% *****************************************************************
% AIM:  middle Bol + Commutativity => nilpotency class 3
%
% It suffices to prove nil3 24.
% *****************************************************************

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

clear(back_demod).
set(restrict_denials).

set(para_from_small).

clear(cac_redundancy).

assign(max_weight,5).

formulas(assumptions).

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

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

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

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

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

   % extra assumption for this case
   x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol").
   x * y = y * x # label("Commutativity").

end_of_list.

formulas(goals).

   a(a(a(x,y,z),u,w),v5,v6) = 1 # label("nil3 24, aa1-Nl").

end_of_list.

% *********************
% AIM: Auxiliary Lemmas
% *********************

formulas(assumptions).

   % cancellation laws (long form)

   x * y != u | x * z != u | y = z # label("*-Cancellation 1").
   y * x != u | z * x != u | y = z # label("*-Cancellation 2").

   x / y != u | x / z != u | y = z # label("/-Cancellation 1").
   y / x != u | z / x != u | y = z # label("/-Cancellation 2").

   x \ y != u | x \ z != u | y = z # label("\-Cancellation 1").
   y \ x != u | z \ x != u | y = z # label("\-Cancellation 2").

   T(x,y) != u | T(z,y) != u | x = z # label("T-Cancellation 1").
   L(z,x,y) != u | L(w,x,y) != u | z = w # label("L-Cancellation 1").
   R(z,x,y) != u | R(w,x,y) != u | z = w # label("R-Cancellation 1").

   % cancellation laws (short form)

   x * y != x * z | y = z # label("*-Cancellation 3").
   y * x != z * x | y = z # label("*-Cancellation 4").

   x / y != x / z | y = z # label("/-Cancellation 3").
   y / x != z / x | y = z # label("/-Cancellation 4").

   x \ y != x \ z | y = z # label("\-Cancellation 3").
   y \ x != z \ x | y = z # label("\-Cancellation 4").

   T(x,y) != T(z,y) | x = z # label("T-Cancellation 2").
   L(z,x,y) != L(w,x,y) | z = w # label("L-Cancellation 2").
   R(z,x,y) != R(w,x,y) | z = w # label("R-Cancellation 2").

   % compatibility

   a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1").
   L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2").
   T(x,y) != x | T(y,x) = y # label("Compat 3").
   T(x,y) != x | K(x,y) = 1 # label("Compat 4").
   K(x,y) != 1 | T(x,y) = x # label("Compat 5").

   % sometimes helpful for demodulation-free proofs

   x != y | x * z = y * z # label("Aux 1").
   x != y | z * x = z * y # label("Aux 2").
   x != y | x / z = y / z # label("Aux 3").
   x != y | z / x = z / y # label("Aux 4").
   x != y | x \ z = y \ z # label("Aux 5").
   x != y | z \ x = z \ y # label("Aux 6").

   x != y | y != z | x = z # label("Transitivity =").

end_of_list.

%
% Hints extracted from previously found proofs.
%

formulas(hints).

