% -------------------------------------------------------------------------
% Prove AIM + {Moufang (M1), LC} => all 7 goals
% -------------------------------------------------------------------------

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

lex([LEX_1,1,a,K,L,R,T,*,\,/]).   %LOOP_1

set(para_units_only).
set(para_from_small).

clear(back_demod).
set(restrict_denials).

assign(max_megs, 8000).
assign(max_weight, 25).
assign(sos_limit,-1).

list(actions).

   % reduce the maximum weight after a while
   given =  30 -> assign(max_weight, 25).

end_of_list.

list(given_selection).
   
   % hint matchers are the highest priority
   part(H, high, weight, hint) = 1.
   
   part(Wf, low, weight, false) = 3.
   
   part(W0w, low, weight, weight <= 20) = 16.
   part(W0a, low, age,    weight <= 20) =  2.
   part(W0r, low, random, weight <= 20) =  5.
   
   part(W1w, low, weight, weight >  20 & weight <= 30) = 8.
   part(W1a, low, age,    weight >  20 & weight <= 30) = 2.
   part(W1r, low, random, weight >  20 & weight <= 30) = 5.
   
   part(W2w, low, weight, weight >  30) = 4.
   part(W2a, low, age,    weight >  30) = 2.
   part(W2r, low, random, weight >  30) = 5.
   
end_of_list.

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
   (x * (y * z)) \ ((x * y) * z) = a(x,y,z).
   
   % commutator
   (x * y) \ (y * x) = K(y,x).
   
   % inner mappings
   
   % L(u,x,y) = u L(x) L(y) L(yx)^{-1}
   (y * x) \ (y * (x * u)) = L(u,x,y).
   
   % R(u,x,y) = u R(x) R(y) R(xy)^{-1}
   ((u * x) * y) / (x * y) = R(u,x,y).
   
   % T(u,x) = u R(x) L(x)^{-1}
   x \ (u * x) = T(u,x).
   
   % obvious compatibility
   a(x,y,z) = 1 -> L(z,y,x) = z.
   L(x,y,z) = x -> a(z,y,x) = 1.
   T(x,y) = x -> T(y,x) = y.
   T(x,y) = x -> K(x,y) = 1.
   K(x,y) = 1 -> T(x,y) = x.
   
   % abelian inner mapping group
   T(T(u,x),y) = T(T(u,y),x).
   T(L(u,x,y),z) = L(T(u,z),x,y).
   T(R(u,x,y),z) = R(T(u,z),x,y).
   L(R(u,x,y),z,w) = R(L(u,z,w),x,y).
   L(L(u,x,y),z,w) = L(L(u,z,w),x,y).
   R(R(u,x,y),z,w) = R(R(u,z,w),x,y).

end_of_list.

formulas(goals).

   a(K(x,y),z,u) = 1              # label("aK1").
   a(x,K(y,z),u) = 1              # label("aK2").
   a(x,y,K(z,u)) = 1              # label("aK3").
   K(a(x,y,z),u) = 1              # label("Ka").

   a(a(x,y,z),u,w) = 1            # label("aa1").
   a(x,a(y,z,u),w) = 1            # label("aa2").
   a(x,y,a(z,u,w)) = 1            # label("aa3").

end_of_list.

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

formulas(assumptions).

   ((x * y) * x) * z = x * (y * (x * z)) # label("Moufang (M1)").
   (x * (x * y)) * z = x * (x * (y * z)) # label("LC").

end_of_list.

formulas(hints).

