Twee---2.7.THM-CRf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP720+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:11:51 AM UTC 2026

% Result   : Theorem 79.79s 10.67s
% Output   : CNFRefutation 82.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   66
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  456 ( 456 unt;   0 def)
%            Number of atoms       :  456 ( 455 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  832 (   0 sgn   4   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(c1,conjecture,
    ! [X0,X1] :
    ? [X2] : mult(mult(X0,X0),mult(X1,X1)) = mult(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(c2,negated_conjecture,
    ~ ! [X0_2,X1_2] :
      ? [X2_2] : mult(mult(X0_2,X0_2),mult(X1_2,X1_2)) = mult(X2_2,X2_2),
    inference(negate_conjecture,[status(cth)],[c1]) ).

cnf(c3,plain,
    mult(mult(x0,x0),mult(x1,x1)) != mult(X2_2,X2_2),
    inference(clausify,[status(esa)],[c2]) ).

cnf(c4,axiom,
    mult(A,B) = mult(B,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

cnf(c5,plain,
    mult(X3,X) = mult(X,X3),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c6,plain,
    mult(X,X3) = mult(X3,X),
    inference(symmetry,[status(thm)],[c5]) ).

cnf(c7,plain,
    ld(X3,mult(X,X3)) = ld(X3,mult(X3,X)),
    inference(congruence,[status(thm)],[c6]) ).

cnf(c8,axiom,
    ld(A2,mult(A2,B2)) = B2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

cnf(c9,plain,
    ld(X3,mult(X3,X)) = X,
    inference(substitution,[status(thm)],[c8]) ).

cnf(c10,plain,
    ld(X3,mult(X,X3)) = X,
    inference(transitivity,[status(thm)],[c7,c9]) ).

cnf(c11,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(x0,x0)),mult(mult(mult(x0,x0),mult(x1,x1)),ld(mult(mult(x0,x0),x1),mult(x0,x0)))) = mult(mult(x0,x0),mult(x1,x1)),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c12,plain,
    mult(mult(x0,x0),mult(x1,x1)) = ld(ld(mult(mult(x0,x0),x1),mult(x0,x0)),mult(mult(mult(x0,x0),mult(x1,x1)),ld(mult(mult(x0,x0),x1),mult(x0,x0)))),
    inference(symmetry,[status(thm)],[c11]) ).

cnf(c13,plain,
    ld(mult(X3,X),mult(X3,mult(X3,X))) = X3,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c14,plain,
    X3 = ld(mult(X3,X),mult(X3,mult(X3,X))),
    inference(symmetry,[status(thm)],[c13]) ).

cnf(c15,plain,
    mult(X3,ld(mult(X3,X),mult(X3,mult(X,X4)))) = mult(ld(mult(X3,X),mult(X3,mult(X3,X))),ld(mult(X3,X),mult(X3,mult(X,X4)))),
    inference(congruence,[status(thm)],[c14]) ).

cnf(c16,axiom,
    mult(A2,ld(A2,B2)) = B2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(c17,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c18,plain,
    X = mult(X3,ld(X3,X)),
    inference(symmetry,[status(thm)],[c17]) ).

cnf(c19,plain,
    mult(X4,X) = mult(X4,mult(X3,ld(X3,X))),
    inference(congruence,[status(thm)],[c18]) ).

cnf(c20,plain,
    ld(mult(X4,X3),mult(X4,X)) = ld(mult(X4,X3),mult(X4,mult(X3,ld(X3,X)))),
    inference(congruence,[status(thm)],[c19]) ).

cnf(c21,plain,
    mult(ld(mult(X4,X3),mult(X4,X)),ld(mult(X4,X3),mult(X4,mult(X3,X5)))) = mult(ld(mult(X4,X3),mult(X4,mult(X3,ld(X3,X)))),ld(mult(X4,X3),mult(X4,mult(X3,X5)))),
    inference(congruence,[status(thm)],[c20]) ).

cnf(c22,axiom,
    ld(mult(A2,B2),mult(A2,mult(B2,mult(C,D)))) = mult(ld(mult(A2,B2),mult(A2,mult(B2,C))),ld(mult(A2,B2),mult(A2,mult(B2,D)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

cnf(c23,plain,
    ld(mult(X5,X4),mult(X5,mult(X4,mult(ld(X4,X3),X)))) = mult(ld(mult(X5,X4),mult(X5,mult(X4,ld(X4,X3)))),ld(mult(X5,X4),mult(X5,mult(X4,X)))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c24,plain,
    mult(ld(mult(X5,X4),mult(X5,mult(X4,ld(X4,X3)))),ld(mult(X5,X4),mult(X5,mult(X4,X)))) = ld(mult(X5,X4),mult(X5,mult(X4,mult(ld(X4,X3),X)))),
    inference(symmetry,[status(thm)],[c23]) ).

cnf(c25,plain,
    mult(ld(X4,X3),X) = mult(X,ld(X4,X3)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c26,plain,
    mult(X4,mult(ld(X4,X3),X)) = mult(X4,mult(X,ld(X4,X3))),
    inference(congruence,[status(thm)],[c25]) ).

cnf(c27,plain,
    mult(X5,mult(X4,mult(ld(X4,X3),X))) = mult(X5,mult(X4,mult(X,ld(X4,X3)))),
    inference(congruence,[status(thm)],[c26]) ).

cnf(c28,plain,
    ld(mult(X5,X4),mult(X5,mult(X4,mult(ld(X4,X3),X)))) = ld(mult(X5,X4),mult(X5,mult(X4,mult(X,ld(X4,X3))))),
    inference(congruence,[status(thm)],[c27]) ).

cnf(c29,plain,
    mult(ld(mult(X5,X4),mult(X5,mult(X4,ld(X4,X3)))),ld(mult(X5,X4),mult(X5,mult(X4,X)))) = ld(mult(X5,X4),mult(X5,mult(X4,mult(X,ld(X4,X3))))),
    inference(transitivity,[status(thm)],[c24,c28]) ).

cnf(c30,plain,
    mult(ld(mult(X5,X4),mult(X5,X3)),ld(mult(X5,X4),mult(X5,mult(X4,X)))) = ld(mult(X5,X4),mult(X5,mult(X4,mult(X,ld(X4,X3))))),
    inference(transitivity,[status(thm)],[c21,c29]) ).

cnf(c31,plain,
    mult(ld(mult(X4,X3),mult(X4,mult(X4,X3))),ld(mult(X4,X3),mult(X4,mult(X3,X)))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X,ld(X3,mult(X4,X3)))))),
    inference(substitution,[status(thm)],[c30]) ).

cnf(c32,plain,
    ld(X,mult(X3,X)) = X3,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c33,plain,
    mult(X,ld(X3,mult(X4,X3))) = mult(X,X4),
    inference(congruence,[status(thm)],[c32]) ).

cnf(c34,plain,
    mult(X3,mult(X,ld(X3,mult(X4,X3)))) = mult(X3,mult(X,X4)),
    inference(congruence,[status(thm)],[c33]) ).

cnf(c35,plain,
    mult(X4,mult(X3,mult(X,ld(X3,mult(X4,X3))))) = mult(X4,mult(X3,mult(X,X4))),
    inference(congruence,[status(thm)],[c34]) ).

cnf(c36,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X,ld(X3,mult(X4,X3)))))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X,X4)))),
    inference(congruence,[status(thm)],[c35]) ).

cnf(c37,plain,
    mult(X,X3) = mult(X3,X),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c38,plain,
    mult(X3,mult(X,X4)) = mult(X3,mult(X4,X)),
    inference(congruence,[status(thm)],[c37]) ).

cnf(c39,plain,
    mult(X4,mult(X3,mult(X,X4))) = mult(X4,mult(X3,mult(X4,X))),
    inference(congruence,[status(thm)],[c38]) ).

cnf(c40,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X,X4)))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,X)))),
    inference(congruence,[status(thm)],[c39]) ).

cnf(c41,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X,ld(X3,mult(X4,X3)))))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,X)))),
    inference(transitivity,[status(thm)],[c36,c40]) ).

cnf(c42,plain,
    mult(ld(mult(X4,X3),mult(X4,mult(X4,X3))),ld(mult(X4,X3),mult(X4,mult(X3,X)))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,X)))),
    inference(transitivity,[status(thm)],[c31,c41]) ).

cnf(c43,plain,
    mult(X4,ld(mult(X4,X3),mult(X4,mult(X3,X)))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,X)))),
    inference(transitivity,[status(thm)],[c15,c42]) ).

cnf(c44,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,X)))) = mult(X4,ld(mult(X4,X3),mult(X4,mult(X3,X)))),
    inference(symmetry,[status(thm)],[c43]) ).

cnf(c45,plain,
    ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,X))))) = ld(X4,mult(X4,ld(mult(X4,X3),mult(X4,mult(X3,X))))),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,plain,
    ld(X4,mult(X4,ld(mult(X4,X3),mult(X4,mult(X3,X))))) = ld(mult(X4,X3),mult(X4,mult(X3,X))),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c47,plain,
    ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,X))))) = ld(mult(X4,X3),mult(X4,mult(X3,X))),
    inference(transitivity,[status(thm)],[c45,c46]) ).

cnf(c48,plain,
    ld(X3,ld(mult(X3,X),mult(X3,mult(X,mult(X3,X))))) = ld(mult(X3,X),mult(X3,mult(X,X))),
    inference(substitution,[status(thm)],[c47]) ).

cnf(c49,plain,
    ld(mult(X3,X),mult(X3,mult(X,X))) = ld(X3,ld(mult(X3,X),mult(X3,mult(X,mult(X3,X))))),
    inference(symmetry,[status(thm)],[c48]) ).

cnf(c50,plain,
    ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X4,X)))))) = ld(mult(X4,X3),mult(X4,mult(X3,ld(X4,X)))),
    inference(substitution,[status(thm)],[c47]) ).

cnf(c51,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,ld(X4,X)))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X4,X)))))),
    inference(symmetry,[status(thm)],[c50]) ).

cnf(c52,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c53,plain,
    mult(X3,mult(X4,ld(X4,X))) = mult(X3,X),
    inference(congruence,[status(thm)],[c52]) ).

cnf(c54,plain,
    mult(X4,mult(X3,mult(X4,ld(X4,X)))) = mult(X4,mult(X3,X)),
    inference(congruence,[status(thm)],[c53]) ).

