%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP752-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 10:11:54 AM UTC 2026
% Result : Unsatisfiable 24.44s 3.60s
% Output : CNFRefutation 25.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of clauses : 142 ( 142 unt; 0 nHn; 4 RR)
% Number of literals : 142 ( 141 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 395 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),mult(b,ld(c,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
mult(mult(A,A),mult(B,C)) = mult(mult(A,B),mult(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c3,plain,
mult(mult(X3,X3),mult(X2,ld(X2,X))) = mult(mult(X3,X2),mult(X3,ld(X2,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(mult(X3,X2),mult(X3,ld(X2,X))) = mult(mult(X3,X3),mult(X2,ld(X2,X))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c6,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
mult(mult(X3,X3),mult(X2,ld(X2,X))) = mult(mult(X3,X3),X),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(mult(X3,X2),mult(X3,ld(X2,X))) = mult(mult(X3,X3),X),
inference(transitivity,[status(thm)],[c4,c7]) ).
cnf(c9,plain,
mult(mult(X3,X3),X) = mult(mult(X3,X2),mult(X3,ld(X2,X))),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
ld(mult(X3,X2),mult(mult(X3,X3),X)) = ld(mult(X3,X2),mult(mult(X3,X2),mult(X3,ld(X2,X)))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c12,plain,
ld(mult(X3,X2),mult(mult(X3,X2),mult(X3,ld(X2,X)))) = mult(X3,ld(X2,X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
ld(mult(X3,X2),mult(mult(X3,X3),X)) = mult(X3,ld(X2,X)),
inference(transitivity,[status(thm)],[c10,c12]) ).
cnf(c14,plain,
ld(mult(X3,X2),mult(mult(X3,X3),mult(X,ld(X3,X4)))) = mult(X3,ld(X2,mult(X,ld(X3,X4)))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(X4,ld(X3,mult(X2,ld(X4,X)))) = ld(mult(X4,X3),mult(mult(X4,X4),mult(X2,ld(X4,X)))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(mult(X3,X3),mult(X2,ld(X3,X))) = mult(mult(X3,X2),mult(X3,ld(X3,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c17,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c18,plain,
mult(mult(X3,X2),mult(X3,ld(X3,X))) = mult(mult(X3,X2),X),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,plain,
mult(mult(X3,X3),mult(X2,ld(X3,X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c16,c18]) ).
cnf(c20,plain,
ld(mult(X4,X3),mult(mult(X4,X4),mult(X2,ld(X4,X)))) = ld(mult(X4,X3),mult(mult(X4,X2),X)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(X4,ld(X3,mult(X2,ld(X4,X)))) = ld(mult(X4,X3),mult(mult(X4,X2),X)),
inference(transitivity,[status(thm)],[c15,c20]) ).
cnf(c22,plain,
mult(X3,ld(X2,mult(X,ld(X3,X3)))) = ld(mult(X3,X2),mult(mult(X3,X),X3)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
ld(mult(X3,X2),mult(mult(X3,X),X3)) = mult(X3,ld(X2,mult(X,ld(X3,X3)))),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,axiom,
mult(mult(A2,B2),mult(C2,C2)) = mult(mult(A2,C2),mult(B2,C2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(c25,plain,
mult(mult(rd(X3,X2),X),mult(X2,X2)) = mult(mult(rd(X3,X2),X2),mult(X,X2)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c27,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
mult(mult(rd(X3,X2),X2),mult(X,X2)) = mult(X3,mult(X,X2)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(mult(rd(X3,X2),X),mult(X2,X2)) = mult(X3,mult(X,X2)),
inference(transitivity,[status(thm)],[c25,c28]) ).
cnf(c30,plain,
mult(mult(rd(X3,X),X2),mult(X,X)) = mult(X3,mult(X2,X)),
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(X3,mult(X2,X)) = mult(mult(rd(X3,X),X2),mult(X,X)),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
rd(mult(X3,mult(X2,X)),mult(X,X)) = rd(mult(mult(rd(X3,X),X2),mult(X,X)),mult(X,X)),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c34,plain,
rd(mult(mult(rd(X3,X),X2),mult(X,X)),mult(X,X)) = mult(rd(X3,X),X2),
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
rd(mult(X3,mult(X2,X)),mult(X,X)) = mult(rd(X3,X),X2),
inference(transitivity,[status(thm)],[c32,c34]) ).