% 5717 hints from 7 proof(s) in file first_sketch.out, Mon Feb 20 11:49:07 2012

a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause).
L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause).
T(x,y) = x -> T(y,x) = y # label(non_clause).
K(x,y) = 1 -> T(x,y) = x # label(non_clause).
a(x,K(y,z),u) = 1 # label("aK2") # label(non_clause) # label(goal).
1 * x = x.
x * 1 = x.
x \ (x * y) = y.
x * (x \ y) = y.
(x * y) / y = x.
(x / y) * y = x.
(x * (y * z)) \ ((x * y) * z) = a(x,y,z).
(x * y) \ (y * x) = K(y,x).
(x * y) \ (x * (y * z)) = L(z,y,x).
((x * y) * z) / (y * z) = R(x,y,z).
x \ (y * x) = T(y,x).
a(x,y,z) != 1 | L(z,y,x) = z.
L(x,y,z) != x | a(z,y,x) = 1.
T(x,y) != x | T(y,x) = y.
K(x,y) != 1 | T(x,y) = x.
T(T(x,y),z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,u),y,z).
T(R(x,y,z),u) = R(T(x,u),y,z).
L(R(x,y,z),u,w) = R(L(x,u,w),y,z).
R(L(x,y,z),u,w) = L(R(x,u,w),y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z).
((x * y) * x) * z = x * (y * (x * z)) # label("Moufang (M1)").
(x * (x * y)) * z = x * (x * (y * z)) # label("LC").
a(c5,K(c6,c7),c8) != 1 # label("aK2") # answer("aK2").
1 \ x = x.
x \ x = 1.
x / x = 1.
x / 1 = x.
x / (y \ x) = y.
(x / y) \ x = y.
(x * y) \ ((x * 1) * y) = a(x,1,y).
(x * y) \ (x * y) = a(x,1,y).
1 = a(x,1,y).
a(x,1,y) = 1.
(x * (y * z)) * a(x,y,z) = (x * y) * z.
(x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y).
(x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z).
(x * y) \ ((x * (y / z)) * z) = a(x,y / z,z).
((x / y) * (y * z)) \ (x * z) = a(x / y,y,z).
(x * y) * K(y,x) = y * x.
x \ ((y \ x) * y) = K(y \ x,y).
((x \ y) * x) \ y = K(x,x \ y).
K(x * x,x) = a(x,x,x).
x \ (y * ((y \ x) * z)) = L(z,y \ x,y).
(x * y) \ (x * z) = L(y \ z,y,x).
L(x \ y,x,z) = (z * x) \ (z * y).
x \ ((x / y) * (y * z)) = L(z,y,x / y).
(x * (y / z)) \ (x * y) = L(z,y / z,x).
L(x,y / x,z) = (z * (y / x)) \ (z * y).
(x * y) / ((z \ x) * y) = R(z,z \ x,y).
R(x,x \ y,z) = (y * z) / ((x \ y) * z).
x / (y * ((z * y) \ x)) = R(z,y,(z * y) \ x).
R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)).
((x * y) * (y \ z)) / z = R(x,y,y \ z).
R(x,y,z) * (y * z) = (x * y) * z.
(x * y) / (z * y) = R(x / z,z,y).
R(x / y,y,z) = (x * z) / (y * z).
x \ x = T(1,x).
1 = T(1,x).
T(1,x) = 1.
1 \ x = T(x,1).
x = T(x,1).
T(x,1) = x.
T(x,x) = x.
x * T(y,x) = y * x.
(x \ y) \ y = T(x,x \ y).
T(x,x \ y) = (x \ y) \ y.
x \ y = T(y / x,x).
T(x / y,y) = y \ x.
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 * 1) * x) * y = x * (x * y).
(x * x) * y = x * (x * y).
x * (y * (x * 1)) = (x * y) * x.
x * (y * x) = (x * y) * x.
(x * y) * x = x * (y * x).
x * (y * (x * (((x * y) * x) \ z))) = z.
x * (y * (x * ((x * (y * x)) \ z))) = z.
(x * y) * z = y * ((y \ x) * (y * z)).
x * ((x \ y) * (x * z)) = (y * x) * z.
(x * (y * (x * z))) / z = (x * y) * x.
(x * (y * (x * z))) / z = x * (y * x).
(x * (y * (z * (y * u)))) \ ((x * ((y * z) * y)) * u) = a(x,(y * z) * y,u).
(x * (y * (z * (y * u)))) \ ((x * (y * (z * y))) * u) = a(x,(y * z) * y,u).
(x * (y * (z * (y * u)))) \ ((x * (y * (z * y))) * u) = a(x,y * (z * y),u).
(((x * y) * x) * (z * u)) \ ((x * (y * (x * z))) * u) = a((x * y) * x,z,u).
((x * (y * x)) * (z * u)) \ ((x * (y * (x * z))) * u) = a((x * y) * x,z,u).
((x * (y * x)) * (z * u)) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u).
(x * ((y * z) * y)) \ (x * (y * (z * (y * u)))) = L(u,(y * z) * y,x).
(x * (y * (z * y))) \ (x * (y * (z * (y * u)))) = L(u,(y * z) * y,x).
(x * (y * (z * y))) \ (x * (y * (z * (y * u)))) = L(u,y * (z * y),x).
(((x * y) * x) * z) \ (x * (y * (x * (z * u)))) = L(u,z,(x * y) * x).
((x * (y * x)) * z) \ (x * (y * (x * (z * u)))) = L(u,z,(x * y) * x).
((x * (y * x)) * z) \ (x * (y * (x * (z * u)))) = L(u,z,x * (y * x)).
((x * ((y * z) * y)) * u) / (y * (z * (y * u))) = R(x,(y * z) * y,u).
((x * (y * (z * y))) * u) / (y * (z * (y * u))) = R(x,(y * z) * y,u).
((x * (y * (z * y))) * u) / (y * (z * (y * u))) = R(x,y * (z * y),u).
((((x * y) * x) * z) * ((x * y) * x)) * u = ((x * y) * x) * (z * (x * (y * (x * u)))).
(((x * (y * x)) * z) * ((x * y) * x)) * u = ((x * y) * x) * (z * (x * (y * (x * u)))).
(((x * (y * x)) * z) * (x * (y * x))) * u = ((x * y) * x) * (z * (x * (y * (x * u)))).
((x * (y * x)) * (z * (x * (y * x)))) * u = ((x * y) * x) * (z * (x * (y * (x * u)))).
((x * (y * x)) * (z * (x * (y * x)))) * u = (x * (y * x)) * (z * (x * (y * (x * u)))).
((x * ((y * z) * y)) * x) * u = x * (y * (z * (y * (x * u)))).
((x * (y * (z * y))) * x) * u = x * (y * (z * (y * (x * u)))).
(x * ((y * (z * y)) * x)) * u = x * (y * (z * (y * (x * u)))).
(x * (y * x)) * z = x * (y * (x * z)).
(x * (y * (x * (z * (x * (y * x)))))) * u = (x * (y * x)) * (z * (x * (y * (x * u)))).
(x * (y * (x * (z * (x * (y * x)))))) * u = x * (y * (x * (z * (x * (y * (x * u)))))).
(x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))).
(x * (y * (x * z))) \ (x * (y * (x * (z * u)))) = L(u,z,x * (y * x)).
(x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u).
(x * (x * y)) \ (x * (x * (y * z))) = z.
(x * y) * z = x * (x * ((x \ y) * z)).
x * (x * ((x \ y) * z)) = (x * y) * z.
(x * (y * (y * (z * u)))) \ ((x * (y * (y * z))) * u) = a(x,y * (y * z),u).
(x * (x * (y * (z * u)))) \ (((x * (x * y)) * z) * u) = a(x * (x * y),z,u).
(x * (x * (y * (z * u)))) \ ((x * (x * (y * z))) * u) = a(x * (x * y),z,u).
(x * (x * (y * (z * u)))) \ (x * (x * ((y * z) * u))) = a(x * (x * y),z,u).
(x * ((x * y) * z)) \ (x * (x * (y * z))) = a(x,x * y,z).
(x * (x * (y * z))) \ ((x * (x * y)) * (z * u)) = L(u,z,x * (x * y)).
(x * (x * (y * z))) \ (x * (x * (y * (z * u)))) = L(u,z,x * (x * y)).
(x * (y * (y * z))) \ (x * (y * (y * (z * u)))) = L(u,y * (y * z),x).
((x * (x * (y * z))) * u) / (z * u) = R(x * (x * y),z,u).
(x * (x * ((y * z) * u))) / (z * u) = R(x * (x * y),z,u).
((x * (y * (y * z))) * u) / (y * (y * (z * u))) = R(x,y * (y * z),u).
((x * (x * y)) * (x * (x * (y * z)))) * u = (x * (x * y)) * ((x * (x * y)) * (z * u)).
(x * (x * (y * (x * (x * (y * z)))))) * u = (x * (x * y)) * ((x * (x * y)) * (z * u)).
x * (x * ((y * (x * (x * (y * z)))) * u)) = (x * (x * y)) * ((x * (x * y)) * (z * u)).
x * (x * ((y * (x * (x * (y * z)))) * u)) = (x * (x * y)) * (x * (x * (y * (z * u)))).
x * (x * ((y * (x * (x * (y * z)))) * u)) = x * (x * (y * (x * (x * (y * (z * u)))))).
L(c8,K(c6,c7),c5) != c8 # answer("aK2").
T(x,y) = T(T(x,y),x).
T(T(x,y),x) = T(x,y).
(x * y) / T(x,y) = y.
R(x,y,z) \ ((x * y) * z) = y * z.
x \ ((y * x) * z) = (x \ y) * (x * z).
x * ((x \ y) * z) = (y * x) * (x \ z).
(x * y) * (y \ z) = y * ((y \ x) * z).
((x * y) * z) \ ((y * (y \ x)) * (y * z)) = a(y,y \ x,y * z).
((x * y) * z) \ (x * (y * z)) = a(y,y \ x,y * z).
a(x,x \ y,x * z) = ((y * x) * z) \ (y * (x * z)).
((x * y) * z) \ (((y \ x) * (y * z)) * y) = K((y \ x) * (y * z),y).
(((x \ y) * (x * z)) * x) \ ((y * x) * z) = K(x,(x \ y) * (x * z)).
(x * y) * (K(y,x) * ((x * y) * z)) = ((y * x) * (x * y)) * z.
((x * y) * z) \ (y * (((y \ x) * (y * z)) * u)) = L(u,(y \ x) * (y * z),y).
(x * (x \ y)) \ ((y * x) * z) = L(x * z,x \ y,x).
y \ ((y * x) * z) = L(x * z,x \ y,x).
L(x * y,x \ z,x) = z \ ((z * x) * y).
(x * y) * (L(z,y,x) * ((x * y) * u)) = ((x * (y * z)) * (x * y)) * u.
(((x * y) * z) * u) / (((y \ x) * (y * z)) * u) = R(y,(y \ x) * (y * z),u).
x * (T(y,x) * (x * z)) = ((y * x) * x) * z.
(x * ((y * x) * z)) * u = x * (x * (((x \ y) * (x * z)) * u)).
x * (x * (((x \ y) * (x * z)) * u)) = (x * ((y * x) * z)) * u.
(x * (y * (y * z))) * u = y * (y * (z * (((y * (y * z)) \ x) * ((y * (y * z)) * u)))).
(x * (y * (y * z))) * u = y * (y * (z * (((y * (y * z)) \ x) * (y * (y * (z * u)))))).
x * (x * (y * (((x * (x * y)) \ z) * (x * (x * (y * u)))))) = (z * (x * (x * y))) * u.
(x * (x * (x \ y))) * (x * z) = x * ((y * x) * z).
(x * y) * (x * z) = x * ((y * x) * z).
x * ((x \ y) * ((z * x) * u)) = (y * x) * ((x \ z) * (x * u)).
(x * y) * ((y \ z) * (y * u)) = y * ((y \ x) * ((z * y) * u)).
(x * ((x \ y) * z)) / z = R(y,x,x \ z).
(x * y) \ (z * ((z \ x) * y)) = a(x,z,z \ y).
(x * y) * (L(z,y,x) * ((x * y) * u)) = (x * (((y * z) * x) * y)) * u.
(x * (x \ y)) / 1 = R(y,x,x \ 1).
y / 1 = R(y,x,x \ 1).
y = R(y,x,x \ 1).
R(x,y,y \ 1) = x.
(x * y) / ((x \ z) \ y) = R(z,x,x \ ((x \ z) \ y)).
R(x,y,y \ ((y \ x) \ z)) = (y * z) / ((y \ x) \ z).
R(x,y,y \ z) * z = y * ((y \ x) * z).
((x * (y * z)) * (a(x,y,z) * u)) / u = R((x * y) * z,x * (y * z),(x * (y * z)) \ u).
R((x * y) * z,x * (y * z),(x * (y * z)) \ u) = ((x * (y * z)) * (a(x,y,z) * u)) / u.
(x * (x * (y * (((x * (x * y)) \ z) * u)))) / u = R(z,x * (x * y),(x * (x * y)) \ u).
(x * (1 * y)) / y = R(x,x,x \ y).
(x * y) / y = R(x,x,x \ y).
x = R(x,x,x \ y).
R(x,x,x \ y) = x.
((x / y) * (y * z)) / z = R(x,x / y,(x / y) \ z).
R(x,x / y,(x / y) \ z) = ((x / y) * (y * z)) / z.
T(x * (y * z),a(x,y,z)) = ((x * (y * z)) \ ((x * y) * z)) \ ((x * y) * z).
T(x * (y * z),a(x,y,z)) = a(x,y,z) \ ((x * y) * z).
a(x,y,z) \ ((x * y) * z) = T(x * (y * z),a(x,y,z)).
x / T(y,y \ x) = y \ x.
((x \ y) * (((x \ y) \ z) * y)) / y = R(z,x \ y,T(x,x \ y)).
R(z,x \ y,(x \ y) \ y) = R(z,x \ y,T(x,x \ y)).
R(x,y \ z,T(y,y \ z)) = R(x,y \ z,(y \ z) \ z).
T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y.
L(L(L(x,y,z),u,w),v5,v6) = L(L(L(x,u,w),y,z),v5,v6).
L(L(L(L(x,y,z),u,w),v5,v6),v7,v8) = L(L(L(L(x,v5,v6),y,z),v7,v8),u,w).
((x * y) * z) / T(x * (y * z),a(x,y,z)) = a(x,y,z).
((x * (y \ z)) * T(y,y \ z)) / ((y \ z) * T(y,y \ z)) = R(x,y \ z,(y \ z) \ z).
((x * (y \ z)) * T(y,y \ z)) / (y * (y \ z)) = R(x,y \ z,(y \ z) \ z).
((x * (y \ z)) * T(y,y \ z)) / z = R(x,y \ z,(y \ z) \ z).
(x * (y * (y * z))) \ ((x * (y * (1 * y))) * z) = a(x,y * (1 * y),z).
(x * (y * (y * z))) \ ((x * (y * y)) * z) = a(x,y * (1 * y),z).
(x * (y * (y * z))) \ ((x * (y * y)) * z) = a(x,y * y,z).
(x * (y * (z * (y * u)))) * a(x,y * (z * y),u) = (x * (y * (z * y))) * u.
((x * (y * (y * 1))) * z) / (y * (y * z)) = R(x,y * (y * 1),z).
((x * (y * y)) * z) / (y * (y * z)) = R(x,y * (y * 1),z).
((x * (y * y)) * z) / (y * (y * z)) = R(x,y * y,z).
((x * (y * (y * z))) * (z \ u)) / (y * (y * u)) = R(x,y * (y * z),z \ u).
R(x,y * (y * z),u) * (y * (y * (z * u))) = (x * (y * (y * z))) * u.
(x * y) / (z * (z * (u * y))) = R(x / (z * (z * u)),z * (z * u),y).
R(x / (y * (y * z)),y * (y * z),u) = (x * u) / (y * (y * (z * u))).
((x * y) * z) * K((y \ x) * (y * z),y) = ((y \ x) * (y * z)) * y.
((x * (y / z)) * z) \ ((((y / z) \ x) * y) * (y / z)) = K(((y / z) \ x) * ((y / z) * z),y / z).
((x * (y / z)) * z) \ ((((y / z) \ x) * y) * (y / z)) = K(((y / z) \ x) * y,y / z).
((x * (x / y)) * z) \ ((y * ((x / y) * z)) * (x / y)) = K(((x / y) \ x) * ((x / y) * z),x / y).
((x * (x / y)) * z) \ ((y * ((x / y) * z)) * (x / y)) = K(y * ((x / y) * z),x / y).
x * (x * (x * (y * (x * (x * (x * z)))))) = x * (x * ((x * (y * (x * (x * x)))) * z)).
x * (x * ((x * (y * (x * (x * x)))) * z)) = x * (x * (x * (y * (x * (x * (x * z)))))).
x * (x * y) = x * (x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y))))))).
x * (x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))) = x * (x * u).
x * (x * (1 * (((x * (x * 1)) \ y) * (x * (x * z))))) = (y * (x * (x * 1))) * z.
x * (x * (1 * (((x * x) \ y) * (x * (x * z))))) = (y * (x * (x * 1))) * z.
x * (x * (((x * x) \ y) * (x * (x * z)))) = (y * (x * (x * 1))) * z.
x * (x * (((x * x) \ y) * (x * (x * z)))) = (y * (x * x)) * z.
x * (x * (y * (((x * (x * y)) \ z) * (x * (x * u))))) = (z * (x * (x * y))) * (y \ u).
R((x * y) * (y \ z),x * z,(x * (y * (y \ z))) \ u) = ((x * (y * (y \ z))) * (a(x,y,y \ z) * u)) / u.
R(y * ((y \ x) * z),x * z,(x * (y * (y \ z))) \ u) = ((x * (y * (y \ z))) * (a(x,y,y \ z) * u)) / u.
R(y * ((y \ x) * z),x * z,(x * z) \ u) = ((x * (y * (y \ z))) * (a(x,y,y \ z) * u)) / u.
R(x * ((x \ y) * z),y * z,(y * z) \ u) = ((y * z) * (a(y,x,x \ z) * u)) / u.
R((x * y) * z,x * (y * z),(x * (y * z)) \ u) \ ((x * (y * z)) * (a(x,y,z) * u)) = u.
x * (x * y) = x * (x * (x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))))).
x * (x * (x * (y * (x * (x * (x * ((x * (y * (x * (x * x)))) \ z))))))) = x * (x * z).
R(x,1 / y,y) = x.
R(x,x,y) = x.
T(x,y) = R(T(x,y),x,z).
R(T(x,y),x,z) = T(x,y).
((x * (1 / y)) * y) / ((1 / y) * y) = x.
((x * (1 / y)) * y) / 1 = x.
(x * (1 / y)) * y = x.
(x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)).
(x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z).
(x * (y * x)) * z = x * (x * (T(y,x) * z)).
x * (y * (x * z)) = x * (x * (T(y,x) * z)).
x * (x * (T(y,x) * z)) = x * (y * (x * z)).
x * (y * (y * z)) = y * (y * (z * T(x,y * (y * z)))).
x * (x * (y * T(z,x * (x * y)))) = z * (x * (x * y)).
T(x,T(x,y)) = x.
x * T(x,y) = T(x,y) * x.
T(x,y) * x = x * T(x,y).
T(x,(x \ y) \ y) = x.
L(x \ 1,x,y) = (y * x) \ y.
L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))).
(x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x).
L(x \ (y * x),x,y) = T(y,y * x).
L(T(x,y),y,x) = T(x,x * y).
((x * y) * (((x * y) \ z) * (x * u))) / (x * u) = R(z,x * y,L(y \ u,y,x)).
R(z,x * y,(x * y) \ (x * u)) = R(z,x * y,L(y \ u,y,x)).
R(x,y * z,L(z \ u,z,y)) = R(x,y * z,(y * z) \ (y * u)).
T(x * y,(x * y) \ (x * z)) = L(y \ z,y,x) \ (x * z).
((x * y) * (L(y \ z,y,x) * u)) \ ((x * z) * u) = a(x * y,(x * y) \ (x * z),u).
L(L(x,y,z),z * y,z) = x.
x * (T(y,x) * x) = ((y * x) * x) * 1.
x * (T(y,x) * x) = (y * x) * x.
(((x * y) * y) * z) \ ((y * T(x,y)) * (y * z)) = a(y,T(x,y),y * z).
(((x * y) * y) * z) \ ((x * y) * (y * z)) = a(y,T(x,y),y * z).
x * (T(T(y,x),z) * (x * u)) = ((T(y,z) * x) * x) * u.
(x * (T(y,x) * (x * (T(y,x) * z)))) \ ((((y * x) * x) * T(y,x)) * z) = a(x,T(y,x) * (x * T(y,x)),z).
(((y * x) * x) * (T(y,x) * z)) \ ((((y * x) * x) * T(y,x)) * z) = a(x,T(y,x) * (x * T(y,x)),z).
a((y * x) * x,T(y,x),z) = a(x,T(y,x) * (x * T(y,x)),z).
a((x * y) * y,T(x,y),z) = a(y,T(x,y) * (x * y),z).
((x * (y / z)) * z) / T(x * y,a(x,y / z,z)) = a(x,y / z,z).
x \ (y * (x * (x * z))) = x * (z * T(y,x * (x * z))).
x * (y * T(z,x * (x * y))) = x \ (z * (x * (x * y))).
(x * x) \ (y * (x * (x * z))) = L(z * T(y,x * (x * z)),x,x).
L(x * T(y,z * (z * x)),z,z) = (z * z) \ (y * (z * (z * x))).
x * (x * (T(y,x) * T(z,x * (y * x)))) = z * (x * (x * T(y,x))).
x * (y * (x * T(z,x * (y * x)))) = z * (x * (x * T(y,x))).
x * (y * (x * T(z,x * (y * x)))) = z * (x * (y * x)).
((x * y) * (y \ x)) \ (y * ((y \ x) * (y * ((y \ x) * z)))) = L(z,(y \ x) * (y * (y \ x)),y).
(y * ((y \ x) * x)) \ (y * ((y \ x) * (y * ((y \ x) * z)))) = L(z,(y \ x) * (y * (y \ x)),y).
(y * ((y \ x) * x)) \ ((x * y) * ((y \ x) * z)) = L(z,(y \ x) * (y * (y \ x)),y).
(x * ((x \ y) * y)) \ ((y * x) * ((x \ y) * z)) = L(z,(x \ y) * y,x).
x * K((y \ z) * (y * ((z * y) \ x)),y) = ((y \ z) * (y * ((z * y) \ x))) * y.
(x * (x * (y * z))) / T(x * (x * y),z) = z.
(x * y) / T(y,T(x,y)) = T(x,y).
(((x \ y) * (x * z)) * x) / T((y * x) * z,K((x \ y) * (x * z),x)) = K((x \ y) * (x * z),x).
x / y = x * (1 / y).
x * (1 / y) = x / y.
x * y = x / (1 / y).
x / (1 / y) = x * y.
(x * ((1 / y) * y)) \ x = a(x,1 / y,y).
(x * 1) \ x = a(x,1 / y,y).
x \ x = a(x,1 / y,y).
1 = a(x,1 / y,y).
a(x,1 / y,y) = 1.
1 \ ((x * ((1 / x) * x)) * (1 / x)) = K(x * ((1 / x) * x),1 / x).
1 \ ((x * 1) * (1 / x)) = K(x * ((1 / x) * x),1 / x).
1 \ (x * (1 / x)) = K(x * ((1 / x) * x),1 / x).
1 \ (x / x) = K(x * ((1 / x) * x),1 / x).
1 \ 1 = K(x * ((1 / x) * x),1 / x).
1 = K(x * ((1 / x) * x),1 / x).
1 = K(x * 1,1 / x).
1 = K(x,1 / x).
K(x,1 / x) = 1.
T(x,1 / x) = x.
T(1 / x,x) = 1 / x.
x \ 1 = 1 / x.
1 / x = x \ 1.
(1 / x) \ (x * (1 / x)) = x.
(x \ 1) \ (x * (1 / x)) = x.
(x \ 1) \ (x * (x \ 1)) = x.
(x \ 1) \ 1 = x.
T(x \ 1,x) = x \ 1.
(1 / x) * x = x * (1 / x).
(x \ 1) * x = x * (1 / x).
(x \ 1) * x = x * (x \ 1).
(x \ 1) * x = 1.
a(x,y \ 1,y) = 1.
x / (y \ 1) = x * y.
x * (y \ 1) = x / y.
L(x,x \ 1,y) = (y * (x \ 1)) \ (y * 1).
L(x,x \ 1,y) = (y / x) \ (y * 1).
L(x,x \ 1,y) = (y / x) \ y.
L(x,x \ 1,y) = x.
1 \ ((x \ 1) * (x * y)) = L(y,x,x \ 1).
(x \ 1) * (x * y) = L(y,x,x \ 1).
(((x * y) \ 1) * x) \ 1 = L(y,x,(x * y) \ 1).
L(x,y,(y * x) \ 1) = (((y * x) \ 1) * y) \ 1.
(1 * x) / (y * x) = R(y \ 1,y,x).
x / (y * x) = R(y \ 1,y,x).
R(x \ 1,x,y) = y / (x * y).
(1 * x) / (y * (y * (z * x))) = R((y * (y * z)) \ 1,y * (y * z),x).
x / (y * (y * (z * x))) = R((y * (y * z)) \ 1,y * (y * z),x).
R((x * (x * y)) \ 1,x * (x * y),z) = z / (x * (x * (y * z))).
(x * ((x \ (y \ 1)) * y)) \ 1 = a(x,x \ (y \ 1),y).
L(1 / x,x,y) = 1 / x.
L(x \ 1,x,y) = 1 / x.
L(x \ 1,x,y) = x \ 1.
L(L(x,y,z),u,w) = L(L(L(x,u,w),y,z),L(x,y,z) \ 1,v5).
L(L(L(x,y,z),u,w),L(x,u,w) \ 1,v5) = L(L(x,u,w),y,z).
L(L(L(x,y,z),u,w),x \ 1,v5) = L(L(x,y,z),u,w).
x \ 1 = (y * x) \ y.
(x * y) \ x = y \ 1.
1 / L(x,y,(y * x) \ 1) = ((y * x) \ 1) * y.
L(x,y,(y * x) \ 1) \ 1 = ((y * x) \ 1) * y.
L(x,x \ y,x) = y \ ((y * x) * 1).
L(x,x \ y,x) = y \ (y * x).
L(x,x \ y,x) = x.
L(x * y,x \ (x \ 1),x) = (x \ 1) \ (1 * y).
L(x * y,x \ (x \ 1),x) = (x \ 1) \ y.
(x * (x * y)) / T(x * (x * (y / z)),z) = z.
(((T(x,y) * z) * z) * u) / (T(T(x,z),y) * (z * u)) = z.
a(x * x,T(1,x),y) = a(x,T(1,x) * (1 * x),y).
a(x * x,1,y) = a(x,T(1,x) * (1 * x),y).
1 = a(x,T(1,x) * (1 * x),y).
1 = a(x,1 * (1 * x),y).
1 = a(x,1 * x,y).
1 = a(x,x,y).
a(x,x,y) = 1.
K(x * x,x) = 1.
x \ (x \ (y * (x * (x * z)))) = z * T(y,x * (x * z)).
x * (y * T((x * (x * y)) \ 1,x * (x * y))) = x \ 1.
x * (y * ((x * (x * y)) \ 1)) = x \ 1.
x * (y / (x * (x * y))) = x \ 1.
x \ (y * (x * (z * x))) = z * (x * T(y,x * (z * x))).
x * (y * T(z,y * (x * y))) = y \ (z * (y * (x * y))).
(1 * x) / (y * (z * (y * x))) = R((y * (z * y)) \ 1,y * (z * y),x).
x / (y * (z * (y * x))) = R((y * (z * y)) \ 1,y * (z * y),x).
R((x * (y * x)) \ 1,x * (y * x),z) = z / (x * (y * (x * z))).
R(x,y \ z,(y \ z) \ z) * z = (x * (y \ z)) * T(y,y \ z).
(x \ y) * (((x \ y) \ z) * y) = (z * (x \ y)) * T(x,x \ y).
R(x,y \ z,(y \ z) \ z) \ ((x * (y \ z)) * T(y,y \ z)) = z.
L(x * T(y / (z * (z * x)),z * (z * x)),z,z) = (z * z) \ y.
L(x * ((y * (y * x)) \ z),y,y) = (y * y) \ z.
L(x * T((y * (y * x)) \ 1,y * (y * x)),y,y) = (y * y) \ 1.
L(x * ((y * (y * x)) \ 1),y,y) = (y * y) \ 1.
L(x / (y * (y * x)),y,y) = (y * y) \ 1.
L(x,y,y) = x.
x / (y * (y * x)) = (y * y) \ 1.
x * ((y * (y * x)) \ z) = (y * y) \ z.
x * ((x * x) \ 1) = x \ 1.
x / (x * x) = x \ 1.
T(x * x,x) = x * x.
L(x,y,x) = x.
T(x,y) = L(T(x,y),z,x).
L(T(x,y),z,x) = T(x,y).
x \ y = ((x \ y) * x) \ ((x \ y) * y).
((x \ y) * x) \ ((x \ y) * y) = x \ y.
(((x \ y) * x) * ((x \ y) * z)) \ (((x \ y) * y) * z) = a((x \ y) * x,((x \ y) * x) \ ((x \ y) * y),z).
((x \ y) * ((x * (x \ y)) * z)) \ (((x \ y) * y) * z) = a((x \ y) * x,((x \ y) * x) \ ((x \ y) * y),z).
((x \ y) * (y * z)) \ (((x \ y) * y) * z) = a((x \ y) * x,((x \ y) * x) \ ((x \ y) * y),z).
a(x \ y,y,z) = a((x \ y) * x,((x \ y) * x) \ ((x \ y) * y),z).
a(x \ y,y,z) = a((x \ y) * x,x \ y,z).
a((x \ y) * x,x \ y,z) = a(x \ y,y,z).
T(x,y) = T(x,x * y).
T(x,x * y) = T(x,y).
T(x * y,y \ 1) = (y \ 1) \ x.
x \ (x / y) = y \ 1.
(x / y) \ (x * ((y \ 1) * z)) = L(z,y \ 1,x).
((x * y) / z) / (y * (z \ 1)) = R(x,y,z \ 1).
((x * y) / z) / (y / z) = R(x,y,z \ 1).
(x * (x * y)) / z = x * (x * (y * (z \ 1))).
(x * (x * y)) / z = x * (x * (y / z)).
x * (T(y,x) * (x / z)) = ((y * x) * x) * (z \ 1).
x * (T(y,x) * (x / z)) = ((y * x) * x) / z.
(x * (x * (y * (((x * (x * y)) \ z) * u)))) * (u \ 1) = R(z,x * (x * y),(x * (x * y)) \ u).
x * (x * ((y * (((x * (x * y)) \ z) * u)) / u)) = R(z,x * (x * y),(x * (x * y)) \ u).
(x * (x * (y / z))) / T(x * (x * y),z \ 1) = z \ 1.
x * (x * ((y / z) / T(x * (x * y),z \ 1))) = z \ 1.
(x * (x * (y * z))) * (T(x * (x * y),z) \ 1) = z.
x * (x * ((y * z) / T(x * (x * y),z))) = z.
x * ((y \ 1) * T(z,x * (x / y))) = x \ (z * (x * (x * (y \ 1)))).
x * ((y \ 1) * T(z,x * (x / y))) = x \ (z * (x * (x / y))).
x * (x * (y / T(x * (x * (y / z)),z))) = z.
x * (x * (((y * z) * u) / (z * u))) = R(x * (x * y),z,u).
x * (x * R(y,z,u)) = R(x * (x * y),z,u).
((x / (y * (y * z))) * (y * (y * (z * u)))) \ (x * u) = a(x / (y * (y * z)),y * (y * z),u).
R(x,x / y,(x / y) \ (y \ z)) = ((x / y) * z) / (y \ z).
R(x,x * y,(x / (y \ 1)) \ z) = ((x / (y \ 1)) * ((y \ 1) * z)) / z.
R(x,x * y,(x * y) \ z) = ((x / (y \ 1)) * ((y \ 1) * z)) / z.
R(x,x * y,(x * y) \ z) = ((x * y) * ((y \ 1) * z)) / z.
(x / y) * ((x / y) * ((y * z) / T((x / y) * x,z))) = z.
(x * x) \ y = L((z * y) / T(x * (x * z),y),x,x).
(x * x) \ y = (z * y) / T(x * (x * z),y).
(x * y) / T(z * (z * x),y) = (z * z) \ y.
x * y = z * (z * (((u * x) / T(z * (z * u),x)) * y)).
x * y = z * (z * (((z * z) \ x) * y)).
x * (x * (((x * x) \ y) * z)) = y * z.
x * (x * (((T(T(y,x),z) * (x * u)) * w) / T(x * (((T(y,z) * x) * x) * u),w))) = w.
y * (x * (x * z)) = (y * (x * x)) * z.
(x * (y * y)) * z = x * (y * (y * z)).
(x * (y * (y * z))) / (y * (y * z)) = R(x,y * y,z).
x = R(x,y * y,z).
R(x,y * y,z) = x.
(x * (y * (y * z))) \ (x * (y * (y * z))) = a(x,y * y,z).
1 = a(x,y * y,z).
a(x,y * y,z) = 1.
x / (T(T(y,z),u) * (z * (((T(y,u) * z) * z) \ x))) = z.
(x * (y * (y * x))) * z = x * (y * (1 * (y * (x * z)))).
(x * (y * (y * x))) * z = x * (y * (y * (x * z))).
x * (y * (z * (y * (x * ((x * (y * (z * (y * x)))) \ u))))) = u.
(x * (x * y)) \ (x * (1 * (x * (y * z)))) = L(z,y,x * (1 * x)).
(x * (x * y)) \ (x * (x * (y * z))) = L(z,y,x * (1 * x)).
L(L(z,y,x),x * y,x) = L(z,y,x * (1 * x)).
z = L(z,y,x * (1 * x)).
z = L(z,y,x * x).
L(x,y,z * z) = x.
(x * 1) \ (x * (((x * y) \ 1) * (x * (y * z)))) = L(z,y,x * (((x * y) \ 1) * x)).
x \ (x * (((x * y) \ 1) * (x * (y * z)))) = L(z,y,x * (((x * y) \ 1) * x)).
((x * y) \ 1) * (x * (y * z)) = L(z,y,x * (((x * y) \ 1) * x)).
L(x,y,z * (((z * y) \ 1) * z)) = ((z * y) \ 1) * (z * (y * x)).
(x * (((x * (y * z)) \ 1) * (x * y))) \ (x * 1) = L(z,y,x * (((x * (y * z)) \ 1) * x)).
(x * (((x * (y * z)) \ 1) * (x * y))) \ x = L(z,y,x * (((x * (y * z)) \ 1) * x)).
(((x * (y * z)) \ 1) * (x * y)) \ 1 = L(z,y,x * (((x * (y * z)) \ 1) * x)).
L(x,y,z * (((z * (y * x)) \ 1) * z)) = (((z * (y * x)) \ 1) * (z * y)) \ 1.
L(L(L(x,y,z),u,(u * x) \ 1),((((u * x) \ 1) * u) \ 1) \ 1,w) = L(L(x,u,(u * x) \ 1),y,z).
L(L(L(x,y,z),u,(u * x) \ 1),((u * x) \ 1) * u,w) = L(L(x,u,(u * x) \ 1),y,z).
L(L(L(x,y,z),u,(u * x) \ 1),L(x,u,(u * x) \ 1) \ 1,w) = L((((u * x) \ 1) * u) \ 1,y,z).
L(L(L(x,y,z),u,(u * x) \ 1),((u * x) \ 1) * u,w) = L((((u * x) \ 1) * u) \ 1,y,z).
L(L(x,y,(y * x) \ 1),z,u) = L((((y * x) \ 1) * y) \ 1,z,u).
L(x,y * y,z) = x.
a(x,y * (y * (z * (y * (y * z)))),u) = 1.
x \ y = ((z * z) * x) \ ((z * z) * y).
x \ y = (z * (z * x)) \ ((z * z) * y).
x \ y = (z * (z * x)) \ (z * (z * y)).
(x * (x * y)) \ (x * (x * z)) = y \ z.
(y * z) \ (y * (z * u)) = L(u,z,x * (x * y)).
L(u,z,y) = L(u,z,x * (x * y)).
L(x,y,z * (z * u)) = L(x,y,u).
(y * (z * u)) \ ((y * z) * u) = a(x * (x * y),z,u).
a(y,z,u) = a(x * (x * y),z,u).
a(x * (x * y),z,u) = a(y,z,u).
L(x,(y \ 1) / y,z) = x.
x \ y = (y \ x) \ 1.
(x \ y) \ 1 = y \ x.
((x * y) * z) \ y = ((y \ x) * (y * z)) \ 1.
((x \ y) * (x * z)) \ 1 = ((y * x) * z) \ x.
((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1.
((x * (y \ 1)) * T(z * y,(z * y) \ z)) / z = R(x,(z * y) \ z,((z * y) \ z) \ z).
((x / y) * T(z * y,(z * y) \ z)) / z = R(x,(z * y) \ z,((z * y) \ z) \ z).
((x / y) * T(z * y,y \ 1)) / z = R(x,(z * y) \ z,((z * y) \ z) \ z).
((x / y) * ((y \ 1) \ z)) / z = R(x,(z * y) \ z,((z * y) \ z) \ z).
((x / y) * ((y \ 1) \ z)) / z = R(x,y \ 1,((z * y) \ z) \ z).
((x / y) * ((y \ 1) \ z)) / z = R(x,y \ 1,(y \ 1) \ z).
T(x * y,(y \ 1) \ x) = x * y.
a(x * y,y,z) \ 1 = a(y,T(x,y),y * z).
a(x,T(y,x),x * z) = a(y * x,x,z) \ 1.
a(x,x \ y,x * z) = a(y,x,z) \ 1.
((x * (y \ 1)) * (y * y)) / T(x * y,a(x,y / (y * y),y * y)) = a(x,y / (y * y),y * y).
((x / y) * (y * y)) / T(x * y,a(x,y / (y * y),y * y)) = a(x,y / (y * y),y * y).
((x / y) * (y * y)) / T(x * y,a(x,y \ 1,y * y)) = a(x,y / (y * y),y * y).
((x / y) * (y * y)) / T(x * y,a(x,y \ 1,y * y)) = a(x,y \ 1,y * y).
((x * (y \ 1)) * (y * y)) \ ((((y / (y * y)) \ x) * y) * (y / (y * y))) = K(((y / (y * y)) \ x) * y,y / (y * y)).
((x / y) * (y * y)) \ ((((y / (y * y)) \ x) * y) * (y / (y * y))) = K(((y / (y * y)) \ x) * y,y / (y * y)).
((x / y) * (y * y)) \ ((((y \ 1) \ x) * y) * (y / (y * y))) = K(((y / (y * y)) \ x) * y,y / (y * y)).
((x / y) * (y * y)) \ ((((y \ 1) \ x) * y) * (y \ 1)) = K(((y / (y * y)) \ x) * y,y / (y * y)).
((x / y) * (y * y)) \ ((((y \ 1) \ x) * y) / y) = K(((y / (y * y)) \ x) * y,y / (y * y)).
((x / y) * (y * y)) \ ((y \ 1) \ x) = K(((y / (y * y)) \ x) * y,y / (y * y)).
((x / y) * (y * y)) \ ((y \ 1) \ x) = K(((y \ 1) \ x) * y,y / (y * y)).
((x / y) * (y * y)) \ ((y \ 1) \ x) = K(((y \ 1) \ x) * y,y \ 1).
(x * y) \ ((x * (y \ 1)) * (y * y)) = a(x,y / (y * y),y * y).
(x * y) \ ((x / y) * (y * y)) = a(x,y / (y * y),y * y).
(x * y) \ ((x / y) * (y * y)) = a(x,y \ 1,y * y).
T(x * x,y) = T(T(x * x,y),x).
T(T(x * x,y),x) = T(x * x,y).
T((x \ 1) / x,x \ 1) = (x \ 1) * (x \ 1).
T((x \ 1) / x,x \ 1) = (x \ 1) / x.
((((x * x) * y) * y) * z) / (T(T(x * x,y),x) * (y * z)) = y.
(((x * (x * y)) * y) * z) / (T(T(x * x,y),x) * (y * z)) = y.
((x * (x * (y * y))) * z) / (T(T(x * x,y),x) * (y * z)) = y.
(x * (x * ((y * y) * z))) / (T(T(x * x,y),x) * (y * z)) = y.
(x * (x * (y * (y * z)))) / (T(T(x * x,y),x) * (y * z)) = y.
(x * (x * (y * (y * z)))) / (T(x * x,y) * (y * z)) = y.
x * (x * ((y * (y * z)) / (T(x * x,y) * (y * z)))) = y.
x * (x * (y * (y * (z / (T(x * x,y) * (y * z)))))) = y.
T(x,y) = T(x,x \ y).
T(x,x \ y) = T(x,y).
T(x / y,x) = T(x / y,y).
T(x / y,x) = y \ x.
T(x * (x * y),x * (x * (y * z))) = T(x * (x * y),z).
T(x,x * (x \ y)) = (x \ y) \ y.
T(x,y) = (x \ y) \ y.
(x \ y) \ y = T(x,y).
T(x,y * x) = T(x,T(y,x)).
R(x,y \ z,T(y,z)) \ ((x * (y \ z)) * T(y,y \ z)) = z.
R(x,y \ z,T(y,z)) \ ((x * (y \ z)) * T(y,z)) = z.
(x \ y) * T(x,y) = y.
(x \ y) * (((x \ y) \ z) * y) = (z * (x \ y)) * T(x,y).
T(x * y,x * z) = L(y \ z,y,x) \ (x * z).
L(x \ y,x,z) \ (z * y) = T(z * x,z * y).
T(x \ y,T(x,y)) = ((x \ y) \ y) \ y.
T(x \ y,T(x,y)) = T(x,y) \ y.
x / T(y,x) = y \ x.
x \ (x \ 1) = (x \ 1) / x.
(x \ 1) / x = x \ (x \ 1).
L(x,y \ (y \ 1),z) = x.
x * y = (x \ 1) \ y.
(x \ 1) \ y = x * y.
((x / y) * (y * y)) \ (y * x) = K(((y \ 1) \ x) * y,y \ 1).
((x / y) * (y * y)) \ (y * x) = K((y * x) * y,y \ 1).
((x / y) * (y * y)) \ (y * x) = K(y * (x * y),y \ 1).
T(x * y,y * x) = x * y.
((x / y) * (y * z)) / z = R(x,y \ 1,(y \ 1) \ z).
((x / y) * (y * z)) / z = R(x,y \ 1,y * z).
T(x * y,y \ 1) = y * x.
R(x,x / y,(x / y) \ z) = R(x,y \ 1,y * z).
R(x,y \ 1,y * (y \ z)) = ((x / y) * z) / (y \ z).
R(x,y \ 1,z) = ((x / y) * z) / (y \ z).
((x / y) * z) / (y \ z) = R(x,y \ 1,z).
(x * y) \ (y * x) = K(x,y) \ 1.
K(y,x) = K(x,y) \ 1.
K(x,y) \ 1 = K(y,x).
T(x * y,y * x) = T(x * y,K(y,x)).
x * y = T(x * y,K(y,x)).
T(x * y,K(y,x)) = x * y.
(x * (y * z)) \ (L(z,y,x) * (x * y)) = K((x * y) \ (x * (y * z)),x * y).
(x * (y * z)) \ (L(z,y,x) * (x * y)) = K(L(z,y,x),x * y).
x * (y * z) = y * (((y \ x) * y) * z).
x * (((x \ y) * x) * z) = y * (x * z).
L(x * (y * z),x \ y,x) = y \ (y * ((x * y) * z)).
L(x * (y * z),x \ y,x) = (x * y) * z.
(x / y) * (x * z) = x * (((y \ 1) * x) * z).
x * (((y \ 1) * x) * z) = (x / y) * (x * z).
x * a(y,z,y * ((y * (z * y)) \ x)) = (y * z) * (y * ((y * (z * y)) \ x)).
x * a(y,z,y * ((y * (z * y)) \ x)) = y * ((z * y) * ((y * (z * y)) \ x)).
(x * y) \ (x * (x * z)) = (x \ y) \ z.
(x * (x * y)) \ (x * z) = y \ (x \ z).
T((x * (x * y)) / (x * (x * z)),x * (x * z)) = z \ y.
T(x * (x * (y / (x * (x * z)))),x * (x * z)) = z \ y.
((x \ 1) * 1) \ ((x \ 1) * ((x \ 1) * y)) = x \ y.
(x \ 1) \ ((x \ 1) * ((x \ 1) * y)) = x \ y.
(x \ 1) * y = x \ y.
(x \ ((x * y) * z)) \ (y * z) = a(x,x * y,z).
x * ((y \ x) * z) = (x / y) * (x * z).
(x / y) * (x * z) = x * ((y \ x) * z).
L(L(x,y,(y * x) \ 1),z,u) = L(((y * x) \ y) \ 1,z,u).
L(L(x,y,(y * x) \ 1),z,u) = L((x \ 1) \ 1,z,u).
L(L(x,y,(y * x) \ 1),z,u) = L(T(x,1),z,u).
L(L(x,y,(y * x) \ 1),z,u) = L(x,z,u).
L(L(L(x,y,z),u,(u * x) \ 1),(u * x) \ u,w) = L(L(x,u,(u * x) \ 1),y,z).
L(L(L(x,y,z),u,(u * x) \ 1),x \ 1,w) = L(L(x,u,(u * x) \ 1),y,z).
L(L(x,y,z),u,(u * x) \ 1) = L(L(x,u,(u * x) \ 1),y,z).
L(L(x,y,z),u,(u * x) \ 1) = L(x,y,z).
L(x,y,z * ((z * (y * x)) \ z)) = (((z * (y * x)) \ 1) * (z * y)) \ 1.
L(x,y,z * ((y * x) \ 1)) = (((z * (y * x)) \ 1) * (z * y)) \ 1.
L(x,y,z / (y * x)) = (((z * (y * x)) \ 1) * (z * y)) \ 1.
L(x,y,z / (y * x)) = ((z * (y * x)) \ (z * y)) \ 1.
L(x,y,z / (y * x)) = (z * y) \ (z * (y * x)).
L(x,y,z / (y * x)) = L(x,y,z).
L(x,y,z * ((z * y) \ z)) = ((z * y) \ 1) * (z * (y * x)).
L(x,y,z * (y \ 1)) = ((z * y) \ 1) * (z * (y * x)).
L(x,y,z / y) = ((z * y) \ 1) * (z * (y * x)).
L(x,y,z / y) = (z * y) \ (z * (y * x)).
L(x,y,z / y) = L(x,y,z).
R(x,x * y,(x * y) \ z) = ((x * y) * (y \ z)) / z.
R(x,x * y,(x * y) \ z) = (y * ((y \ x) * z)) / z.
R(x,x * y,(x * y) \ z) = R(x,y,y \ z).
x * (y \ T(z,x * (x / y))) = x \ (z * (x * (x / y))).
(x / y) \ (x * (y \ z)) = L(z,y \ 1,x).
x \ (x * y) = L(y,x,x \ 1).
y = L(y,x,x \ 1).
L(x,y,y \ 1) = x.
x \ ((x / y) * (y * z)) = L(z,y,x).
T(x,K(y \ x,y)) = y * (y \ x).
T(x,K(y \ x,y)) = x.
T((x * y) * z,K((y \ x) * (y * z),y)) = y * ((y \ x) * (y * z)).
T((x * y) * z,K((y \ x) * (y * z),y)) = (x * y) * z.
K(x,y) * (y * x) = (y * x) * K(x,y).
K(x,y) * (y * x) = x * y.
(((x \ y) * (x * z)) * x) / ((y * x) * z) = K((x \ y) * (x * z),x).
x \ (x \ y) = z * T(y / (x * (x * z)),x * (x * z)).
x \ (x \ y) = z * ((x * (x * z)) \ y).
x \ (x \ y) = (x * x) \ y.
(x * x) \ y = x \ (x \ y).
x \ L(y * (x * (x * z)),y \ x,y) = z * T(x * y,x * (x * z)).
x \ ((y * x) * (x * z)) = z * T(x * y,x * (x * z)).
(x \ y) * (x * (x * z)) = z * T(x * y,x * (x * z)).
x * T(y * z,y * (y * x)) = (y \ z) * (y * (y * x)).
x \ (y \ (z * (y * (x * y)))) = y * T(z,y * (x * y)).
x * (x * (((x \ y) / z) / T(x * y,z \ 1))) = z \ 1.
(x * x) \ (y \ 1) = L((z / y) / T(x * (x * z),y \ 1),x,x).
x \ (x \ (y \ 1)) = L((z / y) / T(x * (x * z),y \ 1),x,x).
x \ (x \ (y \ 1)) = (z / y) / T(x * (x * z),y \ 1).
(x / y) / T(z * (z * x),y \ 1) = z \ (z \ (y \ 1)).
((x \ 1) * y) / ((z * ((u / x) / T(z * (z * u),x \ 1))) * y) = R(z,z * ((u / x) / T(z * (z * u),x \ 1)),y).
(x \ y) / ((z * ((u / x) / T(z * (z * u),x \ 1))) * y) = R(z,z * ((u / x) / T(z * (z * u),x \ 1)),y).
(x \ y) / ((z * (z \ (z \ (x \ 1)))) * y) = R(z,z * ((u / x) / T(z * (z * u),x \ 1)),y).
(x \ y) / ((z \ (x \ 1)) * y) = R(z,z * ((u / x) / T(z * (z * u),x \ 1)),y).
(x \ y) / ((z \ (x \ 1)) * y) = R(z,z * (z \ (z \ (x \ 1))),y).
(x \ y) / ((z \ (x \ 1)) * y) = R(z,z \ (x \ 1),y).
R(x,x \ (y \ 1),z) = (y \ z) / ((x \ (y \ 1)) * z).
R((x * x) * ((y / z) / T(x * (x * y),z \ 1)),z \ 1,(x * (x * ((y / z) / T(x * (x * y),z \ 1)))) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R((x * x) * (x \ (x \ (z \ 1))),z \ 1,(x * (x * ((y / z) / T(x * (x * y),z \ 1)))) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R(x * (x * (x \ (x \ (z \ 1)))),z \ 1,(x * (x * ((y / z) / T(x * (x * y),z \ 1)))) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R(x * (x \ (z \ 1)),z \ 1,(x * (x * ((y / z) / T(x * (x * y),z \ 1)))) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R(z \ 1,z \ 1,(x * (x * ((y / z) / T(x * (x * y),z \ 1)))) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R(z \ 1,z \ 1,(x * (x * (x \ (x \ (z \ 1))))) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R(z \ 1,z \ 1,(x * (x \ (z \ 1))) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R(z \ 1,z \ 1,(z \ 1) \ u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
R(z \ 1,z \ 1,z * u) = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
z \ 1 = ((x * (x * ((y / z) / T(x * (x * y),z \ 1)))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
z \ 1 = ((x * (x * (x \ (x \ (z \ 1))))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
z \ 1 = ((x * (x \ (z \ 1))) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
z \ 1 = ((z \ 1) * (a(x,x,(y / z) / T(x * (x * y),z \ 1)) * u)) / u.
z \ 1 = ((z \ 1) * (a(x,x,x \ (x \ (z \ 1))) * u)) / u.
z \ 1 = ((z \ 1) * (1 * u)) / u.
z \ 1 = ((z \ 1) * u) / u.
z \ 1 = (z \ u) / u.
(x \ y) / y = x \ 1.
x / ((x * ((y / z) / T(x * (x * y),z \ 1))) \ 1) = z \ 1.
x / ((x * (x \ (x \ (z \ 1)))) \ 1) = z \ 1.
x / ((x \ (z \ 1)) \ 1) = z \ 1.
x / ((z \ 1) \ x) = z \ 1.
x / (y * x) = y \ 1.
R(x \ 1,x,y) = x \ 1.
(x * (y * x)) \ 1 = z / (x * (y * (x * z))).
x / (y * (z * (y * x))) = (y * (z * y)) \ 1.
(x * (x * y)) \ 1 = z / (x * (x * (y * z))).
x / (y * (y * (z * x))) = (y * (y * z)) \ 1.
x \ (x * (x * y)) = x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y)))))).
x * y = x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y)))))).
x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u)))))) = x * u.
(x * (x * y)) \ ((x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y))))))) * x) = K(x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y)))))),x).
(x * (x * y)) \ ((x * y) * x) = K(x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y)))))),x).
(x * (x * y)) \ (x * (y * x)) = K(x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y)))))),x).
y \ (x \ (y * x)) = K(x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y)))))),x).
y \ T(y,x) = K(x * (z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y)))))),x).
y \ T(y,x) = K(x * y,x).
K(x * y,x) = y \ T(y,x).
((x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))) * x) \ (x * (x * u)) = K(x,x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))).
((x * u) * x) \ (x * (x * u)) = K(x,x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))).
(x * (u * x)) \ (x * (x * u)) = K(x,x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))).
(x \ (u * x)) \ u = K(x,x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))).
T(u,x) \ u = K(x,x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))).
T(u,x) \ u = K(x,x * u).
K(x,x * y) = T(y,x) \ y.
(x * x) \ (x * (x * y)) = L(z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y))))),x,x).
x \ (x \ (x * (x * y))) = L(z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y))))),x,x).
x \ (x * y) = L(z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y))))),x,x).
y = L(z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y))))),x,x).
y = z * (x * (x * (z * (u * ((z * (x * (x * (z * u)))) \ y))))).
x * (y * (y * (x * (z * ((x * (y * (y * (x * z)))) \ u))))) = u.
L((x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u))))))) \ w,x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u)))))),x) = (x * (x * u)) \ (x * w).
L((x * u) \ w,x * (y * (x * (x * (y * (z * ((y * (x * (x * (y * z)))) \ u)))))),x) = (x * (x * u)) \ (x * w).
L((x * u) \ w,x * u,x) = (x * (x * u)) \ (x * w).
L((x * y) \ z,x * y,x) = y \ (x \ z).
L(x \ (y * (z * (y * (y * (z * (u * ((z * (y * (y * (z * u)))) \ w))))))),x,y) = (y * x) \ (y * (y * w)).
L(x \ (y * w),x,y) = (y * x) \ (y * (y * w)).
L(x \ (y * z),x,y) = (y \ x) \ z.
x * (x * (y * (x * (x * (y * ((z \ 1) * ((y * (x * (x * (y / z)))) \ u))))))) = x * (x * u).
x * (x * (y * (x * (x * (y * (z \ ((y * (x * (x * (y / z)))) \ u))))))) = x * (x * u).
(x * (x * (x * x))) \ (x * (x * y)) = L(x * (x * (z * ((x * (x * (x * (x * z)))) \ y))),x,x * (x * x)).
(x \ (x * (x * x))) \ y = L(x * (x * (z * ((x * (x * (x * (x * z)))) \ y))),x,x * (x * x)).
(x * x) \ y = L(x * (x * (z * ((x * (x * (x * (x * z)))) \ y))),x,x * (x * x)).
x \ (x \ y) = L(x * (x * (z * ((x * (x * (x * (x * z)))) \ y))),x,x * (x * x)).
x \ (x \ y) = L(x * (x * (z * ((x * (x * (x * (x * z)))) \ y))),x,x).
x \ (x \ y) = x * (x * (z * ((x * (x * (x * (x * z)))) \ y))).
x * (x * (y * ((x * (x * (x * (x * y)))) \ z))) = x \ (x \ z).
(x * (x * (x * ((x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z))))) * u)))) \ ((x * (x * z)) * u) = a(x * (x * x),x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z)))),u).
(x * (x * (x * ((x * (x \ (x \ z))) * u)))) \ ((x * (x * z)) * u) = a(x * (x * x),x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z)))),u).
(x * (x * (x * ((x \ z) * u)))) \ ((x * (x * z)) * u) = a(x * (x * x),x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z)))),u).
(x * ((x * z) * u)) \ ((x * (x * z)) * u) = a(x * (x * x),x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z)))),u).
(x * ((x * z) * u)) \ (x * (x * (z * u))) = a(x * (x * x),x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z)))),u).
(x \ ((x * z) * u)) \ (z * u) = a(x * (x * x),x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z)))),u).
a(x,x * z,u) = a(x * (x * x),x * (x * (x * (y * ((x * (x * (x * (x * y)))) \ z)))),u).
a(x,x * z,u) = a(x * (x * x),x * (x \ (x \ z)),u).
a(x,x * z,u) = a(x * (x * x),x \ z,u).
a(x,x * z,u) = a(x,x \ z,u).
a(x,x \ y,z) = a(x,x * y,z).
a(x,x * y,x * z) = a(y,x,z) \ 1.
(x * ((x \ (y \ 1)) * y)) \ 1 = a(x,x * (y \ 1),y).
(x * ((x \ (y \ 1)) * y)) \ 1 = a(x,x / y,y).
((x * y) * (L(y \ z,y,x) * u)) \ ((x * z) * u) = a(x * y,(x * y) * (x * z),u).
((x * y) * (L(y \ z,y,x) * u)) \ ((x * z) * u) = a(x * y,x * ((y * x) * z),u).
(x * ((x \ y) * z)) \ (y * z) = a(x,x * y,z).
((x * y) * z) \ R(x,y,z) = (y * z) \ 1.
x * ((y \ 1) * (x * z)) = ((x / y) * x) * z.
x * (y \ (x * z)) = ((x / y) * x) * z.
((x / y) * x) * z = x * (y \ (x * z)).
(x \ y) * (y \ x) = 1.
L(x \ y,y \ x,z) = (z * (y \ x)) \ (z * 1).
L(x \ y,y \ x,z) = (z * (y \ x)) \ z.
L(x \ y,y \ x,z) = (y \ x) \ 1.
L(x \ y,y \ x,z) = x \ y.
a(x,y \ z,z \ y) = 1.
x / (y \ z) = x * (z \ y).
a(x / y,y,z) \ 1 = (x * z) \ ((x / y) * (y * z)).
(x * y) \ ((x / z) * (z * y)) = a(x / z,z,y) \ 1.
L(x,y \ z,z \ y) = x.
((x / y) * z) * (z \ y) = R(x,y \ 1,z).
x * ((x \ (y / z)) * z) = R(y,z \ 1,x).
R(x,y,y \ ((y \ x) \ z)) = (y * z) * (z \ (y \ x)).
R(x,y,y \ ((y \ x) \ z)) = z * ((z \ y) * (y \ x)).
a(x / y,y,y) \ 1 = a(x,y \ 1,y * y).
T(x * y,y \ 1) = T(x * y,x).
y * x = T(x * y,x).
T(x * y,x) = y * x.
T(x,K(y \ x,y)) = T(x,(y \ x) * y).
x = T(x,(y \ x) * y).
T(x,(y \ x) * y) = x.
x * (y \ x) = (x / y) * x.
(x / y) * x = x * (y \ x).
(x * (y \ x)) * z = x * (y \ (x * z)).
(x / y) * ((x / y) * ((y * z) / T(x * (y \ x),z))) = z.
T(x \ y,T(x,y)) = T(x \ y,y).
T(x,y) \ y = T(x \ y,y).
T(x,y) * (T(x \ y,T(x,y)) * (T(x,y) * z)) = (y * T(x,y)) * z.
T(x,y) * (T(x \ y,y) * (T(x,y) * z)) = (y * T(x,y)) * z.
T(x,y) * (T(x \ y,y) * (T(x,y) * z)) = (x * y) * z.
(x \ (x \ y)) * T(x,y) = x \ y.
x / T(x,y) = T(x,y) \ x.
T(x,y) / x = x \ T(x,y).
((x \ y) * x) / T(y,(x \ y) * x) = K(x \ y,x).
((x \ y) * x) / y = K(x \ y,x).
(x * y) \ 1 = y \ (x \ 1).
(x \ y) \ z = (y \ x) * z.
((x * y) * z) \ R(x,y,z) = z \ (y \ 1).
((x \ (y \ 1)) * y) \ (x \ 1) = a(x,x / y,y).
x / (y * (y * (z * x))) = (y * z) \ (y \ 1).
x / (y * (z * (y * x))) = (z * y) \ (y \ 1).
L(L(x,y,z),u,x \ (u \ 1)) = L(x,y,z).
(x * z) \ ((x \ y) \ 1) = ((y * x) * z) \ x.
(x * z) \ ((y \ x) * 1) = ((y * x) * z) \ x.
(x * z) \ (y \ x) = ((y * x) * z) \ x.
((x * y) * z) \ y = (y * z) \ (x \ y).
R(x,y,y \ ((x \ y) * z)) = z * ((z \ y) * (y \ x)).
L(x \ (y * z),x,y) = (x \ y) * z.
(((x * y) * z) \ x) * (y * z) = a(x,x * y,z).
(x * y) \ (x * (x * z)) = (y \ x) * z.
(x \ y) * (((y \ x) * z) * y) = (z * (x \ y)) * T(x,y).
(x \ y) * x = T(y,x).
T(y,x) / y = K(x \ y,x).
y \ T(y,x) = K(x \ y,x).
K(x \ y,x) = y \ T(y,x).
x * (T(y,x) * z) = y * (x * z).
a(T(x,y),y \ x,z) = a(y \ x,x,z).
T(y,x) \ y = K(x,x \ y).
K(x,x \ y) = T(y,x) \ y.
y * (x * (x / z)) = ((y * x) * x) / z.
((x * y) * y) / z = x * (y * (y / z)).
y * (x * x) = (y * x) * x.
(x * y) * y = x * (y * y).
(y * (x * z)) \ ((y * x) * z) = a(x,T(y,x),z).
a(y,x,z) = a(x,T(y,x),z).
a(x,T(y,x),z) = a(y,x,z).
(x * (y * y)) / z = x * (y * (y / z)).
x / (T(T(y,z),u) * (z * ((T(y,u) * (z * z)) \ x))) = z.
x * (x * (((T(T(y,x),z) * (x * u)) * w) / T(x * ((T(y,z) * (x * x)) * u),w))) = w.
x * (x * (((T(T(y,x),z) * (x * u)) * w) / T(x * (T(y,z) * (x * (x * u))),w))) = w.
a(y,x,x * z) = a(y * x,x,z) \ 1.
a(x * y,y,z) \ 1 = a(x,y,y * z).
(x / y) * (y * (y / T(x * y,a(x,y \ 1,y * y)))) = a(x,y \ 1,y * y).
K(x,y) * K(y,x) = 1.
(K(x,y) * ((K(x,y) \ z) * 1)) / 1 = R(z,K(x,y),K(y,x)).
(K(x,y) * (K(x,y) \ z)) / 1 = R(z,K(x,y),K(y,x)).
z / 1 = R(z,K(x,y),K(y,x)).
z = R(z,K(x,y),K(y,x)).
R(x,K(y,z),K(z,y)) = x.
x * K(y,z) = x / K(z,y).
x / K(y,z) = x * K(z,y).
L(x,K(y,z),K(z,y)) = x.
L(x,y * z,y) = z \ (y \ ((y * z) * x)).
x \ (y \ ((y * x) * z)) = L(z,y * x,y).
L((x / y) \ z,x * (y \ 1),x) = (y \ 1) \ (x \ z).
L((x / y) \ z,x / y,x) = (y \ 1) \ (x \ z).
L((x / y) \ z,x / y,x) = (1 \ y) * (x \ z).
L((x / y) \ z,x / y,x) = y * (x \ z).
x \ ((y * y) \ z) = ((y * y) * x) \ z.
x \ (y \ (y \ z)) = ((y * y) * x) \ z.
x \ (y \ (y \ z)) = (y * (y * x)) \ z.
(x * (x * y)) \ z = y \ (x \ (x \ z)).
L((x * y) \ z,(y * x) * K(x,y),y * x) = K(x,y) \ ((y * x) \ z).
L((x * y) \ z,x * y,y * x) = K(x,y) \ ((y * x) \ z).
x * (x * ((y * ((y \ (x \ (x \ z))) * u)) / u)) = R(z,x * (x * y),(x * (x * y)) \ u).
x * (x * R(x \ (x \ z),y,y \ u)) = R(z,x * (x * y),(x * (x * y)) \ u).
R(x * (x * (x \ (x \ z))),y,y \ u) = R(z,x * (x * y),(x * (x * y)) \ u).
R(x * (x \ z),y,y \ u) = R(z,x * (x * y),(x * (x * y)) \ u).
R(z,y,y \ u) = R(z,x * (x * y),(x * (x * y)) \ u).
R(z,y,y \ u) = R(z,x * (x * y),y \ (x \ (x \ u))).
R(x,y * (y * z),z \ (y \ (y \ u))) = R(x,z,z \ u).
x * (x * (y * ((y \ (x \ (x \ z))) * (x * (x * u))))) = (z * (x * (x * y))) * (y \ u).
1 \ ((x * (y \ z)) * (z \ y)) = T(x * ((y \ z) * (z \ y)),a(x,y \ z,z \ y)).
(x * (y \ z)) * (z \ y) = T(x * ((y \ z) * (z \ y)),a(x,y \ z,z \ y)).
(x * (y \ z)) * (z \ y) = T(x * 1,a(x,y \ z,z \ y)).
(x * (y \ z)) * (z \ y) = T(x,a(x,y \ z,z \ y)).
(x * (y \ z)) * (z \ y) = T(x,1).
(x * (y \ z)) * (z \ y) = x.
(x * (y * y)) \ ((x * y) * y) = a(x,y,T(y,y)).
(x * (y * y)) \ (x * (y * y)) = a(x,y,T(y,y)).
1 = a(x,y,T(y,y)).
1 = a(x,y,y).
a(x,y,y) = 1.
1 \ 1 = a(x,y \ 1,y * y).
1 = a(x,y \ 1,y * y).
a(x,y \ 1,y * y) = 1.
(x / y) * (y * (y / T(x * y,1))) = a(x,y \ 1,y * y).
(x / y) * (y * (y / (x * y))) = a(x,y \ 1,y * y).
(x / y) * (y * (x \ 1)) = a(x,y \ 1,y * y).
(x / y) * (y / x) = a(x,y \ 1,y * y).
(x / y) * (y / x) = 1.
x * (x * ((y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))))) = y * z.
T(x * (x * y),x * (x * z)) = T(x * (x * y),y \ z).
T(x * (x * y),y \ z) = T(x * (x * y),x * (x * z)).
T(x * (x * y),x * (x * (y / z))) = T(x * (x * y),z \ 1).
(x * (x * (y * (z * (z * u))))) \ ((x * (x * y)) * (z * (z * (u * w)))) = L(w,z * (z * u),x * (x * y)).
(x * (x * (y * (z * (z * u))))) \ (x * (x * (y * (z * (z * (u * w)))))) = L(w,z * (z * u),x * (x * y)).
((x * (y * (z * (z * u)))) \ x) * (y * (z * (z * (u * w)))) = L(w,z * (z * u),x * (x * y)).
((y * (z * (z * u))) \ 1) * (y * (z * (z * (u * w)))) = L(w,z * (z * u),x * (x * y)).
((z * (z * u)) \ (y \ 1)) * (y * (z * (z * (u * w)))) = L(w,z * (z * u),x * (x * y)).
(u \ (z \ (z \ (y \ 1)))) * (y * (z * (z * (u * w)))) = L(w,z * (z * u),x * (x * y)).
(x \ (y \ (y \ (z \ 1)))) * (z * (y * (y * (x * u)))) = L(u,y * (y * x),z).
((x * (x * y)) * (x * (x * y))) \ ((x * (x * y)) * (x * (x * (y * z)))) = z.
(x * (((x * y) * x) * (x * y))) \ ((x * (x * y)) * (x * (x * (y * z)))) = z.
(x * ((x * (y * x)) * (x * y))) \ ((x * (x * y)) * (x * (x * (y * z)))) = z.
(x * (x * (((y * x) * x) * y))) \ ((x * (x * y)) * (x * (x * (y * z)))) = z.
(x * (x * ((y * (x * x)) * y))) \ ((x * (x * y)) * (x * (x * (y * z)))) = z.
(x * (x * (y * ((x * x) * y)))) \ ((x * (x * y)) * (x * (x * (y * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ ((x * (x * y)) * (x * (x * (y * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ (x * (((x * y) * x) * (x * (y * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ (x * ((x * (y * x)) * (x * (y * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ (x * (x * (((y * x) * x) * (y * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ (x * (x * ((y * (x * x)) * (y * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ (x * (x * (y * (((x * x) * y) * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ (x * (x * (y * ((x * (x * y)) * z)))) = z.
(x * (x * (y * (x * (x * y))))) \ (x * (x * (y * (x * (x * (y * z)))))) = z.
((x * (y * (x * (x * y)))) \ x) * (y * (x * (x * (y * z)))) = z.
((y * (x * (x * y))) \ 1) * (y * (x * (x * (y * z)))) = z.
((x * (x * y)) \ (y \ 1)) * (y * (x * (x * (y * z)))) = z.
(y \ (x \ (x \ (y \ 1)))) * (y * (x * (x * (y * z)))) = z.
L(x,y * (y * z),z) = x.
x \ y = z * (u * (z * (x * ((x * (z * (u * (z * x)))) \ y)))).
x * (y * (x * (z * ((z * (x * (y * (x * z)))) \ u)))) = z \ u.
(x * y) / (z * (u * (z * ((x \ w) * (((x \ w) * (z * (u * (z * (x \ w))))) \ y))))) = R(w,x,x \ (z * (u * (z * ((x \ w) * (((x \ w) * (z * (u * (z * (x \ w))))) \ y)))))).
(x * y) / ((x \ w) \ y) = R(w,x,x \ (z * (u * (z * ((x \ w) * (((x \ w) * (z * (u * (z * (x \ w))))) \ y)))))).
(x * y) / ((w \ x) * y) = R(w,x,x \ (z * (u * (z * ((x \ w) * (((x \ w) * (z * (u * (z * (x \ w))))) \ y)))))).
(x * y) / ((w \ x) * y) = R(w,x,x \ ((x \ w) \ y)).
(x * y) / ((w \ x) * y) = R(w,x,x \ ((w \ x) * y)).