cnf(c55,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X4,X))))) = ld(mult(X4,X3),mult(X4,mult(X3,X))),
    inference(congruence,[status(thm)],[c54]) ).

cnf(c56,plain,
    ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X4,X)))))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,X)))),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,ld(X4,X)))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,X)))),
    inference(transitivity,[status(thm)],[c51,c56]) ).

cnf(c58,plain,
    ld(mult(X3,X),mult(X3,mult(X,ld(X3,mult(X3,X))))) = ld(X3,ld(mult(X3,X),mult(X3,mult(X,mult(X3,X))))),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c59,plain,
    ld(X3,ld(mult(X3,X),mult(X3,mult(X,mult(X3,X))))) = ld(mult(X3,X),mult(X3,mult(X,ld(X3,mult(X3,X))))),
    inference(symmetry,[status(thm)],[c58]) ).

cnf(c60,plain,
    mult(X,ld(X,mult(ld(mult(X3,X3),unit),mult(X3,ld(ld(mult(X3,X3),unit),X))))) = mult(ld(mult(X3,X3),unit),mult(X3,ld(ld(mult(X3,X3),unit),X))),
    inference(substitution,[status(thm)],[c16]) ).

cnf(c61,plain,
    mult(ld(mult(X3,X3),unit),mult(X3,ld(ld(mult(X3,X3),unit),X))) = mult(X,ld(X,mult(ld(mult(X3,X3),unit),mult(X3,ld(ld(mult(X3,X3),unit),X))))),
    inference(symmetry,[status(thm)],[c60]) ).

cnf(c62,plain,
    mult(ld(ld(mult(X,X),unit),X3),X) = mult(X,ld(ld(mult(X,X),unit),X3)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c63,plain,
    mult(X,ld(ld(mult(X,X),unit),X3)) = mult(ld(ld(mult(X,X),unit),X3),X),
    inference(symmetry,[status(thm)],[c62]) ).

cnf(c64,plain,
    mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))) = mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),X)),
    inference(congruence,[status(thm)],[c63]) ).

cnf(c65,plain,
    ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))) = ld(X3,mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),X))),
    inference(congruence,[status(thm)],[c64]) ).

cnf(c66,plain,
    mult(X,mult(X3,X3)) = mult(mult(X3,X3),X),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c67,plain,
    mult(mult(X3,X3),X) = mult(X,mult(X3,X3)),
    inference(symmetry,[status(thm)],[c66]) ).

cnf(c68,plain,
    mult(X3,mult(mult(X3,X3),X)) = mult(X3,mult(X,mult(X3,X3))),
    inference(congruence,[status(thm)],[c67]) ).

cnf(c69,plain,
    mult(X3,mult(X3,mult(mult(X3,X3),X))) = mult(X3,mult(X3,mult(X,mult(X3,X3)))),
    inference(congruence,[status(thm)],[c68]) ).

cnf(c70,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),X)))) = ld(mult(X3,X3),mult(X3,mult(X3,mult(X,mult(X3,X3))))),
    inference(congruence,[status(thm)],[c69]) ).

cnf(c71,plain,
    mult(mult(X3,X3),X) = mult(X,mult(X3,X3)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c72,plain,
    mult(X,mult(X3,X3)) = mult(mult(X3,X3),X),
    inference(symmetry,[status(thm)],[c71]) ).

cnf(c73,plain,
    mult(X3,mult(X,mult(X3,X3))) = mult(X3,mult(mult(X3,X3),X)),
    inference(congruence,[status(thm)],[c72]) ).

cnf(c74,plain,
    mult(X3,mult(X3,mult(X,mult(X3,X3)))) = mult(X3,mult(X3,mult(mult(X3,X3),X))),
    inference(congruence,[status(thm)],[c73]) ).

cnf(c75,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(X,mult(X3,X3))))) = ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),X)))),
    inference(congruence,[status(thm)],[c74]) ).

cnf(c76,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),X)))) = mult(ld(mult(X3,X3),mult(X3,mult(X3,mult(X3,X3)))),ld(mult(X3,X3),mult(X3,mult(X3,X)))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c77,plain,
    ld(mult(X,X),mult(X,mult(X,mult(X,X)))) = mult(ld(mult(X,X),mult(X,mult(X,X))),ld(mult(X,X),mult(X,mult(X,X)))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c78,axiom,
    ld(A2,mult(mult(B2,C2),A2)) = mult(ld(A2,mult(B2,A2)),ld(A2,mult(C2,A2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).

cnf(c79,plain,
    ld(mult(X,X),mult(mult(X,X),mult(X,X))) = mult(ld(mult(X,X),mult(X,mult(X,X))),ld(mult(X,X),mult(X,mult(X,X)))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c80,plain,
    mult(ld(mult(X,X),mult(X,mult(X,X))),ld(mult(X,X),mult(X,mult(X,X)))) = ld(mult(X,X),mult(mult(X,X),mult(X,X))),
    inference(symmetry,[status(thm)],[c79]) ).

cnf(c81,plain,
    ld(mult(X,X),mult(mult(X,X),mult(X,X))) = mult(X,X),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c82,plain,
    mult(ld(mult(X,X),mult(X,mult(X,X))),ld(mult(X,X),mult(X,mult(X,X)))) = mult(X,X),
    inference(transitivity,[status(thm)],[c80,c81]) ).

cnf(c83,plain,
    ld(mult(X,X),mult(X,mult(X,mult(X,X)))) = mult(X,X),
    inference(transitivity,[status(thm)],[c77,c82]) ).

cnf(c84,plain,
    mult(ld(mult(X3,X3),mult(X3,mult(X3,mult(X3,X3)))),ld(mult(X3,X3),mult(X3,mult(X3,X)))) = mult(mult(X3,X3),ld(mult(X3,X3),mult(X3,mult(X3,X)))),
    inference(congruence,[status(thm)],[c83]) ).

cnf(c85,plain,
    mult(mult(X3,X3),ld(mult(X3,X3),mult(X3,mult(X3,X)))) = mult(X3,mult(X3,X)),
    inference(substitution,[status(thm)],[c16]) ).

cnf(c86,plain,
    mult(ld(mult(X3,X3),mult(X3,mult(X3,mult(X3,X3)))),ld(mult(X3,X3),mult(X3,mult(X3,X)))) = mult(X3,mult(X3,X)),
    inference(transitivity,[status(thm)],[c84,c85]) ).

cnf(c87,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),X)))) = mult(X3,mult(X3,X)),
    inference(transitivity,[status(thm)],[c76,c86]) ).

cnf(c88,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(X,mult(X3,X3))))) = mult(X3,mult(X3,X)),
    inference(transitivity,[status(thm)],[c75,c87]) ).

cnf(c89,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),X)))) = mult(X3,mult(X3,X)),
    inference(transitivity,[status(thm)],[c70,c88]) ).

cnf(c90,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),ld(mult(X3,X3),X))))) = mult(X3,mult(X3,ld(mult(X3,X3),X))),
    inference(substitution,[status(thm)],[c89]) ).

cnf(c91,plain,
    mult(X3,mult(X3,ld(mult(X3,X3),X))) = ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),ld(mult(X3,X3),X))))),
    inference(symmetry,[status(thm)],[c90]) ).

cnf(c92,plain,
    mult(mult(X3,X3),ld(mult(X3,X3),X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c93,plain,
    mult(X3,mult(mult(X3,X3),ld(mult(X3,X3),X))) = mult(X3,X),
    inference(congruence,[status(thm)],[c92]) ).

cnf(c94,plain,
    mult(X3,mult(X3,mult(mult(X3,X3),ld(mult(X3,X3),X)))) = mult(X3,mult(X3,X)),
    inference(congruence,[status(thm)],[c93]) ).

cnf(c95,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(mult(X3,X3),ld(mult(X3,X3),X))))) = ld(mult(X3,X3),mult(X3,mult(X3,X))),
    inference(congruence,[status(thm)],[c94]) ).

cnf(c96,plain,
    mult(X3,mult(X3,ld(mult(X3,X3),X))) = ld(mult(X3,X3),mult(X3,mult(X3,X))),
    inference(transitivity,[status(thm)],[c91,c95]) ).

cnf(c97,plain,
    mult(X3,X) = mult(X,X3),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c98,plain,
    mult(X3,mult(X3,X)) = mult(X3,mult(X,X3)),
    inference(congruence,[status(thm)],[c97]) ).

cnf(c99,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,X))) = ld(mult(X3,X3),mult(X3,mult(X,X3))),
    inference(congruence,[status(thm)],[c98]) ).

cnf(c100,plain,
    mult(X3,mult(X3,ld(mult(X3,X3),X))) = ld(mult(X3,X3),mult(X3,mult(X,X3))),
    inference(transitivity,[status(thm)],[c96,c99]) ).

cnf(c101,plain,
    ld(mult(X3,X3),mult(X3,mult(X,X3))) = mult(X3,mult(X3,ld(mult(X3,X3),X))),
    inference(symmetry,[status(thm)],[c100]) ).

cnf(c102,plain,
    ld(X3,ld(mult(X3,X3),mult(X3,mult(X,X3)))) = ld(X3,mult(X3,mult(X3,ld(mult(X3,X3),X)))),
    inference(congruence,[status(thm)],[c101]) ).

cnf(c103,plain,
    ld(X3,mult(X3,mult(X3,ld(mult(X3,X3),X)))) = mult(X3,ld(mult(X3,X3),X)),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c104,plain,
    ld(X3,ld(mult(X3,X3),mult(X3,mult(X,X3)))) = mult(X3,ld(mult(X3,X3),X)),
    inference(transitivity,[status(thm)],[c102,c103]) ).

cnf(c105,plain,
    ld(X,ld(mult(X,X),mult(X,mult(unit,X)))) = mult(X,ld(mult(X,X),unit)),
    inference(substitution,[status(thm)],[c104]) ).

cnf(c106,plain,
    mult(X,ld(mult(X,X),unit)) = ld(X,ld(mult(X,X),mult(X,mult(unit,X)))),
    inference(symmetry,[status(thm)],[c105]) ).

cnf(c107,axiom,
    mult(unit,A2) = A2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(c108,plain,
    mult(unit,X) = X,
    inference(substitution,[status(thm)],[c107]) ).

cnf(c109,plain,
    mult(X,mult(unit,X)) = mult(X,X),
    inference(congruence,[status(thm)],[c108]) ).