cnf(c36,plain,
rd(mult(mult(X3,X3),mult(ld(X3,X),X2)),mult(X2,X2)) = mult(rd(mult(X3,X3),X2),ld(X3,X)),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
mult(rd(mult(X3,X3),X2),ld(X3,X)) = rd(mult(mult(X3,X3),mult(ld(X3,X),X2)),mult(X2,X2)),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(mult(X3,X3),mult(ld(X3,X2),X)) = mult(mult(X3,ld(X3,X2)),mult(X3,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c40,plain,
mult(mult(X3,ld(X3,X2)),mult(X3,X)) = mult(X2,mult(X3,X)),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
mult(mult(X3,X3),mult(ld(X3,X2),X)) = mult(X2,mult(X3,X)),
inference(transitivity,[status(thm)],[c38,c40]) ).
cnf(c42,plain,
mult(mult(X3,X3),mult(ld(X3,X),X2)) = mult(X,mult(X3,X2)),
inference(substitution,[status(thm)],[c41]) ).
cnf(c43,plain,
rd(mult(mult(X3,X3),mult(ld(X3,X),X2)),mult(X2,X2)) = rd(mult(X,mult(X3,X2)),mult(X2,X2)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
rd(mult(X,mult(X3,X2)),mult(X2,X2)) = mult(rd(X,X2),X3),
inference(substitution,[status(thm)],[c35]) ).
cnf(c45,plain,
rd(mult(mult(X3,X3),mult(ld(X3,X),X2)),mult(X2,X2)) = mult(rd(X,X2),X3),
inference(transitivity,[status(thm)],[c43,c44]) ).
cnf(c46,plain,
mult(rd(mult(X3,X3),X2),ld(X3,X)) = mult(rd(X,X2),X3),
inference(transitivity,[status(thm)],[c37,c45]) ).
cnf(c47,plain,
mult(rd(mult(X,X),ld(X2,mult(X,X))),ld(X,X3)) = mult(rd(X3,ld(X2,mult(X,X))),X),
inference(substitution,[status(thm)],[c46]) ).
cnf(c48,plain,
mult(rd(X3,ld(X2,mult(X,X))),X) = mult(rd(mult(X,X),ld(X2,mult(X,X))),ld(X,X3)),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
mult(X,ld(X,X2)) = X2,
inference(substitution,[status(thm)],[c5]) ).
cnf(c50,plain,
X2 = mult(X,ld(X,X2)),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
rd(X2,ld(X,X2)) = rd(mult(X,ld(X,X2)),ld(X,X2)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
rd(mult(X,ld(X,X2)),ld(X,X2)) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c53,plain,
rd(X2,ld(X,X2)) = X,
inference(transitivity,[status(thm)],[c51,c52]) ).
cnf(c54,plain,
rd(mult(X,X),ld(X2,mult(X,X))) = X2,
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
mult(rd(mult(X,X),ld(X2,mult(X,X))),ld(X,X3)) = mult(X2,ld(X,X3)),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
mult(rd(X3,ld(X2,mult(X,X))),X) = mult(X2,ld(X,X3)),
inference(transitivity,[status(thm)],[c48,c55]) ).
cnf(c57,plain,
mult(rd(X2,ld(X,mult(X2,X2))),X2) = mult(X,ld(X2,X2)),
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
mult(X,ld(X2,X2)) = mult(rd(X2,ld(X,mult(X2,X2))),X2),
inference(symmetry,[status(thm)],[c57]) ).
cnf(c59,plain,
ld(X2,mult(X,ld(X3,X3))) = ld(X2,mult(rd(X3,ld(X,mult(X3,X3))),X3)),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
mult(X3,ld(X2,mult(X,ld(X3,X3)))) = mult(X3,ld(X2,mult(rd(X3,ld(X,mult(X3,X3))),X3))),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
rd(mult(mult(X3,X3),mult(ld(X,X3),X2)),mult(X2,X2)) = mult(rd(mult(X3,X3),X2),ld(X,X3)),
inference(substitution,[status(thm)],[c35]) ).