R(x,y,y \ ((x \ y) * z)) = (y * z) / ((x \ y) * z).
R(x * ((x \ y) * (y \ z)),z,(y * (y \ z)) \ u) = ((y * (y \ z)) * (a(y,x,x \ (y \ z)) * u)) / u.
R(x * ((x \ y) * (y \ z)),z,z \ u) = ((y * (y \ z)) * (a(y,x,x \ (y \ z)) * u)) / u.
R(x * ((x \ y) * (y \ z)),z,z \ u) = (z * (a(y,x,x \ (y \ z)) * u)) / u.
(x * x) \ (x * (x * y)) = L(x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x,x).
x \ (x \ (x * (x * y))) = L(x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x,x).
x \ (x * y) = L(x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x,x).
y = L(x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x,x).
y = x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))).
x * (y * (x * (x * (x * ((x * (y * (x * (x * x)))) \ z))))) = z.
(x * (x * (x * y))) \ (x * (x * (x * ((x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y)))))) * u)))) = L(u,x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x * (x * x)).
(x * (x * (x * y))) \ (x * (x * (x * (y * u)))) = L(u,x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x * (x * x)).
((x * (x * y)) \ x) * (x * (y * u)) = L(u,x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x * (x * x)).
((x * y) \ 1) * (x * (y * u)) = L(u,x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x * (x * x)).
(y \ (x \ 1)) * (x * (y * u)) = L(u,x * (z * (x * (x * (x * ((x * (z * (x * (x * x)))) \ y))))),x * (x * x)).
(y \ (x \ 1)) * (x * (y * u)) = L(u,y,x * (x * x)).
(x \ (y \ 1)) * (y * (x * z)) = L(z,x,y).
((x * y) \ 1) * (y * x) = K(y,x).
(x \ (y \ 1)) * (x * y) = K(x,y).
(x \ y) \ ((x \ 1) * (y * z)) = L(z,y,x \ 1).
(x \ y) \ (x \ (y * z)) = L(z,y,x \ 1).
(x \ y) * (y \ (x * z)) = L(z,x,y \ 1).
((x \ 1) * (x \ y)) * z = (x \ 1) * ((x \ 1) * (y * z)).
(x \ (x \ y)) * z = (x \ 1) * ((x \ 1) * (y * z)).
(x \ (x \ y)) * z = (x \ 1) * (x \ (y * z)).
(x \ (x \ y)) * z = x \ (x \ (y * z)).
x \ (x \ (y * z)) = (x \ (x \ y)) * z.
x \ (y \ 1) = (x \ 1) / y.
(x \ 1) / y = x \ (y \ 1).
((x * y) \ 1) * x = y \ 1.
(x \ (y \ 1)) * y = x \ 1.
T(x \ 1,x \ y) = T(x \ 1,y).
((x * (y * (y * (z * u)))) \ 1) * ((x * (y * (y * z))) * u) = a(x,y * (y * z),u).
((y * (y * (z * u))) \ (x \ 1)) * ((x * (y * (y * z))) * u) = a(x,y * (y * z),u).
((x * y) \ (z \ (z \ (u \ 1)))) * ((u * (z * (z * x))) * y) = a(u,z * (z * x),y).
K(x,y) * z = K(y,x) \ z.
K(x,y) \ z = K(y,x) * z.
(x \ 1) \ (x \ 1) = a(x,x / y,y).
1 = a(x,x / y,y).
a(x,x / y,y) = 1.
L((x * y) \ z,x * y,y * x) = K(y,x) * ((y * x) \ z).
L(x,y / x,y) = x.
a(x * y,x,y) = 1.
L(x,y,y * x) = x.
R(x * ((x \ (x * (x \ y))) * y),(x * (x \ y)) * y,((x * (x \ y)) * y) \ z) = (((x * (x \ y)) * y) * (1 * z)) / z.
R(x * ((x \ y) * y),(x * (x \ y)) * y,((x * (x \ y)) * y) \ z) = (((x * (x \ y)) * y) * (1 * z)) / z.
R(x * ((x \ y) * y),y * y,((x * (x \ y)) * y) \ z) = (((x * (x \ y)) * y) * (1 * z)) / z.
R(x * ((x \ y) * y),y * y,(y * y) \ z) = (((x * (x \ y)) * y) * (1 * z)) / z.
R(x * ((x \ y) * y),y * y,y \ (y \ z)) = (((x * (x \ y)) * y) * (1 * z)) / z.
x * ((x \ y) * y) = (((x * (x \ y)) * y) * (1 * z)) / z.
x * ((x \ y) * y) = ((y * y) * (1 * z)) / z.
x * ((x \ y) * y) = ((y * y) * z) / z.
x * ((x \ y) * y) = (y * (y * z)) / z.
x * ((x \ y) * y) = y * (y * (z / z)).
x * ((x \ y) * y) = y * (y * 1).
x * ((x \ y) * y) = y * y.
(y * y) \ ((y * x) * ((x \ y) * z)) = L(z,(x \ y) * y,x).
y \ (y \ ((y * x) * ((x \ y) * z))) = L(z,(x \ y) * y,x).
(y \ (y \ (y * x))) * ((x \ y) * z) = L(z,(x \ y) * y,x).
(x \ y) * ((y \ x) * z) = L(z,(y \ x) * x,y).
L(x,y \ 1,y \ x) = x.
K(x,y) / (x * y) = (y * x) \ 1.
K(x,y) / (x * y) = x \ (y \ 1).
x / y = (y / x) \ 1.
(x / y) \ 1 = y / x.
K(L(x,y,z),z * y) / (L(x,y,z) * (z * y)) = (z * (y * x)) \ 1.
L(x,y,z) \ ((z * y) \ 1) = (z * (y * x)) \ 1.
L(x,y,z) \ (y \ (z \ 1)) = (z * (y * x)) \ 1.
L(x,y,z) \ (y \ (z \ 1)) = (y * x) \ (z \ 1).
L(x * (((y * x) \ y) * z),x \ y,x) = L(z,(y * x) \ y,y * x).
L(x * ((x \ 1) * z),x \ y,x) = L(z,(y * x) \ y,y * x).
L(x * (x \ z),x \ y,x) = L(z,(y * x) \ y,y * x).
L(z,x \ y,x) = L(z,(y * x) \ y,y * x).
L(z,x \ y,x) = L(z,x \ 1,y * x).
L(x,y \ 1,z * y) = L(x,y \ z,y).
(x * (y / L(L(z,u,w),v5,v6))) \ (x * y) = L(L(L(z,v5,v6),u,w),y / L(L(z,u,w),v5,v6),x).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6) = (v6 * (v5 / L(L(x,u,w),y,z))) \ (v6 * v5).
L(x,(y \ 1) / x,z) = (z * ((y \ 1) / x)) \ (z / y).
L(x,y \ (x \ 1),z) = (z * ((y \ 1) / x)) \ (z / y).
L(x,y \ (x \ 1),z) = (z * (y \ (x \ 1))) \ (z / y).
R(L(x,y,z),u,w) = L(R(L(x,y,z),u,w),v5,x \ (v5 \ 1)).
L(R(x,u,w),y,z) = L(R(L(x,y,z),u,w),v5,x \ (v5 \ 1)).
L(R(x,u,w),y,z) = L(L(R(x,u,w),y,z),v5,x \ (v5 \ 1)).
L(L(R(x,y,z),u,w),v5,x \ (v5 \ 1)) = L(R(x,y,z),u,w).
L(K(x * (y * x),x \ 1),(y / x) * (x * x),y / x) = (x * x) \ ((y / x) \ (x * y)).
L(K(x * (y * x),x \ 1),(y / x) * (x * x),y / x) = x \ (x \ ((y / x) \ (x * y))).
(((x / y) * (y * y)) \ 1) * (y * x) = K(y * (x * y),y \ 1).
((y * y) \ ((x / y) \ 1)) * (y * x) = K(y * (x * y),y \ 1).
((y * y) \ (y / x)) * (y * x) = K(y * (x * y),y \ 1).
(y \ (y \ (y / x))) * (y * x) = K(y * (x * y),y \ 1).
(y \ (x \ 1)) * (y * x) = K(y * (x * y),y \ 1).
K(y,x) = K(y * (x * y),y \ 1).
K(x * (y * x),x \ 1) = K(x,y).
L(K(x,y),(y / x) * (x * x),y / x) = x \ (x \ ((y / x) \ (x * y))).
T(x * (x * (y / (x * z))),x * (x * (x \ z))) = (x \ z) \ y.
T(x * (x * (y / (x * z))),x * z) = (x \ z) \ y.
T(x * (x * (y / (x * z))),x * z) = (z \ x) * y.
T(R(x,y * (y * z),u) * (R(x,y * (y * z),u) * (w / (R(x,y * (y * z),u) * ((x * (y * (y * z))) * u)))),R(x,y * (y * z),u) * (R(x,y * (y * z),u) * (y * (y * (z * u))))) = (y * (y * (z * u))) \ w.
T(R(x,y * (y * z),u) * (R(x,y * (y * z),u) * (w / (R(x,y * (y * z),u) * ((x * (y * (y * z))) * u)))),R(x,y * (y * z),u) * ((x * (y * (y * z))) * u)) = (y * (y * (z * u))) \ w.
(((x * (y * (y * z))) * u) \ R(x,y * (y * z),u)) * w = (y * (y * (z * u))) \ w.
(u \ ((y * (y * z)) \ 1)) * w = (y * (y * (z * u))) \ w.
(u \ ((y * z) \ (y \ 1))) * w = (y * (y * (z * u))) \ w.
(x \ ((y * z) \ (y \ 1))) * u = (z * x) \ (y \ (y \ u)).
x * (y \ T(z / (x * (x / y)),x * (x / y))) = x \ z.
x * (y \ ((x * (x / y)) \ z)) = x \ z.
T(x,K((y \ z) * (y * ((z * y) \ x)),y)) = (z * y) * ((z * y) \ x).
T(x,K((y \ z) * (y * ((z * y) \ x)),y)) = x.
x \ (y * z) = x * ((y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u)))))).
x * ((y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u)))))) = x \ (y * z).
(x * x) \ (y * z) = L((y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))),x,x).
x \ (x \ (y * z)) = L((y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))),x,x).
(x \ (x \ y)) * z = L((y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))),x,x).
(x \ (x \ y)) * z = (y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))).
(x * y) * ((x * y) * ((x * z) / (T(u * u,x * y) * (x * ((y * x) * z))))) = (u \ (u \ x)) * y.
x * ((x \ (x \ y)) * z) = x \ (y * z).
T(x,y) / y = (x \ y) \ 1.
T(x,y) / y = (y \ x) * 1.
T(x,y) / y = y \ x.
T(x,y) / (x \ y) = (x \ (x \ y)) \ 1.
T(x,y) * (y \ x) = (x \ (x \ y)) \ 1.
T(x,y) * (y \ x) = ((x \ y) \ x) * 1.
T(x,y) * (y \ x) = ((y \ x) * x) * 1.
T(x,y) * (y \ x) = (y \ x) * x.
1 \ ((x \ y) * ((y \ x) * z)) = L(z,y \ x,x \ y).
1 \ L(z,(y \ x) * x,y) = L(z,y \ x,x \ y).
L(z,(y \ x) * x,y) = L(z,y \ x,x \ y).
L(x,(y \ z) * z,y) = x.
((x \ y) * (z * 1)) \ ((x \ y) * (z * ((x \ y) * ((y \ x) * u)))) = L(u,y \ x,(x \ y) * (z * (x \ y))).
((x \ y) * z) \ ((x \ y) * (z * ((x \ y) * ((y \ x) * u)))) = L(u,y \ x,(x \ y) * (z * (x \ y))).
((x \ y) * z) \ ((x \ y) * (z * L(u,(y \ x) * x,y))) = L(u,y \ x,(x \ y) * (z * (x \ y))).
((x \ y) * z) \ ((x \ y) * (z * u)) = L(u,y \ x,(x \ y) * (z * (x \ y))).
L(u,z,x \ y) = L(u,y \ x,(x \ y) * (z * (x \ y))).
L(x,y \ z,(z \ y) * (u * (z \ y))) = L(x,u,z \ y).
((((x \ y) \ z) * 1) * (x \ y)) \ ((z * (x \ y)) * (y \ x)) = K(x \ y,((x \ y) \ z) * ((x \ y) * (y \ x))).
((((y \ x) * z) * 1) * (x \ y)) \ ((z * (x \ y)) * (y \ x)) = K(x \ y,((x \ y) \ z) * ((x \ y) * (y \ x))).
(((y \ x) * z) * (x \ y)) \ ((z * (x \ y)) * (y \ x)) = K(x \ y,((x \ y) \ z) * ((x \ y) * (y \ x))).
(((y \ x) * z) * (x \ y)) \ z = K(x \ y,((x \ y) \ z) * ((x \ y) * (y \ x))).
(z * (x \ y)) \ ((y \ x) \ z) = K(x \ y,((x \ y) \ z) * ((x \ y) * (y \ x))).
(z * (x \ y)) \ ((x \ y) * z) = K(x \ y,((x \ y) \ z) * ((x \ y) * (y \ x))).
K(x \ y,z) = K(x \ y,((x \ y) \ z) * ((x \ y) * (y \ x))).
K(x \ y,z) = K(x \ y,((y \ x) * z) * ((x \ y) * (y \ x))).
K(x \ y,z) = K(x \ y,((y \ x) * z) * 1).
K(x \ y,z) = K(x \ y,(y \ x) * z).
K(x \ y,(y \ x) * z) = K(x \ y,z).
(x \ y) * ((y \ x) * z) = z.
T((x \ y) * x,x \ y) = y.
T(T(x,y),y \ x) = x.
T((x * y) * z,y) = ((y \ x) * (y * z)) * y.
((x \ y) * (x * z)) * x = T((y * x) * z,x).
T(x * y,y) = T(x,y) * y.
T(x,y) * y = T(x * y,y).
T((y * x) * z,x) / ((y * x) * z) = K((x \ y) * (x * z),x).
((y * x) * z) \ T((y * x) * z,x) = K((x \ y) * (x * z),x).
K(x * ((y * x) * z),x) = K((x \ y) * (x * z),x).
K((x \ y) * (x * z),x) = K(x * ((y * x) * z),x).
x * K(y * ((z * y) * ((z * y) \ x)),y) = ((y \ z) * (y * ((z * y) \ x))) * y.
x * K(y * x,y) = ((y \ z) * (y * ((z * y) \ x))) * y.
x * K(y * x,y) = T((z * y) * ((z * y) \ x),y).
x * K(y * x,y) = T(x,y).
T(x,K(y * ((z * y) * ((z * y) \ x)),y)) = x.
T(x,K(y * x,y)) = x.
x \ T(y,x) = T(x \ y,x).
T(x,y) \ (y \ x) = y \ 1.
a(T(x,y),y \ x,y) = 1.
a(x \ y,y,x) = 1.
L(x,y,x \ y) = x.
a(x,y * x,y) = 1.
1 \ (K(x,y) * (K(y,x) * z)) = L(z,K(y,x),K(x,y)).
K(x,y) * (K(y,x) * z) = L(z,K(y,x),K(x,y)).
K(x,y) * (K(y,x) * z) = z.
((x * K(y,z)) * K(z,y)) / 1 = R(x,K(y,z),K(z,y)).
(x * K(y,z)) * K(z,y) = R(x,K(y,z),K(z,y)).
(x * K(y,z)) * K(z,y) = x.
(K(x,y) * (z * 1)) \ (K(x,y) * (z * (K(x,y) * (K(y,x) * u)))) = L(u,K(y,x),K(x,y) * (z * K(x,y))).
(K(x,y) * z) \ (K(x,y) * (z * (K(x,y) * (K(y,x) * u)))) = L(u,K(y,x),K(x,y) * (z * K(x,y))).
(K(x,y) * z) \ (K(x,y) * (z * u)) = L(u,K(y,x),K(x,y) * (z * K(x,y))).
L(u,z,K(x,y)) = L(u,K(y,x),K(x,y) * (z * K(x,y))).
L(x,K(y,z),K(z,y) * (u * K(z,y))) = L(x,u,K(z,y)).
(x * y) * (((z \ x) * y) \ 1) = R(z,z \ x,y).
(x * y) * (y \ ((z \ x) \ 1)) = R(z,z \ x,y).
(x * y) * (y \ ((x \ z) * 1)) = R(z,z \ x,y).
(x * y) * (y \ (x \ z)) = R(z,z \ x,y).
y * ((y \ x) * (x \ z)) = R(z,z \ x,y).
R(x,x \ y,z) = z * ((z \ y) * (y \ x)).
R(x,y \ 1,(x / y) \ z) = z / ((y \ 1) * ((x * (y \ 1)) \ z)).
R(x,y \ 1,(x / y) \ z) = z / ((y \ 1) * ((x / y) \ z)).
R(x,y \ 1,(x / y) \ z) = z / (y \ ((x / y) \ z)).
R(x,y \ 1,(x / y) \ z) = z * (((x / y) \ z) \ y).
R(x,y \ 1,(x / y) \ z) = z * ((z \ (x / y)) * y).
R(x,y \ 1,(x / y) \ z) = R(x,y \ 1,z).
K(x \ y,(x \ y) \ x) = T(x,y) \ x.
K(x \ y,(y \ x) * x) = T(x,y) \ x.
K(x \ y,x) = T(x,y) \ x.
T(x,y) \ x = K(x \ y,x).
x / T(x,y) = K(x \ y,x).
K(x,x * y) = K(y \ x,y).
K(x \ y,x) = K(y,y * x).
L(x \ y,x,z) = ((z / (x * (x \ y))) * x) \ ((z / (x * (x \ y))) * y).
L(x \ y,x,z) = ((z / y) * x) \ ((z / (x * (x \ y))) * y).
L(x \ y,x,z) = ((z / y) * x) \ ((z / y) * y).
L(x \ y,x,z) = ((z / y) * x) \ z.
((x \ y) * (x * (x * z))) / T(z,T(x * y,x * (x * z))) = T(x * y,x * (x * z)).
T(x,(y \ z) * (y * (y * x))) = T(x,T(y * z,y * (y * x))).
x \ (y \ z) = y * T(z / (y * (x * y)),y * (x * y)).
x \ (y \ z) = y * ((y * (x * y)) \ z).
x * ((x * (y * x)) \ z) = y \ (x \ z).
x * a(y,z,z \ (y \ x)) = y * ((z * y) * ((y * (z * y)) \ x)).
(x * (((y * z) * (z * y)) * u)) * a(x,(z * y) * (K(y,z) * (z * y)),u) = (x * ((z * y) * (K(y,z) * (z * y)))) * u.
(x * (((y * z) * (z * y)) * u)) * a(x,(z * y) * (y * z),u) = (x * ((z * y) * (K(y,z) * (z * y)))) * u.
(x * (((y * z) * (z * y)) * u)) * a(x,(z * y) * (y * z),u) = (x * ((z * y) * (y * z))) * u.
((x * ((y * z) * (K(z,y) * (y * z)))) * u) / (((z * y) * (y * z)) * u) = R(x,(y * z) * (K(z,y) * (y * z)),u).
((x * ((y * z) * (z * y))) * u) / (((z * y) * (y * z)) * u) = R(x,(y * z) * (K(z,y) * (y * z)),u).
((x * ((y * z) * (z * y))) * u) / (((z * y) * (y * z)) * u) = R(x,(y * z) * (z * y),u).
(((x * y) * z) \ 1) * (y * (((y \ x) * (y * z)) * u)) = L(u,(y \ x) * (y * z),y).
(z \ ((x * y) \ 1)) * (y * (((y \ x) * (y * z)) * u)) = L(u,(y \ x) * (y * z),y).
(x \ (y \ (z \ 1))) * (y * (((y \ z) * (y * x)) * u)) = L(u,(y \ z) * (y * x),y).
(1 * x) \ (K(y,z) * (((K(y,z) \ K(z,y)) * (K(y,z) * x)) * u)) = L(u,(K(y,z) \ K(z,y)) * (K(y,z) * x),K(y,z)).
x \ (K(y,z) * (((K(y,z) \ K(z,y)) * (K(y,z) * x)) * u)) = L(u,(K(y,z) \ K(z,y)) * (K(y,z) * x),K(y,z)).
x \ (K(y,z) * (((K(z,y) * K(z,y)) * (K(y,z) * x)) * u)) = L(u,(K(y,z) \ K(z,y)) * (K(y,z) * x),K(y,z)).
x \ (K(y,z) * ((K(z,y) * (K(z,y) * (K(y,z) * x))) * u)) = L(u,(K(y,z) \ K(z,y)) * (K(y,z) * x),K(y,z)).
x \ (K(y,z) * ((K(z,y) * x) * u)) = L(u,(K(y,z) \ K(z,y)) * (K(y,z) * x),K(y,z)).
x \ (K(y,z) * ((K(z,y) * x) * u)) = L(u,(K(z,y) * K(z,y)) * (K(y,z) * x),K(y,z)).
x \ (K(y,z) * ((K(z,y) * x) * u)) = L(u,K(z,y) * (K(z,y) * (K(y,z) * x)),K(y,z)).
x \ (K(y,z) * ((K(z,y) * x) * u)) = L(u,K(z,y) * x,K(y,z)).
x * (x * (y * (x * (x * (y * (z \ ((y * (x * (x * (y / z)))) \ 1))))))) = x * x.
x * (x * (y * (x * (x * (y * (z \ ((x * (x * (y / z))) \ (y \ 1)))))))) = x * x.
x * (x * (y * (x * (x * (y * (z \ ((y / z) \ (x \ (x \ (y \ 1)))))))))) = x * x.
(x * (x * y)) \ (x * (x * (x * ((x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y))))) * u)))) = L(u,x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y)))),x * (x * x)).
(x * (x * y)) \ (x * (x * (x * ((x * (x * (x * (z \ ((x * (x / z)) \ (x \ (x \ y))))))) * u)))) = L(u,x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y)))),x * (x * x)).
(x * (x * y)) \ (x * (x * (x * ((x * (x * (x \ (x \ (x \ y))))) * u)))) = L(u,x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y)))),x * (x * x)).
(x * (x * y)) \ (x * (x * (x * ((x * (x \ (x \ y))) * u)))) = L(u,x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y)))),x * (x * x)).
(x * (x * y)) \ (x * (x * (x * ((x \ y) * u)))) = L(u,x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y)))),x * (x * x)).
(x * (x * y)) \ (x * ((x * y) * u)) = L(u,x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y)))),x * (x * x)).
L(u,x * y,x) = L(u,x * (x * (x * (z \ ((x * (x * (x * (x / z)))) \ y)))),x * (x * x)).
L(u,x * y,x) = L(u,x * (x * (x * (z \ ((x * (x / z)) \ (x \ (x \ y)))))),x * (x * x)).
L(u,x * y,x) = L(u,x * (x * (x \ (x \ (x \ y)))),x * (x * x)).
L(u,x * y,x) = L(u,x * (x \ (x \ y)),x * (x * x)).
L(u,x * y,x) = L(u,x \ y,x * (x * x)).
L(u,x * y,x) = L(u,x \ y,x).
L(x,y \ z,y) = L(x,y * z,y).
L(x,y \ 1,z * y) = L(x,y * z,y).
1 \ ((x / y) * ((y / x) * z)) = L(z,y / x,x / y).
(x / y) * ((y / x) * z) = L(z,y / x,x / y).
x * (y / z) = x / (z / y).
x / (y / z) = x * (z / y).
L(x,y / z,z / y) = x.
(x / y) * z = (y / x) \ z.
(x / y) \ z = (y / x) * z.
((x * y) / z) * (z / y) = R(x,y,z \ 1).
(x / y) * ((y / x) * z) = z.
x * (x * (y * (x * (x * (y * (z \ ((z / y) * (x \ (x \ (y \ 1)))))))))) = x * x.
R(x,y \ 1,(y / x) * z) = R(x,y \ 1,z).
L(K(x,y),(y / x) * (x * x),y / x) = x \ (x \ ((x / y) * (x * y))).
L(K(x,y),(y / x) * (x * x),y / x) = x \ (x \ (x * ((y \ x) * y))).
L(K(x,y),(y / x) * (x * x),y / x) = x \ (x \ (x * T(x,y))).
L(K(x,y),(y / x) * (x * x),y / x) = x \ T(x,y).
L((x / y) * z,y / x,y) = x * (y \ z).
(x / y) * (y * (x \ z)) = L(z,x \ 1,y).
(x * y) \ (x * (y * (y \ z))) = ((x / z) * y) \ x.
(x * y) \ (x * z) = ((x / z) * y) \ x.
((x / y) * z) \ x = (x * z) \ (x * y).
x * (T(x \ y,x) * (x * z)) = (T(y,x) * x) * z.
(x \ y) * (x * (x * z)) = (T(y,x) * x) * z.
(x \ y) * (x * (x * z)) = T(y * x,x) * z.
T(x,T(z * y,y) * x) = T(x,T(y * z,y * (y * x))).
T(x,T(T(z * y,y),x)) = T(x,T(y * z,y * (y * x))).
T(x,T(y * z,y * (y * x))) = T(x,T(T(z * y,y),x)).
(T(y * x,x) * z) / T(z,T(x * y,x * (x * z))) = T(x * y,x * (x * z)).
(T(y * x,x) * z) / T(z,T(T(y * x,x),z)) = T(x * y,x * (x * z)).
T(T(y * x,x),z) = T(x * y,x * (x * z)).
T(x * y,x * (x * z)) = T(T(y * x,x),z).
T(T((x * y) * x,x),y / z) = T(x * (x * y),z \ 1).
T(T(x * (y * x),x),y / z) = T(x * (x * y),z \ 1).
T((y * x) * x,y / z) = T(x * (x * y),z \ 1).
T(x * (y * y),x / z) = T(y * (y * x),z \ 1).
T(x * (x * y),y \ z) = T(T((x * y) * x,x),z).
T(x * (x * y),y \ z) = T(T(x * (y * x),x),z).
T(x * (x * y),y \ z) = T((y * x) * x,z).
T(x * (x * y),y \ z) = T(y * (x * x),z).
L(T(x * y,x * z),L(y \ z,y,x),u) = (u * L(y \ z,y,x)) \ (u * (x * z)).
(x \ y) \ ((z * z) * y) = T((z * z) * x,(z * z) * y).
(x \ y) \ (z * (z * y)) = T((z * z) * x,(z * z) * y).
(y \ x) * (z * (z * y)) = T((z * z) * x,(z * z) * y).
(y \ x) * (z * (z * y)) = T(z * (z * x),(z * z) * y).
(y \ x) * (z * (z * y)) = T(z * (z * x),z * (z * y)).
(y \ x) * (z * (z * y)) = T(T((z * x) * z,z),y).
(y \ x) * (z * (z * y)) = T(T(z * (x * z),z),y).
(y \ x) * (z * (z * y)) = T((x * z) * z,y).
(x \ y) * (z * (z * x)) = T(y * (z * z),x).
(x * x) \ (y \ 1) = L(((x \ z) / y) / T(x * z,y \ 1),x,x).
x \ (x \ (y \ 1)) = L(((x \ z) / y) / T(x * z,y \ 1),x,x).
x \ (x \ (y \ 1)) = ((x \ z) / y) / T(x * z,y \ 1).
((x \ y) / z) / T(x * y,z \ 1) = x \ (x \ (z \ 1)).
R(x,x * (((x \ y) / z) / T(x * y,z \ 1)),(z \ 1) \ u) = u / ((x * (((x \ y) / z) / T(x * y,z \ 1))) * ((x * (x * (((x \ y) / z) / T(x * y,z \ 1)))) \ u)).
R(x,x * (x \ (x \ (z \ 1))),(z \ 1) \ u) = u / ((x * (((x \ y) / z) / T(x * y,z \ 1))) * ((x * (x * (((x \ y) / z) / T(x * y,z \ 1)))) \ u)).
R(x,x \ (z \ 1),(z \ 1) \ u) = u / ((x * (((x \ y) / z) / T(x * y,z \ 1))) * ((x * (x * (((x \ y) / z) / T(x * y,z \ 1)))) \ u)).
R(x,x \ (z \ 1),(1 \ z) * u) = u / ((x * (((x \ y) / z) / T(x * y,z \ 1))) * ((x * (x * (((x \ y) / z) / T(x * y,z \ 1)))) \ u)).
R(x,x \ (z \ 1),z * u) = u / ((x * (((x \ y) / z) / T(x * y,z \ 1))) * ((x * (x * (((x \ y) / z) / T(x * y,z \ 1)))) \ u)).
R(x,x \ (z \ 1),z * u) = u / ((x * (x \ (x \ (z \ 1)))) * ((x * (x * (((x \ y) / z) / T(x * y,z \ 1)))) \ u)).
R(x,x \ (z \ 1),z * u) = u / ((x \ (z \ 1)) * ((x * (x * (((x \ y) / z) / T(x * y,z \ 1)))) \ u)).
R(x,x \ (z \ 1),z * u) = u / ((x \ (z \ 1)) * ((x * (x * (x \ (x \ (z \ 1))))) \ u)).
R(x,x \ (z \ 1),z * u) = u / ((x \ (z \ 1)) * ((x * (x \ (z \ 1))) \ u)).
R(x,x \ (z \ 1),z * u) = u / ((x \ (z \ 1)) * ((z \ 1) \ u)).
R(x,x \ (z \ 1),z * u) = u / ((x \ (z \ 1)) * ((1 \ z) * u)).
R(x,x \ (y \ 1),y * z) = z / ((x \ (y \ 1)) * (y * z)).
(((x \ y) * z) * u) / (((y \ (x \ 1)) * (y * z)) * u) = R(y,(y \ (x \ 1)) * (y * z),u).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6) = (v6 * (v5 / L(L(x,y,z),u,w))) \ (v6 * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6 * (v6 * v7)) = (v6 * (v6 * (v7 * (v5 / L(L(x,u,w),y,z))))) \ ((v6 * (v6 * v7)) * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v7) = (v6 * (v6 * (v7 * (v5 / L(L(x,u,w),y,z))))) \ ((v6 * (v6 * v7)) * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v7) = (v6 * (v6 * (v7 * (v5 / L(L(x,u,w),y,z))))) \ (v6 * (v6 * (v7 * v5))).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v7) = ((v6 * (v7 * (v5 / L(L(x,u,w),y,z)))) \ v6) * (v7 * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v7) = ((v7 * (v5 / L(L(x,u,w),y,z))) \ 1) * (v7 * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v7) = ((v5 / L(L(x,u,w),y,z)) \ (v7 \ 1)) * (v7 * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v7) = ((L(L(x,u,w),y,z) / v5) * (v7 \ 1)) * (v7 * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6) = ((L(L(x,u,w),y,z) / v5) / v6) * (v6 * v5).
T(T(x,x * y),y \ 1) = x.
T(T(x,y),y \ 1) = x.
K(x * y,x) \ (y * K(x * y,x)) = y.
K(x * y,x) \ T(y,x) = y.
K(x,x * y) * T(y,x) = y.
(x * (x * (x * ((x \ y) * (x * z))))) \ (x * ((x * ((y * x) * z)) * u)) = L(u,(x \ y) * (x * z),x * (x * x)).
(x * (x * ((y * x) * z))) \ (x * ((x * ((y * x) * z)) * u)) = L(u,(x \ y) * (x * z),x * (x * x)).
L(u,x * ((y * x) * z),x) = L(u,(x \ y) * (x * z),x * (x * x)).
L(u,x * ((y * x) * z),x) = L(u,(x \ y) * (x * z),x).
L(x,(y \ z) * (y * u),y) = L(x,y * ((z * y) * u),y).
(x \ (y \ (z \ 1))) * (y * (((y \ z) * (y * x)) * u)) = L(u,y * ((z * y) * x),y).
(x * (y \ z)) * (((y \ z) \ u) * 1) = (y \ z) * (((y \ z) \ x) * ((u * (y \ z)) * (z \ y))).
(x * (y \ z)) * (((z \ y) * u) * 1) = (y \ z) * (((y \ z) \ x) * ((u * (y \ z)) * (z \ y))).
(x * (y \ z)) * ((z \ y) * u) = (y \ z) * (((y \ z) \ x) * ((u * (y \ z)) * (z \ y))).
(x * (y \ z)) * ((z \ y) * u) = (y \ z) * (((z \ y) * x) * ((u * (y \ z)) * (z \ y))).
(x * (y \ z)) * ((z \ y) * u) = (y \ z) * (((z \ y) * x) * u).
(1 \ (x \ (y \ 1))) * (x * (((x \ y) * x) * z)) = L(z,x * ((y * x) * 1),x).
(x \ (y \ 1)) * (x * (((x \ y) * x) * z)) = L(z,x * ((y * x) * 1),x).
(x \ (y \ 1)) * (x * (T(y,x) * z)) = L(z,x * ((y * x) * 1),x).
(x \ (y \ 1)) * (y * (x * z)) = L(z,x * ((y * x) * 1),x).
L(z,x,y) = L(z,x * ((y * x) * 1),x).
L(z,x,y) = L(z,x * (y * x),x).
L(x,y * (z * y),y) = L(x,y,z).
(K(x,y) \ (K(y,x) \ (z \ 1))) * (K(y,x) * (((K(y,x) \ z) * 1) * u)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
(K(x,y) \ (K(x,y) * (z \ 1))) * (K(y,x) * (((K(y,x) \ z) * 1) * u)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
(K(x,y) \ (K(x,y) / z)) * (K(y,x) * (((K(y,x) \ z) * 1) * u)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
(z \ 1) * (K(y,x) * (((K(y,x) \ z) * 1) * u)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
(z \ 1) * (K(y,x) * (((K(x,y) * z) * 1) * u)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
(z \ 1) * (K(y,x) * ((K(x,y) * z) * u)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
z \ (K(y,x) * ((K(x,y) * z) * u)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
L(u,K(x,y) * z,K(y,x)) = L(u,K(y,x) * ((z * K(y,x)) * K(x,y)),K(y,x)).
L(x,K(y,z) * u,K(z,y)) = L(x,K(z,y) * u,K(z,y)).
T(x,T(x,y) \ 1) = x.
(T(x,y) \ 1) \ (x * (T(x,y) \ 1)) = x.
(T(x,y) \ 1) \ (x / T(x,y)) = x.
(T(x,y) \ 1) \ K(x \ y,x) = x.
(1 \ T(x,y)) * K(x \ y,x) = x.
T(x,y) * K(x \ y,x) = x.
x * (x * (y \ 1)) = (x * x) / y.
x * (x / y) = (x * x) / y.
(x * x) / y = x * (x / y).
((x * x) * (y * (x * (x * z)))) \ ((x * x) * (y * ((x * x) * (z * u)))) = L(u,z,(x * x) * (y * (x * x))).
(x * (x * (y * (x * (x * z))))) \ ((x * x) * (y * ((x * x) * (z * u)))) = L(u,z,(x * x) * (y * (x * x))).
(x * (x * (y * (x * (x * z))))) \ ((x * x) * (y * (x * (x * (z * u))))) = L(u,z,(x * x) * (y * (x * x))).
(x * (x * (y * (x * (x * z))))) \ (x * (x * (y * (x * (x * (z * u)))))) = L(u,z,(x * x) * (y * (x * x))).
((x * (y * (x * (x * z)))) \ x) * (y * (x * (x * (z * u)))) = L(u,z,(x * x) * (y * (x * x))).
((y * (x * (x * z))) \ 1) * (y * (x * (x * (z * u)))) = L(u,z,(x * x) * (y * (x * x))).
((x * (x * z)) \ (y \ 1)) * (y * (x * (x * (z * u)))) = L(u,z,(x * x) * (y * (x * x))).
(z \ (x \ (x \ (y \ 1)))) * (y * (x * (x * (z * u)))) = L(u,z,(x * x) * (y * (x * x))).
L(u,x * (x * z),y) = L(u,z,(x * x) * (y * (x * x))).
L(u,x * (x * z),y) = L(u,z,x * (x * (y * (x * x)))).
L(x,y * (y * z),u) = L(x,z,u * (y * y)).
((x * x) * (y * (x * (x * (z * u))))) \ (((x * x) * (y * ((x * x) * z))) * u) = a((x * x) * (y * (x * x)),z,u).
(x * (x * (y * (x * (x * (z * u)))))) \ (((x * x) * (y * ((x * x) * z))) * u) = a((x * x) * (y * (x * x)),z,u).
(x * (x * (y * (x * (x * (z * u)))))) \ (((x * x) * (y * (x * (x * z)))) * u) = a((x * x) * (y * (x * x)),z,u).
(x * (x * (y * (x * (x * (z * u)))))) \ ((x * (x * (y * (x * (x * z))))) * u) = a((x * x) * (y * (x * x)),z,u).
(x * (x * (y * (x * (x * (z * u)))))) \ (x * (x * ((y * (x * (x * z))) * u))) = a((x * x) * (y * (x * x)),z,u).
((x * (y * (x * (x * (z * u))))) \ x) * ((y * (x * (x * z))) * u) = a((x * x) * (y * (x * x)),z,u).
((y * (x * (x * (z * u)))) \ 1) * ((y * (x * (x * z))) * u) = a((x * x) * (y * (x * x)),z,u).
((x * (x * (z * u))) \ (y \ 1)) * ((y * (x * (x * z))) * u) = a((x * x) * (y * (x * x)),z,u).
((z * u) \ (x \ (x \ (y \ 1)))) * ((y * (x * (x * z))) * u) = a((x * x) * (y * (x * x)),z,u).
a(y,x * (x * z),u) = a((x * x) * (y * (x * x)),z,u).
a(y,x * (x * z),u) = a(x * (x * (y * (x * x))),z,u).
a(y,x * (x * z),u) = a(y * (x * x),z,u).
a(x * (y * y),z,u) = a(x,y * (y * z),u).
L(x,y,y * (z * z)) = x.
((x / y) * (x / y)) \ z = L((y * z) / T(x * (y \ x),z),x / y,x / y).
(x / y) \ ((x / y) \ z) = L((y * z) / T(x * (y \ x),z),x / y,x / y).
(x / y) \ ((y / x) * z) = L((y * z) / T(x * (y \ x),z),x / y,x / y).
(y / x) * ((y / x) * z) = L((y * z) / T(x * (y \ x),z),x / y,x / y).
(y / x) * ((y / x) * z) = (y * z) / T(x * (y \ x),z).
(x * y) / T(z * (x \ z),y) = (x / z) * ((x / z) * y).
((x / y) * ((x / y) * ((x / y) * (((y * z) / T(x * (y \ x),z)) * u)))) \ (((x / y) * z) * u) = a((x / y) * ((x / y) * (x / y)),(y * z) / T(x * (y \ x),z),u).
((x / y) * ((x / y) * ((x / y) * (((y / x) * ((y / x) * z)) * u)))) \ (((x / y) * z) * u) = a((x / y) * ((x / y) * (x / y)),(y * z) / T(x * (y \ x),z),u).
((x / y) * ((x / y) * ((x / y) * ((y / x) * ((y / x) * (z * u)))))) \ (((x / y) * z) * u) = a((x / y) * ((x / y) * (x / y)),(y * z) / T(x * (y \ x),z),u).
((x / y) * ((x / y) * ((y / x) * (z * u)))) \ (((x / y) * z) * u) = a((x / y) * ((x / y) * (x / y)),(y * z) / T(x * (y \ x),z),u).
((x / y) * (z * u)) \ (((x / y) * z) * u) = a((x / y) * ((x / y) * (x / y)),(y * z) / T(x * (y \ x),z),u).
a(x / y,z,u) = a((x / y) * ((x / y) * (x / y)),(y * z) / T(x * (y \ x),z),u).
a(x / y,z,u) = a((x / y) * ((x / y) * (x / y)),(y / x) * ((y / x) * z),u).
a(x / y,z,u) = a(x / y,(y / x) * ((y / x) * z),u).
a(x / y,(y / x) * ((y / x) * z),u) = a(x / y,z,u).
x * (T(T(x,y) \ (y \ x),y \ x) * (T(T(x,y),y \ x) * z)) = (T(x,y) * (y \ x)) * z.
x * (T(y \ 1,y \ x) * (T(T(x,y),y \ x) * z)) = (T(x,y) * (y \ x)) * z.
x * (T(y \ 1,x) * (T(T(x,y),y \ x) * z)) = (T(x,y) * (y \ x)) * z.
x * (T(y \ 1,x) * (x * z)) = (T(x,y) * (y \ x)) * z.
(y \ 1) * (x * (x * z)) = (T(x,y) * (y \ x)) * z.
y \ (x * (x * z)) = (T(x,y) * (y \ x)) * z.
x \ (y * (y * z)) = ((x \ y) * y) * z.
((x * y) \ x) * ((y * z) * x) = (z * ((x * y) \ x)) * T(x * y,x).
(y \ 1) * ((y * z) * x) = (z * ((x * y) \ x)) * T(x * y,x).
y \ ((y * z) * x) = (z * ((x * y) \ x)) * T(x * y,x).
y \ ((y * z) * x) = (z * (y \ 1)) * T(x * y,x).
y \ ((y * z) * x) = (z / y) * T(x * y,x).
x \ ((x * y) * z) = (y / x) * (x * z).
x \ ((x / y) * (y * z)) = L(z,y * x,y).
L(z,y,x) = L(z,y * x,y).
L(x,y * z,y) = L(x,y,z).
L(x,K(y,z) * u,K(z,y)) = L(x,K(z,y),u).
L(x,y,z * y) = L(x,y,z).
L(K(x,y),y / x,x * x) = x \ T(x,y).
K(x,y) = x \ T(x,y).
x \ T(x,y) = K(x,y).
L(x,y \ 1,z * y) = L(x,y,z).
L(x,y \ z,y) = L(x,y,z).
L((x * y) \ z,x,y) = y \ (x \ z).
L(L(x,y,z),z,y) = x.
K(x \ y,x) = K(y,x).
T(x,y) * K(y,x) = x.
K(y,x) = K(y,y * x).
K(x,x * y) = K(x,y).
K(x,y) * T(y,x) = y.
(x * (y \ z)) * (L(z \ y,y \ z,x) * ((x * (y \ z)) * u)) = (x * ((1 * x) * (y \ z))) * u.
(x * (y \ z)) * ((z \ y) * ((x * (y \ z)) * u)) = (x * ((1 * x) * (y \ z))) * u.
(y \ z) * (((z \ y) * x) * ((x * (y \ z)) * u)) = (x * ((1 * x) * (y \ z))) * u.
(y \ z) * (((z \ y) * x) * ((x * (y \ z)) * u)) = (x * (x * (y \ z))) * u.
(x \ y) * (((y \ x) * z) * ((z * (x \ y)) * u)) = z * (z * ((x \ y) * u)).
L(x,y,x \ 1) = x.
L(x,x \ y,y) = x.
R(x,y,z) = L(R(x,y,z),u,x \ 1).
L(R(x,y,z),u,x \ 1) = R(x,y,z).
a(x,y \ x,y) = 1.
a(x,x * (y * x),x * y) = 1.
a(y * x,x,y) \ 1 = 1.
a(x,y,y * x) = 1.
(((x \ y) * z) * ((z * (y \ x)) * T(y,x))) / x = ((x \ y) * z) * ((y \ x) * ((x \ y) * z)).
(((x \ y) * z) * ((z * (y \ x)) * T(y,x))) / x = ((x \ y) * z) * z.
(((x \ y) * z) * ((z * (y \ x)) * T(y,x))) / x = (x \ y) * (z * z).
x \ y = (T(T(z,y),u) * (y * ((T(z,u) * (y * y)) \ x))) \ 1.
x \ y = (y * ((T(z,u) * (y * y)) \ x)) \ (T(T(z,y),u) \ 1).
(x * ((T(y,z) * (x * x)) \ u)) \ (T(T(y,x),z) \ 1) = u \ x.
x / T(y * (y * z),(T(T(u,x),w) * (x * ((T(u,w) * (x * x)) \ z))) \ 1) = y \ (y \ ((T(T(u,x),w) * (x * ((T(u,w) * (x * x)) \ z))) \ 1)).
x / T(y * (y * z),(x * ((T(u,w) * (x * x)) \ z)) \ (T(T(u,x),w) \ 1)) = y \ (y \ ((T(T(u,x),w) * (x * ((T(u,w) * (x * x)) \ z))) \ 1)).
x / T(y * (y * z),z \ x) = y \ (y \ ((T(T(u,x),w) * (x * ((T(u,w) * (x * x)) \ z))) \ 1)).
x / T(z * (y * y),x) = y \ (y \ ((T(T(u,x),w) * (x * ((T(u,w) * (x * x)) \ z))) \ 1)).
(z * (y * y)) \ x = y \ (y \ ((T(T(u,x),w) * (x * ((T(u,w) * (x * x)) \ z))) \ 1)).
(z * (y * y)) \ x = y \ (y \ ((x * ((T(u,w) * (x * x)) \ z)) \ (T(T(u,x),w) \ 1))).
(x * (y * y)) \ z = y \ (y \ (x \ z)).
1 \ ((x * y) * (y * x)) = T(x * (y * (y * x)),a(x,y,y * x)).
(x * y) * (y * x) = T(x * (y * (y * x)),a(x,y,y * x)).
(x * y) * (y * x) = T(x * (y * (y * x)),1).
(x * y) * (y * x) = x * (y * (y * x)).
((x * (y * (z * (z * y)))) * u) / (((z * y) * (y * z)) * u) = R(x,(y * z) * (z * y),u).
((x * (y * (z * (z * y)))) * u) / ((z * (y * (y * z))) * u) = R(x,(y * z) * (z * y),u).
((x * (y * (z * (z * y)))) * u) / (z * (y * (y * (z * u)))) = R(x,(y * z) * (z * y),u).
((x * (y * (z * (z * y)))) * u) / (z * (y * (y * (z * u)))) = R(x,y * (z * (z * y)),u).
(x * ((y * (z * (z * y))) * u)) * a(x,(z * y) * (y * z),u) = (x * ((z * y) * (y * z))) * u.
(x * (y * (z * (z * (y * u))))) * a(x,(z * y) * (y * z),u) = (x * ((z * y) * (y * z))) * u.
(x * (y * (z * (z * (y * u))))) * a(x,z * (y * (y * z)),u) = (x * ((z * y) * (y * z))) * u.
(x * (y * (z * (z * (y * u))))) * a(x,z * (y * (y * z)),u) = (x * (z * (y * (y * z)))) * u.
x * (T(x,y) * z) = T(x,y) * ((K(y,x) * T(x,y)) * z).
x * (T(x,y) * z) = T(x,y) * (x * z).
T(x,y) * (x * z) = x * (T(x,y) * z).
L(x,y / z,y) = z * (y \ ((z / y) \ x)).
L(x,y / z,y) = z * (y \ ((y / z) * x)).
x * (y \ ((y / x) * z)) = L(z,y / x,y).
x * (x * (y * (x * (x * L(x \ (x \ (y \ 1)),z / y,z))))) = x * x.
R(x,y * (y * z),z \ (y \ (y \ (z * u)))) = R(x,z,u).
R(x,y * (y * z),z \ ((y \ (y \ z)) * u)) = R(x,z,u).
R(x,y * (y * (z * u)),(z * u) \ (y \ (y \ (z * (u * w))))) = R(x,z * u,L(w,u,z)).
R(x,y * (y * (z * u)),(z * u) \ ((y \ (y \ z)) * (u * w))) = R(x,z * u,L(w,u,z)).
R(x,y,y \ z) * (u * (u * (y * (y \ (u \ (u \ z)))))) = (x * (u * (u * y))) * (y \ (u \ (u \ z))).
R(x,y,y \ z) * (u * (u * (u \ (u \ z)))) = (x * (u * (u * y))) * (y \ (u \ (u \ z))).
R(x,y,y \ z) * (u * (u \ z)) = (x * (u * (u * y))) * (y \ (u \ (u \ z))).
R(x,y,y \ z) * z = (x * (u * (u * y))) * (y \ (u \ (u \ z))).
y * ((y \ x) * z) = (x * (u * (u * y))) * (y \ (u \ (u \ z))).
(x * (y * (y * z))) * (z \ (y \ (y \ u))) = z * ((z \ x) * u).
R(x,y * (y * (z * u)),(z * u) \ (y \ (y \ (z * w)))) = R(x,z * u,L(u \ w,u,z)).
R(x,y * (y * (z * u)),(z * u) \ ((y \ (y \ z)) * w)) = R(x,z * u,L(u \ w,u,z)).
R(x,y * (y * ((y \ (y \ z)) * u)),u \ 1) = R(x,(y \ (y \ z)) * u,((y \ (y \ z)) * u) \ z).
R(x,y * (y \ (z * u)),u \ 1) = R(x,(y \ (y \ z)) * u,((y \ (y \ z)) * u) \ z).
R(x,z * u,u \ 1) = R(x,(y \ (y \ z)) * u,((y \ (y \ z)) * u) \ z).
R(x,(y \ (y \ z)) * u,((y \ (y \ z)) * u) \ z) = R(x,z * u,u \ 1).
R(x,(y * z) * (z * y),K(z,y) \ ((y * z) \ ((y * z) \ u))) = R(x,K(z,y),K(z,y) \ u).
R(x,y * (z * (z * y)),K(z,y) \ ((y * z) \ ((y * z) \ u))) = R(x,K(z,y),K(z,y) \ u).
R(x,y * (z * (z * y)),K(y,z) * ((y * z) \ ((y * z) \ u))) = R(x,K(z,y),K(z,y) \ u).
R(x,y * (z * (z * y)),K(y,z) * ((y * z) \ ((y * z) \ u))) = R(x,K(z,y),K(y,z) * u).
(x \ y) \ (z * (z * ((x \ y) * u))) = ((y \ x) * z) * ((z * (x \ y)) * u).
(((x \ y) \ z) * z) * ((x \ y) * u) = ((y \ x) * z) * ((z * (x \ y)) * u).
(((y \ x) * z) * z) * ((x \ y) * u) = ((y \ x) * z) * ((z * (x \ y)) * u).
((y \ x) * (z * z)) * ((x \ y) * u) = ((y \ x) * z) * ((z * (x \ y)) * u).
(y \ x) * (z * (z * ((x \ y) * u))) = ((y \ x) * z) * ((z * (x \ y)) * u).
((x \ y) * z) * ((z * (y \ x)) * u) = (x \ y) * (z * (z * ((y \ x) * u))).
((x \ y) * (z * (z * ((y \ x) * T(y,x))))) / x = (x \ y) * (z * z).
((x \ y) * (z * (z * x))) / x = (x \ y) * (z * z).
T(y * (z * z),x) / x = (x \ y) * (z * z).
x \ (y * (z * z)) = (x \ y) * (z * z).
x \ ((x * y) * z) = x * ((x \ y) * z).
(x / y) * (y * z) = y * ((y \ x) * z).
L((x * ((x \ y) * z)) \ u,x * ((x \ y) * z),x) = ((x * y) * z) \ (x * u).
L((x * ((x \ y) * z)) \ u,x,(x \ y) * z) = ((x * y) * z) \ (x * u).
((x \ y) * z) \ (x \ u) = ((x * y) * z) \ (x * u).
L(x \ (y * ((y \ z) * u)),x,y) = (y * x) \ ((y * z) * u).
(x \ y) * ((y \ z) * u) = (y * x) \ ((y * z) * u).
(x * y) \ ((x * z) * u) = (y \ x) * ((x \ z) * u).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6) = v6 * ((v6 \ (L(L(x,u,w),y,z) / v5)) * v5).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6) = R(L(L(x,u,w),y,z),v5 \ 1,v6).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6) = L(R(L(x,u,w),v5 \ 1,v6),y,z).
L(L(L(x,y,z),u,w),v5 / L(L(x,u,w),y,z),v6) = L(L(R(x,v5 \ 1,v6),u,w),y,z).
x * ((x \ y) * (y \ z)) = L(z,y \ 1,x).
(y * ((y \ x) * z)) / z = R(x,y \ 1,y * z).
R(x,y,y \ z) = R(x,y \ 1,y * z).
R(x,y \ 1,y * z) = R(x,y,y \ z).
(y * ((y \ x) * z)) \ (x * z) = a(x / y,y,z).
a(y,y * x,z) = a(x / y,y,z).
a(x / y,y,z) = a(y,y * x,z).
L(L(R(x,v5 \ 1,v6),u,w),y,z) = (v6 * (v5 / L(L(x,y,z),u,w))) \ (v6 * v5).
(x * (y / L(L(z,u,w),v5,v6))) \ (x * y) = L(L(R(z,y \ 1,x),v5,v6),u,w).
R(x,x \ y,z) = L(x,y \ 1,z).
R(L(z,y \ 1,x),z,z \ u) = (z * (a(y,x,x \ (y \ z)) * u)) / u.
L(R(z,z,z \ u),y \ 1,x) = (z * (a(y,x,x \ (y \ z)) * u)) / u.
L(z,y \ 1,x) = (z * (a(y,x,x \ (y \ z)) * u)) / u.
(x * (a(y,z,z \ (y \ x)) * u)) / u = L(x,y \ 1,z).
R(x,y,y \ ((x \ y) * z)) = L(x,y \ 1,z).
((x / (y * (y * z))) * (y * (y * (z * u)))) \ (x * u) = a(y * (y * z),(y * (y * z)) * x,u).
((x / (y * (y * z))) * (y * (y * (z * u)))) \ (x * u) = a(y * (y * z),y * (y * (z * x)),u).
((x / (y * (y * z))) * (y * (y * (z * u)))) \ (x * u) = a(z,y * (y * (z * x)),u).
L(x,y \ 1,z) = (y * z) / ((x \ y) * z).
(x * y) / ((z \ x) * y) = L(z,x \ 1,y).
(x * x) \ y = L(z / T(x * (x * (z / y)),y),x,x).
x \ (x \ y) = L(z / T(x * (x * (z / y)),y),x,x).
x \ (x \ y) = z / T(x * (x * (z / y)),y).
x / T(y * (y * (x / z)),z) = y \ (y \ z).
(x * y) \ (x * (x * (x * ((z / T(x * (x * (z / y)),y)) * u)))) = L(u,z / T(x * (x * (z / y)),y),x * (x * x)).
(x * y) \ (x * (x * (x * ((x \ (x \ y)) * u)))) = L(u,z / T(x * (x * (z / y)),y),x * (x * x)).
(x * y) \ (x * (x * (x \ (y * u)))) = L(u,z / T(x * (x * (z / y)),y),x * (x * x)).
(x * y) \ (x * (y * u)) = L(u,z / T(x * (x * (z / y)),y),x * (x * x)).
L(u,y,x) = L(u,z / T(x * (x * (z / y)),y),x * (x * x)).
L(u,y,x) = L(u,x \ (x \ y),x * (x * x)).
L(u,y,x) = L(u,x \ (x \ y),x).
L(u,y,x) = L(u,x,x \ y).
L(x,y,y \ z) = L(x,z,y).
T(x,y) * (x * z) = (T(x,y) * x) * z.
x * (T(x,y) * z) = (T(x,y) * x) * z.
x * (T(x,y) * z) = (x * T(x,y)) * z.
(x * T(x,y)) * z = x * (T(x,y) * z).
x \ ((y \ x) * z) = (x \ (y \ 1)) * (x * z).
(x \ (y \ 1)) * (x * z) = x \ ((y \ x) * z).
(((x \ y) * z) * u) / ((y \ ((x \ y) * z)) * u) = R(y,(y \ (x \ 1)) * (y * z),u).
L(y,((x \ y) * z) \ 1,u) = R(y,(y \ (x \ 1)) * (y * z),u).
L(y,z \ ((x \ y) \ 1),u) = R(y,(y \ (x \ 1)) * (y * z),u).
L(y,z \ ((y \ x) * 1),u) = R(y,(y \ (x \ 1)) * (y * z),u).
L(y,z \ (y \ x),u) = R(y,(y \ (x \ 1)) * (y * z),u).
L(y,z \ (y \ x),u) = R(y,y \ ((x \ y) * z),u).
R(x,x \ ((y \ x) * z),u) = L(x,z \ (x \ y),u).
(x \ (y \ (1 \ 1))) * z = (y * x) \ (1 \ (1 \ z)).
(x \ (y \ 1)) * z = (y * x) \ (1 \ (1 \ z)).
(x \ (y \ 1)) * z = (y * x) \ (1 \ z).
(x \ (y \ 1)) * z = (y * x) \ z.
(x \ (y \ (z \ 1))) * u = ((z \ y) * x) \ (z \ (z \ u)).
(x \ (y \ (z \ 1))) * u = ((z * y) * x) \ (z * (z \ u)).
(x \ (y \ (z \ 1))) * u = ((z * y) * x) \ u.
((x \ 1) \ ((y * z) \ (y \ 1))) * u = (z / x) \ (y \ (y \ u)).
((1 \ x) * ((y * z) \ (y \ 1))) * u = (z / x) \ (y \ (y \ u)).
(x * ((y * z) \ (y \ 1))) * u = (z / x) \ (y \ (y \ u)).
(x * ((y * z) \ (y \ 1))) * u = (x / z) * (y \ (y \ u)).
R(x,x \ (y \ 1),y * z) = z / ((y * x) \ (y * z)).
R(x,x \ (y \ 1),y * z) = z * ((y * z) \ (y * x)).
R(x,x \ (y \ 1),z) = (y \ z) / ((y * x) \ z).
R(x,x \ (y \ 1),z) = (y \ z) * (z \ (y * x)).
R(x,x \ (y \ 1),z) = L(x,y,z \ 1).
L(x,y,(y * z) \ 1) = z * ((y * z) \ (y * x)).
L(x,y,z \ (y \ 1)) = z * ((y * z) \ (y * x)).
x * ((y * x) \ (y * z)) = L(z,y,x \ (y \ 1)).
(x * (y * (y * z))) * ((y * (y * z)) \ u) = y * (y * (z * (((y * (y * z)) \ x) * u))).
(x * (y * (y * z))) * (z \ (y \ (y \ u))) = y * (y * (z * (((y * (y * z)) \ x) * u))).
z * ((z \ x) * u) = y * (y * (z * (((y * (y * z)) \ x) * u))).
z * ((z \ x) * u) = y * (y * (z * ((z \ (y \ (y \ x))) * u))).
x * (x * (y * ((y \ (x \ (x \ z))) * u))) = y * ((y \ z) * u).
(x \ y) * (y \ z) = y * ((y \ (x \ 1)) * z).
(x \ y) * (y \ z) = y * ((x * y) \ z).
y * ((y \ z) * (x * (x * u))) = (z * (x * (x * y))) * (y \ u).
(x * (y * (y * z))) * (z \ u) = z * ((z \ x) * (y * (y * u))).
x * (y * ((x * y) \ z)) = L(z,y \ 1,x).
y * ((x * y) \ (x * z)) = L(z,x,y \ 1).
L(x,y,z \ (y \ 1)) = L(x,y,z \ 1).
(z * ((z \ x) * (y * (y * u)))) / (y * (y * u)) = R(x,y * (y * z),z \ u).
R(x,z,z \ (y * (y * u))) = R(x,y * (y * z),z \ u).
R(x,z,((z \ y) * y) * u) = R(x,y * (y * z),z \ u).
R(x,y * (y * z),z \ u) = R(x,z,((z \ y) * y) * u).
x * a(y,z,z \ (y \ x)) = L(x,(z * y) \ 1,y).
x * a(y,z,z \ (y \ x)) = L(x,y \ (z \ 1),y).
x * a(y,z,z \ (y \ x)) = L(x,y,z \ 1).
x * ((y * x) \ (y * z)) = L(z,y,x \ 1).
L(L(R(x,y,z),u,w),v5,x \ 1) = L(R(x,y,z),u,w).
R(x,z * u,(((z * u) \ y) * y) * ((y \ (y \ z)) * w)) = R(x,z * u,L(u \ w,u,z)).
R(x,y * z,L(z \ u,z,y)) = R(x,y * z,(((y * z) \ w) * w) * ((w \ (w \ y)) * u)).
R(x,y * z,(((y * z) \ u) * u) * ((u \ (u \ y)) * (z * w))) = R(x,y * z,L(w,z,y)).
R(x,y,((y \ z) * z) * ((z \ (z \ y)) * u)) = R(x,y,u).
x \ (y \ (y \ 1)) = (y * x) \ (y \ 1).
(x * y) \ (x \ 1) = y \ (x \ (x \ 1)).
x \ (y \ (x \ 1)) = (y * x) \ (x \ 1).
(x * y) \ (y \ 1) = y \ (x \ (y \ 1)).
(x * (y \ (z \ (z \ 1)))) * u = (x / y) * (z \ (z \ u)).
x / (y * (y * (z * x))) = z \ (y \ (y \ 1)).
x / (y * (z * (y * x))) = y \ (z \ (y \ 1)).
(x * y) \ ((x * z) * ((z \ 1) * y)) = a(x,x * z,(x * z) \ y).
(x * y) \ ((x * z) * (z \ y)) = a(x,x * z,(x * z) \ y).
(x * y) \ (z * ((z \ x) * y)) = a(x,x * z,(x * z) \ y).
a(x,z,z \ y) = a(x,x * z,(x * z) \ y).
a(x,x * y,(x * y) \ z) = a(x,y,y \ z).
L(L(L(x,y,z),u,w),v5 \ 1,v5 \ x) = L(L(x,y,z),u,w).
L(L(L(x,y,z),u,w),v5,v6) = L(L(L(L(x,u,w),y,z),v5,v6),v7 \ 1,v7 \ L(x,y,z)).
L(L(L(L(x,y,z),u,w),v5,v6),v7 \ 1,v7 \ L(x,u,w)) = L(L(L(x,u,w),y,z),v5,v6).
(x * (x * (y * (L((x * y) \ z,x * y,x) * u)))) \ ((x * z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
(x * (x * (y * (L((x * y) \ z,x,y) * u)))) \ ((x * z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
(x * (x * (y * ((y \ (x \ z)) * u)))) \ ((x * z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
((x * (y * ((y \ (x \ z)) * u))) \ x) * ((x \ z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
((y * ((y \ (x \ z)) * u)) \ 1) * ((x \ z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
(((y \ (x \ z)) * u) \ (y \ 1)) * ((x \ z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
(((y * (x \ z)) * u) \ (y * 1)) * ((x \ z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
(((y * (x \ z)) * u) \ y) * ((x \ z) * u) = a(x * (x * y),x * (((x * y) * x) * z),u).
a(y,y * (x \ z),u) = a(x * (x * y),x * (((x * y) * x) * z),u).
a(y,y * (x \ z),u) = a(x * (x * y),x * ((x * (y * x)) * z),u).
a(y,y * (x \ z),u) = a(x * (x * y),x * (x * (y * (x * z))),u).
a(y,y * (x \ z),u) = a(y,x * (x * (y * (x * z))),u).
a(x,y * (y * (x * (y * z))),u) = a(x,x * (y \ z),u).
L((x * (y / L(L(z,u,w),v5,v6))) \ (x * y),v7 \ 1,v7 \ L(z,v5,v6)) = L(L(L(z,v5,v6),u,w),y / L(L(z,u,w),v5,v6),x).
L(L(L(R(z,y \ 1,x),v5,v6),u,w),v7 \ 1,v7 \ L(z,v5,v6)) = L(L(L(z,v5,v6),u,w),y / L(L(z,u,w),v5,v6),x).
L(L(L(R(x,y \ 1,z),u,w),v5,v6),v7 \ 1,v7 \ L(x,u,w)) = L(L(R(x,y \ 1,z),v5,v6),u,w).
L(L(x,y,z),u \ 1,u \ L(x,w,v5)) = L(L(L(x,w,v5),v5,w),y,z).
L(L(x,y,z),u \ 1,u \ L(x,w,v5)) = L(x,y,z).
L(x,y * z,y * ((z * y) * y)) = x.
L(x,y * z,y * (z * (y * y))) = x.
L(x,K(y,z),K(z,y) * u) = L(x,u / K(z,y),K(z,y)).
L(x,K(y,z),K(z,y) * u) = L(x,u * K(y,z),K(z,y)).
L(x,y * K(z,u),K(u,z)) = L(x,K(z,u),K(u,z) * y).
L(x,K(y,z),K(z,y) * T(u,K(z,y))) = L(x,K(z,y) \ u,K(z,y)).
L(x,K(y,z),u * K(z,y)) = L(x,K(z,y) \ u,K(z,y)).
L(x,K(y,z),u * K(z,y)) = L(x,K(y,z) * u,K(z,y)).
L(x,K(y,z),u * K(z,y)) = L(x,K(z,y),u).
R((x * (y \ x)) * y,x * ((y \ x) * y),(x * ((y \ x) * y)) \ z) \ ((x * ((y \ x) * y)) * (1 * z)) = z.
R(x * (y \ (x * y)),x * ((y \ x) * y),(x * ((y \ x) * y)) \ z) \ ((x * ((y \ x) * y)) * (1 * z)) = z.
R(x * T(x,y),x * ((y \ x) * y),(x * ((y \ x) * y)) \ z) \ ((x * ((y \ x) * y)) * (1 * z)) = z.
R(x * T(x,y),x * T(x,y),(x * ((y \ x) * y)) \ z) \ ((x * ((y \ x) * y)) * (1 * z)) = z.
R(x * T(x,y),x * T(x,y),(x * T(x,y)) \ z) \ ((x * ((y \ x) * y)) * (1 * z)) = z.
(x * T(x,y)) \ ((x * ((y \ x) * y)) * (1 * z)) = z.
(x * T(x,y)) \ ((x * T(x,y)) * (1 * z)) = z.
(x * T(x,y)) \ ((x * T(x,y)) * z) = z.
(x * T(x,y)) \ (x * (T(x,y) * z)) = z.
L(x,T(y,z),y) = x.
L(L(L(R(x,y \ 1,(x * (y \ 1)) \ z),u,w),v5,v6),v7 \ 1,v7 \ L(x,u,w)) = L(L(z / ((y \ 1) * ((x * (y \ 1)) \ z)),v5,v6),u,w).
L(L(L(R(x,y \ 1,(x / y) \ z),u,w),v5,v6),v7 \ 1,v7 \ L(x,u,w)) = L(L(z / ((y \ 1) * ((x * (y \ 1)) \ z)),v5,v6),u,w).
L(L(L(R(x,y \ 1,(y / x) * z),u,w),v5,v6),v7 \ 1,v7 \ L(x,u,w)) = L(L(z / ((y \ 1) * ((x * (y \ 1)) \ z)),v5,v6),u,w).
L(L(L(R(x,y \ 1,z),u,w),v5,v6),v7 \ 1,v7 \ L(x,u,w)) = L(L(z / ((y \ 1) * ((x * (y \ 1)) \ z)),v5,v6),u,w).
L(L(R(x,y \ 1,z),v5,v6),u,w) = L(L(z / ((y \ 1) * ((x * (y \ 1)) \ z)),v5,v6),u,w).
L(L(R(x,y \ 1,z),v5,v6),u,w) = L(L(z / ((y \ 1) * ((x / y) \ z)),v5,v6),u,w).
L(L(R(x,y \ 1,z),v5,v6),u,w) = L(L(z / ((y \ 1) * ((y / x) * z)),v5,v6),u,w).
L(L(R(x,y \ 1,z),v5,v6),u,w) = L(L(z / (y \ ((y / x) * z)),v5,v6),u,w).
L(L(R(x,y \ 1,z),v5,v6),u,w) = L(L(z * (((y / x) * z) \ y),v5,v6),u,w).
L(L(R(x,y \ 1,z),v5,v6),u,w) = L(L(z * ((y * z) \ (y * x)),v5,v6),u,w).
L(L(R(x,y \ 1,z),u,w),v5,v6) = L(L(L(x,y,z \ 1),u,w),v5,v6).
L(R(x,y \ 1,z),u \ 1,u \ L(x,w,v5)) = L(L(R(x,y \ 1,z),v5,w),w,v5).
L(R(x,y \ 1,z),u \ 1,u \ L(x,w,v5)) = R(x,y \ 1,z).
L(L(L(R(x,y \ 1,z),u,x \ 1),w,v5),v6 \ 1,v6 \ x) = L(L(R(x,y \ 1,z),w,v5),u,x \ 1).
L(L(R(x,y \ 1,z),w,v5),v6 \ 1,v6 \ x) = L(L(R(x,y \ 1,z),w,v5),u,x \ 1).
L(L(L(x,y,z \ 1),w,v5),v6 \ 1,v6 \ x) = L(L(R(x,y \ 1,z),w,v5),u,x \ 1).
L(L(x,y,z \ 1),w,v5) = L(L(R(x,y \ 1,z),w,v5),u,x \ 1).
L(L(x,y,z \ 1),w,v5) = L(R(x,y \ 1,z),w,v5).
L(R(x,y \ 1,z),u,w) = L(L(x,y,z \ 1),u,w).
L(L(x,y,z \ 1),u \ 1,u \ L(x,w,v5)) = R(x,y \ 1,z).
L(x,y,z \ 1) = R(x,y \ 1,z).
R(x,y \ 1,z) = L(x,y,z \ 1).
L(x,y,(y * z) \ 1) = R(x,y,y \ z).
L(x,y,z \ (y \ 1)) = R(x,y,y \ z).
L(x,y,z \ 1) = R(x,y,y \ z).
R(x,y,y \ z) = L(x,y,z \ 1).
L(x,y * z,z * y) = x.
(x * y) \ z = K(y,x) * ((y * x) \ z).
K(x,y) * ((x * y) \ z) = (y * x) \ z.
R(x,y * (z * (z * y)),(z * y) \ ((y * z) \ u)) = R(x,K(z,y),K(y,z) * u).
(x * a(y,z,z \ (y \ x))) / 1 = L(x,y \ 1,z).
L(x,y,z \ 1) / 1 = L(x,y \ 1,z).
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) * u = x * (a(y,z,z \ (y \ x)) * u).
L(x,y,z \ 1) * u = x * (a(y,z,z \ (y \ x)) * u).
x * (a(y,z,z \ (y \ x)) * u) = L(x,y,z \ 1) * u.
(x * (a(y,(1 \ y) * (z * (1 \ y)),((1 \ y) * (z * (1 \ y))) \ (y \ x)) * u)) / u = L(x,z,1 \ y).
(x * (a(y,y * (z * (1 \ y)),((1 \ y) * (z * (1 \ y))) \ (y \ x)) * u)) / u = L(x,z,1 \ y).
(x * (a(y,y * (z * y),((1 \ y) * (z * (1 \ y))) \ (y \ x)) * u)) / u = L(x,z,1 \ y).
(x * (a(y,y * (z * y),(y * (z * (1 \ y))) \ (y \ x)) * u)) / u = L(x,z,1 \ y).
(x * (a(y,y * (z * y),(y * (z * y)) \ (y \ x)) * u)) / u = L(x,z,1 \ y).
(x * (a(y,z * y,(z * y) \ (y \ x)) * u)) / u = L(x,z,1 \ y).
(L(x,y,(z * y) \ 1) * u) / u = L(x,z,1 \ y).
(L(x,y,y \ (z \ 1)) * u) / u = L(x,z,1 \ y).
(L(x,z \ 1,y) * u) / u = L(x,z,1 \ y).
(L(x,z,y \ 1) * u) / u = L(x,z,1 \ y).
L(x,z,y \ 1) = L(x,z,1 \ y).
L(x,y,z \ 1) = L(x,y,z).
R(x,x \ y,z) = L(x,y,z \ 1).
R(x,x \ y,z) = L(x,y,z).
L(x,y,(z * y) \ 1) = L(x,y,z).
L(x,y,y \ (z \ 1)) = L(x,y,z).
L(x,z \ 1,y) = L(x,y,z).
L(x,z,y \ 1) = L(x,y,z).
L(x,y,z) = L(x,z,y).
R(x,y,y \ z) = L(x,y,z).
L(x,(y \ x) * z,u) = L(x,z \ (x \ y),u).
L(x,u,(y \ x) * z) = L(x,z \ (x \ y),u).
L(x,u,(y \ x) * z) = L(x,u,z \ (x \ y)).
L(x,y,z \ (x \ u)) = L(x,y,(u \ x) * z).
L(x,K(y,z),u * K(z,y)) = L(x,u,K(z,y)).
L(x,K(u,z),y * K(z,u)) = L(x,K(z,u),K(u,z) * y).
L(x,y,K(z,u)) = L(x,K(z,u),K(u,z) * y).
L(x,K(y,z),K(z,y) * u) = L(x,u,K(y,z)).
R(x,y * z,(((y * z) \ u) * u) * ((u \ (u \ y)) * (z * w))) = R(x,y * z,L(w,y,z)).
R(x,y * z,L(z \ u,y,z)) = R(x,y * z,(((y * z) \ w) * w) * ((w \ (w \ y)) * u)).
x * (x * (y * (x * (x * L(x \ (x \ (y \ 1)),z,z / y))))) = x * x.
L(T(x * y,x * z),L(y \ z,x,y),u) = (u * L(y \ z,y,x)) \ (u * (x * z)).
L(T(x * y,x * z),u,L(y \ z,x,y)) = (u * L(y \ z,y,x)) \ (u * (x * z)).
L(T(x * y,x * z),u,L(y \ z,x,y)) = (u * L(y \ z,x,y)) \ (u * (x * z)).
L(x,z,y \ (x \ 1)) = (z * (y \ (x \ 1))) \ (z / y).
L(x,z,(1 \ x) * y) = (z * (y \ (x \ 1))) \ (z / y).
L(x,y,x * z) = (y * (z \ (x \ 1))) \ (y / z).
R(x,y * z,L(z \ u,y,z)) = R(x,y * z,(y * z) \ (y * u)).
R(x,y * z,L(z \ u,y,z)) = L(x,y * z,y * u).
L(c8,c5,K(c6,c7)) != c8.
L(x,(y \ (y \ z)) * u,z) = R(x,z * u,u \ 1).
L(x,z,(y \ (y \ z)) * u) = R(x,z * u,u \ 1).
R(x,y * z,z \ 1) = L(x,y,(u \ (u \ y)) * z).
L(x,x * y,z) = R(x,y,y \ z).
L(x,z,x * y) = R(x,y,y \ z).
L(x,y,x * z) = L(x,z,y).
(x * ((x \ y) * z)) / z = L(y,x,z).
L(x,y * z,y * u) = R(x,y * z,(((y * z) \ w) * w) * ((w \ (w \ y)) * u)).
R(x,y * z,(((y * z) \ u) * u) * ((u \ (u \ y)) * w)) = L(x,y * z,y * w).
