%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 10:11:49 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.44s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 10
% Syntax : Number of clauses : 303 ( 303 unt; 0 nHn; 3 RR)
% Number of literals : 303 ( 302 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 569 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c3,plain,
rd(mult(mult(mult(X2,X),X2),X2),X2) = mult(mult(X2,X),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(mult(X2,X),X2) = rd(mult(mult(mult(X2,X),X2),X2),X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c6,plain,
mult(mult(mult(X2,X),X),unit) = mult(mult(X2,X),X),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
mult(mult(X2,X),X) = mult(mult(mult(X2,X),X),unit),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,axiom,
mult(A2,mult(B2,mult(B2,C))) = mult(mult(mult(A2,B2),B2),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c9,plain,
mult(X2,mult(X,mult(X,unit))) = mult(mult(mult(X2,X),X),unit),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(mult(mult(X2,X),X),unit) = mult(X2,mult(X,mult(X,unit))),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c12,plain,
mult(X,mult(X,unit)) = mult(X,X),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(X2,mult(X,mult(X,unit))) = mult(X2,mult(X,X)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
mult(mult(mult(X2,X),X),unit) = mult(X2,mult(X,X)),
inference(transitivity,[status(thm)],[c10,c13]) ).
cnf(c15,plain,
mult(mult(X2,X),X) = mult(X2,mult(X,X)),
inference(transitivity,[status(thm)],[c7,c14]) ).
cnf(c16,axiom,
mult(mult(A2,A2),B2) = mult(B2,mult(A2,A2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c17,plain,
mult(mult(X,X),X2) = mult(X2,mult(X,X)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
mult(X2,mult(X,X)) = mult(mult(X,X),X2),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c20,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
mult(X,X) = mult(mult(unit,X),X),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
mult(mult(X2,X2),X) = mult(mult(mult(unit,X2),X2),X),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
mult(unit,mult(X2,mult(X2,X))) = mult(mult(mult(unit,X2),X2),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c25,plain,
mult(mult(mult(unit,X2),X2),X) = mult(unit,mult(X2,mult(X2,X))),
inference(symmetry,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(unit,mult(X2,mult(X2,X))) = mult(X2,mult(X2,X)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c27,plain,
mult(mult(mult(unit,X2),X2),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c25,c26]) ).
cnf(c28,plain,
mult(mult(X2,X2),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c23,c27]) ).
cnf(c29,plain,
mult(mult(X,X),X2) = mult(X,mult(X,X2)),
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(X2,mult(X,X)) = mult(X,mult(X,X2)),
inference(transitivity,[status(thm)],[c18,c29]) ).
cnf(c31,plain,
mult(mult(X2,X),X) = mult(X,mult(X,X2)),
inference(transitivity,[status(thm)],[c15,c30]) ).
cnf(c32,plain,
mult(mult(mult(X2,X),X2),X2) = mult(X2,mult(X2,mult(X2,X))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c33,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c34,plain,
ld(X2,mult(X2,mult(X2,ld(mult(X2,X2),X)))) = mult(X2,ld(mult(X2,X2),X)),
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
mult(X2,ld(mult(X2,X2),X)) = ld(X2,mult(X2,mult(X2,ld(mult(X2,X2),X)))),
inference(symmetry,[status(thm)],[c34]) ).
cnf(c36,plain,
mult(ld(mult(X2,X2),X),mult(X2,X2)) = mult(X2,mult(X2,ld(mult(X2,X2),X))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c37,plain,
mult(X2,mult(X2,ld(mult(X2,X2),X))) = mult(ld(mult(X2,X2),X),mult(X2,X2)),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(mult(X2,X2),ld(mult(X2,X2),X)) = mult(ld(mult(X2,X2),X),mult(X2,X2)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c39,plain,
mult(ld(mult(X2,X2),X),mult(X2,X2)) = mult(mult(X2,X2),ld(mult(X2,X2),X)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c41,plain,
mult(mult(X2,X2),ld(mult(X2,X2),X)) = X,
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
mult(ld(mult(X2,X2),X),mult(X2,X2)) = X,
inference(transitivity,[status(thm)],[c39,c41]) ).
cnf(c43,plain,
mult(X2,mult(X2,ld(mult(X2,X2),X))) = X,
inference(transitivity,[status(thm)],[c37,c42]) ).
cnf(c44,plain,
ld(X2,mult(X2,mult(X2,ld(mult(X2,X2),X)))) = ld(X2,X),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(X2,ld(mult(X2,X2),X)) = ld(X2,X),
inference(transitivity,[status(thm)],[c35,c44]) ).
cnf(c46,plain,
ld(X2,X) = mult(X2,ld(mult(X2,X2),X)),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
ld(X2,ld(X2,X)) = ld(X2,mult(X2,ld(mult(X2,X2),X))),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
ld(X2,mult(X2,ld(mult(X2,X2),X))) = ld(mult(X2,X2),X),
inference(substitution,[status(thm)],[c33]) ).
cnf(c49,plain,
mult(mult(X2,X2),ld(mult(mult(X2,X2),mult(X2,X2)),X)) = ld(mult(X2,X2),X),
inference(substitution,[status(thm)],[c45]) ).
cnf(c50,plain,
ld(mult(X2,X2),X) = mult(mult(X2,X2),ld(mult(mult(X2,X2),mult(X2,X2)),X)),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
mult(mult(X2,X2),ld(mult(mult(X2,X2),mult(X2,X2)),X)) = mult(ld(mult(mult(X2,X2),mult(X2,X2)),X),mult(X2,X2)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c52,plain,
mult(mult(X,X),mult(X,X)) = mult(X,mult(X,mult(X,X))),
inference(substitution,[status(thm)],[c28]) ).