cnf(c62,plain,
mult(rd(mult(X3,X3),X2),ld(X,X3)) = rd(mult(mult(X3,X3),mult(ld(X,X3),X2)),mult(X2,X2)),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
mult(X2,mult(X3,X)) = mult(mult(X3,X3),mult(ld(X3,X2),X)),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c64,plain,
ld(mult(X3,X3),mult(X2,mult(X3,X))) = ld(mult(X3,X3),mult(mult(X3,X3),mult(ld(X3,X2),X))),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
ld(mult(X3,X3),mult(mult(X3,X3),mult(ld(X3,X2),X))) = mult(ld(X3,X2),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c66,plain,
ld(mult(X3,X3),mult(X2,mult(X3,X))) = mult(ld(X3,X2),X),
inference(transitivity,[status(thm)],[c64,c65]) ).
cnf(c67,plain,
ld(mult(X2,X2),mult(X3,mult(X2,X))) = mult(ld(X2,X3),X),
inference(substitution,[status(thm)],[c66]) ).
cnf(c68,plain,
mult(ld(X2,X3),X) = ld(mult(X2,X2),mult(X3,mult(X2,X))),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
mult(mult(X3,X3),mult(ld(X2,X3),X)) = mult(mult(X3,X3),ld(mult(X2,X2),mult(X3,mult(X2,X)))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,axiom,
mult(mult(A2,mult(A2,A2)),mult(B2,C2)) = mult(mult(A2,B2),mult(mult(A2,A2),C2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c71,plain,
mult(mult(X3,mult(X3,X3)),mult(X2,ld(X2,X))) = mult(mult(X3,X2),mult(mult(X3,X3),ld(X2,X))),
inference(substitution,[status(thm)],[c70]) ).
cnf(c72,plain,
mult(mult(X3,X2),mult(mult(X3,X3),ld(X2,X))) = mult(mult(X3,mult(X3,X3)),mult(X2,ld(X2,X))),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c74,plain,
mult(mult(X3,mult(X3,X3)),mult(X2,ld(X2,X))) = mult(mult(X3,mult(X3,X3)),X),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
mult(mult(X3,X2),mult(mult(X3,X3),ld(X2,X))) = mult(mult(X3,mult(X3,X3)),X),
inference(transitivity,[status(thm)],[c72,c74]) ).
cnf(c76,plain,
mult(mult(X3,mult(X3,X3)),X) = mult(mult(X3,X2),mult(mult(X3,X3),ld(X2,X))),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,plain,
ld(mult(X3,X2),mult(mult(X3,mult(X3,X3)),X)) = ld(mult(X3,X2),mult(mult(X3,X2),mult(mult(X3,X3),ld(X2,X)))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
ld(mult(X3,X2),mult(mult(X3,X2),mult(mult(X3,X3),ld(X2,X)))) = mult(mult(X3,X3),ld(X2,X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c79,plain,
ld(mult(X3,X2),mult(mult(X3,mult(X3,X3)),X)) = mult(mult(X3,X3),ld(X2,X)),
inference(transitivity,[status(thm)],[c77,c78]) ).
cnf(c80,plain,
ld(mult(X3,X2),mult(mult(X3,mult(X3,X3)),mult(X3,X))) = mult(mult(X3,X3),ld(X2,mult(X3,X))),
inference(substitution,[status(thm)],[c79]) ).
cnf(c81,plain,
mult(mult(X3,X3),ld(X2,mult(X3,X))) = ld(mult(X3,X2),mult(mult(X3,mult(X3,X3)),mult(X3,X))),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
mult(mult(X2,X2),mult(mult(X2,X2),X)) = mult(mult(X2,mult(X2,X2)),mult(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c83,plain,
mult(mult(X2,mult(X2,X2)),mult(X2,X)) = mult(mult(X2,X2),mult(mult(X2,X2),X)),
inference(symmetry,[status(thm)],[c82]) ).