L(x,z,y) = (y * (z \ (x \ 1))) \ (y / z).
L(x,y,z) = (y * (z \ (x \ 1))) \ (y / z).
(x * (y \ (z \ 1))) \ (x / y) = L(z,x,y).
L(x,y * z,y * (z * u)) = R(x,y * z,L(u,y,z)).
R(x,y * z,L(y * y,y,z)) = x.
L(T(x * x,x * 1),y,x \ 1) = (y * L(x \ 1,x,x)) \ (y * (x * 1)).
L(T(x * x,x),y,x \ 1) = (y * L(x \ 1,x,x)) \ (y * (x * 1)).
L(x * x,y,x \ 1) = (y * L(x \ 1,x,x)) \ (y * (x * 1)).
L(x * x,y,x) = (y * L(x \ 1,x,x)) \ (y * (x * 1)).
L(x * x,x,y) = (y * L(x \ 1,x,x)) \ (y * (x * 1)).
L(x * x,x,y) = (y * (x \ 1)) \ (y * (x * 1)).
L(x * x,x,y) = (y / x) \ (y * (x * 1)).
L(x * x,x,y) = (y / x) \ (y * x).
L(x * x,x,y) = (x / y) * (y * x).
L(x * x,x,y) = y * ((y \ x) * x).
L(x * x,x,y) = x * x.
R(x,y * z,y * y) = x.
T(x * (x * y),z \ 1) / (y / z) = (y / z) \ (y * (x * x)).
T(x * (x * y),z \ 1) * (z / y) = (y / z) \ (y * (x * x)).
T(x * (x * y),z \ 1) * (z / y) = ((y / z) \ y) * (x * x).
T(x * (x * y),z \ 1) * (z / y) = ((z / y) * y) * (x * x).
T(x * (x * y),z \ 1) * (z / y) = z * (x * x).
a(T(x * (x * y),z \ 1) / (y / z),(x \ (x \ (z \ 1))) * (((y / z) / T(x * (x * y),z \ 1)) * u),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(T(x * (x * y),z \ 1) * (z / y),(x \ (x \ (z \ 1))) * (((y / z) / T(x * (x * y),z \ 1)) * u),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),(x \ (x \ (z \ 1))) * (((y / z) / T(x * (x * y),z \ 1)) * u),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),(x \ (x \ (z \ 1))) * ((x \ (x \ (z \ 1))) * u),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),(x \ (x \ (z \ 1))) * (((z * x) * x) \ u),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),(x \ (x \ (z \ 1))) * ((z * (x * x)) \ u),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),(x \ (x \ (z \ 1))) * (x \ (x \ (z \ u))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),((z * x) * x) \ (x \ (x \ (z \ u))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),(z * (x * x)) \ (x \ (x \ (z \ u))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z * (x * x),x \ (x \ (z \ (x \ (x \ (z \ u))))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z,x * (x * (x \ (x \ (z \ (x \ (x \ (z \ u))))))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z,x * (x \ (z \ (x \ (x \ (z \ u))))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z,z \ (x \ (x \ (z \ u))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z,z * (x \ (x \ (z \ u))),w) = a(T(x * (x * y),z \ 1) / (y / z),u,w).
a(z,z * (x \ (x \ (z \ u))),w) = a(T(x * (x * y),z \ 1) * (z / y),u,w).
a(z,z * (x \ (x \ (z \ u))),w) = a(z * (x * x),u,w).
a(x,x * (y \ (y \ (x \ z))),u) = a(x,y * (y * z),u).
x \ (x * x) = x * (y * (x * (x * L(x \ (x \ (y \ 1)),z,z / y)))).
x = x * (y * (x * (x * L(x \ (x \ (y \ 1)),z,z / y)))).
x * (y * (x * (x * L(x \ (x \ (y \ 1)),z,z / y)))) = x.
R(x / y,y,x * (z * (x * (x * L(x \ (x \ (z \ 1)),u,u / z))))) = (x * x) / (y * (x * (z * (x * (x * L(x \ (x \ (z \ 1)),u,u / z)))))).
R(x / y,y,x) = (x * x) / (y * (x * (z * (x * (x * L(x \ (x \ (z \ 1)),u,u / z)))))).
R(x / y,y,x) = (x * x) / (y * x).
R(x / y,y,x) = x * (x / (y * x)).
R(x / y,y,x) = x * (y \ 1).
R(x / y,y,x) = x / y.
R(x / (y * (y * z)),y * (y * z),x * (u * (x * (x * L(x \ (x \ (u \ 1)),w,w / u))))) = (x * x) / (y * (y * (z * (x * (u * (x * (x * L(x \ (x \ (u \ 1)),w,w / u)))))))).
R(x / (y * (y * z)),y * (y * z),x) = (x * x) / (y * (y * (z * (x * (u * (x * (x * L(x \ (x \ (u \ 1)),w,w / u)))))))).
x / (y * (y * z)) = (x * x) / (y * (y * (z * (x * (u * (x * (x * L(x \ (x \ (u \ 1)),w,w / u)))))))).
x / (y * (y * z)) = (x * x) / (y * (y * (z * x))).
x / (y * (y * z)) = x * (x / (y * (y * (z * x)))).
x / (y * (y * z)) = x * (z \ (y \ (y \ 1))).
x * (y \ (z \ (z \ 1))) = x / (z * (z * y)).
(x / (y * (y * z))) * u = (x / z) * (y \ (y \ u)).
((x / z) * (y \ (y \ (y * (y * (z * u)))))) \ (x * u) = a(z,y * (y * (z * x)),u).
((x / z) * (y \ (y * (z * u)))) \ (x * u) = a(z,y * (y * (z * x)),u).
((x / z) * (z * u)) \ (x * u) = a(z,y * (y * (z * x)),u).
(z * ((z \ x) * u)) \ (x * u) = a(z,y * (y * (z * x)),u).
a(z,z * x,u) = a(z,y * (y * (z * x)),u).
a(x,y * (y * (x * z)),u) = a(x,x * z,u).
a(x,x * (y * z),u) = a(x,x * (y \ z),u).
a(x,x * (y \ z),u) = a(x,x * (y * z),u).
a(x,x * (y * (y \ (x \ z))),u) = a(x,y * (y * z),u).
a(x,x * (x \ z),u) = a(x,y * (y * z),u).
a(x,z,u) = a(x,y * (y * z),u).
a(x,y * (y * z),u) = a(x,z,u).
a(x,y * (z * (z * y)),u) = 1.
(x * (y * (z * (z * (y * u))))) * 1 = (x * (z * (y * (y * z)))) * u.
x * (y * (z * (z * (y * u)))) = (x * (z * (y * (y * z)))) * u.
(x * (y * (z * (z * y)))) * u = x * (z * (y * (y * (z * u)))).
(x * (z * (y * (y * (z * u))))) / (z * (y * (y * (z * u)))) = R(x,y * (z * (z * y)),u).
x = R(x,y * (z * (z * y)),u).
R(x,y * (z * (z * y)),u) = x.
x = R(x,K(z,y),K(y,z) * u).
R(x,K(y,z),K(z,y) * u) = x.
x \ y = x * (((T(T(z,x),u) * (x * w)) * y) / T(x * (T(z,u) * (x * (x * w))),y)).
x * (((T(T(y,x),z) * (x * u)) * w) / T(x * (T(y,z) * (x * (x * u))),w)) = x \ w.
((x * (y * (y * z))) * (z * (((T(T(u,z),w) * (z * v5)) * v6) / T(z * (T(u,w) * (z * (z * v5))),v6)))) / (y * (y * v6)) = R(x,y * (y * z),z * (((T(T(u,z),w) * (z * v5)) * v6) / T(z * (T(u,w) * (z * (z * v5))),v6))).
((x * (y * (y * z))) * (z \ v6)) / (y * (y * v6)) = R(x,y * (y * z),z * (((T(T(u,z),w) * (z * v5)) * v6) / T(z * (T(u,w) * (z * (z * v5))),v6))).
(z * ((z \ x) * (y * (y * v6)))) / (y * (y * v6)) = R(x,y * (y * z),z * (((T(T(u,z),w) * (z * v5)) * v6) / T(z * (T(u,w) * (z * (z * v5))),v6))).
L(x,z,y * (y * v6)) = R(x,y * (y * z),z * (((T(T(u,z),w) * (z * v5)) * v6) / T(z * (T(u,w) * (z * (z * v5))),v6))).
L(x,z,v6) = R(x,y * (y * z),z * (((T(T(u,z),w) * (z * v5)) * v6) / T(z * (T(u,w) * (z * (z * v5))),v6))).
L(x,z,v6) = R(x,y * (y * z),z \ v6).
L(x,z,v6) = R(x,z,((z \ y) * y) * v6).
R(x,y,((y \ z) * z) * u) = L(x,y,u).
L(x,y,(z \ (z \ y)) * u) = R(x,y,u).
R(x,y * z,z \ 1) = R(x,y,z).
x / (y * z) = (x * (y * y)) / ((y * z) * (y * y)).
x / (y * z) = (x * (y * y)) / (y * ((z * y) * y)).
x / (y * z) = (x * (y * y)) / (y * (z * (y * y))).
x / (y * z) = x * (y * (y / (y * (z * (y * y))))).
x / (y * z) = x * (y * (y \ (z \ (y \ 1)))).
x / (y * z) = x * (z \ (y \ 1)).
x * (y \ (z \ 1)) = x / (z * y).
(x / (z * y)) \ (x / y) = L(z,x,y).
((z * y) / x) * (x / y) = L(z,x,y).
R(x,y,z \ 1) = L(x,z,y).
L(x,z,y * z) = R(x,y,z).
L(x,z,y) = R(x,y,z).
L(x,y,z) = R(x,y,z).
R(x,y,z) = L(x,y,z).
L(x,K(y,z),K(z,y) * u) = x.
L(x,y,K(z,u)) = x.
$F # answer("aK2").
a(K(x,y),z,u) = 1 # label("aK1") # label(non_clause) # label(goal).
a(K(c1,c2),c3,c4) != 1 # label("aK1") # answer("aK1").
L(c4,c3,K(c1,c2)) != c4 # answer("aK1").
T(x,y) = x -> K(x,y) = 1 # label(non_clause).
a(x,y,K(z,u)) = 1 # label("aK3") # label(non_clause) # label(goal).
T(x,y) != x | K(x,y) = 1.
R(R(x,y,z),u,w) = R(R(x,u,w),y,z).
a(c9,c10,K(c11,c12)) != 1 # label("aK3") # answer("aK3").
(x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z).
x \ (y * (x / y)) = K(y,x / y).
(x * (y / x)) \ y = K(y / x,x).
(x * 1) \ (x * y) = L(y,1,x).
x \ (x * y) = L(y,1,x).
y = L(y,1,x).
L(x,1,y) = x.
(x * y) * L(z,y,x) = x * (y * z).
T(T(T(x,y),z),u) = T(T(T(x,z),u),y).
T(T(T(x,y),z),u) = T(T(T(x,u),y),z).
(x * (x / y)) * z = (x / y) * (y * ((x / y) * z)).
(x / y) * (y * ((x / y) * z)) = (x * (x / y)) * z.
((x * y) * (x * z)) \ (x * (y * (x * z))) = a(x * y,x,z).
(x * (y * (x * z))) \ (z * ((x * y) * x)) = K(z,(x * y) * x).
(x * (y * (x * z))) \ (z * (x * (y * x))) = K(z,(x * y) * x).
(x * (y * (x * z))) \ (z * (x * (y * x))) = K(z,x * (y * x)).
L(x,y,z) = L(T(x,L(x,y,z)),y,z).
L(T(x,L(x,y,z)),y,z) = L(x,y,z).
(x / y) * (((x / y) \ z) * x) = (z * (x / y)) * y.
(x * (y * z)) * (a(x,y,z) * ((x * (y * z)) * u)) = (((x * y) * z) * (x * (y * z))) * u.
(x * y) \ (x * ((z * y) * u)) = L((y \ z) * (y * u),y,x).
L((x \ y) * (x * z),x,u) = (u * x) \ (u * ((y * x) * z)).
((x \ y) * (x * z)) \ ((y * x) * z) = T(x,(x \ y) * (x * z)).
(x * ((y * x) * z)) \ (x * (y * (x * z))) = a(x * y,x,z).
(x * (y * z)) / z = R(x * y,x,x \ z).
R(x * y,x,x \ z) = (x * (y * z)) / z.
((x * y) * (K(y,x) * z)) / z = R(y * x,x * y,(x * y) \ z).
R(x * y,y * x,(y * x) \ z) = ((y * x) * (K(x,y) * z)) / z.
(x * (T(y,x) * z)) / z = R(y * x,x,x \ z).
R(x * y,y,y \ z) = (y * (T(x,y) * z)) / z.
a(x,x \ y,z) \ (y * z) = T(x * ((x \ y) * z),a(x,x \ y,z)).
T(x * ((x \ y) * z),a(x,x \ y,z)) = a(x,x \ y,z) \ (y * z).
a(x / y,y,z) \ (x * z) = T((x / y) * (y * z),a(x / y,y,z)).
T((x / y) * (y * z),a(x / y,y,z)) = a(x / y,y,z) \ (x * z).
((x / y) * (z * x)) \ (y * ((x / y) * (z * (x / y)))) = K(y,(x / y) * (z * (x / y))).
((x * x) * y) \ ((1 * (x * y)) * x) = K((x \ x) * (x * y),x).
(x * (x * y)) \ ((1 * (x * y)) * x) = K((x \ x) * (x * y),x).
(x * (x * y)) \ ((x * y) * x) = K((x \ x) * (x * y),x).
(x * (x * y)) \ (x * (y * x)) = K((x \ x) * (x * y),x).
(x * (x * y)) \ (x * (y * x)) = K(1 * (x * y),x).
(x * (x * y)) \ (x * (y * x)) = K(x * y,x).
R(x,y,z) = R(R(x,y,z),x,u).
R(R(x,y,z),x,u) = R(x,y,z).
(T(x,y) * y) \ (x * y) = K(y,T(x,y)).
(x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y).
((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)).
x * T(T(y,x),z) = T(y,z) * x.
x * L(T(y,x),z,u) = L(y,z,u) * x.
x * ((x \ y) * (z * x)) = (y * x) * T(z,x).
T(x \ y,z) = T(T(y / x,z),x).
T(T(x / y,z),y) = T(y \ x,z).
K(T(x,y),x) = 1.
K(x \ y,y / x) = 1.
(x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x).
((x * (y * (z * u))) * a(y,z,u)) / ((y * z) * u) = R(x,y * (z * u),a(y,z,u)).
(x * (y * z)) * (((x * (y * z)) \ u) * ((x * y) * z)) = (u * (x * (y * z))) * a(x,y,z).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = (((x * y) * z) * (x * (y * z))) * a(x,y,z).
(((x * y) * z) * (x * (y * z))) * a(x,y,z) = (x * (y * z)) * (a(x,y,z) * ((x * y) * z)).
(x * ((x \ y) * ((y \ z) * (y * u)))) \ ((z * y) * u) = a(x,x \ y,(y \ z) * (y * u)).
L(x \ (y \ z),x,y) = (y * x) \ z.
L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)).
(x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x).
L(x \ T(y,z),x,z) = (z * x) \ (y * z).
L(K(x,y),y * x,y) = K(y * x,y).
(x * ((T(y,x) * (x * z)) * u)) \ ((((y * x) * x) * z) * u) = a(x,T(y,x) * (x * z),u).
((T(x,y) * (y * z)) * y) \ (((x * y) * y) * z) = K(y,T(x,y) * (y * z)).
((x * (x \ y)) * (x * z)) / T((y * x) * z,a(x,x \ y,x * z)) = a(x,x \ y,x * z).
(x * (y * z)) / T((x * y) * z,a(y,y \ x,y * z)) = a(y,y \ x,y * z).
x * (x * T(y,x * (x * 1))) = y * (x * (x * 1)).
x * (x * T(y,x * x)) = y * (x * (x * 1)).
x * (x * T(y,x * x)) = y * (x * x).
(((x * y) * y) * z) / K(y,T(x,y) * (y * z)) = (T(x,y) * (y * z)) * y.
(((T(x,y) * z) * z) * u) / K(z,T(T(x,y),z) * (z * u)) = (T(T(x,z),y) * (z * u)) * z.
(T(T(x,y),z) * (z * u)) * z = (T(T(x,z),y) * (z * u)) * z.
((1 / x) * y) \ (x * ((1 / x) * (y * (1 / x)))) = K(x,(1 / x) * (y * (1 / x))).
(x * (1 / y)) / K(1 / y,T(x,1 / y) * ((1 / y) * y)) = (T(x,1 / y) * ((1 / y) * y)) * (1 / y).
(x / y) / K(1 / y,T(x,1 / y) * ((1 / y) * y)) = (T(x,1 / y) * ((1 / y) * y)) * (1 / y).
(x / y) / K(1 / y,T(x,1 / y) * 1) = (T(x,1 / y) * ((1 / y) * y)) * (1 / y).
(x / y) / K(1 / y,T(x,1 / y)) = (T(x,1 / y) * ((1 / y) * y)) * (1 / y).
(x / y) / K(1 / y,T(x,1 / y)) = (T(x,1 / y) * 1) * (1 / y).
(x / y) / K(1 / y,T(x,1 / y)) = T(x,1 / y) * (1 / y).
(x / y) / K(1 / y,T(x,1 / y)) = T(x,1 / y) / y.
((1 / x) * y) \ (x * ((1 / x) * (y / x))) = K(x,(1 / x) * (y * (1 / x))).
((1 / x) * y) \ (x * ((1 / x) * (y / x))) = K(x,(1 / x) * (y / x)).
((x \ 1) * y) \ (x * ((1 / x) * (y / x))) = K(x,(1 / x) * (y / x)).
((x \ 1) * y) \ (x * ((x \ 1) * (y / x))) = K(x,(1 / x) * (y / x)).
((x \ 1) * y) \ (x * ((x \ 1) * (y / x))) = K(x,(x \ 1) * (y / x)).
(x / y) / K(y \ 1,T(x,1 / y)) = T(x,1 / y) / y.
(x / y) / K(y \ 1,T(x,y \ 1)) = T(x,1 / y) / y.
(x / y) / K(y \ 1,T(x,y \ 1)) = T(x,y \ 1) / y.
a(x,y,1 / y) = 1.
a(x,y,y \ 1) = 1.
(x * (y * L(z,y,x))) \ (x * (y * z)) = a(x,y,(x * y) \ (x * (y * z))).
(x * (y * L(z,y,x))) \ (x * (y * z)) = a(x,y,L(z,y,x)).
(x * (y * L(y \ z,y,x))) \ (x * z) = a(x,y,(x * y) \ (x * z)).
T(x,L(y * z,y \ x,y)) = (x \ ((x * y) * z)) \ ((x * y) * z).
T(x,L(y * z,y \ x,y)) = T(x,x \ ((x * y) * z)).
(x * (x * (y * z))) / T(x * (x * z),T(y,z)) = T(y,z).
x * T(y,x * (x * 1)) = x \ (y * (x * (x * 1))).
x * T(y,x * x) = x \ (y * (x * (x * 1))).
x * T(y,x * x) = x \ (y * (x * x)).
x \ (y * (x * x)) = x * T(y,x * x).
(x * (x * (T(T(y,z),u) * (u * w)))) * u = x * (x * ((T(T(y,u),z) * (u * w)) * u)).
x * (x * ((T(T(y,z),u) * (u * w)) * u)) = x * (x * ((T(T(y,u),z) * (u * w)) * u)).
(x * (y * z)) / T((x * z) * T(y,z),a(z,z \ x,z * T(y,z))) = a(z,z \ x,z * T(y,z)).
(x * (y * z)) / T((x * z) * T(y,z),a(z,z \ x,y * z)) = a(z,z \ x,z * T(y,z)).
(x * (y * z)) / T((x * z) * T(y,z),a(z,z \ x,y * z)) = a(z,z \ x,y * z).
((x * x) * ((T(T(y,z),u) * (u * w)) * u)) / T(x * (x * ((T(T(y,u),z) * (u * w)) * u)),a(x,x,(T(T(y,z),u) * (u * w)) * u)) = a(x,x,(T(T(y,z),u) * (u * w)) * u).
(x * (x * ((T(T(y,z),u) * (u * w)) * u))) / T(x * (x * ((T(T(y,u),z) * (u * w)) * u)),a(x,x,(T(T(y,z),u) * (u * w)) * u)) = a(x,x,(T(T(y,z),u) * (u * w)) * u).
(x * (x * ((T(T(y,z),u) * (u * w)) * u))) / T(x * (x * ((T(T(y,u),z) * (u * w)) * u)),1) = a(x,x,(T(T(y,z),u) * (u * w)) * u).
(x * (x * ((T(T(y,z),u) * (u * w)) * u))) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))) = a(x,x,(T(T(y,z),u) * (u * w)) * u).
(x * (x * ((T(T(y,z),u) * (u * w)) * u))) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))) = 1.
K(x,(y * x) / y) = 1.
(x / y) \ ((y \ 1) * x) = K(y \ 1,x).
((x \ 1) * y) \ (y / x) = K(y,x \ 1).
(x * (x / y)) * z = x * (x * ((y \ 1) * z)).
x * (x * ((y \ 1) * z)) = (x * (x / y)) * z.
x * ((x \ y) * (x / z)) = (y * x) * (z \ 1).
x * ((x \ y) * (x / z)) = (y * x) / z.
(x * (y * (x * (z * (x * (y * x)))))) / u = x * (y * (x * (z * (x * (y * (x * (u \ 1))))))).
(x * (y * (x * (z * (x * (y * x)))))) / u = x * (y * (x * (z * (x * (y * (x / u)))))).
((T(x,y) * (y / z)) * y) \ (((x * y) * y) * (z \ 1)) = K(y,T(x,y) * (y * (z \ 1))).
((T(x,y) * (y / z)) * y) \ (((x * y) * y) / z) = K(y,T(x,y) * (y * (z \ 1))).
((T(x,y) * (y / z)) * y) \ (((x * y) * y) / z) = K(y,T(x,y) * (y / z)).
x * (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) = 1.
x * (x * ((y * z) / T(x * (x * z),T(y,z)))) = T(y,z).
((x / y) * (z * y)) \ (x * T(z,y)) = a(x / y,y,T(z,y)).
R(x,x / y,(x / y) \ T(z,y)) = ((x / y) * (z * y)) / T(z,y).
(x * (y * (z * (y * x)))) \ (x * (y * (z * (y * (x * u))))) = u.
(T(x,y) * (y * (z * (x * y)))) * u = T(x,y) * (y * (z * (y * (T(x,y) * u)))).
T(x,y) * (y * (z * (y * (T(x,y) * u)))) = (T(x,y) * (y * (z * (x * y)))) * u.
(x * (y * 1)) * z = x * (y * (((y * x) \ 1) * (y * (x * z)))).
(x * y) * z = x * (y * (((y * x) \ 1) * (y * (x * z)))).
x * (y * (((y * x) \ 1) * (y * (x * z)))) = (x * y) * z.
L(x,y,(z \ 1) / z) = x.
L(x,y * (y * (z * (y * (y * z)))),u) = x.
T(x,(y * x) * z) = T(x,(x \ y) * (x * z)).
T(x,(x \ y) * (x * z)) = T(x,(y * x) * z).
T(x,L(y * z,y \ x,y)) = T(x,(x * y) * z).
((x * (y \ z)) * T(y,z)) / z = R(x,y \ z,(y \ z) \ z).
((x * (y \ z)) * T(y,z)) / z = R(x,y \ z,T(y,z)).
((x \ y) * (x * z)) \ ((y * x) * z) = T(x,(y * x) * z).
L(x,y,z \ (z \ 1)) = x.
R(x,y \ 1,y * T(z,y)) = ((x / y) * (z * y)) / T(z,y).
R(x,y \ 1,z * y) = ((x / y) * (z * y)) / T(z,y).
((x / y) * (z * y)) / T(z,y) = R(x,y \ 1,z * y).
T(x,(y * x) / y) = x.
x * K(y \ x,y) = (y \ x) * y.
(x * y) \ (K(x,y) * (y * x)) = K(K(x,y),y * x).
(x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x).
((x * y) * z) / (K(x,y) * z) = R(y * x,K(x,y),z).
x \ ((y \ 1) * (x * y)) = K((x * y) \ x,x * y).
x \ ((y \ 1) * (x * y)) = K(y \ 1,x * y).
(x * (y * (x * z))) \ (x * ((y * x) * z)) = a(x,y,x * z).
L(a(x,y,z),x * (y * z),y) = a(y,x,y * z).
((x * y) * x) \ (x * ((y * x) * z)) = L(z,x,x * y).
(x * (y * x)) \ (x * ((y * x) * z)) = L(z,x,x * y).
L(x,y * z,z) = L(x,z,z * y).
(x * y) * (y * z) = y * ((T(x,y) * y) * z).
x * ((T(y,x) * x) * z) = (y * x) * (x * z).
(x * y) * (x / z) = x * ((y * x) * (z \ 1)).
(x * y) * (x / z) = x * ((y * x) / z).
x * ((x \ 1) * (x * ((x * 1) \ y))) = y.
x * ((x \ 1) * (x * (x \ y))) = y.
x * ((x \ 1) * y) = y.
((x \ 1) * y) \ (y / x) = K(x,(x \ 1) * (y / x)).
K(y,x \ 1) = K(x,(x \ 1) * (y / x)).
K(x,(x \ 1) * (y / x)) = K(y,x \ 1).
K(x,x \ (y / x)) = K(y,x \ 1).
x \ (y \ (x * y)) = K(y \ 1,x * y).
x \ T(x,y) = K(y \ 1,x * y).
K(x \ 1,y * x) = y \ T(y,x).
x * (y * ((y * x) \ (y * (x * z)))) = (x * y) * z.
x * (y * L(z,x,y)) = (x * y) * z.
x * (x * (y \ z)) = (x * (x / y)) * z.
(x * (x / y)) * z = x * (x * (y \ z)).
(x \ y) \ (y / x) = K(y,x \ 1).
(x / y) \ (y \ x) = K(y \ 1,x).
(x / y) * (y * ((x / y) * z)) = x * (x * (y \ z)).
T(x,K(y,x / y)) = (x / y) * y.
T(x,K(y,x / y)) = x.
(x * y) \ (x * y) = K(K(x,y),y * x).
1 = K(K(x,y),y * x).
K(K(x,y),y * x) = 1.
(T(T(x,y),z) / u) / K(u \ 1,T(T(T(x,y),z),u \ 1)) = T(T(T(x,u \ 1),y),z) / u.
T(T(T(x,y),z),u \ 1) / u = T(T(T(x,u \ 1),y),z) / u.
T(T(T(x,y \ 1),z),u) / y = T(T(T(x,z),u),y \ 1) / y.
x \ (x \ (y * (x * (x / z)))) = (z \ 1) * T(y,x * (x * (z \ 1))).
x \ (x \ (y * (x * (x / z)))) = (z \ 1) * T(y,x * (x / z)).
x \ (x \ (y * (x * (x / z)))) = z \ T(y,x * (x / z)).
x \ T(y,z * (z / x)) = z \ (z \ (y * (z * (z / x)))).
x * (x * (y / T(x * (x * (y * z)),z \ 1))) = z \ 1.
x * ((x * ((y / z) / T(x * (x * y),z \ 1))) * T(u,x * (z \ 1))) = x \ (u * (x * (x * (x * ((y / z) / T(x * (x * y),z \ 1)))))).
x * ((x * (x \ (x \ (z \ 1)))) * T(u,x * (z \ 1))) = x \ (u * (x * (x * (x * ((y / z) / T(x * (x * y),z \ 1)))))).
x * ((x \ (z \ 1)) * T(u,x * (z \ 1))) = x \ (u * (x * (x * (x * ((y / z) / T(x * (x * y),z \ 1)))))).
x * ((x \ (z \ 1)) * T(u,x / z)) = x \ (u * (x * (x * (x * ((y / z) / T(x * (x * y),z \ 1)))))).
x * ((x \ (z \ 1)) * T(u,x / z)) = x \ (u * (x * (x * (x * (x \ (x \ (z \ 1))))))).
x * ((x \ (z \ 1)) * T(u,x / z)) = x \ (u * (x * (x * (x \ (z \ 1))))).
x * ((x \ (z \ 1)) * T(u,x / z)) = x \ (u * (x * (z \ 1))).
x * ((x \ (y \ 1)) * T(z,x / y)) = x \ (z * (x / y)).
x \ (x \ (y * (x * (z \ 1)))) = (x * ((u / z) / T(x * (x * u),z \ 1))) * T(y,x * (x * (x * ((u / z) / T(x * (x * u),z \ 1))))).
x \ (x \ (y * (x / z))) = (x * ((u / z) / T(x * (x * u),z \ 1))) * T(y,x * (x * (x * ((u / z) / T(x * (x * u),z \ 1))))).
x \ (x \ (y * (x / z))) = (x * (x \ (x \ (z \ 1)))) * T(y,x * (x * (x * ((u / z) / T(x * (x * u),z \ 1))))).
x \ (x \ (y * (x / z))) = (x \ (z \ 1)) * T(y,x * (x * (x * ((u / z) / T(x * (x * u),z \ 1))))).
x \ (x \ (y * (x / z))) = (x \ (z \ 1)) * T(y,x * (x * (x * (x \ (x \ (z \ 1)))))).
x \ (x \ (y * (x / z))) = (x \ (z \ 1)) * T(y,x * (x * (x \ (z \ 1)))).
x \ (x \ (y * (x / z))) = (x \ (z \ 1)) * T(y,x * (z \ 1)).
x \ (x \ (y * (x / z))) = (x \ (z \ 1)) * T(y,x / z).
(x * (y * (y * z))) \ ((x * (y * (y * u))) * (u \ z)) = a(x,y * (y * u),u \ z).
(x * (y * (y * z))) \ ((x * (y * (y * (z / u)))) * u) = a(x,y * (y * (z / u)),u).
(x * ((y * x) * (x * (z * u)))) \ (((x * y) * (x * (x * z))) * u) = a(x * y,x * (x * z),u).
(x * ((y * x) * (x * (z * u)))) \ ((x * ((y * x) * (x * z))) * u) = a(x * y,x * (x * z),u).
a(x * ((y * x) * x),z,u) = a(x * y,x * (x * z),u).
T(T(T(T(T(x,y),z),u \ 1),w),v5) / u = T(T(T(T(T(x,w),y),z),v5),u \ 1) / u.
(x * (y * z)) / T((x * z) * T(y,z),a(z,z * x,y * z)) = a(z,z \ x,y * z).
(x * (y * z)) / T((x * z) * T(y,z),a(z,z * x,y * z)) = a(z,z * x,y * z).
(x * ((x \ y) * ((y \ z) * (y * u)))) \ ((z * y) * u) = a(x,x * y,(y \ z) * (y * u)).
T(x * ((x \ y) * z),a(x,x * y,z)) = a(x,x \ y,z) \ (y * z).
T(x * ((x \ y) * z),a(x,x * y,z)) = a(x,x * y,z) \ (y * z).
T(T(T(T(T(x,y),z \ 1),u),w),v5) / z = T(T(T(T(T(x,w),u),y),v5),z \ 1) / z.
L(x,y,z) \ 1 = (z * (y * x)) \ (z * y).
(x * (y * z)) \ (x * y) = L(z,y,x) \ 1.
T((x / y) * (y * z),a(x / y,y,z)) = T((x / y) * (y * z),x * z).
a(x / y,y,z) \ (x * z) = T((x / y) * (y * z),x * z).
T((x / y) * (y * z),x * z) = a(x / y,y,z) \ (x * z).
((x / (y \ z)) * z) \ (x * T(y,z)) = a(x / (y \ z),y \ z,T(y,z)).
((x * (z \ y)) * z) \ (x * T(y,z)) = a(x / (y \ z),y \ z,T(y,z)).
((x * (z \ y)) * z) \ (x * T(y,z)) = a(x * (z \ y),y \ z,T(y,z)).
a(x * (y \ z),z \ y,T(z,y)) = ((x * (y \ z)) * y) \ (x * T(z,y)).
((x \ y) * z) * y = (x \ y) * ((z * (x \ y)) * T(x,y)).
(x \ y) * ((z * (x \ y)) * T(x,y)) = ((x \ y) * z) * y.
(x \ y) * (x / y) = K(x,y \ 1).
x * K(y \ x,y) = T(x,y).
T(x,y) * (y * (z * (x * (y * u)))) = (T(x,y) * (y * (z * (x * y)))) * u.
(T(x,y) * (y * (z * (x * y)))) * u = T(x,y) * (y * (z * (x * (y * u)))).
(x * y) \ (x * (y * z)) = L(z,T(x,y),y).
L(z,y,x) = L(z,T(x,y),y).
L(x,T(y,z),z) = L(x,z,y).
R(x * y,y,y \ z) = (x * (y * z)) / z.
((T(x,y) * (y / z)) * y) \ ((x * (y * y)) / z) = K(y,T(x,y) * (y / z)).
a(x * (y * (x * x)),z,u) = a(x * y,x * (x * z),u).
(x * ((T(y,x) * (x * z)) * u)) \ (((y * (x * x)) * z) * u) = a(x,T(y,x) * (x * z),u).
(x * ((T(y,x) * (x * z)) * u)) \ ((y * (x * (x * z))) * u) = a(x,T(y,x) * (x * z),u).
((T(x,y) * (y / z)) * y) \ (x * (y * (y / z))) = K(y,T(x,y) * (y / z)).
T(x,K(y,x / y)) = T(x,y * (x / y)).
x = T(x,y * (x / y)).
T(x,y * (x / y)) = x.
(x * y) * L(z,K(x,y),y * x) = (y * x) * (K(x,y) * z).
x * L(y,T(z,x),z \ x) = (z \ x) * (T(z,x) * y).
L(T(x,y * z),y * z,y) = z \ (y \ (x * (y * z))).
L((x * y) \ z,y * T(x,y),y) = T(x,y) \ (y \ z).
L((x * y) \ z,x * y,y) = T(x,y) \ (y \ z).
L((x * y) \ z,y,y * x) = T(x,y) \ (y \ z).
L(K(x / y,y),y * (x / y),y) = (x / y) \ (y \ x).
K(y * (x / y),y) = (x / y) \ (y \ x).
K(x * (y / x),x) = K(x \ 1,y).
L(a(x,y,T(z,y)),x * (z * y),u) = (u * (x * (z * y))) \ (u * ((x * y) * T(z,y))).
(x * (y * (z * u))) \ (x * ((y * u) * T(z,u))) = L(a(y,u,T(z,u)),y * (z * u),x).
(x * x) \ T(y,z) = L((y * z) / T(x * (x * z),T(y,z)),x,x).
x \ (x \ T(y,z)) = L((y * z) / T(x * (x * z),T(y,z)),x,x).
x \ (x \ T(y,z)) = (y * z) / T(x * (x * z),T(y,z)).
(x * y) / T(z * (z * y),T(x,y)) = z \ (z \ T(x,y)).
(x * x) \ y = L(y * (y * (z / (T(x * x,y) * (y * z)))),x,x).
x \ (x \ y) = L(y * (y * (z / (T(x * x,y) * (y * z)))),x,x).
x \ (x \ y) = y * (y * (z / (T(x * x,y) * (y * z)))).
x * (x * (y / (T(z * z,x) * (x * y)))) = z \ (z \ x).
(x * y) \ (x * (x * (x * ((y * (y * (z / (T(x * x,y) * (y * z))))) * u)))) = L(u,y * (y * (z / (T(x * x,y) * (y * z)))),x * (x * x)).
(x * y) \ (x * (x * (x * ((x \ (x \ y)) * u)))) = L(u,y * (y * (z / (T(x * x,y) * (y * z)))),x * (x * x)).
(x * y) \ (x * ((x * (x \ y)) * u)) = L(u,y * (y * (z / (T(x * x,y) * (y * z)))),x * (x * x)).
(x * y) \ (x * (y * u)) = L(u,y * (y * (z / (T(x * x,y) * (y * z)))),x * (x * x)).
L(u,y,x) = L(u,y * (y * (z / (T(x * x,y) * (y * z)))),x * (x * x)).
L(x,y \ (y \ z),y) = L(x,z,y).
(((x \ y) \ z) * y) \ ((z * (x \ y)) * T(x,y)) = T(x \ y,(z * (x \ y)) * T(x,y)).
(((x \ y) * z) * x) \ ((z * (y \ x)) * T(y,x)) = T(y \ x,(z * (y \ x)) * T(y,x)).
R(x * ((x \ (y / z)) * z),y,((y / z) * z) \ u) = (((y / z) * z) * (a(y / z,x,x \ z) * u)) / u.
R(R(y,z \ 1,x),y,((y / z) * z) \ u) = (((y / z) * z) * (a(y / z,x,x \ z) * u)) / u.
R(R(y,z \ 1,x),y,y \ u) = (((y / z) * z) * (a(y / z,x,x \ z) * u)) / u.
R(y,z \ 1,x) = (((y / z) * z) * (a(y / z,x,x \ z) * u)) / u.
R(y,z \ 1,x) = (y * (a(y / z,x,x \ z) * u)) / u.
(x * (a(x / y,z,z \ y) * u)) / u = R(x,y \ 1,z).
R(x * ((x \ (y \ z)) * T(y,z)),z,((y \ z) * T(y,z)) \ u) = (((y \ z) * T(y,z)) * (a(y \ z,x,x \ T(y,z)) * u)) / u.
R(x * ((x \ (y \ z)) * T(y,z)),z,z \ u) = (((y \ z) * T(y,z)) * (a(y \ z,x,x \ T(y,z)) * u)) / u.
R(x * ((x \ (y \ z)) * T(y,z)),z,z \ u) = (z * (a(y \ z,x,x \ T(y,z)) * u)) / u.
(x * ((T(y,x) * x) * z)) \ ((y * (x * (x * 1))) * z) = a(x,T(y,x) * (x * 1),z).
((y * x) * (x * z)) \ ((y * (x * (x * 1))) * z) = a(x,T(y,x) * (x * 1),z).
((y * x) * (x * z)) \ ((y * (x * x)) * z) = a(x,T(y,x) * (x * 1),z).
((y * x) * (x * z)) \ (y * (x * (x * z))) = a(x,T(y,x) * (x * 1),z).
a(y,x,x * z) \ 1 = a(x,T(y,x) * (x * 1),z).
a(y,x,x * z) \ 1 = a(x,T(y,x) * x,z).
a(x,T(y,x) * x,z) = a(y,x,x * z) \ 1.
L(x,x,y) = x.
L(x,y,z) = L(L(x,y,z),x,u).
L(L(x,y,z),x,u) = L(x,y,z).
(x \ (y * z)) \ (((x \ 1) * y) * z) = a(x \ 1,y,z).
(x \ (y * z)) \ ((x \ y) * z) = a(x \ 1,y,z).
((x * y) \ z) * ((z \ x) * y) = a(z \ 1,x,y).
((x \ y) * z) / (y * z) = R(x \ 1,y,z).
x \ (y \ x) = T(y \ 1,x).
T(x \ 1,y) = y \ (x \ y).
(x \ y) * L(z,y,x \ 1) = (x \ 1) * (y * z).
(x \ y) * L(z,y,x \ 1) = x \ (y * z).
(x \ (y * z)) \ (((x \ 1) * z) * T(y,z)) = a(x \ 1,z,T(y,z)).
(x \ (y * z)) \ ((x \ z) * T(y,z)) = a(x \ 1,z,T(y,z)).
((x * y) \ z) * ((z \ y) * T(x,y)) = a(z \ 1,y,T(x,y)).
(x \ (x \ y)) * (x / z) = (x \ (z \ 1)) * T(y,x / z).
(x \ (y \ 1)) * T(z,x / y) = (x \ (x \ z)) * (x / y).
x \ T(y,z * (z / x)) = (z \ (z \ y)) * (z * (z / x)).
a(x,y,y \ x) = 1.
L(x \ y,x,y) = x \ y.
a((x * y) * T(z,y),x * (z * y),a(x,y,T(z,y))) = 1.
K(K(L(x,y,z),z * y),z * (y * x)) = 1.
T(x,y) / (x * y) = y \ 1.
x \ (y \ (((y \ 1) \ x) * z)) = L(z,(y \ 1) \ x,y \ 1).
x \ (y \ (((1 \ y) * x) * z)) = L(z,(y \ 1) \ x,y \ 1).
x \ (y \ ((y * x) * z)) = L(z,(y \ 1) \ x,y \ 1).
L(z,y * x,y) = L(z,(y \ 1) \ x,y \ 1).
L(z,y * x,y) = L(z,(1 \ y) * x,y \ 1).
L(z,y * x,y) = L(z,y * x,y \ 1).
L(x,y * z,y \ 1) = L(x,y * z,y).
T(x * (y / z),L(z,y / z,x)) = T(x * (y / z),x * y).
L(x,T(y,z) / x,y \ z) = ((y \ z) * (T(y,z) / x)) \ z.
L(x,y / x,z \ 1) = (z \ (y / x)) \ ((z \ 1) * y).
L(x,y / x,z \ 1) = (z \ (y / x)) \ (z \ y).
L(x,y / x,z \ 1) = ((y / x) \ z) * (z \ y).
(((x \ 1) / y) * (y * y)) \ (y / x) = K(y * ((x \ 1) * y),y \ 1).
((x \ (y \ 1)) * (y * y)) \ (y / x) = K(y * ((x \ 1) * y),y \ 1).
((x \ (y \ 1)) * (y * y)) \ (y / x) = K(y * (x \ y),y \ 1).
T(x * (x * (y / (x * (z * x)))),x * (x * T(z,x))) = T(z,x) \ y.
T(x * (x * (y / (x * (z * x)))),x * (z * x)) = T(z,x) \ y.
((x * y) \ y) * z = T(x,y) \ z.
T((x \ y) * ((x \ y) * (z / ((x \ y) * y))),(x \ y) * ((x \ y) * T(x,y))) = T(x,y) \ z.
T((x \ y) * ((x \ y) * (z / ((x \ y) * y))),(x \ y) * y) = T(x,y) \ z.
(x \ (y \ x)) * z = T(y,x) \ z.
(T(x,y) * (y * z)) * u = T(x,y) * (y * ((z / (x * y)) * (x * (y * u)))).
T(x,y) * (y * ((z / (x * y)) * (x * (y * u)))) = (T(x,y) * (y * z)) * u.
((T(x,x) * (x * y)) * z) \ ((T(x,x) * (x * ((y / (x * x)) * x))) * (x * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
((x * (x * y)) * z) \ ((T(x,x) * (x * ((y / (x * x)) * x))) * (x * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(x * (x * (y * z))) \ ((T(x,x) * (x * ((y / (x * x)) * x))) * (x * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(x * (x * (y * z))) \ ((x * (x * ((y / (x * x)) * x))) * (x * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(x * (x * (y * z))) \ (x * (((x * ((y / (x * x)) * x)) * x) * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(x * (x * (y * z))) \ (x * ((x * (((y / (x * x)) * x) * x)) * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(x * (x * (y * z))) \ (x * ((x * ((y / (x * x)) * (x * x))) * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(x * (x * (y * z))) \ (x * ((x * y) * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(y * z) \ (x \ (x \ (x * ((x * y) * z)))) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(y * z) \ (x \ ((x * y) * z)) = a(T(x,x),x * ((y / (x * x)) * x),x * z).
(y * z) \ (x \ ((x * y) * z)) = a(x,x * ((y / (x * x)) * x),x * z).
(y * z) \ (x \ ((x * y) * z)) = a((y / (x * x)) * x,x,z) \ 1.
(y * z) \ (x \ ((x * y) * z)) = a(y / (x * x),x,x * z).
a(x / (y * y),y,y * z) = (x * z) \ (y \ ((y * x) * z)).
(x * y) * z = u * (u * (((x * y) * ((x * y) * ((x * w) / (T(u * u,x * y) * (x * ((y * x) * w)))))) * z)).
(x * y) * z = u * (u * (((u \ (u \ x)) * y) * z)).
x * (x * (((x \ (x \ y)) * z) * u)) = (y * z) * u.
(x * (y * z)) \ (x * (x * (x * (((y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u)))))) * w)))) = L(w,(y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))),x * (x * x)).
(x * (y * z)) \ (x * (x * (x * (((x \ (x \ y)) * z) * w)))) = L(w,(y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))),x * (x * x)).
(x * (y * z)) \ (x * ((y * z) * w)) = L(w,(y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))),x * (x * x)).
L(w,y * z,x) = L(w,(y * z) * ((y * z) * ((y * u) / (T(x * x,y * z) * (y * ((z * y) * u))))),x * (x * x)).
L(w,y * z,x) = L(w,(x \ (x \ y)) * z,x * (x * x)).
L(w,y * z,x) = L(w,(x \ (x \ y)) * z,x).
L(x,(y \ (y \ z)) * u,y) = L(x,z * u,y).
(x * y) \ ((x * (z \ 1)) * (z * y)) = a(x,y / (z * y),z * y).
(x * y) \ ((x / z) * (z * y)) = a(x,y / (z * y),z * y).
a(x / z,z,y) \ 1 = a(x,y / (z * y),z * y).
a(x / y,y,z) \ 1 = a(x,y \ 1,y * z).
x * ((y * x) \ T(z,x * (y \ 1))) = x \ (z * (x * (x / (y * x)))).
x * ((y * x) \ T(z,x / y)) = x \ (z * (x * (x / (y * x)))).
x * ((y * x) \ T(z,x / y)) = x \ (z * (x * (y \ 1))).
x * ((y * x) \ T(z,x / y)) = x \ (z * (x / y)).
(x * y) \ ((x / z) * (z * y)) = a(x,z \ 1,z * y).
((x \ y) * (z * 1)) \ ((y \ x) * ((x \ y) * (z * (x \ y)))) = K(y \ x,(x \ y) * (z * (x \ y))).
((x \ y) * z) \ ((y \ x) * ((x \ y) * (z * (x \ y)))) = K(y \ x,(x \ y) * (z * (x \ y))).
((x \ y) * z) \ L(z * (x \ y),(x \ y) * y,x) = K(y \ x,(x \ y) * (z * (x \ y))).
((x \ y) * z) \ (z * (x \ y)) = K(y \ x,(x \ y) * (z * (x \ y))).
K(z,x \ y) = K(y \ x,(x \ y) * (z * (x \ y))).
K(x \ y,(y \ x) * (z * (y \ x))) = K(z,y \ x).
(x \ y) * ((y \ x) * T(z,(y \ x) * 1)) = (y \ x) \ (z * ((y \ x) * ((x \ y) * (y \ x)))).
(x \ y) * ((y \ x) * T(z,y \ x)) = (y \ x) \ (z * ((y \ x) * ((x \ y) * (y \ x)))).
(x \ y) * (z * (y \ x)) = (y \ x) \ (z * ((y \ x) * ((x \ y) * (y \ x)))).
(x \ y) * (z * (y \ x)) = (y \ x) \ (z * ((y \ x) * 1)).
(x \ y) * (z * (y \ x)) = (y \ x) \ (z * (y \ x)).
(x \ y) * (z * (y \ x)) = T(z,y \ x).
((x \ y) * (z * ((x \ y) * ((y \ x) * u)))) \ (((x \ y) * (z * 1)) * u) = a((x \ y) * (z * (x \ y)),y \ x,u).
((x \ y) * (z * L(u,(y \ x) * x,y))) \ (((x \ y) * (z * 1)) * u) = a((x \ y) * (z * (x \ y)),y \ x,u).
((x \ y) * (z * u)) \ (((x \ y) * (z * 1)) * u) = a((x \ y) * (z * (x \ y)),y \ x,u).
((x \ y) * (z * u)) \ (((x \ y) * z) * u) = a((x \ y) * (z * (x \ y)),y \ x,u).
a(x \ y,z,u) = a((x \ y) * (z * (x \ y)),y \ x,u).
a((x \ y) * (z * (x \ y)),y \ x,u) = a(x \ y,z,u).
K(K(L(x \ y,y \ x,z),z * (y \ x)),z * 1) = 1.
K(K(x \ y,z * (y \ x)),z * 1) = 1.
K(K(x \ y,z * (y \ x)),z) = 1.
K(x \ y,z * (y \ x)) = K(z,y \ x).
K(K(x,y \ z),x) = 1.
T(x,y \ x) = T(y,x) * (y \ x).
T(x,y) * (x \ y) = T(y,x \ y).
a(x,T(y * x,x),z) = a(y,x,x * z) \ 1.
a(y * x,x,z) = a(y,x,x * z) \ 1.
a(x,y,y * z) \ 1 = a(x * y,y,z).
T(x * y,y) \ (x * y) = K(y,T(x,y)).
K(x,x * (y * x)) = K(x,T(y,x)).
((x * (y \ z)) * y) / T(z,y) = R(x,y \ z,y).
(x \ y) * (((x \ y) \ z) * T(y,x)) = (z * (x \ y)) * x.
(x \ y) * (((y \ x) * z) * T(y,x)) = (z * (x \ y)) * x.
L(x \ y,x,x \ z) = T(z,x) \ ((x \ z) * y).
L(x * y,x \ (x \ z),x) = (x \ z) \ (T(z,x) * y).
L(x * y,z,x) = (x \ z) \ (T(z,x) * y).
L(x * y,z,x) = (z \ x) * (T(z,x) * y).
(x \ y) * (T(x,y) * z) = L(y * z,x,y).
(T(x,y * (z * y)) * u) / (y * (z * (y * u))) = R((y * (z * y)) \ x,y * (z * y),u).
((x \ y) * z) * T(y,x) = (x \ y) * ((z * (x \ y)) * x).
(x \ y) * ((z * (x \ y)) * x) = ((x \ y) * z) * T(y,x).
T(x * (x * (y \ z)),x * (x * T(z,y))) = T(x * (x * (y \ z)),y).
x * L(y,T(z,x),z \ x) = L(x * y,z,x).
(K(x,y) * (z * (K(x,y) * (K(y,x) * u)))) \ ((K(x,y) * (z * 1)) * u) = a(K(x,y) * (z * K(x,y)),K(y,x),u).
(K(x,y) * (z * u)) \ ((K(x,y) * (z * 1)) * u) = a(K(x,y) * (z * K(x,y)),K(y,x),u).
(K(x,y) * (z * u)) \ ((K(x,y) * z) * u) = a(K(x,y) * (z * K(x,y)),K(y,x),u).
a(K(x,y),z,u) = a(K(x,y) * (z * K(x,y)),K(y,x),u).
a(K(x,y) * (z * K(x,y)),K(y,x),u) = a(K(x,y),z,u).
R(x,x \ y,y \ z) = z / ((x \ y) * (y \ z)).
(x * y) \ R(z,z \ x,y) = ((z \ x) * y) \ 1.
(x * y) \ R(z,z \ x,y) = y \ ((z \ x) \ 1).
(x * y) \ R(z,z \ x,y) = y \ ((x \ z) * 1).
(x * y) \ R(z,z \ x,y) = y \ (x \ z).
R(x,y,(x * y) \ T(z,y * (y / (x * y)))) = T(z,y * (y / (x * y))) / (y \ (z * (y * (y / (x * y))))).
R(x,y,(x * y) \ T(z,y * (x \ 1))) = T(z,y * (y / (x * y))) / (y \ (z * (y * (y / (x * y))))).
R(x,y,(x * y) \ T(z,y / x)) = T(z,y * (y / (x * y))) / (y \ (z * (y * (y / (x * y))))).
R(x,y,(x * y) \ T(z,y / x)) = T(z,y * (x \ 1)) / (y \ (z * (y * (y / (x * y))))).
R(x,y,(x * y) \ T(z,y / x)) = T(z,y / x) / (y \ (z * (y * (y / (x * y))))).
R(x,y,(x * y) \ T(z,y / x)) = T(z,y / x) / (y \ (z * (y * (x \ 1)))).
R(x,y,(x * y) \ T(z,y / x)) = T(z,y / x) / (y \ (z * (y / x))).
R(x,y,(x * y) \ T(z,y / x)) = T(z,y / x) * ((z * (y / x)) \ y).
x / T(T(x,y),x) = K(y,y \ x).
x / T(x,y) = K(y,y \ x).
T(x,y) \ x = K(y,y \ x).
K(x \ y,x) = K(y,y \ x).
L(x,y,R(z,y,x)) = L(x,y,(z * y) * x).
L(x,y,(z * y) * x) = L(x,y,R(z,y,x)).
(x \ y) * (x * (x * 1)) = T(x * y,x * (x * 1)).
(x \ y) * (x * x) = T(x * y,x * (x * 1)).
(x \ y) * (x * x) = T(x * y,x * x).
(x \ y) * T((y \ x) * z,(y \ x) * 1) = ((y \ x) \ z) * ((y \ x) * ((y \ x) * (x \ y))).
(x \ y) * T((y \ x) * z,y \ x) = ((y \ x) \ z) * ((y \ x) * ((y \ x) * (x \ y))).
(x \ y) * (z * (y \ x)) = ((y \ x) \ z) * ((y \ x) * ((y \ x) * (x \ y))).
T(z,y \ x) = ((y \ x) \ z) * ((y \ x) * ((y \ x) * (x \ y))).
T(z,y \ x) = ((x \ y) * z) * ((y \ x) * ((y \ x) * (x \ y))).
T(z,y \ x) = ((x \ y) * z) * ((y \ x) * 1).
T(z,y \ x) = ((x \ y) * z) * (y \ x).
((x \ y) * z) * (y \ x) = T(z,y \ x).
(x * y) * (K(y,x) * (z * (x * y))) = ((y * x) * (x * y)) * T(z,x * y).
((x * y) * (y * x)) * T(z,y * x) = (y * x) * (K(x,y) * (z * (y * x))).
(1 * x) \ ((y \ z) * ((((y \ z) \ (z \ y)) * ((y \ z) * x)) * u)) = L(u,((y \ z) \ (z \ y)) * ((y \ z) * x),y \ z).
x \ ((y \ z) * ((((y \ z) \ (z \ y)) * ((y \ z) * x)) * u)) = L(u,((y \ z) \ (z \ y)) * ((y \ z) * x),y \ z).
x \ ((y \ z) * ((((z \ y) * (z \ y)) * ((y \ z) * x)) * u)) = L(u,((y \ z) \ (z \ y)) * ((y \ z) * x),y \ z).
x \ ((y \ z) * (((z \ y) * ((z \ y) * ((y \ z) * x))) * u)) = L(u,((y \ z) \ (z \ y)) * ((y \ z) * x),y \ z).
x \ ((y \ z) * (((z \ y) * x) * u)) = L(u,((y \ z) \ (z \ y)) * ((y \ z) * x),y \ z).
x \ ((y \ z) * (((z \ y) * x) * u)) = L(u,((z \ y) * (z \ y)) * ((y \ z) * x),y \ z).
x \ ((y \ z) * (((z \ y) * x) * u)) = L(u,(z \ y) * ((z \ y) * ((y \ z) * x)),y \ z).
x \ ((y \ z) * (((z \ y) * x) * u)) = L(u,(z \ y) * x,y \ z).
(T(x,y) * z) \ (y * (((y \ (y \ x)) * (y * z)) * u)) = L(u,(y \ (y \ x)) * (y * z),y).
(T(x,y) * z) \ (y * (((y \ (y \ x)) * (y * z)) * u)) = L(u,x * (y * z),y).
(x * ((x \ K(y,z)) * ((K(y,z) \ u) * 1))) \ ((u * K(y,z)) * K(z,y)) = a(x,x * K(y,z),(K(y,z) \ u) * (K(y,z) * K(z,y))).
(x * ((x \ K(y,z)) * ((K(z,y) * u) * 1))) \ ((u * K(y,z)) * K(z,y)) = a(x,x * K(y,z),(K(y,z) \ u) * (K(y,z) * K(z,y))).
(x * ((x \ K(y,z)) * (K(z,y) * u))) \ ((u * K(y,z)) * K(z,y)) = a(x,x * K(y,z),(K(y,z) \ u) * (K(y,z) * K(z,y))).
(x * ((x \ K(y,z)) * (K(z,y) * u))) \ u = a(x,x * K(y,z),(K(y,z) \ u) * (K(y,z) * K(z,y))).
(x * ((x \ K(y,z)) * (K(z,y) * u))) \ u = a(x,x * K(y,z),(K(z,y) * u) * (K(y,z) * K(z,y))).
(x * ((x \ K(y,z)) * (K(z,y) * u))) \ u = a(x,x * K(y,z),(K(z,y) * u) * 1).
(x * ((x \ K(y,z)) * (K(z,y) * u))) \ u = a(x,x * K(y,z),K(z,y) * u).
(x * x) \ 1 = L(((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))),x,x).
x \ (x \ 1) = L(((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))),x,x).
x \ (x \ 1) = ((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))).
((T(T(x,y),z) * (z * u)) * z) / (w * (w * ((T(T(x,z),y) * (z * u)) * z))) = w \ (w \ 1).
((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x * (x \ (x \ 1))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * ((x * (x \ (x \ 1))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * ((x \ 1) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * ((x \ 1) * (v5 * ((x * (x \ (x \ 1))) * 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * ((x \ 1) * (v5 * ((x \ 1) * 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * ((x \ 1) * (v5 * (x \ 1))))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * ((x \ 1) * (v5 / x)))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (x * (x \ (v5 / x)))) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
((x \ 1) * (v5 / x)) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x * (x \ (x \ 1))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x * (x \ (x \ 1))) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * ((x * (x \ (x \ 1))) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * ((x \ 1) * (x * ((x * (((T(T(y,z),u) * (u * w)) * u) / (x * (x * ((T(T(y,u),z) * (u * w)) * u))))) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * ((x \ 1) * (x * ((x * (x \ (x \ 1))) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * ((x \ 1) * (x * ((x \ 1) * v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * ((x \ 1) * (x * (x \ v6)))))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * ((x \ 1) * v6)))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * ((x \ 1) * (v5 * (x \ v6)))).
(x \ (v5 / x)) * v6 = (x \ 1) * (x * (x \ (v5 * (x \ v6)))).
(x \ (v5 / x)) * v6 = (x \ 1) * (v5 * (x \ v6)).
(x \ (v5 / x)) * v6 = x \ (v5 * (x \ v6)).
x \ (y * (x \ z)) = (x \ (y / x)) * z.
L(x * (y * z),x * y,x) = (x * y) * z.
T(x,L(y * z,y * x,y)) = T(x,(x * y) * z).
x \ (y * ((y \ x) * z)) = L(z,y * x,y).
R(x,y,(x * y) \ z) * ((y * ((x * y) \ z)) / z) = 1.
R(x,x \ y,z) \ 1 = ((x \ y) * z) / (y * z).
R(x,x \ y,z) \ 1 = R(x \ 1,y,z).
R(x,y,(x * y) \ z) \ 1 = (y * ((x * y) \ z)) / z.
L(x,y / x,z \ 1) = ((x / y) * z) * (z \ y).
L(x,y / x,z \ 1) = z * ((z \ (x / y)) * y).
L(x,y / x,z \ 1) = R(x,y \ 1,z).
(x / y) * (x \ y) = K(x \ 1,y).
(x / y) * (((y / x) * z) * x) = (z * (x / y)) * y.
(x \ y) / x = x \ (y / x).
T(x \ y,z) / x = x \ T(y / x,z).
x / ((y * x) / y) = ((y * x) / y) \ x.
x * (y / (y * x)) = ((y * x) / y) \ x.
x * (y / (y * x)) = (y / (y * x)) * x.
(x / (x * y)) * y = y * (x / (x * y)).
R(x,y \ z,T(y,z)) * z = (x * (y \ z)) * T(y,z).
R(x,y \ z,y) * T(z,y) = (x * (y \ z)) * y.
T(R(x / y,y,z),y * z) = (y * z) \ (x * z).
R(T(x / y,y * z),y,z) = (y * z) \ (x * z).
L(x,y,R(z / y,y,x)) = L(x,y,z * x).
((x / y) * (z * L(z \ y,z,x))) \ x = a(x / y,z,((x / y) * z) \ x).
(x * (z * L(z \ y,z,x))) \ (x * y) = a(x / y,z,((x / y) * z) \ x).
a(x,z,(x * z) \ (x * y)) = a(x / y,z,((x / y) * z) \ x).
a(x,z,(x * z) \ (x * y)) = a(x / y,z,(x * z) \ (x * y)).
a(x / y,z,(x * z) \ (x * y)) = a(x,z,(x * z) \ (x * y)).
L((x / (x / y)) \ y,x / (x / y),x) = K(x / (x / y),x / y).
L((x * (y / x)) \ y,x / (x / y),x) = K(x / (x / y),x / y).
L(K(y / x,x),x / (x / y),x) = K(x / (x / y),x / y).
L(K(y / x,x),x * (y / x),x) = K(x / (x / y),x / y).
K(x * (y / x),x) = K(x / (x / y),x / y).
K(x \ 1,y) = K(x / (x / y),x / y).
K(x \ 1,y) = K(x * (y / x),x / y).
K(x * (y / x),x / y) = K(x \ 1,y).
L(x \ T(y,z),x,z) = ((y \ z) * x) \ z.
(z * x) \ (y * z) = ((y \ z) * x) \ z.
((x \ y) * z) \ y = (y * z) \ (x * y).
L(x \ (y * z),x,z) = ((y \ 1) * x) \ z.
L(x \ (y * z),x,z) = (y \ x) \ z.
L(x \ (y * z),x,z) = (x \ y) * z.
L(x,T(y,z) / x,y \ z) = (z * (T(y,z) / x)) \ (y * z).
T(T((x * (y \ z)) * x,x),T(z,y)) = T(x * (x * (y \ z)),y).
T(T(x * ((y \ z) * x),x),T(z,y)) = T(x * (x * (y \ z)),y).
T(((y \ z) * x) * x,T(z,y)) = T(x * (x * (y \ z)),y).
T((x \ y) * (z * z),T(y,x)) = T(z * (z * (x \ y)),x).
x \ (y \ 1) = x * (((x \ z) / y) / T(x * z,y \ 1)).
x * (((x \ y) / z) / T(x * y,z \ 1)) = x \ (z \ 1).
((x * (((x \ y) / z) / T(x * y,z \ 1))) * x) \ (z \ 1) = K(x,x * (((x \ y) / z) / T(x * y,z \ 1))).
((x \ (z \ 1)) * x) \ (z \ 1) = K(x,x * (((x \ y) / z) / T(x * y,z \ 1))).
T(z \ 1,x) \ (z \ 1) = K(x,x * (((x \ y) / z) / T(x * y,z \ 1))).
K((z \ 1) \ x,z \ 1) = K(x,x * (((x \ y) / z) / T(x * y,z \ 1))).
K((1 \ z) * x,z \ 1) = K(x,x * (((x \ y) / z) / T(x * y,z \ 1))).
K(z * x,z \ 1) = K(x,x * (((x \ y) / z) / T(x * y,z \ 1))).
K(x * y,x \ 1) = K(y,y \ (x \ 1)).
(x \ 1) * (K(y * (((y \ z) / x) / T(y * z,x \ 1)),y) * ((y * (y * (((y \ z) / x) / T(y * z,x \ 1)))) * u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ 1) * (K(y * (y \ (y \ (x \ 1))),y) * ((y * (y * (((y \ z) / x) / T(y * z,x \ 1)))) * u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ 1) * (K(y \ (x \ 1),y) * ((y * (y * (((y \ z) / x) / T(y * z,x \ 1)))) * u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ 1) * (K(y \ (x \ 1),y) * ((y * (y * (y \ (y \ (x \ 1))))) * u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ 1) * (K(y \ (x \ 1),y) * ((y * (y \ (x \ 1))) * u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ 1) * (K(y \ (x \ 1),y) * ((x \ 1) * u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ 1) * (K(y \ (x \ 1),y) * (x \ u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
x \ (K(y \ (x \ 1),y) * (x \ u)) = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (((y * (((y \ z) / x) / T(y * z,x \ 1))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (((y * (y \ (y \ (x \ 1)))) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (((y \ (x \ 1)) * y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (T(x \ 1,y) * (y * (y * (((y \ z) / x) / T(y * z,x \ 1))))) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (T(x \ 1,y) * (y * (y * (y \ (y \ (x \ 1)))))) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (T(x \ 1,y) * (y * (y \ (x \ 1)))) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (T(x \ 1,y) * (x \ 1)) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (T(x \ 1,y) / x) * u.
(x \ (K(y \ (x \ 1),y) / x)) * u = (x \ T(1 / x,y)) * u.
(x \ (K(y \ (x \ 1),y) / x)) * z = (x \ T(x \ 1,y)) * z.
(x * x) \ (y \ 1) = L(z / T(x * (x * (z * y)),y \ 1),x,x).
x \ (x \ (y \ 1)) = L(z / T(x * (x * (z * y)),y \ 1),x,x).
x \ (x \ (y \ 1)) = z / T(x * (x * (z * y)),y \ 1).
x / T(y * (y * (x * z)),z \ 1) = y \ (y \ (z \ 1)).
x * (x * (x / T(x * (y \ 1),(z / T(x * (x * (z * y)),y \ 1)) \ 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,(z / T(x * (x * (z * y)),y \ 1)) \ 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,(x \ (x \ (y \ 1))) \ 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,((x \ (y \ 1)) \ x) * 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,(((y \ 1) \ x) * x) * 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,(((1 \ y) * x) * x) * 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,((y * x) * x) * 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,(y * (x * x)) * 1))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,y * (x * x)))) = (z / T(x * (x * (z * y)),y \ 1)) \ 1.
x * (x * (x / T(x / y,y * (x * x)))) = (x \ (x \ (y \ 1))) \ 1.
x * (x * (x / T(x / y,y * (x * x)))) = ((x \ (y \ 1)) \ x) * 1.
x * (x * (x / T(x / y,y * (x * x)))) = (((y \ 1) \ x) * x) * 1.
x * (x * (x / T(x / y,y * (x * x)))) = (((1 \ y) * x) * x) * 1.
x * (x * (x / T(x / y,y * (x * x)))) = ((y * x) * x) * 1.
x * (x * (x / T(x / y,y * (x * x)))) = (y * (x * x)) * 1.
x * (x * (x / T(x / y,y * (x * x)))) = y * (x * x).
L((K(x,y) \ z) * 1,K(x,y),u) = (u * K(x,y)) \ (u * ((z * K(x,y)) * K(y,x))).
L((K(y,x) * z) * 1,K(x,y),u) = (u * K(x,y)) \ (u * ((z * K(x,y)) * K(y,x))).
L(K(y,x) * z,K(x,y),u) = (u * K(x,y)) \ (u * ((z * K(x,y)) * K(y,x))).
L(K(x,y) * z,K(y,x),u) = (u * K(y,x)) \ (u * z).
((x * y) * z) / (((u \ (x / u)) * (u * y)) * z) = R(u,(u \ (x / u)) * (u * y),z).
R(x,(x \ (y / x)) * (x * z),u) = ((y * z) * u) / (((x \ (y / x)) * (x * z)) * u).
a((x \ y) / z,x,T(y,x) \ ((x \ y) * z)) = a(x \ y,x,((x \ y) * x) \ ((x \ y) * z)).
a((x \ y) / z,x,T(y,x) \ ((x \ y) * z)) = a(x \ y,x,T(y,x) \ ((x \ y) * z)).
L(x,y \ z,(z \ y) * T(u,z \ y)) = L(x,(z \ y) \ u,z \ y).
L(x,y \ z,u * (z \ y)) = L(x,(z \ y) \ u,z \ y).
L(x,y \ z,u * (z \ y)) = L(x,(y \ z) * u,z \ y).
L(x,(y \ z) * u,z \ y) = L(x,y \ z,u * (z \ y)).
x \ ((y \ z) * (((z \ y) * x) * u)) = L(u,z \ y,x * (y \ z)).
K(K(x,y),x) = 1.
T(K(x,y),x) = K(x,y).
(x * K(x,y)) * 1 = K(x,y) * x.
x * K(x,y) = K(x,y) * x.
K(x,y) * x = x * K(x,y).
1 * K(x,K(x,y)) = 1.
K(x,K(x,y)) = 1.
T(x,K(x,y)) = x.
K(x,y) / x = x \ K(x,y).
x / K(x,y) = K(x,y) \ x.
x * K(y,x) = K(x,y) \ x.
x * K(y,x) = K(y,x) * x.
K(x,y) * y = y * K(x,y).
T(x,((y * x) / y) \ x) = x.
T(x,(y / (y * x)) * x) = x.
T(x,x * (y / (y * x))) = x.
T(x,y / (y * x)) = x.
T(x,K(x,y) \ x) = x.
T(x,K(y,x) * x) = x.
T(x,x * K(y,x)) = x.
T(x,K(y,x)) = x.
K(x,y) / y = y \ K(x,y).
T(K(x,y),z) = T(T(K(x,y),z),x).
T(T(K(x,y),z),x) = T(K(x,y),z).
R(x,y,(x * y) \ z) * ((R(x,y,(x * y) \ z) \ u) * 1) = (u * R(x,y,(x * y) \ z)) * ((y * ((x * y) \ z)) / z).
R(x,y,(x * y) \ z) * (R(x,y,(x * y) \ z) \ u) = (u * R(x,y,(x * y) \ z)) * ((y * ((x * y) \ z)) / z).
u = (u * R(x,y,(x * y) \ z)) * ((y * ((x * y) \ z)) / z).
(x * R(y,z,(y * z) \ u)) * ((z * ((y * z) \ u)) / u) = x.
R(x,R(y,z,(y * z) \ u),(z * ((y * z) \ u)) / u) * 1 = (x * R(y,z,(y * z) \ u)) * ((z * ((y * z) \ u)) / u).
R(x,R(y,z,(y * z) \ u),(z * ((y * z) \ u)) / u) = (x * R(y,z,(y * z) \ u)) * ((z * ((y * z) \ u)) / u).
R(x,R(y,z,(y * z) \ u),(z * ((y * z) \ u)) / u) = x.
R(x / R(y,z,(y * z) \ u),R(y,z,(y * z) \ u),(z * ((y * z) \ u)) / u) = (x * ((z * ((y * z) \ u)) / u)) / 1.
x / R(y,z,(y * z) \ u) = (x * ((z * ((y * z) \ u)) / u)) / 1.
x / R(y,z,(y * z) \ u) = x * ((z * ((y * z) \ u)) / u).
(x * ((x * ((y * x) * z)) * u)) \ ((x * (x * (x * ((x \ y) * (x * z))))) * u) = a(x * (x * x),(x \ y) * (x * z),u).
(x * ((x * ((y * x) * z)) * u)) \ ((x * (x * ((y * x) * z))) * u) = a(x * (x * x),(x \ y) * (x * z),u).