cnf(c110,plain,
    ld(mult(X,X),mult(X,mult(unit,X))) = ld(mult(X,X),mult(X,X)),
    inference(congruence,[status(thm)],[c109]) ).

cnf(c111,plain,
    ld(X,ld(mult(X,X),mult(X,mult(unit,X)))) = ld(X,ld(mult(X,X),mult(X,X))),
    inference(congruence,[status(thm)],[c110]) ).

cnf(c112,axiom,
    mult(A2,unit) = A2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

cnf(c113,plain,
    mult(X,unit) = X,
    inference(substitution,[status(thm)],[c112]) ).

cnf(c114,plain,
    X = mult(X,unit),
    inference(symmetry,[status(thm)],[c113]) ).

cnf(c115,plain,
    ld(X,X) = ld(X,mult(X,unit)),
    inference(congruence,[status(thm)],[c114]) ).

cnf(c116,plain,
    ld(X,mult(X,unit)) = unit,
    inference(substitution,[status(thm)],[c8]) ).

cnf(c117,plain,
    ld(X,X) = unit,
    inference(transitivity,[status(thm)],[c115,c116]) ).

cnf(c118,plain,
    ld(mult(X,X),mult(X,X)) = unit,
    inference(substitution,[status(thm)],[c117]) ).

cnf(c119,plain,
    ld(X,ld(mult(X,X),mult(X,X))) = ld(X,unit),
    inference(congruence,[status(thm)],[c118]) ).

cnf(c120,plain,
    ld(X,mult(X,ld(mult(X,X),X))) = ld(mult(X,X),X),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c121,plain,
    ld(mult(X,X),X) = ld(X,mult(X,ld(mult(X,X),X))),
    inference(symmetry,[status(thm)],[c120]) ).

cnf(c122,plain,
    mult(X,unit) = X,
    inference(substitution,[status(thm)],[c112]) ).

cnf(c123,plain,
    X = mult(X,unit),
    inference(symmetry,[status(thm)],[c122]) ).

cnf(c124,plain,
    ld(mult(X,X),X) = ld(mult(X,X),mult(X,unit)),
    inference(congruence,[status(thm)],[c123]) ).

cnf(c125,plain,
    mult(X,ld(mult(X,X),X)) = mult(X,ld(mult(X,X),mult(X,unit))),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c127,plain,
    X = mult(X3,ld(X3,X)),
    inference(symmetry,[status(thm)],[c126]) ).

cnf(c128,plain,
    mult(X3,X) = mult(X3,mult(X3,ld(X3,X))),
    inference(congruence,[status(thm)],[c127]) ).

cnf(c129,plain,
    ld(mult(X3,X3),mult(X3,X)) = ld(mult(X3,X3),mult(X3,mult(X3,ld(X3,X)))),
    inference(congruence,[status(thm)],[c128]) ).

cnf(c130,plain,
    mult(X3,ld(mult(X3,X3),mult(X3,X))) = mult(X3,ld(mult(X3,X3),mult(X3,mult(X3,ld(X3,X))))),
    inference(congruence,[status(thm)],[c129]) ).

cnf(c131,plain,
    mult(X3,ld(mult(X3,X3),mult(X3,mult(X3,ld(X3,X))))) = ld(mult(X3,X3),mult(X3,mult(X3,mult(X3,ld(X3,X))))),
    inference(substitution,[status(thm)],[c43]) ).

cnf(c132,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c133,plain,
    mult(X3,mult(X3,ld(X3,X))) = mult(X3,X),
    inference(congruence,[status(thm)],[c132]) ).

cnf(c134,plain,
    mult(X3,mult(X3,mult(X3,ld(X3,X)))) = mult(X3,mult(X3,X)),
    inference(congruence,[status(thm)],[c133]) ).

cnf(c135,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,mult(X3,ld(X3,X))))) = ld(mult(X3,X3),mult(X3,mult(X3,X))),
    inference(congruence,[status(thm)],[c134]) ).

cnf(c136,plain,
    mult(X3,ld(mult(X3,X3),mult(X3,mult(X3,ld(X3,X))))) = ld(mult(X3,X3),mult(X3,mult(X3,X))),
    inference(transitivity,[status(thm)],[c131,c135]) ).

cnf(c137,plain,
    mult(X3,ld(mult(X3,X3),mult(X3,X))) = ld(mult(X3,X3),mult(X3,mult(X3,X))),
    inference(transitivity,[status(thm)],[c130,c136]) ).

cnf(c138,plain,
    mult(X,ld(mult(X,X),mult(X,unit))) = ld(mult(X,X),mult(X,mult(X,unit))),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c139,plain,
    mult(X,unit) = X,
    inference(substitution,[status(thm)],[c112]) ).

cnf(c140,plain,
    mult(X,mult(X,unit)) = mult(X,X),
    inference(congruence,[status(thm)],[c139]) ).

cnf(c141,plain,
    ld(mult(X,X),mult(X,mult(X,unit))) = ld(mult(X,X),mult(X,X)),
    inference(congruence,[status(thm)],[c140]) ).

cnf(c142,plain,
    ld(mult(X,X),mult(X,X)) = unit,
    inference(substitution,[status(thm)],[c117]) ).

cnf(c143,plain,
    ld(mult(X,X),mult(X,mult(X,unit))) = unit,
    inference(transitivity,[status(thm)],[c141,c142]) ).

cnf(c144,plain,
    mult(X,ld(mult(X,X),mult(X,unit))) = unit,
    inference(transitivity,[status(thm)],[c138,c143]) ).

cnf(c145,plain,
    mult(X,ld(mult(X,X),X)) = unit,
    inference(transitivity,[status(thm)],[c125,c144]) ).

cnf(c146,plain,
    ld(X,mult(X,ld(mult(X,X),X))) = ld(X,unit),
    inference(congruence,[status(thm)],[c145]) ).

cnf(c147,plain,
    ld(mult(X,X),X) = ld(X,unit),
    inference(transitivity,[status(thm)],[c121,c146]) ).

cnf(c148,plain,
    ld(X,unit) = ld(mult(X,X),X),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c149,plain,
    ld(X,ld(mult(X,X),mult(X,X))) = ld(mult(X,X),X),
    inference(transitivity,[status(thm)],[c119,c148]) ).

cnf(c150,plain,
    ld(X,ld(mult(X,X),mult(X,mult(unit,X)))) = ld(mult(X,X),X),
    inference(transitivity,[status(thm)],[c111,c149]) ).

cnf(c151,plain,
    mult(X,ld(mult(X,X),unit)) = ld(mult(X,X),X),
    inference(transitivity,[status(thm)],[c106,c150]) ).

cnf(c152,plain,
    ld(mult(X,X),X) = mult(X,ld(mult(X,X),unit)),
    inference(symmetry,[status(thm)],[c151]) ).

cnf(c153,plain,
    ld(ld(mult(X,X),unit),ld(mult(X,X),X)) = ld(ld(mult(X,X),unit),mult(X,ld(mult(X,X),unit))),
    inference(congruence,[status(thm)],[c152]) ).

cnf(c154,plain,
    ld(ld(mult(X,X),unit),mult(X,ld(mult(X,X),unit))) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c155,plain,
    ld(ld(mult(X,X),unit),ld(mult(X,X),X)) = X,
    inference(transitivity,[status(thm)],[c153,c154]) ).

cnf(c156,plain,
    X = ld(ld(mult(X,X),unit),ld(mult(X,X),X)),
    inference(symmetry,[status(thm)],[c155]) ).

cnf(c157,plain,
    mult(ld(ld(mult(X,X),unit),X3),X) = mult(ld(ld(mult(X,X),unit),X3),ld(ld(mult(X,X),unit),ld(mult(X,X),X))),
    inference(congruence,[status(thm)],[c156]) ).

cnf(c158,plain,
    mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),X)) = mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),ld(ld(mult(X,X),unit),ld(mult(X,X),X)))),
    inference(congruence,[status(thm)],[c157]) ).

cnf(c159,plain,
    ld(X3,mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),X))) = ld(X3,mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),ld(ld(mult(X,X),unit),ld(mult(X,X),X))))),
    inference(congruence,[status(thm)],[c158]) ).

cnf(c160,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c161,plain,
    X = mult(X3,ld(X3,X)),
    inference(symmetry,[status(thm)],[c160]) ).

cnf(c162,plain,
    ld(X3,mult(X4,mult(ld(X4,X3),ld(X4,X)))) = ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),ld(X4,X)))),
    inference(congruence,[status(thm)],[c161]) ).

cnf(c163,plain,
    ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),ld(X4,X)))) = ld(X4,ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X)))),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c164,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c165,plain,
    ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X))) = ld(X3,mult(X4,mult(ld(X4,X3),X))),
    inference(congruence,[status(thm)],[c164]) ).

cnf(c166,plain,
    ld(X4,ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X)))) = ld(X4,ld(X3,mult(X4,mult(ld(X4,X3),X)))),
    inference(congruence,[status(thm)],[c165]) ).

cnf(c167,plain,
    mult(ld(X4,X3),X) = mult(X,ld(X4,X3)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c168,plain,
    mult(X4,mult(ld(X4,X3),X)) = mult(X4,mult(X,ld(X4,X3))),
    inference(congruence,[status(thm)],[c167]) ).

cnf(c169,plain,
    ld(X3,mult(X4,mult(ld(X4,X3),X))) = ld(X3,mult(X4,mult(X,ld(X4,X3)))),
    inference(congruence,[status(thm)],[c168]) ).

cnf(c170,plain,
    ld(X4,ld(X3,mult(X4,mult(ld(X4,X3),X)))) = ld(X4,ld(X3,mult(X4,mult(X,ld(X4,X3))))),
    inference(congruence,[status(thm)],[c169]) ).

cnf(c171,plain,
    ld(X4,ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X)))) = ld(X4,ld(X3,mult(X4,mult(X,ld(X4,X3))))),
    inference(transitivity,[status(thm)],[c166,c170]) ).

cnf(c172,plain,
    ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),ld(X4,X)))) = ld(X4,ld(X3,mult(X4,mult(X,ld(X4,X3))))),
    inference(transitivity,[status(thm)],[c163,c171]) ).

cnf(c173,plain,
    ld(X3,mult(X4,mult(ld(X4,X3),ld(X4,X)))) = ld(X4,ld(X3,mult(X4,mult(X,ld(X4,X3))))),
    inference(transitivity,[status(thm)],[c162,c172]) ).