cnf(c53,plain,
ld(mult(mult(X2,X2),mult(X2,X2)),X) = ld(mult(X2,mult(X2,mult(X2,X2))),X),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
mult(ld(mult(mult(X2,X2),mult(X2,X2)),X),mult(X2,X2)) = mult(ld(mult(X2,mult(X2,mult(X2,X2))),X),mult(X2,X2)),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,axiom,
mult(A2,mult(A2,mult(A2,A2))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c56,plain,
mult(X,mult(X,mult(X,X))) = unit,
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
ld(mult(X2,mult(X2,mult(X2,X2))),X) = ld(unit,X),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
mult(ld(mult(X2,mult(X2,mult(X2,X2))),X),mult(X2,X2)) = mult(ld(unit,X),mult(X2,X2)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
mult(unit,ld(unit,X)) = ld(unit,X),
inference(substitution,[status(thm)],[c19]) ).
cnf(c60,plain,
ld(unit,X) = mult(unit,ld(unit,X)),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
mult(unit,ld(unit,X)) = X,
inference(substitution,[status(thm)],[c40]) ).
cnf(c62,plain,
ld(unit,X) = X,
inference(transitivity,[status(thm)],[c60,c61]) ).
cnf(c63,plain,
mult(ld(unit,X),mult(X2,X2)) = mult(X,mult(X2,X2)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
mult(X,mult(X2,X2)) = mult(X2,mult(X2,X)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c65,plain,
mult(ld(unit,X),mult(X2,X2)) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c63,c64]) ).
cnf(c66,plain,
mult(ld(mult(X2,mult(X2,mult(X2,X2))),X),mult(X2,X2)) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c58,c65]) ).
cnf(c67,plain,
mult(ld(mult(mult(X2,X2),mult(X2,X2)),X),mult(X2,X2)) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c54,c66]) ).
cnf(c68,plain,
mult(mult(X2,X2),ld(mult(mult(X2,X2),mult(X2,X2)),X)) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c51,c67]) ).
cnf(c69,plain,
ld(mult(X2,X2),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c50,c68]) ).
cnf(c70,plain,
ld(X2,mult(X2,ld(mult(X2,X2),X))) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c48,c69]) ).
cnf(c71,plain,
ld(X2,ld(X2,X)) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c47,c70]) ).
cnf(c72,plain,
ld(X2,ld(X2,mult(X2,X))) = mult(X2,mult(X2,mult(X2,X))),
inference(substitution,[status(thm)],[c71]) ).
cnf(c73,plain,
mult(X2,mult(X2,mult(X2,X))) = ld(X2,ld(X2,mult(X2,X))),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
ld(X2,mult(X2,X)) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c75,plain,
ld(X2,ld(X2,mult(X2,X))) = ld(X2,X),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
mult(X2,mult(X2,mult(X2,X))) = ld(X2,X),
inference(transitivity,[status(thm)],[c73,c75]) ).
cnf(c77,plain,
mult(mult(mult(X2,X),X2),X2) = ld(X2,X),
inference(transitivity,[status(thm)],[c32,c76]) ).
cnf(c78,plain,
ld(X,mult(X,mult(X,mult(X,X)))) = mult(X,mult(X,X)),
inference(substitution,[status(thm)],[c33]) ).
cnf(c79,plain,
mult(X,mult(X,X)) = ld(X,mult(X,mult(X,mult(X,X)))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
mult(X,mult(X,mult(X,X))) = unit,
inference(substitution,[status(thm)],[c55]) ).
cnf(c81,plain,
ld(X,mult(X,mult(X,mult(X,X)))) = ld(X,unit),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
mult(X,mult(X,X)) = ld(X,unit),
inference(transitivity,[status(thm)],[c79,c81]) ).
cnf(c83,plain,
ld(X,unit) = mult(X,mult(X,X)),
inference(symmetry,[status(thm)],[c82]) ).
cnf(c84,plain,
mult(ld(X2,unit),X) = mult(mult(X2,mult(X2,X2)),X),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,plain,
mult(mult(X,X),X) = mult(X,mult(X,X)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c86,plain,
mult(X,mult(X,X)) = mult(mult(X,X),X),
inference(symmetry,[status(thm)],[c85]) ).
cnf(c87,plain,
mult(mult(X2,mult(X2,X2)),X) = mult(mult(mult(X2,X2),X2),X),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
mult(X2,mult(X2,mult(X2,X))) = mult(mult(mult(X2,X2),X2),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c89,plain,
mult(mult(mult(X2,X2),X2),X) = mult(X2,mult(X2,mult(X2,X))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c90,plain,
ld(mult(X2,X2),mult(X2,X)) = mult(X2,mult(X2,mult(X2,X))),
inference(substitution,[status(thm)],[c69]) ).
cnf(c91,plain,
mult(X2,mult(X2,mult(X2,X))) = ld(mult(X2,X2),mult(X2,X)),
inference(symmetry,[status(thm)],[c90]) ).
cnf(c92,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c40]) ).
cnf(c93,plain,
X = mult(X2,ld(X2,X)),
inference(symmetry,[status(thm)],[c92]) ).
cnf(c94,plain,
mult(X2,X) = mult(X2,mult(X2,ld(X2,X))),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
ld(mult(X2,X2),mult(X2,X)) = ld(mult(X2,X2),mult(X2,mult(X2,ld(X2,X)))),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
mult(X,mult(X2,X2)) = mult(X2,mult(X2,X)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c97,plain,
mult(X2,mult(X2,X)) = mult(X,mult(X2,X2)),
inference(symmetry,[status(thm)],[c96]) ).
cnf(c98,plain,
ld(mult(X2,X2),mult(X2,mult(X2,X))) = ld(mult(X2,X2),mult(X,mult(X2,X2))),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
mult(mult(X2,X2),X) = mult(X,mult(X2,X2)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c100,plain,
mult(X,mult(X2,X2)) = mult(mult(X2,X2),X),
inference(symmetry,[status(thm)],[c99]) ).