(x * ((x * ((y * x) * z)) * u)) \ (x * (x * (((y * x) * z) * u))) = a(x * (x * x),(x \ y) * (x * z),u).
(((x * ((y * x) * z)) * u) \ x) * (((y * x) * z) * u) = a(x * (x * x),(x \ y) * (x * z),u).
a(x,x * ((y * x) * z),u) = a(x * (x * x),(x \ y) * (x * z),u).
a(x,x * ((y * x) * z),u) = a(x,(x \ y) * (x * z),u).
a(x,(x \ y) * (x * z),u) = a(x,x * ((y * x) * z),u).
T(x,y) * ((y \ z) * (y * u)) = y * ((y \ (y \ x)) * ((z * y) * u)).
T(x,y) * ((y \ z) * (y * u)) = y \ (x * ((z * y) * u)).
(x * x) \ (y * (x * x)) = L(x / T(x / y,y * (x * x)),x,x).
T(y,x * x) = L(x / T(x / y,y * (x * x)),x,x).
T(y,x * x) = x / T(x / y,y * (x * x)).
x / T(x / y,y * (x * x)) = T(y,x * x).
((x / y) * (z * (y * y))) \ (x * (y * (y / T(y / z,z * (y * y))))) = a(x / y,y,y * (y / T(y / z,z * (y * y)))).
((x / y) * (z * (y * y))) \ (x * (y * T(z,y * y))) = a(x / y,y,y * (y / T(y / z,z * (y * y)))).
((x / y) * (z * (y * y))) \ (x * (y * T(z,y * y))) = a(x / y,y,y * T(z,y * y)).
L((x * (y * y)) \ z,y * (y * (y / T(y / x,x * (y * y)))),y) = (y * (y / T(y / x,x * (y * y)))) \ (y \ z).
L((x * (y * y)) \ z,y * (y * T(x,y * y)),y) = (y * (y / T(y / x,x * (y * y)))) \ (y \ z).
L((x * (y * y)) \ z,x * (y * y),y) = (y * (y / T(y / x,x * (y * y)))) \ (y \ z).
L((x * (y * y)) \ z,x * (y * y),y) = (y * T(x,y * y)) \ (y \ z).
T(x * (y * y),y) = (y * (y / T(y / x,x * (y * y)))) * y.
T(x * (y * y),y) = (y * T(x,y * y)) * y.
T(x * (y * y),y) = y * (T(x,y * y) * y).
x * (T(y,x * x) * x) = T(y * (x * x),x).
T((x * (x / T(x / y,y * (x * x)))) * x,x * (x / T(x / y,y * (x * x)))) = y * (x * x).
T((x * T(y,x * x)) * x,x * (x / T(x / y,y * (x * x)))) = y * (x * x).
T(x * (T(y,x * x) * x),x * (x / T(x / y,y * (x * x)))) = y * (x * x).
T(T(y * (x * x),x),x * (x / T(x / y,y * (x * x)))) = y * (x * x).
T(T(x * (y * y),y),y * T(x,y * y)) = x * (y * y).
((x \ y) \ ((y \ x) \ (z \ 1))) * ((y \ x) * ((((y \ x) \ z) * 1) * u)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
((x \ y) \ ((x \ y) * (z \ 1))) * ((y \ x) * ((((y \ x) \ z) * 1) * u)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
((x \ y) \ ((x \ y) / z)) * ((y \ x) * ((((y \ x) \ z) * 1) * u)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
(z \ 1) * ((y \ x) * ((((y \ x) \ z) * 1) * u)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
(z \ 1) * ((y \ x) * ((((x \ y) * z) * 1) * u)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
(z \ 1) * ((y \ x) * (((x \ y) * z) * u)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
z \ ((y \ x) * (((x \ y) * z) * u)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
L(u,x \ y,z * (y \ x)) = L(u,(y \ x) * ((z * (y \ x)) * (x \ y)),y \ x).
L(u,x \ y,z * (y \ x)) = L(u,(y \ x) * z,y \ x).
L(x,(y \ z) * u,y \ z) = L(x,z \ y,u * (y \ z)).
((x / y) * (((y * y) \ 1) * (y * y))) \ (x * (y * T((y * y) \ 1,y * y))) = a(x / y,y,y * ((y * y) \ 1)).
((x / y) * ((y \ (y \ 1)) * (y * y))) \ (x * (y * T((y * y) \ 1,y * y))) = a(x / y,y,y * ((y * y) \ 1)).
((x / y) * T(y * (y \ 1),y * y)) \ (x * (y * T((y * y) \ 1,y * y))) = a(x / y,y,y * ((y * y) \ 1)).
((x / y) * T(1,y * y)) \ (x * (y * T((y * y) \ 1,y * y))) = a(x / y,y,y * ((y * y) \ 1)).
((x / y) * 1) \ (x * (y * T((y * y) \ 1,y * y))) = a(x / y,y,y * ((y * y) \ 1)).
(x / y) \ (x * (y * T((y * y) \ 1,y * y))) = a(x / y,y,y * ((y * y) \ 1)).
(x / y) \ (x * (y * T(y \ (y \ 1),y * y))) = a(x / y,y,y * ((y * y) \ 1)).
(y / x) * (x * (y * T(y \ (y \ 1),y * y))) = a(x / y,y,y * ((y * y) \ 1)).
(y / x) * (x * (y * T(y \ (y \ 1),y * y))) = a(x / y,y,y * (y \ (y \ 1))).
(y / x) * (x * (y * T(y \ (y \ 1),y * y))) = a(x / y,y,y \ 1).
(x / y) * (y * (x * T(x \ (x \ 1),x * x))) = 1.
T(x,(y * (x / y)) \ 1) = x.
T(x,(x / y) \ (y \ 1)) = x.
T(x,(y / x) * (y \ 1)) = x.
T(x,(y / x) / y) = x.
K(x,y / (y * x)) = 1.
T(x,(T(T(T(y,z),u),x \ 1) / x) / T(T(T(y,x \ 1),z),u)) = x.
K(x \ y,x / y) = 1.
L(x,y * (z * (z * y)),u * (z * z)) = x.
((x / y) * y) \ 1 = L(x * T(x \ (x \ 1),x * x),y,x / y).
x \ 1 = L(x * T(x \ (x \ 1),x * x),y,x / y).
x \ 1 = L(x * T(x \ (x \ 1),x * x),y,x).
L(x * T(x \ (x \ 1),x * x),y,x) = x \ 1.
L(x,y * ((y \ z) * T(z,y)),u * ((y \ z) * (y \ z))) = x.
K(T(x,y) * y,T(x,y) / (x * y)) = K(T(x,y) \ 1,x * y).
K(T(x * y,y),T(x,y) / (x * y)) = K(T(x,y) \ 1,x * y).
K(T(x * y,y),y \ 1) = K(T(x,y) \ 1,x * y).
K(x \ (y / (x \ 1)),(x \ 1) / y) = K((x \ 1) \ 1,y).
K(x \ (y * (1 \ x)),(x \ 1) / y) = K((x \ 1) \ 1,y).
K(x \ (y * x),(x \ 1) / y) = K((x \ 1) \ 1,y).
K(T(y,x),(x \ 1) / y) = K((x \ 1) \ 1,y).
K(T(y,x),x \ (y \ 1)) = K((x \ 1) \ 1,y).
K(T(y,x),x \ (y \ 1)) = K((1 \ x) * 1,y).
K(T(y,x),x \ (y \ 1)) = K(x * 1,y).
K(T(x,y),y \ (x \ 1)) = K(y,x).
K((x \ y) * (y / (x \ y)),x \ 1) = K((x \ y) \ 1,y).
K((x \ y) * (y * (y \ x)),x \ 1) = K((x \ y) \ 1,y).
K((x \ y) * x,x \ 1) = K((x \ y) \ 1,y).
K(T(y,x),x \ 1) = K((x \ y) \ 1,y).
K(T(y,x),x \ 1) = K((y \ x) * 1,y).
K(T(x,y),y \ 1) = K(x \ y,x).
(((x \ y) * z) * y) \ (((x \ y) * (z * (x \ y))) * T(x,y)) = a(x \ y,z * (x \ y),T(x,y)).
(((x \ y) * z) * y) \ ((x \ y) * (z * ((x \ y) * T(x,y)))) = a(x \ y,z * (x \ y),T(x,y)).
(((x \ y) * z) * y) \ ((x \ y) * (z * y)) = a(x \ y,z * (x \ y),T(x,y)).
a(x \ y,z,y) \ 1 = a(x \ y,z * (x \ y),T(x,y)).
a(x \ y,z * (x \ y),T(x,y)) = a(x \ y,z,y) \ 1.
T(x \ y,((x \ y) * z) * y) = T(x \ y,(z * (x \ y)) * T(x,y)).
T(x \ y,(z * (x \ y)) * T(x,y)) = T(x \ y,((x \ y) * z) * y).
(((x \ y) * z) * x) \ ((z * (y \ x)) * T(y,x)) = T(y \ x,((y \ x) * z) * x).
((x \ y) * ((y \ x) * z)) \ ((z * (x \ y)) * T(x,y)) = L(y,(y \ x) * z,x \ y).
z \ ((z * (x \ y)) * T(x,y)) = L(y,(y \ x) * z,x \ y).
((x \ y) / z) * (z * T(x,y)) = L(y,(y \ x) * z,x \ y).
((x \ y) / z) * (z * T(x,y)) = L(y,y \ x,z * (x \ y)).
L(x,x \ y,z * (y \ x)) = ((y \ x) / z) * (z * T(y,x)).
(((x \ y) * z) * x) \ ((z * (y \ x)) * T(y,x)) = T(y \ x,((x \ y) * z) * x).
T(y \ x,((y \ x) * z) * x) = T(y \ x,((x \ y) * z) * x).
T(x \ y,((y \ x) * z) * y) = T(x \ y,((x \ y) * z) * y).
(x \ y) * ((y \ x) * ((y \ x) * (z * y))) = (((y \ x) * z) * (x \ y)) * T(x,y).
(y \ x) * (z * y) = (((y \ x) * z) * (x \ y)) * T(x,y).
(y \ x) * (z * y) = T(z,x \ y) * T(x,y).
T(x,y \ z) * T(y,z) = (z \ y) * (x * z).
((x * (y \ z)) * T(y,z)) / T(y \ z,((z \ y) * x) * z) = ((z \ y) * x) * z.
(x \ y) * (((y \ x) / z) * y) = ((z \ 1) * (x \ y)) * T(x,y).
(x \ y) * (((y \ x) / z) * y) = (z \ (x \ y)) * T(x,y).
((x \ y) * ((y \ x) * z)) * L(y,(y \ x) * z,x \ y) = (z * (x \ y)) * T(x,y).
z * L(y,(y \ x) * z,x \ y) = (z * (x \ y)) * T(x,y).
x * L(y,y \ z,x * (z \ y)) = (x * (z \ y)) * T(z,y).
a(x / (y * y),y,y * z) = (x * z) \ ((x / y) * (y * z)).
a(x / (y * y),y,y * z) = a(x,y \ 1,y * z).
L(x,y \ z,u) = L(x,z \ y,u * (y \ z)).
L(x,y \ z,u * (z \ y)) = L(x,z \ y,u).
x \ (y * ((y \ x) * z)) = L(z,y,x).
T(x,L(y * z,y,x)) = T(x,(x * y) * z).
L(x * (y * z),x,y) = (x * y) * z.
L(x,y * z,y \ 1) = L(x,y,z).
L(T(x,y * z),y,z) = z \ (y \ (x * (y * z))).
x \ (y \ (z * (y * x))) = L(T(z,y * x),y,x).
x * L(y,z \ y,x) = (x * (z \ y)) * T(z,y).
(x * (y \ z)) * T(y,z) = x * L(z,y \ z,x).
L(x,y \ x,z) = ((y \ x) / z) * (z * T(y,x)).
((x \ y) / z) * (z * T(x,y)) = L(y,x \ y,z).
T(x,y) / x = K(x,y).
K(x \ 1,y * x) = K(y,x).
K(T(x,y),y \ 1) = K(y,x).
(x \ (K(x \ 1,y) / x)) * z = (x \ T(x \ 1,y)) * z.
x / T(x,y) = K(y,x).
K(y,x) = K(y,y \ x).
K(x,x \ y) = K(x,y).
T(x,y) \ x = K(y,x).
x * K(x,y) = T(x,y).
K(y,x * y) = K(T(x,y) \ 1,x * y).
K(T(x,y) \ 1,x * y) = K(y,x * y).
K(x,y * x) = K(x,T(y,x)).
K(x * y,x \ 1) = K(y,x \ 1).
K(x,y / x) = K(y,x \ 1).
K(x,y \ 1) = K(y,x / y).
K(x,y) * x = T(x,y).
K(T(x,y) \ 1,x * y) = K(y,T(x,y)).
((x \ (y \ 1)) * (y * y)) \ (y / x) = K(x \ y,y \ 1).
((x * (x / y)) * x) \ (x * (x * (x / y))) = K(x,T(x,x) * (x / y)).
(x * ((x / y) * x)) \ (x * (x * (x / y))) = K(x,T(x,x) * (x / y)).
(x * (x * (y \ x))) \ (x * (x * (x / y))) = K(x,T(x,x) * (x / y)).
(((x * (x * (y \ x))) \ x) * x) * (x / y) = K(x,T(x,x) * (x / y)).
(((x * (y \ x)) \ 1) * x) * (x / y) = K(x,T(x,x) * (x / y)).
(((y \ x) \ (x \ 1)) * x) * (x / y) = K(x,T(x,x) * (x / y)).
(((x \ y) * (x \ 1)) * x) * (x / y) = K(x,T(x,x) * (x / y)).
(((x \ y) / x) * x) * (x / y) = K(x,T(x,x) * (x / y)).
((x \ (y / x)) * x) * (x / y) = K(x,T(x,x) * (x / y)).
T(y / x,x) * (x / y) = K(x,T(x,x) * (x / y)).
(x \ y) * (x / y) = K(x,T(x,x) * (x / y)).
K(x,y \ 1) = K(x,T(x,x) * (x / y)).
K(x,y \ 1) = K(x,x * (x / y)).
K(x,y \ 1) = K(x,x / y).
L((x * (y * y)) \ (z * y),x * (y * y),y) = (y * T(x,y * y)) \ T(z,y).
((x * (y * y)) \ z) * y = (y * T(x,y * y)) \ T(z,y).
(x * T(y,x * x)) \ T(z,x) = ((y * (x * x)) \ z) * x.
((x / y) * (x \ y)) * 1 = (x \ y) * (x / y).
K(x \ 1,y) * 1 = (x \ y) * (x / y).
K(x \ 1,y) = (x \ y) * (x / y).
K(x \ 1,y) = K(x,y \ 1).
K(T(x,y),(x * y) \ 1) = K(y,T(x,y)).
K(T(x,y),y \ (x \ 1)) = K(y,T(x,y)).
K(y,x) = K(y,T(x,y)).
K(x,T(y,x)) = K(x,y).
(x \ (K(x,y \ 1) / x)) * z = (x \ T(x \ 1,y)) * z.
(x \ (x \ K(x,y \ 1))) * z = (x \ T(x \ 1,y)) * z.
K(x,(y * x) \ 1) = K(y,x).
K(x,x \ (y \ 1)) = K(y,x).
K(x,y \ 1) = K(y,x).
(x \ (x \ K(y,x))) * z = (x \ T(x \ 1,y)) * z.
(x \ T(x \ 1,y)) * z = (x \ (x \ K(y,x))) * z.
K(y,x) = K(x,x / y).
K(x,x / y) = K(y,x).
((x \ (y \ 1)) * (y * y)) \ (y / x) = K(y,x \ y).
K(y,x) = K(y,x / y).
K(x,y / x) = K(x,y).
x \ (y * (x / y)) = K(y,x).
L(x,T(y,x),y * x) = x.
L(x \ y,x,x * z) = (x * (z * x)) \ ((x * z) * y).
(x * (y * x)) \ ((x * y) * z) = L(x \ z,x,x * y).
((x / (y * z)) * (y * (z * y))) \ (x * y) = a(x / (y * z),y * z,y).
(T(x,y) * (x \ y)) * T(x,y) = T(x,y) * y.
T(y,x \ y) * T(x,y) = T(x,y) * y.
(y \ x) * (y * y) = T(x,y) * y.
T(y * x,y * y) = T(x,y) * y.
T(x * y,x * x) = T(y * x,x).
((x * y) * (z * x)) \ ((x * (y * x)) * T(z,x)) = a(x * y,x,T(z,x)).
((x * y) * (z * x)) \ (x * (y * (x * T(z,x)))) = a(x * y,x,T(z,x)).
((x * y) * (z * x)) \ (x * (y * (z * x))) = a(x * y,x,T(z,x)).
a(x,y,z * x) \ 1 = a(x * y,x,T(z,x)).
a(x * y,x,T(z,x)) = a(x,y,z * x) \ 1.
R(x,y * z,y) * (y * (z * y)) = (x * (y * z)) * y.
R((x * y) / z,z,x) = (x * (y * x)) / (z * x).
a((x * y) / z,x,(x * (y * x)) \ ((x * y) * z)) = a(x * y,x,((x * y) * x) \ ((x * y) * z)).
a((x * y) / z,x,L(x \ z,x,x * y)) = a(x * y,x,((x * y) * x) \ ((x * y) * z)).
a((x * y) / z,x,L(x \ z,x,x * y)) = a(x * y,x,(x * (y * x)) \ ((x * y) * z)).
a((x * y) / z,x,L(x \ z,x,x * y)) = a(x * y,x,L(x \ z,x,x * y)).
(x \ y) * (x * x) = T(y * x,x).
x \ 1 = x * T(x \ (x \ 1),x * x).
x * T(x \ (x \ 1),x * x) = x \ 1.
(x * y) * (x \ 1) = x * (y * (x * T(x \ (x \ 1),x * x))).
(x * y) / x = x * (y * (x * T(x \ (x \ 1),x * x))).
(x * y) / x = x * (y * (x \ 1)).
(x * y) / x = x * (y / x).
a((x / y) * (y * ((x / y) * (x / y))),z,u) = a(x,(x / y) * ((x / y) * z),u).
a(x * (x * (y \ (x / y))),z,u) = a(x,(x / y) * ((x / y) * z),u).
a(y \ (x / y),z,u) = a(x,(x / y) * ((x / y) * z),u).
a(x,(x / y) * ((x / y) * z),u) = a(y \ (x / y),z,u).
x / (T(T(y,z),u) * ((y \ z) * ((T(y,u) * ((y \ z) * (y \ z))) \ x))) = y \ z.
x / (T(y,z) * ((u \ y) * ((T(T(y,u),z) * ((u \ y) * (u \ y))) \ x))) = u \ y.
x / (T(y,z) * ((u \ y) * ((u \ y) \ ((u \ y) \ (T(T(y,u),z) \ x))))) = u \ y.
x / (T(y,z) * ((u \ y) * ((u \ y) \ ((y \ u) * (T(T(y,u),z) \ x))))) = u \ y.
x / (T(y,z) * ((u \ y) * ((y \ u) * ((y \ u) * (T(T(y,u),z) \ x))))) = u \ y.
x / (T(y,z) * ((y \ u) * (T(T(y,u),z) \ x))) = u \ y.
x / (T(T(K(y,z),u),y) * (u * ((K(y,z) * (u * u)) \ x))) = u.
x / (T(K(y,z),u) * (u * ((K(y,z) * (u * u)) \ x))) = u.
x / (T(K(y,z),u) * (u * (u \ (u \ (K(y,z) \ x))))) = u.
x / (T(K(y,z),u) * (u * (u \ (u \ (K(z,y) * x))))) = u.
x / (T(K(y,z),u) * (u * ((u \ (u \ K(z,y))) * x))) = u.
x / (T(K(y,z),u) * (u \ (K(z,y) * x))) = u.
x / (T(T(y,z),u) * ((y \ z) * ((y \ z) \ ((y \ z) \ (T(y,u) \ x))))) = y \ z.
x / (T(T(y,z),u) * ((y \ z) * ((y \ z) \ ((z \ y) * (T(y,u) \ x))))) = y \ z.
x / (T(T(y,z),u) * ((y \ z) * ((z \ y) * ((z \ y) * (T(y,u) \ x))))) = y \ z.
x / (T(T(y,z),u) * ((z \ y) * (T(y,u) \ x))) = y \ z.
y \ (y \ ((x \ (y \ 1)) \ (y / x))) = K(y,x \ y).
y \ (y \ (((y \ 1) \ x) * (y / x))) = K(y,x \ y).
y \ (y \ (((1 \ y) * x) * (y / x))) = K(y,x \ y).
y \ (y \ ((y * x) * (y / x))) = K(y,x \ y).
y \ (y \ (y * ((x * y) / x))) = K(y,x \ y).
y \ (y \ (y * (x * (y / x)))) = K(y,x \ y).
y \ (x * (y / x)) = K(y,x \ y).
K(x,y) = K(y,x \ y).
K(x,y \ x) = K(y,x).
(x * T(y,x * x)) \ T(z,x) = (x \ (x \ (y \ z))) * x.
(x * T(y,x * x)) \ T(z,x) = T(x \ (y \ z),x).
(x * (y * (z * x))) \ (x * (z * (x * T(y,z * x)))) = a(x * z,x,T(y,z * x)).
(x * (y * (x * z))) \ (x * (y * (x * L(z,x,y)))) = a(x * y,x,L(z,x,y)).
((x \ y) * ((z * (x \ y)) * x)) \ ((x \ y) * (z * T(y,x))) = a((x \ y) * z,x \ y,x).
(((x \ y) * z) * T(y,x)) \ ((x \ y) * (z * T(y,x))) = a((x \ y) * z,x \ y,x).
a(x \ y,z,T(y,x)) \ 1 = a((x \ y) * z,x \ y,x).
a((x \ y) * z,x \ y,x) = a(x \ y,z,T(y,x)) \ 1.
R(x * y,y * x,(y * x) \ (K(x,y) \ z)) = ((y * x) * z) / (K(x,y) \ z).
R(x * y,y * x,(y * x) \ (K(y,x) * z)) = ((y * x) * z) / (K(x,y) \ z).
R(x * y,y * x,(y * x) \ (K(y,x) * z)) = ((y * x) * z) / (K(y,x) * z).
R(x * y,y * x,(y * x) \ (K(y,x) * z)) = R(x * y,K(y,x),z).
T((x \ 1) * (y * y),1) = T(y * (y * (x \ 1)),x).
T(x \ (y * y),1) = T(y * (y * (x \ 1)),x).
x \ (y * y) = T(y * (y * (x \ 1)),x).
x \ (y * y) = T(y * (y / x),x).
T(x * (x / y),y) = y \ (x * x).
(1 * (x * (1 * (y * (x * 1))))) / z = 1 * (x * (1 * (y * (1 * (x * (1 / z)))))).
(1 * (x * (1 * (y * x)))) / z = 1 * (x * (1 * (y * (1 * (x * (1 / z)))))).
(1 * (x * (y * x))) / z = 1 * (x * (1 * (y * (1 * (x * (1 / z)))))).
(x * (y * x)) / z = 1 * (x * (1 * (y * (1 * (x * (1 / z)))))).
(x * (y * x)) / z = 1 * (x * (1 * (y * (1 * (x * (z \ 1)))))).
(x * (y * x)) / z = 1 * (x * (1 * (y * (1 * (x / z))))).
(x * (y * x)) / z = 1 * (x * (1 * (y * (x / z)))).
(x * (y * x)) / z = 1 * (x * (y * (x / z))).
(x * (y * x)) / z = x * (y * (x / z)).
R((x * y) / z,z,x) = x * (y * (x / (z * x))).
R((x * y) / z,z,x) = x * (y * (z \ 1)).
R((x * y) / z,z,x) = x * (y / z).
a(x * y,y,x) = 1.
(x * (y * (y * x))) * T(z,y * x) = (y * x) * (K(x,y) * (z * (y * x))).
x * (y * (y * (x * T(z,y * x)))) = (y * x) * (K(x,y) * (z * (y * x))).
(x * y) * (K(y,x) * (z * (x * y))) = y * (x * (x * (y * T(z,x * y)))).
a(x,T(y,x),y \ x) = 1.
a(x,y,x \ y) = 1.
a(x * (y * z),(x * y) * z,a(x,y,z)) = 1.
x * L(y,K(z,x),T(x,z)) = T(x,z) * (K(z,x) * y).
L((T(x,y) / (x * y)) * z,y,x * y) = T(x,y) * ((x * y) \ z).
L((y \ 1) * z,y,x * y) = T(x,y) * ((x * y) \ z).
L(y \ z,y,x * y) = T(x,y) * ((x * y) \ z).
L(y \ z,y,x) = T(x,y) * ((x * y) \ z).
T(x,y) * ((x * y) \ z) = L(y \ z,y,x).
L((T(x,y) / y) * z,x \ y,y) = T(x,y) * (y \ z).
L((x \ y) * z,y \ x,x) = T(y,x) * (x \ z).
L(K(x,y) * z,x / T(x,y),x) = T(x,y) * (x \ z).
L(K(x,y) * z,K(y,x),x) = T(x,y) * (x \ z).
R(x,y,(x * y) \ T(z,y / x)) = L((y / x) \ y,y / x,z).
R(x,y,(x * y) \ T(z,y / x)) = L((x / y) * y,y / x,z).
R(x,y,(x * y) \ T(z,y / x)) = L(x,y / x,z).
((x \ (y * (y * z))) * (z \ (y \ (y \ u)))) / ((y * (y * z)) * (z \ (y \ (y \ u)))) = R(x \ 1,z,z \ u).
((((x \ y) * y) * z) * (z \ (y \ (y \ u)))) / ((y * (y * z)) * (z \ (y \ (y \ u)))) = R(x \ 1,z,z \ u).
(z * ((z \ ((x \ y) * y)) * (y \ (y \ u)))) / ((y * (y * z)) * (z \ (y \ (y \ u)))) = R(x \ 1,z,z \ u).
(z * ((z \ ((x \ y) * y)) * (y \ (y \ u)))) / (y * (y * (z * (z \ (y \ (y \ u)))))) = R(x \ 1,z,z \ u).
(z * ((z \ ((x \ y) * y)) * (y \ (y \ u)))) / (y * (y * (y \ (y \ u)))) = R(x \ 1,z,z \ u).
(z * ((z \ ((x \ y) * y)) * (y \ (y \ u)))) / (y * (y \ u)) = R(x \ 1,z,z \ u).
(x * ((x \ ((y \ z) * z)) * (z \ (z \ u)))) / u = R(y \ 1,x,x \ u).
(x \ y) * (x * x) = x * T(y,x * x).
T(y * x,x) = x * T(y,x * x).
x * T(y,x * x) = T(y * x,x).
T(x * y,y) \ T(z,y) = T(y \ (x \ z),y).
T(T(x * (y * y),y),T(x * y,y)) = x * (y * y).
T(x * (x / y),y) = T(x * (x / y),x * x).
y \ (x * x) = T(x * (x / y),x * x).
y \ (x * x) = T((x / y) * x,x).
y \ (x * x) = T(x * (y \ x),x).
x \ (y * y) = (x \ y) * y.
R(x,K(x,y),T(x,y) \ z) = z / (K(x,y) * ((x * K(x,y)) \ z)).
R(x,K(x,y),T(x,y) \ z) = z / (K(x,y) * (T(x,y) \ z)).
x \ (K(y,x) * (T(x,y) * z)) = L(z,T(x,y),K(y,x)).
L(T(x,y) \ z,T(x,y),K(y,x)) = x \ (K(y,x) * z).
T(x,y) \ (K(x,y) * (x * z)) = L(z,x,K(x,y)).
x * K(x,y) = T(x,T(y,x)).
T(x,y) = T(x,T(y,x)).
T(x,T(y,x)) = T(x,y).
T(x,y * x) = T(x,y).
(x * ((y * x) * z)) \ (x * (y * (x * z))) = a(x,y * x,z).
a(x * y,x,z) = a(x,y * x,z).
a(x \ y,z * (x \ y),x) = a(x \ y,z,T(y,x)) \ 1.
(x * (y * (x * z))) \ (x * (y * (x * L(z,x,y)))) = a(x,y * x,L(z,x,y)).
(x * (y * (z * x))) \ (x * (z * (x * T(y,z * x)))) = a(x,z * x,T(y,z * x)).
a((x * y) / z,x,L(x \ z,x,x * y)) = a(x,y * x,L(x \ z,x,x * y)).
a(x,y * x,T(z,x)) = a(x,y,z * x) \ 1.
x * ((x \ (y \ z)) * T(y,z)) = L(z,y \ z,x).
(x * y) \ (z * ((z \ x) * y)) = a(x,z \ 1,z * y).
a(x,z,z \ y) = a(x,z \ 1,z * y).
a(x,y \ 1,y * z) = a(x,y,y \ z).
T(x * ((x \ y) * z),y * z) = a(y / x,x,z) \ (y * z).
((y * x) \ x) * ((x \ y) * z) = L(x \ z,x,x * y).
T(y,x) \ ((x \ y) * z) = L(x \ z,x,x * y).
L(x \ y,x,x * z) = T(z,x) \ ((x \ z) * y).
((y * (y * z)) \ x) * ((x \ (y * (y * (z / u)))) * u) = a(x,y * (y * (z / u)),u).
(z \ (y \ (y \ x))) * ((x \ (y * (y * (z / u)))) * u) = a(x,y * (y * (z / u)),u).
(x \ (y \ (y \ z))) * ((((z \ y) * y) * (x / u)) * u) = a(z,y * (y * (x / u)),u).
((y * (y * z)) \ x) * ((x \ (y * (y * u))) * (u \ z)) = a(x,y * (y * u),u \ z).
(z \ (y \ (y \ x))) * ((x \ (y * (y * u))) * (u \ z)) = a(x,y * (y * u),u \ z).
(z \ (y \ (y \ x))) * ((((x \ y) * y) * u) * (u \ z)) = a(x,y * (y * u),u \ z).
(x \ (y \ (y \ z))) * (u * ((u \ ((z \ y) * y)) * x)) = a(z,y * (y * u),u \ x).
((y * z) \ x) * ((x \ y) * z) = a(x,y,z).
a(x \ 1,y,z) = a(x,y,z).
R(L(z,y \ z,x),z,z \ u) = (z * (a(y \ z,x,x \ T(y,z)) * u)) / u.
L(R(z,z,z \ u),y \ z,x) = (z * (a(y \ z,x,x \ T(y,z)) * u)) / u.
L(z,y \ z,x) = (z * (a(y \ z,x,x \ T(y,z)) * u)) / u.
(x * (a(y \ x,z,z \ T(y,x)) * u)) / u = L(x,y \ x,z).
a(x / (y * y),y,y * z) = a(x,y,y \ z).
T(x * ((x \ y) * z),y * z) = a(x,x * y,z) \ (y * z).
((x / (y * z)) * (y * (z * y))) \ (x * y) = a(y * z,(y * z) * x,y).
((x / y) * (z * y)) \ (x * T(z,y)) = a(y,y * x,T(z,y)).
((x * y) \ z) * ((z \ y) * T(x,y)) = a(z,y,T(x,y)).
((x * y) \ z) * ((z \ x) * y) = a(z,x,y).
x * ((T(K(y,z),u) * (u \ (K(z,y) * x))) \ T(w,x * u)) = x \ (w * (x * (x / (T(K(y,z),u) * (u \ (K(z,y) * x)))))).
x * ((T(K(y,z),u) * (u \ (K(z,y) * x))) \ T(w,x * u)) = x \ (w * (x * u)).
x / (K(y,z) * (y \ (K(z,y) * x))) = y.
(T(x,y) * (y \ 1)) / T(z * (z * (y \ 1)),x) = z \ (z \ T(T(x,y),y \ 1)).
(T(x,y) / y) / T(z * (z * (y \ 1)),x) = z \ (z \ T(T(x,y),y \ 1)).
(y \ x) / T(z * (z * (y \ 1)),x) = z \ (z \ T(T(x,y),y \ 1)).
(y \ x) / T(z * (z / y),x) = z \ (z \ T(T(x,y),y \ 1)).
(x \ y) / T(z * (z / x),y) = z \ (z \ y).
x * K(y,x) = T(x,x / y).
K(x,y) * y = T(y,y / x).
x * K(x,y) = T(x,y / x).
T(x,y) = T(x,y / x).
T(x,y / x) = T(x,y).
L(L(x,y,z),z,y) = T(x,L(x,y,z)).
x = T(x,L(x,y,z)).
T(x,L(x,y,z)) = x.
L(x \ y,z,x) = T(z,x) \ ((x \ z) * y).
T(x,y) \ ((y \ x) * z) = L(y \ z,x,y).
L(x \ y,x,x * z) = L(x \ y,z,x).
a((x \ y) / z,x,L(x \ z,y,x)) = a(x \ y,x,T(y,x) \ ((x \ y) * z)).
a((x \ y) / z,x,L(x \ z,y,x)) = a(x \ y,x,L(x \ z,y,x)).
a((x * y) / z,x,L(x \ z,y,x)) = a(x,y * x,L(x \ z,x,x * y)).
a((x * y) / z,x,L(x \ z,y,x)) = a(x,y * x,L(x \ z,y,x)).
(T(x,y) / (x * y)) * ((y * z) * T(x,y)) = (z * (T(x,y) / (x * y))) * (x * y).
(y \ 1) * ((y * z) * T(x,y)) = (z * (T(x,y) / (x * y))) * (x * y).
y \ ((y * z) * T(x,y)) = (z * (T(x,y) / (x * y))) * (x * y).
y * ((y \ z) * T(x,y)) = (z * (T(x,y) / (x * y))) * (x * y).
y * ((y \ z) * T(x,y)) = (z * (y \ 1)) * (x * y).
x * ((x \ y) * T(z,x)) = (y / x) * (z * x).
L(x,(z / y) * (z * y),u * ((y \ z) * (y \ z))) = x.
L(x,z * ((y \ z) * y),u * ((y \ z) * (y \ z))) = x.
L(x,y * T(y,z),u * ((z \ y) * (z \ y))) = x.
(x * (a(y \ x,z,z \ T(y,x)) * u)) / u = R(x,T(y,x) \ 1,z).
L(x,y \ x,z) = R(x,T(y,x) \ 1,z).
R(x,T(y,x) \ 1,z) = L(x,y \ x,z).
x / L(x,y,z) = L(x,y,z) \ x.
T(x,L(x,y,z) \ x) = x.
x * K(y,x) = T(x,y \ x).
T(x,x / y) = T(x,y \ x).
K(x,y) * y = T(y,x \ y).
T(x,y) / (y * x) = (y * x) \ x.
x * ((x \ (x \ y)) * (x / z)) = x \ (y * (x / z)).
((x \ y) * x) / z = x \ (y * (x / z)).
T(y,x) / z = x \ (y * (x / z)).
x \ (y * (x / z)) = T(y,x) / z.
x * (x * ((x \ (x \ y)) * (x / z))) = (x * (z \ 1)) * T(y,x / z).
x * (((x \ y) * x) / z) = (x * (z \ 1)) * T(y,x / z).
x * (T(y,x) / z) = (x * (z \ 1)) * T(y,x / z).
x * (T(y,x) / z) = (x / z) * T(y,x / z).
x * (T(y,x) / z) = y * (x / z).
x * ((y * x) \ T(z,x / y)) = T(z,x) / y.
L(x,T(y,z) / x,y \ z) = (y * (z / x)) \ (y * z).
(T(K(x,y),z) * (z \ (K(y,x) * u))) \ T(w,u * z) = (u \ (u \ w)) * (u * (u / (T(K(x,y),z) * (z \ (K(y,x) * u))))).
(T(K(x,y),z) * (z \ (K(y,x) * u))) \ T(w,u * z) = (u \ (u \ w)) * (u * z).
R(x * y,y * x,z) = T(y * x,y).
R(x * y,y * x,z) = x * y.
x * y = R(x * y,K(y,x),z).
R(x * y,K(y,x),z) = x * y.
R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z.
(x * y) \ ((y * x) * z) = K(y,x) * z.
R(x,K(x,y),z) \ (T(x,y) * z) = K(x,y) * z.
T(x,y) \ ((T(x,y) * x) * z) = x * z.
T(x,y) \ ((x * T(x,y)) * z) = x * z.
T(x,y) \ (x * (T(x,y) * z)) = x * z.
K(y,x) * (K(x,y) * z) = L(z,K(x,y),y * x).
z = L(z,K(x,y),y * x).
L(x,K(y,z),z * y) = x.
(x * y) * z = (y * x) * (K(x,y) * z).
(x * y) * (K(y,x) * z) = (y * x) * z.
(y * x) * (z * (x * y)) = y * (x * (x * (y * T(z,x * y)))).
x * (y * (y * (x * T(z,y * x)))) = (x * y) * (z * (y * x)).
x \ (y * z) = (x \ (y / x)) * (x * z).
(x \ (y / x)) * (x * z) = x \ (y * z).
x \ (T(y,x) * z) = (x \ (x \ y)) * (x * z).
(x \ (x \ y)) * (x * z) = x \ (T(y,x) * z).
x \ ((T(x,y) * x) * z) = K(x,y) * (x * z).
x \ ((x * T(x,y)) * z) = K(x,y) * (x * z).
x \ (x * (T(x,y) * z)) = K(x,y) * (x * z).
T(x,y) * z = K(x,y) * (x * z).
K(x,y) * (x * z) = T(x,y) * z.
T(x,y) \ ((x * T(x,y)) * z) = K(y,x) * (T(x,y) * z).
T(x,y) \ (x * (T(x,y) * z)) = K(y,x) * (T(x,y) * z).
x * z = K(y,x) * (T(x,y) * z).
K(x,y) * (T(y,x) * z) = y * z.
R(x,x \ (y * z),u) = ((y * z) * u) / (((x \ (y / x)) * (x * z)) * u).
R(x,x \ (y * z),u) = ((y * z) * u) / ((x \ (y * z)) * u).
R(x,x \ (y * z),u) = L(x,(y * z) \ 1,u).
R(x,x \ (y * z),u) = L(x,z \ (y \ 1),u).
(T(K(x,y),z) * (z \ (K(y,x) * u))) \ T(w,u * z) = u \ (T(w,u) * z).
(T(x,y) * z) \ (y * ((y \ (T(x,y) * z)) * u)) = L(u,x * (y * z),y).
L(u,y,T(x,y) * z) = L(u,x * (y * z),y).
L(x,y * (z * u),z) = L(x,z,T(y,z) * u).
T(x,y) \ (T(x,y) * z) = L(z,x,K(x,y)).
z = L(z,x,K(x,y)).
L(x,y,K(y,z)) = x.
x \ (x * z) = L(z,T(x,y),K(y,x)).
z = L(z,T(x,y),K(y,x)).
L(x,T(y,z),K(z,y)) = x.
x * (x \ (T(w,x) * u)) = x \ (w * (x * u)).
T(w,x) * u = x \ (w * (x * u)).
x \ (y * (x * z)) = T(y,x) * z.
L(a(x,y,z),y,T(x,y) * z) = a(y,x,y * z).
T(x,y) \ z = x \ (K(y,x) * z).
x \ (K(y,x) * z) = T(x,y) \ z.
x \ (T(z,y) * x) = L(T(z,y * x),y,x).
T(T(z,y),x) = L(T(z,y * x),y,x).
L(T(x,y * z),y,z) = T(T(x,y),z).
x / (K(y,z) * (T(y,z) \ x)) = y.
R(x,K(x,y),T(x,y) \ z) = x.
x \ (T(y,x) / z) = (z * x) \ T(y,x / z).
(x * y) \ T(z,y / x) = y \ (T(z,y) / x).
x * (((x * y) * x) \ y) = T(y,x) / (x * y).
x * ((x * (y * x)) \ y) = T(y,x) / (x * y).
y \ (x \ y) = T(y,x) / (x * y).
y \ (x \ y) = (x * y) \ y.
(x * y) \ y = y \ (x \ y).
R(x,y,y \ (T(z,y) / x)) = L(x,y / x,z).
R(x,K(x,y),T(x,y) \ z) \ z = K(x,y) * (T(x,y) \ z).
x \ z = K(x,y) * (T(x,y) \ z).
K(x,y) * (T(x,y) \ z) = x \ z.
L(a(x,y,T(z,y)),x * (z * y),(x * y) * T(z,y)) = a(x,y,T(z,y)).
(x \ 1) * y = (z * (((u * z) \ (u \ 1)) * x)) \ (u \ (u \ y)).
x \ y = (z * (((u * z) \ (u \ 1)) * x)) \ (u \ (u \ y)).
x \ y = (z * ((u * (u * z)) \ x)) \ (u \ (u \ y)).
x \ y = (z * (z \ (u \ (u \ x)))) \ (u \ (u \ y)).
x \ y = (u \ (u \ x)) \ (u \ (u \ y)).
x \ y = ((u \ x) \ u) * (u \ (u \ y)).
x \ y = ((x \ u) * u) * (u \ (u \ y)).
x \ y = u * ((u \ (x \ u)) * (u \ y)).
x \ y = u * (T(x,u) \ (u \ y)).
x * (T(y,x) \ (x \ z)) = y \ z.
(x \ ((y \ z) \ ((y \ 1) \ 1))) * u = (z * x) \ ((y \ 1) \ ((y \ 1) \ u)).
(x \ ((y \ z) \ ((1 \ y) * 1))) * u = (z * x) \ ((y \ 1) \ ((y \ 1) \ u)).
(x \ ((y \ z) \ (y * 1))) * u = (z * x) \ ((y \ 1) \ ((y \ 1) \ u)).
(x \ ((y \ z) \ y)) * u = (z * x) \ ((y \ 1) \ ((y \ 1) \ u)).
(x \ ((z \ y) * y)) * u = (z * x) \ ((y \ 1) \ ((y \ 1) \ u)).
(x \ ((z \ y) * y)) * u = (z * x) \ ((y \ 1) \ ((1 \ y) * u)).
(x \ ((z \ y) * y)) * u = (z * x) \ ((y \ 1) \ (y * u)).
(x \ ((z \ y) * y)) * u = (z * x) \ ((1 \ y) * (y * u)).
(x \ ((z \ y) * y)) * u = (z * x) \ (y * (y * u)).
(x \ ((y \ z) * z)) * u = (((y * x) \ z) * z) * u.
(x \ (y \ (y \ z))) * (u * ((((z * u) \ y) * y) * x)) = a(z,y * (y * u),u \ x).
(x * ((((y * x) \ z) * z) * (z \ (z \ u)))) / u = R(y \ 1,x,x \ u).
(x * (z * ((z \ ((y * x) \ z)) * (z \ u)))) / u = R(y \ 1,x,x \ u).
(x * (z * (T(y * x,z) \ (z \ u)))) / u = R(y \ 1,x,x \ u).
(x * ((y * x) \ z)) / z = R(y \ 1,x,x \ z).
x / R(y,z,(y * z) \ u) = x * R(y \ 1,z,z \ u).
R(x,y,(x * y) \ z) \ 1 = R(x \ 1,y,y \ z).
L(x,K(y,z),y) = x.
L(x,K(y,z),z) = x.
K(x,y) * z = T(x,y) * (x \ z).
T(x,y) * (x \ z) = K(x,y) * z.
L(x,K(y,z),T(z,y)) = x.
x * y = T(x,z) * (K(z,x) * y).
T(x,y) * (K(y,x) * z) = x * z.
T(x,y) * (y \ z) = y * ((y \ (y \ x)) * z).
T(x,y) * (y \ z) = y \ (x * z).
(x * y) * T(y \ z,y) = y * ((y \ x) * T(z,y)).
(x * y) * T(y \ z,y) = (x / y) * (z * y).
(x * y) * (((x * y) \ y) * z) = y * (x * (y * ((x * y) \ z))).
(x * y) * ((y \ (x \ y)) * z) = y * (x * (y * ((x * y) \ z))).
(x * y) * (T(x,y) \ z) = y * (x * (y * ((x * y) \ z))).
x * (y * (x * ((y * x) \ z))) = (y * x) * (T(y,x) \ z).
R(x,x \ y,y \ z) = z / (y * ((x * y) \ z)).
L((x \ y) * z,y \ x,x) = x \ (y * z).
x * L(z,x \ 1,y) = (y * x) * (T(y,x) \ z).
(x * y) * (T(x,y) \ z) = y * L(z,y \ 1,x).
a(x * (x \ (y * x)),z,u) = a(x * (x \ (y / x)),x * (x * z),u).
a(x * T(y,x),z,u) = a(x * (x \ (y / x)),x * (x * z),u).
a(y * x,z,u) = a(x * (x \ (y / x)),x * (x * z),u).
a(y * x,z,u) = a(y / x,x * (x * z),u).
a(x / y,y * (y * z),u) = a(x * y,z,u).
x \ (y \ ((z \ (z \ 1)) \ 1)) = (y * x) \ ((z \ (z \ 1)) \ 1).
x \ (y \ (((z \ 1) \ z) * 1)) = (y * x) \ ((z \ (z \ 1)) \ 1).
x \ (y \ (((1 \ z) * z) * 1)) = (y * x) \ ((z \ (z \ 1)) \ 1).
x \ (y \ ((z * z) * 1)) = (y * x) \ ((z \ (z \ 1)) \ 1).
x \ (y \ (z * z)) = (y * x) \ ((z \ (z \ 1)) \ 1).
x \ ((y \ z) * z) = (y * x) \ ((z \ (z \ 1)) \ 1).
x \ ((y \ z) * z) = (y * x) \ (((z \ 1) \ z) * 1).
x \ ((y \ z) * z) = (y * x) \ (((1 \ z) * z) * 1).
x \ ((y \ z) * z) = (y * x) \ ((z * z) * 1).
x \ ((y \ z) * z) = (y * x) \ (z * z).
x \ ((y \ z) * z) = ((y * x) \ z) * z.
a(x,y,y \ z) * (x * z) = T(y * ((y \ x) * z),x * z).
a(x,y,y \ z) * (x * z) = a(y,y * x,z) \ (x * z).
a(x,x * y,z) \ (y * z) = a(y,x,x \ z) * (y * z).
T(x * ((x \ y) * z),a(x,x * y,z)) = a(y,x,x \ z) * (y * z).
R(x * y,x,x \ T(z,y)) = (x * (z * y)) / T(z,y).
R(x * (y * z),x,x \ y) = (x * (y * (z * y))) / y.
T(x,R(y * z,y,y \ x)) = T(x,y * (z * x)).
a(((x * y) \ x) * (z * ((x * y) \ x)),y,u) = a((x * y) \ x,z,u).
a((y \ 1) * (z * ((x * y) \ x)),y,u) = a((x * y) \ x,z,u).
a((y \ 1) * (z * (y \ 1)),y,u) = a((x * y) \ x,z,u).
a((y \ 1) * (z / y),y,u) = a((x * y) \ x,z,u).
a(y \ (z / y),y,u) = a((x * y) \ x,z,u).
a(y \ (z / y),y,u) = a(y \ 1,z,u).
a(x \ (y / x),x,z) = a(x,y,z).
a((x \ y) * T(z,x \ y),y \ x,u) = a(x \ y,(x \ y) \ z,u).
a(z * (x \ y),y \ x,u) = a(x \ y,(x \ y) \ z,u).
a(x * (y \ z),z \ y,u) = a(y \ z,(z \ y) * x,u).
a(x \ y,(y \ x) * z,T(y,x)) = ((z * (x \ y)) * x) \ (z * T(y,x)).
((x * (y \ z)) * y) * a(y \ z,(z \ y) * x,T(z,y)) = ((y \ z) * ((z \ y) * x)) * T(z,y).
((x * (y \ z)) * y) * a(y \ z,(z \ y) * x,T(z,y)) = x * T(z,y).
(x * y) / T((x * z) * T(y / z,z),a(z,z * x,(y / z) * z)) = a(z,z * x,(y / z) * z).
(x * y) / T((x * z) * (z \ y),a(z,z * x,(y / z) * z)) = a(z,z * x,(y / z) * z).
(x * y) / T(z * ((z \ x) * y),a(z,z * x,(y / z) * z)) = a(z,z * x,(y / z) * z).
(x * y) / T(z * ((z \ x) * y),a(z,z * x,y)) = a(z,z * x,(y / z) * z).
(x * y) / (a(x,z,z \ y) * (x * y)) = a(z,z * x,(y / z) * z).
a(x,z,z \ y) \ 1 = a(z,z * x,(y / z) * z).
a(x,y,y \ z) \ 1 = a(y,y * x,z).
L(L(x,y / x,z),z * (y / x),z * y) = (z * (y / x)) \ (z * y).
R(x,y,T(y \ z,y)) * T(z,y) = y * ((y \ x) * T(z,y)).
R(x,y,T(y \ z,y)) * T(z,y) = (x / y) * (z * y).
(x \ (y * z)) / T((y * u) * ((y * u) / x),y * z) = (y * u) \ L(u \ z,u,y).
(y * u) \ ((y * u) \ (y * z)) = (y * u) \ L(u \ z,u,y).
((y * u) \ ((y * u) \ y)) * z = (y * u) \ L(u \ z,u,y).
((y * u) \ (u \ 1)) * z = (y * u) \ L(u \ z,u,y).
(u \ (y \ (u \ 1))) * z = (y * u) \ L(u \ z,u,y).
((u * y) * u) \ z = (y * u) \ L(u \ z,u,y).
(u * (y * u)) \ z = (y * u) \ L(u \ z,u,y).
(x * y) \ L(y \ z,y,x) = (y * (x * y)) \ z.
(R(x / y,y,z) * (y * (z * y))) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
(R(x \ 1,y,z) * (y * (z * y))) \ (((x \ y) * z) * y) = a(y * z,(y * z) * ((x \ y) * z),y).
L((x \ (y \ 1)) * z,(y \ 1) \ x,x) = x \ (y \ z).
L((y * x) \ z,(y \ 1) \ x,x) = x \ (y \ z).
L((y * x) \ z,(1 \ y) * x,x) = x \ (y \ z).
L((y * x) \ z,y * x,x) = x \ (y \ z).
L((y * x) \ z,x,x * y) = x \ (y \ z).
T(x,y) \ (y \ z) = y \ (x \ z).
a(K(x,y) * T(z,K(x,y)),K(y,x),u) = a(K(x,y),K(x,y) \ z,u).
a(z * K(x,y),K(y,x),u) = a(K(x,y),K(x,y) \ z,u).
a(x * K(y,z),K(z,y),u) = a(K(y,z),K(z,y) * x,u).
a(K(x,y) * (K(x,y) * (z * K(x,y))),K(y,x),u) = a(K(x,y),K(x,y) * z,u).
a(z * K(x,y),K(y,x),u) = a(K(x,y),K(x,y) * z,u).
a(K(x,y),K(y,x) * z,u) = a(K(x,y),K(x,y) * z,u).
L(x,T(y,x),z \ 1) = L(x,y \ x,z).
L(x,y / x,z \ 1) = L(x,y,z \ 1).
((x / y) * (z * y)) / T(z,y) = L(x,y,(z * y) \ 1).
((x / y) * (z * y)) / T(z,y) = L(x,y,y \ (z \ 1)).
((x / y) * (z * y)) / T(z,y) = L(x,z \ 1,y).
L(x,y,T(y,z)) = x.
L(L(x,y / x,z),T(z * (y / x),z * y),(z * (y / x)) * L(x,y / x,z)) = L(x,y / x,z).
L(L(x,y / x,z),T(z * (y / x),z * y),z * ((y / x) * x)) = L(x,y / x,z).
L(L(x,y / x,z),T(z * (y / x),z * y),z * y) = L(x,y / x,z).
L(L(x,y / x,z),z * y,z * (y / x)) = L(x,y / x,z).
R(x / (y * ((z * y) \ x)),z,u) = R(z,y,(z * y) \ x).
((x / y) * (z * y)) / T(z,y) = L(x,z,y \ 1).
((x / y) * (z * y)) / T(z,y) = L(x,z,y).
(x * y) * (T(x,y) \ z) = y * L(z,y,x \ 1).
(x * y) * (T(x,y) \ z) = y * L(z,y,x).
L(x,y / x,z) = L(x,y,z \ 1).
L(x,z,y / x) = L(x,y,z \ 1).
L(x,y,z / x) = L(x,z,y).
L(x,T(y,x),z) = L(x,y \ x,z).
L(x,z,T(y,x)) = L(x,y \ x,z).
L(x,z,T(y,x)) = L(x,z,y \ x).
L(x,y,z \ x) = L(x,y,T(z,x)).
L(x,y,y * z) = L(x,y,z).
(x \ y) * L(z,y,x) = x \ (y * z).
(x \ y) * L(z,x,y) = x \ (y * z).
L(x,y,y \ z) = z / (y * ((x * y) \ z)).
L(x,z,y) = z / (y * ((x * y) \ z)).
L(x,y,z) = z / (y * ((x * y) \ z)).
x / (y * ((z * y) \ x)) = L(z,y,x).
L(x,y * z,u) = L(x,z \ (y \ 1),u).
L(x,u,y * z) = L(x,z \ (y \ 1),u).
L(x,u,y * z) = L(x,u,z \ (y \ 1)).
L(x,y,z \ (u \ 1)) = L(x,y,u * z).
L(x,y,z) \ 1 = R(x \ 1,y,z).
(x * y) \ L(z,x,y) = y \ (x \ z).
(x * y) * (T(x,y) \ z) = y * L(z,x,y).
((x / y) * (z * y)) / T(z,y) = L(x,y,z).
L(L(x,z,y / x),z * y,z * (y / x)) = L(x,y / x,z).
L(L(x,y,z),z * y,z * (y / x)) = L(x,y / x,z).
L(L(x,y,z),z * y,z * (y / x)) = L(x,z,y / x).
L(L(x,y,z),z * y,z * (y / x)) = L(x,y,z).
(x * y) \ L(y \ z,x,y) = (y * (x * y)) \ z.
y \ (x \ (y \ z)) = (y * (x * y)) \ z.
(x * (y * x)) \ z = x \ (y \ (x \ z)).
L(L(x,z,y / x),z * (y / x),z * y) = (z * (y / x)) \ (z * y).
L(L(x,y,z),z * (y / x),z * y) = (z * (y / x)) \ (z * y).
L(L(x,y,z),z * y,z * (y / x)) = (z * (y / x)) \ (z * y).
L(x,y,z) = (z * (y / x)) \ (z * y).
(x * (y / z)) \ (x * y) = L(z,y,x).
L(x,y,T(z,y) / x) = L(x,y / x,z).
L(x,T(z,y),y) = L(x,y / x,z).
L(x,y,T(z,y)) = L(x,y / x,z).
L(x,y,T(z,y)) = L(x,z,y / x).
L(x,y,T(z,y)) = L(x,y,z).
L(x,z,y * (z * u)) = L(x,z,T(y,z) * u).
L(x,y,T(z,y) * u) = L(x,y,z * (y * u)).
L(x,y \ z,T(y,z) / x) = (y * (z / x)) \ (y * z).
L(x,T(y,z),y \ z) = (y * (z / x)) \ (y * z).
L(x,T(y,z),y \ z) = L(x,z,y).
L(x,T(y,z),y \ z) = L(x,y,z).
a((x * y) / z,x,L(x \ z,x,y)) = a(x,y * x,L(x \ z,y,x)).
a((x * y) / z,x,L(x \ z,x,y)) = a(x,y * x,L(x \ z,x,y)).
a((x \ y) / z,x,L(x \ z,x,y)) = a(x \ y,x,L(x \ z,y,x)).
a((x \ y) / z,x,L(x \ z,x,y)) = a(x \ y,x,L(x \ z,x,y)).
L(x,y,y \ z) = L(x,y,z).
(x * (y \ z)) * T(y,z) = x * L(z,x,y \ z).
(x * (y \ z)) * T(y,z) = x * L(z,x,T(y,z)).
T(x,L(y * z,x,y)) = T(x,(x * y) * z).
x \ (y * ((y \ x) * z)) = L(z,x,y).
L(x,u,y * (y * z)) = L(x,z,u * (y * y)).
L(x,u,z) = L(x,z,u * (y * y)).
L(x,z,u) = L(x,z,u * (y * y)).
L(x,y,z * (u * u)) = L(x,y,z).
L(K(x,y) * z,u,K(y,x)) = (u * K(y,x)) \ (u * z).
x * L(y,z,x) = L(x * y,z,x).
x * L(y,x,z) = L(x * y,z,x).
x * L(y,x,z) = L(x * y,x,z).
(x * (y * (z * u))) \ (x * ((y * u) * T(z,u))) = L(a(y,u,T(z,u)),x,y * (z * u)).
(x * (y * z)) \ (x * y) = L(z,x,y) \ 1.
(x * (y * z)) \ (x * y) = R(z \ 1,x,y).
(x * (y * L(z,x,y))) \ (x * (y * z)) = a(x,y,L(z,y,x)).
((x * y) * z) \ (x * (y * z)) = a(x,y,L(z,y,x)).
a(x,y,z) \ 1 = a(x,y,L(z,y,x)).
a(x,y,z) \ 1 = a(x,y,L(z,x,y)).
a(x,y,L(z,x,y)) = a(x,y,z) \ 1.
(x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),x,y * (z * u)).
T(x,L(y * z,y,x)) = T(x,y * (z * x)).
T(x,L(y * z,x,y)) = T(x,y * (z * x)).
T(x,(x * y) * z) = T(x,y * (z * x)).
L(x * (y * z),x,y) = (x * (y * (z * y))) / y.
(x * y) * z = (x * (y * (z * y))) / y.
(x * (y * (z * y))) / y = (x * y) * z.
L(x * y,x,T(z,y)) = (x * (z * y)) / T(z,y).
R(x,y,(x * y) \ z) \ 1 = L(x \ 1,y,z).
x / R(y,z,(y * z) \ u) = x * L(y \ 1,z,u).
L(x * y,y,z) = (x * (y * z)) / z.
R(L(z,y,x),z,u) = R(z,y,(z * y) \ x).
R(L(z,x,y),z,u) = R(z,y,(z * y) \ x).
L(R(z,z,u),x,y) = R(z,y,(z * y) \ x).
L(z,x,y) = R(z,y,(z * y) \ x).
R(x,y,(x * y) \ z) = L(x,z,y).
(T(x,y * (z * y)) * u) / (y * (z * (y * u))) = R(y \ (z \ (y \ x)),y * (z * y),u).
L(a(x,y,z),y,x * (y * z)) = a(y,x,y * z).
L(x,y * T(y,z),u) = x.
L(x,y,z * T(z,u)) = x.
(x * (y \ z)) * T(y,z) = L(x * z,x,T(y,z)).
L(x * y,x,T(z,y)) = (x * (z \ y)) * T(z,y).
(x * (y * (x * z))) \ (x * (y * L(x * z,x,y))) = a(x,y * x,L(z,x,y)).
(x * (y * (x * z))) \ ((x * y) * (x * z)) = a(x,y * x,L(z,x,y)).
(x * (y * (x * z))) \ (x * ((y * x) * z)) = a(x,y * x,L(z,x,y)).
L(a(y,x,z),x,y * (x * z)) = a(x,y * x,L(z,x,y)).
a(x,y,x * z) = a(x,y * x,L(z,x,y)).
a(x,y * x,L(z,x,y)) = a(x,y,x * z).
T(x \ y,((y \ x) * z) * y) = T(x \ y,z * (y * (x \ y))).
T(x \ y,(z * (x \ y)) * T(x,y)) = T(x \ y,z * (y * (x \ y))).
x / L(y,u,z) = x * L(y \ 1,z,u).
x / L(y,z,u) = x * L(y \ 1,z,u).
x * L(y \ 1,z,u) = x / L(y,z,u).
L(x,z,y) \ 1 = L(x \ 1,y,z).
L(x,y,z) \ 1 = L(x \ 1,y,z).
R(x \ 1,y,z) = L(x \ 1,y,z).
a((x * y) / z,x,L(x \ z,x,y)) = a(x,y,x * (x \ z)).
a((x * y) / z,x,L(x \ z,x,y)) = a(x,y,z).
((x * (y \ z)) * T(y,z)) / T(y \ z,x * (z * (y \ z))) = ((z \ y) * x) * z.
(x * (y * z)) \ (x * y) = L(z \ 1,x,y).
(L(x \ 1,y,z) * (y * (z * y))) \ (((x \ y) * z) * y) = a(y * z,(y * z) * ((x \ y) * z),y).
((x * y) * T(y \ z,y)) / T(z,y) = R(x,y,T(y \ z,y)).
((x / y) * (z * y)) / T(z,y) = R(x,y,T(y \ z,y)).
L(x,y,z) = R(x,y,T(y \ z,y)).
R(x,y,T(y \ z,y)) = L(x,y,z).
L(x,y,z) * T(z,y) = (x / y) * (z * y).
x * ((x \ y) * (T(z,u) * x)) = (y * x) * T(T(z,x),u).
(x * y) * T(T(z,u),y) = (x * y) * T(T(z,y),u).
T(x,(T(T(T(T(T(y,z),x \ 1),u),w),v5) / x) / T(T(T(T(T(y,w),u),x \ 1),z),v5)) = x.
x * L(x \ 1,y,z) = L(x \ 1,y,z) * x.
x / L(x,y,z) = L(x \ 1,y,z) * x.
L(x,y,z) \ x = L(x \ 1,y,z) * x.
L(x \ 1,y,z) * x = L(x,y,z) \ x.
x * ((x \ (y \ 1)) * (z * x)) = (y \ x) * T(z,x).
x * ((y * x) \ (z * x)) = (y \ x) * T(z,x).
(x * y) * (((x * y) \ y) * (z * (x * y))) = y * (x * (y * T(z,x * y))).
(x * y) * ((y \ (x \ y)) * (z * (x * y))) = y * (x * (y * T(z,x * y))).
(x * y) * (T(x,y) \ (z * (x * y))) = y * (x * (y * T(z,x * y))).
y * L(z * (x * y),x,y) = y * (x * (y * T(z,x * y))).
x * (y * (x * T(z,y * x))) = x * L(z * (y * x),y,x).
(x * (y * (z * x))) \ (x * L(y * (z * x),z,x)) = a(x,z * x,T(y,z * x)).
(x * (y * (z * x))) \ (x * L(y * (z * x),x,z)) = a(x,z * x,T(y,z * x)).
(x * (y * (z * x))) \ L(x * (y * (z * x)),x,z) = a(x,z * x,T(y,z * x)).
R(x / (T(y,z) * y),T(y,z) * (T(y,z) * K(z,y)),u) = (x * u) / (T(y,z) * (T(y,z) * (K(z,y) * u))).
R(x / (y * T(y,z)),T(y,z) * (T(y,z) * K(z,y)),u) = (x * u) / (T(y,z) * (T(y,z) * (K(z,y) * u))).
R(x / (y * T(y,z)),T(y,z) * y,u) = (x * u) / (T(y,z) * (T(y,z) * (K(z,y) * u))).
R(x / (y * T(y,z)),y * T(y,z),u) = (x * u) / (T(y,z) * (T(y,z) * (K(z,y) * u))).
R(x / (y * T(y,z)),y * T(y,z),u) = (x * u) / (T(y,z) * (y * u)).
R(x / (y * T(y,z)),y * T(y,z),u) = (x * u) / (y * (T(y,z) * u)).
(x * (y * (z * (y * x)))) \ (x * (y * (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
a(x,(x \ y) * z,u) = a(x,x * ((y * x) * (x \ z)),u).
a(x,(x \ y) * z,u) = a(x,x * (x * ((x \ y) * z)),u).
a(x,(x \ y) * z,u) = a(x,(x * y) * z,u).
T(x,y) * ((y \ z) * y) = y \ (x * ((z * y) * 1)).
T(x,y) * T(z,y) = y \ (x * ((z * y) * 1)).
T(x,y) * T(z,y) = y \ (x * (z * y)).
x \ (y * (z * x)) = T(y,x) * T(z,x).
((x / y) * (((y / x) * ((y / x) * z)) * u)) * a(x / y,z,u) = ((x / y) * ((y / x) * ((y / x) * z))) * u.
((x / y) * ((y / x) * ((y / x) * (z * u)))) * a(x / y,z,u) = ((x / y) * ((y / x) * ((y / x) * z))) * u.
((y / x) * (z * u)) * a(x / y,z,u) = ((x / y) * ((y / x) * ((y / x) * z))) * u.
((x / y) * (z * u)) * a(y / x,z,u) = ((x / y) * z) * u.
L(x,y,R((z \ 1) / y,y,x)) = L(x,y,z \ x).
L(x,y,R(z \ (y \ 1),y,x)) = L(x,y,z \ x).
L(x,y,R(z \ (y \ 1),y,x)) = L(x,y,T(z,x)).
L(x,y,R((x * z) / y,y,x)) = L(x,y,x * (z * x)).
L(x,y,x * (z / y)) = L(x,y,x * (z * x)).
L(x,z / y,y) = L(x,y,x * (z * x)).
L(x,y,z / y) = L(x,y,x * (z * x)).
L(x,y,z) = L(x,y,x * (z * x)).
L(x,y,z) = L(x,z * x,y).
L(x,y,z) = L(x,y,z * x).
L(x,y,z * x) = L(x,y,z).
L(x,y,z * y) = L(x,y,R(z,y,x)).
L(x,y,z) = L(x,y,R(z,y,x)).
L(x,y,R(z,y,x)) = L(x,y,z).
L(x,y,z \ (y \ 1)) = L(x,y,T(z,x)).
L(x,y,y * z) = L(x,y,T(z,x)).
L(x,y,z) = L(x,y,T(z,x)).
L(x,y,T(z,x)) = L(x,y,z).
L(x,y,z \ x) = L(x,y,z).
L(x * y,y,T(z,y)) = (x * (z * y)) / T(z,y).
L(x * y,y,z) = (x * (z * y)) / T(z,y).
(x * (y * z)) / T(y,z) = L(x * z,z,y).
L((x \ y) * ((y \ x) * z),(y \ x) * z,y) = ((z * (x \ y)) * T(x,y)) / y.
L(z,(y \ x) * z,y) = ((z * (x \ y)) * T(x,y)) / y.
L(z,y,(y \ x) * z) = ((z * (x \ y)) * T(x,y)) / y.
L(z,y,y \ x) = ((z * (x \ y)) * T(x,y)) / y.
L(z,y,x) = ((z * (x \ y)) * T(x,y)) / y.
L(z,x,y) = ((z * (x \ y)) * T(x,y)) / y.
L(z,x,y) = R(z,x \ y,T(x,y)).
R(x,y \ z,T(y,z)) = L(x,y,z).
L(x * (y * z),y * z,y) = (x * (y * (z * y))) / y.
L(x * (y * z),y,y * z) = (x * (y * (z * y))) / y.
L(x * (y * z),y,z) = (x * (y * (z * y))) / y.
L(x * (y * z),y,z) = (x * y) * z.
L((x \ y) * ((y \ x) * z),(y \ x) * z,T(y,x)) = ((z * (x \ y)) * x) / T(y,x).
L(z,(y \ x) * z,T(y,x)) = ((z * (x \ y)) * x) / T(y,x).
L(z,T(y,x),(y \ x) * z) = ((z * (x \ y)) * x) / T(y,x).
L(z,T(y,x),y \ x) = ((z * (x \ y)) * x) / T(y,x).
L(z,y,x) = ((z * (x \ y)) * x) / T(y,x).
L(z,x,y) = ((z * (x \ y)) * x) / T(y,x).
L(z,x,y) = R(z,x \ y,x).
R(x,y \ z,y) = L(x,y,z).
L(x * y,x,T(z,y)) = L(x * y,y,z).
L(x,y,z) * z = (x * (y \ z)) * T(y,z).
(x * (y \ z)) * T(y,z) = L(x,y,z) * z.
x * (y * (x * T(z,y * x))) = x * L(z * (y * x),x,y).
x * (y * (x * T(z,y * x))) = L(x * (z * (y * x)),x,y).
L(x,y,z) * T(z,y) = (x * (y \ z)) * y.
(x / y) * (z * y) = (x * (y \ z)) * y.
(x * (y \ z)) * y = (x / y) * (z * y).
L(x * y,y,z) = (x * (z \ y)) * T(z,y).
L(x * y,y,z) = L(x,z,y) * y.
L(x * y,y,z) = L(x,y,z) * y.
L(x,y,z) * y = L(x * y,y,z).
(L(x,y,z) * z) / T(y \ z,x * (z * (y \ z))) = ((z \ y) * x) * z.
T(x \ y,L(z,x,y) * y) = T(x \ y,z * (y * (x \ y))).
T(x \ y,z * (y * (x \ y))) = T(x \ y,L(z,x,y) * y).
((x / y) * (z * y)) * a(y \ z,(z \ y) * x,T(z,y)) = x * T(z,y).
a(x \ y,(y \ x) * z,T(y,x)) = ((z / x) * (y * x)) \ (z * T(y,x)).
a(x \ y,(y \ x) * z,T(y,x)) = a(x,x * z,T(y,x)).
(L(x,y,z) * z) / T(y \ z,L(x,y,z) * z) = ((z \ y) * x) * z.
(y \ z) \ (L(x,y,z) * z) = ((z \ y) * x) * z.
(x \ y) * (L(z,y,x) * x) = ((x \ y) * z) * x.
((x / y) * (z * y)) * a(y,y * x,T(z,y)) = x * T(z,y).
a(x \ 1,y * ((z * x) \ z),T(z * x,z)) = a((z * x) \ z,y,z) \ 1.
a(x \ 1,y * (x \ 1),T(z * x,z)) = a((z * x) \ z,y,z) \ 1.
a(x \ 1,y / x,T(z * x,z)) = a((z * x) \ z,y,z) \ 1.
a(x \ 1,y / x,x * z) = a((z * x) \ z,y,z) \ 1.
a(x,y / x,x * z) = a((z * x) \ z,y,z) \ 1.
a(x,y / x,x * z) = a(x \ 1,y,z) \ 1.
a(x,y / x,x * z) = a(x,y,z) \ 1.
a(T(x,y) \ (y \ x),z * (T(x,y) \ (y \ x)),x) = a(T(x,y) \ (y \ x),z,y \ x) \ 1.
a(y \ (x \ x),z * (T(x,y) \ (y \ x)),x) = a(T(x,y) \ (y \ x),z,y \ x) \ 1.
a(y \ 1,z * (T(x,y) \ (y \ x)),x) = a(T(x,y) \ (y \ x),z,y \ x) \ 1.
a(y \ 1,z * (y \ (x \ x)),x) = a(T(x,y) \ (y \ x),z,y \ x) \ 1.
a(y \ 1,z * (y \ 1),x) = a(T(x,y) \ (y \ x),z,y \ x) \ 1.
a(y \ 1,z / y,x) = a(T(x,y) \ (y \ x),z,y \ x) \ 1.
a(y,z / y,x) = a(T(x,y) \ (y \ x),z,y \ x) \ 1.
a(y,z / y,x) = a(y \ (x \ x),z,y \ x) \ 1.
a(y,z / y,x) = a(y \ 1,z,y \ x) \ 1.
a(y,z / y,x) = a(y,z,y \ x) \ 1.
a(x,y,x \ z) \ 1 = a(x,y / x,z).
a(x / y,z,u) = a(x * y,z,u).
(x \ (y \ (y \ z))) * (u * ((((z * u) \ y) * y) * x)) = a(z,u,u \ x).
(x \ (y \ (y \ z))) * ((((z \ y) * y) * (x / u)) * u) = a(z,x / u,u).
a(x,z,u) = a(y \ (x / y),z,u).
a(x \ (y / x),z,u) = a(y,z,u).
a(x * (y * y),z,u) = a(x,z,u).
((x / y) * (z * u)) * a(y * x,z,u) = ((x / y) * z) * u.
a((x * y) * z,x,L(x \ z,x,y)) = a(x,y,z).
a((x \ y) * z,x,L(x \ z,x,y)) = a(x \ y,x,L(x \ z,x,y)).
a(x * (y * y),y,y * z) = a(x,y,y \ z).
a(x,y,y * z) = a(x,y,y \ z).
a(x,y,y \ z) = a(x,y,y * z).
a(x,y,z) = a(y,x,z).
(x \ (y \ (y \ z))) * (u * ((((z * u) \ y) * y) * x)) = a(z,u,u * x).
a(x,y,y * z) \ 1 = a(y,y * x,z).
a(x * y,y,z) = a(y,y * x,z).
a(x,y * x,z) = a(x,x * y,z).
a(x,(x \ y) * z,L(x \ z,x,y)) = a(x \ y,x,L(x \ z,x,y)).
a(x,(x * y) * z,L(x \ z,x,y)) = a(x \ y,x,L(x \ z,x,y)).
a(x,(x * y) * z,L(x \ z,x,y)) = a(x,x \ y,L(x \ z,x,y)).
a(x,(x * y) * z,L(x \ z,x,y)) = a(x,x * y,L(x \ z,x,y)).
a(x,(x * y) * z,L(x \ z,x,y)) = a(x,y,z).
a(x,x * y,L(x \ z,x,y)) = a(x,y,z).
((x / y) * (z * u)) * a(z,y * x,u) = ((x / y) * z) * u.
a(x,y \ (z / y),u) = a(z,x,u).
a(z,x / y,u) = a(x * y,z,u).
a(x,y / z,u) = a(x,y * z,u).
((x * y) \ z) * ((z \ x) * y) = a(x,z,y).
((x * y) \ z) * ((z \ y) * T(x,y)) = a(y,z,T(x,y)).
a(x,y \ 1,z) = a(y,x,z).
a(x \ y,z * (x \ y),x) = a(z,x \ y,T(y,x)) \ 1.
a(x \ y,z * (x \ y),T(x,y)) = a(z,x \ y,y) \ 1.
(x \ (y \ (y \ z))) * ((((z \ y) * y) * (x / u)) * u) = a(z,x * u,u).
a(x,y,x \ z) \ 1 = a(x,y * x,z).
a(x,y * x,x * z) = a(x,y,z) \ 1.
((x * y) \ x) * ((y / z) * x) = (z \ ((x * y) \ x)) * T(x * y,x).
(y \ 1) * ((y / z) * x) = (z \ ((x * y) \ x)) * T(x * y,x).
y \ ((y / z) * x) = (z \ ((x * y) \ x)) * T(x * y,x).
y \ ((y / z) * x) = (z \ (y \ 1)) * T(x * y,x).
y \ ((y / z) * x) = (z \ (y \ 1)) * (y * x).
y \ ((y / z) * x) = (y * z) \ (y * x).
(x * y) \ (x * z) = x \ ((x / y) * z).
x \ ((x / (y * (z * (y * x)))) * (y * (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
x \ ((y \ (z \ (y \ 1))) * (y * (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
x \ (((y * z) * y) \ (y * (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
x \ ((y * (z * y)) \ (y * (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
x \ (y \ ((y / (z * y)) * (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
x \ (y \ ((z \ 1) * (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
x \ (y \ (z \ (z * ((y * x) * (u * (x * y)))))) = x * (y * T(u,x * y)).
x \ (y \ ((y * x) * (u * (x * y)))) = x * (y * T(u,x * y)).
x \ (y * ((y \ x) * (u * (x * y)))) = x * (y * T(u,x * y)).
L(u * (x * y),x,y) = x * (y * T(u,x * y)).
(u * x) * y = x * (y * T(u,x * y)).
x * (y * T(z,x * y)) = (z * x) * y.
x \ ((x / (y * z)) * y) = L(z \ 1,x,y).
x \ ((x / (y * (z * u))) * ((y * z) * u)) = L(a(y,z,u),x,y * (z * u)).
x \ ((x / (y * (z * u))) * ((y * u) * T(z,u))) = L(a(y,u,T(z,u)),x,y * (z * u)).
L(K(x,y) * z,u,K(y,x)) = u \ ((u / K(y,x)) * z).
L(K(x,y) * z,u,K(y,x)) = u \ ((u * K(x,y)) * z).
L(K(x,y) * z,u,K(y,x)) = u * ((u \ K(x,y)) * z).
x * ((z * y) * x) = L(x * (z * (y * x)),x,y).
L(x * (y * (z * x)),x,z) = x * ((y * z) * x).
(x * (y * (z * x))) \ (x * ((y * z) * x)) = a(x,z * x,T(y,z * x)).
x \ ((x / (y * (z * x))) * ((y * z) * x)) = a(x,z * x,T(y,z * x)).
T(x / (y * (z * x)),x) * T(y * z,x) = a(x,z * x,T(y,z * x)).
((x * (y * z)) \ z) * T(x * y,z) = a(z,y * z,T(x,y * z)).
L((x * (y * z)) * ((x * (y * z)) \ u),(x * (y * z)) \ u,(x * y) * z) = ((u * (x * (y * z))) * a(x,y,z)) / ((x * y) * z).
L(u,(x * (y * z)) \ u,(x * y) * z) = ((u * (x * (y * z))) * a(x,y,z)) / ((x * y) * z).
L(u,(x * y) * z,(x * (y * z)) \ u) = ((u * (x * (y * z))) * a(x,y,z)) / ((x * y) * z).
L(u,(x * y) * z,x * (y * z)) = ((u * (x * (y * z))) * a(x,y,z)) / ((x * y) * z).
L(u,x * (y * z),(x * y) * z) = ((u * (x * (y * z))) * a(x,y,z)) / ((x * y) * z).
L(x,y * (z * u),(y * z) * u) = R(x,y * (z * u),a(y,z,u)).
a((x * y) * z,x * (y * z),a(x,y,z)) \ ((x * (y * z)) * (a(x,y,z) * ((x * y) * z))) = T(((x * y) * z) * ((x * (y * z)) * a(x,y,z)),a((x * y) * z,x * (y * z),a(x,y,z))).
a(x * (y * z),(x * y) * z,a(x,y,z)) \ ((x * (y * z)) * (a(x,y,z) * ((x * y) * z))) = T(((x * y) * z) * ((x * (y * z)) * a(x,y,z)),a((x * y) * z,x * (y * z),a(x,y,z))).
