(x \ y,x \ 1,y) = T(y * (x \ 1),y).
(T(x * y,x) \ ((1 / y) \ x)) * (((1 / y) \ x) \ R((1 / y) \ x,y,x)) = 1.
a(L((1 / x) \ y,x,y),z,u) = a(T(y * x,y),z,u).
R(x,y \ 1,y * x) = T((y * x) * (y \ 1),y * x).
T((x * y) * (x \ 1),x * y) = R(y,x \ 1,x * y).
L(x,y,L(z \ u,z \ 1,u)) = L(x,y,T(u * (z \ 1),u)).
a(L((1 / x) \ y,x,y),z,u) = a(y * x,z,u).
a(L(x \ y,x \ 1,y),z,u) = a(y * (x \ 1),z,u).
a(x * y,z,u) = a(L((y \ 1) \ x,y,x),z,u).
a(L((x \ 1) \ y,x,y),z,u) = a(y * x,z,u).
T((x * y) * (x \ 1),y * x) = R(y,x \ 1,x * y).
L(R(x,y,y \ 1),y,L(x,y,y \ 1)) = R(x,y \ 1,y * x).
T(R(a(x,y,z) \ 1,u,u \ 1),(1 / u) * (a(x,y,z) \ 1)) = R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)).
L(x,y,L(z \ u,z \ 1,u)) = L(x,y,u * (z \ 1)).
(T(x * y,x) \ ((1 / y) \ x)) * (((1 / y) \ x) \ T(x * y,x)) = 1.
1 = ((x * y) \ ((1 / y) \ x)) * (((1 / y) \ x) \ (x * y)).
((x * y) \ ((1 / y) \ x)) * (((1 / y) \ x) \ (x * y)) = 1.
R(x,y,z) \ (x * R(x \ R(x,y,z),x,z * y)) = (R(x,y,z) \ x) * a(x,y,z).
R(x,y,z) \ (x * a(x,y,z)) = (R(x,y,z) \ x) * a(x,y,z).
(x \ (y \ R(y,z,u))) \ K(x \ 1,y * (R(y,z,u) \ x)) = 1 / (x \ (y \ R(y,z,u))).
(x * ((x \ 1) / y)) / (1 / y) = (1 / y) \ (x * ((x \ 1) / y)).
((x * y) * a(z,u,w)) / y = y \ (a(z,u,w) * (T(y,a(z,u,w)) * x)).
x \ (a(y,z,u) * (T(x,a(y,z,u)) * w)) = ((w * x) * a(y,z,u)) / x.
x \ (a(y,z,u) * (x * w)) = ((w * x) * a(y,z,u)) / x.
((x * y) * a(z,u,w)) / y = y \ (a(z,u,w) * (y * x)).
(a(x,y,z) * (u * w)) / w = w \ (a(x,y,z) * (w * u)).
((L(1 / x,y,z) \ 1) \ u) * (L(1 / x,y,z) \ 1) = u * K(u * L(x \ 1,y,z),x).
(x * (a(y,z,u) \ 1)) \ K(w,x) = ((a(y,z,u) \ 1) * T(x,w)) \ 1.
((a(x,y,z) \ 1) * T(u,w)) \ 1 = (u * (a(x,y,z) \ 1)) \ K(w,u).
L(x,y,(z * (u \ (z \ u))) \ z) = L(x,y,(u \ (L(z,w,z) \ u)) \ 1).
L(x,y,(z \ (L(u,w,u) \ z)) \ 1) = L(x,y,(u * (z \ (u \ z))) \ u).
L(x,y,(z \ (L(u,w,u) \ z)) \ 1) = L(x,y,1 / (z \ (u \ z))).
L(x,y,(z \ (L(u,w,u) \ z)) \ 1) = L(x,y,(z \ (u \ z)) \ 1).
(x \ (y \ R(y,z,u))) \ K(x \ 1,x) = 1 / (x \ (y \ R(y,z,u))).
1 / (x \ (y \ R(y,z,u))) = ((y \ R(y,z,u)) / x) \ 1.
K(R((x * y) \ z,u,w) * (x * y),v5) = K(R(y \ (x \ z),u,w) * (x * y),v5).
K(R((x * y) \ z,u,w) * (x * y),v5) = K((y \ (x \ z)) * (x * y),v5).
K(((x * y) \ z) * (x * y),u) = K((y \ (x \ z)) * (x * y),u).
K((x \ (y \ z)) * (y * x),u) = K(z,T(u,y * x)).
K(x,T(y,z * u)) = K((z \ x) * z,T(y,u)).
K((x \ y) * x,T(z,u)) = K(y,T(z,x * u)).
K(x,T(y,z * u)) = K(x,T(T(y,u),z)).
K(x,T(T(y,z),u)) = K(x,T(y,u * z)).
K(x,T(T(y,z),u)) = K(x,T(y,z * u)).
x * K(y,T(z,x * u)) = K(y,T(z,u)) * x.
K(x / y,T(z,y * u)) = K(y \ x,T(z,u)).
x * K(y,T(z,u * x)) = K(y,T(z,u)) * x.
K(x,T(y / z,y * u)) = K(x,T(z \ y,u)).
K(x,T(y,z * u)) * u = u * K(x,T(y,z)).
T(K(x,T(y,z)) * K(u,w),u) = K(x,T(y,z * u)) * K(u,w).
K(x,T(y,z * u)) = K(x,T(y,u * z)).
K(x,T(y,z)) = K(x,T(y,(u \ z) * u)).
K(x,T(y,(z \ u) * z)) = K(x,T(y,u)).
K(x,T(y,T(z,u))) = K(x,T(y,z)).
K(((x \ y) * x) * z,T(u,y)) = K(z * ((x \ y) * x),u).
K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u).
T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y).
K(x / T(y,z),T(u,y)) = K(T(y,z) \ x,u).
K(T(x,y) * z,T(u,x)) = K(z * T(x,y),u).
K(x,T(T(y,z) \ u,y)) = K(x,u / T(y,z)).
K(x,T(T(y,z),u)) = K(x,T(y,z * T(u,w))).
K(x,T(y,z * T(u,w))) = K(x,T(T(y,z),u)).
(x \ y) * K(z,T(u,y)) = K(z,T(u,x)) * (x \ y).
K(x,T(y,z)) * (z \ u) = (z \ u) * K(x,T(y,u)).
K(x \ (y / z),T(u,z)) = K((x * z) \ y,u).
x * (K(y,T(z,x)) * u) = K(y,z) * (x * u).
x \ (K(y,z) * (x * u)) = K(y,T(z,x)) * u.
K(x,T((y / z) \ u,z)) = K(x,y \ (u * z)).
x * y != K(z,T(u,w)) * x | y = K(z,T(u,x * w)).
K(x,T(y,z)) = K(x,T(y,u * (z * u))).
K(x,T(y,z * (u * z))) = K(x,T(y,u)).
K(x,T(y,z * u)) = K(x,T(y,u / z)).
K(x,T(y,z / u)) = K(x,T(y,u * z)).
K(x,T((y / z) / u,z * y)) = K(x,u \ (y / z)).
K(T(x,y) * z,T(u,w)) = K(z * T(x,y),T(u,x * w)).
K(x * T(y,z),T(u,y * w)) = K(T(y,z) * x,T(u,w)).
K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y).
K(T(x / T(y,z),y),u) = K(T(y,z) \ x,u).
T(T(x,y),x \ 1) * K(z,1 / T(x,y)) = T(T(x,y) \ 1,z) \ 1.
K(x,T(y,z * T(u,w))) = K(x,T(y,u * z)).
K((x * y) \ z,T(u,y)) = K(x \ (z / y),u).
L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w).
x * (K(y,x \ 1) * z) = K(y,x \ 1) * (x * z).
K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z).
x * (K(y / x,z) * u) = K(x \ y,z) * (x * u).
K(x \ y,z) * (x * u) = x * (K(y / x,z) * u).
x * (K(y,z) * u) = K(y,T(z,x)) * (x * u).
K(x,T(y,z)) * (z * u) = z * (K(x,y) * u).
x * (K(y,x * z) * u) = K(y,z * x) * (x * u).
K(x,y * z) * (z * u) = z * (K(x,z * y) * u).
x \ (K(y,z) * u) = K(y,T(z,x)) * (x \ u).
K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u).
x \ (K(y,z) * (u * x)) = K(y,T(z,x)) * T(u,x).
(x * y) \ (K(z,u) * (x * T(y,w))) = K(z,T(u,x * y)) * K(y,w).
K(x,y \ (z * u)) * u = u * K(x,(y / u) \ z).
T(x,T(y,K(z,u))) = T(x,y).
x * (y * z) != y * T(z,T(u,y)) | x = K(z,u).
K(x,T(y,K(z,u))) = K(x,y).
T(x,K(y,z) / u) = T(x,u \ K(y,z)).
T(x,y * K(z,u)) = T(x,K(z,u) * y).
T(x,K(y,z) * u) = T(x,u * K(y,z)).
T(x,T(y * K(z,u),w)) = T(x,T(K(z,u) * y,w)).
T(x,T(K(y,z) * u,w)) = T(x,T(u * K(y,z),w)).
T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)).
T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)).
T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)).
T(x,T(y,z)) = T(x,T(y,K(u,w) * z)).
T(x,T(y,K(z,u) * w)) = T(x,T(y,w)).
T(x,T(y,z)) = T(x,T(y,z * K(u,w))).
T(x,T(y,z * K(u,w))) = T(x,T(y,z)).
K(x,y) = T(K(x,y),K(z,u)).
T(K(x,y),K(z,u)) = K(x,y).
K(K(x,y) * z,u) = K(z * K(x,y),u).
K(x,y) * K(z,u) = K(z,u) * K(x,y).
K(x,y) * T(x,K(z,u)) = T(T(x,K(z,u)),y).
K(x,y) * K(x,K(z,u)) = x \ T(T(x,K(z,u)),y).
x \ T(T(x,K(y,z)),u) = K(x,u) * K(x,K(y,z)).
K(x,K(y,z)) * K(u,x) = x / T(T(x,K(y,z)),u).
x / T(T(x,K(y,z)),u) = K(x,K(y,z)) * K(u,x).
((T(x,y) / z) \ 1) * K(u,w) = (x / z) \ (K(u,w) * K(y,x)).
(x / y) \ (K(z,u) * K(w,x)) = ((T(x,w) / y) \ 1) * K(z,u).
K(K(x,y),K(z,u)) = 1.
T(x,y) * K(z,u) = x * (K(z,u) * K(x,y)).
x * (K(y,z) * K(x,u)) = T(x,u) * K(y,z).
T(K(x,y) * z,K(z,u)) = K(x,y) * z.
K(x,y) * K(y,x) = K(K(z,u),K(w,v5)).
K(K(x,y),K(z,u)) = K(w,v5) * K(v5,w).
1 = K(x,K(y,K(z,u))).
K(x,K(y,K(z,u))) = 1.
T(x,K(y,K(z,u))) = x.
T(x,T(y,z) \ (y / u)) = T(x,u \ K(z,y)).
T(x,((y * z) / y) \ u) = T(x,(z \ u) * K(z,y)).
T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))).
T(x,K(y,z) * (u / w)) = T(x,u * (w \ K(y,z))).
T(x,y \ (z * K(u,w))) = T(x,K(u,w) * (y \ z)).
T(x,T(y,T(z,u) * w)) = T(x,T(y,z * w)).
K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w).
K(K(x,y) * (z * x),u) = K(z * T(x,y),u).
R(K(x,y) * K(z,u),w,v5) = K(z,u) * R(K(x,y),w,v5).
K(x,K(y,z)) = K(T(x,u),K(y,z)).
K(T(x,y),K(z,u)) = K(x,K(z,u)).
K(x,K(y,z)) = K(x,T(K(y,z),u)).
K(x,T(K(y,z),u)) = K(x,K(y,z)).
K(x,K(y,z)) = K(x,K(y,T(z,u))).
K(x,K(y,T(z,u))) = K(x,K(y,z)).
K(x,K(y,z)) = K(x,K(y,u \ (z \ u))).
K(x,K(y,z \ (u \ z))) = K(x,K(y,u)).
K(x,T(y,z * u)) * T(z,w) = T(z,w) * K(x,T(y,u)).
K(x \ y,T(z,u)) = K((x / u) \ (y / u),z).
K((x / y) \ (z / y),u) = K(x \ z,T(u,y)).
K(x \ (y / z),u) = K(z \ (x \ y),T(u,z)).
K(x \ (y \ z),T(u,x)) = K(y \ (z / x),u).
K(x \ ((y \ z) / z),u) = K(z / (y * (x * z)),u).
K(x / (y * (z * x)),u) = K(z \ ((y \ x) / x),u).
K(x,T(y,z)) * (u * z) = z * (K(x,y) * T(u,z)).
x * (K(y,z) * u) = (x * K(y,z)) * u.
(x * K(y,z)) * u = x * (K(y,z) * u).
T(x,T(y,z * (K(u,w) * v5))) = T(x,T(y,z * v5)).
R(x,K(y,z),u) = x.
L(x,K(y,z),u) = x.
(x * (K(y,z) * u)) / u = x * K(y,z).
T(x * K(y,z),x) = K(y,z) * x.
R(x * K(y,z),u,w) = ((x * (K(y,z) * u)) * w) / (u * w).
((x * (K(y,z) * u)) * w) / (u * w) = R(x * K(y,z),u,w).
R(x,y * K(z,u),w) = ((x * (y * K(z,u))) * w) / (y * (K(z,u) * w)).
((x * (y * K(z,u))) * w) / (y * (K(z,u) * w)) = R(x,y * K(z,u),w).
T(x * K(y,z),u) = u \ (x * (K(y,z) * u)).
x \ (y * (K(z,u) * x)) = T(y * K(z,u),x).
((x \ y) * x) * z = y * (K(x \ y,x) * z).
x * (K(y \ x,y) * z) = ((y \ x) * y) * z.
R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5).
(x * (y / x)) * z = y * (K(x,x \ y) * z).
x * (K(y,y \ x) * z) = (y * (x / y)) * z.
(x * K(y,z)) * (z \ u) = x * (T(z,y) \ u).
L(x,y,x) * z = T(x,x * y) * (K(y,x) * z).
T(x,x * y) * (K(y,x) * z) = L(x,y,x) * z.
(x * (K(y,z) * u)) \ ((x * K(y,z)) * (u * w)) = L(w,u,x).
(x * T(y,z)) * u = (x * y) * (K(y,z) * u).
(x * y) * (K(y,z) * u) = (x * T(y,z)) * u.
L(x,y,((z * u) / w) * (K(z,v5) * v6)) = L(x,y,(w \ (T(z,v5) * u)) * v6).
L(x,y,((z \ u) / w) * (K(v5,z) * v6)) = L(x,y,(w \ (T(z,v5) \ u)) * v6).
(x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w) = a(x,u,w).
(x / y) * z = (x / T(y,u)) * (K(y,u) * z).
(x / T(y,z)) * (K(y,z) * u) = (x / y) * u.
(K(x,y) / x) * z = (1 / x) * (K(x,y) * z).
(1 / x) * (K(x,y) * z) = (K(x,y) / x) * z.
(x * y) * z = (x * T(y,u)) * (K(u,y) * z).
(x * T(y,z)) * (K(z,y) * u) = (x * y) * u.
(x / T(y,z)) * u = (x / y) * (K(z,y) * u).
(x / y) * (K(z,y) * u) = (x / T(y,z)) * u.
K(x,y) * (z * (K(y,x) * u)) = T(z,K(x,y)) * u.
(x \ K(y,z)) * u = (x \ 1) * (K(y,z) * u).
(x \ 1) * (K(y,z) * u) = (x \ K(y,z)) * u.
(x \ 1) * y = (x \ K(z,u)) * (K(u,z) * y).
(x \ K(y,z)) * (K(z,y) * u) = (x \ 1) * u.
(x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w).
(x \ T(y,z)) * u = (x \ y) * (K(y,z) * u).
(x \ y) * (K(y,z) * u) = (x \ T(y,z)) * u.
(x \ (y / z)) * u = (x \ (z \ y)) * (K(z,z \ y) * u).
(x \ (y \ z)) * (K(y,y \ z) * u) = (x \ (z / y)) * u.
T(x / ((y \ z) * y),z) * u = (z \ x) * (K(y,y \ z) * u).
(x \ L(x,y,z)) * (u * K(w,v5)) = u * (K(w,v5) * (x \ L(x,y,z))).
L(x * K(y,z),u,w) * v5 = L(x,u,w) * (K(y,z) * v5).
(x / K(y,z)) \ u = K(y,z) * (x \ u).
(x / y) * K(z,T(u,y)) = x / (y * K(u,z)).
T(K(x,y) * z,K(z,u)) = T(z * K(x,y),T(z,u)).
T(x * (y * K(z,u)),x * y) = K(z,u) * (x * y).
(x * (y * z)) / (z * y) = x * K(y,z).
(x * y) / (K(z,u) * y) = x * K(u,z).
(x * (y / (y / z))) / z = x * K(z \ y,z).
(x * ((y \ z) * y)) / z = x * K(y \ z,y).
(x * (y / z)) / (z \ y) = x * K(z,z \ y).
((x \ y) * x) \ z = K(x,x \ y) * (y \ z).
K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z.
(x * y) \ z = K(y,u) * ((x * T(y,u)) \ z).
K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u.
(x / T(y,z)) \ u = K(y,z) * ((x / y) \ u).
K(x,y) * ((z / x) \ u) = (z / T(x,y)) \ u.
(x * K(y,z)) \ u = K(z,y) * (x \ u).
(x \ 1) \ y = K(z,u) * ((x \ K(z,u)) \ y).
K(x,y) * ((z \ K(x,y)) \ u) = (z \ 1) \ u.
(x \ y) \ z = K(y,u) * ((x \ T(y,u)) \ z).
K(x,y) * ((z \ T(x,y)) \ u) = (z \ x) \ u.
x / (y * z) = (x / (z * y)) * K(z,y).
(x / (y * z)) * K(y,z) = x / (z * y).
((x * y) * z) / (z * y) = R(x,y,z) * K(y,z).
((x * y) * z) / ((y * z) * x) = a(x,y,z) * K(x,y * z).
(x * K(y,z)) * K(u,z * y) = (x * (y * z)) / T(z * y,u).
(x * (y * z)) / T(z * y,u) = (x * K(y,z)) * K(u,z * y).
x / (K(y,z) * u) = (x / u) * K(z,y).
(x * K(y,z)) \ (x * u) = K(z,y) * u.
(x * y) / (z * (y / z)) = x * K(z \ y,z).
R(x * K(y,z),u,w) \ v5 = K(z,y) * (R(x,u,w) \ v5).
(x * (y / x)) \ z = K(x \ y,x) * (y \ z).
K(x \ y,x) * (y \ z) = (x * (y / x)) \ z.
(x \ y) * ((z * K(x \ y,x)) \ u) = (y / x) * (z \ u).
T(x * K(y,z),y) \ u = K(z,y) * (T(x,y) \ u).
(x * T(y,z)) \ u = K(z,y) * ((x * y) \ u).
K(x,y) * ((z * y) \ u) = (z * T(y,x)) \ u.
(x \ K(y,z)) \ u = K(z,y) * ((x \ 1) \ u).
K(x,y) * ((z \ 1) \ u) = (z \ K(y,x)) \ u.
(x \ T(y,z)) \ u = K(z,y) * ((x \ y) \ u).
K(x,y) * ((z \ y) \ u) = (z \ T(y,x)) \ u.
L(T(x,y),z,u) \ w = K(y,x) * (L(x,z,u) \ w).
K(x,y) * (L(y,z,u) \ w) = L(T(y,x),z,u) \ w.
T(x / T(y,z),y) \ u = K(y,z) * ((y \ x) \ u).
(x / (y / z)) \ u = K(z,z \ y) * ((x / (z \ y)) \ u).
K(x,x \ y) * ((z / (x \ y)) \ u) = (z / (y / x)) \ u.
L(x * K(y,z),u,w) \ v5 = K(z,y) * (L(x,u,w) \ v5).
K(x,y \ 1) * (x \ ((y * (x \ (y \ x))) * x)) = a(y,x \ (y \ x),x).
(x / y) * K(y / z,z) = x / (z * (y / z)).
x / (y * z) != u * K(z,y) | x / (z * y) = u.
K(x,y) * (z / (x * y)) = T(z / (y * x),K(y,x)).
T(x / (y * z),K(y,z)) = K(z,y) * (x / (z * y)).
(x / (y * z)) * z = (x / (z * y)) * T(z,y).
(x / (y * z)) * T(y,z) = (x / (z * y)) * y.
K(x,y) / (z / (y * x)) = 1 / (z / (x * y)).
R(x,y,x) / (R(x,y,x) * z) = (x / (z * x)) * K(z,x).
(x / (y * z)) * u = (x / (z * y)) * (K(z,y) * u).
(x / (y * z)) * (K(y,z) * u) = (x / (z * y)) * u.
(x / (y * z)) \ u = K(y,z) * ((x / (z * y)) \ u).
K(x,y) * ((z / (y * x)) \ u) = (z / (x * y)) \ u.
x / (K(y,z) / u) = (x / (1 / u)) * K(z,y).
(x / (1 / y)) * K(z,u) = x / (K(u,z) / y).
x / (T(y,z) * u) = (x / (y * u)) * K(z,y).
(x / (y * z)) * K(u,y) = x / (T(y,u) * z).
x / (1 / y) = (x / (K(z,u) / y)) * K(z,u).
(x / (K(y,z) / u)) * K(y,z) = x / (1 / u).
x / (T(y,z) \ u) = (x / (y \ u)) * K(y,z).
(x / (y \ z)) * K(y,u) = x / (T(y,u) \ z).
x / (y * (z / y)) = (x / z) * K(y \ z,y).
(x / y) * K(z \ y,z) = x / (z * (y / z)).
x / (y * T(z,z \ 1)) = (x / (y * z)) * K(z \ 1,z).
(x / (y * z)) * K(z \ 1,z) = x / (y * T(z,z \ 1)).
(((x * (K(y,z) * u)) * w) / (u * w)) * K(z,y) = R(x,K(y,z) * u,w).
x / (y * K(z,u / y)) = (x / y) * K(y \ u,z).
x / (y * K(z,y \ u)) = (x / y) * K(u / y,z).
K(x,T(y,z)) * (z \ 1) = z \ K(x,y).
K(x,y) * (T(y,z) \ u) = T(y,z) \ (K(x,y) * u).
T(x,y) \ (K(z,x) * u) = K(z,x) * (T(x,y) \ u).
K(x,y) * ((R(z,u,w) \ z) \ v5) = (R(z,u,w) \ z) \ (K(x,y) * v5).
(R(x,y,z) \ x) \ (K(u,w) * v5) = K(u,w) * ((R(x,y,z) \ x) \ v5).
(x \ (K(y,z) * u)) * w = K(y,T(z,x)) * ((x \ u) * w).
K(x,T(y,z)) * ((z \ u) * w) = (z \ (K(x,y) * u)) * w.
K(x,T(y,z)) * (z \ x) = z \ T(x,y).
K(x,y) * (a(z,u,w) \ v5) = a(z,u,w) \ (K(x,y) * v5).
a(x,y,z) \ (K(u,w) * v5) = K(u,w) * (a(x,y,z) \ v5).
K(x,y) * (z \ u) = z \ (K(x,T(y,z)) * u).
x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u).
K(x \ y,z) * (x \ u) = x \ (K(y / x,z) * u).
x \ (K(y / x,z) * u) = K(x \ y,z) * (x \ u).
K(x,y) * ((z \ R(z,u,w)) \ 1) = (z \ R(z,u,w)) \ K(x,y).
(x \ K(y,z)) \ K(y,T(z,x)) = (x \ 1) \ 1.
(x \ K(y,z)) * u = K(y,T(z,x)) * ((x \ 1) * u).
K(x,T(y,z)) * ((z \ 1) * u) = (z \ K(x,y)) * u.
K(x * y,z) * (y \ 1) = y \ K(y * x,z).
K(x,y) * ((L(z,u,w) \ z) \ 1) = (L(z,u,w) \ z) \ K(x,y).
K(x,y) * ((z \ L(z,u,w)) \ 1) = (z \ L(z,u,w)) \ K(x,y).
(x \ T(y,z)) / (x \ y) = K(y,T(z,x)).
T(x,T(y,z)) \ (z \ T(x,y)) = x \ (z \ x).
a((x \ (y \ T(z,u))) \ w,v5,v6) = a((x \ (y \ z)) \ w,v5,v6).
(x \ T(y * x,z)) / T(y,x) = K(y * x,T(z,x)).
T(x,y / T(z \ 1,u)) = T(x,K(u,z \ 1) * (y * z)).
T(x,K(y,z \ 1) * (u * z)) = T(x,u / T(z \ 1,y)).
K(x,y) * z != T(T(x,K(u,w)),y) | z = T(x,K(w,T(u,y))).
T(x,K(y,z)) = T(x,K(z,T(y,u))).
T(x,K(y,T(z,u))) = T(x,K(z,y)).
T(T(x,T(y,z)),K(y,u)) = T(x,T(T(y,z),u)).
T((x / y) * R(y,z,u),K(x,w)) = R(y,z,u) * (y \ x).
T(x,y \ K(z * u,z)) = T(x,K(u,z) / y).
T(x,T(y,z * u)) = T(x,T(y,u * T(z,w))).
T(x,T(y,z * T(u,w))) = T(x,T(y,u * z)).
K((x / y) \ z,u) = K(x \ (z * y),T(u,y)).
K(x \ (y * z),T(u,z)) = K((x / z) \ y,u).
K(x \ (y / z),u) = K((x \ y) / z,u).
K((x \ y) / z,u) = K(x \ (y / z),u).
K(x / y,z) = K(u \ ((u * x) / y),z).
K(x \ ((x * y) / z),u) = K(y / z,u).
K(x \ (y / (1 / z)),u) = K((x \ y) * z,u).
K(x \ (y / (z \ 1)),u) = K((x \ y) * z,u).
K(T(x / y,x) / z,u) = K(y \ (x / z),u).
K(x \ (y / (z * u)),T(w,z)) = K(z \ ((x \ y) / u),w).
K(x / (y \ z),u) = K((y * x) / z,T(u,y)).
K((x * y) / z,T(u,x)) = K(y / (x \ z),u).
x \ (y * (x * K(z \ x,u))) = T(y * K(x / z,u),x).
x \ (y * (x * K(z,u * x))) = T(y * K(z,x * u),x).
T(x,K(y,z) * ((u \ w) * u)) = T(x,w * (K(u \ w,u) * K(y,z))).
T(x,y * (K(z \ y,z) * K(u,w))) = T(x,K(u,w) * ((z \ y) * z)).
(x * y) * (y \ z) = (y * x) * (T(y,x) \ z).
(x * y) * (T(x,y) \ z) = (y * x) * (x \ z).
(x \ y) * (y \ z) = (x \ T(y,u)) * (T(y,u) \ z).
(x \ T(y,z)) * (T(y,z) \ u) = (x \ y) * (y \ u).
L(x,y,(z * T(u,w)) * v5) = L(x,y,(z * u) * v5).
((1 / x) * T(y,z)) * x = T(((1 / x) * y) * x,z).
T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x.
(x / T(y,z)) * (u * K(y,z)) = (x / y) * T(u,K(y,z)).
L(x / (y / z),u,w) * (y / z) = (y / T(z,v5)) * (K(z,v5) * L((y / z) \ x,u,w)).
(x / T(y,z)) * (K(y,z) * L((x / y) \ u,w,v5)) = L(u / (x / y),w,v5) * (x / y).
(x / T(y,z)) * K(u,K(y,z)) = (x / y) * K(T(z,u),y).
(x / T(y,z)) * L(T(y,z),u,w) = (x / y) * L(y,u,w).
(1 / x) * ((x \ y) * T(x,y)) = (K(x,y) / x) * ((x \ y) * x).
(K(x,y) / x) * ((x \ y) * x) = (1 / x) * ((x \ y) * T(x,y)).
(K(x,y) / x) * ((x \ z) * x) = T((1 / x) * (K(x,y) * z),x).
T((1 / x) * (K(x,y) * z),x) = (K(x,y) / x) * ((x \ z) * x).
(x * (y * z)) \ ((x * y) * z) = a(x,T(y,u),K(u,y) * z).
a(x,T(y,z),K(z,y) * u) = (x * (y * u)) \ ((x * y) * u).
(x / (y \ 1)) * (K(y * x,y \ 1) * z) = ((y \ 1) \ x) * z.
(x \ 1) * (y * z) = (x \ K(y,z)) * (z * y).
(x \ K(y,z)) * (z * y) = (x \ 1) * (y * z).
(x \ K(y,z)) * L(T(z,y),u,w) = (x \ 1) * L(z,u,w).
(x \ y) * (K(y,z) * R((x \ T(y,z)) \ 1,u,w)) = R(x \ T(y,z),u,w) \ (x \ T(y,z)).
(x \ T(y,z)) * x = T((x \ y) * x,z).
T((x \ y) * x,z) = (x \ T(y,z)) * x.
L(x,y,((z \ T(u,w)) * v5) \ v6) = L(x,y,(v5 * (z \ u)) \ v6).
a(((x \ T(y,z)) * u) \ w,v5,v6) = a((u * (x \ y)) \ w,v5,v6).
T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w).
a(x,y,z) \ T(u,w) = T(a(x,y,z) \ u,w).
((x \ (x / y)) \ 1) * K(z,T(u,T(x \ (x / y),y))) = 1 / (T(x \ (x / y),y) * K(u,z)).
((x * y) / (1 / y)) / y = (x / (1 / y)) * K(y \ 1,y).
(x / (1 / y)) * K(y \ 1,y) = ((x * y) / (1 / y)) / y.
L(x / y,z,u) / (y \ x) = ((x / y) \ L(x / y,z,u)) * K(y,y \ x).
((x / y) \ L(x / y,z,u)) * K(y,y \ x) = L(x / y,z,u) / (y \ x).
(((x \ y) * x) \ z) \ u = (y \ z) \ (K(x \ y,x) * u).
(x \ y) \ (K(z \ x,z) * u) = (((z \ x) * z) \ y) \ u.
a(x * (((y \ z) * y) \ u),w,v5) = a((z \ u) * x,w,v5).
((x * y) \ z) * u = K(y,w) * (((x * T(y,w)) \ z) * u).
K(x,y) * (((z * T(x,y)) \ u) * w) = ((z * x) \ u) * w.
x * ((y * x) \ z) = T(x,u) * ((y * T(x,u)) \ z).
T(x,y) * ((z * T(x,y)) \ u) = x * ((z * x) \ u).
T(x,y) \ ((z * x) \ u) = x \ ((z * T(x,y)) \ u).
L(x,y,(z * u) \ w) = L(x,y,(z * T(u,v5)) \ w).
L(x,y,(z * T(u,w)) \ v5) = L(x,y,(z * u) \ v5).
a((x * y) \ z,u,w) = a((x * T(y,v5)) \ z,u,w).
a((x * T(y,z)) \ u,w,v5) = a((x * y) \ u,w,v5).
L(x,y,z \ ((u * w) \ v5)) = L(x,y,z \ ((u * T(w,v6)) \ v5)).
L(x,y,z \ ((u * T(w,v5)) \ v6)) = L(x,y,z \ ((u * w) \ v6)).
x \ R(y,x \ y,x) = (x / T(y,x)) \ 1.
((x \ 1) \ y) \ K(z,u) = ((x \ K(z,u)) \ y) \ 1.
((x \ K(y,z)) \ u) \ 1 = ((x \ 1) \ u) \ K(y,z).
a(x \ ((y \ 1) \ z),u,w) = a(x \ ((y \ K(v5,v6)) \ z),u,w).
a(x \ ((y \ K(z,u)) \ w),v5,v6) = a(x \ ((y \ 1) \ w),v5,v6).
L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ ((u \ T(w,v6)) \ v5)).
L(x,y,z \ ((u \ T(w,v5)) \ v6)) = L(x,y,z \ ((u \ w) \ v6)).
L(x,y,L((z \ u) \ w,v5,v6)) = L(x,y,L((z \ T(u,v7)) \ w,v5,v6)).
L(x,y,L((z \ T(u,w)) \ v5,v6,v7)) = L(x,y,L((z \ u) \ v5,v6,v7)).
(R(x,y,z) * u) / (w * (R(x,y,z) / w)) = ((x * u) / x) * K(w \ R(x,y,z),w).
T(x,x \ y) * ((x * (y / x)) \ z) = x * (y \ z).
L(x,y,z * ((u * (w / u)) \ v5)) = L(x,y,(w \ v5) * z).
(x * T(y,y \ 1)) \ x = T((x * y) \ x,y).
a(((x * T(y,z)) \ u) \ w,v5,v6) = a((((x * y) \ u) * K(z,y)) \ w,v5,v6).
a((((x * y) \ z) * K(u,y)) \ w,v5,v6) = a(((x * T(y,u)) \ z) \ w,v5,v6).
((x \ 1) \ y) * K(z,(x \ 1) \ y) = (x \ K(x * y,z)) \ y.
(x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y).
T(x,y) * T(z / (x * y),T(x,y)) = (z / (y * x)) * x.
(1 / (x / (y * x))) \ y = ((x * y) / x) * (x / (x * y)).
((x * y) / x) * (x / (x * y)) = (1 / (x / (y * x))) \ y.
K(x \ 1,x) * (y * (z / (x * u))) = y * (z / (T(x,x \ 1) * u)).
K(x,y) / (1 / z) = z * ((z \ K(x,y)) * z).
x * ((x \ K(y,z)) * x) = K(y,z) / (1 / x).
x \ (x \ K(y,z)) = K(y,z) * (x \ (x \ 1)).
K(x,y) * (z \ (z \ 1)) = z \ (z \ K(x,y)).
K(x,y) * ((z \ 1) \ K(y,T(x,z))) = (z \ 1) \ 1.
T(x,y \ z) \ ((z / y) \ T(x,y \ z)) = x \ ((z / y) \ x).
T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x).
T(x,y) \ (a(z,u,w) \ T(x,y)) = x \ (a(z,u,w) \ x).
T(T(x,K(y,z)),K(y,u)) = T(x * K(y,x),T(T(y,z),u)).
T(x * K(y,x),T(T(y,z),u)) = T(T(x,K(y,z)),K(y,u)).
T(x,y \ K(z * u,z)) = T(x,y \ K(u,z)).
T(x,T(y / z,u * y)) = T(x,(u * z) \ (y * T(u,z))).
K((x / y) \ z,T(u,y)) = K(x \ (z * y),u).
K((x / y) \ z,u) = K(y / (z \ x),u).
K(x / (y \ z),u) = K((z / x) \ y,u).
K((x \ T(y,1 / z)) * z,u) = K(x \ ((1 / z) \ y),u).
K((x \ T(y,z \ 1)) * z,u) = K(x \ ((z \ 1) \ y),u).
K(((x * y) \ z) * u,w) = K(y \ (x \ (z / (u \ 1))),w).
K(x \ (y \ (z / (u \ 1))),w) = K(((y * x) \ z) * u,w).
K(x \ (y / (z * u)),T(w,z)) = K(z \ (T(y / x,y) / u),w).
K(x \ (T(y / z,y) / u),w) = K(z \ (y / (x * u)),T(w,x)).
(x * y) * (x \ R(x,z,u)) = (y * x) * (x \ R(T(x,y),z,u)).
(x * y) * (y \ R(T(y,x),z,u)) = (y * x) * (y \ R(y,z,u)).
(x * y) * (x \ 1) = (y * x) * (x \ K(x,y)).
(x * y) * (y \ K(y,x)) = (y * x) * (y \ 1).
(x * y) * (x \ L(x,z,u)) = (y * x) * (x \ L(T(x,y),z,u)).
(x * y) * (y \ L(T(y,x),z,u)) = (y * x) * (y \ L(y,z,u)).
x * (a(y,z,u) \ T(w,x)) = (a(y,z,u) \ w) * x.
L(T(a(x,y,z) \ u,w),a(x,y,z),w) = (w * a(x,y,z)) \ (u * w).
T(a(x,y,x) \ z,u) * w = T(z,u) * (a(x,y,x) \ w).
T(a(x,y,x) \ z,z \ x) = (z \ x) \ L(x,y,x).
L(T(a(x,y,x) \ z,x),a(x,y,x),L(x,y,x)) = x \ (z * L(x,y,x)).
(((1 / x) * y) * x) \ ((x \ 1) * y) = T((((x \ 1) * y) * x) \ ((x \ 1) * y),x).
T((((x \ 1) * y) * x) \ ((x \ 1) * y),x) = (((1 / x) * y) * x) \ ((x \ 1) * y).
(x * y) * (((x * y) \ K(y,x)) * (x * y)) = 1 / (1 / (y * x)).
K(x \ ((y * z) * u),w) = K(((x / u) \ y) * z,T(w,u)).
K(((x / y) \ z) * u,T(w,y)) = K(x \ ((z * u) * y),w).
K(x \ (y * T(z,u)),w) = K((x / T(z,u)) \ y,T(w,z)).
K((x / T(y,z)) \ u,T(w,y)) = K(x \ (u * T(y,z)),w).
(x * y) / T((y * x) * (y \ 1),(y \ K(y,x)) \ 1) = ((x * y) * (y \ K(y,x))) \ (x * y).
L(x,y,L(z,u,z) * w) = L(x,y,z * (K(u,z) * w)).
L(x,y,z * (K(u,z) * w)) = L(x,y,L(z,u,z) * w).
R(x * K(y,z),y,z) = ((x * y) * z) / (z * y).
((x * y) * z) / (z * y) = R(x * K(y,z),y,z).
L(x,y,z \ R(u * K(w,v5),w,v5)) = L(x,y,z \ ((v5 * w) \ ((u * w) * v5))).
L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ R(v5 * K(w,u),w,u)).
x * y != y * K(z,T(u,w)) | x = K(z,T(u,w * y)).
K(x,T(y,z)) = K(x,T(y,u * (z \ u))).
K(x,T(y,z * (u \ z))) = K(x,T(y,u)).
K(x,T(y,z \ 1)) = K(x,T(y,z)).
K(x,T(y,z * u)) = K(x,T(y,z \ u)).
K(x,T(y,z \ u)) = K(x,T(y,z * u)).
K(x,y \ (z / u)) = K(x,T(z / (y * u),u * z)).
K(x,T(y / (z * u),u * y)) = K(x,z \ (y / u)).
K(x,T(y,z)) * T(u,z) = T(K(x,y) * u,z).
x \ (K(y,T(z,u)) * (w * x)) = K(y,T(z,u * x)) * T(w,x).
K(x,T(y,z)) * K(u,T(w,z)) = T(K(x,y) * K(u,w),z).
K(x,y) * T(z,u) = T(K(x,T(y,u)) * z,u).
T(K(x,T(y,z)) * u,z) = K(x,y) * T(u,z).
K(x,T(y \ (z * u),u)) = K(x,(y / u) \ z).
K(x,T(y \ z,u)) = K(x,(y / u) \ (z / u)).
K(x,(y / z) \ (u / z)) = K(x,T(y \ u,z)).
K(x,y \ (z / u)) = K(x,T((y * u) \ z,u)).
K(x,T((y * z) \ u,z)) = K(x,y \ (u / z)).
K(x,y \ (z / u)) = K(x,(y \ z) / u).
K(x,(y \ z) / u) = K(x,y \ (z / u)).
K(x,y \ ((z \ u) / u)) = K(x,u / (z * (y * u))).
K(x,y / (z * (u * y))) = K(x,u \ ((z \ y) / y)).
K(x,y \ (z / (1 / u))) = K(x,(y \ z) * u).
K(x,((y * z) \ u) * w) = K(x,z \ (y \ (u / (1 / w)))).
K(x,y \ (z \ (u / (1 / w)))) = K(x,((z * y) \ u) * w).
T(x,T(y * K(y \ z,u),w)) = T(x,T(y * K(z / y,u),w)).
T(x,T(y * K(z / y,u),w)) = T(x,T(y * K(y \ z,u),w)).
K(x,K(y,z)) * K(u,x) = T(T(x,K(y,z)),u) \ x.
T(T(x,K(y,z)),u) \ x = K(x,K(y,z)) * K(u,x).
T(x,((y * z) / y) \ u) = T(x,T(u / ((y * z) / y),z)).
T(x,T(y / ((z * u) / z),u)) = T(x,((z * u) / z) \ y).
T(x,K(y,z) * (u * (w \ y))) = T(x,u * (w \ T(y,z))).
T(x,T(y,T(z,u)) / w) = T(x,T(T(y,u),z) * (w \ K(u,y))).
T(x,T(T(y,z),u) * (w \ K(z,y))) = T(x,T(y,T(u,z)) / w).
T(x,y \ T(z * u,T(w,z))) = T(x,K(z,u) * (y \ T(u * z,w))).
T(x,K(y,z) * (u \ T(z * y,w))) = T(x,u \ T(y * z,T(w,y))).
K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,x)),w).
K(K(x,y) * (z * (u / x)),w) = K(z * (u / ((y * x) / y)),w).
K(x \ (((y \ 1) \ z) / z),u) = K((z / (x * z)) * y,u).
K(x,T(y,z \ 1)) * ((u \ ((1 / z) \ u)) * (z \ 1)) = (z \ 1) * (K(x,y) * (u \ ((z \ 1) \ u))).
T(x,T(y,z * (u * w))) = T(x,T(y,z * (w * u))).
x \ (T(y,K(z,u)) * x) = T(y,K(u,z) * x).
x * T(y,K(z,u) * x) = T(y,K(u,z)) * x.
T(T(x,K(y,z)),u) = T(x,K(z,y) * u).
T(x,K(y,z) * u) = T(T(x,u),K(z,y)).
T(T(x,y),K(z,u)) = T(x,K(u,z) * y).
T(x * K(y,z),u) = T(K(y,z) * x,K(z,y) * u).
T(K(x,y) * z,K(y,x) * u) = T(z * K(x,y),u).
T(T(x * K(y,z),u),w) = T(T(K(y,z) * x,u),K(z,y) * w).
T(T(K(x,y) * z,u),K(y,x) * w) = T(T(z * K(x,y),u),w).
T(T(x,K(y,z)),u) = T(x,K(y,z) * u).
T(T(x,K(y,z * x)),u) = T(x,K(z,y) * u).
T(T(x,K(y,z * u)),w) = T(x,K(u / z,y) * w).
T(T(x,K(y,T(z,u))),w) = T(x,K(y,z) * w).
T(T(x * K(y,x),z),T(y,u)) = T(x,K(u,y) * z).
T(x,K(y,z) * u) = T(T(x,u),K(y,z)).
T(T(x,y),K(z,u)) = T(x,K(z,u) * y).
T(T(x,K(y,z) * u),y) = T(T(x,u),T(y,z)).
T(T(x,y),K(z,u)) = T(x,y * K(u,z)).
K(x,y) * T(z,K(x,y) * u) = T(z,u) * K(x,y).
K(x,K(y,z) * u) = x \ T(T(x,K(y,z)),u).
x \ T(T(x,K(y,z)),u) = K(x,K(y,z) * u).
T(T(x,K(y,y * z)),u) = T(x,K(y,z) * u).
T(x,y) = T(x,K(z * z,u) * y).
T(x,K(y * y,z) * u) = T(x,u).
T(x,y) = T(x,K(z,K(u,w)) * y).
T(x,K(y,K(z,u)) * w) = T(x,w).
T(T(x,K(y,z)),u) = T(x,u * K(y,z)).
T(x,K(y,z) * u) = T(x,K(z,y) * u).
T(x,(y / (z * z)) * u) = T(x,((z * z) \ y) * u).
K(K(x,K(y,z)) * u,w) = T(w,u) \ w.
T(x,T(y,K(z,u)) * w) = T(x,y * w).
T(x,T(y,K(z,u)) / w) = T(x,y / w).
T(x,y * K(z,K(u,w))) = T(x,y).
T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w).
T(x,y * z) = T(x,y * T(z,K(u,w))).
T(x,y * T(z,K(u,w))) = T(x,y * z).
T(x,y \ z) = T(x,y \ T(z,K(u,w))).
T(x,y \ T(z,K(u,w))) = T(x,y \ z).
T(x,y / z) = T(x,y * (z \ K(u,K(w,v5)))).
T(x,y * (z \ K(u,K(w,v5)))) = T(x,y / z).
T(x,K(y,z \ 1) * u) = T(T(x,u),K(y,z)).
T(x,y * K(z,u)) = T(x,K(u,z) * y).
T(x,K(y,z) * u) = T(x,u * K(z,y)).
T(T(x,K(y,z)),u \ 1) = T(x,u \ K(y,z)).
T(x,y) = T(x,K(z,u) * (K(z,u) * y)).
T(x,K(y,z) * (K(y,z) * u)) = T(x,u).
T(x,T(y,z) / u) = T(x,K(z,y) * (y / u)).
T(x,K(y,z) * (z / u)) = T(x,T(z,y) / u).
T(x,T(y,z) \ u) = T(x,K(y,z) * (y \ u)).
T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u).
T(x,K(y,z) * (u / y)) = T(x,u / T(y,z)).
T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)).
T(x,K(y,z) * (u \ z)) = T(x,u \ T(z,y)).
K(x,y) = K(K(z,K(u,w)) * x,y).
K(K(x,K(y,z)) * u,w) = K(u,w).
K(T(x,K(y,z)) * u,w) = K(x * u,w).
K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w).
K(x * y,z) = K(x * T(y,K(u,w)),z).
K(x * T(y,K(z,u)),w) = K(x * y,w).
T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w).
T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w).
T(x,T(y,K(z,u) * w) / v5) = T(x,T(y,w) / v5).
T(x,y * (z * (u * K(z,w)))) = T(x,y * (T(z,w) * u)).
T(x,y \ T(z,T(u,w))) = T(x,y \ T(z,u)).
T(x,y \ T(z,u / w)) = T(x,y \ T(z,w \ u)).
T(x,T(y,z) \ u) = T(x,(y \ u) * K(y,z)).
T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z).
T(x,(y / z) * K(z,u)) = T(x,y / T(z,u)).
T(x,(y \ z) * K(u,z)) = T(x,y \ T(z,u)).
T(x,T(T(y,z),z) \ (y * u)) = T(x,u).
K(T(x,y * K(z,u)) * w,v5) = K(T(x,y) * w,v5).
K(x * (K(y,z) * (u / z)),w) = K(x * (u / T(z,y)),w).
T(x,T(T(y,z),z) \ u) = T(x,y \ u).
T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u).
T(x,T(T(y \ z,u),y) \ w) = T(x,T(z / y,u) \ w).
T(x,y \ ((z \ 1) * u)) = T(x,z \ ((u \ T(y,z)) \ 1)).
T(x,y \ ((z \ T(u,y)) \ 1)) = T(x,u \ ((y \ 1) * z)).
(x \ y) * T(z,T(x,u) \ y) = T(z,K(x,u)) * (x \ y).
T(x,K(y,z) * u) = T(x,K(z,y * x) * u).
T(x,K(y,z * x) * u) = T(x,K(z,y) * u).
T(T(x,K(y \ 1,z)),u) = T(x,K(w \ (y \ w),z) * u).
T(x,K(y \ (z \ y),u) * w) = T(T(x,K(z \ 1,u)),w).
T(T(x,y),T(z,u)) = T(T(x,z),K(z,u) * y).
T(T(x,y),K(y,z) * u) = T(T(x,u),T(y,z)).
K(x,K(y,z) * u) = K(x,u) * K(x,K(y,z)).
K(x,y) * K(x,K(z,u)) = K(x,K(z,u) * y).
T(T(x,K(y,z * y)),u) = T(x,K(y,z) * u).
T(x,K(y,z) * u) = T(x,K(y,y * z) * u).
T(x,K(y,y * z) * u) = T(x,K(y,z) * u).
T(x,y * (K(z,u) * w)) = T(x,K(z,u) * (y * w)).
T(x,K(y,z) * (u * w)) = T(x,u * (K(y,z) * w)).
T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)).
T(x,T(K(y,z) * u,w)) = T(x,K(y,z) * T(u,w)).
T(x,K(y,z) * (u / w)) = T(x,u * (w \ K(y,T(z,v5)))).
T(x,y * (z \ K(u,T(w,v5)))) = T(x,K(u,w) * (y / z)).
T(x,y * (z \ K(u,w))) = T(x,y / (z * K(w,u))).
T(x,y / (z * K(u,w))) = T(x,y * (z \ K(w,u))).
T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u).
T(T(x,K(y,z)),u \ 1) = T(x,u \ K(z,y)).
T(x * K(y,z),u \ 1) = T(K(y,z) * x,u \ K(z,y)).
T(K(x,y) * z,u \ K(y,x)) = T(z * K(x,y),u \ 1).
T(x,y / (z * (y / u))) = T(x,T(u,u \ y) / z).
T(x,T(y,y \ z) / u) = T(x,z / (u * (z / y))).
T(x,T(y,z) / u) = T(x,y * (u \ K(z,y))).
T(x,y * (z \ K(u,y))) = T(x,T(y,u) / z).
T(x,((y * z) / y) \ u) = T(x,T(z,y) \ u).
T(x,y \ L(T(y,z),u,w)) = T(x,T(y,z) \ L(y,u,w)).
T(x,T(y,z) \ L(y,u,w)) = T(x,y \ L(T(y,z),u,w)).
T(x,K(y,T(z,u)) * (w / T(y,u))) = T(x,w / T(T(y,u),z)).
T(x,y * T(z,u)) = T(x,y * (z * K(u,z))).
T(x,y * (z * K(u,z))) = T(x,y * T(z,u)).
T(x,y \ T(T(z,u),w)) = T(x,K(w,z) * (y \ T(z,u))).
T(x,K(y,z) * (u \ T(z,w))) = T(x,u \ T(T(z,w),y)).
K(x * K(y,T(z,u)),w) = K(K(y,z) * x,w).
K(x * (K(y,z) * u),w) = K(K(y,z) * (x * u),w).
K(K(x,y) * (z * u),w) = K(z * (K(x,y) * u),w).
K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w).
T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y).
T(x,T(y,z * u) / w) = T(x,T(y,u * z) / w).
T(x,T(y,z) / T(z,u)) = T(x,T(z,u) \ y).
T(x,y / (z * K(u,z))) = T(x,y / T(z,u)).
T(x,y \ ((z * u) / z)) = T(x,y \ T(u,z)).
T(x,y \ (z / u)) = T(x,y \ T(u \ z,u)).
T(x,y \ T(z \ u,z)) = T(x,y \ (u / z)).
T(x,K(y,z) * (u * z)) = T(x,u * T(z,y * x)).
T(T(x,K(y,z)),K(T(y,z),u) * w) = T(T(x * K(y,x),w),T(T(y,z),u)).
T(T(x * K(y,x),z),T(T(y,u),w)) = T(T(x,K(y,u)),K(T(y,u),w) * z).
K(x,y) * K(x,K(z,u)) = K(x,K(u,z) * y).
T(x,K(y,K(z,u) * w)) = T(x,K(y,w)).
T(x,K(y,z / u)) = T(x,K(y,u \ z)).
T(x,K(y,z * K(u,w))) = T(x,K(y,z)).
T(x,K(y,z \ u)) = T(x,K(y,z * u)).
T(T(x,K(y,z)),u) = T(x,K(z * K(w,v5),y) * u).
T(x,K(y * K(z,u),w) * v5) = T(T(x,K(w,y)),v5).
T(x,K(y,z \ (u * w))) = T(x,K(y,(u \ z) * w)).
T(x,K(y,L(z,u,w) * z)) = x.
T(T(x,K(y,z * u)),w) = T(x,K(z \ u,y) * w).
T(T(x,y),K(z,u * w)) = T(x,K(z,u \ w) * y).
T(x,K(y,z * L(z,u,w))) = x.
T(x,K(y,z) * u) = T(x,K(z * y,y) * u).
T(x,K(y * z,z) * u) = T(x,K(z,y) * u).
T(x,K(y,z) * u) = T(x,K(y,z * y) * u).
T(x,K(y,z * y) * u) = T(x,K(y,z) * u).
T(x,K(y,y * z) * u) = T(x,K(z,y) * u).
T(x,K(y,z) * u) = T(x,u * K(y,z \ 1)).
T(x,y * K(z,u \ 1)) = T(x,K(z,u) * y).
T(x,y \ K(z,u)) = T(x,y \ K(u,z)).
T(x,y \ K(y,z)) = T(x,z \ (y \ z)).
T(x,y \ K(z,z * u)) = T(x,y \ K(u,z)).
T(x,y \ (z \ y)) = T(x,y / (y * z)).
T(x,y / (y * z)) = T(x,y \ (z \ y)).
K(x,T(y,z \ (u \ z))) * (z / (z * u)) = (z / (z * u)) * K(x,y).
T(x,T(T(y,z),u) * (w \ K(v5,T(T(y,z),u)))) = T(x,T(T(T(y,v5),z),u) / w).
T(x,T(y * z,z) \ u) = T(x,y \ (L(z,y,z) \ u)).
T(x,y \ (L(z,y,z) \ u)) = T(x,T(y * z,z) \ u).
T(x,y * (z / (z / u))) = T(x,y * T(u,u \ z)).
T(x,y * T(z,z \ u)) = T(x,y * (u / (u / z))).
T(x,y * (z / u)) = T(x,y * T(u \ z,u)).
T(x,y * T(z \ u,z)) = T(x,y * (u / z)).
K(x * K(y,z \ 1),u) = K(K(y,w \ (z \ w)) * x,u).
K(K(x,y \ (z \ y)) * u,w) = K(u * K(x,z \ 1),w).
T(x,y / T(z * K(u,z),w)) = T(x,y / T(T(z,w),u)).
T(x,y \ T((z * u) / z,w)) = T(x,y \ T(T(u,w),z)).
T(x,y \ T(z \ u,u)) = T(x,y \ (u / z)).
T(x,y \ (z \ T(u * z,w))) = T(x,y \ (T(z * u,w) / z)).
T(x,y \ (T(z * u,w) / z)) = T(x,y \ (z \ T(u * z,w))).
K(x,K(y,z) * (z \ 1)) = K(x,T(z \ 1,y)).
K(x,K(y,z) * u) = K(x,K(z,y) * u).
K(x,T(y,z) * u) = K(x,K(z,y) * (y * u)).
K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u).
T(x,K(y * z,z) * u) = T(x,K(y,z) * u).
T(x,K(y,z) * u) = T(x,u * K(z,z * y)).
T(x,y * K(z,z * u)) = T(x,K(u,z) * y).
T(x,K(y,z) * u) = T(x,K(z * y,z) * u).
T(x,K(y * z,y) * u) = T(x,K(z,y) * u).
T(x,K(y,z) * (u \ 1)) = T(x,u \ K(y,z \ 1)).
T(x,y \ K(z,u \ 1)) = T(x,K(z,u) * (y \ 1)).
T(x,y * K(z,u \ w)) = T(x,K(z,w \ u) * y).
T(x,K(y,z \ u) * w) = T(x,w * K(y,u \ z)).
T(x,y \ K(z,z * u)) = T(x,y \ K(z,u)).
T(x,y \ T(z,u)) = T(x,y \ (u / (u / z))).
T(x,y \ (z / (z / u))) = T(x,y \ T(u,z)).
K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)).
T(x,y * ((T(z,u) \ 1) \ K(w,T(z \ 1,u)))) = T(x,y / T(z \ K(u,z),w)).
K(x,((y * z) / y) * u) = K(x,T(z,y) * u).
T(x,K(y,z) * (u * (y * z))) = T(x,u * T(y * z,z)).
T(x,K(y,z) * u) = T(x,K(z \ y,z) * u).
T(x,K(y \ z,y) * u) = T(x,K(z,y) * u).
T(T(x / (y \ 1),x),y \ K(x,y)) = (y \ K(x,y * x)) \ x.
T(x,y \ T(z,y * u)) = T(x,u / ((y * u) / z)).
T(x,(y / z) \ T(u,y)) = T(x,z / (y / u)).
T(x,(y \ z) \ T(u,w)) = T(x,z \ (y * (w / (w / u)))).
T(x,y \ (z * (u / (u / w)))) = T(x,(z \ y) \ T(w,u)).
K(x,L(y / z,u,w) * v5) = K(x,T(L(z \ y,u,w),z) * v5).
K(x,T(L(y \ z,u,w),y) * v5) = K(x,L(z / y,u,w) * v5).
T(x,K(y,z) * (u * w)) = T(x,u * (w * K(z \ y,z))).
T(x,y * (z * K(u \ w,u))) = T(x,K(w,u) * (y * z)).
T(x,(((y * z) * u) / w) \ T(z * u,(y * z) * u)) = T(x,w / R(y,z,u)).
a(x,y,K(z,u) * w) = (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w).
(x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y,K(z,u) * w).
R(x,y,K(z,u) * w) = ((x * (y * K(z,u))) * w) / (y * (K(z,u) * w)).
((x * (y * K(z,u))) * w) / (y * (K(z,u) * w)) = R(x,y,K(z,u) * w).
((1 / (1 / x)) * y) * z = (x * y) * (K(x \ 1,x) * z).
(x * y) * (K(x \ 1,x) * z) = ((1 / (1 / x)) * y) * z.
(x * (y \ 1)) * z = (x * (y \ K(u,w))) * (K(w,u) * z).
(x * (y \ K(z,u))) * (K(u,z) * w) = (x * (y \ 1)) * w.
T(x * K(y,z),T(x,u)) = K(y,z) * x.
K(x,y) * L(z,u,w) = T(L(z,u,w) * K(x,y),T(z,v5)).
T(L(x,y,z) * K(u,w),T(x,v5)) = K(u,w) * L(x,y,z).
T(x * (y / T(z,u)),x * (y / z)) = K(u,z) * (x * (y / z)).
K(x,y) * a(z,z \ 1,y) = L(T(y,x),z \ 1,z) \ y.
L(T(x,y),z \ 1,z) \ x = K(y,x) * a(z,z \ 1,x).
T(L(x,y,z) \ u,x) = L(T(x,L(x,y,z) \ u),y,z) \ u.
L(T(x,L(x,y,z) \ u),y,z) \ u = T(L(x,y,z) \ u,x).
T(x,y) * (L(T(x,y),z,u) \ w) = x * (L(x,z,u) \ w).
L(T(x,y),z,u) \ x = x / L(T(x,y),z,u).
x / L(T(x,y),z,u) = L(T(x,y),z,u) \ x.
L(T(x \ y,x),z,u) \ (x \ y) = (y / x) / L(x \ y,z,u).
L(T(x,y \ 1),x \ (y \ x),y) \ x = y * (x \ (y \ x)).
(T(x,y) \ z) \ u = K(x,T(y,z)) * ((x \ z) \ u).
K(x,T(y,z)) * ((x \ z) \ u) = (T(x,y) \ z) \ u.
T(x / (y * z),K(y,z)) \ u = (x / (z * y)) \ (K(y,z) * u).
(x / ((y \ z) * y)) * (K(y \ z,y) * u) = (x / z) * u.
(1 / x) * K(x \ y,z) = K(y / x,z) / x.
((x \ 1) / y) * K(y \ z,u) = (x \ K(z / y,u)) / y.
(1 / (x * ((y * x) \ y))) * K(1 / ((y * x) \ y),z) = K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)).
K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)) = (1 / (x * ((y * x) \ y))) * K(1 / ((y * x) \ y),z).
((x / y) * K(1 / y,z)) * (1 / y) = (x * T(y \ 1,z)) / y.
K(x,y) * (T(y,z) \ u) = K(z,y) * (T(y,x) \ u).
(x \ T(y * x,z)) / T(y,x) = K(x * y,z).
K(x * y,z) * T(y,x) = x \ T(y * x,z).
L(x,y,(z * ((u \ w) \ w)) * v5) = L(x,y,(z * u) * v5).
L(x,y,L(T(z,u),1 / w,(1 / w) \ 1)) = L(x,y,T(((1 / w) * z) * w,u)).
T(x,y) * ((x * y) \ z) = x * ((y * x) \ z).
(x * ((y * x) \ z)) \ K(x,y) = (x * ((x * y) \ z)) \ 1.
x * (y * L(y \ (x \ z),x,y)) = y * (x * ((y * x) \ z)).
a((x * ((y * x) \ z)) * u,w,v5) = a((x * ((x * y) \ z)) * u,w,v5).
a(x * (y * ((z * y) \ u)),w,v5) = a(x * (y * ((y * z) \ u)),w,v5).
L(x,y,z * (u * ((w * u) \ v5))) = L(x,y,z * (u * ((u * w) \ v5))).
a(x,y,(y * x) \ z) \ z = x * (y * ((x * y) \ z)).
L(x,y,(z * ((u * z) \ w)) \ v5) = L(x,y,(z * ((z * u) \ w)) \ v5).
a((x * ((y * x) \ z)) \ u,w,v5) = a((x * ((x * y) \ z)) \ u,w,v5).
L(x,y,(z * (u \ w)) \ v5) = L(x,y,(z * (w / u)) \ v5).
L(x,y,(z * (u / w)) \ v5) = L(x,y,(z * (w \ u)) \ v5).
L(x,y,(z * ((u \ w) \ w)) \ v5) = L(x,y,(z * u) \ v5).
((x \ 1) \ K(y,x)) \ 1 = ((x \ 1) \ 1) \ K(x,y).
T(x,x \ y) * (y \ x) = x * (y \ T(x,x \ y)).
K(x,y) * z != (u \ 1) \ w | z = (u \ K(x,y)) \ w.
(x \ 1) \ K(y,T(z,x)) = (x \ K(z,y)) \ 1.
(T(x,y) \ 1) \ K(z,T(T(x \ 1,x),u)) = (T(x,y) \ K(T(x \ 1,u),z)) \ 1.
(x \ 1) \ K(y / x,z) = (x \ K(z,x \ y)) \ 1.
(x \ K(y,x \ z)) \ 1 = (x \ 1) \ K(z / x,y).
(x \ y) * (a(z,u,w) \ x) = (a(z,u,w) \ (y / (y / x))) * (x \ y).
(a(x,y,z) \ (u / (u / w))) * (w \ u) = (w \ u) * (a(x,y,z) \ w).
(x \ y) \ L(y,z,y) = (x \ R(y,z,y)) \ y.
(x \ R(y,z,y)) \ y = (x \ y) \ L(y,z,y).
K(x,T(R(y,z,u) / (w * v5),v5 * y)) = K(x,w \ (R(y,z,u) / v5)).
K(x,y \ (((1 / z) \ u) / u)) = K(x,(u / (y * u)) * z).
T(x,K(y,z) * u) \ x = K(x,K(z,y)) * K(u,x).
T(x,T(y,(z * u) * w)) = T(x,T(y,z * (w * u))).
T(x,T(y,z * (z * u))) = T(x,T(y,u)).
T(x,T(y * T((z / u) / z,u),u)) = T(x,T((z / u) / z,T(u,z)) * y).
T(x * K(y,z),u \ z) = T(K(y,z) * x,u \ T(z,y)).
T(K(x,y) * z,u \ T(y,x)) = T(z * K(x,y),u \ y).
T(x,K(y / z,u) * w) = T(x,K(z * y,u) * w).
K(x,y) * T(z,x * R(y,u,w)) = T(z,R(y,u,w) * x) * K(x,y).
T(x,R(y,z,u) * w) * K(w,y) = K(w,y) * T(x,w * R(y,z,u)).
T(x,((y * y) \ z) * y) = T(x,z / y).
T(x,L(y,z,z) * z) = T(x,(z * (z * y)) / z).
T(x,(y * (y * z)) / y) = T(x,L(z,y,y) * y).
T(x,L(y,z,z) * z) = T(x,T(z * y,z)).
T(x,L(y,z,z) * z) = T(x,y * z).
R(T(1 / x,y * x),x,L(y,x,x)) = (x * L(y,x,x)) \ L(y,x,x).
T(x,T(y,T(z,u) * w) / v5) = T(x,T(y,z * w) / v5).
T(x,K(y,z) * (u * (y * w))) = T(x,u * (T(y,z) * w)).
T(x,y * (K(z,u) * w)) = T(x,K(u,z) * (y * w)).
T(x,K(y,z) * (u * w)) = T(x,u * (K(z,y) * w)).
T(x,y * (K(z,u \ 1) * w)) = T(x,K(z,u) * (y * w)).
T(x,y \ (T(z,u) * w)) = T(x,K(z,u) * (y \ (z * w))).
T(x,K(y,z) * (u \ (y * w))) = T(x,u \ (T(y,z) * w)).
T(x,y \ (T(z,u) \ w)) = T(x,K(u,z) * (y \ (z \ w))).
T(x,K(y,z) * (u \ (z \ w))) = T(x,u \ (T(z,y) \ w)).
T(x,y \ (((z * u) / z) * w)) = T(x,K(z,u) * (y \ (u * w))).
T(x,K(y,z) * (u \ w)) = T(x,(u \ K(y,z)) * w).
T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)).
T(x,y \ (z \ T(u * z,w))) = T(x,K(z * u,w) * (y \ T(u,z))).
T(x,K(y * z,u) * (w \ T(z,y))) = T(x,w \ (y \ T(z * y,u))).
T(x,y / (z / T(u,w))) = T(x,y * ((z / u) \ K(u,w))).
T(x,y * ((z / u) \ K(u,w))) = T(x,y / (z / T(u,w))).
T(x,y * (z \ K(u,w))) = T(x,y * (K(u,w) / z)).
T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))).
T(x,y / (z * (y / u))) = T(x,T(u,y) / z).
T(x,T(y,z) / (z / u)) = T(x,T((z / y) \ u,z)).
K(K(x,y) * (z \ u),w) = K((z \ K(x,y)) * u,w).
K((x \ K(y,z)) * u,w) = K(K(y,z) * (x \ u),w).
T(x,y * T(z,u * x)) = T(x,y * T(z,u)).
T(x,y * T(z,u)) = T(x,y * T(z,x * u)).
T(x,y * T(z,x * u)) = T(x,y * T(z,u)).
R(T(x,y * T(z,y)),y,T(z,x * y)) = (y * T(z,x * y)) \ (z * (x * y)).
T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5).
T(x,K(y,(z \ u) * w)) = T(x,K(y,u * (z * w))).
T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w).
T(x,K(y,z \ u) * w) = T(x,K(y,z * u) * w).
T(x,y * (z / (z / u))) = T(x,y * T(u,z)).
T(x,K(y / z,u) * T(z,y)) = T(x,y / T(y / z,u)).
T(x,y \ K(z,u \ 1)) = T(x,K(z,u) / y).
T(x,y \ K(z,u \ 1)) = T(x,y \ K(z,u)).
K(x,K(y,z)) * (T(y,z) \ u) = T(y,T(z,x)) \ u.
T(x * y,(x * y) \ (L(x,z,u) * y)) * L(L(x,z,u) \ x,L(x,z,u),y) = (x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))).
K(K(x,y) * z,u) = K(u,K(y,x)) * K(z,u).
K(x,K(y,z)) * K(u,x) = K(K(z,y) * u,x).
K(K(x,y) * z,u) = K(z,u) * K(u,K(y,x)).
K(x,y) * K(y,K(z,u)) = K(K(u,z) * x,y).
K(x,K(y,z)) * K(u,x) = K(K(y,z) * u,x).
K(x,K(y,z)) * K(u * z,x) = K(u * T(z,y),x).
K(x,y) * K(z,K(u,y)) = K(K(z,u) * x,y).
K(x,K(y,z * u)) * K(w,x) = K(K(y,u / z) * w,x).
K(x,K(y,z)) * K(u,x) = K(K(y,w \ (z \ w)) * u,x).
K(K(x,y \ (z \ y)) * u,w) = K(w,K(x,z)) * K(u,w).
K(K(x,y) * z,u) = K(K(y,x) * z,u).
K(x,y) = K(K(z,u) * (K(z,u) * x),y).
K(K(x,y) * (K(x,y) * z),u) = K(z,u).
K(T(x,y) \ z,u) = K(K(x,y) * (x \ z),u).
K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u).
K((x * y) * z,u) = K(K(y,x) * ((y * x) * z),u).
K(K(x,y) * ((x * y) * z),u) = K((y * x) * z,u).
K(K(x,y) * (z * y),u) = K(z * T(y,x),u).
K(T(T(x,y),y) \ (x * z),u) = K(z,u).
K(T(T(x,y),y) \ z,u) = K(x \ z,u).
K(x,y) * K(K(x,y) * (x * y),z) = (y \ T(x * y,z)) / x.
K(((x * y) / x) \ z,u) = K(T(y,x) \ z,u).
K(x * T(y,z),u) = K(x * (y * K(z,y)),u).
K(x * (y * K(z,y)),u) = K(x * T(y,z),u).
K(x * (y / z),u) = K(x * T(z \ y,z),u).
K(x * T(y \ z,y),u) = K(x * (z / y),u).
T(x,T(y \ z,u * (y * w))) = T(x,T(z / y,u * w)).
T(x,K(y * z,u) * w) = T(x,w * K(u,z / y)).
T(x,T(y,z) * u) = T(x,y * (K(z,y) * u)).
T(x,y * (K(z,y) * u)) = T(x,T(y,z) * u).
T(x,K(y,z) * ((u / y) * w)) = T(x,(u / T(y,z)) * w).
T(x,(y \ (y / z)) * (K(u,z \ 1) * w)) = T(x,T(y \ (y / z),u) * w).
T(x,T(y \ 1,z) * u) = T(x,K(1 / y,z) * (y \ u)).
T(x,K(1 / y,z) * (y \ u)) = T(x,T(y \ 1,z) * u).
T(x,y * T(1 / z,u)) = T(x,y * (z \ K(z \ 1,u))).
T(x,y * (z \ K(z \ 1,u))) = T(x,y * T(1 / z,u)).
T(x,y \ (z * (y / (y / u)))) = T(x,T((y / z) \ u,y)).
K(T(x \ 1,y) * z,u) = K(K(x \ 1,y) * (x \ z),u).
K(K(x \ 1,y) * (x \ z),u) = K(T(x \ 1,y) * z,u).
T(x,K(y,z) * (u * (y * K(w,v5)))) = T(x,u * T(y * K(w,v5),z)).
T((x / y) * L(y,z,u),K(w,x * (y * L(y,z,u)))) = L(y,z,u) * (y \ x).
T(x,K(y,z * u) * w) = T(x,w * K(y,z \ u)).
T(x,T(y,T(z,u)) \ w) = T(x,T(y,z) \ w).
K(T(x,T(y,z)) \ u,w) = K(T(x,y) \ u,w).
T(x,T(y,z \ u) \ w) = T(x,T(y,u / z) \ w).
T(x,T(y,z / u) \ w) = T(x,T(y,u \ z) \ w).
K(T(x,y \ z) \ u,w) = K(T(x,z / y) \ u,w).
K(T(x,y / z) \ u,w) = K(T(x,z \ y) \ u,w).
K(x * T(y,z),x) = K(x * y,T(x,z)).
K(x * (y \ z),T(x,y)) = K(x * (z / y),x).
K(x * ((x / y) \ z),T(x,y \ x)) = K(x * (z / (x / y)),x).
K((T(x,y) * y) * z,u) = K((y * x) * z,u).
K((x * ((x * y) / x)) * z,u) = K((y * x) * z,u).
T(x,K(y,z) * u) = T(x,u * K(z,a(w,v5,v6) / y)).
T(x,y * K(z,a(u,w,v5) / v6)) = T(x,K(v6,z) * y).
T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w).
L(x,y,L(z,u,z) * w) = L(x,y,w * z).
L(x,y,L(1 / z,u,1 / z) * T(w,v5)) = L(x,y,w * (K(w,v5) / z)).
L(x,y,z * u) = L(x,y,z * L(u,w,u)).
L(x,y,z * L(u,w,u)) = L(x,y,z * u).
L(x,y,a(z,u,z) \ w) = L(x,y,(z \ w) * z).
L(x,y,a(z,u,z) \ w) = L(x,y,w).
L(x,y,z) = L(x,y,a(u,w,u) * z).
L(x,y,a(z,u,z) * w) = L(x,y,w).
L(x,y,z \ u) = L(x,y,L(z,w,z) \ u).
L(x,y,L(z,u,z) \ w) = L(x,y,z \ w).
L(x,y,R(z,u,z) \ w) = L(x,y,z \ w).
L(x,y,z * (a(u,w,u) \ v5)) = L(x,y,z * v5).
L(x,y,z \ (R(u,w,u) \ v5)) = L(x,y,z \ (u \ v5)).
L(x,y,R(z \ u,w,v5)) = L(x,y,R(L(z,v6,z) \ u,w,v5)).
L(x,y,R(L(z,u,z) \ w,v5,v6)) = L(x,y,R(z \ w,v5,v6)).
L(x,y,z \ (u * L(w,v5,w))) = L(x,y,z \ (u * w)).
L(x,y,(z * L(u,w,u)) \ v5) = L(x,y,(z * u) \ v5).
L(x,y,R(z \ u,w,z)) = L(x,y,z \ R(u,w,z)).
L(x,y,z * R(u,w,u \ 1)) = L(x,y,z * u).
L(x,y,z * L(L(u,w,u),v5,v6)) = L(x,y,z * L(u,v5,v6)).
L(x,y,z * R(u \ 1,w,u)) = L(x,y,z * (u \ 1)).
L(x,y,R(z \ (1 / z),u,z)) = L(x,y,z \ (z \ 1)).
L(x,y,L(z \ u,w,z)) = L(x,y,z \ R(u,w,z)).
T(x,T(y * z,z) \ u) = T(x,y \ (z \ u)).
T(x,T(y,z) \ u) = T(x,(y / z) \ (z \ u)).
T(x,(y / z) \ (z \ u)) = T(x,T(y,z) \ u).
T(x,T(y * (1 / z),z \ 1) \ u) = T(x,y \ ((1 / z) \ u)).
T(x,(y / z) \ u) = T(x,T(y,z) \ (z * u)).
T(x,T(y,z) \ (z * u)) = T(x,(y / z) \ u).
T(x,(T(y,z) / z) \ u) = T(x,y \ (z * u)).
T(x,(y / T(z,y)) \ u) = T(x,y \ (z * u)).
T(x,(T(y,z) / z) \ (u * (z \ 1))) = T(x,y \ T(z * (u * (z \ 1)),u)).
T(x,(y / z) \ (u * y)) = T(x,w \ ((w * T(u,y / z)) * z)).
T(x,K(y,z) * (z \ u)) = T(x,T(z,a(w,v5,v6) / y) \ u).
T(x,T(y,a(z,u,w) / v5) \ v6) = T(x,K(v5,y) * (y \ v6)).
L(x,y,(z * u) \ w) = L(x,y,(L(u,v5,u) * z) \ w).
L(x,y,(L(z,u,z) * w) \ v5) = L(x,y,(w * z) \ v5).
L(x,y,R(z * (u \ 1),w,u)) = L(x,y,R(z,w,u) * (u \ 1)).
L(x,y,T(1 / (z * z),z)) = L(x,y,z \ (z \ 1)).
L(x,y,z \ (z \ 1)) = L(x,y,1 / (z * z)).
L(x,y,1 / (z * z)) = L(x,y,z \ (z \ 1)).
L(x,y,z \ (z \ 1)) = L(x,y,(z * z) \ 1).
L(x,y,(z * z) \ 1) = L(x,y,z \ (z \ 1)).
x / L(a(y,z,y) \ u,y,(u * y) \ x) = (x / (y * (a(y,z,y) \ u))) * y.
(x / y) * ((y \ x) \ (L(y \ x,z,u) * w)) = L(y \ x,z,u) * (K(y,y \ x) * w).
R(K(x,y) * K(z,u),w,v5) = K(z,u) * K(x,y).
R(T(x,y),z,u) * w = R(x,z,u) * (K(x,y) * w).
R(x,y,z) * (K(x,u) * w) = R(T(x,u),y,z) * w.
(R(x,y,z) * (K(y,x) * y)) \ ((y * x) * z) = L(z,y,L(x,y,z)).
R(x,y,z) * (x \ u) = R(T(x,w),y,z) * (T(x,w) \ u).
R(T(x,y),z,u) * (T(x,y) \ w) = R(x,z,u) * (x \ w).
(x \ (y \ z)) * u = (x \ (z / y)) * (K(y \ z,y) * u).
(x \ (y / z)) * (K(z \ y,z) * u) = (x \ (z \ y)) * u.
(x \ (y \ z)) * y = (x \ (z / y)) * (z / (z / y)).
(x \ (y / z)) * (y / (y / z)) = (x \ (z \ y)) * z.
a((x \ (y / z)) * u,w,v5) = a((x \ (z \ y)) * u,w,v5).
a(x * ((y \ (z / u)) * w),v5,v6) = a(x * ((y \ (u \ z)) * w),v5,v6).
L(x / y,z,u) * w = L(y \ x,z,u) * (K(y,y \ x) * w).
L(x \ y,z,u) * (K(x,x \ y) * w) = L(y / x,z,u) * w.
(x \ y) * ((z * (x \ y)) \ u) = (y / x) * ((z * (y / x)) \ u).
(x / y) * ((z * (x / y)) \ u) = (y \ x) * ((z * (y \ x)) \ u).
K(x,x \ 1) * y != z \ T(x,x \ 1) | y = z \ x.
(x / (y \ 1)) \ T(y,y \ 1) = (x / (1 / y)) \ y.
(x / (y \ 1)) \ ((y \ 1) \ 1) = (x / (1 / y)) \ y.
L(x * K(y,y \ 1),z,u) \ w = (L(x,z,u) \ w) * K(y \ 1,y).
L(x * (y / x),z,u) \ w = K(x \ y,x) * (L(y,z,u) \ w).
K(x \ y,x) * (L(y,z,u) \ w) = L(x * (y / x),z,u) \ w.
L(x / y,z,u) \ w = K(y \ x,y) * (L(y \ x,z,u) \ w).
K(x \ y,x) * (L(x \ y,z,u) \ w) = L(y / x,z,u) \ w.
R(x,y,x) / (R(x,y,x) * z) = (x / (z * x)) * K(z,R(x,u,w)).
x / (x * T(y,y \ 1)) = T(x / (x * y),y).
L(x,y,(z \ (K(u,w) * v5)) * v6) = L(x,y,(z \ v5) * v6).
a((x \ (K(y,z) * u)) * w,v5,v6) = a((x \ u) * w,v5,v6).
a(x,y,z) \ (T(u,w) \ v5) = K(w,u) * (a(x,y,z) \ (u \ v5)).
K(x,y) * (a(z,u,w) \ (y \ v5)) = a(z,u,w) \ (T(y,x) \ v5).
T(x,y / T(z \ 1,u)) = T(x,K(u,z) * (y * z)).
T(x,y / T(z \ 1,u)) = T(x,y * T(z,u)).
T(x,y / T(z,u)) = T(x,y * T(1 / z,u)).
T(x,y * T(1 / z,u)) = T(x,y / T(z,u)).
T(x,y / T(z \ K(u,z),w)) = T(x,y * T(T(z,u),w)).
T(x,y / T(z \ 1,u / w)) = T(x,y * T(z,u / T(w,z \ 1))).
T(x,y * T(z,u / T(w,z \ 1))) = T(x,y / T(z \ 1,u / w)).
T(R(x,y,z) * (x \ u),K(u,w)) = (u / x) * R(x,y,z).
T(x * K(y / z,u),y) = (y \ (x * y)) * K(z \ y,u).
(x \ (y * x)) * K(z \ x,u) = T(y * K(x / z,u),x).
T(x * K(y,z * u),z) = (z \ (x * z)) * K(y,u * z).
(x \ (y * x)) * K(z,u * x) = T(y * K(z,x * u),x).
(x / T(y,z)) * K(u,K(y,z)) = x / T(y,T(z,u)).
T(x,y / T(z,T(u,w))) = T(x,y / T(z,u)).
T(x,y / T(z,u \ w)) = T(x,y / T(z,w / u)).
T(x,y / T(z,u / w)) = T(x,y / T(z,w \ u)).
L(T(x,y),z,u) * (T(x,y) \ w) = (w / x) * L(x,z,u).
((x * y) / (1 / y)) / y = x / (K(y,y \ 1) / y).
(x / (1 / y)) / y = (x / y) / (K(y,y \ 1) / y).
(x / y) / (K(y,y \ 1) / y) = (x / (1 / y)) / y.
L(x,y,z * (u / (K(w,w \ 1) / w))) = L(x,y,z * (w \ ((u * w) / (1 / w)))).
a(x \ (y / (K(z,z \ 1) / z)),u,w) = a(x \ (z \ ((y * z) / (1 / z))),u,w).
a(((x / (1 / y)) / y) * z,u,w) = a(((K(y,y \ 1) / y) \ (x / y)) * z,u,w).
a(((K(x,x \ 1) / x) \ (y / x)) * z,u,w) = a(((y / (1 / x)) / x) * z,u,w).
(x \ y) \ K(z \ x,z) = (((z \ x) * z) \ y) \ 1.
(((x \ y) * x) \ z) \ 1 = (y \ z) \ K(x \ y,x).
(((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x).
((x * y) \ y) \ 1 = T(((y * x) \ y) \ 1,y).
T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1.
(x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y).
T(L(x \ 1,x,y) \ 1,y) = ((x * y) \ y) \ 1.
(x \ ((y \ x) \ x)) \ 1 = T((x \ y) \ 1,y).
T((x \ y) \ 1,y) = (x \ ((y \ x) \ x)) \ 1.
(T(x,y) \ T(x * y,y \ 1)) \ 1 = T((T(x,y) \ (x * y)) \ 1,x * y).
T((T(x,y) \ (x * y)) \ 1,x * y) = (T(x,y) \ T(x * y,y \ 1)) \ 1.
T((x \ (x / y)) \ 1,x / y) = (x \ (y \ x)) \ 1.
a(x \ ((y \ (z \ y)) \ 1),u,w) = a(x \ ((y \ (y / z)) \ 1),u,w).
a(x \ ((y \ (y / z)) \ 1),u,w) = a(x \ ((y \ (z \ y)) \ 1),u,w).
a(x * ((y * z) \ u),w,v5) = a(((z * y) \ u) * x,w,v5).
a(((x * y) \ z) * u,w,v5) = a(u * ((y * x) \ z),w,v5).
K(x,y) * (((x * y) \ z) * u) = ((y * x) \ z) * u.
((x * y) \ x) * y = ((x * T(y,z)) \ x) * T(y,z).
((x * T(y,z)) \ x) * T(y,z) = ((x * y) \ x) * y.
((x * T(y,y \ z)) \ x) * ((y \ z) \ z) = ((x * y) \ x) * y.
L(x,y,z * ((u * w) \ v5)) = L(x,y,((w * u) \ v5) * z).
L(x,y,((z * u) \ w) * v5) = L(x,y,v5 * ((u * z) \ w)).
L(x,y,(z \ x) * (z / x)) = x.
x = L(x,y,(z \ x) * (x \ z)).
L(x,y,(z \ x) * (x \ z)) = x.
x \ y = L(x \ y,z,x * (y \ (x \ y))).
L(x \ y,z,x * (y \ (x \ y))) = x \ y.
L(R(1 / x,x,y) \ y,z,R(1 / x,x,y) * (y \ (R(1 / x,x,y) \ y))) = x * y.
((x * (y \ (x \ y))) * y) / (x \ y) = (x * (y \ (x \ y))) * x.
T(x,y) * R(x \ 1,x,y) = (y / (y * x)) * x.
(x / (x * y)) * y = R(y,y,x) \ T(y,x).
R(x,x,y) \ T(x,y) = (y / (y * x)) * x.
(R(R(x,x,y),R(x,x,y),z) \ T(R(x,x,y),z)) / ((y / (x * y)) \ 1) = z / (z * R(x,x,y)).
L(x \ (a(y,z,u) \ x),x,w) = (x * w) \ (w * (a(y,z,u) \ T(x,w))).
T(T(x,K(y,z)),K(y,u)) = T(x * K(y,x),T(y,u * z)).
T(x * K(y,x),T(y,z * u)) = T(T(x,K(y,u)),K(y,z)).
T(x,(y * z) \ (u * T(y,z))) = T(x,T(z \ u,y)).
T(x,T(y \ z,u)) = T(x,y \ (u \ (z * T(u,y)))).
T(x,y \ (z \ (u * T(z,y)))) = T(x,T(y \ u,z)).
T(x,y \ T(z * K(u,y),u)) = T(x,T(y \ z,u)).
T(x,(y \ T(z,u)) * K(u,y)) = T(x,T(y \ z,u)).
T(x,T(T(y,z) / T(u,z),u)) = T(x,T(u \ y,z)).
T(x,T(y \ z,u)) = T(x,T(y,u) \ T(z,u)).
T(x,T(y,z) \ T(u,z)) = T(x,T(y \ u,z)).
T(x,T(T(y,z),u) \ T(w,z)) = T(x,T(T(y,u) \ w,z)).
T(x,T(T(y,z) \ u,z)) = T(x,y \ T(u,z)).
T(x,T(T(T(y,z),u) \ w,z)) = T(x,T(y,u) \ T(w,z)).
T(x,T(T(y \ z,u) \ w,y)) = T(x,T(z / y,u) \ T(w,y)).
T(x,T(y / z,u) \ T(w,z)) = T(x,T(T(z \ y,u) \ w,z)).
K((x \ T(y,1 / z)) * z,u) = K(x \ ((z \ 1) \ y),u).
K(x \ ((y * z) * u),y) = K(y * ((x / u) \ z),T(y,u)).
K(x * ((y / z) \ u),T(x,z)) = K(y \ ((x * u) * z),x).
K(x \ y,T(z,u)) = K((u * x) \ (y * T(u,x)),z).
K((x * y) \ (z * T(x,y)),u) = K(y \ z,T(u,x)).
K(x \ y,T(z,u)) = K(x \ (u \ (y * T(u,x))),z).
K(x \ (y \ (z * T(y,x))),u) = K(x \ z,T(u,y)).
K(x \ T(y * K(z,x),z),u) = K(x \ y,T(u,z)).
K((x \ T(y,z)) * K(z,x),u) = K(x \ y,T(u,z)).
K(T(T(x,y) / T(z,y),z),u) = K(z \ x,T(u,y)).
K(x \ y,T(z,u)) = K(T(x,u) \ T(y,u),z).
K(T(x,y) \ T(z,y),u) = K(x \ z,T(u,y)).
K(T(x,y) \ z,T(u,y)) = K(x \ T(z,y),u).
K(x \ T(y,z),T(u,z)) = K(T(x,z) \ y,u).
K(T(x \ 1,y) \ z,u) = K(x * T(z,y),T(u,y)).
T(x,((y * (z \ 1)) / y) \ u) = T(x,T(u / ((y * (z \ 1)) / y),z)).
T(x,T(y / ((z * (u \ 1)) / z),u)) = T(x,((z * (u \ 1)) / z) \ y).
K(x * (y / T(z,u)),w) = K(K(z,u) * (x * (y / z)),w).
K(K(x,y) * (z * (u / x)),w) = K(z * (u / T(x,y)),w).
T(x,T(T(y \ z,y),u) \ w) = T(x,T(z / y,u) \ w).
T(x,T(y,z) \ L(y,u,w)) = T(x,K(y,z)).
T(x,T(y,z) \ L(y,u,w)) = T(x,K(z,y)).
T(x,K(y \ (z \ y),u) * w) = T(T(x,K(u,z \ 1)),w).
T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1.
T((x \ K(y,z)) \ 1,u) = T(T(x * K(z,y),u),x \ 1).
T(T(x * K(y,z),u),x \ 1) = T((x \ K(z,y)) \ 1,u).
T(x,y \ L(T(y,z),u,w)) = T(x,K(z,y)).
T(x,y \ ((1 / z) * (y * z))) = T(x,K(z,y)).
T(x,K(y,z)) = T(x,z \ ((y \ 1) * (z * y))).
T(x,y \ ((z \ 1) * (y * z))) = T(x,K(z,y)).
T(x,y \ ((z \ 1) * (y * z))) = T(x,K(y,z)).
T(x,y \ T(T(z,u),w)) = T(x,(y \ T(z,u)) * K(w,z)).
T(x,(y \ T(z,u)) * K(w,z)) = T(x,y \ T(T(z,u),w)).
T(x,y \ T(T(z * u,w),u)) = T(x,K(u,z) * (y \ T(z * u,w))).
T(x,K(y,z) * (u \ T(z * y,w))) = T(x,u \ T(T(z * y,w),y)).
T(x,y \ T((z * T(u,w)) / z,v5)) = T(x,y \ T(T(T(u,v5),z),w)).
T(x,y \ (z * (u / (u / w)))) = T(x,y \ (z * T(w,u))).
T(x,y * (z \ ((u \ w) * u))) = T(x,K(w,u) * (y * (z \ w))).
T(x,K(y,z) * (u * (w \ y))) = T(x,u * (w \ ((z \ y) * z))).
T(L(x * K(y,z),u,w),T(x,v5)) = K(y,z) * L(x,u,w).
(x \ y) * (L(T(y / x,x),z,u) \ w) = (y / x) * (L(y / x,z,u) \ w).
(x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y).
T((x / y) \ 1,x) \ (x \ y) = (x / y) * (y / x).
x \ T(x * ((x \ 1) / y),z) = (x \ K(1 / y,z)) / y.
L(x,y,(z * u) * w) = L(x,y,w * (z * ((u \ v5) \ v5))).
L(x,y,z * (u * ((w \ v5) \ v5))) = L(x,y,(u * w) * z).
L(x,y,(z * u) \ w) = L(x,y,(((u \ v5) \ v5) * z) \ w).
L(x,y,(((z \ u) \ u) * w) \ v5) = L(x,y,(w * z) \ v5).
T(x * K(y,z),x \ z) = (x \ T(z,y)) \ z.
T(T(K(x,y) * K(z,u),z),K(x,T(y,z)) \ u) = (K(x,T(y,z)) \ T(u,z)) \ u.
T(x,y * (T(z,u) * w)) = T(x,y * (K(u,z) * (z * w))).
T(x,y * (K(z,u) * (u * w))) = T(x,y * (T(u,z) * w)).
T(x,y * (T(z,u) * u)) = T(x,y * T(z * u,u)).
T(x,y * T(z * u,u)) = T(x,y * (T(z,u) * u)).
T(x,y \ (T(z,u) * w)) = T(x,K(u,z) * (y \ (z * w))).
T(x,K(y,z) * (u \ (z * w))) = T(x,u \ (T(z,y) * w)).
T(x,y \ (T(z \ u,w) \ u)) = T(x,K(w,z \ u) * (y \ T(z,u))).
T(x,K(y,z \ u) * (w \ T(z,u))) = T(x,w \ (T(z \ u,y) \ u)).
T(x,y * ((z / u) \ K(u,y))) = T(x,u / (z / y)).
T(x,y / (z / u)) = T(x,T(u,y) / (z / y)).
T(x,T(y,z) / (u / z)) = T(x,z / (u / y)).
T(x,T(y,z) / u) = T(x,z / ((u * z) / y)).
T(x,y / ((z * y) / u)) = T(x,T(u,y) / z).
T(x,T(T(y,z),u) / (w / z)) = T(x,z / (w / T(y,u))).
T(x,T(T(y,z),u) / (w / (K(v5,y) * z))) = T(x,(K(v5,y) * z) / (w / T(y,u))).
T(x,T(y,z) / (u * K(w,v5))) = T(x,z / ((u * (K(w,v5) * z)) / y)).
T(x,y / ((z * (K(u,w) * y)) / v5)) = T(x,T(v5,y) / (z * K(u,w))).
T(x,y / R(z / u,u,y)) = T(x,T(u * y,y) / z).
T(x,(K(y,z) * u) / ((w * (K(y,z) * u)) / T(z,v5))) = T(x,T(T(z,u),v5) / w).
T(x,T(y,z) / u) = T(x,T(y / T(u,z),z)).
T(x,T(y / T(z,u),u)) = T(x,T(y,u) / z).
T(x,y \ T(z,y * u)) = T(x,T(z,u) / y).
T(x,T(y,z * u) / z) = T(x,T(y / T(z,u),z * u)).
T(x,T(y / T(z,u),z * u)) = T(x,T(y,z * u) / z).
T(x,y \ T(z,u)) = T(x,T(z,y \ u) / y).
T(x,T(y,z \ u) / z) = T(x,z \ T(y,u)).
T(x,T(y * z,z) / u) = T(x,z / (u / y)).
T(x,T(y,z) / u) = T(x,z / (u / (y / z))).
T(x,y / (z / (u / y))) = T(x,T(u,y) / z).
T(x,(y * (z / y)) / u) = T(x,T(z,y) / u).
T(x,T(y / z,y) / (u / z)) = T(x,T(y,z \ 1) / u).
K(K(x,y / z) * u,w) = K(K(x,z * y) * u,w).
K(K(x,y) * z,u) = K(K(x,w * (y * w)) * z,u).
K(K(x,y * (z * y)) * u,w) = K(K(x,z) * u,w).
K(K(x,y) * (x \ z),u) = K(T(x,w * (y * w)) \ z,u).
K(T(x,y * (z * y)) \ u,w) = K(K(x,z) * (x \ u),w).
K(K(x,y \ (z \ y)) * u,w) = K(K(x,z) * u,w).
K(K(x,y) * z,u) = K(z * K(x,y \ 1),u).
K(x * K(y,z \ 1),u) = K(K(y,z) * x,u).
K(x * K(y,z),u) = K(K(y,z \ 1) * x,u).
K(K(x,y \ 1) * z,u) = K(z * K(x,y),u).
T(x,T(T(y,z) / u,z * w)) = T(x,T((y * z) / (z * u),w)).
T(x,T((y * z) / (z * u),w)) = T(x,T(T(y,z) / u,z * w)).
T(x,K(y,T(z,u)) * ((w / y) * K(y,u))) = T(x,w / T(y * K(u,y),z)).
T(x,T(y \ 1,z) * u) = T(x,K(y * 1,z) * (y \ u)).
T(x,K(y * 1,z) * (y \ u)) = T(x,T(y \ 1,z) * u).
T(x,y * T(z \ 1,u)) = T(x,y * T(1 / z,u)).
T(x,y * T(1 / z,u)) = T(x,y * T(z \ 1,u)).
T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)).
K(T(x \ 1,y) * z,u) = K(K(y,x \ 1) * (x \ z),u).
K(K(x,y \ 1) * (y \ z),u) = K(T(y \ 1,x) * z,u).
R(T(x,y),z,u) * (T(x,y) \ w) = (w / x) * R(x,z,u).
a(((x \ (y \ z)) * u) \ w,v5,v6) = a((u * (x \ (z / y))) \ w,v5,v6).
L(x,y,((T(z,u) * w) \ v5) * v6) = L(x,y,((z * w) \ v5) * v6).
a((x \ ((y \ z) * u)) * w,v5,v6) = a((x \ ((z / y) * u)) * w,v5,v6).
a((x \ ((y / z) * u)) * w,v5,v6) = a((x \ ((z \ y) * u)) * w,v5,v6).
T(x,y) * K(z \ y,u) = T(x * K(y / z,u),y).
T(x * K(y / z,u),y) = T(x,y) * K(z \ y,u).
K(x / y,z) * T(y,x) = T(y * K(x / y,z),x).
T(x * K(y / x,z),y) = K(y / x,z) * T(x,y).
T(x,T(y * K(z / y,u),z)) = T(x,z / T(z / y,u)).
T(x,y) * K(z,u * y) = T(x * K(z,y * u),y).
T(x * K(y,z * u),z) = T(x,z) * K(y,u * z).
T(x * K(y,z * u),z) \ w = K(u * z,y) * (T(x,z) \ w).
a(x * ((y * x) \ ((x * z) * y)),u,w) = a(x * R(z,x,y),u,w).
L(x,y,z * ((u * z) \ (w * u))) = L(x,y,z * R(z \ w,z,u)).
L(x,y,z * R(z \ u,z,w)) = L(x,y,z * ((w * z) \ (u * w))).
T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u * z)).
T(x,K(y,z)) = T(x,K(y,z * (u * L(u,w,v5)))).
T(x,K(y,z * (u * L(u,w,v5)))) = T(x,K(y,z)).
K(x \ ((y \ 1) \ z),u) = K(x \ ((1 / y) \ z),u).
K(x \ ((1 / y) \ z),u) = K(x \ ((y \ 1) \ z),u).
K(((x * y) / x) \ ((y \ 1) \ z),u) = K(K(y,x) * z,u).
K(((x \ y) * x) \ ((y \ 1) \ z),u) = K(K(x,x \ y) * z,u).
T(x,K(y \ (z \ y),u) * w) = T(T(x,K(u,z)),w).
T(x,K(y \ (z \ y),u) * w) = T(x,K(z,u) * w).
T(x,K(y,z) * u) = T(x,u * K(w \ (y \ w),z)).
T(x,y * K(z \ (u \ z),w)) = T(x,K(u,w) * y).
T(x,y * K(z \ 1,u)) = T(x,K(z,u) * y).
T(x,y * K(z \ u,w)) = T(x,K(u \ z,w) * y).
T(x,K(y \ z,u) * w) = T(x,w * K(z \ y,u)).
T(x,K(y,z) * (((z / y) / u) \ z)) = T(x,u / ((z / y) / z)).
T(x,y * K(z \ u,w)) = T(x,K(u * z,w) * y).
T(x,K(y * z,u) * w) = T(x,w * K(z \ y,u)).
T(x,K(y * z,u) * w) = T(x,w * K(z \ R(y,v5,v6),u)).
T(x,y * K(z \ R(u,w,v5),v6)) = T(x,K(u * z,v6) * y).
T(x,(y \ T(z,u)) * K(w,z)) = T(x,y \ T(T(z,w),u)).
T(x,y \ z) = T(x,y \ T(T(z,u),u)).
T(x,y \ T(T(z,u),u)) = T(x,y \ z).
T(x,(y / z) \ u) = T(x,z / (y / T(u,y))).
T(x,y / (z / T(u,z))) = T(x,(z / y) \ u).
T(x,(y * z) / T(u,z)) = T(x,(u / y) \ z).
T(x,y / T(z,u)) = T(x,(z / (y / u)) \ u).
T(x,(y / (z / u)) \ u) = T(x,z / T(y,u)).
T(x,y / ((z \ u) * z)) = T(x,y / T(u,z)).
T(x,y / (z * u)) = T(x,y / T(u * z,u)).
T(x,y / T(z * u,z)) = T(x,y / (u * z)).
T(x,(y \ z) / (u * w)) = T(x,y \ (z / T(w * u,w))).
T(x,y \ (z / T(u * w,u))) = T(x,(y \ z) / (w * u)).
T(x,y \ (z * T(u,y))) = T(x,T((y / z) \ u,y)).
L(T(x * K(y,z),T(x,u)),w,v5) = K(y,z) * L(x,w,v5).
x \ T(x * ((x \ 1) / y),z) = (x \ K(y \ 1,z)) / y.
L(x,y,z * (T(u,w) * ((R(w,u,u \ 1) \ v5) \ v5))) = L(x,y,(u * ((u * w) * (u \ 1))) * z).
L(x,y,((((z * u) \ w) \ w) * (u \ 1)) \ v5) = L(x,y,R(z,u,u \ 1) \ v5).
T(x,y * (z * u)) = T(x,y * (T(u,z) * z)).
T(x,y * (T(z,u) * u)) = T(x,y * (u * z)).
T(x,y * (y * z)) = T(x,(z * y) * y).
T(x,(y * z) * z) = T(x,z * (z * y)).
T(x,y * T(z * u,u)) = T(x,y * (u * z)).
T(x,y * T(z,u)) = T(x,y * (u * (z / u))).
T(x,y * (z * (u / z))) = T(x,y * T(u,z)).
T(x,y * (T(z,u) * u)) = T(x,y * T(z * u,z)).
T(x,y * T(z * u,z)) = T(x,y * (T(z,u) * u)).
T(x,y * T(z * u,z)) = T(x,y * (u * z)).
T(x,y * T(z,u)) = T(x,y * ((u \ z) * u)).
T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)).
T(x,T(y,z * u) / z) = T(x,T(T(z,u) \ y,u)).
T(x,T(T(y,z) \ u,z)) = T(x,T(u,y * z) / y).
T(x,T(y,z * u) / z) = T(x,z \ T(y,u)).
T(x,T(y,z) / u) = T(x,u \ T(y,u \ z)).
T(x,y \ T(z,y \ u)) = T(x,T(z,u) / y).
T(x,y \ T(z,u)) = T(x,T(z,u * y) / y).
T(x,T(y,z * u) / u) = T(x,u \ T(y,z)).
T(x,T(y,z) \ T(u,w)) = T(x,T(u,y * w) / T(y,z)).
T(x,T(y,z * u) / T(z,w)) = T(x,T(z,w) \ T(y,u)).
T(x,y \ T(z,u / y)) = T(x,T(z,u) / y).
T(x,T(y,z * (u \ w)) / (u \ w)) = T(x,w \ (u * T(y,z))).
T(x,T(y,z \ 1) / u) = T(x,z \ (y / (u / z))).
T(x,y \ (z / (u / y))) = T(x,T(z,y \ 1) / u).
K(T(x,y * (z * y)) \ u,w) = K(T(x,z) \ u,w).
K(T(x,y * z) \ u,w) = K(T(x,z / y) \ u,w).
K(T(x,y / z) \ u,w) = K(T(x,z * y) \ u,w).
K(T(x,y * z) \ u,w) = K(T(x,y \ z) \ u,w).
K(T(x,y \ z) \ u,w) = K(T(x,y * z) \ u,w).
T(x,K(y,z) * (y \ u)) = T(x,T(y \ 1,z) * u).
T(x,T(y \ 1,z) * u) = T(x,K(y,z) * (y \ u)).
T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u).
T(x,T(y,z) * u) = T(x,T(1 / y,z) \ u).
T(x,T(1 / y,z) \ u) = T(x,T(y,z) * u).
T(x,T(y,z) * u) = T(x,T(y \ 1,z) \ u).
T(x,T(y \ 1,z) \ u) = T(x,T(y,z) * u).
T(x,T(y \ 1,z \ u) \ w) = T(x,T(y,T(z,y \ 1) \ u) * w).
T(x,T(y,T(z,y \ 1) \ u) * w) = T(x,T(y \ 1,z \ u) \ w).
T(x,T(y \ 1,z / u) \ w) = T(x,T(y,z / T(u,y \ 1)) * w).
T(x,T(y,z / T(u,y \ 1)) * w) = T(x,T(y \ 1,z / u) \ w).
K(T(x \ 1,y) * z,u) = K((x \ z) * K(y,x),u).
K(T(x \ 1,y) * z,u) = K(T(z / T(x,y),x),u).
K(T(x / T(y,z),y),u) = K(T(y \ 1,z) * x,u).
K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u).
K(T(x,y) * z,u) = K(T(1 / x,y) \ z,u).
K(T(1 / x,y) \ z,u) = K(T(x,y) * z,u).
K(T(x,y) * z,u) = K(T(x \ 1,y) \ z,u).
K(T(x \ 1,y) \ z,u) = K(T(x,y) * z,u).
K(T(x,y) * z,u) = K(x * T(z,y),T(u,y)).
K(x * T(y,z),T(u,z)) = K(T(x,z) * y,u).
K(T(x,y \ z) * u,w) = K(T(x \ 1,y * z) \ u,w).
K(T(x \ 1,y * z) \ u,w) = K(T(x,y \ z) * u,w).
K(T(x,y) * z,T(u,y)) = K(x * T(z,y),u).
K(T(x,y * z) * y,u) = K(T(y,y * z) * x,T(u,z)).
K(T(x,x * y) * z,T(u,y)) = K(T(z,x * y) * x,u).
R(T(T(x,y),z),u,w) * (T(T(x,z),y) \ v5) = (v5 / T(x,y)) * R(T(x,y),u,w).
(x / y) * R(y,z,u) = (x / T(y,w)) * R(T(y,w),z,u).
(x / T(y,z)) * R(T(y,z),u,w) = (x / y) * R(y,u,w).
K(K(x,y) * z,u) = K(T(x,y) \ ((x \ 1) \ z),u).
K(T(x,y) \ ((x \ 1) \ z),u) = K(K(x,y) * z,u).
T(x,y \ T(T(z * u,z),w)) = T(x,K(u,z) * (y \ T(z * u,w))).
T(x,K(y,z) * (u \ T(z * y,w))) = T(x,u \ T(T(z * y,z),w)).
T(x,(y \ z) / (u * z)) = T(x,y \ ((z * u) \ z)).
T(x,y \ ((z * (1 / u)) \ z)) = T(x,((y \ z) / z) * u).
L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w).
(K(x,y) / z) \ L(K(x,y) * (1 / z),u,w) = z * L(z \ 1,u,w).
x \ L(K(y,x) * z,u,w) = T(x,y) \ L(z,u,w).
L(K(x,y) * z,u,(u * z) \ z) = K(x,y) * ((R(u,u,z) \ u) \ z).
L(K(x * x,y) * x,x,y) = y \ (((x * x) * y) / x).
L(K(x \ y,x) * y,z,u) / ((x \ y) * x) = y \ L(y,z,u).
x \ L(x * y,z,u) = T(x,w) \ L(T(x,w) * y,z,u).
T(x,y) \ L(T(x,y) * z,u,w) = x \ L(x * z,u,w).
L(x * K(x * x,y),x,y) = y \ (((x * x) * y) / x).
x \ (((y * y) * x) / y) = (x * y) \ ((y * y) * x).
(x * y) \ ((y * y) * x) = x \ (((y * y) * x) / y).
L(((x * x) * y) / (y * x),z,u) * (y * x) = (y * x) * L(y \ (((x * x) * y) / x),z,u).
a(x,y,z) \ (a(x,y,z) * ((a(x,y,z) \ 1) / u)) = (a(x,y,z) \ K(u \ 1,(a(x,y,z) \ 1) / u)) / u.
K(T(x,y \ z) * u,w) = K(T(x,y * z) * u,w).
K(T(x,y \ K(z,u)) * w,v5) = K(T(x,y) * w,v5).
K(T(T(x,y),z) * y,u) = K(y * T(x,z \ K(w,v5)),u).
K(T(x,y * z) * y,u) = K(T(y,z) * x,T(u,z)).
K(T(x,y * z) * y,u) = K(y * T(x,z),u).
K(x * ((y * z) \ y),u) = K(((y * z) \ y) * T(x,z),u).
K(((x * y) \ x) * T(z,y),u) = K(z * ((x * y) \ x),u).
T(x,((T(y,z / u) \ z) / z) * u) = T(x,(z * (1 / u)) \ (y \ z)).
(x \ y) \ L(T(y / x,x) * z,u,w) = (y / x) \ L((y / x) * z,u,w).
K(x * T(y,z \ K(u,w)),v5) = K(x * T(y,z),v5).
K(x * T(y,z \ 1),u) = K(x * T(y,z),u).
K(x * L(y \ 1,z,u),w) = K(L(y \ 1,z,u) * T(x,y),w).
K(L(x \ 1,y,z) * T(u,x),w) = K(u * L(x \ 1,y,z),w).
(x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x).
a(x,y,z) = a(x,T(y,u),K(u,y) * z).
a(x,T(y,z),K(z,y) * u) = a(x,y,u).
L(T(x,x \ y),z,x) \ y = T(L(x,z,x) \ y,x).
x * T(L(x,y,x) \ z,x) = (x \ z) * R(x,y,x).
(x \ y) * R(x,z,x) = (L(x,z,x) \ y) * x.
(L(x,y,x) \ z) * x = (x \ z) * R(x,y,x).
a(x * ((y * L(y \ (x \ z),x,y)) * K(u,w)),v5,v6) = a(y * (x * ((y * x) \ z)),v5,v6).
a(R(x,y,x) * (z * ((R(x,y,x) * z) \ u)),w,v5) = a(z * (x * L(R(x,y,x) \ (z \ u),z,R(x,y,x))),w,v5).
a(x * (y * L(R(y,z,y) \ (x \ u),x,R(y,z,y))),w,v5) = a(R(y,z,y) * (x * ((R(y,z,y) * x) \ u)),w,v5).
a(x,y,z) * (u * R(u \ (a(x,y,z) \ w),a(x,y,z),u)) = u * (a(x,y,z) * ((u * a(x,y,z)) \ w)).
L(x,y,L(L(z,u,z) \ w,v5,v6)) = L(x,y,R(z \ w,v5,v6)).
T(x,T(y,a(z,u,w) / v5) \ v6) = T(x,T(y,v5) \ v6).
T(x,T(y,z) \ u) = T(x,T(y,z \ a(w,v5,v6)) \ u).
T(x,T(y,z \ a(u,w,v5)) \ v6) = T(x,T(y,z) \ v6).
T(x,T(y,z \ 1) \ u) = T(x,T(y,z) \ u).
T(x,T(T(y,z \ 1),u) \ w) = T(x,T(T(y,u),z) \ w).
T(x,T(y,z) \ ((z \ 1) \ u)) = T(x,z * (y \ u)).
T(x,y * ((y \ z) \ u)) = T(x,(z / y) \ ((y \ 1) \ u)).
T(x,(y / z) \ ((z \ 1) \ u)) = T(x,z * ((z \ y) \ u)).
T(x,y / T(z,u \ R(w,v5,v6))) = T(x,K(w * u,z) * (y / z)).
L(x,y,z) = L(L(x,y,K(u,w)),K(u,w) * y,z).
L(L(x,y,K(z,u)),K(z,u) * y,w) = L(x,y,w).
L(x,K(y,z) * u,w) = L(x,u,w).
L(x,T(y,z),u) = L(x,y,u).
L(x,y * K(z,y),u) = L(x,y,u).
L(x,y * z,u) = L(x,z * y,u).
L(x,T(y,z) * u,w) = L(x,y * u,w).
L(x,y \ z,u) = L(x,T(y,w) \ z,u).
L(x,T(y,z) \ u,w) = L(x,y \ u,w).
L(x,(y \ z) \ z,u) = L(x,y,u).
L(x,(y \ z) * y,u) = L(x,z,u).
L(x,y / z,u) = L(x,z \ y,u).
L(x,y,z) = L(x,(u * y) / u,z).
L(x,(y * z) / y,u) = L(x,z,u).
L(x,y * (z / y),u) = L(x,z,u).
L(x,(y * z) * u,w) = L(x,(z * y) * u,w).
L(x,(y * z) / u,w) = L(x,(z * y) / u,w).
L(x,y \ L(y,z,y),u) = L(x,K(z,y),u).
L(x,(y \ z) * u,w) = L(x,(z / y) * u,w).
L(x,(y / z) * u,w) = L(x,(z \ y) * u,w).
L(x,(T(y,z) * u) * w,v5) = L(x,(y * u) * w,v5).
L(x,(y / z) \ u,w) = L(x,(z \ y) \ u,w).
L(x,y \ z,u) = L(x,((y \ w) \ w) \ z,u).
L(x,((y \ z) \ z) \ u,w) = L(x,y \ u,w).
L(x,(y * z) * (y \ 1),u) = L(x,R(z,y,y \ 1),u).
L(x,((y * y) \ y) \ z,u) = L(x,(y \ 1) \ z,u).
L(x,R(T(y,z),u,w) \ v5,v6) = L(x,R(y,u,w) \ v5,v6).
L(x,(y * z) * R(u,y,z),w) = L(x,(u * y) * z,w).
L(x,((y / z) * u) * w,v5) = L(x,((z \ y) * u) * w,v5).
L(x,y * K(z,u),w) = L(x,y,w).
L(x,L(T(y,z),u,w),v5) = L(x,L(y,u,w),v5).
L(x,y \ (K(z,u) * w),v5) = L(x,y \ w,v5).
L(x,y \ K(z,u),w) = L(x,y \ 1,w).
L(x,y \ T(z,u),w) = L(x,y \ z,w).
L(x,((y \ z) * y) \ u,w) = L(x,z \ u,w).
L(x,(y * z) \ u,w) = L(x,(y * T(z,v5)) \ u,w).
L(x,(y * T(z,u)) \ w,v5) = L(x,(y * z) \ w,v5).
L(x,(y \ z) \ u,w) = L(x,(y \ T(z,v5)) \ u,w).
L(x,(y \ T(z,u)) \ w,v5) = L(x,(y \ z) \ w,v5).
L(x,L(K(y,z) * u,w,v5),v6) = L(x,L(u,w,v5),v6).
L(x,y \ (z * y),u) = L(x,z,u).
L(x,R(T(y,z),u,w),v5) = L(x,R(y,u,w),v5).
(x * T(y,z)) * L(u,y,x) = x * (T(y,z) * u).
L(x,R((y \ z) \ z,u,w),v5) = L(x,R(y,u,w),v5).
L(x,L(y,z,y),u) = L(x,y * K(z,y),u).
L(x,y * K(z,y),u) = L(x,L(y,z,y),u).
L(x,T(y,z),T(u,w)) = L(x,y,u).
L(x,R(y,z,z \ 1),u) = L(x,z * (y * (1 / z)),u).
L(x,y * (z * (1 / y)),u) = L(x,R(z,y,y \ 1),u).
L(x,L(y,z,z \ 1),u) = L(x,(z * y) * (1 / z),u).
L(x,(y * z) * (1 / y),u) = L(x,L(z,y,y \ 1),u).
L(x,K(y,z) * (u * w),v5) = L(x,w * (K(y,z) * u),v5).
L((x / y) \ z,y \ x,u) = (u * (x / y)) \ (u * z).
L(x,x \ 1,y) = (y * (1 / x)) \ y.
x / L(y,y \ 1,x) = x * (1 / y).
L(x,x \ y,z) = (z * (y / x)) \ (z * y).
(x * y) / L(z,z \ y,x) = x * (y / z).
L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z.
T((1 / x) * T(y,y * (1 / x)),x) = x \ R(L(y,x \ 1,y),x,x \ 1).
x / L(y,y \ z,z \ x) = (x / z) * (z / y).
L(x,x \ 1,(1 / x) \ y) = y \ (y / (1 / x)).
L(x,x \ y,(x \ y) \ 1) = (1 / (y / x)) * y.
L(T(x,y),T(x,y) \ 1,z) = (z * (K(y,x) / x)) \ z.
L(x,x \ 1,y) \ y = T(y * (1 / x),x).
L(x,y \ 1,x) * (1 / y) = (1 / y) * T(x,y \ x).
L(T(x,x \ y),x \ 1,y) = T(y * (1 / x),x) \ y.
x * L(R(y,z,u) \ y,y \ 1,(y \ 1) \ x) = (x / (1 / y)) * R(1 / y,z,u).
L(x,x \ 1,y) * K(y,z) = (y * (1 / x)) \ T(y,z).
((1 / x) * T(y,y * (1 / x))) * x = R(L(y,x \ 1,y),x \ 1,x).
L(x,y,z) = (z * ((x * y) / x)) \ (z * (x * y)).
L(x,L(y / z,u,w),v5) = L(x,L(z \ y,u,w),v5).
L((x * (y / x)) \ (z \ u),y,z) = (z * (x * (y / x))) \ u.
L(x,y * T(z,u),w) = L(x,y * z,w).
L(x,y * (z * K(u,w)),v5) = L(x,y * z,v5).
L(x,y \ (z * K(u,w)),v5) = L(x,y \ z,v5).
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),w) = L(x,y * (u \ z),w).
L(x,y \ ((z \ u) \ u),w) = L(x,y \ z,w).
L(x,y \ (z / u),w) = L(x,y \ (u \ z),w).
L(x,y \ (z * T(u,w)),v5) = L(x,y \ (z * u),v5).
L(x,y \ R(z,u,w),v5) = L(x,y \ R(T(z,v6),u,w),v5).
L(x,y \ R(T(z,u),w,v5),v6) = L(x,y \ R(z,w,v5),v6).
L(x,y \ (z \ (K(u,w) * v5)),v6) = L(x,y \ (z \ v5),v6).
L(x,y \ L(z * K(u,w),v5,v6),v7) = L(x,y \ L(z,v5,v6),v7).
x / L(1 / y,y,x) = x * (1 / (1 / y)).
L(x,(K(y,z) * (u * y)) * w,v5) = L(x,(u * T(y,z)) * w,v5).
L(x,y * z,u) = L(x,z * T(y,w),u).
L(x,y * T(z,u),w) = L(x,z * y,w).
L(x,L((y \ z) \ z,u,w) \ v5,v6) = L(x,L(y,u,w) \ v5,v6).
L(1 / (1 / (x \ T(y,z))),y \ x,y \ x) = x \ T(y,z).
L(x,y \ a(z,z,z),u) = L(x,y \ 1,u).
K(x,y) * L(z,u \ 1,u) = u * ((u \ K(x,y)) * z).
L(x,y \ ((z * u) \ (w * u)),v5) = L(x,y \ R(w / z,z,u),v5).
L(x,y \ R(z / u,u,w),v5) = L(x,y \ ((u * w) \ (z * w)),v5).
L(x,y \ R(z,u,u \ 1),w) = L(x,y \ ((u * z) * (u \ 1)),w).
L(x,y \ ((z * u) * (z \ 1)),w) = L(x,y \ R(u,z,z \ 1),w).
L(x,y \ (z \ (u / (z \ 1))),w) = L(x,y \ ((u / z) / (1 / z)),w).
L(x,y \ ((z / u) / (1 / u)),w) = L(x,y \ (u \ (z / (u \ 1))),w).
L(x,y * R(z,u,u \ 1),w) = L(x,y * ((u * z) * (u \ 1)),w).
L(x,y * ((z * u) * (z \ 1)),w) = L(x,y * R(u,z,z \ 1),w).
L(x,y * R(z,u,u \ 1),w) = L(x,y * (((1 / u) * z) * u),w).
L(x,y * (((1 / z) * u) * z),w) = L(x,y * R(u,z,z \ 1),w).
L(x,y * L(z,u,z),w) = L(x,y * (z * K(u,z)),w).
L(x,y * (z * K(u,z)),w) = L(x,y * L(z,u,z),w).
L(x,y * ((z \ u) \ u),w) = L(x,z * y,w).
L(x,y \ L(y,z,y),u) = x.
(x * (y \ L(y,z,y))) * u = x * ((y \ L(y,z,y)) * u).
(x \ L(x,y,x)) \ z = L(x,y,x) \ (x * z).
L(x,L(y,z,y),u) = L(x,y,u).
(x * L(y,z,y)) * L(u,y,x) = x * (L(y,z,y) * u).
L(x,y,z) = L(x,R(y,u,y),z).
L(x,R(y,z,y),u) = L(x,y,u).
R(L(x,y,x) * ((z * L(x,y,x)) \ z),y,x) / x = R(L(1 / L(x,y,x),x,z),y,x).
(1 / L(x,y,x)) \ L(z,x,L(x,y,x) \ 1) = L(x,y,x) * z.
L(R(x,y,x) \ K(z,u),x,z) = (z * R(x,y,x)) \ T(z,u).
L(x,x,L(y,z,x)) = L(x,x,y).
L(x,x,(x * y) \ z) = L(x,x,y \ (x \ z)).
R(x,y,y) * L(y,y,x) = x * y.
L(x,x,x \ y) = L(x,x,(y \ x) \ 1).
L(x,x,(y \ x) \ 1) = L(x,x,x \ y).
L(x,x,y \ x) = L(x,x,x * (y \ 1)).
L(x,x,x * (y \ 1)) = L(x,x,y \ x).
x * (L(x,x,y) \ y) = R(y,x,x).
(R(x,y,y) / y) * L(y,y,x) = x.
L(L(x,x,y) \ 1,L(x,x,y),L(y,x,x)) = (y * x) \ R(y,x,x).
x \ R(y,x,x) = L(x,x,y) \ y.
L(x,x,y) \ y = x \ R(y,x,x).
R(x,y,y) / y = x / L(y,y,x).
x * y = L(x,x,y) * R(y,x,x).
L(x,x,y) * R(y,x,x) = x * y.
R(x \ (L(y,y,y) \ z),y,y) = R(x,y,y) \ (L(y,y,z) \ z).
a(L(x \ y,x,x),z,u) = a(L(x,x,y) \ y,z,u).
L(x,x,y) * (R(y,x,x) / x) = x * (y / x).
x * (R(x,y,y) \ y) = L(y,y,x).
L(x,x,x \ y) = R(y / x,x,x) \ y.
R(x / y,y,y) \ x = L(y,y,y \ x).
L(x,x,x \ (y \ x)) = L(x,x,y \ 1).
L(x,x,y \ x) = L(x,x,(y \ 1) * x).
L(x,x,(y \ 1) * x) = L(x,x,y \ x).
L(x,x,L(x \ y,z,x)) = R(y / x,x,x) \ y.
L(x,x,(y \ 1) \ x) = L(x,x,x * y).
L(x,x,(R(K(x,y) * z,u,w) \ 1) \ x) = L(x,x,T(x,y) * R(z,u,w)).
T(x * (y / z),z) = L(z,z \ y,x) \ (x * y).
L(x,x \ y,z) \ (z * y) = T(z * (y / x),x).
x / L(y,y \ (z \ x),z) = z * ((z \ x) / y).
L(L(x,x \ y,z) \ 1,L(x,x \ y,z),L(x,x \ y,z) \ (z * y)) = (z * y) \ (z * (y / x)).
(x * a(y,z,u)) / L(w,w \ x,a(y,z,u)) = a(y,z,u) * (x / w).
L(x,x \ 1,y) \ L(y,z,y) = T(L(y,z,y) * (1 / x),x).
x * T((y / x) * (1 / x),x) = y / L(x,x \ 1,y / x).
x / L(y,y \ 1,x / y) = y * T((x / y) * (1 / y),y).
L(x,(y * z) * u,w) = L(x,u * (z * y),w).
L(x,(y * z) / u,w) = L(x,u \ (z * y),w).
L(x,(y \ z) * u,w) = L(x,u * (z / y),w).
L(x,(y * z) / y,R((y * z) / y,z,y)) = L(x,((y * z) \ y) \ 1,z).
L(x,((1 / y) * (z * y)) \ u,w) = L(x,L(z,y,y \ 1) \ u,w).
L(x,y \ (T(z,u) * w),v5) = L(x,y \ (z * w),v5).
L(x,y \ ((z * u) * w),v5) = L(x,y \ ((u * z) * w),v5).
L(x,(y * z) \ u,w) = L(x,(z * y) \ u,w).
L(x,y \ ((z \ u) * w),v5) = L(x,y \ ((u / z) * w),v5).
L(x,y \ ((z / u) * w),v5) = L(x,y \ ((u \ z) * w),v5).
L(x,y \ ((T(z,u) * w) * v5),v6) = L(x,y \ ((z * w) * v5),v6).
L(x,y \ ((z / u) \ w),v5) = L(x,y \ ((u \ z) \ w),v5).
L(x,(T(y,z) * u) \ w,v5) = L(x,(y * u) \ w,v5).
L(x,((y / z) * u) \ w,v5) = L(x,((z \ y) * u) \ w,v5).
L(x,y \ ((z * u) \ w),v5) = L(x,y \ ((z * T(u,v6)) \ w),v5).
L(x,y \ ((z * T(u,w)) \ v5),v6) = L(x,y \ ((z * u) \ v5),v6).
L(x,((y \ 1) * (z * y)) \ u,w) = L(x,R(z,y,y \ 1) \ u,w).
L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)).
L(x,y * (z * u),w) = L(x,y * (u * z),w).
L(x,y * (T(z,u) \ w),v5) = L(x,y * (z \ w),v5).
L(x,y * (z * (u * K(w,v5))),v6) = L(x,y * (z * u),v6).
L(x,y * (z \ T(u,w)),v5) = L(x,y * (z \ u),v5).
L(x,y * (z * (u \ w)),v5) = L(x,y * (z * (w / u)),v5).
L(x,y * (z * (u / w)),v5) = L(x,y * (z * (w \ u)),v5).
L(x,y * (z \ (u / w)),v5) = L(x,y * (z \ (w \ u)),v5).
L(x,y \ (z \ (u / w)),v5) = L(x,y \ (z \ (w \ u)),v5).
L(x,y \ ((z * T(u,w)) * v5),v6) = L(x,y \ ((K(u,w) * v5) * (z * u)),v6).
L(x,y \ ((K(z,u) * w) * (v5 * z)),v6) = L(x,y \ ((v5 * T(z,u)) * w),v6).
L(x,R((y \ z) \ z,(y \ z) \ z,u),w) = L(x,y * (((y \ z) \ z) \ ((u / (((y \ z) \ z) * u)) \ 1)),w).
L(x,y * (((y \ z) \ z) \ ((u / (((y \ z) \ z) * u)) \ 1)),w) = L(x,R((y \ z) \ z,(y \ z) \ z,u),w).
(x \ L(x,y,x)) \ z = a(x,y,x) * z.
a(x \ 1,y,x) \ z = a(x,y,x) * z.
a(x,y,x \ 1) \ z = a(x \ 1,y,x \ 1) * z.
a(x \ 1,y,x \ 1) * z = a(x,y,x \ 1) \ z.
L(x,((y \ z) * y) * u,w) = L(x,u * z,w).
L(x,R(y,z,u),w) = L(x,(z * u) \ (u * (y * z)),w).
L(x,(y * z) \ (z * (u * y)),w) = L(x,R(u,y,z),w).
L(x,L(T(y,z),z,u),w) = L(x,(z * u) \ (u * (y * z)),w).
L(x,(y * z) \ (z * (u * y)),w) = L(x,L(T(u,y),y,z),w).
L(x,y * L(z,u,u \ 1),w) = L(x,y * ((u * z) * (1 / u)),w).
L(x,y * ((z * u) * (1 / z)),w) = L(x,y * L(u,z,z \ 1),w).
(a(x,y,z) * T(x,u)) * x = a(x,y,z) * (T(x,u) * x).
x \ (x / (1 / y)) = L(y,y \ 1,(y \ 1) \ x).
L(x,x \ 1,(x \ 1) \ y) = y \ (y / (1 / x)).
((x * y) * z) / L(x,y,z) = K(x * y,z) * (z * ((x * y) / x)).
K(x * y,z) * (z * ((x * y) / x)) = ((x * y) * z) / L(x,y,z).
L(x,x \ T(y,z),z) \ (y * z) = T(z * (T(y,z) / x),x).
L(x,x \ (x * y),z) \ (z * (x * y)) = T(z * (y * K(x,y)),x).
x * ((x \ y) / T(y,z)) = L(T(y,z),T(y,z) \ (x \ y),x) \ y.
L(T(x,y),T(x,y) \ (z \ x),z) \ x = z * ((z \ x) / T(x,y)).
L((x * (y * z)) \ (x * y),L(z,y,x),(x * (y * z)) \ (x * y)) = 1 / (1 / ((x * (y * z)) \ (x * y))).
L(x,(y * ((z * y) \ u)) * w,v5) = L(x,(y * ((y * z) \ u)) * w,v5).
L(x,(y * (z \ u)) \ w,v5) = L(x,(y * (u / z)) \ w,v5).
L(x,(y * (z / u)) \ w,v5) = L(x,(y * (u \ z)) \ w,v5).
L(x,(y \ (z \ u)) \ w,v5) = L(x,(y \ (u / z)) \ w,v5).
L(x,(y \ (z / u)) \ w,v5) = L(x,(y \ (u \ z)) \ w,v5).
L(x,((y * z) \ z) \ u,w) = L(x,((z * y) \ z) \ u,w).
L(x,L(y * z,u,w),v5) = L(x,L(z * y,u,w),v5).
L(x,L((y \ z) * y,u,w),v5) = L(x,L(z,u,w),v5).
L(x,L(y \ z,u,w),v5) = L(x,L(((y \ v6) \ v6) \ z,u,w),v5).
L(x,L(((y \ z) \ z) \ u,w,v5),v6) = L(x,L(y \ u,w,v5),v6).
a(L(x \ y,x,y),z,u) = a(L(x \ y,x,x),z,u).
L(x,y \ ((z * T(u,w)) * L(v5,z,T(u,w))),v6) = L(x,y \ (u * (T(z,T(u,w)) * v5)),v6).
L(x,(y * ((z * y) \ u)) \ w,v5) = L(x,(y * ((y * z) \ u)) \ w,v5).
L(x,y * ((z \ u) \ w),v5) = L(x,y * ((u / z) \ w),v5).
L(x,y * ((z / u) \ w),v5) = L(x,y * ((u \ z) \ w),v5).
L(x,y * ((z * u) \ u),w) = L(x,y * ((u * z) \ u),w).
a((x * y) \ (x * x),z,u) = a(L(y \ x,y,y),z,u).
a(L(x \ y,x,x),z,u) = a((y * x) \ (y * y),z,u).
L(x,(T(y,z) * u) * R(a(w,v5,v6),T(y,z),u),v7) = L(x,T(a(w,v5,v6) * y,z) * u,v7).
L(x,L(y,z,z \ 1),u) = L(x,(z * y) * (z \ 1),u).
L(x,(y * z) * (y \ 1),u) = L(x,L(z,y,y \ 1),u).
(x * (K(y,z) / z)) \ x = L(T(z,y),z \ 1,x).
L(T(x,x \ y) \ L(T(x,x \ y),x \ 1,y),T(x,x \ y),z) = R(T(x,x \ y) \ (T(y * (1 / x),x) \ y),T(x,x \ y),z).
K(x,y) * (z * ((z \ K(y,x)) * u)) = L(u,z \ 1,z).
L(x,y * L(z,u,z),w) = L(x,y * z,w).
L(x,y * z,u) = L(x,L(z,w,z) * y,u).
L(x,L(y,z,y) * u,w) = L(x,u * y,w).
L(x,a(y,z,y) \ u,w) = L(x,(y \ u) * y,w).
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,a(y,z,y) * u,w) = L(x,u,w).
L(x,y \ 1,z) = L(x,y \ a(u,w,u),z).
L(x,y \ a(z,u,z),w) = L(x,y \ 1,w).
L(x,R(y,z,y \ 1),u) = L(x,y,u).
L(x,y \ z,u) = L(x,L(y,w,y) \ z,u).
L(x,L(y,z,y) \ u,w) = L(x,y \ u,w).
L(x,y \ (a(z,u,z) \ w),v5) = L(x,y \ w,v5).
L(x,y \ (R(z,u,z) \ w),v5) = L(x,y \ (z \ w),v5).
L(x,R(y \ z,u,w),v5) = L(x,R(L(y,v6,y) \ z,u,w),v5).
L(x,R(L(y,z,y) \ u,w,v5),v6) = L(x,R(y \ u,w,v5),v6).
L(x,y * a(z,u,z),w) = L(x,y,w).
L(x,R(y,z,y) * u,w) = L(x,y * u,w).
L(x,(y \ a(z,u,z)) * w,v5) = L(x,(y \ 1) * w,v5).
L(x,R(y \ 1,z,y),u) = L(x,y \ 1,u).
L(x \ 1,x,L(y,z,x \ 1)) = L(x \ 1,x,y).
L(x,R(y \ a(z,u,z),w,v5),v6) = L(x,R(y,w,v5) \ 1,v6).
L(x,y \ 1,z) = L(x,y \ (y \ L(y,u,y)),z).
L(x,y \ (y \ L(y,z,y)),u) = L(x,y \ 1,u).
L(x,R(y * z,u,y),w) = L(x,y * R(z,u,y),w).
L(x,x \ 1,L(y,z,x)) = L(x,x \ 1,y).
L(x,x \ 1,y \ (x * z)) = L(x,x \ 1,(x \ y) \ z).
L(x,x \ 1,(x \ y) \ z) = L(x,x \ 1,y \ (x * z)).
L(x,x \ 1,x \ y) = L(x,x \ 1,(y \ x) \ 1).
L(x,x \ 1,(y \ x) \ 1) = L(x,x \ 1,x \ y).
L(x,y \ (z \ L(z,u,z)),w) = L(x,y \ 1,w).
L(x,a(y,z,y) \ (u \ 1),w) = L(x,u \ (v5 \ L(v5,v6,v5)),w).
x * (L(y,z,y) * u) != (x * L(y,z,y)) * w | L(u,y,x) = w.
(x * L(y,z,y)) * u != x * (L(y,z,y) * w) | L(w,y,x) = u.
L(x,L(y,z,z \ 1),u) = L(x,R(y,z,z \ 1),u).
L(x,y * (z * (1 / y)),u) = L(x,L(z,y,y \ 1),u).
L(x,L(y,z,z \ 1),u) = L(x,z * ((1 / z) * y),u).
L(x,y * ((1 / y) * z),u) = L(x,L(z,y,y \ 1),u).
L(x,((y / z) * u) * w,v5) = L(x,w * (u * (z \ y)),v5).
L(x,y * (K(z,u) * w),v5) = L(x,w * y,v5).
L(x,y * R(K(z,u) * w,v5,v6),v7) = L(x,R(w,v5,v6) * y,v7).
L(x,y \ R(z \ u,w,v5),v6) = L(x,y \ R(u / z,w,v5),v6).
L(x,y \ R(z / u,w,v5),v6) = L(x,y \ R(u \ z,w,v5),v6).
L(x,y \ (z \ ((u / w) \ v5)),v6) = L(x,y \ (z \ ((w \ u) \ v5)),v6).
R(x,y \ L(y,z,y),u) = x.
R(x,a(y \ 1,z,y),u) = x.
R(x,a(y,z,y \ 1),u) = x.
L(x,a(y,z,y \ 1),u) = x.
(x * a(y,z,y \ 1)) \ u = a(y,z,y \ 1) \ (x \ u).
L(x,a(y,z,u),w) = L(x,(y * (z * u)) \ ((z * y) * u),w).
L(x,(y * (z * u)) \ ((z * y) * u),w) = L(x,a(y,z,u),w).
L(x,y \ L(z,u,u \ 1),w) = L(x,y \ ((u \ 1) * (u * z)),w).
L(x,y \ ((z \ 1) * (z * u)),w) = L(x,y \ L(u,z,z \ 1),w).
L(x,y * (z * (u \ (w / v5))),v6) = L(x,y * (z * (u \ (v5 \ w))),v6).
L(x,y * (z * (y \ 1)),u) = L(x,L(z,y,y \ 1),u).
L(x,((y \ 1) * z) * y,u) = L(x,L(z,y,y \ 1),u).
L(x,x \ 1,(x \ 1) \ y) = L(x,x \ 1,x * y).
L(x,x \ 1,x * y) = y \ (y / (1 / x)).
x * L(y,y \ 1,y * x) = x / (1 / y).
L(x,x \ 1,y) = (x \ y) \ ((x \ y) / (1 / x)).
(x \ y) \ ((x \ y) / (1 / x)) = L(x,x \ 1,y).
(x / y) \ ((x / y) / (1 / y)) = L(y,y \ 1,x).
((x \ y) * x) \ (((x \ y) * x) / (1 / z)) = L(z,z \ 1,z * y).
L(x,x \ 1,x * y) = ((z \ y) * z) \ (((z \ y) * z) / (1 / x)).
L((x \ 1) \ K(y,x),((x \ 1) \ K(y,x)) \ 1,y * ((x \ 1) \ 1)) = y \ (y / (1 / ((x \ 1) \ K(y,x)))).
(((x / (1 / y)) \ x) * (x \ (x / (1 / y)))) \ ((x / (1 / y)) \ x) = 1 / L(y,y \ 1,y * x).
x * L(x \ y,(x \ y) \ 1,y) = x / (1 / (x \ y)).
R(x,y,x \ 1) \ z = a(x,y,x \ 1) \ (x \ z).
a(x,y,x \ 1) \ (x \ z) = R(x,y,x \ 1) \ z.
L(x,y,L(z \ u,w,v5)) = L(x,y,L(L(z,v6,z) \ u,w,v5)).
L(x,y,L(L(z,u,z) \ w,v5,v6)) = L(x,y,L(z \ w,v5,v6)).
L(R(x \ K(y,z),u,x),x,y) = (y * R(x,u,x)) \ T(y,z).
x / L(y,y \ 1,x / y) = y * (y \ (x * (y \ 1))).
x / L(y,y \ 1,x / y) = x * (y \ 1).
x / L(y,y \ 1,y \ x) = x * (y \ 1).
(x * (y \ 1)) \ x = L(y,y \ 1,y \ x).
L(x,x \ 1,x \ y) = (y * (x \ 1)) \ y.
(x \ ((1 / y) \ x)) / y = (x \ ((1 / y) \ x)) * (y \ 1).
(x \ ((1 / y) \ x)) * (y \ 1) = (x \ ((1 / y) \ x)) / y.
L(x,x \ 1,y) = ((x * y) * (x \ 1)) \ (x * y).
((x * y) * (x \ 1)) \ (x * y) = L(x,x \ 1,y).
L(T(x,y),T(x,y) \ 1,T(x,y) \ (x * y)) = ((y * x) * (x \ 1)) \ (x * y).
L((x \ 1) \ 1,x \ 1,x * y) = L(x,x \ 1,y).
L(x,(y * z) \ (z * (u * y)),w) = L(x,L(u,y,z),w).
L(x,L(y,z,u),w) = L(x,R(y,z,u),w).
L(x,L(L(y,z,u),w,v5),v6) = L(x,R(L(y,w,v5),z,u),v6).
(a(x,y,z) * R(u,w,v5)) \ ((R(u,w,v5) * v6) * a(x,y,z)) = L(v6,L(u,w,v5),a(x,y,z)).
L(x,L(y / z,z \ y,z),u) = L(x,(z / y) \ 1,u).
L(x,L(y,z,x),L(u,z,x)) = L(x,y,u).
L(R(x,y,z),L(u,y,z),L(w,y,z)) = L(R(x,y,z),u,w).
R(1 / x,y,z) * (R(x,y,z) * u) = L(u,L(x,y,z),L(x \ 1,y,z)).
L(x,L(y \ 1,z,y),u) = L(x,y \ 1,u).
L(x,L(y * z,u,y),w) = L(x,y * R(z,u,y),w).
L(L(x,y,z),u,w) = L(L(x,u,w),L(y,v5,x),L(z,v5,x)).
L(L(x,y,z),L(u,w,x),L(v5,w,x)) = L(L(x,u,v5),y,z).
L(x,L(y / z,z \ y,z),u) = L(x,(y \ z) \ 1,u).
L(x,(y \ z) \ 1,u) = L(x,L(z \ y,z \ y,z),u).
L(x,L(y \ z,y \ z,y),u) = L(x,(z \ y) \ 1,u).
L(x,L(L(y,z,u),w,v5),v6) = L(x,L(R(y,z,u),w,v5),v6).
L(x,x \ y,z) \ (y * z) = T(z * (T(y,z) / x),x).
L(R(x,x,y) \ x,1 / x,z) \ ((y / (x * y)) * z) = T(z * (T(y / (x * y),z) / (R(x,x,y) \ x)),R(x,x,y) \ x).
T(x * (T(y / (z * y),x) / (R(z,z,y) \ z)),R(z,z,y) \ z) = L(R(z,z,y) \ z,1 / z,x) \ ((y / (z * y)) * x).
L(x,L(L(y,z,y) \ u,w,v5),v6) = L(x,R(y \ u,w,v5),v6).
L(x,R(y \ a(z,u,z),w,v5),v6) = L(x,R(y \ 1,w,v5),v6).
(x * R(y,z,y)) \ T(x,u) = R((x * y) \ T(x,u),z,y).
R((x * y) \ T(x,z),u,y) = (x * R(y,u,y)) \ T(x,z).
(a(x,y,x) * (x * z)) \ z = R((z * x) \ T(z,x),y,x).
R((x * y) \ T(x,y),z,y) = (a(y,z,y) * (y * x)) \ x.
R((x * y) \ y,z,x) = (a(x,z,x) * (x * y)) \ y.
(a(x,y,x) * (x * z)) \ z = R((x * z) \ z,y,x).
a(x,y,x) * R((x * z) \ z,y,x) = (x * z) \ z.
R(a(x,y,x) * ((x * z) \ z),y,x) = (x * z) \ z.
R((L(x,y,x) * z) \ z,y,x) = (x * z) \ z.
R((x * y) \ y,z,u) = R(R((L(x,w,x) * y) \ y,z,u),w,x).
R(R((L(x,y,x) * z) \ z,u,w),y,x) = R((x * z) \ z,u,w).
L(x,L(y \ z,u,w),v5) = L(x,L(L(y,v6,y) \ z,u,w),v5).
L(x,L(L(y,z,y) \ u,w,v5),v6) = L(x,L(y \ u,w,v5),v6).
L(x,L(y \ a(z,u,z),w,v5),v6) = L(x,R(y \ 1,w,v5),v6).
L(x,L(y \ 1,z,u),w) = L(x,L(y \ a(v5,v6,v5),z,u),w).
L(x,L(y \ a(z,u,z),w,v5),v6) = L(x,L(y \ 1,w,v5),v6).
(x / y) \ (K(z,u) * K(w,x)) = (T(x,w) / y) \ K(z,u).
(T(x,y) / z) \ K(u,w) = ((x / z) \ K(u,w)) * K(y,x).
((x / y) \ K(z,u)) * K(w,x) = (T(x,w) / y) \ K(z,u).
(x * (y * z)) / T(z * y,u) = x * (K(y,z) * K(u,z * y)).
K(x,y) * (R(z,u,w) \ z) = (z \ R(z,u,w)) \ K(x,y).
(x \ R(x,y,z)) \ K(u,w) = K(u,w) * (R(x,y,z) \ x).
(x \ R(T(x,y),z,u)) \ 1 = K(y,x) * (R(x,z,u) \ x).
K(x,x \ 1) * (R(x,y,z) \ x) = ((x \ 1) * R(x,y,z)) \ 1.
(x \ R(T(x,y),z,u)) \ 1 = R(T(x,y),z,u) \ x.
a((x \ (y \ (z \ u))) \ w,v5,v6) = a((x \ (y \ (u / z))) \ w,v5,v6).
a((x \ (y \ (z / u))) \ w,v5,v6) = a((x \ (y \ (u \ z))) \ w,v5,v6).
T((K(x,y) / x) * z,x) = (K(x,y) / x) * ((x \ z) * x).
(K(x,y) / x) * ((x \ z) * x) = T((K(x,y) / x) * z,x).
T((K(x,y) / x) * y,x) = (1 / x) * ((x \ y) * T(x,y)).
(1 / x) * ((x \ y) * T(x,y)) = T((K(x,y) / x) * y,x).
(x / (y \ 1)) * (x \ K(x * y,y \ 1)) = ((y \ 1) \ x) * (x \ 1).
a((x * (y \ z)) \ u,w,v5) = a((x * (y \ T(z,v6))) \ u,w,v5).
a((x * (y \ T(z,u))) \ w,v5,v6) = a((x * (y \ z)) \ w,v5,v6).
L(x,y,z \ ((u \ (w \ v5)) \ v6)) = L(x,y,z \ ((u \ (v5 / w)) \ v6)).
L(x,y,z \ ((u \ (w / v5)) \ v6)) = L(x,y,z \ ((u \ (v5 \ w)) \ v6)).
(x \ K(x * y,x \ 1)) \ y = y / (x \ 1).
(x \ (x / (y \ 1))) * x = ((y \ K(y * x,y \ 1)) \ x) * K((y \ K(y * x,y \ 1)) \ 1,x).
((x \ K(x * y,x \ 1)) \ y) * K((x \ K(x * y,x \ 1)) \ 1,y) = (y \ (y / (x \ 1))) * y.
K(x \ (T(y / z,y) / u),w) = K(x \ ((z \ y) / u),w).
K(x \ ((y \ z) / z),u) = K(x \ (z \ (z / y)),u).
K(x \ (y \ (y / (z \ 1))),u) = K((y / (x * y)) * z,u).
K((x / (y * x)) * z,u) = K(((x * y) \ x) * z,u).
K(((x * y) \ x) * T(z,y),u) = K(z / R(y,y,x),u).
K(x / R(y,y,z),u) = K(x * ((z * y) \ z),u).
K(x / R(y,y,z),u) = K(x * L(y \ 1,y,z),u).
K(x * L(y \ 1,y,z),u) = K(x / R(y,y,z),u).
K(x / R(y \ 1,y \ 1,z),u) = K(x * T(L(y,y \ 1,z),1),u).
R(x,y,z) * R(u,x,R(x,y,z) * (x \ 1)) = (x * u) * (x \ R(x,y,z)).
L(x,y,z) * R(u,x,L(x,y,z) * (x \ 1)) = (x * u) * (x \ L(x,y,z)).
(x * y) * (((x * y) \ 1) * (y * x)) = 1 / (1 / (y * x)).
1 / (1 / (x * y)) = L(x * y,(y * x) \ 1,y * x).
L(x * y,(y * x) \ 1,y * x) = 1 / (1 / (x * y)).
x \ (y * (K(z,u) * x)) = K(z,T(u,y * x)) * T(y,x).
K(x,T(y,z * u)) * T(z,u) = u \ (z * (K(x,y) * u)).
K(x,T(y,z * u)) * T(z,u) = T(z * K(x,y),u).
T(x * K(y,z),u) = T(x,u) * K(y,T(z,u)).
T(x,y) * K(z,T(u,y)) = T(x * K(z,u),y).
((x \ (x / y)) \ 1) * K(z,T(u,y)) = T(((x \ (x / y)) \ 1) * K(z,u),y).
T(((x \ (x / y)) \ 1) * K(z,u),y) = ((x \ (x / y)) \ 1) * K(z,T(u,y)).
T(x,T(y * K(y \ z,u),z)) = T(x,z / T(z / y,u)).
T(x,T(y * K(y \ z,u),z)) = T(x,T(y \ z,u) \ z).
T(x,T(T(y,z),u) * (w \ K(z,y))) = T(x,T(y,u) / w).
K(x * (y / ((z * u) / z)),w) = K(x * (y / T(u,z)),w).
K(x * (y / (z / u)),w) = K(x * (y / T(u \ z,u)),w).
K(x * (y / T(z \ u,z)),w) = K(x * (y / (u / z)),w).
T(x,K((y \ z) \ 1,T(u,z)) * (((y \ z) \ 1) \ y)) = T(x,y / T(T((y \ z) \ 1,z),u)).
K(x,L(1 / y,z,u) * w) = K(x,L(y \ 1,z,u) * w).
(x / y) / L(y \ x,z,u) = L(y \ x,z,u) \ (x / y).
L(x \ y,x,y \ (x \ y)) \ (y / x) = ((y / x) / y) / (1 / x).
(x * T(y \ 1,z)) / y = (x / y) * T(1 / y,z).
((x \ 1) * y) / x = (y / x) * T(1 / x,y).
(x / y) * T(1 / y,x) = ((y \ 1) * x) / y.
(x * ((y * y) \ y)) / y = (x / y) * T(1 / y,y).
(1 / x) * T(1 / L(x,y,z),x \ L(x,y,z)) = ((L(x,y,z) \ 1) * (x \ L(x,y,z))) / L(x,y,z).
((L(x,y,z) \ 1) * (x \ L(x,y,z))) / L(x,y,z) = (1 / x) * T(1 / L(x,y,z),x \ L(x,y,z)).
(x * ((y * y) \ y)) / y = (x / y) * (y \ 1).
((x * (y * y)) * ((y * y) \ y)) / y = (x * L(y,y,x)) * (y \ 1).
T(x,y \ (((z * u) / z) * w)) = T(x,y \ (T(u,z) * w)).
T(x,y \ (z * u)) = T(x,y \ (T(u,z) * z)).
T(x,y \ (T(z,u) * u)) = T(x,y \ (u * z)).
T(x,y \ (T(z \ u,w) * z)) = T(x,y \ (z * T(u / z,w))).
K(x,y) * K(T(x,y) * y,z) = (y \ T(x * y,z)) / x.
K(x,y) * K(y * x,z) = (y \ T(x * y,z)) / x.
(x \ T(y * x,z)) / y = K(y,x) * K(x * y,z).
R(K(x,y) * K(y * x,z),x,(y \ T(x * y,z)) \ u) \ u = x * ((y \ T(x * y,z)) \ u).
K(x * (y / (x / z)),x) = K(x * ((x / z) \ y),T(x,z)).
K(x * ((x / y) \ z),T(x,y)) = K(x * (z / (x / y)),x).
T(x,y \ ((1 / z) \ u)) = T(x,T(y * (1 / z),z) \ u).
T(x,T(y * (1 / z),z) \ u) = T(x,y \ ((1 / z) \ u)).
T(x,T(y * (1 / z),z) \ u) = T(x,y \ ((z \ 1) \ u)).
T(x,y \ ((z \ 1) \ u)) = T(x,w * ((y * w) \ (z * u))).
T(x,y * ((z * y) \ (u * w))) = T(x,z \ ((u \ 1) \ w)).
T(x,y * ((z * y) \ u)) = T(x,z \ ((w \ 1) \ (w \ u))).
T(x,y \ ((z \ 1) \ (z \ u))) = T(x,w * ((y * w) \ u)).
T(x,y * (z \ (u * w))) = T(x,(z / y) \ ((u \ 1) \ w)).
T(x,(y / z) \ ((u \ 1) \ w)) = T(x,z * (y \ (u * w))).
T(x,y * ((T(z,u) * y) \ w)) = T(x,u * (z \ (u \ w))).
T(x,y * (z \ (y * u))) = T(x,y * ((y \ z) \ u)).
T(x,y * ((y \ z) \ u)) = T(x,y * (z \ (y * u))).
T(x,y * z) = T(x,y * (u \ (y * ((y \ u) * z)))).
T(x,y * (z \ (y * ((y \ z) * u)))) = T(x,y * u).
T(x,y * L(z,y \ u,y)) = T(x,y * z).
T(x,y * L(z,u,y)) = T(x,y * z).
T(x,y * ((y * z) \ u)) = T(x,y * (z \ (y \ u))).
T(x,R(T(y,z),u,w) \ v5) = T(x,z * (y \ (z \ v5))).
T(x,y * (z \ (y \ z))) = T(x,K(y,z)).
T(x,y * (z \ (y \ z))) = T(x,K(z,y)).
T(x,(y \ (z \ y)) * z) = T(x,K(y,z)).
L(x,y,L(z * (u \ 1),w,u)) = L(x,y,R(z,w,u) * (u \ 1)).
(x / y) * ((y * (x / y)) \ z) = (y \ x) * (x \ z).
(x \ 1) * ((y * (x \ 1)) \ y) = x \ ((y * (1 / x)) \ y).
(x \ ((y * (1 / x)) \ y)) * ((y \ (y * (x \ 1))) \ 1) = (y * (x \ 1)) \ y.
L(x * (y / x),z,u) \ y = L(y,z,u) \ ((x \ y) * x).
x \ (L(y / x,z,u) \ w) = T(x,x \ y) \ (L(x \ y,z,u) \ w).
T(x,x \ y) \ (L(x \ y,z,u) \ w) = x \ (L(y / x,z,u) \ w).
((x * ((y \ z) \ z)) \ x) * ((y \ z) \ z) = ((x * y) \ x) * y.
T(x,y * (z \ ((u \ w) * u))) = T(x,y * (z \ T(w,u))).
T(x,K(y \ z,u) * (w \ T(z,y))) = T(x,w \ (T(y \ z,u) * y)).
T(x,T(T(y,z) / u,z * w)) = T(x,T(y / ((z * u) / z),w)).
T(x,T(y / ((z * u) / z),w)) = T(x,T(T(y,z) / u,z * w)).
K(K(x,x \ y) * z,u) = K(T(y,x) \ ((y \ 1) \ z),u).
K(T(x,y) \ ((x \ 1) \ z),u) = K(K(y,y \ x) * z,u).
K(K(x,x \ y) * z,u) = K(K(y,x) * z,u).
K(K(x,y) * (z * u),w) = K(z * (K(y,y \ x) * u),w).
K(x * (K(y,y \ z) * u),w) = K(K(z,y) * (x * u),w).
K(x * (K(y,y \ x) * z),u) = K(T(x,y) * z,u).
K((x * (y / x)) * z,u) = K(T(y,x) * z,u).
K(T(x,y) * (z / (y \ x)),u) = K(x * (z / T(y \ x,y)),u).
K(T(x * y,x) * z,u) = K((y * x) * z,u).
K(T(x,y) * z,u) = K(((y \ x) * y) * z,u).
K(((x \ y) * x) * z,u) = K(T(y,x) * z,u).
K(((x \ y) * x) * z,T(u,y)) = K(z * T(y,x),u).
K(x * T(y,z),u) = K(x * ((z \ y) * z),u).
K(x * ((y \ z) * y),u) = K(x * T(z,y),u).
T(x,y / ((z / u) / z)) = T(x,((z / u) / y) \ T(z,u)).
T(x,((y / z) / u) \ T(y,z)) = T(x,u / ((y / z) / y)).
T(x,y \ (z * T(u,w))) = T(x,(y / T(u,w * (z \ y))) \ z).
T(x,(y / T(z,u * (w \ y))) \ w) = T(x,y \ (w * T(z,u))).
L((x \ y) * x,z,u) / ((x \ y) * x) = y \ L(y,z,u).
x \ L(x,y,z) = ((u \ x) * u) \ L((u \ x) * u,y,z).
((x \ y) * x) \ L((x \ y) * x,z,u) = y \ L(y,z,u).
L(x,y \ ((z * u) \ ((u * w) * z)),v5) = L(x,y \ L(w,u,z),v5).
L(x,K(y,z) * ((u * y) * w),v5) = L(x,(u * T(y,z)) * w,v5).
L(x,L(y,y \ 1,z) \ u,w) = L(x,L(y,y \ 1,y * z) \ u,w).
L(x,L(y,y \ 1,y * z) \ u,w) = L(x,L(y,y \ 1,z) \ u,w).
(1 / L(x,y,x)) \ L(z,x,x \ 1) = L(x,y,x) * z.
L(x,y \ ((z * u) * w),v5) = L(x,y \ (w * (T(z,v6) * u)),v5).
L(x,y \ (z * (T(u,w) * v5)),v6) = L(x,y \ ((u * v5) * z),v6).
L(x,R(y,z,u) * R(K(w,v5) * v6,z,u),v7) = L(x,R(v6 * y,z,u),v7).
x * (K(y,R(x,z,u)) * K(x,R(x,z,u) * y)) = L(x,y,R(x,z,u)).
((x \ 1) * R(x,y,z)) \ 1 = R(x,y,z) \ T(x,x \ 1).
R(x,y,z) \ T(x,x \ 1) = ((x \ 1) * R(x,y,z)) \ 1.
((x \ 1) * R(x,y,z)) \ 1 = x * R(1 / x,y,z).
1 / (x * R(1 / x,y,z)) = (x \ 1) * R(x,y,z).
((x \ 1) * R(x,x,y)) \ 1 = x * (y / (x * y)).
(x \ (1 / (y / (x * y)))) \ 1 = x * (y / (x * y)).
(x \ 1) * R(x,y,z) = (x * R(1 / x,y,z)) \ 1.
(x * R(1 / x,y,z)) \ 1 = (x \ 1) * R(x,y,z).
1 / (x * (y / (x * y))) = x \ (1 / (y / (x * y))).
(x * ((x \ y) / y)) \ 1 = (x \ 1) * R(x,x,x \ y).
x \ (1 / (y / (x * y))) = (x * (y / (x * y))) \ 1.
(x * (y / (x * y))) \ 1 = x \ (1 / (y / (x * y))).
x \ (1 / ((x \ y) / y)) = (x * ((x \ y) / y)) \ 1.
(x * ((x \ y) / y)) \ 1 = x \ (1 / ((x \ y) / y)).
((x * y) \ x) * y = (y \ 1) \ ((x * ((y \ 1) \ 1)) \ x).
(x \ 1) \ ((y * ((x \ 1) \ 1)) \ y) = ((y * x) \ y) * x.
K(x * (y / T(z \ x,z)),x) = K(x * (y / (z \ x)),x).
K(x * (y / (z \ x)),x) = K(x * (y / (x / z)),x).
K(x * (y / (x / z)),x) = K(x * (y / (z \ x)),x).
K(x * ((x / y) \ z),T(x,y)) = K(x * (z / (y \ x)),x).
K(x * (y / (z \ x)),x) = K(x \ ((x * y) * z),x).
K(x \ ((x * y) * z),x) = K(x * (y / (z \ x)),x).
T(x,(y / T(z,u / w)) \ (y * w)) = T(x,y \ ((y * w) * T(z,u))).
L(x,(y * T(z,u)) * w,v5) = L(x,(y * z) * w,v5).
L(x,(y * (z \ u)) * w,v5) = L(x,(y * (u / z)) * w,v5).
L(x,(y * (z / u)) * w,v5) = L(x,(y * (u \ z)) * w,v5).
(x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x,u,w).
(R(x,y,z) * T(y,x)) \ ((y * x) * z) = L(z,y,L(x,y,z)).
(x * R(y,x,z)) \ ((x * y) * z) = L(z,x,L(y,x,z)).
(x * R(R(y,z,u),x,y \ L(y,w,v5))) \ ((x * R(y,z,u)) * (y \ L(y,w,v5))) = L(y \ L(y,w,v5),x,R(y,z,u)).
(x * R(R(y,z,u),x,L(y,w,v5) \ y)) \ ((x * R(y,z,u)) * (L(y,w,v5) \ y)) = L(L(y,w,v5) \ y,x,R(y,z,u)).
R(x,y,x) / (z * R(x,y,x)) = x / (z * x).
R(x,y,x) / R(z * x,y,x) = x / (R(z,y,x) * x).
x / (R(y,z,x) * x) = R(x / (y * x),z,x).
R(x / (y * x),z,x) = x / (R(y,z,x) * x).
T(R(x / (y * x),z,x),R(y,z,x) * x) = (R(y,z,x) * x) \ x.
T(x,y / T(z,u \ R(w,v5,v6))) = T(x,y / T(z,w * u)).
T(x,y / T(z,u \ w)) = T(x,y / T(z,w * u)).
T(x,y / T(z,u \ 1)) = T(x,y / T(z,u)).
T(x,y / T(z,u / w)) = T(x,y / T(z,u * w)).
L(x,y \ ((z * u) \ (w * u)),v5) = L(x,y \ R(z \ w,z,u),v5).
L(x,y \ R(z \ u,z,w),v5) = L(x,y \ ((z * w) \ (u * w)),v5).
L(x,y \ R(z,u,u \ 1),w) = L(x,y \ ((u \ 1) * (u * z)),w).
L(x,y \ ((z \ 1) * (z * u)),w) = L(x,y \ R(u,z,z \ 1),w).
L(x,L(y,z,z \ 1) \ u,w) = L(x,((z \ 1) * (y * z)) \ u,w).
L(x,((y \ 1) * (z * y)) \ u,w) = L(x,L(z,y,y \ 1) \ u,w).
L(x,y * L(z,u,u \ 1),w) = L(x,y * ((u * z) * (u \ 1)),w).
L(x,y * ((z * u) * (z \ 1)),w) = L(x,y * L(u,z,z \ 1),w).
((x * y) * z) / L(x,y,z) = z * (K(x * y,z) * ((x * y) / x)).
x * (K(y * z,x) * ((y * z) / y)) = ((y * z) * x) / L(y,z,x).
L(x,y,z) \ (z * (x * y)) = T(z * (y * K(x,y)),x).
L(T(x,y),x \ (z \ x),z) \ x = z * ((z \ x) / T(x,y)).
((x \ y) * x) \ (((x \ y) * x) / (1 / (z \ 1))) = L(z \ 1,z,(z \ 1) * y).
L(x \ 1,x,(x \ 1) * y) = ((z \ y) * z) \ (((z \ y) * z) / (1 / (x \ 1))).
L(x \ y,x,y \ (x \ y)) \ (y / x) = ((y / x) / y) * x.
(R(x,y * y,y \ 1) * y) / y = (x * L(y,y,x)) * (y \ 1).
(x * L(y,y,x)) * (y \ 1) = R(x,y * y,y \ 1).
a(x,y,z) = a(x,K(u,w) * y,z).
a(x,K(y,z) * u,w) = a(x,u,w).
a(x,T(y,z),u) = a(x,y,u).
a(x,y * z,u) = a(x,z * y,u).
a(x,T(y,z) * u,w) = a(x,y * u,w).
a(x,y \ z,u) = a(x,T(y,w) \ z,u).
a(x,T(y,z) \ u,w) = a(x,y \ u,w).
a(x,(y \ z) \ z,u) = a(x,y,u).
a(x,(y \ z) * y,u) = a(x,z,u).
a(x,y / z,u) = a(x,z \ y,u).
a(x,(y * z) * u,w) = a(x,(z * y) * u,w).
a(x,(y * z) / u,w) = a(x,(z * y) / u,w).
a(x,(y \ z) * u,w) = a(x,(z / y) * u,w).
a(x,(y / z) * u,w) = a(x,(z \ y) * u,w).
a(x,(T(y,z) * u) * w,v5) = a(x,(y * u) * w,v5).
a(x,(y / z) \ u,w) = a(x,(z \ y) \ u,w).
a(x,y \ z,u) = a(x,((y \ w) \ w) \ z,u).
a(x,((y \ z) \ z) \ u,w) = a(x,y \ u,w).
a(x,(y * z) * (y \ 1),u) = a(x,R(z,y,y \ 1),u).
a(x,((1 / y) * z) * y,u) = a(x,R(z,y,y \ 1),u).
a(x,R((y \ z) \ z,u,w) \ v5,v6) = a(x,R(y,u,w) \ v5,v6).
a(x,y * K(z,u),w) = a(x,y,w).
a(x,L(T(y,z),u,w),v5) = a(x,L(y,u,w),v5).
a(x,L(y / z,u,w) * v5,v6) = a(x,L(z \ y,u,w) * v5,v6).
a(x,y \ (K(z,u) * w),v5) = a(x,y \ w,v5).
a(x,y \ K(z,u),w) = a(x,y \ 1,w).
a(x,y \ T(z,u),w) = a(x,y \ z,w).
a(x,((y \ z) * y) \ u,w) = a(x,z \ u,w).
a(x,(y * z) \ u,w) = a(x,(y * T(z,v5)) \ u,w).
a(x,(y * T(z,u)) \ w,v5) = a(x,(y * z) \ w,v5).
a(x,(y \ z) \ u,w) = a(x,(y \ T(z,v5)) \ u,w).
a(x,(y \ T(z,u)) \ w,v5) = a(x,(y \ z) \ w,v5).
a(x,(T(y,z) \ u) \ w,v5) = a(x,(y \ u) \ w,v5).
a(x,(y \ (K(z,u) * w)) * v5,v6) = a(x,(y \ w) * v5,v6).
a(x,L(K(y,z) * u,w,v5),v6) = a(x,L(u,w,v5),v6).
a(x,y \ (z / (y \ 1)),u) = a(x,(z / y) / (1 / y),u).
a(x,(y / z) / (1 / z),u) = a(x,z \ (y / (z \ 1)),u).
a(T(x,y),T(z,u),w) = a(x,z,w).
a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x.
a(x,y,K(z,y) * u) = a(x,y,u).
a(x,y * (z * u),w) = a(x,L(u,z,y) * (y * z),w).
a(x,L(y,z,u) * (u * z),w) = a(x,u * (z * y),w).
a(x,L(y,z,z \ 1),u) = a(x,(z * y) * (1 / z),u).
a(x,(y * z) * (1 / y),u) = a(x,L(z,y,y \ 1),u).
a(x,K(y,z) * (u * w),v5) = a(x,w * (K(y,z) * u),v5).
(x * y) * a(x,z \ y,z) = (x * (y / z)) * z.
a(x,y,z) = (x * ((y * K(u,w)) * z)) \ ((x * (y * K(u,w))) * z).
(x * ((y * K(z,u)) * w)) \ ((x * (y * K(z,u))) * w) = a(x,y,w).
a(x,y * T(z,u),w) = a(x,y * z,w).
a(x,y * (z * K(u,w)),v5) = a(x,y * z,v5).
a(x,y \ (z * u),w) = a(x,y \ (u * z),w).
a(x,y * (z \ u),w) = a(x,y * (u / z),w).
a(x,y * (z / u),w) = a(x,y * (u \ z),w).
a(x,y \ ((z \ u) \ u),w) = a(x,y \ z,w).
a(x,y \ (z / u),w) = a(x,y \ (u \ z),w).
a(x,y \ (z * T(u,w)),v5) = a(x,y \ (z * u),v5).
a(x,y \ (z \ T(u,w)),v5) = a(x,y \ (z \ u),v5).
a(x,(y \ z) * K(u,z),w) = a(x,y \ L(z,u,z),w).
a(x,L(y * K(z,u),w,v5),v6) = a(x,L(y,w,v5),v6).
a(x,y,z) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = a(x,y,z).
a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)).
a(x,y,z \ u) = a(x,y,u / z).
a(x,y,z / u) = a(x,y,u \ z).
a(x,y,(z \ u) \ u) = a(x,y,z).
a(x,y,L((z \ u) \ u,w,v5)) = a(x,y,L(z,w,v5)).
a(x,y,R(z,u,u \ 1)) = a(x,y,(u * z) * (u \ 1)).
a(x,y,(z * u) * (z \ 1)) = a(x,y,R(u,z,z \ 1)).
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,y).
a(x,y,z) = (x * (z * y)) \ ((x * y) * T(z,y)).
a(x,y,R(z,u,u \ 1)) = a(x,y,((1 / u) * z) * u).
a(x,y,((1 / z) * u) * z) = a(x,y,R(u,z,z \ 1)).
a(x,y,z \ (u * L(z,w,v5))) = a(x,y,(u / z) * L(z,w,v5)).
a(x,y,z) = a(x,y,z * K(u,z)).
a(x,y,z * K(u,z)) = a(x,y,z).
a(x,y,L(z,u,z)) = a(x,y,z * K(u,z)).
a(x,y,z * K(u,z)) = a(x,y,L(z,u,z)).
(L(x,y,y \ z) * z) \ (x * z) = a(z / y,y,x).
((x * y) * T(z,y)) / (x * (z * y)) = a(x,y,z).
a(x,y,z) = ((x * y) * T(z,y)) / (x * (z * y)).
T((x * y) / (T(x,y) * a(z,u,w)),T(x,y)) = (x * a(z,u,T(w,v5))) \ (y * x).
a(x,y,K(z,u) * (w * z)) = a(x,y,w * T(z,u)).
a(x,y,L(z,u,w) \ (v5 * z)) = a(x,y,z * (L(z,u,w) \ v5)).
T(x,y) \ a(z \ 1,T(x,y) \ z,x) = T((1 / z) * (z / T(x,y)),x).
a(x,y,K(z,u) * (w * (v5 / u))) = a(x,y,w * (v5 / T(u,z))).
a(x,y,z * y) = a(x,y,y * z).
a(x,y,(y \ z) * y) = a(x,y,z).
a(L(x / (y / z),z \ y,z),u,y \ (x * z)) = a(x / (y / z),u,x / (y / z)).
a(x,y,T(z / u,w)) = a(x,y,u \ z).
a(x,R(y,z,z \ 1) * u,w) = a(x,((z * y) * (z \ 1)) * u,w).
a(x,((y * z) * (y \ 1)) * u,w) = a(x,R(z,y,y \ 1) * u,w).
a(x,(K(y,z) * (u * y)) * w,v5) = a(x,(u * T(y,z)) * w,v5).
a(x,((y \ 1) * (z * y)) * u,w) = a(x,((y \ 1) * (y * z)) * u,w).
a(x,L((y \ z) \ z,u,w) \ v5,v6) = a(x,L(y,u,w) \ v5,v6).
a(x,(y \ (z / (y \ 1))) \ u,w) = a(x,((z / y) / (1 / y)) \ u,w).
a(x,((y / z) / (1 / z)) \ u,w) = a(x,(z \ (y / (z \ 1))) \ u,w).
a(x,((y * z) * (1 / z)) \ u,w) = a(x,((z * y) * (1 / z)) \ u,w).
a(x,(y \ (K(z,u) * w)) \ v5,v6) = a(x,(K(z,u) * (w / y)) \ v5,v6).
a(x,((y \ L(z,u,z)) \ z) \ w,v5) = a(x,(a(z,u,z) * y) \ w,v5).
a(x,y * L(z,u,z),w) = a(x,y * (z * K(u,z)),w).
a(x,y * (z * K(u,z)),w) = a(x,y * L(z,u,z),w).
a(x,y,z \ (u / (z \ 1))) = a(x,y,(1 / z) \ (u / z)).
a(x,y,(1 / z) \ (u / z)) = a(x,y,z \ (u / (z \ 1))).
a(x,y,L(z,u,z)) = a(x,y,z).
a(x,y,z) * u = u * a(x,y,L(z,w,z)).
x * a(y,z,L(u,w,u)) = a(y,z,u) * x.
a(x,(((1 / y) * z) * y) * u,w) = a(x,(T(y \ 1,z) * (z * y)) * u,w).
a(x,(T(y \ 1,z) * (z * y)) * u,w) = a(x,(((1 / y) * z) * y) * u,w).
a(x,((y * (z \ 1)) * z) * u,w) = a(x,(T(z \ 1,z) * (y * z)) * u,w).
a(x,(T(y \ 1,y) * (z * y)) * u,w) = a(x,((z * (y \ 1)) * y) * u,w).
a(x,(y * z) / u,w) = a(x,u \ (z * y),w).
a(x,(y * R(y \ z,u,y)) \ w,v5) = a(x,(R(z \ y,u,y) \ y) \ w,v5).
a(x,(R(y \ z,u,z) \ z) \ w,v5) = a(x,(z * R(z \ y,u,z)) \ w,v5).
a(x,L(y \ z,u,w),v5) = a(x,L(z / y,u,w),v5).
a(x,L(y / z,u,w),v5) = a(x,L(z \ y,u,w),v5).
a(x,y \ (z \ u),w) = a(x,y \ (T(z,v5) \ u),w).
a(x,y \ (T(z,u) \ w),v5) = a(x,y \ (z \ w),v5).
a(x,y \ ((z * u) * w),v5) = a(x,y \ ((u * z) * w),v5).
a(x,(y * z) \ u,w) = a(x,(z * y) \ u,w).
a(x,y \ ((z / u) \ w),v5) = a(x,y \ ((u \ z) \ w),v5).
a(x,(T(y,z) * u) \ w,v5) = a(x,(y * u) \ w,v5).
a(x,((y / z) * u) \ w,v5) = a(x,((z \ y) * u) \ w,v5).
a(x,((y / z) \ u) \ w,v5) = a(x,((z \ y) \ u) \ w,v5).
a(x,((y * z) * (1 / y)) \ u,w) = a(x,L(z,y,y \ 1) \ u,w).
a(x,y * R(z * K(u,w),v5,v6),v7) = a(x,y * R(z,v5,v6),v7).
a(x,y \ L(z,u,u \ 1),w) = a(x,y \ ((u * z) * (1 / u)),w).
a(x,y \ ((z * u) * (1 / z)),w) = a(x,y \ L(u,z,z \ 1),w).
a(x,y * R(z * K(u,z),u,w),v5) = a(x,y * ((u * w) \ ((u * z) * w)),v5).
a(x,y \ ((z / (1 / u)) / u),w) = a(x,y \ ((K(u,u \ 1) / u) \ (z / u)),w).
a(x,y \ ((K(z,z \ 1) / z) \ (u / z)),w) = a(x,y \ ((u / (1 / z)) / z),w).
a(x,y,L(L(T(z,u),w,v5),v6,v7)) = a(x,y,L(L(z,w,v5),v6,v7)).
a(x,y,L(z \ u,w,v5)) = a(x,y,L(u / z,w,v5)).
a(x,y,L(z / u,w,v5)) = a(x,y,L(u \ z,w,v5)).
a(x,y,z \ (u * (w * (u \ z)))) = a(x,y,L(w,u \ z,u)).
a(x,R(y,z,u),w) = a(x,(z * u) \ (u * (y * z)),w).
a(x,(y * z) \ (z * (u * y)),w) = a(x,R(u,y,z),w).
a(x,L(T(y,z),z,u),w) = a(x,(z * u) \ (u * (y * z)),w).
a(x,(y * z) \ (z * (u * y)),w) = a(x,L(T(u,y),y,z),w).
((1 / x) * y) * a(x \ 1,z \ y,z) = ((1 / x) * (y / z)) * z.
a(a(x,y,z),u,w) = (a(x,y,z) * (w * u)) \ (w * (a(x,y,z) * u)).
(a(x,y,z) * (u * w)) \ (u * (a(x,y,z) * w)) = a(a(x,y,z),w,u).
a(x,(y * ((z * y) \ u)) * w,v5) = a(x,(y * ((y * z) \ u)) * w,v5).
a(x,(y * (z \ u)) \ w,v5) = a(x,(y * (u / z)) \ w,v5).
a(x,(y * (z / u)) \ w,v5) = a(x,(y * (u \ z)) \ w,v5).
a(x,(y \ (z \ u)) \ w,v5) = a(x,(y \ (u / z)) \ w,v5).
a(x,(y \ (z / u)) \ w,v5) = a(x,(y \ (u \ z)) \ w,v5).
a(x,((y * z) \ z) \ u,w) = a(x,((z * y) \ z) \ u,w).
a(x,(((y \ z) \ z) \ u) \ w,v5) = a(x,(y \ u) \ w,v5).
a(x,L((y / z) \ u,w,v5),v6) = a(x,L((z \ y) \ u,w,v5),v6).
a(x,y \ (z * (u \ w)),v5) = a(x,y \ (z * (w / u)),v5).
a(x,y \ (z * (u / w)),v5) = a(x,y \ (z * (w \ u)),v5).
a(x,y \ (z \ (u \ w)),v5) = a(x,y \ (z \ (w / u)),v5).
a(x,y \ (z \ (u / w)),v5) = a(x,y \ (z \ (w \ u)),v5).
(L(x,y,y \ z) * z) \ (x * z) = a(y \ z,y,x).
a(x,y \ (z / T(u,w)),v5) = a(x,y \ (u \ z),v5).
a(x,(y * ((z * y) \ u)) \ w,v5) = a(x,(y * ((y * z) \ u)) \ w,v5).
(L(x,y / (z * y),R(T(z,u),z,y)) * K(z,u)) \ (x * K(z,u)) = a((y / (z * y)) \ K(z,u),y / (z * y),x).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = (L(u,x / (y * x),R(T(y,z),y,x)) * K(y,z)) \ (u * K(y,z)).
a(x,L(y,z,z \ 1),u) = a(x,(z * y) * (z \ 1),u).
a(x,(y * z) * (y \ 1),u) = a(x,L(z,y,y \ 1),u).
a(x,y \ L(z,u,z),w) = a(x,y \ z,w).
a(x,y \ z,u) = a(x,y \ R(z,w,z),u).
a(x,y \ R(z,u,z),w) = a(x,y \ z,w).
a(x,L(R(y,z,u),w,y),v5) = a(x,(R(y,z,u) \ y) \ y,v5).
a(x,R(y \ z,u,z),w) = a(x,R(y,u,z) \ z,w).
a(x,y * L(z,u,z),w) = a(x,y * z,w).
a(x,R(L(y,z,y),L(y,z,y),u),w) = a(x,(L(y,z,y) \ ((u / (L(y,z,y) * u)) \ 1)) * y,w).
a(x,(L(y,z,y) \ ((u / (L(y,z,y) * u)) \ 1)) * y,w) = a(x,R(L(y,z,y),L(y,z,y),u),w).
a(x,y * z,u) = a(x,y * R(z,w,z),u).
a(x,y * R(z,u,z),w) = a(x,y * z,w).
a(x,y * z,u) = a(x,L(z,w,z) * y,u).
a(x,L(y,z,y) * u,w) = a(x,u * y,w).
a(x,R(y * z,u,z),w) = a(x,R(y,u,z) * z,w).
a(x,a(y,z,y) \ u,w) = a(x,(y \ u) * y,w).
a(x,a(y,z,y) \ u,w) = a(x,u,w).
a(x,y \ (a(z,u,z) \ w),v5) = a(x,y \ w,v5).
a(x,R(y,z,y) \ u,w) = a(x,y \ u,w).
a(x,L(y,z,z \ 1),u) = a(x,R(y,z,z \ 1),u).
a(x,L((y / z) \ 1,z,z \ 1),u) = a(x,(y * (z \ 1)) \ 1,u).
a(x,((1 / y) * z) * y,u) = a(x,L(z,y,y \ 1),u).
a(x,L(y,z,z \ 1),u) = a(x,z * ((1 / z) * y),u).
a(x,y * ((1 / y) * z),u) = a(x,L(z,y,y \ 1),u).
a(x,(y \ (z / u)) * w,v5) = a(x,(y \ (u \ z)) * w,v5).
a(x,((T(y,z) * u) \ w) * v5,v6) = a(x,((y * u) \ w) * v5,v6).
a(x,y \ (z / (y \ 1)),u) = a(x,(1 / y) \ (z / y),u).
a(x,(1 / y) \ (z / y),u) = a(x,y \ (z / (y \ 1)),u).
a(x,y * (K(z,u) * w),v5) = a(x,w * y,v5).
a(x,y * R(K(z,u) * w,v5,v6),v7) = a(x,R(w,v5,v6) * y,v7).
a(x,y * ((z \ u) \ u),w) = a(x,z * y,w).
a(x,y * (z \ u),w) = a(x,(((z \ v5) \ v5) \ u) * y,w).
a(x,(((y \ z) \ z) \ u) * w,v5) = a(x,w * (y \ u),v5).
a(x,y * (R(T(z,u),w,v5) / v6),v7) = a(x,(R(z,w,v5) / v6) * y,v7).
a(x,y * (L(T(z,u),w,v5) / v6),v7) = a(x,(L(z,w,v5) / v6) * y,v7).
a(x,y * (((z \ u) * z) \ w),v5) = a(x,(u \ w) * y,v5).
a(x,y * L(K(z,u) * w,v5,v6),v7) = a(x,L(w,v5,v6) * y,v7).
a(x,(y * R(z,y,u)) \ w,v5) = a(x,(((y * u) \ ((y * z) * u)) * y) \ w,v5).
a(x,(((y * z) \ ((y * u) * z)) * y) \ w,v5) = a(x,(y * R(u,y,z)) \ w,v5).
a(x,((y / z) / u) \ w,v5) = a(x,(u \ (z \ y)) \ w,v5).
a(x,y \ (z / (y \ 1)),u) = a(x,(1 / y) \ (y \ z),u).
a(x,(1 / y) \ (y \ z),u) = a(x,y \ (z / (y \ 1)),u).
a(x,y * ((z * u) \ w),v5) = a(x,((u * z) \ w) * y,v5).
a(x,((y * z) \ u) * w,v5) = a(x,w * ((z * y) \ u),v5).
a(x,y \ (z / (y \ 1)),u) = a(x,(y \ 1) \ (y \ z),u).
a(x,(y \ 1) \ (y \ z),u) = a(x,y \ (z / (y \ 1)),u).
a(x,(y \ 1) \ (y \ z),u) = a(x,y \ ((y \ 1) \ z),u).
a(x,(y * z) \ (z * (u * y)),w) = a(x,L(u,y,z),w).
a(x,L(y,z,u),w) = a(x,R(y,z,u),w).
a(x,L(y,z,u),x) = a(x,y,x).
a(R(x,y,z),L(x \ 1,y,z),u) \ u = L(u,R(x,y,z) \ 1,R(x,y,z)).
a(x,L(y \ z,u,z),w) = a(x,R(y,u,z) \ z,w).
a(x,L(y * z,u,z),w) = a(x,R(y,u,z) * z,w).
a(x,y,x) \ x = L(x,L(y,z,u),x).
L(x,L(y,z,u),x) = a(x,y,x) \ x.
L(x,L(y,z,u),x) = L(x,y,x).
L(R(x,y,z),L(u,w,v5),x) = R(L(x,u,x),y,z).
L(x,(y * z) \ u,x) = L(x,z \ (y \ u),x).
L(x,y \ (z * u),x) = L(x,(z \ y) \ u,x).
L(x,(y \ z) \ u,x) = L(x,z \ (y * u),x).
L(x,y,z) * T(u,u * x) = L(u,L(x,w,v5),u) * L(x,y,z).
L(x,L(y,z,u),x) * L(y,w,v5) = L(y,w,v5) * T(x,x * y).
L(x,y \ (z \ u),x) = L(x,(y * z) \ u,x).
L(x,(y * z) \ u,x) = L(x,y \ (z \ u),x).
L(x,((y * z) \ (y * (z * u))) \ u,x) = L(x,a(y,z,u),x).
L(x,(y \ 1) \ z,x) = L(x,y * z,x).
L(x \ 1,x * y,x \ 1) = R(1 / x,y,x).
L(x,(y \ 1) * z,x) = L(x,y \ z,x).
L(x,y \ z,x) = L(x,z * (1 / y),x).
L(x,y * (1 / z),x) = L(x,z \ y,x).
(x * (1 / y)) * T(z,z * (x * (1 / y))) = L(z,y \ x,z) * (x * (1 / y)).
(x * ((y * (1 / z)) * x)) / x = L(x,z \ y,x) * (y * (1 / z)).
(x \ L(x,y \ z,x)) \ x = R(x,z * (1 / y),x).
L(x,y \ (z \ u),x) = L(x,z \ (y \ u),x).
L(x \ 1,y,x \ 1) = R(1 / x,x \ y,x).
R(1 / x,x \ y,x) = L(x \ 1,y,x \ 1).
L((x / y) \ 1,x,(x / y) \ 1) = R(1 / (x / y),y,x / y).
R(1 / (x / y),y,x / y) = L((x / y) \ 1,x,(x / y) \ 1).
L(x,y \ ((z \ 1) \ u),x) = L(x,z * (y \ u),x).
R(x,(x \ 1) \ y,x \ 1) = L((x \ 1) \ 1,y,(x \ 1) \ 1).
L(x \ 1,y,x \ 1) \ 1 = R(x,x \ y,x).
R(x,x \ y,x) = L(x \ 1,y,x \ 1) \ 1.
L(x \ 1,y,x \ 1) = 1 / ((x \ y) \ T(y,x)).
1 / ((x \ y) \ T(y,x)) = L(x \ 1,y,x \ 1).
(((1 / x) * (y / x)) * x) / y = L(x \ 1,y,x \ 1).
L((x * y) \ 1,y,(x * y) \ 1) \ 1 = R(x * y,x \ 1,x * y).
R(x * y,x \ 1,x * y) = L((x * y) \ 1,y,(x * y) \ 1) \ 1.
L(R(x,y,z),u,x) = L(R(x,y,z),L(u,w,v5),x).
L(R(x,y,z),L(u,w,v5),x) = L(R(x,y,z),u,x).
a(x,L(y * z,y,z),u) = a(x,y \ ((y * y) * z),u).
R(x,y * (1 / z),x) = R(x,z \ y,x).
L(x,y * ((z * u) \ w),x) = L(x,u \ (z \ ((y \ 1) \ w)),x).
L(x,y \ (z \ ((u \ 1) \ w)),x) = L(x,u * ((z * y) \ w),x).
a(x,L(R(y,z,u),w,y),v5) = a(x,R(y,z,u),v5).
L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x).
L(x,L(y,z,u) \ y,x) = x.
T(x * (L(y,z,u) \ y),x) = (L(y,z,u) \ y) * x.
T(T(T(x,L(y,z,u) \ y),w) * (L(y,z,u) \ y),T(T(x,L(y,z,u) \ y),w)) = T(x,w) * (L(y,z,u) \ y).
(x * y) \ (y * T(T(x,y) * (L(z,u,w) \ z),T(x,y))) = L(T(L(z,u,w) \ z,T(x,y)),x,y).
a(x,K(y,z) * ((u * y) * w),v5) = a(x,(u * T(y,z)) * w,v5).
a(x,L(y * K(z * y,T(u,w)),z,T(u,w)) * v5,v6) = a(x,((u * z) \ ((z * y) * T(u,w))) * v5,v6).
T(x,x * L(y,z,u)) = T(x,x * y).
T(x,x * ((y * z) \ (y * u))) = T(x,x * (z \ u)).
T(x,x * ((y * z) \ y)) = T(x,L(z,y,u) \ x).
T(x,L(y,z,u) \ x) = T(x,x * ((z * y) \ z)).
T(x,L(y,z,u) \ x) = T(x,y \ x).
T(T(x,y \ x) / L(y,z,u),x) = x / L(y,z,u).
T(x / L(L(x,y,z),u,w),x) = x / L(L(x,y,z),u,w).
x / L(L(x,y,z),u,w) = L(L(x,y,z),u,w) \ x.
L((x / y) \ 1,x,(x / y) \ 1) = R(1 / (x / y),y,y \ x).
R(1 / (x / y),y,y \ x) = L((x / y) \ 1,x,(x / y) \ 1).
R(x \ 1,((x \ 1) \ 1) \ y,(x \ 1) \ 1) = L((x * x) \ x,y,((x \ 1) \ 1) \ 1).
a(x,(y * T(z,u)) * w,v5) = a(x,(y * z) * w,v5).
a(x,(y * (z \ u)) * w,v5) = a(x,(y * (u / z)) * w,v5).
a(x,(y * (z / u)) * w,v5) = a(x,(y * (u \ z)) * w,v5).
L((x / y) \ 1,x,(x / y) \ 1) = 1 / (y \ T(x,y \ x)).
1 / (x \ T(a(y,z,u),x \ a(y,z,u))) = T((a(y,z,u) / x) \ 1,x).
(R(x,y,z) * z) \ z = T(R(z / (x * z),y,z),x * z).
T(R(x / (y * x),z,x),y * x) = (R(y,z,x) * x) \ x.
R(T(x / (y * x),y * x),z,x) = (R(y,z,x) * x) \ x.
R((x * y) \ y,z,y) = (R(x,z,y) * y) \ y.
L(x,y \ R(z \ (z * u),z,z),w) = L(x,y \ L(u,z,z),w).
L(x,y \ R(z,u,u),w) = L(x,y \ L(z,u,u),w).
L(x,y \ L(z,u,u),w) = L(x,y \ R(z,u,u),w).
L(x,(y \ R(z,u,u)) \ L(z,u,u),w) = L(x,y,w).
L(x,L(y \ z,y,z \ R(u,w,w)) \ L(u,w,w),v5) = L(x,(R(u,w,w) / z) * y,v5).
L(x,y \ R(z,u,u \ 1),w) = L(x,y \ L(z,u,u \ 1),w).
L(x,y \ L(z,u,u \ 1),w) = L(x,y \ R(z,u,u \ 1),w).
L(x,y \ L(y,z,z \ 1),u) = L(x,a(y,z,z \ 1),u).
L(x,L(y,z,z \ 1) \ u,w) = L(x,R(y,z,z \ 1) \ u,w).
L(x,L(y,z,z \ 1) \ y,u) = L(x,a(y \ 1,z,z \ 1),u).
L(x,a(y \ 1,z,z \ 1),u) = L(x,L(y,z,z \ 1) \ y,u).
L(x,a(y \ 1,z,z \ 1),u) = L(x,a(z \ 1,z,y),u).
L(x,y * L(z,u,u \ 1),w) = L(x,y * R(z,u,u \ 1),w).
L(x,y * (((1 / z) * u) * z),w) = L(x,y * L(u,z,z \ 1),w).
x * (T(y * z,x) / y) = ((y * z) * x) / L(y,z,x).
((x * y) * z) / L(x,y,z) = z * (T(x * y,z) / x).
T(x,(y \ z) \ (T(u * w,y) / u)) = T(x,z \ (((u * w) * y) / L(u,w,y))).
T(x,y \ (((z * u) * w) / L(z,u,w))) = T(x,(w \ y) \ (T(z * u,w) / z)).
(x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y,w).
a(x,R(y,z,z \ 1) * u,w) = a(x,((z \ 1) * (z * y)) * u,w).
a(x,((y \ 1) * (y * z)) * u,w) = a(x,R(z,y,y \ 1) * u,w).
a(x,y \ L(z,u,u \ 1),w) = a(x,y \ ((z * u) * (1 / u)),w).
a(x,y \ ((z * u) * (1 / u)),w) = a(x,y \ L(z,u,u \ 1),w).
((1 / x) * (y / x)) * x = a(x,x \ y,x) \ ((1 / x) * y).
a(x,x \ y,x) \ ((1 / x) * y) = ((1 / x) * (y / x)) * x.
((1 / x) * (y / x)) * x = (1 / x) * (a(x,x \ y,x) \ y).
(1 / x) * (a(x,x \ y,x) \ y) = ((1 / x) * (y / x)) * x.
(1 / x) * ((x \ y) * T(x,y)) = ((1 / x) * (y / x)) * x.
((1 / x) * (y / x)) * x = T((K(x,y) / x) * y,x).
T((K(x,y) / x) * y,x) = ((1 / x) * (y / x)) * x.
T((K(x * y,y) / (x * y)) * y,x * y) = ((1 / (x * y)) * R(1 / x,x,y)) * (x * y).
T((K(x * y,y) / (x * y)) * y,x * y) = ((1 / (x * y)) * T(y / (x * y),K(x,z))) * (x * y).
a(x,(y * (z \ 1)) \ 1,u) = a(x,L((z \ y) \ 1,z,z \ 1),u).
a(x,L((y \ z) \ 1,y,y \ 1),u) = a(x,(z * (y \ 1)) \ 1,u).
(x * R(y,x \ 1,x)) / x = L(x,x \ y,x) * (y * (1 / x)).
L(x,x \ y,x) * (y * (1 / x)) = (x * R(y,x \ 1,x)) / x.
a(x,y \ L(z,u,u \ 1),w) = a(x,y \ ((z * u) * (u \ 1)),w).
a(x,y \ ((z * u) * (u \ 1)),w) = a(x,y \ L(z,u,u \ 1),w).
a(x,y \ R(z,u,u \ 1),w) = a(x,y \ L(z,u,u \ 1),w).
a(x,y \ L(z,u,u \ 1),w) = a(x,y \ R(z,u,u \ 1),w).
a(x,y \ L(y,z,z \ 1),u) = a(x,a(y,z,z \ 1),u).
T(T(x,y),x \ 1) * K(z,T(x,y) \ 1) = T(T(x,y) \ 1,z) \ 1.
T(K(x,T(y,z)) * K(u,w),u) = (z * u) \ (K(x,y) * (z * T(u,w))).
(x * y) \ (K(z,u) * (x * T(y,w))) = T(K(z,T(u,x)) * K(y,w),y).
T(x,y * (K(z \ y,z) * K(u,w))) = T(x,K(u,w) * T(y,z)).
T(x,T(K(y,z) * u,w)) = T(x,u * (K(w \ u,w) * K(y,z))).
T(x,y * (K(z \ y,z) * K(u,w))) = T(x,T(K(u,w) * y,z)).
T(x,((y \ z) * y) * K(u,w)) = T(x,T(K(u,w) * z,y)).
T(x,T(K(y,z) * u,w)) = T(x,(w \ u) * (w * K(y,z))).
T(x,(y \ z) * (y * K(u,w))) = T(x,T(K(u,w) * z,y)).
(x / (y * x)) * ((1 / y) \ (z * (y \ 1))) = z * (x / (T(y,y \ 1) * x)).
T(x,K(y,z) * (u \ T(z * y,w))) = T(x,u \ T(y * z,w)).
K(x,T(y,z * (u \ z))) * (z / (z * u)) = (z / (z * u)) * K(x,y).
a((x * ((y * x) \ z)) \ u,w,v5) = a((((x * y) \ z) * x) \ u,w,v5).
a((((x * y) \ z) * x) \ u,w,v5) = a((x * ((y * x) \ z)) \ u,w,v5).
((x \ y) * (a(z,u,w) \ x)) / (x \ y) = a(z,u,w) \ (y / (y / x)).
K(x,y \ (R(z,u,w) / v5)) = K(x,T(z / (y * v5),v5 * z)).
K(x,T(y / (z * u),u * y)) = K(x,z \ (R(y,w,v5) / u)).
K(x,y \ (R(z,u,w) / v5)) = K(x,y \ (z / v5)).
K(x,y \ ((z \ u) / w)) = K(x,y \ (T(u / z,u) / w)).
K(x,y \ (T(z / u,z) / w)) = K(x,y \ ((u \ z) / w)).
K(x,y \ ((z \ u) / u)) = K(x,y \ (u \ (u / z))).
K(x,y \ (z \ (z / (1 / u)))) = K(x,(z / (y * z)) * u).
K(x,(y / (z * y)) * u) = K(x,((y * z) \ y) * u).
K(x,R(y,y,z) \ u) = K(x,((z * y) \ z) * u).
K(x,R(y,y,z) \ u) = K(x,L(y \ 1,y,z) * u).
K(x,L(y \ 1,y,z) * u) = K(x,R(y,y,z) \ u).
K(x,L(1 / y,y,z) * u) = K(x,R(y,y,z) \ u).
T(x,y \ (z \ T(u * z,w))) = T(x,K(w,z * u) * (y \ T(u,z))).
T(x,K(y,z * u) * (w \ T(u,z))) = T(x,w \ (z \ T(u * z,y))).
T(x,y * T(z * K(y,u),w)) = T(x,K(z,w) * (T(y,u) * z)).
T(x,K(y,z) * (T(u,w) * y)) = T(x,u * T(y * K(u,w),z)).
T(x,y * T(z * K(y,u),w)) = T(x,T(y,u) * T(z,w)).
a(x * ((y \ (z \ u)) * w),v5,v6) = a(x * (w * (y \ (u / z))),v5,v6).
T(x,y * T(z,u / T(w,z \ 1))) = T(x,y / T(z \ 1,u * w)).
T(x,T(y / ((z * (u \ 1)) / z),u)) = T(x,T(u \ 1,z) \ y).
T(x,T(y / ((z * (u \ 1)) / z),u)) = T(x,T(u,z) * y).
T(x,T(y,z) * u) = T(x,T(T(u,z) / (y \ 1),z * y)).
T(x,T(T(y,z) / (u \ 1),z * u)) = T(x,T(u,z) * y).
T(x,T(y,z) * u) = T(x,T((1 / T(u,z)) \ y,z * y)).
T(x,T((1 / T(y,z)) \ u,z * u)) = T(x,T(u,z) * y).
T(x,T(y,z) * u) = T(x,T(y / (1 / T(u,z)),z)).
T(x,T(y / (1 / T(z,u)),u)) = T(x,T(y,u) * z).
T(x,T(y,z) * u) = T(x,T(y * T(u,z),z)).
T(x,T(y * T(z,u),u)) = T(x,T(y,u) * z).
T(x,T(y,z) * (u \ (z \ u))) = T(x,(((u \ (z \ u)) \ 1) \ 1) * y).
T(x,y \ T(T(z * u,w),u)) = T(x,y \ T(u * z,w)).
T(x,y \ T(T((z * u) / z,w),v5)) = T(x,y \ T(T(T(u,v5),z),w)).
T(x,y \ (T(z \ u,w) \ u)) = T(x,K(w,u * z) * (y \ T(z,u))).
T(x,K(y,z * u) * (w \ T(u,z))) = T(x,w \ (T(u \ z,y) \ z)).
T(x,y / ((z * (K(u,w) * y)) / v5)) = T(x,T(v5,y) * (z \ K(w,u))).
a((((x \ y) / z) * u) \ w,v5,v6) = a((u * (z \ (y / x))) \ w,v5,v6).
T(x,y \ T(T(z * u,z),w)) = T(x,y \ T(u * z,w)).
T(x,y \ T(z * u,u)) = T(x,y \ (u * z)).
T(x,y \ T(z,u)) = T(x,y \ (u * (z / u))).
T(x,y \ (z * (u / z))) = T(x,y \ T(u,z)).
T(x,((y / z) / u) \ T(y,z)) = T(x,((z \ y) / u) \ y).
T(x,y \ T(z,u / y)) = T(x,u \ T((y / u) \ z,z)).
T(x,y \ T((z / y) \ u,u)) = T(x,z \ T(u,y / z)).
T(x,((y \ z) / u) \ z) = T(x,u / ((z / y) / z)).
T(x,y / ((z / u) / z)) = T(x,((u \ z) / y) \ z).
T(x,((y \ z) / (u \ w)) \ z) = T(x,u \ (w / ((z / y) / z))).
T(x,y \ T(z,u / y)) = T(x,u \ (z / (y / u))).
T(x,y \ (z / (u / y))) = T(x,T(z,y) / u).
T(x,T(y,z) / u) = T(x,T(y,z \ 1) / u).
T(x,T(y,z \ 1) / u) = T(x,T(y,z) / u).
T(x,T(T(y,z),u) / z) = T(x,z \ T(y,1 / u)).
T(x,y \ T(z,1 / u)) = T(x,T(T(z,y),u) / y).
T(x,y \ T(z,1 / u)) = T(x,y \ T(z,u)).
T(x,y \ T(z,u)) = T(x,y \ T(z,u \ 1)).
T(x,y \ T(z,u \ 1)) = T(x,y \ T(z,u)).
T(x,y \ T(T(z,u \ 1),w)) = T(x,y \ T(T(z,w),u)).
T(x,y \ (z / ((u / w) / u))) = T(x,y \ (z / (u \ (w \ u)))).
(K(x,y) / z) \ L(K(x,y) / z,u,w) = z * L(z \ 1,u,w).
L(K(x,y) * z,y,(y * z) \ z) = (R(y,y,z) \ T(y,x)) \ z.
(R(x,x,y) \ x) \ (K(z,u) * y) = L(K(z,u) * y,x,(x * y) \ y).
L(K(x,y) * z,u,(u * z) \ z) = (R(u,u,z) \ u) \ (K(x,y) * z).
T(x,((T(y,z / u) \ z) / z) * u) = T(x,(1 / u) \ (z \ (y \ z))).
L(R(x,y \ 1,y),y \ 1,x) = ((1 / y) * T(x,x * (1 / y))) * y.
((1 / x) * T(y,y * (1 / x))) * x = L(R(y,x \ 1,x),x \ 1,y).
L(x,y \ ((z / u) / (1 / u)),w) = L(x,y \ (u \ ((u \ 1) \ z)),w).
L(x,y * (K(z,u) * (w \ (v5 / v6))),v7) = L(x,(w \ (v6 \ v5)) * y,v7).
(x / y) * z != (y \ x) * (x \ u) | z = (y * (x / y)) \ u.
x \ K(x * y,y \ 1) = ((y \ 1) * (x / (y \ 1))) \ 1.
((x \ 1) * (y / (x \ 1))) \ 1 = y \ K(y * x,x \ 1).
K(x * T(L(y,y \ 1,z),1),u) = K(x * R(y,y \ 1,z),u).
K(x * L(y,y \ 1,z),u) = K(x * R(y,y \ 1,z),u).
T(x,y \ (T(z \ u,w) * z)) = T(x,K(z * u,w) * (y \ T(u,z))).
T(x,K(y * z,u) * (w \ T(z,y))) = T(x,w \ (T(y \ z,u) * y)).
x * (K(y,x) * K(x,R(x,z,u) * y)) = L(x,y,R(x,z,u)).
L(x,y,R(x,z,u)) = T(x,R(x,z,u) * y) * K(y,x).
T(x,R(x,y,z) * u) * K(u,x) = L(x,u,R(x,y,z)).
L(x,y,R(x,z,u)) = K(y,x) * T(x,y * R(x,z,u)).
K(x,y) * T(y,x * R(y,z,u)) = L(y,x,R(y,z,u)).
K(x,y) * T(y,y * x) = L(y,x,R(y,z,u)).
L(x,y,R(x,z,u)) = K(y,x) * T(x,x * y).
L(x,y,R(x,z,u)) = L(x,y,x).
x \ (R(y,z,u) * ((R(y,z,u) \ x) * y)) = L(y,R(y,z,u) \ x,y).
L(x,y,L(x,z,u)) = L(x,y,x).
L(R(x,y,z),u,L(x,w,v5)) = R(L(x,u,x),y,z).
L(L(x,y,x),z,u) = L(L(x,z,u),y,L(x,w,v5)).
L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z).
L(x \ y,z,x \ y) = L(x \ y,z,(y \ x) \ 1).
L(x \ y,z,(y \ x) \ 1) = L(x \ y,z,x \ y).
L(R(x,y,z),u,x) = L(R(x,y,z),u,L(x,w,v5)).
L(R(x,y,z),u,L(x,w,v5)) = L(R(x,y,z),u,x).
a(x,y,L(L(z,u,z),w,v5)) = a(x,y,L(z,w,v5)).
L(L(R(x,y,z),u,x),w,v5) = L(L(R(x,y,z),w,v5),u,L(x,v6,v7)).
L(L(R(x,y,z),u,w),v5,L(x,v6,v7)) = L(L(R(x,y,z),v5,x),u,w).
L(R(x,y,y \ 1),y,x) = R(x,y \ 1,y * x).
a(x,y,L(L(z,u,w),v5,z)) = a(x,y,L(z,u,w)).
a(x,y,L(L(L(z,u,z),w,v5),v6,v7)) = a(x,y,L(L(z,w,v5),v6,v7)).
L(R(x,1 / y,y),1 / y,x) = R(x,(1 / y) \ 1,(1 / y) * x).
R(x,(1 / y) \ 1,(1 / y) * x) = L(R(x,1 / y,y),1 / y,x).
L((x * y) \ x,z,y \ 1) = L((x * y) \ x,z,(x * y) \ x).
L((x * y) \ x,z,(x * y) \ x) = L((x * y) \ x,z,y \ 1).
L(L(x \ 1,x,y),z,(y * x) \ y) = L((y * x) \ y,z,x \ 1).
a(x,y,L(L(L(z,u,w),v5,z),v6,v7)) = a(x,y,L(L(z,u,w),v6,v7)).
R(x,(1 / y) \ 1,(1 / y) * x) = L(R(x,y,y \ 1),1 / y,x).
T(x,(y / T(z,y / u)) \ (y * u)) = T(x,T((y / (y * u)) \ z,y)).
a(x,(y \ (z / (y \ 1))) \ u,w) = a(x,((1 / y) \ (y \ z)) \ u,w).
a(x,((1 / y) \ (y \ z)) \ u,w) = a(x,(y \ (z / (y \ 1))) \ u,w).
a(x,((y * z) * (1 / z)) \ u,w) = a(x,L(y,z,z \ 1) \ u,w).
a(x,L(y,z,z \ 1) \ u,w) = a(x,((y * z) * (z \ 1)) \ u,w).
a(x,((y * z) * (z \ 1)) \ u,w) = a(x,L(y,z,z \ 1) \ u,w).
a(x,R(y,z,z \ 1) \ u,w) = a(x,L(y,z,z \ 1) \ u,w).
a(x,L(y,z,z \ 1) \ u,w) = a(x,R(y,z,z \ 1) \ u,w).
a(x,a(y \ 1,y,z),u) = a(x,R(z,y,y \ 1) \ z,u).
a(x,R(y,z,z \ 1) \ y,u) = a(x,a(z \ 1,z,y),u).
a(x,a(y \ 1,z,z \ 1),u) = a(x,a(z \ 1,z,y),u).
a(x,(y \ (K(z,u) * w)) \ v5,v6) = a(x,(w / y) \ (K(u,z) * v5),v6).
a(x,((y \ L(z,u,z)) \ z) \ w,v5) = a(x,y \ (a(z,u,z) \ w),v5).
a(x,(y * ((z * y) \ u)) \ w,v5) = a(x,(((y * z) \ u) * y) \ w,v5).
a(x,(((y * z) \ u) * y) \ w,v5) = a(x,(y * ((z * y) \ u)) \ w,v5).
a(x,(R(y,z,u) / w) * v5,v6) = a(x,v5 * (w \ R(T(y,v7),z,u)),v6).
a(x,y * (z \ R(T(u,w),v5,v6)),v7) = a(x,(R(u,v5,v6) / z) * y,v7).
a(x,(L(y,z,u) / w) * v5,v6) = a(x,v5 * (w \ L(T(y,v7),z,u)),v6).
a(x,y * (z \ L(T(u,w),v5,v6)),v7) = a(x,(L(u,v5,v6) / z) * y,v7).
T(T(x,y),x \ 1) * K(z,T(x \ 1,y)) = T(T(x,y) \ 1,z) \ 1.
T(K(x,T(y,z)) * K(u,T(w,z)),u) = T(K(x,y) * K(u,w),z * u).
K(x,T(y,z)) * (u / (u * z)) = (u / (u * z)) * K(x,y).
T((x / (x * y)) * K(z,u),y) = K(z,u) * T(x / (x * y),y).
a((x * ((y * x) \ ((x * z) * y))) \ u,w,v5) = a((x * R(z,x,y)) \ u,w,v5).
T(x,y * T(z,u / T(w,z \ 1))) = T(x,y * T(z,u * w)).
T(x,y * T(z,u / T(w,z))) = T(x,y * T(z,u * w)).
T(x,y * T(z,u / w)) = T(x,y * T(z,u * w)).
T(x,y * T(z,u)) = T(x,y * T(z,(u * w) * w)).
T(x,y * T(z,(u * w) * w)) = T(x,y * T(z,u)).
T(x,y * T(z,u * (u * w))) = T(x,y * T(z,w)).
T(x,T(y,z) * (u \ (z \ u))) = T(x,((u \ (z \ u)) \ 1) \ y).
T(x,((y \ (z \ y)) \ 1) \ u) = T(x,T(u,z) * (y \ (z \ y))).
T(x,T(y,z) * (u \ (z \ u))) = T(x,(u \ (z \ u)) * y).
T(x,((T(y,z / u) \ z) / z) * u) = T(x,u * (z \ (y \ z))).
T(x,(y \ (y / T(z,u / w))) * w) = T(x,w * (u \ (z \ u))).
((1 / x) * T(y,x \ y)) * x = L(R(y,x \ 1,x),x \ 1,y).
L(R(x,y \ 1,y),y \ 1,x) = ((1 / y) * T(x,y \ x)) * y.
T(((1 / x) * y) * x,x \ y) = L(R(y,x \ 1,x),x \ 1,y).
L(R(x,y \ 1,y),y \ 1,x) = T(((1 / y) * x) * y,y \ x).
L(R(x,y,y \ 1),y \ 1,x) = T(((1 / y) * x) * y,y \ x).
L(x,y \ (z \ ((z \ 1) \ u)),w) = L(x,y \ ((1 / z) \ (u / z)),w).
L(x,y \ ((1 / z) \ (u / z)),w) = L(x,y \ (z \ ((z \ 1) \ u)),w).
L(x,(y \ (z \ u)) * w,v5) = L(x,(y \ (u / z)) * w,v5).
L(x,(y \ (z / u)) * w,v5) = L(x,(y \ (u \ z)) * w,v5).
L(x,(y \ z) * u,w) = L(x,(y \ ((z \ v5) \ v5)) * u,w).
L(x,(y \ ((z \ u) \ u)) * w,v5) = L(x,(y \ z) * w,v5).
T(x,y \ (T(z \ u,w) * z)) = T(x,y \ (z \ T(u * z,w))).
T(x,y \ (z \ T(u * z,w))) = T(x,y \ (T(z \ u,w) * z)).
T(x,y \ (z \ T(u * z,w))) = T(x,y \ (z * T(u / z,w))).
T(x,y \ (T(z * u,w) / z)) = T(x,y \ (z * T(u / z,w))).
T(x,K(y,z * u) * (w \ T(u,z))) = T(x,w \ (z * T(u / z,y))).
x \ (y * ((R(y,z,u) \ x) * R(y,z,u))) = L(y,R(y,z,u) \ x,y).
T(x,(y / T(z,y / u)) \ (y * u)) = T(x,((z \ y) / u) \ y).
T(x,((y \ z) / u) \ z) = T(x,w \ ((w * T(y,z / u)) * u)).
T(x,(y / z) \ (u * y)) = T(x,((u \ y) / z) \ y).
T(x,((y \ z) / u) \ z) = T(x,(z / u) \ (y * z)).
T(x,(y / (z \ u)) \ (w * y)) = T(x,z \ (u / ((y / w) / y))).
T(x,y \ (z / ((u / w) / u))) = T(x,y \ (z / ((w * u) \ u))).
T(x,y \ (z / ((u * w) \ w))) = T(x,y \ (z / (w \ (u \ w)))).
a(x,(y \ (z / (y \ 1))) \ u,w) = a(x,((y \ 1) \ (y \ z)) \ u,w).
a(x,((y \ 1) \ (y \ z)) \ u,w) = a(x,(y \ (z / (y \ 1))) \ u,w).
a(x,(y \ (K(z,u) * w)) \ v5,v6) = a(x,(w / y) \ v5,v6).
a(x,(y \ (K(z,u) * w)) \ v5,v6) = a(x,(y \ w) \ v5,v6).
a(x,((y \ z) \ u) \ w,v5) = a(x,((T(y,v6) \ z) \ u) \ w,v5).
a(x,((T(y,z) \ u) \ w) \ v5,v6) = a(x,((y \ u) \ w) \ v5,v6).
a(x,(((y / z) * u) \ w) \ v5,v6) = a(x,(((z \ y) * u) \ w) \ v5,v6).
a(x,((y \ z) \ R(z,u,z)) \ w,v5) = a(x,y \ (a(z,u,z) \ w),v5).
a(x,y * (z \ R(T(u,w),v5,v6)),v7) = a(x,(z \ R(u,v5,v6)) * y,v7).
a(x,y * (z \ L(T(u,w),v5,v6)),v7) = a(x,(z \ L(u,v5,v6)) * y,v7).
T(T(x,y) * K(z,T(x \ 1,y)),x \ 1) = T(T(x,y) \ 1,z) \ 1.
T(T(K(x,y) * K(z,u),w),z) = T(K(x,y) * K(z,u),w * z).
T(K(x,y) * K(z,u),w * z) = T(T(K(x,y) * K(z,u),z),w).
T(T(K(x,y) * K(z,u),z),w) = T(K(x,y) * K(z,u),w * z).
L(x,y \ (z \ ((z \ 1) \ u)),w) = L(x,y \ ((1 / z) \ (z \ u)),w).
L(x,y \ ((1 / z) \ (z \ u)),w) = L(x,y \ (z \ ((z \ 1) \ u)),w).
T(x,y \ (z * T(u / z,w))) = T(x,y \ (T(u \ z,w) \ z)).
T(x,y \ (T(z \ u,w) \ u)) = T(x,y \ (u * T(z / u,w))).
x \ (y * ((y \ x) * y)) = L(y,R(y,z,u) \ x,y).
L(x,R(x,y,z) \ u,x) = u \ (x * ((x \ u) * x)).
L(x,R(x,y,z) \ u,x) = L(x,x \ u,x).
R(x,x \ (R(x \ 1,y,z) \ u),x) = L(x \ 1,(x \ 1) \ u,x \ 1) \ 1.
a(x,((y \ 1) \ (y \ z)) \ u,w) = a(x,(y \ ((y \ 1) \ z)) \ u,w).
a(x,((y \ z) \ R(z,u,z)) \ w,v5) = a(x,y \ w,v5).
a(x,(y \ z) \ u,w) = a(x,(y \ R(z,v5,z)) \ u,w).
a(x,(y \ R(z,u,z)) \ w,v5) = a(x,(y \ z) \ w,v5).
a(x,R(y \ z,u,z) \ w,v5) = a(x,(R(y,u,z) \ z) \ w,v5).
T(T(x * K(y,x \ 1),z),x \ 1) = T(T(x,z) \ 1,y) \ 1.
T(T(x,y) \ 1,z) \ 1 = T((x \ K(x \ 1,z)) \ 1,y).
T((x \ K(x \ 1,y)) \ 1,z) = T(T(x,z) \ 1,y) \ 1.
T(T(x \ 1,y) \ 1,z) = T(T(x,z) \ 1,y) \ 1.
T(T(x,y) \ 1,z) \ 1 = T(T(x \ 1,z) \ 1,y).
T(x \ 1,T(y,z)) \ K(x,z) = T(T(x \ 1,y) \ 1,z).
L(x,y \ (z \ ((z \ 1) \ u)),w) = L(x,y \ ((z \ 1) \ (z \ u)),w).
L(x,y \ ((z \ 1) \ (z \ u)),w) = L(x,y \ (z \ ((z \ 1) \ u)),w).
L(x,y \ ((z \ 1) \ (z \ u)),x) = L(x,z * ((z * y) \ u),x).
L(x,y * ((y * z) \ u),x) = L(x,y * (z \ (y \ u)),x).
K(x,y \ 1) * T(y * (x \ (y \ x)),x) = a(y,x \ (y \ x),x).
T(K(x,y \ 1) * (y * (x \ (y \ x))),x) = a(y,x \ (y \ x),x).
T(x * (K(y,x \ 1) * (y \ (x \ y))),y) = a(x,y \ (x \ y),y).
T(x * ((x \ y) / y),y) = a(x,y \ (x \ y),y).
a(x,y \ (x \ y),y) = x * ((x \ y) / y).
(x * K(y \ 1,x)) * (y * ((y \ x) / x)) = (y * (x \ (y \ x))) * x.
(x * (y \ (x \ y))) * y = y * (K(x \ 1,y) * (x * ((x \ y) / y))).
x * (K(y \ 1,x) * (y * ((y \ x) / x))) = (y * (x \ (y \ x))) * x.
x * (y * (K(1 / y,x) * ((y \ x) / x))) = (y * (x \ (y \ x))) * x.
x * (y * (K(y \ 1,x) * ((y \ x) / x))) = (y * (x \ (y \ x))) * x.
x * (y * T((y \ x) / x,x)) = (y * (x \ (y \ x))) * x.
x * (y * (x \ (y \ x))) = (y * (x \ (y \ x))) * x.
(x * (y \ (x \ y))) * y = y * (x * (y \ (x \ y))).
(x * (y * (x \ (y \ x)))) / (y \ x) = (y * (x \ (y \ x))) * y.
(x * (y * (x \ (y \ x)))) / (y \ x) = y * (y * (x \ (y \ x))).
R(x * K(y,z),u,w) * K(z,y) = R(x,K(y,z) * u,w).
R((x * K(y,z)) * K(z,y),u,w) = R(x,K(y,z) * u,w).
R(x * (K(y,z) * K(z,y)),u,w) = R(x,K(y,z) * u,w).
R(x * 1,y,z) = R(x,K(u,w) * y,z).
R(x,K(y,z) * u,w) = R(x * 1,u,w).
R(x,K(y,z) * u,w) = R(x,u,w).
R(x,T(y,z),u) = R(x,y,u).
R(x,y * z,u) = R(x,z * y,u).
R(x,T(y,z) * u,w) = R(x,y * u,w).
R(x,y \ z,u) = R(x,T(y,w) \ z,u).
R(x,T(y,z) \ u,w) = R(x,y \ u,w).
R(x,(y \ z) \ z,u) = R(x,y,u).
R(x,(y \ z) * y,u) = R(x,z,u).
R(x,y / z,u) = R(x,z \ y,u).
R(x,y,z) = R(x,(u * y) / u,z).
R(x,(y * z) / y,u) = R(x,z,u).
R(x,y * (z / y),u) = R(x,z,u).
R(x,(y \ z) * u,w) = R(x,(z / y) * u,w).
R(x,(y / z) * u,w) = R(x,(z \ y) * u,w).
R(x,(y / z) \ u,w) = R(x,(z \ y) \ u,w).
R(x,y \ z,u) = R(x,((y \ w) \ w) \ z,u).
R(x,((y \ z) \ z) \ u,w) = R(x,y \ u,w).
R(x,L(y,z,u) \ w,v5) = R(x,L(T(y,v6),z,u) \ w,v5).
R(x,L(T(y,z),u,w) \ v5,v6) = R(x,L(y,u,w) \ v5,v6).
R(x,y * K(z,u),w) = R(x,y,w).
R(x,L(T(y,z),u,w),v5) = R(x,L(y,u,w),v5).
R(x,y \ (K(z,u) * w),v5) = R(x,y \ w,v5).
R(x,y \ K(z,u),w) = R(x,y \ 1,w).
R(x,((y \ z) * y) \ u,w) = R(x,z \ u,w).
R(x,(y \ 1) \ z,u) = R(x,(y \ K(w,v5)) \ z,u).
R(x,(y \ K(z,u)) \ w,v5) = R(x,(y \ 1) \ w,v5).
R(x,L(y,y,y),z) = R(x,y,z).
R(x,y,z) * (T(y,u) * z) = (x * T(y,u)) * z.
((x * y) * z) / (T(x,y) * z) = R(y,x,z).
R(x,y,z) = ((y * x) * z) / (T(y,x) * z).
R(x,(y * z) \ (u * z),w) = R(x,R(u / y,y,z),w).
R(x,R(y / z,z,u),w) = R(x,(z * u) \ (y * u),w).
R(x,y,z) \ ((y * x) * z) = T(y,x) * z.
R(x \ 1,x,y) \ y = T(x,x \ 1) * y.
R(x,L(y,z,y),u) = R(x,y * K(z,y),u).
R(x,y * K(z,y),u) = R(x,L(y,z,y),u).
R(x,x \ (y * L(x,z,u)),x) = R(x,y,x).
R(x / L(y,y,y),y,y) = (x * y) / (y * L(y,y,y)).
(x * y) / (y * L(y,y,y)) = R(x / L(y,y,y),y,y).
R(x,a(y,z,y) \ u,w) = R(x,(y \ u) * L(y,z,y),w).
R(x,(y \ z) * L(y,u,y),w) = R(x,a(y,u,y) \ z,w).
R(x,K(y,z) * (u * w),v5) = R(x,w * u,v5).
R(x,y,(z \ u) \ u) = R(x,(y \ w) \ w,z).
R(x,(y \ z) \ z,u) = R(x,y,(u \ w) \ w).
R(x,y,x) = R(x,z \ ((1 / z) \ y),x).
R(x,y \ ((1 / y) \ z),x) = R(x,z,x).
R(x / (y / z),z \ y,u) = (x * u) / ((y / z) * u).
R(x,y \ z,(z / y) \ u) * u = (x * (z / y)) * ((z / y) \ u).
R(x / (y / z),z \ y,x \ u) \ u = (y / z) * (x \ u).
R(x,x \ 1,y) = ((y / ((1 / x) * y)) \ 1) \ 1.
R(x,y \ z,L(y,u,w)) * (L(y,u,w) * (y \ z)) = (x * (z / y)) * L(y,u,w).
R(x,y / (K(z,z \ 1) / z),u) = R(x,z \ ((y * z) / (1 / z)),u).
R(x,L(y / z,u,w),v5) = R(x,L(z \ y,u,w),v5).
R(x,R(y / z,u,w),v5) = R(x,R(z \ y,u,w),v5).
R(x,y * T(z,u),w) = R(x,y * z,w).
R(x,y * (z * K(u,w)),v5) = R(x,y * z,v5).
R(x,y * (z \ u),w) = R(x,y * (u / z),w).
R(x,y * (z / u),w) = R(x,y * (u \ z),w).
R(x,y \ ((z \ u) \ u),w) = R(x,y \ z,w).
R(x,y \ (z / u),w) = R(x,y \ (u \ z),w).
R(x,(y \ z) * K(u,z),w) = R(x,y \ L(z,u,z),w).
R(x,L(y * K(z,u),w,v5),v6) = R(x,L(y,w,v5),v6).
R(x,L(y,z,y) \ u,w) = R(x,(y * K(z,y)) \ u,w).
R(x,(y * K(z,y)) \ u,w) = R(x,L(y,z,y) \ u,w).
R(T(x,y),x \ 1,z) = z / ((x \ (K(y,x) * 1)) * z).
x / ((y \ (K(z,y) * 1)) * x) = R(T(y,z),y \ 1,x).
R(x \ 1,y \ ((1 / y) \ z),x) = R(x,z,x) \ 1.
R(x,y * L(z,u,z),w) = R(x,y * (z * K(u,z)),w).
R(x,y * (z * K(u,z)),w) = R(x,y * L(z,u,z),w).
R(x,y,L(z,x,y)) = (y * (x * z)) / (T(y,x) * L(z,x,y)).
(x * (y * z)) / (T(x,y) * L(z,y,x)) = R(y,x,L(z,y,x)).
R(x,y,(y * x) \ z) \ z = T(y,x) * ((y * x) \ z).
x / (T(y,y \ 1) * x) = R(y \ 1,y,x).
T(x,x \ 1) * ((x \ 1) * y) = y * (R(x \ 1,x,(x \ 1) * y) \ (x \ 1)).
x * (R(y \ 1,y,(y \ 1) * x) \ (y \ 1)) = T(y,y \ 1) * ((y \ 1) * x).
x \ T(x * (1 / R(y \ 1,y,x)),R(y \ 1,y,x)) = 1 / T(R(y \ 1,y,x),T(y,y \ 1) * x).
R(x,L(y,z,y),u) = R(x,y,u).
R(1 / L(x,y,x),x,z) \ z = L(x,y,x) * z.
R(x,y,z) = R(x,R(y,u,y),z).
R(x,R(y,z,y),u) = R(x,y,u).
R(K(x,y) / R(z,u,z),z,x) = T(x,y) / (R(z,u,z) * x).
x / (x * T(y,(y * K(x,y)) \ 1)) = R((y * K(x,y)) \ 1,y * K(x,y),x).
R((x * K(y,x)) \ 1,x * K(y,x),y) = y / (y * T(x,(x * K(y,x)) \ 1)).
R(x,T(y / z,u) \ w,v5) = R(x,(z \ y) \ w,v5).
R(x,y \ (z \ u),w) = R(x,y \ (T(z,v5) \ u),w).
R(x,y \ (T(z,u) \ w),v5) = R(x,y \ (z \ w),v5).
R(x,(y * z) \ u,w) = R(x,(z * y) \ u,w).
R(x,y \ ((z / u) \ w),v5) = R(x,y \ ((u \ z) \ w),v5).
R(x,((y * z) \ u) * w,v5) = R(x,w * ((z * y) \ u),v5).
R(x,y,(y \ z) \ z) * (y * ((y \ u) \ u)) = (x * ((y \ u) \ u)) * y.
R(x,y * (z \ (u / w)),v5) = R(x,y * (z \ (w \ u)),v5).
R(x,y * (z \ 1),x) = R(x,z \ y,x).
R(x,y \ z,x) = R(x,(y \ 1) * z,x).
R(x,(y \ 1) * z,x) = R(x,y \ z,x).
R(x,y * z,x) = R(x,(1 / y) \ z,x).
R(x,(1 / y) \ z,x) = R(x,y * z,x).
R(x / y,(1 / z) \ u,x / y) = R(x / y,z * u,y \ x).
R(x,x \ y,x) = R(x,(y \ x) \ 1,x).
R(x,(y \ x) \ 1,x) = R(x,x \ y,x).
x * (T(y,z) * y) != (a(y,u,w) * T(y,z)) * y | x = a(y,u,w).
R(a(x,y,z),x,x) = a(x,y,z).
a(x,y,z) * R(u,x,x) = R(a(x,y,z) * u,x,x).
R(a(x,y,z) * u,x,x) = a(x,y,z) * R(u,x,x).
(a(x,y,z) / u) * R(u,x,x) = u \ R(u * a(x,y,z),x,x).
x \ R(x * a(y,z,u),y,y) = (a(y,z,u) / x) * R(x,y,y).
a(L(x,y,y) \ a(y,z,u),w,v5) = a(L(x \ a(y,z,u),y,y),w,v5).
a(L(x \ a(y,z,u),y,y),w,v5) = a(L(x,y,y) \ a(y,z,u),w,v5).
((x / ((1 / y) * x)) \ 1) \ 1 = x / ((y \ 1) * x).
L(x,y,R((z / ((1 / u) * z)) \ 1,w,(z / ((1 / u) * z)) \ 1) \ 1) = L(x,y,R(u,u \ 1,z)).
R(T(L(x,y,x) * 1,z),R(1 / L(x,y,x),x,1),R(1 / L(x,y,x),x,1) \ z) = T(z \ (R(1 / L(x,y,x),x,1) \ z),R(1 / L(x,y,x),x,1)).
(1 / x) \ x = L(x,x,x) * x.
L(x,x,x) * x = (1 / x) \ x.
(1 / x) \ x = x * L(x,x,x).
x * L(x,x,x) = (1 / x) \ x.
T((1 / x) \ x,x) = x * x.
a((1 / x) \ x,y,z) = a(x * x,y,z).
L(x,y,((1 / z) \ z) \ u) = L(x,y,(z * z) \ u).
L(x,(1 / y) \ y,z) = L(x,y * y,z).
T(x \ (x \ 1),x \ 1) = (x \ 1) * (x \ 1).
(x * (y * y)) * T(y,(1 / y) \ y) = (x * ((1 / y) \ y)) * y.
L(x,y,((z * z) * u) \ w) = L(x,y,(((1 / z) \ z) * u) \ w).
L(x,y,(((1 / z) \ z) * u) \ w) = L(x,y,((z * z) * u) \ w).
L(x,y,(z * (u * u)) * w) = L(x,y,(z * ((1 / u) \ u)) * w).
L(x,y,(z * ((1 / u) \ u)) * w) = L(x,y,(z * (u * u)) * w).
x \ ((1 / x) \ x) = L(x,x,x).
(x \ 1) \ (x \ (x \ 1)) = L(x \ 1,x \ 1,x \ 1).
L(x \ 1,x \ 1,x \ 1) = (x \ 1) \ (x \ (x \ 1)).
L(L(x,x,x),x,((1 / x) \ x) \ y) = ((y / ((1 / x) \ x)) * x) \ y.
T(L(x,x,x),1 / x) = ((x \ ((1 / x) \ x)) \ 1) \ 1.
(L(x,x,x) \ 1) \ 1 = x \ ((x \ 1) \ x).
a((x \ (x \ 1)) \ 1,y,z) = a(x * x,y,z).
L(1 / x,x * x,y) = (y * (x / (1 / x))) \ (y * x).
(x * (y / (1 / y))) \ (x * y) = L(1 / y,y * y,x).
a(((x \ 1) * (x \ 1)) * y,z,u) = a((x \ (x \ 1)) * y,z,u).
(a(x,y,z) \ 1) * (a(x,y,z) \ 1) = a(x,y,z) \ (a(x,y,z) \ 1).
L(x,y,z \ ((u \ 1) * (u \ 1))) = L(x,y,z \ (u \ (u \ 1))).
R(x,(K(y,z) / u) \ w,v5) = R(x,(u \ 1) \ w,v5).
R(x,L(y * z,u,w),v5) = R(x,L(z * y,u,w),v5).
R(x,L(T(y,z) \ u,w,v5),v6) = R(x,L(y \ u,w,v5),v6).
R(x,L(y \ (z * T(u,w)),v5,v6),v7) = R(x,L(y \ (z * u),v5,v6),v7).
R(x,(y * z) \ ((z * u) * y),w) = R(x,L(u,z,y),w).
R(x \ 1,y,x) = R(x \ 1,z \ ((1 / z) \ y),x).
R(x \ 1,y \ ((1 / y) \ z),x) = R(x \ 1,z,x).
R(x,(y / (z * u)) \ (K(u,z) * w),v5) = R(x,((u * z) \ y) \ w,v5).
R(x,y \ (z / T(u,w)),v5) = R(x,y \ (u \ z),v5).
R(x,(y * z) \ (u * z),w) = R(x,R(y \ u,y,z),w).
R(x,R(y \ z,y,u),w) = R(x,(y * u) \ (z * u),w).
(x * y) / ((1 / y) \ y) = R(x / L(y,y,y),y,y).
R(x / L(y,y,y),y,y) = (x * y) / ((1 / y) \ y).
(x * y) / ((1 / y) \ y) = R(x,y,y) / y.
x / ((1 / y) \ y) = R(x / y,y,y) / y.
R(x / y,y,y) / y = x / ((1 / y) \ y).
(x / ((1 / y) \ y)) * y = R(x / y,y,y).
R((x * y) / ((1 / z) * y),z,z \ 1) = R(x * z,z \ 1,y).
R(x,y \ L(z,u,z),w) = R(x,y \ z,w).
R(x,y \ z,u) = R(x,y \ R(z,w,z),u).
R(x,y \ R(z,u,z),w) = R(x,y \ z,w).
R(x,K(y,z) * (y \ u),w) = R(x,L(y,z,y) \ u,w).
x / ((y \ K(z,y)) * x) = R(T(y,z),y \ 1,x).
L(x,R(T(y,z),y \ 1,u) \ w,v5) = L(x,(((y \ K(z,y)) * u) \ u) \ w,v5).
L(x,(((y \ K(z,y)) * u) \ u) \ w,v5) = L(x,R(T(y,z),y \ 1,u) \ w,v5).
R(x,y * L(z,u,z),w) = R(x,y * z,w).
R(x,y * z,u) = R(x,y * R(z,w,z),u).
R(x,y * R(z,u,z),w) = R(x,y * z,w).
R(x,R(y * z,u,z),w) = R(x,R(y,u,z) * z,w).
R(x,R(y * y,z,y),u) = R(x,y * R(y,z,y),u).
R(x,R(y * y,z,y),u) = R(x,y * y,u).
R(x,y,(y * x) \ z) \ z = y * ((x * y) \ z).
x / (y * ((z * y) \ x)) = R(z,y,(y * z) \ x).
R(x,y,(y * x) \ z) = z / (y * ((x * y) \ z)).
(x \ 1) \ (x \ (x \ 1)) = T(x \ 1,x \ (x \ 1)).
(x \ (x \ 1)) / (x \ 1) = T(x \ 1,x \ (x \ 1)).
R(x,x,x \ (x \ 1)) = T(x \ 1,x \ (x \ 1)) \ 1.
((x \ ((1 / x) \ x)) \ 1) \ 1 = T(L(x,x,x),x \ 1).
T(L(x,x,x),x \ 1) = ((x \ ((1 / x) \ x)) \ 1) \ 1.
L(x,y,L(1 / z,z * z,u)) = L(x,y,((z / (1 / z)) * u) \ (u * z)).
L(x,y,((z / (1 / z)) * u) \ (u * z)) = L(x,y,L(1 / z,z * z,u)).
R(x,L(y,z,u),w) = R(x,(z * u) \ ((z * y) * u),w).
R(x,(y * z) \ ((y * u) * z),w) = R(x,L(u,y,z),w).
R(x,R(y,z,u),w) = R(x,(z * u) \ ((z * y) * u),w).
R(x,(y * z) \ ((y * u) * z),w) = R(x,R(u,y,z),w).
R(x,L(y,z,y) \ u,w) = R(x,y \ u,w).
L(T(x,x \ 1),x,x) = ((x \ ((1 / x) \ x)) \ 1) \ 1.
R(x,R(y,z,u),w) = R(x,L(y,z,u),w).
R(x,L(y,z,u),w) = R(x,R(y,z,u),w).
R(x,L(y / z,z \ y,z),u) = R(x,(z / y) \ 1,u).
L(T(x,x \ 1),x,x) = x \ ((x \ 1) \ x).
L(T(x,x \ 1),T(x,y),T(x,z)) = x \ ((x \ 1) \ x).
R(x,L(y / z,z \ y,z),u) = R(x,(y \ z) \ 1,u).
L(T(x \ 1,x * 1),T(x \ 1,y),T(x \ 1,z)) = (x \ 1) \ (((x \ 1) \ 1) \ (x \ 1)).
R(x,(y \ z) \ 1,u) = R(x,L(z \ y,z \ y,z),u).
R(x,L(y \ z,y \ z,y),u) = R(x,(z \ y) \ 1,u).
R(x,a(y,z,y) \ u,w) = R(x,(y \ u) * y,w).
R(x,a(y,z,y) \ u,w) = R(x,u,w).
R(x,y,z) = R(x,a(u,w,u) * y,z).
R(x,a(y,z,y) * u,w) = R(x,u,w).
R(x,R(y,z,y \ 1),u) = R(x,y,u).
R(x,y,z) * ((a(u,w,u) * y) * z) = (x * (a(u,w,u) * y)) * z.
R(x,x \ ((y \ z) \ u),y \ z) \ u = (x \ ((z / y) \ u)) * (((z / y) \ u) \ u).
R(x \ 1,y \ ((y \ 1) \ z),x) = R(x \ 1,z,x).
R(x,y * ((z * u) \ w),v5) = R(x,y * ((u * z) \ w),v5).
R(R(K(x,y) / z,u,z),z,x) = T(x,y) / (R(z,u,z) * x).
T(x,y) / (R(z,u,z) * x) = R(T(x,y) / (z * x),u,z).
R(T(x,y) / (z * x),u,z) = T(x,y) / (R(z,u,z) * x).
T(R(T(x,y \ 1) / (y * x),z,y),x) = x / (R(y,z,y) * x).
R(1 / x,(1 / x) \ y,1 / x) = L(x,y,x) \ 1.
x / (L(y,x,y) \ 1) = K(1 / y,x) * ((1 / y) \ x).
K(1 / x,y) * ((1 / x) \ y) = y / (L(x,y,x) \ 1).
K(x \ 1,y) * ((1 / x) \ y) = y / (L(x,y,x) \ 1).
x / (L(x,x,x) \ 1) = (1 / x) \ (1 / (1 / x)).
(1 / x) \ (1 / (1 / x)) = x / (L(x,x,x) \ 1).
(a(x,y,z) \ ((a(x,y,z) / u) * R(u,x,x))) * a(x,y,z) = u \ R(u * a(x,y,z),x,x).
(x * (y * y)) * T(y,y * y) = (x * ((1 / y) \ y)) * y.
R((x / y) * y,y \ 1,z) = R(x,y \ 1,R(z,y,y \ 1)).
R(x,y \ 1,R(z,y,y \ 1)) = R((x / y) * y,y \ 1,z).
R(x,y \ 1,R(z,y,y \ 1)) = R(x,y \ 1,z).
R(T(T(x,y \ 1) / (y * x),x),z,y) = x / (R(y,z,y) * x).
R(x / (y * x),z,y) = x / (R(y,z,y) * x).
R((x \ y) / y,z,x) = (x \ y) / (R(x,z,x) * (x \ y)).
(x \ y) / (R(x,z,x) * (x \ y)) = R((x \ y) / y,z,x).
(x \ y) / (a(x,z,x) * y) = R((x \ y) / y,z,x).
R((x \ y) / y,z,x) = a(x,z,x) \ ((x \ y) / y).
a(x,y,x) \ ((x \ z) / z) = R((x \ z) / z,y,x).
((x \ y) / y) \ R((x \ y) / y,z,x) = a(x,z,x) \ 1.
a(x \ 1,y,x) = ((x \ z) / z) \ R((x \ z) / z,y,x).
((x \ y) / y) \ R((x \ y) / y,z,x) = a(x \ 1,z,x).
a((x \ y) / y,z,x) = R(a(x \ 1,z,x),(x \ y) / y,x * z).
R(a(x \ 1,y,x),(x \ z) / z,x * y) = a((x \ z) / z,y,x).
(x * (a(y,z,y) * u)) * w != v5 * ((a(y,z,y) * u) * w) | R(x,u,w) = v5.
a((x \ y) / y,z,x) = a(x \ 1,z,x).
a(x \ 1,y,x) = a(z \ (x \ z),y,x).
a(x \ (y \ x),z,y) = a(y \ 1,z,y).
a((x \ y) \ 1,z,x \ y) = a(y \ x,z,x \ y).
a(x \ y,z,y \ x) = a(y \ x,z,y \ x) \ 1.
a(x \ y,z,x \ y) \ 1 = a(y \ x,z,x \ y).
1 \ 1 = a(x \ L(x,y,z),u,L(x,y,z) \ x).
a(x \ L(x,y,z),u,L(x,y,z) \ x) = 1 \ 1.
a(x \ L(x,y,z),u,L(x,y,z) \ x) = 1.
L(L(x,y,z) \ x,u,x \ L(x,y,z)) = L(x,y,z) \ x.
R(x,y \ ((z * y) / (1 / y)),u) = R(x,(K(y,y \ 1) / y) \ z,u).
R(x,(K(y,y \ 1) / y) \ z,u) = R(x,y \ ((z * y) / (1 / y)),u).
((x / ((1 / y) \ y)) * y) \ x = L(L(y,y,y),y,(y * y) \ x).
L(L(x,x,x),x,(x * x) \ y) = ((y / ((1 / x) \ x)) * x) \ y.
L(L(x,x,x),x,(x * x) \ y) = R(y / x,x,x) \ y.
L(L(x,x,x),x,y) = R(((x * x) * y) / x,x,x) \ ((x * x) * y).
R(((x * x) * y) / x,x,x) \ ((x * x) * y) = L(L(x,x,x),x,y).
R(x,((y * z) \ u) \ w,v5) = R(x,(u / (z * y)) \ w,v5).
R(x,(y / (z * u)) \ w,v5) = R(x,((u * z) \ y) \ w,v5).
R(x,((y * z) \ u) \ w,v5) = R(x,((z * y) \ u) \ w,v5).
R(x,L(T(y,z),z,u) \ w,v5) = R(x,((z * u) \ (u * (y * z))) \ w,v5).
R(x,((y * z) \ (z * (u * y))) \ w,v5) = R(x,L(T(u,y),y,z) \ w,v5).
R(x,y \ ((z * y) / (1 / y)),u) = R(x,(y \ 1) \ z,u).
R(x,(y \ 1) \ z,u) = R(x,y \ ((1 / y) \ (z * y)),u).
R(x,y \ ((1 / y) \ (z * y)),u) = R(x,(y \ 1) \ z,u).
x \ (y * L(x,z,x)) = T(a(x,z,x) \ y,x).
((x * L(y,z,y)) * u) / (y * (T(a(y,z,y) \ x,y) * u)) = a(y,y \ (x * L(y,z,y)),u).
R(x,y,K(z,u) * w) = R(x,y * K(z,u),w).
R(x,y * K(z,u),w) = R(x,y,K(z,u) * w).
R(x,y,K(z,u) * w) = R(x,y,w).
R(x,y,a(z,z,z) * u) = R(x,y,u).
R(x,y,z * u) = R(x,y,u * z).
R(x,y,T(z,u) * w) = R(x,y,z * w).
R(x,y,z \ u) = R(x,y,T(z,w) \ u).
R(x,y,T(z,u) \ w) = R(x,y,z \ w).
R(x,y,(z \ u) * z) = R(x,y,u).
R(x,y,(z * u) * w) = R(x,y,(u * z) * w).
R(x,y,(z * u) / w) = R(x,y,(u * z) / w).
R(x,y,(z \ u) * w) = R(x,y,(u / z) * w).
R(x,y,(z / u) * w) = R(x,y,(u \ z) * w).
R(x,y,(z / u) \ w) = R(x,y,(u \ z) \ w).
R(x,y,((z / u) * w) * v5) = R(x,y,((u \ z) * w) * v5).
R(x,y,L(z,u,w) \ v5) = R(x,y,L(T(z,v6),u,w) \ v5).
R(x,y,L(T(z,u),w,v5) \ v6) = R(x,y,L(z,w,v5) \ v6).
R(x,y,z * K(u,w)) = R(x,y,z).
R(x,y,z * u) = R(x,y,z * T(u,w)).
R(x,y,z * T(u,w)) = R(x,y,z * u).
R(x,y,z \ (K(u,w) * v5)) = R(x,y,z \ v5).
R(x,y,z \ K(u,w)) = R(x,y,z \ 1).
R(x,y,z \ T(u,w)) = R(x,y,z \ u).
R(x,y,((z \ u) * z) \ w) = R(x,y,u \ w).
R(x,y,(z \ u) \ w) = R(x,y,(z \ T(u,v5)) \ w).
R(x,y,(z \ T(u,w)) \ v5) = R(x,y,(z \ u) \ v5).
L(K(x,y) * z,u,(u * z) \ z) = (R(u,u,K(w,v5) * z) \ u) \ (K(x,y) * z).
R(x,y,L(z,u \ 1,u)) = R(x,y,((u \ 1) * z) * u).
R(x,y,((z \ 1) * u) * z) = R(x,y,L(u,z \ 1,z)).
R(x,y,L(z,u,u \ 1)) = R(x,y,(u * z) * (1 / u)).
R(x,y,(z * u) * (1 / z)) = R(x,y,L(u,z,z \ 1)).
R(x,y,K(z,u) * (w * v5)) = R(x,y,v5 * (K(z,u) * w)).
R(K((x \ y) * x,z) / u,u,y) = T((x \ y) * x,z) / (u * ((x \ y) * x)).
R(x,y,R((z \ u) * z,w,v5)) = R(x,y,R(u,w,v5)).
a((((x \ y) * x) / (z * ((x \ y) * x))) * u,w,v5) = a(((v6 \ u) * v6) * R(1 / z,z,y),w,v5).
R(x,y,z * (u * K(w,v5))) = R(x,y,z * 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)) = R(x,y,z * (w \ u)).
R(x,y,z \ ((u \ w) \ w)) = R(x,y,z \ u).
R(x,y,z \ (u / w)) = R(x,y,z \ (w \ u)).
R(x,y,z \ (u \ T(w,v5))) = R(x,y,z \ (u \ w)).
R(x,y,(z \ u) * K(w,u)) = R(x,y,z \ L(u,w,u)).
R(x,y,L(z * K(u,w),v5,v6)) = R(x,y,L(z,v5,v6)).
R(x,y,(z \ a(u,u,u)) * w) = R(x,y,(z \ 1) * w).
R(x,y,z * R(u,w,w \ 1)) = R(x,y,z * (((1 / w) * u) * w)).
R(x,y,z * (((1 / u) * w) * u)) = R(x,y,z * R(w,u,u \ 1)).
R(x,y,z * ((u * w) * (1 / w))) = R(x,y,z * ((w * u) * (1 / w))).
R(x,y,z * L(u,w,u)) = R(x,y,z * (u * K(w,u))).
R(x,y,z * (u * K(w,u))) = R(x,y,z * L(u,w,u)).
R(x / y,y,z \ 1) = (x * (z \ K(u,w))) / (y * (z \ K(u,w))).
R(x,y,(z \ K(u,w)) \ 1) = R(x,y,z).
R(x,y,z \ R(u,w,w \ 1)) = R(x,y,z \ ((w * u) * (w \ 1))).
R(x,y,z \ ((u * w) * (u \ 1))) = R(x,y,z \ R(w,u,u \ 1)).
R(x,y,(z \ T(u,w)) \ u) = R(x,y,z).
R(x,y,(z * u) * w) = R(x,y,w * (u * z)).
R(x,y,(z * u) / w) = R(x,y,w \ (u * z)).
T(((1 / x) * y) * x,(1 / x) * y) = R(y,x,(x \ 1) * y).
R(x,y,T(z / u,w) * v5) = R(x,y,(u \ z) * v5).
R(x,y,(z / (K(u,u \ 1) / u)) \ w) = R(x,y,(u \ ((z * u) / (1 / u))) \ w).
R(x,y \ z,(y \ z) \ u) * u = (x * (z / y)) * ((z / y) \ u).
R(x,y,T(z / u,w) \ v5) = R(x,y,(u \ z) \ v5).
R(x,y,z \ (u \ w)) = R(x,y,z \ (T(u,v5) \ w)).
R(x,y,z \ (T(u,w) \ v5)) = R(x,y,z \ (u \ v5)).
R(x,y,(z * u) \ w) = R(x,y,(u * z) \ w).
R(x,y,z \ ((u \ w) * v5)) = R(x,y,z \ ((w / u) * v5)).
R(x,y,z \ ((u / w) * v5)) = R(x,y,z \ ((w \ u) * v5)).
R(x,y,z \ ((u / w) \ v5)) = R(x,y,z \ ((w \ u) \ v5)).
R(x,y,((z / u) \ w) \ v5) = R(x,y,((u \ z) \ w) \ v5).
R(x,y,L(z \ 1,z,z \ u)) = R(x,y,u \ (z \ u)).
R(1 / x,x,y \ (x \ y)) = x \ 1.
(x \ 1) \ (y \ (x \ y)) = x * (y \ (x \ y)).
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 \ T(w,v5))) = R(x,y,z * (u \ w)).
R(x,y,z * (u * (w \ v5))) = R(x,y,z * (u * (v5 / w))).
R(x,y,z * (u * (w / v5))) = R(x,y,z * (u * (v5 \ w))).
R(x,y,z * (u \ (w / v5))) = R(x,y,z * (u \ (v5 \ w))).
(x * (1 / y)) / R(y * (x / y),y,y \ 1) = R(1 / y,y,x * (y \ 1)).
R(x / y,y,x \ (z \ u)) \ (u / z) = y * (x \ (u / z)).
(x \ (x / y)) / T(y * (x \ (x / y)),z) = R(1 / y,y,x \ (y \ x)).
R(x,y,(1 / z) \ (z \ u)) = R(x,y,z \ (u / (z \ 1))).
R(x,y,((z \ u) * z) * w) = R(x,y,w * u).
R(x,y,R(z,u,w)) = R(x,y,(u * w) \ (w * (z * u))).
R(x,y,(z * u) \ (u * (w * z))) = R(x,y,R(w,z,u)).
R(x,y,L(T(z,u),u,w)) = R(x,y,(u * w) \ (w * (z * u))).
R(x,y,(z * u) \ (u * (w * z))) = R(x,y,L(T(w,z),z,u)).
x \ (y \ ((1 / x) \ y)) = (1 / x) * (y \ ((1 / x) \ y)).
(1 / x) * (y \ ((1 / x) \ y)) = x \ (y \ ((1 / x) \ y)).
(x \ (y \ x)) / (y \ 1) = y * (x \ (y \ x)).
L(x \ 1,y,x * (z \ (x \ z))) = x \ 1.
L(x \ 1,y,x * ((x * z) \ z)) = x \ 1.
x \ 1 = L(x \ 1,y,x * ((z * x) \ z)).
L(x \ 1,y,x * ((z * x) \ z)) = x \ 1.
(x * ((y * x) \ y)) \ (x \ 1) = ((x * ((y * x) \ y)) \ 1) * (x \ 1).
((x * ((y * x) \ y)) \ 1) * (x \ 1) = (x * ((y * x) \ y)) \ (x \ 1).
R(x,y,z * L(u,w,w \ 1)) = R(x,y,z * ((w * u) * (1 / w))).
R(x,y,z * ((u * w) * (1 / u))) = R(x,y,z * L(w,u,u \ 1)).
R(x,y,R((z \ u) * z,(z \ u) * z,w)) = R(x,y,(((z \ u) * z) \ ((w / (((z \ u) * z) * w)) \ 1)) * u).
R(x,y,(((z \ u) * z) \ ((w / (((z \ u) * z) * w)) \ 1)) * u) = R(x,y,R((z \ u) * z,(z \ u) * z,w)).
(x \ ((1 / y) \ x)) / y = (1 / y) * (x \ ((1 / y) \ x)).
(1 / x) * (y \ ((1 / x) \ y)) = (y \ ((1 / x) \ y)) / x.
R(x,y,(z \ (u \ w)) \ v5) = R(x,y,(z \ (w / u)) \ v5).
R(x,y,(z \ (u / w)) \ v5) = R(x,y,(z \ (w \ u)) \ v5).
R(x,y,((z * u) \ u) \ w) = R(x,y,((u * z) \ u) \ w).
R(x,y,z \ (u \ (w \ v5))) = R(x,y,z \ (u \ (v5 / w))).
R(x,y,z \ (u \ (w / v5))) = R(x,y,z \ (u \ (v5 \ w))).
R(x,y,L((z \ u) * z,w,v5)) = R(x,y,L(u,w,v5)).
R(x,y,L(z \ T(u,w),v5,v6)) = R(x,y,L(z \ u,v5,v6)).
R(x,y,L(z \ (u / w),v5,v6)) = R(x,y,L(z \ (w \ u),v5,v6)).
R(x,y,(z \ u) * (K(w,w \ z) * v5)) = R(x,y,(((w \ z) * w) \ u) * v5).
R(x,y,R(z \ u,z,w) \ v5) = R(x,y,((z * w) \ (u * w)) \ v5).
R(x,y,z \ (u / T(w,v5))) = R(x,y,z \ (w \ u)).
R(x,y,z * ((u * w) \ w)) = R(x,y,z * ((w * u) \ w)).
R(x,y,L(z,u,u \ 1)) = R(x,y,(u * z) * (u \ 1)).
R(x,y,(z * u) * (z \ 1)) = R(x,y,L(u,z,z \ 1)).
R(x,y,z \ L(u,w,u)) = R(x,y,z \ u).
R(x,y,z \ u) = R(x,y,z \ R(u,w,u)).
R(x,y,z \ R(u,w,u)) = R(x,y,z \ u).
R(x,y,R(z \ u,w,u)) = R(x,y,R(z,w,u) \ u).
R(x,y,z * L(u,w,u)) = R(x,y,z * u).
R(x,y,z * u) = R(x,y,L(u,w,u) * z).
R(x,y,L(z,u,z) * w) = R(x,y,w * z).
R(x,y,a(z,u,z) \ w) = R(x,y,(z \ w) * z).
R(x,y,a(z,u,z) \ w) = R(x,y,w).
R(x,y,z) = R(x,y,a(u,w,u) * z).
R(x,y,a(z,u,z) * w) = R(x,y,w).
R(x,y,R(z,u,z) \ w) = R(x,y,z \ w).
R(x,y,z \ (u \ w)) = R(x,y,z \ (L(u,v5,u) \ w)).
R(x,y,z \ (L(u,w,u) \ v5)) = R(x,y,z \ (u \ v5)).
R(x,y,(L(z,u,z) \ w) \ v5) = R(x,y,(z \ w) \ v5).
(a(x,y,x) \ z) / (L(x,y,x) * z) = R(1 / x,x,z).
R(x,y,R(z,u,z) * w) = R(x,y,z * w).
R(x,y,R(z \ u,w,z)) = R(x,y,z \ R(u,w,z)).
R(x,y,R(z * u,w,z)) = R(x,y,z * R(u,w,z)).
R(x,y,L(z,u,u \ 1)) = R(x,y,R(z,u,u \ 1)).
R(x,y,((1 / z) * u) * z) = R(x,y,L(u,z,z \ 1)).
R(x,y \ 1,L(z,y,y \ 1)) = R(x,y \ 1,z).
R(x,y,L(z,1 / y,(1 / y) \ 1)) = R(x,(1 / y) \ 1,z).
R(x,((y / (z * y)) \ 1) \ 1,L(u,(y / (z * y)) \ 1,R(z \ 1,z,y))) = R(x,((y / (z * y)) \ 1) \ 1,u).
R(1 / x,x,y) = a(x,z,x) \ (y / (L(x,z,x) * y)).
a(x,y,x) \ (z / (L(x,y,x) * z)) = R(1 / x,x,z).
R(x,y,L(z,u,u \ 1)) = R(x,y,u * ((1 / u) * z)).
R(x,y,z * ((1 / z) * u)) = R(x,y,L(u,z,z \ 1)).
R(x * R(1 / x,x,y),z,x) = x * R(y / (L(x,z,x) * y),z,x).
x * R(y / (L(x,z,x) * y),z,x) = R(x * R(1 / x,x,y),z,x).
R(x,y,((z / u) * w) * v5) = R(x,y,v5 * ((u \ z) * w)).
R(x,y,((z \ 1) * u) * z) = R(x,y,L(u,z,z \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,u * ((u \ 1) * z)).
R(x,y,z * ((z \ 1) * u)) = R(x,y,L(u,z,z \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,u * (z * (u \ 1))).
R(x,y,z * (u * (z \ 1))) = R(x,y,L(u,z,z \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,L(z,u \ 1,u)).
R(x,y,L(z,u \ 1,u)) = R(x,y,L(z,u,u \ 1)).
R(x,y,z * u) = R(x,y,L((z \ 1) \ u,z,z \ 1)).
R(x,y,L((z \ 1) \ u,z,z \ 1)) = R(x,y,z * u).
R(x,y \ 1,y * z) = R(x,y \ 1,(y \ 1) \ z).
R(x,y \ 1,(y \ 1) \ z) = R(x,y \ 1,y * z).
R(x,1 / y,(y \ 1) \ z) = R(x,y \ 1,y * z).
R(x,y \ 1,(y \ 1) \ z) = R(x,y \ 1,z * y).
R(x,1 / y,(1 / y) \ z) = R(x,y \ 1,y * z).
R(x,1 / y,y * z) = R(x,1 / y,(1 / y) \ z).
R(x,1 / y,(1 / y) \ z) = R(x,1 / y,y * z).
R(x,y,z * (K(u,w) * v5)) = R(x,y,v5 * z).
R(x,y,z \ ((u / w) * v5)) = R(x,y,z \ (v5 * (w \ u))).
R(x,y,z \ (u / (z \ 1))) = R(x,y,(z \ 1) \ (z \ u)).
R(x,y,(z \ 1) \ (z \ u)) = R(x,y,z \ (u / (z \ 1))).
(x \ ((1 / y) \ x)) / y = y \ (x \ ((1 / y) \ x)).
(x \ ((1 / y) \ x)) * (y \ 1) = y \ (x \ ((1 / y) \ x)).
R(x,y,L((z * u) \ u,w,v5)) = R(x,y,L((u * z) \ u,w,v5)).
R(x,y,z * ((u \ w) * v5)) = R(x,y,z * ((w / u) * v5)).
R(x,y,z * ((u / w) * v5)) = R(x,y,z * ((w \ u) * v5)).
R(x,y,z \ L(u,w,w \ 1)) = R(x,y,z \ ((w * u) * (w \ 1))).
R(x,y,z \ ((u * w) * (u \ 1))) = R(x,y,z \ L(w,u,u \ 1)).
R(x,y,(z \ 1) \ (z \ u)) = R(x,y,z \ ((z \ 1) \ u)).
R(x,y,(y \ 1) * x) = T(((1 / y) * x) * y,y \ x).
T(((1 / x) * y) * x,x \ y) = R(y,x,(x \ 1) * y).
L(R(x,y,y \ 1),y \ 1,x) = R(x,y,(y \ 1) * x).
R(x,(y \ z) \ z,(y \ 1) * x) = L(R(x,y,y \ 1),y \ 1,x).
(x * (y \ (y / x))) \ 1 = (y / x) \ R(y / x,x,y \ (x \ y)).
(x / y) \ R(x / y,y,x \ (y \ x)) = (y * (x \ (x / y))) \ 1.
R(x,y,(z * u) \ (u * (w * z))) = R(x,y,L(w,z,u)).
R(x,y,L(z,y,x)) \ (x * (z * y)) = y * ((x * y) \ (x * (z * y))).
R(x,y,L(z,y,x)) = (x * (z * y)) / (y * ((x * y) \ (x * (z * y)))).
(x * (y * z)) / (z * ((x * z) \ (x * (y * z)))) = R(x,z,L(y,z,x)).
R(x,y,L(z,u,w)) = R(x,y,R(z,u,w)).
R(x,R(y \ 1,z,u),L(y,z,u)) = R(x,R(y,z,u),R(y \ 1,z,u)).