cnf(c101,plain,
ld(mult(X2,X2),mult(X,mult(X2,X2))) = ld(mult(X2,X2),mult(mult(X2,X2),X)),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
ld(mult(X2,X2),mult(mult(X2,X2),X)) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c103,plain,
ld(mult(X2,X2),mult(X,mult(X2,X2))) = X,
inference(transitivity,[status(thm)],[c101,c102]) ).
cnf(c104,plain,
ld(mult(X2,X2),mult(X2,mult(X2,X))) = X,
inference(transitivity,[status(thm)],[c98,c103]) ).
cnf(c105,plain,
ld(mult(X2,X2),mult(X2,mult(X2,ld(X2,X)))) = ld(X2,X),
inference(substitution,[status(thm)],[c104]) ).
cnf(c106,plain,
ld(mult(X2,X2),mult(X2,X)) = ld(X2,X),
inference(transitivity,[status(thm)],[c95,c105]) ).
cnf(c107,plain,
mult(X2,mult(X2,mult(X2,X))) = ld(X2,X),
inference(transitivity,[status(thm)],[c91,c106]) ).
cnf(c108,plain,
mult(mult(mult(X2,X2),X2),X) = ld(X2,X),
inference(transitivity,[status(thm)],[c89,c107]) ).
cnf(c109,plain,
mult(mult(X2,mult(X2,X2)),X) = ld(X2,X),
inference(transitivity,[status(thm)],[c87,c108]) ).
cnf(c110,plain,
mult(ld(X2,unit),X) = ld(X2,X),
inference(transitivity,[status(thm)],[c84,c109]) ).
cnf(c111,plain,
ld(X2,X) = mult(ld(X2,unit),X),
inference(symmetry,[status(thm)],[c110]) ).
cnf(c112,plain,
mult(mult(X,X2),mult(X2,X2)) = mult(X2,mult(X2,mult(X,X2))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c113,plain,
mult(X2,mult(X2,mult(X,X2))) = mult(mult(X,X2),mult(X2,X2)),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
mult(mult(mult(X,X2),X2),X2) = mult(mult(X,X2),mult(X2,X2)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c115,plain,
mult(mult(X,X2),mult(X2,X2)) = mult(mult(mult(X,X2),X2),X2),
inference(symmetry,[status(thm)],[c114]) ).
cnf(c116,plain,
mult(X,mult(X2,mult(X2,X2))) = mult(mult(mult(X,X2),X2),X2),
inference(substitution,[status(thm)],[c8]) ).
cnf(c117,plain,
mult(mult(mult(X,X2),X2),X2) = mult(X,mult(X2,mult(X2,X2))),
inference(symmetry,[status(thm)],[c116]) ).
cnf(c118,plain,
mult(X,mult(X2,mult(X2,X2))) = mult(X,ld(X2,unit)),
inference(congruence,[status(thm)],[c82]) ).
cnf(c119,plain,
mult(mult(mult(X,X2),X2),X2) = mult(X,ld(X2,unit)),
inference(transitivity,[status(thm)],[c117,c118]) ).
cnf(c120,plain,
mult(mult(X,X2),mult(X2,X2)) = mult(X,ld(X2,unit)),
inference(transitivity,[status(thm)],[c115,c119]) ).
cnf(c121,plain,
mult(X2,mult(X2,mult(X,X2))) = mult(X,ld(X2,unit)),
inference(transitivity,[status(thm)],[c113,c120]) ).
cnf(c122,plain,
mult(X,mult(X,mult(mult(X2,X),X))) = mult(mult(X2,X),ld(X,unit)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c123,plain,
mult(mult(X2,X),ld(X,unit)) = mult(X,mult(X,mult(mult(X2,X),X))),
inference(symmetry,[status(thm)],[c122]) ).
cnf(c124,plain,
mult(X,mult(mult(X2,X),X)) = mult(X,mult(X,mult(X,X2))),
inference(congruence,[status(thm)],[c31]) ).
cnf(c125,plain,
mult(X,mult(X,mult(mult(X2,X),X))) = mult(X,mult(X,mult(X,mult(X,X2)))),
inference(congruence,[status(thm)],[c124]) ).
cnf(c126,plain,
mult(X,mult(X,mult(X,mult(X,X2)))) = ld(X,mult(X,X2)),
inference(substitution,[status(thm)],[c107]) ).
cnf(c127,plain,
ld(X,mult(X,X2)) = X2,
inference(substitution,[status(thm)],[c33]) ).
cnf(c128,plain,
mult(X,mult(X,mult(X,mult(X,X2)))) = X2,
inference(transitivity,[status(thm)],[c126,c127]) ).
cnf(c129,plain,
mult(X,mult(X,mult(mult(X2,X),X))) = X2,
inference(transitivity,[status(thm)],[c125,c128]) ).
cnf(c130,plain,
mult(mult(X2,X),ld(X,unit)) = X2,
inference(transitivity,[status(thm)],[c123,c129]) ).
cnf(c131,plain,
X2 = mult(mult(X2,X),ld(X,unit)),
inference(symmetry,[status(thm)],[c130]) ).
cnf(c132,plain,
ld(mult(X2,X),X2) = ld(mult(X2,X),mult(mult(X2,X),ld(X,unit))),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
ld(mult(X2,X),mult(mult(X2,X),ld(X,unit))) = ld(X,unit),
inference(substitution,[status(thm)],[c33]) ).
cnf(c134,plain,
ld(mult(X2,X),X2) = ld(X,unit),
inference(transitivity,[status(thm)],[c132,c133]) ).
cnf(c135,plain,
ld(mult(X,X2),X) = ld(X2,unit),
inference(substitution,[status(thm)],[c134]) ).