a(a(a(x,y,z),u,w),v5,v6) = 1.
1 * x = x.
x * 1 = x.
x \ (x * y) = y.
x * (x \ y) = y.
(x * y) / y = x.
(x / y) * y = x.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
a(x,y,z) = (x * (y * z)) \ ((x * y) * z).
(x * y) \ (y * x) = K(y,x).
K(x,y) = (y * x) \ (x * y).
(x * y) \ (x * (y * z)) = L(z,y,x).
L(x,y,z) = (z * y) \ (z * (y * x)).
x \ (y * x) = T(y,x).
T(x,y) = y \ (x * 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).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
x * ((y * z) \ x) = (x / z) * (y \ x).
(x / y) * (z \ x) = x * ((z * y) \ x).
x * y = y * x.
x * y != z | x * u != z | y = u.
x * y != z | u * y != z | x = u.
x / y != z | x / u != z | y = u.
x \ y != z | x \ u != z | y = u.
x \ y != z | u \ y != z | x = u.
T(x,y) != z | T(u,y) != z | x = u.
L(x,y,z) != u | L(w,y,z) != u | x = w.
x * y != x * z | y = z.
x * y != z * y | x = z.
x / y != z / y | x = z.
x \ y != x \ z | y = z.
x \ y != z \ y | x = z.
T(x,y) != T(z,y) | x = z.
L(x,y,z) != L(u,y,z) | x = u.
a(x,y,z) != 1 | L(z,y,x) = z.
L(x,y,z) != x | a(z,y,x) = 1.
T(x,y) != x | K(x,y) = 1.
x != y | z * x = z * y.
x != y | x \ z = y \ z.
x != y | z \ x = z \ y.
x != y | y != z | x = z.
a(a(a(c1,c2,c3),c4,c5),c6,c7) != 1.
1 \ x = x.
x \ x = 1.
(x * (x \ 1)) * y = y.
x * (y * (y \ 1)) = x.
x / 1 = x.
x / (y \ x) = y.
(x / y) \ x = y.
a(x,y,y \ z) = (x * z) \ ((x * y) * (y \ z)).
(x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y).
(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(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 * x) = y.
(x \ y) * x = y.
a(x,y,z) = (x * (y * z)) \ (z * (x * y)).
L(x,y,z) = (y * z) \ (z * (y * x)).
L(x,y,z) = (z * y) \ (z * (x * y)).
x != y | x * z != y | 1 = z.
x != y | z * u != y | z \ x = u.
x * y != z | y * u != z | x = u.
x != y | z \ u != y | z * x = u.
x != 1 * y | x = y.
1 * x != y | y = x.
1 * x != y | x = y.
x != y * z | y \ x = z.
x * y != z | x \ z = y.
x * y != y * z | x = z.
x * y != z * x | z = y.
x != y * 1 | x = y.
x * 1 != y | y = x.
x * 1 != y | x = y.
x != y \ z | y * x = z.
x \ y != z | x * z = y.
a(x,y,z) != u \ ((x * y) * z) | x * (y * z) = u.
x \ ((y * z) * u) != a(y,z,u) | y * (z * u) = x.
L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5.
x * (y * z) = x * (z * y).
x * L(L(y,z,u),w,v5) = x * L(L(y,w,v5),z,u).
x * (y * (y \ z)) = x * z.
(x * y) \ z = (y * x) \ z.
x \ (y * z) = x \ (z * y).
x * y != z | y * x = z.
x * y = 1 * (y * x).
1 * (x * y) = y * x.
x != y | z * (z \ x) = y.
x * (x \ y) = y * 1.
x * (y \ y) = x.
x != y / 1 | x = y.
x / 1 != y | y = x.
x * (y \ z) = z * ((y * (x \ z)) \ z).
x * ((y * (z \ x)) \ x) = z * (y \ x).
x != y | (z / x) \ z = y.
(x / y) \ x = y / 1.
x != y \ z | z / x = y.
x \ y != z | y / z = x.
x \ (y * x) != z | T(y,x) = z.
T(x,y) = x.
(x * y) \ z != L(u,y,x) | x * (y * u) = z.
x * (y * z) = L(z,y,x) * (x * y).
L(x,y,z) * (z * y) = z * (y * x).
(x \ y) \ y = x.
x \ y = y / x.
x / y = y \ x.
x != y | z \ u != y | x * z = u.
x != y \ z | x * y = z.
x \ y != z | z * x = y.
x != y | T(x,z) = y.
T(x * y,z) = y * x.
T(x,y) = z \ (x * z).
T(x,y) = x * 1.
K(x,y) = 1.
x != y | T(z,u) != y | x = z.
T(x,y) != z | x = z.
K(x,y) != z | (y * x) \ (x * y) = z.
(x * y) \ (y * x) = 1.
K(x,y) * z = z.
x * K(y,z) = x.
x != y | 1 \ x = y.
1 \ ((x \ y) * x) = y.
L(x,x \ y,z) = (z * (x \ y)) \ (z * y).
x != y | z * u != y | u \ x = z.
x != (y \ x) * z | y = z.
(x \ y) * z != y | x = z.
x != y * z | z \ x = y.
x * y != z | y \ z = x.
x \ (y * (z * u)) != L(u,z,y) | y * z = x.
x * y = L(z,y,x) \ (x * (y * z)).
L(x,y,z) \ (z * (y * x)) = z * y.
x != y | z \ u != y | x \ u = z.
x != y \ z | x \ z = y.
x \ y != z | z \ y = x.
T(x / y,z) = y \ x.
x \ y != z | y / x = z.
x / y = 1 * (y \ x).
1 * (x \ y) = y / x.
(x \ y) * (z \ y) = y * ((z * x) \ y).
x \ y != z | y / u != z | x = u.
x != y | K(z,u) * x = y.
K(x,y) * (z \ u) = u / z.
K(x,y) * z = T(z,u).
T(x,y) = K(z,u) * x.
(x * (x \ 1)) * y != z | z = y.
x * y != z | z = y * x.
x * (x \ y) != z | z = y.
x * (x \ y) != z | y = z.
(x / y) \ x != z | z = y.
x \ (y * x) != z | y = z.
x / y != z | z = y \ x.
x / y != z | y \ x = z.
x != y | z = (z \ y) \ x.
x != y | (z \ y) \ x = z.
(x \ y) * x != z | y = z.
x \ (x * y) != z | z = y.
(x \ y) \ y != z | x = z.
(x \ (y * z)) \ (z * y) = x.
(x * y) * z = z * (y * x).
x \ (y * (z * u)) = x \ (y * (u * z)).
(x * y) * z != u * (y * x) | u = z.
x * (y * z) != u | (z * y) * x = u.
x * y != z | x * (u * (u \ y)) = z.
x * (y * (y \ z)) = z * x.
x * (y * (y \ z)) != u | z * x = u.
x / (y * z) = (z * y) \ x.
x \ (y \ (z * u)) = x \ (y \ (u * z)).
x \ (y * z) != u | u \ (z * y) = x.
x != y | z != y | x = z.
x * (y * z) = a(x,y,z) \ (z * (x * y)).
a(x,y,z) \ (z * (x * y)) = x * (y * z).
x * y != z * u | x \ (u * z) = y.
x \ (y * z) != u | x \ (z * y) = u.
a(x,y,z) = (x * (y * z)) \ (z * (y * x)).
(x * K(y,z)) * u = u * x.
x * y = y * (K(z,u) * x).
x * (K(y,z) * u) = u * x.
x * (y * z) != u | x * (z * y) = u.
(x * y) \ z != u | (y * x) \ z = u.
x != y * z | (z * K(u,w)) * y = x.
(x * K(y,z)) * u = x * (K(w,v5) * u).
x \ y != L(L(z,u,w),v5,v6) | x * L(L(z,v5,v6),u,w) = y.
x * L(L(y,z,u),w,v5) = L(L(y,w,v5),z,u) * x.
L(L(x,y,z),u,w) * v5 = v5 * L(L(x,u,w),y,z).
(x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)).
x \ y != (z * u) \ (z * (u * w)) | x * L(w,u,z) = y.
(x * y) * L(z,x,y) = y * (x * z).
x \ y != (z * u) \ (z * (u * w)) | L(w,u,z) * x = y.
L(x,y,z) * (y * z) = z * (y * x).
x \ y != (z * (u * w)) \ ((z * u) * w) | a(z,u,w) * x = y.
a(x,y,z) * (x * (y * z)) = z * (x * y).
x \ y != z | (u * (u \ z)) \ y = x.
(x * (x \ y)) \ (z * u) = y \ (u * z).
x * ((x \ 1) * y) = L(y,x \ 1,x).
x * y != z * (u * (u \ w)) | y \ (w * z) = x.
L(x \ y,x,z) \ (y * z) = z * x.
x = L(x,y,x).
L(x,y,x) = x.
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).
x * (y * z) != (x * y) * u | L(z,y,x) = u.
(x * y) * z != x * (y * u) | L(u,y,x) = z.
x * L(y,z,z \ x) = (z \ x) * (z * y).
(x * y) \ (x * (y * z)) != u | u = L(z,y,x).
(x * y) \ (x * (y * z)) != u | L(z,y,x) = u.
x * ((x \ 1) * y) != z | z = L(y,x \ 1,x).
x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z.
L(x,y,z) != L(L(u,y,z),w,v5) | L(u,w,v5) = x.
L(x,y,L(x,z,u)) = x.
L(T(x,y),z,x) = T(x,y).
L(x,y,z) = L(L(x,y,z),u,x).
L(L(x,y,z),u,x) = L(x,y,z).
L(x,y,L(L(x,z,u),w,v5)) = x.
x != T(y,z) | y = x.
x = L(T(x,y),z,x).
L(T(x,y),z,x) = x.
x \ y != L(L(z,u,w),v5,z) | L(z,u,w) * x = y.
L(x,y,z) * (x * u) = x * (u * L(x,y,z)).
x != (y * z) \ u | (z * y) \ u = x.
(x * y) \ (y * z) = L(x \ z,x,y).
L(x \ y,x,z) = (x * z) \ (z * y).
L((x \ y) \ z,x \ y,x) = y \ (x * z).
L(x \ (y \ z),x,y) = (y * x) \ z.
x != y \ (z * u) | y \ (u * z) = x.
(x * y) \ ((x * z) * y) = L(z,x,y).
L(x,y,z) = (y * z) \ ((y * x) * z).
(x * y) * L(L(z,x,y),u,w) = y * (x * L(z,u,w)).
L(x,y,z) = (y * z) \ (z * (x * y)).
L(x \ 1,x,y) = (x * y) \ y.
(x * y) * L(z,x,y) != u | u = y * (x * z).
(x * y) * L(z,x,y) != u | y * (x * z) = u.
L(x \ y,x,z) = (x * z) \ (y * z).
L(L(x,y,z),y * z,u) = (u * (y * z)) \ (u * (z * (y * x))).
(x * (y * z)) \ (x * (z * (y * u))) = L(L(u,y,z),y * z,x).
x \ y != (z * u) \ u | L(z \ 1,z,u) \ y = x.
L(x \ 1,x,y) \ y = x * y.
L(x \ 1,x,x \ y) = y \ (x \ y).
x * y != z * u | y \ (L(z \ 1,z,u) \ u) = x.
x \ (L(y \ 1,y,x) \ x) = y.
x \ y != (z * u) \ (z * (w * u)) | L(w,u,z) \ y = x.
L(x,y,z) \ (z * (x * y)) = y * z.
x \ y != (z * u) \ (z * (w * u)) | x * L(w,u,z) = y.
(x * y) * L(z,x,y) = y * (z * x).
L(x,x \ 1,y) = (y * (x \ 1)) \ y.
L(x,x \ y,z) = (z * (x \ y)) \ (y * z).
L(x,x \ y,z) \ (z * y) = z * (x \ y).
L(x * y,L(z,y,x),u) \ (u * (x * (y * z))) = u * L(z,y,x).
(x * y) * z != y * (x * u) | L(u,x,y) = z.
(x * (x \ y)) * z != u | y * z = u.
x * y != z | x \ (u * (u \ z)) = y.
x * y != z * (u * (u \ w)) | x \ (w * z) = y.
x * (y * (y \ z)) != u * w | u \ (z * x) = w.
x \ (y * (z * u)) != w | x \ (y * (u * z)) = w.
(x \ 1) * (x * y) = L(y,x,x \ 1).
L(x \ y,x,z) \ (y * z) = x * z.
x * y != (z * (z \ 1)) * u | x \ u = y.
(x \ 1) \ L(y,x,x \ 1) = x * y.
(x * y) \ (y * (x * z)) != u | u = L(z,x,y).
(x * y) \ (y * (x * z)) != u | L(z,x,y) = u.
x * (y * (x \ 1)) = L(y,x \ 1,x).
x * y != L(L(z,u,w),v5,z) | x \ L(z,u,w) = y.
x \ L(x,y,z) = (x \ 1) * L(x,y,z).
(x \ 1) * L(x,y,z) = x \ L(x,y,z).
x \ y != (z \ u) * z | u \ y = x.
x \ (y * (z \ x)) = L(z \ y,z,z \ x).
L(x \ y,x,x \ z) = z \ (y * (x \ z)).
(x * y) / (y * z) = L(z \ x,z,y).
L(x \ y,x,z) = (y * z) / (z * x).
L(x,x \ y,z) \ (y * z) = z * (x \ y).
L(x \ (y \ z),x,y) = (x * y) \ z.
L(x \ y,x,y \ z) = (x * (y \ z)) \ z.
(x * y) \ z != L(u,y,x) | y \ (x \ z) = u.
L(x,y,z) != (z * y) \ u | y \ (z \ u) = x.
L(x,y,y \ z) = z \ ((y * x) * (y \ z)).
x \ ((y * z) * (y \ x)) = L(z,y,y \ x).
L(x,x \ y,z) = ((x \ y) * z) \ (y * z).
x \ y != (z \ u) * z | u * x = y.
x * L(y,z \ x,z) = z * (y * (z \ x)).
(x * y) \ (y * (z * x)) != u | L(z,x,y) = u.
(x \ 1) \ L(y,x,x \ 1) = y * x.
L(x \ L(y,z,u),x,z * u) = (x * (z * u)) \ (u * (y * z)).
x \ y != L(L(z,u,w),v5,z) | L(z,u,w) \ y = x.
L(x,y,z) \ x = x * (L(x,y,z) \ 1).
x * (L(x,y,z) \ 1) = L(x,y,z) \ x.
x * (y \ 1) = L(y \ x,y,y \ 1).
L(x \ y,x,x \ 1) = y * (x \ 1).
(x * y) * (y \ 1) = L(x,y,y \ 1).
x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y.
(x \ 1) \ L(L(y,x,x \ 1),z,u) = x * L(y,z,u).
L(x \ y,x,y \ z) \ z = x * (y \ z).
x * y != (x \ 1) \ z | L(y,x,x \ 1) = z.
(x \ 1) \ y != x * z | L(z,x,x \ 1) = y.
x \ y != (z * u) * (u \ 1) | L(z,u,u \ 1) \ y = x.
L(x,y,y \ 1) \ ((y \ 1) * (z * (x * y))) = L(z,x * y,y \ 1).
x \ (y * (z \ x)) = (z * (y \ x)) \ x.
(x * (y \ z)) \ z = z \ (y * (x \ z)).
(x * (y \ 1)) \ 1 = y * (x \ 1).
x * y != z * (u \ u) | x \ z = y.
x \ y = (x * (y \ x)) \ x.
(x * (y \ x)) \ x = x \ y.
x / y != x \ z | x * (z \ x) = y.
x * (y \ x) = (x \ y) \ x.
(x \ y) \ x = x * (y \ x).
x \ y != (z \ u) \ u | z \ y = x.
x \ (x \ y) = (x \ y) * (y \ (x \ y)).
(x \ y) * (y \ (x \ y)) = x \ (x \ y).
x \ y != z \ x | x * (y \ x) = z.
(x * y) \ x = x \ (y \ x).
x \ y != z * ((u * (w \ z)) \ z) | (w * (u \ z)) * x = y.
(x * (y \ z)) * (z \ (y * (x \ z))) = z.
(x * y) \ y = y \ (x \ y).
x \ y != z \ (L(u \ 1,u,z) \ z) | u \ y = x.
x \ y = y * L(x \ 1,x,y).
x * L(y \ 1,y,x) = y \ x.
(x * (y \ 1)) \ x != z | L(y,y \ 1,x) = z.
L(x,x \ 1,y) = y \ ((x \ 1) \ y).
x \ (y \ x) = (y \ x) \ (y \ (y \ x)).
(x \ y) \ (x \ (x \ y)) = y \ (x \ y).
(x * y) \ y != z | L(x \ 1,x,y) = z.
L(x \ 1,x,y) = y \ (x \ y).
x * y != (z \ u) \ u | x \ z = y.
x \ y = L((y \ x) \ 1,y \ x,x).
L((x \ y) \ 1,x \ y,y) = y \ x.
(x \ 1) * (x \ 1) = x \ (x \ 1).
L(L(x \ 1,x,y),y,z) = (y * z) \ (z * (x \ y)).
x \ y != z \ (u \ z) | L(u \ 1,u,z) \ y = x.
L(x \ 1,x,y) \ z = (y \ (x \ y)) \ z.
L(x \ 1,x,y) \ (z * (y \ (x \ y))) = z.
x \ y != z \ (u \ z) | x * L(u \ 1,u,z) = y.
x * L(y \ 1,y,z) = x * (z \ (y \ z)).
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 \ 1) * y) \ 1 = x * (y \ 1).
(x * y) \ 1 = (y \ 1) * (x \ 1).
(x \ 1) * (y \ 1) = (y * x) \ 1.
x \ y != (z \ 1) * (z \ 1) | (z \ (z \ 1)) \ y = x.
(x \ (x \ 1)) \ (y * (x \ 1)) = L((x \ 1) \ y,x \ 1,x \ 1).
L((x \ 1) \ y,x \ 1,x \ 1) = (x \ (x \ 1)) \ (y * (x \ 1)).
(x * y) \ 1 = (x \ 1) * (y \ 1).
(x \ 1) * (y \ 1) = (x * y) \ 1.
(x \ 1) * (x \ 1) != y | x \ (x \ 1) = y.
x \ (x \ 1) = (x * x) \ 1.
(x * x) \ 1 = x \ (x \ 1).
(x \ y) * (z \ y) = y * ((x * z) \ y).
(x \ y) \ (y * ((x * z) \ y)) = z \ y.
x * y != z * ((u * w) \ z) | y \ ((w \ z) * (u \ z)) = x.
x \ ((y \ x) * (z \ x)) = (z * y) \ x.
x \ ((y \ x) * (z \ x)) = (y * z) \ x.
(x \ (y \ x)) * (z \ x) = x * ((z * (x * y)) \ x).
(x * ((y * y) \ x)) \ 1 = (y \ x) \ ((y \ x) \ 1).
L(x,K(y,z),u) = x.
a(x,K(y,z),u) = 1.
L(x,y,y \ z) = z \ ((x * y) * (y \ z)).
x \ ((y * z) * (z \ x)) = L(y,z,z \ x).
x \ y != (z * u) \ (u * (w * z)) | x * L(w,z,u) = y.
x * L(y,z,z \ x) = (y * z) * (z \ x).
L(x,y,z) \ (x \ L(x,y,z)) = x \ 1.
(x * (y \ z)) \ (u * (u \ z)) = z \ (y * (x \ z)).
(x \ y) * (y \ (z \ y)) = y * ((x * (y * z)) \ y).
(x \ y) * (y \ (z \ y)) = y * ((x * (z * y)) \ y).
(x \ y) \ (y * (z \ y)) = (x \ z) \ y.
(x * y) \ (y * (z \ (x * y))) = (x * z) \ (x * y).
x \ 1 != L(x,y,z) \ u | x \ L(x,y,z) = u.
L(x,y,z) \ u != x \ 1 | x \ L(x,y,z) = u.
(x \ 1) \ (y \ 1) = (x \ y) \ 1.
(x \ y) \ (y * y) = (x \ 1) \ y.
x \ (y * (z \ y)) = ((x \ y) \ z) \ y.
((x \ y) \ z) \ y = x \ (y * (z \ y)).
(x \ y) \ (y * z) = (x \ (z \ y)) \ y.
(x \ (y \ z)) \ z = (x \ z) \ (z * y).
L(x \ 1,x,y) \ (y * (z \ y)) = ((x * y) \ z) \ y.
(x \ y) \ (z * (u \ y)) = (x \ (u * (z \ y))) \ y.
(x \ (y * (z \ u))) \ u = (x \ u) \ (z * (y \ u)).
(x \ (y \ z)) \ (y \ (y \ z)) = (x \ z) \ (y \ z).
x \ (y \ 1) = ((x \ 1) \ y) \ 1.
((x \ 1) \ y) \ 1 = x \ (y \ 1).
(x \ 1) \ y = (x \ (y \ 1)) \ 1.
(x \ (y \ 1)) \ 1 = (x \ 1) \ y.
(x * (y \ 1)) \ (z \ 1) = ((y * (x \ 1)) \ z) \ 1.
((x * (y \ 1)) \ z) \ 1 = (y * (x \ 1)) \ (z \ 1).
x \ y != z \ (u * z) | u * x = y.
x * (y \ (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).
x \ (y * y) = ((x \ y) \ 1) \ y.
((x \ y) \ 1) \ y = x \ (y * y).
(x * (y \ x)) \ (x * x) = ((x \ y) \ 1) \ x.
((x \ (y \ 1)) \ z) \ 1 = ((x \ 1) \ y) \ (z \ 1).
x \ y != z \ ((u \ z) * (w \ z)) | ((u * w) \ z) \ y = x.
((x * x) \ y) \ (x \ y) = (y \ (x \ y)) \ 1.
x \ y != ((z \ u) \ 1) \ u | (z \ (u * u)) \ y = x.
(x \ (y * y)) \ 1 = (x \ y) \ (y \ 1).
(x \ (y \ 1)) \ y = (x \ 1) \ (y * y).
(x \ y) \ (z * y) = (x \ (z \ y)) \ y.
(x \ (y \ z)) \ z = (x \ z) \ (y * z).
x / y != (z \ x) \ (x * u) | z \ (u \ x) = y.
x \ (y \ z) = ((x \ z) \ (z * y)) \ z.
((x \ y) \ (y * z)) \ y = x \ (z \ y).
x \ y != z \ (u * w) | (z \ (w * u)) \ y = x.
((x \ y) \ (z * y)) \ y = x \ (z \ y).
(x \ (y \ (z \ y))) \ y = (x \ y) \ (y * (y * z)).
(x \ 1) \ ((y \ z) \ (z \ 1)) = (x \ (y \ (z * z))) \ 1.
(x \ y) \ (z * y) = (x \ (z * y)) \ (z * (z * y)).
(x \ (y * z)) \ (y * (y * z)) = (x \ z) \ (y * z).
(x \ (y * z)) \ y = (x \ y) \ (z \ y).
(x \ (y * z)) \ z = (x \ z) \ (y \ z).
x \ y != (z \ u) \ (w \ u) | x * ((z \ (u * w)) \ u) = y.
(x \ y) * ((x \ (y * z)) \ y) = z \ y.
(x \ ((y \ 1) * (z \ 1))) \ (y \ 1) = (x \ (y \ 1)) \ ((z \ y) \ 1).
(x \ y) \ (y * ((z \ y) \ (u \ y))) = (x \ (z \ (u * y))) \ y.
((x \ (y * z)) \ (u \ (y * z))) \ y = ((x \ (u * (y * z))) \ y) \ (z \ y).
x \ y != L(L(z,u,w),v5,z) | x * L(z,u,w) = y.
x * L(y,z,u) = y * ((y \ x) * L(y,z,u)).
x * ((x \ y) * L(x,z,u)) = y * L(x,z,u).
x \ (y * (x * ((y * z) \ x))) = L(z \ x,y \ x,y).
a(x,x \ y,z) = (x * ((x \ y) * z)) \ (z * y).
(x * ((x \ y) * z)) \ (z * y) = a(x,x \ y,z).
a(x,y,z) = (x * (z * y)) \ (z * (x * y)).
a(x \ y,x,z) = ((x \ y) * (x * z)) \ (z * y).
((x \ y) * (x * z)) \ (z * y) = a(x \ y,x,z).
L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u).
(x * (y * z)) \ (z * (x * y)) != u | a(x,y,z) = u.
a((x * y) \ z,x,y) = z \ (y * (x * ((x * y) \ z))).
x \ (y * (z * ((z * y) \ x))) = a((z * y) \ x,z,y).
x \ y != a(z,u,w) * (z * (u * w)) | (w * (z * u)) \ y = x.
(x * (y * z)) \ (u * (y * (z * x))) = L(a(y,z,x) \ u,a(y,z,x),y * (z * x)).
L(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = (z * (x * y)) \ (u * (x * (y * z))).
x * L(L(y,z,z \ x),u,w) = (z \ x) * (z * L(y,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).
x \ y != L(L(z,u,w),v5,v6) | L(L(z,v5,v6),u,w) \ y = x.
L(L(x,L(x,y,z) \ u,w),y,z) \ (u * w) = w * (L(x,y,z) \ u).
L(x,y,z) \ (u * x) = x * (L(x,y,z) \ u).
x \ y != L(z,u,L(z,w,v5)) | z * x = y.
x * (L(x,y,z) * (x \ u)) = u * L(x,y,z).
x != y \ ((z \ y) * (u \ y)) | (z * u) \ y = x.
(x * y) \ z = L(y \ (x \ z),y,y \ z).
L(x \ (y \ z),x,x \ z) = (y * x) \ z.
x != (y * (z \ 1)) \ 1 | z * (y \ 1) = x.
x * (y \ 1) = L(y \ x,y,x \ 1).
L(x \ y,x,y \ 1) = y * (x \ 1).
x \ y != (z * (u \ w)) \ w | x * L(z \ u,z,u \ w) = y.
x * L(y \ z,y,z \ x) = z * (y \ x).
x \ (L(y \ z,y,z \ x) * (u \ x)) = (u * (y * (z \ x))) \ x.
x \ (y * (z \ x)) != u | (z * (y \ x)) \ x = u.
(x * ((x * y) \ z)) \ z = L(y,x,x \ z).
x \ y != L(z,u,L(z,w,v5)) | z \ y = x.
x \ (y * L(x,z,u)) = (x \ y) * L(x,z,u).
L(x \ 1,x,y) \ z != u | u * (y \ (x \ y)) = z.
x * L(y \ 1,y,z) != u | x * (z \ (y \ z)) = u.
L(x \ 1,x,y) != z | z = y \ (x \ y).
L(x \ 1,x,y) != z | y \ (x \ y) = z.
x \ y != z \ ((u * w) * (w \ z)) | L(u,w,w \ z) \ y = x.
L(x,y,y \ z) \ z = y * ((x * y) \ z).
x \ ((y * z) * (z \ x)) != u | u = L(y,z,z \ x).
x \ ((y * z) * (z \ x)) != u | L(y,z,z \ x) = u.
a(x,x \ 1,y) = (x * (y * (x \ 1))) \ y.
(x * (y * (x \ 1))) \ y = a(x,x \ 1,y).
L(x \ (y \ (x * z)),x,z) = (y * x) \ (x * z).
x * L(y,y \ z,z \ x) = z * ((y \ z) \ x).
L(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)).
L(x,y \ 1,y) \ x = a(y,y \ 1,x).
x / y != a(z,z \ 1,x) | L(x,z \ 1,z) = y.
L(x,y \ 1,y) = a(y,y \ 1,x) \ x.
a(x,x \ 1,y) \ y = L(y,x \ 1,x).
a(L(x,y,z),x,u) = (x * (u * L(x,y,z))) \ (u * (x * L(x,y,z))).
(x * (y * L(x,z,u))) \ (y * (x * L(x,z,u))) = a(L(x,z,u),x,y).
(x * y) \ (y * z) != u | L(x \ z,x,y) = u.
(x * (y \ z)) \ (z * x) != u | L(y,y \ z,x) = u.
L(x,x \ y,y) = ((y \ x) \ 1) \ y.
x \ y != (z * (u \ w)) \ (w * z) | L(u,u \ w,z) \ y = x.
L(x,x \ y,y) \ y = (y \ x) \ 1.
x \ y != (z * (u \ w)) \ (w * z) | L(u,u \ w,z) * x = y.
L(x,x \ y,y) * ((y \ x) \ 1) = y.
x \ L(x,y,z) = (L(x,y,z) \ x) \ 1.
(L(x,y,z) \ x) \ 1 = x \ L(x,y,z).
L(x \ y,x,y) \ y = (y \ (x \ y)) \ 1.
(x \ y) \ 1 != z | (x \ 1) \ (y \ 1) = z.
(L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z).
x * y != z * L(u \ w,u,w \ z) | x \ (w * (u \ z)) = y.
(x \ y) \ (y * (x \ z)) = ((x \ y) \ z) * L(x \ y,x,y \ z).
((x \ y) \ z) * L(x \ y,x,y \ z) = (x \ y) \ (y * (x \ z)).
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,u) \ y = (x \ y) * (L(x \ y,z,u) \ x).
(x \ y) * (L(x \ y,z,u) \ x) = L(x \ y,z,u) \ y.
x * y != (z \ u) * z | x \ u = y.
x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)).
L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u.
x \ (L(x,y,z) \ u) = L(x,y,z) \ (x \ u).
L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u).
L(x,y,y \ ((x * z) * (z \ y))) \ ((x * z) * (z \ y)) = y * a(x,z,z \ y).
x != L(y \ z,y,u) | (y * u) \ (u * z) = x.
(x * y) \ (y * (z \ x)) = L(L(z \ 1,x,y),z,x).
L(L(x \ 1,y,z),x,y) = (y * z) \ (z * (x \ y)).
x \ y != L(L(z \ 1,u,w),z,v5) | x * L(v5 \ (z \ v5),u,w) = y.
(x * y) * L(y \ (x \ y),z,u) = y * (x * L(x \ 1,z,u)).
L(L(x \ (y \ x),z,u),w,L(y \ 1,z,u)) = L(L(y \ 1,z,u),y,x).
(x * ((x \ y) * (y \ z))) \ z = a(x,x \ y,y \ z).
((x \ y) * (x * (y \ z))) \ z = a(x \ y,x,y \ z).
((x * y) * (y \ z)) \ (x * z) = a(y \ z,y,x).
L(x,y,y \ 1) \ (x * 1) = a(y \ 1,y,x).
L(x,y,y \ 1) \ x = a(y \ 1,y,x).
a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1).
x * y != L(x,z,u) \ (x * w) | L(x,z,u) \ w = y.
L(x,x,y) \ y = (x * x) \ (x * y).
x * ((y * x) \ (x * z)) != u \ (x * z) | L(y,x,z) = u.
x \ (y * z) != y * ((u * y) \ (y * z)) | L(u,y,z) = x.
L(x,y,z * x) \ (y * (z * x)) = y * L(z,x,y).
x != (y * z) \ (z * u) | L(y \ u,y,z) = x.
L(x \ y,x,x) = L(x,x,y) \ y.
x / y != (z * z) \ (z * x) | L(z,z,x) = y.
L(x,x,y) = ((x * x) \ (x * y)) \ y.
((x * x) \ (x * y)) \ y = L(x,x,y).
(x \ (y * z)) \ z != u | (x \ z) \ (y \ z) = u.
((x * x) \ y) \ (x \ y) = L(x,x,y).
x \ y != ((z * z) \ (z * u)) \ u | L(z,z,u) \ y = x.
L(x,x,y) \ (x \ y) = (x * x) \ y.
((x * x) \ y) \ (x \ y) != z | (y \ (x \ y)) \ 1 = z.
(x \ (y \ x)) \ 1 = L(y,y,x).
L(x,x,y) = (y \ (x \ y)) \ 1.
x != (y \ (z \ y)) \ 1 | L(z \ y,z,y) \ y = x.
L(x \ y,x,y) \ y = L(x,x,y).
x != (y \ (z \ y)) \ u | L(z \ 1,z,y) \ u = x.
L(x \ 1,x,y) \ 1 = L(x,x,y).
x \ y != (z \ (u \ z)) \ 1 | L(u,u,z) \ y = x.
L(x,x,y) \ y = L(x \ y,x,y).
L(x \ y,x,y) = L(x,x,y) \ y.
x \ y != (z \ (u \ z)) \ 1 | x * L(u,u,z) = y.
(x \ 1) * L(y,y,x) = (y \ x) \ 1.
x \ y != L(z,z,u) | x * ((u \ (z \ u)) \ 1) = y.
(x * y) * ((x \ (y \ x)) \ 1) = x * (y * y).
L(x \ y,x \ y,y) = (y \ x) \ 1.
L(x,x,y) = ((y * x) \ y) \ 1.
L(x,x,y) = ((x * y) \ y) \ 1.
x \ y != ((z * u) \ z) \ 1 | x * L(u,u,z) = y.
((x * y) \ 1) * L(y,y,x) = x \ 1.
L(x \ y,x \ y,x) = (y \ x) \ 1.
x \ y != ((z * u) \ u) \ 1 | L(z,z,u) \ y = x.
L(x,x,y) \ (y \ 1) = (x * y) \ 1.
L(x,y,z) \ (x \ u) != w | x \ (L(x,y,z) \ u) = w.
x \ (L(x,x,y) \ y) = (x * x) \ y.
((x * y) \ 1) * L(x,x,x * y) = y \ 1.
((x * y) \ 1) * L(y,y,x) != z \ 1 | x = z.
x \ 1 != ((y * z) \ 1) * L(z,z,y) | y = x.
(x \ 1) * L(y,y,y \ x) = (y \ x) \ 1.
x \ (L(x,y,z) \ 1) = (x * L(x,y,z)) \ 1.
(x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1).
x \ L(x \ y,x,x) = (x * x) \ y.
x \ L(x \ y,x,y) = (x * x) \ y.
x * ((x * x) \ y) = L(x \ y,x,x).
x \ y != z \ (u * z) | x * u = y.
x * y = L(x \ (y * (x * x)),x,x).
L(x \ (y * (x * x)),x,x) = x * y.
x \ L(y,x,x) = (x * x) \ (x * y).
(x * x) \ (x * y) = x \ L(y,x,x).
(x \ 1) * ((x \ (x \ 1)) \ y) = L((x \ 1) \ y,x \ 1,x \ 1).
L((x \ 1) \ y,x \ 1,x \ 1) = (x \ 1) * ((x \ (x \ 1)) \ y).
x \ y != (z * z) \ (z * u) | x * (L(z,z,u) \ u) = y.
x * (L(x,x,y) \ y) = L(y,x,x).
x \ y != (z * u) \ (u * w) | x * L(z \ w,z,u) = y.
x * L(x \ y,x,x) = L(y,x,x).
L(x,y,y) \ x = x \ (L(y,y,x) * (y \ x)).
x \ (L(y,y,x) * (y \ x)) = L(x,y,y) \ x.
x * L(x \ y,x,y) = L(y,x,x).
x * (x * y) = L(y * (x * x),x,x).
L(x * (y * y),y,y) = y * (y * x).
L((x * x) * y,x,x) = x * (x * y).
x != y * (z * (z \ u)) | y * u = x.
x * y = L((x * x) * (x \ y),x,x).
L((x * x) * (x \ y),x,x) = x * y.
L(x,y,y) != y * z | y \ (z * (y * y)) = x.
x \ (y * (x * x)) = (x * x) * (x \ y).
x * y != L(z,x,x) | (x * x) * (x \ y) = z.
L(x,y,y) != y * z | (y * y) * (y \ z) = x.
((x * y) \ 1) * L(x,x,x * y) != z \ 1 | y = z.
x \ 1 != ((y * z) \ 1) * L(y,y,y * z) | z = x.
(x \ 1) * y != (z \ x) \ 1 | L(z,z,x) = y.
L(x,x,y) = L(x,x,x \ y).
L(x,x,x \ y) = L(x,x,y).
(x \ 1) * L(y,y,y \ x) != z \ 1 | y \ x = z.
x \ 1 != (y \ 1) * L(z,z,z \ y) | z \ y = x.
L(x,y,y \ z) != u | z \ ((x * y) * (y \ z)) = u.
x \ ((y * y) * (y \ x)) = L(y,y,x).
x \ y != L(z,z,z \ u) | x * L(z,z,u) = y.
x * L(y,y,x) = (y * y) * (y \ x).
(x * x) * (x \ y) = y * L(x,x,y).
L(x * L(y,y,x),y,y) = y * x.
x * y != L(z,x,x) | L(x \ z,x,x) = y.
L(x \ (y * L(x,x,y)),x,x) = y.
L((x \ y) * L(x,x,y),x,x) = y.
x != L(y,z,z) | (z \ x) * L(z,z,x) = y.
L(x,y,y) != z | (y \ z) * L(y,y,z) = x.
x \ ((y \ x) * L(y,y,x)) = L(x,y,y) \ x.
a(x,y,L(L(z,u,w),v5,v6)) = (x * (y * L(L(z,v5,v6),u,w))) \ ((x * y) * L(L(z,u,w),v5,v6)).
(x * (y * L(L(z,u,w),v5,v6))) \ ((x * y) * L(L(z,v5,v6),u,w)) = a(x,y,L(L(z,v5,v6),u,w)).
a(x,y,L(L(z,u,w),v5,v6)) = (x * (y * L(L(z,u,w),v5,v6))) \ ((x * y) * L(L(z,v5,v6),u,w)).
(x * (y * L(L(z,u,w),v5,v6))) \ ((x * y) * L(L(z,v5,v6),u,w)) = a(x,y,L(L(z,u,w),v5,v6)).
x * L(L(y,z,u),w,v5) != v6 | x * L(L(y,w,v5),z,u) = v6.
((x * (y * z)) * (((x * y) * (x * y)) \ (x * (y * z)))) \ 1 = L(z,y,x) \ (((x * y) \ (x * (y * z))) \ 1).
((x \ y) * z) \ (u * (u \ y)) = y \ (x * (z \ y)).
x * y != (z \ u) * (u \ (z \ u)) | x \ (z \ (z \ u)) = y.
x \ (y \ (y \ x)) = (y * (x * y)) \ x.
(x * (y * x)) \ y = y \ (x \ (x \ y)).
((x * y) \ (x * z)) \ (y \ (x * z)) = ((x * z) \ (y \ (x * z))) \ (z \ (y \ (x * z))).
((x * y) \ (z \ (x * y))) \ (y \ (z \ (x * y))) = ((x * z) \ (x * y)) \ (z \ (x * y)).
x != (y \ 1) \ (z \ 1) | (y \ z) \ 1 = x.
(x \ y) \ 1 = (x \ (y \ 1)) \ (y \ (y \ 1)).
(x \ (y \ 1)) \ (y \ (y \ 1)) = (x \ y) \ 1.
x \ (y \ (y \ 1)) = ((x \ (y \ 1)) \ y) \ 1.
((x \ (y \ 1)) \ y) \ 1 = x \ (y \ (y \ 1)).
(x \ 1) * ((y * (z \ 1)) \ (u \ 1)) = (x * ((z * (y \ 1)) \ u)) \ 1.
((x \ (y \ 1)) \ y) \ 1 != z | x \ (y \ (y \ 1)) = z.
x \ (y \ (y \ 1)) = ((x \ 1) \ y) \ (y \ 1).
((x \ 1) \ y) \ (y \ 1) = x \ (y \ (y \ 1)).
(x * (y * z)) \ (y * (x * z)) != u | a(x,z,y) = u.
(x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u.
(x * (y * L(L(z,u,w),v5,v6))) \ ((x * y) * L(L(z,v5,v6),u,w)) != v7 | a(x,y,L(L(z,u,w),v5,v6)) = v7.
x \ (y \ (x * (x \ y))) = L(x \ 1,y,x).
x \ (y \ y) = L(x \ 1,y,x).
L(x \ 1,y,x) = x \ (y \ y).
L(x \ 1,y,x) = x \ 1.
x \ y != L(z \ 1,u,z) | (z \ 1) \ y = x.
(x \ 1) \ (y * x) = x * ((x \ 1) \ y).
(x \ 1) \ (x * y) = x * ((x \ 1) \ y).
L(x \ 1,y,z) = L(L(x \ 1,y,z),u,x).
L(L(x \ 1,y,z),u,x) = L(x \ 1,y,z).
L((x \ 1) \ y,x,x \ 1) = y * x.
x != y * z | z * y = x.
x * y = L((x \ 1) \ y,x,x \ 1).
L((x \ 1) \ y,x,x \ 1) = x * y.
L(x,y,y \ 1) = y * ((y \ 1) * x).
x * ((x \ 1) * y) = L(y,x,x \ 1).
L(x * y,z,u) = L(L((x \ 1) \ y,z,u),x,x \ 1).
L(L((x \ 1) \ y,z,u),x,x \ 1) = L(x * y,z,u).
L(x,y,y \ 1) = y * (x * (y \ 1)).
x * (y * (x \ 1)) = L(y,x,x \ 1).
L(x,y \ 1,y) = L(x,y,y \ 1).
x * y != L(z \ u,z,z \ 1) | x \ (u * (z \ 1)) = y.
x \ (y * (x \ 1)) = (x \ 1) * (x \ y).
x \ y != L(z,u \ 1,u) | L(z,u,u \ 1) \ y = x.
L(x,y,y \ 1) \ x = a(y,y \ 1,x).
(x \ 1) \ (x * y) != z | y \ ((x * y) * (x * y)) = z.
x \ ((y * x) * (y * x)) = y * ((y \ 1) \ x).
L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z.
a(x \ 1,x,y) = a(x,x \ 1,y).
x \ y != L(L(z \ 1,u,w),v5,z) | L(z \ 1,u,w) * x = y.
L(x \ 1,y,z) * (u * x) = x * (u * L(x \ 1,y,z)).
x \ y != L(L(z \ 1,u,w),v5,z) | x * L(z \ 1,u,w) = y.
x * L(x \ 1,y,z) = (L(x \ 1,y,z) \ 1) \ x.
(L(x \ 1,y,z) \ 1) \ x = x * L(x \ 1,y,z).
L(L(x \ 1,y,z),u,w) = L(L(L(x \ 1,y,z),u,w),v5,x).
L(L(L(x \ 1,y,z),u,w),v5,x) = L(L(x \ 1,y,z),u,w).
(x * (y * z)) \ (y * (z * x)) != u | a(x,z,y) = u.
L(x,x,y) \ x = x * L(x \ 1,x,y).
x * L(x \ 1,x,y) = L(x,x,y) \ x.
x * (y \ (x \ y)) = L(x,x,y) \ x.
L(x,x,y) \ x = x * (y \ (x \ y)).
x * (y * L(z,x,y)) = y * (x * L(z,y,x)).
(x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)).
(x * (y \ x)) * L(x \ y,z,u) = x * ((y \ x) * L((y \ x) \ 1,z,u)).
x * ((y \ x) * L((y \ x) \ 1,z,u)) = (x * (y \ x)) * L(x \ y,z,u).
(x * y) * L((x * y) \ (y * z),u,w) = y * (x * L(x \ z,u,w)).
(x \ 1) \ L(y * (x \ 1),z,u) = x * L(x \ y,z,u).
(x \ 1) \ (x * (y \ x)) = ((x * x) \ y) \ x.
(x \ 1) \ (x * y) != z | x * ((x \ 1) \ y) = z.
x * ((x \ 1) \ (y \ x)) = ((x * x) \ y) \ x.
x \ y != L(z \ u,z \ u,z) | x * ((u \ z) \ 1) = y.
x * ((x \ y) \ 1) = y * (x * ((y * y) \ x)).
x * (y * ((x * x) \ y)) = y * ((y \ x) \ 1).
x \ (y * ((y \ x) \ 1)) = y * ((x * x) \ y).
(x * y) \ ((x * z) * (L(z \ y,z,x) \ 1)) = (x * z) * (((x * y) * (x * y)) \ (x * z)).
x * y != L(L((z \ 1) \ u,w,v5),z,z \ 1) | x \ L(z * u,w,v5) = y.
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).
(x * (y \ 1)) * (x * (y \ 1)) = x * ((y \ 1) * (y \ x)).
(L(x \ y,z,u) \ y) \ x = x \ (L(x \ y,z,u) * ((x \ y) \ x)).
x \ (L(x \ y,z,u) * ((x \ y) \ x)) = (L(x \ y,z,u) \ y) \ x.
(x * L(y \ 1,z,u)) * w != L(y \ 1,z,u) * (x * y) | y = w.
x = L(x,y,L(x \ 1,z,u)).
L(x,y,L(x \ 1,z,u)) = x.
L(x \ 1,y,L(x,z,u)) = x \ 1.
L(x,y,x \ 1) = x.
L(x \ y,z,y \ x) = x \ y.
L(x \ (y \ x),z,y) = x \ (y \ x).
(x * (y \ z)) * L(z \ y,u,w) = (y \ z) * (x * L(z \ y,u,w)).
x \ y != L(z \ 1,u,L(z,w,v5)) | (z \ 1) \ y = x.
(x \ 1) \ (y * L(x,z,u)) = L(x,z,u) * ((x \ 1) \ y).
x \ y != L(z \ (u \ z),w,u) | x * (z \ (u \ z)) = y.
(x * y) * (z \ (x \ z)) = x * (y * (z \ (x \ z))).
x \ y != z * L(z \ u,z,u) | L(u,z,z) * x = y.
L(x,y,y) * (y \ 1) = L(x * (y \ 1),y,x).
L(x * (y \ 1),y,x) = L(x,y,y) * (y \ 1).
x \ y != z * L(z \ u,z,z) | L(u,z,z) * x = y.
L(x,y,y) * (y \ 1) = L(x * (y \ 1),y,y).
L(x * (y \ 1),y,y) = L(x,y,y) * (y \ 1).
(x \ 1) \ L(y,z,u) = x * L(x \ ((x \ 1) \ y),z,u).
x * L(x \ ((x \ 1) \ y),z,u) = (x \ 1) \ L(y,z,u).
L(x * (y \ 1),y,x) != z | (y \ 1) \ z = L(x,y,y).
L(x * (y \ 1),y,x) != z | L(x,y,y) = (y \ 1) \ z.
L(x * (y \ 1),y,x) != z | (y \ 1) * L(x,y,y) = z.
x != L(y,z,z) * (z \ 1) | L(y * (z \ 1),z,y) = x.
L(x * (y \ 1),y,x) = L(x * (y \ 1),y,y).
L(x * (y \ 1),y,y) = L(x * (y \ 1),y,x).
(x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z).
L(x \ y,x \ 1,y) = y * (x \ 1).
L((x \ 1) \ y,x,y) = y * ((x \ 1) \ 1).
L((x \ 1) \ y,x,y) = y * x.
x != (y \ z) * y | z = x.
x = L((y \ 1) \ (y \ x),y,y \ x).
L((x \ 1) \ (x \ y),x,x \ y) = y.
L(x,y,y \ 1) = L(y * (y \ x),y,y \ x).
L(x * (x \ y),x,x \ y) = L(y,x,x \ 1).
L(x,y,y \ x) = L(x,y,y \ 1).
L(x,y,y \ 1) = L(x,y,y \ x).
x \ y != L(z,u,u \ z) | x * L(z,u,u \ 1) = y.
x * L(x,y,y \ 1) = (y * x) * (y \ x).
L(x * y,x,x \ 1) = L(x * y,x,y).
x * (y * (x * (y \ 1))) = (y * x) * (y \ x).
L(x * (y \ 1),y,x) = y \ x.
(x \ 1) * L(y,x,x) = x \ y.
L(x,y,y) = (y \ 1) \ (y \ x).
(x \ 1) \ (x \ y) = L(y,x,x).
L(x * (y \ 1),y,x) != z | L(x * (y \ 1),y,y) = z.
L(x * (y \ 1),y,y) = y \ x.
x * y != z \ (u * L(z,w,v5)) | x \ ((z \ u) * L(z,w,v5)) = y.
(x \ 1) \ ((x \ y) * L(x,z,u)) = L(y * L(x,z,u),x,x).
x * y != z \ (z * u) | x \ u = y.
(x \ 1) \ y = L(x * y,x,x).
L(x * y,x,x) = (x \ 1) \ y.
(x \ 1) * y != x \ L(x * z,u,w) | L((x \ 1) \ z,u,w) = y.
L((x \ 1) \ y,z,u) = L(L(x * y,z,u),x,x).
L(L(x * y,z,u),x,x) = L((x \ 1) \ y,z,u).
x \ y != (z \ 1) \ (z \ u) | L(u,z,z) \ y = x.
L(x,y,y) \ 1 = y \ ((y \ x) \ 1).
x \ ((x \ y) \ 1) = L(y,x,x) \ 1.
L((x \ 1) * y,x,x) = x \ y.
L(x,y,y) = y \ ((y \ 1) \ x).
x \ ((x \ 1) \ y) = L(y,x,x).
L((x * y) \ 1,x,x) = x \ (y \ 1).
L((x * y) \ 1,y,y) = y \ (x \ 1).
x * L(y,x,x) = (x \ 1) \ y.
x \ y != z \ ((z \ 1) \ u) | L(u,z,z) \ y = x.
L(x,y,y) \ y = y * (((y \ 1) \ x) \ y).
x * (((x \ 1) \ y) \ x) = L(y,x,x) \ x.
L(L(x,y,y),y,z) = (y * z) \ (z * ((y \ 1) \ x)).
x \ ((x \ y) \ 1) = L(y \ 1,x,x).
x * y != (x \ 1) \ L(z,x,x \ 1) | z = y.
x = L(L(x,y,y \ 1),y,y).
L(L(x,y,y \ 1),y,y) = x.
L(L(x,y,y),y,y \ 1) = x.
x \ ((x \ 1) \ y) != z | z = L(y,x,x).
x \ ((x \ 1) \ y) != z | L(y,x,x) = z.
(x \ y) * L(x,x,y) = L(y,x,x \ 1).
(x * x) * (x \ y) = L(x * y,x,x \ 1).
L(x * y,x,x \ 1) = (x * x) * (x \ y).
x \ ((x \ y) \ 1) != z | L(y,x,x) \ 1 = z.
L(x,y,y) \ 1 = L(x \ 1,y,y).
L(x \ 1,y,y) = L(x,y,y) \ 1.
x \ y != z | L(y * (x \ 1),x,x) = z.
x \ L(x,y,y \ 1) = L(x,y,y) \ x.
x * (L(x,y,y \ 1) \ x) = L(x,y,y).
x * a(y,y \ 1,x) = L(x,y,y).
x \ L(x,y,y) = a(y,y \ 1,x).
a(x,x \ 1,y) = y \ L(y,x,x).
L(x * y,x,x \ 1) != z | L(x * y,x,y) = z.
L(x * y,x,y) = (x * x) * (x \ y).
x \ y != (z * z) * (z \ u) | x * L(z * u,z,u) = y.
x * L(x * y,x,y) = y * (x * x).
(x * y) \ L(x * y,x,y) = a(x,x,x \ y).
L(L(x,y,z),u,w) != v5 | L(L(x,u,w),y,z) = v5.
L(L(x,y,z),y,y) = (y * z) \ (z * ((y \ 1) \ x)).
x != (y * (y \ z)) \ (u * w) | z \ (w * u) = x.
x \ (((y \ 1) \ z) * (y \ x)) = L(L(z,y,y \ x),y,y).
L(L(x,y,y \ z),y,y) = z \ (((y \ 1) \ x) * (y \ z)).
L(L(x,y,y \ z),y,y) = z \ ((y \ z) * ((y \ 1) \ x)).
x * (y \ (((x \ 1) \ z) * (x \ y))) = (x \ 1) \ L(z,x,x \ y).
x * y != z \ ((u \ z) * ((u \ 1) \ w)) | x \ L(L(w,u,u \ z),u,u) = y.
x \ L(L(y,z,z \ (x \ 1)),z,z) = L((z \ (x \ 1)) * ((z \ 1) \ y),x,x).
L((x \ (y \ 1)) * ((x \ 1) \ z),y,y) = y \ L(L(z,x,x \ (y \ 1)),x,x).
x * L(x \ (y \ x),z,u) = (y \ x) * (y * L(y \ 1,z,u)).
(x \ y) * (x * L(x \ 1,z,u)) = y * L(y \ (x \ y),z,u).
x \ y != L(L((z \ u) \ w,v5,v6),z \ u,z) | x * L(u \ (z * w),v5,v6) = y.
x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)).
x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w).
(x \ 1) \ (y * L(x,z,u)) != w | L(x,z,u) * ((x \ 1) \ y) = w.
L(x,y,z) * ((x \ 1) \ (x \ u)) = L(u * L(x,y,z),x,x).
L(x,y,z) * L(u,x,x) = L(u * L(x,y,z),x,x).
L(x * L(y,z,u),y,y) = L(y,z,u) * L(x,y,y).
x != (y * (z * u)) \ (u * (y * z)) | a(y,z,u) = x.
a(x,y,z) = L(x \ L(x,y,z),x,y * z).
a(x,y,y \ z) = L(x \ L(x,y,y \ z),x,z).
L(x \ L(x,y,y \ z),x,z) = a(x,y,y \ z).
(x \ y) \ (y * L(y \ (x \ y),z,u)) = x * L(x \ 1,z,u).
x * y != (z * u) * L(w,z,u) | x \ (u * (z * w)) = y.
(x \ (y * z)) \ (z * (y * ((y * z) \ (x \ (y * z))))) = x * L(x \ 1,y,z).
(x \ y) \ (y * ((y * z) \ (z * (x \ y)))) = x * L(x \ 1,y,z).
x != ((y \ z) * (y * (z \ u))) \ u | a(y \ z,y,z \ u) = x.
a(x \ y,x,y \ z) = z \ (L(x \ y,x,y \ z) * ((x \ y) \ z)).
x \ (L(y \ z,y,z \ x) * ((y \ z) \ x)) = a(y \ z,y,z \ x).
L((x \ 1) \ y,x \ 1,x \ 1) != z | (x \ (x \ 1)) \ (y * (x \ 1)) = z.
(x \ (x \ 1)) \ (y * (x \ 1)) = (x \ 1) * ((x \ (x \ 1)) \ y).
(x \ (x \ 1)) \ ((x \ 1) * y) = (x \ 1) * ((x \ (x \ 1)) \ y).
x * y != (z \ u) \ (u * (w \ u)) | x \ ((z \ w) \ u) = y.
(x \ 1) \ ((x \ y) \ (x \ 1)) = (x \ (x \ 1)) \ (y \ (x \ 1)).
(x \ (x \ 1)) \ (y \ (x \ 1)) = (x \ 1) \ ((x \ y) \ (x \ 1)).
(x \ ((y * z) \ 1)) \ (y \ 1) = (x \ (y \ 1)) \ ((z \ y) \ 1).
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(L(x,y,z),x,u) != w | a(x,L(x,y,z),u) = w.
(x * y) * L((x * y) \ (z * x),u,w) = x * (y * L(y \ z,u,w)).
(x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5.
x * (y * L(y \ (x \ (y * z)),u,w)) = y * (x * L(x \ z,u,w)).
x \ (L(x \ y,z,u) * (x * (y \ x))) = (L(x \ y,z,u) \ y) \ x.
L(x \ y,z,u) * (w * (y \ x)) = (y \ x) * (w * L(x \ y,z,u)).
x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w).
x \ (((y \ z) \ x) * L(y \ z,y,z \ x)) = a(y \ z,y,z \ x).
x * (y * L(y \ (x \ z),u,w)) = y * (x * L(x \ (y \ z),u,w)).
x \ ((y \ x) * (x * L(x \ y,z,u))) = (L(x \ y,z,u) \ y) \ x.
x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u).
(x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)).
(x \ y) \ (1 * L(1 \ ((x \ y) * x),z,u)) = ((x \ y) \ 1) * L(L(y,y \ x,x),z,u).
L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)).