R(x,y,L(z \ u,w,u)) = R(x,y,R(z,w,u) \ u).
R(x,y,L(z \ u,w,z)) = R(x,y,z \ R(u,w,z)).
R(x,y,L(z * u,w,z)) = R(x,y,z * R(u,w,z)).
R(x,y,L(z,1 / y,y)) = R(x,(1 / y) \ 1,z).
R(x,y,L(z,y \ 1,y)) = R(x,(1 / y) \ 1,z).
R(x,(1 / y) \ 1,z) = R(x,y,L(z,y,y \ 1)).
R(x,y,L(z,y,y \ 1)) = R(x,(1 / y) \ 1,z).
R(x,y,L(z,y,y \ 1)) = R(x,y,z).
R(x,y,(1 / y) * z) = R(x,y,y \ z).
R(x,y,y \ z) = R(x,y,(y \ 1) * z).
R(x,y,(y \ 1) * z) = R(x,y,y \ z).
R(x,y,y \ z) = R(x,y,z * (y \ 1)).
R(x,y,z * (y \ 1)) = R(x,y,y \ z).
T(((1 / x) * y) * x,x \ y) = R(y,x,x \ y).
L(R(x,y,y \ 1),y \ 1,x) = R(x,y,y \ x).
(x * (y / z)) * ((y / z) \ u) = (x * (z \ y)) * ((z \ y) \ u).
((x / y) * (x \ y)) * ((x \ y) \ ((x / y) \ 1)) = 1.
((x / (x * y)) * y) * ((x \ (x * y)) \ ((x / (x * y)) \ 1)) = 1.
((x / (x * y)) * y) * (y \ ((x / (x * y)) \ 1)) = 1.
1 != ((x / (x * y)) * y) * z | y \ ((x / (x * y)) \ 1) = z.
((x / (x * y)) * y) * z != 1 | y \ ((x / (x * y)) \ 1) = z.
1 = a(x / (x * y),y,y \ ((x / (x * y)) \ 1)).
a(x / (x * y),y,y \ ((x / (x * y)) \ 1)) = 1.
R(x,y,R(z,u,w) \ v5) = R(x,y,((u * w) \ ((u * z) * w)) \ v5).
R(x,y,((z * u) \ ((z * w) * u)) \ v5) = R(x,y,R(w,z,u) \ v5).
R(x,y,z \ L(u,w,w \ 1)) = R(x,y,z \ R(u,w,w \ 1)).
R(x,y,z \ L(z,u,u \ 1)) = R(x,y,a(z,u,u \ 1)).
R(L(x,y,z),(u \ w) \ w,u \ L(L(x,u \ 1,u),y,z)) = L(R(L(x,y,z),u,u \ 1),u \ 1,L(x,y,z)).
R(x,y,z * ((u * w) * (1 / w))) = R(x,y,z * L(u,w,w \ 1)).
R(x,y,z * L(u,w,w \ 1)) = R(x,y,z * ((u * w) * (w \ 1))).
R(x,y,z * ((u * w) * (w \ 1))) = R(x,y,z * L(u,w,w \ 1)).
R(x,y,z * R(u,w,w \ 1)) = R(x,y,z * L(u,w,w \ 1)).
R(x,y,z * L(u,w,w \ 1)) = R(x,y,z * R(u,w,w \ 1)).
R(x,y,z * (((1 / u) * w) * u)) = R(x,y,z * L(w,u,u \ 1)).
x * y != R(x * R(1 / x,z,u),w,x) | y = R(1 / x,z,u).
R(x / (L(y,z,y) * x),z,y) = R(1 / y,y,x).
R(1 / x,x,y) = R(1 / x,x,R(y,z,x)).
R(1 / x,x,R(y,z,x)) = R(1 / x,x,y).
R((1 / x) \ 1,x,R(y,z,x)) = R(1 / x,x,y) \ 1.
R(1 / x,x,L(y,z,x)) = R(1 / x,x,y).
R(T(1 / x,y),x,L(z,u,x)) = T(R(1 / x,x,z),y).
R(1 / x,x,y) = L(y,z,x) / (x * L(y,z,x)).
L(x,y,z) / (z * L(x,y,z)) = R(1 / z,z,x).
R(1 / x,x,y) * (x * L(y,z,x)) = L(y,z,x).
R((1 / x) \ 1,x,R(y,z,x)) = R(x,x,y).
R(x,x,R(y,z,x)) = R(x,x,y).
R(x,x,L(y,z,x)) = R(x,x,y).
R(x,x,y) \ ((x * x) * L(y,z,x)) = x * L(y,z,x).
R(x,x,(x * y) \ z) = R(x,x,y \ (x \ z)).
R(K(x,y) / z,z,L(u,w,z)) = K(x,y) / R(z,z,u).
R(x,x,x \ (x \ y)) = y / (x * ((x * x) \ y)).
R(x,x,x \ (x \ y)) \ y = x * ((x * x) \ y).
R(T(1 / x,y),x,z) = R(T(1 / x,y),x,L(z,u,x)).
R(T(1 / x,y),x,L(z,u,x)) = R(T(1 / x,y),x,z).
R(x,x,y) \ (x * (x * y)) = x * L(y,x,x).
R(K(x,y) / z,z,u) = R(K(x,y) / z,z,L(u,w,z)).
R(K(x,y) / z,z,L(u,w,z)) = R(K(x,y) / z,z,u).
R(T(1 / x,y * x),x,y) = (x * L(y,x,x)) \ L(y,x,x).
(x * L(y,x,x)) \ L(y,x,x) = R(T(1 / x,y * x),x,y).
(x * L(y,x,x)) \ L(y,x,x) = (x * y) \ y.
(x * (y * z)) / (z * L(T(y,z),z,x)) = R(x,z,L(y,z,x)).
(x * (y * z)) / (L(y,z,x) * z) = R(x,z,L(y,z,x)).
((R(x,y,z) \ x) * (x * u)) / (x * u) = R(R(x,y,z) \ x,u,L(x,u,R(x,y,z) \ x)).
R(R(x,y,z) \ x,u,L(x,u,R(x,y,z) \ x)) = ((R(x,y,z) \ x) * (x * u)) / (x * u).
((x \ L(x,y,z)) * (x * u)) / (x * u) = R(x \ L(x,y,z),u,L(x,u,x \ L(x,y,z))).
R(x \ L(x,y,z),u,L(x,u,x \ L(x,y,z))) = ((x \ L(x,y,z)) * (x * u)) / (x * u).
((L(x,y,z) \ x) * (x * u)) / (x * u) = R(L(x,y,z) \ x,u,L(x,u,L(x,y,z) \ x)).
R(L(x,y,z) \ x,u,L(x,u,L(x,y,z) \ x)) = ((L(x,y,z) \ x) * (x * u)) / (x * u).
R(x,R(y,z,u),L(y \ 1,z,u)) = R(x,R(y \ 1,z,u),L(y,z,u)).
R(x,R(y \ 1,z,u),L(y,z,u)) = R(x,R(y,z,u),L(y \ 1,z,u)).
R(x,L(y \ 1,z,u),L(y,z,u)) = R(x,R(y,z,u),L(y \ 1,z,u)).
R(x,L(y,z,u),L(y \ 1,z,u)) = R(x,L(y \ 1,z,u),L(y,z,u)).
R(x,L(y \ 1,z,u),L(y,z,u)) = R(x,L(y,z,u),L(y \ 1,z,u)).
L(x,y,L(1 / z,u,z \ 1) * T(w,v5)) = L(x,y,w * (K(w,v5) / z)).
L(x \ (a(y,z,u) \ x),x,w) = (x * w) \ ((a(y,z,u) \ x) * w).
L(x,(y * z) / y,(y / (y * z)) \ 1) = L(x,((y * z) \ y) \ 1,z).
L(x,((y * z) \ y) \ 1,z) = L(x,(y * z) / y,((y * z) \ y) \ 1).
L(x,(y * z) / y,((y * z) \ y) \ 1) = L(x,((y * z) \ y) \ 1,z).
L(x,((y * z) \ y) \ 1,z) = L(x,z,((y * z) \ y) \ 1).
R(1 / x,y,z) \ L(u,L(x,y,z),L(x \ 1,y,z)) = R(x,y,z) * u.
L(x,R(y * (K(z,u) * w),v5,v6),v7) = L(x,R(w * y,v5,v6),v7).
L(x,L(y * (K(z,u) * w),v5,v6),v7) = L(x,R(w * y,v5,v6),v7).
L(x,L(y * z,u,w),v5) = L(x,L(z * (K(v6,v7) * y),u,w),v5).
L(x,L(y * (K(z,u) * w),v5,v6),v7) = L(x,L(w * y,v5,v6),v7).
T(x,y) \ a(z \ 1,x \ z,x) = T((1 / z) * (z / T(x,y)),x).
1 / (x \ a(y,z,u)) = T((a(y,z,u) / x) \ 1,x).
T((a(x,y,z) / u) \ 1,u) = 1 / (u \ a(x,y,z)).
T((a(x,y,z) * u) \ 1,L(u \ 1,u,a(x,y,z))) = 1 / (L(u \ 1,u,a(x,y,z)) \ a(x,y,z)).
(x * ((y \ z) \ z)) * y = (x * y) * ((y \ z) \ z).
(x * (y \ (y / x))) * x = ((y \ (y / x)) * x) * ((x \ 1) \ 1).
((x \ (x / y)) * y) * ((y \ 1) \ 1) = (y * (x \ (x / y))) * y.
L(x,y,((z / (1 / z)) * u) \ (u * z)) = L(x,y,L(z \ 1,z * z,u)).
R(x,((y * z) \ (z * (u * y))) \ w,v5) = R(x,L(u,y,z) \ w,v5).
(x \ (x / y)) / T(y * (x \ (x / y)),z) = y \ 1.
(x \ (x / y)) / (y * (x \ (x / y))) = y \ 1.
(x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)).
x \ (y \ (y / (1 / x))) = (1 / x) * (y \ (y / (1 / x))).
(1 / x) * (y \ (y / (1 / x))) = x \ (y \ (y / (1 / x))).
(x * (y \ (y / x))) * (x \ 1) = L(x \ 1,x,x \ y).
((x / (1 / y)) \ x) * (z \ (z / (1 / y))) = y \ (z \ (z / (1 / y))).
x \ (y \ (y / (1 / x))) = (x \ 1) * (y \ (y / (x \ 1))).
(x \ 1) * (y \ (y / (x \ 1))) = x \ (y \ (y / (1 / x))).
L(x,y,z * (K(z,u) / w)) = L(x,y,L(1 / w,v5,w \ 1) * z).
L(x,y,L(1 / z,u,z \ 1) * w) = L(x,y,w * (K(w,v5) / z)).
L(x,y,z * L(z \ 1,u,z \ 1)) = L(x,y,z * (K(z,w) / z)).
L(x,y,z \ R(z,u,z \ 1)) = L(x,y,z * (K(z,w) / z)).
L(x,y,z \ R(z,u,z \ 1)) = L(x,y,K(z,w)).
L(x,y,K(z,u)) = L(x,y,z \ R(z,w,z \ 1)).
L(x,y,z \ R(z,u,z \ 1)) = x.
L(x,y,a(z,u,z \ 1)) = x.
L(x,y,L(z \ 1,z * z,u)) = L(x,y,(((1 / z) \ z) * u) \ (u * z)).
L(x,y,(((1 / z) \ z) * u) \ (u * z)) = L(x,y,L(z \ 1,z * z,u)).
L(x,y,L(z \ 1,z * z,u)) = L(x,y,((z * z) * u) \ (u * z)).
L(x,y,((z * z) * u) \ (u * z)) = L(x,y,L(z \ 1,z * z,u)).
L(x,y,L(z \ 1,z * z,u)) = L(x,y,(u * (z * z)) \ (u * z)).
L(x,y,(z * (u * u)) \ (z * u)) = L(x,y,L(u \ 1,u * u,z)).
L(x,y,(z \ (T(u,w) * v5)) * v6) = L(x,y,v6 * ((u * v5) / z)).
L(x,y,(z \ (T(u,w) * v5)) * v6) = L(x,y,v6 * (z \ (u * v5))).
L(x,y,(z \ (((u \ w) \ w) * v5)) * v6) = L(x,y,v6 * (z \ (u * v5))).
L(x,y,z * (u \ (w * v5))) = L(x,y,z * (u \ (v5 * ((w \ v6) \ v6)))).
L(x,y,z * (u \ (w * ((v5 \ v6) \ v6)))) = L(x,y,z * (u \ (v5 * w))).
L(x,y,(z \ (T(u,w) \ v5)) * v6) = L(x,y,v6 * ((u \ v5) / z)).
L(x,y,(z \ (T(u,w) \ v5)) * v6) = L(x,y,v6 * (z \ (u \ v5))).
x * K(y,y \ z) != L(z / y,u,w) / (y \ z) | x = (y \ z) \ L(y \ z,u,w).
(x / y) \ L(x / y,z,u) = (y \ x) \ L(y \ x,z,u).
a(K(x,y) * (((z * x) \ u) \ w),v5,v6) = a(((z * T(x,y)) \ u) \ w,v5,v6).
T(T(x * K(y,x),z),T(T(y,u),w)) = T(T(x,K(y,u)),K(y,T(w,u)) * z).
T(x,T((y / z) / y,T(z,y)) * u) = T(x,T(u,z) * ((y / z) / y)).
T(x,T((y / z) / y,z) * u) = T(x,T(u,z) * ((y / z) / y)).
T(x,T(y \ (y / z),u) * w) = T(x,K(u,z) * ((y \ (y / z)) * w)).
T(x,K(y,z) * ((u \ (u / z)) * w)) = T(x,T(u \ (u / z),y) * w).
T(x,(y \ (y / T(z,u))) * w) = T(x,T(y \ (y / z),u) * w).
T(x,T(y \ (y / z),u / w) * w) = T(x,w * (u \ (z \ u))).
T(x,y \ T(z * (u * (z \ 1)),u)) = T(x,z \ (((u * z) \ T(y,z)) \ 1)).
T((T(x,y) \ (x * y)) \ 1,x * y) = T(y * K(y * x,y \ 1),x) \ 1.
(x \ y) * (L(x \ y,z,u) \ w) = (y / x) * (L(y / x,z,u) \ w).
(x / y) * (L(x / y,z,u) \ w) = (y \ x) * (L(y \ x,z,u) \ w).
(x \ y) \ L((x \ y) * z,u,w) = (y / x) \ L((y / x) * z,u,w).
(x / y) \ L((x / y) * z,u,w) = (y \ x) \ L((y \ x) * z,u,w).
(x / y) \ L(x,z,u) = (y \ x) \ L((y \ x) * y,z,u).
(x \ y) \ L((x \ y) * x,z,u) = (y / x) \ L(y,z,u).
T((1 / x) * T(y,y * (1 / x)),x) = x \ L(R(y,x,x \ 1),x \ 1,y).
L(x,x,R((K(x,y) * z) \ 1,u,w) \ x) = L(x,x,T(x,y) * R(z,u,w)).
L(x,y \ (K(z,u) * (w * (v5 * z))),v6) = L(x,y \ ((v5 * T(z,u)) * w),v6).
R(x,y,z) * R(u,x,x \ R(x,y,z)) = (x * u) * (x \ R(x,y,z)).
L(x,y,y \ R(y,z,u)) = R(x,y,y \ R(y,z,u)).
L(x,y,z) * R(u,x,x \ L(x,y,z)) = (x * u) * (x \ L(x,y,z)).
L(x,y,y \ L(y,z,u)) = R(x,y,y \ L(y,z,u)).
L(x \ L(x,y,y \ L(y,z,u)),x,L(y,z,u)) = a(x,y,y \ L(y,z,u)).
L((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = L(x,y,z) \ (x * u).
L((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = x * (L(x,y,z) \ u).
T(((x \ (x / y)) \ 1) * K(z,u),y) = (x \ (x / y)) \ K(z,T(u,y)).
T((x \ (x / y)) \ K(z,u),y) = (x \ (x / y)) \ K(z,T(u,y)).
(x \ (x / y)) \ K(z,T(u,y)) = T((x \ (x / y)) \ K(z,u),y).
(x \ ((y * (1 / x)) \ y)) * ((x \ 1) \ 1) = (y * (x \ 1)) \ y.
a(x,(((1 / y) * z) * y) * u,w) = a(x,((y \ 1) * (z * y)) * u,w).
a(x,((y * (z \ 1)) * z) * u,w) = a(x,((z \ 1) * (y * z)) * u,w).
a(x,((y \ 1) * (z * y)) * u,w) = a(x,(y * (z * (y \ 1))) * u,w).
a(x,(y * (z * (y \ 1))) * u,w) = a(x,((y \ 1) * (y * z)) * u,w).
a(x,((y \ 1) * (y * z)) * u,w) = a(x,(y * (z * (y \ 1))) * u,w).
a(x,(((1 / y) * z) * y) * u,w) = a(x,(y * (z * (y \ 1))) * u,w).
a(x,(y * (z * (y \ 1))) * u,w) = a(x,R(z,y,y \ 1) * u,w).
a(x,(y * (z * (y \ 1))) * u,w) = a(x,(y * ((1 / y) * z)) * u,w).
a(x,(y * ((1 / y) * z)) * u,w) = a(x,(y * (z * (y \ 1))) * u,w).
a(x,(y * ((1 / y) * z)) * u,w) = a(x,R(z,y,y \ 1) * u,w).
a(x,R((y \ z) \ z,u,z) \ w,v5) = a(x,(z * R(z \ y,u,z)) \ w,v5).
a(L(x,y,z),L(x \ 1,y,z),u) \ u = L(u,R(x,y,z) \ 1,R(x,y,z)).
(x / (y * x)) * ((1 / y) \ (z * (y \ 1))) = z * R(y \ 1,y,x).
(x * (1 / y)) / R(y * (x / y),y,y \ 1) = R(1 / y,y,y \ x).
(x * (1 / y)) / (y * (x * (1 / y))) = R(1 / y,y,y \ x).
R(x / R(1 / y,y,y \ z),(y * (z * (1 / y))) \ (z * (1 / y)),y * (z * (1 / y))) = (x * (y * (z * (1 / y)))) / (z * (1 / y)).
R(x,y,(((z \ u) * z) \ w) * v5) = R(x,y,v5 * (u \ w)).
a(((x * T(y,z)) \ u) \ w,v5,v6) = a(((x * y) \ u) \ w,v5,v6).
a(((x * y) \ z) \ u,w,v5) = a(((x * (v6 / (v6 / y))) \ z) \ u,w,v5).
a(((x * (y / (y / z))) \ u) \ w,v5,v6) = a(((x * z) \ u) \ w,v5,v6).
a((x / (y * (z / (z / u)))) \ w,v5,v6) = a(((y * u) \ x) \ w,v5,v6).
a((x / (y * z)) \ u,w,v5) = a((x / (y * (v6 / (v6 / z)))) \ u,w,v5).
a((x / (y * (z / (z / u)))) \ w,v5,v6) = a((x / (y * u)) \ w,v5,v6).
a((x / (y * (z / u))) \ w,v5,v6) = a((x / (y * (u \ z))) \ w,v5,v6).
a((x / (y * (z \ u))) \ w,v5,v6) = a(((y * (u / z)) \ x) \ w,v5,v6).
T(T(x * K(y,x),z),T(T(y,u),w)) = T(T(x,K(y,u)),K(y,w) * z).
T(T(x * K(y,x),z),T(T(y,u),w)) = T(x,K(u,y) * (K(y,w) * z)).
T(x,K(y,z) * (K(z,u) * w)) = T(T(x * K(z,x),w),T(z,u * y)).
T(T(x * K(y,x),z),T(y,u * w)) = T(x,K(w,y) * (K(y,u) * z)).
T(x,K(y,z) * (K(z,u) * w)) = T(x,K(u * y,z) * w).
T(x,K(y * z,u) * w) = T(x,K(u,y) * (K(u,z) * w)).
T(x,K(y,z) * (K(y,u) * w)) = T(x,K(z * u,y) * w).
T(x,K(y * z,u) * w) = T(x,K(u,z) * (w * K(u,y))).
T(x,K(y,z) * (u * K(y,w))) = T(x,K(w * z,y) * u).
T(x,K(y * T(z,y),u) * (w / u)) = T(x,w / T(u * K(y,u),z)).
T(x,K(y * z,u) * (w / u)) = T(x,w / T(u * K(z,u),y)).
T(x,y / T(z * K(u,z),w)) = T(x,K(w * u,z) * (y / z)).
T(x,y / T(z * K(u,z),w)) = T(x,y / T(z,w * u)).
T(x,y / T(z,u * w)) = T(x,y / T(T(z,u),w)).
T(x,y / T(T(z,u),w)) = T(x,y / T(z,u * w)).
T(x,T(y,T(z,u)) / T(z,u * w)) = T(x,T(T(z,u),w) \ y).
T(x,T(T(y,z),u) \ w) = T(x,T(w,y) / T(y,z * u)).
T(x,T(y,z) / T(z,u * w)) = T(x,T(T(z,u),w) \ y).
T(x,T(T(y,z),u) \ w) = T(x,T(y,z * u) \ w).
T(x,T(y,z * u) \ T(w,z)) = T(x,T(T(y,u) \ w,z)).
T(x,T(y \ z,y * u) \ w) = T(x,T(z / y,u) \ w).
T(x,T(y,(z \ 1) * u) \ w) = T(x,T(T(y,u),z) \ w).
T(x,T(y,z \ u) \ w) = T(x,T(T(y,u),z) \ w).
T(x,T(T(y,z),u) \ w) = T(x,T(y,u \ z) \ w).
T(x,T(y,z \ u) \ w) = T(x,T(y,u * z) \ w).
T(x,T(y,z / u) \ w) = T(x,T(y,z * u) \ w).
T(x,T(y,T(z,y \ 1) \ u) * w) = T(x,T(y \ 1,u * z) \ w).
T(x,T(y,z / T(u,y \ 1)) * w) = T(x,T(y \ 1,z * u) \ w).
T(x,T(y,T(z,y \ 1) \ u) * w) = T(x,T(y,u * z) * w).
T(x,T(y,T(z,y) \ u) * w) = T(x,T(y,u * z) * w).
T(x,T(y,z \ u) * w) = T(x,T(y,u * z) * w).
T(x,T((T(y,z \ 1) / z) / y,y * z) * u) = T(x,((y / z) / y) * u).
T(x,T(y,z / T(u,y \ 1)) * w) = T(x,T(y,z * u) * w).
T(x,T(y,z / T(u,y)) * w) = T(x,T(y,z * u) * w).
T(x,T(y,z / u) * w) = T(x,T(y,z * u) * w).
T(x,T(y \ (y / z),u * w) * w) = T(x,w * (u \ (z \ u))).
T(x,y \ T(z * (u * (z \ 1)),u)) = T(x,y \ ((z \ 1) * (u * z))).
T(x,y \ (z * (u * (z \ 1)))) = T(x,y \ ((z \ 1) * (u * z))).
T(x,y \ ((z \ 1) * (u * z))) = T(x,y \ (z * (u * (z \ 1)))).
T(x,y \ (z * (y * (z \ 1)))) = T(x,K(y,z)).
T(x,y \ ((z \ (y \ z)) \ 1)) = T(x,K(z,y)).
T(x,y \ ((z \ (y \ z)) \ 1)) = T(x,K(y,z)).
T((T(x,y) \ (x * y)) \ 1,x * y) = (x \ T(y * x,1 / y)) \ 1.
T((T(x,y) \ (x * y)) \ 1,x * y) = (x \ T(y * x,y \ 1)) \ 1.
T((K(x,y) * x) \ 1,y * x) = (y \ T(x * y,x \ 1)) \ 1.
T(T(x,y) \ 1,y * x) = (y \ T(x * y,x \ 1)) \ 1.
(x \ T(y * x,y \ 1)) \ 1 = T(T(y,x) \ 1,x * y).
T((1 / x) * T(y,y * (1 / x)),x) = x \ R(y,x,(x \ 1) * y).
T((1 / x) * T(y,x \ y),x) = x \ R(y,x,(x \ 1) * y).
T((1 / x) * T(y,x \ y),x) = x \ R(y,x,x \ y).
L(x,x,R(y \ (K(z,x) * 1),u,w) \ x) = L(x,x,T(x,z) * R(y,u,w)).
L(x,y \ ((z * T(u,w)) * v5),v6) = L(x,y \ (v5 * (z * u)),v6).
a(x,(y * R(y \ z,u,y)) \ w,v5) = a(x,R(z,u,y) \ w,v5).
a(L(x,y,z),L(x \ 1,y,z),u) \ u = L(u,R(x \ 1,y,z),R(x,y,z)).
L(x,x,R(y \ K(z,x),u,w) \ x) = L(x,x,T(x,z) * R(y,u,w)).
L(x,R(y \ 1,z,u),L(y,z,u)) = a(L(y,z,u),L(y \ 1,z,u),x) \ x.
a(L(x,y,z),L(x \ 1,y,z),u) \ u = L(u,R(x \ 1,y,z),L(x,y,z)).
L(x,L(y \ 1,z,u),L(y,z,u)) = a(L(y,z,u),L(y \ 1,z,u),x) \ x.
a(L(x,y,z),L(x \ 1,y,z),u) \ u = L(u,L(x \ 1,y,z),L(x,y,z)).
L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,(z \ R(v5,w,u)) * K(w,u)).
a(x,y,K(z,u) * w) = a(x,y,w).
a(x,y,R(K(z,u) * w,v5,v6)) = a(x,y,R(w,v5,v6)).
a(x,y,z * u) = a(x,y,u * z).
a(x,y,T(z,u) * w) = a(x,y,z * w).
a(x,y,z \ u) = a(x,y,T(z,w) \ u).
a(x,y,T(z,u) \ w) = a(x,y,z \ w).
a(x,y,(z \ u) * z) = a(x,y,u).
a(x,y,(z * u) * w) = a(x,y,(u * z) * w).
a(x,y,(z * u) / w) = a(x,y,(u * z) / w).
a(x,y,(z \ u) * w) = a(x,y,(u / z) * w).
a(x,y,(z / u) * w) = a(x,y,(u \ z) * w).
a(x,y,(T(z,u) * w) * v5) = a(x,y,(z * w) * v5).
a(x,y,(z / u) \ w) = a(x,y,(u \ z) \ w).
a(x,y,z \ u) = a(x,y,((z \ w) \ w) \ u).
a(x,y,((z \ u) \ u) \ w) = a(x,y,z \ w).
a(x,y,(z * u) * R(w,z,u)) = a(x,y,(w * z) * u).
a(x,y,((z / u) * w) * v5) = a(x,y,((u \ z) * w) * v5).
a(x,y,((z / u) \ w) * v5) = a(x,y,((u \ z) \ w) * v5).
a(x,y,L(z,u,w) \ v5) = a(x,y,L(T(z,v6),u,w) \ v5).
a(x,y,L(T(z,u),w,v5) \ v6) = a(x,y,L(z,w,v5) \ v6).
a(x,y,z * K(u,w)) = a(x,y,z).
a(x,y,z * (T(u,w) * v5)) = a(x,y,z * (u * v5)).
a(x,y,L(z / u,w,v5) * v6) = a(x,y,L(u \ z,w,v5) * v6).
a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5).
a(x,y,z \ K(u,w)) = a(x,y,z \ 1).
a(x,y,z \ T(u,w)) = a(x,y,z \ u).
a(x,y,((z \ u) * z) \ w) = a(x,y,u \ w).
a(x,y,(z * u) \ w) = a(x,y,(z * T(u,v5)) \ w).
a(x,y,(z * T(u,w)) \ v5) = a(x,y,(z * u) \ v5).
a(x,y,(z \ u) \ w) = a(x,y,(z \ T(u,v5)) \ w).
a(x,y,(z \ T(u,w)) \ v5) = a(x,y,(z \ u) \ v5).
a(x,y,(z * (u / z)) \ w) = a(x,y,u \ w).
a(x,y,(z \ K(u,w)) * v5) = a(x,y,(z \ 1) * v5).
a(x,y,(T(z,u) \ w) \ v5) = a(x,y,(z \ w) \ v5).
a(x,y,(z \ (K(u,w) * v5)) * v6) = a(x,y,(z \ v5) * v6).
a(x,y,((z * u) \ w) * v5) = a(x,y,((u * z) \ w) * v5).
a(x,y,L(K(z,u) * w,v5,v6)) = a(x,y,L(w,v5,v6)).
a(x,y,z * u) = a(x,y,z * T(u,w)).
a(x,y,z * T(u,w)) = a(x,y,z * u).
a(x,y,z * (u / w)) = a(x,y,z * (u / T(w,v5))).
a(x,y,z * (u / T(w,v5))) = a(x,y,z * (u / w)).
a(x,y,z \ R(z,u,w)) = a(x,y,(z \ 1) * R(z,u,w)).
a(x,y,(z \ 1) * R(z,u,w)) = a(x,y,z \ R(z,u,w)).
a(x,y,z \ L(z,u,w)) = a(x,y,(z \ 1) * L(z,u,w)).
a(x,y,(z \ 1) * L(z,u,w)) = a(x,y,z \ L(z,u,w)).
a(x,y,L(z,u,u \ 1)) = a(x,y,(u * z) * (1 / u)).
a(x,y,(z * u) * (1 / z)) = a(x,y,L(u,z,z \ 1)).
a(x,y,K(z,u) * (w * v5)) = a(x,y,v5 * (K(z,u) * w)).
a(x,y,R(z * K(u,w),v5,v6)) = a(x,y,R(z,v5,v6)).
a(x,y,z * (u * K(w,v5))) = a(x,y,z * u).
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)) = a(x,y,z * (w \ u)).
a(x,y,z \ ((u \ w) \ w)) = a(x,y,z \ u).
a(x,y,z \ ((u \ w) * u)) = a(x,y,z \ w).
a(x,y,z \ (u * (w / u))) = a(x,y,z \ w).
a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)).
a(x,y,z \ (u * T(w,v5))) = a(x,y,z \ (u * w)).
a(x,y,z \ (u \ T(w,v5))) = a(x,y,z \ (u \ w)).
a(x,y,(z \ u) * K(w,u)) = a(x,y,z \ L(u,w,u)).
a(x,y,z \ (u \ (K(w,v5) * v6))) = a(x,y,z \ (u \ v6)).
a(x,y,z \ (u * (K(w,v5) * v6))) = a(x,y,z \ (u * v6)).
a(x,y,L(z * K(u,w),v5,v6)) = a(x,y,L(z,v5,v6)).
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,(K(z,u) * (w * z)) * v5) = a(x,y,(w * T(z,u)) * v5).
a(x,y,T(z,u) * w) = a(x,y,w * z).
a(x,y,R(z,u,u \ 1) \ w) = a(x,y,((u * z) * (u \ 1)) \ w).
a(x,y,((z * u) * (z \ 1)) \ w) = a(x,y,R(u,z,z \ 1) \ w).
a(x,y,(z \ (u / (z \ 1))) \ w) = a(x,y,((u / z) / (1 / z)) \ w).
a(x,y,((z / u) / (1 / u)) \ w) = a(x,y,(u \ (z / (u \ 1))) \ w).
a(x,y,(z \ (K(u,w) * v5)) \ v6) = a(x,y,(K(u,w) * (v5 / z)) \ v6).
x * a(x,T(y,z),y \ x) = R(x,T(y,z),T(y,z) \ x).
R(x,T(y,z),T(y,z) \ x) = x * a(x,T(y,z),y \ x).
a(x,y,z \ R(u,w,w \ 1)) = a(x,y,z \ ((w * u) * (w \ 1))).
a(x,y,z \ ((u * w) * (u \ 1))) = a(x,y,z \ R(w,u,u \ 1)).
a(x,y,z \ (u \ (w / (u \ 1)))) = a(x,y,z \ ((w / u) / (1 / u))).
a(x,y,z \ ((u / w) / (1 / w))) = a(x,y,z \ (w \ (u / (w \ 1)))).
a(x,y,z * R(T(u,w),v5,v6)) = a(x,y,z * R(u,v5,v6)).
a(x,y,z * R(u,w,w \ 1)) = a(x,y,z * ((w * u) * (w \ 1))).
a(x,y,z * ((u * w) * (u \ 1))) = a(x,y,z * R(w,u,u \ 1)).
a(x,y,z * (u \ (w / (u \ 1)))) = a(x,y,z * ((w / u) / (1 / u))).
a(x,y,z * ((u / w) / (1 / w))) = a(x,y,z * (w \ (u / (w \ 1)))).
a(x,y,z * R(u,w,w \ 1)) = a(x,y,z * (((1 / w) * u) * w)).
a(x,y,z * (((1 / u) * w) * u)) = a(x,y,z * R(w,u,u \ 1)).
a(x,y,z * L(u,w,u)) = a(x,y,z * (u * K(w,u))).
a(x,y,z * (u * K(w,u))) = a(x,y,z * L(u,w,u)).
a(x,y,(z * u) * w) = a(x,y,w * (u * z)).
a(x,y,(z * u) / w) = a(x,y,w \ (u * z)).
a(x,y,z * R(u,z,w)) = a(x,y,((z * w) \ ((z * u) * w)) * z).
a(x,y,((z * u) \ ((z * w) * u)) * z) = a(x,y,z * R(w,z,u)).
a(x,y,((z / (1 / u)) / u) * w) = a(x,y,((K(u,u \ 1) / u) \ (z / u)) * w).
a(x,y,((K(z,z \ 1) / z) \ (u / z)) * w) = a(x,y,((u / (1 / z)) / z) * w).
a(x,y,z \ (u * L(z,w,v5))) = a(x,y,(z \ u) * L(z,w,v5)).
a(x,y,K(z,u) * ((w / v5) \ v6)) = a(x,y,(v5 \ w) \ v6).
a(x,y,z \ (T(u,w) * v5)) = a(x,y,z \ (u * v5)).
a(x,y,z \ (u \ w)) = a(x,y,z \ (T(u,v5) \ w)).
a(x,y,z \ (T(u,w) \ v5)) = a(x,y,z \ (u \ v5)).
a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w).
a(x,y,z \ ((u / w) \ v5)) = a(x,y,z \ ((w \ u) \ v5)).
a(x,y,z \ ((u \ w) * v5)) = a(x,y,z \ ((T(u,v6) \ w) * v5)).
a(x,y,z \ ((T(u,w) \ v5) * v6)) = a(x,y,z \ ((u \ v5) * v6)).
a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5).
a(x,y,((z / u) * w) \ v5) = a(x,y,((u \ z) * w) \ v5).
a(x,y,((z / u) \ w) \ v5) = a(x,y,((u \ z) \ w) \ v5).
a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ ((u \ K(v5,v6)) \ w)).
a(x,y,z \ ((u \ K(w,v5)) \ v6)) = a(x,y,z \ ((u \ 1) \ v6)).
a(x,y,z \ (L(T(u,w),v5 \ 1,v5) \ u)) = a(x,y,z \ a(v5,v5 \ 1,u)).
a(x,y,L(z \ u,z,z \ w)) = a(x,y,w \ ((z \ w) * u)).
a(x,y,R((z \ u) * z,w,v5) \ v6) = a(x,y,R(u,w,v5) \ v6).
a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,(K(u,w) * (v5 * z)) \ v6).
a(x,y,(K(z,u) * (w * v5)) \ v6) = a(x,y,(v5 * (K(z,u) * w)) \ v6).
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 * R(u * K(w,v5),v6,v7)) = a(x,y,z * R(u,v6,v7)).
a(x,y,z * (u * T(w,v5))) = a(x,y,z * (u * w)).
a(x,y,z * (T(u,w) \ v5)) = a(x,y,z * (u \ v5)).
a(x,y,z * (u \ T(w,v5))) = a(x,y,z * (u \ w)).
a(x,y,z * (u * (w \ v5))) = a(x,y,z * (u * (v5 / w))).
a(x,y,z * (u * (w / v5))) = a(x,y,z * (u * (v5 \ w))).
a(x,y,z * (u \ (w / v5))) = a(x,y,z * (u \ (v5 \ w))).
a(x,y,z * (u \ (K(w,v5) * v6))) = a(x,y,z * (u \ v6)).
a(x,y,z * L(u * K(w,v5),v6,v7)) = a(x,y,z * L(u,v6,v7)).
a(x,y,L(z,u,w)) = a(x,y,(w * u) \ ((u * z) * w)).
a(x,y,(z * u) \ ((u * w) * z)) = a(x,y,L(w,u,z)).
a(x,y,L(z \ u,z,w)) = a(x,y,(w * z) \ (u * w)).
a(x,y,z \ L(u,w,w \ 1)) = a(x,y,z \ ((w * u) * (1 / w))).
a(x,y,z \ ((u * w) * (1 / u))) = a(x,y,z \ L(w,u,u \ 1)).
a(x,y,z * R(u * K(w,u),w,v5)) = a(x,y,z * ((w * v5) \ ((w * u) * v5))).
a(x,y,z \ R(u / w,v5,v6)) = a(x,y,z \ (R(w,v5,v6) \ R(u,v5,v6))).
a(x,y,z \ (R(u,w,v5) \ R(v6,w,v5))) = a(x,y,z \ R(v6 / u,w,v5)).
a(x,y,z \ (u / (K(w,w \ 1) / w))) = a(x,y,z \ (w \ ((u * w) / (1 / w)))).
a(x,y,(1 / z) \ (z \ u)) = a(x,y,z \ (u / (z \ 1))).
a(x,y,((z \ u) * z) * w) = a(x,y,w * u).
a(x,y,(z * u) * L(z,w,v5)) = a(x,y,z * (u * L(z,w,v5))).
a(x,y,R(z,u,w)) = a(x,y,(u * w) \ (w * (z * u))).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,R(w,z,u)).
a(x,y,L(z \ 1,z,u)) = a(x,y,(z * u) \ u).
a(x,y,L(T(z,u),u,w)) = a(x,y,(u * w) \ (w * (z * u))).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,L(T(w,z),z,u)).
a(x,y,L(1 / z,z * z,u)) = a(x,y,((z / (1 / z)) * u) \ (u * z)).
a(x,y,((z / (1 / z)) * u) \ (u * z)) = a(x,y,L(1 / z,z * z,u)).
a(x,y,R(z * (u / z),z * (u / z),w)) = a(x,y,((z * (u / z)) \ ((w / ((z * (u / z)) * w)) \ 1)) * u).
a(x,y,((z * (u / z)) \ ((w / ((z * (u / z)) * w)) \ 1)) * u) = a(x,y,R(z * (u / z),z * (u / z),w)).
a(x,y,((z \ u) * z) * R(1 / w,w,v5)) = a(x,y,(v5 / (w * v5)) * u).
a(x,y,(z / (u * z)) * w) = a(x,y,((v5 \ w) * v5) * R(1 / u,u,z)).
a(x,y,R(z * (u / z),w,v5)) = a(x,y,R(u,w,v5)).
a(x,y,(z * ((u / z) / w)) * v5) = a(x,y,(z * ((z \ u) / w)) * v5).
a(x,y,(z * ((u * z) \ w)) * v5) = a(x,y,(z * ((z * u) \ w)) * v5).
a(x,y,z * ((u \ w) * v5)) = a(x,y,z * ((w / u) * v5)).
a(x,y,z * ((u / w) * v5)) = a(x,y,z * ((w \ u) * v5)).
a(x,y,z * (u * (w \ (w / u)))) = a(x,y,z * (u * (w \ (u \ w)))).
a(x,y,z * (u * ((w * u) \ v5))) = a(x,y,z * (u * ((u * w) \ v5))).
a(x,y,(z * (u \ w)) \ v5) = a(x,y,(z * (w / u)) \ v5).
a(x,y,(z * (u / w)) \ v5) = a(x,y,(z * (w \ u)) \ v5).
a(x,y,(z * ((u \ w) \ w)) \ v5) = a(x,y,(z * u) \ v5).
a(x,y,(z \ (u \ w)) \ v5) = a(x,y,(z \ (w / u)) \ v5).
a(x,y,(z \ (u / w)) \ v5) = a(x,y,(z \ (w \ u)) \ v5).
a(x,y,((z * u) \ u) \ w) = a(x,y,((u * z) \ u) \ w).
R(x,y \ T(z,u),(y \ T(z,u)) \ x) \ x = a(x,y \ T(z,u),(y \ z) \ x) \ 1.
a(x,y,(z \ K(u,w)) * v5) = a(x,y,v5 * (z \ 1)).
a(x,y,L(z * u,w,v5)) = a(x,y,L(u * z,w,v5)).
a(x,y,L(z \ u,w,v5)) = a(x,y,L(T(z,v6) \ u,w,v5)).
a(x,y,L(T(z,u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)).
a(x,y,L((z \ u) * z,w,v5)) = a(x,y,L(u,w,v5)).
a(x,y,L((z \ u) * w,v5,v6)) = a(x,y,L((u / z) * w,v5,v6)).
a(x,y,L((z / u) * w,v5,v6)) = a(x,y,L((u \ z) * w,v5,v6)).
a(x,y,L((z / u) \ w,v5,v6)) = a(x,y,L((u \ z) \ w,v5,v6)).
a(x,y,L(z \ u,w,v5)) = a(x,y,L(((z \ v6) \ v6) \ u,w,v5)).
a(x,y,L(((z \ u) \ u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)).
a(x,y,L((z * (u / z)) \ w,v5,v6)) = a(x,y,L(u \ w,v5,v6)).
a(x,y,z * (u / T(w,v5))) = a(x,y,z * (w \ u)).
a(x,y,R(z \ (u / w),v5,v6)) = a(x,y,R(z \ (w \ u),v5,v6)).
a(x,y,z \ (u * (w \ v5))) = a(x,y,z \ (u * (v5 / w))).
a(x,y,z \ (u * (w / v5))) = a(x,y,z \ (u * (v5 \ w))).
a(x,y,z \ (u \ (w \ v5))) = a(x,y,z \ (u \ (v5 / w))).
a(x,y,z \ (u \ (w / v5))) = a(x,y,z \ (u \ (v5 \ w))).
a(x,y,L(z * (u * K(w,v5)),v6,v7)) = a(x,y,L(z * u,v6,v7)).
a(x,y,(z * (u \ (u / z))) \ w) = a(x,y,(z * (u \ (z \ u))) \ w).
a(x,y,(z * ((u * z) \ w)) \ v5) = a(x,y,(z * ((z * u) \ w)) \ v5).
a(x,y,((z * z) * u) \ w) = a(x,y,(((1 / z) \ z) * u) \ w).
a(x,y,(((1 / z) \ z) * u) \ w) = a(x,y,((z * z) * u) \ w).
a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * ((w / u) \ v5)).
a(x,y,z * ((u / w) \ v5)) = a(x,y,z * ((w \ u) \ v5)).
a(x,y,z * (u \ w)) = a(x,y,(u \ T(w,v5)) * z).
a(x,y,(z \ T(u,w)) * v5) = a(x,y,v5 * (z \ u)).
a(x,y,L(z,u,u \ 1)) = a(x,y,(u * z) * (u \ 1)).
a(x,y,(z * u) * (z \ 1)) = a(x,y,L(u,z,z \ 1)).
a(x,y,z \ L(u,w,u)) = a(x,y,z \ u).
a(x,y,z \ u) = a(x,y,z \ R(u,w,u)).
a(x,y,z \ R(u,w,u)) = a(x,y,z \ u).
a(x,y,R(z \ u,w,u)) = a(x,y,R(z,w,u) \ u).
a(x,y,z * L(u,w,u)) = a(x,y,z * u).
a(x,y,z * u) = a(x,y,z * R(u,w,u)).
a(x,y,z * R(u,w,u)) = a(x,y,z * u).
a(x,y,z * u) = a(x,y,L(u,w,u) * z).
a(x,y,L(z,u,z) * w) = a(x,y,w * z).
a(x,y,R(z * u,w,u)) = a(x,y,R(z,w,u) * u).
a(x,y,a(z,u,z) \ w) = a(x,y,(z \ w) * 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,R(z,u,z \ 1)) = a(x,y,z).
a(x,y,z \ u) = a(x,y,L(z,w,z) \ u).
a(x,y,L(z,u,z) \ w) = a(x,y,z \ w).
a(x,y,z \ (a(u,w,u) \ v5)) = a(x,y,z \ v5).
a(x,y,R(z,u,z) \ w) = a(x,y,z \ w).
a(x,y,z * (a(u,w,u) \ v5)) = a(x,y,z * v5).
a(x,y,R(z,u,z) * w) = a(x,y,z * w).
a(x,y,(R(z,u,z) \ 1) * w) = a(x,y,z \ L(w,R(z,u,z) \ 1,R(z,u,z))).
a(x,y,z \ L(u,R(z,w,z) \ 1,R(z,w,z))) = a(x,y,(R(z,w,z) \ 1) * u).
a(x,y,R(z \ u,w,z)) = a(x,y,z \ R(u,w,z)).
a(x,y,R(z * u,w,z)) = a(x,y,z * R(u,w,z)).
a(x,y,(z * R(u,w,u)) \ v5) = a(x,y,(z * u) \ v5).
a(x,y,(L(z,u,z) * w) * v5) = a(x,y,(z * w) * v5).
a(x,y,L(z,u,u \ 1)) = a(x,y,R(z,u,u \ 1)).
a(x,y,((1 / z) * u) * z) = a(x,y,L(u,z,z \ 1)).
a(x,y,R(z * u,w,u) \ v5) = a(x,y,(R(z,w,u) * u) \ v5).
a(R(x,y,x),z,(z * x) \ u) \ u = R(x,y,x) * (z * ((R(x,y,x) * z) \ u)).
a(x,y,(z * u) * w) = a(x,y,w * (L(z,v5,z) * u)).
a(x,y,z * (L(u,w,u) * v5)) = a(x,y,(u * v5) * z).
a(x,y,z * (L(L(u \ 1,u,w),v5,(w * u) \ w) * v6)) = a(x,y,(((w * u) \ w) * v6) * z).
a(x,y,((z \ u) * w) * v5) = a(x,y,v5 * ((u / z) * w)).
a(x,y,((z \ 1) * u) * z) = a(x,y,L(u,z,z \ 1)).
a(x,y,L(z,u,u \ 1)) = a(x,y,u * ((u \ 1) * z)).
a(x,y,z * ((z \ 1) * u)) = a(x,y,L(u,z,z \ 1)).
a(x,y,L(z,u \ 1,u)) = a(x,y,L(z,u,u \ 1)).
a(x,y,(z \ (u / w)) * v5) = a(x,y,(z \ (w \ u)) * v5).
a(x,y,((z * u) \ w) * v5) = a(x,y,v5 * ((u * z) \ w)).
a(x,y,(z / (u * w)) * v5) = a(x,y,((w * u) \ z) * v5).
a(x,y,z * (K(u,w) * v5)) = a(x,y,v5 * z).
a(x,y,z * R(K(u,w) * v5,v6,v7)) = a(x,y,R(v5,v6,v7) * z).
a(x,y,z * ((u \ w) \ w)) = a(x,y,u * z).
a(x,y,z * (u / w)) = a(x,y,(T(u,v5) / w) * z).
a(x,y,(T(z,u) / w) * v5) = a(x,y,v5 * (z / w)).
a(x,y,z * (u \ w)) = a(x,y,(((u \ v5) \ v5) \ w) * z).
a(x,y,(((z \ u) \ u) \ w) * v5) = a(x,y,v5 * (z \ w)).
a(x,y,z * ((T(u,w) \ v5) * v6)) = a(x,y,((u \ v5) * v6) * z).
a(x,y,z * (R(T(u,w),v5,v6) / v7)) = a(x,y,(R(u,v5,v6) / v7) * z).
a(x,y,z * (R(u,w,v5) \ v6)) = a(x,y,(R(T(u,v7),w,v5) \ v6) * z).
a(x,y,(R(T(z,u),w,v5) \ v6) * v7) = a(x,y,v7 * (R(z,w,v5) \ v6)).
a(x,y,z * (L(u,w,v5) \ v6)) = a(x,y,(L(T(u,v7),w,v5) \ v6) * z).
a(x,y,(L(T(z,u),w,v5) \ v6) * v7) = a(x,y,v7 * (L(z,w,v5) \ v6)).
a(x,y,z * (L(T(u,w),v5,v6) / v7)) = a(x,y,(L(u,v5,v6) / v7) * z).
a(x,y,(z / u) * (K(w,v5) * v6)) = a(x,y,(T(z,v7) / u) * v6).
a(x,y,(T(z,u) / w) * v5) = a(x,y,(z / w) * (K(v6,v7) * v5)).
a(x,y,z \ (u \ ((w / v5) \ v6))) = a(x,y,z \ (u \ ((v5 \ w) \ v6))).
a(x,y,z \ (u \ (w \ T(v5,v6)))) = a(x,y,z \ (u \ (w \ v5))).
a(x,y,z \ ((u \ (w / v5)) * v6)) = a(x,y,z \ ((u \ (v5 \ w)) * v6)).
a(x,y,z * R(u \ w,v5,v6)) = a(x,y,z * R(w / u,v5,v6)).
a(x,y,z * R(u / w,v5,v6)) = a(x,y,z * R(w \ u,v5,v6)).
a(x,y,(z / (u * w)) \ v5) = a(x,y,((w * u) \ z) \ v5).
a(x / y,y,y \ ((y \ x) \ 1)) = x * (y \ ((x / y) \ 1)).
a(x / (x * y),y,y \ (((x * y) \ x) \ 1)) = 1.
1 = a((x * y) \ x,y,y \ (((x * y) \ x) \ 1)).
a((x * y) \ x,y,y \ (((x * y) \ x) \ 1)) = 1.
1 / (x \ (((y * x) \ y) \ 1)) = ((y * x) \ y) * x.
(((x * y) \ x) * y) \ 1 = y \ (((x * y) \ x) \ 1).
((x * y) \ x) * y = (y \ (((x * y) \ x) \ 1)) \ 1.
(x \ (((y * x) \ y) \ 1)) \ 1 = ((y * x) \ y) * x.
a(x,y,(z * R(u,z,w)) \ v5) = a(x,y,(((z * w) \ ((z * u) * w)) * z) \ v5).
a(x,y,(((z * u) \ ((z * w) * u)) * z) \ v5) = a(x,y,(z * R(w,z,u)) \ v5).
a(x,y,((z / u) * w) \ v5) = a(x,y,(w * (u \ z)) \ v5).
a(x,y,z * ((u * w) \ v5)) = a(x,y,z * ((w * u) \ v5)).
a(x,y,z * (u \ ((w / v5) \ v6))) = a(x,y,z * (u \ ((v5 \ w) \ v6))).
a(x,y,z \ (u / (z \ 1))) = a(x,y,(z \ 1) \ (z \ u)).
a(x,y,(z \ 1) \ (z \ u)) = a(x,y,z \ (u / (z \ 1))).
a(x,y,((z / u) / w) \ v5) = a(x,y,(w \ (u \ z)) \ v5).
a(x,y,R(z,u \ w,u)) = a(x,y,((z * u) / w) * ((w \ u) \ 1)).
a(x,y,((z * u) / w) * ((w \ u) \ 1)) = a(x,y,R(z,u \ w,u)).
a(x,y,((z \ 1) * (z * u)) * w) = a(x,y,w * L(u,z,z \ 1)).
a(x,y,((z * (u / z)) \ w) * v5) = a(x,y,v5 * (u \ w)).
a(x,y,((z * u) \ w) \ v5) = a(x,y,((u * z) \ w) \ v5).
a(x,y,L(z,u,u \ 1) \ w) = a(x,y,((u * z) * (u \ 1)) \ w).
a(x,y,((z * u) * (z \ 1)) \ w) = a(x,y,L(u,z,z \ 1) \ w).
a(x,y,(z \ 1) \ (z \ u)) = a(x,y,z \ ((z \ 1) \ u)).
a(x,y,L(T(z,u),u,w) \ v5) = a(x,y,((u * w) \ (w * (z * u))) \ v5).
a(x,y,((z * u) \ (u * (w * z))) \ v5) = a(x,y,L(T(w,z),z,u) \ v5).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,L(w,z,u)).
a(x,y,L(z,u,w)) = a(x,y,R(z,u,w)).
a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,R(L(z,v5,v6),u,w)).
a(x,y,L(z / u,u \ z,u)) = a(x,y,(u / z) \ 1).
a(x,y,L(x,z,u)) = a(x,y,x).
a(x,x \ 1,L(y,z,u)) = R(a(x,x \ 1,y),z,u).
a(L(x,y,z),u,L(x,y,z)) = a(x,u,x).
a(x,y,L(z \ u,z \ 1,u)) = a(x,y,T(u * (z \ 1),u)).
a(x,y,L(z \ u,w,u)) = a(x,y,R(z,w,u) \ u).
a(x,y,L(z,u,z \ 1)) = a(x,y,z).
a(x,y,L(z * u,w,u)) = a(x,y,R(z,w,u) * u).
a(x,y,L(z \ u,w,z)) = a(x,y,z \ R(u,w,z)).
a(x,y,L(z * u,w,z)) = a(x,y,z * R(u,w,z)).
a(x,y,R(T(z,u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)).
a(x,y,L(z \ 1,u,z)) = a(x,y,z \ 1).
a(x,y,x) * (z \ L(x,u,w)) = z \ R(L(x,u,w),y,L(x,u,w)).
x \ R(L(y,z,u),w,L(y,z,u)) = a(y,w,y) * (x \ L(y,z,u)).
L(a(x,x \ 1,y),z,u) = a(x,x \ 1,L(y,z,u)).
a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u).
a(x,x \ 1,L(y,x,x)) = a(x,x \ 1,y).
a(x,y,L(z * u,z,u)) = a(x,y,z \ ((z * z) * u)).
a(x,y,L(z * z,u,z)) = a(x,y,z * z).
a(x,y,L(z / u,u \ z,u)) = a(x,y,(z \ u) \ 1).
a(x,y,(z \ u) \ 1) = a(x,y,L(u \ z,u \ z,u)).
a(x,y,L(z \ u,z \ u,z)) = a(x,y,(u \ z) \ 1).
a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,L(R(z,u,w),v5,v6)).
a(x,y,L(L(z,u,u \ 1),u,z)) = a(x,y,R(z,u \ 1,u * z)).
x * (y \ ((x / y) \ 1)) = a(y \ x,y,y \ ((y \ x) \ 1)).
a(x \ y,x,x \ ((x \ y) \ 1)) = y * (x \ ((y / x) \ 1)).
a(x,y,L(z \ u,z \ 1,u)) = a(x,y,u * (z \ 1)).
a(x,y,K(z,u) * ((w * z) * v5)) = a(x,y,(w * T(z,u)) * v5).
a(x,y,z \ ((u \ w) * v5)) = a(x,y,z \ (v5 * (T(u,v6) \ w))).
a(x,y,z \ (u * (T(w,v5) \ v6))) = a(x,y,z \ ((w \ v6) * u)).
a(x,y,z * ((u * w) \ ((w * v5) * u))) = a(x,y,z * L(v5,w,u)).
a(x,y,L(z * (u * T(w,v5)),v6,v7)) = a(x,y,L(z * (u * w),v6,v7)).
a(x,y,R(z * u,w,u) \ v5) = a(x,y,(u * R(z,w,u)) \ v5).
a(x,y,R(z,u,w) * R(K(v5,v6) * v7,u,w)) = a(x,y,R(v7 * z,u,w)).
a(x,y,z \ (u \ (w \ (v5 \ v6)))) = a(x,y,z \ (u \ (w \ (v6 / v5)))).
a(x,y,z \ (u \ (w \ (v5 / v6)))) = a(x,y,z \ (u \ (w \ (v6 \ v5)))).
a(x,y,(z * T(u,w)) * v5) = a(x,y,(z * u) * v5).
a(x,y,(z * (u \ w)) * v5) = a(x,y,(z * (w / u)) * v5).
a(x,y,(z * (u / w)) * v5) = a(x,y,(z * (w \ u)) * v5).
a(x,y,z * R(u,z,w)) = a(x,y,z * ((w * z) \ ((z * u) * w))).
a(x,y,z * ((u * z) \ ((z * w) * u))) = a(x,y,z * R(w,z,u)).
a(x,y,z \ L(u,w,w \ 1)) = a(x,y,z \ ((w * u) * (w \ 1))).
a(x,y,z \ ((u * w) * (u \ 1))) = a(x,y,z \ L(w,u,u \ 1)).
a(x,y,R(z,u \ w,u)) = a(x,y,(w \ (z * u)) * ((w \ u) \ 1)).
a(x,y,(z \ (u * w)) * ((z \ w) \ 1)) = a(x,y,R(u,w \ z,w)).
a(x,y,z * L(u,w,w \ 1)) = a(x,y,z * ((w * u) * (w \ 1))).
a(x,y,z * ((u * w) * (u \ 1))) = a(x,y,z * L(w,u,u \ 1)).
a(x,y,z * L(u,z,z \ 1)) = a(x,y,L(z * u,z,z \ 1)).
a(x,y,L(z * u,z,z \ 1)) = a(x,y,z * L(u,z,z \ 1)).
a(x,y,L(z,u,u \ 1) \ w) = a(x,y,R(z,u,u \ 1) \ w).
a(x,y,L(z,u,u \ 1) \ z) = a(x,y,a(z \ 1,u,u \ 1)).
a(x,y,a(z \ 1,u,u \ 1)) = a(x,y,L(z,u,u \ 1) \ z).
a(x,y,a(z \ 1,u,u \ 1)) = a(x,y,a(u \ 1,u,z)).
x \ R(L(y,z,y),u,y) = a(y,u,y) * (x \ L(y,z,y)).
a(x,y,x) * (z \ L(x,u,x)) = z \ R(L(x,u,x),y,x).
a(x,y,x) * (z \ L(x,u,x)) = z \ L(R(x,y,x),u,x).
a(x,y,x) * z != (L(x,y,x) * u) \ w | z = (x * u) \ w.
(L(x,y,x) * z) \ L(x,u,x) = (x * z) \ L(R(x,y,x),u,x).
(x * y) \ L(R(x,z,x),u,x) = (R(x,u,x) * y) \ R(x,z,x).
(R(x,y,x) * z) \ R(x,u,x) = (x * z) \ L(R(x,u,x),y,x).
R((x * y) \ L(R(x,z,x),u,x),u,x) = R(L(x,z,x) * y,u,x) \ x.
L(L(x,y,x),z,(x * z) \ L(R(x,y,x),y,x)) = (R(z,z,x) \ z) \ L(x,y,x).
a(x,y,R(z,u \ 1,u * z)) = a(x,y,L(z,u,u \ 1)).
a(x,y,L(z,u \ 1,u * z)) = a(x,y,L(z,u,u \ 1)).
a(x,y,z * R(u,z,w)) = a(x,y,z * L(u,z,w)).
a(x,y,z * L(u,z,w)) = a(x,y,z * R(u,z,w)).
a(x,y,z * L(u,z,w)) = a(x,y,R(u,z,w) * z).
a(x,y,R(z,u,w) * u) = a(x,y,u * L(z,u,w)).
a(x,y,z \ L(u,w,w \ 1)) = a(x,y,z \ R(u,w,w \ 1)).
a(x,y,z \ L(z,u,u \ 1)) = a(x,y,a(z,u,u \ 1)).
a(x,y,z * ((u \ z) \ 1)) = a(x,y,R(u,z \ u,z)).
a(x,y,R(z,u \ z,u)) = a(x,y,u * ((z \ u) \ 1)).
a(x,y,L(z,u \ w,u)) = a(x,y,(w \ (z * u)) * ((w \ u) \ 1)).
a(x,y,(z \ (u * w)) * ((z \ w) \ 1)) = a(x,y,L(u,w \ z,w)).
a(x,y,L(z,u \ z,u)) = a(x,y,u * ((z \ u) \ 1)).
a(x,y,z * L(u,w,w \ 1)) = a(x,y,z * R(u,w,w \ 1)).
a(x,y,z * (((1 / u) * w) * u)) = a(x,y,z * L(w,u,u \ 1)).
a(x,y,(z \ (u / (z \ 1))) \ w) = a(x,y,((1 / z) \ (z \ u)) \ w).
a(x,y,((1 / z) \ (z \ u)) \ w) = a(x,y,(z \ (u / (z \ 1))) \ w).
a(x,y,(z \ (K(u,w) * v5)) \ v6) = a(x,y,(v5 / z) \ (K(w,u) * v6)).
a(x,y,z \ ((u / w) / (1 / w))) = a(x,y,z \ (w \ ((w \ 1) \ u))).
a(x,y,z * (u \ (w / (u \ 1)))) = a(x,y,z * ((1 / u) \ (w / u))).
a(x,y,z * ((1 / u) \ (w / u))) = a(x,y,z * (u \ (w / (u \ 1)))).
a(x,y,(z * u) \ (K(w,v5) * v6)) = a(x,y,(u * (K(v5,w) * z)) \ v6).
a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,(v5 * z) \ (K(w,u) * v6)).
a(x,y,(z * ((z \ u) / w)) * v5) = a(x,y,(z * (w \ (u / z))) * v5).
a(x,y,((z \ (u \ z)) * u) * w) = a(x,y,w * (u * (z \ (z / u)))).
a(x,y,(z * ((u * z) \ w)) \ v5) = a(x,y,(((z * u) \ w) * z) \ v5).
a(x,y,(((z * u) \ w) * z) \ v5) = a(x,y,(z * ((u * z) \ w)) \ v5).
a(x,y,(R(z,u,w) / v5) * v6) = a(x,y,v6 * (v5 \ R(T(z,v7),u,w))).
a(x,y,z * (u \ R(T(w,v5),v6,v7))) = a(x,y,(R(w,v6,v7) / u) * z).
a(x,y,(L(z,u,w) / v5) * v6) = a(x,y,v6 * (v5 \ L(T(z,v7),u,w))).
a(x,y,z * (u \ L(T(w,v5),v6,v7))) = a(x,y,(L(w,v6,v7) / u) * z).
a(x,y,(z \ (u / (z \ 1))) \ w) = a(x,y,((z \ 1) \ (z \ u)) \ w).
a(x,y,((z \ 1) \ (z \ u)) \ w) = a(x,y,(z \ (u / (z \ 1))) \ w).
a(x,y,(z \ (K(u,w) * v5)) \ v6) = a(x,y,(v5 / z) \ v6).
a(x,y,(z \ (K(u,w) * v5)) \ v6) = a(x,y,(z \ v5) \ v6).
a(x,y,(z \ ((u / w) \ v5)) \ v6) = a(x,y,(z \ ((w \ u) \ v5)) \ v6).
a(x,y,z \ (u \ ((u \ 1) \ w))) = a(x,y,z \ ((1 / u) \ (w / u))).
a(x,y,z \ ((1 / u) \ (w / u))) = a(x,y,z \ (u \ ((u \ 1) \ w))).
a(x,y,z * (u \ (w / (u \ 1)))) = a(x,y,z * ((1 / u) \ (u \ w))).
a(x,y,z * ((1 / u) \ (u \ w))) = a(x,y,z * (u \ (w / (u \ 1)))).
a(x,y,(z * (K(u,w) * v5)) \ v6) = a(x,y,(v5 * z) \ v6).
a(x,y,((z \ T(u,w)) * v5) \ v6) = a(x,y,(v5 * (z \ u)) \ v6).
a(x,y,(z * (u \ w)) \ v5) = a(x,y,(z * (u \ T(w,v6))) \ v5).
a(x,y,(z * (u \ T(w,v5))) \ v6) = a(x,y,(z * (u \ w)) \ v6).
a(x,y,z * (u \ R(T(w,v5),v6,v7))) = a(x,y,(u \ R(w,v6,v7)) * z).
a(x,y,z * (u \ L(T(w,v5),v6,v7))) = a(x,y,(u \ L(w,v6,v7)) * z).
a(x,y,((z \ 1) \ (z \ u)) \ w) = a(x,y,(z \ ((z \ 1) \ u)) \ w).
a(x,y,z \ (u \ ((u \ 1) \ w))) = a(x,y,z \ ((1 / u) \ (u \ w))).
a(x,y,z \ ((1 / u) \ (u \ w))) = a(x,y,z \ (u \ ((u \ 1) \ w))).
a(x,y,z * (u \ (w / (u \ 1)))) = a(x,y,z * ((u \ 1) \ (u \ w))).
a(x,y,z * ((u \ 1) \ (u \ w))) = a(x,y,z * (u \ (w / (u \ 1)))).
a(x,y,z \ (u \ ((u \ 1) \ w))) = a(x,y,z \ ((u \ 1) \ (u \ w))).
a(x,y,z \ ((u \ 1) \ (u \ w))) = a(x,y,z \ (u \ ((u \ 1) \ w))).
a(x,y,z * ((u \ 1) \ (u \ w))) = a(x,y,z * (u \ ((u \ 1) \ w))).
a(x,y,R(z,u,w) \ (R(v5,u,w) \ R(v6,u,w))) = a(x,y,R(z \ (v6 / v5),u,w)).
a(x,y,((z / (1 / z)) * u) \ (u * z)) = a(x,y,L(z \ 1,z * z,u)).
a(x,y,(((z \ u) * z) / (w * ((z \ u) * z))) * v5) = a(x,y,((v6 \ v5) * v6) * R(1 / w,w,u)).
a(x,y,((z * u) \ (u * (w * z))) \ v5) = a(x,y,L(w,z,u) \ v5).
a(x,y,R(z * (K(u,w) * v5),v6,v7)) = a(x,y,R(v5 * z,v6,v7)).
a(x,y,L(z * (K(u,w) * v5),v6,v7)) = a(x,y,R(v5 * z,v6,v7)).
a(x,y,L(z * u,w,v5)) = a(x,y,L(u * (K(v6,v7) * z),w,v5)).
a(x,y,L(z * (K(u,w) * v5),v6,v7)) = a(x,y,L(v5 * z,v6,v7)).
R((x * y) \ x,z,x) = R(L(x,z,x) * y,z,x) \ x.
R(L(x,y,x) * z,y,x) \ x = R((x * z) \ x,y,x).
(x * R(y,z,x)) \ x = R((x * y) \ x,z,x).
R((x * y) \ x,z,x) = (x * R(y,z,x)) \ x.
a(x,y,L(z \ 1,z * z,u)) = a(x,y,(((1 / z) \ z) * u) \ (u * z)).
a(x,y,(((1 / z) \ z) * u) \ (u * z)) = a(x,y,L(z \ 1,z * z,u)).
a(x,y,L(z \ 1,z * z,u)) = a(x,y,((z * z) * u) \ (u * z)).
a(x,y,((z * z) * u) \ (u * z)) = a(x,y,L(z \ 1,z * z,u)).
a(x,y,L(z \ 1,z * z,u)) = a(x,y,(u * (z * z)) \ (u * z)).
a(x,y,(z * (u * u)) \ (z * u)) = a(x,y,L(u \ 1,u * u,z)).
L(x,y,L(T(z,u \ z),1 / u,(1 / u) \ 1)) = L(x,y,R(z,u,u \ z)).
L(x,y,L(z,u,u \ z)) = L(x,y,L(T(z,u \ z),1 / u,(1 / u) \ 1)).
L(x,y,L(T(z,u \ z),1 / u,(1 / u) \ 1)) = L(x,y,L(z,u,u \ z)).
L(x,y,L(T(z,u \ z),1 / u,u)) = L(x,y,L(z,u,u \ z)).
L(x,y,L(T(z,u \ z),u \ 1,u)) = L(x,y,L(z,u,u \ z)).
L(x,y,L(z,u,u \ z)) = L(x,y,L(T(z,u \ z),u,u \ 1)).
L(x,y,L(T(z,u \ z),u,u \ 1)) = L(x,y,L(z,u,u \ z)).
L(x,y,L(z,u,u \ z)) = L(x,y,L(z,u,u \ 1)).
L(x,y,L(z,u,u \ 1)) = L(x,y,L(z,u,u \ z)).
R(T(x,y * z),z,T(y,x * z)) = (z * T(y,x * z)) \ (y * (x * z)).
(x * T(y,z * x)) \ (y * (z * x)) = R(T(z,y * x),x,T(y,z * x)).
(x * T(y,z * x)) \ (y * (z * x)) = R(T(z,y * x),x,y).
L(x,y,L((z * (u * w)) \ (w * T(z,u * w)),(z * (u * w)) \ (w * T(z,u * w)),z * (u * w))) = L(x,y,R(T(u,z * w),w,z) \ 1).
a(((T(x,y * z) * z) \ (x * (y * z))) * u,w,v5) = a(u * R(T(y,x * z),z,x),w,v5).
R(x,L((y * (z * u)) \ (u * T(y,z * u)),(y * (z * u)) \ (u * T(y,z * u)),y * (z * u)),w) = R(x,R(T(z,y * u),u,y) \ 1,w).
L(x,y,z) * (x \ u) = T((u / x) * L(x,y,z),K(w,u)).
T((x / y) * L(y,z,u),K(w,x)) = L(y,z,u) * (y \ x).
T(L(x,y,z) * (x \ u),T(w,u)) = T((u / x) * L(x,y,z),w).
(x / (y * (a(y,z,y) \ u))) * y = (x / L(u,y,(u * y) \ x)) * a(y,z,y).
(x / L(y,z,(y * z) \ x)) * a(z,u,z) = (x / (z * (a(z,u,z) \ y))) * z.
L(x,y,((((z * u) \ w) \ w) * (u \ 1)) \ 1) = L(x,y,R(z \ 1,u,u \ 1)).
L(T(x,y),T(x,y) \ 1,K(y,x) * y) = ((y * x) * (x \ 1)) \ (x * y).
((x * y) * (y \ 1)) \ (y * x) = L(T(y,x),T(y,x) \ 1,x).
L(T(x,y),T(x,y) \ 1,y) = ((y * x) * (x \ 1)) \ (x * y).
((x * y) * (y \ 1)) \ (y * x) = L(T(y,x),y \ 1,x).
R(x,y,y \ 1) \ (y * x) = L(T(y,x),y \ 1,x).
L(x \ 1,x,(x \ 1) * y) = ((z \ y) * z) \ (((z \ y) * z) / x).
L(x \ 1,x,(x \ 1) * y) = ((x \ y) * x) \ (x \ y).
L(x \ 1,x,x \ y) = L(x \ 1,x,(x \ 1) * y).
L(x \ 1,x,(x \ 1) * y) = L(x \ 1,x,x \ y).
L(x \ 1,x,x \ y) = (((x \ 1) * y) * x) \ ((x \ 1) * y).
(((x \ 1) * y) * x) \ ((x \ 1) * y) = L(x \ 1,x,x \ y).
a(x,y * ((z * u) \ ((z * w) * u)),v5) = a(x,y * R(w,z,u),v5).
a(x,((y * z) \ ((z * u) * y)) * w,v5) = a(x,w * R(u,z,y),v5).
a(x,(y * R(z,y,u)) \ w,v5) = a(x,(y * ((u * y) \ ((y * z) * u))) \ w,v5).
a(x,(y * ((z * y) \ ((y * u) * z))) \ w,v5) = a(x,(y * R(u,y,z)) \ w,v5).
(x * (1 / y)) * T(y,T(x,y)) = L(y,y \ x,y) * (x * (1 / y)).
L(x,x \ y,x) * (y * (1 / x)) = (y * (1 / x)) * T(x,T(y,x)).
L(x,x \ y,x) * (y * (1 / x)) = (y * (1 / x)) * T(x,y).
(x * (1 / y)) * T(y,x) = (y * R(x,y \ 1,y)) / y.
(x * R(y,x \ 1,x)) / x = (y * (1 / x)) * T(x,y).
(x * R(y,x,x \ 1)) / x = (y * (1 / x)) * T(x,y).
R((x * y) / x,x,x \ 1) = (y * (1 / x)) * T(x,y).
(x * (1 / y)) * T(y,x) = (y * x) * (y \ 1).
((x \ (x / y)) * (1 / z)) * T(z,y \ 1) = (z * (x \ (x / y))) * (z \ 1).
((x \ (x / (1 / y))) * (1 / z)) * T(z,y) = (z * (x \ (x / (1 / y)))) * (z \ 1).
T(x,y \ (((z * u) * w) / L(z,u,w))) = T(x,(w \ y) \ (z * T(u / z,w))).
R(x,x \ (R(x \ 1,y,z) \ u),x) = R(1 / x,u,x) \ 1.
R(x,x \ (R(x \ 1,y,z) \ u),x) = R(x,u,x).
x * (y \ R(y,y,(y \ 1) * x)) = T(y,y \ 1) * ((y \ 1) * x).
x * (y \ R(y,y,(y \ 1) * x)) = y * ((1 / y) * x).
x * (y \ R(y,y,y \ x)) = y * ((1 / y) * x).
R((x * K(y,x)) \ 1,x * K(y,x),y) = y / (y * T(x,x \ K(x,y))).
R((x * K(y,x)) \ 1,x * K(y,x),y) = y / (y * T(x,x \ 1)).
R(x \ K(x,y),x * K(y,x),y) = y / (y * T(x,x \ 1)).
x / (x * T(y,y \ 1)) = R(y \ K(y,x),y,x).
R(x \ K(x,y),x,y) = y / (y * T(x,x \ 1)).
R(x \ K(x,y),x,y) = T(y / (y * x),x).
a(x,T(y / (y * z),z),z \ K(z,y)) = a(x,z \ K(z,y),R(z \ K(z,y),z,y)).
a(x,y \ K(y,z),R(y \ K(y,z),y,z)) = a(x,T(z / (z * y),y),y \ K(y,z)).
R(L(x,y,z) \ K(L(x,y,z),1 / x),L(x,y,z),1 / x) = T((1 / x) / (x \ L(x,y,z)),L(x,y,z)).
R((1 / (1 / x)) \ K(1 / (1 / x),y),1 / (1 / x),y) = T(y / (y / L(1 / x,x,y)),1 / (1 / x)).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = R((1 / (1 / y)) \ K(1 / (1 / y),x),1 / (1 / y),x).
L(x,(((y \ K(z,y)) * u) \ u) \ w,v5) = L(x,R(y,y \ 1,u) \ w,v5).
R(K(x,T(y,z)) / u,u,x) = T((z \ x) * z,y) / (u * ((z \ x) * z)).
T((x \ y) * x,z) / (u * ((x \ y) * x)) = T(y,T(z,x)) / (u * y).
L(x,y,z \ ((u * w) \ ((v5 * w) * u))) = L(x,y,z \ R(v5,w,u)).
L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)).
L(x,y,z \ L(u,w,v5)) = L(x,y,z \ R(u,w,v5)).
L(x,y,z \ L(L(u,w,v5),v6,v7)) = L(x,y,z \ R(L(u,v6,v7),w,v5)).
L(x,y,R(1 / z,z,R(u,w,v5)) \ L(u,w,v5)) = L(x,y,z * R(u,w,v5)).
L(x,y,R(z \ L(u,w,v5),v6,v7)) = L(x,y,R(z,v6,v7) \ R(R(u,v6,v7),w,v5)).
L(x,y,R(z,u,w) \ R(R(v5,u,w),v6,v7)) = L(x,y,R(z \ L(v5,v6,v7),u,w)).
L(L(x \ 1,y,z),u,x \ L(x,w,v5)) = L(x \ 1,y,z).
L(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = L(x,y,T((R(w,v5,v6) / u) * z,z \ u)).
L(x,y,L(z \ u,w,z)) = L(x,y,z \ L(u,w,z)).
L(x,y,z \ L(L(u,w,v5),v6,v7)) = L(x,y,z \ L(R(u,w,v5),v6,v7)).
L(x,y,R(1 / z,z,L(u,w,v5)) \ L(u,w,v5)) = L(x,y,z * R(u,w,v5)).
L(x,y,z * L(u,w,v5)) = L(x,y,z * R(u,w,v5)).
L(x,y,z * L(L(u,w,v5),v6,v7)) = L(x,y,z * R(L(u,v6,v7),w,v5)).
L(x,y,R(z,u,w) * L(v5,u,w)) = L(x,y,R(z * v5,u,w)).
L(x,y,z * L(z \ 1,u,w)) = L(x,y,R(z,u,w) \ z).
L(x,y,z * L(u,w,v5)) = L(x,y,R(u,w,v5) * z).
L(x,y,R(z,u,w) * v5) = L(x,y,v5 * L(z,u,w)).
L(x,y,(z * u) * L(R(w,u,z),v5,v6)) = L(x,y,(R(w,v5,v6) * u) * z).
L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5).
L(x,y,L(z,u,w) * v5) = L(x,y,R(z,u,w) * v5).
L(x,y,L((z \ u) \ w,z,z \ u)) = L(x,y,L(z,z,z \ u) * (u \ w)).
L(x,y,L(z * (u \ 1),w,u)) = L(x,y,L(z,w,u) * (u \ 1)).
L(x,y,L(z * u,w,v5)) = L(x,y,R(z,w,v5) * L(u,w,v5)).
L(x,y,R(z,u,w) * L(v5,u,w)) = L(x,y,L(z * v5,u,w)).
L(x,y,L(z * u,w,u)) = L(x,y,R(z,w,u) * u).
L(x,y,L(z,u,w) * L(v5,u,w)) = L(x,y,L(z * v5,u,w)).
L(x,y,L(z * u,w,u)) = L(x,y,u * L(z,w,u)).
L(x,y,L(z,u,w) * w) = L(x,y,L(z * w,u,w)).
L(x,y,L(z * u,w,u)) = L(x,y,L(z,w,u) * u).
L(x,y,L((z \ u) * w,z,w)) = L(x,y,w * ((w * z) \ (w * u))).
L(x,y,L((z \ (u \ w)) * u,z,u)) = L(x,y,((u * z) \ w) * u).
L(x,x,L(y,z,x) * x) = L(x,x,y * x).
L(x,x,((T(x,y) * z) \ u) * x) = L(x,x,(z \ (T(x,y) \ u)) * x).
L(x,y,L((z \ (u \ w)) * u,z,u)) = L(x,y,u * ((z * u) \ w)).
L(x,x,(y \ (T(x,z) \ u)) * x) = L(x,x,((x * y) \ u) * x).
L(x,x,(y \ (T(x,z) \ u)) * x) = L(x,x,x * ((y * x) \ u)).
L(x,x,x * ((y * x) \ z)) = L(x,x,x * (y \ (x \ z))).
L(x,x,x * R(x \ y,x,z)) = L(x,x,x * (z \ (x \ (y * z)))).
L(x,x,x * L(x \ y,x,z)) = L(x,x,x * (z \ (x \ (y * z)))).
L(x,y,(R(z,u,w) * v5) * v6) = L(x,y,(L(z,u,w) * v5) * v6).
L(x,y,(L(z,u,w) * v5) * v6) = L(x,y,(R(z,u,w) * v5) * v6).
L(x,y,(R(z,u,w) * v5) * v6) = L(x,y,(v5 * L(z,u,w)) * v6).
L(x,y,(z * L(u,w,v5)) * v6) = L(x,y,v6 * (R(u,w,v5) * z)).
L(x,y,(z * L(u,w,v5)) * v6) = L(x,y,(z * R(u,w,v5)) * v6).
L(x,y,z * (R(u,w,v5) * v6)) = L(x,y,z * (L(u,w,v5) * v6)).
L(x,y,z * (L(u,w,v5) * v6)) = L(x,y,z * (R(u,w,v5) * v6)).
L(x,y,(z * L(z \ 1,u,w)) * v5) = L(x,y,v5 * (R(z,u,w) \ z)).
L(x,y,z * (L(T(u,w),v5,v6) * v7)) = L(x,y,(v7 * R(u,v5,v6)) * z).
L(x,y,(z * L(u,w,v5)) * v6) = L(x,y,v6 * (L(T(u,v7),w,v5) * z)).
L(x,y,z * (L(T(u,w),v5,v6) * v7)) = L(x,y,(v7 * L(u,v5,v6)) * z).
L(x,y,(z * L(u,w,v5)) * v6) = L(x,y,v6 * (z * L(T(u,v7),w,v5))).
L(x,y,z * (u * L(T(w,v5),v6,v7))) = L(x,y,(u * L(w,v6,v7)) * z).
a(x,y,z * ((u * w) \ ((u * v5) * w))) = a(x,y,z * R(v5,u,w)).
a(x,y,z * R(u,w,v5)) = a(x,y,z * ((v5 * w) \ ((w * u) * v5))).
a(x,y,z * ((u * w) \ ((w * v5) * u))) = a(x,y,z * R(v5,w,u)).
a(x,y,z * R(u,w,w)) = a(x,y,z * L(u,w,w)).
a(x,y,z * L(u,w,w)) = a(x,y,z * R(u,w,w)).
a(x,y,z * R(u,w,v5)) = a(x,y,z * L(u,w,v5)).
a(x,y,z * L(u,w,v5)) = a(x,y,z * R(u,w,v5)).
a(x,y,z * L(z \ 1,u,w)) = a(x,y,R(z,u,w) \ z).
a(x,y,z * L(u,w,v5)) = a(x,y,R(u,w,v5) * z).
a(x,y,R(z,u,w) * v5) = a(x,y,v5 * L(z,u,w)).
a(x,y,(z \ 1) * R(z,u,w)) = a(x,y,z \ L(z,u,w)).
a(x,y,R(z,u,w) * v5) = a(x,y,L(z,u,w) * v5).
a(x,y,L(z,u,w) * v5) = a(x,y,R(z,u,w) * v5).
a(x,y,L(z * u,w,u)) = a(x,y,L(z,w,u) * u).
a(x,y,z \ L(z,u,w)) = a(x,y,z \ R(z,u,w)).
a(x,y,R(z,u,w) \ R(L(z,v5,v6),u,w)) = a(x,y,R(z,u,w) \ R(R(z,u,w),v5,v6)).
a(x,y,R(z,u,w) \ R(R(z,u,w),v5,v6)) = a(x,y,R(z,u,w) \ R(L(z,v5,v6),u,w)).
a(x,y,(z * R(u,z,w)) \ v5) = a(x,y,(z * ((w * z) \ ((z * u) * w))) \ v5).
a(x,y,(z * ((u * z) \ ((z * w) * u))) \ v5) = a(x,y,(z * R(w,z,u)) \ v5).
((x / (y * z)) * y) * a(y,u,y) = (x / (y * (a(y,u,y) \ z))) * y.
(x / (y * (a(y,z,y) \ u))) * y = ((x / (y * u)) * y) * a(y,z,y).
(x / (y * (a(y,z,y) \ u))) * y = (x / (y * u)) * (y * a(y,z,y)).
(x / (y * (a(y,z,y) \ u))) * y = (x / (y * u)) * R(y,z,y).
(x / (L(y,z,y) * u)) * y = (x / (y * u)) * R(y,z,y).
L(x,y,L(z \ 1,u,u \ 1)) = L(x,y,((((z * u) \ w) \ w) * (u \ 1)) \ 1).
L(x,y,((((z * u) \ w) \ w) * (u \ 1)) \ 1) = L(x,y,L(z \ 1,u,u \ 1)).
T(x,y \ (((z * u) * w) / L(z,u,w))) = T(x,y \ (w * (z * T(u / z,w)))).
L(x,y,R(z \ R(u,w,v5),v6,v7)) = L(x,y,R(z \ L(u,w,v5),v6,v7)).
L(x,y,R(z \ L(u,w,v5),v6,v7)) = L(x,y,R(z \ R(u,w,v5),v6,v7)).
L(x,y,L(z \ R(u,w,v5),v6,v7)) = L(x,y,R(z \ L(u,w,v5),v6,v7)).
L(x,y,L(z \ L(u,w,v5),v6,v7)) = L(x,y,L(z \ R(u,w,v5),v6,v7)).
L(x,y,L(z \ L(z,u,w),z,u * w)) = L(x,y,a(z,u,w)).
L(x,y,L(z \ 1,u,u \ 1)) = L(x,y,((u \ 1) * (z * u)) \ 1).
L(x,y,((z \ 1) * (u * z)) \ 1) = L(x,y,L(u \ 1,z,z \ 1)).
L(x,y,L(z \ 1,u,u \ 1)) = L(x,y,L(z,u,u \ 1) \ 1).
T(x,T(T(y,z),u) * (w \ K(v5,T(y,u * z)))) = T(x,T(T(T(y,v5),z),u) / w).
(T(x,y) \ 1) \ K(z,T(1 / x,u)) = (T(x,y) \ K(T(x \ 1,u),z)) \ 1.
(T(x,y) \ K(T(x \ 1,z),u)) \ 1 = (T(x,y) \ 1) \ K(u,T(1 / x,z)).
(T(x,y) \ K(T(x \ 1,z),u)) \ 1 = (T(x,y) \ 1) \ K(u,T(x \ 1,z)).
(T(x,y) \ K(x \ 1,T(z,u))) \ 1 = (T(x,y) \ 1) \ K(z,T(x \ 1,u)).
(K(x,y) * T(y \ 1,T(z,u))) \ 1 = (T(y,x) \ 1) \ K(z,T(y \ 1,u)).
(T(x,y) \ 1) \ K(z,T(x \ 1,u)) = T(x \ 1,T(z,u)) \ (K(x,y) * 1).
T(x \ 1,T(y,z)) \ (K(x,u) * 1) = (T(x,u) \ 1) \ K(y,T(x \ 1,z)).
T(x \ 1,T(y,z)) \ K(x,u) = (T(x,u) \ 1) \ K(y,T(x \ 1,z)).
(T(x,y) \ 1) \ K(z,T(x \ 1,u)) = T(x \ 1,T(z,u)) \ K(x,y).
T(x,y * (T(z \ 1,T(u,w)) \ K(z,w))) = T(x,y / T(z \ K(w,z),u)).
T(x,y * T(T(z \ 1,u) \ 1,w)) = T(x,y / T(z \ K(w,z),u)).
T(x,y / T(z \ K(u,z),w)) = T(x,y * T(T(z \ 1,w) \ 1,u)).
T(x,y / T(z \ K(u,z),w)) = T(x,y / T(T(z \ 1,w),u)).
T(x,y / T(T(z \ 1,u),w)) = T(x,y / T(z \ K(w,z),u)).
T(x,y / T(T(z \ 1,u),w)) = T(x,y * T(T(z,w),u)).
T(x,y * T(T(z,u),w)) = T(x,y / T(z \ 1,w * u)).
T(x,y / T(z \ 1,u * w)) = T(x,y * T(T(z,w),u)).
T(x,y * T(T(z,u),w)) = T(x,y * T(z,w * u)).
T(x,y * T((z \ u) \ u,w)) = T(x,y * T(z,(z \ u) * w)).
T(x,y * T(z * K(y,z),u * w)) = T(x,T(T(z,w),u) * y).
T(x,y * T((z \ u) \ u,w)) = T(x,y * T(z,u * w)).
T(x,y * T(z \ u,w)) = T(x,y * T(u / z,u * w)).
T(x,y * T(z / u,z * w)) = T(x,y * T(u \ z,w)).
T(x,y * T(z \ u,u * w)) = T(x,y * T(u / z,w)).
T(x,T(T(y,z),u) * w) = T(x,T(w,y) * T(y,u * z)).
T(x,T(y,z) * T(z,u * w)) = T(x,T(T(z,w),u) * y).
T(x,T(T(y,z),u) * w) = T(x,T(y,u * z) * w).
T(x,T(y \ z,u) * w) = T(x,T(z / y,y * u) * w).
T(x,T(y / z,z * u) * w) = T(x,T(z \ y,u) * w).
T(x,T(y,z * u) * u) = T(x,u * T(y,z)).
T(x,y * T(z \ (z / u),w)) = T(x,y * (w \ (u \ w))).
T(x,T(y \ (T(y,z \ 1) / z),z) * u) = T(x,((y / z) / y) * u).
T(x,y * (z \ (u \ z))) = T(x,y * ((z / u) / z)).
T(x,y * ((z / u) / z)) = T(x,y * (z \ (u \ z))).
T(x,T((y / z) / y,z) * u) = T(x,T(u,z) * (y \ (z \ y))).
T(x,T((y / z) / y,z) * u) = T(x,(y \ (z \ y)) * u).
T(x,T((y / z) / y,z) * u) = T(x,((y / z) / y) * u).
T(x,((y / z) / y) * u) = T(x,(y \ (z \ y)) * u).
((x / y) / x) / T(1 / z,(x \ (y \ x)) * z) = (1 / z) \ ((x / y) / x).
((x / y) / x) / T(1 / y,K(x,y)) = (1 / y) \ ((x / y) / x).
((x / y) / x) / (1 / y) = (1 / y) \ ((x / y) / x).
(1 / x) \ ((y / x) / y) = ((y / x) / y) * x.
x \ ((y / (x \ 1)) / y) = ((y / (x \ 1)) / y) * (x \ 1).
((x / (y \ 1)) / x) * (y \ 1) = y \ ((x / (y \ 1)) / x).
x \ ((y / (x \ 1)) / y) = ((y / (x \ 1)) / y) / x.
((x / (y \ 1)) / x) / y = y \ ((x / (y \ 1)) / x).
L(x,y,z * (u \ ((w * u) / (1 / u)))) = L(x,y,z * ((K(u,u \ 1) / u) \ w)).
L(x,y,z * ((K(u,u \ 1) / u) \ w)) = L(x,y,z * (u \ ((w * u) / (1 / u)))).
a(x \ (y \ ((z * y) / (1 / y))),u,w) = a(x \ ((K(y,y \ 1) / y) \ z),u,w).
a(x \ ((K(y,y \ 1) / y) \ z),u,w) = a(x \ (y \ ((z * y) / (1 / y))),u,w).
a(((K(x,x \ 1) / x) \ (y / x)) * z,u,w) = a((x \ (y / (1 / x))) * z,u,w).
T(T(K(x,y) * K(z,u),z),K(T(y,z),x) * u) = (K(x,T(y,z)) \ T(u,z)) \ u.
T(x,T(T(y,z),u) / ((w / z) * K(y,v5))) = T(x,(K(v5,y) * z) / (w / T(y,u))).
R(T(T(x,y),z),u,w) * (T(T(x,z),y) \ v5) = (v5 / x) * R(x,u,w).
T((x * y) / T(x * a(z,u,w),y),T(x,y)) = (x * a(z,u,T(w,v5))) \ (y * x).
a(x,y \ ((K(z,z \ 1) / z) \ (u / z)),w) = a(x,y \ (z \ (u / (1 / z))),w).
(x * (y / z)) * L(z,u,w) = (x * (z \ y)) * T(L(z,u,w),z \ y).
(x * (y \ z)) * T(L(y,u,w),y \ z) = (x * (z / y)) * L(y,u,w).
(x * (y \ z)) * L(T(y,y \ z),u,w) = (x * (z / y)) * L(y,u,w).
(x * (y \ z)) * L((y \ z) \ z,u,w) = (x * (z / y)) * L(y,u,w).
R(L(x,y,z) * (x \ u),x,x \ 1) = (u * (1 / x)) * L(x,y,z).
(x * (1 / y)) * L(y,z,u) = (x * L(y,z,u)) * (y \ 1).
(x * L(y,z,u)) * (y \ 1) = (x * (1 / y)) * L(y,z,u).
(x * (1 / y)) * L(y,y,x) = R(x,y * y,y \ 1).
R(x,y,R(z,u * u,u \ 1)) = R(x,y,L(u,u,z) * ((1 / u) * z)).
R(x,y,L(z,z,u) * ((1 / z) * u)) = R(x,y,R(u,z * z,z \ 1)).
a(x,y,R(z,u * u,u \ 1)) = a(x,y,L(u,u,z) * ((1 / u) * z)).
a(x,y,L(z,z,u) * ((1 / z) * u)) = a(x,y,R(u,z * z,z \ 1)).
R(x,y,L(z,u * u,u \ 1)) = R(x,y,L(u,u,z) * ((1 / u) * z)).
R(x,y,L(z,z,u) * ((1 / z) * u)) = R(x,y,L(u,z * z,z \ 1)).
a(x,y,L(z,u * u,u \ 1)) = a(x,y,L(u,u,z) * ((1 / u) * z)).
a(x,y,L(z,z,u) * ((1 / z) * u)) = a(x,y,L(u,z * z,z \ 1)).
R(x,y,L(z,u * u,u \ 1)) = R(x,y,L(u,u,z) * ((u \ 1) * z)).
R(x,y,L(z,z,u) * ((z \ 1) * u)) = R(x,y,L(u,z * z,z \ 1)).
a(x,y,L(z,u * u,u \ 1)) = a(x,y,L(u,u,z) * ((u \ 1) * z)).
a(x,y,L(z,z,u) * ((z \ 1) * u)) = a(x,y,L(u,z * z,z \ 1)).
R(x,y,L(z,z,(z \ 1) \ u) * u) = R(x,y,L((z \ 1) \ u,z * z,z \ 1)).
R(x,y,L((z \ 1) \ u,z * z,z \ 1)) = R(x,y,L(z,z,(z \ 1) \ u) * u).
R(x,y,(z \ ((u * z) / (1 / z))) \ w) = R(x,y,((K(z,z \ 1) / z) \ u) \ w).
R(x,y,((K(z,z \ 1) / z) \ u) \ w) = R(x,y,(z \ ((u * z) / (1 / z))) \ w).
a(x,y,((K(z,z \ 1) / z) \ (u / z)) * w) = a(x,y,(z \ (u / (1 / z))) * w).
a(x,y,z \ (u \ ((w * u) / (1 / u)))) = a(x,y,z \ ((K(u,u \ 1) / u) \ w)).
a(x,y,z \ ((K(u,u \ 1) / u) \ w)) = a(x,y,z \ (u \ ((w * u) / (1 / u)))).
a(x,y,z \ L(u,R(z,w,z) \ 1,R(z,w,z))) = a(x,y,R(z \ 1,w,z) * u).
a(x,y,(y * x) \ z) \ z = R(x,u,x) * (y * ((R(x,u,x) * y) \ z)).
R(x,y,x) * (z * ((R(x,y,x) * z) \ u)) = x * (z * ((x * z) \ u)).
L(L(x,y,x),z,(x * z) \ x) = (R(z,z,x) \ z) \ L(x,y,x).
L(L(x,y,x),z,(x * z) \ x) = (z \ R(z,z,x)) * L(x,y,x).
((x \ (x / (1 / y))) * (1 / y)) * y = (y * (x \ (x / (1 / y)))) * (y \ 1).
(x * (y \ (y / (1 / x)))) * (x \ 1) = R(y \ (y / (1 / x)),x,x \ 1).
(x * (y \ (y / (1 / x)))) * (x \ 1) = R(y,x,x \ 1) \ (y * x).
T(x,T(T(T(y,z),u),w) / v5) = T(x,K(z,y) * (T(T(y,u),w) / v5)).
T(x,K(y,z) * (T(T(z,u),w) / v5)) = T(x,T(T(T(z,y),u),w) / v5).
L(x,y,z * (u \ ((w * u) / (1 / u)))) = L(x,y,z * ((u \ K(u,u \ 1)) \ w)).
L(x,y,z * ((u \ K(u,u \ 1)) \ w)) = L(x,y,z * (u \ ((w * u) / (1 / u)))).
a(x \ (y \ ((z * y) / (1 / y))),u,w) = a(x \ ((y \ K(y,y \ 1)) \ z),u,w).
a(x \ ((y \ K(y,y \ 1)) \ z),u,w) = a(x \ (y \ ((z * y) / (1 / y))),u,w).
a(((K(x,x \ 1) / x) \ (y / x)) * z,u,w) = a((x \ ((1 / x) \ y)) * z,u,w).
T(T(K(x,y) * K(z,u),z),K(y,T(x,z)) * u) = (K(x,T(y,z)) \ T(u,z)) \ u.
T(x,K(y,z) * (T(T(z,u),w) / (v5 / u))) = T(x,(K(y,z) * u) / (v5 / T(z,w))).
a(x,y \ ((K(z,z \ 1) / z) \ (u / z)),w) = a(x,y \ (z \ ((1 / z) \ u)),w).
R(x,y,(z \ ((u * z) / (1 / z))) \ w) = R(x,y,((z \ K(z,z \ 1)) \ u) \ w).
R(x,y,((z \ K(z,z \ 1)) \ u) \ w) = R(x,y,(z \ ((u * z) / (1 / z))) \ w).
a(x,y,((K(z,z \ 1) / z) \ (u / z)) * w) = a(x,y,(z \ ((1 / z) \ u)) * w).
a(x,y,z \ (u \ ((w * u) / (1 / u)))) = a(x,y,z \ ((u \ K(u,u \ 1)) \ w)).
a(x,y,z \ ((u \ K(u,u \ 1)) \ w)) = a(x,y,z \ (u \ ((w * u) / (1 / u)))).
a(x,y,z \ L(u,R(z \ 1,w,z),R(z,w,z))) = a(x,y,R(z \ 1,w,z) * u).
L(x,y,z * ((1 / u) \ w)) = L(x,y,z * (u \ ((w * u) / (1 / u)))).
L(x,y,z * (u \ ((w * u) / (1 / u)))) = L(x,y,z * ((1 / u) \ w)).
L(x,y,z * (u \ ((w * u) / (1 / u)))) = L(x,y,z * ((u \ 1) \ w)).
L(x,y,z * ((u \ 1) \ w)) = L(x,y,z * (u \ ((1 / u) \ (w * u)))).
L(x,y,z * (u \ ((1 / u) \ (w * u)))) = L(x,y,z * ((u \ 1) \ w)).
a(x \ (y \ ((z * y) / (1 / y))),u,w) = a(x \ ((y \ 1) \ z),u,w).
a(x \ ((y \ 1) \ z),u,w) = a(x \ (y \ ((1 / y) \ (z * y))),u,w).
a(x \ (y \ ((1 / y) \ (z * y))),u,w) = a(x \ ((y \ 1) \ z),u,w).
(K(x,T(y,z)) \ T(u,z)) \ u = T(T(K(x,y) * K(z,u),z),K(y,x) * u).
T(T(K(x,y) * K(z,u),z),K(y,x) * u) = (K(x,T(y,z)) \ T(u,z)) \ u.
(K(x,T(y,z)) \ T(u,z)) \ u = T(T(K(z,u) * K(x,y),z),u).
T(x,(K(y,z) * u) / (w / T(z,v5))) = T(x,T(T(T(z,y),u),v5) / (w / u)).
T(x,T(T(T(y,z),u),w) / (v5 / u)) = T(x,(K(z,y) * u) / (v5 / T(y,w))).
T(x,(K(y,z) * u) / (w / T(z,v5))) = T(x,u / (w / T(T(z,y),v5))).
T(x,y / ((z * (K(u,w) * y)) / T(T(w,u),v5))) = T(x,T(T(w,y),v5) / z).
T(x,T(T(y,z),u) / w) = T(x,T(T(T(y,v5),u),z) * (w \ K(y,v5))).
T(x,T(T(T(y,z),u),w) * (v5 \ K(y,z))) = T(x,T(T(y,w),u) / v5).
T(x,T(T(y,z),u) / w) = T(x,T(T(y,v5),z * u) * (w \ K(y,v5))).
T(x,T(T(y,z),u * w) * (v5 \ K(y,z))) = T(x,T(T(y,u),w) / v5).
T(x,T(T(y,z),u) / w) = T(x,T(y,z * u) / w).
T(x,T(T(y,z \ 1),u * w) / z) = T(x,z \ T(T(y,u),w)).
T(x,y \ T(T(z,u),w)) = T(x,T(z,(y \ 1) * (u * w)) / y).
T(x,T(y,(z \ 1) * (u * w)) / z) = T(x,z \ T(T(y,u),w)).
T(x,T(y,z \ (u * w)) / z) = T(x,z \ T(T(y,u),w)).
T(x,y \ T(T(z,u),w)) = T(x,y \ T(z,u * w)).
T(x,y \ T((z * u) / z,w)) = T(x,y \ T(u,w * z)).
T(x,y \ T(z * u,w * u)) = T(x,y \ T(u * z,w)).
T(x,y \ T(z * u,z * w)) = T(x,y \ T(u * z,w)).
T(x,y \ T(z,(u \ 1) * w)) = T(x,y \ T(T(z,w),u)).
T(x,y \ T((z * u) / z,w * v5)) = T(x,y \ T(T(T(u,v5),z),w)).
T(x,y \ T(T(T(z,u),w),v5)) = T(x,y \ T(z,u * (w * v5))).
T(x,y \ T(z,u \ w)) = T(x,y \ T(T(z,w),u)).
T(x,y \ T(T(z,u),w)) = T(x,y \ T(z,w \ u)).
T(x,y \ T(z,u \ w)) = T(x,y \ T(z,w * u)).
T(x,y \ T(z,u / w)) = T(x,y \ T(z,u * w)).
T(x,y \ T(T(T(z,u),w),v5)) = T(x,y \ T(z,(v5 * u) * w)).
T(x,y \ T(z,(u * w) * v5)) = T(x,y \ T(z,w * (v5 * u))).
T(x,(((y * z) * u) / w) \ T(z * u,z * (u * y))) = T(x,w / R(y,z,u)).
T(x,y / R(z,u,w)) = T(x,(((z * u) * w) / y) \ T(w * u,w * z)).
T(x,(((y * z) * u) / w) \ T(u * z,u * y)) = T(x,w / R(y,z,u)).
T(x,y / R(z,u,w)) = T(x,(((z * u) * w) / y) \ T(u * w,z)).
T(x,(((y * z) * u) / w) \ T(z * u,y)) = T(x,w / R(y,z,u)).
R(x,y,((1 / z) \ u) \ w) = R(x,y,(z \ ((u * z) / (1 / z))) \ w).
R(x,y,(z \ ((u * z) / (1 / z))) \ w) = R(x,y,((1 / z) \ u) \ w).
R(x,y,(z \ ((u * z) / (1 / z))) \ w) = R(x,y,((z \ 1) \ u) \ w).
R(x,y,((z \ 1) \ u) \ w) = R(x,y,(z \ ((1 / z) \ (u * z))) \ w).
R(x,y,(z \ ((1 / z) \ (u * z))) \ w) = R(x,y,((z \ 1) \ u) \ w).
a(x,y,z \ (u \ ((w * u) / (1 / u)))) = a(x,y,z \ ((u \ 1) \ w)).
a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ (u \ ((1 / u) \ (w * u)))).
a(x,y,z \ (u \ ((1 / u) \ (w * u)))) = a(x,y,z \ ((u \ 1) \ w)).
a(x,y,z \ L(u,R(z \ 1,w,z),z)) = a(x,y,R(z \ 1,w,z) * u).
a(x,y,z \ L(u,z \ 1,z)) = a(x,y,R(z \ 1,w,z) * u).
a(x,y,(z \ 1) * u) = a(x,y,R(z \ 1,w,z) * u).
a(x,y,R(z \ 1,u,z) * w) = a(x,y,(z \ 1) * w).
a(x,y,R((z \ 1) * u,w,z)) = a(x,y,(z \ 1) * R(u,w,z)).
a(x,y,L((z \ 1) * u,w,z)) = a(x,y,(z \ 1) * R(u,w,z)).
a(x,y,L((z \ 1) * u,w,z)) = a(x,y,R(u,w,z) * (z \ 1)).
(R(x,y,z) * u) / R(w * (x / w),y,z) = ((x * u) / x) * K(w \ R(x,y,z),w).
(x / (1 / y)) * R(1 / y,z,u) = (x / (y \ 1)) * ((y \ 1) * (R(y,z,u) \ y)).
(x / (y \ 1)) * ((y \ 1) * (R(y,z,u) \ y)) = (x / (1 / y)) * R(1 / y,z,u).
(x / (y \ 1)) * R(y \ 1,z,u) = (x / (1 / y)) * R(1 / y,z,u).
(x / (1 / y)) * R(1 / y,z,u) = (x / (y \ 1)) * R(y \ 1,z,u).
(1 / x) \ ((y / (x * y)) * z) = (z / (x \ 1)) * R(x \ 1,x,y).
a(x / (y / z),u,x / (y / z)) = a(L((y / z) \ x,z \ y,z),u,y \ (x * z)).
a(L((x / y) \ z,y \ x,y),u,x \ (z * y)) = a(z / (x / y),u,z / (x / y)).
(x \ ((y / z) \ u)) * (((y / z) \ u) \ u) = (x \ (u / (z \ y))) * (z \ y).
(x \ (y / (z \ u))) * (z \ u) = (x \ (y / (u / z))) * (u / z).
(x \ (y / (z / u))) * (z / u) = (x \ (y / (u \ z))) * (u \ z).
(x \ (x / (1 / y))) * (1 / y) = y \ (x \ (x / (y \ 1))).
(x \ (y \ (y / (x \ 1)))) * x = (x * (y \ (y / (1 / x)))) * (x \ 1).
(x * (y \ (y / (1 / x)))) * (x \ 1) = (x \ (y \ (y / (x \ 1)))) * x.
(x * (y \ (y / (1 / x)))) * (x \ 1) = y \ (y / (x \ 1)).
x \ (x / (y \ 1)) = R(x,y,y \ 1) \ (x * y).
R(x,y,y \ 1) \ (x * y) = x \ (x / (y \ 1)).
a(x,y \ K(y,z),R(y \ K(y,z),y,z)) = a(x,T(z / (z * y),y),y \ 1).
a(x,y \ K(y,z),R(y \ K(y,z),y,z)) = a(x,z / (z * y),y \ 1).
a(x,y \ K(y,z),R(y \ K(y,z),y,z)) = a(x,(z * y) \ z,y \ 1).
a(x,y \ K(y,z),T(z / (z * y),y)) = a(x,(z * y) \ z,y \ 1).
a(x,(y * z) \ y,z \ 1) = a(x,z \ K(z,y),(y * z) \ y).
a(x,y \ K(y,z),(z * y) \ z) = a(x,(z * y) \ z,y \ 1).
a(x,(y * z) \ y,z \ 1) = a(x,z \ 1,(y * z) \ y).
(R(x,y,z) * u) / R(w * (x / w),y,z) = ((x * u) / x) * K(w \ x,w).
(R(x,y,z) * u) / R(w * (x / w),y,z) = (x * u) / (w * (x / w)).
(x * y) / (y * (x / y)) = R(T(x,y),z,u) / (R(x,z,u) / y).
R(T(x,y),z,u) / (R(x,z,u) / y) = (x * y) / (y * (x / y)).
R(T(x,y),z,u) / (R(x,z,u) / y) = T(x,y) / (x / y).
T(T(x,y) / (x / y),x) = R(x,z,u) / (R(x,z,u) / y).
R(x,y,z) / (R(x,y,z) / u) = x / (x / u).
R(x \ R(x,y,z),u,w) / (R(x \ R(x,y,z),u,w) / (x \ 1)) = (x \ R(x,y,z)) / R(x,y,z).
a((x * (y / x)) \ (x * z),u,y \ (z * x)) = a(z / (y / x),u,z / (y / x)).
a(x / (y / z),u,x / (y / z)) = a(y \ (z * x),u,y \ (x * z)).
a(x \ (y * 1),z,x \ (1 * y)) = R(x / y,z,(x / y) \ 1) \ (x / y).
R(x / y,z,(x / y) \ 1) \ (x / y) = a(x \ (y * 1),z,x \ (1 * y)).
R(x / y,z,(x / y) \ 1) \ (x / y) = a(x \ y,z,x \ (1 * y)).
R(x / y,z,(x / y) \ 1) \ (x / y) = a(x \ y,z,x \ y).
(x / T(y,z)) * L(K(y,z) * ((x / y) \ u),w,v5) = L(u / (x / y),w,v5) * (x / y).
(x / y) * ((z / (y \ x)) * L(y \ x,u,w)) = L(y \ x,u,w) * (K(y,y \ x) * z).
L(x * y,z,R(1 / x,x,y) * (y \ (R(1 / x,x,y) \ y))) = x * y.
L(x * y,z,R(1 / x,x,y) * (y \ (x * y))) = x * y.
L(x * y,z,R(1 / x,x,y) * T(x,y)) = x * y.
L(x * y,z,R(x,x,y) \ T(x,y)) = x * y.
x * y = L(x * y,z,R(x,x,y) \ x).
L(x * y,z,R(x,x,y) \ x) = x * y.
(R(x,x,y) \ x) \ (x * y) = ((R(x,x,y) \ x) \ 1) * (x * y).
((R(x,x,y) \ x) \ 1) * (x * y) = (R(x,x,y) \ x) \ (x * y).
(x \ R(x,x,y)) * (x * y) = (R(x,x,y) \ x) \ (x * y).
(R(x,x,y) \ x) \ (x * y) = (x \ R(x,x,y)) * (x * y).
L(R(1 / L(x,y,x),y,x),x,z) = R(L(x,y,x) * ((z * L(x,y,x)) \ z),y,x) / x.
R(L(x,y,x) * ((z * L(x,y,x)) \ z),y,x) / x = L(R(1 / L(x,y,x),y,x),x,z).
L((x * x) \ x,y,((x \ 1) \ 1) \ 1) = R(x \ 1,((x \ 1) \ 1) \ y,x).
L((x * x) \ x,y,((x \ 1) \ 1) \ 1) = R(x \ 1,x \ y,x).
R(x \ 1,x \ y,x) = L((x * x) \ x,y,x \ 1).
L((x * x) \ x,y,x \ 1) = R(x \ 1,x \ y,x).
L(x,L(y \ z,y,z \ R(u,w,w)) \ L(u,w,w),v5) = L(x,(z \ R(u,w,w)) * y,v5).
R(x,y \ T(x,z),(y \ T(x,z)) \ x) \ x = a(x,y \ T(x,z),y) \ 1.
R(x,y \ T(x,z),(y \ T(x,z)) \ x) \ x = a(x,y \ x,y) \ 1.
a(x \ 1,y \ x,y) = R(x,y \ T(x,z),(y \ T(x,z)) \ x) \ x.
R(x,y \ T(x,z),(y \ T(x,z)) \ x) \ x = a(x \ 1,y \ x,y).
R(x,y \ T(x,z),y) \ x = a(x \ 1,y \ x,y).
R(x,y \ x,y) \ x = a(x \ 1,y \ x,y).
a(x \ 1,y \ x,y) = R(x,y \ x,y) \ x.
R((x / y) \ z,u \ ((x / y) \ z),u) \ ((x / y) \ z) = a(((x / y) \ z) \ 1,u \ ((y \ x) \ z),u).
a(x,y,R(z \ R(z,u,w),v5,v6)) = a(x,y,R(z,v5,v6) \ R(L(z,u,w),v5,v6)).
a(x,y,R(z,u,w) \ R(L(z,v5,v6),u,w)) = a(x,y,R(z \ R(z,v5,v6),u,w)).
a(x,y,L(z \ R(z,u,w),v5,v6)) = a(x,y,R(z,v5,v6) \ R(L(z,u,w),v5,v6)).
a(x,y,R(z,u,w) \ R(L(z,v5,v6),u,w)) = a(x,y,L(z \ R(z,v5,v6),u,w)).
a(x,y,R(z \ L(z,u,w),v5,v6)) = a(x,y,L(z \ R(z,u,w),v5,v6)).
a(x,y,L(z \ R(z,u,w),v5,v6)) = a(x,y,R(z \ L(z,u,w),v5,v6)).
a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,L(z \ R(z,u,w),v5,v6)).
a(x,y,L(z \ L(z,u,w),z,w * u)) = a(x,y,a(z,u,w)).
(x / T(y,z)) * L((x / T(y,z)) \ u,w,v5) = L(u / (x / y),w,v5) * (x / y).
(x \ y) * L((y / T(x,x \ y)) \ z,u,w) = L(z / (y / x),u,w) * (y / x).
(x \ y) * L((x \ y) \ z,u,w) = L(z / (y / x),u,w) * (y / x).
L(x / (y / z),u,w) * (y / z) = (z \ y) * L((z \ y) \ x,u,w).
(x \ y) * L((x \ y) \ z,u,w) = (y / x) * L((y / x) \ z,u,w).
(x / y) * L((x / y) \ z,u,w) = (y \ x) * L((y \ x) \ z,u,w).
(x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x.
L(x * y,z,u) / y = y \ L(y * x,z,u).
L(x,y,z) / (u \ x) = (u \ x) \ L((u \ x) * u,y,z).
(x \ y) \ L((x \ y) * x,z,u) = L(y,z,u) / (x \ y).
(x \ L(x * y,z,u)) * x = L(y * x,z,u).
L(x,y,z) / u = u \ L(u * (x / u),y,z).
x \ L(x * (y / x),z,u) = L(y,z,u) / x.
(1 / (1 / (x * y))) / y = y \ L(y * x,(x * y) \ 1,x * y).
x \ L(x * y,(y * x) \ 1,y * x) = (1 / (1 / (y * x))) / x.
(x * (x \ L(x * y,z,u))) \ T(x,x \ L(y * x,z,u)) = L(y * x,z,u) \ x.
L(R(x,y,x),z,u) / x = x \ L(x * a(x,y,x),z,u).
x \ L(x * a(x,y,x),z,u) = L(R(x,y,x),z,u) / x.
(x \ L(y,z,u)) * x = L((x \ y) * x,z,u).
L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x.
(L(x,y,z) * (u \ 1)) * u = L((x * (u \ 1)) * u,y,z).
L((x * (y \ 1)) * y,z,u) = (L(x,z,u) * (y \ 1)) * y.
a(x \ L(y * z,u,w),v5,v6) = a(x \ L(z * y,u,w),v5,v6).
x * (L(y,z,u) / x) = L(x * (y / x),z,u).
L(x * (y / x),z,u) = x * (L(y,z,u) / x).
L((x \ y) * x,z,u) != w * x | x \ L(y,z,u) = w.
a((L((x \ y) * x,z,u) * w) * v5,v6,v7) = a(v5 * ((x * (x \ L(y,z,u))) * w),v6,v7).
L(x,y,z) = (L(x,u,w) \ L(x,y,z)) * L(x,u,w).
(L(x,y,z) \ L(x,u,w)) * L(x,y,z) = L(x,u,w).
K(x,x \ y) * (L(y,z,u) / w) = (x * (L(y,z,u) / x)) / w.
K(x \ y,x) * (L(y,z,u) \ w) = (x * (L(y,z,u) / x)) \ w.
L(x,y,z) / L(x,u,w) = L(x,u,w) \ L(x,y,z).
(L(x,y,z) / x) * (x / L(x,u,w)) = L(x,u,w) \ L(x,y,z).
L(x,y,z) / (u \ x) = (x / u) \ L(x,y,z).
x \ L(x * a(x,y,x),z,u) = L(x,y,x) \ L(x,z,u).
L(x * (y \ 1),a(z,u,w),y) = L(x,a(z,u,w),y) * (y \ 1).
x \ L(R(x,y,x),z,u) = L(x,y,x) \ L(x,z,u).
L(x,y,x) \ L(x,z,u) = x \ L(R(x,y,x),z,u).
a((x \ L(R(x,y,x),z,u)) \ w,v5,v6) = a((x \ L(x,z,u)) \ w,v5,v6).
x * (y / z) != (u * (y / u)) / z | x = K(u,u \ y).
K(x,x \ y) = K(x,x \ L(y,z,u)).
K(x,x \ L(y,z,u)) = K(x,x \ y).
T(x,x \ L(y,z,u)) = x * K(x,x \ y).
K(x,y) * K(y,y \ x) = a(y,y \ L(x,z,u),y).
a(x,x \ L(y,z,u),x) = K(y,x) * K(x,x \ y).
T(x,x \ y) = T(x,x \ L(y,z,u)).
T(x,x \ L(y,z,u)) = T(x,x \ y).
T(x,x \ ((y * z) \ u)) = T(x,x \ (z \ (y \ u))).
a(x,x \ L(y,z,u),x) = a(x,x \ y,x).
a(x,x \ y,x) * x = R(x,x \ L(y,z,u),x).
R(x,x \ L(y,z,u),x) = a(x,x \ y,x) * x.
R(x,x \ L(y,z,u),x) = R(x,x \ y,x).
T(x,x \ (y \ ((z * u) \ (z * (u * y))))) = T(x,x \ (a(z,u,y) \ 1)).
x * (y \ z) != (u * (y / u)) \ z | x = K(u \ y,u).
K(x \ y,x) = K(x \ L(y,z,u),x).
K(x \ L(y,z,u),x) = K(x \ y,x).
K(x \ (y \ (z * u)),x) = K(x \ ((z \ y) \ u),x).
K(x \ ((y \ z) \ u),x) = K(x \ (z \ (y * u)),x).
T(x * K(x \ y,x),y) = L(x,x \ L(y,z,u),x).
K(x \ (1 \ (y * z)),x) = K(y * (x \ z),x).
K(x \ (y * z),x) = K(y * (x \ z),x).
a(x,y,z) * (u * K(u * (w \ a(x,y,z)),w)) = (w \ (u * a(x,y,z))) * w.
K((x * y) * (x \ z),x) = K(x * (y / (z \ x)),x).
L(x,x \ L(y,z,u),x) = L(x,x \ y,x).
L((x * x) \ x,T(x \ 1,x) \ L(y,z,u),(x * x) \ x) = L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x).
K(x * (y / (z \ x)),x) = K(y * ((x \ z) * x),x).
K(x * (y / (z \ x)),x) = K(y * T(z,x),x).
K(x * (y / (z \ x)),x) = K(y * z,x).
T(x * K(y * z,x),x \ (x * (y / (z \ x)))) = (x \ (x * (y / (z \ x)))) \ T(x * (y / (z \ x)),x).
(x \ (x * (y / (z \ x)))) \ T(x * (y / (z \ x)),x) = T(x * K(y * z,x),x \ (x * (y / (z \ x)))).
(x \ L(x,y,z)) * (x / L(x,u,w)) = L(x,u,w) \ L(x,y,z).
(x \ L(x,y,z)) * (L(x,u,w) \ x) = L(x,u,w) \ L(x,y,z).
(x \ L(x,y,z)) * (L(x,y,z) \ x) = 1.
(L(x,y,z) \ x) * (x \ L(x,u,w)) = L(x,y,z) \ L(x,u,w).
(L(x,y,z) \ x) \ 1 = x \ L(x,y,z).
(x \ L(x,y,z)) \ 1 = L(x,y,z) \ x.
1 / x = (L(x,y,z) \ x) * ((x \ L(x,y,z)) / x).
(L(x,y,z) \ x) * ((x \ L(x,y,z)) / x) = 1 / x.
x * ((L(x,y,z) \ x) \ 1) = L(x,y,z).
(L(x,y,z) \ x) * ((x \ L(x,y,z)) * u) = L(u,(L(x,y,z) \ x) \ 1,L(x,y,z) \ x).
L(x,(L(y,z,u) \ y) \ 1,L(y,z,u) \ y) = (L(y,z,u) \ y) * ((y \ L(y,z,u)) * x).
(L(x,y,z) \ x) * R(x \ L(x,y,z),u,w) = R(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x).
R(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = (L(x,y,z) \ x) * R(x \ L(x,y,z),u,w).
(1 / (L(x,y,z) \ x)) * ((L(x,y,z) \ x) * u) = L(u,L(x,y,z) \ x,x \ L(x,y,z)).
a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1).
(L(x,y,(y * x) \ x) \ x) \ 1 = x \ ((R(y,y,x) \ y) \ x).
(x * (1 / (L(y,z,u) \ y))) * (L(y,z,u) \ y) = R(x,y \ L(y,z,u),L(y,z,u) \ y).
(x \ L(x,y,z)) * L(x,u,w) = (L(x,y,z) \ x) \ L(x,u,w).
(L(x,y,z) \ x) \ L(x,u,w) = (x \ L(x,y,z)) * L(x,u,w).
(x \ L(x,y,z)) * R(x,u,w) = (L(x,y,z) \ x) \ R(x,u,w).
(L(x,y,z) \ x) \ R(x,u,w) = (x \ L(x,y,z)) * R(x,u,w).
R(x \ L(x,y,z),u,w) * x = R(L(x,y,z) \ x,u,w) \ x.
R(L(x,y,z) \ x,u,w) \ x = R(x \ L(x,y,z),u,w) * x.
K(x,y) * (z \ L(z,u,w)) = (L(z,u,w) \ z) \ K(x,y).
(L(x,y,z) \ x) \ K(u,w) = K(u,w) * (x \ L(x,y,z)).
((x \ y) \ ((1 / x) * y)) \ 1 = L(x \ y,x,x \ 1) \ (x \ y).
L(x \ y,x,x \ 1) \ (x \ y) = ((x \ y) \ ((1 / x) * y)) \ 1.
(x * L(x \ 1,y,z)) \ 1 = L(1 / x,y,z) \ (1 / x).
(x * L(x \ 1,y,z)) \ 1 = L(x \ 1,y,z) \ (x \ 1).
R(L(x,y,z) \ x,x,u) = L(x \ L(x,y,z),x,u) \ 1.
L(x \ L(x,y,z),x,u) \ 1 = R(L(x,y,z) \ x,x,u).
(L(x,y,z) \ x) * x = (x \ L(x,y,z)) \ x.
(x \ L(x,y,z)) \ x = (L(x,y,z) \ x) * x.
K(x,y) * (L(z,u,w) \ z) = (z \ L(z,u,w)) \ K(x,y).
(x \ L(x,y,z)) \ K(u,w) = K(u,w) * (L(x,y,z) \ x).
(x * L(x \ 1,y,z)) \ 1 = L(K(u,w) / x,y,z) \ (K(u,w) / x).
L(K(x,y) / z,u,w) \ (K(x,y) / z) = (z * L(z \ 1,u,w)) \ 1.
L(((L(x / y,z,u) \ (x / y)) \ 1) \ y,(L(x / y,z,u) \ (x / y)) \ 1,y \ x) = L(x / y,z,u) \ x.
L(x,y,a(z \ 1,z,u) \ 1) = L(x,y,a(u,z,z \ 1)).
(x \ L(x,y,z)) \ x != u * x | L(x,y,z) \ x = u.
((L(x,y,z) \ x) * x) \ x = x \ L(x,y,z).
(x * (L(x,y,z) \ x)) \ x = x \ L(x,y,z).
(x * L(x \ 1,y,z)) \ 1 = x \ (L(1 / x,y,z) \ 1).
L(x,y,z \ (L(1 / z,u,w) \ 1)) = L(x,y,(L(z \ 1,u,w) * z) \ 1).
L(x,y,(L(z \ 1,u,w) * z) \ 1) = L(x,y,z \ (L(1 / z,u,w) \ 1)).
((x / (y * x)) * y) \ 1 = x \ ((R(y,y,x) \ y) \ x).
x \ ((R(y,y,x) \ y) \ x) = ((x / (y * x)) * y) \ 1.
x \ ((R(y,y,x) \ y) \ x) = y \ ((x / (y * x)) \ 1).
x \ L(x,y,(x * y) \ x) = y \ ((x / (y * x)) \ 1).
L(x,y,z \ ((x / (z * x)) \ 1)) = x.
L(x,y,z \ R(z,z,x)) = x.
(x \ R(x,x,y)) \ y = ((x \ R(x,x,y)) \ 1) * y.
((x \ R(x,x,y)) \ 1) * y = (x \ R(x,x,y)) \ y.
(x \ R(x,x,y)) * (z * T(y,(x \ R(x,x,y)) * z)) = y * ((x \ R(x,x,y)) * z).
R(x,x,y \ x) / (y \ x) = (R(x,x,y \ x) / x) * y.
R(x,x,y) * y = (R(x,x,y) / x) * (x * y).
(R(x,x,y) / x) * (x * y) = R(x,x,y) * y.
(x \ R(x,x,y)) * (x * y) = R(x,x,y) * y.
(R(x,x,y) \ x) \ (x * y) = R(x,x,y) * y.
(R(x,x,y) * y) \ (x * y) = R(x,x,y) \ x.
(R(x,x,x \ y) * (x \ y)) \ (x * (x \ y)) = (((x \ y) / y) \ 1) \ x.
a(x,y,x) \ (R(z,z,x) \ z) = (R(z,z,x) * x) \ (z * L(x,y,x)).
(R(x,x,y) * y) \ (x * L(y,z,y)) = a(y,z,y) \ (R(x,x,y) \ x).
(R(x,x,y) \ x) * y = (x \ R(x,x,y)) \ y.
(x \ R(x,x,y)) \ y = (R(x,x,y) \ x) * y.
x * (y \ ((x / (y * x)) \ 1)) = L(x,y,(x * y) \ x).
x * (y \ R(y,y,x)) = L(x,y,(x * y) \ x).
L(x,y,(x * y) \ x) = x * (y \ R(y,y,x)).
(x \ R(x,x,y)) * y = L(y,x,(y * x) \ y).
L(x,y,(x * y) \ x) = (y \ R(y,y,x)) * x.
x * (y \ R(y,y,x)) = L(x,y,(y * x) \ x).
L(x,y,(y * x) \ x) = x * (y \ R(y,y,x)).
x * (y \ R(y,y,x)) = (R(y,y,x) \ y) \ x.
(R(x,x,y) \ x) \ y = y * (x \ R(x,x,y)).
(x \ (x * (y \ R(y,y,x)))) / L(x,y,(y * x) \ x) = 1 / x.
L(K(x,y) * z,u,(u * z) \ z) = (K(x,y) * z) * (u \ R(u,u,K(x,y) * z)).
R(x,x,y \ x) / (y \ x) = (x \ R(x,x,y \ x)) * y.
(x \ R(x,x,y \ x)) * y = (x / y) \ R(x,x,y \ x).
(x / y) \ R(x,x,y \ x) = (x \ R(x,x,y \ x)) * y.
(L(x,y,z) \ x) \ L(x,u,w) = L(x,y,z) * (x \ L(x,u,w)).
R(L(x,y,z) \ x,u,w) \ x = x * R(x \ L(x,y,z),u,w).
(x \ R(x,x,y)) / L(y,x,(x * y) \ y) = 1 / y.
(x \ R(x,x,y)) / L(y,x,(y * x) \ y) = 1 / y.
(x \ R(x,x,y)) / ((x \ R(x,x,y)) * y) = 1 / y.
(1 / x) \ (y \ R(y,y,x)) = (y \ R(y,y,x)) * x.
x \ (1 / (1 / (x * y))) = (1 / (1 / (y * x))) / x.
(1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))).
(1 / ((x * (y / (x * y))) \ 1)) / (y / (x * y)) = (y / (x * y)) \ (1 / (1 / ((y / (x * y)) * x))).
((1 / x) * y) \ (x \ y) = ((x \ y) \ ((1 / x) * y)) \ 1.
((x \ y) \ ((1 / x) * y)) \ 1 = ((1 / x) * y) \ (x \ y).
L(K(x,y) / z,u,w) \ (K(x,y) / z) = L(z \ 1,u,w) \ (z \ 1).
L(x \ 1,y,z) \ (x \ 1) = L(x \ K(u,w),y,z) \ (x \ K(u,w)).
L(x \ K(y,z),u,w) \ (x \ K(y,z)) = L(x \ 1,u,w) \ (x \ 1).
L(T(x,y) \ 1,z,u) \ (x \ K(y,x)) = L(x \ 1,z,u) \ (x \ 1).
L(x \ K(y,z),u,w) \ (x \ K(y,z)) = x \ (L(1 / x,u,w) \ 1).
L(T(x,y) \ 1,z,u) \ (x \ K(y,x)) = x \ (L(1 / x,z,u) \ 1).
T(x,x \ (y \ L(y,z,u))) = T(x,x \ (a(u,z,y) \ 1)).
T(x,x \ (a(y,z,u) \ 1)) = T(x,x \ (u \ L(u,z,y))).
T(x,x \ a(y,z,u)) = T(x,x \ (w \ L(w,v5,v6))).
T(x,x \ a(y,z,u)) = (x \ (w \ L(w,v5,v6))) \ (w \ L(w,v5,v6)).
(x \ (y \ L(y,z,u))) \ (y \ L(y,z,u)) = (x \ 1) \ 1.
x \ (y \ L(y,z,u)) = (((y \ L(y,z,u)) / x) \ 1) \ 1.
(((x \ L(x,y,z)) / u) \ 1) \ 1 = u \ (x \ L(x,y,z)).
K(x,y) / (z \ (u \ L(u,w,v5))) = K(x,y) * (((u \ L(u,w,v5)) / z) \ 1).
K(x,y) * (((z \ L(z,u,w)) / v5) \ 1) = K(x,y) / (v5 \ (z \ L(z,u,w))).
K(x,y) / (z \ (u \ L(u,w,v5))) != K(x,y) * v6 | ((u \ L(u,w,v5)) / z) \ 1 = v6.
a(x,y,z) * (u * K(w \ u,w)) = (w \ (u * a(x,y,z))) * w.
a(x,y,z) * ((u \ w) * u) = (u \ (w * a(x,y,z))) * u.
(x \ (y * a(z,u,w))) * x = a(z,u,w) * ((x \ y) * x).
(x \ (a(y,z,u) * w)) * x = a(y,z,u) * ((x \ w) * x).
L(a(x,y,z),u,w) \ v5 = (v5 \ (L(a(x,y,z),u,w) \ v5)) * v5.
(x \ (L(a(y,z,u),w,v5) \ x)) * x = L(a(y,z,u),w,v5) \ x.
(L(a(x,y,z),u,w) \ v5) / v5 = v5 \ (L(a(x,y,z),u,w) \ v5).
x \ (L(a(y,z,u),x,x \ 1) \ x) = T(a(y,z,u) \ x,x) * (x \ 1).
x \ (L(a(y,z,u),x,x \ 1) \ x) = (1 / x) * (a(y,z,u) \ x).
(K(x,y) * z) * (y \ R(y,y,K(x,y) * z)) = (R(y,y,z) \ T(y,x)) \ z.
(K(x \ 1,x) * y) * (x \ R(x,x,K(x \ 1,x) * y)) = (x * R(1 / x,x,y)) \ y.
L(x * y,z,u) \ T(x,x \ L(y * x,z,u)) = L(y * x,z,u) \ x.
L(x * y,z,u) \ T(x,x \ (y * x)) = L(y * x,z,u) \ x.
L(x * y,z,u) \ T(x,T(y,x)) = L(y * x,z,u) \ x.
L(x * y,z,u) \ T(x,y) = L(y * x,z,u) \ x.
(x \ R(x,x,y)) * (z * T(y,z)) = y * ((x \ R(x,x,y)) * z).
(x \ R(x,x,y)) * (y * z) = y * ((x \ R(x,x,y)) * z).
(x / y) * ((z / (y \ x)) * L(y \ x,u,w)) = L(x / y,u,w) * z.
x * y != L(x,z,u) * w | y = (w / x) * L(x,z,u).
(x / (y \ z)) * L(y \ z,u,w) = (x / (z / y)) * L(z / y,u,w).
(x / (y / z)) * L(y / z,u,w) = (x / (z \ y)) * L(z \ y,u,w).
R(L(x,y,x) * ((z * L(x,y,x)) \ z),y,x) / x = L(1 / x,x,z).
(x * R((y * L(x,z,x)) \ y,z,x)) / x = L(1 / x,x,y).
(x * L(x \ 1,x,R(y,z,x))) / x = L(1 / x,x,y).
L(1 / x,x,y) = L(1 / x,x,R(y,z,x)).
L(1 / x,x,R(y,z,x)) = L(1 / x,x,y).
L(1 / x,x,L(y,z,x)) = L(1 / x,x,y).
L(1 / x,x,(x * y) \ z) = L(1 / x,x,y \ (x \ z)).
L(x,L(y \ z,y,z \ L(u,w,w)) \ L(u,w,w),v5) = L(x,(z \ R(u,w,w)) * y,v5).
a((L((x \ y) * x,z,u) * w) * v5,v6,v7) = a(v5 * (L(y,z,u) * w),v6,v7).
(K(x \ 1,x) * y) * (x \ R(x,x,y)) = (x * R(1 / x,x,y)) \ y.
(x * R(1 / x,x,y)) \ y = K(x \ 1,x) * (y * (x \ R(x,x,y))).
K(x \ 1,x) * (y * (x \ R(x,x,y))) = (x * R(1 / x,x,y)) \ y.
(x * R(1 / x,x,y)) \ y = (T(x,x \ 1) \ R(x,x,y)) * y.
(T(x,x \ 1) \ R(x,x,y)) * y = (x * R(1 / x,x,y)) \ y.
((x \ 1) * R(x,x,y)) * y = (x * R(1 / x,x,y)) \ y.
(x * R(1 / x,x,y)) \ y = ((x \ 1) * R(x,x,y)) * y.
L(x,T((L(y,z,z) / u) * w,w \ u),v5) = L(x,(u \ R(y,z,z)) * w,v5).
L(x,(y \ R(z,u,u)) * w,v5) = L(x,(L(z,u,u) / y) * w,v5).
L(x,(L(y,z,z) / u) * w,v5) = L(x,(u \ R(y,z,z)) * w,v5).
L(x,(y \ R(z,u,u)) * w,v5) = L(x,(y \ L(z,u,u)) * w,v5).
L(x,(y \ L(z,u,u)) * w,v5) = L(x,(y \ R(z,u,u)) * w,v5).
a(x * (y * (L(y \ (x \ z),x,y) * K(u,w))),v5,v6) = a(y * (x * ((y * x) \ z)),v5,v6).
L(x,y \ ((z * T(u,w)) * L(v5,z,u)),v6) = L(x,y \ (u * (T(z,T(u,w)) * v5)),v6).
L(x,y \ (z * (T(u,T(z,w)) * v5)),v6) = L(x,y \ (L(v5,u,z) * (u * z)),v6).
L(x,y \ (L(z,u,w) * (u * w)),v5) = L(x,y \ (w * (T(u,T(w,v6)) * z)),v5).
L(x,y \ (L(z,u,w) * (u * w)),v5) = L(x,y \ ((u * z) * w),v5).
L(x,(y * (z * u)) \ (L(y,z,u) * (z * u)),w) = L(x,a(y,z,u),w).
L(x,(T(y,z) * u) * R(a(w,v5,v6),y,u),v7) = L(x,T(a(w,v5,v6) * y,z) * u,v7).
L(x,(T(y,z) * u) * a(L(w,y,u),v5,v5 \ 1),v6) = L(x,T(a(w,v5,v5 \ 1) * y,z) * u,v6).
T((1 / (L(x,y,x) * y)) * x,y * x) = ((1 / (y * x)) * R(1 / y,y,x)) * (y * x).
T((1 / (x * y)) * R(x,y,x),y * x) = ((1 / (y * x)) * R(1 / y,y,x)) * (y * x).
T((1 / (x * y)) * R(x,y,x),y * x) = R(((1 / x) / y) * (1 / y),y,x) * (y * x).
T((1 / (x * y)) * R(x,y,x),y * x) = ((((1 / x) / y) * (1 / y)) * y) * x.
T((1 / (x * y)) * R(x,y,x),y * x) = R((1 / x) / y,y,y \ 1) * x.
T((1 / (x * y)) * R(x,y,x),y * x) = ((1 / x) * (y \ 1)) * x.
L(T(x \ 1,x * 1),T(x \ 1,y),T(x \ 1,z)) = (1 / x) \ (x \ (x \ 1)).
L(T(x \ 1,x),T(x \ 1,y),T(x \ 1,z)) = (1 / x) \ (x \ (x \ 1)).
(1 / x) \ (x \ (x \ 1)) = L(T(x \ 1,x),x \ 1,x \ 1).
L(T(x \ 1,x),x \ 1,x \ 1) = (1 / x) \ (x \ (x \ 1)).
(1 / x) \ (x \ (x \ 1)) = T(T(x \ 1,x),x \ (x \ 1)).
T(T(x \ 1,x),x \ (x \ 1)) = (1 / x) \ (x \ (x \ 1)).
T(T(x \ 1,x),x \ (x \ 1)) = (x \ (1 / x)) * x.
1 / ((x \ (1 / x)) * x) = T(x \ 1,x \ (x \ 1)) \ 1.
T(x \ 1,x \ (x \ 1)) \ 1 = 1 / ((x \ (1 / x)) * x).
R(x,x,x \ (x \ 1)) = 1 / ((x \ (1 / x)) * x).
R(x,x \ (x \ 1),x) = R(x,x,x \ (x \ 1)).
a(x,x,x \ (x \ 1)) * x = R(x,x \ (x \ 1),x).
x * y != R(y,z \ (y \ 1),z) | x = a(y,z \ (y \ 1),z).
a(x,x,x \ (x \ 1)) = a(x,x \ (x \ 1),x).
a(x,x \ (x \ 1),x) = a(x,x,x \ (x \ 1)).
a(x,x,x \ (x \ 1)) \ (x \ 1) = (x \ (x \ 1)) * T(x,x \ 1).
a(x,x,x \ (x \ 1)) \ (x \ y) = R(x,x \ (x \ 1),x) \ y.
a(x,x,x \ (x \ 1)) \ (x \ y) = R(x,x,x \ (x \ 1)) \ y.
(x \ (x \ 1)) * T(x,x \ 1) = R(x,x,x \ (x \ 1)) \ 1.
(x \ (x \ 1)) * T(x,x \ 1) = x * ((x * x) \ 1).
a(x,y,z) \ (a(x,y,z) \ 1) = (a(x,y,z) * a(x,y,z)) \ 1.
(a(x,y,z) * a(x,y,z)) \ 1 = a(x,y,z) \ (a(x,y,z) \ 1).
x * ((x * x) \ 1) = (x \ (1 / x)) * x.
(x \ (1 / x)) * x = x * ((x * x) \ 1).
T(x \ (1 / x),x) = (x * x) \ 1.
R((x * x) \ 1,y,z) \ T(x \ (1 / x),x) = R(x \ (1 / x),y,z) \ (x \ (1 / x)).
a(x * ((y * y) \ 1),z,u) = a(x * (y \ (1 / y)),z,u).
T(x / (L(x,x,x) \ 1),1 / x) = ((1 / x) * (1 / x)) \ 1.
a(x * ((y * y) \ 1),z,u) = a(x * (y \ (y \ 1)),z,u).
a((((x * x) \ 1) \ y) * (x \ (x \ 1)),z,u) = a(y,z,u).
((1 / x) * (1 / x)) \ 1 = T(x / (L(x,x,x) \ 1),x \ 1).
T(x / (L(x,x,x) \ 1),x \ 1) = ((1 / x) * (1 / x)) \ 1.
((1 / x) * (1 / x)) \ 1 = (x \ 1) \ L(x,x,x).
(x \ 1) \ L(x,x,x) = ((1 / x) * (1 / x)) \ 1.
(x \ 1) \ L(x,x,x) = ((x \ 1) / x) \ 1.
(a(x,y,z) \ 1) \ a(x,y,z) = ((a(x,y,z) \ 1) / a(x,y,z)) \ 1.
((a(x,y,z) \ 1) / a(x,y,z)) \ 1 = (a(x,y,z) \ 1) \ a(x,y,z).
R(a(x,y,z),a(x,y,z),a(x,y,z)) * a(x,y,z) = 1 / (a(x,y,z) \ (a(x,y,z) \ 1)).
R((x * x) \ 1,y,z) \ ((x * x) \ 1) = R(x \ (1 / x),y,z) \ (x \ (1 / x)).
R(x \ (1 / x),y,z) \ (x \ (1 / x)) = (x * x) \ R(x * x,y,z).
(x * x) \ R(x * x,y,z) = x \ ((1 / x) * R((1 / x) \ x,y,z)).
x \ ((1 / x) * R((1 / x) \ x,y,z)) = (x * x) \ R(x * x,y,z).
x \ ((x \ 1) * R((x \ 1) \ x,y,z)) = (x * x) \ R(x * x,y,z).
x \ (x \ R(x * x,y,z)) = (x * x) \ R(x * x,y,z).
(x * x) \ R(x * x,y,z) = x \ (x \ R(x * x,y,z)).
R(R(x,y,z) \ x,u,L(x,u,R(x,y,z) \ x)) = (x * ((R(x,y,z) \ x) * u)) / (x * u).
R(x \ L(x,y,z),u,L(x,u,x \ L(x,y,z))) = (x * ((x \ L(x,y,z)) * u)) / (x * u).
a(((x * y) \ ((z * y) * x)) * u,w,v5) = a(u * R(T(z,x * y),y,x),w,v5).
a(((x * y) \ (x * (z * y))) * x,u,w) = a(T(x,z * y) * R(T(z,x * y),y,x),u,w).
a(T(x,y * z) * R(T(y,x * z),z,x),u,w) = a(((x * z) \ (x * (y * z))) * x,u,w).
L(x,y \ L(y,z,u),L(y,z,u) \ y) = (L(y,z,u) \ y) * ((y \ L(y,z,u)) * x).
(L(x,y,z) \ x) * ((x \ L(x,y,z)) * u) = L(u,x \ L(x,y,z),L(x,y,z) \ x).
L(x,y \ L(y,z,u),L(y,z,u) \ y) = ((y \ L(y,z,u)) * x) * (L(y,z,u) \ y).
((x \ L(x,y,z)) * u) * (L(x,y,z) \ x) = L(u,x \ L(x,y,z),L(x,y,z) \ x).
(L(x,y,z) \ x) * ((x \ L(x,y,z)) / x) = L(1 / x,x \ L(x,y,z),L(x,y,z) \ x).
L(1 / x,x \ L(x,y,z),L(x,y,z) \ x) = (L(x,y,z) \ x) * ((x \ L(x,y,z)) / x).
(x * (y \ L(y,z,u))) * (L(y,z,u) \ y) = L(x,y \ L(y,z,u),L(y,z,u) \ y).
((L(x,y,z) \ x) \ 1) * ((L(x,y,z) \ x) * u) = L(u,L(x,y,z) \ x,x \ L(x,y,z)).
(x * ((L(y,z,u) \ y) \ 1)) * (L(y,z,u) \ y) = R(x,y \ L(y,z,u),L(y,z,u) \ y).
a(x * (y * L((y \ (x \ z)) * K(u,w),x,y)),v5,v6) = a(y * (x * ((y * x) \ z)),v5,v6).
R(R(x,y,z) \ x,u,L(x,u,R(x,y,z) \ x)) = L(R(x,y,z) \ x,u,x).
R(R(x,y,z) \ x,u,x) = L(R(x,y,z) \ x,u,x).
L(R(x,y,z) \ x,u,x) = R(R(x,y,z) \ x,u,x).
L(R(x,y,z) \ x,u,x) = R(x,y,z) \ x.
a(x,y,R(x,z,u) \ x) = 1.
(x * (y * (R(x,z,u) \ x))) / (y * (R(x,z,u) \ x)) = R(x,y,L(R(x,z,u) \ x,y,x)).
R(x,y,z) \ x = z \ (x * (R(x,y,z) \ z)).
x \ (y * (R(y,z,x) \ x)) = R(y,z,x) \ y.
a(x,y,x * L(x \ 1,z,u)) = 1.
x \ L(x,x,y) = R(y,x,x) \ y.
R(x,y,y) \ x = y \ L(y,y,x).
(R(x,y,y) \ x) * z = (y \ L(y,y,x)) * z.
x * (R(y,x,x) \ y) = L(x,x,y).
(R(x,y,y) \ x) * y = L(y,y,x).
R(R(x,y,y) \ x,z,u) * y = L(y,y,R(x,z,u)).
(R((x * y) \ ((y * z) * x),u,u) \ ((x * y) \ ((y * z) * x))) * u = L(u,u,L(z,y,x)).
L(x,x,L(y,z,u)) = R(R(y,x,x) \ y,z,u) * x.
R(R(x,y,y) \ x,z,u) * y = L(y,y,L(x,z,u)).
L(x,x,L(y,z,u)) = x * R(R(y,x,x) \ y,z,u).
x * R(R(y,x,x) \ y,z,u) = L(x,x,L(y,z,u)).
x * R(x \ L(x,x,y),z,u) = L(x,x,L(y,z,u)).
x \ L(x,x,L(y,z,u)) = R(x \ L(x,x,y),z,u).
R(x \ L(x,x,y),z,u) = x \ L(x,x,L(y,z,u)).
x * R(x \ L(x,x,y \ x),z,u) = L(x,x,L(x * (y \ 1),z,u)).
x * R(x \ L(x,x,x * y),z,u) = L(x,x,L((y \ 1) \ x,z,u)).
L(x,x,L(x * (y \ 1),z,u)) = L(x,x,L(y \ x,z,u)).
L(x,x,L((y \ 1) \ x,z,u)) = L(x,x,L(x * y,z,u)).
R(x \ L(x,y,z),u,L(x,u,x \ L(x,y,z))) = L(x \ L(x,y,z),u,x).
R(x \ L(x,y,z),u,x) = L(x \ L(x,y,z),u,x).
L(x \ L(x,y,z),u,x) = R(x \ L(x,y,z),u,x).
L(x \ L(x,y,z),u,x) = x \ L(x,y,z).
a(x,y,x \ L(x,z,u)) = 1.
L(x \ L(x,y,z),u,w) = L(L(x \ L(x,y,z),u,w),v5,x).
L(L(x \ L(x,y,z),u,w),v5,x) = L(x \ L(x,y,z),u,w).
(x * y) * L(x \ L(x,z,u),w,v5) = x * (y * L(x \ L(x,z,u),w,v5)).
x \ (((x \ L(x,y,z)) * x) * u) = u * R(T(x \ L(x,y,z),x * u),x,u).
x * R(T(y \ L(y,z,u),y * x),y,x) = y \ (((y \ L(y,z,u)) * y) * x).
(L(x,y,z) \ x) \ L(L(x,y,z) \ x,u,w) = x \ (L(x,y,z) * L(L(x,y,z) \ x,u,w)).
1 = a(x,y,x \ R(x,z,u)).
a(x,y,x \ R(x,z,u)) = 1.
L(x \ R(x,y,z),u,x) = x \ R(x,y,z).
L(R(x \ R(x,y,z),u,w),v5,x) = R(x \ R(x,y,z),u,w).
L(x \ R(x,y,z),u,w) = L(L(x \ R(x,y,z),u,w),v5,x).
L(L(x \ R(x,y,z),u,w),v5,x) = L(x \ R(x,y,z),u,w).
a(x,y,z) = L(L(x \ R(x,y,z),x,y * z),u,x).
L(L(x \ R(x,y,z),x,y * z),u,x) = a(x,y,z).
L(a(x,y,z),u,x) = a(x,y,z).
L(a(x,y,z),u,w) = L(L(a(x,y,z),u,w),v5,x).
L(L(a(x,y,z),u,w),v5,x) = L(a(x,y,z),u,w).
(x * y) * a(x,z,u) = x * (y * a(x,z,u)).
x * a(y,z,u) = y * ((y \ x) * a(y,z,u)).
x * ((x \ y) * a(x,z,u)) = y * a(x,z,u).
(x * y) / a(x,z,u) = x * (y / a(x,z,u)).
(x * y) * a(y,z,u) = y * (T(x,y) * a(y,z,u)).
x * (T(y,x) * a(x,z,u)) = (y * x) * a(x,z,u).
x * (T(y,x) * a(y,z,u)) = y * (x * L(a(y,z,u),y,x)).
x * (y * L(a(x,z,u),x,y)) = y * (T(x,y) * a(x,z,u)).
a(x,y,z) * (x * u) = x * (u * a(x,y,z)).
a(x,y,z) = R(a(x,y,z),u,x).
R(a(x,y,z),u,x) = a(x,y,z).
a(x,y,z) * (u * x) = (a(x,y,z) * u) * x.
(a(x,y,z) * u) * x = a(x,y,z) * (u * x).
a(x,y,z) \ R(u,w,x) = R(a(x,y,z) \ u,w,x).
R(a(x,y,z) \ u,w,x) = a(x,y,z) \ R(u,w,x).
a(x,y,z) = (x * (a(x,y,z) \ u)) \ (x * u).
(x * (a(x,y,z) \ u)) \ (x * u) = a(x,y,z).
(x * (y * a(x,z,u))) / (T(x,y) * a(x,z,u)) = R(y,x,L(a(x,z,u),y,x)).
a(x,y,z) \ x = (a(x,y,z) \ 1) * x.
(a(x,y,z) \ 1) * x = a(x,y,z) \ x.
a(x,y,z) \ (u * x) = (a(x,y,z) \ u) * x.
R(a(x,y,z) \ 1,u,x) = a(x,y,z) \ 1.
a(x,y,z) * (u * x) = (u * a(x,y,z)) * x.
(x * a(y,z,u)) * y = a(y,z,u) * (x * y).
a(x,y,z) \ u = (a(x,y,z) \ (u / x)) * x.
(a(x,y,z) \ (u / x)) * x = a(x,y,z) \ u.
x * y != a(z,u,w) \ y | x = y \ (a(z,u,w) \ y).
a(x,y,z) \ 1 = x \ (a(x,y,z) \ x).
x \ (a(x,y,z) \ x) = a(x,y,z) \ 1.
a(x,y,z) \ x = x * (a(x,y,z) \ 1).
x * (a(x,y,z) \ 1) = a(x,y,z) \ x.
a(x,y,z) \ R(a(x,y,z) * (a(x,y,z) \ x),u,w) = R(x,u,w) * (a(x,y,z) \ 1).
(x * y) * a((x * y) \ 1,x,y) = a(x * y,x,y) \ (x * y).
(a(x,y,z) \ 1) * (x * u) = ((a(x,y,z) \ 1) * u) * T(x,u).
((a(x,y,z) \ 1) * u) * T(x,u) = (a(x,y,z) \ 1) * (x * u).
R(x,y,a(x,z,u)) = x.
x * ((y * z) * a(x,y,z)) = (x * y) * z.
R(x,y,z) = R(R(x,y,z),u,a(x,w,v5)).
R(R(x,y,z),u,a(x,w,v5)) = R(x,y,z).
x * R(y,z,a(x,u,w)) = R(x * y,z,a(x,u,w)).
R(x * y,z,a(x,u,w)) = x * R(y,z,a(x,u,w)).
R(x,y,a(z,u,w)) * z = R(x * z,y,a(z,u,w)).
R(x * y,z,a(y,u,w)) = R(x,z,a(y,u,w)) * y.
x \ (y * a(x,z,u)) = (x \ y) * a(x,z,u).
R(x \ 1,y,a(x,z,u)) = x \ 1.
R(x,y,z) * (u * a(x,w,v5)) = (R(x,y,z) * u) * a(x,w,v5).
(R(x,y,z) * u) * a(x,w,v5) = R(x,y,z) * (u * a(x,w,v5)).
x \ ((x * y) * z) = (y * z) * a(x,y,z).
L(x,y,z) \ (u * a(x,w,v5)) = (L(x,y,z) \ u) * a(x,w,v5).
L(x,y,a(x,z,u)) = x.
x \ y = a(x,z,u) * (x \ (a(x,z,u) \ y)).
a(x,y,z) * (x \ (a(x,y,z) \ u)) = x \ u.
L(R(x,y,z),u,a(x,w,v5)) = R(x,y,z).
L(x,y,z) = L(L(x,y,z),u,a(x,w,v5)).
L(L(x,y,z),u,a(x,w,v5)) = L(x,y,z).
a(x,y,z) \ L(x,u,w) = (a(x,y,z) \ 1) * L(x,u,w).
(a(x,y,z) \ 1) * L(x,u,w) = a(x,y,z) \ L(x,u,w).
L(1 / x,y,a(x,z,u)) = 1 / x.
L(x \ 1,y,a(x,z,u)) = x \ 1.
x * L(y,z,a(x,u,w)) = L(x * y,z,a(x,u,w)).
L(x * y,z,a(x,u,w)) = x * L(y,z,a(x,u,w)).
x \ L(y,z,a(x,u,w)) = L(x \ y,z,a(x,u,w)).
L(x \ y,z,a(x,u,w)) = x \ L(y,z,a(x,u,w)).
L(x,y,a(z,u,w)) \ z = L(x \ z,y,a(z,u,w)).
L(x \ y,z,a(y,u,w)) = L(x,z,a(y,u,w)) \ y.
R(x \ 1,y,z) = R(R(x \ 1,y,z),u,a(x,w,v5)).
R(R(x \ 1,y,z),u,a(x,w,v5)) = R(x \ 1,y,z).
R((1 / x) \ 1,y,a(1 / x,z,u)) = x.
(x \ 1) * (y * a(x,z,u)) = ((x \ 1) * y) * a(x,z,u).
((x \ 1) * y) * a(x,z,u) = (x \ 1) * (y * a(x,z,u)).
(1 / x) \ L(y,z,a(x,u,w)) = L((1 / x) \ y,z,a(x,u,w)).
L((1 / x) \ y,z,a(x,u,w)) = (1 / x) \ L(y,z,a(x,u,w)).
L(R(x \ 1,y,z),u,a(x,w,v5)) = R(x \ 1,y,z).
L(x \ 1,x,y) = (a(x,z,u) * (y * x)) \ (a(x,z,u) * y).
(a(x,y,z) * (u * x)) \ (a(x,y,z) * u) = L(x \ 1,x,u).
R(x,y,z) \ a(x,u,w) = (R(x,y,z) \ 1) * a(x,u,w).
(R(x,y,z) \ 1) * a(x,u,w) = R(x,y,z) \ a(x,u,w).
R((x / (y * x)) \ 1,z,a(y,u,w)) = R(y,y,x).
R(R(1 / x,y,z) \ 1,u,a(x,w,v5)) = R(x,y,z).
R(x,y,z) \ u = a(x,w,v5) * (R(x,y,z) \ (a(x,w,v5) \ u)).
a(x,y,z) * (R(x,u,w) \ (a(x,y,z) \ v5)) = R(x,u,w) \ v5.
(a(x,y,z) * u) * R(x,w,v5) = a(x,y,z) * (u * R(x,w,v5)).
a(a(x,y,z),u,L(x,w,v5)) = 1.
L(x,y,a(z,u,w)) \ L(z,v5,v6) = L(x \ L(z,v5,v6),y,a(z,u,w)).
L(x \ L(y,z,u),w,a(y,v5,v6)) = L(x,w,a(y,v5,v6)) \ L(y,z,u).
R(x,y,a(1 / x,z,u)) = x.
R(x,y,a(x \ 1,z,u)) = x.
x * (y * a(x \ 1,z,u)) = (x * y) * a(x \ 1,z,u).
(x * y) * a(x \ 1,z,u) = x * (y * a(x \ 1,z,u)).
R(1 / x,x,y) = R(y / (x * y),z,a((1 / x) \ 1,u,w)).
R(x / (y * x),z,a((1 / y) \ 1,u,w)) = R(1 / y,y,x).
L(x,y,a(x \ 1,z,u)) = x.
x * y != (x * z) * L(u,z,x) | y = z * u.
(x * L(y,x,z)) * a(z,x,L(y,x,z)) = x * y.
x * (y * a(x,z,z \ y)) = (x * z) * (z \ y).
x * ((y * z) * a(x,z,T(y,z))) = (x * z) * T(y,z).
x * (a(x,y,z) * (y * z)) = (x * y) * z.
(x * y) \ (z \ ((z * x) * y)) = a(z,x,y).
a(x,y,z) = (y * z) \ (x \ ((x * y) * z)).
x \ (y * z) = ((x \ y) * z) * a(x,x \ y,z).
((x \ y) * z) * a(x,x \ y,z) = x \ (y * z).
x \ ((x * y) * (y \ z)) = z * a(x,y,y \ z).
(x * y) * a(x \ z,x,y) = (z / x) \ (z * y).
(x / y) \ (x * z) = (y * z) * a(y \ x,y,z).
a(x,y,z) * (y * z) = x \ ((x * y) * z).
x \ ((x * y) * z) = a(x,y,z) * (y * z).
a(x,y,L(z,y,x)) * (y * L(z,y,x)) = y * z.
a(x,y,y \ z) = z \ (x \ ((x * y) * (y \ z))).
x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ x).
a(x,x \ y,z) = ((x \ y) * z) \ (x \ (y * z)).
((x \ y) * z) \ (x \ (y * z)) = a(x,x \ y,z).
a(x,y,(x * y) \ z) = (y * ((x * y) \ z)) \ (x \ z).
(x * ((y * x) \ z)) \ (y \ z) = a(y,x,(y * x) \ z).
x \ (y * z) = a(x,x \ y,z) * ((x \ y) * z).
a(x,x \ y,z) * ((x \ y) * z) = x \ (y * z).
a(x,x,y) * (x * y) = R(x,x,y) * y.
x \ (y \ ((y * x) * z)) = a(x,z,a(y,x,z)) * (z * a(y,x,z)).
a(x,y,a(z,x,y)) * (y * a(z,x,y)) = x \ (z \ ((z * x) * y)).
(R(x,x,y) * y) / (x * y) = a(x,x,y).
x * (y * z) != R(y,y,z) * z | x = y \ R(y,y,z).
a(x,x,y) = x \ R(x,x,y).
x \ R(x,x,y) = a(x,x,y).
x * a(x,x,y) = R(x,x,y).
x \ ((y / (x * y)) \ 1) = a(x,x,y).
x \ (((x \ y) / y) \ 1) = a(x,x,x \ y).
a(x,x,x \ y) = x \ (((x \ y) / y) \ 1).
(((x / (y * x)) \ 1) \ 1) \ (y \ 1) = a(y,y,x).
x * (L(x,y,z) \ a(x,x,u)) = L(x,y,z) \ R(x,x,u).
a(x,x,y) * x = R(x,x,y).
a(x,x,y) / R(x,x,y) = 1 / x.
(1 / x) \ a(x,x,y) = R(x,x,y).
(x / (y * x)) \ (1 / y) = a(y,y,x).
a(x,x,y) \ (1 / x) = R(1 / x,x,y).
(1 / (1 / x)) \ (1 / (y / (x * y))) = a(x,x,y).
(R(x,x,y) \ x) \ 1 = a(x,x,y).
(x \ a(x,x,y)) * x = (x \ 1) * R(x,x,y).
a(x,x,y) \ 1 = R(x,x,y) \ x.
R(x,x,y) \ x = a(x,x,y) \ 1.
x \ L(x,x,a(y,z,u)) = a(x,x,a(y,z,u)).
a(x,x,y) \ x = (R(x,x,y) \ x) * x.
(R(x,x,y) \ x) * x = a(x,x,y) \ x.
((x \ y) / y) \ ((R(x,(x \ y) / y,y) \ y) / y) = a((x \ y) / y,(x \ y) / y,y).
x \ R(x,x,y) = a(x,x,L(y,z,x)).
a(x,x,L(y,z,x)) = x \ R(x,x,y).
x * a(y,y,y \ x) = y * ((1 / y) * x).
L(x,y,z \ L(z,z,u)) = L(x,y,a(z,z,u)).
L(x,y,a(z,z,x)) = x.
a(x,x,y) * (y * z) = y * ((x \ R(x,x,y)) * z).
x * ((y \ R(y,y,x)) * z) = a(y,y,x) * (x * z).
L(x,y,z) = L(L(x,y,z),u,a(w,w,x)).
L(L(x,y,z),u,a(w,w,x)) = L(x,y,z).
(a(x,x,y) * z) * L(y,u,w) = a(x,x,y) * (z * L(y,u,w)).
x * L(y,z,a(u,u,x)) = L(x * y,z,a(u,u,x)).
L(x * y,z,a(u,u,x)) = x * L(y,z,a(u,u,x)).
L(x,y,a(z,z,u)) * u = L(x * u,y,a(z,z,u)).
L(x * y,z,a(u,u,y)) = L(x,z,a(u,u,y)) * y.
(x * y) * L(a(y,y,z),y,x) = x * R(y,y,z).
(x * y) \ (R(x,x,z) * y) = R(a(x,x,z),x,y).
L(x,x,a(y,z,u)) = a(x,x,a(y,z,u)) * x.
a(x,x,a(y,z,u)) * x = L(x,x,a(y,z,u)).
a(x,x,y) \ ((1 / x) * (R(x,x,y) * z)) = L(z,(1 / x) \ a(x,x,y),1 / x).
(R(x,x,y) \ x) * (a(x,x,y) \ 1) = a(x,x,y) \ (a(x,x,y) \ 1).
x * (R(x,x,y) \ x) = a(x,x,y) \ x.
a(x,x,L(y,z,x)) = a(x,x,y).
a(x,x,L(L(y,z,x),u,w)) = a(x,x,L(y,u,w)).
a(x,x,y \ (x * z)) = a(x,x,(x \ y) \ z).
a(x,x,(x \ y) \ z) = a(x,x,y \ (x * z)).
a(x,x,y \ (x * R(x \ y,z,z \ 1))) = a(x,x,a(x \ y,z,z \ 1)).
a(x,x,L(y,x,L(x,z,u))) = a(x,x,y).
a(x,x,L(L(y,z,x),u,L(y,z,x) \ 1)) = a(x,x,y).
a(x,x,y \ x) = a(x,x,x * (y \ 1)).
a(x,x,x * (y \ 1)) = a(x,x,y \ x).
R(a(x,y,z) * u,a(x,y,z),u) / (a(x,y,z) * u) = a(a(x,y,z),a(x,y,z),u).
R(x * a(y,z,u),x,a(y,z,u)) / (x * a(y,z,u)) = a(x,x,a(y,z,u)).
L(x,y,z) * (a(u,u,x) * w) = (L(x,y,z) * w) * a(u,u,x).
(L(x,y,z) * u) * a(w,w,x) = L(x,y,z) * (a(w,w,x) * u).
x * (a(x,y,z) * (x \ u)) = u * a(x,y,z).
x * (y / a(x,z,u)) = a(x,z,u) \ (x * y).
a(x,y,z) \ (x * u) = x * (u / a(x,y,z)).
((x * a(x,y,z)) * u) / (x * (u * a(x,y,z))) = a(a(x,y,z),x,u).
x * y != a(z,u,w) * ((y \ v5) * y) | x = y \ (a(z,u,w) * v5).
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) * (u * x) != w * x | a(x,y,z) * u = w.
L(x \ 1,x,y * a(x,z,u)) = (a(x,z,u) * (y * x)) \ (a(x,z,u) * y).
(a(x,y,z) * (u * x)) \ (a(x,y,z) * u) = L(x \ 1,x,u * a(x,y,z)).
(x * y) / (x * (a(x,z,u) \ y)) = a(x,z,u).
x * T(a(x,y,z) \ u,x) = a(x,y,z) \ (u * x).
(x \ y) * a(x,z,u) = x \ (a(x,z,u) * y).
x \ (a(x,y,z) * u) = (x \ u) * a(x,y,z).
(x * a(y,z,u)) * y != a(y,z,u) * w | x * y = w.
a(x,y,z) * u != (w * a(x,y,z)) * x | w * x = u.
a(x,y,z) * (u * x) != w * x | u * a(x,y,z) = w.
(x * a(y,z,u)) * y = (x * y) * a(y,z,u).
a(x,y,z) \ u = x * (a(x,y,z) \ (x \ u)).
x * (a(x,y,z) \ (x \ u)) = a(x,y,z) \ u.
x \ y = (x \ (a(x,z,u) \ y)) * a(x,z,u).
(x \ (a(x,y,z) \ u)) * a(x,y,z) = x \ u.
a(x,y,z) \ (x \ u) = x \ (a(x,y,z) \ u).
T(x \ a(x,x,y),x) = x \ ((x \ 1) * R(x,x,y)).
x \ ((x \ 1) * R(x,x,y)) = T(x \ a(x,x,y),x).
L(x,y,R(z,u,u) \ z) = L(x,y,a(u,u,z)).
a(x,x,(x \ y) \ 1) = a(x,x,y \ x).
a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u).
((x * y) * a(z,x,y)) * z = (x * y) * R(z,x,y).
a(x,y,z) \ u != x * w | a(x,y,z) \ (x \ u) = w.
x * (a(x,y,z) \ K(x,u)) = a(x,y,z) \ T(x,u).
L(x,x,y) \ x = a(y,x,L(x,x,y)).
a(x,y,L(y,y,x)) = L(y,y,x) \ y.
a(x,y,L(z,y,x)) \ (y * z) = y * L(z,y,x).
(x * L(y,x,z)) \ (x * y) = a(z,x,L(y,x,z)).
a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z).
K(x * y,z) = K(x * L(y,x,u),z).
K(x * L(y,x,z),u) = K(x * y,u).
K(x * R(y,z,u),w) = K(x * L(y,x,v5),w).
K(a(x,y,z) \ (u * w),v5) = K(u * L(w,u,v6),v5).
x * L(y * K(x * y,z),x,u) = T(x * L(y,x,u),z).
(1 / x) * (y * a(1 / x,R(x * K(z,u),w,v5),R(x * K(z,u),w,v5) \ y)) = (R(x,w,v5) * (x \ K(z,u))) * (R(x * K(z,u),w,v5) \ y).
x * (x * ((1 / x) * y)) = (x * x) * (x \ y).
x \ ((x * x) * (x \ y)) = x * ((1 / x) * y).
L((1 / x) * y,x,x) = x \ y.
x * (x * ((x \ 1) * (x * y))) = (x * x) * (x \ ((1 / (1 / x)) * y)).
(x * x) * (x \ ((1 / (1 / x)) * y)) = x * (x * ((x \ 1) * (x * y))).
L(x,y,(z * z) * (z \ u)) = L(x,y,z * (((1 / z) * u) * z)).
L(x,y,z * (((1 / z) * u) * z)) = L(x,y,(z * z) * (z \ u)).
x * (x * ((1 / x) * T(y * x,x))) = (x * x) * T(y * K(y * x,x),x).
(x * x) * T(y * K(y * x,x),x) = x * (x * ((1 / x) * T(y * x,x))).
a((x * x) * (x \ y),z,u) = a(x * (((1 / x) * y) * x),z,u).
a(x * (((1 / x) * y) * x),z,u) = a((x * x) * (x \ y),z,u).
L(x,(y * y) * (y \ z),u) = L(x,y * (((1 / y) * z) * y),u).
L(x,y * (((1 / y) * z) * y),u) = L(x,(y * y) * (y \ z),u).
a(x,(y * y) * (y \ z),u) = a(x,(y * ((1 / y) * z)) * y,u).
a(x,(y * ((1 / y) * z)) * y,u) = a(x,(y * y) * (y \ z),u).
R(x,y,(z * z) * (z \ u)) = R(x,y,z * (((1 / z) * u) * z)).
R(x,y,z * (((1 / z) * u) * z)) = R(x,y,(z * z) * (z \ u)).
a(x,y,z * (((1 / z) * u) * z)) = a(x,y,(z * z) * (z \ u)).
L(x,y,y) = y \ ((1 / y) \ x).
x \ ((1 / x) \ y) = L(y,x,x).
L(x \ y,z,u) = L(L((1 / x) * y,z,u),x,x).
L(L((1 / x) * y,z,u),x,x) = L(x \ y,z,u).
L(x * y,x \ 1,x \ 1) = (x \ 1) \ y.
L(x * (1 / y),y,y) = y \ T(x,y \ 1).
L(T(1 / x,y) * z,x,x) = x \ (K(1 / x,y) * z).
L((x \ 1) * (K(x,x \ 1) * y),x,x) = x \ y.
L(K(x,x \ 1) * y,x,x) = x \ ((x \ 1) \ y).
L((1 / x) * y,z,x \ y) = L((1 / x) * y,z,(1 / x) * y).
L((1 / x) * y,z,(1 / x) * y) = L((1 / x) * y,z,x \ y).
x * L(y,x,x) = (1 / x) \ y.
(x \ 1) \ (x \ y) = L(y,x \ 1,x \ 1).
L(x,y \ 1,y \ 1) = (y \ 1) \ (y \ x).
L(x,y,L(z,u,u) * u) = L(x,y,(1 / u) \ z).
R(x \ 1,y,z) \ ((R(1 / x,y,z) \ 1) \ u) = L(u,R(x \ 1,y,z),R(x \ 1,y,z)).
a(L(x,y,y) * y,z,u) = a((1 / y) \ x,z,u).
a(x,y,z) \ ((a(x,y,z) \ 1) \ u) = L(u,a(x,y,z),a(x,y,z)).
L(x,y,y) / ((y \ ((1 / y) \ x)) * y) = (((1 / y) \ x) / y) / ((1 / y) \ x).
a((L(x,y,y) * y) \ z,u,w) = a(((1 / y) \ x) \ z,u,w).
x \ (((y * x) \ y) * x) = L((y * x) \ y,x,x).
L(x,y,L(z,u,u)) = L(x,y,u \ ((u \ 1) \ z)).
L(x,y,z \ ((z \ 1) \ u)) = L(x,y,L(u,z,z)).
a(L(x,y,y),z,u) = a(y \ ((y \ 1) \ x),z,u).
a(x \ ((x \ 1) \ y),z,u) = a(L(y,x,x),z,u).
(x \ 1) \ (x \ a(y,z,u)) = L(a(y,z,u),x,x).
a(L(x,y,y) \ z,u,w) = a((y \ ((y \ 1) \ x)) \ z,u,w).
a((x \ ((x \ 1) \ y)) \ z,u,w) = a(L(y,x,x) \ z,u,w).
L(x * (y \ 1),y,y) = ((1 / y) \ (y \ x)) * (y \ 1).
((1 / x) \ (x \ y)) * (x \ 1) = L(y * (x \ 1),x,x).
L(x,L(y,z,z) * z,u) = L(x,(1 / z) \ y,u).
a(x,L(y,z,z) * z,u) = a(x,(1 / z) \ y,u).
a(x,L(y,z,z),u) = a(x,z \ ((z \ 1) \ y),u).
a(x,y \ ((y \ 1) \ z),u) = a(x,L(z,y,y),u).
L(x,y \ L(z,u,u),w) = L(x,y \ (u \ ((u \ 1) \ z)),w).
L(x,y \ (z \ ((z \ 1) \ u)),w) = L(x,y \ L(u,z,z),w).
R(x,L(y * z,z,z),u) = R(x,(z \ 1) \ y,u).
R(x,y,L(z,u,u)) = R(x,y,u \ ((u \ 1) \ z)).
R(x,y,z \ ((z \ 1) \ u)) = R(x,y,L(u,z,z)).
a(x,y,L(z,u,u) * u) = a(x,y,(1 / u) \ z).
a(x,y,L(z,u,u)) = a(x,y,u \ ((u \ 1) \ z)).
a(x,y,z \ ((z \ 1) \ u)) = a(x,y,L(u,z,z)).
a(x,y,z \ L(u,w,w)) = a(x,y,z \ (w \ ((w \ 1) \ u))).
a(x,y,z \ (u \ ((u \ 1) \ w))) = a(x,y,z \ L(w,u,u)).
a(x,y,z * L(u,w,w)) = a(x,y,z * (w \ ((w \ 1) \ u))).
a(x,y,z * (u \ ((u \ 1) \ w))) = a(x,y,z * L(w,u,u)).
a(x,y,L(z,u,u) \ w) = a(x,y,(u \ ((u \ 1) \ z)) \ w).
a(x,y,(z \ ((z \ 1) \ u)) \ w) = a(x,y,L(u,z,z) \ w).
L(x,y,z * L(u * w,w,w)) = L(x,y,z * ((w \ 1) \ u)).
a(x \ L(y * z,z,z),u,w) = a(x \ ((z \ 1) \ y),u,w).
a(((K(x,x \ 1) / x) \ (y / x)) * z,u,w) = a(L(y,x,x) * z,u,w).
a(x,y \ ((K(z,z \ 1) / z) \ (u / z)),w) = a(x,y \ L(u,z,z),w).
R(x,y,L(z * u,u,u) \ w) = R(x,y,((u \ 1) \ z) \ w).
a(x,y,((K(z,z \ 1) / z) \ (u / z)) * w) = a(x,y,L(u,z,z) * w).
a(x,y,z \ L(u * w,w,w)) = a(x,y,z \ ((w \ 1) \ u)).
x * (L(y,x,x) * a(x,z,u)) = ((1 / x) \ y) * a(x,z,u).
x * y != (1 / x) \ L(L(z,x,x \ 1),u,w) | y = L(z,u,w).
L(L(L(x,y,y \ 1),z,u),y,y) = L(x,z,u).
x * y != (1 / x) \ L(z,x,x \ 1) | y = z.
L(L(x,y,y \ 1),y,y) = x.
L(L(x,y,y) \ z,L(x,y,y),y) = ((1 / y) \ x) \ (y * z).
(1 / x) \ T(y,x) = L(y,x,x) * x.
L((x * y) / x,x,x) = ((1 / x) \ y) / x.
L(a(x,y,z),u,u) * u = (1 / u) \ a(x,y,z).
((1 / x) \ y) / y = L(y,x,x) * (y \ x).
L(x,y,y) * (x \ y) = ((1 / y) \ x) / x.
R(x,y,z) * L(u,R(x,y,z),L(x,y,z)) = (1 / R(x,y,z)) \ u.
((x \ y) * (y \ x)) * y = (1 / ((x \ y) * (y \ x))) \ y.
(1 / ((x \ y) * (y \ x))) \ y = ((x \ y) * (y \ x)) * y.
L(x,y * L(z,y,y),u) = L(x,(y \ 1) \ z,u).
a(x,y * L(z,y,y),u) = a(x,(y \ 1) \ z,u).
L(x,y,y) / ((1 / y) \ x) = R(1 / y,y,x).
R(1 / x,x,y) * ((1 / x) \ y) = L(y,x,x).
((1 / x) \ y) \ L(y,x,x) = (x * y) \ y.
L(x,y,L(z * u,u,u)) = L(x,y,(1 / u) \ z).
(R(x,x,y) \ x) * (x * y) = (1 / (R(x,x,y) \ x)) \ (x * y).
(1 / (R(x,x,y) \ x)) \ (x * y) = (R(x,x,y) \ x) * (x * y).
a(x,y,z) * (1 / x) = (1 / a(x,y,z)) \ (1 / x).
(1 / a(x,y,z)) \ (1 / x) = a(x,y,z) * (1 / x).
a(x \ 1,y,z) * x = (1 / a(x \ 1,y,z)) \ x.
(1 / a(x \ 1,y,z)) \ x = a(x \ 1,y,z) * x.
x = L(L(x,y,y),y,y \ 1).
L(L(x,y,y),y,y \ 1) = x.
(x * x) * y = x * (x * L(y,x,x \ 1)).
x * (x * L(y,x,x \ 1)) = (x * x) * y.
x \ (x \ y) = L((x * x) \ y,x,x \ 1).
L((x * x) \ y,x,x \ 1) = x \ (x \ y).
L(x,y,z) = L(L(L(x,u,u),y,z),u,u \ 1).
L(L(L(x,y,y),z,u),y,y \ 1) = L(x,z,u).
L((x * (x \ 1)) \ ((x \ 1) * y),x,x) = T(x,x \ 1) \ y.
L(x,y,z) = L(x,L(R(y,u,u \ 1),u,u),z).
L(x,L(R(y,z,z \ 1),z,z),u) = L(x,y,u).
L(x \ 1,x,y) = L(x \ 1,x,L(y,x,x)).
L(x \ 1,x,L(y,x,x)) = L(x \ 1,x,y).
(1 / L(x,y,x)) \ z = L(x,y,x) * L(z,x,x).
L(x,y,x) * L(z,x,x) = (1 / L(x,y,x)) \ z.
(1 / x) \ (y \ R(y,z,u)) = L(y \ R(y,z,u),x,x) * x.
L(x \ R(x,y,z),u,u) * u = (1 / u) \ (x \ R(x,y,z)).
x / (L(x,y,y) * y) = K(y,x) * (1 / y).
T(L(x,y,y) / ((1 / y) \ T(x,y)),y \ 1) = L(x,y,y) / (L(x,y,y) * y).
L(x * y,y \ 1,y \ 1) = (y \ 1) \ T(x,y).
L(x * (1 / R(y,z,u)),R(y,z,u),R(y,z,u)) = R(y,z,u) \ T(x,y \ 1).
L(R(x,y,z),u \ 1,u \ 1) = R((u \ 1) \ (u \ x),y,z).
L((x \ 1) \ (x \ y),z,u) = L(L(y,z,u),x \ 1,x \ 1).
L(L(x,y,z),u \ 1,u \ 1) = L((u \ 1) \ (u \ x),y,z).
L(x,a(y,y,z) \ 1,a(y,y,z) \ 1) = (R(y,y,z) \ y) \ (a(y,y,z) \ x).
L(((x \ 1) * y) / (x \ 1),1 / x,1 / x) = ((1 / (1 / x)) \ y) / (1 / x).
L(a(x,y,z),u,u) = ((1 / u) \ a(x,y,z)) / u.
((1 / x) \ a(y,z,u)) / x = L(a(y,z,u),x,x).
L(x,x * y,x * y) * y = ((1 / (x * y)) \ x) / x.
x * (((1 / y) \ x) / x) = L(x,y,y) * y.
L(x,y,y) * y = x * (((1 / y) \ x) / x).
T(x,1 / y) \ L(x * (1 / y),y,y) = (y * (x * (1 / y))) \ (x * (1 / y)).
x \ ((x * x) * y) = x * L(y,x,x \ 1).
x * L(y,x,x \ 1) = x \ ((x * x) * y).
a((L(x,y,y \ 1) * y) * y,z,u) = a((y * y) * x,z,u).
L(x \ (x \ y),x * x,z) = L((z * (x * x)) \ (z * y),x,x \ 1).
L((x * (y * y)) \ (x * z),y,y \ 1) = L(y \ (y \ z),y * y,x).
L(L(x,y,z) \ 1,L(x,y,z),L(z,x,x)) = L(L(x,y,z) \ 1,L(x,y,z),z).
x / (L(x,y,y) * y) = K(y,x) / y.
(x / (L(y,z,z) * z)) * (((1 / z) \ y) / y) = (x / ((1 / z) \ y)) * T(((1 / z) \ y) / y,y).
(x / ((1 / y) \ z)) * T(((1 / y) \ z) / z,z) = (x / (L(z,y,y) * y)) * (((1 / y) \ z) / z).
x * L(y,x,x \ 1) = R(x,x,y) * y.
R(x,x,y) * y = x * L(y,x,x \ 1).
K(x,y) * (x \ ((x * x) * z)) = T(x,y) * L(z,x,x \ 1).
a(x,y \ ((y * y) * z),u) = a(x,L(z,y,y \ 1) * y,u).
a(x,L(y,z,z \ 1) * z,u) = a(x,z \ ((z * z) * y),u).
R(x,y,z * L(u,z,z \ 1)) = R(x,y,z \ (u * (z * z))).
x * L(a(y,x,x),x,x \ 1) = x \ (y \ ((y * x) * x)).
x \ (y \ ((y * x) * x)) = x * L(a(y,x,x),x,x \ 1).
R(x,x,y) * (x \ y) = L(y,x,x \ 1).
x * (L(x,y,y \ 1) \ R(y,y,x)) = y.
R(x,x,x \ y) * (x \ y) = x * ((1 / x) * y).
(1 / x) * (R(x,x,y) * y) = L(L(y,x,x \ 1),x,x \ 1).
L(L(x,y,y \ 1),y,y \ 1) = (1 / y) * (R(y,y,x) * x).
L((x \ y) \ 1,x \ y,R(x,x,y)) = L(y,x,x \ 1) \ R(x,x,y).
x \ y = L(x,y,y \ 1) \ R(y,y,x).
L(x,y,y \ 1) \ R(y,y,x) = x \ y.
L(x,y,y \ 1) * (x \ y) = R(y,y,x).
L(x,T(y,x),T(y,x) \ 1) * (T(x,y) \ y) = R(T(y,x),T(y,x),x).
L(x,y * ((1 / y) * z),u) = L(x,y \ ((y \ z) * (y * y)),u).
L(x,y \ ((y \ z) * (y * y)),u) = L(x,y * ((1 / y) * z),u).
L(x,x,L(x * ((1 / x) * y),z,x)) = R(((x * x) * (x \ y)) / x,x,x) \ ((x * x) * (x \ y)).
a(x,y * ((1 / y) * z),u) = a(x,y \ ((y \ z) * (y * y)),u).
a(x,y \ ((y \ z) * (y * y)),u) = a(x,y * ((1 / y) * z),u).
R(x,y,z * ((1 / z) * u)) = R(x,y,z \ ((z \ u) * (z * z))).
R(x,y,z \ ((z \ u) * (z * z))) = R(x,y,z * ((1 / z) * u)).
R(1 / x,x,y) = (y / (1 / x)) \ L(y,x,x).
(x / (1 / y)) \ L(x,y,y) = R(1 / y,y,x).
(1 / x) * L(y,x,x) = R(1 / x,x,y) * y.
R(1 / x,x,y) * y = (1 / x) * L(y,x,x).
L(x,L(y * z,z,z),u) = L(x,y / (1 / z),u).
L(x,y,R(1 / z,z,u) * u) = L(x,y,L(u,z,z) * (1 / z)).
((x \ 1) * y) * a(x,x \ 1,y) = x \ y.
((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y).
(x * (y \ 1)) \ (y \ x) = K(y \ 1,x) * a(y,y \ 1,x).
K(x \ 1,y) * a(x,x \ 1,y) = (y * (x \ 1)) \ (x \ y).
(x * K(y \ 1,x * y)) * a(y,y \ 1,x / (y \ 1)) = y \ (x / (y \ 1)).
a(x,x \ 1,y) * ((x \ 1) * y) = x \ y.
(x \ y) / ((x \ 1) * y) = a(x,x \ 1,y).
R(a(x,x \ 1,y),z,u) \ (((x \ 1) * y) \ (x \ y)) = ((x \ 1) * y) \ ((x \ y) * R((x \ y) \ ((x \ 1) * y),z,u)).
((x \ 1) * y) \ ((x \ y) * R((x \ y) \ ((x \ 1) * y),z,u)) = R(a(x,x \ 1,y),z,u) \ (((x \ 1) * y) \ (x \ y)).
x / a(x \ y,(x \ y) \ 1,y) = K(x \ y,x) * (((x \ y) \ 1) * y).
K(x \ y,x) * (((x \ y) \ 1) * y) = x / a(x \ y,(x \ y) \ 1,y).
a(x,x \ 1,(x \ 1) \ y) * y = x \ ((x \ 1) \ y).
(x \ y) / (y * (x \ 1)) = a(x,x \ 1,y) * K(x \ 1,y).
a(x,x \ 1,y) * K(x \ 1,y) = (x \ y) / (y * (x \ 1)).
(1 / x) \ y = (x * y) * a(x \ 1,x,y).
(x * y) * a(x \ 1,x,y) = (1 / x) \ y.
(x * y) \ ((1 / y) \ x) = K(y,x) * a(y \ 1,y,x).
K(x,y) * a(x \ 1,x,y) = (y * x) \ ((1 / x) \ y).
a(x \ 1,x,y) * (x * y) = (1 / x) \ y.
x * (K(y,y \ x) * a(y \ 1,y,x / y)) = (1 / y) \ (x / y).
x \ ((a(y,z,u) \ w) \ (w * (a(y,z,u) \ x))) = a(a(y,z,u) \ w,a(y,z,u),a(y,z,u) \ x).
a(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = w \ ((a(x,y,z) \ u) \ (u * (a(x,y,z) \ w))).
((x \ y) * (y \ z)) \ (x \ z) = a(x,x \ y,y \ z).
((x \ L(x,y,z)) * u) \ ((u / x) * L(x,y,z)) = a(x,x \ L(x,y,z),u).
a(x,x \ y,T(z,x \ y)) * (z * (x \ y)) = x \ (y * T(z,x \ y)).
(((R(x,y,z) / R(u * x,y,z)) \ 1) \ 1) \ (R(u,y,z) \ 1) = a(R(u,y,z),R(u,y,z),R(x,y,z)).
a(x * y,z,a(z,x,y)) \ (z * (z \ R(z,x,y))) = z * L(z \ R(z,x,y),z,x * y).
a(x,y,L(y \ z,y,x)) = (y * L(y \ z,y,x)) \ z.
L(L(x,y,z) \ x,L(x,y,z),y) = a(z,y,L(x,y,z)).
a(x,y,L(z,y,x)) * (L(z,y,x) * y) = z * y.
a(x \ y,z,u) = a(L(y * (x \ 1),x,x),z,u).
a(L(x * (y \ 1),y,y),z,u) = a(y \ x,z,u).
L(x,y,z \ u) = L(x,y,L(u * (z \ 1),z,z)).
L(x,y,L(z * (u \ 1),u,u)) = L(x,y,u \ z).
L(x,y \ z,u) = L(x,L(z * (y \ 1),y,y),u).
L(x,L(y * (z \ 1),z,z),u) = L(x,z \ y,u).
a(x,y,z \ u) = a(x,y,L(u * (z \ 1),z,z)).
a(x,y,L(z * (u \ 1),u,u)) = a(x,y,u \ z).
L(x * K(y,y \ 1),y,y) = y \ ((y \ 1) \ x).
L(x,y,L(z,u,u) * u) = L(x,y,(u \ 1) \ z).
a(L(x,y,y) * y,z,u) = a((y \ 1) \ x,z,u).
T((x * y) \ x,y) = L((x * y) \ x,y,y).
L((x * y) \ x,y,y) = T((x * y) \ x,y).
L(x,y,z \ a(z \ 1,z \ 1,(z \ 1) \ u)) = L(x,y,L((((z \ 1) \ u) / u) \ 1,z,z)).
L(x,y,L((((z \ 1) \ u) / u) \ 1,z,z)) = L(x,y,z \ a(z \ 1,z \ 1,(z \ 1) \ u)).
a((x \ 1) \ (x \ y),z,u) = a(L(y,x,x),z,u).
a(L(x,y,y),y,y \ 1) = ((x / y) / (1 / y)) \ x.
a(L(x,y,y),y,y \ 1) * ((x / y) / (1 / y)) = x.
a(L(x,y,y),y,y \ 1) \ x = (x / y) / (1 / y).
(x \ 1) * L(a(y,z,u),x,x) = x \ a(y,z,u).
x \ ((1 / x) \ a(y,z,u)) = L(a(y,z,u),1 / x,1 / x).
L(a(x,y,z),1 / u,1 / u) = u \ ((1 / u) \ a(x,y,z)).
(x \ 1) \ (x \ a(y,z,u)) = R(a(y,z,u),x,x).
L(x,L(y,z,z) * z,u) = L(x,(z \ 1) \ y,u).
a(x,L(y,z,z) * z,u) = a(x,(z \ 1) \ y,u).
a(x,(y \ 1) \ (y \ z),u) = a(x,L(z,y,y),u).
R(x,(y \ 1) \ z,u) = R(x,L(y * z,y,y),u).
R(x,L(y * z,y,y),u) = R(x,(y \ 1) \ z,u).
R(x,y,(z \ 1) \ (z \ u)) = R(x,y,L(u,z,z)).
a(x,y,L(z,u,u) * u) = a(x,y,(u \ 1) \ z).
a(x,y,(z \ 1) \ (z \ u)) = a(x,y,L(u,z,z)).
R(L(a(x,y,z),u,u),u,w) = (((1 / u) \ a(x,y,z)) * w) / (u * w).
L(x,y,L(z * u,u,u)) = L(x,y,(u \ 1) \ z).
a(x,y,z) * L(u,a(x,y,z),a(x,y,z)) = (1 / L(a(x,y,z),w,a(x,y,z))) \ u.
(1 / L(a(x,y,z),u,a(x,y,z))) \ w = a(x,y,z) * L(w,a(x,y,z),a(x,y,z)).
(x * ((1 / x) * y)) \ (x * (x \ y)) = (((x \ y) / y) \ 1) \ x.
L(x,L(y * z,z,z),u) = L(x,(1 / z) \ y,u).
a(x,y,L(z,y,x)) \ (z * y) = L(z,y,x) * y.
K(x * y,z) = K(L(x,y,u) * y,z).
K(L(x,y,z) * y,u) = K(x * y,u).
K(a(x,y,z) \ (u * w),v5) = K(L(u,w,v6) * w,v5).
L(x,x,x \ y) = L(x,x,y * (x \ 1)).
L(x,x,y * (x \ 1)) = L(x,x,x \ y).
L(x,y,z \ u) = L(x,y,L(u,z,z) * (z \ 1)).
L(x,y,L(z,u,u) * (u \ 1)) = L(x,y,u \ z).
L(x,x,(y * (x \ 1)) * R(z,y,x \ 1)) = L(x,x,x \ (z * y)).
a(x,x,x \ y) = a(x,x,y * (x \ 1)).
a(x,x,y * (x \ 1)) = a(x,x,x \ y).
a(1 / x,1 / x,y * x) = a(1 / x,1 / x,(1 / x) \ y).
a(1 / x,1 / x,(1 / x) \ y) = a(1 / x,1 / x,y * x).
(x \ ((x \ 1) \ y)) \ z = (L(y,x,x) \ z) * K(x \ 1,x).
(L(x,y,y) \ z) * K(y \ 1,y) = (y \ ((y \ 1) \ x)) \ z.
L(x,y,(z \ 1) \ u) = L(x,y,R(u,z,z) * z).
L(x,y,R(z,u,u) * u) = L(x,y,(u \ 1) \ z).
a((x \ 1) \ y,z,u) = a(L(x * y,x,x),z,u).
a(L(x * y,x,x),z,u) = a((x \ 1) \ y,z,u).
L(a(x,y,z),u,u) * (u \ 1) = u \ a(x,y,z).
(x \ 1) * R(a(y,z,u),x,x) = x \ a(y,z,u).
(1 / x) \ (a(y,z,u) / x) = R(a(y,z,u),x,x).
R(a(x,y,z),u,u) = u \ (a(x,y,z) / (u \ 1)).
x \ (a(y,z,u) / (x \ 1)) = R(a(y,z,u),x,x).
a(x,(y \ 1) \ z,u) = a(x,L(y * z,y,y),u).
a(x,L(y * z,y,y),u) = a(x,(y \ 1) \ z,u).
a(x,y,L(z * u,u,u)) = a(x,y,(u \ 1) \ z).
a(x,y,(z \ 1) \ (z \ L(u,w,v5))) = a(x,y,L(L(u,z,z),w,v5)).
L(x,y,(z \ 1) \ u) = L(x,y,L(z * u,z,z)).
L(x,y,L(z * u,z,z)) = L(x,y,(z \ 1) \ u).
L(x,L(y * z,z,z),u) = L(x,(z \ 1) \ y,u).
a(x,y \ z,L(y,y \ z,x)) \ z = L(y,y \ z,x) * (y \ z).
L(x,y,L(z,u,u) * (1 / u)) = L(x,y,u \ z).
a((x \ 1) \ y,z,u) = a(L(y * x,x,x),z,u).
a(L(x * y,y,y),z,u) = a((y \ 1) \ x,z,u).
(1 / x) * R(a(y,z,u),x,x) = a(y,z,u) / x.
(a(x,y,z) / u) / (1 / u) = R(a(x,y,z),u,u).
1 / T((a(x,y,z) / (u \ 1)) \ u,R(a(x,y,z),u,u)) = ((a(x,y,z) / (u \ 1)) \ u) \ 1.
R(a(x,y,z),u,u) * u = a(x,y,z) / (u \ 1).
a(x,x \ 1,(x \ 1) \ y) = a(x,x \ 1,y * x).
R(a(x,y,z),u,u) * (1 / u) = a(x,y,z) / u.
R(x / (a(y,z,u) * x),x,x) = x / (a(y,z,u) / (x \ 1)).
((x * y) * a(y,z,u)) \ (x * y) = (y * (x * a(y,z,u))) \ (y * x).
(x \ y) \ R(y * (y \ (x \ y)),z,a(y,u,w)) = R(x,z,a(y,u,w)) \ x.
K(x,y) * ((z * u) * R((z * u) \ K(y,x),w,a(u,v5,v6))) = (R(z,w,a(u,v5,v6)) * u) \ (z * u).
L(x * L(x,y,z),u,a(x,w,v5)) = x * L(x,y,z).
L(x * y,z,a(x,x,y)) = x * y.
a(x,x,y) * (T(z,a(x,x,y)) * T(x * y,z * a(x,x,y))) = (x * y) * (z * a(x,x,y)).
L(x \ L(R(x,y,z),u,a(x,w,v5)),x,y * z) = L(a(x,y,z),u,a(x,w,v5)).
L(x \ y,z,a(x,x,y)) = x \ y.
L(L(x,y,z) \ x,u,a(x,w,v5)) = L(x,y,z) \ x.
(x * R(y \ 1,z,u)) \ ((x * R(y \ 1,z,u)) * a(y,w,v5)) = L(a(y,w,v5),x,L(R(y \ 1,z,u),x,a(y,w,v5))).
L(a(x,y,z),u,L(R(x \ 1,w,v5),u,a(x,y,z))) = (u * R(x \ 1,w,v5)) \ ((u * R(x \ 1,w,v5)) * a(x,y,z)).
L(x,y,L(z \ 1,u,w)) = L(x,y,L(R(z \ 1,u,w),v5,a(z,v6,v7))).
L(x,y,L(R(z \ 1,u,w),v5,a(z,v6,v7))) = L(x,y,L(z \ 1,u,w)).
x * (a(y,y,x) * z) = a(y,y,x) * (x * z).
a(x,x,y) * (y * z) = y * (a(x,x,y) * z).
a(x,x,y) * z = y * (a(x,x,y) * (y \ z)).
x * (a(y,y,x) * (x \ z)) = a(y,y,x) * z.
a(x,x,y) * (y * L(a(x,x,y) \ K(z,a(x,x,y)),u,w)) = y * (L(1 / T(a(x,x,y),z),u,w) * a(x,x,y)).
x \ (a(y,y,x) * z) = a(y,y,x) * (x \ z).
(a(x,x,y) * (z * y)) / L(z * y,y,a(x,x,y)) = R(a(x,x,y),y,L(z,y,a(x,x,y))).
L(x,y,((z * u) * a(R(w,v5,v6),z,u)) * L(w,v5,v6)) = L(x,y,(z * u) * R(R(w,v5,v6),z,u)).
x * (a(x,y,z) \ K(x,u)) = T(a(x,y,z) \ x,u).
K(x * L(y,x,z),u) = K(x * (a(w,v5,v6) \ y),u).
(1 / a(x,y,z)) \ (1 / x) = a(x,y,z) / x.
(a(x,y,z) \ 1) \ (1 / x) = a(x,y,z) / x.
(a(x \ 1,y,z) \ 1) \ x = a(x \ 1,y,z) * x.
K(L(x,y,z) * y,u) = K(x * (a(w,v5,v6) \ y),u).
a(a(x,y,z),u,x * L(x,w,v5)) = 1.
K(x * R(y,z,u),w) = K(x * (a(v5,v6,v7) \ y),w).
(a(x \ 1,y,z) \ 1) \ x = x * a(x \ 1,y,z).
K(x * L(y,y \ 1,z),u) = K(x * (a(w,v5,v6) \ y),u).
x * ((y * z) * a(x,z,y)) = (x * z) * T(y,z).
a(x,x,y) = a(x,x,L(y,z,L(y,u,x) \ 1)).
a(x,x,L(y,z,L(y,u,x) \ 1)) = a(x,x,y).
L(T(1 / x,y) * z,x,x) = K(x \ 1,y) * (x \ z).
(((x * (y \ (y / x))) \ 1) \ ((x * (y \ (y / x))) \ z)) * ((x * (y \ (y / x))) \ 1) = L(z * ((x * (y \ (y / x))) \ 1),x * (y \ (y / x)),x * (y \ (y / x))).
a(x,x \ 1,y * x) * y = x \ ((x \ 1) \ y).
a(x,y,L(y \ z,y,x)) = (y * ((x * y) \ (x * z))) \ z.
a(x,a(y,z,u),L(y,a(y,z,u),x)) = L(y,a(y,z,u),x) \ y.
(a(x,y,z) \ 1) / L(L(x,u,w) \ 1,L(x,u,w),a(x,y,z) \ 1) = a(x,y,z) \ L(x,u,w).
L(a(x,y,z),u,x \ 1) = a(x,y,z).
(x \ a(x,y,z)) \ ((x \ 1) * (u * a(x,y,z))) = L(u,x \ 1,a(x,y,z)).
((x \ 1) * y) / a(x,z,u) = (x \ 1) * (y / a(x,z,u)).
a(x,y,z) = R(a(x,y,z),u,x \ 1).
R(a(x,y,z),u,x \ 1) = a(x,y,z).
a(x,x \ 1,L(y,z,x \ 1)) = a(x,x \ 1,y).
R(a(x,y,z),u,1 / x) = a(x,y,z).
a(x,y,z) \ (u * (1 / x)) = (a(x,y,z) \ u) * (1 / x).
a(x,y,z) * (u * (1 / x)) = (u * a(x,y,z)) * (1 / x).
(x * a(y,z,u)) * (1 / y) = a(y,z,u) * (x * (1 / y)).
a(x,x \ 1,y) \ L(y,z,x \ 1) = L(L(y,z,x \ 1),x \ 1,x).
R(x \ 1,y,z) * a(x,u,w) = R(x,y,z) \ a(x,u,w).
x * ((y * x) \ ((x * z) * y)) = T(x * L(z,x,y),y).
a(T(x * L(y,x,z),z),u,w) = a(x * R(y,x,z),u,w).
a(T(x * L(y,x,z),z) \ u,w,v5) = a((x * R(y,x,z)) \ u,w,v5).
a(x,T(y * L(z,y,u),u) \ w,v5) = a(x,(y * R(z,y,u)) \ w,v5).
a(x,y,T(z * L(u,z,w),w) \ v5) = a(x,y,(z * R(u,z,w)) \ v5).
(((x \ y) * (y \ x)) \ 1) \ y = ((x \ y) * (y \ x)) * y.
K(L(x,y,z) * y,u) = K(x * L(y,y \ 1,w),u).
K(L(x \ 1,y,z) * y,u) = K(x \ L(y,y \ 1,w),u).
K(x \ L(y,y \ 1,z),u) = K(L(x \ 1,y,w) * y,u).
(x \ 1) * (y / a(x,z,u)) = a(x,z,u) \ ((x \ 1) * y).
a(x,y,z) \ ((x \ 1) * u) = (x \ 1) * (u / a(x,y,z)).
x * y != a(z,u,w) * ((y \ v5) * y) | x = y \ (v5 * a(z,u,w)).
((1 / x) \ y) * a(x,z,u) = (1 / x) \ (y * a(x,z,u)).
(1 / x) \ (y * a(x,z,u)) = ((1 / x) \ y) * a(x,z,u).
a(x * R(y,x,z),u,w) = a(x * L(y,x,z),u,w).
a(x * L(y,x,z),u,w) = a(x * R(y,x,z),u,w).
a(x * L(y * z,x,y),u,w) = a(x * (y * L(z,x,y)),u,w).
K(R(x,y,z) \ u,w) = K(L(x \ 1,u,v5) * u,w).
a(x,y,z) \ ((x \ 1) * u) = (x \ 1) * (a(x,y,z) \ u).
x * L(y * a(x,z,u),x,x) = ((1 / x) \ y) * a(x,z,u).
a(1 / x,y,z) \ (x * u) = ((1 / x) \ 1) * (a(1 / x,y,z) \ u).
((1 / x) \ 1) * (a(1 / x,y,z) \ u) = a(1 / x,y,z) \ (x * u).
x * (y * L(a(x,z,u),x,y)) = (a(x,z,u) * x) * y.
R(x / (y * x),z,a(y,u,w)) = R(1 / y,y,x).
R(1 / x,x,y) = (y * a(x,z,u)) / ((x * y) * a(x,z,u)).
(x * a(y,z,u)) / ((y * x) * a(y,z,u)) = R(1 / y,y,x).
a((L(x,y,y) * y) \ z,u,w) = a(((y \ 1) \ x) \ z,u,w).
a(((x \ 1) \ (x \ y)) \ z,u,w) = a(L(y,x,x) \ z,u,w).
L(x,y \ L(z,u,u),x) = L(x,u * ((u * y) \ z),x).
L(x,y * ((y * z) \ u),x) = L(x,z \ L(u,y,y),x).
L(x,y \ L(z,u,u),x) = L(x,u * (y \ (u \ z)),x).
L(x,y * (z \ (y \ u)),x) = L(x,z \ L(u,y,y),x).
L(x,a(y,y,z) * (u \ (a(y,y,z) \ (y * z))),x) = L(x,u \ (y * z),x).
a(x,y,z \ ((u \ 1) \ (u \ w))) = a(x,y,z \ L(w,u,u)).
a(x,y,z * ((u \ 1) \ (u \ w))) = a(x,y,z * L(w,u,u)).
a(x,y,((z \ 1) \ (z \ u)) \ w) = a(x,y,L(u,z,z) \ w).
L(x,y,z * ((u \ 1) \ w)) = L(x,y,z * L(u * w,u,u)).
L(x,y,z * L(u * w,u,u)) = L(x,y,z * ((u \ 1) \ w)).
a(x \ ((y \ 1) \ z),u,w) = a(x \ L(y * z,y,y),u,w).
a(x \ L(y * z,y,y),u,w) = a(x \ ((y \ 1) \ z),u,w).
L(1 \ ((x \ 1) * y),x,x) = T(x,x \ 1) \ y.
L((x \ 1) * y,x,x) = T(x,x \ 1) \ y.
R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)).
L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)).
T(x,y) * L(z,x,x \ 1) = x \ ((T(x,y) * x) * z).
T(x,y) * L(z,x,x \ 1) = x \ ((x * T(x,y)) * z).
L(a(x,y,z),1 / u,1 / u) = L(a(x,y,z),u,u).
L(a(x,y,z),1 / u,1 / u) = R(a(x,y,z),u,u).
R(a(x,y,z),u,u) = R(a(x,y,z),1 / u,1 / u).
R(a(x,y,z),1 / u,1 / u) = R(a(x,y,z),u,u).
R(a(x,y,z),u,u) = R(a(x,y,z),1 / u,u \ 1).
R(a(x,y,z),1 / u,u \ 1) = R(a(x,y,z),u,u).
R(a(x,y,z),u,u) = R(a(x,y,z),u \ 1,u \ 1).
R(a(x,y,z),u \ 1,u \ 1) = R(a(x,y,z),u,u).
a(x,(y \ ((y \ 1) \ z)) \ u,w) = a(x,L(z,y,y) \ u,w).
R(x,y,(z \ ((z \ 1) \ u)) \ w) = R(x,y,L(u,z,z) \ w).
x * y != ((1 / x) \ z) * a(x,u,w) | y = L(z,x,x) * a(x,u,w).
L(x * a(y,z,u),y,y) = L(x,y,y) * a(y,z,u).
a(x,y,z) \ L(u,x,x) = L(a(x,y,z) \ u,x,x).
L(a(x,y,z) \ u,x,x) = a(x,y,z) \ L(u,x,x).
(x * a(y,z,u)) / (y * (x * a(y,z,u))) = R(1 / y,y,x).
a(L(x \ 1,y,y),z,u) = a(((y \ 1) \ (y \ x)) \ 1,z,u).
a(((x \ 1) \ (x \ y)) \ 1,z,u) = a(L(y \ 1,x,x),z,u).
a(x,y,z \ L(u,z,z)) = a(x,y,L(z \ u,z,z)).
a(x,y,L(z \ u,z,z)) = a(x,y,z \ L(u,z,z)).
a(x,y,z \ u) = a(x,y,(z \ 1) * L(u,z,z)).
a(x,y,(z \ 1) * L(u,z,z)) = a(x,y,z \ u).
a(x,y,(z \ 1) * u) = a(x,y,z \ L(u,z,z \ 1)).
a(x,y,z \ L(u,z,z \ 1)) = a(x,y,(z \ 1) * u).
a(x,((y \ 1) \ (y \ z)) \ u,w) = a(x,L(z,y,y) \ u,w).
R(x,y,(z \ ((z \ 1) \ (u * K(z * u,z)))) \ w) = R(x,y,((z * z) \ ((z * u) * z)) \ w).
(1 / (1 / x)) \ (1 / R(1 / x,x,y)) = a(x,x,y * a(x,z,u)).
a(x,x,y * a(x,z,u)) = (1 / (1 / x)) \ (1 / R(1 / x,x,y)).
a(((x \ 1) \ (y / x)) \ 1,z,u) = a(L(y \ 1,x,x),z,u).
a(x,((1 / y) \ (y \ z)) \ u,w) = a(x,L(z,y,y) \ u,w).
a(((x \ 1) \ y) \ 1,z,u) = a(L((y * x) \ 1,x,x),z,u).
a(L((x * y) \ 1,y,y),z,u) = a(((y \ 1) \ x) \ 1,z,u).
(a(x,y,z) \ 1) * (x * u) = x * ((a(x,y,z) \ 1) * u).
x * ((a(x,y,z) \ 1) * u) = (x * u) * (a(x,y,z) \ 1).
(x * y) * (a(x,z,u) \ 1) = x * ((a(x,z,u) \ 1) * y).
L(a(x,y,z),u,R(x,w,v5)) = a(x,y,z).
((a(x,y,z) * R(x,u,w)) * v5) / (R(x,u,w) * (v5 * a(x,y,z))) = a(a(x,y,z),R(x,u,w),v5) * K(a(x,y,z),R(x,u,w) * v5).
(a(x,y,z) * R(x,u,w)) \ (R(x,u,w) * (v5 * a(x,y,z))) = L(v5,L(x,u,w),a(x,y,z)).
L(a(x,y,z),u,L(x,w,v5)) = a(x,y,z).
a(x,y,z) * (L(x,u,w) * v5) = L(x,u,w) * (v5 * a(x,y,z)).
L(x,y,z) * (u * a(x,w,v5)) = a(x,w,v5) * (L(x,y,z) * u).
a(x,y,z) = R(a(x,y,z),u,L(x,w,v5)).
R(a(x,y,z),u,L(x,w,v5)) = a(x,y,z).
R(1 / x,y,z) \ a(x \ 1,u,w) = R(x,y,z) * a(x \ 1,u,w).
(L(x,y,z) \ x) * a(x,u,w) = x * (L(x,y,z) \ a(x,u,w)).
a(x,y,z) * (R(x,u,w) \ v5) = R(x,u,w) \ (a(x,y,z) * v5).
R(x,y,z) \ (a(x,u,w) * v5) = a(x,u,w) * (R(x,y,z) \ v5).
(x * (a(y,z,u) * R(y,w,v5))) \ (a(y,z,u) * (x * R(y,w,v5))) = a(x,a(y,z,u),R(y,w,v5)).
a(x,x,y) * (L(y,z,u) \ w) = L(y,z,u) \ (a(x,x,y) * w).
L(x,y,z) \ (a(u,u,x) * w) = a(u,u,x) * (L(x,y,z) \ w).
(x * a(y,y,z)) * L(z,u,w) = a(y,y,z) * (x * L(z,u,w)).
(a(x,x,y) * (z * L(y,u,w))) \ (z * (a(x,x,y) * L(y,u,w))) = a(L(y,u,w),a(x,x,y),z).
L(x,y,(z * z) * (z \ u)) = L(x,y,z * L(u,z,z \ 1)).
L(x,y,z * L(u,z,z \ 1)) = L(x,y,(z * z) * (z \ u)).
L(x,y,L(z * u,z,z \ 1)) = L(x,y,(z * z) * (z \ u)).
L(x,y,z \ ((z * z) * u)) = L(x,y,(z * z) * (z \ u)).
L(x,y,(z * z) * (z \ u)) = L(x,y,z \ (u * (z * z))).
L(x,y,z \ (u * (z * z))) = L(x,y,(z * z) * (z \ u)).
L(x,y,(z * z) * (z \ u)) = L(x,y,u * L(z,z,u)).
L(x,y,L(z * u,z,u)) = L(x,y,(z * z) * (z \ u)).
L(x,y,(z * z) * (z \ u)) = L(x,y,L(u * z,z,z \ 1)).
L(x,y,L(z * u,u,u \ 1)) = L(x,y,(u * u) * (u \ z)).
a((x * x) * (x \ y),z,u) = a(x * L(y,x,x \ 1),z,u).
a(x * L(y,x,x \ 1),z,u) = a((x * x) * (x \ y),z,u).
a(L(x * y,x,x \ 1),z,u) = a((x * x) * (x \ y),z,u).
a(x \ ((x * x) * y),z,u) = a((x * x) * (x \ y),z,u).
a((x * x) * (x \ y),z,u) = a(x \ (y * (x * x)),z,u).
a(x \ (y * (x * x)),z,u) = a((x * x) * (x \ y),z,u).
a(L(x * y,x,y),z,u) = a((x * x) * (x \ y),z,u).
a((x * x) * (x \ y),z,u) = a(L(y * x,x,y),z,u).
a(L(x * y,y,x),z,u) = a((y * y) * (y \ x),z,u).
a((x * x) * (x \ T(y,z)),u,w) = a(L(y * x,x,y),u,w).
a(L(x * y,y,x),z,u) = a((y * y) * (y \ T(x,w)),z,u).
a(L(x,y,y \ 1),z,u) = a((y * y) * (y \ (y \ x)),z,u).
a((x * x) * (x \ (x \ y)),z,u) = a(L(y,x,x \ 1),z,u).
a((x * x) * (x \ y),z,u) = a(L(y * x,x,x \ 1),z,u).
a(L(x * y,y,y \ 1),z,u) = a((y * y) * (y \ x),z,u).
L(x,(y * y) * (y \ z),u) = L(x,y * L(z,y,y \ 1),u).
L(x,y * L(z,y,y \ 1),u) = L(x,(y * y) * (y \ z),u).
L(x,y \ ((y * y) * z),u) = L(x,(y * y) * (y \ z),u).
L(x,(y * y) * (y \ z),u) = L(x,y \ (z * (y * y)),u).
L(x,y \ (z * (y * y)),u) = L(x,(y * y) * (y \ z),u).
R(x,y,(z * z) * (z \ u)) = R(x,y,z * L(u,z,z \ 1)).
R(x,y,z * L(u,z,z \ 1)) = R(x,y,(z * z) * (z \ u)).
R(x,y,(z * z) * (z \ u)) = R(x,y,z \ (u * (z * z))).
R(x,y,z \ (u * (z * z))) = R(x,y,(z * z) * (z \ u)).
R(x,y,(z * z) * (z \ u)) = R(x,y,u * L(z,z,u)).
R(x,y,z * L(u,u,z)) = R(x,y,(u \ z) * (u * u)).
R(x,y,(z \ u) * (z * z)) = R(x,y,u * L(z,z,u)).
a(x,y,(z * z) * (z \ u)) = a(x,y,z * L(u,z,z \ 1)).
a(x,y,z * L(u,z,z \ 1)) = a(x,y,(z * z) * (z \ u)).
a(x,y,L(z * u,z,z \ 1)) = a(x,y,(z * z) * (z \ u)).
a(x,y,z \ ((z * z) * u)) = a(x,y,(z * z) * (z \ u)).
a(x,y,(z * z) * (z \ u)) = a(x,y,z \ (u * (z * z))).
a(x,y,z \ (u * (z * z))) = a(x,y,(z * z) * (z \ u)).
a(x,y,L(z * u,z,u)) = a(x,y,(z * z) * (z \ u)).
a(x,y,(z * z) * (z \ u)) = a(x,y,L(u * z,z,u)).
a(x,y,L(z * u,u,z)) = a(x,y,(u * u) * (u \ z)).
a(x,y,L(z,u,u \ 1)) = a(x,y,(u * u) * (u \ (u \ z))).
a(x,y,(z * z) * (z \ (z \ u))) = a(x,y,L(u,z,z \ 1)).
a(x,y,(z * z) * (z \ u)) = a(x,y,L(u * z,z,z \ 1)).
a(x,y,L(z * u,u,u \ 1)) = a(x,y,(u * u) * (u \ z)).
((R(x,x,y) \ x) \ 1) \ (x * y) = (R(x,x,y) \ x) * (x * y).
L(x,y \ ((y \ z) * (y * y)),u) = L(x,L(z,y,y \ 1),u).
L(x,L(y,z,z \ 1),u) = L(x,(z * z) * (z \ (z \ y)),u).
L(x,(y * y) * (y \ (y \ z)),u) = L(x,L(z,y,y \ 1),u).
L(x,(y * y) * (y \ z),u) = L(x,L(y * z,y,y \ 1),u).
L(x,L(y * z,y,y \ 1),u) = L(x,(y * y) * (y \ z),u).
L(x,(y * y) * (y \ z),u) = L(x,L(z * y,y,y \ 1),u).
L(x,L(y * z,z,z \ 1),u) = L(x,(z * z) * (z \ y),u).
a(x,y \ ((y \ z) * (y * y)),u) = a(x,L(z,y,y \ 1),u).
R(x,y,z \ ((z \ u) * (z * z))) = R(x,y,L(u,z,z \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,(u * u) * (u \ (u \ z))).
R(x,y,(z * z) * (z \ (z \ u))) = R(x,y,L(u,z,z \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,(u \ (u \ z)) * (u * u)).
R(x,y,(z \ (z \ u)) * (z * z)) = R(x,y,L(u,z,z \ 1)).
L(x,y,L(z,u,u) * (1 / u)) = L(x,y,R(u \ 1,u,z) * z).
L(x,y,R(z \ 1,z,u) * u) = L(x,y,L(u,z,z) * (1 / z)).
(x * ((1 / x) * y)) \ y = (((x \ y) / y) \ 1) \ x.
(((x \ y) / y) \ 1) \ x = (x * ((1 / x) * y)) \ y.
(x * ((1 / x) * y)) \ y = ((x \ y) / y) * x.
(((x \ y) / y) * x) \ y = x * ((1 / x) * y).
((R(x,y,x) / T(x * y,x)) * y) \ T(x * y,x) = y * ((1 / y) * T(x * y,x)).
a(1 / x,1 / x,(1 / x) \ y) = a(1 / x,x \ 1,y * x).
(x \ R(x,x,y)) \ (x * y) = (R(x,x,y) \ x) * (x * y).
L(x,y,R(z \ 1,z,u) * u) = L(x,y,z \ u).
L(x,y,z \ u) = L(x,y,u * R(z \ 1,z,u)).
L(x,y,z * R(u \ 1,u,z)) = L(x,y,u \ z).
L(x,y,z * R(1 / u,u,z)) = L(x,y,u \ z).
a(1 / x,1 / x,(1 / x) \ y) = a(x \ 1,x \ 1,y * x).
(a(x,y,z) \ 1) \ (a(x,y,z) \ u) = L(u,a(x,y,z),a(x,y,z)).
R(x,y,z) * L(u,L(x,y,z),L(x,y,z)) = (1 / R(x,y,z)) \ u.
x * (K(y,y \ x) * a(y \ 1,y,y \ x)) = (1 / y) \ (x / y).
L(x,x,R(((x / y) \ 1) * z,y,x \ 1)) = L(x,x,x \ (z * y)).
a(x,y,L((z \ 1) \ (z \ u),w,v5)) = a(x,y,L(L(u,z,z),w,v5)).
a(x,x,y * a(x,z,u)) = (1 / (1 / x)) \ R(1 / (1 / x),x,y).
L(x \ 1,a(y,z,u),a(y,z,u)) = ((a(y,z,u) \ 1) \ (a(y,z,u) \ x)) \ 1.
((a(x,y,z) \ 1) \ (a(x,y,z) \ u)) \ 1 = L(u \ 1,a(x,y,z),a(x,y,z)).
(R(x,x,y) \ x) \ (a(x,x,y) \ z) = L(z,a(x,x,y),a(x,x,y)).
R(x,y,z) * L(u,L(x,y,z),L(x,y,z)) = R(1 / x,y,z) \ u.
L(x,x,L(((x / y) \ 1) * z,y,x \ 1)) = L(x,x,x \ (z * y)).
a(x,x,y * a(x,z,u)) = ((1 / x) \ 1) \ R((1 / x) \ 1,x,y).
a(x,x,y * a(x,z,u)) = x \ R((1 / x) \ 1,x,y).
a(x,x,y * a(x,z,u)) = x \ R(x,x,y).
a(x,x,y * a(x,z,u)) = a(x,x,y).
a(x,x,(x * y) * z) = a(x,x,x * (y * z)).
a(x,x,a(x,y,z) * u) = a(x,x,u).
a(x,x,(y * z) * R(x,z,y)) = a(x,x,(y * z) * x).
a(x,x,x \ (y * z)) = a(x,x,(x \ y) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),(x / (y \ 1)) * z) = a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((x / y) / (1 / y),(x / y) / (1 / y),(x / (y \ 1)) * z).
a(x,x,(y * z) * x) = a(x,x,(x * y) * z).
a(x,x,x \ (T(y,z) * u)) = a(x,x,(x \ u) * T(T(y,u),z)).
a(x,x,(x \ y) * T(T(z,y),u)) = a(x,x,x \ (T(z,u) * y)).
a(x,x,L(y \ z,y,y \ x)) = a(x,x,(x \ (x / y)) * z).
a(x,x,(y * z) * L(x,z,y)) = a(x,x,(y * z) * x).
a(x,x,y * (z * x)) = a(x,x,(y * z) * x).
a(x,x,(y * z) * x) = a(x,x,y * (z * x)).
a(x,x,y * (z * x)) = a(x,x,x * (y * z)).
a(x,x,y * (z * x)) = a(x,x,(x * y) * z).
a(x,x,(x * y) * z) = a(x,x,y * (z * x)).
a(x,x,y * (z * x)) = a(x,x,z * (x * y)).
a(x,x,(L(x,y,z) \ K(u,w)) * (v5 * x)) = a(x,x,v5 * ((L(x,y,z) \ x) * K(u,w))).
a(x,x,(x \ y) * T(T(z,y),u)) = a(x,x,(x \ T(z,u)) * y).
a(x,x,(x \ y) * T(T(z,y),u)) = a(x,x,y * (x \ z)).
a(x,x,(x \ y) * T(z,y)) = a(x,x,y * (x \ z)).
a(x,x,y * (x \ z)) = a(x,x,(x \ y) * z).
a(x,x,(x \ y) * z) = a(x,x,y * (x \ z)).
a(x,x,x \ (y * z)) = a(x,x,y * (x \ z)).
(R(x,x,y) \ x) * (R(x,x,y) \ x) = a(x,x,y) \ (a(x,x,y) \ 1).
a(a(x,y,z),x,u) = a(x,a(x,y,z),u).
((a(x,y,z) * x) * u) / L(x * u,a(x,y,z),a(x,a(x,y,z),u)) = a(a(x,y,z),x,u) * a(x,y,z).
(x * x) * (x \ ((1 / (1 / x)) * y)) = x * L(x * y,x \ 1,x).
(x * x) * (K(x \ 1,x) * y) = x * L(x * y,x \ 1,x).
x * L(x * y,x \ 1,x) = ((1 / (1 / x)) * x) * y.
x * L(x * y,x \ 1,x) = (x * (1 / (1 / x))) * y.
x * L(x * y,x \ 1,x) = (x / (x \ 1)) * y.
x \ ((x / (x \ 1)) * y) = L(x * y,x \ 1,x).
(1 / x) \ (((1 / x) / ((1 / x) \ 1)) * (x * y)) = L(L(y,x,x \ 1),(1 / x) \ 1,1 / x).
L((x \ y) \ 1,x \ y,R(x,x,y)) = y \ x.
L((x \ y) \ 1,x \ y,L(x,x,y)) = y \ x.
x \ y = (L(y,y,x) * (y \ x)) \ L(y,y,x).
(L(x,x,y) * (x \ y)) \ L(x,x,y) = y \ x.
(L(x,x,y) * (x \ y)) * (y \ x) = L(x,x,y).
L(x,T(y,x),y \ 1) * (T(x,y) \ y) = R(T(y,x),T(y,x),x).
L(x,y,y \ 1) * (T(x,y) \ y) = R(T(y,x),T(y,x),x).
R(T(x,y),T(x,y),y) = L(y,x,x \ 1) * (T(y,x) \ x).
R(T(x,y),T(x,y),y) = y \ (x * L(y,x,x \ 1)).
x \ (y * L(x,y,y \ 1)) = R(T(y,x),y,x).
x \ (y \ ((y * y) * x)) = R(T(y,x),y,x).
L(R(a(x,y,z),u,w),u,u) = (((1 / u) \ a(x,y,z)) * w) / (u * w).
a((x * R(y,x,z)) \ u,w,v5) = a((x * L(y,x,z)) \ u,w,v5).
a((x * L(y,x,z)) \ u,w,v5) = a((x * R(y,x,z)) \ u,w,v5).
a((x * L(y,x,z)) \ u,w,v5) = a((R(y,x,z) * x) \ u,w,v5).
a((R(x,y,z) * y) \ u,w,v5) = a((y * L(x,y,z)) \ u,w,v5).
a(x,(y * R(z,y,u)) \ w,v5) = a(x,(y * L(z,y,u)) \ w,v5).
a(x,(y * L(z,y,u)) \ w,v5) = a(x,(y * R(z,y,u)) \ w,v5).
a(x,(y * L(y \ z,y,y)) \ u,w) = a(x,R(z,y,y) \ u,w).
a(x,((1 / y) \ (y \ z)) \ u,w) = a(x,R(z,y,y) \ u,w).
a(x,R(y,z,z) \ u,w) = a(x,L(y,z,z) \ u,w).
a(x,L(y,z,z) \ u,w) = a(x,R(y,z,z) \ u,w).
a(x,y,(z * R(u,z,w)) \ v5) = a(x,y,(z * L(u,z,w)) \ v5).
a(x,y,(z * L(u,z,w)) \ v5) = a(x,y,(z * R(u,z,w)) \ v5).
a(x,y,R(z * u,u,u) \ w) = a(x,y,(u * L(z,u,u)) \ w).
a(x,y,R(z * u,u,u) \ w) = a(x,y,((1 / u) \ z) \ w).
a(x,y,R(z * u,u,u) \ w) = a(x,y,((u \ 1) \ z) \ w).
a(x,y,((z \ 1) \ (z \ u)) \ w) = a(x,y,R(u,z,z) \ w).
a(x,y,R(z,u,u) \ w) = a(x,y,L(z,u,u) \ w).
a(x,y,L(z,u,u) \ w) = a(x,y,R(z,u,u) \ w).
a(x,y,L(z,u,u) \ (w * R(z,u,u))) = a(x,y,T(w,R(z,u,u))).
a(x,y,L(z \ u,u,u)) = a(x,y,L(z,u,u) \ u).
x * a(x,L(y,x,x),L(y \ x,x,x)) = R(x,L(y,x,x),L(y,x,x) \ x).
a(x,y,L(z \ u,u,u) \ u) = a(x,y,L(z,u,u)).
a(x,y,L(z,u,u) \ (w * R(z,u,u))) = a(x,y,w).
a(x,y,L(z,u,u) \ ((w * v5) * a(w,R(z,u,u) \ v5,R(z,u,u)))) = a(x,y,w * (v5 / R(z,u,u))).
((1 / x) \ 1) * (a(1 / x,y,z) \ u) = a(x \ 1,y,z) \ (x * u).
L(L(a(x,y,z),u,w),u,u) = (((1 / u) \ a(x,y,z)) * w) / (u * w).
x * (a(1 / x,y,z) \ u) = a(x \ 1,y,z) \ (x * u).
a(x \ 1,y,z) \ (x * u) = x * (a(1 / x,y,z) \ u).
a(x,y,z) \ ((1 / x) * u) = (1 / x) * (a(1 / (1 / x),y,z) \ u).
(1 / x) * (a(1 / (1 / x),y,z) \ u) = a(x,y,z) \ ((1 / x) * u).
a(x \ 1,y,z) \ (x * u) = x * (a(x \ 1,y,z) \ u).
a(x \ 1,y,z) \ x = x * (a(x \ 1,y,z) \ 1).
x * (a(x \ 1,y,z) \ 1) = a(x \ 1,y,z) \ x.
x \ (a(x \ 1,y,z) \ x) = a(x \ 1,y,z) \ 1.
(1 / x) * (a(x,y,z) \ u) = a(x,y,z) \ ((1 / x) * u).
a(x,y,z) \ ((1 / x) * u) = (1 / x) * (a(x,y,z) \ u).
a(L(x,y,y) * z,u,w) = a(((K(y,y \ 1) / y) \ (y \ x)) * z,u,w).
a(((K(x,x \ 1) / x) \ (x \ y)) * z,u,w) = a(L(y,x,x) * z,u,w).
a(x,y \ L(z,u,u),w) = a(x,y \ ((K(u,u \ 1) / u) \ (u \ z)),w).
a(x,y \ ((K(z,z \ 1) / z) \ (z \ u)),w) = a(x,y \ L(u,z,z),w).
a(x,y,L(z,u,u) * w) = a(x,y,((K(u,u \ 1) / u) \ (u \ z)) * w).
a(x,y,((K(z,z \ 1) / z) \ (z \ u)) * w) = a(x,y,L(u,z,z) * w).
a(x,x \ y,z) * (z * (x \ y)) = x \ (y * T(z,x \ y)).
a(L(x,y,y) * z,u,w) = a(((y \ K(y,y \ 1)) \ (y \ x)) * z,u,w).
a(((x \ K(x,x \ 1)) \ (x \ y)) * z,u,w) = a(L(y,x,x) * z,u,w).
a(x,y \ L(z,u,u),w) = a(x,y \ ((u \ K(u,u \ 1)) \ (u \ z)),w).
a(x,y \ ((z \ K(z,z \ 1)) \ (z \ u)),w) = a(x,y \ L(u,z,z),w).
a(x,y,L(z,u,u) * w) = a(x,y,((u \ K(u,u \ 1)) \ (u \ z)) * w).
a(x,y,((z \ K(z,z \ 1)) \ (z \ u)) * w) = a(x,y,L(u,z,z) * w).
a(((1 / x) \ (x \ y)) * z,u,w) = a(L(y,x,x) * z,u,w).
a(L(x,y,y) * z,u,w) = a(((y \ 1) \ (y \ x)) * z,u,w).
a(((x \ 1) \ (x \ y)) * z,u,w) = a(L(y,x,x) * z,u,w).
a(x,y \ ((1 / z) \ (z \ u)),w) = a(x,y \ L(u,z,z),w).
a(x,L(y \ z,y,y),u) = a(x,y \ L(z,y,y),u).
a(x,y,((1 / z) \ (z \ u)) * w) = a(x,y,L(u,z,z) * w).
R(x,y,L(x \ L(x,z,u),w,v5)) = x.
R(x,y,x \ L(x,z,u)) = x.
R(x,y,z) = R(R(x,y,z),u,x \ L(x,w,v5)).
R(R(x,y,z),u,x \ L(x,w,v5)) = R(x,y,z).
a(x,x,a(y,z,u)) = (x * a(y,z,u)) \ R(x * a(y,z,u),x,a(y,z,u)).
(x * a(y,z,u)) \ R(x * a(y,z,u),x,a(y,z,u)) = a(x,x,a(y,z,u)).
L(x \ 1,x,y * a(x,z,u)) = L(x \ 1,x,y).
L(x \ 1,x,x \ (y * z)) = L(x \ 1,x,(x \ y) * z).
(x * x) * T(y * K(y * x,x),x) = x * T(x * ((1 / x) * (y * x)),x).
a(x,x \ L(x,y,z),u) = a(x,x \ L(x,y,z),x \ u).
a(x,x \ L(x,y,z),x \ u) = a(x,x \ L(x,y,z),u).
(x \ y) \ R(x \ y,z,a(y,u,w)) = R(x,z,a(y,u,w)) \ x.
(x \ y) \ L(x \ y,z,a(y,u,w)) = R(x,z,a(y,u,w)) \ x.
(x \ y) \ L(x \ y,z,a(y,u,w)) = L(x,z,a(y,u,w)) \ x.
L(x \ y,z,a(y,u,w)) \ (x \ y) = x \ L(x,z,a(y,u,w)).
L(x,y \ 1,a(y,z,u)) = L(x,a(y,z,u),y \ 1).
L(x,a(y,z,u),y \ 1) = L(x,y \ 1,a(y,z,u)).
a(x,x,a(y,z,u)) = a(x * a(y,z,u),x,a(y,z,u)).
a(x * a(y,z,u),x,a(y,z,u)) = a(x,x,a(y,z,u)).
(x * x) * T(y * K(y * x,x),x) = x * T(L(y,x,x \ 1) * x,x).
(x * x) * T(y * K(y * x,x),x) = (L(y,x,x \ 1) * x) * x.
(x * x) * (x \ T(y * x,x)) = (L(y,x,x \ 1) * x) * x.
a(L((x * y) * y,y,x * y),z,u) = a((L(x,y,y \ 1) * y) * y,z,u).
a(L((x * y) * y,y,x * y),z,u) = a((y * y) * x,z,u).
x * R(T(y \ L(y,z,u),y * x),y,x) = y \ (L(y,z,u) * x).
x * R(T(y \ L(y,z,u),y * x),y,x) = (x / y) * L(y,z,u).
x * L(y \ L(y,z,u),y,x) = (x / y) * L(y,z,u).
x \ ((x / y) * L(y,z,u)) = L(y \ L(y,z,u),y,x).
L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)).
x * (y \ (x * L(x \ y,z,u))) = (x / (x \ y)) * L(x \ y,z,u).
(x / (x \ y)) * L(x \ y,z,u) = x * (y \ (x * L(x \ y,z,u))).
x \ ((x / y) * L(y,z,u)) = (x * y) \ (x * L(y,z,u)).
(x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)).
(L(x,y,z) \ u) \ (((L(x,y,z) \ u) / x) * L(x,y,z)) = ((u / L(x,y,z)) * x) \ u.
L(x \ L(x,y,z),x,x \ u) = L(x \ L(x,y,z),x,u).
L(x \ L(x,y,z),x,y * z) = (y * z) \ ((z * (T(y,z) * x)) / x).
x \ ((x / y) * L(y,z,u)) = (y * x) \ (L(y,z,u) * x).
(x * y) \ (L(x,z,u) * y) = y \ ((y / x) * L(x,z,u)).
L(x \ L(x,y,z),x,u) * u = (u / x) * L(x,y,z).
L(x,(y * z) \ (((y * z) / u) * L(u,y,z)),w) = L(x,a(u,y,z),w).
L(x \ L(x,y,z),x,y * z) = (z * y) \ ((z * (y * x)) / x).
L(x,(y * z) \ ((z * (T(y,z) * u)) / u),w) = L(x,a(u,y,z),w).
L(x,(y * z) \ ((y * (z * u)) / u),w) = L(x,a(u,z,y),w).
(x * (y * a(x,z,u))) / T(a(x,z,u) * x,y) = R(y,x,L(a(x,z,u),y,x)).
L(x,y,y) / (L(x,y,y) * y) = (((1 / y) \ x) / y) / ((1 / y) \ x).
L(x * R(1 / y,z,u),R(y,z,u),R(y,z,u)) = R(y,z,u) \ T(x,y \ 1).
L(a(x,y,z) \ (1 / (1 / u)),1 / u,1 / u) = ((1 / (1 / u)) \ (a(x,y,z) \ u)) / (1 / u).
T(x,y \ 1) \ L(x * (1 / y),y,y) = (y * (x * (1 / y))) \ (x * (1 / y)).
L(L(x,x,y) \ 1,L(x,x,y),L(y,x,x)) = ((y * (x * x)) / x) \ (y * 1).
L(L(x,x,y) \ 1,L(x,x,y),L(y,x,x)) = ((y * (x * x)) / x) \ y.
((x * (y * y)) / y) \ x = (x * y) \ R(x,y,y).
(x * L(y,y,x)) \ x = (x * y) \ R(x,y,y).
1 / T((x * L(y,y,x)) \ x,L(y,y,x)) = ((x * y) \ R(x,y,y)) \ 1.
1 / T((x * L(y,y,x)) \ x,y) = ((x * y) \ R(x,y,y)) \ 1.
(x * K(y \ 1,x * y)) * a(y,y \ 1,(y \ 1) \ x) = y \ (x / (y \ 1)).
L(x \ R(x,y,z),x,y * z) = L(a(x,y,z),u,a(x,w,v5)).
L(a(x,y,z),u,a(x,w,v5)) = L(x \ R(x,y,z),x,y * z).
a(x,y,z) = L(a(x,y,z),u,a(x,w,v5)).
L(a(x,y,z),u,a(x,w,v5)) = a(x,y,z).
(a(x,y,z) * u) * a(x,w,v5) = a(x,y,z) * (u * a(x,w,v5)).
L(a(x,y,z) \ 1,u,a(x,w,v5)) = a(x,y,z) \ 1.
a(x,y,z) * L(u,w,a(x,v5,v6)) = L(a(x,y,z) * u,w,a(x,v5,v6)).
L(a(x,y,z) * u,w,a(x,v5,v6)) = a(x,y,z) * L(u,w,a(x,v5,v6)).
a(x,y,z) * (a(x,u,w) \ 1) = a(x,u,w) \ a(x,y,z).
a(x,y,z) / (a(x,u,w) \ 1) = a(x,y,z) * a(x,u,w).
a(x,y,z) \ (a(x,u,w) \ 1) = (a(x,y,z) \ 1) * (a(x,u,w) \ 1).
(a(x,y,z) \ 1) * (a(x,u,w) \ 1) = a(x,y,z) \ (a(x,u,w) \ 1).
(x * R(a(y,z,u) \ 1,x,a(y,w,v5))) \ ((x * (a(y,z,u) \ 1)) * a(y,w,v5)) = L(a(y,w,v5),x,a(y,z,u) \ 1).
a(x,y,z) * (a(x,u,w) \ 1) = (1 / a(x,y,z)) \ (a(x,u,w) \ 1).
(1 / a(x,y,z)) \ (a(x,u,w) \ 1) = a(x,y,z) * (a(x,u,w) \ 1).
a(x,y,z) * a(x,u,w) = (a(x,u,w) \ 1) \ a(x,y,z).
(a(x,y,z) \ 1) \ a(x,u,w) = a(x,u,w) * a(x,y,z).
((a(x,y,z) \ 1) / a(x,y,z)) \ 1 = a(x,y,z) * a(x,y,z).
a(x,y,z) * (a(x,u,w) \ v5) = a(x,u,w) \ (a(x,y,z) * v5).
a(x,y,z) \ (a(x,u,w) * v5) = a(x,u,w) * (a(x,y,z) \ v5).
a(x,y,z) * (a(x,u,w) \ v5) = a(x,u,w) \ (v5 * a(x,y,z)).
a(x,y,z) \ (u * a(x,w,v5)) = a(x,w,v5) * (a(x,y,z) \ u).
(a(x \ 1,y,y \ 1) / a(x,y,y \ 1)) \ 1 = a(x,y,y \ 1) * a(x,y,y \ 1).
a(x,y,z) * (a(x,u,w) * (a(x,y,z) \ v5)) = a(x,u,w) * v5.
(1 / a(x,y,z)) \ (a(x,u,w) \ 1) = a(x,u,w) \ a(x,y,z).
(a(x,y,z) \ 1) \ (a(x,u,w) \ 1) = a(x,u,w) \ a(x,y,z).
((a(x,y,z) \ 1) \ u) \ 1 = L((a(x,y,z) * u) \ 1,a(x,y,z),a(x,y,z)).
L((a(x,y,z) * u) \ 1,a(x,y,z),a(x,y,z)) = ((a(x,y,z) \ 1) \ u) \ 1.
R(x,y,L(a(y,z,u),x,y)) = L(x,a(y,z,u),y).
R(x,y,a(y,z,u)) = L(x,a(y,z,u),y).
L(x,a(y,z,u),y) = R(x,y,a(y,z,u)).
L(x,y,a(y,z,u)) = L(x,a(y,z,u),y).
L(x,a(y,z,u),y) = L(x,y,a(y,z,u)).
L(x,y,a(y,z,u)) = R(x,a(y,z,u),y).
a(x,x,L(y,x,a(x,z,u))) = a(x,x,y).
a(x,a(y,z,u),y) = L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)).
L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)) = a(x,a(y,z,u),y).
a(x,a(y,z,u),y) = a(x,y,a(y,z,u)).
R(x,y,x) \ T(z,x \ 1) = L(z * R(1 / x,y,x),R(x,y,x),x).
L(x * R(1 / y,z,y),R(y,z,y),y) = R(y,z,y) \ T(x,y \ 1).
L(x * R(1 / y,z,u),R(y,z,u),L(y,z,u)) = R(y,z,u) \ T(x,y \ 1).
R(x,y,x) \ T(z,x \ 1) = L(z * R(1 / x,y,x),x,x).
L(x * R(1 / y,z,y),y,y) = R(y,z,y) \ T(x,y \ 1).
T(x,y \ 1) \ (y \ T(x,y \ 1)) = (y * (x * (1 / y))) \ (x * (1 / y)).
(x * (y * (1 / x))) \ (y * (1 / x)) = T(y,x \ 1) \ (x \ T(y,x \ 1)).
(x * (y * (1 / x))) \ (y * (1 / x)) = y \ (x \ y).
(x * K(y \ 1,x * y)) * a(y,y \ 1,x * y) = y \ (x / (y \ 1)).
x \ (y / (x \ 1)) = y * (K(x \ 1,y * x) * a(x,x \ 1,y * x)).
x * (K(y \ 1,x * y) * a(y,y \ 1,x * y)) = y \ (x / (y \ 1)).
L(x * R(1 / y,z,u),L(y,z,u),L(y,z,u)) = R(y,z,u) \ T(x,y \ 1).
a(x,x,y) \ ((1 / x) * (R(x,x,y) * z)) = L(z,R(x,x,y),1 / x).
a(x,x,y) \ ((1 / x) * (R(x,x,y) * z)) = L(z,R(x,x,y),x \ 1).
L(x,L(y,y,z),y \ 1) = a(y,y,z) \ ((1 / y) * (R(y,y,z) * x)).
a(x,x,y) \ ((1 / x) * (R(x,x,y) * z)) = L(z,L(x,x,y),x \ 1).
a(a(x,y,z),a(x,y,z),u) = (a(x,y,z) * u) \ R(a(x,y,z) * u,a(x,y,z),u).
(a(x,y,z) * u) \ R(a(x,y,z) * u,a(x,y,z),u) = a(a(x,y,z),a(x,y,z),u).
(R(1 / x,x,y) * x) \ T(y * x,y) = x * ((1 / x) * T(y * x,y)).
(x * R(x \ 1,x,y)) \ T(y * x,y) = x * ((1 / x) * T(y * x,y)).
(R(x,x,y) \ x) \ T(y * x,y) = x * ((1 / x) * T(y * x,y)).
a(a(x,y,z),a(x,y,z),u) = a(a(x,y,z) * u,a(x,y,z),u).
a(a(x,y,z) * u,a(x,y,z),u) = a(a(x,y,z),a(x,y,z),u).
a(x,y,z) \ R(x,u,w) = R(x,u,w) * (a(x,y,z) \ 1).
R(x,y,z) * (a(x,u,w) \ 1) = a(x,u,w) \ R(x,y,z).
((x \ y) / y) \ ((R(x,y \ (x \ y),y) \ y) / y) = a((x \ y) / y,(x \ y) / y,y).
a(x,x,y * ((L(x,z,u) \ x) * K(w,v5))) = a(x,x,(y * x) * (L(x,z,u) \ 1)).
(L(x,y,z) \ u) \ (((x \ u) / L(x,y,z)) * L(x,y,z)) = ((u / L(x,y,z)) * x) \ u.
(a(x,y,y \ 1) \ a(x \ 1,y,y \ 1)) \ 1 = a(x,y,y \ 1) * a(x,y,y \ 1).
((x \ y) / y) \ (((x \ 1) * y) / y) = a((x \ y) / y,(x \ y) / y,y).
a((x \ y) / y,(x \ y) / y,y) = ((x \ y) / y) \ (((x \ 1) * y) / y).
a((x \ y) / y,(x \ y) / y,y) = ((x \ y) / y) \ (x \ 1).
(L(x,y,z) \ u) \ (x \ u) = ((u / L(x,y,z)) * x) \ u.
((x / L(y,z,u)) * y) \ x = (L(y,z,u) \ x) \ (y \ x).
(x * (L(x,y,z) \ u)) \ u = (L(x,y,z) \ u) \ (x \ u).
x / (y * (L(y,z,u) \ x)) = (L(y,z,u) \ x) \ (y \ x).
(x * y) / (x * (x * (L(x,z,u) \ y))) = (L(x,z,u) \ (x * y)) \ (x \ (x * y)).
(x * y) / (x * (x * (L(x,z,u) \ y))) = (x * (L(x,z,u) \ y)) \ (x \ (x * y)).
(x * y) / (x * (x * (L(x,z,u) \ y))) = (x * (L(x,z,u) \ y)) \ y.
a(T(x,y * z) * R(T(y,x * z),z,x),u,w) = a(L(T(y,z),z,x) * x,u,w).
a(T(x,y * z) * R(T(y,x * z),z,x),u,w) = a(L(y,z,x) * x,u,w).
a(L(x,y,z) * z,u,w) = a(T(z,x * y) * R(x,y,z),u,w).
a(T(x,y * z) * R(y,z,x),u,w) = a(L(y,z,x) * x,u,w).
a(L(x,y,z) * z,u,w) = a(z * R(x,y,z),u,w).
a(L(x * y,z,x),u,w) = a(L(y,z,x) * x,u,w).
a(L(x * y,z,x),u,w) = a(x * L(y,z,x),u,w).
a(L(x * (y \ (x \ z)),y,x),u,w) = a(x * ((x * y) \ z),u,w).
L(1 / x,x \ L(x,y,z),L(x,y,z) \ x) = 1 / x.
(x \ L(x,y,z)) * ((L(x,y,z) \ x) * u) = L(u,L(x,y,z) \ x,x \ L(x,y,z)).
(x * (y \ L(y,z,u))) * (L(y,z,u) \ y) = R(x,y \ L(y,z,u),L(y,z,u) \ y).
R(x,y \ L(y,z,u),L(y,z,u) \ y) = L(x,y \ L(y,z,u),L(y,z,u) \ y).
L(x,y \ L(y,z,u),L(y,z,u) \ y) = R(x,y \ L(y,z,u),L(y,z,u) \ y).
R(1 / x,x \ L(x,y,z),L(x,y,z) \ x) = 1 / x.
R(1 / x,x \ L(x,y,z),(x \ L(x,y,z)) \ 1) = 1 / x.
R((L(x,y,z) \ x) \ (1 / L(x,y,z)),x \ L(x,u,w),(x \ L(x,u,w)) \ 1) = 1 / x.
a(x * L(y * ((y \ (x \ z)) * K(u,w)),x,y),v5,v6) = a(y * (x * ((y * x) \ z)),v5,v6).
R(x,y,L(R(x,z,u) \ x,y,x)) = x.
R(x,y,R(x,z,u) \ x) = x.
R(x,y,z) * (u * (R(x,w,v5) \ x)) = (R(x,y,z) * u) * (R(x,w,v5) \ x).
(R(x,y,z) * u) * (R(x,w,v5) \ x) = R(x,y,z) * (u * (R(x,w,v5) \ x)).
L(R(x,y,z) \ x,u,R(x,w,v5)) = R(x,y,z) \ x.
L(R(x,y,z) \ x,u,L(x,w,v5)) = R(x,y,z) \ x.
L(R(x,y,z) \ x,u,w) = L(L(R(x,y,z) \ x,u,w),v5,L(x,v6,v7)).
L(L(R(x,y,z) \ x,u,w),v5,L(x,v6,v7)) = L(R(x,y,z) \ x,u,w).
((x * y) \ (((y * z) * x) * R(((y * z) * x) \ (x * y),u,u))) * u = L(u,u,L(z,y,x)).
R(x \ 1,y,z) \ (R(x,y,z) \ u) = L(u,R(x \ 1,y,z),R(x \ 1,y,z)).
L(x,R(y \ 1,z,u),R(y \ 1,z,u)) = R(y \ 1,z,u) \ (R(y,z,u) \ x).
L(x,R(y \ 1,z,u),L(y \ 1,z,u)) = R(y \ 1,z,u) \ (R(y,z,u) \ x).
L(x,L(y \ 1,z,u),L(y \ 1,z,u)) = R(y \ 1,z,u) \ (R(y,z,u) \ x).
L(x,(R(y \ 1,z,u) \ (R(y,z,u) \ w)) * L(y \ 1,z,u),v5) = L(x,(L(y \ 1,z,u) \ 1) \ w,v5).
a(x * y,z,a(z,x,y)) \ R(z,x,y) = z * L(z \ R(z,x,y),z,x * y).
a(x * y,z,a(z,x,y)) \ R(z,x,y) = z * a(z,x,y).
R(a(x,x,y),y,L(z,y,a(x,x,y))) = (z * y) * (L(z * y,y,a(x,x,y)) \ a(x,x,y)).
(x * y) * (L(x * y,y,a(z,z,y)) \ a(z,z,y)) = R(a(z,z,y),y,L(x,y,a(z,z,y))).
L(x,L(y,z,u),a(y,w,v5)) = L(x,a(y,w,v5),R(y,z,u)).
L(x,a(y,z,u),L(y,w,v5)) = L(x,L(y,w,v5),a(y,z,u)).
L(x,L(y,z,u),a(y,w,v5)) = L(x,a(y,w,v5),L(y,z,u)).
R((1 / L(x,y,z)) / (L(x,y,z) \ x),x \ L(x,u,w),(x \ L(x,u,w)) \ 1) = 1 / x.
a(x * L((x \ y) * K(z,u),x,w),v5,v6) = a(w * (x * ((w * x) \ y)),v5,v6).
a(x * L(x \ y,x,z),u,w) = a(z * (x * ((z * x) \ y)),u,w).
((x * y) \ (x * ((y * z) * R((y * z) \ y,u,u)))) * u = L(u,u,L(z,y,x)).
((x * y) \ (x * (y * (R(z,u,u) \ z)))) * u = L(u,u,L(z,y,x)).
L(R(x,y,y) \ x,z,u) * y = L(y,y,L(x,z,u)).
L(x,x,L(y,z,u)) = x * L(R(y,x,x) \ y,z,u).
x * L(R(y,x,x) \ y,z,u) = L(x,x,L(y,z,u)).
x * L(x \ L(x,x,y),z,u) = L(x,x,L(y,z,u)).
x \ L(x,x,L(y,z,u)) = L(x \ L(x,x,y),z,u).
L(x \ L(x,x,y),z,u) = x \ L(x,x,L(y,z,u)).
x * y != L(x,x,L(z,u,w)) | y = R(x \ L(x,x,z),u,w).
L(x \ L(x,x,y),z,u) = R(x \ L(x,x,y),z,u).
x * L(a(x,x,a(y,z,u)),w,v5) = L(x,x,L(a(y,z,u),w,v5)).
(x * y) * L((x * y) \ a(z,z,y),y,a(z,z,y)) = R(a(z,z,y),y,L(x,y,a(z,z,y))).
R((1 / L(x,y,z)) / ((x \ L(x,y,z)) \ 1),x \ L(x,u,w),(x \ L(x,u,w)) \ 1) = 1 / x.
R(a(x,x,y),y,L(z,y,a(x,x,y))) = z * (y * L(y \ (z \ a(x,x,y)),y,a(x,x,y))).
x * (y * L(y \ (x \ a(z,z,y)),y,a(z,z,y))) = R(a(z,z,y),y,L(x,y,a(z,z,y))).
x * L(y * (y \ (x \ a(z,z,y))),y,a(z,z,y)) = R(a(z,z,y),y,L(x,y,a(z,z,y))).
x * L(x \ a(y,y,z),z,a(y,y,z)) = R(a(y,y,z),z,L(x,z,a(y,y,z))).
R(a(x,x,y),y,L(z,y,a(x,x,y))) = z * L(z \ a(x,x,y),y,a(x,x,y)).
(((x \ L(x,y,z)) * u) * ((x \ L(x,y,z)) \ 1)) / ((x \ L(x,y,z)) * u) = K((u / x) * L(x,y,z),(x \ L(x,y,z)) \ 1) / (x \ L(x,y,z)).
R(R((x * x) \ R(x * x,y,z),u,x),R(x * x,u,x),y * z) = a(x * x,y,z).
a(x * x,y,z) = R(R((x * x) \ R(x * x,y,z),u,x),x * x,y * z).
R(R((x * x) \ R(x * x,y,z),u,x),x * x,y * z) = a(x * x,y,z).
a(x * x,y,z) = R(a(x * x,y,z),u,x).
R(a(x * x,y,z),u,x) = a(x * x,y,z).
a(a(x * x,y,z),u,x) = R(a(x * x,y,z) \ a(x * x,y,z),a(x * x,y,z),u * x).
R(a(x * x,y,z) \ a(x * x,y,z),a(x * x,y,z),u * x) = a(a(x * x,y,z),u,x).
(x * ((y * x) \ 1)) / ((y * x) * ((y * x) \ 1)) = R(y \ 1,x,x \ (y \ 1)).
(x * ((y * x) \ 1)) / 1 = R(y \ 1,x,x \ (y \ 1)).
R(x \ 1,y,y \ (x \ 1)) = (y * ((x * y) \ 1)) / 1.
R(x \ 1,y,y \ (x \ 1)) = y * ((x * y) \ 1).
x * (y * ((x * y) \ 1)) = R(x,y,y \ (x \ 1)) \ x.
R(x,y,y \ (x \ 1)) \ x = x * (y * ((x * y) \ 1)).
(x * ((y * x) \ 1)) \ (y \ 1) = a(y,x,x \ (y \ 1)).
R((1 / x) \ 1,y / (x \ 1),(y / (x \ 1)) \ ((1 / x) \ 1)) = (y / (x \ 1)) * (((x \ 1) * (y / T(x \ 1,x))) \ 1).
a(x,L(y \ 1,z,z \ (y \ 1)),u) = a(x,z * ((y * z) \ 1),u).
a(x,y,L(z \ 1,u,u \ (z \ 1))) = a(x,y,u * ((z * u) \ 1)).
R(x \ 1,y / (x \ 1),(y / (x \ 1)) \ ((x \ 1) \ 1)) \ (x \ 1) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
a(x,y,y \ (x \ 1)) = a(x,y,(x * y) \ 1).
a(x,y,(x * y) \ 1) = a(x,y,y \ (x \ 1)).
a(x,x \ y,y \ 1) = a(x,x \ y,(x \ y) \ (x \ 1)).
a(x,x \ y,(x \ y) \ (x \ 1)) = a(x,x \ y,y \ 1).
a(x \ K(y,x),z,((x \ K(y,x)) * z) \ 1) = a(x \ K(y,x),z,z \ T(T(x,y),x \ 1)).
a(x \ y,x,x \ ((x \ y) \ 1)) = a(x \ y,x,y \ 1).
a(x,x \ y,y \ 1) = y * ((x \ y) \ (x \ 1)).
x * ((y \ x) \ (y \ 1)) = a(y,y \ x,x \ 1).
x * (((1 / y) \ x) \ y) = a(y \ 1,(y \ 1) \ x,x \ 1).
a(x \ 1,(x \ 1) \ y,y \ 1) = y * (((1 / x) \ y) \ x).
a(x \ y,x,y \ 1) = y * (x \ ((y / x) \ 1)).
x * (y \ ((x / y) \ 1)) = a(y \ x,y,x \ 1).
x \ a(y \ x,y,x \ 1) = y \ ((x / y) \ 1).
x \ a((y * (z / (y * z))) \ x,y * (z / (y * z)),x \ 1) = (y * (z / (y * z))) \ (((y * (z / (y * z))) \ x) \ 1).
T(x,T(y,T(T(z,u),w) * v5) / T(T(T(z,v5),u),w)) = T(x,T(T(T(z,u),w) \ y,v5)).
T(x,T(y,T(z,u * w) * v5) / T(T(T(z,v5),w),u)) = T(x,T(T(T(z,w),u) \ y,v5)).
T(x,T(T(T(y,z),u) \ w,v5)) = T(x,T(w,T(y,u * z) * v5) / T(T(y,v5),z * u)).
T(x,T(y,T(z,u * w) * v5) / T(T(z,v5),w * u)) = T(x,T(T(T(z,w),u) \ y,v5)).
T(x,T(T(T(y,z),u) \ w,v5)) = T(x,T(w,T(y,u * z) * v5) / T(y,v5 * (z * u))).
T(x,T(y,T(z,u * w) * v5) / T(z,v5 * (w * u))) = T(x,T(T(T(z,w),u) \ y,v5)).
T(x,T(T(T(y,z),u) \ w,v5)) = T(x,T(w,y * v5) / T(y,v5 * (z * u))).
T(x,T(y,z * u) / T(z,u * (w * v5))) = T(x,T(T(T(z,w),v5) \ y,u)).
T(x,T(T(T(y,z),u) \ w,v5)) = T(x,T(y,v5 * (z * u)) \ T(w,v5)).
T(x,T(y,z * (u * w)) \ T(v5,z)) = T(x,T(T(T(y,u),w) \ v5,z)).
T(x,T(T(T(y,z),u) \ w,v5)) = T(x,T(T(y,z * u) \ w,v5)).
T(x,T(T(y,z * u) \ w,z)) = T(x,T(y,u) \ T(w,z)).
(x \ y) * R(K(y,z) * ((x \ T(y,z)) \ 1),u,w) = R(x \ T(y,z),u,w) \ (x \ T(y,z)).
((x \ (x / y)) \ 1) * K(z,T(u,T(y \ 1,y))) = 1 / (T(x \ (x / y),y) * K(u,z)).
((x \ (x / y)) \ 1) * K(z,T(u,y \ 1)) = 1 / (T(x \ (x / y),y) * K(u,z)).
((x \ (x / y)) \ 1) * K(z,T(u,y)) = 1 / (T(x \ (x / y),y) * K(u,z)).
1 / (T(x \ (x / y),y) * K(z,u)) = ((x \ (x / y)) \ 1) * K(u,T(z,y)).
1 / (T(x \ (x / y),y) * K(z,u)) = (x \ (x / y)) \ K(u,T(z,y)).
(x \ (x / y)) \ K(z,T(u,y)) = K(z,u) / T(x \ (x / y),y).
K(x,y) / T(z \ (z / u),u) = (z \ (z / u)) \ K(x,T(y,u)).
K(x,y) / T(z \ (z / u),u) = T((z \ (z / u)) \ K(x,y),u).
(x * y) / T((y * x) * (y \ 1),y * K(x,y)) = ((x * y) * (y \ K(y,x))) \ (x * y).
(x * y) / T((y * x) * (y \ 1),T(y,x)) = ((x * y) * (y \ K(y,x))) \ (x * y).
(x * y) / R(T(x,K(x,y)),y,y \ 1) = ((x * y) * (y \ K(y,x))) \ (x * y).
(x * y) / R(x,y,y \ 1) = ((x * y) * (y \ K(y,x))) \ (x * y).
((x * y) * (y \ K(y,x))) \ (x * y) = (x * y) / R(x,y,y \ 1).
((x * y) * (x \ 1)) \ (y * x) = (y * x) / R(y,x,x \ 1).
L(R(x * K(x,y),x,y),z,u) * (y * x) = (y * x) * L(y \ (((x * x) * y) / x),z,u).