cnf(c136,plain,
ld(X2,unit) = ld(mult(X,X2),X),
inference(symmetry,[status(thm)],[c135]) ).
cnf(c137,plain,
mult(ld(X2,unit),X) = mult(ld(mult(X,X2),X),X),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
mult(ld(X2,unit),mult(X,X)) = ld(X2,mult(X,X)),
inference(substitution,[status(thm)],[c110]) ).
cnf(c139,plain,
ld(X2,mult(X,X)) = mult(ld(X2,unit),mult(X,X)),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
mult(mult(ld(X2,unit),X),X) = mult(ld(X2,unit),mult(X,X)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c141,plain,
mult(ld(X2,unit),mult(X,X)) = mult(mult(ld(X2,unit),X),X),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
mult(mult(ld(X2,unit),X),X) = mult(ld(X2,X),X),
inference(congruence,[status(thm)],[c110]) ).
cnf(c143,plain,
mult(ld(X2,unit),mult(X,X)) = mult(ld(X2,X),X),
inference(transitivity,[status(thm)],[c141,c142]) ).
cnf(c144,plain,
ld(X2,mult(X,X)) = mult(ld(X2,X),X),
inference(transitivity,[status(thm)],[c139,c143]) ).
cnf(c145,plain,
ld(X2,mult(mult(X,mult(X3,X)),mult(X,mult(X3,X)))) = mult(ld(X2,mult(X,mult(X3,X))),mult(X,mult(X3,X))),
inference(substitution,[status(thm)],[c144]) ).
cnf(c146,plain,
mult(ld(X3,mult(X2,mult(X,X2))),mult(X2,mult(X,X2))) = ld(X3,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
ld(X,mult(X,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2))))) = mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2))),
inference(substitution,[status(thm)],[c33]) ).
cnf(c148,plain,
mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2))) = ld(X,mult(X,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2))))),
inference(symmetry,[status(thm)],[c147]) ).
cnf(c149,plain,
mult(mult(X2,mult(X,mult(X2,X))),mult(X,mult(X2,X))) = mult(X2,mult(mult(X,mult(X2,X)),mult(X,mult(X2,X)))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c150,plain,
mult(X2,mult(mult(X,mult(X2,X)),mult(X,mult(X2,X)))) = mult(mult(X2,mult(X,mult(X2,X))),mult(X,mult(X2,X))),
inference(symmetry,[status(thm)],[c149]) ).
cnf(c151,plain,
ld(X,mult(X,X2)) = X2,
inference(substitution,[status(thm)],[c33]) ).
cnf(c152,plain,
X2 = ld(X,mult(X,X2)),
inference(symmetry,[status(thm)],[c151]) ).
cnf(c153,plain,
rd(X2,mult(X,X2)) = rd(ld(X,mult(X,X2)),mult(X,X2)),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
ld(X2,X) = mult(ld(X2,unit),X),
inference(symmetry,[status(thm)],[c110]) ).
cnf(c155,plain,
rd(ld(X2,X),X) = rd(mult(ld(X2,unit),X),X),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
rd(mult(ld(X2,unit),X),X) = ld(X2,unit),
inference(substitution,[status(thm)],[c2]) ).
cnf(c157,plain,
rd(ld(X2,X),X) = ld(X2,unit),
inference(transitivity,[status(thm)],[c155,c156]) ).
cnf(c158,plain,
rd(ld(X,mult(X,X2)),mult(X,X2)) = ld(X,unit),
inference(substitution,[status(thm)],[c157]) ).
cnf(c159,plain,
rd(X2,mult(X,X2)) = ld(X,unit),
inference(transitivity,[status(thm)],[c153,c158]) ).
cnf(c160,plain,
rd(X,mult(X2,X)) = ld(X2,unit),
inference(substitution,[status(thm)],[c159]) ).
cnf(c161,plain,
ld(X2,unit) = rd(X,mult(X2,X)),
inference(symmetry,[status(thm)],[c160]) ).
cnf(c162,plain,
rd(ld(X2,unit),mult(X,mult(X2,X))) = rd(rd(X,mult(X2,X)),mult(X,mult(X2,X))),
inference(congruence,[status(thm)],[c161]) ).
cnf(c163,plain,
mult(X2,ld(X2,mult(X,X2))) = mult(X,X2),
inference(substitution,[status(thm)],[c40]) ).
cnf(c164,plain,
mult(X,X2) = mult(X2,ld(X2,mult(X,X2))),
inference(symmetry,[status(thm)],[c163]) ).
cnf(c165,plain,
ld(mult(X2,X2),mult(X,X2)) = ld(mult(X2,X2),mult(X2,ld(X2,mult(X,X2)))),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,plain,
mult(rd(X,X2),mult(X2,X2)) = mult(X2,mult(X2,rd(X,X2))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c167,plain,
mult(X2,mult(X2,rd(X,X2))) = mult(rd(X,X2),mult(X2,X2)),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
mult(mult(rd(X,X2),X2),X2) = mult(rd(X,X2),mult(X2,X2)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c169,plain,
mult(rd(X,X2),mult(X2,X2)) = mult(mult(rd(X,X2),X2),X2),
inference(symmetry,[status(thm)],[c168]) ).
cnf(c170,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c171,plain,
mult(rd(X,X2),X2) = X,
inference(substitution,[status(thm)],[c170]) ).
cnf(c172,plain,
mult(mult(rd(X,X2),X2),X2) = mult(X,X2),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
mult(rd(X,X2),mult(X2,X2)) = mult(X,X2),
inference(transitivity,[status(thm)],[c169,c172]) ).
cnf(c174,plain,
mult(X2,mult(X2,rd(X,X2))) = mult(X,X2),
inference(transitivity,[status(thm)],[c167,c173]) ).