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w).
((x * y) \ y) * L(((x * y) \ y) \ 1,z,u) = (x * y) \ (y * L(x,z,u)).
x \ ((y \ z) \ (z * (y \ x))) = a(y \ z,y,z \ x).
x * y != z * (u * L(u \ (z \ w),v5,v6)) | y \ (u * (z * L(z \ (u \ w),v5,v6))) = x.
x \ (y * (x * L(x \ (y \ z),u,w))) = y * L(y \ (x \ z),u,w).
L(L((x \ y) \ (x \ (x \ y)),z,u),w,L(x \ 1,z,u)) \ y = x * ((L(x \ 1,z,u) * x) \ y).
x != (y * (z \ u)) * L(u \ z,w,v5) | (z \ u) * (y * L(u \ z,w,v5)) = x.
(x \ y) * (y * L(y \ x,z,u)) = y * ((x \ y) * L((x \ y) \ 1,z,u)).
x * ((y \ x) * L((y \ x) \ 1,z,u)) = (y \ x) * (x * L(x \ y,z,u)).
(x \ (y \ x)) * L(((y * x) \ x) \ 1,z,u) = (y * x) \ (x * L(y,z,u)).
x * (y \ (x * L(x \ y,z,u))) = (y \ x) * (x * L(x \ y,z,u)).
(x \ y) * (y * L(y \ x,z,u)) = y * (x \ (y * L(y \ x,z,u))).
x \ (x * (y \ (x * L(x \ y,z,u)))) = (L(x \ y,z,u) \ y) \ x.
(L(x \ y,z,u) \ y) \ x = y \ (x * L(x \ y,z,u)).
(x \ (y \ z)) \ (y \ (y \ z)) != u | (x \ z) \ (y \ z) = u.
(L((x \ (x \ y)) \ (x \ y),z,u) \ y) \ (x \ y) = (x \ y) \ ((x \ (x \ y)) * L((x \ (x \ y)) \ (x \ y),z,u)).
(x \ y) \ ((x \ (x \ y)) * L((x \ (x \ y)) \ (x \ y),z,u)) = (L((x \ (x \ y)) \ (x \ y),z,u) \ y) \ (x \ y).
(L(x \ (y \ z),x,y) \ (y \ z)) \ x = (y \ z) \ (x * ((y * x) \ z)).
L(x,x,y) \ x = y \ (x * L(x \ y,x,y)).
x \ (y * L(y \ x,y,x)) = L(y,y,x) \ y.
x \ L(x,y,y) = L(y,y,x) \ y.
L(x,x,y) \ x = y \ L(y,x,x).
(((x * y) \ z) \ (y \ z)) \ x = (y \ z) \ (x * ((y * x) \ z)).
(((x * y) \ z) \ (y \ z)) \ x = (y \ z) \ (x * ((x * y) \ z)).
(((x * y) \ (x * z)) \ (y \ (x * z))) \ x = (y \ (x * z)) \ (x * L(y \ z,y,x)).
(((x * y) \ (y * z)) \ z) \ x = (y \ (y * z)) \ (x * ((x * y) \ (y * z))).
(x \ (x * y)) \ (z * ((z * x) \ (x * y))) = (((z * x) \ (x * y)) \ y) \ z.
(x \ (y \ x)) * L((x \ (y \ x)) \ 1,z,u) = (y * x) \ (x * L(y,z,u)).
(x \ (x * y)) \ (z * ((z * x) \ (x * y))) = (((z * x) \ y) \ (x \ y)) \ z.
(x \ y) * L((x \ y) \ 1,z,u) != w | x \ (y * L(y \ x,z,u)) = w.
x \ ((y \ x) * L((y \ x) \ x,z,u)) = (y * x) \ (x * L(y,z,u)).
x \ (L(y,z,u) * (y \ x)) = (y \ x) \ ((y \ (y \ x)) * L((y \ (y \ x)) \ (y \ x),z,u)).
(x \ y) \ ((x \ (x \ y)) * L((x \ (x \ y)) \ (x \ y),z,u)) = y \ (L(x,z,u) * (x \ y)).
x != (((y * z) \ u) \ (z \ u)) \ y | (z \ u) \ (y * ((y * z) \ u)) = x.
(x \ y) \ (z * ((z * x) \ y)) = (x \ (x * y)) \ (z * ((z * x) \ (x * y))).
(x \ (x * y)) \ (z * ((z * x) \ (x * y))) = (x \ y) \ (z * ((z * x) \ y)).
x \ (y * ((y * z) \ (z * x))) = (z \ x) \ (y * ((y * z) \ x)).
(x \ y) \ (z * ((z * x) \ y)) = y \ (z * ((z * x) \ (x * y))).
(x \ y) \ (z * ((x * z) \ y)) = y \ (z * ((z * x) \ (x * y))).
x \ (y * (z * ((z * y) \ x))) != u | a((z * y) \ x,z,y) = u.
a((x * y) \ (z \ (x * y)),x,y) = z * L(z \ 1,x,y).
a((x * y) \ (y * (L(z,u,w) \ x)),x,y) = L(L(z,L(z,u,w) \ x,y),u,w) * L(L(L(z,L(z,u,w) \ x,y),u,w) \ 1,x,y).
L(L(x,L(x,y,z) \ u,w),y,z) * L(L(L(x,L(x,y,z) \ u,w),y,z) \ 1,u,w) = a((u * w) \ (w * (L(x,y,z) \ u)),u,w).
L(x,y,L(x,z,z \ y)) \ ((x * z) * (z \ y)) = y * a(x,z,z \ y).
x \ ((x * y) * (y \ z)) = z * a(x,y,y \ z).
L(x,y,y \ x) = x * a(x,y,y \ x).
x * a(x,y,y \ x) = L(x,y,y \ x).
x * y != z * a(u,w,w \ z) | y \ (u \ ((u * w) * (w \ z))) = x.
x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ x).
L(a(x,y,y \ z) \ u,a(x,y,y \ z),z) = (x \ ((x * y) * (y \ z))) \ (z * u).
(x \ ((x * y) * (y \ z))) \ z = z \ (a(x,y,y \ z) \ z).
x != L(y,z,z \ y) | L(y,z,z \ 1) = x.
L(x,y,y \ 1) = x * a(x,y,y \ x).
x * a(x,y,y \ x) = L(x,y,y \ 1).
x \ (y \ (z * ((y \ z) \ x))) = a(y,y \ z,(y \ z) \ x).
a(x,x \ y,(x \ y) \ z) = z \ (x \ (y * ((x \ y) \ z))).
x \ ((y \ z) \ (z * (y \ x))) = a(y \ z,y,y \ x).
a(x \ y,x,x \ z) = z \ ((x \ y) \ (y * (x \ z))).
x != y \ ((z \ u) \ (u * (z \ y))) | a(z \ u,z,u \ y) = x.
a(x \ y,x,y \ z) = a(x \ y,x,x \ z).
a(x,y,(x * y) \ z) = a(y \ (x * y),y,y \ z).
a(x \ (y * x),x,x \ z) = a(y,x,(y * x) \ z).
a(x,y,y \ z) = a(x,y,(x * y) \ z).
a(x,y,(x * y) \ z) = a(x,y,y \ z).
a(x,x \ y,y \ z) = a(x,x \ y,(x \ y) \ z).
a(x,x \ y,(x \ y) \ z) = a(x,x \ y,y \ z).
a(x,y,L(z,x,y)) = a(x,y,y \ (y * (x * z))).
a(x,y,y \ (y * (x * z))) = a(x,y,L(z,x,y)).
a(x,y,x * z) = a(x,y,L(z,x,y)).
a(x,y,L(z,x,y)) = a(x,y,x * z).
(x \ (y * (z \ u))) \ u != w | (x \ u) \ (z * (y \ u)) = w.
(x \ y) \ (z * ((x * z) \ y)) = y \ (a(x,z,z \ y) \ y).
a(x,x \ y,(x \ y) \ z) != u | a(x,x \ y,y \ z) = u.
a(x,x \ y,y \ z) = z \ (x \ (y * ((x \ y) \ z))).
x \ (y \ (z * ((y \ z) \ x))) = a(y,y \ z,z \ x).
((x \ (y * z)) \ (u \ (y * z))) \ y != w | ((x \ (u * (y * z))) \ y) \ (z \ y) = w.
(((x * y) \ (y * (x * z))) \ x) \ (z \ x) = (y \ (x * z)) \ (x * L(y \ z,y,x)).
L(a(x,y,z) \ u,a(x,y,y \ (y * z)),y * z) = (x \ ((x * y) * (y \ (y * z)))) \ ((y * z) * u).
(L(x,y,z) \ y) \ (x \ y) = (z \ (y * x)) \ (y * L(z \ x,z,y)).
(x \ (y * z)) \ (y * L(x \ z,x,y)) = (L(z,y,x) \ y) \ (z \ y).
(((x * y) \ (x * z)) \ (y \ (x * z))) \ x = (z \ (y \ (x * z))) \ (x * ((x * z) \ (y \ (x * z)))).
(x \ (y \ (z * x))) \ (z * ((z * x) \ (y \ (z * x)))) = (((z * y) \ (z * x)) \ (y \ (z * x))) \ z.
(x \ y) \ (1 * L(y,z,u)) = ((x \ y) \ 1) * L(L(y,y \ x,x),z,u).
((x \ y) \ 1) * L(L(y,y \ x,x),z,u) = (x \ y) \ (1 * L(y,z,u)).
((x \ y) \ 1) * L(L(y,y \ x,x),z,u) = (x \ y) \ L(y,z,u).
(x * (y * L(L(z,u,w),v5,v6))) \ ((x * y) * L(L(z,v5,v6),u,w)) != v7 | a(x,y,L(L(z,v5,v6),u,w)) = v7.
a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)).
a(x,y,(z * u) \ (u * (w \ z))) = a(x,y,L(L(w \ 1,w,z),z,u)).
a(x,y,L(L(z \ 1,z,u),u,w)) = a(x,y,(u * w) \ (w * (z \ u))).
L(L(x \ (y \ x),z,u),w,L(y \ 1,z,u)) \ x = y * ((L(y \ 1,z,u) * y) \ x).
L(L(x \ 1,y,z),x,u) \ u = x * ((L(x \ 1,y,z) * x) \ u).
L(L(x \ 1,y,z),x,u) = L(L(x \ 1,y,z),x,x * u).
L(L(x \ 1,y,z),x,x * u) = L(L(x \ 1,y,z),x,u).
x != L(L(y \ 1,z,u),w,v5) | L(L(L(y \ 1,z,u),w,v5),v6,y) = x.
L(L(L(x \ 1,y,z),x,u),w,x) = L(L(x \ 1,y,z),x,x * u).
L(L(x,y,z),y * z,u) != w | (u * (y * z)) \ (u * (z * (y * x))) = w.
(x * (x * y)) \ (x * (y * (x * L(x \ 1,z,u)))) = L(L(x \ 1,z,u),x,x * y).
(x * y) \ z != L(u,x,y) | (x * u) * y = z.
(x * L(x \ 1,y,z)) * (x * u) = x * (u * (x * L(x \ 1,y,z))).
(x * (y * L(y \ 1,z,u))) * w != (y * L(y \ 1,z,u)) * (y * x) | y = w.
x = L(x,y,x * L(x \ 1,z,u)).
L(x,y,x * L(x \ 1,z,u)) = x.
(x \ (y \ (z * x))) \ (z * ((z * x) \ (y \ (z * x)))) = (((y * z) \ (z * x)) \ (y \ (z * x))) \ z.
x != ((y \ (z * u)) \ (w \ (z * u))) \ z | ((y \ (w * (z * u))) \ z) \ (u \ z) = x.
(((x * y) \ (x * (y * z))) \ y) \ (z \ y) = (z \ (x \ (y * z))) \ (y * ((y * z) \ (x \ (y * z)))).
(x \ (y \ (z * x))) \ (z * ((z * x) \ (y \ (z * x)))) = (((y * z) \ (y * (z * x))) \ z) \ (x \ z).
(x \ (y \ (z * x))) \ (z * ((z * x) \ (y \ (z * x)))) = (L(x,z,y) \ z) \ (x \ z).
L(a(x,y,z) \ u,a(x,y,z),y * z) = (x \ ((x * y) * (y \ (y * z)))) \ ((y * z) * u).
L(a(x,y,z) \ u,a(x,y,z),y * z) = (x \ ((x * y) * z)) \ ((y * z) * u).
L(a(x,y,z) \ u,a(x,y,z),y * z) = (x \ (z * (x * y))) \ ((y * z) * u).
((x * y) * z) / u != L(a(w,x,y) \ z,a(w,x,y),x * y) | w \ (y * (w * x)) = u.
x \ (y * (x * z)) = (z * y) * a(x,z,y).
L(a(x,y,z) \ u,a(x,y,z),y * z) != w | (x \ (z * (x * y))) \ (u * (y * z)) = w.
L(x * y,x,y) = (x * y) * a(x * y,x,y).
(x * y) * a(x * y,x,y) = L(x * y,x,y).
(x * (y * z)) / u != (z * x) * a(y,z,x) | y = u.
x = ((y * z) * a(x,y,z)) \ (z * (x * y)).
((x * y) * a(z,x,y)) \ (y * (z * x)) = z.
x * ((y * z) * a(x,y,z)) = z * (x * y).
x * y != (z * u) \ (u * (w * z)) | x \ L(w,z,u) = y.
(x * y) \ L(x * y,x,y) = a(x * y,x,y).
x \ (y * (x * z)) = (y * z) * a(x,z,y).
x * y != z * (x * x) | L(x * z,x,z) = y.
L(x * y,x,y) = (x * y) * a(x,x,y).
(x * y) * a(x,x,y) = L(x * y,x,y).
x \ (y * (z * x)) = (y * z) * a(x,z,y).
x * y != z \ (u * (w * v5)) | x \ (z \ (u * (v5 * w))) = y.
(x * y) \ (z \ (x * (y * z))) = a(z,y,x).
a(x,y,z) = (z * y) \ (x \ (z * (y * x))).
a(x,y,z) * (z * y) = x \ (z * (y * x)).
x \ (y * (z * x)) = a(x,z,y) * (y * z).
x * y != a(z,u,w) | x \ ((w * u) \ (z \ (w * (u * z)))) = y.
x \ ((y * z) \ (((z * y) \ (x \ (z * y))) \ (y * (z * ((z * y) \ (x \ (z * y))))))) = L(x \ 1,z,y).
a(x \ y,x,z) = (z * x) \ ((x \ y) \ (z * y)).
(x * y) \ ((y \ z) \ (x * z)) = a(y \ z,y,x).
a(x,x \ y,z) = (z * (x \ y)) \ (x \ (z * y)).
(x * (y \ z)) \ (y \ (x * z)) = a(y,y \ z,x).
(x * y) * z != L(x * y,x,y) | a(x,x,y) = z.
a(x,x,y) = a(x * y,x,y).
a(x * y,x,y) = a(x,x,y).
a(x,y,y \ x) = a(y,y,y \ x).
(x * y) \ L(x * y,x,y) != z | a(x,x,x \ y) = z.
a(x,x,x \ y) = a(x * y,x,y).
a(x * y,x,y) = a(x,x,x \ y).
a(x * y,x,y) != z | a(x,x,y) = z.
a(x,x,y) = a(x,x,x \ y).
a(x,x,x \ y) = a(x,x,y).
a(x,x,x \ y) != z | a(y,x,x \ y) = z.
a(x,y,y \ x) = a(y,y,x).
(x * y) \ ((y \ (z * u)) \ (x * (z * u))) = a(y \ (u * z),y,x).
(x * y) \ ((y \ z) \ (x * z)) = a(y \ (z * x),y,x).
(x * y) \ ((y \ z) \ (x * z)) != u | a(y \ z,y,x) = u.
a(x \ y,x,z) = a(x \ (y * z),x,z).
a(x \ (y * z),x,z) = a(x \ y,x,z).
a(x,y,y) = a(y \ x,y,y).
a(x \ y,x,x) = a(y,x,x).
x \ y != a(z \ u,z,z) | a(u,z,z) \ y = x.
a(x,y,y) \ (y * x) = (y * y) * (y \ x).
a(x * (y * z),a(x,y,z),a(x,y,z)) = a(z * (x * y),a(x,y,z),a(x,y,z)).
a(x * (y * z),a(y,z,x),a(y,z,x)) = a(y * (z * x),a(y,z,x),a(y,z,x)).
x != (y * y) * (y \ z) | L(y * z,y,y \ 1) = x.
L(x * y,x,x \ 1) = a(y,x,x) \ (x * y).
x \ ((y * z) \ (((y * z) \ (x \ (z * y))) \ (y * (z * ((z * y) \ (x \ (z * y))))))) = L(x \ 1,z,y).
x \ ((y * z) \ (((y * z) \ (x \ (y * z))) \ (y * (z * ((z * y) \ (x \ (z * y))))))) = L(x \ 1,z,y).
x \ ((y * z) \ (((y * z) \ (x \ (y * z))) \ (y * (z * ((y * z) \ (x \ (z * y))))))) = L(x \ 1,z,y).
x \ ((y * z) \ (((y * z) \ (x \ (y * z))) \ (y * (z * ((y * z) \ (x \ (y * z))))))) = L(x \ 1,z,y).
x \ a((y * z) \ (x \ (y * z)),z,y) = L(x \ 1,z,y).
x * L(x \ 1,y,z) = a((z * y) \ (x \ (z * y)),y,z).
a((x * y) \ (z \ (x * y)),y,x) = z * L(z \ 1,y,x).
L(x,y,a((z * u) \ (x \ (z * u)),u,z)) = x.
L(x,y,1) = x.
L(x \ L(x,y,y \ z),x,z) != u | a(x,y,y \ z) = u.
a(x,y,y \ 1) = x \ L(x,y,y \ 1).
x \ L(x,y,y \ 1) = a(x,y,y \ 1).
x \ y != L(z \ L(z,u,u \ w),z,w) | x * a(z,u,u \ w) = y.
x * a(x,y,y \ 1) = L(x,y,y \ 1).
L(x,y,K(z,u)) = x.
x * y != L(x,z,K(u,w)) | 1 = y.
1 = a(x,x,K(y,z)).
a(x,x,K(y,z)) = 1.
T(x,y) = x * a(z,z,K(u,w)).
x \ L(x,y,y \ 1) != z | L(x,y,y) \ x = z.
L(x,y,y) \ x = a(x,y,y \ 1).
a(x,y,y \ 1) = L(x,y,y) \ x.
x \ y != z \ L(z,u,u \ 1) | a(z,u,u \ 1) \ y = x.
a(x,y,y \ 1) \ 1 = a(y \ 1,y,x).
a(x,y,y \ 1) \ x = L(x,y,y).
((x \ 1) \ y) \ (x * y) = a((x \ 1) \ y,x,x \ 1).
a((x \ 1) \ y,x,x \ 1) = ((x \ 1) \ y) \ (x * y).
x * y != L(z,u,u) \ z | x \ a(z,u,u \ 1) = y.
x \ a(x,y,y \ 1) = L(x,y,y) \ 1.
x != L(y,z,z) | (z \ 1) \ (z \ y) = x.
(x \ 1) \ (x \ y) = a(y,x,x \ 1) \ y.
a(x,y,y \ 1) \ x = (y \ 1) \ (y \ x).
x * y != L(x,z,z \ 1) | a(x,z,z \ x) = y.
a(x,y,y \ x) = a(x,y,y \ 1).
a(x,y,y \ 1) = a(x,y,y \ x).
x != a(y,z,z \ y) | a(z,z,y) = x.
a(x,x,y) = a(y,x,x \ 1).
a(x,y,y \ 1) = a(y,y,x).
x != a(y \ 1,y,z) | a(y,y \ 1,z) = x.
a(x,x \ 1,y) = a(y,x,x \ 1) \ 1.
a(x,y,y \ 1) \ 1 = a(y,y \ 1,x).
x != L(y,z,z) \ 1 | L(y \ 1,z,z) = x.
L(x \ 1,y,y) = x \ a(x,y,y \ 1).
x \ a(x,y,y \ 1) = L(x \ 1,y,y).
(x \ a(y,y \ 1,z)) \ 1 = (x \ 1) \ a(z,y,y \ 1).
x \ y != z \ (u \ y) | (z \ y) \ (u * y) = x.
((x \ 1) \ y) \ (x * y) = a(y,x,x \ 1).
x != a(y,z,z \ 1) | a(z,z,y) = x.
a(x,x,y) = ((x \ 1) \ y) \ (x * y).
((x \ 1) \ y) \ (x * y) = a(x,x,y).
a(x,y,y \ 1) != z | a(y,y,x) = z.
a(x,x,(x \ 1) \ y) = ((x \ 1) \ y) \ (x * y).
x != ((y \ 1) \ z) \ (y * z) | a(y,y,z) = x.
a(x,x,y) = a(x,x,(x \ 1) \ y).
a(x,x,(x \ 1) \ y) = a(x,x,y).
a(x,x,y) = a(x,x,y * (x \ 1)).
a(x,x,y * (x \ 1)) = a(x,x,y).
a(x,x,(x * y) \ 1) = a(x,x,y \ 1).
x \ 1 != y \ a(y,z,z \ 1) | L(y,z,z) = x.
L(x \ 1,y,y) = x \ a(y,y \ 1,x \ 1).
x \ a(y,y \ 1,x \ 1) = L(x \ 1,y,y).
x \ y != L(x \ 1,z,z) | a(x,z,z \ 1) = y.
a(x,y,y \ 1) = a(y,y \ 1,x \ 1).
a(x,x \ 1,y \ 1) = a(y,x,x \ 1).
a(x,x \ 1,y) = a(y \ 1,x,x \ 1).
a(x \ 1,y,y \ 1) = a(y,y \ 1,x).
a(x,x,y \ 1) = a(x,x \ 1,y).
a(x,x \ 1,y) = a(x,x,y \ 1).
x != a(y,y,z \ 1) | a(y,y,(y * z) \ 1) = x.
a(x,x,(x * y) \ 1) = a(x,x \ 1,y).
a(x,x \ 1,y) != z | L(y,x,x \ 1) \ y = z.
L(x,y,y \ 1) \ x = a(y,y,x \ 1).
x \ y != a(z,z,(z * u) \ 1) | a(z,z \ 1,u) \ y = x.
a(x,x \ 1,y) \ (x * y) = L(x * y,x,x \ 1).
x \ (y * z) != L(y * z,y,y \ 1) | a(z,y,y) = x.
a(x,y,y) = a(y,y \ 1,x).
a(x,x \ 1,y) = a(y,x,x).
a(x,x \ 1,y) != z | y \ L(y,x,x) = z.
x \ L(x,y,y) = a(x,y,y).
x \ L(x,y,y) != z | L(y,y,x) \ y = z.
L(x,x,y) \ x = a(y,x,x).
L(x,x,y) \ x != z | x * L(x \ 1,x,y) = z.
x * L(x \ 1,x,y) = a(y,x,x).
x * y != L(z,z,u) \ z | x \ a(u,z,z) = y.
x \ a(y,x,x) = L(x \ 1,x,y).
L(x \ 1,x,y) = x \ a(y,x,x).
x \ a(y,x,x) = y \ (x \ y).
x \ y != z \ (u \ z) | (u \ a(z,u,u)) \ y = x.
(x \ a(y,x,x)) \ y = x * y.
(x \ a(y,x,x)) \ y = y * x.
(x \ (y \ (z * x))) \ (z * (y \ a(z * x,y,y))) = (L(x,z,y) \ z) \ (x \ z).
x \ y != L(a(z,u,w) \ v5,a(z,u,w),z * (u * w)) | ((w * (z * u)) \ (v5 * (z * (u * w)))) * x = y.
((x * (y * z)) \ (1 * (y * (z * x)))) * a(y,z,x) = a(y * (z * x),a(y,z,x),a(y,z,x)).
((x * (y * z)) \ (1 * (y * (x * z)))) * a(y,z,x) = a(y * (z * x),a(y,z,x),a(y,z,x)).
((x * (y * z)) \ (y * (x * z))) * a(y,z,x) = a(y * (z * x),a(y,z,x),a(y,z,x)).
a(x,y,z) * a(z,y,x) = a(z * (y * x),a(z,y,x),a(z,y,x)).
a(x * (y * z),a(x,y,z),a(x,y,z)) = a(z,y,x) * a(x,y,z).
a(x * (y * z),a(x,y,z),a(x,y,z)) != u | a(z * (x * y),a(x,y,z),a(x,y,z)) = u.
a(x * (y * z),a(y,z,x),a(y,z,x)) = a(x,z,y) * a(y,z,x).
a(x,y,z) * u != a(z * (x * y),a(x,y,z),a(x,y,z)) | a(z,y,x) = u.
a(x,y,z) = L(a(z,y,x) \ 1,a(z,y,x),x * (z * y)).
L(a(x,y,z) \ 1,a(x,y,z),z * (x * y)) = a(z,y,x).
a(x,y,z) != L(u,a(z,y,x),x * (z * y)) | a(z,y,x) \ 1 = u.
L(x,a(y,z,u),u * (y * z)) != a(u,z,y) | a(y,z,u) \ 1 = x.
L(a(x,y,(x * y) \ z) \ 1,a(x,y,(x * y) \ z),z) = a((x * y) \ z,y,x).
L(a(x,y,L(z,x,y)) \ 1,a(x,y,L(z,x,y)),y * (x * z)) = a(L(z,x,y),y,x).
L(a(x,y,y \ z) \ 1,a(x,y,(x * y) \ z),z) = a((x * y) \ z,y,x).
L(a(x,y,y \ z) \ 1,a(x,y,y \ z),z) = a((x * y) \ z,y,x).
x \ (a(y,z,z \ x) \ x) = a((y * z) \ x,z,y).
a((x * y) \ z,y,x) = z \ (a(x,y,y \ z) \ z).
x != y \ (a(z,u,u \ y) \ y) | (z \ y) \ (u * ((z * u) \ y)) = x.
(x \ y) \ (z * ((x * z) \ y)) = a((x * z) \ y,z,x).
(x \ y) \ (z * ((x * z) \ y)) != u | y \ (z * ((z * x) \ (x * y))) = u.
x \ (y * ((y * z) \ (z * x))) = a((z * y) \ x,y,z).
(x \ (y * (x * z))) \ (z * y) = a((x * z) \ (y * (x * z)),z,x).
a((x * y) \ (z * (x * y)),y,x) = (x \ (z * (x * y))) \ (y * z).
(x \ (x * y)) \ (z * ((x * z) \ (x * y))) = a(L(z \ y,z,x),z,x).
a(L(x \ y,x,z),x,z) = (z \ (z * y)) \ (x * ((z * x) \ (z * y))).
(x \ (y * z)) \ (y * L(x \ z,x,y)) = a((x * y) \ (y * z),y,x).
((x * y) \ (y * (z * x))) \ (a(z,x,y) * z) = a(((x * y) * a(z,x,y)) \ (y * (z * x)),a(z,x,y),x * y).
a(((x * y) * a(z,x,y)) \ (y * (z * x)),a(z,x,y),x * y) = ((x * y) \ (y * (z * x))) \ (a(z,x,y) * z).
(x \ (y \ (x * z))) \ (z * (y \ a(x * z,y,y))) = a((x * z) \ (y \ (x * z)),z,x).
x \ (y * ((y * z) \ (z * x))) = a((y * z) \ x,y,z).
(x \ y) \ (y * ((y * z) \ (z * (x \ y)))) != u | x * L(x \ 1,y,z) = u.
x * L(x \ 1,y,z) = a((y * z) \ (x \ y),y,z).
a((x * y) \ (z \ x),x,y) = z * L(z \ 1,x,y).
a(x,y,z) = (z \ (x * (z * y))) \ (y * x).
a(L(x \ y,x,z),x,z) = y \ (x * ((z * x) \ (z * y))).
a(L(x \ y,x,z),x,z) = y \ (x * ((x * z) \ (z * y))).
a(L(x \ y,x,z),x,z) = y \ (x * ((x * z) \ (y * z))).
a((x * y) \ (x * z),y,x) = z \ (y * ((y * x) \ (x * z))).
a((x * y) \ (y * z),x,y) = z \ (x * ((x * y) \ (y * z))).
x != y \ (z * ((z * u) \ (u * y))) | a((u * z) \ y,z,u) = x.
a((x * y) \ z,y,x) = a((x * y) \ (x * z),y,x).
a((x * y) \ (x * z),y,x) = a((x * y) \ z,y,x).
x != y \ (z * ((z * u) \ (u * y))) | a((z * u) \ y,z,u) = x.
a((x * y) \ z,x,y) = a((x * y) \ (y * z),x,y).
a((x * y) \ (y * z),x,y) = a((x * y) \ z,x,y).
L(a(x,y,x * z) \ 1,a(x,y,L(z,x,y)),y * (x * z)) = a(L(z,x,y),y,x).
L(a(x,y,x * z) \ 1,a(x,y,x * z),y * (x * z)) = a(L(z,x,y),y,x).
(x \ ((x * y) * (x * z))) \ (1 * (z * (x * y))) = a(L(y,x,z),z,x).
(x \ ((x * y) * (x * z))) \ (z * (x * y)) = a(L(y,x,z),z,x).
(x \ (y * (x * z))) \ (z * y) != u | a(y,z,x) = u.
a(x * y,z,x) = a(L(y,x,z),z,x).
a(L(x,y,z),z,y) = a(y * x,z,y).
a(L(x \ y,x,z),z,x) = a(y,z,x).
a((x * y) \ (y * z),y,x) = a(z,y,x).
a((x * y) \ z,x,y) = a(x \ z,x,y).
a((x * y) \ (z * y),y,x) = a(z,y,x).
a((x * y) \ z,x,y) != u | z \ (y * (x * ((x * y) \ z))) = u.
x \ (y * (z * ((z * y) \ x))) = a(z \ x,z,y).
x \ y != a((z * u) \ w,z,u) | x * a(z \ w,z,u) = y.
x * a(y \ x,y,z) = z * (y * ((y * z) \ x)).
a((x * y) \ z,y,x) != u | a((x * y) \ (x * z),y,x) = u.
a((x * y) \ (x * (z * y)),y,x) = a(z,y,x).
a(L(x,y,z),y,z) = a(x,y,z).
a(L(x \ y,x,z),x,z) != u | y \ (x * ((x * z) \ (y * z))) = u.
x \ (y * ((y * z) \ (x * z))) = a(y \ x,y,z).
x \ (y * L(y \ x,y,z)) = a(y \ x,y,z).
x \ y != a(z \ x,z,u) | u * (z * ((z * u) \ x)) = y.
x * (y * ((y * x) \ z)) = y * L(y \ z,y,x).
x * L(x \ y,x,z) = z * (x * ((x * z) \ y)).
x * y != z * (u * ((u * z) \ w)) | y \ (u * L(u \ w,u,z)) = x.
(x * ((x * y) \ z)) \ (x * L(x \ z,x,y)) = y.
x * L(y,x,z) = z * (x * ((x * z) \ (x * y))).
x * (y * ((y * x) \ (y * z))) = y * L(z,y,x).
x * (y * L(z,x,y)) = y * L(x * z,y,x).
x * L(y * z,x,y) = y * (x * L(z,y,x)).
x * y != z * (x * L(u,z,x)) | z * L(u,x,z) = y.
x * L(y,z,x) = L(x * y,z,x).
L(x * y,z,x) = x * L(y,z,x).
L(x,y,z) = z * L(z \ x,y,z).
x * L(x \ y,z,x) = L(y,z,x).
L(x * (y \ (x \ z)),y,x) = x * ((x * y) \ z).
x * L(y * z,x,y) = y * L(x * z,y,x).
x * y != L(z \ 1,u,z) | x \ (z \ 1) = y.
x \ (x \ 1) = L(x \ (x \ 1),y,x).
L(x \ (x \ 1),y,x) = x \ (x \ 1).
x * y != L(z \ 1,z,u) | x \ (u \ (z \ u)) = y.
x \ (x \ (y \ x)) = L(x \ (y \ 1),y,x).
L(x \ (y \ 1),y,x) = x \ (x \ (y \ x)).
x * y != L(z \ (u \ w),z,u) | x \ ((u * z) \ w) = y.
x \ ((x * y) \ z) = L(x \ (y \ (x \ z)),y,x).
L(x \ (y \ (x \ z)),y,x) = x \ ((x * y) \ z).
x * L(x \ ((x \ 1) \ y),z,u) != w | (x \ 1) \ L(y,z,u) = w.
(x \ 1) \ L(y,z,x) = L((x \ 1) \ y,z,x).
L((x \ 1) \ y,z,x) = (x \ 1) \ L(y,z,x).
x \ (y * L(y \ z,u,x)) = y * L(y \ (x \ z),u,x).
x * L(y * (x \ z),x,y) = y * L(z,y,x).
x \ y != L(z,u * w,w \ 1) | (L(u,w,w \ 1) \ ((w \ 1) * (z * (u * w)))) * x = y.
(L(x,y,y \ 1) \ ((y \ 1) * (((y \ 1) \ ((x * y) \ 1)) * (x * y)))) * (y \ 1) = (y \ 1) \ ((x * y) \ (y \ 1)).
x \ (y * L(z,y,x)) = L(y * (x \ z),x,y).
L(x * (y \ z),y,x) = y \ (x * L(z,x,y)).
x \ y != L(z \ (u \ (z \ w)),u,z) | x * (z \ ((z * u) \ w)) = y.
(x * y) * (x \ ((x * y) \ z)) = x * (y * (x \ (y \ (x \ z)))).
a(x,y,L(L(z,u,w),v5,v6)) != v7 | a(x,y,L(L(z,v5,v6),u,w)) = v7.
a(x,y,L(L(L(z,u,w),v5,v6),v7,v8)) != v9 | a(x,y,L(L(L(z,v5,v6),v7,v8),u,w)) = v9.
a(x,y,L((z \ (u \ z)) \ 1,w,v5)) != v6 | a(x,y,L(L(u,w,v5),u,z)) = v6.
a(x,y,L(L(L(z,u,w),v5,v6),v7,v8)) != v9 | a(x,y,L(L(L(z,v5,v6),u,w),v7,v8)) = v9.
a(x,y,L(L(L(z,u,w),v5,v6),v7,v8)) != v9 | a(x,y,L(L(L(z,v7,v8),u,w),v5,v6)) = v9.
a(((x * y) * a(z,x,y)) \ (y * (z * x)),a(z,x,y),x * y) = L(z,x,y) \ (a(z,x,y) * z).
x != L(y,z,u) \ (w * y) | y * (L(y,z,u) \ w) = x.
x * (L(x,y,z) \ a(x,y,z)) = a(((y * z) * a(x,y,z)) \ (z * (x * y)),a(x,y,z),y * z).
a(((x * y) * a(z,x,y)) \ (y * (z * x)),a(z,x,y),x * y) = z * (L(z,x,y) \ a(z,x,y)).
a(x,a(x,y,z),y * z) = x * (L(x,y,z) \ a(x,y,z)).
x * (L(x,y,z) \ a(x,y,z)) = a(x,a(x,y,z),y * z).
(L(x,y,y \ 1) \ ((y \ 1) * (((y \ (x * y)) \ 1) * (x * y)))) * (y \ 1) = (y \ 1) \ ((x * y) \ (y \ 1)).
(L(x,y,y \ 1) \ ((y \ 1) * ((x \ 1) * (x * y)))) * (y \ 1) = (y \ 1) \ ((x * y) \ (y \ 1)).
L(x \ 1,x * y,y \ 1) * (y \ 1) = (y \ 1) \ ((x * y) \ (y \ 1)).
(x \ 1) \ ((x \ 1) \ ((y * x) \ (x \ 1))) = L(y \ 1,y * x,x \ 1).
L(x \ 1,x * y,y \ 1) = (y \ 1) \ ((y \ 1) \ ((x * y) \ (y \ 1))).
(x \ y) \ ((x \ (x \ y)) * L((x \ (x \ y)) \ (x \ y),z,u)) = (L(x,z,u) \ y) \ (x \ y).
(x \ y) \ ((x \ (x \ y)) * L((x \ (x \ y)) \ (x \ y),z,u)) != w | y \ (L(x,z,u) * (x \ y)) = w.
x \ (L(y,z,u) * (y \ x)) = (L(y,z,u) \ x) \ (y \ x).
(L(x,y,z) \ u) \ (x \ u) = u \ (L(x,y,z) * (x \ u)).
(L(x,y,z) \ y) \ (x \ y) != u | (x \ (z \ (y * x))) \ (y * (z \ a(y * x,z,z))) = u.
(x \ (y \ (z * x))) \ (z * (y \ a(z * x,y,y))) = z \ (L(x,z,y) * (x \ z)).
(L(x,y,z) \ y) \ (x \ y) != u | (z \ (y * x)) \ (y * L(z \ x,z,y)) = u.
(x \ (y * z)) \ (y * L(x \ z,x,y)) = y \ (L(z,y,x) * (z \ y)).
(x \ (y * z)) \ (y * L(x \ z,x,y)) != u | y \ ((z \ y) * L(z,y,x)) = u.
x \ ((y \ x) * L(y,x,z)) = a((z * x) \ (x * y),x,z).
a((x * y) \ (y * z),y,x) = y \ ((z \ y) * L(z,y,x)).
a((x * y) \ (y * z),y,x) != u | a(z,y,x) = u.
a(x,y,z) = y \ ((x \ y) * L(x,y,z)).
x \ y != a((z * u) \ (u * w),u,z) | x * a(w,u,z) = y.
x * a(y,x,z) = (y \ x) * L(y,x,z).
(x \ y) * L(x,y,z) = y * a(x,y,z).
x \ y != (z \ u) * L(z,u,w) | x * (u * a(z,u,w)) = y.
x * (y * a(x,y,z)) = y * L(x,y,z).
x \ ((y \ x) * L(y,x,z)) = (y \ (z \ (x * y))) \ (x * (z \ a(x * y,z,z))).
(x \ (y \ (z * x))) \ (z * (y \ a(z * x,y,y))) = z \ ((x \ z) * L(x,z,y)).
(x \ (y \ (x * z))) \ (z * (y \ a(z * x,y,y))) = z \ ((x \ z) * L(x,z,y)).
(x \ (y \ (x * z))) \ (z * (y \ a(x * z,y,y))) = z \ ((x \ z) * L(x,z,y)).
(x \ (y \ (x * z))) \ (z * (y \ a(x * z,y,y))) != u | a((x * z) \ (y \ (x * z)),z,x) = u.
a((x * y) \ (z \ (x * y)),y,x) = y \ ((x \ y) * L(x,y,z)).
x != y \ ((z \ y) * L(z,y,u)) | a(z,y,u) = x.
a(x,y,z) = a((x * y) \ (z \ (x * y)),y,x).
a((x * y) \ (z \ (x * y)),y,x) = a(x,y,z).
a((x * y) \ (z \ (x * y)),y,x) != u | z * L(z \ 1,y,x) = u.
x * L(x \ 1,y,z) = a(z,y,x).
a(x,y,z) = z * L(z \ 1,y,x).
x * y != a((z * u) \ (w \ (z * u)),u,z) | x \ a(z,u,w) = y.
x \ a(y,z,x) = L(x \ 1,z,y).
L(x \ 1,y,z) = x \ a(z,y,x).
L(x,y,a(z,u,x)) = x.
x \ y != L(z,u,a(w,v5,z)) | z \ y = x.
x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x).
x \ y != L(z,u,a(w,v5,z)) | z * x = y.
x * (y * a(z,u,x)) = a(z,u,x) * (x * y).
a(x,y,z) * (z * u) = z * (u * a(x,y,z)).
L(x,y,a(x,z,u)) = x.
x \ y != L(z,u,a(z,w,v5)) | z \ y = x.
x \ 1 = (x * a(x,y,z)) \ a(x,y,z).
(x * a(x,y,z)) \ a(x,y,z) = x \ 1.
x \ y != L(z,u,a(z,w,v5)) | z * x = y.
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 * (y * a(x,z,u)) = (y * x) * a(x,z,u).
(x * y) * a(y,z,u) = y * (x * a(y,z,u)).
x != y * L(y \ 1,z,u) | a((z * u) \ (y \ z),z,u) = x.
a((x * y) \ (z \ x),x,y) = a(y,x,z).
x != (y \ z) * L((y \ z) \ 1,u,w) | y \ (z * L(z \ y,u,w)) = x.
x \ (y * L(y \ x,z,u)) = a(u,z,x \ y).
x != (y \ 1) * L((y \ 1) \ 1,z,u) | y \ L(y,z,u) = x.
x \ L(x,y,z) = a(z,y,x \ 1).
a(x,y,z \ 1) = z \ L(z,y,x).
x \ y != z * L(z \ 1,u,w) | x * a(w,u,z) = y.
(x \ y) * a(z,u,x) = y * L(y \ (x \ y),u,z).
(x * y) * a(z,u,y \ (x \ y)) = y * L(x,u,z).
x * a(y,z,x \ u) = u * L(u \ x,z,y).
x * L(x \ y,z,u) = y * a(u,z,y \ x).
x \ y != L(z \ 1,u,w) | (z \ a(w,u,z)) \ y = x.
(x \ a(y \ z,y,x)) \ z = y * ((y * (x \ 1)) \ z).
x \ y != z \ L(z,u,w) | a(w,u,z \ 1) \ y = x.
a(x,y,z \ 1) \ (z \ 1) = L(z,y,x) \ 1.
x * y != z \ L(z,u,w) | y \ a(w,u,z \ 1) = x.
L(x,y,z) \ a(z,y,x \ 1) = x \ 1.
x \ 1 != y \ a(x,z,u) | x * a(x,z,u) = y.
x \ a(y,z,u) != y \ 1 | y * a(y,z,u) = x.
x \ 1 != L(x,y,z) \ u | a(z,y,x \ 1) = u.
L(x,y,z) \ u != x \ 1 | a(z,y,x \ 1) = u.
(x * y) * a(z,u,x) = x * (y * a(z,u,x)).
x \ y != a(z,u,w) * (w * v5) | x * (w * (v5 * a(z,u,w))) = y.
x * (y * (z * a(x,z,y))) = y * (z * x).
x * y != z * (u * (u \ w)) | x \ (z * w) = y.
(x \ y) \ (z * y) = z * (x * a(x \ y,x,z)).
(x * y) * z != x * (y * a(x,u,w)) | a(x,u,w) = z.
a(x,y,z) = L(a(x,y,z),u,x).
L(a(x,y,z),u,x) = a(x,y,z).
x \ y != a(z,u,w) * (z * v5) | (z * (v5 * a(z,u,w))) \ y = x.
(x * (y * a(x,z,u))) \ (y * (a(x,z,u) * x)) = a(a(x,z,u),x,y).
a(x,y,a(x,z,u)) = 1.
x \ y != 1 | x * a(z,u,a(z,w,v5)) = y.
(x * y) * a(z,u,a(z,w,v5)) = y * x.
x \ (y * L(y \ x,y,z)) != u | a(y \ x,y,z) = u.
a(x \ y,x,z) = a(z,x,y \ x).
x \ L(x,y,z) = a(z,y,x \ z).
a(x,y,z \ x) = z \ L(z,y,x).
a(x,y,z) = a(z,y,(y * x) \ y).
a(x,y,(y * z) \ y) = a(z,y,x).
x != y \ L(y,z,u) | a(u,z,y \ 1) = x.
a(x,y,z \ 1) = a(x,y,z \ x).
a(x,y,(z * (u \ x)) \ 1) = a(x,y,x \ (u * (z \ x))).
x * y != z * a(u,w,z \ v5) | x \ (v5 * L(v5 \ z,w,u)) = y.
x \ (y * L(y \ (z * x),u,x)) = z * a(x,u,(z * x) \ y).
x * L(x \ y,z,u) != y * w | a(u,z,y \ x) = w.
(x \ y) \ (z * y) = z * (x * a(z,x,y \ x)).
x != y * (z * a(y,z,u)) | z * L(y,z,u) = x.
x * L(y,x,z \ x) = (x \ z) \ (y * z).
(x \ y) \ (z * y) = x * L(z,x,y \ x).
x * y != z \ (u * w) | x \ (z \ (w * u)) = y.
x \ ((x \ y) \ (y * z)) = L(z,x,y \ x).
x \ (y * (x * z)) = z * L(y,z,(x * z) \ z).
x \ ((x \ y) \ z) = L(y \ z,x,y \ x).
L(x \ y,z,x \ z) = z \ ((z \ x) \ y).
x \ (y * (x * z)) = z * L(y,z,z \ (x \ z)).
x \ (y * (x * y)) = y * L(y,y,x \ y).
x != y * L(y \ z,u,y) | L(z,u,y) = x.
L(x \ y,z,y) = (x \ y) * a(y,z,x).
(x \ y) * a(y,z,x) = L(x \ y,z,y).
x \ y != (z \ u) * a(u,w,z) | x * L(z \ u,w,u) = y.
x * L(x \ y,z,y) = y * a(y,z,x).
L(x \ y,z,y) != (x \ y) * u | a(y,z,x) = u.
x * y != z * L(z \ x,u,w) | a(w,u,x \ z) = y.
a(x,y,x \ z) = a(x,y,z).
a(x,y,z) = a(x,y,x * z).
a(x,y,x * z) = a(x,y,z).
a(x,y,z \ (z * (x * u))) = a(x,y,u).
L(x * y,z,a(x,u,y)) = x * y.
(x * y) \ (a(x,z,y) * (x * (y * u))) = a(x,z,y) * L(u,y,x).
x \ (y * L(y \ (x * z),u,x)) = z * a(x,u,(z * x) \ y).
x \ (y * L(y \ z,u,x)) != w | y * L(y \ (x \ z),u,x) = w.
x * L(x \ (y \ (y * z)),u,y) = z * a(y,u,(z * y) \ x).
x * L(x \ y,z,u) = y * a(u,z,(y * u) \ x).
x * L(x \ y,z,u) = y * a(u,z,(u * y) \ x).
a(x,y,z \ u) = a(x,y,(x * z) \ u).
a(x,y,(x * z) \ u) = a(x,y,z \ u).
a(x,y,L(z,x,u)) = a(x,y,u \ (u * (x * z))).
a(x,y,z \ (z * (x * u))) = a(x,y,L(u,x,z)).
a(x,y,z \ (z * (x * u))) != w | a(x,y,u) = w.
a(x,y,z) = a(x,y,L(z,x,u)).
a(x,y,L(z,x,u)) = a(x,y,z).
a(x,y,z) = a(x,y,T(z,u)).
a(x,y,T(z,u)) = a(x,y,z).
a(x,y,z * u) = a(x,y,u * z).
(x * y) \ (x * ((y * z) * a(x,u,y))) = a(x,u,y) * L(z,y,x).
(x * y) \ (x * (y * (z * a(x,u,y)))) = a(x,u,y) * L(z,y,x).
L(x * a(y,z,u),u,y) = a(y,z,u) * L(x,u,y).
a(x,y,z) * L(u,z,x) != w | L(u * a(x,y,z),z,x) = w.
a(a(x,y,z),x,u) != w | a(x,a(x,y,z),u) = w.
(x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w).
(x * y) \ ((y * (x * z)) * L((y * (x * z)) \ (y * x),u,w)) = L(z,x,y) * L(L(z,x,y) \ 1,u,w).
(x * y) \ ((y * (z * x)) * L((y * (x * z)) \ (y * x),u,w)) = L(z,x,y) * L(L(z,x,y) \ 1,u,w).
(x * y) \ ((y * (z * x)) * L((y * (z * x)) \ (y * x),u,w)) = L(z,x,y) * L(L(z,x,y) \ 1,u,w).
(x * y) \ ((y * (z * x)) * L((y * (z * x)) \ (x * y),u,w)) = L(z,x,y) * L(L(z,x,y) \ 1,u,w).
(x * y) \ (y * ((z * x) * L((z * x) \ x,u,w))) = L(z,x,y) * L(L(z,x,y) \ 1,u,w).
(x * y) \ (y * ((z * x) * L(x \ (z \ x),u,w))) = L(z,x,y) * L(L(z,x,y) \ 1,u,w).
(x * y) \ (y * (x * (z * L(z \ 1,u,w)))) = L(z,x,y) * L(L(z,x,y) \ 1,u,w).
L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z).
L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5.
L(L(x,L(x,y,z) \ u,w) * L(L(x,L(x,y,z) \ u,w) \ 1,u,w),y,z) = a((u * w) \ (w * (L(x,y,z) \ u)),u,w).
L(L(x * L(x \ 1,y,z),L(x,u,w) \ y,z),u,w) = a((y * z) \ (z * (L(x,u,w) \ y)),y,z).
L(L(a(x,y,z),L(z,u,w) \ y,x),u,w) = a((y * x) \ (x * (L(z,u,w) \ y)),y,x).
L(a(x,y,z),u,w) = a((y * x) \ (x * (L(z,u,w) \ y)),y,x).
a((x * y) \ (y * (L(z,u,w) \ x)),x,y) = L(a(y,x,z),u,w).
a((x * y) \ (y * z),x,y) != u | a((x * y) \ z,x,y) = u.
a((x * y) \ (L(z,u,w) \ x),x,y) = L(a(y,x,z),u,w).
a((x * y) \ (z \ x),x,y) != u | a(y,x,z) = u.
a(x,y,L(z,u,w)) = L(a(x,y,z),u,w).
x != L(a(y,z,u),w,y) | a(y,z,u) = x.
a(x,y,z) = a(x,y,L(z,u,x)).
a(x,y,L(z,u,x)) = a(x,y,z).
x \ y != L(a(z,u,w),v5,v6) | a(z,u,L(w,v5,v6)) * x = y.
a(x,y,L(z,u,w)) * (u * w) = w * (u * a(x,y,z)).
x \ y != L(a(z,u,w),v5,v6) | x * a(z,u,L(w,v5,v6)) = y.
(x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)).
a(x,y,L(x * z,u,w)) = L(a(x,y,z),u,w).
a(x,y,(x * z) \ (x * u)) = a(x,y,z \ u).
x != L(a(y,z,u),w,v5) | a(y,z,L(u,w,v5)) = x.
a(x,y,L(z,u,w)) = a(x,y,L(x * z,u,w)).
a(x,y,L(x * z,u,w)) = a(x,y,L(z,u,w)).
a(x,y,(x * z) \ u) != w | a(x,y,z \ u) = w.
a(x,y,z \ (x * u)) = a(x,y,z \ u).
a(x,y,z \ u) = a(x,y,z \ (x \ u)).
a(x,y,z \ (x \ u)) = a(x,y,z \ u).
a(x \ 1,y,L((z \ x) \ 1,u,w)) = a(x \ 1,y,L(L(z,z,x),u,w)).
a(x \ 1,y,L(L(z,z,x),u,w)) = a(x \ 1,y,L((z \ x) \ 1,u,w)).
(x * y) * z != x * (y * a(u,w,v5)) | a(u,w,L(v5,y,x)) = z.
a(x,y,z) * (x * u) = u * (x * a(x,y,z)).
(x * a(x,y,z)) * u != a(x,y,z) * (x * w) | w = u.
x = L(x,y,a(y,z,u)).
L(x,y,a(y,z,u)) = x.
a(a(x,y,z),x,u) = 1.
a(x,a(x,y,z),u) = 1.
x != 1 | y \ y = x.
x \ x = a(y,a(y,z,u),w).
a(x,a(x,y,z),u) = w \ w.
x * y != a(z,a(z,u,w),v5) | x \ 1 = y.
x \ 1 = L(x,y,z) \ a(x,y,z).
L(x,y,z) \ a(x,y,z) = x \ 1.
a(x,y,z \ 1) = a(z,y,x).
x * a(x,y,z) = L(x,y,z).
L(x,y,z) = x * a(x,y,z).
x \ L(x,y,z) = a(x,y,z).
a(x,y,z) = x \ L(x,y,z).
a(x,y,z \ 1) = a(x * z,y,x).
a(x * y,z,x) = a(x,z,y \ 1).
a(x,y,z \ 1) != u | a(x,y,z \ x) = u.
a(x,y,z \ x) = a(z,y,x).
x \ y != a(z,u,w \ 1) | a(w,u,z) * x = y.
a(x,y,z) * x = L(x,y,z).
L(x,y,z) = a(x,y,z) * x.
a(x,y,z) = a(z \ 1,y,x).
a(x \ 1,y,z) = a(z,y,x).
a(x,y,L(z,z,u)) = a(u \ (z \ u),y,x).
a(x \ (y \ x),z,u) = a(u,z,L(y,y,x)).
a(x,y,z) = a(z \ x,y,x).
a(x \ y,z,y) = a(y,z,x).
L(x,y,z) != x * u | a(x,y,z) = u.
L(x,y,z) != u | x \ u = a(x,y,z).
L(x,y,z) != u | a(x,y,z) = x \ u.
x \ L(x,y,z) != u | u = a(x,y,z).
x \ L(x,y,z) != u | a(x,y,z) = u.
L(x,L(x,y,z),u) = x * a(L(x,y,z),x,u).
x * a(L(x,y,z),x,u) = L(x,L(x,y,z),u).
L(x,y,x * z) = x * a(x,y,z).
L(x,y,L(z,x,u)) = x * a(x,y,z).
L(x,y,z * u) = x * a(x,y,u * z).
x * a(x,y,z * u) = L(x,y,u * z).
L(x,y,L(z,u,x)) = x * a(x,y,z).
a(x,y,z) * (x * u) = u * L(x,y,z).
L(x,y,z \ 1) = x * a(z,y,x).
x \ y != z \ L(z,u,w) | a(z,u,w) \ y = x.
a(x,y,z) \ 1 = L(x,y,z) \ x.
L(x,y,z) \ x = a(x,y,z) \ 1.
a(x,y,z * u) != w | a(x,y,u * z) = w.
a(x,y,z * u) = x \ L(x,y,u * z).
x \ L(x,y,z * u) = a(x,y,u * z).
a(x,y,z) * z = L(z,y,x \ 1).
L(x,y,z \ 1) = a(z,y,x) * x.
x \ y != a(z,a(z,u,w),v5) | y = x.
L(x,a(x,y,z),u) = x.
a(x,y,z) != x \ u | L(x,y,z) = u.
x * a(x,y,z) != u | u = L(x,y,z).
x * a(x,y,z) != u | L(x,y,z) = u.
a(x,y,z) = L(a(x,y,z),a(z,u,w),v5).
L(a(x,y,z),a(z,u,w),v5) = a(x,y,z).
x \ y != a(z,u,w \ z) | a(w,u,z) * x = y.
a(x,y,z) * z = L(z,y,x \ z).
L(x,y,z \ x) = a(z,y,x) * x.
x \ y != a(z,u,w \ z) | x * a(w,u,z) = y.
x * a(y,z,x) = L(x,z,y \ x).
L(x,y,z \ x) = x * a(z,y,x).
(x * a(y,z,u)) \ L(y,z,u) != w | L(x \ y,x,a(y,z,u)) = w.
x * y != a(z \ 1,u,w) | x \ a(w,u,z) = y.
x \ a(x,y,z) = L(x \ 1,y,z \ 1).
L(x \ 1,y,z \ 1) = x \ a(x,y,z).
a(x \ 1,y,L(z,u,w)) = L(a(z,y,x),u,w).
x * y != a(z \ u,w,u) | x \ a(u,w,z) = y.
x \ a(x,y,z) = L(x \ 1,y,z \ x).
L(x \ 1,y,z \ x) = x \ a(x,y,z).
x != a(y,z,u \ 1) | a(u,z,y) = x.
a(x,y,z) = a(z * x,y,z).
a(x * y,z,x) = a(y,z,x).
a(x,y,z) = a(z \ x,y,z).
a(x \ y,z,x) = a(y,z,x).
x != a(y,z,u) | a(u \ 1,z,y) = x.
a(x \ 1,y,z) = a(x \ z,y,x).
x * y != a(z \ u,w,z) | x \ a(u,w,z) = y.
x \ a(y,z,x) = L(x \ 1,z,x \ y).
L(x \ 1,y,x \ z) = x \ a(z,y,x).
x != y * a(y,z,u) | L(y,z,u) = x.
L(x,y,z) = L(x,y,x * z).
L(x,y,x * z) = L(x,y,z).
L(x \ y,z,y) = L(x \ y,z,x).
(x * (L(y,z,u) \ y)) \ 1 = a(y,z,u) * (x \ 1).
x != a(y,z,u) * u | L(u,z,y \ 1) = x.
L(x,y,z \ 1) = L(x,y,z \ x).
x * y != L(x,z,u \ x) | a(u,z,x) = y.
L(x,y,z \ x) != x * u | a(z,y,x) = u.
L(L(x,y,z \ x),u,w) = L(L(x,u,w),y,z \ 1).
a(x,y,z \ 1) != u | a(z,y,x) = u.
a(x,y,z \ x) != u | a(z,y,x) = u.
L(x,y,z) = L(x,y,L(z,u,x)).
L(x,y,L(z,u,x)) = L(x,y,z).
L(x,y,(x * z) \ u) = L(x,y,z \ (x \ u)).
(x \ y) * a(y,z,x) != u | L(x \ y,z,y) = u.
L(x,y,x * z) != u | L(x,y,z) = u.
L(x,y,L(z,x,u)) != w | L(x,y,z) = w.
a(x * y,z,x) != u | a(y,z,x) = u.
L(x,y,z * u) = L(x,y,u * z).
L(x,y,z * u) != w | L(x,y,u * z) = w.
L(x,y,z * (u * w)) = L(x,y,z * (w * u)).
(x \ y) \ (y * a(x,z,u)) = L(x,z,u).
(x * y) * a(y,z,u) = x * L(y,z,u).
(x * y) * a(x,z,u) = y * L(x,z,u).
a(x,y,z) \ (u * L(x,y,z)) = x * u.
(x * y) * z != y * L(x,u,w) | a(x,u,w) = z.
a(x,y,z) = a(z,y,u \ (x \ u)).
a(x,y,z \ (u \ z)) = a(u,y,x).
a(x,y,z) * (x * u) != w | x * (u * a(x,y,z)) = w.
x * (y * a(x,z,u)) = y * L(x,z,u).
x * y != a(z,u,w) * (z * v5) | y \ (z * (v5 * a(z,u,w))) = x.
L(x,y,z) \ (x * (u * a(x,y,z))) = u.
a(x,y,z) * (u \ x) = L(u \ 1,u,x) * L(x,y,z).
L(x \ 1,x,y) * L(y,z,u) = a(y,z,u) * (x \ y).
x \ y != a(z,u,w \ (v5 \ w)) | a(v5,u,z) * x = y.
a(x,y,z) * u = (x \ u) * L((x \ u) \ u,y,z).
(x \ y) * L((x \ y) \ y,z,u) = a(x,z,u) * y.
a(x,y,z \ u) = a(u \ z,y,x).
a(x \ y,z,u) = a(u,z,y \ x).
a(x,y,(z * u) \ (u * (w \ z))) = a(L(w,w \ z,u),y,x).
a(L(x,x \ y,z),u,w) = a(w,u,(y * z) \ (z * (x \ y))).
a((x \ y) \ 1,z,u) = a(y \ x,z,u).
x != a(y,z,u \ w) | a(y,z,u \ (y \ w)) = x.
a(x,y,z \ (x \ u)) = a(u \ z,y,x).
x != a(y,z,u \ w) | u \ (w * L(w \ u,z,y)) = x.
x \ (y * L(y \ x,z,u)) = a(y \ x,z,u).
x != a(y,z,u) | y \ L(y,z,u) = x.
x \ L(x,y,z \ u) = a(u \ z,y,x).
a(x,y,z) != u | a(z * x,y,z) = u.
a(x * (y \ z),u,x) = a(x,u,z \ y).
a(x \ y,z,u) = a(u,z,1 * (y \ x)).
a(x,y,1 * (z \ u)) = a(u \ z,y,x).
a(x \ (y \ x),z,u) = a(u,z,y).
a(L(L(x \ 1,y,z),x,y),u,w) = a(w,u,(z * (x \ y)) \ (y * z)).
(x \ y) * (z * (u * a(z,u,y \ x))) = z * (u * (x \ y)).
L(x,y,(z \ u) \ x) = x * a(x,y,u \ z).
a(x \ y,z,x) != u | a(y,z,x) = u.