(x * y) * L(x \ (((y * y) * x) / y),z,u) = L(R(y * K(y,x),y,x),z,u) * (x * y).
(x * y) * L(x \ (((y * y) * x) / y),z,u) = L(R(T(y,x),y,x),z,u) * (x * y).
(x * y) * L(x \ (((y * y) * x) / y),z,u) = (L(T(y,x),z,u) * y) * T(x,y).
(x * y) * L(x \ (((y * y) * x) / y),z,u) = (y * L(T(y,x),z,u)) * T(x,y).
(x * y) * L(x \ (((y * y) * x) / y),z,u) = (y * L(y,z,u)) * x.
T(x,K(y \ z,T(u,y)) * (((z \ y) \ 1) \ z)) = T(x,z / T(T((z \ y) \ 1,y),u)).
T(x,K(y / z,u) * (((y \ z) \ 1) \ y)) = T(x,y / T(T((y \ z) \ 1,z),u)).
T(x,((y \ z) \ K(u,y / z)) \ y) = T(x,y / T(T((y \ z) \ 1,z),u)).
T(x,y / T(T((y \ z) \ 1,z),u)) = T(x,K(y / z,u) * ((y \ z) * y)).
T(x,y / T(T((y \ z) \ 1,z),u)) = T(x,(y \ z) * (y * K(z \ y,u))).
T(x,y / T(T((y \ z) \ 1,z),u)) = T(x,T(K(z \ y,u) * z,y)).
T(x,y / T(T((y \ z) \ 1,z),u)) = T(x,T(z * K(z \ y,u),y)).
T(x,y / T(T((y \ z) \ 1,z),u)) = T(x,T(z \ y,u) \ y).
T(x,T((y \ z) \ 1,u) \ y) = T(x,T(z \ y,u) \ y).
T(x,T(y \ z,u) \ z) = T(x,T(z \ y,u) * z).
T(x,T(y \ z,u) \ z) = T(x,z * T(y / z,u)).
T(x,y * T(z / y,z * u)) = T(x,T(y / z,u) \ y).
T(x,T(y / z,u) \ y) = T(x,y * T(y \ z,u)).
((x * L(y,z,y)) * u) / (y * (T(x,y) * (a(y,z,y) \ u))) = a(y,y \ (x * L(y,z,y)),u).
(L(x,y,z) \ x) * R(x \ L(x,y,z),u,w) = L(x,y,z) \ (x * R(x \ L(x,y,z),u,w)).
L(x,y,z) \ (x * R(x \ L(x,y,z),u,w)) = (L(x,y,z) \ x) * R(x \ L(x,y,z),u,w).
(L(x,y,z) \ x) \ L(L(x,y,z) \ x,u,w) = L(x,y,z) * (x \ L(L(x,y,z) \ x,u,w)).
1 / T((a(x,y,z) / (u \ 1)) \ u,a(x,y,z)) = ((a(x,y,z) / (u \ 1)) \ u) \ 1.
1 / ((a(x,y,z) / (u \ 1)) \ u) = ((a(x,y,z) / (u \ 1)) \ u) \ 1.
a(x,x,y) * (z * T(x * y,z * a(x,x,y))) = (x * y) * (z * a(x,x,y)).
a(x,x,y) * (z * T(x * y,z)) = (x * y) * (z * a(x,x,y)).
a(x,x,y) * ((x * y) * z) = (x * y) * (z * a(x,x,y)).
x * (y * z) != y * (z * a(u,w,v5)) | x = L(a(u,w,v5),z,y).
a(x,x,y) = L(a(x,x,y),z,x * y).
L(a(x,x,y),z,x * y) = a(x,x,y).
L(a(x,x,y),z,u) = L(L(a(x,x,y),z,u),w,x * y).
L(L(a(x,x,y),z,u),w,x * y) = L(a(x,x,y),z,u).
R(x,y,(z \ (((z \ 1) \ u) * K(z * u,z))) \ w) = R(x,y,((z * z) \ ((z * u) * z)) \ w).
(1 / x) \ (((1 / x) / x) * (x * y)) = L(L(y,x,x \ 1),(1 / x) \ 1,1 / x).
L(L(x,y,y \ 1),(1 / y) \ 1,1 / y) = (1 / y) \ (((1 / y) / y) * (y * x)).
L(L(x,y,y \ 1),(1 / y) \ 1,1 / y) = L(x,y,y \ (1 / y)).
L(L(x,y,y \ 1),(1 / y) \ 1,1 / y) = L(x,y,y \ (y \ 1)).
L(L(x,y,y \ 1),y,1 / y) = L(x,y,y \ (y \ 1)).
L(x,y,y \ (y \ 1)) = L(L(x,y,y \ 1),y,y \ 1).
L(L(x,y,y \ 1),y,y \ 1) = L(x,y,y \ (y \ 1)).
L(x,y,y \ (y \ 1)) = (1 / y) * (R(y,y,x) * x).
(1 / x) * (R(x,x,y) * y) = L(y,x,x \ (x \ 1)).
(1 / x) * ((y / (x * ((x * x) \ y))) * ((x * x) \ y)) = L((x * x) \ y,x,x \ (x \ 1)).
L(x,R(y,y,x),1 / y) * (x \ ((1 / y) * R(y,y,x))) = L(x,y,y \ (y \ 1)) / x.
L(x,R(y,y,x),y \ 1) * (x \ ((1 / y) * R(y,y,x))) = L(x,y,y \ (y \ 1)) / x.
L(x,L(y,y,x),y \ 1) * (x \ ((1 / y) * R(y,y,x))) = L(x,y,y \ (y \ 1)) / x.
R(1,a(x * x,y,z),u * x) = a(a(x * x,y,z),u,x).
a(a(x * x,y,z),u,x) = 1.
L(x,y,a(x * x,z,u)) = x.
x * (a(x * x,y,z) * u) = (x * u) * a(x * x,y,z).
(x * y) * a(x * x,z,u) = x * (a(x * x,z,u) * y).
a(x * x,y,z) * (x * u) = x * (a(x * x,y,z) * u).
a(x \ K(y,x),z,((x \ 1) * z) \ K(x,y)) = a(x \ K(y,x),z,z \ T(T(x,y),x \ 1)).
(x \ y) * R((x \ y) \ 1,z,u) = R(x \ T(y,w),z,u) \ (x \ T(y,w)).
R(x \ T(y,z),u,w) \ (x \ T(y,z)) = (x \ y) * R((x \ y) \ 1,u,w).
R(x \ T(y,z),u,w) \ (x \ T(y,z)) = R(x \ y,u,w) \ (x \ y).
((x * L(y,z,y)) * u) / (L(y,z,y) * (T(x,y) * u)) = a(y,y \ (x * L(y,z,y)),u).
((x * L(y,z,y)) * u) / (L(y,z,y) * (T(x,y) * u)) = a(y,T(a(y,z,y) \ x,y),u).
((x * L(y,z,y)) * u) / (L(y,z,y) * (T(x,y) * u)) = a(y,a(y,z,y) \ x,u).
((x * L(y,z,y)) * u) / (L(y,z,y) * (T(x,y) * u)) = a(y,x,u).
(L(x,y,z) \ x) * R(x \ L(x,y,z),u,w) = x * (L(x,y,z) \ R(x \ L(x,y,z),u,w)).
R(x,y,(z \ T((z \ 1) \ u,z)) \ w) = R(x,y,((z * z) \ ((z * u) * z)) \ w).
R(x,y,((z * z) \ ((z * u) * z)) \ w) = R(x,y,(z \ T((z \ 1) \ u,z)) \ w).
R(x,y,((z * z) \ ((z * u) * z)) \ w) = R(x,y,(z \ ((z \ 1) \ u)) \ w).
R(x,y,((z * z) \ ((z * u) * z)) \ w) = R(x,y,L(u,z,z) \ w).
R(x,y,L(z,u,u) \ w) = R(x,y,R(z,u,u) \ w).
R(x,y,L(z \ u,u,u)) = R(x,y,L(z,u,u) \ u).
a(x \ K(y,x),z,z \ T(T(x,y),x \ 1)) = a(x \ K(y,x),z,((x \ 1) * z) \ 1).
x * (L(x,y,z) \ R(x \ L(x,y,z),u,w)) = R(x \ L(x,y,z),u,w) * (L(x,y,z) \ x).
R(x \ L(x,y,z),u,w) * (L(x,y,z) \ x) = x * (L(x,y,z) \ R(x \ L(x,y,z),u,w)).
L(x,y,z) \ (x * (a(x,u,x) \ w)) = x * (R(L(x,y,z),u,L(x,y,z)) \ w).
L(x,y,z) \ (L(x,u,x) * w) = x * (R(L(x,y,z),u,L(x,y,z)) \ w).
x * (R(L(x,y,z),u,L(x,y,z)) \ w) = L(x,y,z) \ (L(x,u,x) * w).
x * (L(R(x,y,L(x,z,u)),z,u) \ w) = L(x,z,u) \ (L(x,y,x) * w).
x * (L(R(x,y,x),z,u) \ w) = L(x,z,u) \ (L(x,y,x) * w).
L(x,y,z) \ (L(x,u,x) * w) = x * (L(R(x,u,x),y,z) \ w).
K(x,y) * (x \ (y * (a(z,u,w) \ x))) = x \ ((a(z,u,w) \ x) * y).
(x * y) / T(x * (z \ L(z,u,w)),(L(z,u,w) \ z) * y) = ((z \ L(z,u,w)) * x) \ (x * y).
a(x,y,x) \ (R(z,z,R(x,y,x)) \ z) = x / L(R(x,y,x),z,(x * z) \ L(R(x,y,x),y,x)).
((x / y) / x) \ ((((x / y) / x) / (1 / y)) * z) = L((1 / y) \ z,1 / y,(x \ (x / y)) * y).
L((1 / x) \ y,1 / x,(z \ (z / x)) * x) = ((z / x) / z) \ ((((z / x) / z) / (1 / x)) * y).
(R(R(x,x,y),R(x,x,y),z) \ R(T(x,z),x,y)) / ((y / (x * y)) \ 1) = z / (z * R(x,x,y)).
L(x,y,z * (T(u,w) * R((w \ v5) \ v5,u,u \ 1))) = L(x,y,(u * ((u * w) * (u \ 1))) * z).
(x \ (y \ (y / (1 / x)))) \ ((y / (1 / x)) \ y) = 1 / L(x,x \ 1,x * y).
(x \ (y \ (y / (1 / x)))) \ (1 / x) = 1 / L(x,x \ 1,x * y).
(K(x * y,z) * K(y,x)) \ u = y * ((x \ T(y * x,z)) \ u).
a(x,(L(y,z,y) \ ((u / (L(y,z,y) * u)) \ 1)) * y,w) = a(x,R(L(y,z,y),y,u),w).
a(x,(L(y,z,y) \ ((u / (L(y,z,y) * u)) \ 1)) * y,w) = a(x,L(R(y,y,u),z,y),w).
a(x,(L(y,z,y) \ ((u / (L(y,z,y) * u)) \ 1)) * y,w) = a(x,R(y,y,u),w).
a(x,(y \ ((z / (L(y,u,y) * z)) \ 1)) * R(y,u,y),w) = a(x,R(y,y,z),w).
a(x,R(y,y,z),u) = a(x,(y \ ((z / (L(y,w,y) * z)) \ 1)) * y,u).
a(x,(y \ ((z / (L(y,u,y) * z)) \ 1)) * y,w) = a(x,R(y,y,z),w).
a(x,R(y,y,z),u) = a(x,(z / (L(y,w,y) * z)) \ 1,u).
a(x,(y / (L(z,u,z) * y)) \ 1,w) = a(x,R(z,z,y),w).
a(x,R(y,y,z),u) = a(x,((L(y,w,y) * z) \ z) \ 1,u).
a(x,((L(y,z,y) * u) \ u) \ 1,w) = a(x,R(y,y,u),w).
a((((x \ y) * x) / (z * ((x \ y) * x))) * u,w,v5) = a(((v6 \ u) * v6) * R(z \ 1,z,y),w,v5).
a(x,y,(((z \ u) * z) / (w * ((z \ u) * z))) * v5) = a(x,y,((v6 \ v5) * v6) * R(w \ 1,w,u)).
(1 / x) * T(((1 / x) \ y) / y,y) = (y / (L(y,x,x) * x)) * (((1 / x) \ y) / y).
(x / (L(x,y,y) * y)) * (((1 / y) \ x) / x) = (1 / y) * T(((1 / y) \ x) / x,x).
(x / (L(x,y,y) * y)) * (((1 / y) \ x) / x) = (1 / y) * (x \ ((1 / y) \ x)).
(x / (L(x,y,y) * y)) * (((1 / y) \ x) / x) = y \ (x \ ((1 / y) \ x)).
(K(x,y) / x) * (((1 / x) \ y) / y) = x \ (y \ ((1 / x) \ y)).
R(((x * x) * (x \ y)) / x,x,x) \ ((x * x) * (x \ y)) = L(x,x,(x \ 1) \ ((1 / x) * y)).
R(((x * x) * (x \ y)) / x,x,x) \ ((x * x) * (x \ y)) = L(x,x,K(x,x \ 1) * y).
R(((x * x) * (x \ y)) / x,x,x) \ ((x * x) * (x \ y)) = L(x,x,y).
L(x,x,y) = L(L(x,x,x),x,x \ y).
L(L(x,x,x),x,x \ y) = L(x,x,y).
L(L(x,x,x),x,y) = L(x,x,x * y).
L(x,x,y) \ L(x,x,x) = L(x,x,x \ y) \ x.
L(x,y,z * L(u,u,w)) = L(x,y,z * L(u,u,u \ w)).
L(x,y,z * L(u,u,u \ w)) = L(x,y,z * L(u,u,w)).
a(x,y,L(z,z,u)) = a(x,y,L(z,z,z \ u)).
a(x,y,L(z,z,z \ u)) = a(x,y,L(z,z,u)).
L(L(x,x,y),x,x \ 1) = L(x,x,x \ y).
L(x,x,x * y) = L(L(x,x,y),x,x).
L(L(x,x,y),x,x) = L(x,x,x * y).
(x * y) * L(y,y,y * x) = x * (y * L(y,y,y)).
a(L(x,x,x * y),z,u) = a(L(x,x,y),z,u).
a(x,y,L(z,z,z * u)) = a(x,y,L(z,z,u)).
a(x,y,L(z,z,u \ 1)) = a(x,y,L(z,z,u \ z)).
a(L(x,x,y * x),z,u) = a(L(x,x,y),z,u).
(x * y) * L(y,y,y * x) = x * ((1 / y) \ y).
((x * y) * (y * y)) / y = x * ((1 / y) \ y).
(x * ((1 / y) \ y)) * y = (x * y) * (y * y).
L(x,y,(z * ((1 / u) \ u)) * w) = L(x,y,(u \ ((z * u) * (u * u))) * w).
L(x,y,(z \ ((u * z) * (z * z))) * w) = L(x,y,(u * ((1 / z) \ z)) * w).
L(x,y,z * L(u,u,w)) = L(x,y,L(u,u,u \ w) * z).
L(x,y,L(z,z,z \ u) * w) = L(x,y,w * L(z,z,u)).
L(x,y,L((z \ u) \ w,z,z \ u)) = L(x,y,(u \ w) * L(z,z,u)).
L(x,y,(z \ ((u * z) * (z * z))) * w) = L(x,y,(u * (z * z)) * w).
L(x,y,(z * u) * L(R(w,v5,v6),z,u)) = L(x,y,((z * u) * a(R(w,v5,v6),z,u)) * L(w,v5,v6)).
L(x,y,((z * u) * a(R(w,v5,v6),z,u)) * L(w,v5,v6)) = L(x,y,(z * u) * L(R(w,v5,v6),z,u)).
a(x,a(y,z,u),R(y,w,v5)) = a(x,R(y,w,v5),a(y,z,u)).
a(x,R(y,z,u),a(y,w,v5)) = a(x,a(y,w,v5),R(y,z,u)).
a(x,L(y,z,u),a(y,w,v5)) = a(x,a(y,w,v5),R(y,z,u)).
a(x,a(y,z,u),L(y,w,v5)) = a(x,L(y,w,v5),a(y,z,u)).
a(x,L(y,z,u),a(y,w,v5)) = a(x,a(y,w,v5),L(y,z,u)).
a(x,L(y,a(y,z,u),x),a(y,z,u)) = L(y,a(y,z,u),x) \ y.
L(L(x,a(x,y,z),u) \ x,x,a(x,w,v5)) = a(u,L(x,a(x,y,z),u),a(x,y,z)).
a(L(x,y,z),a(u,u,x),w) = a(a(u,u,x),L(x,y,z),w).
((1 / (1 / x)) \ (a(y,z,u) \ x)) / (1 / x) = L(a(y,z,u) \ (1 / (1 / x)),1 / x,x \ 1).
L(a(x,y,z) \ (1 / (1 / u)),1 / u,u \ 1) = ((1 / (1 / u)) \ (a(x,y,z) \ u)) / (1 / u).
R((1 / L(x,y,z)) / (1 / (x \ L(x,y,z))),x \ L(x,u,w),(x \ L(x,u,w)) \ 1) = 1 / x.
a(x,y,x) \ (R(z,z,R(x,y,x)) \ z) = x / L(R(x,y,x),z,(x * z) \ x).
a(x,y,x) \ (R(z,z,R(x,y,x)) \ z) = L(x,z,(x * z) \ x) \ L(x,y,x).
L(x,y,(x * y) \ x) \ L(x,z,x) = a(x,z,x) \ (R(y,y,R(x,z,x)) \ y).
L(x,y,(x * y) \ x) \ L(x,z,x) = a(x,z,x) \ (R(y,y,x) \ y).
R(R(x,R(x,x,y),z) \ T(x,z),x,y) / ((y / (x * y)) \ 1) = z / (z * R(x,x,y)).
x / (x * R(y,y,z)) = R((R(y,R(y,y,z),x) \ T(y,x)) / y,y,z).
R((R(x,R(x,x,y),z) \ T(x,z)) / x,x,y) = z / (z * R(x,x,y)).
R((x \ T(x,y)) / R(x,R(x,x,z),y),x,z) = y / (y * R(x,x,z)).
R(K(x,y) / R(x,R(x,x,z),y),x,z) = y / (y * R(x,x,z)).
R(R(K(x,y) / x,R(x,x,z),y),x,z) = y / (y * R(x,x,z)).
R(R(K(x,y) / x,L(x,x,z),y),x,z) = y / (y * R(x,x,z)).
a((((x \ y) * x) / (z * ((x \ y) * x))) * u,w,v5) = a(R(z \ 1,z,y) * u,w,v5).
a(R(x \ 1,x,y) * z,u,w) = a((((v5 \ y) * v5) / (x * ((v5 \ y) * v5))) * z,u,w).
a(L((x \ 1) * y,x,y),z,u) = a((((w \ y) * w) / (x * ((w \ y) * w))) * y,z,u).
a(x,y,(((z \ u) * z) / (w * ((z \ u) * z))) * v5) = a(x,y,R(w \ 1,w,u) * v5).
a(x,y,R(z \ 1,z,u) * w) = a(x,y,(((v5 \ u) * v5) / (z * ((v5 \ u) * v5))) * w).
a(x,y,R((z \ 1) * u,z,u)) = a(x,y,(((w \ u) * w) / (z * ((w \ u) * w))) * u).
L(x,y,((z * u) * a(R(w,v5,v6),z,u)) * L(w,v5,v6)) = L(x,y,u * (T(z,u) * R(w,v5,v6))).
L(x,y,((z * u) * a(R(w,v5,v6),z,u)) * L(w,v5,v6)) = L(x,y,u * (z * R(w,v5,v6))).
L(x,y,((z * u) * a(L(w,v5,v6),z,u)) * L(w,v5,v6)) = L(x,y,u * (z * R(w,v5,v6))).
L(x,y,(z * u) * R(L(w,v5,v6),z,u)) = L(x,y,u * (z * R(w,v5,v6))).
L(x,y,(z * u) * L(L(w,z,u),v5,v6)) = L(x,y,u * (z * R(w,v5,v6))).
L(x,y,z * (T(u,z) * L(w,v5,v6))) = L(x,y,z * (u * R(w,v5,v6))).
L(x,y,z * (u * R(w,v5,v6))) = L(x,y,z * (u * L(w,v5,v6))).
L(x,y,z * (u * L(w,v5,v6))) = L(x,y,z * (u * R(w,v5,v6))).
L(x,y,z * (T(u,w) * L((w \ v5) \ v5,u,u \ 1))) = L(x,y,(u * ((u * w) * (u \ 1))) * z).
((1 / (1 / x)) \ (a(y,z,u) \ x)) / (1 / x) = L(a(y,z,u) \ (1 / (1 / x)),x \ 1,x \ 1).
L(a(x,y,z) \ (1 / (1 / u)),u \ 1,u \ 1) = ((1 / (1 / u)) \ (a(x,y,z) \ u)) / (1 / u).
1 / x = (1 / L(x,y,z)) * (x \ L(x,y,z)).
(1 / L(x,y,z)) * (x \ L(x,y,z)) = 1 / x.
(x \ L(x,y,z)) \ (1 / x) = 1 / L(x,y,z).
L(x,y,z * (u \ ((u * T(u,w)) * ((w \ v5) \ v5)))) = L(x,y,(u * ((u * w) * (u \ 1))) * z).
L(x,y,(z * ((z * u) * (z \ 1))) * w) = L(x,y,w * (z \ (u * (z * T(z,u))))).
L(x,y,(z * ((z * u) * (z \ 1))) * w) = L(x,y,w * T(L(z,z,u) * u,z)).
L(x,y,(z * ((z * u) * (z \ 1))) * w) = L(x,y,w * (L(z,z,u) * u)).
L(x,y,z * (L(u,u,w) * w)) = L(x,y,z * L(u * w,u,u \ 1)).
L(x,y,z * L(u * w,u,u \ 1)) = L(x,y,z * (L(u,u,w) * w)).
((1 / (1 / x)) \ (a(y,z,u) \ x)) / (1 / x) = (x \ 1) \ (x \ (a(y,z,u) \ (1 / (1 / x)))).
((1 / (1 / x)) \ (a(y,z,u) \ x)) / (1 / x) = (1 / x) \ (x \ (a(y,z,u) \ x)).
(1 / x) \ (x \ (a(y,z,u) \ x)) = (x \ (a(y,z,u) \ x)) / (x \ 1).
(x \ (a(y,z,u) \ x)) / (x \ 1) = (1 / x) \ (x \ (a(y,z,u) \ x)).
T(((x * y) \ x) * K(z,y \ 1),((x * y) \ x) * z) = L(L(y \ 1,y,x),z,(x * y) \ x).
T((x * y) \ T(x,y \ 1),((x * y) \ x) * x) = L(L(y \ 1,y,x),x,(x * y) \ x).
R(x,y / (z * y),(y / (z * y)) \ K(z,u)) = (x * (y / (z * y))) * (R(T(z,u),z,y) * K(u,z)).
L(L(x \ 1,x,y),x * y,L(x \ 1,x,y)) = T(((x * y) / x) / (x * y),(x * y) / x).
L(L(x \ 1,x,y),x * y,L(x \ 1,x,y)) = T(y / (y * x),(x * y) / x).
L(L(x \ 1,x,y),x * y,L(x \ 1,x,y)) = T(y / (y * x),T(y,x)).
L(L(x \ 1,x,y),x * y,L(x \ 1,x,y)) = T(y / (y * x),y).
T(x / (x * y),x) = L(L(y \ 1,y * x,y \ 1),y,x).
T(x / (x * y),x) = L(R(1 / y,x,y),y,x).
x * L(R(1 / y,x,y),y,x) = (x / (x * y)) * x.
T(x / (x * T(y,y \ 1)),x) = L(R(y \ 1,x,T(y,y \ 1)),T(y,y \ 1),x).
T(a(x,y,z) / (a(x,y,z) * u),a(x,y,z)) = L(1 / u,u,a(x,y,z)).
L(1 / x,x,a(y,z,u)) = a(y,z,u) / (a(y,z,u) * x).
L(1 / x,x,a(y,z,u)) \ a(y,z,u) = a(y,z,u) * x.
L((1 / x) \ a(y,z,u),x,a(y,z,u)) = a(y,z,u) * x.
L(a(x,y,z) \ ((1 / u) \ a(x,y,z)),u,a(x,y,z)) = u.
T(T(x / (x * y),y),x) = L(R(y \ 1,x,T(y,y \ 1)),T(y,y \ 1),x).
T(T(x / (x * y),y),x) = L(R(y \ 1,x,y),T(y,y \ 1),x).
T(T(x / (x * y),y),x) = L(R(y \ 1,x,y),y,x).
T(T(x / (x * y),y),x) = T(y * x,y) \ x.
T(T((x / y) / x,y),y \ x) = T(y * (y \ x),y) \ (y \ x).
T(T((x / y) / x,y),y \ x) = T(x,y) \ (y \ x).
T((x \ K(y,x \ 1)) \ T(y,x \ K(y,x \ 1)),z) = T(T(y / (x \ 1),z),x \ K(y,x)).
T((x \ 1) \ y,z) = T(T(y / (x \ 1),z),x \ K(y,x)).
T(T(x / (y \ 1),z),y \ K(x,y)) = T((y \ 1) \ x,z).
T((x \ 1) \ y,y) = (x \ K(y,x * y)) \ y.
(x \ K(y,x * y)) \ y = T((x \ 1) \ y,y).
(x \ K(y,y * x)) \ y = T((x \ 1) \ y,y).
T(T(x,T(y \ 1,z)) / (y * x),T(x,z)) = ((z \ x) * z) / (y * ((z \ x) * z)).
((x \ y) * x) / (z * ((x \ y) * x)) = y / (z * y).
a(L((x \ 1) * y,x,y),z,u) = a((y / (x * y)) * y,z,u).
a(x,y,R((z \ 1) * u,z,u)) = a(x,y,(u / (z * u)) * u).
a(L((x \ 1) * y,x,y),z,u) = a(((x * y) \ y) * y,z,u).
a(x,y,R((z \ 1) * u,z,u)) = a(x,y,((z * u) \ u) * u).
(x \ R(x,y,z)) * R((x \ R(x,y,z)) \ u,w,x \ R(x,y,z)) = R(u,w,x \ R(x,y,z)).
L(x,y,y \ R(y,z,u)) = (y \ R(y,z,u)) * R((y \ R(y,z,u)) \ x,y,y \ R(y,z,u)).
(x \ R(x,y,z)) * R((x \ R(x,y,z)) \ u,x,x \ R(x,y,z)) = L(u,x,x \ R(x,y,z)).
(x \ R(x,y,z)) * L((x \ R(x,y,z)) \ u,x,x \ R(x,y,z)) = L(u,x,x \ R(x,y,z)).
R(x / (y \ R(y,z,u)),T(y,x) \ R(T(y,x),z,u),y) = (y * x) / R(T(y,x),z,u).
R((x \ R(x,y,z)) \ u,T(x,u) \ R(T(x,u),y,z),x) = (x * u) / R(T(x,u),y,z).
R((x \ R(x,y,z)) \ u,x \ R(x,y,z),x) = (x * u) / R(T(x,u),y,z).
(x * y) / R(T(x,y),z,u) = (y * x) / R(x,z,u).
(x * y) / R(y,z,u) = R(y,z,u) \ (y * x).
(((x \ R(x,y,z)) * u) * x) / R(x,y,z) = L(u,x \ R(x,y,z),x).
R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u).
((x * y) * (x \ 1)) \ (x * y) = R(y,x,x \ 1) \ (y * x).
L(R(x,y,z),u,w) \ (L(x,u,w) * v5) = L(x,u,w) * (R(L(x,u,w),y,z) \ v5).
R(x,y,z) \ (x * R(u,y,z)) = x * R(x \ u,y,z).
x * (R(x,y,z) \ a(x,y,z)) = (R(x,y,z) \ x) * a(x,y,z).
(R(x,y,z) \ x) * a(x,y,z) = x * (R(x,y,z) \ a(x,y,z)).
x * (R(x,x,y) \ (x * y)) = x * L(y,x,x).
x * (R(x,y,L(z,y,x)) \ (z * y)) = y * ((x * y) \ (x * (z * y))).
x * (x * (R(x,x,y) \ y)) = x * L(y,x,x).
x * (R(x,x,y) \ y) = L(y,x,x).
K(x,y * (R(y,y,z) \ z)) * ((y * (R(y,y,z) \ z)) / (y * L(z,y,y))) = (y * (R(y,y,z) \ z)) / (y * T(y * (R(y,y,z) \ z),x)).
x \ L(y,x,x) = R(x,x,y) \ y.
R(x,x,y) \ y = x \ L(y,x,x).
(x * x) \ (x * T(y * x,y)) = x * (R(x,x,R(y,x,y)) \ R(y,x,y)).
x * (R(x,x,R(y,x,y)) \ R(y,x,y)) = (x * x) \ (x * T(y * x,y)).
L(x,y,y) * R(y,y,x) = x * y.
((x / (x * y)) \ 1) \ (x * y) = L(x,y,y).
x \ L(x,y,y) = R(y,y,x) \ y.
R(x,x,y) \ x = y \ L(y,x,x).
L(x,y,L(z \ u,z,u)) = L(x,y,z \ L(u,z,z)).
a(L(x \ y,x,y),z,u) = a(x \ L(y,x,x),z,u).
a(x,L(y \ z,y,z),u) = a(x,y \ L(z,y,y),u).
a(x,y,L(z \ u,z,u)) = a(x,y,z \ L(u,z,z)).
L(x,y,y) * (x \ R(y,y,x)) = y.
x * R(y,z,u) != (y \ w) * y | x = R(y,z,u) \ w.
L(x \ y,x,x) = R(x,x,x \ y) \ y.
R(x,x,x \ y) \ y = L(x \ y,x,x).
K(R(x,x,y),y) * (y * x) = R(x,x,y) * L(y,x,x).
R(x,x,y) * L(y,x,x) = K(R(x,x,y),y) * (y * x).
(x \ y) * R(x,x,(1 / x) * y) = ((1 / x) * y) * x.
x * (R(y,y,x) \ y) = L(x,y,y).
x \ (y \ L(y,x,x)) = R(x \ 1,x,y).
x \ L(x,y,y) = (x / (y * x)) * y.
(x / (y * x)) * y = x \ L(x,y,y).
(x \ L(x,y,y)) / y = R(1 / y,y,x).
(x \ L(x,y,y)) \ y = R(y,y,x).
(x \ L(x,y,y)) * R(y,y,x) = y.
(x \ L(x,y,y)) * z = z * (R(y,y,x) \ y).
(R(x,x,y) \ x) * y = L(y,x,x).
a(x,y,x) \ (R(z,z,x) \ z) = x \ L(L(x,y,x),z,z).
L(x,(y \ ((L(y,z,z) \ u) \ u)) * w,v5) = L(x,(R(z,z,y) \ z) * w,v5).
L(x,(R(y,y,z) \ y) * u,w) = L(x,(z \ ((L(z,y,y) \ v5) \ v5)) * u,w).
L(x,y,y) \ y = x \ R(y,y,x).
L(x,y,y) != x * z | R(y,y,x) \ y = z.
(x * y) * R((x * y) \ x,y,x) = L(x,y,y).
R(x \ L(x,y,y),z,u) \ y = R(y,y,R(x,z,u)).
L(x,y,R(z,z,u) \ z) = L(x,y,u \ L(u,z,z)).
R(R(x,x,y) \ x,z,u) = (R(y \ L(y,x,x),z,u) \ x) \ x.
(R(x \ L(x,y,y),z,u) \ y) \ y = R(R(y,y,x) \ y,z,u).
R((x \ L(x,y,y)) * y,y,x) = y.
(x \ R(x,x,y)) \ y = L(y,x,x).
L(x / y,z,z) \ z = (x / y) \ R(z,z,y \ x).
a(L(x \ y,y,x),z,u) = a(L(x,y,y) \ y,z,u).
R(x,y,L(z \ u,u,z)) = R(x,y,L(z,u,u) \ u).
a(x,y,L(z \ u,u,z)) = a(x,y,L(z,u,u) \ u).
R((R(x,x,y) \ x) * x,x,y) = x.
L(x,y,y) \ x = y \ R(y,y,x).
a(x,x,y) \ y = L(y,x,x).
a(x,x,y) * L(y,x,x) = y.
L(x,y,y) * a(y,y,x) = x.
L(x,y,y) \ x = a(y,y,x).
a(x,x,y) \ L(y,z,x) = L(L(y,z,x),x,x).
a(x,a(y,y,z),L(z,y,y)) = (x * z) \ ((x * a(y,y,z)) * L(z,y,y)).
(x * y) \ ((x * a(z,z,y)) * L(y,z,z)) = a(x,a(z,z,y),L(y,z,z)).
L(x,L(y,z,z),a(z,z,y)) = y \ (a(z,z,y) * (L(y,z,z) * x)).
x \ (a(y,y,x) * (L(x,y,y) * z)) = L(z,L(x,y,y),a(y,y,x)).
x * L(y,L(x,z,z),a(z,z,x)) = (L(x,z,z) * y) * a(z,z,x).
(x * y) \ (a(z,z,y) * (x * L(y,z,z))) = a(x,L(y,z,z),a(z,z,y)).
x * L(y,a(z,z,x),L(x,z,z)) = L(x,z,z) * (a(z,z,x) * y).
L(x * a(y,y,x),y,y) = x.
x \ a(y,y,x) = L(x,y,y) \ 1.
L(x,y,y) \ 1 = x \ a(y,y,x).
a(x,L(y,z,z),a(z,z,y)) * (x * y) = (x * L(y,z,z)) * (L(y,z,z) \ y).
a(a(x,x,y),z,u) = a(R(y,x,x) \ y,z,u).
a(R(x,y,y) \ x,z,u) = a(a(y,y,x),z,u).
K(x,y) * a(z,z,y) = L(T(y,x),z,z) \ y.
L(T(x,y),z,z) \ x = K(y,x) * a(z,z,x).
L(L(x,y,y) \ x,z,x \ L(x,y,y)) = a(y,y,x).
a(x,x,y) \ K(z,u) = K(z,u) * (y \ L(y,x,x)).
K(x,y) * (z \ L(z,u,u)) = a(u,u,z) \ K(x,y).
a(x,x,y) \ R(y,z,u) = (y \ L(y,x,x)) * R(y,z,u).
(x \ L(x,y,y)) * R(x,z,u) = a(y,y,x) \ R(x,z,u).
L(x,y,L(z,x,x) \ z) = x.
x * (L(y,x,x) \ y) = R(x,x,y).
x \ ((y / (x * y)) \ 1) = L(y,x,x) \ y.
L(x \ y,x,x) \ (x \ y) = x \ (((x \ y) / y) \ 1).
(x \ (L(y,x,x) \ y)) * x = (x \ 1) * R(x,x,y).
((x \ 1) \ (x \ y)) \ y = a(x \ 1,x \ 1,y).
L(x * y,z,L(y,x,x) \ y) = x * y.
a(x,y,a(z,z,u)) = a(x,y,R(u,z,z) \ u).
a(x,y,R(z,u,u) \ z) = a(x,y,a(u,u,z)).
L(x,y,z) = L(L(x * a(u,u,x),y,z),u,u).
L(L(x * a(y,y,x),z,u),y,y) = L(x,z,u).
L(a(x,x,y) * y,x,x) = y.
L(x,y,z * L(u,w,w)) = L(x,y,L((z * a(w,w,z)) * u,w,w)).
L(x,y,L((z * a(u,u,z)) * w,u,u)) = L(x,y,z * L(w,u,u)).
L(x,y,y \ 1) = x * a(y,y,x).
L(L(x,y,z),u,u \ 1) = L(x * a(u,u,x),y,z).
R(1 / x,x,y * a(x,x,y)) * (y * a(x,x,y)) = (1 / x) * y.
(L(x,y,y) \ x) / y = (L(x,y,y) \ x) * (1 / y).
(L(x,y,y) \ x) * (1 / y) = (L(x,y,y) \ x) / y.
(x * y) / (a(z,z,y) * y) = L(a(z,z,y) * y,z,z) * ((a(z,z,y) * y) \ x).
L(a(x,x,y) * y,x,x) * ((a(x,x,y) * y) \ z) = (z * y) / (a(x,x,y) * y).
L(x,y,y \ 1) = a(y,y,x) * x.
L(L(x,y,z),u,u \ 1) = L(a(u,u,x) * x,y,z).
R(x * (R(x,x,y) \ x),x,y) = x.
(x * (((R(x,x,y) \ x) * x) \ z)) \ (z * R((R(x,x,y) \ x) * x,x,y)) = (R(x,x,y) \ x) * x.
x \ (((R(x,x,y) \ x) * x) * z) = ((R(x,x,y) \ x) * x) * (R((R(x,x,y) \ x) * x,x,y) \ z).
((R(x,x,y) \ x) * x) * (R((R(x,x,y) \ x) * x,x,y) \ z) = x \ (((R(x,x,y) \ x) * x) * z).
(x * R(L(y,x,x) \ y,z,u)) / x = R(R(x,x,y) / x,z,u).
L(x,R(y,z,u),R(y,z,u)) \ x = R(y \ R(y,R(y,z,u),x),z,u).
R(x \ R(x,R(x,y,z),u),y,z) = L(u,R(x,y,z),R(x,y,z)) \ u.
R(x,x,y) \ (L(y,x,x) \ y) = x \ 1.
R(1 / x,x,y) * (L(y,x,x) \ y) = 1 / x.
x * R(L(y,x,x) \ y,z,u) = R(x,x,R(y,z,u)).
x \ L(x,y,y \ 1) = a(y,y,x).
a(x,a(y,y,x),z) = (x * (a(y,y,x) * z)) \ (L(x,y,y \ 1) * z).
(x * (a(y,y,x) * z)) \ (L(x,y,y \ 1) * z) = a(x,a(y,y,x),z).
L(R(x,y,z),u,u \ 1) = R(x * a(u,u,x),y,z).
R(x * a(y,y,x),z,u) = L(R(x,z,u),y,y \ 1).
L(x * a(y,y,x),y,y \ 1) = (1 / y) * (R(y,y,x) * x).
a(a(x,x,y),y,z) = (a(x,x,y) * (y * z)) \ (L(y,x,x \ 1) * z).
(a(x,x,y) * (y * z)) \ (L(y,x,x \ 1) * z) = a(a(x,x,y),y,z).
(a(x,x,y) * L(y,x,x \ 1)) / a(x,x,y) = T(a(x,x,y),a(x,x,y) * y) * y.
L(x,y,y \ 1) = (y \ R(y,y,x)) * x.
(x \ R(x,x,y)) * y = L(y,x,x \ 1).
L(L(x,y,z),z,z \ 1) = a(z,z,x) * L(x,y,z).
L(x * a(y,z,u),y,y \ 1) = a(y,y,x) * (x * a(y,z,u)).
x \ R(y,x,z) = R((x * (R(x,x,z) \ x)) \ y,x,z).
R((x * (R(x,x,y) \ x)) \ z,x,y) = x \ R(z,x,y).
a(a(x,y,z),a(x,y,z),u) = a(u,a(x,y,z),a(x,y,z) \ 1).
a(x,a(y,z,u),a(y,z,u) \ 1) = a(a(y,z,u),a(y,z,u),x).
a(x,x,y \ 1) = y * L(y \ 1,x,x \ 1).
x * L(x \ 1,y,y \ 1) = a(y,y,x \ 1).
L(x,y,a(z,z,u)) = L(x,y,a(u,z,z \ 1)).
L(x,y,a(z,u,u \ 1)) = L(x,y,a(u,u,z)).
L(x,a(y,y,z),u) = L(x,a(z,y,y \ 1),u).
L(x,a(y,z,z \ 1),u) = L(x,a(z,z,y),u).
a(x,a(y,y,z),u) = a(x,a(z,y,y \ 1),u).
a(x,a(y,z,z \ 1),u) = a(x,a(z,z,y),u).
R(x,y,a(z,z,u)) = R(x,y,a(u,z,z \ 1)).
R(x,y,a(z,u,u \ 1)) = R(x,y,a(u,u,z)).
a(x,y,a(z,z,u)) = a(x,y,a(u,z,z \ 1)).
a(x,y,a(z,u,u \ 1)) = a(x,y,a(u,u,z)).
a(x \ 1,x,y) \ 1 = a(x,x,y).
L(x,y,y) \ x = x \ L(x,y,y \ 1).
x \ L(x,y,y \ 1) = L(x,y,y) \ x.
a(((x / (y * x)) \ 1) \ 1,R(y,y,x),z) \ 1 = a(R(y,y,x),R(y,y,x),z).
a(R(x,x,y),R(x,x,y),z) = a(((y / (x * y)) \ 1) \ 1,R(x,x,y),z) \ 1.
a(x,x \ 1,y) \ 1 = a(x \ 1,x \ 1,y).
a(x \ 1,x \ 1,y) = a(x,x \ 1,y) \ 1.
a(x,x,y) \ 1 = a(x \ 1,x,y).
a(x \ 1,x,y) = a(x,x,y) \ 1.
L(x,y,a(x \ 1,x,z) \ 1) = x.
a(x,x,y) \ x = a(x \ 1,x,y) * x.
a(x \ 1,x,y) * x = a(x,x,y) \ x.
R(a(x,x,y),a(x,x,y),a(x,x,y)) * a(x,x,y) = 1 / (a(x,x,y) \ a(x \ 1,x,y)).
R(x,x,y) \ x = a(x \ 1,x,y).
a(x \ 1,x,y) = R(x,x,y) \ x.
a(x,x,y) \ (a(x \ 1,x,y) \ z) = L(z,a(x,x,y),a(x,x,y)).
a(x \ 1,x,y) \ (a(x,x,y) \ z) = L(z,a(x,x,y),a(x,x,y)).
L(x,a(y \ 1,y,z),a(y,y,z) \ 1) = (R(y,y,z) \ y) \ (a(y,y,z) \ x).
x = L(x,y,a(z,x,x \ 1)).
L(x,y,a(z,x,x \ 1)) = x.
(a(x,y,y \ 1) * z) * y = a(x,y,y \ 1) * (z * y).
a(x,y,y \ 1) \ y = (a(x,y,y \ 1) \ 1) * y.
(a(x,y,y \ 1) \ 1) * y = a(x,y,y \ 1) \ y.
(a(x,y,y \ 1) * z) / y = a(x,y,y \ 1) * (z / y).
a(x,y,y \ 1) * (z * T(y,a(x,y,y \ 1) * z)) = y * (a(x,y,y \ 1) * z).
a(x \ 1,x,y) / x = R(1 / x,x,y).
a(x \ 1,x,x \ y) = ((x \ y) / y) * x.
K(x,y) * a(x \ 1,x,z) = R(x,x,z) \ T(x,y).
a(x \ 1,x,y) \ (1 / x) = (x \ R(x,x,y)) / x.
a(x \ 1,x,y) \ (x \ 1) = x \ (x \ R(x,x,y)).
(R(x,x,y) \ x) * (x * y) = (1 / x) \ y.
a(x \ 1,x,y) = y \ L(y,x,x).
x * a(y \ 1,y,x) = L(x,y,y).
a(x \ 1,x,y) * y = L(y,x,x).
x \ L(x,y \ 1,y \ 1) = a(y,y \ 1,x).
R(a(x \ 1,x,y),z,u) * w = w * R(y \ L(y,x,x),z,u).
T(x,y \ (z \ L(z,u,u))) = T(x,y \ 1).
x * a(((y / (z * y)) \ 1) \ 1,R(z,z,y),x) = L(x,R(z,z,y),R(z,z,y)).
L(x,R(y,y,z),R(y,y,z)) = x * a(((z / (y * z)) \ 1) \ 1,R(y,y,z),x).
x * R(a(y \ 1,y,z),z,z \ x) = L(z,y,y) * (z \ x).
x \ L(x,y \ 1,y \ 1) = y \ (x / ((y \ 1) * x)).
L(R(x,x,y) \ x,z,u) = L(y \ L(y,x,x),z,u).
L(x,y,z \ L(z,u,u)) = L(x,y,u * (z / (u * z))).
L(x,y,z * (u / (z * u))) = L(x,y,u \ L(u,z,z)).
L(x,y,z \ L(z,u,u)) = L(x,y,u * ((u * z) \ z)).
L(x,y,z * ((z * u) \ u)) = L(x,y,u \ L(u,z,z)).
L(x,y,z * (u \ L(u,w,w))) = L(x,y,z * (w * (u / (w * u)))).
L(x,y,z * (u * (w / (u * w)))) = L(x,y,z * (w \ L(w,u,u))).
a(x \ L(x,y,y),z,u) = a(y * (x / (y * x)),z,u).
a(x * (y / (x * y)),z,u) = a(y \ L(y,x,x),z,u).
a((x \ L(x,y,y)) * z,u,w) = a((y * (x / (y * x))) * z,u,w).
a((x * (y / (x * y))) * z,u,w) = a((y \ L(y,x,x)) * z,u,w).
a(x * (y \ L(y,z,z)),u,w) = a(x * (z * ((z * y) \ y)),u,w).
a(x * (y * ((y * z) \ z)),u,w) = a(x * (z \ L(z,y,y)),u,w).
L(x,y,(z \ L(z,u,u)) \ w) = L(x,y,(u * (z / (u * z))) \ w).
L(x,y,(z * (u / (z * u))) \ w) = L(x,y,(u \ L(u,z,z)) \ w).
a((x \ L(x,y,y)) \ z,u,w) = a((y * ((y * x) \ x)) \ z,u,w).
a((x * ((x * y) \ y)) \ z,u,w) = a((y \ L(y,x,x)) \ z,u,w).
x \ L(x,x \ y,x \ y) = (x / y) * (y / x).
L(x,y \ L(y,z,z),u) = L(x,z * (y / (z * y)),u).
L(x,y * (z / (y * z)),u) = L(x,z \ L(z,y,y),u).
L(x,(y \ L(y,z,z)) * u,w) = L(x,(z * (y / (z * y))) * u,w).
L(x,(y * (z / (y * z))) * u,w) = L(x,(z \ L(z,y,y)) * u,w).
L(x,(y \ L(y,z,z)) \ u,w) = L(x,(z * (y / (z * y))) \ u,w).
L(x,(y * (z / (y * z))) \ u,w) = L(x,(z \ L(z,y,y)) \ u,w).
a(x,y \ L(y,z,z),u) = a(x,z * (y / (z * y)),u).
a(x,y * (z / (y * z)),u) = a(x,z \ L(z,y,y),u).
a(x,(y \ L(y,z,z)) * u,w) = a(x,(z * (y / (z * y))) * u,w).
a(x,(y * (z / (y * z))) * u,w) = a(x,(z \ L(z,y,y)) * u,w).
R(x,y \ L(y,z,z),u) = R(x,z * (y / (z * y)),u).
R(x,y * (z / (y * z)),u) = R(x,z \ L(z,y,y),u).
R(x / (y / (z * y)),(z * y) \ y,z) = (x * z) / (y \ L(y,z,z)).
R(x,y,z \ L(z,u,u)) = R(x,y,u * (z / (u * z))).
R(x,y,z * (u / (z * u))) = R(x,y,u \ L(u,z,z)).
a(x,y,(z \ L(z,u,u)) * w) = a(x,y,(u * (z / (u * z))) * w).
a(x,y,(z * (u / (z * u))) * w) = a(x,y,(u \ L(u,z,z)) * w).
a(x,y,z * (u \ L(u,w,w))) = a(x,y,z * (w * (u / (w * u)))).
a(x,y,z * (u * (w / (u * w)))) = a(x,y,z * (w \ L(w,u,u))).
a(x,y,(z \ L(z,u,u)) \ w) = a(x,y,(u * ((u * z) \ z)) \ w).
a(x,y,(z * ((z * u) \ u)) \ w) = a(x,y,(u \ L(u,z,z)) \ w).
R(x / y,x / y,y) \ x = L((x / y) \ x,x / y,x / y).
L((x / y) \ x,x / y,x / y) = R(x / y,x / y,y) \ x.
L(R(x \ 1,x,y),x,y) = (y * x) \ L(y,x,x).
R(x \ (L(y,x,x) \ y),x,y) = x \ 1.
(1 / x) \ (y \ R(y,y,x)) = L(x,y,y \ 1).
(x \ y) \ ((1 / x) * y) = L(x \ y,x,x) \ (x \ y).
L(x \ y,x,x) \ (x \ y) = (x \ y) \ ((1 / x) * y).
R(a(x \ 1,x,y),x,x \ z) * z = (a(x,x,y) \ x) * (x \ z).
(x \ 1) * (x * y) = ((x \ (L(y,x,x) \ y)) * x) * y.
((x \ (L(y,x,x) \ y)) * x) * y = (x \ 1) * (x * y).
R(x \ (x \ R(x,x,y)),x,y) = x \ 1.
R(x,y,z) * (y \ 1) = R(x * (y \ (y \ R(y,y,z))),y,z).
R(x * (y \ (y \ R(y,y,z))),y,z) = R(x,y,z) * (y \ 1).
L(x,y,y) \ (x * y) = (x / (y * x)) \ 1.
R(a(x \ 1,x,x \ y),z,u) / x = x \ R(x * ((x \ y) / y),z,u).
x \ R(x * ((x \ y) / y),z,u) = R(a(x \ 1,x,x \ y),z,u) / x.
a(x,y,z \ a(u \ 1,u,u \ w)) = a(x,y,z \ (u * ((u \ w) / w))).
((R(x,x,y) \ x) * x) * y = (1 / x) \ y.
((1 / (x \ y)) \ x) / y = (R(x \ y,x \ y,x) \ (x \ y)) * K(x \ y,x).
(R(x \ y,x \ y,x) \ (x \ y)) * K(x \ y,x) = ((1 / (x \ y)) \ x) / y.
(x \ R(x,x,y)) \ (x * y) = (1 / x) \ y.
(x / (y * x)) \ 1 = x * (L(x,y,y) \ y).
x * (L(x,y,y) \ y) = (x / (y * x)) \ 1.
((1 / x) \ y) / y = (R(x,x,y) \ x) * x.
((1 / x) \ y) \ (x * y) = x \ R(x,x,y).
a(((1 / x) \ y) \ (y * x),z,u) = a(x \ R(x,x,y),z,u).
a(x,x,y) \ (x * y) = (1 / x) \ y.
a(x,x,x \ y) \ y = (1 / x) \ (x \ y).
((1 / x) \ y) \ (x * y) = a(x,x,y).
L(x,a(y,y,z) * (u \ ((1 / y) \ z)),x) = L(x,u \ (y * z),x).
(x \ y) \ ((x \ 1) * y) = a(x \ 1,x \ 1,y).
((1 / x) \ y) / y = x * (R(x,x,y) \ x).
((1 / x) \ y) / y = a(x,x,y) \ x.
a(x,x,y) \ x = ((1 / x) \ y) / y.
a(x,y,z \ R(z,z,u / z)) = a(x,y,((1 / z) \ (u / z)) \ u).
a(x,y,((1 / z) \ (u / z)) \ u) = a(x,y,z \ R(z,z,u / z)).
a(x \ 1,x \ 1,(x \ 1) \ y) \ y = x \ ((x \ 1) \ y).
x / ((1 / y) * x) = y * (R(y,y,(1 / y) * x) \ y).
K(1 / x,(1 / x) \ y) * (x * (R(x,x,y) \ x)) = (y / (1 / x)) / y.
x \ ((y \ L(y,z,z)) * (z \ x)) = R(x \ (z \ x),z,y).
(x * y) * ((x * R(y,y,x)) \ x) = L(x,y,y).
a(x \ L(x,x,y),z,u) = a(a(x,x,y),z,u).
a(x,y,(((L(T(z,u),w,w) \ v5) \ v5) \ z) * v6) = a(x,y,v6 * (K(u,z) * a(w,w,z))).
a(x,R(y,z,z),a(z,z,y)) * (x * y) = (x * R(y,z,z)) * (R(y,z,z) \ y).
R((1 / x) * (L(y,x,x) \ y),x,y) = 1 / x.
a(x,y,a(z,z,x \ 1)) = 1.
L(x,y,z \ (u * ((z \ u) \ 1))) = L(x,y,a(z \ u,z \ u,z)).
L(x,y,a(z \ u,z \ u,z)) = L(x,y,z \ (u * ((z \ u) \ 1))).
L(x,y,a(z,z,u \ 1)) = L(x,y,a(z \ 1,z,u)).
L(x,y,a(z \ 1,z,u)) = L(x,y,a(z,z,u \ 1)).
(1 / L(a(x,y,y \ 1),z,a(x,y,y \ 1))) \ u = a(x,y,y \ 1) * L(u,a(x,y,y \ 1),a(y,y,x)).
L(x,a(y,y,z),z) = L(x,z,a(z,y,y \ 1)).
L(x,y,a(y,z,z \ 1)) = L(x,a(z,z,y),y).
L(x,a(y,y,z \ 1),u) = L(x,a(y \ 1,y,z),u).
L(x,a(y \ 1,y,z),u) = L(x,a(y,y,z \ 1),u).
a(x,a(y,y,z \ 1),u) = a(x,a(y \ 1,y,z),u).
a(x,a(y \ 1,y,z),u) = a(x,a(y,y,z \ 1),u).
a(x,y,a(z,z,u \ 1)) = a(x,y,a(z \ 1,z,u)).
a(x,y,a(z \ 1,z,u)) = a(x,y,a(z,z,u \ 1)).
a(x,x,y \ (x * R(x \ y,z,z \ 1))) = a(x,x,a(z,z,x \ y)).
a(R(x,y,z) \ 1,R(x,y,z) \ 1,u) = a(R(x,y,z),R(x \ 1,y,z),u) \ 1.
a(x \ 1,x \ 1,y) \ (1 / x) = a(x,x \ 1,y) / x.
x \ ((y \ 1) \ (y \ x)) = a(y,y \ 1,x).
a(x,x \ 1,y) * y = (x \ 1) \ (x \ y).
a(x,y,a(z,z \ 1,u)) = a(x,y,u \ L(u,z,z)).
x \ (y \ R(y,y,x \ 1)) = L(x \ 1,y,y \ 1).
(1 / x) \ a(y,y,x) = L(x,y,y \ 1).
(x * y) \ L(x,y,y) = (x * R(y,y,x)) \ x.
(x * R(y,y,x)) \ x = (x * y) \ L(x,y,y).
L(x,a(y,y,z),z) = L(x,z,a(y,y,z)).
L(x,x,L(y,x,a(z,z,x))) = L(x,x,y).
x * K((x * R(y,y,x)) \ x,x * R(y,y,x)) = ((x * y) \ L(x,y,y)) * (x * R(y,y,x)).
((x * y) \ L(x,y,y)) * (x * R(y,y,x)) = x * K((x * R(y,y,x)) \ x,x * R(y,y,x)).
(((x * R(y,y,x)) \ x) * (x * R(y,y,x))) \ (x * R(y,y,x)) = x \ T(x * R(y,y,x),(x * y) \ L(x,y,y)).
T(((x * y) \ L(x,y,y)) * (x * R(y,y,x)),x) = ((x * R(y,y,x)) \ x) * (x * R(y,y,x)).
((x * (y * x)) / x) * ((x * y) \ L(x,y,y)) = L(x,y,x) * (y * R(y \ 1,y,x)).
L(x,y,L(z \ u,z,z)) = L(x,y,L(z \ u,z,u)).
L(x,y,L(z \ u,z,u)) = L(x,y,L(z \ u,z,z)).
a(x,L(y \ z,y,y),u) = a(x,L(y \ z,y,z),u).
a(x,L(y \ z,y,z),u) = a(x,L(y \ z,y,y),u).
a(x,y,L(T(z,u),u,z * u)) = a(x,y,u \ L(z * u,u,u)).
a(x,y,L(z \ u,z,z)) = a(x,y,L(z \ u,z,u)).
a(x,y,L(z \ u,z,u)) = a(x,y,L(z \ u,z,z)).
(1 / (x \ L(x,y,y))) \ T(z,x \ L(x,y,y)) = L(z,x \ L(x,y,y),R(y,y,x) \ y) * (x \ L(x,y,y)).
L(x,y \ L(y,z,z),R(z,z,y) \ z) * (y \ L(y,z,z)) = (1 / (y \ L(y,z,z))) \ T(x,y \ L(y,z,z)).
L(x / y,x,x) \ x = (x \ R(x,x,y \ x)) * y.
(x \ R(x,x,y \ x)) * y = L(x / y,x,x) \ x.
a(L(x \ y,y,y),z,u) = a(L(x \ y,y,x),z,u).
R(x,y,L((z * u) \ u,T(u,z),u * z)) = R(x,y,L(u * z,T(u,z),T(u,z)) \ T(u,z)).
R(x,y,L(z * u,T(z,u),T(z,u)) \ T(z,u)) = R(x,y,L((u * z) \ z,T(z,u),z * u)).
R(x,y,L(z \ u,u,u)) = R(x,y,L(z \ u,u,z)).
a(x,y,L(z \ u,u,u) \ u) = a(x,y,L(z,u,z \ u)).
a(x,y,L(z,u,z \ u)) = a(x,y,L(z \ u,u,u) \ u).
L(a(x,x,y),z,y \ L(y,x,x)) = a(x,x,y).
x / a(y,y,z) = (z \ L(z,y,y)) * (((z \ L(z,y,y)) \ x) / a(y,y,z)).
(x \ L(x,y,y)) * (((x \ L(x,y,y)) \ z) / a(y,y,x)) = z / a(y,y,x).
a(x,x,y) \ K(y,z) = y \ L(T(y,z),x,x).
(x \ L(x,y,y)) * (z * K(u,w)) = z * (a(y,y,x) \ K(u,w)).
a(x,(a(y,y,(z \ u) \ u) \ K((z \ u) \ u,w)) * v5,v6) = a(x,v5 * (z \ L(T((z \ u) \ u,w),y,y)),v6).
a(x,y,(a(z,z,(u \ w) \ w) \ K((u \ w) \ w,v5)) * v6) = a(x,y,v6 * (u \ L(T((u \ w) \ w,v5),z,z))).
(L(x,y,y) \ x) / y = (1 / y) * (L(x,y,y) \ x).
(1 / x) * (L(y,x,x) \ y) = (L(y,x,x) \ y) / x.
a(x,x,y) * L(y,z,x) = L(a(x,x,y) * y,z,x).
L(a(x,x,y) * y,z,x) = a(x,x,y) * L(y,z,x).
a(x \ 1,y,y \ 1) * y = a(x,y,y \ 1) \ y.
R(x,x,y) \ T(x,y) = (y * x) \ ((1 / x) \ y).
x * (R(y,y,y \ x) \ T(y,y \ x)) = (1 / y) \ (x / y).
(x * y) \ ((1 / y) \ x) = (x / (x * y)) * y.
((x / (x * y)) * y) * K(x,z) = (x * y) \ ((1 / y) \ T(x,z)).
(x * y) \ ((1 / y) \ T(x,z)) = ((x / (x * y)) * y) * K(x,z).
((x / (x * y)) * y) * (((1 / y) \ x) \ (x * y)) = 1.
a(x \ 1,x,y) \ (x \ 1) = x \ a(x,x,y).
L((R(x,x,y) \ x) \ L(y \ L(y,x,x),z,u),R(x,x,y) \ x,w) = w \ ((w / (R(x,x,y) \ x)) * L(R(x,x,y) \ x,z,u)).
L(x,y,z \ L(z,u,u)) = L(x,y,a(u,u,z \ 1)).
L(x,y,a(z,z,u \ 1)) = L(x,y,u \ L(u,z,z)).
a(x,y \ L(y,z,z),u) = a(x,a(z,z,y \ 1),u).
a(x,a(y,y,z \ 1),u) = a(x,z \ L(z,y,y),u).
a(x,y,z \ L(z,u,u)) = a(x,y,a(u,u,z \ 1)).
a(x,y,a(z,z,u \ 1)) = a(x,y,u \ L(u,z,z)).
L(L(x \ 1,y,y \ 1),x,y) = (y * x) \ R(y,y,x \ 1).
L(x,y,L(z \ u,z,z)) = L(x,y,(z * u) \ (u * u)).
(x * R(x \ y,x,y)) \ ((x * (x \ y)) * y) = L(y,x,L(x \ y,x,x)).
a(x,x,y \ x) * y = L(x / y,x,x) \ x.
L(x / y,x,x) \ x = a(x,x,y \ x) * y.
L(x,y,y) \ y = a(y,y,(x \ y) \ y) * (x \ y).
a(x,x,(y \ x) \ x) * (y \ x) = L(y,x,x) \ x.
R(x,y,L(L(z \ 1,z,u),u,u)) = R(x,y,L((u * z) \ u,u,u * z)).
R(x,y,L((z * u) \ z,z,z * u)) = R(x,y,L(L(u \ 1,u,z),z,z)).
R((L(x,y,y) \ x) / y,y,x) = 1 / y.
(1 / x) * y = (((L(x \ y,x,x) \ (x \ y)) / x) * x) * (x \ y).
(((L(x \ y,x,x) \ (x \ y)) / x) * x) * (x \ y) = (1 / x) * y.
(1 / x) * (y * x) = (((L(y,x,x) \ y) / x) * x) * T(y,x).
(((L(x,y,y) \ x) / y) * y) * T(x,y) = (1 / y) * (x * y).
L(a(x,x,y) * y,z,x) = L(y,z,x) * a(x,x,y).
a(x,y,y \ 1) * y = a(x \ 1,y,y \ 1) \ y.
a(x \ 1,y,y \ 1) \ y = a(x,y,y \ 1) * y.
x \ ((y / (y * x)) \ 1) = ((1 / x) \ y) \ (y * x).
((1 / x) \ y) \ (y * x) = x \ ((y / (y * x)) \ 1).
a(x,x,L(y,x,z \ L(z,x,x))) = a(x,x,y).
a(x,y,a(z,z \ 1,u)) = a(x,y,a(z,z,u \ 1)).
a(x,x,y) * (y \ x) = L(y,x,x) \ x.
x \ (L(y,x,x) \ x) = a(x,x,y) * (x \ (y \ x)).
a(x,x,y) * (x \ (y \ x)) = x \ (L(y,x,x) \ x).
T((R(x,y,y \ 1) \ x) \ y,y) = a(x,y,y \ 1) * y.
R(x,y,z) \ (R(x,y,z) \ x) = x * R(x \ (x \ 1),y,z).
R(x,x,y) * L(y,x,x) = K(x,y) * (y * x).
R(x,x,y) * L(y,x,x) = x * y.
L(L(x,y,y) \ 1,L(x,y,y),R(y,y,x)) = (y * x) \ R(y,y,x).
R(x,x,x \ (x \ y)) * ((x * x) \ y) = x * (x \ (x \ y)).
(x \ y) * R(x,x,x \ y) = ((1 / x) * y) * x.
a(L((x \ y) * x,x,x \ y),z,u) = a(((1 / x) * y) * x,z,u).
L(x,L((y \ z) * y,y,y \ z),u) = L(x,((1 / y) * z) * y,u).
R(x,y,L((z \ u) * z,z,z \ u)) = R(x,y,((1 / z) * u) * z).
a(x,y,L((z \ u) * z,z,z \ u)) = a(x,y,((1 / z) * u) * z).
R(R(x,x,y),x,y) = x \ R(x * x,x,y).
R(x,x \ (x \ R(x * x,x,y)),x) = (x \ (R(x * x,x,y) / x)) \ R(R(x,x,y),x,y).
(x \ (R(x * x,x,y) / x)) \ R(R(x,x,y),x,y) = R(x,x \ (x \ R(x * x,x,y)),x).
x \ ((y \ 1) \ (y \ x)) = y \ (x / ((y \ 1) * x)).
a(x \ L(x,y,y),z,u) = a(y * ((y * x) \ x),z,u).
a(x * ((x * y) \ y),z,u) = a(y \ L(y,x,x),z,u).
L(x,y \ L(y,z,z),u) = L(x,z * ((z * y) \ y),u).
L(x,y * ((y * z) \ z),u) = L(x,z \ L(z,y,y),u).
R(x,y \ L(y,z,z),u) = R(x,z * ((z * y) \ y),u).
R(x,y * ((y * z) \ z),u) = R(x,z \ L(z,y,y),u).
R(x,y,z \ L(z,u,u)) = R(x,y,u * ((u * z) \ z)).
R(x,y,z * ((z * u) \ u)) = R(x,y,u \ L(u,z,z)).
(x \ y) \ ((1 / x) * y) = x \ (((x \ y) / y) \ 1).
(x \ (((x \ y) / y) \ 1)) \ 1 = ((1 / x) * y) \ (x \ y).
((x \ 1) * R(x,x,y)) * y = (x \ 1) * (x * y).
x \ ((y \ 1) * (y * x)) = (y \ 1) * R(y,y,x).
(x * R(1 / x,x,y)) \ y = (x \ 1) * (x * y).
x \ (1 / (y / (x * y))) = y \ ((x \ 1) * (x * y)).
T(x \ ((y * x) * (y \ 1)),K(y * x,y \ 1)) = K(y * x,y \ 1) * ((y \ 1) * R(y,y,x)).
(x \ ((y \ 1) * (y * x))) \ 1 = y * (x / (y * x)).
(x * (y / (x * y))) \ y = (x \ 1) * (x * y).
x / ((y \ 1) * (y * x)) = y * (x / (y * x)).
((x \ 1) * (x * y)) / T(z,(x \ 1) * (z \ (x * y))) = z \ ((x * (y / (x * y))) \ y).
x \ ((y * (z / (y * z))) \ z) = ((y \ 1) * (y * z)) / T(x,(y \ 1) * (x \ (y * z))).
(R(x * (y / (x * y)),y,y \ 1) \ y) / y = ((x \ 1) * (x * y)) * (y \ 1).
T(((x \ 1) * (x * y)) / y,x * (y / (x * y))) * z = (((((x \ 1) * (x * y)) / y) \ 1) \ 1) * z.
R(x,y,z) \ (1 / (u / (R(x,y,z) * u))) = u \ (R(x \ 1,y,z) * (R(x,y,z) * u)).
x / ((1 / y) * x) = y * (R(y,y,y \ x) \ y).
R(1 / (1 / x),1 / x,y) = x * (R(x,x,x \ y) \ x).
x / ((1 / y) * x) = a(y,y,y \ x) \ y.
a(x,x,x \ y) \ x = y / ((1 / x) * y).
(x / y) / ((1 / z) * (x / y)) = a(z,z,z \ (y \ x)) \ z.
a(x,x,x \ (y \ z)) \ x = (z / y) / ((1 / x) * (z / y)).
L(x,y,L(z \ T(u,w),z,z)) = L(x,y,(z * u) \ (u * u)).
(R(x,x,y) * y) \ (x * L(y,z,y)) = y \ L(L(y,z,y),x,x).
a(x,x,y) \ R(y,z,u) = L(y,x,x) * (y \ R(y,z,u)).
L(x,y,y) * (x \ R(x,z,u)) = a(y,y,x) \ R(x,z,u).
L(a(x,y,y \ 1),z,y) = a(x,y,y \ 1).
a(L(x,y,z),z,z \ 1) = a(x,z,z \ 1).
x / a(y,z,z \ 1) = z * ((z \ x) / a(y,z,z \ 1)).
x * ((x \ y) / a(z,x,x \ 1)) = y / a(z,x,x \ 1).
a(x \ (y * z),y,y \ 1) = a((y \ x) \ z,y,y \ 1).
a((x \ y) \ z,x,x \ 1) = a(y \ (x * z),x,x \ 1).
a(x,y,y \ 1) = ((x / y) / (1 / y)) \ x.
((x / y) / (1 / y)) \ x = a(x,y,y \ 1).
a(x,y,y \ 1) * ((x / y) / (1 / y)) = x.
a(x,y,y \ 1) \ x = (x / y) / (1 / y).
a(x,y,a(z,u,u \ 1)) = a(x,y,((1 / u) \ (z / u)) \ z).
a(x,y,((1 / z) \ (u / z)) \ u) = a(x,y,a(u,z,z \ 1)).
R(a(x,y,z),u,u) \ a(x,y,z) = a(a(x,y,z),u,u \ 1).
a(a(x,y \ (x \ 1),y),y,y \ 1) * ((x * ((x \ 1) / y)) / (1 / y)) = a(x,y \ (x \ 1),y).
a(x \ 1,y,y \ 1) * x = (x / y) / (1 / y).
x * a(x \ 1,y,y \ 1) = (x / y) / (1 / y).
a(x,y,L(z,u,z \ u)) = a(x,y,L(z,u,u)).
a(x,y,L(z,z * u,u)) = a(x,y,L(z,z * u,z * u)).
a(x,y,L(z,z * u,z * u)) = a(x,y,L(z,z * u,u)).
((1 / x) * y) \ (x \ y) = ((x \ y) / y) * x.
((1 / x) * y) \ (K((1 / x) * y,z) * (x \ y)) = K((1 / x) * y,z) * (((x \ y) / y) * x).
x * (R(x,x,x \ y) \ x) = R(1 / (1 / x),x \ 1,y).
R(1 / (1 / x),x \ 1,y) = x * (R(x,x,x \ y) \ x).
x * ((x \ y) / a(z,x,x \ 1)) = a(z,x,x \ 1) \ y.
R(1 / (1 / x),x \ 1,y) = a(x,x,x \ y) \ x.
x * (a(y,x,x \ 1) \ (x \ z)) = a(y,x,x \ 1) \ z.
x \ (a(y,x,x \ 1) \ z) = a(y,x,x \ 1) \ (x \ z).
a(x,y,y \ 1) \ (y \ z) = y \ (a(x,y,y \ 1) \ z).
(a(x,y,y \ 1) \ z) / y = a(x,y,y \ 1) \ (z / y).
((x * y) * (x \ 1)) \ (x * y) = y \ (y / (x \ 1)).
x \ (x / (y \ 1)) = L(y,y \ 1,x).
L(x,x \ 1,y) = y \ (y / (x \ 1)).
x * L(y,y \ 1,x) = x / (y \ 1).
1 / L(x,x \ 1,y) = (y \ (y / (1 / x))) \ 1.
(x \ (x / (1 / y))) \ 1 = 1 / L(y,y \ 1,x).
(x \ (y \ (y / (x \ 1)))) * T(x,z) = L(T(x,z),x \ 1,y).
(x \ 1) \ ((y \ (y / (x \ 1))) \ 1) = L(x,x \ 1,y) \ x.
L(x,x \ 1,y) \ x = (x \ 1) \ ((y \ (y / (x \ 1))) \ 1).
x \ (x / (y \ 1)) = (x * (1 / y)) \ x.
(x * (1 / y)) \ x = x \ (x / (y \ 1)).
a(x,y,L(z,z \ 1,u)) = a(x,y,u \ ((z \ 1) \ u)).
x * L(1 / y,y,x) = x / ((1 / y) \ 1).
x * ((x * (1 / y)) \ x) = x / (y \ 1).
x * R(x \ R(x,y,z),u,w) = x / (R(x \ R(x,y,z),u,w) \ 1).
x / (R(x \ R(x,y,z),u,w) \ 1) = x * R(x \ R(x,y,z),u,w).
x * L(x \ R(x,y,z),u,w) = x / (L(x \ R(x,y,z),u,w) \ 1).
x / (L(x \ R(x,y,z),u,w) \ 1) = x * L(x \ R(x,y,z),u,w).
x * L(a(x,y,z),u,w) = x / (L(a(x,y,z),u,w) \ 1).
x / (L(a(x,y,z),u,w) \ 1) = x * L(a(x,y,z),u,w).
(x * y) \ x = x \ (x / ((y \ 1) \ 1)).
x \ (x / ((y \ 1) \ 1)) = (x * y) \ x.
(x \ (y \ (y / (x \ 1)))) * ((x \ 1) \ 1) = (y * (x \ 1)) \ y.
a((x / (x * (y \ 1))) \ z,u,w) = a((x \ (x / (y \ 1))) \ z,u,w).
(x * (1 / y)) \ T(x,y) = (x / (y \ 1)) / x.
x \ (x / T(y,y \ 1)) = (x * y) \ x.
x \ (x / L(y \ R(y,z,u),w,v5)) = (x * L(y \ R(y,z,u),w,v5)) \ x.
(x * L(y \ R(y,z,u),w,v5)) \ x = x \ (x / L(y \ R(y,z,u),w,v5)).
x \ (x / L(a(y,z,u),w,v5)) = (x * L(a(y,z,u),w,v5)) \ x.
(x * L(a(y,z,u),w,v5)) \ x = x \ (x / L(a(y,z,u),w,v5)).
T(x \ (x / y),y) = (x * y) \ x.
((x \ (x / y)) \ 1) \ 1 = (x * y) \ x.
T(x \ y,y \ x) = (x * (y \ x)) \ x.
x * ((y * x) \ y) = (y \ (y / x)) * x.
(x \ (x / y)) * y = y * ((x * y) \ x).
R((x * y) \ x,z,u) \ T(x \ (x / y),y) = R(x \ (x / y),z,u) \ (x \ (x / y)).
L(x,y,((z * u) \ z) \ w) = L(x,y,(z \ (z / u)) \ w).
L(x,y,z * ((u * w) \ u)) = L(x,y,z * (u \ (u / w))).
T(L(x \ 1,x,y),x) = ((x * y) * x) \ (x * y).
((x * y) * x) \ (x * y) = T(L(x \ 1,x,y),x).
L(x,y,L((z * u) \ z,w,v5)) = L(x,y,L(z \ (z / u),w,v5)).
1 / ((x * y) \ x) = (x \ (x / y)) \ 1.
a(((x * y) \ x) * z,u,w) = a((x \ (x / y)) * z,u,w).
a(((x * y) \ x) \ z,u,w) = a((x \ (x / y)) \ z,u,w).
a(x * ((y * z) \ y),u,w) = a(x * (y \ (y / z)),u,w).
a(L((x * y) \ x,z,u),w,v5) = a(L(x \ (x / y),z,u),w,v5).
a(x * (y * ((z * u) \ z)),w,v5) = a(x * (y * (z \ (z / u))),w,v5).
a((x * ((y * z) \ y)) * u,w,v5) = a((x * (y \ (y / z))) * u,w,v5).
x * ((x * y) \ x) = x / T(y,y \ 1).
x / T(y,y \ 1) = x * ((x * y) \ x).
(x * T(y,z)) \ x = T(x \ (x / T(y,z)),y).
T(x \ (x / T(y,z)),y) = (x * T(y,z)) \ x.
a(x \ ((y * z) \ y),u,w) = a(x \ (y \ (y / z)),u,w).
L(x,y,z * (u * ((w * v5) \ w))) = L(x,y,z * (u * (w \ (w / v5)))).
L(x,y,z \ (((u * w) \ u) \ v5)) = L(x,y,z \ ((u \ (u / w)) \ v5)).
R(x,y,L((z * u) \ z,w,v5)) = R(x,y,L(z \ (z / u),w,v5)).
a(x \ (((y * z) \ y) \ u),w,v5) = a(x \ ((y \ (y / z)) \ u),w,v5).
a((x \ ((y * z) \ y)) \ u,w,v5) = a((x \ (y \ (y / z))) \ u,w,v5).
T((x \ (x / y)) \ 1,y \ 1) = ((x * y) \ x) \ 1.
(x * (K(y,z) / z)) \ x = x \ (x / (z \ K(y,z))).
L(x,y,(z * ((u * w) \ u)) \ v5) = L(x,y,(z * (u \ (u / w))) \ v5).
a((x * ((y * z) \ y)) \ u,w,v5) = a((x * (y \ (y / z))) \ u,w,v5).
L(x,((y * z) \ y) \ u,w) = L(x,(y \ (y / z)) \ u,w).
L(x,y * ((z * u) \ z),w) = L(x,y * (z \ (z / u)),w).
a(x,((y * z) \ y) * u,w) = a(x,(y \ (y / z)) * u,w).
a(x,((y * z) \ y) \ u,w) = a(x,(y \ (y / z)) \ u,w).
R(x,y * ((z * u) \ z),w) = R(x,y * (z \ (z / u)),w).
R(x,y,((z * u) \ z) \ w) = R(x,y,(z \ (z / u)) \ w).
R(x,y,z * ((u * w) \ u)) = R(x,y,z * (u \ (u / w))).
a(x,y,((z * u) \ z) * w) = a(x,y,(z \ (z / u)) * w).
a(x,y,((z * u) \ z) \ w) = a(x,y,(z \ (z / u)) \ w).
a(x,y,z \ ((u * w) \ u)) = a(x,y,z \ (u \ (u / w))).
a(x,y,z * ((u * w) \ u)) = a(x,y,z * (u \ (u / w))).
a(x,y,(z * ((u * w) \ u)) \ v5) = a(x,y,(z * (u \ (u / w))) \ v5).
a(x,y,z \ (u \ ((w * v5) \ w))) = a(x,y,z \ (u \ (w \ (w / v5)))).
a(x,y,z \ (((u * w) \ u) * v5)) = a(x,y,z \ ((u \ (u / w)) * v5)).
a(x,y,z * (u * ((w * v5) \ w))) = a(x,y,z * (u * (w \ (w / v5)))).
a(x,y,(z * ((u * w) \ u)) * v5) = a(x,y,(z * (u \ (u / w))) * v5).
K(x,y) / ((z * u) \ z) = T((z \ (z / u)) \ K(x,y),u).
T((x \ (x / y)) \ K(z,u),y) = K(z,u) / ((x * y) \ x).
a((x * y) \ x,z,u) = a(x \ (y \ x),z,u).
a(x,(y * z) \ y,u) = a(x,y \ (z \ y),u).
R(x,(y * z) \ y,u) = R(x,y \ (z \ y),u).
R(x,y,(z * u) \ z) = R(x,y,z \ (u \ z)).
((x \ y) \ 1) \ 1 = (x * (y \ x)) \ x.
L(x \ 1,x,y) = ((y \ (y / x)) \ 1) \ 1.
((x \ ((y \ L(y,z,u)) \ x)) \ 1) \ 1 = (x * (y \ L(y,z,u))) \ x.
L((x \ y) \ 1,x \ y,y) = T(y \ x,x \ y).
x * y != y * ((a(z,u,w) * y) \ v5) | x = v5 / (a(z,u,w) * y).
a(x,y,z) \ (a(x,y,z) / u) = a(x,y,z) / (a(x,y,z) * u).
a(x,y,z) / (a(x,y,z) * u) = a(x,y,z) \ (a(x,y,z) / u).
x \ (a(y,z,u) \ x) = (x * a(y,z,u)) \ x.
(x * a(y,z,u)) \ x = x \ (a(y,z,u) \ x).
(x / y) \ (x * (y * ((x * y) \ x))) = L(y,x \ (x / y),x).
L(x \ 1,x,y) * x = x * (((x * y) * x) \ (x * y)).
x * (((x * y) * x) \ (x * y)) = L(x \ 1,x,y) * x.
(x * ((y * x) \ y)) \ x = (y \ (y / x)) \ 1.
(x * ((y * x) \ y)) \ y = R(y,y \ (x \ y),x).
(x * ((y * x) \ y)) * ((x \ 1) \ 1) = (x * (y \ (y / x))) * x.
L((1 / x) \ y,1 / x,x * ((z * x) \ z)) = ((z / x) / z) \ ((((z / x) / z) / (1 / x)) * y).
1 / (x \ y) = (y \ (y / (y \ x))) \ 1.
(x \ (x / (x \ y))) \ 1 = 1 / (y \ x).
K(x,y) * (x \ ((z \ (z / u)) \ 1)) = x \ (K(x,y) / ((z * u) \ z)).
T((x \ (x / y)) \ 1,x) = 1 / ((y * x) \ x).
(x * ((y * x) \ y)) * ((y \ (y / x)) \ 1) = x.
((x \ (x / y)) \ 1) * (y * ((x * y) \ x)) = y.
x / T(x \ y,(x \ y) \ 1) = x * (y \ x).
x / T(y,y \ 1) = x * L(y \ 1,y,x).
x * L(y \ 1,y,x) = x / T(y,y \ 1).
(x \ 1) / T(x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1) = (x \ 1) * (((y * x) \ y) \ (x \ 1)).
(T(x,y) \ 1) \ 1 = (y * ((x * y) \ y)) \ y.
(x * ((y * x) \ x)) \ x = (T(y,x) \ 1) \ 1.
1 / (1 / (x \ y)) = y \ (y / (y \ x)).
x \ (x / (x \ y)) = 1 / (1 / (y \ x)).
(T(x,y) \ (T(x,y) / (x \ ((z * T(x,y)) \ u)))) \ 1 = 1 / (((z * x) \ u) \ T(x,y)).
x * (1 / (1 / (y \ x))) = x / (x \ y).
x \ (x / R(a(y,z,u),x,x)) = 1 / (1 / ((a(y,z,u) / (x \ 1)) \ x)).
x * (1 / (1 / (((x / y) * L(y,z,u)) \ x))) = x / L(y \ L(y,z,u),y,x).
x / L(y \ L(y,z,u),y,x) = x * (1 / (1 / (((x / y) * L(y,z,u)) \ x))).
x * L(1 / y,y,x) = x / y.
(x / y) / L(1 / y,y,x) = x.
x \ (x / y) = L(1 / y,y,x).
L(1 / x,x,y) = y \ (y / x).
L(L(1 / x,x,y) \ z,L(1 / x,x,y),y) = (y / x) \ (y * z).
L(1 / x,x,y) / T(y / x,y \ 1) = (y * L(1 / x,x,y)) \ L(1 / x,x,y).
(x * L(1 / y,y,x)) \ L(1 / y,y,x) = L(1 / y,y,x) / T(x / y,x \ 1).
(x / y) * L(1 / z,z,y \ x) = (x / y) / z.
a(x,y,z) / u = L(1 / u,u,a(x,y,z)) * a(x,y,z).
L(1 / x,x,a(y,z,u)) * a(y,z,u) = a(y,z,u) / x.
R(K(x,L(1 / y,y,z) * z) / z,z,L(1 / y,y,z)) = L(1 / y,y,z) / T(z / y,x).
x * L(1 / R(y,z,y),y,x) = x / R(y,z,y).
T(x,1 / y) = L(1 / y,y,x) \ (x / y).
L(1 / x,x,y) \ (y / x) = T(y,1 / x).
L(x \ (x / y),z,u) = L(L(1 / y,z,u),y,x).
L(L(1 / x,y,z),x,u) = L(u \ (u / x),y,z).
L(1 / (x \ y),x \ y,y) = y \ x.
L(1 / (x * y),x * y,y) = y \ R(1 / x,x,y).
K(x,y) * L(1 / z,z,x) = x \ (T(x,y) / z).
L(x \ 1,x,x \ y) = L(1 / x,x,y).
L(1 / x,x,x * y) = L(x \ 1,x,y).
L(1 / R(a(x,y,z),u,w),R(a(x,y,z),u,w),v5) = v5 \ (R(a(x,y,z),u,w) \ v5).
(x \ (x / y)) * ((1 / y) \ z) = (z / (1 / y)) * L(1 / y,y,x).
T((x * y) \ (x * (y / z)),(y / z) \ y) = (L(L(1 / z,z,y),y,x) \ 1) \ 1.
R(x,y,z) \ (R(x,y,z) / z) = L(1 / z,z,x).
L(1 / L(x,x \ 1,x \ y),(y * (x \ 1)) \ y,y) = y \ (y * (x \ 1)).
L(1 / x,x,y) = ((x \ y) * x) \ (x \ y).
((x \ y) * x) \ (x \ y) = L(1 / x,x,y).
(x \ y) / L(1 / x,x,y) = (x \ y) * x.
L(1 / x,x,y) \ (x \ y) = T((x \ y) * x,x \ 1).
1 / L(1 / x,x,y) = L(1 / x,x,x \ y) \ 1.
L(1 / x,x,x \ y) \ 1 = 1 / L(1 / x,x,y).
(x * (y \ (y / x))) * (x \ 1) = L(1 / x,x,y).
(((x \ 1) * y) * x) \ ((x \ 1) * y) = L(1 / x,x,y).
L(1 / x,x,y * z) = L(x \ 1,x,(x \ y) * z).
L(x \ 1,x,(x \ y) * z) = L(1 / x,x,y * z).
L(L(x,y,y) \ 1,L(x,y,y),y) = L(1 / L(x,y,y),L(x,y,y),(y \ 1) \ x).
L(1 / L(x,y,y),L(x,y,y),(y \ 1) \ x) = L(L(x,y,y) \ 1,L(x,y,y),y).
(1 / x) * (x / T(y,y \ 1)) = L(L(y \ 1,y,x),x,x \ 1).
L(L(x \ 1,x,y),y,y \ 1) = (1 / y) * (y / T(x,x \ 1)).
a(x,y,z) * L(u \ 1,u,a(x,y,z)) = u \ a(x,y,z).
L(1 / x,x,y) \ (y / x) = T(y,x \ 1).
(x \ y) * K(L(1 / x,x,y),L(1 / x,x,y) \ (x \ y)) = L(1 / x,x,y) * ((x \ y) * x).
a(L(1 / x,x,y),L(1 / x,x,y) \ (x \ y),L(1 / x,x,y)) * (x \ y) = T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)).
x \ (R(y,x,y \ 1) \ x) = (x * T(y,x)) \ x.
a(L(x \ 1,x,y),z,u) = a(y \ (x \ y),z,u).
a(x \ (y \ x),z,u) = a((y * x) \ x,z,u).
a((x * y) \ y,z,u) = a(y \ (x \ y),z,u).
a(x,L(y \ 1,y,z),u) = a(x,z \ (y \ z),u).
a(x,y \ (z \ y),u) = a(x,(z * y) \ y,u).
a(x,(y * z) \ z,u) = a(x,z \ (y \ z),u).
a(x,y \ (z \ y),z \ 1) = a(x,z \ 1,(y * z) \ y).
R(x,L(y \ 1,y,z),u) = R(x,z \ (y \ z),u).
R(x,y \ (z \ y),u) = R(x,(z * y) \ y,u).
R(x,(y * z) \ z,u) = R(x,z \ (y \ z),u).
R(x,y,L(z \ 1,z,u)) = R(x,y,u \ (z \ u)).
R(x,y,x \ (y \ x)) \ x = y * ((x * y) \ x).
R(x,y,z \ (u \ z)) = R(x,y,(u * z) \ z).
R(x,y,(z * u) \ u) = R(x,y,u \ (z \ u)).
x * ((x * a(y,z,u)) \ x) = a(y,z,u) \ x.
L(a(x,y,z) \ 1,a(x,y,z),u) = u \ (a(x,y,z) \ u).
(a(x,y,z) * u) \ u = u \ (a(x,y,z) \ 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 * y) \ (a(y,z,u) \ (x * y)) = (y * (x * a(y,z,u))) \ (y * x).
(x * (y * a(x,z,u))) \ (x * y) = (y * x) \ (a(x,z,u) \ (y * x)).
R(x,y,z \ (1 / ((u * w) \ w))) = R(x,y,z \ ((w \ (w / u)) \ 1)).
K(x,y) * ((x * ((z * x) \ z)) \ 1) = (x * ((z * x) \ z)) \ K((x * ((z * x) \ z)) * ((z \ (z / x)) \ 1),y).
(x * ((y * x) \ y)) \ K((x * ((y * x) \ y)) * ((y \ (y / x)) \ 1),z) = K(x,z) * ((x * ((y * x) \ y)) \ 1).
a(x,y,z * (u * (w \ u))) = a(x,y,z * ((u \ w) \ u)).
a(x,y,z * ((u \ w) \ u)) = a(x,y,z * (u * (w \ u))).
(x * ((y * x) \ x)) \ x = T((y \ 1) \ 1,x).
a((R(x,x \ 1,y) * y) \ y,z,u) = a(y \ ((x \ 1) * y),z,u).
a(x \ (L(y,x,x) \ x),z,u) = a(((x \ 1) \ y) \ x,z,u).
(x \ (a(y,z,u) \ x)) * (a(y,z,u) * x) = x.
x / (a(y,z,u) * x) = x \ (a(y,z,u) \ x).
(a(x,y,z) \ 1) \ x = x * a(x,y,z).
a(x,y,z) * x = (a(x,y,z) \ 1) \ x.
(a(x,y,z) \ 1) \ x = a(x,y,z) * x.
((x \ (a(y,z,u) \ x)) \ 1) * R(w,a(y,z,u),x) = R(a(y,z,u) * w,a(y,z,u),x).
R(x \ (a(y,z,u) \ x),x,x) = x / (a(y,z,u) / (x \ 1)).
L(x,x \ 1,x * y) \ 1 = 1 / L(x,x \ 1,y).
L(x,x \ 1,y) \ 1 = 1 / L(x,x \ 1,x \ y).
1 / L(x,x \ 1,x \ y) = L(x,x \ 1,y) \ 1.
((x * y) * x) \ (x * y) = T((y * x) \ y,x).
L(x \ 1,x,x * y) = T((y * x) \ y,x).
T((x * y) \ x,y) = L(y \ 1,y,y * x).
T((((x \ L(x,y,z)) * (x \ u)) * x) \ ((x \ L(x,y,z)) * (x \ u)),x) = L(x \ 1,x,(x \ L(x,y,z)) * u).
T(x \ (R(x,y,y) / y),L(y,y,x)) = L(L(y,y,x) \ 1,L(y,y,x),L(y,y,x) * (R(x,y,y) / y)).
L(L(x,x,y) \ 1,L(x,x,y),L(x,x,y) * (R(y,x,x) / x)) = T(y \ (R(y,x,x) / x),L(x,x,y)).
T((R(x,y,y) * L(y,y,x)) \ R(x,y,y),L(y,y,x)) = L(L(y,y,x) \ 1,L(y,y,x),y * x).
R(x,x \ (y \ x),y) = R(x,y,(y * x) \ x).
R(x,x \ (y \ x),y) = R(x,y,x \ (y \ x)).
L(L(1 / x,x,y \ z) \ y,L(1 / x,x,y \ z),y \ z) = ((z / y) / x) \ z.
x * L(R(1 / y,z,y),y,x) = x / R(y,z,y).
L(x \ (x / y),z,u) = L(L(1 / y,y,x),z,u).
L(L(1 / x,x,y),z,u) = L(y \ (y / x),z,u).
L(K(x,y) * (1 / z),z,x) = x \ (T(x,y) / z).
R(x \ (x / L(y,z,y)),z,y) = L(1 / y,y,x).
x \ (R(y,x,y \ 1) \ x) = (y * x) \ x.
x * ((y * x) \ x) = R(y,x,y \ 1) \ x.
R(x,y,x \ 1) \ y = y * ((x * y) \ y).
L((x * y) \ y,y,y \ 1) = (1 / y) * (R(x,y,x \ 1) \ y).
a(x,y,z) \ (u \ a(x,y,z)) = (u * a(x,y,z)) \ a(x,y,z).
(x * a(y,z,u)) \ a(y,z,u) = a(y,z,u) \ (x \ a(y,z,u)).
R(R(1 / x,y,x \ 1),R(x,y,x \ 1),y * ((x * y) \ y)) = (R(x,y,x \ 1) \ y) / y.
(x * y) \ T(y,x \ 1) = (R(x,y,x \ 1) \ y) / y.
(R(x,y,x \ 1) \ y) / y = (x * y) \ T(y,x \ 1).
R(x,y \ (z \ y),L(z,z,y)) = R(x,R(z,z,y),L(z \ 1,z,y)).
R(x,R(y,y,z),L(y \ 1,y,z)) = R(x,z \ (y \ z),L(y,y,z)).
x / R(y,x,y) = (x / (x * y)) * x.
L(x,y,(y * x) \ y) = (y / R(x,y,x)) \ y.
a(x,y,(R(z,u,w) / (R(z,u,w) * v5)) * L(z,u,w)) = a(x,y,R(z,u,w) / R(v5,R(z,u,w),v5)).
a(x,y,R(z,u,w) / R(v5,R(z,u,w),v5)) = a(x,y,(R(z,u,w) / (R(z,u,w) * v5)) * L(z,u,w)).
L(x \ (x / y),L(z / u,w,v5),v6) = L(L(1 / y,y,x),L(u \ z,w,v5),v6).
L(L(1 / x,x,y),L(z \ u,w,v5),v6) = L(y \ (y / x),L(u / z,w,v5),v6).
L(K(x,y) / z,z,x) = x \ (T(x,y) / z).
(x \ (T(x,y) / z)) * z = z * L(z \ K(x,y),z,x).
x * L(x \ K(y,z),x,y) = (y \ (T(y,z) / x)) * x.
R(x \ (x / L(y,z,y)),z,y) = x \ (x / y).
x * (y \ (y / x)) = R(x * (y \ (y / x)),z,x).
R(x * (y \ (y / x)),z,x) = x * (y \ (y / x)).
x \ (x / (y \ K(z,y))) = L(T(y,z),y \ 1,x).
L(1 / x,x,y * z) = L(x \ 1,x,z * (x \ y)).
L(x \ 1,x,y * (x \ z)) = L(1 / x,x,z * y).
L(x \ 1,x,y * (x \ z)) = L(1 / x,x,y * z).
T(L(1 / x,x,y),x) = (((1 / x) * y) * x) \ ((x \ 1) * y).
(((1 / x) * y) * x) \ ((x \ 1) * y) = T(L(1 / x,x,y),x).
x * ((y * x) \ T(y,z)) = (y \ (T(y,z) / x)) * x.
(x \ (T(x,y) / z)) * z = z * ((x * z) \ T(x,y)).
x \ (a(y,z,u) \ T(x,w)) = (x * a(y,z,u)) \ T(x,w).
(x * a(y,z,u)) \ T(x,w) = x \ (a(y,z,u) \ T(x,w)).
T(x \ (T(x,y) / z),z) = (x * z) \ T(x,y).
T((x / y) / x,y) = (x * y) \ T(x,y \ 1).
(x * y) \ T(x,y \ 1) = T((x / y) / x,y).
T(T((x / y) / x,y),((x * y) \ x) * x) = L(L(y \ 1,y,x),x,(x * y) \ x).
(x * L(a(x,y,z),u,w)) \ x = L(a(x,y,z),u,w) \ 1.
L(x,y,((z * u) \ z) \ w) = L(x,y,(z \ (u \ z)) \ w).
L(x,y,z * ((u * w) \ u)) = L(x,y,z * (u \ (w \ u))).
a(((x * y) \ x) * z,u,w) = a((x \ (y \ x)) * z,u,w).
a(((x * y) \ x) \ z,u,w) = a((x \ (y \ x)) \ z,u,w).
a(L(x,x,y),z,u) = a((y \ (y / x)) \ 1,z,u).
a(L(x \ y,x \ y,y),z,u) = a((y \ x) \ 1,z,u).
a(L(x,x,y),z,u) = a((y \ (x \ y)) \ 1,z,u).
a(L(T(x * K(y,x),z),T(x * K(y,x),z),y * x),u,w) = a(((y * x) \ (y * K(z,x))) \ 1,u,w).
a(x * ((y * z) \ y),u,w) = a(x * (y \ (z \ y)),u,w).
a(x \ ((y * z) \ y),u,w) = a(x \ (y \ (z \ y)),u,w).
L(x,((y * z) \ y) \ u,w) = L(x,(y \ (z \ y)) \ u,w).
L(x,((y * z) \ z) \ u,w) = L(x,(z \ (z / y)) \ u,w).
L(x,y * ((z * u) \ z),w) = L(x,y * (z \ (u \ z)),w).
a(x,((y * z) \ y) * u,w) = a(x,(y \ (z \ y)) * u,w).
a(x,((y * z) \ z) \ u,w) = a(x,(z \ (z / y)) \ u,w).
R(x,y * ((z * u) \ z),w) = R(x,y * (z \ (u \ z)),w).
R(x,y,((z * u) \ z) \ w) = R(x,y,(z \ (u \ z)) \ w).
R(x,y,z * ((u * w) \ u)) = R(x,y,z * (u \ (w \ u))).
a(x,y,((z * u) \ z) * w) = a(x,y,(z \ (u \ z)) * w).
a(x,y,((z * u) \ z) \ w) = a(x,y,(z \ (u \ z)) \ w).
a(x,y,z \ ((u * w) \ u)) = a(x,y,z \ (u \ (w \ u))).
a(x,y,z * ((u * w) \ u)) = a(x,y,z * (u \ (w \ u))).
K(x,y) / ((z * x) \ z) = (z \ (z / x)) \ K(x,y).
(x \ (x / y)) \ K(y,x) = 1 / ((y * x) \ x).
a(x,y,z) \ (u \ a(x,y,z)) = L(u \ 1,u,a(x,y,z)).
L(x \ 1,x,a(y,z,u)) = a(y,z,u) \ (x \ a(y,z,u)).
L((x \ 1) * a(y,z,u),x,a(y,z,u)) = x \ a(y,z,u).
L(a(x,y,z) \ 1,a(x,y,z),u) * u = a(x,y,z) \ u.
(a(x,y,z) * u) \ T(u,w) = u \ (a(x,y,z) \ T(u,w)).
L(x,y,(z \ (u \ z)) \ w) = L(x,y,((u * z) \ z) \ w).
L(x,y,((z * u) \ u) \ w) = L(x,y,(u \ (z \ u)) \ w).
L(x,y,z * ((u * w) \ w)) = L(x,y,z * (w \ (u \ w))).
L(x,(y * ((z * u) \ z)) * L(w,y * ((z * u) \ z),y * (z \ (u \ z))),v5) = L(x,((y * ((z * u) \ z)) \ 1) \ w,v5).
a(x,(y * ((z * u) \ z)) * L(w,y * ((z * u) \ z),y * (z \ (u \ z))),v5) = a(x,((y * ((z * u) \ z)) \ 1) \ w,v5).
a((x \ (y \ x)) \ z,u,w) = a(((y * x) \ x) \ z,u,w).
a(((x * y) \ y) \ z,u,w) = a((y \ (x \ y)) \ z,u,w).
a(x * ((y * z) \ z),u,w) = a(x * (z \ (y \ z)),u,w).
L(x,L(y \ 1,y,z) \ u,w) = L(x,(z \ (y \ z)) \ u,w).
L(x,((y * z) \ z) \ u,w) = L(x,(z \ (y \ z)) \ u,w).
L(x,(y \ (z \ y)) \ 1,z) = L(x,z,((y * z) \ y) \ 1).
L(x,(y \ (y / (z \ K(u,z)))) \ w,v5) = L(x,R(z,z \ 1,y) \ w,v5).
L(x,y * ((z * u) \ u),w) = L(x,y * (u \ (z \ u)),w).
a(x,((y * z) \ z) \ u,w) = a(x,(z \ (y \ z)) \ u,w).
R(x,y * (z \ (u \ z)),w) = R(x,y * ((u * z) \ z),w).
R(x,y * ((z * u) \ u),w) = R(x,y * (u \ (z \ u)),w).
R(x,y,((z * u) \ u) \ w) = R(x,y,(u \ (z \ u)) \ w).
R(x,y,z * ((u * w) \ w)) = R(x,y,z * (w \ (u \ w))).
L(x,y,R(z,u * ((w * v5) \ w),u * (w \ (v5 \ w))) * (u * ((w * v5) \ w))) = L(x,y,((u * ((w * v5) \ w)) \ 1) \ z).
a(x,y,(z \ (u \ z)) * w) = a(x,y,((u * z) \ z) * w).
a(x,y,((z * u) \ u) * w) = a(x,y,(u \ (z \ u)) * w).
a(x,y,(z / (u * z)) * w) = a(x,y,(z \ (u \ z)) * w).
a(x,y,((z * u) \ u) \ w) = a(x,y,(u \ (z \ u)) \ w).
a(x,y,((z * u) \ R(z,u,u)) \ w) = a(x,y,(z \ (L(u,u,z) \ z)) \ w).
a(x,y,z * (u \ (w \ u))) = a(x,y,z * ((w * u) \ u)).
a(x,y,z * ((u * w) \ w)) = a(x,y,z * (w \ (u \ w))).
a(x,y,z) \ u != w * u | L(a(x,y,z) \ 1,a(x,y,z),u) = w.
x \ R(L(a(y,z,u) \ 1,a(y,z,u),1 / x),x,x \ 1) = T(a(y,z,u) \ (1 / x),x).
1 / ((x \ (a(y,z,u) \ T(x,w))) \ T(T(x,w),a(y,z,u) * x)) = L((a(y,z,u) * x) \ 1,T(x,w),(a(y,z,u) * x) \ 1).
L(x,y,R(1 / z,z,u) \ w) = L(x,y,(u \ (z \ u)) \ w).
L(x,y,z * (u \ (z \ u))) = L(x,y,u \ L(u,z,z)).
L(x,y,z \ L(z,u,u)) = L(x,y,(z \ (u \ z)) * u).
L(x,y,(z \ (u \ z)) * u) = L(x,y,z \ L(z,u,u)).
a(x * ((y * x) \ x),z,u) = a(y \ x,z,u).
a(x * (y \ (x \ y)),z,u) = a(y \ L(y,x,x),z,u).
a(x \ y,z,u) = a(((x * y) \ y) * y,z,u).
a(((x * y) \ y) * y,z,u) = a(x \ y,z,u).
a(L((x \ 1) * y,x,y),z,u) = a(x \ y,z,u).
a(x \ L(x,y,y),z,u) = a((x \ (y \ x)) * y,z,u).
a((x \ (y \ x)) * y,z,u) = a(x \ L(x,y,y),z,u).
L(x,(y \ (z \ y)) \ 1,z) = L(x,z,(y \ (z \ y)) \ 1).
L(x,y * (z \ (y \ z)),u) = L(x,z \ L(z,y,y),u).
a(x,(y \ (L(z,u,z) \ y)) \ 1,w) = a(x,R(z,z,y),w).
R(x,y * (z \ (y \ z)),u) = R(x,z \ L(z,y,y),u).
R(x,y,z * ((u * z) \ z)) = R(x,y,u \ z).
R(x,y,z * (u \ (z \ u))) = R(x,y,u \ L(u,z,z)).
a(x,y,((z * u) \ u) * u) = a(x,y,z \ u).
a(x,y,R((z \ 1) * u,z,u)) = a(x,y,z \ u).
a(x,y,L((z \ 1) * u,z,u)) = a(x,y,z \ u).
a(x,y,z \ u) = a(x,y,L(z \ 1,z,u) * u).
a(x,y,L(z \ 1,z,u) * u) = a(x,y,z \ u).
a(x,y,L(1 / z,z,u) * (z \ u)) = a(x,y,z \ (z \ u)).
a(x,y,z \ L(z,u,u)) = a(x,y,(z \ (u \ z)) * u).
a(x,y,(z \ (u \ z)) * u) = a(x,y,z \ L(z,u,u)).
a(x,y,z \ L(z,u,u)) = a(x,y,u * (z \ (u \ z))).
a(x,y,z * (u \ (z \ u))) = a(x,y,u \ L(u,z,z)).
a(x,y,(z \ K(u,u * z)) * (u \ T((z \ 1) \ u,u))) = a(x,y,u \ L(u,z \ K(u,u * z),z \ K(u,u * z))).
a(x,y,z \ L(z,u \ K(z,z * u),u \ K(z,z * u))) = a(x,y,(u \ K(z,z * u)) * (z \ T((u \ 1) \ z,z))).
a(x,(y \ (z \ y)) \ 1,u) = a(x,R(z,z,y),u).
a(x,R(y,y,z),u) = a(x,(z \ (y \ z)) \ 1,u).
a(x,L(y,y,z),u) = a(x,(z \ (y \ z)) \ 1,u).
R(x * (y \ a(y,y,z)),y,z) = R(x,y,z) * (y \ 1).
a(x \ ((y / (y * x)) \ 1),z,u) = a(x \ R(x,x,y),z,u).
a(x \ R(x,x,y),z,u) = a(x \ ((y / (y * x)) \ 1),z,u).
x * (((y \ x) / ((y \ x) * y)) * y) = (1 / y) \ (x / y).
x * (((x / y) / x) * y) = (1 / y) \ (x / y).
(((x / y) / x) * y) * T(x,((x / y) / x) * y) = (1 / y) \ (x / y).
(L(x,y,y) \ x) * T(x,y) = (1 / y) * (x * y).
a(x,x,y) * T(y,x) = (1 / x) * (y * x).
T(x * a(y,y,x),y) = (1 / y) * (x * y).
(x / R(x,y,z)) * (x / R(x,y,z)) = x * (x * R(x \ (x \ 1),y,z)).
R(x,x,x \ (x \ y)) * ((x * x) \ y) = x \ y.
(x / (y * ((y * y) \ x))) * ((y * y) \ x) = y \ x.
(1 / x) * (x \ y) = L((x * x) \ y,x,x \ (x \ 1)).
L((x * x) \ y,x,x \ (x \ 1)) = (1 / x) * (x \ y).
a(x / y,x / y,(y \ x) \ (z \ u)) \ (x / y) = (u / z) / ((1 / (x / y)) * (u / z)).
L(x,y,L((z / u) \ T(u,w),z / u,z / u)) = L(x,y,z \ (u * u)).
x * a(a(y,z,u),x,x \ 1) = L(x,x,a(y,z,u)).
a(a(x,y,z),u,u \ 1) * u = L(u,u,a(x,y,z)).
x * y != L(y,y,a(z,u,w)) | x = a(y,y,a(z,u,w)).
a(a(x,y,z),u,u \ 1) = a(u,u,a(x,y,z)).
(x / y) \ (x * (y * ((x * y) \ x))) = L(y,x \ (y \ x),x).
L(T(1 / x,x),x,y) = (((1 / x) * y) * x) \ ((x \ 1) * y).
(((1 / x) * y) * x) \ ((x \ 1) * y) = L(T(1 / x,x),x,y).
L(x,y,R(z,z,u)) = L(x,y,(u \ (z \ u)) \ 1).
L(x,y,L(z,z,u)) = L(x,y,(u \ (z \ u)) \ 1).
a(x,y,z \ (z \ u)) = a(x,y,L(z \ 1,z,u) * (z \ u)).
a(x,y,L(z \ 1,z,u) * (z \ u)) = a(x,y,z \ (z \ u)).
a(x \ R(x,x,y),z,u) = a(x \ (((y * x) \ y) \ 1),z,u).
(((1 / x) * y) * x) \ ((x \ 1) * y) = L(x \ 1,x,y).
L(L(x \ 1,x,y),((1 / x) * y) * x,(((1 / x) * y) * x) \ 1) = (1 / (((1 / x) * y) * x)) * ((x \ 1) * y).
a(x,y,L((((z * u) \ z) \ 1) \ 1,((z * u) \ z) \ 1,u) * (((z * u) \ z) * u)) = a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)).
(a(x,y,z) \ (x \ R(x,y,z))) \ 1 = x * (R(x,y,z) \ a(x,y,z)).
R(x,x,R(y,z,u)) \ x = R(R(x,x,y) \ x,z,u).
R(R(x,x,y) \ x,z,u) = R(x,x,R(y,z,u)) \ x.
R(R(x,x,y) \ x,z,u) = R(x,x,L(y,z,u)) \ x.
a(x \ 1,x,L(y,z,u)) = R(R(x,x,y) \ x,z,u).
R(R(x,x,y) \ x,z,u) = a(x \ 1,x,L(y,z,u)).
R(a(x,x,y) \ 1,z,u) = a(x \ 1,x,L(y,z,u)).
a(x \ 1,x,L(y,z,u)) = R(a(x,x,y) \ 1,z,u).
R(a(x \ 1,x,y),z,u) = a(x \ 1,x,L(y,z,u)).
a(x \ 1,x,L(y,z,u)) = R(a(x \ 1,x,y),z,u).
(x * y) * a(z \ 1,z,L(u,x,y)) = (a(z \ 1,z,u) * x) * y.
L(a(x \ 1,x,y),z,u) = a(x \ 1,x,L(y,z,u)).
a(x \ 1,x,L(y,z,u)) = L(a(x \ 1,x,y),z,u).
x * a(y \ 1,y,L(z,z,z \ x)) = L(z,y,y) * (z \ x).
a(x \ 1,x,L(y,z,u)) = L(a(x,x,y) \ 1,z,u).
a(x \ 1,x,L(y,z,u)) = L(R(x,x,y) \ x,z,u).
L(R(x,x,y) \ x,z,u) = a(x \ 1,x,L(y,z,u)).
a(x \ 1,x,L(y,z,u)) = L(y \ L(y,x,x),z,u).
L(x \ L(x,y,y),z,u) = a(y \ 1,y,L(x,z,u)).
L(R(x,x,y) \ x,z,u) = R(x,x,L(y,z,u)) \ x.
R(R(x,x,y) \ x,z,u) = L(R(x,x,y) \ x,z,u).
L(R(x,x,y) \ x,z,u) = R(R(x,x,y) \ x,z,u).
x * a(y \ 1,y,L(z,z,x)) = L(z,y,y) * (z \ x).
R(x,x,R(y,z,u)) / x = R(R(x,x,y) / x,z,u).
R(R(x,x,y) / x,z,u) = R(x,x,R(y,z,u)) / x.
R(R(x,x,y) / x,z,u) = x \ R(x,x,R(y,z,u)).
R(x \ R(x,x,y),z,u) = x \ R(x,x,R(y,z,u)).
R(x \ R(x,x,y),z,u) = x \ R(x,x,L(y,z,u)).
R(x \ R(x,x,y),z,u) = a(x,x,L(y,z,u)).
a(x,x,L(y,x,z)) = (R(x,x,y) * z) / (x * z).
(R(x,x,y) * z) / (x * z) = a(x,x,L(y,x,z)).
R(a(x,x,y),z,u) = a(x,x,L(y,z,u)).
a(x,x,L(y,z,u)) = R(a(x,x,y),z,u).
a(x,x,L(y,z,u)) * R(w,z,u) = R(a(x,x,y) * w,z,u).
a(x,x,L(y,z,z \ 1)) / (z \ 1) = a(x,x,y) * z.
(a(x,x,y) * z) \ a(x,x,L(y,z,z \ 1)) = z \ 1.
R(x,y,z) \ a(u,u,L(w,y,z)) = R(x \ a(u,u,w),y,z).
x * a(y,y,L(z,u,u \ x)) = (a(y,y,z) * u) * (u \ x).
x \ a(y,y,L(z,x,x \ 1)) = a(y,y,z) * (x \ 1).
L(a(x,x,y),z,u) = a(x,x,L(y,z,u)).
a(x,x,L(y,z,u)) = L(a(x,x,y),z,u).
a(a(x,x,y),z,u) = L(a(x,x,y) \ a(x,x,L(y,z,u)),a(x,x,y),z * u).
L(a(x,x,y) \ a(x,x,L(y,z,u)),a(x,x,y),z * u) = a(a(x,x,y),z,u).
a(x,x,L(y,z,u)) * (T(z,w) * u) = (a(x,x,y) * T(z,w)) * u.
(x * y) \ (R(x,x,z) * y) = a(x,x,L(z,x,y)).
a(x,x,L(y,z,z)) * (1 / z) = a(x,x,y) / z.
a(x,x,L(y,z,x \ 1)) = a(x,x,y).
a(x,x,L(y,z,L(x,u,w))) = a(x,x,y).
a(x,x,L(a(x,y,z) * u,w,v5)) = R(a(x,x,u),w,v5).
a(x,x,L((x \ y) * z,u,w)) = R(a(x,x,y * (x \ z)),u,w).
a(x,x,L(y,y,L(z,y,a(x,x,y)))) = z * L(z \ a(x,x,y),y,a(x,x,y)).
a(x \ 1,x \ 1,L(y,z,x)) = a(x \ 1,x \ 1,y).
(x * y) * a(z,z,L(u,y,x)) = x * (y * a(z,z,u)).
a(x,x,L(y,a(x,x,y) \ z,u)) = (u * (a(x,x,y) \ z)) \ (u * z).
L(x,x,a(y,y,L(z,u,x))) = L(x,x,a(y,y,z)).
L(x,x \ 1,a(y,y,L(z,u,x))) = L(x,x \ 1,a(y,y,z)).
x * a(y,y,L(z,x,x)) = (1 / x) \ a(y,y,z).
(x * y) * a(y,y,L(z,y,x)) = x * R(y,y,z).
x * a(x,x,L(a(y,z,u),w,v5)) = L(x,x,L(a(y,z,u),w,v5)).
L(a(x,x,L(y,z,u)),w,x * y) = L(a(x,x,y),z,u).
a(x,x,L(L(y,z,L(x,u,w)),v5,v6)) = a(x,x,L(y,v5,v6)).
a(x,x,y * (L(x,z,u) \ 1)) = a(x,x,L(x,z,u) \ y).
a(x,x,L(y,x,z)) \ (R(x,x,y) * z) = x * z.
(x * (y * R(x,x,z))) / (x * (y * x)) = a(x,x,L(z,x,y * x)).
x \ (R(y,y,z) * (y \ x)) = a(y,y,L(z,y,y \ x)).
a(x,x,L(y,x,x \ z)) = z \ (R(x,x,y) * (x \ z)).
L(x,x \ 1,a(y,y,L(z,x,x))) = (a(y,y,z) / x) \ a(y,y,L(z,x,x)).
a(x,x,L(y,x,z)) \ (z * R(x,x,y)) = z * x.
(x * y) * a(y,y,L(z,y,x)) != x * u | R(y,y,z) = u.
a(x,x,L(y,x,x \ (z / R(x,x,y)))) \ (z / x) = x * (x \ (z / R(x,x,y))).
(x * (y * R(x,x,z))) / (x * (y * x)) = a(x,x,L(z,x,y)).
a(x,x,y) * z = (1 / z) \ a(x,x,L(y,z,z \ 1)).
(1 / x) \ a(y,y,L(z,x,x \ 1)) = a(y,y,z) * x.
a(x,x,L(y,z,u)) = a(x,x,L(a(x,w,v5) * y,z,u)).
a(x,x,L(a(x,y,z) * u,w,v5)) = a(x,x,L(u,w,v5)).
a(x,x,L(L(y,z,u),w,x * y)) = L(a(x,x,y),z,u).
a(x,x,L(y * a(x,z,u),w,v5)) = a(x,x,L(y,w,v5)).
a(x,x,L(y,z,u)) = a(x,x,L(L(y,z,u),w,x * y)).
a(x,x,L(L(y,z,u),w,x * y)) = a(x,x,L(y,z,u)).
a(x,x,y * ((L(x,z,u) \ x) * K(w,v5))) = a(x,x,L(x,z,u) \ (y * x)).
a(x,x,L(y,z,u)) * R(L(a(x,x,y),w,v5) \ 1,z,u) = R(L(a(x,x,y),w,v5) \ a(x,x,y),z,u).
a(x,x,y) * a(z,z,L(u,y,L(y,x,x) \ 1)) = (a(z,z,u) * y) * (y \ a(x,x,y)).
R(a(x,x,y) * a(z,z,L(u,x,x \ a(x,x,y))),x,y) = R(a(z,z,u) * x,x,y) * (x \ 1).
L(x * a(y,y,x),y,y \ 1) = a(y,y,x) * L(x,y,y \ 1).
a(a(x,y,z),a(x,y,z),u \ 1) = a(a(x,y,z) \ 1,a(x,y,z),u).
a(a(x,y,z) \ 1,a(x,y,z),u) = a(a(x,y,z),a(x,y,z),u \ 1).
a(x \ 1,x,L(y,z,u)) * w = w * R(y \ L(y,x,x),z,u).
L((x / y) \ x,x / y,x / y) = ((y / x) \ 1) \ x.
L(x,y / x,y / x) = ((x / y) \ 1) \ y.
((x / y) \ 1) \ y = L(x,y / x,x \ y).
L(x,y / x,x \ y) = ((x / y) \ 1) \ y.
(x / y) \ L(T(y,y \ x),z / y,z / y) = (y \ x) \ (((y / z) \ 1) \ z).
((x / y) \ 1) \ y = L(x,x \ y,x \ y).
L(x,x \ y,x \ y) = ((x / y) \ 1) \ y.
L(((x / y) \ 1) \ y,z,u) = L(L(x,z,u),x \ y,x \ y).
L(L(x,y,z),x \ u,x \ u) = L(((x / u) \ 1) \ u,y,z).
a(((x / y) \ 1) \ y,x,z) = a(x,L(x,x \ y,x \ y),z).
a(x,L(x,x \ y,x \ y),z) = a(((x / y) \ 1) \ y,x,z).
L(x * K(y,z),x \ u,x \ u) = (((x / u) \ 1) \ u) * K(y,z).
L(x * K(y,z),K(z,y) * (x \ u),(x * K(y,z)) \ u) = (((x * K(y,z)) / u) \ 1) \ u.
((L(x,y,x) / z) \ 1) \ z = L(L(x,y,x),L(x,y,x) \ z,x \ z).
L(L(x,y,x),L(x,y,x) \ z,x \ z) = ((L(x,y,x) / z) \ 1) \ z.
x \ (((x / y) \ 1) \ y) = (x / y) * (y / x).
(x * y) \ ((x \ 1) \ y) = ((x * y) / y) * (y / (x * y)).
((x * y) / y) * (y / (x * y)) = (x * y) \ ((x \ 1) \ y).
x \ (((x / (y \ x)) \ 1) \ (y \ x)) = y * ((y \ x) / x).
x * (y / (x * y)) = (x * y) \ ((x \ 1) \ y).
(x * y) \ ((x \ 1) \ y) = x * (y / (x * y)).
(x * y) * (x * (y / (x * y))) = (x \ 1) \ y.
(x * (y / (x * y))) * (x * y) = (x \ 1) \ y.
(x * K(y \ 1,x)) * (y * (((x \ (y \ x)) * x) / (y * ((x \ (y \ x)) * x)))) = (y \ 1) \ ((x \ (y \ x)) * x).
(x * y) / T((x \ 1) \ y,(x * (y / (x * y))) \ 1) = ((x * (y / (x * y))) * (x * y)) \ (x * y).
L(x * y,x * (y / (x * y)),(x * (y / (x * y))) \ 1) / ((x \ 1) \ y) = 1 / (x * (y / (x * y))).
x \ ((y \ 1) \ (y \ x)) = y * ((y \ x) / x).
x * ((x \ y) / y) = a(x,x \ 1,y).
x * ((x \ y) / y) = x \ (y / ((x \ 1) * y)).
x \ (y / ((x \ 1) * y)) = x * ((x \ y) / y).
x * (y / (x * y)) = a(x,x \ 1,x * y).
a(x,x \ 1,x * y) = x * (y / (x * y)).
K(x,y) * a(1 / z,(1 / z) \ 1,u) = (K(x,y) / z) * (((1 / z) \ u) / u).
a(x \ y,(x \ y) \ 1,y) = (y / x) * (x / y).
a(x,x \ 1,y) \ x = 1 / ((x \ y) / y).
L(x,y,(z \ (u \ z)) * u) = L(x,y,a(u,u \ 1,z)).
a((x \ (y \ x)) * y,z,u) = a(a(y,y \ 1,x),z,u).
a(a(x,x \ 1,y) * z,u,w) = a((x * (y \ (y / x))) * z,u,w).
a((x * (y \ (y / x))) * z,u,w) = a(a(x,x \ 1,y) * z,u,w).
x * (a(y,z,u) \ (x \ a(y,z,u))) = a(x,x \ 1,a(y,z,u)).
a(a(x,x \ 1,y) \ z,u,w) = a((((x \ y) / y) * x) \ z,u,w).
a((((x \ y) / y) * x) \ z,u,w) = a(a(x,x \ 1,y) \ z,u,w).
a(x,x \ 1,y) \ 1 = ((x \ y) / y) \ (x \ 1).
((x \ y) / y) \ (x \ 1) = a(x,x \ 1,y) \ 1.
L(x,x \ (y \ x),y) = a(y,y \ 1,x) \ x.
a(x,x \ 1,y) \ 1 = x \ (1 / ((x \ y) / y)).
x \ (1 / ((x \ y) / y)) = a(x,x \ 1,y) \ 1.
a(x,y,a(z,z \ 1,u) * w) = a(x,y,(z * (u \ (u / z))) * w).
a(x,y,(z * (u \ (u / z))) * w) = a(x,y,a(z,z \ 1,u) * w).
x * (y / (x * y)) = a(x,x \ 1,y * x).
a(x,x \ 1,y * x) = x * (y / (x * y)).
a(1 / x,(1 / x) \ 1,y) \ (1 / x) = 1 / ((R(x,x,y) \ x) * x).
a(x,x \ 1,y * x) = x * R(1 / x,x,y).
(x * (y / (x * y))) * y = x \ ((x \ 1) \ y).
x \ R(x,x \ 1,y) = x * ((x \ y) / y).
R(x * ((x \ y) / y),z,x) = x \ R(x,x \ 1,y).
x \ R(x,x \ 1,y) = a(x,x \ 1,y).
a(x,x \ 1,y) * x = R(x,x \ 1,y).
R(a(x,x \ 1,y),x,x \ z) * z = R(x,x \ 1,y) * (x \ z).
L(x,x \ (y \ x),y) = L(x,y \ 1,y).
L(T(x,y),x \ (z \ x),z) = T(L(x,z \ 1,z),y).
a(x,x \ 1,y * x) \ 1 = (x \ 1) * R(x,x,y).
(x \ ((x \ 1) \ y)) * T(y \ 1,x * (y / (x * y))) = ((1 / y) * (x * (y / (x * y)))) * y.
x \ ((x \ 1) \ y) = y * (x * (y / (x * y))).
x * (y * (x / (y * x))) = y \ ((y \ 1) \ x).
(x * (y / (x * y))) / R(y,x * (y / (x * y)),y) = ((x * (y / (x * y))) / (x \ ((x \ 1) \ y))) * (x * (y / (x * y))).
x \ (y \ ((y \ 1) \ x)) = y * (x / (y * x)).
R(1 / x,x,y * (x / (y * x))) = (y * (x / (y * x))) / (y \ ((y \ 1) \ x)).
T((x \ ((x \ 1) \ y)) * (y \ 1),y) = R(x * (y / (x * y)),y,y \ 1).
K(x \ y,x) * (((x \ y) \ 1) * y) = x / ((y / x) * (x / y)).
a(x,y,(z / u) * (u / z)) = a(x,y,a(u \ z,u \ z,z \ 1)).
a(x,y,a(z \ u,z \ u,u \ 1)) = a(x,y,(u / z) * (z / u)).
a((x \ y) / y,(x \ y) / y,y) = a(x,x \ 1,y) \ 1.
L(x,y,a(z,z \ 1,u) \ 1) = L(x,y,z \ (((z \ u) / u) \ 1)).
L(x,y,z \ (((z \ u) / u) \ 1)) = L(x,y,a(z,z \ 1,u) \ 1).
a(a(x,x \ 1,y) \ 1,z,u) = a(x \ (((x \ y) / y) \ 1),z,u).
a(x \ (((x \ y) / y) \ 1),z,u) = a(a(x,x \ 1,y) \ 1,z,u).
a(x,y,a(z,z \ 1,u) \ 1) = a(x,y,z \ (((z \ u) / u) \ 1)).
a(x,y,z \ (((z \ u) / u) \ 1)) = a(x,y,a(z,z \ 1,u) \ 1).
x \ (x \ R(x,x \ 1,y)) = R(1 / x,x,x \ y).
L(T(x,y),z \ 1,z) = L(T(x,y),x \ (z \ x),z).
L(T(x,y),x \ (z \ x),z) = L(T(x,y),z \ 1,z).
a(x \ 1,x \ 1,y * x) = (x \ 1) * R(x,x,y).
x \ a(x,x \ 1,y) = R(1 / x,x,x \ y).
R(1 / x,x,x \ y) = x \ a(x,x \ 1,y).
R(1 / (1 / x),1 / x,(1 / x) \ y) = (1 / x) \ a(1 / x,x,y).
(x \ 1) * a(x,x \ 1,y) = R(1 / x,x,x \ y).
R(1 / x,x,x \ R(y,z,u)) = x \ a(x,x \ 1,L(y,z,u)).
L(T(x,y \ 1),y \ 1,y) \ x = y * (x \ (y \ x)).
L(T(x,y),z \ 1,z) \ x = z * ((z \ x) / T(x,y)).
a(1 / x,1 / x,(1 / x) \ y) = (x \ 1) * R(x,x,y).
L(x,y,a(z,z \ 1,u)) = L(x,y,u \ L(u,z,z)).
L(x,y,a(z,z \ 1,u)) = L(x,y,a(z \ 1,z,u)).
L(x,y,a(z \ 1,z,u)) = L(x,y,a(z,z \ 1,u)).
a(a(x,x \ 1,y),z,u) = a(y \ L(y,x,x),z,u).
a(a(x,x \ 1,y),z,u) = a(a(x \ 1,x,y),z,u).
a(a(x \ 1,x,y),z,u) = a(a(x,x \ 1,y),z,u).
a(a(x \ 1,y,y \ 1),z,u) = a(a(y,y \ 1,x),z,u).
x * (y \ (x \ y)) = K(x \ 1,y) * a(x,x \ 1,y).
K(x \ 1,y) * a(x,x \ 1,y) = x * (y \ (x \ y)).
a(x,y,z \ (u * ((u \ w) / T(w,v5)))) = a(x,y,z \ a(u,u \ 1,w)).
x * (y \ (x \ y)) = (y * (x \ 1)) \ (x \ y).
(x * (y \ 1)) \ (y \ x) = y * (x \ (y \ x)).
(x \ y) / (x * (y \ (x \ y))) = y * (x \ 1).
R(x / y,y,x \ (y \ x)) = x * (y \ 1).
R(x,y,(x * y) \ (y \ (x * y))) = (x * y) * (y \ 1).
R(x,x \ y,y \ ((x \ y) \ y)) = y * ((x \ y) \ 1).
R((x * y) / x,x,(x * y) \ y) = (x * y) * (x \ 1).
(x / y) \ (x * (y \ 1)) = (y * (x \ (x / y))) \ 1.
(x * (y \ (y / x))) \ 1 = (y / x) \ (y * (x \ 1)).
((x / y) \ (x * (y \ 1))) \ 1 = y * (x \ (x / y)).
R(x,y,(x * y) \ T(x,y)) = (x * y) * (y \ 1).
R(x,y,(y * x) \ x) = (x * y) * (y \ 1).
(x * y) * (y \ 1) = R(x,y,x \ (y \ x)).
R(x,y,x \ (y \ x)) = (x * y) * (y \ 1).
R(x,y,x \ (y \ x)) = R(x,y,y \ 1).
R(x,y \ x,(y \ x) \ 1) = R(x,y \ x,x \ y).
R(x,x \ (y \ x),y) = R(x,y,y \ 1).
R(x,y,y \ 1) \ x = y * ((x * y) \ x).
a(x \ 1,y,y \ 1) = y * ((x * y) \ x).
(x * ((y * x) \ y)) \ 1 = a(y,x,x \ 1).
(x * ((y * x) \ y)) * z = z * a(y \ 1,x,x \ 1).
x * a(y \ 1,z,z \ 1) = x * (z * ((y * z) \ y)).
R(x * y,x \ K(y,x),(x \ K(y,x)) \ 1) \ (x * y) = (x \ K(y,x)) * (R(y,x,x \ 1) \ (x * y)).
T((x * ((y * x) \ y)) \ x,x) = a(y,x,x \ 1) * x.
a(x \ 1,x \ y,(x \ y) \ 1) = (x \ y) * (y \ x).
a(x \ 1,y,y \ 1) = y * L(y \ 1,y,x).
a(x \ 1,y,y \ 1) / y = L(1 / y,y,x).
T((x * y) \ x,y) * a(x \ 1,y,y \ 1) = ((x * y) \ x) * (((x * y) \ x) * y).
a(L(x \ 1,y,z),u,u \ 1) = u * ((L(x,y,z) * u) \ L(x,y,z)).
x * ((L(y,z,u) * x) \ L(y,z,u)) = a(L(y \ 1,z,u),x,x \ 1).
(x * ((y * x) \ y)) * x = a(y,x,x \ 1) \ x.
x * (y * ((x * y) \ x)) = (x / y) / (1 / y).
a((x * y) \ 1,x,x \ 1) = L(x \ 1,x,y) * x.
a(x,y,y \ 1) * (y \ 1) = (y * ((x * y) \ x)) \ (y \ 1).
(x * ((y * x) \ y)) \ (x \ 1) = a(y,x,x \ 1) * (x \ 1).
x \ a(y \ 1,x,x \ 1) = L(x \ 1,x,y).
x * L(x \ 1,x,y \ 1) = a(y,x,x \ 1).
a(a(x,y,z) \ 1,u,u \ 1) = L(u,u,a(x,y,z)) \ u.
a(x,y,y \ 1) / y = L(1 / y,y,x \ 1).
L(1 / x,x,y \ 1) = a(y,x,x \ 1) / x.
(x / y) \ ((x / y) / (1 / y)) = L(y,x \ (y \ x),x).
L(x,y \ (x \ y),y) = (y / x) \ ((y / x) / (1 / x)).
x \ a(y,x,x \ 1) = L(x \ 1,x,y \ 1).
L(x \ 1,x,y \ 1) = x \ a(y,x,x \ 1).
L(1 / x,x,a(y,z,u) \ 1) = a(x,x,a(y,z,u)) / x.
R(x,(x * y) \ x,((x * y) \ x) \ 1) = R(x,(x * y) \ x,y).
x * ((y \ x) \ 1) = R(y,y \ x,x \ y).
R(x,x \ y,y \ x) = y * ((x \ y) \ 1).
x \ (y * ((x \ y) \ 1)) = ((x \ y) * (y \ x)) \ 1.
((x \ y) * (y \ x)) \ 1 = x \ (y * ((x \ y) \ 1)).
R(x / (x / y),K(y,y \ x) * (y \ z),z \ (x / (x / y))) = z * (((x / (x / y)) \ z) \ 1).
(x \ (y * ((x \ y) \ 1))) \ y = ((x \ y) * (y \ x)) * y.
(x * y) * (x \ 1) = y / (x * ((x * y) \ y)).
x / (y * ((y * x) \ x)) = (y * x) * (y \ 1).
a(L(x,a(y \ 1,z,z \ 1),a(y \ 1,z,z \ 1)) * (z * ((y * z) \ y)),u,w) = a((a(y \ 1,z,z \ 1) \ 1) \ x,u,w).
a(x,y,L(z,a(u \ 1,w,w \ 1),a(u \ 1,w,w \ 1)) * (w * ((u * w) \ u))) = a(x,y,(a(u \ 1,w,w \ 1) \ 1) \ z).
T((x \ (x / y)) \ 1,y) = a(x,y,y \ 1) * y.
a(x,y,y \ 1) * y = (x \ (x / y)) \ 1.
(x \ (x / y)) \ 1 = a(x,y,y \ 1) * y.
((x \ (x / y)) \ 1) / y = a(x,y,y \ 1).
(x \ (x / y)) \ 1 = y * a(x,y,y \ 1).
x \ ((y \ (y / x)) \ 1) = a(y,x,x \ 1).
L(1 / x,x,y) \ 1 = a(y,x,x \ 1) * x.
L(x \ 1,x,y) \ 1 = x * a(x * y,x,x \ 1).
x * a(x * y,x,x \ 1) = L(x \ 1,x,y) \ 1.
(x \ y) * a(x,x \ y,(x \ y) \ 1) = 1 / (y \ x).
L(x \ 1,x,y) = (x * a(y,x,x \ 1)) \ 1.
(x * a(y,x,x \ 1)) \ 1 = L(x \ 1,x,y).
R(x,y,z) \ ((R(u,y,z) \ R(u / x,y,z)) \ 1) = a(R(u,y,z),R(x,y,z),R(x,y,z) \ 1).
(((x \ (x / y)) \ 1) / y) * (y * T(a(x,y,y \ 1),z)) = T(((x \ (x / y)) \ 1) / y,z) * ((x \ (x / y)) \ 1).
T(((x \ (x / y)) \ 1) / y,z) * ((x \ (x / y)) \ 1) = (((x \ (x / y)) \ 1) / y) * (y * T(a(x,y,y \ 1),z)).
a(a(x,y,y \ 1),z,u) = a(y \ ((x \ (y \ x)) \ 1),z,u).
a(x \ ((y \ (x \ y)) \ 1),z,u) = a(a(y,x,x \ 1),z,u).
L(x,y,a(z,u,u \ 1)) = L(x,y,u \ ((z \ (u \ z)) \ 1)).
L(x,y,z \ ((u \ (z \ u)) \ 1)) = L(x,y,a(u,z,z \ 1)).
x \ (L(1 / x,x,y) \ 1) = a(y,x,x \ 1).
L(x,x \ 1,y) \ x = a(y,x \ 1,(x \ 1) \ 1).
a(x,y \ 1,(y \ 1) \ 1) = L(y,y \ 1,x) \ y.
(x * ((y * x) \ y)) \ 1 = x \ ((y \ (y / x)) \ 1).
a(x \ y,x,x \ 1) * x = 1 / L(1 / x,x,y).
L(x \ 1,x,y) * a(y,x,x \ 1) = x \ 1.
a(x,y,y \ 1) / (1 / y) = 1 / L(1 / y,y,x).
L(x,y,(L(z \ 1,z,u) * z) \ 1) = L(x,y,a(u,z,z \ 1)).
x \ (1 / L(1 / x,x,y)) = a(x \ y,x,x \ 1).
a(x,y,y \ 1) \ (y \ 1) = L(y \ 1,y,x).
a(x,y,y \ 1) \ (y \ 1) = L(y \ 1,y,L(x,z,y)).
L(x \ 1,x,L(y,z,x)) = a(y,x,x \ 1) \ (x \ 1).
L(x,x \ 1,y) \ x = a(y,x \ 1,x).
L(x,x \ 1,y) \ x = a(y,x,x \ 1).
x \ a(y,x,x \ 1) = L(x,x \ 1,y) \ 1.
L(x,x \ 1,y) \ 1 = x \ a(y,x,x \ 1).
a(x,y,y \ 1) * K(y,z) = L(y,y \ 1,x) \ T(y,z).
L(x,x \ 1,y) \ T(x,z) = a(y,x,x \ 1) * K(x,z).
a(x,y,y \ 1) \ y = L(y,y \ 1,x).
a(x,y,y \ 1) \ 1 = y \ L(y,y \ 1,x).
L(x,x \ 1,y \ 1) = a(y,x,x \ 1) * x.
(x * ((y * x) \ y)) * x = L(x,x \ 1,y).
L(x,x \ 1,y) = x * (x * ((y * x) \ y)).
x * (x * ((y * x) \ y)) = L(x,x \ 1,y).
L(x,x \ 1,y) = x * a(y \ 1,x,x \ 1).
x * a(y \ 1,x,x \ 1) = L(x,x \ 1,y).
x * (x * L(x \ 1,x,y)) = L(x,x \ 1,y).
((x * y) \ x) * (((x * y) \ x) * ((x / T(y,y \ 1)) \ x)) = L((x * y) \ x,((x * y) \ x) \ 1,x).
x * (x * L(1 / x,x,y)) = L(x,x \ 1,x \ y).
1 / (x \ a(y,x,x \ 1)) = L(x,x \ 1,y).
L(x \ 1,x,y \ 1) = L(x,x \ 1,y) \ 1.
a(x \ 1,y,y \ 1) = y \ L(y,y \ 1,x).
L(x,x \ 1,y \ 1) = x * a(y,x,x \ 1).
L(x,x \ 1,a(y,z,u) \ 1) = L(x,x,a(y,z,u)).
L(1 / x,x,y) \ 1 = L(x,x \ 1,y \ 1).
L(x,x \ 1,y \ 1) = L(1 / x,x,y) \ 1.
x * a(y \ (1 / (z / (y * z))),x,x \ 1) = L(x,x \ 1,y * (z / (y * z))).
x * a(y \ 1,x,x \ 1) = y \ (y / (x \ 1)).
x \ (x / (y \ 1)) = y * a(x \ 1,y,y \ 1).
x * (x * (y \ (y / x))) = L(x,x \ 1,x \ y).
1 / L(x \ 1,x,y) = L(x,x \ 1,y \ 1).
L(x,x \ 1,y \ 1) = 1 / L(x \ 1,x,y).
L((x \ 1) \ 1,x \ 1,y) = L(x \ 1,x,y \ 1) \ 1.
a(L(x \ 1,x \ 1,y),z,u) = a(L(x \ 1,x,y \ 1),z,u).
L(L(x,y,z) \ 1,L(x,y,z),a(x,u,w) \ 1) = L(x,y,z) \ 1.
L(x \ 1,x,y \ 1) = (y \ (y / (x \ 1))) \ 1.
L(x \ 1,x,(x * y) \ 1) = 1 / L(x,x \ 1,y).
(1 / x) * L(x,x \ 1,y) = a(y \ 1,x,x \ 1).
x * a(y \ x,x,x \ 1) = L(x,x \ 1,x \ y).
a(L(x,x \ 1,y \ 1),z,u) = a(L(x \ 1,x,y) \ 1,z,u).
L(x \ y,(x \ y) \ 1,y \ 1) = (y \ x) \ 1.
L(x,L(y,y \ 1,z \ 1),u) = L(x,L(y \ 1,y,z) \ 1,u).
((x \ 1) \ ((x \ 1) / y)) \ 1 = x \ (x / (y \ 1)).
(x \ (x / (y \ 1))) \ 1 = ((x \ 1) * y) \ (x \ 1).
L(x \ 1,x,(x \ y) \ 1) = L(x \ 1,x,y \ x).
(x \ 1) * ((x \ y) \ 1) = (x \ 1) / ((y \ x) \ 1).
(x \ 1) / ((y \ x) \ 1) = (x \ 1) * ((x \ y) \ 1).
x \ (1 / (y \ (y / x))) = a(x \ y,x,x \ 1).
a(x \ y,x,x \ 1) = x \ (1 / (y \ (y / x))).
T(a(x \ y,x,x \ 1),x) \ (x \ z) = (x \ (1 / (y \ (y / x)))) \ (((1 / (y \ (y / x))) / ((1 / (y \ (y / x))) / x)) \ z).
(x \ (1 / (y \ (y / x)))) \ (((1 / (y \ (y / x))) / ((1 / (y \ (y / x))) / x)) \ z) = T(a(x \ y,x,x \ 1),x) \ (x \ z).
(x * x) * ((y * x) \ y) = L(x,x \ 1,x \ y).
(R(x,y,z) * R(x,y,z)) * ((R(x,y,z) * L(x,u,w)) \ L(x,u,w)) = L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)).
(1 / x) * (y \ (y / (x \ 1))) = a(y \ 1,x,x \ 1).
x * y != L(x,x \ 1,x \ z) | y = x * (z \ (z / x)).
a(x \ y,y,y \ 1) = y * (x \ (x / y)).
x * y != L(x,x \ 1,x \ z) | y = x * L(1 / x,x,z).
a(x \ y,y,y \ 1) = y * L(1 / y,y,x).
x * ((y \ x) \ ((y \ x) / x)) = a(y,x,x \ 1).
R(x,y,z * (u \ (u / z))) = R(x,y,a(z,z,u \ z)).
R(x,y,a(z,z,u \ z)) = R(x,y,z * (u \ (u / z))).
x \ a(y \ x,x,x \ 1) = L(1 / x,x,y).
x * y != a(z,x,x \ 1) | y = L(x \ 1,x,z \ 1).
L(1 / x,x,y) = L(x \ 1,x,(y \ x) \ 1).
L(x \ 1,x,(y \ x) \ 1) = L(1 / x,x,y).
a(a(x \ y,y,y \ 1) \ z,u,w) = a((L(1 / y,y,x) * y) \ z,u,w).
a(x,y,a(z \ u,u,u \ 1) \ w) = a(x,y,(L(1 / u,u,z) * u) \ w).
x \ a(y,x,x \ 1) = L(1 / x,x,y \ x).
L(1 / x,x,y \ x) = x \ a(y,x,x \ 1).
L(L(x,y,y) \ 1,L(x,y,y),R(1 / y,y,x) \ 1) = L(1 / L(x,y,y),L(x,y,y),x / (1 / y)).
L((x * y) \ 1,x * y,(y \ (x * y)) \ 1) = y \ R(1 / x,x,y).
a(x \ (x / (y \ 1)),z,u) = a(((x \ 1) \ (y \ (x \ 1))) \ 1,z,u).
a(((x \ 1) \ (y \ (x \ 1))) \ 1,z,u) = a(x \ (x / (y \ 1)),z,u).
a(x,y \ (y / (z \ 1)),u) = a(x,((y \ 1) \ (z \ (y \ 1))) \ 1,u).
a(x,((y \ 1) \ (z \ (y \ 1))) \ 1,u) = a(x,y \ (y / (z \ 1)),u).
a(x,y,z \ (z / (u \ 1))) = a(x,y,((z \ 1) \ (u \ (z \ 1))) \ 1).
a(x,y,((z \ 1) \ (u \ (z \ 1))) \ 1) = a(x,y,z \ (z / (u \ 1))).
((x * y) \ x) \ 1 = ((x \ 1) * (y \ 1)) \ (x \ 1).
((x \ 1) * (y \ 1)) \ (x \ 1) = ((x * y) \ x) \ 1.
(((x \ 1) * y) \ (x \ 1)) \ 1 = (x * (y \ 1)) \ x.
x * L(x \ 1,x,y \ x) = a(x \ y,x,x \ 1).
(x \ 1) / (y \ 1) = (x \ 1) * ((x \ (x / y)) \ 1).
(x \ 1) * ((x \ (x / y)) \ 1) = (x \ 1) / (y \ 1).
(x \ (y \ 1)) \ 1 = (y * (((y \ 1) \ x) \ 1)) \ y.
(x * (((x \ 1) \ y) \ 1)) \ x = (y \ (x \ 1)) \ 1.
(L(x,y,y \ 1) \ (1 / y)) \ 1 = (y * ((y * x) \ 1)) \ y.
a(x \ y,x,x \ 1) / x = L(1 / x,x,y \ x).
(x \ 1) \ ((x \ 1) / (y \ 1)) = (x \ (x / y)) \ 1.
x * y != x / ((1 / z) \ 1) | y = L(1 / z,z,x).
(x \ (x / (1 / y))) \ 1 = L(1 / y,y,x \ 1).
L(1 / x,x,y \ 1) = (y \ (y / (1 / x))) \ 1.
(x \ (x / (1 / y))) \ 1 = (x \ 1) \ ((x \ 1) / y).
L(1 / x,x,y \ 1) = 1 / L(x,x \ 1,y).
L(1 / x,x \ 1,a(y,z,u)) = L(1 / x,x,a(y,z,u) \ 1).
L(1 / x,x,y \ 1) \ (1 * R(1 \ (1 / L(x,x \ 1,y)),z,u)) = R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y).
((x \ ((y \ 1) * (y * x))) * (((y * (x / (y * x))) \ z) \ 1)) \ (x \ ((y \ 1) * (y * x))) = (z \ ((x \ ((y \ 1) * (y * x))) \ 1)) \ 1.
((x * ((y * x) \ y)) * ((a(y,x,x \ 1) \ z) \ 1)) \ (x * ((y * x) \ y)) = (z \ ((x * ((y * x) \ y)) \ 1)) \ 1.
a(x \ y,x,x \ 1) / x = x \ a(y,x,x \ 1).
L(x,y,z \ (((u \ (u / w)) \ 1) * (u \ 1))) = L(x,y,z \ ((w \ 1) \ (u \ 1))).
a(x \ (((y \ (y / z)) \ 1) * (y \ 1)),u,w) = a(x \ ((z \ 1) \ (y \ 1)),u,w).
(x \ 1) \ ((x \ 1) / (1 / y)) = 1 / (x \ (x / y)).
(x \ a(y,x,x \ 1)) * x = a(x \ y,x,x \ 1).
a(((1 / (x \ (x / y))) * (x \ 1)) \ z,u,w) = a(((x \ 1) / (1 / y)) \ z,u,w).
a(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ 1) = a(u,a(x,y,z),a(x,y,z) \ 1).
a(x,a(y \ z,y,y \ 1),u) = a(x,a(z,y,y \ 1),u).
a(x,y,z \ a(u \ w,u,u \ 1)) = a(x,y,z \ a(w,u,u \ 1)).
L(x \ 1,x,y \ 1) * x = a(x \ y,x,x \ 1).
((x \ y) * (y \ x)) * x = (x / (x \ y)) / (1 / (x \ y)).
(x / (x \ y)) / (1 / (x \ y)) = ((x \ y) * (y \ x)) * x.
L(x,y \ (x \ y),y) = L(x,x \ 1,y).
L(L(x,x \ 1,y),z,u) = L(L(x,z,u),y \ (x \ y),y).
L(L(x,y,z),u \ (x \ u),u) = L(L(x,x \ 1,u),y,z).
L(x \ y,(x \ y) \ 1,y) = L(x \ y,y \ x,y).
L((x * y) \ x,((x * y) \ x) \ 1,x) = L((x * y) \ x,y,x).
x * L(x \ y,y \ x,y) = x / (1 / (x \ y)).
x / (1 / (x \ y)) = y * ((y \ x) * (x \ y)).
x * ((x \ y) * (y \ x)) = y / (1 / (y \ x)).
((x \ y) * (y \ x)) * T(x,(x \ y) * (y \ x)) = y / (1 / (y \ x)).
(x \ y) * (x \ (y * ((x \ y) \ 1))) = 1 / (y \ x).
x * (1 / (y \ x)) = y * (x \ (y * ((x \ y) \ 1))).
x * (y \ (x * ((y \ x) \ 1))) = y * (1 / (x \ y)).
L(x \ 1,x,L(y,z,x)) = L(x \ 1,x,y).
L(x \ 1,x,(x * y) \ z) = L(x \ 1,x,y \ (x \ z)).
(1 / x) * (y \ (y / (x \ 1))) = x * ((y * x) \ y).
x * ((y * x) \ y) = x \ (y \ (y / (x \ 1))).
x \ (y \ (y / (x \ 1))) = x * ((y * x) \ y).
(x * ((y * x) \ y)) * T(x,z) = L(T(x,z),x \ 1,y).
R(x,y,a(z,z,u \ z)) = R(x,y,z * (u \ (z \ u))).
R(x * ((y * x) \ y),T(x,z),T(x,z) \ u) * u = L(T(x,z),x \ 1,y) * (T(x,z) \ u).
R(x,y,a(z,z,u \ z)) = R(x,y,u \ L(u,z,z)).
R(1 / x,x,a(y,y,x \ y)) = 1 / x.
R(1 / (x \ y),x \ y,a(y,y,x)) = 1 / (x \ y).
a(x \ 1,x \ 1,y) = a((x \ y) / y,(x \ y) / y,y).
a((x \ y) / y,(x \ y) / y,y) = a(x \ 1,x \ 1,y).
(x \ 1) * R(x,x,y) = a(1 / x,1 / x,(x \ 1) \ y).
a(1 / x,1 / x,(x \ 1) \ y) = (x \ 1) * R(x,x,y).
x / L(L(y,y \ 1,z),a(z,y,y \ 1) * K(y,u),T(y,u) \ x) = (x / T(y,u)) * (T(y,u) / L(y,y \ 1,z)).
a(x,a(y,z,z \ 1),u) = a(x,a(z,z,z \ y),u).
a(x,a(y,y,y \ z),u) = a(x,a(y,y,z),u).
L(x \ 1,x,y \ (x \ 1)) = 1 / L(x,x \ 1,y).
L(1 / x,x,y \ 1) = L(x \ 1,x,y \ (x \ 1)).
L(x \ 1,x,y \ (x \ 1)) = L(1 / x,x,y \ 1).
(x \ 1) * R(x,x,y) = a(1 / x,x \ 1,(x \ 1) \ y).
a(1 / x,x \ 1,(x \ 1) \ y) = (x \ 1) * R(x,x,y).
(x \ 1) * R(x,x,y) = a(x \ 1,x \ 1,(x \ 1) \ y).
a(x \ 1,x \ 1,(x \ 1) \ y) = (x \ 1) * R(x,x,y).
L(x,y,L((((z \ 1) \ u) / u) \ 1,z,z)) = L(x,y,z \ ((z \ 1) * R(z,z,u))).
((x \ 1) * R(x,x,y)) \ y = x \ ((x \ 1) \ y).
(x \ (1 / (y / (x * y)))) \ y = x \ ((x \ 1) \ y).
(x \ ((y \ 1) * (y * x))) \ x = y \ ((y \ 1) \ x).
a(x,((x / y) \ 1) \ y,z) = a(((x / y) \ 1) \ y,x,z).
a(((x / y) \ 1) \ y,x,z) = a(x,((x / y) \ 1) \ y,z).
a(x,((x / y) \ 1) \ y,z) = a(((y \ x) \ 1) \ y,x,z).
a(((x \ y) \ 1) \ x,y,z) = a(y,((y / x) \ 1) \ x,z).
a(((x \ y) \ 1) \ x,y,z) = a(y,((x \ y) \ 1) \ x,z).
(x * ((y * x) \ y)) \ (x \ 1) = (x \ 1) * a(y,x,x \ 1).
a(x \ (((x \ y) / y) \ 1),z,u) = a(a(y,x,x \ 1),z,u).
L(x,y,z \ (((z \ u) / u) \ 1)) = L(x,y,a(u,z,z \ 1)).
L(x,y,z \ ((u \ (z \ u)) \ 1)) = L(x,y,a(z,z,u)).
a(a(x,x,x \ y),z,u) = a(a(y,x,x \ 1),z,u).
a(a(x,y,y \ 1),z,u) = a(a(y,y,y \ x),z,u).
L(x,y,a(z,z,z \ u)) = L(x,y,a(u,z,z \ 1)).
L(x,y,a(z,u,u \ 1)) = L(x,y,a(u,u,u \ z)).
L(x,y,a(z,z,z \ u)) = L(x,y,a(z,z,u)).
L(x,y,a(z,z,u)) = L(x,y,a(z,z,z * u)).
L(x,y,a(z,z,z * u)) = L(x,y,a(z,z,u)).
L(x,y,a(z / u,z / u,u)) = L(x,y,a(z / u,z / u,z)).
L(x,y,a(z \ u,z \ u,z)) = L(x,y,a(z \ u,z \ u,u)).
L(x,y,a(z \ u,z \ u,u)) = L(x,y,a(z \ u,z \ u,z)).
L(x,y,a(z,z,u * (z \ w))) = L(x,y,a(z,z,u * w)).
a(x,y,z \ L(u * z,z,z)) = a(x,y,L(u,z,u * z)).
a(x,y,L(z,u,z * u)) = a(x,y,u \ L(z * u,u,u)).
a(x,y,L(z,u,z * u)) = a(x,y,u \ ((u \ 1) \ z)).
a(x,y,L(z,u,z * u)) = a(x,y,L(z,u,u)).
a(x,y,L(z,u,u * z)) = a(x,y,L(z,u,u)).
(x * ((y * x) \ y)) * ((x \ 1) \ 1) = (y * (x \ 1)) \ y.
(x * L(a(y,z,u),w,v5)) \ x = x \ (L(a(y,z,u),w,v5) \ x).
L(x,y,L((z * u) \ z,w,v5)) = L(x,y,L(z \ (u \ z),w,v5)).
a(L((x * y) \ x,z,u),w,v5) = a(L(x \ (y \ x),z,u),w,v5).
R(x,y,L((z * u) \ z,w,v5)) = R(x,y,L(z \ (u \ z),w,v5)).
a(x,y,z) / (u * a(x,y,z)) = a(x,y,z) \ (a(x,y,z) / u).
(x * (y \ (y / x))) * x = (y * (x \ 1)) \ y.
x * y != (z * (y \ 1)) \ z | x = y \ ((z * (y \ 1)) \ z).
x * (y \ (y / x)) = x \ ((y * (x \ 1)) \ y).
x \ ((y * (x \ 1)) \ y) = x * (y \ (y / x)).
R(x * (y \ (y / x)),x * (y \ (y / x)),x) = (x / ((y * (x \ 1)) \ y)) \ 1.
x / T((y * (x \ 1)) \ y,(x * (y \ (y / x))) \ 1) = ((x * (y \ (y / x))) * x) \ x.
1 / T(((x * (y \ 1)) \ x) \ y,y * (x \ (x / y))) = (((x * (y \ 1)) \ x) \ y) \ 1.
T((x * (y \ 1)) * y,y * (x \ (x / y))) = (((x * (y \ 1)) * y) \ x) \ x.
((x * (y \ 1)) \ x) * (y \ 1) = y * (x \ (x / y)).
(x \ 1) * (y \ (y / (x \ 1))) = ((y * x) \ y) * x.
x \ (x / (x * (y \ (y / x)))) = 1 / (1 / (((y * (x \ 1)) \ y) \ x)).
((x * y) \ x) * y = y \ (x \ (x / (1 / y))).
x \ (y \ (y / (1 / x))) = ((y * x) \ y) * x.
(((x * y) \ x) * y) \ (1 / y) = 1 / L(y,y \ 1,y * x).
L(1 / x,x,(x * y) \ 1) = (((y * x) \ y) * x) \ (1 / x).
(((x * y) \ x) * y) \ (1 / y) = L(1 / y,y,(y * x) \ 1).
(((x * y) \ x) * y) \ (1 / y) = L(1 / y,y,x \ (y \ 1)).
L(L(x \ 1,x,y),y,y \ 1) = T((1 / y) * (y / x),x).
T((1 / x) * (x / y),y) = L(L(y \ 1,x,x \ 1),y,x).
L(L(x \ 1,y,y \ 1),x,y) = T((1 / y) * (y / x),x).
T((1 / x) * (x / y),y) = (x * y) \ R(x,x,y \ 1).
(x * y) \ R(x,x,y \ 1) = T((1 / x) * (x / y),y).
(x * y) \ R(y,y,T(x,y) \ 1) = T((1 / y) * (y / T(x,y)),T(x,y)).
T((1 / x) * (x / T(y,x)),T(y,x)) = (y * x) \ R(x,x,T(y,x) \ 1).
a(x,x,L(y * (x \ z),u,w)) = a(x,x,L((x \ y) * z,u,w)).
a(x,x,L((x \ y) * z,u,w)) = a(x,x,L(y * (x \ z),u,w)).
L(x,x,L(a(y,z,u),w,v5)) = R(x,x,L(a(y,z,u),w,v5)).
x * L(x \ 1,x,a(y,z,u)) = a(x,x \ 1,a(y,z,u)).
K(x \ y,x) * (((x \ y) \ 1) * y) = ((y / x) * (x / y)) \ x.
R(1 / x,x,x \ L(y,z,u)) = R(1 / x,x,x \ R(y,z,u)).
R(x,(x * y) \ x,((x * y) \ x) \ 1) = R(x,x \ (y \ x),y).
L(x,y,(L(z \ 1,z,u \ 1) * z) \ 1) = L(x,y,a(z \ 1,z,u)).
L(x,y,a(z / u,z / u,u)) = L(x,y,a(z / u,u \ z,z)).
L(x,y,a(z / u,u \ z,z)) = L(x,y,a(z / u,z / u,u)).
x / (L(a(y,z,u),w,v5) * x) = x \ (L(a(y,z,u),w,v5) \ x).
x \ (L(a(x,y,z),u,w) \ x) = L(a(x,y,z),u,w) \ 1.
L(x,y,L((z * u) \ u,w,v5)) = L(x,y,L(u \ (z \ u),w,v5)).
a(L(x \ y,z,u),w,v5) = a(L(y \ ((y \ x) \ y),z,u),w,v5).
a(L(x \ ((x \ y) \ x),z,u),w,v5) = a(L(y \ x,z,u),w,v5).
a(L((x * y) \ y,z,u),w,v5) = a(L(y \ (x \ y),z,u),w,v5).
R(x,y,L((z * u) \ u,w,v5)) = R(x,y,L(u \ (z \ u),w,v5)).
((x / y) * (y / x)) \ y = ((x / y) \ 1) * x.
((R(x,y,x) / T(x * y,x)) * y) \ T(x * y,x) = ((R(x,y,x) / T(x * y,x)) \ 1) * R(x,y,x).
R(x,(x * y) \ x,((x * y) \ x) \ 1) = R(x,y,y \ 1).
R(x,y,y \ 1) = R(x,(x * y) \ x,(x \ (y \ x)) \ 1).
R(x,(x * y) \ x,(x \ (y \ x)) \ 1) = R(x,y,y \ 1).
R(x,y,y \ 1) = R(x,x \ (y \ x),(x \ (y \ x)) \ 1).
R(x,x \ (y \ x),(x \ (y \ x)) \ 1) = R(x,y,y \ 1).
R(x,y,y \ 1) = (y \ x) * ((x \ (y \ x)) \ 1).
(x \ y) * ((y \ (x \ y)) \ 1) = R(y,x,x \ 1).
K(((x \ (y \ x)) \ 1) \ 1,(x \ (y \ x)) \ 1) * R(x,y,y \ 1) = (y \ x) * (1 / (1 / ((x \ (y \ x)) \ 1))).
L(x,y,a(z \ u,z \ u,u)) = L(x,y,a(u / z,u / z,z)).
L(x,y,a(z \ (u \ z),z \ (u \ z),u \ z)) = L(x,y,a(u \ 1,u \ 1,z)).
L(x,L(y,z,z),a(z,z,y)) = a(z,z,y) * (y \ (L(y,z,z) * x)).
a(x,x,y) * (y \ (L(y,x,x) * z)) = L(z,L(y,x,x),a(x,x,y)).
(L(x,y,y) * z) * a(y,y,x) = x * L(z,a(y,y,x),L(x,y,y)).
x * L(y,a(z,z,x),L(x,z,z)) = (L(x,z,z) * y) * a(z,z,x).
a(x,x,y) \ ((y \ L(y,x,x)) \ z) = L(z,a(x,x,y),a(x,x,y)).
L(x,y,z * (u \ L(u,w,w))) = L(x,y,z * (w * ((w * u) \ u))).
L(x,y,z * (u * ((u * w) \ w))) = L(x,y,z * (w \ L(w,u,u))).
a((x \ L(x,y,y)) * z,u,w) = a((y * ((y * x) \ x)) * z,u,w).
a((x * ((x * y) \ y)) * z,u,w) = a((y \ L(y,x,x)) * z,u,w).
L(x,y,(z \ L(z,u,u)) \ w) = L(x,y,(u * ((u * z) \ z)) \ w).
L(x,y,(z * ((z * u) \ u)) \ w) = L(x,y,(u \ L(u,z,z)) \ w).
L(x,(y \ L(y,z,z)) * u,w) = L(x,(z * ((z * y) \ y)) * u,w).
L(x,(y * ((y * z) \ z)) * u,w) = L(x,(z \ L(z,y,y)) * u,w).
L(x,(y \ L(y,z,z)) \ u,w) = L(x,(z * ((z * y) \ y)) \ u,w).
L(x,(y * ((y * z) \ z)) \ u,w) = L(x,(z \ L(z,y,y)) \ u,w).
a(x,(y \ L(y,z,z)) * u,w) = a(x,(z * ((z * y) \ y)) * u,w).
a(x,(y * ((y * z) \ z)) * u,w) = a(x,(z \ L(z,y,y)) * u,w).
a(x,y,(z \ L(z,u,u)) * w) = a(x,y,(u * ((u * z) \ z)) * w).
a(x,y,(z * ((z * u) \ u)) * w) = a(x,y,(u \ L(u,z,z)) * w).
a(x,y,z * (u \ L(u,w,w))) = a(x,y,z * (w * ((w * u) \ u))).
a(x,y,z * (u * ((u * w) \ w))) = a(x,y,z * (w \ L(w,u,u))).
a(x \ 1,x,L(y,x,x \ z)) * z = (a(x,x,y) \ x) * (x \ z).
L(x,y \ (z * u),x) = L(x,y \ ((1 / z) \ u),x).
L(x,y \ ((1 / z) \ u),x) = L(x,y \ (z * u),x).
L(x,y \ (z * u),x) = L(x,y \ ((z \ 1) \ u),x).
L(x,y \ ((z \ 1) \ u),x) = L(x,y \ (z * u),x).
L(x,y \ (z * u),x) = L(x,z * (y \ u),x).
L(x,y * (z \ u),x) = L(x,z \ (u * y),x).
L(x,y \ (z * u),x) = L(x,u * (y \ z),x).
L(x,(y \ z) \ u,x) = L(x,u * (z \ y),x).
a(x,y,((1 / z) \ (u / z)) \ u) = a(x,y,z \ R(z,z,z \ u)).
(((x \ (((x \ y) / y) \ 1)) / x) * x) * (x \ y) = (1 / x) * y.
(x \ (((x \ y) / y) \ 1)) * (x \ y) = (1 / x) * y.
a(((1 / x) * y) * x,z,u) = a(L(y,x,x \ y),z,u).
a(L(x,y,y \ x),z,u) = a(((1 / y) * x) * y,z,u).
a(L(x,y,y \ x),z,u) = a(L(x,y,y \ 1),z,u).
a(L(x,y,y \ 1),z,u) = a(L(x,y,y \ x),z,u).
L(x,((1 / y) * z) * y,u) = L(x,L(z,y,y \ z),u).
L(x,L(y,z,z \ y),u) = L(x,((1 / z) * y) * z,u).
L(x,L(y,z,z \ y),u) = L(x,z * (y * (z \ 1)),u).
L(x,L(y,z,z \ y),u) = L(x,L(y,z,z \ 1),u).
L(x,L(y,z,z \ 1),u) = L(x,L(y,z,z \ y),u).
R(x,y,((1 / z) * u) * z) = R(x,y,L(u,z,z \ u)).
R(x,y,L(z,u,u \ z)) = R(x,y,((1 / u) * z) * u).
R(x,y,L(z,u,u \ z)) = R(x,y,L(z,u,u \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,L(z,u,u \ z)).
a(x,y,((1 / z) * u) * z) = a(x,y,L(u,z,z \ u)).
a(x,y,L(z,u,u \ z)) = a(x,y,((1 / u) * z) * u).
a(x,y,L(z,u,u \ z)) = a(x,y,L(z,u,u \ 1)).
a(x,y,L(z,u,u \ 1)) = a(x,y,L(z,u,u \ z)).
a(x,y,L(z \ 1,u,u \ 1)) = a(x,y,u * ((z * u) \ 1)).
a(x,y,z * a(u,u,z)) = a(x,y,L(z,u,u \ z)).
a(x,y,L(z,u,u \ z)) = a(x,y,z * a(u,u,z)).
a(R((x * y) \ y,x \ 1,y),z,u) = a(y \ ((x \ 1) * y),z,u).
a(x,x,L(y,z,u)) * (T(z,w) * u) = T(a(x,x,y) * z,w) * u.
a(x,x,L(y,x,z * x)) = a(x,x,L(y,x,z)).
a(x,x,L(y,x,z)) = a(x,x,L(y,x,x \ z)).
a(x,x,L(y,x,x \ z)) = a(x,x,L(y,x,z)).
a(x,x,L(x \ y,x,z)) = a(x,x,z \ ((x \ z) * y)).
a(x \ 1,x,L(y,x,x \ z)) = a(x,x,L(y,x,z)) \ 1.
a(x,x,L(y,x,z)) = z \ (R(x,x,y) * (x \ z)).
x \ (R(y,y,z) * (y \ x)) = a(y,y,L(z,y,x)).
x \ (R((x * y) \ x,(x * y) \ x,z) * T(x * y,y \ 1)) = a((x * y) \ x,(x * y) \ x,L(z,(x * y) \ x,x)).
a((x * y) \ x,(x * y) \ x,L(z,(x * y) \ x,x)) = x \ (R((x * y) \ x,(x * y) \ x,z) * T(x * y,y \ 1)).
x \ (R(y,y,a(z,z,u)) * (y \ x)) = a(y,y,a(z,z,L(u,y,x))).
a(x,x,L(x \ ((x \ y) \ z),x,y)) = a(x,x,y \ z).
a(x \ 1,x,L(y,x,z)) = a(x \ 1,x,L(y,x,x \ z)).
a(x \ 1,x,L(y,x,x \ z)) = a(x \ 1,x,L(y,x,z)).
a((R(x,x,x \ y) \ x) \ z,u,w) = a(a(x,x \ 1,y) \ z,u,w).
a(a(x,x \ 1,y) \ z,u,w) = a((x * (y \ (y / x))) \ z,u,w).
a((x * (y \ (y / x))) \ z,u,w) = a(a(x,x \ 1,y) \ z,u,w).
a(x,x \ 1,L(y,x,x \ z)) * z = R(x,x \ 1,y) * (x \ z).
a(x,y,a(z \ u,z \ u,u \ 1)) = a(x,y,(u / z) * (u \ z)).
L(x,y,a(z,z \ 1,u) \ 1) = L(x,y,a(u,z,z \ 1)).
L(x,y,a(z,z \ 1,u) \ 1) = L(x,y,a(z,z,u)).
L(x,y,a(z \ 1,z \ 1,u)) = L(x,y,a(z,z,u)).
x * L(x \ 1,x,a(y,y,z)) = a(a(y,y \ 1,z),x,x \ 1).
a(a(x,x \ 1,y),z,z \ 1) = z * L(z \ 1,z,a(x,x,y)).
x * L(x \ 1,x,a(y,y,z)) = a(z \ L(z,y,y),x,x \ 1).
a(x \ L(x,y,y),z,z \ 1) = z * L(z \ 1,z,a(y,y,x)).
a(a(x,x \ 1,y) \ 1,z,u) = a(a(y,x,x \ 1),z,u).
(a(x,y,z) \ 1) / (L(x,u,w) \ 1) = a(x,y,z) \ L(x,u,w).
a(x,x,y) * (L(y,x,x) * (y \ z)) = L(z,L(y,x,x),a(x,x,y)).
x * y != (L(x,z,z) * u) * a(z,z,x) | y = L(u,L(x,z,z),a(z,z,x)).
L(x,a(y,y,z),L(z,y,y)) = L(x,L(z,y,y),a(y,y,z)).
L(x,(y * ((z * y) \ z)) * u,w) = L(x,(z \ L(z,y,y)) * u,w).
L(x,(y * ((z * y) \ z)) \ u,w) = L(x,(z \ L(z,y,y)) \ u,w).
a(x,(y * ((z * y) \ z)) * u,w) = a(x,(z \ L(z,y,y)) * u,w).
a(x \ 1,x,L(y,x,z)) * z = (a(x,x,y) \ x) * (x \ z).
a(x,y,z \ R(z,z,z \ u)) = a(x,y,a(u,z,z \ 1)).
a(x,y,z \ (((z \ u) / u) \ 1)) = a(x,y,a(u,z,z \ 1)).
a(x,y,a(z,z,z \ u)) = a(x,y,a(u,z,z \ 1)).
a(x,y,a(z,u,u \ 1)) = a(x,y,a(u,u,u \ z)).
a(x,y,a(z,z,z \ u)) = a(x,y,a(z,z,u)).
a(x,y,a(z,u,u \ 1)) = a(x,y,a(u,u \ 1,z) \ 1).
a(x,y,a(z,z \ 1,u) \ 1) = a(x,y,a(u,z,z \ 1)).
a(x,y,a(z,z \ 1,u) \ 1) = a(x,y,a(z,z,u)).
a(x,y,a(z \ 1,z \ 1,u)) = a(x,y,a(z,z,u)).
a(L((x * y) \ y,x \ 1,y),z,u) = a(y \ ((x \ 1) * y),z,u).
x \ (L(y,y,a(z,z,u)) * (y \ x)) = a(y,y,a(z,z,L(u,y,x))).
a(x,y,a(z \ u,z \ u,u \ 1)) = a(x,y,(z \ u) * (u \ z)).
L(x,a(y,y,z),L(z,y,y)) = a(y,y,z) * (L(z,y,y) * (z \ x)).
a(x,x,y) * (L(y,x,x) * (y \ z)) = L(z,a(x,x,y),L(y,x,x)).
L(x,a(y \ 1,z,z \ 1) \ u,w) = L(x,(y \ L(y,z,z)) \ u,w).
a(x \ ((y \ 1) * x),z,u) = a(L(x \ (y \ x),y \ 1,x),z,u).
a(L(x \ (y \ x),y \ 1,x),z,u) = a(x \ ((y \ 1) * x),z,u).
a(x,y,(z \ x) * (x \ z)) = 1.
a(x * y,z,T(x,y) * ((x * y) \ y)) = 1.
a(x * y,z,x * ((y * x) \ y)) = 1.
1 = a(x * y,z,x * (y \ (x \ y))).
a(x * y,z,x * (y \ (x \ y))) = 1.
1 = a(x * y,z,y \ L(y,x,x)).
a(x * y,z,y \ L(y,x,x)) = 1.
a(L(x \ (y \ x),y \ 1,x),z,u) = a(T(y \ 1,x),z,u).
a(L(x \ (y \ x),y \ 1,x),z,u) = a(y \ 1,z,u).
((x \ R(x,y,z)) * (u * x)) / R(x,y,z) = L(u,x \ R(x,y,z),x).
x * (R(x,y,L(z,y,x)) \ (z * y)) = y * L(T(z,y),y,x).
x * (R(x,y,L(z,y,x)) \ (z * y)) = L(z,y,x) * y.
(L(x,y,z) * y) \ ((x * y) * z) = R(z,y,L(x,y,z)).
R(x \ R(x,R(x,y,z),u),y,z) = L(u,R(x,y,z),L(x,y,z)) \ u.
(x * (a(y,y,x) * z)) \ (L(x,y,y \ 1) * z) = a(a(y,y,x),x,z).
(x * y) / (z \ L(z,y,y)) = R(x / (z / (y * z)),z \ (y \ z),y).
R(x / (y / (z * y)),y \ (z \ y),z) = (x * z) / (y \ L(y,z,z)).
a(x,x,a((y \ x) \ 1,z,z \ 1)) = a(x,x,a(z,z,x \ y)).
a(x,x,a(y,y,x \ z)) = a(x,x,a(y,y,(z \ x) \ 1)).
a(x,x,a(y,y,(z \ x) \ 1)) = a(x,x,a(y,y,x \ z)).
x / R((x \ R(x,y,z)) \ 1,u,w) = x * R(x \ R(x,y,z),u,w).
(x * L(x \ R(x,y,z),u,w)) \ x = L(x \ R(x,y,z),u,w) \ 1.
a((x / (x * (y \ 1))) \ 1,z,u) = a(((x \ 1) * y) \ (x \ 1),z,u).
a(x * (y * (z \ (z / y))),u,w) = a(x * (y * ((y * z) \ z)),u,w).
a(x * (y * ((y * z) \ z)),u,w) = a(x * (y * (z \ (z / y))),u,w).
a((x * (y \ (y / x))) * z,u,w) = a((x * ((x * y) \ y)) * z,u,w).
a((x * ((x * y) \ y)) * z,u,w) = a((x * (y \ (y / x))) * z,u,w).
L(x,y,z * (u * (w \ (w / u)))) = L(x,y,z * (u * ((u * w) \ w))).
L(x,y,z * (u * ((u * w) \ w))) = L(x,y,z * (u * (w \ (w / u)))).
L(x,y,z \ (((u * w) \ u) \ v5)) = L(x,y,z \ ((u \ (w \ u)) \ v5)).
a(x \ R(x,x,y),z,u) = a(x \ ((y \ (y / x)) \ 1),z,u).
a(x \ R(x,x,y),z,u) = a(a(y,x,x \ 1),z,u).
a(a(x,y,y \ 1),z,u) = a(y \ R(y,y,x),z,u).
a(a(x,y,y \ 1),z,u) = a(a(y,y,x),z,u).
a(x \ (y * ((x \ y) \ 1)),z,u) = a(a(x \ y,x \ y,x),z,u).
a(a(x \ y,x \ y,x),z,u) = a(x \ (y * ((x \ y) \ 1)),z,u).
a(a(x,x,y \ 1),z,u) = a(a(x \ 1,x,y),z,u).
a(a(x \ 1,x,y),z,u) = a(a(x,x,y \ 1),z,u).
a(a(x,x,y \ 1),z,u) = a(a(x,x \ 1,y),z,u).
a(a(x,x \ 1,y),z,u) = a(a(x,x,y \ 1),z,u).
a(a(x,x,y),z,u) = a(a(x,x,x \ y),z,u).
a(a(x,x,x \ y),z,u) = a(a(x,x,y),z,u).
a(a(x,x \ 1,y) \ 1,z,u) = a(a(x,x,y),z,u).
a(a(x / y,x / y,y),z,u) = a(a(x / y,x / y,x),z,u).
a(a(x \ y,x \ y,x),z,u) = a(a(x \ y,x \ y,y),z,u).
a(a(x \ y,x \ y,y),z,u) = a(a(x \ y,x \ y,x),z,u).
a(x \ L(x,y,y),z,u) = a(a(y,y,x \ 1),z,u).
a(a(x,x,y \ 1),z,u) = a(y \ L(y,x,x),z,u).
a(a(x,x,y \ 1),z,z \ 1) = z * L(z \ 1,z,a(x,x,y)).
a(a(x \ 1,x \ 1,y),z,u) = a(a(x,x,y),z,u).
a(a(x / y,x / y,y),z,u) = a(a(x / y,y \ x,x),z,u).
a(a(x / y,y \ x,x),z,u) = a(a(x / y,x / y,y),z,u).
x * a(a(y,y,z \ 1),x,x \ 1) = L(x,x \ 1,a(y,y,z)).
a(a(x \ y,x \ y,y),z,u) = a(a(y / x,y / x,x),z,u).
L(x,x \ 1,a(y,y,z)) = L(x,x,a(y,y,z \ 1)).
L(x,x,a(y,y,z \ 1)) \ a(y,y,z) = T(a(y,y,z) * (1 / x),x).
a(a(x \ (y \ x),x \ (y \ x),y \ x),z,u) = a(a(y \ 1,y \ 1,x),z,u).
a((x \ ((y * z) \ y)) \ u,w,v5) = a((x \ (y \ (z \ y))) \ u,w,v5).
L(x,y,(z * (u \ (u / z))) \ w) = L(x,y,(z * ((z * u) \ u)) \ w).
L(x,y,(z * ((z * u) \ u)) \ w) = L(x,y,(z * (u \ (u / z))) \ w).
L(x,y,a(z \ 1,u,u \ 1) \ w) = L(x,y,(u * (z \ (z / u))) \ w).
a((x * (y \ (y / x))) \ z,u,w) = a((x * ((x * y) \ y)) \ z,u,w).
a((x * ((x * y) \ y)) \ z,u,w) = a((x * (y \ (y / x))) \ z,u,w).
a(x,y,(z * (u \ (u / z))) \ w) = a(x,y,(z * ((z * u) \ u)) \ w).
a(x,y,(z * ((z * u) \ u)) \ w) = a(x,y,(z * (u \ (u / z))) \ w).
a(x,y,z \ (u \ ((w * v5) \ w))) = a(x,y,z \ (u \ (w \ (v5 \ w)))).
a(x,y,z \ (((u * w) \ u) * v5)) = a(x,y,z \ ((u \ (w \ u)) * v5)).
a(x,y,z * (u * (w \ (w / u)))) = a(x,y,z * (u * ((u * w) \ w))).
a(x,y,z * (u * ((u * w) \ w))) = a(x,y,z * (u * (w \ (w / u)))).
a(x,y,(z * (u \ (u / z))) * w) = a(x,y,(z * ((z * u) \ u)) * w).
a(x,y,(z * ((z * u) \ u)) * w) = a(x,y,(z * (u \ (u / z))) * w).
(x * (y \ L(y,z,u))) \ x = x \ ((y \ L(y,z,u)) \ x).
x / (x * (y \ L(y,z,u))) = x \ ((y \ L(y,z,u)) \ x).
((x \ L(x,y,z)) * u) \ u = u \ ((x \ L(x,y,z)) \ u).
x / ((y \ L(y,z,u)) * x) = x \ ((y \ L(y,z,u)) \ x).
(x * (y * a(x,z,u))) \ (x * y) = (y * x) \ ((a(x,z,u) \ y) * x).
(((x / y) / x) * y) * T(x,(x / y) * (x \ y)) = (1 / y) \ (x / y).
a(a(x,y,z),a(x,y,z),u \ 1) = u \ L(u,a(x,y,z),a(x,y,z)).
((L(x,y,x) / z) \ 1) \ z = L(L(x,y,x),x \ z,x \ z).
L(L(x,y,x),x \ z,x \ z) = ((L(x,y,x) / z) \ 1) \ z.
((L(x,y,x) / z) \ 1) \ z = L(((x / z) \ 1) \ z,y,x).
L(((x / y) \ 1) \ y,z,x) = ((L(x,z,x) / y) \ 1) \ y.
a(1 / x,x,y) \ (1 / x) = 1 / ((R(x,x,y) \ x) * x).
a(x \ 1,x,y) \ (1 / x) = 1 / ((R(x,x,y) \ x) * x).
1 / ((R(x,x,y) \ x) * x) = (x \ R(x,x,y)) / x.
((x \ R(x,x,y)) / x) \ 1 = (R(x,x,y) \ x) * x.
1 / (x \ (x \ R(x,x,y))) = (R(x,x,y) \ x) * x.
((R(x,x,y) \ x) * x) \ 1 = x \ (x \ R(x,x,y)).
(((1 / x) \ y) / y) \ 1 = x \ (x \ R(x,x,y)).
(((1 / x) \ y) / y) \ 1 = x \ a(x,x,y).
(a(x,x,y) \ x) \ 1 = x \ a(x,x,y).
L(x,((y \ a(y,y,z)) \ 1) \ u,w) = L(x,(a(y,y,z) \ y) \ u,w).
a(x,y,z \ ((u \ a(u,u,w)) \ 1)) = a(x,y,z \ (a(u,u,w) \ u)).
R(1 / (1 / x),1 / x,(1 / x) \ y) = (1 / x) \ a(x \ 1,x,y).
L((x * y) \ 1,x * y,T(x,y) \ 1) = y \ R(1 / x,x,y).
x \ R(1 / y,y,x) = L((y * x) \ 1,y * x,y \ 1).
L((x * y) \ 1,x * y,x \ 1) = y \ R(1 / x,x,y).
x \ R(1 / y,y,x) = L(x,y,y \ 1) \ (1 / y).
L(x,y,y \ 1) \ (1 / y) = x \ R(1 / y,y,x).
a(((x \ 1) \ (y \ (x \ 1))) \ 1,z,u) = a(x \ ((y \ 1) \ x),z,u).
a(x,((y \ 1) \ (z \ (y \ 1))) \ 1,u) = a(x,y \ ((z \ 1) \ y),u).
a(x,y,((z \ 1) \ (u \ (z \ 1))) \ 1) = a(x,y,z \ ((u \ 1) \ z)).
((x \ y) * (y \ x)) * x = y / (1 / (y \ x)).
(x / (x \ y)) / (1 / (x \ y)) = y / (1 / (y \ x)).
x \ ((x * (y \ (y / x))) \ x) = 1 / (1 / (((y * (x \ 1)) \ y) \ x)).
L(x,y,a(z \ u,z,z \ 1) \ 1) = L(x,y,a(z \ 1,z,u)).
L(x,y,a((z \ u) \ 1,z,z \ 1)) = L(x,y,a(z \ 1,z,u)).
L(x,y,a(z \ (u * 1),u,u \ 1)) = L(x,y,a(u \ 1,u,z)).
L(x,y,a(z \ u,u,u \ 1)) = L(x,y,a(u \ 1,u,z)).
L(x,y,a(z \ u,u,u \ 1)) = L(x,y,a(u,u \ 1,z)).
L(x,y,a(z,z \ 1,u)) = L(x,y,a(z,z,u \ z)).
L(x,y \ R(y,z,u),y) = R(x,y,y \ R(y,z,u)).
L(x,y,y \ R(y,z,u)) = L(x,y \ R(y,z,u),y).
L(x,y \ R(y,z,u),y) = L(x,y,y \ R(y,z,u)).
L((x \ R(x,y,z)) \ u,x,x \ R(x,y,z)) = R(x,y,z) \ (x * u).
R(x \ R(x,R(x,y,z),u),y,z) = L(u,L(x,y,z),L(x,y,z)) \ u.
a(a(x,x,y),y,z) = a(y,a(x,x,y),z).
R(x / (y / (z * y)),y \ (z \ y),z) = (y \ L(y,z,z)) \ (x * z).
x / R(R(x,y,z) \ x,u,w) = x * R(x \ R(x,y,z),u,w).
x * R(x \ R(x,y,z),u,w) = R(R(x,y,z) \ x,u,w) \ x.
R(R(x,y,z) \ x,u,w) \ x = x * R(x \ R(x,y,z),u,w).
R(R(x,y,z) \ x,u,w) \ x != x * v5 | R(x \ R(x,y,z),u,w) = v5.
(L(x \ R(x,y,z),u,w) \ 1) \ x = x * L(x \ R(x,y,z),u,w).
a((x / (x * (y \ 1))) \ 1,z,u) = a((x \ 1) \ (y \ (x \ 1)),z,u).
a(x * (y * (z \ (z / y))),u,w) = a(x * (z \ L(z,y,y)),u,w).
a(x * ((y \ (z \ y)) * z),u,w) = a(x * (y \ L(y,z,z)),u,w).
a((x * (y \ (y / x))) * z,u,w) = a((y \ L(y,x,x)) * z,u,w).
a((x \ L(x,y,y)) * z,u,w) = a(a(y,y \ 1,x) * z,u,w).
a(a(x,x \ 1,y) * z,u,w) = a((y \ L(y,x,x)) * z,u,w).
L(x,y,z * (u * (w \ (w / u)))) = L(x,y,z * (w \ L(w,u,u))).
L(x,y,(z * (u \ (u / z))) \ w) = L(x,y,(u \ L(u,z,z)) \ w).
L(x,y,(z \ L(z,u,u)) \ w) = L(x,y,(u * (z \ (u \ z))) \ w).
L(x,y,(z * (u \ (z \ u))) \ w) = L(x,y,(u \ L(u,z,z)) \ w).
a((x * (y \ (y / x))) \ z,u,w) = a((y \ L(y,x,x)) \ z,u,w).
a((x \ L(x,y,y)) \ z,u,w) = a((y * (x \ (y \ x))) \ z,u,w).
a((x * (y \ (x \ y))) \ z,u,w) = a((y \ L(y,x,x)) \ z,u,w).
a(a(x \ y,y,y \ 1) \ z,u,w) = a((x \ L(x,y,y)) \ z,u,w).
a((x \ L(x,y,y)) \ z,u,w) = a(a(y,y \ 1,x) \ z,u,w).
a(a(x,x \ 1,y) \ z,u,w) = a((y \ L(y,x,x)) \ z,u,w).
a(x,y,(z * (u \ (u / z))) \ w) = a(x,y,(u \ L(u,z,z)) \ w).
a(x,y,(z \ L(z,u,u)) \ w) = a(x,y,(u * (z \ (u \ z))) \ w).
a(x,y,(z * (u \ (z \ u))) \ w) = a(x,y,(u \ L(u,z,z)) \ w).
a(x,y,a(z \ u,u,u \ 1) \ w) = a(x,y,(z \ L(z,u,u)) \ w).
a(x,y,z * (u * (w \ (w / u)))) = a(x,y,z * (w \ L(w,u,u))).
a(x,y,((z \ (u \ z)) * u) * w) = a(x,y,w * (z \ L(z,u,u))).
a(x,y,(z * (u \ (u / z))) * w) = a(x,y,(u \ L(u,z,z)) * w).
a(x,y,(z \ L(z,u,u)) * w) = a(x,y,a(u,u \ 1,z) * w).
a(x,y,a(z,z \ 1,u) * w) = a(x,y,(u \ L(u,z,z)) * w).
(((x / y) / x) * y) * T(x,x * (y \ (x \ y))) = (1 / y) \ (x / y).
(1 / x) \ a(x \ 1,x,y) = R(1 / (1 / x),1 / x,x * y).
R(1 / (1 / x),1 / x,x * y) = (1 / x) \ a(x \ 1,x,y).
R(1 / (1 / x),1 / x,x * y) = a(x \ 1,x,y) * x.
a(x \ 1,x,y) * x = R(1 / (1 / x),x \ 1,x * y).
R(1 / (1 / x),x \ 1,x * y) = a(x \ 1,x,y) * x.
R(1 / (1 / x),x \ 1,(x \ 1) \ y) = a(x \ 1,x,y) * x.
(a(x \ 1,x,y) * x) \ 1 = 1 / R(x,x \ 1,(x \ 1) \ y).
1 / R(x,x \ 1,(x \ 1) \ y) = (a(x \ 1,x,y) * x) \ 1.
1 / R(x,x \ 1,y * x) = (a(x \ 1,x,y) * x) \ 1.
R(1 / x,x \ 1,y * x) = (a(x \ 1,x,y) * x) \ 1.
R(1 / x,x \ 1,y * x) = ((R(x,x,y) \ x) * x) \ 1.
R(1 / x,x \ 1,y * x) = x \ (x \ R(x,x,y)).
(x \ (x \ R(x,x,y))) \ 1 = R(x,x \ 1,y * x).
(x \ a(x,x,y)) \ 1 = R(x,x \ 1,y * x).
R(x,x \ 1,y * x) = (x \ a(x,x,y)) \ 1.
L(x,R(y,y \ 1,z * y) \ u,w) = L(x,(a(y,y,z) \ y) \ u,w).
a(x,y,z \ R(u,u \ 1,w * u)) = a(x,y,z \ (a(u,u,w) \ u)).
a(L(x,x,y \ 1),z,u) = a(y \ ((x \ 1) \ y),z,u).
a(x,L(y,y,z \ 1),u) = a(x,z \ ((y \ 1) \ z),u).
x \ (1 / (y \ (y / x))) = 1 / (1 / (((y * (x \ 1)) \ y) \ x)).
1 / (1 / (((x * (y \ 1)) \ x) \ y)) = y \ (1 / (x \ (x / y))).
L((x \ R(x,y,z)) \ u,x,x \ R(x,y,z)) = x * (R(x,y,z) \ u).
R(x \ R(x,R(x,y,z),u),y,z) = a(L(x,y,z),L(x,y,z),u).
R(x \ R(x,L(x,y,z),u),y,z) = a(L(x,y,z),L(x,y,z),u).
a((x \ 1) \ (y \ (x \ 1)),z,u) = a(((x * (y \ 1)) \ x) \ 1,z,u).
a(((x * (y \ 1)) \ x) \ 1,z,u) = a((x \ 1) \ (y \ (x \ 1)),z,u).
(((x / y) / x) * y) * x = (1 / y) \ (x / y).
a(x,y,z \ R(u,u \ 1,u * w)) = a(x,y,z \ (a(u,u,w) \ u)).
(x \ R(x,y,z)) * (x * (R(x,y,z) \ u)) = L(u,x,x \ R(x,y,z)).
a((x \ 1) \ (y \ (x \ 1)),z,u) = a((x \ ((y \ 1) \ x)) \ 1,z,u).
a((x \ ((y \ 1) \ x)) \ 1,z,u) = a((x \ 1) \ (y \ (x \ 1)),z,u).
L(x,y,y \ R(y,z,u)) = y * ((y \ R(y,z,u)) * (R(y,z,u) \ x)).
x * ((x \ R(x,y,z)) * (R(x,y,z) \ u)) = L(u,x,x \ R(x,y,z)).
L(x,y,y \ R(y,z,u)) \ x = a(y,y \ R(y,z,u),R(y,z,u) \ x).
a(x,x \ R(x,y,z),R(x,y,z) \ u) = L(u,x,x \ R(x,y,z)) \ u.
x * (R(x,x,y) \ R(y,x,y)) = (x * x) \ (x * T(y * x,y)).
(x * x) \ (x * T(y * x,y)) = x * (R(x,x,y) \ R(y,x,y)).
(x * x) \ (x * T(y * x,y)) = x * R(x \ y,x,y).
x * R(x \ y,x,y) = L(R(y,x,y),x,x).
(x * y) \ (a(z,z,y) * (x * L(y,z,z))) = a(x,a(z,z,y),L(y,z,z)).
x \ R(a(x,x \ 1,y),z,u) = R(a(x \ 1,x,x \ y),z,u) / x.
R(a(x \ 1,x,x \ y),z,u) / x = x \ R(a(x,x \ 1,y),z,u).
R(a(x \ 1,x,x \ y),z,u) / x = x \ a(x,x \ 1,R(y,z,u)).
R(1 / x,x,x \ R(y,z,u)) = R(a(x \ 1,x,x \ y),z,u) / x.
R(a(x \ 1,x,x \ y),z,u) / x = R(1 / x,x,x \ R(y,z,u)).
R(1 / x,x,x \ L(y,z,u)) = R(a(x \ 1,x,x \ y),z,u) / x.
R(a(x \ 1,x,x \ y),z,u) / x = R(1 / x,x,x \ L(y,z,u)).
a(x \ 1,x,L(x \ y,z,u)) / x = R(1 / x,x,x \ L(y,z,u)).
R(1 / x,x,x \ L(y,z,u)) = R(1 / x,x,L(x \ y,z,u)).
R(1 / x,x,L(x \ y,z,u)) = R(1 / x,x,x \ L(y,z,u)).
R(1 / x,x,L(x \ y,z,u)) = R(1 / x,x,x \ R(y,z,u)).
R(1 / x,x,L(x \ y,z,u)) = (x \ R(y,z,u)) / R(y,z,u).
a(x,y,z \ a(u \ 1,u,u \ w)) = a(x,y,z \ a(u,u \ 1,w)).
K(x \ 1,y * x) * (x * (R(x,x,y) \ x)) = (y / (1 / x)) / y.
(x / (1 / y)) / x = y * (K(y \ 1,y * x) * (R(y,y,x) \ y)).
x * (K(x \ 1,x * y) * (R(x,x,y) \ x)) = (y / (1 / x)) / y.
x * (x * R(T(x \ 1,x * y),x,y)) = (y / (1 / x)) / y.
x * (x * T((x * y) \ y,x)) = (y / (1 / x)) / y.
x * (((x * y) \ y) * x) = (y / (1 / x)) / y.
((x / (1 / y)) / x) / (1 / (1 / y)) = y * ((y * x) \ x).
x * ((x * y) \ y) = ((y / (1 / x)) / y) * (1 / x).
((x / (1 / y)) / x) * (1 / y) = y * ((y * x) \ x).
(x * ((x * y) \ y)) * y = (1 / (1 / x)) \ (y / (1 / x)).
(1 / (1 / x)) \ (y / (1 / x)) = (x * ((x * y) \ y)) * y.
(x * ((x * y) \ y)) * y = K(x,x \ 1) * (x \ (y / (1 / x))).
K(x,x \ 1) * (x \ (y / (1 / x))) = (x * ((x * y) \ y)) * y.
K(x,y \ (x \ y)) * (x \ (z / (1 / x))) = (x * ((x * z) \ z)) * z.
K(x,(x * y) \ y) * (x \ (z / (1 / x))) = (x * ((x * z) \ z)) * z.
(((x * y) \ y) * x) * y = x \ (y / (1 / x)).
((x \ (y \ x)) * y) * (x / y) = y \ ((x / y) / (1 / y)).
L(R(x,y,x),y,y) \ ((y * (y \ x)) * x) = L(x,y,L(y \ x,y,y)).
L(R(x,y,x),y,y) \ (x * x) = L(x,y,L(y \ x,y,y)).
L(x,y,L(y \ x,y,y)) = L(R(x,y,x),y,y) \ (x * x).
R(x,y,L(L(z \ 1,z,u),u,u)) = R(x,y,L(u \ (z \ u),u,u * z)).
R(x,y,L(z \ (u \ z),z,z * u)) = R(x,y,L(L(u \ 1,u,z),z,z)).
x \ (R(a(y,z,u),x,x) \ x) = 1 / (1 / ((a(y,z,u) / (x \ 1)) \ x)).
L(x,L(T(y,z),y \ 1,u) \ w,v5) = L(x,R(y,y \ 1,u) \ w,v5).
L(x,L(y,y \ 1,z) \ u,w) = L(x,R(y,y \ 1,z) \ u,w).
L(x,L(y,y \ 1,z * y) \ u,w) = L(x,(a(y,y,z) \ y) \ u,w).
L(x,L(y,y \ 1,y * z) \ u,w) = L(x,(a(y,y,z) \ y) \ u,w).
(R(x,y,z) \ x) * (x / R(x,y,z)) = x * (x * R(x \ (x \ 1),y,z)).
L(x,y,z \ (u * u)) = L(x,y,(z / u) \ L(T(u,w),z / u,z / u)).
L(x,y,(z / u) \ L(T(u,w),z / u,z / u)) = L(x,y,z \ (u * u)).
a(x,y,z \ a(u,u \ 1,w)) = a(x,y,z \ (u * (T(w,v5) \ (u \ w)))).
a(x,y,z \ (u * (T(w,v5) \ (u \ w)))) = a(x,y,z \ a(u,u \ 1,w)).
T((1 / x) * (x / T(y,x)),T(y,x)) = (y * x) \ R(x,x,y \ 1).
(x * y) \ R(y,y,x \ 1) = T((1 / y) * (y / T(x,y)),x).
T((1 / x) * (x / T(y,x)),y) = (y * x) \ R(x,x,y \ 1).
L(x,y,a(z \ 1,u,u \ 1) \ w) = L(x,y,(z \ L(z,u,u)) \ w).
a(x,x \ R(x,y,z),R(x,y,z) \ u) = L(u,x,x \ L(x,y,z)) \ u.
a(x,a(y,y,z),L(z,y,y)) = a(x,L(z,y,y),a(y,y,z)).
R(x \ (a(y,z,u) \ x),x,x) = 1 / (1 / ((a(y,z,u) / (x \ 1)) \ x)).
(R(x,y,z) \ x) * (R(x,y,z) \ x) = x * (x * R(x \ (x \ 1),y,z)).
a(x,y,z \ a(u,u \ 1,w)) = a(x,y,z \ ((w \ (u \ w)) * u)).
a(x,y,z \ ((u \ (w \ u)) * w)) = a(x,y,z \ a(w,w \ 1,u)).
1 / (1 / ((a(x,y,z) / (u \ 1)) \ u)) = u / (a(x,y,z) / (u \ 1)).
1 / (((a(x,y,z) / (u \ 1)) \ u) \ 1) = u / (a(x,y,z) / (u \ 1)).
x / (a(y,z,u) / (x \ 1)) = (a(y,z,u) / (x \ 1)) \ x.
R(x \ (a(y,z,u) \ x),x,x) = (a(y,z,u) / (x \ 1)) \ x.
R(x \ (a(y,z,u) \ x),x,x) = ((1 / x) \ a(y,z,u)) \ x.
L(x \ (a(y,z,u) \ x),x,x) = ((1 / x) \ a(y,z,u)) \ x.
(R(x,y,z) \ x) * (R(x,y,z) \ x) = R(x * x,y,z) \ (x * x).
R(x * x,x,y) \ (x * x) = a(x,x,y) \ (a(x,x,y) \ 1).
R(x * x,x,y) \ (x * x) = a(x,x,y) \ a(x \ 1,x,y).
(x \ L(x,y,y)) * (((x \ L(x,y,y)) \ z) / a(y,y,x)) = a(y,y,x) \ z.
(x * L(y \ R(y,z,u),w,v5)) \ x = x \ (L(y \ R(y,z,u),w,v5) \ x).
L(L(x,x \ 1,y) \ 1,(y * (x \ 1)) \ y,y) = y \ (y * (x \ 1)).
(a(x,x,y) / z) \ a(x,x,L(y,z,z)) = L(z,z \ 1,a(x,x,y)).
(a(x,x,y) / z) \ a(x,x,L(y,z,z)) = L(z,z,a(x,x,y \ 1)).
a(x,x,y * ((L(x,z,u) \ x) * K(w,v5))) = a(x,x,x * (L(x,z,u) \ y)).
a(a(x \ y,y,y \ 1) \ z,u,w) = a((y * L(y \ 1,y,x)) \ z,u,w).
a(x,y,a(z \ u,u,u \ 1) \ w) = a(x,y,(u * L(u \ 1,u,z)) \ w).
(((x * (y \ 1)) * y) \ x) \ x = (x * (y \ 1)) * y.
(x \ L(x,y,y)) * (a(y,y,x) \ ((x \ L(x,y,y)) \ z)) = a(y,y,x) \ z.
a(x,x,y * (L(x,z,u) \ x)) = a(x,x,x * (L(x,z,u) \ y)).
(x \ L(x,y,y)) * L(z,a(y,y,x),a(y,y,x)) = a(y,y,x) \ z.
a(x,x,y) \ z = L(z,a(x,x,y),a(x,x,y)) * (y \ L(y,x,x)).
L(x,a(y,y,z),a(y,y,z)) * (z \ L(z,y,y)) = a(y,y,z) \ x.
(x \ L(x,y,y)) * a(y,z,u) = a(y,y,x) \ a(y,z,u).
a(x,a(y,y,z),L(z,y,y)) * (x * z) = (x * L(z,y,y)) * (L(z,y,y) \ z).
a(R(x,x,y),R(x,x,y),z) = a(((y / (x * y)) \ 1) \ 1,L(x,x,y),z) \ 1.
L(x,a(y \ 1,y,z),a(y \ 1,y,z)) = (R(y,y,z) \ y) \ (a(y,y,z) \ x).
L(x,R(y,y,z),R(y,y,z)) = x * a(z / (y * z),R(y,y,z),x).
L(x,R(y,y,z),R(y,y,z)) = x * a((y * z) \ z,R(y,y,z),x).
L(x,R(y,y,z),R(y,y,z)) = x * a(z \ (y \ z),R(y,y,z),x).
R(R(x,x,y),R(x,x,y),z) \ R(x,x,y) = a(y \ (x \ y),R(x,x,y),z).
L(x,R(y,y,z),L(y,y,z)) = x * a(z \ (y \ z),R(y,y,z),x).
L(x,L(y,y,z),L(y,y,z)) = x * a(z \ (y \ z),R(y,y,z),x).
L(x,L(y,y,z),L(y,y,z)) = x * a(z \ (y \ z),L(y,y,z),x).
a(x \ (y \ x),R(y,y,x),z) = R(R(y,R(y,y,x),z) \ y,y,x).
R(R(x,R(x,x,y),z) \ x,x,y) = a(y \ (x \ y),R(x,x,y),z).
a(x \ (y \ x),L(y,y,x),z) = R(R(y,R(y,y,x),z) \ y,y,x).
R(R(x,R(x,x,y),z) \ x,x,y) = a(y \ (x \ y),L(x,x,y),z).
R(R(x,L(x,x,y),z) \ x,x,y) = a(y \ (x \ y),L(x,x,y),z).
(T((x / y) \ 1,x) \ (x \ y)) * K(x \ y,x) = ((1 / (x \ y)) \ x) / y.
((x / y) * (y / x)) * K(x \ y,x) = ((1 / (x \ y)) \ x) / y.
((1 / (x \ y)) \ x) / y = (x / y) * (x \ y).
R(x / (x / y),y \ x,x \ y) \ y = ((1 / (x \ y)) \ x) / y.
a(x,L(y,z,z),a(z,z,y)) * (x * y) = (x * R(y,z,z)) * (R(y,z,z) \ y).
a(x,x,L(y,y,z)) = z * L(z \ a(x,x,y),y,a(x,x,y)).
x * L(x \ a(y,y,z),z,a(y,y,z)) = a(y,y,L(z,z,x)).
(x / y) \ L(T(y,y \ x),z / y,z / y) = (y \ x) \ L(y,y \ z,y \ z).
L(x,y,(z \ u) \ (((z / u) \ 1) \ u)) = L(x,y,u \ (z * z)).
L(x,y,z \ (u * u)) = L(x,y,(u \ z) \ (((z \ u) \ 1) \ z)).
L(x,y,(z \ u) \ (((u \ z) \ 1) \ u)) = L(x,y,u \ (z * z)).
K(x,y) * a(1 / z,z,u) = (K(x,y) / z) * (((1 / z) \ u) / u).
(K(x,y) / z) * (((1 / z) \ u) / u) = K(x,y) * a(1 / z,z,u).
(K(x,y) / z) * (((1 / z) \ u) / u) = K(x,y) * a(z \ 1,z,u).
K(x,y) * a(x \ 1,x,y) = x \ (y \ ((1 / x) \ y)).
x \ (y \ ((1 / x) \ y)) = R(x,x,y) \ T(x,y).
R(x,x,y) \ T(x,y) = x \ (y \ ((1 / x) \ y)).
x \ (y \ ((1 / x) \ y)) = (y / (y * x)) * x.
(x \ ((1 / y) \ x)) * (y \ 1) = (x / (x * y)) * y.
(x * (y / (x * y))) / (x \ ((x \ 1) \ y)) = R(1 / y,y,y \ L(y,x,x)).
R(1 / x,x,x \ L(x,y,y)) = (y * (x / (y * x))) / (y \ ((y \ 1) \ x)).
(x * (y / (x * y))) / (x \ ((x \ 1) \ y)) = 1 / y.
(x / ((y * (x \ 1)) \ y)) \ 1 = x * (y \ (y / x)).
1 / (x * (y \ (y / x))) = x / ((y * (x \ 1)) \ y).
x / ((y * (x \ 1)) \ y) = (x * (y \ (y / x))) \ 1.
x / ((y * (x \ 1)) \ y) = (y / x) \ (y * (x \ 1)).
a(x,a(y,y,z),L(z,y,y)) * (x * z) = (x * L(z,y,y)) * a(y,y,z).
a(x,x,y) * (z * L(y,x,x)) = a(z,a(x,x,y),L(y,x,x)) * (z * y).
a(x,a(y,y,z),L(z,y,y)) * (x * z) = a(y,y,z) * (x * L(z,y,y)).
a(R(x,x,y),R(x,x,y),z) = a(y / (x * y),L(x,x,y),z) \ 1.
a(R(x,x,y),R(x,x,y),z) = a((x * y) \ y,L(x,x,y),z) \ 1.
a(R(x,x,y),R(x,x,y),z) = a(y \ (x \ y),L(x,x,y),z) \ 1.
a(R(x,x,y),L(x,x,y),z) = a(y \ (x \ y),L(x,x,y),z) \ 1.
a(L(x,x,y),L(x,x,y),z) = a(y \ (x \ y),L(x,x,y),z) \ 1.
(R(x,x,y) \ x) \ (a(x,x,y) \ z) = L(z,a(x \ 1,x,y),a(x,x,y \ 1)).
L(x,a(y \ 1,y,z),a(y,y,z \ 1)) = (R(y,y,z) \ y) \ (a(y,y,z) \ x).
a(x,a(y,y,z),L(z,y,y)) * (x * z) = (x * R(z,y,y)) * (R(z,y,y) \ z).
(R(x,x,y) \ x) \ (a(x,x,y) \ z) = L(z,a(x,x,y \ 1),a(x,x,y \ 1)).
L(x,a(y,y,z \ 1),a(y,y,z \ 1)) = (R(y,y,z) \ y) \ (a(y,y,z) \ x).
(x * R(y,z,z)) * (R(y,z,z) \ y) = a(z,z,y) * (x * L(y,z,z)).
L(x,a(y,y,z \ 1),a(y,y,z \ 1)) = L(x,a(y,y,z),a(y,y,z)).
L(R(x,y,z),u,w) \ (L(x,u,w) * v5) = L(x,u,w) * (L(R(x,y,z),u,w) \ v5).
x * ((a(y,y,x) * x) \ z) = (z * x) / (a(y,y,x) * x).
(x * y) / (a(z,z,y) * y) = y * ((a(z,z,y) * y) \ x).
(x * y) / T(x * a(z,z,x),y) = x * ((a(z,z,x) * x) \ y).
T(x * ((a(y,y,x) * x) \ z),T(x,z)) = (x * a(y,y,T(x,u))) \ (z * x).
T(x * ((a(y,y,x) * x) \ z),T(x,z)) = (x * a(y,y,x)) \ (z * x).
a(R(x,y,z) \ 1,R(x,y,z) \ 1,u) = a(R(x,y,z),L(x \ 1,y,z),u) \ 1.
T((x * y) \ (x * (y / z)),z) = (L(L(1 / z,z,y),y,x) \ 1) \ 1.
L((L(1 / x,x,y) \ 1) \ 1,y,z) = T((z * y) \ (z * (y / x)),x).
T((x * y) \ (x * (y / z)),z) = L((L(1 / z,z,y) \ 1) \ 1,y,x).
T((x * y) \ (x * (y / z)),z) = L(L(z,z \ 1,y \ 1) \ 1,y,x).
T((x * y) \ (x * (y / z)),z) = L(L(z \ 1,z,(y \ 1) \ 1),y,x).
T((x * y) \ (x * (y / z)),z) = L(L(z \ 1,z,y),y,x).
L(1 / L(x,y,y),L(x,y,y),(y \ 1) \ x) = ((1 / y) \ x) \ (y * 1).
L(1 / L(x,y,y),L(x,y,y),(y \ 1) \ x) = ((1 / y) \ x) \ y.
T(T((x / y) / x,y),((x * y) \ x) * x) = L((x * y) \ x,x,(x * y) \ x).
L((x * y) \ x,x,(x * y) \ x) = T(T((x / y) / x,y),y \ x).
T(T((x / y) / x,y),y \ x) = L((x * y) \ x,x,(x * y) \ x).
T(T((x / y) / x,y),y \ x) = L((x * y) \ x,x,y \ 1).
L((x * y) \ x,x,y \ 1) = T(x,y) \ (y \ x).
L(L(x \ 1,x,y),y,(y * x) \ y) = T(y,x) \ (x \ y).
a(x,y,z * ((T(u,w) \ (w \ u)) * v5)) = a(x,y,(((u * w) \ u) * v5) * z).
a(x,y,(((z * u) \ z) * w) * v5) = a(x,y,((z \ (u \ z)) * w) * v5).
a(x,x,L(y,x,x \ (R(x,x,y) \ z))) \ (z / x) = x * (x \ (z / R(x,x,y))).
x * a(y \ ((z / (y * z)) \ 1),x,x \ 1) = L(x,x \ 1,y * (z / (y * z))).
a(((x \ 1) / (1 / y)) \ z,u,w) = a((((x \ (x / y)) \ 1) * (x \ 1)) \ z,u,w).
a((((x \ (x / y)) \ 1) * (x \ 1)) \ z,u,w) = a(((x \ 1) / (1 / y)) \ z,u,w).
L(x,y,L((((z \ 1) \ u) / u) \ 1,z,z)) = L(x,y,T(z \ a(z,z,u),z)).
L(x,y,T(z \ a(z,z,u),z)) = L(x,y,L((((z \ 1) \ u) / u) \ 1,z,z)).
L(x,y,L((((z \ 1) \ u) / u) \ 1,z,z)) = L(x,y,z \ a(z,z,u)).
L(x,y,z \ a(z,z,u)) = L(x,y,L((u \ ((z \ 1) \ u)) \ 1,z,z)).
L(x,y,L((z \ ((u \ 1) \ z)) \ 1,u,u)) = L(x,y,u \ a(u,u,z)).
L(x,y,a(z \ (u \ z),z \ (u \ z),u \ z)) = L(x,y,a(u,u,z)).
a(a(x \ (y \ x),x \ (y \ x),y \ x),z,u) = a(a(y,y,x),z,u).
a(L((x \ y) \ x,x \ y,x),z,u) = a((y / x) \ L(T(x,x \ y),y / x,y / x),z,u).
a((x / y) \ L(T(y,y \ x),x / y,x / y),z,u) = a(L((y \ x) \ y,y \ x,y),z,u).
a(R(x,y,z) \ 1,R(x,y,z) \ 1,u) = a(L(x,y,z),L(x \ 1,y,z),u) \ 1.
a(x,x,L(y,x,R(x,x,y) \ z)) \ (z / x) = x * (x \ (z / R(x,x,y))).
a(x,x,L(y,x,R(x,x,y) \ z)) \ (z / x) = z / R(x,x,y).
x * a(a(y,y,z),x,x \ 1) = L(x,x \ 1,y * (z / (y * z))).
L(x,x \ 1,y * (z / (y * z))) = x * a(a(y,y,z),x,x \ 1).
x * a(a(y,y,z),x,x \ 1) = L(x,x \ 1,z \ L(z,y,y)).
L(x,x \ 1,y \ L(y,z,z)) = x * a(a(z,z,y),x,x \ 1).
L(x,x \ 1,y \ L(y,z,z)) = L(x,x,a(z,z,y)).
(x \ L(x,y,y)) * L(z,z,a(y,y,x)) = (x \ L(x,y,y)) / (z \ 1).
a((((x \ (x / y)) \ 1) * (x \ 1)) \ z,u,w) = a(((1 / y) \ (x \ 1)) \ z,u,w).
a((((x \ (x / y)) \ 1) * (x \ 1)) \ z,u,w) = a(((y \ 1) \ (x \ 1)) \ z,u,w).
L(x * a(y,y,x),y,y \ 1) / a(y,y,x) = T(a(y,y,x),a(y,y,x) * x) * x.
a(x,y,y \ 1) * (y * z) = y * (a(x,y,y \ 1) * z).
(x / y) \ L(1 / y,y,x) = L(1 / y,y,x) / T(x / y,x \ 1).
L(1 / x,x,y) / T(y / x,y \ 1) = (y / x) \ L(1 / x,x,y).
L(R(a(x,y,z),u,w) \ 1,R(a(x,y,z),u,w),v5) = v5 \ (R(a(x,y,z),u,w) \ v5).
((x / y) / z) \ x = ((y \ x) / z) \ ((y \ x) * y).
((x \ y) / z) \ ((x \ y) * x) = ((y / x) / z) \ y.
((x / y) / z) \ x = (z * y) * a(z \ (y \ x),z,y).
T(((x * y) \ x) * a(x \ 1,y,y \ 1),y) = ((x * y) \ x) * (((x * y) \ x) * y).
a(x,a(y,z,u),a(y,z,u) \ 1) = a(a(y,z,u),a(y,z,u),a(y,z,u) \ x).
a(a(x,y,z),a(x,y,z),a(x,y,z) \ u) = a(u,a(x,y,z),a(x,y,z) \ 1).
a(a(x,y,z),a(x,y,z),a(x,y,z) \ u) = a(a(x,y,z),a(x,y,z),u).
x * a(a(y,z,u),a(y,z,u),x) = a(y,z,u) * ((1 / a(y,z,u)) * x).
a(x,y,z) * ((1 / a(x,y,z)) * u) = u * a(a(x,y,z),a(x,y,z),u).
T(a(x,x,y),a(x,x,y) * y) * y = a(x,x,y) \ L(y * a(x,x,y),x,x \ 1).
a(x,x,y) \ L(y * a(x,x,y),x,x \ 1) = T(a(x,x,y),a(x,x,y) * y) * y.
L(R(a(x,y,z) \ 1,u,w),R(a(x,y,z),u,w),v5) = v5 \ (R(a(x,y,z),u,w) \ v5).
a(x,x,y) \ L(y * a(x,x,y),x,x \ 1) = a(x,x,y) * y.
a(x,x,y) \ ((1 / x) * (R(x,x,y) * y)) = a(x,x,y) * y.
a(x,x,y) * y = L(y,L(x,x,y),x \ 1).
L(x,L(y,y,x),y \ 1) = a(y,y,x) * x.
(a(x,x,y) * y) * (y \ ((1 / x) * R(x,x,y))) = L(y,x,x \ (x \ 1)) / y.
(a(x,x,y) * y) * (y \ (x \ R(x,x,y))) = L(y,x,x \ (x \ 1)) / y.
(a(x,x,y) * y) * (y \ a(x,x,y)) = L(y,x,x \ (x \ 1)) / y.
x \ ((y * (x / (y * x))) \ x) = ((y \ 1) * (y * x)) / T(x,(y \ 1) * T(y,x)).
x \ ((y * (x / (y * x))) \ x) = ((y \ 1) * (y * x)) / T(x,(y \ 1) * y).
x \ ((y * (x / (y * x))) \ x) = ((y \ 1) * (y * x)) / T(x,K(y \ 1,y)).
x \ ((y * (x / (y * x))) \ x) = ((y \ 1) * (y * x)) / x.
x \ ((y \ 1) * (y * x)) = ((y \ 1) * (y * x)) / x.
((x \ 1) * (x * y)) / y = y \ ((x \ 1) * (x * y)).
R((x * y) \ x,z,u) \ ((x * y) \ x) = R(x \ (x / y),z,u) \ (x \ (x / y)).
R(x \ (x / y),z,u) \ (x \ (x / y)) = (x * y) \ (x * R(x \ (x * y),z,u)).
R(x \ (x / y),z,u) \ (x \ (x / y)) = (x * y) \ (x * R(y,z,u)).
(x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R((x / y) \ x,z,u)).
x \ ((x / y) * R((x / y) \ x,z,u)) = (x * y) \ (x * R(y,z,u)).
x \ ((x / y) * R(y,z,u)) = (x * y) \ (x * R(y,z,u)).
(x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)).
L(x \ R(x,y,z),x,u) = u \ ((u / x) * R(x,y,z)).
(x * y) \ (R(x,z,u) * y) = y \ ((y / x) * R(x,z,u)).
a(x,y,z) = (z * y) \ (((z * y) / x) * R(x,y,z)).
L(x \ ((x / y) * R(y,z,u)),y,z * u) = L(a(y,z,u),y,x).
(a(x,y,z) * u) \ R(a(x,y,z) * u,x,x) = a(x,y,z) \ ((a(x,y,z) / u) * R(u,x,x)).
a(x,y,z) = (z * y) \ (x \ ((x * y) * T(z,y))).
a(x,y * y,y) = (y * (y * y)) \ (x \ ((x * ((1 / y) \ y)) * y)).
(x * (x * x)) \ (y \ ((y * ((1 / x) \ x)) * x)) = a(y,x * x,x).
x * L(y \ R(y,z,u),y,x) = (x / y) * R(y,z,u).
L(x \ R(x,y,z),x,u) = u \ (R(x,y,z) * (x \ u)).
x * (y \ (x * R(x \ y,z,u))) = (x / (x \ y)) * R(x \ y,z,u).
(x / (x \ y)) * R(x \ y,z,u) = x * (y \ (x * R(x \ y,z,u))).
(R(x,y,z) * (x \ u)) * K(L(x \ R(x,y,z),x,u),u) = (u \ (R(x,y,z) * (x \ u))) * u.
1 / T((R(x,y,z) * (x \ u)) \ u,L(x \ R(x,y,z),x,u)) = ((R(x,y,z) * (x \ u)) \ u) \ 1.
L(a(x,y,z),x,u) = L(a(x,y,z),x,x \ u).
L(a(x,y,z),x,x \ u) = L(a(x,y,z),x,u).
x * L(a(y,z,u),y,x) = (a(y,z,u) * y) * (y \ x).
(a(x,y,z) * x) * (x \ u) = u * L(a(x,y,z),x,u).
T(x,a(x,y,z)) * (u * L(a(x,y,z),x,u)) = x * ((x * a(x,y,z)) * (x \ u)).
(x * (x * x)) \ (y \ ((y * x) * (x * x))) = a(y,x * x,x).
a(x,y,y * y) = a(x,y * y,y).
a(x,y * y,y) = a(x,y,y * y).
x * (y * L(a(x,z,u),x,y)) = x * ((x * a(x,z,u)) * (x \ y)).
x * ((x * a(x,y,z)) * (x \ u)) = x * (u * L(a(x,y,z),x,u)).
x * ((x * a(x,y,z)) * (x \ u)) = (a(x,y,z) * x) * u.
x * ((y / x) * (x * a(x,z,u))) = (a(x,z,u) * x) * y.
(x \ (x / (x \ ((y * T(x,z)) \ u)))) \ 1 = 1 / (((y * x) \ u) \ T(x,z)).
1 / (((x * y) \ z) \ T(y,u)) = 1 / (((x * T(y,u)) \ z) \ y).
1 / (((x * T(y,z)) \ u) \ y) = 1 / (((x * y) \ u) \ T(y,z)).
L(1 / (1 / (((x * y) \ z) \ T(y,u))),y \ ((x * T(y,u)) \ z),y \ ((x * T(y,u)) \ z)) = ((x * T(y,u)) \ z) \ y.
((x \ (a(y,z,u) \ x)) \ 1) * L(w,a(y,z,u),x) = R(a(y,z,u) * w,a(y,z,u),x).
a(x,x,y) * a(x,x,y) = (a(x,x,y) * y) * (y \ a(x,x,y)).
(a(x,x,y) * y) * (y \ a(x,x,y)) = a(x,x,y) * a(x,x,y).
a(x,x,y) * a(x,x,y) = L(y,x,x \ (x \ 1)) / y.
L(x,y,y \ (y \ 1)) / x = a(y,y,x) * a(y,y,x).
a(x,x,y) * a(x,x,y) = y \ L(y,x,x \ (x \ 1)).
x \ L(x,y,y \ (y \ 1)) = a(y,y,x) * a(y,y,x).
(a(x,x,y) * a(x,x,y)) \ y = (L(y,x,x \ (x \ 1)) \ y) * y.
((a(x,x,y) * a(x,x,y)) * z) \ z = z \ ((y \ L(y,x,x \ (x \ 1))) \ z).
x / T((y * (x \ 1)) \ y,(y / x) \ (y * (x \ 1))) = ((x * (y \ (y / x))) * x) \ x.
1 / (((x * (y \ 1)) \ x) \ y) = (((x * (y \ 1)) \ x) \ y) \ 1.
1 / ((((x * (y \ 1)) \ x) \ y) \ 1) = y \ (1 / (x \ (x / y))).
x \ (1 / (y \ (y / x))) = ((y * (x \ 1)) \ y) \ x.
((x * (y \ 1)) \ x) \ y = y \ (1 / (x \ (x / y))).
L(a(x,y,z) * u,a(x,y,z),w) = ((w \ (a(x,y,z) \ w)) \ 1) * L(u,a(x,y,z),w).
((x \ (a(y,z,u) \ x)) \ 1) * L(w,a(y,z,u),x) = L(a(y,z,u) * w,a(y,z,u),x).
x / ((y * (x \ 1)) \ y) = ((x * (y \ (y / x))) * x) \ x.
((x * (y \ (y / x))) * x) \ x = x / ((y * (x \ 1)) \ y).
((x * (y \ (y / x))) * x) \ x = (y / x) \ (y * (x \ 1)).
((x * (y \ 1)) \ x) \ y = (x / y) \ (x * (y \ 1)).
(x / y) \ (x * (y \ 1)) = y \ (1 / (x \ (x / y))).
((x \ (1 / (y \ (y / x)))) \ z) * ((y / x) \ (y * (x \ 1))) = z.
x / (y \ (1 / (z \ (z / y)))) = ((z / y) \ (z * (y \ 1))) \ x.
(x * (y \ (y / x))) \ 1 = x \ (1 / (y \ (y / x))).
(x \ (1 / (y \ (y / x)))) \ 1 = x * (y \ (y / x)).
L(x * (y * (z \ (z / y))),y \ (1 / (z \ (z / y))),(y * (z \ (z / y))) \ 1) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
((x \ (1 / (y \ (y / x)))) \ z) * (x \ (1 / (y \ (y / x)))) = z.
x / (y \ (1 / (z \ (z / y)))) = (y \ (1 / (z \ (z / y)))) \ x.
x \ R(L(a(y,z,u) \ 1,a(y,z,u),x \ 1),x,x \ 1) = T(a(y,z,u) \ (1 / x),x).
a(1 / x,1 / x,L(y,x,x)) \ (1 / x) = (y / x) / ((1 / (1 / x)) * (y / x)).
a(1 / x,x \ 1,L(y,x,x)) \ (1 / x) = (y / x) / ((1 / (1 / x)) * (y / x)).
a(x \ 1,x \ 1,L(y,x,x)) \ (1 / x) = (y / x) / ((1 / (1 / x)) * (y / x)).
a(x \ 1,x \ 1,y) \ (1 / x) = (y / x) / ((1 / (1 / x)) * (y / x)).
(x / y) / ((1 / (1 / y)) * (x / y)) = a(y \ 1,y \ 1,x) \ (1 / y).
(x / y) / ((1 / (1 / y)) * (x / y)) = a(y,y \ 1,x) / y.
R(1 / (1 / (1 / x)),1 / (1 / x),x \ y) = a(x,x \ 1,y) / x.
a(x,x \ 1,y) / x = R(1 / (1 / (1 / x)),(1 / x) \ 1,x \ y).
R(1 / (1 / (1 / x)),(1 / x) \ 1,x \ y) = a(x,x \ 1,y) / x.
R(1 / (1 / (1 / x)),x,x \ y) = a(x,x \ 1,y) / x.
L(x * K(y,z),K(z,y) * (x \ u),K(z,y) * (x \ u)) = (((x * K(y,z)) / u) \ 1) \ u.
x \ L(R(a(y,z,u) \ 1,x,x \ 1),a(y,z,u),x \ 1) = T(a(y,z,u) \ (1 / x),x).
(((x * K(y,z)) / u) \ 1) \ u = L(x * K(y,z),K(z,y) * (x \ u),x \ u).
L(x * K(y,z),K(z,y) * (x \ u),x \ u) = (((x * K(y,z)) / u) \ 1) \ u.
(((x * K(y,z)) / u) \ 1) \ u = L(x * K(y,z),x \ u,x \ u).
L(x * K(y,z),x \ u,x \ u) = (((x * K(y,z)) / u) \ 1) \ u.
L(x * K(y,z),x \ u,x \ u) = ((x / (u * K(z,y))) \ 1) \ u.
((x / (y * K(z,u))) \ 1) \ y = (((x / y) \ 1) \ y) * K(u,z).
((x / ((y \ z) * y)) \ 1) \ z = (((x / z) \ 1) \ z) * K(y,y \ z).
(((x / y) \ 1) \ y) * K(z,z \ y) = ((x / ((z \ y) * z)) \ 1) \ y.
((x / ((y \ z) * y)) \ 1) \ z = ((x / z) \ 1) \ (y * (z / y)).
((x * y) \ L(x,y,y)) * (x * R(y,y,x)) = x * K((x * R(y,y,x)) \ x,x * y).
((x * y) \ L(x,y,y)) * (x * R(y,y,x)) = x * K(R(y,y,x) \ 1,x * y).
((x * y) \ L(x,y,y)) * (x * R(y,y,x)) = x * K(y \ 1,x * y).
T(x * K(y \ 1,x * y),x) = ((x * R(y,y,x)) \ x) * (x * R(y,y,x)).
((x * R(y,y,x)) \ x) * (x * R(y,y,x)) = T(x * K(y \ 1,x * y),x).
((x * R(y,y,x)) \ x) * (x * R(y,y,x)) = K(y \ 1,x * y) * x.
((x * R(y,y,x)) \ x) * (x * R(y,y,x)) = x * K(y \ 1,y * x).
R(x,y,L(z * u,T(z,u),T(z,u)) \ T(z,u)) = R(x,y,L((u * z) \ z,z,z * u)).
R(x,y,L(z * u,T(z,u),T(z,u)) \ T(z,u)) = R(x,y,L(z \ (u \ z),z,z * u)).
R(x,y,L(z * u,z,z) \ T(z,u)) = R(x,y,L(z \ (u \ z),z,z * u)).
R(x,y,L(z \ (u \ z),z,z * u)) = R(x,y,L(z * u,z,z) \ T(z,u)).
R(x,y,L(z \ (u \ z),z,z * u)) = R(x,y,L(u * z,z,z) \ z).
R(x,y,L(z \ (u \ z),z,z * u)) = R(x,y,((z \ 1) \ u) \ z).
R(x,y,((z \ 1) \ u) \ z) = R(x,y,L(L(u \ 1,u,z),z,z)).
R(x,y,L(L(z \ 1,z,u),u,u)) = R(x,y,((u \ 1) \ z) \ u).
((1 / x) * y) \ (K(x \ y,z) * (x \ y)) = K((1 / x) * y,z) * (((x \ y) / y) * x).
((1 / x) * y) \ T(x \ y,z) = K((1 / x) * y,z) * (((x \ y) / y) * x).
K((1 / x) * y,z) * (((x \ y) / y) * x) = ((1 / x) * y) \ T(x \ y,z).
K(x \ y,z) * (((x \ y) / y) * x) = ((1 / x) * y) \ T(x \ y,z).
((1 / x) * y) \ T(x \ y,z) = (T(x \ y,z) / y) * x.
L(x,y,L((T(z \ u,w) / u) \ v5,T(z \ u,w) / u,z)) = L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)).
R(K(x,R(y,y,z) \ z) / z,z,L(1 / y,y,z)) = L(1 / y,y,z) / T(z / y,x).
R(K(x,y \ z) / z,z,L(1 / y,y,z)) = L(1 / y,y,z) / T(z / y,x).
L(1 / x,x,y) / T(y / x,z) = R(K(z,x \ y) / y,y,L(x \ 1,x,y)).
R(K(x,y \ z) / z,z,L(y \ 1,y,z)) = L(1 / y,y,z) / T(z / y,x).
L(1 / x,x,y) / T(y / x,z) = R(K(z,x \ y) / y,y,x \ 1).
R(K(x,y \ z) / z,z,y \ 1) = L(1 / y,y,z) / T(z / y,x).
L(1 / x,x,y) / T(y / x,z) = (x \ 1) / T(y * (x \ 1),z).
(x \ 1) / T(y * (x \ 1),y \ 1) = (y / x) \ L(1 / x,x,y).
(x / y) \ L(1 / y,y,x) = (y \ 1) / T(x * (y \ 1),x \ 1).
(x / y) \ L(1 / y,y,x) = (x * (y \ 1)) \ (y \ 1).
(R(x,y,x \ 1) \ y) / y = R(R(1 / x,y,x \ 1),R(x,y,x \ 1),x \ y).
R(R(1 / x,y,x \ 1),R(x,y,x \ 1),x \ y) = (R(x,y,x \ 1) \ y) / y.
(R(x,y,x \ 1) \ y) / y = R(R(1 / x,y,x \ 1),x,x \ y).
R(R(1 / x,y,x \ 1),x,x \ y) = (R(x,y,x \ 1) \ y) / y.
R(R(1 / x,y,x \ 1),x,x \ y) = (x * y) \ T(y,x \ 1).
(x \ ((x \ 1) \ y)) * (y \ 1) = ((1 / y) * (x * (y / (x * y)))) * y.
((1 / x) * (y * (x / (y * x)))) * x = (y \ ((y \ 1) \ x)) * (x \ 1).
R(x * ((y * x) \ y),T(x,z),x \ u) * u = L(T(x,z),x \ 1,y) * (T(x,z) \ u).
R(x * ((y * x) \ y),x,x \ z) * z = L(T(x,u),x \ 1,y) * (T(x,u) \ z).
a((x / y) \ L(T(y,y \ x),x / y,x / y),z,u) = a(x \ (y * y),z,u).
a((x \ y) \ (((x / y) \ 1) \ y),z,u) = a(y \ (x * x),z,u).
a(x \ (y * y),z,u) = a((y \ x) \ (((x \ y) \ 1) \ x),z,u).
a((x \ y) \ (((y \ x) \ 1) \ y),z,u) = a(y \ (x * x),z,u).
(R(x,y,z) * (x \ u)) * K(x \ R(x,y,z),u) = (u \ (R(x,y,z) * (x \ u))) * u.
(x \ (R(y,z,u) * (y \ x))) * x = (R(y,z,u) * (y \ x)) * K(y \ R(y,z,u),x).
(x \ (R(y,z,u) * (y \ x))) * x = (R(y,z,u) * (y \ x)) * 1.
R(x,y,z) * (x \ u) = (u \ (R(x,y,z) * (x \ u))) * u.
(x \ (R(y,z,u) * (y \ x))) * x = R(y,z,u) * (y \ x).
a(x,x,L(y,x,z)) * z = R(x,x,y) * (x \ z).
x * (a(x,x,L(y,x,z)) * z) = R(x,x,y) * z.
T(R(x,x,y) * (x \ z),K(z,u)) = z * a(x,x,L(y,x,z)).
a(x,x,L(y,x,R(x,x,z))) * R(x,x,z) = R(x,x,y) * a(x,x,z).
x * a(y,y,L(z,y,x)) = (x / y) * R(y,y,z).
(x \ L(x,y,y)) * a(y,y,L(z,y,x \ L(x,y,y))) = R(1 / y,y,x) * R(y,y,z).
a(x,x,L(y,x,L(x,x,z))) * R(x,x,z) = R(x,x,y) * a(x,x,z).
a(x,x,y) * R(x,x,z) = R(x,x,y) * a(x,x,z).
(x \ L(x,y,y)) * a(y,y,z) = R(1 / y,y,x) * R(y,y,z).
R(1 / x,x,y) * R(x,x,z) = (y \ L(y,x,x)) * a(x,x,z).
(x / (y * x)) * R(y,y,z) = (x \ L(x,y,y)) * a(y,y,z).
(x \ L(x,y,y)) * a(y,y,z) = (x / (y * x)) * R(y,y,z).
(x / (y * x)) * R(y,y,z) = a(y,y,x) \ a(y,y,z).
a(x,x,y) \ a(x,x,z) = (y / (x * y)) * R(x,x,z).
a(x,x,y) * L(z,a(x,x,u) \ a(x,x,y),a(x,x,u)) = a(x,x,u) * (((u / (x * u)) * R(x,x,y)) * z).
T(x \ ((y * x) * (y \ 1)),K(y * x,y \ 1)) = (y \ 1) * (K(y * x,y \ 1) * R(y,y,x)).
((x / y) / x) \ ((((x / y) / x) / (1 / y)) * z) = L((1 / y) \ z,1 / y,y * (x \ (y \ x))).
L((1 / x) \ y,1 / x,x * (z \ (x \ z))) = ((z / x) / z) \ ((((z / x) / z) / (1 / x)) * y).
(x \ y) * K(L(1 / x,x,y),T((x \ y) * x,x \ 1)) = L(1 / x,x,y) * ((x \ y) * x).
(x \ y) * K(L(1 / x,x,y),x * (x \ y)) = L(1 / x,x,y) * ((x \ y) * x).
(x \ y) * K(L(1 / x,x,y),y) = L(1 / x,x,y) * ((x \ y) * x).
L(1 / x,x,y) * ((x \ y) * x) = (x \ y) * K(L(1 / x,x,y),y).
L(1 / x,x,y) * ((x \ y) * x) = (x \ y) * K(1 / x,y).
L(1 / x,x,y) * ((x \ y) * x) = (x \ y) * K(x \ 1,y).
T((x * y) \ R(x,y,y),L(y,y,x)) = L(L(y,y,x) \ 1,L(y,y,x),y * x).
L(L(x,x,y) \ 1,L(x,x,y),x * y) = T((y * x) \ R(y,x,x),L(x,x,y)).
L(L(x,x,y) \ 1,L(x,x,y),x * y) = T((y * x) \ R(y,x,x),x).
T((x * y) \ R(x,y,y),y) = (x * (T(y,x) * y)) \ ((y * x) * 1).
T((x * y) \ R(x,y,y),y) = (x * (y * T(y,x))) \ ((y * x) * 1).
T((x * y) \ R(x,y,y),y) = (x * (y * T(y,x))) \ (y * x).
T((x * y) \ R(x,y,y),y) = (x * (y * y)) \ (x * y).
T((x * L(y,y,x)) \ x,y) = (x * (y * y)) \ (x * y).
1 / ((x * (y * y)) \ (x * y)) = ((x * y) \ R(x,y,y)) \ 1.
x * (((y / (y / z)) \ x) \ 1) = R(y / (y / z),K(z,z \ y) * (z \ x),x \ ((y / z) \ y)).
R(x / (x / y),K(y,y \ x) * (y \ z),z \ ((x / y) \ x)) = z * (((x / (x / y)) \ z) \ 1).
R(x,y,z) \ (R(u \ (u / x),y,z) \ 1) = a(R(u,y,z),R(x,y,z),R(x,y,z) \ 1).
a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1) = R(u,y,z) \ (R(x \ (x / u),y,z) \ 1).
a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1) = R(u,y,z) \ R((x \ (x / u)) \ 1,y,z).
a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1) = R(u \ ((x \ (x / u)) \ 1),y,z).
R(x \ ((y \ (y / x)) \ 1),z,u) = a(R(y,z,u),R(x,z,u),R(x,z,u) \ 1).
R(a(x,y,y \ 1),z,u) = a(R(x,z,u),R(y,z,u),R(y,z,u) \ 1).
a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1) = R(a(x,u,u \ 1),y,z).
a(L(x,y,z),u,u \ 1) = a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1).
a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1) = a(L(x,y,z),u,u \ 1).
T(x \ ((y * x) * (y \ 1)),K(y * x,y \ 1)) = (y \ 1) * R(K(y * x,y \ 1) * y,y,x).
((x / y) / x) \ ((((x / y) / x) / (1 / y)) * z) = L((1 / y) \ z,y \ 1,y * (x \ (y \ x))).
L((1 / x) \ y,x \ 1,x * (z \ (x \ z))) = ((z / x) / z) \ ((((z / x) / z) / (1 / x)) * y).
R(x / (x / y),K(y,y \ x) * (y \ z),z \ y) = z * (((x / (x / y)) \ z) \ 1).
x * (((y / (y / z)) \ x) \ 1) = R(y / (y / z),z \ x,x \ z).
R(x / (x / y),y \ z,z \ y) = z * (((x / (x / y)) \ z) \ 1).
(x * (((x / (x / y)) \ x) \ 1)) \ y = ((1 / (x \ y)) \ x) / y.
(x * ((x / y) \ 1)) \ y = ((1 / (x \ y)) \ x) / y.
((1 / (x \ y)) \ x) / y = (x * ((x / y) \ 1)) \ y.
(x * ((x / y) \ 1)) \ y = (x / y) * (x \ y).
x / ((y / x) * (y \ x)) = y * ((y / x) \ 1).
((x / y) \ 1) * R(x,(x / y) \ 1,x) = T(y / ((x / y) * (x \ y)),x).
T(x / ((y / x) * (y \ x)),y) = ((y / x) \ 1) * R(y,(y / x) \ 1,y).
T(x / ((y / x) * (y \ x)),y) = ((y / x) \ 1) * R(y,(x \ y) \ 1,y).
T(x / ((y / x) * (y \ x)),y) = ((y / x) \ 1) * R(y,y \ x,y).
T(x / ((y / x) * (y \ x)),y) = R((x / y) * y,y \ x,y).
T(x / ((y / x) * (y \ x)),y) = R(x,y \ x,y).
T(x * ((x / y) \ 1),x) = R(y,x \ y,x).
T(x * (y \ 1),x) = R(y \ x,x \ (y \ x),x).
R(x \ y,y \ (x \ y),y) = T(y * (x \ 1),y).
x \ T(y * ((y / x) \ 1),y) = a(x,y \ x,y).
(x * ((x / y) \ 1)) * (K(z,u) * K(x * ((x / y) \ 1),x)) = R(y,x \ y,x) * K(z,u).
R((1 / x) \ T(y,x),y \ ((1 / x) \ y),T(y,x)) = T(T(y,x) * ((1 / x) \ 1),T(y,x)).
a((x \ y) \ 1,y \ (x \ y),y) = T(y * (x \ 1),y) \ (x \ y).
L(x,y,a(z,u \ z,u)) = L(x,y,z \ (u * ((u / z) \ 1))).
L(x,y,z \ (u * ((u / z) \ 1))) = L(x,y,a(z,u \ z,u)).
a(a(x,y \ x,y),z,u) = a(x \ (y * ((y / x) \ 1)),z,u).
a(x \ (y * ((y / x) \ 1)),z,u) = a(a(x,y \ x,y),z,u).
L(x,y,a(z,u \ z,u)) = L(x,y,z \ (u * ((z \ u) \ 1))).
L(x,y,z \ (u * ((z \ u) \ 1))) = L(x,y,a(z,u \ z,u)).
a(a(x,y \ x,y),z,u) = a(x \ (y * ((x \ y) \ 1)),z,u).
a(x \ (y * ((x \ y) \ 1)),z,u) = a(a(x,y \ x,y),z,u).
L(x,y,a(z \ u,z \ u,z)) = L(x,y,a(z,u \ z,u)).
L(x,y,a(z \ u,z \ u,u)) = L(x,y,a(z,u \ z,u)).
L(x,y,a(z,(u \ z) \ z,u \ z)) = L(x,y,a(u,u,z)).
L(x,y,a(z,u,u \ z)) = L(x,y,a(u,u,z)).
a(a(x \ y,x \ y,x),z,u) = a(a(x,y \ x,y),z,u).
a(a(x \ y,x \ y,y),z,u) = a(a(x,y \ x,y),z,u).
a(a(x,(y \ x) \ x,y \ x),z,u) = a(a(y,y,x),z,u).
a(a(x,y,y \ x),z,u) = a(a(y,y,x),z,u).
(x * ((x / y) \ 1)) * (K(z,u) * K(x / (x / y),x)) = R(y,x \ y,x) * K(z,u).
(x * ((x / y) \ 1)) * (K(z,u) * K((x / y) \ x,x)) = R(y,x \ y,x) * K(z,u).
(x * ((x / y) \ 1)) * (K(z,u) * K(y,x)) = R(y,x \ y,x) * K(z,u).
R(x,y \ x,y) * K(z,u) = y * (((y / x) \ 1) * (K(z,u) * K(x,y))).
x * (((x / y) \ 1) * (K(z,u) * K(y,x))) = R(y,x \ y,x) * K(z,u).
x * (((x / y) \ K(z,u)) * K(y,x)) = R(y,x \ y,x) * K(z,u).
x * ((T(x,y) / y) \ K(z,u)) = R(y,x \ y,x) * K(z,u).
R(x * K(y,z),u \ x,u) = u * ((T(u,x) / x) \ K(y,z)).
x * ((T(x,y) / y) \ K(z,u)) = R(y * K(z,u),x \ y,x).
T(x * ((T(x,y) / y) \ 1),z) = R(y * K(y,z),x \ y,x).
T(x * ((T(x,y) / y) \ 1),z) = R(T(y,z),x \ y,x).
R(T(x,x),y \ x,y) = y * ((T(y,x) / x) \ 1).
R(x,y \ x,y) = y * ((T(y,x) / x) \ 1).
x * ((T(x,y) / y) \ 1) = R(y,x \ y,x).
x * ((T(x,y) / R(y,z,u)) \ 1) = R(R(y,z,u),x \ R(y,z,u),x).
R(R(x,y,z),u \ R(x,y,z),u) = u * ((T(u,x) / R(x,y,z)) \ 1).
R(x,x / y,y) = y * ((T(y,x) / x) \ 1).
x * ((T(x,y) / y) \ 1) = R(y,y / x,x).
x * ((T(x,x \ L(x,y,z)) / (x \ L(x,y,z))) \ 1) = x \ L(x,y,z).
x * ((T(x,y) / L(y,z,u)) \ 1) = R(L(y,z,u),L(y,z,u) / x,x).
R(L(x,y,z),L(x,y,z) / u,u) = u * ((T(u,x) / L(x,y,z)) \ 1).
x * ((T(x,y) / R(y,z,y)) \ 1) = R(R(y,z,y),x \ y,x).
R(L(L(x,y,z),u,w),L(L(x,y,z),u,w) / x,x) = x * ((x / L(L(x,y,z),u,w)) \ 1).
x * ((x / (x \ L(x,y,z))) \ 1) = x \ L(x,y,z).
x * (((x \ L(x,y,z)) \ x) \ 1) = x \ L(x,y,z).
x * (((L(x,y,z) \ x) * x) \ 1) = x \ L(x,y,z).
x \ (x \ L(x,y,z)) = ((L(x,y,z) \ x) * x) \ 1.
((L(x,y,z) \ x) * x) \ 1 = x \ (x \ L(x,y,z)).
(x * (L(x,y,z) \ x)) \ 1 = x \ (x \ L(x,y,z)).
K(x,y) / (z \ (z \ L(z,u,w))) = K(x,y) * (z * (L(z,u,w) \ z)).
((x \ L(x,y,z)) / x) \ 1 = x * (L(x,y,z) \ x).
a(x,L(y,z,u) \ y,y) = ((x * (L(y,z,u) \ y)) * T(y,L(y,z,u) \ y)) / (x * (((y \ L(y,z,u)) / y) \ 1)).
((x * (L(y,z,u) \ y)) * T(y,L(y,z,u) \ y)) / (x * (((y \ L(y,z,u)) / y) \ 1)) = a(x,L(y,z,u) \ y,y).
T(T(x,y) * ((1 / y) \ 1),T(x,y)) = R((1 / y) \ T(x,y),x \ ((1 / y) \ x),x).
R((1 / x) \ T(y,x),y \ ((1 / x) \ y),y) = T(T(y,x) * ((1 / x) \ 1),T(y,x)).
T(T(x,y) * ((1 / y) \ 1),T(x,y)) = R((1 / y) \ T(x,y),x \ ((y \ 1) \ x),x).
R((1 / x) \ T(y,x),y \ ((x \ 1) \ y),y) = T(T(y,x) * ((1 / x) \ 1),T(y,x)).
R((1 / x) \ T(y,x),y \ ((x \ 1) \ y),y) = T(T(y,x) * x,T(y,x)).
R((1 / x) \ T(y,x),y \ ((x \ 1) \ y),y) = T(T(y,x) * x,y).
R((1 / x) \ T(y,x),y \ ((x \ 1) \ y),y) = R(y,x,y) * x.
R(L(L(x,y,z),u,w),L(L(x,y,z),u,w) / x,x) = x * ((L(L(x,y,z),u,w) \ x) \ 1).
x * ((L(L(x,y,z),u,w) \ x) \ 1) = R(L(L(x,y,z),u,w),x \ L(L(x,y,z),u,w),x).
R(L(L(x,y,z),u,w),x \ L(L(x,y,z),u,w),x) = x * ((L(L(x,y,z),u,w) \ x) \ 1).
L(R(L(x,y,z),x \ L(L(x,y,z),u,w),x),u,w) = x * ((L(L(x,y,z),u,w) \ x) \ 1).
L(L(R(x,x \ L(L(x,y,z),u,w),x),y,z),u,w) = x * ((L(L(x,y,z),u,w) \ x) \ 1).
L(L(R(x,x \ L(x,y,z),x),y,z),u,w) = x * ((L(L(x,y,z),u,w) \ x) \ 1).
L(L(x,y,z),u,w) = x * ((L(L(x,y,z),u,w) \ x) \ 1).
x * ((L(L(x,y,z),u,w) \ x) \ 1) = L(L(x,y,z),u,w).
x \ L(L(x,y,z),u,w) = (L(L(x,y,z),u,w) \ x) \ 1.
(L(L(x,y,z),u,w) \ x) \ 1 = x \ L(L(x,y,z),u,w).
1 / (x \ L(L(x,y,z),u,w)) = L(L(x,y,z),u,w) \ x.
T(x \ ((y * x) * (y \ 1)),K(y * x,y \ 1)) = (y \ 1) * R(y * K(y * x,y \ 1),y,x).
L((1 / x) \ y,x \ 1,x * (z \ (x \ z))) = ((z / x) / z) \ ((((z / x) / z) * x) * y).
((x / y) / x) \ ((((x / y) / x) * y) * z) = L((1 / y) \ z,y \ 1,x \ L(x,y,y)).
L((1 / x) \ y,x \ 1,z \ L(z,x,x)) = ((z / x) / z) \ ((((z / x) / z) * x) * y).
L((1 / x) \ y,x \ 1,z \ L(z,x,x)) = (z \ (z / x)) \ (((z \ (z / x)) * x) * y).
L((1 / x) \ y,x \ 1,z \ L(z,x,x)) = (z \ (z / x)) \ ((x * ((z * x) \ z)) * y).
T(x,y \ T(z * K(u,w / z),z \ w)) = T(x,T((T(z \ w,u) \ w) / y,z)).
T(x,y \ T(z * K(u,w / z),z \ w)) = T(x,T(T(z \ w,u) \ (w / y),z)).
T(x,y \ (T(z \ u,w) \ u)) = T(x,T(T(z \ u,w) \ (u / y),z)).
T(x,T(T(y \ z,u) \ (z / w),y)) = T(x,w \ (T(y \ z,u) \ z)).
T(x,T(T(y \ z,u) \ (z / w),y)) = T(x,w \ (z * T(y / z,u))).
(x * y) \ T(x * ((a(x,z,u) \ 1) * y),a(x,z,u)) = 1 / T(a(x,z,u),x * (a(x,z,u) \ y)).
L(R(x,y,L(L(x,z,u) \ x,L(x,z,u),y)),z,u) \ (x * y) = y * ((L(x,z,u) * y) \ (x * y)).
(x * R(R(x \ L(x,y,z),u,x),w,R(x,u,x))) \ L(x,u,x) = L(R(x,u,x),y,z) \ x.
(x * R(x \ L(x,y,z),u,R(x,w,x))) \ L(x,w,x) = L(R(x,w,x),y,z) \ x.
(x * (x \ L(x,y,z))) \ L(x,u,x) = L(R(x,u,x),y,z) \ x.
L(x,y,z) \ L(x,u,x) = L(R(x,u,x),y,z) \ x.
L(R(x,y,x),z,u) \ x = L(x,z,u) \ L(x,y,x).
((x * (y / x)) \ 1) \ (L(x * (y / x),z,u) \ 1) = (L(y,z,u) \ ((x \ y) * x)) * K(x,x \ y).
(x \ L(x,y,z)) * R((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = R(u,x,x \ L(x,y,z)).
L(x,y,y \ L(y,z,u)) = (y \ L(y,z,u)) * R((y \ L(y,z,u)) \ x,y,y \ L(y,z,u)).
(x \ L(x,y,z)) * R((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = L(u,x,x \ L(x,y,z)).
(x \ L(x,y,z)) * L((x \ L(x,y,z)) \ u,x,x \ L(x,y,z)) = L(u,x,x \ L(x,y,z)).
(x \ L(x,y,z)) * (x * (L(x,y,z) \ u)) = L(u,x,x \ L(x,y,z)).
(x \ L(x,y,z)) \ L(u,x,x \ L(x,y,z)) = x * (L(x,y,z) \ u).
L(x,y,y \ L(y,z,u)) = y * ((y \ L(y,z,u)) * (L(y,z,u) \ x)).
x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)) = L(u,x,x \ L(x,y,z)).
x * (a(y \ 1,y,x) * (L(x,y,y) \ z)) = L(z,x,x \ L(x,y,y)).
K(x,T(y,z)) * ((u \ ((1 / z) \ u)) * (z \ 1)) = (z \ 1) * (K(x,y) * (u \ ((z \ 1) \ u))).
K(x,T(y,z)) * ((u / (u * z)) * z) = (z \ 1) * (K(x,y) * (u \ ((z \ 1) \ u))).
(x \ 1) * (K(y,z) * (u \ ((x \ 1) \ u))) = x * (K(y,z) * T(u / (u * x),x)).
(x \ 1) * (K(y,z) * (u \ ((x \ 1) \ u))) = x * T((u / (u * x)) * K(y,z),x).
(x \ 1) * (K(y,z) * (u \ ((x \ 1) \ u))) = ((u / (u * x)) * K(y,z)) * x.
(x \ 1) * (K(y,z) * (u \ ((x \ 1) \ u))) = (u / (u * x)) * (K(y,z) * x).
(x / (x * y)) * (K(z,u) * y) = (y \ K(z,u)) * (x \ ((y \ 1) \ x)).
(x \ K(y,z)) * (u \ ((x \ 1) \ u)) = (u / (u * x)) * (K(y,z) * x).
L(L(x,x \ y,z) \ 1,L(x,x \ y,z),T(z * (y / x),x)) = (z * y) \ (z * (y / x)).
(x * y) \ (x * (y / z)) = L(L(z,z \ y,x) \ 1,L(z,z \ y,x),x * (y / z)).
L(L(x,x \ y,z) \ 1,L(x,x \ y,z),z * (y / x)) = (z * y) \ (z * (y / x)).
(x * y) \ (x * (y / z)) = L(L(z,z \ y,x) \ 1,L(z,z \ y,x),x * (z \ y)).
L(L(x,x \ y,z) \ 1,L(x,x \ y,z),z * (x \ y)) = (z * y) \ (z * (y / x)).
(x * y) \ (x * (y / z)) = (x * ((z \ y) * z)) \ ((x * (z \ y)) * 1).
(x * ((y \ z) * y)) \ ((x * (y \ z)) * 1) = (x * z) \ (x * (z / y)).
(x * ((y \ z) * y)) \ (x * (y \ z)) = (x * z) \ (x * (z / y)).
(x / (y \ 1)) * K((y \ K(y * x,y \ 1)) \ 1,x) = (x \ (x / (y \ 1))) * x.
(x / (y \ 1)) * K((y \ 1) \ K(1 / y,y * x),x) = (x \ (x / (y \ 1))) * x.
(x / (y \ 1)) * K((y \ 1) \ K(y \ 1,x * y),x) = (x \ (x / (y \ 1))) * x.
(x / (y \ 1)) * K((y \ 1) \ 1,T(x,y)) = (x \ (x / (y \ 1))) * x.
(x \ (x / (y \ 1))) * x = (x / (y \ 1)) * K((y \ 1) \ 1,T(x,y)).
(x \ (x / (y \ 1))) * x = (x / (y \ 1)) * K(y,T(x,y)).
(x \ (x / (y \ 1))) * x = (x / (y \ 1)) * K(y,x).
(x \ (x / (y \ 1))) * x = x / (T(y,x) \ 1).
L(x,x \ 1,y) * y = y / (T(x,y) \ 1).
R(L(x,x \ 1,y) \ 1,y,y \ (L(x,x \ 1,y) \ 1)) = y * ((y / (T(x,y) \ 1)) \ 1).
L(x,x,a(y,z,u)) * (a(y,z,u) \ 1) = (a(y,z,u) \ 1) / (T(x,a(y,z,u) \ 1) \ 1).
(a(x,y,z) \ 1) / (T(u,a(x,y,z) \ 1) \ 1) = L(u,u,a(x,y,z)) * (a(x,y,z) \ 1).
R(L(x \ 1,x,y \ 1),y,y \ (L(x,x \ 1,y) \ 1)) = y * ((y / (T(x,y) \ 1)) \ 1).
(a(x,y,z) \ 1) / (u \ 1) = L(u,u,a(x,y,z)) * (a(x,y,z) \ 1).
L(x,x,a(y,z,u)) * (a(y,z,u) \ 1) = (a(y,z,u) \ 1) / (x \ 1).
R(L(x \ 1,x,y \ 1),y,y \ L(x \ 1,x,y \ 1)) = y * ((y / (T(x,y) \ 1)) \ 1).
T((1 / (L(x,y,x) * y)) * x,y * x) = ((1 / (y * x)) * T(x / (y * x),K(y,z))) * (y * x).
((1 / (x * y)) * T(y / (x * y),K(x,z))) * (x * y) = T((1 / (L(y,x,y) * x)) * y,x * y).
((1 / (x * y)) * T(y / (x * y),K(x,z))) * (x * y) = T((1 / (y * x)) * R(y,x,y),x * y).
((1 / (x * y)) * T(y / (x * y),K(x,z))) * (x * y) = ((1 / y) * (x \ 1)) * y.
((1 / (x * y)) * (y / (x * y))) * (x * y) = ((1 / y) * (x \ 1)) * y.
(((1 / x) * (y \ 1)) * x) / x = L((y * x) \ 1,x,(y * x) \ 1).
L((x * y) \ 1,y,(x * y) \ 1) = (((1 / y) * (x \ 1)) * y) / y.
L((x * y) \ 1,y,(x * y) \ 1) = (1 / y) * (x \ 1).
L(x,y,(1 / z) * (u \ 1)) = L(x,y,(u * z) \ 1).
a(((1 / x) * (y \ 1)) * z,u,w) = a(z * ((y * x) \ 1),u,w).
a(((1 / x) * (y \ 1)) \ z,u,w) = a(((y * x) \ 1) \ z,u,w).
a(x \ ((1 / y) * (z \ 1)),u,w) = a(x \ ((z * y) \ 1),u,w).
L(x,y,z \ ((1 / u) * (w \ 1))) = L(x,y,z \ ((w * u) \ 1)).
R(x * y,x \ 1,x * y) = ((1 / y) * (x \ 1)) \ 1.
a(x,y,((1 / z) * (u \ 1)) \ w) = a(x,y,((u * z) \ 1) \ w).
L(x,y,z * (u \ 1)) = L(x,y,(u * (z \ 1)) \ 1).
L(x,y,(z * (u \ 1)) \ 1) = L(x,y,u * (z \ 1)).
L(x,y,(z * (u \ 1)) \ 1) = L(x,y,(z \ 1) * u).
L(x,y,(z * (L(1 / u,u,z \ 1) \ 1)) \ 1) = L(x,y,(z \ 1) / u).
a(x * ((y * x) \ 1),z,u) = a(L(y \ 1,x,x \ 1),z,u).
a(L(x \ 1,y,y \ 1),z,u) = a(y * ((x * y) \ 1),z,u).
a(x * ((y * z) \ 1),u,w) = a(((z \ 1) * (y \ 1)) * x,u,w).
a(((x \ 1) * (y \ 1)) * z,u,w) = a(z * ((y * x) \ 1),u,w).
a(x * (((x \ y) * x) \ 1),z,u) = a(((x \ 1) * y) \ 1,z,u).
a(((x * y) \ 1) \ z,u,w) = a(((y \ 1) * (x \ 1)) \ z,u,w).
a(((x \ 1) * (y \ 1)) \ z,u,w) = a(((y * x) \ 1) \ z,u,w).
a(x \ ((y * z) \ 1),u,w) = a(x \ ((z \ 1) * (y \ 1)),u,w).
a(x \ ((y \ 1) * (z \ 1)),u,w) = a(x \ ((z * y) \ 1),u,w).
L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ ((w \ 1) * (u \ 1))).
L(x,y,z \ ((u \ 1) * (w \ 1))) = L(x,y,z \ ((w * u) \ 1)).
a(x,y,(z * (u \ 1)) \ w) = a(x,y,((u * (z \ 1)) \ 1) \ w).
a(x,y,((z * (u \ 1)) \ 1) \ w) = a(x,y,(u * (z \ 1)) \ w).
a(x * ((y * (z \ 1)) \ 1),u,w) = a(((y \ 1) * z) * x,u,w).
a(((x \ 1) * y) \ 1,z,u) = a((y \ 1) * x,z,u).
a(((x \ 1) * y) \ 1,z,u) = a(x * (y \ 1),z,u).
a(((L(1 / x,x,y \ 1) \ 1) * y) \ 1,z,u) = a((y \ 1) / x,z,u).
a(x * (y \ 1),z,u) = a((y * (x \ 1)) \ 1,z,u).
a((x * (y \ 1)) \ 1,z,u) = a(y * (x \ 1),z,u).
a(((x * (x \ (x / y))) \ 1) \ z,u,w) = a(((y \ 1) \ (x \ 1)) \ z,u,w).
a(x \ ((y * (y \ (y / z))) \ 1),u,w) = a(x \ ((z \ 1) \ (y \ 1)),u,w).