cnf(c175,plain,
mult(X,X2) = mult(X2,mult(X2,rd(X,X2))),
inference(symmetry,[status(thm)],[c174]) ).
cnf(c176,plain,
ld(X2,mult(X,X2)) = ld(X2,mult(X2,mult(X2,rd(X,X2)))),
inference(congruence,[status(thm)],[c175]) ).
cnf(c177,plain,
ld(X2,mult(X2,mult(X2,rd(X,X2)))) = mult(X2,rd(X,X2)),
inference(substitution,[status(thm)],[c33]) ).
cnf(c178,plain,
ld(X2,mult(X,X2)) = mult(X2,rd(X,X2)),
inference(transitivity,[status(thm)],[c176,c177]) ).
cnf(c179,plain,
mult(X2,ld(X2,mult(X,X2))) = mult(X2,mult(X2,rd(X,X2))),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
ld(mult(X2,X2),mult(X2,ld(X2,mult(X,X2)))) = ld(mult(X2,X2),mult(X2,mult(X2,rd(X,X2)))),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
ld(mult(X2,X2),mult(X2,mult(X2,rd(X,X2)))) = rd(X,X2),
inference(substitution,[status(thm)],[c104]) ).
cnf(c182,plain,
ld(mult(X2,X2),mult(X2,ld(X2,mult(X,X2)))) = rd(X,X2),
inference(transitivity,[status(thm)],[c180,c181]) ).
cnf(c183,plain,
ld(mult(X2,X2),mult(X,X2)) = rd(X,X2),
inference(transitivity,[status(thm)],[c165,c182]) ).
cnf(c184,plain,
ld(mult(mult(X2,X),mult(X2,X)),mult(X,mult(X2,X))) = rd(X,mult(X2,X)),
inference(substitution,[status(thm)],[c183]) ).
cnf(c185,plain,
rd(X,mult(X2,X)) = ld(mult(mult(X2,X),mult(X2,X)),mult(X,mult(X2,X))),
inference(symmetry,[status(thm)],[c184]) ).
cnf(c186,plain,
rd(rd(X,mult(X2,X)),mult(X,mult(X2,X))) = rd(ld(mult(mult(X2,X),mult(X2,X)),mult(X,mult(X2,X))),mult(X,mult(X2,X))),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
rd(ld(mult(mult(X2,X),mult(X2,X)),mult(X,mult(X2,X))),mult(X,mult(X2,X))) = ld(mult(mult(X2,X),mult(X2,X)),unit),
inference(substitution,[status(thm)],[c157]) ).
cnf(c188,plain,
mult(mult(X,X),mult(mult(X,X),mult(X,X))) = ld(mult(X,X),unit),
inference(substitution,[status(thm)],[c82]) ).
cnf(c189,plain,
ld(mult(X,X),unit) = mult(mult(X,X),mult(mult(X,X),mult(X,X))),
inference(symmetry,[status(thm)],[c188]) ).
cnf(c190,plain,
mult(mult(X,X),mult(mult(X,X),mult(X,X))) = mult(X,mult(X,mult(mult(X,X),mult(X,X)))),
inference(substitution,[status(thm)],[c28]) ).
cnf(c191,plain,
mult(mult(X,X),mult(X,X)) = mult(X,mult(X,mult(X,X))),
inference(substitution,[status(thm)],[c28]) ).
cnf(c192,plain,
mult(X,mult(mult(X,X),mult(X,X))) = mult(X,mult(X,mult(X,mult(X,X)))),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
mult(X,mult(X,mult(mult(X,X),mult(X,X)))) = mult(X,mult(X,mult(X,mult(X,mult(X,X))))),
inference(congruence,[status(thm)],[c192]) ).
cnf(c194,plain,
mult(X,mult(X,mult(X,X))) = unit,
inference(substitution,[status(thm)],[c55]) ).
cnf(c195,plain,
mult(X,mult(X,mult(X,mult(X,X)))) = mult(X,unit),
inference(congruence,[status(thm)],[c194]) ).
cnf(c196,plain,
mult(X,mult(X,mult(X,mult(X,mult(X,X))))) = mult(X,mult(X,unit)),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c198,plain,
mult(X,mult(X,unit)) = mult(X,X),
inference(congruence,[status(thm)],[c197]) ).
cnf(c199,plain,
mult(X,mult(X,mult(X,mult(X,mult(X,X))))) = mult(X,X),
inference(transitivity,[status(thm)],[c196,c198]) ).
cnf(c200,plain,
mult(X,mult(X,mult(mult(X,X),mult(X,X)))) = mult(X,X),
inference(transitivity,[status(thm)],[c193,c199]) ).
cnf(c201,plain,
mult(mult(X,X),mult(mult(X,X),mult(X,X))) = mult(X,X),
inference(transitivity,[status(thm)],[c190,c200]) ).
cnf(c202,plain,
ld(mult(X,X),unit) = mult(X,X),
inference(transitivity,[status(thm)],[c189,c201]) ).
cnf(c203,plain,
ld(mult(mult(X2,X),mult(X2,X)),unit) = mult(mult(X2,X),mult(X2,X)),
inference(substitution,[status(thm)],[c202]) ).
cnf(c204,plain,
mult(X,ld(X,mult(X2,X))) = mult(X2,X),
inference(substitution,[status(thm)],[c40]) ).
cnf(c205,plain,
mult(X2,X) = mult(X,ld(X,mult(X2,X))),
inference(symmetry,[status(thm)],[c204]) ).
cnf(c206,plain,
ld(rd(X2,X),mult(X2,X)) = ld(rd(X2,X),mult(X,ld(X,mult(X2,X)))),
inference(congruence,[status(thm)],[c205]) ).
cnf(c207,plain,
ld(X,mult(X2,X)) = mult(X,rd(X2,X)),
inference(substitution,[status(thm)],[c178]) ).