cnf(c174,plain,
    ld(X3,mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),ld(ld(mult(X,X),unit),ld(mult(X,X),X))))) = ld(ld(mult(X,X),unit),ld(X3,mult(ld(mult(X,X),unit),mult(ld(mult(X,X),X),ld(ld(mult(X,X),unit),X3))))),
    inference(substitution,[status(thm)],[c173]) ).

cnf(c175,plain,
    ld(mult(X,X),X) = mult(X,ld(mult(X,X),unit)),
    inference(symmetry,[status(thm)],[c151]) ).

cnf(c176,plain,
    ld(X,ld(mult(X,X),X)) = ld(X,mult(X,ld(mult(X,X),unit))),
    inference(congruence,[status(thm)],[c175]) ).

cnf(c177,plain,
    ld(X,mult(X,ld(mult(X,X),unit))) = ld(mult(X,X),unit),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c178,plain,
    ld(X,ld(mult(X,X),X)) = ld(mult(X,X),unit),
    inference(transitivity,[status(thm)],[c176,c177]) ).

cnf(c179,plain,
    ld(mult(X,X),unit) = ld(X,ld(mult(X,X),X)),
    inference(symmetry,[status(thm)],[c178]) ).

cnf(c180,plain,
    ld(ld(mult(X3,X3),unit),X) = ld(ld(X3,ld(mult(X3,X3),X3)),X),
    inference(congruence,[status(thm)],[c179]) ).

cnf(c181,plain,
    mult(ld(mult(X3,X3),X3),ld(ld(mult(X3,X3),unit),X)) = mult(ld(mult(X3,X3),X3),ld(ld(X3,ld(mult(X3,X3),X3)),X)),
    inference(congruence,[status(thm)],[c180]) ).

cnf(c182,plain,
    ld(X,ld(mult(X,X),X)) = ld(X,ld(X,unit)),
    inference(congruence,[status(thm)],[c147]) ).

cnf(c183,plain,
    ld(ld(X3,ld(mult(X3,X3),X3)),X) = ld(ld(X3,ld(X3,unit)),X),
    inference(congruence,[status(thm)],[c182]) ).

cnf(c184,plain,
    mult(ld(mult(X3,X3),X3),ld(ld(X3,ld(mult(X3,X3),X3)),X)) = mult(ld(mult(X3,X3),X3),ld(ld(X3,ld(X3,unit)),X)),
    inference(congruence,[status(thm)],[c183]) ).

cnf(c185,plain,
    mult(ld(mult(X3,X3),X3),ld(ld(X3,ld(X3,unit)),X)) = mult(ld(X3,unit),ld(ld(X3,ld(X3,unit)),X)),
    inference(congruence,[status(thm)],[c147]) ).

cnf(c186,plain,
    ld(X,unit) = ld(mult(X,X),X),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c187,plain,
    ld(ld(X,unit),X) = ld(ld(mult(X,X),X),X),
    inference(congruence,[status(thm)],[c186]) ).

cnf(c188,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c189,plain,
    X = mult(X3,ld(X3,X)),
    inference(symmetry,[status(thm)],[c188]) ).

cnf(c190,plain,
    ld(ld(X3,X),X) = ld(ld(X3,X),mult(X3,ld(X3,X))),
    inference(congruence,[status(thm)],[c189]) ).

cnf(c191,plain,
    ld(ld(X3,X),mult(X3,ld(X3,X))) = X3,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c192,plain,
    ld(ld(X3,X),X) = X3,
    inference(transitivity,[status(thm)],[c190,c191]) ).

cnf(c193,plain,
    ld(ld(mult(X,X),X),X) = mult(X,X),
    inference(substitution,[status(thm)],[c192]) ).

cnf(c194,plain,
    ld(ld(X,unit),X) = mult(X,X),
    inference(transitivity,[status(thm)],[c187,c193]) ).

cnf(c195,plain,
    ld(ld(ld(X,unit),unit),ld(X,unit)) = mult(ld(X,unit),ld(X,unit)),
    inference(substitution,[status(thm)],[c194]) ).

cnf(c196,plain,
    mult(ld(X,unit),ld(X,unit)) = ld(ld(ld(X,unit),unit),ld(X,unit)),
    inference(symmetry,[status(thm)],[c195]) ).

cnf(c197,plain,
    ld(ld(X,unit),unit) = X,
    inference(substitution,[status(thm)],[c192]) ).

cnf(c198,plain,
    ld(ld(ld(X,unit),unit),ld(X,unit)) = ld(X,ld(X,unit)),
    inference(congruence,[status(thm)],[c197]) ).

cnf(c199,plain,
    mult(ld(X,unit),ld(X,unit)) = ld(X,ld(X,unit)),
    inference(transitivity,[status(thm)],[c196,c198]) ).

cnf(c200,plain,
    ld(X,ld(X,unit)) = mult(ld(X,unit),ld(X,unit)),
    inference(symmetry,[status(thm)],[c199]) ).

cnf(c201,plain,
    ld(ld(X3,ld(X3,unit)),X) = ld(mult(ld(X3,unit),ld(X3,unit)),X),
    inference(congruence,[status(thm)],[c200]) ).

cnf(c202,plain,
    mult(ld(X3,unit),ld(ld(X3,ld(X3,unit)),X)) = mult(ld(X3,unit),ld(mult(ld(X3,unit),ld(X3,unit)),X)),
    inference(congruence,[status(thm)],[c201]) ).

cnf(c203,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c204,plain,
    X = mult(X3,ld(X3,X)),
    inference(symmetry,[status(thm)],[c203]) ).

cnf(c205,plain,
    ld(mult(X3,X3),X) = ld(mult(X3,X3),mult(X3,ld(X3,X))),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c206,plain,
    mult(X3,ld(mult(X3,X3),X)) = mult(X3,ld(mult(X3,X3),mult(X3,ld(X3,X)))),
    inference(congruence,[status(thm)],[c205]) ).

cnf(c207,plain,
    mult(X3,ld(mult(X3,X3),mult(X3,ld(X3,X)))) = ld(mult(X3,X3),mult(X3,mult(X3,ld(X3,X)))),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c208,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c209,plain,
    mult(X3,mult(X3,ld(X3,X))) = mult(X3,X),
    inference(congruence,[status(thm)],[c208]) ).

cnf(c210,plain,
    ld(mult(X3,X3),mult(X3,mult(X3,ld(X3,X)))) = ld(mult(X3,X3),mult(X3,X)),
    inference(congruence,[status(thm)],[c209]) ).

cnf(c211,plain,
    mult(X3,ld(mult(X3,X3),mult(X3,ld(X3,X)))) = ld(mult(X3,X3),mult(X3,X)),
    inference(transitivity,[status(thm)],[c207,c210]) ).

cnf(c212,plain,
    mult(X3,ld(mult(X3,X3),X)) = ld(mult(X3,X3),mult(X3,X)),
    inference(transitivity,[status(thm)],[c206,c211]) ).

cnf(c213,plain,
    mult(ld(X3,unit),ld(mult(ld(X3,unit),ld(X3,unit)),X)) = ld(mult(ld(X3,unit),ld(X3,unit)),mult(ld(X3,unit),X)),
    inference(substitution,[status(thm)],[c212]) ).

cnf(c214,plain,
    ld(mult(ld(X3,unit),ld(X3,unit)),mult(ld(X3,unit),X)) = ld(ld(X3,ld(X3,unit)),mult(ld(X3,unit),X)),
    inference(congruence,[status(thm)],[c199]) ).

cnf(c215,plain,
    mult(ld(X3,unit),X) = mult(X,ld(X3,unit)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c216,plain,
    ld(ld(X3,ld(X3,unit)),mult(ld(X3,unit),X)) = ld(ld(X3,ld(X3,unit)),mult(X,ld(X3,unit))),
    inference(congruence,[status(thm)],[c215]) ).

cnf(c217,plain,
    ld(mult(ld(X3,unit),ld(X3,unit)),mult(ld(X3,unit),X)) = ld(ld(X3,ld(X3,unit)),mult(X,ld(X3,unit))),
    inference(transitivity,[status(thm)],[c214,c216]) ).

cnf(c218,plain,
    mult(ld(X3,unit),ld(mult(ld(X3,unit),ld(X3,unit)),X)) = ld(ld(X3,ld(X3,unit)),mult(X,ld(X3,unit))),
    inference(transitivity,[status(thm)],[c213,c217]) ).

cnf(c219,plain,
    mult(ld(X3,unit),ld(ld(X3,ld(X3,unit)),X)) = ld(ld(X3,ld(X3,unit)),mult(X,ld(X3,unit))),
    inference(transitivity,[status(thm)],[c202,c218]) ).

cnf(c220,plain,
    ld(X,unit) = ld(mult(X,X),X),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c221,plain,
    ld(X,ld(X,unit)) = ld(X,ld(mult(X,X),X)),
    inference(congruence,[status(thm)],[c220]) ).

cnf(c222,plain,
    ld(ld(X3,ld(X3,unit)),mult(X,ld(X3,unit))) = ld(ld(X3,ld(mult(X3,X3),X3)),mult(X,ld(X3,unit))),
    inference(congruence,[status(thm)],[c221]) ).

cnf(c223,plain,
    ld(X,unit) = ld(mult(X,X),X),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c224,plain,
    mult(X,ld(X3,unit)) = mult(X,ld(mult(X3,X3),X3)),
    inference(congruence,[status(thm)],[c223]) ).

cnf(c225,plain,
    ld(ld(X3,ld(mult(X3,X3),X3)),mult(X,ld(X3,unit))) = ld(ld(X3,ld(mult(X3,X3),X3)),mult(X,ld(mult(X3,X3),X3))),
    inference(congruence,[status(thm)],[c224]) ).

cnf(c226,plain,
    ld(ld(X3,ld(mult(X3,X3),X3)),mult(X,ld(mult(X3,X3),X3))) = ld(ld(mult(X3,X3),unit),mult(X,ld(mult(X3,X3),X3))),
    inference(congruence,[status(thm)],[c178]) ).

cnf(c227,plain,
    ld(ld(X3,ld(mult(X3,X3),X3)),mult(X,ld(X3,unit))) = ld(ld(mult(X3,X3),unit),mult(X,ld(mult(X3,X3),X3))),
    inference(transitivity,[status(thm)],[c225,c226]) ).