1 \ ((x * (y * z)) * (a(x,y,z) * ((x * y) * z))) = T(((x * y) * z) * ((x * (y * z)) * a(x,y,z)),a((x * y) * z,x * (y * z),a(x,y,z))).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = T(((x * y) * z) * ((x * (y * z)) * a(x,y,z)),a((x * y) * z,x * (y * z),a(x,y,z))).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = T(((x * y) * z) * ((x * y) * z),a((x * y) * z,x * (y * z),a(x,y,z))).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = T((x * y) * ((z * (x * y)) * z),a((x * y) * z,x * (y * z),a(x,y,z))).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = T((x * y) * (z * ((x * y) * z)),a((x * y) * z,x * (y * z),a(x,y,z))).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = T((x * y) * (z * ((x * y) * z)),a(x * (y * z),(x * y) * z,a(x,y,z))).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = T((x * y) * (z * ((x * y) * z)),1).
(x * (y * z)) * (a(x,y,z) * ((x * y) * z)) = (x * y) * (z * ((x * y) * z)).
((x * (y * z)) * (a(x,y,z) * ((x * y) * z))) \ (((x * y) * z) * (x * (y * z))) = a(x,y,z) \ 1.
((x * y) * (z * ((x * y) * z))) \ (((x * y) * z) * (x * (y * z))) = a(x,y,z) \ 1.
((z * ((x * y) * z)) \ (x * y)) * (((x * y) \ z) * (x * (y * z))) = a(x,y,z) \ 1.
(z \ ((x * y) \ (z \ (x * y)))) * (((x * y) \ z) * (x * (y * z))) = a(x,y,z) \ 1.
(x \ T(x \ 1,y * z)) * (((y * z) \ x) * (y * (z * x))) = a(y,z,x) \ 1.
(x \ y) * (L(z,x,y) * x) = ((x \ y) * z) * x.
(x \ y) * L(z * x,x,y) = ((x \ y) * z) * x.
x \ (y * (z * x)) = ((x \ y) * z) * x.
T(y,x) * T(z,x) = ((x \ y) * z) * x.
((x \ y) * z) * x = T(y,x) * T(z,x).
L(x,y * (z * u),(y * z) * u) = L(x,y * (z * u),a(y,z,u)).
L(x,y * (z * u),(y * z) * u) = L(x,a(y,z,u),y * (z * u)).
L(x / (y * T(y,z)),y * T(y,z),u) = (x * u) / (y * (T(y,z) * u)).
L(x / (y * T(y,z)),u,y * T(y,z)) = (x * u) / (y * (T(y,z) * u)).
x / (y * T(y,z)) = (x * u) / (y * (T(y,z) * u)).
(x * y) / (z * (T(z,u) * y)) = x / (z * T(z,u)).
(T(x,y * (z * y)) * u) / (y * (z * (y * u))) = L(y \ (z \ (y \ x)),y * (z * y),u).
(T(x,y * (z * y)) * u) / (y * (z * (y * u))) = L(y \ (z \ (y \ x)),u,y * (z * y)).
(L(x / y,y,z) * (y * (z * y))) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
L(x,y * z,y) * (y * (z * y)) = (x * (y * z)) * y.
L(x,y,y * z) * (y * (z * y)) = (x * (y * z)) * y.
L(x,y,z) * (y * (z * y)) = (x * (y * z)) * y.
L(T(x / y,y * z),y,z) = (y * z) \ (x * z).
T(T(x / y,y),z) = (y * z) \ (x * z).
T(y \ x,z) = (y * z) \ (x * z).
(x * y) \ (z * y) = T(x \ z,y).
K(x,y) * z = u * ((u \ K(x,y)) * z).
x * ((x \ K(y,z)) * u) = K(y,z) * u.
(((x / y) * (y * z)) * y) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
((y * ((y \ x) * z)) * y) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
(y * (((y \ x) * z) * y)) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
(y * (T(x,y) * T(z,y))) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
(x * (y * T(z,y))) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
(x * (z * y)) \ ((x * z) * y) = a(y * z,(y * z) * (x * z),y).
((z * y) \ x) * ((x \ z) * y) = a(y * z,(y * z) * (x * z),y).
a(z,x,y) = a(y * z,(y * z) * (x * z),y).
a(x,z,y) = a(y * z,(y * z) * (x * z),y).
a(x * y,(x * y) * (z * y),x) = a(z,y,x).
(((x \ 1) * (y * z)) * y) \ (((x \ y) * z) * y) = a(y * z,(y * z) * ((x \ y) * z),y).
((x \ (y * z)) * y) \ (((x \ y) * z) * y) = a(y * z,(y * z) * ((x \ y) * z),y).
T((x \ (y * z)) \ ((x \ y) * z),y) = a(y * z,(y * z) * ((x \ y) * z),y).
T(((y * z) \ x) * ((x \ y) * z),y) = a(y * z,(y * z) * ((x \ y) * z),y).
T(a(y,x,z),y) = a(y * z,(y * z) * ((x \ y) * z),y).
T(a(x,y,z),y) = a(y * z,(y * z) * ((x \ y) * z),y).
T(a(x,y,z),y) = a(x \ y,z,y).
T(a(x,y,z),y) = a(z,x \ y,y).
x * T(y \ z,x) = (y \ x) * T(z,x).
(y \ z) * x = (y \ x) * T(z,x).
(x \ y) * T(z,y) = (x \ z) * y.
(K(y,z) * (K(z,y) * u)) \ u = a(x,x * K(y,z),K(z,y) * u).
u \ u = a(x,x * K(y,z),K(z,y) * u).
1 = a(x,x * K(y,z),K(z,y) * u).
a(x,x * K(y,z),K(z,y) * u) = 1.
((x * (y * z)) \ (x * y)) * z = a(z,y * z,T(x,y * z)).
(x \ ((x / (y * z)) * y)) * z = a(z,y * z,T(x,y * z)).
L(z \ 1,x,y) * z = a(z,y * z,T(x,y * z)).
L(z,x,y) \ z = a(z,y * z,T(x,y * z)).
a(x,y * x,T(z,y * x)) = L(x,z,y) \ x.
((x * y) \ z) * ((z \ x) * y) = a(y,z,T(x,y)).
a(x,z,y) = a(y,z,T(x,y)).
a(x,y,T(z,x)) = a(z,y,x).
((x / y) * (z * y)) * a(z,y * x,y) = x * T(z,y).
((x / y) * z) * y = x * T(z,y).
a(z,y * x,x) = a(x,y,z * x) \ 1.
a(x,y,z * x) \ 1 = a(z,y * x,x).
(x / y) * (y * T(z,x)) = (z * (x / y)) * y.
y * ((y \ x) * T(z,x)) = (z * (x / y)) * y.
y * ((y \ z) * x) = (z * (x / y)) * y.
(x * (y / z)) * z = z * ((z \ x) * y).
(x \ (y \ (y \ z))) * (u * ((u \ ((z \ y) * y)) * x)) = a(z,x * u,u).
(x \ (y \ (y \ z))) * (u * ((((z * u) \ y) * y) * x)) = a(z,x * u,u).
a(z,u,u * x) = a(z,x * u,u).
a(x,y * z,z) = a(x,z,z * y).
a(x,y,z * x) \ 1 = a(z,x,x * y).
a(x,y,z * x) \ 1 = a(x,z,x * y).
x * (x * ((x \ y) * T(T(z,u),y))) = (x * y) * T(T(z,y),u).
x * (x * ((x \ T(z,u)) * y)) = (x * y) * T(T(z,y),u).
(x * T(z,u)) * y = (x * y) * T(T(z,y),u).
(x * y) * T(T(z,y),u) = (x * T(z,u)) * y.
(x * y) * T(z,y) = (x * y) * T(T(z,y),(T(T(T(T(T(u,w),z \ 1),v5),v6),v7) / z) / T(T(T(T(T(u,v6),v5),z \ 1),w),v7)).
(x * y) * T(z,y) = (x * T(z,(T(T(T(T(T(u,w),z \ 1),v5),v6),v7) / z) / T(T(T(T(T(u,v6),v5),z \ 1),w),v7))) * y.
(x * y) * T(z,y) = (x * z) * y.
x \ ((x / (y * (z * u))) * ((y * z) * u)) = L(a(y,u,T(z,u)),x,y * (z * u)).
L(a(y,z,u),x,y * (z * u)) = L(a(y,u,T(z,u)),x,y * (z * u)).
L(a(x,y,T(z,y)),u,x * (z * y)) = L(a(x,z,y),u,x * (z * y)).
L(a(x,y,T(z,y)),x * (z * y),(x * z) * y) = a(x,y,T(z,y)).
L(a(x,y,T(z,y)),a(x,z,y),x * (z * y)) = a(x,y,T(z,y)).
L(a(x,z,y),a(x,z,y),x * (z * y)) = a(x,y,T(z,y)).
a(x,z,y) = a(x,y,T(z,y)).
a(x,y,T(z,y)) = a(x,z,y).
a(x,z,y * x) = L(x,z,y) \ x.
a(x,z,y * x) = L(x,y,z) \ x.
L(x,y,z) \ x = a(x,z,y * x).
T(x,a(x,y,z * x)) = x.
(T(x,T(y,z) * y) * u) / (T(y,z) * (K(z,y) * (T(y,z) * u))) = L(T(y,z) \ (K(z,y) \ (T(y,z) \ x)),u,T(y,z) * (K(z,y) * T(y,z))).
(T(x,y * T(y,z)) * u) / (T(y,z) * (K(z,y) * (T(y,z) * u))) = L(T(y,z) \ (K(z,y) \ (T(y,z) \ x)),u,T(y,z) * (K(z,y) * T(y,z))).
(T(x,y * T(y,z)) * u) / (T(y,z) * (y * u)) = L(T(y,z) \ (K(z,y) \ (T(y,z) \ x)),u,T(y,z) * (K(z,y) * T(y,z))).
(T(x,y * T(y,z)) * u) / (y * (T(y,z) * u)) = L(T(y,z) \ (K(z,y) \ (T(y,z) \ x)),u,T(y,z) * (K(z,y) * T(y,z))).
T(x,y * T(y,z)) / (y * T(y,z)) = L(T(y,z) \ (K(z,y) \ (T(y,z) \ x)),u,T(y,z) * (K(z,y) * T(y,z))).
(y * T(y,z)) \ x = L(T(y,z) \ (K(z,y) \ (T(y,z) \ x)),u,T(y,z) * (K(z,y) * T(y,z))).
(y * T(y,z)) \ x = L(T(y,z) \ (K(y,z) * (T(y,z) \ x)),u,T(y,z) * (K(z,y) * T(y,z))).
(y * T(y,z)) \ x = L(T(y,z) \ (y \ x),u,T(y,z) * (K(z,y) * T(y,z))).
(y * T(y,z)) \ x = L(T(y,z) \ (y \ x),u,T(y,z) * y).
(y * T(y,z)) \ x = L(T(y,z) \ (y \ x),u,y * T(y,z)).
(x * T(x,y)) \ z = T(x,y) \ (x \ z).
(T(x,y * T(y,z)) * u) / (y * (K(y,z) * (y * u))) = L(y \ (K(y,z) \ (y \ x)),u,y * (K(y,z) * y)).
(T(x,y * T(y,z)) * u) / (y * (T(y,z) * u)) = L(y \ (K(y,z) \ (y \ x)),u,y * (K(y,z) * y)).
T(x,y * T(y,z)) / (y * T(y,z)) = L(y \ (K(y,z) \ (y \ x)),u,y * (K(y,z) * y)).
(y * T(y,z)) \ x = L(y \ (K(y,z) \ (y \ x)),u,y * (K(y,z) * y)).
T(y,z) \ (y \ x) = L(y \ (K(y,z) \ (y \ x)),u,y * (K(y,z) * y)).
T(y,z) \ (y \ x) = L(y \ (K(z,y) * (y \ x)),u,y * (K(y,z) * y)).
T(y,z) \ (y \ x) = L((y \ (K(z,y) / y)) * x,u,y * (K(y,z) * y)).
T(y,z) \ (y \ x) = L((y \ (y \ K(z,y))) * x,u,y * (K(y,z) * y)).
T(y,z) \ (y \ x) = L((y \ (y \ K(z,y))) * x,u,y * T(y,z)).
T(y,z) \ (y \ x) = (y \ (y \ K(z,y))) * x.
(x \ (x \ K(y,x))) * z = T(x,y) \ (x \ z).
(x \ T(x \ 1,y)) * z = T(x,y) \ (x \ z).
T(x,y * z) \ (x \ (((y * z) \ x) * (y * (z * x)))) = a(y,z,x) \ 1.
(T(x,y) * x) \ z = x \ (T(x,y) \ z).
(x * T(x,y)) \ z = x \ (T(x,y) \ z).
T(x,y) \ (x \ z) = x \ (T(x,y) \ z).
x \ (T(x,y * z) \ (((y * z) \ x) * (y * (z * x)))) = a(y,z,x) \ 1.
x \ L((y * z) \ (y * (z * x)),x,y * z) = a(y,z,x) \ 1.
x \ L(y \ ((y / z) * (z * x)),x,y * z) = a(y,z,x) \ 1.
x \ L(y \ (z * ((z \ y) * x)),x,y * z) = a(y,z,x) \ 1.
x \ L(L(x,y,z),x,y * z) = a(y,z,x) \ 1.
x \ L(x,y,z) = a(y,z,x) \ 1.
a(x,y,z) \ 1 = z \ L(z,x,y).
x / (T(y,z) * ((y \ L(y,u,w)) * (T(y,z) \ x))) = L(y,u,w) \ y.
x / (T(y,z) * ((y \ L(y,u,w)) * (T(y,z) \ x))) = a(y,w,u * y).
x / (T(y,z) * ((L(y,u,w) \ y) * (T(y,z) \ x))) = y \ L(y,u,w).
x / (T(y,z) * (a(y,u,w * y) * (T(y,z) \ x))) = y \ L(y,w,u).
T(x,a(x,y,z)) = x.
T(a(x,y,z),x) = a(x,y,z).
T(x,a(x,y,z) \ x) = x.
x / x = K(a(x,y,z),x).
1 = K(a(x,y,z),x).
K(a(x,y,z),x) = 1.
K(a(x,y,z),y) = 1.
T(a(x,y,z),y) = a(x,y,z).
a(x,y \ z,z) = a(y,z,x).
a(x \ y,z * (x \ y),T(x,y)) = a(x,y,z) \ 1.
a(x,y * (z \ (z * x)),z) = a(y,z \ (z * x),T(z * x,z)) \ 1.
a(x,y * x,z) = a(y,z \ (z * x),T(z * x,z)) \ 1.
a(x,y * x,z) = a(y,x,T(z * x,z)) \ 1.
a(x,y * x,z) = a(y,x,x * z) \ 1.
a(x,y * x,z) = a(x,y,x * z) \ 1.
a(x,y,x * z) \ 1 = a(x,y * x,z).
a(x \ (y / x),z * (x \ (y / x)),x) = a(z,x \ (y / x),x \ y) \ 1.
a(x \ (y / x),z * (x \ (y / x)),x) = a(y,z,x \ y) \ 1.
a(x \ 1,y * ((z * x) \ z),z * x) = a(y,(z * x) \ z,T(z,z * x)) \ 1.
a(x \ 1,y * (x \ 1),z * x) = a(y,(z * x) \ z,T(z,z * x)) \ 1.
a(x \ 1,y / x,z * x) = a(y,(z * x) \ z,T(z,z * x)) \ 1.
a(x \ 1,y * x,z * x) = a(y,(z * x) \ z,T(z,z * x)) \ 1.
a(x \ 1,y * x,z * x) = a(y,x \ 1,T(z,z * x)) \ 1.
a(x \ 1,y * x,z * x) = a(y,x \ 1,T(z,x)) \ 1.
a(x \ 1,y * x,z * x) = a(x,y,T(z,x)) \ 1.
a(x \ 1,y * x,z * x) = a(z,y,x) \ 1.
a(x \ 1,y * x,z * x) = a(y,z,x) \ 1.
a(x \ 1,y * (z \ (z / x)),z) = a(y,z \ (z / x),T(z / x,z)) \ 1.
a(x \ 1,y * (x \ 1),z) = a(y,z \ (z / x),T(z / x,z)) \ 1.
a(x \ 1,y / x,z) = a(y,z \ (z / x),T(z / x,z)) \ 1.
a(x \ 1,y * x,z) = a(y,z \ (z / x),T(z / x,z)) \ 1.
a(x \ 1,y * x,z) = a(y,x \ 1,T(z / x,z)) \ 1.
a(x \ 1,y * x,z) = a(y,x \ 1,x \ z) \ 1.
a(x \ 1,y * x,z) = a(x,y,x \ z) \ 1.
a(x \ 1,y * x,z) = a(x,y * x,z).
a(T(x * y,y) \ T(x * (y * y),y),z * (T(x * y,y) \ T(x * (y * y),y)),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(T(y \ (x \ (x * (y * y))),y),z * (T(x * y,y) \ T(x * (y * y),y)),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(T(y \ (y * y),y),z * (T(x * y,y) \ T(x * (y * y),y)),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(T(y,y),z * (T(x * y,y) \ T(x * (y * y),y)),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(y,z * (T(x * y,y) \ T(x * (y * y),y)),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(y,z * T(y \ (x \ (x * (y * y))),y),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(y,z * T(y \ (y * y),y),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(y,z * T(y,y),T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(y,z * y,T(x * y,y)) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(x * y,z * y,y) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(x * y,y,y * z) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(y,x * y,y * z) = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(y,x,z) \ 1 = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(x,y,z) \ 1 = a(z,T(x * y,y) \ T(x * (y * y),y),x * (y * y)) \ 1.
a(x,y,z) \ 1 = a(z,T(y \ (x \ (x * (y * y))),y),x * (y * y)) \ 1.
a(x,y,z) \ 1 = a(z,T(y \ (y * y),y),x * (y * y)) \ 1.
a(x,y,z) \ 1 = a(z,T(y,y),x * (y * y)) \ 1.
a(x,y,z) \ 1 = a(z,y,x * (y * y)) \ 1.
a(x,y,z) \ 1 = a(y,z,x * (y * y)) \ 1.
a(x,y,z * (x * x)) \ 1 = a(z,x,y) \ 1.
a(x,y * x,z * x) = a(y,z,x) \ 1.
(a(x,y,z) \ x) / x = x \ (a(x,y,z) \ x).
a(x,y,z) \ 1 = x \ (a(x,y,z) \ x).
x \ (a(x,y,z) \ x) = a(x,y,z) \ 1.
x / (T(y,z) * (((a(y,u,w) \ y) \ y) * (T(y,z) \ x))) = y \ (a(y,u,w) \ y).
x / (T(y,z) * (((y \ a(y,u,w)) * y) * (T(y,z) \ x))) = y \ (a(y,u,w) \ y).
x / (T(y,z) * (T(a(y,u,w),y) * (T(y,z) \ x))) = y \ (a(y,u,w) \ y).
x / (T(y,z) * (a(y,u,w) * (T(y,z) \ x))) = y \ (a(y,u,w) \ y).
x / (T(y,z) * (a(y,u,w) * (T(y,z) \ x))) = a(y,u,w) \ 1.
a(y,u,w * y) \ 1 = y \ L(y,w,u).
a(y,w,y * u) = y \ L(y,w,u).
a(y,w,y * u) = y \ L(y,u,w).
x \ L(x,y,z) = a(x,z,x * y).
x / (T(y,z) * (a(y,w,y * u) * (T(y,z) \ x))) = a(y,w,u * y).
a(y,w,y * u) \ 1 = a(y,w,u * y).
a(x,y * x,z) = a(x,y,z * x).
a(x,y,z) \ 1 = a(z,y,z * x).
a(x,y,z) \ 1 = a(y,z,z * x).
a(x,y,y * z) = a(z,x,y) \ 1.
a(x,y,(z * x) * x) = a(y,z,x) \ 1.
a(x,y,z * (x * x)) = a(y,z,x) \ 1.
a(x \ (y / x),z,x * (x \ (y / x))) = a(y,z,x \ y) \ 1.
a(x \ (y / x),z,y / x) = a(y,z,x \ y) \ 1.
a(z,x \ (y / x),y / x) = a(y,z,x \ y) \ 1.
a(x,y / x,z) = a(y,z,x \ y) \ 1.
a(x,y * x,z) = a(y,z,x \ y) \ 1.
a(x,y,z * x) = a(y,z,x \ y) \ 1.
a(x \ y,z,T(x,y) * (x \ y)) = a(x,y,z) \ 1.
a(x \ y,z,K(x,y) * y) = a(x,y,z) \ 1.
a(x \ y,z,T(y,x \ y)) = a(x,y,z) \ 1.
a(z,x \ y,T(y,x \ y)) = a(x,y,z) \ 1.
a(z,y,x \ y) = a(x,y,z) \ 1.
a(x,y,z \ x) = a(z,x,y) \ 1.
a(x,y,z * x) = a(x,x * y,z).
a(x,x * y,z) = a(x,y,z * x).
(a(y,z,x) \ 1) \ 1 = a(z,x,y) \ 1.
(1 \ a(y,z,x)) * 1 = a(z,x,y) \ 1.
a(y,z,x) * 1 = a(z,x,y) \ 1.
a(y,z,x) = a(z,x,y) \ 1.
a(y,z,x) = a(x,z,y) \ 1.
a(x,y,z) \ 1 = a(z,y,x).
a(x,K(y,z),(K(z,y) * u) * x) = 1.
a(x,y,L(x \ z,x,y) * x) = a(x,y,z).
a(x,y,L((x \ z) * x,x,y)) = a(x,y,z).
a(x,y,L(T(z,x),x,y)) = a(x,y,z).
a(x,y,T(z,x)) \ 1 = a(x,y,z).
a(z,y,x) \ 1 = a(x,y,z).
a(y,z,x) \ 1 = a(x,y,z).
a(x,y,z) = a(x,z,y).
a(K(x,y),u,K(y,x) * z) = a(K(x,y),K(x,y) * z,u).
a(u,K(x,y),K(y,x) * z) = a(K(x,y),K(x,y) * z,u).
a(u,K(x,y),K(y,x) * z) = a(K(x,y),u,K(x,y) * z).
a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),K(y,z) * u).
a(x,y,z \ x) = a(x,z,y) \ 1.
a(x,y,z \ x) = a(x,y,z) \ 1.
a(x,y,z \ x) = a(z,y,x).
a(x,y,z \ x) = a(y,z,x).
a(x,y,z \ x) = a(y,x,z).
a(x,y,z \ x) = a(x,y,z).
a(x,y,z * x) = a(y,z,x) \ 1.
a(x,y,z * x) = a(y,x,z) \ 1.
a(x,y,z * x) = a(x,y,z) \ 1.
a(x,y,z * x) = a(z,y,x).
a(x,y,z * x) = a(y,z,x).
a(x,y,z * x) = a(y,x,z).
a(x,y,z * x) = a(x,y,z).
a(x,y,y * z) = a(x,z,y) \ 1.
a(x,y,y * z) = a(x,y,z) \ 1.
a(x,y,y * z) = a(z,y,x).
a(x,y,y * z) = a(y,z,x).
a(x,y,y * z) = a(y,x,z).
a(x,y,y * z) = a(x,y,z).
a(x,K(y,z),K(z,y) * u) = 1.
1 = a(x,K(y,z),K(y,z) * u).
1 = a(x,K(y,z),u).
1 = a(x,u,K(y,z)).
K(a(x,y,z),u) = 1 # label("Ka") # label(non_clause) # label(goal).
K(a(c13,c14,c15),c16) != 1 # label("Ka") # answer("Ka").
(x * y) \ ((1 * x) * y) = a(1,x,y).
(x * y) \ (x * y) = a(1,x,y).
1 = a(1,x,y).
a(1,x,y) = 1.
x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z).
(x * y) / (y * 1) = R(x,y,1).
(x * y) / y = R(x,y,1).
x = R(x,y,1).
R(x,y,1) = x.
((x * (y / z)) * z) / y = R(x,y / z,z).
x \ (y * (z * (y * x))) = T((y * z) * y,x).
x \ (y * (z * (y * x))) = T(y * (z * y),x).
(x * (y * (y * z))) \ (y * (y * (z * x))) = K(y * (y * z),x).
((x * y) * z) / a(x,y,z) = x * (y * z).
(x * (y * z)) / L(z,y,x) = x * y.
((x * y) * z) / ((y \ x) * (y * z)) = y.
((x * y) * (L(z,y,x) * u)) / u = R(x * (y * z),x * y,(x * y) \ u).
R(x * (y * z),x * y,(x * y) \ u) = ((x * y) * (L(z,y,x) * u)) / u.
a(x,y,y \ z) \ ((x * y) * (y \ z)) = T(x * z,a(x,y,y \ z)).
a(x,y,y \ z) \ (y * ((y \ x) * z)) = T(x * z,a(x,y,y \ z)).
(x * ((y \ z) * (y * ((y \ z) * u)))) \ ((x * ((y \ z) * z)) * u) = a(x,(y \ z) * (y * (y \ z)),u).
(x * ((y \ z) * (y * ((y \ z) * u)))) \ ((x * ((y \ z) * z)) * u) = a(x,(y \ z) * z,u).
(x * (x * ((x * y) * z))) / (x * (x * (y * z))) = R(x,x * (x * y),z).
((x * (y * (y * (y \ z)))) * (y * u)) / (y * ((z * y) * u)) = R(x,y * (y * (y \ z)),y * u).
((x * (y * z)) * (y * u)) / (y * ((z * y) * u)) = R(x,y * (y * (y \ z)),y * u).
((x * (y * z)) * (y * u)) / (y * ((z * y) * u)) = R(x,y * z,y * u).
x * (x * (((x \ y) * (x * (x * ((x \ y) * z)))) * u)) = x * ((y * x) * (x * ((x \ y) * (z * u)))).
x * (x * (((x \ y) * ((x * y) * z)) * u)) = x * ((y * x) * (x * ((x \ y) * (z * u)))).
x * ((y * x) * (x * ((x \ y) * (z * u)))) = x * (x * (((x \ y) * ((x * y) * z)) * u)).
x * (x * ((x \ y) * (((x * (x * (x \ y))) \ z) * (x * ((y * x) * u))))) = (z * (x * (x * (x \ y)))) * (x * u).
x * (x * ((x \ y) * (((x * y) \ z) * (x * ((y * x) * u))))) = (z * (x * (x * (x \ y)))) * (x * u).
(x * y) * (((x * y) \ z) * (x * ((y * x) * u))) = (z * (x * (x * (x \ y)))) * (x * u).
(x * y) * (((x * y) \ z) * (x * ((y * x) * u))) = (z * (x * y)) * (x * u).
(x * y) * (a(x,1,y) * ((x * (1 * y)) * z)) = (((x * 1) * y) * (x * (1 * y))) * z.
(x * y) * (1 * ((x * (1 * y)) * z)) = (((x * 1) * y) * (x * (1 * y))) * z.
(x * y) * (1 * ((x * y) * z)) = (((x * 1) * y) * (x * (1 * y))) * z.
(x * y) * ((x * y) * z) = (((x * 1) * y) * (x * (1 * y))) * z.
(x * y) * ((x * y) * z) = ((x * y) * (x * (1 * y))) * z.
(x * y) * ((x * y) * z) = ((x * y) * (x * y)) * z.
(x * y) * ((x * y) * z) = (x * ((y * x) * y)) * z.
(x * y) * ((x * y) * z) = (x * (y * (x * y))) * z.
(x * (y * (x * y))) * z = (x * y) * ((x * y) * z).
R(((x / (y * z)) * y) * z,x,((x / (y * z)) * (y * z)) \ u) = (((x / (y * z)) * (y * z)) * (a(x / (y * z),y,z) * u)) / u.
R(((x / (y * z)) * y) * z,x,x \ u) = (((x / (y * z)) * (y * z)) * (a(x / (y * z),y,z) * u)) / u.
R(((x / (y * z)) * y) * z,x,x \ u) = (x * (a(x / (y * z),y,z) * u)) / u.
(x * y) \ (T(x,y) * y) = K(T(x,y),y).
x * R(T(y,x),z,u) = R(y,z,u) * x.
T(R(x,y,y \ z),z) = z \ (y * ((y \ x) * z)).
R(T(x,z),y,y \ z) = z \ (y * ((y \ x) * z)).
x \ (y * ((y \ z) * x)) = R(T(z,x),y,y \ x).
K(x,T(x,y)) = 1.
K(x / y,y \ x) = 1.
x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z.
((x * y) * z) \ ((x * (y * z)) * (a(x,y,z) * u)) = L(u,a(x,y,z),x * (y * z)).
(x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z).
x * T(x \ y,z) = T(y / x,z) * x.
T(x / y,z) * y = y * T(y \ x,z).
x * (R(T(y,x),z,u) * (x * w)) = ((R(y,z,u) * x) * x) * w.
(R(x,y,z) * u) / R(T(x,u),y,z) = u.
(x * (y * K(y,x))) \ (y * x) = a(x,y,(x * y) \ (y * x)).
(x * (y * K(y,x))) \ (y * x) = a(x,y,K(y,x)).
(x * ((y * x) * z)) / T(x * (x * (x \ y)),x * z) = x * z.
(x * ((y * x) * z)) / T(x * y,x * z) = x * z.
a(x * (y \ x),T(y,y \ x),z) = a(y \ x,T(y,y \ x) * (y * (y \ x)),z).
a(x * (y \ x),T(y,y \ x),z) = a(y \ x,T(y,y \ x) * x,z).
(x \ (y * (x * (x * (x \ z))))) \ (z * T(y,x * (x * (x \ z)))) = a(x,x \ z,T(y,x * (x * (x \ z)))).
(x \ (y * (x * z))) \ (z * T(y,x * (x * (x \ z)))) = a(x,x \ z,T(y,x * (x * (x \ z)))).
(x \ (y * (x * z))) \ (z * T(y,x * z)) = a(x,x \ z,T(y,x * (x * (x \ z)))).
(x \ (y * (x * z))) \ (z * T(y,x * z)) = a(x,x \ z,T(y,x * z)).
(T(T(x,y),z) * u) * z = (T(T(x,z),y) * (z * (z \ u))) * z.
(T(T(x,y),z) * u) * z = (T(T(x,z),y) * u) * z.
a(x,y,x) = 1.
L(L(x,y,z),u,w) = L(L(L(x,u,w),y,z),v5,L(x,y,z)).
L(L(L(x,y,z),u,w),v5,L(x,u,w)) = L(L(x,u,w),y,z).
K(x * y,(y \ 1) \ x) = 1.
(x \ 1) \ (y / x) = T(y,x \ 1).
x * (x * (((x * y) * z) / (x * (x * (y * z))))) = R(x,x * (x * y),z).
L(a(x / y,y,z),(x / y) * (y * z),u) = (u * ((x / y) * (y * z))) \ (u * (x * z)).
((x \ y) * (x * ((x \ y) * z))) \ ((1 * ((x \ y) * y)) * z) = a(1,(x \ y) * y,z).
((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z) = a(1,(x \ y) * y,z).
((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z) = 1.
((x * (x * y)) * z) * K((y \ 1) * ((x * y) * z),x * y) = (((x * y) \ x) * ((x * y) * z)) * (x * y).
(x * (x * (y * z))) * K((y \ 1) * ((x * y) * z),x * y) = (((x * y) \ x) * ((x * y) * z)) * (x * y).
x * (x * ((y * z) * K((y \ 1) * ((x * y) * z),x * y))) = (((x * y) \ x) * ((x * y) * z)) * (x * y).
x * (x * ((y * z) * K((y \ 1) * ((x * y) * z),x * y))) = ((y \ 1) * ((x * y) * z)) * (x * y).
T(T(x,y),z) = T(T(x,z),x * y).
T(T(x,y),x * z) = T(T(x,z),y).
T(L(x,y,z),u) = L(T(x,L(x,y,z) * u),y,z).
L(T(x,u),y,z) = L(T(x,L(x,y,z) * u),y,z).
L(T(x,L(x,y,z) * u),y,z) = L(T(x,u),y,z).
a(x * (y \ x),T(y,x),z) = a(y \ x,T(y,y \ x) * x,z).
a(x * (y \ x),T(y,x),z) = a(y \ x,T(y,x) * x,z).
x * (y / x) = T(y,x \ 1).
T(x,y \ 1) = y * (x / y).
K(x * y,y * x) = 1.
x * K(y,x / y) = y * (x / y).
((x * (y * z)) * K(z,y)) / T(x * (z * y),a(x,y * z,K(z,y))) = a(x,y * z,K(z,y)).
(x * y) / T(y * x,K(x,y)) = K(x,y).
((x / y) * (y \ x)) * 1 = (y \ x) * (x / y).
(x / y) * (y \ x) = (y \ x) * (x / y).
(x * y) / (y * x) = K(x,y).
x * (K(y \ x,y) * (x * z)) = (((y \ x) * y) * x) * z.
L(x,y * ((z * y) * z),u) = x.
L(x,y * (z * (y * z)),u) = x.
x \ y = z * (x * ((x * (z * x)) \ y)).
x * (y * ((y * (x * y)) \ z)) = y \ z.
(x * (y * ((y * (x * y)) \ z))) * (T(y,x * (y * ((y * (x * y)) \ z))) * ((x * (y * ((y * (x * y)) \ z))) * u)) = (z * (x * (y * ((y * (x * y)) \ z)))) * u.
(y \ z) * (T(y,x * (y * ((y * (x * y)) \ z))) * ((x * (y * ((y * (x * y)) \ z))) * u)) = (z * (x * (y * ((y * (x * y)) \ z)))) * u.
(y \ z) * (T(y,y \ z) * ((x * (y * ((y * (x * y)) \ z))) * u)) = (z * (x * (y * ((y * (x * y)) \ z)))) * u.
(y \ z) * (T(y,z) * ((x * (y * ((y * (x * y)) \ z))) * u)) = (z * (x * (y * ((y * (x * y)) \ z)))) * u.
(y \ z) * (T(y,z) * ((y \ z) * u)) = (z * (x * (y * ((y * (x * y)) \ z)))) * u.
(x \ y) * (T(x,y) * ((x \ y) * z)) = (y * (x \ y)) * z.
(x * (y * (x * y))) \ (x * z) = L((y * (x * y)) \ z,y,x * (y * x)).
L((x * (y * x)) \ z,x,y * (x * y)) = (y * (x * (y * x))) \ (y * z).
L(x \ y,z * (z * x),u) = (u * (z * (z * x))) \ (u * (z * (z * y))).
x * (x * ((y * z) * K(y \ ((x * y) * z),x * y))) = ((y \ 1) * ((x * y) * z)) * (x * y).
x * (x * ((y * z) * K((y \ x) * (y * z),x * y))) = ((y \ 1) * ((x * y) * z)) * (x * y).
x * (x * ((y * z) * K((y \ x) * (y * z),x * y))) = (y \ ((x * y) * z)) * (x * y).
x * (x * ((y * z) * K((y \ x) * (y * z),x * y))) = ((y \ x) * (y * z)) * (x * y).
K(x * y,K(y,x)) = 1.
(x \ (y * (x * (z * x)))) / (x * T(y,x * (z * x))) = z.
x * ((y \ 1) * T(z,(y \ 1) * (x / y))) = (y \ 1) \ (z * ((y \ 1) * (x * (y \ 1)))).
x * ((y \ 1) * T(z,y \ (x / y))) = (y \ 1) \ (z * ((y \ 1) * (x * (y \ 1)))).
x * (y \ T(z,y \ (x / y))) = (y \ 1) \ (z * ((y \ 1) * (x * (y \ 1)))).
x * (y \ T(z,y \ (x / y))) = (y \ 1) \ (z * ((y \ 1) * (x / y))).
x * (y \ T(z,y \ (x / y))) = (y \ 1) \ (z * (y \ (x / y))).
x * (y \ T(z,y \ (x / y))) = y * (z * (y \ (x / y))).
(x \ (y * (x * ((z / x) * x)))) \ (z * T(y,x * ((z / x) * x))) = a(z / x,x,T(y,x * ((z / x) * x))).
(x \ (y * (x * z))) \ (z * T(y,x * ((z / x) * x))) = a(z / x,x,T(y,x * ((z / x) * x))).
(x \ (y * (x * z))) \ (z * T(y,x * z)) = a(z / x,x,T(y,x * ((z / x) * x))).
a(x,x \ z,T(y,x * z)) = a(z / x,x,T(y,x * ((z / x) * x))).
a(x,x \ z,T(y,x * z)) = a(z / x,x,T(y,x * z)).
a(x / y,y,T(z,y * x)) = a(y,y \ x,T(z,y * x)).
x * (x * (((T(y,x) * (x * z)) / u) / T(x * (((y * x) * x) * z),u \ 1))) = u \ 1.
x \ (x \ (y * (z \ 1))) = ((u / z) / T(x * (x * u),z \ 1)) * T(y,x * (x * ((u / z) / T(x * (x * u),z \ 1)))).
x \ (x \ (y / z)) = ((u / z) / T(x * (x * u),z \ 1)) * T(y,x * (x * ((u / z) / T(x * (x * u),z \ 1)))).
x \ (x \ (y / z)) = (x \ (x \ (z \ 1))) * T(y,x * (x * ((u / z) / T(x * (x * u),z \ 1)))).
x \ (x \ (y / z)) = (x \ (x \ (z \ 1))) * T(y,x * (x * (x \ (x \ (z \ 1))))).
x \ (x \ (y / z)) = (x \ (x \ (z \ 1))) * T(y,x * (x \ (z \ 1))).
x \ (x \ (y / z)) = (x \ (x \ (z \ 1))) * T(y,z \ 1).
(x \ (x \ (y \ 1))) * T(z,y \ 1) = x \ (x \ (z / y)).
a(x * (y * x),y,z) = a(x,y * (x * y),z).
a(x / y,y,T(z,y * x)) = a(y,y * x,T(z,y * x)).
((K(x,y) * (y * x)) * K(x,y)) / T(K(x,y) * (x * y),1) = a(K(x,y),y * x,K(x,y)).
((x * y) * K(x,y)) / T(K(x,y) * (x * y),1) = a(K(x,y),y * x,K(x,y)).
((x * y) * K(x,y)) / (K(x,y) * (x * y)) = a(K(x,y),y * x,K(x,y)).
K(x * y,K(x,y)) = a(K(x,y),y * x,K(x,y)).
K(x * y,K(x,y)) = 1.
T(T(T(x,y),T(T(x,z),y) \ u),z) = T(T(T(x,z),y),u).
T(T(T(x,y),z),T(T(x,z),y) \ u) = T(T(T(x,z),y),u).
T(x \ y,x) = T(x \ y,y).
T(x \ y,y) = T(x \ y,x).
(x \ y) * (T(x,y) * ((x \ y) * z)) = y * (x \ (y * z)).
T(x,y) * T(x \ y,T(x,y)) = y.
T(x,y) * T(x \ y,y) = y.
(x * y) * a(x,z \ y,T(z,y)) = (x * (z \ y)) * T(z,y).
((x * (y \ z)) * T(y,z)) / T(x * z,a(x,y \ z,T(y,z))) = a(x,y \ z,T(y,z)).
(x \ 1) \ (x * (y * ((x \ 1) * ((x \ 1) * z)))) = z * T(y,(x \ 1) * ((x \ 1) * z)).
(x \ 1) \ (x * (y * ((x \ 1) * (x \ z)))) = z * T(y,(x \ 1) * ((x \ 1) * z)).
(x \ 1) \ (x * (y * (x \ (x \ z)))) = z * T(y,(x \ 1) * ((x \ 1) * z)).
x * (x * (y * (x \ (x \ z)))) = z * T(y,(x \ 1) * ((x \ 1) * z)).
x * (x * (y * (x \ (x \ z)))) = z * T(y,(x \ 1) * (x \ z)).
x * (x * (y * (x \ (x \ z)))) = z * T(y,x \ (x \ z)).
x * T(y,z \ (z \ x)) = z * (z * (y * (z \ (z \ x)))).
x * (K(y \ x,y) * (x * z)) = (T(x,y) * x) * z.
x * (K(y \ x,y) * (x * z)) = (x * T(x,y)) * z.
x * (x * (((T(y,x) * (x * z)) / u) / T(x * ((y * (x * x)) * z),u \ 1))) = u \ 1.
x * (x * (((T(y,x) * (x * z)) / u) / T(x * (y * (x * (x * z))),u \ 1))) = u \ 1.
x * (R(T(y,x),z,u) * (x * w)) = (R(y,z,u) * (x * x)) * w.
x * (R(T(y,x),z,u) * (x * w)) = R(y,z,u) * (x * (x * w)).
K(x,y * (x / y)) = 1.
T(a(x,y,z),((x * y) * z) / (x * (y * z))) = a(x,y,z).
K(x,y / x) * T(y,x * (y / x)) = x * (y / x).
K(x,y / x) * y = x * (y / x).
x * L(y,z \ x,z) = z * ((z \ x) * y).
(T(x,y) \ (T(x,y) \ z)) * T(T(x,z),y) = T(x,y) \ z.
((x \ y) * (x * ((x \ y) * z))) * 1 = ((x \ y) * y) * z.
(x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z.
(((x \ y) * (x * ((x \ y) * z))) \ 1) * T((x \ y) * (x * ((x \ y) * z)),((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
((((x \ y) * y) * z) \ 1) * T((x \ y) * (x * ((x \ y) * z)),((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
(z \ (((x \ y) * y) \ 1)) * T((x \ y) * (x * ((x \ y) * z)),((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
(z \ (y \ ((x \ y) \ 1))) * T((x \ y) * (x * ((x \ y) * z)),((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
(z \ (y \ ((y \ x) * 1))) * T((x \ y) * (x * ((x \ y) * z)),((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
(z \ (y \ (y \ x))) * T((x \ y) * (x * ((x \ y) * z)),((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
(z \ (y \ (y \ x))) * T(((x \ y) * y) * z,((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
(z \ (y \ (y \ x))) * (((x \ y) * y) * z) = ((x \ y) * (x * ((x \ y) * z))) \ (((x \ y) * y) * z).
(z \ (y \ (y \ x))) * (((x \ y) * y) * z) = (((x \ y) * y) * z) \ (((x \ y) * y) * z).
(x \ (y \ (y \ z))) * (((z \ y) * y) * x) = 1.
((x * (y \ x)) * (T(y,x) * z)) \ (((x * (y \ x)) * T(y,x)) * z) = a(y \ x,T(y,x) * x,z).
(x * (y \ (x * (T(y,x) * z)))) \ (((x * (y \ x)) * T(y,x)) * z) = a(y \ x,T(y,x) * x,z).
(x * (y \ (y * (x * z)))) \ (((x * (y \ x)) * T(y,x)) * z) = a(y \ x,T(y,x) * x,z).
(x * (x * z)) \ (((x * (y \ x)) * T(y,x)) * z) = a(y \ x,T(y,x) * x,z).
(x * (x * z)) \ ((x * (y \ (x * T(y,x)))) * z) = a(y \ x,T(y,x) * x,z).
(x * (x * z)) \ ((x * (y \ (y * x))) * z) = a(y \ x,T(y,x) * x,z).
(x * (x * z)) \ ((x * x) * z) = a(y \ x,T(y,x) * x,z).
(x * (x * z)) \ (x * (x * z)) = a(y \ x,T(y,x) * x,z).
1 = a(y \ x,T(y,x) * x,z).
a(x \ y,T(x,y) * y,z) = 1.
a((x * y) * L(z \ y,z,x),T(x * z,x * y),u) = a((x * z) \ (x * y),T(x * z,x * y) * (x * y),u).
a((x * y) * L(z \ y,z,x),T(x * z,x * y),u) = 1.
((x \ y) * (x / z)) \ ((y * x) * (z \ 1)) = T(x,(y * x) * (z \ 1)).
((x \ y) * (x / z)) \ ((y * x) / z) = T(x,(y * x) * (z \ 1)).
((x \ y) * (x / z)) \ ((y * x) / z) = T(x,(y * x) / z).
(((x * y) * x) * (x * (x * y))) \ (x * (x * (y * ((x * y) * x)))) = 1.
((x * (y * x)) * (x * (x * y))) \ (x * (x * (y * ((x * y) * x)))) = 1.
(x * (((y * x) * x) * (x * y))) \ (x * (x * (y * ((x * y) * x)))) = 1.
(x * ((y * (x * x)) * (x * y))) \ (x * (x * (y * ((x * y) * x)))) = 1.
(x * (y * (x * (x * (x * y))))) \ (x * (x * (y * ((x * y) * x)))) = 1.
(x * (y * (x * (x * (x * y))))) \ (x * (x * (y * (x * (y * x))))) = 1.
((x * (y * (y * (y * x)))) \ y) * (x * (y * (x * y))) = 1.
x * (y * (z * (y * (x / (x * (y * (z * (y * x)))))))) = 1.
(x * ((x \ y) * (x * z))) \ ((y \ ((y * x) * z)) * (x * (x \ y))) = K(L(x * z,x \ y,x),x * (x \ y)).
((y * x) * z) \ ((y \ ((y * x) * z)) * (x * (x \ y))) = K(L(x * z,x \ y,x),x * (x \ y)).
((y * x) * z) \ ((y \ ((y * x) * z)) * y) = K(L(x * z,x \ y,x),x * (x \ y)).
((y * x) * z) \ T((y * x) * z,y) = K(L(x * z,x \ y,x),x * (x \ y)).
K(y * ((y * x) * z),y) = K(L(x * z,x \ y,x),x * (x \ y)).
K(y * ((y * x) * z),y) = K(L(x * z,x \ y,x),y).
K(L(x * y,x \ z,x),z) = K(z * ((z * x) * y),z).
(x * ((y * x) * z)) \ (L(z,x,x * y) * ((x * y) * x)) = K(L(z,x,x * y),(x * y) * x).
(x * ((y * x) * z)) \ (L(z,x,x * y) * (x * (y * x))) = K(L(z,x,x * y),(x * y) * x).
(x * ((y * x) * z)) \ (L(z,x,x * y) * (x * (y * x))) = K(L(z,x,x * y),x * (y * x)).
x * ((y * x) * (x * ((x \ y) * z))) = x * (x * (((x \ y) * ((x * y) * 1)) * z)).
x * ((y * x) * (x * ((x \ y) * z))) = x * (x * (((x \ y) * (x * y)) * z)).
x * ((y * x) * (x * ((x \ y) * z))) = (x * ((y * x) * y)) * z.
x * ((y * x) * (x * ((x \ y) * z))) = (x * (y * (x * y))) * z.
x * ((y * x) * (x * ((x \ y) * z))) = (x * y) * ((x * y) * z).
T(x,y) = L(T(x,y),x,z).
L(T(x,y),x,z) = T(x,y).
L(L(x,y,z),u,w) = L(L(L(x,u,w),y,z),L(x,y,z),v5).
L(L(L(x,y,z),u,w),L(x,u,w),v5) = L(L(x,u,w),y,z).
x \ T(y,x \ 1) = y * (x \ 1).
x \ T(y,x \ 1) = y / x.
((x * (y * (x * z))) \ 1) * (x * (y * (x * (z * u)))) = L(u,z,x * (y * x)).
((x * (y * z)) \ (y \ 1)) * (y * (x * (y * (z * u)))) = L(u,z,y * (x * y)).
(x \ y) * ((x \ 1) * z) = (x \ 1) * ((y * (x \ 1)) * z).
(x \ y) * (x \ z) = (x \ 1) * ((y * (x \ 1)) * z).
(x \ y) * (x \ z) = (x \ 1) * ((y / x) * z).
(x \ y) * (x \ z) = x \ ((y / x) * z).
x \ ((y / x) * z) = (x \ y) * (x \ z).
((x \ (y \ 1)) * (x * z)) \ ((y \ x) * z) = T(x,((y \ 1) * x) * z).
((x \ (y \ 1)) * (x * z)) \ ((y \ x) * z) = T(x,(y \ x) * z).
(((x \ y) * (x * z)) \ 1) * ((y * x) * z) = T(x,(y * x) * z).
((x * z) \ ((x \ y) \ 1)) * ((y * x) * z) = T(x,(y * x) * z).
((x * z) \ ((y \ x) * 1)) * ((y * x) * z) = T(x,(y * x) * z).
((x * y) \ (z \ x)) * ((z * x) * y) = T(x,(z * x) * y).
K(x,K(y,x / y)) = 1.
K(x,y * (z * y)) / (x * (y * (z * y))) = (y * (z * (y * x))) \ 1.
x \ ((y * (z * y)) \ 1) = (y * (z * (y * x))) \ 1.
x \ ((z * y) \ (y \ 1)) = (y * (z * (y * x))) \ 1.
x \ ((z * y) \ (y \ 1)) = (z * (y * x)) \ (y \ 1).
(x * (y * z)) \ (y \ 1) = z \ ((x * y) \ (y \ 1)).
K(x / y,y) / x = (y * (x / y)) \ 1.
K(x / y,y) / x = (x / y) \ (y \ 1).
(x / y) \ (y \ 1) = K(x / y,y) / x.
(x \ ((y * z) \ (z \ 1))) * (z * (y * (z * (x * u)))) = L(u,x,z * (y * z)).
x * (L(y,z \ x,z) * (x * u)) = ((z * ((z \ x) * y)) * x) * u.
(((x / (y * z)) * y) * z) \ (x * (a(x / (y * z),y,z) * u)) = L(u,x \ (((x / (y * z)) * y) * z),x).
(((x / (y * z)) * y) * z) \ (x * (a(x / (y * z),y,z) * u)) = L(u,a(x / (y * z),y,z),x).
L(x,L(y,z,u) / x,u * z) = ((u * z) * (L(y,z,u) / x)) \ (u * (z * y)).
T(x * (x * (y / (x * ((z * x) * u)))),x * (x * ((x \ z) * (x * u)))) = ((x \ z) * (x * u)) \ y.
T(x * (x * (y / (x * ((z * x) * u)))),x * ((z * x) * u)) = ((x \ z) * (x * u)) \ y.
(((z * x) * u) \ x) * y = ((x \ z) * (x * u)) \ y.
((x * u) \ (z \ x)) * y = ((x \ z) * (x * u)) \ y.
((x \ y) * (x * z)) \ u = ((x * z) \ (y \ x)) * u.
((x * z) \ ((y \ 1) \ x)) * ((y \ x) * z) = T(x,(y \ x) * z).
((x * z) \ ((1 \ y) * x)) * ((y \ x) * z) = T(x,(y \ x) * z).
((x * y) \ (z * x)) * ((z \ x) * y) = T(x,(z \ x) * y).
(T(x,y) * (y * (x * y))) * z = T(x,y) * (y * (1 * (x * (y * z)))).
(T(x,y) * (y * (x * y))) * z = T(x,y) * (y * (x * (y * z))).
x * (R(x,y,z) * (x * u)) = R(x,y,z) * (x * (x * u)).
R(x,y,z) * (x * (x * u)) = x * (R(x,y,z) * (x * u)).
x * (T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u)))) = (T(x,T(x,y)) * (T(x,y) * z)) * u.
x * (T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u)))) = (x * (T(x,y) * z)) * u.
K(x,K(x / y,y)) = 1.
((L(x,y,y * z) * (y * (z * y))) \ (y * ((z * y) * x))) * K(L(x,y,y * z),y * (z * y)) = 1.
(x * y) \ T(x * y,y) = K(T(x,y),y).
K(x * (y * x),x) = K(T(y,x),x).
L(x \ y,x,y \ z) = ((y \ z) * x) \ T(z,y).
L(T(x,y),(y \ x) \ z,y \ x) = z \ ((z * (y \ x)) * y).
L(T(x,y),(x \ y) * z,y \ x) = z \ ((z * (y \ x)) * y).
L(x,y \ z,y) * z = T(y * ((y \ z) * x),z).
T(x * ((x \ y) * z),y) = L(z,x \ y,x) * y.
K(T(x,y),K(y \ x,y)) = 1.
L(x * ((y \ x) * z),y,x) = x * (y \ (x * z)).
((x * (y / x)) * y) * 1 = y * (x * (y / x)).
(x * (y / x)) * y = y * (x * (y / x)).
L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1.
L(x \ K(y,z),x,K(z,y)) = x \ (K(z,y) \ 1).
L(x \ K(y,z),x,K(z,y)) = x \ (K(y,z) * 1).
L(x \ K(y,z),x,K(z,y)) = x \ K(y,z).
K(x,y) * (K(y,x) * T(z,K(y,x) * 1)) = K(y,x) \ (z * (K(y,x) * (K(x,y) * K(y,x)))).
K(x,y) * (K(y,x) * T(z,K(y,x))) = K(y,x) \ (z * (K(y,x) * (K(x,y) * K(y,x)))).
K(x,y) * (z * K(y,x)) = K(y,x) \ (z * (K(y,x) * (K(x,y) * K(y,x)))).
K(x,y) * (z * K(y,x)) = K(y,x) \ (z * (K(y,x) * 1)).
K(x,y) * (z * K(y,x)) = K(y,x) \ (z * K(y,x)).
K(x,y) * (z * K(y,x)) = T(z,K(y,x)).
x * (L(y,z \ x,z) * x) = (z * ((z \ x) * y)) * x.
L(x,y,z) = L(x,y,z * (y * x)).
L(x,y,z * (y * x)) = L(x,y,z).
L(L(x,y,z),u,w) = L(L(x,u,w),y,z / (y * x)).
L(L(x,y,z),u,w / (u * x)) = L(L(x,u,w),y,z).
(x * y) * T(z * (z * x),y) = (z \ (z * x)) * (z * (z * (x * y))).
(x * y) * T(z * (z * x),y) = x * (z * (z * (x * y))).
K(x,y) * T(K(y,x) * z,K(y,x) * 1) = (K(y,x) \ z) * (K(y,x) * (K(y,x) * K(x,y))).
K(x,y) * T(K(y,x) * z,K(y,x)) = (K(y,x) \ z) * (K(y,x) * (K(y,x) * K(x,y))).
K(x,y) * (z * K(y,x)) = (K(y,x) \ z) * (K(y,x) * (K(y,x) * K(x,y))).
T(z,K(y,x)) = (K(y,x) \ z) * (K(y,x) * (K(y,x) * K(x,y))).
T(z,K(y,x)) = (K(x,y) * z) * (K(y,x) * (K(y,x) * K(x,y))).
T(z,K(y,x)) = (K(x,y) * z) * (K(y,x) * 1).
T(z,K(y,x)) = (K(x,y) * z) * K(y,x).
(K(x,y) * z) * K(y,x) = T(z,K(y,x)).
(x * ((x \ (y \ 1)) * (((y \ 1) \ z) * ((y \ 1) * u)))) \ ((z / y) * u) = a(x,x * (y \ 1),((y \ 1) \ z) * ((y \ 1) * u)).
(x * ((x \ (y \ 1)) * (((1 \ y) * z) * ((y \ 1) * u)))) \ ((z / y) * u) = a(x,x * (y \ 1),((y \ 1) \ z) * ((y \ 1) * u)).
(x * ((x \ (y \ 1)) * ((y * z) * ((y \ 1) * u)))) \ ((z / y) * u) = a(x,x * (y \ 1),((y \ 1) \ z) * ((y \ 1) * u)).
(x * ((x \ (y \ 1)) * ((y * z) * (y \ u)))) \ ((z / y) * u) = a(x,x * (y \ 1),((y \ 1) \ z) * ((y \ 1) * u)).
(x * ((x \ (y \ 1)) * ((y * z) * (y \ u)))) \ ((z / y) * u) = a(x,x / y,((y \ 1) \ z) * ((y \ 1) * u)).
(x * ((x \ (y \ 1)) * ((y * z) * (y \ u)))) \ ((z / y) * u) = a(x,x / y,((1 \ y) * z) * ((y \ 1) * u)).
(x * ((x \ (y \ 1)) * ((y * z) * (y \ u)))) \ ((z / y) * u) = a(x,x / y,(y * z) * ((y \ 1) * u)).
(x * ((x \ (y \ 1)) * ((y * z) * (y \ u)))) \ ((z / y) * u) = a(x,x / y,(y * z) * (y \ u)).
(x * x) \ (x * (x * y)) = L(z * (x * (x * (z * (u \ ((z * (x * (x * (z / u)))) \ y))))),x,x).
x \ (x \ (x * (x * y))) = L(z * (x * (x * (z * (u \ ((z * (x * (x * (z / u)))) \ y))))),x,x).
x \ (x * y) = L(z * (x * (x * (z * (u \ ((z * (x * (x * (z / u)))) \ y))))),x,x).
y = L(z * (x * (x * (z * (u \ ((z * (x * (x * (z / u)))) \ y))))),x,x).
y = z * (x * (x * (z * (u \ ((z * (x * (x * (z / u)))) \ y))))).
x * (y * (y * (x * (z \ ((x * (y * (y * (x / z)))) \ u))))) = u.
L(x,(y * (z * (y * (y * (z * (u \ ((z * (y * (y * (z / u)))) \ w))))))) / x,y) = (y * ((y * (z * (y * (y * (z * (u \ ((z * (y * (y * (z / u)))) \ w))))))) / x)) \ (y * (y * w)).
L(x,(y * w) / x,y) = (y * ((y * (z * (y * (y * (z * (u \ ((z * (y * (y * (z / u)))) \ w))))))) / x)) \ (y * (y * w)).
L(x,(y * w) / x,y) = (y * ((y * w) / x)) \ (y * (y * w)).
L(x,(y * z) / x,y) = (((y * z) / x) \ y) * z.
x * (L(y,z * x,z) * x) = (z * ((z \ x) * y)) * x.
x * (L(y,z * x,z) * (x * u)) = ((z * ((z \ x) * y)) * x) * u.
K(L(x * y,x * z,x),z) = K(z * ((z * x) * y),z).
x * L(y,z * x,z) = z * ((z \ x) * y).
(K(x,y / x) * y) * (1 * ((K(x,y / x) * y) * z)) = ((y * K(x,y / x)) * (K(x,y / x) * y)) * z.
(x * (y / x)) * (1 * ((K(x,y / x) * y) * z)) = ((y * K(x,y / x)) * (K(x,y / x) * y)) * z.
(x * (y / x)) * (1 * ((x * (y / x)) * z)) = ((y * K(x,y / x)) * (K(x,y / x) * y)) * z.
(x * (y / x)) * ((x * (y / x)) * z) = ((y * K(x,y / x)) * (K(x,y / x) * y)) * z.
(x * (y / x)) * ((x * (y / x)) * z) = ((x * (y / x)) * (K(x,y / x) * y)) * z.
(x * (y / x)) * ((x * (y / x)) * z) = ((x * (y / x)) * (x * (y / x))) * z.
(x * (y / x)) * ((x * (y / x)) * z) = (x * (((y / x) * x) * (y / x))) * z.
(x * (y / x)) * ((x * (y / x)) * z) = (x * (y * (y / x))) * z.
L(x,(y * z) / x,y) = ((x / (y * z)) * y) * z.
(y / x) * (y \ 1) = K(x / y,y) / x.
(y / x) / y = K(x / y,y) / x.
K(x / y,y) / x = (y / x) / y.
T(x,K(x / y,y)) = x.
L(x \ 1,y,z) = ((z / (y / x)) * y) \ z.
L(x \ 1,y,z) = ((z * (x / y)) * y) \ z.
((x * (y / z)) * z) \ x = L(y \ 1,z,x).
(x * (T(x \ y,x) * z)) / z = R(T(y,x),x,x \ z).
((x \ y) * (x * z)) / z = R(T(y,x),x,x \ z).
R(T(x,y),y,y \ z) = ((y \ x) * (y * z)) / z.
((x \ 1) \ (y * ((x \ 1) * (z / x)))) / ((x \ 1) * T(y,(x \ 1) * (z * (x \ 1)))) = z.
((x \ 1) \ (y * (x \ (z / x)))) / ((x \ 1) * T(y,(x \ 1) * (z * (x \ 1)))) = z.
((1 \ x) * (y * (x \ (z / x)))) / ((x \ 1) * T(y,(x \ 1) * (z * (x \ 1)))) = z.
(x * (y * (x \ (z / x)))) / ((x \ 1) * T(y,(x \ 1) * (z * (x \ 1)))) = z.
(x * (y * (x \ (z / x)))) / ((x \ 1) * T(y,(x \ 1) * (z / x))) = z.
(x * (y * (x \ (z / x)))) / ((x \ 1) * T(y,x \ (z / x))) = z.
(x * (y * (x \ (z / x)))) / (x \ T(y,x \ (z / x))) = z.
(x * (y * (x \ (z / x)))) * (T(y,x \ (z / x)) \ x) = z.
x * (x * (1 / T(x * y,(x \ y) \ 1))) = (x \ y) \ 1.
x * (x * (1 / T(x * y,(y \ x) * 1))) = (x \ y) \ 1.
x * (x * (1 / T(x * y,y \ x))) = (x \ y) \ 1.
x * (x * (T(x * y,y \ x) \ 1)) = (x \ y) \ 1.
x * (x / T(x * y,y \ x)) = (x \ y) \ 1.
x * (x / T(x * y,y \ x)) = (y \ x) * 1.
x * (x / T(x * y,y \ x)) = y \ x.
x * (x * ((y * z) / T(x * (x * (y * ((z * y) * u))),(y * u) \ 1))) = (y * u) \ 1.
x * (x * ((y * z) / T(x * (x * (y * ((z * y) * u))),u \ (y \ 1)))) = (y * u) \ 1.
x * (x * ((y * z) / T(x * (x * (y * ((z * y) * u))),u \ (y \ 1)))) = u \ (y \ 1).
L(T(x,y) \ z,(x \ y) * y,u) = (u * ((x \ y) * ((x \ y) * T(x,y)))) \ (u * ((x \ y) * ((x \ y) * z))).
L(T(x,y) \ z,(x \ y) * y,u) = (u * ((x \ y) * y)) \ (u * ((x \ y) * ((x \ y) * z))).
(x * ((y \ z) * z)) \ (x * ((y \ z) * ((y \ z) * u))) = L(T(y,z) \ u,(y \ z) * z,x).
L(T(x,y),x \ y,z * (y \ x)) = z \ ((z * (y \ x)) * y).
(x * K(x,y)) * (1 * ((x * K(x,y)) * z)) = ((K(x,y) * x) * (x * K(x,y))) * z.
(x * K(x,y)) * ((x * K(x,y)) * z) = ((K(x,y) * x) * (x * K(x,y))) * z.
(x * K(x,y)) * ((x * K(x,y)) * z) = ((x * K(x,y)) * (x * K(x,y))) * z.
(x * K(x,y)) * ((x * K(x,y)) * z) = (x * ((K(x,y) * x) * K(x,y))) * z.
(x * K(x,y)) * ((x * K(x,y)) * z) = (x * ((x * K(x,y)) * K(x,y))) * z.
(x * K(x,y)) * ((x * K(x,y)) * z) = (x * (x * (K(x,y) * K(x,y)))) * z.
(x * K(x,y)) * ((x * K(x,y)) * z) = x * (x * ((K(x,y) * K(x,y)) * z)).
(x * K(x,y)) * ((x * K(x,y)) * z) = x * (x * (K(x,y) * (K(x,y) * z))).
L(x,y,z) = L(T(x,K(u * L(x,y,z),u)),y,z).
L(T(x,K(y * L(x,z,u),y)),z,u) = L(x,z,u).
T(x * y,K(x * ((z * x) * y),x * z)) = x * y.
K(x / y,y) / x = x \ K(x / y,y).
(y / x) / y = x \ K(x / y,y).
x \ K(x / y,y) = (y / x) / y.
x * (y \ K(y \ (x / y),z)) = y * (K(y \ (x / y),z) * (y \ (x / y))).
x * (y \ K(y \ (x / y),z)) = y * ((y \ (x / y)) * K(y \ (x / y),z)).
x * ((x \ (y / x)) * K(x \ (y / x),z)) = y * (x \ K(x \ (y / x),z)).
((x \ K(y,z)) * K(z,y)) / 1 = R(x \ 1,K(y,z),K(z,y)).
(x \ K(y,z)) * K(z,y) = R(x \ 1,K(y,z),K(z,y)).
(x \ K(y,z)) * K(z,y) = x \ 1.
L(L(x,y,z),u,w) = L(L(T(x,K(v5 * L(x,y,z),v5)),u,w),y,z).
L(L(T(x,K(y * L(x,z,u),y)),w,v5),z,u) = L(L(x,z,u),w,v5).
a(T(x,y) / y,y,T(z,x * y)) = a(y,y * T(x,y),T(z,y * T(x,y))).
a(y \ x,y,T(z,x * y)) = a(y,y * T(x,y),T(z,y * T(x,y))).
a(y \ x,y,T(z,x * y)) = a(y,x * y,T(z,y * T(x,y))).
a(x \ y,x,T(z,y * x)) = a(x,y * x,T(z,y * x)).
T(T(T(x,y),z),T(T(x,z),y) \ (y \ T(x,z))) = T(x,z).
T(T(T(x,y),z),y \ 1) = T(x,z).
(x * (y * y)) * z = y * (y * ((y / T(y / x,x * (y * y))) * z)).
x * (y * (y * z)) = y * (y * ((y / T(y / x,x * (y * y))) * z)).
x * (y * (y * z)) = y * (y * (T(x,y * y) * z)).
x * (x * (T(y,x * x) * z)) = y * (x * (x * z)).
(x * (y * (y * ((y / T(y / z,z * (y * y))) * u)))) \ ((x * (z * (y * y))) * u) = a(x,y * (y * (y / T(y / z,z * (y * y)))),u).
(x * (y * (y * (T(z,y * y) * u)))) \ ((x * (z * (y * y))) * u) = a(x,y * (y * (y / T(y / z,z * (y * y)))),u).
(x * (z * (y * (y * u)))) \ ((x * (z * (y * y))) * u) = a(x,y * (y * (y / T(y / z,z * (y * y)))),u).
(x * (z * (y * (y * u)))) \ ((x * (z * (y * y))) * u) = a(x,y * (y * T(z,y * y)),u).
(x * (y * (z * (z * u)))) \ ((x * (y * (z * z))) * u) = a(x,y * (z * z),u).
(L(x,y * z,y) * (z * (L(x,y * z,y) * z))) \ (L(x,y * z,y) * (((y * ((y \ z) * x)) * z) * u)) = L(u,z,L(x,y * z,y) * (z * L(x,y * z,y))).
(L(x,y * z,y) * ((y * ((y \ z) * x)) * z)) \ (L(x,y * z,y) * (((y * ((y \ z) * x)) * z) * u)) = L(u,z,L(x,y * z,y) * (z * L(x,y * z,y))).
L(u,(y * ((y \ z) * x)) * z,L(x,y * z,y)) = L(u,z,L(x,y * z,y) * (z * L(x,y * z,y))).
L(x,(y * ((y \ z) * u)) * z,L(u,y * z,y)) = L(x,z,L(u,y * z,y) * (y * ((y \ z) * u))).
(x * ((x \ (y \ 1)) * ((y * z) * u))) \ ((z / y) * (y * u)) = a(x,x / y,(y * z) * (y \ (y * u))).
(x * ((x \ (y \ 1)) * ((y * z) * u))) \ ((z / y) * (y * u)) = a(x,x / y,(y * z) * u).
(x \ (x \ (y \ 1))) * z = x \ (x \ (T(z,y) / y)).
(x \ (x \ (y \ 1))) * z = x \ (x \ (y \ z)).
(x / y) \ 1 = y * (x * T(x \ (x \ 1),x * x)).
(y / x) * 1 = y * (x * T(x \ (x \ 1),x * x)).
y / x = y * (x * T(x \ (x \ 1),x * x)).
x * (y * T(y \ (y \ 1),y * y)) = x / y.
((x / y) * (z * ((x / y) * ((y * (x * T(x \ (x \ 1),x * x))) * u)))) \ (((x / y) * (z * 1)) * u) = a((x / y) * (z * (x / y)),y * (x * T(x \ (x \ 1),x * x)),u).
((x / y) * (z * ((x / y) * ((y / x) * u)))) \ (((x / y) * (z * 1)) * u) = a((x / y) * (z * (x / y)),y * (x * T(x \ (x \ 1),x * x)),u).
((x / y) * (z * u)) \ (((x / y) * (z * 1)) * u) = a((x / y) * (z * (x / y)),y * (x * T(x \ (x \ 1),x * x)),u).
((x / y) * (z * u)) \ (((x / y) * z) * u) = a((x / y) * (z * (x / y)),y * (x * T(x \ (x \ 1),x * x)),u).
a(x / y,z,u) = a((x / y) * (z * (x / y)),y * (x * T(x \ (x \ 1),x * x)),u).
a(x / y,z,u) = a((x / y) * (z * (x / y)),y / x,u).
a((x / y) * (z * (x / y)),y / x,u) = a(x / y,z,u).
K(x * (T(y,x) / x),y \ x) = K(x \ 1,T(y,x)).
K(x * (x \ y),y \ x) = K(x \ 1,T(y,x)).
K(y,y \ x) = K(x \ 1,T(y,x)).
K(x \ 1,T(y,x)) = K(y,y \ x).
K(x * (y \ 1),x / (y \ x)) = K(x \ 1,y \ x).
K(x / y,x / (y \ x)) = K(x \ 1,y \ x).
K(x / y,x * (x \ y)) = K(x \ 1,y \ x).
K(x / y,y) = K(x \ 1,y \ x).
K(x \ 1,y \ x) = K(x / y,y).
(x / y) \ z = (x / y) * ((y * z) / T(x * (y \ x),z)).
(y / x) * z = (x / y) * ((y * z) / T(x * (y \ x),z)).
(x / y) * ((y * z) / T(x * (y \ x),z)) = (y / x) * z.
((x / y) * (((x / y) * ((y * z) / T(x * (y \ x),z))) * u)) \ (z * u) = a(x / y,(x / y) * ((y * z) / T(x * (y \ x),z)),u).
((x / y) * (((y / x) * z) * u)) \ (z * u) = a(x / y,(x / y) * ((y * z) / T(x * (y \ x),z)),u).
((x / y) * (((y / x) * z) * u)) \ (z * u) = a(x / y,(y / x) * z,u).
T(x,y) \ ((x * y) * z) = T(x \ y,y) * (T(x,y) * z).
T(x \ y,y) * (T(x,y) * z) = T(x,y) \ ((x * y) * z).
T(x,y) * (T(x \ y,y) * z) = (x * y) * (T(x,y) \ z).
((x * y) * z) \ ((T(x,y) * T(x \ y,y)) * (T(x,y) * z)) = a(T(x,y),T(x \ y,y),T(x,y) * z).
((x * y) * z) \ (y * (T(x,y) * z)) = a(T(x,y),T(x \ y,y),T(x,y) * z).
((x * y) * z) \ (x * (y * z)) = a(T(x,y),T(x \ y,y),T(x,y) * z).
a(x,y,z) \ 1 = a(T(x,y),T(x \ y,y),T(x,y) * z).
a(T(x,y),T(x \ y,y),T(x,y) * z) = a(x,y,z) \ 1.
x * (T(x \ K(x / y,y),K(x / y,y)) * (T(x,K(x / y,y)) * z)) = (x * K(x / y,y)) * z.
x * (T((y / x) / y,K(x / y,y)) * (T(x,K(x / y,y)) * z)) = (x * K(x / y,y)) * z.
x * (T((y / x) / y,K(x / y,y)) * (x * z)) = (x * K(x / y,y)) * z.
(((x \ y) * z) * y) \ (x \ y) = ((z * (x \ y)) * T(x,y)) \ 1.
(((x \ y) * z) * y) \ (x \ y) = T(x,y) \ ((z * (x \ y)) \ 1).
(((x \ y) * z) * y) \ (x \ y) = T(x,y) \ ((x \ y) \ (z \ 1)).
(((x \ y) * z) * y) \ (x \ y) = T(x,y) \ ((y \ x) * (z \ 1)).
(((x \ y) * z) * y) \ (x \ y) = T(x,y) \ ((y \ x) / z).
T(((x \ y) * z) * y,x \ y) = ((z * (x \ y)) * T(x,y)) * (x \ y).
((x * (y \ z)) * T(y,z)) * (y \ z) = T(((y \ z) * x) * z,y \ z).
T(((x * (y \ z)) * T(y,z)) * (y \ z),(x * (y \ z)) * T(y,z)) = ((y \ z) * x) * z.
T(T(((x \ y) * z) * y,x \ y),(z * (x \ y)) * T(x,y)) = ((x \ y) * z) * y.
x * (y \ x) = y * (y * (T(y \ x,y) * (y \ (y \ x)))).
x * (y \ x) = y * (y * ((y \ (y \ x)) * (y \ x))).
x * (y \ x) = y * ((y \ x) * (y \ x)).
x * ((x \ y) * (x \ y)) = y * (x \ y).
L(T(x,y),x \ y,z * (y \ x)) = ((y \ x) / z) * (z * y).
L(x,(y * ((y \ z) * u)) * z,L(u,y,z)) = L(x,z,L(u,y * z,y) * (y * ((y \ z) * u))).
L(x,(y * ((y \ z) * u)) * z,L(u,y,z)) = L(x,z,L(u,y,z) * (y * ((y \ z) * u))).
K(L(x * y,x,z),z) = K(z * ((z * x) * y),z).
L(T(x,y),y \ x,z) = ((y \ x) / z) * (z * y).
L(x,(y \ z) * u,z \ y) = L(x,z \ y,u).
K(x * y,x) = K(y,x).
K(T(x,y),K(x,y)) = 1.
x * (K(x,y) * (x * z)) = (x * T(x,y)) * z.
K(L(x * y,x,z),z) = K((z * x) * y,z).
L(L(T(x,K(L(x,y,z),u)),w,v5),y,z) = L(L(x,y,z),w,v5).
K(x * y,y) = K(T(x,y),y).
K(x \ 1,T(y,x)) = K(y,x).
x * T(x \ (y / x),z) = y * (x \ K(x \ (y / x),z)).
x * (y \ K(y \ (x / y),z)) = y * T(y \ (x / y),z).
T(x,y) * ((x * K(x,y)) * z) = x * (x * (K(x,y) * (K(x,y) * z))).
T(x,y) * (T(x,y) * z) = x * (x * (K(x,y) * (K(x,y) * z))).
x * (x * (K(x,y) * (K(x,y) * z))) = T(x,y) * (T(x,y) * z).
(x * T(y,x)) \ (y * x) = a(x,y,K(y,x)).
(y * x) \ (y * x) = a(x,y,K(y,x)).
1 = a(x,y,K(y,x)).
a(x,y,K(y,x)) = 1.
L(K(x,y),x,y) = K(x,y).
K(x,T(y,x) \ 1) = K(y,x).
K(x,(y \ x) \ 1) = K(x / y,y).
K(x,(x \ y) * 1) = K(x / y,y).
K(x,x \ y) = K(x / y,y).
K(x,y) = K(x / y,y).
K(x / y,y) = K(x,y).
K(T(x,y),y) = K(x,y).
K(x \ 1,y) = K(y,x).
x * (T((y / x) / y,K(x,y)) * (x * z)) = (x * K(x / y,y)) * z.
x * (T((y / x) / y,K(x,y)) * (x * z)) = (x * K(x,y)) * z.
x * (T((y / x) / y,K(x,y)) * (x * z)) = T(x,y) * z.
(x * (y / x)) \ y = K(y,x).
K(x * y,y) = K(x,y).
R(x,K(x,y),z) = (T(x,y) * z) / ((x \ T(x,y)) * z).
R(x,K(x,y),z) = (T(x,y) * z) / (K(x,y) * z).
(T(x,y) * z) / (K(x,y) * z) = R(x,K(x,y),z).
L(x,y,L(x,z,u)) = L(L(x,z,u),u,z).