cnf(c84,plain,
ld(mult(X3,X2),mult(mult(X3,mult(X3,X3)),mult(X3,X))) = ld(mult(X3,X2),mult(mult(X3,X3),mult(mult(X3,X3),X))),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,plain,
ld(mult(X3,X2),mult(mult(X3,X3),mult(mult(X3,X3),X))) = mult(X3,ld(X2,mult(mult(X3,X3),X))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c86,plain,
ld(mult(X3,X2),mult(mult(X3,mult(X3,X3)),mult(X3,X))) = mult(X3,ld(X2,mult(mult(X3,X3),X))),
inference(transitivity,[status(thm)],[c84,c85]) ).
cnf(c87,plain,
mult(mult(X3,X3),ld(X2,mult(X3,X))) = mult(X3,ld(X2,mult(mult(X3,X3),X))),
inference(transitivity,[status(thm)],[c81,c86]) ).
cnf(c88,plain,
mult(mult(X3,X3),ld(mult(X2,X2),mult(X3,mult(X2,X)))) = mult(X3,ld(mult(X2,X2),mult(mult(X3,X3),mult(X2,X)))),
inference(substitution,[status(thm)],[c87]) ).
cnf(c89,plain,
ld(mult(X2,X2),mult(mult(X3,X3),mult(X2,X))) = mult(ld(X2,mult(X3,X3)),X),
inference(substitution,[status(thm)],[c66]) ).
cnf(c90,plain,
mult(X3,ld(mult(X2,X2),mult(mult(X3,X3),mult(X2,X)))) = mult(X3,mult(ld(X2,mult(X3,X3)),X)),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
mult(mult(X3,X3),ld(mult(X2,X2),mult(X3,mult(X2,X)))) = mult(X3,mult(ld(X2,mult(X3,X3)),X)),
inference(transitivity,[status(thm)],[c88,c90]) ).
cnf(c92,plain,
mult(mult(X3,X3),mult(ld(X2,X3),X)) = mult(X3,mult(ld(X2,mult(X3,X3)),X)),
inference(transitivity,[status(thm)],[c69,c91]) ).
cnf(c93,plain,
mult(mult(X3,X3),mult(ld(X,X3),X2)) = mult(X3,mult(ld(X,mult(X3,X3)),X2)),
inference(substitution,[status(thm)],[c92]) ).
cnf(c94,plain,
rd(mult(mult(X3,X3),mult(ld(X,X3),X2)),mult(X2,X2)) = rd(mult(X3,mult(ld(X,mult(X3,X3)),X2)),mult(X2,X2)),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
rd(mult(X3,mult(ld(X,mult(X3,X3)),X2)),mult(X2,X2)) = mult(rd(X3,X2),ld(X,mult(X3,X3))),
inference(substitution,[status(thm)],[c35]) ).
cnf(c96,plain,
mult(mult(X3,X2),X) = mult(mult(X3,X3),mult(X2,ld(X3,X))),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c97,plain,
ld(mult(X3,X3),mult(mult(X3,X2),X)) = ld(mult(X3,X3),mult(mult(X3,X3),mult(X2,ld(X3,X)))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
ld(mult(X3,X3),mult(mult(X3,X3),mult(X2,ld(X3,X)))) = mult(X2,ld(X3,X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c99,plain,
ld(mult(X3,X3),mult(mult(X3,X2),X)) = mult(X2,ld(X3,X)),
inference(transitivity,[status(thm)],[c97,c98]) ).
cnf(c100,plain,
ld(mult(X2,X2),mult(mult(X2,X),mult(X3,X))) = mult(X,ld(X2,mult(X3,X))),
inference(substitution,[status(thm)],[c99]) ).
cnf(c101,plain,
mult(X,ld(X2,mult(X3,X))) = ld(mult(X2,X2),mult(mult(X2,X),mult(X3,X))),
inference(symmetry,[status(thm)],[c100]) ).
cnf(c102,plain,
mult(mult(X2,X3),mult(X,X)) = mult(mult(X2,X),mult(X3,X)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c103,plain,
mult(mult(X2,X),mult(X3,X)) = mult(mult(X2,X3),mult(X,X)),
inference(symmetry,[status(thm)],[c102]) ).