cnf(c228,plain,
    ld(ld(X3,ld(X3,unit)),mult(X,ld(X3,unit))) = ld(ld(mult(X3,X3),unit),mult(X,ld(mult(X3,X3),X3))),
    inference(transitivity,[status(thm)],[c222,c227]) ).

cnf(c229,plain,
    mult(ld(X3,unit),ld(ld(X3,ld(X3,unit)),X)) = ld(ld(mult(X3,X3),unit),mult(X,ld(mult(X3,X3),X3))),
    inference(transitivity,[status(thm)],[c219,c228]) ).

cnf(c230,plain,
    mult(ld(mult(X3,X3),X3),ld(ld(X3,ld(X3,unit)),X)) = ld(ld(mult(X3,X3),unit),mult(X,ld(mult(X3,X3),X3))),
    inference(transitivity,[status(thm)],[c185,c229]) ).

cnf(c231,plain,
    mult(ld(mult(X3,X3),X3),ld(ld(X3,ld(mult(X3,X3),X3)),X)) = ld(ld(mult(X3,X3),unit),mult(X,ld(mult(X3,X3),X3))),
    inference(transitivity,[status(thm)],[c184,c230]) ).

cnf(c232,plain,
    mult(ld(mult(X3,X3),X3),ld(ld(mult(X3,X3),unit),X)) = ld(ld(mult(X3,X3),unit),mult(X,ld(mult(X3,X3),X3))),
    inference(transitivity,[status(thm)],[c181,c231]) ).

cnf(c233,plain,
    mult(ld(mult(X,X),X),ld(ld(mult(X,X),unit),X3)) = ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X))),
    inference(substitution,[status(thm)],[c232]) ).

cnf(c234,plain,
    mult(ld(mult(X,X),unit),mult(ld(mult(X,X),X),ld(ld(mult(X,X),unit),X3))) = mult(ld(mult(X,X),unit),ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X)))),
    inference(congruence,[status(thm)],[c233]) ).

cnf(c235,plain,
    ld(X3,mult(ld(mult(X,X),unit),mult(ld(mult(X,X),X),ld(ld(mult(X,X),unit),X3)))) = ld(X3,mult(ld(mult(X,X),unit),ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X))))),
    inference(congruence,[status(thm)],[c234]) ).

cnf(c236,plain,
    ld(ld(mult(X,X),unit),ld(X3,mult(ld(mult(X,X),unit),mult(ld(mult(X,X),X),ld(ld(mult(X,X),unit),X3))))) = ld(ld(mult(X,X),unit),ld(X3,mult(ld(mult(X,X),unit),ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X)))))),
    inference(congruence,[status(thm)],[c235]) ).

cnf(c237,plain,
    mult(ld(mult(X,X),unit),ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X)))) = mult(X3,ld(mult(X,X),X)),
    inference(substitution,[status(thm)],[c16]) ).

cnf(c238,plain,
    ld(X3,mult(ld(mult(X,X),unit),ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X))))) = ld(X3,mult(X3,ld(mult(X,X),X))),
    inference(congruence,[status(thm)],[c237]) ).

cnf(c239,plain,
    ld(ld(mult(X,X),unit),ld(X3,mult(ld(mult(X,X),unit),ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X)))))) = ld(ld(mult(X,X),unit),ld(X3,mult(X3,ld(mult(X,X),X)))),
    inference(congruence,[status(thm)],[c238]) ).

cnf(c240,plain,
    ld(X3,mult(X3,ld(mult(X,X),X))) = ld(mult(X,X),X),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c241,plain,
    ld(ld(mult(X,X),unit),ld(X3,mult(X3,ld(mult(X,X),X)))) = ld(ld(mult(X,X),unit),ld(mult(X,X),X)),
    inference(congruence,[status(thm)],[c240]) ).

cnf(c242,plain,
    ld(ld(mult(X,X),unit),ld(X3,mult(X3,ld(mult(X,X),X)))) = X,
    inference(transitivity,[status(thm)],[c241,c155]) ).

cnf(c243,plain,
    ld(ld(mult(X,X),unit),ld(X3,mult(ld(mult(X,X),unit),ld(ld(mult(X,X),unit),mult(X3,ld(mult(X,X),X)))))) = X,
    inference(transitivity,[status(thm)],[c239,c242]) ).

cnf(c244,plain,
    ld(ld(mult(X,X),unit),ld(X3,mult(ld(mult(X,X),unit),mult(ld(mult(X,X),X),ld(ld(mult(X,X),unit),X3))))) = X,
    inference(transitivity,[status(thm)],[c236,c243]) ).

cnf(c245,plain,
    ld(X3,mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),ld(ld(mult(X,X),unit),ld(mult(X,X),X))))) = X,
    inference(transitivity,[status(thm)],[c174,c244]) ).

cnf(c246,plain,
    ld(X3,mult(ld(mult(X,X),unit),mult(ld(ld(mult(X,X),unit),X3),X))) = X,
    inference(transitivity,[status(thm)],[c159,c245]) ).

cnf(c247,plain,
    ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))) = X,
    inference(transitivity,[status(thm)],[c65,c246]) ).

cnf(c248,plain,
    ld(X,mult(ld(mult(X3,X3),unit),mult(X3,ld(ld(mult(X3,X3),unit),X)))) = X3,
    inference(substitution,[status(thm)],[c247]) ).

cnf(c249,plain,
    mult(X,ld(X,mult(ld(mult(X3,X3),unit),mult(X3,ld(ld(mult(X3,X3),unit),X))))) = mult(X,X3),
    inference(congruence,[status(thm)],[c248]) ).

cnf(c250,plain,
    mult(ld(mult(X3,X3),unit),mult(X3,ld(ld(mult(X3,X3),unit),X))) = mult(X,X3),
    inference(transitivity,[status(thm)],[c61,c249]) ).

cnf(c251,plain,
    mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))) = mult(X3,X),
    inference(substitution,[status(thm)],[c250]) ).

cnf(c252,plain,
    mult(X3,X) = mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),
    inference(symmetry,[status(thm)],[c251]) ).

cnf(c253,plain,
    ld(X3,mult(X3,X)) = ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))),
    inference(congruence,[status(thm)],[c252]) ).

cnf(c254,plain,
    mult(X,ld(X3,mult(X3,X))) = mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))),
    inference(congruence,[status(thm)],[c253]) ).

cnf(c255,plain,
    mult(X3,mult(X,ld(X3,mult(X3,X)))) = mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))))),
    inference(congruence,[status(thm)],[c254]) ).

cnf(c256,plain,
    ld(mult(X3,X),mult(X3,mult(X,ld(X3,mult(X3,X))))) = ld(mult(X3,X),mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))),
    inference(congruence,[status(thm)],[c255]) ).

cnf(c257,plain,
    mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))) = mult(X3,X),
    inference(substitution,[status(thm)],[c250]) ).

cnf(c258,plain,
    mult(X3,X) = mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),
    inference(symmetry,[status(thm)],[c257]) ).

cnf(c259,plain,
    ld(mult(X3,X),mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))) = ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))),
    inference(congruence,[status(thm)],[c258]) ).

cnf(c260,plain,
    X = ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))),
    inference(symmetry,[status(thm)],[c247]) ).

cnf(c261,plain,
    mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))) = mult(ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))),ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))),
    inference(congruence,[status(thm)],[c260]) ).

cnf(c262,plain,
    mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))))) = mult(X3,mult(ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))),ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))))),
    inference(congruence,[status(thm)],[c261]) ).

cnf(c263,plain,
    ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))) = ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),mult(X3,mult(ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))),ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))),
    inference(congruence,[status(thm)],[c262]) ).

cnf(c264,plain,
    ld(X3,mult(X,mult(ld(X,X3),ld(X,X3)))) = ld(X,ld(X3,mult(X,mult(X3,ld(X,X3))))),
    inference(substitution,[status(thm)],[c173]) ).

cnf(c265,plain,
    mult(X3,X) = mult(X,X3),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c266,plain,
    mult(X,X3) = mult(X3,X),
    inference(symmetry,[status(thm)],[c265]) ).

cnf(c267,plain,
    mult(ld(X3,unit),mult(X,X3)) = mult(ld(X3,unit),mult(X3,X)),
    inference(congruence,[status(thm)],[c266]) ).

cnf(c268,plain,
    ld(X3,mult(X3,mult(ld(X3,unit),mult(X3,X)))) = mult(ld(X3,unit),mult(X3,X)),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c269,plain,
    mult(ld(X3,unit),mult(X3,X)) = ld(X3,mult(X3,mult(ld(X3,unit),mult(X3,X)))),
    inference(symmetry,[status(thm)],[c268]) ).

cnf(c270,plain,
    mult(unit,X) = X,
    inference(substitution,[status(thm)],[c107]) ).

cnf(c271,plain,
    X = mult(unit,X),
    inference(symmetry,[status(thm)],[c270]) ).

cnf(c272,plain,
    ld(unit,X) = ld(unit,mult(unit,X)),
    inference(congruence,[status(thm)],[c271]) ).

cnf(c273,plain,
    ld(unit,mult(unit,X)) = X,
    inference(substitution,[status(thm)],[c8]) ).

cnf(c274,plain,
    ld(unit,X) = X,
    inference(transitivity,[status(thm)],[c272,c273]) ).

cnf(c275,plain,
    ld(unit,mult(X3,mult(ld(X3,unit),mult(X3,X)))) = mult(X3,mult(ld(X3,unit),mult(X3,X))),
    inference(substitution,[status(thm)],[c274]) ).

cnf(c276,plain,
    mult(X3,mult(ld(X3,unit),mult(X3,X))) = ld(unit,mult(X3,mult(ld(X3,unit),mult(X3,X)))),
    inference(symmetry,[status(thm)],[c275]) ).

cnf(c277,plain,
    mult(ld(X4,X3),X) = mult(X,ld(X4,X3)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c278,plain,
    mult(X,ld(X4,X3)) = mult(ld(X4,X3),X),
    inference(symmetry,[status(thm)],[c277]) ).

cnf(c279,plain,
    mult(X4,mult(X,ld(X4,X3))) = mult(X4,mult(ld(X4,X3),X)),
    inference(congruence,[status(thm)],[c278]) ).

cnf(c280,plain,
    ld(X3,mult(X4,mult(X,ld(X4,X3)))) = ld(X3,mult(X4,mult(ld(X4,X3),X))),
    inference(congruence,[status(thm)],[c279]) ).