L(x,y,L(x,z,u)) = x.
L(L(x,y,z),z / (y * x),y) = x.
L(x,y \ 1,x / y) = x.
L(x \ y,x,y * z) = ((y * z) * x) \ (y * (z * y)).
L(x,y,z * (u * z)) = L(x,y,z * (u * (z * (y * x)))).
L(x,y,z * (u * (z * (y * x)))) = L(x,y,z * (u * z)).
x \ (y \ x) = x / T(x * y,y \ x).
x / T(x * y,y \ x) = x \ (y \ x).
T((x / T(x * y,y \ x)) * z,K((x / T(x * y,y \ x)) * ((y \ x) * z),(x / T(x * y,y \ x)) * x)) = (x / T(x * y,y \ x)) * z.
T((x \ (y \ x)) * z,K((x / T(x * y,y \ x)) * ((y \ x) * z),(x / T(x * y,y \ x)) * x)) = (x / T(x * y,y \ x)) * z.
T(T(y,x) \ z,K((x / T(x * y,y \ x)) * ((y \ x) * z),(x / T(x * y,y \ x)) * x)) = (x / T(x * y,y \ x)) * z.
T(T(y,x) \ z,K((x \ (y \ x)) * ((y \ x) * z),(x / T(x * y,y \ x)) * x)) = (x / T(x * y,y \ x)) * z.
T(T(y,x) \ z,K(T(y,x) \ ((y \ x) * z),(x / T(x * y,y \ x)) * x)) = (x / T(x * y,y \ x)) * z.
T(T(y,x) \ z,K(T(y,x) \ ((y \ x) * z),(x \ (y \ x)) * x)) = (x / T(x * y,y \ x)) * z.
T(T(y,x) \ z,K(T(y,x) \ ((y \ x) * z),T(y \ x,x))) = (x / T(x * y,y \ x)) * z.
T(T(y,x) \ z,K(T(y,x) \ ((y \ x) * z),T(y \ x,x))) = (x \ (y \ x)) * z.
T(T(x,y) \ z,K(T(x,y) \ ((x \ y) * z),T(x \ y,y))) = T(x,y) \ z.
a(x * ((y \ 1) * (x * x)),z,u) = a(x / y,x * (x * z),u).
a(x * (y \ (x * x)),z,u) = a(x / y,x * (x * z),u).
a((x \ y) * (x * ((x \ y) * (x \ y))),z,u) = a(T(y,x),(x \ y) * ((x \ y) * z),u).
a((x \ y) * (y * (x \ y)),z,u) = a(T(y,x),(x \ y) * ((x \ y) * z),u).
a(T(x,y),(y \ x) * ((y \ x) * z),u) = a((y \ x) * (x * (y \ x)),z,u).
x / (T(y,z) * ((u / (u * y)) * ((T(y,z) * ((u / (u * y)) * (u / (u * y)))) \ x))) = u / (u * y).
x / (T(y,z) * ((u / (u * y)) * ((u / (u * y)) \ ((u / (u * y)) \ (T(y,z) \ x))))) = u / (u * y).
x / (T(y,z) * ((u / (u * y)) * ((u / (u * y)) \ (((u * y) / u) * (T(y,z) \ x))))) = u / (u * y).
x / (T(y,z) * ((u / (u * y)) * ((u / (u * y)) \ ((u * (y / u)) * (T(y,z) \ x))))) = u / (u * y).
x / (T(y,z) * ((u / (u * y)) * (((u * y) / u) * ((u * (y / u)) * (T(y,z) \ x))))) = u / (u * y).
x / (T(y,z) * ((u / (u * y)) * ((u * (y / u)) * ((u * (y / u)) * (T(y,z) \ x))))) = u / (u * y).
x / (T(y,z) * ((u / (u * y)) * ((u * (y * (y / u))) * (T(y,z) \ x)))) = u / (u * y).
x / (T(y,z) * ((T(y,u) \ 1) * ((T(y,z) * ((T(y,u) \ 1) * (T(y,u) \ 1))) \ x))) = T(y,u) \ 1.
x / (T(y,z) * ((T(y,u) \ 1) * ((T(y,z) * ((T(y,u) \ 1) / T(y,u))) \ x))) = T(y,u) \ 1.
x / (T(y,z) * ((T(y,u) \ 1) * ((T(y,z) * (T(y,u) \ (1 / T(y,u)))) \ x))) = T(y,u) \ 1.
x / (T(y,z) * ((T(y,u) \ 1) * ((T(y,z) * (T(y,u) \ (T(y,u) \ 1))) \ x))) = T(y,u) \ 1.
x / (T(y,z) * (T(y,u) \ ((T(y,z) * (T(y,u) \ (T(y,u) \ 1))) \ x))) = T(y,u) \ 1.
x / (T(y,z) * (((u / y) / u) * ((T(y,z) * (((u / y) / u) * ((u / y) / u))) \ x))) = (u / y) / u.
x / (T(y,z) * (((u / y) / u) * (((u / y) / u) \ (((u / y) / u) \ (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * (((u / y) / u) * (((u / y) / u) \ ((u / (u / y)) * (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * (((u / y) / u) * (((u / y) / u) \ ((u * (y / u)) * (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * (((u / y) / u) * ((u / (u / y)) * ((u * (y / u)) * (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * (((u / y) / u) * ((u * (y / u)) * ((u * (y / u)) * (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * (((u / y) / u) * ((u * (y * (y / u))) * (T(y,z) \ x)))) = (u / y) / u.
(x * (((y \ 1) * x) * z)) \ (x * ((y \ 1) * (x * z))) = a(x / y,x,z).
(x * ((y \ x) * z)) \ (x * ((y \ 1) * (x * z))) = a(x / y,x,z).
(x * ((y \ x) * z)) \ (x * (y \ (x * z))) = a(x / y,x,z).
((x \ y) * ((T(x,y) * (x \ y)) * z)) \ ((x \ y) * (T(x,y) * ((x \ y) * z))) = a(y,x \ y,z).
((x \ y) * (T(y,x \ y) * z)) \ ((x \ y) * (T(x,y) * ((x \ y) * z))) = a(y,x \ y,z).
(y * ((x \ y) * z)) \ ((x \ y) * (T(x,y) * ((x \ y) * z))) = a(y,x \ y,z).
(y * ((x \ y) * z)) \ L(y * ((x \ y) * z),x,y) = a(y,x \ y,z).
(y * ((x \ y) * z)) \ (y * (x \ (y * z))) = a(y,x \ y,z).
a(x / y,x,z) = a(x,y \ x,z).
L(a(x / y,y,z),(x / y) * (y * z),u) * ((u * (x * z)) \ (u * ((x / y) * (y * z)))) = 1.
a(x,y / x,y) = 1.
a(T(x,y),y,x * y) = 1.
((x * (y / x)) * y) / T(x * ((y / x) * y),1) = a(x,y / x,y).
(y * (x * (y / x))) / T(x * ((y / x) * y),1) = a(x,y / x,y).
(y * (x * (y / x))) / T(x * (y * (x \ y)),1) = a(x,y / x,y).
(y * (x * (y / x))) / (x * (y * (x \ y))) = a(x,y / x,y).
(x * (y * (x / y))) / (y * (x * (y \ x))) = 1.
T(T(x,y),z) / T(x,z) = K(T(x,z),y).
((x * K(y,z)) * y) / T(y,z) = R(x,T(y,z) / y,y).
((x * K(y,z)) * y) / T(y,z) = R(x,K(y,z),y).
L(K(x,y) \ z,K(x,y),T(y,x)) = y \ (T(y,x) * z).
L(K(x,y) * z,K(y,x),T(x,y)) = x \ (T(x,y) * z).
(K(x,y) * T(y,x)) * (K(x,y) * z) = K(x,y) * (y * z).
y * (K(x,y) * z) = K(x,y) * (y * z).
K(x,y) * (y * z) = y * (K(x,y) * z).
R(x / T(y,z),T(y,z),K(z,y)) = (x * K(z,y)) / y.
x \ ((y / x) * (z * y)) = T((y / x) * (z * (y / x)),x).
(x \ y) * (x \ (z * y)) = T((y / x) * (z * (y / x)),x).
T((x / y) * (z * (x / y)),y) = (y \ x) * (y \ (z * x)).
L(x * (y \ z),y,y / x) = (x / y) * z.
L((x / T(x,y)) * z,K(x,y),T(x,y)) = x * (T(x,y) \ z).
L(K(x,y) * z,K(y,x),T(y,x)) = y * (T(y,x) \ z).
T(a(x,x * y,z),(x * (x * (y * z))) / (x * ((x * y) * z))) = a(x,x * y,z).
T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) = a(x,x * y,z).
R(x,y * z,(y \ z) \ (y \ (y \ u))) = R(x,y \ z,(y \ z) \ u).
R(x,y * z,(z \ y) * (y \ (y \ u))) = R(x,y \ z,(y \ z) \ u).
R(x,y * z,(z \ y) * (y \ (y \ u))) = R(x,y \ z,(z \ y) * u).
R((x \ 1) * (y * x),(x \ 1) * y,((x \ 1) * y) \ z) = (((x \ 1) * y) * (x * z)) / z.
R(x \ (y * x),(x \ 1) * y,((x \ 1) * y) \ z) = (((x \ 1) * y) * (x * z)) / z.
R(T(y,x),(x \ 1) * y,((x \ 1) * y) \ z) = (((x \ 1) * y) * (x * z)) / z.
R(T(y,x),x \ y,((x \ 1) * y) \ z) = (((x \ 1) * y) * (x * z)) / z.
R(T(y,x),x \ y,(x \ y) \ z) = (((x \ 1) * y) * (x * z)) / z.
R(T(y,x),x \ y,(y \ x) * z) = (((x \ 1) * y) * (x * z)) / z.
R(T(x,y),y \ x,(x \ y) * z) = ((y \ x) * (y * z)) / z.
(x * y) * ((y \ (x \ y)) * (y * ((y * (y \ x)) * z))) = y * (y * (y * ((y \ x) * z))).
(x * y) * ((y \ (x \ y)) * (y * (x * z))) = y * (y * (y * ((y \ x) * z))).
(x * y) * (T(x,y) \ (y * (x * z))) = y * (y * (y * ((y \ x) * z))).
(x * y) * (T(x,y) \ (y * (x * z))) = y * ((y * x) * z).
L(x,y / x,z) \ ((z * (y / x)) * L(x,y / x,z)) = T(z * (y / x),z * y).
L(x,y / x,z) \ (z * ((y / x) * x)) = T(z * (y / x),z * y).
L(x,y / x,z) \ (z * y) = T(z * (y / x),z * y).
a(x * ((y \ x) * x),z,u) = a(x / y,x * (x * z),u).
L(x,((1 \ y) * z) * y,L(z,1,y)) = L(x,y,L(z,1,y) * (1 * ((1 \ y) * z))).
L(x,(y * z) * y,L(z,1,y)) = L(x,y,L(z,1,y) * (1 * ((1 \ y) * z))).
L(x,y * (z * y),L(z,1,y)) = L(x,y,L(z,1,y) * (1 * ((1 \ y) * z))).
L(x,y * (z * y),z) = L(x,y,L(z,1,y) * (1 * ((1 \ y) * z))).
L(x,y * (z * y),z) = L(x,y,z * (1 * ((1 \ y) * z))).
L(x,y * (z * y),z) = L(x,y,z * (1 * (y * z))).
L(x,y * (z * y),z) = L(x,y,z * (y * z)).
T(x,y) / T(T(x,z),y) = K(z,T(x,y)).
(K(x,y) * T(x,y)) * 1 = T(x,y) * K(x,y).
K(x,y) * T(x,y) = T(x,y) * K(x,y).
T(x,y) * K(x,y) = K(x,y) * T(x,y).
((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)).
(x * T(x,y)) * z = x * (x * (K(x,y) * z)).
x * (x * (K(x,y) * z)) = (x * T(x,y)) * z.
L(K(x,y) \ z,K(x,y),x) = T(x,y) \ (x * z).
L(K(x,y) * z,K(y,x),y) = T(y,x) \ (y * z).
(x * (y * T(x,z))) \ (x * (y * (x * (K(x,z) * u)))) = L(u,K(x,z),x * (y * x)).
(x * y) * T(x,z) = x * ((y * x) * K(x,z)).
x * ((y * x) * K(x,z)) = (x * y) * T(x,z).
(K(x,y) * x) * (K(x,y) * z) = K(x,y) * (T(x,y) * z).
T(x,y) * (K(x,y) * z) = K(x,y) * (T(x,y) * z).
T(x,y) * L(z,K(x,y),x) = x * (K(x,y) * z).
a(x * (K(x,y) * (x * x)),z,u) = a(T(x,y),x * (x * z),u).
a((x * T(x,y)) * x,z,u) = a(T(x,y),x * (x * z),u).
a(x * (T(x,y) * x),z,u) = a(T(x,y),x * (x * z),u).
a(x * (x * T(x,y)),z,u) = a(T(x,y),x * (x * z),u).
a(T(x,y),z,u) = a(T(x,y),x * (x * z),u).
a(T(x,y),x * (x * z),u) = a(T(x,y),z,u).
(x * ((y * x) * K(x,z))) \ (x * (y * T(x,z))) = a(x * y,x,K(x,z)).
((x * y) * T(x,z)) \ (x * (y * T(x,z))) = a(x * y,x,K(x,z)).
a(x,y,T(x,z)) \ 1 = a(x * y,x,K(x,z)).
a(x * y,x,K(x,z)) = a(x,y,T(x,z)) \ 1.
(x * T(x,y)) * (K(x,y) * z) = T(x,y) * (T(x,y) * z).
(x * (y * (y * T(z,u)))) \ ((x * (y * (y * K(z,u)))) * z) = a(x,y * (y * K(z,u)),z).
R(x,K(y,z),y) * T(y,z) = (x * K(y,z)) * y.
(K(x,y) * y) * z = K(x,y) * (T(y,x) * (K(x,y) * z)).
(y * K(x,y)) * z = K(x,y) * (T(y,x) * (K(x,y) * z)).
K(x,y) * (T(y,x) * (K(x,y) * z)) = (y * K(x,y)) * z.
(K(x,y) * T(x,y)) * z = K(x,y) * (x * (K(x,y) * z)).
K(x,y) * (x * (K(x,y) * z)) = (K(x,y) * T(x,y)) * z.
a(x,y * x,K(x,z)) = a(x,y,T(x,z)) \ 1.
x * ((x \ y) * ((x * z) * u)) = (y * x) * (x * ((x \ z) * u)).
(x * y) * (y * ((y \ z) * u)) = y * ((y \ x) * ((y * z) * u)).
(x * y) * ((x * y) * ((y \ 1) * z)) = ((x * y) * x) * z.
(x * y) * ((x * y) * (y \ z)) = ((x * y) * x) * z.
(x * y) * (y * ((y \ x) * z)) = ((x * y) * x) * z.
y * ((y \ x) * ((y * x) * z)) = ((x * y) * x) * z.
y * ((y \ x) * ((y * x) * z)) = (x * (y * x)) * z.
x * ((x \ y) * ((x * y) * z)) = y * (x * (y * z)).
T(x,(x * y) * z) = T(x,x * ((x \ y) * z)).
T(x,(x * y) * z) = T(x,(x \ y) * z).
T(x,(x \ y) * z) = T(x,(x * y) * z).
T((x * y) * z,x) = (x * ((x \ y) * z)) * x.
T((x * y) * z,x) = x * (((x \ y) * z) * x).
x * (((x \ y) * z) * x) = T((x * y) * z,x).
K((x * y) * z,x) = K(x * ((x \ y) * z),x).
K((x * y) * z,x) = K((x \ y) * z,x).
K((x \ y) * z,x) = K((x * y) * z,x).
L(a(x / y,y,z),y * ((y \ x) * z),u) * ((u * (x * z)) \ (u * ((x / y) * (y * z)))) = 1.
L(a(x / y,y,z),y * ((y \ x) * z),u) * ((u * (x * z)) \ (u * (y * ((y \ x) * z)))) = 1.
L(T(x,y),y \ x,z) = z * ((z \ (y \ x)) * y).
(x * ((x \ (y \ 1)) * ((y * z) * u))) \ (y * ((y \ z) * u)) = a(x,x / y,(y * z) * u).
x * ((x \ y) * ((y / x) * z)) = y * (y * (x \ z)).
x * (x * ((x \ y) * ((x * y) * z))) = (x * y) * ((x * y) * z).
x * (y * (x * (y * z))) = (x * y) * ((x * y) * z).
(x * y) * ((x * y) * z) = x * (y * (x * (y * z))).
((y * (y * T(z,u))) \ x) * ((x \ (y * (y * K(z,u)))) * z) = a(x,y * (y * K(z,u)),z).
(T(z,u) \ (y \ (y \ x))) * ((x \ (y * (y * K(z,u)))) * z) = a(x,y * (y * K(z,u)),z).
(T(x,y) \ (z \ (z \ u))) * ((((u \ z) * z) * K(x,y)) * x) = a(u,z * (z * K(x,y)),x).
((y * (z * (z * u))) \ x) * ((x \ (y * (z * z))) * u) = a(x,y * (z * z),u).
((y * (z * (z * u))) \ x) * (((x \ y) * (z * z)) * u) = a(x,y * (z * z),u).
((y * (z * (z * u))) \ x) * ((x \ y) * (z * (z * u))) = a(x,y * (z * z),u).
a(x \ 1,y,z * (z * u)) = a(x,y * (z * z),u).
a(y,y * x,z) \ 1 = a(x,y \ 1,y * z).
a(x,x * y,z) \ 1 = a(y,x,x \ z).
L(a(x,x * y,z),x * ((x \ y) * z),u) * ((u * (y * z)) \ (u * (x * ((x \ y) * z)))) = 1.
x * ((y / x) * (x * ((y / x) * z))) = (x * (y * (y / x))) * z.
x * (x * ((x \ y) * ((y / x) * z))) = (x * (y * (y / x))) * z.
x * (y * (y * (x \ z))) = (x * (y * (y / x))) * z.
(x * (y * (y / x))) * z = x * (y * (y * (x \ z))).
(x * (y * (x * y))) * z = x * (y * (x * (y * z))).
a(x,y,z * (z * u)) = a(x,y * (z * z),u).
a(x,y * (z * z),u) = a(x,y,z * (z * u)).
x / (T(y,z) * (((u / y) / u) * (u * (y * (y * (u \ (T(y,z) \ x))))))) = (u / y) / u.
x / (T(y,z) * (u * ((u \ (u / y)) * (y * (y * (u \ (T(y,z) \ x))))))) = (u / y) / u.
x / (T(y,z) * (u * ((y \ 1) * (y * (y * (u \ (T(y,z) \ x))))))) = (u / y) / u.
x / (T(y,z) * (u * (T(1 * y,y) * (u \ (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * (u * (T(y,y) * (u \ (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * (u * (y * (u \ (T(y,z) \ x))))) = (u / y) / u.
x / (T(y,z) * ((u / (u * y)) * (u * (y * (y * (u \ (T(y,z) \ x))))))) = u / (u * y).
x / (T(y,z) * (u * (((u * y) \ u) * (y * (y * (u \ (T(y,z) \ x))))))) = u / (u * y).
x / (T(y,z) * (u * ((y \ 1) * (y * (y * (u \ (T(y,z) \ x))))))) = u / (u * y).
x / (T(y,z) * (u * (T(1 * y,y) * (u \ (T(y,z) \ x))))) = u / (u * y).
x / (T(y,z) * (u * (T(y,y) * (u \ (T(y,z) \ x))))) = u / (u * y).
x / (T(y,z) * (u * (y * (u \ (T(y,z) \ x))))) = u / (u * y).
(x / y) / x = x / (x * y).
x * (T(y / (y * x),K(x,y)) * (x * z)) = T(x,y) * z.
x \ y = (T(K(z,u),y) * (y \ (K(u,z) * x))) \ 1.
x \ y = (y \ (K(u,z) * x)) \ (T(K(z,u),y) \ 1).
x \ y = ((K(u,z) * x) \ y) * (T(K(z,u),y) \ 1).
x \ y = ((K(u,z) * x) \ y) / T(K(z,u),y).
((K(x,y) * z) \ u) / T(K(y,x),u) = z \ u.
a((x * y) * L(1 \ y,1,x),T(x,x * y),z) = 1.
a((x * y) * L(y,1,x),T(x,x * y),z) = 1.
a((x * y) * y,T(x,x * y),z) = 1.
a(x * (y * y),T(x,x * y),z) = 1.
a(x * (y * y),T(x,y),z) = 1.
a(x,y * (y * T(x,y)),z) = 1.
a(x,y * (x * y),z) = 1.
a(x * (y * x),y,z) = 1.
(x * ((x * y) * z)) / (T(y,x) \ (x * (y * z))) = y * x.
(x * ((x * y) * z)) * ((x * (y * z)) \ T(y,x)) = y * x.
(x * (y / x)) * K(y,x) = (y / x) * x.
(x * (y / x)) * K(y,x) = y.
T(x,y) * K(x,y) = T(T(x,y),y).
K(x,y) * T(x,y) = T(T(x,y),y).
K(x,y) * (x * (K(x,y) * z)) = T(T(x,y),y) * z.
K(x,y) * (T(y,x) * (K(x,y) * z)) = T(y,y / x) * z.
(((x * (y / x)) \ y) * ((x * (y / x)) / (x * (y * (x \ y))))) \ 1 = T(x * (y / x),(y * (x * (y / x))) / (x * (y * (x \ y)))).
(K(y,x) * ((x * (y / x)) / (x * (y * (x \ y))))) \ 1 = T(x * (y / x),(y * (x * (y / x))) / (x * (y * (x \ y)))).
((x * (y / x)) / (x * (y * (x \ y)))) \ (K(y,x) \ 1) = T(x * (y / x),(y * (x * (y / x))) / (x * (y * (x \ y)))).
((x * (y / x)) / (x * (y * (x \ y)))) \ (K(x,y) * 1) = T(x * (y / x),(y * (x * (y / x))) / (x * (y * (x \ y)))).
((x * (y / x)) / (x * (y * (x \ y)))) \ K(x,y) = T(x * (y / x),(y * (x * (y / x))) / (x * (y * (x \ y)))).
((x * (y * (x \ y))) / (x * (y / x))) * K(x,y) = T(x * (y / x),(y * (x * (y / x))) / (x * (y * (x \ y)))).
((x * (y * (x \ y))) / (x * (y / x))) * K(x,y) = T(x * (y / x),1).
((x * (y * (x \ y))) / (x * (y / x))) * K(x,y) = x * (y / x).
1 / (x * (y * (x * y))) = (x * (y * (y * (y * x)))) \ y.
(x * (y * (x * y))) \ 1 = (x * (y * (y * (y * x)))) \ y.
(y * (x * y)) \ (x \ 1) = (x * (y * (y * (y * x)))) \ y.
y \ ((y * x) \ (x \ 1)) = (x * (y * (y * (y * x)))) \ y.
(x * (y * (y * (y * x)))) \ y = y \ ((y * x) \ (x \ 1)).
1 \ (((x * (y * (y * (y * x)))) \ y) * ((x * (y * (x * y))) * z)) = L(z,x * (y * (x * y)),(x * (y * (y * (y * x)))) \ y).
1 \ ((y \ ((y * x) \ (x \ 1))) * ((x * (y * (x * y))) * z)) = L(z,x * (y * (x * y)),(x * (y * (y * (y * x)))) \ y).
1 \ ((y \ ((y * x) \ (x \ 1))) * (x * (y * (x * (y * z))))) = L(z,x * (y * (x * y)),(x * (y * (y * (y * x)))) \ y).
1 \ L(z,y,x * (y * x)) = L(z,x * (y * (x * y)),(x * (y * (y * (y * x)))) \ y).
L(z,y,x * (y * x)) = L(z,x * (y * (x * y)),(x * (y * (y * (y * x)))) \ y).
L(z,y,x * (y * x)) = L(z,x * (y * (x * y)),y \ ((y * x) \ (x \ 1))).
L(x,y,z * (y * z)) = x.
L(x,y * (z * y),z) = x.
(x * (y * x)) \ z = (y * (x * (y * x))) \ (y * z).
(x * (y * (x * y))) \ (x * z) = (y * (x * y)) \ z.
x \ 1 = y * (z * (y * (x / (x * (y * (z * (y * x))))))).
x * (y * (x * (z / (z * (x * (y * (x * z))))))) = z \ 1.
(x * y) * (L(z,y,x) * ((x * y) * (u * (w * (u * ((x * (((y * z) * x) * y)) / ((x * (((y * z) * x) * y)) * (u * (w * (u * (x * (((y * z) * x) * y)))))))))))) = 1.
(x * y) * (L(z,y,x) * ((x * y) * ((x * (((y * z) * x) * y)) \ 1))) = 1.
(x * y) * (L(z,y,x) * ((x * y) * ((((y * z) * x) * y) \ (x \ 1)))) = 1.
(x * (((y * z) * x) * y)) * ((((y * z) * x) * y) \ (x \ 1)) = 1.
(((y * z) * x) * y) * (((((y * z) * x) * y) \ x) * (x \ 1)) = 1.
(((y * z) * x) * y) * (((x * y) \ ((y * z) \ x)) * (x \ 1)) = 1.
(((x * y) * z) * x) * (((z * x) \ ((x * y) \ z)) / z) = 1.
(x * (a(x / (y * z),y,z) * u)) / u = R(x,(y * z) \ 1,y).
(x * (a(x / (y * z),y,z) * u)) / u = R(x,z \ (y \ 1),y).
R(((x / (y * z)) * y) * z,x,x \ u) = R(x,z \ (y \ 1),y).
L(x,L(x,y,z),u) = L(L(x,y,z),z,y).
L(x,L(x,y,z),u) = x.
L(x,((y * z) \ (y * u)) / x,y * z) = ((y * z) * (L(z \ u,z,y) / x)) \ (y * (z * (z \ u))).
L(x,((y * z) \ (y * u)) / x,y * z) = ((y * z) * (L(z \ u,z,y) / x)) \ (y * u).
L(x,((K(y,z) * u) \ 1) / x,K(y,z) * u) = ((K(y,z) * u) * (L(u \ K(z,y),u,K(y,z)) / x)) \ (K(y,z) * K(z,y)).
L(x,(u \ (K(y,z) \ 1)) / x,K(y,z) * u) = ((K(y,z) * u) * (L(u \ K(z,y),u,K(y,z)) / x)) \ (K(y,z) * K(z,y)).
L(x,(u \ (K(z,y) * 1)) / x,K(y,z) * u) = ((K(y,z) * u) * (L(u \ K(z,y),u,K(y,z)) / x)) \ (K(y,z) * K(z,y)).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = ((K(y,z) * u) * (L(u \ K(z,y),u,K(y,z)) / x)) \ (K(y,z) * K(z,y)).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = ((K(y,z) * u) * ((u \ K(z,y)) / x)) \ (K(y,z) * K(z,y)).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = ((K(y,z) * u) * ((u \ K(z,y)) / x)) \ 1.
L(x,(u \ K(z,y)) / x,K(y,z) * u) = ((u \ K(z,y)) / x) \ ((K(y,z) * u) \ 1).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = ((u \ K(z,y)) / x) \ (u \ (K(y,z) \ 1)).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = ((u \ K(z,y)) / x) \ (u \ (K(z,y) * 1)).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = ((u \ K(z,y)) / x) \ (u \ K(z,y)).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = (x / (u \ K(z,y))) * (u \ K(z,y)).
L(x,(u \ K(z,y)) / x,K(y,z) * u) = (x * (K(z,y) \ u)) * (u \ K(z,y)).
L(x,(y \ K(z,u)) / x,K(u,z) * y) = (x * (K(u,z) * y)) * (y \ K(z,u)).
T(x,y) = T(T(x,y),L(x,z,u)).
T(T(x,y),L(x,z,u)) = T(x,y).
L(x,y,z) * x = x * L(x,y,z).
T(L(x,y,z) * (u / x),x) = T(L(x,y,z) * (u / x),L(x,y,z) * u).
T(L(x,y,z) * (u / x),L(x,y,z) * u) = T(L(x,y,z) * (u / x),x).
K(x,y) * (T(y,x) * (K(x,y) * z)) = T(y,x \ y) * z.
(T(x,y) \ y) * T(x,y) = T(y,x).
T(x \ y,y) * T(x,y) = T(y,x).
x * (y \ T(x / y,x)) = x \ ((x / y) * (x * (x / y))).
x * (y \ (y \ x)) = x \ ((x / y) * (x * (x / y))).
x * (y \ (y \ x)) = x \ (x * ((y \ x) * (x / y))).
x * (y \ (y \ x)) = (y \ x) * (x / y).
(x \ y) * (y / x) = y * (x \ (x \ y)).
(x / y) * (y \ x) = x * (y \ (y \ x)).
(T(x,y) * z) / a(y \ x,y,z) = (y \ x) * (y * z).
((T(x,y) * z) \ (K(y,x) \ T(x,y))) * (x * z) = T(T(x,y),(K(y,x) * T(x,y)) * z).
((T(x,y) * z) \ (K(x,y) * T(x,y))) * (x * z) = T(T(x,y),(K(y,x) * T(x,y)) * z).
((T(x,y) * z) \ T(T(x,y),y)) * (x * z) = T(T(x,y),(K(y,x) * T(x,y)) * z).
((T(x,y) * z) \ T(T(x,y),y)) * (x * z) = T(T(x,y),x * z).
((T(x,y) * z) \ T(T(x,y),y)) * (x * z) = T(T(x,z),y).
(x \ (T(y,x) \ 1)) * T(z,y \ x) = (x \ (x \ z)) * (x / T(y,x)).
(x \ (T(y,x) \ 1)) * T(z,y \ x) = (x \ (x \ z)) * (y \ x).
(x \ ((y * x) \ 1)) * T(z,y \ 1) = (x \ (x \ z)) * (x / (y * x)).
(x \ (x \ (y \ 1))) * T(z,y \ 1) = (x \ (x \ z)) * (x / (y * x)).
x \ (x \ (y \ T(z,y \ 1))) = (x \ (x \ z)) * (x / (y * x)).
x \ (x \ (z / y)) = (x \ (x \ z)) * (x / (y * x)).
x \ (x \ (z / y)) = (x \ (x \ z)) * (y \ 1).
x \ (x \ (z / y)) = (x \ (x \ z)) / y.
(x \ (x \ y)) / z = x \ (x \ (y / z)).
(x \ ((T(K(y,z),u) * (u \ (K(z,y) * x))) \ 1)) * T(w,u) = (x \ (x \ w)) * (x / (T(K(y,z),u) * (u \ (K(z,y) * x)))).
(x \ ((u \ (K(z,y) * x)) \ (T(K(y,z),u) \ 1))) * T(w,u) = (x \ (x \ w)) * (x / (T(K(y,z),u) * (u \ (K(z,y) * x)))).
(x \ (((K(z,y) * x) \ u) * (T(K(y,z),u) \ 1))) * T(w,u) = (x \ (x \ w)) * (x / (T(K(y,z),u) * (u \ (K(z,y) * x)))).
(x \ (((K(z,y) * x) \ u) / T(K(y,z),u))) * T(w,u) = (x \ (x \ w)) * (x / (T(K(y,z),u) * (u \ (K(z,y) * x)))).
(x \ (x \ u)) * T(w,u) = (x \ (x \ w)) * (x / (T(K(y,z),u) * (u \ (K(z,y) * x)))).
(x \ (x \ y)) * T(z,y) = (x \ (x \ z)) * y.
(x \ (x \ y)) * (x * (x / 1)) = T(y,x * (x / 1)).
(x \ (x \ y)) * (x * x) = T(y,x * (x / 1)).
T((x \ y) * x,x) = T(y,x * (x / 1)).
T(T(y,x),x) = T(y,x * (x / 1)).
T(T(x,y),y) = T(x,y * y).
((T(x,y) * z) \ T(x,y * y)) * (x * z) = T(T(x,z),y).
K(x,y) * (x * (K(x,y) * z)) = T(x,y * y) * z.
K(x,y) * T(x,y) = T(x,y * y).
(x * L(y,z,u)) * y = x * (L(y,z,u) * y).
(x * L(y,z,u)) * y = x * (y * L(y,z,u)).
x * (T(x,y) * (K(x,y) * z)) = T(x,y) * (T(x,y) * z).
x * (K(x,y) * (T(x,y) * z)) = T(x,y) * (T(x,y) * z).
T(x \ 1,y) = L(T(x \ 1,y),x,z).
L(T(x \ 1,y),x,z) = T(x \ 1,y).
a(x,y,T(x,z)) = 1.
L(x,y,T(x,z)) = T(T(x,z),z \ x).
L(x,y,T(x,z)) = x.
a(x,y * x,K(x,z)) = 1 \ 1.
a(x,y * x,K(x,z)) = 1.
a(x / y,z,y \ x) = 1.
(T(x,y) * z) * x = T(x,y) * (z * x).
(T(x,y) * (z * x)) \ (x * (T(x,y) * z)) = K(L(x,z,T(x,y)),T(x,y) * z).
(T(x,y) * (z * x)) \ (x * (T(x,y) * z)) = K(x,T(x,y) * z).
R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z).
x \ (T(x,y) * z) = (x \ K(x,y)) * (x * z).
(x \ K(x,y)) * (x * z) = x \ (T(x,y) * z).
T(x,y) * (K(x,y) * z) = T(x,y * y) * z.
K(x,y) * (T(x,y) * z) = T(x,y * y) * z.
y * (K(x,y) * z) = T(y,x \ y) * z.
T(x,y \ x) * z = x * (K(y,x) * z).
L(x,z,T(y,z) * y) = x.
L(x,y,z * T(z,y)) = x.
x * (T(x,y * y) * z) = T(x,y) * (T(x,y) * z).
T(x,y) * (T(x,y) * z) = x * (T(x,y * y) * z).
x * ((T(y,x) * x) \ T(z,y \ x)) = T(z,x) / T(y,x).
x * (T(y * x,x) \ T(z,y \ x)) = T(z,x) / T(y,x).
(K(x,y) * z) * R(x,K(x,y),z) = T(T(x,y) * z,R(x,K(x,y),z)).
K(R(x,K(x,y),z),K(x,y) * z) = K(R(x,K(x,y),z),T(x,y) * z).
K(R(x,K(x,y),z),T(x,y) * z) = K(R(x,K(x,y),z),K(x,y) * z).
K(T(x,y) * z,K(x,y) * z) = K(R(x,K(x,y),z),T(x,y) * z).
K(T(x,y) * z,K(x,y) * z) = K(R(x,K(x,y),z),K(x,y) * z).
K(R(x,K(x,y),z),K(x,y) * z) = K(T(x,y) * z,K(x,y) * z).
K(R(x,K(x,y),z),T(x,y) * z) = K(T(x,y) * z,K(x,y) * z).
(x * y) \ (y * z) = y \ ((x \ y) * z).
(T(y,x) * x) \ T(z,y \ x) = (x \ (x \ z)) * (y \ x).
T(x * y,y) \ T(z,x \ y) = (y \ (y \ z)) * (x \ y).
(x * ((y * x) \ ((y * z) * u))) \ (y * ((y \ z) * u)) = a(x,x / y,(y * z) * u).
(x * ((x \ y) * ((y \ z) * u))) \ (y * ((y \ z) * u)) = a(x,x / y,(y * z) * u).
a(x,x * y,(y \ z) * u) = a(x,x / y,(y * z) * u).
a(x,x / y,(y * z) * u) = a(x,x * y,(y \ z) * u).
x * ((x \ (x \ z)) * (y \ x)) = T(z,x) / T(y,x).
x \ (z * (y \ x)) = T(z,x) / T(y,x).
T(x,y) / T(z,y) = y \ (x * (z \ y)).
x \ (y * (T(y,z) \ x)) = K(z,T(y,x)).
x \ (T(y,z) * (y \ x)) = K(T(y,x),z).
x * (x * (y * (y * K((y \ x) * (y * y),x * y)))) = ((y \ x) * (y * y)) * (x * y).
x * (x * (y * (y * K(T(x * y,y),x * y)))) = ((y \ x) * (y * y)) * (x * y).
x * (x * (y * (y * 1))) = ((y \ x) * (y * y)) * (x * y).
x * (x * (y * y)) = ((y \ x) * (y * y)) * (x * y).
x * (x * (y * y)) = T(x * y,y) * (x * y).
x * (x * (y * y)) = (x * y) * T(x * y,y).
(x * y) * T(x * y,y) = x * (x * (y * y)).
T(x,y) * z = x * (K(x,y) * z).
x * (K(x,y) * z) = T(x,y) * z.
K(x,y) * z = T(y,x) \ (y * z).
T(x,y) \ (x * z) = K(y,x) * z.
(x * (y * T(x,z))) \ (x * (y * (T(x,z) * u))) = L(u,K(x,z),x * (y * x)).
L(L(x,T(y,z),u),u * T(y,z),y) = L(x,K(y,z),y * (u * y)).
L(x,K(y,z),T(y,z)) = x.
K(x,y) * z = y * (T(y,x) \ z).
x * (T(x,y) \ z) = K(y,x) * z.
x \ (K(y,z) * x) = K(T(y,x),z).
T(K(x,y),z) = K(T(x,z),y).
x \ (K(z,y) * x) = K(z,T(y,x)).
T(K(z,y),x) = K(z,T(y,x)).
K(T(x,y),z) = K(x,T(z,y)).
((K(x,y) * z) \ u) / K(T(y,u),x) = z \ u.
((K(x,y) * z) \ u) / K(y,T(x,u)) = z \ u.
((K(x,y) * z) \ u) * K(T(x,u),y) = z \ u.
((K(x,y) * z) \ u) * K(x,T(y,u)) = z \ u.
T(K(x,y),z) = K(x,T(y,z)).
K(x,y) * z = x \ (T(x,y) * z).
x \ (T(x,y) * z) = K(x,y) * z.
(x \ K(x,y)) * (x * z) = K(x,y) * z.
x * (y \ z) = y * ((y \ (x / y)) * z).
x * ((x \ (y / x)) * z) = y * (x \ z).
x * (K(y,x) \ z) = K(y,x) * ((K(y,x) \ T(x,y)) * z).
x * (K(x,y) * z) = K(y,x) * ((K(y,x) \ T(x,y)) * z).
T(x,y) * z = K(y,x) * ((K(y,x) \ T(x,y)) * z).
T(x,y) * z = K(y,x) * ((K(x,y) * T(x,y)) * z).
T(x,y) * z = K(y,x) * (T(x,y * y) * z).
K(x,y) * (T(y,x * x) * z) = T(y,x) * z.
R(x,y * z,y * ((z * y) \ (y \ u))) = R(x,y \ z,(z \ y) * u).
T(x,y) * (T(x \ y,y) * z) = y * L(z,y \ 1,x).
(T(x,y) * z) / ((x \ K(x,y)) * (x * z)) = x.
(T(x,y) * z) / (K(x,y) * z) = x.
R(x,K(x,y),z) = x.
K(x,T(x,y) * z) = K(T(x,y) * z,K(x,y) * z).
K(T(x,y) * z,K(x,y) * z) = K(x,T(x,y) * z).
K(x,K(x,y) * z) = K(T(x,y) * z,K(x,y) * z).
K(x,K(x,y) * z) = K(x,T(x,y) * z).
K(x,T(x,y) * z) = K(x,K(x,y) * z).
(K(x,y) * z) * x = T(T(x,y) * z,R(x,K(x,y),z)).
(K(x,y) * z) * x = T(T(x,y) * z,x).
(T(x,y) * (z * x)) \ (x * (T(x,y) * z)) = K(x,K(x,y) * z).
(((x * y) * x) * y) \ (x * ((x \ (x * y)) * ((x \ (x * y)) * z))) = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
((x * (y * x)) * y) \ (x * ((x \ (x * y)) * ((x \ (x * y)) * z))) = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
(x * (y * (x * y))) \ (x * ((x \ (x * y)) * ((x \ (x * y)) * z))) = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
(x * (y * (x * y))) \ (x * (y * ((x \ (x * y)) * z))) = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
(x * (y * (x * y))) \ (x * (y * (y * z))) = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
(y * (x * y)) \ (y * (y * z)) = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
(((y * (x * y)) \ y) * y) * z = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
(((x * y) \ 1) * y) * z = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
((y \ (x \ 1)) * y) * z = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
T(x \ 1,y) * z = L(T(x,x * y) \ z,(x \ (x * y)) * (x * y),x).
T(x \ 1,y) * z = L(T(x,y) \ z,(x \ (x * y)) * (x * y),x).
T(x \ 1,y) * z = L(T(x,y) \ z,y * (x * y),x).
T(x \ 1,y) * z = L(T(x,y) \ z,x,T(y,x) * y).
T(x \ 1,y) * z = L(T(x,y) \ z,x,y * T(y,x)).
T(x \ 1,y) * z = T(x,y) \ z.
L(a(x,y,y \ z),x * z,u) = (u * (x * z)) \ (u * (y * ((y \ x) * z))).
(x * (y * z)) \ (x * (u * ((u \ y) * z))) = L(a(y,u,u \ z),y * z,x).
L(a(x,x * y,z),x * ((x \ y) * z),u) * L(a(y,x,x \ z),y * z,u) = 1.
R(x * (y \ z),x,x \ y) = (x * T(z,y)) / y.
K(R(x * y,x,x \ z),z) = K(x * (y * z),z).
R(x,y,z) * (x * u) = x * (R(x,y,z) * (x * (x \ u))).
R(x,y,z) * (x * u) = x * (R(x,y,z) * u).
(R(x,y,z) * x) \ (x * (R(x,y,z) * (x * u))) = L(x * u,x,R(x,y,z)).
(R(x,y,z) * x) \ (x * (x * (R(x,y,z) * u))) = L(x * u,x,R(x,y,z)).
(((R(x,y,z) * x) \ x) * x) * (R(x,y,z) * u) = L(x * u,x,R(x,y,z)).
((x \ (R(x,y,z) \ x)) * x) * (R(x,y,z) * u) = L(x * u,x,R(x,y,z)).
T(R(x,y,z) \ x,x) * (R(x,y,z) * u) = L(x * u,x,R(x,y,z)).
(x * ((x \ y) * z)) / T(R(y,x,x \ z),z) = z.
(x * ((x \ y) * z)) / R(T(y,z),x,x \ z) = z.
R(((x / (y * z)) * y) * z,x,x \ u) * u = x * (a(x / (y * z),y,z) * u).
R(x,z \ (y \ 1),y) * u = x * (a(x / (y * z),y,z) * u).
x * (a(x / (y * z),y,z) * u) = R(x,z \ (y \ 1),y) * u.
(((x / (y * z)) * y) * z) \ (R(x,z \ (y \ 1),y) * u) = L(u,a(x / (y * z),y,z),x).
((x * y) * (L(y \ 1,y,x) * z)) \ (x * z) = a(x * y,x * ((y * x) * 1),z).
((x * y) * ((y \ 1) * z)) \ (x * z) = a(x * y,x * ((y * x) * 1),z).
((x * y) * (y \ z)) \ (x * z) = a(x * y,x * ((y * x) * 1),z).
(y * ((y \ x) * z)) \ (x * z) = a(x * y,x * ((y * x) * 1),z).
a(y,y * x,z) = a(x * y,x * ((y * x) * 1),z).
a(y,y * x,z) = a(x * y,x * (y * x),z).
a(x * y,x * (y * x),z) = a(y,y * x,z).
T(K(x,y),z) = L(T(K(x,y),z),x,y).
K(x,T(y,z)) = L(T(K(x,y),z),x,y).
K(x,T(y,z)) = L(K(x,T(y,z)),x,y).
L(K(x,T(y,z)),x,y) = K(x,T(y,z)).
(R(x,y,z) * x) / R(x,y,z) = x.
R(x,y,z) * (x / R(x,y,z)) = x.
T(x,R(x,y,z) \ 1) = x.
a(x,T(x,y),z) = 1.
((x / y) * ((y \ 1) * x)) / x = (x / y) * (y \ 1).
((x / y) * (y \ x)) / x = (x / y) * (y \ 1).
(x * (y \ (y \ x))) / x = (x / y) * (y \ 1).
x * ((y \ (y \ x)) / x) = (x / y) * (y \ 1).
x * (y \ (y \ (x / x))) = (x / y) * (y \ 1).
x * (y \ (y \ 1)) = (x / y) * (y \ 1).
x * (y \ (y \ 1)) = (x / y) / y.
x / (T(y,z) * (T(y,u) \ (((T(y,z) / T(y,u)) / T(y,u)) \ x))) = T(y,u) \ 1.
x / (T(y,z) * (T(y,u) \ ((T(y,u) / (T(y,z) / T(y,u))) * x))) = T(y,u) \ 1.
x / (T(y,z) * (T(y,u) \ ((T(y,u) * (T(y,u) / T(y,z))) * x))) = T(y,u) \ 1.
x / (T(y,z) * (T(y,u) \ (T(y,u) * (T(y,u) * (T(y,z) \ x))))) = T(y,u) \ 1.
x / (T(y,z) * (T(y,u) \ (y * (T(y,u * u) * (T(y,z) \ x))))) = T(y,u) \ 1.
x / (T(y,z) * (K(u,y) * (T(y,u * u) * (T(y,z) \ x)))) = T(y,u) \ 1.
x / (T(y,z) * (T(y,u) * (T(y,z) \ x))) = T(y,u) \ 1.
1 \ ((T(x,y) * y) * (x * y)) = T(T(x,y) * (y * (x * y)),a(T(x,y),y,x * y)).
1 \ (T(x * y,y) * (x * y)) = T(T(x,y) * (y * (x * y)),a(T(x,y),y,x * y)).
1 \ ((x * y) * T(x * y,y)) = T(T(x,y) * (y * (x * y)),a(T(x,y),y,x * y)).
1 \ (x * (x * (y * y))) = T(T(x,y) * (y * (x * y)),a(T(x,y),y,x * y)).
((1 \ x) * x) * (y * y) = T(T(x,y) * (y * (x * y)),a(T(x,y),y,x * y)).
(x * x) * (y * y) = T(T(x,y) * (y * (x * y)),a(T(x,y),y,x * y)).
x * (x * (y * y)) = T(T(x,y) * (y * (x * y)),a(T(x,y),y,x * y)).
x * (x * (y * y)) = T(T(x,y) * (y * (x * y)),1).
x * (x * (y * y)) = T(x,y) * (y * (x * y)).
T(x,y) * (y * (x * y)) = x * (x * (y * y)).
(x * (x * (y * y))) * z = T(x,y) * (y * (x * (y * z))).
x * (x * ((y * y) * z)) = T(x,y) * (y * (x * (y * z))).
x * (x * (y * (y * z))) = T(x,y) * (y * (x * (y * z))).
T(x,y) * (y * (x * (y * z))) = x * (x * (y * (y * z))).
((x * (y / (z \ 1))) / z) \ x = L(y \ 1,z \ 1,x).
((x * (y * (1 \ z))) / z) \ x = L(y \ 1,z \ 1,x).
((x * (y * z)) / z) \ x = L(y \ 1,z \ 1,x).
(x / (y * (z * x))) * y = L(z \ 1,x \ 1,y).
(T(x \ 1,y) * (a(x,z,z \ (x \ T(x \ 1,y))) * u)) / u = T(x \ 1,y).
(L(T(x \ 1,y),x,z \ 1) * u) / u = T(x \ 1,y).
(L(T(x \ 1,y),x,z) * u) / u = T(x \ 1,y).
(T(x \ 1,y) * u) / u = T(x \ 1,y).
(T(x,y) \ u) / u = T(x \ 1,y).
T(x,y) \ 1 = T(x \ 1,y).
(x * (1 * y)) / y = L(x,z \ 1,T(z,u)).
(x * y) / y = L(x,z \ 1,T(z,u)).
x = L(x,z \ 1,T(z,u)).
x = L(x,z,T(z,u) \ 1).
x = L(x,z,T(z \ 1,u)).
L(x,y,T(y \ 1,z)) = x.
(x / (y * (z * x))) * y = L(z \ 1,x,y \ 1).
(x / (y * (z * x))) * y = L(z \ 1,x,y).
T(x,y) * (T(x \ y,y) * z) = y * L(z,y,x \ 1).
T(x,y) * (T(x \ y,y) * z) = y * L(z,y,x).
x * (y * ((x * y) \ z)) = L(z,y,x \ 1).
x * (y * ((x * y) \ z)) = L(z,y,x).
x * ((y * x) \ (y * z)) = L(z,y,x).
x * ((y * x) \ (y * z)) = L(z,x,y).
x / (T(y,z) * (T(y,u) * (T(y,z) \ x))) = T(y \ 1,u).
x * (y * ((x * y) \ z)) = L(z,x,y).
T(x,y) * (T(x \ y,y) * z) = y * L(z,x,y).
(((x / (y * z)) * y) * z) \ (R(x,z \ (y \ 1),y) * u) = L(u,x,a(x / (y * z),y,z)).
L(a(x,x * y,z),u,x * ((x \ y) * z)) * L(a(y,x,x \ z),y * z,u) = 1.
L(a(x,x * y,z),u,x * ((x \ y) * z)) * L(a(y,x,x \ z),u,y * z) = 1.
L(L(x,u,T(y,z)),u * T(y,z),y) = L(x,K(y,z),y * (u * y)).
L(L(x,y,T(z,u)),z,y * T(z,u)) = L(x,K(z,u),z * (y * z)).
L(x,K(u,z) * y,(y \ K(z,u)) / x) = (x * (K(u,z) * y)) * (y \ K(z,u)).
L(x,y \ K(z,u),K(u,z) * y) = (x * (K(u,z) * y)) * (y \ K(z,u)).
L(x,K(u,z) * y,y \ K(z,u)) = (x * (K(u,z) * y)) * (y \ K(z,u)).
(x * (K(y,z) * u)) * (u \ K(z,y)) = L(x,K(y,z) * u,u \ K(z,y)).
L(T(x,y),z,y \ x) = z * ((z \ (y \ x)) * y).
L(x,z,y / x) \ (z * y) = T(z * (y / x),z * y).
L(x,y,z) \ (z * y) = T(z * (y / x),z * y).
T(x * (y / z),x * y) = L(z,y,x) \ (x * y).
x * (y \ ((y / x) * z)) = L(z,y,y / x).
L(L(x,y,z),y,z / (y * x)) = x.
L(L(x,y,z),y,z) = x.
L(x,z \ y,(y \ z) * u) = L(x,z \ y,u).
L(x,y \ z,(z \ y) * u) = L(x,u,y \ z).
L(x,y,(y * z) / x) = ((x / (y * z)) * y) * z.
L(x,y * z,y) = ((x / (y * z)) * y) * z.
L(x,y,y * z) = ((x / (y * z)) * y) * z.
L(x,y,z) = ((x / (y * z)) * y) * z.
((x / (y * z)) * y) * z = L(x,y,z).
(x * ((x \ y) * z)) / L(T(y,z),x,z) = z.
K(L(x * y,x,z),z) = K(x * (y * z),z).
K((x * y) * z,x) = K(y * (z * x),x).
L(x * (y \ z),x,y) = (x * T(z,y)) / y.
R(L(x,y,z),x,x \ u) = R(x,z \ (y \ 1),y).
L(L(x,y,z),x,u) = R(x,z \ (y \ 1),y).
L(x,y,z) = R(x,z \ (y \ 1),y).
R(x,y \ (z \ 1),z) = L(x,z,y).
L(T(x,y),y,z) = ((y \ x) * (y * z)) / z.
((x \ y) * (x * z)) / z = L(T(y,x),x,z).
x \ (y * ((y \ z) * x)) = L(T(z,x),y,x).
x \ (y * ((y \ z) * x)) = L(T(z,x),x,y).
((L(x,y,z) * (y * (z * y))) \ (y * ((z * y) * x))) * K(L(x,y,y * z),y * (z * y)) = 1.
((L(x,y,z) * (y * (z * y))) \ (y * ((z * y) * x))) * K(L(x,y,z),y * (z * y)) = 1.
L(x,u,L(x,y,z)) \ (L(x,y,z) * u) = T(L(x,y,z) * (u / x),x).
x \ (L(x,y,z) * u) = T(L(x,y,z) * (u / x),x).
T(L(x,y,z) * (u / x),x) = x \ (L(x,y,z) * u).
L(x,y,z) \ (R(x,z \ (y \ 1),y) * u) = L(u,x,a(x / (y * z),y,z)).
L(x,y,z) \ (L(x,y,z) * u) = L(u,x,a(x / (y * z),y,z)).
u = L(u,x,a(x / (y * z),y,z)).
L(x,y,a(y / (z * u),z,u)) = x.
x * a(x / (y * z),y,z) = L(x,y,z).
T(x,(x \ y) * z) = T(x,y * (z * x)).
K((x \ y) * z,x) = K(y * (z * x),x).
R(T(x,y),y \ x,(x \ y) * z) = L(T(x,y),y,z).
(x * ((y * (x \ (z / x))) * (T(y,x \ (z / x)) \ x))) * a(x,y * (x \ (z / x)),T(y,x \ (z / x)) \ x) = z.
(x * ((x \ (z / x)) * L(x,y,x \ (z / x)))) * a(x,y * (x \ (z / x)),T(y,x \ (z / x)) \ x) = z.
(x * (y \ L(y,z,y \ (x / y)))) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
K(T(x,y) \ z,K(T(x,y) \ ((x \ y) * z),T(x \ y,y))) = 1.
1 \ (x * ((x \ (y * (x * y))) * z)) = T((y * (x * y)) * z,a(y * (x * y),x,x \ z)).
1 \ (x * ((T(y,x) * y) * z)) = T((y * (x * y)) * z,a(y * (x * y),x,x \ z)).
1 \ (x * ((y * T(y,x)) * z)) = T((y * (x * y)) * z,a(y * (x * y),x,x \ z)).
1 \ (x * (y * (T(y,x) * z))) = T((y * (x * y)) * z,a(y * (x * y),x,x \ z)).
x * (y * (T(y,x) * z)) = T((y * (x * y)) * z,a(y * (x * y),x,x \ z)).
x * (y * (T(y,x) * z)) = T(y * (x * (y * z)),a(y * (x * y),x,x \ z)).
x * (y * (T(y,x) * z)) = T(y * (x * (y * z)),1).
x * (y * (T(y,x) * z)) = y * (x * (y * z)).
x * L(T(K(y,z),x),y,z) = K(y,z) * x.
x * L(K(y,T(z,x)),y,z) = K(y,z) * x.
x * K(y,T(z,x)) = K(y,z) * x.
x * R(x,y,z) = R(x,y,z) * x.
R(x,y,z) * x = x * R(x,y,z).
((x / (y * (z * (y * x)))) * (((y * (z * y)) * u) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
((y \ (z \ (y \ 1))) * (((y * (z * y)) * u) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
((y \ (z \ (y \ 1))) * ((y * (z * (y * u))) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
(((y * z) * y) \ ((y * (z * (y * u))) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
((y * (z * y)) \ ((y * (z * (y * u))) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
(((z * y) \ y) * ((y \ (z * (y * u))) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
((y \ (z \ y)) * ((y \ (z * (y * u))) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
((y \ (z \ y)) * ((T(z,y) * u) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
(T(z,y) \ ((T(z,y) * u) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
(T(z,y) * ((T(z,y) \ u) * w)) \ (u * w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
a(T(z,y),T(z,y) * u,w) = a(x / (y * (z * (y * x))),((y * (z * (y * x))) / x) * u,w).
a(T(z,y),T(z,y) * u,w) = a(y \ (z \ (y \ 1)),((y * (z * (y * x))) / x) * u,w).
a(T(z,y),T(z,y) * u,w) = a(y \ (z \ (y \ 1)),(y * (z * y)) * u,w).
a(T(z,y),T(z,y) * u,w) = a(y \ (z \ (y \ 1)),y * (z * (y * u)),w).
a(x \ (y \ (x \ 1)),x * (y * (x * z)),u) = a(T(y,x),T(y,x) * z,u).
((x * y) * T(z,y)) / T(y,(y \ x) * (z * y)) = (y \ x) * (z * y).
((x * y) * T(z,y)) / T(y,x * ((z * y) * y)) = (y \ x) * (z * y).
((x * y) * T(z,y)) / T(y,x * (z * (y * y))) = (y \ x) * (z * y).
T((x * y) * T(z,y),y) = ((y \ x) * (z * y)) * y.
((x \ y) * (z * x)) * x = T((y * x) * T(z,x),x).
K((x * y) * T(z,y),y) = K((y \ x) * (z * y),y).
K((x * y) * T(z,y),y) = K(x * ((z * y) * y),y).
K((x * y) * T(z,y),y) = K(x * (z * (y * y)),y).
R(x \ 1,x * (x * y),z) = ((x * y) * z) / (x * (x * (y * z))).
L(x \ 1,x * (x * y),z) = ((x * y) * z) / (x * (x * (y * z))).
L(x \ 1,z,x * (x * y)) = ((x * y) * z) / (x * (x * (y * z))).
L(x \ 1,z,y) = ((x * y) * z) / (x * (x * (y * z))).
L(x \ 1,y,z) = ((x * y) * z) / (x * (x * (y * z))).
((x * y) * z) / (x * (x * (y * z))) = L(x \ 1,y,z).
R(x / (K(y,z) * 1),K(y,z) * (K(y,z) * K(z,y)),u) = (x * u) / (K(y,z) * (K(y,z) * (K(z,y) * u))).
R(x / K(y,z),K(y,z) * (K(y,z) * K(z,y)),u) = (x * u) / (K(y,z) * (K(y,z) * (K(z,y) * u))).
R(x * K(z,y),K(y,z) * (K(y,z) * K(z,y)),u) = (x * u) / (K(y,z) * (K(y,z) * (K(z,y) * u))).
R(x * K(z,y),K(y,z) * 1,u) = (x * u) / (K(y,z) * (K(y,z) * (K(z,y) * u))).
R(x * K(z,y),K(y,z),u) = (x * u) / (K(y,z) * (K(y,z) * (K(z,y) * u))).
R(x * K(y,z),K(z,y),u) = (x * u) / (K(z,y) * u).
x * (x * L(x \ 1,y,z)) = R(x,x * (x * y),z).
x * (x / L(x,y,z)) = R(x,x * (x * y),z).
x * (L(x,y,z) \ x) = R(x,x * (x * y),z).
T(x,y) / T(x,y) = K(L(x,z,u),T(x,y)).
1 = K(L(x,z,u),T(x,y)).
K(L(x,y,z),T(x,u)) = 1.
a(T(x,y) \ y,T(x,y),T(z,x * y)) = a(T(x,y),y * T(x,y),T(z,y * T(x,y))).
a(T(x \ y,y),T(x,y),T(z,x * y)) = a(T(x,y),y * T(x,y),T(z,y * T(x,y))).
a(T(x \ y,y),T(x,y),T(z,x * y)) = a(T(x,y),x * y,T(z,y * T(x,y))).
a(T(x \ y,y),T(x,y),T(z,x * y)) = a(T(x,y),x * y,T(z,x * y)).
T(x,y) * T(x \ z,y) = L(T(z,y),y,x).
((x * (y * z)) * (y * ((z * y) \ u))) / (y * u) = R(x,y * z,y * ((z * y) \ u)).
(x * (y / x)) / K(x,y) = (x * (y * (x \ y))) / (x * (y / x)).
(x * (y / x)) * K(y,x) = (x * (y * (x \ y))) / (x * (y / x)).
y = (x * (y * (x \ y))) / (x * (y / x)).
(x * (y * (x \ y))) / (x * (y / x)) = y.
a(((x * (y * (x \ y))) / (x * (y / x))) * (K(x,y) * (((x * (y * (x \ y))) / (x * (y / x))) * ((x * (y * (x \ y))) / (x * (y / x))))),z,u) = a(x * (y / x),((x * (y * (x \ y))) / (x * (y / x))) * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(y * (K(x,y) * (((x * (y * (x \ y))) / (x * (y / x))) * ((x * (y * (x \ y))) / (x * (y / x))))),z,u) = a(x * (y / x),((x * (y * (x \ y))) / (x * (y / x))) * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(y * (K(x,y) * (y * ((x * (y * (x \ y))) / (x * (y / x))))),z,u) = a(x * (y / x),((x * (y * (x \ y))) / (x * (y / x))) * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(y * (K(x,y) * (y * y)),z,u) = a(x * (y / x),((x * (y * (x \ y))) / (x * (y / x))) * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(y * (y * (K(x,y) * y)),z,u) = a(x * (y / x),((x * (y * (x \ y))) / (x * (y / x))) * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(y * (y * T(y,x \ y)),z,u) = a(x * (y / x),((x * (y * (x \ y))) / (x * (y / x))) * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(T(y,x \ y),z,u) = a(x * (y / x),((x * (y * (x \ y))) / (x * (y / x))) * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(T(y,x \ y),z,u) = a(x * (y / x),y * (((x * (y * (x \ y))) / (x * (y / x))) * z),u).
a(T(y,x \ y),z,u) = a(x * (y / x),y * (y * z),u).
a(x * (y / x),y * (y * z),u) = a(T(y,x \ y),z,u).
K(a(x,y \ z,T(y,z)),T(x * z,a(x,y \ z,T(y,z)))) = K((x * (y \ z)) * T(y,z),T(x * z,a(x,y \ z,T(y,z)))).
K(a(x,y \ z,T(y,z)),x * z) = K((x * (y \ z)) * T(y,z),T(x * z,a(x,y \ z,T(y,z)))).
K((x * (y \ z)) * T(y,z),T(x * z,a(x,y \ z,T(y,z)))) = K(a(x,y \ z,T(y,z)),x * z).
a(x,y,K(x,z)) = 1.
R(x,(y * x) * K(x,z),1) \ ((x * (y * x)) * K(x,z)) = ((y * x) * K(x,z)) * a(x,y * x,K(x,z)).
x \ ((x * (y * x)) * K(x,z)) = ((y * x) * K(x,z)) * a(x,y * x,K(x,z)).
x \ (x * (y * (x * K(x,z)))) = ((y * x) * K(x,z)) * a(x,y * x,K(x,z)).
x \ (x * (y * T(x,z))) = ((y * x) * K(x,z)) * a(x,y * x,K(x,z)).
y * T(x,z) = ((y * x) * K(x,z)) * a(x,y * x,K(x,z)).
y * T(x,z) = ((y * x) * K(x,z)) * 1.
y * T(x,z) = (y * x) * K(x,z).
(x * y) * K(y,z) = x * T(y,z).
(x * T(y,z)) / T(y,z) = R(x,y,K(y,z)).
x = R(x,y,K(y,z)).
R(x,y,K(y,z)) = x.
R(x,y,K(z,y)) = x.
R(x,T(y,z),K(z,y)) = x.
x / T(y,z) = (x * K(z,y)) / y.
(x * K(y,z)) / z = x / T(z,y).
a(x \ 1,y,z \ (x \ z)) = 1.
a(x,y,z \ (x \ z)) = 1.
a((x / (y * (z * (y * x)))) * (u * (x / (y * (z * (y * x))))),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a((y \ (z \ (y \ 1))) * (u * (x / (y * (z * (y * x))))),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a((y \ (z \ (y \ 1))) * (u * (y \ (z \ (y \ 1)))),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a(((y * z) * y) \ (u * (y \ (z \ (y \ 1)))),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a((y * (z * y)) \ (u * (y \ (z \ (y \ 1)))),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ (u * (y \ (z \ (y \ 1)))))),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ ((y \ (u / y)) * (z \ (y \ 1)))),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ ((z \ ((y \ (u / y)) / z)) * (y \ 1)),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ ((z \ ((y \ (u / y)) / z)) / y),y * (z * y),w) = a(x / (y * (z * (y * x))),u,w).
a(x \ ((y \ ((x \ (z / x)) / y)) / x),x * (y * x),u) = a(x \ (y \ (x \ 1)),z,u).
a(x / (y * (z * (y * x))),(y * (z * y)) * (((y * (z * (y * x))) / x) * u),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),(y * (z * y)) * (((y * (z * (y * x))) / x) * u),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),(y * (z * y)) * ((y * (z * y)) * u),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),(y * (z * y)) * (y * (z * (y * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),y * (((z * y) * y) * (z * (y * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),y * ((z * (y * y)) * (z * (y * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),y * (z * (((y * y) * z) * (y * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),y * (z * ((y * (y * z)) * (y * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),y * (z * (y * (((y * z) * y) * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),y * (z * (y * ((y * (z * y)) * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(y \ (z \ (y \ 1)),y * (z * (y * (y * (z * (y * u))))),w) = a(x / (y * (z * (y * x))),u,w).
a(T(z,y),T(z,y) * (y * (z * (y * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(T(z,y),z * (z * (y * (y * u))),w) = a(x / (y * (z * (y * x))),u,w).
a(T(z,y),y * (y * u),w) = a(x / (y * (z * (y * x))),u,w).
a(T(x,y),y * (y * z),u) = a(y \ (x \ (y \ 1)),z,u).
x \ (y \ 1) = x * (((T(z,x) * (x * u)) / y) / T(x * (z * (x * (x * u))),y \ 1)).
x * (((T(y,x) * (x * z)) / u) / T(x * (y * (x * (x * z))),u \ 1)) = x \ (u \ 1).
a(x * ((x * (((T(y,x) * (x * z)) / u) / T(x * (y * (x * (x * z))),u \ 1))) * (x * x)),w,v5) = a(u \ 1,x * (x * w),v5).
a(x * ((x \ (u \ 1)) * (x * x)),w,v5) = a(u \ 1,x * (x * w),v5).
a(x * T((u \ 1) * x,x),w,v5) = a(u \ 1,x * (x * w),v5).
a(x * T(u \ x,x),w,v5) = a(u \ 1,x * (x * w),v5).
a((u \ x) * x,w,v5) = a(u \ 1,x * (x * w),v5).
a((x \ y) * y,z,u) = a(x,y * (y * z),u).
L(x * (y \ z),y \ z,T(y,z)) = (x * z) / T(y,z).
L(x * (y \ z),T(y,z),y \ z) = (x * z) / T(y,z).
L(x * (y \ z),y,z) = (x * z) / T(y,z).
L(x * (y \ z),y \ z,y) = (x * T(z,y)) / y.
L(x * (y \ z),y,y \ z) = (x * T(z,y)) / y.
L(x * (y \ z),y,z) = (x * T(z,y)) / y.
(x * z) / T(y,z) = (x * T(z,y)) / y.
(x * T(y,z)) / z = (x * y) / T(z,y).
L(x * K(y,z),K(y,z),T(z,y)) = (x * z) / T(z,y).
x * K(y,z) = (x * z) / T(z,y).
(x * y) / T(y,z) = x * K(z,y).
(x * K(y,z)) * K(z,y) = R(x,K(y,z),y).
x = R(x,K(y,z),y).
R(x,K(y,z),y) = x.
K(L(x,y,z) * z,T(x * z,a(x,y \ z,T(y,z)))) = K(a(x,y \ z,T(y,z)),x * z).
T(T(((x \ y) * z) * y,x \ y),L(z,x,y) * y) = ((x \ y) * z) * y.
(L(x,y,z) * z) * (y \ z) = T(((y \ z) * x) * z,y \ z).
T(((x \ y) * z) * y,x \ y) = (L(z,x,y) * y) * (x \ y).
(x * y) * a(x,z \ y,T(z,y)) = L(x,z,y) * y.
(x * y) * a(x,z \ y,T(z,y)) = L(x,y,z) * y.
(x * y) * a(x,z \ y,T(z,y)) = L(x * y,y,z).
x * T(y,z) = (x * K(y,z)) * y.
(x * K(y,z)) * y = x * T(y,z).
(x \ y) * ((z / x) * (y * x)) = ((x \ y) * z) * T(y,x).
T((L(z,x,y) * y) * (x \ y),L(z,x,y) * y) = ((x \ y) * z) * y.
(x \ y) * (L(z,x,y) * y) = ((x \ y) * z) * y.
(T(x,y) \ (z \ (z \ u))) * (((u \ z) * z) * T(x,y)) = a(u,z * (z * K(x,y)),x).
1 = a(u,z * (z * K(x,y)),x).
a(x,y * (y * K(z,u)),z) = 1.
((T(x \ y,y) * T(x,y)) * z) / a(T(x \ y,y),T(x,y),z) = T(x,y) \ ((x * y) * z).
(T(x,y) * z) / a(T(y \ x,x),T(y,x),z) = T(y,x) \ ((y * x) * z).
(T(x \ y,y) * z) * T(T(x,y) * (T(x,y) * T(x \ y,y)),z) = T(x,y) \ ((x * y) * (T(x,y) * (T(x \ y,y) * z))).
(T(x \ y,y) * z) * T(T(x,y) * L(T(y,y),y,x),z) = T(x,y) \ ((x * y) * (T(x,y) * (T(x \ y,y) * z))).
(T(x \ y,y) * z) * T(T(x,y) * L(y,y,x),z) = T(x,y) \ ((x * y) * (T(x,y) * (T(x \ y,y) * z))).
(T(x \ y,y) * z) * T(T(x,y) * y,z) = T(x,y) \ ((x * y) * (T(x,y) * (T(x \ y,y) * z))).
(T(x \ y,y) * z) * T(T(x * y,y),z) = T(x,y) \ ((x * y) * (T(x,y) * (T(x \ y,y) * z))).
(T(x \ y,y) * z) * T(T(x * y,y),z) = T(x,y) \ ((x * y) * (y * L(z,x,y))).
T(x,y) \ ((x * y) * (y * L(z,x,y))) = (T(x \ y,y) * z) * T(T(x * y,y),z).
a(x \ y,T((y / x) \ x,x),T(y / x,x) * z) = a(y / x,x,z) \ 1.
a(x \ y,T((x / y) * x,x),T(y / x,x) * z) = a(y / x,x,z) \ 1.
a(x \ y,T(x * (y \ x),x),T(y / x,x) * z) = a(y / x,x,z) \ 1.
a(x \ y,(y \ x) * x,T(y / x,x) * z) = a(y / x,x,z) \ 1.
a(x \ y,(y \ x) * x,(x \ y) * z) = a(y / x,x,z) \ 1.
a(x \ y,(y \ x) * x,(x \ y) * z) = a(x,x * y,z) \ 1.
a(x \ y,(y \ x) * x,(x \ y) * z) = a(y,x,x \ z).
a(x \ y,z,T(x,y)) = a(x \ y,z / (x \ y),y) \ 1.
a(x \ y,z,T(x,y)) = a(x \ y,z * (y \ x),y) \ 1.
a(x \ y,z * (y \ x),y) \ 1 = a(x \ y,z,T(x,y)).
a(x \ 1,y * (z \ (z / x)),T(z,z / x)) = a(z \ (z / x),y,z / x) \ 1.
a(x \ 1,y * (x \ 1),T(z,z / x)) = a(z \ (z / x),y,z / x) \ 1.
a(x \ 1,y / x,T(z,z / x)) = a(z \ (z / x),y,z / x) \ 1.
a(x \ 1,y / x,T(z,x \ z)) = a(z \ (z / x),y,z / x) \ 1.
a(x,y / x,T(z,x \ z)) = a(z \ (z / x),y,z / x) \ 1.
a(x,y / x,T(z,x \ z)) = a(x \ 1,y,z / x) \ 1.
a(x,y / x,T(z,x \ z)) = a(x,y,z / x) \ 1.
((((x * y) \ x) * z) * x) \ ((x * y) \ x) = T(x * y,x) \ (y / z).
(((y \ 1) * z) * x) \ ((x * y) \ x) = T(x * y,x) \ (y / z).
((y \ z) * x) \ ((x * y) \ x) = T(x * y,x) \ (y / z).
((y \ z) * x) \ (y \ 1) = T(x * y,x) \ (y / z).
((y * z) * x) \ (y * 1) = T(x * y,x) \ (y / z).
((y * z) * x) \ y = T(x * y,x) \ (y / z).
((x * y) * z) \ x = (x * z) \ (x / y).
((((x / y) \ x) * z) * x) \ ((x / y) \ x) = T(x / y,x) \ ((y \ 1) / z).
((((y / x) * x) * z) * x) \ ((x / y) \ x) = T(x / y,x) \ ((y \ 1) / z).
((y * z) * x) \ ((x / y) \ x) = T(x / y,x) \ ((y \ 1) / z).
((y * z) * x) \ ((y / x) * x) = T(x / y,x) \ ((y \ 1) / z).
((y * z) * x) \ y = T(x / y,x) \ ((y \ 1) / z).
(y * x) \ (y / z) = T(x / y,x) \ ((y \ 1) / z).
(y * x) \ (y / z) = (y \ x) \ ((y \ 1) / z).
(y * x) \ (y / z) = (y \ x) \ (y \ (z \ 1)).
(y * x) \ (y / z) = (x \ y) * (y \ (z \ 1)).
(y * x) \ (y / z) = y * ((x * y) \ (z \ 1)).
x * ((y * x) \ (z \ 1)) = (x * y) \ (x / z).
a(x,K(y,z),y) = 1.
a((x \ y) * y,z,u) = a(x,z,u).
a(T(x,y),z,u) = a(y \ (x \ (y \ 1)),z,u).
a(x \ (y \ (x \ 1)),z,u) = a(T(y,x),z,u).
a(x * (y / x),z,u) = a(T(y,x \ y),z,u).
a(T(x,y \ x),z,u) = a(y * (x / y),z,u).