L(x,y,z \ ((u * (w \ 1)) \ 1)) = L(x,y,z \ ((u \ 1) * w)).
L(x,y,z \ ((u * (u \ (u / w))) \ 1)) = L(x,y,z \ ((w \ 1) \ (u \ 1))).
a(x,y,(z * (u \ 1)) \ 1) = a(x,y,u * (z \ 1)).
a(x,y,(z \ 1) * (u \ 1)) = a(x,y,(u * z) \ 1).
a(x,y,(R(z,u,w) \ 1) * (R(v5,u,w) \ 1)) = a(x,y,R(v5 * z,u,w) \ 1).
a(x,y,R(z,z,u) * (w \ 1)) = a(x,y,(w * (u / (z * u))) \ 1).
a(x,y,(z * (u / (w * u))) \ 1) = a(x,y,R(w,w,u) * (z \ 1)).
a(x,y,(z \ 1) * (1 / u)) = a(x,y,(u * z) \ 1).
a(x,y,(z \ 1) * u) = a(x,y,((u \ 1) * z) \ 1).
a(x,y,((z \ 1) * u) \ 1) = a(x,y,(u \ 1) * z).
a(x \ 1,y,(y \ 1) * x) \ 1 = (x \ 1) * (y * (((x \ 1) * y) \ 1)).
(x \ 1) * (y * (((x \ 1) * y) \ 1)) = a(x \ 1,y,(y \ 1) * x) \ 1.
a(x \ K(y,x),z,z \ T(T(x,y),x \ 1)) = a(x \ K(y,x),z,(z \ 1) * x).
a(x * ((x * (y \ 1)) \ 1),z,u) = a(L(y,x,x \ 1),z,u).
a(x,y,L((z \ 1) * u,u,z)) = a(x,y,(z * (z / (u * z))) \ 1).
a(x,y,L((z \ 1) * u,u,z)) = a(x,y,(z * ((u * z) \ z)) \ 1).
L(x,y,(z * L(u,u \ 1,(z \ 1) \ 1)) \ 1) = L(x,y,(z \ 1) / u).
a((L(x,x \ 1,(y \ 1) \ 1) * y) \ 1,z,u) = a((y \ 1) / x,z,u).
L(x,y,(z * L(u,u \ 1,z)) \ 1) = L(x,y,(z \ 1) / u).
L(x,y,(z / (u \ 1)) \ 1) = L(x,y,(z \ 1) / u).
L(x,y,(z \ 1) / u) = L(x,y,((u \ 1) \ z) \ 1).
L(x,y,((z \ 1) \ u) \ 1) = L(x,y,(u \ 1) / z).
L(x,y,((z \ 1) \ u) \ 1) = L(x,y,z \ (u \ 1)).
L(x,y,(z \ 1) \ (u \ 1)) = L(x,y,(z \ u) \ 1).
L(x,y,(z \ (u * (w \ 1))) \ 1) = L(x,y,(z \ 1) \ ((u \ 1) * w)).
L(x,y,(z \ ((1 / u) * w)) \ 1) = L(x,y,(z \ 1) \ ((w \ 1) * u)).
L(x,y,(z \ 1) \ ((u \ 1) * w)) = L(x,y,(z \ ((w \ 1) * u)) \ 1).
L(x,y,(z \ ((u \ 1) * w)) \ 1) = L(x,y,(z \ 1) \ ((w \ 1) * u)).
a((L(x,x \ 1,y) * y) \ 1,z,u) = a((y \ 1) / x,z,u).
a((x / (T(y,x) \ 1)) \ 1,z,u) = a((x \ 1) / y,z,u).
a((x \ 1) / y,z,u) = a(((T(y,x) \ 1) \ x) \ 1,z,u).
a(((T(x,y) \ 1) \ y) \ 1,z,u) = a((y \ 1) / x,z,u).
a((x \ 1) / y,z,u) = a(((y \ 1) \ x) \ 1,z,u).
a(((x \ 1) \ y) \ 1,z,u) = a((y \ 1) / x,z,u).
a(((x \ 1) \ y) \ 1,z,u) = a(x \ (y \ 1),z,u).
a((x \ 1) \ (y \ 1),z,u) = a((x \ y) \ 1,z,u).
a(x \ ((x \ y) \ 1),z,u) = a(L(y \ 1,x,x),z,u).
a(L((x * y) \ 1,y,y),z,u) = a(y \ (x \ 1),z,u).
a((x \ (y \ 1)) \ 1,z,u) = a((x \ 1) \ y,z,u).
a(x \ ((L(x,y,y \ 1) \ (1 / y)) \ 1),z,u) = a(L(R(1 / y,y,x) \ 1,x,x),z,u).
a(L(R(1 / x,x,y) \ 1,y,y),z,u) = a(y \ ((L(y,x,x \ 1) \ (1 / x)) \ 1),z,u).
a(((x / y) \ 1) \ z,u,w) = a(((y \ 1) \ (x \ 1)) \ z,u,w).
a(((x \ 1) \ (y \ 1)) \ z,u,w) = a(((y / x) \ 1) \ z,u,w).
a(((x \ 1) \ (y \ 1)) \ z,u,w) = a(((x \ y) \ 1) \ z,u,w).
a(x \ ((y / z) \ 1),u,w) = a(x \ ((z \ 1) \ (y \ 1)),u,w).
a(x \ ((y \ 1) \ (z \ 1)),u,w) = a(x \ ((z / y) \ 1),u,w).
a(x \ ((y \ 1) \ (z \ 1)),u,w) = a(x \ ((y \ z) \ 1),u,w).
L(x,y,z \ ((u / w) \ 1)) = L(x,y,z \ ((w \ 1) \ (u \ 1))).
L(x,y,z \ ((u \ 1) \ (w \ 1))) = L(x,y,z \ ((w / u) \ 1)).
L(x,y,z \ ((u / z) \ 1)) = L(x,y,L(u \ 1,z,z)).
L(x,y,L(z \ 1,u,u)) = L(x,y,u \ ((u \ z) \ 1)).
L(x,y,z \ ((z \ u) \ 1)) = L(x,y,L(u \ 1,z,z)).
L(x,y,z \ (u \ 1)) = L(x,y,L((z * u) \ 1,z,z)).
L(x,y,L((z * u) \ 1,z,z)) = L(x,y,z \ (u \ 1)).
a(x,y,R(z \ 1,u,w) * (R(v5,u,w) \ 1)) = a(x,y,R(v5 * z,u,w) \ 1).
a(x,y,R(z \ 1,u,w) * R(v5 \ 1,u,w)) = a(x,y,R(v5 * z,u,w) \ 1).
a(x,y,R((z \ 1) * (u \ 1),w,v5)) = a(x,y,R(u * z,w,v5) \ 1).
a(x,y,L((z \ 1) * (u \ 1),w,v5)) = a(x,y,R(u * z,w,v5) \ 1).
a(x,y,L((z \ 1) * (u \ 1),w,v5)) = a(x,y,R((u * z) \ 1,w,v5)).
a(x,y,L((z * u) \ 1,w,v5)) = a(x,y,L((u \ 1) * (z \ 1),w,v5)).
a(x,y,L((z \ 1) * (u \ 1),w,v5)) = a(x,y,L((u * z) \ 1,w,v5)).
a(x,y,L((z * u) \ 1,z,z)) = a(x,y,z \ (u \ 1)).
a(x,y,L(z \ 1,u,u)) = a(x,y,u \ ((u \ z) \ 1)).
a(x,y,z \ ((z \ u) \ 1)) = a(x,y,L(u \ 1,z,z)).
a(x,y,z \ ((u / z) \ 1)) = a(x,y,L(u \ 1,z,z)).
a(x,y,z \ ((L(z,u,u \ 1) \ (1 / u)) \ 1)) = a(x,y,L(R(1 / u,u,z) \ 1,z,z)).
a(x,y,L(R(1 / z,z,u) \ 1,u,u)) = a(x,y,u \ ((L(u,z,z \ 1) \ (1 / z)) \ 1)).
a(x \ K(y,x),z,z \ T(T(x,y),x \ 1)) = a(x \ 1,z,(z \ 1) * x).
a(x \ 1,y,(y \ 1) * x) = a(x \ K(z,x),y,y \ T(x,z)).
a(x \ K(y,x),z,z \ T(x,y)) = a(x \ 1,z,(z \ 1) * x).
a(x \ 1,y,(y \ 1) * x) = a(x \ K(z,x),y,y \ x).
a(x \ K(y,x),z,z \ x) = a(x \ 1,z,(z \ 1) * x).
a(x \ 1,y,y \ x) = a(x \ 1,y,(y \ 1) * x).
a(x \ 1,y,(y \ 1) * x) = a(x \ 1,y,y \ x).
(x \ 1) * (y * (((x \ 1) * y) \ 1)) = a(x \ 1,y,y \ x) \ 1.
(x \ 1) * (y * (((x \ 1) * y) \ 1)) = a(x,y,y \ x).
(x \ 1) * (((x \ 1) \ y) * (y \ 1)) = a(x,(x \ 1) \ y,((x \ 1) \ y) \ x).
a(x,(x \ 1) \ y,((x \ 1) \ y) \ x) = (x \ 1) * (((x \ 1) \ y) * (y \ 1)).
a(x \ 1,(x \ 1) \ y,((x \ 1) * ((x \ 1) \ y)) \ 1) \ (y * (((x \ 1) * ((x \ 1) \ y)) \ 1)) = a(x,(x \ 1) \ y,((x \ 1) \ y) \ x).
a(L(R(1 / x,x,y) \ 1,y,y),z,u) = a(y \ ((x * ((x * y) \ 1)) \ x),z,u).
a(L(R(1 / x,x,y) \ 1,y,y),z,u) = a(y \ (x \ (((x * y) \ 1) \ x)),z,u).
a(L(R(x,x,y),y,y),z,u) = a(y \ (x \ (((x * y) \ 1) \ x)),z,u).
a(L(L(x,x,y),y,y),z,u) = a(y \ (x \ (((x * y) \ 1) \ x)),z,u).
a(x,y,L(R(1 / z,z,u) \ 1,u,u)) = a(x,y,u \ ((z * ((z * u) \ 1)) \ z)).
a(x,y,L(R(1 / z,z,u) \ 1,u,u)) = a(x,y,u \ (z \ (((z * u) \ 1) \ z))).
a(x,y,L(R(z,z,u),u,u)) = a(x,y,u \ (z \ (((z * u) \ 1) \ z))).
a(x,y,L(L(z,z,u),u,u)) = a(x,y,u \ (z \ (((z * u) \ 1) \ z))).
L(x,y,R((z / ((1 / u) * z)) \ 1,w,(((1 / u) * z) \ z) \ 1) \ 1) = L(x,y,R(u,u \ 1,z)).
1 / (L(x \ 1,x,a(y,z,u)) \ a(y,z,u)) = T((a(y,z,u) * x) \ 1,x \ 1).
1 / T(a(x,y,z) * u,u \ 1) = T((a(x,y,z) * u) \ 1,u \ 1).
L(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = L(x,y,(R(w,v5,v6) / u) * z).
L(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = L(x,y,(u \ R(w,v5,v6)) * z).
L(x,y,L(z \ u,z,u \ L(w,v5,v6)) \ L(w,v5,v6)) = L(x,y,(u \ R(w,v5,v6)) * z).
L(x,y,T((L(z,u,w) / v5) * v6,v6 \ v5)) = L(x,y,(v5 \ R(z,u,w)) * v6).
L(x,y,(z \ R(u,w,v5)) * v6) = L(x,y,(L(u,w,v5) / z) * v6).
L(x,y,(L(z,u,w) / v5) * v6) = L(x,y,(v5 \ R(z,u,w)) * v6).
L(x,y,(z \ R(u,w,v5)) * v6) = L(x,y,(z \ L(u,w,v5)) * v6).
L(x,y,(z \ L(u,w,v5)) * v6) = L(x,y,(z \ R(u,w,v5)) * v6).
L(x,y,(z \ L(T(u,w),v5,v6)) * v7) = L(x,y,v7 * (z \ R(u,v5,v6))).
L(x,y,z * (u \ R(w,v5,v6))) = L(x,y,z * (u \ L(w,v5,v6))).
L(x,y,z * (u \ L(w,v5,v6))) = L(x,y,z * (u \ R(w,v5,v6))).
R(x \ R(x,y,z),u,w) / (x * R(x \ R(x,y,z),u,w)) = (x \ R(x,y,z)) / R(x,y,z).
R(1 / x,x,R(x \ R(x,y,z),u,w)) = (x \ R(x,y,z)) / R(x,y,z).
R(1 / x,x,R(x \ R(x,y,z),u,w)) = 1 / x.
R(1 / x,x,L(x \ R(x,y,z),u,w)) = 1 / x.
1 / x = (x \ R(R(x,y,z),u,w)) / R(R(x,y,z),u,w).
(x \ R(R(x,y,z),u,w)) / R(R(x,y,z),u,w) = 1 / x.
(1 / x) * R(R(x,y,z),u,w) = x \ R(R(x,y,z),u,w).
R(R(x,y,z),u,w) * (x \ 1) = x \ R(R(x,y,z),u,w).
(x * (y / (x * y))) / (y / (x * y)) = (y / (x * y)) \ (1 / (1 / ((y / (x * y)) * x))).
(x / (y * x)) \ (1 / (1 / ((x / (y * x)) * y))) = (y * (x / (y * x))) / (x / (y * x)).
(x / (y * x)) \ (1 / (1 / ((x / (y * x)) * y))) = y.
(x / (y * x)) \ (1 / (1 / (x \ L(x,y,y)))) = y.
(x / (y * x)) \ (1 / ((x \ L(x,y,y)) \ 1)) = y.
(x / (y * x)) \ (1 / (L(x,y,y) \ x)) = y.
(x / (y * x)) \ (1 / a(y,y,x)) = y.
(x / (y * x)) \ (a(y,y,x) \ 1) = y.
(x / (y * x)) \ a(y \ 1,y,x) = y.
L(x \ y,(z / (x * z)) \ a(x \ 1,x,z),z / (x * z)) = a(x \ 1,x,z) \ ((z / (x * z)) * y).
K(x,y) * (z * (u * R(u \ (z \ K(y,x)),w,a(u,v5,v6)))) = (R(z,w,a(u,v5,v6)) * u) \ (z * u).
R(x,y / (z * y),(y / (z * y)) \ K(z,u)) = (x * (y / (z * y))) * R(T(z,u) * K(u,z),z,y).
(x * (((R(x,x,y) \ x) * x) \ z)) \ (z * x) = (R(x,x,y) \ x) * x.
(x * ((a(x,x,y) \ x) \ z)) \ (z * x) = (R(x,x,y) \ x) * x.
(x * ((a(x,x,y) \ x) \ z)) \ (z * x) = a(x,x,y) \ x.
((R(x,x,y) \ x) * x) * (x \ z) = x \ (((R(x,x,y) \ x) * x) * z).
x \ (((R(x,x,y) \ x) * x) * z) = ((R(x,x,y) \ x) * x) * (x \ z).
x \ ((a(x,x,y) \ x) * z) = ((R(x,x,y) \ x) * x) * (x \ z).
((R(x,x,y) \ x) * x) * (x \ z) = x \ ((a(x,x,y) \ x) * z).
(a(x,x,y) \ x) * (x \ z) = x \ ((a(x,x,y) \ x) * z).
x \ ((a(x,x,y) \ x) * z) = (a(x,x,y) \ x) * (x \ z).
x * ((a(x,x,y) \ x) * (x \ z)) = (a(x,x,y) \ x) * z.
T(x \ ((y \ 1) * (y * x)),y * (x / (y * x))) * z = (((((y \ 1) * (y * x)) / x) \ 1) \ 1) * z.
(x \ 1) / (x * ((y * x) \ y)) = (x \ 1) * (((y * x) \ y) \ (x \ 1)).
(x \ 1) * (((y * x) \ y) \ (x \ 1)) = (x \ 1) / (x * ((y * x) \ y)).
(x \ 1) * (((y * x) \ y) \ (x \ 1)) = (x * ((y * x) \ y)) \ (x \ 1).
(x \ 1) * y != (x * ((z * x) \ z)) \ (x \ 1) | y = a(z,x,x \ 1).
((x * y) \ x) \ (y \ 1) = a(x,y,y \ 1).
(x * ((y * x) \ y)) \ 1 = ((y * x) \ y) \ (x \ 1).
(x * y) / T((x \ 1) \ y,x \ (1 / (y / (x * y)))) = ((x * (y / (x * y))) * (x * y)) \ (x * y).
1 / T((R(x,y,z) * (x \ u)) \ u,x \ R(x,y,z)) = ((R(x,y,z) * (x \ u)) \ u) \ 1.
1 / ((R(x,y,z) * (x \ u)) \ u) = ((R(x,y,z) * (x \ u)) \ u) \ 1.
(x * y) \ (x * ((a(x,z,u) \ 1) * y)) = 1 / T(a(x,z,u),x * (a(x,z,u) \ y)).
1 / T(a(x,y,z),x * (a(x,y,z) \ u)) = L(T(a(x,y,z) \ 1,u),u,x).
L(T(a(x,y,z) \ 1,u),u,x) = 1 / T(a(x,y,z),x * (a(x,y,z) \ u)).
L(a(x,y,z) \ 1,u,x) = 1 / T(a(x,y,z),x * (a(x,y,z) \ u)).
1 / T(a(x,y,z),x * (a(x,y,z) \ u)) = L(a(x,y,z) \ 1,u,x).
1 / a(x,y,z) = L(a(x,y,z) \ 1,u,x).
L(a(x,y,z) \ 1,u,x) = 1 / a(x,y,z).
L(a(x,y,z) \ 1,u,x) = a(x,y,z) \ 1.
L(R(a(x,y,z) \ 1,u,w),v5,x) = R(a(x,y,z) \ 1,u,w).
R(a(x,y,z) \ 1,u,w) = x \ (R(a(x,y,z),u,w) \ x).
x \ (R(a(x,y,z),u,w) \ x) = R(a(x,y,z) \ 1,u,w).
((x * (y / x)) \ 1) \ (L(x * (y / x),z,u) \ 1) = L(y,z,u) \ (x * (x \ y)).
((x * (y / x)) \ 1) \ (L(x * (y / x),z,u) \ 1) = L(y,z,u) \ y.
L(x,y,z) \ x = L(u * (x / u),y,z) \ (u * (x / u)).
L(x * (y / x),z,u) \ (x * (y / x)) = L(y,z,u) \ y.
L(x,y,R((z / ((1 / u) * z)) \ 1,w,(z \ ((1 / u) \ z)) \ 1) \ 1) = L(x,y,R(u,u \ 1,z)).
K(x,y) * (z * R(u * (u \ (z \ K(y,x))),w,a(u,v5,v6))) = (R(z,w,a(u,v5,v6)) * u) \ (z * u).
R(x,y / (z * y),(y / (z * y)) \ K(z,u)) = (x * (y / (z * y))) * R(z,z,y).
R(x,y / (z * y),R(T(z,u),z,y)) = (x * (y / (z * y))) * R(z,z,y).
R(x,y / (z * y),R(z,z,y)) = (x * (y / (z * y))) * R(z,z,y).
(x * (y / (z * y))) * R(z,z,y) = R(x,y / (z * y),R(z,z,y)).
(x * (y / (z * y))) * R(z,z,y) = R(x,(z * y) \ y,R(z,z,y)).
(x * (y / (z * y))) * R(z,z,y) = R(x,y \ (z \ y),R(z,z,y)).
R(x,y \ (z \ y),L(z,z,y)) = (x * (y / (z * y))) * R(z,z,y).
(x * (y / (z * y))) * R(z,z,y) = R(x,y \ (z \ y),L(z,z,y)).
(x \ ((y \ 1) * (y * x))) * z = (((((y \ 1) * (y * x)) / x) \ 1) \ 1) * z.
(((((x \ 1) * (x * y)) / y) \ 1) \ 1) * z = (y \ ((x \ 1) * (x * y))) * z.
(((x \ ((y \ 1) * (y * x))) \ 1) \ 1) * z = (x \ ((y \ 1) * (y * x))) * z.
((x * (y / (x * y))) \ 1) * z = (y \ ((x \ 1) * (x * y))) * z.
(x * y) / T((x \ 1) \ y,x \ (1 / (z \ (z / x)))) = ((x * (y / (x * y))) * (x * y)) \ (x * y).
((x * (y / (x * y))) * (x * y)) \ (x * y) = (x * y) / T((x \ 1) \ y,x \ (1 / (z \ (z / x)))).
L(x,y,R(((z / ((1 / u) * z)) \ 1) \ 1,w,(z \ ((1 / u) \ z)) \ 1)) = L(x,y,R(u,u \ 1,z)).
K(x,y) * (z * R(z \ K(y,x),u,a(w,v5,v6))) = (R(z,u,a(w,v5,v6)) * w) \ (z * w).
(R(x,y,a(z,u,w)) * z) \ (x * z) = K(v5,v6) * (x * R(x \ K(v6,v5),y,a(z,u,w))).
(R(x,y,a(z,u,w)) * z) \ (x * z) = R(x,y,a(z,u,w)) \ x.
R(x,y,a(z,u,w)) \ x = (z * R(x,y,a(z,u,w))) \ (z * x).
(x * R(y,z,a(x,u,w))) \ (x * y) = R(y,z,a(x,u,w)) \ y.
R(x * y,z,a(y,u,w)) \ (x * y) = R(x,z,a(y,u,w)) \ x.
R(x * y,z,a(x,u,w)) \ (x * y) = R(y,z,a(x,u,w)) \ y.
L(x * y,z,a(y,u,w)) \ (x * y) = R(x,z,a(y,u,w)) \ x.
L(x * y,z,a(x,u,w)) \ (x * y) = R(y,z,a(x,u,w)) \ y.
L(x * y,z,a(y,u,w)) \ (x * y) = L(x,z,a(y,u,w)) \ x.
L(x * y,z,a(x,u,w)) \ (x * y) = L(y,z,a(x,u,w)) \ y.
(L(x,y,a(z,u,w)) \ x) \ 1 = (x * z) \ L(x * z,y,a(z,u,w)).
(x * y) \ L(x * y,z,a(y,u,w)) = (L(x,z,a(y,u,w)) \ x) \ 1.
L(x / y,z,a(y,u,w)) \ (x / y) = L(x,z,a(y,u,w)) \ x.
L(x,y,a(z,u,w)) \ x = z \ (x * R(x \ z,y,a(z,u,w))).
x \ (y * R(y \ x,z,a(x,u,w))) = L(y,z,a(x,u,w)) \ y.
x \ (y * L(y \ x,z,a(x,u,w))) = L(y,z,a(x,u,w)) \ y.
(L(x,y,a(z,u,w)) \ x) * z = x * L(x \ z,y,a(z,u,w)).
(x * y) \ L(x * y,z,a(y,u,w)) = x \ L(x,z,a(y,u,w)).
(x \ y) \ L(x \ y,z,a(x,u,w)) = y \ L(y,z,a(x,u,w)).
(x \ y) * (y \ L(y,z,a(x,u,w))) = L(x \ y,z,a(x,u,w)).
((x * (y / (x * y))) * (x * y)) \ (x * y) = (x * y) / T((x \ 1) \ y,x \ ((z \ (z / x)) \ 1)).
L(x,y,R(z / ((u \ 1) * z),w,(z \ ((1 / u) \ z)) \ 1)) = L(x,y,R(u,u \ 1,z)).
L(x,y,L(z / ((u \ 1) * z),w,(z \ ((1 / u) \ z)) \ 1)) = L(x,y,R(u,u \ 1,z)).
L(x,y,L(z / ((u \ 1) * z),w,(z \ ((u \ 1) \ z)) \ 1)) = L(x,y,R(u,u \ 1,z)).
L(x,y,R(z,z \ 1,u)) = L(x,y,L(((z \ 1) * u) \ u,w,(u \ ((z \ 1) \ u)) \ 1)).
L(x,y,L(((z \ 1) * u) \ u,w,(u \ ((z \ 1) \ u)) \ 1)) = L(x,y,R(z,z \ 1,u)).
((x * (y / (x * y))) * (x * y)) \ (x * y) = (x * y) / ((x \ 1) \ y).
R((x * L(y,z,y)) * u,z,y) / (y * (R(T(x,y),z,y) * R(u,z,y))) = a(y,R(x,z,y),R(u,z,y)).
(x * (y * T(z,y))) \ ((x * y) * T(z,y)) = (x * (T(z,x * y) * y)) \ (T(z,y) * (x * y)).
(x * (T(y,x * z) * z)) \ (T(y,z) * (x * z)) = (x * (z * T(y,z))) \ ((x * z) * T(y,z)).
(x * (T(y,x * z) * z)) \ (T(y,z) * (x * z)) = (x * (y * z)) \ ((x * z) * T(y,z)).
a(x,y,z) = (x * (T(z,x * y) * y)) \ (T(z,y) * (x * y)).
((L(x,y,z) \ 1) * (x \ L(x,y,z))) / L(x,y,z) = (1 / x) * (1 / L(x,y,z)).
a(x,L(y * K(z * y,T(u,w)),z,u) * v5,v6) = a(x,((u * z) \ ((z * y) * T(u,w))) * v5,v6).
a(x,L(y,z,u) * (K(z * y,T(u,w)) * v5),v6) = a(x,((u * z) \ ((z * y) * T(u,w))) * v5,v6).
a(x,((y * z) \ ((z * u) * T(y,w))) * v5,v6) = a(x,v5 * L(u,z,y),v6).
a(x,((y * z) \ ((z * u) * y)) * w,v5) = a(x,w * L(u,z,y),v5).
a(x,y * L(z,u,w),v5) = a(x,y * R(z,u,w),v5).
a(x,y * L(K(z,u) * w,v5,v6),v7) = a(x,R(w,v5,v6) * y,v7).
a(x,(R(y,z,u) / (R(y,z,u) * w)) * L(y,z,u),v5) = a(x,R(y,z,u) / R(w,R(y,z,u),w),v5).
a(x,R(y,z,u) / R(w,R(y,z,u),w),v5) = a(x,(R(y,z,u) / (R(y,z,u) * w)) * L(y,z,u),v5).
a(x,R(y,z,u) * w,v5) = a(x,L(y,z,u) * w,v5).
a(x,L(y,z,u) * w,v5) = a(x,R(y,z,u) * w,v5).
a(x,(y * ((1 / y) * z)) * u,w) = a(x,L(z,y,y \ 1) * u,w).
a(x,L(y,z,z \ 1) * z,u) = a(x,(z * z) * (z \ y),u).
a(x,(y * y) * (y \ z),u) = a(x,y \ ((y * y) * z),u).
a(x,y \ ((y * y) * z),u) = a(x,(y * y) * (y \ z),u).
a(x,(y * y) * (y \ z),u) = a(x,y \ (z * (y * y)),u).
a(x,y \ (z * (y * y)),u) = a(x,(y * y) * (y \ z),u).
a(x,L(y * z,y,z),u) = a(x,(y * y) * (y \ z),u).
a(x,L(y,z,z \ y),u) = a(x,(z * z) * (z \ (z \ y)),u).
a(x,(y * y) * (y \ (y \ z)),u) = a(x,L(z,y,y \ 1),u).
a(x,L(y,z,z \ y),u) = a(x,L(y,z,z \ 1),u).
a(x,L(y,z,z \ 1),u) = a(x,L(y,z,z \ y),u).
a(x,L(y \ 1,z,z \ 1),u) = a(x,z * ((y * z) \ 1),u).
a(x,y * a(z,z,y),u) = a(x,L(y,z,z \ y),u).
a(x,L(y,z,z \ y),u) = a(x,y * a(z,z,y),u).
a(x,a(y,y,z) * z,u) = a(x,L(z,y,y \ z),u).
a(x,L(y,z,z \ y),u) = a(x,a(z,z,y) * y,u).
a(L(x,y,y \ x),x,z) = a(x,a(y,y,x) * x,z).
a(x,y * (((y \ z) * y) \ 1),u) = a(x,(z * (y \ 1)) \ 1,u).
a(x,(y * (z \ 1)) \ 1,u) = a(x,(y \ 1) * z,u).
a(x,(y \ 1) * z,u) = a(x,((z \ 1) * y) \ 1,u).
a(x,((y \ 1) * z) \ 1,u) = a(x,(z \ 1) * y,u).
a(x,((L(1 / y,y,z \ 1) \ 1) * z) \ 1,u) = a(x,(z \ 1) / y,u).
a(x,(L(y,y \ 1,(z \ 1) \ 1) * z) \ 1,u) = a(x,(z \ 1) / y,u).
a(x,(L(y,y \ 1,z) * z) \ 1,u) = a(x,(z \ 1) / y,u).
a(x,(y / (T(z,y) \ 1)) \ 1,u) = a(x,(y \ 1) / z,u).
a(x,(y \ 1) / z,u) = a(x,((T(z,y) \ 1) \ y) \ 1,u).
a(x,((T(y,z) \ 1) \ z) \ 1,u) = a(x,(z \ 1) / y,u).
a(x,(y \ 1) / z,u) = a(x,((z \ 1) \ y) \ 1,u).
a(x,((y \ 1) \ z) \ 1,u) = a(x,(z \ 1) / y,u).
a(x,((y \ 1) \ z) \ 1,u) = a(x,y \ (z \ 1),u).
a(x,(y \ 1) \ (z \ 1),u) = a(x,(y \ z) \ 1,u).
a(x,(y \ (z \ 1)) \ 1,u) = a(x,(y \ 1) \ z,u).
a(x,(y * (z \ 1)) \ y,u) = a(x,(((y \ 1) * z) \ 1) \ y,u).
a(x,(((y \ 1) * z) \ 1) \ y,u) = a(x,(y * (z \ 1)) \ y,u).
a(x,(((y \ 1) * z) \ 1) \ y,u) = a(x,y \ ((z \ 1) \ y),u).
x \ T(x * R(1 / (y \ 1),y,x),R(y \ 1,y,x)) = 1 / T(R(y \ 1,y,x),T(y,y \ 1) * x).
((R(x / (y * x),z,u) \ 1) \ 1) \ (R(y,z,u) \ 1) = a(R(y,z,u),R(y,z,u),R(x,z,u)).
a(R(x,y,z),R(x,y,z),R(u,y,z)) = ((R(u / (x * u),y,z) \ 1) \ 1) \ (R(x,y,z) \ 1).
a(R(x,y,z),R(x,y,z),R(u,y,z)) = R(((u / (x * u)) \ 1) \ 1,y,z) \ (R(x,y,z) \ 1).
a(R(x,y,z),R(x,y,z),R(u,y,z)) = R(((u / (x * u)) \ 1) \ 1,y,z) \ R(x \ 1,y,z).
a(R(x,y,z),R(x,y,z),R(u,y,z)) = R((((u / (x * u)) \ 1) \ 1) \ (x \ 1),y,z).
R((((x / (y * x)) \ 1) \ 1) \ (y \ 1),z,u) = a(R(y,z,u),R(y,z,u),R(x,z,u)).
R(a(x,x,y),z,u) = a(R(x,z,u),R(x,z,u),R(y,z,u)).
a(R(x,y,z),R(x,y,z),R(u,y,z)) = R(a(x,x,u),y,z).
a(x,x,L(y,z,u)) = a(R(x,z,u),R(x,z,u),R(y,z,u)).
a(R(x,y,z),R(x,y,z),R(u,y,z)) = a(x,x,L(u,y,z)).
a(R(x,y,z),R(x,y,z),L(u,y,z)) = a(x,x,L(u,y,z)).
a(R(x,y,z),L(x,y,z),L(u,y,z)) = a(x,x,L(u,y,z)).
a(L(x,y,z),L(x,y,z),L(u,y,z)) = a(x,x,L(u,y,z)).
a(x,y,L(z,u,u) \ ((w * v5) * a(w,R(z,u,u) \ v5,L(z,u,u)))) = a(x,y,w * (v5 / R(z,u,u))).
L(L(x,x,y) \ 1,L(x,x,y),L(x,x,y) * (R(y,x,x) / x)) = T(y \ (R(y,x,x) / x),x).
L(L(x,x,y) \ 1,L(x,x,y),x * (y / x)) = T(y \ (R(y,x,x) / x),x).
T(x \ (R(x,y,y) / y),y) = L(L(y,y,x) \ 1,L(y,y,x),x).
L(L(x,x,y) \ 1,L(x,x,y),y) = T(y \ (R(y,x,x) / x),x).
T(x \ (R(x,y,y) / y),y) = ((x * (y * y)) / y) \ (x * 1).
T(x \ (R(x,y,y) / y),y) = ((x * (y * y)) / y) \ x.
T(x \ (R(x,y,y) / y),y) = (x * y) \ R(x,y,y).
a(L(T(x * K(y,x),z),x * K(y,x),y * x),u,w) = a(((y * x) \ (y * K(z,x))) \ 1,u,w).
a(L(T(x * K(y,x),z),x,y * x),u,w) = a(((y * x) \ (y * K(z,x))) \ 1,u,w).
a(((x * y) \ (x * K(z,y))) \ 1,u,w) = a(L(y * K(x,y),y,x * y),u,w).
a(L(x * K(y,x),x,y * x),z,u) = a(((y * x) \ (y * K(w,x))) \ 1,z,u).
a(((x * y) \ (x * K(z,y))) \ 1,u,w) = a(L(y,y,x * y),u,w).
a(L(x,x,y * x),z,u) = a(((y * x) \ (y * K(w,x))) \ 1,z,u).
a(L(x,x,y * x),z,u) = a(L(T(x,w) \ 1,x,y) \ 1,z,u).
a(L(x,x,y * x),z,u) = a(L(x \ 1,x,y) \ 1,z,u).
a(L(x,x \ 1,y \ 1),z,u) = a(L(x,x,y * x),z,u).
a(L(x,x \ 1,y \ 1),z,u) = a(L(x,x,y),z,u).
a(L(x,x \ 1,y),z,u) = a(L(x,x,y \ 1),z,u).
a(x,x,L(y,z,u)) * R(a(x,x,L(y,w,v5)) \ 1,z,u) = R(L(a(x,x,y),w,v5) \ a(x,x,y),z,u).
L(x * y,x * (y / (x * y)),x \ (1 / (y / (x * y)))) / ((x \ 1) \ y) = 1 / (x * (y / (x * y))).
((x * y) \ x) * (((x * y) \ x) * T(y,y \ 1)) = L((x * y) \ x,((x * y) \ x) \ 1,x).
L((x * y) \ x,((x * y) \ x) \ 1,x) = ((x * y) \ x) * (((x * y) \ x) * T(y,y \ 1)).
L((x * y) \ x,((x * y) \ x) \ 1,x) = ((x * y) \ x) * (y * ((x * y) \ x)).
((x * y) \ x) * (y * ((x * y) \ x)) = L((x * y) \ x,y,x).
((x * y) \ x) * a(x \ 1,y,y \ 1) = L((x * y) \ x,y,x).
T(L((x * y) \ x,y,x),y) = ((x * y) \ x) * (((x * y) \ x) * y).
((x * y) \ x) * (((x * y) \ x) * y) = T(L((x * y) \ x,y,x),y).
L(T((x * y) \ x,y),y,x) = ((x * y) \ x) * (((x * y) \ x) * y).
((x * y) \ x) * (((x * y) \ x) * y) = L(T((x * y) \ x,y),y,x).
L(L(x,y,y) \ 1,L(x,y,y),R(y,y,x)) = L(1 / L(x,y,y),L(x,y,y),x / (1 / y)).
L(1 / L(x,y,y),L(x,y,y),x / (1 / y)) = (y * x) \ R(y,y,x).
(x * y) \ R(x,x,y) = L(1 / L(y,x,x),L(y,x,x),(1 / x) \ y).
L(1 / L(x,y,y),L(x,y,y),(1 / y) \ x) = (y * x) \ R(y,y,x).
(x * y) \ R(x,x,y) = L(1 / L(y,x,x),L(y,x,x),(x \ 1) \ y).
L(1 / L(x,y,y),L(x,y,y),(y \ 1) \ x) = (y * x) \ R(y,y,x).
(x * y) \ R(x,x,y) = ((1 / x) \ y) \ x.
(x * y) \ ((y / (x * y)) \ 1) = ((1 / x) \ y) \ x.
(x * y) \ (K(x,y) * R(y,y,x)) = ((1 / y) \ x) \ y.
(x * y) \ R(K(x,y) * y,y,x) = ((1 / y) \ x) \ y.
(x * y) \ R(y * K(x,y),y,x) = ((1 / y) \ x) \ y.
(x * y) \ ((x / (x * y)) \ 1) = ((1 / y) \ x) \ y.
x * (((1 / y) \ x) \ y) = a((x * y) \ x,x * y,x \ 1).
a((x * y) \ x,x * y,x \ 1) = x * (((1 / y) \ x) \ y).
a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1) = (x \ 1) * (((1 / (y \ 1)) \ (x \ 1)) \ (y \ 1)).
(R(1 / x,x,y) * x) \ T(y * x,y) = ((R(y,x,y) / T(y * x,y)) \ 1) * R(y,x,y).
(x * R(x \ 1,x,y)) \ T(y * x,y) = ((R(y,x,y) / T(y * x,y)) \ 1) * R(y,x,y).
(R(x,x,y) \ x) \ T(y * x,y) = ((R(y,x,y) / T(y * x,y)) \ 1) * R(y,x,y).
(R(x,x,y) \ x) \ T(y * x,y) = (R(1 / x,x,y) \ 1) * R(y,x,y).
(R(x,x,y) \ x) \ T(y * x,y) = R(x,x,y) * R(y,x,y).
L(x \ y,x,z / (x * z)) = a(x \ 1,x,z) \ ((z / (x * z)) * y).
a(x \ 1,x,y) \ ((y / (x * y)) * z) = L(x \ z,x,y / (x * y)).
a(x \ 1,x,y) \ ((y / (x * y)) * z) = L(x \ z,x,(x * y) \ y).
R((x * L(y,z,y)) * u,z,y) / (y * R(T(x,y) * u,z,y)) = a(y,R(x,z,y),R(u,z,y)).
R(((x * L(y,z,y)) * u) / (L(y,z,y) * (T(x,y) * u)),z,y) = a(y,R(x,z,y),R(u,z,y)).
R(a(x,y,z),u,x) = a(x,R(y,u,x),R(z,u,x)).
a(x,R(y,z,x),R(u,z,x)) = R(a(x,y,u),z,x).
a(x,R(y,x,x),R(z,x,x)) = a(x,y,z).
a(x,R(y,z,x),R(u,z,x)) = a(x,y,u).
a(x,R(y,x,x),L(z,x,x)) = a(x,y,z).
a(x,R(y,z,x),L(u,z,x)) = a(x,y,u).
a(x,L(y,x,x),L(z,x,x)) = a(x,y,z).
a(x,a(x,y,z),L(u,w,x)) = a(x,a(x,y,z),u).
x * a(x,y,y \ x) = R(x,L(y,x,x),L(y,x,x) \ x).
R(x,L(y,x,x),L(y,x,x) \ x) = x * a(x,y,y \ x).
a(x,a(x,y,z),L(u,x,a(x,w,v5))) = a(x,a(x,y,z),u).
R(x,L(y,x,x),L(y,x,x) \ x) = R(x,y,y \ x).
R(x,L(y,x,x),L(y \ x,x,x)) = R(x,y,y \ x).
R(x,L(x * y,x,x),L(L(y \ 1,y,x),x,x)) = R(x,x * y,(x * y) \ x).
R(x,x * y,(x * y) \ x) = R(x,L(x * y,x,x),((x \ 1) \ y) \ x).
R(x,L(x * y,x,x),((x \ 1) \ y) \ x) = R(x,x * y,(x * y) \ x).
R(x,x * y,(x * y) \ x) = R(x,(x \ 1) \ y,((x \ 1) \ y) \ x).
R(x,(x \ 1) \ y,((x \ 1) \ y) \ x) = R(x,x * y,(x * y) \ x).
R(x,(x \ 1) \ y,((x \ 1) \ y) \ x) = R(x,x * y,x \ (y \ x)).
x \ T(x * R(y,y,x),R(y \ 1,y,x)) = 1 / T(R(y \ 1,y,x),T(y,y \ 1) * x).
x \ T(x * R(y,y,x),y \ 1) = 1 / T(R(y \ 1,y,x),T(y,y \ 1) * x).
x \ T(x * R(y,y,x),y \ 1) = 1 / T(R(y \ 1,y,x),y * x).
x \ T(x * R(y,y,x),y \ 1) = 1 / T((y * x) \ x,y).
x \ T(x * R(y,y,x),y \ 1) = ((y * x) \ x) \ 1.
a(x,y,L(z,u,u) \ ((w * v5) * a(w,L(z,u,u) \ v5,L(z,u,u)))) = a(x,y,w * (v5 / R(z,u,u))).
a(x,x,L(y,z,u)) * a(x \ 1,x,L(L(y,w,v5),z,u)) = R(L(a(x,x,y),w,v5) \ a(x,x,y),z,u).
L(x * y,x * (y / (x * y)),x \ ((y / (x * y)) \ 1)) / ((x \ 1) \ y) = 1 / (x * (y / (x * y))).
a(x,y,L(z,u,u) \ ((w * (v5 / L(z,u,u))) * L(z,u,u))) = a(x,y,w * (v5 / R(z,u,u))).
a(x,y,T(z * (u / L(w,v5,v5)),L(w,v5,v5))) = a(x,y,z * (u / R(w,v5,v5))).
a(x,y,z * (u / R(w,v5,v5))) = a(x,y,z * (u / L(w,v5,v5))).
a(x,y,z * (u / L(w,v5,v5))) = a(x,y,z * (u / R(w,v5,v5))).
a(x,y,z * (u / R(w,v5,v5))) = a(x,y,z * (L(w,v5,v5) \ u)).
a(x,y,z * (L(u,w,w) \ v5)) = a(x,y,z * (R(u,w,w) \ v5)).
L(x * y,x * (y / (x * y)),L(y,x,x) \ y) / ((x \ 1) \ y) = 1 / (x * (y / (x * y))).
(x * y) / ((x \ 1) \ y) = 1 / (x * (y / (x * y))).
(x * y) / ((x \ 1) \ y) = x \ (1 / (y / (x * y))).
((x * (y / (x * y))) * (x * y)) \ (x * y) = x \ (1 / (y / (x * y))).
((x \ 1) \ y) \ (x * y) = x \ (1 / (y / (x * y))).
R(x,y,z \ ((u / (w \ 1)) \ (w * u))) = R(x,y,z \ (w \ (1 / (u / (w * u))))).
((x / (y * x)) * y) * K((x / (y * x)) \ 1,x / (y * x)) = (1 / (1 / ((x / (y * x)) \ 1))) \ y.
((x / (y * x)) * y) * K((x / (y * x)) \ 1,y \ 1) = (1 / (1 / ((x / (y * x)) \ 1))) \ y.
((x / (y * x)) * y) * K((y * x) / x,y \ 1) = (1 / (1 / ((x / (y * x)) \ 1))) \ y.
((x / (y * x)) * y) * K(y,y \ 1) = (1 / (1 / ((x / (y * x)) \ 1))) \ y.
(1 / (1 / ((x / (y * x)) \ 1))) \ y = ((x / (y * x)) * y) * K(y,y \ 1).
(1 / (1 / ((x / (y * x)) \ 1))) \ y = (x / (y * x)) * T(y,y \ 1).
(1 / (1 / ((x / (y * x)) \ 1))) \ y = y * (x / (y * x)).
(1 / (x / (y * x))) \ y = y * (x / (y * x)).
((x * y) / x) * (x / (x * y)) = y * (x / (y * x)).
a((T(x \ y,x / y) \ 1) \ y,z,u) = a((((x \ y) \ 1) \ x) * (((x \ y) \ 1) \ 1),z,u).
a((((x \ y) \ 1) \ x) * (((x \ y) \ 1) \ 1),z,u) = a(((x \ y) \ 1) \ y,z,u).
(x \ (x * (y * (x \ z)))) \ T(x * (y * (x \ z)),x) = T(x * K(y * z,x),y * (x \ z)).
T(x,T((y / (T(z / u,u * w) \ z)) \ w,z * T(z \ u,u * w))) = T(x,y \ T(w * u,z / u)).
a(x,y,z) * L(a(x,y,z) \ u,a(x,y,z),w) = w * (a(x,y,z) * ((w * a(x,y,z)) \ u)).
1 / (1 / ((x * (y * y)) \ (x * y))) = L((x * (y * y)) \ (x * y),L(y,y,x),L(y \ 1,y * y,x)).
L((x * (y * y)) \ (x * y),L(y,y,x),L(y \ 1,y * y,x)) = 1 / (1 / ((x * (y * y)) \ (x * y))).
R(L(x,y,z) \ K(L(x,y,z),x \ 1),L(x,y,z),1 / x) = T((1 / x) / (x \ L(x,y,z)),L(x,y,z)).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = R((1 / (1 / y)) \ K(y,x),1 / (1 / y),x).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = R((1 / y) * K(y,x),1 / (1 / y),x).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = R(K(y,x) / y,1 / (1 / y),x).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = R(K(y,x) / y,(1 / y) \ 1,x).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = R(K(y,x) / y,y,x).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = x / (y * T(x,y)).
T(x / (x / L(1 / y,y,x)),1 / (1 / y)) = x / (x * y).
T(x / (x * (1 / (1 / y))),1 / (1 / y)) = x / (x * y).
x / (x * y) = T(x / (x * (1 / (1 / y))),T(y,1)).
T(x / (x * (1 / (1 / y))),T(y,1)) = x / (x * y).
T(x / (x * (1 / (1 / y))),y) = x / (x * y).
T(x / (x / (x \ y)),y \ x) = x / (x * (y \ x)).
T((x * y) / ((x * y) / ((x * y) \ (L(x,z,u) * y))),L(L(x,z,u) \ x,L(x,z,u),y)) = (x * y) / ((x * y) * ((L(x,z,u) * y) \ (x * y))).
R((x / y) \ z,u \ ((x / y) \ z),u) \ ((x / y) \ z) = a(((y \ x) \ z) \ 1,u \ ((y \ x) \ z),u).
(x \ (x * (y / (z \ x)))) \ T(x * (y / (z \ x)),x) = T(x * K(y * z,x),y / (z \ x)).
(x \ (x * (y / (z \ x)))) \ T(x * (y / (z \ x)),x) = T(x * K(y * z,x),y * (x \ z)).
(x / (y \ z)) \ T(z * (x / (y \ z)),z) = T(z * K(x * y,z),x * (z \ y)).
T(x * K(y * z,x),y * (x \ z)) = R(x,y / (z \ x),x).
T(x * K(y * z,x),y * (x \ z)) = R(x,(z \ x) \ y,x).
((a(x,y,z) * x) * u) / L(x * u,a(x,y,z),a(x,a(x,y,z),u)) = a(x,a(x,y,z),u) * a(x,y,z).
R(x * y,x \ K(y,x),x) \ (x * y) = (x \ K(y,x)) * (R(y,x,x \ 1) \ (x * y)).
(x \ K(y,x)) * (R(y,x,x \ 1) \ (x * y)) = R(x * y,x \ K(y,x),x) \ (x * y).
(x \ K(y,x)) * (R(y,x,x \ 1) \ (x * y)) = R(x * y,x \ 1,x) \ (x * y).
(x \ K(y,x)) * (R(y,x,x \ 1) \ (x * y)) = R(x * y,x,x \ 1) \ (x * y).
(x \ K(y,x)) * (R(y,x,x \ 1) \ (x * y)) = x * (((x * y) * x) \ (x * y)).
(x \ K(y,x)) * (R(y,x,x \ 1) \ (x * y)) = L(x \ 1,x,y) * x.
(x \ K(y,x)) * L(T(x,y),x \ 1,y) = L(x \ 1,x,y) * x.
L(x \ 1,x,y) * x = (x \ 1) * L(x,x \ 1,y).
(x \ 1) * L(x,x \ 1,y) = L(x \ 1,x,y) * x.
T(x,T((y / (T(z / u,u * w) \ z)) \ w,z * T(u / z,w))) = T(x,y \ T(w * u,z / u)).
T(x,y \ T(z * u,w / u)) = T(x,T((y / (T(w / u,u * z) \ w)) \ z,(u / w) * w)).
T(x,T((y / (T(z / u,u * w) \ z)) \ w,(u / z) * z)) = T(x,y \ T(w * u,z / u)).
T(x,T((y / (T(z / u,u * w) \ z)) \ w,u)) = T(x,y \ T(w * u,z / u)).
T(x,y \ T(z * u,w / u)) = T(x,T(T(w / u,u * z) \ (w / (z \ y)),u)).
T(x,T(T(y / z,z * u) \ (y / (u \ w)),z)) = T(x,w \ T(u * z,y / z)).
T(x,y \ T(z * u,w / u)) = T(x,T(w / u,z) \ T(w / (z \ y),u)).
T(x,T(y / z,u) \ T(y / (u \ w),z)) = T(x,w \ T(u * z,y / z)).
T(x,y \ T(z * u,w / u)) = T(x,T(T(u \ w,z) \ (w / (z \ y)),u)).
T(x,T(T(y \ z,u) \ (z / (u \ w)),y)) = T(x,w \ T(u * y,z / y)).
T(x,y \ T(z * u,w / u)) = T(x,(z \ y) \ (w * T(u / w,z))).
T(x,(y \ z) \ (u * T(w / u,y))) = T(x,z \ T(y * w,u / w)).
T(x,y \ T(z * u,w / u)) = T(x,y \ (z * (w * T(u / w,z)))).
T(x,y \ (z * (u * T(w / u,z)))) = T(x,y \ T(z * w,u * w)).
T(x,y \ T(z * u,w * u)) = T(x,y \ (z * (w * T(u / w,z)))).
T(x,y \ (z * (u * T(w / u,z)))) = T(x,y \ T(w * z,u)).
T(x,y \ (((z * u) * w) / L(z,u,w))) = T(x,y \ T(u * w,z)).
T(x,(((y * z) * u) / w) \ T(z * u,y)) = T(x,w / L(y,z,u)).
T(x,y / L(z,u,w)) = T(x,y / R(z,u,w)).
T(x,y / L(z,u,w)) = T(x,y / z).
T(x,T(y,z) / L(z,u,w)) = T(x,R(z,u,w) \ y).
T(x,(y * z) / L(z,u,w)) = T(x,y).
T(x,y) = T(x,y / (L(z,u,w) / z)).
T(x,y / (L(z,u,w) / z)) = T(x,y).
T(x,y / (z \ L(z,u,w))) = T(x,y).
T(x,y) = T(x,y * (z \ L(z,u,w))).
T(x,y * (z \ L(z,u,w))) = T(x,y).
T((x \ L(x,y,z)) \ u,u) = (x \ L(x,y,z)) \ u.
T(x,y * z) = T(x,y * L(z,u,w)).
T(x,y * L(z,u,w)) = T(x,y * z).
T(x,y) = T(x,z * L(z \ y,u,w)).
T(x,y * L(y \ z,u,w)) = T(x,z).
T(x,a(y,z,u) * w) = T(x,w * (v5 \ L(v5,v6,v7))).
K(x * L(y,z,u),w) = T(w,x * y) \ w.
T(x,L(y,z,u) * w) = T(x,y * w).
T(x,R(y,z,u) * w) = T(x,L(y,v5,v6) * w).
K(x * y,z) = K(x * L(y,u,w),z).
K(x * L(y,z,u),w) = K(x * y,w).
K(x * L(x \ y,z,u),w) = K(y,w).
T(L(x,y,z) * K(u * x,w),u) = u \ T(L(x,y,z) * u,w).
K(L(x,y,z) * u,w) = K(x * u,w).
K(x,y) = K(z * (L(z,u,w) \ x),y).
K(x * (L(x,y,z) \ u),w) = K(u,w).
K(L(x,y,z) * y,u) = K(L(x,w,v5) * y,u).
K(L(x,y,z) * u,w) = K(L(x,u,v5) * u,w).
K(L(x,y,z) \ u,w) = K(x \ u,w).
K(a(x,y,z) * u,w) = K(v5 * (L(v5,v6,v7) \ u),w).
K(x / L(y,z,u),w) = K(x / y,w).
K(R(x,y,z) \ u,w) = K(L(x,v5,v6) \ u,w).
x / (x / L(y,z,u)) = L(y,z,u) * K(y \ x,y).
K(x \ L(L(x,y,z),u,w),v5) = 1.
T(x \ L(L(x,y,z),u,w),v5) = x \ L(L(x,y,z),u,w).
K(x / L(y,z,u),y) = K(y \ x,y).
K((x * y) / z,T(u,x)) = K(y / (x \ L(z,w,v5)),u).
T(x,L(y \ (y / z),u,w) * v5) = T(x,R(z,v6,v7) \ v5).
T(x,R(y,z,u) \ w) = T(x,L(v5 \ (v5 / y),v6,v7) * w).
K(R(x,y,z) \ u,w) = K(L(x \ 1,v5,v6) * u,w).
T(x,R(y,z,u) \ w) = T(x,L(y,z,u) \ w).
T(x,L(y,z,u) \ w) = T(x,R(y,z,u) \ w).
T(x,L(y,z,u) \ w) = T(x,y \ w).
T(x,L(y,z,u) \ (w / (v5 \ 1))) = T(x,(R(y,z,u) \ w) * v5).
x / L(T(y,y \ x),z,u) = L(y,z,u) \ x.
(L(x,y,z) \ u) \ u = L(T(x,x \ u),y,z).
L(T(x,x \ y),z,u) = (L(x,z,u) \ y) \ y.
x / L((y \ x) \ x,z,u) = L(y,z,u) \ x.
L(x,y,z) / L(T(u,u \ x),w,v5) = L(u,w,v5) \ L(x,y,z).
L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y.
x / L(y \ x,z,u) = L(x / y,z,u) \ x.
L((((x * y) \ x) \ z) \ z,y,y) = (T((x * y) \ x,y) \ z) \ z.
L(x,(R(y,y,z) \ y) * u,w) = L(x,(z \ L((z \ v5) \ v5,y,y)) * u,w).
a(x,y,(L((T(z,u) \ w) \ w,v5,v5) \ z) * v6) = a(x,y,v6 * (K(u,z) * a(v5,v5,z))).
x / (L(y \ T(x,z),u,w) * K(z,x)) = L(T(x,z) / y,u,w) \ T(x,z).
x * T((y \ L(y,z,u)) \ K(x / (y \ L(y,z,u)),w),K(x / (y \ L(y,z,u)),w)) = T(x * ((y \ L(y,z,u)) \ 1),w).
x * (T(y / (z \ L(z,u,w)),x * (z \ L(z,u,w))) \ y) = T(x * (z \ L(z,u,w)),T((z \ L(z,u,w)) \ y,y)).
(x / y) * K(a(z,u,w) * v5,y) = x / T(y,v5 * (v6 \ L(v6,v7,v8))).
x / T(y,z * (u \ L(u,w,v5))) = (x / y) * K(a(v6,v7,v8) * z,y).
(1 / x) / (K(a(y,z,u) * w,v5) / x) = K(v5,v6 * (L(v6,v7,v8) \ w)).
K(x,y * (L(y,z,u) \ w)) = (1 / v5) / (K(a(v6,v7,v8) * w,x) / v5).
x / (x * (y \ 1)) = L(y,y \ 1,y \ x) * K(y \ x,y).
L(x,x \ 1,x \ y) * K(x \ y,x) = y / (y * (x \ 1)).
K(L(x \ 1,y,z) * u,w) = K(L(x,v5,v6) \ u,w).
K(L(x,y,z) \ u,w) = K(L(x \ 1,v5,v6) * u,w).
K(L(x,y,z) \ T(u,x),w) = K(u * L(x \ 1,v5,v6),w).
K(x / (y \ L(z,u,w)),v5) = K(y / (z / x),T(v5,y)).
K(x / (y \ L(z,u,w)),v5) = K((z / x) \ y,v5).
K(x / (y \ L(y,z,u)),w) = K(x,w).
x \ L(L(x,y,z),u,w) = ((x \ L(L(x,y,z),u,w)) \ v5) \ v5.
((x \ L(L(x,y,z),u,w)) \ v5) \ v5 = x \ L(L(x,y,z),u,w).
T(x,L(y,z,u) \ w) = T(x,L(v5 \ (v5 / y),v6,v7) * w).
K(x * L(y \ 1,z,u),w) = K(x / L(y,v5,v6),w).
K(x / L(y,z,u),w) = K(x * L(y \ 1,v5,v6),w).
((L(1 / x,y,z) \ 1) \ u) * (L(1 / x,y,z) \ 1) = u * K(u / L(x,w,v5),x).
T(x,L(y \ z,u,w) \ v5) = T(x,L(z \ y,v6,v7) * v5).
x / (x * (y \ 1)) = ((y \ x) * (1 / y)) \ T(y \ x,y).
((x \ y) * (1 / x)) \ T(x \ y,x) = y / (y * (x \ 1)).
x / (x * (y \ 1)) = ((y \ x) / (y \ 1)) / (y \ x).
((x \ y) / (x \ 1)) / (x \ y) = y / (y * (x \ 1)).
T(L(x * K(y * x,z),u,w),y) = y \ T(L(x,u,w) * y,z).
T(x,(R(y,z,u) \ w) * v5) = T(x,(L(y,z,u) \ w) * v5).
T(x,(L(y,z,u) \ w) * v5) = T(x,(R(y,z,u) \ w) * v5).
x * T(y,(L(z,u,w) \ z) * x) = y * x.
T(x,y) = T(x,(L(z,u,w) \ z) * y).
T(x,(L(y,z,u) \ y) * w) = T(x,w).
(L(x,y,z) \ x) * (x * u) = x * ((L(x,y,z) \ x) * u).
(x * y) / T(x * (z \ L(z,u,w)),y) = ((z \ L(z,u,w)) * x) \ (x * y).
(L(x,y,z) \ x) * u = x * ((L(x,y,z) \ x) * (x \ u)).
x * ((L(x,y,z) \ x) * (x \ u)) = (L(x,y,z) \ x) * u.
a(L(x,y,z) \ x,x,u) = (x * ((L(x,y,z) \ x) * u)) \ (((L(x,y,z) \ x) * x) * u).
(x * ((L(x,y,z) \ x) * u)) \ (((L(x,y,z) \ x) * x) * u) = a(L(x,y,z) \ x,x,u).
L(x,y,L(y,z,u) \ y) = ((L(y,z,u) \ y) * y) \ (y * ((L(y,z,u) \ y) * x)).
((L(x,y,z) \ x) * x) \ (x * ((L(x,y,z) \ x) * u)) = L(u,x,L(x,y,z) \ x).
R(L(x,y,z) \ x,u,L(x,u,L(x,y,z) \ x)) = (x * ((L(x,y,z) \ x) * u)) / (x * u).
x \ ((L(x,y,z) \ x) * u) = (L(x,y,z) \ x) * (x \ u).
x * (L(x,y,z) \ L(x,u,w)) = (L(x,y,z) \ x) * L(x,u,w).
(L(x,y,z) \ x) * L(x,u,w) = x * (L(x,y,z) \ L(x,u,w)).
L(x,y,z) / L(L(x,u,w),v5,v6) = L(L(x,u,w),v5,v6) \ L(x,y,z).
L(T(x * K(y * x,z),y),u,w) = y \ T(L(x,u,w) * y,z).
x * (L(x,y,z) \ L(x,u,w)) != v5 * L(x,u,w) | L(x,y,z) \ x = v5.
x * L(y,z,u) != y * (L(y,w,v5) \ L(y,z,u)) | L(y,w,v5) \ y = x.
a(x,x,y) * L(y,z,u) = y * (L(y,x,x) \ L(y,z,u)).
x * (L(x,y,y) \ L(x,z,u)) = a(y,y,x) * L(x,z,u).
L(x \ T(y * x,z),u,w) = x \ T(L(y,u,w) * x,z).
a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)) = a(x,y,L(z,T(u * z,w),T(u * z,w)) \ T(u * z,w)).
a(x,y,L(z,T(u * z,w),T(u * z,w)) \ T(u * z,w)) = a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)).
a(x \ T(L(y,T(y * x,z),T(y * x,z)) * x,z),u,w) = a(L(x \ T(y * x,z),T(y * x,z),x),u,w).
L((((x * y) \ x) \ z) \ z,y,y) = T((((x * y) \ x) \ z) \ z,y).
K(x * (y \ L(y,z,u)),w) = K(a(v5,v6,v7) * x,w).
K(a(x,y,z) * u,w) = K(u * (v5 \ L(v5,v6,v7)),w).
K(a(x,y,z) * u,w) = K((v5 \ L(v5,v6,v7)) * u,w).
K(x,y * (L(y,z,u) \ w)) = K(x,a(v5,v6,v7) * w).
K(x,a(y,z,u) * w) = K(x,v5 * (L(v5,v6,v7) \ w)).
K(x,(L(y,z,u) \ y) * w) = K(x,a(v5,v6,v7) * w).
K(x,a(y,z,u) * w) = K(x,(L(v5,v6,v7) \ v5) * w).
T((x \ L(x,y,z)) \ u,w) \ u = L(x,y,z) * (x \ K(w,a(v5,v6,v7) * u)).
x / L((y \ T(x,z)) * K(z,x),u,w) = L(T(x,z) / y,u,w) \ T(x,z).
x / L(y \ x,z,u) = L(T(x,w) / y,z,u) \ T(x,w).
L(T(x,y) / z,u,w) \ T(x,y) = x / L(z \ x,u,w).
L(T(x,y) / z,u,w) \ T(x,y) = L(x / z,u,w) \ x.
L((x \ y) / z,u,w) \ T(y / x,x) = L((y / x) / z,u,w) \ (y / x).
L((x \ y) / z,u,w) \ (x \ y) = L((y / x) / z,u,w) \ (y / x).
L((x / y) / z,u,w) \ (x / y) = L((y \ x) / z,u,w) \ (y \ x).
T((x \ L(x,y,z)) \ u,w) \ u = L(x,y,z) * (x \ K(w,u)).
L(x,y,L(y,z,u) \ y) = L(K(y,L(y,z,u) \ y) * x,L(y,z,u) \ y,y).
L(K(x,L(x,y,z) \ x) * u,L(x,y,z) \ x,x) = L(u,x,L(x,y,z) \ x).
L(1 * x,L(y,z,u) \ y,y) = L(x,y,L(y,z,u) \ y).
L(x,L(y,z,u) \ y,y) = L(x,y,L(y,z,u) \ y).
((L(1 / x,y,z) \ 1) \ u) * (L(1 / x,y,z) \ 1) = u * K(x \ u,x).
((L(1 / x,y,z) \ 1) \ u) * (L(1 / x,y,z) \ 1) = (x \ u) * x.
L(1 / x,y,z) * ((x \ u) * x) = T(L(1 / x,y,z) * u,L(1 / x,y,z) \ 1).
T(L(1 / x,y,z) * u,L(1 / x,y,z) \ 1) = L(1 / x,y,z) * ((x \ u) * x).
L(1 / x,y,z) * ((x \ u) * x) = T(L(1 / x,y,z) * u,(1 / x) \ 1).
T(L(1 / x,y,z) * u,(1 / x) \ 1) = L(1 / x,y,z) * ((x \ u) * x).
T(L(1 / x,y,z) * u,x) = L(1 / x,y,z) * ((x \ u) * x).
L(1 / x,y,z) * ((x \ u) * x) = T(L(1 / x,y,z) * u,x).
a(x,y,(L(T((z \ u) \ u,w),v5,v5) \ z) * v6) = a(x,y,v6 * (K(w,z) * a(v5,v5,z))).
a(L(x,y,z) \ x,x,u) = a(x,L(x,y,z) \ x,u).
a(x,y,z * (K(u,w) * a(v5,v5,w))) = a(x,y,z * (L((w \ v6) \ v6,v5,v5) \ w)).
a(x,y,z * (L((u \ w) \ w,v5,v5) \ u)) = a(x,y,z * (K(v6,u) * a(v5,v5,u))).
a(x,y,z * (L((u \ w) \ w,v5,v5) \ u)) = a(x,y,a(v5,v5,u) * z).
R(L(x,y,z) \ x,u,L(x,u,L(x,y,z) \ x)) = L(L(x,y,z) \ x,u,x).
L(L(x,y,z) \ x,u,x) = L(x,y,z) \ x.
L(L(x,y,z) \ x,u,w) = L(L(L(x,y,z) \ x,u,w),v5,x).
L(L(L(x,y,z) \ x,u,w),v5,x) = L(L(x,y,z) \ x,u,w).
(x * y) * (L(x,z,u) \ x) = x * (y * (L(x,z,u) \ x)).
x * (L(y,z,u) \ y) != y * w | (y \ x) * (L(y,z,u) \ y) = w.
(x * y) * L(L(x,z,u) \ x,w,v5) = x * (y * L(L(x,z,u) \ x,w,v5)).
x / (L(y,z,u) \ y) = y * ((y \ x) / (L(y,z,u) \ y)).
x * ((x \ y) / (L(x,z,u) \ x)) = y / (L(x,z,u) \ x).
L(x,y,z) \ x = L(L(x,y,z) \ x,x,L(x,u,w) \ x).
L(L(x,y,z) \ x,x,L(x,u,w) \ x) = L(x,y,z) \ x.
R(x,y,L(x,z,u) \ x) = x.
R(R(1 / x,x * y,L(x,z,u) \ x),x,y) = (y * (L(x,z,u) \ x)) / (x * (y * (L(x,z,u) \ x))).
(x * (L(y,z,u) \ y)) / (y * (x * (L(y,z,u) \ y))) = R(R(1 / y,y * x,L(y,z,u) \ y),y,x).
R(x,y,z) = R(R(x,y,z),u,L(x,w,v5) \ x).
R(R(x,y,z),u,L(x,w,v5) \ x) = R(x,y,z).
R(1 / x,y,L(x,z,u) \ x) = 1 / x.
x * ((x \ y) / (L(x,z,u) \ x)) = (L(x,z,u) \ x) \ y.
x * ((L(x,y,z) \ x) \ (x \ u)) = (L(x,y,z) \ x) \ u.
L(x,y,z) * (x \ L(L(x,u,w) \ x,v5,v6)) = (x \ L(x,y,z)) * L(L(x,u,w) \ x,v5,v6).
(x \ L(x,y,z)) * L(L(x,u,w) \ x,v5,v6) = L(x,y,z) * (x \ L(L(x,u,w) \ x,v5,v6)).
R(x,y,L(L(x,z,u) \ x,w,v5)) = x.
R(x,y,(L(x,z,u) * w) \ (x * w)) = x.
L(x,y,z) \ (x * u) = u * ((L(x,y,z) * u) \ (x * u)).
x * ((L(y,z,u) * x) \ (y * x)) = L(y,z,u) \ (y * x).
R(x,y,a(z,u,x)) = x.
x * (y * a(z,u,x)) = (x * y) * a(z,u,x).
(x * y) * a(z,u,x) = x * (y * a(z,u,x)).
x \ a(y,z,x) = (x \ 1) * a(y,z,x).
(x \ 1) * a(y,z,x) = x \ a(y,z,x).
L(x,y,z) * (u * a(w,v5,x)) = (L(x,y,z) * u) * a(w,v5,x).
(L(x,y,z) * u) * a(w,v5,x) = L(x,y,z) * (u * a(w,v5,x)).
L(x,y,a(z,u,x)) = x.
x \ y = a(z,u,x) * (x \ (a(z,u,x) \ y)).
a(x,y,z) * (z \ (a(x,y,z) \ u)) = z \ u.
R(x * y,z,a(x,u,y)) = x * y.
L(R(x,y,z),u,a(w,v5,x)) = R(x,y,z).
L(x,y,z) = L(L(x,y,z),u,a(w,v5,x)).
L(L(x,y,z),u,a(w,v5,x)) = L(x,y,z).
(a(x,y,z) * u) * z = a(x,y,z) * (u * z).
a(x,y,z) / z = a(x,y,z) * (1 / z).
a(x,y,z) * (1 / z) = a(x,y,z) / z.
a(x,y,z) \ z = (a(x,y,z) \ 1) * z.
(a(x,y,z) \ 1) * z = a(x,y,z) \ z.
x * y = a(z,u,y) * ((a(z,u,y) \ x) * y).
a(x,y,z) * ((a(x,y,z) \ u) * z) = u * z.
x * y != a(z,u,y) * w | (a(z,u,y) \ x) * y = w.
a(x,y,z) * u != w * z | (a(x,y,z) \ w) * z = u.
a(x,y,z) * (a(u,w,a(x,y,z)) * v5) = a(u,w,a(x,y,z)) * (v5 * a(x,y,z)).
a(x,y,a(z,u,w)) * (v5 * a(z,u,w)) = a(z,u,w) * (a(x,y,a(z,u,w)) * v5).
(a(x,y,z) * u) * z = (u * z) * a(x,y,z).
L(x,y,a(z,x,L(x,u,w))) = x.
L(1 / x,y,a(z,u,x)) = 1 / x.
L(x \ 1,y,a(z,u,x)) = x \ 1.
x * L(y,z,a(u,w,x)) = L(x * y,z,a(u,w,x)).
L(x * y,z,a(u,w,x)) = x * L(y,z,a(u,w,x)).
L(x,y,a(z,u,w)) * w = L(x * w,y,a(z,u,w)).
L(x * y,z,a(u,w,y)) = L(x,z,a(u,w,y)) * y.
x \ L(y,z,a(u,w,x)) = L(x \ y,z,a(u,w,x)).
L(x \ y,z,a(u,w,x)) = x \ L(y,z,a(u,w,x)).
L(x,y,a(z,u,w)) \ w = L(x \ w,y,a(z,u,w)).
L(x \ y,z,a(u,w,y)) = L(x,z,a(u,w,y)) \ y.
x * (a(y,z,x) * u) = (x * u) * a(y,z,x).
(x * y) * a(z,u,x) = x * (a(z,u,x) * y).
x \ R(y * x,y,x) = T((R(y * x,y,x) / (y * x)) * y,x).
T((R(x * y,x,y) / (x * y)) * x,y) = y \ R(x * y,x,y).
(x * a(y,z,u)) / u = a(y,z,u) * (x / u).
(a(x,y,z) * (u * z)) / (T(a(x,y,z),u) * z) = R(u,a(x,y,z),L(z,u,a(x,y,z))).
L(x * y,z,a(x,u,y)) = x * y.
L(x \ y,z,a(x,u,y)) = x \ y.
(a(x,y,L(y,z,u)) * (w * y)) / (w * y) = R(a(x,y,L(y,z,u)),w,L(y,w,a(x,y,L(y,z,u)))).
R(a(x,y,L(y,z,u)),w,L(y,w,a(x,y,L(y,z,u)))) = (a(x,y,L(y,z,u)) * (w * y)) / (w * y).
L(1 / (x \ 1),y,a(z,u,x \ 1)) = x.
(x * R(1 / y,x,a(z,u,y))) \ ((x * (1 / y)) * a(z,u,y)) = L(a(z,u,y),x,1 / y).
a(a(x,y,z),u,z \ 1) = 1.
x * (y \ 1) = a(z,u,y) * ((a(z,u,y) \ x) * (y \ 1)).
a(x,y,z) * ((a(x,y,z) \ u) * (z \ 1)) = u * (z \ 1).
a(x,y,z) * (u * T(z \ 1,a(x,y,z) * u)) = (z \ 1) * (a(x,y,z) * u).
1 * ((x * ((x \ 1) / y)) / (1 / y)) = a(x,y \ (x \ 1),y).
(x \ y) \ (a(x,z,y) * u) = T(a(x,z,y) * (u / (x \ y)),x \ y).
T(a(x,y,z) * (u / (x \ z)),x \ z) = (x \ z) \ (a(x,y,z) * u).
(a(x,y,z) * (u * R(z,w,v5))) / (T(a(x,y,z),u) * R(z,w,v5)) = R(u,a(x,y,z),L(R(z,w,v5),u,a(x,y,z))).
L((1 / x) \ y,x \ 1,a(z,u,x)) = (a(z,u,x) / x) \ (a(z,u,x) * y).
a(x,y,z) \ 1 = z \ (a(x,y,z) \ z).
x \ (a(y,z,x) \ x) = a(y,z,x) \ 1.
a(x,y,z) \ z != u * z | a(x,y,z) \ 1 = u.
a(x,y,z) \ z = z * (a(x,y,z) \ 1).
x * (a(y,z,x) \ 1) = a(y,z,x) \ x.
L(x,y,a(z,u,x \ 1)) = x.
(a(x,y,z \ 1) * u) * z = a(x,y,z \ 1) * (u * z).
(a(x,y,z) \ 1) \ z = z * a(x,y,z).
L(a(x,y,z),u,z) = a(x,y,z).
a(x,y,z) * (z * u) = z * (u * a(x,y,z)).
x * (T(y,x) * a(z,u,y)) = y * (x * L(a(z,u,y),y,x)).
x * (y * L(a(z,u,x),x,y)) = y * (T(x,y) * a(z,u,x)).
a(x,y,z) = R(a(x,y,z),u,z).
R(a(x,y,z),u,z) = a(x,y,z).
a(x,y,z) \ R(u,w,z) = R(a(x,y,z) \ u,w,z).
R(a(x,y,z) \ u,w,z) = a(x,y,z) \ R(u,w,z).
a(x \ (y \ 1),x,y) = a((x * y) \ 1,x,y).
a((x * y) \ 1,x,y) = a(x \ (y \ 1),x,y).
L(a(x,y,z \ 1),z,z) = a(x,y,z \ 1).
L(a(x,y,z),z,z \ 1) = a(x,y,z).
(x * y) * a(z,z,a(u,w,x)) = x * (y * a(z,z,a(u,w,x))).
a(x,x,a(y,z,u)) * R(w,v5,u) = R(a(x,x,a(y,z,u)) * w,v5,u).
R(a(x,x,a(y,z,u)) * w,v5,u) = a(x,x,a(y,z,u)) * R(w,v5,u).
R(x,y,z) * a(u,w,z) = R(x * a(u,w,z),y,z).
R(x * a(y,z,u),w,u) = R(x,w,u) * a(y,z,u).
a(x,y,z) / R(u,w,z) = R(a(x,y,z) / u,w,z).
R(a(x,y,z) / u,w,z) = a(x,y,z) / R(u,w,z).
R(x,y,z) \ a(u,w,z) = R(x \ a(u,w,z),y,z).
R(x \ a(y,z,u),w,u) = R(x,w,u) \ a(y,z,u).
a(x,y,z \ 1) = L(a(x,y,z \ 1),z \ 1,z).
L(a(x,y,z \ 1),z \ 1,z) = a(x,y,z \ 1).
x \ (y \ ((y * x) * x)) = x * a(y,x,x).
L(x * a(y,x,x),x,y) = (y * x) \ ((y * x) * x).
a(x,y,z) \ (z \ u) = z \ (a(x,y,z) \ u).
a(x,y,z) * (z \ u) = z \ (a(x,y,z) * u).
x \ (a(y,z,x) * u) = a(y,z,x) * (x \ u).
a(x,y,z) * (z \ (L(z,y,x) * (y * x))) = z \ (z * (y * x)).
(x * (a(y,z,u) * u)) \ (a(y,z,u) * (x * u)) = a(x,a(y,z,u),u).
((a(x,y,z) \ u) * z) \ (u * z) = a(x,y,z).
(x * a(y,z,u)) * u = (x * u) * a(y,z,u).
a(x,y,z) * (z * u) = z * (a(x,y,z) * u).
x * (y * a(z,u,x)) != a(z,u,x) * w | x * y = w.
a(x,y,z) * u != z * (w * a(x,y,z)) | z * w = u.
a(x,y,z) * (a(u,w,v5) * z) = z * (a(u,w,v5) * a(x,y,z)).
a(a(x,y,z),z,u) = ((a(x,y,z) * z) * u) / (z * (u * a(x,y,z))).
((a(x,y,z) * z) * u) / (z * (u * a(x,y,z))) = a(a(x,y,z),z,u).
x * ((y \ z) * a(y,y \ z,x)) = y \ (z * T(x,y \ z)).
a(x \ (y \ 1),x,y) \ 1 = a(x * y,x,y).
a(x \ (y \ 1),x,y) / y = (1 / (x * y)) * x.
(x * y) * a(x \ (y \ 1),x,y) = a(x * y,x,y) \ (x * y).
a(x,y,z) \ a(u \ 1,u,z) = z \ (a(x,y,z) \ L(z,u,u)).
x * (a(y,z,x) * (x \ u)) = a(y,z,x) * u.
L(a(x,y,z),(a(x,y,z) \ u) * z,w) = (w * ((a(x,y,z) \ u) * z)) \ (w * (u * z)).
x * (a(y,z,x) * u) != a(y,z,x) * w | x * u = w.
a(x,y,z) * u != z * (a(x,y,z) * w) | z * w = u.
a(x * y,x,y) = ((1 / y) / x) * (x * y).
((1 / x) / y) * (y * x) = a(y * x,y,x).
a(x * y,x,y) \ y = y * a(x \ (y \ 1),x,y).
x * a(y \ (x \ 1),y,x) = a(y * x,y,x) \ x.
((1 / x) / (y / x)) * y = a((y / x) * x,y / x,x).
a((x / y) * y,x / y,y) = ((1 / y) / (x / y)) * x.
x \ L(x,y,y \ (x \ 1)) = a(y * x,y,x).
L(x * (y \ (a(z,u,x) \ w)),y,a(z,u,x)) = x * ((a(z,u,x) * y) \ w).
L(L(x,y,z) \ x,u,a(w,v5,x)) = L(x,y,z) \ x.
R(a(x,y,z) * a(u,w,z),v5,z) = a(x,y,z) * a(u,w,z).
L(x * a(y,x,x),x,y) = x.
a(x \ (y \ 1),x,y) * y = a(x * y,x,y) \ y.
a(x \ (y \ 1),x,y) * y = (y \ L(y,x,x \ (y \ 1))) \ y.
(x \ L(x,y,y \ (x \ 1))) \ x = a(y \ (x \ 1),y,x) * x.
a(x,x / y,y) = ((1 / y) / (x / y)) * x.
((1 / x) / (y / x)) * y = a(y,y / x,x).
((1 / x) / (y / x)) * y = a(y,x \ y,x).
(x / (y / (x \ 1))) * y = a(y,(x \ 1) \ y,x \ 1).
a(x,(y \ 1) \ x,y \ 1) = (y / (x / (y \ 1))) * x.
(((x / (y / (x \ 1))) * y) \ z) \ z = a(y,(x \ 1) \ y,x \ 1).
a(x \ 1,(y \ 1) \ x,y \ 1) = ((y / (x / (y \ 1))) * x) \ 1.
x * ((L(y,z,u) * x) \ (y * x)) = y * (L(y,z,u) \ x).
L(a(x,y,z \ 1),u,z) = a(x,y,z \ 1).
x \ (y * (L(y,z,u) \ x)) = (L(y,z,u) * x) \ (y * x).
(L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)).
(x \ y) * ((L(x,z,u) * (x \ y)) \ y) = x * (L(x,z,u) \ (x \ y)).
x * (L(x,y,z) \ u) != u * w | (L(x,y,z) * u) \ (x * u) = w.
(x * y) * ((x * (T(z,x * y) * y)) \ (T(z,y) * (x * y))) = T(z,y) * (L(T(z,y),y,x) \ (x * y)).
x * L(L(y,z,u) \ y,L(y,z,u),x) = y * (L(y,z,u) \ x).
x * a(y \ x,y,z) = z * (L(z,y,y \ x) \ x).
x * (L(x,y,y \ z) \ z) = z * a(y \ z,y,x).
x \ (y * (L(y,z,u) \ x)) = (x * L(y,z,u)) \ (x * y).
(x * L(y,z,u)) \ (x * y) = x \ (y * (L(y,z,u) \ x)).
x \ ((x \ y) * (L(x \ y,z,u) \ x)) = (x * L(x \ y,z,u)) \ y.
L(x * y,a(z,u,w),x) \ (x * y) = x \ (y * (L(y,a(z,u,w),x) \ x)).
a(x,y,L(z,y,x)) = y \ (z * (L(z,y,x) \ y)).
x * a(y,x,L(z,x,y)) = z * (L(z,x,y) \ x).
L(x \ (L(y,y * x,z) \ (y * x)),x,y) = a(z,y * x,L(y,y * x,z)).
a(a(x,y,z),x,L(u,x,a(x,y,z))) = x \ (u * L(u \ x,x,a(x,y,z))).
a(x * y,z,a(z,x,y)) = z \ ((z \ R(z,x,y)) * (L(z \ R(z,x,y),z,x * y) \ z)).
x \ ((x \ R(x,y,z)) * (L(x \ R(x,y,z),x,y * z) \ x)) = a(y * z,x,a(x,y,z)).
a(x,y,L(z,y,x)) * y = z * (L(z,y,x) \ y).
(x \ y) * a(z,x \ y,L(x,x \ y,z)) = L(x,x \ y,z) \ y.
(x * a(y,x,L(z,x,y))) \ (x * z) = L(z,x,y).
T(x * a(y,x,L(z,x,y)),z) = L(z,x,y) \ (x * z).
L(x,L(x,y,z),u) \ x = a(u,L(x,y,z),L(x,L(x,y,z),u)).
a(x,L(y,z,u),L(y,L(y,z,u),x)) = L(y,L(y,z,u),x) \ y.
(a(x,y,L(z,y,x)) * y) \ (y * z) = L(z,y,x).
(L(x,y,z) * a(x,L(x,y,z),L(u,L(x,y,z),x))) \ (L(x,y,z) * u) = L(u,x,L(x,y,z)).
1 * ((1 / x) \ (y * ((y \ 1) / x))) = a(y,x \ (y \ 1),x).
x * (y * L(a(z,u,x),x,y)) = y * T(x * a(z,u,x),y).
(1 / x) \ (y * ((y \ 1) / x)) = a(y,x \ (y \ 1),x).
(x \ 1) \ T(y * ((y \ 1) / x),x) = a(y,x \ (y \ 1),x).
x * (y * L(a(z,u,x),x,y)) = (x * a(z,u,x)) * y.
L(a(x,y,z),u,L(z,w,v5)) = a(x,y,z).
a(L(x,y,z),u,a(w,v5,x)) = 1.
L(a(x,y,L(z,u,w)),v5,L(L(z,v6,v7),u,w)) = a(x,y,L(z,u,w)).
a(x,y,z) = R(a(x,y,z),u,L(z,w,v5)).
R(a(x,y,z),u,L(z,w,v5)) = a(x,y,z).
R(a(L(x,y,z),u,a(w,v5,x)) / L(v6,v7,v8),v9,v10) = 1 / L(R(v6,v9,v10),v7,v8).
a(x,y,z) \ (u * L(z,w,v5)) = (a(x,y,z) \ u) * L(z,w,v5).
a(x,y,z) * (u * L(z,w,v5)) = (u * a(x,y,z)) * L(z,w,v5).
(x * a(y,z,u)) * L(u,w,v5) = a(y,z,u) * (x * L(u,w,v5)).
T(((x * y) \ R(x * y,x,y)) * x,y) = y \ R(x * y,x,y).
a(x,y,y) * (y \ (y * (L(y,y,x) * x))) = y \ (y * (y * x)).
((1 / x) / y) \ 1 = a(y * x,y,x) \ (y * x).
a(x * y,x,y) \ (x * y) = ((1 / y) / x) \ 1.
a(x,x,a(y,z,u)) \ (x * a(y,z,u)) = ((1 / a(y,z,u)) / x) \ 1.
a(a(x,y,z),a(x,y,z),u) \ (a(x,y,z) * u) = ((1 / u) / a(x,y,z)) \ 1.
a(x,x,y) \ a(x \ 1,x,y) = y \ L(L(y,x,x),x,x).
R(x * x,x,y) \ (x * x) = y \ L(L(y,x,x),x,x).
R(a(x,x,y),a(x,x,y),a(x,x,y)) * a(x,x,y) = 1 / (y \ L(L(y,x,x),x,x)).
L(x,y,y \ (x \ 1)) \ x = a(y \ (x \ 1),y,x).
a(x \ (y \ 1),x,y) / y = 1 / L(y,x,x \ (y \ 1)).
1 / L(x,y,y \ (x \ 1)) = (1 / (y * x)) * y.
1 / L(x \ 1,y,y \ x) = (1 / (y * (x \ 1))) * y.
(1 / (x * (y \ 1))) * x = L(1 / y,x,x \ y) \ 1.
L(1 / x,y,y \ x) \ 1 = (1 / (y * (x \ 1))) * y.
L(L(x,y,z) \ x,L(x,y,z),u) * u = x * (L(x,y,z) \ u).
T(a(x * y,x,y) * x,y) = y \ R(x * y,x,y).
T(x * a(x * y,x,y),y) = y \ R(x * y,x,y).
a(x,y,y) * (L(y,y,x) * x) = y \ (y * (y * x)).
a(x,y,y) * (L(y,y,x) * x) = y * x.
L(x,x,y) * a(y,x,x) = x.
a(x,y,y) * L(y,y,x) = y.
(L(x,x,y) * y) \ (x * y) = a(y,x,x).
a(x,y,y) \ y = L(y,y,x).
L(x,x,y) \ x = a(y,x,x).
L(L(x,x,y) \ z,L(x,x,y),a(y,x,x)) = x \ (a(y,x,x) * z).
x * L(y,L(x,x,z),a(z,x,x)) = a(z,x,x) * (L(x,x,z) * y).
a(L(x,y,z) \ u,w,w) \ w = L(w,w,R(x,y,z) \ u).
x * (R(x,y,y) \ y) = a(x,y,y) \ y.
a(x \ L(y,z,u),w,w) \ w = L(w,w,x \ R(y,z,u)).
x \ a(y,x,x) = L(x,x,y) \ 1.
L(x,x,y) \ 1 = x \ a(y,x,x).
x * L(x \ 1,x,a(y,z,u)) = a(a(y,z,u),x,x).
a(x,y,x) \ a(z,x,x) = L(x,x,z) \ L(x,y,x).
L(x,x,y) \ L(x,z,x) = a(x,z,x) \ a(y,x,x).
a(x,y,y) / y = 1 / L(y,y,x).
(a(x,y,y) / y) \ 1 = L(y,y,x).
L(R(x,y,z),L(x,y,z),u) \ R(x,y,z) = a(u,R(x,y,z),R(x,y,z)).
L(x,x,y \ L(z,u,w)) \ x = a(y \ R(z,u,w),x,x).
L(x,x,y * L(z,u,w)) \ x = a(y * R(z,u,w),x,x).
a(x,y,y) \ L(y,z,u) = L(y,y,x) * (y \ L(y,z,u)).
L(x,x,y) * (x \ L(x,z,u)) = a(y,x,x) \ L(x,z,u).
a(x,y,y) * a(y,z,u) = y * (L(y,y,x) \ a(y,z,u)).
x * (L(x,x,y) \ a(x,z,u)) = a(y,x,x) * a(x,z,u).
L(x,x,y) \ L(x,x,x) = a(x \ y,x,x).
a(x,x,L(x,x,y)) * a(y,x,x) = L(L(x,x,y),x,x) \ x.
a(a(x,y,z) \ 1,u,u \ 1) = a(a(x,y,z),u,u).
L(x \ 1,x,a(y,z,u)) = x \ a(a(y,z,u),x,x).
a(L(x \ 1,x,y),z,u) = a(x \ a(y,x,x),z,u).
L(x,y \ a(z,y,y),L(y,y,z) \ 1) = (L(y,y,z) \ 1) \ (L(y,y,z) \ x).
L(T(x,x \ 1),x,y) = (x \ a(y,x,x)) \ 1.
L(1 / x,x,a(y,z,u)) = a(a(y,z,u),x,x) / x.
x * a(x,y,y) = y * (L(y,y,x) \ x).
x * (L(x,x,y) \ y) = y * a(y,x,x).
x * y != a(x,z,u) \ w | y = a(x,z,u) \ (x \ w).
R(x,y,y) \ y = a(x,y,y) \ (x \ y).
a(x,y,y) \ (x \ y) = R(x,y,y) \ y.
x * a(x,y,y) = R(x,y,y).
a(x,y,y) \ R(x,y,y) = x.
x \ R(x,y,y) = a(x,y,y).
(x \ 1) * y != R(x \ 1,z,u) | y = R(x,z,u) \ x.
a(x \ 1,y,y) = R(x,y,y) \ x.
R(x,y,y) != x * z | a(x,y,y) = z.
R(x,y,y) * L(z,a(x,y,y),x) = x * (a(x,y,y) * z).
L(a(x,y,y) \ z,a(x,y,y),x) = R(x,y,y) \ (x * z).
L(x \ a(y,z,z),x,y) = (y * x) \ R(y,z,z).
a(x,y,y) * x = R(x,y,y).
R(x,y,y) / x = a(x,y,y).
L(x \ y,x,a(x,z,z)) = R(x,z,z) \ (a(x,z,z) * y).
L(x \ y,x,a(y,z,z)) = (x * a(y,z,z)) \ R(y,z,z).
R(x * x,y,y) = x * (a(x * x,y,y) * x).
x * (a(x * x,y,y) * x) = R(x * x,y,y).
x * (R(x,y,y) \ x) = a(x,y,y) \ x.
(a(x,y,y) \ 1) \ x = R(x,y,y).
R(x,y,y) / y = a(x,y,y) * (x / y).
a(x,y,y) * (x / y) = R(x,y,y) / y.
R(x,y,y) * y = (x * y) * a(x,y,y).
(x * y) * a(x,y,y) = R(x,y,y) * y.
R(x,a(y,z,z),y) * R(y,z,z) = (x * a(y,z,z)) * (a(y,z,z) \ R(y,z,z)).
(x * a(y,z,z)) * (a(y,z,z) \ R(y,z,z)) = R(x,a(y,z,z),y) * R(y,z,z).
L(x,y \ L(y,z,z),u) = L(x,a(y,z,z),u).
R(a(x,y,y) \ x,y,y) = x.
a(R(x,y,z),u,u) = R(x \ R(x,u,u),y,z).
R(x \ R(x,y,y),z,u) = a(R(x,z,u),y,y).
(x \ 1) \ a(x,y,y) = R(T(x,x \ 1),y,y).
R(T(x,x \ 1),y,y) = (x \ 1) \ a(x,y,y).
a(x,y,y) * T(x,z) = R(T(x,z),y,y).
(a(x,y,y) \ 1) * z = (R(x,y,y) \ x) * z.
(R(x,y,y) \ x) * z = (a(x,y,y) \ 1) * z.
x * a(y \ 1,z,z) = (R(y,z,z) \ y) * x.
(R(x,y,y) \ x) * z = z * a(x \ 1,y,y).
K(x,y) * a(x,z,z) = x \ R(T(x,y),z,z).
x \ R(T(x,y),z,z) = K(x,y) * a(x,z,z).
a(x,y,z) \ L(a(x,y,z),u,u) = a(a(x,y,z),u,u).
x \ L(x,a(y,z,u),a(y,z,u)) = a(x,a(y,z,u),a(y,z,u)).
L(x,(y \ ((R(y,z,z) \ u) \ u)) * w,v5) = L(x,a(y,z,z) * w,v5).
L(x,y,z \ L(z,u,u)) = L(x,y,a(z,u,u)).
a(x,y,z \ L(z,u,u)) = a(x,y,a(z,u,u)).
a(x,y,z) \ R(a(x,y,z),u,u) = a(a(x,y,z),u \ 1,u \ 1).
a(x,x,y) \ a(x,x,L(y,z,z)) = a(a(x,x,y),z,z).
a(a(x,y,z) * u,x,x) = a(x,y,z) \ ((a(x,y,z) / u) * R(u,x,x)).
a(x,y,z) \ ((a(x,y,z) / u) * R(u,x,x)) = a(a(x,y,z) * u,x,x).
(a(x,y,y) \ x) * (x \ y) = L(y,y,a(x,y,y) \ x).
L(x,x,a(y,x,x) \ y) = (a(y,x,x) \ y) * (y \ x).
L(x,L(y,z,z),L(u,z,z)) = L(R(a(x,z,z) \ x,z,z),y,u).
L(R(a(x,y,y) \ x,y,y),z,u) = L(x,L(z,y,y),L(u,y,y)).
a((x \ y) \ 1,z,z) = x \ (y * R(y \ x,z,z)).
x \ (y * R(y \ x,z,z)) = a((x \ y) \ 1,z,z).
a(x \ 1,y,y) \ x = R(x,y,y).
a(x \ 1,y,y) * z = z * (R(x,y,y) \ x).
R(a(x \ 1,y,y),x,y * y) = a(x,y,y) \ 1.
L(x,a(y \ 1,z,z),u) = R(x,R(y,z,z) \ y,u).
R(x,R(y,z,z) \ y,u) = L(x,a(y \ 1,z,z),u).
a(x \ 1,y,y) = y \ L(y,y,x).
x * a(y \ 1,x,x) = L(x,x,y).
a(x \ 1,y,y) * y = L(y,y,x).
a(x \ 1,y,y) * z = (y \ L(y,y,x)) * z.
L(x,y,a(z \ 1,u,u)) = L(x,y,a(u,u,z)).
L((R(x,y,y) \ x) \ ((1 / z) \ a(x \ 1,y,y)),z,a(x \ 1,y,y)) = z.
a(a(x \ 1,y,y),z,u) = a(a(y,y,x),z,u).
a(x,y,a(z \ 1,u,u)) = a(x,y,a(u,u,z)).
a(a(x,y,z) \ 1,u,u) = a(a(x,y,z),u,u \ 1).
R(x,y,y) \ T(x,z) = a(x,y,y) \ K(x,z).
a(x,y,y) \ K(x,z) = R(x,y,y) \ T(x,z).
x \ L(x,x,y \ 1) = a(y,x,x).
a(L(x \ 1,y,z),u,u) = u \ L(u,u,L(x,y,z)).
a(a(x,y,z) \ 1,u,u) = a(u,u,a(x,y,z)).
a(x \ a(x,x,y),z,z) = z \ L(z,z,a(x,x,y) \ x).
x \ L(x,x,a(y,y,z) \ y) = a(y \ a(y,y,z),x,x).
x * a(y,x,x) = L(x,x,y \ 1).
L(x,x,y \ 1) = x * a(y,x,x).
L(x,x,y \ 1) = a(y,x,x) * x.
x * a(L(y \ 1,z,u),x,x) = L(x,x,L(y,z,u)).
(x * y) * a(x \ 1,y,y) = x * L(y,y,x).
x * a(y \ (z \ 1),x,x) = L(x,x,(y \ 1) \ z).
L(L(x,x,y),x,y \ 1) = x.
x = L(L(x,x,y \ 1),x,y).
L(L(x,x,y \ 1),x,y) = x.
L(x,y,z) = L(L(L(x,y,z),x,u),x,u \ 1).
L(L(L(x,y,z),x,u),x,u \ 1) = L(x,y,z).
(x \ L(x,x,y)) / (L(x,x,y) \ 1) = (L(L(x,x,y),x,y \ 1) \ L(x,x,y)) * L(x,x,y).
(L(L(x,x,y),x,y \ 1) \ L(x,x,y)) * L(x,x,y) = (x \ L(x,x,y)) / (L(x,x,y) \ 1).
L(R(L(x,x,y \ 1),z,u),x,y) = R(x,z,u).
a(x \ L(x,y,z),u,u) * u = L(u,u,L(x,y,z) \ x).
a(x,y,y) * L(y,z,y) = L(L(y,z,y),y,x \ 1).
L(L(x,y,x),x,z \ 1) = a(z,x,x) * L(x,y,x).
x \ L(x,x,x \ y) = a(y \ x,x,x).
L(x,y,a(z,u,u)) = L(x,y,a(u,u,z \ 1)).
L(x,y,a(z,z,u \ 1)) = L(x,y,a(u,z,z)).
a(a(x,y,y),z,u) = a(a(y,y,x \ 1),z,u).
a(a(x,x,y \ 1),z,u) = a(a(y,x,x),z,u).
x * L(y,y,z \ 1) = x * (y * a(z,y,y)).
(a(x,y,y) * z) \ (z * L(y,y,x \ 1)) = L(y,a(x,y,y),z).
a(x \ y,y,y) * y = L(y,y,y \ x).
L(a(x,y,y) * y,z,L(y,u,w)) = L(L(y,z,y),y,x \ 1).
x \ (R(x,y,y) / y) = a(x,y,y) * (x \ (x / y)).
a(x,y,y) * (x \ (x / y)) = x \ (R(x,y,y) / y).
x \ (R(x,y,y) / y) = (x \ (x / y)) * a(x,y,y).
(x \ (x / y)) * a(x,y,y) = x \ (R(x,y,y) / y).
R(x,y,y) * y = x * (y * a(x,y,y)).
x * (y * a(x,y,y)) = R(x,y,y) * y.
a(T(x,y),z,z) * T(T(x,u),y) = R(T(T(x,y),u),z,z).
x \ L(x,x,L(x,y,z) \ T(u,x)) = a((L(x,y,z) \ (u * x)) \ x,x,x).
a((L(x,y,z) \ (u * x)) \ x,x,x) = x \ L(x,x,L(x,y,z) \ T(u,x)).
x \ L(x,x,L(y \ z,y,y \ x)) = a(((x / y) * z) \ x,x,x).
x * (a(x,y,y) * y) = R(x,y,y) * y.
(x \ 1) * L(y,y,x) = R(x \ 1,y,y) * y.
R(x \ 1,y,y) * y = (x \ 1) * L(y,y,x).
a(x,y,z * L(a(z,u,u) * u,w,a(z,u,u) * u)) = a(x,y,R(z,u,u) * u).
x \ R(x * x,y,y) = a(x * x,y,y) * x.
L((x \ L(x,y,y)) \ z,a(x,y,y),(x \ L(x,y,y)) \ 1) = (1 / (x \ L(x,y,y))) * z.
L(x,R(y,y,z) \ y,u) = L(x,a(z,y,y),u).
L(x,a(y \ 1,y,z),u) = L(x,a(z,y,y),u).
L(x,y * (z \ (y \ z)),u) = L(x,a(z,y,y),u).
R(a(x,y,y),z,u) = a(R(x,z,u),y,y).
a(R(x,y,z),u,u) = R(a(x,u,u),y,z).
a(L(x,y,z),u,u) = R(a(x,u,u),y,z).
a(L(x,y,z),u,u) * R(w,y,z) = R(a(x,u,u) * w,y,z).
a(L(x,y,z),u,u) * (y * z) = (a(x,u,u) * y) * z.
a(L(x,y,z),u,u) \ R(w,y,z) = R(a(x,u,u) \ w,y,z).
L(a(x,y,y),z,u) = a(L(x,z,u),y,y).
a(L(x,y,z),u,u) = L(a(x,u,u),y,z).
R(x \ (a(y,z,z) \ x),u,x) = x \ (a(L(y,u,x),z,z) \ x).
R(a(x,y,y) / a(z,u,z),w,v5) = a(z,u,z) \ a(L(x,w,v5),y,y).
(x \ 1) * a(L(y,x,x),z,z) = x \ a(y,z,z).
a(L(x,y,y),z,z) * y = a(x,z,z) / (y \ 1).
a(L(x,y,y),z,z) * (1 / y) = a(x,z,z) / y.
a(L(x,y,z),z,z) = a(x,z,z).
a(L(x,y,L(z,u,w)),z,z) = a(x,z,z).
a((x * y) \ z,x,x) = a(y \ (x \ z),x,x).
a(x \ (y * z),y,y) = a((y \ x) \ z,y,y).
a((x \ y) \ z,x,x) = a(y \ (x * z),x,x).
a(x,y,y) * z = z * a(L(x,u,y),y,y).
x * a(L(y,z,u),u,u) = a(y,u,u) * x.
a(x \ y,x,x) = a((y \ x) \ 1,x,x).
a((x \ y) \ 1,y,y) = a(y \ x,y,y).
a((x \ 1) \ y,y,y) = a(y * x,y,y).
a(x \ y,y,y) = a(y * (x \ 1),y,y).
a(x * (y \ 1),x,x) = a(y \ x,x,x).
a(x \ y,x,x) = a((1 / x) * y,x,x).
a((1 / x) * y,x,x) = a(x \ y,x,x).
a(x \ 1,y,y) = a(y \ (x \ y),y,y).
a(x \ (y \ x),x,x) = a(y \ 1,x,x).
a((x \ 1) * y,y,y) = a(x \ y,y,y).
a(a(x,x,L(y,z,u)),u,u) = a(a(x,x,y),u,u).
(x * y) * a(L(z,y,x),u,u) = x * (y * a(z,u,u)).
a(L(x,a(x,y,y) \ z,u),y,y) = (u * (a(x,y,y) \ z)) \ (u * z).
x * (y * a(L(z,x,y),x,x)) = (x * a(z,x,x)) * y.
a(L(x,y,z),u,u) = L(x \ R(x,u,u),y,z).
L(x \ R(x,y,y),z,u) = a(L(x,z,u),y,y).
a(L(x \ 1,y,z),u,u) = L(R(x,u,u) \ x,y,z).
L(R(x,y,y) \ x,z,u) = a(L(x \ 1,z,u),y,y).
a(L(x \ 1,y,z),u,u) = L(u \ L(u,u,x),y,z).
L(x \ L(x,x,y),z,u) = a(L(y \ 1,z,u),x,x).
a((L(x,y,z) * u) \ w,x,x) = a(u \ (L(x,y,z) \ w),x,x).
a(x \ (L(y,z,u) * w),y,y) = a((L(y,z,u) \ x) \ w,y,y).
a((L(x,y,z) \ u) \ w,x,x) = a(u \ (L(x,y,z) * w),x,x).
a(L(x,y,z) \ u,x,x) = a((u \ L(x,y,z)) \ 1,x,x).
a((x \ L(y,z,u)) \ 1,y,y) = a(L(y,z,u) \ x,y,y).
a((x \ 1) \ L(y,z,u),y,y) = a(L(y,z,u) * x,y,y).
a(L(x,y,z) \ u,x,x) = a((1 / L(x,y,z)) * u,x,x).
a((1 / L(x,y,z)) * u,x,x) = a(L(x,y,z) \ u,x,x).
a(x \ y,x,x) = x \ L(x,x,y \ x).
x \ L(x,x,y \ x) = a(x \ y,x,x).
x * a(x \ y,x,x) = L(x,x,y \ x).
a(x * R(y \ 1,z,u),x,x) = a(R(y,z,u) \ x,x,x).
a(L(x * (y \ 1),z,u),x,x) = R(a(y \ x,x,x),z,u).
a(L(x \ 1,x,y \ 1) * z,z,z) = a(L(x,x \ 1,y) \ z,z,z).
x * R(a(x \ y,x,x),z,u) = L(x,x,L(x * (y \ 1),z,u)).
L(x,x,L(x * (y \ 1),z,u)) = x * R(a(x \ y,x,x),z,u).
x * a(R(y,z,u),u,u) = a(y,u,u) * x.
a(x,y,y) * R(x,z,y) = R(R(x,z,y),y,y).
(R(x,y,y) \ x) * z != (a(x,y,y) \ 1) * u | z = u.
a(x,y,y) \ 1 = a(x \ 1,y,y).
a(x \ 1,y,y) = a(x,y,y) \ 1.
(a(x \ 1,y,y) / a(x,y,y)) \ 1 = a(x,y,y) * a(x,y,y).
x \ L(x,a(y,z,z),a(y \ 1,z,z)) = a(a(y,z,z),a(y,z,z),x).
(K(x,y) * a(x,z,z)) \ 1 = R(T(x,y),z,z) \ x.
a(x,(K((y \ z) \ z,u) * a((y \ z) \ z,w,w)) * v5,v6) = a(x,v5 * (y \ R(T((y \ z) \ z,u),w,w)),v6).
a(x,y,(K((z \ u) \ u,w) * a((z \ u) \ u,v5,v5)) * v6) = a(x,y,v6 * (z \ R(T((z \ u) \ u,w),v5,v5))).
a(x,y,y) * ((a(x,y,y) \ 1) * z) = L(z,a(x,y,y) \ 1,x \ L(x,y,y)).
L(x,a(y,z,z) \ 1,y \ L(y,z,z)) = a(y,z,z) * ((a(y,z,z) \ 1) * x).
L(x,y,z \ L(z,u \ K(w,v5),u \ 1)) = L(x,y,a(z,u \ K(w,v5),u \ K(w,v5))).
L(x,y,a(z,u \ K(w,v5),u \ K(w,v5))) = L(x,y,z \ L(z,u \ K(w,v5),u \ 1)).
L((x \ L(x,y,y)) \ z,x,a(x,y,y)) = x * (L(x,y,y) \ z).
L(x,y,a(z \ 1,z,u)) = L(x,y,a(u,z,z)).
L(x,y,a(z,z \ 1,u)) = L(x,y,a(u,z,z)).
L(x,x \ 1,a(y,z,z)) = L(x,x,a(z,z,y)).
L((1 / x) \ y,x \ 1,a(z,x,x)) = (z \ (z / x)) \ ((x * ((z * x) \ z)) * y).
x * (a(y \ 1,y,x) * (L(x,y,y) \ z)) = L(z,x,a(x,y,y)).
a(x,y,a(z,z \ 1,u)) = a(x,y,a(u,z,z)).
a(x,y,a(z,z,u \ 1)) = a(x,y,a(u,z,z)).
a(x * y,z,a(y,x,x)) = 1.
1 = a(x * y,z,a(x,y,y)).
a(x * y,z,a(x,y,y)) = 1.
L(a(x,y,y),z,x * y) = a(x,y,y).
(x * y) * a(x,y,y) = (1 / (x * y)) \ a(x,y,y).
(1 / (x * y)) \ a(x,y,y) = (x * y) * a(x,y,y).
a(x \ 1,y,y) * z != u * (R(x,y,y) \ x) | z = u.
(x \ L(x,x,y)) \ (a(y \ 1,x,x) * z) = z.
a((x \ y) * L(x,x,x \ y),z,u) = a(a((x \ y) \ 1,x,x) * y,z,u).
a(a((x \ y) \ 1,x,x) * y,z,u) = a((x \ y) * L(x,x,x \ y),z,u).
L(x,(y \ z) * L(y,y,y \ z),u) = L(x,a((y \ z) \ 1,y,y) * z,u).
L(x,a((y \ z) \ 1,y,y) * z,u) = L(x,(y \ z) * L(y,y,y \ z),u).
R(x,y,(z \ u) * L(z,z,z \ u)) = R(x,y,a((z \ u) \ 1,z,z) * u).
R(x,y,a((z \ u) \ 1,z,z) * u) = R(x,y,(z \ u) * L(z,z,z \ u)).
a(x,y,(z \ u) * L(z,z,z \ u)) = a(x,y,a((z \ u) \ 1,z,z) * u).
a(x,y,a((z \ u) \ 1,z,z) * u) = a(x,y,(z \ u) * L(z,z,z \ u)).
L(L(x,y,z),x,u) * ((L(L(x,y,z),x,u) \ L(x,y,z)) * (L(L(x,y,z),x,u) \ w)) = (L(L(x,y,z),x,u) \ L(L(L(x,y,z),x,u),x,u \ 1)) * w.
L(L(x,y,z) \ L(L(x,y,z),x,u),L(L(L(x,y,z),x,u),x,u \ 1),x) = a(u \ 1,x,L(L(L(x,y,z),x,u),x,u \ 1)).
L(L(L(x,y,z),x,u) \ L(x,y,z),L(L(x,y,z),x,u),w) = w \ ((w / L(L(x,y,z),x,u)) * L(L(L(x,y,z),x,u),x,u \ 1)).
L(L(R(x,y,z),x,u \ 1),x,u) = R(x,y,z).
L(x,x,a(y,z,z)) \ a(z,z,y) = T(a(z,z,y) * (1 / x),x).
(a(x,x,y) / z) \ a(x,x,L(y,z,z)) = L(z,z,a(y,x,x)).
a(a(x \ 1,x,y),z,u) = a(a(y,x,x),z,u).
a(a(x,y,y),z,u) = a(x \ L(x,y,y),z,u).
a(x \ L(x,y,y),z,u) = a(a(x,y,y),z,u).
a(a(x,y,y),x \ 1,z) = a(x \ 1,a(y,y,x \ 1),z).
a(x \ 1,a(y,y,x \ 1),z) = a(a(x,y,y),x \ 1,z).
a(((x \ 1) * L(y,y,x)) \ z,u,w) = a((y * L(x \ 1,y,y)) \ z,u,w).
(R(x,y,y) / x) * R(x,y,y) = a(x * x,y,y) * x.
L(x,a(y,z,z),u) = L(x,a(z,z,y \ 1),u).
L(x,a(y,y,z \ 1),u) = L(x,a(z,y,y),u).
a(x \ (y \ z),y,y) = a((x * y) \ z,y,y).
a((x * y) \ z,y,y) = a(x \ (y \ z),y,y).
a(L(x,x,y),z,z) = y \ ((y / x) * R(x,z,z)).
x \ ((x / y) * R(y,z,z)) = a(L(y,y,x),z,z).
a(L(x,x,y),z,z) = y \ (R(x,z,z) * (x \ y)).
x \ (R(y,z,z) * (y \ x)) = a(L(y,y,x),z,z).
L(x,y,a(z,u,u)) = L(x,y,a(u,u,z \ u)).
L(x,y,a(z,z,u \ z)) = L(x,y,a(u,z,z)).
L(x,x,a(y,y,z)) \ a(z,y,y) = T(a(z,y,y) * (1 / x),x).
a(x,y,a(z,u \ 1,u \ 1)) = a(x,y,a(u,u,z \ 1)).
a(x,x,a(y \ x,z,z)) = a(x,x,a(z,z,x \ y)).
L(R(x,y,z) \ L(R(x,y,z),x,u \ 1),L(L(R(x,y,z),x,u \ 1),x,u),x) = a(u,x,L(L(R(x,y,z),x,u \ 1),x,u)).
L(x,a(y,y,z),u) = L(x,a(z \ 1,y,y),u).
L(x,a(y \ 1,z,z),u) = L(x,a(z,z,y),u).
L(a(a(x \ 1,y,y),a(x \ 1,y,y),z) * z,a(y,y,x),a(x \ 1,y,y)) = z.
L(L(x,x,y) \ 1,x,y) = (y * x) \ R(y,x,x).
R(a(x \ y,x,x),y \ x,x * x) = a(y \ x,x,x) \ 1.
a(L(x,1 / y,1 / y),z,z) / L(y,y \ 1,a(L(x,1 / y,1 / y),z,z)) = a(x,z,z) / ((1 / y) \ 1).
a(a(x,x,y \ (z * u)),z,z) = a(a(x,x,(z \ y) \ u),z,z).
a(a(x,x,(y \ z) \ u),y,y) = a(a(x,x,z \ (y * u)),y,y).
x \ (x / a(L(y,y,x),z,z)) = 1 / (1 / ((R(y,z,z) * (y \ x)) \ x)).
a(L(x,x,y),z,z) * y = R(x,z,z) * (x \ y).
x * a(a(y,z,u),x,x) = L(x,x \ 1,a(y,z,u)).
L(x,x \ 1,a(y,z,u)) = x * a(a(y,z,u),x,x).
a(a(x,y,z),u,u) = a(u,u \ 1,a(x,y,z)).
a(x,x \ 1,a(y,z,u)) = a(a(y,z,u),x,x).
a(x \ L(x,y,y),z,z \ 1) = a(a(y,y,x),z,z).
a(x,x,x) \ a(y,x,x) = a(x \ y,x,x).
a(a(x \ y,x,x),z,u) = a(a(y,x,x),z,u).
a(x \ a(y \ z,y,y),u,w) = a(x \ a(z,y,y),u,w).
L(x,y,z * a(u \ w,u,u)) = L(x,y,z * a(w,u,u)).
a(x,a(y \ z,y,y),u) = a(x,a(z,y,y),u).
a(x,y,a(z \ u,z,z)) = a(x,y,a(u,z,z)).
a(x,y,z \ a(u \ w,u,u)) = a(x,y,z \ a(w,u,u)).
a(a(x,y,y),y \ x,z) = a(y \ x,a(y \ x,y,y),z).
a(x \ y,a(x \ y,x,x),z) = a(a(y,x,x),x \ y,z).
a(a(x,y,z),u,u) \ a(x,y,z) = R(a(x,y,z),u,u \ 1).
a(a(x,y,z),a(x,y,z) \ u,a(x,y,z) \ u) = (a(x,y,z) \ u) * (u \ a(x,y,z)).
x \ a(a(y,z,u),x,x) = a(y,z,u) \ (x \ a(y,z,u)).
a(x,y,z) \ (u \ a(x,y,z)) = u \ a(a(x,y,z),u,u).
a(x \ a(y,x,x),z,u) = a(y \ (x \ y),z,u).
a(L(x,y,y) \ a(y,L(x,y,y),L(x,y,y)),z,u) = a(y \ (x \ R(y,y,x)),z,u).
(a(a(x,y,z),u,u) / u) * a(x,y,z) = a(x,y,z) / u.
x \ R(a(y,z,u) * (a(y,z,u) \ x),y,y) = a((x \ a(y,z,u)) \ 1,y,y).
R(x,R(y,z,z) \ y,u) = L(x,a(z,z,y),u).
L(x / (y / R(y,z,z)),a(z,z,y),R(y,z,z)) = (x * R(y,z,z)) / y.
a(x,y,y) * L(y,y,y) = L(y,y,y * (x \ 1)).
a(x,y,y) * L(y,y,y) = L(y,y,x \ y).
L(x,y,L(z,z,u \ z)) = L(x,y,a(u,z,z) * z).
L(x,y,z \ L(u,u,w \ u)) = L(x,y,z \ (a(w,u,u) * u)).
L((x \ (x / y)) \ 1,x \ (x / y),a(x,y,y)) = (x \ (R(x,y,y) / y)) \ a(x,y,y).
T(x \ (R(x,y,y) / y),(x \ (x / y)) \ 1) = ((a(x,y,y) * (x \ (x / y))) \ a(x,y,y)) \ a(x,y,y).
((a(x,y,y) * (x \ (x / y))) \ a(x,y,y)) \ a(x,y,y) = T(x \ (R(x,y,y) / y),(x \ (x / y)) \ 1).
T(((x \ (x / y)) \ 1) \ a(x,y,y),(x \ (x / y)) \ 1) = T((x \ (x / y)) \ 1,x \ (R(x,y,y) / y)) \ a(x,y,y).
T((x \ (x / y)) \ 1,x \ (R(x,y,y) / y)) \ a(x,y,y) = T(((x \ (x / y)) \ 1) \ a(x,y,y),(x \ (x / y)) \ 1).
L(R(x,y,y) \ x,x,z) = a(x \ a(z,x,x),y,y).
a(x \ a(y,x,x),z,z) = L(R(x,z,z) \ x,x,y).
a(L(x \ 1,y,z),y,y) = (y * z) \ (L(y,y,x) * z).
(x * y) \ (L(x,x,z) * y) = a(L(z \ 1,x,y),x,x).
R(T(x,y),z,z) \ x = a(x,z,z) \ (K(y,x) * 1).
a(x,y,y) \ (K(z,x) * 1) = R(T(x,z),y,y) \ x.
(1 / (x * y)) \ a(x,y,y) = R(x,y,y) * y.
(1 / (a(x,y,z) \ u)) \ a(u \ (a(x,y,z) \ u),u,u) = R(u \ (a(x,y,z) \ u),u,u) * u.
x * a(a(y,z,z),x,x) = L(x,x,a(z,z,y)).
a(a(x,x,y),z,z) = a(a(y,x,x),z,z \ 1).
a(a(x,y,y),z,z \ 1) = a(a(y,y,x),z,z).
a(x,y,y) * a(a(y,y,x),z,z) = R(a(x,y,y),z,z \ 1).
x * a(a(y,y,z),x,x) = L(x,x,a(z,y,y)).
a(a(x,x,y),z,z) * z = L(z,z,a(y,x,x)).
a(a(x,x,y),z,z) = a(z,z,a(y,x,x)).
a(x,x,a(y,z,z)) \ x = L(x,x,a(z,z,y)).
a(x,x,a(y \ 1,z,z)) = a(a(y,z,z),x,x).
a(a(x,x,y \ z),z,z) = a(z,z,a(x,x,z \ y)).
a(a(x,y,y),z,z) = a(z,z,a(y,y,x)).
x * a(y \ a(y \ x,y,y),z,z) = (x / y) * (y * (R(y,z,z) \ y)).
x * (T(y,x) * L(R(y,z,z) \ y,x,y)) = y * (x * a(y \ a(x,y,y),z,z)).
a(x,y,y) \ K(z,x) = R(T(x,z),y,y) \ x.
R(T(x,y),z,z) \ x = a(x,z,z) \ K(y,x).
a(x,y,(((R(T(z,u),w,w) \ v5) \ v5) \ z) * v6) = a(x,y,v6 * (a(z,w,w) \ K(u,z))).
a(a(x,x,(y / z) \ L(1 / z,z,y)),L(1 / z,z,y),L(1 / z,z,y)) = a(L(1 / z,z,y),L(1 / z,z,y),a(x,x,T(y,z \ 1))).
a(x,y,y) * R(x,y,y) = a(x * x,y,y) * x.
a(x * x,y,y) * x = a(x,y,y) * R(x,y,y).
a(x * x,y,y) * x = R(R(x,y,y),y,y).
R(R(x,y,y),y,y) = a(x * x,y,y) * x.
a(R(R(x,y,y),y,y),z,u) = a(x * a(x * x,y,y),z,u).
L(x,R(R(y,z,z),z,z),u) = L(x,y * a(y * y,z,z),u).
a(x,y,R(R(T(z,u),w,w),w,w)) = a(x,y,a(T(z,u) * T(z,u),w,w) * z).
x * R(R(x,y,y),y,y) = R(x * x,y,y).
x \ (L(y,y,z) * (y \ x)) = a(L(z \ 1,y,y \ x),y,y).
a(L(x \ 1,y,y \ z),y,y) = z \ (L(y,y,x) * (y \ z)).
L(x,x,R(y,z,u) \ w) = L(x,x,L(y,z,u) \ w).
L(x,x,L(y,z,u) \ w) = L(x,x,R(y,z,u) \ w).
L(x,x,L(y \ K(z,x),u,w) \ x) = L(x,x,T(x,z) * R(y,u,w)).
a(x \ R(y,z,u),w,w) = a(x \ L(y,z,u),w,w).
a(x \ L(y,z,u),w,w) = a(x \ R(y,z,u),w,w).
a(x * R(y,z,u),w,w) = a(x * L(y,z,u),w,w).
a(x * L(y,z,u),w,w) = a(x * R(y,z,u),w,w).
a(x * L(y,z,u),w,w) = a(R(y,z,u) * x,w,w).
a(R(x,y,z) * u,w,w) = a(u * L(x,y,z),w,w).
a(R(x,y,z) * u,w,w) = a(L(x,y,z) * u,w,w).
a(L(x,y,z) * u,w,w) = a(R(x,y,z) * u,w,w).
a(x,y,y) * a(y,y,z) = L(y,y,x) \ R(y,y,z).
L(x,x,y) \ R(x,x,z) = a(y,x,x) * a(x,x,z).
L(a(x,y,y) \ z,a(x,y,y),x) = x * (R(x,y,y) \ z).
L(x \ y,x,a(x,z,z)) = a(x,z,z) * (R(x,z,z) \ y).
a((R(x,y,y) * (z * a(x,y,y))) \ R(x,y,y),u,w) = a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w).
a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w) = a((R(x,y,y) * (z * a(x,y,y))) \ R(x,y,y),u,w).
a(x,y,y) * T(T(x,z),u) = R(T(T(x,u),z),y,y).
x \ (a(y,z,z) \ (R(T(T(y,u),w),z,z) * (T(T(y,w),u) \ x))) = a(a(y,z,z),T(T(y,w),u),T(T(y,w),u) \ x).
x * a(L(x,y,z) \ u,x,x) = L(x,x,u \ L(x,y,z)).
a(L(x,y,z) \ u,x,x) = a((L(x,y,z) \ 1) * u,x,x).
a((L(x,y,z) \ 1) * u,x,x) = a(L(x,y,z) \ u,x,x).
a(x * L(y \ 1,z,u),x,x) = a(R(y,z,u) \ x,x,x).
a(L(x \ y,z,u),y,y) = a(L(y * (x \ 1),z,u),y,y).
a(L(x * (y \ 1),z,u),x,x) = a(L(y \ x,z,u),x,x).
a(x,y,a(z,u \ 1,u \ 1)) = a(x,y,a(z,u,u)).
a(x,y,z \ a(u,w,w)) = a(x,y,z \ a(w * u,w,w)).
a(x,y,z \ a(u * w,u,u)) = a(x,y,z \ a(w,u,u)).
a(a(x,y,y),y \ x,z) = a(y \ x,a(x,y,y),z).
a(R(x,y,z) \ u,u,u) = a(L(x \ 1,y,z) * u,u,u).
a(L(x \ 1,y,z) * u,u,u) = a(R(x,y,z) \ u,u,u).
a(L(x,y,z) \ u,u,u) = a(L(x \ 1,y,z) * u,u,u).
a(L(x \ 1,y,z) * u,u,u) = a(L(x,y,z) \ u,u,u).
a(x,x,x) * a(y,x,x) = L(L(x,x,y),x,x) \ x.
L(L(x,x,y),x,x) \ x = a(x,x,x) * a(y,x,x).
L(x,x,x * y) \ x = a(x,x,x) * a(y,x,x).
a(x,x,x) * a(y,x,x) = L(x,x,x * y) \ x.
a(x,x,x) * a(y,x,x) = a(x * y,x,x).
R(a(x * y,x,x),z,u) = a(x,x,x) * R(a(y,x,x),z,u).
a(x,x,x) * R(a(y,x,x),z,u) = R(a(x * y,x,x),z,u).
a(x * a(y * z,y,y),u,w) = a(x * a(z,y,y),u,w).
a(x * a(y \ z,z,z),u,w) = a(x * a(y \ 1,z,z),u,w).
a(x * a(y \ 1,z,z),u,w) = a(x * a(y \ z,z,z),u,w).
a(x,y,y) * R(z,u,a(w,w,x)) = R(a(x,y,y) * z,u,a(w,w,x)).
R(a(x,y,y) * z,u,a(w,w,x)) = a(x,y,y) * R(z,u,a(w,w,x)).
a(L(x \ y,y \ x,x * x),x,x) = a(y \ x,x,x) \ 1.
a(L(x,y,y \ 1),z,z) = a(x,z,z) * a(a(z,z,x),y,y).
a(x,y,y) * a(a(y,y,x),z,z) = a(L(x,z,z \ 1),y,y).
a(L(R(x,y,y),y,y),z,u) = a(x * a(x * x,y,y),z,u).
L(x,L(R(y,z,z),z,z),u) = L(x,y * a(y * y,z,z),u).
a(x,x,x) * a(L(y,z,u),x,x) = R(a(x * y,x,x),z,u).
a((x \ y) \ 1,y,y) = a(L(y \ x,x \ y,y * y),y,y).
a(L(x \ y,y \ x,x * x),x,x) = a((y \ x) \ 1,x,x).
a(L(L(x,y,y),y,y),z,u) = a(x * a(x * x,y,y),z,u).
L(x,L(L(y,z,z),z,z),u) = L(x,y * a(y * y,z,z),u).
R(a(x * y,x,x),z,u) = a(x * L(y,z,u),x,x).
a(x * L(y,z,u),x,x) = R(a(x * y,x,x),z,u).
a(L(x * y,z,u),x,x) = a(x * L(y,z,u),x,x).
a(L(x * y,z,u),x,x) = a(L(y,z,u) * x,x,x).
a(L(x * (1 / (y \ z)),y \ z,y),x,x) = a((1 / (1 / (z \ y))) * x,x,x).
a(L(x * (1 / y),y,z \ 1),x,x) = a((a(z,y,y \ 1) / y) * x,x,x).
a(L(x \ y,y \ x,x * x),x,x) = a(x \ y,x,x).
(L(x,y,z) \ x) * a(u,w,x) = x * (L(x,y,z) \ a(u,w,x)).
a(a(x,y,z),a(x,y,z),u \ 1) = a(u,a(x,y,z),a(x,y,z)).
L(x,y,z) = L(x,L(y,u,u),L(z,u,u)).
L(x,L(y,z,z),L(u,z,z)) = L(x,y,u).
L(x,y,z) = L(x,y,L(z,y,y)).
L(x,y,L(z,y,y)) = L(x,y,z).
R(1 / x,y,y) \ L(z,x,x \ 1) = R(x,y,y) * z.
L(x,y,L(z,u,u)) = L(x,L(y,u,u \ 1),z).
L(x,L(y,z,z \ 1),u) = L(x,y,L(u,z,z)).
L(x,y * (z \ 1),u) = L(x,z \ y,L(u,z,z)).
L(x,y \ z,L(u,y,y)) = L(x,z * (y \ 1),u).
L(x,y,y) \ x = a(L(y,z,z),L(y,z,z),x).
a(L(x,y,y),L(x,y,y),z) = L(z,x,x) \ z.
L(x,y,z) = L(x,y,L(z,y,y \ 1)).
L(x,y,L(z,y,y \ 1)) = L(x,y,z).
L(x,y,y * z) = L(x,y,(y \ 1) \ z).
L(x,y,(y \ 1) \ z) = L(x,y,y * z).
L(x,y,L(y \ z,y,z)) = L(x,y,y \ z).
L(x,y,(y * z) \ 1) = L(x,y,y \ (z \ 1)).
R(x,y,L((z \ 1) \ u,z * z,z \ 1)) = R(x,y,L(z,z,z * u) * u).
L(x,y,y * (z \ 1)) = L(x,y,(y \ z) \ 1).
L(x,y,(y \ z) \ 1) = L(x,y,y * (z \ 1)).
L(x,L(y,z,z \ 1),a(u,w,z)) = L(x,y,a(u,w,z)).
a(L(x,y,y),L(x,y,y),z) = a(x,x,z).
a(x,L(L(x,y,y \ 1),y,y),z) = a(L(x,y,y \ 1),L(x,y,y \ 1),z).
a(L(x,y,y \ 1),L(x,y,y \ 1),z) = a(x,L(L(x,y,y \ 1),y,y),z).
L(x,y \ z,y \ u) = L(x,z * (y \ 1),(1 / y) * u).
L(x,y * (z \ 1),(1 / z) * u) = L(x,z \ y,z \ u).
R(1 / x,y,y) \ ((1 / x) * z) = R(x,y,y) * (x \ z).
L(x,y,a(y,z,u)) = L(x,a(y,z,u),L(y,u,u \ 1)).
L(x,a(y,z,u),L(y,u,u \ 1)) = L(x,y,a(y,z,u)).
L(x,y \ z,y \ u) = L(x,z * (y \ 1),(y \ 1) * u).
L(x,y * (z \ 1),(z \ 1) * u) = L(x,z \ y,z \ u).
R(x,y,y) * (x \ z) = (1 / x) * (R(1 / x,y,y) \ z).
(1 / x) * (R(1 / x,y,y) \ z) = R(x,y,y) * (x \ z).
L(x,y \ z,y \ u) = L(x,(y \ 1) * z,(y \ 1) * u).
L(x,(y \ 1) * z,(y \ 1) * u) = L(x,y \ z,y \ u).
R(x,y,y) * (x \ z) = (x \ 1) * (R(x \ 1,y,y) \ z).
(x \ 1) * (R(x \ 1,y,y) \ z) = R(x,y,y) * (x \ z).
L(x,(1 / y) * z,(y \ 1) * u) = L(x,y \ z,y \ u).
a(x \ (L(y,z,u) \ w),y,y) = a((x * L(y,z,u)) \ w,y,y).
a((x * L(y,z,u)) \ w,y,y) = a(x \ (L(y,z,u) \ w),y,y).
x * a(y \ (L(x,z,u) \ 1),x,x) = L(x,x,L(x,z,u) * y).
L(x,x,L(x * (y \ 1),z,u)) = x * a(L(x \ y,z,u),x,x).
L(x,x,a(y,z,z)) \ a(z,z,y) = a(z,z,y) * (x \ 1).
L(x,x,a(y,y,z)) \ a(z,y,y) = a(z,y,y) * (x \ 1).
(a(x,y,y) * (z \ 1)) * ((L(z,z,a(y,y,x)) \ 1) \ 1) = a(x,y,y).
(x \ y) \ a(y,x,x) = a(y,x,x) * ((x \ y) \ 1).
a(x,y,y) * ((y \ x) \ 1) = (y \ x) \ a(x,y,y).
a(x * y,x,x) * ((x \ (x * y)) \ 1) = y \ a(x * y,x,x).
L(x,x,L(x,y,z) * u) = L(x,x,(u \ 1) \ L(x,y,z)).
L(x,x,(y \ 1) \ L(x,z,u)) = L(x,x,L(x,z,u) * y).
x * a(L(x \ y,z,u),x,x) = L(x,x,L(y \ x,z,u)).
a(x * y,x,x) * (y \ 1) = y \ a(x * y,x,x).
(((x / (y / (x \ 1))) * y) \ z) \ z = (x / (y / (x \ 1))) * y.
a(x \ 1,(y \ (x \ 1)) \ 1,y \ 1) = ((y / (x / (y \ 1))) * x) \ 1.
L(L(x,x,y) \ z,L(x,x,y),a(y,x,x)) = a(y,x,x) * (x \ z).
a(a(x,y,z),u \ 1,u \ 1) = a(a(x,y,z),u,u).
a(a(x,y,y),z,z) = a(z \ 1,z \ 1,a(y,y,x)).
a(x \ 1,x \ 1,a(y,y,z)) = a(a(z,y,y),x,x).
R(x \ L(x,x,y \ z),y,y \ x) = a(((x / y) * z) \ x,x,x).
R(x \ L(x,x,y \ z),y,y \ x) = a(((y \ x) * z) \ x,x,x).
L(x \ L(x,x,y \ z),y,y \ x) = a(((y \ x) * z) \ x,x,x).
(x \ y) \ (a(x,z,y) * u) = a(x,z,y) * ((x \ y) \ u).
a(x,a(y,z,u),u) = a(x,u,a(y,z,u)).
a(a(x,y,z),z,u) = a(z,a(x,y,z),u).
a(a(x,y,z),z,u) * w = w * a(z,a(x,y,z),u).
((a(x,y,z) * z) * u) / L(z * u,a(x,y,z),a(z,a(x,y,z),u)) = a(a(x,y,z),z,u) * a(x,y,z).
(a(a(x,y,z),z,u) \ 1) * L(z,w,v5) = a(z,a(x,y,z),u) \ L(z,w,v5).
(a(a(x,y,z),z,u) \ 1) \ a(z,w,v5) = a(z,w,v5) * a(z,a(x,y,z),u).
L(a(x,y,z) * u,w,a(z,a(x,y,z),u)) = a(x,y,z) * u.
((x * a(y,z,x)) * u) / (a(y,z,x) * u) = a(x,a(y,z,x),u) * x.
((1 / a(x,y,z)) / u) \ 1 = (1 / u) \ a(x,y,z).
1 / ((1 / x) \ a(y,z,u)) = (1 / a(y,z,u)) / x.
((a(x,y,z) \ 1) / u) \ 1 = (1 / u) \ a(x,y,z).
1 / ((1 / x) \ a(y,z,u)) = (a(y,z,u) \ 1) / x.
((a(x,y,z) \ 1) * u) \ 1 = (1 / L(u \ 1,u,a(x,y,z) \ 1)) \ a(x,y,z).
(1 / L(x \ 1,x,a(y,z,u) \ 1)) \ a(y,z,u) = ((a(y,z,u) \ 1) * x) \ 1.
R((1 / x) \ a(y,z,u),x,x \ 1) = ((a(y,z,u) \ 1) * (x \ 1)) \ 1.
(a(x \ 1,y,y) / z) \ 1 = (1 / z) \ a(x,y,y).
1 / (x \ a(y,z,u)) = (a(y,z,u) \ 1) / (x \ 1).
(a(x,y,z) \ 1) / (u \ 1) = 1 / (u \ a(x,y,z)).
1 / ((1 / x) \ a(y,x,x \ 1)) = a(y,x,x \ 1) \ (1 / x).
(a(x,y,y) / z) \ 1 = (1 / z) \ a(x \ 1,y,y).
(1 / x) \ a(y \ 1,z,z) = (a(y,z,z) / x) \ 1.
((1 / x) \ a(y,z,z)) \ 1 = x \ a(y \ 1,z,z).
(a(x,y,z) \ 1) / (u \ 1) = (a(x,y,z) / u) \ 1.
(R(x,x,y) \ x) / (z \ 1) = 1 / (z \ a(x,x,y)).
((L(x,x,y) \ x) \ 1) / (z \ 1) = 1 / (z \ a(y,x,L(x,x,y))).
(x \ a(y,z,z)) \ 1 = (x \ 1) \ a(y \ 1,z,z).
(x \ 1) \ a(y \ 1,z,z) = (x \ a(y,z,z)) \ 1.
((a(x,y,z) / u) \ 1) \ (a(x,y,z) \ 1) = u \ 1.
(a(x,y,z) / L(x,u,w)) \ 1 = a(x,y,z) \ L(x,u,w).
L(x,x,a(y,z,u)) * (a(y,z,u) \ 1) = (a(y,z,u) / x) \ 1.
(a(x,y,z) \ 1) / (u \ a(w,u,u)) = (a(x,y,z) / L(u,u,w)) \ 1.
(x \ L(x,y,y)) / (z \ 1) = 1 / (z \ a(y,y,x)).
(x \ 1) * ((x \ a(y,z,z)) \ 1) = a(y \ 1,z,z).
(x \ 1) \ (a(y,z,u) \ 1) = (x \ a(y,z,u)) \ 1.
(x \ L(x,y,y)) * L(z,z,a(y,y,x)) = 1 / (z \ a(y,y,x)).
a(L(x \ 1,y,z),u,u) = (w \ 1) * ((w \ a(L(x,y,z),u,u)) \ 1).
(x \ 1) * ((x \ a(L(y,z,u),w,w)) \ 1) = a(L(y \ 1,z,u),w,w).
x \ (a(y,z,u) \ 1) = ((1 / x) \ a(y,z,u)) \ 1.
((1 / x) \ a(y,z,u)) \ 1 = x \ (a(y,z,u) \ 1).
((1 / (x \ 1)) * (a(y,z,u) \ 1)) \ K(w,(x \ a(y,z,u)) \ 1) = T((1 / (x \ 1)) * (a(y,z,u) \ 1),w) \ 1.
(a(x,y,z) \ a(x,u,w)) \ 1 = a(x,u,w) \ a(x,y,z).
(a(x,y,z) / u) \ 1 = (1 / u) \ (a(x,y,z) \ 1).
(1 / x) \ (a(y,z,u) \ 1) = (a(y,z,u) / x) \ 1.
a(x,y,y \ 1) \ (1 / y) = (a(x,y,y \ 1) / (1 / y)) \ 1.
(a(x,y,y \ 1) / (1 / y)) \ 1 = a(x,y,y \ 1) \ (1 / y).
x * (a(y,z,x) \ 1) = (a(y,z,x) / x) \ 1.
(a(x,y,z) / z) \ 1 = z * (a(x,y,z) \ 1).
(a(x,y,z) / z) \ 1 = a(x,y,z) \ z.
L(x,y,a(z,u,w) \ w) = L(x,y,(w \ a(z,u,w)) \ 1).
L(x,y,(z \ a(u,w,z)) \ 1) = L(x,y,a(u,w,z) \ z).
(x \ L(x,y,y)) * L(z,z,a(y,y,x)) = (a(y,y,x) / z) \ 1.
(1 / L(1 / x,x,y)) \ 1 = a(y,x,x \ 1) \ (1 / x).
a(x,y,y \ 1) \ (1 / y) = (1 / L(1 / y,y,x)) \ 1.
a(x,y,y \ 1) \ (1 / y) = L(1 / y,y,x).
L(1 / x,x,y) * a(y,x,x \ 1) = 1 / x.
(x \ (x / y)) * a(x,y,y \ 1) = 1 / y.
x * (1 / y) = (x / y) * a(x,y,y \ 1).
(x / y) * a(x,y,y \ 1) = x * (1 / y).
(x / y) \ (x * (1 / y)) = a(x,y,y \ 1).
(x / (y \ 1)) \ (x * y) = a(x,y \ 1,(y \ 1) \ 1).
a(x,y \ 1,(y \ 1) \ 1) = (x / (y \ 1)) \ (x * y).
(x / (y \ 1)) \ (x * y) = a(x,y \ 1,y).
(x / (y \ 1)) \ (x * y) = a(x,y,y \ 1).
(x / ((x \ y) \ 1)) \ y = a(x,x \ y,(x \ y) \ 1).
a(x,x \ y,(x \ y) \ 1) = (x / ((x \ y) \ 1)) \ y.
(x / ((x \ y) \ 1)) \ y = x \ (y * ((x \ y) \ 1)).
(x \ (y * ((x \ y) \ 1))) \ y = x / ((x \ y) \ 1).
x / ((x \ y) \ 1) = ((x \ y) * (y \ x)) * y.
((x \ y) * (y \ x)) * y = x / ((x \ y) \ 1).
(x * (y \ (y / x))) * y = (y / x) / (((y / x) \ y) \ 1).
(x / y) / (((x / y) \ x) \ 1) = (y * (x \ (x / y))) * x.
((x \ y) * (y \ x)) * T(y,z) = x / ((x \ T(y,z)) \ 1).
(x * ((y / ((y \ x) \ 1)) \ x)) \ x = T((((y \ x) * (x \ y)) \ 1) \ 1,x).
T((((x \ y) * (y \ x)) \ 1) \ 1,y) = (y * ((x / ((x \ y) \ 1)) \ y)) \ y.
(x / y) / (y \ 1) = (y * (x \ (x / y))) * x.
(x * (y \ (y / x))) * y = (y / x) / (x \ 1).
x / T((x / y) / (y \ 1),(y * (x \ (x / y))) \ 1) = ((y * (x \ (x / y))) * x) \ x.
L(x,y * (x \ (x / y)),(y * (x \ (x / y))) \ 1) / ((x / y) / (y \ 1)) = 1 / (y * (x \ (x / y))).
(x / y) / (y \ 1) = x * (y * (x \ (x / y))).
x * (y * (x \ (x / y))) = (x / y) / (y \ 1).
1 / (((x / y) / (y \ 1)) \ x) = (x \ (x / (y * (x \ (x / y))))) \ 1.
(x \ (x / (y * (x \ (x / y))))) \ 1 = 1 / (((x / y) / (y \ 1)) \ x).
(x \ y) * a(x,y,y \ 1) = ((x \ y) / y) / (y \ 1).
R(1 / (x \ y),x \ y,a(x,y,y \ 1)) \ a(x,y,y \ 1) = ((x \ y) / y) / (y \ 1).
a(x,y,(((z * u) \ z) / z) / (z \ 1)) = a(x,y,(z \ (u \ z)) * a(z * u,z,z \ 1)).
a(x,y,(z \ (u \ z)) * a(z * u,z,z \ 1)) = a(x,y,(((z * u) \ z) / z) / (z \ 1)).
x / ((x \ T(y,y \ x)) \ 1) = ((x \ y) * (x / y)) * y.
x / T((x \ y) \ 1,y) = ((x \ y) * (x / y)) * y.
((x \ y) * (x / y)) * y = ((x \ y) \ 1) \ x.
((x \ (x / (x \ y))) * (x / (x / (x \ y)))) * (x / (x \ y)) = ((1 / (1 / (y \ x))) \ 1) \ x.
(x \ L(x,x,y)) / (z \ 1) = 1 / (z \ a(y,x,L(x,x,y))).
1 / (x \ a(y,z,L(z,z,y))) = (z \ L(z,z,y)) / (x \ 1).
1 / (x \ (L(y,y,z) \ y)) = (y \ L(y,y,z)) / (x \ 1).
(x \ L(x,x,y)) / (z \ 1) = 1 / (z \ (L(x,x,y) \ x)).
(x \ L(x,x,y)) / (z \ 1) = 1 / (z \ a(y,x,x)).
L(x,(y \ R((y \ z) \ z,u,u)) * w,v5) = L(x,a(y,u,u) * w,v5).
R(a(x,y,y) / a(y,y,y),z,u) = a(y \ L(x,z,u),y,y).
R(a(x,x,x) \ a(y,x,x),z,u) = a(x \ L(y,z,u),x,x).
R(a(x \ y,x,x),z,u) = a(x \ L(y,z,u),x,x).
a(x \ L(y,z,u),x,x) = R(a(x \ y,x,x),z,u).
a(L(x \ y,z,u),x,x) = a(x \ L(y,z,u),x,x).
a(a(L(x \ y,z,u),x,x),w,v5) = a(a(L(y,z,u),x,x),w,v5).
a(L(x \ y,z,u),x,x) \ x = L(x,x,x \ R(y,z,u)).
x * a(x \ L(y,z,u),x,x) = L(x,x,L(y \ x,z,u)).
L(x,x,x \ R(y,z,u)) = L(x,x,L(x \ y,z,u)).
L(x,x,L(x \ y,z,u)) = L(x,x,x \ R(y,z,u)).
L(x,x,x \ L(y,z,u)) = L(x,x,L(x \ y,z,u)).
L(x,x,L(x \ y,z,u)) = L(x,x,x \ L(y,z,u)).
L(x,x,L(x \ y,y,z \ y)) = L(x,x,x \ (a(z,y,y) * y)).
L(x,x,L(y \ x,z,u)) = L(x,x,L(y,z,u) \ x).
a(L(x,x \ 1,y) \ z,z,z) = a(L(x,x,y \ 1) \ z,z,z).
x \ L(x,a(y \ 1,z,z),a(y,z,z)) = a(a(y \ 1,z,z),a(y \ 1,z,z),x).
a(a(x \ 1,y,y),a(x \ 1,y,y),z) = z \ L(z,a(x \ 1,y,y),a(x,y,y)).
x \ L(x,a(y,z,z),a(z,z,y)) = a(a(y,z,z),a(y,z,z),x).
x * a(a(y,z,z),a(y,z,z),x) = L(x,a(y,z,z),a(z,z,y)).
a(a(x,y,y),a(x,y,y),z) * z = L(z,a(x,y,y),a(y,y,x)).
a(x,y,y) * ((1 / a(x,y,y)) * z) = L(z,a(x,y,y),a(y,y,x)).
a(x,y,y) * ((a(x,y,y) \ 1) * z) = L(z,a(x,y,y),a(y,y,x)).
a(x,y,y) * (a(x \ 1,y,y) * z) = L(z,a(x,y,y),a(y,y,x)).
a(x,y,y) * (z * (R(x,y,y) \ x)) = L(z,a(x,y,y),a(y,y,x)).
L(x,x,L(y \ K(z,x),u,w) \ x) = L(x,x,x * R(y,u,w)).
L(x,x,x * L(y,z,u)) = L(x,x,L(y \ K(w,x),z,u) \ x).
L(x,x,L(y \ K(z,x),u,w) \ x) = L(x,x,x * L(y,u,w)).
L(x,x,L((y \ K(z,x)) \ x,u,w)) = L(x,x,x * L(y,u,w)).
L(x,x,L((y \ 1) \ x,z,u)) = L(x,x,x * L(y,z,u)).
L(x,x,x * L(y,z,u)) = L(x,x,L(x * y,z,u)).
L(x,x,L(x * y,z,u)) = L(x,x,x * L(y,z,u)).
L(x,x,L(y,z,u)) = L(x,x,x * L(x \ y,z,u)).
L(x,x,x * L(x \ y,z,u)) = L(x,x,L(y,z,u)).
L(x,x,L(x * (1 / (y \ z)),y \ z,y)) = L(x,x,x * (1 / (1 / (z \ y)))).
L(x,x,L(y,x,z)) = L(x,x,x * (z \ (x \ (y * z)))).
L(x,x,x * (y \ (x \ (z * y)))) = L(x,x,L(z,x,y)).
R(a(x,y,y) * z,u,a(w,w,x)) = a(x,y,y) * L(z,u,a(w,w,x)).
(a(x,y,y) * (z \ 1)) * L((z \ 1) \ 1,z,a(y,y,x)) = a(x,y,y).
a(x,a(y,z,x),u) * x = (a(y,z,x) * u) \ (u * (x * a(y,z,x))).
(a(x,y,z) * u) \ (u * (z * a(x,y,z))) = a(z,a(x,y,z),u) * z.
(x \ ((y * (x \ (x / y))) \ x)) \ 1 = 1 / (((x / y) / (y \ 1)) \ x).
L(x,(y \ L((y \ z) \ z,u,u)) * w,v5) = L(x,a(y,u,u) * w,v5).
L(a(x,y,y) * z,u,a(w,w,x)) = a(x,y,y) * L(z,u,a(w,w,x)).
a(x,y,y) = (a(x,y,y) * (1 / z)) * L(z,z,a(y,y,x)).
(a(x,y,y) * (1 / z)) * L(z,z,a(y,y,x)) = a(x,y,y).
a(x,a(y,z,x),u) * x = L(x,a(y,z,x),u).
a(x,a(y,z,x),u) \ L(x,a(y,z,x),u) = x.
a(a(x,y,z),z,u) * z = L(z,a(x,y,z),u).
a(x,R(y,z,u),R(y,z,u)) = R(L(y,L(y,z,u),x) \ y,z,u).
R(L(x,L(x,y,z),u) \ x,y,z) = a(u,R(x,y,z),R(x,y,z)).
a(x,R(y,z,u),L(y,z,u)) = R(L(y,L(y,z,u),x) \ y,z,u).
R(L(x,L(x,y,z),u) \ x,y,z) = a(u,R(x,y,z),L(x,y,z)).
a(x,L(y,z,u),L(y,z,u)) = R(L(y,L(y,z,u),x) \ y,z,u).
R(L(x,L(x,y,z),u) \ x,y,z) = a(u,L(x,y,z),L(x,y,z)).
x \ (a(L(y,y,x),z,z) \ x) = 1 / (1 / ((R(y,z,z) * (y \ x)) \ x)).
L(x / (R(y,z,z) \ y),a(z,z,y),R(y,z,z)) = (x * R(y,z,z)) / y.
a(x \ a(x \ y,x,x),z,z) * y = (y / x) * (x * (R(x,z,z) \ x)).
((a(x,y,z) \ 1) * (u \ 1)) \ 1 = T(a(x,y,z) * u,u \ 1).
T(a(x,y,z) * u,u \ 1) = ((a(x,y,z) \ 1) * (u \ 1)) \ 1.
1 / T(a(x,y,z) * u,u \ 1) = (a(x,y,z) \ 1) * (u \ 1).
(a(x,y,z) \ 1) * (u \ 1) = T((a(x,y,z) * u) \ 1,u \ 1).
T((a(x,y,z) * u) \ 1,u \ 1) = (a(x,y,z) \ 1) * (u \ 1).
(a(x,y,z) \ 1) * (u \ 1) = (a(x,y,z) * u) \ 1.
(a(x,y,z) \ 1) * u = (a(x,y,z) * (1 / u)) \ 1.
(a(x,y,z) * (1 / u)) \ 1 = (a(x,y,z) \ 1) * u.
(a(x,y,z) \ 1) * (u \ 1) = (u * a(x,y,z)) \ 1.
(a(x,y,z) * a(x,u,w)) \ 1 = a(x,y,z) \ (a(x,u,w) \ 1).
(a(x,y,z) * (1 / u)) \ 1 = u * (a(x,y,z) \ 1).
(a(x,x,y) * (1 / z)) \ 1 = a(x \ 1,x,y) * z.
(x * a(y,z,u)) \ 1 = (x \ 1) * (a(y,z,u) \ 1).
(x \ 1) * (a(y,z,u) \ 1) = (x * a(y,z,u)) \ 1.
((1 / x) * a(y,z,u)) \ 1 = x * (a(y,z,u) \ 1).
1 / (a(x \ 1,x,y) * z) = a(x,x,y) * (1 / z).
L(a(x,y,z) \ u,a(x,y,z),u \ 1) = u * (a(x,y,z) \ 1).
1 / ((x \ L(x,y,y)) * z) = a(y,y,x) * (1 / z).
(a(x,y,z) \ 1) * u = L(a(x,y,z) \ u,a(x,y,z),u \ 1).
L(a(x,y,z) \ u,a(x,y,z),u \ 1) = (a(x,y,z) \ 1) * u.
R(x \ (a(y,z,z) \ x),y,x) = 1 / (1 / ((R(y,z,z) * (y \ x)) \ x)).
L((R(x,y,y) \ x) \ z,a(y,y,x),R(x,y,y)) = (z * R(x,y,y)) / x.
a(x \ a(x \ y,x,x),z,z) * y = (y / x) * (a(x,z,z) \ x).
a(x \ a(y,x,x),z,z) * y = (y / x) * (a(x,z,z) \ x).
(x / y) * (a(y,z,z) \ y) = x * a(y \ a(x,y,y),z,z).
x * a(y \ a(x,y,y),z,z) = (x / y) * (a(y,z,z) \ y).
R(x \ (a(y,z,z) \ x),y,x) = 1 / (((R(y,z,z) * (y \ x)) \ x) \ 1).
L((R(x,y,y) \ x) \ z,a(y,y,x),L(x,y,y)) = (z * R(x,y,y)) / x.
R(x \ (a(y,z,z) \ x),y,x) = (R(y,z,z) * (y \ x)) \ x.
L((R(x,y,y) \ x) \ z,a(y,y,x),L(x,y,y)) = (z / x) * R(x,y,y).
L(a(x,y,z) \ u,z,a(x,y,z)) = z * ((a(x,y,z) * z) \ u).
L(x * (y \ (a(z,u,x) \ w)),y,a(z,u,x)) != x * v5 | (a(z,u,x) * y) \ w = v5.
L(x * (x \ (a(y,z,u) \ w)),u,a(y,z,u)) = u * ((a(y,z,u) * u) \ w).
a(x,y,z) * (z * ((a(x,y,z) * z) \ u)) = L(u,z,a(x,y,z)).
a(x,y,z) * (z * ((z * a(x,y,z)) \ u)) = L(u,z,a(x,y,z)).
L(x,y,a(z,u,y)) = y * (a(z,u,y) * ((y * a(z,u,y)) \ x)).
x * (a(y,z,x) * ((x * a(y,z,x)) \ u)) = L(u,x,a(y,z,x)).
L(x,y,a(z,u,y)) \ x = a(y,a(z,u,y),(y * a(z,u,y)) \ x).
a(x,a(y,z,x),(x * a(y,z,x)) \ u) = L(u,x,a(y,z,x)) \ u.
L(x * y,a(z,u,w),x) \ (x * y) = x \ (y * L(y \ x,a(z,u,w),x)).
L(x \ (y * (L(y,y * x,z) \ x)),x,y) = a(z,y * x,L(y,y * x,z)).
x \ (y * L(y \ x,x,a(x,z,u))) = a(x,a(x,z,u),L(y,x,a(x,z,u))).
a(x,a(x,y,z),L(u,x,a(x,y,z))) = x \ (u * L(u \ x,x,a(x,y,z))).
L((R(x,y,y) \ x) \ ((a(x,y,y) / z) \ 1),z,a(x \ 1,y,y)) = z.
a((L(x,y,z) \ (u * x)) \ x,x,x) = x \ L(x,x,L(x,y,z) \ u).
x \ L(x,x,L(x,y,z) \ u) = a((u * x) \ (L(x,y,z) * x),x,x).
a((x * y) \ (L(y,z,u) * y),y,y) = y \ L(y,y,L(y,z,u) \ x).
a((x * y) \ (y * L(y,z,u)),y,y) = y \ L(y,y,L(y,z,u) \ x).
x \ L(x,x,L(x,y,z) \ u) = a(u \ (x \ (x * L(x,y,z))),x,x).
a(x \ (y \ (y * L(y,z,u))),y,y) = y \ L(y,y,L(y,z,u) \ x).
a(x \ L(y,z,u),y,y) = y \ L(y,y,L(y,z,u) \ x).
x \ L(x,x,L(x,y,z) \ u) = a(u \ L(x,y,z),x,x).
a(x \ L(y,z,u),y,y) * y = L(y,y,L(y,z,u) \ x).
L(x,x,L(x,y,z) \ u) != w * x | a(u \ L(x,y,z),x,x) = w.
a(a((x \ y) \ 1,x,x) * y,z,u) = a(((x \ y) * (x * x)) / x,z,u).
a(((x \ y) * (x * x)) / x,z,u) = a(a((x \ y) \ 1,x,x) * y,z,u).
a(a((x \ y) \ 1,x,x) * y,z,u) = a(x \ ((x \ y) * (x * x)),z,u).
a(x \ ((x \ y) * (x * x)),z,u) = a(a((x \ y) \ 1,x,x) * y,z,u).
a(a((x \ y) \ 1,x,x) * y,z,u) = a((x * x) * (x \ (x \ y)),z,u).
a(a((x \ y) \ 1,x,x) * y,z,u) = a(L(y,x,x \ 1),z,u).
a(a(x \ (y * 1),y,y) * x,z,u) = a(L(x,y,y \ 1),z,u).
a(a(x \ y,y,y) * x,z,u) = a(L(x,y,y \ 1),z,u).
L(x,a((y \ z) \ 1,y,y) * z,u) = L(x,((y \ z) * (y * y)) / y,u).
L(x,((y \ z) * (y * y)) / y,u) = L(x,a((y \ z) \ 1,y,y) * z,u).
L(x,a((y \ z) \ 1,y,y) * z,u) = L(x,y \ ((y \ z) * (y * y)),u).
L(x,y \ ((y \ z) * (y * y)),u) = L(x,a((y \ z) \ 1,y,y) * z,u).
L(x,a((y \ z) \ 1,y,y) * z,u) = L(x,L(z,y,y \ 1),u).
L(x,a(y \ (z * 1),z,z) * y,u) = L(x,L(y,z,z \ 1),u).
L(x,a(y \ z,z,z) * y,u) = L(x,L(y,z,z \ 1),u).
R(x,y,z \ ((z \ u) * (z * z))) = R(x,y,a((z \ u) \ 1,z,z) * u).
R(x,y,a((z \ u) \ 1,z,z) * u) = R(x,y,L(u,z,z \ 1)).
R(x,y,a(z \ (u * 1),u,u) * z) = R(x,y,L(z,u,u \ 1)).
R(x,y,a(z \ u,u,u) * z) = R(x,y,L(z,u,u \ 1)).
a(x,y,a((z \ u) \ 1,z,z) * u) = a(x,y,((z \ u) * (z * z)) / z).
a(x,y,((z \ u) * (z * z)) / z) = a(x,y,a((z \ u) \ 1,z,z) * u).
a(x,y,a((z \ u) \ 1,z,z) * u) = a(x,y,z \ ((z \ u) * (z * z))).
a(x,y,z \ ((z \ u) * (z * z))) = a(x,y,a((z \ u) \ 1,z,z) * u).
a(x,y,a((z \ u) \ 1,z,z) * u) = a(x,y,(z * z) * (z \ (z \ u))).
a(x,y,a((z \ u) \ 1,z,z) * u) = a(x,y,L(u,z,z \ 1)).
a(x,y,a(z \ (u * 1),u,u) * z) = a(x,y,L(z,u,u \ 1)).
a(x,y,a(z \ u,u,u) * z) = a(x,y,L(z,u,u \ 1)).
a(x,y,a(z * u,z,z) * (u \ 1)) = a(x,y,L(u \ 1,z,z \ 1)).
a(x,y,z \ a(u * z,u,u)) = a(x,y,L(z \ 1,u,u \ 1)).
a(x,y,L(z \ 1,u,u \ 1)) = a(x,y,z \ a(u * z,u,u)).
a(x,y,L(z \ 1,u,u \ 1)) = a(x,y,z \ a(z,u,u)).
a(x,y,z \ a(z,u,u)) = a(x,y,u * ((z * u) \ 1)).
a(((x \ 1) * L(y,y,x)) \ z,u,w) = a(((1 / y) \ (x \ 1)) \ z,u,w).
a(((x \ 1) * L(y,y,x)) \ z,u,w) = a(((y \ 1) \ (x \ 1)) \ z,u,w).
a(((x \ 1) * L(y,y,x)) \ z,u,w) = a(((y \ x) \ 1) \ z,u,w).
a(L(x * (1 / y),y,z \ 1),x,x) = a((y \ a(z,y,y \ 1)) * x,x,x).
a(L(x,y,y \ 1),L(x,y,y \ 1),z) = a(x,x,z).
T((((x \ y) * (y \ x)) \ 1) \ 1,y) = (y * (x \ (y * ((x \ y) \ 1)))) \ y.
L(L(x,x * x,y) \ x,x,x) = a(y,x * x,L(x,x * x,y)).
a(x,y * y,L(y,y * y,x)) = L(y,y * y,x) \ y.
a(x,a(x,y,z),L(u,x,a(x,y,z))) = L(u,x,a(x,y,z)) \ u.
L(x,y,a(y,z,u)) \ x = a(y,a(y,z,u),x).
L(x,y,a(y,z,u)) * a(y,a(y,z,u),x) = x.
a(x,a(x,y,z),u) \ u = L(u,x,a(x,y,z)).
a(x,a(x,y,z),u \ x) = u \ L(u,x,a(x,y,z)).
a(a(x,y,z),x,u) \ u = L(u,x,a(x,y,z)).
a(L(x * (1 / y),y,z \ 1),x,x) = a(L(1 / y,y,z \ y) * x,x,x).
T((((x \ y) * (y \ x)) \ 1) \ 1,y) = (x * (1 / (y \ x))) \ y.
T((x \ y) * (y \ x),y) = (x * (1 / (y \ x))) \ y.
(x * (1 / (y \ x))) \ y = (x \ y) * (y \ x).
((x * y) * (1 / y)) \ x = ((x * y) \ x) * (x \ (x * y)).
((x * y) \ x) * (x \ (x * y)) = ((x * y) * (1 / y)) \ x.
((x * y) \ x) * y = ((x * y) * (1 / y)) \ x.
((x * y) * (1 / y)) \ x = ((x * y) \ x) * y.
((x * (y \ 1)) * y) \ x = ((x * (y \ 1)) \ x) * (y \ 1).
((x * (y \ 1)) \ x) * (y \ 1) = ((x * (y \ 1)) * y) \ x.
((x * (y \ 1)) * y) \ x = y * (x \ (x / y)).
(x * (y \ (y / x))) \ y = (y * (x \ 1)) * x.
(x \ ((x * (y \ 1)) * y)) \ 1 = 1 / (((x / y) / (y \ 1)) \ x).
1 / (((x / y) / (y \ 1)) \ x) = (x \ ((x * (y \ 1)) * y)) \ 1.
a(L(x * (1 / y),y,z \ y),x,x) = a(L(x * (1 / y),y,z \ 1),x,x).
a(L(x * (1 / y),y,z \ 1),x,x) = a(L(x * (1 / y),y,z \ y),x,x).
a(L(x * (1 / y),y,z \ 1),x,x) = a(L(x * (y \ 1),y,z \ y),x,x).
a(L(x * (y \ 1),y,z \ y),x,x) = a(L(x * (1 / y),y,z \ 1),x,x).
a(L(x * (1 / y),y,z \ 1),x,x) = a(L(y \ x,y,z \ y),x,x).
a(L(x \ y,x,z \ x),y,y) = a(L(y * (1 / x),x,z \ 1),y,y).
a(L(x \ y,x,z \ x),y,y) = a(L(y * (x \ 1),x,z \ 1),y,y).
a(L(x \ y,x,z \ x),y,y) = a(L(x \ y,x,z \ 1),y,y).
a(L(x \ y,x,z \ 1),y,y) = a(L(x \ y,x,z \ x),y,y).
a(x,y,z) * ((z \ 1) * u) = (z \ 1) * (a(x,y,z) * u).
((1 / x) / a(y,z,u)) \ 1 = (1 / a(y,z,u)) \ x.
((1 / x) / a(y,z,u)) \ 1 = (a(y,z,u) \ 1) \ x.
(a(x,y,z) \ (1 / u)) \ 1 = (a(x,y,z) \ 1) \ u.
1 / ((a(x,y,z) \ 1) \ u) = a(x,y,z) \ (1 / u).
(a(x,y,z) \ u) \ 1 = (a(x,y,z) \ 1) \ (u \ 1).
(a(x,y,z) \ 1) \ (u \ 1) = (a(x,y,z) \ u) \ 1.
L(x,y \ a(z,y,y),y \ a(z,y,y)) = (L(y,y,z) \ 1) \ (L(y,y,z) \ x).
L(x,a(y,z,z) \ 1,y \ L(y,z,z)) = L(x,a(y,z,z),a(z,z,y)).
L(x,a(y \ 1,z,z),y \ L(y,z,z)) = L(x,a(y,z,z),a(z,z,y)).
L(x,a(y,z,z),a(z,z,y)) = L(x,a(y \ 1,z,z),a(y,z,z)).
L(x,a(y \ 1,z,z),a(y,z,z)) = L(x,a(y,z,z),a(z,z,y)).
x \ R(x,y,y) = a((x \ a(y,z,u)) \ 1,y,y).
a((x \ a(y,z,u)) \ 1,y,y) = x \ R(x,y,y).
a((x \ a(y,z,u)) \ 1,y,y) = a(x,y,y).
a((x \ 1) \ 1,y,y) = a(a(y,y,z) * x,y,y).
a(a(x,x,y) * z,x,x) = a((z \ 1) \ 1,x,x).
a(a(x,x,y) * z,x,x) = a(z,x,x).
a(x,y,y) = a(x * a(y,y,z),y,y).
a(x * a(y,y,z),y,y) = a(x,y,y).
a(x * (y * a(z,z,u)),z,z) = a(x * y,z,z).
a(x,y,L(R(T(z,u),w,w),w,w)) = a(x,y,a(T(z,u) * T(z,u),w,w) * z).
a(L(x * (1 / (y \ z)),y \ z,y),x,x) = a(((1 / (z \ y)) \ 1) * x,x,x).
L(x,x,L(x * (1 / (y \ z)),y \ z,y)) = L(x,x,x * ((1 / (z \ y)) \ 1)).
a(x,y,L(L(T(z,u),w,w),w,w)) = a(x,y,a(T(z,u) * T(z,u),w,w) * z).
a(L(x * (1 / (y \ z)),y \ z,y),x,x) = a((z \ y) * x,x,x).
a((x \ y) * z,z,z) = a(L(z * ((y \ x) \ 1),y \ x,y),z,z).
a(L(x * ((y \ z) \ 1),y \ z,y),x,x) = a((z \ y) * x,x,x).
a((x \ y) * z,z,z) = a(L((y \ x) \ z,y \ x,y),z,z).
a(L((x \ y) \ z,x \ y,x),z,z) = a((y \ x) * z,z,z).
a(x \ (y * z),z,z) = a((x \ y) * z,z,z).
a((x \ (y \ z)) * y,y,y) = a(x \ z,y,y).
a(x \ y,z,z) = a(z * (x \ (z \ y)),z,z).
a(x * (y \ (x \ z)),x,x) = a(y \ z,x,x).
a(x * (y \ z),x,x) = a(y \ (x * z),x,x).
a(x \ (y * z),y,y) = a(y * (x \ z),y,y).
a(x * (y \ (L(x,z,u) \ 1)),x,x) = a(y \ (L(x,z,u) \ x),x,x).
a(x \ (y \ T(z,y \ 1)),(y \ 1) \ (y \ z),(y \ 1) \ (y \ z)) = a(((y \ 1) \ (y \ z)) * (x \ (y \ 1)),(y \ 1) \ (y \ z),(y \ 1) \ (y \ z)).
a(((x \ 1) \ (x \ y)) * (z \ (x \ 1)),(x \ 1) \ (x \ y),(x \ 1) \ (x \ y)) = a(z \ (x \ T(y,x \ 1)),(x \ 1) \ (x \ y),(x \ 1) \ (x \ y)).
a((x \ y) * a(x,z,u),y,y) = a(y * (x \ a(x,z,u)),y,y).
a((x \ y) \ z,x,x) = a(x * (y \ z),x,x).
L(x,x,L(x * (1 / (y \ z)),y \ z,y)) = L(x,x,x * (z \ y)).
L(x,x,x * (y \ z)) = L(x,x,L(x * ((z \ y) \ 1),z \ y,z)).
L(x,x,L(x * ((y \ z) \ 1),y \ z,y)) = L(x,x,x * (z \ y)).
L(x,x,x * (y \ z)) = L(x,x,L((z \ y) \ x,z \ y,z)).
L(x,x,L((y \ z) \ x,y \ z,y)) = L(x,x,x * (z \ y)).
L(x,x,y \ (z * x)) = L(x,x,x * (y \ z)).
L(x,x,x * (y \ (x \ z))) = L(x,x,y \ z).
a(x,y,L(z,z,u \ w)) = a(x,y,L(z,z,u \ (z \ w))).
a(x,y,L(z,z,u \ (z \ w))) = a(x,y,L(z,z,u \ w)).
L(x,x,y \ (z * y)) = L(x,x,L(z,x,y)).
L(x,x,L(y,x,z)) = L(x,x,z \ (y * z)).
L(x,x,L(y,x,z)) = L(x,x,T(y,z)).
L(x,x,L(y,x,z)) = L(x,x,y).
L(x,x,y) \ x = a(L(y,x,z),x,x).
a(L(x,y,z),y,y) = L(y,y,x) \ y.
a(L(x,y,z),y,y) = a(x,y,y).
a(x,y,y) = L(a(x,y,y),y,z).
L(a(x,y,y),y,z) = a(x,y,y).
a(x,y,y) * (y * z) = (a(x,y,y) * y) * z.
(a(x,y,y) * y) * z = a(x,y,y) * (y * z).
(x * y) * a(z,y,y) = x * (y * a(z,y,y)).
x * (y * a(z,x,x)) = (x * a(z,x,x)) * y.
(x * a(y,x,x)) * z = x * (z * a(y,x,x)).
a(x \ 1,y,y) = z \ (L(y,y,x) * (y \ z)).
x \ (L(y,y,z) * (y \ x)) = a(z \ 1,y,y).
a(x,y,a(z,y,y)) = 1.
1 = a(x,y,a(y,y,z)).
a(x,y,a(y,y,z)) = 1.
1 = a(x,y \ 1,a(z,y,y)).
a(x,y \ 1,a(z,y,y)) = 1.
L(a(x,x,y),x,z) = a(x,x,y).
L(a(x,y,y),y \ 1,z) = a(x,y,y).
a(x,x,y) * R(z,x,u) = R(a(x,x,y) * z,x,u).
R(a(x,x,y) * z,x,u) = a(x,x,y) * R(z,x,u).
a(x,x,y) \ R(z,x,u) = R(a(x,x,y) \ z,x,u).
R(a(x,x,y) \ z,x,u) = a(x,x,y) \ R(z,x,u).
(x * y) * a(y,y,z) = x * R(y,y,z).
a(x,x,L(y,x,z)) = a(x,x,y).
a(x,x,L(L(y,x,z),u,w)) = a(x,x,L(y,u,w)).
a(x,x,y) \ L(y,x,z) = L(L(y,x,z),x,x).
a(x,x,y) \ (R(x,x,y) * z) = x * z.
R(x,y,z) \ a(y,y,u) = R(x \ a(y,y,u),y,z).
R(x \ a(y,y,z),y,u) = R(x,y,u) \ a(y,y,z).
a(x,x,x \ ((x \ y) \ z)) = a(x,x,y \ z).
a(x,x,y) \ (z / x) = z / R(x,x,y).
a(x,x,y) * z = R(x,x,y) * (x \ z).
R(x,x,y) * (x \ z) = a(x,x,y) * z.
x * (a(x,x,y) * z) = R(x,x,y) * z.
x * a(y,y,z) = (x / y) * R(y,y,z).
(x / y) * R(y,y,z) = x * a(y,y,z).
R(a(x,x,y) * a(x,x,z),x,y) = R(a(x,x,z) * x,x,y) * (x \ 1).
a(x,y,y) * ((y \ 1) * z) = (a(x,y,y) * (y \ 1)) * z.
(a(x,y,y) * (y \ 1)) * z = a(x,y,y) * ((y \ 1) * z).
a(L(x,y \ 1,z),y,y) = a(x,y,y).
a(L(x,y,z),y \ 1,y \ 1) = a(x,y \ 1,y \ 1).
R(x,x,y) = R(x,x,L(y,x,z)).
R(x,x,L(y,x,z)) = R(x,x,y).
a(x,x,y) * (z * x) = z * R(x,x,y).
R(R(x,x,y) \ x,x,z) = R(x,x,y) \ x.
a(x,x,y) * (x * z) = R(x,x,y) * z.
a(x,x,y) \ z = x * (R(x,x,y) \ z).
x * (R(x,x,y) \ z) = a(x,x,y) \ z.
a(x,x,y) \ (z * (1 / x)) = R(z,x,x \ 1) / R(x,x,y).
R(x,y,y \ 1) / R(y,y,z) = a(y,y,z) \ (x * (1 / y)).
((x * (R(y,y,z) \ 1)) * R(y,y,z)) \ x = R(y,y,z) * (x \ (a(y,y,z) \ (x / y))).
R(x,x,y) * L(z,x,x) = a(x,x,y) * ((1 / x) \ z).
(x \ y) \ (R(x,x,z) \ ((R(x,x,z) \ 1) \ (x \ y))) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
(((x \ y) * R(x,x,z)) / (x \ y)) * ((x \ y) / ((x \ y) * R(x,x,z))) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
((R(x,x,y) \ z) \ z) * (z \ (R(x,x,y) \ z)) = x * (a(x,x,y) * (z \ (z / R(x,x,y)))).
x * (a(x,x,y) * a(R(x,x,y),R(x,x,y),z)) = R(R(x,x,y),R(x,x,y),z).
R(x,R(y,y,z),R(y,y,z) \ 1) \ x = y * (a(y,y,z) * ((x * R(y,y,z)) \ x)).
x * (a(x,x,y) * ((z * R(x,x,y)) \ z)) = R(z,R(x,x,y),R(x,x,y) \ 1) \ z.
L(x,y,z * a(u,u,w)) = L(x,y,(u \ z) * R(u,u,w)).
L(x,y,(z \ u) * R(z,z,w)) = L(x,y,u * a(z,z,w)).
(1 / x) * R(R(x,x,y),R(x,x,y),z) = a(x,x,y) * a(R(x,x,y),R(x,x,y),z).
a(x,x,y) * a(R(x,x,y),R(x,x,y),z) = (1 / x) * R(R(x,x,y),R(x,x,y),z).
R((x / y) * y,y,a(x / y,z,u)) = x * a(y,y,a(x / y,z,u)).
R(x,x,y) \ z = a(x,x,y) \ (x \ z).
a(x,x,y) \ (x \ z) = R(x,x,y) \ z.
x * y != a(x,z,u) \ (w * x) | y = T(a(x,z,u) \ w,x).
R(x,x,y) \ (z * x) = T(a(x,x,y) \ z,x).
(a(x,x,y) \ z) * R(x,x,y) = z * x.
x * R(x \ (y \ R(y,z,u)),x,y) = a(x,x,y) \ (y \ R(y,z,u)).
a(x,x,y) \ (a(R(x,x,y),R(x,x,y),z) \ u) = x * (R(R(x,x,y),R(x,x,y),z) \ u).
a(x \ 1,x,y) = R(R(x,x,y) \ x,x,z).
R(R(x,x,y) \ x,x,z) = a(x \ 1,x,y).
a(x \ 1,x,y) \ z = x * (((R(x,x,y) \ x) * x) \ z).
x * (((R(x,x,y) \ x) * x) \ z) = a(x \ 1,x,y) \ z.
L(x,y,a(z,y,y)) = x.
x * y != L(z * (z \ (a(u,w,x) \ v5)),x,a(u,w,x)) | y = (a(u,w,x) * x) \ v5.
x \ (a(y,x,x) \ z) = (a(y,x,x) * x) \ z.
(a(x,y,y) * y) \ z = y \ (a(x,y,y) \ z).
x = L(x,y,a(y,y,z)).
L(x,y,a(y,y,z)) = x.
L(x,L(y,z,u),a(y,y,L(w,z,u))) = x.
L(x,L(y,y,z),a(y,y,u)) = x.
x * y != L(x * (z \ (a(u,w,x) \ v5)),z,a(u,w,x)) | y = (a(u,w,x) * z) \ v5.
L(x,x,y) \ (a(x,x,z) \ u) = (a(x,x,z) * L(x,x,y)) \ u.
(a(x,x,y) * L(x,x,z)) \ u = L(x,x,z) \ (a(x,x,y) \ u).
x = L(x,L(y,y,z),a(u,y,y)).
L(x,L(y,y,z),a(u,y,y)) = x.
L(x,x,y) \ z = x \ (a(y,x,x) * z).
x \ (a(y,x,x) * z) = L(x,x,y) \ z.
x * y = a(z,x,x) * (L(x,x,z) * y).
a(x,y,y) * (L(y,y,x) * z) = y * z.
L(x,x,y) \ z = a(y,x,x) * (x \ z).
a(x,y,y) * (y \ z) = L(y,y,x) \ z.
x * (L(x,x,y) \ z) = a(y,x,x) * z.
x \ y = L(x,x,z) \ (a(z,x,x) \ y).
L(x,x,y) \ (a(y,x,x) \ z) = x \ z.
x * (a(y,z,x) * (L(x,x,u) \ w)) = a(y,z,x) * (a(u,x,x) * w).
x * y = L(x,x,z) * (a(z,x,x) * y).
L(x,x,y) * (a(y,x,x) * z) = x * z.
x * y = L(x,x,z) * (y * a(z,x,x)).
L(x,x,y) * (z * a(y,x,x)) = x * z.
a(x,y,y) \ (y * z) = L(y,y,x) * z.
x * y != a(z,x,x) * u | L(x,x,z) * y = u.
a(x,y,y) * z != y * u | L(y,y,x) * u = z.
a(x,y,y) \ (L(y,y,x) \ z) = y \ z.
a(x,y,y) * ((y \ 1) * z) = L(y,y,x) \ L(z,y \ 1,y).
L(x,x,y) \ L(z,x \ 1,x) = a(y,x,x) * ((x \ 1) * z).
L(x,x,y) \ z = (x \ z) * a(y,x,x).
(x \ y) * a(z,x,x) = L(x,x,z) \ y.
L(x,L(y,y,z) \ u,x) = L(x,y \ u,x).
a(x,y,y) * z != y * u | L(y,y,x) \ z = u.
x * (L(x,x,y) \ z) = z * a(y,x,x).
(a(x,y,y) * z) / y = z / L(y,y,x).
(a(x,y,y) * z) \ (z * y) = L(y,y,x).
a(x,y,y) * (z / y) = z / L(y,y,x).
L(x,x,y) * (x \ z) = a(y,x,x) \ z.
(a(x,y,y) \ z) / (y \ z) = L(y,y,x).
L(x,y,(z \ u) * L(z,z,w)) = L(x,y,a(w,z,z) \ u).
x * y = a(z,y,y) * (x * L(y,y,z)).
a(x,y,y) * (z * L(y,y,x)) = z * y.
L(x,x,y) * z = x * (a(y,x,x) \ z).
x * (a(y,x,x) \ z) = L(x,x,y) * z.
x / L(y,y,z) = (x / y) * a(z,y,y).
(x / y) * a(z,y,y) = x / L(y,y,z).
a(x,y,y) \ L(z,y \ 1,y) = L(y,y,x) * ((y \ 1) * z).
a(x,y,y) \ ((1 / y) \ z) = L(y,y,x) * L(z,y,y).
a(x,y,y) \ a(L(y,y,x),L(y,y,x),z) = y \ R(L(y,y,x),L(y,y,x),z).
(1 / x) \ a(L(y,y,z),L(y,y,z),x) = L(x,L(y,y,z),(y \ 1) * a(z,y,y)).
L(x,L(y,y,z),(y \ 1) * a(z,y,y)) = (1 / x) \ a(L(y,y,z),L(y,y,z),x).
T(x * a(y,z,z),z) = L(z,z,y) \ (x * z).
L(x,x,y) \ (z * x) = T(z * a(y,x,x),x).
a(x,y,y) \ z = (z / y) * L(y,y,x).
(x / y) * L(y,y,z) = a(z,y,y) \ x.
(a(x,y,y) \ x) * (x \ y) = L(y,y,x).
L(x * (x \ y),x,a(z,u,x \ y)) = a(a(z,u,x \ y),x,x) \ y.
(a(x,L(y,y,z),L(y,y,z)) \ y) / a(z,y,y) = L(L(y,y,z),L(y,y,z),x).
R(a(x,y,z),u,u \ 1) / (u \ a(x,y,z)) = L(u,u,a(x,y,z)).
(a(x,y,y) \ z) * y = z * L(y,y,x).
a(x,y,y) \ (z * y) = z * L(y,y,x).
x * y != z * a(u,x,x) | y = L(x,x,u) \ z.
a(x,y,y) \ a(z,y,y) = L(y,y,z) \ L(y,y,x).
L(x,x,y) \ L(x,x,z) = a(z,x,x) \ a(y,x,x).
(L(x,y,z) * (x \ u)) * a(w,x,x) = (u * L(x,y,z)) / L(x,x,w).
(a(x,y,y) \ z) \ (z * L(y,y,x)) = y.
L(x,x,a(y,x,x) \ y) = L(x,x,y).
L(x,x,y) = ((a(y,x,x) \ y) * x) \ ((a(y,x,x) \ y) * (x * x)).
((a(x,y,y) \ x) * y) \ ((a(x,y,y) \ x) * (y * y)) = L(y,y,x).
T(a(x,y,z) * L(u,u,w),L(u,u,w)) = (a(w,u,u) \ a(x,y,z)) * u.
L(R(x,y,z),L(u,u,w) \ v5,x) = R(L(x,u \ v5,x),y,z).
L(x,x,a(y,z,z)) * u = x * (u * a(a(z,z,y),x,x)).
x * (y * a(a(z,z,u),x,x)) = L(x,x,a(u,z,z)) * y.
a(a(x,x,y) \ 1,z,z) = a(z,z,a(x,x,L(y,z,u))).
a(x,x,a(y,y,L(z,x,u))) = a(a(y,y,z) \ 1,x,x).
x \ (a(y,z,z) \ x) = a(y \ 1,z,z).
x * a(y \ 1,z,z) = a(y,z,z) \ x.
a(x \ 1,y,y) * z = a(x,y,y) \ z.
a(x,x,a(y \ 1,z,z)) \ (a(y,z,z) \ x) = (1 / x) \ (x \ (a(y,z,z) \ x)).
a(x \ 1,y,y) * (a(x,y,y) * z) = z.
(a(x \ 1,y,y) \ 1) * L(z,a(x,y,y),u) = L(a(x,y,y) * z,a(x,y,y),u).
R(a(x \ 1,y,y),x,z) = (R(x,y,y) * (x \ z)) \ z.
(R(x,y,y) * (x \ z)) \ z = R(a(x \ 1,y,y),x,z).
a(x \ 1,y,y) \ z = a(x,y,y) * z.
x * a(L(y \ 1,z,u),w,w) = a(L(y,z,u),w,w) \ x.
x * a(y \ a(z,y,y),u,u) = a(L(y,y,z),u,u) \ x.
x * (R(y,z,z) \ y) = a(y,z,z) \ x.
x * (a(y,z,z) \ 1) = a(y,z,z) \ x.
a(a(x,y,y) \ z,u,w) = a(z * a(x \ y,y,y),u,w).
a(x * a(y \ z,z,z),u,w) = a(a(y,z,z) \ x,u,w).
a(x,y,y) \ (y \ z) = L(y,y,x \ 1) \ z.
L(x,x,y \ 1) \ z = a(y,x,x) \ (x \ z).
((a(x \ 1,y,y) * z) * u) \ (a(x,y,y) \ (z * u)) = a(u,z,a(x \ 1,y,y)).
a(x,x,a(y,z,u)) * w = a(a(y,z,u),x,x) \ w.
a(a(x,y,z),u,u) \ w = a(u,u,a(x,y,z)) * w.
a(x,y,y) * (z * (R(x,y,y) \ x)) = z.
(x \ L(x,x,y)) \ z = a(y,x,x) * z.
a(L(x \ 1,y,z),u,u) \ w = a(L(x,y,z),u,u) * w.
(R(x,y,y) \ x) \ z = a(x,y,y) * z.
a(x,x,a(y,z,u)) \ w = a(a(y,z,u),x,x) * w.
L(a(x,y,y) * z,a(x \ 1,y,y),x \ 1) = (x \ 1) * (R(x \ 1,y,y) \ z).
(a(x,y,y) * z) \ (z * L(y,y,x \ 1)) = y.
(x * y) * L(R(z,u,u) \ z,y,x) = x * (a(z,u,u) \ y).
a(x,y,y) \ (R(x,y,y) \ x) = R(x * x,y,y) \ (x * x).
R(x * x,y,y) \ (x * x) = a(x,y,y) \ (R(x,y,y) \ x).
a(x,y,y) \ (z * R(x,y,y)) = a(y,y,x) * (z * L(x,y,y)).
a(x,y,y) \ (z \ 1) = (z * a(x,y,y)) \ 1.
(x * a(y,z,z)) \ 1 = a(y,z,z) \ (x \ 1).
x = L(x,a(y,z,z),a(z,z,y)).
L(x,a(y,z,z),a(z,z,y)) = x.
L(a(x,y,y) * z,a(y,y,x),L(x,y,y)) = (z / x) * R(x,y,y).
L(a(x,y,y) * ((a(x,y,y) / z) \ 1),z,a(x \ 1,y,y)) = z.
R(1 / (1 / x),x \ 1,(x \ y) \ z) = a(x,x,y \ z) \ x.
x \ L(x,x,x \ (a(y,z,z) * z)) = a(z \ (a(y,z,z) \ x),x,x).
a(T(x * a(y,z,z),z),u,w) = a(R(z,z,y) \ (x * z),u,w).
a(R(x,x,y) \ (z * x),u,w) = a(T(z * a(y,x,x),x),u,w).
x = L(x,a(y,x,x),z).
L(x,a(y,x,x),z) = x.
L(R(x,y,z),a(u,x,x),w) = R(x,y,z).
x = L(x,a(x,x,y),z).
L(x,a(x,x,y),z) = x.
L(x,y,z) = L(L(x,y,z),a(x,x,u),w).
L(L(x,y,z),a(x,x,u),w) = L(x,y,z).
(x * (a(y,z,z) * R(z,u,w))) / (a(y,z,z) * R(z,u,w)) = R(x,a(y,z,z),L(R(z,u,w),a(y,z,z),x)).
R(x,a(y,z,z),L(R(z,u,w),a(y,z,z),x)) = (x * (a(y,z,z) * R(z,u,w))) / (a(y,z,z) * R(z,u,w)).
(x * a(y \ 1,z,z)) \ 1 = a(y,z,z) * (x \ 1).
a(x,x,y) * ((L(a(x,x,y),z,u) \ a(x,x,y)) \ R(a(x,x,y) \ w,x,v5)) = (L(a(x,x,y),z,u) \ a(x,x,y)) \ R(w,x,v5).
L(x,x,y) * (a(z,x,x) \ a(y,x,x)) = L(x,x,z).
L(x,(L(y,y,y) \ L(y,y,z)) * u,w) = L(x,(a(z,y,y) \ 1) * u,w).
R(x,y,(L(z,z,z) \ L(z,z,u)) * w) = R(x,y,(a(u,z,z) \ 1) * w).
a(x,x,a(y,z,u)) \ 1 = a(a(y,z,u),x,x).
(a(x,y,y) \ z) \ 1 = a(x,y,y) * (z \ 1).
a(x,x,a(y,y,L(z,x,u))) = a(a(y \ 1,y,z),x,x).
a(x,x,a(y,y,L(z,x,u))) = a(a(z,y,y),x,x).
L(x,y \ 1,a(z,y,y)) = x.
a(x,y,y) * ((y \ 1) * T(z,y \ 1)) = z * (a(x,y,y) * (y \ 1)).
(L(x,x,y) \ 1) * z = a(y,x,x) * ((x \ 1) * z).
a(x,y,y) * ((y \ 1) * z) = (L(y,y,x) \ 1) * z.
(x \ 1) \ (a(y,x,x) \ z) = (a(y,x,x) * (x \ 1)) \ z.
(a(x,y,y) * (y \ 1)) \ z = (y \ 1) \ (a(x,y,y) \ z).
L(x,((y / (z * y)) \ 1) \ 1,a(u,R(z,z,y),R(z,z,y))) = x.
(L(x,x,y) \ 1) * z = (x \ 1) * (a(y,x,x) * z).
(x \ 1) * (a(y,x,x) * z) = (L(x,x,y) \ 1) * z.
L(x,y,(z \ u) * L(z,z,w)) = L(x,y,u * a(z,z,w)).
x * L(R(y,z,z) \ y,u,w) = a(L(y,u,w),z,z) \ x.
a(L(x,x,y),z,z) \ y = (y / x) * (a(x,z,z) \ x).
a(a(x,y,y) \ z,u,w) = a(a(x \ y,y,y) * z,u,w).
a(a(x \ y,y,y) * z,u,w) = a(a(x,y,y) \ z,u,w).
(L(x,x,y) \ 1) \ z = (x \ 1) \ (a(y,x,x) \ z).
(x \ 1) \ (a(y,x,x) \ z) = (L(x,x,y) \ 1) \ z.
(x \ 1) \ (x \ y) = (L(x,x,z) \ 1) \ (L(x,x,z) \ y).
(L(x,x,y) \ 1) \ (L(x,x,y) \ z) = (x \ 1) \ (x \ z).
L(x,y,z * a(u,u,w)) = L(x,y,a(w,u,u) \ z).
L(x,y,a(z,u,u) \ w) = L(x,y,w * a(u,u,z)).
L(x,y,z * T(a(u,u,w),v5)) = L(x,y,a(w,u,u) \ z).
L(x,y,a(z,u,u) \ z) = L(x,y,L(z,u,u \ 1)).
L(x,y,L(z,u,u \ 1)) = L(x,y,a(z,u,u) \ z).
L(x,x,y * a(z,z,u)) \ x = a(a(u,z,z) \ y,x,x).
L(x,y,a(z,u,u) * w) = L(x,y,w * a(u,u,z \ 1)).
L(x,y,z * a(u,u,w \ 1)) = L(x,y,a(w,u,u) * z).
L(x,y,L(z,z,u \ 1) \ w) = L(x,y,(z \ w) * a(z,z,u)).
L(a(x,y,y) \ z,a(x,y,y),L(x,y,y \ 1)) = x \ ((x / a(x,y,y)) * z).
a(a(x,y,y) \ x,z,u) = a(L(x,y,y \ 1),z,u).
a(L(x,y,y \ 1),z,u) = a(a(x,y,y) \ x,z,u).
a(a(x,y,y) \ x,z,u) = a(L(x,y,y \ x),z,u).
a(L(x,y,y \ x),z,u) = a(a(x,y,y) \ x,z,u).
L(x,y \ a(z,y,y),y \ a(z,y,y)) = (y \ 1) \ (y \ x).
a(a(x,y,y) \ z,u,u) = a(z * a(y,y,x),u,u).
a(x \ (a(y,x,x) \ z),u,u) = a((x \ z) * a(x,x,y),u,u).
R(x,y,y \ 1) / R(y,y,z) = (a(y,y,z) \ x) * (1 / y).
L(x,x,y) \ L(z,x \ 1,x) = (L(x,x,y) \ 1) * z.
L(R(x,y,z),u \ w,x) = L(R(x,y,z),L(u,u,v5) \ w,x).
L(R(x,y,z),L(u,u,w) \ v5,x) = L(R(x,y,z),u \ v5,x).
x * (a(y,z,z) \ u) = a(L(y,u,x),z,z) \ (x * u).
a(L(x,y,z),u,u) \ (z * y) = z * (a(x,u,u) \ y).
(x * (a(y,z,z) \ u)) \ (x * u) = a(L(y,u,x),z,z).
a(L(x,a(x,y,y) \ z,u),y,y) = a(L(x,z,u),y,y).
a((x * x) \ 1,y,y) = a(x,y,y) \ (R(x,y,y) \ x).
a(x,y,y) \ (R(x,y,y) \ x) = a((x * x) \ 1,y,y).
a(x,y,y) \ (R(x,y,y) \ x) = a(x \ (x \ 1),y,y).
a(x,y,y) \ a(x \ 1,y,y) = a(x \ (x \ 1),y,y).
a(x \ 1,y,y) / a(x,y,y) = a(x \ (x \ 1),y,y).
a(x \ (x \ 1),y,y) \ 1 = a(x,y,y) * a(x,y,y).
a((x \ (x \ 1)) \ 1,y,y) = a(x,y,y) * a(x,y,y).
a(x,y,y) * a(x,y,y) = a(x * x,y,y).
a(x,y,y) * R(R(a(x,y,y),z,z),z,z) = R(a(x * x,y,y),z,z).
a(L(x,y,z),u,u) * R(a(x,u,u),y,z) = R(a(x * x,u,u),y,z).
x \ a(y * y,x,x) = L(x,x,y) \ a(y,x,x).
L(x,x,y) \ a(y,x,x) = x \ a(y * y,x,x).
L(x,y,z \ ((u \ 1) \ (u \ z))) = L(x,y,a(z,u \ a(w,u,u),u \ a(w,u,u))).
L(x,y,a(z,u \ a(w,u,u),u \ a(w,u,u))) = L(x,y,z \ ((u \ 1) \ (u \ z))).
x = L(a(y,z,z) * ((a(y,z,z) / x) \ 1),x,a(z,z,y)).
L(a(x,y,y) * ((a(x,y,y) / z) \ 1),z,a(y,y,x)) = z.
L(a(x,y,y) * ((a(x,y,y) / (((z * u) / z) * T(u,z))) \ 1),((z * u) / z) * T(u,z),a(y,y,x)) = u * u.
a(T(a(x,x,y) \ z,x),u,w) = a(T(z * a(y,x,x),x),u,w).
L(x,((y / (z * y)) \ 1) \ 1,a(u,R(z,z,y),L(z,z,y))) = x.
a(T(x * a(y,z,z),z),u,w) = a(a(z,z,y) \ x,u,w).
a(a(x,x,y) \ z,u,w) = a(z * a(y,x,x),u,w).
a(a(x \ 1,x \ K(y,z),u) \ w,v5,v6) = a(w * a(u,x \ K(y,z),x \ K(y,z)),v5,v6).
a(x * a(y,z \ K(u,w),z \ K(u,w)),v5,v6) = a(a(z \ 1,z \ K(u,w),y) \ x,v5,v6).
a(T(a(x,x,y) * z,u) * a(y,x,x),w,v5) = a(z,w,v5).
a(K(x,y) * (a(z,z,u) \ (a(z,z,u) \ 1)),w,v5) = a((a(z,z,u) \ K(x,y)) * a(u,z,z),w,v5).
a(x * (a(x,x,y) \ z),u,w) = a((x * z) * a(y,x,x),u,w).
a((x * y) * a(z,x,x),u,w) = a(x * (a(x,x,z) \ y),u,w).
a(T(a(x,y,y) * (a(y,y,x) * z),u),w,v5) = a(z,w,v5).
a(a(x,y,y) * (a(y,y,x) * z),u,w) = a(z,u,w).
L(x,((y / (z * y)) \ 1) \ 1,a(u,L(z,z,y),L(z,z,y))) = x.
a(x * (y * a(z,x,x)),u,w) = a(x * (a(x,x,z) \ y),u,w).
a(x * (a(x,x,y) \ z),u,w) = a(x * (z * a(y,x,x)),u,w).
x = L(x,y / (z * y),a(u,L(z,z,y),L(z,z,y))).
L(x,y / (z * y),a(u,L(z,z,y),L(z,z,y))) = x.
x = L(x,(y * z) \ z,a(u,L(y,y,z),L(y,y,z))).
L(x,(y * z) \ z,a(u,L(y,y,z),L(y,y,z))) = x.
a(x,x,L(y,z,z \ 1)) / (z \ a(x,x,y)) = L(z,z,a(x,x,y)).
(x * L(y,y,x)) \ ((a(x,y,y) \ x) * (y * y)) = L(y,y,x).
(x * L(y,y,x)) * L(y,y,x) = (a(x,y,y) \ x) * (y * y).
((x * (y * y)) / y) * L(y,y,x) = (a(x,y,y) \ x) * (y * y).
(a(x,y,y) \ x) * (y * y) = a(x,y,y) \ (x * (y * y)).
a(x,y,y) \ (x * (y * y)) = (a(x,y,y) \ x) * (y * y).
(a(x,y,y) \ x) * (y * y) = x * (a(x,y,y) \ (y * y)).
(a(x,y,y) \ x) * (y * y) = x * (y * L(y,y,x)).
(x * L(y,y,x)) \ (x * (y * L(y,y,x))) = L(y,y,x).
L(x,x,y) = L(T(x,L(x,x,y)),L(x,x,y),y).
L(T(x,L(x,x,y)),L(x,x,y),y) = L(x,x,y).
L(x,L(x,x,y),y) = L(x,x,y).
L(L(x,x,y),z,u) = L(L(x,z,u),L(x,x,y),y).
L(L(x,y,z),L(x,x,u),u) = L(L(x,x,u),y,z).
L(x,x,a(y,y,z)) = (a(y,y,z) / x) \ a(y,y,L(z,x,x \ 1)).
(a(x,x,y) / z) \ a(x,x,L(y,z,z \ 1)) = L(z,z,a(x,x,y)).
R(x,y,a(x / y,z,u)) = x * a(y,y,a(x / y,z,u)).
x * a(y,y,a(x / y,z,u)) = R(x,y,a(x / y,z,u)).
x * a(y,y,a(x / y,z,u)) = R(x,y,a(y \ x,z,u)).
x * a(y,y,a(y \ x,z,u)) = R(x,y,a(y \ x,z,u)).
a(x,x,a(x \ y,z,u)) * y = R(y,x,a(x \ y,z,u)).
L(x,y,a(y \ x,z,u)) = x * a(y,y,a(y \ x,z,u)).
x * a(y,y,a(y \ x,z,u)) = L(x,y,a(y \ x,z,u)).
L(x,y,a(y \ x,z,u)) = a(y,y,a(y \ x,z,u)) * x.
a(x,x,a(x \ y,z,u)) * y = L(y,x,a(x \ y,z,u)).
x * T(R(y,z,u) / (x * y),x) = a(x,x,y) \ (y \ R(y,z,u)).
a(x,x,y) \ (y \ R(y,z,u)) = x * T(R(y,z,u) / (x * y),x).
a(x,x,y) \ (y \ R(y,z,u)) = (R(y,z,u) / (x * y)) * x.
(R(x,y,z) / (u * x)) * u = x \ (a(u,u,x) \ R(x,y,z)).
x \ (a(y,y,x) \ R(x,z,u)) = (R(x,z,u) / (y * x)) * y.
x * ((R(x,y,z) / (u * x)) * u) = a(u,u,x) \ R(x,y,z).
L(x,y,y) * (x \ R(x,z,u)) = x * ((R(x,z,u) / (y * x)) * y).
x * ((R(x,y,z) / (u * x)) * u) = L(x,u,u) * (x \ R(x,y,z)).
L(x,y,a(z,u,y \ x)) = a(a(z,u,y \ x),y,y) \ x.
a(a(x,y,z \ u),z,z) \ u = L(u,z,a(x,y,z \ u)).
(x * L(y,z,u)) / L(y,y,w) = L(y,z,u) * ((y \ x) * a(w,y,y)).
L(x,y,z) * ((x \ u) * a(w,x,x)) = (u * L(x,y,z)) / L(x,x,w).
x \ L(x,x,L(x \ y,y,z \ y)) = a(y \ (a(z,y,y) \ x),x,x).
a(x,y,y) * (z * (y \ 1)) = z * (a(x,y,y) * (y \ 1)).
a(x,y,y) * (z * (y \ 1)) = z * (L(y,y,x) \ 1).
(a(x,y,y) \ z) * (L(y,y,x) \ 1) = z * (y \ 1).
(x * (y \ 1)) / (L(y,y,z) \ 1) = a(z,y,y) \ x.
x / (L(y,y,z) \ 1) = a(z,y,y) \ (x / (y \ 1)).
a(x,y,y) \ (z / (y \ 1)) = z / (L(y,y,x) \ 1).
a(L(x,y,z),u,u) * a(L(x,y,z),u,u) = R(a(x * x,u,u),y,z).
L(x,y,z) * (L(x,x,u) \ w) = (w * L(x,y,z)) / L(x,x,u).
(x * L(y,z,u)) / L(y,y,w) = L(y,z,u) * (L(y,y,w) \ x).
L(x \ L(x,x,x \ y),y,z \ y) = a(y \ (a(z,y,y) \ x),x,x).
R(a(x * x,y,y),z,u) = a(L(x,z,u) * L(x,z,u),y,y).
a(L(x,y,z) * L(x,y,z),u,u) = R(a(x * x,u,u),y,z).
L(a(x \ y,y,y),x,z \ x) = a(x \ (a(z,x,x) \ y),y,y).
a(x \ (a(y,x,x) \ z),z,z) = L(a(x \ z,z,z),x,y \ x).
R(a(x,x,y) * x,x,y) * (x \ 1) = a(x,x,y) * a(x,x,y).
R(R(x,x,y),x,y) * (x \ 1) = a(x,x,y) * a(x,x,y).
a(x,x,y) * a(x,x,y) = x \ R(R(x,x,y),x,y).
x \ R(R(x,x,y),x,y) = a(x,x,y) * a(x,x,y).
T(a(x,y,z) * L(u,u,a(x,y,z)),L(u,u,a(x,y,z))) = R(a(x,y,z),u,u \ 1) * u.
L(x,(y \ L(R(y,y,y),y,z)) * u,w) = L(x,(a(z,y,y) \ 1) * u,w).
R(x,y,(z \ L(R(z,z,z),z,u)) * w) = R(x,y,(a(u,z,z) \ 1) * w).
a(x,y,a(T(z,u) * T(z,u),w,w) * z) = a(x,y,L(L(z,w,w),w,w)).
a(x,y,L(L(z,u,u),u,u)) = a(x,y,a(T(z,w) * T(z,w),u,u) * z).
a(x,y,L(L(z,u,u),u,u)) = a(x,y,a(z * z,u,u) * z).
x * (a(x,x,y) * a(R(x,x,y),L(x,x,y),z)) = R(R(x,x,y),R(x,x,y),z).
a(x,y,y) \ a(L(y,y,x),L(y,y,x),z) = y \ L(R(y,L(y,y,x),z),y,x).
L(L(x,x,y),L(x,x,y),z) = a(y,x,x) \ (a(z,L(x,x,y),L(x,x,y)) \ x).
a(x,y,y) \ (a(z,L(y,y,x),L(y,y,x)) \ y) = L(L(y,y,x),L(y,y,x),z).
x \ ((x / a(x,y,y)) * z) = L(a(x,y,y) \ z,x,a(x,y,y)).
L(a(x,y,y) \ z,x,a(x,y,y)) = x \ ((x / a(x,y,y)) * z).
x \ ((x / a(x,y,y)) * z) = x * ((a(x,y,y) * x) \ z).
x \ ((x / a(x,y,y)) * z) = x * (R(x,y,y) \ z).
x \ ((a(x,y,y) \ x) * z) = x * (R(x,y,y) \ z).
x * (x * (R(x,y,y) \ z)) = (a(x,y,y) \ x) * z.
x * (a(x,x,y) * a(L(x,x,y),L(x,x,y),z)) = R(R(x,x,y),R(x,x,y),z).
R(R(x,x,y),R(x,x,y),z) = R(x,x,y) * a(L(x,x,y),L(x,x,y),z).
R(x,x,y) * a(L(x,x,y),L(x,x,y),z) = R(R(x,x,y),R(x,x,y),z).
R(R(x,x,y),L(x,x,y),z) = R(x,x,y) * a(L(x,x,y),L(x,x,y),z).
R(x,x,y) * a(L(x,x,y),L(x,x,y),z) = R(R(x,x,y),L(x,x,y),z).
a(x,y,z) * (a(y,z,a(x,y,z)) * z) = y \ (x \ ((x * y) * z)).
x \ (y \ ((y * x) * z)) = z * (a(x,z,a(y,x,z)) * a(y,x,z)).
x * (a(y,x,a(z,y,x)) * a(z,y,x)) = y \ (z \ ((z * y) * x)).
R(x * R(y,z,z),a(y,z,z),y) = (x * a(y,z,z)) * (a(y,z,z) \ R(y,z,z)).
(x * a(y,z,z)) * (a(y,z,z) \ R(y,z,z)) = R(x * R(y,z,z),a(y,z,z),y).
a(x,y,z * L(a(z,u,u) * u,w,L(u,u,z \ u))) = a(x,y,R(z,u,u) * u).
x * (T(y,x) * (R(y,z,z) \ y)) = y * (x * a(y \ a(x,y,y),z,z)).
x * (y * a(x \ a(y,x,x),z,z)) = y * (T(x,y) * (R(x,z,z) \ x)).
x * (y * a(x \ a(y,x,x),z,z)) = y * (x * (R(x,z,z) \ T(x,y))).
x * (y * a(x \ a(y,x,x),z,z)) = y * (x * (a(x,z,z) \ K(x,y))).
x * (y * a(x \ a(y,x,x),z,z)) = y * T(a(x,z,z) \ x,y).
x * (y * a(x \ a(y,x,x),z,z)) = (a(x,z,z) \ x) * y.
x * ((y / x) * (a(x,z,z) \ x)) = (a(x,z,z) \ x) * y.
x * y != (a(x,z,z) \ x) * u | y = x * (R(x,z,z) \ u).
(x / y) * (a(y,z,z) \ y) = y * (R(y,z,z) \ x).
a(L(x,x,y),z,z) \ y = x * (R(x,z,z) \ y).
(x \ 1) / ((y * (R(y,z,z) \ x)) \ 1) = (x \ 1) * ((x \ a(L(y,y,x),z,z)) \ 1).
(x \ 1) * ((x \ a(L(y,y,x),z,z)) \ 1) = (x \ 1) / ((y * (R(y,z,z) \ x)) \ 1).
a(L(x \ 1,x,y \ 1),z,z) \ y = (x \ 1) * (R(x \ 1,z,z) \ y).
(x * (R(x,y,y) \ z)) \ 1 = a(L(x,x,z),y,y) * (z \ 1).
a(L(x,x,y),z,z) * (y \ 1) = (x * (R(x,z,z) \ y)) \ 1.
(x \ 1) * (R(x \ 1,y,y) \ z) = a(L(x,x,z \ 1),y,y) * z.
a(L(x,x,y \ 1),z,z) * y = (x \ 1) * (R(x \ 1,z,z) \ y).
L(x,x \ 1,(a(y,z,u) \ 1) \ 1) \ a(y,z,u) = ((a(y,z,u) \ 1) * x) \ 1.
a(a(x \ 1,y,y),a(x \ 1,y,y),z) = z \ L(z,a(x,y,y),a(y,y,x)).
a(a(x \ 1,y,y),a(x \ 1,y,y),z) = a(a(x,y,y),a(x,y,y),z).
L(a(a(x,y,y),a(x,y,y),z) * z,a(y,y,x),a(x \ 1,y,y)) = z.
L(L(x,a(y,z,z),a(z,z,y)),a(z,z,y),a(y \ 1,z,z)) = x.
x = L(L(x,a(y,z,z),a(z,z,y)),a(z,z,y),a(z,z,y)).
L(L(x,a(y,z,z),a(z,z,y)),a(z,z,y),a(z,z,y)) = x.
L(x,a(y,y,z),a(y,y,z)) = x.
a(x \ 1,x,y) \ (a(x,x,y) \ z) = z.
(x \ L(x,y,y)) * z = a(y,y,x) \ z.
x * (y \ L(y,z,z)) = a(z,z,y) \ x.
a(x \ 1,x,y) * z = a(x,x,y) \ z.
x * a(y \ 1,y,z) = a(y,y,z) \ x.
x \ (a(y,y,z) \ x) = a(y \ 1,y,z).
(x / (y \ L(y,z,z))) \ (1 / (a(z,z,y) \ (x \ 1))) = a((y \ L(y,z,z)) \ x,y \ L(y,z,z),x \ 1).
a((x \ L(x,y,y)) \ z,x \ L(x,y,y),z \ 1) = (z / (x \ L(x,y,y))) \ (1 / (a(y,y,x) \ (z \ 1))).
K(x,y) * (a(z,z,x) \ u) = (x \ L(T(x,y),z,z)) * u.
(x \ L(T(x,y),z,z)) * u = K(x,y) * (a(z,z,x) \ u).
a(x,x,y \ 1) \ z = z * (y * L(y \ 1,x,x)).
x * (y * L(y \ 1,z,z)) = a(z,z,y \ 1) \ x.
a(x,x,y) \ ((z * u) * a(y \ L(y,x,x),z,u)) = ((y \ L(y,x,x)) * z) * u.
L((a(x,x,y) \ (y \ L(y,x,x))) \ z,y \ L(y,x,x),(y \ L(y,x,x)) \ 1) = (y \ L(y,x,x)) \ ((y \ L(y,x,x)) \ z).
(R(x,x,y) \ x) * z = a(x,x,y) \ z.
a(x,x,y) \ z = z * (R(x,x,y) \ x).
x * (R(y,y,z) \ y) = a(y,y,z) \ x.
a(x,x \ 1,y) * z = a(x \ 1,x \ 1,y) \ z.
a(x \ 1,x \ 1,y) \ z = a(x,x \ 1,y) * z.
x \ (a(y,y,z) \ (y \ x)) = R(x \ (y \ x),y,z).
a(x,x,y) \ (z * K(u,w)) = z * (a(x,x,y) \ K(u,w)).
a(a(x,x \ 1,y) * z,u,w) = a(a(x,x,y) \ z,u,w).
a(x,y,a(z,z \ 1,u) * w) = a(x,y,a(z,z,u) \ w).
a(x \ L(x,y,y),z,u) = (u * z) \ ((x \ L(x,y,y)) \ ((a(y,y,x) \ z) * T(u,z))).
(x * y) \ ((z \ L(z,u,u)) \ ((a(u,u,z) \ y) * T(x,y))) = a(z \ L(z,u,u),y,x).
a(x,x,y) \ L(z,z,a(x,x,y)) = (a(x,x,y) / z) \ 1.
1 / (a(x,x,y) \ z) = a(x,x,y) * (1 / z).
x * a(y,y \ 1,z) = a(y \ 1,y \ 1,z) \ x.
a(x \ 1,x \ 1,y) \ z = z * a(x,x \ 1,y).
a(x * ((y \ (z \ y)) * z),u,w) = a(a(z,z,y) \ x,u,w).
a(x,y,((z \ (u \ z)) * u) * w) = a(x,y,a(u,u,z) \ w).
R(a(x \ 1,x,y),z,u) * (u * z) = (a(x,x,y) \ z) * T(u,z).
a(x,x,y) \ L(z \ 1,z,a(x \ 1,x,y)) = a(x \ 1,x,y) / T(z,z \ 1).
L(x \ L(x,y,y),z,u) * w = a(y,y,L(x,z,u)) \ w.
a(x,x,L(y,z,u)) \ w = w * R(y \ L(y,x,x),z,u).
x * R(y \ L(y,z,z),u,w) = a(z,z,L(y,u,w)) \ x.
a(x,x,L(y,x,z)) \ z = (a(x,x,y) \ x) * (x \ z).
x * (a(y,y,x) \ (L(x,y,y) \ z)) = L(z,x,a(x,y,y)).
x * y != a(z,u,w) \ x | y = (x * a(z,u,w)) \ x.
a(x \ 1,x,y) = (z * a(x,x,y)) \ z.
(x * a(y,y,z)) \ x = a(y \ 1,y,z).
x * R(a(y \ 1,y,z),u,w) = a(y,y,L(z,u,w)) \ x.
x * L(R(y,y,z) \ y,u,w) = a(y,y,L(z,u,w)) \ x.
x * L(y \ L(y,z,z),u,w) = a(z,z,L(y,u,w)) \ x.
a(x,x,L(y,y,z)) \ z = L(y,x,x) * (y \ z).
a(x,x,L(y,z,u)) \ (z * u) = (a(x \ 1,x,y) * z) * u.
a(x,x,L(L(y,z,u),w,v5)) \ a(x,x,L(y,w,v5)) = R(L(a(x,x,y),z,u) \ a(x,x,y),w,v5).
a(x \ 1,x,y) \ z = z * a(x,x,y).
K(x,y) * (a(z,z,u) \ (y \ w)) = (R(z,z,u) \ z) * (T(y,x) \ w).
L(x,a(y,y,z) \ u,w) = L(x,(z \ L((z \ v5) \ v5,y,y)) * u,w).
L(x,(y \ L((y \ z) \ z,u,u)) * w,v5) = L(x,a(u,u,y) \ w,v5).
((1 / x) \ a(y,y,z)) \ x = a(y \ 1,y,L(z,x,x)).
a(x,x \ 1,y) \ z = z * a(x \ 1,x \ 1,y).
x * a(y \ 1,y \ 1,z) = a(y,y \ 1,z) \ x.
L(R(x,x,y) \ x,z,u) \ w = w * a(x,x,L(y,z,u)).
x * (((R(x,x,y) \ x) * x) \ z) = z * a(x,x,y).
1 / (a(x,x,y) \ (z \ 1)) = a(x,x,y) * z.
x / (L(y,z,z) * (y \ x)) = a(z,z,L(y,y,x)).
a(x,x,L(L(y,x,x \ 1),L(y,x,x \ 1),z)) \ z = y * (L(y,x,x \ 1) \ z).
(x * y) / (L(x,z,z) * y) = a(z,z,L(x,x,x * y)).
a(x,x,L(y,y,y * z)) = (y * z) / (L(y,x,x) * z).
a(x \ 1,x \ K(y,z),u) \ w = a(x,x \ 1,u) * w.
x \ (R(y,y,z) \ x) = R(x \ (y \ x),y,z).
R(x \ (y \ x),y,z) = x \ (R(y,y,z) \ x).
x * ((a(x,x,y) \ x) \ z) = z * a(x,x,y).
x * y != z * a(x,u,w) | y = (x \ z) * a(x,u,w).
(a(x,x,y) \ x) \ z = (x \ z) * a(x,x,y).
(x * a(y,y,z)) \ (x * y) = a(y,y,z) \ y.
L(x,L(y,y \ 1,y * z) \ u,w) = L(x,(y \ u) * a(y,y,z),w).
L(L(a(x,x,y) \ x,z,u),a(x,x,y),w) = L(a(x,x,y) \ x,z,u).
a(x,x,y) \ z = (a(x,x,y) \ x) * (x \ z).
(a(x,x,y) \ x) * (x \ z) = a(x,x,y) \ z.
x * (a(x,x,y) \ z) = (a(x,x,y) \ x) * z.
(a(x,x,y) \ x) * z = x * (a(x,x,y) \ z).
((x \ 1) * a(x,x \ 1,y)) * z = (x \ 1) * (a(x \ 1,x \ 1,y) \ z).
(x \ 1) * (a(x \ 1,x \ 1,y) \ z) = ((x \ 1) * a(x,x \ 1,y)) * z.
((1 / x) \ a(y,y,x \ 1)) \ x = a(y \ 1,y,x \ 1).
a(x,x,L(y,y,y * z)) = (z * L(y,x,x)) \ (z * y).
(x * L(y,z,z)) \ (x * y) = a(z,z,L(y,y,x)).
a(x,x,L(y,y,z)) = z \ (y * (L(y,x,x) \ z)).
x \ (y * (L(y,z,z) \ x)) = a(z,z,L(y,y,x)).
x * a(y,y,L(z,z,x)) = z * (L(z,y,y) \ x).
L(x,y,y) * a(y,y,L(R(x,z,u),R(x,z,u),L(x,y,y))) = R(x,z,u) * L(R(x,z,u) \ x,y,y).
(x * (L(x,y,y) \ z)) \ z = a(y \ 1,y,L(x,x,z)).
L(R(x * (L(x,y,y) \ 1),z,u) \ (x * (L(x,y,y) \ 1)),a(y \ 1,y,L(x,x,1)),u * z) = a((x * (L(x,y,y) \ 1)) \ 1,z,u).
x * (a(y,y,z) \ K(u,w)) = (a(y,y,z) \ x) * K(u,w).
(a(x,x,y) \ z) * K(u,w) = z * (a(x,x,y) \ K(u,w)).
a(a(x,x \ 1,y) * z,u,w) = a(z * a(y,x,x),u,w).
L(L(x \ L(x,y,y),z,u) * 1,w,a(y,v5,v6)) = a(y,y,L(x,z,u)) \ 1.
x \ (a(y,y,L(z,u,w)) \ x) = R(z \ L(z,y,y),u,w).
R(x \ L(x,y,y),z,u) = w \ (a(y,y,L(x,z,u)) \ w).
x * (a(y,y,x) \ z) = L(L(x,y,y) * z,x,a(x,y,y)).
L(L(x,y,y) * z,x,a(x,y,y)) = x * (a(y,y,x) \ z).
a(x,x,L(y,z,z)) \ (z \ 1) = z \ a(x \ 1,x,y).
a(x,x,L(y,z,z)) \ (1 / z) = a(x \ 1,x,y) / z.
a(x \ a(y \ 1,y,z),u,w) = a((x \ 1) * a(L(z,x,x),y,y),u,w).
a((x \ 1) * a(L(y,x,x),z,z),u,w) = a(x \ a(z \ 1,z,y),u,w).
x * L(L(R(y,y,z) \ y,u,w),v5,v6) = a(y,y,L(L(z,u,w),v5,v6)) \ x.
R(1 / (1 / L(R(x,x,y) \ x,z,u)),w,v5) * a(x,x,L(y,z,u)) = (L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5).
((a(x,y,z) \ 1) \ a(u,u,a(x,y,z) \ 1)) \ a(x,y,z) = a(u \ 1,u,a(x,y,z) \ 1).
L(L(x,y,y) * (a(a(y,y,x) \ 1,z,u) \ a(y,y,x)),x,a(x,y,y)) = x * (a(a(y,y,x) \ 1,z,u) \ 1).
a(x * ((y \ (z \ y)) * z),u,w) = a(x * a(y,z,z),u,w).
a(x,x,L(y,z,u)) \ (z * u) = (a(x,x,y) \ z) * u.
a(x \ 1,x,L(y,z,u)) * (u * z) = (a(x,x,y) \ z) * T(u,z).
(a(x,x,y) \ z) * T(u,z) = a(x,x,L(y,z,u)) \ (u * z).
a(x,x,L(y,z,u)) \ (u * z) = (a(x,x,y) \ z) * T(u,z).
a(x,x,L(y,z,u)) \ (u * z) = u * (a(x,x,y) \ z).
(x * (a(y,y,z) \ u)) \ (x * u) = a(y,y,L(z,u,x)).
a(x * (a(y,y,z) \ u),w,v5) = a((x * u) * a(L(z,u,x),y,y),w,v5).
a((x * y) * a(L(z,y,x),u,u),w,v5) = a(x * (a(u,u,z) \ y),w,v5).
a(x,x,L(y,a(x,x,y) \ z,u)) = a(x,x,L(y,z,u)).
K(x,y) * (R(y,y,z) \ u) = (R(y,y,z) \ y) * (T(y,x) \ u).
(R(x,x,y) \ x) * (T(x,z) \ u) = K(z,x) * (R(x,x,y) \ u).
(R(x,x,y) \ x) * (T(x,z) \ u) = R(T(x,z),x,y) \ u.
R(T(x,y),x,z) \ u = a(x,x,z) \ (T(x,y) \ u).
a(x,x,y) \ (T(x,z) \ u) = R(T(x,z),x,y) \ u.
L(x,a(y,y,z) \ u,w) = L(x,a(z,y,y) * u,w).
L(x,y,z) = L(x,a(u,w,w) * (a(w,w,u) * y),z).
L(x,a(y,z,z) * (a(z,z,y) * u),w) = L(x,u,w).
L(x,a(y,y,z) \ (u \ w),v5) = L(x,T(a(z,y,y) * (w / u),u),v5).
L(x,T(a(y,z,z) * (u / w),w),v5) = L(x,a(z,z,y) \ (w \ u),v5).
a(x,x,L(y,a(y,x,x) * z,u)) = a(x,x,L(y,z,u)).
L(x,(y \ z) * a(y,y,u),w) = L(x,L(y,y \ 1,u) \ z,w).
L(x,L(y,y \ 1,z) \ u,w) = L(x,(y \ u) * a(y,y,z),w).
L(x,T(a(y,z,z) * (u / z),z),w) = L(x,R(z,z,y) \ u,w).
L(x,T(y / L(z,z,u),z),w) = L(x,R(z,z,u) \ y,w).
L(x,L(y,y,z) \ u,w) = L(x,R(y,y,z) \ u,w).
a(x \ a(y,z,z),u,w) = a(x \ a(z \ 1,z,y),u,w).
a(x \ a(y \ 1,y,z),u,w) = a(x \ a(z,y,y),u,w).
a(x \ L(L(x,y,y),y,y),z,u) = a(a(y,y,x) \ a(x,y,y),z,u).
a(a(x,x,y) \ a(y,x,x),z,u) = a(y \ L(L(y,x,x),x,x),z,u).
a(x \ L(L(x,y,y),y,y),z,u) = a(a(x,y,y) * a(x,y,y),z,u).
a(x \ L(L(x,y,y),y,y),z,u) = a(a(x * x,y,y),z,u).
a(x * (y * a(z,u,u)),w,v5) = a(x * (a(u,u,z) \ y),w,v5).
a(x * (a(y,y,z) \ u),w,v5) = a(x * (u * a(z,y,y)),w,v5).
(x \ 1) * (a(x \ 1,x \ 1,y) \ z) = R(1 / x,x,x \ y) * z.
(x \ 1) * (y * a(x,x \ 1,z)) = R(1 / x,x,x \ z) * y.
L(L(x \ L(x,y,y),z,u),w,a(y,v5,v6)) = a(y,y,L(x,z,u)) \ 1.
a(x \ 1,x,L(y,z,u)) = L(L(y \ L(y,x,x),z,u),w,a(x,v5,v6)).
L(L(x \ L(x,y,y),z,u),w,a(y,v5,v6)) = a(y \ 1,y,L(x,z,u)).
a(a(x,y,y),z,z) \ (a(x,y,y) \ z) = (1 / z) \ (z \ (a(x,y,y) \ z)).
(1 / x) \ (x \ (a(y,z,z) \ x)) = R(a(y,z,z),x,x) \ x.
(1 / x) \ (x \ (a(y,z,z) \ x)) = a(L(y,x,x),z,z) \ x.
(1 / x) \ a(y \ 1,z,z) = a(L(y,x,x),z,z) \ x.
a(L(x,y,y),z,z) \ y = (1 / y) \ a(x \ 1,z,z).
a(L(x,y,y),z,z) \ y = (a(x,z,z) / y) \ 1.
a((x \ 1) \ 1,y,y) * L(z,a(x,y,y),u) = L(a(x,y,y) * z,a(x,y,y),u).
((a(x,y,y) \ z) * u) \ (a(x,y,y) \ (z * u)) = a(u,z,a(x \ 1,y,y)).
a(x,y,a(z \ 1,u,u)) = a(a(z,u,u),a(z,u,u) \ y,x).
a(a(x,y,y),a(x,y,y) \ z,u) = a(u,z,a(x \ 1,y,y)).
a(a(x \ 1,y,y),a(x \ 1,y,y) \ z,u) = a(u,z,a(x,y,y)).
a(a(x \ 1,y,y),a(x,y,y) * z,u) = a(u,z,a(x,y,y)).
a(x,y,a(z,u,u)) = a(a(u,u,z),a(z,u,u) * y,x).
a(a(x,x,y),a(y,x,x) * z,u) = a(u,z,a(y,x,x)).
(x \ 1) * (R(x \ 1,y,y) \ z) = L(a(x,y,y) * z,x \ 1,a(x \ 1,y,y)).
L(a(x,y,y) * z,x \ 1,a(x \ 1,y,y)) = (x \ 1) * (R(x \ 1,y,y) \ z).
(x * a(y,z,z)) * y = R(x * R(y,z,z),a(y,z,z),y).
R(x * R(y,z,z),a(y,z,z),y) = (x * a(y,z,z)) * y.
L(x * R(y,z,z),y,a(y,z,z)) = (x * a(y,z,z)) * y.
L(x * R(y,z,z),y,a(y,z,z)) = (x * y) * a(y,z,z).
L((x \ y) * (R(x,z,z) \ x),y \ (x \ y),a(y \ (x \ y),z,z)) = (y * (y \ (x \ y))) * a(y \ (x \ y),z,z).
a(x,y,z * L(L(u,w,u),u,z \ 1)) = a(x,y,R(z,u,u) * u).
a(x,y,z * L(u,u,z \ 1)) = a(x,y,R(z,u,u) * u).
a(x,y,R(z,u,u) * u) = a(x,y,z * L(u,u,z \ 1)).
a(x,y,z * L(u,u,z \ 1)) = a(x,y,u * L(z,u,u)).
a(x,y,z * L(u,u,z \ 1)) = a(x,y,(1 / u) \ z).
a(x,y,z * L(u,u,z \ 1)) = a(x,y,(u \ 1) \ z).
a(x,y,(((z * u) \ z) * u) * L(w,w,u \ (((z * u) \ z) \ 1))) = a(x,y,(w \ 1) \ (((z * u) \ z) * u)).
L(x,x \ 1,a(y,z,u)) \ a(y,z,u) = ((a(y,z,u) \ 1) * x) \ 1.
((a(x,y,z) \ 1) * u) \ 1 = T(a(x,y,z) * (1 / u),u).
T(a(x,y,z) * (1 / u),u) = ((a(x,y,z) \ 1) * u) \ 1.
((a(x,y,z) \ 1) * u) \ 1 = a(x,y,z) * (u \ 1).
a(x,y,z) * (T(u,w) \ 1) = (u * (a(x,y,z) \ 1)) \ K(w,u).
(x * (a(y,z,u) \ 1)) \ K(w,x) = a(y,z,u) * (T(x,w) \ 1).
((R(x,x,y) \ x) * z) \ 1 = a(x,x,y) * (z \ 1).
(a(x,x,y) \ z) \ 1 = a(x,x,y) * (z \ 1).
a(x,x,y) \ ((z * u) * a(a(y,x,x),z,u)) = ((y \ L(y,x,x)) * z) * u.
a(x,x,y) \ ((z * u) * a(a(y,x,x),z,u)) = (a(x,x,y) \ z) * u.
a(x,x,y) \ L(z \ 1,z,a(y,x,x)) = a(x \ 1,x,y) / T(z,z \ 1).
a(x,x,y) \ L(z \ 1,z,a(y,x,x)) = z \ a(x \ 1,x,y).
a(x,y,y) * L(z,a(x,y,y),u) = L(a(x,y,y) * z,a(x,y,y),u).
L(a(x,y,y) * z,a(x,y,y),u) = a(x,y,y) * L(z,a(x,y,y),u).
L(a(x,y,y) * (a(x,y,y) \ z),a(x,y,y),u) = ((a(x,y,y) * u) \ (u * z)) * a(x,y,y).
(x \ 1) * (R(x \ 1,y,y) \ z) = L(a(x,y,y) * z,x \ 1,a(y,y,x)).
L(a(x,y,y) * z,x \ 1,a(y,y,x)) = (x \ 1) * (R(x \ 1,y,y) \ z).
a(x,x,y) * a(x,x,y) = 1 / (y \ L(L(y,x,x),x,x)).
1 / (x \ L(L(x,y,y),y,y)) = a(y,y,x) * a(y,y,x).
a(x,x,y) * a(x,x,y) = L(L(y,x,x),x,x) \ y.
L(L(x,y,y),y,y) \ x = a(y,y,x) * a(y,y,x).
a(L(x,y,y) \ a(y,x,x),z,u) = a(y \ (x \ R(y,y,x)),z,u).
a(L(x \ a(y,x,x),y,y),z,u) = a(y \ (x \ R(y,y,x)),z,u).
a(L(L(x,x,y) \ 1,y,y),z,u) = a(y \ (x \ R(y,y,x)),z,u).
a(L(L(x \ 1,x,y),y,y),z,u) = a(y \ (x \ R(y,y,x)),z,u).
a(L(T(x \ y,y \ x),x,x),z,u) = a(x \ ((y \ x) \ R(x,x,y \ x)),z,u).
a(x \ ((y \ x) \ R(x,x,y \ x)),z,u) = a(L(T(x \ y,y \ x),x,x),z,u).
a(x \ ((y \ x) \ R(x,x,y \ x)),z,u) = a(L(x \ y,x,x),z,u).
a(x \ (L(y \ x,x,x) \ x),z,u) = a(L(x \ y,x,x),z,u).
a(L(x \ y,x,x),z,u) = a(((x \ 1) \ (y \ x)) \ x,z,u).
a(((x \ 1) \ (y \ x)) \ x,z,u) = a(L(x \ y,x,x),z,u).
a(L(x \ (y \ x),x,x),z,u) = a(((x \ 1) \ y) \ x,z,u).
x * (a(x,x,y) * ((z * R(x,x,y)) \ z)) = R(z,R(x,x,y),R(x \ 1,x,y)) \ z.
a(x,x,y) * a(R(x,x,y),R(x,x,y),z) = (1 / x) * R(R(x,x,y),L(x,x,y),z).
L(x,y,a(z,u \ a(w,u,u),u \ a(w,u,u))) = L(x,y,a(u,u \ 1,z)).
L(x,y,a(z,u \ a(w,u,u),u \ a(w,u,u))) = L(x,y,a(z,u,u)).
(x \ 1) / ((y * (R(y,z,z) \ x)) \ 1) = a(L(y \ 1,y,x),z,z).
x * (a(x,x,y) * ((z * R(x,x,y)) \ z)) = R(z,R(x,x,y),L(x \ 1,x,y)) \ z.
x * (a(x,x,y) * ((z * R(x,x,y)) \ z)) = R(z,L(x,x,y),L(x \ 1,x,y)) \ z.
(a(x,y,z) * (u * z)) / (a(x,y,z) * z) = R(u,a(x,y,z),L(z,u,a(x,y,z))).
R(x,a(y,z,u),L(u,x,a(y,z,u))) = (a(y,z,u) * (x * u)) / (a(y,z,u) * u).
R(x,a(y,z,u),L(u,x,a(y,z,u))) = L(x,u,a(y,z,u)).
R(x,a(y,z,u),u) = L(x,u,a(y,z,u)).
L(x,y,a(z,u,y)) = R(x,a(z,u,y),y).
L(x,a(y,z,u),u) = L(x,u,a(y,z,u)).
L(x,y,a(z,u \ K(w,v5),u \ K(w,v5))) = L(x,y,z \ L(z,u \ 1,u \ 1)).
L(x,y,a(z,u \ K(w,v5),u \ K(w,v5))) = L(x,y,a(u,u \ 1,z)).
L(x,y,a(z,u \ K(w,v5),u \ K(w,v5))) = L(x,y,a(z,u,u)).
L(x,y,a(z,u \ K(w,v5),u \ 1)) = L(x,y,a(z,u,u)).
L(x,y,a(z,u \ 1,u \ 1)) = L(x,y,a(z,u,u)).
(x \ (R(x,y,y) / y)) \ a(x,y,y) = L((x \ (x / y)) \ 1,x \ (y \ x),a(x,y,y)).
L((x \ (x / y)) \ 1,x \ (y \ x),a(x,y,y)) = (x \ (R(x,y,y) / y)) \ a(x,y,y).
a(x,y,(R((T(z,u) \ w) \ w,v5,v5) \ z) * v6) = a(x,y,v6 * (a(z,v5,v5) \ K(u,z))).
x / T((x / y) / (y \ 1),y \ (1 / (x \ (x / y)))) = ((y * (x \ (x / y))) * x) \ x.
((x * R(y \ 1,y,z)) * R(y,y,z)) \ x = R(y,y,z) * (x \ (a(y,y,z) \ (x / y))).
(x * y) \ ((z \ L(z,u,u)) \ (x * (a(u,u,z) \ y))) = a(z \ L(z,u,u),y,x).
a(x,y,(R(T((z \ u) \ u,w),v5,v5) \ z) * v6) = a(x,y,v6 * (a(z,v5,v5) \ K(w,z))).
x / T((x / y) / (y \ 1),y \ ((x \ (x / y)) \ 1)) = ((y * (x \ (x / y))) * x) \ x.
a(x,y,z * (a(u,w,w) \ K(v5,u))) = a(x,y,z * (R((u \ v6) \ v6,w,w) \ u)).
a(x,y,z * (R((u \ w) \ w,v5,v5) \ u)) = a(x,y,z * (a(u,v5,v5) \ K(v6,u))).
a(x,y,z * (R((u \ w) \ w,v5,v5) \ u)) = a(x,y,z * (a(u,v5,v5) \ 1)).
a(x,y,z * (R((u \ w) \ w,v5,v5) \ u)) = a(x,y,a(u,v5,v5) \ z).
a(x,y,z * (L((u \ w) \ w,v5,v5) \ u)) = a(x,y,a(u,v5,v5) \ z).
a(x,y,a(z,u,u) \ w) = a(x,y,a(u,u,z) * w).
a(x,y,z) = a(x,y,a(u,u,w) * (a(w,u,u) * z)).
a(x,y,a(z,z,u) * (a(u,z,z) * w)) = a(x,y,w).
a(x,x,a(y,x,x) \ z) = a(x,x,z).
a(x,y,a(z,u,u) \ z) = a(x,y,L(z,u,u \ 1)).
a(x,y,L(z,u,u \ 1)) = a(x,y,a(z,u,u) \ z).
a(x,y,R(z * a(u,u,z),w,v5)) = a(x,y,a(R(z,w,v5),u,u) \ R(z,w,v5)).
a(x,y,a(R(z,u,w),v5,v5) \ R(z,u,w)) = a(x,y,R(z * a(v5,v5,z),u,w)).
a(x,y,L(z,u,u \ 1) * a(u \ 1,u \ 1,z)) = a(x,y,a(a(u \ 1,u \ 1,z) * z,u,u) \ (a(u \ 1,u \ 1,z) * z)).
a(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = a(x,y,L(u,z,z \ 1) * a(z \ 1,z \ 1,u)).
a(x,y,L(z * a(u,u,z),w,v5)) = a(x,y,a(R(z,w,v5),u,u) \ R(z,w,v5)).
a(x,y,a(R(z,u,w),v5,v5) \ R(z,u,w)) = a(x,y,L(z * a(v5,v5,z),u,w)).
a(x,y,a(L(z,u,w),v5,v5) \ R(z,u,w)) = a(x,y,L(z * a(v5,v5,z),u,w)).
a(x,y,R(a(z,u,u) \ z,w,v5)) = a(x,y,L(z * a(u,u,z),w,v5)).
a(x,y,L(z * a(u,u,z),w,v5)) = a(x,y,R(a(z,u,u) \ z,w,v5)).
x / ((x / y) / (y \ 1)) = ((y * (x \ (x / y))) * x) \ x.
((x * (y \ (y / x))) * y) \ y = y / ((y / x) / (x \ 1)).
(x * L(1 / y,x,a(z,u,y))) \ ((x * (1 / y)) * a(z,u,y)) = L(a(z,u,y),x,1 / y).
x \ ((x \ R(x,y,z)) * (a(x,y,z) \ x)) = a(y * z,x,a(x,y,z)).
x \ (a(x,y,z) \ R(x,y,z)) = a(y * z,x,a(x,y,z)).
a(x,y,z) * a(y * z,x,a(x,y,z)) = x \ R(x,y,z).
a(x * y,z,a(z,x,y)) * a(z,x,y) = z \ R(z,x,y).
a(x,y,z) \ (x \ R(x,y,z)) = a(y * z,x,a(x,y,z)).
a(R(x,y,z),u,w) * a(u * w,R(x,y,z),a(R(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z).
a((x \ 1) \ (x \ y),z,u) * a(z * u,(x \ 1) \ (x \ y),a((x \ 1) \ (x \ y),z,u)) = ((x \ 1) \ (x \ y)) \ ((x \ 1) \ (x \ R(y,z,u))).
a((x \ 1) \ y,z,u) * a(z * u,(x \ (y \ 1)) \ 1,a((x \ (y \ 1)) \ 1,z,u)) = ((x \ (y \ 1)) \ 1) \ R((x \ (y \ 1)) \ 1,z,u).
(a(x * y,z,a(z,x,y)) \ 1) \ a(z,x,y) = z \ R(z,x,y).
a(x * y,z,a(z,x,y)) \ 1 = z * (R(z,x,y) \ a(z,x,y)).
L((x \ L(x,y,y)) \ z,a(x,y,y),L(x,y,y) \ x) = (1 / (x \ L(x,y,y))) * z.
L((x \ L(x,y,y)) \ z,a(x,y,y),a(y,y,x)) = (1 / (x \ L(x,y,y))) * z.
L((x \ L(x,y,y)) \ z,a(x,y,y),a(y,y,x)) = ((x \ L(x,y,y)) \ 1) * z.
L((x \ L(x,y,y)) \ z,a(x,y,y),a(y,y,x)) = (L(x,y,y) \ x) * z.
L((x \ L(x,y,y)) \ z,a(x,y,y),a(y,y,x)) = a(y,y,x) * z.
a(x,x,y) * z = (y \ L(y,x,x)) \ z.
(x \ L(x,y,y)) \ z = a(y,y,x) * z.
(R(x,x,y) \ x) \ z = a(x,x,y) * z.
L(x,y,(z * (u \ (z \ u))) \ w) = L(x,y,a(z,z,u) * w).
a(a(x,x \ 1,y) \ z,u,w) = a(a(x,x,y) * z,u,w).
a((x * (y \ (x \ y))) \ z,u,w) = a(a(x,x,y) * z,u,w).
a(x,y,(z * (u \ (z \ u))) \ w) = a(x,y,a(z,z,u) * w).
R(x / (y / (z * y)),y \ (z \ y),z) = a(z,z,y) * (x * z).
L(a(x,x,y) * z,y,a(y,x,x)) = y * (L(y,x,x) \ z).
(x * y) \ (a(z,z,u) * (x * (a(z,z,u) \ y))) = a(u \ L(u,z,z),y,x).
a(a(x,x,x \ y) * z,u,w) = a(a(x,x \ 1,y) \ z,u,w).
a(a(x,x \ 1,y) \ z,u,w) = a(a(x,x,x \ y) * z,u,w).
L(a(x,x,y) * z,L(y,u,x),a(L(y,u,x),x,x)) = L(y,u,x) * (L(L(y,u,x),x,x) \ z).
R(x / (y / (z * y)),y \ (z \ y),z) = x * R(z,z,y).
R(x,y \ (z \ y),z) = (x * (y / (z * y))) * R(z,z,y).
(x * (y / (z * y))) * R(z,z,y) = R(x,y \ (z \ y),z).
a(a(x,x,x \ y) * z,u,w) = a(a(x,x,y) * z,u,w).
a((a(x,x,x \ y) * z) * T(u,z),w,v5) = a(a(x,x,y) * ((u * z) * a(a(x,x,x \ y),z,u)),w,v5).
a(a(x,x,y) * ((z * u) * a(a(x,x,x \ y),u,z)),w,v5) = a((a(x,x,x \ y) * u) * T(z,u),w,v5).
a(x \ L(x,y,y),z,u) = a(u,a(y,y,x) \ z,a(y,y,x)).
a(x,a(y,y,z) \ u,a(y,y,z)) = a(z \ L(z,y,y),u,x).
a(x,a(y,y,z) \ u,a(y,y,z)) = a(a(z,y,y),u,x).
a(x,y,a(z,z,u)) = a(a(u,z,z),a(z,z,u) * y,x).
a(a(x,y,y),a(y,y,x) * z,u) = a(u,z,a(y,y,x)).
a(a(x,y,y),z * a(y,y,x),u) = a(u,z,a(y,y,x)).
a(a(x,y,y),(a(y,y,x) \ R(a(y,y,x),z,u)) * a(y,y,x),w) = a(w,a(y,y,x),a(y,y,x) \ R(a(y,y,x),z,u)).
R(1 / (x \ y),x \ y,a(y,y,x)) \ a(x,y,y \ 1) = ((x \ y) / y) / (y \ 1).
(1 / (x \ y)) \ a(x,y,y \ 1) = ((x \ y) / y) / (y \ 1).
a(x,y,(z \ (u \ z)) * a(z * u,z,z \ 1)) = a(x,y,(z \ 1) \ (((z * u) \ z) / z)).
a(x,x,y) \ (a(R(x,x,y),L(x,x,y),z) \ u) = x * (R(R(x,x,y),R(x,x,y),z) \ u).
T(a(x,y,y) * L(z,z,a(x,y,y)),L(z,z,a(x,y,y))) = a(L(x,z,z \ 1),y,y) * z.
(x * (1 / y)) \ ((x * (1 / y)) * a(z,u,y)) = L(a(z,u,y),x,1 / y).
L(a(x,y,z),u,1 / z) = a(x,y,z).
a(x,y,z) = L(a(x,y,z),u,z \ 1).
L(a(x,y,z),u,z \ 1) = a(x,y,z).
a(L(x,y,z \ 1),z,z) = a(x,z,z).
a(x,y,y) \ y = L(y,y,L(x,z,y \ 1)).
L(x,x,L(y,z,x \ 1)) = a(y,x,x) \ x.
L(x,x,L(y,z,x \ 1)) = L(x,x,y).
L(x,x,((x / y) \ 1) * z) = L(x,x,x \ (z * y)).
L(x,x,(y \ 1) * z) = L(x,x,x \ (z * (y \ x))).
L(x,x,x \ (y * (z \ x))) = L(x,x,(z \ 1) * y).
L(x,x,((y \ x) * y) \ (z * (u \ x))) = L(x,x,(u \ 1) * z).
L(x,x,L(y \ z,y,y \ x)) = L(x,x,(y \ 1) * z).
a(x,y,(z \ (u \ z)) * a(z * u,z,z \ 1)) = a(x,y,(z \ 1) \ (z \ ((z * u) \ z))).
a(x,x,y) \ (a(L(x,x,y),L(x,x,y),z) \ u) = x * (R(R(x,x,y),R(x,x,y),z) \ u).
a(L(x,y,y \ 1),z,z) * y = T(a(x,z,z) * L(y,y,a(x,z,z)),y).
T(a(x,y,y) * L(z,z,a(x,y,y)),z) = a(L(x,z,z \ 1),y,y) * z.
a(L(x,y,y \ 1),z,z) * y = y \ (a(x,z,z) * (y * y)).
a(x,y,(z \ (u \ z)) * a(z * u,z,z \ 1)) = a(x,y,(z \ 1) \ (z \ (z \ (u \ z)))).
a(x,y,(z \ (u \ z)) * a(z * u,z,z \ 1)) = a(x,y,L(z \ (u \ z),z,z)).
(L(x,y,z) * a(x,L(x,y,z),L(u,x,L(x,y,z)))) \ (L(x,y,z) * u) = L(u,x,L(x,y,z)).
(L(L(x,x,y),x,y \ 1) \ L(x,x,y)) * L(x,x,y) = 1 / (L(x,x,y) \ a(y,x,x)).
(x \ L(x,x,y)) * L(x,x,y) = 1 / (L(x,x,y) \ a(y,x,x)).
1 / (L(x,x,y) \ a(y,x,x)) = (x \ L(x,x,y)) * L(x,x,y).
1 / (L(x,x,y) \ a(y,x,x)) = L(x,x,y) * (x \ L(x,x,y)).
1 / (L(x,x,y) \ a(y,x,x)) = a(y,x,x) \ L(x,x,y).
1 / (x \ a(y * y,x,x)) = a(y,x,x) \ L(x,x,y).
a(x,y,y) \ L(y,y,x) = 1 / (y \ a(x * x,y,y)).
a(x,y,y) \ L(y,y,x) = (a(x * x,y,y) / y) \ 1.
a(x,y,y) \ L(y,y,x) = L(y,y,x * x).
((x \ ((x \ y) \ x)) * (x \ y)) * (x / (x \ y)) = ((1 / (1 / (y \ x))) \ 1) \ x.
((1 / (1 / (x \ y))) \ 1) \ y = (y \ x) \ ((y / (y \ x)) / (1 / (y \ x))).
(x \ y) \ ((x / (x \ y)) / (1 / (x \ y))) = ((1 / (1 / (y \ x))) \ 1) \ x.
(x \ y) \ (y / (1 / (y \ x))) = ((1 / (1 / (y \ x))) \ 1) \ x.
((1 / (1 / (x \ y))) \ 1) \ y = (y \ x) \ (x / (1 / (x \ y))).
(1 / (x \ y)) \ y = (y \ x) \ (x / (1 / (x \ y))).
(x \ y) \ (y / (1 / (y \ x))) = (1 / (y \ x)) \ x.
a(L(x \ y,z,x \ y) \ (y / (1 / (y \ x))),u,w) = a((1 / (y \ x)) \ x,u,w).
L(x,y,L(z \ u,w,z \ u) \ (u / (1 / (u \ z)))) = L(x,y,(1 / (u \ z)) \ z).
a((1 / (x \ y)) \ y,z,u) = a(L(y \ x,w,y \ x) \ ((1 / (x \ y)) \ x),z,u).
a(L(x \ y,z,x \ y) \ ((1 / (y \ x)) \ y),u,w) = a((1 / (y \ x)) \ x,u,w).
L(x,y,(1 / (z \ u)) \ u) = L(x,y,L(u \ z,w,u \ z) \ ((1 / (z \ u)) \ z)).
L(x,y,L(z \ u,w,z \ u) \ ((1 / (u \ z)) \ u)) = L(x,y,(1 / (u \ z)) \ z).
a((1 / (x \ y)) \ y,z,u) = a(L(y \ x,w,y \ x) \ (((x \ y) \ 1) \ x),z,u).
a(L(x \ y,z,x \ y) \ (((y \ x) \ 1) \ y),u,w) = a((1 / (y \ x)) \ x,u,w).
L(x,y,(1 / (z \ u)) \ u) = L(x,y,L(u \ z,w,u \ z) \ (((z \ u) \ 1) \ z)).
L(x,y,L(z \ u,w,z \ u) \ (((u \ z) \ 1) \ u)) = L(x,y,(1 / (u \ z)) \ z).
a((x \ y) \ (((y \ x) \ 1) \ y),z,u) = a((1 / (y \ x)) \ x,z,u).
a((1 / (x \ y)) \ y,z,u) = a(x \ (y * y),z,u).
a(x \ (y * y),z,u) = a(((x \ y) \ 1) \ y,z,u).
a(((x \ y) \ 1) \ y,z,u) = a(x \ (y * y),z,u).
a((((x \ y) \ 1) \ x) * (((x \ y) \ 1) \ 1),z,u) = a(x \ (y * y),z,u).
a(x \ (y * y),z,u) = a((x \ y) * (((x \ y) \ 1) \ x),z,u).
a((x \ y) * (((x \ y) \ 1) \ x),z,u) = a(x \ (y * y),z,u).
L(x,y,(z \ u) \ (((u \ z) \ 1) \ u)) = L(x,y,(1 / (u \ z)) \ z).
L(x,y,(z \ u) \ (((u \ z) \ 1) \ u)) = L(x,y,((u \ z) \ 1) \ z).
L(x,y,((z \ u) \ 1) \ u) = L(x,y,z \ (u * u)).
L(x,y,(a(z,z,u) \ 1) \ (z \ 1)) = L(x,y,(((u / (z * u)) \ 1) \ 1) \ ((z \ 1) * (z \ 1))).
L(x,y,(((z / (u * z)) \ 1) \ 1) \ ((u \ 1) * (u \ 1))) = L(x,y,(a(u,u,z) \ 1) \ (u \ 1)).
R((x \ y) \ y,x,z) * (y \ (R(x,x,z) \ y)) = x * (a(x,x,z) * (y \ (y / R(x,x,z)))).
a(x * a(y,z \ K(u,w),z \ K(u,w)),v5,v6) = a(a(z,z \ 1,y) * x,v5,v6).
a(x * a(y,z \ K(u,w),z \ K(u,w)),v5,v6) = a(x * a(y,z,z),v5,v6).
a(x * a(y,z \ K(u,w),z \ 1),v5,v6) = a(x * a(y,z,z),v5,v6).
a(x * a(y,z \ 1,z \ 1),u,w) = a(x * a(y,z,z),u,w).
L(x,a(y,z,z),u) = ((a(y,z,z) * u) \ (u * x)) * a(y,z,z).
((a(x,y,y) * z) \ (z * u)) * a(x,y,y) = L(u,a(x,y,y),z).
L(x,a(y,z,z),u) = a(y,z,z) * ((u * a(y,z,z)) \ (u * x)).
a(x,y,y) * ((z * a(x,y,y)) \ (z * u)) = L(u,a(x,y,y),z).
L(a(x,x,y) * z,L(y,u,x),a(y,x,x)) = L(y,u,x) * (L(L(y,u,x),x,x) \ z).
R((x \ y) \ y,x,z) * R(y \ (x \ y),x,z) = x * (a(x,x,z) * (y \ (y / R(x,x,z)))).
x * (a(x,x,y) * (z \ (z / R(x,x,y)))) = R(((x \ z) \ z) * (z \ (x \ z)),x,y).
R(((x \ y) \ y) * (y \ (x \ y)),x,z) = x * (a(x,x,z) * (y \ (y / R(x,x,z)))).
R(x * (y \ (y / x)),x,z) = x * (a(x,x,z) * (y \ (y / R(x,x,z)))).
x * (a(x,x,y) * (z \ (z / R(x,x,y)))) = R(x * (z \ (z / x)),x,y).
R(x * (y \ (y / x)),x,z) = R(x,x,z) * (y \ (y / R(x,x,z))).
R(x,x,y) * (z \ (z / R(x,x,y))) = R(x * (z \ (z / x)),x,y).
R(x,y,z) * u != R(x * w,y,z) | u = R(w,y,z).
x \ (x / R(y,y,z)) = R(x \ (x / y),y,z).
R(x \ (x / y),y,z) = x \ (x / R(y,y,z)).
T(R(x \ (x / y),y,z),R(y,y,z)) = (x * R(y,y,z)) \ x.
(x * R(y,y,z)) \ x = T(R(x \ (x / y),y,z),y).
T(R(x \ (x / y),y,z),y) = (x * R(y,y,z)) \ x.
R(T(x \ (x / y),y),y,z) = (x * R(y,y,z)) \ x.
R((x * y) \ x,y,z) = (x * R(y,y,z)) \ x.
a(1 * R(x,x,y),R((1 * x) \ 1,x,y),z) * z = ((1 * R(x,x,y)) \ 1) \ ((1 * R(x,x,y)) \ z).
(1 / (a(x,y,z) \ u)) \ a(a(x,y,z) \ 1,u,u) = R(u \ (a(x,y,z) \ u),u,u) * u.
(1 / (a(x,y,z) \ u)) \ a(a(x,y,z),u,u \ 1) = R(u \ (a(x,y,z) \ u),u,u) * u.
R(x \ (a(y,z,u) \ x),x,x) * x = ((a(y,z,u) \ x) / x) / (x \ 1).
R(x \ (a(y,z,u) \ x),x,x) * x = (x \ (a(y,z,u) \ x)) / (x \ 1).
((a(x,y,z) / (u \ 1)) \ u) * u = (u \ (a(x,y,z) \ u)) / (u \ 1).
(x \ (a(y,z,u) \ x)) / (x \ 1) = ((a(y,z,u) / (x \ 1)) \ x) * x.
L(x,y,(((z / (u * z)) \ 1) \ 1) \ ((u \ 1) * (u \ 1))) = L(x,y,a(u \ 1,u,z) \ (u \ 1)).
L(x,y,(((z / (u * z)) \ 1) \ 1) \ ((u \ 1) * (u \ 1))) = L(x,y,u \ a(u,u,z)).
L(x,y,z \ a(z,z,u)) = L(x,y,(((u / (z * u)) \ 1) \ 1) \ (z \ (z \ 1))).
L(x,y,(((z / (u * z)) \ 1) \ 1) \ (u \ (u \ 1))) = L(x,y,u \ a(u,u,z)).
L(x,y,z \ a(z,z,u)) = L(x,y,(u / (z * u)) \ (z \ (z \ 1))).
L(x,y,(z / (u * z)) \ (u \ (u \ 1))) = L(x,y,u \ a(u,u,z)).
L(x,y,z \ a(z,z,u)) = L(x,y,((z * u) \ u) \ (z \ (z \ 1))).
L(x,y,((z * u) \ u) \ (z \ (z \ 1))) = L(x,y,z \ a(z,z,u)).
L(x,y,z \ a(z,z,u)) = L(x,y,(u \ (z \ u)) \ (z \ (z \ 1))).
L(x,y,(z \ (u \ z)) \ (u \ (u \ 1))) = L(x,y,u \ a(u,u,z)).
R(a(x,y,L(y,z,u)),w,L(y,w,a(x,y,L(y,z,u)))) = a(x,y,L(y,z,u)).
R(a(x,y,L(y,z,u)),w,y) = a(x,y,L(y,z,u)).
L(a(x,y,L(y,z,u)),w,y) = a(x,y,L(y,z,u)).
a(K(x,y) * (a(z,z,u) \ a(z \ 1,z,u)),w,v5) = a((a(z,z,u) \ K(x,y)) * a(u,z,z),w,v5).
a(K(x,y) * (z \ L(L(z,u,u),u,u)),w,v5) = a((a(u,u,z) \ K(x,y)) * a(z,u,u),w,v5).
a((a(x,x,y) \ K(z,u)) * a(y,x,x),w,v5) = a(K(z,u) * (y \ L(L(y,x,x),x,x)),w,v5).
a((a(x,x,y) \ K(z,u)) * a(y,x,x),w,v5) = a(y \ L(L(y,x,x),x,x),w,v5).
a((a(x,x,y) \ K(z,u)) * a(y,x,x),w,v5) = a(a(y * y,x,x),w,v5).
(x * (L(y,z,u) \ y)) / (y * (x * (L(y,z,u) \ y))) = R(1 / y,y,x).
R(R(1 / x,x,y) \ 1,z,a(x,u,w)) = R(x,x,y * (L(x,v5,v6) \ x)).
R(x,x,y * (L(x,z,u) \ x)) = R(x,x,y).
x \ R(x,x,y) = a(x,x,y * (L(x,z,u) \ x)).
a(x,x,y * (L(x,z,u) \ x)) = x \ R(x,x,y).
a(x,x,y * (L(x,z,u) \ x)) = a(x,x,y).
a(x,x,y) = a(x,x,x * (L(x,z,u) \ y)).
a(x,x,x * (L(x,y,z) \ u)) = a(x,x,u).
a(x,x,x * y) = a(x,x,L(x,z,u) * y).
a(x,x,L(x,y,z) * u) = a(x,x,x * u).
a(x,x,y * x) = a(x,x,L(x,z,u) * y).
a(x,x,L(x,y,z) * u) = a(x,x,u * x).
a(x,x,y * x) = a(x,x,R(x,z,u) * y).
a(x,x,R(x,y,z) * u) = a(x,x,u * x).
a(x,x,R(x,y,z) * (x \ u)) = a(x,x,u).
a(x,x,x \ y) = a(x,x,R(x,z,u) \ y).
a(x,x,R(x,y,z) \ u) = a(x,x,x \ u).
a(x,x,y) = a(x,x,(x \ y) * R(x,z,u)).
a(x,x,(x \ y) * R(x,z,u)) = a(x,x,y).
a(x,x,L(R(x,y,z) \ u,w,v5)) = L(a(x,x,x \ u),w,v5).
a(x,x,y * R(x,z,u)) = a(x,x,x * y).
a(x,x,R(y * x,z,u)) = a(x,x,x * R(y,z,u)).
a(x,x,L(y * x,z,u)) = a(x,x,x * R(y,z,u)).
a(x,x,x * R(y,x,z)) = a(x,x,y * x).
a(x,x,((y * z) / (x * z)) * x) = a(x,x,(x \ y) * x).
a(x,x,((y * z) / (x * z)) * x) = a(x,x,y).
a(x,x,y) = a(x,x,((x * z) \ (y * z)) * x).
a(x,x,((x * y) \ (z * y)) * x) = a(x,x,z).
a(x,x,y) = a(x,x,x * ((z * x) \ (y * z))).
a(x,x,x * ((y * x) \ (z * y))) = a(x,x,z).
a(x,x,x * ((y * x) \ z)) = a(x,x,z / y).
a(x,x,x * ((y * x) \ z)) = a(x,x,y \ z).
a(x,x,x * (y \ z)) = a(x,x,(y / x) \ z).
a(x,x,(y / x) \ z) = a(x,x,x * (y \ z)).
a(x,x,x * (y \ z)) = a(x,x,(x \ y) \ z).
a(x,x,(x \ y) \ z) = a(x,x,x * (y \ z)).
a(x,x,x * (y \ z)) = a(x,x,y \ (x * z)).
a(x,x,y \ (x * z)) = a(x,x,x * (y \ z)).
a(x,x,y \ z) = a(x,x,x * (y \ (x \ z))).
a(x,x,x * (y \ (x \ z))) = a(x,x,y \ z).
L(x,y,a(z,z,u \ w)) = L(x,y,a(z,z,u \ (z \ w))).
L(x,y,a(z,z,u \ (z \ w))) = L(x,y,a(z,z,u \ w)).
a(x,x,L(x \ y,z,u)) = a(x,x,L(R(x,w,v5) \ y,z,u)).
a(x,x,L(R(x,y,z) \ u,w,v5)) = a(x,x,L(x \ u,w,v5)).
(x * y) * a(x,y,z) = T(z,y) * (L(T(z,y),y,x) \ (x * y)).