x != a(y,z,u) | a(u \ y,z,u) = x.
a(x \ y,z,x) = a(u \ (x \ u),z,y).
a(x \ (y \ x),z,u) = a(y \ u,z,y).
a(x \ 1,y,z) != u | a(z,y,x) = u.
a(x,y,z) \ 1 = a(z,y,x).
L(a(x,y,z),a(u,w,z),v5) = a(x,y,z).
a(x,y,z) \ 1 != u | L(x,y,z) \ x = u.
L(x,y,z) \ x = a(z,y,x).
a(x,y,z) = L(z,y,x) \ z.
x \ y != a(z,u,w) \ 1 | a(w,u,z) \ y = x.
a(x,y,z) \ z = L(z,y,x).
L(x,y,z) = a(z,y,x) \ x.
x \ y != a(z,u,w) \ 1 | x * a(w,u,z) = y.
L(x,y,z) * a(z,y,x) = x.
(a(x,y,z) * u) \ 1 = a(z,y,x) * (u \ 1).
(x \ 1) * a(y,z,u) = (x * a(u,z,y)) \ 1.
(x * a(y,z,u)) \ 1 = (x \ 1) * a(u,z,y).
a(x,y,a(z,u,w)) = a(z,u,w) * L(a(w,u,z),y,x).
a(x,y,z) * L(a(z,y,x),u,w) = a(w,u,a(x,y,z)).
a(x,y,a(z,u,w)) = a(a(w,u,z),y,x).
a(a(x,y,z),u,w) = a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) != v5 | a(a(w,u,z),y,x) = v5.
a(a(x,y,z),u,w) != v5 | a(w,u,a(z,y,x)) = v5.
x \ y != L(z,u,w) \ z | a(w,u,z) * x = y.
a(x,y,z) * (u \ z) = z * ((u * L(z,y,x)) \ z).
x * ((y * L(x,z,u)) \ x) = a(u,z,x) * (y \ x).
x \ y != a(z \ u,w,u) | a(u,w,z) \ y = x.
a(x,y,z) \ x = L(x,y,z \ x).
L(x,y,z \ x) = a(x,y,z) \ x.
x != a(y,z,u \ 1) \ (u \ 1) | L(u,z,y) \ 1 = x.
L(x,y,z) \ 1 = L(x \ 1,y,z).
L(x \ 1,y,z) = L(x,y,z) \ 1.
L(x,y,z) != u \ x | a(z,y,x) = u.
L(x,y,z) \ x != u | a(z,y,x) = u.
L(L(x,y,z) \ 1,u,w) = L(L(x \ 1,u,w),y,z).
L(L(x \ 1,y,z),u,w) = L(L(x,u,w) \ 1,y,z).
L(x \ 1,y,z) \ (u \ 1) = (L(x,y,z) \ u) \ 1.
(x * L(x,y,z)) \ 1 = x \ L(x \ 1,y,z).
(x * y) \ ((x * z) * L((z \ y) \ 1,z,x)) = (x * z) * (((x * y) * (x * y)) \ (x * z)).
x \ a(x,y,z) != L(u,y,z \ 1) | x \ 1 = u.
L(x,y,z \ 1) != u \ a(u,y,z) | u \ 1 = x.
L(x,y,z) * (x \ u) = u * a(x,y,z).
(x \ y) \ (y * a(z,u,x)) = L(x,u,z \ 1).
(x \ L(y,z,x)) \ y = L(x,z,y).
L(x,y,z) * a(x,u,w) = a(x,y,z) * L(x,u,w).
a(x,y,z) * L(x,u,w) = L(x,y,z) * a(x,u,w).
x * a(L(y,y \ x,x),z,u) = ((x \ y) \ 1) * L(L(y,y \ x,x),z,u).
((x \ y) \ 1) * L(L(y,y \ x,x),z,u) = x * a(L(y,y \ x,x),z,u).
L(x,y,z) * u = x * (u * a(x,y,z)).
x * (y * a(x,z,u)) = L(x,z,u) * y.
(x \ 1) * (y * a(z,u,x)) = y * L(x \ 1,u,z).
L(x,y,z \ x) \ (x * (u * a(z,y,x))) = u.
a(x \ y,z,u) != w | a(u,z,y \ x) = w.
a(x,y,z \ u) != w | a(u \ z,y,x) = w.
a((x \ y) \ z,u,x) = a(y \ z,u,x).
a(x \ (y \ x),z,u) != w | a(u,z,y) = w.
a(x,y,z) \ (u \ 1) = (a(x,y,z) * u) \ 1.
(a(x,y,z) * u) \ 1 = a(x,y,z) \ (u \ 1).
x \ y != a(z,u,a(w,v5,v6)) | x * a(a(v6,v5,w),u,z) = y.
x * a(a(y,z,u),w,v5) = x * a(v5,w,a(u,z,y)).
x * y != L(z,u,w) * (z \ (L(z,u,w) \ v5)) | y \ (z \ v5) = x.
a(x,y,z) \ (x \ u) = L(x,y,z) \ u.
L(x,y,z) * L(u,x,x) = ((x \ 1) \ u) * a(x,y,z).
x \ y != L(z,u,w * z) \ (u * (w * z)) | (u * L(w,z,u)) \ y = x.
(x * L(y,z,x)) \ (z \ (x * (y * z))) = a(z,x,y * z).
a(x,y,z) = a(x,y,L(z,z,u)).
a(x,y,L(z,z,u)) = a(x,y,z).
x \ L(x,y,z) = a(x,y,L(z,z,u)).
a(x,y,L(z,z,u)) = x \ L(x,y,z).
L(x,y,L(z,z,u)) = L(x,y,z).
L(x,y,(z \ u) \ 1) = L(x,y,u \ z).
L(x,y,z \ 1) != u | L(x,y,z \ x) = u.
L(x,y,(z \ u) \ x) = L(x,y,u \ z).
L(x,y,(z \ 1) \ 1) = L(x,y,z).
L(x,y,z \ 1) = L(x,y,u \ (z \ u)).
L(x,y,z \ (u \ z)) = L(x,y,u \ 1).
L(x,y,(z \ 1) \ (u \ 1)) = L(x,y,u \ z).
L(x,y,(z * L(z,z,u \ z)) \ 1) = L(x,y,(z * (u * z)) \ u).
L(x,y,z \ x) = L(x,y,u \ (z \ u)).
L(x,y,z \ (u \ z)) = L(x,y,u \ x).
x \ (y * (x * z)) = z * L(y,z,x \ 1).
L(x,y,z * (u * w)) != v5 | L(x,y,z * (w * u)) = v5.
a(x,y,z * (u * w)) != v5 | a(x,y,z * (w * u)) = v5.
a(L(x * (y \ z),y,x),u,w) != v5 | a(w,u,(x * L(z,x,y)) \ y) = v5.
a((x * y) \ y,z,u) != w | a(u,z,x) = w.
a((x * L(x \ y,x,z)) \ z,u,w) != v5 | a(w,u,x * ((x * z) \ y)) = v5.
a(x \ y,z,y) != u | a(y,z,x) = u.
a(x,y,x \ z) != u | a(x,y,z) = u.
a(x,y,(z * (u \ x)) \ 1) != w | a(x,y,u * (z \ x)) = w.
(x * L(y,x,L(z \ 1,z,u) \ 1)) * (u \ (z \ u)) = y * (L(z \ 1,z,u) * x).
x \ (y * z) = (x \ y) * L(z,x \ y,x \ 1).
(x \ y) * L(z,x \ y,x \ 1) = x \ (y * z).
a(x,y,z * x) != u | a(x,y,z) = u.
a(L(x,y,z),u,w) = L(a(x,u,w),y,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)).
x \ y != L(a(z,u,w),v5,v6) | a(L(z,v5,v6),u,w) * x = y.
a(L(x,y,z),u,w) * (y * z) = z * (y * a(x,u,w)).
a(x,y,L(z,u,w)) = a(z,y,L(x \ 1,u,w)).
a(x,y,L(z \ 1,u,w)) = a(z,y,L(x,u,w)).
a(x,L(x,y,z),u) = a(x,x,L(u,y,z)).
x \ y != a(z,u,L(w,v5,v6)) | x * a(L(z,v5,v6),u,w) = y.
x * a(L(x,y,z),u,w) = L(x,u,L(w,y,z)).
a(x \ y,z,u) = a((x \ 1) * y,z,L(u,x,x)).
a((x \ 1) * y,z,L(u,x,x)) = a(x \ y,z,u).
a(L(x,y,z),u,w) = a(x,u,L(w,y,x * z)).
a(x,y,L(z,u,x * w)) = a(L(x,u,w),y,z).
x * a(L(x,y,z),u,w) != v5 | L(x,u,L(w,y,z)) = v5.
a(x,y,L(z \ 1,u,w)) != v5 | a(z,y,L(x,u,w)) = v5.
L(x,y,z * (u * (w * v5))) = L(x,y,z * (u * (v5 * w))).
x \ (y * (z * ((y * z) \ x))) = a((y * z) \ x,z,y).
L(x,y,(z \ u) \ x) != w | L(x,y,u \ z) = w.
a(x,y,z) * (u \ 1) != w \ 1 | a(z,y,x) * u = w.
x \ 1 != a(y,z,u) * (w \ 1) | a(u,z,y) * w = x.
(x * a(y,z,u)) \ 1 = (x \ 1) * L(a(u,z,y),a(w,v5,y),v6).
(x \ 1) * L(a(y,z,u),a(w,v5,u),v6) = (x * a(u,z,y)) \ 1.
L(x,y,z \ x) \ (x * L(a(z,y,x),u,w \ a(z,y,x))) = a(w,u,a(z,y,x)).
a(x,y,L(L(z,u,w),z,v5)) = a(v5 \ (z \ v5),y,L(x,u,w)).
a(x \ (y \ x),z,L(u,w,v5)) = a(u,z,L(L(y,w,v5),y,x)).
a(L(x,y,z),u,w) != v5 | a(x,u,L(w,y,z)) = v5.
a(x,y,L(L(z \ 1,u,w),v5,v6)) = a(z,y,L(L(x,v5,v6),u,w)).
x * a(y,z,u) != w | L(y,z,u) * (y \ x) = w.
L(L(x,y,z),u,w) * (L(x,y,z) \ x) = L(x,u,L(w,y,z)).
L(x,y,z) * L(x,u,L(w,y,z)) = x * L(L(x,y,z),u,w).
x != a(L(y,z,u),w,v5) | a(y,w,L(v5,z,u)) = x.
a(x,y,L(z,u,w)) = a(x,y,L(z,u,x * w)).
a(x,y,L(z,u,x * w)) = a(x,y,L(z,u,w)).
L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5.
L(x,y,(z \ u) \ 1) != w | L(x,y,u \ z) = w.
x != L(L(y,z,z \ u),z,z) | u \ ((z \ u) * ((z \ 1) \ y)) = x.
x \ (((y \ 1) \ x) * (((y \ 1) \ 1) \ z)) = L(L(z,y \ 1,y \ z),y \ 1,(y \ 1) \ x).
L(L(x,y \ 1,y \ x),y \ 1,(y \ 1) \ z) = z \ (((y \ 1) \ z) * (((y \ 1) \ 1) \ x)).
x * y != (z \ x) * L((z \ x) \ x,u,w) | a(z,u,w) = y.
(x \ y) * L((x \ y) \ y,z,u) != y * w | a(x,z,u) = w.
(x * ((y * L(x,z,u)) \ x)) \ 1 = a(u,z,x) \ ((y \ x) \ 1).
x * y != z * L(u \ 1,u,w) | x \ (z * (w \ (u \ w))) = y.
(x \ 1) \ (y * (z \ (x \ z))) = y * a(z,x,x).
a(x,y,z) * a(z,y,L(x,u,w)) = a(w,u,a(x,y,z)).
L(x,y,z * (u * (w * v5))) != v6 | L(x,y,z * (u * (v5 * w))) = v6.
L(x,L(x,y,z),u) != w | L(x,x,L(u,y,z)) = w.
x \ y != a((z * u) \ x,u,z) | u * ((u * z) \ (z * x)) = y.
x * ((x * y) \ (y * z)) = y * (x * ((y * x) \ z)).
x != a(y,z,a(u,w,v5)) | a(a(v5,w,u),z,y) = x.
a(a(x,y,z),u,w) = a(z,y,x) * a(x,y,L(z,u,w)).
a(x,y,z) * a(z,y,L(x,u,w)) = a(a(z,y,x),u,w).
a(x,y,z) * a(z,y,L(x,u,w)) != v5 | a(a(z,y,x),u,w) = v5.
a(x,y,z) * a(z,y,L(x,u,w)) != v5 | a(w,u,a(x,y,z)) = v5.
L(x * y,z,x) \ (z \ (x * (y * z))) = a(z,x,y * z).
L(x * y,z,x) \ (z \ (x * (y * z))) != u | a(z,x,y) = u.
a(x,y,L(z,x \ u,w)) = a(z,y,(u * w) \ (w * (x \ u))).
(x \ y) * (z * L(u,z,y \ x)) = u * (z * (x \ y)).
(x \ 1) * (y * L(z,y,x)) = z * (y * (x \ 1)).
(x * (y \ 1)) * z != (y \ 1) * (x * L(u,x,y)) | u = z.
x = L(L(x,y,z),y,z \ 1).
L(L(x,y,z),y,z \ 1) = x.
x \ 1 = L(x \ a(x,y,z),y,z).
L(x \ a(x,y,z),y,z) = x \ 1.
L(L(x,y,z),u,w \ 1) != v5 | L(L(x,u,w \ x),y,z) = v5.
L(L(x,y,z \ x),y,z) = x.
L(x,y,z \ 1) != L(L(u,y,z \ u),w,v5) | L(u,w,v5) = x.
L(x,y,z) = L(L(L(x,u,w \ x),y,z),u,w).
L(L(L(x,y,z \ x),u,w),y,z) = L(x,u,w).
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(y,z,u \ 1) | L(x,z,u) = y.
L(x,y,z \ 1) != u | L(u,y,z) = x.
L((x * y) \ z,x,y \ 1) = x \ (y \ z).
x != L(y,z,u) | L(x,z,u \ 1) = y.
L(x,y,z) != u | L(u,y,z \ 1) = x.
L((x * y) \ (y * z),y,z \ 1) = y \ (x \ (y * z)).
L(x,y,z) = L(L(L(x,y,z),u,w \ x),u,w).
L(L(L(x,y,z),u,w \ x),u,w) = L(x,y,z).
L(L(L(x,y,z \ x),u,w \ L(x,y,z \ x)),y,z) = L(x,u,w \ 1).
L(x,y,a(z,u,w)) != v5 | L(v5,y,a(w,u,z)) = x.
a(x * (y \ z),u,z) != w | a(z,u,y * (x \ z)) = w.
a(L(x,y,z),u,w) = a(x,u,L(L(w,y,z),w,v5)).
a(x,y,L(L(z,u,w),z,v5)) = a(L(x,u,w),y,z).
a(x,y,L(L(z,u,w),z,v5)) != v6 | a(x,y,L(z,u,w)) = v6.
a(x,y,L(L(z,z,u),w,v5)) != v6 | a(x,y,L(z,w,v5)) = v6.
L(x,y,L(z,u,w)) \ 1 = a(x,u,w) * (L(L(x,u,w),y,z) \ 1).
a(x,y,z) * (L(L(x,y,z),u,w) \ 1) = L(x,u,L(w,y,z)) \ 1.
a(x,y,z) \ u = u * a(z,y,x).
x = (a(y,z,u) * x) * a(u,z,y).
(a(x,y,z) * u) * a(z,y,x) = u.
x = (x * a(y,z,u)) * a(u,z,y).
(x * a(y,z,u)) * a(u,z,y) = x.
x \ y != (z * u) * a(z,w,v5) | (u * L(z,w,v5)) * x = y.
(x * L(y,z,u)) * a(u,z,y) = y * x.
x \ y != (z * u) * a(u,w,v5) | (z * L(u,w,v5)) * x = y.
(x * L(y,z,u)) * a(u,z,y) = x * y.
a(x,y,z) \ (x \ u) != w | L(x,y,z) \ u = w.
L(x,y,z) \ u = (x \ u) * a(z,y,x).
(x \ y) * a(z,u,x) = L(x,u,z) \ y.
x * y != a(z,u,w) \ (z \ v5) | y \ (L(z,u,w) \ v5) = x.
a(x,y,z) \ (L(z,y,x) \ u) = z \ u.
L((x \ y) * a(z,u,w),a(w,u,z),x) = (x * a(w,u,z)) \ y.
(L(x,y,z) \ x) \ u = u * a(x,y,z).
a(x,y,z * a(u,w,v5)) != v6 | a(z \ a(v5,w,u),y,x) = v6.
a(x,y,L(z,u,w)) \ v5 = v5 * a(z,y,L(x,u,w)).
a(x,y,z) * u != w | a(z,y,x) * w = u.
a(x,y,z) * a(u,w,a(z,y,x)) = a(x,y,L(z,w,u)).
a(x,y,z) \ u != w | u * a(z,y,x) = w.
a(x,y,z) * u != w | w * a(z,y,x) = u.
L(x,y,z) \ (x * u) = u * a(z,y,x).
x * y = L(x,z,u) * (y * a(u,z,x)).
L(x,y,z) * (u * a(z,y,x)) = x * u.
a(x \ a(y,z,u),w,v5) != v6 | a(v5,w,x * a(u,z,y)) = v6.
x * y != (z * a(u,w,v5)) * a(v5,w,u) | x \ z = y.
(a(x,y,z) * L(u * a(z,y,x),w,v5)) \ u = a(v5,w,u * a(z,y,x)).
(x * L(x \ y,z,u)) \ y = a(u,z,x \ y).
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,y) = L(x,z,y) \ y.
a(x,y,z) * (z \ u) = L(z,y,x) \ u.
x * y != z \ (z * u) | y \ u = x.
a(x,y,z) \ u = z \ (L(z,y,x) * u).
x \ (L(x,y,z) * u) = a(z,y,x) \ u.
x * y != (z \ u) * a(w,v5,z) | x \ (L(z,v5,w) \ u) = y.
x \ (L(y,z,u) \ x) = L(x \ (y \ x),z,u).
L(x \ (y \ x),z,u) = x \ (L(y,z,u) \ x).
a(x,y,z) * a(u,w,z * y) = L(z * y,w,u) \ (x \ (z * (y * x))).
L(x * y,z,u) \ (w \ (x * (y * w))) = a(w,y,x) * a(u,z,x * y).
((x \ 1) \ y) * a(x,z,u) = L(x \ 1,z,u) \ y.
x != L(y,z,z) \ z | z * (((z \ 1) \ y) \ z) = x.
x * (((x \ 1) \ y) \ x) = L(y \ x,x,x).
x \ y != L(z \ u,w,u) | L(z \ u,w,z) \ y = x.
L(x \ y,z,x) \ y = L(x,z,y).
x \ y != z \ L(z,u,w) | x * a(z,u,w) = y.
a(x,y,z) * a(z,u,w) = L(z,y,x) \ L(z,u,w).
L(x,y,z) \ L(x,u,w) = a(z,y,x) * a(x,u,w).
x \ y != a(z,u,w) \ v5 | x * (v5 * a(w,u,z)) = y.
a(x,y,a(z,u,w)) * (v5 * a(w,u,z)) = L(a(z,u,w),y,x) \ v5.
(x * a(y,z,u)) \ (x * u) = L(u,z,y).
L(L(x,y,z),u * a(z,y,x),w) = (w * (u * a(z,y,x))) \ (w * (x * u)).
a(x,y,z) * (x \ u) = L(x,y,z \ x) \ u.
L(x,y,z \ x) \ u = a(x,y,z) * (x \ u).
a(x,y,L(z,u,w)) = a(x,y,a(w,u,z) \ z).
a(x,y,a(z,u,w) \ w) = a(x,y,L(w,u,z)).
(x * a(y,z,u)) \ (x * y) = L(y,z,u \ 1).
(x * a(y,z,L(u,w,v5))) \ (x * u) = L(u,z,L(y,w,v5)).
x * y != L(z,u,x) | L(x \ z,u,x) = y.
L(x \ (y \ x),x,x) = ((x \ 1) \ y) \ x.
(x \ 1) * ((x \ y) \ (x \ 1)) = L(y \ (x \ 1),x \ 1,x \ 1).
L(x \ (y \ 1),y \ 1,y \ 1) = (y \ 1) * ((y \ x) \ (y \ 1)).
x * y != L(z \ (u \ z),z,z) | x \ (((z \ 1) \ u) \ z) = y.
x \ (((x \ 1) \ y) \ x) = (x * x) \ (y \ x).
(x * ((y * x) \ (y * z))) \ z = a(y,x,x \ z).
L(x \ y,z,u) = x \ (L(y \ x,z,u) \ x).
x \ (L(y \ x,z,u) \ x) = L(x \ y,z,u).
L(L(x,y,z),u,w \ L(x,y,z)) \ (z * (x * y)) = a(L(x,y,z),u,w) * (y * z).
x != a(y,y \ z,u) | (u * (y \ z)) \ (y \ (u * z)) = x.
(((x \ y) \ z) * (x \ y)) \ (x \ (((x \ y) \ z) * y)) = ((x \ y) * ((x * (x \ y)) \ (x * z))) \ z.
x \ y != (z * u) * a(w,v5,L(v6,u,z)) | (z * (u * a(w,v5,v6))) \ y = x.
(x * (y * a(z,u,w))) \ (x * y) = a(w,u,L(z,y,x)).
((x \ 1) \ y) * a(x,z,u) != w | L(x,z,u) * L(y,x,x) = w.
L(x,y,z) * L(u,x,x) = L(x \ 1,y,z) \ u.
L(x,y,z) * L(u,x,x) != w | L(u * L(x,y,z),x,x) = w.
L(x * L(y,z,u),y,y) = L(y \ 1,z,u) \ x.
x != L(y,z,u) | L(y \ u,z,y) \ u = x.
L(x \ L(y,z,u),w,x) \ L(y,z,u) = (v5 * a(y,w,L(x,z,u))) \ (v5 * x).
a(x,y,L(L(z \ 1,z,u),u,w)) != v5 | a(x,y,(u * w) \ (w * (z \ u))) = v5.
a(x,y,(z * u) \ (u * (w \ z))) = a(w,y,L(L(x,z,u),w,z)).
a(x,y,L(L(z,u,w),x,u)) = a(z,y,(u * w) \ (w * (x \ u))).
a(x,y,L(z \ a(z,u,w),v5,v6)) = a(z,y,L(L(x,v5,v6),u,w \ 1)).
a(x,y,L(L(z,u,w),v5,v6 \ 1)) = a(z,y,L(x \ a(x,v5,v6),u,w)).
a(x,y,L(z,x,u)) != w | a(x,y,z) = w.
a(x,y,L(z,u,w)) = a(z,y,(u * w) \ (w * (x \ u))).
a(x,y,(z * u) \ (u * (w \ z))) = a(w,y,L(x,z,u)).
a(x,y,(z * u) \ (u * (w \ z))) != v5 | a(w,y,L(x,w \ z,u)) = v5.
a(x,y,L(z,x \ u,w)) = a(x,y,L(z,u,w)).
L(x,y,z \ L(z \ 1,z,u \ z)) = L(x,y,(z * (u * z)) \ u).
L(x,y,(z * (u * z)) \ u) = L(x,y,z \ L(z \ 1,z,u \ z)).
a(x,y,z) * L(L(z,y,x),u,w) = L(z,u,L(w,y,x)).
a(x,y,z) * L(L(z,u,w),y,x) = L(z,u,L(w,y,x)).
a(x,y,z) * L(x,u,L(w,y,z)) = L(L(x,u,w),y,z).
x * y != a(z,u,w) * L(z,v5,L(v6,u,w)) | x \ L(L(z,v5,v6),u,w) = y.
L(x,y,z) \ L(L(x,u,w),y,z) = a(x,u,L(w,y,z)).
a(x,y,a(z,u,w)) * (v5 * a(w,u,z)) = a(z,u,L(w,y,x)) \ v5.
L(x,y,z \ (u \ (u \ z))) = L(x,y,u \ L(u \ 1,u,z \ u)).
L(x,y,z \ L(z \ 1,z,u \ z)) = L(x,y,u \ (z \ (z \ u))).
x != a(y,z,L(u,w,v5)) \ v6 | v6 * a(u,z,L(y,w,v5)) = x.
x * a(y,z,L(u,w,v5)) = a(v5,w,a(u,z,y)) * (x * a(y,z,u)).
a(x,y,a(z,u,w)) * (v5 * a(w,u,z)) = v5 * a(w,u,L(z,y,x)).
L(x,y,z \ (z \ a(z,z,u))) = L(x,y,u \ (z \ (z \ u))).
L(x,y,z \ (u \ (u \ z))) = L(x,y,u \ (u \ a(u,u,z))).
x * y != z * a(u,w,z) | y \ L(z,w,u \ z) = x.
(L(x,y,z) * a(u,w,x)) \ L(L(x,y,z),w,u \ L(x,y,z)) = a(z,y,a(x,w,u)).
a(L(x \ 1,y,z),u,L(w,x,y)) = a(w,u,(z * (x \ y)) \ (y * z)).
a(x \ 1,y,L(L(z,x,u),u,w)) = a(z,y,(w * (x \ u)) \ (u * w)).
a(L(L(x,y,z),z,u),w,y) = a(x,w,(u * (y \ z)) \ (z * u)).
a(L(x,y,z),u,L(y,z,w)) = a(x,u,(w * (y \ z)) \ (z * w)).
a(x,y,L(L(z,u,w),z,u)) = a(x,y,(w * (z \ u)) \ (u * w)).
a(x,y,L(z,u,w)) = a(x,y,(w * (z \ u)) \ (u * w)).
a(x,y,(z * (u \ w)) \ (w * z)) = a(x,y,L(u,w,z)).
a((x * y) \ (y * (z \ x)),u,w) = a(w,u,L(z,x,y)).
x != a(y,z,L(u \ 1,w,v5)) | a(u,z,L(y,w,v5)) = x.
a(x \ y,z,L(y \ 1,u,w)) = a(y \ 1,z,L(L(x,x,y),u,w)).
a(x \ 1,y,L(L(z,z,x),u,w)) = a(z \ x,y,L(x \ 1,u,w)).
a(x,y,L(z \ x,u,w)) = a(x \ 1,y,L(L(z,z,x),u,w)).
a(x \ 1,y,L(L(z,z,x),u,w)) = a(x,y,L(z \ x,u,w)).
a(x \ 1,y,L(z,u,w)) = a(x,y,L(z \ x,u,w)).
a(L(x,y,z),u,w) = a(w,u,L(x \ w,y,z)).
a(x,y,L(z \ x,u,w)) = a(L(z,u,w),y,x).
a(x,y,L(z,u,w)) = a(z,y,L(x \ z,u,w)).
a(x,y,L(z \ x,u,w)) = a(z,y,L(x,u,w)).
x \ y != a(z,u,L(w \ z,v5,v6)) | x * a(w,u,L(z,v5,v6)) = y.
x * a(y,z,L(x,u,w)) = L(x,z,L(y \ x,u,w)).
L(x,y,L(z \ x,u,w)) = x * a(z,y,L(x,u,w)).
a(x,y,z) = a(x,z,y) * a(y,x,y * z).
a(x,y,z) * a(z,x,z * y) = a(x,z,y).
a(x,y,z) * a(z,x,y) = a(x,z,y).
a(x,y,z) * a(y,z,x) = a(y,x,z).
a(x,y,z) * a(z,u,w) != v5 | L(z,y,x) \ L(z,u,w) = v5.
L(x,y,z) \ L(x,z,y) = a(z,x,y).
a(x,y,z) = L(y,z,x) \ L(y,x,z).
x \ y != a(z,u,w) * a(w,z,u) | a(z,w,u) * x = y.
a(x,y,z) * L(y,z,x) = L(y,x,z).
a(x,y,z) != u \ L(y,x,z) | L(y,z,x) = u.
x \ L(y,z,u) != a(z,y,u) | L(y,u,z) = x.
a(x,y,z) * L(y,z,x) != u | L(y,x,z) = u.
L(x * a(y,x,z),z,y) = L(x,y,z).
L(L(x,y,z),z,y \ 1) = x * a(y,x,z).
L(x * a(y,x,z \ u),y,u \ z) = L(x,u \ z,y).
L(x,y,x * a(z,x,u)) = x.
L(x * a(y,x,z),y,z \ 1) = L(x,z,y \ 1).
x * y != L(x,z,x * a(u,x,w)) | 1 = y.
1 = a(x,y,a(z,x,u)).
a(x,y,a(z,x,u)) = 1.
L(a(x,y,z),u,y) = a(x,y,z).
a(x,y,L(z,u,y)) = a(x,y,z).
(x * a(y,z,u)) \ (x * u) = L(u,z,L(y,w,z)).
L(x,y,L(z,u,y)) = (w * a(z,y,x)) \ (w * x).
L(x * a(y,x,z),z,y) != u | L(x,y,z) = u.
L(x * a(y,x,z),y \ z,y) != u | L(x,y,y \ z) = u.
L(x * a(y,x,z \ u),y,u \ z) = L(x,z \ u,y \ 1).
x != (y * a(z,u,w)) \ (y * w) | L(w,u,z) = x.
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,(y * z) \ u) = L(x,y,z \ (y \ u)).
L(x,y,(z * y) \ u) = L(x,y,z \ (y \ u)).
L(x * a(y,x,z \ u),y,u \ z) != w | L(x,u \ z,y) = w.
L(x,y \ z,u) = L(x,z \ y,u \ 1).
L(x,y \ z,u \ 1) = L(x,z \ y,u).
x != L(y,z,u) | L(y,z,y * u) = x.
L(x,y \ z,x * u) = L(x,z \ y,u \ 1).
L(x,y \ z,u \ 1) = L(x,z \ y,x * u).
L(x,y \ z,u \ x) = L(x,z \ y,u).
L(x,y,z \ 1) = L(x,y \ 1,z).
L(x,y \ 1,z) = L(x,y,z \ 1).
L(x,y \ 1,z \ 1) = L(x,y,z).
L(x,y,z \ 1) = L(x,u \ (y \ u),z).
L(x,y \ (z \ y),u) = L(x,z,u \ 1).
(x \ y) * L(z,y \ x,x) = x \ (y * z).
a(x,y,L(z,u \ x,w)) = a(x,y,L(z,u,w \ 1)).
x != L(y,z,u \ 1) | L(y,z,w \ (u \ w)) = x.
L(x,y,z \ (u \ z)) = L(x,y \ 1,u).
x != L(y,z \ u,w \ 1) | L(y,u \ z,w) = x.
L(x,y \ z,u) = L(x,(z \ y) \ 1,u).
L(x,(y \ z) \ 1,u) = L(x,z \ y,u).
x != L(L(y,z,u),z,u \ 1) | y = x.
x = L(L(x,y,z),y \ 1,z).
L(L(x,y,z),y \ 1,z) = x.
x != L(y,z,(u \ w) \ 1) | L(y,z,w \ u) = x.
L(x,y,z \ u) = L(x,y \ 1,u \ z).
L(x,y \ 1,z \ u) = L(x,y,u \ z).
x != L(y,z,u) | a(u,z,y) \ y = x.
a(x \ 1,y,z) \ z = L(z,y \ 1,x).
x != L(y \ 1,z,u \ 1) | y \ a(y,z,u) = x.
x \ a(x,y,z) = L(x \ 1,y \ 1,z).
L(x \ 1,y \ 1,z) = x \ a(x,y,z).
x != L(y,z,u \ 1) | a(u,z,y) * y = x.
a(x,y,z) * z = L(z,y \ 1,x).
L(x,y \ 1,z) = a(z,y,x) * x.
x \ y != L(z,u \ 1,w) | L(z,u,w \ 1) \ y = x.
L(x,x,y \ 1) \ y = y * (x \ 1).
L(x,y \ 1,z \ u) != w | L(x,y,u \ z) = w.
L(L(L(x,y,z \ x),u,w),y,z) != v5 | L(x,u,w) = v5.
L(x,y,z) = L(x,y \ 1,z \ x).
L(x,y \ 1,z \ x) = L(x,y,z).
x * y != L(z,u \ 1,w \ 1) | x \ L(z,u,w) = y.
(x \ 1) \ L(y \ (x \ 1),x,x) = (x \ y) \ (x \ 1).
x * y != L(x,z \ 1,u) | a(u,z,x) = y.
a(x,y,z) = a(z,y \ 1,x).
a(x,y \ 1,z) = a(z,y,x).
a(x,y,z) * a(a(z,y,x),u,w) = a(x,y,L(z,u \ 1,w)).
x * (y \ 1) != z \ x | L(y,y,x \ 1) = z.
x \ y != y * (z \ 1) | L(z,z,y \ 1) = x.
L(x,y \ (z * (u \ z)),w \ x) = L(x,z \ ((y \ z) \ u),w).
a(x,y,L(z,u \ 1,w)) = a(x,y,L(z,u,w \ 1)).
(x \ y) * L(L(z,y \ x,x),u,w) = x \ (y * L(z,u,w)).
(x \ y) * a(z,u,L(w,y \ x,x)) = x \ (y * a(z,u,w)).
L(x,y \ z,u \ 1) != w | L(x,z \ y,u) = w.
L(x,y \ z,u \ x) != w | L(x,z \ y,u) = w.
L(x,y * a(z,u,w),v5 \ 1) != v6 | L(x,y \ a(w,u,z),v5) = v6.
L(x,y \ z,u) != w | L(x,z \ y,u \ x) = w.
a(x,y,L(L(z,u,w),u \ x,w)) = a(x,y,z).
(x \ 1) \ L(y,z,x) != u | L((x \ 1) \ y,z,x) = u.
L((x \ 1) \ (y \ (x \ 1)),x,x) = (x \ y) \ (x \ 1).
x \ y != L((z \ 1) \ (u \ (z \ 1)),z,z) | x * ((z \ u) \ (z \ 1)) = y.
x * ((x \ y) \ (x \ 1)) = (x \ 1) \ ((x \ 1) \ (y \ (x \ 1))).
(x \ 1) \ ((x \ 1) \ (y \ (x \ 1))) = x * ((x \ y) \ (x \ 1)).
L(x,(y * (z \ y)) \ u,w) = L(x,y \ ((u \ y) \ z),w).
(x \ 1) \ ((x \ 1) \ ((y * x) \ (x \ 1))) != z | L(y \ 1,y * x,x \ 1) = z.
L(x \ 1,x * y,y \ 1) = y * ((y \ (x * y)) \ (y \ 1)).
L(x \ 1,x * y,y \ 1) = y * (x \ (y \ 1)).
x \ y != L(z \ 1,z * u,u \ 1) | x * (u * (z \ (u \ 1))) = y.
(x \ 1) * (x * (y \ (x \ 1))) = (x \ 1) \ ((y * x) \ (x \ 1)).
(x \ 1) \ ((y * x) \ (x \ 1)) = (x \ 1) * (x * (y \ (x \ 1))).
x != (y \ 1) * (y * z) | L(z,y,y \ 1) = x.
L(x \ (y \ 1),y,y \ 1) = (y \ 1) \ ((x * y) \ (y \ 1)).
(x \ 1) \ ((y * x) \ (x \ 1)) = L(y \ (x \ 1),x,x \ 1).
(x \ 1) \ ((x * y) \ (x \ 1)) = L(y \ (x \ 1),x,x \ 1).
((x \ y) \ 1) * L(L(y,y \ x,x),z,u) != w | (x \ y) \ L(y,z,u) = w.
(x \ y) \ L(y,z,u) = x * a(L(y,y \ x,x),z,u).
x * a(L(y,y \ x,x),z,u) = (x \ y) \ L(y,z,u).
x * a(y,z,L(u,y \ x,x)) = (x \ y) \ L(y,z,u).
x * a(y,z,L(u,x,x)) = (x \ y) \ L(y,z,u).
(x \ y) \ L(y,z,u) = x * a(y,z,L(u,x,x)).
(x \ y) \ L(y,z,u) != x * w | a(y,z,L(u,x,x)) = w.
x * a(y,z,L(u,x,x)) != (x \ y) \ w | L(y,z,u) = w.
(x \ y) \ z != x * a(y,u,L(w,x,x)) | L(y,u,w) = z.
L(x \ L(y,z,u),L(y,w,v5),x) \ L(y,z,u) = (v6 * a(y,y,L(L(x,z,u),w,v5))) \ (v6 * x).
L(x,y,z \ x) \ (x * a(z,y,L(x,u,w \ a(z,y,x)))) = a(w,u,a(z,y,x)).
(x * L(y,x,L(z,z,u))) * (u \ (z \ u)) = y * (L(z \ 1,z,u) * x).
(x * L(y,x,z)) * (u \ (z \ u)) = y * (L(z \ 1,z,u) * x).
x != y * (z * u) | y * (u * z) = x.
x * (y * L(z \ 1,z,u)) = (y * L(x,y,z)) * (u \ (z \ u)).
(x * L(y,x,z)) * (u \ (z \ u)) = y * (x * L(z \ 1,z,u)).
L(L(x,y,z),u,w \ 1) \ (z * (x * y)) = a(L(x,y,z),u,w) * (y * z).
x != a(L(y,z,u),w,v5) * (z * u) | u * (z * a(y,w,v5)) = x.
x * (y * a(z,u,w)) = L(L(z,y,x),u,w \ 1) \ (x * (z * y)).
L(L(x,y,z),u,w \ 1) \ (z * (x * y)) = z * (y * a(x,u,w)).
x \ y != L(L(z,u,w),v5,v6 \ 1) \ (w * (z * u)) | (w * (u * a(z,v5,v6))) \ y = x.
(x * (y * a(z,u,w))) \ (x * (y * z)) = L(L(z,y,x),u,w \ 1).
x != L(y,z,(u \ 1) \ 1) | L(y,z,u) = x.
L(L(x,y,z),u,w) = (z * (y * a(x,u,w \ 1))) \ (z * (y * x)).
(x * (y * a(z,u,w \ 1))) \ (x * (y * z)) = L(L(z,y,x),u,w).
(x * (y * a(z,u,w))) \ (x * (y * w)) = L(L(w,y,x),u,z).
(x * (y * a(z,u,w))) \ (x * (w * y)) = L(L(w,y,x),u,z).
(x * (y * a(z,u,w))) \ (x * (w * y)) != v5 | L(L(w,u,z),y * a(z,u,w),x) = v5.
L(L(x,y,z),u * a(z,y,x),w) = L(L(x,u,w),y,z).
L(x,y * a(z,u,x),w) = L(x,y,w).
a(x,y * a(z,u,x),w) = x \ L(x,y,w).
L(x,y * a(x,z,u),w) = L(x,y,w).
L(x,x,y) = L(x,L(x,z,u),y).
L(x,L(x,y,z),u) = L(x,x,u).
L(x,y * a(z,u,L(x,w,v5)),v6) = L(x,y,v6).
L(x,x,L(y,z,u)) = L(x,x,y).
L(L(x,x,y),z,u) = L(L(x,z,u),L(x,w,v5),y).
L(L(x,y,z),L(x,u,w),v5) = L(L(x,x,v5),y,z).
L(L(x,y,z),x,u) = L(L(x,y,z),L(x,y,z),u).
L(L(x,y,z),L(x,y,z),u) = L(L(x,y,z),x,u).
x != L(y,z,u) | y * a(y,z,u) = x.
x * a(x,x,y) = L(x,x,L(y,z,u)).
L(x,x,L(y,z,u)) = x * a(x,x,y).
L(x,y \ a(z,u,x),w) = L(x,y,w \ 1).
L(x,y * z,u) = L(x,z * y,u).
a(x,x,L(y,z,u)) = a(x,x,y).
x != a(y,y,z) | a(y,y,L(z,u,w)) = x.
a(x,x,L(y,z,u)) = a(x,x,L(y,w,v5)).
x \ y != a(z,z,L(u,w,v5)) | a(z,z,u) * x = y.
a(x,x,y) * L(x,z,u) = L(L(x,x,y),z,u).
x \ y != a(z,z,L(u,w,v5)) | x * a(z,z,u) = y.
((x \ 1) \ L(y,z,u)) * a(x,x,y) = x * L(y,z,u).
a(x,x,y) * z != a(x,x,L(y,u,w)) | 1 = z.
1 = a(x,y,a(z,u,u)).
a(x,y,a(z,u,u)) = 1.
x \ x = a(y,z,a(u,w,w)).
a(x,y,a(z,u,u)) = w \ w.
L(x,y,a(z,u,u)) = x.
L(x,a(y,z,z),u) = L(x,u,a(y,z,z)).
x * (y * a(z,u,u)) = (x * y) * a(z,u,u).
(x * y) * a(z,u,u) = x * (y * a(z,u,u)).
x \ y != L(z,u,a(w,v5,v5)) | z \ y = x.
x \ (y * a(z,u,u)) = a(z,u,u) * (x \ y).
a(x,x,L(L(y,z,u),w,v5)) = a(x,x,L(y,v6,v7)).
x != L(y,z,a(u,w,w)) | y = x.
x = L(x,a(y,z,z),u).
L(x,a(y,z,z),u) = x.
L(x,a(y,y,z),u) = x.
L((x \ y) * a(z,u,w),a(w,u,z),x) != v5 | (x * a(w,u,z)) \ y = v5.
(x * a(y,y,z)) \ u = (x \ u) * a(z,y,y).
x != y \ L(y,z,u) | a(y,z,u) = x.
a(x,y,z) = a(x,y * a(u,w,x),z).
a(x,y * a(z,u,x),w) = a(x,y,w).
a(x,L(x,y,z) \ u,w) = a(x,x \ u,w).
(x * a(y,y \ z,u)) \ (x * u) = L(u,L(y,w,v5) \ z,y).
L(x,L(y,z,u) \ w,y) = (v5 * a(y,y \ w,x)) \ (v5 * x).
L(x,y \ (z * a(u,w,x)),v5) = L(x,y \ z,v5).
a(x,y,L(y,z,u)) = a(x,y,y).
x \ y != a(z,u,L(u,w,v5)) | a(z,u,u) * x = y.
a(x,y,y) * (z * (u * a(y,y,x))) = z * u.
(x * y) \ ((x * (y * z)) * a(u,w,w)) = a(u,w,w) * L(z,y,x).
a(x,y,y) * (z \ u) = (z * a(y,y,x)) \ u.
(x * a(y,y,z)) \ u = a(z,y,y) * (x \ u).
L(x,y \ a(z,u,x),w) = L(x,y \ a(z,x,u),w).
L(x,y \ a(z,u,x),w) != v5 | L(x,y,w \ 1) = v5.
L(x,y,z \ 1) = L(x,y \ a(u,x,w),z).
L(x,y \ a(z,x,u),w) = L(x,y,w \ 1).
a(x,y \ a(z,x,u),w) = x \ L(x,y,w \ 1).
a(x,y,z \ 1) = a(x,y \ a(u,x,w),z).
a(x,y \ a(z,x,u),w) = a(x,y,w \ 1).
a(x,y,z) = a(z,y \ a(u,z,w),x).
a(x,y \ a(z,x,u),w) = a(w,y,x).
a(x \ a(y,z,u),w,z) * a(w,x,z) = a(x \ a(y,z,u),z,w).
((x \ 1) \ y) * a(x,z,u) != w | L(x \ 1,z,u) \ y = w.
L(x \ 1,x,y) \ L(y,z,u) = x * L(y,z,u).
L(x \ 1,x,y) \ z != u | (y \ (x \ y)) \ z = u.
(x \ (y \ x)) \ L(x,z,u) = y * L(x,z,u).
x \ L(y,z,u) = L(x \ 1,x,y) * L(y,z,u).
L(x \ 1,x,y) * L(y,z,u) = x \ L(y,z,u).
L(x \ y,z,u) \ L(x,w,v5) = L(y \ x,z,u) * L(x,w,v5).
L(x \ 1,x,y) * L(y,z,u) != w | a(y,z,u) * (x \ y) = w.
a(x,y,z) * (u \ x) = u \ L(x,y,z).
(x \ L(y,z,u)) * a(u,z,y) = x \ y.
(x \ y) * a(y,z,u) = x \ L(y,z,u).
a(x,y,z) * (u \ z) = u \ L(z,y,x \ z).
x \ L(y,z,u \ y) = a(u,z,y) * (x \ y).
x * a(y,z,u) = (x \ L(u,z,y)) \ u.
(x \ L(y,z,u)) \ y = x * a(u,z,y).
x * a(y * x,z,u) = y \ L(y * x,z,u).
x \ L(x * y,z,u) = y * a(x * y,z,u).
x * a(y,z,u) = (x \ y) \ L(y,z,u).
(x \ y) \ L(y,z,u) = x * a(y,z,u).
L(x,y,z) * a(z * (x * y),u,w) = (y * z) \ L(z * (x * y),u,w).
(x \ y) * a(z,u,L(y,w,v5)) = x \ L(y,u,L(z \ y,w,v5)).
x \ L(y,z,L(u \ y,w,v5)) = (x \ y) * a(u,z,L(y,w,v5)).
x \ y != (z * a(u,w,v5)) * a(v5,w,u) | z \ y = x.
x \ y = (x * a(y,z,u)) \ L(y,z,u).
(x * a(y,z,u)) \ L(y,z,u) = x \ y.
a(x,y,z * a(u,w,x)) != v5 | a(z \ L(x,w,u),y,x) = v5.
L(x,y,z) = L(x,y,L(z,u,u)).
L(x,y,L(z,u,u)) = L(x,y,z).
a(x,y,L(z,u,u)) = a(x,y,z).
x != L(y,z * u,w) | L(y,u * z,w) = x.
L(x,y * z,u) = L(x,z * y,L(u,w,w)).
L(x,y * z,L(u,w,w)) = L(x,z * y,u).
L(x,y,L(L(z,u,u),w,v5)) = L(x,y,L(z,w,v5)).
L(x,y,z \ u) = L(x,y,u * (z \ 1)).
L(x,y,z * (u \ 1)) = L(x,y,u \ 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 \ 1)) = L(x,y,(z * u) \ 1).
L(x,y,(z * u) \ 1) = L(x,y,z \ (u \ 1)).
L(x,y,z \ (u \ 1)) = L(x,y,(u * z) \ 1).
L(x,y,(z * u) \ 1) = L(x,y,u \ (z \ 1)).
L(x,y,L(z \ 1,u,w) \ v5) = L(x,y,v5 * L(z,u,w)).
a(x \ 1,y,z) = a(z,y,L(x,u,u)).
a(x,y,L(z,u,u)) = a(z \ 1,y,x).
a((x \ 1) * y,z,L(u,x,x)) != w | a(x \ y,z,u) = w.
a(x \ y,z,u) = a((x \ 1) * y,z,u).
a((x \ 1) * y,z,u) = a(x \ y,z,u).
a(x,y,L(z,u,w)) != v5 | L(a(x,y,z),u,w) = v5.
L(a(x,y,z),u,u) = a(x,y,z).
a(x,y,(z \ 1) \ u) = a(x,y,z * u).
a(x,y,z \ u) = a(x,y,(z \ 1) * u).
a(x,y,(z \ 1) * u) = a(x,y,z \ u).
x \ y != L(a(z,u,w),v5,v5) | a(z,u,w) * x = y.
a(x,y,z) * (u \ 1) = u \ a(x,y,z).
x \ y != L(a(z,u,w),v5,v5) | x * a(z,u,w) = y.
(x \ 1) * a(y,z,u) = x \ a(y,z,u).
a(x,y,L(z,u,u)) != w | a(x,y,z) = w.
L(x \ y,x,a(y,z,u)) = x \ y.
L(x \ y,x,a(z,u,y)) = x \ y.
L(x,y,z * L(u \ 1,w,v5)) = L(x,y,L(u,w,v5) \ z).
x != L(y,z,u) | L(y,z,L(u,w,w)) = x.
L(x,y,L(z \ u,w,w)) = L(x,y,(z \ 1) * u).
x \ y != L(z,u,(w \ 1) * v5) | L(z,u,w \ v5) \ y = x.
L(x,y,z \ u) \ x = a((z \ 1) * u,y,x).
a((x \ 1) * y,z,u) = L(u,z,x \ y) \ u.
L(x,y,(z \ 1) * (u * L(w,u,z))) = L(x,y,L(u * (z \ w),z,u)).
x != a(y \ z,u,w) | a(w,u,z \ y) = x.
a(x,y,z \ u) = a((u \ 1) * z,y,x).
a((x \ 1) * y,z,u) = a(u,z,y \ x).
a(x * y,z,u) = a((x \ 1) \ y,z,u).
a((x \ 1) \ y,z,u) = a(x * y,z,u).
a((x \ 1) * (y * L(z,y,x)),u,w) = a(L(y * (x \ z),x,y),u,w).
a((x \ 1) * y,z,u) != w | a(u,z,y \ x) = w.
a(x \ (y \ 1),z,u) = a(u,z,y * x).
a(x,y,(z \ 1) \ (u * ((u * z) \ w))) = a(x,y,w * a(u \ w,u,z)).
a(x,y,L(z \ u,w \ 1,z \ (w \ 1))) = a(x,y,w * (((w \ 1) \ z) \ u)).
x != a(y,z,u \ w) | a(w \ u,z,y) = x.
a(x \ y,z,u) = a(u,z,(y \ 1) * x).
a(x,y,(z \ 1) * u) = a(u \ z,y,x).
L(x,x,a(y,z,u) \ 1) = x.
L(x,x,a(y,z,u)) = x.
x \ y != L(z,z,a(u,w,v5)) | z * x = y.
x * a(y,z,u) = (x * x) * (x \ a(y,z,u)).
(x * x) * (x \ a(y,z,u)) = x * a(y,z,u).
x \ y != (z \ 1) * a(u,w,v5) | (z \ a(u,w,v5)) \ y = x.
(x \ a(y,z,u)) \ 1 = x * a(u,z,y).
a(x,y,(z \ 1) \ u) != w | a(x,y,z * u) = w.
a(x * y,z,u) = a(u,z,y \ (x \ 1)).
a(x,y,z \ (u \ 1)) = a(u * z,y,x).
a((x \ 1) * y,z,u) != w | a(x \ y,z,u) = w.
a(x * a(y,z,z),u,w) = a(z * (x * (y \ (z \ y))),u,w).
a(x * (y * (z \ (x \ z))),u,w) = a(y * a(z,x,x),u,w).
x != a(y,z,u * w) | a(y,z,w * u) = x.
a(x,y,z * u) = a(z \ (u \ 1),y,x).
a(x \ (y \ 1),z,u) = a(u,z,x * y).
a(x \ (y \ 1),z,u) != w | a(u,z,x * y) = w.
a(x,y,(z \ 1) * u) != w | a(x,y,z \ u) = w.
a(x,y,z * (u * (w \ 1))) = a((u * L(z,u,w)) \ w,y,x).
a((x * L(y,x,z)) \ z,u,w) = a(w,u,y * (x * (z \ 1))).
a(x,y,z \ (u \ 1)) = a(z * u,y,x).
a(x \ L(y \ 1,z,u),w,v5) = a(v5,w,x * L(y,z,u)).
a(x \ (y \ 1),z,u) != w | a(u,z,y * x) = w.
a(x,y,z \ (u \ (w \ 1))) = a(z * ((u \ 1) \ w),y,x).
a(x * ((y \ 1) \ z),u,w) = a(w,u,x \ (y \ (z \ 1))).
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(L(L(x,y,z \ x),u,a(z,y,x) * (w \ x)),y,z) = L(x,u,w \ 1).
L(x,y \ z,u * w) = L(x,z \ y,u \ (w \ 1)).
L(x,y \ z,u \ (w \ 1)) = L(x,z \ y,u * w).
L(x * a(y,x,z),y,z \ 1) != u | L(x,z,y \ 1) = u.
L(x,y * z,u \ 1) = L(x * a(u,x,y * z),u,y \ (z \ 1)).
L(x * a(y,x,z * u),y,z \ (u \ 1)) = L(x,z * u,y \ 1).
a(x,y,L(L(z,u,w),v5,(v6 * v7) \ 1)) != v8 | a(x,y,L(L(z,v5,v6 \ (v7 \ 1)),u,w)) = v8.
L(x,y,((z \ (u \ (w * 1))) * v5) \ 1) = L(x,y,v5 \ ((z \ 1) \ (1 * ((u \ 1) \ (w \ 1))))).
L(x,y,z \ ((u \ 1) \ (1 * ((w \ 1) \ (v5 \ 1))))) = L(x,y,((u \ (w \ (v5 * 1))) * z) \ 1).
x * y != z * a(u,w,x) | L(x,w,u) \ z = y.
L(x * x,y,z) \ x = x \ a(z,y,x * x).
x \ y != z \ a(u,w,z * z) | x * (L(z * z,w,u) \ z) = y.
x * (L(x * x,y,z) \ x) = a(z,y,x * x).
L(x,y,(z \ 1) * u) != w | L(x,y,z \ u) = w.
a(x \ ((y \ 1) \ z),u,w) != v5 | a(w,u,x * (y \ (z \ 1))) = v5.
a(x \ L(y \ 1,z,u),w,v5) != v6 | a(v5,w,x * L(y,z,u)) = v6.
a(x \ L(L(y \ 1,z,u),w,v5),v6,v7) = a(v7,v6,x * L(L(y,w,v5),z,u)).
a(x * (((y \ 1) * (x * z)) \ x),u,w) = a(w,u,(x \ (z \ x)) \ (y \ (x \ 1))).
L(x,y \ z,y) = L(x,L(y,u,w) \ z,y).
L(x,L(y,z,u) \ w,y) = L(x,y \ w,y).
L(x,y,L(y,z,u) \ w) = L(x * a(y,x,L(y,z,u) \ w),y \ w,y).
L(x * a(y,x,L(y,z,u) \ w),y \ w,y) = L(x,y,L(y,z,u) \ w).
L(x,y,z) = L(x,z \ (L(z,u,w) * y),z).
L(x,y \ (L(y,z,u) * w),y) = L(x,w,y).
L(x,a(y,z,u) \ w,u) = L(x,w,u).
L(x,y \ a(z,u,w),w \ x) = L(x,y,w).
L(x,y * a(z,u,w),z) = L(x,y,z).
x * a(x,y,z) = L(x,y \ a(u,w,z),z \ x).
L(x,y \ a(z,u,w),w \ x) = x * a(x,y,w).
a(x,y \ a(z,u,x),w) = a(w,y,x).
a(x,y \ a(z,u,w),w) = a(x \ w,y,w).
a(x,y \ a(z,u,w),w) != v5 | a(w,y,x) = v5.
a(x,y \ a(z,u,w),z) != v5 | a(z,y,x) = v5.
a(x,y,(z \ u) * (z * (w \ 1))) != v5 | a(x,y,z * ((z * w) \ u)) = v5.
(x * y) \ (x * ((y * z) * a(u,w,w))) = a(u,w,w) * L(z,y,x).
(x * y) \ (x * (y * (z * a(u,w,w)))) = a(u,w,w) * L(z,y,x).
L(x * a(y,z,z),u,w) = a(y,z,z) * L(x,u,w).
L((x * a(y,y,z)) * a(z,y,y),u,w) \ x = a(w,u,x * a(y,y,z)).
L(x,y,z * (u * (w \ 1))) = L(x,y,L(u * (w \ z),w,u)).
L(x,y,L(z * (u \ w),u,z)) = L(x,y,w * (z * (u \ 1))).
a(x * (y * (z \ 1)),u,w) = a(L(y * (z \ x),z,y),u,w).
a(L(x * (y \ z),y,x),u,w) = a(z * (x * (y \ 1)),u,w).
a(x * (y \ z),u,L(w,y,x)) = a(z * (x * (y \ 1)),u,w).
a(x * (y * (z \ (x \ z))),u,L(w,z,x * y)) = a((x \ z) * ((x * y) * (z \ 1)),u,w).
(x \ y) * a(a(z,u,y) * ((x \ y) * x),w,v5) = (x * a(z,u,y)) \ L(a(z,u,y) * ((x \ y) * x),w,v5).
(x * a(y,z,u)) \ L(a(y,z,u) * ((x \ u) * x),w,v5) = (x \ u) * a(a(y,z,u) * ((x \ u) * x),w,v5).
a(x,y,(z \ 1) \ (u * ((z * u) \ w))) = a(x,y,w * a(u \ w,u,z)).
L(x,y,z) \ x = a(z,y,x * a(u,u,w)).
a(x,y,z * a(u,u,w)) = L(z,y,x) \ z.
x != L(y,z,u) \ y | a(u,z,y) = x.
a(x,y,z) = a(x,y,z * a(u,u,w)).
a(x,y,z * a(u,u,w)) = a(x,y,z).
a(x \ a(y,z,z),u,w) = a(w,u,x).
a(x,y,z * L(u,u,w)) = a(x,y,z * u).
a(x,y,z * L(u,u,w)) = a(x,y,u * z).
a(x,y,z * u) = a(x,y,z * L(u,w,w)).
a(x,y,z * L(u,w,w)) = a(x,y,z * u).
L(x,y,(z \ a(u,w,w)) \ x) = x * a(x,y,z).
a(x,y,z * L(L(u,w,v5),u,v6)) = a(x,y,z * L(u,w,v5)).
a(x,y,z * (u \ w)) = a(x,y,z * (w * (u \ 1))).
a(x,y,z * (u * (w \ 1))) = a(x,y,z * (w \ u)).
a(x,y,z * ((u \ 1) \ w)) = a(x,y,z * (u * w)).
L(x,y,z) = L(x,y,(z \ a(u,w,w)) \ x).
L(x,y,(z \ a(u,w,w)) \ x) = L(x,y,z).
L(x,y,a(z,u,u) \ w) = L(x,y,w).
L(x,y,z * u) = L(x,y,u * L(z,w,w)).
L(x,y,z * L(u,w,w)) = L(x,y,u * z).
L(x,y,L(z,u,u) \ w) = L(x,y,z \ w).
L(x,y,z * a(u,u,w)) = L(x,y,z).
L(x,y,z \ u) = L(x,y,L(z,z,w) \ u).
L(x,y,L(z,z,u) \ w) = L(x,y,z \ w).
a(x,y,z) \ z = L(z,y,x * a(u,u,w)).
L(x,y,z * a(u,u,w)) = a(z,y,x) \ x.
L(x,y,z * u) = L(x,y,z * L(u,w,w)).
L(x,y,z * L(u,w,w)) = L(x,y,z * u).
L(x,y,z \ L(u,u,w)) = L(x,y,z \ u).
L(x,y,(z * u) * L(L(w,z,u),v5,v5)) = L(x,y,u * (z * w)).
L(x,y,L(z,u,w) \ v5) != v6 | L(x,y,v5 * L(z \ 1,u,w)) = v6.
L(x,y,z * L(u \ 1,u,w)) = L(x,y,u \ z).
a(x * a(y,y,z),u,w) = a(x,u,w).
a(T(x,y),z,u) = a(x,z,u).
a(x * a(y,z,z),u,w) = a(x,u,w).
a(x * (y * a(z,z,u)),w,v5) = a(x * y,w,v5).
a(x \ y,z,u) = a(x \ L(y,w,w),z,u).
a(x \ L(y,z,z),u,w) = a(x \ y,u,w).
a(x \ y,z,u) = a(y / x,z,u).
a(x / y,z,u) = a(y \ x,z,u).
a(K(x,y) * z,u,w) = a(z,u,w).
a((x * y) \ z,u,w) = a((y * x) \ z,u,w).
x != a(y,z,u) | (y * (z * u)) \ ((y * z) * u) = x.
(x * (y * z)) \ ((x * y) * z) = a(K(u,w) * x,y,z).
a(K(x,y) * z,u,w) = (z * (u * w)) \ ((z * u) * w).
L(x,y,z * (u \ w)) = L(x,y,z * (w * (u \ 1))).
L(x,y,z * (u * (w \ 1))) = L(x,y,z * (w \ u)).
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) = L(x,y,z * L(u,w,w \ 1)).
L(x,y,z * L(u,w,w \ 1)) = L(x,y,z * u).
L(x,y,z \ ((u \ w) \ 1)) = L(x,y,z \ (w \ u)).
L(x,y,z \ (u \ a(u,u,w))) = L(x,y,z \ (u \ 1)).
a(x,y,z \ u) = a(u \ L(z,w,w),y,x).
a(x \ L(y,z,z),u,w) = a(w,u,y \ x).
a(x \ (y * (y * z)),u,w) = a(x \ (z * (y * y)),u,w).
a(x \ (y * (z * z)),u,w) = a(x \ (z * (z * y)),u,w).
a(x \ (y \ z),u,w) = a(x \ (z * (y \ 1)),u,w).
a(x \ (y * (z \ 1)),u,w) = a(x \ (z \ y),u,w).
a(x \ ((y \ 1) \ z),u,w) = a(w,u,(y * z) \ x).
L(x,y,z * (u \ (w \ u))) = L(x,y,w \ z).
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 * L(u \ (w \ u),v5,v6)) = L(x,y,L(w,v5,v6) \ z).
L(x,y,z * L(u \ (w \ 1),w,w \ 1)) = L(x,y,(w * u) \ z).
L(x,(y \ z) \ u,w) = L(x * a((y \ z) \ u,x,w),w,u * (z \ y)).
L(x * a((y \ z) \ u,x,w),w,u * (z \ y)) = L(x,(y \ z) \ u,w).
x != L(y,z,(u \ 1) * w) | L(y,z,u \ w) = x.
L(x,y,z \ (u \ w)) = L(x,y,(w \ u) \ (z \ 1)).
L(x,y,(z \ u) \ (w \ 1)) = L(x,y,w \ (u \ z)).
L(x,y,z \ u) != w | L(x,y,u * (v5 \ (z \ v5))) = w.
L(x,y,z * (u \ ((w \ v5) \ u))) = L(x,y,z * (v5 \ w)).
x \ y != L(z,u,(w \ v5) \ v6) | L(z,u,v6 * (v5 \ w)) \ y = x.
L(x,y,z * (u \ w)) \ x = a((w \ u) \ z,y,x).
L(x,y,L(z * ((u \ w) \ v5),u \ w,z)) = L(x,y,(z * L(v5,z,u \ w)) * (w \ u)).
(x \ (y \ z)) * (u * L(w,u,x * (z \ y))) = w * (u * (x \ (y \ z))).
a(x * (y * (z * a(u,u,w))),v5,v6) = a(x * (y * z),v5,v6).
a(x,y,z * ((z * u) \ w)) = a(x,y,(z \ w) * (u \ z)).
a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((z * w) \ u)).
a(x,y,(z \ u) * (w \ z)) != v5 | a(x,y,z * ((z * w) \ u)) = v5.
L(x,y,z \ (u * (w \ 1))) = L(x,y,(z \ 1) * (w \ u)).
x \ y != L(z,u,w * ((v5 \ 1) * v6)) | L(z,u,w * (v5 \ v6)) \ y = x.
L(x,y,z * (u \ w)) \ x = a(z * ((u \ 1) * w),y,x).