cnf(c281,plain,
    mult(X4,ld(X3,mult(X4,mult(X,ld(X4,X3))))) = mult(X4,ld(X3,mult(X4,mult(ld(X4,X3),X)))),
    inference(congruence,[status(thm)],[c280]) ).

cnf(c282,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c283,plain,
    X = mult(X3,ld(X3,X)),
    inference(symmetry,[status(thm)],[c282]) ).

cnf(c284,plain,
    ld(X3,mult(X4,mult(ld(X4,X3),X))) = ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X))),
    inference(congruence,[status(thm)],[c283]) ).

cnf(c285,plain,
    mult(X4,ld(X3,mult(X4,mult(ld(X4,X3),X)))) = mult(X4,ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X)))),
    inference(congruence,[status(thm)],[c284]) ).

cnf(c286,plain,
    mult(X4,ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X)))) = ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),mult(X4,X)))),
    inference(substitution,[status(thm)],[c43]) ).

cnf(c287,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c288,plain,
    ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),mult(X4,X)))) = ld(X3,mult(X4,mult(ld(X4,X3),mult(X4,X)))),
    inference(congruence,[status(thm)],[c287]) ).

cnf(c289,plain,
    mult(X4,ld(mult(X4,ld(X4,X3)),mult(X4,mult(ld(X4,X3),X)))) = ld(X3,mult(X4,mult(ld(X4,X3),mult(X4,X)))),
    inference(transitivity,[status(thm)],[c286,c288]) ).

cnf(c290,plain,
    mult(X4,ld(X3,mult(X4,mult(ld(X4,X3),X)))) = ld(X3,mult(X4,mult(ld(X4,X3),mult(X4,X)))),
    inference(transitivity,[status(thm)],[c285,c289]) ).

cnf(c291,plain,
    mult(X4,ld(X3,mult(X4,mult(X,ld(X4,X3))))) = ld(X3,mult(X4,mult(ld(X4,X3),mult(X4,X)))),
    inference(transitivity,[status(thm)],[c281,c290]) ).

cnf(c292,plain,
    mult(X3,ld(unit,mult(X3,mult(X,ld(X3,unit))))) = ld(unit,mult(X3,mult(ld(X3,unit),mult(X3,X)))),
    inference(substitution,[status(thm)],[c291]) ).

cnf(c293,plain,
    ld(unit,mult(X3,mult(ld(X3,unit),mult(X3,X)))) = mult(X3,ld(unit,mult(X3,mult(X,ld(X3,unit))))),
    inference(symmetry,[status(thm)],[c292]) ).

cnf(c294,plain,
    ld(unit,mult(X3,mult(X,ld(X3,unit)))) = mult(X3,mult(X,ld(X3,unit))),
    inference(substitution,[status(thm)],[c274]) ).

cnf(c295,plain,
    mult(X3,ld(unit,mult(X3,mult(X,ld(X3,unit))))) = mult(X3,mult(X3,mult(X,ld(X3,unit)))),
    inference(congruence,[status(thm)],[c294]) ).

cnf(c296,plain,
    ld(unit,mult(X3,mult(ld(X3,unit),mult(X3,X)))) = mult(X3,mult(X3,mult(X,ld(X3,unit)))),
    inference(transitivity,[status(thm)],[c293,c295]) ).

cnf(c297,plain,
    mult(X3,mult(ld(X3,unit),mult(X3,X))) = mult(X3,mult(X3,mult(X,ld(X3,unit)))),
    inference(transitivity,[status(thm)],[c276,c296]) ).

cnf(c298,plain,
    ld(X3,mult(X3,mult(ld(X3,unit),mult(X3,X)))) = ld(X3,mult(X3,mult(X3,mult(X,ld(X3,unit))))),
    inference(congruence,[status(thm)],[c297]) ).

cnf(c299,plain,
    ld(X3,mult(X3,mult(X3,mult(X,ld(X3,unit))))) = mult(X3,mult(X,ld(X3,unit))),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c300,plain,
    ld(X3,mult(X3,mult(ld(X3,unit),mult(X3,X)))) = mult(X3,mult(X,ld(X3,unit))),
    inference(transitivity,[status(thm)],[c298,c299]) ).

cnf(c301,plain,
    mult(ld(X3,unit),mult(X3,X)) = mult(X3,mult(X,ld(X3,unit))),
    inference(transitivity,[status(thm)],[c269,c300]) ).

cnf(c302,plain,
    mult(ld(X3,unit),mult(X,X3)) = mult(X3,mult(X,ld(X3,unit))),
    inference(transitivity,[status(thm)],[c267,c301]) ).

cnf(c303,plain,
    mult(ld(ld(X3,X),unit),mult(X3,ld(X3,X))) = mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit))),
    inference(substitution,[status(thm)],[c302]) ).

cnf(c304,plain,
    mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit))) = mult(ld(ld(X3,X),unit),mult(X3,ld(X3,X))),
    inference(symmetry,[status(thm)],[c303]) ).

cnf(c305,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c306,plain,
    mult(ld(ld(X3,X),unit),mult(X3,ld(X3,X))) = mult(ld(ld(X3,X),unit),X),
    inference(congruence,[status(thm)],[c305]) ).

cnf(c307,plain,
    mult(ld(ld(X3,X),unit),X) = mult(X,ld(ld(X3,X),unit)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c308,plain,
    mult(ld(ld(X3,X),unit),mult(X3,ld(X3,X))) = mult(X,ld(ld(X3,X),unit)),
    inference(transitivity,[status(thm)],[c306,c307]) ).

cnf(c309,plain,
    mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit))) = mult(X,ld(ld(X3,X),unit)),
    inference(transitivity,[status(thm)],[c304,c308]) ).

cnf(c310,plain,
    mult(X,ld(ld(X3,X),unit)) = mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit))),
    inference(symmetry,[status(thm)],[c309]) ).

cnf(c311,plain,
    mult(X3,mult(X,ld(ld(X3,X),unit))) = mult(X3,mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit)))),
    inference(congruence,[status(thm)],[c310]) ).

cnf(c312,plain,
    mult(X,unit) = X,
    inference(substitution,[status(thm)],[c112]) ).

cnf(c313,plain,
    X = mult(X,unit),
    inference(symmetry,[status(thm)],[c312]) ).

cnf(c314,plain,
    ld(mult(X3,X),X3) = ld(mult(X3,X),mult(X3,unit)),
    inference(congruence,[status(thm)],[c313]) ).

cnf(c315,plain,
    mult(X3,ld(mult(X3,X),X3)) = mult(X3,ld(mult(X3,X),mult(X3,unit))),
    inference(congruence,[status(thm)],[c314]) ).

cnf(c316,plain,
    mult(mult(X3,X),mult(X3,ld(mult(X3,X),X3))) = mult(mult(X3,X),mult(X3,ld(mult(X3,X),mult(X3,unit)))),
    inference(congruence,[status(thm)],[c315]) ).

cnf(c317,plain,
    mult(X4,ld(mult(X4,X3),mult(X4,mult(X3,ld(X3,X))))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X3,X))))),
    inference(substitution,[status(thm)],[c43]) ).

cnf(c318,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X3,X))))) = mult(X4,ld(mult(X4,X3),mult(X4,mult(X3,ld(X3,X))))),
    inference(symmetry,[status(thm)],[c317]) ).

cnf(c319,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c320,plain,
    mult(X4,mult(X3,ld(X3,X))) = mult(X4,X),
    inference(congruence,[status(thm)],[c319]) ).

cnf(c321,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,ld(X3,X)))) = ld(mult(X4,X3),mult(X4,X)),
    inference(congruence,[status(thm)],[c320]) ).

cnf(c322,plain,
    mult(X4,ld(mult(X4,X3),mult(X4,mult(X3,ld(X3,X))))) = mult(X4,ld(mult(X4,X3),mult(X4,X))),
    inference(congruence,[status(thm)],[c321]) ).

cnf(c323,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X3,X))))) = mult(X4,ld(mult(X4,X3),mult(X4,X))),
    inference(transitivity,[status(thm)],[c318,c322]) ).

cnf(c324,plain,
    mult(X4,ld(mult(X4,X3),mult(X4,X))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X3,X))))),
    inference(symmetry,[status(thm)],[c323]) ).

cnf(c325,plain,
    mult(mult(X4,X3),mult(X4,ld(mult(X4,X3),mult(X4,X)))) = mult(mult(X4,X3),ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X3,X)))))),
    inference(congruence,[status(thm)],[c324]) ).

cnf(c326,plain,
    mult(mult(X4,X3),ld(mult(X4,X3),mult(X4,mult(X3,mult(X4,ld(X3,X)))))) = mult(X4,mult(X3,mult(X4,ld(X3,X)))),
    inference(substitution,[status(thm)],[c16]) ).

cnf(c327,plain,
    mult(mult(X4,X3),mult(X4,ld(mult(X4,X3),mult(X4,X)))) = mult(X4,mult(X3,mult(X4,ld(X3,X)))),
    inference(transitivity,[status(thm)],[c325,c326]) ).

cnf(c328,plain,
    mult(mult(X3,X),mult(X3,ld(mult(X3,X),mult(X3,unit)))) = mult(X3,mult(X,mult(X3,ld(X,unit)))),
    inference(substitution,[status(thm)],[c327]) ).

cnf(c329,plain,
    mult(mult(X3,X),mult(X3,ld(mult(X3,X),X3))) = mult(X3,mult(X,mult(X3,ld(X,unit)))),
    inference(transitivity,[status(thm)],[c316,c328]) ).

cnf(c330,plain,
    mult(mult(X3,ld(X3,X)),mult(X3,ld(mult(X3,ld(X3,X)),X3))) = mult(X3,mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit)))),
    inference(substitution,[status(thm)],[c329]) ).

cnf(c331,plain,
    mult(X3,mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit)))) = mult(mult(X3,ld(X3,X)),mult(X3,ld(mult(X3,ld(X3,X)),X3))),
    inference(symmetry,[status(thm)],[c330]) ).

cnf(c332,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c333,plain,
    mult(mult(X3,ld(X3,X)),mult(X3,ld(mult(X3,ld(X3,X)),X3))) = mult(X,mult(X3,ld(mult(X3,ld(X3,X)),X3))),
    inference(congruence,[status(thm)],[c332]) ).

cnf(c334,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c335,plain,
    ld(mult(X3,ld(X3,X)),X3) = ld(X,X3),
    inference(congruence,[status(thm)],[c334]) ).