T(x,y) * (L(T(x,y),y,z) \ (z * y)) = (z * y) * a(z,y,x).
T(x,y) * (L(T(x,y),y,z) \ (z * y)) = z * (y * a(z,y,x)).
x * (y * a(x,y,z)) = z * (L(z,y,x) \ (x * y)).
x * (L(x,y,z) \ (z * y)) = z * (y * a(z,y,x)).
L(x,y * (x \ (x / y)),y \ (1 / (x \ (x / y)))) / ((x / y) / (y \ 1)) = 1 / (y * (x \ (x / y))).
L(x,y,y) * a(y,y,L(R(x,z,u),L(x,z,u),L(x,y,y))) = R(x,z,u) * L(R(x,z,u) \ x,y,y).
a(L(x,y,z),u,w) * a(u * w,R(x,y,z),a(R(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z).
a(R(x,x,y),R((1 * x) \ 1,x,y),z) * z = ((1 * R(x,x,y)) \ 1) \ ((1 * R(x,x,y)) \ z).
((1 * R(x,x,y)) \ 1) \ ((1 * R(x,x,y)) \ z) = a(R(x,x,y),R((1 * x) \ 1,x,y),z) * z.
((1 * R(x,x,y)) \ 1) \ ((1 * R(x,x,y)) \ z) = a(R(x,x,y),R(x \ 1,x,y),z) * z.
L(x,y * (x \ (x / y)),y \ ((x \ (x / y)) \ 1)) / ((x / y) / (y \ 1)) = 1 / (y * (x \ (x / y))).
L(x,y,y) * a(y,y,L(R(x,z,u),L(x,z,u),x)) = R(x,z,u) * L(R(x,z,u) \ x,y,y).
L(x,y,y) * a(y,y,L(R(x,z,u),x,x)) = R(x,z,u) * L(R(x,z,u) \ x,y,y).
R(x,y,z) * L(R(x,y,z) \ x,u,u) = L(x,u,u) * a(u,u,L(R(x,y,z),x,x)).
R(x,y,z) * L(R(x,y,z) \ x,u,u) = L(x,u,u) * a(u,u,L(L(x,y,z),x,x)).
R(x,y,z) * L(R(x,y,z) \ x,u,u) = L(x,u,u) * a(u,u,L(x,y,z)).
L(x * a(y,y,L(x,z,u)),y,y) = R(x,z,u) * L(R(x,z,u) \ x,y,y).
a(L(x,y,z),u,w) * a(u * w,R(x,y,z),a(L(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z).
L(x,y * (x \ (x / y)),a(x,y,y \ 1)) / ((x / y) / (y \ 1)) = 1 / (y * (x \ (x / y))).
x / ((x / y) / (y \ 1)) = 1 / (y * (x \ (x / y))).
1 / (x * (y \ (y / x))) = y / ((y / x) / (x \ 1)).
x / ((x / y) / (y \ 1)) = (y * (x \ (x / y))) \ 1.
x / ((x / y) / (y \ 1)) = y \ (1 / (x \ (x / y))).
((x * (y \ (y / x))) * y) \ y = x \ (1 / (y \ (y / x))).
((x / y) / (y \ 1)) \ x = y \ (1 / (x \ (x / y))).
1 / (x \ (1 / (y \ (y / x)))) = (y \ ((y * (x \ 1)) * x)) \ 1.
(x \ ((x * (y \ 1)) * y)) \ 1 = (y \ (1 / (x \ (x / y)))) \ 1.
(x \ (1 / (y \ (y / x)))) \ 1 = (y \ ((y * (x \ 1)) * x)) \ 1.
(x \ ((x * (y \ 1)) * y)) \ 1 = y * (x \ (x / y)).
(R(x,y,z) \ R((x * (u \ 1)) * u,y,z)) \ 1 = u * (R(x,y,z) \ (R(x,y,z) / u)).
R(x \ ((x * (y \ 1)) * y),z,u) \ 1 = y * (R(x,z,u) \ (R(x,z,u) / y)).
R((x \ ((x * (y \ 1)) * y)) \ 1,z,u) = y * (R(x,z,u) \ (R(x,z,u) / y)).
R(x * (y \ (y / x)),z,u) = x * (R(y,z,u) \ (R(y,z,u) / x)).
x * (R(y,z,u) \ (R(y,z,u) / x)) = R(x * (y \ (y / x)),z,u).
R(x * (y \ (y / x)),z,u) * (x \ 1) = L(1 / x,x,R(y,z,u)).
L(1 / x,x,L(y,z,u)) = R(x * (y \ (y / x)),z,u) * (x \ 1).
R(x * (y \ (y / x)),z,u) * (x \ 1) = L(1 / x,x,L(y,z,u)).
a(L(x,y,z),u,w) * a(u * w,L(x,y,z),a(L(x,y,z),u,w)) = R(x,y,z) \ R(R(x,u,w),y,z).
R(x,y,z) \ R(R(x,u,w),y,z) = L(x,y,z) \ R(L(x,y,z),u,w).
L(x,y,z) \ R(L(x,y,z),u,w) = R(x,y,z) \ R(R(x,u,w),y,z).
L(x,y,z) \ L(R(x,u,w),y,z) = R(x,y,z) \ R(R(x,u,w),y,z).
L(x,y,z) \ L(R(x,u,w),y,z) = R(x \ R(x,u,w),y,z).
R(x \ R(x,y,z),u,w) = L(R(x,y,z) \ x,u,w) \ 1.
L(R(x,y,z) \ x,u,w) \ 1 = R(x \ R(x,y,z),u,w).
1 / R(x \ R(x,y,z),u,w) = L(R(x,y,z) \ x,u,w).
L(R(x \ 1,y,z) \ (x \ 1),u,w) \ 1 = R(R(x,y,z) \ x,u,w).
L(x \ R(x,y,z),x,u) = L(R(x,y,z) \ x,x,u) \ 1.
L(R(x,y,z) \ x,x,u) \ 1 = L(x \ R(x,y,z),x,u).
L(R(x,y,z) \ x,u,w) = R(x \ R(x,y,z),u,w) \ 1.
R(x \ R(x,y,z),u,w) \ 1 = L(R(x,y,z) \ x,u,w).
R((x \ R(x,y,z)) \ 1,u,w) = L(R(x,y,z) \ x,u,w).
a(x,y,z) \ 1 = L(R(x,y,z) \ x,x,y * z).
L(R(x,y,z) \ x,x,y * z) = a(x,y,z) \ 1.
L(R(R(x,y,z) \ x,u,w),x,y * z) = R(a(x,y,z) \ 1,u,w).
L(a(x,y,z) \ 1,u,w) = L(L(R(x,y,z) \ x,u,w),x,y * z).
L(L(R(x,y,z) \ x,u,w),x,y * z) = L(a(x,y,z) \ 1,u,w).
R(R(x,y,z) \ x,u,w) = L(R(x,y,z) \ x,u,w).
L(R(x,y,z) \ x,u,w) = R(R(x,y,z) \ x,u,w).
(R(x,y,z) \ x) \ L(R(x,y,z) \ x,u,u \ 1) = a(R(x,y,z) \ x,u,u \ 1).
a((R(x,y,z) \ x) \ 1,u,u) = L(R(x,y,z) \ x,u,u) \ (R(x,y,z) \ x).
L(R(x,y,z) \ x,u,u) \ (R(x,y,z) \ x) = a((R(x,y,z) \ x) \ 1,u,u).
L(L(R(x,y,z) \ x,u,w),x,y * z) = R(a(x,y,z) \ 1,u,w).
R(a(x,y,z) \ 1,u,w) = L(a(x,y,z) \ 1,u,w).
L(a(x,y,z) \ 1,u,w) = R(a(x,y,z) \ 1,u,w).
L(a(x,y,z) \ 1,u,w) \ 1 = R(a(x,y,z),u,w).
x \ (R(a(x,y,z),u,w) \ x) = L(a(x,y,z) \ 1,u,w).
L(a(x,y,z),u,w) = L(a(x,y,z) \ 1,u,w) \ 1.
L(a(x,y,z) \ 1,u,w) \ 1 = L(a(x,y,z),u,w).
(a(x,y,z) \ 1) * L(a(x,y,z),u,w) = L(a(x,y,z) \ 1,u,w) \ (a(x,y,z) \ 1).
L(a(x,y,z) \ 1,u,w) \ (a(x,y,z) \ 1) = (a(x,y,z) \ 1) * L(a(x,y,z),u,w).
x \ (L(a(x,y,z),u,w) \ x) = L(a(x,y,z) \ 1,u,w).
L(a(x,y,z) \ 1,u,w) = L(a(x,y,z),u,w) \ 1.
a(x,y,z) * L(a(x,y,z) \ 1,u,w) = L(a(x,y,z),u,w) \ a(x,y,z).
L(x \ R(x,y,z),u,w) \ 1 = R(R(x,y,z) \ x,u,w).
L(x \ (1 * R(1 \ x,y,z)),u,w) \ 1 = R(R(x,y,z) \ x,u,w).
R(R(x,y,z) \ x,u,w) \ x = x * L(x \ R(x,y,z),u,w).
R(x \ R(x,y,z),u,w) = L(x \ R(x,y,z),u,w).
L(x \ R(x,y,z),u,w) = R(x \ R(x,y,z),u,w).
R(x \ R(x,y,z),u \ 1,u) \ (x \ R(x,y,z)) = a(u,u \ 1,x \ R(x,y,z)).
L(x * R(1 / (y \ R(y,z,u)),w,y \ R(y,z,u)),y \ R(y,z,u),y \ R(y,z,u)) = L(y \ R(y,z,u),w,y \ R(y,z,u)) \ T(x,(y \ R(y,z,u)) \ 1).
L(x,y,z) \ L(R(x,u,w),y,z) = L(x \ R(x,u,w),y,z).
(L(a(x,y,z),u,w) \ a(x,y,z)) * (a(x,y,z) \ v5) = v5 * L(v5 \ (a(x,y,z) \ v5),u,w).
L(R(x,y,z) \ x,u,u) \ (R(x,y,z) \ x) = a(x \ R(x,y,z),u,u).
a(x \ L(x,y,z),u,u) = L(R(x,y,z) \ x,u,u) \ (R(x,y,z) \ x).
L(R(x,y,z) \ x,u,u) \ (R(x,y,z) \ x) = a(x \ L(x,y,z),u,u).
a(x \ L(x,y,z),u,u) = a(u,u,R(x,y,z) \ x).
a(R(x,y,z) \ x,u,u \ 1) = a(u,u,R(x,y,z) \ x).
R(x \ R(x,y,z),u,u \ 1) \ (x \ R(x,y,z)) = a(u,u \ 1,x \ R(x,y,z)).
a((x \ R(x,y,z)) \ 1,u,u \ 1) = a(u,u \ 1,x \ R(x,y,z)).
a(R(x,y,z) \ x,u,u \ 1) = a(u,u \ 1,x \ R(x,y,z)).
a(x,x \ 1,y \ R(y,z,u)) = a(x,x,R(y,z,u) \ y).
L(x \ R(x,y,z),u,u \ 1) \ (x \ R(x,y,z)) = a(u,u \ 1,x \ R(x,y,z)).
a(x,x \ 1,y \ R(y,z,u)) = a(x \ 1,x,y \ R(y,z,u)).
a(x \ 1,x,y \ R(y,z,u)) = a(x,x \ 1,y \ R(y,z,u)).
a(x \ 1,x,y \ R(y,z,u)) = a(x,x,R(y,z,u) \ y).
(a(x,y,z) \ 1) * L(a(x,y,z),u,u) = a(u,u,a(x,y,z) \ 1).
a(x,x,a(y,z,u) \ 1) = a(y,z,u) \ L(a(y,z,u),x,x).
a(x,y,z) \ L(a(x,y,z),u,u) = a(u,u,a(x,y,z) \ 1).
a(x,x,a(y,z,u) \ 1) = a(a(y,z,u),x,x).
((a(x,y,z) \ 1) \ a(a(x,y,z),u,u)) \ a(x,y,z) = a(u \ 1,u,a(x,y,z) \ 1).
R(T(a(x,y,z),a(x,y,z) \ 1),u,u) \ a(x,y,z) = a(u \ 1,u,a(x,y,z) \ 1).
R(a(x,y,z),u,u) \ a(x,y,z) = a(u \ 1,u,a(x,y,z) \ 1).
L(a(x,y,z),u,u) \ a(x,y,z) = a(u \ 1,u,a(x,y,z) \ 1).
a(x \ 1,x,a(y,z,u) \ 1) = a(x,x,a(y,z,u)).
R(L(x,y,z) \ K(x,x \ 1),L(x,y,z),1 / x) = T((1 / x) / (x \ L(x,y,z)),L(x,y,z)).
R(1 / L(x,y,z),L(x,y,z),1 / x) = T((1 / x) / (x \ L(x,y,z)),L(x,y,z)).
T((1 / x) / (x \ L(x,y,z)),L(x,y,z)) = R(1 / L(x,y,z),L(x,y,z),1 / x).
T((1 / x) / (x \ L(x,y,z)),L(x,y,z)) = R(1 / L(x,y,z),L(x,y,z),x \ 1).
T((1 / x) / (x \ L(x,y,z)),L(x,y,z)) = (x \ L(x,y,z)) \ (x \ 1).
T((x \ L(x,y,z)) \ (1 / x),L(x,y,z)) = (x \ L(x,y,z)) \ (x \ 1).
(x \ L(x,y,z)) \ (x \ 1) = T((x \ L(x,y,z)) \ (1 / x),x).
T((x \ L(x,y,z)) \ (1 / x),x) = (x \ L(x,y,z)) \ (x \ 1).
T(1 / L(x,y,z),x) = (x \ L(x,y,z)) \ (x \ 1).
(x \ L(x,y,z)) \ (x \ 1) = T(1 / L(x,y,z),x).
(x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1.
(L(x,y,z) \ 1) * (x \ L(x,y,z)) = x \ 1.
(x \ 1) / L(x,y,z) = (1 / x) * (1 / L(x,y,z)).
(1 / x) * (1 / L(x,y,z)) = (x \ 1) / L(x,y,z).
(1 / (x \ R(x,y,z))) * (1 / a(x,y,z)) = ((x \ R(x,y,z)) \ 1) / L(x \ R(x,y,z),x,y * z).
((x \ R(x,y,z)) \ 1) / L(x \ R(x,y,z),x,y * z) = (1 / (x \ R(x,y,z))) * (1 / a(x,y,z)).
((x \ R(x,y,z)) \ 1) / L(x \ R(x,y,z),x,y * z) = (R(x,y,z) \ x) * (1 / a(x,y,z)).
((x \ R(x,y,z)) \ 1) / L(x \ R(x,y,z),x,y * z) = (R(x,y,z) \ x) * (a(x,y,z) \ 1).
(R(x,y,z) \ x) / L(x \ R(x,y,z),x,y * z) = (R(x,y,z) \ x) * (a(x,y,z) \ 1).
(R(x,y,z) \ x) / a(x,y,z) = (R(x,y,z) \ x) * (a(x,y,z) \ 1).
(R(x,y,z) \ x) * (a(x,y,z) \ 1) = (R(x,y,z) \ x) / a(x,y,z).
(R(x,y,z) \ x) * (a(x,y,z) \ 1) = a(x,y,z) \ (R(x,y,z) \ x).
a(x,y,z) \ (R(x,y,z) \ x) = (a(x,y,z) \ 1) * (R(x,y,z) \ x).
(a(x,y,z) \ 1) * (R(x,y,z) \ x) = a(x,y,z) \ (R(x,y,z) \ x).
(R(x,y,y \ 1) \ x) * (R(x,y,y \ 1) \ x) = a(x,y,y \ 1) \ (R(x,y,y \ 1) \ x).
a(x,y,z) \ (R(x,y,z) \ x) != u * (R(x,y,z) \ x) | a(x,y,z) \ 1 = u.
a(x,y,y \ 1) \ (R(x,y,y \ 1) \ x) = R(x * x,y,y \ 1) \ (x * x).
R(x * x,y,y \ 1) \ (x * x) = a(x,y,y \ 1) \ (R(x,y,y \ 1) \ x).
a((x * x) \ 1,y,y \ 1) = a(x,y,y \ 1) \ (R(x,y,y \ 1) \ x).
a(x,y,y \ 1) \ (R(x,y,y \ 1) \ x) = a((x * x) \ 1,y,y \ 1).
a(x,y,y \ 1) \ (R(x,y,y \ 1) \ x) = a(x \ (x \ 1),y,y \ 1).
a(x,y,y \ 1) \ a(x \ 1,y,y \ 1) = a(x \ (x \ 1),y,y \ 1).
a(x \ (x \ 1),y,y \ 1) \ 1 = a(x,y,y \ 1) * a(x,y,y \ 1).
a(x,y,y \ 1) * a(x,y,y \ 1) = a(x \ (x \ 1),y,y \ 1) \ 1.
a((x \ (x \ 1)) \ 1,y,y \ 1) = a(x,y,y \ 1) * a(x,y,y \ 1).
a(x,y,y \ 1) * a(x,y,y \ 1) = a((x \ (x \ 1)) \ 1,y,y \ 1).
a(x,y,y \ 1) * a(x,y,y \ 1) = a(x * x,y,y \ 1).
((a(x,y,z) * x) * u) / (x * u) = a(x,a(x,y,z),u) * a(x,y,z).
R(a(x,y,z),x,u) = a(x,a(x,y,z),u) * a(x,y,z).
a(x,a(x,y,z),u) * a(x,y,z) = R(a(x,y,z),x,u).
L(a(x,y,z),x,u) = a(x,a(x,y,z),u) * a(x,y,z).
a(x,a(x,y,z),u) * a(x,y,z) = L(a(x,y,z),x,u).
a(x,y,z) \ L(a(x,y,z),x,u) = a(x,a(x,y,z),u).
L(a(x,y,z),x,u) = a(x,y,z) * a(x,a(x,y,z),u).
a(x,y,z) * a(x,a(x,y,z),u) = L(a(x,y,z),x,u).
a(x,a(x,y,z),u) \ 1 = L(a(x,y,z),x,u) \ a(x,y,z).
L(a(x,y,z),x,u) \ a(x,y,z) = a(x,a(x,y,z),u) \ 1.
L(a(x,y,z),x,u) != a(x,y,z) * w | a(x,a(x,y,z),u) = w.
a(x,y,z) * (L(u,x,a(x,y,z)) \ u) = L(a(x,y,z),x,u).
((a(x,y,y) * (x \ (x / y))) \ a(x,y,y)) \ a(x,y,y) = T(x \ (R(x,y,y) / y),((x / y) \ x) * 1).
a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w) = a((L(x,y,y) * (z * a(x,y,y))) \ L(x,y,y),u,w).
((a(x,y,z) * z) * u) / (z * u) = a(a(x,y,z),z,u) * a(x,y,z).
R(a(x,y,z),z,u) = a(a(x,y,z),z,u) * a(x,y,z).
a(a(x,y,z),z,u) * a(x,y,z) = R(a(x,y,z),z,u).
L(a(x,y,z),z,u) = a(a(x,y,z),z,u) * a(x,y,z).
a(a(x,y,z),z,u) * a(x,y,z) = L(a(x,y,z),z,u).
a(x,y,z) \ L(a(x,y,z),z,u) = a(a(x,y,z),z,u).
a(x,a(y,z,x),u) * a(y,z,x) = L(a(y,z,x),x,u).
L(a(x,y,z),z,u) = a(x,y,z) * a(z,a(x,y,z),u).
a(x,y,z) * a(z,a(x,y,z),u) = L(a(x,y,z),z,u).
a(x,x,y) \ a(x,x,L(y,y,z)) = a(a(x,x,y),y,z).
a(x,x,L(y,y,z)) = a(x,x,y) * a(y,a(x,x,y),z).
a(x,x,y) * a(y,a(x,x,y),z) = a(x,x,L(y,y,z)).
x * L(x \ a(y,y,z),z,a(y,y,z)) = a(y,y,z) * a(z,a(y,y,z),x).
x * (L(x,y,a(z,z,y)) \ a(z,z,y)) = a(z,z,y) * a(y,a(z,z,y),x).
x * (L(x,y,a(z,z,y)) \ a(z,z,y)) != a(z,z,y) * u | a(y,a(z,z,y),x) = u.
a(x,x,y) * z != u * (L(u,y,a(x,x,y)) \ a(x,x,y)) | a(y,a(x,x,y),u) = z.
a(a(x,x,y) * ((z * u) * a(a(x,x,x \ y),u,z)),w,v5) = a(z * (a(x,x,x \ y) * u),w,v5).
a(a(x,x,y) * ((z * u) * a(a(x,x,y),u,z)),w,v5) = a(z * (a(x,x,x \ y) * u),w,v5).
a((a(x,x,y) * z) * T(u,z),w,v5) = a(u * (a(x,x,x \ y) * z),w,v5).
a(x * (a(y,y,z) * u),w,v5) = a(x * (a(y,y,y \ z) * u),w,v5).
a(x * (a(y,y,y \ z) * u),w,v5) = a(x * (a(y,y,z) * u),w,v5).
((a(x,y,y) * (x \ (x / y))) \ a(x,y,y)) \ a(x,y,y) = T(x \ (R(x,y,y) / y),y * 1).
((a(x,y,y) * (x \ (x / y))) \ a(x,y,y)) \ a(x,y,y) = T(x \ (R(x,y,y) / y),y).
((a(x,y,y) * (x \ (x / y))) \ a(x,y,y)) \ a(x,y,y) = (x * y) \ R(x,y,y).
((x \ (R(x,y,y) / y)) \ a(x,y,y)) \ a(x,y,y) = (x * y) \ R(x,y,y).
a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w) = a((a(x,y,y) * (L(x,y,y) * z)) \ L(x,y,y),u,w).
R(x,x \ y,y \ 1) \ K(R(x,x \ y,y \ 1),z) = K(x,z) * ((x \ y) * (y \ 1)).
R(x,x \ y,y \ 1) \ K(x,z) = K(x,z) * ((x \ y) * (y \ 1)).
R(x \ K(x,y),x \ z,z \ 1) = K(x,y) * ((x \ z) * (z \ 1)).
K(x,y) * ((x \ z) * (z \ 1)) = (x \ z) * (z \ K(x,y)).
((x \ y) \ z) * (z \ K(x \ y,x)) = ((y / x) \ z) * (z \ 1).
L(R(T(x,x \ y) \ 1,z,u),R(T(x,x \ y),z,u),R(T(x,x \ y),z,u) \ y) = y \ (R(x,z,u) \ y).
(L(L(x,y,z),u,w) * (z * y)) \ (L(x,y,z) * (z * y)) = (z * (y * L(x,u,w))) \ (z * (y * x)).
(L(x,y,z) \ x) * (u * L(T(x,u),y,z)) = x * R(u,L(T(x,u),y,z),L(T(x,u),y,z) \ x).
x * R(y,L(T(x,y),z,u),L(T(x,y),z,u) \ x) = (L(x,z,u) \ x) * (y * L(T(x,y),z,u)).
x * R(y,L(T(x,y),z,u),L(T(x,y),z,u) \ x) = (L(x,z,u) \ x) * (L(x,z,u) * y).
x * R(y,L(T(x,y),z,u),L(x,z,u) \ x) = (L(x,z,u) \ x) * (L(x,z,u) * y).
x * R(y,L(x,z,u),L(x,z,u) \ x) = (L(x,z,u) \ x) * (L(x,z,u) * y).
x * L(y,L(x,z,u) \ x,L(x,z,u)) = (L(x,z,u) \ x) * (L(x,z,u) * y).
(L(x,y,z) \ x) * (L(x,y,z) * u) = L(x,y,z) * ((L(x,y,z) \ x) * u).
L(a(x,y,x) \ z,a(x,y,x),L(x,u,w)) = L(R(x,y,x),u,w) \ (L(x,u,w) * z).
L(R(x,y,x),z,u) \ (L(x,z,u) * w) = a(x,y,x) \ w.
L(R(x,y,x),z,u) \ w = a(x,y,x) \ (L(x,z,u) \ w).
a(x,y,x) \ (L(x,z,u) \ w) = L(R(x,y,x),z,u) \ w.
L(R(x,y,x),z,u) \ (x * w) = L(x,z,u) \ (L(x,y,x) * w).
L(R(x,y,x),z,u) \ (x * w) = x * (L(R(x,y,x),z,u) \ w).
L(x,y,L(y \ x,y,y)) = x * (L(R(x,y,x),y,y) \ x).
L(x,y,L(y \ x,y,y)) = x * (L(x,y,y) \ L(x,y,x)).
L(x,y,L(y \ x,y,y)) = a(y,y,x) * L(x,y,x).
x * R(T(y,(y \ L(y,z,u)) * x),y \ L(y,z,u),x) = (y \ L(y,z,u)) \ (L(y,z,u) * x).
a(x,x,y) \ (a(x,x,y) * (a(x \ 1,x,y) / z)) = (a(x,x,y) \ K(z \ 1,(a(x,x,y) \ 1) / z)) / z.
L(x,y * (((y \ z) \ z) \ ((u / (((y \ z) \ z) * u)) \ 1)),w) = L(x,R((y \ z) \ z,y,u),w).
L(x,y * (((y \ z) \ z) \ ((u / (((y \ z) \ z) * u)) \ 1)),w) = L(x,R(y,y,u),w).
L(x,K(y \ z,y) * ((u / (((y \ z) \ z) * u)) \ 1),w) = L(x,R(y,y,u),w).
L(x,R(y,y,z),u) = L(x,K(y \ w,y) * (((((y \ w) \ w) * z) \ z) \ 1),u).
L(x,K(y \ z,y) * (((((y \ z) \ z) * u) \ u) \ 1),w) = L(x,R(y,y,u),w).
L(x,R(y,y,z),u) = L(x,((((y \ w) \ w) * z) \ z) \ 1,u).
L(x,R(y,y,z),u) = L(x,(z \ (((y \ w) \ w) \ z)) \ 1,u).
L(x,R(y,y,z),u) = L(x,(z \ (y \ z)) \ 1,u).
L(x,L(y,y,z),u) = L(x,(z \ (y \ z)) \ 1,u).
L(x,L(y / z,y / z,y),u) = L(x,(y \ z) \ 1,u).
L(x,L(y \ 1,y,z) \ 1,u) = L(x,L(y,y,z),u).
L(x,L(y,y \ 1,z \ 1),u) = L(x,L(y,y,z),u).
L(x,L(y \ 1,y,z \ 1),u) = L(x,L(y \ 1,y \ 1,z),u).
L(x,L(y \ 1,y \ 1,z),u) = L(x,L(y \ 1,y,z \ 1),u).
L((x \ 1) \ K(y,x),((x \ 1) \ 1) \ K(x,y),y * ((x \ 1) \ 1)) = y \ (y / (1 / ((x \ 1) \ K(y,x)))).
R(x,y,(((z \ u) * z) \ ((w / (((z \ u) * z) * w)) \ 1)) * u) = R(x,y,R((z \ u) * z,u,w)).
R(x,y,(((z \ u) * z) \ ((w / (((z \ u) * z) * w)) \ 1)) * u) = R(x,y,R(u,u,w)).
R(x,y,R(z,z,u)) = R(x,y,z * (z \ ((u / (((w \ z) * w) * u)) \ 1))).
R(x,y,z * (z \ ((u / (((w \ z) * w) * u)) \ 1))) = R(x,y,R(z,z,u)).
R(x,y,(z / (((u \ w) * u) * z)) \ 1) = R(x,y,R(w,w,z)).
R(x,y,R(z,z,u)) = R(x,y,(u / (((w \ z) * w) * u)) \ 1).
R(x,y,R(z,z,u)) = R(x,y,((((w \ z) * w) * u) \ u) \ 1).
R(x,y,R(z,z,u)) = R(x,y,(u \ (((w \ z) * w) \ u)) \ 1).
R(x,y,R(z,z,u)) = R(x,y,(u \ (z \ u)) \ 1).
R(x,y,L(z,z,u)) = R(x,y,(u \ (z \ u)) \ 1).
a(x,y,((z * (u / z)) \ ((w / ((z * (u / z)) * w)) \ 1)) * u) = a(x,y,R(z * (u / z),u,w)).
a(x,y,((z * (u / z)) \ ((w / ((z * (u / z)) * w)) \ 1)) * u) = a(x,y,R(u,u,w)).
a(x,y,R(z,z,u)) = a(x,y,z * (z \ ((u / ((w * (z / w)) * u)) \ 1))).
a(x,y,z * (z \ ((u / ((w * (z / w)) * u)) \ 1))) = a(x,y,R(z,z,u)).
a(x,y,(z / ((u * (w / u)) * z)) \ 1) = a(x,y,R(w,w,z)).
a(x,y,R(z,z,u)) = a(x,y,(u / ((w * (z / w)) * u)) \ 1).
a(x,y,R(z,z,u)) = a(x,y,(((w * (z / w)) * u) \ u) \ 1).
a(x,y,R(z,z,u)) = a(x,y,(u \ ((w * (z / w)) \ u)) \ 1).
a(x,y,R(z,z,u)) = a(x,y,(u \ (z \ u)) \ 1).
a(x,y,L(z,z,u)) = a(x,y,(u \ (z \ u)) \ 1).
a(x,y,L(z / u,z / u,z)) = a(x,y,(z \ u) \ 1).
a(x,y,L(z,z,u \ 1)) = a(x,y,u \ ((z \ 1) \ u)).
a(x,y,L(z / u,u \ z,z)) = a(x,y,(z \ u) \ 1).
a(x,y,L(z,z \ 1,u)) = a(x,y,L(z,z,u \ 1)).
a(x,y,(z \ u) \ 1) = a(x,y,L(u \ z,u \ z,z)).
a(x,y,L(z \ u,z \ u,u)) = a(x,y,(u \ z) \ 1).
(1 / L(a(x,y,y \ 1),z,a(x,y,y \ 1))) \ u = a(x,y,y \ 1) * L(u,a(y,y,x),a(y,y,x)).
(1 / a(x,y,y \ 1)) \ z = a(x,y,y \ 1) * L(z,a(y,y,x),a(y,y,x)).
a(x,y,y \ 1) * L(z,a(y,y,x),a(y,y,x)) = (1 / a(x,y,y \ 1)) \ z.
a(x,y,y \ 1) * L(z,a(y,y,x),a(y,y,x)) = (a(x,y,y \ 1) \ 1) \ z.
a(x,y,y \ 1) * L(z,a(y,y,x),a(y,y,x)) = a(x \ 1,y,y \ 1) \ z.
a(x,y,y \ 1) * z = a(x \ 1,y,y \ 1) \ z.
a(x \ 1,y,y \ 1) \ z = a(x,y,y \ 1) * z.
a(x,y,y \ 1) \ z = a(x \ 1,y,y \ 1) * z.
a(x \ 1,y,y \ 1) * z = a(x,y,y \ 1) \ z.
(x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z.
(x * L(x \ 1,x,y)) \ z = a(y,x,x \ 1) * z.
(L(x \ 1,x,y) * x) \ z = a(x * y,x,x \ 1) * z.
L(x,(y * z) \ y,z) = a(y,z,z \ 1) * (z * (((y * z) \ y) * x)).
a(x,y,y \ 1) * (y * (((x * y) \ x) * z)) = L(z,(x * y) \ x,y).
a(x,y,y \ 1) \ z = z * a(x \ 1,y,y \ 1).
x * a(y \ 1,z,z \ 1) = a(y,z,z \ 1) \ x.
(a(x,y,y \ 1) \ 1) * z = a(x,y,y \ 1) \ z.
(x * ((y * x) \ y)) * z = a(y,x,x \ 1) \ z.
(R(x,y,z) * (R(u * x,y,z) \ R(u,y,z))) * w = a(R(u,y,z),R(x,y,z),R(x,y,z) \ 1) \ w.
a(x,y,(z * u) * R(w * ((v5 * w) \ v5),z,u)) = a(x,y,(a(v5,w,w \ 1) \ z) * u).
L((1 / x) \ y,x \ 1,a(z,x,x)) = (z \ (z / x)) \ (a(z,x,x \ 1) \ y).
a(x,y,a(z,u,u \ 1) \ L(w \ 1,w,a(z \ 1,u,u \ 1))) = a(x,y,w \ a(z \ 1,u,u \ 1)).
(a(x,y,y \ 1) \ z) \ 1 = a(x,y,y \ 1) * (z \ 1).
L(x,(y * z) \ y,z) = z * (a(y,z,z \ 1) * (((y * z) \ y) * x)).
x * (a(y,x,x \ 1) * (((y * x) \ y) * z)) = L(z,(y * x) \ y,x).
(x \ (x / y)) \ (a(x,y,y \ 1) \ z) = (1 / y) \ z.
(x \ (x / y)) * ((1 / y) \ z) = a(x,y,y \ 1) \ z.
a(x,y,y \ 1) \ z = (z / (1 / y)) * L(1 / y,y,x).
(x / (1 / y)) * L(1 / y,y,z) = a(z,y,y \ 1) \ x.
a(x,y,y \ 1) \ z = (z / (y \ 1)) * L(y \ 1,y,x).
(x / (y \ 1)) * L(y \ 1,y,z) = a(z,y,y \ 1) \ x.
L(x,a(y,z,z \ 1) \ u,w) = L(x,((z \ 1) \ u) * L(z \ 1,z,y),w).
L(x,((y \ 1) \ z) * L(y \ 1,y,u),w) = L(x,a(u,y,y \ 1) \ z,w).
a(x,a(y,z,z \ 1) \ u,w) = a(x,((z \ 1) \ u) * L(z \ 1,z,y),w).
a(x,((y \ 1) \ z) * L(y \ 1,y,u),w) = a(x,a(u,y,y \ 1) \ z,w).
(R(x,y,z) * R((u * x) \ u,y,z)) * w = a(R(u,y,z),R(x,y,z),R(x,y,z) \ 1) \ w.
a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1) \ w = (R(u,y,z) * R((x * u) \ x,y,z)) * w.
a(R(x,y,z),R(u,y,z),R(u,y,z) \ 1) \ w = R(u * ((x * u) \ x),y,z) * w.
a(L(x,y,z),u,u \ 1) \ w = R(u * ((x * u) \ x),y,z) * w.
R(x * ((y * x) \ y),z,u) * w = a(L(y,z,u),x,x \ 1) \ w.
a(L(x,y,z),u,u \ 1) \ w = w * R(u * ((x * u) \ x),y,z).
x * R(y * ((z * y) \ z),u,w) = a(L(z,u,w),y,y \ 1) \ x.
a(x,y,a(L(z,u,w),v5,v5 \ 1) \ (u * w)) = a(x,y,(a(z,v5,v5 \ 1) \ u) * w).
a(x,y,a(z,u,u \ 1) \ L(w \ 1,w,a(u,u,z \ 1))) = a(x,y,w \ a(z \ 1,u,u \ 1)).
a(x,y,a(z,u,u \ 1) \ L(w \ 1,w,a(z,u,u))) = a(x,y,w \ a(z \ 1,u,u \ 1)).
a(x,x,y) * (((y / (x * y)) * R(x,x,z)) * u) = a(x,x,y) * ((a(x,x,y) \ a(x,x,z)) * u).
a(x,x,y) * ((a(x,x,y) \ a(x,x,z)) * u) = a(x,x,y) * (((y / (x * y)) * R(x,x,z)) * u).
a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1) = (x \ 1) * ((y \ (x \ 1)) \ (y \ 1)).
a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1) = a(y,y \ (x \ 1),(x \ 1) \ 1).
a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1) = a(y,y \ (x \ 1),x).
R(x,a(y,z,z),L(R(z,u,w),a(y,z,z),x)) = x.
R(x,a(y,z,z),R(z,u,w)) = x.
R(x,a(y,z,z),L(z,u,w)) = x.
L(x,a(y,z,z),L(z,u,w)) = x.
a(L(x,y,z),a(u,x,x),w) = 1.
x = L(x,a(y,y,z),L(y,u,w)).
L(x,a(y,y,z),L(y,u,w)) = x.
(L(x,y,z) * a(x,x,u)) \ w = a(x,x,u) \ (L(x,y,z) \ w).
a((x \ L(x,y,y)) \ z,x \ L(x,y,y),z \ 1) = ((x \ L(x,y,y)) \ z) \ (1 / (a(y,y,x) \ (z \ 1))).
a(x,y,(((z * u) \ z) * u) * L(w,w,u \ ((z \ (u \ z)) \ 1))) = a(x,y,(w \ 1) \ (((z * u) \ z) * u)).
x \ (R(y,z,u) \ x) = L(R(T(y,y \ x) \ 1,z,u),R(T(y,y \ x),z,u),R(y,z,u) \ x).
L(R(T(x,x \ y) \ 1,z,u),R(T(x,x \ y),z,u),R(x,z,u) \ y) = y \ (R(x,z,u) \ y).
x \ (R(y,z,y) \ x) = L(R(T(y,y \ x) \ 1,z,y),R(T(y,y \ x),z,y),y \ x).
L(R(T(x,x \ y) \ 1,z,x),R(T(x,x \ y),z,x),x \ y) = y \ (R(x,z,x) \ y).
x \ (R(y,z,y) \ x) = L(R(T(y,y \ x) \ 1,z,y),R(y,z,y),y \ x).
L(R(T(x,x \ y) \ 1,z,x),R(x,z,x),x \ y) = y \ (R(x,z,x) \ y).
x \ (R(y,z,y) \ x) = L(R(T(y,y \ x) \ 1,z,y),y,y \ x).
L(R(T(x,x \ y) \ 1,z,x),x,x \ y) = y \ (R(x,z,x) \ y).
x \ (R(y,z,y) \ x) = R((y * (y \ x)) \ ((y \ x) * 1),z,y).
R((x * (x \ y)) \ ((x \ y) * 1),z,x) = y \ (R(x,z,x) \ y).
R(x \ ((y \ x) * 1),z,y) = x \ (R(y,z,y) \ x).
R(x \ (y \ x),z,y) = x \ (R(y,z,y) \ x).
a(x,y,x) * R(z \ (x \ z),y,x) = z \ (x \ z).
L(x,y,R(z \ (u \ z),w,u)) = L(x,y,z \ (u \ z)).
L(x,R(y \ (z \ y),u,z),w) = L(x,y \ (z \ y),w).
R(a(x,y,x) * (z \ (x \ z)),y,x) = z \ (x \ z).
a(x,y,z \ (u \ z)) = a(x,y,R(z \ (u \ z),w,u)).
a(x,y,R(z \ (u \ z),w,u)) = a(x,y,z \ (u \ z)).
R(x \ (L(y,z,y) \ x),z,y) = x \ (y \ x).
x \ (y \ x) = R(x,y,y) \ (L(y,y,x) \ x).
R(x,y,y) \ (L(y,y,x) \ x) = x \ (y \ x).
L(x,y,L(z \ (u \ z),w,u)) = L(x,y,z \ (u \ z)).
L(x,L(y \ (z \ y),u,z),w) = L(x,y \ (z \ y),w).
a(x,y,L(z \ (u \ z),w,u)) = a(x,y,z \ (u \ z)).
L(x,y,(z * u) \ u) = L(x,y,u \ (z \ u)).
L(x,y,z \ (u \ z)) = L(x,y,(u \ z) \ (u \ (u \ z))).
L(x,y,(z \ u) \ (z \ (z \ u))) = L(x,y,u \ (z \ u)).
L(x,y,z \ u) = L(x,y,u \ ((z / u) \ u)).
L(x,y,z \ ((u / z) \ z)) = L(x,y,u \ z).
T(x,y) / L(y,x,x \ (y \ x)) = (T(x,y) / (x * y)) * x.
L(x,y,z \ (u \ z)) = L(x,y,(z * u) \ z).
L(x,y,(z * u) \ z) = L(x,y,z \ (u \ z)).
L(x,y,z \ ((z \ u) \ z)) = L(x,y,u \ z).
L(x,y,L(z \ 1,z,u)) = L(x,y,u \ (z \ u)).
a(x \ 1,x,y) \ ((y / (x * y)) * z) = L(x \ z,x,y \ (x \ y)).
L(x,y,x) / L(x,z,x \ (z \ x)) = (L(x,y,x) / (z * x)) * z.
L(x,y,L(z,z \ 1,u)) = L(x,y,u \ ((1 / z) \ u)).
L(L(x,y,x),z,x \ (z \ x)) = (z \ R(z,z,x)) * L(x,y,x).
L(x,y,x \ (y \ x)) = (y \ R(y,y,x)) * x.
L(x,y,x \ (y \ x)) \ L(x,z,x) = a(x,z,x) \ (R(y,y,x) \ y).
L(x,y,y \ (x \ y)) = (y / R(x,y,x)) \ y.
L(x \ y,x,(x \ y) \ (x \ (x \ y))) = (x \ (((x \ y) / y) \ 1)) * (x \ y).
L(x,y,x \ (y \ x)) = L(x,y,y \ 1).
L(L(x,y,y \ 1),z,u) = L(L(x,z,u),y,x \ (y \ x)).
L(L(x,y,z),u,x \ (u \ x)) = L(L(x,u,u \ 1),y,z).
L(x,y \ x,(y \ x) \ 1) = L(x,y \ x,x \ y).
L(x,y,y \ (x \ y)) = R(x,y,x).
L(x / y,T(z,y \ x),z \ ((x / y) \ z)) = R(x / y,T(z,y \ x),x / y).
R(x \ y,x,x \ y) = L(x \ y,x,y \ x).
L(x \ y,x,y \ x) = R(x \ y,x,x \ y).
T((x * (y \ x)) / x,y) = L(y \ x,y,x \ y).
x / T((y * (x \ y)) / y,x) = (x / y) * x.
x / T(((a(y,z,u) / (x \ 1)) * R(a(y,z,u),x,x)) / (a(y,z,u) / (x \ 1)),x) = (x / (a(y,z,u) / (x \ 1))) * x.
L(x,(x * y) \ x,((x * y) \ x) \ 1) = L(x,(x * y) \ x,y).
L(x,(y * z) \ z,u) = L(x,z \ (y \ z),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).
L(x,y \ (z \ y),a(u,L(z,z,y),L(z,z,y))) = x.
L(x,L(y \ 1,y,z),u) = L(x,z \ (y \ z),u).
L(L(x,x \ 1,y) \ 1,y \ ((x \ 1) \ y),y) = y \ (y * (x \ 1)).
x * (a(y,x,x \ 1) * (((y * x) \ y) * z)) = L(z,y \ (x \ y),x).
L(x,y \ (z \ y),L(z \ 1,z,y)) = R(z \ 1,z,y) \ (R(z,z,y) \ x).
a(x,y,(z * u) \ u) = a(x,y,u \ (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)).
a(x,y,L(z \ 1,z,u)) = a(x,y,u \ (z \ u)).
a(x,y,R(z * u,w,v5) \ R(z,w,v5)) = a(x,y,R(z,w,v5) \ (R(u,w,v5) \ R(z,w,v5))).
a(x,y,R(z,u,w) \ (R(v5,u,w) \ R(z,u,w))) = a(x,y,R(z * v5,u,w) \ R(z,u,w)).
x \ R(x,x * y,L(y \ 1,y,x)) = a(x,x * y,x \ (y \ x)).
R(x,T(x * y,z),T(x * y,z) \ x) = x * a(x,T(x * y,z),x \ (y \ x)).
a(x,y,((1 / z) \ u) \ z) = a(x,y,z \ (L(u,z,z) \ z)).
a(x,y,z \ (L(u,z,z) \ z)) = a(x,y,((1 / z) \ u) \ z).
a(x,x,x \ (y \ x)) = a(x,x,y \ 1).
a(x,a(y,y,z \ 1),u) = a(x,a(y,y,z \ y),u).
a(a(x,x,y \ 1),z,u) = a(a(x,x,y \ x),z,u).
a(a(x,x,y \ x),z,u) = a(a(y,x,x),z,u).
a(a(x,x,y),z,u) = a(a(y \ x,x,x),z,u).
a(a(x \ y,y,y),z,u) = a(a(y,y,x),z,u).
L(x,y,((1 / z) \ u) / u) = L(x,y,L(z,z \ 1,u)).
L(x,y,L(z,z \ 1,u)) = L(x,y,((1 / z) \ u) / u).
L(x,y,L(z,z \ 1,u)) = L(x,y,a(z,z,u) \ z).
T(x,y) / R(y,x,y) = (T(x,y) / (x * y)) * x.
T(x,y) / R(y,x,y) = R(1 / y,y,x) * x.
(R(1 / x,x,y) * y) \ T(y,x) = R(x,y,x).
a(x,y,R(1 / z,z,u) \ a(R(1 / z,z,u),u,u)) = a(x,y,u * ((T(u,z) / R(z,u,z)) \ 1)).
(R(1 / x,x,y * a(x,x,y)) * (y * a(x,x,y))) \ ((1 / x) * (y * x)) = R(x,y * a(x,x,y),x).
a(x,y,z \ (L(u,z,z) \ z)) = a(x,y,((z \ 1) \ u) \ z).
(x \ R(x,x,y)) * L(y,z,y) = L(L(y,x,x \ 1),z,y).
a(x,x,y) * L(y,z,y) = L(L(y,x,x \ 1),z,y).
L(L(x,y,y \ 1),z,x) = a(y,y,x) * L(x,z,x).
L(x * a(y,y,x),z,x) = a(y,y,x) * L(x,z,x).
L(x,y,L(y \ x,y,y)) = L(x * a(y,y,x),y,x).
L(x * a(y,y,x),y,x) = L(x,y,L(y \ x,y,y)).
L(x,y,L(y \ x,y,x)) = L(x * a(y,y,x),y,x).
L(x * a(y,y,x),y,x) = L(x,y,L(y \ x,y,x)).
L(L(x,y,y \ 1),y,x) = L(x,y,L(y \ x,y,x)).
L(L(x,y,y \ 1),y,x) = L(x,y,y \ x).
L(a(x,y,z),u,u \ a(x,y,z)) = L(a(x,y,z),u,u \ 1).
a(x,y,L(L(z,u,u \ z),w,v5)) = a(x,y,L(L(z,u,u \ 1),w,v5)).
a(x,y,L(L(z,u,u \ 1),w,v5)) = a(x,y,L(L(z,u,u \ z),w,v5)).
L(x,(x * y) \ x,((x * y) \ x) \ 1) = L(x,x \ (y \ x),y).
L(x,(x * y) \ x,((x * y) \ x) \ 1) = L(x,y \ 1,y).
L(x,y \ 1,y) = L(x,(x * y) \ x,(x \ (y \ x)) \ 1).
L(x,(x * y) \ x,(x \ (y \ x)) \ 1) = L(x,y \ 1,y).
L(x,y \ 1,y) = L(x,x \ (y \ x),(x \ (y \ x)) \ 1).
L(x,x \ (y \ x),(x \ (y \ x)) \ 1) = L(x,y \ 1,y).
L(x,y \ 1,y) = (1 / ((y \ x) / x)) * (y \ x).
(1 / ((x \ y) / y)) * (x \ y) = L(y,x \ 1,x).
L(x,y,x) / L(x,z,z \ 1) = (L(x,y,x) / (z * x)) * z.
(L(x,y,x) / (z * x)) * z = L(x,z,z \ 1) \ L(x,y,x).
L(x,y,y \ 1) \ L(x,z,x) = (L(x,z,x) / (y * x)) * y.
x \ R(x,x * y,x \ (y \ x)) = a(x,x * y,x \ (y \ x)).
L(x,y,x \ (y \ x)) \ L(x,z,x) = x \ L(L(x,z,x),y,y).
L(x,y,y \ 1) \ L(x,z,x) = x \ L(L(x,z,x),y,y).
x \ L(L(x,y,x),z,z) = (L(x,y,x) / (z * x)) * z.
(L(x,y,x) / (z * x)) * z = x \ L(L(x,y,x),z,z).
(x / (y * R(x,z,x))) * y = x \ L(L(x,z,x),y,y).
(x / T(x * y,x)) * y = x \ L(L(x,y,x),y,y).
x \ L(L(x,y,x),y,y) = (x / T(x * y,x)) * y.
L(L(x,x \ 1,y) \ 1,y \ ((x \ 1) \ y),y) = x \ 1.
L(L(x \ 1,x,y \ 1),y \ ((x \ 1) \ y),y) = x \ 1.
x \ 1 = L(L(x \ 1,(x \ 1) \ 1,y),x,y \ 1).
L(L(x \ 1,(x \ 1) \ 1,y),x,y \ 1) = x \ 1.
L(L(x \ 1,x,y),x,y \ 1) = x \ 1.
x \ 1 = L(L(x \ 1,x,y \ 1),x,y).
L(L(x \ 1,x,y \ 1),x,y) = x \ 1.
L((x * y) \ x,y,x \ 1) = y \ 1.
(((x * y) \ x) \ (y \ 1)) * (1 / ((x * y) \ x)) = (((x * y) \ x) \ L((x * y) \ x,y,x \ 1)) / ((x * y) \ x).
(((x * y) \ x) \ L((x * y) \ x,y,x \ 1)) / ((x * y) \ x) = (((x * y) \ x) \ (y \ 1)) * (1 / ((x * y) \ x)).
L(L((1 / x) \ 1,1 / x,y \ 1),1 / x,y) = x.
L(L(x,1 / x,y \ 1),1 / x,y) = x.
L(L(x,x \ 1,y \ 1),1 / x,y) = x.
x = L(L(x,x \ 1,y \ 1),x \ 1,y).
L(L(x,x \ 1,y \ 1),x \ 1,y) = x.
(x * (y \ 1)) * y = x * ((y \ 1) * L(y,y \ 1,x \ 1)).
x * ((y \ 1) * L(y,y \ 1,x \ 1)) = (x * (y \ 1)) * y.
L(x * a(y,x,x \ 1),x \ 1,y) = x.
(x / (y \ 1)) \ (y * x) = (y \ 1) * T(y * a((y \ 1) \ x,y,y \ 1),x).
(x \ 1) * T(x * a((x \ 1) \ y,x,x \ 1),y) = (y / (x \ 1)) \ (x * y).
x * (L(y \ 1,y,x \ 1) * y) = (x * (y \ 1)) * y.
x * a(y \ x,y,y \ 1) = (x * (y \ 1)) * y.
R(x \ 1,x,y) \ (R(x,x,y) \ z) = L(z,y \ (x \ y),y \ (x \ y)).
L(x,y \ (z \ y),y \ (z \ y)) = R(z \ 1,z,y) \ (R(z,z,y) \ x).
(x \ (((x \ y) / y) \ 1)) * (x \ y) = L(x \ y,x,y \ (x \ y)).
L(x \ y,x,y \ (x \ y)) = (1 / x) * y.
((1 / x) * y) \ (y / x) = ((y / x) / y) * x.
x \ (((1 / y) \ x) / y) = ((((1 / y) \ x) / y) / ((1 / y) \ x)) * y.
((((1 / x) \ y) / x) / ((1 / x) \ y)) * x = y \ (((1 / x) \ y) / x).
((1 / ((x \ y) / y)) * (x \ y)) \ ((x \ y) / ((x \ y) / y)) = (K(y \ (x \ y),y) * x) * ((x \ y) / y).
(x \ 1) * T(x * a(1 \ (x * y),x,x \ 1),y) = (y / (x \ 1)) \ (x * y).
(x \ 1) * T(x * a(x * y,x,x \ 1),y) = (y / (x \ 1)) \ (x * y).
(x \ 1) * T(L(x \ 1,x,y) \ 1,y) = (y / (x \ 1)) \ (x * y).
(x \ 1) * (((x * y) \ y) \ 1) = (y / (x \ 1)) \ (x * y).
R(x / y,T(y,y \ x),x / y) = L(x / y,T(y,y \ x),x \ y).
L(x / y,T(y,y \ x),x \ y) = R(x / y,T(y,y \ x),x / y).
R(x / y,T(y,y \ x),x / y) = L(x / y,y,x \ y).
L(x / y,y,x \ y) = R(x / y,T(y,y \ x),y \ x).
R(x / y,T(y,y \ x),y \ x) = L(x / y,y,x \ y).
L(x / y,y,x \ y) = R(x / y,y,y \ x).
L(x / y,y,x \ y) = y \ T(x,y \ x).
x \ T(y \ x,x \ (y \ x)) = L((y \ x) / x,x,y).
x \ T(y \ x,x \ (y \ x)) = L(R(1 / y,y,y \ x),x,y).
L(R(1 / x,x,x \ y),y,x) = y \ T(x \ y,y \ (x \ y)).
L(R(1 / x,x,x \ y),y,x) = y \ T(x \ y,x \ 1).
R(x,T(x * y,z),T(x * y,z) \ x) = x * a(x,x * y,x \ (y \ x)).
a(x,y,R(z,u,w) \ (R(v5,u,w) \ R(z,u,w))) = a(x,y,R((z * v5) \ z,u,w)).
a(x,y,R((z * u) \ z,w,v5)) = a(x,y,R(z \ (z / u),w,v5)).
a(x,y,R((z * u) \ z,w,v5)) = a(x,y,R(z \ (u \ z),w,v5)).
a(x,y,L((z * u) \ z,w,v5)) = a(x,y,R(z \ (u \ z),w,v5)).
a(x,y,L(z \ (u \ z),w,v5)) = a(x,y,L((z * u) \ z,w,v5)).
a(x,y,L((z * u) \ z,w,v5)) = a(x,y,L(z \ (u \ z),w,v5)).
a(x,y,L(L(z \ 1,z,u),w,v5)) = a(x,y,L(u \ (z \ u),w,v5)).
a(x,x,L(x \ (y \ x),z,u)) = a(x,x,L(y \ 1,z,u)).
a(x,y,R(1 / z,z,u) \ a(L(1 / z,z,u),u,u)) = a(x,y,u * ((T(u,z) / R(z,u,z)) \ 1)).
a(x,y,R(1 / z,z,u) \ a(1 / z,u,u)) = a(x,y,u * ((T(u,z) / R(z,u,z)) \ 1)).
a(x,y,R(1 / z,z,u) \ a(z \ 1,u,u)) = a(x,y,u * ((T(u,z) / R(z,u,z)) \ 1)).
a(x,y,R(z,z,u) * a(z \ 1,u,u)) = a(x,y,u * ((T(u,z) / R(z,u,z)) \ 1)).
a(x,y,z * ((T(z,u) / R(u,z,u)) \ 1)) = a(x,y,R(u,u,z) * a(u \ 1,z,z)).
a(x,y,z * ((T(z,u) / R(u,z,u)) \ 1)) = a(x,y,a(u,z,z) \ R(u,u,z)).
a(x,y,z * ((T(z,u) / R(u,z,u)) \ 1)) = a(x,y,R(a(u,z,z) \ u,u,z)).
a(x,y,L(z * a(u,u,z),z,u)) = a(x,y,u * ((T(u,z) / R(z,u,z)) \ 1)).
a(x,y,z * ((T(z,u) / R(u,z,u)) \ 1)) = a(x,y,L(u * a(z,z,u),u,z)).
a(x,y,R(R(z,u,z),u \ z,u)) = a(x,y,L(z * a(u,u,z),z,u)).
a(x,y,L(z * a(u,u,z),z,u)) = a(x,y,R(R(z,u,z),u \ z,u)).
a(x,y,L(R(z,u,z),u \ z,u)) = a(x,y,L(z * a(u,u,z),z,u)).
a(x,y,L(z * a(u,u,z),z,u)) = a(x,y,L(R(z,u,z),u \ z,u)).
a(x,y,L(L(z,u,z),u \ z,u)) = a(x,y,L(z * a(u,u,z),z,u)).
a(x,y,L(z * a(u,u,z),z,u)) = a(x,y,L(L(z,u,z),u \ z,u)).
a(x,y,L(z * a(u,u,z),z,u)) = a(x,y,L(z,u \ z,u)).
((1 / x) * y) \ ((1 / x) * (y * x)) = R(x,y * a(x,x,y),x).
R(x,y * a(x,x,y),x) = ((1 / x) * y) \ ((1 / x) * (y * x)).
L(x,y,1 / x) = R(x,y * a(x,x,y),x).
R(x,y * a(x,x,y),x) = L(x,y,1 / x).
R(x,y * a(x,x,y),x) = L(x,y,x \ 1).
L(x,y \ 1,y) \ ((y \ x) / ((y \ x) / x)) = (K(x \ (y \ x),x) * y) * ((y \ x) / x).
L(x,y \ 1,y) \ (x * K(y \ 1,x)) = (K(x \ (y \ x),x) * y) * ((y \ x) / x).
(K(x \ (y \ x),x) * y) * ((y \ x) / x) = L(x,y \ 1,y) \ (x * K(y \ 1,x)).
(K(x \ (y \ x),x) * y) * ((y \ x) / x) = (L(x,y \ 1,y) \ x) * K(y \ 1,x).
(K(x \ (y \ x),x) * y) * ((y \ x) / x) = a(y,y \ 1,x) * K(y \ 1,x).
(K(x \ (y \ x),x) * y) * ((y \ x) / x) = (y \ x) / (x * (y \ 1)).
(K(x \ 1,y) * x) * ((x \ y) / y) = (x \ y) / (y * (x \ 1)).
(x * K(1 / x,y)) * ((x \ y) / y) = (x \ y) / (y * (x \ 1)).
(x * K(x \ 1,y)) * ((x \ y) / y) = (x \ y) / (y * (x \ 1)).
(x \ y) / (y * (x \ 1)) = x * (K(x \ 1,y) * ((x \ y) / y)).
x * (K(x \ 1,y) * ((x \ y) / y)) = (x \ y) / (y * (x \ 1)).
x * T((x \ y) / y,y) = (x \ y) / (y * (x \ 1)).
(x \ y) / (y * (x \ 1)) = x * T((x \ y) / y,y).
(x \ y) / (y * (x \ 1)) = x * (y \ (x \ y)).
(x * (y \ (x \ y))) * K(z,y * (x \ 1)) = (x \ y) / T(y * (x \ 1),z).
x \ (x / (1 / ((y \ 1) \ K(x,y)))) = L((y \ 1) \ K(x,y),((y \ 1) \ 1) \ K(y,x),y * x).
L((x \ 1) \ K(y,x),((x \ 1) \ 1) \ K(x,y),x * y) = y \ (y / (1 / ((x \ 1) \ K(y,x)))).
x \ (x / (1 / ((y \ 1) \ K(x,y)))) = L((y \ 1) \ K(x,y),((y \ 1) \ 1) \ 1,y * x).
L((x \ 1) \ K(y,x),((x \ 1) \ 1) \ 1,x * y) = y \ (y / (1 / ((x \ 1) \ K(y,x)))).
x \ (x / (1 / ((y \ 1) \ K(x,y)))) = L((y \ 1) \ K(x,y),y \ 1,y * x).
L((x \ 1) \ K(y,x),x \ 1,x * y) = y \ (y / (1 / ((x \ 1) \ K(y,x)))).
x \ (x / (1 / ((y \ 1) \ K(x,y)))) = ((y * x) * (y \ 1)) \ (x * y).
((x * y) * (x \ 1)) \ (y * x) = y \ (y / (1 / ((x \ 1) \ K(y,x)))).
x \ (x / (1 / ((y \ 1) \ K(x,y)))) = (x * y) / R(x,y,y \ 1).
x \ (x / (K(y,x) * (y \ 1))) = (x * y) / R(x,y,y \ 1).
x \ (x / (y \ K(y,x))) = (x * y) / R(x,y,y \ 1).
(x * y) / R(x,y,y \ 1) = (x / (y \ 1)) / x.
((x / (1 / y)) / x) / (1 / (1 / y)) = ((x / (y \ 1)) / x) / y.
((x / (y \ 1)) / x) / y = ((x / (1 / y)) / x) * (1 / y).
((x / (1 / y)) / x) * (1 / y) = ((x / (y \ 1)) / x) / y.
((x / (1 / y)) / x) * (1 / y) = y \ ((x / (y \ 1)) / x).
x \ ((y / (x \ 1)) / y) = x * ((x * y) \ y).
a((x \ L(x,y,y)) \ z,x \ L(x,y,y),z \ 1) = (a(y,y,x) * z) \ (1 / (a(y,y,x) \ (z \ 1))).
a((x \ L(x,y,y)) \ z,x \ L(x,y,y),z \ 1) = (a(y,y,x) * z) \ (a(y,y,x) * z).
a((x \ L(x,y,y)) \ z,x \ L(x,y,y),z \ 1) = 1.
a(a(x,x,y) * z,y \ L(y,x,x),z \ 1) = 1.
a(x,y,(((z * u) \ z) * u) * L(w,w,a(u,u,z))) = a(x,y,(w \ 1) \ (((z * u) \ z) * u)).
a(x,y,(z \ 1) \ (((u * w) \ u) * w)) = a(x,y,((u \ (w \ u)) * w) * L(z,z,a(w,w,u))).
a(x,y,((z \ (u \ z)) * u) * L(w,w,a(u,u,z))) = a(x,y,(w \ 1) \ (((z * u) \ z) * u)).
a(x,y,(z \ 1) \ (((u * w) \ u) * w)) = a(x,y,a(w,w,u) \ L(z,z,a(w,w,u))).
a(x,y,a(z,z,u) \ L(w,w,a(z,z,u))) = a(x,y,(w \ 1) \ (((u * z) \ u) * z)).
a(x,y,(a(z,z,u) / w) \ 1) = a(x,y,(w \ 1) \ (((u * z) \ u) * z)).
a(x,y,(z \ 1) \ (((u * w) \ u) * w)) = a(x,y,(a(w,w,u) / z) \ 1).
a(x,y,(z \ 1) \ (((u * w) \ u) * w)) = a(x,y,(z \ a(w,w,u)) \ 1).
a(x,y,(z \ a(u,u,w)) \ 1) = a(x,y,(z \ 1) \ (u * ((w * u) \ w))).
a(x,y,(z \ 1) \ (u * ((w * u) \ w))) = a(x,y,(z \ a(u,u,w)) \ 1).
R(R((x / (y * x)) \ (1 / y),z,u),R(1 / y,z,u) \ 1,y * x) = a(R(1 / y,z,u) \ 1,y,x).
R(R(a(x,x,y),z,u),R(1 / x,z,u) \ 1,x * y) = a(R(1 / x,z,u) \ 1,x,y).
R(a(x,x,L(y,z,u)),R(1 / x,z,u) \ 1,x * y) = a(R(1 / x,z,u) \ 1,x,y).
R(a(x,x,L(y,z,u)),R(x,z,u),x * y) = a(R(1 / x,z,u) \ 1,x,y).
R(a(x,x,L(y,z,u)),L(x,z,u),x * y) = a(R(1 / x,z,u) \ 1,x,y).
a(x,x,L(L(y,z,u),L(x,z,u),x * y)) = a(R(1 / x,z,u) \ 1,x,y).
a(x,x,L(L(y,z,u),L(x,z,u),x * y)) = a(R(x,z,u),x,y).
a(L(x,y,z),x,u) = a(x,x,L(L(u,y,z),L(x,y,z),x * u)).
a(x,x,L(L(y,z,u),L(x,z,u),x * y)) = a(L(x,z,u),x,y).
a(L(x,y,z),x,u) = a(x,x,L(u,y,z)).
a(x,x,L(y,z,u)) = a(x,L(x,z,u),y).
a(x,L(x,y,z),u) = a(x,x,L(u,y,z)).
a(x,x,L(y,z,z \ x)) = a(x,a(z,z,x) * x,y).
a(x,a(y,y,x) * x,z) = a(x,x,L(z,y,y \ x)).
((x * L(x,y,z)) * u) / L(x * u,L(x,y,z),a(x,x,L(u,y,z))) = a(L(x,y,z),x,u) * L(x,y,z).
a(x,x,y) = a(x,x,L(y,a(x,x,z),u)).
a(x,x,L(y,a(x,x,z),u)) = a(x,x,y).
a(L(x,y,y),x,z) = a(L(x,y,y),L(x,y,y),L(z,y,y \ 1)).
a(L(x,y,y),L(x,y,y),L(z,y,y \ 1)) = a(L(x,y,y),x,z).
a(x * y,x * y,L(z,x,x)) = a(x * y,(x \ 1) \ y,z).
a(L(x,y,z) * u,x,a(x,x,L(u,y,z))) \ R(x,L(x,y,z),u) = x * a(x,L(x,y,z),u).
a(x,a(y,y,x) * x,z) = a(x,x,L(z,y,y \ 1)).
(L(x,y,z) * a(x,x,L(L(u,x,L(x,y,z)),y,z))) \ (L(x,y,z) * u) = L(u,x,L(x,y,z)).
a(x,x,y) \ (a(x,x,z) * u) = (a(x,x,y) \ a(x,x,z)) * u.
a(x,x,L(y,z,z \ 1)) = a(x,x,L(y,z,z \ x)).
a(x,x,(1 / y) * z) = a(x,x,L(y \ z,y,y \ x)).
a(x,x,L(y \ z,y,y \ x)) = a(x,x,(1 / y) * z).
a(x,x,L(y \ z,y,y \ x)) = a(x,x,(y \ 1) * z).
a(x,x,(y \ 1) * z) = a(x,x,((y \ x) * y) \ (z * (y \ x))).
a(x,x,((y \ x) * y) \ (z * (y \ x))) = a(x,x,(y \ 1) * z).
a(x,x,(y \ 1) * z) = a(x,x,(x \ (x / y)) * z).
a(x,x,(x \ (x / y)) * z) = a(x,x,(y \ 1) * z).
a(x,x,(y \ 1) * z) = a(x,x,(x / y) * (x \ z)).
a(x,x,(x / y) * (x \ z)) = a(x,x,(y \ 1) * z).
a(x,x,(y \ 1) * z) = a(x,x,(y \ x) * (x \ z)).
a(x,x,(y \ x) * (x \ z)) = a(x,x,(y \ 1) * z).
a(((x / y) * z) * u,((x / y) * z) * u,L(w,(x / y) * z,(y \ x) * z)) = a(((x / y) * z) * u,(((x / y) * z) \ 1) \ u,w).
a(x * K(y,y \ z),(x / ((y \ z) * y)) * z,L(u,x / ((y \ z) * y),x / ((y \ z) * y))) = a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u).
a(L(x,y,y),L(x,y,y),L(z,y,y \ 1)) = a(x,x,L(z,y,y)).
(a(x,x,y) \ a(x,x,z)) * u = a(x,x,z) * (a(x,x,y) \ u).
a(x,x,(y \ 1) * z) = a(x,x,x \ (z * (y \ x))).
a(x,x,x \ (y * (z \ x))) = a(x,x,(z \ 1) * y).
a(x,x,(y \ 1) * z) = a(x,x,z * (x \ (y \ x))).
a(x,x,y * (x \ (z \ x))) = a(x,x,(z \ 1) * y).
a(x,x,L(y,z,z)) = a(x,x,L(y,z,z \ 1)).
a(x,x,L(y,z,z \ 1)) = a(x,x,L(y,z,z)).
x \ a(y,y,L(z,x,x)) = a(y,y,z) * (x \ 1).
(1 / x) \ a(y,y,L(z,x,x)) = a(y,y,z) * x.
a(x,x,L(y,z,z)) = a(x,x,L(y,z,z \ y)).
a(x,x,L(y,z,z \ y)) = a(x,x,L(y,z,z)).
(a(x,x,y) / z) \ a(x,x,L(y,z,z)) = L(z,z,a(x,x,y)).
a(x,x,L(y,z,z)) = a(x,x,L(y,z,z \ x)).
a(x,x,L(y,z,z \ x)) = a(x,x,L(y,z,z)).
a(x,x,L(y * z,z,T(y,z))) = a(x,x,L(y * z,z,z)).
a(x,x,L(y,z \ x,z)) = a(x,x,L(y,z \ x,z \ x)).
a(x,x,L(y,z \ x,z \ x)) = a(x,x,L(y,z \ x,z)).
1 / (1 / (a(x,x,L(y,1 / z,1 / z)) \ (z \ a(x,x,L(y,1 / z,1 / z))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
a(x,x,L(y * z,z,y)) = a(x,x,L(y * z,z,z)).
a(x,x,L(y * z,z,z)) = a(x,x,L(y * z,z,y)).
a(x,x,L(y * z,z,y)) = a(x,x,(z \ 1) \ y).
a(x,x,(y \ 1) \ z) = a(x,x,(y * y) * (y \ z)).
a(x,x,(y * y) * (y \ z)) = a(x,x,(y \ 1) \ z).
L(x,x,a(y,y,z)) = L(x,x,a(z,y,y)).
L(x,x,a(y,z,z)) = L(x,x,a(z,z,y)).
(a(x,y,y) * (1 / z)) * L(z,z,a(y,y,x)) = R(a(x,y,y),z * z,z \ 1).
R(a(x,x,y),z,z) \ (L(z,z,a(y,x,x)) \ a(x,x,y)) = a(x,x,y) \ (z \ a(x,x,y)).
a(x,x,y) * (a(x,x,z) * (a(x,x,y) \ u)) = a(x,x,y) * (((y / (x * y)) * R(x,x,z)) * u).
R(a(x,y,y),z * z,z \ 1) = a(x,y,y).
a(x,x,L(y,z,z)) \ (L(z,z,a(y,x,x)) \ a(x,x,y)) = a(x,x,y) \ (z \ a(x,x,y)).
a(x,x,L(y,z,z)) \ (a(x,x,y) * (z \ 1)) = a(x,x,y) \ (z \ a(x,x,y)).
1 \ R(x,L(x,y,z),u) = x * a(x,L(x,y,z),u).
x * a(x,L(x,y,z),u) = R(x,L(x,y,z),u).
x * a(x,x,L(y,z,u)) = R(x,L(x,z,u),y).
R(x,L(x,y,z),u) = R(x,x,L(u,y,z)).
L(x,L(x,y,z),a(u,w,v5)) = R(x,x,L(a(u,w,v5),y,z)).
L(R(x,x,L(y,z,u)) \ x,x \ 1,L(x,z,u) * y) = a(x \ 1,L(x,z,u),y).
a(L(x,L(x,y,z),u),w,v5) = a(R(x,x,L(u,y,z)),w,v5).
a(x,L(y,L(y,z,u),w),v5) = a(x,R(y,y,L(w,z,u)),v5).
R(x,L(y,L(y,z,u),w),v5) = R(x,R(y,y,L(w,z,u)),v5).
a(x,y,L(z,L(z,u,w),v5)) = a(x,y,R(z,z,L(v5,u,w))).
R(x \ R(x,x,L(y,z,u)),z,u) = a(L(x,z,u),L(x,z,u),y).
R(a(L(x,y,z),u,a(w,v5,x)) / L(v6,v7,v8),L(v6,v9,v10),v11) = 1 / L(R(v6,v6,L(v11,v9,v10)),v7,v8).
R(x,L(x,x,y),z) = R(x,x,z).
R(R(x,x,y),z,u) = R(R(x,z,u),L(x,x,w),y).
R(R(x,y,z),L(x,x,u),w) = R(R(x,x,w),y,z).
R(K(x,y) / z,L(z,z,u),w) = K(x,y) / R(z,z,w).
R(R(x,x,y) \ x,x,z) = a(z \ (x \ z),L(x,x,z),y).
a(x,y,y) \ a(L(y,y,x),L(y,y,x),z) = y \ L(R(y,y,z),y,x).
a(R(x,y,z),L(x,x,u),w) = L(R(x,y,z) \ R(R(x,x,w),y,z),R(x,y,z),L(x,x,u) * w).
L(R(x,y,z) \ R(R(x,x,u),y,z),R(x,y,z),L(x,x,w) * u) = a(R(x,y,z),L(x,x,w),u).
a(x,x,y) * a(R(x,x,y),R(x,x,y),z) = (1 / x) * R(R(x,x,z),x,y).
R(K(x,y) / z,z,u) = R(K(x,y) / z,L(z,z,w),u).
R(K(x,y) / z,L(z,z,u),w) = R(K(x,y) / z,z,w).
R(R(K(x,y) / x,x,y),x,z) = y / (y * R(x,x,z)).
R(x / (y * T(x,y)),y,z) = x / (x * R(y,y,z)).
R(x / (x * y),y,z) = x / (x * R(y,y,z)).
L(x,x,L(a(y,z,u),w,v5)) = L(x,L(x,w,v5),a(y,z,u)).
L(x,L(x,y,z),a(u,w,v5)) = L(x,x,L(a(u,w,v5),y,z)).
a(L(x,x,L(y,z,u)),w,v5) = a(L(x,L(x,z,u),y),w,v5).
a(L(x,L(x,y,z),u),w,v5) = a(L(x,x,L(u,y,z)),w,v5).
a(x,L(y,y,L(z,u,w)),v5) = a(x,L(y,L(y,u,w),z),v5).
a(x,L(y,L(y,z,u),w),v5) = a(x,L(y,y,L(w,z,u)),v5).
R(x,L(y,y,L(z,u,w)),v5) = R(x,L(y,L(y,u,w),z),v5).
R(x,L(y,L(y,z,u),w),v5) = R(x,L(y,y,L(w,z,u)),v5).
a(x,y,L(z,z,L(u,w,v5))) = a(x,y,L(z,L(z,w,v5),u)).
a(x,y,L(z,L(z,u,w),v5)) = a(x,y,L(z,z,L(v5,u,w))).
a(x \ (y \ x),L(y,y,x),z) = a(y \ 1,y,z).
L(x,L(y,y,z),L(y,y,z)) = x * a(y \ 1,y,x).
a(L(x,x,y),L(x,x,y),z) = a(x \ 1,x,z) \ 1.
a(x \ a(y,x,x),L(x,x,y),z) = a(x \ 1,x,z).
L(x,L(y,y,z),L(y,y,z)) = L(x,y,y).
L(x,y \ z,y \ z) = L(x,L(y \ z,y \ z,y),(z \ y) \ 1).
L(x,L(y \ z,y \ z,y),(z \ y) \ 1) = L(x,y \ z,y \ z).
R(x,y,L(L(z,z,u),z,z) * w) = R(x,y,w * L(z,z,u)).
L(x,x,y) * L(z,x,x) = (1 / L(x,x,y)) \ z.
R(x,x,y) * L(z,x,x) = R(1 / x,x,y) \ z.
L(x,y,y) = L(x,L(y,y,z),(z \ (y \ z)) \ 1).
L(x,L(y,y,z),(z \ (y \ z)) \ 1) = L(x,y,y).
a(x,y,y) \ ((1 / y) \ z) = (1 / L(y,y,x)) \ z.
R(1 / x,x,y) \ z = a(x,x,y) * ((1 / x) \ z).
a(x,x,y) * ((1 / x) \ z) = R(1 / x,x,y) \ z.
L(x,L(y \ a(y,z,y),y \ a(y,z,y),u),(u \ ((L(y,z,y) \ 1) \ u)) \ 1) = L(x,y \ a(y,z,y),y \ a(y,z,y)).
a(L(x,x,y),L(x,x,y),z) = a(x,x,z).
L(x,y,a(z,z,u \ 1)) = L(x,y,a(u,L(z,z,w),L(z,z,w))).
L(x,y,a(z,L(u,u,w),L(u,u,w))) = L(x,y,a(u,u,z \ 1)).
R(x,x,y) * a(x,x,z) = R(R(x,x,y),L(x,x,y),z).
R(R(x,x,y),L(x,x,y),z) = R(x,x,y) * a(x,x,z).
L(x,L(y,y,z),(y \ 1) * a(z,y,y)) = (1 / x) \ a(y,y,x).
a(x,x,y) \ (a(x,x,z) \ u) = x * (R(R(x,x,y),R(x,x,y),z) \ u).
x * (R(R(x,x,y),R(x,x,y),z) \ u) = a(x,x,y) \ (a(x,x,z) \ u).
(1 / L(x,x,y \ 1)) \ z = a(y,x,x) * ((1 / x) \ z).
a(x,x,y) \ (R(1 / x,x,y) \ z) = (1 / x) \ z.
a(x,x,y) \ z = (1 / x) \ (R(1 / x,x,y) * z).
(1 / x) \ (R(1 / x,x,y) * z) = a(x,x,y) \ z.
(1 / x) * (a(x,x,y) \ z) = R(1 / x,x,y) * z.
(1 / x) \ ((y / (x * y)) * z) = a(x,x,y) \ z.
a(x,x,y) \ z = (z / (x \ 1)) * R(x \ 1,x,y).
(x / (y \ 1)) * R(y \ 1,y,z) = a(y,y,z) \ x.
(1 / x) * y != R(1 / x,x,z) * u | y = (z / (x * z)) * ((1 / x) \ u).
a(x,x,y) \ z = (y / (x * y)) * ((1 / x) \ z).
(x / (y * x)) * ((1 / y) \ z) = a(y,y,x) \ z.
a(x,x,y) \ (z * (1 / x)) = z * R(1 / x,x,y).
a(x,x,y) \ (z * (x \ 1)) = z * R(x \ 1,x,y).
(x \ 1) * (a(x,x,y) \ z) = R(x \ 1,x,y) * z.
x * R(1 / y,y,z) = (a(y,y,z) \ x) * (1 / y).
(a(x,x,y) \ z) * (1 / x) = z * R(1 / x,x,y).
(x * R(y \ 1,y,z)) * R(y,y,z) = (x * (y \ 1)) * y.
(x \ 1) * (x * y) = R(x \ 1,x,z) * (R(x,x,z) * y).
R(x \ 1,x,y) * (R(x,x,y) * z) = (x \ 1) * (x * z).
(a(x,x,y) \ z) * (1 / x) = z * (1 / R(x,x,y)).
R(x,y,y \ 1) / R(y,y,z) = x * (1 / R(y,y,z)).
a(x,x,y) * R(x,x,z) = R(R(x,x,y),L(x,x,y),z).
R(R(x,x,y),L(x,x,y),z) = a(x,x,y) * R(x,x,z).
R(x,y,y \ 1) = R(x,R(y,y,z),R(y,y,z) \ 1).
R(x,R(y,y,z),R(y,y,z) \ 1) = R(x,y,y \ 1).
R(x,R(y,y,z),R(y \ 1,y,z)) = R(x,y,y \ 1).
R(x,R(y,y,z),L(y \ 1,y,z)) = R(x,y,y \ 1).
R(x,L(y,y,z),L(y \ 1,y,z)) = R(x,y,y \ 1).
R(x,y,y \ 1) = R(x,z \ (y \ z),L(y,y,z)).
R(x,y \ (z \ y),L(z,z,y)) = R(x,z,z \ 1).
(x * (y / (z * y))) * R(z,z,y) = R(x,z,z \ 1).
R(x,y,y \ 1) = R(x,z \ (y \ z),y).
R(x,y \ (z \ y),z) = R(x,z,z \ 1).
R(x,L(y,y,z),L(y \ 1,y,z)) = R(x,u \ (y \ u),y).
a(x,x,y) * R(x,x,z) = R(R(x,x,z),x,y).
R(a(x,x,y) \ z,a(x,x,y),R(x,x,u)) = (z * R(x,x,u)) / R(R(x,x,u),x,y).
L(x,L(x,y,z),u) \ R(L(x,L(x,y,z),u),L(x,L(x,y,z),u),w) = a(L(x,x,L(u,y,z)),L(x,L(x,y,z),u),w).
a(L(x,x,L(y,z,u)),w,v5) * a(w * v5,L(x,L(x,z,u),y),a(L(x,L(x,z,u),y),w,v5)) = L(x,L(x,z,u),y) \ R(L(x,L(x,z,u),y),w,v5).
(1 / L(x,x,y \ 1)) \ z = ((1 / x) \ z) * a(y,x,x).
((x * (y \ 1)) * y) \ x = R(y,y,z) * (x \ (a(y,y,z) \ (x / y))).
R(x,x,y) * (z \ (a(x,x,y) \ (z / x))) = ((z * (x \ 1)) * x) \ z.
R(x,x,y) \ (1 / (z / (R(x,x,y) * z))) = z \ ((x \ 1) * (x * z)).
x * (a(x,x,y) * ((z * R(x,x,y)) \ z)) = R(z,u \ (x \ u),x) \ z.
R(x,y \ (z \ y),z) \ x = z * (a(z,z,u) * ((x * R(z,z,u)) \ x)).
R(x,y,L(z,z,z * u) * w) = R(x,y,w * L(z,z,u)).
R(x,y,L((z \ 1) \ u,z * z,z \ 1)) = R(x,y,u * L(z,z,u)).
a(L(x,y,z),L(x,y,z),u) = a(x,x,L(L(u,y,z),y,z)).
a(x,x,L(L(y,z,u),z,u)) \ y = L(y,L(x,z,u),L(x,z,u)).
L(x,y,a(z,L(u,u,w),L(u,u,w))) = L(x,y,a(z,u,u)).
L(x,y \ (z \ y),a(u,z,z)) = x.
(x \ (x / y)) \ 1 = (x \ (R(x,y,y) / y)) \ a(x,y,y).
(x \ (R(x,y,y) / y)) \ a(x,y,y) = (x \ (x / y)) \ 1.
((x \ (x / y)) \ 1) \ a(x,y,y) = (x * y) \ R(x,y,y).
L(x,L(y,y,z),(y \ 1) * a(z,y,y)) = L(x,y,y \ 1).
L(x,L(y,y,z),L(y,y,z) \ 1) = L(x,y,y \ 1).
L(x,y \ z,y \ z) = L(x,(z \ y) \ 1,(z \ y) \ 1).
L(x,(y \ z) \ 1,(y \ z) \ 1) = L(x,z \ y,z \ y).
L(x,y \ z,y \ z) = ((z \ y) \ 1) \ ((z \ y) \ x).
((x \ y) \ 1) \ ((x \ y) \ z) = L(z,y \ x,y \ x).
((L(L(x,y,y),y,y) \ x) \ 1) \ ((L(L(x,y,y),y,y) \ x) \ z) = L(z,R(y * y,y,x) \ (y * y),x \ L(L(x,y,y),y,y)).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = ((L(L(z,y,y),y,y) \ z) \ 1) \ ((L(L(z,y,y),y,y) \ z) \ x).
a(x,y,y) \ a(y,y,z) = y \ L(R(y,y,z),y,x).
L(x,y,a(z,z,u) * T(a(z,z,w),v5)) = L(x,y,z \ L(R(z,z,u),z,w)).
R(x,x,y) * (z \ (a(x,x,y) \ (z / x))) = x * (z \ (z / x)).
R(x,x,y) * (z \ (z / R(x,x,y))) = x * (z \ (z / x)).
x * (y \ (y / x)) = R(x * (y \ (y / x)),x,z).
R(x * (y \ (y / x)),x,z) = x * (y \ (y / x)).
(x * (y \ (y / x))) * (x \ 1) = L(1 / x,x,L(y,x,z)).
L(1 / x,x,L(y,x,z)) = (x * (y \ (y / x))) * (x \ 1).
L(1 / x,x,L(y,x,z)) = L(1 / x,x,y).
L(R(1 / x,y,z),x,L(u,x,w)) = R(L(1 / x,x,u),y,z).
L(R(1 / x,y,z),x,L(u,x,w)) \ L(1 / x,x,u) = L(R(1 / x,y,z) \ (1 / x),x,L(u,x,w)).
L(R(1 / x,y,z),x,u) = L(R(1 / x,y,z),x,L(u,x,w)).
L(R(1 / x,y,z),x,L(u,x,w)) = L(R(1 / x,y,z),x,u).
(x \ ((y \ 1) * (y * x))) \ x = R(y,y,z) \ ((R(y,y,z) \ 1) \ x).
R(x,x,y) \ ((R(x,x,y) \ 1) \ z) = (z \ ((x \ 1) * (x * z))) \ z.
R(x,x,y) \ ((R(x,x,y) \ 1) \ z) = x \ ((x \ 1) \ z).
(x \ y) \ (x \ ((x \ 1) \ (x \ y))) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = (x \ z) \ (x \ ((x \ 1) \ (x \ z))).
x * y != a(x,x,z) \ u | y = R(x,x,z) \ u.
R(R(x,x,y),R(x,x,y),z) \ u = R(x,x,y) \ (a(x,x,z) \ u).
R(R(x,x,y),L(x,x,y),z) \ u = R(x,x,y) \ (a(x,x,z) \ u).
R(R(x,x,y),x,z) \ u = R(x,x,z) \ (a(x,x,y) \ u).
R(x,x,y) \ (a(x,x,z) \ u) = R(R(x,x,z),x,y) \ u.
x * (R(R(x,x,y),x,z) \ u) = a(x,x,z) \ (a(x,x,y) \ u).
a(x,x,y) \ (a(x,x,z) \ u) = x * (R(R(x,x,z),x,y) \ u).
a(x,x,y) \ L(z,x,x) = x * (R(R(x,x,z),x,y) \ z).
x * (R(R(x,x,y),x,z) \ y) = a(x,x,z) \ L(y,x,x).
L(a(x,x,y) \ z,x,x) = x * (R(R(x,x,z),x,y) \ z).
x * (R(R(x,x,y),x,z) \ y) = L(a(x,x,z) \ y,x,x).
R(x,y \ (z \ y),z) \ x = R(z,z,u) * ((x * R(z,z,u)) \ x).
R(x,y \ (z \ y),z) \ x = R(z,z,u) * R((x * z) \ x,z,u).
R(x,y \ (z \ y),z) \ x = R(z * ((x * z) \ x),z,u).
R(x * ((y * x) \ y),x,z) = R(y,u \ (x \ u),x) \ y.
a(x,x,y) * a(R(x,x,y),R(x,x,y),z) = x \ R(R(x,x,z),x,y).
a(x,x,y) * a(R(x,x,y),L(x,x,y),z) = x \ R(R(x,x,z),x,y).
a(x,x,y) * a(L(x,x,y),L(x,x,y),z) = x \ R(R(x,x,z),x,y).
a(x,x,y) * a(x,x,z) = x \ R(R(x,x,z),x,y).
x \ R(R(x,x,y),x,z) = a(x,x,z) * a(x,x,y).
R(a(x,x,y) \ (z / a(x,x,u)),a(x,x,y),a(x,x,u)) = T(z / (x \ R(R(x,x,u),x,y)),a(x,x,y)).
L(x,y,z \ L(L(z,z,u),z,w)) = L(x,y,a(z,z,u) * T(a(z,z,w),v5)).
L(x,y,a(z,z,u) * T(a(z,z,w),v5)) = L(x,y,z \ L(L(z,z,u),z,w)).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = x * ((x \ z) / (x * (x \ z))).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = x * ((x \ z) / z).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = a(x,x \ 1,z).
R(a(x,x,y) \ z,a(x,x,y),L(x,x,u)) = (z * R(x,x,u)) / R(R(x,x,u),x,y).
L(a(x,x,y) \ z,a(x,x,y),L(x,x,u)) = (z * R(x,x,u)) / R(R(x,x,u),x,y).
(x * R(y,y,z)) / R(R(y,y,z),y,u) = a(y,y,u) \ x.
a(x,x,y) \ z = R(x,x,u) * (R(R(x,x,u),x,y) \ z).
R(x,x,y) * (R(R(x,x,y),x,z) \ u) = a(x,x,z) \ u.
(L(x,y,z) * a(x,x,L(u,y,z))) \ (L(x,y,z) * u) = L(u,x,L(x,y,z)).
L(x,y,L(y,z,u)) = a(y,y,L(x,z,u)) \ (L(y,z,u) \ (L(y,z,u) * x)).
a(x,x,L(y,z,u)) \ (L(x,z,u) \ (L(x,z,u) * y)) = L(y,x,L(x,z,u)).
a(x,x,L(y,z,u)) \ y = L(y,x,L(x,z,u)).
L((1 / x) * y,x,L(x,z,u)) = (1 / x) * (a(x,x,L((1 / x) * y,z,u)) \ y).
(1 / x) * (a(x,x,L((1 / x) * y,z,u)) \ y) = L((1 / x) * y,x,L(x,z,u)).
a(x,x,L(y,x,z)) \ y = L(y,x,(z \ (x \ z)) \ 1).
L(x,y,(z \ (y \ z)) \ 1) = a(y,y,L(x,y,z)) \ x.
a(x,x,L(y,z,u)) \ (y * a(x,w,v5)) = L(y * a(x,w,v5),x,L(x,z,u)).
R(x \ L(x,y,y),z,u) = x \ L(x,y,L(y,z,u)).
L(x,y,(z \ (y \ z)) \ 1) = a(y,y,x) \ x.
L(x,y,(z \ (y \ z)) \ 1) = L(x,y,y).
L(x,(y \ (z \ y)) \ 1,z) = L(x,z,z).
L(x * a(y,z,u),y,L(y,w,v5)) = a(y,z,u) * (a(y,y,L(x,w,v5)) \ x).
a(x,y,z) * (a(x,x,L(u,w,v5)) \ u) = L(u * a(x,y,z),x,L(x,w,v5)).
(1 / x) * (a(x,x,L((x \ 1) * y,z,u)) \ y) = L((1 / x) * y,x,L(x,z,u)).
(1 / x) * (a(x,x,L(1 * (x \ y),z,u)) \ y) = L((1 / x) * y,x,L(x,z,u)).
(1 / x) * (a(x,x,L(x \ y,z,u)) \ y) = L((1 / x) * y,x,L(x,z,u)).
L((1 / x) * y,x,L(x,z,u)) = R(1 / x,x,L(x \ y,z,u)) * y.
R(1 / x,x,L(x \ y,z,u)) * y = L((1 / x) * y,x,L(x,z,u)).
a(x,x,y) * (((y / (x * y)) * R(x,x,z)) * u) = a(x,x,z) * u.
a(x,x,y) * z != a(x,x,u) * (((u / (x * u)) * R(x,x,y)) * w) | z = L(w,a(x,x,u) \ a(x,x,y),a(x,x,u)).
x = L(x,a(y,y,z) \ a(y,y,u),a(y,y,z)).
L(x,a(y,y,z) \ a(y,y,u),a(y,y,z)) = x.
(a(x,x,y) \ a(x,x,z)) \ u = a(x,x,z) \ (a(x,x,y) * u).
R(1 / L(x,y,z),x,L(u,w,v5)) = R(a(L(v6,v7,v8),v9,a(v10,v11,v6)) / L(x,y,z),L(x,w,v5),u).
R(a(L(x,y,z),u,a(w,v5,x)) / L(v6,v7,v8),L(v6,v9,v10),v11) = R(1 / L(v6,v7,v8),v6,L(v11,v9,v10)).
L(R(x \ R(x,x,y),z,u),R(x,z,u),L(x,x,w) * y) = a(R(x,z,u),L(x,x,w),y).
L(a(x,x,L(y,z,u)),R(x,z,u),L(x,x,w) * y) = a(R(x,z,u),L(x,x,w),y).
L(a(x,x,L(y,z,u)),L(x,z,u),L(x,x,w) * y) = a(R(x,z,u),L(x,x,w),y).
a(x,x,L(L(y,z,u),L(x,z,u),L(x,x,w) * y)) = a(R(x,z,u),L(x,x,w),y).
R(1 / L(x,y,z),L(x,u,w),v5) = R(1 / L(x,y,z),x,L(v5,u,w)).
R(1 / L(x,y,z),x,L(u,y,z)) = u / (L(x,y,z) * u).
L(R(1 / x,y,z),x,u) \ L(1 / x,x,u) = L(R(1 / x,y,z) \ (1 / x),x,L(u,x,w)).
L(R(1 / x,y,z) \ (1 / x),x,L(u,x,w)) = L(R(1 / x,y,z),x,u) \ L(1 / x,x,u).
L(R(1 / x,y,z) \ (1 / x),x,L(u,x,w)) = L(R(1 / x,y,z) \ (1 / x),x,u).
L(R(1 / x,y,z) \ (1 / x),x,L(u,x,w)) = L(x \ R(x,y,z),x,u).
L(x \ R(x,y,z),x,L(u,x,w)) = L(x \ R(x,y,z),x,u).
L(L(x \ R(x,y,z),x,u),x,y * z) = L(a(x,y,z),x,L(u,x,w)).
L(a(x,y,z),x,L(u,x,w)) = L(a(x,y,z),x,u).
((x * L(x,y,z)) * u) / (x * u) = a(L(x,y,z),x,u) * L(x,y,z).
a(L(x,y,z),x,u) * L(x,y,z) = L(R(x,x,u),y,z).
a(x,x,L(y,z,u)) * L(x,z,u) = L(R(x,x,y),z,u).
L(R(x,x,y),z,u) = L(x,z,u) * a(x,x,L(y,z,u)).
L(x,y,z) * a(x,x,L(u,y,z)) = L(R(x,x,u),y,z).
a(x,x,y) * L(x,x,z) = L(R(x,x,y),x,z).
L(R(x,x,y),x,z) \ u = L(x,x,z) \ (a(x,x,y) \ u).
L(x,x,y) \ (a(x,x,z) \ u) = L(R(x,x,z),x,y) \ u.
L(x,y,z) * a(x,x,a(u,y,y)) = L(R(x,x,a(u,y,y)),y,z).
x * (L(R(x,x,y),x,z) \ u) = a(z,x,x) * (a(x,x,y) \ u).
a(x,y,y) * (a(y,y,z) \ u) = y * (L(R(y,y,z),y,x) \ u).
x * (L(R(x,x,y),x,z) \ u) = (a(x,x,y) \ u) * a(z,x,x).
(a(x,x,y) \ z) * a(u,x,x) = x * (L(R(x,x,y),x,u) \ z).
L(x,y,z) * a(x,x,a(u,y,y)) = L(L(x,x,a(u,y,y)),y,z).
a(x * (L(R(x,x,y),x,y) \ K(z,u)),w,v5) = a(a(y * y,x,x),w,v5).
a(x,x,a(y,z,z)) * L(x,z,u) = L(L(x,x,a(y,z,z)),z,u).
a(x * R(L(x,x,y) \ K(z,u),x,y),w,v5) = a(a(y * y,x,x),w,v5).
a(x * L(L(x,x,y) \ K(z,u),x,y),w,v5) = a(a(y * y,x,x),w,v5).
a(x * L(L(x,x,y) \ 1,x,y),z,u) = a(a(y * y,x,x),z,u).
a(x * ((y * x) \ R(y,x,x)),z,u) = a(a(y * y,x,x),z,u).
R(a(x,x,y) \ (a(x,x,z) \ u),a(x,x,y),a(x,x,z)) = T(u / (x \ R(R(x,x,z),x,y)),a(x,x,y)).
R(x * (R(R(x,x,y),x,z) \ u),a(x,x,z),a(x,x,y)) = T(u / (x \ R(R(x,x,y),x,z)),a(x,x,z)).
L(x * (R(R(x,x,y),x,z) \ u),a(x,x,z),a(x,x,y)) = T(u / (x \ R(R(x,x,y),x,z)),a(x,x,z)).
x * (a(x,y,x) * L(R(x * x,y,x) \ R(x,y,x),z,u)) = L(R(x,y,x) \ 1,z,u) * R(x,y,x).
x * (a(x,y,x) * L(R((x * x) \ x,y,x),z,u)) = L(R(x,y,x) \ 1,z,u) * R(x,y,x).
x * L(a(x,y,x) * R((x * x) \ x,y,x),z,u) = L(R(x,y,x) \ 1,z,u) * R(x,y,x).
x * L(R(a(x,y,x) * ((x * x) \ x),y,x),z,u) = L(R(x,y,x) \ 1,z,u) * R(x,y,x).
x * L(R((x * x) \ R(x,y,x),y,x),z,u) = L(R(x,y,x) \ 1,z,u) * R(x,y,x).
x * L(R(T(x \ a(x,y,x),x),y,x),z,u) = L(R(x,y,x) \ 1,z,u) * R(x,y,x).
x * L(T(x \ 1,x),y,z) = L(R(x,u,x) \ 1,y,z) * R(x,u,x).
L(R(x,y,x) \ 1,z,u) * R(x,y,x) = x * L(T(x \ 1,x),z,u).
L(R(x,y,x) \ 1,z,u) * R(x,y,x) = L(x \ 1,z,u) * x.
T(T(K(x,y) * K(z,u),w * z),T(K(x,T(y,z)),K(z,u))) = T(T(K(x,T(y,z)) * K(z,u),K(x,T(y,z))),w).
K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)) = ((x * ((y * x) \ y)) \ 1) * K(1 / ((y * x) \ y),z).
T(T(x,y) * (L(z,u,w) \ z),T(T(x,L(z,u,w) \ z),y)) = T(x,y) * (L(z,u,w) \ z).
R(x,((y / (z * y)) \ 1) \ 1,L(u,(y / (z * y)) \ 1,L(z \ 1,z,y))) = R(x,((y / (z * y)) \ 1) \ 1,u).
R(L(x,y,z),(u \ w) \ w,u \ L(L(x,u \ 1,u),y,z)) = L(L(R(x,u,u \ 1),y,z),u \ 1,L(x,y,z)).
L(((L(x \ y,z,u) \ (x \ y)) \ 1) \ x,(L(y / x,z,u) \ (y / x)) \ 1,x \ y) = L(y / x,z,u) \ y.
L(x,y \ L(y,z,z),R(z,z,y) \ z) * (y \ L(y,z,z)) = ((y \ L(y,z,z)) \ 1) \ T(x,y \ L(y,z,z)).
a(x,(a(y,y,z) \ K((z \ u) \ u,w)) * v5,v6) = a(x,v5 * (z \ L(T((z \ u) \ u,w),y,y)),v6).
a(x,(a(y,y,z) \ K(z,T(u,w))) * v5,v6) = a(x,v5 * (z \ L(T((z \ w) \ w,u),y,y)),v6).
a(x,y * (z \ L(T((z \ u) \ u,w),v5,v5)),v6) = a(x,(a(v5,v5,z) \ K(z,T(w,u))) * y,v6).
a(x,y * (z \ L(T((z \ u) \ u,w),v5,v5)),v6) = a(x,(z \ L(T(z,T(w,u)),v5,v5)) * y,v6).
a(x,y * (z \ L(T((z \ u) \ u,w),v5,v5)),v6) = a(x,K(z,T(w,u)) * (a(v5,v5,z) \ y),v6).
a(x,y * (z \ L(T((z \ u) \ u,w),v5,v5)),v6) = a(x,a(v5,v5,z) \ y,v6).
a(x,a(y,y,z) \ u,w) = a(x,(z \ L((z \ v5) \ v5,y,y)) * u,w).
a(x,(y \ L((y \ z) \ z,u,u)) * w,v5) = a(x,a(u,u,y) \ w,v5).
a(x,y,(a(z,z,u) \ K((u \ w) \ w,v5)) * v6) = a(x,y,v6 * (u \ L(T((u \ w) \ w,v5),z,z))).
a(x,y,(a(z,z,u) \ K(u,T(w,v5))) * v6) = a(x,y,v6 * (u \ L(T((u \ v5) \ v5,w),z,z))).
a(x,y,z * (u \ L(T((u \ w) \ w,v5),v6,v6))) = a(x,y,(a(v6,v6,u) \ K(u,T(v5,w))) * z).
a(x,y,z * (u \ L(T((u \ w) \ w,v5),v6,v6))) = a(x,y,(u \ L(T(u,T(v5,w)),v6,v6)) * z).
a(x,y,z * (u \ L(T((u \ w) \ w,v5),v6,v6))) = a(x,y,K(u,T(v5,w)) * (a(v6,v6,u) \ z)).
a(x,y,z * (u \ L(T((u \ w) \ w,v5),v6,v6))) = a(x,y,a(v6,v6,u) \ z).
a(x,y,a(z,z,u) \ w) = a(x,y,(u \ L((u \ v5) \ v5,z,z)) * w).
a(x,y,(z \ L((z \ u) \ u,w,w)) * v5) = a(x,y,a(w,w,z) \ v5).
(x * ((y * x) \ y)) \ K((x * ((y * x) \ y)) * ((y \ (y / x)) \ 1),z) = K(x,z) * (x \ ((y \ (y / x)) \ 1)).
T(((x \ L(x,y,z)) * ((x \ u) * x)) \ ((x \ L(x,y,z)) * (x \ u)),x) = L(x \ 1,x,(x \ L(x,y,z)) * u).
(1 / (((1 / x) * y) * x)) * ((x \ 1) * y) = L(L(x \ 1,x,y),((1 / x) * y) * x,L(y,x,x \ 1) \ 1).
L(L(x \ 1,x,y),((1 / x) * y) * x,L(y,x,x \ 1) \ 1) = (1 / (((1 / x) * y) * x)) * ((x \ 1) * y).
L(L(x \ 1,x,y),((1 / x) * y) * x,L(y \ 1,x,x \ 1)) = (1 / (((1 / x) * y) * x)) * ((x \ 1) * y).
(1 / (((1 / x) * y) * x)) * ((x \ 1) * y) = L(L(x \ 1,x,y),((x \ 1) * y) * x,L(y \ 1,x,x \ 1)).
L(L(x \ 1,x,y),((x \ 1) * y) * x,L(y \ 1,x,x \ 1)) = (1 / (((1 / x) * y) * x)) * ((x \ 1) * y).
(1 / (((1 / x) * y) * x)) * ((x \ 1) * y) = L(L(x \ 1,x,y),L(y,x,x \ 1),L(y \ 1,x,x \ 1)).
L(L(x \ 1,x,y),L(y,x,x \ 1),L(y \ 1,x,x \ 1)) = (1 / (((1 / x) * y) * x)) * ((x \ 1) * y).
(1 / (((1 / x) * y) * x)) * ((x \ 1) * y) = L(L(x \ 1,y,y \ 1),x,y).
L(L(x \ 1,y,y \ 1),x,y) = (1 / (((1 / x) * y) * x)) * ((x \ 1) * y).
(1 / (((1 / x) * y) * x)) * ((x \ 1) * y) = T((1 / y) * (y / x),x).
(x * K(y \ 1,x)) * (y * (((x \ (y \ x)) * x) / (x * K(y \ 1,x)))) = (y \ 1) \ ((x \ (y \ x)) * x).
(x * K(y \ 1,x)) * (y * ((((x \ (y \ x)) * x) / x) * K(x,y \ 1))) = (y \ 1) \ ((x \ (y \ x)) * x).
(x * K(y \ 1,x)) * (y * ((x \ (y \ x)) * K(x,y \ 1))) = (y \ 1) \ ((x \ (y \ x)) * x).
(x * K(y \ 1,x)) * (y * ((y \ x) / x)) = (y \ 1) \ ((x \ (y \ x)) * x).
(x * K(y \ 1,x)) * a(y,y \ 1,x) = (y \ 1) \ ((x \ (y \ x)) * x).
(x \ 1) \ ((y \ (x \ y)) * y) = y * (K(x \ 1,y) * a(x,x \ 1,y)).
x * (K(y \ 1,x) * a(y,y \ 1,x)) = (y \ 1) \ ((x \ (y \ x)) * x).
x * (y * (x \ (y \ x))) = (y \ 1) \ ((x \ (y \ x)) * x).
(x \ 1) \ ((y \ (x \ y)) * y) = y * (x * (y \ (x \ y))).
x * (y * (x \ (y \ x))) = (y \ x) / (y \ 1).
((x \ y) / (x \ 1)) / (x \ y) = x * (x * (y \ (x \ y))).
x * (x * (y \ (x \ y))) = y / (y * (x \ 1)).
x \ (y / (y * (x \ 1))) = x * (y \ (x \ y)).
(x * (y \ (x \ y))) * K(z,y * (x \ 1)) = x \ (y / T(y * (x \ 1),z)).
K(x \ 1,y) * a(x,x \ 1,y) = x \ (y / (y * (x \ 1))).
x * (y \ ((x * y) / ((x * y) * (y \ 1)))) = y \ (x / (y \ 1)).
x * (y \ ((x * y) / R(x,y,y \ 1))) = y \ (x / (y \ 1)).
x * (y \ ((x / (y \ 1)) / x)) = y \ (x / (y \ 1)).
x * (y * ((y * x) \ x)) = y \ (x / (y \ 1)).
(x \ (y / (x \ 1))) \ R(y,x * ((x * y) \ y),(x * ((x * y) \ y)) \ 1) = (x * ((x * y) \ y)) \ 1.
(x \ (y / (x \ 1))) \ T(y,(x * ((x * y) \ y)) \ 1) = T((y / (x * ((x * y) \ y))) / y,x * ((x * y) \ y)).
T((x / (y * ((y * x) \ x))) / x,y * ((y * x) \ x)) = (y \ (x / (y \ 1))) \ T(x,(y * ((y * x) \ x)) \ 1).
x \ (y / T(y * (x \ 1),z)) = (x \ y) / T(y * (x \ 1),z).
(x \ y) / T(y * (x \ 1),z) = x \ (y / T(y * (x \ 1),z)).
x \ (y / T(y * (x \ 1),z)) = T(y * (x \ 1),z) \ (x \ y).
T(x * (y \ 1),z) \ (y \ x) = y \ (x / T(x * (y \ 1),z)).
a((x \ y) \ 1,y \ (x \ y),y) = x \ (y / T(y * (x \ 1),y)).
R((x / y) \ z,z \ ((x / y) \ z),z) \ ((x / y) \ z) = (y \ x) \ (z / T(z * ((y \ x) \ 1),z)).
R((x / y) \ T(z,u),z \ ((x / y) \ z),z) \ ((x / y) \ T(z,u)) = (y \ x) \ (z / T(z * ((y \ x) \ 1),z)).
a(x \ T(L(y,y * x,y * x) * x,z),u,w) = a(L(x \ T(y * x,z),T(y * x,z),x),u,w).
a(L(x \ T(y * x,z),T(y * x,z),x),u,w) = a(x \ T(L(y,y * x,y * x) * x,z),u,w).
a(L(x \ T(y * x,z),T(y * x,z),x),u,w) = a(x \ T(((1 / (y * x)) \ y) / y,z),u,w).
a(L(x \ T(y * x,z),T(y * x,z),x),u,w) = a(x \ (((1 / (y * x)) \ y) / y),u,w).
a(L(x \ T(y * x,z),T(y * x,z),x),u,w) = a(x \ (y \ ((1 / (y * x)) \ y)),u,w).
a(L(x \ T(y * x,z),T(y * x,z),x),u,w) = a(x \ (y \ (((y * x) \ 1) \ y)),u,w).
a(L(x \ T(y * x,z),y * x,x),u,w) = a(x \ (y \ (((y * x) \ 1) \ y)),u,w).
a(L(x \ (y * x),y * x,x),z,u) = a(x \ (y \ (((y * x) \ 1) \ y)),z,u).
a(L(T(x,y),x * y,y),z,u) = a(y \ (x \ (((x * y) \ 1) \ x)),z,u).
a(x \ (y \ (((y * x) \ 1) \ y)),z,u) = a(L(y,y * x,x),z,u).
a(L(L(x,x,y),y,y),z,u) = a(L(x,x * y,y),z,u).
a(x,(K(y,T(z,u)) * a((y \ u) \ u,w,w)) * v5,v6) = a(x,v5 * (y \ R(T((y \ u) \ u,z),w,w)),v6).
a(x,(K(y,T(z,u)) * a(y,w,w)) * v5,v6) = a(x,v5 * (y \ R(T((y \ u) \ u,z),w,w)),v6).
a(x,y * (z \ R(T((z \ u) \ u,w),v5,v5)),v6) = a(x,(K(z,T(w,u)) * a(z,v5,v5)) * y,v6).
a(x,y * (z \ R(T((z \ u) \ u,w),v5,v5)),v6) = a(x,K(z,T(w,u)) * (a(z,v5,v5) * y),v6).
a(x,y * (z \ R(T((z \ u) \ u,w),v5,v5)),v6) = a(x,a(z,v5,v5) * y,v6).
a(x,a(y,z,z) * u,w) = a(x,(y \ R((y \ v5) \ v5,z,z)) * u,w).
a(x,(y \ R((y \ z) \ z,u,u)) * w,v5) = a(x,a(y,u,u) * w,v5).
a(x,y,(K(z,T(u,w)) * a((z \ w) \ w,v5,v5)) * v6) = a(x,y,v6 * (z \ R(T((z \ w) \ w,u),v5,v5))).
a(x,y,(K(z,T(u,w)) * a(z,v5,v5)) * v6) = a(x,y,v6 * (z \ R(T((z \ w) \ w,u),v5,v5))).
a(x,y,z * (u \ R(T((u \ w) \ w,v5),v6,v6))) = a(x,y,(K(u,T(v5,w)) * a(u,v6,v6)) * z).
a(x,y,z * (u \ R(T((u \ w) \ w,v5),v6,v6))) = a(x,y,K(u,T(v5,w)) * (a(u,v6,v6) * z)).
a(x,y,z * (u \ R(T((u \ w) \ w,v5),v6,v6))) = a(x,y,a(u,v6,v6) * z).
a(x,y,a(z,u,u) * w) = a(x,y,(z \ R((z \ v5) \ v5,u,u)) * w).
a(x,y,(z \ R((z \ u) \ u,w,w)) * v5) = a(x,y,a(z,w,w) * v5).
a(L(x,1 / y,y \ 1),z,z) / L(y,y \ 1,a(L(x,1 / y,1 / y),z,z)) = a(x,z,z) / ((1 / y) \ 1).
L(a(x,y,y) * ((a(x,y,y) / (z * z)) \ 1),((u * z) / u) * T(z,u),a(y,y,x)) = z * z.
L(L(x,y,y) * (a(a(y \ 1,y,x),z,u) \ a(y,y,x)),x,a(x,y,y)) = x * (a(a(y,y,x) \ 1,z,u) \ 1).
T(T(K(x,T(y,z)) * K(z,u),K(x,T(y,z))),w) = T(T(K(x,y) * K(z,u),w * z),K(x,T(y,z))).
T(T(K(x,T(y,z)) * K(z,u),K(x,T(y,z))),w) = T(T(K(x,y) * K(z,u),w * z),K(y,x)).
T(T(K(x,T(y,z)) * K(z,u),K(x,T(y,z))),w) = T(K(z,u) * K(x,y),w * z).
T(T(T(K(x,y) * K(z,u),z),K(x,T(y,z))),w) = T(K(z,u) * K(x,y),w * z).
T(T(T(K(x,y) * K(z,u),z),K(y,x)),w) = T(K(z,u) * K(x,y),w * z).
T(T(K(x,y) * K(z,u),x),w) = T(K(x,y) * K(z,u),w * x).
(K(x,T(y,z)) \ T(u,z)) \ u = T(K(z,u) * K(x,y),u * z).
(K(T(x,y),z) * T(u,y)) \ u = T(K(y,u) * K(z,x),u * y).
(K(x,T(y,z)) * T(u,z)) \ u = T(K(z,u) * K(y,x),u * z).
T(K(x,y) * z,u) \ z = T(K(u,z) * K(y,x),z * u).
T(K(x,y) * K(z,u),y * x) = T(K(u,z) * y,x) \ y.
(T(K(x,y * z) * y,z) \ y) \ u = K(x,y * z) * (T(K(z,y),y * z) \ u).
K(x,y * z) * (T(K(z,y),y * z) \ u) = (T(K(x,y * z) * y,z) \ y) \ u.
K(x,y * z) * (T(K(z,y),y * z) \ u) = (T(y * K(x,z * y),z) \ y) \ u.
K(x,y * z) * (T(K(z,y),y * z) \ u) = (K(y * z,x) * (T(y,z) \ y)) \ u.
K(x,y * z) * (T(K(z,y),y * z) \ u) = (K(y * z,x) * K(z,y)) \ u.
K(x,y * z) * (T(K(z,y),y * z) \ u) = z * ((y \ T(z * y,x)) \ u).
K(x,y * z) * (K(z,T(y,z)) \ u) = z * ((y \ T(z * y,x)) \ u).
K(x,y * z) * (K(z,y) \ u) = z * ((y \ T(z * y,x)) \ u).
K(x,y * z) * (K(y,z) * u) = z * ((y \ T(z * y,x)) \ u).
((x * (y * z)) / x) * ((z * y) \ u) = z * ((y \ T(z * y,x)) \ u).
x * ((y \ T(x * y,x)) \ L(x,y,y)) = L(x,y,x) * (y * R(y \ 1,y,x)).
x * (R(x,y,x) \ L(x,y,y)) = L(x,y,x) * (y * R(y \ 1,y,x)).
L(x,y,x) * (y * R(y \ 1,y,x)) = x * (R(x,y,x) \ L(x,y,y)).
L(x,y,x) * (y * R(y \ 1,y,x)) = x * (x \ L(L(x,y,x),y,y)).
K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)) = (((y * x) \ y) \ (x \ 1)) * K(1 / ((y * x) \ y),z).
R(x,((y / (z * y)) \ 1) \ 1,L(u,((z * y) \ y) \ 1,L(z \ 1,z,y))) = R(x,((y / (z * y)) \ 1) \ 1,u).
R(L(x,y,z),(u \ w) \ w,u \ L(L(x,u \ 1,u),y,z)) = L(L(R(x,u,u \ 1),u \ 1,x),y,z).
R(L(x,y,z),(u \ w) \ w,u \ L(L(x,u \ 1,u),y,z)) = L(R(x,u,u \ x),y,z).
R(L(x,y,z),(u \ w) \ w,(u \ 1) * L(x,y,z)) = L(R(x,u,u \ x),y,z).
R(L(x,y,z),u,(u \ 1) * L(x,y,z)) = L(R(x,u,u \ x),y,z).
L(R(x,y,y \ x),z,u) = R(L(x,z,u),y,y \ L(x,z,u)).
R(L(x,y,z),u,u \ L(x,y,z)) = L(R(x,u,u \ x),y,z).
L(R(x \ 1,y,y \ (x \ 1)),x,y \ 1) = y * ((y / (T(x,y) \ 1)) \ 1).
L(x * ((y * x) \ 1),y,x \ 1) = x * ((x / (T(y,x) \ 1)) \ 1).
L(((x \ y) \ L(x \ y,z,u)) \ x,(L(y / x,z,u) \ (y / x)) \ 1,x \ y) = L(y / x,z,u) \ y.
L(((x \ y) \ L(x \ y,z,u)) \ x,(L(x \ y,z,u) \ (x \ y)) \ 1,x \ y) = L(y / x,z,u) \ y.
L(((x \ y) \ L(x \ y,z,u)) \ x,(x \ y) \ L(x \ y,z,u),x \ y) = L(y / x,z,u) \ y.
L(x / y,z,u) \ x = L(y \ x,z,u) \ ((y \ x) * y).
L(x \ y,z,u) \ ((x \ y) * x) = L(y / x,z,u) \ y.
L(x / y,z,u) \ x = (y \ x) * (L(y \ x,z,u) \ y).
(x \ y) * (L(x \ y,z,u) \ x) = L(y / x,z,u) \ y.
(((x \ y) * (L(x \ y,z,u) \ x)) \ x) \ x = L(y / x,z,u) \ y.
L(x / y,z,z \ y) \ x = y * a(z \ y,z,y \ x).
a(x,y,L(y \ z,y,x)) = y \ (L(z / y,y,x) \ z).
x \ (L(y / x,z,u) \ y) = (x * L(x \ y,z,u)) \ y.
(x * L(x \ y,z,u)) \ y = x \ (L(y / x,z,u) \ y).
x \ (L(y / x,z,z \ x) \ y) = a(z \ x,z,x \ y).
(((x \ 1) * y) * L(a(x,x \ 1,y),z,u)) \ (x \ y) = ((x \ 1) * y) \ (L((x \ y) / ((x \ 1) * y),z,u) \ (x \ y)).
((x \ 1) * y) \ (L((x \ y) / ((x \ 1) * y),z,u) \ (x \ y)) = (((x \ 1) * y) * L(a(x,x \ 1,y),z,u)) \ (x \ y).
x \ ((1 / (y * (x \ 1))) * y) = a(y \ x,y,x \ 1).
(x \ 1) \ ((1 / (((x \ 1) * (y \ 1)) * ((x \ 1) \ 1))) * ((x \ 1) * (y \ 1))) = a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1).
((L(x / y,z,u) \ x) \ y) \ y = L(x / y,z,u) \ x.
L(x,y \ L(y,z,z),R(z,z,y) \ z) * (y \ L(y,z,z)) = (L(y,z,z) \ y) \ T(x,y \ L(y,z,z)).
L(x,y \ L(y,z,z),R(z,z,y) \ z) * (y \ L(y,z,z)) = a(z,z,y) \ T(x,y \ L(y,z,z)).
L(x,y \ L(y,z,z),R(z,z,y) \ z) * (y \ L(y,z,z)) = a(z,z,y) \ x.
x * (y \ L(y,z,z)) != a(z,z,y) \ u | x = L(u,a(z,z,y),a(z,z,y)).
L(x,y \ L(y,z,z),R(z,z,y) \ z) = L(x,a(z,z,y),a(z,z,y)).
L(x,y \ L(y,z,z),y \ L(y,z,z)) = L(x,a(z,z,y),a(z,z,y)).
(x * ((y * x) \ y)) \ K((x * ((y * x) \ y)) * ((y \ (y / x)) \ 1),z) = x \ (K(x,z) / ((y * x) \ y)).
(x * ((y * x) \ y)) \ K((x * ((y * x) \ y)) * ((y \ (y / x)) \ 1),z) = x \ ((y \ (y / x)) \ K(x,z)).
(x * ((y * x) \ y)) \ K(x,z) = x \ ((y \ (y / x)) \ K(x,z)).
x \ ((y \ (y / x)) \ K(x,y)) = (x * ((x * y) \ y)) \ 1.
x \ (1 / ((x * y) \ y)) = (x * ((x * y) \ y)) \ 1.
(x * ((x * y) \ y)) \ 1 = x \ (1 / ((x * y) \ y)).
(x \ (y / (x \ 1))) \ R(y,x * ((x * y) \ y),x \ (1 / ((x * y) \ y))) = (x * ((x * y) \ y)) \ 1.
(x \ (y / (x \ 1))) \ R(y,x * ((x * y) \ y),x \ ((y \ (y / x)) \ 1)) = (x * ((x * y) \ y)) \ 1.
(x \ (y / (x \ 1))) \ R(y,x * ((x * y) \ y),a(y,x,x \ 1)) = (x * ((x * y) \ y)) \ 1.
(x \ (y / (x \ 1))) \ y = (x * ((x * y) \ y)) \ 1.
(x \ (y / (x \ 1))) \ y = x \ (1 / ((x * y) \ y)).
R(x,y,z \ (((u / (w \ 1)) / w) \ u)) = R(x,y,z \ (w \ (1 / ((w * u) \ u)))).
R(x,y,z \ (((u / w) / (1 / w)) \ u)) = R(x,y,z \ (w \ (1 / ((w * u) \ u)))).
R(x,y,z \ a(u,w,w \ 1)) = R(x,y,z \ (w \ (1 / ((w * u) \ u)))).
R(x,y,z \ (u \ (1 / ((u * w) \ w)))) = R(x,y,z \ a(w,u,u \ 1)).
R(x,y,z \ a(u,w,w \ 1)) = R(x,y,z \ (w \ (((w * u) \ u) \ 1))).
R(x,y,z \ (u \ (((u * w) \ w) \ 1))) = R(x,y,z \ a(w,u,u \ 1)).
T(((x \ L(x,y,z)) * u) \ ((x \ L(x,y,z)) * (u / x)),x) = L(x \ 1,x,(x \ L(x,y,z)) * u).
L(x \ 1,x,(x \ L(x,y,z)) * u) = L(L(x \ 1,x,u),u,x \ L(x,y,z)).
L(L(x \ 1,x,y),y,x \ L(x,z,u)) = L(x \ 1,x,(x \ L(x,z,u)) * y).
L(x \ 1,x,(x \ L(x,y,z)) * u) = L(x \ 1,x,u).
L(x \ 1,x,y) = L(1 / x,x,L(x,z,u) * y).
L(1 / x,x,L(x,y,z) * u) = L(x \ 1,x,u).
L(R(1 / x,y,z),x,L(x,u,w) * v5) = R(L(x \ 1,x,v5),y,z).
L(R(1 / x,y,z),x,L(x,u,w) * v5) \ L(x \ 1,x,v5) = L(R(1 / x,y,z) \ (1 / x),x,L(x,u,w) * v5).
L(R(x \ 1,y,z),x,u) = L(R(1 / x,y,z),x,L(x,w,v5) * u).
L(R(1 / x,y,z),x,L(x,u,w) * v5) = L(R(x \ 1,y,z),x,v5).
T((x / (y * ((y * x) \ x))) / x,y * ((y * x) \ x)) = (y \ (x / (y \ 1))) \ T(x,y \ (1 / ((y * x) \ x))).
a(L(x,y \ 1,y \ 1),z,z) / L(y,y \ 1,a(L(x,1 / y,1 / y),z,z)) = a(x,z,z) / ((1 / y) \ 1).
L(L(x,y,y) * (a(a(x,y,y),z,u) \ a(y,y,x)),x,a(x,y,y)) = x * (a(a(y,y,x) \ 1,z,u) \ 1).
K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)) = (((y * x) \ y) \ (x \ 1)) * K((y / 1) \ (y * x),z).
R(x,((y / (z * y)) \ 1) \ 1,L(u,(y \ (z \ y)) \ 1,L(z \ 1,z,y))) = R(x,((y / (z * y)) \ 1) \ 1,u).
T((x / (y * ((y * x) \ x))) / x,y * ((y * x) \ x)) = (y \ (x / (y \ 1))) \ T(x,y \ (1 / (x \ (y \ x)))).
a((x \ 1) \ (x \ y),z,z) / L(x,x \ 1,a(L(y,1 / x,1 / x),z,z)) = a(y,z,z) / ((1 / x) \ 1).
a(L(x,y,y),z,z) / L(y,y \ 1,a(L(x,1 / y,1 / y),z,z)) = a(x,z,z) / ((1 / y) \ 1).
a(L(x,y,y),z,z) / L(y,y \ 1,a(L(x,1 / y,y \ 1),z,z)) = a(x,z,z) / ((1 / y) \ 1).
a(L(x,y,y),z,z) / L(y,y \ 1,a(L(x,y \ 1,y \ 1),z,z)) = a(x,z,z) / ((1 / y) \ 1).
a(L(x,y,y),z,z) / L(y,y \ 1,a((y \ 1) \ (y \ x),z,z)) = a(x,z,z) / ((1 / y) \ 1).
a(L(x,y,y),z,z) / L(y,y \ 1,a(L(x,y,y),z,z)) = a(x,z,z) / ((1 / y) \ 1).
a(L(x,y,y),z,z) / L(y,y,a(z,z,L(x,y,y))) = a(x,z,z) / ((1 / y) \ 1).
a(L(x,y,y),z,z) / L(y,y,a(z,z,x)) = a(x,z,z) / ((1 / y) \ 1).
a(L(x,y,y),z,z) / L(y,y,a(z,z,x)) = a(x,z,z) / y.
K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)) = (((y * x) \ y) \ (x \ 1)) * K(y \ (y * x),z).
K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)) = (((y * x) \ y) \ (x \ 1)) * K(x,z).
K(x / (x * ((y * x) \ y)),z) / (x * ((y * x) \ y)) = ((y * x) \ y) \ (x \ K(x,z)).
K((x * ((y * x) \ y)) \ x,z) / (x * ((y * x) \ y)) = ((y * x) \ y) \ (x \ K(x,z)).
K(1 / ((x * y) \ x),z) / (y * ((x * y) \ x)) = ((x * y) \ x) \ (y \ K(y,z)).
K((x / 1) \ (x * y),z) / (y * ((x * y) \ x)) = ((x * y) \ x) \ (y \ K(y,z)).
K(x \ (x * y),z) / (y * ((x * y) \ x)) = ((x * y) \ x) \ (y \ K(y,z)).
K(x,y) / (x * ((z * x) \ z)) = ((z * x) \ z) \ (x \ K(x,y)).
((x * y) \ x) \ (y \ K(y,y \ 1)) = 1 / (((x * y) \ x) * y).
((x * y) \ x) \ (1 / y) = 1 / (((x * y) \ x) * y).
1 / (((x * y) \ x) * y) = ((x * y) \ x) \ (1 / y).
((x * y) \ x) \ (1 / y) = (((x * y) \ x) * y) \ 1.
(((x * y) \ x) * y) \ 1 = ((x * y) \ x) \ (1 / y).
((x * y) \ x) \ (1 / y) = y \ (((x * y) \ x) \ 1).
L(x,y,((z \ (((u * z) \ u) \ 1)) \ 1) \ (1 / z)) = L(x,y,((u * z) \ u) \ ((1 / z) * (1 / z))).
L(x,y,(((z * u) \ z) * u) \ (1 / u)) = L(x,y,((z * u) \ z) \ ((1 / u) * (1 / u))).
L(x,y,((z * u) \ z) \ ((1 / u) * (1 / u))) = L(x,y,(((z * u) \ z) * u) \ (1 / u)).
L(x,y,((z * u) \ z) \ ((1 / u) * (1 / u))) = L(x,y,L(1 / u,u,z \ (u \ 1))).
L(x,y,((z * u) \ z) \ ((1 / u) * (1 / u))) = L(x,y,L(u \ 1,u,z \ (u \ 1))).
L(x,y,((z * u) \ z) \ ((1 / u) * (1 / u))) = L(x,y,L(1 / u,u,z \ 1)).
L(x,y,((z * u) \ z) \ ((1 / u) * (1 / u))) = L(x,y,L(u \ 1,u,z \ 1)).
L(x,y,((z * u) \ z) \ ((u \ 1) / u)) = L(x,y,L(u \ 1,u,z \ 1)).
L(x,y,L(z \ 1,z,u \ 1)) = L(x,y,((u * z) \ u) \ (z \ (z \ 1))).
L(x,y,((z * u) \ z) \ (u \ (u \ 1))) = L(x,y,L(u \ 1,u,z \ 1)).
L(x,y,L(z \ 1,z,u \ 1)) = L(x,y,(u \ (z \ u)) \ (z \ (z \ 1))).
L(x,y,(z \ (u \ z)) \ (u \ (u \ 1))) = L(x,y,L(u \ 1,u,z \ 1)).
L(x,y,L(z \ 1,z,u \ 1)) = L(x,y,z \ a(z,z,u)).
a(x,L(y,L(z \ 1,z,u \ 1),z \ a(z,z,u)) * L(z \ 1,z,u \ 1),w) = a(x,(L(z \ 1,z,u \ 1) \ 1) \ y,w).
T((x / (y * ((y * x) \ x))) / x,y * ((y * x) \ x)) = (y \ (x / (y \ 1))) \ T(x,y \ ((x \ (y \ x)) \ 1)).
T((x / (y * ((y * x) \ x))) / x,y * ((y * x) \ x)) = (y \ (x / (y \ 1))) \ T(x,K(y,x)).
T((x / (y * ((y * x) \ x))) / x,y * ((y * x) \ x)) = (y \ (x / (y \ 1))) \ x.
T((x / (y * ((y * x) \ x))) / x,y * ((y * x) \ x)) = y \ (1 / ((y * x) \ x)).
T(((x * y) * (x \ 1)) / y,x * ((x * y) \ y)) = x \ (1 / ((x * y) \ y)).
T(x \ ((y * x) * (y \ 1)),y * ((y * x) \ x)) = y \ (1 / ((y * x) \ x)).
x \ (1 / ((x * y) \ y)) = T(y \ ((x * y) * (x \ 1)),x * (y \ (x \ y))).
T(x \ ((y * x) * (y \ 1)),y * (x \ (y \ x))) = y \ (1 / ((y * x) \ x)).
x \ (1 / ((x * y) \ y)) = T(y \ ((x * y) * (x \ 1)),K(x,y)).
T(x \ ((y * x) * (y \ 1)),K(y,x)) = y \ (1 / ((y * x) \ x)).
(x * ((R(y,z,u) * (y \ w)) \ w)) / T(x,R(y,z,u) \ y) = ((y \ w) * R(T(y,y \ w),z,u)) \ w.
((x \ y) * R(T(x,x \ y),z,u)) \ y = (w * ((R(x,z,u) * (x \ y)) \ y)) / T(w,R(x,z,u) \ x).
((x \ y) * R(T(x,x \ y),z,u)) \ y = (w * ((R(x,z,u) * (x \ y)) \ y)) / w.
(R(x,y,z) * (x \ u)) \ u = (w * ((R(x,y,z) * (x \ u)) \ u)) / w.
(x * ((R(y,z,u) * (y \ w)) \ w)) / x = (R(y,z,u) * (y \ w)) \ w.
x / (R(y,z,u) * (y \ x)) = (R(y,z,u) * (y \ x)) \ x.
x / (R(y,z,u) * (y \ x)) = ((x / y) * R(y,z,u)) \ x.
((L(x,y,z) * (x \ u)) \ u) * K(L(x,y,z) \ x,w) = T(((x \ u) * L((x \ u) \ u,y,z)) \ u,w).
T(((x \ y) * L((x \ y) \ y,z,u)) \ y,w) = ((L(x,z,u) * (x \ y)) \ y) * K(L(x,z,u) \ x,w).
T(((x \ y) * L((x \ y) \ y,z,u)) \ y,w) = ((L(x,z,u) * (x \ y)) \ y) * 1.
(L(x,y,z) * (x \ u)) \ u = T(((x \ u) * L((x \ u) \ u,y,z)) \ u,w).
T(((x \ y) * L((x \ y) \ y,z,u)) \ y,w) = (L(x,z,u) * (x \ y)) \ y.
T((L(x,y,z) * (x \ u)) \ u,w) = (L(x,y,z) * (x \ u)) \ u.
x / ((L(y,z,u) * (y \ w)) \ w) = ((L(y,z,u) * (y \ w)) \ w) \ x.
x / (((y / z) * L(z,u,w)) \ y) = ((L(z,u,w) * (z \ y)) \ y) \ x.
x / L(y \ L(y,z,u),y,x) = x * (1 / (((L(y,z,u) * (y \ x)) \ x) \ 1)).
x / L(y \ L(y,z,u),y,x) = x * ((L(y,z,u) * (y \ x)) \ x).
x * ((L(y,z,u) * (y \ x)) \ x) = L(y \ L(y,z,u),y,x) \ x.
L(x \ L(x,y,z),x,u) \ u = u * ((L(x,y,z) * (x \ u)) \ u).
a(x * (y * L(R(y,z,y) \ (x \ u),x,R(y,z,y))),w,v5) = a(y * (x * ((y * x) \ u)),w,v5).
a(x * (y * L(R(y,z,y) \ (x \ u),x,y)),w,v5) = a(y * (x * ((y * x) \ u)),w,v5).
a(x * L(y * (R(y,z,y) \ (x \ u)),x,y),w,v5) = a(y * (x * ((y * x) \ u)),w,v5).
a(x * L(a(y,z,y) \ (x \ u),x,y),w,v5) = a(y * (x * ((y * x) \ u)),w,v5).
a(x * ((y * x) \ (L(y,z,y) * u)),w,v5) = a(y * (x * ((y * x) \ u)),w,v5).
a(x * (y * ((x * y) \ z)),u,w) = a(((x * y) \ (x * z)) * y,u,w).
a(((x * y) \ (x * z)) * y,u,w) = a(x * (y * ((x * y) \ z)),u,w).
a(x * (y * ((x * y) \ z)),u,w) = a(y * ((y * x) \ (x * z)),u,w).
a(x * ((x * y) \ (y * z)),u,w) = a(y * (x * ((y * x) \ z)),u,w).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = (L(u,x / (y * x),L(T(y,z),y,x)) * K(y,z)) \ (u * K(y,z)).
L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x) = L((x * x) \ x,T(x \ 1,x) \ L(y,z,u),x \ 1).
L((x * x) \ x,T(x \ 1,x) \ L(y,z,u),x \ 1) = L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x).
L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x) = L((x * x) \ x,(x \ 1) \ L(y,z,u),x \ 1).
L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x) = R(x \ 1,x \ ((x \ 1) \ L(y,z,u)),x).
R(x \ 1,x \ ((x \ 1) \ L(y,z,u)),x) = L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x).
L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x) = R(x \ 1,L(y,z,u),x).
R(x \ 1,L(y,z,u),x) = L((x * x) \ x,((x * x) \ x) \ y,(x * x) \ x).
R(x \ 1,L(y,z,u),x) = L((x * x) \ x,((x * x) \ x) \ y,x \ 1).
R(x \ 1,L(y,z,u),x) = L((x * x) \ x,(x \ 1) \ y,x \ 1).
R(x \ 1,L(y,z,u),x) = R(x \ 1,x \ ((x \ 1) \ y),x).
R(x \ 1,L(y,z,u),x) = R(x \ 1,y,x).
R(1 / (x \ 1),L(y,z,u),x) = 1 / R(x \ 1,y,x).
R(1 / (x \ 1),y,x) = R(1 / (x \ 1),L(y,z,u),x).
R(1 / (x \ 1),L(y,z,u),x) = R(1 / (x \ 1),y,x).
R(1 / (x \ 1),L(y,z,u),x) = R(x,y,x).
R(x,L(y,z,u),x) = R(x,y,x).
R(x,(y * z) \ u,x) = R(x,z \ (y \ u),x).
R(x,y \ (z * u),x) = R(x,(z \ y) \ u,x).
R(x,(y \ z) \ u,x) = R(x,z \ (y * u),x).
R(x,a(y,z,u),x) = R(x,y \ R(y,z,u),x).
R(x,y \ R(y,z,u),x) = R(x,a(y,z,u),x).
R(x,y,x) = R(x,R(y,z,u),x).
R(x,R(y,z,u),x) = R(x,y,x).
R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u).
a(x,y,R(z,u,w) / R(v5,z,v5)) = a(x,y,(R(z,u,w) / (R(z,u,w) * v5)) * L(z,u,w)).
a(x,R(y,z,u) / R(w,y,w),v5) = a(x,(R(y,z,u) / (R(y,z,u) * w)) * L(y,z,u),v5).
R(x,y \ ((y \ z) \ u),x) = R(x,z \ u,x).
R(x,y \ (z \ u),x) = R(x,(y * z) \ u,x).
R(x,(y * z) \ u,x) = R(x,y \ (z \ u),x).
T(x * K(y * z,x),y * (x \ z)) = R(x,x \ (z * y),x).
R(x,y \ (R(y \ 1,z,u) \ w),x) = R(x,(R(y,z,u) \ y) \ w,x).
R(x,y \ (z \ R(y * z,u,w)),x) = R(x,a(y * z,u,w),x).
T(x * R(y,y,x),x) = R(y * x,y,x).
(R(x,x,y) \ x) \ T(y * x,y) = T(y * R(x,x,y),y).
T(x * R(y,y,x),x) = y * ((1 / y) * T(x * y,x)).
T(x * ((1 / x) * (y * x)),y) = T(y * R(x,x,y),y).
T(x * R(y,y,x),x) = T(y * ((1 / y) * (x * y)),x).
T(x * R(y,y,x),x) = T(L(x,y,y \ 1) * y,x).
T(L(x,y,y \ 1) * y,x) = T(x * R(y,y,x),x).
T(L(x,y,y \ 1) * y,x) = R(y * x,y,x).
x \ R(x * y,x,y) = L(R(y,x,y),x,x \ 1).
L(R(x,y,x),y,y \ 1) = y \ R(y * x,y,x).
x \ R(x * y,x,y) = (1 / x) * T(y * x,y).
x \ R(x * (x \ (y \ x)),x,x \ (y \ x)) = (1 / x) * T((y \ x) * K(y \ 1,x),x \ (y \ x)).
(x \ (x * (y * (x \ z)))) \ T(x * (y * (x \ z)),x) = R(x,x \ (z * y),x).
(x \ (R(x * x,x,y) / x)) \ R(R(x,x,y),x,y) = R(x,a(x * x,x,y),x).
R(x,y \ (R(y \ 1,z,u) \ w),x) = R(x,y \ (R(y,z,u) * w),x).
R(x,y \ (R(y \ 1,z,u) \ w),x) = R(x,(w / y) * R(y,z,u),x).
R(x,y \ (R(y \ 1,z,u) \ w),x) = R(x,(y \ w) * R(y,z,u),x).
R(x,(x \ y) * R(x,z,u),x) = R(x,y,x).
(x * (y \ z)) \ T(y * (x * (y \ z)),y) = R(y,y \ (z * x),y).
R(x,x \ (y * z),x) = R(x,z * (x \ y),x).
R(x,x \ (y * z),x) = R(x,T(y,z) * (x \ z),x).
R(x,T(y,z) * (x \ z),x) = R(x,x \ (y * z),x).
R(x,y * (x \ z),x) = (x \ (z * y)) \ T(z * y,x).
R(x,L(x,y,z) * (x \ u),x) = R(x,u,x).
R(x,y,x) = ((x * (L(x,z,u) * (x \ y))) * x) / ((L(x,z,u) * (x \ y)) * x).
((x * (L(x,y,z) * (x \ u))) * x) / ((L(x,y,z) * (x \ u)) * x) = R(x,u,x).
R(x,T(y,z) * (x \ z),x) = R(x,z * (x \ y),x).
R(x,y * (x \ z),x) = R(x,z * (x \ y),x).
R(x,y * (x \ z),x) = R(x,(x \ y) * z,x).
R(x,(x \ y) * z,x) = R(x,y * (x \ z),x).
R(x,y * (x \ R(x,z,u)),x) = R(x,y,x).
R(x,y * a(x,x,z),x) = R(x,y,x).
R(x,y,x) = L(x,y,x \ 1).
L(x,y,x \ 1) = R(x,y,x).
L(R(x,y,z),u,x \ 1) = R(R(x,u,x),y,z).
L(R(x,y,x),z,u) = L(L(x,z,u),y,x \ 1).
L(L(x,y,z),u,x \ 1) = L(R(x,u,x),y,z).
L(1 / x,y,x) = R(1 / x,y,1 / x).
R(1 / x,y,1 / x) = L(1 / x,y,x).
R(x \ 1,y,x \ 1) = L(x \ 1,y,x).
L(1 / x,y,x) = R(1 / x,y,x \ 1).
R(1 / x,y,x \ 1) = L(1 / x,y,x).
x * L(x \ 1,y,x) = R(x,y,x \ 1) \ x.
R(x,y,x \ 1) \ x = x * L(x \ 1,y,x).
R(L(1 / x,y,x),x,x \ y) = (x * y) \ T(y,x \ 1).
L(((x \ 1) * y) \ y,z,T(x,x \ y) \ 1) = R(R(T(x,x \ y),z,T(x,x \ y)),x \ 1,y).
R(R(T(x,x \ y),z,T(x,x \ y)),x \ 1,y) = L(((x \ 1) * y) \ y,z,T(x,x \ y) \ 1).
L((x * y) \ y,z,((L(x,u,x) * y) \ y) \ 1) = R(R((L(x,u,x) * y) \ y,z,(L(x,u,x) * y) \ y),u,x).
R(R((L(x,y,x) * z) \ z,u,(L(x,y,x) * z) \ z),y,x) = L((x * z) \ z,u,((L(x,y,x) * z) \ z) \ 1).
L(R(x,x,x),x,y) = L(x,x,x \ y).
a((x \ L(x,x,x \ y)) \ z,u,w) = a((x \ L(x,x,y)) \ z,u,w).
L(x,(y \ L(y,y,y \ z)) * u,w) = L(x,(a(z,y,y) \ 1) * u,w).
R(x,y,(z \ L(z,z,z \ u)) * w) = R(x,y,(a(u,z,z) \ 1) * w).
x \ (y * (R(y \ x,z,(y \ x) \ 1) \ (y \ x))) = L(L((y \ x) \ 1,z,y \ x),y \ x,y).
(x \ (1 * y)) \ T(1 * y,x) = R(x,x \ y,x).
R(x,x \ y,x) = (x \ (1 * y)) \ T(1 * y,x).
((x * y) \ (1 * y)) \ T(1 * y,x * y) = R(x * y,x \ 1,x * y).
R(x * y,x \ 1,x * y) = ((x * y) \ (1 * y)) \ T(1 * y,x * y).
L(R(1 / x,x,x \ y),y,x) = (x * y) \ T(y,x \ 1).
(x * y) \ T(y,x \ 1) = y \ T(x \ y,x \ 1).
a((x * (y \ T(z \ y,z \ 1))) \ u,w,v5) = a((x * ((z * y) \ y)) \ u,w,v5).
a(x,y,(z * (u \ T(w \ u,w \ 1))) \ v5) = a(x,y,(z * ((w * u) \ u)) \ v5).
a(a(x \ y,x,x) * z,u,w) = a((x \ L(x,x,y)) \ z,u,w).
a((x \ L(x,x,y)) \ z,u,w) = a(a(x \ y,x,x) * z,u,w).
a(a(x,y,y) * z,u,w) = a(a(y \ x,y,y) * z,u,w).
a(a(x \ y,x,x) * z,u,w) = a(a(y,x,x) * z,u,w).
a(a(x,y,y) * z,u,w) = a(z * a(y \ x,y,y),u,w).
a(x * a(y \ z,y,y),u,w) = a(a(z,y,y) * x,u,w).
L(x,a(y \ z,z,z) * u,w) = L(x,(a(y,z,z) \ 1) * u,w).
L(x,a(y \ z,z,z) * u,w) = L(x,a(y \ 1,z,z) * u,w).
L(x,a(y \ 1,z,z) * u,w) = L(x,a(y \ z,z,z) * u,w).
L(x,a(y,z,z) \ u,w) = L(x,a(y \ z,z,z) * u,w).
L(x,a(y \ z,z,z) * u,w) = L(x,a(y,z,z) \ u,w).
L(x,a(y,z,z) \ y,u) = L(x,L(y,z,z \ 1),u).
L(x,L(y,z,z \ 1),u) = L(x,a(y,z,z) \ y,u).
L(x,a(y,z,z) \ y,u) = L(x,L(y,z,z \ y),u).
L(x,L(y,z,z \ y),u) = L(x,a(y,z,z) \ y,u).
a(L(x,L(x,y,y \ x),z),y,y) = a(L(x,x,z),y,y).
R(x,y,a(z \ u,u,u) * w) = R(x,y,(a(z,u,u) \ 1) * w).
R(x,y,a(z \ u,u,u) * w) = R(x,y,a(z \ 1,u,u) * w).
R(x,y,a(z \ 1,u,u) * w) = R(x,y,a(z \ u,u,u) * w).
R(x,y,a(z,u,u) \ w) = R(x,y,a(z \ u,u,u) * w).
R(x,y,a(z \ u,u,u) * w) = R(x,y,a(z,u,u) \ w).
R(x,y,a(z,u,u) \ z) = R(x,y,L(z,u,u \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,a(z,u,u) \ z).
R(x,y,L(z,u,u \ 1) * a(u \ 1,u \ 1,z)) = R(x,y,a(a(u \ 1,u \ 1,z) * z,u,u) \ (a(u \ 1,u \ 1,z) * z)).
R(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = R(x,y,L(u,z,z \ 1) * a(z \ 1,z \ 1,u)).
R(x,y,a(z,u,u) \ z) = R(x,y,L(z,u,u \ z)).
R(x,y,L(z,u,u \ z)) = R(x,y,a(z,u,u) \ z).
R(x,y,L(z * u,z,u)) = R(x,y,a(z * u,z,z) \ (z * u)).
R(x,y,a(z * u,z,z) \ (z * u)) = R(x,y,L(z * u,z,u)).
R(x,y,L(z,z,z * u) * u) = R(x,y,L(z * u,z,u)).
R(x,y,L(z * u,z,u)) = R(x,y,u * L(z,z,u)).
R(x,y,(z \ u) * (z * z)) = R(x,y,L(z * u,z,u)).
R(x,y,L(z * u,z,u)) = R(x,y,(z \ u) * (z * z)).
((x * y) \ (1 * y)) \ T(1 * y,x * y) = ((1 / y) * (x \ 1)) \ 1.
((x * y) \ y) \ T(1 * y,x * y) = ((1 / y) * (x \ 1)) \ 1.
((x * y) \ y) \ T(y,x * y) = ((1 / y) * (x \ 1)) \ 1.
(x \ (R(x * x,x,y) / x)) \ R(R(x,x,y),x,y) = x.
(x \ (x \ R(x * x,x,y))) \ R(R(x,x,y),x,y) = x.
((L(x,y,z) * u) * x) / ((L(x,y,z) * (x \ u)) * x) = R(x,u,x).
((x * y) * L(x,z,u)) / ((L(x,z,u) * (x \ y)) * x) = R(x,y,x).
((x * y) * L(x,z,u)) / ((x * (x \ y)) * L(x,z,u)) = R(x,y,x).
((x * y) * L(x,z,u)) / (y * L(x,z,u)) = R(x,y,x).
R(x,y,L(x,z,u)) = R(x,y,x).
R(R(x,y,x),z,u) = R(R(x,z,u),y,L(x,w,v5)).
R(R(x,y,z),u,L(x,w,v5)) = R(R(x,u,x),y,z).
R(x \ 1,y,L(x,z,u)) = R(x,y,x) \ 1.
R(x,y,x) = R(x,y,(z \ (x \ z)) \ 1).
R(x,y,(z \ (x \ z)) \ 1) = R(x,y,x).
R((x * y) \ y,z,(y \ T(x * y,x \ 1)) \ 1) = R((x * y) \ y,z,(x * y) \ y).
R(x \ 1,y,x) = R(x \ 1,y,L(x,z,u)).
R(x \ 1,y,L(x,z,u)) = R(x \ 1,y,x).
R(x,y,L(1 / x,z,u)) = R((1 / x) \ 1,y,1 / x).
R((1 / x) \ 1,y,1 / x) = R(x,y,L(1 / x,z,u)).
a(R(x,y,z),u,L(x,w,v5)) = R(R(x,y,z) \ R(R(x,u,x),y,z),R(x,y,z),u * L(x,w,v5)).
R(R(x,y,z) \ R(R(x,u,x),y,z),R(x,y,z),u * L(x,w,v5)) = a(R(x,y,z),u,L(x,w,v5)).
R((1 / x) \ 1,y,1 / x) = R(x,y,L(x \ 1,z,u)).
R(x,y,1 / x) = R(x,y,L(x \ 1,z,u)).
R(x,y,L(x \ 1,z,u)) = R(x,y,1 / x).
R(x,y,L(x \ 1,z,u)) = R(x,y,x \ 1).
R(x,y,x \ 1) = R(x,y,z \ (x \ z)).
R(x,y,z \ (x \ z)) = R(x,y,x \ 1).
R(x \ y,z,y \ x) = R(x \ y,z,(x \ y) \ 1).
R(x \ y,z,(x \ y) \ 1) = R(x \ y,z,y \ x).
R(x / y,z,x \ y) = R(x / y,z,(x / y) \ 1).
R(x / y,z,(x / y) \ 1) = R(x / y,z,x \ y).
R(x / y,z,x \ y) \ (x / y) = a(x \ y,z,x \ y).
a(x \ y,z,x \ y) = R(y \ x,z,x \ y) \ (y \ x).
R(x \ y,z,y \ x) \ (x \ y) = a(y \ x,z,y \ x).
a((x * ((y * z) \ z)) \ u,w,v5) = a((x * (z \ (y \ z))) \ u,w,v5).
a(x,y,(z * ((u * w) \ w)) \ v5) = a(x,y,(z * (w \ (u \ w))) \ v5).
a(x,y,L((z \ 1) * u,u,z)) = a(x,y,(z * (z \ (u \ z))) \ 1).
a(x,y,L((z \ 1) * u,u,z)) = a(x,y,(u \ z) \ 1).
a(x,y,L(((z * (u * w)) \ 1) * (w * T(z,u * w)),w * T(z,u * w),z * (u * w))) = a(x,y,R(T(u,z * w),w,z) \ 1).
R((x * y) \ y,z,T(T(x,y) \ 1,y * x)) = R((x * y) \ y,z,(x * y) \ y).
R((x * y) \ y,z,(x * y) \ y) = R((x * y) \ y,z,T(x,y) \ 1).
R((x * y) \ y,z,T(x,y) \ 1) = R((x * y) \ y,z,(x * y) \ y).
R((x * y) \ y,z,(x * y) \ y) = R((x * y) \ y,z,x \ 1).
R((x * y) \ y,z,x \ 1) = R((x * y) \ y,z,y \ (x \ y)).
R((x * y) \ y,z,y \ (x \ y)) = R((x * y) \ y,z,x \ 1).
a(x,y,(R(z,u,w) / (R(z,u,w) * v5)) * L(z,u,w)) = a(x,y,R(v5,z,v5) \ R(z,u,w)).
a(x,y,R(z,u,z) \ R(u,w,v5)) = a(x,y,(R(u,w,v5) / (R(u,w,v5) * z)) * L(u,w,v5)).
a(x,(R(y,z,u) / (R(y,z,u) * w)) * L(y,z,u),v5) = a(x,R(w,y,w) \ R(y,z,u),v5).
a(x,R(y,z,y) \ R(z,u,w),v5) = a(x,(R(z,u,w) / (R(z,u,w) * y)) * L(z,u,w),v5).
a(x,y,(R(z,u,w) / (R(z,u,w) * v5)) * L(z,u,w)) = a(x,y,v5 \ R(z,u,w)).
a(x,y,z \ R(u,w,v5)) = a(x,y,((R(u,w,v5) * z) \ R(u,w,v5)) * L(u,w,v5)).
a(x,y,((R(z,u,w) * v5) \ R(z,u,w)) * L(z,u,w)) = a(x,y,v5 \ R(z,u,w)).
a(x,y,((L(z,u,w) * v5) \ L(z,u,w)) * L(z,u,w)) = a(x,y,v5 \ R(z,u,w)).
a(x,y,z \ R(u,w,v5)) = a(x,y,(L(u,w,v5) \ (z \ L(u,w,v5))) * L(u,w,v5)).
a(x,y,(L(z,u,w) \ (v5 \ L(z,u,w))) * L(z,u,w)) = a(x,y,v5 \ R(z,u,w)).
a(x,y,z \ R(u,w,v5)) = a(x,y,z \ L(u,w,v5)).
a(x,y,z \ L(u,w,v5)) = a(x,y,z \ R(u,w,v5)).
a(x,y,R(z,u,w) \ L(v5,u,w)) = a(x,y,R(z \ v5,u,w)).
a(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,T((R(w,v5,v6) / u) * z,z \ u)).
a(x,y,z \ L(u,u \ 1,u * w)) = a(x,y,z \ (a(u,u,w) \ u)).
a(x,y,L(z \ u,w,v5)) = a(x,y,R(z,w,v5) \ L(u,w,v5)).
a(x,y,R(z,u,w) \ L(v5,u,w)) = a(x,y,L(z \ v5,u,w)).
a(x,y,L(z,u,u) \ L(w,u,u)) = a(x,y,L(z \ w,u,u)).
a(x,y,(T(z,z \ 1) \ u) \ L(w,z,z)) = a(x,y,L(((z \ 1) * u) \ w,z,z)).
a(x,y,L(((z \ 1) * u) \ w,z,z)) = a(x,y,(z \ u) \ L(w,z,z)).
a(x,y,L(L(T(z,u),u,w \ 1),w,w)) = a(x,y,(w \ u) \ L((w \ 1) * (z * u),w,w)).
a(x,y,(z \ u) \ L((z \ 1) * (w * u),z,z)) = a(x,y,L(L(T(w,u),u,z \ 1),z,z)).
a(x,(R(y,z,u) / (R(y,z,u) * w)) * L(y,z,u),v5) = a(x,w \ R(y,z,u),v5).
a(x,y \ R(z,u,w),v5) = a(x,((R(z,u,w) * y) \ R(z,u,w)) * L(z,u,w),v5).
a(x,((R(y,z,u) * w) \ R(y,z,u)) * L(y,z,u),v5) = a(x,w \ R(y,z,u),v5).
a(x,((L(y,z,u) * w) \ L(y,z,u)) * L(y,z,u),v5) = a(x,w \ R(y,z,u),v5).
a(x,y \ R(z,u,w),v5) = a(x,(L(z,u,w) \ (y \ L(z,u,w))) * L(z,u,w),v5).
a(x,(L(y,z,u) \ (w \ L(y,z,u))) * L(y,z,u),v5) = a(x,w \ R(y,z,u),v5).
a(x,y \ R(z,u,w),v5) = a(x,y \ L(z,u,w),v5).
a(x,y \ L(z,u,w),v5) = a(x,y \ R(z,u,w),v5).
a(x,L(y \ z,y,z \ R(u,w,v5)) \ L(u,w,v5),v6) = a(x,T((R(u,w,v5) / z) * y,y \ z),v6).
a(x,y \ L(y,z,z),u) = a(x,a(y,z,z),u).
a(x,a(x,y,y),x \ z) = a(x,x \ L(x,y,y),z).
a(x,x \ L(x,y,y),z) = a(x,a(x,y,y),x \ z).
a(x,a(y,y,z \ 1),u) = a(x,a(z,y,y),u).
a(x,a(y,z,z),u) = a(x,a(z,z,y \ z),u).
a(x,a(y,y,z \ y),u) = a(x,a(z,y,y),u).
a(x,a(x,y,y),x \ z) = a(x,a(x,y,y),z).
R(R(T(x,x \ y),z,T(x,x \ y)),x \ 1,y) = L(((x \ 1) * y) \ y,z,x \ 1).
R(R(T(x,x \ y),z,x),x \ 1,y) = L(((x \ 1) * y) \ y,z,x \ 1).
L(((x \ 1) * y) \ y,z,x \ 1) = R(((x \ 1) * y) \ y,z,x).
x \ (y * (R(y \ x,z,x \ y) \ (y \ x))) = L(L((y \ x) \ 1,z,y \ x),y \ x,y).
x \ (y * a(x \ y,z,x \ y)) = L(L((y \ x) \ 1,z,y \ x),y \ x,y).
L(L((x \ y) \ 1,z,x \ y),x \ y,x) = y \ (x * a(y \ x,z,y \ x)).
L(L((x \ y) \ 1,z,x \ y),x \ y,x) = a(y \ x,z,y \ x) * (y \ x).
L(L((x \ y) \ 1,z,x \ y),x \ y,x) = R(y \ x,z,y \ x).
R(x \ y,z,x \ y) = L(x \ (y * 1),z,y \ x).
L(x \ (y * 1),z,y \ x) = R(x \ y,z,x \ y).
L(x \ y,z,y \ x) = R(x \ y,z,x \ y).
L((x * y) \ y,z,T(x,y)) = R((x * y) \ y,z,(x * y) \ y).
R((x * y) \ y,z,(x * y) \ y) = L((x * y) \ y,z,T(x,y)).
L((x * y) \ y,z,T(x,y)) = R((x * y) \ y,z,x \ 1).
R((x * y) \ y,z,x \ 1) = L((x * y) \ y,z,T(x,y)).
R((x * y) \ y,z,x \ 1) = L((x * y) \ y,z,x).
R(R(x \ R(x,y,x),z,u),R(x,z,u),y * L(x,w,v5)) = a(R(x,z,u),y,L(x,w,v5)).
R(R(a(x,y,x),z,u),R(x,z,u),y * L(x,w,v5)) = a(R(x,z,u),y,L(x,w,v5)).
R(a(x,y,x),R(x,z,u),y * L(x,w,v5)) = a(R(x,z,u),y,L(x,w,v5)).
a(R(x,y,z),u,L(x,w,v5)) = a(x,u,x).
a(L(x,y,z),u,L(x,w,v5)) = a(x,u,x).
a(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,(R(w,v5,v6) / u) * z).
a(x,y,L(z \ u,z,u \ R(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,(u \ R(w,v5,v6)) * z).
a(x,y,L(z \ u,z,u \ L(w,v5,v6)) \ L(w,v5,v6)) = a(x,y,(u \ R(w,v5,v6)) * z).
a(x,y,T((L(z,u,w) / v5) * v6,v6 \ v5)) = a(x,y,(v5 \ R(z,u,w)) * v6).
a(x,y,(z \ R(u,w,v5)) * v6) = a(x,y,(L(u,w,v5) / z) * v6).
a(x,y,(L(z,u,w) / v5) * v6) = a(x,y,(v5 \ R(z,u,w)) * v6).
a(x,y,(z \ R(u,w,v5)) * v6) = a(x,y,(z \ L(u,w,v5)) * v6).
a(x,y,(z \ L(u,w,v5)) * v6) = a(x,y,(z \ R(u,w,v5)) * v6).
a(x,y,(z \ L((z \ u) \ u,w,w)) * v5) = a(x,y,a(z,w,w) * v5).
a(x,y,a(z,u,u) * w) = a(x,y,a(u,u,z) \ w).
a(x,y,a(z,z,u) \ w) = a(x,y,a(u,z,z) * w).
a(x,y,a(z,z,u) \ (w / (v5 * w))) = a(x,y,a(u,z,z) * R(1 / v5,v5,w)).
a(x,y,a(z,z,u) \ L(w,w \ 1,w * a(u,z,z))) = a(x,y,a(u,z,z) / (1 / w)).
a(x,y,a(z,z,u) \ ((w * v5) * a(a(u,z,z),w,v5))) = a(x,y,(a(u,z,z) * w) * v5).
a(x,y,a(z,z,u) \ (a(w,v5,v6) \ (a(w,v5,v6) / v7))) = a(x,y,a(u,z,z) * R(1 / v7,v7,a(w,v5,v6))).
a(x,y,a(z,u,u) / (1 / w)) = a(x,y,a(u,u,z) \ (a(w,w,a(z,u,u)) \ w)).
a(x,y,a(z,z,u) \ (a(w,w,a(u,z,z)) \ w)) = a(x,y,a(u,z,z) / (1 / w)).
a(x,y,a(z,z,u) \ L(w,w,a(z,z,u))) = a(x,y,a(u,z,z) / (1 / w)).
a(x,y,(a(z,z,u) / w) \ 1) = a(x,y,a(u,z,z) / (1 / w)).
a(x,y,a(z,u,u) / (1 / w)) = a(x,y,(a(u,u,z) / w) \ 1).
a(x,y,a(z,u,u) / (1 / w)) = a(x,y,(w \ a(u,u,z)) \ 1).
a(x,y,(z \ a(u,u,w)) \ 1) = a(x,y,(1 / z) \ a(w,u,u)).
a(x,y,(z \ a(u,u,w)) \ 1) = a(x,y,(z \ 1) \ a(w,u,u)).
a(x,y,(a(z,z,u) \ w) * v5) = a(x,y,(a(u,z,z) * w) * v5).
a(x,L(y \ z,y,z \ R(u,w,v5)) \ L(u,w,v5),v6) = a(x,(R(u,w,v5) / z) * y,v6).
a(x,L(y \ z,y,z \ R(u,w,v5)) \ L(u,w,v5),v6) = a(x,(z \ R(u,w,v5)) * y,v6).
a(x,L(y \ z,y,z \ L(u,w,v5)) \ L(u,w,v5),v6) = a(x,(z \ R(u,w,v5)) * y,v6).
a(x,T((L(y,z,u) / w) * v5,v5 \ w),v6) = a(x,(w \ R(y,z,u)) * v5,v6).
a(x,(y \ R(z,u,w)) * v5,v6) = a(x,(L(z,u,w) / y) * v5,v6).
a(x,(L(y,z,u) / w) * v5,v6) = a(x,(w \ R(y,z,u)) * v5,v6).
a(x,(y \ R(z,u,w)) * v5,v6) = a(x,(y \ L(z,u,w)) * v5,v6).
a(x,(y \ L(z,u,w)) * v5,v6) = a(x,(y \ R(z,u,w)) * v5,v6).
a(x,(y \ L((y \ z) \ z,u,u)) * w,v5) = a(x,a(y,u,u) * w,v5).
a(x,a(y,z,z) * u,w) = a(x,a(z,z,y) \ u,w).
a(x,a(y,y,z) \ u,w) = a(x,a(z,y,y) * u,w).
a(x,a(y,y,z) \ (u \ w),v5) = a(x,T(a(z,y,y) * (w / u),u),v5).
a(x,T(a(y,z,z) * (u / w),w),v5) = a(x,a(z,z,y) \ (w \ u),v5).
a(x,R(1 / y,y,z),u) = a(x,a(z,y,y) * (1 / y),u).
a(x,a(y,z,z) * (1 / z),u) = a(x,R(1 / z,z,y),u).
a(x,L(1 / y,y,z),u) = a(x,a(z,y,y) * (1 / y),u).
a(x,a(y,z,z) * (1 / z),u) = a(x,L(1 / z,z,y),u).
a(x,a(y,z,z) * (1 / z),u) = a(x,L(z \ 1,z,y),u).
a(x,1 / L(y,y,z),u) = a(x,L(y \ 1,y,z),u).
a(x,L(y \ 1,y,z),u) = a(x,1 / L(y,y,z),u).
a(x,L(y \ 1,y,z),u) = a(x,L(y,y,z) \ 1,u).
a(x,L(y \ 1,y,z),u) = a(x,y \ a(z,y,y),u).
a(x,y \ a(z,y,y),u) = a(x,z \ (y \ z),u).
a(x,T(a(y,z,z) * (u / z),z),w) = a(x,R(z,z,y) \ u,w).
a(x,T(y / L(z,z,u),z),w) = a(x,R(z,z,u) \ y,w).
a(x,L(y,y,z) \ u,w) = a(x,R(y,y,z) \ u,w).
a(x,L(y,y,z) \ L(u,R(y,y,z) \ 1,R(y,y,z)),w) = a(x,(R(y,y,z) \ 1) * u,w).
a(x,L(y \ z,y,z),u) = a(x,L(y,y,z) \ z,u).
a(x,L(y,y,z) \ L(u,R(y,y,z) \ 1,R(y,y,z)),w) = a(x,R(y \ 1,y,z) * u,w).
a(x,L(y,y,z) \ L(u,R(y \ 1,y,z),R(y,y,z)),w) = a(x,R(y \ 1,y,z) * u,w).
a(x,L(y,y,z) \ L(u,R(y \ 1,y,z),L(y,y,z)),w) = a(x,R(y \ 1,y,z) * u,w).
a(x,L(y,y,z) \ L(u,L(y \ 1,y,z),L(y,y,z)),w) = a(x,R(y \ 1,y,z) * u,w).
x \ R(y \ x,x,x \ (y \ x)) = (1 / x) * T((y \ x) * K(y \ 1,x),x \ (y \ x)).
(1 / x) * T((y \ x) * K(y \ 1,x),x \ (y \ x)) = x \ R(y \ x,x,x \ (y \ x)).
(1 / x) * T(K(y \ 1,x) * (y \ x),y \ 1) = x \ R(y \ x,x,x \ (y \ x)).
x \ R(y \ x,x,x \ (y \ x)) = (1 / x) * T(K(y \ 1,x) * (y \ x),y \ 1).
x \ R(y \ x,x,x \ (y \ x)) = (1 / x) * T((y \ x) * K(1 / y,x),y \ 1).
x \ R(y \ x,x,x \ (y \ x)) = (1 / x) * T((y \ x) * K(y \ 1,x),y \ 1).
a(x,y,z * (R(R(z,z,u),z,w) \ (a(z,z,u) / v5))) = a(x,y,a(w,z,z) * R(1 / v5,v5,a(z,z,u))).
a(x,y,a(z,u,u) * R(1 / w,w,a(u,u,v5))) = a(x,y,u * (R(R(u,u,v5),u,z) \ (a(u,u,v5) / w))).
R(R((L(x,y,x) * z) \ z,u,(L(x,y,x) * z) \ z),y,x) = L((x * z) \ z,u,(z \ (L(x,y,x) \ z)) \ 1).
R(R((L(x,y,x) * z) \ z,u,(L(x,y,x) * z) \ z),y,x) = L((x * z) \ z,u,(z \ (x \ z)) \ 1).
R(R((L(x,y,x) * z) \ z,u,z \ (L(x,y,x) \ z)),y,x) = L((x * z) \ z,u,(z \ (x \ z)) \ 1).
R(R((L(x,y,x) * z) \ z,u,z \ (x \ z)),y,x) = L((x * z) \ z,u,(z \ (x \ z)) \ 1).
L((x * y) \ y,z,(y \ (x \ y)) \ 1) = R((x * y) \ y,z,y \ (x \ y)).
L((x * y) \ y,z,(y \ (x \ y)) \ 1) = R((x * y) \ y,z,x \ 1).
L((x * y) \ y,z,(y \ (x \ y)) \ 1) = L((x * y) \ y,z,x).
L(x,y,L(((z \ 1) * u) \ u,w,z \ 1)) = L(x,y,R(z,z \ 1,u)).
L(x,y,R(((z \ 1) * u) \ u,w,z)) = L(x,y,R(z,z \ 1,u)).
L(x,y,L(((z \ 1) * u) \ u,w,z)) = L(x,y,R(z,z \ 1,u)).
L(x,y,R(z,z \ 1,u)) = L(x,y,L(u \ ((z \ 1) \ u),w,z)).
L(x,y,L(z \ ((u \ 1) \ z),w,u)) = L(x,y,R(u,u \ 1,z)).
L(x,y,L(z,z \ 1,u)) = L(x,y,L(u \ ((z \ 1) \ u),w,z)).
L(x,y,L(z \ ((u \ 1) \ z),w,u)) = L(x,y,L(u,u \ 1,z)).
a(x,x,y) * (y * L(a(x,x,y) \ 1,z,u)) = y * (L(1 / T(a(x,x,y),w),z,u) * a(x,x,y)).
x * (L(1 / T(a(y,y,x),z),u,w) * a(y,y,x)) = a(y,y,x) * (x * L(a(y,y,x) \ 1,u,w)).
x * (L(1 / T(a(y,y,x),z),u,w) * a(y,y,x)) = a(y,y,x) * (x * a(y \ 1,y,L(x,u,w))).
x * (L(1 / T(a(y,y,x),z),u,w) * a(y,y,x)) = a(y,y,x) * (a(y,y,L(x,u,w)) \ x).
x * (L(1 / T(a(y,y,x),z),u,w) * a(y,y,x)) = L(x * a(y,y,x),y,L(y,u,w)).
x * (L(a(y,y,x) \ 1,z,u) * a(y,y,x)) = L(x * a(y,y,x),y,L(y,z,u)).
x * (a(y \ 1,y,L(x,z,u)) * a(y,y,x)) = L(x * a(y,y,x),y,L(y,z,u)).
x * (a(y,y,L(x,z,u)) \ a(y,y,x)) = L(x * a(y,y,x),y,L(y,z,u)).
(x * K(y \ 1,y * x)) \ (x * R(y,y,x)) = x \ T(x * R(y,y,x),(x * y) \ L(x,y,y)).
x \ T(x * R(y,y,x),(x * y) \ L(x,y,y)) = (x * K(y \ 1,y * x)) \ (x * R(y,y,x)).
x \ T(x * R(y,y,x),(x * y) \ L(x,y,y)) = K(y * x,y \ 1) * R(y,y,x).
R(K(x * y,x \ 1) * x,x,y) = y \ T(y * R(x,x,y),(y * x) \ L(y,x,x)).
x \ T(x * R(y,y,x),(x * y) \ L(x,y,y)) = R(K(y * x,y \ 1) * y,y,x).
x \ T(x * R(y,y,x),(x * y) \ L(x,y,y)) = R(y * K(y * x,y \ 1),y,x).
x \ T(x * R(y,y,x),y \ (x \ L(x,y,y))) = R(y * K(y * x,y \ 1),y,x).
x \ T(x * R(y,y,x),y \ 1) = R(y * K(y * x,y \ 1),y,x).
R(x * K(x * y,x \ 1),x,y) = y \ T(y * R(x,x,y),x \ 1).
R(x * K(x * y,x \ 1),x,y) = ((x * y) \ y) \ 1.
T(x \ ((y * x) * (y \ 1)),K(y * x,y \ 1)) = (y \ 1) * (((y * x) \ x) \ 1).
T(x \ ((y * x) * (y \ 1)),K(y * x,y \ 1)) = (x / (y \ 1)) \ (y * x).
(x / (y \ 1)) \ (y * x) = T(x \ ((y * x) * (y \ 1)),K(y * x,y)).
T(x \ ((y * x) * (y \ 1)),K(y * x,y)) = (x / (y \ 1)) \ (y * x).
(x / (y \ 1)) \ (y * x) = T(x \ ((y * x) * (y \ 1)),K(y,y * x)).
T(x \ ((y * x) * (y \ 1)),K(y,y * x)) = (x / (y \ 1)) \ (y * x).
(x / (y \ 1)) \ (y * x) = T(x \ ((y * x) * (y \ 1)),K(y,x)).
T(x \ ((y * x) * (y \ 1)),K(y,x)) = (x / (y \ 1)) \ (y * x).
(x / (y \ 1)) \ (y * x) = y \ (1 / ((y * x) \ x)).
R(x,y,z \ (u \ (1 / ((u * w) \ w)))) = R(x,y,z \ (u \ (1 / (w / (u * w))))).
R(x,y,z \ (u \ (1 / (w / (u * w))))) = R(x,y,z \ (u \ (1 / ((u * w) \ w)))).
R(x,y,z \ (u \ (1 / (w / (u * w))))) = R(x,y,z \ (u \ (((u * w) \ w) \ 1))).
R(x,y,z \ (u \ (((u * w) \ w) \ 1))) = R(x,y,z \ (u \ ((w / (u * w)) \ 1))).
R(x,y,z \ (u \ ((w / (u * w)) \ 1))) = R(x,y,z \ (u \ (((u * w) \ w) \ 1))).
R(x,y,z \ a(u,u,w)) = R(x,y,z \ (u \ (((u * w) \ w) \ 1))).
R(x,y,z \ (u \ (((u * w) \ w) \ 1))) = R(x,y,z \ a(u,u,w)).
R(x,y,z \ a(u,u,w)) = R(x,y,z \ a(w,u,u \ 1)).
R(x,y,z \ a(u,w,w \ 1)) = R(x,y,z \ a(w,w,u)).
T(((x \ (x / y)) \ 1) / y,z) * ((x \ (x / y)) \ 1) = a(x,y,y \ 1) * (y * T(a(x,y,y \ 1),z)).
T(((x \ (x / y)) \ 1) / y,z) * ((x \ (x / y)) \ 1) = a(x,y,y \ 1) * (y * a(x,y,y \ 1)).
T(((x \ (x / y)) \ 1) / y,z) * ((x \ (x / y)) \ 1) = y * (a(x,y,y \ 1) * a(x,y,y \ 1)).
T(((x \ (x / y)) \ 1) / y,z) * ((x \ (x / y)) \ 1) = y * a(x * x,y,y \ 1).
T(a(x,y,y \ 1),z) * ((x \ (x / y)) \ 1) = y * a(x * x,y,y \ 1).
a(x,y,y \ 1) * ((x \ (x / y)) \ 1) = y * a(x * x,y,y \ 1).
((x * ((y * x) \ y)) * (a(y,x,x \ 1) * (z \ 1))) \ (x * ((y * x) \ y)) = (z \ ((x * ((y * x) \ y)) \ 1)) \ 1.
K(x \ (((y \ 1) \ 1) \ x),(x \ (y \ x)) \ 1) * R(x,y,y \ 1) = (y \ x) * (1 / (1 / ((x \ (y \ x)) \ 1))).
L(x,y,L((T(z \ u,w) / u) \ v5,u \ T(z \ u,w),z)) = L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)).
((x * (L(y,z,u) \ y)) * y) / (x * (((y \ L(y,z,u)) / y) \ 1)) = a(x,L(y,z,u) \ y,y).
((L(x,y,z) \ x) * (u * x)) / (u * (((x \ L(x,y,z)) / x) \ 1)) = a(u,L(x,y,z) \ x,x).
((L(x,y,z) \ x) * (u * x)) / (u * (x * (L(x,y,z) \ x))) = a(u,L(x,y,z) \ x,x).
a(x,L(y,z,u) \ y,y) = K(L(y,z,u) \ y,x * y) * a(x,y,L(y,z,u) \ y).
K(L(x,y,z) \ x,u * x) * a(u,x,L(x,y,z) \ x) = a(u,L(x,y,z) \ x,x).
1 * a(x,y,L(y,z,u) \ y) = a(x,L(y,z,u) \ y,y).
a(x,y,L(y,z,u) \ y) = a(x,L(y,z,u) \ y,y).
a(x,L(y,z,u) \ y,y) = a(x,y,L(y,z,u) \ y).
(a(x,y,z) * (u * R(z,w,v5))) / (a(x,y,z) * R(z,w,v5)) = R(u,a(x,y,z),L(R(z,w,v5),u,a(x,y,z))).
R(x,a(y,z,u),L(R(u,w,v5),x,a(y,z,u))) = (a(y,z,u) * (x * R(u,w,v5))) / (a(y,z,u) * R(u,w,v5)).
R(x,a(y,z,u),L(R(u,w,v5),x,a(y,z,u))) = L(x,R(u,w,v5),a(y,z,u)).
L(x,L(y,z,u),a(w,v5,y)) = R(x,a(w,v5,y),L(R(y,z,u),x,a(w,v5,y))).
R(x,a(y,z,u),L(R(u,w,v5),x,a(y,z,u))) = L(x,L(u,w,v5),a(y,z,u)).
R(x,a(y,z,u),R(u,w,v5)) = L(x,L(u,w,v5),a(y,z,u)).
L(x,L(y,z,u),a(w,v5,y)) = R(x,a(w,v5,y),R(y,z,u)).
R(x,a(y,z,u),L(u,w,v5)) = L(x,L(u,w,v5),a(y,z,u)).
L(x,L(y,z,u),a(w,v5,y)) = R(x,a(w,v5,y),L(y,z,u)).
L(x,a(y,z,u),L(u,w,v5)) = L(x,L(u,w,v5),a(y,z,u)).
L(x,L(y,z,u),a(w,v5,y)) = L(x,a(w,v5,y),L(y,z,u)).
(x * (a(y,z,u) \ 1)) \ K(w,(x \ a(y,z,u)) \ 1) = T((1 / (x \ 1)) * (a(y,z,u) \ 1),w) \ 1.
(x * (a(y,z,u) \ 1)) \ K(w,a(y,z,u) \ x) = T((1 / (x \ 1)) * (a(y,z,u) \ 1),w) \ 1.
(x * (a(y,z,u) \ 1)) \ K(w,x) = T((1 / (x \ 1)) * (a(y,z,u) \ 1),w) \ 1.
T((1 / (x \ 1)) * (a(y,z,u) \ 1),w) \ 1 = (x * (a(y,z,u) \ 1)) \ K(w,x).
T((1 / (x \ 1)) * (a(y,z,u) \ 1),w) \ 1 = a(y,z,u) * (T(x,w) \ 1).
T(x * (a(y,z,u) \ 1),w) \ 1 = a(y,z,u) * (T(x,w) \ 1).
(((x * y) \ x) \ L((x * y) \ x,y,x \ 1)) / ((x * y) \ x) = a(x,y,y \ 1) * (1 / ((x * y) \ x)).
(((x * y) \ x) \ L((x * y) \ x,y,x \ 1)) / ((x * y) \ x) = a(x,y,y \ 1) * ((x \ (x / y)) \ 1).
(((x * y) \ x) \ L((x * y) \ x,y,x \ 1)) / ((x * y) \ x) = y * a(x * x,y,y \ 1).
(x * a(y * y,x,x \ 1)) \ 1 = ((y * x) \ y) * (L((y * x) \ y,x,y \ 1) \ ((y * x) \ y)).
((x * y) \ x) * (L((x * y) \ x,y,x \ 1) \ ((x * y) \ x)) = (y * a(x * x,y,y \ 1)) \ 1.
((x * y) \ x) * (L((x * y) \ x,y,x \ 1) \ ((x * y) \ x)) = L(y \ 1,y,x * x).
((x * y) \ x) * ((y \ 1) \ ((x * y) \ x)) = L(y \ 1,y,x * x).
((x * y) \ x) * (y * ((x * y) \ x)) = L(y \ 1,y,x * x).
L(x \ 1,x,y * y) = L((y * x) \ y,x,y).
L((x * y) \ x,y,x) = L(y \ 1,y,x * x).
L(L(x \ 1,x,y),x,y) = L(x \ 1,x,y * y).
a(x,y,L(z \ 1,z,u * u)) = a(x,y,L(u \ (z \ u),z,u)).
a(x,y,L(z \ (u \ z),u,z)) = a(x,y,L(u \ 1,u,z * z)).
L(x \ (x / y),y,y \ x) = L(y \ 1,y,(y \ x) * (y \ x)).
L(x \ (x / y),y,y \ x) = L(1 / y,y,x * (y \ x)).
a(x,L(1 / y,y,z * (y \ z)) * ((y \ z) * y),u) = a(x,(y \ z) * (y * (z \ (z / y))),u).
a(x,T(L(1 / y,y,z * (y \ z)) * z,y),u) = a(x,(y \ z) * (y * (z \ (z / y))),u).
a(x,(y \ z) * (y * (z \ (z / y))),u) = a(x,L(1 / y,y,z * (y \ z)) * z,u).
a(x,L(1 / y,y,z * (y \ z)) * z,u) = a(x,(y \ z) * (y * (z \ (z / y))),u).
a(x,(y \ z) * (y * (z \ (z / y))),u) = a(x,L(y \ 1,y,z * (y \ z)) * z,u).
a(x,L(y \ 1,y,z * (y \ z)) * z,u) = a(x,(y \ z) * (y * (z \ (z / y))),u).
a(x,L(1 / y,y,z * z) * z,u) = a(x,(y \ z) * (y * (z \ (z / y))),u).
a(x,(y \ z) * (y * (z \ (z / y))),u) = a(x,L(1 / y,y,z * z) * z,u).
a(x,(y \ z) * (y * (z \ (z / y))),u) = a(x,L(y \ 1,y,z * z) * z,u).
R((x / y) \ T(z,u),z \ ((y \ x) \ z),z) \ ((x / y) \ T(z,u)) = (y \ x) \ (z / T(z * ((y \ x) \ 1),z)).
L(R(x \ 1,y,z),x,u) \ L(x \ 1,x,u) = L(R(1 / x,y,z) \ (1 / x),x,L(x,w,v5) * u).
L(R(1 / x,y,z) \ (1 / x),x,L(x,u,w) * v5) = L(R(x \ 1,y,z),x,v5) \ L(x \ 1,x,v5).
L(R(1 / x,y,z) \ (1 / x),x,L(x,u,w) * v5) = L(R(x \ 1,y,z) \ (x \ 1),x,v5).
L(R(1 / x,y,z) \ (1 / x),x,L(x,u,w) * v5) = L(x \ R(x,y,z),x,v5).
L(x \ R(x,y,z),x,L(x,u,w) * v5) = L(x \ R(x,y,z),x,v5).
L(x \ R(x,y,z),x,u) = L(x \ R(x,y,z),x,L(x,w,v5) \ u).
L(x \ R(x,y,z),x,L(x,u,w) \ v5) = L(x \ R(x,y,z),x,v5).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = (L(u,x / (y * x),L(y,y,x)) * K(y,z)) \ (u * K(y,z)).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = (L(u,(y * x) \ x,L(y,y,x)) * K(y,z)) \ (u * K(y,z)).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = (L(u,x \ (y \ x),L(y,y,x)) * K(y,z)) \ (u * K(y,z)).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = L(u * K(y,z),x \ (y \ x),L(y,y,x)) \ (u * K(y,z)).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = (L(u * K(y,z),x \ (y \ x),L(y,y,x)) \ u) * K(y,z).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = (K(z,y) * (L(u,x \ (y \ x),L(y,y,x)) \ u)) * K(y,z).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = T(L(u,x \ (y \ x),L(y,y,x)) \ u,K(y,z)).
T(L(x,y \ (z \ y),L(z,z,y)) \ x,K(z,u)) = a((y / (z * y)) \ K(z,u),y / (z * y),x).
a((x / (y * x)) \ K(y,z),x / (y * x),u) = L(u,x \ (y \ x),L(y,y,x)) \ u.
a(R(T(x,y),x,z),z / (x * z),u) = L(u,z \ (x \ z),L(x,x,z)) \ u.
L(x,y \ (z \ y),L(z,z,y)) \ x = a(R(T(z,u),z,y),(z * y) \ y,x).
a(R(T(x,y),x,z),(x * z) \ z,u) = L(u,z \ (x \ z),L(x,x,z)) \ u.
L(x,y \ (z \ y),L(z,z,y)) \ x = a(R(T(z,u),z,y),y \ (z \ y),x).
a(R(T(x,y),x,z),z \ (x \ z),u) = L(u,z \ (x \ z),L(x,x,z)) \ u.
a(L(T(x,y),x,z),z \ (x \ z),u) = L(u,z \ (x \ z),L(x,x,z)) \ u.
a(L(x,x,y),y \ (x \ y),z) = L(z,y \ (x \ y),L(x,x,y)) \ z.
L(x,y \ (z \ y),L(z,z,y)) \ x = a(L(z,z,y),y \ (z \ y),x).
(a(x,y,y \ 1) \ (a(x,y,y \ 1) * (z \ 1))) \ (y * ((x * y) \ x)) = (z \ ((y * ((x * y) \ x)) \ 1)) \ 1.
(x \ 1) \ (y * ((z * y) \ z)) = (x \ ((y * ((z * y) \ z)) \ 1)) \ 1.
(x \ ((y * ((z * y) \ z)) \ 1)) \ 1 = (x \ 1) \ (y * ((z * y) \ z)).
(x \ a(y,z,z \ 1)) \ 1 = (x \ 1) \ (z * ((y * z) \ y)).
(x \ 1) \ (y * ((z * y) \ z)) = (x \ a(z,y,y \ 1)) \ 1.
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,(z \ a(w,w,u)) \ 1).
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,(z \ 1) \ a(u,w,w)).
K(x \ (((y \ 1) \ 1) \ x),(y \ x) \ x) * R(x,y,y \ 1) = (y \ x) * (1 / (1 / ((x \ (y \ x)) \ 1))).
K(x \ (((y \ 1) \ 1) \ x),T(y,x)) * R(x,y,y \ 1) = (y \ x) * (1 / (1 / ((x \ (y \ x)) \ 1))).
K(((x \ 1) \ 1) \ 1,x) * R(y,x,x \ 1) = (x \ y) * (1 / (1 / ((y \ (x \ y)) \ 1))).
K(x \ 1,x) * R(y,x,x \ 1) = (x \ y) * (1 / (1 / ((y \ (x \ y)) \ 1))).
(x \ y) * (1 / (1 / ((y \ (x \ y)) \ 1))) = (y * x) * (x \ K(x \ 1,x)).
(x \ y) * (1 / (1 / ((y \ (x \ y)) \ 1))) = (y * (x \ 1)) * x.
(x \ y) * (1 / (y \ (x \ y))) = (y * (x \ 1)) * x.
(x \ a(y,z,u)) * (1 / L(x \ 1,x,a(y,z,u))) = (a(y,z,u) * (x \ 1)) * x.
(x \ a(y,z,u)) * (L(1 / x,x,a(y,z,u)) \ 1) = (a(y,z,u) * (x \ 1)) * x.
(x \ a(y,z,u)) * R(x,x,a(y,z,u)) = (a(y,z,u) * (x \ 1)) * x.
(x \ a(y,z,u)) * L(x,x,a(y,z,u)) = (a(y,z,u) * (x \ 1)) * x.
(x \ a(y,z,u)) * L(x,x,a(y,z,u)) = (x \ 1) * (a(y,z,u) * x).
(x \ a(y,z,x)) * x = (x \ 1) * (a(y,z,x) * x).
(x \ 1) * (a(y,z,x) * x) = (x \ a(y,z,x)) * x.
L(x,y,L((T(z \ u,w) / u) \ v5,u \ (z \ u),z)) = L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)).
(R(x,y,x) * y) \ ((1 / y) \ T(x,y)) = (y \ 1) \ (x / T(x * ((y \ 1) \ 1),x)).
(x \ 1) \ (y / T(y * ((x \ 1) \ 1),y)) = (R(y,x,y) * x) \ ((1 / x) \ T(y,x)).
(x \ 1) \ (y / T(y * ((x \ 1) \ 1),y)) = (y * x) \ ((1 / x) \ L(T(y,x),x,y)).
(x \ 1) \ (y / T(y * ((x \ 1) \ 1),y)) = (y * x) \ ((1 / x) \ T(y,x * y)).
T(a(L(x \ 1,y,z),R(x,u,w),R(x,u,w) \ 1),v5) = R(x,u,w) * ((R(x,u,w) * L(x,y,z)) \ L(x,y,z)).
T(a(L(x \ 1,y,z),R(x,u,w),R(x \ 1,u,w)),v5) = R(x,u,w) * ((R(x,u,w) * L(x,y,z)) \ L(x,y,z)).
T(a(L(x \ 1,y,z),R(x,u,w),L(x \ 1,u,w)),v5) = R(x,u,w) * ((R(x,u,w) * L(x,y,z)) \ L(x,y,z)).
T(a(L(x \ 1,y,z),L(x,u,w),L(x \ 1,u,w)),v5) = R(x,u,w) * ((R(x,u,w) * L(x,y,z)) \ L(x,y,z)).
T(a(x \ 1,L(x,y,z),x \ 1),u) = R(x,y,z) * ((R(x,y,z) * L(x,w,v5)) \ L(x,w,v5)).
T(a(x \ 1,x,x \ 1),y) = R(x,z,u) * ((R(x,z,u) * L(x,w,v5)) \ L(x,w,v5)).
T(K(x \ 1,x),y) = R(x,z,u) * ((R(x,z,u) * L(x,w,v5)) \ L(x,w,v5)).
R(x,y,z) * ((R(x,y,z) * L(x,u,w)) \ L(x,u,w)) = K(x \ 1,x).
x * K((L(y,z,u) \ y) \ (w \ x),a(v5,v6,v7) * w) = ((w * (L(y,z,u) \ y)) \ x) * (w * (L(y,z,u) \ y)).
((x * (L(y,z,u) \ y)) \ w) * (x * (L(y,z,u) \ y)) = w * K((L(y,z,u) \ y) \ (x \ w),a(v5,v6,v7) * x).
((x * (L(y,z,u) \ y)) \ w) * (x * (L(y,z,u) \ y)) = w * K((y \ L(y,z,u)) * (x \ w),a(v5,v6,v7) * x).
((x * (L(y,z,u) \ y)) \ w) * (x * (L(y,z,u) \ y)) = w * K(a(v5,v6,v7) * (x \ w),a(v8,v9,v10) * x).
((x * (L(y,z,u) \ y)) \ w) * (x * (L(y,z,u) \ y)) = w * K(a(v5,v6,v7) * (x \ w),x).
((x * (L(y,z,u) \ y)) \ w) * (x * (L(y,z,u) \ y)) = w * K(x \ w,x).
((x * (L(y,z,u) \ y)) \ w) * (x * (L(y,z,u) \ y)) = (x \ w) * x.
((x * (L(y,z,u) \ y)) \ (x * w)) * (x * (L(y,z,u) \ y)) = w * x.
(x * y) / (y * (L(z,u,w) \ z)) = (y * (L(z,u,w) \ z)) \ (y * x).
(x * y) / ((L(z,u,w) \ z) * y) = (y * (L(z,u,w) \ z)) \ (y * x).
(x * (L(y,z,u) \ y)) \ (x * ((L(y,z,u) \ y) * w)) = R(w,L(y,z,u) \ y,x).
L(x,L(y,z,u) \ y,w) = R(x,L(y,z,u) \ y,w).
(x * L(T(y,z),u,w)) * T(L(y,u,w) \ y,L(T(y,z),u,w)) = R(x,L(y,u,w),L(y,u,w) \ y) * T(y,z).
(x * L(T(y,z),u,w)) * T(L(y,u,w) \ y,L(T(y,z),u,w)) = (x * L(y,u,w)) * (L(y,u,w) \ T(y,z)).
(x * L(T(y,z),u,w)) * (L(y,u,w) \ y) = (x * L(y,u,w)) * (L(y,u,w) \ T(y,z)).
((x * L(y,z,u)) * (L(y,z,u) \ T(y,w))) / T(y,w) = R(x,L(T(y,w),z,u),L(T(y,w),z,u) \ y).
R(x,L(T(y,z),u,w),L(T(y,z),u,w) \ y) = ((x * L(y,u,w)) * (L(y,u,w) \ y)) / y.
R(x,L(T(y,z),u,w),L(T(y,z),u,w) \ y) = (L(y,u,w) \ y) * ((x * L(y,u,w)) / y).
R(x,L(T(y,z),u,w),L(T(y,z),u,w) \ y) = (L(y,u,w) \ y) * (L(y,u,w) * (y \ x)).
R(x,L(T(y,z),u,w),L(T(y,z),u,w) \ y) = L(y,u,w) * ((L(y,u,w) \ y) * (y \ x)).
L(x,y,z) * ((L(x,y,z) \ x) * (x \ u)) = R(u,L(T(x,w),y,z),L(x,y,z) \ x).
R(x,L(T(y,z),u,w),L(y,u,w) \ y) = L(y,u,w) * ((L(y,u,w) \ y) * (y \ x)).
R(x,L(y,z,u),L(y,z,u) \ y) = L(y,z,u) * ((L(y,z,u) \ y) * (y \ x)).
L(x,y,z) * ((L(x,y,z) \ x) * (x \ u)) = R(u,L(x,y,z),L(x,y,z) \ x).
L(x,L(y,z,u),L(y,z,u) \ y) = L(y,z,u) * ((L(y,z,u) \ y) * (y \ x)).
L(x,y,z) * ((L(x,y,z) \ x) * (x \ u)) = L(u,L(x,y,z),L(x,y,z) \ x).
R(x \ 1,y,z) * (R(x,y,z) * ((R(x,y,z) * L(x,u,w)) \ L(x,u,w))) = (L(x,u,w) * R(x,y,z)) \ L(x,u,w).
a(x \ 1,T(T(y,y \ 1),x) \ x,T(y,y \ 1)) / T(T(y,y \ 1),x) = (1 / x) * (R(y,x,y \ 1) \ x).
a(x \ 1,T(T(y,y \ 1),x) \ x,y) / T(T(y,y \ 1),x) = (1 / x) * (R(y,x,y \ 1) \ x).
a(x \ 1,T(y,y \ 1) \ x,y) / T(T(y,y \ 1),x) = (1 / x) * (R(y,x,y \ 1) \ x).
a(x \ 1,y \ x,y) / T(T(y,y \ 1),x) = (1 / x) * (R(y,x,y \ 1) \ x).
(1 / x) * (R(y,x,y \ 1) \ x) = T(y,x) \ a(x \ 1,y \ x,y).
T(x,y) \ a(y \ 1,x \ y,x) = (1 / y) * (R(x,y,x \ 1) \ y).
(1 / x) * (R(y,x,y \ 1) \ x) = T((1 / x) * (x / T(y,x)),y).
L((x * y) \ y,y,y \ 1) = T((1 / y) * (y / T(x,y)),x).
T((1 / x) * (x / T(y,x)),y) = L((y * x) \ x,x,x \ 1).
L((x * y) \ y,y,y \ 1) = (x * y) \ R(y,y,x \ 1).
R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)) = T(R(a(x,y,z) \ 1,u,u \ 1),(1 / u) / a(x,y,z)).
T(R(a(x,y,z) \ 1,u,u \ 1),(1 / u) / a(x,y,z)) = R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)).
T(R(a(x,y,z) \ 1,u,u \ 1),a(x,y,z) \ (1 / u)) = R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)).
R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)) = T(R(a(x,y,z) \ 1,u,u \ 1),a(x,y,z) \ (u \ 1)).
T(R(a(x,y,z) \ 1,u,u \ 1),a(x,y,z) \ (u \ 1)) = R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)).
R(T(a(x,y,z) \ 1,a(x,y,z) \ (u \ 1)),u,u \ 1) = R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)).
R(a(x,y,z) \ 1,u,u \ 1) = R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)).
R(a(x,y,z) \ 1,u,(1 / u) * (a(x,y,z) \ 1)) = R(a(x,y,z) \ 1,u,u \ 1).
R(a(x,y,z) \ 1,u,u \ 1) = R(a(x,y,z) \ 1,u,u \ (a(x,y,z) \ 1)).
R(a(x,y,z) \ 1,u,u \ (a(x,y,z) \ 1)) = R(a(x,y,z) \ 1,u,u \ 1).
R(a(x,y,z) \ 1,u,u \ 1) = u * ((a(x,y,z) * u) \ 1).
x \ L(x * ((a(y,z,u) * x) \ 1),a(y,z,u),x \ 1) = T(a(y,z,u) \ (1 / x),x).
x \ (x * ((x / (T(a(y,z,u),x) \ 1)) \ 1)) = T(a(y,z,u) \ (1 / x),x).
x \ (x * ((x / (a(y,z,u) \ 1)) \ 1)) = T(a(y,z,u) \ (1 / x),x).
x \ (x * (((a(y,z,u) \ 1) \ x) \ 1)) = T(a(y,z,u) \ (1 / x),x).
T(a(x,y,z) \ (1 / u),u) = ((a(x,y,z) \ 1) \ u) \ 1.
((a(x,y,z) \ 1) \ u) \ 1 = a(x,y,z) \ (u \ 1).
L((a(x,y,z) * u) \ 1,a(x,y,z),a(x,y,z)) = a(x,y,z) \ (u \ 1).
(x * R(y,z,u)) \ ((x * R(y,z,u)) * (y \ L(y,w,v5))) = L(y \ L(y,w,v5),x,R(y,z,u)).
L(x \ L(x,y,z),u,R(x,w,v5)) = x \ L(x,y,z).
L(x \ L(x,y,z),u,L(x,w,v5)) = x \ L(x,y,z).
(L(x,y,z) * u) / (x \ L(x,w,v5)) = L(x,y,z) * (u / (x \ L(x,w,v5))).
L(x,y,z) * (u / (x \ L(x,w,v5))) = (x \ L(x,w,v5)) \ (L(x,y,z) * u).
(x \ L(x,y,z)) \ (L(x,u,w) * v5) = L(x,u,w) * (v5 / (x \ L(x,y,z))).
(x \ L(x,y,z)) \ (L(x,u,w) * v5) = L(x,u,w) * ((x \ L(x,y,z)) \ v5).
x * R(T(y,(y \ L(y,z,u)) * x),y \ L(y,z,u),x) = L(y,z,u) * ((y \ L(y,z,u)) \ x).
x * R(T(y,L(y,z,u) * (y \ x)),y \ L(y,z,u),x) = L(y,z,u) * ((y \ L(y,z,u)) \ x).
x * R(T(y,y * (y \ x)),y \ L(y,z,u),x) = L(y,z,u) * ((y \ L(y,z,u)) \ x).
L(x,y,z) * ((x \ L(x,y,z)) \ u) = u * R(T(x,x * (x \ u)),x \ L(x,y,z),u).
L(x,y,z) * ((x \ L(x,y,z)) \ u) = u * R(T(x,u),x \ L(x,y,z),u).
L(x,y,z) * ((x \ L(x,y,z)) \ u) = R(x,x \ L(x,y,z),u) * u.
R(x,x \ L(x,y,z),u) * u = L(x,y,z) * ((x \ L(x,y,z)) \ u).
(x * R(y,z,u)) \ ((x * R(y,z,u)) * (L(y,w,v5) \ y)) = L(L(y,w,v5) \ y,x,R(y,z,u)).
L(L(x,y,z) \ x,u,R(x,w,v5)) = L(x,y,z) \ x.
L(L(x,y,z) \ x,u,L(x,w,v5)) = L(x,y,z) \ x.
L(a(x,y,z),u,L(R(x \ 1,w,v5),u,a(x,y,z))) = a(x,y,z).
a(x,y,z) = L(a(x,y,z),u,L(x \ 1,w,v5)).
L(a(x,y,z),u,L(x \ 1,w,v5)) = a(x,y,z).
a(x \ 1,y,z) = L(a(x \ 1,y,z),u,L(x,w,v5)).
L(a(x \ 1,y,z),u,L(x,w,v5)) = a(x \ 1,y,z).
(x * L(a(y,z,u) \ 1,x,a(y,w,v5))) \ ((x * (a(y,z,u) \ 1)) * a(y,w,v5)) = L(a(y,w,v5),x,a(y,z,u) \ 1).
L(1 / x,x,y \ 1) \ (1 * R(1 \ L(1 / x,x,y \ 1),z,u)) = R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y).
x / L(L(y,y \ 1,z),a(z,y,y \ 1) * K(y,u),y \ x) = (x / T(y,u)) * (T(y,u) / L(y,y \ 1,z)).
x / L(L(y,y \ 1,z),a(z,y,y \ 1),y \ x) = (x / T(y,u)) * (T(y,u) / L(y,y \ 1,z)).
x / L(L(y,y \ 1,z),a(y,y,z),y \ x) = (x / T(y,u)) * (T(y,u) / L(y,y \ 1,z)).
x / L(y,y \ 1,z) = (x / T(y,u)) * (T(y,u) / L(y,y \ 1,z)).
(x / T(y,z)) * (T(y,z) / L(y,y \ 1,u)) = x / L(y,y \ 1,u).
(x / T(y,z)) * (L(y,y \ 1,u) \ T(y,z)) = x / L(y,y \ 1,u).
(x / T(y,z)) * (a(u,y,y \ 1) * K(y,z)) = x / L(y,y \ 1,u).
x / L(y,y \ 1,z) = (x / y) * T(a(z,y,y \ 1),K(y,u)).
(x / y) * T(a(z,y,y \ 1),K(y,u)) = x / L(y,y \ 1,z).
x / L(y,y \ 1,z) = a(z,y,y \ 1) * (x / y).
a(x,y,y \ 1) * (z / y) = z / L(y,y \ 1,x).
(a(x,y,y \ 1) * z) / y = z / L(y,y \ 1,x).
(x / L(y,y \ 1,z)) * y = a(z,y,y \ 1) * x.
a(x,y,y \ 1) * z = y * (L(y,y \ 1,x) \ z).
x * (L(x,x \ 1,y) \ z) = a(y,x,x \ 1) * z.
(1 / x) * (L(1 / x,x,y) \ z) = a(y,1 / x,(1 / x) \ 1) * z.
a(x,1 / y,(1 / y) \ 1) * z = (1 / y) * (L(1 / y,y,x) \ z).
a(x,y,y \ 1) * (y \ z) = L(y,y \ 1,x) \ z.
L(x,x \ 1,y) \ z = (x \ z) * a(y,x,x \ 1).
(x \ y) * a(z,x,x \ 1) = L(x,x \ 1,z) \ y.
(x \ y) * a(z \ 1,x,x \ 1) = (a(z,x,x \ 1) * x) \ y.
(a(x,y,y \ 1) * y) \ z = a(x,y,y \ 1) \ (y \ z).
(a(x,y,y \ 1) * y) \ z = y \ (a(x,y,y \ 1) \ z).
(1 / L(1 / x,x,y)) \ z = x \ (a(x \ y,x,x \ 1) \ z).
x \ (a(x \ y,x,x \ 1) \ z) = (1 / L(1 / x,x,y)) \ z.
a(x,1 / y,(1 / y) \ 1) * z = (y \ 1) * (L(y \ 1,y,x) \ z).
a(x,1 / y,y) * z = (y \ 1) * (L(y \ 1,y,x) \ z).
(x \ 1) * (L(x \ 1,x,y) \ z) = a(y,1 / x,x) * z.
(x \ 1) * (L(x \ 1,x,y) \ z) = a(y,x \ 1,x) * z.
(x \ 1) * (L(x \ 1,x,y) \ z) = a(y,x,x \ 1) * z.
(x \ 1) * y = a(z,x,x \ 1) * (((z * x) \ z) * y).
a(x,y,y \ 1) * (((x * y) \ x) * z) = (y \ 1) * z.
x * ((x \ 1) * y) = L(y,z \ (x \ z),x).
L(x,y \ (z \ y),z) = z * ((z \ 1) * x).
L(x,y \ (z \ y),z) = L(x,z \ 1,z).
L(x,L(y \ 1,y,z),y) = L(x,y \ 1,y).
L(x,y,L((T(z \ u,w) / u) \ v5,z \ 1,z)) = L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)).
L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)) = L(x,y,L((T(z \ u,w) / u) \ v5,z \ 1,z)).
a(x,x \ 1,y) \ y = L(y,L(x \ 1,x,z),x).
L(x,L(y \ 1,y,z),y) = a(y,y \ 1,x) \ x.
L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)) = L(x,y,L((T(z \ u,w) / u) \ v5,z,z \ 1)).
L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)) = L(x,y,L((u \ T(z \ u,w)) \ v5,z,z \ 1)).
L(x,y,(((1 / z) * u) \ T(z \ u,w)) \ (v5 * z)) = L(x,y,L((u \ (z \ u)) \ v5,z,z \ 1)).
L(x,y,((T(z \ u,w) / u) * z) \ (v5 * z)) = L(x,y,L((u \ (z \ u)) \ v5,z,z \ 1)).
L(x,y,L((z \ (u \ z)) \ w,u,u \ 1)) = L(x,y,((z \ T(u \ z,v5)) * u) \ (w * u)).
L(x,y,((z \ T(u \ z,w)) * u) \ (v5 * u)) = L(x,y,L((z \ (u \ z)) \ v5,u,u \ 1)).
L(x,y,L((z \ (u \ z)) \ w,u,u \ 1)) = L(x,y,(u * (z \ (u \ z))) \ (w * u)).
L(x,y,L((z \ (u \ z)) \ w,u,u \ 1)) = L(x,y,a(u,u,z) * (w * u)).
L(x,y,L((z \ (u \ z)) \ w,u,u \ 1)) = L(x,y,w * R(u,u,z)).
L(x,y,z * L(u,u,w)) = L(x,y,L((w \ (u \ w)) \ z,u,u \ 1)).
L(x,y,L((z \ (u \ z)) \ w,u,u \ 1)) = L(x,y,w * L(u,u,z)).
x * (T((y \ L(y,z,u)) \ w,x * (y \ L(y,z,u))) \ w) = T(x * (y \ L(y,z,u)),T((y \ L(y,z,u)) \ w,w)).
x \ (a(y,z,z) \ ((x / y) * R(y,z,z))) = a(a(y,z,z),T(T(y,u),w),T(T(y,u),w) \ x).
a(a(x,y,y),T(T(x,z),u),T(T(x,z),u) \ w) = w \ (a(x,y,y) \ ((w / x) * R(x,y,y))).
x \ (a(y,z,z) \ ((x / y) * R(y,z,z))) = a(a(y,z,z),T(T(y,u),w),T(y,u) \ x).
a(a(x,y,y),T(T(x,z),u),T(x,z) \ w) = w \ (a(x,y,y) \ ((w / x) * R(x,y,y))).
x \ (a(y,z,z) \ ((x / y) * R(y,z,z))) = a(a(y,z,z),T(T(y,u),w),y \ x).
a(a(x,y,y),T(T(x,z),u),x \ w) = w \ (a(x,y,y) \ ((w / x) * R(x,y,y))).
a(a(x,y,y),x,x \ z) = z \ (a(x,y,y) \ ((z / x) * R(x,y,y))).
x \ (a(y,z,z) \ ((x / y) * R(y,z,z))) = a(a(y,z,z),y,y \ x).
x \ (a(y,z,z) \ ((x / y) * R(y,z,z))) = a(y,a(y,z,z),y \ x).
x \ (a(y,z,z) \ ((x / y) * R(y,z,z))) = a(y,a(y,z,z),x).
x \ (a(y,y,z) * ((x / z) * L(z,y,y))) = a(z,a(z,y,y),x).
R(((x \ y) * x) / (x \ y),x,z) * ((x \ y) / ((x \ y) * R(x,x,z))) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
L(a(x,y,y) \ (x \ z),z \ (x \ z),a(z \ (x \ z),y,y)) = (z * (z \ (x \ z))) * a(z \ (x \ z),y,y).
L(x \ (a(x,y,y) \ z),z \ (x \ z),a(z \ (x \ z),y,y)) = (z * (z \ (x \ z))) * a(z \ (x \ z),y,y).
L(x,L(x,y,z),u) \ R(L(x,L(x,y,z),u),L(x,x,L(u,y,z)),w) = a(L(x,x,L(u,y,z)),L(x,L(x,y,z),u),w).
R(x \ 1,y,z) * K(x \ 1,x) = (L(x,u,w) * R(x,y,z)) \ L(x,u,w).
(L(x,y,z) * R(x,u,w)) \ L(x,y,z) = R(x \ 1,u,w) * K(x \ 1,x).
R((x \ 1) * K(x \ 1,x),y,z) = (L(x,u,w) * R(x,y,z)) \ L(x,u,w).
(L(x,y,z) * R(x,u,w)) \ L(x,y,z) = R((x \ 1) * K(x \ 1,x),u,w).
(L(x,y,z) * R(x,u,w)) \ L(x,y,z) = R(T(x \ 1,x),u,w).
(R(x,y,z) * L(x,u,w)) \ L(x,u,w) = R(T(x \ 1,x),y,z).
(x * (a(y,z,u) \ 1)) \ ((x * (a(y,z,u) \ 1)) * a(y,w,v5)) = L(a(y,w,v5),x,a(y,z,u) \ 1).
L(a(x,y,z),u,a(x,w,v5) \ 1) = a(x,y,z).
L(1 / x,x,y \ 1) \ (1 * R(L(1 / x,x,y \ 1),z,u)) = R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y).
L(1 / x,x,y \ 1) \ (1 * L(R(1 / x,z,u),x,y \ 1)) = R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y).
L(1 / x,x,y \ 1) \ L(R(1 / x,z,u),x,y \ 1) = R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y).
R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y) = L(R(1 / x,z,u) \ (1 / x),x,y \ 1) \ 1.
R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y) = L(x \ (1 * R(1 \ x,z,u)),x,y \ 1) \ 1.
R(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y) = R(R(x,z,u) \ x,x,y \ 1).
L(R(x,y,z),x \ 1,u) \ L(x,x \ 1,u) = R(R(x,y,z) \ x,x,u \ 1).
R(R(x,y,z) \ x,x,u \ 1) = L(R(x,y,z) \ x,x \ 1,u).
L(R(x,y,z) \ x,x \ 1,u) = R(R(x,y,z) \ x,x,u \ 1).
L(R(x,x,y) \ x,x \ 1,z) = a(x \ 1,x,y).
L(R(x,y,z) \ x,x,u \ 1) = L(R(x,y,z) \ x,x \ 1,u).
L(R(x,y,z) \ x,x \ 1,u) = L(R(x,y,z) \ x,x,u \ 1).
a(x \ 1,x,L(y,z,u)) = a(x \ 1,L(x,z,u),y).
a(x \ 1,L(x,y,z),u) = a(x \ 1,x,L(u,y,z)).
L(R(x,y,z) \ x,x,u \ 1) \ 1 = R(x \ R(x,y,z),x \ 1,u).
R(x \ R(x,y,z),x \ 1,u) = L(x \ R(x,y,z),x,u \ 1).
L(x \ R(x,y,z),x,u \ 1) = R(x \ R(x,y,z),x \ 1,u).
L(x \ R(x,y,z),x,(z * y) \ 1) = a(x \ 1,y,z) \ 1.
a(x \ 1,x,a(y \ 1,z,u) \ 1) = L(a(x \ 1,x,y \ R(y,z,u)),y,(u * z) \ 1).
L(a(x \ 1,x,y \ R(y,z,u)),y,(u * z) \ 1) = a(x \ 1,x,a(y \ 1,z,u) \ 1).
x * (T((y \ L(y,z,u)) \ w,x) \ w) = T(x * (y \ L(y,z,u)),T((y \ L(y,z,u)) \ w,w)).
T(x * (y \ L(y,z,u)),T((y \ L(y,z,u)) \ w,w)) = x * (T((y \ L(y,z,u)) \ w,x) \ w).
T(x * (y \ L(y,z,u)),T((y \ L(y,z,u)) \ w,w)) = x * (L(y,z,u) * (y \ K(x,w))).
T(x * (y \ L(y,z,u)),T((y \ L(y,z,u)) \ w,w)) = T(x,w) * (y \ L(y,z,u)).
T(x * (y \ L(y,z,u)),(y \ L(y,z,u)) \ w) = T(x,w) * (y \ L(y,z,u)).
T(x,y) * (z \ L(z,u,w)) = T(x * (z \ L(z,u,w)),(L(z,u,w) \ z) * y).
T(x * (y \ L(y,z,u)),(L(y,z,u) \ y) * w) = T(x,w) * (y \ L(y,z,u)).
T(x,y) * (z \ L(z,u,w)) = T(x * (z \ L(z,u,w)),y).
T(x * (y \ L(y,z,u)),w) = T(x,w) * (y \ L(y,z,u)).
(x \ L(x,y,z)) * T(u,w) = T(u * (x \ L(x,y,z)),w).
T(x * (y \ L(y,z,u)),w) = (y \ L(y,z,u)) * T(x,w).
(x * y) / T(x * (z \ L(z,u,w)),y) = (y * x) / ((z \ L(z,u,w)) * x).
(x * y) \ (y * T(x * (z \ L(z,u,w)),y)) = L(T(z \ L(z,u,w),T(x,y)),x,y).
(x * y) / ((z \ L(z,u,w)) * y) = ((z \ L(z,u,w)) * y) \ (y * x).
((x \ L(x,y,z)) * u) \ (u * ((x \ L(x,y,z)) * w)) = R(w,x \ L(x,y,z),u).
R(x,y \ L(y,z,u),w) = L(K(w,y \ L(y,z,u)) * x,y \ L(y,z,u),w).
L(K(x,y \ L(y,z,u)) * w,y \ L(y,z,u),x) = R(w,y \ L(y,z,u),x).
L(x,y \ L(y,z,u),w) = R(x,y \ L(y,z,u),w).
L(x,x \ L(x,y,z),u) * u = L(x,y,z) * ((x \ L(x,y,z)) \ u).
(x * y) \ ((x * (z \ L(z,u,w))) * y) = L(T(z \ L(z,u,w),T(x,y)),x,y).
L(T(x \ L(x,y,z),T(u,w)),u,w) = R(x \ L(x,y,z),u,w).
L(x \ L(x,y,z),u,w) = R(x \ L(x,y,z),u,w).
R((x \ L(x,y,z)) \ 1,u,w) = L(x \ L(x,y,z),u,w) \ 1.
L((1 / x) \ L(1 / x,y,z),u,w) = R(x * L(x \ 1,y,z),u,w).
L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x) = x * (L(x,y,z) \ R(x \ L(x,y,z),u,w)).
L(x \ L(x,y,y),z,u) = x \ L(x,y,L(y,z,u)).
R(L(x,y,z) \ x,u,w) = L(x \ L(x,y,z),u,w) \ 1.
L(x \ L(x,y,z),u,w) \ 1 = R(L(x,y,z) \ x,u,w).
L(x * L(x \ 1,y,z),u,w) = R(x * L(x \ 1,y,z),u,w).
L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)).
R(x * K(x \ y,x),x,z) * ((x \ y) / ((x \ y) * R(x,x,z))) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x * K(x \ y,x),x,z) * R((x \ y) / ((x \ y) * x),x,z) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x * K(x \ y,x),x,z) * R((y / x) / y,x,z) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = R((x * K(x \ z,x)) * ((z / x) / z),x,y).
R((x * K(x \ y,x)) * ((y / x) / y),x,z) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x * (K(x \ y,x) * ((y / x) / y)),x,z) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x * ((((x \ y) * x) / x) / y),x,z) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = R(x * ((((x \ z) * x) / x) / z),x,y).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = R(x * ((x \ z) / z),x,y).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = R(a(x,x \ 1,z),x,y).
a(x,x \ 1,L(y,x,z)) = R(x,x,z) * ((x \ y) / (a(x,x,z) * y)).
R(x,x,y) * ((x \ z) / (a(x,x,y) * z)) = a(x,x \ 1,L(z,x,y)).
a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,y).
a(x,x \ 1,y) * z = R(x,x \ 1,y) * (x \ z).
R(x,x \ 1,y) * (x \ z) = a(x,x \ 1,y) * z.
a(x,x \ 1,y) * z = (z / x) * (y / ((x \ 1) * y)).
(x / y) * (z / ((y \ 1) * z)) = a(y,y \ 1,z) * x.
a(x,y,T(z / u,w) * (v5 / ((u \ 1) * v5))) = a(x,y,a(u,u \ 1,v5) * z).
a(x,y,a(z,z \ 1,u) * w) = a(x,y,T(w / z,v5) * (((z \ 1) * u) \ u)).
a(x,y,T(z / u,w) * (((u \ 1) * v5) \ v5)) = a(x,y,a(u,u \ 1,v5) * z).
a(x,y,a(z,z \ 1,u) * w) = a(x,y,T(w / z,v5) * (u \ ((z \ 1) \ u))).
a(x,y,T(z / u,w) * (v5 \ ((u \ 1) \ v5))) = a(x,y,a(u,u \ 1,v5) * z).
a(x,y,(z \ u) * (w \ ((z \ 1) \ w))) = a(x,y,a(z,z \ 1,w) * u).
a(x,y,(z \ u) * (w \ ((z \ 1) \ w))) = a(x,y,a(z,z,w) \ u).
a(x,y,(z \ u) * (w \ ((z \ 1) \ w))) = a(x,y,a(w,z,z) * u).
L(x,L(x,y,z),u) \ L(R(x,L(x,x,L(u,y,z)),w),L(x,y,z),u) = a(L(x,x,L(u,y,z)),L(x,L(x,y,z),u),w).
L(x,L(x,y,z),u) \ L(R(x,x,w),L(x,y,z),u) = a(L(x,x,L(u,y,z)),L(x,L(x,y,z),u),w).
a(L(x,x,L(y,z,u)),L(x,L(x,z,u),y),w) = L(R(x,x,w) \ x,L(x,z,u),y) \ 1.
a(L(x,x,L(y,z,u)),L(x,L(x,z,u),y),w) = 1 * a(x,x,L(w,L(x,z,u),y)).
a(x,x,L(y,L(x,z,u),w)) = a(L(x,x,L(w,z,u)),L(x,L(x,z,u),w),y).
a(L(x,x,L(y,z,u)),L(x,L(x,z,u),y),w) = a(x,x,L(w,L(x,z,u),y)).
a(x,x,L(y,L(x,z,u),w)) = a(L(x,x,L(w,z,u)),L(x,x,L(w,z,u)),y).
a(L(x,x,L(y,z,u)),L(x,x,L(y,z,u)),w) = a(x,x,L(w,L(x,z,u),y)).
a(x,x,L(y,L(x,z,u),w)) = a(x,x,y).
a(x,x,L(y,z,u)) = a(R(x,z,u),L(x,x,w),y).
a(R(x,y,z),L(x,x,u),w) = a(x,x,L(w,y,z)).
a(L(x,y,z),L(x,x,u),w) = a(x,x,L(w,y,z)).
a(x,x,L(y,z,u)) = a(L(x,z,u),w \ ((x \ 1) \ w),y).
a(L(x,y,z),u \ ((x \ 1) \ u),w) = a(x,x,L(w,y,z)).
a(L(x,y,y \ 1),z \ ((x \ 1) \ z),u) = a(x,x,L(u,y,y)).
((x \ 1) * y) \ ((x \ y) * R((x \ y) \ ((x \ 1) * y),z,u)) = a(x,x \ 1,L(y,z,u)) \ (((x \ 1) * y) \ (x \ y)).
R(x,y / (x \ 1),(y / (x \ 1)) \ ((1 / x) \ 1)) = (y / (x \ 1)) * (((x \ 1) * (y / T(x \ 1,x))) \ 1).
(x / (y \ 1)) * (((y \ 1) * (x / T(y \ 1,y))) \ 1) = R(y,x / (y \ 1),(x / (y \ 1)) \ ((1 / y) \ 1)).
(x / (y \ 1)) * (((y \ 1) * (x / T(y \ 1,y))) \ 1) = R(y,x / (y \ 1),(x / (y \ 1)) \ y).
(x / (y \ 1)) * (((y \ 1) * (x / T(y \ 1,y))) \ 1) = R(y,x / (y \ 1),((y \ 1) \ x) \ y).
(x / (y \ 1)) * (((y \ 1) * (x / T(y \ 1,y))) \ 1) = R(y,(y \ 1) \ x,((y \ 1) \ x) \ y).
(x / (y \ 1)) * (((y \ 1) * (x / T(y \ 1,y))) \ 1) = R(y,y * x,y \ (x \ y)).
(x / (y \ 1)) * (((1 / y) * (x / (y \ 1))) \ 1) = R(y,y * x,y \ (x \ y)).
R(x,x * y,x \ (y \ x)) = (y / (x \ 1)) * (((1 / x) * (y / (x \ 1))) \ 1).
R(x,x * y,x \ (y \ x)) = ((x \ 1) \ y) * (((1 / x) * ((x \ 1) \ y)) \ 1).
R(x,x * y,x \ (y \ x)) = ((x \ 1) \ y) * ((K(x,x \ 1) * y) \ 1).
R(x,x * y,x \ (y \ x)) = ((x \ 1) \ y) * (y \ (K(x \ 1,x) * 1)).
R(x,x * y,x \ (y \ x)) = ((x \ 1) \ y) * (y \ K(x \ 1,x)).
R(x,x * y,x \ (y \ x)) = ((1 / x) \ y) * (y \ 1).
x \ a((y * (z / (y * z))) \ x,z \ L(z,y,y),x \ 1) = (y * (z / (y * z))) \ (((y * (z / (y * z))) \ x) \ 1).
x \ a((y * ((y * z) \ z)) \ x,z \ L(z,y,y),x \ 1) = (y * (z / (y * z))) \ (((y * (z / (y * z))) \ x) \ 1).
x \ a((y * (z \ (y \ z))) \ x,z \ L(z,y,y),x \ 1) = (y * (z / (y * z))) \ (((y * (z / (y * z))) \ x) \ 1).
x \ a(a(y,y,z) * x,z \ L(z,y,y),x \ 1) = (y * (z / (y * z))) \ (((y * (z / (y * z))) \ x) \ 1).
(x * (y / (x * y))) \ (((x * (y / (x * y))) \ z) \ 1) = z \ a(a(x,x,y) * z,y \ L(y,x,x),z \ 1).
(x * (y / (x * y))) \ (((x * (y / (x * y))) \ z) \ 1) = z \ 1.
(x \ 1) * (y * (z / (y * z))) = ((y * (z / (y * z))) \ x) \ 1.
((x * (y / (x * y))) \ z) \ 1 = (z \ 1) * (x * (y / (x * y))).
L(x,(y * ((z * y) \ z)) * L(u,y * ((z * y) \ z),z \ L(z,y,y)),w) = L(x,((y * ((z * y) \ z)) \ 1) \ u,w).
L(x,(y * ((z * y) \ z)) * L(u,y * (z \ (y \ z)),z \ L(z,y,y)),w) = L(x,((y * ((z * y) \ z)) \ 1) \ u,w).
L(x,(y * ((z * y) \ z)) * L(u,z \ L(z,y,y),z \ L(z,y,y)),w) = L(x,((y * ((z * y) \ z)) \ 1) \ u,w).
L(x,(y * ((z * y) \ z)) * L(u,a(y,y,z),a(y,y,z)),w) = L(x,((y * ((z * y) \ z)) \ 1) \ u,w).
L(x,((y * ((z * y) \ z)) \ 1) \ u,w) = L(x,(z \ L(z,y,y)) * L(u,a(y,y,z),a(y,y,z)),w).
L(x,(y \ L(y,z,z)) * L(u,a(z,z,y),a(z,z,y)),w) = L(x,((z * ((y * z) \ y)) \ 1) \ u,w).
L(x,a(y,y,z) \ u,w) = L(x,((y * ((z * y) \ z)) \ 1) \ u,w).
L(x,((y * ((z * y) \ z)) \ 1) \ u,w) = L(x,a(y,y,z) \ u,w).
L(x,a(y,z,z \ 1) \ u,w) = L(x,a(z,z,y) \ u,w).
L(x,(y * L(y \ 1,y,z)) \ u,w) = L(x,a(y,y,z \ 1) \ u,w).
L(x,a(y,y,z \ 1) \ u,w) = L(x,(z \ L(z,y,y)) \ u,w).
L(x,((y \ 1) \ z) * L(y \ 1,y,u),w) = L(x,a(y,y,u) \ z,w).
L(x,a(y,y,z \ 1) \ u,w) = L(x,a(y,y,z) * u,w).
L(x,a(y,y,z) * u,w) = L(x,a(z \ 1,y,y) * u,w).
L(x,a(y \ 1,z,z) * u,w) = L(x,a(z,z,y) * u,w).
L(x,a(y,z,z) \ u,w) = L(x,a(z,z,y) * u,w).
L(x,(y * L(y \ 1,y,z)) \ u,w) = L(x,a(y,y,z) * u,w).
L(x,a(y,z,z \ 1) * u,w) = L(x,a(z,z,y) * u,w).
L(x,y * a(z,u,u \ 1),w) = L(x,a(u,u,z) * y,w).
L(x,a(y,y,L(z,u,w)) * (T(u,v5) * w),v6) = L(x,T(a(z,y,y \ 1) * u,v5) * w,v6).
L(x,T(a(y,y,z) * u,w) * v5,v6) = L(x,T(a(z,y,y \ 1) * u,w) * v5,v6).
L(x,T(a(y,z,z \ 1) * u,w) * v5,v6) = L(x,T(a(z,z,y) * u,w) * v5,v6).
L(x,T(a(y,z,z \ 1) * u,w) * v5,v6) = L(x,(a(z,z,y) * u) * v5,v6).
L(x,(a(y,z,z \ 1) * u) * w,v5) = L(x,(a(z,z,y) * u) * w,v5).
L(x,(a(y,y,z) * u) * w,v5) = L(x,w * (a(z,y,y \ 1) * u),v5).
L(x,y * (a(z,u,u \ 1) * w),v5) = L(x,(a(u,u,z) * w) * y,v5).
a(x,(y * ((z * y) \ z)) * L(u,y * ((z * y) \ z),z \ L(z,y,y)),w) = a(x,((y * ((z * y) \ z)) \ 1) \ u,w).
a(x,(y * ((z * y) \ z)) * L(u,y * (z \ (y \ z)),z \ L(z,y,y)),w) = a(x,((y * ((z * y) \ z)) \ 1) \ u,w).
a(x,(y * ((z * y) \ z)) * L(u,z \ L(z,y,y),z \ L(z,y,y)),w) = a(x,((y * ((z * y) \ z)) \ 1) \ u,w).
a(x,(y * ((z * y) \ z)) * L(u,a(y,y,z),a(y,y,z)),w) = a(x,((y * ((z * y) \ z)) \ 1) \ u,w).
a(x,((y * ((z * y) \ z)) \ 1) \ u,w) = a(x,(z \ L(z,y,y)) * L(u,a(y,y,z),a(y,y,z)),w).
a(x,(y \ L(y,z,z)) * L(u,a(z,z,y),a(z,z,y)),w) = a(x,((z * ((y * z) \ y)) \ 1) \ u,w).
a(x,a(y,y,z) \ u,w) = a(x,((y * ((z * y) \ z)) \ 1) \ u,w).
a(x,((y * ((z * y) \ z)) \ 1) \ u,w) = a(x,a(y,y,z) \ u,w).
a(x,a(y,z,z \ 1) \ u,w) = a(x,a(z,z,y) \ u,w).
a(x,((y \ 1) \ z) * L(y \ 1,y,u),w) = a(x,a(y,y,u) \ z,w).
a(x,((y \ 1) \ z) * L(y \ 1,y,u),w) = a(x,a(u,y,y) * z,w).
L(x,y,R(z,u * ((w * u) \ w),w \ L(w,u,u)) * (u * ((w * u) \ w))) = L(x,y,((u * ((w * u) \ w)) \ 1) \ z).
L(x,y,R(z,u * (w \ (u \ w)),w \ L(w,u,u)) * (u * ((w * u) \ w))) = L(x,y,((u * ((w * u) \ w)) \ 1) \ z).
L(x,y,R(z,u \ L(u,w,w),u \ L(u,w,w)) * (w * ((u * w) \ u))) = L(x,y,((w * ((u * w) \ u)) \ 1) \ z).
L(x,y,((z * ((u * z) \ u)) \ 1) \ w) = L(x,y,R(w,u \ L(u,z,z),u \ L(u,z,z)) * (z * (u \ (u / z)))).
L(x,y,R(z,u \ L(u,w,w),u \ L(u,w,w)) * (w * (u \ (u / w)))) = L(x,y,((w * ((u * w) \ u)) \ 1) \ z).
L(x,y,((z * ((u * z) \ u)) \ 1) \ w) = L(x,y,R(w,u \ L(u,z,z),u \ L(u,z,z)) * (u \ L(u,z,z))).
L(x,y,R(z,u \ L(u,w,w),u \ L(u,w,w)) * (u \ L(u,w,w))) = L(x,y,((w * ((u * w) \ u)) \ 1) \ z).
L(x,y,((z * ((u * z) \ u)) \ 1) \ w) = L(x,y,((u \ L(u,z,z)) \ 1) \ w).
L(x,y,((z * ((u * z) \ u)) \ 1) \ w) = L(x,y,(L(u,z,z) \ u) \ w).
L(x,y,((z * ((u * z) \ u)) \ 1) \ w) = L(x,y,a(z,z,u) \ w).
L(x,y,a(z,u,u \ 1) \ w) = L(x,y,a(u,u,z) \ w).
L(x,y,(z * L(z \ 1,z,u)) \ w) = L(x,y,a(z,z,u \ 1) \ w).
L(x,y,a(z,z,u \ 1) \ w) = L(x,y,(u \ L(u,z,z)) \ w).
L(x,y,a(z,z,u \ 1) \ w) = L(x,y,a(z,z,u) * w).
L(x,y,a(z,z,u) \ w) = L(x,y,a(z,z,u \ 1) * w).
L(x,y,a(z,z,u \ 1) * w) = L(x,y,a(z,z,u) \ w).
L(x,y,a(z,z,u) \ w) = L(x,y,w * a(z,z,u \ 1)).
L(x,y,z * a(u,u,w \ 1)) = L(x,y,a(u,u,w) \ z).
L(x,y,a(z,z,u) \ w) = L(x,y,a(u,z,z) * w).
L(x,y,a(z,z,u) \ (w \ v5)) = L(x,y,T(a(u,z,z) * (v5 / w),w)).
L(x,y,T(a(z,u,u) * (w / v5),v5)) = L(x,y,a(u,u,z) \ (v5 \ w)).
L(x,y,a(z,z,u) \ ((w * v5) * a(a(u,z,z),w,v5))) = L(x,y,(a(u,z,z) * w) * v5).
L(x,y,a(z,z,u) \ z) = L(x,y,L(z,z,u \ 1)).
L(x,y,L(z,z,u \ 1)) = L(x,y,a(z,z,u) \ z).
L(x,y,L(z,z,u \ z)) = L(x,y,a(z,z,u) \ z).
L(x,y,L(z,z \ 1,u)) = L(x,y,L(z,z,u \ 1)).
x \ L(x,x,L(y,y,z \ y)) = a(y \ a(y,y,z),x,x).
L(x,y,L(z \ ((u \ 1) \ z),w,u)) = L(x,y,L(u,u,z \ 1)).
a(L(x \ 1,x,y \ x),z,z) = a(x \ a(x,x,y),z,z).
L(x,y,(z * L(z \ 1,z,u)) \ w) = L(x,y,a(z,z,u) * w).
L(x,y,a(z,u,u \ 1) * w) = L(x,y,a(u,u,z) * w).
L(x,y,(a(z,u,u \ 1) * w) * v5) = L(x,y,a(u,u,z) * ((w * v5) * a(a(z,u,u \ 1),w,v5))).
L(x,y,a(z,z,u) * ((w * v5) * a(a(u,z,z \ 1),w,v5))) = L(x,y,(a(u,z,z \ 1) * w) * v5).
L(x,y,T(a(z,u,u) * (w / u),u)) = L(x,y,R(u,u,z) \ w).
L(x,y,T(z / L(u,u,w),u)) = L(x,y,R(u,u,w) \ z).
L(x,y,L(z,z,u) \ w) = L(x,y,R(z,z,u) \ w).
L(x,y,(a(z,z,u) \ w) * v5) = L(x,y,(a(u,z,z) * w) * v5).
L(x,y,(a(z,z,u) \ w) * v5) = L(x,y,v5 * (a(u,z,z) * w)).
L(x,y,z * (a(u,u,w) \ v5)) = L(x,y,(a(w,u,u) * v5) * T(z,v5)).
L(x,y,(a(z,u,u) * w) * T(v5,w)) = L(x,y,v5 * (a(u,u,z) \ w)).
L(x,y,z * (a(u,u,w) \ K(v5,v6))) = L(x,y,K(v5,v6) * (a(w,u,u) * z)).
L(x,y,K(z,u) * (a(w,v5,v5) * v6)) = L(x,y,v6 * (a(v5,v5,w) \ K(z,u))).
L(x,y,z * (u * a(w,v5,v5))) = L(x,y,z * (a(v5,v5,w) \ u)).
L(x,y,z * (a(u,u,w) \ v5)) = L(x,y,z * (v5 * a(w,u,u))).
L(x,y,z * (a(u,u,w) \ (u \ v5))) = L(x,y,z * (L(u,u,w) \ v5)).
L(x,y,z * (R(u,u,w) \ v5)) = L(x,y,z * (L(u,u,w) \ v5)).
L(x,y,z * (L(u,u,w) \ v5)) = L(x,y,z * (R(u,u,w) \ v5)).
L(x,y,K(z,u) * (a(w,v5,v5) * a(v6,v5,v5))) = L(x,y,v5 * (L(R(v5,v5,w),v5,v6) \ K(z,u))).
L(x,y,K(z,u) * (a(w,v5,v5) * a(v6,v5,v5))) = L(x,y,v5 * R(L(v5,v5,v6) \ K(z,u),v5,w)).
L(x,y,z * L(L(z,z,u) \ K(w,v5),z,v6)) = L(x,y,K(w,v5) * (a(v6,z,z) * a(u,z,z))).
L(x,y,K(z,u) * (a(w,v5,v5) * a(v6,v5,v5))) = L(x,y,v5 * L(L(v5,v5,v6) \ K(z,u),v5,w)).
L(x,y,K(z,u) * (a(w,v5,v5) * a(v6,v5,v5))) = L(x,y,v5 * L(L(v5,v5,v6) \ 1,v5,w)).
L(x,y,K(z,u) * (a(w,v5,v5) * a(w,v5,v5))) = L(x,y,v5 * ((w * v5) \ R(w,v5,v5))).
L(x,y,z * ((u * z) \ L(u,z,z))) = L(x,y,K(w,v5) * (a(u,z,z) * a(u,z,z))).
L(x,y,K(z,u) * (a(w,v5,v5) * a(w,v5,v5))) = L(x,y,v5 * ((w * v5) \ L(w,v5,v5))).
L(x,y,K(z,u) * a(w * w,v5,v5)) = L(x,y,v5 * ((w * v5) \ L(w,v5,v5))).
L(x,y,z * ((u * z) \ L(u,z,z))) = L(x,y,a(u * u,z,z)).
L(x,y,a(z,z,u) * ((w * v5) * a(a(z,z,u),w,v5))) = L(x,y,(a(u,z,z \ 1) * w) * v5).
L(x,y,(a(z,z,u) * w) * v5) = L(x,y,(a(u,z,z \ 1) * w) * v5).
L(x,y,(a(z,u,u \ 1) * w) * v5) = L(x,y,(a(u,u,z) * w) * v5).
L(x,y,z * (a(u,w,w \ 1) * v5)) = L(x,y,(a(w,w,u) * v5) * T(z,v5)).
L(x,y,(a(z,z,u) * w) * T(v5,w)) = L(x,y,v5 * (a(u,z,z \ 1) * w)).
L(x,y,z * (a(u,u,w) * v5)) = L(x,y,z * (a(w,u,u \ 1) * v5)).
L(x,y,z * (a(u,w,w \ 1) * v5)) = L(x,y,z * (a(w,w,u) * v5)).
a(x,y,z \ L(z,u \ K(z,z * u),u \ K(z,z * u))) = a(x,y,(u \ K(z,u * z)) * (z \ T((u \ 1) \ z,z))).
(x * (y / (x * y))) / R(y,y \ L(y,x,x),y) = ((x * (y / (x * y))) / (x \ ((x \ 1) \ y))) * (x * (y / (x * y))).
(x * (y / (x * y))) / y = ((x * (y / (x * y))) / (x \ ((x \ 1) \ y))) * (x * (y / (x * y))).
((x * (y / (x * y))) / (x \ ((x \ 1) \ y))) * (x * (y / (x * y))) = (x * (y / (x * y))) / y.
(1 / x) * (y * (x / (y * x))) = (y * (x / (y * x))) / x.
((x * (y / (x * y))) / y) * y = (x \ ((x \ 1) \ y)) * (y \ 1).
(x \ ((x \ 1) \ y)) * (y \ 1) = ((x * (y / (x * y))) / y) * y.
(x \ ((x \ 1) \ y)) * (y \ 1) = x * (y / (x * y)).
T(x * (y / (x * y)),y) = R(x * (y / (x * y)),y,y \ 1).
R(x * (y / (x * y)),y,y \ 1) = T(x * (y / (x * y)),y).
R(x * (y / (x * y)),y,y \ 1) = x * (y / (x * y)).
((x * (y / (x * y))) \ y) / y = ((x \ 1) * (x * y)) * (y \ 1).
((x \ 1) * (x * y)) / y = ((x \ 1) * (x * y)) * (y \ 1).
((x \ 1) * (x * y)) * (y \ 1) = ((x \ 1) * (x * y)) / y.
((x \ 1) * (x * y)) * (y \ 1) = y \ ((x \ 1) * (x * y)).
a((x * y) \ x,(x * y) \ x,L(z,(x * y) \ x,x)) = x \ (R((x * y) \ x,x \ (y \ x),z) * T(x * y,y \ 1)).
((x * T(y,z)) \ u) \ y = L(1 / (1 / (((x * y) \ u) \ T(y,z))),y \ ((x * T(y,z)) \ u),y \ ((x * y) \ u)).
L(1 / (1 / (((x * y) \ z) \ T(y,u))),y \ ((x * T(y,u)) \ z),y \ ((x * y) \ z)) = ((x * T(y,u)) \ z) \ y.
((x * T(y,z)) \ u) \ y = L(1 / (1 / (((x * y) \ u) \ T(y,z))),y \ ((x * y) \ u),y \ ((x * y) \ u)).
L(1 / (1 / (((x * y) \ z) \ T(y,u))),y \ ((x * y) \ z),y \ ((x * y) \ z)) = ((x * T(y,u)) \ z) \ y.
((x * T(y,z)) \ u) \ y = ((x * y) \ u) \ T(y,z).
((x * y) \ (x \ T(x * y,y))) \ y = ((x * y) \ y) \ T(y,x * y).
((x * y) \ R(x,y,x)) \ x = ((y * x) \ x) \ T(x,y * x).
((x * y) \ y) \ T(y,x * y) = ((y * x) \ R(y,x,y)) \ y.
((x * y) \ y) \ T(y,x * y) = ((y * x) \ y) \ L(y,x,y).
((x * y) \ x) \ L(x,y,x) = ((1 / x) * (y \ 1)) \ 1.
L(x,x \ (y \ y),y) \ L(y,(y \ y) / x,y) = ((1 / y) * (((y \ y) / x) \ 1)) \ 1.
a(L(L(x,y,x) \ (((1 / x) * (y \ 1)) \ 1),L(x,y,x),L(x,y,x)),z,u) = a(((L(x,y,x) \ 1) \ ((x * y) \ x)) \ L(x,y,x),z,u).
L(x,x \ 1,y) \ L(y,(y \ y) / x,y) = ((1 / y) * (((y \ y) / x) \ 1)) \ 1.
L(x,x \ 1,y) \ L(y,1 / x,y) = ((1 / y) * (((y \ y) / x) \ 1)) \ 1.
L(x,x \ 1,y) \ L(y,x \ 1,y) = ((1 / y) * (((y \ y) / x) \ 1)) \ 1.
((1 / x) * (((x \ x) / y) \ 1)) \ 1 = T(L(x,y \ 1,x) * (1 / y),y).
T(L(x,y \ 1,x) * (1 / y),y) = ((1 / x) * (((x \ x) / y) \ 1)) \ 1.
T((1 / x) * T(y,x \ y),x) = ((1 / y) * (((y \ y) / x) \ 1)) \ 1.
((1 / x) * (((x \ x) / y) \ 1)) \ 1 = y \ R(x,y,y \ x).
((1 / x) * ((1 / y) \ 1)) \ 1 = y \ R(x,y,y \ x).
((1 / x) * y) \ 1 = y \ R(x,y,y \ x).
x \ R(y,x,x \ y) = ((1 / y) * x) \ 1.
a(L(((1 / x) * y) \ 1,z,R(x,y,y \ x)),u,w) = a(L(y,z,R(x,y,y \ x)) \ R(x,y,y \ x),u,w).
a(L(x,y,R(z,x,x \ z)) \ R(z,x,x \ z),u,w) = a(L(((1 / z) * x) \ 1,y,R(z,x,x \ z)),u,w).
a(L(((1 / x) * y) \ 1,y,R(x,y,y \ x)),z,u) = a(L(y \ R(x,y,y \ x),y,y),z,u).
a(L(((1 / x) * y) \ 1,y,L(x,y,y \ x)),z,u) = a(L(y \ R(x,y,y \ x),y,y),z,u).
a(L(((1 / x) * y) \ 1,y,L(x,y,y \ x)),z,u) = a(L(((1 / x) * y) \ 1,y,y),z,u).
a(L(((1 / x) * y) \ 1,y,L(x,y,y \ x)),z,u) = a(y \ ((1 / x) \ 1),z,u).
a(L(((1 / x) * y) \ 1,y,L(x,y,y \ x)),z,u) = a(y \ x,z,u).
a(L(x,y,L(z,x,x \ z)) \ R(z,x,x \ z),u,w) = a(L(((1 / z) * x) \ 1,y,R(z,x,x \ z)),u,w).
a(L(x,x,y) \ R(y,x,x \ y),z,u) = a(L(((1 / y) * x) \ 1,x,R(y,x,x \ y)),z,u).
a(L(((1 / x) * y) \ 1,y,R(x,y,y \ x)),z,u) = a(L(y,y,x) \ R(x,y,y \ x),z,u).
T((x \ (x / y)) \ 1,x \ (R(x,y,y) / y)) \ a(x,y,y) = T((x * y) \ R(x,y,y),(x \ (x / y)) \ 1).
T((x \ (x / y)) \ 1,x \ (R(x,y,y) / y)) \ a(x,y,y) = T((x * y) \ R(x,y,y),((x / y) \ x) * 1).
T((x \ (x / y)) \ 1,x \ (R(x,y,y) / y)) \ a(x,y,y) = T((x * y) \ R(x,y,y),y * 1).
T((x \ (x / y)) \ 1,x \ (R(x,y,y) / y)) \ a(x,y,y) = T((x * y) \ R(x,y,y),y).
T((x \ (x / y)) \ 1,x \ (R(x,y,y) / y)) \ a(x,y,y) = (x * (y * y)) \ (x * y).
T((x \ (x / y)) \ 1,y \ 1) \ a(x,y,y) = (x * (y * y)) \ (x * y).
(((x * y) \ x) \ 1) \ a(x,y,y) = (x * (y * y)) \ (x * y).
a(a(x,y,y),(a(y,y,x) \ a(y,y,L(x,z,u))) * a(y,y,x),w) = a(w,a(y,y,x),a(y,y,x) \ R(a(y,y,x),z,u)).
x / T(R(((a(y,z,u) / (x \ 1)) * a(y,z,u)) / (a(y,z,u) / (x \ 1)),x,x),x) = (x / (a(y,z,u) / (x \ 1))) * x.
((x \ 1) * y) \ (L((x \ y) / ((x \ 1) * y),z,u) \ (x \ y)) = (((x \ 1) * y) * a(x,x \ 1,L(y,z,u))) \ (x \ y).
((x \ 1) * y) \ ((x \ y) * R((x \ y) \ ((x \ 1) * y),z,u)) = a(x,x \ 1,L(y,z,u)) \ a(x,x \ 1,y).
a(x,y,z \ L(z,u \ K(z,z * u),u \ K(z,z * u))) = a(x,y,(u \ K(z,u * z)) * (z \ ((u \ 1) \ z))).
a(x,y,z \ L(z,u \ K(z,z * u),u \ K(z,z * u))) = a(x,y,(z / (z * u)) * (K(z,u * z) * u)).
a(x,y,(T(z,u) / (z * w)) * w) = a(x,y,z \ L(z,w \ K(z,z * w),w \ K(z,z * w))).
a(x,y,z \ L(z,u \ K(z,z * u),u \ K(z,z * u))) = a(x,y,(T(z,w) / (z * u)) * u).
a(x,y,z \ L(z,u \ K(z,z * u),u \ K(z,z * u))) = a(x,y,(z / T(z * u,z)) * u).
a((x * y) \ x,(x * y) \ x,L(z,(x * y) \ x,x)) = x \ (x * (R(y,x \ (y \ x),z) \ y)).
a((x * y) \ x,(x * y) \ x,L(z,(x * y) \ x,x)) = R(y,x \ (y \ x),z) \ y.
a((x * y) \ x,(x * y) \ x,L(z,x \ (y \ x),x)) = R(y,x \ (y \ x),z) \ y.
R(x,y \ (x \ y),z) \ x = a((y * x) \ y,y \ (x \ y),L(z,y \ (x \ y),y)).
a((x * y) \ x,x \ (y \ x),L(z,x \ (y \ x),x)) = R(y,x \ (y \ x),z) \ y.
R(x,y \ (x \ y),z) \ x = a(y \ (x \ y),y \ (x \ y),L(z,y \ (x \ y),y)).
a(x \ (y \ x),x \ (y \ x),L(z,x \ (y \ x),x)) = R(y,x \ (y \ x),z) \ y.
R(x,y \ (x \ y),z) \ x = a(y \ (x \ y),y \ (x \ y),z).
a(x \ (y \ x),x \ (y \ x),z) = R(y,x \ (y \ x),z) \ y.
a(a(x,y,y),a(y,y,L(x,z,u)),w) = a(w,a(y,y,x),a(y,y,x) \ R(a(y,y,x),z,u)).
a(x,a(y,y,z),a(y,y,z) \ R(a(y,y,z),u,w)) = a(a(z,y,y),a(y,y,L(z,u,w)),x).
x / T(R(a(y,z,u),x,x),x) = (x / (a(y,z,u) / (x \ 1))) * x.
x / R(T(a(y,z,u),x),x,x) = (x / (a(y,z,u) / (x \ 1))) * x.
x / R(a(y,z,u),x,x) = (x / (a(y,z,u) / (x \ 1))) * x.
(x / (a(y,z,u) / (x \ 1))) * x = x / R(a(y,z,u),x,x).
(x / (a(y,z,u) / (x \ 1))) * x = R(a(y,z,u),x,x) \ x.
((a(x,y,z) / (u \ 1)) \ u) * u = R(a(x,y,z),u,u) \ u.
(x \ (a(y,z,u) \ x)) / (x \ 1) = R(a(y,z,u),x,x) \ x.
(x \ (a(y,z,u) \ x)) / (x \ 1) = L(a(y,z,u),x,x) \ x.
L(a(x,y,z),u,u) \ u = (1 / u) \ (u \ (a(x,y,z) \ u)).
(1 / x) \ (x \ (a(y,z,u) \ x)) = L(a(y,z,u),x,x) \ x.
((x \ 1) * y) \ (L((x \ y) / ((x \ 1) * y),z,u) \ (x \ y)) = ((x \ 1) * (y * a(x,x \ 1,L(y,z,u)))) \ (x \ y).
((x \ 1) * y) \ (L((x \ y) / ((x \ 1) * y),z,u) \ (x \ y)) = (R(1 / x,x,x \ L(y,z,u)) * y) \ (x \ y).
((x \ 1) * y) \ (L((x \ y) / ((x \ 1) * y),z,u) \ (x \ y)) = (R(1 / x,x,L(x \ y,z,u)) * y) \ (x \ y).
((x \ 1) * y) \ (L((x \ y) / ((x \ 1) * y),z,u) \ (x \ y)) = L((1 / x) * y,x,L(x,z,u)) \ (x \ y).
((x \ 1) * y) \ (L(a(x,x \ 1,y),z,u) \ (x \ y)) = L((1 / x) * y,x,L(x,z,u)) \ (x \ y).
((x \ 1) * y) \ (a(x,x \ 1,L(y,z,u)) \ (x \ y)) = L((1 / x) * y,x,L(x,z,u)) \ (x \ y).
T((x \ L(x,y,z)) * ((L(x,y,z) \ x) * u),(x \ L(x,y,z)) \ 1) = R(u,x \ L(x,y,z),(x \ L(x,y,z)) \ 1).
T(L(x,L(y,z,u) \ y,y \ L(y,z,u)),(y \ L(y,z,u)) \ 1) = R(x,y \ L(y,z,u),(y \ L(y,z,u)) \ 1).
R(x,y \ L(y,z,u),(y \ L(y,z,u)) \ 1) = T(L(x,L(y,z,u) \ y,y \ L(y,z,u)),L(y,z,u) \ y).
T(L(x,L(y,z,u) \ y,y \ L(y,z,u)),L(y,z,u) \ y) = R(x,y \ L(y,z,u),(y \ L(y,z,u)) \ 1).
R(x,y \ L(y,z,u),(y \ L(y,z,u)) \ 1) = L(x,L(y,z,u) \ y,y \ L(y,z,u)).
R(x,y \ L(y,z,u),L(y,z,u) \ y) = L(x,L(y,z,u) \ y,y \ L(y,z,u)).
L(x,L(y,z,u) \ y,y \ L(y,z,u)) = R(x,y \ L(y,z,u),L(y,z,u) \ y).
L(x,y \ L(y,z,u),L(y,z,u) \ y) = L(x,L(y,z,u) \ y,y \ L(y,z,u)).
L(x,L(y,z,u) \ y,y \ L(y,z,u)) = L(x,y \ L(y,z,u),L(y,z,u) \ y).
T(x * (T(y / (z * y),x) / (R(z,z,y) \ z)),R(z,z,y) \ z) = L(R(z,z,y) \ z,z \ 1,x) \ ((y / (z * y)) * x).
x * T((y \ L(y,z,u)) \ K(x,w),K(x / (y \ L(y,z,u)),w)) = T(x * ((y \ L(y,z,u)) \ 1),w).
x * T(K(x,y) * (L(z,u,w) \ z),K(x / (z \ L(z,u,w)),y)) = T(x * ((z \ L(z,u,w)) \ 1),y).
x * T(K(x,y) * (L(z,u,w) \ z),K(x,y)) = T(x * ((z \ L(z,u,w)) \ 1),y).
x * ((L(y,z,u) \ y) * K(x,w)) = T(x * ((y \ L(y,z,u)) \ 1),w).
T(x * ((y \ L(y,z,u)) \ 1),w) = x * ((L(y,z,u) \ y) * K(x,w)).
T(x * ((y \ L(y,z,u)) \ 1),w) = T(x,w) * (L(y,z,u) \ y).
T(x * (L(y,z,u) \ y),w) = T(x,w) * (L(y,z,u) \ y).
(x \ y) * T(x * (L(z,u,w) \ z),x \ y) = (y / x) * (x * (L(z,u,w) \ z)).
(x * y) \ (y * T(T(x * (L(z,u,w) \ z),y),T(x,y))) = L(T(L(z,u,w) \ z,T(x,y)),x,y).
T(T(x * (L(y,z,u) \ y),w),T(T(x,L(y,z,u) \ y),w)) = T(x,w) * (L(y,z,u) \ y).
(x / y) * (y * (L(z,u,w) \ z)) = (y * (L(z,u,w) \ z)) * (y \ x).
(x / y) * (y * (L(z,u,w) \ z)) = ((L(z,u,w) \ z) * y) * (y \ x).
x * L(L(y,z,u) \ y,w,w \ x) = ((L(y,z,u) \ y) * w) * (w \ x).
T(T(x * (L(y,z,u) \ y),w),T(x,w)) = T(x,w) * (L(y,z,u) \ y).
T(x * (L(y,z,u) \ y),w) = T(T(x * (L(y,z,u) \ y),w),T(x,w)).
T(T(x * (L(y,z,u) \ y),w),T(x,w)) = T(x * (L(y,z,u) \ y),w).
(x * y) \ (y * T(x * (L(z,u,w) \ z),y)) = L(T(L(z,u,w) \ z,T(x,y)),x,y).
(x * y) \ ((x * (L(z,u,w) \ z)) * y) = L(T(L(z,u,w) \ z,T(x,y)),x,y).
L(T(L(x,y,z) \ x,T(u,w)),u,w) = R(L(x,y,z) \ x,u,w).
L(L(x,y,z) \ x,u,w) = R(L(x,y,z) \ x,u,w).
L(L(x,y,z) \ x,u,w) * (u * w) = ((L(x,y,z) \ x) * u) * w.
(L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,u) \ u) = L(u,u,L(x,y,z) \ x).
L(x \ L(x,y,z),x,u) \ 1 = L(L(x,y,z) \ x,x,u).
L(L(x,y,z) \ x,u,w) \ x = x * R(x \ L(x,y,z),u,w).
L(L(x,L(x,y,z),u) \ x,y,z) = a(u,L(x,y,z),L(x,y,z)).
L(x \ L(x,y,z),u,w) \ 1 = L(L(x,y,z) \ x,u,w).
L(L(x,y,z) \ x,x,u) \ 1 = L(x \ L(x,y,z),x,u).
(x \ ((x / y) * L(y,z,u))) \ 1 = L(L(y,z,u) \ y,y,x).
L(L(x,y,z) \ x,x,u) = (u \ ((u / x) * L(x,y,z))) \ 1.
L(x \ L(x,y,z),x,u) \ 1 = L(L(x,y,z) \ x,x,x \ u).
L(L(x,y,z) \ x,x,x \ u) = L(x \ L(x,y,z),x,u) \ 1.
((x * y) \ ((x * (y * z)) / z)) \ 1 = L(L(z,y,x) \ z,z,y * x).
L(L(x,y,z) \ x,x,y * z) = ((z * y) \ ((z * (y * x)) / x)) \ 1.
(x \ L(x,y,z)) * L(L(x,y,z) \ x,u,w) = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)).
L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = (x \ L(x,y,z)) * L(L(x,y,z) \ x,u,w).
L(L(x,y,z) \ x,u,w) \ x = x * L(x \ L(x,y,z),u,w).
L(L(x,y,z) \ x,x,x \ u) = L(L(x,y,z) \ x,x,u).
L(L(x,y,z) \ x,x,u) = L(L(x,y,z) \ x,x,x * u).
L(L(x,y,z) \ x,x,x * u) = L(L(x,y,z) \ x,x,u).
x * L(L(y,z,u) \ y,y,x) = (x / y) * (y * (L(y,z,u) \ y)).
(x / y) * (y * (L(y,z,u) \ y)) = x * L(L(y,z,u) \ y,y,x).
L(L(x,y,z) \ x,x,x * x) = L(x,y,z) \ x.
L(x,x,L(y,z,u) \ y) = ((L(y,z,u) \ y) / (x * (L(y,z,u) \ y))) \ 1.
R(x,x,L(y,z,u) \ y) = L(x,x,L(y,z,u) \ y).
L(x,x,L(y,z,u) \ y) = R(x,x,L(y,z,u) \ y).
a(x,x,L(y,z,u) \ y) * x = L(x,x,L(y,z,u) \ y).
R(x,x,L(y,z,u) \ y) \ x = a(L(y,z,u) \ y,x,x).
x * y != L(y,y,L(z,u,w) \ z) | x = a(z \ L(z,u,w),y,y).
a(x,x,L(y,z,u) \ y) = a(y \ L(y,z,u),x,x).
a(x \ L(x,y,z),u,u) = a(u,u,L(x,y,z) \ x).
a(x,x,L(L(y,z,u) \ y,w,v5)) = L(a(y \ L(y,z,u),x,x),w,v5).
a(x,x,L(y,z,u) \ y) = a(x,x,R(y,z,u) \ y).
a(x,x,L(T(y,z) \ 1,u,w) \ (T(y,z) \ 1)) = a(x,x,R(T(y,z) \ 1,u,w) \ (y \ K(z,y))).
a(x,x,R(T(y,z) \ 1,u,w) \ (y \ K(z,y))) = a(x,x,L(T(y,z) \ 1,u,w) \ (T(y,z) \ 1)).
a(x,x,L((1 / y) \ z,y,z) \ ((1 / y) \ z)) = a(x,x,T(z * y,z) \ ((1 / y) \ z)).
a(L(x,y,z) \ x,u,u) \ 1 = a(u,u,L(x,y,z) \ x).
x * a(L(y,z,u) \ y,w,w) = a(w,w,L(y,z,u) \ y) \ x.
a(x,x,L(y,z,u) \ y) \ w = w * a(L(y,z,u) \ y,x,x).
L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = L(x,y,z) * (x \ L(L(x,y,z) \ x,u,w)).
a(x,x,y \ R(y,z,u)) = a(x,x,L(T(y,w) \ 1,z,u) \ (T(y,w) \ 1)).
a(x,x,L(T(y,z) \ 1,u,w) \ (T(y,z) \ 1)) = a(x,x,y \ R(y,u,w)).
a(x,x,y \ L(y,z,u)) = a(x,x,L(T(y,w) \ 1,z,u) \ (T(y,w) \ 1)).
a(x,x,L(T(y,z) \ 1,u,w) \ (T(y,z) \ 1)) = a(x,x,y \ L(y,u,w)).
a(x,y,L(z,u * z,u * z) \ T(u * z,w)) = a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)).
a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)) = a(x,y,L(z,u * z,u * z) \ T(u * z,w)).
a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)) = a(x,y,L(z,u * z,u * z) \ (u * z)).
a(x,y,L(z \ (u * z),u * z,u * z)) = a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)).
a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)) = a(x,y,L(z \ (u * z),u * z,u * z)).
a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)) = a(x,y,L(T(u,z),u * z,u * z)).
a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)) = a(x,y,L(u,u * z,u * z)).
a(x,y,z \ T(L(u,T(u * z,w),T(u * z,w)) * z,w)) = a(x,y,L(u,u * z,z)).
a(x,y,z \ T(L(u,u * z,u * z) * z,w)) = a(x,y,L(u,u * z,z)).
a(x,y,z \ T(((1 / (u * z)) \ u) / u,w)) = a(x,y,L(u,u * z,z)).
a(x,y,z \ (u \ ((1 / (u * z)) \ u))) = a(x,y,L(u,u * z,z)).
a(x,y,L(z,z * u,u)) = a(x,y,u \ (z \ (((z * u) \ 1) \ z))).
a(x,y,z \ (u \ (((u * z) \ 1) \ u))) = a(x,y,L(u,u * z,z)).
a(x,y,L(L(z,z,u),u,u)) = a(x,y,L(z,z * u,u)).