a(x * ((y \ 1) * z),u,w) = L(w,u,x * (y \ z)) \ w.
L(x,y,z \ (u \ 1)) != w | L(x,y,(z * u) \ 1) = w.
L(x,y,(z * (u \ w)) \ 1) = L(x,y,z \ (w \ u)).
a(x,y,z * (u \ (w \ 1))) = a(x,y,(u * w) \ z).
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((x \ y) \ z,u,w) != v5 | a(z * (y \ x),u,w) = v5.
a(x,y,z * (u \ w)) = a((z \ 1) * (w \ u),y,x).
a((x \ 1) * (y \ z),u,w) = a(w,u,x * (z \ y)).
a((x \ y) \ z,u,x) != w | a(y \ z,u,x) = w.
a(x \ y,z,u) = a(y * (x \ u),z,u).
a(x * (y \ z),u,z) = a(y \ x,u,z).
a(((x \ y) \ (z \ y)) \ u,w,v5) = a(u * (y \ (x \ (y * z))),w,v5).
a(x,y,z * (u \ x)) = a(z \ u,y,x).
x != a(y \ z,u,w) | w \ L(w,u,z \ y) = x.
x \ L(x,y,z \ u) = a(x,y,u * (z \ x)).
a(x,y,z * (u \ x)) = x \ L(x,y,u \ z).
L(x,y,z * (u \ x)) = L(x,y,u \ z).
L(x,y,z * (u \ w)) != v5 | L(x,y,(w \ u) \ z) = v5.
L(x,y,(x \ z) \ u) = L(x,y,z \ u).
L(L(x,y,z \ u),w,v5) = L(L(x,w,v5),y,u * (z \ x)).
L(L(x,y,z),u,w * (v5 \ x)) = L(L(x,u,v5 \ w),y,z).
L(x,y,z \ u) = L(x,y,(x * z) \ u).
L(x,y,(x * z) \ u) = L(x,y,z \ u).
L(x,y,(x * z) \ u) != w | L(x,y,z \ (x \ u)) = w.
L(x,y,z \ (x \ u)) = L(x,y,z \ u).
L(x,y,z \ u) = L(x,y,z \ (u * x)).
L(x,y,z \ (u * x)) = L(x,y,z \ u).
L(x,y,z \ u) != w | L(x,y,(u \ z) \ x) = w.
a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z).
a(x,y,z * (u \ (w * (v5 \ 1)))) = a(x,y,(u * (v5 * (w \ 1))) \ z).
a(x,y,(z * (u * (w \ 1))) \ v5) = a(x,y,v5 * (z \ (w * (u \ 1)))).
a(x \ (y \ z),u,w) = a(w,u,x * (z \ y)).
a(x,y,(z \ u) \ w) = a(x,y,w * (u \ z)).
a(x \ (y \ z),u,w) != v5 | a(x \ (z * (y \ 1)),u,w) = v5.
a(x \ (y * (z \ 1)),u,w) = a(w,u,x * (y \ z)).
a(x,y,z \ u) = a(x,y,u * (w \ (z \ w))).
a(x,y,z * (u \ (w \ u))) = a(x,y,w \ z).
a(x,y,(z \ (u \ z)) \ w) = a(x,y,w * u).
a(x,y,L(L(z \ 1,z,u),u,w) \ v5) = a(x,y,v5 * ((w * (z \ u)) \ (u * w))).
x != a(y,z,u * w) | a(y,z,u * L(w,w,v5)) = x.
a(x,y,z * L(u,u,w)) = a(x,y,(v5 \ (u \ v5)) \ z).
a(x,y,(z \ (u \ z)) \ w) = a(x,y,w * L(u,u,v5)).
a(x,y,z * u) = a(x,y,(w \ (z \ w)) \ u).
a(x,y,(z \ (u \ z)) \ w) = a(x,y,u * w).
a(x \ (y * (z \ (u \ 1))),w,v5) = a(v5,w,x * (y \ ((z \ 1) \ u))).
a(x \ (y * ((z \ 1) \ u)),w,v5) = a(v5,w,x * (y \ (z \ (u \ 1)))).
a(K(x,y) * z,u,w) != v5 | a(z,u,w) = v5.
a(x / y,z,u) != w | a(y \ x,z,u) = w.
a((x * y) \ z,u,w) != v5 | a((y * x) \ z,u,w) = v5.
L(x,y,z \ (z \ a(z,z,u))) != w | L(x,y,u \ (z \ (z \ u))) = w.
L(x,y,z \ (u \ (u \ z))) = L(x,y,u \ (u \ 1)).
L(x,y \ (z \ (z \ y)),u) = L(x * a(y \ (z \ (z \ y)),x,u),u,z \ (z \ 1)).
L(x * a(y \ (z \ (z \ y)),x,u),u,z \ (z \ 1)) = L(x,y \ (z \ (z \ y)),u).
x \ y != L(z,u,w \ (v5 \ (v5 \ w))) | L(z,u,v5 \ (v5 \ 1)) \ y = x.
L(x,y,z \ (z \ 1)) \ x = a(u \ (z \ (z \ u)),y,x).
a(x \ (y \ (y \ x)),z,u) = L(u,z,y \ (y \ 1)) \ u.
a(x \ (y * (z \ y)),u,w) != v5 | a(y * (z \ (x \ y)),u,w) = v5.
a(x,y,L(z,u,u \ (w \ (v5 \ w)))) = a(x,y,((z * u) * (u \ (w \ (v5 \ w)))) * L(v5,v5,v6)).
a(x,y,((z * u) * (u \ (w \ (v5 \ w)))) * L(v5,v5,v6)) = a(x,y,L(z,u,u \ (w \ (v5 \ w)))).
L(x,y,z * ((u * (w \ v5)) \ u)) = L(x,y,z * (v5 \ w)).
L(x,y,z * (u \ (w \ (v5 \ u)))) = L(x,y,z * ((u * v5) \ (w \ u))).
L(x,y,z * ((u * w) \ (v5 \ u))) = L(x,y,z * (u \ (v5 \ (w \ u)))).
L(x,y,z \ (u \ w)) = L(x,y,z \ (w * (u \ 1))).
L(x,y,z \ (u * (w \ 1))) = L(x,y,z \ (w \ u)).
L(x,y \ (z * (u \ 1)),w) = L(x * a(y \ (z * (u \ 1)),x,w),w,y \ (u \ z)).
L(x * a(y \ (z * (u \ 1)),x,w),w,y \ (u \ z)) = L(x,y \ (z * (u \ 1)),w).
L(x,y,z * (u \ (w * (v5 \ 1)))) = L(x,y,L(z \ u,z,u \ (w * (v5 \ 1))) \ (v5 \ w)).
L(x,y,L(z \ u,z,u \ (w * (v5 \ 1))) \ (v5 \ w)) = L(x,y,z * (u \ (w * (v5 \ 1)))).
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 \ 1) * z),u,w) != v5 | a(x * (y \ z),u,w) = v5.
a(x * (y * (z \ 1)),u,w) = a(x * (z \ y),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) != v5 | a(L(y * (z \ x),z,y),u,w) = v5.
a(L(x * (y \ z),y,x),u,w) = a(z * (y \ x),u,w).
a(x,y,(z * L(u,z,w)) \ w) = a(u * (w \ z),y,x).
L(L(L(x,y,z \ a(u,w,x)),w,u \ x),w,u) = L(x,y,z \ 1).
a(x \ (x \ 1),y,z) = a(u \ (x \ (x \ u)),y,z).
a(x \ (y \ (y \ x)),z,u) = a(y \ (y \ 1),z,u).
x != a(y \ (z \ 1),u,w) | a(w,u,y * z) = x.
a(x,y,z * z) = a(u \ (z \ (z \ u)),y,x).
a(x \ (y \ (y \ x)),z,u) = a(u,z,y * y).
L(x,y,z * ((u \ w) \ (v5 \ w))) = L(x,y,z * (w \ (v5 \ (w * 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 * (z \ L(u,v6,v6))),w,v5).
a(x * (y * (z \ L(u,w,w))),v5,v6) = a(x * (y * (z \ u)),v5,v6).
a(x * (y * (z \ 1)),u,w) != v5 | a(x * (z \ y),u,w) = v5.
L(x,y,z * (u * L(w,v5,v5))) = L(x,y,z * (u * w)).
L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u * (v5 * (w \ 1)))).
L(x,y,z * (u * (w * (v5 \ 1)))) = L(x,y,z * (u * (v5 \ w))).
L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u * ((w \ 1) * v5))).
L(x,y,z * (u * ((w \ 1) * v5))) = L(x,y,z * (u * (w \ v5))).
L(x,y,z * (u * (w \ (((v5 \ 1) \ v6) * (v5 \ w))))) = L(x,y,z * (u * L(v6,v5,v5 \ w))).
L(x,y,z * ((u * w) \ (u * (v5 \ w)))) = L(x,y,L(v5,w,u) \ z).
L(x,y,z * (u \ ((w \ v5) * (v5 \ u)))) = L(x,y,L(w,v5,v5 \ u) \ z).
L(x,y,z * L(u,w,w \ 1)) != v5 | L(x,y,z * u) = v5.
L(x,y,z * (u \ (w \ 1))) = L(x,y,(w * u) \ z).
L(x,y,z * (u \ L(w,w,v5))) = L(x,y,((v5 \ (w \ v5)) * u) \ z).
L(x,y,((z \ (u \ z)) * w) \ v5) = L(x,y,v5 * (w \ L(u,u,z))).
a(x,y,(z * u) \ ((z \ 1) \ w)) != v5 | a(x,y,(z \ 1) * (((z \ 1) * u) \ w)) = v5.
L(L(L(x,y,z),u,w \ x),u,w) != v5 | L(x,y,z) = v5.
L(x,y,z \ a(u,w,x)) = L(x,y,z \ 1).
x != L(y,z,u \ 1) | L(y,z,u \ y) = x.
L(x,y,z \ x) = L(x,y,z \ a(u,w,x)).
L(x,y,z \ a(u,w,x)) = L(x,y,z \ x).
a(x,y,z) * z = L(z,y,x \ a(u,w,z)).
L(x,y,z \ a(u,w,x)) = a(z,y,x) * x.
L(x,y,z) = L(x,y,(z \ a(u,w,x)) \ 1).
L(x,y,(z \ a(u,w,x)) \ 1) = L(x,y,z).
L(x,y,z \ x) \ (x * a(z,y,L(x,u,w \ x))) = a(w,u,a(z,y,x)).
x * y != L(x,z,u \ a(w,v5,x)) | a(u,z,x) = y.
a(x,y,z) = a(z,y,x \ a(u,w,z)).
a(x,y,z \ a(u,w,x)) = a(z,y,x).
a(x,y,z) = a(z \ a(u,w,x),y,x).
a(x \ a(y,z,u),w,u) = a(u,w,x).
a(x,y,z * a(x,u,w)) = a(x,y,z).
a(x,y,z) = a(x,y,z * a(u,w,x)).
a(x,y,z * a(u,w,x)) = a(x,y,z).
x \ y != a(z,u,w * a(z,v5,v6)) | a(z,u,w) * x = y.
a(x,y,z) * L(y,z * a(x,u,w),x) = L(y,x,z * a(x,u,w)).
a(x \ L(y,z,u),w,y) = a(y,w,x).
a(x,y,L(x,z,u) \ w) = a(x,y,w).
L(x * a(y,x,z),y \ z,y) = L(x,y,L(y,u,w) \ z).
L(x,y,z * a(x,u,w)) = L(x,y,z).
L(x,y,z \ L(x,u,w)) = L(x,y,z \ x).
L(L(x,y,z \ x),u,w) = L(L(x,u,w),y,z \ L(x,v5,v6)).
L(L(x,y,z),u,w \ L(x,v5,v6)) = L(L(x,u,w \ x),y,z).
L(x,y,y \ z) = L(x,y,L(y,u,w) \ z).
L(x,y,L(y,z,u) \ w) = L(x,y,y \ w).
L(x,y,z * (y \ u)) = L(x,y,y \ (z * u)).
L(x,y,y \ (z * u)) = L(x,y,z * (y \ u)).
x != L(y,z,u * (w \ (v5 \ w))) | L(y,z,v5 \ u) = x.
L(x,y,z \ u) = L(x,y,y \ (u * (z \ y))).
L(x,y,y \ (z * (u \ y))) = L(x,y,u \ z).
L(x,y,(z * u) \ y) = L(x,y,u \ (z \ y)).
a(x * (y * (z \ (u \ w))),v5,v6) = a(x * (y * (z \ (w * (u \ 1)))),v5,v6).
a(x * (y * (z \ (u * (w \ 1)))),v5,v6) = a(x * (y * (z \ (w \ u))),v5,v6).
L(x,y,(z * (u \ (w \ u))) \ v5) = L(x,y,v5 * (z \ L(w,w,u))).
a(x,y,z) * L(y,z,x) = L(y,x,z * a(x,u,w)).
L(x,y,z * a(y,u,w)) = a(y,x,z) * L(x,z,y).
x != a(y,z,u) * L(z,u,y) | L(z,y,u) = x.
L(x,y,z) = L(x,y,z * a(y,u,w)).
L(x,y,z * a(y,u,w)) = L(x,y,z).
L(x,y,z * u) = L(x,y,z * L(u,w,y)).
L(x,y,z * L(u,w,y)) = L(x,y,z * u).
L(x,y,z \ (u * a(y,w,v5))) = L(x,y,z \ u).
L(x,y,z \ u) = L(x,y,z \ L(u,w,y)).
L(x,y,z \ L(u,w,y)) = L(x,y,z \ u).
L(x,y,z * ((y * u) \ w)) = L(x,y,z * (u \ (y \ w))).
L(x,y,z * (u \ (y * w))) = L(x,y,z * ((y \ u) \ w)).
L(x,y,z * ((y \ u) \ w)) = L(x,y,z * (u \ (y * w))).
L(x,y,y * (z * (y \ u))) = L(x,y,u * z).
L(x,y,z * (u * L(w,v5,y))) = L(x,y,(z * u) * L(w,u,z)).
L(x,y,(z * u) * L(w,u,z)) = L(x,y,z * (u * L(w,v5,y))).
L(x,y,z \ L(u,y,w)) = L(x,y,z \ (u * a(y,u,w))).
L(x,y,z \ (u * a(y,u,w))) = L(x,y,z \ L(u,y,w)).
L(x,y,z \ (u * a(y,w,v5))) != v6 | L(x,y,z \ u) = v6.
L(x,y,z \ u) = L(x,y,z \ L(u,y,w)).
L(x,y,z \ L(u,y,w)) = L(x,y,z \ u).
L(x,y \ L(z,u,w),u) = L(x * a(y \ L(z,u,w),x,u),u,y \ z).
L(x * a(y \ L(z,u,w),x,u),u,y \ z) = L(x,y \ L(z,u,w),u).
L(x,y,z) = L(x,y,(z \ L(u,y,w)) \ u).
L(x,y,(z \ L(u,y,w)) \ u) = L(x,y,z).
L(x,y,L(z,y,u)) = L(x,y,z).
L(x,y,z * a(u,y,w)) = L(x,y,z).
x != L(y,z,u) | L(y,z,L(u,w,z)) = x.
L(x,y,L(z,u,y)) = L(x,y,L(z,y,w)).
L(x,y,(z * y) \ u) = L(x,y,y \ (z \ u)).
L(x,y,z) * L(x,y,u) = x * L(L(x,y,z),y,u).
a(x,y,z * a(u,y,w)) = x \ L(x,y,z).
L(x,y,z * L(u,y,w)) = L(x,y,z * u).
L(x,y,L(z,y,u)) != w | L(x,y,z) = w.
a(x,y,z) = a(x,y,z * a(u,y,w)).
a(x,y,z * a(u,y,w)) = a(x,y,z).
a(x \ a(y,z,u),z,w) = a(w,z,x).
a(x,y,L(z,y,u)) = a(x,y,z).
x \ y != a(z,u,L(w,u,v5)) | a(z,u,w) * x = y.
a(x,y,z) * L(x,y,u) = L(L(x,y,z),y,u).
x != a(y,z,u) | a(z,y,u) * a(y,u,z) = x.
a(x,y,z) * a(y,z,x) = a(z \ a(u,x,w),x,y).
a(x \ a(y,z,u),z,w) = a(z,w,x) * a(w,x,z).
L(x,y,(z * y) \ u) != w | L(x,y,z \ (y \ u)) = w.
L(x,y,z \ (y \ u)) = L(x,y,y \ (z \ u)).
x * a(y,z,u) != a(z \ a(w,u,v5),u,y) | a(z \ a(w,u,v5),y,u) = x.
a(x \ a(y,z,u),w,z) = a(z,w,x).
a(x,y,z * a(u,x,w)) = a(x,y,z).
a(x,y,z) = a(z,y,x \ a(u,z,w)).
a(x,y,z \ a(u,x,w)) = a(z,y,x).
a(x,y,z * L(u,x,w)) = a(x,y,u * z).
a(a(x,y,z) \ u,w,y) = a(u,w,y).
a(x,y,z) = a(x * a(u,z,w),y,z).
a(x * a(y,z,u),w,z) = a(x,w,z).
a(x \ y,z,u) = a(x \ L(y,u,w),z,u).
a(x \ L(y,z,u),w,z) = a(x \ y,w,z).
L(x,y,z * (u * w)) = L(x,y,z * (u * L(w,v5,y))).
L(x,y,z * (u * L(w,v5,y))) = L(x,y,z * (u * w)).
L(x,y,z * (u * ((y * w) \ v5))) = L(x,y,z * (u * (w \ (y \ v5)))).
a(x * ((y \ z) \ (u \ z)),w,v5) = a(x * (z \ (u \ (z * y))),w,v5).
a(x \ (y * (z \ ((u \ 1) \ w))),v5,v6) = a(v6,v5,x * (y \ ((z \ 1) \ (u \ (w \ 1))))).
a(x,y,z * (u \ ((w \ 1) \ (v5 \ (v6 \ 1))))) = a(z \ (u * (w \ ((v5 \ 1) \ v6))),y,x).
a(x,y,z * (u * ((z * u) \ w))) = a(x,y,w * a(u \ w,u,z)).
a(x,y,z * a(u \ z,u,w)) = a(x,y,w * (u * ((w * u) \ z))).
a(x,y,z * a(u \ z,u,w)) = a(x,y,u * ((u * w) \ (w * z))).
a(x,y,z * a(u \ z,u,w)) = a(x,y,u * ((u * w) \ (z * w))).
L(x * a(y * (z \ u),x,w),w,y * (z \ u)) = L(x,(u \ z) \ y,w).
(x \ (y \ 1)) * (z * L(u,z,x * y)) = u * (z * (x \ (y \ 1))).
L(x,y,z \ x) \ L(x,y,L(z \ x,u,w \ x)) = a(w,u,a(z,y,x)).
L(x * a(y \ z,x,u),u,y \ z) = L(x,y \ L(z,u,w),u).
L(x,y \ z,u) = L(x,y \ L(z,u,w),u).
L(x,y \ L(z,u,w),u) = L(x,y \ z,u).
L(x,y \ L(z,u,w),u) != v5 | L(x,y \ z,u) = v5.
L(x,y,z) = L(x,(y \ L(u,z,w)) \ u,z).
L(x,(y \ L(z,u,w)) \ z,u) = L(x,y,u).
L(x,L(y,z,u),z) = L(x,y,z).
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) != v5 | L(x,u * (z \ y),w) = v5.
L(x,y \ z,u) = L(x,z * (w \ (y \ w)),u).
L(x,y * (z \ (u \ z)),w) = L(x,u \ y,w).
L(x,(y * a(z,u,w)) \ v5,v6) = L(x,v5 * (y \ a(w,u,z)),v6).
L(x,(y \ (z \ y)) * u,w) = L(x,z \ u,w).
L(x,y * L(z \ u,w,v5),v6) = L(x,L(u \ z,w,v5) \ y,v6).
L(x,L(y \ z,u,w) \ v5,v6) = L(x,v5 * L(z \ y,u,w),v6).
L(x,(y \ 1) * z,u) = L(x,y \ z,u).
L(x,L(y \ 1,z,u \ 1) \ w,v5) != v6 | L(x,w * (a(y,z,u) \ y),v5) = v6.
L(x,(y \ z) * a(u,w,w),v5) = L(x,z * (y \ a(u,w,w)),v5).
L(x,L(y,z,u) \ w,v5) = L(x,w * L(y \ 1,z,u),v5).
L(x,y * L(z \ 1,u,w),v5) = L(x,L(z,u,w) \ y,v5).
L(x,L(y \ 1,z,u) \ w,v5) = L(x,w * L(y,z,u),v5).
L(x,y * L(L(z,z,u),w,v5),v6) = L(x,L(u \ (z \ u),w,v5) \ y,v6).
L(x,L(y \ (z \ y),u,w) \ v5,v6) = L(x,v5 * L(L(z,z,y),u,w),v6).
x \ L(y,z,L(u \ y,w,v5)) != v6 | (x \ y) * a(u,z,L(y,w,v5)) = v6.
(L(x,y,z \ x) \ x) * a(z,y,L(x,u,w \ x)) = a(w,u,a(z,y,x)).
L(x,((y * z) \ (z * (u \ y))) \ w,v5) = L(x,w * L(L(u,u,y),y,z),v5).
a(x \ y,z,y) * a(x,z,L(y,u,w \ y)) = a(w,u,a(x,z,y)).
a(x,y,z) * a(z,y,L(x,u,w \ x)) = a(w,u,a(z,y,x)).
a(x \ y,z,a(y,u,w)) = a(x,z,a(w,u,y)).
x \ y != a(z \ u,w,a(u,v5,v6)) | x * a(z,w,a(v6,v5,u)) = y.
x * a(y,z,a(u,w,x)) = y * L(y \ x,z,a(x,w,u)).
x * L(x \ y,z,a(y,u,w)) = y * a(x,z,a(w,u,y)).
x != y * a(z,u,a(w,v5,v6)) | y * a(a(v6,v5,w),u,z) = x.
x * a(a(x,y,z),u,w) = w * L(w \ x,u,a(x,y,z)).
x * L(x \ y,z,a(y,u,w)) = y * a(a(y,u,w),z,x).
a(x,y,a(z,u,w)) = a(a(z,u,w),y,x \ z).
a(a(x,y,z),u,w \ x) = a(w,u,a(x,y,z)).
a(x,y,L(L(z \ 1,u,w),v5,v6) \ v7) = a(x,y,v7 * L(L(z,v5,v6),u,w)).
L(x,y * L(L(z,z,u),u,w),v5) != v6 | L(x,y * ((w * (z \ u)) \ (u * w)),v5) = v6.
a(x,y,L(z \ u,1 \ w,z * w)) = a(x,y,w * (((w \ 1) \ z) \ u)).
a(x,y,L(z \ u,w,z * w)) = a(x,y,w * (((w \ 1) \ z) \ u)).
x != a(y,z,(u \ (w \ u)) \ v5) | a(y,z,w * v5) = x.
a(x,y,z * (u \ (w \ 1))) = a(w * (((u \ 1) * (w * z)) \ w),y,x).
a(x * (((y \ 1) * (x * z)) \ x),u,w) = a(w,u,z * (y \ (x \ 1))).
x != a(y,z,u * (w \ (v5 \ 1))) | a(y,z,(v5 * w) \ u) = x.
a(x,y,(z * u) \ w) = a(z * (((u \ 1) * (z * w)) \ z),y,x).
a(x * (((y \ 1) * (x * z)) \ x),u,w) = a(w,u,(x * y) \ z).
a(x,y,L(L(z \ 1,u,w),v5,v6) \ v7) != v8 | a(x,y,v7 * L(L(z,v5,v6),u,w)) = v8.
a(x,y,z * L(L(u,w,v5),u,w)) = a(x,y,z * ((v5 * (u \ w)) \ (w * v5))).
a(x,y,z * L(L(u,w,v5),u,v6)) != v7 | a(x,y,z * L(u,w,v5)) = v7.
a(x,y,z * L(u,w,v5)) = a(x,y,z * ((v5 * (u \ w)) \ (w * v5))).
a(x,y,z * ((u * (w \ v5)) \ (v5 * u))) = a(x,y,z * L(w,v5,u)).
a(x,y,z * L(u,u \ w,v5)) = a(x,y,z * L(u,w,v5)).
a(x,y,z * L(u,u \ w,w \ z)) = a(x,y,(u * w) * (w \ 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)).
(L(x,y,z) * a(u,w,x)) \ L(L(x,w,u \ x),y,z) = a(z,y,a(x,w,u)).
L(x * a(y,x,z * z),y,z \ (z \ 1)) = L(x,u \ (z \ (z \ u)),y).
L(x * a(y,x,z * u),y,z \ (u \ 1)) != w | L(x,z * u,y \ 1) = w.
L(x,y * y,z \ 1) = L(x,u \ (y \ (y \ u)),z).
L(x,y \ (z \ (z \ y)),u) = L(x,z * z,u \ 1).
L(x * a(y \ (z \ u),x,w),w,y \ (z \ u)) = L(x,y \ (u * (z \ 1)),w).
L(x,y \ (z \ u),w) = L(x,y \ (u * (z \ 1)),w).
L(x,y \ (z * (u \ 1)),w) = L(x,y \ (u \ z),w).
L(x,y \ ((z \ 1) * u),w) = L(x,y \ (z \ u),w).
L(x,y \ (z * (u * (w \ 1))),v5) = L(x,y \ ((w * (u \ 1)) \ z),v5).
L(x,y \ ((z * (u \ 1)) \ w),v5) = L(x,y \ (w * (u * (z \ 1))),v5).
L(x,y \ (z * u),w) = L(x,y \ ((z \ 1) \ u),w).
L(x,y \ ((z \ 1) \ u),w) = L(x,y \ (z * u),w).
L(x,y,L(z * (u \ w),u,z)) != v5 | L(x,y,w * (z * (u \ 1))) = v5.
L(x,y,z * (u * ((w \ v5) \ 1))) = L(x,y,(u * L(z,u,w \ v5)) * (v5 \ w)).
L(x,y,(z * L(u,z,w \ v5)) * (v5 \ w)) = L(x,y,u * (z * ((w \ v5) \ 1))).
L(x,y,(z \ u) * (w * L(v5,w,u \ z))) = L(x,y,v5 * (w * ((u \ z) \ 1))).
L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u * ((v5 \ w) \ 1))).
L(x,y,z * (u * ((w \ v5) \ 1))) = L(x,y,z * (u * (v5 \ w))).
L(x,y,z * (u * (w \ 1))) != v5 | L(x,y,z * (w \ u)) = v5.
L(x,y,z * ((u \ w) \ v5)) = L(x,y,z * (v5 * (w \ u))).
L(x,y * ((z \ u) \ w),v5) = L(x * a(y * ((z \ u) \ w),x,v5),v5,y * (w * (u \ z))).
L(x * a(y * ((z \ u) \ w),x,v5),v5,y * (w * (u \ z))) = L(x,y * ((z \ u) \ w),v5).
a(x,y,z * ((u \ w) \ v5)) = x \ L(x,y,z * (v5 * (w \ u))).
x \ L(x,y,z * (u * (w \ v5))) = a(x,y,z * ((v5 \ w) \ u)).
x != L(y,z,u * (w * v5)) | L(y,z,u * (v5 * w)) = x.
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 * ((y \ u) \ w)) != v5 | L(x,y,z * (u \ (y * w))) = v5.
L(x,y,z * (u \ (y * w))) = L(x,y,z * (w * (u \ y))).
L(x,y,z * (u \ (w \ 1))) != v5 | L(x,y,(w * u) \ z) = v5.
L(x,y,(z * (u \ w)) \ v5) = L(x,y,v5 * ((z \ 1) * (w \ u))).
L(x,y,z * ((u \ 1) * (w \ v5))) = L(x,y,(u * (v5 \ w)) \ z).
L(x,y,z * ((u \ w) \ (v5 \ w))) != v6 | L(x,y,z * (w \ (v5 \ (w * u)))) = v6.
L(x,y,z * (u \ (w \ (u * v5)))) = L(x,y,z * ((w \ u) * (u \ v5))).
L(x,y,z * (u \ w)) = L(x,y,z * (w * (v5 \ (u \ v5)))).
L(x,y,z * (u * (w \ (v5 \ w)))) = L(x,y,z * (v5 \ u)).
L(x,y,z * ((u \ (w * (v5 \ w))) \ v6)) = L(x,y,z * (v6 * (w \ ((u \ w) \ v5)))).
L(x,y,z * (((u \ w) \ (w * v5)) \ v6)) = L(x,y,z * (v6 * (w \ (u \ (v5 \ w))))).
L(x,y,z * ((u \ w) \ (w * v5))) = L(x,y,z * (w * ((v5 \ w) \ u))).
L(x,y,z * (((u * ((w \ 1) \ v5)) \ (w * u)) \ v6)) = L(x,y,z * (v6 * L(L(v5,w,u),w,w))).
L(x,y,z * (((u \ (w \ 1)) \ ((v5 \ w) \ 1)) \ v6)) = L(x,y,z * (v6 * ((w \ 1) \ (u \ ((w * v5) \ 1))))).
L(x,y,z * (u \ w)) = L(x,y,z * ((v5 \ (u \ v5)) * w)).
L(x,y,z * ((u \ (w \ u)) * v5)) = L(x,y,z * (w \ v5)).
L(x,y,z * ((u \ w) \ v5)) != v6 | L(x,y,z * (v5 * (w \ u))) = v6.
L(x,y,y * (z * (y \ u))) != w | L(x,y,u * z) = w.
L(x,y,(z \ y) * u) = L(x,y,y * (z \ u)).
L(x,y,z * ((u * L(w,u,v5)) * (v6 \ (v5 \ v6)))) = L(x,y,z * L(u * (v5 \ w),v5,u)).
L(x,y,z * (u * L(w \ v5,v6,v7))) = L(x,y,z * (L(v5 \ w,v6,v7) \ u)).
L(x,y,z * (L(u \ w,v5,v6) \ v7)) = L(x,y,z * (v7 * L(w \ u,v5,v6))).
a(x,y,z * (u * (w \ v5))) = a(x,y,z * ((v5 \ w) \ u)).
a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * (v5 * (w \ u))).
a(x,y,z * ((u \ w) \ v5)) != v6 | a(x,y,z * (v5 * (w \ u))) = v6.
a(x,y,z * ((u \ z) \ w)) != v5 | a(x,y,(u * z) * (z \ w)) = v5.
a(x,y,(z * u) * (u \ w)) = a(x,y,u * (w * (u \ z))).
a(x,y,z * (((u \ w) \ (w * v5)) \ v6)) = a(x,y,z * (v6 * (w \ (u \ (v5 \ w))))).
a(x,y,z * ((u \ w) \ (v5 \ w))) = a(x,y,z * (w * ((w * v5) \ u))).
L(x,y,z * ((u \ 1) * w)) != v5 | L(x,y,z * (u \ w)) = v5.
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))).
L(x,y,(z \ (u * (w \ v5))) \ x) = L(x,y,z * (u \ (v5 \ w))).
L(x,y,(z * (u \ (w \ u))) \ v5) != v6 | L(x,y,v5 * (z \ L(w,w,u))) = v6.
L(x,y,z * (u \ L(w,w,v5))) = L(x,y,z * (u \ ((w \ v5) \ v5))).
x \ y != L(z,u,(w * (v5 \ v6)) \ v7) | L(z,u,v7 * (w \ (v6 \ v5))) \ y = x.
L(x,y,z * (u \ (w \ v5))) \ x = a((u * (v5 \ w)) \ z,y,x).
L(x,y,(z * u) \ w) = L(x,y,w * (z \ (v5 \ (u \ v5)))).
L(x,y,z * (u \ (w \ (v5 \ w)))) = L(x,y,(u * v5) \ z).
L(x,y,z * (u \ (w \ (w \ (v5 \ w))))) = L(x,y,(u * (w * v5)) \ z).
a(x * (y \ (z \ u)),w,v5) = a((y * (u \ z)) \ x,w,v5).
a((x * (y \ z)) \ u,w,v5) = a(u * (x \ (z \ y)),w,v5).
a((x * (y \ z)) \ u,w,v5) != v6 | a(u * (x \ (z \ y)),w,v5) = v6.
a((x * y) \ z,u,w) = a(z * (x \ (y \ 1)),u,w).
a(x * (y \ (z \ 1)),u,w) = a((y * z) \ x,u,w).
a((x * y) \ z,u,w) = a(z * (x \ (v5 \ (y \ v5))),u,w).
a(x * (y \ (z \ (u \ z))),w,v5) = a((y * u) \ x,w,v5).
a(x * ((y \ (z \ 1)) \ ((z \ 1) * ((z \ 1) * u))),w,v5) = a(((y \ ((z \ 1) \ (u \ (z \ 1)))) * z) \ x,w,v5).
a(x * (y \ (z \ 1)),u,w) != v5 | a((z * y) \ x,u,w) = v5.
L(x,y,z * (u * ((w \ v5) \ 1))) != v6 | L(x,y,z * (u * (v5 \ w))) = v6.
a(x,y,(z * u) * (u \ w)) != v5 | a(x,y,u * (w * (u \ z))) = v5.
L(x,y,z * (u \ L(w,w,v5))) = L(x,y,z * (u \ w)).
a(((x \ y) * z) \ u,w,v5) != v6 | a(u * (z \ (y \ x)),w,v5) = v6.
a((x * (y * (z \ 1))) \ u,w,v5) != v6 | a(u * (x \ (1 \ ((y \ 1) * z))),w,v5) = v6.
a(x,y,(z * u) * (z \ w)) != v5 | a(x,y,z * (w * (z \ u))) = v5.
L(x,y,z * (u * ((w \ u) \ v5))) != v6 | L(x,y,z * ((u * w) * (u \ v5))) = v6.
a(x,y,z * ((u \ w) * (w \ v5))) = a(x,y,z * (w * ((w * u) \ v5))).
a(x,y,z * (u * ((u * w) \ v5))) != v6 | a(x,y,z * ((w \ u) * (u \ v5))) = v6.
a(x,y,z * ((u \ w) * (v5 \ u))) = a(x,y,z * (u * ((u * v5) \ w))).
L(x,y,z * ((u \ (w \ (u * v5))) \ v6)) = L(x,y,z * (v6 * L((u * v5) \ (w * u),u,v5 \ 1))).
L(x,y,z * (u * L((w * v5) \ (v6 * w),w,v5 \ 1))) = L(x,y,z * ((w \ (v6 \ (w * v5))) \ u)).
L(x,y,z * (u * ((w * (v5 \ w)) \ v6))) = L(x,y,z * (u * (w \ ((v6 \ w) \ v5)))).
L(x,y,z * (u * ((w * v5) \ (v6 \ w)))) = L(x,y,z * (u * (w \ (v6 \ (v5 \ w))))).
a(x,y,z * (u * ((w * v5) \ (v6 \ w)))) = a(x,y,z * (u * (w \ (v6 \ (v5 \ w))))).
a(x,y,z * (u * ((w * v5) \ (v6 \ v5)))) = a(x,y,z * (u * (v5 \ (v6 \ (w \ v5))))).
a(x,y,z * (u * ((w * 1) \ (((v5 \ 1) \ w) \ 1)))) = a(x,y,z * (u * (1 \ (v5 \ (w \ (w \ 1)))))).
L(x,y,z * (u * (w * L(v5 \ 1,v5,v6)))) = L(x,y,z * L(w * (v5 \ u),v5,w)).
L(x,y,z * L(u * (w \ v5),w,u)) = L(x,y,z * (v5 * (u * L(w \ 1,w,v6)))).
L(x,y,z * L(u * (w \ v5),w,u)) = L(x,y,z * (v5 * (w \ u))).
L(x,y,z * L(u,y,w)) != v5 | L(x,y,z * u) = v5.
L(x,y,z * (u * (y \ w))) = L(x,y,z * (w * (y \ u))).
L(x,y,z * (u * ((u * w) \ v5))) = L(x,y,z * ((u \ v5) * (w \ u))).
L(x,y,z * ((u \ w) * (v5 \ u))) = L(x,y,z * (u * ((u * v5) \ w))).
L(x,y,z * (u * L(w \ v5,w,w \ y))) = L(x,y,z * ((v5 * (w \ y)) * (y \ u))).
L(x,y,z * ((u * (w \ y)) * (y \ v5))) = L(x,y,z * (v5 * L(w \ u,w,w \ y))).
L(x,y,z * ((u \ w) * (w \ v5))) = L(x,y,z * (w * ((w * u) \ v5))).
L(x,y,z * ((u \ w) * (L(v5 \ v6,v5,v6 \ u) \ u))) = L(x,y,z * (u * ((v6 * (v5 \ u)) \ w))).
L(x,y,z * ((u \ w) * (w \ v5))) != v6 | L(x,y,z * (w \ (u \ (w * v5)))) = v6.
L(x,y,z * (u \ (w \ (u * v5)))) = L(x,y,z * (u * ((u * w) \ v5))).
x \ y != L(z,u,w * (v5 \ (v6 \ (v5 * v7)))) | L(z,u,w * (v5 * ((v5 * v6) \ v7))) \ y = x.
L(x,y,z * (u * ((u * w) \ v5))) \ x = a(z * (u \ (w \ (u * v5))),y,x).
a(x * (y \ (z \ (y * u))),w,v5) != v6 | a(x * (y * ((y * z) \ u)),w,v5) = v6.
(x * y) \ (x * (z * ((z \ y) \ 1))) = (x * z) * (((x * y) * (x * y)) \ (x * z)).
(x * y) * (((x * z) * (x * z)) \ (x * y)) = (x * z) \ (x * (y * ((y \ z) \ 1))).
((x * y) \ (x * ((y * z) * (((y * z) \ y) \ 1)))) \ 1 = L(z,y,x) \ (((x * y) \ (x * (y * z))) \ 1).
L(x,y,z) \ (((z * y) \ (z * (y * x))) \ 1) = ((z * y) \ (z * ((y * x) * (((y * x) \ y) \ 1)))) \ 1.
a(x * (y * (z \ (x \ z))),u,w) != v5 | a(y * a(z,x,x),u,w) = v5.
a(x * a(y,z,z),u,L(w,y,z * x)) = a((z \ y) * ((z * x) * (y \ 1)),u,w).
a((x \ y) * ((x * z) * (y \ 1)),u,w) = a(z * a(y,x,x),u,L(w,y,x * z)).
a((x \ y) * (y \ (x * z)),u,w) = a(z * a(y,x,x),u,L(w,y,x * z)).
a(x * a(y,z,z),u,L(w,y,z * x)) = a((z \ y) * (y \ (z * x)),u,w).
L(x,y,L(z \ u,z,u \ (w \ v5)) \ (w \ v5)) = L(x,y,z * (u \ (v5 * (w \ 1)))).
L(x,y,z * (u \ (w \ v5))) = L(x,y,z * (u \ (v5 * (w \ 1)))).
L(x,y,z * (u \ (w * (v5 \ 1)))) = L(x,y,z * (u \ (v5 \ w))).
L(L(x,y,y),y \ 1,(y \ 1) \ z) = z \ (((y \ 1) \ z) * (((y \ 1) \ 1) \ x)).
L(L(x,y,y),y,z \ (y \ 1)) = z \ (((y \ 1) \ z) * (((y \ 1) \ 1) \ x)).
L(L(x,y,y),y,z \ (y \ 1)) = z \ (((y \ 1) \ z) * (y \ x)).
x \ ((y \ z) * ((y \ 1) \ x)) = L(L(z,y,y),y,x \ (y \ 1)).
L(L(x,y,y),y,z \ (y \ 1)) = z \ ((y \ x) * ((y \ 1) \ z)).
x \ y != z \ (((u \ 1) \ z) * (u \ w)) | x * L(L(w,u,u),u,z \ (u \ 1)) = y.
x * L(L(y,z,z),z,x \ (z \ 1)) = (z \ y) * ((z \ 1) \ x).
x \ y != z \ ((u \ w) * ((u \ 1) \ z)) | L(L(w,u,u),u,z \ (u \ 1)) \ y = x.
L(L(x,y,y),y,z \ (y \ 1)) \ z = (y \ 1) * ((y \ x) \ z).
L(x * (L(L(y,z,z),z,x \ (z \ 1)) \ 1),L(L(y,z,z),z,x \ (z \ 1)),L(L(y,z,z),z,x \ (z \ 1))) = (z \ 1) * ((z \ y) \ x).
L(L(x,y,y),y,y \ (z \ u)) \ (u \ z) = (y \ 1) * ((y \ x) \ (u \ z)).
L(x,y,z \ ((u \ 1) \ (1 * ((w \ 1) \ (v5 \ 1))))) = L(x,y,((u \ (w \ v5)) * z) \ 1).
x != L(y,z,(u * w) \ 1) | L(y,z,u \ (w \ 1)) = x.
L(x,y,(z \ (u \ w)) \ (v5 \ 1)) = L(x,y,v5 \ ((z \ 1) \ (1 * ((u \ 1) \ (w \ 1))))).
L(x,y,z \ ((u \ 1) \ (1 * ((w \ 1) \ (v5 \ 1))))) = L(x,y,(u \ (w \ v5)) \ (z \ 1)).
x != L(y,z,(u \ w) \ v5) | L(y,z,v5 * (w \ u)) = x.
L(x,y,(z \ 1) * ((u \ w) \ v5)) = L(x,y,z \ ((v5 \ 1) \ (1 * ((u \ 1) \ (w \ 1))))).
L(x,y,z \ ((u \ 1) \ (1 * ((w \ 1) \ (v5 \ 1))))) = L(x,y,(z \ 1) * ((w \ v5) \ u)).
x != L(y,z,u * ((w \ v5) \ v6)) | L(y,z,u * (v6 * (v5 \ w))) = x.
L(x,y,(z \ 1) * (u * (w \ v5))) = L(x,y,z \ ((u \ 1) \ (1 * ((v5 \ 1) \ (w \ 1))))).
L(x,y,z \ ((u \ 1) \ (1 * ((w \ 1) \ (v5 \ 1))))) = L(x,y,(z \ 1) * (u * (v5 \ w))).
L(x,y,z \ (u * (w \ v5))) = L(x,y,z \ ((u \ 1) \ (1 * ((v5 \ 1) \ (w \ 1))))).
L(x,y,z \ ((u \ 1) \ (1 * ((w \ 1) \ (v5 \ 1))))) = L(x,y,z \ (u * (v5 \ w))).
L(x,y,z \ ((u \ 1) \ (1 * ((w \ v5) \ 1)))) = L(x,y,z \ (u * (v5 \ w))).
L(x,y,z \ ((u \ (w \ v5)) \ 1)) = L(x,y,z \ (u * (v5 \ w))).
L(x,y,z \ ((u \ w) \ 1)) != v5 | L(x,y,z \ (w \ u)) = v5.
L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ (v5 * (w \ u))).
a(x,y,z \ ((u \ w) \ v5)) = x \ L(x,y,z \ (v5 * (w \ u))).
x \ L(x,y,z \ (u * (w \ v5))) = a(x,y,z \ ((v5 \ w) \ u)).
x \ y != L(z,u,w \ ((v5 \ v6) \ v7)) | L(z,u,w \ (v7 * (v6 \ v5))) \ y = x.
L(x,y,z \ (u * (w \ v5))) \ x = a(z \ ((v5 \ w) \ u),y,x).
L(x,y,z * (u \ ((w \ v5) \ v6))) = L(x,y,L(z \ u,z,u \ ((w \ v5) \ v6)) \ (v6 * (v5 \ w))).
L(x,y,L(z \ u,z,u \ ((w \ v5) \ v6)) \ (v6 * (v5 \ w))) = L(x,y,z * (u \ ((w \ v5) \ v6))).
a(x,y,(z * L(u,z,w \ (v5 * (v6 \ v7)))) \ (w \ ((v7 \ v6) \ v5))) = a(u * ((w \ ((v7 \ v6) \ v5)) \ z),y,x).
a(x,y,z \ (u * (w \ v5))) = a(x,y,z \ ((v5 \ w) \ u)).
a(x,y,z \ ((u \ w) \ v5)) = a(x,y,z \ (v5 * (w \ u))).
a(x,y,(z \ 1) * (((z \ 1) * u) \ w)) = a(x,y,(z * u) \ (w * (1 \ z))).
a(x \ (y * (z \ u)),w,v5) = a(x \ ((u \ z) \ y),w,v5).
a(x \ ((y \ z) \ u),w,v5) = a(x \ (u * (z \ y)),w,v5).
a(x \ (y \ z),u,w) != v5 | a(w,u,x * (z \ y)) = v5.
a(x,y,z * (u \ (w \ v5))) = a(z \ (u * (v5 \ w)),y,x).
a(x \ (y * (z \ u)),w,v5) = a(v5,w,x * (y \ (u \ z))).
a(x \ (y \ (z * (u \ z))),w,v5) = a(x \ (z * (u \ (y \ z))),w,v5).
a(x,y,(z * (u \ w)) \ v5) = a(x,y,v5 * (z \ (w \ u))).
x != a(y,z,u * ((w \ 1) \ v5)) | a(y,z,u * (w * v5)) = x.
a(x,y,z * (u * (w \ v5))) = a(z \ ((u \ 1) * (v5 \ w)),y,x).
a(x \ ((y \ 1) * (z \ u)),w,v5) = a(v5,w,x * (y * (u \ z))).
a(x,y,z \ (u * (w \ z))) = a(x,y,z * (w \ (z \ u))).
a(x,y,z * (u * (z \ w))) = a(x,y,z \ (w * ((u \ 1) \ z))).
a(x,y,z \ (u * ((w \ 1) \ z))) = a(x,y,z * (w * (z \ u))).
a((x * y) \ (y * (z \ x)),u,w) != v5 | a(w,u,L(z,x,y)) = v5.
a(x,y,L(z,u,w \ 1)) = a(x,y,(u * (w \ 1)) * (w * (u \ z))).
a(x,y,(z * (u \ 1)) * (u * (z \ w))) = a(x,y,L(w,z,u \ 1)).
a(x,y,L(z,u,w \ 1)) != v5 | a(x,y,(w * (u \ z)) * (u * (w \ 1))) = v5.
a(x,y,(z \ 1) * (((z \ 1) * u) \ w)) = a(x,y,(z * u) \ (w * z)).
a(x,y,(z \ 1) * (((z \ 1) * u) \ w)) = a(x,y,(z * u) \ (z * w)).
a(x,y,(z \ 1) * ((u * (z \ 1)) \ w)) = a(x,y,(z * u) \ (z * w)).
L(x,y,z * (((u * ((w \ 1) \ v5)) \ (u * w)) \ v6)) = L(x,y,z * (v6 * L(L(v5,w,u),w,w))).
L(x,y,z * (u * ((w * v5) \ (w * ((v5 \ 1) \ v6))))) = L(x,y,z * (u * L(L(v6,v5,w),v5,v5))).
L(x,y,z * (u * L(L(w,v5,v6),v5,v5))) = L(x,y,z * (u * ((v6 * v5) \ (v6 * ((v5 \ 1) \ w))))).
L(x,y,z * (u * L(w,v5,v5))) != v6 | L(x,y,z * (u * w)) = v6.
L(x,y,z * (u * L(w,v5,v6))) = L(x,y,z * (u * ((v6 * v5) \ (v6 * ((v5 \ 1) \ w))))).
L(x,y,z * (u * ((w * v5) \ (w * ((v5 \ 1) \ v6))))) = L(x,y,z * (u * L(v6,v5,w))).
L(x \ L(y,z,u),L(y,w,v5),x) \ L(y,z,u) = (v6 * a(y,y,L(x,v7,v8))) \ (v6 * x).
x != (y * a(z,u,L(w,v5,v6))) \ (y * w) | L(w,u,L(z,v5,v6)) = x.
L(x,y,L(y,z,u)) = L(x \ L(y,w,v5),L(y,v6,v7),x) \ L(y,w,v5).
L(x,y,z * (u * ((w \ (v5 * v6)) \ v5))) = L(x,y,z * (u * L((v5 * v6) \ (w * v5),v5,v6 \ 1))).
L(x,y,z * (u * L((w * v5) \ (v6 * w),w,v5 \ 1))) = L(x,y,z * (u * ((v6 \ (w * v5)) \ w))).
L(x,y,z * ((u \ w) * (v5 * (v6 \ u)))) = L(x,y,z * (u * ((v6 * (v5 \ u)) \ w))).
L(x,y,z * ((u * (w \ v5)) * (v5 \ v6))) = L(x,y,z * (v5 * ((w * (u \ v5)) \ v6))).
L(x,y,z * (u * ((w * (v5 \ u)) \ v6))) != v7 | L(x,y,z * ((v5 * (w \ u)) * (u \ v6))) = v7.
L(x,y,z * (u * ((w * (v5 \ u)) \ v6))) != v7 | L(x,y,z * ((u \ v6) * (v5 * (w \ u)))) = v7.
L(x,y,L(z \ u,z,u \ (w * (v5 \ v6))) \ (w * (v5 \ v6))) = L(x,y,z * (u \ ((v6 \ v5) \ w))).
L(x,y,z * (u \ (w * (v5 \ v6)))) = L(x,y,z * (u \ ((v6 \ v5) \ w))).
L(x,y,z * (u \ ((w \ v5) \ v6))) = L(x,y,z * (u \ (v6 * (v5 \ w)))).
L(x,y,z \ (u \ ((w \ v5) \ v6))) = L(x,y,(z \ 1) * (u \ (v6 * (v5 \ w)))).
L(x,y,(z \ 1) * (u \ (w * (v5 \ v6)))) = L(x,y,z \ (u \ ((v6 \ v5) \ w))).
L(x,y,z * (u \ (w \ (w \ (v5 \ w))))) != v6 | L(x,y,(u * (w * v5)) \ z) = v6.
L(x,y,(z * ((u \ w) * v5)) \ v6) = L(x,y,v6 * (z \ (((u \ w) \ (v5 \ (u \ w))) * (w \ u)))).
L(x,y,z * (u \ (((w \ v5) \ (v6 \ (w \ v5))) * (v5 \ w)))) = L(x,y,(u * ((w \ v5) * v6)) \ z).
x \ y != L(z,u,w * (v5 \ ((v6 \ v7) \ v8))) | L(z,u,w * (v5 \ (v8 * (v7 \ v6)))) \ y = x.
L(x,y,z * (u \ (w * (v5 \ v6)))) \ x = a(z * (u \ ((v6 \ v5) \ w)),y,x).
L(x,y,z * (u \ (w \ v5))) = L(x,y,z * (u \ (v5 * (v6 \ (w \ v6))))).
L(x,y,z * (u \ (w * (v5 \ (v6 \ v5))))) = L(x,y,z * (u \ (v6 \ w))).
L(x,y,z * (u \ ((u \ w) \ (w * v5)))) = L(x,y,z * L(v5,w,w \ u)).
L(x,y,z * (u * (w \ ((v5 \ v6) \ v7)))) = L(x,y,z * (L(u \ w,u,w \ ((v5 \ v6) \ v7)) \ (v7 * (v6 \ v5)))).
L(x,y,z * (L(u \ w,u,w \ ((v5 \ v6) \ v7)) \ (v7 * (v6 \ v5)))) = L(x,y,z * (u * (w \ ((v5 \ v6) \ v7)))).
L(x,y,z * (u * ((w \ v5) \ v6))) = L(x,y,z * ((u \ a((w \ v5) \ v6,u,u)) \ (v6 * (v5 \ w)))).
L(x,y,z * ((u \ a((w \ v5) \ v6,u,u)) \ (v6 * (v5 \ w)))) = L(x,y,z * (u * ((w \ v5) \ v6))).
L(x,y,z * L(u,w,v5 \ w)) = L(x,y,z * L(u,v5,v5 \ w)).
L(x,y,z \ (u \ (w * (v5 \ v6)))) = L(x,y,z \ (u \ ((v6 \ v5) \ w))).
L(x,y,z \ (u \ ((w \ v5) \ v6))) = L(x,y,z \ (u \ (v6 * (v5 \ w)))).
a(x,y,z \ (u \ ((w \ v5) \ v6))) = x \ L(x,y,z \ (u \ (v6 * (v5 \ w)))).
x \ L(x,y,z \ (u \ (w * (v5 \ v6)))) = a(x,y,z \ (u \ ((v6 \ v5) \ w))).
x \ y != L(z,u,w \ (v5 \ ((v6 \ v7) \ v8))) | L(z,u,w \ (v5 \ (v8 * (v7 \ v6)))) \ y = x.
L(x,y,z \ (u \ (w * (v5 \ v6)))) \ x = a(z \ (u \ ((v6 \ v5) \ w)),y,x).
L(x,y,z * (u \ (w \ ((v5 \ v6) \ v7)))) = L(x,y,L(z \ u,z,u \ (w \ ((v5 \ v6) \ v7))) \ (w \ (v7 * (v6 \ v5)))).
L(x,y,L(z \ u,z,u \ (w \ ((v5 \ v6) \ v7))) \ (w \ (v7 * (v6 \ v5)))) = L(x,y,z * (u \ (w \ ((v5 \ v6) \ v7)))).
L(x,y,z \ (u * ((w \ v5) \ v6))) = L(x,y,z \ ((u \ a((w \ v5) \ v6,u,u)) \ (v6 * (v5 \ w)))).
L(x,y,z \ ((u \ a((w \ v5) \ v6,u,u)) \ (v6 * (v5 \ w)))) = L(x,y,z \ (u * ((w \ v5) \ v6))).
a(x * (y \ (z * (u \ w))),v5,v6) = a(x * (y \ ((w \ u) \ z)),v5,v6).
a(x * (y \ ((z \ u) \ w)),v5,v6) = a(x * (y \ (w * (u \ z))),v5,v6).
a(x * (y \ ((z \ u) \ w)),v5,v6) != v7 | a(x * (y \ (w * (u \ z))),v5,v6) = v7.
a(x * (y \ (z \ u)),w,v5) = a(x * (y \ (u * (v6 \ (z \ v6)))),w,v5).
a(x * (y \ (z * (u \ (w \ u)))),v5,v6) = a(x * (y \ (w \ z)),v5,v6).
a(x * (y \ ((z \ (u \ 1)) \ u)),w,v5) = a(x * (y \ (z \ ((u * z) * (u * z)))),w,v5).
a(x * (y \ (z \ ((u * z) * (u * z)))),w,v5) = a(x * (y \ ((z \ (u \ 1)) \ u)),w,v5).
a(x * (y \ (z * ((z * (u \ 1)) \ w))),v5,v6) = a(x * (y \ (w * (a(z \ w,z,u) \ u))),v5,v6).
a(x * (y \ (z * (a(u \ z,u,w) \ w))),v5,v6) = a(x * (y \ (u * ((u * (w \ 1)) \ z))),v5,v6).
a(x,y,z \ (u \ ((w \ v5) \ v6))) != v7 | a(x,y,z \ (u \ (v6 * (v5 \ w)))) = v7.
a(x \ (y \ (z * (u \ w))),v5,v6) = a(x \ (y \ ((w \ u) \ z)),v5,v6).
a(x \ (y \ ((z \ u) \ w)),v5,v6) = a(x \ (y \ (w * (u \ z))),v5,v6).
a(x \ y,z,u) != w | a(u,z,1 * (y \ x)) = w.
a(x,y,1 * ((z \ ((u \ w) \ v5)) \ v6)) = a(v6 \ (z \ (v5 * (w \ u))),y,x).
a(x,y,1 * ((z \ ((u \ 1) \ w)) \ v5)) = a(v5 \ (z \ (w * u)),y,x).
a(x,y,1 * ((z \ ((u \ 1) \ w)) \ v5)) = a(v5 \ (z \ (u * w)),y,x).
a(x,y,(z \ ((u \ 1) \ w)) \ v5) = a(v5 \ (z \ (u * w)),y,x).
a(x,y,(z \ u) \ w) != v5 | a(x,y,w * (u \ z)) = v5.
a(x,y,z * (((u \ 1) \ w) \ v5)) = a(z \ (v5 \ (u * w)),y,x).
a(x,y,z * (u * (w \ (v5 \ 1)))) = a(z \ (u \ (v5 * w)),y,x).
a(x,y,z * (u * (w \ (v5 \ (v5 \ 1))))) = a(z \ (u \ (v5 * ((w \ 1) \ v5))),y,x).
a(x \ (y \ (z * ((u \ 1) \ z))),w,v5) = a(v5,w,x * (y * (u \ (z \ (z \ 1))))).
a(x \ (y \ (z * (u \ z))),w,v5) != v6 | a(x \ (z * (u \ (y \ z))),w,v5) = v6.
a(x \ (y * ((z \ 1) \ (u \ y))),w,v5) = a(v5,w,x * (u * (z \ (y \ (y \ 1))))).
a(x * (y \ (z \ ((u * z) * (u * z)))),w,v5) = a(x * (y \ ((z \ 1) \ (u * u))),w,v5).
L(x,y,z * (u \ (((w \ v5) \ (v6 \ (w \ v5))) * (v5 \ w)))) = L(x,y,(u * (v6 * (w \ v5))) \ z).
L(x,y,z * (u \ ((w \ v5) * ((v5 \ w) \ (v6 \ (v5 \ w)))))) = L(x,y,(u * (v6 * (v5 \ w))) \ z).
L(x,y,z * (u \ (w * (v5 \ (v6 \ v5))))) != v7 | L(x,y,z * (u \ (v6 \ w))) = v7.
L(x,y,z * (u \ (w \ (v5 \ v6)))) = L(x,y,(u * (w * (v6 \ v5))) \ z).
L(x,y,(z * (u * (w \ v5))) \ v6) = L(x,y,v6 * (z \ (u \ (v5 \ w)))).
L(x,(y * (z * (u \ w))) \ v5,v6) = L(x * a((y * (z * (u \ w))) \ v5,x,v6),v6,v5 * (y \ (z \ (w \ u)))).
L(x * a((y * (z * (u \ w))) \ v5,x,v6),v6,v5 * (y \ (z \ (w \ u)))) = L(x,(y * (z * (u \ w))) \ v5,v6).
x \ y != L(z,u,(w * (v5 * (v6 \ v7))) \ v8) | L(z,u,v8 * (w \ (v5 \ (v7 \ v6)))) \ y = x.
L(x,y,z * (u \ (w \ (v5 \ v6)))) \ x = a((u * (w * (v6 \ v5))) \ z,y,x).
L(x,y,(z * (u * w)) \ v5) = L(x,y,v5 * (z \ (u \ (w \ 1)))).
L(x,y,z * (u \ (w \ (v5 \ 1)))) = L(x,y,(u * (w * v5)) \ z).
L(x,y,((z \ a(u \ (w \ v5),z,z)) * (u * (v5 \ w))) \ v6) = L(x,y,v6 * (z * (u \ (w \ v5)))).
L(x,y,z \ (u \ (w \ 1))) = L(x,y,(z * (u * w)) \ 1).
L(x,y,(z * (u * w)) \ 1) = L(x,y,z \ (u \ (w \ 1))).
a(x * (y \ (z \ (u \ w))),v5,v6) = a((y * (z * (w \ u))) \ x,v5,v6).
a((x * (y * (z \ u))) \ w,v5,v6) = a(w * (x \ (y \ (u \ z))),v5,v6).
a((x * (y * (z \ u))) \ w,v5,v6) != v7 | a(w * (x \ (y \ (u \ z))),v5,v6) = v7.
a(x,y,z \ (u * (w * (v5 \ v6)))) = a(z * (u \ (w \ (v6 \ v5))),y,x).
a(x * (y \ (z \ (u \ w))),v5,v6) = a(v6,v5,x \ (y * (z * (w \ u)))).
a((x * (y * (z \ 1))) \ u,w,v5) = a(u * (x \ (y \ z)),w,v5).
a((x * (y * ((z * (u \ 1)) \ (w \ 1)))) \ v5,v6,v7) = a(v5 * (x \ (y \ (1 \ ((u * (z \ 1)) \ w)))),v6,v7).
a(x * (y \ (1 \ ((z \ 1) * u))),w,v5) = a(x * (y \ (z \ u)),w,v5).
a((x * ((y * z) \ 1)) \ u,w,v5) = a(u * (x \ ((y \ 1) \ z)),w,v5).
a(x * (y \ ((z \ 1) * u)),w,v5) = a(x * (y \ (z \ u)),w,v5).
L(x,y,z * ((u \ a(w * (v5 \ v6),u,u)) \ (w * (v5 \ v6)))) = L(x,y,z * (u * ((v6 \ v5) \ w))).
L(x,y,z \ ((u \ a(w * (v5 \ v6),u,u)) \ (w * (v5 \ v6)))) = L(x,y,z \ (u * ((v6 \ v5) \ w))).
a(x * (y \ (z * L(u,w,w \ z))),v5,v6) = a(x * (y \ (w * ((w * (u \ 1)) \ z))),v5,v6).
a(x * (y \ ((z \ u) * (z * w))),v5,v6) = a(x * (y \ (z * ((z * (w \ 1)) \ u))),v5,v6).
a(x * (y \ (z * ((z * (u \ 1)) \ w))),v5,v6) = a(x * (y \ ((z \ w) * (z * u))),v5,v6).
L(x,y,((z * (u \ w)) * (v5 \ a(z \ (w \ u),v5,v5))) \ v6) = L(x,y,v6 * (v5 * (z \ (w \ u)))).
L(x,y,z * (u * (w * (v5 \ v6)))) = L(x,y,z * (u * ((v6 \ v5) \ w))).