a(x * ((y \ x) * x),z,u) = a(x / y,z,u).
a(x * ((y \ x) * x),z,u) = a(x * y,z,u).
a(T(x,y),z,u) = a((y \ x) * (x * (y \ x)),z,u).
a((x \ y) * (y * (x \ y)),z,u) = a(T(y,x),z,u).
a(y \ ((x \ (z / x)) / y),x * (y * x),u) = a(x \ (y \ (x \ 1)),z,u).
a(x \ (z / x),x * (y * x),u) = a(x \ (y \ (x \ 1)),z,u).
a(z,x * (y * x),u) = a(x \ (y \ (x \ 1)),z,u).
a(x,y * (z * y),u) = a(T(z,y),x,u).
x * a(x * (y * z),y,z) = L(x,y,z).
L(x,y,a(y * (z * u),z,u)) = x.
a(x * y,x,z) = a(x,y \ x,z).
a(x,y * x,z) = a(x,y \ x,z).
a(x,y \ x,z) = a(x,y * x,z).
a(T(x,y),y * x,z) = a(x,x * y,z).
a(x \ y,(y \ x) * x,(x \ y) * z) = a(x,y,x \ z).
L(a(x,x * y,z),u,x * ((x \ y) * z)) * L(a(x,y,x \ z),u,y * z) = 1.
a(x,x * y,z) \ 1 = a(x,y,x \ z).
a(x,y * x,z) \ 1 = a(y,x,x * z).
L(x,y,a(z,y * (z * u),u)) = x.
x * a(y,x * (y * z),z) = L(x,y,z).
a(x,y * (z * y),u) = a(x,T(z,y),u).
a(z,x * (y * y),u) = a(x,z,u).
a(z,x,y * (y * u)) = a(x,z,u).
a(x,y,z * (z * u)) = a(x,y,u).
a(z,(x \ y) * (y * (x \ y)),u) = a(T(y,x),z,u).
a(z,T(y,x \ y),u) = a(T(y,x),z,u).
a(x,T(y,z \ y),u) = a(x,T(y,z),u).
a(z,x * ((y \ x) * x),u) = a(x * y,z,u).
a(z,T(y \ x,x),u) = a(x * y,z,u).
a(x,T(y \ z,z),u) = a(x,z * y,u).
a(z,T(x,y \ x),u) = a(y * (x / y),z,u).
a(z,T(x,y),u) = a(y * (x / y),z,u).
a(z,T(x,y),u) = a(z,y * (x / y),u).
a(x,y * (z / y),u) = a(x,T(z,y),u).
a(x,(y \ z) * z,u) = a(y,x,u).
a(x \ y,z * (y \ x),y) \ 1 = a(z,x \ y,T(x,y)).
(T(x,y) * z) / a(T(y,x),T(y \ x,x),z) = T(y,x) \ ((y * x) * z).
(T(x,y) * z) / a(T(y,x),x * y,z) = T(y,x) \ ((y * x) * z).
(T(x,y) * z) / a(y,y * x,z) = T(y,x) \ ((y * x) * z).
a(T(x,y),T(x \ y,y),T(z,x * y)) = a(T(x,y),x * y,T(z,x * y)).
a(T(x,y),y * x,T(z,x * y)) = a(T(x,y),x * y,T(z,x * y)).
a(x,x * y,T(z,x * y)) = a(T(x,y),x * y,T(z,x * y)).
a(T(x,y),x * y,T(z,x * y)) = a(x,x * y,T(z,x * y)).
(T(x,y) * z) / a(y,y \ x,z) = (y \ x) * (y * z).
(T(x,y) * z) / a(y,y * x,z) = (y \ x) * (y * z).
T(x,y) \ ((x * y) * z) = (x \ y) * (x * z).
a(x,T(y,x),z) = a(x,y,z).
a(T(x,y),y \ x,z) = a(x,y \ x,z).
a(T(x,y),y \ x,z) = a(x,y * x,z).
a(x,y * x,T(z,x \ z)) = a(x,y,z / x) \ 1.
a(x,x * y,(y * z) * u) = a(x,x * y,(y \ z) * u).
a(x,x * y,(y \ z) * u) = a(x,x * y,(y * z) * u).
a(y,x \ y,(x \ y) * z) = a(x,y,x \ z).
a(x,y * x,(y \ x) * z) = a(y,x,y \ z).
(x \ y) * (x * (y * L(z,x,y))) = (T(x \ y,y) * z) * T(T(x * y,y),z).
(x \ y) * ((x * y) * z) = (T(x \ y,y) * z) * T(T(x * y,y),z).
(T(x \ y,y) * z) * T(T(x * y,y),z) = (x \ y) * ((x * y) * z).
a(x,K(y,z),z \ 1) = 1.
x * (y \ ((y / x) * z)) = L(z,x,y).
L(x,y,y / z) = L(x,z,y).
L(x * (y \ z),x,y) = (x / y) * z.
(x * T(y,z)) / z = (x / z) * y.
(x / z) * y = (x * y) / T(z,y).
(x * y) / T(z,y) = (x / z) * y.
(x * y) * (((x * y) \ z) * (x * u)) = (z * (x * y)) * (x * ((y * x) \ u)).
(x * (y * z)) * (y * ((z * y) \ u)) = (y * z) * (((y * z) \ x) * (y * u)).
((y * z) * (((y * z) \ x) * (y * u))) / (y * u) = R(x,y * z,y * ((z * y) \ u)).
L(x,y * z,y * u) = R(x,y * z,y * ((z * y) \ u)).
R(x,y * z,y * ((z * y) \ u)) = L(x,y * z,y * u).
L(x,y * z,y * (y \ u)) = R(x,y \ z,(z \ y) * u).
L(x,y * z,u) = R(x,y \ z,(z \ y) * u).
L(x,u,y * z) = R(x,y \ z,(z \ y) * u).
R(x,y \ z,(z \ y) * u) = L(x,u,y * z).
L(T(x,y),z,y * x) = L(T(x,y),y,z).
K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) = 1.
T(a(x,x * y,z),u) = T(T(a(x,x * y,z),u),x * (x * ((y * z) / (x * ((x * y) * z))))).
T(T(a(x,x * y,z),u),x * (x * ((y * z) / (x * ((x * y) * z))))) = T(a(x,x * y,z),u).
(a(x,x * y,z) \ (T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) \ u)) * T(T(a(x,x * y,z),u),x * (x * ((y * z) / (x * ((x * y) * z))))) = T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) \ u.
(a(x,x * y,z) \ (a(x,x * y,z) \ u)) * T(T(a(x,x * y,z),u),x * (x * ((y * z) / (x * ((x * y) * z))))) = T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) \ u.
(a(x,x * y,z) \ (a(x,x * y,z) \ u)) * T(a(x,x * y,z),u) = T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) \ u.
(a(x,x * y,z) \ (a(x,x * y,z) \ a(x,x * y,z))) * u = T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) \ u.
(a(x,x * y,z) \ 1) * u = T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) \ u.
a(x,y,x \ z) * u = T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) \ u.
a(x,y,x \ z) * u = a(x,x * y,z) \ u.
a(x,x * y,z) \ u = a(x,y,x \ z) * u.
(a(x,x * y,z) * (u * a(x,x * y,z))) \ (a(x,x * y,z) * (T(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u)) = K(a(x,x * y,z),K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u).
(a(x,x * y,z) * (u * a(x,x * y,z))) \ (a(x,x * y,z) * (a(x,x * y,z) * u)) = K(a(x,x * y,z),K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u).
(((a(x,x * y,z) * (u * a(x,x * y,z))) \ a(x,x * y,z)) * a(x,x * y,z)) * u = K(a(x,x * y,z),K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u).
(((u * a(x,x * y,z)) \ 1) * a(x,x * y,z)) * u = K(a(x,x * y,z),K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u).
((a(x,x * y,z) \ (u \ 1)) * a(x,x * y,z)) * u = K(a(x,x * y,z),K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u).
((a(x,y,x \ z) * (u \ 1)) * a(x,x * y,z)) * u = K(a(x,x * y,z),K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u).
((a(x,y,x \ z) / u) * a(x,x * y,z)) * u = K(a(x,x * y,z),K(a(x,x * y,z),x * (x * ((y * z) / (x * ((x * y) * z))))) * u).
((a(x,y,x \ z) / u) * a(x,x * y,z)) * u = K(a(x,x * y,z),1 * u).
((a(x,y,x \ z) / u) * a(x,x * y,z)) * u = K(a(x,x * y,z),u).
(((K(x,y) * z) * K(y,x)) * K(x,y)) * ((1 \ ((K(x,y) * z) \ K(y,x))) / K(y,x)) = 1.
(T(z,K(y,x)) * K(x,y)) * ((1 \ ((K(x,y) * z) \ K(y,x))) / K(y,x)) = 1.
(T(z,K(y,x)) * K(x,y)) * (((K(x,y) * z) \ K(y,x)) / K(y,x)) = 1.
(T(z,K(y,x)) * K(x,y)) * (((K(x,y) * z) \ K(y,x)) * K(x,y)) = 1.
(T(z,K(y,x)) * K(x,y)) * ((K(x,y) * z) \ 1) = 1.
(T(z,K(y,x)) * K(x,y)) * (z \ (K(x,y) \ 1)) = 1.
(T(z,K(y,x)) * K(x,y)) * (z \ (K(y,x) * 1)) = 1.
(T(x,K(y,z)) * K(z,y)) * (x \ K(y,z)) = 1.
T(x,(R(x,y,z) \ 1) \ x) = x.
T(x,(1 \ R(x,y,z)) * x) = x.
T(x,R(x,y,z) * x) = x.
T(x,x * R(x,y,z)) = x.
T(x,R(x,y,z)) = x.
R(x,y,z) \ x = T(R(x,y,z) \ x,R(x,y,z)).
R(x,y,z) \ x = T(R(x,y,z) \ x,x).
T(R(x,y,z) \ x,x) = R(x,y,z) \ x.
((x * R(y,z,u)) * y) / (y * R(y,z,u)) = R(x,R(y,z,u),T(y,R(y,z,u))).
((x * R(y,z,u)) * y) / (y * R(y,z,u)) = R(x,R(y,z,u),y).
(R(x,y,z) \ x) * (R(x,y,z) * u) = L(x * u,x,R(x,y,z)).
1 / (x \ K(y,z)) = T(x,K(y,z)) * K(z,y).
1 * (K(y,z) \ x) = T(x,K(y,z)) * K(z,y).
1 * (K(z,y) * x) = T(x,K(y,z)) * K(z,y).
K(z,y) * x = T(x,K(y,z)) * K(z,y).
T(x,K(y,z)) * K(z,y) = K(z,y) * x.
(1 * x) / ((y \ K(z,u)) * x) = R(T(y,K(z,u)) * K(u,z),y \ K(z,u),x).
x / ((y \ K(z,u)) * x) = R(T(y,K(z,u)) * K(u,z),y \ K(z,u),x).
(y \ K(z,u)) \ 1 = R(T(y,K(z,u)) * K(u,z),y \ K(z,u),x).
(K(z,u) \ y) * 1 = R(T(y,K(z,u)) * K(u,z),y \ K(z,u),x).
(K(u,z) * y) * 1 = R(T(y,K(z,u)) * K(u,z),y \ K(z,u),x).
K(u,z) * y = R(T(y,K(z,u)) * K(u,z),y \ K(z,u),x).
K(u,z) * y = R(K(u,z) * y,y \ K(z,u),x).
R(K(x,y) * z,z \ K(y,x),u) = K(x,y) * z.
((x * (T(y,K(z,u)) * K(u,z))) * (y \ K(z,u))) / 1 = R(x,T(y,K(z,u)) * K(u,z),y \ K(z,u)).
((x * (K(u,z) * y)) * (y \ K(z,u))) / 1 = R(x,T(y,K(z,u)) * K(u,z),y \ K(z,u)).
L(x,K(u,z) * y,y \ K(z,u)) / 1 = R(x,T(y,K(z,u)) * K(u,z),y \ K(z,u)).
L(x,K(u,z) * y,y \ K(z,u)) = R(x,T(y,K(z,u)) * K(u,z),y \ K(z,u)).
L(x,K(u,z) * y,y \ K(z,u)) = R(x,K(u,z) * y,y \ K(z,u)).
R(x,K(y,z) * u,u \ K(z,y)) = L(x,K(y,z) * u,u \ K(z,y)).
(T(x,K(y,z)) * K(z,y)) * (((T(x,K(y,z)) * K(z,y)) \ u) * 1) = (u * (T(x,K(y,z)) * K(z,y))) * (x \ K(y,z)).
(K(z,y) * x) * (((T(x,K(y,z)) * K(z,y)) \ u) * 1) = (u * (T(x,K(y,z)) * K(z,y))) * (x \ K(y,z)).
(K(z,y) * x) * (((K(z,y) * x) \ u) * 1) = (u * (T(x,K(y,z)) * K(z,y))) * (x \ K(y,z)).
(K(z,y) * x) * ((K(z,y) * x) \ u) = (u * (T(x,K(y,z)) * K(z,y))) * (x \ K(y,z)).
u = (u * (T(x,K(y,z)) * K(z,y))) * (x \ K(y,z)).
u = (u * (K(z,y) * x)) * (x \ K(y,z)).
u = L(u,K(z,y) * x,x \ K(y,z)).
L(x,K(y,z) * u,u \ K(z,y)) = x.
R(x / (T(y,K(z,u)) * K(u,z)),T(y,K(z,u)) * K(u,z),y \ K(z,u)) = (x * (y \ K(z,u))) / 1.
R(x / (K(u,z) * y),T(y,K(z,u)) * K(u,z),y \ K(z,u)) = (x * (y \ K(z,u))) / 1.
R(x / (K(u,z) * y),K(u,z) * y,y \ K(z,u)) = (x * (y \ K(z,u))) / 1.
L(x / (K(u,z) * y),K(u,z) * y,y \ K(z,u)) = (x * (y \ K(z,u))) / 1.
x / (K(u,z) * y) = (x * (y \ K(z,u))) / 1.
x / (K(y,z) * u) = x * (u \ K(z,y)).
R(T(x,K(y,z)) * K(z,y),x \ K(y,z),u) \ (1 * u) = (x \ K(y,z)) * u.
R(K(z,y) * x,x \ K(y,z),u) \ (1 * u) = (x \ K(y,z)) * u.
(K(z,y) * x) \ (1 * u) = (x \ K(y,z)) * u.
(K(x,y) * z) \ u = (z \ K(y,x)) * u.
1 * ((x \ K(y,z)) \ u) = (x \ K(y,z)) * (((x \ K(y,z)) \ (T(x,K(y,z)) * K(z,y))) * u).
1 * ((K(y,z) \ x) * u) = (x \ K(y,z)) * (((x \ K(y,z)) \ (T(x,K(y,z)) * K(z,y))) * u).
1 * ((K(z,y) * x) * u) = (x \ K(y,z)) * (((x \ K(y,z)) \ (T(x,K(y,z)) * K(z,y))) * u).
(K(z,y) * x) * u = (x \ K(y,z)) * (((x \ K(y,z)) \ (T(x,K(y,z)) * K(z,y))) * u).
(K(z,y) * x) * u = (x \ K(y,z)) * (((x \ K(y,z)) \ (K(z,y) * x)) * u).
(K(z,y) * x) * u = (x \ K(y,z)) * (((K(y,z) \ x) * (K(z,y) * x)) * u).
(K(z,y) * x) * u = (x \ K(y,z)) * (((K(z,y) * x) * (K(z,y) * x)) * u).
(K(z,y) * x) * u = (x \ K(y,z)) * ((K(z,y) * ((x * K(z,y)) * x)) * u).
(K(z,y) * x) * u = (x \ K(y,z)) * ((K(z,y) * (x * (K(z,y) * x))) * u).
(K(z,y) * x) * u = (x \ K(y,z)) * (K(z,y) * (x * (K(z,y) * (x * u)))).
(x \ K(y,z)) * (K(z,y) * (x * (K(z,y) * (x * u)))) = (K(z,y) * x) * u.
R(x * K(y,z),K(z,y),u) = (x * u) * (u \ K(y,z)).
R(x * K(y,z),K(z,y),u) = u * ((u \ x) * K(y,z)).
((x \ K(y,z)) * u) * K(z,T(y,u)) = x \ u.
x \ (y \ (T(y \ 1,z) \ 1)) = (y * x) \ (T(y \ 1,z) \ 1).
x \ (y \ T((y \ 1) \ 1,z)) = (y * x) \ (T(y \ 1,z) \ 1).
x \ (y \ T((1 \ y) * 1,z)) = (y * x) \ (T(y \ 1,z) \ 1).
x \ (y \ T(y * 1,z)) = (y * x) \ (T(y \ 1,z) \ 1).
x \ (y \ T(y,z)) = (y * x) \ (T(y \ 1,z) \ 1).
x \ K(y,z) = (y * x) \ (T(y \ 1,z) \ 1).
x \ K(y,z) = (y * x) \ T((y \ 1) \ 1,z).
x \ K(y,z) = (y * x) \ T((1 \ y) * 1,z).
x \ K(y,z) = (y * x) \ T(y * 1,z).
x \ K(y,z) = (y * x) \ T(y,z).
(x * y) \ T(x,z) = y \ K(x,z).
(x * (y * (y \ z))) * a(x,y \ z,T(y,z)) = (x * (y \ z)) * T(y,y \ z).
(x * z) * a(x,y \ z,T(y,z)) = (x * (y \ z)) * T(y,y \ z).
L(x * z,z,y) = (x * (y \ z)) * T(y,y \ z).
L(x * z,y,z) = (x * (y \ z)) * T(y,y \ z).
L(x * z,y,z) = (x * (y \ z)) * T(y,z).
L(x * z,y,z) = L(x,y,z) * z.
L(x,y,z) * z = L(x * z,y,z).
(x \ y) * L(z * y,x,y) = ((x \ y) * z) * y.
x \ (y * (z * y)) = ((x \ y) * z) * y.
K(L(x * z,y,z),T(x * z,a(x,y \ z,T(y,z)))) = K(a(x,y \ z,T(y,z)),x * z).
1 = K(a(x,y \ z,T(y,z)),x * z).
K(a(x,y \ z,T(y,z)),x * z) = 1.
L(x \ y,x,y * z) = ((((y * z) * x) \ y) * z) * y.
L(x \ y,x,y * z) = (((y * x) \ (y / z)) * z) * y.
T(x,y) * T(z * y,y) = T((x * y) * T(z,y),y).
x * (T(y,x) * T(z,x)) = T((x * y) * z,x).
y * (x * T(z,x)) = T((x * y) * z,x).
y * (z * x) = T((x * y) * z,x).
T((x * y) * z,x) = y * (z * x).
x * (T(y,z) \ K(T(y,z) \ (x / T(y,z)),K(T(y,z) \ ((y \ z) * (x / T(y,z))),T(y \ z,z)))) = T(y,z) * (T(y,z) \ (x / T(y,z))).
x * (T(y,z) \ 1) = T(y,z) * (T(y,z) \ (x / T(y,z))).
x * T(y \ 1,z) = T(y,z) * (T(y,z) \ (x / T(y,z))).
x * T(y \ 1,z) = x / T(y,z).
x / (y * (z * x)) = (x * z) \ (x / y).
((x * y) \ (x / z)) * z = L(y \ 1,x,z).
L(x \ y,x,y * z) = L(x \ 1,y,z) * y.
L(x \ y,x,y * z) = L((x \ 1) * y,y,z).
L(x \ y,x,y * z) = L(x \ y,y,z).
L(x * K(y,z),K(z,y),u) = u * ((u \ x) * K(y,z)).
L(x * K(y,z),u,K(z,y)) = u * ((u \ x) * K(y,z)).
(L(x,y,z) \ x) * (R(x,y,z) * u) = L(x * u,x,R(x,y,z)).
(L(x,y,z) \ x) * (L(x,y,z) * u) = L(x * u,x,R(x,y,z)).
(L(x,y,z) \ x) * (L(x,y,z) * u) = L(x * u,x,L(x,y,z)).
((x * L(y,z,u)) * y) / (y * R(y,z,u)) = R(x,R(y,z,u),y).
(x * (y * L(y,z,u))) / (y * R(y,z,u)) = R(x,R(y,z,u),y).
(x * (y * L(y,z,u))) / (y * L(y,z,u)) = R(x,R(y,z,u),y).
x = R(x,R(y,z,u),y).
x = R(x,L(y,z,u),y).
x = L(x,L(y,z,u),y).
x = L(x,y,L(y,z,u)).
L(x,y,L(y,z,u)) = x.
L(x,y \ z,(z \ y) * u) = L(x,u,y * z).
L(x,y,z \ u) = L(x,y,z * u).
x * (L(x,y,z) \ x) = L(x,x * (x * y),z).
x * (L(x,y,z) \ x) = L(x,z,x * (x * y)).
x * (L(x,y,z) \ x) = L(x,x * y,z).
x * (L(x,y,z) \ x) = L(x,z,x * y).
x * (L(x,y,z) \ x) = L(x,y,z).
(L(x,y,z) \ x) * (L(x,y,z) * u) = x * u.
(x * (y \ L(y,z,y * (x / y)))) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
(x * (y \ L(y,x / y,z))) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
(x * (y \ L(y,z,x / y))) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
(x * (y \ L(y,x,z))) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
L(T(x,y),z,y * x) = z * ((z \ (y \ x)) * y).
L(T(x,y),y,z) = z * ((z \ (y \ x)) * y).
x * ((x \ (y \ z)) * y) = L(T(z,y),y,x).
L(x,y,z * (u \ 1)) = L(x,y,u * z).
L(x,y,z / u) = L(x,y,u * z).
L(x \ y,x,y * z) = ((y \ z) * x) \ T(z,y).
L(x \ y,y,z) = ((y \ z) * x) \ T(z,y).
((x \ y) * z) \ T(y,x) = L(z \ x,x,y).
x * K(y,z) = u * ((u \ x) * K(y,z)).
x * ((x \ y) * K(z,u)) = y * K(z,u).
(((x * (y * z)) * y) \ (y * ((z * y) * x))) * K(L(x,y,z),y * (z * y)) = 1.
(x \ (((y * (x * z)) \ x) * ((z * x) * y))) * K(L(y,x,z),x * (z * x)) = 1.
a(x \ y,(y \ x) * z,T(y,x)) = a(y,x * z,x).
a(x,y,x \ z) * T(a(x,x * y,z),u) = K(a(x,x * y,z),u).
x \ (y \ (K(z,u) \ 1)) = (y * x) \ (K(z,u) \ 1).
x \ (y \ (K(u,z) * 1)) = (y * x) \ (K(z,u) \ 1).
x \ (y \ K(u,z)) = (y * x) \ (K(z,u) \ 1).
x \ (y \ K(u,z)) = (y * x) \ (K(u,z) * 1).
x \ (y \ K(u,z)) = (y * x) \ K(u,z).
(x * y) \ K(z,u) = y \ (x \ K(z,u)).
(T(x \ y,y) * T(x * y,y)) * z = (x \ y) * ((x * y) * z).
T(((x \ y) * y) * T(x,y),y) * z = (x \ y) * ((x * y) * z).
T(((x \ y) * x) * y,y) * z = (x \ y) * ((x * y) * z).
T(T(y,x) * y,y) * z = (x \ y) * ((x * y) * z).
T(y * T(y,x),y) * z = (x \ y) * ((x * y) * z).
(T(y,x) * y) * z = (x \ y) * ((x * y) * z).
(y * T(y,x)) * z = (x \ y) * ((x * y) * z).
y * (T(y,x) * z) = (x \ y) * ((x * y) * z).
(x \ y) * ((x * y) * z) = y * (T(y,x) * z).
K((x * z) * y,y) = K(x * (z * (y * y)),y).
K(x * z,y) = K(x * (z * (y * y)),y).
K(x * (y * (z * z)),z) = K(x * y,z).
((x * z) * y) / T(y,x * (z * (y * y))) = (y \ x) * (z * y).
(x * z) * K(x * (z * (y * y)),y) = (y \ x) * (z * y).
(x * z) * K(x * z,y) = (y \ x) * (z * y).
T(x * z,y) = (y \ x) * (z * y).
(x \ y) * (z * x) = T(y * z,x).
a(T(x,y),z,x * y) = a(x,x * y,T(z,x * y)).
a(z,T(x,y),x * y) = a(x,x * y,T(z,x * y)).
a(x,T(y,z),y * z) = a(y,x,y * z).
a(x,y,z * x) * (L(x,z,y) * u) = x * u.
x * a(x,y,z * x) = L(x,z,y).
L(L(x,y,T(z,u)),z,y * T(z,u)) = L(x,z * (y * z),K(z,u)).
L(x,K(z,u),z * (y * z)) = L(x,z * (y * z),K(z,u)).
L(x,K(y,z),y * (u * y)) = x.
L(L(x,K(y,z),y * (u * y)),y,u * T(y,z)) = L(x,u,T(y,z)).
L(x,y,z * T(y,u)) = L(x,z,T(y,u)).
L(L(x,T(y / z,u),T(z,w)),z,T(y / z,u) * T(z,w)) = L(x,K(z,w),z * (z * T(z \ y,u))).
L(L(x,T(y / z,u),T(z,w)),T(y / z,u),T(z,w)) = L(x,K(z,w),z * (z * T(z \ y,u))).
x = L(x,K(z,w),z * (z * T(z \ y,u))).
x = L(x,K(z,w),T(z \ y,u)).
L(x,K(y,z),T(y \ u,w)) = x.
a(x,y,(z * x) \ T(z,x)) = 1.
a(x,y,x \ K(z,x)) = 1.
x \ ((y * (z * ((y * z) \ x))) * (a(y,z,(y * z) \ x) * u)) = L(u,a(y,z,(y * z) \ x),y * (z * ((y * z) \ x))).
x \ (L(x,y,z) * (a(y,z,(y * z) \ x) * u)) = L(u,a(y,z,(y * z) \ x),y * (z * ((y * z) \ x))).
x \ (L(x,y,z) * (a(y,z,(y * z) \ x) * u)) = L(u,a(y,z,(y * z) \ x),L(x,y,z)).
x \ (L(x,y,z) * (a(y,z,(y * z) \ x) * u)) = L(u,L(x,y,z),a(y,z,(y * z) \ x)).
1 \ ((x * K(y,z)) * (z \ 1)) = T(x * (K(y,z) * (z \ 1)),a(x,K(y,z),z \ 1)).
1 \ ((x * K(y,z)) / z) = T(x * (K(y,z) * (z \ 1)),a(x,K(y,z),z \ 1)).
1 \ (x / T(z,y)) = T(x * (K(y,z) * (z \ 1)),a(x,K(y,z),z \ 1)).
x / T(z,y) = T(x * (K(y,z) * (z \ 1)),a(x,K(y,z),z \ 1)).
x / T(z,y) = T(x * (K(y,z) / z),a(x,K(y,z),z \ 1)).
x / T(z,y) = T(x * (z \ K(y,z)),a(x,K(y,z),z \ 1)).
x / T(z,y) = T(x * (z \ K(y,z)),1).
x / T(z,y) = x * (z \ K(y,z)).
x * (y \ K(z,y)) = x / T(y,z).
(K(x,y) * z) \ u = z \ (K(x,y) \ u).
(z \ K(y,x)) * u = z \ (K(x,y) \ u).
(z \ K(y,x)) * u = z \ (K(y,x) * u).
x \ (K(y,z) * u) = (x \ K(y,z)) * u.
a(x,y,z * x) \ (x * a(x,y,z * x)) = x.
a(x,y,z * x) \ L(x,z,y) = x.
a(x,y,z * x) \ L(x,y,z) = x.
T(x,a(x,y,T(z,x))) = x.
T(x,a(z,y,x)) = x.
T(x,a(y,z,x)) = x.
1 / L(a(x,y,x \ z),u,y * z) = L(a(x,x * y,z),u,x * ((x \ y) * z)).
L(a(x,y,x \ z),u,y * z) \ 1 = L(a(x,x * y,z),u,x * ((x \ y) * z)).
L(a(x,y,x \ z) \ 1,u,y * z) = L(a(x,x * y,z),u,x * ((x \ y) * z)).
L(a(x,y * x,z),u,y * z) = L(a(x,x * y,z),u,x * ((x \ y) * z)).
L(a(x,x * y,z),u,x * ((x \ y) * z)) = L(a(x,y * x,z),u,y * z).
L(a(x,x * y,z),y * z,x * ((x \ y) * z)) * a(x,y,x \ z) = 1.
L(a(x,y * x,z),y * z,y * z) * a(x,y,x \ z) = 1.
a(x,y * x,z) * a(x,y,x \ z) = 1.
x / a(y,z,x) = a(y,z,x) \ x.
1 \ ((x * y) * (x \ K(z,x))) = T(x * (y * (x \ K(z,x))),a(x,y,x \ K(z,x))).
1 \ ((x * y) / T(x,z)) = T(x * (y * (x \ K(z,x))),a(x,y,x \ K(z,x))).
(x * y) / T(x,z) = T(x * (y * (x \ K(z,x))),a(x,y,x \ K(z,x))).
(x * y) / T(x,z) = T(x * (y / T(x,z)),a(x,y,x \ K(z,x))).
(x * y) / T(x,z) = T(x * (y / T(x,z)),1).
(x * y) / T(x,z) = x * (y / T(x,z)).
((x \ y) * ((z * (x \ y)) * x)) / T((x \ y) * z,T(y,x)) = (x \ y) * x.
((x \ y) * ((z / x) * (y * x))) / T((x \ y) * z,T(y,x)) = (x \ y) * x.
(((x \ y) * z) * T(y,x)) / T((x \ y) * z,T(y,x)) = (x \ y) * x.
((x \ y) * z) * (T(y,x) / T((x \ y) * z,T(y,x))) = (x \ y) * x.
((x \ y) * z) * (((x \ y) * z) \ T(y,x)) = (x \ y) * x.
((x \ y) * z) * L(z \ x,x,y) = (x \ y) * x.
((x \ y) * z) * L(z \ x,x,y) = T(y,x).
T((x / y) * T(z,x / y),y) = (y \ x) * (y \ (((x / y) \ z) * x)).
T(z * (x / y),y) = (y \ x) * (y \ (((x / y) \ z) * x)).
T(z * (x / y),y) = (y \ x) * (y \ (((y / x) * z) * x)).
T(z * (x / y),y) = (y \ x) * (y \ (y * T(z,x))).
T(z * (x / y),y) = (y \ x) * T(z,x).
T(x * (y / z),z) = (z \ x) * y.
(x \ L(x,y,z)) * u = x \ (L(x,y,z) * u).
x \ (L(x,y,z) * u) = (x \ L(x,y,z)) * u.
(x \ L(x,y,z)) * (a(y,z,(y * z) \ x) * u) = L(u,L(x,y,z),a(y,z,(y * z) \ x)).
a(x \ y,z,x) = a(z / (x \ y),x \ y,T(y,x)) \ 1.
a(z,x \ y,x) = a(z / (x \ y),x \ y,T(y,x)) \ 1.
a(z,x \ y,x) = a(z * (y \ x),x \ y,T(y,x)) \ 1.
a(z,x \ y,x) = a(x \ y,z * (y \ x),T(y,x)) \ 1.
a(x \ y,z * (y \ x),T(y,x)) \ 1 = a(z,x \ y,x).
a(x \ y,T(z,x \ y),x) = a((x \ y) \ z,x \ y,T(y,x)) \ 1.
a(x \ y,z,x) = a((x \ y) \ z,x \ y,T(y,x)) \ 1.
a(z,x \ y,x) = a((x \ y) \ z,x \ y,T(y,x)) \ 1.
a(z,x \ y,x) = a((y \ x) * z,x \ y,T(y,x)) \ 1.
a(z,x \ y,x) = a(x \ y,(y \ x) * z,T(y,x)) \ 1.
a(z,x \ y,x) = a(y,x * z,x) \ 1.
a(x,y * z,y) \ 1 = a(z,y \ x,y).
a((x \ 1) \ T(y,x),z * ((x \ 1) \ T(y,x)),x \ 1) = a(z,(x \ 1) \ T(y,x),y) \ 1.
a((1 \ x) * T(y,x),z * ((x \ 1) \ T(y,x)),x \ 1) = a(z,(x \ 1) \ T(y,x),y) \ 1.
a(x * T(y,x),z * ((x \ 1) \ T(y,x)),x \ 1) = a(z,(x \ 1) \ T(y,x),y) \ 1.
a(y * x,z * ((x \ 1) \ T(y,x)),x \ 1) = a(z,(x \ 1) \ T(y,x),y) \ 1.
a(y * x,z * ((1 \ x) * T(y,x)),x \ 1) = a(z,(x \ 1) \ T(y,x),y) \ 1.
a(y * x,z * (x * T(y,x)),x \ 1) = a(z,(x \ 1) \ T(y,x),y) \ 1.
a(y * x,z * (y * x),x \ 1) = a(z,(x \ 1) \ T(y,x),y) \ 1.
a(y * x,z * (y * x),x \ 1) = a(z,(1 \ x) * T(y,x),y) \ 1.
a(y * x,z * (y * x),x \ 1) = a(z,x * T(y,x),y) \ 1.
a(y * x,z * (y * x),x \ 1) = a(z,y * x,y) \ 1.
a(x * y,z * (x * y),y \ 1) = a(y,x \ z,x).
a(T(x,y) \ y,z * (T(x,y) \ y),T(x,y)) = a(z,T(x,y) \ y,T(y,x)) \ 1.
a(T(x \ y,y),z * (T(x,y) \ y),T(x,y)) = a(z,T(x,y) \ y,T(y,x)) \ 1.
a(T(x \ y,y),z * T(x \ y,y),T(x,y)) = a(z,T(x,y) \ y,T(y,x)) \ 1.
a(T(x \ y,y),z * T(x \ y,y),T(x,y)) = a(z,T(x \ y,y),T(y,x)) \ 1.
a(T(x \ y,y),z * T(x \ y,y),T(x,y)) = a(z,y * x,T(y,x)) \ 1.
a(x \ y,x * ((x \ z) * y),x) = a(z * x,x \ y,T(y,x)) \ 1.
T(x * (T(T(y,z),x) * u),x) = (T(T(y,x),z) * u) * x.
T(T(y,z) * (x * u),x) = (T(T(y,x),z) * u) * x.
(T(T(x,y),z) * u) * y = T(T(x,z) * (y * u),y).
(T(x,y) * z) * y = (T(T(x,y),(T(T(T(T(T(u,w),x \ 1),v5),v6),v7) / x) / T(T(T(T(T(u,v6),v5),x \ 1),w),v7)) * z) * y.
(T(x,y) * z) * y = T(T(x,(T(T(T(T(T(u,w),x \ 1),v5),v6),v7) / x) / T(T(T(T(T(u,v6),v5),x \ 1),w),v7)) * (y * z),y).
(T(x,y) * z) * y = T(x * (y * z),y).
a(x,y * x,z) \ 1 = a(x,y,x \ z).
a(y,x,x * z) = a(x,y,x \ z).
a(x,y,x * z) = a(x,y,x \ z).
a(x,y,x \ z) = a(x,y,x * z).
T(a(x,y,x \ z),a(x,y * x,z) / 1) = a(x,y,x \ z).
T(a(x,y,x * z),a(x,y * x,z) / 1) = a(x,y,x \ z).
T(a(x,y,x * z),a(x,y * x,z)) = a(x,y,x \ z).
T(a(x,y,x * z),a(x,y * x,z)) = a(x,y,x * z).
(1 * x) / a(a(y,z * y,u),a(y,z,y \ u),x) = a(y,z * y,u) * (a(y,z,y \ u) * x).
x / a(a(y,z * y,u),a(y,z,y \ u),x) = a(y,z * y,u) * (a(y,z,y \ u) * x).
x / a(a(y,z * y,u),a(y,z,y * u),x) = a(y,z * y,u) * (a(y,z,y \ u) * x).
x / a(a(y,z,y * u),a(y,z * y,u),x) = a(y,z * y,u) * (a(y,z,y \ u) * x).
a(a(y,z,y * u),a(y,z * y,u),x) \ x = a(y,z * y,u) * (a(y,z,y \ u) * x).
a(a(x,y,x * z),a(x,y * x,z),u) \ u = a(x,y * x,z) * (a(x,y,x * z) * u).
((a(x,y,x \ z) * u) \ 1) * ((a(x,y * x,z) \ a(x,y,x \ z)) * u) = T(a(x,y,x \ z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
((a(x,y,x * z) * u) \ 1) * ((a(x,y * x,z) \ a(x,y,x \ z)) * u) = T(a(x,y,x \ z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
(u \ (a(x,y,x * z) \ 1)) * ((a(x,y * x,z) \ a(x,y,x \ z)) * u) = T(a(x,y,x \ z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
(u \ a(x,y * x,z)) * ((a(x,y * x,z) \ a(x,y,x \ z)) * u) = T(a(x,y,x \ z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
(u \ a(x,y * x,z)) * ((a(x,y * x,z) \ a(x,y,x * z)) * u) = T(a(x,y,x \ z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
T(a(x,y * x,z) * (a(x,y * x,z) \ a(x,y,x * z)),u) = T(a(x,y,x \ z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
T(a(x,y,x * z),u) = T(a(x,y,x \ z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
T(a(x,y,x * z),u) = T(a(x,y,x * z),(a(x,y * x,z) \ a(x,y,x \ z)) * u).
T(a(x,y,x * z),u) = T(a(x,y,x * z),(a(x,y * x,z) \ a(x,y,x * z)) * u).
T(a(x,y,x * z),(a(x,y * x,z) \ a(x,y,x * z)) * u) = T(a(x,y,x * z),u).
L(x,a(y,z * y,u),a(y,z,y \ u) * 1) = x.
L(x,a(y,z * y,u),a(y,z,y * u) * 1) = x.
L(x,a(y,z * y,u),a(y,z,y * u)) = x.
L(x,a(y,z,y * u),a(y,z * y,u)) = x.
L(x * a(y,z * y,u),a(y,z * y,u),a(y,z,y \ u)) = (x * 1) / a(y,z,y \ u).
L(x * a(y,z * y,u),a(y,z * y,u),a(y,z,y * u)) = (x * 1) / a(y,z,y \ u).
L(x * a(y,z * y,u),a(y,z,y * u),a(y,z * y,u)) = (x * 1) / a(y,z,y \ u).
x * a(y,z * y,u) = (x * 1) / a(y,z,y \ u).
x * a(y,z * y,u) = x / a(y,z,y \ u).
x * a(y,z * y,u) = x / a(y,z,y * u).
x / a(y,z,y * u) = x * a(y,z * y,u).
a(x,y,x * z) * T(a(x,x * y,z),u) = K(a(x,x * y,z),u).
a(x,y * x,(y \ x) * z) = a(x,y,y \ z).
a(x,y * x,(y \ x) * z) = a(x,y,y * z).
x \ ((x * (T(x,y) * z)) * u) = T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u))).
x * ((x \ (T(x,y) * z)) * u) = T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u))).
x * ((K(x,y) * z) * u) = T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u))).
T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u))) = x * ((K(x,y) * z) * u).
T((x * (T(x,y) * z)) * u,x) = (T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u)))) * x.
(T(x,y) * z) * (u * x) = (T(x,y) * ((z / (x * T(x,y))) * (x * (T(x,y) * u)))) * x.
(T(x,y) * z) * (u * x) = (x * ((K(x,y) * z) * u)) * x.
(T(x,y) * z) * (u * x) = x * (((K(x,y) * z) * u) * x).
x * (((K(x,y) * z) * u) * x) = (T(x,y) * z) * (u * x).
((a(x,y * x,z) \ a(x,y,x * z)) * u) / T(a(x,y,x * z),u) = a(x,y,x * z) \ ((a(x,y * x,z) \ a(x,y,x * z)) * u).
((a(x,y * x,z) \ a(x,y,x * z)) / a(x,y,x * z)) * u = a(x,y,x * z) \ ((a(x,y * x,z) \ a(x,y,x * z)) * u).
((a(x,y * x,z) \ a(x,y,x * z)) * a(x,y * x,z)) * u = a(x,y,x * z) \ ((a(x,y * x,z) \ a(x,y,x * z)) * u).
T(a(x,y,x * z),a(x,y * x,z)) * u = a(x,y,x * z) \ ((a(x,y * x,z) \ a(x,y,x * z)) * u).
a(x,y,x * z) * u = a(x,y,x * z) \ ((a(x,y * x,z) \ a(x,y,x * z)) * u).
a(x,y,x * z) \ ((a(x,y * x,z) \ a(x,y,x * z)) * u) = a(x,y,x * z) * u.
a(x,y,x * z) * (a(z,y,(z * y) \ x) * u) = L(u,L(x,z,y),a(z,y,(z * y) \ x)).
(x * a(y,z,y * x)) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
a(x,y,x * z) \ ((a(x,y,z * x) \ a(x,y,x * z)) * u) = a(x,y,x * z) * u.
a(x,y,((y \ x) * z) * x) = a(x,y,y * z).
a(a(x,y,x * z),a(x,y,z * x),u) \ u = a(x,y * x,z) * (a(x,y,x * z) * u).
a(a(x,y,x * z),a(x,y,z * x),u) \ u = a(x,y,z * x) * (a(x,y,x * z) * u).
a(T(x \ y,y),z,T(x,y) * T(x \ y,y)) = a(z,y * x,T(y,x)) \ 1.
a(T(x \ y,y),z,L(T(y,y),y,x)) = a(z,y * x,T(y,x)) \ 1.
a(T(x \ y,y),z,L(y,y,x)) = a(z,y * x,T(y,x)) \ 1.
a(T(x \ y,y),z,y) = a(z,y * x,T(y,x)) \ 1.
a(z,T(x \ y,y),y) = a(z,y * x,T(y,x)) \ 1.
a(z,y * x,y) = a(z,y * x,T(y,x)) \ 1.
a(x,y * z,T(y,z)) \ 1 = a(x,y * z,y).
a(x * y,z,(y \ 1) * (x * y)) = a(y,x \ z,x).
a(x * y,z,T(1 * x,y)) = a(y,x \ z,x).
a(x * y,z,T(x,y)) = a(y,x \ z,x).
a(x,y * z,T(y,z)) = a(z,y \ x,y).
a(x,y,T(z,x \ z) * x) = a(x,y,z / x) \ 1.
a(x,y,z * (K(x,z) * x)) = a(x,y,z / x) \ 1.
a(x,y,z * T(x,z)) = a(x,y,z / x) \ 1.
a(x,y,x * z) = a(x,y,z / x) \ 1.
a(x,y,z / x) \ 1 = a(x,y,x * z).
a(T(x,y),y \ x,z) = a(x,y,z * x).
a(x,y \ x,z) = a(x,y,z * x).
a(z,y \ x,y) \ 1 = a(x,y * z,y).
a(y,y \ x,z) = a(x,y * z,y).
a(y,y * x,z) = a(x,y * z,y).
a(y,x,z * y) = a(x,y * z,y).
a(x,y,z * y) = a(x,y * z,y).
a(x,y * z,y) = a(x,y,z * y).
a(x \ y,x,((x \ z) * y) * x) = a(z * x,x \ y,T(y,x)) \ 1.
a(x \ y,x,T(z,x) * T(y,x)) = a(z * x,x \ y,T(y,x)) \ 1.
a(x,x \ y,T(z,x) * T(y,x)) = a(z * x,x \ y,T(y,x)) \ 1.
a(x,x * y,T(z,x) * T(y,x)) = a(z * x,x \ y,T(y,x)) \ 1.
a(x,y,(T(z,x) * T(y,x)) * x) = a(z * x,x \ y,T(y,x)) \ 1.
a(x,y,T(z * (x * T(y,x)),x)) = a(z * x,x \ y,T(y,x)) \ 1.
a(x,y,T(z * (y * x),x)) = a(z * x,x \ y,T(y,x)) \ 1.
a(z * (y * x),y,x) = a(z * x,x \ y,T(y,x)) \ 1.
a(y,z * (y * x),x) = a(z * x,x \ y,T(y,x)) \ 1.
a(y,z * (y * x),x) = a(T(y,x),x \ y,z * x).
a(y,z * (y * x),x) = a(y,x,(z * x) * y).
a(x,y * (x * z),z) = a(z,x,(y * z) * x).
a(x,y,x * z) * T(a(x,y,z * x),u) = K(a(x,x * y,z),u).
a(x,y,x * z) * T(a(x,y,z * x),u) = K(a(x,y,z * x),u).
a(x * y,z * y,x * (x * y)) = a(z,y,x).
a(x * y,z * y,y) = a(z,y,x).
a(x * y,y,y * z) = a(z,y,x).
a(y,x * y,y * z) = a(z,y,x).
a(y,x,(y * z) * y) = a(z,y,x).
a(y,x,y * (z * y)) = a(z,y,x).
a(x,y,y * (z * y)) = a(z,y,x).
a(x,y,y * (z * y)) = a(y,z,x).
a(x,y,((y \ z) * u) * x) = a(x,x * y,(y * z) * u).
a(x,y,((y \ z) * u) * x) = a(x,y,((y * z) * u) * x).
a(x,u,x * (y \ z)) = a(x,x * (y * z),u).
a(x,y,x * (z \ u)) = a(x,y,x * (z * u)).
a(z / x,y,x) = a(x,y,x * z).
a(y,z / x,x) = a(x,y,x * z).
a(y,x,z / x) = a(x,y,x * z).
a(x,y,z / x) = a(x,y,x * z).
a(x,y,y * z) \ 1 = a(z,y \ x,y).
a(x,y,z) \ 1 = a(z,y \ x,y).
a(z,y,x) = a(z,y \ x,y).
a(y,z,x) = a(z,y \ x,y).
a(y,x,z) = a(z,y \ x,y).
a(x,y,z) = a(z,y \ x,y).
a(x,y,z) = a(z,y,y \ x).
a(x,y,z) = a(y,z,y \ x).
a(x,y,z) = a(y,z,y * x).
a(x,y,x * z) = a(z,x,y).
a(x \ y,T(y,x),z * (y \ x)) \ 1 = a(z,x \ y,x).
a(T(y,x),x \ y,z * (y \ x)) \ 1 = a(z,x \ y,x).
a(y,x,(z * (y \ x)) * y) \ 1 = a(z,x \ y,x).
a(y,x,(z / y) * (x * y)) \ 1 = a(z,x \ y,x).
a(x,y,(z / y) * (x * y)) \ 1 = a(z,x \ y,x).
a((z / y) * (x * y),y,x) = a(z,x \ y,x).
a(y,(z / y) * (x * y),x) = a(z,x \ y,x).
a(y,x,(z / y) * (x * y)) = a(z,x \ y,x).
a(x,y,(z / y) * (x * y)) = a(z,x \ y,x).
a(x,y,(z / y) * (x * y)) = a(z,x,x \ y).
a(x,y,(z / y) * (x * y)) = a(x,z,x \ y).
a(x,y,(z / y) * (x * y)) = a(x,z,x * y).
a(x,y,(z / y) * (x * y)) = a(y,x,z).
a(x,y,(z / y) * (x * y)) = a(x,y,z).
a(x \ y,y,z * (y \ x)) \ 1 = a(z,x \ y,T(x,y)).
a(y,x \ y,z * (y \ x)) \ 1 = a(z,x \ y,T(x,y)).
a(y,x,(z * (y \ x)) * y) \ 1 = a(z,x \ y,T(x,y)).
a(y,x,(z / y) * (x * y)) \ 1 = a(z,x \ y,T(x,y)).
a(x,y,(z / y) * (x * y)) \ 1 = a(z,x \ y,T(x,y)).
a(x,y,z) \ 1 = a(z,x \ y,T(x,y)).
a(z,y,x) = a(z,x \ y,T(x,y)).
a(y,z,x) = a(z,x \ y,T(x,y)).
a(y,x,z) = a(z,x \ y,T(x,y)).
a(x,y,z) = a(z,x \ y,T(x,y)).
a(x,y,z) = a(z,T(x,y),x \ y).
a(x,T(y,z),y \ z) = a(y,z,x).
a(a(z,x,y),a(x,y,z * x),u) \ u = a(x,y,z * x) * (a(x,y,x * z) * u).
a(a(x,z,y),a(x,y,z * x),u) \ u = a(x,y,z * x) * (a(x,y,x * z) * u).
a(a(x,y,z),a(x,y,z * x),u) \ u = a(x,y,z * x) * (a(x,y,x * z) * u).
a(a(x,y,z),a(x,y,z),u) \ u = a(x,y,z * x) * (a(x,y,x * z) * u).
1 \ u = a(x,y,z * x) * (a(x,y,x * z) * u).
u = a(x,y,z * x) * (a(x,y,x * z) * u).
u = a(x,y,z) * (a(x,y,x * z) * u).
u = a(x,y,z) * (a(z,x,y) * u).
u = a(x,y,z) * (a(x,z,y) * u).
u = a(x,y,z) * (a(x,y,z) * u).
a(x,y,z) * (a(x,y,z) * u) = u.
a(z,x,y) \ ((a(x,y,z * x) \ a(x,y,x * z)) * u) = a(x,y,x * z) * u.
a(x,z,y) \ ((a(x,y,z * x) \ a(x,y,x * z)) * u) = a(x,y,x * z) * u.
a(x,y,z) \ ((a(x,y,z * x) \ a(x,y,x * z)) * u) = a(x,y,x * z) * u.
a(x,y,z) \ ((a(x,y,z) \ a(x,y,x * z)) * u) = a(x,y,x * z) * u.
a(x,y,z) \ ((a(x,y,z) \ a(z,x,y)) * u) = a(x,y,x * z) * u.
a(x,y,z) \ ((a(x,y,z) \ a(x,z,y)) * u) = a(x,y,x * z) * u.
a(x,y,z) \ ((a(x,y,z) \ a(x,y,z)) * u) = a(x,y,x * z) * u.
a(x,y,z) \ (1 * u) = a(x,y,x * z) * u.
a(x,y,z) \ u = a(x,y,x * z) * u.
a(x,y,z) \ u = a(z,x,y) * u.
a(x,y,z) \ u = a(x,z,y) * u.
a(x,y,z) \ u = a(x,y,z) * u.
a(x,y,z) \ L(x,y,z) = x.
a(x,y,z) * L(x,y,z) = x.
a(x,y,(y \ x) * z) = a(x,y,y * z).
a(x,y,(y \ x) * z) = a(x,y,z).
a(x,y,z * y) = a(y,z,x).
a(x,y,z * y) = a(y,x,z).
a(x,y,z * y) = a(x,y,z).
a(x,z,y * (x * z)) = a(z,x,(y * z) * x).
a(x,z,y * (x * z)) = a(x,z,(y * z) * x).
a(x,z,y * (x * z)) = a(x,z,y * z).
a(x,z,y * (x * z)) = a(x,z,y).
a(x,y,z * (x * y)) = a(x,z,y).
K(a(x,T(y,z),y \ z),x * z) = 1.
K(a(y,z,x),x * z) = 1.
K(a(y,x,z),x * z) = 1.
K(a(x,y,z),x * z) = 1.
a(x,u,y * (z / y)) = a(x,T(z,y),u).
a(x,y,z * (u / z)) = a(x,y,T(u,z)).
a(x,u,y \ (z / y)) = a(z,x,u).
a(x,y,z \ (u / z)) = a(x,u,y).
x * a(y,z,x * (y * z)) = L(x,y,z).
x * a(y,x,z) = L(x,y,z).
x * a(x,y,z) = L(x,y,z).
L(x,y,a(z,u,y * (z * u))) = x.
L(x,y,a(z,y,u)) = x.
L(x,y,a(y,z,u)) = x.
(x * a(x,y,z)) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
L(x,y,z) * a(y,z * (y \ (x / y)),T(z,y \ (x / y)) \ y) = x.
L(x,y,z) * a(y,z * (y \ (x / y)),T(z,y \ (x / y))) = x.
L(x,y,z) * a(y,T(z,y \ (x / y)),z * (y \ (x / y))) = x.
L(x,y,z) * a(z,y,z * (y \ (x / y))) = x.
L(x,y,z) * a(y,z,z * (y \ (x / y))) = x.
L(x,y,z) * a(y,z,y \ (x / y)) = x.
L(x,y,z) * a(y,z,y * (x / y)) = x.
L(x,y,z) * a(x / y,y,z) = x.
L(x,y,z) * a(y,x / y,z) = x.
L(x,y,z) * a(y,z,x / y) = x.
L(x,y,z) * a(y,z,y * x) = x.
L(x,y,z) * a(x,y,z) = x.
a(x,y,(y \ z) * u) = a(x,y,((y * z) * u) * x).
a(x,y,(y \ z) * u) = a(x,y,(y * z) * u).
a(z,x,y) * T(a(x,y,z * x),u) = K(a(x,y,z * x),u).
a(x,z,y) * T(a(x,y,z * x),u) = K(a(x,y,z * x),u).
a(x,y,z) * T(a(x,y,z * x),u) = K(a(x,y,z * x),u).
a(x,y,z) * T(a(x,y,z),u) = K(a(x,y,z * x),u).
a(x,y,z) * T(a(x,y,z),u) = K(a(x,y,z),u).
a(x,y,z) * (L(x,z,y) * u) = x * u.
a(x,y,z) * (L(x,y,z) * u) = x * u.
a(z \ u,x,y) = a(x,y,x * (z * u)).
a(x,z \ u,y) = a(x,y,x * (z * u)).
a(x,y,z \ u) = a(x,y,x * (z * u)).
a(x,y,z \ u) = a(z * u,x,y).
a(x,y,z \ u) = a(x,z * u,y).
a(x,y,z \ u) = a(x,y,z * u).
a(z,x,y) * (a(z,y,(z * y) \ x) * u) = L(u,L(x,z,y),a(z,y,(z * y) \ x)).
a(x,z,y) * (a(z,y,(z * y) \ x) * u) = L(u,L(x,z,y),a(z,y,(z * y) \ x)).
a(x,y,z) * (a(z,y,(z * y) \ x) * u) = L(u,L(x,z,y),a(z,y,(z * y) \ x)).
a(x,y,z) * (a(y,z,(z * y) \ x) * u) = L(u,L(x,z,y),a(z,y,(z * y) \ x)).
a(x,y,z) * (a(y,z,(z * y) * x) * u) = L(u,L(x,z,y),a(z,y,(z * y) \ x)).
a(x,y,z) * (a(y,z,(z * y) * x) * u) = L(u,L(x,y,z),a(z,y,(z * y) \ x)).
a(x,y,z) * (a(y,z,(z * y) * x) * u) = L(u,L(x,y,z),a(y,z,(z * y) \ x)).
a(x,y,z) * (a(y,z,(z * y) * x) * u) = L(u,L(x,y,z),a(y,z,(z * y) * x)).
a(x,y,(y * x) * z) = a(x,y,z).
a(x,y,z * (u / z)) = a(x,u,y).
a(x,y,T(u,z)) = a(x,u,y).
a(x,y,T(z,u)) = a(x,y,z).
a(x,y,z) * (a(y,z,x) * u) = L(u,L(x,y,z),a(y,z,(z * y) * x)).
a(x,y,z) * (a(y,x,z) * u) = L(u,L(x,y,z),a(y,z,(z * y) * x)).
a(x,y,z) * (a(x,y,z) * u) = L(u,L(x,y,z),a(y,z,(z * y) * x)).
u = L(u,L(x,y,z),a(y,z,(z * y) * x)).
u = L(u,L(x,y,z),a(y,z,x)).
u = L(u,L(x,y,z),a(y,x,z)).
u = L(u,L(x,y,z),a(x,y,z)).
u = L(u,a(x,y,z),L(x,y,z)).
L(x,a(y,z,u),L(y,z,u)) = x.
(x * (y * K(z,u))) * 1 = (x * y) * K(z,u).
x * (y * K(z,u)) = (x * y) * K(z,u).
(x * y) * K(z,u) = x * (y * K(z,u)).
(x \ K(y,z)) * (u * K(z,T(y,u))) = x \ u.
(x \ K(y,z)) * (K(z,y) * u) = x \ u.
x \ (x * (K(z,y) * (x * u))) = (K(z,y) * x) * u.
K(z,y) * (x * u) = (K(z,y) * x) * u.
(K(x,y) * z) * u = K(x,y) * (z * u).
x * ((K(x,y) * (z * u)) * x) = (T(x,y) * z) * (u * x).
x * T(T(x,y) * (z * u),x) = (T(x,y) * z) * (u * x).
(T(x,y) * (z * u)) * x = (T(x,y) * z) * (u * x).
T(x,y) * ((z * u) * x) = (T(x,y) * z) * (u * x).
(T(x,y) * z) * (u * x) = T(x,y) * ((z * u) * x).
a(x,y,z) * (u * L(x,y,z)) = x * T(u,L(x,y,z)).
(a(x,y,z) \ (((u * (a(x,y,z) * L(x,y,z))) \ a(x,y,z)) * ((L(x,y,z) * a(x,y,z)) * u))) * K(L(u,a(x,y,z),L(x,y,z)),x * a(x,y,z)) = 1.
(a(x,y,z) \ (((u * x) \ a(x,y,z)) * ((L(x,y,z) * a(x,y,z)) * u))) * K(L(u,a(x,y,z),L(x,y,z)),x * a(x,y,z)) = 1.
(a(x,y,z) \ (((u * x) \ a(x,y,z)) * (x * u))) * K(L(u,a(x,y,z),L(x,y,z)),x * a(x,y,z)) = 1.
(a(x,y,z) * (((u * x) \ a(x,y,z)) * (x * u))) * K(L(u,a(x,y,z),L(x,y,z)),x * a(x,y,z)) = 1.
(a(x,y,z) * (((u * x) \ a(x,y,z)) * (x * u))) * K(u,x * a(x,y,z)) = 1.
(a(x,y,z) * (((u * x) \ a(x,y,z)) * (x * u))) * K(u,L(x,y,z)) = 1.
a(x,y,z) * ((((u * x) \ a(x,y,z)) * (x * u)) * K(u,L(x,y,z))) = 1.
a(x,y,z) * (((u * x) \ a(x,y,z)) * ((x * u) * K(u,L(x,y,z)))) = 1.
a(x,y,z) * (((u * x) \ a(x,y,z)) * (x * (u * K(u,L(x,y,z))))) = 1.
a(x,y,z) * (((u * x) \ a(x,y,z)) * (x * T(u,L(x,y,z)))) = 1.
K(a(x \ y,z,x),T(y,x)) = 1.
K(a(z,x \ y,x),T(y,x)) = 1.
K(a(z,x,x \ y),T(y,x)) = 1.
K(a(x,z,x \ y),T(y,x)) = 1.
K(a(x,z,x * y),T(y,x)) = 1.
K(a(y,x,z),T(y,x)) = 1.
K(a(x,y,z),T(y,x)) = 1.
x \ (T(x,y) * z) = T(y / (y * x),K(x,y)) * (x * z).
K(x,y) * z = T(y / (y * x),K(x,y)) * (x * z).
T(x / (x * y),K(y,x)) * (y * z) = K(y,x) * z.
a(x,y,z) * (T(L(x,y,z),u) * w) = x * (T(u / (u * L(x,y,z)),K(L(x,y,z),u)) * (L(x,y,z) * w)).
a(x,y,z) * (L(T(x,u),y,z) * w) = x * (T(u / (u * L(x,y,z)),K(L(x,y,z),u)) * (L(x,y,z) * w)).
a(x,y,z) * (L(T(x,u),y,z) * w) = x * (K(L(x,y,z),u) * w).
K(a(x \ 1,T(T(y,x),z),u),T(y,z)) = 1.
K(a(x \ 1,u,T(T(y,x),z)),T(y,z)) = 1.
K(a(u,x \ 1,T(T(y,x),z)),T(y,z)) = 1.
K(a(u,x \ 1,T(y,x)),T(y,z)) = 1.
K(a(u,x \ 1,y),T(y,z)) = 1.
K(a(u,y,x \ 1),T(y,z)) = 1.
K(a(y,u,x \ 1),T(y,z)) = 1.
K(a(y,u,x * 1),T(y,z)) = 1.
K(a(y,u,x),T(y,z)) = 1.
K(a(y,x,u),T(y,z)) = 1.
K(a(x,y,z),T(y,u)) = 1.
1 * K(T(x,y),a(z,x,u)) = 1.
1 * K(T(x,y),a(x,z,u)) = 1.
1 * K(x,T(a(x,z,u),y)) = 1.
K(x,T(a(x,y,z),u)) = 1.
T(x,T(a(x,y,z),u)) = x.
T(T(a(x,y,z),u),x) * 1 = T(a(x,y,z),u).
T(T(a(x,y,z),u),x) = T(a(x,y,z),u).
L(x,y,z * (u * z)) = L(x,y,T(u,z)).
L(x,y,(z * u) * (u * ((u \ z) * w))) = L(x,y,u \ w).
L(x,y,u * ((u \ z) * ((u * z) * w))) = L(x,y,u \ w).
L(x,y,u * (z * (T(z,u) * w))) = L(x,y,u \ w).
L(x,y,z * (u * (z * w))) = L(x,y,u \ w).
L(x,y,z * (u * (z * w))) = L(x,y,u * w).
L(x,y,z * (z * (u * (w * (u * (y * x)))))) = L(x,y,u * (w * u)).
L(x,y,u * (w * (u * (y * x)))) = L(x,y,u * (w * u)).
L(x,y,w * (y * x)) = L(x,y,u * (w * u)).
L(x,y,w) = L(x,y,u * (w * u)).
L(x,y,w) = L(x,y,T(w,u)).
L(x,y,T(z,u)) = L(x,y,z).
L(x,K(y,z),y \ u) = x.
L(x,K(y,z),y * u) = x.
T(T(x,y),z) / (x * y) = (x * y) \ T(x,z).
T(T(x,y),z) / (x * y) = y \ K(x,z).
L(L(T(x,y),z,u),z,u) = T(x,L(x,z,u) * y).
T(x,y) = T(x,L(x,z,u) * y).
T(x,L(x,y,z) * u) = T(x,u).
a(T(x,L(x,y,z) * u),y,z) * (L(T(x,u),y,z) * w) = T(x,L(x,y,z) * u) * w.
a(T(x,u),y,z) * (L(T(x,u),y,z) * w) = T(x,L(x,y,z) * u) * w.
a(y,T(x,u),z) * (L(T(x,u),y,z) * w) = T(x,L(x,y,z) * u) * w.
a(y,z,T(x,u)) * (L(T(x,u),y,z) * w) = T(x,L(x,y,z) * u) * w.
a(y,z,x) * (L(T(x,u),y,z) * w) = T(x,L(x,y,z) * u) * w.
a(y,x,z) * (L(T(x,u),y,z) * w) = T(x,L(x,y,z) * u) * w.
a(x,y,z) * (L(T(x,u),y,z) * w) = T(x,L(x,y,z) * u) * w.
x * (K(L(x,y,z),u) * w) = T(x,L(x,y,z) * u) * w.
x * (K(L(x,y,z),u) * w) = T(x,u) * w.
((T(a(x,y,z),u) \ x) * w) * L(w \ T(a(x,y,z),u),T(a(x,y,z),u),x) = x.
((T(a(x,y,z),u) \ x) * w) * L(w \ T(a(x,y,z),u),x,T(a(x,y,z),u)) = x.
((T(a(x,y,z),u) \ x) * w) * L(w \ T(a(x,y,z),u),x,a(x,y,z)) = x.
((T(a(x,y,z),u) \ x) * w) * (w \ T(a(x,y,z),u)) = x.
w * ((w \ (T(a(x,y,z),u) \ x)) * T(a(x,y,z),u)) = x.
L(T(x,T(a(x,y,z),u)),T(a(x,y,z),u),w) = x.
L(x,T(a(x,y,z),u),w) = x.
L(x,w,T(a(x,y,z),u)) = x.
L(x,y,a(x,z,u)) = x.
L(x,K(y,z),u \ (w \ 1)) = x.
L(x,K(y,z),u * (w \ 1)) = x.
L(x,K(y,z),u / w) = x.
L(x,K(y,z),u * w) = x.
x \ (y \ (a(x,z,u) \ 1)) = (y * x) \ (a(x,z,u) \ 1).
x \ (y \ (a(x,z,u) * 1)) = (y * x) \ (a(x,z,u) \ 1).
x \ (y \ a(x,z,u)) = (y * x) \ (a(x,z,u) \ 1).
x \ (y \ a(x,z,u)) = (y * x) \ (a(x,z,u) * 1).
x \ (y \ a(x,z,u)) = (y * x) \ a(x,z,u).
(x * y) \ a(y,z,u) = y \ (x \ a(y,z,u)).
a(x,y,z) * ((x \ (u \ a(x,y,z))) * (x * T(u,L(x,y,z)))) = 1.
K(x,y) * ((K(y,x) * z) * (K(x,y) * u)) = (z * K(x,y)) * u.
K(x,y) * (K(y,x) * (z * (K(x,y) * u))) = (z * K(x,y)) * u.
z * (K(x,y) * u) = (z * K(x,y)) * u.
(x * K(y,z)) * u = x * (K(y,z) * u).
L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) \ (K(y,x) * u) = T(z,K(y,x) * u).
L((z \ K(y,x)) * u,K(x,y) * z,K(y,x)) \ (K(y,x) * u) = T(z,K(y,x) * u).
L((z \ K(y,x)) * u,K(y,x),K(x,y) * z) \ (K(y,x) * u) = T(z,K(y,x) * u).
((z \ K(y,x)) * u) \ (K(y,x) * u) = T(z,K(y,x) * u).
(((z \ K(y,x)) * u) \ K(y,x)) * u = T(z,K(y,x) * u).
(u \ ((z \ K(y,x)) \ K(y,x))) * u = T(z,K(y,x) * u).
(u \ ((K(y,x) \ z) * K(y,x))) * u = T(z,K(y,x) * u).
(u \ ((K(x,y) * z) * K(y,x))) * u = T(z,K(y,x) * u).
(u \ (K(x,y) * (z * K(y,x)))) * u = T(z,K(y,x) * u).
(u \ T(z,K(y,x))) * u = T(z,K(y,x) * u).
T(T(x,K(y,z)),u) = T(x,K(y,z) * u).
K(x,y) * (T(z,u) * K(y,x)) = T(T(z,K(y,x)),u).
T(T(z,u),K(y,x)) = T(T(z,K(y,x)),u).
T(T(x,y),K(z,u)) = T(x,K(z,u) * y).
T(T(x,y),z) / (x * y) = (T(x,z) * y) \ T(x,z * z).
y \ K(x,z) = (T(x,z) * y) \ T(x,z * z).
(T(x,y) * z) \ T(x,y * y) = z \ K(x,y).
((T(x,y) * a(x,z,u)) \ T(x,y * y)) * (x * a(x,z,u)) = T(x,y).
(a(x,z,u) \ K(x,y)) * (x * a(x,z,u)) = T(x,y).
(a(x,z,u) * K(x,y)) * (x * a(x,z,u)) = T(x,y).
(a(x,z,u) * K(x,y)) * L(x,z,u) = T(x,y).
a(x,z,u) * (K(x,y) * L(x,z,u)) = T(x,y).
x * T(K(x,y),L(x,z,u)) = T(x,y).
x * K(x,T(y,L(x,z,u))) = T(x,y).
T(x,T(y,L(x,z,u))) = T(x,y).
L(L(x,y,z),y,z) = T(x,K(L(x,y,z),u)).
x = T(x,K(L(x,y,z),u)).
T(x,K(L(x,y,z),u)) = x.
K(L(x,y,z),u) * x = x * K(L(x,y,z),u).
x / K(L(x,y,z),u) = K(L(x,y,z),u) \ x.
x * K(u,L(x,y,z)) = K(L(x,y,z),u) \ x.
x * K(u,L(x,y,z)) = K(u,L(x,y,z)) * x.
K(x,L(y,z,u)) * y = y * K(x,L(y,z,u)).
T(x,K(L(x,y,z),u) \ x) = x.
T(x,K(u,L(x,y,z)) * x) = x.
T(x,x * K(u,L(x,y,z))) = x.
T(x,K(y,L(x,z,u))) = x.
(K(L(x,y,z),u) * ((K(L(x,y,z),u) * x) * w)) * ((K(L(x,y,z),u) * (x * w)) \ x) = x * K(L(x,y,z),u).
(K(L(x,y,z),u) * ((x * K(L(x,y,z),u)) * w)) * ((K(L(x,y,z),u) * (x * w)) \ x) = x * K(L(x,y,z),u).
(K(L(x,y,z),u) * (x * (K(L(x,y,z),u) * w))) * ((K(L(x,y,z),u) * (x * w)) \ x) = x * K(L(x,y,z),u).
(K(L(x,y,z),u) * (T(x,u) * w)) * ((K(L(x,y,z),u) * (x * w)) \ x) = x * K(L(x,y,z),u).
(K(L(x,y,z),u) * (T(x,u) * w)) * (((x * w) \ K(u,L(x,y,z))) * x) = x * K(L(x,y,z),u).
(K(L(x,y,z),u) * (T(x,u) * w)) * ((w \ (x \ K(u,L(x,y,z)))) * x) = x * K(L(x,y,z),u).
K(L(x,y,z),u) * ((T(x,u) * w) * ((w \ (x \ K(u,L(x,y,z)))) * x)) = x * K(L(x,y,z),u).
K(L(x,y,z),u) * (T(x,u) * ((w * (w \ (x \ K(u,L(x,y,z))))) * x)) = x * K(L(x,y,z),u).
K(L(x,y,z),u) * (T(x,u) * ((x \ K(u,L(x,y,z))) * x)) = x * K(L(x,y,z),u).
K(L(x,y,z),u) * (T(x,u) * T(K(u,L(x,y,z)),x)) = x * K(L(x,y,z),u).
K(L(x,y,z),u) * (T(x,u) * K(u,T(L(x,y,z),x))) = x * K(L(x,y,z),u).
K(L(x,y,z),u) * (T(x,u) * K(u,L(T(x,x),y,z))) = x * K(L(x,y,z),u).
K(L(x,y,z),u) * (T(x,u) * K(u,L(x,y,z))) = x * K(L(x,y,z),u).
T(T(x,u),K(u,L(x,y,z))) = x * K(L(x,y,z),u).
T(x,K(u,L(x,y,z)) * u) = x * K(L(x,y,z),u).
T(x,T(u,L(x,y,z))) = x * K(L(x,y,z),u).
T(x,u) = x * K(L(x,y,z),u).
x * K(L(x,y,z),u) = T(x,u).
K(L(x,y,z),u) * x = T(x,u).
K(x,L(y,z,u)) / y = y \ K(x,L(y,z,u)).
x / (T(y,z) * ((K(u,L(y,w,v5)) \ y) * (T(y,z) \ x))) = y \ K(u,L(y,w,v5)).
x / (T(y,z) * ((K(L(y,w,v5),u) * y) * (T(y,z) \ x))) = y \ K(u,L(y,w,v5)).
x / (T(y,z) * (T(y,u) * (T(y,z) \ x))) = y \ K(u,L(y,w,v5)).
T(y \ 1,u) = y \ K(u,L(y,w,v5)).
x \ K(y,L(x,z,u)) = T(x \ 1,y).
(x * ((x \ y) * K(z,L(y,u,w)))) / L(y,x,K(z,L(y,u,w))) = K(z,L(y,u,w)).
(y * K(z,L(y,u,w))) / L(y,x,K(z,L(y,u,w))) = K(z,L(y,u,w)).
(y * K(z,L(y,u,w))) / y = K(z,L(y,u,w)).
y * (K(z,L(y,u,w)) / y) = K(z,L(y,u,w)).
y * (y \ K(z,L(y,u,w))) = K(z,L(y,u,w)).
y * T(y \ 1,z) = K(z,L(y,u,w)).
y / T(y,z) = K(z,L(y,u,w)).
K(z,y) = K(z,L(y,u,w)).
K(x,L(y,z,u)) = K(x,y).
x * K(x,y) = T(x,L(y,z,u)).
T(x,y) = T(x,L(y,z,u)).
T(x,L(y,z,u)) = T(x,y).
a(x,y,z) * ((x \ (u \ a(x,y,z))) * (x * T(u,x))) = 1.
a(x,y,z) * ((x \ (u \ a(x,y,z))) * (u * x)) = 1.
a(x,y,z) * T((u \ a(x,y,z)) * u,x) = 1.
a(x,y,z) * T(T(a(x,y,z),u),x) = 1.
a(x,y,z) * T(a(x,y,z),u) = 1.
a(x,a(y,z,u),w) = 1 # label("aa2") # label(non_clause) # label(goal).
a(c22,a(c23,c24,c25),c26) != 1 # label("aa2") # answer("aa2").
T(R(x,y,z),y * z) = (y * z) \ ((x * y) * z).
R(T(x,y * z),y,z) = (y * z) \ ((x * y) * z).
(x * y) \ ((z * x) * y) = R(T(z,x * y),x,y).
T((x * y) / ((z \ x) * y),u) = R(T(z,u),z \ x,y).
T(R(x,x \ y,z),y * z) = ((x \ y) * z) \ (y * z).
R(T(x,y * z),x \ y,z) = ((x \ y) * z) \ (y * z).
T(T(T(x,y),z),u) / y = y \ T(T(x,z),u).
T((x * y) * z,R(x,y,z)) = (y * z) * R(x,y,z).
T(R(x \ 1,y,z),(x \ y) * z) = (y * z) \ ((x \ y) * z).
R(T(x \ 1,(x \ y) * z),y,z) = (y * z) \ ((x \ y) * z).
K((x * y) * z,R(x,y,z)) = K(y * z,R(x,y,z)).
T(L(z,x \ 1,y),u) = R(T(z,u),z \ x,y).
L(T(z,u),x \ 1,y) = R(T(z,u),z \ x,y).
R(T(x,y),x \ z,u) = L(T(x,y),z \ 1,u).
K((x \ y) * z,R(x \ 1,y,z)) = K(y * z,(x \ y) * z).
K(x * y,R(z \ 1,x,y)) = K(x * y,(z \ x) * y).
T(x,R(y,z,z \ x)) = T(x,z * ((z \ y) * x)).
T(x,y * ((y \ z) * x)) = T(x,R(z,y,y \ x)).
T(R(x \ 1,y,z),(x \ y) * z) \ R(x \ 1,y,z) = K(y * z,(x \ y) * z).
R(T(x \ 1,(x \ y) * z),y,z) \ R(x \ 1,y,z) = K(y * z,(x \ y) * z).
((y * z) \ ((x \ y) * z)) \ R(x \ 1,y,z) = K(y * z,(x \ y) * z).
(((x \ y) * z) \ (y * z)) * R(x \ 1,y,z) = K(y * z,(x \ y) * z).
T((x * y) * z,R(x,y,z)) / ((x * y) * z) = K(y * z,R(x,y,z)).
((x * y) * R(z,x,y)) / ((z * x) * y) = K(x * y,R(z,x,y)).
R(T(x,y),x \ z,u) = L(T(x,y),z,u \ 1).
R(T(x,y),x \ z,u) = L(T(x,y),z,u).
L(T(x,y * z),y,z) = ((x \ y) * z) \ (y * z).
T(T(x,y),z) = ((x \ y) * z) \ (y * z).
((x \ y) * z) \ (y * z) = T(T(x,y),z).
(x * y) * L(z,x,y) = x * (y * z).
T(x,y * ((y \ z) * x)) = T(x,L(z,y,x)).
T(x,y * ((y \ z) * x)) = T(x,L(z,x,y)).
T(T(x,y),z) * R(x \ 1,y,z) = K(y * z,(x \ y) * z).
T(T(x,y),z) * L(x \ 1,y,z) = K(y * z,(x \ y) * z).
T(T(x,y),z) / L(x,y,z) = K(y * z,(x \ y) * z).
K(x * y,L(z \ 1,x,y)) = K(x * y,(z \ x) * y).
T(R(x,y * z,a(x,y,z)),(y * z) * a(x,y,z)) = T(R(x,y * z,a(x,y,z)),(x * y) * z).
R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = T(R(x,y * z,a(x,y,z)),(x * y) * z).
R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = R(T(x,(x * y) * z),y * z,a(x,y,z)).
R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = R(T(x,y * (z * x)),y * z,a(x,y,z)).
((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)).
((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,x * (y * z)),x * y,a(z,x,y)).
R(T(x,y * (z * x)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z).
R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z).
K(L(x * y,y,z),z) = K(x * (y * z),z).
L(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z).
T(T(x,y * z),a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z).
((x * y) * a(z,x,y)) \ ((z * x) * y) = T(T(z,x * y),a(z,x,y)).
L(T(x,y * (z * x)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z).
L(T(x,y * (z * x)),y * z,a(x,y,z)) = T(T(x,y * z),a(x,y,z)).
((x * y) * L(z,x,y)) / ((z * x) * y) = K(x * y,R(z,x,y)).
(x * (y * z)) / ((z * x) * y) = K(x * y,R(z,x,y)).
(x * (y * z)) / ((z * x) * y) = K(x * y,L(z,x,y)).
T(x,y) = T(T(x,y),a(x,z,u)).
T(T(x,y),a(x,z,u)) = T(x,y).
L(T(x,y * (z * x)),y * z,a(x,y,z)) = T(x,y * z).
T(T(x,y),z) / L(x,u,w) = L(x,u,w) \ T(T(x,y),z).
L(x,y,z) \ T(T(x,y),z) = K(y * z,(x \ y) * z).
a(c22,c26,a(c23,c24,c25)) != 1.
L(x,y,z) \ x = a(x,z,y).
L(x,y,z) \ x = a(x,y,z).
((x * ((x \ y) * z)) * x) / ((x * y) * z) = K(x * ((x \ y) * z),x).
(x * (((x \ y) * z) * x)) / ((x * y) * z) = K(x * ((x \ y) * z),x).
(x * (T(y,x) * T(z,x))) / ((x * y) * z) = K(x * ((x \ y) * z),x).
(y * (x * T(z,x))) / ((x * y) * z) = K(x * ((x \ y) * z),x).
(y * (z * x)) / ((x * y) * z) = K(x * ((x \ y) * z),x).
K(y * z,L(x,y,z)) = K(x * ((x \ y) * z),x).
K(y * z,L(x,y,z)) = K((x \ y) * z,x).
K(y * z,L(x,y,z)) = K(y * (z * x),x).
K(x * (y * z),z) = K(x * y,L(z,x,y)).
T(x,y) = L(T(x,y),z,a(x,u,w)).
L(T(x,y),z,a(x,u,w)) = T(x,y).
T(x,y * (z * x)) = T(x,y * z).
T(x,y * (y \ z)) = T(x,L(z,x,y)).
T(x,z) = T(x,L(z,x,y)).
T(x,L(y,x,z)) = T(x,y).
x / T(x,y) = K(L(y,x,z),x).
K(y,x) = K(L(y,x,z),x).
K(L(x,y,z),y) = K(x,y).
K(L(x,y,z),z) = K(x,z).
K(x * y,z) = K(x * (y * z),z).
K(x * (y * z),z) = K(x * y,z).
K(x * y,z) = K(x * y,L(z,x,y)).
K(x * y,L(z,x,y)) = K(x * y,z).
K(x * y,z \ 1) = K(x * y,(z \ x) * y).
K(z,x * y) = K(x * y,(z \ x) * y).
K(x * y,(z \ x) * y) = K(z,x * y).
L(x,y,z) \ T(T(x,y),z) = K(x,y * z).
T(a(x,y,z),u) = a(x,y,z).
L(a(x,y,z),u,w) \ T(T(a(x,y,z),u),w) = 1.
L(a(x,y,z),u,w) \ T(a(x,y,z),w) = 1.
L(a(x,y,z),u,w) \ a(x,y,z) = 1.
a(a(x,y,z),u,w) = 1.
a(u,a(x,y,z),w) = 1.
a(x,y,a(z,u,w)) = 1.
a(a(c17,c18,c19),c20,c21) != 1 # label("aa1") # answer("aa1").
a(c20,a(c17,c18,c19),c21) != 1.
a(c20,c21,a(c17,c18,c19)) != 1.
a(c27,c28,a(c29,c30,c31)) != 1 # label("aa3") # answer("aa3").
end_of_list.