cnf(c104,plain,
ld(mult(X2,X2),mult(mult(X2,X),mult(X3,X))) = ld(mult(X2,X2),mult(mult(X2,X3),mult(X,X))),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
ld(mult(X2,X2),mult(mult(X2,X3),mult(X,X))) = mult(X3,ld(X2,mult(X,X))),
inference(substitution,[status(thm)],[c99]) ).
cnf(c106,plain,
ld(mult(X2,X2),mult(mult(X2,X),mult(X3,X))) = mult(X3,ld(X2,mult(X,X))),
inference(transitivity,[status(thm)],[c104,c105]) ).
cnf(c107,plain,
mult(X,ld(X2,mult(X3,X))) = mult(X3,ld(X2,mult(X,X))),
inference(transitivity,[status(thm)],[c101,c106]) ).
cnf(c108,plain,
mult(X3,ld(X,mult(rd(X3,X2),X3))) = mult(rd(X3,X2),ld(X,mult(X3,X3))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c109,plain,
mult(rd(X3,X2),ld(X,mult(X3,X3))) = mult(X3,ld(X,mult(rd(X3,X2),X3))),
inference(symmetry,[status(thm)],[c108]) ).
cnf(c110,plain,
rd(mult(X3,mult(ld(X,mult(X3,X3)),X2)),mult(X2,X2)) = mult(X3,ld(X,mult(rd(X3,X2),X3))),
inference(transitivity,[status(thm)],[c95,c109]) ).
cnf(c111,plain,
rd(mult(mult(X3,X3),mult(ld(X,X3),X2)),mult(X2,X2)) = mult(X3,ld(X,mult(rd(X3,X2),X3))),
inference(transitivity,[status(thm)],[c94,c110]) ).
cnf(c112,plain,
mult(rd(mult(X3,X3),X2),ld(X,X3)) = mult(X3,ld(X,mult(rd(X3,X2),X3))),
inference(transitivity,[status(thm)],[c62,c111]) ).
cnf(c113,plain,
mult(rd(mult(X3,X3),ld(X,mult(X3,X3))),ld(X2,X3)) = mult(X3,ld(X2,mult(rd(X3,ld(X,mult(X3,X3))),X3))),
inference(substitution,[status(thm)],[c112]) ).
cnf(c114,plain,
mult(X3,ld(X2,mult(rd(X3,ld(X,mult(X3,X3))),X3))) = mult(rd(mult(X3,X3),ld(X,mult(X3,X3))),ld(X2,X3)),
inference(symmetry,[status(thm)],[c113]) ).
cnf(c115,plain,
rd(mult(X2,X2),ld(X,mult(X2,X2))) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c116,plain,
mult(rd(mult(X3,X3),ld(X,mult(X3,X3))),ld(X2,X3)) = mult(X,ld(X2,X3)),
inference(congruence,[status(thm)],[c115]) ).
cnf(c117,plain,
mult(X3,ld(X2,mult(rd(X3,ld(X,mult(X3,X3))),X3))) = mult(X,ld(X2,X3)),
inference(transitivity,[status(thm)],[c114,c116]) ).
cnf(c118,plain,
mult(X3,ld(X2,mult(X,ld(X3,X3)))) = mult(X,ld(X2,X3)),
inference(transitivity,[status(thm)],[c60,c117]) ).
cnf(c119,plain,
ld(mult(X3,X2),mult(mult(X3,X),X3)) = mult(X,ld(X2,X3)),
inference(transitivity,[status(thm)],[c23,c118]) ).
cnf(c120,plain,
ld(mult(X2,X2),mult(mult(X2,X),X2)) = mult(X,ld(X2,X2)),
inference(substitution,[status(thm)],[c119]) ).
cnf(c121,plain,
mult(X,ld(X2,X2)) = ld(mult(X2,X2),mult(mult(X2,X),X2)),
inference(symmetry,[status(thm)],[c120]) ).