L(x,L(y \ a(y,y,y),y \ 1,z),(z \ ((L(y,y,y) \ 1) \ z)) \ 1) = L(x,y \ a(y,y,y),y \ a(y,y,y)).
T(x * ((R(y,y,z) \ y) \ T(z / (y * z),x)),R(y,y,z) \ y) = L(R(y,y,z) \ y,y \ 1,x) \ ((z / (y * z)) * x).
T(x * T(1 / y,x),R(y,y,z) \ y) = L(R(y,y,z) \ y,y \ 1,x) \ ((z / (y * z)) * x).
L(R(x,x,y) \ x,x \ 1,z) \ ((y / (x * y)) * z) = T(z * T(1 / x,z),R(x,x,y) \ x).
L(R(x,x,y) \ x,x \ 1,z) \ ((y / (x * y)) * z) = T((1 / x) * z,R(x,x,y) \ x).
L(R(x,x,y) \ x,x \ 1,z) \ ((y / (x * y)) * z) = (1 / x) * z.
a(x \ 1,x,y) \ ((y / (x * y)) * z) = (1 / x) * z.
(1 / x) * y = L(x \ y,x,z \ (x \ z)).
L(x \ y,x,z \ (x \ z)) = (1 / x) * y.
L(x,y,z \ (y \ z)) = (1 / y) * (y * x).
L((x * (y / (x * y))) \ z,x * (y / (x * y)),y \ ((x \ 1) * (x * y))) = (1 / (x * (y / (x * y)))) * z.
L(x,y,z \ (y \ z)) = L(x,y,y \ 1).
L(x,y \ z,(y \ z) \ 1) = L(x,y \ z,z \ y).
L(x,y \ (((z * z) * y) / z),((y * z) \ ((z * z) * y)) \ 1) = L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)).
L(x,y \ z,z \ y) = a(y \ z,y \ z,x) * x.
a(x \ y,x \ y,z) * z = L(z,x \ y,y \ x).
L(x,y \ (z \ y),L(z,z,y)) = L(x,y \ (z \ y),(z \ y) \ y).
L(x,y \ (z \ y),L(z,z,y)) = L(x,y \ (z \ y),z).
L(x,y \ (z \ y),z) \ x = a(L(z,z,y),y \ (z \ y),x).
a(L(x,x,y),y \ (x \ y),z) = L(z,y \ (x \ y),x) \ z.
a(L(x,x,y),y \ (x \ y),z) = L(z,x \ 1,x) \ z.
a(L(x,x,y),y \ (x \ y),z) = a(x,x \ 1,z).
a(L(x,x,y),L(x \ 1,x,y),z) = a(x,x \ 1,z).
a(x,x \ 1,y) = a(R(x,x,z),L(x \ 1,x,z),y).
a(R(x,x,y),L(x \ 1,x,y),z) = a(x,x \ 1,z).
a(R(x,x,y) \ 1,R(x,x,y) \ 1,z) = a(x,x \ 1,z) \ 1.
L(x,L(y \ 1,y,z),y) = a(L(y,y,u),L(y \ 1,y,u),x) \ x.
a(x,x \ 1,y) = a(R(x,x,z),R(x \ 1,x,z),y).
a(R(x,x,y),R(x \ 1,x,y),z) = a(x,x \ 1,z).
((1 * R(x,x,y)) \ 1) \ ((1 * R(x,x,y)) \ z) = a(x,x \ 1,z) * z.
a(x \ 1,x \ 1,y) = a(R(x,x,z) \ 1,R(x,x,z) \ 1,y).
a(R(x,x,y) \ 1,R(x,x,y) \ 1,z) = a(x \ 1,x \ 1,z).
a(R(x \ 1,x,y),R(x,x,y) \ 1,z) = a(x \ 1,x \ 1,z).
a(R(x \ 1,x,y),R(x \ 1,x,y),z) = a(x \ 1,x \ 1,z).
a(R(x \ 1,x,y),L(x \ 1,x,y),z) = a(x \ 1,x \ 1,z).
a(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(x \ 1,x \ 1,z).
L(x,L(y \ 1,y,z),y) = L(x,L(y \ 1,y,u),L(y,y,u)).
L(x,L(y \ 1,y,z),L(y,y,z)) = L(x,L(y \ 1,y,u),y).
L(x,L(y \ 1,y,z),L(y,y,z)) = L(x,y \ 1,y).
a(x,L(y,y,z) \ L(u,y \ 1,y),w) = a(x,R(y \ 1,y,z) * u,w).
((1 * R(x,x,y)) \ 1) \ ((1 * R(x,x,y)) \ z) = (x \ 1) \ (x \ z).
(R(x,x,y) \ 1) \ ((1 * R(x,x,y)) \ z) = (x \ 1) \ (x \ z).
R(x \ 1,x,y) \ ((1 * R(x,x,y)) \ z) = (x \ 1) \ (x \ z).
R(x \ 1,x,y) \ (R(x,x,y) \ z) = (x \ 1) \ (x \ z).
L(x,((y \ 1) \ (y \ z)) * L(y \ 1,y,u),w) = L(x,(L(y \ 1,y,u) \ 1) \ z,w).
L(x,y \ (z \ y),y \ (z \ y)) = (z \ 1) \ (z \ x).
((x \ 1) \ (x \ y)) \ y = a(z \ (x \ z),z \ (x \ z),y).
a(x \ (y \ x),x \ (y \ x),z) = ((y \ 1) \ (y \ z)) \ z.
a(x \ (y \ x),x \ (y \ x),z) = a(y \ 1,y \ 1,z).
a(x \ 1,x \ 1,y) = R(x,z \ (x \ z),y) \ x.
R(x,y \ (x \ y),z) \ x = a(x \ 1,x \ 1,z).
a(x \ 1,x \ 1,y) \ x = R(x,z \ (x \ z),y).
R(x,y \ (x \ y),z) = a(x \ 1,x \ 1,z) \ x.
R(x,y \ (x \ y),z) = a(x,x \ 1,z) * x.
R(x,y \ (x \ y),z) = R(x,x \ 1,z).
R(x / (x / y),(y * z) \ (K(y,y \ x) * z),u) = R(x / (x / y),(x / (x / y)) \ 1,u).
R(x / (x / y),(x / (x / y)) \ 1,z) = R(x / (x / y),(y * u) \ (K(y,y \ x) * u),z).
a(x,(L(y,y,z) \ 1) * u,w) = a(x,R(y \ 1,y,z) * u,w).
a(x,R(y \ 1,y,z) * u,w) = a(x,(L(y,y,z) \ 1) * u,w).
a(x,L(y \ 1,y,z) * u,w) = a(x,(L(y,y,z) \ 1) * u,w).
L(x,(L(y \ 1,y,z) \ 1) \ u,w) = L(x,a(y,y,z) \ (y \ u),w).
L(x,a(y,y,z) \ (y \ u),w) = L(x,(L(y \ 1,y,z) \ 1) \ u,w).
L(x,R(y,y,z) \ u,w) = L(x,(L(y \ 1,y,z) \ 1) \ u,w).
L(x,(L(y \ 1,y,z) \ 1) \ u,w) = L(x,R(y,y,z) \ u,w).
L(x,L((y \ 1) \ 1,y \ 1,z) \ u,w) = L(x,R(y,y,z \ 1) \ u,w).
L(x,R(y,y,z \ 1) \ u,w) = L(x,L(y,y \ 1,z) \ u,w).
L(x,L(y,y \ 1,z) \ u,w) = L(x,R(y,y,z \ 1) \ u,w).
L(x,L(y,y,z \ 1) \ u,w) = L(x,L(y,y \ 1,z) \ u,w).
L(x,L(y,y \ 1,z) \ u,w) = L(x,L(y,y,z \ 1) \ u,w).
L(x,L(y,y,z \ 1) \ u,w) = L(x,(y \ u) * a(y,y,z),w).
R(x / (x / y),(x / (x / y)) \ 1,z) = R(x / (x / y),(y * u) \ u,z).
R(x / (x / y),(x / (x / y)) \ 1,z) = R(x / (x / y),u \ (y \ u),z).
R(x / (x / y),z \ (y \ z),u) = R(x / (x / y),((x / y) \ x) \ 1,u).
R(x / (x / y),((x / y) \ x) \ 1,z) = R(x / (x / y),u \ (y \ u),z).
R(x / (x / y),y \ 1,z) = R(x / (x / y),u \ (y \ u),z).
R(x / (x / y),z \ (y \ z),u) = R(x / (x / y),y \ 1,u).
(1 / (x * (y / (x * y)))) * z = L((x * (y / (x * y))) \ z,x * (y / (x * y)),y \ L(y,x,x \ 1)).
L((x * (y / (x * y))) \ z,x * (y / (x * y)),y \ L(y,x,x \ 1)) = (1 / (x * (y / (x * y)))) * z.
L((x * (y / (x * y))) \ z,x * (y / (x * y)),a(x,x,y)) = (1 / (x * (y / (x * y)))) * z.
(1 / (x * (y / (x * y)))) * z = L((x * (y / (x * y))) \ z,x * ((x * y) \ y),a(x,x,y)).
L((x * (y / (x * y))) \ z,x * ((x * y) \ y),a(x,x,y)) = (1 / (x * (y / (x * y)))) * z.
(1 / (x * (y / (x * y)))) * z = L((x * (y / (x * y))) \ z,x * (y \ (x \ y)),a(x,x,y)).
L((x * (y / (x * y))) \ z,x * (y \ (x \ y)),a(x,x,y)) = (1 / (x * (y / (x * y)))) * z.
(1 / (x * (y / (x * y)))) * z = L((x * (y / (x * y))) \ z,a(y,x,x),a(x,x,y)).
L((x * (y / (x * y))) \ z,a(y,x,x),a(x,x,y)) = (1 / (x * (y / (x * y)))) * z.
(1 / (x * (y / (x * y)))) * z = (x * (y / (x * y))) \ z.
((x * (y / (x * y))) \ 1) * z = (x * (y / (x * y))) \ z.
(x * (y / (x * y))) \ z = (y \ ((x \ 1) * (x * y))) * z.
(x \ ((y \ 1) * (y * x))) * z = (y * (x / (y * x))) \ z.
L(x,y \ (((z * z) * y) / z),(y \ (((z * z) * y) / z)) \ 1) = L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (((z * z) * y) / z),(y \ (z \ ((z * z) * y))) \ 1).
L(x,y \ (((z * z) * y) / z),(y \ (z \ ((z * z) * y))) \ 1) = L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)).
L(x,y \ (((z * z) * y) / z),R(T(z,y),z,y) \ 1) = L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (((z * z) * y) / z),R(T(z,y),z,y) \ 1).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (((z * z) * y) / z),R(T(z,y) \ 1,z,y)).
L(x,y \ (((z * z) * y) / z),L(T(z,y) \ 1,z,y)) = L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (((z * z) * y) / z),L(T(z,y) \ 1,z,y)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (((z * z) * y) / z),(z * y) \ (y * 1)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (((z * z) * y) / z),(z * y) \ y).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (((z * z) * y) / z),y \ (z \ y)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,y \ (z \ ((z * z) * y)),y \ (z \ y)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,R(T(z,y),z,y),y \ (z \ y)).
L(x,L(T(y,z),y,z),z \ (y \ z)) = L(x,(z * y) \ ((y * y) * z),((y * y) * z) \ (z * y)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,L(T(z,y),z,y),y \ (z \ y)).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,L(z,z,y),y \ (z \ y)).
L(x,L(L(y,z,u),w,v5),y) = L(K(L(L(y,z,u),w,v5),y) * x,y,L(L(y,z,u),w,v5)).
L(K(L(L(x,y,z),u,w),x) * v5,x,L(L(x,y,z),u,w)) = L(v5,L(L(x,y,z),u,w),x).
L(K(L(x,y,z),x) * u,x,L(L(x,y,z),w,v5)) = L(u,L(L(x,y,z),w,v5),x).
L(K(x,x) * y,x,L(L(x,z,u),w,v5)) = L(y,L(L(x,z,u),w,v5),x).
L(1 * x,y,L(L(y,z,u),w,v5)) = L(x,L(L(y,z,u),w,v5),y).
L(x,y,L(L(y,z,u),w,v5)) = L(x,L(L(y,z,u),w,v5),y).
L(x,L(L(y,z,u),w,v5),y) = L(x,y,L(L(y,z,u),w,v5)).
R(x \ 1,y / (x \ 1),(y / (1 / x)) \ x) \ (x \ 1) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
R(x \ 1,y / (x \ 1),((1 / x) \ y) \ x) \ (x \ 1) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
R(x \ 1,y / (x \ 1),((x \ 1) \ y) \ x) \ (x \ 1) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
R(x \ 1,(x \ 1) \ y,((x \ 1) \ y) \ x) \ (x \ 1) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
(x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))) = x \ (1 * R(1 \ x,(x \ 1) \ y,((x \ 1) \ y) \ x)).
x \ (1 * R(1 \ x,(x \ 1) \ y,((x \ 1) \ y) \ x)) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
x \ (1 * R(x,(x \ 1) \ y,((x \ 1) \ y) \ x)) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
x \ (1 * R(x,x * y,x \ (y \ x))) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
x \ R(x,x * y,x \ (y \ x)) = (x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))).
(x \ 1) * ((y / (x \ 1)) * (y \ K(y * x,x \ 1))) = a(x,x * y,x \ (y \ x)).
(x \ 1) * (((x \ 1) \ y) * (y \ 1)) = a(x,x * y,x \ (y \ x)).
a(x,x * y,x \ (y \ x)) = (x \ 1) * (((x \ 1) \ y) * (y \ 1)).
1 / ((x \ (a(y,z,u) \ T(x,w))) \ L(T(x,w),a(y,z,u),x)) = L((a(y,z,u) * x) \ 1,T(x,w),(a(y,z,u) * x) \ 1).
(x \ (1 / (y \ (y / x)))) \ (((1 / (y \ (y / x))) / ((1 / (y \ (y / x))) / x)) \ z) = a(x \ y,x,x \ 1) \ (x \ z).
(x \ (1 / (y \ (y / x)))) \ (((1 / (y \ (y / x))) / ((1 / (y \ (y / x))) / x)) \ z) = x \ (a(x \ y,x,x \ 1) \ z).
(x \ (1 / (y \ (y / x)))) \ (((1 / (y \ (y / x))) / ((1 / (y \ (y / x))) / x)) \ z) = (1 / L(1 / x,x,y)) \ z.
(x \ (1 / (y \ (y / x)))) \ (((1 / (y \ (y / x))) / (x \ (1 / (y \ (y / x))))) \ z) = (1 / L(1 / x,x,y)) \ z.
(x \ (1 / (y \ (y / x)))) \ (x \ z) = (1 / L(1 / x,x,y)) \ z.
L(L(x,y,z) \ L(L(x,y,z),x,u),L(x,y,z),x) = a(u \ 1,x,L(L(L(x,y,z),x,u),x,u \ 1)).
a(x \ 1,y,L(L(L(y,z,u),y,x),y,x \ 1)) = L(L(y,z,u) \ L(L(y,z,u),y,x),y,L(y,z,u)).
L(L(x,y,z) \ L(L(x,y,z),x,u),x,L(x,y,z)) = a(u \ 1,x,L(L(L(x,y,z),x,u),x,u \ 1)).
a(x \ 1,y,L(L(L(y,z,u),y,x),y,x \ 1)) = L(y,z,u) \ L(L(y,z,u),y,x).
a(x \ 1,y,L(y,z,u)) = L(y,z,u) \ L(L(y,z,u),y,x).
L(x,y,z) \ L(L(x,y,z),x,u) = a(u \ 1,x,L(x,y,z)).
L(R(x \ L(x,x,y \ 1),z,u),L(L(R(x,z,u),x,y \ 1),x,y),x) = a(y,x,L(L(R(x,z,u),x,y \ 1),x,y)).
L(R(a(x,y,y),z,u),L(L(R(y,z,u),y,x \ 1),y,x),y) = a(x,y,L(L(R(y,z,u),y,x \ 1),y,x)).
L(a(L(x,y,z),u,u),L(L(R(u,y,z),u,x \ 1),u,x),u) = a(x,u,L(L(R(u,y,z),u,x \ 1),u,x)).
a(x,y,L(L(R(y,z,u),y,x \ 1),y,x)) = a(L(x,z,u),y,y).
a(x,y,R(y,z,u)) = a(L(x,z,u),y,y).
a(L(x,y,z),u,u) = a(x,u,R(u,y,z)).
a(x,y,L(y,z,u)) = a(L(x,z,u),y,y).
a(L(x,y,z),u,u) = a(x,u,L(u,y,z)).
a(L(L(x,y,z),u,w),v5,v5) = a(L(x,u,w),v5,L(v5,y,z)).
a(x \ (y * z),u,u) = a((y \ x) \ z,u,L(u,y \ x,y)).
a((x \ y) \ z,u,L(u,x \ y,x)) = a(y \ (x * z),u,u).
a(L(x,y,z),R(u,u,w),R(u,u,w)) = a(x,R(u,u,w),L((w / (u * w)) \ 1,y,z)).
a((1 / x) * y,z,z) = a(x \ y,z,L(z,x,x \ 1)).
a(x \ y,z,L(z,x,x \ 1)) = a((1 / x) * y,z,z).
a(a(x,y,z),u,u) = a(x \ R(x,y,z),u,L(u,x,z * y)).
a(x \ R(x,y,z),u,L(u,x,z * y)) = a(a(x,y,z),u,u).
a(L(x,y,z),u,L(u,w,x)) = a(L(x,y,z),u,u).
a(x,y,y) = a(L(x,z,z \ 1),y,L(y,z,z)).
a(L(x,y,y \ 1),z,L(z,y,y)) = a(x,z,z).
a(x,y,y) = a(L(x,z,z),y,L(y,z,z \ 1)).
a(L(x,y,y),z,L(z,y,y \ 1)) = a(x,z,z).
a(x * y,z,L(z,y,y)) = a((y \ 1) \ x,z,z).
a(x * y,z,L(z,y,x)) = a((y * y) * (y \ x),z,z).
a((x * x) * (x \ y),z,z) = a(y * x,z,L(z,x,y)).
a(x * y,z,L(z,y,y \ 1)) = a((y * y) * (y \ x),z,z).
a((x * y) * y,z,L(z,y,x * y)) = a((y * y) * x,z,z).
a(x \ y,z,L(z,x \ y,y)) = a((y \ x) \ 1,z,z).
a((1 / x) * (x \ y),z,z) = a((x * x) \ y,z,L(z,x,x \ (x \ 1))).
a((x * x) \ y,z,L(z,x,x \ (x \ 1))) = a((1 / x) * (x \ y),z,z).
a(L(1 / x,x,y),z,z) = a(x \ 1,z,L(z,x,(y \ x) \ 1)).
a(x \ 1,y,L(y,x,(z \ x) \ 1)) = a(L(1 / x,x,z),y,y).
a(x,y,L(y,z,z \ 1)) = a(L(x,z,z \ x),y,y).
a(L(x,y,y \ x),z,z) = a(x,z,L(z,y,y \ 1)).
a(x \ 1,y,L(y,z,z \ 1)) = a(z * ((x * z) \ 1),y,y).
a((x * y) \ 1,z,L(z,y,y)) = a(y \ (x \ 1),z,z).
a(x,y,L(y,z,u)) \ y = L(y,y,L(x,z,u)).
a(x,y,L(y,z,u)) * L(x,z,u) = R(L(x,z,u),y,y).
a(x,y,L(y,z,u)) = R(a(x,y,y),z,u).
a(x,y,L(y,z,u)) = L(a(x,y,y),z,u).
a(x,y,L(y,z,z)) * (1 / z) = a(x,y,y) / z.
x \ ((x / y) * R(y,z,z)) = a(y,z,L(z,y,x)).
a(x,y,L(y,x,z)) * z = R(x,y,y) * (x \ z).
x * a(y \ 1,x,L(x,z,u)) = L(x,x,L(y,z,u)).
L(x \ L(x,x,y),z,u) = a(y \ 1,x,L(x,z,u)).
(x * y) * a(z,u,L(u,y,x)) = x * (y * a(z,u,u)).
a(x * (y \ 1),x,L(x,z,u)) = a(L(y \ x,z,u),x,x).
a(x,y,L(y,z,u)) \ R(w,z,u) = R(a(x,y,y) \ w,z,u).
a(x,y,y) * a(a(y,y,x),z,z) = a(x,y,L(y,z,z \ 1)).
a(x * y,x,L(x,z,u)) = a(x * L(y,z,u),x,x).
a(x * L(y,z,u),x,x) = a(x * y,x,L(x,z,u)).
a(x \ y,x,L(x,y \ x,x * x)) = a(x \ y,x,x).
a(a(x \ y,x,L(x,z,u)),w,v5) = a(a(L(y,z,u),x,x),w,v5).
a(x \ y,y,L(y,x,z \ 1)) = a(L(x \ y,x,z \ x),y,y).
a(L(x \ y,x,z \ x),y,y) = a(x \ y,y,L(y,x,z \ 1)).
a(x,y,L(y,y,z)) = a(x,y,y).
(x * y) * a(z,y,L(y,u,w)) = x * (y * a(L(z,u,w),y,y)).
L(x,x,y) \ L(x,x,L(z,u,w)) = a(z,x,L(x,u,w)) \ a(y,x,x).
L(x,x,y) * (a(z,x,L(x,u,w)) \ a(y,x,x)) = L(x,x,L(z,u,w)).
a(x,y \ 1,L(y \ 1,y,z)) = a(x,y \ 1,y \ 1).
x * a(y \ 1,z,L(z,u,w)) = a(L(y,u,w),z,z) \ x.
(x * (a(y,z,z) \ u)) \ (x * u) = a(y,z,L(z,u,x)).
a(x,y,L(y,z,u)) * a(L(x,z,u),y,y) = a(L(x,z,u) * L(x,z,u),y,y).
a(x,y,L(y,x,z)) \ z = x * (R(x,y,y) \ z).
a(x,y,L(y,x,z)) * (z \ 1) = (x * (R(x,y,y) \ z)) \ 1.
a(x,y,L(y,x,z \ 1)) * z = (x \ 1) * (R(x \ 1,y,y) \ z).
(x \ 1) / ((y * (R(y,z,z) \ x)) \ 1) = a(y \ 1,z,L(z,y,x)).
a(x,y,L(y,z,z \ 1)) * z = z \ (a(x,y,y) * (z * z)).
a(x,y,L(y,z,u)) \ a(y,y,w) = y \ L(R(y,y,w),y,L(x,z,u)).
a(x,y,L(y,z,z)) / L(z,z,a(y,y,x)) = a(x,y,y) / z.
a(x,y,L(y,L(x,y,y \ x),z)) = a(L(x,x,z),y,y).
a(x \ 1,y,L(y,x,z \ x)) = a(x \ a(x,x,z),y,y).
a(x,y \ z,y \ z) = a(x,y \ z,(z \ y) \ 1).
a(x,y \ z,(z \ y) \ 1) = a(x,y \ z,y \ z).
a(x,y,y) = a(x,y,(z \ (y \ z)) \ 1).
a(x,y,(z \ (y \ z)) \ 1) = a(x,y,y).
a(x,y,y) = R(a(x,y,y),a(z,y,y),u).
R(a(x,y,y),a(z,y,y),u) = a(x,y,y).
(R(x,y,y) * (x \ z)) \ z = a(x \ 1,y,L(y,x,z)).
a(x,y,y) * R(R(a(x,y,y),z,z),z,z) = a(x * x,y,L(y,z,z)).
a(L(x,y,z) * L(x,y,z),u,u) = a(x * x,u,L(u,y,z)).
a(x,y,L(y,z * z,z \ 1)) = a(x,y,y).
a(L(x,y,z),u,L(u,w,v5)) = R(a(x,u,L(u,y,z)),w,v5).
a(x \ (a(y,x,x) \ z),z,z) = a(x \ z,z,L(z,x,y \ x)).
a(x,y,y) * a(x,a(x,y,y),z) = a(x,y,L(y,x,z)).
a(x,x,L(L(y,z,u) \ y,w,v5)) = a(y \ L(y,z,u),x,L(x,w,v5)).
a(x \ L(x,y,z),u,L(u,w,v5)) = a(u,u,L(L(x,y,z) \ x,w,v5)).
a(L(x,y,z),u,L(u,w,v5)) = L(a(x,u,L(u,y,z)),w,v5).
a(x,R(1 / y,y,z),(z \ (y * z)) \ 1) = a(x,R(1 / y,y,z),R(1 / y,y,z)).
a(x,R(1 / y,y,z),R(1 / y,y,z)) = a(x,R(1 / y,y,z),(z \ (y * z)) \ 1).
a(x,y,y) * (a(z,y,y) * u) = (a(x,y,y) * a(z,y,y)) * u.
(a(x,y,y) * a(z,y,y)) * u = a(x,y,y) * (a(z,y,y) * u).
a(x,y,y) * z = (a(x,y,y) * a(u,y,y)) * (a(u,y,y) \ z).
(a(x,y,y) * a(z,y,y)) * (a(z,y,y) \ u) = a(x,y,y) * u.
a(L(x,y,y),y \ ((y \ 1) \ z),((y \ 1) * y) \ z) = a(x,y \ ((y \ 1) \ z),y \ ((y \ 1) \ z)).
a(x,y,L(y,z,z \ y)) \ y = L(y,y,L(x,z,z \ 1)).
a(L(x,y,z),u,L(u,w,x)) = a(x,u,L(u,y,z)).
a(L(x,y,z),u,L(u,w,w)) * (1 / w) = a(x,u,L(u,y,z)) / w.
a(x,y,L(y,x,a(y,z,u))) * a(y,z,u) = x \ R(x * a(y,z,u),y,y).
a(L(x,y,z),R(u,y,z),L(R(u,y,z),x,w)) * L(w,y,z) = R(L(x,y,z),R(u,y,z),R(u,y,z)) * (L(x,y,z) \ L(w,y,z)).
R(L(x,y,z),R(u,y,z),R(u,y,z)) * (L(x,y,z) \ L(w,y,z)) = a(L(x,y,z),R(u,y,z),L(R(u,y,z),x,w)) * L(w,y,z).
a(a(x,y,y) \ x,y,L(y,a(x,y,y) \ x,z)) * z = x * ((a(x,y,y) \ x) \ z).
a(x,y,L(y,x,z)) \ (x \ z) = R(x,y,y) \ z.
a(x,y,L(y,z,z \ 1)) = a(x,y,L(y,z,z \ x)).
a(x \ 1,y,L(y,z,z \ 1)) = L(y \ L(y,y,x),z,z \ y).
L(x \ L(x,x,y),z,z \ x) = a(y \ 1,x,L(x,z,z \ 1)).
a(x * (y \ 1),x,L(x,z,u)) = a(R(y,z,u) \ x,x,x).
a(x,(y * z) \ y,z \ 1) = a(x,(y * z) \ y,(y * z) \ y).
a(x,(y * z) \ y,(y * z) \ y) = a(x,(y * z) \ y,z \ 1).
a(x \ y,z,L(z,x,x \ 1)) = a((x \ 1) * y,z,z).
L(R(x,y,y),z,u) = a(x,y,L(y,z,u)) * L(x,z,u).
a(x,y,L(y,z,u)) * L(x,z,u) = L(R(x,y,y),z,u).
a(x,y \ 1,(z * y) \ z) = a(x,y \ 1,y \ 1).
a(x,y \ (z \ y),z \ 1) = a(x,z \ 1,z \ 1).
(x * R(y,z,z)) \ (x * y) = a(y \ 1,z,L(z,y,x)).
(x * (y * L(z,z,u))) \ (x * (y * z)) = a(u,z,L(z,y * z,x)).
a(x,y,L(y,L(x,y,y \ x),z)) = a(x,y,L(y,x,z)).
((x / y) * R(y,z,z)) \ x = a(y \ 1,z,L(z,y,x)).
a((x \ 1) * y,z,z) = a(x \ y,z,L(z,x,x \ z)).
a(x \ y,z,L(z,x,x \ z)) = a((x \ 1) * y,z,z).
((x \ L(x,y,z)) * R(u,x,x)) \ ((x \ L(x,y,z)) * u) = a(u \ 1,x,x).
a((x \ y) \ z,y,L(y,x \ y,x)) = a(((x \ y) \ 1) * z,y,y).
a(L(x,y,z),y,L(y,u,w)) = a(L(x,u,w),y,y).
a(L(x,y,z),y,L(y,u,w)) = a(x,y,L(y,u,w)).
x * a(y \ 1,z,L(z,u,w)) = a(y,z,L(z,u,w)) \ x.
L(x,x,L(y,z,z \ 1)) = L(x,x,L(y,z,z \ x)).
L(x,x,L(y,z,z \ x)) = L(x,x,L(y,z,z \ y)).
L(x,x,L(y,z,z \ y)) = L(x,x,L(y,z,z \ x)).
a(R(x,y,z) \ u,u,u) = a(L(x \ u,y,z),u,u).
a(L(x \ y,z,u),y,y) = a(R(x,z,u) \ y,y,y).
a(L(x,y,z) \ u,u,u) = a(L(x \ u,y,z),u,u).
a(L(x \ y,z,u),y,y) = a(L(x,z,u) \ y,y,y).
a(L(x \ y,x \ 1,z),y,y) = a(L(x,x,z \ 1) \ y,y,y).
a(a(L(x \ y,z,u),y,y),w,v5) = a(a(y,y,L(x,z,u)),w,v5).
a(x \ 1,y,L(y,z,u)) \ w = a(x,y,L(y,z,u)) * w.
(L(x,y,z) \ L(L(x,y,z),x,u)) \ w = a(u,x,L(x,y,z)) * w.
a(x \ 1,y,L(y,x,(z \ x) \ 1)) = a(1 / x,y,L(y,x,z)).
a(a(x \ y,x,L(x,z,u)),w,v5) = a(a(y,x,L(x,z,u)),w,v5).
a(x \ y,y,L(y,x,z \ 1)) = a(x \ y,y,L(y,x,z \ x)).
(x * y) * a(z,y,L(y,u,w)) = x * (y * a(z,y,L(y,u,w))).
a(x \ y,y,L(y,x,z \ x)) = a((x \ y) * a(x,x,z),y,y).
a((x \ y) * a(x,x,z),y,y) = a(x \ y,y,L(y,x,z \ x)).
L(x,a(y,z,z),a(u,z,z)) = x.
x = L(x,a(y,z,z),a(z,z,u)).
L(x,a(y,z,z),a(z,z,u)) = x.
x = L(x,a(y,y,z),a(u,y,y)).
L(x,a(y,y,z),a(u,y,y)) = x.
x = L(x,a(y,y,z),a(y,y,u)).
L(x,a(y,y,z),a(y,y,u)) = x.
a(a(x,y,y),a(y,y,z),u) = 1.
(a(x,x,y) * a(x,x,z)) * u = a(x,x,y) * (a(x,x,z) * u).
x * (R(R(x,x,y),x,z) \ u) = T(u / (x \ R(R(x,x,y),x,z)),a(x,x,z)).
T(x / (y \ R(R(y,y,z),y,u)),a(y,y,u)) = y * (R(R(y,y,z),y,u) \ x).
a(x,a(y,y,z),a(y,y,z) \ R(a(y,y,z),u,w)) = 1.
a(x,a(y,y,z),a(y,y,z) \ a(y,y,L(z,u,w))) = 1.
L(a(x,x,y) \ a(x,x,L(y,z,u)),a(x,x,y),w) = a(x,x,y) \ a(x,x,L(y,z,u)).
a(x * x,y,y) * (a(x,y,y) \ z) = a(x,y,y) * z.
L(x \ (a(y,z,z) \ u),x,a(y * y,z,z)) = (a(y * y,z,z) * x) \ (a(y,z,z) * u).
L(x \ L(x,x,y),z,z \ x) = a(z * ((y * z) \ 1),x,x).
a(x * (((x \ y) * x) \ 1),z,z) = a(((x \ z) * y) \ z,z,z).
a(((x \ y) * z) \ y,y,y) = a(x * (((x \ z) * x) \ 1),y,y).
a(x,(y * z) \ y,(y * z) \ y) = a(x,y \ (z \ y),z \ 1).
a(L(x \ y,x,z \ 1),y,y) = a(L(x \ y,x \ 1,z),y,y).
a(L(x \ y,x \ 1,z),y,y) = a(L(x \ y,x,z \ 1),y,y).
a(a(x \ y,y,L(y,z,u)),w,v5) = a(a(y,y,L(x,z,u)),w,v5).
a(x \ 1,y,L(y,x,(z \ x) \ 1)) = a(x \ 1,y,L(y,x,z)).
L(a(x,y,L(y,z,u)),y,w) = a(x,y,L(y,z,u)).
a(x \ y,y,L(y,x,z \ x)) = a(y * (x \ a(x,x,z)),y,y).
a(x * (y \ a(y,y,z)),x,x) = a(y \ x,x,L(x,y,z \ y)).
(a(x,x,y) * (a(x,x,y) * z)) \ z = z \ ((y \ L(y,x,x \ (x \ 1))) \ z).
a(((x \ y) * z) \ y,y,y) = a((z \ 1) * x,y,y).
a(a(x,x,((y \ x) * z) \ x),u,u) = a(u,u,a((z \ 1) * y,x,x)).
R(a(x \ ((y \ x) * z),x,x),((y \ x) * z) \ x,x * x) = a((z \ 1) * y,x,x) \ 1.
a((L(x,y,z) \ 1) * u,x,x) = a((u \ x) \ (L(x,y,z) \ x),x,x).
a((x \ y) \ (L(y,z,u) \ y),y,y) = a((L(y,z,u) \ 1) * x,y,y).
a(x,(y * z) \ y,(y * z) \ y) = a(x,z \ 1,z \ 1).
a(x,y \ 1,y \ 1) = a(x,(z * y) \ z,z \ (y \ z)).
a(x,(y * z) \ y,y \ (z \ y)) = a(x,z \ 1,z \ 1).
a(x,y \ 1,y \ 1) = a(x,z \ (y \ z),z \ (y \ z)).
a(x,y \ (z \ y),y \ (z \ y)) = a(x,z \ 1,z \ 1).
a(L(x \ y,x,z \ 1),y,y) = a(x \ y,y,L(y,x \ 1,z)).
a(x \ y,y,L(y,x \ 1,z)) = a(x \ y,y,L(y,x,z \ 1)).
a(x,y,L(y,x,z \ 1)) * z = R(x,y,y) * (x \ z).
x * y != R(z,u,u) * (z \ y) | x = a(z,u,L(u,z,y)).
a(x,y,L(y,x,z \ 1)) = a(x,y,L(y,x,z)).
a(x,y,L(y,x,z)) * (z \ 1) = R(x,y,y) * (x \ (z \ 1)).
R(x,y,y) * (x \ (z \ 1)) = (x * (R(x,y,y) \ z)) \ 1.
(x * (R(x,y,y) \ z)) \ 1 = R(x,y,y) * (x \ (z \ 1)).
(x \ 1) / (R(y,z,z) * (y \ (x \ 1))) = a(y \ 1,z,L(z,y,x)).
a((((x \ y) \ y) \ z) \ u,z,L(z,((x \ y) \ y) \ z,x)) = a(((((x \ y) \ y) \ z) \ 1) * u,z,z).
L(L(x,y,z),x,u) \ L(x,y,z) = a(u,x,L(x,y,z)).
L(L(x,x,y),z,u) \ L(x,z,u) = a(y,x,L(x,z,u)).
L(a(x,y,L(y,z,u)),L(L(y,z,u),y,x),u * z) = ((u * z) * L(L(y,z,u),y,x)) \ (u * (z * y)).
a(x,y,L(y,z,u)) \ L(y,z,u) = L(L(y,z,u),y,x).
L(R(x,y \ 1,y * x),R(x,y,y \ 1),z) \ L(R(x,y,y \ 1),y,x) = a(z,R(x,y,y \ 1),L(R(x,y,y \ 1),y,x)).
L(L(x,y,z),x,u \ L(w,v5,v6)) \ L(x,y,z) = a(u \ R(w,v5,v6),x,L(x,y,z)).
L(L(L(x,y,z),x,u) \ L(x,y,z),w,x) = a(u,x,L(x,y,z)).
L(L(x,x,y),x,z) \ L(x,x,y) = a(z,x,x).
L(L(x,x,y),x,z) * a(y,x,x) = L(x,x,z).
a(x,y,y) \ L(y,y,z) = L(L(y,y,x),y,z).
L(L(x,x,y),x,y) = L(x,x,y * y).
L(L(x,x,y),L(x,x,y),y) = L(x,x,y * y).
L(x,y,a(z,z,u) * T(a(z,z,u),w)) = L(x,y,z \ L(z,z,u * u)).
a(x,y,L(z,z,u * u)) = a(x,y,(u \ (L(z,z,u) \ u)) \ 1).
a(x,y,(z \ (L(u,u,z) \ z)) \ 1) = a(x,y,L(u,u,z * z)).
(a(x,y,L(y,z,u)) \ L(y,z,u)) * ((L(L(y,y,x),z,u) \ L(y,z,u)) * w) = L(L(y,y,x),z,u) * ((L(y,z,u) / L(L(y,y,x),z,u)) * w).
a(L(L(x,x,y),z,u),a(y,x,L(x,z,u)),w) \ (L(x,z,u) * w) = L(L(x,x,y),z,u) * ((L(L(x,x,y),z,u) \ L(x,z,u)) * w).
L(L(x,y,z),x,u \ 1) = a(u,x,L(x,y,z)) * L(x,y,z).
a(x,y,L(y,z,u)) * L(y,z,u) = L(L(y,z,u),y,x \ 1).
a(x,y,L(y,z,u)) = a(x,y,L(L(y,z,u),y,x)).
a(x,y,L(L(y,z,u),y,x)) = a(x,y,L(y,z,u)).
a(x,L(y,z,z \ 1),L(y,L(y,z,z \ 1),x)) = a(x,L(y,z,z \ 1),L(L(y,z,z \ 1),z,z)).
a(x,L(y,z,z \ 1),L(L(y,z,z \ 1),z,z)) = a(x,L(y,z,z \ 1),L(y,L(y,z,z \ 1),x)).
a(x,y,((z * u) \ R(z,u,u)) \ 1) = a(x,y,L(u,u,z * z)).
a(x \ 1,y,L(y,x,z)) = (((z \ 1) / x) * R(x,y,y)) \ (z \ 1).
(((x \ 1) / y) * R(y,z,z)) \ (x \ 1) = a(y \ 1,z,L(z,y,x)).
a(x \ 1,y,L(y,x,z)) = a(x \ 1,y,L(y,x,z \ 1)).
a(x \ 1,y,L(y,x,z \ 1)) = a(x \ 1,y,L(y,x,z)).
a(x \ 1,y,L(y,x,z \ x)) = a(x \ 1,y,L(y,x,z)).
a(x \ 1,y,L(y,x,z)) = a(x \ a(x,x,z),y,y).
a(x \ a(x,x,y),z,z) = a(x \ 1,z,L(z,x,y)).
a(x,x,x) * a(y \ 1,x,L(x,y,z)) = a(x * (y \ a(y,y,z)),x,x).
a(x * (y \ a(y,y,z)),x,x) = a(x,x,x) * a(y \ 1,x,L(x,y,z)).
a(x,y,y) * R(a(x,y,L(y,z,z)),z,z) = a(x * x,y,L(y,z,z)).
a(x,x,a((y \ 1) * z,u,u)) = a(a((z \ u) * y,u,u),x,x).
a(a((x \ y) * z,y,y),u,u) = a(u,u,a((z \ 1) * x,y,y)).
a((x \ y) \ (L(y,z,u) \ y),y,y) = a(L(y,z,u) \ x,y,y).
a(x,y,y) * a(L(x,z,z),y,L(y,z,z)) = a(x * x,y,L(y,z,z)).
a((x * x) \ y,z,L(z,x,x \ (x \ 1))) = a((x \ 1) * (x \ y),z,z).
L(x,y,a(z,z,u) * T(a(z,z,u),w)) = L(x,y,a(z,z,u * u)).
L(x,y,a(z,z,u) * a(z,z,u)) = L(x,y,a(z,z,u * u)).
a(x * (y \ a(y,y,z)),x,x) = a(y,x,L(x,y,z)) \ a(x,x,x).
a(x * (y \ a(y,y,z)),x,x) = x \ L(R(x,x,x),x,L(y,y,z)).
a(x * (y \ a(y,y,z)),x,x) = x \ L(x,x,x \ L(y,y,z)).
a(x * (y \ a(y,y,z)),x,x) = x \ L(x,x,L(x \ y,y,z)).
L(x \ L(x,x,x \ y),y,z) = a(x * (y \ a(y,y,z)),x,x).
L(a(x \ y,y,y),x,z) = a(y * (x \ a(x,x,z)),y,y).
a(x * (y \ a(y,y,z)),x,x) = L(a(y \ x,x,x),y,z).
a(x \ y,y,L(y,x,z)) = a(y * (x \ a(x,x,z)),y,y).
a(x * (y \ a(y,y,z)),x,x) = a(y \ x,x,L(x,y,z)).
a(x \ y,y,L(y,x,z)) = a(x \ y,y,L(y,x,z \ x)).
a(x \ y,y,L(y,x,z \ x)) = a(x \ y,y,L(y,x,z)).
a(x \ y,y,L(y,x,z \ 1)) = a(x \ y,y,L(y,x,z)).
a(x \ y,y,L(y,x \ 1,z)) = a(x \ y,y,L(y,x,z)).
a(x,y,y) * a(y,z,u) = x \ R(x * a(y,z,u),y,y).
x \ R(x * a(y,z,u),y,y) = a(x,y,y) * a(y,z,u).
a(x,y,y) * a(y,z,u) = (a(y,z,u) / x) * R(x,y,y).
(a(x,y,z) / u) * R(u,x,x) = a(u,x,x) * a(x,y,z).
a(x,y,z) \ (a(u,x,x) * a(x,y,z)) = a(a(x,y,z) * u,x,x).
a(a(x,y,z) * u,x,x) = a(u,x,x).
a(x,y,y) = a(x * a(y,z,u),y,y).
a(x * a(y,z,u),y,y) = a(x,y,y).
a(x \ (y * z),x,x) = a((x \ y) * z,x,x).
a(x,y,y) \ y = L(y,y,a(y,z,u) * x).
L(x,x,a(x,y,z) * u) = a(u,x,x) \ x.
a(x,y,y) = a(x * a(z,y,y),y,y).
a(x * a(y,z,z),z,z) = a(x,z,z).
L(L(x * a(y,z,u),w,v5),v6,a(x,y,y)) = L(x * a(y,z,u),w,v5).
L(x,x,a(x,y,z) * u) = L(x,x,u).
L(x,x,x \ (y * z)) = L(x,x,(x \ y) * z).
R((x \ L(x,y,z)) * u,x,x) \ ((x \ L(x,y,z)) * u) = a(u \ 1,x,x).
a(((x \ L(x,y,z)) * u) \ 1,x,x) = a(u \ 1,x,x).
a(x,y,L(y,z,u)) * a(x,y,L(y,z,u)) = a(L(x,z,u) * L(x,z,u),y,y).
T(x / (a(y,y,z) * a(y,y,u)),a(y,y,z)) = y * (R(R(y,y,u),y,z) \ x).
a(x,y,L(y,z,u)) * a(x,y,L(y,z,u)) = a(x * x,y,L(y,z,u)).
x * (R(R(x,x,y),x,z) \ u) = (a(x,x,z) * a(x,x,y)) \ u.
(a(x,x,y) * a(x,x,z)) \ u = x * (R(R(x,x,z),x,y) \ u).
x * (R(R(x,x,y),x,y) \ y) = (L(y,x,x \ (x \ 1)) \ y) * y.
(L(x,y,y \ (y \ 1)) \ x) * x = y * (R(R(y,y,x),y,x) \ x).
(L(x,y,y \ (y \ 1)) \ x) * x = L(a(y,y,x) \ x,y,y).
L(a(x,x,y) \ y,x,x) = (L(y,x,x \ (x \ 1)) \ y) * y.
L(L(x,y,y),y,y) = (L(x,y,y \ (y \ 1)) \ x) * x.
a(L(x,y,z),R(u,u,w),L(u,u,w)) = a(x,R(u,u,w),L((w / (u * w)) \ 1,y,z)).
a(L(R(x,x,y),z,u),a(w,R(x,x,y),L((y / (x * y)) \ 1,v5,v6)),v7) = 1.
a(x,R(1 / y,y,z),R(1 / y,y,z)) = a(x,R(1 / y,y,z),T(y,z) \ 1).
a(x,R(1 / y,y,z),R(1 / y,y,z)) = a(x,R(1 / y,y,z),y \ 1).
a(x,L(1 / y,y,z),y \ 1) = a(x,R(1 / y,y,z),R(1 / y,y,z)).
a(x,R(1 / y,y,z),R(1 / y,y,z)) = a(x,L(1 / y,y,z),y \ 1).
a(x,R(1 / y,y,z),R(1 / y,y,z)) = a(x,L(y \ 1,y,z),y \ 1).
a(x,R(1 / y,y,z),R(1 / y,y,z)) = a(x,y \ 1,L(y \ 1,y,z)).
a(x,R(1 / y,y,z),R(1 / y,y,z)) = a(x,y \ 1,y \ 1).
a(a(x,y,z),R(1 / u,u,w),R(1 / u,u,w)) = a(a(x,y,z),u,u).
a(a(x,y,z),R(1 / u,u,w),L(1 / u,u,w)) = a(a(x,y,z),u,u).
a(a(x,y,z),u,u) = a(a(x,y,z),R(1 / u,u,w),L(u \ 1,u,w)).
a(a(x,y,z),R(1 / u,u,w),L(u \ 1,u,w)) = a(a(x,y,z),u,u).
a(a(x,y,z),L(1 / u,u,w),L(u \ 1,u,w)) = a(a(x,y,z),u,u).
a(a(x,y,y) \ x,y,L(y,L(x,y,y \ x),z)) * z = x * ((a(x,y,y) \ x) \ z).
a(x \ R(y,z,u),w,L(w,v5,v6)) = a(x \ L(y,z,u),w,L(w,v5,v6)).
a(x \ L(y,z,u),w,L(w,v5,v6)) = a(x \ R(y,z,u),w,L(w,v5,v6)).
a(x \ L(x,y,z),u,L(u,x,z * y)) = a(a(x,y,z),u,u).
a(a(x,y,z),u,u) = a(u,u,L(L(x,y,z) \ x,x,z * y)).
a(x,x,L(L(y,z,u) \ y,y,u * z)) = a(a(y,z,u),x,x).
a(L(x,y,z),L(u,u,w),L(u,u,w)) = a(x,R(u,u,w),L((w / (u * w)) \ 1,y,z)).
a(L(x,y,y \ x),y,L(y,L(x,y,y \ x),z)) * z = x * ((a(x,y,y) \ x) \ z).
a(x,y,L(y,L(x,y,y \ x),z)) * z = x * ((a(x,y,y) \ x) \ z).
a(x,y,L(y,x,z)) * z = x * ((a(x,y,y) \ x) \ z).
x * ((a(x,y,y) \ x) \ z) = R(x,y,y) * (x \ z).
(a(x,y,y) \ x) \ z = R(x,y,y) * (x \ (x \ z)).
R(x,y,y) * (x \ (x \ z)) = (a(x,y,y) \ x) \ z.
a((a(x,y,y) \ x) \ z,u,w) = a((x \ (x \ z)) * R(x,y,y),u,w).
a((x \ (x \ y)) * R(x,z,z),u,w) = a((a(x,z,z) \ x) \ y,u,w).
L(x,y,(a(z,u,u) \ z) \ w) = L(x,y,(z \ (z \ w)) * L(z,u,u)).
L(x,y,(z \ (z \ u)) * L(z,w,w)) = L(x,y,(a(z,w,w) \ z) \ u).
a(x,y,(a(z,u,u) \ z) \ w) = a(x,y,(z \ (z \ w)) * L(z,u,u)).
a(x,y,(z \ (z \ u)) * L(z,w,w)) = a(x,y,(a(z,w,w) \ z) \ u).
a(x,x,y) \ a(x,x,L(y,z,u)) = a(a(x,x,y),z,u).
a(a(x,x,y),z,u) * a(x,x,y) = a(x,x,L(y,z,u)).
a(a(x,x,y),z,u) \ 1 = a(x,x,L(y,z,u)) \ a(x,x,y).
a(x,x,L(y,z,u)) \ a(x,x,y) = a(a(x,x,y),z,u) \ 1.
R(a(a(x,x,y),z,u),x,w) = a(x,x,y) \ R(a(x,x,L(y,z,u)),x,w).
a(x,x,y) \ R(a(x,x,L(y,z,u)),x,w) = R(a(a(x,x,y),z,u),x,w).
a(a(x \ 1,x \ 1,y),z,u) = a(x,x \ 1,y) * a(x \ 1,x \ 1,L(y,z,u)).
a(x,x \ 1,y) * a(x \ 1,x \ 1,L(y,z,u)) = a(a(x \ 1,x \ 1,y),z,u).
a(x,x,y * z) \ a(x,x,(z \ 1) \ y) = a(a(x,x,y * z),z,y).
a(a(x,x,y),z,u) * w = a(x,x,L(y,z,u)) * (a(x,x,y) \ w).
a(x,x,L(y,z,u)) * (a(x,x,y) \ w) = a(a(x,x,y),z,u) * w.
a(x,x,y) \ a(x,x,L(y,y,L(z,u,w))) = a(a(x,x,y),L(y,u,w),z).
L(x,a(a(y,y,z),u,w),a(y,y,z)) = x.
a(a(x,x,y),z,u) \ w = a(x,x,L(y,z,u)) \ (a(x,x,y) * w).
a(x,x,L(y,z,u)) \ (a(x,x,y) * w) = a(a(x,x,y),z,u) \ w.
a(x,a(y,y,z),a(a(y,y,z),u,w)) = 1.
L(x,a(y,z,a(u,w,w)),a(w,w,u)) = x.
a(x,a(y,y,z \ y),a(a(z,y,y),u,w)) = 1.
1 = a(x,a(y,z,z),a(a(y,z,z),u,w)).
a(x,a(y,z,z),a(a(y,z,z),u,w)) = 1.
L(a(a(x,y,y),z,u),a(x,y,y),w) = a(a(x,y,y),z,u).
1 \ R(a(x,y,y),z,u) = a(x,y,y) * a(a(x,y,y),z,u).
a(x,y,y) * a(a(x,y,y),z,u) = 1 \ R(a(x,y,y),z,u).
a(x,y,a(z,u,u)) * a(u,u,z) = a(u,u,L(z,a(z,u,u) * y,x)).
a(x,x,L(y,a(y,x,x) * z,u)) = a(u,z,a(y,x,x)) * a(x,x,y).
R(x,y,y) * a(a(x,y,y),z,u) = x * (a(x,y,y) * a(a(x,y,y),z,u)).
x * (a(x,y,y) * a(a(x,y,y),z,u)) = R(x,y,y) * a(a(x,y,y),z,u).
x * (a(a(y,y,x),z,u) \ 1) = L(x * a(y,y,x),y,L(y,z,u)).
L(x * a(y,y,x),y,L(y,z,u)) = x * (a(a(y,y,x),z,u) \ 1).
a(x,y,y) * a(a(x,y,y),z,u) = 1 \ a(x,y,L(y,z,u)).
a(x,y,z) * u != 1 \ w | u = a(x,y,z) \ w.
a(a(x,y,y),z,u) = a(x,y,y) \ a(x,y,L(y,z,u)).
a(x,y,y) \ a(x,y,L(y,z,u)) = a(a(x,y,y),z,u).
a(x,y,y) * a(a(x,y,y),z,u) = a(x,y,L(y,z,u)).
a(a(x,y,y),z,u) * a(x,y,y) = a(x,y,L(y,z,u)).
a(x,y,L(y,z,u)) != w * a(a(x,y,y),z,u) | a(x,y,y) = w.
x * a(a(y,z,z),u,w) != a(y,z,L(z,u,w)) | a(y,z,z) = x.
a(x \ y,a(y,x,x),z) * a(y,x,x) = a(y,x,L(x,x \ y,z)).
a(a(x,x,y),z,u) \ w = (a(x,x,L(y,z,u)) \ a(x,x,y)) * w.
(a(x,x,L(y,z,u)) \ a(x,x,y)) * w = a(a(x,x,y),z,u) \ w.
(a(a(x,x,y),z,u) \ 1) * w = a(a(x,x,y),z,u) \ w.
a(a(x,x,y),z,u) \ 1 = w \ (a(a(x,x,y),z,u) \ w).
x \ (a(a(y,y,z),u,w) \ x) = a(a(y,y,z),u,w) \ 1.
a(a(x,x,y),z,u) \ w = w * (a(a(x,x,y),z,u) \ 1).
x * (a(a(y,y,z),u,w) \ 1) = a(a(y,y,z),u,w) \ x.
a(x,y,a(z,u,u)) * a(u,u,z) = a(u,u,L(z,y,x)).
x * a(y,y,z) != a(y,y,L(z,u,w)) | x = a(a(y,y,z),u,w).
a(x,y,a(z,u,u)) = a(a(u,u,z),y,x).
a(a(x,x,y),z,u) = a(u,z,a(y,x,x)).
a(x,x,L(y,z,u)) = a(x,x,y) * a(u,z,a(y,x,x)).
a(x,x,y) * a(z,u,a(y,x,x)) = a(x,x,L(y,u,z)).
a(x,y,a(z,u,u)) * w = w * a(a(u,u,z),y,x).
a(a(x,x,y),z,u) * w = w * a(u,z,a(y,x,x)).
a(x,y,a(y,z,z)) = a(y,a(z,z,y),x).
a(x,a(y,y,x),z) = a(z,x,a(x,y,y)).
a(x,y,a(z \ 1,u,u)) = a(a(z,u,u),y,x).
a(a(x,x,L(y,z,u)),w,v5) = a(v5,w,a(y,x,L(x,z,u))).
a(a(x,y,y),z,u) = a(u,z,a(y,y,x)).
a(x,y,a(z,z,u)) * w = w * a(a(u,z,z),y,x).
L(a(x,y,a(z,z,u)),w,v5) = R(a(a(u,z,z),y,x),w,v5).
L(a(a(x,y,y),z,u),w,u) = a(u,z,a(y,y,x)).
a(x,y,a(z,z,y)) = a(y,a(y,z,z),x).
a(x,a(x,y,y),z) = a(z,x,a(y,y,x)).
a(a(x,y,L(y,z,u)),w,v5) = a(v5,w,a(y,y,L(x,z,u))).
a(x,y,y) * a(z,u,a(y,y,x)) = a(x,y,L(y,u,z)).
x * y != (a(z,u,w) \ (x * v5)) * a(z,u,w) | y = v5.
a(a(x,x,y),z,u) \ (a(u,z,a(y,x,x)) * w) = w.
a(x,x,L(y,z,u)) * L(w,a(u,z,a(y,x,x)),a(x,x,y)) = a(x,x,y) * (a(u,z,a(y,x,x)) * w).
a(a(x,x,L(y,z,u)),y,x * L(x,z,u)) \ R(y,x,L(x,z,u)) = y * a(y,x,L(x,z,u)).
L(a(a(x,y,y),z,u),w,v5) = L(a(u,z,a(y,y,x)),w,v5).
R(1 / L(a(a(x,y,y),z,u),w,v5),a(a(x,y,y),z,u),L(v6,w,v5)) = v6 / (L(a(u,z,a(y,y,x)),w,v5) * v6).
a(x,x,y) \ a(x,x,L(L(y,z,u),x,w)) = R(a(a(x,x,y),z,u),x,w).
a(a(x,x,y),L(y,z,u),w) = a(a(x,x,y),y,L(w,z,u)).
a(a(x,x,y),L(y,z,u),w) = a(y,a(x,x,y),L(w,z,u)).
a(L(x,y,z),a(u,u,x),w) = a(x,a(u,u,x),L(w,y,z)).
a(x,x,y) \ a(x,x,L(y,z,u)) = R(a(a(x,x,y),z,u),x,w).
R(a(a(x,x,y),z,u),x,w) = a(x,x,y) \ a(x,x,L(y,z,u)).
R(a(a(x,x,y),z,u),x,w) = a(a(x,x,y),z,u).
L(a(a(x,x,y),z,u),x,w) = a(a(x,x,y),z,u).
(x * y) * a(a(x,x,z),u,w) = y * (T(x,y) * a(a(x,x,z),u,w)).
x * (T(y,x) * a(a(y,y,z),u,w)) = (y * x) * a(a(y,y,z),u,w).
L(a(a(x,y,y),z,u),y,w) = a(a(y,y,x \ 1),z,u).
L(a(x,y,a(z,u,u)),u,w) = a(a(u,u,z),y,x).
x * a(a(x,x,y),z,u) = (1 / x) \ a(u,z,a(y,x,x)).
(1 / x) \ a(y,z,a(u,x,x)) = x * a(a(x,x,u),z,y).
L(a(a(x,y,y),z,u),y,w) = a(a(x,y,y),z,u).
(x * y) / L(a(a(x,x,z),u,w) \ y,a(a(x,x,z),u,w),x) = (1 / x) \ a(w,u,a(z,x,x)).
x * T(y * a(a(y,y,z),u,w),x) = (y * x) * a(a(y,y,z),u,w).
(x * y) * a(a(x,x,z),u,w) = (x * a(a(x,x,z),u,w)) * y.
(x * a(a(x,x,y),z,u)) * w = (x * w) * a(a(x,x,y),z,u).
x * a(x,y,L(y,z,u)) = R(x,y,y) * a(a(x,y,y),z,u).
R(x,y,y) * a(a(x,y,y),z,u) = x * a(x,y,L(y,z,u)).
x * a(x,y,L(y,z,u)) != w * a(a(x,y,y),z,u) | R(x,y,y) = w.
x * a(a(y,z,z),u,w) != y * a(y,z,L(z,u,w)) | R(y,z,z) = x.
a(a(x \ 1,x \ 1,y),z,u) = a(x,x \ 1,L(y,z,u)) \ a(x,x \ 1,y).
a(x,x \ 1,L(y,z,u)) \ a(x,x \ 1,y) = a(a(x \ 1,x \ 1,y),z,u).
a(x,x \ 1,L(y,z,u)) \ a(x,x \ 1,y) = a(a(x,x,y),z,u).
((x \ 1) * y) \ ((x \ y) * R((x \ y) \ ((x \ 1) * y),z,u)) = a(a(x,x,y),z,u).
((x \ 1) * y) \ ((x \ y) * R(a(x \ 1,x \ 1,y),z,u)) = a(a(x,x,y),z,u).
((x \ 1) * y) \ ((x \ y) * a(x \ 1,x \ 1,L(y,z,u))) = a(a(x,x,y),z,u).
((x \ 1) * y) \ (a(x,x \ 1,L(y,z,u)) \ (x \ y)) = a(a(x,x,y),z,u).
a(a(x,x,y),z,u) = L((1 / x) * y,x,L(x,z,u)) \ (x \ y).
L((1 / x) * y,x,L(x,z,u)) \ (x \ y) = a(a(x,x,y),z,u).
a(x \ ((y \ x) * z),x,L(x,((y \ x) * z) \ x,x * x)) = a((z \ 1) * y,x,x) \ 1.
a((x \ 1) * y,z,z) \ 1 = a(z \ ((y \ z) * x),z,z).
a(x \ ((y \ x) * z),x,x) = a((z \ 1) * y,x,x) \ 1.
a(((x \ 1) * y) \ 1,z,z) = a(z \ ((y \ z) * x),z,z).
a(x \ ((y \ x) * z),x,x) = a(z * (y \ 1),x,x).
a(x * ((y \ z) \ 1),z,z) = a(z \ (x * y),z,z).
a(x \ (y * z),x,x) = a(((z \ x) \ 1) * y,x,x).
a(((x \ y) \ 1) * z,y,y) = a(y \ (z * x),y,y).
1 \ R(x,y,L(y,z,u)) = x * a(x,y,L(y,z,u)).
x * a(x,y,L(y,z,u)) = R(x,y,L(y,z,u)).
a(x,L(y,z,z \ 1),L(L(y,z,z \ 1),z,z)) = L(y,L(y,z,z \ 1),x) \ y.
a(x,L(y,z,z \ 1),y) = L(y,L(y,z,z \ 1),x) \ y.
L(x,L(x,y,y \ 1),z) \ x = a(z,L(x,y,y \ 1),x).
L(x,L(x,y,y \ 1),z) \ x = a(z,x,L(x,y,y \ 1)).
a(L(x,y,y),y \ ((y \ 1) \ z),K(y \ 1,y) \ z) = a(x,y \ ((y \ 1) \ z),y \ ((y \ 1) \ z)).
a((((x \ y) \ y) \ z) \ u,z,L(z,x \ z,x)) = a(((((x \ y) \ y) \ z) \ 1) * u,z,z).
a(((((x \ y) \ y) \ z) \ 1) * u,z,z) = a((x \ z) \ u,z,L(z,x \ z,x)).
a((x \ y) \ z,y,L(y,x \ y,x)) = a(((((x \ u) \ u) \ y) \ 1) * z,y,y).
a(((((x \ y) \ y) \ z) \ 1) * u,z,z) = a(z \ (x * u),z,z).
a(((((x \ y) \ y) \ z) \ 1) * u,z,z) = a((z \ x) * u,z,z).
a((x \ y) * z,x,x) = a(x \ (z * ((y \ u) \ u)),x,x).
a(x \ (y * ((z \ u) \ u)),x,x) = a((x \ z) * y,x,x).
a((x \ y) * z,x,x) = a((x \ z) * ((y \ u) \ u),x,x).
a((x \ y) * ((z \ u) \ u),x,x) = a((x \ z) * y,x,x).
a((x \ y) * z,x,x) = a(y * (x \ z),x,x).
a(x * (y \ z),y,y) \ y = L(y,y,(y \ x) * z).
a(((x \ y) * z) \ 1,x,x) = a(y * (x \ z),x,x) \ 1.
L(x,x,(x \ y) * z) = L(x,x,y * (x \ z)).
L(x,x,y * (x \ z)) = L(x,x,z * (x \ y)).
L(x,x,x \ (y * z)) = L(x,x,y * (x \ z)).
(x \ L(x,x,y * (x \ z))) \ x = (L(x,x,z * (x \ y)) \ x) * x.
a(x,y,L(z,z,u * (z \ w))) = a(x,y,L(z,z,u * w)).
x \ L(x,x,y * (x \ z)) = a((y * z) \ x,x,x).
a((x * (y \ z)) \ 1,y,y) = a(((y \ x) * z) \ 1,y,y).
a(((x \ y) * z) \ 1,x,x) = a((y * (x \ z)) \ 1,x,x).
a(x,x,y) \ a(x,x,L(y,y,z * u)) = a(a(x,x,y),y,z * (y \ u)).
a((L(x,y,z) * (x \ u)) \ 1,x,x) = a(u \ 1,x,x).
a(x \ 1,y,y) = a((y \ x) \ (L(y,z,u) \ 1),y,y).
a((x \ y) \ (L(x,z,u) \ 1),x,x) = a(y \ 1,x,x).
a(x \ 1,y,y) = a(y * (x \ (L(y,z,u) \ 1)),y,y).
a(x * (y \ (L(x,z,u) \ 1)),x,x) = a(y \ 1,x,x).
a(x \ 1,y,y) = a(x \ (L(y,z,u) \ y),y,y).
a(x \ (L(y,z,u) \ y),y,y) = a(x \ 1,y,y).
a((x \ y) \ 1,y,y) = a(L(y,z,u) \ x,y,y).
a(L(x,y,z) \ u,x,x) = a((u \ x) \ 1,x,x).
a(L(x,y,z) \ u,x,x) = a(x \ u,x,x).
a(L(R(x,y,z),u,w) \ R(v5,y,z),R(x,y,z),R(x,y,z)) = a(R(x \ v5,y,z),R(x,y,z),R(x,y,z)).
x * a(x \ y,x,x) = L(x,x,y \ L(x,z,u)).
L(x,x,y \ L(x,z,u)) = x * a(x \ y,x,x).
L(x,x,y \ L(x,z,u)) = L(x,x,y \ x).
L(x,x,(y \ 1) \ x) = L(x,x,L(x,z,u) * y).
L(x,x,L(x,y,z) * u) = L(x,x,(u \ 1) \ x).
L(x,x,L(x,y,z) * u) = L(x,x,x * u).
L(x,x,y) = L(x,x,x * (L(x,z,u) \ y)).
L(x,x,x * (L(x,y,z) \ u)) = L(x,x,u).
L(x,x,L(x,y,z) \ u) = L(x,x,x \ u).
a(x \ y,y,y) * y = L(y,y,L(y,z,u) \ x).
L(x,x,L(x,y,z) \ u) = a(u \ x,x,x) * x.
a(x \ L(y,z,u),y,y) = a(x \ y,y,y).
a((x \ 1) \ y,y,y) = a(L(y,z,u) * x,y,y).
a(L(x,y,z) * u,x,x) = a((u \ 1) \ x,x,x).
a(L(x,y,z) * u,x,x) = a(x * u,x,x).
a(x * y,x,x) = a(R(x,z,u) * y,x,x).
a(R(x,y,z) * u,x,x) = a(x * u,x,x).
a((x * y) \ z,z,z) \ z = (L(z,z,y * (z \ x)) \ z) * z.
(L(x,x,y * (x \ z)) \ x) * x = a((z * y) \ x,x,x) \ x.
(L(x,x,y * (x \ z)) \ x) * x = L(x,x,(z * y) \ x).
a(x * (y \ z),y,y) * y = L(y,y,(z * x) \ y).
a(x * a(y,y,z),y,y) * y = L(y,y,(R(y,y,z) * x) \ y).
L(x,x,(R(x,x,y) * z) \ x) = a(z * a(x,x,y),x,x) * x.
a(x * (a(y,z,z) * a(z,z,u)),L(z,z,y),L(z,z,y)) * L(z,z,y) = L(L(z,z,y),L(z,z,y),(R(z,z,u) * x) \ L(z,z,y)).
L(x,x,(R(x,x,y) * z) \ x) = a(z,x,x) * x.
a(a(x,x,y),y,z * (y \ u)) = a(a(x,x,y),y,z * u).
a(a(x,x,y),y,z * (y \ u)) = a(y,a(x,x,y),z * u).
a(x,a(y,y,x),z * u) = a(x,a(y,y,x),z * (x \ u)).
a(x,a(y,y,x),z * (x \ u)) = a(x,a(y,y,x),z * u).
a(L(x,y,z),u,L(u,L(L(u,y,z),u,x),z * y)) = ((z * y) * L(L(u,y,z),u,x)) \ (z * (y * u)).
a(x,x,L(y,z,u)) * w = a(x,x,y) * (a(u,z,a(y,x,x)) * w).
a(x,x,y) * (a(z,u,a(y,x,x)) * w) = a(x,x,L(y,u,z)) * w.
a(L(x,y,y),y \ ((y \ 1) \ z),K(y,y \ 1) * z) = a(x,y \ ((y \ 1) \ z),y \ ((y \ 1) \ z)).
a(x,y \ ((y \ 1) \ z),y \ ((y \ 1) \ z)) = a(L(x,y,y),y \ ((y \ 1) \ z),z).
a(x,y \ ((y \ 1) \ z),y \ ((y \ 1) \ z)) = a(L(x,y,y),L(z,y,y),z).
a(x,y \ ((y \ 1) \ z),y \ ((y \ 1) \ z)) = a(L(x,y,y),z,L(z,y,y)).
a(L(x,y,y),z,L(z,y,y)) = a(x,y \ ((y \ 1) \ z),L(z,y,y)).
a(x,y \ ((y \ 1) \ z),L(z,y,y)) = a(L(x,y,y),z,L(z,y,y)).
a(L(x,y,y),z,L(z,y,y)) = a(x,L(z,y,y),L(z,y,y)).
a(R(L(x,y,z) \ u,w,v5),R(x,w,v5),R(x,w,v5)) = a(R(x \ u,w,v5),R(x,w,v5),R(x,w,v5)).
a(R(L(x,y,z) \ u,w,v5),R(x,w,v5),L(x,w,v5)) = a(R(x \ u,w,v5),R(x,w,v5),R(x,w,v5)).
a(R(L(x,y,z) \ u,w,v5),L(x,w,v5),L(x,w,v5)) = a(R(x \ u,w,v5),R(x,w,v5),R(x,w,v5)).
a(L(L(x,y,z) \ u,w,v5),L(x,w,v5),L(x,w,v5)) = a(R(x \ u,w,v5),R(x,w,v5),R(x,w,v5)).
a(R(x \ y,z,u),R(x,z,u),R(x,z,u)) = a(L(x,w,v5) \ y,L(x,z,u),L(L(x,z,u),z,u)).
a(L(x,y,z) \ u,L(x,w,v5),L(L(x,w,v5),w,v5)) = a(R(x \ u,w,v5),R(x,w,v5),R(x,w,v5)).
R(L(a(a(x,y,y),z,u),w,v5) \ 1,a(a(x,y,y),z,u),L(v6,w,v5)) = v6 / (L(a(u,z,a(y,y,x)),w,v5) * v6).
L((x \ (a(y,y,x) \ L(x,y,y))) \ z,x \ L(x,y,y),(x \ L(x,y,y)) \ 1) = (x \ L(x,y,y)) \ ((x \ L(x,y,y)) \ z).
L(R(x,y \ 1,y * x),L(x,y,y \ 1),z) \ L(R(x,y,y \ 1),y,x) = a(z,R(x,y,y \ 1),L(R(x,y,y \ 1),y,x)).
L((x \ L(L(x,y,y),y,y)) \ z,x \ L(x,y,y),(x \ L(x,y,y)) \ 1) = (x \ L(x,y,y)) \ ((x \ L(x,y,y)) \ z).
L((x \ L(L(x,y,y),y,y)) \ z,x \ L(x,y,y),a(y,y,x) * 1) = (x \ L(x,y,y)) \ ((x \ L(x,y,y)) \ z).
L((x \ L(L(x,y,y),y,y)) \ z,x \ L(x,y,y),a(y,y,x)) = (x \ L(x,y,y)) \ ((x \ L(x,y,y)) \ z).
(x \ L(x,y,y)) \ ((x \ L(x,y,y)) \ z) = L((x \ L(L(x,y,y),y,y)) \ z,a(x,y,y),a(y,y,x)).
L((x \ L(L(x,y,y),y,y)) \ z,a(x,y,y),a(y,y,x)) = (x \ L(x,y,y)) \ ((x \ L(x,y,y)) \ z).
(x \ L(x,y,y)) \ ((x \ L(x,y,y)) \ z) = (x \ L(L(x,y,y),y,y)) \ z.
(x \ L(x,y,y)) \ (a(y,y,x) * z) = (x \ L(L(x,y,y),y,y)) \ z.
(x \ L(L(x,y,y),y,y)) \ z = a(y,y,x) * (a(y,y,x) * z).
(a(x,x,y) * (a(x,x,y) * z)) \ z = y \ L(L(y,x,x),x,x).
x \ L(L(x,y,y),y,y) = z \ ((x \ L(x,y,y \ (y \ 1))) \ z).
x \ L(L(x,y,y),y,y) = L(x,y,y \ (y \ 1)) \ x.
L(x,y,y \ (y \ 1)) \ x = x \ L(L(x,y,y),y,y).
L(R(x,y \ 1,y * x),L(x,y,y \ 1),z) \ R(x,y \ 1,y * x) = a(z,R(x,y,y \ 1),L(R(x,y,y \ 1),y,x)).
a(x,R(y,z,z \ 1),L(R(y,z,z \ 1),z,y)) = R(L(y,L(y,z,z \ 1),x) \ y,z \ 1,z * y).
R(L(x,L(x,y,y \ 1),z) \ x,y \ 1,y * x) = a(z,R(x,y,y \ 1),L(R(x,y,y \ 1),y,x)).
R(a(x,y,L(y,z,z \ 1)),z \ 1,z * y) = a(x,R(y,z,z \ 1),L(R(y,z,z \ 1),z,y)).
a(x,R(y,z,z \ 1),L(R(y,z,z \ 1),z,y)) = R(a(x,y,L(y,z,z \ 1)),z \ 1,z * y).
a(L(x,y,y \ 1),z,L(z,y \ 1,y * z)) = a(x,R(z,y,y \ 1),L(R(z,y,y \ 1),y,z)).
a(x,R(y,z,z \ 1),L(R(y,z,z \ 1),z,y)) = a(L(x,z,z \ 1),y,L(y,z \ 1,z * y)).
a(x,R(y,z,z \ 1),L(R(y,z,z \ 1),z,y)) = a(L(x,z,z \ 1),y,L(y,z,z \ 1)).
a(x,R(y,z,z \ 1),R(y,z \ 1,z * y)) = a(L(x,z,z \ 1),y,L(y,z,z \ 1)).
a(L(x,y,y \ 1),z,L(z,y,y \ 1)) = a(x,R(z,y,y \ 1),L(z,y,y \ 1)).
a(x,L(y,z,z \ 1),L(y,z,z \ 1)) = a(L(x,z,z \ 1),y,L(y,z,z \ 1)).
a(L(x,y,y \ 1),z,L(z,y,y \ 1)) = a(x,L(z,y,y \ 1),L(z,y,y \ 1)).
(x \ ((x / y) * L(y,z,u))) * K(y \ L(y,z,u),w) = T(((x / y) * L(y,z,u)) / x,T(w,(x / y) * L(y,z,u))).
T(((x / y) * L(y,z,u)) / x,T(w,(x / y) * L(y,z,u))) = (x \ ((x / y) * L(y,z,u))) * K(y \ L(y,z,u),w).
T(((x / y) * L(y,z,u)) / x,T(w,(x / y) * L(y,z,u))) = (x \ ((x / y) * L(y,z,u))) * 1.
x \ ((x / y) * L(y,z,u)) = T(((x / y) * L(y,z,u)) / x,T(w,(x / y) * L(y,z,u))).
T(((x / y) * L(y,z,u)) / x,T(w,(x / y) * L(y,z,u))) = x \ ((x / y) * L(y,z,u)).
T(((x / y) * L(y,z,u)) / x,w) = x \ ((x / y) * L(y,z,u)).
T(x \ ((x / y) * L(y,z,u)),w) = x \ ((x / y) * L(y,z,u)).
x / (y \ ((y / z) * L(z,u,w))) = (y \ ((y / z) * L(z,u,w))) \ x.
L(a(x,x,y) * L(y \ L(y,x,x),z,u),R(x,x,y) \ x,w) = w \ ((w / (R(x,x,y) \ x)) * L(R(x,x,y) \ x,z,u)).
L(a(x,x,L(y,z,u)) \ a(x,x,y),R(x,x,y) \ x,w) = w \ ((w / (R(x,x,y) \ x)) * L(R(x,x,y) \ x,z,u)).
L(a(a(x,x,y),z,u) \ 1,R(x,x,y) \ x,w) = w \ ((w / (R(x,x,y) \ x)) * L(R(x,x,y) \ x,z,u)).
x \ ((x / (R(y,y,z) \ y)) * L(R(y,y,z) \ y,u,w)) = L(a(a(y,y,z),u,w) \ 1,R(y,y,z) \ y,x).
x \ ((x / (R(y,y,z) \ y)) * L(R(y,y,z) \ y,u,w)) = L(a(a(y,y,z),u,w) \ 1,a(z,y,y),x).
x \ (((R(y,y,z) \ y) \ x) * L(R(y,y,z) \ y,u,w)) = L(a(a(y,y,z),u,w) \ 1,a(z,y,y),x).
x \ ((a(y,y,z) * x) * L(R(y,y,z) \ y,u,w)) = L(a(a(y,y,z),u,w) \ 1,a(z,y,y),x).
x \ (a(y,y,L(z,u,w)) \ (a(y,y,z) * x)) = L(a(a(y,y,z),u,w) \ 1,a(z,y,y),x).
x \ (a(a(y,y,z),u,w) \ x) = L(a(a(y,y,z),u,w) \ 1,a(z,y,y),x).
L(a(a(x,x,y),z,u) \ 1,a(y,x,x),w) = w \ (a(a(x,x,y),z,u) \ w).
L(a(a(x,x,y),z,u) \ 1,a(y,x,x),w) = a(a(x,x,y),z,u) \ 1.
a(L(x,a(y \ 1,z,z \ 1),a(z,z,y \ 1)) * (z * ((y * z) \ y)),u,w) = a((a(y \ 1,z,z \ 1) \ 1) \ x,u,w).
a(L(x,a(y,y,z \ 1),a(y,y,z \ 1)) * (y * ((z * y) \ z)),u,w) = a((a(z \ 1,y,y \ 1) \ 1) \ x,u,w).
a(L(x,a(y,y,z),a(y,y,z)) * (y * ((z * y) \ z)),u,w) = a((a(z \ 1,y,y \ 1) \ 1) \ x,u,w).
a((a(x \ 1,y,y \ 1) \ 1) \ z,u,w) = a(L(z,a(y,y,x),a(y,y,x)) * (y * (x \ (x / y))),u,w).
a(L(x,a(y,y,z),a(y,y,z)) * (y * (z \ (z / y))),u,w) = a((a(z \ 1,y,y \ 1) \ 1) \ x,u,w).
a((a(x \ 1,y,y \ 1) \ 1) \ z,u,w) = a(L(z,a(y,y,x),a(y,y,x)) * (x \ L(x,y,y)),u,w).
a(L(x,a(y,y,z),a(y,y,z)) * (z \ L(z,y,y)),u,w) = a((a(z \ 1,y,y \ 1) \ 1) \ x,u,w).
a(a(x,x,y) \ z,u,w) = a((a(y \ 1,x,x \ 1) \ 1) \ z,u,w).
a((a(x \ 1,y,y \ 1) \ 1) \ z,u,w) = a(a(y,y,x) \ z,u,w).
a(a((x \ 1) \ 1,y,y \ 1) \ z,u,w) = a(a(y,y,x) \ z,u,w).
a(a(x,y,y \ 1) \ z,u,w) = a(a(y,y,x) \ z,u,w).
a(a(x \ 1,y,y \ 1) * z,u,w) = a(a(y,y,x) \ z,u,w).
a(a(x,x,y \ x) \ z,u,w) = a((y \ L(y,x,x)) \ z,u,w).
a(a(x,x,y \ x) \ z,u,w) = a((x * L(x \ 1,x,y)) \ z,u,w).
a((x * L(x \ 1,x,y)) \ z,u,w) = a(a(x,x,y \ x) \ z,u,w).
a(a(x,x,y \ x) \ z,u,w) = a(a(x,x,y) * z,u,w).
a(a(x,x,y) * z,u,w) = a(z * a(y \ x,x,x),u,w).
a(x * a(y \ z,z,z),u,w) = a(a(z,z,y) * x,u,w).
a(a(x,x,y) * z,u,w) = a(a(y,x,x) \ z,u,w).
a(a(x,y,y) \ z,u,w) = a(a(y,y,x) * z,u,w).
a((1 / L(x,x,y)) \ z,u,w) = a(a(x,x,y) * ((1 / x) \ z),u,w).
a(a(x,x,y) * ((1 / x) \ z),u,w) = a((1 / L(x,x,y)) \ z,u,w).
a((x * L(x \ 1,x,y)) \ z,u,w) = a(a(x,x,y) * z,u,w).
a(a(x,y,y \ 1) * z,u,w) = a(a(y,y,x) * z,u,w).
a(a(x,x,y) * z,u,w) = a(z * a(y,x,x \ 1),u,w).
a(x * a(y,z,z \ 1),u,w) = a(a(z,z,y) * x,u,w).
a((a(x,y,y \ 1) * z) * T(u,z),w,v5) = a(a(y,y,x) * ((u * z) * a(a(x,y,y \ 1),z,u)),w,v5).
a(a(x,x,y) * ((z * u) * a(a(y,x,x \ 1),u,z)),w,v5) = a((a(y,x,x \ 1) * u) * T(z,u),w,v5).
a(a(x,x,y \ 1) * z,u,w) = a(a(x,x,y) \ z,u,w).
a(a(x,x,y \ 1) * z,u,w) = a(z * a(y,x,x),u,w).
a(a(x,x,y) * ((1 / x) \ z),u,w) = a((L(x,x,y) \ 1) \ z,u,w).
a(R(1 / x,x,y) \ z,u,w) = a((L(x,x,y) \ 1) \ z,u,w).
a(L(1 / x,x,y) \ z,u,w) = a((L(x,x,y) \ 1) \ z,u,w).
a((L(x,x,y) \ 1) \ z,u,w) = a(L(x \ 1,x,y) \ z,u,w).
a(L(x \ 1,x,y) \ z,u,w) = a((L(x,x,y) \ 1) \ z,u,w).
a(a(x,x,y) * ((z * u) * a(a(y,x,x \ 1),u,z)),w,v5) = a(z * (a(y,x,x \ 1) * u),w,v5).
a(a(x,x,y) * ((z * u) * a(a(x,x,y),u,z)),w,v5) = a(z * (a(y,x,x \ 1) * u),w,v5).
a((a(x,x,y) * z) * T(u,z),w,v5) = a(u * (a(y,x,x \ 1) * z),w,v5).
a(x * (a(y,y,z) * u),w,v5) = a(x * (a(z,y,y \ 1) * u),w,v5).
a(x * (a(y,z,z \ 1) * u),w,v5) = a(x * (a(z,z,y) * u),w,v5).
a(x * (a(y,y,z) * u),w,v5) = a(x * (u * a(z,y,y \ 1)),w,v5).
a(x * (y * a(z,u,u \ 1)),w,v5) = a(x * (a(u,u,z) * y),w,v5).
a(x,y,L(z,a(u \ 1,w,w \ 1),a(w,w,u \ 1)) * (w * ((u * w) \ u))) = a(x,y,(a(u \ 1,w,w \ 1) \ 1) \ z).
a(x,y,L(z,a(u,u,w \ 1),a(u,u,w \ 1)) * (u * ((w * u) \ w))) = a(x,y,(a(w \ 1,u,u \ 1) \ 1) \ z).
a(x,y,L(z,a(u,u,w),a(u,u,w)) * (u * ((w * u) \ w))) = a(x,y,(a(w \ 1,u,u \ 1) \ 1) \ z).
a(x,y,(a(z \ 1,u,u \ 1) \ 1) \ w) = a(x,y,L(w,a(u,u,z),a(u,u,z)) * (u * (z \ (z / u)))).
a(x,y,L(z,a(u,u,w),a(u,u,w)) * (u * (w \ (w / u)))) = a(x,y,(a(w \ 1,u,u \ 1) \ 1) \ z).
a(x,y,(a(z \ 1,u,u \ 1) \ 1) \ w) = a(x,y,L(w,a(u,u,z),a(u,u,z)) * (z \ L(z,u,u))).
a(x,y,L(z,a(u,u,w),a(u,u,w)) * (w \ L(w,u,u))) = a(x,y,(a(w \ 1,u,u \ 1) \ 1) \ z).
a(x,y,a(z,z,u) \ w) = a(x,y,(a(u \ 1,z,z \ 1) \ 1) \ w).
a(x,y,(a(z \ 1,u,u \ 1) \ 1) \ w) = a(x,y,a(u,u,z) \ w).
a(x,y,a((z \ 1) \ 1,u,u \ 1) \ w) = a(x,y,a(u,u,z) \ w).
a(x,y,a(z,u,u \ 1) \ w) = a(x,y,a(u,u,z) \ w).
a(x,y,a(z,z,u \ z) \ w) = a(x,y,(u \ L(u,z,z)) \ w).
a(x,y,a(z,z,u \ z) \ w) = a(x,y,(z * L(z \ 1,z,u)) \ w).
a(x,y,(z * L(z \ 1,z,u)) \ w) = a(x,y,a(z,z,u \ z) \ w).
a(x,y,a(z,z,L(u,w,v5)) \ (w * v5)) = a(x,y,(a(u,z,z \ 1) \ w) * v5).
a(x,y,a(z,z,u) \ L(w \ 1,w,a(u,z,z))) = a(x,y,w \ a(u \ 1,z,z \ 1)).
a(x,y,a(z,z,u \ z) \ w) = a(x,y,a(z,z,u) * w).
a(x,y,(z * L(z \ 1,z,u)) \ w) = a(x,y,a(z,z,u) * w).
a(x,y,a(z,z,u) * w) = a(x,y,(L(z \ 1,z,u) * z) \ w).
a(x,y,(L(z \ 1,z,u) * z) \ w) = a(x,y,a(z,z,u) * w).
a(x,y,a(z,u,u \ 1) * w) = a(x,y,a(u,u,z) * w).
a(x,y,z * a(u,w,w \ 1)) = a(x,y,a(w,w,u) * z).
a(x,y,a(z,z,z * u) * (z \ (u \ z))) = a(x,y,L(z \ (u \ z),z,z)).
a(x,y,a(z * u,z,z \ 1) * w) = a(x,y,a(z,z,u) * w).
a(x,y,a(z,z,u) * w) = a(x,y,a(z,z,z * u) * w).
a(x,y,a(z,z,z * u) * w) = a(x,y,a(z,z,u) * w).
a(x,y,L(z \ (u \ z),z,z)) = a(x,y,a(z,z,u) * (z \ (u \ z))).
a(x,y,a(z,z,u) * (z \ (u \ z))) = a(x,y,L(z \ (u \ z),z,z)).
a(x,y,z \ (L(u,z,z) \ z)) = a(x,y,L(z \ (u \ z),z,z)).
a(x,y,L(z \ (u \ z),z,z)) = a(x,y,z \ (L(u,z,z) \ z)).
a(x,y,L(z \ (u \ z),z,z)) = a(x,y,((z \ 1) \ u) \ z).
a(x,y,(a(z,z,u) \ w) * v5) = a(x,y,(a(u,z,z \ 1) \ w) * v5).
a(x,y,(a(z,u,u \ 1) \ w) * v5) = a(x,y,(a(u,u,z) \ w) * v5).
a(x,y,(a(z,z,u) \ w) * v5) = a(x,y,v5 * (a(u,z,z \ 1) \ w)).
a(x,y,z * (a(u,w,w \ 1) \ v5)) = a(x,y,(a(w,w,u) \ v5) * z).
a(x,y,z * (a(u,w,w \ 1) \ v5)) = a(x,y,(a(u,w,w) * v5) * z).
a(x,y,z \ a(u \ 1,u,w)) = a(x,y,z \ a(w \ 1,u,u \ 1)).
a(x,y,z \ a(u \ 1,w,w \ 1)) = a(x,y,z \ a(w \ 1,w,u)).
R(x * x,y,z) * ((R(x,y,z) * L(x,u,w)) \ L(x,u,w)) = L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)).
L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)) = R(x * x,y,z) * ((R(x,y,z) * L(x,u,w)) \ L(x,u,w)).
L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)) = R(x * x,y,z) * R(T(x \ 1,x),y,z).
L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)) = R((x * x) * T(x \ 1,x),y,z).
L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)) = R(x * (x * T(1 / x,x)),y,z).
L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)) = R(x * 1,y,z).
L(R(x,y,z),R(x,y,z) \ 1,R(x,y,z) \ L(x,u,w)) = R(x,y,z).
L(x,y,z) / R(x,u,w) = L(x,y,z) * (R(x,u,w) \ 1).
L(x,y,z) * (R(x,u,w) \ 1) = L(x,y,z) / R(x,u,w).
L(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ L(x,y,z).
L(1 / x,y,z) * R(x,u,w) = R(1 / x,u,w) \ L(1 / x,y,z).
R(1 / x,y,z) \ L(1 / x,u,w) = L(1 / x,u,w) * R(x,y,z).
a(x,x,y) * ((a(x,x,L(y,z,u)) \ a(x,x,y)) \ R(a(x,x,y) \ w,x,v5)) = (L(a(x,x,y),z,u) \ a(x,x,y)) \ R(w,x,v5).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = (z \ L(L(z,y,y),y,y)) \ ((L(L(z,y,y),y,y) \ z) \ x).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = (z \ L(L(z,y,y),y,y)) \ ((a(y,y,z) * a(y,y,z)) \ x).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = (z \ L(L(z,y,y),y,y)) \ (y * (R(R(y,y,z),y,z) \ x)).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = a(y,y,z) * (a(y,y,z) * (y * (R(R(y,y,z),y,z) \ x))).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = a(y,y,z) * (R(y,y,z) * (R(R(y,y,z),y,z) \ x)).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = a(y,y,z) * (a(y,y,z) \ x).
L(x,R(y * y,y,z) \ (y * y),z \ L(L(z,y,y),y,y)) = x.
L(x,R(y * y,y,z) \ (y * y),R(y * y,y,z) \ (y * y)) = x.
(R(x * x,x,y) \ (x * x)) * z = (1 / (R(x * x,x,y) \ (x * x))) \ z.
(1 / (R(x * x,x,y) \ (x * x))) \ z = (R(x * x,x,y) \ (x * x)) * z.
((R(x * x,x,y) \ (x * x)) \ 1) \ z = (R(x * x,x,y) \ (x * x)) * z.
((x * x) \ R(x * x,x,y)) \ z = (R(x * x,x,y) \ (x * x)) * z.
(x \ (x \ R(x * x,x,y))) \ z = (R(x * x,x,y) \ (x * x)) * z.
(R(x * x,x,y) \ (x * x)) * R(R(x,x,y),x,y) = x.
a(x,y,L(((z * (u * w)) \ 1) * (w * T(z,u * w)),w * z,z * (u * w))) = a(x,y,R(T(u,z * w),w,z) \ 1).
a(x,y,R(T(z,u * w),w,u) \ 1) = a(x,y,L(((u * (z * w)) \ 1) * (w * u),w * u,u * (z * w))).
a(x,y,L(((z * (u * w)) \ 1) * (w * z),w * z,z * (u * w))) = a(x,y,R(T(u,z * w),w,z) \ 1).
a(x,y,R(T(z,u * w),w,u) \ 1) = a(x,y,((w * u) \ (u * (z * w))) \ 1).
a(x,y,((z * u) \ (u * (w * z))) \ 1) = a(x,y,R(T(w,u * z),z,u) \ 1).
a(x,y,R(T(z,u * w),w,u) \ 1) = a(x,y,L(z,w,u) \ 1).
a(x,y,R(T(z,u * w) \ 1,w,u)) = a(x,y,L(z,w,u) \ 1).
a(x,y,L(z,u,w) \ 1) = a(x,y,L(z \ 1,u,w)).
a(x,y,L(z \ 1,u,w)) = a(x,y,L(z,u,w) \ 1).
a(x,y,L(z \ 1,z,u)) = a(x,y,z \ a(u,z,z)).
a(x,y,L(z \ (u \ z),u,z)) = a(x,y,u \ a(z * z,u,u)).
R(L(x,y,z),R(u,y,z),R(u,y,z)) * (L(x,y,z) \ L(w,y,z)) = a(L(x,y,z),R(u,y,z),L(L(u,y,z),x,w)) * L(w,y,z).
R(L(x,y,z),R(u,y,z),R(u,y,z)) * (L(x,y,z) \ L(w,y,z)) = a(L(x,y,z),L(u,y,z),L(L(u,y,z),x,w)) * L(w,y,z).
R(L(x,y,z),R(u,y,z),R(u,y,z)) * (L(x,y,z) \ L(x,y,z)) = a(x,L(u,y,z),L(L(u,y,z),y,z)) * L(x,y,z).
R(x * L(y,x,y),T(x,y),y) \ (T(x,y) * T(y,x * y)) = a((T(x,y) * T(y,x * y)) \ 1,T(x,y),T(y,x * y)).
R(x * L(y,x,y),x,y) \ (T(x,y) * T(y,x * y)) = a((T(x,y) * T(y,x * y)) \ 1,T(x,y),T(y,x * y)).
a((T(x,y) * T(y,x * y)) \ 1,T(x,y),T(y,x * y)) = R(x * L(y,x,y),x,y) \ (T(x,y) * T(y,x * y)).
a((T(x,y) * T(y,x * y)) \ 1,T(x,y),T(y,x * y)) = (R(x,x,y) * y) \ (T(x,y) * T(y,x * y)).
a((T(x,y) * T(y,x * y)) \ 1,T(x,y),T(y,x * y)) = (R(x,x,y) * y) \ (x * L(y,x,y)).
a((x * L(y,x,y)) \ 1,T(x,y),T(y,x * y)) = (R(x,x,y) * y) \ (x * L(y,x,y)).
(R(x,x,y) * y) \ (x * L(y,x,y)) = a((x * L(y,x,y)) \ 1,T(x,y),y).
a((x * L(y,x,y)) \ 1,T(x,y),y) = (R(x,x,y) * y) \ (x * L(y,x,y)).
(R(x,x,y) * y) \ (x * L(y,x,y)) = a((x * L(y,x,y)) \ 1,x,y).
(R(x,x,y) * y) \ (x * L(y,x,y)) = a((x * y) \ 1,x,y).
a((x * y) \ 1,x,y) = y \ L(L(y,x,y),x,x).
x \ L(L(x,y,x),y,y) = a((y * x) \ 1,y,x).
x \ L(L(x,y,x),y,y) = a(y \ (x \ 1),y,x).
a(x \ (y \ 1),x,y) = (y / T(y * x,y)) * x.
(x / T(x * y,x)) * y = a(y \ (x \ 1),y,x).
L(x,y,x) * (y * R(y \ 1,y,x)) = x * a(y \ (x \ 1),y,x).
a(x,y,z \ L(z,u \ K(z,z * u),u \ K(z,z * u))) = a(x,y,a(u \ (z \ 1),u,z)).
L(x,y,x) * (y * R(y \ 1,y,x)) = a(y * x,y,x) \ x.
L(x,y,x) * (R(y,y,x) \ y) = a(y * x,y,x) \ x.
a(x * y,x,y) \ y = a(x,x,y) \ L(y,x,y).
a(x,x,y) \ L(y,x,y) = a(x * y,x,y) \ y.
a(x * y,x,y) \ y = L(L(y,x,y),x,x).
L(L(x,y,x),y,y) = a(y * x,y,x) \ x.
a(x,y,z \ L(z,u \ K(z,u * z),u \ K(z,z * u))) = a(x,y,a(u \ (z \ 1),u,z)).
a(x,y,z \ L(z,u \ K(z,u * z),u \ 1)) = a(x,y,a(u \ (z \ 1),u,z)).
a(x,y,z \ L(z,u \ 1,u \ 1)) = a(x,y,a(u \ (z \ 1),u,z)).
a(x,y,a(z,z \ 1,u)) = a(x,y,a(z \ (u \ 1),z,u)).
a(x,y,a(z \ (u \ 1),z,u)) = a(x,y,a(z,z \ 1,u)).
a(x,y,a(z \ (u \ 1),z,u)) = a(x,y,a(u,z,z)).
L(T(x,x \ y) \ L(T(x,x \ y),x \ 1,y),T(x,x \ y),z) = R(x \ ((y * (1 / x)) \ y),T(x,x \ y),z).
L(T(x,x \ y) \ L(T(x,x \ y),x \ 1,y),T(x,x \ y),z) = R(x \ (y \ (y / (x \ 1))),T(x,x \ y),z).
L(T(x,x \ y) \ L(T(x,x \ y),x \ 1,y),T(x,x \ y),z) = R(x * ((y * x) \ y),T(x,x \ y),z).
L(T(x,x \ y) \ L(T(x,x \ y),x \ 1,y),T(x,x \ y),z) = R(x * ((y * x) \ y),x,z).
L(T(x,x \ y) \ (T(y * (1 / x),x) \ y),T(x,x \ y),z) = R(x * ((y * x) \ y),x,z).
L(x \ ((y * (1 / x)) \ y),T(x,x \ y),z) = R(x * ((y * x) \ y),x,z).
L(x \ (y \ (y / (x \ 1))),T(x,x \ y),z) = R(x * ((y * x) \ y),x,z).
L(x * ((y * x) \ y),T(x,x \ y),z) = R(x * ((y * x) \ y),x,z).
R(x * ((y * x) \ y),x,z) = L(x * ((y * x) \ y),x,z).
L(x * ((y * x) \ y),x,z) = R(x * ((y * x) \ y),x,z).
L(x * ((y * x) \ y),x,x \ z) * z = L(T(x,u),x \ 1,y) * (T(x,u) \ z).
L(T(x,y),x \ 1,z) * (T(x,y) \ u) = L(x * ((z * x) \ z),x,x \ u) * u.
L(x * ((y * x) \ y),x,z) = R(y,u \ (x \ u),x) \ y.
L(x * ((y * x) \ y),x,z) = R(y,x,x \ 1) \ y.
L(x * ((y * x) \ y),x,z) = x * ((y * x) \ y).
L(x * ((y * x) \ y),x,x \ z) * z = (z / x) * L(x,x \ 1,y).
(x * ((y * x) \ y)) * z = (z / x) * L(x,x \ 1,y).
(x / y) * L(y,y \ 1,z) = (y * ((z * y) \ z)) * x.
(x / y) * L(y,y \ 1,z) = a(z,y,y \ 1) \ x.
(x / y) * (z \ (z / (y \ 1))) = a(z,y,y \ 1) \ x.
a(a(x,y,z),R(x,u,w),v5) * K(a(x,y,z),R(x,u,w) * v5) = a(R(x,u,w),a(x,y,z),v5).
a(L(x,y,z),a(x,u,w),v5) = a(a(x,u,w),R(x,y,z),v5) * K(a(x,u,w),R(x,y,z) * v5).
a(a(x,y,z),R(x,u,w),v5) * K(a(x,y,z),R(x,u,w) * v5) = a(L(x,u,w),a(x,y,z),v5).
a(a(x,y,z),L(x,u,w),v5) * K(a(x,y,z),R(x,u,w) * v5) = a(L(x,u,w),a(x,y,z),v5).
a(a(x,y,z),L(x,u,w),v5) * 1 = a(L(x,u,w),a(x,y,z),v5).
a(a(x,y,z),L(x,u,w),v5) = a(L(x,u,w),a(x,y,z),v5).
a(L(x,y,z),a(x,u,w),v5) = a(a(x,u,w),L(x,y,z),v5).
L(a(x,y,L(y,z,u)),L(L(y,z,u),y,x),w) = w \ ((w / L(L(y,z,u),y,x)) * L(L(L(y,z,u),y,x),y,x \ 1)).
x \ ((x / L(L(y,z,u),y,w)) * L(L(L(y,z,u),y,w),y,w \ 1)) = L(a(w,y,L(y,z,u)),L(L(y,z,u),y,w),x).
a(L(x,y,z),u,L(u,L(L(u,y,z),u,x),w)) = w \ ((w / L(L(u,y,z),u,x)) * L(L(L(u,y,z),u,x),u,x \ 1)).
x \ ((x / L(L(y,z,u),y,w)) * L(L(L(y,z,u),y,w),y,w \ 1)) = a(L(w,z,u),y,L(y,L(L(y,z,u),y,w),x)).
x \ ((x / L(L(y,z,u),y,w)) * L(y,z,u)) = a(L(w,z,u),y,L(y,L(L(y,z,u),y,w),x)).
a(L(x,y,z),u,L(u,L(L(u,y,z),u,x),w)) = w \ ((w / L(L(u,y,z),u,x)) * L(u,y,z)).
a(L(x,y,z),u,L(u,L(L(u,y,z),u,x),w)) = w \ (L(u,y,z) * (L(L(u,y,z),u,x) \ w)).
a(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = a(x,y,a(z,z \ 1,u) \ L(u,z,z \ 1)).
a(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = a(x,y,L(L(u,z,z \ 1),z \ 1,z)).
a(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = a(x,y,L(L(u,z,z \ 1),z,z \ 1)).
a(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = a(x,y,L(u,z,z \ (z \ 1))).
a(x,y,a(L(z,u \ 1,1 \ u),u,u) \ (a(u \ 1,u \ 1,z) * z)) = a(x,y,L(z,u,u \ (u \ 1))).
a(x,y,a(z,u,u) \ (a(u \ 1,u \ 1,z) * z)) = a(x,y,L(z,u,u \ (u \ 1))).
a(x,y,a(z,u,u) \ L(z,u \ 1,1 \ u)) = a(x,y,L(z,u,u \ (u \ 1))).
a(x,y,a(z,u,u) \ L(z,u \ 1,u)) = a(x,y,L(z,u,u \ (u \ 1))).
a(x,y,L(z,z,u) * ((z \ 1) * u)) = a(x,y,L(u,z,z \ (z \ 1))).
a(x,y,L(z,u,u \ (u \ 1))) = a(x,y,L(z,u * u,u \ 1)).
a(x,y,L(z,u * u,u \ 1)) = a(x,y,L(z,u,u \ (u \ 1))).
a(x,y,L(y,z,z \ (z \ 1))) = a(x,y,y).
a((x * x) \ y,z,z) = a((x \ 1) * (x \ y),z,z).
a((x \ 1) * (x \ y),z,z) = a((x * x) \ y,z,z).
a((x * x) \ y,z,z) = a((x \ y) * (x \ 1),z,z).
a((x \ y) * (x \ 1),z,z) = a((x * x) \ y,z,z).
a(((x \ 1) * (x \ 1)) \ y,z,z) = a(((x \ 1) \ y) * x,z,z).
a(((1 / x) * y) * z,((1 / x) * y) * z,L(u,x \ y,x \ y)) = a(((1 / x) * y) * z,(((1 / x) * y) \ 1) \ z,u).
a(((1 / x) * y) * x,(((1 / x) * y) \ 1) \ x,z) = a(((1 / x) * y) * x,L(y,x,x \ 1),L(z,x \ y,x \ y)).
a(((1 / x) * y) * x,L(y,x,x \ 1),L(z,x \ y,x \ y)) = a(((1 / x) * y) * x,(((1 / x) * y) \ 1) \ x,z).
a(((1 / x) * y) * x,(((1 / x) * y) \ 1) \ x,z) = a(L(y,x,x \ 1),L(y,x,x \ 1),L(z,x \ y,x \ y)).
a(L(x,y,y \ 1),L(x,y,y \ 1),L(z,y \ x,y \ x)) = a(((1 / y) * x) * y,(((1 / y) * x) \ 1) \ y,z).
a(((1 / x) * y) * x,(((1 / x) * y) \ 1) \ x,z) = a(y,y,L(z,x \ y,x \ y)).
a(((1 / x) * y) * x,(((1 / x) * y) \ 1) \ x,z) = a(y,y,L(z,x \ y,x)).
a(x,x,L(y,z \ x,z)) = a(((1 / z) * x) * z,(((z \ 1) * x) \ 1) \ z,y).
a(((1 / x) * y) * x,(((x \ 1) * y) \ 1) \ x,z) = a(y,y,L(z,x \ y,x)).
a(x,x,L(y,z \ x,z)) = a(((1 / z) * x) * z,z \ ((x \ 1) \ z),y).
a(((1 / x) * y) * x,x \ ((y \ 1) \ x),z) = a(y,y,L(z,x \ y,x)).
a(x,x,L(y,z \ x,z)) = a(L(x,z,z \ 1),z \ ((x \ 1) \ z),y).
a(L(x,y,y \ 1),y \ ((x \ 1) \ y),z) = a(x,x,L(z,y \ x,y)).
a(x,x,L(y,z \ x,z)) = a(x,x,L(y,z,z)).
R(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = R(x,y,a(z,z \ 1,u) \ L(u,z,z \ 1)).
R(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = R(x,y,L(L(u,z,z \ 1),z \ 1,z)).
R(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = R(x,y,L(L(u,z,z \ 1),z,z \ 1)).
R(x,y,a(a(z \ 1,z \ 1,u) * u,z,z) \ (a(z \ 1,z \ 1,u) * u)) = R(x,y,L(u,z,z \ (z \ 1))).
R(x,y,a(L(z,u \ 1,1 \ u),u,u) \ (a(u \ 1,u \ 1,z) * z)) = R(x,y,L(z,u,u \ (u \ 1))).
R(x,y,a(z,u,u) \ (a(u \ 1,u \ 1,z) * z)) = R(x,y,L(z,u,u \ (u \ 1))).
R(x,y,a(z,u,u) \ L(z,u \ 1,1 \ u)) = R(x,y,L(z,u,u \ (u \ 1))).
R(x,y,a(z,u,u) \ L(z,u \ 1,u)) = R(x,y,L(z,u,u \ (u \ 1))).
R(x,y,L(z,z,u) * ((z \ 1) * u)) = R(x,y,L(u,z,z \ (z \ 1))).
R(x,y,L(z,u,u \ (u \ 1))) = R(x,y,L(z,u * u,u \ 1)).
R(x,y,L(z,u * u,u \ 1)) = R(x,y,L(z,u,u \ (u \ 1))).
R(x,y,L((z \ 1) \ u,z,z \ (z \ 1))) = R(x,y,u * L(z,z,u)).
R(x,y,L(z * u,z,u)) = R(x,y,L((z \ 1) \ u,z,z \ (z \ 1))).
R(x,y,L((z \ 1) \ u,z,z \ (z \ 1))) = R(x,y,L(z * u,z,u)).
R(x / R(1 / y,y,y \ z),z \ (y \ z),y * (z * (1 / y))) = (x * (y * (z * (1 / y)))) / (z * (1 / y)).
(x * (y * (z * (1 / y)))) / (z * (1 / y)) = R(x / R(1 / y,y,y \ z),z \ (y \ z),y * (z * (y \ 1))).
R(x / R(1 / y,y,y \ z),z \ (y \ z),y * (z * (y \ 1))) = (x * (y * (z * (1 / y)))) / (z * (1 / y)).
(x * (y * (z * (1 / y)))) / (z * (1 / y)) = R(x / R(1 / y,y,y \ z),z \ (y \ z),L(z,y,y \ 1)).
R(x / R(1 / y,y,y \ z),z \ (y \ z),L(z,y,y \ 1)) = (x * (y * (z * (1 / y)))) / (z * (1 / y)).
a(L(1 / x,x,y),T((x \ y) * x,x \ 1),L(1 / x,x,y)) * (x \ y) = T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)).
a(L(1 / x,x,y),T((x \ y) * x,x \ 1),L(x \ 1,x,y)) * (x \ y) = T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)).
a(L(1 / x,x,y),(x \ y) * x,L(x \ 1,x,y)) * (x \ y) = T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)).
a(L(1 / x,x,y),y,L(x \ 1,x,y)) * (x \ y) = T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)).
T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)) = a(L(1 / x,x,y),y,L(x \ 1,x,y)) * (x \ y).
T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)) = a(L(x \ 1,x,y),y,L(x \ 1,x,y)) * (x \ y).
T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)) = a(x \ 1,y,x \ 1) * (x \ y).
T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)) = a(x,y,x \ 1) \ (x \ y).
T(L(1 / x,x,y) * ((x \ y) * x),L(1 / x,x,y)) = R(x,y,x \ 1) \ y.
T((x \ y) * K(x \ 1,y),L(1 / x,x,y)) = R(x,y,x \ 1) \ y.
R(x,y,x \ 1) \ y = T((x \ y) * K(x \ 1,y),1 / x).
T((x \ y) * K(x \ 1,y),1 / x) = R(x,y,x \ 1) \ y.
R(x,y,x \ 1) \ y = T((x \ y) * K(x \ 1,y),x \ 1).
T((x \ y) * K(x \ 1,y),x \ 1) = R(x,y,x \ 1) \ y.
x \ R(y \ x,x,x \ (y \ x)) = (1 / x) * (R(y,x,y \ 1) \ x).
x \ R(y \ x,x,x \ (y \ x)) = T((1 / x) * (x / T(y,x)),y).
x \ R(y \ x,x,x \ (y \ x)) = (y * x) \ R(x,x,y \ 1).
(x * y) \ R(y,y,x \ 1) = ((1 / (x \ y)) * y) \ 1.
L((x * y) \ y,y,y \ 1) = ((1 / (x \ y)) * y) \ 1.
L(x \ (a(y,z,u) \ x),x,x \ 1) = ((1 / (a(y,z,u) \ x)) * x) \ 1.
((1 / (a(x,y,z) \ u)) * u) \ 1 = (1 / u) * (a(x,y,z) \ u).
((1 / x) * (a(y,z,u) \ x)) \ 1 = (1 / (a(y,z,u) \ x)) * x.
((1 / x) * (a(y,z,u) \ x)) \ 1 = x * ((a(y,z,u) \ x) \ 1).
((x \ ((y \ 1) * (y * x))) * ((z \ 1) * (y * (x / (y * x))))) \ (x \ ((y \ 1) * (y * x))) = (z \ ((x \ ((y \ 1) * (y * x))) \ 1)) \ 1.
L(R(L(x,y,y) \ x,z,u) \ (x * (L(x,y,y) \ 1)),a(y \ 1,y,L(x,x,1)),u * z) = a((x * (L(x,y,y) \ 1)) \ 1,z,u).
L(R(a(x,x,y),z,u) \ (y * (L(y,x,x) \ 1)),a(x \ 1,x,L(y,y,1)),u * z) = a((y * (L(y,x,x) \ 1)) \ 1,z,u).
L(a(x,x,L(y,z,u)) \ (y * (L(y,x,x) \ 1)),a(x \ 1,x,L(y,y,1)),u * z) = a((y * (L(y,x,x) \ 1)) \ 1,z,u).
L(a(x,x,L(y,z,u)) \ (L(y,x,x) \ y),a(x \ 1,x,L(y,y,1)),u * z) = a((y * (L(y,x,x) \ 1)) \ 1,z,u).
L(a(x,x,L(y,z,u)) \ a(x,x,y),a(x \ 1,x,L(y,y,1)),u * z) = a((y * (L(y,x,x) \ 1)) \ 1,z,u).
L(a(a(x,x,y),z,u) \ 1,a(x \ 1,x,L(y,y,1)),u * z) = a((y * (L(y,x,x) \ 1)) \ 1,z,u).
L(a(a(x,x,y),z,u) \ 1,a(x \ 1,x,y),u * z) = a((y * (L(y,x,x) \ 1)) \ 1,z,u).
a((x * (L(x,y,y) \ 1)) \ 1,z,u) = L(a(a(y,y,x),z,u) \ 1,a(x,y,y),u * z).
L(a(a(x,x,y),z,u) \ 1,a(y,x,x),u * z) = a((y * (L(y,x,x) \ 1)) \ 1,z,u).
L(a(a(x,x,y),z,u) \ 1,a(y,x,x),u * z) = a((L(y,x,x) \ y) \ 1,z,u).
L(a(a(x,x,y),z,u) \ 1,a(y,x,x),u * z) = a(a(x,x,y) \ 1,z,u).
a(a(x,x,y) \ 1,z,u) = a(a(x,x,y),z,u) \ 1.
a(a(x \ 1,x,y),z,u) = a(a(x,x,y),z,u) \ 1.
a(a(x,x,y),z,u) \ 1 = a(a(y,x,x),z,u).
a(x,x,L(y,z,u)) \ a(x,x,y) = a(a(y,x,x),z,u).
L(x * a(y,y,x),y,L(y,z,u)) = x * a(a(x,y,y),z,u).
x * a(a(y,z,z),u,w) = a(a(z,z,y),u,w) \ x.
a(a(x,x,y),z,u) \ w = w * a(a(y,x,x),z,u).
(a(x,y,a(z,u,u)) * w) * a(a(z,u,u),y,x) = w.
(x * y) / L(y * a(a(z,x,x),u,w),a(a(x,x,z),u,w),x) = (1 / x) \ a(w,u,a(z,x,x)).
R(x,y,y) = a(z,u,a(x,y,y)) * (x * a(x,y,L(y,u,z))).
a(x,y,a(z,u,u)) * (z * a(z,u,L(u,y,x))) = R(z,u,u).
a(x,y,y) = a(z,u,a(x,y,y)) * a(x,y,L(y,u,z)).
a(x,y,a(z,u,u)) * a(z,u,L(u,y,x)) = a(z,u,u).
a(a(x,y,y),z,u) \ w = a(u,z,a(x,y,y)) * w.
a(a(x,y,y),z,u) * (a(u,z,a(x,y,y)) * w) = w.
L(a(a(x,y,y),z,u) \ 1,a(a(x,y,y),z,u),w) = a(u,z,a(x,y,y)).
a(a(x,y,y),z,u) \ w = w * a(u,z,a(x,y,y)).
L(L(x,y,y) * (a(z,u,a(x,y,y)) * a(y,y,x)),x,a(x,y,y)) = x * (a(a(y,y,x) \ 1,u,z) \ 1).
a(a(x,y,L(y,z,u)),w,v5) \ v6 = a(v5,w,a(L(x,z,u),y,y)) * v6.
a(x,y,a(z,z,u)) \ w = a(x,y,a(u,z,z)) * w.
a(a(x,y,y),z,u) * w = a(u,z,a(x,y,y)) \ w.
a(x,y,a(z,u,u)) \ w = a(a(z,u,u),y,x) * w.
x * a(x,y,a(y,z,z)) = L(x,y,a(y,z,z)).
x * a(y,a(z,z,y),x) = L(x,y,a(y,z,z)).
x \ L(x,y,a(y,z,z)) = a(y,a(z,z,y),x).
x \ (y * L(y \ x,z,a(z,u,u))) = L(a(z,a(u,u,z),y \ x),y \ x,y).
L(a(x,a(y,y,x),z \ u),z \ u,z) = u \ (z * L(z \ u,x,a(x,y,y))).
a(x,a(y,y,x),z) * z = L(z,x,a(x,y,y)).
x * a(y \ 1,a(z,z,y \ K(u,w)),x) = L(x,y \ K(u,w),a(y \ K(u,w),z,z)).
L(x,y \ K(z,u),a(y \ K(z,u),w,w)) = x * a(y \ 1,a(w,w,y \ K(z,u)),x).
K(x,y) * (z * L(z \ K(y,x),u,a(u,w,w))) = L(a(u,a(w,w,u),z \ K(y,x)),z \ 1,z).
L(a(x,a(y,y,x),z \ K(u,w)),z \ 1,z) = K(w,u) * (z * L(z \ K(u,w),x,a(x,y,y))).
R(a(x,a(y,y,x),z),z,L(z,x,a(x,y,y)) \ u) \ u = z * ((a(x,a(y,y,x),z) * z) \ u).
x * a(L(y,z,u),a(u,u,y),x) = L(x,L(y,z,u),a(L(y,z,u),u,u)).
L(x,L(y,z,u),a(L(y,z,u),u,u)) = x * a(L(y,z,u),a(u,u,y),x).
x * a(L(y,z,u),a(z,z,L(y,z,u)),x) = L(x,L(y,z,u),a(y,z,z)).
a(x,a(y,y,x),R(z,u,w)) = R(z \ L(z,x,a(x,y,y)),u,w).
R(x \ L(x,y,a(y,z,z)),u,w) = a(y,a(z,z,y),R(x,u,w)).
L((x * (y / x)) \ (z \ L(z * (x * (y / x)),u,a(u,w,w))),y,z) = a(u,a(w,w,u),z * (x * (y / x))).
(x * (a(x,y,a(z,u,u)) * w)) \ (x * w) = a(x,y,a(u,u,z)).
a(x,y,a(y,z,z)) \ u = a(y,a(y,z,z),x) * u.
a(x,a(y,y,x),z) \ u = a(x,a(x,y,y),z) * u.
a(x,a(y,y,x),z) \ 1 = a(x,a(x,y,y),z).
a(x,a(x,y,y),z) \ 1 = a(x,a(y,y,x),z).
a(x,a(x,y,y),z) \ x = a(x,a(y,y,x),z) * x.
a(x,a(x,y,y),z) \ x = L(x,a(y,y,x),z).
L(x,a(y,y,x),z) \ x = a(x,a(x,y,y),z).
a(x,x,y) * (a(a(y,x,x),z,u) \ R(a(x,x,y) \ w,x,v5)) = (L(a(x,x,y),z,u) \ a(x,x,y)) \ R(w,x,v5).
a(x,y,L(y,z,u)) \ a(x,y,y) = a(u,z,a(x,y,y)).
L(x,x,y) \ L(x,x,L(y,z,u)) = a(u,z,a(y,x,x)).
L(x,x,y) * a(z,u,a(y,x,x)) = L(x,x,L(y,u,z)).
L(x,x,y) \ L(x,x,L(y,z,z \ 1)) = a(z,z \ 1,a(y,x,x)).
L(x,x,y * z) \ L(x,x,(y * y) * (y \ z)) = a(z,y,a(y * z,x,x)).
x * a(y,z,a(u,x,x)) = a(u,x,x) * L(x,x,L(u,z,y)).
a(x,y,y) * L(y,y,L(x,z,u)) = y * a(u,z,a(x,y,y)).
a(x,x,L(y,y,L(z,u,x))) = a(x,x,L(y,y,z)).
a(a(x,x,y),z,u) * L(x,x,y) = L(x,x,L(y,z,u)).
a(x,x,L(y,L(y,x,x \ 1),z)) = a(x,x,L(y,y,z)).
a(x,x,L(L(y,x,z),L(y,x,x \ 1),u)) = a(x,x,L(y,y,u)).
L(x * a(a(x,y,y),z,u),y,y) = L(x,y,L(y,z,u)).
L(a(x,y,a(z,z,u)) * u,z,z) = L(u,z,L(z,y,x)).
x * L(y,x,L(x,z,u)) = (1 / x) \ (a(u,z,a(x,x,y)) * y).
(1 / x) \ (a(y,z,a(x,x,u)) * u) = x * L(u,x,L(x,z,y)).
a(x,y,a(z,u,u)) * R(z,u,L(u,y,x)) = R(z,u,u).
R(a(x,a(y,y,x),z),u,w) = a(x,a(y,y,x),R(z,u,w)).
a(x,a(y,y,x),R(z,u,w)) = R(a(x,a(y,y,x),z),u,w).
a(x,a(y,y,x),L(z,u,w)) = R(a(x,a(y,y,x),z),u,w).
R(a(x,a(y,y,x),z) \ 1,u,w) = a(x,a(y,y,x),L(z,u,w)) \ 1.
L(a(x,a(y,y,x),z),u,w) = a(x,a(y,y,x),L(z,u,w)).
a(x,a(y,y,x),L(z,u,w)) = L(a(x,a(y,y,x),z),u,w).
a(x,x,L(y,y,z)) \ z = y * (L(y,x,x \ 1) \ z).
x * (L(x,y,y \ 1) \ z) = L(x,y,y) * (x \ z).
x * y != L(x,z,z) * (x \ R(x,u,w)) | y = (R(x,u,w) / (z * x)) * z.
L(x,y,y \ 1) \ R(x,z,u) = (R(x,z,u) / (y * x)) * y.
x * ((a(y,y,x) * x) \ z) = L(x,y,y) * (x \ z).
T(L(x,y,y) * (x \ z),T(x,z)) = (x * a(y,y,x)) \ (z * x).
a(x,x,y) * (L(y,x,x) * (y \ z)) = L(z,y,a(x,x,y)).
a(x,x,y) * (L(y,x,x) * z) = L(y * z,y,a(x,x,y)).
L(x * y,x,a(z,z,x)) = a(z,z,x) * (L(x,z,z) * y).
a(x,x,y) * ((z / y) * L(y,x,x)) = L(z,y,a(x,x,y)).
L(x,y,a(z,z,y)) = L(x,a(z,z,y),L(y,z,z)).
L(x,a(y,y,z),L(z,y,y)) = L(x,z,a(y,y,z)).
L(a(x,y,y) * z,x,a(y,y,x)) = (z / x) * R(x,y,y).
a(x,x,y) * (z * L(y,x,x)) = L(z * y,y,a(x,x,y)).
L(x * y,y,a(z,z,y)) = a(z,z,y) * (x * L(y,z,z)).
x \ L(x,y,a(z,z,y)) = a(y,a(y,z,z),x).
x * a(y,a(y,z,z),x) = L(x,y,a(z,z,y)).
a(x,a(x,y,y),z) * z = L(z,x,a(y,y,x)).
R(a(x,a(x,y,y),z),z,z \ u) * u = L(z,x,a(y,y,x)) * (z \ u).
a(a(x,y,y) * L(z * x,x,a(y,y,x)),u,w) = a(z * L(x,y,y),u,w).
(x * a(y,y,x)) \ (z * x) = T((z / x) * L(x,y,y),x).
(x * a(y,y,x)) \ (z * x) = x \ (z * L(x,y,y)).
L(x,y,z \ ((z \ u) * L(z,w,w))) = L(x,y,(z * a(w,w,z)) \ u).
a(x \ ((x \ y) * L(x,z,z)),u,w) = a((x * a(z,z,x)) \ y,u,w).
a(x,y,z \ ((z \ u) * L(z,w,w))) = a(x,y,(z * a(w,w,z)) \ u).
a(a(x,y,L(y,z,u)),w,v5) \ v6 = a(v5,w,a(x,y,L(y,z,u))) * v6.
R(a(x,a(y,y,x),z) \ 1,u,w) = a(x,a(x,y,y),L(z,u,w)).
R(a(x,a(x,y,y),z),u,w) = a(x,a(x,y,y),L(z,u,w)).
a(x,a(x,y,y),L(z,u,w)) = R(a(x,a(x,y,y),z),u,w).
L(a(x,a(x,y,y),z),u,w) = a(x,a(x,y,y),L(z,u,w)).
a(x,a(x,y,y),L(z,u,w)) = L(a(x,a(x,y,y),z),u,w).
L(x,y,(z * a(u,u,z)) \ w) = L(x,y,(z \ (z \ w)) * L(z,u,u)).
L(x,y,(z \ (z \ u)) * L(z,w,w)) = L(x,y,(z * a(w,w,z)) \ u).
a((x * a(y,y,x)) \ z,u,w) = a((x \ (x \ z)) * L(x,y,y),u,w).
a((x \ (x \ y)) * L(x,z,z),u,w) = a((x * a(z,z,x)) \ y,u,w).
a(x,y,(z * a(u,u,z)) \ w) = a(x,y,(z \ (z \ w)) * L(z,u,u)).
a(x,y,(z \ (z \ u)) * L(z,w,w)) = a(x,y,(z * a(w,w,z)) \ u).
L(x,y,(z * a(u,u,z)) \ w) = L(x,y,(a(z,u,u) \ z) \ w).
L(x,y,(a(z,u,u) \ z) \ w) = L(x,y,(z * a(u,u,z)) \ w).
a(x,y,(z * a(u,u,z)) \ w) = a(x,y,(a(z,u,u) \ z) \ w).
a(x,y,(a(z,u,u) \ z) \ w) = a(x,y,(z * a(u,u,z)) \ w).
L(a(x,y,a(z,u,u)) * 1,a(a(z,u,u),y,x),w) = a(x,y,a(z,u,u)).
L(x,L(y,z,u),a(y,u,u)) = x * a(L(y,z,u),a(u,u,y),x).
x * a(L(y,z,u),a(u,u,y),x) = L(x,L(y,z,u),a(y,u,u)).
x * a(L(y,z,u),a(z,z,y),x) = L(x,L(y,z,u),a(y,z,z)).
a(x,a(x,y,y),L(z,z,z \ u)) * u = L(z,x,a(y,y,x)) * (z \ u).
L(a(x,y,a(z,u,u)),a(a(z,u,u),y,x),w) = a(x,y,a(z,u,u)).
a(x,a(x,y,y),L(z,z,u)) * u = L(z,x,a(y,y,x)) * (z \ u).
a(L(a(x,y,y) * (z * x),x,a(y,y,x)),u,w) = a(z * L(x,y,y),u,w).
a(((x * y) / y) * R(y,z,z),u,w) = a(x * L(y,z,z),u,w).
a(x * R(y,z,z),u,w) = a(x * L(y,z,z),u,w).
a(x * L(y,z,z),u,w) = a(x * R(y,z,z),u,w).
a((R(x,y,y) / (R(x,y,y) * z)) * L(x,y,y),u,w) = a(R(x,y,y) / R(z,R(x,y,y),z),u,w).
a(R(x,y,y) / R(z,R(x,y,y),z),u,w) = a((R(x,y,y) / (R(x,y,y) * z)) * L(x,y,y),u,w).
a((x \ (x \ y)) * L(x,z,z),u,w) = a((a(x,z,z) \ x) \ y,u,w).
a((a(x,y,y) \ x) \ z,u,w) = a((x * a(y,y,x)) \ z,u,w).
a(x,a(y,y,x),L(z \ u,z \ u,z)) = u \ (z * L(z \ u,x,a(x,y,y))).
x \ (y * L(y \ x,z,a(z,u,u))) = a(z,a(u,u,z),(x \ y) \ 1).
L(x,y \ K(z,u),a(y \ K(z,u),w,w)) = x * a(y \ 1,a(w,w,y \ 1),x).
L(x,y \ K(z,u),a(y \ K(z,u),w,w)) = x * a(a(y,w,w),y \ 1,x).
L(x,y \ K(z,u),a(y \ 1,w,w)) = x * a(a(y,w,w),y \ 1,x).
x * a(a(y,z,z),y \ 1,x) = L(x,y \ K(u,w),a(z,z,y)).
L(x,y \ K(z,u),a(w,w,y)) = x * a(a(y,w,w),y \ 1,x).
L(x,y \ 1,a(z,z,y)) = x * a(a(y,z,z),y \ 1,x).
x * a(a(y,z,z),y \ 1,x) = L(x,y \ 1,a(z,z,y)).
a(x,a(y,y,x),L(z,z,L(z,x,a(x,y,y)) \ u)) \ u = z * ((a(x,a(y,y,x),z) * z) \ u).
a(x,a(y,y,x),L(z,z,L(z,x,a(x,y,y)) \ u)) \ u = z * (L(z,x,a(x,y,y)) \ u).
a(x,a(y,y,x),L(z,z,z \ u)) \ u = z * (L(z,x,a(x,y,y)) \ u).
a(x,a(y,y,x),L(z,z,u)) \ u = z * (L(z,x,a(x,y,y)) \ u).
a(x,a(y,y,x),z) \ K(u,w) = z * (L(z,x,a(x,y,y)) \ K(u,w)).
x * (L(x,y,a(y,z,z)) \ K(u,w)) = a(y,a(z,z,y),x) \ K(u,w).
x * (L(x,y,a(y,z,z)) \ u) = a(y,a(y,z,z),L(x,x,u)) * u.
a(x,a(x,y,y),L(z,z,u)) * u = z * (L(z,x,a(x,y,y)) \ u).
x * (L(x,y,a(y,z,z)) \ u) = L(x,y,a(z,z,y)) * (x \ u).
L(x,y,a(z,z,y)) * (x \ u) = x * (L(x,y,a(y,z,z)) \ u).
x * L(x \ K(y,z),u,a(u,w,w)) = a(u,a(w,w,u),x) \ K(y,z).
L(a(x,a(y,y,x),z \ K(u,w)),z \ 1,z) = K(w,u) * (a(x,a(y,y,x),z) \ K(u,w)).
L(a(x,a(y,y,x),z \ K(u,w)),z \ 1,z) = T(a(x,a(y,y,x),z) \ 1,K(u,w)).
L(a(x,a(y,y,x),z \ K(u,w)),z \ 1,z) = a(x,a(y,y,x),z) \ 1.
L(a(x,a(y,y,x),z \ 1),z \ 1,z) = a(x,a(y,y,x),z) \ 1.
a(x,a(y,y,x),z) \ 1 = a(x,a(y,y,x),z \ 1).
a(x,a(y,y,x),z \ 1) = a(x,a(y,y,x),z) \ 1.
a(x,a(y,y,x),z \ 1) = a(x,a(x,y,y),z).
a(x,a(x,y,y),z \ 1) = a(x,a(y,y,x),z).
a(x,a(x,y,y),z) = a(z \ 1,x,a(x,y,y)).
a(x \ 1,y,a(y,z,z)) = a(y,a(y,z,z),x).
x \ (y * L(y \ x,z,a(z,u,u))) = a(z,a(z,u,u),x \ y).
a(x,y,y) * a(x,a(y,y,x),z) = a(x,y,L(y,x,z \ 1)).
a(x,a(x,y,y),z) * a(y,y,x) = a(y,y,L(x,x,z \ 1)).
a(x,y,y) * a(x,a(y,y,x),z) = a(x,y,L(y,x,z)).
a(x,y,y) * z != a(x,y,L(y,x,u)) | z = a(x,a(x,y,y),u).
a(x,a(y,y,x),z) = a(x,a(x,y,y),z).
a(x,a(x,y,y),z * u) = a(x,a(y,y,x),u * z).
a(x,a(y,y,x),z * u) = a(x,a(x,y,y),u * z).
a(L(x,y,z),a(y,y,x),u) = a(L(x,y,z),a(L(x,y,z),y,y),u).
a(L(x,y,z),a(L(x,y,z),y,y),u) = a(L(x,y,z),a(y,y,x),u).
a(x,a(x,y,y),z) = a(z,x,a(x,y,y)).
x * a(y,a(y,z,z),x) = L(x,y,a(y,z,z)).
a(x,a(x,y,y),z) * a(y,y,x) = a(y,y,L(x,x,z)).
a(x,y,a(y,z,z)) = a(x,y,a(z,z,y)).
a(x,y,a(z,z,y)) = a(x,y,a(y,z,z)).
a((x * (y \ 1)) \ 1,z,a(z,u,u)) = a(y * (x \ 1),z,a(u,u,z)).
L(x,y,a(y,z,z)) = L(x,y,a(z,z,y)).
L(x,y,a(z,z,y)) = L(x,y,a(y,z,z)).
L(x,y,a(z,z,y)) * (x \ u) = (u / x) * L(x,y,a(y,z,z)).
a(x,x,L(y,y,z \ 1)) = a(x,x,L(y,y,z)).
a(x,x,L(y,y,z \ (u \ 1))) = a(x,x,L(y,y,(z \ 1) \ u)).
a(x,x,L(y,y,(z \ 1) \ u)) = a(x,x,L(y,y,z \ (u \ 1))).
(x / y) * L(y,z,a(z,u,u)) = y * (L(y,z,a(z,u,u)) \ x).
a(x,x,y) \ a(x,x,L(y,y,z \ (u \ 1))) = a(a(x,x,y),y,(z \ 1) \ u).
a(L(x,y,z),a(x,y,y),u) = a(L(x,y,z),a(y,y,x),u).
a(L(x,y,z),a(y,y,x),u) = a(L(x,y,z),a(x,y,y),u).
a(x * (y \ 1),z,a(u,u,z)) = a(z,a(z,u,u),y * (x \ 1)).
a(a(x,x,y),y,(z \ 1) \ u) = a(a(x,x,y),y,z \ (u \ 1)).
a(a(x,x,y),y,(z \ 1) \ u) = a(y,a(x,x,y),z \ (u \ 1)).
a(x,a(y,y,x),z \ (u \ 1)) = a(x,a(y,y,x),(z \ 1) \ u).
a(x,a(y,y,x),(z \ 1) \ u) = a(x,a(y,y,x),z \ (u \ 1)).
a(R(x,y,y) / R(z,x,z),u,w) = a((R(x,y,y) / (R(x,y,y) * z)) * L(x,y,y),u,w).
a((R(x,y,y) / (R(x,y,y) * z)) * L(x,y,y),u,w) = a(R(z,x,z) \ R(x,y,y),u,w).
a(R(x,y,x) \ R(y,z,z),u,w) = a((R(y,z,z) / (R(y,z,z) * x)) * L(y,z,z),u,w).
a((R(x,y,y) / (R(x,y,y) * z)) * L(x,y,y),u,w) = a(z \ R(x,y,y),u,w).
a(x \ R(y,z,z),u,w) = a(((R(y,z,z) * x) \ R(y,z,z)) * L(y,z,z),u,w).
a(((R(x,y,y) * z) \ R(x,y,y)) * L(x,y,y),u,w) = a(z \ R(x,y,y),u,w).
a(((L(x,y,y) * z) \ L(x,y,y)) * L(x,y,y),u,w) = a(z \ R(x,y,y),u,w).
a(x \ R(y,z,z),u,w) = a((L(y,z,z) \ (x \ L(y,z,z))) * L(y,z,z),u,w).
a((L(x,y,y) \ (z \ L(x,y,y))) * L(x,y,y),u,w) = a(z \ R(x,y,y),u,w).
a(x \ R(y,z,z),u,w) = a(x \ L(y,z,z),u,w).
a(x \ L(y,z,z),u,w) = a(x \ R(y,z,z),u,w).
L(L(x,y,y) * a(y,y,L(x,z,u)),x,a(x,y,y)) = x * (a(a(y,y,x) \ 1,z,u) \ 1).
L(L(x * a(y,y,L(x,z,u)),y,y),x,a(x,y,y)) = x * (a(a(y,y,x) \ 1,z,u) \ 1).
x * (a(a(y,y,x) \ 1,z,u) \ 1) = L(x * a(y,y,L(x,z,u)),y,y).
L(x * a(y,y,L(x,z,u)),y,y) = x * (a(a(y,y,x) \ 1,z,u) \ 1).
L(x * a(y,y,L(x,z,u)),y,y) = x * (a(a(y \ 1,y,x),z,u) \ 1).
L(x * a(y,y,L(x,z,u)),y,y) = x * (a(a(x,y,y),z,u) \ 1).
L(x * a(y,y,L(x,z,u)),y,y) = x * (a(u,z,a(x,y,y)) * 1).
L(x * a(y,y,L(x,z,u)),y,y) = x * a(u,z,a(x,y,y)).
x * a(y,z,a(x,u,u)) = R(x,z,y) * L(R(x,z,y) \ x,u,u).
R(x,y,z) * L(R(x,y,z) \ x,u,u) = x * a(z,y,a(x,u,u)).
a(x,x,y) * (a(z,u,a(y,x,x)) * R(a(x,x,y) \ w,x,v5)) = (L(a(x,x,y),u,z) \ a(x,x,y)) \ R(w,x,v5).
(L(a(x,x,y),z,u) \ a(x,x,y)) \ R(w,x,v5) = a(x,x,L(y,z,u)) * R(a(x,x,y) \ w,x,v5).
R(a(x,x,L(y,z,u)) * (a(x,x,y) \ w),x,v5) = (L(a(x,x,y),z,u) \ a(x,x,y)) \ R(w,x,v5).
R(a(a(x,x,y),z,u) * w,x,v5) = (L(a(x,x,y),z,u) \ a(x,x,y)) \ R(w,x,v5).
(L(a(x,x,y),z,u) \ a(x,x,y)) \ R(w,x,v5) = R(a(a(x,x,y),z,u) * w,x,v5).
(a(x,x,L(y,z,u)) \ a(x,x,y)) \ R(w,x,v5) = R(a(a(x,x,y),z,u) * w,x,v5).
a(a(x,y,y),z,u) \ R(w,y,v5) = R(a(a(y,y,x),z,u) * w,y,v5).
R(a(a(x,x,y),z,u) * w,x,v5) = a(a(y,x,x),z,u) \ R(w,x,v5).
R(a(a(x,x,y),z,u) * w,x,v5) = a(u,z,a(y,x,x)) * R(w,x,v5).
R(a(a(x,x,y),z,u) * y,x,L(x,z,u)) = R(y,x,x).
R(a(x,y,a(z,u,u)) * z,u,L(u,y,x)) = R(z,u,u).
a(L(L(x,y,x) \ (((1 / x) * (y \ 1)) \ 1),L(x,y,x),x),z,u) = a(((L(x,y,x) \ 1) \ ((x * y) \ x)) \ L(x,y,x),z,u).
a(L(L(x,y,x) \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u) = a(((L(x,y,x) \ 1) \ ((x * y) \ x)) \ L(x,y,x),z,u).
a(((L(x,y,x) \ 1) \ ((x * y) \ x)) \ L(x,y,x),z,u) = a(L(x \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u).
a(((x \ 1) \ ((x * y) \ L(x,y,x))) \ L(x,y,x),z,u) = a(L(x \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u).
a(L(x \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u) = a(((x \ 1) \ ((x * y) \ L(x,y,x))) \ x,z,u).
a(L(x \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u) = a(((x \ 1) \ ((x * y) \ x)) \ x,z,u).
a(L(x \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u) = a(((x \ 1) \ (x \ (y \ x))) \ x,z,u).
a(L(x \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u) = a(L(y \ x,x,x) \ x,z,u).
a(L(x \ (((1 / x) * (y \ 1)) \ 1),x,x),z,u) = a(L(y,x,x),z,u).
((x * (y / (x * y))) \ ((z \ 1) * (x * (y / (x * y))))) \ (y \ ((x \ 1) * (x * y))) = (z \ ((y \ ((x \ 1) * (x * y))) \ 1)) \ 1.
T(x \ 1,y * (z / (y * z))) \ (z \ ((y \ 1) * (y * z))) = (x \ ((z \ ((y \ 1) * (y * z))) \ 1)) \ 1.
(x \ 1) \ (y \ ((z \ 1) * (z * y))) = (x \ ((y \ ((z \ 1) * (z * y))) \ 1)) \ 1.
(x \ ((y \ ((z \ 1) * (z * y))) \ 1)) \ 1 = (x \ 1) \ (y \ ((z \ 1) * (z * y))).
(x \ (y * (z / (y * z)))) \ 1 = (x \ 1) \ (z \ ((y \ 1) * (y * z))).
(x \ 1) \ (y \ ((z \ 1) * (z * y))) = (x \ (z * (y / (z * y)))) \ 1.
K(x,y) * ((z * (R(z,z,y) \ y)) / (z * L(y,z,z))) = (z * (R(z,z,y) \ y)) / (z * T(z * (R(z,z,y) \ y),x)).
(x * (R(x,x,y) \ y)) / (x * T(x * (R(x,x,y) \ y),z)) = K(z,y) * ((x * (R(x,x,y) \ y)) / (x * L(y,x,x))).
(x * (R(x,x,y) \ y)) / (x * T(x * (R(x,x,y) \ y),z)) = K(z,y) * (L(y,x,x) / (x * L(y,x,x))).
(x * (R(x,x,y) \ y)) / (x * T(x * (R(x,x,y) \ y),z)) = K(z,y) * R(1 / x,x,y).
R(K(x,y) * (1 / z),z,y) = (z * (R(z,z,y) \ y)) / (z * T(z * (R(z,z,y) \ y),x)).
(x * (R(x,x,y) \ y)) / (x * T(x * (R(x,x,y) \ y),z)) = R(K(z,y) * (1 / x),x,y).
(x * (R(x,x,y) \ y)) / (x * T(x * (R(x,x,y) \ y),z)) = R(K(z,y) / x,x,y).
(x * (R(x,x,y) \ y)) / (x * T(x * (R(x,x,y) \ y),z)) = y / (x * T(y,z)).
L(x,y,y) / (y * T(y * (R(y,y,x) \ x),z)) = x / (y * T(x,z)).
L(x,y,y) / (y * T(L(x,y,y),z)) = x / (y * T(x,z)).
L(x,y,y) / (y * L(T(x,z),y,y)) = x / (y * T(x,z)).
L(x,y,y) / ((1 / y) \ T(x,z)) = x / (y * T(x,z)).
T(x / (y * T(x,y)),y \ 1) = L(x,y,y) / (L(x,y,y) * y).
T(x / (x * y),y \ 1) = L(x,y,y) / (L(x,y,y) * y).
L(x,y,y) / (L(x,y,y) * y) = T(x / (x * y),y \ 1).
L(x,y,y) / (L(x,y,y) * y) = x / (x * y).
x / (x * y) = (((1 / y) \ x) / y) / ((1 / y) \ x).
(((1 / x) \ y) / x) / ((1 / x) \ y) = y / (y * x).
(x / (x * y)) * y = x \ (((1 / y) \ x) / y).
x \ (((1 / y) \ x) / y) = (x / (x * y)) * y.
K(x,T(y,((1 / z) \ x) / z)) * ((x / (x * z)) * z) = (x \ (((1 / z) \ x) / z)) * K(x,y).
K(x,T(y,(1 / z) \ (x / z))) * ((x / (x * z)) * z) = (x \ (((1 / z) \ x) / z)) * K(x,y).
K(x,T(y,T(1 \ x,z))) * ((x / (x * z)) * z) = (x \ (((1 / z) \ x) / z)) * K(x,y).
K(x,T(y,T(x,z))) * ((x / (x * z)) * z) = (x \ (((1 / z) \ x) / z)) * K(x,y).
K(x,y) * ((x / (x * z)) * z) = (x \ (((1 / z) \ x) / z)) * K(x,y).
(x \ (((1 / y) \ x) / y)) * K(x,z) = K(x,z) * ((x / (x * y)) * y).
(x \ (((1 / y) \ x) / y)) * K(x,z) = (T(x,z) / (x * y)) * y.
((x / (x * y)) * y) * K(x,z) = (T(x,z) / (x * y)) * y.
(x * y) \ ((1 / y) \ T(x,z)) = (T(x,z) / (x * y)) * y.
(x \ 1) \ (y / T(y * ((x \ 1) \ 1),y)) = (T(y,x * y) / (y * x)) * x.
(x \ 1) \ (y / T(y * ((x \ 1) \ 1),y)) = (y / T(y * x,y)) * x.
R((1 / x) \ y,y \ ((1 / x) \ y),y) \ ((1 / x) \ y) = (y / T(y * x,y)) * x.
T(x * ((1 / y) \ 1),x) \ ((1 / y) \ x) = (x / T(x * y,x)) * y.
T(x * y,x) \ ((1 / y) \ x) = (x / T(x * y,x)) * y.
T(x * y,x) \ ((1 / y) \ x) = a(y \ (x \ 1),y,x).
a(x,x,L((1 / y) \ z,y,z) \ ((1 / y) \ z)) = a(x,x,a(y \ (z \ 1),y,z)).
a(x,x,L((1 / y) \ z,y,z) \ ((1 / y) \ z)) = a(x,x,a(z,y,y)).
L(x * (y * (z \ (z / y))),y \ (1 / (z \ (z / y))),y \ (1 / (z \ (z / y)))) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
a(a(x,x,(y * (z \ 1)) \ (z \ 1)),L(1 / z,z,y),L(1 / z,z,y)) = a(L(1 / z,z,y),L(1 / z,z,y),a(x,x,T(y,z \ 1))).
a(a(x,x,(y \ 1) \ (z \ (y \ 1))),L(1 / y,y,z),L(1 / y,y,z)) = a(L(1 / y,y,z),L(1 / y,y,z),a(x,x,T(z,y \ 1))).
a(L(1 / x,x,y),L(1 / x,x,y),a(z,z,T(y,x \ 1))) = a(a(z,z,(x \ 1) \ (y \ (x \ 1))),L(1 / x,x,y),L(x \ 1,x,y)).
a(a(x,x,(y \ 1) \ (z \ (y \ 1))),L(1 / y,y,z),L(y \ 1,y,z)) = a(L(1 / y,y,z),L(1 / y,y,z),a(x,x,T(z,y \ 1))).
a(L(1 / x,x,y),L(1 / x,x,y),a(z,z,T(y,x \ 1))) = a(a(z,z,(x \ 1) \ (y \ (x \ 1))),x,x).
a(L(1 / x,x,y),L(1 / x,x,y),a(z,z,T(y,x \ 1))) = a(a(z,z,1 \ (x * (y \ (x \ 1)))),x,x).
a(L(1 / x,x,y),L(1 / x,x,y),a(z,z,T(y,x \ 1))) = a(a(z,z,x * (y \ (x \ 1))),x,x).
a(L(1 / x,x,y),L(1 / x,x,y),a(z,z,y)) = a(a(z,z,x * (y \ (x \ 1))),x,x).
a(a(x,x,y * (z \ (y \ 1))),y,y) = a(L(1 / y,y,z),L(y \ 1,y,z),a(x,x,z)).
a(L(1 / x,x,y),L(x \ 1,x,y),a(z,z,y)) = a(a(z,z,x * (y \ (x \ 1))),x,x).
a(a(x,x,y * (z \ (y \ 1))),y,y) = a(L(y \ 1,y,z),L(y \ 1,y,z),a(x,x,z)).
a(L(x \ 1,x,y),L(x \ 1,x,y),a(z,z,y)) = a(a(z,z,x * (y \ (x \ 1))),x,x).
a(a(x,x,y * (z \ (y \ 1))),y,y) = a(y \ 1,y \ 1,a(x,x,z)).
a(a(x,x,y * (z \ (y \ 1))),y,y) = a(a(z,x,x),y,y).
(x \ 1) \ ((1 / (((1 / x) * (y \ 1)) * x)) * ((x \ 1) * (y \ 1))) = a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1).
(x \ 1) \ T((1 / (y \ 1)) * ((y \ 1) / x),x) = a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1).
a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1) = (x \ 1) \ T((1 / (y \ 1)) * ((y \ 1) / x),x).
a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1) = (x \ 1) \ T(y * ((y \ 1) / x),x).
a(((x * y) \ x) \ 1,(x \ 1) * (y \ 1),(x \ 1) \ 1) = a(y,x \ (y \ 1),x).
a(x,y \ (x \ 1),y) = a(x,x \ (y \ 1),y).
a(x,(y \ 1) \ (x \ 1),y \ 1) = a(x,x \ y,y \ 1).
a(x,x \ y,y \ 1) = a(x,(y \ x) \ 1,y \ 1).
a(x,(y \ x) \ 1,y \ 1) = a(x,x \ y,y \ 1).
a(x \ 1,(x \ 1) \ y,y \ 1) = ((y / (x / (y \ 1))) * x) \ 1.
((x / (y / (x \ 1))) * y) \ 1 = x * (((1 / y) \ x) \ y).
(x * (((1 / y) \ x) \ y)) \ 1 = (x / (y / (x \ 1))) * y.
((x * (y \ (y / x))) \ 1) \ T(z,x * (y \ (y / x))) = L(z * (x * (y \ (y / x))),x \ (1 / (y \ (y / x))),x \ ((y \ (y / x)) \ 1)).
L(x * (y * (z \ (z / y))),y \ (1 / (z \ (z / y))),y \ ((z \ (z / y)) \ 1)) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
L(x * (y * (z \ (z / y))),y \ (1 / (z \ (z / y))),a(z,y,y \ 1)) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
((x * (y \ (y / x))) \ 1) \ T(z,x * (y \ (y / x))) = L(z * (x * (y \ (y / x))),x \ (1 / (y \ (y / x))),a(x,x,y)).
L(x * (y * (z \ (z / y))),y \ (1 / (z \ (z / y))),a(y,y,z)) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
((x * (y \ (y / x))) \ 1) \ T(z,x * (y \ (y / x))) = L(z * (x * (y \ (y / x))),x \ ((y \ (y / x)) \ 1),a(x,x,y)).
L(x * (y * (z \ (z / y))),y \ ((z \ (z / y)) \ 1),a(y,y,z)) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
L(x * (y * (z \ (z / y))),a(z,y,y \ 1),a(y,y,z)) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
((x * (y \ (y / x))) \ 1) \ T(z,x * (y \ (y / x))) = L(z * (x * (y \ (y / x))),a(x,x,y),a(x,x,y)).
L(x * (y * (z \ (z / y))),a(y,y,z),a(y,y,z)) = ((y * (z \ (z / y))) \ 1) \ T(x,y * (z \ (z / y))).
L(x * (y * (z \ (z / y))),a(y,y,z),a(y,y,z)) = (y \ (1 / (z \ (z / y)))) \ T(x,y * (z \ (z / y))).
L(x * (y * (z \ (z / y))),a(y,y,z),a(y,y,z)) = (y \ (1 / (z \ (z / y)))) \ x.
(x \ (1 / (y \ (y / x)))) \ z = z * (x * (y \ (y / x))).
(x \ y) * (x * (z \ (z / x))) = (1 / L(1 / x,x,z)) \ y.
a(x,(1 / L(1 / y,y,z)) \ z,u) = a(x,L(y \ 1,y,z * z) * z,u).
a(x,L(y \ 1,y,z * z) * z,u) = a(x,(L(1 / y,y,z) \ 1) \ z,u).
a(x,(L(1 / y,y,z) \ 1) \ z,u) = a(x,L(y \ 1,y,z * z) * z,u).
a(x,L(y,y \ 1,z \ 1) \ z,u) = a(x,L(y \ 1,y,z * z) * z,u).
T((x * a(y,z,u)) * K(x,T(x * a(y,z,u),w)),(x * a(y,z,u)) \ T(x,w)) = ((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x).
L((((x \ y) \ z) \ 1) \ K(x \ y,x),u,w) \ ((((x \ y) \ z) \ 1) \ K(x \ y,x)) = L((y / x) \ z,u,w) \ ((y / x) \ z).
L((x / y) \ z,u,w) \ ((x / y) \ z) = (((y \ x) \ z) \ 1) \ (L(1 / (((y \ x) \ z) \ 1),u,w) \ 1).
(((x \ y) \ z) \ 1) \ (L(1 / (((x \ y) \ z) \ 1),u,w) \ 1) = L((y / x) \ z,u,w) \ ((y / x) \ z).
(((x \ y) \ z) \ 1) \ (L((x \ y) \ z,u,w) \ 1) = L((y / x) \ z,u,w) \ ((y / x) \ z).
L((x / y) \ z,u,w) \ ((x / y) \ z) = L((y \ x) \ z,u,w) \ ((y \ x) \ z).
a(x,x,L((y \ 1) \ z,y,z) \ ((y \ 1) \ z)) = a(x,x,a(z,y,y)).
L(x,y,L((z * (u * w)) \ (w * T(z,u * w)),(z * (u * w)) \ (w * z),z * (u * w))) = L(x,y,R(T(u,z * w),w,z) \ 1).
L(x,y,R(T(z,u * w),w,u) \ 1) = L(x,y,L((u * (z * w)) \ (w * u),(u * (z * w)) \ (w * u),u * (z * w))).
L(x,y,L((z * (u * w)) \ (w * z),(z * (u * w)) \ (w * z),z * (u * w))) = L(x,y,R(T(u,z * w),w,z) \ 1).
L(x,y,R(T(z,u * w),w,u) \ 1) = L(x,y,((w * u) \ (u * (z * w))) \ 1).
L(x,y,((z * u) \ (u * (w * z))) \ 1) = L(x,y,R(T(w,u * z),z,u) \ 1).
L(x,y,R(T(z,u * w),w,u) \ 1) = L(x,y,L(z,w,u) \ 1).
L(x,y,R(T(z,u * w) \ 1,w,u)) = L(x,y,L(z,w,u) \ 1).
L(x,y,L(T(z,u * w) \ 1,w,u)) = L(x,y,L(z,w,u) \ 1).
L(x,y,L(z,u,w) \ 1) = L(x,y,L(z \ 1,u,w)).
L(x,y,L(z \ 1,u,w)) = L(x,y,L(z,u,w) \ 1).
L(x,y,L(z \ 1,u,w) \ 1) = L(x,y,L(z,u,w)).
L(x,L(y,y,z),L(y \ 1,y,z)) = L(x,y,y \ 1).
L(x,L(y \ 1,z,u),L(y,z,u)) = a(L(y \ 1,z,u),L(y \ 1,z,u),x) * x.
a(L(x \ 1,y,z),L(x \ 1,y,z),u) * u = L(u,L(x \ 1,y,z),L(x,y,z)).
L(x,y,y \ 1) = L(x,(z \ (y \ z)) \ 1,L(y \ 1,y,z)).
L(x,(y \ (z \ y)) \ 1,L(z \ 1,z,y)) = L(x,z,z \ 1).
L(x,y,y \ 1) = L(x,L(y,y,z),z \ (y \ z)).
L(x,L(y,y,z),z \ (y \ z)) = L(x,y,y \ 1).
L(x,(y * z) \ ((z * z) * y),((z * z) * y) \ (y * z)) = L(x,z,z \ 1).
R(x,((y / (z * y)) \ 1) \ 1,L(u,z,z \ 1)) = R(x,((y / (z * y)) \ 1) \ 1,u).
L(x,y \ (((z * z) * y) / z),((z * z) * y) \ (y * z)) = L(x,z,z \ 1).
L(x,y,y \ 1) = L(x,z \ (((y * y) * z) / y),L(y \ 1,y * y,z)).
L(x,y \ (((z * z) * y) / z),L(z \ 1,z * z,y)) = L(x,z,z \ 1).
L(x,y,y \ 1) = L(x,z \ (y \ ((y * y) * z)),L(y \ 1,y * y,z)).
L(x,y \ (z \ ((z * z) * y)),L(z \ 1,z * z,y)) = L(x,z,z \ 1).
L(x,R(T(y,z),y,z),L(y \ 1,y * y,z)) = L(x,y,y \ 1).
L(x,L(T(y,z),y,z),L(y \ 1,y * y,z)) = L(x,y,y \ 1).
L(x,y,y \ 1) = L(x,L(y,y,z),L(y \ 1,y * y,z)).
L(x,L(y,y,z),L(y \ 1,y * y,z)) = L(x,y,y \ 1).
L((x * (y * y)) \ (x * y),y,y \ 1) = 1 / (1 / ((x * (y * y)) \ (x * y))).
1 / (1 / ((x * (y * y)) \ (x * y))) = L(y \ (y \ y),y * y,x).
L(x \ (x \ x),x * x,y) = 1 / (1 / ((y * (x * x)) \ (y * x))).
L(x \ 1,x * x,y) = 1 / (1 / ((y * (x * x)) \ (y * x))).
1 / (1 / ((x * (y * y)) \ (x * y))) = L(y \ 1,y * y,x).
1 / (((x * y) \ R(x,y,y)) \ 1) = L(y \ 1,y * y,x).
L(x \ 1,x * x,y) = (y * x) \ R(y,x,x).
L(x,y,z * ((u * w) \ L(u,w,w))) = L(x,y,z * L(w \ 1,w * w,u)).
L(x,y,z * L(u \ 1,u * u,w)) = L(x,y,z * ((w * u) \ L(w,u,u))).
a(x * L(x \ 1,x * x,y),z,u) = a(a(y * y,x,x),z,u).
a(a(x * x,y,y),z,u) = a(y * L(y \ 1,y * y,x),z,u).
a(x,y,L(z \ 1,z * z,u) \ 1) = a(x,y,L(z,z,u * u)).
a(x,y,L(z,z,u * u)) = a(x,y,L(z \ 1,z * z,u) \ 1).
a(x,y,L((z \ 1) \ 1,z * z,u)) = a(x,y,L(z,z,u * u)).
a(x,y,L(z,z,u * u)) = a(x,y,L(z,z * z,u)).
a(x,y,L(z,z * z,u)) = a(x,y,L(z,z,u * u)).
a(x,y * y,L(y,y,x * x)) = L(y,y * y,x) \ y.
L(L(x,x * x,y) \ x,x,x * x) = a(y,x * x,L(x,x,y * y)).
L(x,y,z * L(z \ 1,z * z,u)) = L(x,y,a(u * u,z,z)).
L(x,y,a(z * z,u,u)) = L(x,y,u * L(u \ 1,u * u,z)).
L(x,y,a(z * z,u,u)) = L(x,y,R(u,u * u,z) \ u).
a(x \ 1,x \ 1,L(L(y,z,u),z,u)) * y = L(y,L(x \ 1,z,u),L(x,z,u)).
R(x,((y / (z * y)) \ 1) \ 1,u) = R(x,y / (z * y),L(u,z,z \ 1)).
R(x,y / (z * y),L(u,z,z \ 1)) = R(x,((y / (z * y)) \ 1) \ 1,u).
R(x,((y / (z * y)) \ 1) \ 1,u) = R(x,(z * y) \ y,L(u,z,z \ 1)).
R(x,(y * z) \ z,L(u,y,y \ 1)) = R(x,((z / (y * z)) \ 1) \ 1,u).
R(x,((y / (z * y)) \ 1) \ 1,u) = R(x,y \ (z \ y),L(u,z,z \ 1)).
R(x,y \ (z \ y),L(u,z,z \ 1)) = R(x,((y / (z * y)) \ 1) \ 1,u).
R(x,y \ (z \ y),L(u,z,z \ 1)) = R(x,y / (z * y),u).
R(x,y \ (z \ y),L(u,z,z \ 1)) = R(x,(z * y) \ y,u).
R(x,y \ (z \ y),L(u,z,z \ 1)) = R(x,y \ (z \ y),u).
R(x / R(1 / y,y,y \ z),z \ (y \ z),z) = (x * (y * (z * (1 / y)))) / (z * (1 / y)).
(x * (y * (z * (1 / y)))) / (z * (1 / y)) = (x * z) / (y \ z).
R(x,L((y * (z * u)) \ (u * T(y,z * u)),(y * (z * u)) \ (u * y),y * (z * u)),w) = R(x,R(T(z,y * u),u,y) \ 1,w).
R(x,R(T(y,z * u),u,z) \ 1,w) = R(x,L((z * (y * u)) \ (u * z),(z * (y * u)) \ (u * z),z * (y * u)),w).
R(x,L((y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y),y * (z * u)),w) = R(x,R(T(z,y * u),u,y) \ 1,w).
R(x,R(T(y,z * u),u,z) \ 1,w) = R(x,((u * z) \ (z * (y * u))) \ 1,w).
R(x,((y * z) \ (z * (u * y))) \ 1,w) = R(x,R(T(u,z * y),y,z) \ 1,w).
R(x,R(T(y,z * u),u,z) \ 1,w) = R(x,L(y,u,z) \ 1,w).
R(x,R(T(y,z * u) \ 1,u,z),w) = R(x,L(y,u,z) \ 1,w).
R(x,L(T(y,z * u) \ 1,u,z),w) = R(x,L(y,u,z) \ 1,w).
R(x,L(y,z,u) \ 1,w) = R(x,L(y \ 1,z,u),w).
R(x,L(y \ 1,z,u),w) = R(x,L(y,z,u) \ 1,w).
R(x,L(y \ 1,z,u),L(y,z,u)) = R(x,L(y,z,u),L(y,z,u) \ 1).
R(x,L(y,z,u),L(y,z,u) \ 1) = R(x,L(y,z,u),L(y \ 1,z,u)).
R(x,L(y,z,u),L(y \ 1,z,u)) = R(x,L(y,z,u),L(y,z,u) \ 1).
R(x,L(y,y,z),L(y,y,z) \ 1) = R(x,y,y \ 1).
R(x,(1 / L(y,y,z)) \ 1,(1 / L(y,y,z)) * x) = L(R(x,y,y \ 1),1 / L(y,y,z),x).
R(x,(1 / L(y,y,z)) \ 1,(1 / L(y,y,z)) * x) = L(R(x,y,y \ 1),L(y,y,z) \ 1,x).
R(x,(1 / L(y,y,z)) \ 1,(1 / L(y,y,z)) * x) = L(R(x,y,y \ 1),y \ 1,x).
R(x,(1 / L(y,y,z)) \ 1,(1 / L(y,y,z)) * x) = R(x,y,y \ x).
R(x,L(y,y,z),(1 / L(y,y,z)) * x) = R(x,y,y \ x).
R(x,y,y \ x) = R(x,L(y,y,z),L(y,y,z) \ x).
R(x,L(y,y,z),L(y,y,z) \ x) = R(x,y,y \ x).
L(x,x,y) \ R(z,x,x \ z) = ((1 / z) * L(x,x,y)) \ 1.
a(L(((1 / x) * y) \ 1,y,R(x,y,y \ x)),z,u) = a(((1 / x) * L(y,y,x)) \ 1,z,u).
a(L(((1 / x) * y) \ 1,y,R(x,y,y \ x)),z,u) = a(((x \ 1) * L(y,y,x)) \ 1,z,u).
a(L(((1 / x) * y) \ 1,y,R(x,y,y \ x)),z,u) = a((L(y,y,x) \ 1) * x,z,u).
a(L(((1 / x) * y) \ 1,y,L(x,y,y \ x)),z,u) = a((L(y,y,x) \ 1) * x,z,u).
a((L(x,x,y) \ 1) * y,z,u) = a(x \ y,z,u).
a((x \ a(y,x,x)) * y,z,u) = a(x \ y,z,u).
a((x \ a(y * L(z,u,w),x,x)) * (y * R(z,u,w)),v5,v6) = a(x \ (y * R(z,u,w)),v5,v6).
a((x \ a(L(y,z,u) * w,x,x)) * (R(y,z,u) * w),v5,v6) = a(x \ (R(y,z,u) * w),v5,v6).
a((x \ a(y * a(z,u,u),x,x)) * (a(u,u,z) \ y),w,v5) = a(x \ (a(u,u,z) \ y),w,v5).
a((x \ a(a(y,y,z) * u,x,x)) * (a(y,y,y \ z) * u),w,v5) = a(x \ (a(y,y,y \ z) * u),w,v5).
a((x \ a(a(y,y,z) * u,x,x)) * (u * a(z,y,y \ 1)),w,v5) = a(x \ (u * a(z,y,y \ 1)),w,v5).
a(x \ (a(y,y,z) \ u),w,v5) = a((x \ a(u * a(z,y,y),x,x)) * (u * a(z,y,y)),w,v5).
a((x \ a(y * a(z,u,u),x,x)) * (y * a(z,u,u)),w,v5) = a(x \ (a(u,u,z) \ y),w,v5).
a(x \ (a(y,y,z) \ u),w,v5) = a(x \ (u * a(z,y,y)),w,v5).
a(x \ (a(y,y,y \ z) * u),w,v5) = a((x \ a(a(y,y,z) * u,x,x)) * (a(y,y,z) * u),w,v5).
a((x \ a(a(y,y,z) * u,x,x)) * (a(y,y,z) * u),w,v5) = a(x \ (a(y,y,y \ z) * u),w,v5).
a(x \ (a(y,y,y \ z) * u),w,v5) = a(x \ (a(y,y,z) * u),w,v5).
a(x \ (y * a(z,u,u \ 1)),w,v5) = a((x \ a(a(u,u,z) * y,x,x)) * (a(u,u,z) * y),w,v5).
a((x \ a(a(y,y,z) * u,x,x)) * (a(y,y,z) * u),w,v5) = a(x \ (u * a(z,y,y \ 1)),w,v5).
a(x \ (y * a(z,u,u \ 1)),w,v5) = a(x \ (a(u,u,z) * y),w,v5).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((x / y) / (1 / y),(x / y) / (1 / y),((y \ 1) \ x) * z).
a(x \ 1,(x \ 1) \ y,y \ 1) \ (y * (((x \ 1) * ((x \ 1) \ y)) \ 1)) = a(x,(x \ 1) \ y,((x \ 1) \ y) \ x).
(x * (((1 / y) \ x) \ y)) \ (x * (((y \ 1) * ((y \ 1) \ x)) \ 1)) = a(y,(y \ 1) \ x,((y \ 1) \ x) \ y).
(x * (((1 / y) \ x) \ y)) \ (x * (x \ 1)) = a(y,(y \ 1) \ x,((y \ 1) \ x) \ y).
a(x,(x \ 1) \ y,((x \ 1) \ y) \ x) = (y * (((1 / x) \ y) \ x)) \ (y * (y \ 1)).
a(x,(x \ 1) \ y,((x \ 1) \ y) \ x) = (y * (((1 / x) \ y) \ x)) \ 1.
a(x,(x \ 1) \ y,((x \ 1) \ y) \ x) = (y / (x / (y \ 1))) * x.
(x / (y / (x \ 1))) * y = (y \ 1) * (((y \ 1) \ x) * (x \ 1)).
(x \ 1) * (((x \ 1) \ y) * (y \ 1)) = (y / (x / (y \ 1))) * x.
a(x,x * y,x \ (y \ x)) = (y / (x / (y \ 1))) * x.
R(x,T(x * y,z),T(x * y,z) \ x) = x * ((y / (x / (y \ 1))) * x).
R(x,T(x * (y \ 1),z),T(x * (y \ 1),z) \ x) = x * (((1 / y) / (x / y)) * x).
R(x,T(x * (y \ 1),z),T(x * (y \ 1),z) \ x) = x * a(x,y \ x,y).
R(x,T(x * (y \ 1),z),T(x * (y \ 1),z) \ x) = R(x,y \ x,y).
R(x,y \ x,y) = R(x,T(x * (y \ 1),z),(x * (y \ 1)) \ x).
R(x,T(x * (y \ 1),z),(x * (y \ 1)) \ x) = R(x,y \ x,y).
R(x,y \ x,y) = R(x,T(x * (y \ 1),z),x \ ((y \ 1) \ x)).
R(x,T(x * (y \ 1),z),x \ ((y \ 1) \ x)) = R(x,y \ x,y).
R(x,x * (y \ 1),x \ ((y \ 1) \ x)) = R(x,y \ x,y).
R(x,y \ x,y) = ((1 / x) \ (y \ 1)) * ((y \ 1) \ 1).
R(x,y \ x,y) = ((1 / x) \ (1 / y)) * y.
(R(x,y,z) \ x) \ R(u,(R(x,y,z) \ x) \ u,R(x,y,z) \ x) = (1 / u) \ (1 / (R(x,y,z) \ x)).
(R(x,y,z) \ x) \ R(u,(R(x,y,z) \ x) \ u,R(x,y,z) \ x) = (1 / u) \ ((R(x,y,z) \ x) \ 1).
(R(x,y,z) \ x) \ R(u,(R(x,y,z) \ x) \ u,R(x,y,z) \ x) = (1 / u) \ (x \ R(x,y,z)).
(1 / x) \ (y \ R(y,z,u)) = ((R(y,z,u) \ y) / T(x,R(y,z,u) \ y)) \ 1.
((R(x,y,z) \ x) / T(u,R(x,y,z) \ x)) \ 1 = (1 / u) \ (x \ R(x,y,z)).
((R(x,y,z) \ x) / u) \ 1 = (1 / u) \ (x \ R(x,y,z)).
R(1 / (L(R(x,x,y) \ x,z,u) \ 1),w,v5) * a(x,x,L(y,z,u)) = (L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5).
a((x \ 1) \ y,z,u) * a(z * u,(x \ (y \ 1)) \ 1,a((x \ 1) \ y,z,u)) = ((x \ (y \ 1)) \ 1) \ R((x \ (y \ 1)) \ 1,z,u).
a((x \ 1) \ y,z,u) * a(z * u,(x \ 1) \ y,a((x \ 1) \ y,z,u)) = ((x \ (y \ 1)) \ 1) \ R((x \ (y \ 1)) \ 1,z,u).
((x \ (y \ 1)) \ 1) \ R((x \ (y \ 1)) \ 1,z,u) = ((x \ 1) \ y) \ R((x \ 1) \ y,z,u).
((x \ 1) \ y) \ R((x \ 1) \ y,z,u) = R(x \ (y \ 1),z,u) \ (x \ (y \ 1)).
R(x \ (y \ 1),z,u) \ (x \ (y \ 1)) = ((x \ 1) \ y) \ R((x \ 1) \ y,z,u).
((x \ 1) \ y) \ R((x \ 1) \ y,z,u) = x \ ((y \ 1) * R((y \ 1) \ x,z,u)).
((x \ 1) \ y) \ R((x \ 1) \ y,z,u) = x \ (y \ R(y * x,z,u)).
T((x * a(y,z,u)) * K(x,x * a(y,z,u)),(x * a(y,z,u)) \ T(x,w)) = ((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x).
T(a(x,a(y,z,u),x) \ (x * a(y,z,u)),(x * a(y,z,u)) \ T(x,w)) = ((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x).
T(x * (a(x,a(y,z,u),x) \ a(y,z,u)),(x * a(y,z,u)) \ T(x,w)) = ((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x).
T(a(x,y,z) * L(u,a(x,y,z),u),(u * a(x,y,z)) \ T(u,w)) = ((u * a(x,y,z)) \ T(u,w)) \ L(T(u,w),a(x,y,z),u).
((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x) = T(a(y,z,u) * L(x,a(y,z,u),x),x \ (a(y,z,u) \ T(x,w))).
T(a(x,y,z) * L(u,a(x,y,z),u),u \ (a(x,y,z) \ T(u,w))) = ((u * a(x,y,z)) \ T(u,w)) \ L(T(u,w),a(x,y,z),u).
((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x) = T(a(y,z,u) * L(x,a(y,z,u),x),T(a(y,z,u) \ K(x,w),x)).
T(a(x,y,z) * L(u,a(x,y,z),u),T(a(x,y,z) \ K(u,w),u)) = ((u * a(x,y,z)) \ T(u,w)) \ L(T(u,w),a(x,y,z),u).
T(a(x,y,z) * L(u,a(x,y,z),u),a(x,y,z) \ K(u,w)) = ((u * a(x,y,z)) \ T(u,w)) \ L(T(u,w),a(x,y,z),u).
((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x) = T(a(y,z,u) * L(x,a(y,z,u),x),K(x,w)).
((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x) = L(x,a(y,z,u),x) * a(y,z,u).
a(x,y,z) * L(u,a(x,y,z),u) = ((u * a(x,y,z)) \ T(u,w)) \ L(T(u,w),a(x,y,z),u).
((x * a(y,z,u)) \ T(x,w)) \ L(T(x,w),a(y,z,u),x) = a(y,z,u) * L(x,a(y,z,u),x).
(x \ (a(y,z,u) \ T(x,w))) \ L(T(x,w),a(y,z,u),x) = a(y,z,u) * L(x,a(y,z,u),x).
1 / (a(x,y,z) * L(u,a(x,y,z),u)) = L((a(x,y,z) * u) \ 1,T(u,w),(a(x,y,z) * u) \ 1).
L((a(x,y,z) * u) \ 1,T(u,w),(a(x,y,z) * u) \ 1) = 1 / (a(x,y,z) * L(u,a(x,y,z),u)).
L((a(x,y,z) * u) \ 1,u,(a(x,y,z) * u) \ 1) = 1 / (a(x,y,z) * L(u,a(x,y,z),u)).
1 / (a(x,y,z) * L(u,a(x,y,z),u)) = (1 / u) * (a(x,y,z) \ 1).
1 / (a(x,y,z) * u) = (1 / u) * (a(x,y,z) \ 1).
(1 / x) * (a(y,z,u) \ 1) = 1 / (a(y,z,u) * x).
(1 / L(x,a(y,z,u),a(y,z,u))) * (a(y,z,u) \ 1) = 1 / ((1 / a(y,z,u)) \ x).
L(1 / x,a(y,z,u),a(y,z,u)) * (a(y,z,u) \ 1) = 1 / ((1 / a(y,z,u)) \ x).
L((1 / x) * (a(y,z,u) \ 1),a(y,z,u),a(y,z,u)) = 1 / ((1 / a(y,z,u)) \ x).
L(1 / (a(x,y,z) * u),a(x,y,z),a(x,y,z)) = 1 / ((1 / a(x,y,z)) \ u).
L(1 / (a(x,y,z) * u),a(x,y,z),a(x,y,z)) = 1 / ((a(x,y,z) \ 1) \ u).
L(1 / (a(x,y,z) * u),a(x,y,z),a(x,y,z)) = a(x,y,z) \ (1 / u).
a(x,x,y) \ (1 / z) = 1 / (a(x,x,y) * z).
1 / (a(x,x,y) * z) = a(x,x,y) \ (1 / z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((x / y) / (1 / y),(1 / y) \ (x / y),((y \ 1) \ x) * z).
R(1 / (1 * a(x,x,L(y,z,u))),w,v5) * a(x,x,L(y,z,u)) = (L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5).
(L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5) = R(1 / (1 * a(x,x,L(y,z,u))),w,v5) * a(x,x,L(y,z,u)).
(L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5) = R(1 / a(x,x,L(y,z,u)),w,v5) * a(x,x,L(y,z,u)).
(L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5) = R(a(x,x,L(y,z,u)) \ 1,w,v5) * a(x,x,L(y,z,u)).
(L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5) = a(x \ 1,x,L(L(y,z,u),w,v5)) * a(x,x,L(y,z,u)).
(L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5) = a(x,x,L(L(y,z,u),w,v5)) \ a(x,x,L(y,z,u)).
(L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5) = a(a(L(y,z,u),x,x),w,v5).
(L(R(x,x,y) \ x,z,u) \ 1) * R(L(R(x,x,y) \ x,z,u),w,v5) = a(a(y,x,L(x,z,u)),w,v5).
(1 * a(x,x,L(y,z,u))) * R(L(R(x,x,y) \ x,z,u),w,v5) = a(a(y,x,L(x,z,u)),w,v5).
a(x,x,L(y,z,u)) * R(L(R(x,x,y) \ x,z,u),w,v5) = a(a(y,x,L(x,z,u)),w,v5).
a(x,x,L(y,z,u)) * L(R(R(x,x,y) \ x,w,v5),z,u) = a(a(y,x,L(x,z,u)),w,v5).
a(x,x,L(y,z,u)) * L(L(R(x,x,y) \ x,w,v5),z,u) = a(a(y,x,L(x,z,u)),w,v5).
a(a(x,y,L(y,z,u)),w,v5) = a(y,y,L(L(x,w,v5),z,u)) \ a(y,y,L(x,z,u)).
a(x,x,L(L(y,z,u),w,v5)) \ a(x,x,L(y,w,v5)) = a(a(y,x,L(x,w,v5)),z,u).
a(a(x,y,L(y,z,u)),w,v5) = R(L(a(y,y,x),w,v5) \ a(y,y,x),z,u).
R(L(a(x,x,y),z,u) \ a(x,x,y),w,v5) = a(a(y,x,L(x,w,v5)),z,u).
R(a(x,x,L(y,z,u)) \ a(x,x,y),w,v5) = a(a(y,x,L(x,w,v5)),z,u).
R(a(a(x,y,y),z,u),w,v5) = a(a(x,y,L(y,w,v5)),z,u).
a(a(x,y,L(y,z,u)),w,v5) = R(a(a(x,y,y),w,v5),z,u).
L(a(a(x,y,y),z,u),w,v5) = a(a(x,y,L(y,w,v5)),z,u).
a(a(x,y,L(y,z,u)),w,v5) = L(a(a(x,y,y),w,v5),z,u).
L(a(x,y,a(z,z,u)),w,v5) = a(a(u,z,L(z,w,v5)),y,x).
a(a(x,y,L(y,z,u)),w,v5) = L(a(v5,w,a(y,y,x)),z,u).
a(a(x,y,L(y,z,u)),w,u) = a(u,w,a(y,y,x)).
a(a((x \ y) \ 1,z,z),u,x) = a(x,u,a(z,z,y \ x)).
a(x,y,a(z,z,u)) = a(x,y,a(z,z,L(u,w,x))).
a(x,y,a(z,z,L(u,w,x))) = a(x,y,a(z,z,u)).
a(x,y,a(z,z,u \ x)) = a(a(z,z,x \ u),y,x).
a(a(x,x,y \ z),u,y) = a(y,u,a(x,x,z \ y)).
a(x,y,a(z,z,u \ x)) = a(x,y,a(x \ u,z,z)).
a(x,y,a(x \ z,u,u)) = a(x,y,a(u,u,z \ x)).
a(a(x \ y,z,z),u,y) = a(y,u,a(y \ x,z,z)).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((x / y) / (1 / y),(1 / y) \ (y \ x),((y \ 1) \ x) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((x / y) / (1 / y),(y \ 1) \ (y \ x),((y \ 1) \ x) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((x / y) / (1 / y),L(x,y,y),((y \ 1) \ x) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((1 / y) \ (x / y),L(x,y,y),((y \ 1) \ x) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((1 / y) \ (y \ x),L(x,y,y),((y \ 1) \ x) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a((y \ 1) \ (y \ x),L(x,y,y),((y \ 1) \ x) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a(L(x,y,y),L(x,y,y),((y \ 1) \ x) * z).
a((x / y) / (1 / y),(x / y) / (1 / y),((x / y) / (1 / y)) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((x / y) / (1 / y),(x / y) / (1 / y),((1 / y) \ (x / y)) * (y * z)).
a((x / y) / (1 / y),(x / y) / (1 / y),((1 / y) \ (x / y)) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((x / y) / (1 / y),(x / y) / (1 / y),((1 / y) \ (y \ x)) * (y * z)).
a((x / y) / (1 / y),(x / y) / (1 / y),((1 / y) \ (y \ x)) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((x / y) / (1 / y),(x / y) / (1 / y),L(x,y,y) * (y * z)).
a((x / y) / (1 / y),(x / y) / (1 / y),L(x,y,y) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((x / y) / (1 / y),(1 / y) \ (x / y),L(x,y,y) * (y * z)).
a((x / y) / (1 / y),(1 / y) \ (x / y),L(x,y,y) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((x / y) / (1 / y),(1 / y) \ (y \ x),L(x,y,y) * (y * z)).
a((x / y) / (1 / y),(1 / y) \ (y \ x),L(x,y,y) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((x / y) / (1 / y),(y \ 1) \ (y \ x),L(x,y,y) * (y * z)).
a((x / y) / (1 / y),(y \ 1) \ (y \ x),L(x,y,y) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((x / y) / (1 / y),L(x,y,y),L(x,y,y) * (y * z)).
a((x / y) / (1 / y),L(x,y,y),L(x,y,y) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a((1 / y) \ (x / y),L(x,y,y),L(x,y,y) * (y * z)).
a((1 / x) \ (y / x),L(y,x,x),L(y,x,x) * (x * z)) = a(y,y,((x \ 1) \ y) * z).
a(x,x,((y \ 1) \ x) * z) = a((1 / y) \ (y \ x),L(x,y,y),L(x,y,y) * (y * z)).
a((1 / x) \ (x \ y),L(y,x,x),L(y,x,x) * (x * z)) = a(y,y,((x \ 1) \ y) * z).
a(x,x,((y \ 1) \ x) * z) = a((y \ 1) \ (y \ x),L(x,y,y),L(x,y,y) * (y * z)).
a((x \ 1) \ (x \ y),L(y,x,x),L(y,x,x) * (x * z)) = a(y,y,((x \ 1) \ y) * z).
a(x,x,((y \ 1) \ x) * z) = a(L(x,y,y),L(x,y,y),L(x,y,y) * (y * z)).
a(L(x,y,y),L(x,y,y),L(x,y,y) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a(x,x,L(x,y,y) * (y * z)).
a(x,x,L(x,y,y) * (y * z)) = a(x,x,((y \ 1) \ x) * z).
a(x,x,((y \ 1) \ x) * z) = a(x,x,(y * z) * x).
a(x,x,((y \ 1) \ x) * z) = a(x,x,y * (z * x)).
a(x,x,(y \ 1) * (z * x)) = a(x,x,z * (y \ x)).
a(x,x,y * (z \ x)) = a(x,x,x * ((z \ 1) * y)).
a(x,x,x * ((y \ 1) * z)) = a(x,x,z * (y \ x)).
(1 / x) * (y * a(1 / x,R(x * K(z,u),w,v5),K(u,z) * (R(x,w,v5) \ y))) = (R(x,w,v5) * (x \ K(z,u))) * (R(x * K(z,u),w,v5) \ y).
a(x,y,L((((z * u) \ z) \ 1) \ 1,(z \ (u \ z)) \ 1,u) * (((z * u) \ z) * u)) = a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)).
T((x * y) / ((x * y) / (y \ ((y / x) * L(x,z,u)))),L(L(x,z,u) \ x,L(x,z,u),y)) = (x * y) / ((x * y) * ((L(x,z,u) * y) \ (x * y))).
1 / (1 / (a(x,x,L(y,1 / z,z \ 1)) \ (z \ a(x,x,L(y,1 / z,1 / z))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
L(L(x,y,z),x,u) * ((L(L(x,x,u),y,z) \ L(x,y,z)) * w) = L(L(x,x,u),y,z) * ((L(x,y,z) / L(L(x,x,u),y,z)) * w).
L(L(x,y,z),x,u) * (a(u,x,L(x,y,z)) * w) = L(L(x,x,u),y,z) * ((L(x,y,z) / L(L(x,x,u),y,z)) * w).
L(L(x,x,y),z,u) * ((L(x,z,u) / L(L(x,x,y),z,u)) * w) = L(L(x,z,u),x,y) * (a(y,x,L(x,z,u)) * w).
L(L(x,x,y),z,u) * ((L(L(x,x,y),z,u) \ L(x,z,u)) * w) = L(L(x,z,u),x,y) * (a(y,x,L(x,z,u)) * w).
(1 / x) * (y * a(1 / x,R(x * K(z,u),w,v5),R(x,w,v5) \ y)) = (R(x,w,v5) * (x \ K(z,u))) * (R(x * K(z,u),w,v5) \ y).
(1 / x) * (y * a(1 / x,L(x * K(z,u),w,v5),R(x,w,v5) \ y)) = (R(x,w,v5) * (x \ K(z,u))) * (R(x * K(z,u),w,v5) \ y).
(1 / x) * (y * a(1 / x,L(x,z,u),R(x,z,u) \ y)) = (R(x,z,u) * (x \ K(w,v5))) * (R(x * K(w,v5),z,u) \ y).
(1 / x) * (y * a(x \ 1,L(x,z,u),R(x,z,u) \ y)) = (R(x,z,u) * (x \ K(w,v5))) * (R(x * K(w,v5),z,u) \ y).
(1 / x) * (y * a(x \ 1,x,L(R(x,z,u) \ y,z,u))) = (R(x,z,u) * (x \ K(w,v5))) * (R(x * K(w,v5),z,u) \ y).
(1 / x) * (a(x,x,L(R(x,y,z) \ u,y,z)) \ u) = (R(x,y,z) * (x \ K(w,v5))) * (R(x * K(w,v5),y,z) \ u).
(1 / x) * (a(x,x,L(x \ y,z,u)) \ y) = (R(x,z,u) * (x \ K(w,v5))) * (R(x * K(w,v5),z,u) \ y).
(R(x,y,z) * (x \ K(u,w))) * (R(x * K(u,w),y,z) \ v5) = L((1 / x) * v5,x,L(x,y,z)).
(R(x,y,z) * (x \ K(u,w))) * (K(w,u) * (R(x,y,z) \ v5)) = L((1 / x) * v5,x,L(x,y,z)).
L((1 / x) * y,x,L(x,z,u)) = (R(x,z,u) * (x \ 1)) * (R(x,z,u) \ y).
(R(x,y,z) * (x \ 1)) * (R(x,y,z) \ u) = L((1 / x) * u,x,L(x,y,z)).
(x \ R(x,y,z)) * (R(x,y,z) \ u) = L((1 / x) * u,x,L(x,y,z)).
L((1 / x) * y,x,L(x,z,u)) \ (x \ y) = a(x,x \ R(x,z,u),R(x,z,u) \ y).
a(x,x \ R(x,y,z),R(x,y,z) \ u) = L((1 / x) * u,x,L(x,y,z)) \ (x \ u).
a(x,x \ R(x,y,z),R(x,y,z) \ u) = a(a(x,x,u),y,z).
R(x,y,a(a(x,x,z),u,w)) = x.
a(a(x,x,y),z,u) = L(y,x,x \ L(x,z,u)) \ y.
L(x,y,y \ L(y,z,u)) \ x = a(a(y,y,x),z,u).
x * (y * a(a(x,x,z),u,w)) = (x * y) * a(a(x,x,z),u,w).
(x * y) * a(a(x,x,z),u,w) = x * (y * a(a(x,x,z),u,w)).
x * (y * ((a(a(x,x,z),u,w) \ v5) \ v5)) = (x * y) * ((a(a(x,x,z),u,w) \ v5) \ v5).
(x * y) * ((a(a(x,x,z),u,w) \ v5) \ v5) = x * (y * ((a(a(x,x,z),u,w) \ v5) \ v5)).
L(T(x,y) \ 1,z,z \ L(z,u,w)) \ (x \ K(y,x)) = a(a(z,z,x \ 1),u,w).
(x * a(a(x,x,y),z,u)) * w = x * (w * a(a(x,x,y),z,u)).
L(x,a(a(y,y,z),u,w),y) = x.
(a(a(x,x,y),z,u) * x) * w = x * (w * a(a(x,x,y),z,u)).
(a(x,y,a(z,u,u)) * u) * w = u * (w * a(a(u,u,z),y,x)).
L(x,a(a(y,z,z),u,w),z) = x.
(x * y) / (y * a(a(z,x,x),u,w)) = (1 / x) \ a(w,u,a(z,x,x)).
(x * a(a(y,x,x),z,u)) \ w = a(a(y,x,x),z,u) \ (x \ w).
x * T(a(a(y,y,z),u,w) * y,x) = y * (x * a(a(y,y,z),u,w)).
(x * a(a(y,x,x),z,u)) \ w = a(u,z,a(y,x,x)) * (x \ w).
(a(a(x,y,y),z,u) * y) \ w = a(u,z,a(x,y,y)) * (y \ w).
(x * y) / (y * a(a(z,x,x),u,w)) = x * a(a(x,x,z),u,w).
x * a(a(x,x,y),z,u) = (a(a(y,x,x),z,u) * w) \ (w * x).
(a(a(x,y,y),z,u) * w) \ (w * y) = y * a(a(y,y,x),z,u).
x * (a(a(y,y,z),u,w) * T(y,x)) = y * (x * a(a(y,y,z),u,w)).
x * (a(a(y,y,z),u,w) * T(y,x * a(v5,v6,v7))) = y * (x * a(a(y,y,z),u,w)).
L(T(x,y) \ 1,z,z \ L(z,u,w)) \ (x \ K(y,x)) = a(a(x,z,z),u,w).
a(a(x,y,y),z,u) = x \ (L(1 / x,y,y \ L(y,z,u)) \ 1).
x \ (L(1 / x,y,y \ L(y,z,u)) \ 1) = a(a(x,y,y),z,u).
L(x,a(a(x,x,y),z,u),w) = x.
L(x,y,z) = L(L(x,y,z),a(a(x,x,u),w,v5),v6).
L(L(x,y,z),a(a(x,x,u),w,v5),v6) = L(x,y,z).
L(x,y,z) = (u * a(a(x,x,w),v5,v6)) \ (u * (a(a(x,x,w),v5,v6) * L(x,y,z))).
(x * a(a(y,y,z),u,w)) \ (x * (a(a(y,y,z),u,w) * L(y,v5,v6))) = L(y,v5,v6).
(x * a(a(y,y,z),u,w)) \ (x * L(y,y,L(z,u,w))) = L(y,y,z).
(x * y) * ((a(a(x,x,z),u,w) \ v5) \ v5) = x * (y * ((v5 * a(a(z,x,x),u,w)) \ v5)).
(x * y) * ((a(a(x,x,z),u,w) \ v5) \ v5) = x * (y * (v5 \ (a(a(z,x,x),u,w) \ v5))).
(x * y) * ((a(a(x,x,z),u,w) \ v5) \ v5) = x * (y * (v5 \ (a(w,u,a(z,x,x)) * v5))).
(x * y) * ((a(a(x,x,z),u,w) \ v5) \ v5) = x * (y * a(w,u,a(z,x,x))).
(x * y) * (z \ (a(u,w,a(v5,x,x)) * z)) = x * (y * a(u,w,a(v5,x,x))).
(x * y) * a(z,u,a(w,x,x)) = x * (y * a(z,u,a(w,x,x))).
a(x,y,L((((z * u) \ z) \ 1) \ 1,u,u) * (((z * u) \ z) * u)) = a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)).
a(x,y,T((((z * u) \ z) \ 1) \ 1,u) * (((z * u) \ z) * u)) = a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)).
a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)) = a(x,y,(((z * u) \ z) * u) * ((((z * u) \ z) \ 1) \ 1)).
a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)) = a(x,y,((z * u) \ z) * (((z * u) \ z) * u)).
a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)) = a(x,y,L(T((z * u) \ z,u),u,z)).
a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)) = a(x,y,L((z * u) \ z,u,z)).
a(x,y,(((z * u) \ z) \ 1) \ ((((z * u) \ z) \ 1) \ u)) = a(x,y,L(z \ (u \ z),u,z)).
a(x,y,(((z * u) \ z) \ 1) \ (((z * u) \ z) * u)) = a(x,y,L(z \ (u \ z),u,z)).
a(x,y,L(z \ (u \ z),u,z)) = a(x,y,(((z * u) \ z) \ 1) \ ((z \ (u \ z)) * u)).
a(x,y,(((z * u) \ z) \ 1) \ ((z \ (u \ z)) * u)) = a(x,y,L(z \ (u \ z),u,z)).
T((x * y) / ((y \ ((y / x) * L(x,z,u))) \ (x * y)),L(L(x,z,u) \ x,L(x,z,u),y)) = (x * y) / ((x * y) * ((L(x,z,u) * y) \ (x * y))).
1 / (1 / (a(x,x,L(y,z \ 1,z \ 1)) \ (z \ a(x,x,L(y,1 / z,1 / z))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
T(x \ ((x / y) * L(y,z,u)),L(L(y,z,u) \ y,L(y,z,u),x)) = (y * x) / ((y * x) * ((L(y,z,u) * x) \ (y * x))).
(x * y) / ((x * y) * ((L(x,z,u) * y) \ (x * y))) = y \ ((y / x) * L(x,z,u)).
1 / (1 / (a(x,x,(y \ 1) \ (y \ z)) \ (y \ a(x,x,L(z,1 / y,1 / y))))) = a(x,x,L(z,1 / y,1 / y)) \ (a(x,x,z) * (1 / y)).
1 / (1 / (a(x,x,L(y,z,z)) \ (z \ a(x,x,L(y,1 / z,1 / z))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
1 / (1 / (a(x,x,L(y,z,z)) \ (z \ a(x,x,L(y,1 / z,z \ 1))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
1 / (1 / (a(x,x,L(y,z,z)) \ (z \ a(x,x,L(y,z \ 1,z \ 1))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
1 / (1 / (a(x,x,L(y,z,z)) \ (z \ a(x,x,(z \ 1) \ (z \ y))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
1 / (1 / (a(x,x,L(y,z,z)) \ (z \ a(x,x,L(y,z,z))))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
1 / (1 / (a(x,x,L(y,z,z)) \ (a(x,x,y) * (z \ 1)))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
1 / (1 / (a(x,x,y) \ (z \ a(x,x,y)))) = a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)).
a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)) = 1 / (1 / (a(x,x,y) \ (z \ a(x,x,y)))).
a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)) = 1 / (a(x,x,y) * (1 / (z \ a(x,x,y)))).
a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)) = 1 / (a(x,x,y) * ((a(x,x,y) / z) \ 1)).
a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)) = a(x,x,y) \ (1 / ((a(x,x,y) / z) \ 1)).
a(x,x,L(y,1 / z,1 / z)) \ (a(x,x,y) * (1 / z)) = a(x,x,y) \ (a(x,x,y) / z).
a(x,x,L(y,1 / z,z \ 1)) \ (a(x,x,y) * (1 / z)) = a(x,x,y) \ (a(x,x,y) / z).
a(x,x,L(y,z \ 1,z \ 1)) \ (a(x,x,y) * (1 / z)) = a(x,x,y) \ (a(x,x,y) / z).
a(x,x,(y \ 1) \ (y \ z)) \ (a(x,x,z) * (1 / y)) = a(x,x,z) \ (a(x,x,z) / y).
a(x,x,L(y,z,z)) \ (a(x,x,y) * (1 / z)) = a(x,x,y) \ (a(x,x,y) / z).
a(x,x,y) \ (a(x,x,y) / z) = a(x,x,y) * (a(x,x,L(y,z,z)) \ (1 / z)).
a(x,x,y) * (a(x,x,L(y,z,z)) \ (1 / z)) = a(x,x,y) \ (a(x,x,y) / z).
a(x,x,y) * (a(x \ 1,x,y) / z) = a(x,x,y) \ (a(x,x,y) / z).
a(x,x,y) \ (a(x,x,y) \ (a(x,x,y) / z)) = (a(x,x,y) \ K(z \ 1,(a(x,x,y) \ 1) / z)) / z.
(a(x,x,y) \ K(z \ 1,(a(x,x,y) \ 1) / z)) / z = x * (R(R(x,x,y),x,y) \ (a(x,x,y) / z)).
(a(x,x,y) \ K(z \ 1,a(x \ 1,x,y) / z)) / z = x * (R(R(x,x,y),x,y) \ (a(x,x,y) / z)).
(a(x,x,y) \ K(z \ 1,z \ 1)) / z = x * (R(R(x,x,y),x,y) \ (a(x,x,y) / z)).
(a(x,x,y) \ 1) / z = x * (R(R(x,x,y),x,y) \ (a(x,x,y) / z)).
x * (R(R(x,x,y),x,y) \ (a(x,x,y) / z)) = (a(x,x,y) \ 1) / z.
x * (R(R(x,x,y),x,y) \ (a(x,x,y) / z)) = a(x \ 1,x,y) / z.
a(x,y,a(z,u,u) * R(1 / w,w,a(u,u,z))) = a(x,y,a(u \ 1,u,z) / w).
a(x,y,a(z,u,u) * R(1 / w,w,a(u,u,z))) = a(x,y,w \ a(u \ 1,u,z)).
(((x \ L(x,y,z)) * u) * (L(x,y,z) \ x)) / ((x \ L(x,y,z)) * u) = K((u / x) * L(x,y,z),(x \ L(x,y,z)) \ 1) / (x \ L(x,y,z)).
K((x / y) * L(y,z,u),(y \ L(y,z,u)) \ 1) / (y \ L(y,z,u)) = (((y \ L(y,z,u)) * x) * (L(y,z,u) \ y)) / ((y \ L(y,z,u)) * x).
K((x / y) * L(y,z,u),(y \ L(y,z,u)) \ 1) / (y \ L(y,z,u)) = L(x,y \ L(y,z,u),L(y,z,u) \ y) / ((y \ L(y,z,u)) * x).
L(x,y \ L(y,z,u),L(y,z,u) \ y) / ((y \ L(y,z,u)) * x) = K((x / y) * L(y,z,u),(y \ L(y,z,u)) \ 1) / (y \ L(y,z,u)).
a(L(x,y,y),z,u) * a(z * u,(y \ 1) \ (y \ x),a((y \ 1) \ (y \ x),z,u)) = ((y \ 1) \ (y \ x)) \ ((y \ 1) \ (y \ R(x,z,u))).
a(L(x,y,y),z,u) * a(z * u,(y \ 1) \ (y \ x),a(L(x,y,y),z,u)) = ((y \ 1) \ (y \ x)) \ ((y \ 1) \ (y \ R(x,z,u))).
a(L(x,y,y),z,u) * a(z * u,L(x,y,y),a(L(x,y,y),z,u)) = ((y \ 1) \ (y \ x)) \ ((y \ 1) \ (y \ R(x,z,u))).
((x \ 1) \ (x \ y)) \ ((x \ 1) \ (x \ R(y,z,u))) = L(y,x,x) \ R(L(y,x,x),z,u).
((x \ 1) \ (x \ y)) \ ((x \ 1) \ (x \ R(y,z,u))) = L(y,x,x) \ L(R(y,z,u),x,x).
((x \ 1) \ (x \ y)) \ ((x \ 1) \ (x \ R(y,z,u))) = R(y \ R(y,z,u),x,x).
((x \ 1) \ (x \ y)) \ R((x \ 1) \ (x \ y),z,u) = R(y \ R(y,z,u),x,x).
R(x \ R(x,y,z),u,u) = u \ ((u \ x) \ R((u \ x) * u,y,z)).
x \ ((x \ y) \ R((x \ y) * x,z,u)) = R(y \ R(y,z,u),x,x).
x \ ((y / x) \ R(y,z,u)) = R(y \ R(y,z,u),x,x).
R(x \ R(x,y,z),u,u) * u = (x / u) \ R(x,y,z).
L(x \ R(x,y,z),u,u) * u = (x / u) \ R(x,y,z).
(x / y) \ R(x,z,u) = (1 / y) \ (x \ R(x,z,u)).
(1 / x) \ (y \ R(y,z,u)) = (y / x) \ R(y,z,u).
((R(x,y,z) \ x) / u) \ 1 = (x / u) \ R(x,y,z).
((x / y) \ R(x,z,u)) \ 1 = y \ (R(x,z,u) \ x).
1 / (x \ (R(y,z,u) \ y)) = (y / x) \ R(y,z,u).
a(L(x,x,L(y,z,u)),w,v5) * a(w * v5,L(x,L(x,z,u),y),a(L(x,x,L(y,z,u)),w,v5)) = L(x,L(x,z,u),y) \ R(L(x,L(x,z,u),y),w,v5).
a(L(x,x,L(y,z,u)),w,v5) * a(w * v5,L(x,x,L(y,z,u)),a(L(x,x,L(y,z,u)),w,v5)) = L(x,L(x,z,u),y) \ R(L(x,L(x,z,u),y),w,v5).
L(x,L(x,y,z),u) \ R(L(x,L(x,y,z),u),w,v5) = L(x,x,L(u,y,z)) \ R(L(x,x,L(u,y,z)),w,v5).
L(x,L(x,y,z),u) \ R(L(x,L(x,y,z),u),w,v5) = L(x,x,L(u,y,z)) \ L(R(x,w,v5),x,L(u,y,z)).
L(x,L(x,y,z),u) \ R(L(x,L(x,y,z),u),w,v5) = L(x \ R(x,w,v5),x,L(u,y,z)).
L(x,L(x,y,z),u) \ L(R(x,w,v5),L(x,y,z),u) = L(x \ R(x,w,v5),x,L(u,y,z)).
L(x \ R(x,y,z),x,L(u,w,v5)) = L(x \ R(x,y,z),L(x,w,v5),u).
L(x \ R(x,y,z),L(x,u,w),v5) = L(x \ R(x,y,z),x,L(v5,u,w)).
T(x * y,y \ ((y / x) * L(x,z,u))) * L(L(x,z,u) \ x,L(x,z,u),y) = (x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))).
R(T(L(x,y,x),z),R(1 / L(x,y,x),x,1),R(1 / L(x,y,x),x,1) \ z) = T(z \ (R(1 / L(x,y,x),x,1) \ z),R(1 / L(x,y,x),x,1)).
R(L(T(x,y),z,x),R(1 / L(x,z,x),x,1),R(1 / L(x,z,x),x,1) \ y) = T(y \ (R(1 / L(x,z,x),x,1) \ y),R(1 / L(x,z,x),x,1)).
R(L(T(x,y),z,x),1 / L(x,z,x),R(1 / L(x,z,x),x,1) \ y) = T(y \ (R(1 / L(x,z,x),x,1) \ y),R(1 / L(x,z,x),x,1)).
R(L(T(x,y),z,x),1 / L(x,z,x),(1 / L(x,z,x)) \ y) = T(y \ (R(1 / L(x,z,x),x,1) \ y),R(1 / L(x,z,x),x,1)).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = R(L(T(y,x),z,y),1 / L(y,z,y),(1 / L(y,z,y)) \ x).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = R(L(T(y,x),z,y),1 / L(y,z,y),(L(y,z,y) \ 1) \ x).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = R(L(T(y,x),z,y),1 / L(y,z,y),(y \ 1) \ x).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = R(L(T(y,x),z,y),L(y,z,y) \ 1,(y \ 1) \ x).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = R(L(T(y,x),z,y),y \ 1,(y \ 1) \ x).
L(R(T(x,y),x \ 1,(x \ 1) \ y),z,x) = T(y \ (R(1 / L(x,z,x),x,1) \ y),R(1 / L(x,z,x),x,1)).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = L(R(T(y,x),y \ 1,(y \ 1) \ x),z,y).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = L(x \ (1 * ((y \ 1) \ x)),z,y).
T(x \ (R(1 / L(y,z,y),y,1) \ x),R(1 / L(y,z,y),y,1)) = L(x \ ((y \ 1) \ x),z,y).
T(x \ ((1 / L(y,z,y)) \ x),R(1 / L(y,z,y),y,1)) = L(x \ ((y \ 1) \ x),z,y).
T(x \ ((1 / L(y,z,y)) \ x),1 / L(y,z,y)) = L(x \ ((y \ 1) \ x),z,y).
L(x \ ((y \ 1) \ x),z,y) = x \ ((L(y,z,y) \ 1) \ x).
L(x,L(y \ a(y,y,y),y \ 1,z),L(z \ ((y \ 1) \ z),y,y) \ 1) = L(x,y \ a(y,y,y),y \ a(y,y,y)).
L(x,L(y \ a(y,y,y),y \ 1,z),L((z \ ((y \ 1) \ z)) \ 1,y,y)) = L(x,y \ a(y,y,y),y \ a(y,y,y)).
L(x,y \ a(y,y,y),y \ a(y,y,y)) = L(x,L(y \ a(y,y,y),y \ 1,z),y \ a(y,y,z)).
L(x,L(y \ a(y,y,y),y \ 1,z),y \ a(y,y,z)) = L(x,y \ a(y,y,y),y \ a(y,y,y)).
L(x,y \ a(y,y,y),y \ a(y,y,y)) = L(x,L(y \ 1,y \ 1,z),y \ a(y,y,z)).
L(x,L(y \ 1,y \ 1,z),y \ a(y,y,z)) = L(x,y \ a(y,y,y),y \ a(y,y,y)).
L(x,y \ a(y,y,y),y \ a(y,y,y)) = L(x,L(y \ 1,y,z \ 1),y \ a(y,y,z)).
L(x,L(y \ 1,y,z \ 1),y \ a(y,y,z)) = L(x,y \ a(y,y,y),y \ a(y,y,y)).
L(x,L(y \ 1,y,z \ 1),y \ a(y,y,z)) = (y \ 1) \ (y \ x).
a(x,((y \ 1) \ (y \ z)) * L(y \ 1,y,u \ 1),w) = a(x,(L(y \ 1,y,u \ 1) \ 1) \ z,w).
a(x,(L(y \ 1,y,z \ 1) \ 1) \ u,w) = a(x,a(z \ 1,y,y) * (y \ u),w).
a(x,(L(y \ 1,y,z \ 1) \ 1) \ u,w) = a(x,L(y,y,z \ 1) \ u,w).
a(x,L((y \ 1) \ 1,y \ 1,z) \ u,w) = a(x,L(y,y,z \ 1) \ u,w).
a(x,L(y,y,z \ 1) \ u,w) = a(x,L(y,y \ 1,z) \ u,w).
a(x,L(y,y \ 1,z) \ u,w) = a(x,L(y,y,z \ 1) \ u,w).
a(x,L(y,y,(z \ 1) \ 1) \ z,u) = a(x,L(y \ 1,y,z * z) * z,u).
a(x,L(y,y,z) \ z,u) = a(x,L(y \ 1,y,z * z) * z,u).
a(x,L(y \ 1,y,z * z) * z,u) = a(x,L(y,y,z) \ z,u).
a(x,L(y \ z,y,z),u) = a(x,L(y \ 1,y,z * z) * z,u).
a(x,L(y \ 1,y,z * z) * z,u) = a(x,L(y \ z,y,z),u).
L(L(x,y,z),x,u) * (a(u,x,L(x,y,z)) * (L(L(x,y,z),x,u) \ w)) = (L(L(x,y,z),x,u) \ L(L(L(x,y,z),x,u),x,u \ 1)) * w.
a(((x \ 1) \ (x \ y)) * (z \ (x \ 1)),(x \ 1) \ (x \ y),(x \ 1) \ (x \ y)) = a(z \ (x \ T(y,x \ 1)),(x \ 1) \ (x \ y),L(y,x,x)).
a(((x \ 1) \ (x \ y)) * (z \ (x \ 1)),(x \ 1) \ (x \ y),(x \ 1) \ (x \ y)) = a(z \ (x \ T(y,x \ 1)),L(y,x,x),L(y,x,x)).
a(((x \ 1) \ (x \ y)) * (z \ (x \ 1)),(x \ 1) \ (x \ y),(x \ 1) \ (x \ y)) = a(z \ (x \ y),L(y,x,x),L(y,x,x)).
a(x \ (y \ z),L(z,y,y),L(z,y,y)) = a(((y \ 1) \ (y \ z)) * (x \ (y \ 1)),(y \ 1) \ (y \ z),L(z,y,y)).
a(((x \ 1) \ (x \ y)) * (z \ (x \ 1)),(x \ 1) \ (x \ y),L(y,x,x)) = a(z \ (x \ y),L(y,x,x),L(y,x,x)).
a(x \ (y \ z),L(z,y,y),L(z,y,y)) = a(((y \ 1) \ (y \ z)) * (x \ (y \ 1)),L(z,y,y),L(z,y,y)).
a(((x \ 1) \ (x \ y)) * (z \ (x \ 1)),L(y,x,x),L(y,x,x)) = a(z \ (x \ y),L(y,x,x),L(y,x,x)).
a(x \ (y \ z),L(z,y,y),L(z,y,y)) = a(L(z,y,y) * (x \ (y \ 1)),L(z,y,y),L(z,y,y)).
a(L(x,y,y) * (z \ (y \ 1)),L(x,y,y),L(x,y,y)) = a(z \ (y \ x),L(x,y,y),L(x,y,y)).
T(x * y,(y \ (y / x)) * L(x,z,u)) * L(L(x,z,u) \ x,L(x,z,u),y) = (x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))).
T(x * y,(y \ (y / x)) * x) * L(L(x,z,u) \ x,L(x,z,u),y) = (x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))).
T(x * y,z * ((y * z) \ y)) * L(L(x,u,w) \ x,L(x,u,w),y) = (x * y) * ((L(x,u,w) * y) \ T(x * y,(x * y) \ (L(x,u,w) * y))).
(x * y) * L(L(x,z,u) \ x,L(x,z,u),y) = (x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))).
(x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))) = (x * y) * L(L(x,z,u) \ x,L(x,z,u),y).
(x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))) = x * (y * L(L(x,z,u) \ x,L(x,z,u),y)).
(x * y) * ((L(x,z,u) * y) \ T(x * y,(x * y) \ (L(x,z,u) * y))) = x * (x * (L(x,z,u) \ y)).
(x * y) * ((L(x,z,u) * y) \ T(x * y,y \ ((y / x) * L(x,z,u)))) = x * (x * (L(x,z,u) \ y)).
(x * y) * ((L(x,z,u) * y) \ T(x * y,(y \ (y / x)) * L(x,z,u))) = x * (x * (L(x,z,u) \ y)).
(x * y) * ((L(x,z,u) * y) \ T(x * y,(y \ (y / x)) * x)) = x * (x * (L(x,z,u) \ y)).
(x * y) * ((L(x,z,u) * y) \ T(x * y,w * ((y * w) \ y))) = x * (x * (L(x,z,u) \ y)).
(x * y) * ((L(x,z,u) * y) \ (x * y)) = x * (x * (L(x,z,u) \ y)).
(x * y) / (x * (x * (L(x,z,u) \ y))) = y \ ((y / x) * L(x,z,u)).
x \ ((x / y) * L(y,z,u)) = (y * (L(y,z,u) \ x)) \ x.
(x * (L(x,y,z) \ u)) \ u = u \ ((u / x) * L(x,y,z)).
(x \ ((x / y) * L(y,z,u))) \ x = y * (L(y,z,u) \ x).
(L(x / y,z,u) \ x) \ y = y \ ((y / (y \ x)) * L(y \ x,z,u)).
x \ ((x / (x \ y)) * L(x \ y,z,u)) = (L(y / x,z,u) \ y) \ x.
L(x \ L(x,y,z),x,u) \ u = x * (L(x,y,z) \ u).
L(x \ L(x,y,z),x,u) * (x * (L(x,y,z) \ u)) = u.
x * (L(x,y,z) \ u) = u * ((L(x,y,z) * (x \ u)) \ u).
x * ((L(y,z,u) * (y \ x)) \ x) = y * (L(y,z,u) \ x).
x \ (y * (L(y,z,u) \ x)) = (L(y,z,u) * (y \ x)) \ x.
(L(x,y,z) * (x \ u)) \ u = u \ (x * (L(x,y,z) \ u)).
((x / y) * L(y,z,u)) \ x = x \ (y * (L(y,z,u) \ x)).
((x * (y * z)) / z) \ (x * y) = (x * y) \ (z * (L(z,y,x) \ (x * y))).
(x * y) \ (z * (L(z,y,x) \ (x * y))) = ((x * (y * z)) / z) \ (x * y).
(x * L(x \ y,z,u)) \ y = y \ ((x \ y) * (L(x \ y,z,u) \ y)).
x \ ((y \ x) * (L(y \ x,z,u) \ x)) = (y * L(y \ x,z,u)) \ x.
(x \ y) * (y \ (x * (L(x,z,u) \ y))) = x * (L(x,z,u) \ (x \ y)).
(x \ (y * (L(y,z,u) \ x))) \ x = (x / y) * L(y,z,u).
a(x,y,L(z,y,x)) \ y = (y / z) * L(z,y,x).
(a(x,y,L(z,y,x)) \ y) * z = y * L(z,y,x).
(a(x,y,L(z,y,x)) \ y) \ (y * L(z,y,x)) = z.
L(x \ L(x,y,z),x,y) = y \ (a(z,y,L(x,y,z)) \ y).
L(L(x,y,z) \ x,x,y) = (y \ (a(z,y,L(x,y,z)) \ y)) \ 1.
x \ (x * (y \ (x * L(x \ y,z,u)))) = (L(y / x,z,u) \ y) \ x.
(x * L(x \ y,z,z)) \ y = a(z,z,L(x \ y,x \ y,y)).
a(x,x,L(y \ z,y \ z,z)) = (y * L(y \ z,x,x)) \ z.
(x * L(x \ y,z,z)) \ y = a(z,z,(y \ x) \ 1).
(x * a(y,z,a(x,u,u))) \ x = a(u,u,(x \ R(x,z,y)) \ 1).
a(x,x,(y \ R(y,z,u)) \ 1) = (y * a(u,z,a(y,x,x))) \ y.
a(x,x,(y \ R(y,z,u)) \ 1) = y \ (a(u,z,a(y,x,x)) \ y).
a(x,x,(y \ R(y,z,u)) \ 1) = y \ (a(a(y,x,x),z,u) * y).
a(x,x,(y \ R(y,z,u)) \ 1) = a(a(y,x,x),z,u).
a(x,x,R(y,z,u) \ y) = a(a(y,x,x),z,u).
a(x \ L(x,y,z),u,u) = a(a(x,u,u),y,z).
a(x \ 1,x,y \ R(y,z,u)) = a(a(y,x,x),z,u).
a(x,x,L(y,z,u) \ y) = a(a(y,x,x),z,u).
(a(a(x,y,y),z,u) * w) \ (w * y) = L(y,y,x \ L(x,z,u)).
L(x,x,y \ L(y,z,u)) = (a(a(y,x,x),z,u) * w) \ (w * x).
a(x,x,R(L(y,z,u) \ y,w,v5)) = a(a(R(y,w,v5),x,x),z,u).
a(a(x,y,y),z,u) \ w = w * a(L(x,z,u) \ x,y,y).
x * a(L(y,z,u) \ y,w,w) = a(a(y,w,w),z,u) \ x.
a(a(T(x,y) \ 1,z,z),u,w) = a(z,z,x \ L(x,u,w)).
a(a((x \ 1) \ y,z,z),x,y) = a(z,z,a(y,x,x)).
L(a(a(x,y,y),z,u),x,(u * z) \ 1) = a(y \ 1,y,a(x \ 1,z,u) \ 1).
a(x,x,a(y,z,z)) = a(y,z,a(y \ (z \ 1),x,x)).
a(x,y,a(x \ (y \ 1),z,z)) = a(z,z,a(x,y,y)).
x * y != a(a(z,u,u),w,v5) \ y | x = a(v5,w,a(z,u,u)).
a(L(x,y,z) \ x,u,u) = a(z,y,a(x,u,u)).
a(a(x,x,y),z,z) = a(x,x,a(y,z,z)).
a(L(x,y,z) \ x,y,y) = 1.
a(L(x,y,z) \ x,y,y) \ u = u.
1 = a(x,x,L(y,x,z) \ y).
a(x,x,L(y,x,z) \ y) = 1.
a(x \ L(x,y,z),y,y) = 1.
L(x,x,y \ L(y,x,z)) = x.
L(x,x,R(y \ L(y,x,z),u,w)) = x.
L(x,x,L(y \ L(y,x,z),u,w)) = x.
x = L(x,x,a(y,x,z)).
L(x,x,a(y,x,z)) = x.
a(a(x,y,z),y,y) = 1.
(1 / x) * a(y,x,z) = a(y,x,z) / x.
R(a(x,y,1) * a(z,u,w),u,L(u,y,x)) = R(a(z,u,w),u,u).
a(x,x,a(y,z,z)) * z = L(z,z,a(y,x,x)).
x * (y * a(z,z,a(u,x,x))) = L(x,x,a(u,z,z)) * y.
L(a(x,y,z) \ y,a(x,y,z),y \ 1) = (a(x,y,z) / y) \ 1.
a(a(x \ 1,y,y),z,u) = a(y,y,x \ L(x,z,u)).
a(x,x,y \ L(y,z,u)) = a(a(x,x,y),z,u).
a(x,x,R(y \ L(y,z,u),w,v5)) = a(a(x,x,R(y,w,v5)),z,u).
L(x,x,a(y,z,z)) * u != x * w | u * a(z,z,a(y,x,x)) = w.
L(x,x,y \ L(y,z,u)) = x * a(a(x,x,y),z,u).
L(x,x,R(y \ L(y,z,u),w,v5)) = x * a(a(x,x,R(y,w,v5)),z,u).
(x * y) * L(a(a(T(x,y),T(x,y),z),u,w),x,y) = y * L(T(x,y),T(x,y),z \ L(z,u,w)).
a(x,x,L(L(y,z,u) \ y,w,v5)) = a(a(R(y,w,v5),x,x),z,u).
R(1 * a(x,y,z),y,L(y,u,w)) = R(a(x,y,z),y,y).
R(a(x,y,z),y,L(y,u,w)) = R(a(x,y,z),y,y).
L(a(x,y,z),y,L(y,u,w)) = R(a(x,y,z),y,y).
L(a(x,y,z),y,y) = L(a(x,y,z),y,L(y,u,w)).
L(a(x,y,z),y,L(y,u,w)) = L(a(x,y,z),y,y).
(a(x,y,z) / y) \ 1 = (a(x,y,z) \ 1) * y.
a(x,x,L(y \ L(y,z,u),w,v5)) = a(a(x,x,R(y,w,v5)),z,u).
a(x,x,L(L(y,z,u) \ y,w,v5)) = a(a(L(y,w,v5),x,x),z,u).
a(x,x,L(y \ L(y,z,u),w,v5)) = a(a(x,x,L(y,w,v5)),z,u).
a(x,x,L(L(y,z,u) \ y,w,v5)) = a(a(y,x,L(x,w,v5)),z,u).
a(a(x,x,L(y,z,u)),w,v5) = a(x,x,L(y \ R(y,w,v5),z,u)).
a(x,x,L(y \ R(y,z,u),w,v5)) = a(a(x,x,L(y,w,v5)),z,u).
a(a(x,x,L(y,y,z * u)),u,z) = a(x,x,a(y,u,z)).
a(a(x,y,L(y,x,z * u)),u,z) = a(a(x,u,z),y,y).
(x \ y) * (y \ (x * (L(x,z,u) \ y))) = L(x,z,u) \ y.
(x \ y) \ (L(x,z,u) \ y) = y \ (x * (L(x,z,u) \ y)).
(x \ y) * a(z,y,L(x,y,z)) = L(x,y,z) \ y.
(x \ y) * a(z,z,L(x,x,y)) = L(x,z,z) \ y.
T(x,x \ y) \ (L(x \ y,y,z) \ y) = a(z,y,L(x \ y,y,z)).
a(x,y,L(z \ y,y,x)) = T(z,z \ y) \ (L(z \ y,y,x) \ y).
a(x,y,L(z,y,x)) * (z \ y) = L(z,y,x) \ y.
L(x,y,a(L(z,z,u),w,w) \ (z \ u)) = L(x,y,L(z,w,w) \ u).
(x \ (y * (L(y,z,u) \ x))) * (y \ x) = L(y,z,u) \ x.
a(x,y,L(z \ y,y,x)) = z \ (L(y / z,y,x) \ y).
L(x,y,a(z,u,L(u,z,w)) \ (z \ w)) = L(x,y,L(z,u,u) \ w).
L(x,y,R(z,u,u) \ w) = L(x,y,L(z,u,u) \ w).
L(x,y,L(z,u,u) \ w) = L(x,y,R(z,u,u) \ w).
(L(x / y,z,u) \ x) \ y = x \ (y * L(y \ x,z,u)).
L((x / y) \ x,a(z,u,w),x) \ y = x \ (y * L(y \ x,a(z,u,w),x)).
L((x / y) \ x,z,a(u,w,x)) \ y = x \ (y * L(y \ x,z,a(u,w,x))).
(x \ (y * L(y \ x,z,u))) \ y = L(x / y,z,u) \ x.
(x \ ((y \ x) * L((y \ x) \ x,z,u))) \ (y \ x) = L(y,z,u) \ x.
(x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) \ x = L(L(x,y,z) / x,u,w) \ L(x,y,z).
(x * L(x \ 1,y,z)) \ u = L((x \ u) / u,y,z) \ (x \ u).
L((x \ y) / y,z,u) \ (x \ y) = (x * L(x \ 1,z,u)) \ y.
L(x,x,L(y \ L(y,z,u),w,v5)) = x * a(a(x,x,R(y,w,v5)),z,u).
(x \ (L(y,z,u) * (y \ x))) \ (y \ x) = L(y,z,u) \ x.
L(x,x,L(y \ L(y,z,u),w,v5)) = x * a(a(x,x,L(y,w,v5)),z,u).
(x * y) \ (x * (y * a(x,y,z))) = ((x * (y * z)) / z) \ (x * y).
((x * (y * z)) / z) \ (x * y) = (x * y) \ (x * (y * a(x,y,z))).
L(a(x,y,z),y,x) = ((x * (y * z)) / z) \ (x * y).
((x * (y * z)) / z) \ (x * y) = L(a(x,y,z),y,x).
((x * (y * z)) / z) \ (x * y) = a(x,y,z).
a(x,y,z) = ((x * (y * z)) / z) \ (x * y).
a(x,y,y \ z) = ((x * z) / (y \ z)) \ (x * y).
((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y).
a(R(x,y,z),R(u,y,z),w) = ((R(x,y,z) * (R(u,y,z) * w)) / w) \ R(x * u,y,z).
((R(x,y,z) * (R(u,y,z) * w)) / w) \ R(x * u,y,z) = a(R(x,y,z),R(u,y,z),w).
a(R(x,y,z),y,z) = (((x * y) * z) / z) \ (R(x,y,z) * y).
(((x * y) * z) / z) \ (R(x,y,z) * y) = a(R(x,y,z),y,z).
a(x,y,z) \ (x * y) = (x * (y * z)) / z.
a(x,a(x,y,z),y * z) = (((x * y) * z) / (y * z)) \ (x * a(x,y,z)).
(((x * y) * z) / (y * z)) \ (x * a(x,y,z)) = a(x,a(x,y,z),y * z).
a(x,y,z * (1 / y)) = ((x * z) / (y \ z)) \ (x * y).
((x * y) / (z \ y)) \ (x * z) = a(x,z,y * (1 / z)).
(x * (y * z)) / z = x * (a(x,y,z) \ y).
((x * y) * a(x,y,z)) \ (x * y) = (x * y) \ ((x * (y * z)) / z).
(x * (a(x,y,z) \ y)) * z = x * (y * z).
L(x,y,(z * u) \ (u * (w * z))) = L(x,y,L(a(u,w,z) \ w,u,z)).
L(x,y,L(a(z,u,w) \ u,z,w)) = L(x,y,(w * z) \ (z * (u * w))).
(a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(a(u,w,a(x,y,z)) \ w,u,a(x,y,z)).
L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = (a(z,u,w) * x) \ (x * (y * a(z,u,w))).
a(x,y,(z * u) \ (u * (w * z))) = a(x,y,L(a(u,w,z) \ w,u,z)).
a(x,y,L(a(z,u,w) \ u,z,w)) = a(x,y,(w * z) \ (z * (u * w))).
a(x,a(x,y,z) \ y,z) = ((a(x,y,z) \ y) * z) \ (x \ (x * (y * z))).
((a(x,y,z) \ y) * z) \ (x \ (x * (y * z))) = a(x,a(x,y,z) \ y,z).
a(x,y,z * (1 / y)) = a(x,y,y \ z).
a(x,y,y \ z) = a(x,y,z * (y \ 1)).
a(x,y,z * (y \ 1)) = a(x,y,y \ z).
a(x,y,y \ ((y \ 1) \ z)) = a(x,y,z).
a(x,y,z) = a(x,y,L(z,y,y)).
a(x,y,L(z,y,y)) = a(x,y,z).
a(x,y,y \ (z \ y)) = a(x,y,((y \ 1) \ z) \ y).
a(x,y,((y \ 1) \ z) \ y) = a(x,y,y \ (z \ y)).
(x * y) \ (R(x,y,z) * y) = a(R(x,y,z),y,z).
a(R(x,y,z),y,z) = (x * y) \ (R(x,y,z) * y).
a(R(x,y,z),y,z) = y \ ((y / x) * R(x,y,z)).
a(L(x,y,z),y,z) = y \ ((y / x) * R(x,y,z)).
a(x * y,z,a(x,u,y)) = z \ ((z / (x * y)) * R(x * y,z,a(x,u,y))).
x \ ((x / (y * z)) * R(y * z,x,a(y,u,z))) = a(y * z,x,a(y,u,z)).
a(L(x \ y,y,z),y,z) = y \ (x * R(x \ y,y,z)).
a(L(L(x \ 1,x,y),y,z),y,z) = y \ ((y * x) * R(L(x \ 1,x,y),y,z)).
a(L(x * x,x,y),x,y) = x \ (x \ R(x * x,x,y)).
a(L(x,y,z),y,z) * y = (y / x) * R(x,y,z).
L(x \ R(x,y,z),x,y) = a(L(x,y,z),y,z).
L(a(L(x,y,z),y,z),x,z * y) = L(a(x,y,z),x,y).
L((x \ 1) \ R(x \ 1,a(x,y,z),u),a(x,y,z),x \ 1) = a(L(x \ 1,a(x,y,z),u),a(x,y,z),u).
x * (a(L(x,y,z),y,z) * y) = R(x,y,z) * y.
a(L(x * x,x,y),x,y) * x = x \ R(x * x,x,y).
T(a(L(x,y,z),y,z) * y,x) = x \ (y * R(x,y,z)).
a(x,y,(z / u) * L(u,z,w)) = a(x,y,a(L(u,z,w),z,w) * z).
a(x,y,a(L(z,u,w),u,w) * u) = a(x,y,(u / z) * L(z,u,w)).
a(L(x \ y,y,z),y,z) \ 1 = (y \ x) \ R(y \ x,y,z).
((x * y) / (z * y)) \ (x / z) = a(L(x \ z,z,y),z,y).
a(L(x \ y,y,z),y,z) = ((x * z) / (y * z)) \ (x / y).
x \ (R(x,y,z) * R(R(x,y,z) \ x,x,y * z)) = a(a(x,y,z) \ 1,x,y * z).
a(L(L(x,y,z) \ x,x,u),x,u) = x \ (L(x,y,z) * L(L(x,y,z) \ x,x,u)).
a(L(x * x,x,y),x,y) = x \ R(R(x,x,y),x,y).
a(L(x * x,x,y),x,y) = a(x,x,y) * a(x,x,y).
L(x,y,a(L(z * z,z,u),z,u)) = L(x,y,a(z,z,u * u)).
L(x \ (a(L(x * x,x,y),x,y) \ z),x,a(L(x * x,x,y),x,y)) = (x \ R(x * x,x,y)) \ z.
(x * (y * a(x,y,z))) \ (x * y) = (x * y) \ ((x * (y * z)) / z).
(x * y) \ ((x * (y * z)) / z) = (y * x) \ ((a(x,y,z) \ y) * x).
L(x,y,L(a(z,u,w) \ u,z,w)) = L(x,y,L(u,w,z)).
a(x,y,L(a(z,u,w) \ u,z,w)) = a(x,y,L(u,w,z)).
R(x,y,z) \ (x * a(x,y,z)) = a(x,a(x,y,z),y * z).
a(x,a(x,y,z),y * z) = x * (R(x,y,z) \ a(x,y,z)).
x * (R(x,y,z) \ a(x,y,z)) = a(x,a(x,y,z),y * z).
a(x,a(x,y,z),y * z) / (R(x,y,z) \ a(x,y,z)) = x.
a(x * y,z,a(z,x,y)) \ 1 = a(z,a(z,x,y),x * y).
x = (a(x,y,z) / R(x,y,z)) \ a(x,a(x,y,z),y * z).
(a(x,y,z) / R(x,y,z)) \ a(x,a(x,y,z),y * z) = x.
a(x,a(x,y,z),y * z) \ a(x,y,z) = x \ R(x,y,z).
((a(x,y,z) \ y) * z) \ (y * z) = a(x,a(x,y,z) \ y,z).
a(x,a(x,y,z) \ y,z) = ((a(x,y,z) \ y) * z) \ (y * z).
a(x,a(x,y,z) \ y,z) = a(x,y,z).
a(a(x,y,z),a(x,y,z) \ y,a(x,y,z) \ y) = 1.
a(x,x \ R(x,y,z),y * z) = a(x,a(x,y,z),y * z).
1 = (a(x,y,z) \ y) * (y \ a(x,y,z)).
(a(x,y,z) \ y) * (y \ a(x,y,z)) = 1.
(a(x,y,z) \ y) \ 1 = y \ a(x,y,z).
(a(x,y,z) / y) \ 1 = a(x,y,z) \ y.
a(x,y,z) \ y = (a(x,y,z) \ 1) * y.
(a(x,y,z) \ 1) * y = a(x,y,z) \ y.
a(x,y,z) \ 1 = y \ (a(x,y,z) \ y).
x \ (a(y,x,z) \ x) = a(y,x,z) \ 1.
L(a(x,y,z) \ 1,y,u) = (y * u) \ ((a(x,y,z) \ y) * u).
(x * y) \ ((a(z,x,u) \ x) * y) = L(a(z,x,u) \ 1,x,y).
L(x \ L(x,y,z),x,y) = a(z,y,L(x,y,z)) \ 1.
a(x,x,a(y,z,L(u,z,y)) \ 1) = a(a(x,x,L(u,u,z)),z,y).
a(a(x,x,L(y,y,z)),z,u) = a(x,x,a(u,z,L(y,z,u)) \ 1).
(x * y) \ ((x * (y * z)) / z) = L(a(x,y,z) \ 1,y,x).
(x * y) \ ((x * (y * z)) / z) = a(x,y,z) \ 1.
L(x \ L(x,y,z),x,y * z) = a(z,y,x) \ 1.
L(x,a(y,z,u) \ 1,w) = L(x,a(u,z,y),w).
L(L(x,y,z) \ x,x,y * z) = (a(z,y,x) \ 1) \ 1.
L(x,a(y,z,u),a(u,z,y)) = L(x,a(u,z,y),a(u,z,y) \ 1).
L(x,a(y,z,u),a(y,z,u) \ 1) = L(x,a(u,z,y),a(y,z,u)).
a(a(x,y,z),u,w) \ 1 = a(w,u,a(x,y,z)).
a(x,a(y,z,u),w) \ 1 = a(w,a(y,z,u),x).
a(x,y,a(z,u,w)) \ 1 = a(a(z,u,w),y,x).
L(x,y,a(z,u,w) \ 1) = L(x,y,a(w,u,z)).
a(x,y,a(z,u,w)) * a(a(z,u,w),y,x) = 1.
a(x,y,a(z,u,w)) * x = a(a(z,u,w),y,x) \ x.
a(a(x,y,z),u,w) \ w = a(w,u,a(x,y,z)) * w.
x * a(x,y,a(z,u,w)) = a(a(z,u,w),y,x) \ x.
a(a(x,y,z),u,w) \ w = w * a(w,u,a(x,y,z)).
a(x,y,a(z,u,y)) * L(y,w,v5) = a(y,a(z,u,y),x) \ L(y,w,v5).
a(x,a(y,z,x),u) \ L(x,w,v5) = a(u,x,a(y,z,x)) * L(x,w,v5).
a(x,y,a(z,u,y)) \ a(y,w,v5) = a(y,w,v5) * a(y,a(z,u,y),x).
L(a(x,y,a(z,u,w)),v5,v6) = L(a(a(z,u,w),y,x),v5,v6) \ 1.
L(a(a(x,y,z),u,w),v5,v6) \ 1 = L(a(w,u,a(x,y,z)),v5,v6).
a(x,a(y,z,u),w) * a(w,a(y,z,u),x) = 1.
a(x,a(y,z,u),w) \ a(w,v5,v6) = a(w,v5,v6) * a(w,a(y,z,u),x).
a(x,y,a(y,z,u)) \ 1 = a(y,a(y,z,u),x).
L(a(x,a(y,z,u),w),v5,v6) \ 1 = L(a(w,a(y,z,u),x),v5,v6).
L(a(x,y,z),x,u) \ a(x,y,z) = a(u,a(x,y,z),x).
a(x,a(y,z,u),w) * a(y,z,u) = a(w,a(y,z,u),x) \ a(y,z,u).
a(x,a(y,z,u),w) \ a(y,z,u) = a(w,a(y,z,u),x) * a(y,z,u).
a(a(x,y,z),u,w) * u = a(w,u,a(x,y,z)) \ u.
a(x,y,a(z,u,w)) \ y = a(a(z,u,w),y,x) * y.
L(x,a(y,z,u),a(u,z,y)) = x * a(a(y,z,u),a(y,z,u),x).
x * a(a(y,z,u),a(y,z,u),x) = L(x,a(y,z,u),a(u,z,y)).
L(x,x \ 1,a(y,z,u)) = L(x,x,a(u,z,y)).
L(1 / x,x,a(y,z,u)) = a(x,x,a(u,z,y)) / x.
L(1 / x,x \ 1,a(y,z,u)) = L(1 / x,x,a(u,z,y)).
L(x,x,a(y,z,u)) = x * a(a(u,z,y),x,x).
x * a(a(y,z,u),x,x) = L(x,x,a(u,z,y)).
L(a(x,y,z),u,a(w,v5,x)) = a(x,y,z).
a(x,y,z) * L(u,w,a(v5,v6,x)) = L(a(x,y,z) * u,w,a(v5,v6,x)).
L(a(x,y,z) * u,w,a(v5,v6,x)) = a(x,y,z) * L(u,w,a(v5,v6,x)).
L(x,y,a(z,u,w)) * a(w,v5,v6) = L(x * a(w,v5,v6),y,a(z,u,w)).
L(x * a(y,z,u),w,a(v5,v6,y)) = L(x,w,a(v5,v6,y)) * a(y,z,u).
L(x,y,a(z,u,w)) \ a(w,v5,v6) = L(x \ a(w,v5,v6),y,a(z,u,w)).
L(x \ a(y,z,u),w,a(v5,v6,y)) = L(x,w,a(v5,v6,y)) \ a(y,z,u).
1 != a(x,y,a(z,u,w)) * v5 | a(a(z,u,w),y,x) = v5.
a(x,y,a(z,u,w)) * v5 != 1 | a(a(z,u,w),y,x) = v5.
a(x,y,a(y,z,u)) * x = L(x,y,a(y,z,u)).
a(x,y,a(y,z,u)) = x \ L(x,y,a(y,z,u)).
x \ L(x,y,a(y,z,u)) = a(x,y,a(y,z,u)).
L(x,y,a(y,z,u)) = x * a(x,y,a(y,z,u)).
x * a(x,y,a(y,z,u)) = L(x,y,a(y,z,u)).
(x \ y) * a(y,x,a(x,z,u)) = L(x \ y,x,a(x,z,u)).
a(x,a(x,y,z),u \ x) = a(u,x,a(x,y,z)).
a(x,a(y,z,x),u) \ u = u * a(u,x,a(y,z,x)).
L(L(x,y,z) \ x,x,y * z) = a(z,y,x).
a(x,y,z) = L(L(z,y,x) \ z,z,y * x).
a(x,y,z) = L(L(z,y,x) \ z,z,x * y).
L(L(x,y,z * R(T(u,w),v5,v6)) \ x,x,y * (z * R(T(u,w),v5,v6))) = a(z * R(u,v5,v6),y,x).
a(1 / x,a(x,y,z),u) = L(L(u,a(x,y,z),1 / x) \ u,u,a(x,y,z) / x).
L(L(x,a(y,z,u),1 / y) \ x,x,a(y,z,u) / y) = a(1 / y,a(y,z,u),x).
a(a(x,y,z),x \ 1,u) = L(L(u,x \ 1,a(x,y,z)) \ u,u,x \ a(x,y,z)).
L(L(x,y \ 1,a(y,z,u)) \ x,x,y \ a(y,z,u)) = a(a(y,z,u),y \ 1,x).
a(x * y,z,z \ R(z,x,y)) = L(a(z,x,y) \ (z \ R(z,x,y)),z \ R(z,x,y),z * (x * y)).
L(a(x,y,z) \ (x \ R(x,y,z)),x \ R(x,y,z),x * (y * z)) = a(y * z,x,x \ R(x,y,z)).
L(L(x,y,y \ L(y,z,u)) \ x,x,y * (y \ L(y,z,u))) = a(y,y \ L(y,z,u),x).
a(a(x,y,z),u,w) = a(a(z,y,x) \ 1,u,w).
a(a(x,y,z) \ 1,u,w) = a(a(z,y,x),u,w).
a(x \ R(y,z,u),w,v5) = L(L(v5,w,x \ L(y,z,u)) \ v5,v5,w * (x \ R(y,z,u))).
L(L(x,y,z \ L(u,w,v5)) \ x,x,y * (z \ R(u,w,v5))) = a(z \ R(u,w,v5),y,x).
a(x * y,z,a(y,x,z)) * (z * L(L(z,x,y) \ z,z,x * y)) = z * (L(z,x,y) \ z).
(L(x,y,z) * a(z,y,x)) \ x = L(x,y,z) \ (L(x / L(x,y,z),x,y * z) \ x).
L(x,y,z) \ (L(x / L(x,y,z),x,y * z) \ x) = (L(x,y,z) * a(z,y,x)) \ x.
a(x * y,z,a(y,x,z)) * ((L(z,x,y) \ z) \ z) = L(L(z,x,y) \ z,z,x * y) \ z.
a(x * y,z,a(y,x,z)) = L(z,x,y) \ (L(z / L(z,x,y),z,x * y) \ z).
L(x,y,z) \ (L(x / L(x,y,z),x,y * z) \ x) = a(y * z,x,a(z,y,x)).
a(a(x,y,z),z,y * x) = z \ ((z / (L(z,y,x) \ z)) * R(L(z,y,x) \ z,z,y * x)).
x \ ((x / (L(x,y,z) \ x)) * R(L(x,y,z) \ x,x,y * z)) = a(a(z,y,x),x,y * z).
a(x * L(x \ 1,y,z),u,w) = L(L(w,u,R(x,y,z) \ x) \ w,w,(x * L(x \ 1,y,z)) * u).
L(L(x,y,R(z,u,w) \ z) \ x,x,(z * L(z \ 1,u,w)) * y) = a(z * L(z \ 1,u,w),y,x).
a(x,x,a(y,z,u)) = a(a(u,z,y),x,x).
a(a(x,y,z),u,u) = a(u,u,a(z,y,x)).
a(x,x,a(y,z,u)) \ x = L(x,x,a(u,z,y)).
a(x,y,z) \ (u \ a(x,y,z)) = u \ a(u,u,a(z,y,x)).
a(x,x,a(y,z,u)) \ w = a(x,x,a(u,z,y)) * w.
a(x,x,a(y,x,z)) = 1.
L(a(x,y,z),y,y) = a(x,y,z).
L(a(x,y,z),y,y \ 1) = a(x,y,z).
L(a(x,y,z),y,L(y,u,w)) = a(x,y,z).
x \ (a(y,x,z) \ x) = (1 / x) * (a(y,x,z) \ x).
(1 / x) * (a(y,x,z) \ x) = x \ (a(y,x,z) \ x).
x * a(a(y,z,u),x,L(x,w,v5)) = L(x,x,L(a(u,z,y),w,v5)).
(x \ (a(y,x,z) \ x)) \ 1 = x * ((a(y,x,z) \ x) \ 1).
a(x,y,z) \ a(u,a(x,y,z),x) = L(a(x,y,z),x,u) \ 1.
L(a(x,y,z),x,u) \ a(x,y,z) = a(u,x,a(x,y,z)).
x * y != L(x,z,a(z,u,w)) | y = a(x,z,a(z,u,w)).
a(x,y,a(y,z,u)) = a(y \ x,y,a(y,z,u)).
a(x \ y,x,a(x,z,u)) = a(y,x,a(x,z,u)).
a(x,y,a(y,z,u)) = a(y * x,y,a(y,z,u)).
a(x * y,x,a(x,z,u)) = a(y,x,a(x,z,u)).
L(L(x,y,z) \ x,x,y) = y * ((a(z,y,L(x,y,z)) \ y) \ 1).
L(a(x,y,z) \ 1,x,u) = a(x,y,z) \ a(u,a(x,y,z),x).
a(x,y,z) \ a(u,a(x,y,z),x) = L(a(x,y,z) \ 1,x,u).
a(x,y,z) \ a(u,x,a(x,y,z)) = L(a(x,y,z) \ 1,x,u).
a(a(x,x,L(y,y,z)),z,u) = a(a(u,z,L(y,z,u)),x,x).
a(a(x,y,L(z,y,x)),u,u) = a(a(u,u,L(z,z,y)),y,x).
a(a(x,y,L(z,y,x)),u,u) = a(x,y,a(z,u,L(u,z,y))).
L(L(x,a(y,z,u),a(y,z,u)),a(u,z,y),a(y,z,u)) = x.
R(L(a(x,y,a(z,u,u)),w,v5),a(a(z,u,u),y,x),L(v6,w,v5)) = v6 / (L(a(x,y,a(u,u,z)),w,v5) * v6).
a(x,y,z) * ((1 / a(x,y,z)) * u) = L(u,a(x,y,z),a(z,y,x)).
L(L(x,y,z) \ x,x,y) = y * (y \ a(z,y,L(x,y,z))).
L(L(x,y,z) \ x,x,y) = a(z,y,L(x,y,z)).
L(L(L(x,y,z),u,w) \ L(x,y,z),L(x,y,z),u) = a(w,u,L(L(x,u,w),y,z)).
((L(x,y,z) \ x) \ a(z,y,L(x,y,z))) / L(L(x,y,z) \ x,x,y) = 1 / (L(x,y,z) \ x).
((L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,y)) \ 1 = a(z,y,L(x,y,z)) \ (L(x,y,z) \ x).
a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = ((L(z,y,x) \ z) \ L(L(z,y,x) \ z,z,y)) \ 1.
L(L(x,y,z) \ x,x,y) * (y * L(x,y,z)) = y * x.
L(L(L(x,y,z) \ x,x,y) \ (L(x,y,z) \ x),L(L(x,y,z) \ x,x,y),x) = a(y,x,a(z,y,L(x,y,z))).
L(L(x \ y,x,z) \ (x \ y),x \ y,x) = (x * ((z * x) \ (z * y))) \ y.
(L(x,y,z) \ x) \ a(z,y,L(x,y,z)) = L(x,y,z) * (x \ L(L(x,y,z) \ x,x,y)).
L(L(x,y,z) \ x,x,y) * y = x * (L(x,y,z) \ y).
(x * a(y,x,a(z,y,L(x,y,z)))) \ (x * (L(x,y,z) \ x)) = L(L(x,y,z) \ x,x,y).
(L(L(x,y,z) \ x,x,y) * y) \ (y * x) = L(x,y,z).
T(x * L(L(y,x,z) \ y,y,x),y) = L(y,x,z) \ (x * y).
L(L(a(x,y,z),x,L(u,x,w)) \ a(x,y,z),a(x,y,z),x) = a(L(u,x,w),x,L(a(x,y,z),x,u)).
L(L(x \ y,x,z) \ (x \ y),x \ y,x) = x \ (L(y / x,x,z) \ y).
L(L(x,y,z) \ x,x,y) \ y = (y / x) * L(x,y,z).
(L(L(x,y,z) \ x,x,y) \ y) * x = y * L(x,y,z).
L(L(x,y,z) \ x,x,y) * (x \ y) = L(x,y,z) \ y.
a(a(L(x,y,z),y,z),u,u) = a(u,u,L(L(x,y,z) \ x,x,y)).
a(a(L(x,y,z),y,z),u,u) = a(a(x,u,L(u,x,y)),y,z).
a(a(L(L(x,y,z),u,w),u,w),y,y) = a(a(x,y,L(y,L(x,y,z),u)),u,w).
a(a(L(x \ y,z,u),z,u),x,x) = a(a(y,x,L(x,x \ y,z)),z,u).
a(x,y,z) * ((a(x,y,z) \ 1) * u) = L(u,a(x,y,z),a(z,y,x)).
a(x,y,a(z,u,y)) * L(y,a(z,u,y),x) = y.
L(x,a(y,z,x),u) \ x = a(u,x,a(y,z,x)).
a(x,y,a(z,u,y)) \ a(y,w,v5) != v6 * a(y,a(z,u,y),x) | a(y,w,v5) = v6.
L(x,a(y,z,u),w) \ x = w \ (x * L(x \ w,a(y,z,u),w)).
x \ (y * L(y \ x,a(z,u,w),x)) = L(y,a(z,u,w),x) \ y.
L(x * y,a(z,u,w),x) \ (x * y) = L(y,a(z,u,w),x) \ y.
L(x,y,a(z,u,w)) \ x = w \ (x * L(x \ w,y,a(z,u,w))).
x \ (y * L(y \ x,z,a(u,w,x))) = L(y,z,a(u,w,x)) \ y.
x * (L(y,z,a(u,w,x)) \ y) = y * L(y \ x,z,a(u,w,x)).
x * L(x \ y,z,a(u,w,y)) = y * (L(x,z,a(u,w,y)) \ x).
x * L(x \ y,z,a(u,w,y)) != y * v5 | L(x,z,a(u,w,y)) \ x = v5.
x \ ((x / (y * z)) * (y * z)) = a(y * z,x,a(y,u,z)).
a(x * y,z,a(x,u,y)) = z \ ((z / (x * y)) * (x * y)).
a(x * y,z,a(x,u,y)) = z \ z.
a(x * y,z,a(x,u,y)) = 1.
L(a(x,y,z),u,x * z) = a(x,y,z).
a(x,y,z) = L(a(x,y,z),u,z * x).
L(a(x,y,z),u,z * x) = a(x,y,z).
L(a(x,a(y,z,u),y),w,y * x) = a(x,y,a(y,z,u)).
L(a(x,y,a(y,z,u)),w,y * x) = a(x,y,a(y,z,u)).
a(a(x,y,L(y,x,(z * u) \ 1)),u,z) = a(y \ 1,y,a(x \ 1,u,z) \ 1).
a(L(L(x \ 1,x,y),y,z),y,z) = y \ ((y * x) * L(R(x \ 1,y,z),x,y)).
a(a(x,y,L(y,x,z * u)),u,z) = a(y \ 1,y,a(x \ 1,u,z) \ 1).
a(x \ 1,x,a(y \ 1,z,u) \ 1) = a(a(y,z,u),x,x).
a(a(x,y,z),u,u) = a(u,u,a(x \ 1,y,z)).
a(x,x,a(y \ 1,z,u)) = a(a(y,z,u),x,x).
a(x,x,a(y,z,u)) = a(a(y \ 1,z,u),x,x).
a(a(x \ 1,y,z),u,u) = a(u,u,a(x,y,z)).
a(x,x,a(y,z,u)) = a(x,x,a(u,z,y \ 1)).
a(x,x,a(y,z,u \ 1)) = a(x,x,a(u,z,y)).
a(x,x,L(a(y,z,u \ 1),w,v5)) = L(a(x,x,a(u,z,y)),w,v5).
a(x,x,L(a(y,z,u),w,v5)) = a(x,x,L(a(u,z,y \ 1),w,v5)).
a(x,x,L(a(y,z,u \ 1),w,v5)) = a(x,x,L(a(u,z,y),w,v5)).
a(L(L(x \ 1,x,y),y,z),y,z) = y \ (y * (x * R(x \ 1,y,z))).
a(L(L(x \ 1,x,y),y,z),y,z) = y \ (y * (R(x,y,z) \ x)).
a(L(L(x \ 1,x,y),y,z),y,z) = R(x,y,z) \ x.
L(x,y,a(L(L(z \ 1,z,u),u,w),u,w)) = R(x,y,R(z,u,w) \ z).
a(L(L(x \ ((x \ 1) \ x),L(x,x,x) \ 1,y),y,z),y,z) = R(L(x,x,x) \ 1,y,z) \ (L(x,x,x) \ 1).
L(x,y,R(z,u,x) \ z) = x.
L(a(L(L(x \ 1,x,y),y,z \ 1),y,z \ 1),u,z) = R(x,y,z \ 1) \ x.
L(x,y,z \ R(z,u,x)) = x.
L(x,y,z \ L(z,u,x)) = x.
(x \ L(x,y,z)) \ z = x * (L(x,y,z) \ z).
x = L(x,y \ L(y,z,x),L(y,z,x) \ y).
L(x,y \ L(y,z,x),L(y,z,x) \ y) = x.
x / ((y \ L(y,z,x)) * x) = K((x / y) * L(y,z,x),(y \ L(y,z,x)) \ 1) / (y \ L(y,z,x)).
K((x / y) * L(y,z,x),(y \ L(y,z,x)) \ 1) / (y \ L(y,z,x)) = x / ((y \ L(y,z,x)) * x).
(x * (L(x,y,z) \ z)) \ z = x \ L(x,y,z).
x \ L(x,y,z) = z \ ((z / x) * L(x,y,z)).
x \ ((x / y) * L(y,z,x)) = y \ L(y,z,x).
L(x \ L(x,y,z),x,z) = x \ L(x,y,z).
L(L(x,y,z) \ x,x,z) = (x \ L(x,y,z)) \ 1.
(x \ y) \ L(x \ y,z,x) = y \ (x * L(x \ y,z,x)).
L(L(x,y,z) \ x,x,z) = L(x,y,z) \ x.
L(x,y,R(z,u,w) \ z) = R(x,y,R(z,u,w) \ z).
L(x,y,R(T(z,u) \ 1,w,v5) \ (T(z,u) \ 1)) = R(x,y,R(T(z,u) \ 1,w,v5) \ (z \ K(u,z))).
R(x,y,R(T(z,u) \ 1,w,v5) \ (z \ K(u,z))) = L(x,y,R(T(z,u) \ 1,w,v5) \ (T(z,u) \ 1)).
L(R(x,y,z \ 1) \ x,u,z) = R(x,y,z \ 1) \ x.
a(L(L(x,y,z) \ x,x,u),x,u) = L(x,y,z) * (x \ L(L(x,y,z) \ x,x,u)).
L(L(x,a(y,z,u),y \ 1) \ x,x,a(y,z,u) / y) = a(1 / y,a(y,z,u),x).
L(L(x,y \ 1,a(y,z,u)) \ x,x,a(y,z,u) / y) = a(1 / y,a(y,z,u),x).
a(1 / x,a(x,y,z),u) = L(L(u,x \ 1,a(x,y,z)) \ u,u,x \ a(x,y,z)).
L(L(x,y \ 1,a(y,z,u)) \ x,x,y \ a(y,z,u)) = a(1 / y,a(y,z,u),x).
a(1 / x,a(x,y,z),u) = a(a(x,y,z),x \ 1,u).
a(a(x,y,z),x \ 1,u) = a(1 / x,a(x,y,z),u).
a(a(x,y,z),x \ 1,u) = a(x \ 1,a(x,y,z),u).
x \ (R(x,y,z) * (a(x,y,z) \ 1)) = a(a(x,y,z) \ 1,x,y * z).
x \ (a(x,y,z) \ R(x,y,z)) = a(a(x,y,z) \ 1,x,y * z).
a(a(x,y,z) \ 1,x,y * z) = x \ (a(x,y,z) \ R(x,y,z)).
a(a(x,y,z) \ 1,x,y * z) = a(y * z,x,a(x,y,z)).
a(x * y,z,a(z,x,y)) = a(a(y,x,z),z,x * y).
a(a(x,y,z),z,y * x) = a(y * x,z,a(z,y,x)).
a(x * y,z,a(z,x,y)) = a(z,a(y,x,z),x * y).
L(x,y,z) \ (L(x / L(x,y,z),x,y * z) \ x) = (a(z,y,x) * L(x,y,z)) \ x.
(a(x,y,z) * L(z,y,x)) \ z = a(y * x,z,a(x,y,z)).
((R(x,y,z) * R(u * w,y,z)) / R(w,y,z)) \ R(x * u,y,z) = a(R(x,y,z),R(u,y,z),R(w,y,z)).
L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = L(y,a(z,u,w),x).
L(a(a(x,y,z),u,w) * u,w,a(x,y,z)) = L(u,a(x,y,z),w).
L(a(a(x,x,y),z,u),y,x * (x \ L(x,z,u))) = a(x,x \ L(x,z,u),y).
L(a(a(x,x,y),z,u),y,L(x,z,u)) = a(x,x \ L(x,z,u),y).
L(L(x,y,z \ L(u,w,v5)) \ x,x,y * (z \ L(u,w,v5))) = a(z \ R(u,w,v5),y,x).
a(x \ L(y,z,u),w,v5) = a(x \ R(y,z,u),w,v5).
a(x \ L(y * z,u,y),w,v5) = a(x \ (y * R(z,u,y)),w,v5).
a(L(x,y,z) \ L(u,y,z),w,v5) = a(L(x \ u,y,z),w,v5).
a(((x * y) \ x) \ L(z,y,x),u,w) = a(L((y \ 1) \ z,y,x),u,w).
a((T(x,x \ 1) \ y) \ L(z,x,x),u,w) = a(L(((x \ 1) * y) \ z,x,x),u,w).
a(L((x \ 1) \ y,x,z),u,w) = a((z \ (x \ z)) \ L(y,x,z),u,w).
a((x \ (y \ x)) \ L(z,y,x),u,w) = a(L((y \ 1) \ z,y,x),u,w).
a(L(((x \ 1) * y) \ z,x,x),u,w) = a((x \ y) \ L(z,x,x),u,w).
a(x * y,z,a(y,x,z)) * (z * a(y,x,z)) = z * (L(z,x,y) \ z).
x * (L(x,y,z) \ x) = a(z,y,x) * (a(y * z,x,a(z,y,x)) * x).
a(x,y,z) * (a(y * x,z,a(x,y,z)) * z) = z * (L(z,y,x) \ z).
(a(x * y,z,a(y,x,z)) * z) \ (z * (L(z,x,y) \ z)) = a(y,x,z).
a(x * y,z,a(y,x,z)) * L(z,x,y) = L(L(z,x,y) \ z,z,x * y) \ z.
L(L(x,y,z) \ x,x,y * z) \ x = a(y * z,x,a(z,y,x)) * L(x,y,z).
a(x,y,z) \ z = a(y * x,z,a(x,y,z)) * L(z,y,x).
a(x * y,z,a(y,x,z)) * L(z,x,y) = a(y,x,z) \ z.
x \ ((x / (L(x,y,z) \ x)) * R(L(x,y,z) \ x,x,y * z)) = a(x,a(z,y,x),y * z).
x \ (L(x,y,z) * R(L(x,y,z) \ x,x,y * z)) = a(x,a(z,y,x),y * z).
x \ (L(x,y,z) * L(L(x,y,z) \ x,x,y * z)) = a(x,a(z,y,x),y * z).
x \ (L(x,y,z) * a(z,y,x)) = a(x,a(z,y,x),y * z).
x \ (a(y,z,x) * L(x,z,y)) = a(x,a(y,z,x),z * y).
x * a(x,a(y,z,x),z * y) = a(y,z,x) * L(x,z,y).
a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = (L(z,y,x) * (z \ L(L(z,y,x) \ z,z,y))) \ 1.
(x * y) * L(a(a(x,x,z),u,w),x,y) = y * L(T(x,y),T(x,y),z \ L(z,u,w)).
(x \ R(x * x,x,y)) \ z = L(x \ (a(L(x * x,x,y),x,y) \ z),x,a(x,x,y * y)).
L(x \ (a(L(x * x,x,y),x,y) \ z),x,a(x,x,y * y)) = (x \ R(x * x,x,y)) \ z.
(x \ R(x * x,x,y)) \ z = x \ (a(L(x * x,x,y),x,y) \ z).
x \ (a(L(x * x,x,y),x,y) \ z) = (x \ R(x * x,x,y)) \ z.
L(L(x,y,z * L(T(u,w),v5,v6)) \ x,x,y * (z * R(T(u,w),v5,v6))) = a(z * R(u,v5,v6),y,x).
L(a(x * y,z,a(z,x,y)),z \ R(z,x,y),z * (x * y)) = a(x * y,z,z \ R(z,x,y)).
a(x * y,z,z \ R(z,x,y)) = a(x * y,z,a(z,x,y)).
a(x * L(x \ 1,y,z),u,w) = L(L(w,u,R(x,y,z) \ x) \ w,w,u * (R(x,y,z) \ x)).
L(L(x,y,R(z,u,w) \ z) \ x,x,y * (R(z,u,w) \ z)) = a(z * L(z \ 1,u,w),y,x).
a(R(x,y,z) \ x,u,w) = a(x * L(x \ 1,y,z),u,w).
a(x * L(x \ 1,y,z),u,w) = a(R(x,y,z) \ x,u,w).
a(L(x,y,z) \ x,u,w) = a(x * L(x \ 1,y,z),u,w).
a(x * L(x \ 1,y,z),u,w) = a(L(x,y,z) \ x,u,w).
a(a(x * x,y,y),z,u) = a(L(y,y * y,x) \ y,z,u).
L(L(a(x,y,z),x,u) \ a(x,y,z),a(x,y,z),x) = a(L(u,x,w),x,L(a(x,y,z),x,u)).
L(a(x,y,a(y,z,u)),a(y,z,u),y) = a(L(x,y,w),y,L(a(y,z,u),y,x)).
a(L(x,y,z),y,L(a(y,u,w),y,x)) = L(a(x,y,a(y,u,w)),y,a(y,u,w)).
L(a(x,y,a(y,z,u)),y,a(y,z,u)) = a(L(x,y,w),y,L(a(y,z,u),y,x)).
a(L(x,y,z),y,L(a(y,u,w),y,x)) = a(x,y,a(y,u,w)).
K((x / y) * L(y,z,x),(y \ L(y,z,x)) \ 1) / (y \ L(y,z,x)) = x \ ((y \ L(y,z,x)) \ x).