L(x,y,z * (u * ((w \ v5) \ v6))) = L(x,y,z * (u * (v6 * (v5 \ w)))).
L(x,y,z * ((u * (w \ v5)) * v6)) = L(x,y,z * (v6 * ((v5 \ w) \ u))).
L(x,y,z * ((u * w) * (u \ v5))) = L(x,y,z * (u * (v5 * (u \ w)))).
L(x,y * (z * ((u \ w) \ v5)),v6) = L(x * a(y * (z * ((u \ w) \ v5)),x,v6),v6,y * (z * (v5 * (w \ u)))).
L(x * a(y * (z * ((u \ w) \ v5)),x,v6),v6,y * (z * (v5 * (w \ u)))) = L(x,y * (z * ((u \ w) \ v5)),v6).
a(x,y,z * (u * ((w \ v5) \ v6))) = x \ L(x,y,z * (u * (v6 * (v5 \ w)))).
x \ L(x,y,z * (u * (w * (v5 \ v6)))) = a(x,y,z * (u * ((v6 \ v5) \ w))).
L(x,y,z * (u * ((w \ (v5 * v6)) \ v5))) != v7 | L(x,y,z * (u * L((v5 * v6) \ (w * v5),v5,v6 \ 1))) = v7.
L(x,y,z * (u * L((w * v5) \ (v6 * w),w,v5 \ 1))) = L(x,y,z * (u * (w * ((w * v5) \ v6)))).
x \ y != L(z,u,w * (v5 * ((v6 \ v7) \ v8))) | L(z,u,w * (v5 * (v8 * (v7 \ v6)))) \ y = x.
L(x,y,z * (u * (w * (v5 \ v6)))) \ x = a(z * (u * ((v6 \ v5) \ w)),y,x).
L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u * (v5 * (v6 \ (w \ v6))))).
L(x,y,z * (u * (w * (v5 \ (v6 \ v5))))) = L(x,y,z * (u * (v6 \ w))).
L(x,y,z * (u * ((w * (v5 \ w)) \ v6))) = L(x,y,z * (u * (v6 * (w \ (w \ v5))))).
L(x,y,z * (u * L(w * ((v5 \ v6) \ v7),v5 \ v6,w))) = L(x,y,z * (u * ((w * L(v7,w,v5 \ v6)) * (v6 \ v5)))).
L(x,y,z * (u * ((w \ v5) \ v6))) != v7 | L(x,y,z * (u * (v6 * (v5 \ w)))) = v7.
L(x,y,z * ((u \ w) * (u * v5))) = L(x,y,z * (u * (w * (u \ v5)))).
L(x,y,z * (u * (w * (u \ v5)))) != v6 | L(x,y,z * ((u \ w) * (u * v5))) = v6.
L(x,y,z * (u * (w * (v5 \ (v5 \ (v6 \ v5)))))) = L(x,y,z * (u * ((v6 * v5) \ w))).
L(x,y,z * (u * (w * ((v5 * (w * v6)) \ w)))) = L(x,y,z * (u * (v6 \ (v5 \ w)))).
L(x,y,z * (u * (w * ((v5 * v5) \ (v6 \ v5))))) = L(x,y,z * (u * (((v5 \ 1) \ v6) \ w))).
x != L(y,z,u * (w * (v5 * v6))) | L(y,z,u * (w * (v6 * v5))) = x.
L(x,y,z * (u * ((u \ w) * v5))) = L(x,y,z * ((u \ v5) * (u * w))).
L(x,y,z * ((u \ w) * (u * v5))) = L(x,y,z * (u * ((u \ v5) * w))).
x \ y != L(z,u,w * ((v5 \ v6) * (v5 * v7))) | L(z,u,w * (v5 * (v6 * (v5 \ v7)))) \ y = x.
L(x,y,z * (u * (w * (u \ v5)))) \ x = a(z * ((u \ w) * (u * v5)),y,x).
L(x,y,z * ((u \ w) * (u * L(u \ v5,u,v5)))) = L(x,y,z * (u * (w * ((u * u) \ v5)))).
L(x,y,z * ((u \ (w \ u)) * v5)) != v6 | L(x,y,z * (w \ v5)) = v6.
L(x,y,z * (u \ (w * v5))) = L(x,y,z * (w * ((w \ v5) * (u \ w)))).
L(x,y,z * (u * ((u \ w) * (v5 \ u)))) = L(x,y,z * (v5 \ (u * w))).
a(x,y,z * (u * (w * (v5 \ v6)))) = a(x,y,z * (u * ((v6 \ v5) \ w))).
a(x,y,z * (u * ((w \ v5) \ v6))) = a(x,y,z * (u * (v6 * (v5 \ w)))).
a(x,y,z * (u * ((w \ v5) \ v6))) != v7 | a(x,y,z * (u * (v6 * (v5 \ w)))) = v7.
a(x,y,z * (u * (w \ v5))) = a(x,y,z * (u * (v5 * (w \ 1)))).
a(x,y,z * (u * (w * (v5 \ 1)))) = a(x,y,z * (u * (v5 \ w))).
a(x,y,z * (u * (((w \ v5) \ (v5 \ 1)) \ v6))) = a(x,y,z * (u * (v6 * (1 \ (w \ (v5 * v5)))))).
a(x,y,z * (u * ((w \ 1) * v5))) = a(x,y,z * (u * (w \ v5))).
a(x,y,z * (u * (w * (v5 * (v6 \ 1))))) = a(x,y,z * (u * ((v6 * (v5 \ 1)) \ w))).
a(x,y,z * (u * ((w * (v5 \ 1)) \ v6))) = a(x,y,z * (u * (v6 * (v5 * (w \ 1))))).
a(x,y,z * (u * ((w \ (v5 \ 1)) * v6))) = a(x,y,z * (u * (((w \ 1) \ v5) \ v6))).
a(x,y,z * (u * (((w \ 1) \ v5) \ v6))) = a(x,y,z * (u * ((w \ (v5 \ 1)) * v6))).
a(x * (y * (z * (u \ w))),v5,v6) = a(x * (y * ((w \ u) \ z)),v5,v6).
a(x * (y * ((z \ u) \ w)),v5,v6) = a(x * (y * (w * (u \ z))),v5,v6).
a(x * (y * ((z \ u) \ w)),v5,v6) != v7 | a(x * (y * (w * (u \ z))),v5,v6) = v7.
a(x * (y * (z \ u)),w,v5) = a(x * (y * (u * (z \ 1))),w,v5).
a(x * (y * (z * (u \ 1))),w,v5) = a(x * (y * (u \ z)),w,v5).
a(x * (y * ((z \ 1) \ u)),w,v5) = a(x * (y * (u * z)),w,v5).
a(x * (y * (z \ u)),w,v5) = a(x * (y * (u * (v6 \ (z \ v6)))),w,v5).
a(x * (y * (z * (u \ (w \ u)))),v5,v6) = a(x * (y * (w \ z)),v5,v6).
a(x * (y * ((z * L(u,z,w)) * (w \ 1))),v5,v6) = a(x * (y * L(z * (w \ u),w,z)),v5,v6).
a(x * (y * ((z * (u \ 1)) \ w)),v5,v6) = a(x * (y * (w * ((z \ 1) * u))),v5,v6).
a(x * (y * (z * ((u * (w * z)) \ z))),v5,v6) = a(x * (y * (w \ (u \ z))),v5,v6).
a(x * (y * (z * (y \ u))),w,v5) = a(x * ((y \ z) * (y * u)),w,v5).
a(x * ((y \ z) * (y * u)),w,v5) = a(x * (y * (z * (y \ u))),w,v5).
a(x * (y * (z * u)),w,v5) != v6 | a(x * (y * (u * z)),w,v5) = v6.
a(x * ((y \ z) * (u * y)),w,v5) = a(x * (y * (z * (y \ u))),w,v5).
L(x,y,z * (u * ((w * (v5 \ w)) \ v6))) != v7 | L(x,y,z * (u * (w \ ((v6 \ w) \ v5)))) = v7.
L(x,y,z * (u * (w \ ((v5 \ w) \ v6)))) = L(x,y,z * (u * (v5 * (w \ (w \ v6))))).
a(x,y,z * (u * (w * (v5 * (u \ 1))))) != v6 | a(x,y,z * (((v5 \ 1) \ u) * (u \ w))) = v6.
a(x,y,z * (u * (w * (v5 \ (v6 \ 1))))) = a(x,y,z * (u * ((v6 \ (v5 \ 1)) * w))).
a(x,y,z * (u * ((w \ (v5 \ 1)) * v6))) = a(x,y,z * (u * (v6 * (v5 \ (w \ 1))))).
a(x,y,z * (u * w)) != v5 | a(x,y,z * ((u \ 1) \ w)) = v5.
a(x,y,z * ((u \ 1) \ ((w \ (v5 \ 1)) * v6))) = a(x,y,z * (u * (v6 * (v5 \ (w \ 1))))).
a(x,y,z * ((u \ 1) \ (w * (v5 \ (v6 \ 1))))) = a(x,y,z * (u * (w * (v6 \ (v5 \ 1))))).
L(x,y,z * ((u \ w) * L(v5,u,u))) = L(x,y,z * (u * (w * ((u * u) \ v5)))).
L(x,y,z * (u * (w * ((u * u) \ v5)))) = L(x,y,z * ((u \ w) * L(v5,u,u))).
x != L(y,z,u * (w * L(v5,v6,v6))) | L(y,z,u * (w * v5)) = x.
L(x,y,z * ((u \ w) * v5)) = L(x,y,z * (u * (w * ((u * u) \ v5)))).
L(x,y,z * (u * (w * ((u * u) \ v5)))) = L(x,y,z * ((u \ w) * v5)).
L(x,y,z * ((u \ 1) * (w * ((u \ (u \ 1)) \ v5)))) = L(x,y,z * (((u \ 1) \ w) * v5)).
a(x,y,z * (u * (w * ((v5 \ 1) \ (v6 \ v5))))) = a(x,y,z * (u * (w * (1 \ (v6 \ (v5 * v5)))))).
a(x * (y * ((z \ 1) * (u * L(w,u,z)))),v5,v6) = a(x * (y * L(u * (z \ w),z,u)),v5,v6).
a(x * (y * (z * (u * (w \ 1)))),v5,v6) = a(x * (y * L(u * (w \ z),w,u)),v5,v6).
a(x * (y * L(z * (u \ w),u,z)),v5,v6) = a(x * (y * (w * (z * (u \ 1)))),v5,v6).
L(x,y,z \ (u * (w * (v5 \ v6)))) = L(x,y,z \ (u * ((v6 \ v5) \ w))).
L(x,y,z \ (u * ((w \ v5) \ v6))) = L(x,y,z \ (u * (v6 * (v5 \ w)))).
a(x,y,z \ (u * ((w \ v5) \ v6))) = x \ L(x,y,z \ (u * (v6 * (v5 \ w)))).
x \ L(x,y,z \ (u * (w * (v5 \ v6)))) = a(x,y,z \ (u * ((v6 \ v5) \ w))).
x \ y != L(z,u,w \ (v5 * ((v6 \ v7) \ v8))) | L(z,u,w \ (v5 * (v8 * (v7 \ v6)))) \ y = x.
L(x,y,z \ (u * (w * (v5 \ v6)))) \ x = a(z \ (u * ((v6 \ v5) \ w)),y,x).
a(x,y,z \ (u * (w * (v5 \ v6)))) = a(x,y,z \ (u * ((v6 \ v5) \ w))).
a(x,y,z \ (u * ((w \ v5) \ v6))) = a(x,y,z \ (u * (v6 * (v5 \ w)))).
a(x,y,z \ (u * ((w \ 1) \ z))) != v5 | a(x,y,z * (w * (z \ u))) = v5.
a(x,y,z * (u * (z \ w))) = a(x,y,z \ (w * (z * (1 \ u)))).
a(x,y,z \ (u * (z * (1 \ w)))) = a(x,y,z * (w * (z \ u))).
a(x,y,z \ (u * (z * w))) = a(x,y,z * (w * (z \ u))).
a(x,y,z \ (u * (w * (v5 \ v6)))) != v7 | a(z * (u \ (w \ (v6 \ v5))),y,x) = v7.
a(x * (y \ (x \ (z \ u))),w,v5) = a(v5,w,x * ((u \ z) * (x \ y))).
a(x \ (y * (z * (u \ w))),v5,v6) = a(x \ (y * ((w \ u) \ z)),v5,v6).
a(x \ (y * ((z \ u) \ w)),v5,v6) = a(x \ (y * (w * (u \ z))),v5,v6).
a(x \ (y * (z \ u)),w,v5) = a(x \ (y * (u * (z \ 1))),w,v5).
a(x \ (y * (z * (u \ 1))),w,v5) = a(x \ (y * (u \ z)),w,v5).
a(x,y,(z * (u * (w \ 1))) \ v5) = a(v5 \ (z * (w \ u)),y,x).
a(x \ (y * ((z \ 1) * u)),w,v5) = a(x \ (y * (z \ u)),w,v5).
a(x,y,(z * (u * (w \ 1))) \ v5) != v6 | a(x,y,v5 * (z \ (w * (u \ 1)))) = v6.
a(x,y,z * (u \ (w * (v5 \ 1)))) = a(z \ (u * (w \ v5)),y,x).
a(x \ (y * (z * u)),w,v5) = a(x \ (y * ((z \ 1) \ u)),w,v5).
a(x \ (y * ((z \ 1) \ u)),w,v5) = a(x \ (y * (z * u)),w,v5).
a(x,y,z * (u \ (w * v5))) = a(z \ (u * (w \ (v5 \ 1))),y,x).
a(x \ (y * (z \ (u \ 1))),w,v5) = a(v5,w,x * (y \ (z * u))).
a(x \ (y * ((z \ 1) \ (u \ y))),w,v5) != v6 | a(v5,w,x * (u * (z \ (y \ (y \ 1))))) = v6.
a(x,y,z * (u * (w \ (v5 \ (v5 \ 1))))) = a(z \ (v5 * (w * (u \ v5))),y,x).
a(x \ (y * ((z \ 1) \ u)),w,v5) != v6 | a(v5,w,x * (y \ (z \ (u \ 1)))) = v6.
a(x,y,z * (u \ (w \ (v5 \ 1)))) = a(z \ (u * (w * v5)),y,x).
a(x \ (y * (z \ (u \ 1))),w,v5) != v6 | a(v5,w,x * (y \ ((z \ 1) \ u))) = v6.
a(x,y,z * (u \ ((w \ 1) \ v5))) = a(x,y,z * (u \ (w * v5))).
x != a(y \ (z * (u * u)),w,v5) | a(y \ (u * (u * z)),w,v5) = x.
a(x \ (y * (y * z)),u,w) = a(w,u,x * (z \ (y \ (y \ 1)))).
a(x,y,z * (u \ (w \ (w \ 1)))) = a(z \ (w * (w * u)),y,x).
a(x,y,z * (u \ (w \ (w \ 1)))) = a(z \ (w * (u * w)),y,x).
x != a(y \ (z * (u * w)),v5,v6) | a(y \ (z * ((u \ 1) \ w)),v5,v6) = x.
a(x \ (y * ((z \ 1) \ y)),u,w) = a(w,u,x * (z \ (y \ (y \ 1)))).
a(x * ((y \ 1) \ (z \ x)),u,w) = a(w,u,z * (y \ (x \ (x \ 1)))).
a(x * ((y \ 1) \ z),u,w) != v5 | a(x * (y * z),u,w) = v5.
a(x * (y * (z \ x)),u,w) = a(w,u,z * (y \ (x \ (x \ 1)))).
a(x,y,z * (u \ (w \ (w \ 1)))) = a(w * (u * (z \ w)),y,x).
a(x,y,z * (u \ (w \ (w \ 1)))) != v5 | a(z \ (w * (w * u)),y,x) = v5.
a(x \ (y * (y * z)),u,w) = a(y * (z * (x \ y)),u,w).
L(x,y,(z * (u \ w)) \ v5) != v6 | L(x,y,v5 * (z \ (w \ u))) = v6.
L(x,y,z * ((u * (w \ v5)) \ (a(u \ (v5 \ w),v6,v6) \ v6))) = L(x,y,z * (v6 * (u \ (v5 \ w)))).
L(x,y,z * (u * L((w * v5) \ (w * v6),w,v5 \ 1))) = L(x,y,z * (u * (w * ((w * v5) \ v6)))).
L(x,y,z * ((u * (w \ v5)) \ L(v6,v6,u \ (v5 \ w)))) = L(x,y,z * (v6 * (u \ (v5 \ w)))).
L(x,y,z * (u \ L(w,w,v5))) != v6 | L(x,y,z * (u \ w)) = v6.
L(x,y,z * ((u * (w \ v5)) \ v6)) = L(x,y,z * (v6 * (u \ (v5 \ w)))).
L(x,y * ((z * (u \ w)) \ v5),v6) = L(x * a(y * ((z * (u \ w)) \ v5),x,v6),v6,y * (v5 * (z \ (w \ u)))).
L(x * a(y * ((z * (u \ w)) \ v5),x,v6),v6,y * (v5 * (z \ (w \ u)))) = L(x,y * ((z * (u \ w)) \ v5),v6).
x * a(x,y,z * (u * (w \ (v5 \ v6)))) = L(x,y,z * ((w * (v6 \ v5)) \ u)).
L(x,y,z * (((u \ w) * v5) \ v6)) = L(x,y,z * (v6 * (v5 \ (w \ u)))).
L(x,y,z * ((u * w) \ v5)) = L(x,y,z * (v5 * (u \ (w \ 1)))).
L(x,y,z * (u * (w \ (v5 \ 1)))) = L(x,y,z * ((w * v5) \ u)).
L(x,y,z * ((u * w) \ v5)) = L(x,y,z * (v5 * (u \ (v6 \ (w \ v6))))).
L(x,y,z * (u * (w \ (v5 \ (v6 \ v5))))) = L(x,y,z * ((w * v6) \ u)).
L(x,y,z * (u \ (w * (v5 \ u)))) = L(x,y,z * (u * (v5 \ (u \ w)))).
L(x,y,z * L(u * ((w * (v5 \ v6)) \ v7),w * (v5 \ v6),u)) = L(x,y,z * ((u * L(v7,u,w * (v5 \ v6))) * (w \ (v6 \ v5)))).
L(x,y,z * (((u \ 1) \ w) * v5)) != v6 | L(x,y,z * ((u \ 1) * (w * ((u \ (u \ 1)) \ v5)))) = v6.
L(x,y,z * ((u \ 1) * (w * ((u \ (u \ 1)) \ (v5 \ (v6 \ 1)))))) = L(x,y,z * ((v5 * v6) \ ((u \ 1) \ w))).
L(x,y,z * (((u \ w) * L(L(v5,v6,v6),v6,v6 \ (u \ w))) \ v7)) = L(x,y,z * (v7 * ((v6 \ 1) * ((v6 \ v5) \ (w \ u))))).
x \ y != L(z,u,w * (v5 * (v6 \ (v7 \ (v8 \ v7))))) | L(z,u,w * ((v6 * v8) \ v5)) \ y = x.
L(x,y,z * ((u * w) \ v5)) \ x = a(z * (v5 * (u \ (v6 \ (w \ v6)))),y,x).
a(x * (y * (z \ (u \ (w \ u)))),v5,v6) = L(v6,v5,x * ((z * w) \ y)) \ v6.
L(x,y,z * (u \ ((w \ v5) * (v5 \ u)))) != v6 | L(x,y,L(w,v5,v5 \ u) \ z) = v6.
L(x,y,L(z,u,u \ w) \ v5) = L(x,y,v5 * (w * (u \ (w \ (z \ u))))).
L(x,y,z * (u * (w \ (u \ (v5 \ w))))) = L(x,y,L(v5,w,w \ u) \ z).
x * y != L(x,z,u) | a(x,z,u) = y.
a(x,y,z * ((u * (w \ v5)) \ v6)) = a(x,y,z * (v6 * (u \ (v5 \ w)))).
L(x,y,z * ((u * (w \ v5)) \ v6)) != v7 | L(x,y,z * (v6 * (u \ (v5 \ w)))) = v7.
a(x,y,(z \ 1) * ((u * (z \ 1)) \ w)) != v5 | a(x,y,(z * u) \ (z * w)) = v5.
a(x,y,(z * u) \ (z * w)) = a(x,y,(z \ 1) * (w * (u \ (1 \ z)))).
a(x,y,(z \ 1) * (u * (w \ (1 \ z)))) = a(x,y,(z * w) \ (z * u)).
a(x,y,z * ((u * w) \ v5)) = a(x,y,z * (v5 * (u \ (v6 \ (w \ v6))))).
a(x,y,z * (u * (w \ (v5 \ (v6 \ v5))))) = a(x,y,z * ((w * v6) \ u)).
a(x,y,(z \ 1) * (u * (w \ z))) = a(x,y,(z * w) \ (z * u)).
a(x,y,z \ (u * (w \ z))) = a(x,y,(z * w) \ (z * u)).
a(x,y,(z * u) \ (z * w)) = a(x,y,z \ (w * (u \ z))).
x != a(y,z,u \ (w * (v5 \ u))) | a(y,z,u * (v5 \ (u \ w))) = x.
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,L(z,u,w)) = a(x,y,w \ ((z * u) * (u \ w))).
a(x,y,z \ ((u * w) * (w \ z))) = a(x,y,L(u,w,z)).
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)).
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)).
a(x,y,L(z,u,w \ z)) = a(x,y,L(z,u,w \ u)).
a(x,y,L(z,u,w \ u)) = a(x,y,L(z,u,w \ z)).
a(x,y,L(z,u \ 1,w)) = a(x,y,L(z,u,w \ u)).
a(x,y,L(z,u,w * (u \ v5))) = a(x,y,L(z,u,w * v5)).
a(x,y,L(z,u,w \ v5)) = a(x,y,L(z,u,v5 * (w \ u))).
a(x,y,L(z,u,w * (v5 \ u))) = a(x,y,L(z,u,v5 \ w)).
a(x,y,L(z,u,w \ (u \ v5))) = a(x,y,L(z,u,w \ v5)).
a(x,y,L(L(z,u,u * w),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)).
x != a(y,z,L(u,w,v5)) | a(y,z,L(u,w,w \ v5)) = x.
a(x,y,L(z,u,u \ w)) = a(x,y,L(z,u,u * w)).
a(x,y,L(z,u \ 1,w * (v5 * (u \ 1)))) = a(x,y,L(z,u \ 1,v5 * L(w,v5,u))).
a(x,y,L(z,u \ 1,w * L(v5,w,u))) = a(x,y,L(z,u \ 1,v5 * (w * (u \ 1)))).
a(x,y,L(z,u,(w \ u) * v5)) = a(x,y,L(z,u,w \ v5)).
a(x,y,L(z,u,u \ (w \ (v5 \ w)))) != v6 | a(x,y,((z * u) * (u \ (w \ (v5 \ w)))) * L(v5,v5,v7)) = v6.
a(x,y,((z * u) * (u \ (w \ (v5 \ w)))) * L(v5,v5,v6)) = a(x,y,L(z,u,u * (w \ (v5 \ w)))).
a(x \ a(y,z,u),z,w) != v5 | a(w,z,x) = v5.
a((x * y) \ (x * z),u,w) = a(w \ a(v5,u,v6),u,x * (y \ (x \ z))).
a(x \ a(y,z,u),z,w * (v5 \ (w \ v6))) = a((w * v5) \ (w * v6),z,x).
a(x,y,L(z,u,w * v5)) = a(x,y,L(z,u,w * (u * v5))).
a(x,y,L(z,u,w * (u * v5))) = a(x,y,L(z,u,w * v5)).
a(x,y,L(z,u,w * ((u * v5) \ (v6 \ u)))) = a(x,y,L(z,u,w * (v6 \ (v5 \ u)))).
a(x,y,L(z,u,w * ((v5 \ u) \ (u * (u * v6))))) = a(x,y,L(z,u,(v5 \ (u \ (v6 \ u))) \ w)).
a(x,y,z * (u * (w \ (v5 \ (v6 \ v5))))) = a(x,y,z * ((v6 * w) \ u)).
a(x,y,z * (u * (w \ v5))) != v6 | a(x,y,z * ((v5 \ w) \ u)) = v6.
a(x,y,z * (((u \ (w \ u)) \ v5) \ v6)) = a(x,y,z * ((w * v5) \ v6)).
x != a(y,z,u * ((u * w) \ v5)) | a(y,z,(u \ v5) * (w \ u)) = x.
a(x,y,(z \ u) * (w \ z)) = a(x,y,z * (((v5 \ (z \ v5)) \ w) \ u)).
a(x,y,z * (((u \ (z \ u)) \ w) \ v5)) = a(x,y,(z \ v5) * (w \ z)).
x != a(y,z,u * (w \ v5)) | a(y,z,(v5 \ w) \ u) = x.
a(x,y,(z \ u) \ (z \ w)) = a(x,y,z * (((v5 \ (z \ v5)) \ u) \ w)).
a(x,y,z * (((u \ (z \ u)) \ w) \ v5)) = a(x,y,(z \ w) \ (z \ v5)).
a(x,y,z * (((z \ 1) \ u) \ w)) = a(x,y,(z \ u) \ (z \ w)).
a(x,y,z * (((z \ 1) \ u) \ w)) != v5 | a(x,y,L(u \ w,z,u * z)) = v5.
a(x,y,L(z \ u,w,z * w)) = a(x,y,(w \ z) \ (w \ u)).
a(x,y,L(z,u,w * u)) != v5 | a(x,y,L(z,u,w)) = v5.
a(x,y,L(z \ u,w,z)) = a(x,y,(w \ z) \ (w \ u)).
x != a(y,z,(u \ w) \ v5) | a(y,z,v5 * (w \ u)) = x.
a(x,y,(z \ u) * (w \ z)) = a(x,y,L(w \ u,z,w)).
a(x,y,L(z \ u,w,z)) = a(x,y,(w \ u) * (z \ w)).
x != a(y,z,(u \ w) * (v5 \ u)) | a(y,z,u * ((u * v5) \ w)) = x.
a(x,y,z * ((z * u) \ w)) = a(x,y,L(u \ w,z,u)).
a(x,y,L(z \ u,w,z)) = a(x,y,w * ((w * z) \ u)).
a(x,y,L(z,u,w)) = a(x,y,u * ((u * w) \ (z * w))).
a(x,y,z * ((z * u) \ (w * u))) = a(x,y,L(w,z,u)).
a(x,y,z * ((u * w) \ v5)) != v6 | a(x,y,z * (v5 * (w \ (v7 \ (u \ v7))))) = v6.
a(x,y,z * ((u * w) * (w \ (v5 \ (z \ v5))))) = a(x,y,L(u,z,w)).
a(x,y,z * ((z * u) \ (w * u))) != v5 | a(x,y,w * a(z \ w,z,u)) = v5.
a(x,y,z * a(u \ z,u,w)) = a(x,y,L(z,u,w)).
a(x,y,z * (u * ((u * z) \ w))) = a(x,y,L(w,u,z)).
a(x,y,z * u) != w | a(x,y,u * L(z,z,v5)) = w.
a(x,y,((z * u) * (u \ (w \ (v5 \ w)))) * L(v5,v5,v6)) = a(x,y,L(z,v5,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((x * y) \ z,u,w) = a(x * (y \ (x \ (x \ z))),u,w).
a(x * (y \ (x \ (x \ z))),u,w) = a((x * y) \ z,u,w).
a(L(L(x,y,z),z * y,u),w,v5) = a(u * ((z * y) \ (u \ (z * (y * x)))),w,v5).
a(x * ((y * z) \ (x \ (y * (z * u)))),w,v5) = a(L(L(u,z,y),y * z,x),w,v5).
x != a(y \ z,u,w) | a(y \ L(z,v5,v5),u,w) = x.
a((x * y) \ L(z,u,u),w,v5) = a(x * (y \ (x \ (x \ z))),w,v5).
x != a(y * (z \ (y \ (u \ w))),v5,v6) | a(v6,v5,y * ((w \ u) * (y \ z))) = x.
a(x,y,z * ((u \ z) * (z \ w))) = a((z * w) \ L(u,v5,v5),y,x).
a((x * y) \ L(z,u,u),w,v5) = a(v5,w,x * ((z \ x) * (x \ y))).
a(x * ((y * z) \ u),w,v5) = a(x * (u * (y \ (v6 \ (z \ v6)))),w,v5).
a(x * (y * (z \ (u \ (w \ u)))),v5,v6) = a(x * ((z * w) \ y),v5,v6).
a(x * (y * (z \ (u \ (w \ u)))),v5,v6) != v7 | a(x * ((z * w) \ y),v5,v6) = v7.
a(x * (y * (z \ (u \ (w \ u)))),v5,v6) = a(x * ((w * z) \ y),v5,v6).
a(x * (y * (z \ (u \ w))),v5,v6) = a(x * ((z * (w \ u)) \ y),v5,v6).
a(x * ((y * (z \ u)) \ w),v5,v6) = a(x * (w * (y \ (u \ z))),v5,v6).
a(x * (y * (z \ (u \ a(w,v5,u)))),v6,v7) = a(x * ((z * L(u,v5,w)) \ y),v6,v7).
a(x * (y * (z \ (u \ 1))),w,v5) = a(x * ((u * z) \ y),w,v5).
a(x * (y * (z \ (u \ w))),v5,v6) = a(x * (((w \ u) * z) \ y),v5,v6).
a(x * (((y \ z) * u) \ w),v5,v6) = a(x * (w * (u \ (z \ y))),v5,v6).
a(x * (y \ z),u,w) = a(x * (z * (v5 \ (y \ v5))),u,w).
a(x * (y * (z \ (u \ z))),w,v5) = a(x * (u \ y),w,v5).
a(x * (y * (z \ u)),w,v5) = a(x * ((u \ z) \ y),w,v5).
a(x * ((y \ z) \ u),w,v5) = a(x * (u * (z \ y)),w,v5).
a(x * ((y \ z) \ (u \ z)),w,v5) != v6 | a(x * (z \ (u \ (z * y))),w,v5) = v6.
a(x * (y \ (z \ (y * u))),w,v5) = a(x * ((z \ y) * (y \ u)),w,v5).
a(x * (y \ (z * (u \ z))),w,v5) = a(x * (z * (u \ (y \ z))),w,v5).
L(x * a(y * (z * (u \ w)),x,v5),v5,y * (z * (u \ w))) = L(x,y * ((w \ u) \ z),v5).
a(x * (((y \ 1) * (x * z)) \ x),u,w) != v5 | a(w,u,(x * y) \ z) = v5.
a(x,y,(z * u) \ w) = a(z * (z * ((z * w) \ (1 \ u))),y,x).
a(x * (x * ((x * y) \ (1 \ z))),u,w) = a(w,u,(x * z) \ y).
a(x * (x * ((x * y) \ z)),u,w) = a(w,u,(x * z) \ y).
a(x * ((y \ z) * (z \ u)),w,v5) != v6 | a(x * (z * ((z * y) \ u)),w,v5) = v6.
a(x * (y * (z \ L(u \ 1,u,w))),v5,v6) != v7 | a(x * ((z * u) \ y),v5,v6) = v7.
a(x * ((y * z) \ u),w,v5) != v6 | a(x * ((z * y) \ u),w,v5) = v6.
a(x * (y * (z \ (u \ (w \ u)))),v5,v6) != v7 | a(x * ((w * z) \ y),v5,v6) = v7.
a(x,y,L(z,u,w * (v5 \ (u \ (v6 \ u))))) = a(x,y,L(z,u,w * (v6 \ (v5 \ u)))).
a(x * (y * (z \ L(u \ 1,w,u \ v5))),v6,v7) = a(x * ((z * L(u,w,v5)) \ y),v6,v7).
a(x,y,L(z,u,(w * v5) \ v6)) = a(x,y,L(z,u,v6 * (v5 \ (w \ u)))).
a(x,y,L(z,u,w * (v5 \ (v6 \ u)))) = a(x,y,L(z,u,(v6 * v5) \ w)).
a(x,y,L(z,u \ 1,w * L(v5,w,u))) = a(x,y,L(z,u \ 1,v5 * (u \ w))).
x != a(y,z,L(u,w \ 1,v5)) | a(y,z,L(u,w,v5 \ 1)) = x.
a(x,y,L(z,u,(w * (u \ v5)) \ 1)) = a(x,y,L(z,u \ 1,v5 * L(w,v5,u))).
a(x,y,L(z,u \ 1,w * L(v5,w,u))) = a(x,y,L(z,u,(v5 * (u \ w)) \ 1)).
a(x,y,L(z,u \ 1,w * L(v5,w,u))) = a(x,y,L(z,u,v5 \ (w \ u))).
a(x * ((y * z) \ u),w,v5) = a(x * ((y * L(z,z,v6)) \ u),w,v5).
a(x * ((y * L(z,z,u)) \ w),v5,v6) = a(x * ((y * z) \ w),v5,v6).
a(x * (((y * z) * L(L(u,z,y),L(u,z,y),w)) \ v5),v6,v7) = a(x * ((y * (z * u)) \ v5),v6,v7).
L(x,y * (z * (u \ w)),v5) = L(x,y * ((w \ u) \ z),v5).
L(x,y * ((z \ u) \ w),v5) = L(x,y * (w * (u \ z)),v5).
L(x,y * ((z \ u) \ w),v5) != v6 | L(x,y * (w * (u \ z)),v5) = v6.
L(x,y * (z \ u),w) = L(x,y * (u * (v5 \ (z \ v5))),w).
L(x,y * (z * (u \ (w \ u))),v5) = L(x,y * (w \ z),v5).
L(x,y * ((z \ u) \ (u * w)),v5) = L(x,y * (u * ((w \ u) \ z)),v5).
L(x,y * ((z * u) * (z \ w)),v5) = L(x,y * (z * ((u \ z) \ w)),v5).
a(x,y,((z * u) * (u \ (w \ (v5 \ w)))) * L(v5,v5,v6)) = a(x,y,L(z,u,v5 \ u)).
a(x,y,((z * u) * (u \ (w \ (v5 \ w)))) * L(v5,v5,v6)) != v7 | a(x,y,L(z,v5,u)) = v7.
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,L(z,u,w \ u)) != v5 | a(x,y,L(z,u \ 1,w)) = v5.
a(x,y,L(z,u \ 1,w)) = a(x,y,L(z,w,u)).
a(x,y,L(z,u,w \ u)) != v5 | a(x,y,L(z,u,w \ z)) = v5.
a(x,y,L(z,u,w \ z)) = a(x,y,L(z,w,u)).
a(x,y,L(z,u,w \ (v5 \ u))) = a(x,y,L(z,v5 * w,u)).
a(x,y,L(z,u \ 1,w)) != v5 | a(x,y,z) * a(a(z,y,x),u,w) = v5.
a(x,y,z) * a(a(z,y,x),u,w) = a(x,y,L(z,w,u)).
a(x,y,L(z,u \ 1,w * L(v5,w,u))) != v6 | a(x,y,L(z,u,v5 \ (w \ u))) = v6.
a(x,y,L(z,u,w \ (v5 \ u))) = a(x,y,L(z,v5 * L(w,v5,u),u)).
a(x,y,L(z,u * L(w,u,v5),v5)) = a(x,y,L(z,v5,w \ (u \ v5))).
a(x,y,L(z,u \ 1,w)) != v5 | a(x,y,L(z,u,w \ 1)) = v5.
a(x,y,L(z,u,w \ 1)) = a(x,y,L(z,w,u)).
a(x,y,z) = a(x,y,L(L(z,u,w),w,u)).
a(x,y,L(L(z,u,w),w,u)) = a(x,y,z).
a(x,y,L(z,u \ w,v5)) = a(x,y,L(z,v5,w \ u)).
a(x,y,L(L(L(z,u,w),w,u),v5,v6)) = a(x,y,L(z,v5,v6)).
a(x,y,L(z,u,w * (v5 \ (v6 \ v7)))) = a(x,y,L(z,w \ (v5 * (v7 \ v6)),u)).
a(x,y,L(z,u \ (w * (v5 \ v6)),v7)) = a(x,y,L(z,v7,u * (w \ (v6 \ v5)))).
a(x,y,(z * (u \ w)) * (u * (z \ 1))) = a(x,y,L(w,z,u)).
a(x,y,L(L(z,u,w \ (v5 \ 1)),v6,v7)) = a(x,y,L(L(z,v6,v7),w * v5,u)).
a(x,y,L(L(L(z,u,w \ 1),v5,v6),v7,v8)) = a(x,y,L(L(L(z,v5,v6),v7,v8),w,u)).
a(x,y,L(z,u,w \ v5)) != v6 | a(x,y,L(z,u,w \ (u \ v5))) = v6.
a(x,y,L(z,u,w \ (u \ 1))) = a(x,y,L(z,w,u)).
a(x,y,L(L(z,u,w),v5,v6 \ 1)) != v7 | a(z,y,L(x \ a(x,v5,v6),u,w)) = v7.
a(x,y,L(z \ a(z,u,w),v5,v6)) = a(z,y,L(L(x,v5,v6),w,u)).
a(x,y,L(z,u,w \ (v5 \ 1))) = a(x,y,L(z,v5 * w,u)).
a(x,y,L(z,u,w \ (v5 \ (v6 \ 1)))) = a(x,y,L(z,w * (v5 * v6),u)).
x != a(y,z,L(u,w,v5 \ v6)) | a(y,z,L(u,w,v5 \ (w \ v6))) = x.
a(x,y,L(z,u,w \ (u \ v5))) = a(x,y,L(z,v5 \ w,u)).
a(x,y,z) * u != a(x,y,L(z,w,v5)) | a(v5,w,a(z,y,x)) = u.
a(x,y,a(z,u,w)) = a(a(z,u,w),x,y).
a(a(x,y,z),u,w) = a(u,w,a(x,y,z)).
a(x,y,a(z,u,w)) = a(y,x,a(w,u,z)).
x \ y != a(z,u,a(w,v5,v6)) | x * a(u,z,a(v6,v5,w)) = y.
x * a(y,x,a(z,u,w)) = L(x,y,a(w,u,z)).
L(x,y,a(z,u,w)) != x * v5 | a(y,x,a(w,u,z)) = v5.
a(x,y,L(z,u,w \ (u \ 1))) != v5 | a(x,y,L(z,w,u)) = v5.
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,L(z,u * L(w * v5,u,w),w)) = a(x,y,L(z,L(u * v5,w,u),w)).
a(x,y,z * (u * (w \ 1))) != v5 | a(x,y,z * (w \ u)) = v5.
a(x,y,(z * (u \ w)) * (z \ u)) = a(x,y,L(w,z,u)).
a(x,y,z * (u * (z \ (u \ w)))) = a(x,y,L(w,z,u)).
a(x,y,z * ((z * (u \ w)) * (z \ ((z * (u \ w)) \ v5)))) = a(x,y,L(v5,z,(u \ z) * w)).
a(x,y,L(L(z \ a(z,u,w),v5,v6),v7,v8)) = a(z,y,L(L(L(x,v7,v8),v5,v6),w,u)).
x != a(y,z,L(u,w,v5 \ (v6 \ w))) | a(y,z,L(u,v6 * v5,w)) = x.
a(x,y,L(z,u * w,v5)) = a(x,y,L(z,u * L(w,u,v5),v5)).
a(x,y,L(z,u * L(w,u,v5),v5)) = a(x,y,L(z,u * w,v5)).
a(x,y,L(z,u,w \ (v5 \ (v6 \ 1)))) = a(x,y,L(z,w * (v6 * v5),u)).
a(x,y,L(L(z,u \ (w * (v5 \ v6)),v7),v8,v9)) = a(x,y,L(L(z,v8,v9),v7,u * (w \ (v6 \ v5)))).
a(x,y,L(z,u * L(w,u,v5),v5)) != v6 | a(x,y,L(z,u * w,v5)) = v6.
a(x,y,L(z,u * (w * v5),w)) = a(x,y,L(z,L(u * v5,w,u),w)).
a(x,y,L(z,L(u * w,v5,u),v5)) = a(x,y,L(z,u * (v5 * w),v5)).
a(x,y,L(z,u * w,v5)) = a(x,y,L(z,u * (v5 * w),v5)).
a(x,y,L(z,u * (w * v5),w)) = a(x,y,L(z,u * v5,w)).
a(x,y,z * (z * ((u \ w) * (z \ ((u \ w) \ (z \ v5)))))) = a(x,y,L(v5,z,(u \ z) * w)).
a(x,y,L(z,u,w * ((u * v5) * ((v6 \ u) \ u)))) = a(x,y,L(z,u,(v6 \ (u \ (v5 \ u))) \ w)).
a(x,y,L(z,u,w * ((u * v5) * v6))) = a(x,y,L(z,u,(v6 \ (u \ (v5 \ u))) \ w)).
a(x,y,L(z,u,(w \ (u \ (v5 \ u))) \ v6)) = a(x,y,L(z,u,v6 * ((u * v5) * w))).
a(x,y,L(z,u,(w \ (u \ (v5 \ u))) \ v6)) = a(x,y,L(z,u,v6 * (w * (u * v5)))).
a(x,y,L(z,u,w * ((u \ (v5 \ u)) \ v6))) = a(x,y,L(z,u,w * (v6 * (u * v5)))).
a(x,y,L(z,u,w * (v5 * ((v6 \ u) \ u)))) = a(x,y,L(z,u,w * (v5 * (u * v6)))).
a(x,y,L(z,u,w * (v5 * v6))) = a(x,y,L(z,u,w * (v5 * (u * v6)))).
a(x,y,L(z,u,w * (v5 * (u * v6)))) = a(x,y,L(z,u,w * (v5 * v6))).
a(x,y,L(z,u,w * (v5 * (v6 * u)))) = a(x,y,L(z,u,w * (v5 * v6))).
L(x,y,z * (u * (w \ (v5 \ (w * v6))))) = L(x,y,z * (u * (w * ((w * v5) \ v6)))).
x \ y != L(z,u,w * (v5 * (v6 \ (v7 \ (v6 * v8))))) | L(z,u,w * (v5 * (v6 * ((v6 * v7) \ v8)))) \ y = x.
L(x,y,z * (u * (w * ((w * v5) \ v6)))) \ x = a(z * (u * (w \ (v5 \ (w * v6)))),y,x).
a(x * (y * (z \ (u \ (z * w)))),v5,v6) != v7 | a(x * (y * (z * ((z * u) \ w))),v5,v6) = v7.
a(x * (((y * z) * L(L(u,u,w),z,y)) \ v5),v6,v7) = a(x * ((y * (z * u)) \ v5),v6,v7).
a(x * ((y * (z * L(u,u,w))) \ v5),v6,v7) = a(x * ((y * (z * u)) \ v5),v6,v7).
(((x \ y) \ z) * (x \ y)) \ (x \ (((x \ y) \ z) * y)) = ((x \ y) * (y \ (x * z))) \ z.
x \ (y \ (((y \ z) \ x) * z)) = ((y \ z) * (z \ (y * x))) \ x.
((x \ y) * (y \ (x * z))) \ z = z \ (x \ (((x \ y) \ z) * y)).
x != y \ (z \ (u * w)) | y \ (z \ (w * u)) = x.
x \ (y \ (z * ((y \ z) \ x))) = ((y \ z) * (z \ (y * x))) \ x.
((x \ y) * (y \ (x * z))) \ z = z \ (x \ (y * ((x \ y) \ z))).
x != y \ (z \ (u * ((z \ u) \ y))) | a(z,z \ u,u \ y) = x.
a(x,x \ y,y \ z) = ((x \ y) * (y \ (x * z))) \ z.
((x \ y) * (y \ (x * z))) \ z = a(x,x \ y,y \ z).
x \ y != a(z,z \ u,u \ y) | z * ((z \ u) * (u \ y)) = x.
x * ((x \ y) * (y \ z)) = (x \ y) * (y \ (x * z)).
(x \ y) * (y \ (x * z)) = x * ((x \ y) * (y \ z)).
a(x * a(y,z,z),u,L(w,y,z * x)) = a(z * ((z \ y) * (y \ x)),u,w).
a(x * a(y,z,z),u,L(w,y,x * z)) = a(z * ((z \ y) * (y \ x)),u,w).
a(x * a(y,z,z),u,w) != v5 | a(x,u,w) = v5.
a(x,y,L(z,u,x * w)) = a(w * ((w \ u) * (u \ x)),y,z).
a(x * ((x \ y) * (y \ z)),u,w) = a(z,u,L(w,y,z * x)).
x != a(y,z,L(u,w,y * v5)) | a(y,z,L(u,w,v5)) = x.
a(x,y,L(z,u,w)) = a(w * ((w \ u) * (u \ x)),y,z).
a(x * ((x \ y) * (y \ z)),u,w) = a(z,u,L(w,y,x)).
a(x * (y * ((y * x) \ z)),u,w) = a(z,u,L(w,y,x)).
a(x * (y * ((x * y) \ z)),u,w) = a(z,u,L(w,y,x)).
a(x,y,z * (u * (w \ (((v5 \ 1) \ w) \ 1)))) = a(x,y,z * (u * (1 \ (v5 \ (w \ (w \ 1)))))).
a(x,y,z * (u * (1 \ (w \ (v5 \ (v5 \ 1)))))) = a(x,y,z * (u * (v5 \ (((w \ 1) \ v5) \ 1)))).
a(x,y,z * (u * (1 \ (w \ (v5 \ (v5 \ 1)))))) = a(x,y,z * (u * (v5 \ (w \ (v5 \ 1))))).
L(x,y,z) \ (((z * y) \ (z * (y * x))) \ 1) = ((z * y) \ (z * ((y * x) * ((y \ (x \ y)) \ 1)))) \ 1.
L(x,y,z) \ (((z * y) \ (z * (y * x))) \ 1) = ((z * y) \ (z * (y * (x * x)))) \ 1.
L(x,y,z) \ (((z * y) \ (z * (y * x))) \ 1) = L(x * x,y,z) \ 1.
x != L(y,z,u) \ 1 | L(y \ 1,z,u) = x.
L((x * x) \ 1,y,z) = L(x,y,z) \ (((z * y) \ (z * (y * x))) \ 1).
L(x,y,z) \ (((z * y) \ (z * (y * x))) \ 1) = L((x * x) \ 1,y,z).
L(x,y,z) \ (((z * y) \ (z * (y * x))) \ 1) = L(x \ (x \ 1),y,z).
L(x,y,z) \ (L(x,y,z) \ 1) = L(x \ (x \ 1),y,z).
L(x \ 1,y,z) \ ((L(x,y,z) \ 1) \ 1) = L(x \ (x \ 1),y,z) \ 1.
L((x \ (x \ 1)) \ 1,y,z) = L(x \ 1,y,z) \ ((L(x,y,z) \ 1) \ 1).
L(x \ 1,y,z) \ ((L(x,y,z) \ 1) \ 1) = L((x \ (x \ 1)) \ 1,y,z).
L(x \ 1,y,z) \ ((L(x,y,z) \ 1) \ 1) = L((x \ 1) \ x,y,z).
L(x \ 1,y,z) \ ((L(x,y,z) \ 1) \ 1) = L(x * (1 \ x),y,z).
L(x \ 1,y,z) \ ((L(x,y,z) \ 1) \ 1) = L(x * x,y,z).
L(x \ 1,y,z) \ L(x,y,z) = L(x * x,y,z).
L(x \ y,z,u) \ L(x,w,v5) != v6 | L(y \ x,z,u) * L(x,w,v5) = v6.
L(1 \ x,y,z) * L(x,y,z) = L(x * x,y,z).
L(x,y,z) * L(x,y,z) = L(x * x,y,z).
L(x,y,z) * L(x,y,u) != w | x * L(L(x,y,z),y,u) = w.
x * L(L(x,y,z),y,z) = L(x * x,y,z).
(x * (L(x * x,y,z) \ x)) \ 1 = a(z,y,x) \ ((L(x,y,z) \ x) \ 1).
a(x,y,z) \ ((L(z,y,x) \ z) \ 1) = (z * (L(z * z,y,x) \ z)) \ 1.
a(x,y,z) \ ((L(z,y,x) \ z) \ 1) = a(x,y,z * z) \ 1.
x != a(y,z,u) \ 1 | a(u,z,y) = x.
a(x * x,y,z) = a(z,y,x) \ ((L(x,y,z) \ x) \ 1).
a(x,y,z) \ ((L(z,y,x) \ z) \ 1) = a(z * z,y,x).
a(x,y,z) \ (1 * a(z,y,x)) = a(z * z,y,x).
a(x,y,z) \ a(z,y,x) = a(z * z,y,x).
a(x,y,z) * a(x,y,z) = a(x * x,y,z).
a(x \ 1,y,z) * a(x \ 1,y,z) = a(L(x \ (x \ 1),x,(x \ 1) \ 1),y,z).
a(L(x \ (x \ 1),x,(x \ 1) \ 1),y,z) = a(x \ 1,y,z) * a(x \ 1,y,z).
a(L(x \ (x \ 1),x,(x \ 1) \ 1),y,z) = a(z,y,x) * a(x \ 1,y,z).
a(L(x \ (x \ 1),x,(x \ 1) \ 1),y,z) = a(z,y,x) * a(z,y,x).
x != a(y,z,u) * a(y,z,u) | a(y * y,z,u) = x.
a(x * x,y,z) = a(L(z \ (z \ 1),z,(z \ 1) \ 1),y,x).
a(L(x \ (x \ 1),x,(x \ 1) \ 1),y,z) = a(z * z,y,x).
a(L(x \ (x \ 1),x,x),y,z) = a(z * z,y,x).
a(x \ (x \ 1),y,z) = a(z * z,y,x).
a(x,y,z * z) = a(x * x,y,z).
a(x * x,y,z) = a(x,y,z * z).
x \ y != a(z,u,w * w) | x * a(z * z,u,w) = y.
x * a(x * x,y,z) = L(x,y,z * z).
L(x,y,z * z) = x * a(x * x,y,z).
x \ y != z * a(z * z,u,w) | x * L(z,u,w * w) = y.
x * L(x,y,z * z) = L(x * x,y,z).
x * y != L(x * x,z,u) | L(L(x,z,u),z,u) = y.
L(L(x,y,z),y,z) = L(x,y,z * z).
L(L(L(x,y,z),u,w),v5,v6) != v7 | L(L(L(x,v5,v6),y,z),u,w) = v7.
L(L(L(x,y,z),u,w),y,z) = L(L(x,u,w),y,z * z).
L(x,y,L(L(y,z,u),z,u)) = L(x \ L(y,w,v5),L(y,v6,v7),x) \ L(y,w,v5).
x != L(y \ z,u,y) \ z | L(y,u,z) = x.
L(x,L(y,z,u),L(y,w,v5)) = L(x,y,L(L(y,v6,v7),v6,v7)).
x != L(y,z,L(L(z,u,w),u,w)) | L(y,L(z,v5,v6),L(z,v7,v8)) = x.
L(x,L(y,z,u),L(y,w,v5)) = L(x,L(y,v6,v7),L(y,v8,v9)).
L(x,y,z * (u * (((w \ v5) \ 1) \ (v6 \ (v5 \ 1))))) = L(x,y,z * (u * ((v5 \ 1) \ (v6 \ ((v5 * w) \ 1))))).
a(x * (y \ (z \ ((u \ 1) \ (w * (v5 \ 1))))),v6,v7) = a(x * (y \ (z \ (1 \ ((v5 * (w \ 1)) \ u)))),v6,v7).
L(x,y,z * ((u \ 1) * (w * ((u \ (u \ 1)) \ (v5 \ (v6 \ 1)))))) = L(x,y,z * ((v6 * v5) \ ((u \ 1) \ w))).
L(x,y,z * (u * ((w \ (v5 \ 1)) * (1 \ (v6 \ v5))))) = L(x,y,z * (u * ((v5 \ 1) \ (w \ ((v5 * v6) \ 1))))).
L(x,y,z * (u * ((w \ 1) \ (v5 \ ((w * v6) \ 1))))) = L(x,y,z * (u * ((v5 \ (w \ 1)) * (1 \ (v6 \ w))))).
x != L(y,z,u * (w \ ((v5 \ v6) \ v7))) | L(y,z,u * (w \ (v7 * (v6 \ v5)))) = x.
L(x,y,z * ((u * w) \ (v5 * (1 \ v6)))) = L(x,y,z * ((v6 \ 1) * (v5 * ((v6 \ (v6 \ 1)) \ (w \ (u \ 1)))))).
L(x,y,z * ((u \ 1) * (w * ((u \ (u \ 1)) \ (v5 \ (v6 \ 1)))))) = L(x,y,z * ((v6 * v5) \ (w * (1 \ u)))).
L(x,y,z * (u * ((w \ 1) \ (v5 \ ((w * v6) \ 1))))) = L(x,y,z * (u * ((v5 \ (w \ 1)) * (v6 \ w)))).
L(x,y,z * (u * ((w \ ((v5 * v6) \ 1)) * (1 \ v5)))) = L(x,y,z * (u * ((w \ (v5 \ 1)) * (v6 \ v5)))).
L(x,y,z * (u * ((w \ ((v5 * v6) \ 1)) * v5))) = L(x,y,z * (u * ((w \ (v5 \ 1)) * (v6 \ v5)))).
L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) = L(x,y,z * (u * ((v5 \ (w \ 1)) * (v6 \ w)))).
L(x,y,z * (u * ((w \ (v5 \ 1)) * (v6 \ v5)))) = L(x,y,z * (u * (v5 * (w \ ((v5 * v6) \ 1))))).
L(x,y,z * (u * ((w \ (v5 \ 1)) * (v6 \ v5)))) != v7 | L(x,y,z * (u * (v5 * (w \ ((v5 * v6) \ 1))))) = v7.
L(x,y,z * ((u \ 1) * (w * ((u \ (u \ 1)) \ (v5 \ (v6 \ 1)))))) = L(x,y,z * ((v6 * v5) \ (w * u))).
L(x,y,z * ((u \ 1) * (w * ((u \ (u \ 1)) \ (v5 \ (v6 \ 1)))))) = L(x,y,z * ((v6 * v5) \ (u * w))).
L(x,y,z * ((u \ 1) * (w * ((u \ 1) \ ((u \ v5) \ (u \ 1)))))) = L(x,y,z * ((u * v5) \ (u * w))).
L(x,y,z * (u * (w * (v5 \ (v6 \ v5))))) != v7 | L(x,y,z * (u * (v6 \ w))) = v7.
L(x,y,z * ((u \ 1) * ((u \ w) \ v5))) = L(x,y,z * ((u * w) \ (u * v5))).
L(x,y,z * ((u \ 1) * (w * (v5 \ u)))) = L(x,y,z * ((u * v5) \ (u * w))).
L(x,y,z * (u \ (w * (v5 \ u)))) = L(x,y,z * ((u * v5) \ (u * w))).
L(x,y,z * ((u * w) \ (u * v5))) = L(x,y,z * (u \ (v5 * (w \ u)))).
x != L(y,z,u * (w \ (v5 * (v6 \ w)))) | L(y,z,u * (w * (v6 \ (w \ v5)))) = x.
L(x,y,z * (u * (w \ (u \ v5)))) = L(x,y,z * ((u * w) \ (u * v5))).
L(x,y,z * ((u * w) \ (u * v5))) = L(x,y,z * (u * (w \ (u \ v5)))).
L(x,y,z * ((u * w) \ (u * (v5 \ w)))) != v6 | L(x,y,L(v5,w,u) \ z) = v6.
L(x,y,L(z,u,w) \ v5) = L(x,y,v5 * (w * (u \ (w \ (z \ u))))).
L(x,y,z * (u * (w \ (u \ (v5 \ w))))) = L(x,y,L(v5,w,u) \ z).
L(x,y,z * (u * (w \ (u \ (v5 \ w))))) != v6 | L(x,y,L(v5,w,w \ u) \ z) = v6.
L(x,y,L(z,u,u \ w) \ v5) = L(x,y,L(z,u,w) \ v5).
L(x,y,L(z \ 1,u,w) \ v5) != v6 | L(x,y,v5 * L(z,u,w)) = v6.
L(x,y,z * L(u,w,w \ v5)) = L(x,y,L(u \ 1,w,v5) \ z).
L(x,y,L(z \ 1,u,w) \ v5) = L(x,y,v5 * L(z,u,u \ w)).
L(x,y,L(z,u,w) \ v5) = L(x,y,L(z,u,u * w) \ v5).
L(x,y,L(z,u,u * w) \ v5) = L(x,y,L(z,u,w) \ v5).
L(x,y,a(z \ u,z,w)) = L(x,y,L(w,z,u) \ w).
L(x,y,L(z,u,w \ 1) \ v5) = L(x,y,L(z,u,w \ u) \ v5).
L(x,y,a(z \ u,z,w)) = L(x,y,a(u,z,w)).
L(x,y,a(z,u,w \ u)) = L(x,y,a(w,u,z)).
a(x,y,a(z,u,w \ u)) = x \ L(x,y,a(w,u,z)).
a(x,y,a(z,u,w \ u)) != v5 | a(x,y,a(w,u,z)) = v5.
L(x,y,z * L(u,w,v5)) = L(x,y,z * L(u,w,w \ v5)).
L(x,y,z * L(u,w,w \ v5)) = L(x,y,z * L(u,w,v5)).
L(x,y,z * L(u,w,w \ v5)) != v6 | L(x,y,z * L(u,v5,w \ v5)) = v6.
L(x,y,z * L(u,w,v5 \ w)) = L(x,y,z * L(u,v5,w)).
L(x,L(y,z,u \ 1) \ w,v5) = L(x * a(L(y,z,u \ 1) \ w,x,v5),v5,L(y,z,u \ z) \ w).
L(x * a(L(y,z,u \ 1) \ w,x,v5),v5,L(y,z,u \ z) \ w) = L(x,L(y,z,u \ 1) \ w,v5).
x != L(y,z,L(u,w,v5) \ v6) | L(y,z,v6 * L(u \ 1,w,v5)) = x.
L(x,y,z * L(u \ 1,w,v5 \ w)) = L(x,y,L(u,w,v5 \ 1) \ z).
L(x,y,(((z \ 1) * u) \ (u * (((z \ 1) \ 1) \ w))) \ v5) = L(x,y,L(L(w,z \ 1,u),z \ 1,z \ (z \ 1)) \ v5).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,(((u \ 1) * w) \ (w * (((u \ 1) \ 1) \ z))) \ v5).
L(x,y,z * L(u,w,v5 \ w)) != v6 | L(x,y,z * L(u,v5,w)) = v6.
L(x,y,z * L(u \ 1,w,v5)) = L(x,y,L(u,v5,w \ 1) \ z).
L(x,y,L(z,u,w \ 1) \ v5) = L(x,y,v5 * L(z \ 1,w,u)).
x != L(y,z,u * L(w \ 1,v5,v6)) | L(y,z,L(w,v5,v6) \ u) = x.
L(x,y,L(z,u,w) \ v5) = L(x,y,L(z,w,u \ 1) \ v5).
L(x,y,L(z,u,w \ 1) \ v5) = L(x,y,L(z,w,u) \ v5).
L(x,y,L(z,u,w \ 1) \ v5) != v6 | L(x,y,L(z,u,w \ u) \ v5) = v6.
L(x,y,L(z,u,w \ u) \ v5) = L(x,y,L(z,w,u) \ v5).
x \ y != L(z,u,L(w,v5,v6 \ 1) \ v7) | L(z,u,L(w,v6,v5) \ v7) \ y = x.
L(x,y,L(z,u,w) \ v5) \ x = a(L(z,w,u \ 1) \ v5,y,x).
a(L(x,y,z \ 1) \ u,w,v5) = L(v5,w,L(x,z,y) \ u) \ v5.
L(x,y,a(z \ 1,u,w)) = L(x,y,L(w,z,u) \ w).
L(x,y,a(z,u,w)) = L(x,y,L(z,w,u) \ z).
L(x,y,L(z,u,w) \ z) = L(x,y,a(z,w,u)).
L(x,y,a(z,u,w)) = L(x,y,a(w,z,u)).
L(x,y,a(z,u,w)) = L(x,y,a(z \ w,w,u)).
L(x,y,a(z \ u,u,w)) = L(x,y,a(z,w,u)).
x != L(y,z,a(u,w,v5)) | y * a(z,y,a(v5,w,u)) = x.
x * a(y,x,a(z,u,w)) = L(x,y,a(w \ z,z,u)).
L(x,y,a(z \ u,u,w)) = x * a(y,x,a(u,w,z)).
a(x,y,a(z,u,w \ u)) = a(x,y,a(u,z,w)).
a(x,y,a(z,u,w)) != v5 | a(x,y,a(w,z,u)) = v5.
a(L(x,y,z) \ u,w,v5) = a(L(x,z,y \ 1) \ u,w,v5).
a(L(x,y,z \ 1) \ u,w,v5) = a(L(x,z,y) \ u,w,v5).
L(x * a(L(y,z,u) \ w,x,v5),v5,L(y,u,z \ u) \ w) = L(x,L(y,u,z \ 1) \ w,v5).
L(x,y,L(z,u,w \ u) \ v5) != v6 | L(x,y,L(z,w,u) \ v5) = v6.
L(x * a(L(y,z,u) \ w,x,v5),v5,L(y,z,u) \ w) = L(x,L(y,u,z \ 1) \ w,v5).
L(x,L(y,z,u) \ w,v5) = L(x,L(y,u,z \ 1) \ w,v5).
L(x,L(y,z,u \ 1) \ w,v5) = L(x,L(y,u,z) \ w,v5).
L(x,y * (a(z,u,w) \ z),v5) = L(x,L(z \ 1,w,u) \ y,v5).
L(x,L(y \ 1,z,u) \ w,v5) = L(x,w * (a(y,u,z) \ y),v5).
L(x,y \ z,u) = L(x,L(y,y,w) \ z,u).
L(x,L(y,y,z) \ u,w) = L(x,y \ u,w).
L(x,a(y,y,z) * (y \ u),w) = L(x,y \ u,w).
L(x,y * (z \ (u \ z)),w) != v5 | L(x,u \ y,w) = v5.
L(x,y \ a(z,z,u),w) = L(x,z \ (y \ z),w).