cnf(c208,plain,
mult(X,ld(X,mult(X2,X))) = mult(X,mult(X,rd(X2,X))),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
ld(rd(X2,X),mult(X,ld(X,mult(X2,X)))) = ld(rd(X2,X),mult(X,mult(X,rd(X2,X)))),
inference(congruence,[status(thm)],[c208]) ).
cnf(c210,plain,
mult(mult(X,X),X2) = mult(X,mult(X,X2)),
inference(substitution,[status(thm)],[c28]) ).
cnf(c211,plain,
mult(X,mult(X,X2)) = mult(mult(X,X),X2),
inference(symmetry,[status(thm)],[c210]) ).
cnf(c212,plain,
ld(X2,mult(X,mult(X,X2))) = ld(X2,mult(mult(X,X),X2)),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
mult(mult(X,X),X2) = mult(X2,mult(X,X)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c214,plain,
ld(X2,mult(mult(X,X),X2)) = ld(X2,mult(X2,mult(X,X))),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
ld(X2,mult(X2,mult(X,X))) = mult(X,X),
inference(substitution,[status(thm)],[c33]) ).
cnf(c216,plain,
ld(X2,mult(mult(X,X),X2)) = mult(X,X),
inference(transitivity,[status(thm)],[c214,c215]) ).
cnf(c217,plain,
ld(X2,mult(X,mult(X,X2))) = mult(X,X),
inference(transitivity,[status(thm)],[c212,c216]) ).
cnf(c218,plain,
ld(rd(X2,X),mult(X,mult(X,rd(X2,X)))) = mult(X,X),
inference(substitution,[status(thm)],[c217]) ).
cnf(c219,plain,
ld(rd(X2,X),mult(X,ld(X,mult(X2,X)))) = mult(X,X),
inference(transitivity,[status(thm)],[c209,c218]) ).
cnf(c220,plain,
ld(rd(X2,X),mult(X2,X)) = mult(X,X),
inference(transitivity,[status(thm)],[c206,c219]) ).
cnf(c221,plain,
ld(rd(X,mult(X2,X)),mult(X,mult(X2,X))) = mult(mult(X2,X),mult(X2,X)),
inference(substitution,[status(thm)],[c220]) ).
cnf(c222,plain,
mult(mult(X2,X),mult(X2,X)) = ld(rd(X,mult(X2,X)),mult(X,mult(X2,X))),
inference(symmetry,[status(thm)],[c221]) ).
cnf(c223,plain,
mult(ld(rd(X3,X2),unit),X) = ld(rd(X3,X2),X),
inference(substitution,[status(thm)],[c110]) ).
cnf(c224,plain,
ld(rd(X3,X2),X) = mult(ld(rd(X3,X2),unit),X),
inference(symmetry,[status(thm)],[c223]) ).
cnf(c225,plain,
rd(ld(rd(X2,X),X2),X2) = ld(rd(X2,X),unit),
inference(substitution,[status(thm)],[c157]) ).
cnf(c226,plain,
ld(rd(X2,X),unit) = rd(ld(rd(X2,X),X2),X2),
inference(symmetry,[status(thm)],[c225]) ).
cnf(c227,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c170]) ).
cnf(c228,plain,
X2 = mult(rd(X2,X),X),
inference(symmetry,[status(thm)],[c227]) ).
cnf(c229,plain,
ld(rd(X2,X),X2) = ld(rd(X2,X),mult(rd(X2,X),X)),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,plain,
ld(rd(X2,X),mult(rd(X2,X),X)) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c231,plain,
ld(rd(X2,X),X2) = X,
inference(transitivity,[status(thm)],[c229,c230]) ).
cnf(c232,plain,
rd(ld(rd(X2,X),X2),X2) = rd(X,X2),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
ld(rd(X2,X),unit) = rd(X,X2),
inference(transitivity,[status(thm)],[c226,c232]) ).
cnf(c234,plain,
mult(ld(rd(X3,X2),unit),X) = mult(rd(X2,X3),X),
inference(congruence,[status(thm)],[c233]) ).
cnf(c235,plain,
ld(rd(X3,X2),X) = mult(rd(X2,X3),X),
inference(transitivity,[status(thm)],[c224,c234]) ).
cnf(c236,plain,
ld(rd(X,mult(X2,X)),mult(X,mult(X2,X))) = mult(rd(mult(X2,X),X),mult(X,mult(X2,X))),
inference(substitution,[status(thm)],[c235]) ).
cnf(c237,plain,
rd(mult(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c238,plain,
mult(rd(mult(X2,X),X),mult(X,mult(X2,X))) = mult(X2,mult(X,mult(X2,X))),
inference(congruence,[status(thm)],[c237]) ).
cnf(c239,plain,
ld(rd(X,mult(X2,X)),mult(X,mult(X2,X))) = mult(X2,mult(X,mult(X2,X))),
inference(transitivity,[status(thm)],[c236,c238]) ).
cnf(c240,plain,
mult(mult(X2,X),mult(X2,X)) = mult(X2,mult(X,mult(X2,X))),
inference(transitivity,[status(thm)],[c222,c239]) ).
cnf(c241,plain,
ld(mult(mult(X2,X),mult(X2,X)),unit) = mult(X2,mult(X,mult(X2,X))),
inference(transitivity,[status(thm)],[c203,c240]) ).
cnf(c242,plain,
rd(ld(mult(mult(X2,X),mult(X2,X)),mult(X,mult(X2,X))),mult(X,mult(X2,X))) = mult(X2,mult(X,mult(X2,X))),
inference(transitivity,[status(thm)],[c187,c241]) ).
cnf(c243,plain,
rd(rd(X,mult(X2,X)),mult(X,mult(X2,X))) = mult(X2,mult(X,mult(X2,X))),
inference(transitivity,[status(thm)],[c186,c242]) ).