cnf(c336,plain,
    mult(X3,ld(mult(X3,ld(X3,X)),X3)) = mult(X3,ld(X,X3)),
    inference(congruence,[status(thm)],[c335]) ).

cnf(c337,plain,
    mult(X,mult(X3,ld(mult(X3,ld(X3,X)),X3))) = mult(X,mult(X3,ld(X,X3))),
    inference(congruence,[status(thm)],[c336]) ).

cnf(c338,plain,
    mult(mult(X3,ld(X3,X)),mult(X3,ld(mult(X3,ld(X3,X)),X3))) = mult(X,mult(X3,ld(X,X3))),
    inference(transitivity,[status(thm)],[c333,c337]) ).

cnf(c339,plain,
    mult(X3,mult(ld(X3,X),mult(X3,ld(ld(X3,X),unit)))) = mult(X,mult(X3,ld(X,X3))),
    inference(transitivity,[status(thm)],[c331,c338]) ).

cnf(c340,plain,
    mult(X3,mult(X,ld(ld(X3,X),unit))) = mult(X,mult(X3,ld(X,X3))),
    inference(transitivity,[status(thm)],[c311,c339]) ).

cnf(c341,plain,
    mult(X,mult(X3,ld(X,X3))) = mult(X3,mult(X,ld(ld(X3,X),unit))),
    inference(symmetry,[status(thm)],[c340]) ).

cnf(c342,plain,
    ld(X3,mult(X,mult(X3,ld(X,X3)))) = ld(X3,mult(X3,mult(X,ld(ld(X3,X),unit)))),
    inference(congruence,[status(thm)],[c341]) ).

cnf(c343,plain,
    ld(X3,mult(X3,mult(X,ld(ld(X3,X),unit)))) = mult(X,ld(ld(X3,X),unit)),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c344,plain,
    ld(X3,mult(X,mult(X3,ld(X,X3)))) = mult(X,ld(ld(X3,X),unit)),
    inference(transitivity,[status(thm)],[c342,c343]) ).

cnf(c345,plain,
    ld(X,ld(X3,mult(X,mult(X3,ld(X,X3))))) = ld(X,mult(X,ld(ld(X3,X),unit))),
    inference(congruence,[status(thm)],[c344]) ).

cnf(c346,plain,
    ld(X,mult(X,ld(ld(X3,X),unit))) = ld(ld(X3,X),unit),
    inference(substitution,[status(thm)],[c8]) ).

cnf(c347,plain,
    ld(X,ld(X3,mult(X,mult(X3,ld(X,X3))))) = ld(ld(X3,X),unit),
    inference(transitivity,[status(thm)],[c345,c346]) ).

cnf(c348,plain,
    ld(X3,mult(X,mult(ld(X,X3),ld(X,X3)))) = ld(ld(X3,X),unit),
    inference(transitivity,[status(thm)],[c264,c347]) ).

cnf(c349,plain,
    ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),mult(X3,mult(ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))),ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))) = ld(ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),X3),unit),
    inference(substitution,[status(thm)],[c348]) ).

cnf(c350,plain,
    mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))) = mult(X3,X),
    inference(substitution,[status(thm)],[c250]) ).

cnf(c351,plain,
    ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),X3) = ld(mult(X3,X),X3),
    inference(congruence,[status(thm)],[c350]) ).

cnf(c352,plain,
    ld(ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),X3),unit) = ld(ld(mult(X3,X),X3),unit),
    inference(congruence,[status(thm)],[c351]) ).

cnf(c353,plain,
    ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),mult(X3,mult(ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3)))),ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))) = ld(ld(mult(X3,X),X3),unit),
    inference(transitivity,[status(thm)],[c349,c352]) ).

cnf(c354,plain,
    ld(mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))),mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))) = ld(ld(mult(X3,X),X3),unit),
    inference(transitivity,[status(thm)],[c263,c353]) ).

cnf(c355,plain,
    ld(mult(X3,X),mult(X3,mult(X,ld(X3,mult(ld(mult(X,X),unit),mult(X,ld(ld(mult(X,X),unit),X3))))))) = ld(ld(mult(X3,X),X3),unit),
    inference(transitivity,[status(thm)],[c259,c354]) ).

cnf(c356,plain,
    ld(mult(X3,X),mult(X3,mult(X,ld(X3,mult(X3,X))))) = ld(ld(mult(X3,X),X3),unit),
    inference(transitivity,[status(thm)],[c256,c355]) ).

cnf(c357,plain,
    ld(X3,ld(mult(X3,X),mult(X3,mult(X,mult(X3,X))))) = ld(ld(mult(X3,X),X3),unit),
    inference(transitivity,[status(thm)],[c59,c356]) ).

cnf(c358,plain,
    ld(mult(X3,X),mult(X3,mult(X,X))) = ld(ld(mult(X3,X),X3),unit),
    inference(transitivity,[status(thm)],[c49,c357]) ).

cnf(c359,plain,
    ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit) = ld(ld(ld(mult(X3,X),X3),unit),unit),
    inference(congruence,[status(thm)],[c358]) ).

cnf(c360,plain,
    ld(ld(ld(mult(X3,X),X3),unit),unit) = ld(mult(X3,X),X3),
    inference(substitution,[status(thm)],[c192]) ).

cnf(c361,plain,
    ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit) = ld(mult(X3,X),X3),
    inference(transitivity,[status(thm)],[c359,c360]) ).

cnf(c362,plain,
    ld(mult(X3,X),X3) = ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit),
    inference(symmetry,[status(thm)],[c361]) ).

cnf(c363,plain,
    mult(mult(X3,mult(X,X)),ld(mult(X3,X),X3)) = mult(mult(X3,mult(X,X)),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit)),
    inference(congruence,[status(thm)],[c362]) ).

cnf(c364,plain,
    mult(ld(mult(X3,X),mult(X3,mult(X,X))),mult(mult(X3,X),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit))) = mult(mult(X3,mult(X,X)),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit)),
    inference(substitution,[status(thm)],[c309]) ).

cnf(c365,plain,
    mult(mult(X3,mult(X,X)),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit)) = mult(ld(mult(X3,X),mult(X3,mult(X,X))),mult(mult(X3,X),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit))),
    inference(symmetry,[status(thm)],[c364]) ).

cnf(c366,plain,
    mult(mult(X3,X),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit)) = mult(mult(X3,X),ld(mult(X3,X),X3)),
    inference(congruence,[status(thm)],[c361]) ).

cnf(c367,plain,
    mult(ld(mult(X3,X),mult(X3,mult(X,X))),mult(mult(X3,X),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit))) = mult(ld(mult(X3,X),mult(X3,mult(X,X))),mult(mult(X3,X),ld(mult(X3,X),X3))),
    inference(congruence,[status(thm)],[c366]) ).

cnf(c368,plain,
    mult(mult(X3,X),ld(mult(X3,X),X3)) = X3,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c369,plain,
    mult(ld(mult(X3,X),mult(X3,mult(X,X))),mult(mult(X3,X),ld(mult(X3,X),X3))) = mult(ld(mult(X3,X),mult(X3,mult(X,X))),X3),
    inference(congruence,[status(thm)],[c368]) ).

cnf(c370,plain,
    mult(ld(mult(X3,X),mult(X3,mult(X,X))),X3) = mult(X3,ld(mult(X3,X),mult(X3,mult(X,X)))),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c371,plain,
    mult(ld(mult(X3,X),mult(X3,mult(X,X))),mult(mult(X3,X),ld(mult(X3,X),X3))) = mult(X3,ld(mult(X3,X),mult(X3,mult(X,X)))),
    inference(transitivity,[status(thm)],[c369,c370]) ).

cnf(c372,plain,
    mult(ld(mult(X3,X),mult(X3,mult(X,X))),mult(mult(X3,X),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit))) = mult(X3,ld(mult(X3,X),mult(X3,mult(X,X)))),
    inference(transitivity,[status(thm)],[c367,c371]) ).

cnf(c373,plain,
    mult(mult(X3,mult(X,X)),ld(ld(mult(X3,X),mult(X3,mult(X,X))),unit)) = mult(X3,ld(mult(X3,X),mult(X3,mult(X,X)))),
    inference(transitivity,[status(thm)],[c365,c372]) ).

cnf(c374,plain,
    mult(mult(X3,mult(X,X)),ld(mult(X3,X),X3)) = mult(X3,ld(mult(X3,X),mult(X3,mult(X,X)))),
    inference(transitivity,[status(thm)],[c363,c373]) ).

cnf(c375,plain,
    mult(mult(mult(x0,x0),mult(x1,x1)),ld(mult(mult(x0,x0),x1),mult(x0,x0))) = mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1)))),
    inference(substitution,[status(thm)],[c374]) ).

cnf(c376,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(x0,x0)),mult(mult(mult(x0,x0),mult(x1,x1)),ld(mult(mult(x0,x0),x1),mult(x0,x0)))) = ld(ld(mult(mult(x0,x0),x1),mult(x0,x0)),mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))))),
    inference(congruence,[status(thm)],[c375]) ).

cnf(c377,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit) = ld(mult(mult(x0,x0),x1),mult(x0,x0)),
    inference(substitution,[status(thm)],[c361]) ).

cnf(c378,plain,
    ld(mult(mult(x0,x0),x1),mult(x0,x0)) = ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit),
    inference(symmetry,[status(thm)],[c377]) ).

cnf(c379,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(x0,x0)),mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))))) = ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit),mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))))),
    inference(congruence,[status(thm)],[c378]) ).

cnf(c380,plain,
    mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)) = mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1)))),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c381,plain,
    mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1)))) = mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)),
    inference(symmetry,[status(thm)],[c380]) ).

cnf(c382,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit),mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))))) = ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),
    inference(congruence,[status(thm)],[c381]) ).

cnf(c383,plain,
    ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)) = unit,
    inference(substitution,[status(thm)],[c117]) ).

cnf(c384,plain,
    unit = ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)),
    inference(symmetry,[status(thm)],[c383]) ).

cnf(c385,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit) = ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),
    inference(congruence,[status(thm)],[c384]) ).

cnf(c386,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),
    inference(congruence,[status(thm)],[c385]) ).

cnf(c387,plain,
    mult(unit,x0) = x0,
    inference(substitution,[status(thm)],[c107]) ).

cnf(c388,plain,
    x0 = mult(unit,x0),
    inference(symmetry,[status(thm)],[c387]) ).