R(x,y,z \ R(z,u,w)) = L(x,y,R(T(z,v5) \ 1,u,w) \ (T(z,v5) \ 1)).
L(x,y,R(T(z,u) \ 1,w,v5) \ (T(z,u) \ 1)) = R(x,y,z \ R(z,w,v5)).
L(x,y,T(z,u) \ R(T(z,u),w,v5)) = R(x,y,z \ R(z,w,v5)).
L(x,y,z \ R(z,u,w)) = R(x,y,z \ R(z,u,w)).
L(x,y,z \ L(z,u,w)) = R(x,y,z \ R(z,u,w)).
R(x \ 1,y,z \ R(z,u,w)) = L(x,y,z \ L(z,u,w)) \ 1.
L(x \ 1,y,z \ L(z,u,w)) = L(x,y,z \ L(z,u,w)) \ 1.
x \ L((1 / x) \ 1,y,y \ L(y,z,u)) = a(a(x,y,y),z,u).
x \ L(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u).
a(a(x,y,y),z,u) * x = L(x,y,y \ L(y,z,u)).
L(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u) * x.
L(a(a(x,y,y),z,u),x,L(y,z,u)) = a(x,y,y \ L(y,z,u)).
L(x,y,y \ L(y,x,z)) = a(x,a(x,y,y),z) * x.
a(a(x,y,L(y,x,L(y,z,u))),z,u) = a(x,y,y \ L(y,z,u)).
a(a(x,y,L(y,x,y)),z,u) = a(x,y,y \ L(y,z,u)).
a(a(x,y,y),z,u) = a(x,y,y \ L(y,z,u)).
a(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u).
a(x,y \ L(y,z,u),y) = a(a(x,y,y),z,u).
a(a(x,y,y),z,u) = a(x,y,y \ R(y,z,u)).
a(x,y,y \ R(y,z,u)) = a(a(x,y,y),z,u).
a(a(x * y,z,z),x,y) = a(x * y,z,a(z,x,y)).
L(L(x,y,z * L(u,w,v5)) \ x,x,y * (z * R(T(u,v6),w,v5))) = a(z * R(u,w,v5),y,x).
L(L(x,y,z * L(u,w,v5)) \ x,x,y * (z * L(T(u,v6),w,v5))) = a(z * R(u,w,v5),y,x).
a(x * R(y,z,u),w,v5) = L(L(v5,w,x * L(y,z,u)) \ v5,v5,(x * L(y,z,u)) * w).
L(L(x,y,z * L(u,w,v5)) \ x,x,(z * L(u,w,v5)) * y) = a(z * R(u,w,v5),y,x).
a(x * L(y,z,u),w,v5) = a(x * R(y,z,u),w,v5).
a(x * (y * L(z,u,w)),v5,v6) = a((x * y) * R(L(z,y,x),u,w),v5,v6).
a((x * y) * R(L(z,y,x),u,w),v5,v6) = a(x * (y * L(z,u,w)),v5,v6).
a(x * L(y,z,u),w,v5) = a(R(y,z,u) * x,w,v5).
a(R(x,y,z) * u,w,v5) = a(u * L(x,y,z),w,v5).
a((x * y) * L(R(z,y,x),u,w),v5,v6) = a((R(z,u,w) * y) * x,v5,v6).
a(R(x,y,z) * u,w,v5) = a(L(x,y,z) * u,w,v5).
a(L(x,y,z) * u,w,v5) = a(R(x,y,z) * u,w,v5).
a(x * L(L(y,z,u),w,v5),v6,v7) = a(R(L(y,w,v5),z,u) * T(x,y),v6,v7).
a(R(L(x,y,z),u,w) * T(v5,x),v6,v7) = a(v5 * L(L(x,u,w),y,z),v6,v7).
a((x * y) * L(R(z,u,w),y,x),v5,v6) = a(x * (y * L(z,u,w)),v5,v6).
a((R(x,y,z) * u) * w,v5,v6) = a((L(x,y,z) * u) * w,v5,v6).
a((L(x,y,z) * u) * w,v5,v6) = a((R(x,y,z) * u) * w,v5,v6).
a((L((x \ y) * x,z,u) * w) * v5,v6,v7) = a(v5 * (R(y,z,u) * w),v6,v7).
a(x * (y * R(z,u,w)),v5,v6) = a(x * (y * L(z,u,w)),v5,v6).
a(x * (y * L(z,u,w)),v5,v6) = a(x * (y * R(z,u,w)),v5,v6).
a((x \ a(y * L(z,u,w),x,x)) * (y * L(z,u,w)),v5,v6) = a(x \ (y * R(z,u,w)),v5,v6).
a(L(R(x,y,z),u,w) * T(v5,x),v6,v7) = a(v5 * L(L(x,y,z),u,w),v6,v7).
a(x * (R(y,z,u) * w),v5,v6) = a(x * (L(y,z,u) * w),v5,v6).
a(x * (L(y,z,u) * w),v5,v6) = a(x * (R(y,z,u) * w),v5,v6).
a((x \ a(L(y,z,u) * w,x,x)) * (L(y,z,u) * w),v5,v6) = a(x \ (R(y,z,u) * w),v5,v6).
a(x * L(R(y,z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7).
a(x * L(L(y,z,u),w,v5),v6,v7) = a(x * L(R(y,z,u),w,v5),v6,v7).
a(x \ (y * R(z,u,w)),v5,v6) = a(x \ (y * L(z,u,w)),v5,v6).
a(x \ (y * L(z,u,w)),v5,v6) = a(x \ (y * R(z,u,w)),v5,v6).
a(x \ L(y * z,u,y),w,v5) = a(x \ (y * L(z,u,y)),w,v5).
a(x \ L(y * z,u,y),w,v5) = a(x \ (L(z,u,y) * y),w,v5).
a(x \ (R(y,z,u) * w),v5,v6) = a(x \ (L(y,z,u) * w),v5,v6).
a(x \ (L(y,z,u) * w),v5,v6) = a(x \ (R(y,z,u) * w),v5,v6).
a(x \ (L(y \ 1,z,z) * z),u,w) = a(x \ ((y \ 1) * L(z,z,y)),u,w).
a(x \ L(y * (z \ 1),y,y),u,w) = a(x \ ((z \ 1) * L(y,y,z)),u,w).
a(x \ ((y \ 1) * L(z,z,y)),u,w) = a(x \ ((z \ 1) \ (y \ 1)),u,w).
a(x \ ((y \ 1) * L(z,z,y)),u,w) = a(x \ ((z \ y) \ 1),u,w).
K((x / y) * L(y,z,x),(y \ L(y,z,x)) \ 1) / (y \ L(y,z,x)) = x \ (y * (L(y,z,x) \ x)).
K(x * (y \ L(y,z,x)),(y \ L(y,z,x)) \ 1) / (y \ L(y,z,x)) = x \ (y * (L(y,z,x) \ x)).
K(x * (y \ L(y,z,x)),L(y,z,x) \ y) / (y \ L(y,z,x)) = x \ (y * (L(y,z,x) \ x)).
1 / (x \ L(x,y,z)) = z \ (x * (L(x,y,z) \ z)).
x \ (y * (L(y,z,x) \ x)) = 1 / (y \ L(y,z,x)).
x \ (y * (L(y,z,x) \ x)) = (y \ L(y,z,x)) \ 1.
x \ (y * (L(y,z,x) \ x)) = L(y,z,x) \ y.
x * (L(y,z,x) \ y) = y * (L(y,z,x) \ x).
(L(x,y,z) \ x) * z = x * (L(x,y,z) \ z).
(x * y) \ (y * T(x * a(x * y,x,L(y,x,x * y)),y)) = L(y,x,x * y) \ y.
x \ ((y \ L(y,z,u)) * (y * (L(y,z,u) \ x))) = L(y \ L(y,z,u),y,x) \ (y \ L(y,z,u)).
L(x \ L(x,y,z),x,u) \ (x \ L(x,y,z)) = u \ ((x \ L(x,y,z)) * (x * (L(x,y,z) \ u))).
a(x,a(y,y,x),z) = L(z,x,a(y,y,x)) \ z.
L(x,y,a(z,z,y)) \ x = a(y,a(z,z,y),x).
a(x,y,z) * (L(u,w,a(x,y,z)) \ u) = u * L(u \ a(x,y,z),w,a(x,y,z)).
x * L(x \ a(y,z,u),y,a(y,z,u)) = L(a(y,z,u),y,x).
L(a(x,y,z) / u,x,a(x,y,z)) \ L(a(x,y,z),x,u) = u.
L(a(x,y,a(y,z,u)) / w,y,a(y,a(y,z,u),x \ y)) \ L(a(y,a(y,z,u),x \ y),y,w) = w.
(x * y) \ (y * T(x * a(x * y,x,L(y,x,x)),y)) = L(y,x,x * y) \ y.
(x * y) \ (y * T(x * a(x * y,x,y),y)) = L(y,x,x * y) \ y.
(x * y) \ (y * (y \ R(x * y,x,y))) = L(y,x,x * y) \ y.
(x * y) \ R(x * y,x,y) = L(y,x,x * y) \ y.
L(x,y,y * x) \ x = a(y * x,y,x).
a(x * y,x,y) \ y = L(y,x,x * y).
L(L(x,y,x),y,y) = L(x,y,y * x).
L(L((1 / x) * y,x,(1 / x) * y),x,x) = L((1 / x) * y,x,x \ ((x * x) * (x \ y))).
L((1 / x) * y,x,x \ ((x * x) * (x \ y))) = L(L((1 / x) * y,x,(1 / x) * y),x,x).
L((1 / x) * y,x,x \ ((x * x) * (x \ y))) = L(L((1 / x) * y,x,x \ y),x,x).
L((1 / x) * y,x,x \ ((x * x) * (x \ y))) = L(x \ y,x,x \ y).
L((1 / x) * y,x,x \ ((x * x) * (x \ y))) = T(y / x,y).
L((1 / x) * y,x,x * ((1 / x) * y)) = T(y / x,y).
T(x / y,x) = L((1 / y) * x,y,y * ((y \ 1) * x)).
L((1 / x) * y,x,x * ((x \ 1) * y)) = T(y / x,y).
T(x / y,x) = L((1 / y) * x,y,L(x,y,y \ 1)).
L((1 / x) * y,x,L(y,x,x \ 1)) = T(y / x,y).
T(x / y,x) = L((1 / y) * x,y,x).
L((1 / x) * y,x,y) = T(y / x,y).
L(x \ L(x,y,z),x,u) \ (x \ L(x,y,z)) = u \ L(u,x,x \ L(x,y,z)).
L(x \ L(x,y,z),x,u) \ (x \ L(x,y,z)) = a(a(u,x,x),y,z).
a(a(x,y,y),z,u) = L(y,z,u) * (y \ L(L(y,z,u) \ y,y,x)).
L(x,y,z) * (x \ L(L(x,y,z) \ x,x,u)) = a(a(u,x,x),y,z).
a(L(L(x,y,z) \ x,x,u),x,u) = a(a(u,x,x),y,z).
(L(x,y,z) \ x) \ a(z,y,L(x,y,z)) = a(a(y,x,x),y,z).
a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = a(a(y,z,z),y,x) \ 1.
(L(x,y,z) \ x) \ a(z,y,L(x,y,z)) = a(y,a(y,x,x),z).
a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = a(y,a(y,z,z),x) \ 1.
L(a(x,y,a(y,z,u)) / w,y,a(x,y,a(y,z,u))) \ L(a(y,a(y,z,u),x \ y),y,w) = w.
L(a(x,y,a(y,z,u)) / w,y,a(x,y,a(y,z,u))) \ L(a(x,y,a(y,z,u)),y,w) = w.
L((x \ 1) \ L(x \ 1,a(x,y,z),u),a(x,y,z),x \ 1) = a(L(x \ 1,a(x,y,z),u),a(x,y,z),u).
L(R(a(x,y,a(z,u,u)),a(a(z,u,u),y,x),L(w,v5,v6)),v5,v6) = w / (L(a(x,y,a(u,u,z)),v5,v6) * w).
(R(x * (y * z),u,w) / R(z,u,w)) \ R(x * y,u,w) = a(R(x,u,w),R(y,u,w),R(z,u,w)).
R((x * (y * z)) / z,u,w) \ R(x * y,u,w) = a(R(x,u,w),R(y,u,w),R(z,u,w)).
a(R(x,y,z),R(u,y,z),R(w,y,z)) = R((x * (u * w)) / w,y,z) \ R(x * u,y,z).
a(R(x,y,z),R(u,y,z),R(w,y,z)) = R(((x * (u * w)) / w) \ (x * u),y,z).
R(((x * (y * z)) / z) \ (x * y),u,w) = a(R(x,u,w),R(y,u,w),R(z,u,w)).
R(a(x,y,z),u,w) = a(R(x,u,w),R(y,u,w),R(z,u,w)).
a(R(x,y,z),R(u,y,z),R(w,y,z)) = R(a(x,u,w),y,z).
a(L(x,y,z),u,u) = a(R(x,y,z),R(u,y,z),R(u,y,z)).
a(R(x,y,z),R(u,y,z),R(u,y,z)) = a(L(x,y,z),u,u).
a(R(x,y,z),R(u,y,z),L(u,y,z)) = a(L(x,y,z),u,u).
a(R(x,y,z),L(u,y,z),L(u,y,z)) = a(L(x,y,z),u,u).
a(L(x,y,z),L(u,y,z),L(u,y,z)) = a(L(x,y,z),u,u).
a(L(x,y,z),u,u) = a(x,L(u,y,z),L(L(u,y,z),y,z)).
a(x,L(y,z,u),L(L(y,z,u),z,u)) = a(L(x,z,u),y,y).
a(x,L(y,z,u),L(L(y,z,u),z,u)) = a(x,y,L(y,z,u)).
a(L(x,y,z) \ u,x,L(x,w,v5)) = a(R(x \ u,w,v5),R(x,w,v5),R(x,w,v5)).
a(R(x \ y,z,u),R(x,z,u),R(x,z,u)) = a(L(x,w,v5) \ y,x,L(x,z,u)).
R(L(x,y,z),R(u,y,z),R(u,y,z)) * (L(x,y,z) \ L(x,y,z)) = a(x,u,L(u,y,z)) * L(x,y,z).
a(R(x \ y,z,u),R(x,z,u),L(x,z,u)) = a(L(x,w,v5) \ y,x,L(x,z,u)).
a(R(x \ y,z,u),L(x,z,u),L(x,z,u)) = a(L(x,w,v5) \ y,x,L(x,z,u)).
a(L(x \ y,z,u),L(x,z,u),L(x,z,u)) = a(L(x,w,v5) \ y,x,L(x,z,u)).
a(L(x,y,z) \ u,x,L(x,w,v5)) = a(x \ u,L(x,w,v5),L(L(x,w,v5),w,v5)).
a(L(x,y,z) \ u,x,L(x,w,v5)) = a(x \ u,x,L(x,w,v5)).
R(L(x,y,z),R(u,y,z),R(u,y,z)) * (L(x,y,z) \ L(x,y,z)) = L(R(x,u,u),y,z).
R(L(x,y,z),R(u,y,z),L(u,y,z)) * (L(x,y,z) \ L(x,y,z)) = L(R(x,u,u),y,z).
R(L(x,y,z),L(u,y,z),L(u,y,z)) * (L(x,y,z) \ L(x,y,z)) = L(R(x,u,u),y,z).
L(R(x,L(y,z,u),L(y,z,u)),z,u) * (L(x,z,u) \ L(x,z,u)) = L(R(x,y,y),z,u).
L(R(x,L(y,z,u),L(y,z,u)),z,u) * 1 = L(R(x,y,y),z,u).
L(R(x,L(y,z,u),L(y,z,u)),z,u) = L(R(x,y,y),z,u).
L(x * L(x \ 1,a(x,y,z),u),a(x,y,z),x \ 1) = a(L(x \ 1,a(x,y,z),u),a(x,y,z),u).
L(L(x,a(x,y,z),u) \ x,a(x,y,z),x \ 1) = a(L(x \ 1,a(x,y,z),u),a(x,y,z),u).
a(L(x \ 1,a(x,y,z),u),a(x,y,z),u) = L(L(x,a(x,y,z),u) \ x,x \ 1,a(x,y,z)).
L(L(x,a(x,y,z),u) \ x,x \ 1,a(x,y,z)) = a(L(x \ 1,a(x,y,z),u),a(x,y,z),u).
a(L(x \ 1,a(x,y,z),u),a(x,y,z),u) = L(x,a(x,y,z),u) \ x.
L(L(a(x,y,a(z,u,u)),a(a(z,u,u),y,x),L(w,v5,v6)),v5,v6) = w / (L(a(x,y,a(u,u,z)),v5,v6) * w).
L(a(x,y,a(z,u,u)),w,v5) = v6 / (L(a(x,y,a(u,u,z)),w,v5) * v6).
x / (L(a(y,z,a(u,u,w)),v5,v6) * x) = L(a(y,z,a(w,u,u)),v5,v6).
L(a(x,y,a(z,u,u)),w,v5) = v6 \ (L(a(x,y,a(u,u,z)),w,v5) \ v6).
x \ (L(a(y,z,a(u,u,w)),v5,v6) \ x) = L(a(y,z,a(w,u,u)),v5,v6).
x \ (a(a(y,z,L(z,u,w)),v5,v6) \ x) = L(a(v6,v5,a(y,z,z)),u,w).
x \ (a(y,z,a(u,w,L(w,v5,v6))) * x) = L(a(y,z,a(u,w,w)),v5,v6).
L(a(x,y,a(z,u,u)),w,v5) = a(x,y,a(z,u,L(u,w,v5))).
a(x,y,a(z,u,L(u,w,v5))) = L(a(x,y,a(z,u,u)),w,v5).
a(x,y,a(z,u,L(u,w,x))) = a(x,y,a(z,u,u)).
a(x,y,a(z,u,L(u,w,v5))) = L(a(a(u,u,z),y,x),w,v5).
a(x,y,a(x \ (z \ 1),u,u)) = a(x,y,a((z * x) \ 1,u,u)).
a(x,y,a((z * x) \ 1,u,u)) = a(x,y,a(x \ (z \ 1),u,u)).
a(x,y,a(z,u,L(u,z,L(u,y,x)))) = a(u,u \ L(u,y,x),z).
(x * y) * a(z,u,a(w,x,L(x,x,y))) = y * L(T(x,y),T(x,y),w \ L(w,u,z)).
a(x,y,a(x \ (z \ 1),u,u)) = a(x,y,a(u,u,z * x)).
a(x,y,a(z,z,y * x)) = a(z,z,a(x,y,y)).
a(a(x * y,z,z),x,y) = a(z,z,a(y,x,x)).
a(x,x,a(y,z,z)) = a(z * y,x,a(x,z,y)).
a(x * y,z,a(z,x,y)) = a(z,z,a(y,x,x)).
a(x,x,a(y,z,z)) \ R(x,z,y) = x * a(x,z,y).
a(x,x,a(y,z,z)) * a(x,z,y) = x \ R(x,z,y).
a(x,x,a(y,z,z)) = a(x,a(y,z,x),z * y).
a(x,a(y,z,x),z * y) = a(x,x,a(y,z,z)).
a(x,x,a(y,z,z)) * a(y,z,x) = L(a(y,z,x),x,z * y).
x * a(x,x,a(y,z,z)) = a(y,z,x) * L(x,z,y).
a(x,y,z) * L(z,y,x) = z * a(z,z,a(x,y,y)).
x * a(x,y,z) = a(a(z,y,y),x,x) * R(x,y,z).
a(a(x,y,y),z,z) * R(z,y,x) = z * a(z,y,x).
x * a(x,y,z) = a(x,x,a(y,y,z)) * R(x,y,z).
a(x,x,a(y,y,z)) * R(x,y,z) = x * a(x,y,z).
a(x,y,z) * L(z,y,x) = R(z,z,a(x,y,y)).
a(x,y,z) \ R(z,z,a(x,y,y)) = L(z,y,x).
L(x,y,z) = a(z,y,x) \ R(x,x,a(z,y,y)).
L(x,x,a(y,z,z)) = a(y,z,x) * L(x,z,y).
a(x,y,z) * L(z,y,x) = L(z,z,a(x,y,y)).
L(x,y,z) = a(z,y,x) \ L(x,x,a(z,y,y)).
a(x,y,z) \ L(z,z,a(x,y,y)) = L(z,y,x).
x * L(y,z,u) != L(y,w,v5) | x = L(y,z,u) \ L(y,w,v5).
a(x,y,z) = L(z,y,x) \ L(z,z,a(x,y,y)).
L(x,y,z) \ L(x,x,a(z,y,y)) = a(z,y,x).
a(x,y,z) * (u * a(a(x,y,z),L(z,y,x),L(z,y,x) \ u)) = L(z,z,a(x,y,y)) * (L(z,y,x) \ u).
L(x,x,a(y,z,z)) \ x = a(z * y,x,a(y,z,x)).
a(x * y,z,a(y,x,z)) = L(z,z,a(y,x,x)) \ z.
L(x,y,z) \ L(x,x,a(y,y,z)) = a(z,y,x).
L(x,y,y \ z) \ L(x,x,a(y,y,z)) = a(y \ z,y,x).
L(x,y,L(a(z,u,w) \ u,z,w)) \ L(x,x,a(y,y,L(u,w,z))) = a(L(a(z,u,w) \ u,z,w),y,x).
L(x,x,a(y,z,z)) \ R(x,z,y) = a(x,z,y).
L(x,x,a(y,z,z)) * a(x,z,y) = R(x,z,y).
R(x,y,z) = L(x,x,a(z,y,y)) * a(x,y,z).
((a(x,y,z) / L(x,x,a(z,y,y))) * R(x,y,z)) / a(x,y,z) = L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y)) \ a(x,y,z)).
L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y)) \ a(x,y,z)) = ((a(x,y,z) / L(x,x,a(z,y,y))) * R(x,y,z)) / a(x,y,z).
a(x,y,z) * L(x,x,a(z,y,y)) = R(x,y,z).
R(x,y,z) = a(x,y,z) * L(x,x,a(z,y,y)).
R(1 / a(x,y,z),a(x,y,z),L(x,x,a(z,y,y))) = L(x,x,a(z,y,y)) / R(x,y,z).
R(x,y,z) = L(x,x,a(y,y,z)) * a(x,y,z).
R(x,(y * z) \ y,u) = a(x,y \ (z \ y),u) * L(x,x,a(u,y \ (z \ y),y \ (z \ y))).
a(x,y \ (z \ y),u) * L(x,x,a(u,y \ (z \ y),y \ (z \ y))) = R(x,(y * z) \ y,u).
R(x,y,z) = a(x,y,z) * L(x,x,a(y,y,z)).
R(x,y \ a(z,y,y),u) = a(x,z \ (y \ z),u) * L(x,x,a(u,y \ a(z,y,y),y \ a(z,y,y))).
a(x,y \ (z \ y),u) * L(x,x,a(u,z \ a(y,z,z),z \ a(y,z,z))) = R(x,z \ a(y,z,z),u).
(1 / L(x,x,a(y,y,z))) * R(x,y,z) = L(a(x,y,z),L(x,x,a(y,y,z)),L(x,x,a(y,y,z)) \ 1).
L(a(x,y,z),L(x,x,a(y,y,z)),L(x,x,a(y,y,z)) \ 1) = (1 / L(x,x,a(y,y,z))) * R(x,y,z).
R(a(x,x,a(y,y,z)) * x,y,z) = x * a(x,y,z).
a(x * y,z,a(y,x,z)) = a(a(y,x,x),z,z).
R(L(x,x,a(y,y,z)),y,z) = x * a(x,y,z).
a(x,y,L(L(z,u,w),z,a(u,u,w))) = a(x,y,z * a(z,u,w)).
R(L(x,x,a(y,z,z)),z,y) = x * a(x,z,y).
L(R(x,y,z),x,a(z,y,y)) = x * a(x,y,z).
R(a(x,x,a(y,z,z)) * z,x,y) = z * a(z,x,y).
x * a(x,y,z) = a(y,y,a(z,x,x)) * R(x,y,z).
a(x,x,a(y,z,z)) * R(z,x,y) = z * a(z,x,y).
x * R(y,z,u) != y * a(y,z,u) | x = a(y,y,a(z,z,u)).
a(x,x,a(y,z,z)) = a(z,z,a(x,x,y)).
x * R(y,z,u) != y * a(y,z,u) | x = a(a(u,z,z),y,y).
a(x,x,a(y,z,z)) = a(a(y,x,x),z,z).
a(a(x,y,y),z,z) = a(y,y,a(x,z,z)).
a(x,x,a(y,z,z)) \ u = a(z,z,a(y,x,x)) * u.
a(x,x,a(y,y,z)) * a(y,x,z) = y \ R(y,x,z).
a(x * y,z,a(y,x,z)) = a(x,x,a(y,z,z)).
(a(x,x,a(y,z,z)) * z) \ (z * (L(z,x,y) \ z)) = a(y,x,z).
a(x,x,a(y,z,z)) * L(z,x,y) = a(y,x,z) \ z.
L(x,y,y \ (y \ 1)) \ x = a(y \ (y \ 1),y,x).
L(L(x,y,y),y,y) = a(y \ (y \ 1),y,x) * x.
a(x \ (x \ 1),x,y) = y \ L(L(y,x,x),x,x).
x \ L(L(x,y,y),y,y) = a(y \ (y \ 1),y,x).
R(x * x,x,y) \ (x * x) = a(x \ (x \ 1),x,y).
a(x \ (x \ 1),x,y) * R(R(x,x,y),x,y) = x.
a(x,y,a(z,u,L(u,z,u))) = a(u,u \ L(u,y,x),z).
a(x,y,a(z,u,u)) = a(u,u \ L(u,y,x),z).
a(x,x \ L(x,y,z),u) = a(z,y,a(u,x,x)).
a(x,y,a(z,u,u)) = a(u,u \ R(u,y,x),z).
a(x,x \ R(x,y,z),u) = a(z,y,a(u,x,x)).
a(x,x,a(y,z,z)) = a(z,a(z,x,x),y).
a(x,a(x,y,y),z) = a(y,y,a(z,x,x)).
a(x,a(x,y,y),z * u) = a(y,y,a(u * z,x,x)).
a(x,a(x,y,y),z) * y = L(y,y,a(z,x,x)).
a(a(x,x,y),z,z) = a(x,a(x,z,z),y).
a(x,a(x,y,y),L(z,u,w)) = a(y,y,a(z,x,L(x,u,w))).
a(x,x,a(y,z,z)) = a(y,z,a(x,x,z)).
a(x,y,a(z,z,y)) = a(z,z,a(x,y,y)).
x * a(y,y,a(x,z,z)) = L(x,z,a(y,y,z)).
a(x,x,a(y,z,z)) * y = L(y,z,a(x,x,z)).
a(x,a(y,y,x),z) = a(y,y,a(z,x,x)).
a(x,x,a(y,z,z)) = a(y,z,a(z,x,x)).
a(x,y,a(y,z,z)) = a(z,z,a(x,y,y)).
a(x,y,y) * a(y,a(y,z,z),x) = a(x,y,L(y,z,z \ 1)).
a(x,a(y,y,x),z) = a(a(x,x,z),y,y).
a(a(x,x,y),z,z) = a(x,a(z,z,x),y).
a(x,a(x,y,y),z) = a(x,x,a(z,y,y)).
a(x,x,a(y * (z \ 1),u,u)) = a(u,a(u,x,x),z * (y \ 1)).
a(x,a(x,y,y),z * (u \ 1)) = a(y,y,a(u * (z \ 1),x,x)).
a(x,x,y) \ a(x,x,L(y,z,z)) = a(x,a(z,z,x),y).
a(x,a(y,y,x),z) = a(x,x,a(z,y,y)).
L(x,y,a(y,z,z)) \ x = a(y,y,a(x,z,z)).
a(x,y,y) * a(x,x,a(z,y,y)) = a(x,y,L(y,x,z)).
a(x,x,a(y,z,z)) = a(y,x,a(z,z,x)).
a(x,y,a(z,z,y)) = a(y,y,a(x,z,z)).
a(x,x,a(y,z,z)) = a(y,x,a(x,z,z)).
a(x,y,a(y,z,z)) = a(y,y,a(x,z,z)).
x * a(y,y,a(x,z,z)) = L(x,y,a(y,z,z)).
L(x,y,y \ L(y,x,z)) = a(x,x,a(z,y,y)) * x.
(L(x,y,z) \ x) \ a(z,y,L(x,y,z)) = a(y,y,a(z,x,x)).
a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = a(y,y,a(x,z,z)) \ 1.
a(x,a(x,y,y),z) = a(y,y,a(x,x,z)).
x \ L(x,y,a(y,z,z)) = a(y,y,a(x,z,z)).
a(x,a(y,y,x),z) = a(y,y,a(x,x,z)).
a(a(x,y,y),z,z) = a(y,a(z,z,y),x).
a(x \ y,x \ y,a(z,x,x)) = a(z,x \ y,a(x,x,y)).
a(x,y,a(y,z,z)) = a(z,z,a(y,y,x)).
a(x,y,y) * a(y,a(y,z,z),x) = a(x,y,L(y,z,z)).
a(x,x,a(y,y,z)) = a(x,x,a(z,y,y)).
a(x,x,a(y,z,z)) = a(x,x,a(z,z,y)).
a(x,x,a(y,y,z)) * z = L(z,y,a(y,x,x)).
a(x,x,a(y,y,L(z,u,x))) = a(y,a(x,x,y),z).
a(x,x,a(x \ y,z,z)) = a(z,a(x,x,z),y \ x).
a(x,a(y,y,x),z \ y) = a(y,y,a(y \ z,x,x)).
a(x,x,a(x \ (y \ 1),z,z)) = a(z,a(x,x,z),y * x).
a(x,x \ 1,a(y,z,z)) = a(z,a(x,x,z),y).
x * a(y,a(x,x,y),z) = L(x,x,a(y,y,z)).
a(x,x,a(y,y,L(z,x,u))) = a(y,a(x,x,y),z).
a(x \ y,a(x,x,x \ y),z) \ y = L(y,x,a(z,x \ y,x \ y)).
a(x,a(y,y,x),(z \ x) * u) = a(y,y,a((u \ 1) * z,x,x)).
a(a(x,x,y * (z \ (y \ 1))),y,y) = a(x,a(y,y,x),z).
a(x,x,a(y,y,z)) * u = u * a(x,x,a(z,y,y)).
a(x,x,a(y,y,z)) = a(y,y,a(x,x,z)).
a(x,x,a(y,z,z)) * a(z,x,y) = z \ R(z,x,y).
a(x,x,a(y \ 1,z,z)) = a(z,z,a(x,x,y)).
a(R(1 / x,x,x \ y),R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)),u) = a(z,y,a(u,R(1 / x,x,x \ y),R(1 / x,x,x \ y))).
a(x,y,a(y * x,z,z)) = a(z,a(z,y,x),y * x).
a(x,a(x,y,z),y * z) = a(z,y,a(y * z,x,x)).
(x * L(y,z,a(x,x,z))) \ (x * y) = a(x,x,a(z,z,y)).
L(x,y,a(y,z,z)) = L(x,z,a(y,y,z)).
L(x,y,a(z,z,y)) = L(x,z,a(z,y,y)).
L(x * y,z,a(z,x,x)) = a(z,z,x) * (L(x,z,z) * y).
a(x,x,a(y \ (z \ y),(y * z) \ y,u)) * u = L(u,(y * z) \ y,a((y * z) \ y,x,x)).
x * a(y,a(x,x,y),(z * z) * (z \ u)) = L(x,x,a(y,y,L(u * z,z,z \ 1))).
x * a(y,a(x,x,y),(z \ y) * (y \ u)) = L(x,x,a(y,y,(z \ 1) * u)).
x * a(y,a(x,x,y),(z \ 1) \ u) = L(x,x,a(y,y,(z * z) * (z \ u))).
L(x,x,a(y,y,(z * z) * (z \ u))) = x * a(y,a(x,x,y),(z \ 1) \ u).
a(x,a(y,y,x),L(z,u,y)) = a(x,a(y,y,x),z).
a(x,a(y,y,x),L(z,y,u)) = a(x,a(y,y,x),z).
a(L(x,y,z),a(z,z,x),u) = a(x,a(z,z,x),u).
a(L(x,y,z),a(y,y,x),u) = a(x,a(y,y,x),u).
x * a(y,a(z,z,y),x) = L(x,L(y,u,z),a(y,z,z)).
L(x,L(y,z,u),a(y,u,u)) = x * a(y,a(u,u,y),x).
x * a(y,a(z,z,y),x) = L(x,L(y,z,u),a(y,z,z)).
L(x,L(y,z,u),a(y,z,z)) = x * a(y,a(z,z,y),x).
a(x,a(y,y,x),z) = a(L(x,y,u),a(x,y,y),z).
a(L(x,y,z),a(x,y,y),u) = a(x,a(y,y,x),u).
a(x,a(y,y,x),z) = a(a(x,y,y),L(x,y,u),z).
a(a(x,y,y),L(x,y,z),u) = a(x,a(y,y,x),u).
a(x,y,y) * a(x,a(y,y,x),z) = a(x,y,L(y,L(x,y,u),z)).
a(x,y,L(y,L(x,y,z),u)) = a(x,y,y) * a(x,a(y,y,x),u).
L(x,y,y \ L(y,x,z)) = L(x,x,a(z,y,y)).
a(x,a(y,y,x),(z \ (y \ 1)) \ 1) = a(y,y,a(y \ (y * (((y \ 1) \ z) \ 1)),x,x)).
a(x,x,a(x \ (x * (((x \ 1) \ y) \ 1)),z,z)) = a(z,a(x,x,z),(y \ (x \ 1)) \ 1).
a(x,y,z) * a(y,y,a(z,x,x)) = x \ R(x,y,z).
a(a(x,y,y),z,z) * a(z,y,x) = z \ R(z,y,x).
L(R(x,y,z),u,w) / L(x,u,w) = a(L(x,u,w),y,z) * a(y,y,a(z,L(x,u,w),L(x,u,w))).
a(L(x,y,z),u,w) * a(u,u,a(w,L(x,y,z),L(x,y,z))) = L(R(x,u,w),y,z) / L(x,y,z).
a(x,y,z) * (y \ L(y,y,a(z,x,x))) = x \ R(x,y,z).
(x \ R(x,y,z)) / x = a(x,y,z) / L(x,x,a(z,y,y)).
a(x,y,z) / L(x,x,a(z,y,y)) = (x \ R(x,y,z)) / x.
a(x,x,y * z) \ a(x,x,(z \ 1) \ y) = a(x,a(z,z,x),y * z).
a(x,a(y,y,x),z * y) = a(x,x,z * y) \ a(x,x,(y \ 1) \ z).
L(x,L(y,z,u),a(y,u,u)) = L(x,y,a(y,u,u)).
L(a(x,x,y) * z,y,a(y,x,x)) = L(y,u,x) * (L(L(y,u,x),x,x) \ z).
L(x,L(y,z,u),a(y,z,z)) = L(x,y,a(y,z,z)).
L(x,y,a(y,z,z)) = L(x,a(y,z,z),L(y,z,u)).
L(x,a(y,z,z),L(y,z,u)) = L(x,y,a(y,z,z)).
(x \ L(x,y,a(y,z,z))) \ L(y,z,u) = x * (L(x,a(y,z,z),L(y,z,u)) \ L(y,z,u)).
x * (L(x,a(y,z,z),L(y,z,u)) \ L(y,z,u)) = (x \ L(x,y,a(y,z,z))) \ L(y,z,u).
(L(x,y,a(y,z,z)) \ x) * L(y,z,u) = x * (L(x,a(y,z,z),L(y,z,u)) \ L(y,z,u)).
x * (L(x,a(y,z,z),L(y,z,u)) \ L(y,z,u)) = (L(x,y,a(y,z,z)) \ x) * L(y,z,u).
a(x,a(x,y,y),L(z \ u,z,u)) = a(y,y,a(z \ u,x,L(x,z,z))).
a(x,a(y,y,x),z) = a(x,a(x,y,y),y * (z \ (y \ 1))).
a(x,a(x,y,y),y * (z \ (y \ 1))) = a(x,a(y,y,x),z).
L(x * y,z,a(x,x,z)) \ (x * y) = a(x,x,a(z,z,y)).
L((x * a(y,y,x)) * z,y,a(y,x * a(y,y,x),x * a(y,y,x))) = a(y,y,x * a(y,y,x)) * (x * z).
a(x,x,a(y,y,z)) = a(y,a(x,x,y),x * z).
a(x,a(y,y,x),y * z) = a(y,y,a(x,x,z)).
a(x,x,a(y,y,z)) = a(y,a(y,x,x),z * x).
a(x,a(x,y,y),z * y) = a(y,y,a(x,x,z)).
a(x,x,a(y,y,x \ z)) = a(y,a(y,x,x),z).
a(x,a(x,y,y),y \ z) = a(x,a(x,y,y),z).
a(x,a(x,y,y),z) = a(x,a(x,y,y),y * z).
a(x,a(x,y,y),y * z) = a(x,a(x,y,y),z).
a(x,a(x,y,y),z \ (y \ 1)) = a(x,a(y,y,x),z).
a(x,y,L(y,z,z \ 1)) = a(x,y,L(y,z,z)).
a(L(x,y,y),z,L(z,y,y)) = a(x,z,z).
a(x,y,L(y,z,z)) = a(x,y,L(y,z,z \ x)).
a(x,y,L(y,z,z \ x)) = a(x,y,L(y,z,z)).
a(x \ y,z,L(z,x,x)) = a((x \ 1) * y,z,z).
a(x * y,z,L(z,y,y)) = a((y * y) * (y \ x),z,z).
a((x * x) * (x \ y),z,z) = a(y * x,z,L(z,x,x)).
a(x,y,L(y,z,z)) * z = z \ (a(x,y,y) * (z * z)).
x \ (a(y,z,z) * (x * x)) = a(y,z,L(z,x,x)) * x.
a(L(x,y,y \ 1),z,L(z,y,y)) = a(x,L(z,y,y \ 1),L(z,y,y \ 1)).
a(x,L(y,z,z \ 1),L(y,z,z \ 1)) = a(L(x,z,z \ 1),y,L(y,z,z)).
a(x,y,y) * (1 / z) = a(x,y,L(y,z,z)) / z.
a(x,y,L(y,z,z)) / z = a(x,y,y) * (1 / z).
a(x,y,y) * a(x,y,y) = a(x * x,y,L(y,z,z)).
a(x * x,y,L(y,z,z)) = a(x,y,y) * a(x,y,y).
a(x,y,y) = a(x,L(y,z,z),L(y,z,z)).
a(x,L(y,z,z),L(y,z,z)) = a(x,y,y).
x * a(x,y,y) = R(x,L(y,z,z),L(y,z,z)).
R(x,L(y,z,z),L(y,z,z)) = x * a(x,y,y).
a(L(x,y,z),u,u) = a(x,L(u,w,w),L(L(u,w,w),y,z)).
a(x,L(y,z,z),L(L(y,z,z),u,w)) = a(L(x,u,w),y,y).
a(L(x,y,y) * (z \ (y \ 1)),x,x) = a(z \ (y \ x),L(x,y,y),L(x,y,y)).
a(x \ (y \ z),L(z,y,y),L(z,y,y)) = a(L(z,y,y) * (x \ (y \ 1)),z,z).
a(x,y,L(y,z,z)) \ y = L(y,y,L(x,z,z \ x)).
L(x,x,L(y,z,z \ y)) = a(y,x,L(x,z,z)) \ x.
R(x,L(y,z,z),L(y,z,z)) = R(x,y,y).
a(x,y,L(y,z,z)) / L(z,z,u) = a(x,y,y) * (1 / L(z,z,u)).
a(x * x,y,L(y,z,z)) = a(x * x,y,y).
L(x,x,L(y,z,z \ y)) = L(x,x,L(y,z,z)).
L(x,x,L(y,z,z \ 1)) = L(x,x,L(y,z,z)).
L(x,x,L(y,z,z)) = L(x,x,L(y,z,z \ x)).
L(x,x,L(y,z,z \ x)) = L(x,x,L(y,z,z)).
L(x,x,y) \ L(x,x,L(y,z,z)) = a(z,z \ 1,a(y,x,x)).
L(x,x,L(y \ z,y,y)) = L(x,x,(y \ 1) * z).
L(x,x,L(y * z,1 / y,1 / y)) = L(x,x,((1 / y) \ 1) * L(z,y,y \ 1)).
L(x,x,((1 / y) \ 1) * L(z,y,y \ 1)) = L(x,x,L(y * z,1 / y,1 / y)).
a((x * x) * (x \ y),z,z) = a((x \ 1) \ y,z,z).
a((x \ 1) \ y,z,z) = a(y * x,z,L(z,x,y)).
a(x * y,z,L(z,y,x)) = a((y \ 1) \ x,z,z).
a((x \ 1) \ (y * x),z,z) = a((x * x) * y,z,z).
a((x * x) * y,z,z) = a(((x \ 1) \ y) * x,z,z).
a(((x \ 1) \ y) * x,z,z) = a((x * x) * y,z,z).
a(((x \ 1) * (x \ 1)) \ y,z,z) = a((x * x) * y,z,z).
x \ (a(y * y,z,z) * (x * x)) = a(y * y,z,z) * x.
a(x,L(y,z,z),L(L(y,z,z),u,w)) = a(x,y,L(y,u,w)).
a((((x \ 1) \ 1) * ((x \ 1) \ 1)) \ y,z,z) = a((x \ (x \ 1)) * y,z,z).
(a(x * x,y,y) * (z * z)) / z = a(x * x,y,y) * z.
L(x,x,a(y * y,z,z)) = x.
a(x * x,y,z) \ z = L(z,y,x * x).
L(x,y,z * z) \ x = a(z * z,y,x).
x \ R(x,y,z * z) = a(x,y,z * z).
L(x,y,R(z * z,u,w) \ (z * z)) \ x = a((R(z,u,w) \ z) * (R(z,u,w) \ z),y,x).
a((R(x,y,z) \ x) * (R(x,y,z) \ x),u,w) = L(w,u,R(x * x,y,z) \ (x * x)) \ w.
L(x,y,z \ L(z,u,w * w)) = L(x,y,a(z,u,w * w)).
a(x,x,a(y,z,z)) / L(L(z,x,y) \ z,z,x) = 1 / (L(z,x,y) \ z).
L(x,x,y * z) \ L(x,x,(y \ 1) \ z) = a(y,y \ 1,a(y * z,x,x)).
a(x,x \ 1,a(x * y,z,z)) = L(z,z,x * y) \ L(z,z,(x \ 1) \ y).
L(x,x,a(y,z,z)) \ (x * (L(x,z,y) \ x)) = a(y,z,x).
L(x,x,a(y,z,z)) * a(y,z,x) = x * (L(x,z,y) \ x).
a(x,y,z) = z * (L(z,z,a(x,y,y)) \ (L(z,y,x) \ z)).
x * (L(x,x,a(y,z,z)) \ (L(x,z,y) \ x)) = a(y,z,x).
a(x,y,z) * a(y,y,a(x,z,z)) = L(z,y,x) \ z.
a(x,y,z) \ (L(z,y,x) \ z) = a(y,y,a(x,z,z)).
a(x,a(y,z,u),w) * a(a(y,z,u),a(y,z,u),a(x,w,w)) = R(w,a(y,z,u),x) \ w.
a(x,y,z) * a(z,z,a(y,y,x)) = L(z,y,x) \ z.
(L(x,y,z) \ x) * L(L(u,w,v5) \ u,a(z,y,x),a(y,y,a(z,x,x))) = ((L(u,w,v5) \ u) * a(z,y,x)) * (a(z,y,x) \ (L(x,y,z) \ x)).
L(x,y,z) \ x = a(x,x,a(y,y,z)) * a(z,y,x).
a(x,x,a(y,y,z)) * a(z,y,x) = L(x,y,z) \ x.
a(x,x,a(y,z,z)) * a(y,z,x) = L(x,z,y) \ x.
L(x,y,z) \ x = L(a(z,y,x),x,y * z).
L(a(x,y,z),z,y * x) = L(z,y,x) \ z.
L(x,y,z) \ x = L(a(z,y,x),x,z * y).
L(a(x,y,z),z,x * y) = L(z,y,x) \ z.
x * L(a(y,z,u) \ (L(u,z,y) \ u),a(y,z,u),x) = (x / a(y,z,u)) * L(a(y,z,u),u,z * y).
a(x,y,z) * L(z,z,a(x,y,y)) = (L(z,y,x) \ z) * z.
a(x,x,a(y * (z \ 1),u,u)) = a(x,x,a((y \ 1) * z,u,u)).
a(x,x,a((y \ 1) * z,u,u)) = a(x,x,a(y * (z \ 1),u,u)).
a(x,y,L(y,L(x,y,z),u)) = a(x,y,L(y,x,u)).
a(a(L(L(x,y,z),u,w),u,w),y,y) = a(a(x,y,L(y,x,u)),u,w).
a(x,a(y,y,x),(z \ x) * u) = a(y,y,a(u * (z \ 1),x,x)).
a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = a(a(x,z,z),y,y).
a(x,y,L(z,y,x)) \ (L(z,y,x) \ z) = a(z,z,a(x,y,y)).
L(L(x,y,z) \ x,x,y) \ (L(x,y,z) \ x) = a(x,x,a(z,y,y)).
a(x,y,y) * (1 / L(z,z,a(y,y,x))) = a(x,y,y) / z.
a(x,y,y) * L(1 / z,z,a(y,y,x)) = a(x,y,y) / z.
a(x \ y,a(x,x,y),z) \ y = L(y,x,a(z,x \ y,x \ y)).
L(x,y,a(z,y \ x,y \ x)) = a(y \ x,a(y,y,x),z) \ x.
a(x,a(y,y,x),z * y) = a(a(x,x,z * y),y,z).
a(a(x,x,y * z),z,y) = a(x,a(z,z,x),y * z).
a(x,a(x,y,y),L(z \ u,z,u)) = a(y,y,a((z \ 1) * u,x,x)).
a(x,a(x,y,y),L(z \ u,z,u)) = a(y,y,a(z * (u \ 1),x,x)).
1 / (L(x,y,z) \ x) = L(L(x,y,z) \ x,x,y) \ a(y,y,a(z,x,x)).
L(L(x,y,z) \ x,x,y) \ a(y,y,a(z,x,x)) = 1 / (L(x,y,z) \ x).
L(L(x,y,z) \ x,x,y) \ a(y,y,a(z,x,x)) = (L(x,y,z) \ x) \ 1.
L(L(x,y,z) \ x,x,y) \ a(y,y,a(z,x,x)) = x \ L(x,y,z).
x * a(y,a(x,x,y),(z \ y) * u) = L(x,x,a(y,y,(z \ 1) * u)).
L(x,x,a(y,y,(z * z) * (z \ u))) = x * a(y,a(x,x,y),z \ (u \ 1)).
L(x,y,z) * (L(L(x,y,z),z,z) \ u) = x * (L(x,z,z) \ u).
(x \ (y * (L(y,z,z) \ x))) * (L(y,u,z) \ x) = L(L(y,u,z),z,z) \ x.
a(x,L(y,z,z \ 1),L(y,z,z \ 1)) = a(x,y,y).
a(x,y,y) = a(x,L(y,z,z \ y),L(y,z,z \ 1)).
a(x,L(y,z,z \ y),L(y,z,z \ 1)) = a(x,y,y).
a(x,y,y) = a(x,L(y,z,z \ y),L(y,z,z \ y)).
a(x,L(y,z,z \ y),L(y,z,z \ y)) = a(x,y,y).
a(x,y,y) = a(x,y * a(z,z,y),L(y,z,z \ y)).
a(x,y * a(z,z,y),L(y,z,z \ y)) = a(x,y,y).
a(x,y,y) = a(x,y * a(z,z,y),y * a(z,z,y)).
a(x,y * a(z,z,y),y * a(z,z,y)) = a(x,y,y).
a((x \ (x \ 1)) * y,z,z) = a((x * ((x \ 1) \ 1)) \ y,z,z).
a((x * ((x \ 1) \ 1)) \ y,z,z) = a((x \ (x \ 1)) * y,z,z).
a((x \ (x \ 1)) * y,z,z) = a((x * x) \ y,z,z).
a((x * x) \ y,z,z) = a(y * (x \ (x \ 1)),z,z).
a(x * (y \ (y \ 1)),z,z) = a((y * y) \ x,z,z).
a((x * x) \ (((x * x) \ 1) \ y),z,z) = a(y,z,z).
a(x,y,y) = a(L(x,z * z,z * z),y,y).
a(L(x,y * y,y * y),z,z) = a(x,z,z).
a(x,y,y) \ (z * z) = (a(x,y,y) / (z * z)) \ 1.
(a(x,y,y) / (z * z)) \ 1 = a(x,y,y) \ (z * z).
L(a(x,y,y) * (a(x,y,y) \ (z * z)),((u * z) / u) * T(z,u),a(y,y,x)) = z * z.
L(x,x,y * z) \ L(x,x,(y \ 1) \ z) = a(x,a(y,y,x),y * z).
a(x,a(y,y,x),y * z) = L(x,x,y * z) \ L(x,x,(y \ 1) \ z).
L(x,x,a(y,y,(z * z) * (z \ u))) = L(x,x,a(y,y,z \ (u \ 1))).
L(x,x,a(y,y,(z \ 1) \ u)) = L(x,x,a(y,y,z \ (u \ 1))).
a(x,x,L(y,y,z)) * (L(y,u,x) \ z) = L(L(y,u,x),x,x) \ z.
a(x,x,R(y,z,u) \ y) * (L(R(y,z,u) \ y,w,x) \ (R(y,z,u) \ y)) = L(L(R(y,z,u) \ y,w,x),x,x) \ (R(y,z,u) \ y).
a(x,x,a(y,z,u)) * (L(a(y,z,u),w,x) \ a(y,z,u)) = L(L(a(y,z,u),w,x),x,x) \ a(y,z,u).
a(x,x,L(y,z,u) \ y) * (L(L(y,z,u) \ y,w,x) \ y) = L(L(L(y,z,u) \ y,w,x),x,x) \ y.
a(x \ (y \ z),L(z,y,y),L(z,y,y)) = a(z * (x \ (y \ 1)),z,z).
a(x * (y \ (z \ 1)),x,x) = a(y \ (z \ x),x,x).
a(R(x,y,y \ 1) * (z \ ((x * y) \ 1)),R(x,y,y \ 1),R(x,y,y \ 1)) = a(z \ (y \ 1),R(x,y,y \ 1),R(x,y,y \ 1)).
L(x,x,((1 / y) \ 1) * L(z,y,y \ 1)) = L(x,x,L(y * z,1 / y,y \ 1)).
L(x,x,((1 / y) \ 1) * L(z,y,y \ 1)) = L(x,x,L(y * z,y \ 1,y \ 1)).
L(x,x,((1 / y) \ 1) * L(z,y,y \ 1)) = L(x,x,(y \ 1) \ z).
L(x,x,y * L(z,y,y \ 1)) = L(x,x,(y \ 1) \ z).
L(x,x,(y \ 1) \ z) = L(x,x,(y * y) * (y \ z)).
L(x,x,(y * y) * (y \ z)) = L(x,x,(y \ 1) \ z).
L(x,x,y * z) \ L(x,x,(y \ 1) \ z) = a(z,y,a(y * z,x,x)).
a(x,a(y,y,x),y * z) = a(z,y,a(y * z,x,x)).
a(x,y,a(y * x,z,z)) = a(y,y,a(z,z,x)).
a(x,a(x,y,z),y * z) = a(y,y,a(x,x,z)).
x * (R(x,y,z) \ a(x,y,z)) = a(y,y,a(x,x,z)).
(a(x,y,z) / R(x,y,z)) \ a(y,y,a(x,x,z)) = x.
x * R(x \ a(x,y,z),y,z) = a(y,y,a(x,x,z)).
R(a(x,y,z) / x,y,z) \ a(y,y,a(x,x,z)) = x.
a(x,x,a(y,y,z)) / (y \ a(y,x,z)) = (y / (y \ a(y,x,z))) * R(y \ a(y,x,z),x,z).
(x / (x \ a(x,y,z))) * R(x \ a(x,y,z),y,z) = a(y,y,a(x,x,z)) / (x \ a(x,y,z)).
R((a(x,y,z) / x) \ a(y,y,a(x,x,z)),y,z) = x.
(x * y) * a(z,u,a(w,x,x)) = y * L(T(x,y),T(x,y),w \ L(w,u,z)).
x * L(T(y,x),T(y,x),z \ L(z,u,w)) = y * (x * a(w,u,a(z,y,y))).
x * L(T(y,x),y,z \ L(z,u,w)) = y * (x * a(w,u,a(z,y,y))).
x * (y * a(z,u,a(w,x,x))) = L(x,x,w \ L(w,u,z)) * y.
L(x,x,y \ L(y,z,u)) * w = x * (w * a(u,z,a(y,x,x))).
x * (y * a(z,u,a(w,x,x))) != v5 * y | L(x,x,w \ L(w,u,z)) = v5.
R(a(x,y,z) \ 1,a(x,y,z),L(x,x,a(z,y,y))) = L(x,x,a(z,y,y)) / R(x,y,z).
a(x,x,a(x \ (x * (((x \ 1) \ y) \ 1)),z,z)) = a(z,a(z,x,x),y \ (x \ 1)).
a(x,x,a(((x \ 1) \ y) \ 1,z,z)) = a(z,a(z,x,x),y \ (x \ 1)).
a(x,x,a(x \ (y \ 1),z,z)) = a(z,a(z,x,x),y \ (x \ 1)).
a(x,a(x,y,y),z \ (y \ 1)) = a(y,y,a(y \ (z \ 1),x,x)).
a(x,a(x,y,y),z \ (y \ 1)) = a(x,a(y,y,x),z * y).
a(x,a(y,y,x),z * y) = a(x,a(y,y,x),z).
a(a(x,x,y * z),z,y) = a(x,a(z,z,x),y).
a(a(x,x,y * z),z,y) = a(x,x,a(y,z,z)).
L(x * x,((y * x) / y) * T(x,y),a(z,z,u)) = x * x.
L(x * x,x * x,a(y,y,z)) = x * x.
L(x * x,y,z) \ (x * x) = a(z,y,x * x).
R(x * x,y,z) = a(x * x,y,z) * (x * x).
a(x * x,y,z) * (x * x) = R(x * x,y,z).
a(x,x,a(y,z,u * u)) = a(a(u * u,x,x),z,y).
a(a(x * x,y,y),z,u) = a(y,y,a(u,z,x * x)).
R(x * x,y,z) = x * (a(x * x,y,z) * x).
x * (a(x * x,y,z) * x) = R(x * x,y,z).
x \ R(x * x,y,z) = a(x * x,y,z) * x.
x * (L(x,a(y,z,z),L(y,z,u)) \ L(y,z,u)) = a(y,y,a(x,z,z)) \ L(y,z,u).
x * (L(x,a(y,z,z),L(y,z,u)) \ L(y,z,u)) = a(z,z,a(x,y,y)) * L(y,z,u).
x * (L(x,y,a(y,z,z)) \ L(y,z,u)) = a(z,z,a(x,y,y)) * L(y,z,u).
x * L(x \ L(y,z,u),y,a(y,z,z)) = a(z,z,a(x,y,y)) * L(y,z,u).
x * (L(x,a(y,z,z),L(y,z,u)) \ L(y,z,u)) = a(y,y,a(x,z,z)) * L(y,z,u).
x * (L(x,y,a(y,z,z)) \ L(y,z,u)) = a(y,y,a(x,z,z)) * L(y,z,u).
x * L(x \ L(y,z,u),y,a(y,z,z)) = a(y,y,a(x,z,z)) * L(y,z,u).
x * L(x \ L(y,z,u),y,a(y,z,z)) = L(L(y,y,a(x,z,z)),z,u).
L(L(x,x,a(y,z,z)),z,u) = a(z,z,a(y,x,x)) * L(x,z,u).
a(x,x,a(y,z,z)) * L(z,x,u) = L(L(z,z,a(y,x,x)),x,u).
L(L(x,x,a(y,z,z)),z,y) = a(y,z,x) \ x.
L(L(x,x,a(y,y,z)),y,z) = a(z,y,x) \ x.
a(x,y,z) \ z = L(L(z,y,x),z,a(y,y,x)).
L(L(x,y,z),x,a(y,y,z)) = a(z,y,x) \ x.
L(L(x,y,z),x,L(a(y,y,z),u,z)) = a(z,y,x) \ x.
a(x,y \ (z \ y),u) * L(x,x,a(u,z \ 1,z \ 1)) = R(x,(y * z) \ y,u).
a(x,y \ (z \ y),u) * L(x,x,a(u,z,z)) = R(x,(y * z) \ y,u).
a(x,y \ (z \ y),u) * L(x,x,a(u,z,z)) = R(x,y \ (z \ y),u).
a(x,x,a(y \ (z \ y),y \ (z \ y),u)) * u = L(u,(y * z) \ y,a((y * z) \ y,x,x)).
(x / (x \ a(x,y,z))) * R(x \ a(x,y,z),y,z) = (a(x,y,z) / x) \ a(y,y,a(x,x,z)).
a(x,x,a(y \ 1,y \ 1,z)) * z = L(z,(u * y) \ u,a((u * y) \ u,x,x)).
L(x,(y * z) \ y,a((y * z) \ y,u,u)) = a(u,u,a(z \ 1,z \ 1,x)) * x.
L(x,(y * z) \ y,a((y * z) \ y,u,u)) = a(u,u,a(z,z,x)) * x.
L(x,(y * z) \ y,a((y * z) \ y,u,u)) = L(x,z,a(z,u,u)).
L(x,(y * z) \ y,a(y \ (z \ y),u,u)) = L(x,z,a(z,u,u)).
L(x,y,a(y,z,z)) = L(x,u \ (y \ u),a(u \ (y \ u),z,z)).
L(x,y \ (z \ y),a(y \ (z \ y),u,u)) = L(x,z,a(z,u,u)).
L(x \ (a(x,y,y) \ z),x,a(x,y,y)) = (z * (z \ (x \ z))) * a(z \ (x \ z),y,y).
(x * (x \ (y \ x))) * a(x \ (y \ x),z,z) = (a(y,z,z) * y) \ x.
(x * (x \ (y \ x))) * a(x \ (y \ x),z,z) = R(y,z,z) \ x.
(x \ y) * a(y \ (x \ y),z,z) = R(x,z,z) \ y.
a(x \ (y \ x),z,z) * (y \ x) = R(y,z,z) \ x.
(a(x,y,z) / x) \ a(y,y,a(x,x,z)) = x * (a(x,y,z) \ (x * R(x \ a(x,y,z),y,z))).
x * (a(x,y,z) \ (x * R(x \ a(x,y,z),y,z))) = (a(x,y,z) / x) \ a(y,y,a(x,x,z)).
a(L(a(x,y,z),u,w),v5,v6) * a(v5,v5,a(v6,L(a(x,y,z),u,w),L(a(x,y,z),u,w))) = L(L(a(x,y,z),v5,v6),u,w) / L(a(x,y,z),u,w).
L(x,y,L(z,u,w)) \ L(x,x,a(y,y,L(z,u,w))) = a(L(a(w,z,u) \ z,w,u),y,x).
a(L(a(x,y,z) \ y,x,z),u,w) = a(L(y,z,x),u,w).
a(x,y \ (z \ y),u) * L(x,x,a(u,z,z)) = R(x,z \ a(y,z,z),u).
R(x,y \ a(z,y,y),u) = R(x,z \ (y \ z),u).
R(1 / (1 / (1 / (x \ a(y,x,x)))),y \ (x \ y),(x \ a(y,x,x)) \ z) = a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)).
L(a(x,y,z),L(x,x,a(y,y,z)),L(x,x,a(y,y,z)) \ 1) = L(1 / x,x,a(y,y,z)) * R(x,y,z).
x * L(a(y,y,a(z,u,u)),a(z,y,u),x) = (x / a(z,y,u)) * L(a(z,y,u),u,y * z).
(x / a(y,z,u)) * L(a(y,z,u),u,z * y) = x * L(a(z,z,a(y,u,u)),a(y,z,u),x).
L(1 / x,x,a(y,y,z)) * R(x,y,z) = L(a(x,y,z),x,x \ 1).
L(1 / x,x,a(y,y,z)) * R(x,y,z) = a(x,y,z).
L(a(x,x,a(y,z,z)),L(L(x,z,y) \ x,x,z),x) = a(z,x,a(y,z,L(x,z,y))).
a(x,y,a(z,x,L(y,x,z))) = a(y,y,a(z,x,x)).
a(x,y,L(L(y,x,z) \ y,y,x)) = a(y,y,a(z,x,x)).
(x * a(x,x,a(y,z,z))) \ (x * (L(x,z,y) \ x)) = L(L(x,z,y) \ x,x,z).
R(x,x,a(y,z,z)) \ (x * (L(x,z,y) \ x)) = L(L(x,z,y) \ x,x,z).
L(x,x,a(y,z,z)) \ (x * (L(x,z,y) \ x)) = L(L(x,z,y) \ x,x,z).
L(L(x,y,z) \ x,x,y) = a(z,y,x).
a(x,y,z) = L(L(z,y,x) \ z,z,y).
L(a(x,y,z),u,w) = L(L(L(z,y,x) \ z,u,w),z,y).
L(L(L(x,y,z) \ x,u,w),x,y) = L(a(z,y,x),u,w).
a(L(x,y,z) * L(u,y,z),w,v5) = L(L(v5,w,L(x * u,y,z)) \ v5,v5,w).
L(L(x,y,L(z * u,w,v5)) \ x,x,y) = a(L(z,w,v5) * L(u,w,v5),y,x).
a(a(x,y,z),L(x,u,w),v5) = L(L(v5,a(x,y,z),L(x,u,w)) \ v5,v5,L(x,u,w)).
L(L(x,a(y,z,u),L(y,w,v5)) \ x,x,L(y,w,v5)) = a(a(y,z,u),L(y,w,v5),x).
a(x,a(y,z,u),y) = a(x,L(y,a(y,z,u),x),a(y,z,u)).
a(x,L(y,a(y,z,u),x),a(y,z,u)) = a(x,a(y,z,u),y).
a(x,L(y,z,u) \ y,y) = L(y,L(y,z,u) \ y,x) \ y.
L(x,L(x,y,z) \ x,u) \ x = a(u,L(x,y,z) \ x,x).
a(x,L(y,z,u),y) = L(y,L(y,z,u),x) \ y.
L(x,L(x,y,z),u) \ x = a(u,L(x,y,z),x).
a(x,y,z) \ 1 = L(z \ L(z,y,x),z,y).
L(x \ L(x,y,z),x,y) = a(z,y,x) \ 1.
a(x,y * y,y) = a(x,y * y,L(y,y,x * x)).
a(x,y * y,L(y,y,x * x)) = a(x,y * y,y).
a(x,x,a(y,z,u)) = a(a(u,x,L(x,u,z)),z,y).
a(a(x,y,L(y,x,z)),z,u) = a(y,y,a(u,z,x)).
a(x,y,z) = a(x,y,L(z,y,x)).
a(x,y,L(z,y,x)) = a(x,y,z).
a(x,y,z) * (y * L(z,y,x)) = y * z.
a(x,y,z) * y = z * (L(z,y,x) \ y).
x * (L(x,y,z) \ y) = a(z,y,x) * y.
(a(x,y,z) * y) \ (y * z) = L(z,y,x).
L(x,y,z) = (a(z,y,x) * y) \ (y * x).
a(x,y,z) \ y = (y / z) * L(z,y,x).
(x / y) * L(y,x,z) = a(z,x,y) \ x.
(a(x,y,z) \ y) * z = y * L(z,y,x).
a(x,y,z) * (z \ y) = L(z,y,x) \ y.
T(x * a(y,x,z),z) = L(z,x,y) \ (x * z).
L(x,y,z) \ (y * x) = T(y * a(z,y,x),x).
a(a(L(x,y,z),y,z),u,u) = a(u,u,a(z,y,x)).
a(x,y,y \ z) = y \ (L(z / y,y,x) \ z).
x \ (L(y / x,x,z) \ y) = a(z,x,x \ y).
a(x,y,y \ z) = (y * ((x * y) \ (x * z))) \ z.
(x * ((y * x) \ (y * z))) \ z = a(y,x,x \ z).
a(x,y,L(z,u,w)) = a(x,y,L(L(z,y,x),u,w)).
a(x,y,L(L(z,y,x),u,w)) = a(x,y,L(z,u,w)).
a(L(x,y,z),y,a(y,u,w)) = a(L(x,y,z),y,L(a(y,u,w),y,x)).
a(L(x,y,z),y,L(a(y,u,w),y,x)) = a(L(x,y,z),y,a(y,u,w)).
a(x,y,z) \ a(y,y,a(x,z,z)) = z \ L(z,y,x).
a(x,y,a(z,x,y)) = a(y,y,a(z,x,x)).
a(x,y,(x * y) \ z) = a(x,y,y \ (x \ z)).
a(x,y \ z,y) \ z = L(y,y \ z,x) * (y \ z).
L(x,x \ y,z) * (x \ y) = a(z,x \ y,x) \ y.
(x * a(y,x,z)) \ (x * z) = L(z,x,y).
L(x,y,z) = (y * a(z,y,x)) \ (y * x).
(x \ y) * a(z,x \ y,x) = L(x,x \ y,z) \ y.
(a(x,y,z) \ y) \ (y * L(z,y,x)) = z.
a(a(x,y,z),u,u) = a(a(u,u,L(z,z,y)),y,x).
a(a(x,x,L(y,y,z)),z,u) = a(a(u,z,y),x,x).
a(a(x,y,z),u,u) = a(x,y,a(z,u,L(u,z,y))).
a(x,y,a(z,u,L(u,z,y))) = a(a(x,y,z),u,u).
a(x,y,L(R(z,u,u),y,x)) = a(x,y,R(z,L(u,y,x),L(u,y,x))).
a(x,y,R(z,L(u,y,x),L(u,y,x))) = a(x,y,L(R(z,u,u),y,x)).
x * L(x \ y,y,a(z,u,y)) = a(a(z,u,y),y,x) * y.
L(x \ y,x,z) = (a(z,x,x \ y) * x) \ y.
(a(x,y,y \ z) * y) \ z = L(y \ z,y,x).
L(x,L(x,y,z),u) = (a(u,L(x,y,z),x) * L(x,y,z)) \ (x * L(x,y,z)).
(a(x,L(y,z,u),y) * L(y,z,u)) \ (y * L(y,z,u)) = L(y,L(y,z,u),x).
L(x,y,R(z,u,w) \ v5) = (a(L(z,u,w) \ v5,y,x) * y) \ (y * x).
(a(L(x,y,z) \ u,w,v5) * w) \ (w * v5) = L(v5,w,R(x,y,z) \ u).
(a(x,y,y \ R(y,x,z)) * y) \ (y * (y \ R(y,x,z))) = a(L(y,x,z),x,z).
L(x \ R(x,y,z),x,u) = (a(a(u,x,x),y,z) * x) \ (x * (x \ R(x,y,z))).
(a(a(x,y,y),z,u) * y) \ (y * (y \ R(y,z,u))) = L(y \ R(y,z,u),y,x).
a(x,y,a(L(z,u,w),u,w) * u) = a(x,y,a(w,u,z) \ u).
(x \ (a(y,x,L(x,z,u) \ x) \ x)) * (L(x,z,u) \ x) = L(L(x,z,u) \ x,x,y).
(a(x,a(y,z,u),w) * a(y,z,u)) * x = a(y,z,u) * L(x,a(y,z,u),w).
L(x,y,z) \ y != u * (x \ y) | a(z,y,x) = u.
a(x,y,a(z,x,y)) = a(y,y,a(x,x,z)).
a(x,y,a(z,x,y)) * a(z,x,y) = L(y,x,z) \ y.
(a(x,y,L(z,u,w)) \ y) \ (y * L(R(z,u,w),y,x)) = R(z,u,w).
(a(x,y,R(z,L(u,y,x),L(u,y,x))) \ y) \ (y * L(R(z,u,u),y,x)) = R(z,L(u,y,x),L(u,y,x)).
a(x,y,a(z,x,y)) \ u = a(y,y,a(z,x,x)) * u.
a(x,x,a(y,z,z)) = a(x,z,a(y,x,z)).
a(x,y,a(z,x,y)) = a(x,x,a(z,y,y)).
L(x,L(x,y,z),u) \ x = a(u,x,L(x,y,z)).
x \ (L((x / (1 / y)) / x,x,z) \ (x / (1 / y))) = a(z,x,L(y,y \ 1,y * x)).
a(x,y,L(z,z \ 1,z * y)) = y \ (L((y / (1 / z)) / y,y,x) \ (y / (1 / z))).
a(x,a(y,z,x),a(y,z,x) \ (x \ u)) = L(u,x,a(y,z,x)) \ u.
(a(a(x,y,y),z,u) * y) \ R(y,z,u) = L(y \ R(y,z,u),y,x).
L(a(x,y,L(y,z,u)),z,u) = a(x,L(y,z,u),L(y,z,u)).
a(x,L(y,z,u),L(y,z,u)) = L(a(x,y,L(y,z,u)),z,u).
a(x,y * y,L(y,y,x * x)) = a(x,y,y * y).
a(x,x,a(y,z,L(u,x,w))) = a(a(u,x,L(x,u,z)),z,y).
a(a(x,y,L(y,x,z)),z,u) = a(y,y,a(u,z,L(x,y,w))).
a(x,y,L(z,z,a(y,y,x))) = a(x,y,z * a(z,y,x)).
a(x,x,a(L(y \ 1,z,u),w,L(w,L(y \ 1,z,u),x))) = a(a(x,x,L(x \ (y \ x),z,u)),w,w).
a(a(x,x,L(x \ (y \ x),z,u)),w,w) = a(x,x,a(L(y \ 1,z,u),w,L(w,L(y \ 1,z,u),x))).
a(x,y,y * y) = L(y,y * y,x) \ y.
L(x,x * x,y) \ x = a(y,x,x * x).
a(a(x * x,y,y),z,u) = a(a(x,y,y * y),z,u).
a(x,y,R(z,u,w)) \ a(y,y,a(x,R(z,u,w),R(z,u,w))) = R(z,u,w) \ R(L(z,y,x),u,w).
a(x,y \ z,y) \ z = (y \ z) * ((x * (y \ z)) \ (x * z)).
(x \ y) * ((z * (x \ y)) \ (z * y)) = a(z,x \ y,x) \ y.
x * (L(x,y,z) \ x) = y \ (z \ ((z * y) * x)).
x \ (y \ ((y * x) * z)) = z * (L(z,x,y) \ z).
a(x,a(y,z,x),z) = a(x,x,a(y,z,z)).
a(x,x,a(y,z,z)) * x = L(x,a(y,z,x),z).
a(x,x,a(y,z,z)) * a(y,z,x) = L(a(y,z,x),x,z).
L(x,a(y,z,x),z) = L(x,x,a(y,z,z)).
L(a(x,y,z),z,y) = L(z,y,x) \ z.
L(a(x,y,R(z,u,w)),R(z,u,w),y) = R(L(z,y,x),u,w) \ R(z,u,w).
L(a(x,y,z),z,y) \ z = L(z,y,x).
L(a(x,L(y,z,u),a(y,w,v5)),L(y,z,u),a(y,w,v5)) = L(L(y,z,u),a(y,w,v5),x) \ L(y,z,u).
L(L(x,y,z),L(L(x,u,w),y,z),v5) \ L(x,y,z) = a(v5,L(L(x,u,w),y,z),L(x,y,z)).
L(L(L(x,y,z),u,w),x,v5) \ L(L(x,y,z),u,w) = L(a(v5,x,L(L(x,y,z),u,w)),x,L(L(x,y,z),u,w)).
L(a(x,y,L(L(y,z,u),w,v5)),y,L(L(y,z,u),w,v5)) = L(L(L(y,z,u),w,v5),y,x) \ L(L(y,z,u),w,v5).
a(x,y,z) * a(y,y,a(x,z,z)) = L(a(x,y,z),z,y).
L(a(x,y,z),L(z,y,x),y) = L(L(z,y,x),y,x) \ L(z,y,x).
L(L(x,y,z),y,z) \ L(x,y,z) = L(a(z,y,x),L(x,y,z),y).
L(a(x,y,a(z,z,u)),x,a(z,z,u) * y) \ x = L(x,a(z,z,u) * y,a(u,z,z)).
L(a(x,y,a(z,z,u)),x,y) \ x = L(x,y,a(u,z,z)).
L(a(x,L(y,z,u) \ 1,w),w,L(y \ 1,z,u)) \ w = L(w,L(y,z,u) \ 1,x).
L(a(a(x,y,y),z,u),y,y \ L(y,z,u)) \ y = L(y,y \ L(y,z,u),x).
a(x \ L(x,y,z),u,u) * (L(a(z,y,x),x,y) \ x) = R(L(a(z,y,x),x,y),u,u) \ x.
L(a(x,y,z),L(z,y,x),y) \ L(z,y,x) = L(L(z,y,x),y,x).
a(x,L(y,a(y,z,u),x),a(y,z,u)) = a(x,y,a(y,z,u)).
L(x,L(x,y,z) \ x,u) \ x = a(u,x,L(x,y,z) \ x).
x * L(x \ y,y,a(z,u,y)) = y * a(y,a(z,u,y),x).
a(x,L(y,y,z),L(y,y,z)) = a(x,y,L(y,y,z)).
a(x,L(y,y,z),L(y,y,z)) = a(x,y,y).
a(x,y,y) * (L(y,y,z) \ u) = L(L(y,y,z),L(y,y,z),x) \ u.
L(L(x,x,y),L(x,x,y),z) \ u = a(z,x,x) * (L(x,x,y) \ u).
a(x,y,y) \ (a(z,y,y) \ y) = L(L(y,y,x),L(y,y,x),z).
L(L(x,x,y),L(x,x,y),z) = a(y,x,x) \ (a(z,x,x) \ x).
a(L(x,y,z),u,u) = a(x,R(u,u,w),L((w / (u * w)) \ 1,y,z)).
a(x,R(y,y,z),L((z / (y * z)) \ 1,u,w)) = a(L(x,u,w),y,y).
a(x * (a(y,z,z) * a(z,z,u)),z,z) * L(z,z,y) = L(L(z,z,y),L(z,z,y),(R(z,z,u) * x) \ L(z,z,y)).
L(L(x,x,y),L(x,x,y),(R(x,x,z) * u) \ L(x,x,y)) = a(u * (a(y,x,x) * a(x,x,z)),x,x) * L(x,x,y).
a(x,x,a(y,z,L(u,x,w))) = a(x,x,a(y,z,u)).
a(x,y,a(y,z,u)) = L(y,a(y,z,u),x) \ y.
L(x,a(x,y,z),u) \ x = a(u,x,a(x,y,z)).
a(L(x \ 1,a(x,y,z),u),a(x,y,z),u) = a(u,x,a(x,y,z)).
a(x,y,L(y,z,u) \ y) \ y = L(y,L(y,z,u) \ y,x).
L(x,y,a(z,u,y)) \ x = a(y,a(z,u,y),x).
a(x,a(y,z,x),u) \ u = L(u,x,a(y,z,x)).
L(x,y,a(z,u,y)) = x * a(x,y,a(z,u,y)).
x * a(x,y,a(z,u,y)) = L(x,y,a(z,u,y)).
x * a(x,a(y,z,u),a(z,u,a(y,z,u))) = L(x,a(y,z,u),a(z,z,a(y,u,u))).
L(L(x,x,y),L(x,x,y),z) = a(y,x,x) \ L(x,x,z).
L(L(x,x,y),L(x,x,y),z) = L(L(x,x,y),x,z).
a(L(x,y,z),y,a(y,u,w)) = a(x,y,a(y,u,w)).
a(x,y,R(z,L(u,y,x),L(u,y,x))) = a(x,y,R(z,u,u)).
a(x,y,L(z,u,u)) = a(x,y,R(z,L(u,y,x),L(u,y,x))).
a(x,y,R(z,L(u,y,x),L(u,y,x))) = a(x,y,L(z,u,u)).
a(x,a(y,z,x),a(y,z,x) \ (x \ u)) = a(x,a(y,z,x),u).
L(x \ R(x,y,z),x,u) = a(z,y,a(u,x,x)) * (x \ R(x,y,z)).
a(x,y,a(z,u,u)) * (u \ R(u,y,x)) = L(u \ R(u,y,x),u,z).
L(L(x,x,y),x,z) \ u = a(z,x,x) * (L(x,x,y) \ u).
a(x,y,y) * (L(y,y,z) \ u) = L(L(y,y,z),y,x) \ u.
x * (L(L(x,x,y),x,z) \ u) = a(z,x,x) * (a(y,x,x) * u).
a(x,y,y) * (a(z,y,y) * u) = y * (L(L(y,y,z),y,x) \ u).
L((a(x,y,y) * z) \ u,a(x,y,y) * z,a(w,y,y)) = (y * (L(L(y,y,x),y,w) \ z)) \ (a(w,y,y) * u).
a(x,y,y) * L(z \ u,z,a(z,y,y)) = y * (L(L(y,y,z),y,x) \ (R(z,y,y) \ u)).
a(x,R(y,y,z),L((z / (y * z)) \ 1,u,w)) = a(x,y,L(y,u,w)).
(x \ R(x,y,z)) * a(z,y,a(u,x,x)) = L(x \ R(x,y,z),x,u).
a(L(R(x,x,y),z,u),a(w,x,L(x,v5,v6)),v7) = 1.
a(L(L(x,x,y),z,u),a(w,x,L(x,v5,v6)),v7) = 1.
1 \ (L(x,y,z) * u) = L(L(x,x,w),y,z) * ((L(L(x,x,w),y,z) \ L(x,y,z)) * u).
L(L(x,x,y),z,u) * ((L(L(x,x,y),z,u) \ L(x,z,u)) * w) = 1 \ (L(x,z,u) * w).
L(x,y,L(z,u,w) \ v5) = L(x,y,R(z,u,w) \ v5).
x / L(y \ R(z,u,w),y,L(z,u,w) \ x) = (x / R(z,u,w)) * y.
L(x,y,L(z \ u,w,u)) = L(x,y,L(z,w,u) \ u).
L(x,y,a(z * z,u,u)) = L(x,y,L(u,u * u,z) \ u).
L(x,y,L(z,u,x) \ z) = x.
a((R(x,y,z) \ x) * (R(x,y,z) \ x),u,w) = L(w,u,L(x * x,y,z) \ (x * x)) \ w.
(x * y) \ ((x * y) * (L(z,u,x) \ z)) = R(L(z,u,x) \ z,y,L(x,y,L(z,u,x) \ z)).
R(L(x,y,z) \ x,u,L(z,u,L(x,y,z) \ x)) = (z * u) \ ((z * u) * (L(x,y,z) \ x)).
L(x,y,L((z \ u) \ w,z,w)) = L(x,y,((w * z) \ (w * u)) \ w).
L(x,y,a(z * z,u,u)) = L(x,y,a(z,u,u * u)).
x / L(y \ R(y,z,u),y,x) = (x / R(y,z,u)) * y.
(x / R(y,z,u)) * y = L(y \ R(y,z,u),y,x) \ x.
L(x \ R(x,y,z),x,u) \ u = (u / R(x,y,z)) * x.
L(x \ R(x,y,z),x,u) \ u = x * (R(x,y,z) \ u).
L(a(x,y,L(z,u,w)),R(z,u,w),y) = R(L(z,y,x),u,w) \ R(z,u,w).
L(a(x,y,L(z,u,w)),L(z,u,w),y) = R(L(z,y,x),u,w) \ R(z,u,w).
R(L(x,y,z),u,w) \ R(x,u,w) = L(L(x,u,w),y,z) \ L(x,u,w).
L(L(x,y,z),u,w) \ L(x,y,z) = R(L(x,u,w),y,z) \ R(x,y,z).
a(x,y,L(z,u,w)) * a(y,y,a(x,L(z,u,w),L(z,u,w))) = R(L(z,y,x),u,w) \ R(z,u,w).
L(L(x,y,z),u,w) \ L(x,y,z) = R(L(x,u,w) \ x,y,z).
L(L(x,y,z) \ x,u,w) = L(L(x,u,w),y,z) \ L(x,u,w).
L(L(x,y,z),u,w) \ L(x,y,z) = L(L(x,u,w) \ x,y,z).
L(L(x,y,z),u,w) \ L(x,u,w) = L(L(x,y,z) \ x,u,w).
L(L(x,y,z * z) \ x,u,w) = a(z * z,y,L(x,u,w)).
L(L(x,y,z) \ x,y,z) = L(a(z,y,x),L(x,y,z),y).
L(a(x,y,z),L(z,y,x),y) = L(L(z,y,x) \ z,y,x).
L(a(x * x,y,z),u,w) = a(x * x,y,L(z,u,w)).
a(x * x,y,L(z,u,w)) = L(a(x * x,y,z),u,w).
a(L(x * y,z,u),w,v5) = a(L(x,z,u) * L(y,z,u),w,v5).
a(L(x,y,z) * L(u,y,z),w,v5) = a(L(x * u,y,z),w,v5).
(a(x,y,L(y,z,u)) * L(y,z,u)) \ (y * L(y,z,u)) = L(y,L(y,z,u),x).
a(x,a(x,y,z),u) * x = L(x,a(x,y,z),u).
a(x,a(x,y,z),u) = x \ L(x,a(x,y,z),u).
x \ L(x,a(x,y,z),u) = a(x,a(x,y,z),u).
L(x,a(x,y,z),u) = x * a(x,a(x,y,z),u).
x * a(x,a(x,y,z),u) = L(x,a(x,y,z),u).
L(a(x,a(x,y,z),u) \ w,a(x,a(x,y,z),u),x) = L(x,a(x,y,z),u) \ (x * w).
(x \ 1) \ L(x \ 1,a(y,y,x),z) = a(x \ 1,a(x \ 1,y,y),z).
a(x \ 1,a(x \ 1,y,y),z) = x * L(x \ 1,a(y,y,x),z).
a(x \ 1,a(x \ 1,y,y),z) = L(x,a(y,y,x),z) \ x.
a(x \ 1,a(x \ 1,y,y),z) = a(x,a(x,y,y),z).
a(x \ 1,a(x \ 1,y,y),z) \ 1 = a(x,a(y,y,x),z).
a(x,a(y,y,x),z) = a(x \ 1,a(y,y,x \ 1),z).
a(x \ 1,a(y,y,x \ 1),z) = a(x,a(y,y,x),z).
a(x,a(y,y,x),z) = a(a(x,y,y),x \ 1,z).
a(a(x,y,y),x \ 1,z) = a(x,a(y,y,x),z).
x * a(y,a(z,z,y),x) = L(x,y \ 1,a(z,z,y)).
L(x,y \ 1,a(z,z,y)) = x * a(y,a(z,z,y),x).
L(x,y \ 1,a(z,z,y)) = L(x,y,a(y,z,z)).
L(x,y,a(y,z,z)) = R(x,y \ 1,a(z,z,y)).
R(x,y \ 1,a(z,z,y)) = L(x,y,a(y,z,z)).
L(a(x,y,y) * z,x,a(x,y,y)) = (x \ 1) * (R(x \ 1,y,y) \ z).
(L(x,y,a(y,z,z)) / u) * R(u,y \ 1,a(z,z,y)) = u \ R(u * x,y \ 1,a(z,z,y)).
L(a(x,y,y) * z,x,a(x,y,y)) = R(x,y,y) * (x \ z).
R(x,y,y) * (x \ z) = a(x,y,y) * L(z,x,a(x,y,y)).
a(x,y,y) * L(z,x,a(x,y,y)) = R(x,y,y) * (x \ z).
a(a(x,y,y),z,u) \ y = L(y,y \ L(y,z,u),x).
L(x,x \ L(x,y,z),u) = a(a(u,x,x),y,z) \ x.
L(x,x \ L(x,y,z),u) = a(z,y,a(u,x,x)) * x.
L(x,x \ L(x,y,z),u) = x * a(z,y,a(u,x,x)).
L(x,x \ L(x,y,z),u) = x * a(a(x,x,u),y,z).
L(x,x \ L(x,y,z),u) * w = x * (w * a(a(x,x,u),y,z)).
L(x,x,L(y \ L(y,z,u),w,v5)) = L(x,x \ L(x,z,u),L(y,w,v5)).
L(x,x \ L(x,y,z),L(u,w,v5)) = L(x,x,L(u \ L(u,y,z),w,v5)).
x * (y * a(a(x,x,y),z,u)) = L(x,z,u) * ((x \ L(x,z,u)) \ y).
L(x,y,z) * ((x \ L(x,y,z)) \ u) = x * (u * a(a(x,x,u),y,z)).
x * (y * a(a(x,x,y),z,u)) != L(x,z,u) * w | (x \ L(x,z,u)) \ y = w.
L(x,y,z) * u != x * (w * a(a(x,x,w),y,z)) | (x \ L(x,y,z)) \ w = u.
L(L(x,y,z),x,u \ 1) \ (x * L(x,y,z)) = L(x,L(x,y,z),u).
L(x,L(x,y,z),u) = T(x * a(u \ 1,x,L(x,y,z)),L(x,y,z)).
T(x * a(y \ 1,x,L(x,z,u)),L(x,z,u)) = L(x,L(x,z,u),y).
T(L(x,x,L(y,z,u)),L(x,z,u)) = L(x,L(x,z,u),y).
L(x,L(x,y,z),u) = T(L(x,x,L(u,y,z)),x).
T(L(x,x,L(y,z,u)),x) = L(x,L(x,z,u),y).
L(T(x,x),x,L(y,z,u)) = L(x,L(x,z,u),y).
L(x,x,L(y,z,u)) = L(x,L(x,z,u),y).
L(x,L(x,y,z),u) = L(x,x,L(u,y,z)).
L(L(x,x,L(y,z,u)),w,v5) = L(L(x,w,v5),L(x,z,u),y).
L(L(x,y,z),L(x,u,w),v5) = L(L(x,x,L(v5,u,w)),y,z).
L(L(x,y,z),L(L(x,u,w),y,z),v5) = L(L(x,y,z),L(x,y,z),L(v5,u,w)).
L(x,L(x,x,y),z) = L(x,x,z).
L(R(x,y,z),L(x,x,u),w) = R(L(x,x,w),y,z).
L(L(x,x,y),z,u) = L(L(x,z,u),L(x,x,w),y).
L(L(x,y,z),L(x,x,u),w) = L(L(x,x,w),y,z).
L(x \ y,x \ y,z) = L(x \ y,(y \ x) \ 1,z).
L(x \ y,(y \ x) \ 1,z) = L(x \ y,x \ y,z).
L(R(x,y,z),x,u) = L(R(x,y,z),L(x,x,w),u).
L(R(x,y,z),L(x,x,u),w) = L(R(x,y,z),x,w).
L((R(x,y,z) \ z) / z,L((x \ z) / z,(x \ z) / z,u),w) = L(R((x \ z) / z,y,z),(x \ z) / z,w).
L(x \ (x / y),y \ 1,z) = L(x \ (x / y),x \ (x / y),z).
L(x \ (x / y),x \ (x / y),z) = L(x \ (x / y),y \ 1,z).
L(L(x,y,z),L(x,u,w),v5) = L(L(x,y,z),x,L(v5,u,w)).
L(L(x,y,z),L(x,u,z),a(y,y,z)) = a(z,y,x) \ x.
L(L(x,y,z),L(x,u,z),a(z \ 1,y,y)) = a(z,y,x) \ x.
L(x \ (x / y),L(1 / y,y,x),z) = L(x \ (x / y),y \ 1,z).
L(L(1 / x,x,y),L(x \ 1,x,y),z) = L(y \ (y / x),x \ 1,z).
(a(a(x,y,y),x,z) * y) \ (y * (y \ R(y,x,z))) = a(L(y,x,z),x,z).
(a(x,a(x,y,y),z) * y) \ (y * (y \ R(y,x,z))) = a(L(y,x,z),x,z).
L(x,x,a(y,z,z)) \ (x * (x \ R(x,z,y))) = a(L(x,z,y),z,y).
L(x,x,a(y,z,z)) \ R(x,z,y) = a(L(x,z,y),z,y).
a(L(x,y,z),y,z) = a(x,y,z).
L(x \ R(x,y,z),x,y) = a(x,y,z).
a(x,y,z) = L(x \ R(x,y,z),x,y).
a(x,y,z) * y = (y / x) * R(x,y,z).
(x / y) * R(y,x,z) = a(y,x,z) * x.
x * (a(x,y,z) * y) = R(x,y,z) * y.
a(x * x,x,y) = a(x,x,y) * a(x,x,y).
a(x,x,y) * a(x,x,y) = a(x * x,x,y).
L(a(x,y,z),x,z * y) = L(a(x,y,z),x,y).
T(a(x,y,z) * y,x) = x \ (y * R(x,y,z)).
x \ (y * R(x,y,z)) = T(a(x,y,z) * y,x).
a(x \ y,y,z) = ((x * z) / (y * z)) \ (x / y).
((x * y) / (z * y)) \ (x / z) = a(x \ z,z,y).
a(x \ y,y,z) \ 1 = (y \ x) \ R(y \ x,y,z).
(x \ y) \ R(x \ y,x,z) = a(y \ x,x,z) \ 1.
a(L(x \ 1,x,y),y,z) = R(x,y,z) \ x.
x \ (a(x * x,x,y) \ z) = (x \ R(x * x,x,y)) \ z.
(x \ R(x * x,x,y)) \ z = x \ (a(x * x,x,y) \ z).
a(L(x,y,z) \ x,x,u) = a(a(u,x,x),y,z).
L(x,y,L(z,y,x)) = (a(z,y,x) * y) \ (y * x).
(a(x,y,z) * y) \ (y * z) = L(z,y,L(x,y,z)).
a(x,y,a(z,u,w) * u) = a(x,y,a(w,u,z) \ u).
a(x,y,a(z,u,w) \ u) = a(x,y,a(w,u,z) * u).
a(x \ 1,a(x,y,z),u) = a(u,x,a(x,y,z)).
L(x \ R(x,L(y,z,u) \ 1,w),x,L(y \ 1,z,u)) = a(x,L(y,z,u) \ 1,w).
a(x,y,z \ R(z,u,w)) = L(x \ L(x,y,z \ L(z,u,w)),x,y).
L(x \ L(x,y,z \ L(z,u,w)),x,y) = a(x,y,z \ R(z,u,w)).
a(L(x / y,z,u) * L(R(y,x,w),z,u),v5,v6) = a(L(a(y,x,w) * x,z,u),v5,v6).
(x \ 1) * (a(x \ 1,a(x,y,z),u) * a(x,y,z)) = R(x,a(x,y,z),u) \ a(x,y,z).
a(L(R(x,y,z) \ 1,R(x,y,z),u),u,w) = R(R(x,u,w),y,z) \ R(x,y,z).
a(L(R(x,y,z) \ 1,R(x,y,z),y * z),y * z,z \ 1) = R(x,z,z \ 1) \ R(x,y,z).
R(x,y,z) \ x = a(y \ (x \ y),y,z).
a(x \ (y \ x),x,z) = R(y,x,z) \ y.
R(x,y,z) \ x = a(x \ a(y,x,x),y,z).
a(x \ a(y,x,x),y,z) = R(x,y,z) \ x.
a(x,x,a(y \ (z \ y),y,u)) = a(a(z,x,x),y,u).
a(a(x,y,y),z,u) = a(y,L(y,z,u) \ y,x).
a(x,L(x,y,z) \ x,u) = a(a(u,x,x),y,z).
R(x / y,y,z \ 1) \ (x / y) = a(x \ y,y,z \ K(u,w)).
a(x \ y,y,z \ K(u,w)) = R(x / y,y,z \ 1) \ (x / y).
L(x,y,z) = L(x,y,L(z,y,x)).
L(x,y,L(z,y,x)) = L(x,y,z).
L(x,y,a(y,x,z)) = L(x,y,y \ R(y,x,z)).
L(x,y,y \ R(y,x,z)) = L(x,y,a(y,x,z)).
L(x,y,y \ L(y,x,z)) = L(x,y,a(y,x,z)).
L(x,y,a(y,x,z)) = L(x,x,a(z,y,y)).
L(L(x \ L(x,x,a(y,z,z)),u,w),v5,x) = L(x \ L(x,z,a(z,x,y)),u,w).
x * (L(x,y,a(y,x,z)) \ u) = a(a(z,y,y),x,x) * u.
L(x,y,a(y,x,z)) = L(x,x,a(y,y,z)).
a(x,y,z) * (y \ L(y,x,a(x,y,z))) = x \ R(x,y,z).
R(R(x,x,y),x,y) \ z = x \ (a(x * x,x,y) \ z).
x * (L(x,y,a(y,x,z)) \ u) = a(y,y,a(z,x,x)) * u.
a(x,y,z) * a(y,x,a(x,y,z)) = x \ R(x,y,z).
x * (L(x,y,a(y,x,z)) \ a(y,x,z)) = y \ R(y,x,z).
x * L(x \ a(y,x,z),y,a(y,x,z)) = y \ R(y,x,z).
x \ R(x,y,z) = L(a(x,y,z),x,y).
L(a(x,y,z),x,y) = x \ R(x,y,z).
L(a(a(x,y,y),z,u),y,L(y,z,u) \ y) = y \ R(y,L(y,z,u) \ y,x).
x \ R(x,L(x,y,z) \ x,u) = a(a(u,x,x),y,z).
x \ L(x,L(x,y,z) \ x,u) = a(a(u,x,x),y,z).
x * a(a(y,x,x),z,u) = L(x,L(x,z,u) \ x,y).
L(x,L(x,y,z) \ x,u) = x * a(a(u,x,x),y,z).
a(x,y,a(z,z,u)) * z = L(z,L(z,y,x) \ z,u).
L(x,L(x,y,z) \ x,u) = a(z,y,a(x,x,u)) * x.
L(x,L(x,y,z) \ x,u) \ w = a(z,y,a(u,x,x)) * (x \ w).
a(x,L(y,z,u) \ y,y) = a(u,z,a(x,y,y)).
a(x,y,a(z,u,u)) = a(z,u,L(u,y,x) \ u).
a(x,y,L(y,z,u) \ y) = a(u,z,a(x,y,y)).
a(x \ 1,y,L(y,z,u) \ y) = a(a(x,y,y),z,u).
a(x,y,a(z,y,a(u,w,y))) = a(z,a(u,w,y),a(x,y,y)).
a(x,a(y,z,u),a(w,u,u)) = a(w,u,a(x,u,a(y,z,u))).
(a(a((x * y) \ 1,z,z),y,x) * z) \ (z * (z \ R(z,y,x))) = a(z \ 1,y,x) \ 1.
a(L(R(x \ 1,y,z),R(x,y,z),u),u,w) = R(R(x,u,w),y,z) \ R(x,y,z).
L(L(a(x,x,a(y,z,z)),u,w),v5,x) = L(x \ L(x,z,a(z,x,y)),u,w).
L(a(x,x,a(y,z,L(z,u,w))),v5,x) = L(x \ L(x,z,a(z,x,y)),u,w).
a(x,x,L(a(y,z,L(z,u,w)),v5,x)) = L(x \ L(x,z,a(z,x,y)),u,w).
a(L(R(x \ 1,y,z),L(x,y,z),u),u,w) = R(R(x,u,w),y,z) \ R(x,y,z).
a(L(L(x \ 1,y,z),L(x,y,z),u),u,w) = R(R(x,u,w),y,z) \ R(x,y,z).
a(L(L(x \ 1,y,z),L(x,y,z),u),u,w) = R(R(x,u,w) \ x,y,z).
L(R(x,y,z) \ x,u,w) = a(L(L(x \ 1,u,w),L(x,u,w),y),y,z).
a(L(L(x \ 1,y,z),L(x,y,z),u),u,w) = L(R(x,u,w) \ x,y,z).
a(a(x,y,z),L(x,u,w),v5) = L(v5,a(x,y,z),L(x,u,w)) \ v5.
L(x,a(y,z,u),L(y,w,v5)) \ x = a(a(y,z,u),L(y,w,v5),x).
L(x \ R(x,L(y \ 1,z,u),w),x,L(y \ 1,z,u)) = a(x,L(y,z,u) \ 1,w).
a(x,L(y \ 1,z,u),w) = a(x,L(y,z,u) \ 1,w).
L(a(x,L(y \ 1,z,u),w),w,L(y \ 1,z,u)) \ w = L(w,L(y,z,u) \ 1,x).
L(x,L(y,z,u) \ 1,w) = L(x,L(y \ 1,z,u),w).
L(x,L(y \ 1,z,u),w) = L(x,L(y,z,u) \ 1,w).
(x \ L(x,L(x,y,z) \ x,u)) * (L(x,y,z) \ x) = L(L(x,y,z) \ x,x,u).
a(a(x,y,y),z,u) * (L(y,z,u) \ y) = L(L(y,z,u) \ y,y,x).
a(x \ 1,y,L(y,z,u) \ y) * (L(y,z,u) \ y) = L(L(y,z,u) \ y,y,x).
a(x,y,L(z,z \ 1,z * y)) = y \ (L(((1 / z) \ y) / y,y,x) \ ((1 / z) \ y)).
L(a(x,y,a(z,z,u)),x,y) \ x = L(x,a(z,z,u) * y,a(u,z,z)).
L(x,a(y,y,z) * u,a(z,y,y)) = L(a(x,u,a(y,y,z)),x,u) \ x.
L(x,a(y,y,z) * u,a(z,y,y)) = L(x,u,a(z,y,y)).
L(x,y,a(z,u,u)) = L(x,a(u,u,z) \ y,a(z,u,u)).
L(x,a(y,y,z) \ u,a(z,y,y)) = L(x,u,a(z,y,y)).
L(x,y,a(z,u,u)) = L(x,a(z,u,u) * y,a(z,u,u)).
L(x,a(y,z,z) * u,a(y,z,z)) = L(x,u,a(y,z,z)).
L(a(x,a(x,y,z),u) \ w,a(x,a(x,y,z),u),x) = x * (L(x,a(x,y,z),u) \ w).
a(L(x / y,z,u) * L(L(y,x,w),z,u),v5,v6) = a(L(a(y,x,w) * x,z,u),v5,v6).
a(x,y,L(z,z \ 1,z * y)) = y \ (((1 / z) * L((1 / z) \ 1,y,x)) \ y).
a(x,y,L(z,z \ 1,z * y)) = y \ (((1 / z) * L(z,y,x)) \ y).
a(x,y,L(z,z \ 1,z * y)) = y \ ((z \ L(z,y,x)) \ y).
x \ ((y \ L(y,x,z)) \ x) = a(z,x,L(y,y,(y * x) \ 1)).
a(x,y,L(z,z,(z * y) \ 1)) = y \ ((z \ L(z,y,x)) \ y).
a(x,y,L(z,z,y \ (z \ 1))) = y \ ((z \ L(z,y,x)) \ y).
x \ ((y \ L(y,x,z)) \ x) = a(z,x,L(y,y,x \ 1)).
a(L(a(x,y,z) * y,u,w),v5,v6) = a(L((y / x) * L(x,y,z),u,w),v5,v6).
a(L((x / y) * L(y,x,z),u,w),v5,v6) = a(L(a(y,x,z) * x,u,w),v5,v6).
a(L(a(x,y,z) \ y,u,w),v5,v6) = a(L(a(z,y,x) * y,u,w),v5,v6).
a(L(a(x,y,z) * y,z,x),u,w) = a(L(y,x,z),u,w).
a(a(L(a(x,y,z) * y,z,x),u,L(y,x,z)),w,v5) = 1.
a(x,y,y) * L(x \ z,x,a(x,y,y)) = y * (L(y,y,x * x) \ (R(x,y,y) \ z)).
a(x,y,y) * L(x \ z,x,a(x,y,y)) = a(x * x,y,y) * (R(x,y,y) \ z).
a(x * x,y,y) * (R(x,y,y) \ z) = R(x,y,y) * (x \ (x \ z)).
a(x * x,y,y) * (R(x,y,y) \ z) = (a(x,y,y) \ x) \ z.
(a(x,y,y) \ x) \ z = (R(x,y,y) \ z) * a(x * x,y,y).
(R(x,y,y) \ z) * a(x * x,y,y) = (a(x,y,y) \ x) \ z.
L(L(x,x,y),z,u) * ((L(L(x,x,y),z,u) \ L(x,z,u)) * w) = L(x,z,u) * w.
L(x,y,z) * u = L(L(x,y,z),x,w) * (a(w,x,L(x,y,z)) * u).
L(L(x,y,z),x,u) * (a(u,x,L(x,y,z)) * w) = L(x,y,z) * w.
L(x,y,z) * (L(L(x,y,z),x,u) \ w) = (L(L(x,y,z),x,u) \ L(L(L(x,y,z),x,u),x,u \ 1)) * w.
(L(L(x,y,z),x,u) \ L(L(L(x,y,z),x,u),x,u \ 1)) * w = L(x,y,z) * (L(L(x,y,z),x,u) \ w).
(a(a(x,x,y * z),z,y) * x) \ (x * (x \ R(x,z,y))) = a(x \ 1,z,y) \ 1.
(a(x,x,a(y,z,z)) * x) \ (x * (x \ R(x,z,y))) = a(x \ 1,z,y) \ 1.
L(x,x,a(y,z,z)) \ (x * (x \ R(x,z,y))) = a(x \ 1,z,y) \ 1.
L(x,x,a(y,z,z)) \ R(x,z,y) = a(x \ 1,z,y) \ 1.
a(x \ 1,y,z) \ 1 = a(x,y,z).
a(x,y,z) \ 1 = a(x \ 1,y,z).
a(x \ 1,y,z) = a(x,y,z) \ 1.
a(x,y,z) \ x = x * a(x \ 1,y,z).
x * a(x \ 1,y,z) = a(x,y,z) \ x.
a(x,y,z) \ z = z * a(x \ 1,y,z).
x * a(y \ 1,z,x) = a(y,z,x) \ x.
(a(x,y,z) / u) \ 1 = (1 / u) \ a(x \ 1,y,z).
(1 / x) \ a(y \ 1,z,u) = (a(y,z,u) / x) \ 1.
(1 / x) \ a(y,z,u) = (a(y \ 1,z,u) / x) \ 1.
(a(x \ 1,y,z) / u) \ 1 = (1 / u) \ a(x,y,z).
L(a(x,y,z),u,w) \ 1 = L(a(x \ 1,y,z),u,w).
L(a(x \ 1,y,z),u,w) = L(a(x,y,z),u,w) \ 1.
L(x,a(y,z,u),w) = L(x,a(u,z,y \ 1),w).
L(x,a(y,z,u \ 1),w) = L(x,a(u,z,y),w).
a(x,a(y,z,u),w) = a(w,a(y,z,u),x \ 1).
a(x,a(y,z,u),w \ 1) = a(w,a(y,z,u),x).
a(x,y,a(z,u,w)) = a(a(z,u,w),y,x \ 1).
a(a(x,y,z),u,w \ 1) = a(w,u,a(x,y,z)).
L(x,y,a(z,u,w)) = L(x,y,a(w,u,z \ 1)).
L(x,y,a(z,u,w \ 1)) = L(x,y,a(w,u,z)).
a(a(x,y,z),u,w) = a(a(z,y,x \ 1),u,w).
a(a(x,y,z \ 1),u,w) = a(a(z,y,x),u,w).
a(a(x,y,z),u,w) \ 1 = a(a(z,y,x),u,w).
((x \ a(y,z,u)) * x) \ 1 = x * (a(y \ 1,z,u) / x).
a(x \ 1,y,z) / (u \ a(w,u,u)) = (a(x,y,z) / L(u,u,w)) \ 1.
T(x * a(y \ 1,z,u),w) \ 1 = a(y,z,u) * (T(x,w) \ 1).
a(x \ 1,y,z) * y = a(x,y,z) \ y.
L(x,a(y \ 1,z,u),w) = L(x,a(u,z,y),w).
a(a(x,y,z) \ 1,u,w) = a(w,u,a(x,y,z)).
a(x \ 1,a(y,z,u),w) = a(w,a(y,z,u),x).
a(x \ 1,y,a(z,u,w)) = a(a(z,u,w),y,x).
L(x,y,a(z \ 1,u,w)) = L(x,y,a(w,u,z)).
a(x \ 1,y,a(y,z,u)) = a(y,a(y,z,u),x).
a(a(x \ 1,y,z),u,w) = a(a(z,y,x),u,w).
a(x,y,z) \ a(u,x,a(x,y,z)) = L(a(x \ 1,y,z),x,u).
a(x,y,z) * (a(x \ 1,y,z) * u) = L(u,a(x,y,z),a(z,y,x)).
R(a(x \ 1,y,z),a(x,y,z),L(x,x,a(z,y,y))) = L(x,x,a(z,y,y)) / R(x,y,z).
L(x \ L(x,y,z),x,y) = a(z \ 1,y,x).
a(L(x \ 1,x,y) \ 1,y,z) = (R(x,y,z) \ x) \ 1.
(x \ y) \ R(x \ y,x,z) = a((y \ x) \ 1,x,z).
a(x \ y,y,a(z,u,w) \ K(v5,v6)) = R(x / y,y,a(z \ 1,u,w)) \ (x / y).
L(x \ y,x,a(x \ 1,z,u)) = (a(x,z,u) \ x) \ (a(x \ 1,z,u) * y).
(a(x,y,z) \ x) \ (a(x \ 1,y,z) * u) = L(x \ u,x,a(x \ 1,y,z)).
L(x,y,z \ 1) = (a(z,y,x) \ y) \ (y * x).
(a(x,y,z) \ y) \ (y * z) = L(z,y,x \ 1).
a((x \ L(x,y,z)) \ 1,u,w) = a(w,u,x \ R(x,y,z)).
a(x,y,a(z,z,u)) * a(z,z,u) = a(z,z,L(u,y,x \ 1)).
a(a(x,y,z),u,w) = a(w,u,a(z,y,x)).
a(a(x,y,z),u,w * v5) = a(v5 * w,u,a(z,y,x)).
a(x,y,a(z,u,w)) * v5 = v5 * a(a(w,u,z),y,x).
a(a(x,y,z),u,w) * v5 = v5 * a(w,u,a(z,y,x)).
L(a(a(x,y,z),u,w) \ v5,w,a(w,u,a(z,y,x))) = w * ((a(w,u,a(z,y,x)) * w) \ v5).
a(x,y,a(z,u,y)) = a(y,a(y,u,z),x).
a(x,a(x,y,z),u) = a(u,x,a(z,y,x)).
a(x,y,a(y,z,u)) = a(y,a(u,z,y),x).
a(x,a(y,z,x),u) = a(u,x,a(x,z,y)).
a(x,y,a(y,z,u)) * y = L(y,a(u,z,y),x).
a(x \ 1,y,a(z,u,w)) = a(x,y,a(w,u,z)).
a(a(x,y,z),u,w \ 1) = a(a(z,y,x),u,w).
a(x,y,a(z \ 1,u,w)) = a(a(z,u,w),y,x).
a(a(x,y,a(z,u,w)),v5,v6) = a(v6,v5,a(x,y,a(w,u,z))).
a(x,a(x,a(y,z,x),u),w) = a(w,x,a(u,x,a(y,z,x))).
a(x,a(x,y,z),y) = a(x,x,a(z,y,y)).
a(x,y,a(z,u,y)) * y = L(y,a(y,u,z),x).
x * a(y,x,a(z,u,x)) = L(x,a(x,u,z),y).
x * (y * a(a(z,u,x) \ y,x,a(x,u,z))) = (x * a(z,u,x)) * (a(z,u,x) \ y).
L(x,y,a(z,y,a(y,u,w))) * a(y,a(y,a(w,u,y),z),x) = x.
a(x,y,z) * a(u,z,a(z,y,x)) = L(a(x,y,z),z,u).
a(x,a(y,z,x),u) \ 1 = a(x,a(x,z,y),u).
x \ L(x,y,a(y,z,u)) = a(y,a(u,z,y),x).
x * a(y,a(z,u,y),x) = L(x,y,a(y,u,z)).
a(x,y,a(y,x,z)) = a(y,y,a(z,x,x)).
a(a(x,y,z) \ (z \ u),z,a(z,y,x)) = a(z,a(x,y,z),u).
(a(x,x,a(y,z,z)) \ a(x,u,w)) \ 1 = a(x,u,w) \ a(x,a(x,z,y),z).
a(x,y,a(y,x,z)) = a(y,y,a(x,x,z)).
a(x \ 1,y,z) * L(u,a(z,y,x),a(x \ 1,y,z)) = (1 / a(x \ 1,y,z)) \ u.
L(x,a(y \ 1,z,u),y) = L(x,y,a(u,z,y)).
a(x,a(y \ 1,z,u),w) = L(L(w,a(u,z,y),x) \ w,w,a(y \ 1,z,u)).
L(L(x,a(y,z,u),w) \ x,x,a(u \ 1,z,y)) = a(w,a(u \ 1,z,y),x).
a(a(x \ 1,y,z),u,w) = a(w,u,a(x,y,z)).
a(x,y,y) * a(a(y,y,x),z,u) = a(x,y,L(y,z,u \ 1)).
a(L(x \ 1,y,z),u,a(u,w,v5)) = a(u,a(u,w,v5),L(x,y,z)).
L(L(x,y,z),y,z \ 1) = x.
L(x,y,z) = L(L(L(x,u,w),y,z),u,w \ 1).
L(L(L(x,y,z),u,w),y,z \ 1) = L(x,u,w).
x = L(L(x,y,z \ 1),y,z).
L(L(x,y,z \ 1),y,z) = x.
L((x * y) \ z,y,x \ 1) = y \ (x \ z).
(x * y) * z = x * (y * L(z,y,x \ 1)).
x * (y * L(z,y,x \ 1)) = (x * y) * z.
L(x,y,z) = L(L(L(x,u,w \ 1),y,z),u,w).
L(L(L(x,y,z \ 1),u,w),y,z) = L(x,u,w).
a(a(L(x,y,z),u,w),v5,x) = 1.
a(x,L(L(y,z,u),z,u \ 1),a(L(y,z,u),w,v5)) = a(x,a(L(y,z,u),w,v5),y).
x = L(L(x,y,a(z,u,w)),y,a(w,u,z)).
L(L(x,y,a(z,u,w)),y,a(w,u,z)) = x.
L(L(x,y,z) \ x,x,(z * y) \ 1) = a(z,y,x).
a(x,y,z) = L(L(z,y,x) \ z,z,(x * y) \ 1).
L(a(x,y,z),z,y \ 1) = L(z,y,x) \ z.
L(L(x,y,z \ (z \ 1)),y,z * z) = x.
L(a(x,a(x,y,z),u \ 1) * x,a(x,y,z),u) = x.
a(x \ 1,a(L(x,y,z),u,w),v5) = R(x,a(L(x,y,z),u,w),v5) \ x.
(a(x,y,z) * u) * w = a(x,y,z) * (u * L(w,u,a(z,y,x))).
a(x,y,z) * (u * L(w,u,a(z,y,x))) = (a(x,y,z) * u) * w.
L(a(x,y,z) * u,u,a(z,y,x)) = (1 / u) \ a(x,y,z).
L(x \ a(y,z,u),x,a(u,z,y)) = (x \ 1) * a(y,z,u).
L(x,y,z \ 1) = y \ (z \ ((z * y) * x)).
x \ (y \ ((y * x) * z)) = L(z,x,y \ 1).
x \ ((x * y) * z) = y * L(z,y,x \ 1).
a(x \ 1,y,a(z,x,y)) * (y * (L(y,x,z) \ y)) = y * a(z,x,y).
(x \ y) \ (x \ (y * z)) = L(z,x \ y,x \ 1).
x \ ((y / x) \ (y * z)) = L(z,x,(x \ y) \ 1).
(x * y) \ ((x \ 1) \ (y \ ((x \ 1) * (x * y)))) = L(y \ 1,x * y,(x \ 1) \ 1).
L(x,y,z \ 1) = x * (L(x,y,z) \ x).
x * (L(x,y,z) \ x) = L(x,y,z \ 1).
x \ (y \ (a(y * y,y,z) \ ((R(R(y,y,z),y,z) * x) * u))) = L(u,x,R(R(y,y,z),y,z) \ 1).
x \ L(x,y,z \ 1) = L(x,y,z) \ x.
(L(x,y,z) \ x) * x = L(x,y,z \ 1).
L(x,y,z \ 1) \ x = x \ L(x,y,z).
x * (L(x,a(y,z,u),L(y,w,v5)) \ x) = L(x,L(y,w,v5),a(y,z,u) \ 1).
(x / y) * L(y,z,u \ 1) = x * L(L(y,z,u) \ y,y,x).
x * L(L(y,z,u) \ y,y,x) = (x / y) * L(y,z,u \ 1).
L(x \ 1,y,z) \ (x \ 1) = x * L(x \ 1,y,z \ 1).
(L(x,y,z) \ x) * (L(x,u,w) \ x) = L(x,y,z) \ L(x,u,w \ 1).
x \ L(x,y,a(z,u,w) \ w) = L(x,y,w \ a(z,u,w)) \ x.
L(x,y,z \ a(u,w,z)) \ x = x \ L(x,y,a(u,w,z) \ z).
x \ L(x,y,L(z,u,w)) = L(x,y,L(z \ 1,u,w)) \ x.
L(x,y,L(z \ 1,u,w)) \ x = x \ L(x,y,L(z,u,w)).
x \ L(x,y,a(z,u,w)) = L(x,y,a(w,u,z)) \ x.
L(x,y,a(z,u,w)) \ x = x \ L(x,y,a(w,u,z)).
(x * L(y,z,u \ 1)) / L(y,L(y,z,u) \ y,x) = x * (L(y,z,u) \ y).
(L(x,a(y \ 1,z,u),y) \ x) * x = L(x,y \ 1,a(y \ 1,z,u)).
(L(x,y,a(z,u,y)) \ x) * x = L(x,a(z,u,y),y \ 1).
a(x,y,a(y,z,u)) * a(y,z,u) = L(a(y,z,u),y,x \ 1).
a(x,y,z) * L(z,z,a(x,y,y)) = L(z,y,x \ 1).
L(x,y,z) \ L(L(x,y,z),u,w) = L(L(x,u,w \ 1) \ x,y,z).
a(x \ (y \ ((y * z) * x)),u,w) = a((x \ z) * L(x,z,y \ 1),u,w).
L(x,a(y,z,x),u) = x * a(u,x,a(x,z,y)).
x * a(y,x,a(x,z,u)) = L(x,a(u,z,x),y).
a((x \ 1) * y,z,a(u,w,v5)) = a(x * (y \ 1),z,a(v5,w,u)).
a((x \ 1) \ y,z,a(u,w,v5)) = a(x \ (y \ 1),z,a(v5,w,u)).
a(a(x,y,z),u,L(w,w,v5)) = a(a(z,y,x),u,v5 \ (w \ v5)).
a(x,y,a(L(z \ 1,u,w),v5,v6)) = a(a(L(z,u,w),v5,v6),y,x).
a(x,y,a(z * z,u,w)) = a(a(z \ (z \ 1),u,w),y,x).
a(a(x \ (x \ 1),y,z),u,w) = a(w,u,a(x * x,y,z)).
a(x \ 1,y,z) * ((u \ w) * a(a(x,y,z),u \ w,u)) = u \ (w * T(a(x \ 1,y,z),u \ w)).
a(x,y,a(z,u,w) \ 1) = a(a(z,u,w),y,x).
a(x,y,a(z \ 1,u,w)) = a(x,y,a(w,u,z)).
(a(x,y,z) * a(x,a(u,w,x),v5)) \ 1 = a(x,y,z) \ a(x,a(x,w,u),v5).
a(x \ 1,a(y,z,x),u) = a(x,a(x,z,y),u).
a(x,a(y,z,x),R(u,w,v5)) = R(u \ L(u,x,a(x,z,y)),w,v5).
R(x \ L(x,y,a(y,z,u)),w,v5) = a(y,a(u,z,y),R(x,w,v5)).
a(x,y,a(z,u,w)) = a(x,y,a(w,u,z \ 1)).
a(x,y,a(z,u,w \ 1)) = a(x,y,a(w,u,z)).
a(x,y,a(z,u,w \ K(v5,v6))) = a(x,y,a(w,u,z)).
a(x,y,a(z,u,L(w \ 1,v5,v6))) = a(x,y,a(L(w,v5,v6),u,z)).
a(x \ a(y,z,x),x,u) = L(L(u,x,x \ a(y,z,x)) \ u,u,((x \ 1) * (a(y,z,x) * x)) \ 1).
L(L(x,y,y \ a(z,u,y)) \ x,x,((y \ 1) * (a(z,u,y) * y)) \ 1) = a(y \ a(z,u,y),y,x).
L(x,y,L(z,u \ w,u \ 1)) = L(x,y,(u \ w) \ (u \ (z * w))).
L(x,y,(z \ u) \ (z \ (w * u))) = L(x,y,L(w,z \ u,z \ 1)).
x \ ((y / x) \ (y * z)) = L(z,x,x * (y \ 1)).
T(x / y,z) \ T((x * u) / (y * u),z) = a((x \ y) \ 1,y,u).
R(x \ (y \ x),z,x) \ R(x \ (R(y,z,x) \ x),x,u) = a(((R(y,z,x) \ x) \ x) \ 1,x,u).
a(a(x,y,z),u,w) \ (a(w,u,a(z,y,x)) * v5) = v5.
L(a(x,a(y,z,u),y) * y,a(y,z,u),x) = y.
L(a(x,y,a(y,z,u)) * y,a(y,z,u),x) = y.
L(L(x,a(y,z,x),u),a(x,z,y),u) = x.
L(x,a(x,y,z),u) = L(x,a(z,y,x),u \ 1).
L(x,a(y,z,x),u \ 1) = L(x,a(x,z,y),u).
(x * y) \ L(x * y,z,a(u,w,y)) = L(x,z,a(y,w,u)) \ x.
x * y != a(a(z,u,w),v5,v6) \ (a(v6,v5,a(w,u,z)) * (v7 * y)) | x = v7.
a(a(x,y,z),u,w) \ (a(w,u,a(z,y,x)) * (v5 * v6)) != v7 * v6 | v7 = v5.
a(L(x \ 1,x,y) \ 1,y,z) = x \ R(x,y,z).
a(L((x \ 1) \ 1,x,y),y,z) = x \ R(x,y,z).
x \ R(x,y,z) = a(L(x,x,y),y,z).
a(L(x,x,y),y,z) = x \ R(x,y,z).
a(L(R(1 / x,x,x \ y),R(1 / x,x,x \ y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
a(R(x,y,z),L(x,u,w) \ x,v5) = R(x,y,z) \ R(R(x,y,z),L(x,u,w) \ x,v5).
R(x,y,z) \ R(R(x,y,z),L(x,u,w) \ x,v5) = a(R(x,y,z),L(x,u,w) \ x,v5).
a(((L(x,((x / y) \ 1) \ y,x) / y) \ 1) \ y,x,z) = (((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z).
a(L(x,y,z) \ x,u,w) = a(w,u,x \ R(x,y,z)).
a(x,y,z \ L(z,u,w)) = a(L(z,u,w) \ z,y,x).
a(L(x,y,z) \ x,u,w) = a(w,u,x \ L(x,y,z)).
T(a(L(x,y,z) \ x,u,w) * (L(x,y,z) \ x),(L(x,y,z) \ x) \ 1) = ((L(x,y,z) \ x) \ 1) \ a(w,u,x \ L(x,y,z)).
a(x,y,L(L(z \ 1,u,w) * z,z,z)) = a(L(z \ 1,u,w) \ (z \ 1),y,x).
(x \ L(x,y,a(y,z,u))) * x = L(x,a(u,z,y),y \ 1).
L(x,a(y,z,u),u \ 1) = L(x,u,a(u,z,y)).
x \ ((x * a(y,z,x)) * u) = a(y,z,x) * L(u,x,a(x,z,y)).
a(x,y,z) * L(u,z,a(z,y,x)) = z \ ((z * a(x,y,z)) * u).
a(x \ (a(y,z,x) \ u),x,a(x,z,y)) = a(x,a(y,z,x),u).
a(x,a(y,z,x),u) = a(a(y,z,x) \ u,x,a(x,z,y)).
a(a(x,y,z) \ u,z,a(z,y,x)) = a(z,a(x,y,z),u).
(x / y) * (y * a(z,u,w)) = a(z,u,w) * (y * L(y \ x,y,a(w,u,z))).
a(x,y,z) * (u * L(u \ w,u,a(z,y,x))) = (w / u) * (u * a(x,y,z)).
R(a(x,a(y,z,x),u),w,v5) = a(x,a(y,z,x),R(u,w,v5)).
a(x,a(y,z,x),R(u,w,v5)) = R(a(x,a(y,z,x),u),w,v5).
a(x,a(y,z,x),L(u,w,v5)) = R(a(x,a(y,z,x),u),w,v5).
R(a(x,a(y,z,x),u) \ 1,w,v5) = a(x,a(y,z,x),L(u,w,v5)) \ 1.
L(a(x,a(y,z,x),u),w,v5) = a(x,a(y,z,x),L(u,w,v5)).
a(x,a(y,z,x),L(u,w,v5)) = L(a(x,a(y,z,x),u),w,v5).
(x * y) \ L(x * y,z,a(u,w,y)) = x \ L(x,z,a(u,w,y)).
L(a(x,y,z) * u,z,a(z,y,x)) = z \ ((z * a(x,y,z)) * u).
L(x,a(y,z,u),a(u,z,y)) != a(y,z,u) * w | a(y \ 1,z,u) * x = w.
L(x,y,z) \ L(L(x,y,z),u,w) = L(x \ L(x,u,w),y,z).
L(x,y,z) \ L(L(x,u,w),y,z) = L(x \ L(x,u,w),y,z).
L(x \ L(x,y,a(y,z,u)),w,v5) = a(L(x,w,v5),y,a(y,z,u)).
L(a(x,y,a(y,z,u)),w,v5) = a(L(x,w,v5),y,a(y,z,u)).
a(L(x,y,z),u,a(u,w,v5)) = L(a(x,u,a(u,w,v5)),y,z).
R(x,a(L(x,y,z),u,w),v5) \ x = a(v5,a(L(x,y,z),u,w),x).
a(a(x,y,z),z,y) * (z * (L(z,y,x) \ z)) = z * a(x,y,z).
a(x,a(y,z,x),z) * (x * (L(x,z,y) \ x)) = x * a(y,z,x).
a(x,x,a(y,z,z)) * (x * (L(x,z,y) \ x)) = x * a(y,z,x).
a(x,x,a(y,z,z)) * L(x,z,y \ 1) = x * a(y,z,x).
x * a(y,z,x) = L(L(x,x,a(y,z,z)),z,y \ 1).
L(L(x,x,a(y,z,z)),z,y \ 1) = x * a(y,z,x).
L(L(x,x,a(y,y,z)),y,z \ 1) = x * a(z,y,x).
L(x * a(y,z,x),z,y) = L(x,x,a(y,z,z)).
L(x,x,a(y \ 1,z,z)) \ (x * a(y \ 1,z,x)) = (x * a(y \ 1,z,x)) \ L(x * a(y \ 1,z,x),z,y).
(x * a(y \ 1,z,x)) \ L(x * a(y \ 1,z,x),z,y) = L(x,x,a(y \ 1,z,z)) \ (x * a(y \ 1,z,x)).
L(x,x,a(L(y \ 1,z,u),w,w)) \ (x * a(L(y \ 1,z,u),w,x)) = (x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = L(x,x,a(L(y \ 1,z,u),w,w)) \ (x * a(L(y \ 1,z,u),w,x)).
L(L(x,x,a(y,y,z \ y)),y,(y * (z \ 1)) \ 1) = x * a(y * (z \ 1),y,x).
L(L(x,x,a(y,z,z)),z,(y \ z) \ 1) = x * a(y \ z,z,x).
(L(x,y,a(z,u,y)) \ x) * x = L(x,y \ 1,a(y \ 1,u,z)).
L(x,y \ 1,a(y \ 1,z,u)) = (L(x,y,a(u,z,y)) \ x) * x.
L(x,y \ 1,a(y \ 1,z,u)) = (x \ L(x,y,a(y,z,u))) * x.
L(x,y \ 1,a(y \ 1,z,u)) = L(x,y,a(y,z,u)).
L(x,y,a(y,z,u)) = L(x,y \ 1,a(u,z,y)).
L(x,y \ 1,a(z,u,y)) = L(x,y,a(y,u,z)).
L((1 / x) \ y,x,a(x,z,u)) = (a(u,z,x) / x) \ (a(u,z,x) * y).
(a(x,y,z) / z) \ (a(x,y,z) * u) = L((1 / z) \ u,z,a(z,y,x)).
R(a(x,a(y,z,x),u) \ 1,w,v5) = a(x,a(x,z,y),L(u,w,v5)).
R(a(x,a(x,y,z),u),w,v5) = a(x,a(x,y,z),L(u,w,v5)).
a(x,a(x,y,z),L(u,w,v5)) = R(a(x,a(x,y,z),u),w,v5).
L(a(x,a(x,y,z),u),w,v5) = a(x,a(x,y,z),L(u,w,v5)).
a(x,a(x,y,z),L(u,w,v5)) = L(a(x,a(x,y,z),u),w,v5).
a(x,a(x,y,z),L(u,w,v5)) = L(a(u,x,a(z,y,x)),w,v5).
a((T(x,y) \ z) * L(T(x,y),z,u \ 1),w,v5) = a(T(x,y) \ (u \ ((u * z) * x)),w,v5).
a(T(x,y) \ (z \ ((z * u) * x)),w,v5) = a((T(x,y) \ u) * L(T(x,y),u,z \ 1),w,v5).
(a(x,y,z) \ x) \ (a(x \ 1,y,z) * u) = L(x \ u,x,a(z,y,x)).
(a(x,y,z) \ x) \ u = L(x \ (a(x \ 1,y,z) \ u),x,a(z,y,x)).
L(x \ (a(x \ 1,y,z) \ u),x,a(z,y,x)) = (a(x,y,z) \ x) \ u.
(a(a(x,y,y),z,z) * a(z,u,w)) \ 1 = a(z,u,w) \ a(z,a(z,y,x),y).
a(x,a(y \ 1,z,u),w) = L(L(w,a(u,z,y),x) \ w,w,a(u,z,y)).
L(L(x,a(y,z,u),w) \ x,x,a(y,z,u)) = a(w,a(u \ 1,z,y),x).
a(x,a(y,z,u),w) = a(x,a(u \ 1,z,y),w).
a(x,a(y \ 1,z,u),w) = a(x,a(u,z,y),w).
a(x \ 1,a(x \ 1,y,z),u) = a(x,a(x,y,z),u).
x * a(a(y,z,u),L(y,w,v5),x) = L(x,L(y,w,v5),a(y,z,u) \ 1).
L(x,L(y,z,u),a(y,w,v5) \ 1) = x * a(a(y,w,v5),L(y,z,u),x).
x * a(a(y,z,u),L(y,w,v5),x) = L(x,L(y,w,v5),a(u,z,y)).
a(a(x,y,z),L(x,u,w),v5) * v5 = L(v5,L(x,u,w),a(z,y,x)).
a(x,y,z) * L(x * (x \ u),x,a(z,y,x)) = (u / x) * (x * a(x,y,z)).
(x \ R(x,y,z)) \ 1 = a(x,y,z) \ a(x,a(x,y,z),y).
a(x,y,z) \ a(x,a(x,y,z),y) = (x \ R(x,y,z)) \ 1.
a(x,y,z) \ a(x,a(x,y,z),y) = R(x,y,z) \ x.
a(x,y,z) \ a(x,x,a(z,y,y)) = R(x,y,z) \ x.
a(x,y,z) \ a(y,x,a(x,y,z)) = R(x,y,z) \ x.
R(x,y,z) \ x = L(a(x \ 1,y,z),x,y).
L(a(x \ 1,y,z),x,y) = R(x,y,z) \ x.
a(x,y,z) * L(u,x,a(z,y,x)) = (u / x) * (x * a(x,y,z)).
(x / y) * (y * a(y,z,u)) = L(x,y,a(u,z,y)) * a(y,z,u).
L(x,y,a(z,u,y)) * a(y,u,z) = (x / y) * (y * a(y,u,z)).
L(x * a(y,z,u),y,a(u,z,y)) = (x / y) * (y * a(y,z,u)).
a(x \ y,y,a(z,u,w) \ K(v5,v6)) = L(x / y,y,a(z \ 1,u,w)) \ (x / y).
a(x,y,a(L(y,z,u),w,v5)) = a(x,a(L(y,z,u),w,v5),y).
a(x,a(L(y,z,u),w,v5),y) = a(x,y,a(L(y,z,u),w,v5)).
R(x,a(L(x,y,z),u,w),v5) \ x = a(v5,x,a(L(x,y,z),u,w)).
L(x,a(L(x,y,z),u,w),v5) \ x = a(v5,x,a(L(x,y,z),u,w)).
L(L(x,x,a(y,z,z)),z,(z * (y \ 1)) \ 1) = x * a(z * (y \ 1),z,x).
x * a(y * (z \ 1),y,x) = L(L(x,x,a(z,y,y)),y,y \ ((z \ 1) \ 1)).
L(L(x,x,a(y,z,z)),z,z \ ((y \ 1) \ 1)) = x * a(z * (y \ 1),z,x).
x * a(y * (z \ 1),y,x) = L(L(x,x,a(z,y,y)),y,y \ z).
L(L(x,x,a(y,z,z)),z,z \ y) = x * a(z * (y \ 1),z,x).
L(L(x,x,a(y,z,z)),z,z \ y) != x * u | a(z * (y \ 1),z,x) = u.
a(x \ y,y,a(z,u,w) \ K(v5,v6)) = L(x / y,y,a(w,u,z)) \ (x / y).
a(x \ y,y,a(z,u,w) \ K(v5,v6)) = (x / y) \ L(x / y,y,a(z,u,w)).
a(x \ y,y,a(z,u,w) \ K(v5,v6)) = (y \ x) \ L(y \ x,y,a(z,u,w)).
a(x \ y,y,a(z,u,w) \ 1) = (y \ x) \ L(y \ x,y,a(z,u,w)).
(x \ y) \ L(x \ y,x,a(z,u,w)) = a(y \ x,x,a(z,u,w) \ 1).
(x \ y) \ L(x \ y,x,a(z,u,w)) = a(a(z,u,w),x,y \ x).
x * (y * a(x,a(z,u,x),y)) = (x * a(z,u,x)) * (a(z,u,x) \ y).
(x * a(y,z,x)) * (a(y,z,x) \ u) = x * (u * a(x,a(y,z,x),u)).
(x * a(y,z,x)) * (a(y,z,x) \ u) = x * L(u,x,a(x,z,y)).
L(x * y,x,a(x,z,u)) = (x * a(u,z,x)) * (a(u,z,x) \ y).
(x * a(y,z,x)) * (a(y,z,x) \ u) = L(x * u,x,a(x,z,y)).
(a(x,y,z) * a(y,x,a(x,y,z))) * (a(x,x,a(y,y,z)) \ u) = L(a(x,y,z) * u,a(x,y,z),a(a(x,y,z),x,y)).
a(x \ 1,y,z) * L(u,a(z,y,x),a(z,y,x)) = (1 / a(x \ 1,y,z)) \ u.
a(x \ 1,y,z) * L(u,a(z,y,x),a(z,y,x)) = (a(x \ 1,y,z) \ 1) \ u.
a(x \ 1,y,z) * L(u,a(z,y,x),a(z,y,x)) = a(x,y,z) \ u.
a(x,y,z) \ u = L(u,a(z,y,x),a(z,y,x)) * a(x \ 1,y,z).
L(x,a(y,z,u),a(y,z,u)) * a(u \ 1,z,y) = a(u,z,y) \ x.
(x * y) \ ((x \ (x * (y / (x * y)))) \ 1) = L(y \ 1,x * y,(x \ 1) \ 1).
(x * y) \ ((y / (x * y)) \ 1) = L(y \ 1,x * y,(x \ 1) \ 1).
L(x \ 1,y * x,(y \ 1) \ 1) = (y * x) \ ((x / (y * x)) \ 1).
L(x \ 1,y * x,(y \ 1) \ 1) = ((1 / y) \ x) \ y.
((1 / x) \ y) \ x = L(y \ 1,x * y,x).
L(x \ 1,y * x,y) = ((1 / y) \ x) \ y.
((1 / x) \ y) \ x = L(y \ 1,y * x,x).
L(x \ 1,x * y,y) = ((1 / y) \ x) \ y.
a(L(x,y,z),L(x,u,w) \ x,v5) = R(x,y,z) \ R(R(x,y,z),L(x,u,w) \ x,v5).
R(x,y,z) \ R(R(x,y,z),L(x,u,w) \ x,v5) = a(L(x,y,z),L(x,u,w) \ x,v5).
R(x,y,z) \ L(R(x,y,z),L(x,u,w) \ x,v5) = a(L(x,y,z),L(x,u,w) \ x,v5).
a(L(x,y,z),L(x,u,w) \ x,v5) = R(x \ L(x,L(x,u,w) \ x,v5),y,z).
R(x \ L(x,L(x,y,z) \ x,u),w,v5) = a(L(x,w,v5),L(x,y,z) \ x,u).
R(a(a(x,y,y),z,u),w,v5) = a(L(y,w,v5),L(y,z,u) \ y,x).
a(L(x,y,z),L(x,u,w) \ x,v5) = R(a(a(v5,x,x),u,w),y,z).
a(a(x,y,L(y,z,u)),w,v5) = a(L(y,z,u),L(y,w,v5) \ y,x).
a(L(x,y,z),L(x,u,w) \ x,v5) = a(a(v5,x,L(x,y,z)),u,w).
a(a(x \ y,x,L(x,z,u)),z,u) \ y = L(x,z,u) * ((L(x,z,u) \ x) * (x \ y)).
a(x,y,a(z,z,z \ u)) \ u = L(z,y,x) * ((L(z,y,x) \ z) * (z \ u)).
a(x,y,a(z,z,u)) \ u = L(z,y,x) * ((L(z,y,x) \ z) * (z \ u)).
L(x,y,z) * ((L(x,y,z) \ x) * (x \ u)) = a(z,y,a(u,x,x)) * u.
a(x,y,a(z,u,u)) * z = L(z,L(u,y,x),L(u,y,x) \ u).
L(x,L(y,z,u),L(y,z,u) \ y) = a(u,z,a(x,y,y)) * x.
L(x,L(y,z,u),L(y,z,u) \ y) = a(a(y,y,x),z,u) * x.
x * L(y,L(z,u,w),L(z,u,w) \ z) = x * (y * a(a(z,z,y),u,w)).
x * (y * a(a(x,x,y),z,u)) = (x / L(x,z,u)) * (L(x,z,u) * y).
(x / L(x,y,z)) * (L(x,y,z) * u) = x * (u * a(a(x,x,u),y,z)).
(L(x,y,z) \ x) * (L(x,y,z) * u) = x * (u * a(a(x,x,u),y,z)).
x * (y * a(a(x,x,y),z,u)) = L(x,z,u) * ((L(x,z,u) \ x) * y).
L(x,y,z) * ((L(x,y,z) \ x) * u) = x * (u * a(a(x,x,u),y,z)).
(x \ L(x,y,z)) \ u = (L(x,y,z) \ x) * u.
(x \ L(x,y,z)) \ u = u * (L(x,y,z) \ x).
x \ ((L(y,x,z) \ y) * x) = a(z,x,L(y,y,x \ 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 != y * (L(z,u,w) \ z) | (z \ L(z,u,w)) * x = y.
x * (L(y,z,u) \ y) != w | (y \ L(y,z,u)) * w = x.
x = L(x,y \ L(y,z,u),L(y,z,u) \ y).
L(x,y \ L(y,z,u),L(y,z,u) \ y) = x.
L(x,L(y,z,u) \ y,y \ L(y,z,u)) = x.
a(x \ L(x,y,z),L(x,y,z) \ x,u) = 1.
R(L(x,y,z) \ x,u,w) \ v5 = (R(x,u,w) \ L(R(x,u,w),y,z)) * v5.
(R(x,y,z) \ L(R(x,y,z),u,w)) * v5 = R(L(x,u,w) \ x,y,z) \ v5.
(L(x,y,z) \ x) \ u = ((L(x,y,z) \ x) \ 1) * u.
((L(x,y,z) \ x) \ 1) * u = (L(x,y,z) \ x) \ u.
(L(x,y,z) \ L(L(x,u,w),y,z)) \ v5 = (L(L(x,u,w),y,z) \ L(L(L(x,u,w),y,z),u,w \ 1)) * v5.
(L(L(x,y,z),u,w) \ L(L(L(x,y,z),u,w),y,z \ 1)) * v5 = (L(x,u,w) \ L(L(x,y,z),u,w)) \ v5.
((L(x,y,z * z) \ x) \ 1) * u = a(z * z,y,x) \ u.
T(L(x,y,z) \ x,y) = a(z,y,L(x,x,y \ 1)).
a(x,y,L(z,z,y \ 1)) = T(L(z,y,x) \ z,y).
a(x,y,L(z,z,y \ 1)) = L(z,y,x) \ z.
(a(x * x,y,z) \ 1) * u = a(x * x,y,z) \ u.
a((x * x) \ 1,y,z) * u = a(x * x,y,z) \ u.
a(x \ (x \ 1),y,z) * u = a(x * x,y,z) \ u.
L(L(x,y,y),y,y) = a(y * y,y,x) \ x.
a(x * x,x,y) \ R(R(x,x,y),x,y) = x.
L(L(x,y,y),y,y) = L(x,y,y * y).
a(L(x,y,y * y) * (y * y),z,u) = a(y * (y * L(x,y,y)),z,u).
L(T(x,x \ 1) \ y,x,x) = L((x \ 1) * y,x,x * x).
a(L(x,y,y * y),z,u) = a(x * a(x * x,y,y),z,u).
L(x,L(y,z,z * z),u) = L(x,y * a(y * y,z,z),u).
a(x,y,L(z,u,u * u)) = a(x,y,a(z * z,u,u) * z).
L(((x \ 1) \ 1) \ y,x,x) = L((x \ 1) * y,x,x * x).
L(x,y,L((z \ 1) * u,z,z * z)) = L(x,y,L(z \ u,z,z)).
L(x,L(((y \ 1) \ 1) \ z,y,y),u) = L(x,L(z * (y \ 1),y,y * y),u).
a(L((x * x) * y,x,x * x),z,u) = a(x * (x * L(y,x,x)),z,u).
a(L((x * x) * y,x,x * x),z,u) = a(x * ((1 / x) \ y),z,u).
a(L((x * x) * y,x,x * x),z,u) = a(x * ((x \ 1) \ y),z,u).
R(x \ L(x,y,z),u,w) * v5 = R(L(x,y,z) \ x,u,w) \ v5.
R(L(x,y,z) \ x,u,w) \ v5 = R(x \ L(x,y,z),u,w) * v5.
L(L(x,y,z) \ x,u,w) \ v5 = R(x \ L(x,y,z),u,w) * v5.
L(L(x,y,z) \ x,u,w) \ v5 = L(x \ L(x,y,z),u,w) * v5.
x / L(L(y,z,u) \ y,w,v5) = L(y \ L(y,z,u),w,v5) * x.
(L(x \ L(x,y,z),u,w) * v5) \ v5 = L(L(x,y,z) \ x,u,w).
x \ (y * (L(y,z,u) \ x)) = L(L(y,z,u) \ y,y,x).
L(L(x,y,z) \ x,x,u) = u \ (x * (L(x,y,z) \ u)).
x * L(L(y,z,u) \ y,y,x) = y * (L(y,z,u) \ x).
(x \ y) * L(L(x,z,u) \ x,x,y) = L(x,z,u) \ y.
x * (L(x,y,z) \ u) = (u / x) * L(x,y,z \ 1).
(x / y) * L(y,z,u \ 1) = y * (L(y,z,u) \ x).
x * L(y,z,u \ 1) = y * (L(y,z,u) \ (x * y)).
x * (L(x,y,z) \ (u * x)) = u * L(x,y,z \ 1).
L(x,y,z \ 1) * (x \ u) = x * (L(x,y,z) \ u).
(x / y) * L(y,z,a(u,w,v5)) = y * (L(y,z,a(v5,w,u)) \ x).
x * x = L(x,y,z) * L(x,y,z \ 1).
L(x,y,z) * L(x,y,z \ 1) = x * x.
x * T(L(x,y,z) \ u,x) = (x \ u) * L(x,y,z \ 1).
(x \ y) * L(x,z,u \ 1) = x * T(L(x,z,u) \ y,x).
L(a(x,y,y),z,u) * L(a(x,y,y),z,u \ 1) = a(x * x,y,y).
L(x,y,a(z,u,w)) * (x \ v5) = x * (L(x,y,a(w,u,z)) \ v5).
(x \ L(x,y,z)) * L(L(a(z,y,x),u,w) \ a(z,y,x),a(z,y,x),a(y,y,a(z,x,x))) = L(a(z,y,x),u,w) \ a(y,y,a(z,x,x)).
(x \ y) * L(x,z,u \ 1) = (L(x,z,u) \ y) * x.
(x \ (y * (L(y,z,a(u,w,v5)) \ x))) \ (y \ x) = L(y,z,a(v5,w,u)) \ x.
a(x,y,L(y,z,u)) * L(a(x,y,y),z,u \ 1) = a(x * x,y,y).
a(x,y,L(y,z,u)) * a(x,y,L(y,z,u \ 1)) = a(x * x,y,y).
L(x,L(y * (z \ 1),z,z * z),u) = L(x,L(z \ y,z,z),u).
L(a(x \ 1,y,z),a(x,y,z),L(x,x,a(z,y,y))) = L(x,x,a(z,y,y)) / R(x,y,z).
L(x,x,a(y,z,z)) / R(x,z,y) = a(x \ 1,z,y).
a(x \ 1,y,z) = R(x,y,z) \ L(x,x,a(z,y,y)).
R(x,y,z) \ L(x,x,a(z,y,y)) = a(x \ 1,y,z).
R(R(1 / x,y,z),x,u) \ L(u / (x * u),u / (x * u),a(z,y,y)) = a((u / (x * u)) \ 1,y,z).
L(L(x,y,z),L(x,y,z),L(u,w,v5)) \ L(x,y,z) = a(u,L(L(x,w,v5),y,z),L(x,y,z)).
a(a(x,y,y),z,u) * (L(a(u,z,x),x,z) \ x) = R(L(a(u,z,x),x,z),y,y) \ x.
a(a(x,y,y),z,u) * L(x,z,u) = R(L(a(u,z,x),x,z),y,y) \ x.
R(L(a(x,y,z),z,y),u,u) \ z = a(a(z,u,u),y,x) * L(z,y,x).
R(L(x,y,z) \ x,u,u) \ x = a(a(x,u,u),y,z) * L(x,y,z).
L(L(x,y,z) \ x,u,u) \ x = a(a(x,u,u),y,z) * L(x,y,z).
a(a(x,y,y),z,u) * L(x,z,u) = x * L(x \ L(x,z,u),y,y).
a((R(x,y,z) \ x) * (R(x,y,z) \ x),u,w) = L(w,u,a(z,y,x * x)) \ w.
a((R(x,y,z) \ x) * (R(x,y,z) \ x),u,w) = w \ L(w,u,a(x * x,y,z)).
a(R(x * x,y,z) \ (x * x),u,w) = w \ L(w,u,a(x * x,y,z)).
a(L(x * x,y,z) \ (x * x),u,w) = w \ L(w,u,a(x * x,y,z)).
a(a(x,y,z * z),u,w) = w \ L(w,u,a(z * z,y,x)).
x \ L(x,y,a(z * z,u,w)) = a(a(w,u,z * z),y,x).
R(L(x,y,z) \ x,u,L(z,u,L(x,y,z) \ x)) = L(x,y,z) \ x.
R(L(x,y,z) \ x,u,z) = L(x,y,z) \ x.
L(L(x,y,z) \ x,u,z) = L(x,y,z) \ x.
L(a(x,y,z),L(z,y,x),y) = L(z,y,x) \ z.
(L(x,y,z) \ x) \ L(x,y,z) = L(L(x,y,z),y,z).
L(L(L(x,y,z),y,z),L(x,y,z) \ x,L(x,y,z) \ x) = ((L(x,y,z) \ x) * (x / L(x,y,z))) \ x.
L(L(x,y,z),y,z) = L(x,y,z) * (x \ L(x,y,z)).
L(x,y,z) * (x \ L(x,y,z)) = L(L(x,y,z),y,z).
x * L(L(x,y,z),y,z) = L(x,y,z) * L(x,y,z).
L(x,y,z) * L(x,y,z) = x * L(L(x,y,z),y,z).
a((T(x,y) \ z) * L(T(x,y),z,u \ 1),w,v5) = a(x \ (u \ ((u * z) * x)),w,v5).
a(x \ (y \ ((y * z) * x)),u,w) = a((T(x,v5) \ z) * L(T(x,v5),z,y \ 1),u,w).
a(x \ (y \ ((y * z) * x)),u,w) = a((L(T(x,v5),z,y) \ z) * T(x,v5),u,w).
a(x \ (y \ ((y * z) * x)),u,w) = a((L(T(x,v5),z,y) \ z) * x,u,w).
a(x \ (y \ ((y * z) * x)),u,w) = a(x * (L(x,z,y) \ z),u,w).
a(x \ (y \ ((y * z) * x)),u,w) = a(a(y,z,x) * z,u,w).
a(x,L(L(y,z,u),w,v5),L(y,w,v5)) = a(L(x,z,u),L(y,w,v5),L(y,w,v5)).
a(L(x,y,z),L(u,w,v5),L(u,w,v5)) = a(x,L(L(u,y,z),w,v5),L(u,w,v5)).
(L(x,y,a(y,z,z)) / u) * L(u,y,a(y,z,z)) = u \ R(u * x,y \ 1,a(z,z,y)).
x \ R(x * y,z \ 1,a(u,u,z)) = x * (L(x,z,a(z,u,u)) \ L(y,z,a(z,u,u))).
x * (L(x,y,a(y,z,z)) \ L(u,y,a(y,z,z))) = x \ R(x * u,y \ 1,a(z,z,y)).
x * L(x \ y,z,a(z,u,u)) = x \ R(x * y,z \ 1,a(u,u,z)).
x \ R(x * y,z \ 1,a(u,u,z)) = x * L(x \ y,z,a(z,u,u)).
x \ L(x * y,z,a(z,u,u)) = x * L(x \ y,z,a(z,u,u)).
L((x * (y / x)) \ (z * L(z \ (x * (y / x)),u,a(u,w,w))),y,z) = a(u,a(w,w,u),z * (x * (y / x))).
a(L(R(x \ 1,y,z),R(x,y,z),y * z),y * z,z \ 1) = R(x,z,z \ 1) \ R(x,y,z).
a(L(R(x \ 1,y,z),L(x,y,z),y * z),y * z,z \ 1) = R(x,z,z \ 1) \ R(x,y,z).
a(L(L(x \ 1,y,z),L(x,y,z),y * z),y * z,z \ 1) = R(x,z,z \ 1) \ R(x,y,z).
R(x,y,y \ 1) \ R(x,z,y) = L(R(x,z * y,y \ 1) \ x,z,y).
L(R(x,y * z,z \ 1) \ x,y,z) = R(x,z,z \ 1) \ R(x,y,z).
R(x,y,y \ 1) \ R(x,z,y) = R(x,z * y,y \ 1) \ x.
a(x * (L(x,y,y \ 1) \ R(x,z,y)),u,w) = a(x * (R(x,z * y,y \ 1) \ x),u,w).
a(x * (L(x,y * z,z \ 1) \ x),u,w) = a(x * (L(x,z,z \ 1) \ R(x,y,z)),u,w).
a(x * (L(x,y,y \ 1) \ R(x,z,y)),u,w) = a(x * (L(x,z * y,y \ 1) \ x),u,w).
a(x * (L(x,y,y \ 1) \ R(x,z,y)),u,w) = a(x * (x \ L(x,z * y,y)),u,w).
a(x * (L(x,y,y \ 1) \ R(x,z,y)),u,w) = a(L(x,z * y,y),u,w).
a(x,y,L(z,u,w)) \ a(y,y,a(x,R(z,u,w),R(z,u,w))) = R(z,u,w) \ R(L(z,y,x),u,w).
R(x \ (y \ x),z,x) \ R(R(x \ (y \ x),z,x),x,u) = a(((R(y,z,x) \ x) \ x) \ 1,x,u).
a(x,y,L(z,u,w)) \ a(y,y,a(x,R(z,u,w),L(z,u,w))) = R(z,u,w) \ R(L(z,y,x),u,w).
a(((R(x,y,z) \ z) \ z) \ 1,z,u) = R((z \ (x \ z)) \ R(z \ (x \ z),z,u),y,z).
R((x \ (y \ x)) \ R(x \ (y \ x),x,z),u,x) = a(((R(y,u,x) \ x) \ x) \ 1,x,z).
R(a(((x \ y) \ y) \ 1,y,z),u,y) = a(((R(x,u,y) \ y) \ y) \ 1,y,z).
a(((R(x,y,z) \ z) \ z) \ 1,z,u) = R(a(((x \ z) \ z) \ 1,z,u),y,z).
a(((R(x,y,z) \ z) \ z) \ 1,z,u) = R(a(x \ 1,z,u),y,z).
L(a(x \ 1,y,z),u,y) = a(((R(x,u,y) \ y) \ y) \ 1,y,z).
a(((R(x,y,z) \ z) \ z) \ 1,z,u) = L(a(x \ 1,z,u),y,z).
a(R((x \ y) \ y,z,y) \ 1,y,u) = L(a(x \ 1,y,u),z,y).
a(R(((x \ y) \ y) \ 1,z,y),y,u) = L(a(x \ 1,y,u),z,y).
a(L(((x \ y) \ y) \ 1,z,y),y,u) = L(a(x \ 1,y,u),z,y).
L(a(x \ 1,y,z),u,y) = a(L(x \ 1,u,y),y,z).
a(L(x \ 1,y,z),z,u) = L(a(x \ 1,z,u),y,z).
a(x,y,L(z,u,w)) \ a(y,y,a(x,L(z,u,w),L(z,u,w))) = R(z,u,w) \ R(L(z,y,x),u,w).
L(L(x,y,z),a(x,u,w),v5) \ L(x,y,z) = a(v5,L(x,y,z),a(x,u,w)).
a(x,L(y,z,u),a(y,w,v5)) = L(L(y,a(y,w,v5),x) \ y,z,u).
L(L(x,a(x,y,z),u) \ x,w,v5) = a(u,L(x,w,v5),a(x,y,z)).
L(a(x,y,a(y,z,u)),w,v5) = a(x,L(y,w,v5),a(y,z,u)).
a(x,L(y,z,u),a(y,w,v5)) = L(a(x,y,a(y,w,v5)),z,u).
L(a(x,y,a(y,z,u)) / w,y,a(x,y,a(y,z,u))) \ a(x,L(y,y,w),a(y,z,u)) = w.
a(L(x,y,z),u,a(u,w,v5)) = a(x,L(u,y,z),a(u,w,v5)).
a(x,L(y,y,z),a(y,u,w)) = a(x,y,a(y,u,w)).
a(x \ 1,L(y,z,u),a(y,w,v5)) = a(y,a(y,w,v5),L(x,z,u)).
a(x,a(x,y,z),L(u,w,v5)) = a(a(x,y,z),L(x,w,v5),u).
a(a(x,y,z),L(x,u,w),v5) = a(x,a(x,y,z),L(v5,u,w)).
a(L(x,y,z),a(x,u,w),v5) = a(x,a(x,u,w),L(v5,y,z)).
L(a(x,y,a(y,z,u)) / w,y,a(x,y,a(y,z,u))) \ a(x,y,a(y,z,u)) = w.
L((a(x,y,a(y,z,u)) / w) \ a(x,y,a(y,z,u)),y,a(x,y,a(y,z,u))) = w.
L(x,y,a(z,y,a(y,u,w))) = x.
L(x,y,a(y,a(z,u,y),w)) = x.
L(x,y,a(y,a(y,z,u),w)) = x.
x * a(y,a(y,a(z,u,y),w),x) = x.
x * (a(y,a(z,u,y),w) * y) = (x * y) * a(y,a(z,u,y),w).
(x * y) * a(y,a(z,u,y),w) = x * (a(y,a(z,u,y),w) * y).
1 = a(x,a(x,a(y,z,x),u),w).
a(x,a(x,a(y,z,x),u),w) = 1.
1 = a(x,y,a(z,y,a(u,w,y))).
a(x,y,a(z,y,a(u,w,y))) = 1.
L(a(x,y,a(z,u,y)),y,w) = a(x,y,a(z,u,y)).
a(x,a(y,z,u),a(w,u,u)) = 1.
1 = a(x,a(y,z,u),a(u,u,w)).
a(x,a(y,z,u),a(u,u,w)) = 1.
a(x,a(y,z,u),a(w,u,a(v5,w,u))) = 1.
x * 1 = L(x,a(y,z,u),a(z,z,a(y,u,u))).
L(x,a(y,z,u),a(z,z,a(y,u,u))) = x * 1.
x = L(x,a(y,z,u),a(z,z,a(y,u,u))).
L(x,a(y,z,u),a(z,z,a(y,u,u))) = x.
a(x,a(x,y,z),L(u,x,w)) = a(u,x,a(z,y,x)).
(x * y) * a(y,a(z,u,y),w) = x * L(y,a(z,u,y),w).
a(x \ 1,y,z) * (L(u,u \ w,a(x,y,z)) \ w) = u \ (w * T(a(x \ 1,y,z),u \ w)).
L(x \ L(x,y,a(z,u,y) \ y),x,((y \ 1) * (a(z,u,y) * y)) \ 1) = a(y \ a(z,u,y),y,x).
(a(x,y,L(z,u,u)) \ y) \ (y * L(R(z,u,u),y,x)) = R(z,L(u,y,x),L(u,y,x)).
R(x,L(y,z,u),L(y,z,u)) = R(x,y,y).
R(x,a(y,z,u),L(y \ R(y,z,u),y,z * u)) = R(x,y \ R(y,z,u),y \ R(y,z,u)).
x * a(x,y,y) = R(x,L(y,z,u),L(y,z,u)).
R(x,L(y,z,u),L(y,z,u)) = x * a(x,y,y).
R(x,a(y,z,u),L(L(u,z,y) \ u,u,z * y)) = R(x,L(u,z,y) \ u,L(u,z,y) \ u).
a(x,L(y,z,u),L(y,z,u)) = a(x,y,y).
L(L(x,y,z) * a(u,x,x),L(x,y,z),u) = L(x,y,z).
a(L(x,y,z),u,u) = a(x,L(L(u,y,z),w,v5),L(u,w,v5)).
a(x,L(L(y,z,u),w,v5),L(y,w,v5)) = a(L(x,z,u),y,y).
a(x,y,L(z,u,w)) * a(y,y,a(x,z,z)) = R(L(z,y,x),u,w) \ R(z,u,w).
R(L(x,y,z),u,w) \ R(x,u,w) = a(z,y,L(x,u,w)) * a(y,y,a(z,x,x)).
a(x,y,L(z,u,w)) \ a(y,y,a(x,z,z)) = R(z,u,w) \ R(L(z,y,x),u,w).
R(x,y,z) \ R(L(x,u,w),y,z) = a(w,u,L(x,y,z)) \ a(u,u,a(w,x,x)).
a(x,L(L(y,z,u),w,v5),L(y,w,v5)) = a(x,y,L(y,z,u)).
a(x,y,L(y,z,u \ 1)) = a(x,y,L(y,z,u)).
a(x,y,y) * a(a(y,y,x),z,u) = a(x,y,L(y,z,u)).
a(x,y,L(y,z,u)) * a(x,y,L(y,z,u)) = a(x * x,y,y).
a(x,y,y) * z != a(x,y,L(y,u,w)) | z = a(w,u,a(y,y,x)).
a(a(x,x,y),z,u) = a(u,z,a(x,x,y)).
a(x,y,y) * z != a(x,y,L(y,u,w)) | z = a(a(x,y,y),u,w).
a(a(x,x,y),z,u) = a(a(y,x,x),z,u).
a(a(x,y,y),z,u) = a(a(y,y,x),z,u).
a(x,y,a(z,z,u)) * a(z,z,u) = a(z,z,L(u,y,x)).
a(x,y,a(z,z,u)) = a(x,y,a(u,z,z)).
a(x,y,a(z,u,u)) = a(x,y,a(u,u,z)).
a(x,y,a(z,z,L(u,w,v5))) = a(x,y,a(u,z,L(z,w,v5))).
a(x,y,a(z,u,L(u,w,v5))) = a(x,y,a(u,u,L(z,w,v5))).
a(a(x,y,y),z,u) = a(u,z,a(x,y,y)).
a(x,y,a(z,u,u)) * (L(u,y,x) \ u) = L(L(u,y,x) \ u,u,z).
a(x,x,L(y,z,u)) = a(x,x,L(y,z,u \ 1)).
a(x,x,L(y,z,u \ 1)) = a(x,x,L(y,z,u)).
a(x,x,L(y,z,u)) \ y = L(y,x,L(x,z,u \ 1)).
L(x,y,L(y,z,u \ 1)) = a(y,y,L(x,z,u)) \ x.
a(x,x,y) = a(x,x,L(L(y,z,u),z,u)).
a(x,x,L(L(y,z,u),z,u)) = a(x,x,y).
a(L(x,y,z),L(x,y,z),u) = a(x,x,u).
a(x,x,y) \ y = L(y,L(x,z,u),L(x,z,u)).
L(x,L(y,z,u),L(y,z,u)) = a(y,y,x) \ x.
a(x \ 1,x \ 1,y) * y = L(y,L(x \ 1,z,u),L(x,z,u)).
L(x,L(y \ 1,z,u),L(y,z,u)) = a(y \ 1,y \ 1,x) * x.
a(x,x,y) = a(R(x,z,u),L(x,z,u),y).
a(R(x,y,z),L(x,y,z),u) = a(x,x,u).
a(x,x,y) = a(R(x,z,u),R(x,z,u),y).
a(R(x,y,z),R(x,y,z),u) = a(x,x,u).
L(x,L(y,z,u),L(y,z,u)) = L(x,y,y).
L(x,y,z) * L(u,x,x) = (1 / L(x,y,z)) \ u.
a(L(x,y,y) * L(y,z,u),w,v5) = a((L(y,z,u) \ 1) \ x,w,v5).
R(x,y,z) * L(u,x,x) = R(1 / x,y,z) \ u.
L(x * R(1 / y,z,u),y,y) = R(y,z,u) \ T(x,y \ 1).
(1 / L(a(x,y,z),u,w)) \ v5 = L(v5,a(x,y,z),a(x,y,z)) * L(a(x,y,z),u,w).
L(x,a(y,z,u),a(y,z,u)) * L(a(y,z,u),w,v5) = (1 / L(a(y,z,u),w,v5)) \ x.
a(R(1 / x,y,z) \ u,w,v5) = a(L(u,x,x) * R(x,y,z),w,v5).
a(L(x,y,y) * R(y,z,u),w,v5) = a(R(1 / y,z,u) \ x,w,v5).
a(R(x,y,z) * L(a(u,R(1 / x,y,z),R(1 / x,y,z)),x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
L(x,y,L(y,z,u \ 1)) = L(x,y,L(y,z,u)).
L(x,y,L(y,z,(u \ 1) * w)) = L(x,y,L(y,z,u * (w \ 1))).
a(a(x,y,L(y,z,u)),w,v5) = a(v5,w,a(x,y,L(y,z,u))).
a(x * x,y,y) = a(x * x,y,L(y,z,u)).
a(x * x,y,L(y,z,u)) = a(x * x,y,y).
(x * y) * a(z * z,u,u) = x * (y * a(z * z,u,u)).
x \ (y * a(z * z,u,u)) = (x \ y) * a(z * z,u,u).
L(a(x * x,y,y) \ ((z * u) \ w),a(x * x,y,y),z * u) = (z * (u * a(x * x,y,y))) \ w.
(x * y) * a(z * z,u,u) = x * (a(z * z,u,u) * y).
a(x,y * a(z * z,u,u),w) = ((x * ((y * a(z * z,u,u)) * w)) / w) \ ((x * y) * a(z * z,u,u)).
((x * ((y * a(z * z,u,u)) * w)) / w) \ ((x * y) * a(z * z,u,u)) = a(x,y * a(z * z,u,u),w).
x \ y = (x \ (a(z * z,u,u) \ y)) * a(z * z,u,u).
(x \ (a(y * y,z,z) \ u)) * a(y * y,z,z) = x \ u.
x \ (y * (z * a(u * u,w,w))) = (x \ (y * z)) * a(u * u,w,w).
L(x,y,a(z * z,u,u)) = x.
a(x * x,y,y) * (z * u) = z * (a(x * x,y,y) * u).
(a(x * x,y,y) * z) \ u = z \ (a(x * x,y,y) \ u).
a(a(x * x,y,y),z,u) = 1.
x = (a(y * y,z,z) * (u / x)) \ (a(y * y,z,z) * u).
(a(x * x,y,y) * (z / u)) \ (a(x * x,y,y) * z) = u.
(a(x * x,y,y) * z) / u = a(x * x,y,y) * (z / u).
(a(x * x,y,y) \ z) / u = z / (u * a(x * x,y,y)).
x \ (a(y * y,z,z) * u) = T(a(y * y,z,z) * (u / x),x).
T(a(x * x,y,y) * (z / u),u) = u \ (a(x * x,y,y) * z).
x / y = a(z * z,u,u) * ((a(z * z,u,u) \ x) / y).
a(x * x,y,y) * ((a(x * x,y,y) \ z) / u) = z / u.
x \ (a(y,z,z) \ u) = (a(y * y,z,z) * x) \ (a(y,z,z) * u).
(a(x * x,y,y) * z) \ (a(x,y,y) * u) = z \ (a(x,y,y) \ u).
x = L(x,y,a(z,u,u * u)).
L(x,y,a(z,u,u * u)) = x.
1 = a(x,x,a(y,z,u * u)).
a(x,x,a(y,z,u * u)) = 1.
1 = a(a(x,y,y * y),z,u).
a(a(x,y,y * y),z,u) = 1.
(a(x,y,y * y) * z) \ ((z * u) * a(x,y,y * y)) = u.
a(x * x,x,y) * (z * u) = (a(x * x,x,y) * z) * u.
(a(x * x,x,y) * z) * u = a(x * x,x,y) * (z * u).
1 = a(a(x,y,y),z,u * u).
a(a(x,y,y),z,u * u) = 1.
1 = a(x,y,a(z,u,u * u)).
a(x,y,a(z,u,u * u)) = 1.
1 = a(a(x * x,x,y),z,u).
a(a(x * x,x,y),z,u) = 1.
L(x,y,y \ L(y,z,u * u)) = 1 * x.
L(a(x,y,y * y),z,u) = a(x,y,y * y).
L(R(a(x * x,x,y),z,u),a(x * x,x,y),a(u,z,z)) = a(x * x,x,y) * 1.
x = L(x,y,y \ L(y,z,u * u)).
L(x,y,y \ L(y,z,u * u)) = x.
x = L(x,y,a(y,z,u * u)).
L(x,y,a(y,z,u * u)) = x.
(x * y) * a(z,u,u * u) = x * (y * a(z,u,u * u)).
(x * (a(y * y,z,z) * u)) / w = a(y * y,z,z) * ((x * u) / w).
a(x * x,y,y) * (z / (u * a(x * x,y,y))) = z / u.
(x * a(y * y,y,z)) * u = a(y * y,y,z) * (x * u).
(a(x,y,y * y) * z) \ (z * (u * a(x,y,y * y))) = u.
a(x * x,y,y) * (z / (a(x * x,y,y) * u)) = z / u.
x = L(x,a(y,z,z * z),u).
L(x,a(y,z,z * z),u) = x.
x = L(x,a(y * y,y,z),u).
L(x,a(y * y,y,z),u) = x.
L(x * R(1 / L(y \ z,u,w),v5,v6),L(y \ z,u,w),L(y \ z,u,w)) = R(L(y \ z,u,w),v5,v6) \ T(x,L(z \ y,v7,v8) * 1).
L(x,L(y \ 1,z,u),L(y,z,u)) = L(x,y \ 1,1 \ y).
L(x,L(y \ 1,z,u),L(y,z,u)) = L(x,y \ 1,y).
x \ (a(y * y,z,z) * u) = a(y * y,z,z) * (x \ u).
a(x * x,y,y) * ((a(x * x,y,y) * (z / u)) \ z) = u.
a(x * x,y,y) * ((z * a(x * x,y,y)) \ (z * u)) = u.
x = L(x,a(y * y,z,z),u).
L(x,a(y * y,z,z),u) = x.
(x * a(y * y,z,z)) * u = x * (a(y * y,z,z) * u).
(x * (y * a(z * z,u,u))) * w = (x * y) * (a(z * z,u,u) * w).
a(x * x,y,y) * (z * u) = (z * a(x * x,y,y)) * u.
(x * a(y * y,z,z)) * u = a(y * y,z,z) * (x * u).
a(x,y,L(y,z,u) \ y) * (L(y,z,u) \ y) = L(L(y,z,u) \ y,y,x).
a(L(1 / x,y,z) \ u,w,v5) = a(L(u,x,x) * R(x,y,z),w,v5).
a(L(x,y,y) * R(y,z,u),w,v5) = a(L(1 / y,z,u) \ x,w,v5).
a(L(x,y,y) * R(y,z,u),w,v5) = a(L(y \ 1,z,u) \ x,w,v5).
a(L(x,y,y) * L(y,z,u),w,v5) = a(L(y \ 1,z,u) \ x,w,v5).
a(L(x \ 1,y,z) \ u,w,v5) = a((L(x,y,z) \ 1) \ u,w,v5).
a(x,y,z * a(u * u,w,w)) = (y * (z * a(u * u,w,w))) \ ((x \ ((x * y) * z)) * a(u * u,w,w)).
(x * (y * a(z * z,u,u))) \ ((w \ ((w * x) * y)) * a(z * z,u,u)) = a(w,x,y * a(z * z,u,u)).
a(x * a(y * y,z,z),u,w) = ((u * x) * (a(y * y,z,z) * w)) / ((x * a(y * y,z,z)) * (T(u,x * a(y * y,z,z)) * w)).
((x * y) * (a(z * z,u,u) * w)) / ((y * a(z * z,u,u)) * (T(x,y * a(z * z,u,u)) * w)) = a(y * a(z * z,u,u),x,w).
L(L(x,y,z) \ x,x,u \ 1) = L(L(x,y,z) \ x,x,u).
a(x,y,L(z,u,w)) * a(y,y,a(x,z,z)) = R(L(z,y,x) \ z,u,w).
L(L(x,y,z) \ x,u,w) = a(z,y,L(x,u,w)) * a(y,y,a(z,x,x)).
a(x,y,L(z,u,w)) * a(y,y,a(x,z,z)) = L(L(z,y,x) \ z,u,w).
L(L(x,y,z) \ x,u,w) = a(y,y,a(z,x,x)) * a(z,y,L(x,u,w)).
a(x,x,a(y,z,z)) * a(y,x,L(z,u,w)) = L(L(z,x,y) \ z,u,w).
a(x,y,L(z,u,w)) * a(x,z,a(z,y,y)) = L(L(z,y,x) \ z,u,w).
a(x,y,a(y,z,z)) * a(x,y,L(z,u,w)) = L(L(z,y,x) \ z,u,w).
a(x,y,a(z,u,u)) * w != L(L(u,y,x) \ u,u,z) | w = L(u,y,x) \ u.
a(x,y,L(z,z,y)) = L(z,y,x) \ z.
L(x \ y,x,z) \ (x \ y) = a(z,x,(y \ x) \ 1).
((x * y) \ (x * z)) \ (y \ z) = a(x,y,(z \ y) \ 1).
L(R(x \ (y \ x),z,x),x,u) \ (x \ (R(y,z,x) \ x)) = a(u,x,((R(y,z,x) \ x) \ x) \ 1).
a(x,y,L(z,u,w)) \ a(y,y,a(x,z,z)) = R(z \ L(z,y,x),u,w).
L(x \ L(x,y,z),u,w) = a(z,y,L(x,u,w)) \ a(y,y,a(z,x,x)).
a(x,y,L(z,u,w)) \ a(y,y,a(x,z,z)) = L(z \ L(z,y,x),u,w).
L(L(a(x * x,x,y),z,u),a(x * x,x,y),a(u,z,z)) = a(x * x,x,y) * 1.
L(a(x * x,x,L(y,z,u)),a(x * x,x,y),a(u,z,z)) = a(x * x,x,y) * 1.
a(x * x,x,y) * 1 = a(x * x,x,L(y,z,u)).
a(x * x,x,L(y,z,u)) = a(x * x,x,y) * 1.
a(x * x,x,y) = a(x * x,x,L(y,z,u)).
a(x * x,x,L(y,z,u)) = a(x * x,x,y).
L(x,a(y,z,u),a(y,z,u)) * L(a(y,z,u),w,v5) = (L(a(y,z,u),w,v5) \ 1) \ x.
L(x,a(y,z,u),a(y,z,u)) * L(a(y,z,u),w,v5) = L(a(y \ 1,z,u),w,v5) \ x.
R(x,a(y,z,u),a(y,z,u)) = R(x,y \ R(y,z,u),y \ R(y,z,u)).
R(x,y \ R(y,z,u),y \ R(y,z,u)) = R(x,a(y,z,u),a(y,z,u)).
L(x,a(y,z,u),a(y,z,u)) = R(x,y \ R(y,z,u),y \ R(y,z,u)).
R(x,y \ R(y,z,u),y \ R(y,z,u)) = L(x,a(y,z,u),a(y,z,u)).
L(x,y \ R(y,z,u),y \ L(y,z,u)) = L(x,a(y,z,u),a(y,z,u)).
R(x,a(y,z,u),a(y,z,u)) = R(x,L(u,z,y) \ u,L(u,z,y) \ u).
R(x,L(y,z,u) \ y,L(y,z,u) \ y) = R(x,a(u,z,y),a(u,z,y)).
L(x,a(y,z,u),a(y,z,u)) = R(x,L(u,z,y) \ u,L(u,z,y) \ u).
R(x,L(y,z,u) \ y,L(y,z,u) \ y) = L(x,a(u,z,y),a(u,z,y)).
L(x,L(y,z,u) \ y,L(y,z,u) \ y) = L(x,a(u,z,y),a(u,z,y)).
L(R(x \ (y \ x),z,x),x,u) \ R(x \ (y \ x),z,x) = a(u,x,((R(y,z,x) \ x) \ x) \ 1).
a(x,y,((R(z,u,y) \ y) \ y) \ 1) = R(L(y \ (z \ y),y,x) \ (y \ (z \ y)),u,y).
R(L(x \ (y \ x),x,z) \ (x \ (y \ x)),u,x) = a(z,x,((R(y,u,x) \ x) \ x) \ 1).
R(a(x,y,((z \ y) \ y) \ 1),u,y) = a(x,y,((R(z,u,y) \ y) \ y) \ 1).
a(x,y,((R(z,u,y) \ y) \ y) \ 1) = R(a(x,y,((z \ y) \ y) \ 1),u,y).
a(x,y,((R(z,u,y) \ y) \ y) \ 1) = R(a(x,y,z \ 1),u,y).
L(a(x,y,z \ 1),u,y) = a(x,y,((R(z,u,y) \ y) \ y) \ 1).
a(x,y,((R(z,u,y) \ y) \ y) \ 1) = L(a(x,y,z \ 1),u,y).
a(x,y,R((z \ y) \ y,u,y) \ 1) = L(a(x,y,z \ 1),u,y).
a(x,y,R(((z \ y) \ y) \ 1,u,y)) = L(a(x,y,z \ 1),u,y).
a(x,y,L(((z \ y) \ y) \ 1,u,y)) = L(a(x,y,z \ 1),u,y).
L(a(x,y,z \ 1),u,y) = a(x,y,L(z \ 1,u,y)).
a(x,y,L(z \ 1,u,y)) = L(a(x,y,z \ 1),u,y).
a(x,y,L((1 / z) \ 1,u,y)) = L(a(x,y,z),u,y).
a(x,y,L(z,u,y)) = L(a(x,y,z),u,y).
a(x,y,L(z,L(y,u,w),y)) = L(a(x,y,z),y,L(y,u,w)).
a(x,y,L(z,x,y)) = x \ R(x,y,z).
L(a(L(x,x,y),y,z),u,y) = x \ R(x,y,L(z,u,y)).
a(x \ 1,y,L(z,x,y)) = R(x,y,z) \ x.
a(L(x \ 1,y,z),z,u) = a(x \ 1,z,L(u,y,z)).
a(L(x,y,z),z,u) = a((1 / x) \ 1,z,L(u,y,z)).
a((1 / x) \ 1,y,L(z,u,y)) = a(L(x,u,y),y,z).
a(x,y,L(z,u,y)) = a(L(x,u,y),y,z).
a(L(x,y,z),z,u) = a(x,z,L(u,y,z)).
a(L(x,y,y),y,z) = a(x,y,z).
a(L(x,y,z),u,w) = a(L(x,y,z) * a(u,x,x),u,L(w,L(x,y,z),u)).
a(L(x,y,z) * a(u,x,x),u,L(w,L(x,y,z),u)) = a(L(x,y,z),u,w).
a(x,y,z) = a(L(x,y,y \ 1),y,z).
a(L(x,y,y \ 1),y,z) = a(x,y,z).
a(L(x,x,y),y,z) = a(L(x,x * y,y),y,z).
a(L(x,x * y,y),y,z) = a(L(x,x,y),y,z).
a(x,y,z) = a(L(x,y,y \ x),y,z).
a(L(x,y,y \ x),y,z) = a(x,y,z).
a(L((x / y) \ 1,y,L(x \ 1,y,y)),y,z) = a((x / y) \ 1,y,z).
a(L(x,x * y,y),y,z) = x \ R(x,y,z).
a(x,y,a(z,u,L(w \ 1,w * u,u))) = a(x,y,w \ R(w,u,z)).
L(x \ R(x,y,z),u,y) = x \ R(x,y,L(z,u,y)).
a(x,y,L(z,y,L(y,u,w))) = L(a(x,y,z),y,L(y,u,w)).
a(x,y,L(z,y,L(y,u,w))) = a(x,y,z).
a(x,y,a(z,u,((1 / u) \ w) \ u)) = a(x,y,w \ R(w,u,z)).
a(x,y,a(z,u,((u \ 1) \ w) \ u)) = a(x,y,w \ R(w,u,z)).
a(x,y,a(z,u,u \ (w \ u))) = a(x,y,w \ R(w,u,z)).
a(x,y,z \ L(z,u,w)) = a(x,y,a(w,u,u \ (z \ u))).
a(x,y,a(z,u,u \ (w \ u))) = a(x,y,w \ L(w,u,z)).
a(L((x / y) \ 1,y,x \ 1),y,z) = a((x / y) \ 1,y,z).
a((x / y) \ 1,y,z) = a(y * (x \ 1),y,z).
a(x * (y \ 1),x,z) = a((x \ y) \ 1,x,z).
a((x \ y) \ 1,x,z) = a(x * (y \ 1),x,z).
(x * (y * a(z * z,u,u))) \ w = a(z * z,u,u) \ ((x * y) \ w).
R(R(1 / x,y,z),x,u) \ L(u / (x * u),(x * u) \ u,a(z,y,y)) = a((u / (x * u)) \ 1,y,z).
R(R(1 / x,y,z),x,u) \ L(u / (x * u),u \ (x \ u),a(z,y,y)) = a((u / (x * u)) \ 1,y,z).
a((x / (y * x)) \ 1,z,u) = R(R(1 / y,z,u) \ L(1 / y,x \ (y \ x),a(u,z,z)),y,x).
R(R(1 / x,y,z) \ L(1 / x,u \ (x \ u),a(z,y,y)),x,u) = a((u / (x * u)) \ 1,y,z).
(L(L(x,y,z),x,u) \ L(x,y,z)) * w = L(x,y,z) * (L(L(x,y,z),x,u) \ w).
a(x,y,L(y,z,u)) * w = L(y,z,u) * (L(L(y,z,u),y,x) \ w).
L(x,y,z) * (L(L(x,y,z),x,u) \ w) = a(u,x,L(x,y,z)) * w.
a(L(x,y,z),u,L(u,L(L(u,y,z),u,x),w)) = w \ (a(x,u,L(u,y,z)) * w).
a(L(x,y,z),u,L(u,L(L(u,y,z),u,x),w)) = a(x,u,L(u,y,z)).
a(x,y,L(y,z,u)) = ((u * z) * L(L(y,z,u),y,x)) \ (u * (z * y)).
((x * y) * L(L(z,y,x),z,u)) \ (x * (y * z)) = a(u,z,L(z,y,x)).
(x * (y * L(z,z,u))) \ (x * (y * z)) = a(u,z,L(z,y,x)).
a(x,y,L(y,z,u)) = a(x,y,L(y,z * y,u)).
a(x,y,L(y,z * y,u)) = a(x,y,L(y,z,u)).
a(x,y \ z,L(y \ z,z,u)) = a(x,y \ z,L(y \ z,y,u)).
a(x,y,L(y,z,u)) = a(x,y,L(y,y \ z,u)).
a(x,y,L(y,y \ z,u)) = a(x,y,L(y,z,u)).
a(a(L(x \ y,z,u),z,u),x,x) = a(a(y,x,L(x,y,z)),z,u).
a(x,y,y) * a(x,x,a(z,y,y)) = a(x,y,L(y,y \ x,z)).
a(x,(y / z) \ u,L((y / z) \ u,u,w)) = a(x,(y / z) \ u,L((y / z) \ u,z \ y,w)).
a(x,(y / z) \ u,L((y / z) \ u,z \ y,w)) = a(x,(y / z) \ u,L((y / z) \ u,u,w)).
a(a(x,y,L(y,x,z)),z,u) = a(y,y,a(u,z,y \ x)).
a(x,x,a(y,z,x \ u)) = a(x,x,a(y,z,u)).
a(R(x,x \ y,z),R(x,x \ y,z),a(u,w,(x \ y) * z)) = a(R(x,x \ y,z),R(x,x \ y,z),a(u,w,y * z)).
a(x,x,a(y,z,L(u \ 1,x,x))) = a(x,x,a(y,z,(u / x) \ 1)).
a(x,x,a(y,z,(u / x) \ 1)) = a(x,x,a(y,z,u \ 1)).
a(x,x,a(y,z,(u / x) \ 1)) = a(x,x,a(u,z,y)).
a(x,x,a(y,z,(x \ u) \ 1)) = a(x,x,a(u,z,y)).
a(x,x,a(y,z,u)) = a(x,x,a(x \ y,z,u)).
a(x,x,a(x \ y,z,u)) = a(x,x,a(y,z,u)).
x * a(y,y,a(x,z,u)) = L(x,y,a(y \ x,z,u)).
L(x,y,a(y \ x,z,u)) = x * a(y,y,a(x,z,u)).
a(x,x,a(y,z,u)) * y = L(y,x,a(x \ y,z,u)).
L(x,y,a(y \ x,z,u)) = a(y,y,a(x,z,u)) * x.
L(x,y,a(y \ x,y \ x,z * (u \ (y \ x)))) = a(y,y,a(x,y \ x,(y \ x) * ((u \ 1) * z))) * x.
a(x,x,a(y,x \ y,(x \ y) * ((z \ 1) * u))) * y = L(y,x,a(x \ y,x \ y,u * (z \ (x \ y)))).
a(x,(y / z) \ u,L((y / z) \ u,u,w)) = a(x,(y / z) \ u,L((z \ y) \ u,z \ y,w)).
a(x,(y / z) \ u,L((z \ y) \ u,z \ y,w)) = a(x,(y / z) \ u,L((y / z) \ u,u,w)).
a(x,(1 / y) \ (y \ z),L((1 / y) \ (y \ z),y \ z,u)) = a(x,(1 / y) \ (y \ z),L(L(z,y,y),y \ 1,u)).
(L(L(x,y,z),u,w) \ L(L(L(x,y,z),u,w),y,z \ 1)) * v5 = L(x \ L(x,y,z),u,w) \ v5.
(L(L(x,y,z),u,w) \ L(x,u,w)) * v5 = L(x \ L(x,y,z),u,w) \ v5.
L(L(x,y,z) \ x,u,w) * v5 = L(x \ L(x,y,z),u,w) \ v5.
L(x \ L(x,y,z),u,w) \ v5 = L(L(x,y,z) \ x,u,w) * v5.
L(x \ L(x,y,z),u,w) \ v5 = v5 * L(L(x,y,z) \ x,u,w).
((x * (a(y * y,z,z) * (u * w))) / w) \ ((x * u) * a(y * y,z,z)) = a(x,u * a(y * y,z,z),w).
a(x,y,z * a(u * u,w,w)) = ((y * (z * a(u * u,w,w))) \ (x \ ((x * y) * z))) * a(u * u,w,w).
((x * (y * a(z * z,u,u))) \ (w \ ((w * x) * y))) * a(z * z,u,u) = a(w,x,y * a(z * z,u,u)).
(a(x * x,y,y) * ((z * (u * w)) / w)) \ ((z * u) * a(x * x,y,y)) = a(z,u * a(x * x,y,y),w).
(a(x * x,y,y) \ ((z * u) \ (w \ ((w * z) * u)))) * a(x * x,y,y) = a(w,z,u * a(x * x,y,y)).
a(x,y * a(z * z,u,u),w) = ((a(z * z,u,u) * ((x * (y * w)) / w)) \ (x * y)) * a(z * z,u,u).
((a(x * x,y,y) * ((z * (u * w)) / w)) \ (z * u)) * a(x * x,y,y) = a(z,u * a(x * x,y,y),w).
(a(x * x,y,y) \ a(z,u,w)) * a(x * x,y,y) = a(z,u,w * a(x * x,y,y)).
a(x,y,z * a(u * u,w,w)) = a(x,y,z).
a(x,y,a(z * z,u,u) * w) = a(x,y,w).
a(x,y,z \ a(u * u,z,z)) = a(x,y,z \ 1).
a(x,y,(a(z,u,u) \ z) \ w) = a(x,y,R(z,u,u) \ w).
a(x,y,L(z,u,u * u)) = a(x,y,z).
a(x,y,z) = a(x,y,L(z,u,u \ (u \ 1))).
a(x,y,L(z,u,u \ (u \ 1))) = a(x,y,z).
R(x,y,L(z,u,u \ (u \ 1))) = a(x,y,z) * L(x,x,a(L(z,u,u \ (u \ 1)),y,y)).
a(x,y,z) * L(x,x,a(L(z,u,u \ (u \ 1)),y,y)) = R(x,y,L(z,u,u \ (u \ 1))).
a(x,y,L(z \ (u \ z),u,z)) = a(x,y,u \ 1).
a(x,y,R(z,u,u) \ w) = a(x,y,(z * a(u,u,z)) \ w).
a(x,y,(z * a(u,u,z)) \ w) = a(x,y,R(z,u,u) \ w).
a(x,y,L(z,u,u) \ w) = a(x,y,(z * a(u,u,z)) \ w).
a(x,y,(z * a(u,u,z)) \ w) = a(x,y,L(z,u,u) \ w).
a(x,y,(z * a(u,u,T(z,w))) \ (z * (w * z))) = a(x,y,L(T(z,w),u,u) \ (z * (z * w))).
a(x,y,z) * L(x,x,a(z,y,L(y,u,u \ (u \ 1)))) = R(x,y,L(z,u,u \ (u \ 1))).
a(x,y,z) * L(x,x,a(z,y,y)) = R(x,y,L(z,u,u \ (u \ 1))).
R(x,y,L(z,u,u \ (u \ 1))) = a(x,y,z) * L(x,x,a(z,y,y)).
R(x,y,z) = R(x,y,L(z,u,u \ (u \ 1))).
R(x,y,L(z,u,u \ (u \ 1))) = R(x,y,z).
R(x,y,(z \ 1) \ u) = R(x,y,L(z * u,z,u)).
R(x,y,L(z * u,z,u)) = R(x,y,(z \ 1) \ u).
R(x,y,(z \ 1) \ u) = R(x,y,(z \ u) * (z * z)).
R(x,y,(z \ u) * (z * z)) = R(x,y,(z \ 1) \ u).
R(x,y,(z \ 1) \ (z \ u)) = R(x,y,L(u,z,z \ 1)).
R(x,y,L(z,u,u \ 1)) = R(x,y,L(z,u,u)).
a(x,y,(z * a(u,u,z)) \ (z * (w * z))) = a(x,y,L(T(z,w),u,u) \ (z * (z * w))).
a(x,y,L(T(z,u),w,w) \ (z * (z * u))) = a(x,y,(z * a(w,w,z)) \ (z * (u * z))).
(((x * (y * z)) / z) \ (a(u * u,w,w) \ (x * y))) * a(u * u,w,w) = a(x,y * a(u * u,w,w),z).
a(x,y * a(z * z,u,u),w) = ((x * (y * w)) / w) \ (x * y).
a(x,y,z) = a(x,y * a(u * u,w,w),z).
a(x,y * a(z * z,u,u),w) = a(x,y,w).
L(x,y * a(z * z,u,u),w) = (a(w,y,x) * (y * a(z * z,u,u))) \ ((y * a(z * z,u,u)) * x).
(a(x,y,z) * (y * a(u * u,w,w))) \ ((y * a(u * u,w,w)) * z) = L(z,y * a(u * u,w,w),x).
a(x,y * (a(z * z,u,u) * w),v5) = a(x,y * w,v5).
a(x,y * (a(z * (u \ (u \ z)),u,u) * w),v5) = a(x,y * w,v5).
a(x,(L(y,y,z * (y \ (y \ z))) \ 1) * u,w) = a(x,(y \ 1) * u,w).
a(x,L(y \ 1,y,z * (y \ (y \ z))) * u,w) = a(x,(y \ 1) * u,w).
a(x,L(1 / y,y,z * (y \ z)) * u,w) = a(x,(y \ 1) * u,w).
a(x,(y \ 1) * z,u) = a(x,L(y \ 1,y,w * (y \ w)) * z,u).
a(x,L(y \ 1,y,z * (y \ z)) * u,w) = a(x,(y \ 1) * u,w).
a(x,L(1 / y,y,z * z) * u,w) = a(x,(y \ 1) * u,w).
a(x,(y \ 1) * z,u) = a(x,L(y \ 1,y,w * w) * z,u).
a(x,L(y \ 1,y,z * z) * u,w) = a(x,(y \ 1) * u,w).
a(x,(y \ 1) * z,u) = a(x,L(y \ z,y,z),u).
a(x,L(y \ z,y,z),u) = a(x,(y \ 1) * z,u).
a(x,(y \ 1) * z,u) = a(x,L(y \ z,y,y),u).
a(x,L(y \ z,y,y),u) = a(x,(y \ 1) * z,u).
(a(x,y,z) * (y * a(u * u,w,w))) \ (a(u * u,w,w) * (y * z)) = L(z,y * a(u * u,w,w),x).
L(x,y * a(z * z,u,u),w) = a(z * z,u,u) * ((a(w,y,x) * (y * a(z * z,u,u))) \ (y * x)).
a(x * x,y,y) * ((a(z,u,w) * (u * a(x * x,y,y))) \ (u * w)) = L(w,u * a(x * x,y,y),z).
a(x * x,y,y) * (a(x * x,y,y) \ ((a(z,u,w) * u) \ (u * w))) = L(w,u * a(x * x,y,y),z).
a(x * x,y,y) * (a(x * x,y,y) \ L(z,u,w)) = L(z,u * a(x * x,y,y),w).
L(x,y * a(z * z,u,u),w) = L(x,y,w).
L(x,y,z) = L(x,a(u * u,w,w) \ y,z).
L(x,a(y * y,z,z) \ u,w) = L(x,u,w).
L(x,L(y,z,z * z),u) = L(x,y,u).
L(x,y * (z \ 1),u) = L(x,L(z \ y,z,z),u).
L(x,L(y \ z,y,y),u) = L(x,z * (y \ 1),u).
L(x,y,z) = L(x,a(u,u,w * w) * y,z).
L(x,a(y,y,z * z) * u,w) = L(x,u,w).
L(x,L(y,z,z),u) = L(x,(z * y) * (z \ 1),u).
L(x,(y * z) * (y \ 1),u) = L(x,L(z,y,y),u).
L(x,L(y,z,z),u) = L(x,L(y,z,z \ 1),u).
L(x,L(y,z,z \ 1),u) = L(x,L(y,z,z),u).
L(x,L(y * z,z,z),u) = L(x,(z * z) * (z \ y),u).
L(x,(y * y) * (y \ z),u) = L(x,L(z * y,y,y),u).
L(x,(y * y) * (y \ z),u) = L(x,(y \ 1) \ z,u).
L(x,(a(y,y,z) * a(y,y,z)) * (u / R(y,y,z)),w) = L(x,(a(y,y,z) \ 1) \ (u / y),w).
L(x,a(y * y,y,z) * (u / R(y,y,z)),w) = L(x,(a(y,y,z) \ 1) \ (u / y),w).
L(x,(a(y,y,z) \ 1) \ (u / y),w) = L(x,a(y * y,y,z) * (R(y,y,z) \ u),w).
L(x,a(y * y,y,z) * (R(y,y,z) \ u),w) = L(x,(a(y,y,z) \ 1) \ (u / y),w).
a(L(L(x \ ((x \ 1) \ x),x \ 1,y),y,z),y,z) = R(L(x,x,x) \ 1,y,z) \ (L(x,x,x) \ 1).
a(L(L(x \ ((x \ 1) \ x),x \ 1,y),y,z),y,z) = L(x,x,x) \ (1 * R(1 \ L(x,x,x),y,z)).
a(L(L(x \ ((x \ 1) \ x),x \ 1,y),y,z),y,z) = L(x,x,x) \ (1 * R(L(x,x,x),y,z)).
a(L(L(x \ ((x \ 1) \ x),x \ 1,y),y,z),y,z) = L(x,x,x) \ (1 * L(R(x,y,z),x,x)).
a(L(L(x \ ((x \ 1) \ x),x \ 1,y),y,z),y,z) = L(x,x,x) \ L(R(x,y,z),x,x).
a(L(L(x \ ((x \ 1) \ x),x \ 1,y),y,z),y,z) = x \ R(x,y,z).
x \ R(x,y,z) = a(L(x \ ((x \ 1) \ x),x \ 1,y),y,z).
a(L(x \ ((x \ 1) \ x),x \ 1,y),y,z) = x \ R(x,y,z).
x \ R(x,y,z) = a(L(1 \ x,x \ 1,y),y,z).
a(L(1 \ x,x \ 1,y),y,z) = x \ R(x,y,z).
a(L(x,x \ 1,y),y,z) = x \ R(x,y,z).
x \ R(x,y,z) = a(L(x,x,y \ 1),y,z).
a(L(x,x,y \ 1),y,z) = x \ R(x,y,z).
a(x \ R(x,y,z),u,w) = a(w,u,a(z,y,L(x,x,y \ 1))).
a(x,y,a(z,u,L(w,w,u \ 1))) = a(w \ R(w,u,z),y,x).
a(x \ L(x,y,z),u,w) = a(w,u,a(z,y,L(x,x,y \ 1))).
a(x,y,a(z,u,L(w,w,u \ 1))) = a(w \ L(w,u,z),y,x).
a(x,y,L(z,u,w) \ z) = a(z \ L(z,u,w),y,x).
a(x \ L(x,y,z),u,w) = a(w,u,L(x,y,z) \ x).
a(x,L(y,z,u) \ y,L(y,z,u) \ y) = 1.
L(L(x,y,z) \ x,L(x,y,z) \ x,u) = L(x,y,z) \ x.
(L(x,y,z) \ x) * ((L(x,y,z) \ x) * u) = ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * u.
((L(x,y,z) \ x) * (L(x,y,z) \ x)) * u = (L(x,y,z) \ x) * ((L(x,y,z) \ x) * u).
R(L(x,y,z) \ x,u,w) = a(L(x,y,z) \ x,u,w) * (L(x,y,z) \ x).
a(L(x,y,z) \ x,u,w) * (L(x,y,z) \ x) = R(L(x,y,z) \ x,u,w).
L(L(x,y,z) \ x,u,w) = a(L(x,y,z) \ x,u,w) * (L(x,y,z) \ x).
a(L(x,y,z) \ x,u,w) * (L(x,y,z) \ x) = L(L(x,y,z) \ x,u,w).
L(x,L(y,z,u) \ y,L(y,z,u) \ y) = x.
x = L(x,a(y,z,u),a(y,z,u)).
L(x,a(y,z,u),a(y,z,u)) = x.
L(L(x,y,z),y,z) = ((L(x,y,z) \ x) * (x / L(x,y,z))) \ x.
((L(x,y,z) \ x) * (x / L(x,y,z))) \ x = L(L(x,y,z),y,z).
a(a(x,y,z),a(x,y,z),u) = 1.
(a(x,y,z) * a(x,y,z)) * u = a(x,y,z) * (a(x,y,z) * u).
(a(x,y,z) * u) \ 1 = a(x,y,z) \ (u \ 1).
L(x,a(y,z,u),a(u,z,y)) = x.
a(x \ 1,y,z) * u = a(x,y,z) \ u.
x * a(y \ 1,z,u) = a(y,z,u) \ x.
x * L(a(y,z,u),w,v5) = L(a(y \ 1,z,u),w,v5) \ x.
L(a(x \ 1,y,z),u,w) \ v5 = v5 * L(a(x,y,z),u,w).
1 = a(x,a(y,z,u),a(y,z,u)).
a(x,a(y,z,u),a(y,z,u)) = 1.
a(x,a(y,z,u),w) * 1 = R(w,a(y,z,u),x) \ w.
R(x,a(y,z,u),w) \ x = a(w,a(y,z,u),x) * 1.
a(x,a(y,z,u),w) \ 1 = w \ L(w,a(y,z,u),x).
a(x \ 1,y,z) * (a(x,y,z) * u) = u.
L(a(x,y,z),a(x,y,z),u) = a(x,y,z).
(a(x,y,z) \ u) / u = a(x \ 1,y,z).
a(x \ 1,y,z) = u \ (a(x,y,z) \ u).
x \ (a(y,z,u) \ x) = a(y \ 1,z,u).
L(x \ y,x,a(z \ 1,u,w)) = (a(z,u,w) \ x) \ (a(z \ 1,u,w) * y).
(a(x,y,z) \ u) \ ((u * w) * a(x \ 1,y,z)) = L(w,u,a(x \ 1,y,z)).
a(x,y,a(z,u,w)) * v5 = a(x,y,a(w,u,z)) \ v5.
a(x,y,a(z,u,w)) \ v5 = a(x,y,a(w,u,z)) * v5.
a(x,y,z) \ (L(u,u \ w,a(x,y,z)) \ w) = u \ (w * T(a(x \ 1,y,z),u \ w)).
a(x \ 1,y,z) = (u * a(x,y,z)) \ u.
(x * a(y,z,u)) \ x = a(y \ 1,z,u).
x * a(y,z,u) = a(y \ 1,z,u) \ x.
a(x \ 1,y,z) \ u = u * a(x,y,z).
x * a(L(y \ 1,z,u),w,v5) = a(L(y,z,u),w,v5) \ x.
x * a(a(y,z,u),w,v5) = a(a(u,z,y),w,v5) \ x.
a(a(x,y,z),u,w) \ v5 = v5 * a(a(z,y,x),u,w).
x * (a(y,z,u) \ 1) = a(y,z,u) \ x.
x * a(y,z,a(u,w,v5)) = a(a(u,w,v5),z,y) \ x.
a(a(x,y,z),u,w) \ v5 = v5 * a(w,u,a(x,y,z)).
x * a(y,a(z,u,w),v5) = a(v5,a(z,u,w),y) \ x.
a(x,a(y,z,u),w) \ v5 = v5 * a(w,a(y,z,u),x).
x * a(a(y,z,u),w,v5) = a(v5,w,a(y,z,u)) \ x.
a(x,y,a(z,u,w)) \ v5 = v5 * a(a(z,u,w),y,x).
x * (a(y \ 1,z,u) * L(w,a(y \ 1,z,u),x \ 1)) = (a(y,z,u) \ x) * w.
T(a(x,y,z) \ u,w) \ 1 = a(x,y,z) * (T(u,w) \ 1).
a(x,y,a(z,u,w)) * (a(a(z,u,w),y,x) * v5) = v5.
a(x,y,z) \ L(u,a(x,y,z),w) = L(a(x,y,z) \ u,a(x,y,z),w).
L(a(x,y,z) \ u,a(x,y,z),w) = a(x,y,z) \ L(u,a(x,y,z),w).
L(a(x,y,z),u,w) \ a(x,y,z) = a(w,u,a(x,y,z)).
R(a(x,y,z),u,w) = a(a(x,y,z),u,w) * a(x,y,z).
a(a(x,y,z),u,w) * a(x,y,z) = R(a(x,y,z),u,w).
a(x,y,a(z,u,w)) * a(z,u,w) = L(a(z,u,w),y,x \ 1).
L(a(x,y,z),u,w \ 1) = a(x,y,z) * a(w,u,a(x,y,z)).
a(x,y,z) * a(u,w,a(x,y,z)) = L(a(x,y,z),w,u \ 1).
(a(x,y,z) \ u) * L(w,u,a(x \ 1,y,z)) = ((a(x,y,z) \ u) / u) * (u * w).
((x * y) / (a(z,u,w) \ y)) * ((y / (a(z,u,w) \ y)) \ 1) = R(x,a(z \ 1,u,w),y).
L(a(x \ 1,y,z),u,u) = ((1 / u) \ a(x,y,z)) \ u.
((1 / x) \ a(y,z,u)) \ x = L(a(y \ 1,z,u),x,x).
(1 / x) \ a(y \ 1,z,u) = L(a(y,z,u),x,x) \ x.
L(a(x,y,z),u,u) \ u = (1 / u) \ a(x \ 1,y,z).
(x \ (a(y,z,u) \ x)) \ 1 = a(y,z,u).
x \ (a(y,z,u) \ x) = a(y,z,u) \ 1.
a(x \ 1,y,z) \ (u \ ((a(x,y,z) \ u) * w)) = L(w,u \ (a(x,y,z) \ u),u \ 1).
L(x,y \ (a(z,u,w) \ y),y \ 1) = a(z \ 1,u,w) \ (y \ ((a(z,u,w) \ y) * x)).
(x \ (a(y,z,u) \ x)) * w = a(y,z,u) \ w.
x * ((y * a(z,u,w)) \ y) = a(z,u,w) \ x.
((x * a(y \ 1,z,u)) * (w * a(y,z,u))) / w = R(x,a(y \ 1,z,u),a(y \ 1,z,u) \ w).
((x * a(y \ 1,z,u)) / w) * ((a(y \ 1,z,u) / w) \ 1) = R(x,w * a(y,z,u),a(y \ 1,z,u)).
(a(x \ 1,y,z) * ((u * a(x \ 1,y,z)) \ (u * w))) \ w = a(u,a(x \ 1,y,z),w * a(x,y,z)).
(a(x,y,z) \ 1) \ u = u * a(x,y,z).
a(x,a(x,y,z),u) \ w = w * a(x,a(z,y,x),u).
L(x \ (y * a(x,z,u)),x,a(u,z,x)) = (a(x,z,u) \ x) \ y.
a(x,y,z) * L(u,a(x,y,z),w) = L(a(x,y,z) * u,a(x,y,z),w).
L(a(x,y,z) * u,a(x,y,z),w) = a(x,y,z) * L(u,a(x,y,z),w).
L(a(x,y,z) \ 1,u,w) = (u * w) \ ((a(x,y,z) \ u) * w).
(x * y) \ ((a(z,u,w) \ x) * y) = L(a(z,u,w) \ 1,x,y).
(x \ 1) * a(y,z,u) = (a(y,z,u) \ x) \ 1.
(a(x,y,z) \ u) \ 1 = (u \ 1) * a(x,y,z).
(a(x,y,z) \ u) \ (u * (a(x,y,z) \ w)) = L(w,u \ (a(x,y,z) \ u),u).
L(x,y \ (a(z,u,w) \ y),y) = (a(z,u,w) \ y) \ (y * (a(z,u,w) \ x)).
a(x,y,z) \ a(u,w,w) = L(w,w,u) \ (a(x,y,z) \ w).
L(x,x,y) \ (a(z,u,w) \ x) = a(z,u,w) \ a(y,x,x).
x * y != a(z,a(u,w,z),x) \ x | y = a(x,z,a(u,w,z)).
(x * a(y,a(z,u,y),w)) \ x = a(w,y,a(z,u,y)).
a(x,a(y,z,u),w) = R(w,a(y,z,u),x) \ w.
R(x,a(y,z,u),w) \ x = a(w,a(y,z,u),x).
L(x,a(y,z,u),w) \ x = a(w,a(y,z,u),x).
L(x,a(y,z,u),w * v5) \ x = a(v5 * w,a(y,z,u),x).
L(x,a(y,z,u),(w \ v5) \ 1) \ x = a(L(v5 \ w,v5 \ w,v5),a(y,z,u),x).
a(L(x \ y,x \ y,x),a(z,u,w),v5) = L(v5,a(z,u,w),(y \ x) \ 1) \ v5.
a(x,a(y,z,u),w \ v5) = w \ (v5 * L(v5 \ w,a(y,z,u),x)).
x \ (y * L(y \ x,a(z,u,w),v5)) = a(v5,a(z,u,w),x \ y).
a(x,a(y,z,u),x * w) = L(w,a(y,z,u),x) \ w.
a(x,a(y,z,u),L(w,v5,v6)) = L(L(w,a(y,z,u),x) \ w,v5,v6).
L(L(x,a(y,z,u),w) \ x,v5,v6) = a(w,a(y,z,u),L(x,v5,v6)).
x * a(y,a(z,u,w),x) = L(x,a(z,u,w),y \ 1).
L(x,a(y,z,u),w \ 1) = x * a(w,a(y,z,u),x).
((x * y) \ (x * L(y,a(z,u,w),v5))) \ (y \ L(y,a(z,u,w),v5)) = a(x,y,a(v5,a(z,u,w),y) \ 1).
x \ L(x,a(y,z,u),w) = a(x,a(y,z,u),w).
x * a(x,a(y,z,u),w) = L(x,a(y,z,u),w).
L(a(x,a(y,z,u),w),x,v5) * v5 = (v5 / x) * L(x,a(y,z,u),w).
L(x,a(y,z,u),w) != x * v5 | a(x,a(y,z,u),w) = v5.
a(x,y,a(z,u,w)) * (v5 * a(a(z,u,w),y,x)) = v5.
L(x * a(y,z,a(u,w,v5)),y,a(y,z,a(v5,w,u))) = y * ((a(y,z,a(v5,w,u)) * y) \ x).
L(x * a(y,a(z,u,y),w),a(y,a(y,u,z),w),y) = y * (L(y,a(y,u,z),w) \ x).
(x * L(y,a(z,u,y),w)) \ (x * y) = a(w,y,a(z,u,y)).
a(x,a(y,z,u),x * w) = a(x,a(y,z,u),w).
x * a(x,a(y,z,u),w) = L(x,a(y,z,u),x * w).
L(x,a(y,z,u),x * w) = x * a(x,a(y,z,u),w).
L(x,a(y,z,u),x * w) = L(x,a(y,z,u),w).
L(x,a(y,z,u),w) = L(x,a(y,z,u),x \ w).
L(x,a(y,z,u),x \ w) = L(x,a(y,z,u),w).
L(L(L(x,y,z),a(u,w,v5),v6),y,z \ 1) = L(x,a(u,w,v5),L(x,y,z) * v6).
a(x,y,a(z,u,w)) * (a(z,u,w) \ v5) = v5 * L(v5 \ (a(z,u,w) \ v5),y,x).
a(x,x,a(y,z,u)) * a(x,w,a(y,z,u)) = L(L(a(y,z,u),w,x),x,x) \ a(y,z,u).
L(L(a(x,y,z),u,w),w,w) \ a(x,y,z) = a(w,w,a(x,y,z)) * a(w,u,a(x,y,z)).
L(a(x,y,z),u,w) = a(a(x,y,z),u,w) * a(x,y,z).
a(a(x,y,z),u,w) * a(x,y,z) = L(a(x,y,z),u,w).
L(a(x,y,z),u,u) \ u = (a(x,y,z) / u) \ 1.
a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w).
L(a(x,y,z),u,w) = a(x,y,z) * a(a(x,y,z),u,w).
a(x,y,z) * a(a(x,y,z),u,w) = L(a(x,y,z),u,w).
a(x \ 1,a(x,y,z),u) * a(x,y,z) = L(a(x,y,z),x \ 1,u).
a(x,y,a(z,u,w)) * a(w,u,z) = L(a(w,u,z),y,x).
a(a(x,y,z),u,w) * a(z,y,x) = L(a(z,y,x),u,w \ 1).
L(a(x,y,z),u,w) != a(x,y,z) * v5 | a(a(x,y,z),u,w) = v5.
L(a(x,y,z),u,w) \ v5 = v5 * L(a(x \ 1,y,z),u,w).
x * L(a(y \ 1,z,u),w,v5) = L(a(y,z,u),w,v5) \ x.
a(x,y,a(z,u,y)) = w \ (y * (L(y,a(z,u,y),x) \ w)).
x \ (y * (L(y,a(z,u,y),w) \ x)) = a(w,y,a(z,u,y)).
x * L(y \ (a(z,u,w) \ y),v5,v6) = L(a(z,u,w),v5,v6) \ x.
(x \ y) * a(z,x,a(u,w,x)) = L(x,a(u,w,x),z) \ y.
((L(x,y,z) \ x) * (L(x,y,z) \ x)) \ x = L(L(x,y,z),y,z).
L((x \ y) * a(x,z,u),x,a(u,z,x)) = (a(x,z,u) \ x) \ y.
((x * x) * y) \ ((y * x) * L(y \ (((x * x) * y) / x),a(z,u,w),v5)) = a(v5,a(z,u,w),((x * x) * y) \ (y * x)).
L(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),L(w,v5,v6)).
a(x,a(y,z,u),L(w,v5,v6)) = L(a(x,a(y,z,u),w),v5,v6).
a(x,a(y,z,u),L(w,v5,x)) = a(x,a(y,z,u),w).
a(x,a(y,z,u),L(w,v5,v6)) \ 1 = L(a(w,a(y,z,u),x),v5,v6).
a(x,a(y,z,u),a(w,v5,x) \ v5) = a(x,a(y,z,u),L(v5,x,w)).
(L(x,y,z) \ L(x,y,z \ 1)) \ x = L(L(x,y,z),y,z).
(a(x,y,z) \ x) \ u = ((x \ u) / x) * (x * a(x,y,z)).
((x \ y) / x) * (x * a(x,z,u)) = (a(x,z,u) \ x) \ y.
x * ((a(x,y,z) \ x) \ u) = (a(x,y,z) * x) * (x \ u).
(a(x,y,z) * x) * (x \ u) = x * ((a(x,y,z) \ x) \ u).
L(a(x,a(y,z,u),w),v5,v6) = a(L(x,v5,v6),a(y,z,u),w).
a(L(x,y,z),a(u,w,v5),v6) = L(a(x,a(u,w,v5),v6),y,z).
a(x,a(y,z,u),L(w,v5,v6)) = a(L(x,v5,v6),a(y,z,u),w).
a(L(x,y,z),a(u,w,v5),v6) = a(x,a(u,w,v5),L(v6,y,z)).
a(x,a(y,z,u),L(w,x,v5)) = a(x,a(y,z,u),a(x,w,v5) * w).
a(x,a(y,z,u),a(x,w,v5) * w) = a(x,a(y,z,u),L(w,x,v5)).
a(x,a(y,z,u),L(w,x,v5)) * v5 = (v5 / x) * L(x,a(y,z,u),w).
a(x,y,a(y,z,u)) * a(y,z,u) = L(a(y,z,u),y \ 1,x).
(x \ 1) * L(a(x,y,z),x \ 1,u) = R(x,a(x,y,z),u) \ a(x,y,z).
R(x,a(x,y,z),u) \ a(x,y,z) = (x \ 1) * L(a(x,y,z),x \ 1,u).
L(a(x,y,z),x \ 1,u) = a(x,y,z) * a(u,x,a(x,y,z)).
a(x,y,z) * a(u,x,a(x,y,z)) = L(a(x,y,z),x \ 1,u).
L(a(x,y,z),x \ 1,u) = L(a(x,y,z),x,u \ 1).
a(x,y,z) * a(x,a(z,y,x),u) = L(a(x,y,z),x \ 1,u).
L(a(x,y,z),x \ 1,u) \ 1 = a(x,y,z) \ a(x,a(x,y,z),u).
a(x,y,z) \ a(x,a(x,y,z),u) = L(a(x,y,z),x \ 1,u) \ 1.
L(a(x \ 1,y,z),x \ 1,u) = a(x,y,z) \ a(x,a(x,y,z),u).
a(x,y,z) \ a(x,a(x,y,z),u) = L(a(x \ 1,y,z),x \ 1,u).
L(x,a(y,z,u),w) * (a(y,z,u) \ 1) = L(a(y,z,u) \ x,a(y,z,u),w).
L(a(x,y,z) * (a(x,y,z) \ u),a(x,y,z),w) = a(x,y,z) * ((w * a(x,y,z)) \ (w * u)).
L(a(x,y,z) * (a(x,y,z) \ u),a(x,y,z),w) = w * (a(x,y,z) * ((w * a(x,y,z)) \ u)).
R(x,a(x,y,z),u) \ a(x,y,z) = x \ L(a(x,y,z),x \ 1,u).
L(x,a(x,y,z),u) \ a(x,y,z) = x \ L(a(x,y,z),x \ 1,u).
L(x,a(x,y,z),u) \ a(x,y,z) = x \ L(a(x,y,z),x,u \ 1).
(a(x,y,z) \ u) \ (a(x \ 1,y,z) * w) = L(u \ w,u,a(z,y,x)).
L(x \ y,x,a(z,u,w)) = (a(w,u,z) \ x) \ (a(w \ 1,u,z) * y).
L(x \ (a(y,z,u) * w),x,a(u,z,y)) = (a(y,z,u) \ x) \ w.
(a(x,y,z) \ u) \ (a(x,y,z) \ (u * w)) = L(w,u,a(x \ 1,y,z)).
L(x,y,a(z \ 1,u,w)) = L(x,a(z,u,w) \ y,a(z,u,w) \ 1).
L(x,a(y,z,u) \ w,a(y,z,u) \ 1) = L(x,w,a(y \ 1,z,u)).
L(x,y,a(z \ 1,u,w)) = L(x,a(z,u,w) \ y,a(w,u,z)).
L(x,a(y,z,u) \ w,a(u,z,y)) = L(x,w,a(y \ 1,z,u)).
L(x,y * a(z,u,w),a(z \ 1,u,w)) = L(x,y,a(w,u,z)).
L(x,a(y \ 1,z,u),w) = (a(y,z,u) \ w) \ (w * (a(y,z,u) \ x)).
(a(x,y,z) \ u) \ (u * (a(x,y,z) \ w)) = L(w,a(x \ 1,y,z),u).
(a(x,y,z) \ u) \ (u * (a(x,y,z) \ w)) = L(w,a(z,y,x),u).
a(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = w \ L(w,a(z,y,x),u).
R(x,a(y,z,u),w) * (a(y,z,u) \ 1) = L(a(y,z,u) \ x,a(y,z,u),w).
a(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = a(w,a(z,y,x),u).
a(x,a(y,z,u),a(y,z,u) \ w) = a(w,a(u,z,y),a(y,z,u) * x).
R(x,a(y \ 1,z,u),w) * (a(y \ 1,z,u) \ 1) = L(x * a(y,z,u),a(y \ 1,z,u),w).
L(x,a(y,z,u),L(x,w,v5) * v6) = L(x,a(y,z,u),v6).
L(x,a(y,z,u),w) \ x = a(w * L(x,v5,v6),a(y,z,u),x).
a(x * L(y,z,u),a(w,v5,v6),y) = L(y,a(w,v5,v6),x) \ y.
a(x * L(y,z,u),a(w,v5,v6),y) = a(x,a(w,v5,v6),y).
a(x,y,a(z,u,w)) * (a(z,u,w) \ v5) = L(a(z,u,w),y,x) \ v5.
a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = a(w,u,a(x,y,z)) * v5.
a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = v5 * a(w,u,a(x,y,z)).
L(a(x,y,z),u,w) \ (v5 * a(x,y,z)) = v5 * a(w,u,a(x,y,z)).
(a(x,y,z) \ u) * L(w,u,a(z,y,x)) = ((a(x,y,z) \ u) / u) * (u * w).
(a(x,y,z) \ u) * L(w,u,a(z,y,x)) = a(x \ 1,y,z) * (u * w).
(a(x,y,z) \ u) * L(w,u,a(z,y,x)) = a(x,y,z) \ (u * w).
(a(x,y,z) \ u) * w = a(x,y,z) \ (u * L(w,u,a(x,y,z))).
a(x,y,z) \ (u * L(w,u,a(x,y,z))) = (a(x,y,z) \ u) * w.
(a(x * x,x,y) \ z) * u = a(x * x,x,y) \ (z * u).
a(x * x,x,y) \ (z * u) = (a(x * x,x,y) \ z) * u.
x \ (y \ ((a(y * y,y,z) \ (R(R(y,y,z),y,z) * x)) * u)) = L(u,x,R(R(y,y,z),y,z) \ 1).
x * (L(x,a(x,y,z),u) \ w) = L(w * a(x,a(z,y,x),u),x,a(x,a(x,y,z),u)).
L(x * a(y,a(z,u,y),w),y,a(y,a(y,u,z),w)) = y * (L(y,a(y,u,z),w) \ x).
x * (L(x,a(x,y,z),u) \ w) = w * a(x,a(z,y,x),u).
L(x,a(x,y,z),u) \ w = (x \ w) * a(x,a(z,y,x),u).
(x \ y) * a(x,a(z,u,x),w) = L(x,a(x,u,z),w) \ y.
(x \ y) * a(z,x,a(x,u,w)) = L(x,a(x,u,w),z) \ y.
L(x,a(x,y,z),u) \ u = L(x \ u,x,a(x,y,z)).
L(x \ y,x,a(x,z,u)) = L(x,a(x,z,u),y) \ y.
L(x \ y,a(x,z,u),y) = L(x \ y,x,a(x,z,u)).
a(x,y,z) \ (L(u,u \ w,a(x,y,z)) \ w) = u \ (w * a(x \ 1,y,z)).
a(x,y,z) \ (L(u,u \ w,a(x,y,z)) \ w) = u \ (a(x,y,z) \ w).
((a(x,y,z) \ u) \ (u * w)) * ((u / (a(x,y,z) \ u)) \ 1) = R(w,a(x \ 1,y,z),u).
L(x,y \ (a(z,u,w) \ y),y \ 1) = (y \ ((a(z,u,w) \ y) * x)) * a(z,u,w).
L(x,a(y \ 1,z,u),w \ 1) = (w \ ((a(y,z,u) \ w) * x)) * a(y,z,u).
(x \ ((a(y,z,u) \ x) * w)) * a(y,z,u) = L(w,a(y \ 1,z,u),x \ 1).
(x \ ((a(y,z,u) \ x) * w)) * a(y,z,u) = L(w,a(u,z,y),x \ 1).
a(x,y,z) * R(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = L(u,a(z,y,x),w \ 1).
((a(x,y,z) \ u) \ (u * w)) * (a(x,y,z) \ 1) = R(w,a(x \ 1,y,z),u).
R(x,a(y \ 1,z,u),w) = a(y,z,u) \ ((a(y,z,u) \ w) \ (w * x)).
a(x,y,z) \ ((a(x,y,z) \ u) \ (u * w)) = R(w,a(x \ 1,y,z),u).
L(x,a(y \ 1,z,u),w) = a(y,z,u) \ ((a(y,z,u) \ w) \ (w * x)).
a(x,y,z) \ ((a(x,y,z) \ u) \ (u * w)) = L(w,a(x \ 1,y,z),u).
a(x,y,z) \ ((a(x,y,z) \ u) \ (u * w)) = L(w,a(z,y,x),u).
a(x,y,z) * L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = L(u,a(z,y,x),w \ 1).
L(a(x,y,z) * (a(x,y,z) \ u),a(x,y,z),a(x,y,z) \ w) = L(u,a(z,y,x),w \ 1).
L(x,a(y,z,u),a(y,z,u) \ w) = L(x,a(u,z,y),w \ 1).
L(T(a(x,y,z) \ u,w),a(z,y,x),w \ 1) = w \ (u * (a(x,y,z) \ w)).
L(x,a(y,z,u),a(y,z,u) \ w) = x * a(w,a(u,z,y),x).
L(x,a(y,z,u),w) = a(y,z,u) * ((w * a(y,z,u)) \ (w * x)).
a(x,y,z) * ((u * a(x,y,z)) \ (u * w)) = L(w,a(x,y,z),u).
L(x,a(y,z,u),w) \ x = a(w,a(y,z,u),a(y,z,u) \ x).
a(x,a(y,z,u),a(y,z,u) \ w) = L(w,a(y,z,u),x) \ w.
a(x,a(y,z,u),a(y,z,u) \ w) = a(x,a(y,z,u),w).
a(x,a(y,z,u),w) = a(w,a(u,z,y),a(y,z,u) * x).
a(x,a(y,z,u),a(u,z,y) * w) = a(w,a(u,z,y),x).
L(x,a(y,z,u),w) = w * (a(y,z,u) * ((w * a(y,z,u)) \ x)).
x * (a(y,z,u) * ((x * a(y,z,u)) \ w)) = L(w,a(y,z,u),x).
R(x,a(y \ 1,z,u),w) * (a(y \ 1,z,u) \ 1) = L(x * a(y,z,u),a(u,z,y),w).
L(x,a(y \ 1,z,u),w) * (a(y \ 1,z,u) \ 1) = L(x * a(y,z,u),a(u,z,y),w).
L(x,a(y,z,u),w) * (a(u \ 1,z,y) \ 1) = L(x * a(u,z,y),a(y,z,u),w).
L(x,a(y,z,u),w) * a(u,z,y) = L(x * a(u,z,y),a(y,z,u),w).
L(x * a(y,z,u),a(u,z,y),w) = L(x,a(u,z,y),w) * a(y,z,u).
((a(x,y,z) \ u) * (w * a(x,y,z))) / w = R(u,a(x \ 1,y,z),a(x \ 1,y,z) \ w).
R(x,a(y \ 1,z,u),a(y \ 1,z,u) \ w) = ((a(y,z,u) \ x) * (w * a(y,z,u))) / w.
R(x,a(y \ 1,z,u),a(y \ 1,z,u) \ w) = w \ ((w * a(y,z,u)) * (a(y,z,u) \ x)).
R(x,a(y \ 1,z,u),w * a(y,z,u)) = w \ ((w * a(y,z,u)) * (a(y,z,u) \ x)).
x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = R(w,a(y \ 1,z,u),x * a(y,z,u)).
L(x,a(y \ 1,z,u),w * a(y,z,u)) = w \ ((w * a(y,z,u)) * (a(y,z,u) \ x)).
x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = L(w,a(y \ 1,z,u),x * a(y,z,u)).
x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = L(w,a(u,z,y),x * a(y,z,u)).
x \ (y \ (((a(y * y,y,z) \ R(R(y,y,z),y,z)) * x) * u)) = L(u,x,R(R(y,y,z),y,z) \ 1).
x \ (y \ ((y * x) * z)) = L(z,x,R(R(y,y,u),y,u) \ 1).
L(x,y,R(R(z,z,u),z,u) \ 1) = y \ (z \ ((z * y) * x)).
L(x,y,R(R(z,z,u),z,u) \ 1) = L(x,y,z \ 1).
L(x,y,R(R(z,z,u) \ 1,z,u)) = L(x,y,z \ 1).
L(x,y,R(R(z \ 1,z,u),z,u)) = L(x,y,z \ 1).
L(x,y,L(R(z \ 1,z,u),z,u)) = L(x,y,z \ 1).
L(x,y,(z * u) \ L(z,u,u)) = L(x,y,u \ 1).
L(x,y,z \ 1) = L(x,y,u \ L(z \ u,z,z)).
L(x,y,z \ L(u \ z,u,u)) = L(x,y,u \ 1).
L(x,y,z \ L(L(u,w,u) * z,R(1 / L(u,w,u),u,z),R(1 / L(u,w,u),u,z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
((a(x,y,z) \ u) / w) * ((a(x \ 1,y,z) / w) \ 1) = R(u,w * a(x,y,z),a(x \ 1,y,z)).
((a(x,y,z) \ u) / w) * ((1 / w) \ a(x,y,z)) = R(u,w * a(x,y,z),a(x \ 1,y,z)).
L(x,y * a(z,u,w),a(z \ 1,u,w)) = ((a(z,u,w) \ x) / y) * ((1 / y) \ a(z,u,w)).
((a(x,y,z) \ u) / w) * ((1 / w) \ a(x,y,z)) = L(u,w * a(x,y,z),a(x \ 1,y,z)).
((a(x,y,z) \ u) / w) * ((1 / w) \ a(x,y,z)) = L(u,w,a(z,y,x)).
(a(x \ 1,y,z) * ((a(x,y,z) \ u) \ (u * w))) \ w = a(u,a(x \ 1,y,z),w * a(x,y,z)).
(a(x,y,z) \ ((a(x,y,z) \ u) \ (u * w))) \ w = a(u,a(x \ 1,y,z),w * a(x,y,z)).
L(x,a(y,z,u),w) \ x = a(w,a(u \ 1,z,y),x * a(u,z,y)).
a(x,a(y \ 1,z,u),w * a(y,z,u)) = L(w,a(u,z,y),x) \ w.
a(x,a(y \ 1,z,u),w * a(y,z,u)) = a(x,a(u,z,y),w).
a(x,a(y,z,u),w) = a(x,a(y,z,u),w * a(u,z,y)).
a(x,a(y,z,u),w * a(u,z,y)) = a(x,a(y,z,u),w).
a(x,a(y,z,u),a(u,z,y) * w) = a(x,a(y,z,u),w).
a(x,a(y,z,u),w) = a(w,a(u,z,y),x).
a(x,a(y,z,u),L(w,w,v5 \ 1)) = a(L(w,w,v5 \ w),a(u,z,y),x).
a(L(x,x,y \ x),a(z,u,w),v5) = a(v5,a(w,u,z),L(x,x,y \ 1)).
a(x,a(y,z,u),w) * a(x,a(u,z,y),w) = 1.
x * a(y,a(z,u,w),x) = L(x,a(w,u,z),y).
L(x,a(y,z,u),w \ 1) = L(x,a(u,z,y),w).
L(x,a(y,z,u),x \ w) = x * a(w,a(u,z,y),x).
L(x,a(y,z,u),a(y,z,u) \ w) = L(x,a(y,z,u),w).
(x / y) * L(y,a(z,u,w),v5) = y * (L(y,a(w,u,z),v5) \ x).
L(x,a(y,z,u),a(w,v5,v6) \ (v7 \ 1)) = L(x,a(u,z,y),a(w,v5,v6) * v7).
a(L(x \ y,x \ y,x),a(z,u,w),v5) = L(v5,a(w,u,z),y \ x) \ v5.
x * (a(y \ 1,z,u) * L(w,a(u,z,y \ 1),x)) = (a(y,z,u) \ x) * w.
L(T(a(x,y,z) \ u,w),a(x,y,z),w) = w \ (u * (a(x,y,z) \ w)).
a(x,a(y,z,u),x \ w) = a(w,a(u,z,y),x).
a(x,a(y,z,u),T(a(x,w,v5) * w,x)) = a(w * R(x,w,v5),a(u,z,y),x).
a(x,a(y,z,u),L(w,x,v5)) * v5 = x * (L(x,a(u,z,y),w) \ v5).
a(x,a(y,z,u),L(w,w,v5 \ 1)) = a(w,a(u,z,y),L(x,w,v5 \ w)).
x \ (y * (a(z,u,w) \ x)) = (x * a(z,u,w)) \ (y * x).
(x * a(y,z,u)) \ (w * x) = x \ (w * (a(y,z,u) \ x)).
T((x * a(y,z,u)) \ (x * w),K(x,w)) = K(x,w) * (x \ (w * (a(y,z,u) \ x))).
a(L(x \ y,x \ y,x),a(z,u,w),v5) = a(y \ x,a(w,u,z),v5).
a(x \ y,a(z,u,w),v5) = a(y \ x,a(w,u,z),L(v5,y \ x,y)).
a(x \ y,a(z,u,w),L(v5,x \ y,x)) = a(y \ x,a(w,u,z),v5).
L(x,a(y,z,u),a(u,z,y) * w) = L(x,a(u,z,y),w \ 1).
L(x,a(y,z,u),w \ 1) = L(x,a(u,z,y),w * a(y,z,u)).
L(x,a(y,z,u),w * a(u,z,y)) = L(x,a(u,z,y),w \ 1).
x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = L(w,a(y,z,u),x \ 1).
x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = L(w,a(u,z,y),x).
x * (a(y \ 1,z,u) * L(w,a(y,z,u),x)) = (a(y,z,u) \ x) * w.
x * (a(y,z,u) \ L(w,a(y,z,u),x)) = (a(y,z,u) \ x) * w.
x * L(a(y,z,u) \ w,a(y,z,u),x) = (a(y,z,u) \ x) * w.
x * ((x * a(y,z,u)) \ w) = (a(y,z,u) \ x) * (x \ w).
(a(x,y,z) \ u) * (u \ w) = u * ((u * a(x,y,z)) \ w).
(x * a(y,z,u)) * (x \ w) = x * ((x * a(y \ 1,z,u)) \ w).
x * ((x * a(y \ 1,z,u)) \ w) = (x * a(y,z,u)) * (x \ w).
x * ((a(y,z,u) \ x) \ w) = (x * a(y,z,u)) * (x \ w).
(x * a(y,z,u)) * (x \ w) = x * ((a(y,z,u) \ x) \ w).
a(x * R(y,x,z),a(u,w,v5),y) = a(y,a(v5,w,u),a(y,x,z) * x).
a(x * L(y,x,z),a(u,w,v5),y) = a(y,a(v5,w,u),a(y,x,z) * x).
a(x * L(y,x,z),a(u,w,v5),y) = a(y,a(v5,w,u),L(x,y,z)).
a(x,a(y,z,u),L(w,x,v5)) = a(w,a(u,z,y),x).
a(x,a(y,z,u),w) * v5 = (v5 / w) * L(w,a(u,z,y),x).
(x / y) * L(y,a(z,u,w),v5) = a(v5,a(w,u,z),y) * x.
a(x,a(y,z,u),w) * v5 = w * (L(w,a(y,z,u),x) \ v5).
x * (L(x,a(y,z,u),w) \ v5) = a(w,a(y,z,u),x) * v5.
a(x,a(y,z,u),w \ v5) = a(v5 \ w,a(y,z,u),x).
a(x \ y,a(z,u,w),v5) = a(v5,a(z,u,w),y \ x).
a(x \ y,a(z,u,w),v5) \ v6 = v6 * a(y \ x,a(z,u,w),v5).
a(x \ y,a(z,u,w),v5) = a(y \ x,a(w,u,z),v5).
a(x \ y,a(y,y,x),z) * a(x,y,y) = a(x,y,L(y,y \ x,z)).
L(x,y,a(z,y \ x,y \ x)) = x * a(x \ y,a(y,y,x),z).
a(x,y,L(y,y \ x,z)) = a(x,y,y) * a(x \ y,a(y,y,x),z).
a(x,y,y) * a(x \ y,a(y,y,x),z) = a(x,y,L(y,y \ x,z)).
a(x,y,y) * z != a(x,y,L(y,y \ x,u)) | z = a(x,x,a(u,y,y)).
a(x \ y,a(y,y,x),z) = a(x,x,a(z,y,y)).
L(x,y,a(z,y \ x,y \ x)) = x * a(x,x,a(z,y,y)).
L(x,y,a(z,y \ x,y \ x)) = R(x,x,a(z,y,y)).
L(x,x,a(y,z,z)) = L(x,z,a(y,z \ x,z \ x)).
L(x,y,a(z,y \ x,y \ x)) = L(x,x,a(z,y,y)).
T((x * a(y,z,u)) \ (x * w),K(x,w)) = x \ ((a(y,z,u) \ x) * w).
x \ ((a(y,z,u) \ x) * w) = (x * a(y,z,u)) \ (x * w).
(x * a(y,z,u)) \ (x * w) = x \ ((a(y,z,u) \ x) * w).
a(x,y,L(T(z,u),w,w) \ (z * (z * u))) = a(x,y,z \ ((a(w,w,z) \ z) * (u * z))).
a(x,y,L(T(z,u),w,w) \ (z * (z * u))) = a(x,y,z \ (L(z,w,w) * (u * z))).
a(x,y,L(T(z,u),w,w) \ (z * (z * u))) = a(x,y,z \ (z * (u * L(z,w,w)))).
a(x,y,L(T(z,u),w,w) \ (z * (z * u))) = a(x,y,u * L(z,w,w)).
a(x,y,z * (L(T(z,u),w,w) \ (z * u))) = a(x,y,u * L(z,w,w)).
a(x,y,z * (L(z,u,u) \ (w * z))) = a(x,y,w * L(z,u,u)).
a(x,y,z * L(u,w,w \ 1)) = a(x,y,z * L(u,w,w)).
a(x,y,(1 / z) * L(L(u,w,w \ 1),z,z)) = a(x,y,R(1 / z,z,L(u,w,w \ 1)) * L(u,w,w)).
a(x,y,R(1 / z,z,L(u,w,w \ 1)) * L(u,w,w)) = a(x,y,(1 / z) * L(L(u,w,w \ 1),z,z)).
(x \ ((x / y) * L(y,a(z,u,w),v5))) \ (y \ L(y,a(z,u,w),v5)) = a(x,y,a(v5,a(z,u,w),y) \ 1).
a(x,y,R(1 / z,z,L(u,w,w \ 1)) * L(u,w,w)) = a(x,y,(z \ 1) * L(L(u,w,w \ 1),z,z)).
(x \ (a(y,a(z,u,w),v5) * x)) \ (v5 \ L(v5,a(w,u,z),y)) = a(x,v5,a(y,a(w,u,z),v5) \ 1).
a(x,a(y,z,u),w) \ (w \ L(w,a(u,z,y),x)) = a(v5,w,a(x,a(u,z,y),w) \ 1).
a(x,y,a(z,a(u,w,v5),y) \ 1) = a(z,a(v5,w,u),y) \ (y \ L(y,a(u,w,v5),z)).
a(x,y,a(z,a(u,w,v5),y) \ 1) = a(z,a(v5,w,u),y) \ a(y,a(u,w,v5),z).
a(x,y,a(z,a(u,w,v5),y) \ 1) = a(y,a(u,w,v5),z) * a(y,a(v5,w,u),z).
a(x,y,a(z,a(u,w,v5),y) \ 1) = 1.
a(x,y,a(y,a(z,u,w),v5)) = 1.
a(x,y,a(z,a(u,w,v5),y)) = 1.
a(x,y,a(y,z,a(z,u,w))) = 1.
a(x,y,R(1 / z,z,L(u,w,w \ 1)) * L(u,w,w)) = a(x,y,z \ L(u,w,w \ 1)).
a(x,y,R(1 / z,z,L(u,w,w)) * L(u,w,w)) = a(x,y,z \ L(u,w,w \ 1)).
a(x,y,L((1 / z) * L(u,w,w),z,L(u,w,w))) = a(x,y,z \ L(u,w,w \ 1)).
a(x,y,T(L(z,u,u) / w,L(z,u,u))) = a(x,y,w \ L(z,u,u \ 1)).
a(x,y,z \ L(u,w,w \ 1)) = a(x,y,z \ L(u,w,w)).
a(x,y,z \ L(u,z,z)) = a(x,y,(z \ 1) * u).
a(x,y,L(z \ u,z,u)) = a(x,y,(z \ 1) * u).
L((x * a(y,y,x)) * z,y,a(y,x,x)) = a(y,y,x * a(y,y,x)) * (x * z).
L((x * a(y,y,x)) * z,y,a(y,x,x)) = a(y,y,x) * (x * z).
L((x * a(y,y,x)) * z,y,a(y,x,x)) = x * (a(y,y,x) * z).
L(a(x,y,L(L(y,z,u),w,v5)),y,L(L(y,z,u),w,v5)) = L(L(L(y,z,u),y,x) \ L(y,z,u),w,v5).
L(a(x,y,L(L(y,z,u),w,v5)),y,L(L(y,z,u),w,v5)) = L(a(x,y,L(y,z,u)),w,v5).
L(a(x,y,L(y,z,u)),w,v5) = a(x,y,L(L(y,z,u),w,v5)).
a(x,y,L(L(y,z,u),w,v5)) = L(a(x,y,L(y,z,u)),w,v5).
a(L(x,y,z),u,L(u,w,v5)) = a(x,u,L(L(u,y,z),w,v5)).
a(x,x,a(y,z,L(L(z,u,w),v5,x))) = L(x \ L(x,z,a(z,x,y)),u,w).
a(a(x,x,L(x \ (y \ x),z,u)),w,w) = a(x,x,a(y \ 1,w,L(L(w,z,u),L(y \ 1,z,u),x))).
a(x,x,a(y,z,L(L(z,u,w),v5,x))) = L(a(x,z,a(z,x,y)),u,w).
a(x,L(y,z,u),a(y,x,w)) = a(x,x,a(w,y,L(L(y,z,u),v5,x))).
a(x,x,a(y,z,L(L(z,u,w),v5,x))) = a(x,L(z,u,w),a(z,x,y)).
L((a(x,y,y) * z) \ u,a(x,y,y) * z,a(x,y,y)) = (y * (L(y,y,x * x) \ z)) \ (a(x,y,y) * u).
L((a(x,y,y) * z) \ u,a(x,y,y) * z,a(x,y,y)) = (a(x * x,y,y) * z) \ (a(x,y,y) * u).
(a(x * x,y,y) * z) \ (a(x,y,y) * u) = L((a(x,y,y) * z) \ u,z,a(x,y,y)).
L((a(x,y,y) * z) \ u,z,a(x,y,y)) = (a(x * x,y,y) * z) \ (a(x,y,y) * u).
L((a(x,y,y) * z) \ u,z,a(x,y,y)) = z \ (a(x,y,y) \ u).
L((R(x,y \ z,y) \ y) / y,L((x \ y) / y,(x \ y) / y,u),w) = L(R((x \ y) / y,z / y,y),(x \ y) / y,w).
a(((L(x,y * (1 \ (x / y)),x) / y) \ 1) \ y,x,z) = (((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z).
L(a(x,a(x,y,y),(z * (u / z)) \ w),u,w) = a(x,a(y,y,x),w * (z * (u / z))).
L(a(x,a(x,y,y),z \ u),z,u) = a(x,a(y,y,x),u * (w * (z / w))).
a(x,a(x,y,y),L(z \ u,z,u)) = a(x,a(y,y,x),u * (w * (z / w))).
a(x,a(y,y,x),z * (u * (w / u))) = a(x,a(x,y,y),L(w \ z,w,z)).
a(x,a(y,y,x),z * (u * (w / u))) = a(y,y,a(w * (z \ 1),x,x)).
a(x,a(y,y,x),z * u) = a(y,y,a(u * (z \ 1),x,x)).
a(x,x,a(y * (z \ 1),u,u)) = a(u,a(x,x,u),z * y).
a(x,x,a((y * y) \ z,u,u)) = a(u,a(x,x,u),y * (y \ z)).
a(x,a(y,y,x),z * (z \ u)) = a(y,y,a((z * z) \ u,x,x)).
a(x * (y \ 1),z,a(u,u,z)) = a(z,a(u,u,z),y * x).
a(x,a(y,y,x),(z \ x) * u) = a(x,a(y,y,x),z * u).
a(x * (y \ 1),z,a(u,u,z)) = a(z,z,a(y * x,u,u)).
x * a(y,a(x,x,y),z * u) = L(x,x,a(y,y,(z \ 1) * u)).
L(x,x,a(y,y,(z \ 1) * u)) = x * a(y,a(x,x,y),z * u).
a(x,a(y,y,x),z) = a(y,y,a((u * u) \ z,x,x)).
a(x,x,a((y * y) \ z,u,u)) = a(u,a(x,x,u),z).
a(x,a(y,y,x),(z * z) \ u) = a(x,a(y,y,x),u).
a(x,a(y,y,x),z) = a(x,a(y,y,x),(u * u) * z).
a(x,a(y,y,x),(z * z) * u) = a(x,a(y,y,x),u).
x * a(y,a(x,x,y),z \ u) = L(x,x,a(y,y,L(u * z,z,z \ 1))).
L(x,x,a(y,y,L(z * u,u,u \ 1))) = x * a(y,a(x,x,y),u \ z).
L(x,x,a(y,y,(z \ 1) * u)) = L(x,x,a(y,y,z * u)).
L(x,x,a((y \ 1) * z,u,u)) = L(x,x,a(u,u,y * z)).
L(x,x,a(y,y,L(z * u,u,u \ 1))) = L(x,x,a(y,y,u \ z)).
L(x,x,a(y,y,L(z * u,u,u))) = L(x,x,a(y,y,u \ z)).
L(x,x,a(y,y,(z \ 1) \ u)) = L(x,x,a(y,y,z \ u)).
L(x,x,a(y,y,z \ u)) = L(x,x,a(y,y,z \ (u \ 1))).
L(x,x,a(y,y,z \ (u \ 1))) = L(x,x,a(y,y,z \ u)).
L(x,x,a(y \ (z \ 1),u,u)) = L(x,x,a(u,u,y \ z)).
a(((L(x,y * (x / y),x) / y) \ 1) \ y,x,z) = (((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z).
a(((L(x,x,x) / y) \ 1) \ y,x,z) = (((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z).
a(L(((x / y) \ 1) \ y,x,x),x,z) = (((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z).
(((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z) = a(((x / y) \ 1) \ y,x,z).
(((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z) = a(((y \ x) \ 1) \ y,x,z).
(x * a(y \ 1,z,x)) \ L(x * a(y \ 1,z,x),z,y) = L(x,x,a(z,z,y)) \ (x * a(y \ 1,z,x)).
(x * a(y \ 1,z,x)) \ L(x * a(y \ 1,z,x),z,y) = L(x,x,a(z,z,y)) \ (a(y,z,x) \ x).
(x * a(y \ 1,z,x)) \ L(x * a(y \ 1,z,x),z,y) = a(y,z,x) \ a(a(z,z,y),x,x).
(x * a(y \ 1,z,x)) \ L(x * a(y \ 1,z,x),z,y) = a(y,z,x) \ a(z,z,a(y,x,x)).
(x * a(y \ 1,z,x)) \ L(x * a(y \ 1,z,x),z,y) = x \ L(x,z,y).
(a(x,y,z) \ z) \ L(z * a(x \ 1,y,z),y,x) = z \ L(z,y,x).
(a(x,y,z) \ z) \ L(a(x,y,z) \ z,y,x) = z \ L(z,y,x).
L(L(x,x,y),L(x,x,y),(R(x,x,z) * u) \ L(x,x,y)) = a(u * a(y,x,x),x,x) * L(x,x,y).
L(L(x,x,y),L(x,x,y),(R(x,x,z) * u) \ L(x,x,y)) = a(u,x,x) * L(x,x,y).
a(x,y,y) * L(y,y,z) = L(L(y,y,(R(y,y,u) * x) \ L(y,y,z)),y,z).
L(L(x,x,(R(x,x,y) * z) \ L(x,x,u)),x,u) = a(z,x,x) * L(x,x,u).
L(L(x,x,(R(x,x,y) * z) \ x),x,u) = a(z,x,x) * L(x,x,u).
L(a(x,y,y) * y,y,z) = a(x,y,y) * L(y,y,z).
L(a(x,y,y) * y,y,L(x,z,u)) = y * a(u,z,a(x,y,y)).
x * L(a(y,z,a(u,w,w)),w,w \ x) = (x / w) * L(a(u,w,w) * w,w,L(u,z,y)).
(x / y) * L(a(z,y,y) * y,y,L(z,u,w)) = x * L(a(w,u,a(z,y,y)),y,y \ x).
(x / y) * L(a(z,y,y) * y,y,L(z,u,w)) = x * a(w,u,a(z,y,L(y,y,y \ x))).
(x / y) * L(a(z,y,y) * y,y,L(z,u,w)) = x * a(w,u,a(z,y,y)).
(x / y) * (y * a(z,u,a(w,y,y))) = x * a(z,u,a(w,y,y)).
(x / y) * L(y,y \ L(y,z,u),w) = x * a(u,z,a(w,y,y)).
a(L(R(1 / x,x,x \ y),L(1 / x,x,x \ y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
a(x,(1 / y) \ (y \ z),L((1 / y) \ (y \ z),y \ z,u)) = a(x,(y \ 1) \ (y \ z),L(L(z,y,y),y \ 1,u)).
a(L(R(1 / x,x,x \ y),L(x \ 1,x,x \ y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
a(x,(1 / y) \ (y \ z),L((1 / y) \ (y \ z),y \ z,u)) = a(x,L(z,y,y),L(L(z,y,y),y \ 1,u)).
a(x,(1 / y) \ (y \ z),L((1 / y) \ (y \ z),y \ z,u)) = a(x,z,L(z,y \ 1,u)).
a(x \ y,(1 / x) \ (x \ y),L((1 / x) \ (x \ y),x \ y,z)) = a(x \ y,y,L(y,x,z)).
a(x \ y,y,L(y,x,z)) = a(x \ y,(1 / x) \ (x \ y),L((x \ 1) \ (x \ y),x \ y,z)).
a(x \ y,(1 / x) \ (x \ y),L((x \ 1) \ (x \ y),x \ y,z)) = a(x \ y,y,L(y,x,z)).
a(x \ y,y,L(y,x,z)) = a(x \ y,(1 / x) \ (x \ y),L(L(y,x,x),x \ y,z)).
a(x \ y,(1 / x) \ (x \ y),L(L(y,x,x),x \ y,z)) = a(x \ y,y,L(y,x,z)).
a(x \ y,y,L(y,x,z)) = a(x \ y,(x \ 1) \ (x \ y),L(L(y,x,x),x \ y,z)).
a(x \ y,(x \ 1) \ (x \ y),L(L(y,x,x),x \ y,z)) = a(x \ y,y,L(y,x,z)).
a(x \ y,y,L(y,x,z)) = a(x \ y,L(y,x,x),L(L(y,x,x),x \ y,z)).
a(x \ y,L(y,x,x),L(L(y,x,x),x \ y,z)) = a(x \ y,y,L(y,x,z)).
a(x \ y,y,L(y,x,z)) = a(x \ y,y,L(y,x \ y,z)).
a(x \ y,y,L(y,x \ y,z)) = a(x \ y,y,L(y,x,z)).
a(a(L(x \ y,z,u),z,u),y,y) = a(a(x \ y,y,L(y,x,z)),z,u).
a(a(L(x \ y,z,u),z,u),y,y) = a(a(y,y,L(x,x,z)),z,u).
a(a(x,x,L(y,y,z)),z,u) = a(x,x,a(u,z,y \ x)).
a(x,x,a(y,z,u \ x)) = a(a(y,z,u),x,x).
a(R(x,y,z),R(x,y,z),a(u,w,R(v5 \ x,y,z))) = a(a(u,w,R(v5,y,z)),R(x,y,z),R(x,y,z)).
a(x,x,L(a(y,z,u \ x),w,v5)) = L(a(a(y,z,u),x,x),w,v5).
a(a(x,y,z),u,L(u,w,v5)) = a(u,u,L(a(x,y,z \ u),w,v5)).
a(x,x,L(a(y,z,u \ x),w,v5)) = a(a(y,z,u),x,L(x,w,v5)).
a(R(x,y,z),R(x,y,z),a(u,w,L(v5 \ x,y,z))) = a(a(u,w,R(v5,y,z)),R(x,y,z),R(x,y,z)).
a(a(x,y,R(z,u,w)),R(v5,u,w),R(v5,u,w)) = a(v5,v5,a(x,y,L(z \ v5,u,w))).
a(a(x,y,L(z,u,w)),R(v5,u,w),R(v5,u,w)) = a(v5,v5,a(x,y,L(z \ v5,u,w))).
a(a(x,y,L(z,u,w)),R(v5,u,w),L(v5,u,w)) = a(v5,v5,a(x,y,L(z \ v5,u,w))).
a(a(x,y,L(z,u,w)),L(v5,u,w),L(v5,u,w)) = a(v5,v5,a(x,y,L(z \ v5,u,w))).
a(x,x,a(y,z,L(u \ x,w,v5))) = a(a(y,z,L(u,w,v5)),x,x).
a(L(R(1 / x,x,x \ y),L(1 / x,x,y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
a(L(R(1 / x,x,x \ y),L(x \ 1,x,y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
a(L(L(1 / x,x,x \ y),L(x \ 1,x,y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)) = a(L(L(x \ 1,x,x \ y),L(x \ 1,x,y),y),y,z).
a(L(L(x \ 1,x,x \ y),L(x \ 1,x,y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
a(L(L(1 / x,x,y),L(x \ 1,x,y),y),y,z) = R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)).
a(L(x \ (x / y),y \ 1,x),x,z) = R(1 / y,y,y \ x) \ (((y \ x) * z) / (x * z)).
R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)) = a(L(y \ (x \ y),x \ 1,y),y,z).
a(L(x \ (y \ x),y \ 1,x),x,z) = R(1 / y,y,y \ x) \ (((y \ x) * z) / (x * z)).
R(1 / x,x,x \ y) \ (((x \ y) * z) / (y * z)) = a(x \ 1,y,z).
(x \ R(x,y,z)) * (a(x,x,a(y,y,z)) \ u) = L(a(x,y,z) * u,a(x,y,z),a(a(x,y,z),x,y)).
L(a(x,y,z) * u,a(x,y,z),a(a(x,y,z),x,y)) = (x \ R(x,y,z)) * (a(x,x,a(y,y,z)) \ u).
a(R(x,x \ y,z),R(x,x \ y,z),a(u,w,y * z)) = a(x,x,a(u,w,(x \ y) * z)).
a(x,x,a(y,z,(x \ u) * w)) = a(x,x,a(y,z,u * w)).
a(x,x,a(y,x \ y,y * ((z \ 1) * u))) * y = L(y,x,a(x \ y,x \ y,u * (z \ (x \ y)))).
L(x,y,a(y \ x,y \ x,z * (u \ (y \ x)))) = a(y,y,a(x,y \ x,x * ((u \ 1) * z))) * x.
((x * x) * y) \ ((x * L(x,a(z,u,w),v5)) * y) = a(v5,a(z,u,w),((x * x) * y) \ (y * x)).
a(R(x,y,z) * L(a(u,R(1 / x,y,z),L(1 / x,y,z)),x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
L(((x \ 1) * y) / y,L((x \ y) / y,(x \ y) / y,z),u) = L(R((x \ y) / y,(x \ y) / y,y),(x \ y) / y,u).
L(R((x \ y) / y,(x \ y) / y,y),(x \ y) / y,z) = L(((x \ 1) * y) / y,L((x \ y) / y,(x \ y) / y,u),z).
L(R((x \ y) / y,(x \ y) / y,y),(x \ y) / y,z) = L(x \ 1,L((x \ y) / y,(x \ y) / y,u),z).
L(R((x \ y) / y,(x \ y) / y,y),(x \ y) / y,z) = L(x \ 1,((x \ y) \ y) \ 1,z).
L(R((x \ y) / y,(x \ y) / y,y),(x \ y) / y,z) = L(x \ 1,x \ 1,z).
L((x / (y \ x)) \ 1,(y \ x) / x,z) = L(y \ 1,y \ 1,z).
L(x \ 1,(x \ y) / y,z) = L(x \ 1,x \ 1,z).
L(x \ 1,x \ 1,y) = L(x \ 1,z \ (x \ z),y).
L(x \ 1,y \ (x \ y),z) = L(x \ 1,x \ 1,z).
L(x,y \ ((1 / x) \ y),z) = L((1 / x) \ 1,(1 / x) \ 1,z).
L((1 / x) \ 1,(1 / x) \ 1,y) = L(x,z \ ((1 / x) \ z),y).
L((1 / x) \ 1,(1 / x) \ 1,y) = L(x,z \ ((x \ 1) \ z),y).
L(x,(1 / x) \ 1,y) = L(x,z \ ((x \ 1) \ z),y).
L(x,y \ ((x \ 1) \ y),z) = L(x,(1 / x) \ 1,z).
L(x,y \ ((x \ 1) \ y),z) = L(x,x,z).
L(1 / x,y \ (x \ y),z) = L(1 / x,1 / x,z).
L(1 / x,y \ (x \ y),z) = L(1 / x,x \ 1,z).
R(R(1 / x,y,z) \ L(1 / x,x \ 1,a(z,y,y)),x,u) = a((u / (x * u)) \ 1,y,z).
R(R(1 / x,y,z) \ L(1 / x,x,a(y,y,z)),x,u) = a((u / (x * u)) \ 1,y,z).
R(L(1 / x,x,a(y,y,z)) * R(x,y,z),x,u) = a((u / (x * u)) \ 1,y,z).
R(a(x,y,z),x,u) = a((u / (x * u)) \ 1,y,z).
L(a(x,y,z),x,u) = a((u / (x * u)) \ 1,y,z).
L(a(x,y,z),x,u) = a(((x * u) \ u) \ 1,y,z).
L(a(x,y,z),x,u) = a((u \ (x \ u)) \ 1,y,z).
L(a(a(x,y,z),u,w),a(x,y,z),v5) = a(a(x,y,z),u,w).
a(R(x,y,z) * L(a(u,R(1 / x,y,z),L(x \ 1,y,z)),x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
a(R(x,y,z) * L(a(u,L(1 / x,y,z),L(x \ 1,y,z)),x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
a(R(x,y,z) * L(a(u,L(x \ 1,y,z),L(x \ 1,y,z)),x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
a(R(x,y,z) * L(a(u,x \ 1,x \ 1),x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
a(R(x,y,z) * a(u,x \ 1,x \ 1),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
R(R(1 / x,y,z),u,w) \ R(1 / x,y,z) = a(R(x,y,z) * a(u,x,x),u,w).
a(R(x,y,z) * a(u,x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
a(L(x,y,z) * a(u,x,x),u,w) = R(R(1 / x,y,z),u,w) \ R(1 / x,y,z).
a(L(x,y,z) * a(u,x,x),u,w) = R(R(1 / x,u,w) \ (1 / x),y,z).
R(R(1 / x,y,z) \ (1 / x),u,w) = a(L(x,u,w) * a(y,x,x),y,z).
R(x \ R(x,y,z),u,w) = a(L(x,u,w) * a(y,x,x),y,z).
a(L(x,y,z) * a(u,x,x),u,w) = R(x \ R(x,u,w),y,z).
L(x \ R(x,y,z),u,w) = a(L(x,u,w) * a(y,x,x),y,z).
a(L(x,y,z) * a(u,x,x),u,w) = L(x \ R(x,u,w),y,z).
L(x \ R(x,y,L(z,L(x,u,w),y)),u,w) = a(L(x,u,w),y,z).
L(L(x \ R(x,y,z),L(x,u,w),y),u,w) = a(L(x,u,w),y,z).
L(L(x \ R(x,y,z),x,L(y,u,w)),u,w) = a(L(x,u,w),y,z).
T(L(L(x,y,z) \ x,u,w),(L(x,y,z) \ x) \ 1) = ((L(x,y,z) \ x) \ 1) \ a(w,u,x \ L(x,y,z)).
((L(x,y,z) \ x) \ 1) \ a(u,w,x \ L(x,y,z)) = T(L(L(x,y,z) \ x,w,u),(L(x,y,z) \ x) \ 1).
((L(x,y,z) \ x) \ 1) \ a(u,w,x \ L(x,y,z)) = T(L(L(x,y,z) \ x,w,u),x \ L(x,y,z)).
((L(x,y,z) \ x) \ 1) \ a(u,w,x \ L(x,y,z)) = L(L(x,y,z) \ x,w,u).
(x \ L(x,y,z)) \ a(u,w,x \ L(x,y,z)) = L(L(x,y,z) \ x,w,u).
L(L(x,y,z) \ x,u,w) = (L(x,y,z) \ x) * a(w,u,x \ L(x,y,z)).
(L(x,y,z) \ x) * a(u,w,x \ L(x,y,z)) = L(L(x,y,z) \ x,w,u).
L(x,y,z \ L(L(u,w,u) * z,R(1 / L(u,w,u),u,z),L(1 / L(u,w,u),u,z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ L(L(u,w,u) * z,R(1 / L(u,w,u),u,z),L(L(u,w,u) \ 1,u,z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ L(L(u,w,u) * z,R(1 / L(u,w,u),u,z),L(u \ 1,u,z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ L(L(u,w,u) * z,L(1 / L(u,w,u),u,z),L(u \ 1,u,z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ L(L(u,w,u) * z,L(L(u,w,u) \ 1,u,z),L(u \ 1,u,z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ L(L(u,w,u) * z,L(u \ 1,u,z),L(u \ 1,u,z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ L(L(u,w,u) * z,u \ 1,u \ 1)) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ ((u \ 1) \ (u \ (L(u,w,u) * z)))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ ((u \ 1) \ (a(u,w,u) \ z))) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,z \ ((L(u,w,u) \ 1) \ z)) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,R(1 / L(z,u,z),z,w) \ 1) = L(x,y,w \ ((L(z,u,z) \ 1) \ w)).
L(x,y,R(1 / L(z,u,z),z,w) \ 1) = L(x,y,L(w \ ((z \ 1) \ w),u,z)).
L(x,y,L(z \ ((u \ 1) \ z),w,u)) = L(x,y,R(1 / L(u,w,u),u,z) \ 1).
L(x,y,R(1 / L(z,u,z),z,w) \ 1) = L(x,y,L(z,z,w \ 1)).
L(x,y,R(L(z,u,z),z,w)) = L(x,y,L(z,z,w \ 1)).