cnf(c122,plain,
mult(mult(X3,X2),mult(X,ld(X2,X2))) = mult(mult(X3,X2),ld(mult(X2,X2),mult(mult(X2,X),X2))),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
mult(mult(X3,X3),mult(X2,ld(X3,ld(mult(X2,X2),X)))) = mult(mult(X3,X2),ld(mult(X2,X2),X)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c124,plain,
mult(mult(X3,X2),ld(mult(X2,X2),X)) = mult(mult(X3,X3),mult(X2,ld(X3,ld(mult(X2,X2),X)))),
inference(symmetry,[status(thm)],[c123]) ).
cnf(c125,plain,
ld(mult(X3,X2),mult(mult(X3,X3),ld(mult(X3,X3),X))) = mult(X3,ld(X2,ld(mult(X3,X3),X))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c126,plain,
mult(X3,ld(X2,ld(mult(X3,X3),X))) = ld(mult(X3,X2),mult(mult(X3,X3),ld(mult(X3,X3),X))),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
mult(mult(X2,X2),ld(mult(X2,X2),X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c128,plain,
ld(mult(X3,X2),mult(mult(X3,X3),ld(mult(X3,X3),X))) = ld(mult(X3,X2),X),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
mult(X3,ld(X2,ld(mult(X3,X3),X))) = ld(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c126,c128]) ).
cnf(c130,plain,
mult(X2,ld(X3,ld(mult(X2,X2),X))) = ld(mult(X2,X3),X),
inference(substitution,[status(thm)],[c129]) ).
cnf(c131,plain,
mult(mult(X3,X3),mult(X2,ld(X3,ld(mult(X2,X2),X)))) = mult(mult(X3,X3),ld(mult(X2,X3),X)),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
mult(mult(X3,X2),ld(mult(X2,X2),X)) = mult(mult(X3,X3),ld(mult(X2,X3),X)),
inference(transitivity,[status(thm)],[c124,c131]) ).
cnf(c133,plain,
mult(mult(X3,X2),ld(mult(X2,X2),mult(mult(X2,X),X2))) = mult(mult(X3,X3),ld(mult(X2,X3),mult(mult(X2,X),X2))),
inference(substitution,[status(thm)],[c132]) ).
cnf(c134,plain,
ld(mult(X2,X3),mult(mult(X2,X),X2)) = mult(X,ld(X3,X2)),
inference(substitution,[status(thm)],[c119]) ).
cnf(c135,plain,
mult(mult(X3,X3),ld(mult(X2,X3),mult(mult(X2,X),X2))) = mult(mult(X3,X3),mult(X,ld(X3,X2))),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
mult(mult(X3,X3),mult(X,ld(X3,X2))) = mult(mult(X3,X),X2),
inference(substitution,[status(thm)],[c19]) ).
cnf(c137,plain,
mult(mult(X3,X3),ld(mult(X2,X3),mult(mult(X2,X),X2))) = mult(mult(X3,X),X2),
inference(transitivity,[status(thm)],[c135,c136]) ).
cnf(c138,plain,
mult(mult(X3,X2),ld(mult(X2,X2),mult(mult(X2,X),X2))) = mult(mult(X3,X),X2),
inference(transitivity,[status(thm)],[c133,c137]) ).
cnf(c139,plain,
mult(mult(X3,X2),mult(X,ld(X2,X2))) = mult(mult(X3,X),X2),
inference(transitivity,[status(thm)],[c122,c138]) ).
cnf(c140,plain,
mult(mult(a,c),mult(b,ld(c,c))) = mult(mult(a,b),c),
inference(substitution,[status(thm)],[c139]) ).
cnf(c141,plain,
mult(mult(a,b),c) = mult(mult(a,c),mult(b,ld(c,c))),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
$false,
inference(resolution,[status(thm)],[c1,c141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP752-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:41:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.44/3.60 Command-line arguments: --no-flatten-goal
% 24.44/3.60
% 24.44/3.60 % SZS status Unsatisfiable
% 24.44/3.60
% 25.25/3.61 % SZS output start CNFRefutation
% See solution above
% 25.25/3.69
% 25.25/3.69 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------