x != L(y,z \ (u \ z),w) | L(y,u,w \ 1) = x.
L(x,y,z \ 1) = L(x,y \ a(u,u,w),z).
L(x,y \ a(z,z,u),w) = L(x,y,w \ 1).
L(x,y \ a(z,u,u),w) = L(x,y,w \ 1).
L(x,y,z) = L(x,y \ a(u,w,w),z \ 1).
L(x,y \ a(z,u,u),w \ 1) = L(x,y,w).
L(x,a(y,z,z) \ u,w) = L(x,u,w).
L(x,y,z) = L(x,a(u,w,w) * y,z).
L(x,a(y,z,z) * u,w) = L(x,u,w).
L(x,y,z) = L(x,y * a(u,w,w),z).
L(x,y * a(z,u,u),w) = L(x,y,w).
L(x,y * z,u) = L(x,y * (z * a(w,w,v5)),u).
L(x,y * (z * a(u,u,w)),v5) = L(x,y * z,v5).
L(x,y \ L(z,u,u),w) = L(x,y \ z,w).
L(x,(y \ z) * a(u,w,w),v5) != v6 | L(x,z * (y \ a(u,w,w)),v5) = v6.
L(x,y * (z \ a(u,w,w)),v5) = L(x,z \ y,v5).
L(x,y \ L((z \ 1) \ u,w,v5),v6) = L(x,y \ L(z * u,w,v5),v6).
L(x,y * (a(z,z,u) * w),v5) = L(x,y * w,v5).
L(x,y * L(L(z,z,u),w,v5),v6) = L(x,y * L(z,w,v5),v6).
L(x,y * ((z * (u \ w)) \ (w * z)),v5) = L(x,y * L(u,w,z),v5).
L(x,L(y \ 1,z,u) \ w,v5) != v6 | L(x,w * L(y,z,u),v5) = v6.
L(x,y * L(z,u,w),v5) = L(x,y * (a(z,w,u) \ z),v5).
L(x,y * (a(z,u,w) \ z),v5) = L(x,y * L(z,w,u),v5).
L(x,y * L(z,u,w \ z),v5) = L(x,y * L(z,w,u),v5).
L(x,y * L(z,u,w \ 1),v5) = L(x,y * L(z,w,u),v5).
L(x,(y \ (z \ y)) * u,w) != v5 | L(x,z \ u,w) = v5.
L(x,y \ L(z,u,w \ 1),v5) = L(x,(v6 \ (y \ v6)) * L(z,w,u),v5).
L(x,(y \ (z \ y)) * L(u,w,v5),v6) = L(x,z \ L(u,v5,w \ 1),v6).
L(x,y * ((z * (u \ w)) \ (z * w)),v5) = L(x,y * L(u,w,z),v5).
L(x,y * (z \ (u * ((w \ u) \ z))),v5) = L(x,y * L(w,u,u \ z),v5).
L(x,y \ L(z,u,w),v5) = L(x,y \ L(z,w,u \ 1),v5).
L(x,y \ L(z,u,w \ 1),v5) = L(x,y \ L(z,w,u),v5).
L(x,y \ (z * a(u,w,z)),v5) = L(x,y \ L(z,u,w),v5).
(x * a(y,z,u)) \ L(a(y,z,u) * ((x \ u) * x),w,v5) = (x \ u) * a(a(y,z,u) * u,w,v5).
(x * a(y,z,u)) \ L(a(y,z,u) * ((x \ u) * x),w,v5) = (x \ u) * a(L(u,z,y \ u),w,v5).
(x * a(y,z,u)) \ L(a(y,z,u) * ((x \ u) * x),w,v5) = (x \ u) * a(u,w,L(v5,z,y \ u)).
x != (y \ z) * a(z,u,w) | y \ L(z,u,w) = x.
x \ L(y,z,L(u,w,v5 \ y)) = (x * a(v5,w,y)) \ L(a(v5,w,y) * ((x \ y) * x),z,u).
(x * a(y,z,u)) \ L(a(y,z,u) * ((x \ u) * x),w,v5) = x \ L(u,w,L(v5,z,y \ u)).
(x * a(y,z,u)) \ L(a(y,z,u) * u,w,v5) = x \ L(u,w,L(v5,z,y \ u)).
(x * a(y,z,u)) \ L(L(u,z,y \ u),w,v5) = x \ L(u,w,L(v5,z,y \ u)).
(L(x,y,z) * a(u,w,x)) \ L(L(x,w,u \ x),y,z) != v5 | a(z,y,a(x,w,u)) = v5.
a(x,y,a(z,u,w)) = L(z,y,x) \ L(z,y,L(x,u,w \ z)).
L(x,y,z) \ L(x,y,L(z,u,w \ x)) = a(z,y,a(x,u,w)).
L(x,y,z) \ L(x,u,w) != v5 | a(z,y,x) * a(x,u,w) = v5.
a(x,y,z) * a(z,y,L(x,u,w \ z)) = a(x,y,a(z,u,w)).
a(a(x,y,z),u,w \ x) = a(z,y,a(x,u,w)).
a(a(x,y,z),u,w \ x) != v5 | a(w,u,a(x,y,z)) = v5.
a(x,y,a(z,u,w)) = a(w,u,a(z,y,x)).
a(x,y,a(z,u,w)) != v5 | a(w,u,a(x,z,y)) = v5.
a(x,y,(z * L(u,z,w \ (v5 * (v6 \ v7)))) \ (w \ (v5 * (v6 \ v7)))) = a(u * ((w \ ((v7 \ v6) \ v5)) \ z),y,x).
L(x,y,z * (L(u \ w,u,w \ (v5 * (v6 \ v7))) \ (v5 * (v6 \ v7)))) = L(x,y,z * (u * (w \ ((v7 \ v6) \ v5)))).
L(x * a(y * (z \ (u \ (w \ v5))),x,v6),v6,y * (z \ (u \ (w \ v5)))) = L(x,(z * (u * (v5 \ w))) \ y,v6).
L(x * a(y * (z * (u * (w \ v5))),x,v6),v6,y * (z * (u * (w \ v5)))) = L(x,y * (z * ((v5 \ w) \ u)),v6).
L(x * a(y * (z * (u \ (w \ v5))),x,v6),v6,y * (z * (u \ (w \ v5)))) = L(x,y * ((u * (v5 \ w)) \ z),v6).
a(x,y,(z * L(u,z,w)) \ w) != v5 | a(u * (w \ z),y,x) = v5.
a(x * ((y \ (z * (u \ w))) \ v5),v6,v7) = a(x * ((y \ ((w \ u) \ z)) \ v5),v6,v7).
a(x * ((y \ ((z \ u) \ w)) \ v5),v6,v7) = a(x * ((y \ (w * (u \ z))) \ v5),v6,v7).
x != a(y * ((z \ u) \ w),v5,v6) | a(y * (w * (u \ z)),v5,v6) = x.
a(x * (y * ((z * (u \ w)) \ v5)),v6,v7) = a(x * ((v5 \ ((w \ u) \ z)) \ y),v6,v7).
a(x * ((y \ ((z \ u) \ w)) \ v5),v6,v7) = a(x * (v5 * ((w * (u \ z)) \ y)),v6,v7).
a(x * ((y \ z) \ u),w,v5) != v6 | a(x * (u * (z \ y)),w,v5) = v6.
a(x * (y * (((z \ u) \ w) \ v5)),v6,v7) = a(x * (y * ((w * (u \ z)) \ v5)),v6,v7).
a(x * (y * (z * (u \ (w \ v5)))),v6,v7) = a(x * (y * ((u * (v5 \ w)) \ z)),v6,v7).
a(x * (y * ((z * (u \ w)) \ v5)),v6,v7) = a(x * (y * (v5 * (z \ (w \ u)))),v6,v7).
a(x * (y * ((z * (u \ w)) \ v5)),v6,v7) != v8 | a(x * (y * (v5 * (z \ (w \ u)))),v6,v7) = v8.
a(x * (y * ((z * (u \ 1)) \ w)),v5,v6) != v7 | a(x * (y * (w * ((z \ 1) * u))),v5,v6) = v7.
a(x * (y * (z * ((u \ 1) * w))),v5,v6) = a(x * (y * (z * (u \ (1 \ w)))),v5,v6).
a(x * (y * (z * (u \ (1 \ w)))),v5,v6) = a(x * (y * (z * ((u \ 1) * w))),v5,v6).
a(x * (y * ((z * u) \ w)),v5,v6) = a(x * (y * (w * (z \ (u \ 1)))),v5,v6).
a(x * (y * (z * (u \ (w \ 1)))),v5,v6) = a(x * (y * ((u * w) \ z)),v5,v6).
a(x * (y * ((z \ (u \ 1)) * w)),v5,v6) = a(x * (y * ((z * u) \ w)),v5,v6).
a(x * (y * ((z * ((u * (w \ 1)) \ v5)) \ 1)),v6,v7) = a(x * (y * (((w * (u \ 1)) * v5) \ (z \ 1))),v6,v7).
a(x * (y * (z * (u \ L(w \ 1,v5,v6)))),v7,v8) = a(x * (y * ((u * L(w,v5,v6)) \ z)),v7,v8).
x != a(y * (z * (u \ (w \ v5))),v6,v7) | a(y * (((v5 \ w) * u) \ z),v6,v7) = x.
a(x * (((y \ z) * (u * w)) \ v5),v6,v7) = a(x * (v5 * ((u \ (w \ 1)) * (z \ y))),v6,v7).
a(x * (y * ((z \ (u \ 1)) * (w \ v5))),v6,v7) = a(x * (((v5 \ w) * (z * u)) \ y),v6,v7).
a(x * (y * ((z \ (u \ 1)) * (w * L(v5,w,z * u)))),v6,v7) = a(x * (y * L(w * ((z * u) \ v5),z * u,w)),v6,v7).
a(x * (y * (z * (u \ w))),v5,v6) = a(x * (y * (z * ((u \ 1) * w))),v5,v6).
a(x * (y * (z * ((u \ 1) * w))),v5,v6) = a(x * (y * (z * (u \ w))),v5,v6).
a(x * (y * (z * (u * (w \ 1)))),v5,v6) = a(x * (y * (z * (w \ u))),v5,v6).
a(x * (y * (z * (u * (w \ 1)))),v5,v6) != v7 | a(x * (y * L(u * (w \ z),w,u)),v5,v6) = v7.
a(x * (y * L(z * (u \ w),u,z)),v5,v6) = a(x * (y * (w * (u \ z))),v5,v6).
a(x * (y * (z * ((z * u) \ w))),v5,v6) = a(x * (y * ((z \ w) * (u \ z))),v5,v6).
a(x * (y * ((z \ u) * (w \ z))),v5,v6) = a(x * (y * (z * ((z * w) \ u))),v5,v6).
a(x * (y * ((z \ (u \ 1)) * (w \ v5))),v6,v7) = a(x * (((v5 \ w) * (u * z)) \ y),v6,v7).
a(x * (y * ((z \ u) * (w \ z))),v5,v6) != v7 | a(x * (y * (z * ((z * w) \ u))),v5,v6) = v7.
a(x * (y * (z * ((z * u) \ (w \ 1)))),v5,v6) = a(x * (((z \ u) * (w * z)) \ y),v5,v6).
a(x * (y * (z * (u \ (w \ 1)))),v5,v6) != v7 | a(x * (y * ((u * w) \ z)),v5,v6) = v7.
a(x * (y * (((z * u) * w) \ z)),v5,v6) = a(x * (((z \ u) * (w * z)) \ y),v5,v6).
a(x * (((y \ z) * (u * y)) \ w),v5,v6) = a(x * (w * (((y * z) * u) \ y)),v5,v6).
a(x * (((y \ z) * (u * y)) \ w),v5,v6) = a(x * (w * ((u * (y * z)) \ y)),v5,v6).
a(x * (((y \ z) * u) \ w),v5,v6) != v7 | a(x * (w * (u \ (z \ y))),v5,v6) = v7.
a(x * (y * ((z * u) \ (w \ u))),v5,v6) = a(x * (y * ((z * (u * w)) \ u)),v5,v6).
a(x * (y * ((z * (u * w)) \ u)),v5,v6) = a(x * (y * ((z * u) \ (w \ u))),v5,v6).
x != a(y * (z * (u \ w)),v5,v6) | a(y * ((w \ u) \ z),v5,v6) = x.
a(x * (((y \ z) \ (u * z)) \ w),v5,v6) = a(x * (w * ((u * (z * y)) \ z)),v5,v6).
a(x * (((y \ (z \ u)) \ u) \ w),v5,v6) = a(x * (w * ((z * (u * y)) \ u)),v5,v6).
a(x * (y * (z \ (u \ (w \ z)))),v5,v6) = a(x * (y * ((w * (z * u)) \ z)),v5,v6).
a(x * (y * ((z * (u * w)) \ u)),v5,v6) = a(x * (y * (u \ (w \ (z \ u)))),v5,v6).
a(x * (y * ((z * (u * (y * w))) \ y)),v5,v6) = a(x * ((z \ y) * (y \ (w \ (u \ y)))),v5,v6).
a(x * ((y \ z) * (z \ (u \ (w \ z)))),v5,v6) = a(x * (z * ((y * (w * (z * u))) \ z)),v5,v6).
a(x * (y * (z \ (u * (w \ z)))),v5,v6) != v7 | a(x * (y * (z * (w \ (z \ u)))),v5,v6) = v7.
a(x * (y * (L(z \ 1,u,w) * ((v5 * (L(z \ 1,u,w) * v6)) \ L(z \ 1,u,w)))),v7,v8) = a(x * (y * ((v5 * L(z,u,w)) \ (L(z \ 1,u,w) \ (v6 \ L(z \ 1,u,w))))),v7,v8).
a(x * (y * ((z * (u * (y * w))) \ y)),v5,v6) != v7 | a(x * (y * ((y * z) \ (w \ (u \ y)))),v5,v6) = v7.
a(x * (y * ((z * ((u * (w \ 1)) \ v5)) \ 1)),v6,v7) = a(x * (y * ((v5 * (w * (u \ 1))) \ (z \ 1))),v6,v7).
x != a(y * (z * (u \ (w \ 1))),v5,v6) | a(y * ((w * u) \ z),v5,v6) = x.
a(x * ((y * (z * (u * (w \ 1)))) \ v5),v6,v7) = a(x * (v5 * ((y * ((w * (u \ 1)) \ z)) \ 1)),v6,v7).
a(x * (y * ((z * ((u * (w \ 1)) \ v5)) \ 1)),v6,v7) = a(x * ((z * (v5 * (w * (u \ 1)))) \ y),v6,v7).
a(x * ((y * ((z * (u \ 1)) \ w)) \ v5),v6,v7) = a(x * ((y * (w * (u * (z \ 1)))) \ v5),v6,v7).
a(x * ((y * (z \ u)) \ w),v5,v6) != v7 | a(x * (w * (y \ (u \ z))),v5,v6) = v7.
a(x * (y * (z \ (u \ (w * (v5 \ 1))))),v6,v7) = a(x * ((z * (u * (v5 * (w \ 1)))) \ y),v6,v7).
a(x * ((y * (z * (u * (w \ 1)))) \ v5),v6,v7) = a(x * (v5 * (y \ (z \ (w * (u \ 1))))),v6,v7).
a(x * (y \ (z \ (u \ z))),w,v5) != v6 | a((y * u) \ x,w,v5) = v6.
a(((x * (y * (z * (u \ 1)))) * w) \ v5,v6,v7) = a(v5 * ((v8 \ (w \ v8)) * (x \ (y \ (u * (z \ 1))))),v6,v7).
a(x * ((y \ (z \ y)) * (u \ (w \ (v5 * (v6 \ 1))))),v7,v8) = a(((u * (w * (v6 * (v5 \ 1)))) * z) \ x,v7,v8).
x != a((y * z) \ u,w,v5) | a((z * y) \ u,w,v5) = x.
a((x * (y * (z * (u * (w \ 1))))) \ v5,v6,v7) = a(v5 * ((v8 \ (x \ v8)) * (y \ (z \ (w * (u \ 1))))),v6,v7).
a(x * ((y \ (z \ y)) * (u \ (w \ (v5 * (v6 \ 1))))),v7,v8) = a((z * (u * (w * (v6 * (v5 \ 1))))) \ x,v7,v8).
L(x,y,z * (u * (w \ (v5 * (v6 \ v7))))) = L(x,y,z * (u * (w \ ((v7 \ v6) \ v5)))).
L(x,y,z * (u * (w \ ((v5 \ v6) \ v7)))) = L(x,y,z * (u * (w \ (v7 * (v6 \ v5))))).
x * a(x,y,z * (u * (w \ (v5 * (v6 \ v7))))) = L(x,y,z * (u * (w \ ((v7 \ v6) \ v5)))).
L(x,y,z * (u * (w \ ((v5 \ w) \ v6)))) != v7 | L(x,y,z * (u * (v5 * (w \ (w \ v6))))) = v7.
L(x,y,z * (u * (w * (v5 \ (v5 \ v6))))) = L(x,y,z * (u * (v5 \ (v6 * (v5 \ w))))).
L(x,y,z * (u * (w \ (v5 * (w \ v6))))) = L(x,y,z * (u * (v6 * (w \ (w \ v5))))).
a(x,y,z * (u * (w \ ((v5 \ v6) \ v7)))) = a(x,y,z * (u * (w \ (v7 * (v6 \ v5))))).
L(x,y,z * (u * (w \ ((v5 \ v6) \ v7)))) != v8 | L(x,y,z * (u * (w \ (v7 * (v6 \ v5))))) = v8.
a(x,y,z * (u * (w * ((v5 \ v6) \ v7)))) = a(x,y,z * (u * ((w \ a((v5 \ v6) \ v7,w,w)) \ (v7 * (v6 \ v5))))).
a(x,y,z * (u * ((w \ a((v5 \ v6) \ v7,w,w)) \ (v7 * (v6 \ v5))))) = a(x,y,z * (u * (w * ((v5 \ v6) \ v7)))).
L(x,y * (z \ (u \ (w \ v5))),v6) = L(x,(z * (u * (v5 \ w))) \ y,v6).
L(x,(y * (z * (u \ w))) \ v5,v6) = L(x,v5 * (y \ (z \ (w \ u))),v6).
L(x,(y * z) \ u,w) = L(x,u * (y \ (v5 \ (z \ v5))),w).
L(x,y * (z \ (u \ (w \ u))),v5) = L(x,(z * w) \ y,v5).
L(x,y * (z \ (u \ w)),v5) = L(x,(z * (w \ u)) \ y,v5).
L(x,(y * (z \ u)) \ w,v5) = L(x,w * (y \ (u \ z)),v5).
L(x,(y * (z \ y)) \ u,w) != v5 | L(x,y \ ((u \ y) \ z),w) = v5.
L(x,y \ ((z \ y) \ u),w) = L(x,z * (y \ (y \ u)),w).
L(x,y \ ((z \ y) \ (y * u)),w) = L(x,z * (y \ u),w).
L(x,y \ L(z,u,w \ 1),v5) = L(x,z * (y \ a(w,u,z)),v5).
L(x,y \ (((z \ 1) * u) \ (u * (((z \ 1) \ 1) \ w))),v5) = L(x,L(w,z \ 1,u) * (y \ a(z,z \ 1,L(w,z \ 1,u))),v5).
L(x,L(y,z \ 1,u) * (w \ a(z,z \ 1,L(y,z \ 1,u))),v5) = L(x,w \ (((z \ 1) * u) \ (u * (((z \ 1) \ 1) \ y))),v5).
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).
L(x,y * (z * ((u \ w) \ v5)),v6) != v7 | L(x,y * (z * (v5 * (w \ u))),v6) = v7.
L(x,(y \ 1) * z,u) != w | L(x,y \ z,u) = w.
L(x,y \ (z * ((u \ w) \ v5)),v6) = L(x,(y \ 1) * (z * (v5 * (w \ u))),v6).
L(x,(y \ 1) * (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).
L(x,y \ (z * ((u \ w) \ v5)),v6) = L(x,y \ (z * (v5 * (w \ u))),v6).
x != L(y,z \ ((u \ 1) * w),v5) | L(y,z \ (u \ w),v5) = x.
L(x,y \ (z \ (u * (w \ v5))),v6) = L(x,y \ ((z \ 1) * ((v5 \ w) \ u)),v6).
L(x,y \ ((z \ 1) * ((u \ w) \ v5)),v6) = L(x,y \ (z \ (v5 * (w \ u))),v6).
L(x,y \ (z * (u \ w)),v5) = L(x,y \ (z * (w * (u \ 1))),v5).
L(x,y \ (z * (u * (w \ 1))),v5) = L(x,y \ (z * (w \ u)),v5).
L(x,y \ (z * (u * (w \ 1))),v5) != v6 | L(x,y \ ((w * (u \ 1)) \ z),v5) = v6.
L(x,y \ ((z * (u \ 1)) \ w),v5) = L(x,y \ (w * (z \ u)),v5).
L(x,y \ ((z \ 1) * u),w) != v5 | L(x,y \ (z \ u),w) = v5.
L(x,y \ (z \ ((u \ w) \ v5)),v6) = L(x,y \ (z \ (v5 * (w \ u))),v6).
L(x,y \ ((z \ u) \ w),v5) = L(x,y \ (1 \ (w * (u \ z))),v5).
L(x,y \ (1 \ (z * (u \ w))),v5) = L(x,y \ ((w \ u) \ z),v5).
L(x,y \ (z * (u \ w)),v5) = L(x,y \ ((w \ u) \ z),v5).
L(x,y \ ((z \ u) \ w),v5) = L(x,y \ (w * (u \ z)),v5).
x != L(y,z \ (u * (w \ v5)),v6) | L(y,z \ ((w * (v5 \ 1)) \ u),v6) = x.
L(x,y \ ((z * (u \ 1)) \ w),v5) = L(x,y \ ((u \ z) \ w),v5).
L(x,y \ (((((z \ 1) \ u) * (z \ w)) \ w) \ z),v5) = L(x,y \ ((z \ 1) \ L(u,z,z \ w)),v5).
L(x,y * ((z * u) * (z \ w)),v5) != v6 | L(x,y * (z * (w * (z \ u))),v5) = v6.
L(x,y \ ((z \ (u * (((u \ 1) \ w) \ z))) \ u),v5) = L(x,y \ ((u \ 1) \ L(w,u,u \ z)),v5).
L(x,y \ ((z \ u) \ ((((u \ 1) \ w) \ z) \ u)),v5) = L(x,y \ ((u \ 1) \ L(w,u,u \ z)),v5).
L(x,y \ (z \ ((u \ w) \ v5)),v6) != v7 | L(x,y \ (z \ (v5 * (w \ u))),v6) = v7.
L(x,y \ ((z \ u) \ (u * (z \ ((u \ 1) \ w)))),v5) = L(x,y \ ((u \ 1) \ L(w,u,u \ z)),v5).
L(x,y * (z * (u \ (w \ v5))),v6) = L(x,y * ((u * (v5 \ w)) \ z),v6).
L(x,y * ((z * (u \ w)) \ v5),v6) = L(x,y * (v5 * (z \ (w \ u))),v6).
L(x,y * ((z * (u \ w)) \ (z * w)),v5) != v6 | L(x,y * L(u,w,z),v5) = v6.
L(x,y * L(z,u,w),v5) = L(x,y * ((w * u) * (w \ (u \ z))),v5).
L(x,y * ((z * u) * (z \ (u \ w))),v5) = L(x,y * L(w,u,z),v5).
L(x,y * (z \ (u * (w \ z))),v5) = L(x,y * (z * (w \ (z \ u))),v5).
L(x,y * (z * ((u \ w) * (z \ u))),v5) = L(x,y * L(w,u,z),v5).
L(x,y * (z * ((z \ u) * (u \ w))),v5) = L(x,y * L(w,u,z),v5).
L(x,y * (z \ (u * ((w \ u) \ z))),v5) != v6 | L(x,y * L(w,u,u \ z),v5) = v6.
L(x,y * L(z,u,u \ w),v5) = L(x,y * (w * ((z \ u) \ (w \ u))),v5).
L(x,y * (z * ((u \ w) \ (z \ w))),v5) = L(x,y * L(u,w,w \ z),v5).
L(x,y * (z * ((z \ u) * (u \ w))),v5) = L(x,y * L(w,u,u \ z),v5).
L(x,y * (z * ((z \ u) * (u \ w))),v5) != v6 | L(x,y * L(w,u,z),v5) = v6.
L(x,y * L(z,u,w),v5) = L(x,y * L(z,u,u \ w),v5).
L(x,y * L(z,u,u \ w),v5) = L(x,y * L(z,u,w),v5).
L(x,y \ (z * L(u,w,w \ v5)),v6) = L(x,(y \ z) * L(L(u,z \ y,y),w,v5),v6).
L(x,y \ (z * L(u,w,w \ v5)),v6) = L(x,y \ (z * L(u,w,v5)),v6).
a(x,y,z * (u * ((w \ a(v5 * (v6 \ v7),w,w)) \ (v5 * (v6 \ v7))))) = a(x,y,z * (u * (w * ((v7 \ v6) \ v5)))).
a(x,y,z * (u * (w * (v5 * (v6 \ v7))))) = a(x,y,z * (u * (w * ((v7 \ v6) \ v5)))).
a(x,y,z * (u * (w * ((v5 \ v6) \ v7)))) = a(x,y,z * (u * (w * (v7 * (v6 \ v5))))).
a(x,y,z * (u * (w * ((v5 \ 1) \ (v6 \ v5))))) != v7 | a(x,y,z * (u * (w * (1 \ (v6 \ (v5 * v5)))))) = v7.
a(x,y,z * (u * (w * (1 \ (v5 \ (v6 * v6)))))) = a(x,y,z * (u * (w * ((v5 \ v6) * (1 \ v6))))).
a(x,y,z * (u * (w * (v5 \ v6)))) = a(x,y,z * (u * (w * (v6 * (v5 \ 1))))).
a(x,y,z * (u * (w * (v5 * (v6 \ 1))))) = a(x,y,z * (u * (w * (v6 \ v5)))).
a(x,y,z * (((u \ 1) \ w) * (w \ v5))) = a(x,y,z * (w * (v5 * (w \ u)))).
a(x,y,z * ((u \ z) * (z \ w))) != v5 | a((z * w) \ L(u,v6,v6),y,x) = v5.
a((x * y) \ L(z \ 1,u,u),w,v5) = a(v5,w,x * (x * (y * (x \ z)))).
a(x,y,(z * u) * L(w,v5,v5)) = a(x,y,z * (z * (u * (z \ w)))).
a(x,y,z * L(u,x,w)) != v5 | a(x,y,u * z) = v5.
a(x,y,z * (u * w)) = a(x,y,u * (u * (w * (u \ z)))).
a(x,y,z * (z * (u * (z \ w)))) = a(x,y,w * (z * u)).
a(x,y,z * (z * ((u \ w) * (z \ ((u \ w) \ (z \ v5)))))) != v6 | a(x,y,L(v5,z,(u \ z) * w)) = v6.
a(x,y,L(z,u,(w \ u) * v5)) = a(x,y,((w \ v5) \ (u \ z)) * (u * (w \ v5))).
a(x,y,((z \ u) \ (w \ v5)) * (w * (z \ u))) = a(x,y,L(v5,w,(z \ w) * u)).
a(x,y,(z * (u \ w)) * ((u \ w) \ (z \ v5))) = a(x,y,L(v5,z,(u \ z) * w)).
a(x,y,(z * (u \ w)) * ((z \ v5) * (w \ u))) = a(x,y,L(v5,z,(u \ z) * w)).
a(x,y,(z * (u \ (w \ v5))) * ((z \ v6) * (u * (v5 \ w)))) = a(x,y,L(v6,z,(u \ z) * (w \ v5))).
a(x,y,z * (u * (w * (1 \ (v5 \ (v6 * v6)))))) = a(x,y,z * (u * (w * ((v5 \ v6) * v6)))).
a(x,y,z * (u * (w * (1 \ (v5 \ (v6 * v6)))))) = a(x,y,z * (u * (w * (v6 * (v5 \ v6))))).
a(x,y,z * (u * (w * (v5 \ (v6 * v6))))) = a(x,y,z * (u * (w * (v6 * (v5 \ v6))))).
x != a(y,z,L(u,w,(v5 \ w) * v6)) | a(y,z,L(u,w,v5 \ v6)) = x.
a(x,y,L(z,u,w \ (v5 \ v6))) = a(x,y,(u * (w \ (v5 \ v6))) * ((u \ z) * (w * (v6 \ v5)))).
a(x,y,(z * (u \ (w \ v5))) * ((z \ v6) * (u * (v5 \ w)))) = a(x,y,L(v6,z,u \ (w \ v5))).
a(x,y,(z * (u \ ((w \ u) \ (u \ 1)))) * ((z \ v5) * (((u * u) \ w) \ u))) = a(x,y,L(v5,z,u \ ((w \ u) \ (u \ 1)))).
a(x * ((y \ (z \ 1)) \ ((z \ 1) * (u * (z \ 1)))),w,v5) = a(((y \ ((z \ 1) \ (u \ (z \ 1)))) * z) \ x,w,v5).
L(x,y,z * (u * ((w \ v5) * (v6 * L(v7,v6,v5 \ w))))) = L(x,y,z * (u * L(v6 * ((v5 \ w) \ v7),v5 \ w,v6))).
L(x,y,z * (u * L(w * ((v5 \ v6) \ v7),v5 \ v6,w))) = L(x,y,z * (u * ((v6 \ v5) * (w * L(v7,w,v5 \ v6))))).
L(x,y,z * (u * L(w * ((v5 \ v6) \ v7),v5 \ v6,w))) = L(x,y,z * (u * (v7 * (w * (v6 \ v5))))).
x \ y != L(z,u,w * (v5 * (v6 * (v7 * (v8 \ v9))))) | L(z,u,w * (v5 * L(v7 * ((v9 \ v8) \ v6),v9 \ v8,v7))) \ y = x.
L(x,y,z * (u * L(w * ((v5 \ v6) \ v7),v5 \ v6,w))) \ x = a(z * (u * (v7 * (w * (v6 \ v5)))),y,x).
L(x,y,z * (u * L(w * (v5 \ v6),1 \ v5,w))) = L(x,y,z * (u * (v6 * (w * (v5 \ 1))))).
L(x,y,z * (u * L(w * (v5 \ v6),v5,w))) = L(x,y,z * (u * (v6 * (w * (v5 \ 1))))).
L(x,y,z * (u * (w * (v5 * ((v6 \ v7) \ 1))))) \ x = a(z * (u * (w * (v5 * (v7 \ v6)))),y,x).
a(x * (y * (z * (u * ((w \ v5) \ 1)))),v6,v7) = a(x * (y * (z * (u * (v5 \ w)))),v6,v7).
a(x * (y * (z * (u * (w \ 1)))),v5,v6) != v7 | a(x * (y * (z * (w \ u))),v5,v6) = v7.
a(x * (y * (z * ((u \ w) \ v5))),v6,v7) = a(x * (y * (z * (v5 * (w \ u)))),v6,v7).
a(x * (y \ (z * ((u \ w) \ v5))),v6,v7) = a(x * ((y \ 1) * (z * (v5 * (w \ u)))),v6,v7).
a(x * ((y \ 1) * (z * (u * (w \ v5)))),v6,v7) = a(x * (y \ (z * ((v5 \ w) \ u))),v6,v7).
a(x * (y \ (z * (u * (w \ v5)))),v6,v7) = a(x * (y \ (z * ((v5 \ w) \ u))),v6,v7).
a(x * (y \ (z * ((u \ w) \ v5))),v6,v7) = a(x * (y \ (z * (v5 * (w \ u)))),v6,v7).
a(x * ((y \ 1) * (z * (u * w))),v5,v6) = a(x * (y \ (z * ((w \ 1) \ u))),v5,v6).
a(x * (y \ (z * ((u \ 1) \ w))),v5,v6) = a(x * ((y \ 1) * (z * (w * u))),v5,v6).
a(x * (y \ (z * ((u \ w) \ v5))),v6,v7) != v8 | a(x * (y \ (z * (v5 * (w \ u)))),v6,v7) = v8.
a(x * (y \ (z * (u \ w))),v5,v6) = a(x * (y \ (z * (w * (u \ 1)))),v5,v6).
a(x * (y \ (z * (u * (w \ 1)))),v5,v6) = a(x * (y \ (z * (w \ u))),v5,v6).
a(x * (y \ (z * ((u \ w) \ (v5 \ w)))),v6,v7) = a(x * (y \ (z * (w * ((v5 * w) \ u)))),v6,v7).
a(x * (y * (z \ (u * ((w \ v5) \ v6)))),v7,v8) = a(x * (L(y \ z,y,z \ (u * ((w \ v5) \ v6))) \ (u * (v6 * (v5 \ w)))),v7,v8).
a(x * (L(y \ z,y,z \ (u * ((w \ v5) \ v6))) \ (u * (v6 * (v5 \ w)))),v7,v8) = a(x * (y * (z \ (u * ((w \ v5) \ v6)))),v7,v8).
a(x * ((y \ (z \ 1)) \ ((z \ 1) * (u * (z \ 1)))),w,v5) != v6 | a(((y \ ((z \ 1) \ (u \ (z \ 1)))) * z) \ x,w,v5) = v6.
a(((x \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ u,w,v5) = a(u * ((x \ (y \ 1)) \ ((y \ 1) * (y \ z))),w,v5).
a(x * (y \ (z * ((u \ 1) \ w))),v5,v6) = a(x * ((y \ 1) * (z * (u * w))),v5,v6).
x != a(y * ((z \ 1) * u),w,v5) | a(y * (z \ u),w,v5) = x.
a(x * (y \ (z * (u * w))),v5,v6) = a(x * (y \ (z * ((u \ 1) \ w))),v5,v6).
a(x * (y \ (z * ((u \ 1) \ w))),v5,v6) = a(x * (y \ (z * (u * w))),v5,v6).
a(x * (y \ (z * ((u \ 1) \ w))),v5,v6) != v7 | a(x * (y \ (z * (u * w))),v5,v6) = v7.
a(x * (y \ (z * (u \ (w \ u)))),v5,v6) != v7 | a(x * (y \ (w \ z)),v5,v6) = v7.
a(x * (y \ (z \ u)),w,v5) = a(x * (y \ (u * (v6 * (z \ (v6 \ 1))))),w,v5).
a(x * (y \ (z * (u * (w \ (u \ 1))))),v5,v6) = a(x * (y \ (w \ z)),v5,v6).
a(x * (y \ (z * (u * (w \ v5)))),v6,v7) != v8 | a(x * (y \ (z * ((v5 \ w) \ u))),v6,v7) = v8.
a(x * (y \ (z * (((u \ 1) \ w) \ u))),v5,v6) = a(x * (y \ (w \ z)),v5,v6).
a(x * (y \ (z * ((u \ 1) * (w \ u)))),v5,v6) = a(x * (y \ (w \ z)),v5,v6).
a(x * (y \ (z * L(u \ (w \ u),u,u))),v5,v6) = a(x * (y \ (w \ z)),v5,v6).
a(x * (y \ (z * ((u * u) \ (u * (w \ u))))),v5,v6) = a(x * (y \ (w \ z)),v5,v6).
a(x * (y \ (z * (u \ z))),w,v5) = a(x * (y \ (u \ (z * z))),w,v5).
a(x * (y \ (z \ (u * u))),w,v5) = a(x * (y \ (u * (z \ u))),w,v5).
x != a(y * (z \ (u * (w \ u))),v5,v6) | a(y * (u * (w \ (z \ u))),v5,v6) = x.
a(x * (y * (z \ (u \ y))),w,v5) = a(x * (u \ (z \ (y * y))),w,v5).
a(x * (y \ (z \ (u * u))),w,v5) = a(x * (u * (z \ (y \ u))),w,v5).
a(x * (y \ ((z \ 1) \ (u * u))),w,v5) != v6 | a(x * (y \ (z \ ((u * z) * (u * z)))),w,v5) = v6.
a(x * (y \ (z \ ((u * z) * (u * z)))),w,v5) = a(x * (u * ((z \ 1) \ (y \ u))),w,v5).
x != a(y * (z * ((u \ 1) \ w)),v5,v6) | a(y * (z * (w * u)),v5,v6) = x.
a(x * (y * ((z \ y) * u)),w,v5) = a(x * (z \ (u \ ((y * u) * (y * u)))),w,v5).
a(x * (y \ (z \ ((u * z) * (u * z)))),w,v5) = a(x * (u * ((y \ u) * z)),w,v5).
x != a(y * (z * (u * w)),v5,v6) | a(y * (z * (w * u)),v5,v6) = x.
a(x * (y * (z * (u \ y))),w,v5) = a(x * (u \ (z \ ((y * z) * (y * z)))),w,v5).
a(x * (y \ (z \ ((u * z) * (u * z)))),w,v5) = a(x * (u * (z * (y \ u))),w,v5).
a(x * (y \ (z * ((z \ 1) \ u))),w,v5) = a(x * (z * (u * (y \ z))),w,v5).
a(x * (y \ (z * (z * u))),w,v5) = a(x * (z * (u * (y \ z))),w,v5).
a(x * (y \ (z * ((u \ w) * (w \ v5)))),v6,v7) = a(x * (y \ (z * (w * ((u * w) \ v5)))),v6,v7).
a(x * (y \ (z * ((u \ w) * (w \ v5)))),v6,v7) = a(x * (y \ (z * (w * ((w * u) \ v5)))),v6,v7).
x != a(y * (z \ ((u \ 1) * w)),v5,v6) | a(y * (z \ (u \ w)),v5,v6) = x.
a(x * ((y \ (z \ 1)) \ (z \ (z \ u))),w,v5) = a(((y \ ((z \ 1) \ (u \ (z \ 1)))) * z) \ x,w,v5).
a(((x \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ u,w,v5) = a(u * ((x \ (y \ 1)) \ (y \ (y \ z))),w,v5).
a(x * ((y \ (y \ z)) * ((y \ 1) \ u)),w,v5) = a(((u \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ x,w,v5).
a(((x \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ u,w,v5) = a(u * ((y \ (y \ z)) * ((y \ 1) \ x)),w,v5).
a(x * ((y \ (y \ z)) * (u * y)),w,v5) = a(((u \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ x,w,v5).
a(((x \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ u,w,v5) = a(u * ((y \ (y \ z)) * (x * y)),w,v5).
x != a(y * ((z \ u) * (w * z)),v5,v6) | a(y * (z * (u * (z \ w))),v5,v6) = x.
a(x * (y * ((y \ z) * (y \ u))),w,v5) = a(((u \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ x,w,v5).
a(((x \ ((y \ 1) \ (z \ (y \ 1)))) * y) \ u,w,v5) = a(u * (y * ((y \ z) * (y \ x))),w,v5).
a(x * (y \ (((y \ 1) \ (z \ (y \ 1))) \ u)),w,v5) = a(x * (y * ((y \ z) * (y \ u))),w,v5).
a(x * (y \ (z * ((u \ (y \ 1)) \ (y \ 1)))),w,v5) = a(x * (y * ((y \ u) * (y \ z))),w,v5).
a(x * (y \ (z * u)),w,v5) = a(x * (y * ((y \ u) * (y \ z))),w,v5).
a(x * (y * ((y \ z) * (y \ u))),w,v5) = a(x * (y \ (u * z)),w,v5).
a(x * (y * (z * (y \ u))),w,v5) = a(x * (y \ (u * (y * z))),w,v5).
a(x * (y \ (z * (y * u))),w,v5) = a(x * (y * (u * (y \ z))),w,v5).
x != a(y,z,u) | L(u,z,y) \ u = x.
L(x,y,z * (u * (w * (u \ v5)))) \ x = a(z * (u \ (v5 * (u * w))),y,x).
x \ y != a((z \ 1) * u,w,y) | L(y,w,z \ u) = x.
L(x,y,z \ (u \ (w * (u * v5)))) = L(x,y,(z \ 1) * (u * (v5 * (u \ w)))).
L(x,y,(z \ 1) * (u * (w * (u \ v5)))) = L(x,y,z \ (u \ (v5 * (u * w)))).
L(x,y,(z \ 1) * ((u \ w) * (u * v5))) = L(x,y,z \ (u \ (v5 * (u * w)))).
L(x,y,z \ (u * (w * (u \ v5)))) = L(x,y,z \ (u \ (v5 * (u * w)))).
L(x,y,z \ (u \ (w * (u * v5)))) = L(x,y,z \ (u * (v5 * (u \ w)))).
L(x,y,z \ ((u \ w) * (u * v5))) = L(x,y,z \ (u \ (v5 * (u * w)))).
L(x,y,z \ (u \ (w * (u * v5)))) = L(x,y,z \ ((u \ v5) * (u * w))).
L(x,y,z \ (u \ (w * (u * v5)))) != v6 | L(x,y,z \ (u * (v5 * (u \ w)))) = v6.
L(x,y,z \ (u * (w * (u \ v5)))) = L(x,y,z \ ((u \ w) * (u * v5))).
L(x,y,z \ ((u \ w) * (u * v5))) = L(x,y,z \ (u * (w * (u \ v5)))).
L(x,y,(z \ u) * (z * w)) = L(x,y,1 \ (z * (u * (z \ w)))).
L(x,y,1 \ (z * (u * (z \ w)))) = L(x,y,(z \ u) * (z * w)).
L(x,y,z * (u * (z \ w))) = L(x,y,(z \ u) * (z * w)).
L(x,y,(z \ u) * (z * w)) = L(x,y,z * (u * (z \ w))).
L(x,y,z * (u * ((u \ w) * (v5 \ u)))) != v6 | L(x,y,z * (v5 \ (u * w))) = v6.
L(x,y,(z \ u) * (w \ (z * v5))) = L(x,y,z * (u * (z \ ((z \ v5) * (w \ z))))).
L(x,y,z * (u * (z \ ((z \ w) * (v5 \ z))))) = L(x,y,(z \ u) * (v5 \ (z * w))).
L(x,y,L(z \ u,z,u \ (w \ (v5 * (v6 \ v7)))) \ (w \ (v5 * (v6 \ v7)))) = L(x,y,z * (u \ (w \ ((v7 \ v6) \ v5)))).
L(x,y,z * (u \ (w \ (v5 * (v6 \ v7))))) = L(x,y,z * (u \ (w \ ((v7 \ v6) \ v5)))).
L(x,y,z * (u \ (w \ ((v5 \ v6) \ v7)))) = L(x,y,z * (u \ (w \ (v7 * (v6 \ v5))))).
x \ y != L(z,u,w * (v5 \ (v6 \ ((v7 \ v8) \ v9)))) | L(z,u,w * (v5 \ (v6 \ (v9 * (v8 \ v7))))) \ y = x.
L(x,y,z * (u \ (w \ (v5 * (v6 \ v7))))) \ x = a(z * (u \ (w \ ((v7 \ v6) \ v5))),y,x).
a(x * (y \ (z \ (u * (w \ v5)))),v6,v7) = a(x * (y \ (z \ ((v5 \ w) \ u))),v6,v7).
a(x * (y \ (z \ ((u \ w) \ v5))),v6,v7) = a(x * (y \ (z \ (v5 * (w \ u)))),v6,v7).
a(x * (y * (z \ (u \ ((w \ v5) \ v6)))),v7,v8) = a(x * (L(y \ z,y,z \ (u \ ((w \ v5) \ v6))) \ (u \ (v6 * (v5 \ w)))),v7,v8).
a(x * (L(y \ z,y,z \ (u \ ((w \ v5) \ v6))) \ (u \ (v6 * (v5 \ w)))),v7,v8) = a(x * (y * (z \ (u \ ((w \ v5) \ v6)))),v7,v8).
L(x,y,z * (((u \ (w \ v5)) * (u * L(v6,u,u))) \ v7)) = L(x,y,z * (v7 * ((u \ 1) * ((u \ v6) \ (v5 \ w))))).
L(x,y,z * (((u \ (w \ v5)) * ((u \ 1) \ v6)) \ v7)) = L(x,y,z * (v7 * ((u \ 1) * ((u \ v6) \ (v5 \ w))))).
L(x,y,z * (u * ((w \ (v5 \ v6)) \ (v7 \ (w \ 1))))) = L(x,y,z * (u * ((w \ 1) * ((w \ v7) \ (v6 \ v5))))).
L(x,y,z * (u * ((w \ (v5 \ 1)) * ((v6 \ v7) \ v5)))) = L(x,y,z * (u * ((v5 \ 1) * ((v5 \ w) \ (v7 \ v6))))).
x != L(y,z,u * (w * ((v5 \ 1) * v6))) | L(y,z,u * (w * (v5 \ v6))) = x.
L(x,y,z * (u * (w \ ((w \ v5) \ (v6 \ v7))))) = L(x,y,z * (u * ((v5 \ (w \ 1)) * ((v7 \ v6) \ w)))).
L(x,y,z * (u * ((w \ (v5 \ 1)) * ((v6 \ v7) \ v5)))) = L(x,y,z * (u * (v5 \ ((v5 \ w) \ (v7 \ v6))))).
x != L(y,z,u * (w * (v5 \ ((v6 \ v7) \ v8)))) | L(y,z,u * (w * (v5 \ (v8 * (v7 \ v6))))) = x.
L(x,y,z * (u * (w \ ((v5 \ v6) * (v7 \ w))))) = L(x,y,z * (u * ((v7 \ (w \ 1)) * ((v6 \ v5) \ w)))).
L(x,y,z * (u * ((w \ (v5 \ 1)) * ((v6 \ v7) \ v5)))) = L(x,y,z * (u * (v5 \ ((v7 \ v6) * (w \ v5))))).
L(x,y,z * (u * (w \ ((v5 \ v6) * (v7 \ w))))) != v8 | L(x,y,z * (u * (w * (v7 \ ((w * (v6 \ v5)) \ 1))))) = v8.
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,((w * (u \ 1)) \ (w * (((u \ 1) \ 1) \ z))) \ v5).
a(x * (y * (z * (u * (w \ (v5 \ 1))))),v6,v7) = a(x * (y * L(u * ((w * v5) \ z),w * v5,u)),v6,v7).
a(x * (y * L(z * ((u * w) \ v5),u * w,z)),v6,v7) = a(x * (y * (v5 * (z * (u \ (w \ 1))))),v6,v7).
a(x * (y * L(z * (u \ w),u,z)),v5,v6) != v7 | a(x * (y * (w * (u \ z))),v5,v6) = v7.
a(x * (y * (z * ((u * w) \ v5))),v6,v7) = a(x * (y * (z * (v5 * (u \ (w \ 1))))),v6,v7).
a(x * (y * (z * (u * (w \ (v5 \ 1))))),v6,v7) = a(x * (y * (z * ((w * v5) \ u))),v6,v7).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,((w * (u \ 1)) \ (w * (u \ z))) \ v5).
L(x,y,z * ((u * (w \ v5)) \ (u * (w \ 1)))) = L(x,y,L(L(v5,w \ 1,u),w \ 1,w \ (w \ 1)) \ z).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * ((w * (u \ z)) \ (w * (u \ 1)))).
x != L(y,z,u * (w \ (v5 * (v6 \ 1)))) | L(y,z,u * (w \ (v6 \ v5))) = x.
L(x,y,z * ((u * (w \ v5)) \ (w \ u))) = L(x,y,L(L(v5,w \ 1,u),w \ 1,w \ (w \ 1)) \ z).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * ((w * (u \ z)) \ (u \ w))).
x != L(y,z,u * ((w * v5) \ (v6 \ w))) | L(y,z,u * (w \ (v6 \ (v5 \ w)))) = x.
L(x,y,z * (u \ (w \ ((w \ v5) \ u)))) = L(x,y,L(L(v5,w \ 1,u),w \ 1,w \ (w \ 1)) \ z).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * (w \ (u \ ((u \ z) \ w)))).
x != L(y,z,u * (w \ (v5 \ ((v6 \ v7) \ v8)))) | L(y,z,u * (w \ (v5 \ (v8 * (v7 \ v6))))) = x.
L(x,y,z * (u \ (w \ (u * (v5 \ w))))) = L(x,y,L(L(v5,w \ 1,u),w \ 1,w \ (w \ 1)) \ z).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * (w \ (u \ (w * (z \ u))))).
x != L(y,z,u * (w \ (v5 \ (w * v6)))) | L(y,z,u * (w * ((w * v5) \ v6))) = x.
L(x,y,z * (u * ((u * w) \ (v5 \ w)))) = L(x,y,L(L(v5,w \ 1,u),w \ 1,w \ (w \ 1)) \ z).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * (w * ((w * u) \ (z \ u)))).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * (w * ((u * w) \ (z \ u)))).
x != L(y,z,u * (w * ((v5 * v6) \ (v7 \ v5)))) | L(y,z,u * (w * (v5 \ (v7 \ (v6 \ v5))))) = x.
L(x,y,z * (u * (w \ (v5 \ (u \ w))))) = L(x,y,L(L(v5,w \ 1,u),w \ 1,w \ (w \ 1)) \ z).
L(x,y,L(L(z,u \ 1,w),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * (w * (u \ (z \ (w \ u))))).
L(x,y,L(L(z,u,w \ 1),u \ 1,u \ (u \ 1)) \ v5) = L(x,y,v5 * (w * (u \ (z \ (w \ u))))).
L(x,y,L(L(z,u,w \ 1),1 \ u,u * u) \ v5) = L(x,y,v5 * (w * (u \ (z \ (w \ u))))).
L(x,y,L(L(z,u,w \ 1),u,u * u) \ v5) = L(x,y,v5 * (w * (u \ (z \ (w \ u))))).
L(x,y,L(z,u,u * w) \ v5) != v6 | L(x,y,L(z,u,w) \ v5) = v6.
L(x,y,L(L(z,u,w \ 1),u,u) \ v5) = L(x,y,v5 * (w * (u \ (z \ (w \ u))))).
L(x,y,L(z,u,u) \ w) != v5 | L(x,y,z \ w) = v5.
L(x,y,L(z,u,w \ 1) \ v5) = L(x,y,v5 * (w * (u \ (z \ (w \ u))))).
L(x,y,z * (u * (w \ (v5 \ (u \ w))))) = L(x,y,L(v5,w,u \ 1) \ z).
x != L(y,z,L(u,w,v5 \ 1) \ v6) | L(y,z,L(u,v5,w) \ v6) = x.
L(x,y,L(z,u,w) \ v5) = L(x,y,v5 * (u * (w \ (z \ (u \ w))))).
L(x,y,z * (u * (w \ (v5 \ (u \ w))))) = L(x,y,L(v5,u,w) \ z).
a(x,y,(z * (u \ ((w \ u) \ (u \ 1)))) * ((z \ v5) * (u * (w \ (u * u))))) = a(x,y,L(v5,z,u \ ((w \ u) \ (u \ 1)))).
a(x,y,z * (u * (w * (v5 \ (v6 * v6))))) != v7 | a(x,y,z * (u * (w * (v6 * (v5 \ v6))))) = v7.
a(x,y,(z * (u \ ((w \ u) \ (u \ 1)))) * ((z \ v5) * (u * (u * (w \ u))))) = a(x,y,L(v5,z,u \ ((w \ u) \ (u \ 1)))).
L(x,y,z * ((u \ (w \ v5)) * (v6 * L(v7,v6,u * (v5 \ w))))) = L(x,y,z * L(v6 * ((u * (v5 \ w)) \ v7),u * (v5 \ w),v6)).
L(x,y,z * L(u * ((w * (v5 \ v6)) \ v7),w * (v5 \ v6),u)) = L(x,y,z * ((w \ (v6 \ v5)) * (u * L(v7,u,w * (v5 \ v6))))).
L(x,y,z * L(u * ((w * (v5 \ v6)) \ v7),w * (v5 \ v6),u)) = L(x,y,z * (v7 * (u * (w \ (v6 \ v5))))).
L(x,y,z * L(u * (w \ v5),w,u)) != v6 | L(x,y,z * (v5 * (w \ u))) = v6.
L(x,y,z * (u * ((w * (v5 \ v6)) \ v7))) = L(x,y,z * (u * (v7 * (w \ (v6 \ v5))))).
L(x,y,z * ((u \ w) * (v5 * (v6 \ u)))) = L(x,y,z * (u * (w * (v6 \ (u \ v5))))).
L(x,y,z * ((u * (w \ v5)) * (v5 \ v6))) = L(x,y,z * (v5 * (v6 * (w \ (v5 \ u))))).
L(x,y,z * (u * (w \ (v5 * (v6 \ w))))) = L(x,y,z * (u * (w * (v6 \ (w \ v5))))).
L(x,y,z * (u * (w * ((v5 * (w * v6)) \ w)))) != v7 | L(x,y,z * (u * (v6 \ (v5 \ w)))) = v7.
L(x,y,z * ((u \ w) * (v5 \ (v6 \ u)))) = L(x,y,z * (u * (w * ((v6 * (u * v5)) \ (u \ u))))).
L(x,y,z * (u * (w * ((v5 * (u * v6)) \ (u \ u))))) = L(x,y,z * ((u \ w) * (v6 \ (v5 \ u)))).
L(x,y,z * (u * (w * (v5 \ ((w * (v6 \ v7)) \ 1))))) = L(x,y,z * (u * (w * (v5 \ (w \ (v7 \ v6)))))).
L(x,y,z * (u * (z \ ((z \ w) * (v5 \ z))))) != v6 | L(x,y,(z \ u) * (v5 \ (z * w))) = v6.
L(x,y,(z \ u) * (w \ (z * v5))) = L(x,y,z * (u * (z * (w \ (z \ (z \ v5)))))).
L(x,y,z * (u * (z * (w \ (z \ (z \ v5)))))) = L(x,y,(z \ u) * (w \ (z * v5))).
L(x,y,z * (u * (w \ (((v5 \ 1) \ v6) * (v5 \ w))))) != v7 | L(x,y,z * (u * L(v6,v5,v5 \ w))) = v7.
L(x,y,z * (u * L(w,v5,v5 \ v6))) = L(x,y,z * (u * (v6 * (v5 \ (v6 \ ((v5 \ 1) \ w)))))).
L(x,y,z * (u * (w * (v5 \ (w \ ((v5 \ 1) \ v6)))))) = L(x,y,z * (u * L(v6,v5,v5 \ w))).
L(x,y,z * (u * (w \ ((v5 \ w) * v6)))) = L(x,y,z * (u * (w * (v5 \ (w \ v6))))).
L(x,y,z * (u * (w \ (v5 * (w \ v6))))) != v7 | L(x,y,z * (u * (v6 * (w \ (w \ v5))))) = v7.
L(x,y,z * (u * (w * (v5 \ (v5 \ (v6 \ v5)))))) = L(x,y,z * (u * (v5 * (v6 \ (v5 \ (v5 \ w)))))).
L(x,y,z * (u * (w * ((v5 * (u * v6)) \ 1)))) = L(x,y,z * ((u \ w) * (v6 \ (v5 \ u)))).
L(x,y,z * (u * (w * (v5 \ 1)))) != v6 | L(x,y,z * (u * (v5 \ w))) = v6.
L(x,y,z * (u * ((w * (u * v5)) \ v6))) = L(x,y,z * ((u \ v6) * (v5 \ (w \ u)))).
L(x,y,z * ((u \ w) * (v5 \ (v6 \ u)))) = L(x,y,z * (u * ((v6 * (u * v5)) \ w))).
L(x,y,z * (u * (w * (v5 \ (v5 \ (v6 \ v5)))))) != v7 | L(x,y,z * (u * ((v6 * v5) \ w))) = v7.
L(x,y,z * (u * ((w * v5) \ v6))) = L(x,y,z * (u * (v5 * (w \ (v5 \ (v5 \ v6)))))).
L(x,y,z * (u * (w * (v5 \ (w \ (w \ v6)))))) = L(x,y,z * (u * ((v5 * w) \ v6))).
L(x,y,z * (u * (z * (w \ (z \ (z \ v5)))))) != v6 | L(x,y,(z \ u) * (w \ (z * v5))) = v6.
L(x,y,(z \ u) * (w \ (z * v5))) = L(x,y,z * (u * ((w * z) \ v5))).
L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) = L(x,y,z * (u * (w * (v5 \ (w \ (v6 \ 1)))))).
L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) != v7 | L(x,y,z * (u * ((v5 \ (w \ 1)) * (v6 \ w)))) = v7.
L(x,y,z * (u * ((w \ (v5 \ 1)) * (v6 \ v5)))) = L(x,y,z * (u * (v5 * (w \ (v5 \ (v6 \ 1)))))).
L(x,y,z * (u * (w * (v5 \ v6)))) != v7 | L(x,y,z * (u * ((v6 \ v5) \ w))) = v7.
L(x,y,z * (u * ((w \ v5) \ (v6 \ (w \ 1))))) = L(x,y,z * (u * (w * (v6 \ (w \ (v5 \ 1)))))).
L(x,y,z * (u * (w * (v5 \ (w \ (v6 \ 1)))))) != v7 | L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) = v7.
L(x,L(y,z \ 1,u) * (w \ a(z,z \ 1,L(y,z \ 1,u))),v5) = L(x,w \ ((u * (z \ 1)) \ (u * (((z \ 1) \ 1) \ y))),v5).
a(x * (L(y \ z,y,z \ (u * (w * (v5 \ v6)))) \ (u * (w * (v5 \ v6)))),v7,v8) = a(x * (y * (z \ (u * ((v6 \ v5) \ w)))),v7,v8).
a(x * (L(y \ z,y,z \ (u \ (w * (v5 \ v6)))) \ (u \ (w * (v5 \ v6)))),v7,v8) = a(x * (y * (z \ (u \ ((v6 \ v5) \ w)))),v7,v8).
L(x,L(y,z \ 1,u) * (w \ a(z,z \ 1,L(y,z \ 1,u))),v5) = L(x,w \ ((u * (z \ 1)) \ (u * (z \ y))),v5).
L(x,L(y,z,u \ 1) * (w \ a(z,z \ 1,L(y,z \ 1,u))),v5) = L(x,w \ ((u * (z \ 1)) \ (u * (z \ y))),v5).
L(x,L(y,z,u \ 1) * (w \ a(z,z \ 1,y)),v5) = L(x,w \ ((u * (z \ 1)) \ (u * (z \ y))),v5).
L(x,y \ ((z * (u \ 1)) \ (z * (u \ w))),v5) = L(x,L(w,u,z \ 1) * (y \ a(u,u \ 1,w)),v5).
L(x,y \ ((z * (u \ 1)) \ (z * (u \ w))),v5) = L(x,L(w,u,z \ 1) * (y \ a(w,u,u)),v5).
x != L(y,z * (u \ a(w,v5,v5)),v6) | L(y,u \ z,v6) = x.
L(x,y \ L(z,u,w \ 1),v5) = L(x,y \ ((w * (u \ 1)) \ (w * (u \ z))),v5).
L(x,y \ ((z * (u \ 1)) \ (z * (u \ w))),v5) = L(x,y \ L(w,u,z \ 1),v5).
L(x,y \ ((z * (u \ 1)) \ w),v5) != v6 | L(x,y \ ((u \ z) \ w),v5) = v6.