L(x,y,L(L(z,z,u),w,z)) = L(x,y,L(z,z,u \ 1)).
L(x,y,L(z,z,u)) = L(x,y,L(z,z,u \ 1)).
L(x,y,L(z,z,u \ 1)) = L(x,y,L(z,z,u)).
a(L(x,x,y \ 1),z,u) = L(L(u,z,L(x,x,y)) \ u,u,z).
L(L(x,y,L(z,z,u)) \ x,x,y) = a(L(z,z,u \ 1),y,x).
a(L(x,x,y),z,u) = a(L(x,x,y \ 1),z,u).
a(L(x,x,y \ 1),z,u) = a(L(x,x,y),z,u).
a(L(x,x,y),z,u) = a(y \ ((x \ 1) \ y),z,u).
a(x \ ((y \ 1) \ x),z,u) = a((x \ (y \ x)) \ 1,z,u).
a((x \ (y \ x)) \ 1,z,u) = a(x \ ((y \ 1) \ x),z,u).
a(x \ (((y \ 1) \ 1) \ x),z,u) = a((x \ 1) \ (y \ (x \ 1)),z,u).
a((x \ 1) \ (y \ (x \ 1)),z,u) = a(x \ (((y \ 1) \ 1) \ x),z,u).
a((x \ 1) \ (y \ (x \ 1)),z,u) = a(x \ (y \ x),z,u).
a(x,x,L(y,z,u) \ y) * (L(R(y,z,u) \ y,w,x) \ (R(y,z,u) \ y)) = L(L(R(y,z,u) \ y,w,x),x,x) \ (R(y,z,u) \ y).
a(R(x,y,y \ 1) * (z \ ((x * y) \ 1)),R(x,y,y \ 1),L(x,y,y \ 1)) = a(z \ (y \ 1),R(x,y,y \ 1),R(x,y,y \ 1)).
((x * y) * (a(z * z,u,u) * w)) / ((y * a(z * z,u,u)) * (T(x,y) * w)) = a(y * a(z * z,u,u),x,w).
((x * y) * (a(z * z,u,u) * w)) / (a(z * z,u,u) * (y * (T(x,y) * w))) = a(y * a(z * z,u,u),x,w).
a(x * a(y * y,z,z),u,w) = a(y * y,z,z) * (((u * x) * w) / (a(y * y,z,z) * (x * (T(u,x) * w)))).
a(x * x,y,y) * (((z * u) * w) / (a(x * x,y,y) * (u * (T(z,u) * w)))) = a(u * a(x * x,y,y),z,w).
a(x * a(y * y,z,z),u,w) = ((u * x) * w) / (x * (T(u,x) * w)).
a(x,y,z) = a(x * a(u * u,w,w),y,z).
a(x * a(y * y,z,z),u,w) = a(x,u,w).
a(x,y,z) = a(a(u * u,w,w) * x,y,z).
a(a(x * x,y,y) * z,u,w) = a(z,u,w).
L(x,y,z * a(u * u,w,w)) = (a(z,y,x) * y) \ (y * x).
a((a(x,y,y) \ x) \ z,u,w) = a(R(x,y,y) \ z,u,w).
a(L(x,y,y * y),z,u) = a(x,z,u).
L(x,y,L(z,u,u * u)) = (a(z,y,x) * y) \ (y * x).
a((x * x) * y,z,u) = a(x * ((x \ 1) \ y),z,u).
a(x * ((x \ 1) \ y),z,u) = a((x * x) * y,z,u).
a(a(x,x,y * y) * z,u,w) = a(z,u,w).
L(x,y,a(z,z,u * u) * w) = (a(w,y,x) * y) \ (y * x).
a((x * x) * y,z,u) = a(((x \ 1) \ y) * x,z,u).
a(((x \ 1) \ y) * x,z,u) = a((x * x) * y,z,u).
a(((x \ y) * (x \ y)) * x,z,u) = a(x \ (y * y),z,u).
a((x \ 1) \ (y * x),z,u) = a((x * x) * y,z,u).
a((x * x) * (x \ y),z,u) = a((x \ 1) \ y,z,u).
a((a(x,y,y) * a(x,y,y)) * (z / (L(y,y,x) \ 1)),u,w) = a((a(x,y,y) \ 1) \ (z / (y \ 1)),u,w).
L(x,y,z) = L(x,y,L(z,u,u * u)).
L(x,y,L(z,u,u * u)) = L(x,y,z).
L(x,y,(z \ 1) * u) = L(x,y,L(z \ u,z,z)).
L(x,y,L(z \ u,z,z)) = L(x,y,(z \ 1) * u).
L(x,y,(z \ 1) * u) = L(x,y,(z * z) \ (u * z)).
L(x,y,(z * z) \ (u * z)) = L(x,y,(z \ 1) * u).
L(x,y,L(y,z,L(u \ w,u,u))) = L(x,y,L(y,z,u * (w \ 1))).
L(x,y,(z \ 1) * (u * z)) = L(x,y,L(u,z,z)).
L(x,y,L(z,u,u)) = L(x,y,L(z,u,u \ 1)).
L(x,y,L(z,u,u \ 1)) = L(x,y,L(z,u,u)).
L(x,y,L(z * u,u,u)) = L(x,y,(u * u) * (u \ z)).
L(x,y,(z * z) * (z \ u)) = L(x,y,L(u * z,z,z)).
L(x,y,L((z \ (u \ z)) \ w,u,u)) = L(x,y,w * L(u,u,z)).
L(x,y,(z * z) * (z \ u)) = L(x,y,(z \ 1) \ u).
L(x,y,(a(z,z,u) * a(z,z,u)) * (w / R(z,z,u))) = L(x,y,(a(z,z,u) \ 1) \ (w / z)).
L(x,y,(a(z,z,L(u,w,v5)) * a(z,z,L(u,w,v5))) * (a(z,z,L(u,w,v5)) \ v6)) = L(x,y,(L(u \ L(u,z,z),w,v5) * 1) \ v6).
a(R(x,y,y) \ z,u,w) = a((x * a(y,y,x)) \ z,u,w).
a((x * a(y,y,x)) \ z,u,w) = a(R(x,y,y) \ z,u,w).
a(x \ (y * y),z,u) = a(((y \ x) \ 1) * y,z,u).
a(((x \ y) \ 1) * x,z,u) = a(y \ (x * x),z,u).
a((x \ 1) * y,z,u) = a((y * x) \ (y * y),z,u).
a((x * y) \ (x * x),z,u) = a((y \ 1) * x,z,u).
a(L(x \ y,x,x),z,u) = a((x \ 1) * y,z,u).
a(L((L(x,y,z) \ 1) \ u,L(x,y,z) \ 1,L(x,y,z) \ 1),w,v5) = a(L((x \ 1) \ 1,y,z) * u,w,v5).
a((x \ 1) * (((1 / x) * (y \ 1)) \ 1),z,u) = a(L(y,x,x),z,u).
a(L(x,y,y) \ z,u,w) = a((x * a(y,y,x)) \ z,u,w).
a((x * a(y,y,x)) \ z,u,w) = a(L(x,y,y) \ z,u,w).
a(L(x,y,y \ 1) \ z,u,w) = a(L(x,y,y) \ z,u,w).
a(((x * (y \ 1)) * y) \ z,u,w) = a(L(x,y,y) \ z,u,w).
L(x,y,z) = L(x,y,z * a(u * u,w,w)).
L(x,y,z * a(u * u,w,w)) = L(x,y,z).
L(x,y,(a(z,u,u) \ z) \ w) = L(x,y,R(z,u,u) \ w).
L(x,y,R(z,u,u) \ w) = L(x,y,(z * a(u,u,z)) \ w).
L(x,y,(z * a(u,u,z)) \ w) = L(x,y,R(z,u,u) \ w).
L(x,y,L(z,u,u) \ w) = L(x,y,(z * a(u,u,z)) \ w).
L(x,y,(z * a(u,u,z)) \ w) = L(x,y,L(z,u,u) \ w).
L(x,y,(z * a(u,u,T(z,w))) \ (z * (w * z))) = L(x,y,L(T(z,w),u,u) \ (z * (z * w))).
L(x,y,L(z,u,u \ 1) \ w) = L(x,y,L(z,u,u) \ w).
L(x,y,L(z \ u,z,z \ 1) \ w) = L(x,y,((z * z) \ (z * u)) \ w).
L(x,y,L(z,u,u) \ (w * (u \ 1))) = L(x,y,R(z \ (w / u),u,u \ 1)).
L(x,y,R(z \ (u / w),w,w \ 1)) = L(x,y,L(z,w,w) \ (u * (w \ 1))).
L(x,y,L(z,u,u) \ (((u * z) * w) * (u \ 1))) = L(x,y,L(w,u * z,u \ 1)).
L(x,y,z) = L(x,y,a(u,u,w * w) * z).
L(x,y,a(z,z,u * u) * w) = L(x,y,w).
a(L(x,y,y),z,u) = a((y \ 1) * (((y \ 1) * (x \ 1)) \ 1),z,u).
a((x \ 1) * (((x \ 1) * (y \ 1)) \ 1),z,u) = a(L(y,x,x),z,u).
a(L(x,y,y),z,u) = a(L(x,y \ 1,(y \ 1) \ 1),z,u).
a(L(x,y \ 1,(y \ 1) \ 1),z,u) = a(L(x,y,y),z,u).
a(L(x,y \ 1,y),z,u) = a(L(x,y,y),z,u).
a(L(x,y,y),z,u) = a(L(x,y,y \ 1),z,u).
a(L(x,y,y \ 1),z,u) = a(L(x,y,y),z,u).
a((x * (y \ 1)) * y,z,u) = a(L(x,y,y),z,u).
L(x,y,((1 / z) * u) \ w) = L(x,y,((z * z) \ (z * u)) \ w).
L(x,y,((z * z) \ (z * u)) \ w) = L(x,y,((1 / z) * u) \ w).
L(x,y,((z * z) \ (z * u)) \ w) = L(x,y,((z \ 1) * u) \ w).
L(x,y,L(z \ u,z,z) \ w) = L(x,y,((z \ 1) * u) \ w).
L(x,y,L(z \ (u / w),w,w \ 1)) = L(x,y,L(z,w,w) \ (u * (w \ 1))).
L(x,y,L(z,u,u) \ (w * (u \ 1))) = L(x,y,L(z \ (w / u),u,u)).
L(x,y,L(z,u,u) \ (w * (u \ 1))) = L(x,y,L(z \ (u \ w),u,u)).
L(x,y,L(z,u * w,u \ 1)) = L(x,y,L(w \ (u \ ((u * w) * z)),u,u)).
L(x,y,L(z \ (u \ ((u * z) * w)),u,u)) = L(x,y,L(w,u * z,u \ 1)).
L(x,y,L(L(z,u,w \ 1),w,w)) = L(x,y,L(z,w * u,w \ 1)).
L(x,y,L(L(z,u,u),w,u \ 1)) = L(x,y,L(z,u * w,u \ 1)).
L(x,y,a(z * z,z,u) * (w / R(z,z,u))) = L(x,y,(a(z,z,u) \ 1) \ (w / z)).
L(x,y,(a(z,z,u) \ 1) \ (w / z)) = L(x,y,a(z * z,z,u) * (R(z,z,u) \ w)).
L(x,y,a(z * z,z,u) * (R(z,z,u) \ w)) = L(x,y,(a(z,z,u) \ 1) \ (w / z)).
L(x,y,(z * a(u,u,z)) \ (z * (w * z))) = L(x,y,L(T(z,w),u,u) \ (z * (z * w))).
L(x,y,L(T(z,u),w,w) \ (z * (z * u))) = L(x,y,(z * a(w,w,z)) \ (z * (u * z))).
L(x,y,L(T(z,u),w,w) \ (z * (z * u))) = L(x,y,z \ ((a(w,w,z) \ z) * (u * z))).
L(x,y,L(T(z,u),w,w) \ (z * (z * u))) = L(x,y,z \ (L(z,w,w) * (u * z))).
L(x,y,L(T(z,u),w,w) \ (z * (z * u))) = L(x,y,z \ (z * (u * L(z,w,w)))).
L(x,y,L(T(z,u),w,w) \ (z * (z * u))) = L(x,y,u * L(z,w,w)).
L(x,y,z * (L(T(z,u),w,w) \ (z * u))) = L(x,y,u * L(z,w,w)).
L(x,y,z * (L(z,u,u) \ (w * z))) = L(x,y,w * L(z,u,u)).
L(x,y,z * L(u,w,w \ 1)) = L(x,y,z * L(u,w,w)).
L(x,y,z * ((1 / u) * w)) = L(x,y,z * L(u \ w,u,u)).
L(x,y,z * L(u \ w,u,u)) = L(x,y,z * ((1 / u) * w)).
L(x,y,z * L(u,w,w)) = L(x,y,L(u,w,w \ 1) * z).
L(x,y,L(z,u,u \ 1) * w) = L(x,y,w * L(z,u,u)).
L(x,y,z * L(u * w,u,u)) = L(x,y,z * (L(u,u,w) * w)).
L(x,y,R(1 / z,z,L(u,w,w \ 1)) * L(u,w,w)) = L(x,y,z \ L(u,w,w \ 1)).
L(x,y,z * L(u \ w,u,u)) = L(x,y,z * ((u \ 1) * w)).
L(x,y,z * (L(u,u,w) * w)) = L(x,y,z * ((u \ 1) \ w)).
L(x,y,(z \ (u * (z * z))) * w) = L(x,y,w * ((z \ 1) \ u)).
L(x,y,z * ((u \ 1) \ (w * u))) = L(x,y,(w * (u * u)) * z).
L(x,y,(z * (u * u)) * w) = L(x,y,w * (u * ((u \ 1) \ z))).
L(x,y,z * (u * ((u \ 1) \ w))) = L(x,y,(w * (u * u)) * z).
L(x,y,((z \ u) * (z * z)) * w) = L(x,y,w * ((z \ 1) \ u)).
L(x,y,((R(T(z,u),z,w) \ v5) * (a(z,z,w) * a(z,z,w))) * v6) = L(x,y,v6 * ((a(z,z,w) \ 1) \ (T(z,u) \ v5))).
L(x,y,R(1 / z,z,L(u,w,w)) * L(u,w,w)) = L(x,y,z \ L(u,w,w \ 1)).
L(x,y,L((1 / z) * L(u,w,w),z,L(u,w,w))) = L(x,y,z \ L(u,w,w \ 1)).
L(x,y,T(L(z,u,u) / w,L(z,u,u))) = L(x,y,w \ L(z,u,u \ 1)).
L(x,y,z \ L(u,w,w \ 1)) = L(x,y,L(u,w,w) / z).
L(x,y,z \ L(u,w,w \ 1)) = L(x,y,z \ L(u,w,w)).
a(x \ L(y,z,z \ 1),u,w) = L(L(w,u,x \ L(y,z,z)) \ w,w,u).
L(L(x,y,z \ L(u,w,w)) \ x,x,y) = a(z \ L(u,w,w \ 1),y,x).
a(x \ L(y,z,z),u,w) = a(x \ L(y,z,z \ 1),u,w).
a(x \ L(y,z,z \ 1),u,w) = a(x \ L(y,z,z),u,w).
a(x \ (a(y,y,z) * z),u,w) = a(x \ L(z,y,y),u,w).
a(L(x \ a(y,y,z),x,z),u,w) = a((z * x) \ L(z,y,y),u,w).
a(a(x * x,y,y) * (z / (L(y,y,x) \ 1)),u,w) = a((a(x,y,y) \ 1) \ (z / (y \ 1)),u,w).
a((a(x,y,y) \ 1) \ (z / (y \ 1)),u,w) = a(a(x * x,y,y) * ((L(y,y,x) \ 1) \ z),u,w).
a(a(x * x,y,y) * ((L(y,y,x) \ 1) \ z),u,w) = a((a(x,y,y) \ 1) \ (z / (y \ 1)),u,w).
a((a(x,y,y) \ 1) \ (z / (y \ 1)),u,w) = a((L(y,y,x) \ 1) \ z,u,w).
a(L(x \ 1,x,y) \ z,u,w) = a((a(y,x,x) \ 1) \ (z / (x \ 1)),u,w).
a((a(x,y,y) \ 1) \ (z / (y \ 1)),u,w) = a(L(y \ 1,y,x) \ z,u,w).
a(a(x \ 1,y,y) \ (z / (y \ 1)),u,w) = a(L(y \ 1,y,x) \ z,u,w).
a(x / (L(y,y,z \ 1) \ 1),u,w) = a(L(y \ 1,y,z) \ x,u,w).
a(L(x \ 1,x,y) \ z,u,w) = a((L(x,x,y \ 1) \ 1) \ z,u,w).
a((L(x,x,y \ 1) \ 1) \ z,u,w) = a(L(x \ 1,x,y) \ z,u,w).
a(L((L(x,y,z) \ 1) \ u,L(x,y,z) \ 1,L(x \ 1,y,z)),w,v5) = a(L((x \ 1) \ 1,y,z) * u,w,v5).
a(L((L(x,y,z) \ 1) \ u,L(x \ 1,y,z),L(x \ 1,y,z)),w,v5) = a(L((x \ 1) \ 1,y,z) * u,w,v5).
a(L((L(x,y,z) \ 1) \ u,x \ 1,x \ 1),w,v5) = a(L((x \ 1) \ 1,y,z) * u,w,v5).
a((x \ 1) \ (x \ ((L(x,y,z) \ 1) \ u)),w,v5) = a(L((x \ 1) \ 1,y,z) * u,w,v5).
a(L((x \ 1) \ 1,y,z) * u,w,v5) = a(L((L(x,y,z) \ 1) \ u,x,x),w,v5).
a(L((L(x,y,z) \ 1) \ u,x,x),w,v5) = a(L((x \ 1) \ 1,y,z) * u,w,v5).
a(L((L(x,y,z) \ 1) \ u,x,x),w,v5) = a(L(x,y,z) * u,w,v5).
L(x,y,((R(T(z,u),z,w) \ v5) * a(z * z,z,w)) * v6) = L(x,y,v6 * ((a(z,z,w) \ 1) \ (T(z,u) \ v5))).
L(x,y,a(z * z,z,u) * ((R(T(z,w),z,u) \ v5) * v6)) = L(x,y,v6 * ((a(z,z,u) \ 1) \ (T(z,w) \ v5))).
L(x,y,a(z * z,z,L(u,w,v5)) * (a(z,z,L(u,w,v5)) \ v6)) = L(x,y,(L(u \ L(u,z,z),w,v5) * 1) \ v6).
L(x,y,a(z * z,z,u) * (a(z,z,L(u,w,v5)) \ v6)) = L(x,y,(L(u \ L(u,z,z),w,v5) * 1) \ v6).
L(x,y,(L(z \ L(z,u,u),w,v5) * 1) \ v6) = L(x,y,a(u * u,u,z) * (v6 * a(L(z,w,v5),u,u))).
L(x,y,a(z * z,z,u) * (w * a(L(u,v5,v6),z,z))) = L(x,y,(L(u \ L(u,z,z),v5,v6) * 1) \ w).
L(x,y,a(z * z,z,u) * (w * a(u,z,L(z,v5,v6)))) = L(x,y,(L(u \ L(u,z,z),v5,v6) * 1) \ w).
a(R(x,y,y \ 1) * (z \ ((x * y) \ 1)),L(x,y,y \ 1),L(x,y,y \ 1)) = a(z \ (y \ 1),R(x,y,y \ 1),R(x,y,y \ 1)).
a(x \ (y \ 1),R(z,y,y \ 1),R(z,y,y \ 1)) = a(R(z,y,y \ 1) * (x \ ((z * y) \ 1)),z,z).
a(x \ (y \ 1),R(z,y,y \ 1),R(z,y,y \ 1)) = a(z * (x \ ((z * y) \ 1)),z,z).
a(x \ (y \ 1),R(z,y,y \ 1),R(z,y,y \ 1)) = a(x \ ((z * y) \ z),z,z).
a(x \ ((y * z) \ y),y,y) = a(x \ (z \ 1),R(y,z,z \ 1),R(y,z,z \ 1)).
a(x \ (y \ 1),R(z,y,y \ 1),R(z,y,y \ 1)) = a(x \ (z \ (y \ z)),z,z).
a(x \ (y \ (z \ y)),y,y) = a(x \ (z \ 1),R(y,z,z \ 1),R(y,z,z \ 1)).
a(x \ (y \ 1),R(z,y,y \ 1),L(z,y,y \ 1)) = a(x \ (z \ (y \ z)),z,z).
a(x \ (y \ (z \ y)),y,y) = a(x \ (z \ 1),R(y,z,z \ 1),L(y,z,z \ 1)).
a(x \ (y \ 1),L(z,y,y \ 1),L(z,y,y \ 1)) = a(x \ (z \ (y \ z)),z,z).
a(x \ (y \ (z \ y)),y,y) = a(x \ (z \ 1),L(y,z,z \ 1),L(y,z,z \ 1)).
a(x \ (y \ (z \ y)),y,y) = a(x \ (z \ 1),y,y).
L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y)) \ a(x,y,z)) = (((x \ R(x,y,z)) / x) * R(x,y,z)) / a(x,y,z).
L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y)) \ a(x,y,z)) = (x \ (x \ R(x * x,y,z))) / a(x,y,z).
L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y)) \ a(x,y,z)) = (x \ (a(x * x,y,z) * x)) / a(x,y,z).
L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y)) \ a(x,y,z)) = a(x * x,y,z) / a(x,y,z).
L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y)) \ a(x,y,z)) = a(x,y,z) \ a(x * x,y,z).
(x \ L(x,y,z)) * L(a(u,w,a(z,y,x)),a(z,y,x),a(y,y,a(z,x,x))) = L(a(z,y,x),w,u) \ a(y,y,a(z,x,x)).
(x \ L(x,y,z)) * a(u,w,a(z,y,x)) = L(a(z,y,x),w,u) \ a(y,y,a(z,x,x)).
L(a(x,y,z),u,w) \ a(y,y,a(x,z,z)) = (z \ L(z,y,x)) * a(w,u,a(x,y,z)).
L(x * R(L(y \ L(y,z,u),w,v5) * 1,v6,v7),L(L(y,z,u) \ y,w,v5),L(L(y,z,u) \ y,w,v5)) = R(L(L(y,z,u) \ y,w,v5),v6,v7) \ T(x,L(y \ L(y,z,u),v8,v9) * 1).
(L(x,y,z) \ x) * (L(u,w,v5) \ u) = ((L(u,w,v5) \ u) * a(z,y,x)) * (a(z,y,x) \ (L(x,y,z) \ x)).
((L(x,y,z) \ x) * a(u,w,v5)) * (a(u,w,v5) \ (L(v5,w,u) \ v5)) = (L(v5,w,u) \ v5) * (L(x,y,z) \ x).
((L(x,y,z) \ x) * a(u,w,x)) * (a(u,w,x) \ (L(x,w,u) \ x)) = L(x,w,u) \ L(x,y,z \ 1).
(x * (L(x,y,z) \ a(u,w,x))) * (a(u,w,x) \ (L(x,w,u) \ x)) = L(x,w,u) \ L(x,y,z \ 1).
(x * (L(x,y,z) \ a(u,w,x))) * a(w,w,a(u,x,x)) = L(x,w,u) \ L(x,y,z \ 1).
L(x,y,z) \ L(x,u,w \ 1) = x * ((L(x,u,w) \ a(z,y,x)) * a(y,y,a(z,x,x))).
x * ((L(x,y,z) \ a(u,w,x)) * a(w,w,a(u,x,x))) = L(x,w,u) \ L(x,y,z \ 1).
L(x,y,z) \ L(x,u,w \ 1) = L(x,x,a(z,y,y)) * (L(x,u,w) \ a(z,y,x)).
L(x,x,a(y,z,z)) * (L(x,u,w) \ a(y,z,x)) = L(x,z,y) \ L(x,u,w \ 1).
a(L(a(x,y,z),u,w),v5,v6) * a(v5,v5,a(v6,L(a(x,y,z),u,w),L(a(x,y,z),u,w))) = L(a(x,y,z),u,w) \ L(L(a(x,y,z),v5,v6),u,w).
a(L(a(x,y,z),u,w),v5,v6) * a(v5,v5,a(v6,L(a(x,y,z),u,w),L(a(x,y,z),u,w))) = L(a(x,y,z) \ L(a(x,y,z),v5,v6),u,w).
a(L(a(x,y,z),u,w),v5,v6) * a(v5,v5,a(v6,L(a(x,y,z),u,w),L(a(x,y,z),u,w))) = L(a(a(x,y,z),v5,v6),u,w).
a(L(a(x,y,z),u,w),v5,v6) * a(v5,v5,a(v6,a(x,y,z),a(x,y,z))) = L(a(a(x,y,z),v5,v6),u,w).
a(L(a(x,y,z),u,w),v5,v6) * a(v5,v5,1) = L(a(a(x,y,z),v5,v6),u,w).
a(L(a(x,y,z),u,w),v5,v6) * 1 = L(a(a(x,y,z),v5,v6),u,w).
a(L(a(x,y,z),u,w),v5,v6) = L(a(a(x,y,z),v5,v6),u,w).
a(a(x,y,z),u,w) * 1 = L(a(a(x,y,z),u,w),v5,z).
L(a(a(x,y,z),u,w),v5,z) = a(a(x,y,z),u,w) * 1.
a(a(x,y,z),u,w) * 1 = L(a(a(x,y,z),u,w),a(x,y,z),v5).
L(a(a(x,y,z),u,w),a(x,y,z),v5) = a(a(x,y,z),u,w) * 1.
a(a(a(x,y,z),u,w),v5,z) = 1.
L(x,y,a(a(z,u,x),w,v5)) = x.
L(x,y,a(z,u,a(w,v5,x))) = x.
(a(x,y,a(z,u,w)) * v5) * w = (v5 * w) * a(x,y,a(z,u,w)).
a(L(a(x,y,z),u,w),z,v5) = L(a(z,a(x,y,z),v5),u,w).
a(L(a(x,y,z),u,w),v5,v6) = L(a(v6,v5,a(z,y,x)),u,w).
a(x,a(y,z,x),L(u,w,v5)) = a(L(a(y,z,x),w,v5),x,u).
a(L(a(x,y,z),u,w),z,v5) = a(z,a(x,y,z),L(v5,u,w)).
a(a(x,y,z),a(a(x,y,z),u,w),v5) = 1.
L(a(x,y,a(z,u,w)),v5,w) = a(x,y,a(z,u,w)).
a(R(1 / x,x,x \ y),a(x \ 1,y,z),u) = a(z,y,a(u,R(1 / x,x,x \ y),R(1 / x,x,x \ y))).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(R(1 / u,u,u \ y),a(u \ 1,y,x),z).
a(L(1 / x,x,x \ y),a(x \ 1,y,z),u) = a(z,y,a(u,R(1 / x,x,x \ y),R(1 / x,x,x \ y))).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(L(1 / u,u,u \ y),a(u \ 1,y,x),z).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(L(u \ 1,u,u \ y),a(u \ 1,y,x),z).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(L(1 / u,u,y),a(u \ 1,y,x),z).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(L(u \ 1,u,y),a(u \ 1,y,x),z).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(u \ 1,a(u \ 1,y,x),L(z,u,y)).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(u,a(u,y,x),L(z,u,y)).
a(x,y,a(z,R(1 / u,u,u \ y),R(1 / u,u,u \ y))) = a(z,u,a(x,y,u)).
a(x,y,a(z,u \ 1,u \ 1)) = a(z,u,a(x,y,u)).
a(x,y,a(z,u,y)) = a(z,u,a(x,y,y)).
a(x,y,a(z,u,u)) = a(z,u,a(x,y,u)).
a(x \ 1,y,a(z,u,y)) = a(z,u,a(y,y,x)).
x * a(y,z,a(x,u,u)) = L(x,u,a(y,z,u)).
L(x,x \ L(x,y,z),u) = x * a(u,x,a(z,y,x)).
a(x,a(x,y,z),u) = a(z,y,a(u,x,x)).
a(x,y,a(z,u,u)) = a(z,L(u,w,v5),a(x,y,L(u,w,v5))).
a(x,L(y,z,u),a(w,v5,L(y,z,u))) = a(w,v5,a(x,y,y)).
a(x,y,a(z,u,y)) = a(z,u,a(y,y,x)).
a(x,y,a(z,u,u)) \ w = a(z,u,a(u,y,x)) * w.
(x \ y) * a(z,u,a(w,x,x)) = L(x,a(z,u,x),w) \ y.
a(x,a(x,y,z),L(u,w,v5)) = a(z,y,a(u,x,L(x,w,v5))).
a(a(x,x,y),z,u) = a(x,a(x,z,u),y).
a(x,a(x,y,z),u) = a(z,y,a(x,x,u)).
a(x,y,a(z,z,u)) * z = L(z,a(z,y,x),u).
a(x,a(y,z,u),a(w,w,v5)) = 1.
L(a(x,x,y),a(z,u,w),v5) = a(x,x,y).
a(a(x,y,y \ x),z,u) = a(y,a(y,z,u),x).
a(x,a(x,y,z),L(u,u,z * y)) = a(x,x,a(u,y,z)).
a(x,x,L(y \ R(y,z,u),w,v5)) = a(x,a(x,z,u),L(y,w,v5)).
(x / a(y,z,u)) * L(a(y,z,u),u,z * y) = x * a(z,z,a(y,u,u)).
a(x,y,a(z,z,u)) = a(a(x,y,z),z,u).
a(a(x,y,z),z,u) = a(x,y,a(z,z,u)).
a(x,y,a(z,z,u)) = a(u,z,a(z,y,x)).
a(x,y,a(z,z,u)) * w = w * a(u,z,a(z,y,x)).
a(a(x,y,y),z,u) = a(x,y,a(y,z,u)).
a(x,y,a(z,z,u)) * u = L(u,z,a(z,y,x)).
x * a(y,z,a(u,u,x)) = L(x,u,a(u,z,y)).
a(x,y,a(z,z,L(u,w,v5))) = a(u,L(z,w,v5),a(z,y,x)).
a(x,L(y,z,u),a(y,w,v5)) = a(v5,w,a(y,y,L(x,z,u))).
a(x,y,a(z,u,u)) = a(z,u,a(u,y,x)).
a(x,y,a(z,u,y)) = a(x,y,a(y,u,z)).
a(x,a(x,y,z),u) = a(u,x,a(x,y,z)).
a(x,y,y) \ a(x,y,L(y,z,u)) = a(x,y,a(y,z,u)).
a(x,x,L(y,z,u) \ y) = a(y,x,a(x,z,u)).
a(x,y,a(y,z,u)) * L(x,z,u) = x * L(x \ L(x,z,u),y,y).
(a(x,y,a(z,u,u)) \ u) * a(u,y,x) = u * L(a(u,y,x),u,z).
x * a(x,y,a(y,z,u)) = L(x,y,a(u,z,y)).
x * a(y,x,a(x,z,u)) = L(x,a(x,z,u),y).
a(x,y,z) * a(u,z,a(x,y,z)) = L(a(x,y,z),z,u).
x * a(y,a(y,z,u),x) = L(x,y,a(y,z,u)).
a(x,y,z) \ a(x,a(x,y,z),u) = L(a(x \ 1,y,z),x,u).
L(L(x,y,a(y,z,u)),y,y) = L(x,y,L(y,z,u)).
(1 / x) \ L(y,x,a(x,z,u)) = x * L(y,x,L(x,z,u)).
L(x,y,a(z,u,y)) = L(x,y,a(y,u,z)).
L(L(x,y,a(y,z,u)),y,a(y,z,u)) = x.
a(x,y,z) * (x * L(u,x,a(x,y,z))) = (a(x,y,z) * x) * u.
L(a(x,y,z) * u,z,a(x,y,z)) = z \ ((z * a(x,y,z)) * u).
L(a(x,y,z),x,u) = L(x,a(x,y,z),u) \ (x * a(x,y,z)).
L(x,a(x,y,z),u) \ (x * a(x,y,z)) = L(a(x,y,z),x,u).
L(x,a(x,y,z),u) = L(x,a(z,y,x),u).
L(x,a(y,z,x),u) = L(x,a(x,z,y),u).
L(x,a(x,y,z),u \ 1) = L(x,a(x,y,z),u).
x * 1 = L(x,a(y,z,u),a(a(y,z,u),w,v5)).
L(x,a(y,z,u),a(a(y,z,u),w,v5)) = x * 1.
L(x,a(x,y,z),u * (w \ 1)) = L(x,a(x,y,z),(u \ 1) * w).
L(x,a(x,y,z),(u \ 1) * w) = L(x,a(x,y,z),u * (w \ 1)).
x = L(x,a(y,z,u),a(a(y,z,u),w,v5)).
L(x,a(y,z,u),a(a(y,z,u),w,v5)) = x.
L(L(x,y,y \ 1),y,L(y,z,u)) = L(x,y,a(y,z,u)).
a(x,y,L(z,y,L(y,u,w))) = a(x,y,L(z,y,a(y,u,w))).
a(x,y,L(z,y,a(y,u,w))) = a(x,y,L(z,y,L(y,u,w))).
L(x,x \ L(x,y,z),u) = L(x,a(x,y,z),u).
L(x,a(x,y,z),L(u,w,v5)) = L(x,x,L(u \ L(u,y,z),w,v5)).
L(x,x,L(y \ L(y,z,u),w,v5)) = L(x,a(x,z,u),L(y,w,v5)).
(x / y) * L(y,a(y,z,u),w) = x * a(u,z,a(w,y,y)).
R(x * y,L(z,y,x),a(u,w,a(w,v5,v6))) \ ((x * (y * z)) * a(u,w,a(w,v5,v6))) = a(v6,v5,a(w,w,u)) * L(z,y,x).
a(x,y,y) \ a(x,y,L(y,z,u)) = a(x,y,a(y,z * y,u)).
L(a(x,y,z),z,u) = L(a(x,y,z),z,u \ 1).
L(a(x,y,z),z,u \ 1) = L(a(x,y,z),z,u).
a(x,a(y,z,u),L(w,w,v5 \ 1)) = L(a(x,a(y,z,u),w),w,v5).
L(L(x,y,y \ 1),y,L(y,z,L(u \ w,u,u))) = L(x,y,a(y,z,L(u \ w,u,w))).
L(x,a(y,z,x),u) \ R(x,z,y) = L(x \ R(x,z,y),x,u).
a(x,y,a(z,u,L(u,w,v5))) = a(z,L(u,w,v5),a(u,y,x)).
a(x,L(y,z,u),a(y,w,v5)) = a(v5,w,a(x,y,L(y,z,u))).
L((1 / x) \ y,x,a(x,z,u)) = x * L(y,x,L(x,z,u)).
a(x,y,L(z,y,a(y,u,w))) = a(x,y,z).
a(x,y,L(z,z,a(y,y,u))) = a(x,y,z).
a(x,y,z) = a(x,y,z * a(z,y,x)).
a(x,y,z * a(z,y,x)) = a(x,y,z).
L(x * a(x,y,z),a(z,y,x),y) = L(x * a(x,y,z),x * a(x,y,z),a(z,y,y)).
L(x * a(x,y,z),x * a(x,y,z),a(z,y,y)) = L(x * a(x,y,z),a(z,y,x),y).
x * (y * a(z,u,a(w,x,x))) = L(x,a(x,u,z),w) * y.
a(a(x,y,z),L(z,u,w),v5) = a(x,y,a(v5,z,L(z,u,w))).
(a(x,y,z) / z) \ (a(x,y,z) * u) = z * L(u,z,L(z,y,x)).
L(x,x,y \ L(y,z,u)) = L(x,a(x,z,u),y).
L(L(L(x,y,z),a(L(x,y,z),u,w),v5),y,z \ 1) = L(x,L(x,y,z),v5 \ L(v5,u,w)).
a(x,y,z) * (u * a(x,y,a(L(z,y,x) \ u,z,L(z,y,x)))) = L(z,z,a(x,y,y)) * (L(z,y,x) \ u).
L(a(x \ 1,y,z),x,u) = L(a(x \ 1,y,z),x \ 1,u).
L(a(x \ 1,y,z),x \ 1,u) = L(a(x \ 1,y,z),x,u).
L(a(x \ 1,y,z),x,u) = a((u \ ((x \ 1) \ u)) \ 1,y,z).
L(a(x,y,z),x,u) = x * (L(x,a(x,y,z),u) \ a(x,y,z)).
x * (L(x,a(x,y,z),u) \ a(x,y,z)) = L(a(x,y,z),x,u).
a(x,y,a(y,z * y,u)) = a(x,y,a(y,z,u)).
x * a(x,y,a(y,z,u)) = L(x,y,a(y,z * y,u)).
L(x,y,a(y,z * y,u)) = x * a(x,y,a(y,z,u)).
L(x,y,a(y,z * y,u)) = L(x,y,a(y,z,u)).
L(x,a(x,y,z),u) \ R(x,y,z) = L(x \ R(x,y,z),x,u).
L(a(x \ 1,y,z),x,u) = a((u \ 1) \ (x \ (u \ 1)),y,z).
x * (x \ L(a(x,y,z),x,u \ 1)) = L(a(x,y,z),x,u).
L(a(x,y,z),x,u) = L(a(x,y,z),x,u \ 1).
L(a(x,y,z),x,u \ 1) = L(a(x,y,z),x,u).
x \ ((x * y) * a(y,z,u)) = y * L(a(y,z,u),y,x).
L(a(x \ 1,y,z),x,u) = a(u \ (x \ u),y,z).
a(x \ (y \ x),z,x) = a(y \ 1,z,x).
a((x \ y) \ 1,z,y) = a(y \ x,z,y).
a(a(x \ y,z,x),u,w) = a(a(x,z,y \ x),u,w).
a(a(x,y,z \ x),u,w) = a(w,u,a(x,y,x \ z)).
L(x * a(y,z,u),u,a(y,z,u)) = u \ ((u * a(y,z,u)) * x).
a(x,a(y,z,u),L(w,w,v5)) = a(x,a(y,z,u),L(w,w,v5 \ 1)).
a(x,a(y,z,u),L(w,w,v5 \ 1)) = a(x,a(y,z,u),L(w,w,v5)).
x \ (x * L(y,x,L(x,z,u))) = L(y,x,x * (a(u,z,x) \ 1)).
L(x,y,y * (a(z,u,y) \ 1)) = y \ (y * L(x,y,L(y,u,z))).
a(x,a(y,z,u),L(w,w,v5)) = a(w,a(u,z,y),L(x,w,v5 \ w)).
a(x,a(y,z,u),L(w,x,v5 \ x)) = a(w,a(u,z,y),L(x,x,v5)).
L(x,y,y * (a(z,u,y) \ 1)) = L(x,y,L(y,u,z)).
L(x,y,a(z,u,y) \ y) = L(x,y,L(y,u,z)).
L(x \ L(x,y,L(y,z,u)),x,((y \ 1) * (a(u,z,y) * y)) \ 1) = a(y \ a(u,z,y),y,x).
a(x,a(y,z,u),L(w,w,v5)) = a(x,a(y,z,u),w).
a(x,a(x,y,z),u) = a(x,x,a(u,y,z)).
a(x,x,a(y,z,u)) = a(y,x,a(u,z,x)).
a(x,y,a(z,u,y)) = a(y,y,a(x,u,z)).
a(a(x,y,z),L(x,u,w),v5) = a(x,x,a(L(v5,u,w),y,z)).
a(x,x,a(y,z,u)) = a(u,z,a(y,x,x)).
a(x,y,a(z,u,u)) = a(u,u,a(z,y,x)).
a(a(x,x,y),z,u) = a(x,x,a(y,z,u)).
a(x,x,a(y,z,u)) = a(u,z,a(x,x,y)).
a(x,y,a(z,z,u)) = a(z,z,a(u,y,x)).
a(x,x,a(y,z,u)) = a(y,x,a(x,z,u)).
a(x,y,a(y,z,u)) = a(y,y,a(x,z,u)).
a(a(x,y,y \ x),z,u) = a(y,y,a(x,z,u)).
x * a(y,y,a(x,z,u)) = L(x,y,a(y,z,u)).
a(x,x,a(L(y,z,u),w,v5)) = a(v5,w,a(y,x,L(x,z,u))).
a(x,y,a(z,u,L(u,w,v5))) = a(u,u,a(L(z,w,v5),y,x)).
a(a(x,y,z),u,u) = a(z,u,a(x,y,u)).
a(x,x,a(y,a(z,u,w),v5)) = 1.
a(x,x,a(y \ 1,z,u)) = a(u,z,a(x,x,y)).
a(x,x,a(y,z,a(z,u,w))) = 1.
L(1 / x,x,a(y,a(z,u,w),v5)) = 1 / x.
a(x,x,a(y,y,a(z,u,w))) = 1.
L(a(x,y,a(y,z,u)),w,w) = a(x,y,a(y,z,u)).
a(a(x,y,z),u,a(u,w,w)) = 1.
L(a(x,y,y),x,a(z,u,w)) = a(x,y,y).
(x * a(y,y,a(z,u,w))) \ (x * L(y,y,L(z,u,w))) = L(y,y,z).
a(x,y,a(z,z,u)) * z = L(z,z,a(u,y,x)).
L(x,y,a(y \ x,z,u)) = a(u,z,a(y,y,x)) * x.
a(x,x,a(y,z,u)) * y = L(y,x,a(x,z,u)).
x * a(y,x,a(z,u,x)) = L(x,x,a(y,u,z)).
a(x,x,a(L(y \ 1,z,u),w,v5)) = a(v5,x,a(L(y,z,u),w,x)).
a(L(x,x,a(y,z,u)),w,w) = a(x,w,w).
L(1 / (x \ 1),x \ 1,a(y,a(z,u,w),v5)) = x.
L(x,y,a(y \ x,z,u)) = L(x,y,a(y,z,u)).
a(x,y,a(z,z,u)) = a(a(u,y,x),z,z).
a(a(x,y,z),u,u) = a(z,y,a(u,u,x)).
a(x,y,a(z,z,u)) = a(z,z,a(x,y,u)).
a(x,x,a(y,z,L(u \ x,w,v5))) = a(L(u,w,v5),z,a(x,x,y)).
a(a(x,y,z),u,u) = a(u,u,a(x,y,z)).
a(a(x,y,z),z,u) = a(z,z,a(x,y,u)).
a(x,x,a(y,z,u)) = a(u,x,a(x,z,y)).
a(x,y,a(y,z,u)) = a(y,y,a(u,z,x)).
a(x,y,a(y,z,u)) = a(x,z,a(y,y,u)).
a(x,y,a(z,z,u)) = a(x,z,a(z,y,u)).
a(x,x,a(y,z,u)) \ x = L(x,x,a(y,z,u)).
a(x,y,z) \ (u \ a(x,y,z)) = u \ a(a(z,y,x),u,u).
a(x,y,z) * a(u,u,a(x,y,z)) = L(a(x,y,z),u,u).
a(x,x,a(y,z,u)) = a(x,a(y,z,x),u).
a(x,a(y,z,x),u) = a(x,x,a(y,z,u)).
a(x,x,a(y,z,u)) * x = L(x,a(y,z,x),u).
a(x,y,a(z,z,a(u,w,y))) = 1.
a(x,x,L(y,z,u) \ y) = a(x,x,a(u,z,y)).
a(x,y,a(z,u,u)) = a(x,u,a(u,y,z)).
x * a(y,z,a(z,u,x)) = L(x,z,a(z,u,y)).
a(x,y,z) * 1 = L(a(x,y,z),u,a(u,z,w)).
L(a(x,y,z),u,a(u,z,w)) = a(x,y,z) * 1.
x * a(x,y,a(z,z,u)) = L(x,z,a(u,y,z)).
a(L(a(x,y,z),u,w),z,v5) = a(z,z,a(x,y,L(v5,u,w))).
a(x,a(y,z,x),L(u,u,w)) = a(x,x,a(y,z,u)).
L(x,x,a(y,z,u)) = x * a(u,z,a(x,x,y)).
x * a(y,z,a(x,x,u)) = L(x,x,a(u,z,y)).
L(x,L(x,y,z) \ x,u) = L(x,x,a(u,y,z)).
L(x,x,a(y,z,u)) = L(x,a(x,z,u),y).
L(x,a(x,y,z),u) = L(x,x,a(u,y,z)).
L(x \ y,a(x,z,u),y) = L(x,x,a(y,z,u)) \ y.
L(x,x,a(y,z,u)) \ R(x,z,u) = L(x \ R(x,z,u),x,y).
L(x,x,a((y \ 1) * z,u,w)) = L(x,a(x,u,w),y * (z \ 1)).
L(x,a(x,y,z),u * (w \ 1)) = L(x,x,a((u \ 1) * w,y,z)).
L(x,y,a(y \ x,y \ x,(z \ 1) * u)) = L(x,y,a(y,y \ x,u * ((y \ x) \ (z \ (y \ x))))).
L(x,y,a(y,y \ x,z * ((y \ x) \ (u \ (y \ x))))) = L(x,y,a(y \ x,y \ x,(u \ 1) * z)).
L(x,x,a(y,z,u)) = L(x,x,a(u,z,y)).
L(x,x,a(y,z,u)) * L(w,x,a(u,z,y)) = L(x * w,x,a(u,z,y)).
L(x,a(y,z,x),u) = L(x,x,a(y,z,u)).
x * a(y,x,a(x,z,u)) = L(x,x,a(u,z,y)).
L(x,x,a(y,z,u)) \ R(x,z,y) = L(x \ R(x,z,y),x,u).
a(x,x,a(y,z,u)) * (L(L(u,z,y) \ u,w,x) \ u) = L(L(L(u,z,y) \ u,w,x),x,x) \ u.
a(x,x,a(y,z,u)) * (L(R(u,z,y) \ u,w,x) \ (R(u,z,y) \ u)) = L(L(R(u,z,y) \ u,w,x),x,x) \ (R(u,z,y) \ u).
a(x,y,z) * 1 = L(a(x,y,z),u,a(u,x,w)).
L(a(x,y,z),u,a(u,x,w)) = a(x,y,z) * 1.
a(x,y,z) = L(a(x,y,z),u,a(u,z,w)).
L(a(x,y,z),u,a(u,z,w)) = a(x,y,z).
x * a(y,z,a(u,x,L(x,w,v5))) = L(x,x,a(L(u,w,v5),z,y)).
(x * L(y,z,u \ 1)) / L(y,y,a(x,z,u)) = x * (L(y,z,u) \ y).
a(x,y,z) = L(a(x,y,z),u,a(u,x,w)).
L(a(x,y,z),u,a(u,x,w)) = a(x,y,z).
a(L(a(x,y,z),u,u),z,w) = a(w,z,a(z,y,x)).
L(x,x \ 1,a(y,a(z,u,w),v5)) = x.
x = L(x,x,a(y,a(z,u,w),v5)).
L(x,x,a(y,a(z,u,w),v5)) = x.
L(x,x,a(y,y,a(z,u,w))) = x.
L(x,y,a(z,u,w)) \ x = a(a(z,u,w),y,x).
R(x,y,a(z,u,w)) = x * a(x,y,a(z,u,w)).
x * a(x,y,a(z,u,w)) = R(x,y,a(z,u,w)).
R(x,y,a(z,u,w)) = a(x,y,a(z,u,w)) * x.
a(x,y,a(z,u,w)) * x = R(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) = a(a(z,u,w),y,x) \ x.
a(a(x,y,z),u,w) \ w = L(w,u,a(x,y,z)).
a(a(x,y,z),u,w) \ 1 = w \ L(w,u,a(x,y,z)).
a(a(x,y,z),u,L(w,v5,v6)) = L(L(w,u,a(x,y,z)) \ w,v5,v6).
L(L(x,y,a(z,u,w)) \ x,v5,v6) = a(a(z,u,w),y,L(x,v5,v6)).
L(x,y,a(z,u,w)) \ x = a(x,y,a(w,u,z)).
a(x,y,z) * (L(u,w,a(x,y,z)) \ u) = L(a(x,y,z),w,u).
L(x,y,a(z,u,w)) = x * a(x,y,a(z,u,w)).
x * a(x,y,a(z,u,w)) = L(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) = a(x,y,a(z,u,w)) * x.
a(x,y,a(z,u,w)) * x = L(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) = x * a(a(w,u,z),y,x).
x * a(a(y,z,u),w,x) = L(x,w,a(u,z,y)).
a(x \ y,z,a(u,w,y)) = x \ L(x,z,a(y,w,u)).
a(x,y,a(z,u,w)) * w = x * L(x \ w,y,a(w,u,z)).
x * L(x \ y,z,a(y,u,w)) = a(x,z,a(w,u,y)) * y.
a(x,y,a(z,u,w)) = x \ L(x,y,a(z,u,w)).
x \ L(x,y,a(z,u,w)) = a(x,y,a(z,u,w)).
x * a(a(y,z,u),w,x) = L(x,w,a(y \ 1,z,u)).
L(x,y,a(z \ 1,u,w)) = x * a(a(z,u,w),y,x).
a(a(x,y,z),u,w) * w = L(w,u,a(z,y,x)).
a(x,y,z) * (L(a(x,y,z),u,w) \ w) = L(w,u,a(x,y,z)).
L(x,y,a(z,z,u)) = L(x,z,a(u,y,z)).
L(x,y,a(z,u,y)) = L(x,u,a(y,y,z)).
L(L(x,y,a(z,u,u)),u,a(z,y,u)) = x.
L(x,y,a(z,z,u)) = L(x,z,a(z,y,u)).
L(x,y,a(y,z,u)) = L(x,z,a(u,y,y)).
L(x,y,a(z,u,u)) = L(x,u,a(u,y,z)).
x = L(L(x,y,a(z,u,u)),u,a(u,y,z)).
L(L(x,y,a(z,u,u)),u,a(u,y,z)) = x.
L(x \ (a(y,z,z) * u),z,a(z,x,y)) = (a(y,z,z) \ x) \ u.
L(x,y,a(z,u,a(u,w,v5))) = L(x,u,a(u,y,a(z,w,v5))).
L(x,y,a(z,z,u)) = L(x,y,a(u,z,z)).
L(x,y,a(z,u,u)) = L(x,y,a(u,u,z)).
L(x,y,a(z,u,u)) * a(z,u,a(u,y,L(x,y,a(z,u,u)))) = x.
L(x,y,a(z * (u \ w),u,u)) = L(x,y,a(u,u,z * w)).
L(x,y,a((z \ 1) * u,w,w)) = L(x,y,a(w,w,((u \ w) * z) \ w)).
L(x,y,a(z,z,((u \ z) * w) \ z)) = L(x,y,a((w \ 1) * u,z,z)).
L(x,y,a(y \ x,y \ x,z)) = L(x,x,a(z,y,y)).
L(x,y,a(z \ (u \ 1),w,w)) = L(x,y,a(w,w,z \ (w \ (u \ w)))).
L(x,y,a(z,z,u \ (z \ (w \ z)))) = L(x,y,a(u \ (w \ 1),z,z)).
L(x * a(y,z,a(u,w,v5)),y,a(y,z,a(v5,w,u))) = y * (L(y,z,a(v5,w,u)) \ x).
x * (a(y,z,u) \ L(a(y,z,u),w,x)) = L(x,w,a(u,z,y)).
a(x * y,z,a(u,w,y)) = x \ L(x,z,a(u,w,y)).
a(x \ y,x,a(z,u,w)) = a(a(z,u,w),x,y \ x).
a(a(x,y,z),u,w \ u) = a(u \ w,u,a(x,y,z)).
L(a(a(x,y,y) * z,u,a(w,v5,v6)),z,a(x,y,y)) = z \ (a(x,y,y) \ L(a(x,y,y) * z,u,a(w,v5,v6))).
x \ (a(y,z,z) \ L(a(y,z,z) * x,u,a(w,v5,v6))) = L(a(a(y,z,z) * x,u,a(w,v5,v6)),x,a(y,z,z)).
a(L(a(x,y,z),u,w),z,u) = a(z,z,a(x,y,u)).
a(x,x,a(y,z,u)) = L(a(u,x,a(x,z,y)),u,w).
L(a(x,y,a(y,z,u)),x,w) = a(y,y,a(u,z,x)).
L(a(x,x,a(y,z,u)),w,v5) = L(L(a(u,x,a(x,z,y)),w,v5),u,v6).
L(L(a(x,y,a(y,z,u)),w,v5),x,v6) = L(a(y,y,a(u,z,x)),w,v5).
L(x \ y,x,a(y,z,u)) = L(x \ y,a(x,z,u),y).
L(x \ y,a(x,z,u),y) = L(x \ y,x,a(y,z,u)).
a(x \ y,z,a(u,w,y)) = a(x,z,a(y,w,u)).
a(x \ y,z,a(y,u,w)) = a(x,z,a(w,u,y)).
a(x,y,a(z,u,w)) * a(z,u,w) = L(a(z,u,w),y,x \ z).
a(x,y,a(z,u,w)) * a(z,u,w) = L(a(z,u,w),y,x \ w).
L(x,y,R(z,u,w) \ z) = x * a(a(z,u,L(w,z,u)),y,x).
x * a(a(y,z,L(u,y,z)),w,x) = L(x,w,R(y,z,u) \ y).
a(x,x,a(y,z,z)) * z = L(z,x,a(x \ z,x \ z,y)).
L(x,y,a(y \ x,y \ x,z)) = a(y,y,a(z,x,x)) * x.
L(x,x,a(y,z,z)) = L(x,z,a(z,z \ x,y)).
L(x,y,a(y,y \ x,z)) = L(x,x,a(z,y,y)).
a(x * y,z,a(u,w,y)) = a(x,z,a(u,w,y)).
a(x,y,a(z,u,w)) = a(w * x,y,a(z,u,w)).
a(x * y,z,a(u,w,x)) = a(y,z,a(u,w,x)).
a(x \ y,z,a(u,w,x)) = a(y,z,a(u,w,x)).
a(x,y,a(z,u,w)) * a(w,u,z) = L(a(w,u,z),y,x * w).
L(x \ y,x,a(y,z,u)) = L(x \ y,x,a(x,z,u)).
L(L(x \ y,x,a(y,z,u)),x,a(x,z,u)) = x \ y.
a(x,y,z) * (x * L(x \ u,x,a(u,y,z))) = (a(x,y,z) * x) * (x \ u).
L(a(x,y,z),u,u \ 1) = L(a(x,y,z),u,u).
L(a(x,y,z),u,u \ a(x,y,z)) = L(a(x,y,z),u,u).
L(L(x,y,z) \ x,u,u \ 1) = L(a(z,y,L(x,x,y \ 1)),u,u).
L(a(x,y,L(z,z,y \ 1)),u,u) = L(L(z,y,x) \ z,u,u \ 1).
L(a(x,y,z),L(x,x,a(z,y,y)),L(x,x,a(z,y,y))) = a(x,y,z) \ a(x * x,y,z).
L(x \ 1,x,a(y,z,u)) = a(u,z,y) \ (x \ a(u,z,y)).
a(x,x,a(y,z,L(u,w,w))) = a(u,x,a(x,z,y)).
x * a(y,x,a(x,z,u)) = L(x,x,a(u,z,L(y,w,w))).
L(x,x,a(y,z,L(u,w,w))) = x * a(u,x,a(x,z,y)).
L(x,x,a(y,z,L(u,w,w))) = L(x,x,a(y,z,u)).
x * y != a(x,z,u) * (x * w) | y = w * a(x,z,u).
L(x \ (x * y),z,a(x * y,u,w)) = y * a(x,z,a(w,u,x * y)).
L(x,y,a(z * ((y \ x) \ u),y \ x,y \ x)) = L(x,x,a(z * u,y,y)).
x * y != L(y,z,a(z \ y,u,w)) | x = a(w,u,a(z,z,y)).
a(x,x,a(y,z,z)) = a(y,x \ z,a(x,x,z)).
a(x,y \ z,a(y,y,z)) = a(y,y,a(x,z,z)).
a(x \ y,x \ y,a(z,x,x)) = a(x,x,a(z,y,y)).
a(x,x,a(y \ 1,z,z)) = a(x,x,a(x \ z,x \ z,y)).
a(x,x,a(x \ y,x \ y,z)) = a(x,x,a(z \ 1,y,y)).
L(a(x,y,z),x,a(u,w,v5)) = a(L(x \ 1,x,a(v5,w,u)) \ 1,y,z).
a(L(x \ 1,x,a(y,z,u)) \ 1,w,v5) = L(a(x,w,v5),x,a(u,z,y)).
a(x,x,a(x \ y,x \ y,z)) = a(a(z,y,y),x,x).
a(x,x,a(x \ y,x \ y,z)) = a(z,y,a(y,x,x)).
a(x,y,a(y,z,z)) = a(z,z,a(y,z \ y,x)).
a(x,x,a(y,x \ y,z)) = a(z,y,a(y,x,x)).
L(x,y,a(y \ x,y \ x,z * (u \ (y \ x)))) = a(x * ((u \ 1) * z),x,a(x,y,y)) * x.
L(a(x,y,z),u,w) = w * L(w \ a(x,y,z),u,a(x,y,z)).
x * L(x \ a(y,z,u),w,a(y,z,u)) = L(a(y,z,u),w,x).
L(x,y,a(z,u,w)) * L(a(z,u,w),y,x) = x * a(z,u,w).
L(a(x,y,z),u,w \ x) = L(a(x,y,z),u,w \ 1).
L(a(x,y,z),u,w \ 1) = L(a(x,y,z),u,w \ x).
L(a(x,y,z),u,(w \ x) \ 1) = L(a(x,y,z),u,w).
L(a(x,y,z \ x),u,z) = a(x,y,z \ x).
a(a(x,y,z \ x),u,L(u,w,z)) \ u = L(u,u,a(x,y,z \ x)).
L(a(x,y,z),u,w \ z) = L(a(x,y,z),u,w \ 1).
L(a(x,y,z),u,w \ 1) = L(a(x,y,z),u,w \ z).
x * a(y \ R(y,z,u),w,x) = L(x,w,R(y,z,u) \ y).
x * a(y \ L(y,z,u),w,x) = L(x,w,R(y,z,u) \ y).
L(x,y,L(z,u,w) \ z) = x * a(z \ L(z,u,w),y,x).
x * a(y \ L(y,z,u),w,x) = L(x,w,L(y,z,u) \ y).
L(a(x,y,z),u,w * x) = L(a(x,y,z),u,w).
L(a(x,y,z),u,w) = L(a(x,y,z),u,x * w).
L(a(x,y,z),u,x * w) = L(a(x,y,z),u,w).
(x * y) * (a(x,z,u) \ L(a(x,z,u),w,y)) = L(x * y,w,a(u,z,x)).
L(x,x,a((y \ 1) * z,u,w)) = L(x,x,a(y * (z \ 1),u,w)).
a(a(x,y,z),u,L(w,w,v5)) = v5 \ (w * (L(w,u,a(x,y,z)) \ v5)).
x \ (y * (L(y,z,a(u,w,v5)) \ x)) = a(a(u,w,v5),z,L(y,y,x)).
L(a(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),u,L(w,v5,v6)).
a(a(x,y,z),u,L(w,v5,v6)) = L(a(a(x,y,z),u,w),v5,v6).
L(a(x,y,a(z,u,w)),v5,v6) = a(a(w,u,z),y,L(x,v5,v6)).
a(a(x,y,z),u,L(w,v5,v6)) = L(a(w,u,a(z,y,x)),v5,v6).
a(a(x,y,z),u,L(w,a(x,y,z),v5)) = a(a(x,y,z),u,w).
a(L(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),v5,L(v6,u,w)).
L(a(x,y,a(z,u,w)),v5,v6) = a(L(x,v5,v6),y,a(z,u,w)).
a(L(x,y,z),u,a(w,v5,v6)) = L(a(x,u,a(w,v5,v6)),y,z).
a(a(x,y,z),u,L(w,v5,x)) = a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) * L(x,v5,w) = L(L(x,v5,w),y,a(z,u,w)).
L(a(x,y,y) * ((x \ y) \ z),y,a(y,x \ y,x)) = (a(x,y,y) \ (x \ y)) \ z.
L(x,x,a(L(y \ z,y,y),u,w)) = L(x,x,a(y * (z \ 1),u,w)).
x * L(x \ L(x,y,z),u,u) = L(L(x,y,z),u,a(u,y,z)).
L(L(x,y,z),u,a(u,y,z)) = x * L(x \ L(x,y,z),u,u).
(a(x,y,a(y,z,u)) * y) * a(y,z,u) = y * L(a(y,z,u),y,x).
L(a(L(a(x,y,z),u,w),z,v5),v5,v6) = L(a(z,z,a(x,y,v5)),u,w).
L(L(x,y,z) \ x,u,u) = L(L(x,y,z) \ x,u,u \ 1).
L(L(x,y,z) \ x,u,u \ 1) = L(L(x,y,z) \ x,u,u).
a(a(x,y,z),u,L(w,w,v5)) \ (w \ v5) = L(w,u,a(z,y,x)) \ v5.
L(x,a(y,z,x),u) * a(x,z,y) = x * L(a(x,z,y),x,u).
L(x * a(x,y,z),a(z,y,x),u) = x * L(a(x,y,z),x,u).
L(a(x,x,a(y,z,L(u,w,v5))),u,v6) = L(a(x,x,a(y,z,u)),w,v5).
L(x,y,a(z,u,w)) \ v5 = (x \ v5) * a(L(x,x,v5),y,a(w,u,z)).
(x \ y) * a(L(x,x,y),z,a(u,w,v5)) = L(x,z,a(v5,w,u)) \ y.
L(a(x,x,a(y,z,u)),w,v5) = a(x,x,a(y,z,L(u,w,v5))).
a(x,x,a(y,z,L(u,w,v5))) = L(a(x,x,a(y,z,u)),w,v5).
a(x,x,L(a(y,z,u),w,v5)) = a(x,x,a(y,z,L(u,w,v5))).
a(x,x,a(y,z,L(u,w,v5))) = a(x,x,L(a(y,z,u),w,v5)).
a(x,x,a(y,z,L(u \ 1,w,v5))) = a(x,x,L(a(u,z,y),w,v5)).
a(x,x,a(y,z,L(u \ x,w,v5))) = a(a(y,z,u),x,L(x,w,v5)).
a(x,x,L(a(y,z,u),w,v5)) = a(x,x,a(L(y,w,v5),z,u)).
a(x,x,a(L(y,z,u),w,v5)) = a(x,x,L(a(y,w,v5),z,u)).
a(x,x,a(y,z,L(u,w,v5))) = a(x,x,a(L(y,w,v5),z,u)).
a(x,x,a(L(y,z,u),w,v5)) = a(x,x,a(y,w,L(v5,z,u))).
a(x,y,a(y,z,L(u,w,v5))) = a(y,y,a(L(x,w,v5),z,u)).
a(a(x,y,z),L(x,u,w),v5) = a(x,x,a(v5,y,L(z,u,w))).
a(x,y,a(z,u,L(u,w,v5))) = a(u,u,a(z,y,L(x,w,v5))).
a(x,x,a(y \ 1,z,L(u,w,v5))) = a(u,x,a(L(y,w,v5),z,x)).
a(L(x,y,z),u,a(u,w,v5)) = a(x,u,a(u,w,L(v5,y,z))).
a(x,y,a(z,u,L(u,w,v5))) = a(z,u,a(u,y,L(x,w,v5))).
a(x,x,a(y,z,L(u,w,v5))) * y = L(y,L(x,w,v5),a(u,z,x)).
x * a(y,z,a(u,x,L(x,w,v5))) = L(x,x,a(u,z,L(y,w,v5))).
a(x,y,a(y,z,u)) = a(x,y,a(y,z,L(u,w,a(x,v5,v6)))).
a(x,y,a(y,z,L(u,w,a(x,v5,v6)))) = a(x,y,a(y,z,u)).
a(a(x,y,L(y,z,u)),w,v5) = a(x,y,a(y,w,L(v5,z,u))).
L(x,y,a(z,u,u)) * a(z,u,a(u,y,x)) = x.
a(a(x,y,z),u,L(u,w,v5)) = a(L(z,w,v5),y,a(u,u,x)).
a(L(x,y,z),u,a(w,w,v5)) = a(a(v5,u,x),w,L(w,y,z)).
a(x,y,a(L(z,u,w),v5,y)) = a(L(x,u,w),v5,a(y,y,z)).
a(L(x,y,z),u,a(w,w,v5)) = a(x,w,a(L(v5,y,z),u,w)).
a(x,y,a(L(z,u,w),v5,y)) = a(a(z,v5,x),y,L(y,u,w)).
a(a(x,y,z),u,L(u,w,v5)) = a(z,u,a(L(x,w,v5),y,u)).
x * a(y,x,a(L(z,u,w),v5,x)) = L(x,x,L(a(y,v5,z),u,w)).
a(x \ y,z,a(L(y,u,x),w,z)) \ z = L(z,z,a(y,w,x \ y)).
L(x,L(y,z,u),a(w,v5,y)) = L(x,y,a(y,v5,L(w,z,u))).
L(x,y,a(y,z,L(u,w,v5))) = L(x,a(u,z,y),L(y,w,v5)).
L(x,a(y,z,u),L(u,w,v5)) = L(x,u,a(u,z,L(y,w,v5))).
L(x,x,a(y,z,L(u,w,v5))) = L(x,x,a(L(y,w,v5),z,u)).
L(x,x,a(L(y,z,u),w,v5)) = L(x,x,a(y,w,L(v5,z,u))).
L(x,x,a(y \ z,u,L(w,y,y))) = L(x,x,a(y * (z \ 1),u,w)).
L(x,x,L(a(y,z,u),w,v5)) = L(x,x,a(y,z,L(u,w,v5))).
L(x,x,a(y,z,L(u,w,v5))) = L(x,x,L(a(y,z,u),w,v5)).
L(x,x,a(y * (z \ 1),u,w)) = L(x,x,a(y \ z,u,w)).
R((a(x,y,z) * u) / L(u,u,a(z,y,x)),L(u,u,a(z,y,x)),L(w,u,a(x,y,z))) = (a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)).
x * (L(y,z,u) \ y) = L(y,z,u \ 1) * (L(y,y,a(x,z,u)) \ x).
L(x,y,z \ 1) * (L(x,x,a(u,y,z)) \ u) = u * (L(x,y,z) \ x).
L(x,y,a((z \ 1) * u,w,w)) = L(x,y,a((u \ w) * z,w,w)).
L(x,y,a((z \ 1) * u,y \ x,y \ x)) = L(x,x,a((u \ (y \ x)) * z,y,y)).
L(x,y,a(z \ (u \ 1),w,w)) = L(x,y,a(w,w,z \ (u \ w))).
L(x,y,a(z \ (u \ 1),y \ x,y \ x)) = L(x,x,a(z \ (u \ (y \ x)),y,y)).
L(x,y,a(z * x,u,w)) = x * a(z,y,a(w,u,z * x)).
x * a(y,z,a(u,w,y * x)) = L(x,z,a(y * x,w,u)).
x * a(a(y * x,z,u),w,y) = L(x,w,a(y * x,z,u)).
a(a(x * y,z,u),w,x) * y = L(y,w,a(x * y,z,u)).
a(L((x \ 1) \ 1,x,a(y,z,u)),w,v5) = L(a(x,w,v5),x,a(u,z,y)).
L(x,y,z \ 1) * L(x \ u,x,a(u,y,z)) = u * (L(x,y,z) \ x).
L(a(x,y,z),x,a(u,w,v5)) = a(L(x,x,a(v5,w,u)),y,z).
a(L(x,x,a(y,z,u)),w,v5) = L(a(x,w,v5),x,a(u,z,y)).
a(L(x,x,a(y,y,z)),u,w) = L(a(x,u,w),y,a(y,x,z)).
a(L(x,x,a(y,y,z)),u,w) = a(x,u,w).
a(x \ a(y,y,z),u,w) = a((a(y,y,z) \ x) \ 1,u,w).
a((a(x,x,y) \ z) \ 1,u,w) = a(z \ a(x,x,y),u,w).
a(a(x,x,y) * (z \ 1),u,w) = a(z \ a(x,x,y),u,w).
a((x \ 1) * a(y,y,z),u,w) = a(x \ a(y,y,z),u,w).
a((x \ 1) \ a(y,y,z),u,w) = a(a(y,y,z) * x,u,w).
a(a(x,x,y) * z,u,a(w,v5,v6)) = a(z \ (a(x,x,y) \ 1),u,a(v6,v5,w)).
a(x \ (a(y,y,z) \ 1),u,a(w,v5,v6)) = a(a(y,y,z) * x,u,a(v6,v5,w)).
(a(x,y,z) \ u) * L(a(x,y,z),z,y * x) = u * a(y,y,a(x,z,z)).
(x * y) * a(a(x,z,u),w,y) = L(x * y,w,a(u,z,x)).
(a(x,y,z) \ u) * (L(z,y,x) \ z) = u * a(y,y,a(x,z,z)).
(x \ L(x,y,z)) * (u * a(y,y,a(z,x,x))) = a(z,y,x) \ u.
L(x,y,a(z,u,w) \ v5) = L(x,y,(w \ R(w,u,z)) * (v5 * a(u,u,a(z,w,w)))).
L(x,y,(z \ R(z,u,w)) * (v5 * a(u,u,a(w,z,z)))) = L(x,y,a(w,u,z) \ v5).
L(x,x,a(y * z,u,u)) = L(x,x,a(y * ((u \ x) \ z),u,u)).
L(x,x,a(y * ((z \ x) \ u),z,z)) = L(x,x,a(y * u,z,z)).
a(x \ a(y \ 1,y,z),u,a(w,v5,v6)) = a(a(y,y,z) * x,u,a(v6,v5,w)).
a(a(x,x,y) * z,u,a(w,v5,v6)) = a(z \ a(y,x,x),u,a(v6,v5,w)).
a(x \ a(y,z,z),u,a(w,v5,v6)) = a(a(z,z,y) * x,u,a(v6,v5,w)).
L(x,x,a((y \ (z \ x)) * u,z,z)) = L(x,x,a((u \ 1) * y,z,z)).
L(x,x,a((y \ (z \ x)) * u,z,z)) = L(x,x,a(z,z,u * y)).
L(x,x,a(y \ (z \ (u \ x)),u,u)) = L(x,x,a(y \ (z \ 1),u,u)).
L(x,x,a(y \ (z \ (u \ x)),u,u)) = L(x,x,a(u,u,y \ z)).
L(x,y,a(y,z,L(u \ w,u,w))) = L(L(x,y,y \ 1),y,L(y,z,u * (w \ 1))).
L(L(x,y,y \ 1),y,L(y,z,u * (w \ 1))) = L(x,y,a(y,z,L(u \ w,u,w))).
L(x,y,a(y,z,L(u \ w,u,w))) = L(x,y,a(y,z,u * (w \ 1))).
L(x,y,a(y,z,(u \ 1) * w)) = L(x,y,a(y,z,u * (w \ 1))).
L(x * a(x,y,z),x * a(x,y,z),a(z,y,y)) = x * L(a(x,y,z),x,y).
L(x * a(x,y,z),x * a(x,y,z),a(z,y,y)) = x * (x \ R(x,y,z)).
L(x * a(x,y,z),x * a(x,y,z),a(z,y,y)) != x * u | x \ R(x,y,z) = u.
L(x,L(x,y,z),u \ L(u,w,v5)) = L(x,a(L(x,y,z),w,v5),u).
L(x,a(L(x,y,z),u,w),v5) = L(x,x,L(v5 \ L(v5,u,w),y,z)).
L(x,x,L(y \ L(y,z,u),w,v5)) = L(x,a(L(x,w,v5),z,u),y).
L(x,a(L(x,y,z),u,w),v5) = L(x,a(x,u,w),L(v5,y,z)).
L(x,a(x,y,z),L(u,w,v5)) \ x = a(u,x,a(L(x,w,v5),y,z)).
a(x,y,a(L(y,z,u),w,v5)) = a(L(x,z,u),y,a(y,w,v5)).
a(L(x,y,z),u,a(u,w,v5)) = a(x,u,a(L(u,y,z),w,v5)).
a(x,y,a(L(y,z,u),w,v5)) = a(x,L(y,z,u),a(y,w,v5)).
a(x,L(y,z,u),a(y,w,v5)) = a(x,y,a(L(y,z,u),w,v5)).
a(x,x,a(y,z,L(L(z,u,w),v5,x))) = a(x,z,a(L(z,u,w),x,y)).
a(a(x,x,L(x \ (y \ x),z,u)),w,w) = a(x,w,a(L(w,z,u),x,y \ 1)).
a(a(x,x,L(x \ (y \ x),z,u)),w,w) = a(x,w,a(y,x,L(w,z,u))).
a(a(x,x,L(y \ 1,z,u)),w,w) = a(x,w,a(y,x,L(w,z,u))).
a(x,y,a(z,x,L(y,u,w))) = a(x,x,a(L(z \ 1,u,w),y,y)).
a(x,x,a(L(y \ 1,z,u),w,w)) = a(x,w,a(y,x,L(w,z,u))).
a(x,x,a(y \ 1,z,L(z,u,w))) = a(x,z,a(y,x,L(z,u,w))).
a(x,y,a(z,x,L(y,u,w))) = a(a(z,y,L(y,u,w)),x,x).
a(a(x,y,L(y,z,u)),w,w) = a(w,y,a(x,w,L(y,z,u))).
a(x,y,a(z,x,L(y,u,w))) = a(z,y,a(y,x,L(x,u,w))).
a(x,y,z) \ a(x * x,y,z) = a(x,y,z).
a(x,y,z) * a(x,y,z) = a(x * x,y,z).
a(x,y,a(z,u,w)) * a(a(w,u,z),y,x) = a(a(w,u,z) * a(w,u,z),y,x).
a(a(x,y,z),u,w) * a(w,u,a(z,y,x)) = a(w * w,u,a(z,y,x)).
a(x * x,y,z) * u = a(x,y,z) * (a(x,y,z) * u).
a(x,y,z) * (a(x,y,z) * u) = a(x * x,y,z) * u.
a(x,y,z) * (u * a(x,y,z)) = a(x * x,y,z) * u.
(a(x * x,y,z) * u) / a(x,y,z) = L(a(x,y,z),u,a(x,y,z)) * u.
L(x,a(y * y,z,z \ 1) * u,w) = L(x,a(z,z,y) * (a(y,z,z \ 1) * u),w).
L(x,a(y,y,z) * (a(z,y,y \ 1) * u),w) = L(x,a(z * z,y,y \ 1) * u,w).
L(x,y,a(z * z,u,u \ 1) * w) = L(x,y,a(u,u,z) * (a(z,u,u \ 1) * w)).
L(x,y,a(z,z,u) * (a(u,z,z \ 1) * w)) = L(x,y,a(u * u,z,z \ 1) * w).
a(x,y,a(z,u,w)) * a(a(w,u,z),y,x) = a(a(w * w,u,z),y,x).
a(a(x * x,y,z),u,w) = a(a(x,y,z),u,w) * a(w,u,a(z,y,x)).
a(a(x,y,z),u,w) * a(w,u,a(z,y,x)) = a(a(x * x,y,z),u,w).
a(a(x * x,y,z),u,w) = a(w * w,u,a(z,y,x)).
a(a(x,y,z),u,w * w) = a(a(x * x,y,z),u,w).
a(a(x * x,y,z),u,w) = a(a(x,y,z),u,w * w).
a(a(x,y,z),u,w * w) \ 1 = w \ L(w,u,a(x * x,y,z)).
x \ L(x,y,a(z * z,u,w)) = a(x * x,y,a(z,u,w)).
x * a(x * x,y,a(z,u,w)) = L(x,y,a(z * z,u,w)).
L(x,y,a(z * z,u,w)) = x * a(x * x,y,a(z,u,w)).
a(x * x,y,a(z,u,w)) = a(a(w,u,z * z),y,x).
a(a(x,y,z * z),u,w) = a(w * w,u,a(z,y,x)).
a(a(x * x,y,z),u,w) = a(a(x,y,z * z),u,w).
a(a((x \ 1) / x,y,z),u,w) = a(a(1 / x,y,z * z),u,w).
a(a(x \ (x \ 1),y,z),u,w) = a(a(1 / x,y,z * z),u,w).
a(a(1 / x,y,z * z),u,w) = a(w,u,a(x * x,y,z)).
a(a(x \ 1,y,z * z),u,w) = a(w,u,a(x * x,y,z)).
a(x,y,a(z * z,u,w)) = a(x,y,a(z,u,w * w)).
L(x,a(y,y,z) * (a(z,y,y \ 1) * u),w) = L(x,a(y,y,z * z) * u,w).
L(x,a(y,y,z * z) * u,w) = L(x,(a(y,y,z) * u) * a(y,y,z),w).
L(x,(a(y,y,z) * u) * a(y,y,z),w) = L(x,a(y,y,z * z) * u,w).
L(x,a(y,y,z) * (u * a(y,y,z)),w) = L(x,a(y,y,z * z) * u,w).
L(x,a(y * y,y,z) * u,w) = L(x,a(y,y,z * z) * u,w).
L(x,a(y * y,y,z) * u,w) = L(x,u,w).
L(x,R(y,y,z) \ u,w) = L(x,(a(y,y,z) \ 1) \ (u / y),w).
L(x,(a(y,y,z) \ 1) \ (u / y),w) = L(x,R(y,y,z) \ u,w).
L(x,L(y,y,z) \ u,w) = L(x,(a(y,y,z) \ 1) \ (u / y),w).
L(x,(a(y,y,z) \ 1) \ (u / y),w) = L(x,L(y,y,z) \ u,w).
L(x,(y / z) * a(z,z,u),w) = L(x,L(z,z,u) \ y,w).
L(x,L(y,y,z) \ u,w) = L(x,(y \ u) * a(y,y,z),w).
L(x,(y \ z) * a(y,y,u),w) = L(x,L(y,y,u) \ z,w).
L(x,L(y,y,z \ 1) \ u,w) = L(x,L(y,y,z) \ u,w).
L(x,y,a(z,z,u) * (a(u,z,z \ 1) * w)) = L(x,y,a(z,z,u * u) * w).
L(x,y,a(z,z,u * u) * w) = L(x,y,a(z,z,u) * (a(z,z,u) * w)).
L(x,y,a(z,z,u) * (a(z,z,u) * w)) = L(x,y,a(z,z,u * u) * w).
L(x,y,a(z * z,z,u) * w) = L(x,y,a(z,z,u * u) * w).
L(x,y,a(z * z,z,u) * w) = L(x,y,w).
L(x,y,R(z,z,u) \ w) = L(x,y,(a(z,z,u) \ 1) \ (w / z)).
L(x,y,(a(z,z,u) \ 1) \ (w / z)) = L(x,y,R(z,z,u) \ w).
L(x,y,(R(T(z,u),z,w) \ v5) * v6) = L(x,y,v6 * ((a(z,z,w) \ 1) \ (T(z,u) \ v5))).
L(x,y,z * ((a(u,u,w) \ 1) \ (T(u,v5) \ v6))) = L(x,y,(R(T(u,v5),u,w) \ v6) * z).
L(x,y,z * a(u,w,L(w,v5,v6))) = L(x,y,(L(u \ L(u,w,w),v5,v6) * 1) \ z).
L(x,y,(L(z \ L(z,u,u),w,v5) * 1) \ v6) = L(x,y,v6 * a(z,u,L(u,w,v5))).
L(x,y,L(z,z,u) \ w) = L(x,y,(a(z,z,u) \ 1) \ (w / z)).
L(x,y,(a(z,z,u) \ 1) \ (w / z)) = L(x,y,L(z,z,u) \ w).
L(x,y,(z / u) * a(u,u,w)) = L(x,y,L(u,u,w) \ z).
L(x,y,L(z,z,u) \ w) = L(x,y,(z \ w) * a(z,z,u)).
L(x,y,(z \ u) * a(z,z,w)) = L(x,y,L(z,z,w) \ u).
L(x,y,L(z,z,u \ 1) \ w) = L(x,y,L(z,z,u) \ w).
L(x,y,L(z \ L(z,u,u),w,v5) \ v6) = L(x,y,v6 * a(z,u,L(u,w,v5))).
L(x,y,L(L(z,u,u) \ z,w,v5) * v6) = L(x,y,v6 * a(z,u,L(u,w,v5))).
L(x,y,L(a(z,z,u),w,v5) * v6) = L(x,y,v6 * a(u,z,L(z,w,v5))).
L(x,y,a(z,z,L(u,w,v5)) * v6) = L(x,y,v6 * a(u,z,L(z,w,v5))).
L(x,y,z * ((a(u,u,w) \ 1) \ (T(u,v5) \ v6))) = L(x,y,z * (R(u,u,w) \ v6)).
L(x,y,z * (L(u,u,w) \ v5)) = L(x,y,z * ((a(u,u,w) \ 1) \ (T(u,v6) \ v5))).
L(x,y,z * ((a(u,u,w) \ 1) \ (T(u,v5) \ v6))) = L(x,y,z * (L(u,u,w) \ v6)).
L(x,y,z * ((T(u,w) \ v5) * a(u,u,v6))) = L(x,y,z * (L(u,u,v6) \ v5)).
L(x,y,z * (L(u,u,w) \ v5)) = L(x,y,((u \ v5) * a(u,u,w)) * z).
L(x,y,((z \ u) * a(z,z,w)) * v5) = L(x,y,v5 * (L(z,z,w) \ u)).
L(x,y,z * (L(u,u,w) \ v5)) = L(x,y,z * (a(u,u,w) * (u \ v5))).
L(x,y,z * (a(u,u,w) * (u \ v5))) = L(x,y,z * (L(u,u,w) \ v5)).
L(L(x \ L(x,y,y),z,u),x,((y \ 1) * (a(u,z,y) * y)) \ 1) = a(y \ a(u,z,y),y,x).
L(x,y,a(y \ x,y \ x,z * (u \ (y \ x)))) = a((u \ 1) * z,x,a(x,y,y)) * x.
L(x,y,a(y \ x,y \ x,z * (u \ (y \ x)))) = a(u * (z \ 1),x,a(y,y,x)) * x.
L(x,y,a(y \ x,y \ x,z * (u \ (y \ x)))) = a(x,x,a(z * u,y,y)) * x.
L(x,y,a(y \ x,y \ x,z * (u \ (y \ x)))) = L(x,x,a(z * u,y,y)).
L(x,x,a(y * z,u,u)) = L(x,x,a(y * (z \ (u \ x)),u,u)).
L(x,x,a(y * (z \ (u \ x)),u,u)) = L(x,x,a(y * z,u,u)).
L(L(x \ L(x,y,y),z,u),x,((y \ a(u,z,y)) * y) \ 1) = a(y \ a(u,z,y),y,x).
L(L(x \ L(x,y,y),z,u),x,y * (a(u \ 1,z,y) / y)) = a(y \ a(u,z,y),y,x).
a(x \ a(y,z,x),x,u) = L(L(u \ L(u,x,x),z,y),u,a(y \ 1,z,x)).
L(L(x \ L(x,y,y),z,u),x,a(u \ 1,z,y)) = a(y \ a(u,z,y),y,x).
a(x \ a(y,z,x),x,u) = L(L(u \ L(u,x,x),z,y),u,a(x,z,y)).
L(L(x \ L(x,y,y),z,u),x,a(y,z,u)) = a(y \ a(u,z,y),y,x).
a(x \ a(y,z,x),x,u) = a(x \ 1,x,L(u,z,y)).
a(x,y,a(z \ a(u,w,z),z,v5)) = a(a(z,z,L(v5,w,u)),y,x).
a(x,y,a(z \ a(u,w,z),z,v5)) = a(z,z,a(L(v5,w,u),y,x)).
a(x,y,a(z \ a(u,w,z),z,v5)) = a(z,z,a(v5,y,L(x,w,u))).
a(x,x,a(y,z,L(y \ u,w,v5))) = a(u,z,a(x \ a(v5,w,x),x,y)).
a(x,y,a(z \ a(u,w,z),z,v5)) = a(z,z,a(v5,y,L(v5 \ x,w,u))).
a(x,x,a(y,z,L(y \ u,w,v5))) = a(x,x,a(y,z,L(u,w,v5))).
a(x,x,a(y,z,u)) * (L(u \ L(u,z,y),w,x) * u) = L(L(L(u,z,y) \ u,w,x),x,x) \ u.
L(x,y,a(y,y \ x,z * ((y \ x) \ (u \ (y \ x))))) = L(x,y,a(y,y \ x,(u \ 1) * z)).
L(x,y,a(y,y \ x,z * ((y \ x) \ (u \ (y \ x))))) = L(x,y,a(y,y \ x,u * (z \ 1))).
L(x,y,a(y,y \ x,z * ((y \ x) \ (u \ (y \ x))))) = L(x,x,a(u * (z \ 1),y,y)).
L(x,y,a(y,y \ x,z * ((y \ x) \ (u \ (y \ x))))) = L(x,x,a(u \ z,y,y)).
L(x,x,a(y \ z,u,u)) = L(x,x,a(z * ((u \ x) \ (y \ (u \ x))),u,u)).
L(x,x,a(y * ((z \ x) \ (u \ (z \ x))),z,z)) = L(x,x,a(u \ y,z,z)).
L(x,x,a(y \ z,u,u)) = L(x,x,a(z * (y \ (u \ x)),u,u)).
L(x,x,a(y * (z \ (u \ x)),u,u)) = L(x,x,a(z \ y,u,u)).
L(x,x,a(y \ z,u,u)) = L(x,x,a(z * y,u,u)).
L(x,x,a((y \ (z \ x)) * u,z,z)) = L(x,x,a(z,z,u \ y)).
L(x,x,a(y,y,z \ u)) = L(x,x,a(y,y,z * u)).
a(x,y,z) * (u * a(x,y,a(z \ u,z,L(z,y,x)))) = L(z,z,a(x,y,y)) * (L(z,y,x) \ u).
a(x,y,z) * (u * a(x,y,a(z \ u,z,z))) = L(z,z,a(x,y,y)) * (L(z,y,x) \ u).
L(x,x,a(y,z,z)) * (L(x,z,y) \ u) = a(y,z,x) * (u * a(y,z,a(x \ u,x,x))).
L(x,x,a(y,z,z)) * (L(x,z,y) \ u) = a(y,z,x) * (u * a(y,z,a(u,x,x))).
L(x,x,a(y,z,z)) * (L(x,z,y) \ u) = a(y,z,x) * L(u,x,a(y,z,x)).
L(x * a(y,z,u),u,a(y,z,u)) = L(u,u,a(y,z,z)) * (L(u,z,y) \ x).
L(x,x,a(y,z,z)) * (L(x,z,y) \ u) = L(u * a(y,z,x),x,a(y,z,x)).
L(x,x,a(y,z,z)) * (L(x,z,y) \ u) = x \ ((x * a(y,z,x)) * u).
x \ ((x * a(y,z,x)) * a(y,z,x)) = L(x,z,y) \ L(x,z,y \ 1).
x \ (x * (a(y,z,x) * a(y,z,x))) = L(x,z,y) \ L(x,z,y \ 1).
x \ (x * a(y * y,z,x)) = L(x,z,y) \ L(x,z,y \ 1).
L(x,y,z) \ L(x,y,z \ 1) = x \ (x * a(z * z,y,x)).
L(x,y,z) \ L(x,y,z \ 1) = a(z * z,y,x).
R(x,a(y * y,z,u),L(u,z,y)) * L(u,z,y \ 1) = (x * (L(u,z,y \ 1) / L(u,z,y))) * L(u,z,y).
a(x * x,y,z) \ z = L(L(z,y,x),y,x).
L(L(x,y,z),y,z) = a(z * z,y,x) \ x.
L(L(x,y,z),y,z) = L(x,y,z * z).
L(x,y,z) * L(x,y,z) = x * L(x,y,z * z).
L(L(x,y,a(z,u,w)),y,a(z,u,w)) = L(x,y,a(z * z,u,w)).
x * L(x,y,a(z,u,w) * a(z,u,w)) = L(x * x,y,a(z,u,w)).
x * L(x,y,a(z * z,u,w)) = L(x * x,y,a(z,u,w)).
L(x,a(y * y,z,u),L(u,z,y)) * L(u,z,y \ 1) = (x * (L(u,z,y \ 1) / L(u,z,y))) * L(u,z,y).
L(x,y,a(y,z,L(u * u,z,u))) * L(y,z,u \ 1) = (x * (L(y,z,u \ 1) / L(y,z,u))) * L(y,z,u).
L(x,y,a(y,z,u * u)) * L(y,z,u \ 1) = (x * (L(y,z,u \ 1) / L(y,z,u))) * L(y,z,u).
(x * (L(y,z,u \ 1) / L(y,z,u))) * L(y,z,u) = L(x,y,a(y,z,u * u)) * L(y,z,u \ 1).
(x * (L(y,z,u \ 1) / L(y,z,u))) * L(y,z,u) = x * L(y,z,u \ 1).
(x * (L(y,z,u) \ L(y,z,u \ 1))) * L(y,z,u) = x * L(y,z,u \ 1).
(x * a(y * y,z,u)) * L(u,z,y) = x * L(u,z,y \ 1).
x * L(y,z,u \ 1) = a(u * u,z,y) * (x * L(y,z,u)).
a(x * x,y,z) * (u * L(z,y,x)) = u * L(z,y,x \ 1).
(x * L(y,z,u \ 1)) / a(u,z,y) = L(a(u,z,y),x * L(y,z,u),a(u,z,y)) * (x * L(y,z,u)).
L(a(x,y,z),u * L(z,y,x),a(x,y,z)) * (u * L(z,y,x)) = (u * L(z,y,x \ 1)) / a(x,y,z).
L(a(x,y,z),u * L(z,y,x),a(x,y,z)) * (u * L(z,y,x)) = a(x,y,z) \ (u * L(z,y,x \ 1)).
L(a(x,y,z),u * L(z,y,x),a(x,y,z)) * (u * L(z,y,x)) = (a(x,y,z) \ u) * L(z,y,x \ 1).
a(x,y,z) * (u * L(z,y,x)) = (a(x,y,z) \ u) * L(z,y,x \ 1).
(a(x,y,z) \ u) * L(z,y,x \ 1) = a(x,y,z) * (u * L(z,y,x)).
L(x * y,L(z,y,x),a(u,w,a(w,v5,v6))) \ ((x * (y * z)) * a(u,w,a(w,v5,v6))) = a(v6,v5,a(w,w,u)) * L(z,y,x).
R(x * (L(x,x,a(y,z,u)) \ a(u,z,y)),L(x,x,a(y,z,u)),L(w,x,a(u,z,y))) = (a(u,z,y) * (x * w)) / L(x * w,x,a(u,z,y)).
R(x * L(x \ a(y,z,u),x,a(u,z,y)),L(x,x,a(u,z,y)),L(w,x,a(y,z,u))) = (a(y,z,u) * (x * w)) / L(x * w,x,a(y,z,u)).
R(x * ((x \ 1) * a(y,z,u)),L(x,x,a(u,z,y)),L(w,x,a(y,z,u))) = (a(y,z,u) * (x * w)) / L(x * w,x,a(y,z,u)).
R(L(a(x,y,z),u \ 1,u),L(u,u,a(z,y,x)),L(w,u,a(x,y,z))) = (a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)).
R(1 / (1 / ((a(x,y,y) / y) \ 1)),x \ (y \ x),(y \ a(x,y,y)) \ z) = a(y \ a(x,y,y),(y \ a(x,y,y)) \ 1,z) / (y \ a(x,y,y)).
R(1 / (1 / L(x,x,y)),y \ (x \ y),(x \ a(y,x,x)) \ z) = a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)).
R(L(1 / (1 / x),x,y),y \ (x \ y),(x \ a(y,x,x)) \ z) = a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)).
L(R(1 / (1 / x),y \ (x \ y),(x \ a(y,x,x)) \ z),x,y) = a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)).
L(R(1 / (1 / x),x \ 1,(x \ a(y,x,x)) \ z),x,y) = a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)).
a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)) = L(R(1 / (1 / x),x \ 1,(x \ a(y,x,x)) \ z),x,y).
a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)) = L(a(x,x,a(y,x,x) \ z) \ x,x,y).
a(x \ a(y,x,x),(x \ a(y,x,x)) \ 1,z) / (x \ a(y,x,x)) = L(a(x,x,z) \ x,x,y).
a(x \ a(y,x,x),L(T(x,x \ 1),x,y),z) / (x \ a(y,x,x)) = L(a(x,x,z) \ x,x,y).
a(x \ a(y,x,x),L(x,x,y),z) / (x \ a(y,x,x)) = L(a(x,x,z) \ x,x,y).
a(x \ 1,x,y) / (x \ a(z,x,x)) = L(a(x,x,y) \ x,x,z).
L(a(x,x,y) \ x,x,z) = (a(x,x,y) / L(x,x,z)) \ 1.
(a(x,x,y) / L(x,x,z)) \ 1 = L(a(x,x,y) \ x,x,z).
L(a(x,x,y) \ x,x,z) = a(x,x,y) \ L(x,x,z).
L(L(a(x,x,y) \ x,x,z),a(x,x,y),u) = (u * a(x,x,y)) \ (u * L(x,x,z)).
(x * a(y,y,z)) \ (x * L(y,y,u)) = L(a(y,y,z) \ y,y,u).
L(a(x,x,a(y,z,u)) \ x,x,L(y,z,u)) = L(x,x,y).
L(L(x,x,a(y,z,u)),x,L(y,z,u)) = L(x,x,y).
L(L(x,x,a(a(y,z,z \ y),u,w)),x,L(a(y,z,z \ y),u,w)) = L(x,x,a(z,z,y)).
L(x,x,L(y,y,a(z,u,w))) \ L(x,x,L(y,y,z)) = a(L(z,u,w),y,a(L(y,y,a(z,u,w)),x,x)).
a(L(x,y,z),u,a(L(u,u,a(x,y,z)),w,w)) = L(w,w,L(u,u,a(x,y,z))) \ L(w,w,L(u,u,x)).
L(x,x,L(y,y,a(z,u,w))) = L(x,x,y).
L(L(x,x,a(y,y,a(z,u,w))),x,L(a(z,y,y \ z),u,w)) = L(x,x,a(y,y,z)).
L(x,x,L(a(y,z,z \ y),u,w)) = L(x,x,a(z,z,y)).
a(L(x,y,z),u,a(L(u,u,a(x,y,z)),w,w)) = L(w,w,u) \ L(w,w,L(u,u,x)).
a(L(x,y,z),u,a(L(u,u,a(x,y,z)),w,w)) = a(x,u,a(u,w,w)).
a(L(x,y,z),u,a(u,w,w)) = a(x,u,a(u,w,w)).
a(x,y,a(y,z,z)) = a(x,y,a(y,z,L(z,u,w))).
a(x,y,a(y,z,L(z,u,w))) = a(x,y,a(y,z,z)).
a(x,y,a(z,x,L(y,u,w))) = a(z,y,a(y,x,x)).
L(a(x,y,L(z,u,w)) * a(x,z,a(z,y,y)),z,y) = L(a(x,y,L(z,u,w)),a(x,y,L(z,u,w)),a(y,z,z)).
L(a(x,y,L(z,u,w)),a(x,y,L(z,u,w)),a(y,z,z)) = L(a(x,y,L(z,u,w)) * a(x,z,a(z,y,y)),z,y).
L(a(x,y,L(z,u,w)),a(x,y,L(z,u,w)),a(y,z,z)) = L(L(L(z,y,x) \ z,u,w),z,y).
L(L(L(x,y,z) \ x,u,w),x,y) = a(z,y,L(x,u,w)).
a(x,y,L(z,u,w)) = L(a(x,y,z),u,w).
(x * y) * a(z,u,L(w,x,y)) = (a(z,u,w) * x) * y.
a(x,y,L(z,u,w)) = R(a(x,y,z),u,w).
a(x,y,L(z,u,w)) * (u * w) = (a(x,y,z) * u) * w.
x * a(y,z,L(u,w,w \ x)) = (a(y,z,u) * w) * (w \ x).
a(x,y,L(z,u,w)) \ (w * (a(x,y,z) * u)) = T(w * (u * K(a(x,y,z),u)),a(x,y,z)).
a(x,y,L(z,u,x)) = a(x,y,z).
x * a(y,z,L(u,x,x)) = (1 / x) \ a(y,z,u).
((1 / x) \ a(y,z,u)) / x = a(y,z,L(u,x,x)).
L(a(x,y,L(z,u,w)),u,u) = (((1 / u) \ a(x,y,z)) * w) / (u * w).
a(x,y,L(z,(a(x,y,z) \ u) * z,w)) = (w * ((a(x,y,z) \ u) * z)) \ (w * (u * z)).
L(a(x,y,a(z,u,w) \ u),z,w) = a(x,y,L(u,w,z)).
a(x,y,L(z,z,a(u,w,w))) = L(a(x,y,z),w,a(w,z,u)).
a(x \ 1,y,L(z,u,w)) = L(a(x,y,z) \ 1,u,w).
L(a(L(x,x,y),y,z),u,w) = x \ R(x,y,L(z,u,w)).
a(x,y,L(L(z,z,y),u,w)) = L(L(z,y,x) \ z,u,w).
a(x,y,a(z,u,L(w,x,y))) = x \ R(x,y,a(z,u,w)).
a(x,y,L(L(z,x,y),u,w)) = L(x \ R(x,y,z),u,w).
a(x,y,L(z,u,w)) \ a(x,y,z) = a(w,u,a(x,y,z)).
((1 / x) \ a(y,z,u)) \ x = a(y \ 1,z,L(u,x,x)).
a(x,y,L(z,u,u)) \ u = (a(x,y,z) / u) \ 1.
a(a(x,y,z),u,w) * a(x,y,z) = a(x,y,L(z,u,w)).
a(x,y,z) \ a(x,y,L(z,u,w)) = a(a(x,y,z),u,w).
a(a(x,y,z),u,w) * a(z,y,x) = a(z,y,L(x,u,w \ 1)).
a(x,y,a(z,u,w)) * (a(z,u,w) \ v5) = a(z,u,L(w,y,x)) \ v5.
a(x,y,L(z,u,w)) \ (v5 * a(x,y,z)) = v5 * a(w,u,a(x,y,z)).
L(a(x,y,L(z,u,w)),w,w) \ a(x,y,z) = a(w,w,a(x,y,z)) * a(w,u,a(x,y,z)).
a(x,y,L(z,u,w)) \ a(y,y,a(x,z,z)) = (z \ L(z,y,x)) * a(w,u,a(x,y,z)).
a(a(x,y,L(z,u,w)),v5,v6) = L(a(v6,v5,a(z,y,x)),u,w).
x \ ((x * y) * a(y,z,u)) = y * a(y,z,L(u,y,x)).
a(x \ 1,y,L(z,x,u)) = a(u \ (x \ u),y,z).
a(x \ (y \ x),z,u) = a(y \ 1,z,L(u,y,x)).
a(x,y,L(z,u,a(w,v5,v5))) = L(a(x,y,z),v5,a(v5,u,w)).
a(x,y,L(z,u,w \ 1)) = L(a(x,y,z),u,w \ z).
L(a(x,y,z),u,w \ z) = a(x,y,L(z,u,w \ 1)).
a(x,y,L(z,u,w * x)) = L(a(x,y,z),u,w).
x * L(x \ a(y,z,u),w,a(y,z,u)) = a(y,z,L(u,w,x)).
L(x,y,a(z,u,w)) * a(z,u,L(w,y,x)) = x * a(z,u,w).
a(a(x,y,L(z,u,w)),v5,v6) = a(a(x,y,z),v5,L(v6,u,w)).
a(x,y,L(z,u,a(w,v5,v5))) * a(w,v5,a(v5,u,a(x,y,z))) = a(x,y,z).
x \ (a(y,z,z) \ L(a(y,z,z) * x,u,a(w,v5,v6))) = a(a(y,z,z) * x,u,L(a(w,v5,v6),x,a(y,z,z))).
R(a(x,y,L(z,u \ 1,u)),L(u,u,a(z,y,x)),L(w,u,a(x,y,z))) = (a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)).
a(x,y,a(z,u,L(w,v5,v6))) = L(a(x,y,a(z,u,w)),v5,v6).
a(x,y,z \ x) = a(x,y,(x \ z) \ 1).
a(x,y,(x \ z) \ 1) = a(x,y,z \ x).
a(x,y,a(z,u,x) \ u) = a(x,y,L(u,x,z)).
a(x,y,L(z,u,w)) * (T(u,v5) * w) = (a(x,y,z) * T(u,v5)) * w.
a(x,y,L(z,u,w)) = a(x,y,L(z,u,w * x)).
a(x,y,L(z,u,w * x)) = a(x,y,L(z,u,w)).
a(x,y,L(z,x,u)) = a(x,y,a(x,z,u) * z).
a(x,y,a(x,z,u) * z) = a(x,y,L(z,x,u)).
a(x,y,L(z,u,w)) \ a(y,y,a(x,L(z,u,w * x),L(z,u,w * x))) = L(z,u,w * x) \ L(L(z,u,w * x),y,x).
a(a(x,y,z),u,L(w,a(x,y,z),v5)) = a(a(a(x,y,z),w,v5) * w,u,a(z,y,x)).
a(a(a(x,y,z),u,w) * u,v5,a(z,y,x)) = a(a(x,y,z),v5,L(u,a(x,y,z),w)).
(x / y) * (y * a(z,u,L(w,y,y))) = ((1 / y) \ a(z,u,w)) * (y \ x).
(x * a(y,z,L(u,x,x))) * (x \ w) = x * (((a(y,z,u) / x) \ 1) \ w).
a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w) = a((z * a(x,y,y)) \ 1,u,L(w,z * a(x,y,y),R(x,y,y))).
a((x * a(y,z,z)) \ 1,u,L(w,x * a(y,z,z),R(y,z,z))) = a(R(y,z,z) \ L(x \ y,x,a(y,z,z)),u,w).
a(x,y,L(z,u,w \ z)) = a(x,y,L(z,u,w \ 1)).
a(x,y,L(z,u,w \ 1)) = a(x,y,L(z,u,w \ z)).
(a(x,y,z) * u) * w != v5 * (u * w) | a(x,y,L(z,u,w)) = v5.
L(a(x,y,a(z,u,w) * u),w,z) = a(x,y,L(u,z,w)).
L(x \ R(x,y,z),u,w) = x \ R(x,y,L(z,u,w)).
x * L(x \ R(x,y,z),u,w) = R(x,y,L(z,u,w)).
a(x,y,L(L(z,u,w),z,y)) = L(L(z,y,x) \ z,u,w).
a(x,y,a(z,u,L(w,x,y))) = x \ L(x,y,a(z,u,w)).
a(x,y,a(z,u,w)) * a(z,u,L(w,y,x)) = a(z,u,w).
(x \ R(x,y,z)) \ a(x,y,L(L(z,x,y),u,w)) = a(a(x,y,L(z,x,y)),u,w).
a(x,y,L(z,u,w)) \ a(x,y,a(u,z,w) * z) = a(u,w,a(x,y,a(u,z,w) * z)).
a(x,y,L(a(z,u,w) * u,w,z)) = a(x,y,L(u,z,w)).
a(x,y,a(z,u,L(w,x,v5))) = a(x,y,a(z,u,a(x,w,v5) * w)).
a(x,y,a(z,u,a(x,w,v5) * w)) = a(x,y,a(z,u,L(w,x,v5))).
a(x,y,a(z,u,L(w,x,y))) = a(x,y,a(z,u,w)).
a(x,y,L(z,z,a(u,w,w))) = a(x,y,z).
a(x,y,a(z,u,w) \ w) = a(x,y,L(w,u,z)).
a(x,y,z * a(u \ 1,w,z)) = a(x,y,L(z,w,u)).
a(x,y,a(z,u,w) * w) = a(x,y,L(w,u,z \ 1)).
a(x,y,L(z,u,w \ 1)) = a(x,y,a(w,u,z) * z).
a(x,y,a(z,u,w) * w) = a(x,y,L(w,u,z \ w)).
a(x,y,L(z,u,w \ z)) = a(x,y,a(w,u,z) * z).
a(x,y,L(a(z,u,w) * w,v5,v6)) = L(a(x,y,L(w,u,z \ w)),v5,v6).
a(x,y,L(z,x,a(u,w,w))) = a(x,y,z).
a(a(L(a(x,y,z) * y,z,x),u,y),w,L(v5,x,z)) = 1.
a(a(x,y,z),u,L(w,v5,v6)) = a(w,u,a(z,y,L(x,v5,v6))).
a(L(x,y,z),u,a(w,v5,v6)) = a(x,u,a(w,v5,L(v6,y,z))).
a(a(x,y,L(z,u,w)),v5,v6) = a(v6,v5,a(z,y,L(x,u,w))).
a(a(L(x,y,z),u,w),v5,v6) = a(a(x,u,w),v5,L(v6,y,z)).
a(x,y,a(z,u,L(w,x,v5))) = a(a(z,u,w),y,v5 \ (x \ v5)).
a(a(x,y,z),u,w \ (v5 \ w)) = a(v5,u,a(x,y,L(z,v5,w))).
a(x,y,a(z,u,L(z \ w,v5,v6))) = a(a(z,u,w \ z),y,L(x,v5,v6)).
a(a(x,y,z \ x),u,L(w,v5,v6)) = a(w,u,a(x,y,L(x \ z,v5,v6))).
(x \ y) * a(x,z,a(u,w,L(v5,x,y))) = L(x,z,a(v5,w,u)) \ y.
a(x,y,a(z,u,L(w,v5,v6))) = a(x,y,a(L(z,v5,v6),u,w)).
a(x,y,a(L(z,u,w),v5,v6)) = a(x,y,a(z,v5,L(v6,u,w))).
a(a(a(x,y,z) * y,u,y),w,L(L(v5,x,z),z,x)) = 1.
L(a(x,y,L(z,u,w)),L(w,u,a(x,y,z)) \ 1,L(w,u,a(x,y,z))) \ (w * a(x,y,z)) = R(T(L(w,u,a(x,y,z)),a(x,y,L(z,u,w))),L(w,u,a(x,y,z)) \ 1,a(x,y,L(z,u,w))).
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = L(a(z,u,L(w,y,x)),L(x,y,a(z,u,w)) \ 1,L(x,y,a(z,u,w))) \ (x * a(z,u,w)).
a(x,y,a(z,u,w)) * a(a(z,u,w),v5,v6) = a(z,u,L(w,y,x)) \ a(z,u,L(w,v5,v6)).
a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = a(w,u,a(x,y,z)) * a(a(x,y,z),v5,v6).
(a(x,y,z) * T(u,w)) * v5 != v6 * (T(u,w) * v5) | a(x,y,L(z,u,v5)) = v6.
a(x,y,a(z,u,L(w,x,v5))) * (x \ v5) = L(x,y,a(w,u,z)) \ v5.
a(x,y,L(L(z,u,w),u,u)) = (((1 / u) \ a(x,y,z)) * w) / (u * w).
a(x,y,L(L(z,u,w \ z),v5,v6)) = a(x,y,L(a(w,u,z) * z,v5,v6)).
a(x,x,a(y,z,L(y \ u,w,v5))) = a(u \ y,x,a(L(y,w,v5),z,x)).
a(x \ y,z,a(L(y,u,w),v5,z)) = a(z,z,a(y,v5,L(y \ x,u,w))).
a(x \ y,z,a(L(y,u,w),v5,z)) = a(z,z,a(y,v5,L(x,u,w))).
a(x,x,a(y,z,L(u,w,u))) \ x = L(x,x,a(y,z,u \ y)).
L(x,x,a(y,z,u \ y)) = a(x,x,a(y,z,L(u,w,u))) \ x.
L(x,x,a(y,z,u \ y)) = a(x,x,a(y,z,u)) \ x.
L(x,x,a(y,z,u \ y)) = L(x,x,a(y,z,u)).
L(L(L(x,y,z),L(x,y,z),a(u,w,v5)),y,z \ 1) = L(x,L(x,y,z),a(u,w,v5 \ u)).
a(x,y,L(z \ 1,u,a(w,v5,v5))) * a(w,v5,a(v5,u,a(z,y,x))) = a(x,y,z \ 1).
(x / y) * ((1 / y) \ a(z,u,w)) = ((1 / y) \ a(z,u,w)) * (y \ x).
((1 / x) \ a(y,z,u)) * (x \ w) = (w / x) * ((1 / x) \ a(y,z,u)).
((1 / x) \ a(y,z,u)) * (x \ w) = x * (((a(y,z,u) / x) \ 1) \ w).
x * (((a(y,z,u) / x) \ 1) \ w) = (w / x) * ((1 / x) \ a(y,z,u)).
(x / y) * ((1 / y) \ a(z,u,w)) = y * (((a(z,u,w) / y) \ 1) \ x).
x * (((a(y,z,u) / x) \ 1) \ (a(y,z,u) \ w)) = L(w,x,a(u,z,y)).
(x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w) = a(a(x,y,L(z,x,y)),u,w).
a(a(a(x,y,z),u,w) * u,v5,a(z,y,x)) = a(a(x,y,z),v5,u).
(x \ L(x,y,z)) * a(u,w,a(z,y,x)) = L(x \ L(x,y,z),w,u).
L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x) = a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) = w * (L(w,u,z) \ L(w \ L(w,u,z),y,x)).
x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) = a(w,u,a(z,y,x)).
L(x,y,z) \ (x * L(x \ L(x,y,z),u,w)) = a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) \ w = L(L(w,u,z) / w,y,x) \ L(w,u,z).
L(L(x,y,z) / x,u,w) \ L(x,y,z) = a(w,u,a(z,y,x)) \ x.
L(x,y,z) * a(u,w,a(z,y,x)) = x * L(x \ L(x,y,z),w,u).
L(L(x,y,z) / x,u,w) \ L(x,y,z) = x * a(a(z,y,x),u,w).
L(x \ L(x,y,z),u,w) \ L(x,y,z) = x * a(a(z,y,x),u,w).
x * a(a(y,z,x),u,w) = L(x,z,y) * L(L(x,z,y) \ x,u,w).
L(x,y,z) * L(L(x,y,z) \ x,u,w) = x * a(a(z,y,x),u,w).
a(x,y,L(z,u,w)) \ a(x,y,a(u,z,w) * z) = a(u,w,a(x,y,L(z,u,w))).
a(x,y,L(z,u,w)) \ a(x,y,a(u,z,w) * z) = a(u,w,a(x,y,z)).
a(x,y,L(z \ 1,z,a(u,w,w))) * 1 = a(x,y,z \ 1).
a(x,y,L(z \ 1,z,a(u,w,w))) = a(x,y,z \ 1).
a(x,y,a(z,u,u) \ (w \ a(z,u,u))) = a(x,y,w \ 1).
a(x,y,z \ 1) = a(x,y,a(u,u,w) * (z \ a(w,u,u))).
a(x,y,a(z,z,u) * (w \ a(u,z,z))) = a(x,y,w \ 1).
a(x,y,T(z,u) \ 1) = a(x,y,a(w,w,v5) * (z \ a(v5,w,w))).
a(x,y,T(a(z,u,u) \ w,v5) \ 1) = a(x,y,a(u,u,z) * (a(z,u,u) * (w \ a(z,u,u)))).
a(x,y,L(L(z,u,w),w,w)) \ a(x,y,z) = a(w,w,a(x,y,z)) * a(w,u,a(x,y,z)).
L(L(L(x,y,z),x,L(a(u,w,v5),y,z)),y,z \ 1) = L(x,L(x,y,z),a(u,w,v5 \ u)).
L(x,L(x,y,z),a(u,w,v5 \ u)) = L(x,x,L(a(u,w,v5),y,z)).
L(x,x,a(y,z,L(u,w,v5))) = L(x,L(x,w,v5),a(y,z,u \ y)).
L(x,L(x,y,z),a(u,w,v5 \ u)) = L(x,x,a(u,w,L(v5,y,z))).
L(x,x,a(y,z,L(u,w,v5))) = L(x,x,L(a(y,z,u \ y),w,v5)).
L(x,x,L(a(y,z,u \ y),w,v5)) = L(x,x,a(y,z,L(u,w,v5))).
L(x,x,a(y,z,L(z,u,w))) = L(x,x,a(z,z,y)).
L(x,x,a(y,y,z)) \ R(x,y,z) = L(x \ R(x,y,z),x,L(y,u,w)).
L(x \ R(x,y,z),x,L(y,u,w)) = L(x,x,a(y,y,z)) \ R(x,y,z).
L(x \ R(x,y,z),x,L(y,u,w)) = L(x \ R(x,y,z),x,y).
a(x,y,z) = L(x \ R(x,y,z),x,L(y,u,w)).
L(x \ R(x,y,z),x,L(y,u,w)) = a(x,y,z).
L(a(x,y,z),u,w) = a(L(x,u,w),y,z).
a(L(x,y,z),u,w) = L(a(x,u,w),y,z).
(x * y) * a(L(z,y,x),u,w) = x * (y * a(z,u,w)).
a(L(x,y,z),u,w) * (y * z) = (a(x,u,w) * y) * z.
a(L(x,y,z),u,z) = a(x,u,z).
a(x,y,L(z,u,w)) = a(L(x,u,w),y,z).
a(L(x,y,z),u,w) = a(x,u,L(w,y,z)).
L(x,y,L(z,u,x)) = (a(z,y,x) * y) \ (y * x).
a((x * y) \ z,u,w) = a(y \ (x \ z),u,L(w,y,x)).
a(x \ (y \ z),u,L(w,x,y)) = a((y * x) \ z,u,w).
a(x \ (y * z),u,w) = a((y \ x) \ z,u,L(w,y \ x,y)).
a((x \ y) \ z,u,L(w,x \ y,x)) = a(y \ (x * z),u,w).
a(x \ y,z,L(u,x,w)) = a((x * w) \ (y * w),z,u).
a((x * y) \ (z * y),u,w) = a(x \ z,u,L(w,x,y)).
a(x \ y,z,L(u,x,x \ w)) = a(w \ ((x \ w) * y),z,u).
a(x \ ((y \ x) * z),u,w) = a(y \ z,u,L(w,y,y \ x)).
a(x,y,L(z,u,w)) = a(R(x,u,w),y,z).
a(R(x,y,z),u,w) = a(x,u,L(w,y,z)).
a(x * (y \ 1),z,L(u,y,y)) = a(y \ x,z,u).
a(x * y,z,L(u,y,y)) = a((y \ 1) \ x,z,u).
a(x * (y \ (x \ z)),u,L(w,y,x)) = a(x * ((x * y) \ z),u,w).
a(x \ y,z,L(u,x \ y,y)) = a((y \ x) \ 1,z,u).
a((x * y) \ 1,z,L(u,y,y)) = a(y \ (x \ 1),z,u).
a((x \ (y \ x)) \ L(z,y,x),u,w) = a((y \ 1) \ z,u,L(w,y,x)).
a(((x \ 1) * y) \ z,u,L(w,x,x)) = a((x \ y) \ L(z,x,x),u,w).
a(a(x,y,z) * y,u,L(w,z,x)) = a(L(y,x,z),u,w).
a(x * (L(x,y,y \ 1) \ R(x,z,y)),u,w) = a(x,u,L(w,z * y,y)).
a(x \ y,z,L(u,x,x)) = a((x \ 1) * y,z,u).
a((x * (y \ 1)) * y,z,u) = a(x,z,L(u,y,y)).
a(x \ a(y,y,z),u,L(w,x,z)) = a((z * x) \ L(z,y,y),u,w).
a((L(x,y,z) \ 1) \ u,w,L(v5,x,x)) = a(L(x,y,z) * u,w,v5).
L(x,y,z) = L(x,y,L(z,u,x)).
L(x,y,L(z,u,x)) = L(x,y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,L(z,v5,x)).
L(L(x,y,z),u,L(w,v5,x)) = L(L(x,u,w),y,z).
a(x * (a(x,x,y) \ (z \ 1)),u,L(w,z,z)) = a(z \ (a(x,x,y) \ x),u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,1 / L(x,x,y \ 1),1 / L(x,x,y \ 1))) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a(R(x * (y / z),x \ 1,z),u,w) = a(y / ((x \ 1) * z),u,L(w,x,x)).
L(L(x,y,z),u,a(w,v5,L(v6,v7,x))) = L(L(x,u,a(w,v5,v6)),y,z).
(a(x,y,z) * u) * w != v5 * (u * w) | a(L(x,u,w),y,z) = v5.
a(((x * (y \ 1)) * y) \ (z * a(y \ x,y,y \ 1)),u,w) = a(x \ z,u,L(w,x,a(y \ x,y,y \ 1))).
a(a(x,y,z) * y,u,L(w,z,x)) = a(y,u,L(w,x,z)).
a((x \ y) \ (z * a(u,z,z)),w,L(v5,x \ y,x)) = a(y \ (x * L(z,z,u \ 1)),w,v5).
a((L(x,y,z) \ x) * (x \ u),w,v5) = a(L(x,y,z) \ u,w,L(v5,L(x,y,z),L(x,y,z) \ x)).
a(L(x,y,z) \ u,w,L(v5,L(x,y,z),L(x,y,z) \ x)) = a((L(x,y,z) \ x) * (x \ u),w,v5).
a(L(x \ 1,y,z) \ u,w,L(v5,x,x)) = a(L(x,y,z) * u,w,v5).
a((x \ y) \ L(z,x,x),u,w) = a((y * (x \ 1)) \ z,u,L(w,x,x)).
a((x * (y \ 1)) \ z,u,L(w,y,y)) = a((y \ x) \ L(z,y,y),u,w).
a(x * ((R(x,y,z) / (z * x)) * z),u,w) = a(x,u,L(w,y * z,z)).
a(a(x,x,y) \ R(y,z,x),u,w) = a(y,u,L(w,z * x,x)).
a(R(a(x,x,y) \ y,z,x),u,w) = a(y,u,L(w,z * x,x)).
a(R(L(x,y,y),z,y),u,w) = a(x,u,L(w,z * y,y)).
a(L(R(x,y,z),z,z),u,w) = a(x,u,L(w,y * z,z)).
a(x,y,L(z,u * w,w)) = a(R(x,u,w),y,L(z,w,w)).
a(R(x,y,z),u,L(w,z,z)) = a(x,u,L(w,y * z,z)).
a(x,y,L(z,u * w,w)) = a(x,y,L(L(z,w,w),u,w)).
a(x,y,L(L(z,u,u),w,u)) = a(x,y,L(z,w * u,u)).
a(x,y,L(L(z,u,w),w,w)) = a(x,y,L(z,u * w,w)).
a(x,y,L(z,u,w)) = a(x,y,L(a(w,w,z) * z,u * w,w)).
a(x,y,L(a(z,z,u) * u,w * z,z)) = a(x,y,L(u,w,z)).
x \ R(x,L(L(y,z,z),u,z),L(L(y,z,z),u,z)) = a(x,L(L(y,z,z),u,z),L(y,u * z,z)).
a(x,y,L(z,u * w,w)) \ a(y,y,a(x,L(L(z,w,w),u,w),L(L(z,w,w),u,w))) = L(L(z,w,w),u,w) \ L(L(L(z,w,w),u,w),y,x).
a(x \ a(y,x,x),y,L(z,u * w,w)) = R(x,y,L(L(z,w,w),u,w)) \ x.
a(x,y,L(z \ (u * (w * (u \ z))),u,u)) = a(x,y,L(T(w,u \ z),(u \ z) * u,u)).
a(x,y,L(z,u * w,w)) \ a(x,y,z) = a(w,w,a(x,y,z)) * a(w,u,a(x,y,z)).
a(x,x,a(y,z,u)) * a(x,w,a(y,z,u)) = a(y,z,L(u,w * x,x)) \ a(y,z,u).
a(x,y,L(L(z,u,u \ z),w * u,u)) = a(x,y,L(z,w,u)).
a(R(x * (y / z),x \ 1,z),u,w) = a(((x \ 1) * z) \ y,u,L(w,x,x)).
R(x,y,L(L(z,u,u),w,u)) \ x = R(x,y,L(z,w * u,u)) \ x.
R(x,y,L(L(z,u,w),w,w)) \ x = R(x,y,L(z,u * w,w)) \ x.
a(R(x * (y / z),x \ 1,z),u,w) = a((x \ z) \ L(y,x,x),u,w).
a((x \ y) \ L(z,x,x),u,w) = a(x * (z / y),u,L(w,x \ 1,y)).
a(x \ (a(y,y,z) \ y),u,w) = a(y * ((x \ 1) * a(z,y,y)),u,L(w,x,x)).
a(x * ((y \ 1) * a(z,x,x)),u,L(w,y,y)) = a(y \ (a(x,x,z) \ x),u,w).
a(x,x,a(y,z,u)) * a(x,w,a(y,z,u)) = a(x,w * x,a(y,z,u)).
a(x,y,L(z \ (u * (w * (u \ z))),u,u)) = a(x,y,L(T(w,u \ z),z,u)).
a(x,y,L(z \ (u * (w * (u \ z))),u,u)) = a(x,y,L(w,z,u)).
a(x,y,L(z,u,w)) \ (w * (a(x,y,z) * u)) = T(w * (u * 1),a(x,y,z)).
a(x,y,L(z,u,w)) \ (w * (a(x,y,z) * u)) = T(w * u,a(x,y,z)).
a(x,y,L(z,u,w)) \ (w * (a(x,y,z) * u)) = w * u.
a(x,y,T(a(z,u,u) \ w,v5) \ 1) = a(x,y,w \ a(z,u,u)).
a(x,y,a(z,u,u) * (T(w,v5) \ 1)) = a(x,y,w \ a(z,u,u)).
a(x,y,a(z,u,u) * (w \ 1)) = a(x,y,w \ a(z,u,u)).
a(x,y,a(z,u,u) * ((w \ a(z,u,u)) \ 1)) = a(x,y,w).
x \ R(x,L(y,z,z),L(y,z,z)) = a(x,L(L(y,z,z),u,z),L(y,u * z,z)).
a(x,L(L(y,z,z),u,z),L(y,u * z,z)) = x \ R(x,L(y,z,z),L(y,z,z)).
a(x,L(L(y,z,z),u,z),L(y,u * z,z)) = x \ R(x,y,y).
a(x,L(L(y,z,z),u,z),L(y,u * z,z)) = a(x,y,y).
a(x \ y,z,L(u,x,a(w \ x,w,w \ 1))) = a(((x * (w \ 1)) * w) \ (a(w,w,w \ x) * y),z,u).
a(((x * (y \ 1)) * y) \ (a(y,y,y \ x) * z),u,w) = a(x \ z,u,L(w,x,a(y \ x,y,y \ 1))).
a(x \ y,z,L(u,x,a(w \ x,w,w \ 1))) = a(((x * (w \ 1)) * w) \ (a(w,w,x) * y),z,u).
a(((x * (y \ 1)) * y) \ (a(y,y,x) * z),u,w) = a(x \ z,u,L(w,x,a(y \ x,y,y \ 1))).
a(x \ y,z,L(u,x,a(w \ x,w,w \ 1))) = a(L(x,w,w) \ (a(w,w,x) * y),z,u).
a(L(x,y,y) \ (a(y,y,x) * z),u,w) = a(x \ z,u,L(w,x,a(y \ x,y,y \ 1))).
a(a(x,x,y) * (L(y,x,x) \ z),u,w) = a(y \ z,u,L(w,y,a(x \ y,x,x \ 1))).
a(x \ y,z,L(u,x,a(w \ x,w,w \ 1))) = a(a(w,w,x) * (L(x,w,w) \ y),z,u).
a(x \ y,z,L(u,x,a(w,w,w \ x))) = a(a(w,w,x) * (L(x,w,w) \ y),z,u).
a(x,y,L(z,u,w)) \ a(y,y,a(x,z,z)) = L(z,u,w * x) \ L(L(z,u,w * x),y,x).
L(x,y,z * u) \ L(L(x,y,z * u),w,u) = a(u,w,L(x,y,z)) \ a(w,w,a(u,x,x)).
L(x,y,z * u) \ L(L(x,y,z * u),w,u) = L(x \ L(x,w,u),y,z).
L(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w * z).
L(x \ L(x,y,z),u,w * z) = L(x \ L(x,y,z),u,w).
L(x \ L(x,y,z),u,z \ w) = L(x \ L(x,y,z),u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,1 / L(x,x,y \ 1),L(x,x,y \ 1) \ 1)) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,1 / L(x,x,y \ 1),L(x,x,y) \ 1)) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,1 / L(x,x,y \ 1),L(x \ 1,x,y))) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,L(x,x,y \ 1) \ 1,L(x \ 1,x,y))) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,L(x,x,y) \ 1,L(x \ 1,x,y))) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,L(x \ 1,x,y),L(x \ 1,x,y))) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,x \ 1,x \ 1)) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a(x,y,L(z,u * w,w)) \ a(y,y,a(x,L(L(z,w,w),u,w),L(z,u * w,w))) = L(L(z,w,w),u,w) \ L(L(L(z,w,w),u,w),y,x).
a(x,y,L(z,u * w,w)) \ a(y,y,a(x,z,z)) = L(L(z,w,w),u,w) \ L(L(L(z,w,w),u,w),y,x).
L(L(x,y,y),z,y) \ L(L(L(x,y,y),z,y),u,w) = a(w,u,L(x,z * y,y)) \ a(u,u,a(w,x,x)).
L(L(x,y,y),z,y) \ L(L(L(x,y,y),z,y),u,w) = L(x \ L(x,u,w),z * y,y).
L(x \ L(x,y,z),u * w,w) = L(L(x,w,w) \ L(L(x,w,w),y,z),u,w).
L(L(x,y,y) \ L(L(x,y,y),z,u),w,y) = L(x \ L(x,z,u),w * y,y).
L(L(x \ L(x,y,z),u,u),w,u) = L(x \ L(x,y,z),w * u,u).
L(x \ L(x,y,z),u * w,w) = L(L(x \ L(x,y,z),u,w),w,w).
L(L(x \ L(x,y,z),u,w),w,w) = L(x \ L(x,y,z),u * w,w).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = L(x,x,a(y \ 1,w,L(w,z,u))) \ (x * a(L(y \ 1,z,u),w,x)).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = L(x,x,a(w,w,y \ 1)) \ (x * a(L(y \ 1,z,u),w,x)).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = L(x,x,a(w,w,y * 1)) \ (x * a(L(y \ 1,z,u),w,x)).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = L(x,x,a(w,w,y)) \ (x * a(L(y \ 1,z,u),w,x)).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = L(x,x,a(w,w,y)) \ (a(L(y,z,u),w,x) \ x).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = a(L(y,z,u),w,x) \ a(a(w,w,y),x,x).
(x * a(L(y \ 1,z,u),w,x)) \ L(x * a(L(y \ 1,z,u),w,x),w,L(y,z,u)) = a(L(y,z,u),w,x) \ a(w,w,a(y,x,x)).
(a(L(x,y,z),u,w) \ w) \ L(w * a(L(x \ 1,y,z),u,w),u,L(x,y,z)) = a(L(x,y,z),u,w) \ a(u,u,a(x,w,w)).
(a(L(x,y,z),u,w) \ w) \ L(a(L(x,y,z),u,w) \ w,u,L(x,y,z)) = a(L(x,y,z),u,w) \ a(u,u,a(x,w,w)).
a(L(x,y,z),u,w) \ a(u,u,a(x,w,w)) = w \ L(w,u,L(x,y,z)).
a(x,y,L(z,u,w)) \ a(y,y,a(x,z,z)) = z \ L(z,y,L(x,u,w)).
x \ L(x,y,L(z,u,w)) = L(x \ L(x,y,z),u,w).
L(x \ L(x,y,z),u,w) = x \ L(x,y,L(z,u,w)).
x * L(x \ L(x,y,z),u,w) = L(x,y,L(z,u,w)).
L(x \ L(x,y,z),u,w) * x = L(x,y,L(z,u,w)).
L(x,y,z) * L(L(x,y,z) \ x,u,w) = L(L(x,y,z),y,L(z \ 1,u,w)).
L(L(x,y,z),u,a(u,y,z)) = L(x,y,L(z,u,u)).
L(x,y,z) * a(u,w,a(z,y,x)) = L(x,y,L(z,w,u)).
x * L(x \ L(x,y,z),u,w) = L(x,y,L(z,u,z \ w)).
L(x,y,L(z,u,z \ w)) = x * L(x \ L(x,y,z),u,w).
a(x,x,a(y,z,u)) * L(u,z,L(y,w,x)) = L(L(L(u,z,y) \ u,w,x),x,x) \ u.
L(L(L(x,y,z) \ x,u,w),w,w) \ x = a(w,w,a(z,y,x)) * L(x,y,L(z,u,w)).
L(x,y,L(z,u,z \ w)) = L(x,y,L(z,u,w)).
L(x,y,L(z \ u,w,z)) = L(x,y,L(z \ u,w,u)).
L(x,y,L(z \ u,w,u)) = L(x,y,L(z \ u,w,z)).
L(x,y,L((z \ u) \ w,z,w)) = L(x,y,(u \ w) * L(z,z,u)).
L(L(x,y,z),y,L(z \ 1,u,w)) = x * a(a(z,y,x),u,w).
L(x * a(a(y \ 1,z,x),u,w),z,y) = L(x,z,L((y \ 1) \ 1,u,w)).
L(x * a(y,z,a(u,w,x)),w,u) = L(x,w,L((u \ 1) \ 1,z,y)).
L(x * a(y,z,a(u,w,x)),w,u) = L(x,w,L(u,z,y)).
L(x * a(a(y,z,x),u,w),z,y) = L(x,z,L(y,u,w \ 1)).
L(x,y,L(z,u,L(x,w,v5 \ 1))) = L(x,y,z * a(a(x,u,z),w,v5)).
K(L(R(x \ 1,y,z),u,w),x) * (((R(x,y,z) * R(x,y,z)) \ R(x,y,z)) \ L(T(R(x,y,z) \ 1,R(x,y,z)),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
((x \ (1 / (y \ (y / x)))) \ ((x * (y \ (y / x))) \ z)) * ((x * (y \ (y / x))) \ 1) = L(z * ((x * (y \ (y / x))) \ 1),x * (y \ (y / x)),x * (y \ (y / x))).
a(x * K(y,y \ z),x * K(y,y \ z),L(u,x / ((y \ z) * y),x / ((y \ z) * y))) = a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u).
a(x * K(y,y \ z),x * K(y,y \ z),L(u,x / ((y \ z) * y),((y \ z) * y) \ x)) = a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u).
a(x * K(y,y \ z),x * K(y,y \ z),L(u,x / ((y \ z) * y),z \ x)) = a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u).
a(x * K(y,y \ z),x * K(y,y \ z),L(u,((y \ z) * y) \ x,z \ x)) = a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u).
a(x * K(y,y \ z),x * K(y,y \ z),L(u,z \ x,z \ x)) = a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u).
a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u) = a(x * K(y,y \ z),x,L(u,z \ x,z \ x)).
a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u) = a(x,x,L(u,z \ x,z \ x)).
a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u) = a(x,x,L(u,z \ x,z)).
a((x / ((y \ z) * y)) * z,((x / ((y \ z) * y)) \ 1) \ z,u) = a(x,x,L(u,z,z)).
a(x * K(y,y \ z),((x / ((y \ z) * y)) \ 1) \ z,u) = a(x,x,L(u,z,z)).
a(x * K(y,y \ z),((x / z) \ 1) \ (y * (z / y)),u) = a(x,x,L(u,z,z)).
a(x,x,L(y,z,z)) = a(x * K(u,u \ z),((x / z) \ 1) \ (u * (u \ z)),y).
a(x * K(y,y \ z),((x / z) \ 1) \ (y * (y \ z)),u) = a(x,x,L(u,z,z)).
a(x * K(y,y \ z),((x / z) \ 1) \ z,u) = a(x,x,L(u,z,z)).
a(x,x,L(y,z,z)) = a(x * K(u,u \ z),((z \ x) \ 1) \ z,y).
a(x * K(y,y \ z),((z \ x) \ 1) \ z,u) = a(x,x,L(u,z,z)).
a(x,x,L(y,z,z)) = a(x,((z \ x) \ 1) \ z,y).
a(x,((y \ x) \ 1) \ y,z) = a(x,x,L(z,y,y)).
a(((x \ y) \ 1) \ x,y,z) = a(y,y,L(z,x,x)).
(((x / y) \ 1) \ y) \ R(((x / y) \ 1) \ y,x,z) = a(x,x,L(z,y,y)).
a(x,x,L(y,z,z)) = (x / z) \ (z \ R(z * (x / z),x,y)).
(x / y) \ (y \ R(y * (x / y),x,z)) = a(x,x,L(z,y,y)).
a(x,x,L(y,z,z)) = (z \ x) \ (z \ R(x,x,y)).
(x \ y) \ (x \ R(y,y,z)) = a(y,y,L(z,x,x)).
(x \ y) * a(y,y,L(z,x,x)) = x \ R(y,y,z).
(x \ y) * a(y,a(y,z,u),L(w,x,x)) = x \ R(y,y,w \ R(w,z,u)).
x \ R(y,y,z \ R(z,u,w)) = (x \ y) * a(y,a(y,u,w),L(z,x,x)).
x \ L(y,y,z \ L(z,u,w)) = (x \ y) * a(y,a(y,u,w),L(z,x,x)).
x \ L(y,a(y,z,u),w) = (x \ y) * a(y,a(y,z,u),L(w,x,x)).
(x \ y) * a(y,a(y,z,u),L(w,x,x)) = x \ L(y,a(y,z,u),w).
(x \ y) * a(y,y,a(L(z,x,x),u,w)) = x \ L(y,a(y,u,w),z).
(x \ y) * a(y,y,a(L(z,x,x),u,w)) = x \ L(y,y,a(z,u,w)).
(x \ y) * a(y,y,a(z,u,L(w,x,x))) = x \ L(y,y,a(z,u,w)).
(x \ y) * a(z,y,a(y,u,w)) = x \ L(y,y,a(w,u,z)).
(x \ y) * a(z,y,a(u,w,y)) = x \ L(y,y,a(u,w,z)).
(L(x,y,z) \ x) * a(y,x,a(z,y,x)) = a(z,y,x).
L(L(x,y,z) \ x,u,w) * a(y,L(x,u,w),a(z,y,L(x,u,w))) = a(z,y,L(x,u,w)).
L(L(x,y,z) \ x,u,w) * a(z,y,a(y,x,x)) = a(z,y,L(x,u,w)).
L(L(x,y,z) \ x,x,u) * a(z,y,a(y,x,x)) = a(z,y,L(x,x,u \ 1)).
L(L(x,y,z) \ x,u,u) * a(z,y,a(y,x,x)) = a(z,y,L(x,u,u \ 1)).
a(x,y,L(z,z,u \ 1)) = a(x,y,L(z,z,u)).
a(x,y,L(z,z,u)) = a(x,y,u \ ((z \ 1) \ u)).
a(x,y,z \ (((z \ u) \ 1) \ z)) = a(x,y,(u \ z) \ 1).
a(x,y,((((a(z,u,u \ 1) \ w) \ 1) \ a(z,u,u \ 1)) / u) * (z \ (z / (u \ 1)))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,L(z,u,u \ 1)) = a(x,y,L(z,u,u)).
a(x,y,L(L(z,u,u \ 1),w,v5)) = a(x,y,L(L(z,w,v5),u,u)).
a(x,y,L(z,u \ 1,u)) = a(x,y,L(z,u,u)).
a(x,y,L(z * a(u,u,z),w,v5)) = a(x,y,L(L(z,w,v5),u,u)).
R(a(x,y,L(z,u,u)),L(u,u,a(z,y,x)),L(w,u,a(x,y,z))) = (a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)).
a(x,y,L(L(z,u,w),v5,v5)) = a(x,y,L(L(z,v5,v5 \ z),u,w)).
a(x,y,L(L(z,u,u \ z),w,v5)) = a(x,y,L(L(z,w,v5),u,u)).
a(x,y,L(L(z,z,u),u,u)) = a(x,y,L(z,u \ z,u)).
a(x,y,L(z,u \ z,u)) = a(x,y,L(z,z * u,u)).
a(x,y,L(z,z * u,u)) = a(x,y,u * ((z \ u) \ 1)).
a(x,y,L(z,u * z,u)) = a(x,y,u * ((z \ u) \ 1)).
a(x,y,L(a(z,z,u) * w,w,a(u,z,z))) = a(x,y,a(u,z,z) * (((a(z,z,u) * w) \ a(u,z,z)) \ 1)).
a(x,y,L(L(z,u * w,w),w,w)) = a(x,y,L(z,u,w)).
a(x,y,L(z,u,w)) = a(x,y,L(z,(u * w) * w,w)).
a(x,y,L(z,(u * w) * w,w)) = a(x,y,L(z,u,w)).
a(x,y,L(z,u * w,u)) = a(x,y,L(z,u \ w,u)).
a(x,y,L(z,u \ w,u)) = a(x,y,L(z,u * w,u)).
a(x,y,z \ (u * (w * (u \ z)))) = a(x,y,L(w,u * z,u)).
a(x,y,(z \ (u * w)) * ((z \ w) \ 1)) = a(x,y,L(u,w * z,w)).
a(x,y,L(z,u * w,u)) \ a(x,y,z) = a(u,u \ w,a(x,y,z)).
a(x,y,z) \ a(x,y,L(z,u * w,u)) = a(a(x,y,z),u \ w,u).
a(x,x \ y,a(z,u,w)) = a(x,x * y,a(z,u,w)).
L(x,y,z) * a(u,u * w,a(z,y,x)) = L(x,y,L(z,u \ w,u)).
a(a(x,y,z),u \ w,u) = a(a(x,y,z),u * w,u).
a(a(x,y,z),u * w,u) * u = L(u,u \ w,a(z,y,x)).
x * a(a(y * x,z,u),y * w,y) = L(x,y \ w,a(y * x,z,u)).
L(x * a(a(y,z,x),u * w,u),z,y) = L(x,z,L(y,u \ w,u \ 1)).
L(x,x \ y,a(z,u,w)) = L(x,x * y,a(z,u,w)).
L(x,y,L(z,u \ w,u)) = L(x,y,L(z,u * w,u)).
L(x,y,((z \ u) \ 1) * (z \ (w * u))) = L(x,y,L(w,u * z,u)).
L(x,y \ z,a(y * x,u,w)) = L(x,y * z,a(y * x,u,w)).
L(x,y,L(z,u \ w,u \ 1)) = L(x,y,L(z,u * w,u \ 1)).
L(x,y,(z \ u) \ (z \ (w * u))) = L(x,y,L(w,z * u,z \ 1)).
a(x,y,(1 / z) \ a(u,u,w)) = a(x,y,a(w,u,u) * (((a(u,u,w) * z) \ a(w,u,u)) \ 1)).
a(x,y,a(z,u,u) * (((a(u,u,z) * w) \ a(z,u,u)) \ 1)) = a(x,y,(1 / w) \ a(u,u,z)).
a(x,y,a(z,u,u) * (((a(u,u,z) * w) \ a(z,u,u)) \ 1)) = a(x,y,(w \ 1) \ a(u,u,z)).
a(x,y,(z \ 1) \ a(u,u,w)) = a(x,y,a(u,u,w) * z).
a(x,y,((((z \ 1) * a(u,w,w \ 1)) \ a(u,w,w \ 1)) / w) * (u \ (u / (w \ 1)))) = a(x,y,(z \ a(u,w,w \ 1)) \ 1).
a(x,y,((a(z,u,u \ 1) \ ((w \ 1) \ a(z,u,u \ 1))) / u) * (z \ (z / (u \ 1)))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,(a(z,u,u \ 1) \ (((w \ 1) \ a(z,u,u \ 1)) / u)) * (z \ (z / (u \ 1)))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,(a(u,w,w \ 1) \ (((z \ 1) \ a(u,w,w \ 1)) / w)) * (u \ ((w \ 1) \ u))).
a(x,y,(a(z,u,u \ 1) \ (((w \ 1) \ a(z,u,u \ 1)) / u)) * (z \ ((u \ 1) \ z))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,(a(u,w,w \ 1) \ (w \ ((z \ 1) \ a(u,w,w \ 1)))) * (u \ ((w \ 1) \ u))).
a(x,y,(a(z,u,u \ 1) \ (u \ ((w \ 1) \ a(z,u,u \ 1)))) * (z \ ((u \ 1) \ z))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,(z \ (a(u,z,z \ 1) \ ((w \ 1) \ a(u,z,z \ 1)))) * (u \ ((z \ 1) \ u))) = a(x,y,(w \ a(u,z,z \ 1)) \ 1).
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,a(u,w,w) * (a(u,w,w \ 1) \ ((z \ 1) \ a(u,w,w \ 1)))).
a(x,y,a(z,u,u) * (a(z,u,u \ 1) \ ((w \ 1) \ a(z,u,u \ 1)))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,(a(u,w,w) * ((z \ 1) \ a(u,w,w \ 1))) * a(u,w,w)).
a(x,y,(a(z,u,u) * ((w \ 1) \ a(z,u,u \ 1))) * a(z,u,u)) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,a(z,u,u) * (((w \ 1) \ a(z,u,u \ 1)) * a(z,u,u))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,a(z * z,u,u) * ((w \ 1) \ a(z,u,u \ 1))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
K(R(x \ 1,y,z),x) * (((R(x,y,z) * R(x,y,z)) \ R(x,y,z)) \ L(T(R(x,y,z) \ 1,R(x,y,z)),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
K(x \ 1,x) * (((R(x,y,z) * R(x,y,z)) \ R(x,y,z)) \ L(T(R(x,y,z) \ 1,R(x,y,z)),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
K(x \ 1,x) * ((R(x * x,y,z) \ R(x,y,z)) \ L(T(R(x,y,z) \ 1,R(x,y,z)),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
K(x \ 1,x) * (R((x * x) \ x,y,z) \ L(T(R(x,y,z) \ 1,R(x,y,z)),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
K(x \ 1,x) * (R((x * x) \ x,y,z) \ L(T(R(x \ 1,y,z),R(x,y,z)),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
K(x \ 1,x) * (R((x * x) \ x,y,z) \ L(T(R(x \ 1,y,z),x),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
K(x \ 1,x) * (R((x * x) \ x,y,z) \ L(R(T(x \ 1,x),y,z),u,w)) = L(R(x,y,z) \ 1,u,w) * R(x,y,z).
K(x \ 1,x) * R(((x * x) \ x) \ L(T(x \ 1,x),y,z),u,w) = L(R(x,u,w) \ 1,y,z) * R(x,u,w).
L(R(x,y,z) \ 1,u,w) * R(x,y,z) = K(x \ 1,x) * R(((x * x) \ x) \ L(T(x \ 1,x),u,w),y,z).
L(R(x,y,z) \ 1,u,w) * R(x,y,z) = K(x \ 1,x) * R(x * L(x \ 1,u,w),y,z).
L(R(x,y,z) \ 1,u,w) * R(x,y,z) = K(x \ 1,x) * L(x * L(x \ 1,u,w),y,z).
L(K(x \ 1,x) * (x * L(x \ 1,y,z)),u,w) = L(R(x,u,w) \ 1,y,z) * R(x,u,w).
L(x * (K(x \ 1,x) * L(x \ 1,y,z)),u,w) = L(R(x,u,w) \ 1,y,z) * R(x,u,w).
L(x * L(T(x \ 1,x),y,z),u,w) = L(R(x,u,w) \ 1,y,z) * R(x,u,w).
L(L(x \ 1,y,z) * x,u,w) = L(R(x,u,w) \ 1,y,z) * R(x,u,w).
L(R(x,y,z) \ 1,u,w) * R(x,y,z) = L(L(x \ 1,u,w) * x,y,z).
L(L(x \ 1,y,z) * x,u,x) = L(x \ 1,y,z) * x.
a(x,y,L(z \ 1,u,w) * z) = a(L(z \ 1,u,w) \ (z \ 1),y,x).
a(L(x \ 1,y,z) \ (x \ 1),u,w) = a(w,u,L(x \ 1,y,z) * x).
x \ ((x * y) * a(y,z,L(x \ 1,u,w) * x)) = y * a(y,z,L(x \ 1,u,w) * x).
a(x * L(x \ 1,y,z \ 1),u,w) = a(w,u,L(x \ 1,y,z) * x).
a(x,y,L(z \ 1,u,w) * z) = a(L(z,u,w \ 1) \ z,y,x).
a(L(x,y,z \ 1) \ x,u,w) = a(w,u,L(x \ 1,y,z) * x).
a(x \ L(x,y,z),u,w) = a(w,u,L(x \ 1,y,z) * x).
a(x,y,L(z \ 1,u,w) * z) = a(z \ L(z,u,w),y,x).
x \ ((x * y) * a(x \ L(x,z,u),w,y)) = y * a(y,w,L(x \ 1,z,u) * x).
x \ ((x * y) * a(x \ L(x,z,u),w,y)) = y * a(x \ L(x,z,u),w,y).
x \ ((x * y) * a(x \ L(x,z,u),w,y)) = L(y,w,L(x,z,u) \ x).
((x \ (1 / (y \ (y / x)))) \ ((x * (y \ (y / x))) \ z)) * (x \ (1 / (y \ (y / x)))) = L(z * ((x * (y \ (y / x))) \ 1),x * (y \ (y / x)),x * (y \ (y / x))).
L(x * ((y * (z \ (z / y))) \ 1),y * (z \ (z / y)),y * (z \ (z / y))) = (y * (z \ (z / y))) \ x.
L(x * (y \ (1 / (z \ (z / y)))),y * (z \ (z / y)),y * (z \ (z / y))) = (y * (z \ (z / y))) \ x.
(x * (y \ (y / x))) \ z = L(z * (x \ (1 / (y \ (y / x)))),x * (y \ (y / x)),x * (y \ (x \ y))).
L(x * (y \ (1 / (z \ (z / y)))),y * (z \ (z / y)),y * (z \ (y \ z))) = (y * (z \ (z / y))) \ x.
(x * (y \ (y / x))) \ z = L(z * (x \ (1 / (y \ (y / x)))),x * (y \ (y / x)),y \ L(y,x,x)).
L(x * (y \ (1 / (z \ (z / y)))),y * (z \ (z / y)),z \ L(z,y,y)) = (y * (z \ (z / y))) \ x.
(x * (y \ (y / x))) \ z = L(z * (x \ (1 / (y \ (y / x)))),x * (y \ (x \ y)),y \ L(y,x,x)).
L(x * (y \ (1 / (z \ (z / y)))),y * (z \ (y \ z)),z \ L(z,y,y)) = (y * (z \ (z / y))) \ x.
(x * (y \ (y / x))) \ z = L(z * (x \ (1 / (y \ (y / x)))),y \ L(y,x,x),y \ L(y,x,x)).
L(x * (y \ (1 / (z \ (z / y)))),z \ L(z,y,y),z \ L(z,y,y)) = (y * (z \ (z / y))) \ x.
(x * (y \ (y / x))) \ z = L(z * (x \ (1 / (y \ (y / x)))),a(x,x,y),a(x,x,y)).
L(x * (y \ (1 / (z \ (z / y)))),a(y,y,z),a(y,y,z)) = (y * (z \ (z / y))) \ x.
(x * (y \ (y / x))) \ z = z * (x \ (1 / (y \ (y / x)))).
x * (y \ (1 / (z \ (z / y)))) = (y * (z \ (z / y))) \ x.
x * a(y \ z,y,y \ 1) = (y * (z \ (z / y))) \ x.
(x * (y \ (y / x))) \ z = z * a(x \ y,x,x \ 1).
a(x,y,(z * (u \ (u / z))) \ L(w \ 1,w,a(z \ u,z,z \ 1))) = a(x,y,w \ a(z \ u,z,z \ 1)).
a(x,y,(z * (u \ (u / z))) \ L(w \ 1,w,a(z,z,z \ u))) = a(x,y,w \ a(z \ u,z,z \ 1)).
a(x,y,(z * (u \ (u / z))) \ L(w \ 1,w,a(z,z,u))) = a(x,y,w \ a(z \ u,z,z \ 1)).
a(x,y,z \ a(u \ w,u,u \ 1)) = a(x,y,(u * (w \ (u \ w))) \ L(z \ 1,z,a(u,u,w))).
a(x,y,(z * (u \ (z \ u))) \ L(w \ 1,w,a(z,z,u))) = a(x,y,w \ a(z \ u,z,z \ 1)).
a(x,y,z \ a(u \ w,u,u \ 1)) = a(x,y,a(u,u,w) * L(z \ 1,z,a(u,u,w))).
a(x,y,a(z,z,u) * L(w \ 1,w,a(z,z,u))) = a(x,y,w \ a(z \ u,z,z \ 1)).
a(x,y,z \ a(u,u,w)) = a(x,y,z \ a(u \ w,u,u \ 1)).
a(x,y,z \ a(u \ w,u,u \ 1)) = a(x,y,z \ a(u,u,w)).
a(x,y,z \ a(u,w,w \ 1)) = a(x,y,z \ a(w,w,w * u)).
a(x,y,z \ a(u,u,w)) = a(x,y,z \ a(w,u,u \ 1)).
a(x,y,z \ a(u,w,w \ 1)) = a(x,y,z \ a(w,w,u)).
a(x,y,z * (u \ a(w,v5,v5 \ 1))) = a(x,y,R(u / z,z,u \ a(w,v5,v5 \ 1)) \ a(v5,v5,w)).
a(x,y,R(z / u,u,z \ a(w,v5,v5 \ 1)) \ a(v5,v5,w)) = a(x,y,u * (z \ a(w,v5,v5 \ 1))).
a(x,y,z \ a(u,u,w \ 1)) = a(x,y,z \ a(u \ 1,u,w)).
a(x,y,z \ a(u \ 1,u,w)) = a(x,y,z \ a(u,u,w \ 1)).
a(x,y,z \ a(u,u,u * w)) = a(x,y,z \ a(u,u,w)).
a(x,y,z \ a(u,u,w \ u)) = a(x,y,z \ a(u,u,w \ 1)).
a(x,y,z \ a(u,u,w \ 1)) = a(x,y,z \ a(u,u,w \ u)).
a(x,y,z \ a(u,u,(u \ w) \ 1)) = a(x,y,z \ a(u,u \ 1,w)).
a(x,y,a(z,u,u) * R(1 / w,w,a(u,u,z))) = a(x,y,w \ a(u,u,z \ 1)).
a(x,y,z \ a(u,u,w \ u)) = a(x,y,z \ a(u,u \ 1,w)).
a(x,y,z \ a(u,u \ 1,w)) = a(x,y,z \ a(u,u,w \ u)).
a(x,y,z \ a(u,u,w \ 1)) = a(x,y,z \ a(u,u \ 1,w)).
a(x,y,z \ a(u,u \ 1,w)) = a(x,y,z \ a(u,u,w \ 1)).
a(x,y,z \ ((u \ (w \ u)) * w)) = a(x,y,z \ a(w,w,u \ 1)).
a(x,y,a(z,u,u) * L(1 / w,w,a(u,u,z))) = a(x,y,w \ a(u,u,z \ 1)).
a(x,y,a(z,u,u) / w) = a(x,y,w \ a(u,u,z \ 1)).
a(x,y,z \ a(u,u,w \ 1)) = a(x,y,a(w,u,u) / z).
a(x,y,z \ a(u,u,w \ 1)) = a(x,y,z \ a(w,u,u)).
a(x,y,z \ ((u \ (w \ u)) * w)) = a(x,y,z \ a(u,w,w)).
a(x,y,(((z * u) \ z) \ 1) \ a(z,u,u)) = a(x,y,L(z \ (u \ z),u,z)).
a(x,y,(z * (u * u)) \ (z * u)) = a(x,y,L(z \ (u \ z),u,z)).
a(x,y,L(z \ (u \ z),u,z)) = a(x,y,(z * (u * u)) \ (z * u)).
a(x,y,L(z \ (u \ z),u,z)) = a(x,y,L(u \ 1,u * u,z)).
a(x,y,L(z \ 1,z * z,u)) = a(x,y,z \ 1).
a(x,y,((z * z) * u) \ (u * z)) = a(x,y,z \ 1).
((x * x) * y) \ ((x * L(x,a(z,u,w),v5)) * y) = a(v5,a(z,u,w),x \ 1).
((x * x) * y) \ ((x * L(x,a(z,u,w),v5)) * y) = a(x,a(z,u,w),v5).
a(x,y,R(z / u,u,z \ a(w,w,v5)) \ a(w,w,v5)) = a(x,y,u * (z \ a(v5,w,w \ 1))).
a(x,y,z * (u \ a(w,w,v5))) = a(x,y,z * (u \ a(v5,w,w \ 1))).
a(x,y,z * (u \ a(w,v5,v5 \ 1))) = a(x,y,z * (u \ a(v5,v5,w))).
a(x,y,a(z * z,u,u) * ((w \ 1) \ a(u,u,z))) = a(x,y,(w \ a(z,u,u \ 1)) \ 1).
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,(z \ 1) \ a(w,w,u)).
a(x,y,(z \ a(u,w,w \ 1)) \ 1) = a(x,y,a(w,w,u) * z).
a(x,y,a(z,z,u) * w) = a(x,y,(w \ 1) \ a(u,z,z)).
a(x,y,(z \ 1) \ a(u,w,w)) = a(x,y,a(w,w,u) * z).
a(a(x \ 1,y,z),u,a(w,w,v5) * v6) = a((v6 \ 1) \ a(v5,w,w),u,a(x,y,z)).
a((x \ 1) \ a(y,z,z),u,a(w,v5,v6)) = a(a(z,z,y) * x,u,a(w,v5,v6)).
a(a(x,x,y) * z,u,a(w,v5,v6)) = a(a(x,x,y) * (z \ 1),u,a(v6,v5,w)).
a(a(x,x,y) * (z \ 1),u,a(w,v5,v6)) = a(a(x,x,y) * z,u,a(v6,v5,w)).
a(a(x,x,y) * z,u,a(w,v5,v6)) = a(z \ a(x,x,y),u,a(v6,v5,w)).
a(x \ a(y,y,z),u,a(w,v5,v6)) = a(a(y,y,z) * x,u,a(v6,v5,w)).
L(x * R(R(y,z,u) \ y,w,y \ R(y,z,u)),y \ R(y,z,u),y \ R(y,z,u)) = L(y \ R(y,z,u),w,y \ R(y,z,u)) \ T(x,(y \ R(y,z,u)) \ 1).
L(x * (R(y,z,u) \ y),y \ R(y,z,u),y \ R(y,z,u)) = L(y \ R(y,z,u),w,y \ R(y,z,u)) \ T(x,(y \ R(y,z,u)) \ 1).
L(x \ R(x,y,z),u,x \ R(x,y,z)) \ T(w,(x \ R(x,y,z)) \ 1) = L(w * (R(x,y,z) \ x),x \ R(x,y,z),x \ R(x,y,z)).
L(x * (R(y,z,u) \ y),y \ R(y,z,u),y \ L(y,z,u)) = L(y \ R(y,z,u),w,y \ R(y,z,u)) \ T(x,(y \ R(y,z,u)) \ 1).
L(x \ R(x,y,z),u,x \ R(x,y,z)) \ T(w,(x \ R(x,y,z)) \ 1) = L(w * (R(x,y,z) \ x),x \ R(x,y,z),x \ L(x,y,z)).
(x \ R(x,y,z)) \ T(u,(x \ R(x,y,z)) \ 1) = L(u * (R(x,y,z) \ x),x \ R(x,y,z),x \ L(x,y,z)).
L(x * (R(y,z,u) \ y),y \ R(y,z,u),y \ L(y,z,u)) = (y \ R(y,z,u)) \ T(x,(y \ R(y,z,u)) \ 1).
L(x * (R(y,z,u) \ y),y \ R(y,z,u),y \ L(y,z,u)) = (y \ R(y,z,u)) \ T(x,R(y,z,u) \ y).
L(x * (R(y,z,u) \ y),y \ R(y,z,u),y \ L(y,z,u)) = (y \ R(y,z,u)) \ x.
(x \ R(x,y,z)) \ u = L(u * (R(x,y,z) \ x),a(x,y,z),a(x,y,z)).
L(x * (R(y,z,u) \ y),a(y,z,u),a(y,z,u)) = (y \ R(y,z,u)) \ x.
(x \ R(x,y,z)) \ u = u * (R(x,y,z) \ x).
(L(x,y,z) \ L(R(x,u,w),y,z)) \ v5 = v5 * (R(L(x,y,z),u,w) \ L(x,y,z)).
L(x \ R(x,y,z),u,w) * (R(x,y,z) \ x) = a(a(x,y,L(z,x,y)),u,w).
L(x \ R(x,y,z),u,w) * (R(x,y,z) \ x) = a(x \ R(x,y,z),u,w).
a(x \ L(x,y,z),u,w) = L(x \ R(x,y,z),u,w) * (R(x,y,z) \ x).
L(x \ R(x,y,z),u,w) * (R(x,y,z) \ x) = a(x \ L(x,y,z),u,w).
L(x \ R(x,y,z),u,w) \ v5 = v5 * (R(L(x,u,w),y,z) \ L(x,u,w)).
x * (R(L(y,z,u),w,v5) \ L(y,z,u)) = L(y \ R(y,w,v5),z,u) \ x.
x * (L(R(y,z,u),w,v5) \ L(y,w,v5)) = L(y \ R(y,z,u),w,v5) \ x.
x * L(R(y,z,u) \ y,w,v5) = L(y \ R(y,z,u),w,v5) \ x.
L(x \ R(x,y,z),u,w) \ v5 = v5 * L(R(x,y,z) \ x,u,w).
(x * L(y \ R(y,z,u),w,v5)) \ x = x \ (x * L(R(y,z,u) \ y,w,v5)).
x * L(R(y,z,u) \ y,y,x) = y * (R(y,z,u) \ x).
x \ (y * (R(y,z,u) \ x)) = L(R(y,z,u) \ y,y,x).
L(R(x,y,z) \ x,x,u) = u \ (x * (R(x,y,z) \ u)).
L(R(x,y,z) \ x,x,a(u,w,z)) = a(u,w,z) \ (x * R(x \ a(u,w,z),y,z)).
(x * L(y \ R(y,z,u),w,v5)) \ x = L(R(y,z,u) \ y,w,v5).
x / L(R(y,z,u) \ y,w,v5) = x * L(y \ R(y,z,u),w,v5).
(x * (y * (z \ R(z,u,w)))) \ (x * y) = L(R(z,u,w) \ z,y,x).
R(x,y,L(z,u,w)) \ x = L(R(x,y,z) \ x,u,w).
L(R(x,y,z) \ x,u,w) = R(x,y,L(z,u,w)) \ x.
x / L(R(x,y,z) \ x,u,w) = R(x,y,L(z,u,w)).
L(R(x,y,z) \ x,u,a(w,v5,z)) = R(x,y,z) \ x.
R(x,y,L(L(z,u,w),w,w)) \ x = L(R(x,y,z) \ x,u * w,w).
x * L(y \ R(y,z,u),w,v5) = L(R(y,z,u) \ y,w,v5) \ x.
L(R(x,y,z) \ x,u,w) \ v5 = v5 * L(x \ R(x,y,z),u,w).
a(x,x,a(y,z,u)) * ((R(u,z,y) \ u) * L(u \ R(u,z,y),w,x)) = L(L(R(u,z,y) \ u,w,x),x,x) \ (R(u,z,y) \ u).
(x * R(y,z,u)) \ (x * y) = L(R(y,z,u) \ y,y,x).
L(R(x,y,z) \ x,x,u) = (u * R(x,y,z)) \ (u * x).
(x * R(y,z,u)) \ (x * y) = x \ (y * (R(y,z,u) \ x)).
(R(x,y,z) * u) \ (x * u) = u \ (x * (R(x,y,z) \ u)).
R(x * a(y,z,u),w,u) \ (x * a(y,z,u)) = a(y,z,u) \ (x * (R(x,w,u) \ a(y,z,u))).
L(R(x,y,L(z,u,w)) \ x,w,w) = L(R(x,y,z) \ x,u * w,w).
L(L(R(x,y,z) \ x,u,w),w,w) = L(R(x,y,z) \ x,u * w,w).
a(x,y,z) \ (u * R(u \ a(x,y,z),w,z)) = R(u,w,z) \ u.
x * (R(x,y,z) \ x) = (a(x,y,z) / x) \ a(y,y,a(x,x,z)).
(a(x,y,z) / x) \ a(y,y,a(x,x,z)) = x * (R(x,y,z) \ x).
R(x * (R(x,y,z) \ x),y,z) = x.
L(x,L(y,z,u),L(w,z,u)) = L(R(x * (R(x,z,u) \ x),z,u),y,w).
L(R(x * (R(x,y,z) \ x),y,z),u,w) = L(x,L(u,y,z),L(w,y,z)).
L(x,y,z) = L(x,L(y,u,w),L(z,u,w)).
L(x,L(y,z,u),L(w,z,u)) = L(x,y,w).
L(x,y,z) = L(x,L(y,u,z),z).
L(x,L(y,z,u),u) = L(x,y,u).
L(x,y,z) = L(x,y,L(z,u,y)).
L(x,y,L(z,u,y)) = L(x,y,z).
L(x,y \ 1,z) = L(x,y \ 1,L(z,u,y)).
L(x,y \ 1,L(z,u,y)) = L(x,y \ 1,z).
L(x,L(y,z,u),a(u,w,v5)) = L(x,y,a(u,w,v5)).
L(x,y,L(z,u,w \ 1)) = L(x,L(y,u,w),z).
L(x,L(y,z,u \ 1),w) = L(x,y,L(w,z,u)).
L(x,y \ z,y) = L(x,(z \ y) \ 1,y).
L(x,(y \ z) \ 1,z) = L(x,z \ y,z).
L(x,y,y \ z) = L(x,y,(z \ y) \ 1).
L(x,y,(z \ y) \ 1) = L(x,y,y \ z).
a(x,y,z) \ a(x,y,L(z,u \ w,u)) = a(a(x,y,z),(w \ u) \ 1,u).
L(L(x,x,a(y,z,z)),z,z \ y) = x * a(y \ z,z,x).
L(x,L(y,z,u),L(w,u,u)) = L(x,y,L(w,u * z,u \ 1)).
L(x,y,(z \ u) \ (z \ (w * u))) = L(x,L(y,z * u,z),w).
L(x,y,L(z,u,L(x,w,v5))) = L(x,y,z).
L(x,y,z) = L(x,y,z * a(a(x,u,z),w,v5)).
L(x,y,z * a(a(x,u,z),w,v5)) = L(x,y,z).
L(x,y,z) = L(x,y,a(a(x,u,z),w,v5) * z).
L(x,y,a(a(x,z,u),w,v5) * u) = L(x,y,u).
L(L(x,y,z),u,w) = L(L(x,u,w),y,a(a(x,v5,z),v6,v7) * z).
L(L(x,y,z),u,a(a(x,w,v5),v6,v7) * v5) = L(L(x,u,v5),y,z).
a(x * (y \ 1),x,z) = a(y \ x,x,z).
a((x \ y) \ 1,x,z) = a(y \ x,x,z).
a(x,y,a(z \ u,u,w)) = a(x,y,a(w,u,u \ z)).
a(x,y,a(z,u,w)) = a(x,y,a(w,u,u \ (z \ u))).
a(x,y,a(z,u,u \ (w \ u))) = a(x,y,a(w,u,z)).
a(x,y,a(z,u,w)) = a(x,y,z \ L(z,u,w)).
a(x,y,z \ L(z,u,w)) = a(x,y,a(z,u,w)).
(L(x,y,z) \ x) * a(u,w,a(x,y,z)) = L(L(x,y,z) \ x,w,u).
L(x,L(y,z,u),L(w,u,u)) = L(x,L(y,u * z,u),w).
a(a(x,y,z),u,w) * (L(z,y,x) \ z) = L(L(z,y,x) \ z,u,w).
x * (L(y,z,u) \ y) != L(L(y,z,u) \ y,w,v5) | x = a(L(y,z,u) \ y,w,v5).
a(a(x,y,z),u,w) = a(L(z,y,x) \ z,u,w).
a(L(x,y,z) \ x,u,w) = a(a(z,y,x),u,w).
a(a(x,y,z * u),w,v5) = a(L(z * u,y,x) \ (u * z),w,v5).
a(L(x * y,z,u) \ (y * x),w,v5) = a(a(u,z,x * y),w,v5).
a(a(x,y,z),u,w) = a(R(z,y,x) \ z,u,w).
a(R(x,y,z) \ x,u,w) = a(a(z,y,x),u,w).
a(x \ R(x,y,z),u,w) = a(a(z,y,x \ 1),u,w).
a(a(x,y,z \ 1),u,w) = a(z \ R(z,y,x),u,w).
a(x \ L(x,y,z),u,w) = a(a(z,y,x \ 1),u,w).
a(a(x,y,z \ 1),u,w) = a(z \ L(z,y,x),u,w).
a(x \ L(x,y,z),u,w) = a(a(x,y,z),u,w).
a(a(x,y,z \ x),u,w) = a((x \ z) \ L(x \ z,y,x),u,w).
a((x \ y) \ L(x \ y,z,x),u,w) = a(a(x,z,y \ x),u,w).
x \ ((x * y) * a(a(x,z,u),w,y)) = L(y,w,L(x,z,u) \ x).
L(x \ R(x,y,z),u,w) * (R(x,y,z) \ x) = a(a(x,y,z),u,w).
a(x \ (y * L(y \ x,z,y)),u,w) = a(a(y,z,x \ y),u,w).
x \ L(x * y,z,a(u,w,x)) = L(y,z,L(x,w,u) \ x).
L(x \ (x * y),z,a(u,w,x)) = L(y,z,L(x,w,u) \ x).
L(x,y,a(z,u,w)) = L(x,y,L(w,u,z) \ w).
L(x,y,L(z,u,w) \ z) = L(x,y,a(w,u,z)).
L(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,a(w,u,L(z,v5,v6))).
a(L(x,y,z) \ u,w,L(v5,L(x,y,z),a(z,y,x))) = a((L(x,y,z) \ x) * (x \ u),w,v5).
a(x \ L(y * (y \ x),z,y),u,w) = a(a(y,z,x \ y),u,w).
a(x \ L(x,y,z),u,w) = a(a(z,y,x \ z),u,w).
a(a(x,y,z \ x),u,w) = a(z \ L(z,y,x),u,w).
a(a(x,y,z \ x),u,w) = a(a(z,y,x),u,w).
a(a(x,y,z),u,w) = a(w,u,a(z,y,z \ x)).
a(x,y,a(z,u,z \ w)) = a(a(w,u,z),y,x).
a(x,y,a(z,u,T(w,z))) = a(a(w * z,u,z),y,x).
a(a(x * y,z,y),u,w) = a(w,u,a(y,z,T(x,y))).
a(a(x * y,z,y),u,w) = a(w,u,a(y,z,x)).
a(L(L(x,y,z),z,y),u,a(w,v5,a(y,w,z))) = 1.
a(L(x,y,z),u,a(w,v5,a(y,w,z))) = 1.
a(x,y,a(z,u,a(w,z,v5))) = 1.
a(a(a(x,y,z),u,y),w,v5) = 1.
a(x,y,a(a(z,u,w),v5,u)) = 1.
(R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = a(a(x,y,z),u,w).
L(R(x,y,z) \ x,u,w) \ (R(x,y,z) \ x) = a(a(x,y,z),u,w).
1 / a(a(x,y,z),u,w) = (x / L(R(x,y,z) \ x,u,w)) \ R(x,y,z).
(x / L(R(x,y,z) \ x,u,w)) \ R(x,y,z) = 1 / a(a(x,y,z),u,w).
a(a(x,y,z),(u \ w) \ 1,w) = a(a(x,y,z),w \ u,w).
a(a(x,y,z),u \ (w \ u),u) = a(a(x,y,z),w \ 1,u).
a(a(x,y,z),u \ 1,w) = a(a(x,y,z),w * (u \ w),w).
a(a(x,y,z),u * (w \ u),u) = a(a(x,y,z),w \ 1,u).
a(a(x,y,z),u \ 1,w) = a(w,w * (u \ w),a(z,y,x)).
a(x,x * (y \ x),a(z,u,w)) = a(a(w,u,z),y \ 1,x).
a(x * y,(x * y) * y,a(z,u,w)) = a(a(w,u,z),x \ 1,x * y).
a(a(x,y,z),u \ 1,u * w) = a(u * w,w * (u * w),a(z,y,x)).
a(x * y,y * (x * y),a(z,u,w)) = a(a(w,u,z),x \ 1,x * y).
(x / L(R(x,y,z) \ x,u,w)) \ R(x,y,z) = a(a(x,y,z),u,w) \ 1.
(x / L(R(x,y,z) \ x,u,w)) \ R(x,y,z) = a(w,u,a(x,y,z)).
R(x,y,L(z,u,w)) \ R(x,y,z) = a(w,u,a(x,y,z)).
R(x,y,z) * L(R(x,y,L(z,u,w)) \ x,x,R(x,y,z)) = x * a(w,u,a(x,y,z)).
R(x,y,z) * L(L(R(x,y,z) \ x,u,w),x,R(x,y,z)) = x * a(w,u,a(x,y,z)).
R(x,y,z) * L(L(R(x,y,z) \ x,u,w),x,L(x,y,z)) = x * a(w,u,a(x,y,z)).
R(x,y,z) * L(R(x,y,z) \ x,u,w) = x * a(w,u,a(x,y,z)).
T(T(x * a(y,z,a(x,u,w)),v5),R(x,u,w)) = T(L(R(x,u,w),z,y) \ (L(x,z,y) * R(x,u,w)),v5).
T(L(R(x,y,z),u,w) \ (L(x,u,w) * R(x,y,z)),v5) = T(T(x * a(w,u,a(x,y,z)),v5),R(x,y,z)).
R(x * a(y,z,u),w,u) \ (x * a(y,z,u)) = a(y,z,u) \ (x * R(x \ a(y,z,u),w,u)).
R(x * a(y,z,u),w,u) \ (x * a(y,z,u)) = R(x,w,u) \ x.
a(R(T(x,y),z,u) \ T(x,y),w,v5) = a(R(T(x,y) * a(v6,v7,u),z,u) \ (x * a(v6,v7,u)),w,v5).
a(R(x,y,z) \ x,u,w) = a(R(T(x,v5) * a(v6,v7,z),y,z) \ (x * a(v6,v7,z)),u,w).
a(R(T(x,y) * a(z,u,w),v5,w) \ (x * a(z,u,w)),v6,v7) = a(R(x,v5,w) \ x,v6,v7).
a(L(x,y,z) \ x,u,w) = a(R(T(x,v5) * a(v6,v7,z),y,z) \ (x * a(v6,v7,z)),u,w).
a(R(T(x,y) * a(z,u,w),v5,w) \ (x * a(z,u,w)),v6,v7) = a(L(x,v5,w) \ x,v6,v7).
T(L(R(x,y,z),u,w) \ (L(x,u,w) * R(x,y,z)),v5) = T(T(x * a(w,u,a(x,y,z)),v5),x).
T(L(R(x,y,z),u,w) \ (L(x,u,w) * R(x,y,z)),v5) = T(a(w,u,a(x,y,z)) * x,v5).
T(L(x,y,z) * (L(R(x,u,w),y,z) \ R(x,u,w)),v5) = T(a(z,y,a(x,u,w)) * x,v5).
T(L(x,y,z) * R(L(x,y,z) \ x,u,w),v5) = T(a(z,y,a(x,u,w)) * x,v5).
T(L(x,y,z) * L(L(x,y,z) \ x,u,w),v5) = T(a(z,y,a(x,u,w)) * x,v5).
T(x * a(a(y,z,x),u,w),v5) = T(a(y,z,a(x,u,w)) * x,v5).
T(a(x,y,a(z,u,w)) * z,v5) = T(z * a(a(x,y,z),u,w),v5).
T(x * a(y,z,a(x,u,w)),v5) = T(x * a(a(y,z,x),u,w),v5).
T(x * a(a(y,z,x),u,w),v5) = T(x * a(y,z,a(x,u,w)),v5).
T(x,y) \ T(x * a(z,u,a(x,w,v5)),y) = a(a(z,u,x),w,v5).
a(a(x,y,z),u,w) = a(x,y,a(z,u,w)).
L(a(x,y,a(z,u,w)) * u,w,a(x,y,z)) = L(u,a(x,y,z),w).
a(x,y,a(z,u,w)) = a(w,u,a(z,y,x)).
a(x \ 1,y,a(z,u,w)) = a(z,u,a(w,y,x)).
a(x,y,a(z,u,w * v5)) = a(v5 * w,u,a(z,y,x)).
a(x * y,z,a(u,w,v5)) = a(v5,w,a(u,z,y * x)).
a(x,y,a(z,u,w)) * v5 = v5 * a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) \ v5 = v5 * a(z,u,a(w,y,x)).
a(x,y,a(z,u,w)) * (a(z,u,a(w,y,x)) * v5) = v5.
a(x,y,a(z,u,w)) * (v5 * a(z,u,a(w,y,x))) = v5.
x * a(y,z,a(u,w,x)) = L(x,w,a(u,z,y)).
a(x,y,a(z,u,w)) * w = L(w,u,a(z,y,x)).
a(x * y,z,a(u,w,x)) * y = L(y,w,a(x * y,z,u)).
a(x,y,a(z,u,w)) * a(x,y,z) = a(x,y,L(z,u,w)).
a(x,y,a(z,u,L(w,v5,v6))) = a(w,u,a(z,y,L(x,v5,v6))).
a(x,y,a(z,u,w)) * a(z,y,x) = a(z,y,L(x,u,w \ 1)).
a(x,y,a(z,u,w \ (v5 \ w))) = a(v5,u,a(x,y,L(z,v5,w))).
a(x,y,a(z,u,L(w,x,v5))) = a(z,u,a(w,y,v5 \ (x \ v5))).
a(a(x,y,a(z,u,w)) * u,v5,a(z,y,x)) = a(a(x,y,z),v5,u).
a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = a(w,u,a(x,y,z)) * a(x,y,a(z,v5,v6)).
a(L(x,y,z) \ x,u,w) = a(z,y,a(x,u,w)).
a(x \ L(x,y,z),u,w) = a(x,y,a(z,u,w)).
a(L(x * y,z,u) \ (y * x),w,v5) = a(u,z,a(x * y,w,v5)).
a(a(x,y,a(z,u,y)),w,v5) = 1.
a(x,y,a(z,u,a(w,v5,u))) = 1.
(R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = a(x,y,a(z,u,w)).
a(x * y,y * (x * y),a(z,u,w)) = a(w,u,a(z,x \ 1,x * y)).
L(x,y,a(z,u,a(w,v5,u))) = x.
1 = a(x,y,a(z,u,a(u,w,v5))).
a(x,y,a(z,u,a(u,w,v5))) = 1.
a(x,y,a(z,z,a(u,w,v5))) = 1.
L(x,y,a(z,u,a(u,w,v5))) = x.
L(x,y,a(z,u,a(w,v5,v5))) = x.
a(a(x,y,z),u,a(u,w,v5)) = 1.
a(x,y,z) * 1 = L(a(x,y,z),u,a(u,w,v5)).
L(a(x,y,z),u,a(u,w,v5)) = a(x,y,z) * 1.
1 = a(x,x,a(y,z,a(u,w,v5))).
a(x,x,a(y,z,a(u,w,v5))) = 1.
x = L(x,y,a(y,z,a(u,w,v5))).
L(x,y,a(y,z,a(u,w,v5))) = x.
(x * y) \ ((x * (y * z)) * a(u,w,a(w,v5,v6))) = a(v6,v5,a(w,w,u)) * L(z,y,x).
(a(x,y,a(z,u,u)) * w) * v5 = a(x,y,a(z,u,u)) * (w * v5).
L(a(x,y,z),x,a(u,w,v5)) = a(x,y,z).
L(a(x,y,a(z,u,w)),v5,v5) = a(x,y,a(z,u,w)).
x * a(y,z,a(u,w,v5)) = y * (L(y,z,a(v5,w,u)) \ x).
x * (L(x,y,a(z,u,w)) \ v5) = v5 * a(x,y,a(w,u,z)).
a(x,y,a(z,u * w,v5)) = a(v5,w * u,a(z,y,x)).
a(x,y * z,a(u,w,v5)) = a(v5,w,a(u,z * y,x)).
L(x,y,a(z,u,w)) * a(y,v5,v6) = L(x * a(y,v5,v6),y,a(z,u,w)).
L(x * a(y,z,u),y,a(w,v5,v6)) = L(x,y,a(w,v5,v6)) * a(y,z,u).
L(L(x,y,a(z,u,w)),y,z) = L(x,y,L(z,u,w)).
x * L(x \ y,z,a(y,u,w)) = L(y,u,a(w,z,x)).
a(R(T(x,y) * a(z,u,w),v5,w) \ (x * a(z,u,w)),v6,v7) = a(w,v5,a(x,v6,v7)).
a(x,y,z) = L(a(x,y,z),u,a(u,w,v5)).
L(a(x,y,z),u,a(u,w,v5)) = a(x,y,z).
a(x,y,L(z,u,a(u,w,v5))) = a(x,y,z).
a(x,y,L(z,u,a(w,v5,v5))) = a(x,y,z).
a(x,y,L(z,u,a(w,w,v5))) = a(x,y,z).
a(x,y,L(z,u,L(w,v5,v5))) = a(x,y,L(z,u,w)).
a(x \ (a(y,z,z) \ u),w,v5) = a((a(y,z,z) * x) \ u,w,v5).
a((a(x,y,y) * z) \ u,w,v5) = a(z \ (a(x,y,y) \ u),w,v5).
x \ (a(y,z,z) \ L(a(y,z,z) * x,u,a(w,v5,v6))) = a(a(y,z,z) * x,u,a(w,v5,v6)).
a(x \ y,z,u) = a(a(w,w,x) * (L(x,w,w) \ y),z,u).
a(a(x,x,y) * (L(y,x,x) \ z),u,w) = a(y \ z,u,w).
a(x,y,a(z,u,L(w,v5,v5))) = a(x,y,a(z,u,w)).
(x * y) * L(z,y,L(x,u,w)) = x * (y * L(z,y,a(x,u,w))).
L(L(x,y,a(z,u,w)),y,w) = L(x,y,L(w,u,z \ 1)).
L(L(x,y,a(z,z,u)),y,u) = L(x,y,L(u,z,z)).
L(x,y,z) = L(x,y,L(z,u,a(w,v5,v5))).
L(x,y,L(z,u,a(w,v5,v5))) = L(x,y,z).
L(x,y,(a(z,u,u) * w) \ v5) = L(x,y,w \ (a(z,u,u) \ v5)).
a(x,y,L(z,u * (w \ 1),v5)) = a(x,y,L(z,w \ u,v5)).
L(L(x,y,a(z,z,u)),y,z * u) = L(x,y,L(z * u,z,z)).
a(x,y,a(z * z,u,w * v5)) = a(v5 * w,u,a(z,y,x * x)).
a(x * y,z,a(u,w,v5 * v5)) = a(v5,w,a(u * u,z,y * x)).
a(x,y,a(z,u,w)) = a(w,u,a(z,y,x)) * 1.
a(x,y,a(z,u,w)) * 1 = a(w,u,a(z,y,x)).
L(a(x,y,z) * u,a(x,y,z),a(a(x,y,z),x,y)) = (x \ R(x,y,z)) * (u * a(y,y,a(z,x,x))).
a(x,y,a(z,u,w)) * v5 != a(w,u,a(z,y,x)) | v5 = 1.
a(x,y,a(z,u,w)) * a(z,y,a(x,u,w)) = 1.
x != a(y,z,a(u,w,v5)) * v6 | a(u,w,a(v5,z,y)) * x = v6.
a(x,y,a(z,u,w)) * v5 != v6 | a(z,u,a(w,y,x)) * v6 = v5.
a(a(x,y,z),u,w) = a(x,u,a(w,y,z)).
a(x,y,a(z,u,w)) = a(z,y,a(w,u,x)).
a(x,y,a(z,u,w)) = a(w,y,a(x,u,z)).
x * a(y,z,a(x,u,w)) = L(x,z,a(w,u,y)).
a(x,y,a(z,u,w)) * z = L(z,y,a(w,u,x)).
a(x,y,a(z \ y,u,w)) = a(y \ z,y,a(x,u,w)).
a(x \ y,x,a(z,u,w)) = a(z,x,a(y \ x,u,w)).
a(x,y,a(z,u,w)) = a(x,u,a(w,y,z)).
x * a(a(y,z,x),u,w) = L(x,z,a(w,u,y)).
a(a(x,y,z),u,w) * z = L(z,y,a(w,u,x)).
L(x,y,a(z * z,u,w)) = x * a(z,y,a(w,u,x * x)).
a(x,y,a(z,u,w)) * a(w,u,L(x,y,z)) = a(w,u,x).
a(x,y,a(z,u,w)) = a(z,u,a(x,y,w)).
L(L(x,y,z),y,L(z \ 1,u,w)) = L(x,y,a(w,u,z)).
L(L(x,y,z),u,L(w,v5,a(v6,v7,x))) = L(L(x,u,w),y,z).
x != a(y,z,a(u,w,v5)) * v6 | x * a(u,w,a(v5,z,y)) = v6.
a(x,y,a(z,u,w)) * v5 != v6 | v6 * a(z,u,a(w,y,x)) = v5.
a(x,y,z) * L(u,y,a(z,x,x)) = (a(x,y,z) * x) * (x \ u).
a(x,y,a(z,u,w)) * v5 != v6 | v5 = v6 * a(z,u,a(w,y,x)).
a(x,y,L(z,u,w)) = a(x,y,z) * a(w,y,a(x,u,z)).
a(x,y,z) * a(u,y,a(x,w,z)) = a(x,y,L(z,w,u)).
L(L(L(x \ y,x,a(y,z,u)),x,u),x,L(u \ 1,z,x)) = x \ y.
L(x,L(y,z,u),a(u,z,w)) = L(L(x,L(y,z,u),w),y,w \ 1).
L(L(x,L(y,z,u),w),y,w \ 1) = L(x,L(y,z,u),a(u,z,w)).
a(x,y,a(z,u,w)) * 1 = a(x,y,L(a(z,u,w),v5,y)).
a(x,y,L(a(z,u,w),v5,y)) = a(x,y,a(z,u,w)) * 1.
a(x,y,a(z,u,w)) = a(x,y,L(a(z,u,w),v5,y)).
a(x,y,L(a(z,u,w),v5,y)) = a(x,y,a(z,u,w)).
a(x,y,a(z,u,L(w,v5,y))) = a(x,y,a(z,u,w)).
a(x,y,a(z,u,w)) * x = L(x,u,a(w * x,y,z)).
L(x,y,a(z * x,u,w)) = a(x,u,a(w,y,z)) * x.
L(x,y,a(z * x,u,w)) = L(x,u,a(w,y,z)).
L(x,y,a(z,u \ w,u)) = L(x,u * w,a(u * x,y,z)).
L(x,y * z,a(y * x,u,w)) = L(x,u,a(w,y \ z,y)).
a(x,y,a(z,u,L(w,v5,u))) = a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) * w = L(w,u,a(z,y,L(x,v5,y))).
L(x,y,a(z,u,L(w,v5,u))) = a(w,u,a(z,y,x)) * x.
L(x,y,a(z,u,L(w,v5,u))) = L(x,y,a(z,u,w)).
x * y != z * a(x,u,w) | y = a(x,u,w) * (x \ z).
L(x,y,a(z,u,w)) \ v5 = a(x,y,a(w,u,z)) * (x \ v5).
a(x,y,a(z,u,w)) * (x \ v5) = L(x,y,a(w,u,z)) \ v5.
(x / y) * L(y,z,a(u,w,v5)) = x * a(y,z,a(u,w,v5)).
L(x,y,a(z,u \ w,u)) = L(x,y,a(z,u * w,u)).
L(a(x,y,y) * ((x \ y) \ z),y,a(y,x * y,x)) = (a(x,y,y) \ (x \ y)) \ z.
x * (y \ z) != L(y,u,a(w,v5,v6)) \ z | x = a(y,u,a(v6,v5,L(w,y,z))).
a(x,y,a(z,u,w)) = a(x,y,a(z,u,L(w,x,v5))).
a(x,y,a(z,u,L(w,x,v5))) = a(x,y,a(z,u,w)).
x * (y * a(x,z,a(u,w,v5))) = L(x,z,a(u,w,v5)) * y.
x * (a(x,y,a(z,u,w)) * v5) = L(x,y,a(z,u,w)) * v5.
a(x,y,a(z,u,w \ (v5 \ w))) = a(v5,u,a(x,y,z)).
a(x,y,a(z,u,w \ v5)) = a(v5 \ w,u,a(x,y,z)).
a(x \ y,z,a(u,w,v5)) = a(u,w,a(v5,z,y \ x)).
a(x,y,a(z,u,w)) = a(v5 \ (x \ v5),y,a(w,u,z)).
a(x \ (y \ x),z,a(u,w,v5)) = a(y,z,a(v5,w,u)).
a(x,y,a(z \ u,w,v5)) = a(u \ z,w,a(v5,y,x)).
a(x \ y,z,a(u,w,v5)) = a(v5,w,a(y \ x,z,u)).
a(x \ a(y,y,z \ 1),u,a(w,v5,v6)) = a(v6,v5,a(x * (z * L(z \ 1,y,y)),u,w)).
a(x,y,a(z * (u * L(u \ 1,w,w)),v5,v6)) = a(z \ a(w,w,u \ 1),v5,a(v6,y,x)).
L(L(x,y,a(z,z,u)),y,z * u) = L(x,y,(z \ 1) \ u).
L(x,a(y,z,u),w) \ (a(y,z,a(u,x,w)) * x) = a(a(y,z,a(u,x,w)) * x,w,a(u,z,y)).
L(x,a(y,z,L(u,w,z)),v5) = L(a(y,z,a(L(u,w,z),x,v5)) * x,v5,a(y,z,u)).
L(a(x,y,a(L(z,u,y),w,v5)) * w,v5,a(x,y,z)) = L(w,a(x,y,L(z,u,y)),v5).
a(a(x,y,a(z,u,w)) * u,v5,a(z,y,x)) = a(x,y,a(z,v5,u)).
a(L(x,y,z),u,a(w,v5,v5)) = a(x,u,a(w,v5,v5)).
a(x,y,a(z,u,u)) = a(u,u,a(z,y,L(x,w,v5))).
a(x,x,a(y,z,L(u,w,v5))) = a(u,z,a(y,x,x)).
(x * y) * a(z,u,a(w,v5,v5)) = x * (y * a(z,u,a(w,v5,v5))).
a(x,y,a(z,u,u)) * z = L(z,L(u,w,v5),a(x,y,u)).
L(x,L(y,z,u),a(w,v5,y)) = a(w,v5,a(x,y,y)) * x.
L(x,L(y,z,u),a(w,v5,y)) = L(x,v5,a(y,y,w)).
a(L(x,y,z) \ u,w,L(v5,y,a(x,x,z))) = a((L(x,y,z) \ x) * (x \ u),w,v5).
L(a(x,y,z) * u,y,a(z,x,x)) = (a(x,y,z) * x) * (x \ u).
L(L(x,L(y,z,u),w),y,w \ 1) = L(x,y,a(u,z,w)).
(x * y) * a(z,u,a(u,w,v5)) = x * (y * a(z,w,a(v5,u,u))).
L(a(x,y,z) * u,y,a(z,x,x)) = x * ((a(x,y,z) \ x) \ u).
L(L(x \ y,x,L(z,u,y \ 1)),x,L(z \ 1,u,x)) = x \ y.
L(L(x \ y,L(x,z,y),u),x,L(u \ 1,z,x)) = x \ y.
x \ y = L(L(x \ y,L(x,z,y),u),x,u \ 1).
L(L(x \ y,L(x,z,y),u),x,u \ 1) = x \ y.
x \ y = L(x \ y,x,a(y,z,u)).
L(x \ y,x,a(y,z,u)) = x \ y.
x * (x \ y) = L(y,z,a(u,x,x)).
L(x,y,a(z,u,u)) = u * (u \ x).
L(x,y,a(z,u,u)) = x.
x \ R(x,y,z) = a(x,y,z).
a(x,y,z) = x \ R(x,y,z).
(a(x,y,y) * z) * u = a(x,y,y) * (z * u).
((x * (a(y,z,z) * u)) * w) / (a(y,z,z) * (u * w)) = R(x,a(y,z,z) * u,L(w,u,a(y,z,z))).
x = R(x,y,a(z,u,u)).
R(x,y,a(z,u,u)) = x.
x * (a(y,z,z) * u) = (x * u) * a(y,z,z).
(x * y) * a(z,u,u) = x * (a(z,u,u) * y).
a(x,y,y) * (z \ 1) = z \ a(x,y,y).
x = L(x,y,a(z,z,u)).
L(x,y,a(z,z,u)) = x.
a(x,x,y) * z = y * (L(y,x,x) \ z).
x * (L(x,y,y) \ z) = a(y,y,x) * z.
a(x,y,z) \ z = L(z,y,x).
L(x,y,z) = a(z,y,x) \ x.
L(x,y,z) \ x = a(z,y,x).
a(x,y,z) = L(z,y,x) \ z.
a(x,y,y) * z = R(x,y,y) * (x \ z).
R(x,y,y) * (x \ z) = a(x,y,y) * z.
a(x,y,z) * z = L(z,y,x \ 1).
L(x,y,z \ 1) = a(z,y,x) * x.
a(x,x,y) * (z * u) = (a(x,x,y) * z) * u.
(a(x,x,y) * z) * u = a(x,x,y) * (z * u).
a(x,y,y) \ (z \ u) = z \ (a(x,y,y) \ u).
(x * a(y,y,x)) * z = x * (a(y,y,x) * z).
L(x,y,a(z,u,y)) = x.
L(x,y,z) = L(x,y,L(z,u,u)).
L(x,y,L(z,u,u)) = L(x,y,z).
x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u).
L(x,y,z) = L(x,y,L(z,z,u)).
L(x,y,L(z,z,u)) = L(x,y,z).
L(x,y,z * u) = L(x,y,(z \ 1) \ u).
L(x,y,(z \ 1) \ u) = L(x,y,z * u).
a(a(x,y,z),z,u) = 1.
(a(x,y,z) * z) * u = a(x,y,z) * (z * u).
1 = a(x,x,a(y,z,u)).
a(x,x,a(y,z,u)) = 1.
L(a(x,y,z),u,u) = a(x,y,z).
1 * x = L(x,x,a(y,z,u)).
L(x,x,a(y,z,u)) = 1 * x.
1 * a(x,y,a(z,u,w)) = a(x,y * x,a(z,u,w)).
a(x,y * x,a(z,u,w)) = 1 * a(x,y,a(z,u,w)).
a(x \ 1,y,z) * z = L(z,y,x).
L(x,y,z) = a(z \ 1,y,x) * x.
(x \ L(x,y,z)) * u = a(z,y,x) \ u.
(x * y) \ (L(x,z,u) * y) = L(a(u,z,x) \ 1,x,y).
L(x,y,z \ 1) * L(x \ u,x,a(u,y,z)) = u * a(z,y,x).
a(L(x,y,z),L(u,y,z),w) = L(w,u,x) \ w.
x = L(x,x,a(y,z,u)).
L(x,x,a(y,z,u)) = x.
x * L(y,x,a(z,u,w)) = L(x * y,x,a(z,u,w)).
L(x * y,x,a(z,u,w)) = x * L(y,x,a(z,u,w)).
R(a(x,y,L(z,u,u)),u,L(w,u,a(x,y,z))) = (a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)).
L(x,y,z \ u) = L(x,y,(z \ 1) * u).
L(x,y,(z \ 1) * u) = L(x,y,z \ u).
L(x,y,(z \ (u \ z)) \ w) = L(x,y,w * L(u,u,z)).
L(x,L(y,z,u),w) = L(x,L(y,u * z,u),w).
L(x,L(y,z * u,z),w) = L(x,L(y,u,z),w).
L(x,y,z \ u) = L(x,y,(u \ z) \ 1).
L(x,y,(z \ u) \ 1) = L(x,y,u \ z).
x * a(y,z,u) = (1 / x) \ a(y,z,u).
(1 / x) \ a(y,z,u) = x * a(y,z,u).
a(x,y,z) \ u = (a(x,y,z) / u) \ 1.
(a(x,y,z) / u) \ 1 = a(x,y,z) \ u.
a(x,y,L(z,u,u)) = a(x,y,z).
a(x,y,z * (u \ 1)) = a(x,y,u \ z).
a(x * (y \ 1),z,u) = a(y \ x,z,u).
a(x * y,z,u) = a((y \ 1) \ x,z,u).
a((x \ 1) \ y,z,u) = a(y * x,z,u).
a((x * y) \ 1,z,u) = a(y \ (x \ 1),z,u).
a((x * (y \ 1)) \ z,u,w) = a((y \ x) \ L(z,y,y),u,w).
a((x \ y) \ L(z,x,x),u,w) = a((y * (x \ 1)) \ z,u,w).
a(x,y,z \ (u * (w * (u \ z)))) = a(x,y,L(w,z,u)).
a(x,y,L(z,z,u)) \ (u * L(z,y,x \ 1)) = u * z.
x * y != a(z,u,x) * w | y = a(z,u,x) * (x \ w).
L(x,y,y) \ z = a(y,y,x) * (x \ z).
a(x,x,y) * (y \ z) = L(y,x,x) \ z.
(x \ y) * ((a(z,u,w) \ (x \ y)) \ ((w \ L(w,u,z)) * y)) = a(w \ L(w,u,z),x \ y,x) \ y.
L(x,y,(z \ u) \ (z \ (w * u))) = L(x,y,L(w,u * z,u)).
L(x,y,((z \ 1) * u) \ w) = L(x,y,(w \ 1) \ ((u \ 1) * z)).
L(x,y,(z \ 1) \ ((u \ 1) * w)) = L(x,y,((w \ 1) * u) \ z).
L(x,y,z \ u) = a(u \ z,y,x) * x.
a(x \ y,z,u) * u = L(u,z,y \ x).
x * ((a(y,z,u) \ x) \ (a(y,z,u) \ w)) = L(w,x,a(u,z,y)).
a(x,y,(z \ u) \ (z \ (w * u))) = a(x,y,L(w,u * z,u)).
a((x * (y \ 1)) \ z,u,w) = a(((x \ 1) * y) * z,u,w).
a((x \ (y \ x)) \ L(z,y,x),u,w) = a(z * y,u,L(w,y,x)).
a(x \ y,z,u) = u \ L(u,z,y \ x).
x \ L(x,y,z \ u) = a(u \ z,y,x).
x * y != L(y,z,u) | x = a(u \ 1,z,y).
a(x \ y,z,u) = a((y \ x) \ 1,z,u).
a((x \ y) \ 1,z,u) = a(y \ x,z,u).
x \ L(x,y,(z \ u) * (u \ w)) = a(w \ R(z,z \ u,u \ w),y,x).
a(x \ R(y,y \ z,z \ x),u,w) = w \ L(w,u,(y \ z) * (z \ x)).
a(((x \ y) * (y \ z)) \ 1,u,w) = a(z \ R(x,x \ y,y \ z),u,w).
a(x \ R(y,y \ z,z \ x),u,w) = a(((y \ z) * (z \ x)) \ 1,u,w).
a(x,y,L(y,z,u)) = a(x,y,y).
L(a(x,y,y),z,u) = a(x,y,y).
(x * a(y,z,z)) * u = a(y,z,z) * (x * u).
a(x,y,y) \ R(z,u,w) = R(a(x,y,y) \ z,u,w).
R(a(x,y,y) \ z,u,w) = a(x,y,y) \ R(z,u,w).
a(x,y,y) \ L(z,u,a(w,v5,v6)) = L(a(x,y,y) \ z,u,a(w,v5,v6)).
L(a(x,y,y) \ z,u,a(w,v5,v6)) = a(x,y,y) \ L(z,u,a(w,v5,v6)).
a(x,y,y) * (z * u) = z * (a(x,y,y) * u).
a(x,x,L(y,z,u)) = a(x,x,y).
L(x,y,a(z,z,u) * w) = L(x,y,w * a(u,z,L(z,v5,v6))).
L(x,y,z * a(u,w,L(w,v5,v6))) = L(x,y,a(w,w,u) * z).
a(x \ (a(y,z,z) \ u),w,v5) = a(a(z,z,y) * (x \ u),w,v5).
L(x,y,L(z * (a(u,u,z) * w),u,u)) = L(x,y,z * L(w,u,u)).
(1 / (x \ y)) \ a(z,u,u) = x \ (y * a(z,u,u)).
x \ (y * (a(z,u,u) * w)) = (x \ (y * w)) * a(z,u,u).
a(x,y,L(z,z,u)) = a(x,y,z).
a(x,y,z) = a(L(x,u,w),L(y,u,w),z).
a(L(x,y,z),L(u,y,z),w) = a(x,u,w).
a(x,y,z) = a(x,L(y,u,w),L(z,u,w)).
a(x,L(y,z,u),L(w,z,u)) = a(x,y,w).
a(x,y,L(z,u,w \ 1)) = a(x,L(y,u,w),z).
a(x,y,a(z,u,w) * u) = a(x,L(y,w,z),L(u,z,w)).
a(x,L(y,z,u),L(w,u,z)) = a(x,y,a(u,w,z) * w).
a(x,y,a(z,u,w)) = a(x,y,a(z,L(u,v5,v5),w)).
a(x,y,a(z,L(u,w,w),v5)) = a(x,y,a(z,u,v5)).
L(x,y,(z \ u) \ (z \ (w * u))) = L(x,L(y,u,z),w).
a(x,y,y) * z != (u * a(x,y,y)) * w | z = u * w.
(x * a(y,z,z)) * u = x * (a(y,z,z) * u).
L(x,a(y,z,z),u) = x.
R(x * a(y,z,z),u,w) = ((x * (a(y,z,z) * u)) * w) / (u * w).
((x * (a(y,z,z) * u)) * w) / (u * w) = R(x * a(y,z,z),u,w).
(x * (a(y,z,z) * u)) \ ((x * a(y,z,z)) * (u * w)) = L(w,L(u,a(y,z,z),x),x * a(y,z,z)).
a(x,y,y) \ (z / u) = z / (a(x,y,y) * u).
x / (a(y,z,z) * u) = a(y,z,z) \ (x / u).
x = L(x,a(y,y,z),u).
L(x,a(y,y,z),u) = x.
x * (a(y,y,z) * u) = (a(y,y,z) * x) * u.
(a(x,x,y) * z) * u = z * (a(x,x,y) * u).
a(x,y,a(z,(u \ 1) * w,v5)) = a(x,y,a(z,u \ w,v5)).
a(x,y,a(z,u,w)) = a(x,y * x,a(z,u,w)).
a(x,y * x,a(z,u,w)) = a(x,y,a(z,u,w)).
(x * y) * L(z,y,L(x,u,w)) = x * L(y * z,y,a(x,u,w)).
(1 / (x \ y)) \ a(y,z,z) = x \ R(y,z,z).
a(x \ R(y,z,z),u,L(w,(1 / (x \ y)) \ a(y,z,z),a(y,z,z))) = a((a(y,z,z) \ (1 / (x \ y))) \ 1,u,w).
a(x \ 1,y,L(z,z,u)) = (z * u) \ (L(z,y,x) * u).
(x * y) \ (L(x,z,u) * y) = a(u \ 1,z,L(x,x,y)).
a(x,y,L(z,u,w)) = a(x,y,L(z,w * u,w)).
a(x,y,L(z,u * w,u)) = a(x,y,L(z,w,u)).
a(x,y,z) \ (u * L(z,y,x \ 1)) = u * z.
x * y = (a(z,u,y) \ x) * L(y,u,z \ 1).
(a(x,y,z) \ u) * L(z,y,x \ 1) = u * z.
x * y = a(z,u,y) * (x * L(y,u,z)).
a(x,y,z) * (u * L(z,y,x)) = u * z.
(a(x,y,z) \ u) * z = u * L(z,y,x).
x * a(y,z,L(u,w * L(u,z,y),(w * L(u,z,y)) \ x)) = (w * u) * ((w * L(u,z,y)) \ x).
a(x,y,L(z,u * L(z,y,x),w)) = (w * ((a(x,y,z) \ u) * z)) \ (w * (u * z)).
(x * y) \ (L(x,z,u) * y) = a(u \ 1,z,x).
a(((x \ 1) * y) * z,u,w) = a(((y \ 1) * x) \ z,u,w).
a(((x \ 1) * y) \ z,u,w) = a(((y \ 1) * x) * z,u,w).
a(x,y,a(z,u \ w,v5)) = a(x,(u \ 1) * w,a(v5,y,z)).
a(x,(y \ 1) * z,a(u,w,v5)) = a(x,w,a(v5,y \ z,u)).
a(((L(x,x,y) \ 1) * y) * z,u,w) = a(((x \ y) \ 1) \ z,u,w).
a((x \ y) \ L(z,x,x),u,w) = a(((y \ 1) * x) * z,u,w).
L(x,y,L(z,u * w,u)) = L(x,L(y,u,w),z).
L(x,y,L(z,u * w,w)) = L(x,L(y,w,u),z).
L(x,L(y \ 1,y,z),u) = L(x,y \ 1,u).
L(x,y \ z,u) = L(x,(z \ y) \ 1,u).
L(x,(y \ z) \ 1,u) = L(x,z \ y,u).
L(x,(y \ x) \ 1,a(z,u,w)) = L(x,x * y,a(z,u,w)).
L(x,y,a(z,u,u) * w) = L(x,y,a(u,u,z) * w).
L(x,y,a(z,u,u) * (z \ w)) = L(x,y,L(z,u,u) \ w).
L(x,y,L(z,u,u) \ w) = L(x,y,(z \ w) * a(z,u,u)).
L(x,y,(z \ u) * a(z,w,w)) = L(x,y,L(z,w,w) \ u).
L(x,y,L(z \ u,z,z) \ w) = L(x,y,((z \ u) \ w) * a(u,z,z)).
L(x,y,((z \ u) \ w) * a(u,z,z)) = L(x,y,L(z \ u,z,z) \ w).
L(x,y,z \ 1) * (x \ u) = u * a(z,y,x).
x * a(y,z,u) = u * (L(u,z,y) \ x).
x * (L(x,y,z) \ u) = u * a(z,y,x).
(L(x,y,z) * u) \ (x * u) = a(z,y,x).
a(x,y,L(z,u,w)) = (w * (u * L(z,y,x))) \ (w * (u * z)).
(x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)).
L(x,y,((z \ 1) * u) \ w) = L(x,y,w * ((u \ 1) * z)).
a((a(x,y,y) * z) \ u,w,v5) = a(a(y,y,x) * (z \ u),w,v5).
L(x * (y * z),y,a(x,u,w)) = (x * y) * L(z,y,L(x,u,w)).
a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w) = a(a(y,y,x) * ((L(x,y,y) * z) \ L(x,y,y)),u,w).
L(x,y,z * L(u,w,w)) = L(x,y,z * (a(w,w,z) * u)).
L(x,y,z * (a(u,u,z) * w)) = L(x,y,z * L(w,u,u)).
L(x,y,z * L(u \ w,u,u)) = L(x,y,z * (L(u,u,z) \ w)).
L(x,y,z * (L(u,u,z) \ w)) = L(x,y,z * ((u \ 1) * w)).
a(((L(x,x,y) \ 1) * y) * z,u,w) = a(z * (x \ y),u,w).
L(x,y,((z \ u) \ w) * a(u,z,z)) = L(x,y,((z \ 1) * u) \ w).
L(x,y,((z \ u) \ w) * a(u,z,z)) = L(x,y,w * ((u \ 1) * z)).
a(x \ L(y,y \ z,z \ x),u,w) = a(((y \ z) * (z \ x)) \ 1,u,w).
a(x \ L(y,y \ z,z \ x),u,w) = a((z \ x) \ ((y \ z) \ 1),u,w).
a(R(T(a(x,y,z) * u,w),v5,z) \ (u * a(x,y,z)),v6,v7) = a(z,v5,a(u,v6,v7)).
(a(x,y,y) \ (x \ y)) \ z = L(a(x,y,y) * ((x \ y) \ z),y,a(y,x,x)).
L(a(x,y,y) * ((x \ y) \ z),y,a(y,x,x)) = (a(x,y,y) \ (x \ y)) \ z.
(a(x,y,y) \ (x \ y)) \ z = x * ((a(x,y,y) \ x) \ ((x \ y) \ z)).
x * ((a(x,y,y) \ x) \ ((x \ y) \ z)) = (a(x,y,y) \ (x \ y)) \ z.
(a(x,y,y) \ (x \ y)) \ z = R(x,y,y) * (x \ ((x \ y) \ z)).
R(x,y,y) * (x \ ((x \ y) \ z)) = (a(x,y,y) \ (x \ y)) \ z.
R(x,y,y) * (x \ ((x \ y) \ z)) = (x \ (a(x,y,y) \ y)) \ z.
R(x,y,y) * (x \ ((x \ y) \ z)) = (x \ L(y,y,x)) \ z.
(x \ L(y,y,x)) \ z = a(x,y,y) * ((x \ y) \ z).
a(x,y,y) * ((x \ y) \ z) = (x \ L(y,y,x)) \ z.
(x \ L(y,y,x)) \ z = ((x \ y) \ z) * a(x,y,y).
((x \ y) \ z) * a(x,y,y) = (x \ L(y,y,x)) \ z.
L(a(x,y,a(z,u,L(w,v5,y))) * u,w,a(x,y,z)) = L(u,a(x,y,L(z,v5,y)),w).
a((L(x,y,z) \ x) * (x \ u),w,v5) = a(L(x,y,z) \ u,w,v5).
a(L(x,y,z) \ u,w,v5) = a((x \ u) * (L(x,y,z) \ x),w,v5).
a((x \ y) * (L(x,z,u) \ x),w,v5) = a(L(x,z,u) \ y,w,v5).
a(((x \ y) \ z) * (((1 / x) * y) \ (x \ y)),u,w) = a(L(x \ y,x,x \ 1) \ z,u,w).
a(x,y,L(z,u * L(z,y,x),w)) = (w * (u * L(z,y,x))) \ (w * (u * z)).
a(x,y,L(z,u * L(z,y,x),w)) = a(x,y,L(z,u,w)).
a(L(T(a(x,y,z) * u,w),v5,z) \ (u * a(x,y,z)),v6,v7) = a(z,v5,a(u,v6,v7)).
L(a(x,y,a(z,u,w)) * u,w,a(x,y,z)) = L(u,a(x,y,L(z,v5,y)),w).
L(x,a(y,z,L(u,w,z)),v5) = L(x,a(y,z,u),v5).
L(x,L(L(y,z,u) \ y,w,v5),v6) = L(x,a(u,z,L(y,w,v5)),v6).
a(L(a(x,y,z) * u,w,z) \ (u * a(x,y,z)),v5,v6) = a(z,w,a(u,v5,v6)).
a(x,y,a(z,u,w)) = a(x,y,a(a(v5,v6,x) * z,u,w)).
a(x,y,a(a(z,u,x) * w,v5,v6)) = a(x,y,a(w,v5,v6)).
a(x,y,a(z,u,w)) = a(a(v5,v6,x) * z,u,a(x,y,w)).
a(a(x,y,z) * u,w,a(z,v5,v6)) = a(z,v5,a(u,w,v6)).
(x * y) \ (x * ((y * z) * a(u,w,a(v5,v6,v6)))) = a(v5,w,a(v6,v6,u)) * L(z,y,x).
(x * y) \ (x * (y * (z * a(u,w,a(v5,v6,v6))))) = a(v5,w,a(v6,v6,u)) * L(z,y,x).
L(x * a(y,z,a(u,w,w)),v5,v6) = a(u,z,a(w,w,y)) * L(x,v5,v6).
L(x * a(y,z,a(u,w,w)),v5,v6) = a(w,w,a(u,z,y)) * L(x,v5,v6).
L(L(x,y,a(z,u,u)),w,v5) = a(u,u,a(z,y,x)) * L(x,w,v5).
a(x,x,a(y,z,u)) * L(u,w,v5) = L(L(u,z,a(y,x,x)),w,v5).
L(L(L(x,y,z) \ x,u,w),w,w) \ x = L(L(x,y,a(z,w,w)),y,L(z,u,w)).
L(L(x,y,a(z,u,u)),y,L(z,w,u)) = L(L(L(x,y,z) \ x,w,u),u,u) \ x.
a(x,y,a(z * (u * L(u \ 1,w,w)),v5,v6)) = a(a(w,w,u \ 1) * z,v5,a(x,y,v6)).
a(x,y,a(z * (u * L(u \ 1,w,w)),v5,v6)) = a(z * a(u,w,w),v5,a(x,y,v6)).
a(x,y,a(a(z,z,u \ 1) \ w,v5,v6)) = a(w * a(u,z,z),v5,a(x,y,v6)).
x \ L(a(y,z,z) \ (a(y,z,z) * x),u,a(w,v5,v6)) = a(a(y,z,z) * x,u,a(w,v5,v6)).
a(((x \ y) \ z) * (((x \ y) / y) * x),u,w) = a(L(x \ y,x,x \ 1) \ z,u,w).
a(L(x \ y,x,x \ 1) \ z,u,w) = a(((x \ y) \ z) * ((y \ (x \ y)) * x),u,w).
a(((x \ y) \ z) * ((y \ (x \ y)) * x),u,w) = a(L(x \ y,x,x \ 1) \ z,u,w).
a(L(x \ y,x,x \ 1) \ z,u,w) = a(((x \ y) \ z) * a(y,x,x),u,w).
a(((1 / x) * y) \ z,u,w) = a(((x \ y) \ z) * a(y,x,x),u,w).
a(((x \ y) \ z) * a(y,x,x),u,w) = a(((1 / x) * y) \ z,u,w).
a(((x \ y) \ z) * a(y,x,x),u,w) = a(((x \ 1) * y) \ z,u,w).
a(((x \ y) \ z) * a(y,x,x),u,w) = a(((y \ 1) * x) * z,u,w).
x \ L(x,y,a(z,u,w)) = a(a(v5,v6,v6) * x,y,a(z,u,w)).
a(a(x,y,y) * z,u,a(w,v5,v6)) = z \ L(z,u,a(w,v5,v6)).
a(a(x,y,y) * z,u,a(w,v5,v6)) = a(z,u,a(w,v5,v6)).
a(x,y,a(z,u,w)) = a(x * a(v5,v6,v6),y,a(z,u,w)).
a(x * a(y,z,z),u,a(w,v5,v6)) = a(x,u,a(w,v5,v6)).
L(x,a(y,z,u),w) \ (a(y,z,a(u,x,w)) * x) = a(y,z,a(u,w,x)).
a(x,y,a(z,u,w)) = w * (L(w,a(x,y,z),u) \ a(x,y,a(z,w,u))).
x * (L(x,a(y,z,u),w) \ a(y,z,a(u,x,w))) = a(y,z,a(u,w,x)).
a(x,y,a(z,u,w)) = a(u,a(x,y,z),w) * a(x,y,a(z,w,u)).
a(x,a(y,z,u),w) * a(y,z,a(u,w,x)) = a(y,z,a(u,x,w)).
a(x,y,a(z,u,w)) = a(x,y,a(z,w,u)) * a(u,a(x,y,z),w).
a(x,y,a(z,u,w)) * a(w,a(x,y,z),u) = a(x,y,a(z,w,u)).
a(x \ 1,a(y,z,u),w) * a(y,z,a(u,w,x \ K(v5,v6))) = a(y,z,a(u,x \ K(v5,v6),w)).
a(x,y,a(z,u,w)) * a(z,u,a(w,x,y)) = a(x,a(z,u,w),y).
a(x,y,a(z,u,w)) * a(z,w,a(u,y,x)) = a(u,a(x,y,z),w).
a(x,y,a(z,u,w)) * a(w,u,a(y,x,z)) = a(x,a(z,u,w),y).
a(x,y,a(z,u,w)) * a(y,a(w,u,x),z) = a(x,z,a(y,u,w)).
a(x,y,a(z,u,w)) * a(z,a(w,y,x),u) = a(x,y,a(u,z,w)).
x * a(x,y,a(z,u,w)) = L(x,z,a(y,u,w)) * a(z,a(w,u,x),y).
L(x,y,a(z,u,w)) * a(y,a(w,u,x),z) = x * a(x,z,a(y,u,w)).
a(x,y,a(z,u,w)) = a(u,a(w,y,x),z) * a(x,y,a(u,z,w)).
a(x,a(y,z,u),w) * a(u,z,a(x,w,y)) = a(u,z,a(w,x,y)).
L(x,y,a(z,u,w)) * a(y,a(w,u,x),z) = L(x,z,a(y,u,w)).
L(x * a(y,a(z,u,x),w),y,a(w,u,z)) = L(x,w,a(y,u,z)).
a(x,a(y,z,u),w) * a(y,z,a(u,x,w \ K(v5,v6))) = a(y,z,a(u,w \ K(v5,v6),x)).
a(x,a(y,z,u),w) * a(y,z,a(w,x,u)) = a(y,z,a(u,w \ K(v5,v6),x)).
a(x,y,a(z,u \ K(w,v5),v6)) = a(v6,a(x,y,z),u) * a(x,y,a(u,v6,z)).
a(x,y,a(z,u \ 1,w)) = a(w,a(x,y,z),u) * a(x,y,a(u,w,z)).
a(x,a(y,z,u),w) * a(y,z,a(w,x,u)) = a(y,z,a(u,w \ 1,x)).
a(x,a(y,z,u),w) * a(u,z,a(x,w,y)) = a(u,z,a(y,x \ 1,w)).
a(x,y,a(z,u \ 1,w)) = a(x,y,a(w,u,z)).
a(x,y,a(z,u,w)) = a(z,u \ 1,a(w,y,x)).
a(x,y \ 1,a(z,u,w)) = a(w,u,a(x,y,z)).
a(x * y,y * (x * y),a(z,u,w)) = a(w,u,a(x * y,x,z)).
a(x,y,a(z,(u \ 1) * w,v5)) = a(z,(w \ 1) * u,a(v5,y,x)).
a(x,(y \ 1) * z,a(u,w,v5)) = a(v5,w,a(x,(z \ 1) * y,u)).
a(x,y,a(z * u,z,w)) = a(z * u,u,a(w,y,x)).
a(x * y,y,a(z,u,w)) = a(w,u,a(x * y,x,z)).
a(x,y,a(z,(u \ 1) * w,v5)) = a(z,y,a(x,w \ u,v5)).
a(x,y * (z \ 1),a(u,w,v5)) = a(u,w,a(v5,y \ z,x)).
a(x,y,a(z,u \ w,v5)) = a(z,y,a(x,w \ u,v5)).
a(x,y,a(z,u \ w,v5)) * a(z,y,x) = a(z,y,L(x,w \ u,v5)).
a(x,y,a(z,u \ (w \ 1),v5)) = a(v5,w * u,a(x,y,z)).
x * a(x,y * z,a(u,w,v5)) = L(x,z \ (y \ 1),a(v5,w,u)).
L(x,y \ (z \ 1),a(u,w,v5)) = x * a(x,z * y,a(v5,w,u)).
L(x,y \ (z \ 1),a(u,w,v5)) = L(x,z * y,a(v5,w,u)).
L(x,y * a(z,u,z),a(w,v5,v6)) = L(x,y \ (v7 \ L(v7,v8,v7)),a(v6,v5,w)).
L(x,y \ (z \ L(z,u,z)),a(w,v5,v6)) = L(x,y * a(v7,v8,v7),a(v6,v5,w)).
a(x,y,L(z,u \ w,v5)) = a(x,y,L(z,w \ u,v5 \ 1)).
a(x,y,L(z,u \ w,v5 \ 1)) = a(x,y,L(z,w \ u,v5)).
a(x,y,L(z,u,w \ 1)) = a(x,y,L(z,u \ 1,w)).
a(x,y,L(z,u \ 1,w)) = a(x,y,L(z,u,w \ 1)).
a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,u,w)).
a(x,y,L(z,u * (w \ 1),v5 \ 1)) = a(x,y,L(z,u \ w,v5)).
a((x \ y) \ L(z,x,x),u,w) = a(x * (z / y),u,L(w,x,y \ 1)).
a(x,y,L(L(z,u,w \ 1),w,w)) = a(x,y,L(z,u * (w \ 1),w \ 1)).
a((1 / L(x,x,y \ 1)) \ z,u,L(w,x,x)) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((x \ y) \ L(z,x,x),u,w) = a(x * (y \ z),u,L(w,x,y \ 1)).
a(x * (y \ z),u,L(w,x,y \ 1)) = a(((y \ 1) * x) * z,u,w).
a(x,y,L(L(z,u,w \ 1),w,w)) = a(x,y,L(z,u \ w,w)).
a(x,y,(z \ u) \ L((z \ 1) * (w * u),z,z)) = a(x,y,L(T(w,u),u \ z,z)).
a(x,y,L(z,u \ w,w)) = a(x,y,L(z,u,w \ 1)).
L(x,y \ (z \ L(z,u,z)),a(w,v5,v6)) = L(x,y,a(v6,v5,w)).
L(x,y,a(z,u,w)) = L(x,y \ 1,a(w,u,z)).
L(x,y \ 1,a(z,u,w)) = L(x,y,a(w,u,z)).
L(x,y \ x,a(z,u,w)) = L(x,x * y,a(w,u,z)).
a(x,y,(z \ u) \ L((z \ 1) * (w * u),z,z)) = a(x,y,L(w,u \ z,z)).
a(x,y,(z \ u) \ (T(z,z \ 1) \ (w * u))) = a(x,y,L(w,u \ z,z)).
a(x,y,L(z,u \ w,w)) = a(x,y,(w \ u) \ (w \ (z * u))).
a(x,y,(z \ u) \ (z \ (w * u))) = a(x,y,L(w,u \ z,z)).
a(x,y,L(z,u \ w,w)) = a(x,y,L(z,u * w,u)).
a(x,y,L(z,u \ w,w)) = a(x,y,L(z,w,u)).
a(x,y,L(z,u,w)) = a(x,y,L(z,w,u \ 1)).
a(x,y,L(z,u,w \ 1)) = a(x,y,L(z,w,u)).
a(x,y,L(z,u,w)) = a(x,L(y,w,u),z).
a(x,L(y,z,u),w) = a(x,y,L(w,u,z)).
a(x * (y \ z),u,L(w,y,x)) = a(((y \ 1) * x) * z,u,w).
a(x,y,L(L(z,u,w),u,w)) = a(x,y,a(u,z,w) * z).
a(((x \ 1) * y) * (y \ z),u,w) = a(y * ((y * x) \ z),u,w).
a((((1 / x) \ 1) * a(y,x,x)) * z,u,w) = a((L(x,x,y \ 1) \ 1) \ z,u,L(w,x,x)).
a((L(x,x,y \ 1) \ 1) \ z,u,L(w,x,x)) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((((1 / x) \ 1) * a(y,x,x)) * z,u,w) = a(L(x \ 1,x,y) \ z,u,L(w,x,x)).
a(L(x \ 1,x,y) \ z,u,L(w,x,x)) = a((((1 / x) \ 1) * a(y,x,x)) * z,u,w).
a((((1 / x) \ 1) * a(y,x,x)) * z,u,w) = a(L(x,x,y) * z,u,w).
a((x * a(y,x,x)) * z,u,w) = a(L(x,x,y) * z,u,w).
a(x * (y * a(z,x,x)),u,w) = a(L(x,x,z) * y,u,w).
a(L(x,x,y) * (z \ 1),u,L(w,z,z)) = a(z \ (a(x,x,y) \ x),u,w).
a(x \ (a(y,y,z) \ y),u,w) = a(L(y,y,z) * (x \ 1),u,L(w,x,x)).
a(x \ (a(y,y,z) \ y),u,w) = a(x \ L(y,y,z),u,w).
a(x \ L(y,y,z),u,w) = a(x \ (y * a(z,y,y)),u,w).
a(x \ (y * a(z,y,y)),u,w) = a(x \ L(y,y,z),u,w).
a((x \ y) \ L(z,z,u),w,L(v5,x \ y,x)) = a(y \ (x * L(z,z,u \ 1)),w,v5).
a(x \ (y * L(z,z,u \ 1)),w,v5) = a(x \ (y * L(z,z,u)),w,v5).
a(x \ (y * (a(z,u,u) * u)),w,v5) = a(x \ (y * L(u,u,z)),w,v5).
a((x \ (y * z)) * a(u,z,z),w,v5) = a(x \ (y * L(z,z,u)),w,v5).
(x \ R(x,y,z)) * (u * a(y,y,a(z,x,x))) = a(x,y,z) * u.
L(x,y,a(z,u,w) * v5) = L(x,y,a(w,u,z) \ v5).
L(x,y,a(z,u,w) \ v5) = L(x,y,a(w,u,z) * v5).
a(a(x,y,z) * u,w,v5) = L(L(v5,w,a(z,y,x) \ u) \ v5,v5,w).
L(L(x,y,a(z,u,w) \ v5) \ x,x,y) = a(a(w,u,z) * v5,y,x).
L(x,y,a(z,u,w) \ (v5 * L(v6,v5,a(z,u,w)))) = L(x,y,(a(w,u,z) * v5) * v6).
L(x,y,z \ (a(u,w,w) \ v5)) = L(x,y,a(w,w,u) * (z \ v5)).
L(x,y,(a(z,u,u) * w) \ v5) = L(x,y,a(u,u,z) * (w \ v5)).
L(x,y,(z \ a(u,w,w)) \ v5) = L(x,y,a(w,w,u) * ((z \ 1) \ v5)).
L(x,y,a(z,z,u) * ((w \ 1) \ v5)) = L(x,y,(w \ a(u,z,z)) \ v5).
a(a(x,y,z) \ u,w,v5) = a(a(z,y,x) * u,w,v5).
a(a(x,y,z \ 1) \ u,w,v5) = a(a(z,y,x) \ u,w,v5).
a(x,y,a(a(z,u,u) \ w,v5,v6)) = a(w * a(z,u,u),v5,a(x,y,v6)).
a(x * a(y,z,z),u,a(w,v5,v6)) = a(w,v5,a(a(y,z,z) \ x,u,v6)).
L(x,y,a(z,u,u) * ((w \ 1) \ v5)) = L(x,y,(w \ a(z,u,u)) \ v5).
a(x * a(y,z,z),u,a(w,v5,v6)) = a(w,v5,a(a(z,z,y) * x,u,v6)).
L(x,y,(z \ a(u,w,w)) \ v5) = L(x,y,((z \ 1) \ v5) * a(u,w,w)).
L(x,y,((z \ 1) \ u) * a(w,v5,v5)) = L(x,y,(z \ a(w,v5,v5)) \ u).
a(x,y,a(a(z,z,u) * w,v5,v6)) = a(w,v5,a(x,y,v6)).
a(x,y,a(z \ u,w,v5)) = a(L(z,v6,v6) \ u,w,a(x,y,v5)).
a(L(x,y,y) \ z,u,a(w,v5,v6)) = a(w,v5,a(x \ z,u,v6)).
a(x,y,a(z * u,w,v5)) = a(z * L(u,v6,v6),w,a(x,y,v5)).
a(x * L(y,z,z),u,a(w,v5,v6)) = a(w,v5,a(x * y,u,v6)).
a(x,y,a(z \ (u \ L(z,w,w)),v5,v6)) = a(u,v5,a(v6,y,x)).
a(x,y,a(z * u,w,v5)) = a(v5,y,a(x,w,z * L(u,v6,v6))).
a(x,y,a(z,u,w * L(v5,v6,v6))) = a(z,y,a(w * v5,u,x)).
L(x,y,(a(z,u,w) \ v5) * v6) = L(x,y,(a(w,u,z) * v5) * v6).
L(x,y,((a(z,u,w) / v5) \ 1) * v6) = L(x,y,(a(w,u,z) * v5) * v6).
L(x,y,(a(z,u,w) * v5) * v6) = L(x,y,((v5 \ a(w,u,z)) \ 1) * v6).
L(x,y,((z \ a(u,w,v5)) \ 1) * v6) = L(x,y,(a(v5,w,u) * z) * v6).
L(x,y,(a(z,u,w) * v5) * v6) = L(x,y,(v5 \ a(w,u,z)) \ v6).
L(x,y,(z \ a(u,w,v5)) \ v6) = L(x,y,(a(v5,w,u) * z) * v6).
L(x,y,((z \ 1) \ u) * a(w,v5,v5)) = L(x,y,(a(v5,v5,w) * z) * u).
L(x,y,((z \ 1) \ u) * a(w,v5,v5)) = L(x,y,z * (a(v5,v5,w) * u)).
R(x,a(y,z,z) * u,L(w,u,a(y,z,z))) = a(y,z,z) \ (((x * (a(y,z,z) * u)) * w) / (u * w)).
a(x,y,y) \ (((z * (a(x,y,y) * u)) * w) / (u * w)) = R(z,a(x,y,y) * u,L(w,u,a(x,y,y))).
a(x,y,L(L(z,u,u),u,L(w,u,a(x,y,z)))) = (a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)).
(x \ y) * ((a(z,u,w) \ (x \ y)) \ (a(z,u,w) \ y)) = a(w \ L(w,u,z),x \ y,x) \ y.
a(x \ L(x,y,z),u \ w,u) \ w = L(w,u \ w,a(x,y,z)).
(x * (a(y,z,z) * u)) \ (x * (a(y,z,z) * (u * w))) = L(w,L(u,a(y,z,z),x),x * a(y,z,z)).
a(x,y,y) \ R(z * a(x,y,y),u,w) = R(z,a(x,y,y) * u,L(w,u,a(x,y,y))).
R(x,a(y,z,z) * u,L(w,u,a(y,z,z))) = a(y,z,z) \ R(x * a(y,z,z),u,w).
R(a(x,y,y) \ (z * a(x,y,y)),u,w) = R(z,a(x,y,y) * u,L(w,u,a(x,y,y))).
R(x,a(y,z,z) * u,L(w,u,a(y,z,z))) = R(a(y,z,z) \ (x * a(y,z,z)),u,w).
R(x,a(y,z,z) * u,L(w,u,a(y,z,z))) = R(T(x,a(y,z,z)),u,w).
R(x,a(y,z,z) * u,L(w,u,a(y,z,z))) = R(x,u,w).
R(x,a(y,z,z) * u,w) = R(x,u,w).
a(x,a(y,z,z) * u,w) = x \ R(x,u,w).
a(x,y,z) = a(x,a(u,w,w) * y,z).
a(x,a(y,z,z) * u,w) = a(x,u,w).
a(x,y * a(z,u,u),w) = a(x,y,w).
L(x,y * a(z,u,u),w) = a(w,y,x) \ x.
a(x,y,z) = L(z,y * a(u,w,w),x) \ z.
L(x,y * a(z,u,u),w) \ x = a(w,y,x).
L(x,y,z) = L(x,y * a(u,w,w),z).
L(x,y * a(z,u,u),w) = L(x,y,w).
a(x,y,L(L(z,u,w),u,u)) = (a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)).
(a(x,y,z) * (u * w)) / L(u * w,u,a(x,y,z)) = a(x,y,L(L(z,u,w),u,u)).
a(x,y,L(L(z,u,w),u,u)) = (u * w) * (L(u * w,u,a(x,y,z)) \ a(x,y,z)).
(x * y) * (L(x * y,x,a(z,u,w)) \ a(z,u,w)) = a(z,u,L(L(w,x,y),x,x)).
(x * y) * L((x * y) \ a(z,u,w),x,a(z,u,w)) = a(z,u,L(L(w,x,y),x,x)).
a(x,y,L(L(z,u,w),u,u)) = a(x,y,L(z,u,u * w)).
a(x,y,L(z,u,u * w)) = (((1 / u) \ a(x,y,z)) * w) / (u * w).
(((1 / x) \ a(y,z,u)) * w) / (x * w) = a(y,z,L(u,x,x * w)).
a(x,y,L(z,u,u * w)) = a(x,y,L(z,u,w)).
a(x,y,L(z,u,w)) = a(x,y,L(z,u,u \ w)).
a(x,y,L(z,u,u \ w)) = a(x,y,L(z,u,w)).
x * a(y,z,L(u,w * L(u,z,y),x)) = (w * u) * ((w * L(u,z,y)) \ x).
(x * y) * ((x * L(y,z,u)) \ w) = w * a(u,z,L(y,x * L(y,z,u),w)).
a(x,y,L(z,u,u * w)) = a(x,y,L(z,u,u \ w)).
a(x,y,L(z,u,u \ w)) = a(x,y,L(z,u,u * w)).
a(x,y,L(z,u,u * w)) \ a(x,y,z) = a(u \ w,u,a(x,y,z)).
T(((1 / x) \ a(y,z,u)) / x,w) \ T(a(y,z,L(u,x,x * v5)),w) = a((((1 / x) \ a(y,z,u)) \ x) \ 1,x,v5).
a(x \ y,x,a(z,u,w)) = a(x * y,x,a(z,u,w)).
a(x * y,x,a(z,u,w)) = a(z,x,a(y \ x,u,w)).
a(x,y,a(z \ y,u,w)) = a(w,u,a(x,y,z * y)).
a(x,R(y,z,z),a(u \ L(y,z,z),w,v5)) = a(v5,w,a(x,R(y,z,z),u * R(y,z,z))).
(x * y) * ((x * L(y,z,u)) \ w) = w * a(u,z,L(y,x,w)).
(x * y) * L(L(y,z,u) \ w,L(y,z,u),x) = (x * w) * a(u,z,L(y,x,x * w)).
L(x,L(y,a(z,u,u),w),w * a(z,u,u)) = L(L(x,y,a(z,u,u)),a(z,u,u) * y,w).
L(L(x,y,a(z,u,u)),a(z,u,u) * y,w) = L(x,L(y,a(z,u,u),w),w * a(z,u,u)).
L(L(x,y,a(z,u,u)),a(z,u,u) * y,w) = L(x,y,w * a(z,u,u)).
L(x,a(y,z,z) * u,w) = L(x,u,w * a(y,z,z)).
L(x,y * a(z,u,u),w) = L(x,y,w * a(z,u,u)).
L(x,y,z * a(u,w,w)) = L(x,y,z).
L(x,y,z * a(u,w,w)) \ x = a(z,y,x).
L(x,y,(z \ u) \ w) = L(x,y,w * ((u \ 1) * z)).
L(x,y,z * ((u \ 1) * w)) = L(x,y,(w \ u) \ z).
L(x,y,(z \ 1) \ u) = L(x,y,z * (a(w,w,v5) * u)).
L(x,y,z * (a(u,u,w) * v5)) = L(x,y,(z \ 1) \ v5).
a(x * a(y,z,z),u,w) = a(x,u,w).
a((x \ L(y,y,x)) \ z,u,w) = a((x \ y) \ z,u,w).
a((x \ y) \ z,u,w) = a(((y \ 1) * x) * z,u,w).
a(((x \ 1) * y) * z,u,w) = a((y \ x) \ z,u,w).
a(x \ (y * z),u,w) = a(x \ (y * L(z,z,v5)),u,w).
a(x \ (y * L(z,z,u)),w,v5) = a(x \ (y * z),w,v5).
a((x \ L(y,y,x)) \ z,u,w) = a(z * (y \ x),u,w).
a((x \ y) \ (x \ z),u,w) = a(x * ((x * y) \ z),u,w).
L(x,y,z * (a(u,u,w) * v5)) = L(x,y,z * v5).
L(x,y,z * (u \ w)) = L(x,y,z * (L(u,u,v5) \ w)).
L(x,y,z * (L(u,u,w) \ v5)) = L(x,y,z * (u \ v5)).
a(x \ ((y \ 1) * z),u,w) = a(x \ ((z \ y) \ 1),u,w).
a(x \ ((y \ z) \ 1),u,w) = a(x \ ((z \ 1) * y),u,w).
a(x * (y \ z),u,w) = a((z \ y) \ x,u,w).
a((x \ y) \ z,u,w) = a(z * (y \ x),u,w).
a(L(x,y,z) * ((y \ z) \ z),u,w) = a(x * y,u,L(w,y,z)).
L(x,y,z * (u \ w)) = L(x,y,z * ((u \ 1) * w)).
L(x,y,z * ((u \ 1) * w)) = L(x,y,z * (u \ w)).
L(x,y,z * (u \ w)) = L(x,y,(w \ u) \ z).
L(x,y,(z \ u) \ w) = L(x,y,w * (u \ z)).
L(x,y,L((z \ u) \ w,z,w)) = L(x,y,w * ((w * u) \ (w * z))).
x \ L(x,y,z * (u \ w)) = a(z \ (w \ u),y,x).
L(x,y,z * ((u \ w) \ w)) = L(x,y,z * L(u,u,w)).
L(x,y,z * L(u,u,w)) = L(x,y,z * ((u \ w) \ w)).
L(x,y,z * L(u,u,w)) = L(x,y,u * z).
L(x,y,L((z \ u) \ w,z,w)) = L(x,y,z * (u \ w)).
a(x * y,z,L(u,y,w)) = a(y * L(x,y,w),z,u).
a(x * L(y,x,z),u,w) = a(y * x,u,L(w,x,z)).
a((x \ y) * x,z,L(u,x,w)) = a(w * (x * ((w * x) \ y)),z,u).
L(x,y,z * ((z * u) \ (z * w))) = L(x,y,w * (u \ z)).
L(x,y,L((z \ u) * w,z,w)) = L(x,y,u * (z \ w)).
L(x,y,(z \ u) * (w \ z)) = L(x,y,z * ((w * z) \ u)).
L(x,y,z * ((u * z) \ w)) = L(x,y,(u \ z) * (z \ w)).
L(x,y,(z \ u) * (u \ w)) = L(x,y,u * ((z * u) \ w)).
a(x \ R(y,y \ z,z \ x),u,w) = w \ L(w,u,z * ((y * z) \ x)).
a(x * (y * ((x * y) \ z)),u,w) = a(z,u,L(w,y,x)).
a(x * ((x * y) \ (y * z)),u,w) = a(z,u,L(w,x,y)).
a(x \ R(y,y \ z,z \ x),u,w) = a(z \ (x \ (y * z)),u,w).
a(x \ L(y,y \ z,z \ x),u,w) = a(z \ (x \ (y * z)),u,w).
a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w) = a(a(y,y,x) * (L(x,y,y) \ (z \ L(x,y,y))),u,w).
a(R(x,y,y) \ L(z \ x,z,a(x,y,y)),u,w) = a(x \ (z \ L(x,y,y)),u,w).
a((x * a(y,z,z)) \ 1,u,L(w,x * a(y,z,z),R(y,z,z))) = a(y \ (x \ L(y,z,z)),u,w).
a(a(x,y,y) \ (z \ 1),u,L(w,z * a(x,y,y),R(x,y,y))) = a(x \ (z \ L(x,y,y)),u,w).
a(a(x,y,y) \ (z \ 1),u,L(w,z * a(x,y,y),L(x,y,y))) = a(x \ (z \ L(x,y,y)),u,w).
a(x \ (y \ L(x,z,z)),u,w) = a(a(x,z,z) \ (y \ 1),u,L(w,y * a(x,z,z),x)).
a(a(x,y,y) \ (z \ 1),u,L(w,z * a(x,y,y),x)) = a(x \ (z \ L(x,y,y)),u,w).
a(a(x,y,y) \ (z \ 1),u,L(w,z,x)) = a(x \ (z \ L(x,y,y)),u,w).
a(x \ (y \ L(x,z,z)),u,w) = a(a(z,z,x) * (y \ 1),u,L(w,y,x)).
a(a(x,x,y) * (z \ 1),u,L(w,z,y)) = a(y \ (z \ L(y,x,x)),u,w).
a(x \ (y \ L(x,z,z)),u,w) = a(y \ a(z,z,x),u,L(w,y,x)).
a(x \ a(y,y,z),u,L(w,x,z)) = a(z \ (x \ L(z,y,y)),u,w).
a(x \ (y \ L(x,z,z)),u,w) = a((x * y) \ L(x,z,z),u,w).
a((x * y) \ L(x,z,z),u,w) = a(x \ (y \ L(x,z,z)),u,w).
a(x,R(y,z,z),a(y \ (u \ L(y,z,z)),w,v5)) = a(v5,w,a(x,R(y,z,z),(y * u) * R(y,z,z))).
a(x,y,a(z,R(u,w,w),(u * v5) * R(u,w,w))) = a(v5,y,a(x,R(u,w,w),z)).
a(x,y,a(z,R(u,w,w),(u * v5) * R(u,w,w))) = a(v5,y,a(x,L(u,w,w),z)).
a(x,y,a(z,R(u,w,w),(u * v5) * R(u,w,w))) = a(v5,y,a(x,u,z)).
a(x,y,a(z,R(u,w,w),(u * v5) * L(u,w,w))) = a(v5,y,a(x,u,z)).
a(x,y,a(z,R(u,w,w),u * (v5 * L(u,w,w)))) = a(v5,y,a(x,u,z)).
a(x,y,a(z,L(u,w,w),u * (v5 * L(u,w,w)))) = a(v5,y,a(x,u,z)).
a(x,y,a(z,u,w)) = a(z,y,a(w,u,u * (x * L(u,v5,v5)))).
a(x,y,a(z,u,u * (w * L(u,v5,v5)))) = a(w,y,a(x,u,z)).
a(x \ R(y,z,z),u,L(w,x \ R(y,z,z),a(y,z,z))) = a((a(y,z,z) \ (1 / (x \ y))) \ 1,u,w).
a(x \ R(y,z,z),u,L(w,x \ L(y,z,z),a(y,z,z))) = a((a(y,z,z) \ (1 / (x \ y))) \ 1,u,w).
a(x \ L(y,z,z),u,L(w,x \ L(y,z,z),a(y,z,z))) = a((a(y,z,z) \ (1 / (x \ y))) \ 1,u,w).
a((a(x,y,y) \ (1 / (z \ x))) \ 1,u,w) = a(z \ L(x,y,y),u,w).
a(((1 / (x \ y)) \ 1) * a(y,z,z),u,w) = a(x \ L(y,z,z),u,w).
a((x \ y) * a(y,z,z),u,w) = a(x \ L(y,z,z),u,w).
a((x \ (T(1 / y,z) * u)) * a(T(1 / y,z) * u,y,y),w,v5) = a(x \ (K(y \ 1,z) * (y \ u)),w,v5).
a((x \ (T(1 / y,z) * u)) * a((1 / y) * u,y,y),w,v5) = a(x \ (K(y \ 1,z) * (y \ u)),w,v5).
a((x \ (T(1 / y,z) * u)) * a(y \ u,y,y),w,v5) = a(x \ (K(y \ 1,z) * (y \ u)),w,v5).
a(x \ (K(y \ 1,z) * (y \ u)),w,v5) = a(a(u,y,y) * (x \ (T(1 / y,z) * u)),w,v5).
a(a(x,y,y) * (z \ (T(1 / y,u) * x)),w,v5) = a(z \ (K(y \ 1,u) * (y \ x)),w,v5).
a(x \ (K(y \ 1,z) * (y \ u)),w,v5) = a((x \ ((1 / y) * u)) * a(u,y,y),w,v5).
a(x \ (K(y \ 1,z) * (y \ u)),w,v5) = a((x \ ((y \ 1) * u)) * a(u,y,y),w,v5).
a((x \ ((y \ 1) * z)) * a(z,y,y),u,w) = a(x \ (y \ z),u,w).
a(x \ (y \ z),u,w) = a(x \ ((y \ 1) * z),u,w).
a(x \ ((y \ 1) * z),u,w) = a(x \ (y \ z),u,w).
a(x \ ((y \ z) \ 1),u,w) = a(x \ (z \ y),u,w).
a(x \ L(y,y \ z,z \ x),u,w) = a((z \ x) \ (z \ y),u,w).
a(x \ L(y,y \ z,z \ x),u,w) = a(z * ((z * x) \ y),u,w).
a(x * ((x * y) \ z),u,w) = a(x \ (y \ (z * x)),u,w).
a(x \ (y \ (z * x)),u,w) = a(x * ((x * y) \ z),u,w).
a(x * ((x * y) \ (y * z)),u,w) = a(a(y,z,x) * z,u,w).
a(a(x,y,z) * y,u,w) = a(z * ((z * x) \ (x * y)),u,w).
a(a(x,y,z) * y,u,w) = a(y,u,L(w,z,x)).
a(x,y,L(L(z,u,w),u,w)) = a(x,y,L(z,w,u)).
a(x,y,L(z,u,w)) = a(x,y,a(w,z,u) * z).
a(x,y,a(z,u,w) * u) = a(x,y,L(u,w,z)).
a(x,y,L(z,u,w)) \ a(x,y,L(z,w,u)) = a(u,w,a(x,y,z)).
a(x,y,a(z,u,w)) = a(y,x,a(z,u,w)) * a(z,u,a(w,y,x)).
a(x,y,a(z,u,w)) * a(z,u,a(w,x,y)) = a(y,x,a(z,u,w)).
a(x,y,a(z,u,w)) = a(y,a(z,u,w),x).
a(x,a(y,z,u),w) = a(w,x,a(y,z,u)).
x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = w * a(a(y,z,u) \ w,x,a(y,z,u)).
x * a(a(y,z,u) \ x,w,a(y,z,u)) = L(x,a(u,z,y),w).
x * a(a(y,z,u) * x,w,a(u,z,y)) = L(x,a(y,z,u),w).
x * a(y,z,a(x,u,w)) = L(x,a(w,z,y),u).
L(x,a(y,z,u),w) = L(x,z,a(y,w,u)).
x * (a(y,z,u) * ((x * a(y,z,u)) \ w)) = L(w,z,a(y,x,u)).
T(a(x,y,L(z,u,u)),w) \ T(a(x,y,L(z,u,u * v5)),w) = a((((1 / u) \ a(x,y,z)) \ u) \ 1,u,v5).
a(x,y,L(z,u,u)) \ T(a(x,y,L(z,u,u * w)),v5) = a((((1 / u) \ a(x,y,z)) \ u) \ 1,u,w).
a(x,y,L(z,u,u)) \ a(x,y,L(z,u,u * w)) = a((((1 / u) \ a(x,y,z)) \ u) \ 1,u,w).
a((((1 / x) \ a(y,z,u)) \ x) \ 1,x,w) = a(x,x,a(y,z,u)) * a(y,z,a(u,x,x * w)).
a(x,x,a(y,z,u)) * a(y,z,a(u,x,x * w)) = a((((1 / x) \ a(y,z,u)) \ x) \ 1,x,w).
a(x,x,a(y,z,u)) * a(y,z,a(u,x,x * w)) = a(a(y \ 1,z,L(u,x,x)) \ 1,x,w).
a(x,x,a(y,z,u)) * a(y,z,a(u,x,x * w)) = a(a(y,z,L(u,x,x)),x,w).
a(x,x,a(y,z,u)) * a(y,z,a(u,x,x * w)) = a(y,z,a(L(u,x,x),x,w)).
a(x,x,a(y,z,u)) * a(y,z,a(u,x,x * w)) = a(y,z,a(u,x,w)).
1 * a(x,y,a(z,u,u * w)) = a(x,y,a(z,u,w)).
a(x,y,a(z,u,u * w)) = a(x,y,a(z,u,w)).
a(x * y,y,a(z,u,w * w)) = a(w,u,a(z * z,y,x)).
a(x,y,a(z,u,w * L(u,v5,v5))) = a(w,y,a(x,u,z)).
a(x,y,a(z,u,w)) = a(w,y,a(x * u,u,z)).
a(x,y,a(z * u,u,w)) = a(z,y,a(w,u,x)).
a(x,y,a(z * u,z,w)) = a(u,y,a(w,z,x)).
a(x * y,y,a(z,u,w)) = a(y,u,a(z,x,w)).
a(x,y,a(z * z,u,w)) = a(u,y,a(z,w,x * x)).
a(x,x,a(y,z,u)) * a(u,z,a(y,w,x)) = L(L(R(u,z,y) \ u,w,x),x,x) \ (R(u,z,y) \ u).
L(L(R(x,y,z) \ x,u,w),w,w) \ (R(x,y,z) \ x) = a(w,w,a(z,y,x)) * a(x,y,a(z,u,w)).
L(R(x,y,z) \ x,u * w,w) \ (R(x,y,z) \ x) = a(w,w,a(z,y,x)) * a(x,y,a(z,u,w)).
a(x,x,a(y,z,u)) * a(u,z,a(y,w,x)) = (R(u,z,y) \ u) * L(u \ R(u,z,y),w * x,x).
a(x,x,a(y,z,u)) * a(u,z,a(y,w,x)) = a(u,z,a(y,w * x,x)).
1 * a(x,y,a(z,u,w)) = a(x,y,a(z,u * w,w)).
a(x,y,a(z,u * w,w)) = 1 * a(x,y,a(z,u,w)).
a(x,y,a(z,u,w)) = a(x,y,a(z,u * w,w)).
a(x,y,a(z,u * w,w)) = a(x,y,a(z,u,w)).
a(x,y,a(z,u,w)) = a(x,y,a(z,w \ u,w)).
a(x,y,a(z,u \ w,u)) = a(x,y,a(z,w,u)).
L(x * R(L(y \ L(y,z,u),w,v5),v6,v7),L(L(y,z,u) \ y,w,v5),L(L(y,z,u) \ y,w,v5)) = R(L(L(y,z,u) \ y,w,v5),v6,v7) \ T(x,L(y \ L(y,z,u),v8,v9) * 1).
L(x * L(R(y \ L(y,z,u),w,v5),v6,v7),L(L(y,z,u) \ y,v6,v7),L(L(y,z,u) \ y,v6,v7)) = R(L(L(y,z,u) \ y,v6,v7),w,v5) \ T(x,L(y \ L(y,z,u),v8,v9) * 1).
L(x * L(L(y \ L(y,z,u),w,v5),v6,v7),L(L(y,z,u) \ y,v6,v7),L(L(y,z,u) \ y,v6,v7)) = R(L(L(y,z,u) \ y,v6,v7),w,v5) \ T(x,L(y \ L(y,z,u),v8,v9) * 1).
R(L(L(x,y,z) \ x,u,w),v5,v6) \ T(v7,L(x \ L(x,y,z),v8,v9) * 1) = L(v7 * L(L(x \ L(x,y,z),v5,v6),u,w),L(L(x,y,z) \ x,u,w),a(z,y,L(x,u,w))).
L(x * L(L(y \ L(y,z,u),w,v5),v6,v7),L(L(y,z,u) \ y,v6,v7),a(u,z,L(y,v6,v7))) = R(L(L(y,z,u) \ y,v6,v7),w,v5) \ T(x,L(y \ L(y,z,u),v8,v9) * 1).
R(L(L(x,y,z) \ x,u,w),v5,v6) \ T(v7,L(x \ L(x,y,z),v8,v9) * 1) = L(v7 * L(L(x \ L(x,y,z),v5,v6),u,w),a(z,y,L(x,u,w)),a(z,y,L(x,u,w))).
L(x * L(L(y \ L(y,z,u),w,v5),v6,v7),a(u,z,L(y,v6,v7)),a(u,z,L(y,v6,v7))) = R(L(L(y,z,u) \ y,v6,v7),w,v5) \ T(x,L(y \ L(y,z,u),v8,v9) * 1).
R(L(L(x,y,z) \ x,u,w),v5,v6) \ T(v7,L(x \ L(x,y,z),v8,v9) * 1) = v7 * L(L(x \ L(x,y,z),v5,v6),u,w).
L(R(L(x,y,z) \ x,u,w),v5,v6) \ T(v7,L(x \ L(x,y,z),v8,v9) * 1) = v7 * L(L(x \ L(x,y,z),u,w),v5,v6).
L(L(L(x,y,z) \ x,u,w),v5,v6) \ T(v7,L(x \ L(x,y,z),v8,v9) * 1) = v7 * L(L(x \ L(x,y,z),u,w),v5,v6).
L(L(L(x,y,z) \ x,u,w),v5,v6) \ T(v7,L(x \ L(x,y,z),v8,v9)) = v7 * L(L(x \ L(x,y,z),u,w),v5,v6).
L(L(L(x,y,z) \ x,u,w),v5,v6) \ T(v7,x \ L(x,y,z)) = v7 * L(L(x \ L(x,y,z),u,w),v5,v6).
L(L(L(x,y,z) \ x,u,w),v5,v6) \ v7 = v7 * L(L(x \ L(x,y,z),u,w),v5,v6).
L(L(x,y,a(z,u,u)),y,L(z,w,u)) = x * L(L(x \ L(x,y,z),w,u),u,u).
L(L(x,y,a(z,u,u)),y,L(z,w,u)) = x * L(x \ L(x,y,z),w * u,u).
L(L(x,y,a(z,u,u)),y,L(z,w,u)) = L(x,y,L(z,w * u,u)).
L(x,y,L(z,u,w)) = L(x,y,L(z,u * w,w)).
L(x,y,L(z,u * w,w)) = L(x,y,L(z,u,w)).
L(x,y,L(z,u,w)) = L(x,L(y,w,u),z).
L(x,L(y,z,u),w) = L(x,y,L(w,u,z)).
(x * y) * L(L(y,z,u) \ w,y,L(x,u,z)) = (x * w) * a(u,z,L(y,x,x * w)).
L(x * (y * (L(y,z,u) \ w)),y,a(x,u,z)) = (x * w) * a(u,z,L(y,x,x * w)).
L(x * (y * a(z,u,w)),w,a(x,z,u)) = (x * y) * a(z,u,L(w,x,x * y)).
L(x * (y * a(z,u,w)),w,a(x,z,u)) = (x * y) * a(z,u,L(w,x,y)).
L(x * (y * a(z,u,w)),w,a(x,z,u)) = (a(z,u,w) * x) * y.
L(x * (((a(y,z,u) * x) \ w) * a(y,z,u)),u,a(x,y,z)) = w.
L(x * (a(y,z,u) * ((x * a(y,z,u)) \ w)),u,a(x,y,z)) = w.
L(L(x,y,a(z,u,w)),w,a(u,z,y)) = x.
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = L(a(z,u,L(w,y,x)),L(x \ 1,y,a(z,u,w)),L(x,y,a(z,u,w))) \ (x * a(z,u,w)).
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = L(a(z,u,L(w,y,x)),x \ 1,x) \ (x * a(z,u,w)).
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = a(z,u,L(L(w,y,x),x \ 1,x)) \ (x * a(z,u,w)).
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = a(z,u,L(L(w,y,x),x,x)) \ (x * a(z,u,w)).
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = a(z,u,L(w,y * x,x)) \ (x * a(z,u,w)).
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = x * a(x,y * x,a(z,u,w)).
R(T(L(x,y,a(z,u,w)),a(z,u,L(w,y,x))),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = L(x,y * x,a(z,u,w)).
R(L(x,y,a(z,u,w)),L(x,y,a(z,u,w)) \ 1,a(z,u,L(w,y,x))) = L(x,y * x,a(z,u,w)).
R(L(x,y,a(z,u,w)),L(x \ 1,y,a(z,u,w)),a(z,u,L(w,y,x))) = L(x,y * x,a(z,u,w)).
L(L(x,y,a(z,u,w)),L(x \ 1,y,a(z,u,w)),a(z,u,L(w,y,x))) = L(x,y * x,a(z,u,w)).
L(x,y * x,a(z,u,w)) = L(L(x,L(x \ 1,y,a(z,u,w)),a(z,u,w)),y,a(z,u,w)).
L(L(x,L(x \ 1,y,a(z,u,w)),a(z,u,w)),y,a(z,u,w)) = L(x,y * x,a(z,u,w)).
L(L(x,x \ 1,a(y,z,u)),w,a(y,z,u)) = L(x,w * x,a(y,z,u)).
L(L(x,x * 1,a(y,z,u)),w,a(y,z,u)) = L(x,w * x,a(y,z,u)).
L(L(x,x,a(y,z,u)),w,a(y,z,u)) = L(x,w * x,a(y,z,u)).
L(x,y,a(z,u,w)) = L(x,y * x,a(z,u,w)).
L(x,y * x,a(z,u,w)) = L(x,y,a(z,u,w)).
L(x,y,a(z,u,w)) = L(x,x * y,a(z,u,w)).
L(x,x * y,a(z,u,w)) = L(x,y,a(z,u,w)).
L(x,y \ x,a(z,u,w)) = L(x,y,a(w,u,z)).
a(x \ L(x,y,z),u \ w,u) \ w = L(w,u,a(z,y,x)).
a(x,y,a(z,u \ w,u)) \ w = L(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) \ u = L(u,w,a(z,y,x)).
a(x,y,a(z,u,w)) \ y = L(y,x,a(z,u,w)).
L(L(x,y,a(z,u,w)),y,a(z,u,w)) = L(x,a(z,u,w),y).
L(x,a(y,z,u),w) = L(x,w,a(y * y,z,u)).
L(x,y,a(z * z,u,w)) = L(x,a(z,u,w),y).
x * L(x,a(y,z,u),w) = L(x * x,w,a(y,z,u)).
L(x * x,y,a(z,u,w)) = x * L(x,a(z,u,w),y).
L(x,a(y,z,u),w) = x * a(y,w,a(u,z,x * x)).
x * a(y,z,a(u,w,x * x)) = L(x,a(y,w,u),z).
((x * x) * y) \ (L(x * x,z,a(u,w,v5)) * y) = a(x,a(u,w,v5),z).
a(x,a(y,z,u),w) = a(a(y,z,u) \ 1,w,x * x).
a(a(x,y,z) \ 1,u,w * w) = a(w,a(x,y,z),u).
a(a(x \ 1,y,z),u,w * w) = a(w,a(x,y,z),u).
a(x,a(y,z,u),w) = a(y \ 1,z,a(u,w,x * x)).
a(x \ 1,y,a(z,u,w * w)) = a(w,a(x,y,z),u).
a(x,a(y,z,u),w) = a(u,w,a(x * x,z,y)).
a(x,y,a(z * z,u,w)) = a(z,a(w,u,x),y).
a(x,a(y,z,u),w) = a(z,w,a(x,y,u * u)).
a(x,y,a(z,u,w * w)) = a(z,a(u,x,w),y).
x * a(y,a(z,u,x),w) = L(x,a(u,z,y),w).
L(L(x,a(y,z,u),w),u,a(w,y,z)) = L(x,w,a(u,y,z)).
L(L(x,y,a(z,u,w)),w,a(u,z,y)) = L(x,u,a(w,z,y)).
L(x,y,a(z,u,w)) = x.

end_of_list.