cnf(c244,plain,
rd(ld(X2,unit),mult(X,mult(X2,X))) = mult(X2,mult(X,mult(X2,X))),
inference(transitivity,[status(thm)],[c162,c243]) ).
cnf(c245,plain,
mult(X2,mult(X,mult(X2,X))) = rd(ld(X2,unit),mult(X,mult(X2,X))),
inference(symmetry,[status(thm)],[c244]) ).
cnf(c246,plain,
mult(mult(X2,mult(X,mult(X2,X))),mult(X,mult(X2,X))) = mult(rd(ld(X2,unit),mult(X,mult(X2,X))),mult(X,mult(X2,X))),
inference(congruence,[status(thm)],[c245]) ).
cnf(c247,plain,
mult(rd(ld(X2,unit),mult(X,mult(X2,X))),mult(X,mult(X2,X))) = ld(X2,unit),
inference(substitution,[status(thm)],[c170]) ).
cnf(c248,plain,
mult(mult(X2,mult(X,mult(X2,X))),mult(X,mult(X2,X))) = ld(X2,unit),
inference(transitivity,[status(thm)],[c246,c247]) ).
cnf(c249,plain,
mult(X2,mult(mult(X,mult(X2,X)),mult(X,mult(X2,X)))) = ld(X2,unit),
inference(transitivity,[status(thm)],[c150,c248]) ).
cnf(c250,plain,
mult(X,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = ld(X,unit),
inference(substitution,[status(thm)],[c249]) ).
cnf(c251,plain,
ld(X,mult(X,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2))))) = ld(X,ld(X,unit)),
inference(congruence,[status(thm)],[c250]) ).
cnf(c252,plain,
ld(X,unit) = mult(X,mult(X,X)),
inference(symmetry,[status(thm)],[c82]) ).
cnf(c253,plain,
ld(X,ld(X,unit)) = ld(X,mult(X,mult(X,X))),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,plain,
ld(X,mult(X,mult(X,X))) = mult(X,X),
inference(substitution,[status(thm)],[c33]) ).
cnf(c255,plain,
ld(X,ld(X,unit)) = mult(X,X),
inference(transitivity,[status(thm)],[c253,c254]) ).
cnf(c256,plain,
ld(X,mult(X,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2))))) = mult(X,X),
inference(transitivity,[status(thm)],[c251,c255]) ).
cnf(c257,plain,
mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2))) = mult(X,X),
inference(transitivity,[status(thm)],[c148,c256]) ).
cnf(c258,plain,
ld(X3,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = ld(X3,mult(X,X)),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
ld(X3,mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = mult(ld(X3,X),X),
inference(transitivity,[status(thm)],[c258,c144]) ).
cnf(c260,plain,
mult(ld(X3,mult(X2,mult(X,X2))),mult(X2,mult(X,X2))) = mult(ld(X3,X),X),
inference(transitivity,[status(thm)],[c146,c259]) ).
cnf(c261,plain,
mult(ld(mult(X,X2),mult(X2,mult(X,X2))),mult(X2,mult(X,X2))) = mult(ld(mult(X,X2),X),X),
inference(substitution,[status(thm)],[c260]) ).
cnf(c262,plain,
mult(ld(mult(X,X2),X),X) = mult(ld(mult(X,X2),mult(X2,mult(X,X2))),mult(X2,mult(X,X2))),
inference(symmetry,[status(thm)],[c261]) ).
cnf(c263,plain,
ld(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = mult(ld(mult(X,X2),mult(X2,mult(X,X2))),mult(X2,mult(X,X2))),
inference(substitution,[status(thm)],[c144]) ).
cnf(c264,plain,
mult(ld(mult(X,X2),mult(X2,mult(X,X2))),mult(X2,mult(X,X2))) = ld(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))),
inference(symmetry,[status(thm)],[c263]) ).
cnf(c265,plain,
mult(ld(mult(X,X2),unit),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = ld(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))),
inference(substitution,[status(thm)],[c110]) ).
cnf(c266,plain,
ld(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = mult(ld(mult(X,X2),unit),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))),
inference(symmetry,[status(thm)],[c265]) ).
cnf(c267,plain,
mult(ld(mult(X,X2),unit),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = mult(mult(X2,mult(X,X2)),mult(mult(X2,mult(X,X2)),ld(mult(X,X2),unit))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c268,plain,
mult(mult(X,X2),mult(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X,X2)))) = mult(mult(X2,mult(X,X2)),ld(mult(X,X2),unit)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c269,plain,
mult(mult(X2,mult(X,X2)),ld(mult(X,X2),unit)) = mult(mult(X,X2),mult(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X,X2)))),
inference(symmetry,[status(thm)],[c268]) ).
cnf(c270,plain,
mult(mult(X,mult(X2,X)),mult(X2,X)) = mult(X,mult(mult(X2,X),mult(X2,X))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c271,plain,
mult(X,mult(mult(X2,X),mult(X2,X))) = mult(mult(X2,X),mult(mult(X2,X),X)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c272,plain,
mult(mult(X2,X),mult(mult(X2,X),X)) = mult(mult(X2,X),mult(X,mult(X,X2))),
inference(congruence,[status(thm)],[c31]) ).
cnf(c273,plain,
mult(X,mult(mult(X2,X),mult(X2,X))) = mult(mult(X2,X),mult(X,mult(X,X2))),
inference(transitivity,[status(thm)],[c271,c272]) ).
cnf(c274,plain,
mult(mult(X,mult(X2,X)),mult(X2,X)) = mult(mult(X2,X),mult(X,mult(X,X2))),
inference(transitivity,[status(thm)],[c270,c273]) ).