L(x,y \ ((z \ u) \ (u * (z \ w))),v5) = L(x,y \ L(w,z,u \ 1),v5).
L(x,y \ ((z \ u) \ (u * (z \ ((u \ 1) \ w)))),v5) != v6 | L(x,y \ ((u \ 1) \ L(w,u,u \ z)),v5) = v6.
L(x,y \ ((z \ 1) \ L(u,z,z \ w)),v5) = L(x,y \ L((z \ 1) \ u,w,z \ 1),v5).
L(x,y \ L((z \ 1) \ u,w,z \ 1),v5) = L(x,y \ ((z \ 1) \ L(u,z,z \ w)),v5).
L(x,y \ L((z \ 1) \ u,w,v5),v6) != v7 | L(x,y \ L(z * u,w,v5),v6) = v7.
L(x,y \ L(z * u,w,z \ 1),v5) = L(x,y \ ((z \ 1) \ L(u,z,z \ w)),v5).
L(x,y \ ((z \ 1) \ L(u,z,z \ w)),v5) = L(x,y \ L(z * u,w,z \ 1),v5).
L(x,y \ ((z \ 1) \ u),w) != v5 | L(x,y \ (z * u),w) = v5.
L(x,y \ (z * L(u,z,z \ w)),v5) = L(x,y \ L(z * u,w,z \ 1),v5).
L(x,y \ L(z * u,w,z \ 1),v5) = L(x,y \ (z * L(u,z,z \ w)),v5).
L(x,y \ L(z,u,w \ 1),v5) != v6 | L(x,y \ L(z,w,u),v5) = v6.
L(x,y \ L(z * u,z,w),v5) = L(x,y \ (z * L(u,z,z \ w)),v5).
L(x,y \ (z * L(u,z,z \ w)),v5) = L(x,y \ L(z * u,z,w),v5).
L(x,y \ (z * L(u,w,w \ v5)),v6) != v7 | L(x,y \ (z * L(u,w,v5)),v6) = v7.
L(x,y \ (z * L(u,z,w)),v5) = L(x,y \ L(z * u,z,w),v5).
L(x,y \ L(z * u,z,w),v5) = L(x,y \ (z * L(u,z,w)),v5).
L(x,y \ L(z * (u \ w),z,u \ z),v5) = L(x,y \ (z * (z \ ((z \ u) \ w))),v5).
L(x,y \ ((z * u) * a(w,z,z * u)),v5) = L(x,y \ (z * L(u,z,w \ (z * u))),v5).
L(x,y \ L(z * (u \ w),z,u \ z),v5) = L(x,y \ ((z \ u) \ w),v5).
x != L(y,z \ ((u \ w) \ v5),v6) | L(y,z \ (v5 * (w \ u)),v6) = x.
L(x,y \ (z * (u \ w)),v5) = L(x,y \ L(w * (u \ z),w,u \ w),v5).
L(x,y \ L(z * (u \ w),z,u \ z),v5) = L(x,y \ (w * (u \ z)),v5).
L(x,y \ ((z * u) * a(w,z,z * u)),v5) = L(x,y \ (z * L(u,z,w \ z)),v5).
x != L(y,z \ (u * L(w,u,v5)),v6) | L(y,z \ L(u * w,u,v5),v6) = x.
L(x,y \ L(z * u,z,w \ z),v5) = L(x,y \ ((z * u) * a(w,z,z * u)),v5).
L(x,y \ ((z * u) * a(w,z,z * u)),v5) = L(x,y \ L(z * u,z,w \ z),v5).
L(x,y \ (z * a(u,w,z)),v5) != v6 | L(x,y \ L(z,u,w),v5) = v6.
L(x,y \ L(z * u,w,z),v5) = L(x,y \ L(z * u,z,w \ z),v5).
L(x,y \ L(z * u,z,w \ z),v5) = L(x,y \ L(z * u,w,z),v5).
L(x,y \ L(z * (u \ w),z,u \ z),v5) != v6 | L(x,y \ (w * (u \ z)),v5) = v6.
L(x,y \ (z * (u \ w)),v5) = L(x,y \ L(w * (u \ z),u,w),v5).
L(x,y \ L(z * (u \ w),u,z),v5) = L(x,y \ (w * (u \ z)),v5).
L(x,y \ (z * (u \ w)),u) = L(x,y \ (w * (u \ z)),u).
a(x,y,L(L(z,u \ (w * (v5 \ v6)),v5),v7,v8)) = a(x,y,L(L(z,v7,v8),v5,u * (v6 \ (w \ v5)))).
x != a(y,z,L(u,w,v5 * (v6 \ (v7 \ w)))) | a(y,z,L(u,w,(v7 * v6) \ v5)) = x.
a(x,y,L(L(z,u,w),v5,(v6 * v7) \ v8)) = a(x,y,L(L(z,v8 \ (v6 * (v5 \ v7)),v5),u,w)).
a(x,y,L(L(z,u \ (w * (v5 \ v6)),v5),v7,v8)) = a(x,y,L(L(z,v7,v8),v5,(w * v6) \ u)).
a(x,y,L(L(L(z,u,w),w,u),v5,v6)) != v7 | a(x,y,L(z,v5,v6)) = v7.
a(x,y,L(z,u,w)) = a(x,y,L(L(L(z,v5,v6 \ (v7 * (v5 \ v8))),u,w),v5,(v7 * v8) \ v6)).
a(x,y,L(L(L(z,u,w \ (v5 * (u \ v6))),v7,v8),u,(v5 * v6) \ w)) = a(x,y,L(z,v7,v8)).
a(x * (y * (z \ (u * (w * (v5 \ v6))))),v7,v8) = a(x * (y * (z \ (u * ((v6 \ v5) \ w)))),v7,v8).
a(x * (y * (z \ (u * ((w \ v5) \ v6)))),v7,v8) = a(x * (y * (z \ (u * (v6 * (v5 \ w))))),v7,v8).
a(x * (y * (z \ (u * ((w \ v5) \ 1)))),v6,v7) = a(x * (y * (z \ (u * (v5 \ w)))),v6,v7).
a(x * (y * (z \ (u * ((w \ 1) \ v5)))),v6,v7) = a(x * (y * (z \ (u * (v5 * w)))),v6,v7).
a(x * (y * (z \ (u * (w \ 1)))),v5,v6) != v7 | a(x * (y * (z \ (w \ u))),v5,v6) = v7.
a(x * (y * (z \ ((u \ w) \ v5))),v6,v7) = a(x * (y * (z \ (v5 * (w \ u)))),v6,v7).
a(x \ (y * (z \ ((u \ w) \ v5))),v6,v7) = a((x \ 1) * (y * (z \ (v5 * (w \ u)))),v6,v7).
a((x \ 1) * (y * (z \ (u * (w \ v5)))),v6,v7) = a(x \ (y * (z \ ((v5 \ w) \ u))),v6,v7).
a(x * (y * (z * ((u \ 1) \ (z \ w)))),v5,v6) = a(x * (y * (z \ (w * (z * u)))),v5,v6).
a(x \ (y * (z \ (u * (w \ v5)))),v6,v7) = a(x \ (y * (z \ ((v5 \ w) \ u))),v6,v7).
a(x \ (y * (z \ ((u \ w) \ v5))),v6,v7) = a(x \ (y * (z \ (v5 * (w \ u)))),v6,v7).
a(x \ (y * (z \ ((u \ 1) \ w))),v5,v6) != v7 | a(v6,v5,x * (y \ ((z \ 1) \ (u \ (w \ 1))))) = v7.
a(x,y,z * (u \ ((w \ 1) \ (v5 \ (v6 \ 1))))) = a(z \ (u * (w \ (v6 * (1 \ v5)))),y,x).
a(x * (y * (z * ((u \ w) \ v5))),v6,v7) != v8 | a(x * (y * (z * (v5 * (w \ u)))),v6,v7) = v8.
a(x * (y * (z * ((z \ u) * (1 \ w)))),v5,v6) = a(x * (y * (z \ (u * (z * w)))),v5,v6).
a(x,y,z * (u \ ((w \ 1) \ (v5 \ (v6 \ 1))))) = a(z \ (u * (w \ (v6 * v5))),y,x).
a(x,y,z * (u \ ((w \ 1) \ (v5 \ (v6 \ 1))))) = a(z \ (u * (w \ (v5 * v6))),y,x).
a(x,y,z * (u \ ((w \ 1) \ v5))) != v6 | a(x,y,z * (u \ (w * v5))) = v6.
a(x,y,z * (u \ (w * (v5 \ (v6 \ 1))))) = a(z \ (u * (w \ (v5 * v6))),y,x).
a(x,y,z * ((u \ 1) \ (w * (v5 \ (v6 \ 1))))) != v7 | a(x,y,z * (u * (w * (v6 \ (v5 \ 1))))) = v7.
a(x,y,z * (u * (w * (v5 \ (v6 \ 1))))) = a(z \ ((u \ 1) * (w \ (v6 * v5))),y,x).
a(x \ ((y \ 1) * (z \ (u * w))),v5,v6) = a(v6,v5,x * (y * (z * (w \ (u \ 1))))).
a(x \ ((y \ 1) * (z \ u)),w,v5) != v6 | a(v5,w,x * (y * (u \ z))) = v6.
a(x,y,z * (u * ((w * v5) \ v6))) = a(x,y,z * (u * (v6 * (v5 \ (w \ 1))))).
a(x,y,z * (u * (w * (v5 \ (v6 \ 1))))) = a(x,y,z * (u * ((v6 * v5) \ w))).
a(x,y,z * (u * (w * (v5 \ (v6 \ 1))))) != v7 | a(x,y,z * (u * ((v6 \ (v5 \ 1)) * w))) = v7.
a(x,y,z * (u * ((w \ (v5 \ 1)) * v6))) = a(x,y,z * (u * ((w * v5) \ v6))).
a(x,y,z * (u * (w * (v5 \ 1)))) != v6 | a(x,y,z * (u * (v5 \ w))) = v6.
a(x,y,z * (u * (w \ (v5 \ (v6 \ 1))))) = a(x,y,z * (u * ((v5 * v6) \ (w \ 1)))).
a(x,y,z * (u * ((w * v5) \ (v6 \ 1)))) = a(x,y,z * (u * (v6 \ (w \ (v5 \ 1))))).
a(x,y,z * (u * (w \ (v5 \ 1)))) != v6 | a(z \ (u \ (v5 * w)),y,x) = v6.
a(x \ (y \ (z * (u * w))),v5,v6) = a(v6,v5,x * (y * (z \ (u \ (w \ 1))))).
a(x,y,z * (u * (w \ (v5 \ (v6 \ 1))))) = a(z \ (u \ (w * (v5 * v6))),y,x).
a(x,y,(z * (u \ (w \ (v5 \ 1)))) * v6) = a(v6 \ (z \ (u * (w * v5))),y,x).
a(x,y,z * (u * (w \ (v5 \ (w \ 1))))) != v6 | a(x,y,z * (u * (1 \ (v5 \ (w \ (w \ 1)))))) = v6.
a(x,y,z * (u * (1 \ (w \ (v5 \ (v5 \ 1)))))) = a(z \ (u \ (v5 * (w * v5))),y,x).
a(x,y,(z * (u \ ((w \ u) \ (u \ 1)))) * ((z \ v5) * (u * (u * (w \ u))))) != v6 | a(x,y,L(v5,z,u \ ((w \ u) \ (u \ 1)))) = v6.
a(x,y,L(z,u,w \ ((v5 \ w) \ (w \ 1)))) = a(((u \ z) * (w * (w * (v5 \ w)))) \ (u \ (w * ((v5 \ w) * w))),y,x).
a(((x \ y) * (z * (z * (u \ z)))) \ (x \ (z * ((u \ z) * z))),w,v5) = a(v5,w,L(y,x,z \ ((u \ z) \ (z \ 1)))).
a(x,y,z * (u * (1 \ (w \ (v5 \ (v5 \ 1)))))) = a(z \ (u \ (v5 * (v5 * w))),y,x).
a(x,y,z * (u * (w \ (v5 \ (v5 \ 1))))) = a(z \ (u \ (v5 * (v5 * w))),y,x).
a(x,y,z * (u * (w \ (v5 \ (v5 \ 1))))) != v6 | a(z \ (v5 * (w * (u \ v5))),y,x) = v6.
a(x \ (y * (z * (u \ y))),w,v5) = a(x \ (u \ (y * (y * z))),w,v5).
a(x \ (y \ (z * (z * u))),w,v5) = a(x \ (z * (u * (y \ z))),w,v5).
a(x * (y * (z * ((z \ u) * w))),v5,v6) = a(x * (y * (z \ (u * (z * w)))),v5,v6).
a(x * (y * (z \ (u * (z * w)))),v5,v6) = a(x * (y * (z * ((z \ u) * w))),v5,v6).
a(x * (y * (z \ (u * (z * w)))),v5,v6) = a(x * (y * (z * (w * (z \ u)))),v5,v6).
a(x * (y \ (z \ (u * (z * w)))),v5,v6) = a(x * ((y \ 1) * (z * (w * (z \ u)))),v5,v6).
a(x * ((y \ 1) * (z * (u * (z \ w)))),v5,v6) = a(x * (y \ (z \ (w * (z * u)))),v5,v6).
a(x * (y \ (z \ (u * (z * w)))),v5,v6) != v7 | a(x * (y \ (z * (w * (z \ u)))),v5,v6) = v7.
a(((x \ y) * (z * (z * (u \ z)))) \ (x \ (z * (z * (u \ z)))),w,v5) = a(v5,w,L(y,x,z \ ((u \ z) \ (z \ 1)))).
a(x \ (y \ (z * (z * u))),w,v5) != v6 | a(x \ (z * (u * (y \ z))),w,v5) = v6.
a(((x \ y) * (z * (z * (u \ z)))) \ (z * ((u \ z) * (x \ z))),w,v5) = a(v5,w,L(y,x,z \ ((u \ z) \ (z \ 1)))).
a(((x \ y) * (z * (z * (u \ z)))) \ (z * (z * ((x * u) \ z))),w,v5) = a(v5,w,L(y,x,z \ ((u \ z) \ (z \ 1)))).
a(x \ (y * (y * z)),u,w) != v5 | a(y * (z * (x \ y)),u,w) = v5.
a(x * (((y * z) \ x) * (((y \ u) * (x * (x * (z \ x)))) \ x)),w,v5) = a(v5,w,L(u,y,x \ ((z \ x) \ (x \ 1)))).
a(x * (x * (((y * z) * ((y \ u) * (x * (x * (z \ x))))) \ x)),w,v5) = a(v5,w,L(u,y,x \ ((z \ x) \ (x \ 1)))).
a(x * (x * ((x * (y * z)) \ ((x * (z \ x)) \ ((y \ u) \ x)))),w,v5) = a(v5,w,L(u,y,x \ ((z \ x) \ (x \ 1)))).
a(x * (x * ((x * y) \ z)),u,w) != v5 | a(w,u,(x * z) \ y) = v5.
a(x,y,(z * ((z * (u \ z)) \ ((w \ v5) \ z))) \ (w * u)) = a(x,y,L(v5,w,z \ ((u \ z) \ (z \ 1)))).
a(x,y,(z * (u \ w)) \ v5) != v6 | a(x,y,v5 * (z \ (w \ u))) = v6.
a(x,y,(z * u) * (w \ (((z \ v5) \ w) \ (w * (u \ w))))) = a(x,y,L(v5,z,w \ ((u \ w) \ (w \ 1)))).
a(x,y,(z * u) * (w \ (((z \ v5) \ u) \ w))) = a(x,y,L(v5,z,w \ ((u \ w) \ (w \ 1)))).
a(x,y,L(z,u,w \ ((v5 \ w) \ (w \ 1)))) = a(x,y,(u * v5) * (w \ (((u \ z) \ v5) \ w))).
x != a(y,z,u * (w \ (v5 \ w))) | a(y,z,v5 \ u) = x.
a(x,y,((z \ u) \ w) \ (z * w)) = a(x,y,L(u,z,v5 \ ((w \ v5) \ (v5 \ 1)))).
a(x,y,L(z,u,w \ ((v5 \ w) \ (w \ 1)))) = a(x,y,((u \ z) \ v5) \ (u * v5)).
a(x,y,(z * u) * (u \ (z \ w))) = a(x,y,L(w,z,v5 \ ((u \ v5) \ (v5 \ 1)))).
a(x,y,L(z,u,w \ ((v5 \ w) \ (w \ 1)))) = a(x,y,(u * v5) * (v5 \ (u \ z))).
x != a(y,z,(u * w) * (w \ v5)) | a(y,z,w * (v5 * (w \ u))) = x.
a(x,y,z * ((u \ w) * (z \ u))) = a(x,y,L(w,u,v5 \ ((z \ v5) \ (v5 \ 1)))).
a(x,y,L(z,u,w \ ((v5 \ w) \ (w \ 1)))) = a(x,y,v5 * ((u \ z) * (v5 \ u))).
x != a(y,z,u * ((w \ v5) * (v6 \ w))) | a(y,z,u * (w * ((w * v6) \ v5))) = x.
a(x,y,z * (u * ((u * z) \ w))) = a(x,y,L(w,u,v5 \ ((z \ v5) \ (v5 \ 1)))).
a(x,y,L(z,u,w \ ((v5 \ w) \ (w \ 1)))) = a(x,y,v5 * (u * ((u * v5) \ z))).
x != a(y,z,u * (w * ((w * u) \ v5))) | a(y,z,L(v5,w,u)) = x.
a(x,y,L(z,u,w)) = a(x,y,L(z,u,v5 \ ((w \ v5) \ (v5 \ 1)))).
a(x,y,L(z,u,w \ ((v5 \ w) \ (w \ 1)))) = a(x,y,L(z,u,v5)).
a(x,y,L(z,u,w \ (v5 \ (v6 \ 1)))) != v7 | a(x,y,L(z,w * (v6 * v5),u)) = v7.
a(x,y,L(z,u * (u * (w \ u)),v5)) = a(x,y,L(z,v5,w)).
a(x,y,L(z,u * u,w)) = a(x,y,L(z,w,u)).
a(x * (y * (z \ (u \ (w * (v5 \ v6))))),v7,v8) = a(x * (y * (z \ (u \ ((v6 \ v5) \ w)))),v7,v8).
a(x * (y * (z \ (u \ ((w \ v5) \ v6)))),v7,v8) = a(x * (y * (z \ (u \ (v6 * (v5 \ w))))),v7,v8).
a(x * (y * (z \ (u \ (w \ v5)))),v6,v7) = a(x * (y * (z \ (u \ (v5 * (w \ 1))))),v6,v7).
a(x * (y * (z \ (u \ (w * (v5 \ 1))))),v6,v7) = a(x * (y * (z \ (u \ (v5 \ w)))),v6,v7).
a(x * (y * (z \ (u \ (w * (v5 \ 1))))),v6,v7) != v8 | a(x * ((z * (u * (v5 * (w \ 1)))) \ y),v6,v7) = v8.
a(x * ((y * (z * (u * (w \ 1)))) \ v5),v6,v7) = a(x * (v5 * (y \ (z \ (u \ w)))),v6,v7).
a((x * (y * (z * (u * (w \ 1))))) \ v5,v6,v7) = a(v5 * ((x \ 1) * (y \ (z \ (u \ w)))),v6,v7).
a(x * (y \ (z \ (u \ (w \ v5)))),v6,v7) = a((y * (z * (u * (w * (v5 \ 1))))) \ x,v6,v7).
a((x * (y * (z * (u * (w \ 1))))) \ v5,v6,v7) = a(v5 * (x \ (y \ (z \ (u \ w)))),v6,v7).
a((x * (y * (z * (u * (w \ 1))))) \ v5,v6,v7) != v8 | a(v5 * ((v9 \ (x \ v9)) * (y \ (z \ (w * (u \ 1))))),v6,v7) = v8.
a(x * ((y \ (z \ y)) * (u \ (w \ (v5 * (v6 \ 1))))),v7,v8) = a(x * (z \ (u \ (w \ (v6 \ v5)))),v7,v8).
a(x * (y \ (z \ (u \ (w * (v5 \ 1))))),v6,v7) = a(x * (y \ (z \ (u \ (v5 \ w)))),v6,v7).
a(x * (y \ (z \ ((u \ 1) \ (w * (v5 \ 1))))),v6,v7) != v8 | a(x * (y \ (z \ (1 \ ((v5 * (w \ 1)) \ u)))),v6,v7) = v8.
a(x * (y \ (z \ (1 \ ((u * (w \ 1)) \ v5)))),v6,v7) = a(x * (y \ (z \ ((v5 \ 1) \ (u \ w)))),v6,v7).
x != a(y * (z \ (u \ ((w \ v5) \ v6))),v7,v8) | a(y * (z \ (u \ (v6 * (v5 \ w)))),v7,v8) = x.
a(x * (y \ (z \ ((u \ w) * (1 \ v5)))),v6,v7) = a(x * (y \ (z \ (1 \ ((u * (w \ 1)) \ v5)))),v6,v7).
a(x * (y \ (z \ (1 \ ((u * (w \ 1)) \ v5)))),v6,v7) = a(x * (y \ (z \ ((u \ w) * (1 \ v5)))),v6,v7).
a(x * (y \ (z \ (1 \ ((u * (w \ 1)) \ v5)))),v6,v7) = a(x * (y \ (z \ ((u \ w) * v5))),v6,v7).
a(x * (y \ (z \ (1 \ ((u * (w \ 1)) \ v5)))),v6,v7) = a(x * (y \ (z \ (v5 * (u \ w)))),v6,v7).
a(x * (y \ (z \ ((u * (w \ 1)) \ v5))),v6,v7) = a(x * (y \ (z \ (v5 * (u \ w)))),v6,v7).
a(x * (y \ ((z \ 1) \ u)),w,v5) != v6 | a((y * ((z * u) \ 1)) \ x,w,v5) = v6.
a((x * ((y * ((z * (u \ 1)) \ w)) \ 1)) \ v5,v6,v7) = a(v5 * (x \ ((y \ 1) \ (w * (z \ u)))),v6,v7).
x != a(y * (z \ ((u \ w) \ v5)),v6,v7) | a(y * (z \ (v5 * (w \ u))),v6,v7) = x.
a(x * (y \ ((z * (u \ w)) * (1 \ v5))),v6,v7) = a((y * ((v5 * ((u * (w \ 1)) \ z)) \ 1)) \ x,v6,v7).
a((x * ((y * ((z * (u \ 1)) \ w)) \ 1)) \ v5,v6,v7) = a(v5 * (x \ ((w * (z \ u)) * (1 \ y))),v6,v7).
a((x * ((y * ((z * (u \ 1)) \ w)) \ 1)) \ v5,v6,v7) = a(v5 * (x \ ((w * (z \ u)) * y)),v6,v7).
a((x * ((y * ((z * (u \ 1)) \ w)) \ 1)) \ v5,v6,v7) = a(v5 * (x \ (y * (w * (z \ u)))),v6,v7).
a(x * (y \ (1 \ (z * ((u * (w \ 1)) \ v5)))),v6,v7) = a(x * (y \ (z * (v5 * (u \ w)))),v6,v7).
a(x * (y \ (z * ((u * (w \ 1)) \ v5))),v6,v7) = a(x * (y \ (z * (v5 * (u \ w)))),v6,v7).
a(x * (y \ (z * ((z * (u \ 1)) \ w))),v5,v6) != v7 | a(x * (y \ ((z \ w) * (z * u))),v5,v6) = v7.
a(x * (y \ ((z \ u) * (z * w))),v5,v6) = a(x * (y \ (z * (u * (z \ w)))),v5,v6).
a(x * (y \ (z * ((u \ 1) * (w \ u)))),v5,v6) != v7 | a(x * (y \ (w \ z)),v5,v6) = v7.
a(x * (y \ (z \ ((u \ 1) \ w))),v5,v6) = a(x * (y \ ((u \ 1) * (w * ((u \ 1) \ (z \ u))))),v5,v6).
a(x * (y \ ((z \ 1) * (u * ((z \ 1) \ (w \ z))))),v5,v6) = a(x * (y \ (w \ ((z \ 1) \ u))),v5,v6).
a(x * (y \ ((z \ 1) * u)),w,v5) != v6 | a(x * (y \ (z \ u)),w,v5) = v6.
a(x * (y \ (z \ (u * ((z \ 1) \ (w \ z))))),v5,v6) = a(x * (y \ (w \ ((z \ 1) \ u))),v5,v6).
a(x * (y \ (z \ (u * (1 \ w)))),v5,v6) = a(x * (y \ (w \ (u * ((w \ 1) \ (z \ w))))),v5,v6).
a(x * (y \ (z \ (u * ((z \ 1) \ (w \ z))))),v5,v6) = a(x * (y \ (w \ (u * (1 \ z)))),v5,v6).
a(x * (y \ (z \ (u * ((z \ 1) \ (w \ z))))),v5,v6) = a(x * (y \ (w \ (u * z))),v5,v6).
a(x * (y \ (z \ (u * ((z \ 1) \ (w \ z))))),v5,v6) = a(x * (y \ (w \ (z * u))),v5,v6).
a(x * (y \ z),u,w) != v5 | a(x * ((y \ 1) * z),u,w) = v5.
a(x * ((y \ 1) * (z \ (u * ((z \ 1) \ (w \ z))))),v5,v6) = a(x * (y \ (w \ (z * u))),v5,v6).
a(x * (y * (z \ (u * ((w \ 1) \ v5)))),v6,v7) != v8 | a(x * (y * (z \ (u * (v5 * w)))),v6,v7) = v8.
a(x * ((y \ 1) * (z \ (u * ((w \ z) * z)))),v5,v6) = a(x * (y \ (w \ (z * u))),v5,v6).
a(x * ((y \ 1) * (z \ (u * (z * (w \ z))))),v5,v6) = a(x * (y \ (w \ (z * u))),v5,v6).
a(x * (y \ (z \ (u * (z * (w \ z))))),v5,v6) = a(x * (y \ (w \ (z * u))),v5,v6).
a(x * (y \ (z * ((u \ z) * (z \ w)))),v5,v6) = a(x * (y \ (u \ (z * w))),v5,v6).
a(x * (y \ (z * ((u \ w) * (w \ v5)))),v6,v7) != v8 | a(x * (y \ (z * (w * ((w * u) \ v5)))),v6,v7) = v8.
a(x * (y \ (z * (z * ((z * u) \ w)))),v5,v6) = a(x * (y \ (u \ (z * w))),v5,v6).
a(x * (y \ (z * (z * u))),w,v5) != v6 | a(x * (z * (u * (y \ z))),w,v5) = v6.
a(x * (y * (((y * z) \ u) * (w \ y))),v5,v6) = a(x * (w \ (z \ (y * u))),v5,v6).
a(x * (y * (((y * z) \ u) * (y \ (w \ y)))),v5,v6) = a(x * ((w * y) \ (z \ (y * u))),v5,v6).
a(x * (y * (z * (u \ (w \ u)))),v5,v6) != v7 | a(x * (y * (w \ z)),v5,v6) = v7.
a(x * (y * (z \ ((y * u) \ w))),v5,v6) = a(x * ((z * y) \ (u \ (y * w))),v5,v6).
a(x * ((y * z) \ (u \ (z * w))),v5,v6) = a(x * (z * (y \ ((z * u) \ w))),v5,v6).
a(x * ((y * z) \ (u \ (y * w))),v5,v6) = a(x * (y * (z \ ((y * u) \ w))),v5,v6).
a(x * ((y * z) \ (x \ (y * (z * u)))),w,v5) != v6 | a(L(L(u,z,y),y * z,x),w,v5) = v6.
a(L(L(x,y,z),z * y,u),w,v5) = a(u * (z * (y \ ((z * u) \ (y * x)))),w,v5).
a(x * (y * (z \ ((y * x) \ (z * u)))),w,v5) = a(L(L(u,z,y),y * z,x),w,v5).
a(x * (y * (z \ ((x * y) \ (z * u)))),w,v5) = a(L(L(u,z,y),y * z,x),w,v5).
a(x * (y * (z * ((z * (x * y)) \ u))),w,v5) = a(L(L(u,z,y),y * z,x),w,v5).
L(x * L(L(y,z,z) \ 1,z,x \ (z \ 1)),L(L(y,z,z),z,x \ (z \ 1)),L(L(y,z,z),z,x \ (z \ 1))) = (z \ 1) * ((z \ y) \ x).
L(x * L(L(y \ 1,z,z),z,x \ (z \ 1)),L(L(y,z,z),z,x \ (z \ 1)),L(L(y,z,z),z,x \ (z \ 1))) = (z \ 1) * ((z \ y) \ x).
L((x \ (y \ 1)) * ((x \ 1) \ z),L(L(y,x,x),x,z \ (x \ 1)),L(L(y,x,x),x,z \ (x \ 1))) = (x \ 1) * ((x \ y) \ z).
L(x,L(y,z,u),L(y,w,v5)) != v6 | L(x,L(y,v7,v8),L(y,v9,v10)) = v6.
L((x \ (y \ 1)) * ((x \ 1) \ z),L(L(y,x,x),u,w),L(L(y,x,x),v5,v6)) = (x \ 1) * ((x \ y) \ z).
L(x,y,L(L(z,u,u),w,v5)) != v6 | L(x,y,L(z,w,v5)) = v6.
L((x \ (y \ 1)) * ((x \ 1) \ z),L(L(y,x,x),u,w),L(y,v5,v6)) = (x \ 1) * ((x \ y) \ z).
L((x \ (y \ 1)) * ((x \ 1) \ z),y,L(y,u,w)) = (x \ 1) * ((x \ y) \ z).
L((x \ (y \ 1)) * ((x \ 1) \ z),y,y) = (x \ 1) * ((x \ y) \ z).
L((x \ (y \ 1)) * ((x \ 1) \ z),y,y) != u | y \ L(L(z,x,x \ (y \ 1)),x,x) = u.
x \ L(L(y,z,z \ (x \ 1)),z,z) = (z \ 1) * ((z \ x) \ y).
x \ ((y * a(L(z,u \ 1,(u \ 1) \ (x \ 1)),u \ 1,u)) \ (y * L(z,u \ 1,(u \ 1) \ (x \ 1)))) = ((u \ 1) \ 1) * (((u \ 1) \ x) \ z).
x \ ((y * a(L(z,u \ 1,x \ u),u \ 1,u)) \ (y * L(z,u \ 1,(u \ 1) \ (x \ 1)))) = ((u \ 1) \ 1) * (((u \ 1) \ x) \ z).
x \ ((y * a(L(z,u,u \ x),u \ 1,u)) \ (y * L(z,u \ 1,(u \ 1) \ (x \ 1)))) = ((u \ 1) \ 1) * (((u \ 1) \ x) \ z).
x \ ((y * a(z,z,L(u,z,z \ x))) \ (y * L(u,z \ 1,(z \ 1) \ (x \ 1)))) = ((z \ 1) \ 1) * (((z \ 1) \ x) \ u).
x \ ((y * a(z,z,u)) \ (y * L(u,z \ 1,(z \ 1) \ (x \ 1)))) = ((z \ 1) \ 1) * (((z \ 1) \ x) \ u).
x \ ((y * a(z,z,u)) \ (y * L(u,z \ 1,x \ z))) = ((z \ 1) \ 1) * (((z \ 1) \ x) \ u).
x \ ((y * a(z,z,u)) \ (y * L(u,z,z \ x))) = ((z \ 1) \ 1) * (((z \ 1) \ x) \ u).
x \ (a(y,z,z) * (u \ (u * L(y,z,z \ x)))) = ((z \ 1) \ 1) * (((z \ 1) \ x) \ y).
x \ (a(y,z,z) * L(y,z,z \ x)) = ((z \ 1) \ 1) * (((z \ 1) \ x) \ y).
x \ L(L(y,z,z),z,z \ x) = ((z \ 1) \ 1) * (((z \ 1) \ x) \ y).
x \ L(L(y,z,z),z,z \ x) = z * (((z \ 1) \ x) \ y).
a(x * (y * (z * (((z \ 1) \ (x * y)) \ u))),w,v5) = a(L(L(u,z,z),z,z \ (x * y)),w,L(v5,y,x)).
a(L(L(x,y,y),y,y \ (z * u)),w,L(v5,u,z)) = a(z * (u * (y * (((y \ 1) \ (z * u)) \ x))),w,v5).
x != a(y * (z * (u * ((w \ v5) \ v6))),v7,v8) | a(y * (z * (u * (v6 * (v5 \ w)))),v7,v8) = x.
a(x * (y * (z * (u * ((x * y) \ (z \ 1))))),w,v5) = a(L(L(u,z,z),z,z \ (x * y)),w,L(v5,y,x)).
a(L(L(x,y,y),y,y \ (z * u)),w,L(v5,u,z)) = a(z * (u * (y * (x * ((z * u) \ (y \ 1))))),w,v5).
x != a(y * (z * (u * (w * (v5 \ (v6 \ 1))))),v7,v8) | a(y * (z * (u * ((v5 * v6) \ w))),v7,v8) = x.
a(x * (y * (z * (((x * y) * z) \ u))),w,v5) = a(L(L(u,z,z),z,z \ (x * y)),w,L(v5,y,x)).
a(L(L(x,y,y),y,y \ (z * u)),w,L(v5,u,z)) = a(z * (u * (y * (((z * u) * y) \ x))),w,v5).
a(L(L(x,y,y),y,y \ (z * u)),w,L(v5,u,z)) = a(z * (u * (y * ((y * (z * u)) \ x))),w,v5).
a(L(L(x,y,y),y,z * (y \ u)),w,L(v5,u,z)) = a(z * (u * (y * ((y * (z * u)) \ x))),w,v5).
a(L(x,y,y),z,L(L(u,w,v5),y,v5 * (y \ w))) = a(v5 * (w * (y * ((y * (v5 * w)) \ x))),z,u).
a(x,y,L(z,u,w * (u \ v5))) != v6 | a(x,y,L(z,u,w * v5)) = v6.
a(L(x,y,y),z,L(L(u,w,v5),y,v5 * w)) = a(v5 * (w * (y * ((y * (v5 * w)) \ x))),z,u).
a(x,y,L(L(L(z,u,w),v5,w * u),v5,v5)) = a(w * (u * (v5 * ((v5 * (w * u)) \ x))),y,z).
a(x * (y * (z * ((z * (x * y)) \ u))),w,v5) = a(u,w,L(L(L(v5,y,x),z,x * y),z,z)).
x != a(y,z,L(u,w,w)) | a(y,z,u) = x.
a(x,y,L(L(z,u,w),v5,w * u)) = a(w * (u * (v5 * ((v5 * (w * u)) \ x))),y,z).
a(x * (y * (z * ((z * (x * y)) \ u))),w,v5) = a(u,w,L(L(v5,y,x),z,x * y)).
a(x * (y * (z * ((z * (x * y)) \ u))),w,v5) != v6 | a(L(L(u,z,y),y * z,x),w,v5) = v6.
a(L(L(x,y,z),z * y,u),w,v5) = a(x,w,L(L(v5,z,u),y,u * z)).
a(L(x,y,z),u,L(w,z * y,v5)) = a(x,u,L(L(w,z,v5),y,v5 * z)).
a(x,y,L(L(z,u * w,v5),w,u)) = a(x,y,L(L(z,u,v5),w,v5 * u)).
x != a(y,z,L(L(L(u,w,v5),v5,w),v6,v7)) | a(y,z,L(u,v6,v7)) = x.
a(x,y,L(z,u,w * v5)) = a(x,y,L(L(L(z,w,v5),v5 * u,w),u,v5)).
a(x,y,L(L(L(z,u,w),w * v5,u),v5,w)) = a(x,y,L(z,v5,u * w)).
a(x,y,L(L(z,u * w,v5),w,u)) = a(x,y,L(L(z,u,v5),w,u * v5)).
a(x,y,L(L(z,u * (w * (v5 \ (u \ v5))),v6),v5 \ (u \ v5),u * w)) = a(x,y,L(L(z,u * w,v6),v5 \ (u \ v5),v6 * (u * w))).
a(x,y,L(L(z,u,u * w),v5,v6)) != v7 | a(x,y,L(L(z,v5,v6),u,w)) = v7.
a(x,y,L(L(L(z,(u * w) * v5,u),w,u),u * w,v5)) = a(x,y,L(z,w,((u * w) * v5) * u)).
a(x,y,L(L(L(z,u * u,w \ 1),w * v5,v6 \ (u \ (u \ v6))),v5,w)) = a(x,y,L(z,v5,(v6 \ (u \ (u \ v6))) * w)).
a(x,y,L(z,u * u,w)) = a(x,y,L(L(z,u,w),u,u * w)).
a(x,y,L(L(z,u,w),u,u * w)) = a(x,y,L(z,u * u,w)).
a(x,y,L(L(z \ a(z,u,w),u * v5,w),v5,u)) = a(x,y,L(z \ 1,v5,u * w)).
a(x,y,L(z,u,u * w)) != v5 | a(x,y,L(z,u,w)) = v5.
a(x,y,L(L(z,u,w),u,w)) = a(x,y,L(z,u * u,w)).
a(x,y,L(z,u,w * w)) = a(x,y,L(z,u * u,w)).
a(x,y,L(z,u * u,w)) = a(x,y,L(z,u,w * w)).
a(x,y,L(z,u * u,w)) != v5 | a(x,y,L(z,w,u)) = v5.
a(x,y,L(z,u,w)) = a(x,y,L(z,w,u * u)).
a(x,y,L(z,u,w * w)) = a(x,y,L(z,w,u)).
a(x,y,L(L(z \ a(z,u,w),v5,v6),v7,v8)) != v9 | a(z,y,L(L(L(x,v7,v8),v5,v6),w,u)) = v9.
a(x,y,L(L(L(z,u,w),w * u,v5),v5,w)) = a(z,y,L(x \ 1,u,w * v5)).
a(x,y,L(L(L(z,u,w),w * u,v5),v5,w)) != v6 | a(x,y,L(z,u,w * v5)) = v6.
a(x,y,L(L(L(z,u * (w * v5),w),v5,w),w * v5,u)) = a(x,y,L(z,v5,((w * v5) * u) * w)).
a(x,y,L(L(L(z,u,w),w * u,v5),v5 * (w * u),w)) = a(x,y,L(z,u,((w * u) * v5) * w)).
a(x,y,L(z,u * (w * v5),w)) != v6 | a(x,y,L(z,u * v5,w)) = v6.
a(x,y,L(L(L(z,u,w),w * u,v5),v5 * u,w)) = a(x,y,L(z,u,((w * u) * v5) * w)).
a(x,y,L(L(L(z,u,w),w * u,v5),u * v5,w)) = a(x,y,L(z,u,((w * u) * v5) * w)).
a(x,y,L(L(L(z,u * u,w \ 1),w * v5,u \ (u \ 1)),v5,w)) = a(x,y,L(z,v5,(v6 \ (u \ (u \ v6))) * w)).
a(x,y,L(L(z,u,w \ (v5 \ 1)),v6,v7)) != v8 | a(x,y,L(L(z,v6,v7),w * v5,u)) = v8.
a(x,y,L(L(L(z,u * u,w \ 1),v5,w),u * u,w * v5)) = a(x,y,L(z,v5,(v6 \ (u \ (u \ v6))) * w)).
a(x,y,L(L(L(z,u * u,w \ 1),v5,w),w * v5,u)) = a(x,y,L(z,v5,(v6 \ (u \ (u \ v6))) * w)).
a(x,y,L(L(L(z,u,w \ 1),v5,v6),v7,v8)) != v9 | a(x,y,L(L(L(z,v5,v6),v7,v8),w,u)) = v9.
a(x,y,L(L(L(z,u,w),w * u,v5),w,v5 * v5)) = a(x,y,L(z,u,(v6 \ (v5 \ (v5 \ v6))) * w)).
a(x,y,L(z,u,w * w)) != v5 | a(x,y,L(z,w,u)) = v5.
a(x,y,L(L(L(z,u,w),w * u,v5),v5,w)) = a(x,y,L(z,u,(v6 \ (v5 \ (v5 \ v6))) * w)).
a(x,y,L(z,u,w * v5)) = a(x,y,L(z,u,(v6 \ (v5 \ (v5 \ v6))) * w)).
a(x,y,L(z,u,(w \ (v5 \ (v5 \ w))) * v6)) = a(x,y,L(z,u,v6 * v5)).
a(x,y,L(z,u,(w \ (v5 \ (v5 \ w))) * v6)) = a(x,y,L(z,u,v5 * v6)).
a(x,y,L(z,u,w \ (w \ v5))) = a(x,y,L(z,u,w * v5)).
a(x,y,L(z,u,w \ v5)) = a(x,y,L(z,u,w * (w * v5))).
a(x,y,L(z,u,w * (w * v5))) = a(x,y,L(z,u,w \ v5)).
a(x,y,L(L(z,u * (u \ w),v5),v6 \ (u \ v6),u * w)) = a(x,y,L(L(z,u * w,v5),v6 \ (u \ v6),v5 * (u * w))).
a(x,y,L(L(z,u,w),v5 \ (v6 \ v5),v6 * u)) = a(x,y,L(L(z,v6 * u,w),v5 \ (v6 \ v5),w * (v6 * u))).
a(x,y,L(L(z,u * w,v5),v6 \ (u \ v6),v5 * (u * w))) = a(x,y,L(L(z,w,v5),v6 \ (u \ v6),u * w)).
a(x,y,L(L(z,u * w,v5),v6 \ (u \ v6),v5 * (u * w))) = a(x,y,L(L(z,w,v5),u,(u * w) \ 1)).
a(x,y,L(L(z,u * w,v5),v6 \ (u \ v6),v5 * (u * w))) = a(x,y,L(L(z,w,v5),u,w \ (u \ 1))).
x != a(y,z,L(u,w,v5 \ (w \ 1))) | a(y,z,L(u,v5,w)) = x.
a(x,y,L(L(z,u,w),u,v5)) = a(x,y,L(L(z,v5 * u,w),v6 \ (v5 \ v6),w * (v5 * u))).
a(x,y,L(L(z,u * w,v5),v6 \ (u \ v6),v5 * (u * w))) = a(x,y,L(L(z,w,v5),w,u)).
a(x,y,L(L(z,u * w,v5),u,(v5 * (u * w)) \ 1)) = a(x,y,L(L(z,w,v5),w,u)).
a(x,y,L(L(z,u * w,v5),u,(u * w) \ (v5 \ 1))) = a(x,y,L(L(z,w,v5),w,u)).
a(x,y,L(L(z,u * w,v5),u,w \ (u \ (v5 \ 1)))) = a(x,y,L(L(z,w,v5),w,u)).
a(x,y,L(z,u,w \ (u \ v5))) != v6 | a(x,y,L(z,v5 \ w,u)) = v6.
a(x,y,L(L(z,u * w,v5),(v5 \ 1) \ w,u)) = a(x,y,L(L(z,w,v5),w,u)).
a(x,y,L(L(z,u * w,v5),w * (1 \ v5),u)) = a(x,y,L(L(z,w,v5),w,u)).
a(x,y,L(L(z,u * w,v5),w * v5,u)) = a(x,y,L(L(z,w,v5),w,u)).
a(x,y,L(L(L(z,u,w),w * u,v5),u * v5,w)) != v6 | a(x,y,L(z,u,((w * u) * v5) * w)) = v6.
a(x,y,L(z,u,((w * u) * v5) * w)) = a(x,y,L(L(L(z,u,w),u,v5),u,w)).
a(x,y,L(L(L(z,u,w),u,v5),u,w)) = a(x,y,L(z,u,((w * u) * v5) * w)).
a(x,y,L(L(z,u,w),u,v5 * v5)) = a(x,y,L(z,u,((v5 * u) * w) * v5)).
a(x,y,L(z,u,((w * u) * v5) * w)) = a(x,y,L(L(z,u,v5),u,w * w)).
x != a(y,z,L(u,w,v5 * v5)) | a(y,z,L(u,v5,w)) = x.
a(x,y,L(L(z,u,w),v5,u)) = a(x,y,L(z,u,((v5 * u) * w) * v5)).
a(x,y,L(z,u,((w * u) * v5) * w)) = a(x,y,L(L(z,u,v5),w,u)).
a(x,y,L(z,u,w * (v5 * (w * u)))) = a(x,y,L(L(z,u,v5),w,u)).
a(x,y,L(z,u,w * (v5 * (v6 * u)))) != v7 | a(x,y,L(z,u,w * (v5 * v6))) = v7.
a(x,y,L(z,u,w * (v5 * w))) = a(x,y,L(L(z,u,v5),w,u)).
a(x,y,L(L(z,u,w),v5,u)) = a(x,y,L(z,u,v5 * (w * v5))).
a(x,y,L(z,u \ 1,w)) != v5 | a(x,y,L(z,w,u)) = v5.
a(x,y,L(L(z,u,w),u,v5)) = a(x,y,L(z,u,(v5 \ 1) * (w * (v5 \ 1)))).
a(x,y,L(L(z,u,w),v5,u)) = a(x,y,L(z,u,v5 * (v5 * w))).
x != a(y,z,L(u,w,v5 * (v5 * v6))) | a(y,z,L(u,w,v5 \ v6)) = x.
a(x,y,L(z,u,w \ v5)) = a(x,y,L(L(z,u,v5),w,u)).
a(x,y,L(L(z,u,w),v5,u)) = a(x,y,L(z,u,v5 \ w)).
a(x,y,L(L(L(z,u,w),v5,v6),v7,u)) = a(x,y,L(L(z,v5,v6),u,v7 \ w)).
a(x,y,L(L(z,u,w),u,v5)) = a(x,y,L(z,u,(v5 \ 1) * (v5 \ w))).
a(x,y,L(L(z,u,w),u,v5)) = a(x,y,L(z,u,v5 \ (v5 \ w))).
x != a(y,z,L(u,w,v5 \ (v5 \ v6))) | a(y,z,L(u,w,v5 * v6)) = x.
a(x,y,L(z,u,w * v5)) = a(x,y,L(L(z,u,v5),u,w)).
a(x,y,L(L(z,u,w),u,v5)) = a(x,y,L(z,u,v5 * w)).
a(x,y,L(L(L(z,u,w),v5,v6),u,v7)) = a(x,y,L(L(z,v5,v6),u,v7 * w)).
a(x,y,L(L(z,u,w),u,v5)) = a(x,y,L(z,u,w * v5)).
a(x,y,L(L(z,u,w),v5,u)) != v6 | a(x,y,L(z,u,v5 \ w)) = v6.
a(x,y,L(L(z,u,w),u,v5 \ v6)) = a(x,y,L(L(z,u,v6),u,v5 \ w)).
x != a(y,z,L(L(u,w,v5),w,v6)) | a(y,z,L(u,w,v5 * v6)) = x.
a(x,y,L(z,u,w * (v5 \ v6))) = a(x,y,L(L(z,u,v6),u,v5 \ w)).
a(x,y,L(L(z,u,w),u,v5 \ v6)) = a(x,y,L(z,u,v6 * (v5 \ w))).
a(x,y,L(L(z,u,w),u,v5 \ (v6 \ 1))) = a(x,y,L(z,u,v6 \ (v5 \ w))).
a(x,y,L(z,u,w \ (v5 \ 1))) != v6 | a(x,y,L(z,v5 * w,u)) = v6.
a(x,y,L(L(z,u,w),v5 * v6,u)) = a(x,y,L(z,u,v5 \ (v6 \ w))).
a(x,y,L(z,u,(w * v5) \ v6)) = a(x,y,L(z,u,w \ (v5 \ v6))).
a(x,y,L(L(L(z,u,w \ (v5 * (u \ v6))),v7,v8),u,(v5 * v6) \ w)) != v9 | a(x,y,L(z,v7,v8)) = v9.
a(x,y,L(z,u,w)) = a(x,y,L(L(L(z,v5,v6 \ (v7 * (v5 \ v8))),u,w),v5,v7 \ (v8 \ v6))).
a(x,y,L(L(L(z,u,w \ (v5 * (u \ v6))),v7,v8),u,v5 \ (v6 \ w))) = a(x,y,L(z,v7,v8)).
a(x,y,L(L(L(z,u,w),v5,v6),u,v7)) != v8 | a(x,y,L(L(z,v5,v6),u,v7 * w)) = v8.
a(x,y,L(L(z,u,w),v5,(v6 \ (v7 \ v8)) * (v8 \ (v6 * (v5 \ v7))))) = a(x,y,L(z,u,w)).
a(x,y,L(L(z,u,w),v5,v6 * ((v7 \ v8) * ((v8 * v6) \ (v5 \ v7))))) = a(x,y,L(z,u,w)).
a(x,y,L(L(z,u,w),v5,v6 * (v7 * ((v5 * (v7 * (v8 * v6))) \ v8)))) = a(x,y,L(z,u,w)).
a(x,y,L(L(z,u,w),v5,v6 * (v7 * ((v7 * (v8 * v6)) \ (v5 \ v8))))) = a(x,y,L(z,u,w)).
a(x * (y * (L(z \ 1,u,w) * ((v5 * (v6 * L(z \ 1,u,w))) \ L(z \ 1,u,w)))),v7,v8) = a(x * (y * ((v5 * L(z,u,w)) \ (L(z \ 1,u,w) \ (v6 \ L(z \ 1,u,w))))),v7,v8).
a(x * (y * (z * ((u * (w * z)) \ z))),v5,v6) != v7 | a(x * (y * (w \ (u \ z))),v5,v6) = v7.
a(x * (y * (z \ (u \ L(w \ 1,v5,v6)))),v7,v8) = a(x * (y * ((u * L(w,v5,v6)) \ (L(w \ 1,v5,v6) \ (z \ L(w \ 1,v5,v6))))),v7,v8).
a(x * (y * ((z * L(u,w,v5)) \ (L(u \ 1,w,v5) \ (v6 \ L(u \ 1,w,v5))))),v7,v8) = a(x * (y * (v6 \ (z \ L(u \ 1,w,v5)))),v7,v8).
a(x * ((y * (z * L(u,w,v5))) \ v6),v7,v8) = a(x * (v6 * (y \ (z \ L(u \ 1,w,v5)))),v7,v8).
a(x * (y * (z \ (u \ L(w \ 1,v5,v6)))),v7,v8) = a(x * ((z * (u * L(w,v5,v6))) \ y),v7,v8).
a(x * (y * (z \ (u \ (w \ (v5 \ w))))),v6,v7) = a(x * ((z * (u * L(v5,v5,w))) \ y),v6,v7).
a(x * ((y * (z * L(u,u,w))) \ v5),v6,v7) = a(x * (v5 * (y \ (z \ (w \ (u \ w))))),v6,v7).
a(x * ((y * (z * L(u,u,w))) \ v5),v6,v7) != v8 | a(x * ((y * (z * u)) \ v5),v6,v7) = v8.
a(x * ((y * (z * u)) \ w),v5,v6) = a(x * (w * (y \ (z \ (v7 \ (u \ v7))))),v5,v6).
a(x * (y * (z \ (u \ (w \ (v5 \ w))))),v6,v7) = a(x * ((z * (u * v5)) \ y),v6,v7).
a(x * (y * (z \ (u \ (w \ v5)))),v6,v7) = a(x * ((z * (u * (v5 \ w))) \ y),v6,v7).
a(x * ((y * (z * (u \ w))) \ v5),v6,v7) = a(x * (v5 * (y \ (z \ (w \ u)))),v6,v7).
a(x,y,z * ((u * (w * (v5 \ v6))) \ v7)) = a(z * (v7 * (u \ (w \ (v6 \ v5)))),y \ a(v8,v9,x),x).
a(x * (y * (z \ (u \ (w \ v5)))),v6 \ a(v7,v8,v9),v9) = a(v9,v6,x * ((z * (u * (v5 \ w))) \ y)).
a(x,y,z * (u * (w \ (v5 \ (v6 \ v7))))) = a(x,y,z * ((w * (v5 * (v7 \ v6))) \ u)).
a(x,y,z * ((u * (w * (v5 \ v6))) \ v7)) = a(x,y,z * (v7 * (u \ (w \ (v6 \ v5))))).
x \ y != a(z,u,w * ((v5 * (v6 * (v7 \ v8))) \ v9)) | x * a(z,u,w * (v9 * (v5 \ (v6 \ (v8 \ v7))))) = y.
x * a(x,y,z * (u * (w \ (v5 \ (v6 \ v7))))) = L(x,y,z * ((w * (v5 * (v7 \ v6))) \ u)).
L(x,y,z * (u * (w \ (v5 \ (v6 \ v7))))) = L(x,y,z * ((w * (v5 * (v7 \ v6))) \ u)).
L(x,y,z * ((u * (w * (v5 \ v6))) \ v7)) = L(x,y,z * (v7 * (u \ (w \ (v6 \ v5))))).
L(x,y,z * ((u * (w * (v5 \ v6))) \ v7)) != v8 | L(x,y,z * (v7 * (u \ (w \ (v6 \ v5))))) = v8.
L(x,y,z * ((u * (w * v5)) \ v6)) = L(x,y,z * (v6 * (u \ (w \ (v5 \ 1))))).
L(x,y,z * (u * (w \ (v5 \ (v6 \ 1))))) = L(x,y,z * ((w * (v5 * v6)) \ u)).
L(x,y,z * (u * ((w \ v5) \ (v6 \ (w \ 1))))) != v7 | L(x,y,z * (u * (w * (v6 \ (w \ (v5 \ 1)))))) = v7.
L(x,y,z * (u * (w * (v5 \ (w \ (v6 \ 1)))))) = L(x,y,z * (((w \ v6) * (v5 * w)) \ u)).
L(x,y,z * (u * ((w \ (v5 \ (v6 * v6))) \ 1))) = L(x,y,z * (((w \ 1) * ((v5 \ v6) * v6)) \ u)).
L(x,y,z * (((u \ 1) * ((w \ v5) * v5)) \ v6)) = L(x,y,z * (v6 * ((u \ (w \ (v5 * v5))) \ 1))).
x != L(y,z,u * (((w \ v5) * v6) \ v7)) | L(y,z,u * (v7 * (v6 \ (v5 \ w)))) = x.
L(x,y,z * (u * ((w * v5) \ (v6 \ v5)))) = L(x,y,z * (u * (v5 * (w \ (v5 \ (v6 \ 1)))))).
L(x,y,z * (u * (w * (v5 \ (w \ (v6 \ 1)))))) = L(x,y,z * (u * ((v5 * w) \ (v6 \ w)))).
L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) = L(x,y,z * (u * ((v5 * w) \ (v6 \ w)))).
L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) = L(x,y,z * (u * ((w * v5) \ (v6 \ w)))).
L(x,y,z * (u * (w \ (v5 \ (v6 \ w))))) = L(x,y,z * (u * (w * (v6 \ ((w * v5) \ 1))))).
L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) = L(x,y,z * (u * (w \ (v6 \ (v5 \ w))))).
L(x,y,z * (u * (w * (v5 \ ((w * (v6 \ v7)) \ 1))))) != v8 | L(x,y,z * (u * (w * (v5 \ (w \ (v7 \ v6)))))) = v8.
L(x,y,z * (u * (w * (v5 \ (w \ (v6 \ v7)))))) = L(x,y,z * (u * ((w * v5) \ ((v7 \ v6) \ w)))).
L(x,y,z * (u * ((w * v5) \ ((v6 \ v7) \ w)))) = L(x,y,z * (u * (w * (v5 \ (w \ (v7 \ v6)))))).
L(x,y,z * (((u \ 1) * (w * (v5 \ w))) \ v6)) = L(x,y,z * (v6 * ((u \ (v5 \ (w * w))) \ 1))).
L(x,y,z * (u * ((w * v5) \ (w * (v6 \ v7))))) = L(x,y,z * (u * (w * (v5 \ (w \ (v6 \ v7)))))).
L(x,y,z * (u * ((w \ 1) \ (v5 \ (v5 \ v6))))) = L(x,y,z * (u * ((w \ (v6 \ (v5 * v5))) \ 1))).
L(x,y,z * (u * ((w \ (v5 \ (v6 * v6))) \ 1))) = L(x,y,z * (u * ((w \ 1) \ (v6 \ (v6 \ v5))))).
L(x,y,z * (u * ((w * v5) \ (w * ((v5 \ 1) \ v6))))) != v7 | L(x,y,z * (u * L(v6,v5,w))) = v7.
L(x,y,z * (u * L(w,v5,v6))) = L(x,y,z * (u * (v6 * (v5 \ (v6 \ ((v5 \ 1) \ w)))))).
L(x,y,z * (u * (w * (v5 \ (w \ ((v5 \ 1) \ v6)))))) = L(x,y,z * (u * L(v6,v5,w))).
L(x,y,z * (u * (w * (v5 \ (w \ ((v5 \ 1) \ v6)))))) != v7 | L(x,y,z * (u * L(v6,v5,v5 \ w))) = v7.
L(x,y,z * (u * L(w,v5,v5 \ v6))) = L(x,y,z * (u * L(w,v5,v6))).
L(x,y,z * (u * L(w \ v5,w,w \ y))) != v6 | L(x,y,z * ((v5 * (w \ y)) * (y \ u))) = v6.
L(x,y,z * ((u * (w \ y)) * (y \ v5))) = L(x,y,z * (v5 * L(w \ u,w,y))).
x != L(y,z,u * (w * L(v5,v6,z))) | L(y,z,u * (w * v5)) = x.
L(x,y,z * (u * (w \ v5))) = L(x,y,z * ((v5 * (w \ y)) * (y \ u))).
L(x,y,z * ((u * (w \ y)) * (y \ v5))) = L(x,y,z * (v5 * (w \ u))).
L(x,y,z * ((u * (w \ v5)) * (v5 \ v6))) != v7 | L(x,y,z * (v5 * (v6 * (w \ (v5 \ u))))) = v7.
L(x,y,z * (y * (u * (w \ (y \ v5))))) = L(x,y,z * (u * (w \ v5))).
a(x,y,L(z,u,w * (v5 * (v6 \ v7)))) = a(x,y,L(z,u,w * (v5 * (v6 \ (u \ v7))))).
a(x,y,L(z,u,w * (v5 * (v6 \ (u \ v7))))) = a(x,y,L(z,u,w * (v5 * (v6 \ v7)))).
a(x,y,L(L(z,u,w),v5,v6 * (v7 * ((v7 * (v8 * v6)) \ (v5 \ v8))))) != v9 | a(x,y,L(z,u,w)) = v9.
a(x,y,L(z,u,w)) = a(x,y,L(L(z,u,w),v5,v6 * (v7 * ((v7 * (v8 * v6)) \ v8)))).
a(x,y,L(L(z,u,w),v5,v6 * (v7 * ((v7 * (v8 * v6)) \ v8)))) = a(x,y,L(z,u,w)).
x != L(y,z,u * (w * ((v5 \ v6) \ v7))) | L(y,z,u * (w * (v7 * (v6 \ v5)))) = x.
L(x,y,z * (u * ((w \ (w \ v5)) * (1 \ v6)))) = L(x,y,z * (u * ((v6 \ (v5 \ (w * w))) \ 1))).
L(x,y,z * (u * ((w \ (v5 \ (v6 * v6))) \ 1))) = L(x,y,z * (u * ((v6 \ (v6 \ v5)) * (1 \ w)))).
L(x,y,z * (u * ((w \ (v5 \ (v6 * v6))) \ 1))) = L(x,y,z * (u * ((v6 \ (v6 \ v5)) * w))).
L(x,y,z * (u * (w * (v5 \ (v5 \ v6))))) = L(x,y,z * (u * ((w \ (v6 \ (v5 * v5))) \ 1))).
L(x,y,z * (u * ((w \ (v5 \ (v6 * v6))) \ 1))) = L(x,y,z * (u * (w * (v6 \ (v6 \ v5))))).
L(x,y,z * (u * ((w \ (v5 * v5)) \ v6))) = L(x,y,z * (u * (v6 * (v5 \ (v5 \ w))))).
L(x,y,z * (u * (w * ((v5 * v5) \ v6)))) = L(x,y,z * (u * (w * (v5 \ (v5 \ v6))))).
L(x,y,z * (u * (w * ((v5 * v5) \ (v6 \ v5))))) != v7 | L(x,y,z * (u * (((v5 \ 1) \ v6) \ w))) = v7.
L(x,y,z * (u * (((w \ 1) \ v5) \ v6))) = L(x,y,z * (u * (v6 * (w \ (w \ (v5 \ w)))))).
L(x,y,z * (u * (w * (v5 \ (v5 \ (v6 \ v5)))))) = L(x,y,z * (u * (((v5 \ 1) \ v6) \ w))).
L(x,y,z * (u * ((w * v5) \ v6))) = L(x,y,z * (u * (((v5 \ 1) \ w) \ v6))).
L(x,y,z * (u * (((w \ 1) \ v5) \ v6))) = L(x,y,z * (u * ((v5 * w) \ v6))).
L(x,y,z * (u * (((w \ 1) \ v5) \ v6))) = L(x,y,z * (u * ((w * v5) \ v6))).
L(x,y,z * (u * (w * (v5 \ (v6 \ 1))))) = L(x,y,z * (u * ((v6 * v5) \ w))).
L(x,y,z * (u * (w * (v5 \ ((w * v6) \ 1))))) != v7 | L(x,y,z * (u * (w \ (v6 \ (v5 \ w))))) = v7.
L(x,y,z * (u * (w \ (v5 \ (v6 \ w))))) = L(x,y,z * (u * (((w * v5) * v6) \ w))).
L(x,y,z * (u * (((w * v5) * v6) \ w))) = L(x,y,z * (u * (w \ (v5 \ (v6 \ w))))).
L(x,y,z * (u * ((w * (v5 * v6)) \ v5))) = L(x,y,z * (u * (v5 \ (v6 \ (w \ v5))))).
a(x,y,L(L(z,u,w),v5,v6 * (v7 * (v8 \ (v6 \ (v7 \ v8)))))) = a(x,y,L(z,u,w)).
a(x,y,L(L(z,u,w),v5,L(v6,v7,v8) \ v6)) = a(x,y,L(z,u,w)).
a(x,y,L(L(z,u,w),v5,a(v6,v7,v8))) = a(x,y,L(z,u,w)).
a(x,y,L(L(z,u,w),u \ x,w)) != v5 | a(x,y,z) = v5.
a(x,y,z) = a(x,y,L(z,u,a(w,v5,v6))).
a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z).
a(x,y,z) * u != a(x,y,L(z,w,a(v5,v6,v7))) | 1 = u.
1 = a(a(x,y,z),u,a(w,v5,v6)).
a(a(x,y,z),u,a(w,v5,v6)) = 1.
a(x,y,a(a(z,u,w),v5,v6)) = 1.

end_of_list.