cnf(c389,plain,
    mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0) = mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0)),
    inference(congruence,[status(thm)],[c388]) ).

cnf(c390,plain,
    ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)) = ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0))),
    inference(congruence,[status(thm)],[c389]) ).

cnf(c391,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))) = ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0)))),
    inference(congruence,[status(thm)],[c390]) ).

cnf(c392,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),
    inference(congruence,[status(thm)],[c391]) ).

cnf(c393,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c394,plain,
    X = mult(X3,ld(X3,X)),
    inference(symmetry,[status(thm)],[c393]) ).

cnf(c395,plain,
    ld(mult(X4,X3),X) = ld(mult(X4,X3),mult(X4,ld(X4,X))),
    inference(congruence,[status(thm)],[c394]) ).

cnf(c396,plain,
    mult(ld(mult(X4,X3),X),ld(mult(X4,X3),mult(X4,mult(X3,X3)))) = mult(ld(mult(X4,X3),mult(X4,ld(X4,X))),ld(mult(X4,X3),mult(X4,mult(X3,X3)))),
    inference(congruence,[status(thm)],[c395]) ).

cnf(c397,plain,
    mult(ld(mult(X4,X3),mult(X4,X)),ld(mult(X4,X3),mult(X4,mult(X3,X3)))) = ld(mult(X4,X3),mult(X4,mult(X3,mult(X3,ld(X3,X))))),
    inference(substitution,[status(thm)],[c30]) ).

cnf(c398,plain,
    mult(X3,ld(X3,X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c399,plain,
    mult(X3,mult(X3,ld(X3,X))) = mult(X3,X),
    inference(congruence,[status(thm)],[c398]) ).

cnf(c400,plain,
    mult(X4,mult(X3,mult(X3,ld(X3,X)))) = mult(X4,mult(X3,X)),
    inference(congruence,[status(thm)],[c399]) ).

cnf(c401,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X3,ld(X3,X))))) = ld(mult(X4,X3),mult(X4,mult(X3,X))),
    inference(congruence,[status(thm)],[c400]) ).

cnf(c402,plain,
    mult(X3,X) = mult(X,X3),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c403,plain,
    mult(X4,mult(X3,X)) = mult(X4,mult(X,X3)),
    inference(congruence,[status(thm)],[c402]) ).

cnf(c404,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,X))) = ld(mult(X4,X3),mult(X4,mult(X,X3))),
    inference(congruence,[status(thm)],[c403]) ).

cnf(c405,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,mult(X3,ld(X3,X))))) = ld(mult(X4,X3),mult(X4,mult(X,X3))),
    inference(transitivity,[status(thm)],[c401,c404]) ).

cnf(c406,plain,
    mult(ld(mult(X4,X3),mult(X4,X)),ld(mult(X4,X3),mult(X4,mult(X3,X3)))) = ld(mult(X4,X3),mult(X4,mult(X,X3))),
    inference(transitivity,[status(thm)],[c397,c405]) ).

cnf(c407,plain,
    mult(ld(mult(X4,X3),mult(X4,ld(X4,X))),ld(mult(X4,X3),mult(X4,mult(X3,X3)))) = ld(mult(X4,X3),mult(X4,mult(ld(X4,X),X3))),
    inference(substitution,[status(thm)],[c406]) ).

cnf(c408,plain,
    mult(X3,ld(X4,X)) = mult(ld(X4,X),X3),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c409,plain,
    mult(ld(X4,X),X3) = mult(X3,ld(X4,X)),
    inference(symmetry,[status(thm)],[c408]) ).

cnf(c410,plain,
    mult(X4,mult(ld(X4,X),X3)) = mult(X4,mult(X3,ld(X4,X))),
    inference(congruence,[status(thm)],[c409]) ).

cnf(c411,plain,
    ld(mult(X4,X3),mult(X4,mult(ld(X4,X),X3))) = ld(mult(X4,X3),mult(X4,mult(X3,ld(X4,X)))),
    inference(congruence,[status(thm)],[c410]) ).

cnf(c412,plain,
    ld(mult(X4,X3),mult(X4,mult(ld(X4,X),X3))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,X)))),
    inference(transitivity,[status(thm)],[c411,c57]) ).

cnf(c413,plain,
    mult(X3,X) = mult(X,X3),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c414,plain,
    mult(X4,mult(X3,X)) = mult(X4,mult(X,X3)),
    inference(congruence,[status(thm)],[c413]) ).

cnf(c415,plain,
    ld(mult(X4,X3),mult(X4,mult(X3,X))) = ld(mult(X4,X3),mult(X4,mult(X,X3))),
    inference(congruence,[status(thm)],[c414]) ).

cnf(c416,plain,
    ld(X4,ld(mult(X4,X3),mult(X4,mult(X3,X)))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X,X3)))),
    inference(congruence,[status(thm)],[c415]) ).

cnf(c417,plain,
    ld(mult(X4,X3),mult(X4,mult(ld(X4,X),X3))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X,X3)))),
    inference(transitivity,[status(thm)],[c412,c416]) ).

cnf(c418,plain,
    mult(ld(mult(X4,X3),mult(X4,ld(X4,X))),ld(mult(X4,X3),mult(X4,mult(X3,X3)))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X,X3)))),
    inference(transitivity,[status(thm)],[c407,c417]) ).

cnf(c419,plain,
    mult(ld(mult(X4,X3),X),ld(mult(X4,X3),mult(X4,mult(X3,X3)))) = ld(X4,ld(mult(X4,X3),mult(X4,mult(X,X3)))),
    inference(transitivity,[status(thm)],[c396,c418]) ).

cnf(c420,plain,
    mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))) = ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0)))),
    inference(substitution,[status(thm)],[c419]) ).

cnf(c421,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0)))) = mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),
    inference(symmetry,[status(thm)],[c420]) ).

cnf(c422,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),
    inference(congruence,[status(thm)],[c421]) ).

cnf(c423,plain,
    mult(mult(X,X),ld(X,unit)) = mult(ld(X,unit),mult(X,X)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c424,plain,
    mult(ld(X,unit),mult(X,X)) = mult(mult(X,X),ld(X,unit)),
    inference(symmetry,[status(thm)],[c423]) ).

cnf(c425,plain,
    ld(X,unit) = ld(mult(X,X),X),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c426,plain,
    mult(mult(X,X),ld(X,unit)) = mult(mult(X,X),ld(mult(X,X),X)),
    inference(congruence,[status(thm)],[c425]) ).

cnf(c427,plain,
    mult(mult(X,X),ld(mult(X,X),X)) = X,
    inference(substitution,[status(thm)],[c16]) ).

cnf(c428,plain,
    mult(mult(X,X),ld(X,unit)) = X,
    inference(transitivity,[status(thm)],[c426,c427]) ).

cnf(c429,plain,
    mult(ld(X,unit),mult(X,X)) = X,
    inference(transitivity,[status(thm)],[c424,c428]) ).

cnf(c430,plain,
    mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))) = mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),
    inference(substitution,[status(thm)],[c429]) ).

cnf(c431,plain,
    mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0) = mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),
    inference(symmetry,[status(thm)],[c430]) ).

cnf(c432,plain,
    ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),
    inference(congruence,[status(thm)],[c431]) ).

cnf(c433,plain,
    mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))) = mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),
    inference(congruence,[status(thm)],[c432]) ).

cnf(c434,plain,
    ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),
    inference(congruence,[status(thm)],[c433]) ).

cnf(c435,plain,
    mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)) = mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c436,plain,
    mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))) = mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),
    inference(symmetry,[status(thm)],[c435]) ).

cnf(c437,plain,
    ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),
    inference(congruence,[status(thm)],[c436]) ).

cnf(c438,plain,
    mult(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))) = mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)),
    inference(substitution,[status(thm)],[c16]) ).

cnf(c439,plain,
    mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)) = mult(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),
    inference(symmetry,[status(thm)],[c438]) ).

cnf(c440,plain,
    ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))))),
    inference(congruence,[status(thm)],[c439]) ).

cnf(c441,plain,
    mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))) = mult(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c442,plain,
    mult(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))) = mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),
    inference(symmetry,[status(thm)],[c441]) ).

cnf(c443,plain,
    ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))))) = ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(congruence,[status(thm)],[c442]) ).

cnf(c444,plain,
    ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c445,plain,
    ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c443,c444]) ).

cnf(c446,plain,
    ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c440,c445]) ).

cnf(c447,plain,
    ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c437,c446]) ).

cnf(c448,plain,
    ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c434,c447]) ).

cnf(c449,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(unit,x0)))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c422,c448]) ).

cnf(c450,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c392,c449]) ).

cnf(c451,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c386,c450]) ).

cnf(c452,plain,
    ld(ld(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),unit),mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c382,c451]) ).

cnf(c453,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(x0,x0)),mult(mult(x0,x0),ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c379,c452]) ).

cnf(c454,plain,
    ld(ld(mult(mult(x0,x0),x1),mult(x0,x0)),mult(mult(mult(x0,x0),mult(x1,x1)),ld(mult(mult(x0,x0),x1),mult(x0,x0)))) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c376,c453]) ).

cnf(c455,plain,
    mult(mult(x0,x0),mult(x1,x1)) = mult(ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0)))),ld(mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit)),mult(ld(mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),mult(x0,x0))),mult(ld(mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0),unit),mult(ld(mult(mult(x0,x0),x1),mult(mult(x0,x0),mult(x1,x1))),x0))))),
    inference(transitivity,[status(thm)],[c12,c454]) ).

cnf(c456,plain,
    $false,
    inference(resolution,[status(thm)],[c3,c455]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : GRP720+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  % Computer : n013.cluster.edu
% 0.20/0.45  % Model    : x86_64 x86_64
% 0.20/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45  % Memory   : 8046.5625MB
% 0.20/0.45  % OS       : Linux 6.8.0-71-generic
% 0.20/0.45  % CPULimit : 300
% 0.20/0.45  % WCLimit  : 300
% 0.20/0.45  % DateTime : Sun Sep 27 10:37:06 UTC 2026
% 0.20/0.46  % CPUTime  : 
% 0.20/0.46  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.79/10.67  Command-line arguments: --flatten --complete-subsets
% 79.79/10.67  
% 79.79/10.67  % SZS status Theorem
% 79.79/10.67  
% 79.79/10.70  % SZS output start CNFRefutation
% See solution above
% 82.44/10.96  
% 82.44/10.96  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------