cnf(c275,plain,
mult(mult(X2,X),mult(mult(X,mult(X2,X)),mult(X2,X))) = mult(mult(X2,X),mult(mult(X2,X),mult(X,mult(X,X2)))),
inference(congruence,[status(thm)],[c274]) ).
cnf(c276,plain,
ld(mult(X2,X),ld(mult(X2,X),mult(X,mult(X,X2)))) = mult(mult(X2,X),mult(mult(X2,X),mult(X,mult(X,X2)))),
inference(substitution,[status(thm)],[c71]) ).
cnf(c277,plain,
mult(mult(X2,X),mult(mult(X2,X),mult(X,mult(X,X2)))) = ld(mult(X2,X),ld(mult(X2,X),mult(X,mult(X,X2)))),
inference(symmetry,[status(thm)],[c276]) ).
cnf(c278,plain,
mult(X,mult(X,X2)) = mult(mult(X2,X),X),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c279,plain,
ld(mult(X2,X),mult(X,mult(X,X2))) = ld(mult(X2,X),mult(mult(X2,X),X)),
inference(congruence,[status(thm)],[c278]) ).
cnf(c280,plain,
ld(mult(X2,X),mult(mult(X2,X),X)) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c281,plain,
ld(mult(X2,X),mult(X,mult(X,X2))) = X,
inference(transitivity,[status(thm)],[c279,c280]) ).
cnf(c282,plain,
ld(mult(X2,X),ld(mult(X2,X),mult(X,mult(X,X2)))) = ld(mult(X2,X),X),
inference(congruence,[status(thm)],[c281]) ).
cnf(c283,plain,
mult(mult(X2,X),mult(mult(X2,X),mult(X,mult(X,X2)))) = ld(mult(X2,X),X),
inference(transitivity,[status(thm)],[c277,c282]) ).
cnf(c284,plain,
mult(mult(X2,X),mult(mult(X,mult(X2,X)),mult(X2,X))) = ld(mult(X2,X),X),
inference(transitivity,[status(thm)],[c275,c283]) ).
cnf(c285,plain,
mult(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X,X2))) = ld(mult(X,X2),X2),
inference(substitution,[status(thm)],[c284]) ).
cnf(c286,plain,
mult(mult(X,X2),mult(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X,X2)))) = mult(mult(X,X2),ld(mult(X,X2),X2)),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,plain,
mult(mult(X,X2),ld(mult(X,X2),X2)) = X2,
inference(substitution,[status(thm)],[c40]) ).
cnf(c288,plain,
mult(mult(X,X2),mult(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X,X2)))) = X2,
inference(transitivity,[status(thm)],[c286,c287]) ).
cnf(c289,plain,
mult(mult(X2,mult(X,X2)),ld(mult(X,X2),unit)) = X2,
inference(transitivity,[status(thm)],[c269,c288]) ).
cnf(c290,plain,
mult(mult(X2,mult(X,X2)),mult(mult(X2,mult(X,X2)),ld(mult(X,X2),unit))) = mult(mult(X2,mult(X,X2)),X2),
inference(congruence,[status(thm)],[c289]) ).
cnf(c291,plain,
mult(ld(mult(X,X2),unit),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = mult(mult(X2,mult(X,X2)),X2),
inference(transitivity,[status(thm)],[c267,c290]) ).
cnf(c292,plain,
ld(mult(X,X2),mult(mult(X2,mult(X,X2)),mult(X2,mult(X,X2)))) = mult(mult(X2,mult(X,X2)),X2),
inference(transitivity,[status(thm)],[c266,c291]) ).
cnf(c293,plain,
mult(ld(mult(X,X2),mult(X2,mult(X,X2))),mult(X2,mult(X,X2))) = mult(mult(X2,mult(X,X2)),X2),
inference(transitivity,[status(thm)],[c264,c292]) ).
cnf(c294,plain,
mult(ld(mult(X,X2),X),X) = mult(mult(X2,mult(X,X2)),X2),
inference(transitivity,[status(thm)],[c262,c293]) ).
cnf(c295,plain,
mult(ld(X2,unit),X) = mult(mult(X2,mult(X,X2)),X2),
inference(transitivity,[status(thm)],[c137,c294]) ).
cnf(c296,plain,
ld(X2,X) = mult(mult(X2,mult(X,X2)),X2),
inference(transitivity,[status(thm)],[c111,c295]) ).
cnf(c297,plain,
mult(mult(mult(X2,X),X2),X2) = mult(mult(X2,mult(X,X2)),X2),
inference(transitivity,[status(thm)],[c77,c296]) ).
cnf(c298,plain,
rd(mult(mult(mult(X2,X),X2),X2),X2) = rd(mult(mult(X2,mult(X,X2)),X2),X2),
inference(congruence,[status(thm)],[c297]) ).
cnf(c299,plain,
rd(mult(mult(X2,mult(X,X2)),X2),X2) = mult(X2,mult(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c300,plain,
rd(mult(mult(mult(X2,X),X2),X2),X2) = mult(X2,mult(X,X2)),
inference(transitivity,[status(thm)],[c298,c299]) ).
cnf(c301,plain,
mult(mult(X2,X),X2) = mult(X2,mult(X,X2)),
inference(transitivity,[status(thm)],[c4,c300]) ).
cnf(c302,plain,
mult(mult(a,b),a) = mult(a,mult(b,a)),
inference(substitution,[status(thm)],[c301]) ).
cnf(c303,plain,
$false,
inference(resolution,[status(thm)],[c1,c302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Sun Sep 27 10:36:34 UTC 2026
% 0.04/0.29 % CPUTime :
% 0.04/0.29 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.44 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.06/0.44
% 0.06/0.44 % SZS status Unsatisfiable
% 0.06/0.44
% 0.96/0.45 % SZS output start CNFRefutation
% See solution above
% 0.96/0.55
% 0.96/0.55 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------