%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP750-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 0.15s 15.55s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 4 RR)
% Number of literals : 28 ( 27 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c3,plain,
ld(mult(X3,mult(X3,X)),mult(mult(X3,mult(X3,X)),mult(mult(X3,X2),mult(X3,X)))) = mult(mult(X3,X2),mult(X3,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(mult(X3,X2),mult(X3,X)) = ld(mult(X3,mult(X3,X)),mult(mult(X3,mult(X3,X)),mult(mult(X3,X2),mult(X3,X)))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(mult(A2,mult(A2,A2)),mult(B2,C)) = mult(mult(A2,B2),mult(mult(A2,A2),C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c6,plain,
mult(mult(X3,mult(X3,X3)),mult(mult(X,X2),mult(X4,X2))) = mult(mult(X3,mult(X,X2)),mult(mult(X3,X3),mult(X4,X2))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
mult(mult(X4,mult(X2,X3)),mult(mult(X4,X4),mult(X,X3))) = mult(mult(X4,mult(X4,X4)),mult(mult(X2,X3),mult(X,X3))),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,axiom,
mult(mult(A2,B2),mult(C2,C2)) = mult(mult(A2,C2),mult(B2,C2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(c9,plain,
mult(mult(X2,X),mult(X3,X3)) = mult(mult(X2,X3),mult(X,X3)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(mult(X2,X3),mult(X,X3)) = mult(mult(X2,X),mult(X3,X3)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(mult(X4,mult(X4,X4)),mult(mult(X2,X3),mult(X,X3))) = mult(mult(X4,mult(X4,X4)),mult(mult(X2,X),mult(X3,X3))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
mult(mult(X4,mult(X4,X4)),mult(mult(X2,X),mult(X3,X3))) = mult(mult(X4,mult(X2,X)),mult(mult(X4,X4),mult(X3,X3))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c13,plain,
mult(mult(X2,X2),mult(X,X)) = mult(mult(X2,X),mult(X2,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c14,plain,
mult(mult(X4,mult(X2,X)),mult(mult(X4,X4),mult(X3,X3))) = mult(mult(X4,mult(X2,X)),mult(mult(X4,X3),mult(X4,X3))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(mult(X4,mult(X2,X)),mult(mult(X4,X3),mult(X4,X3))) = mult(mult(X4,mult(X4,X3)),mult(mult(X2,X),mult(X4,X3))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c16,plain,
mult(mult(X4,mult(X2,X)),mult(mult(X4,X4),mult(X3,X3))) = mult(mult(X4,mult(X4,X3)),mult(mult(X2,X),mult(X4,X3))),
inference(transitivity,[status(thm)],[c14,c15]) ).
cnf(c17,plain,
mult(mult(X4,mult(X4,X4)),mult(mult(X2,X),mult(X3,X3))) = mult(mult(X4,mult(X4,X3)),mult(mult(X2,X),mult(X4,X3))),
inference(transitivity,[status(thm)],[c12,c16]) ).
cnf(c18,plain,
mult(mult(X4,mult(X4,X4)),mult(mult(X2,X3),mult(X,X3))) = mult(mult(X4,mult(X4,X3)),mult(mult(X2,X),mult(X4,X3))),
inference(transitivity,[status(thm)],[c11,c17]) ).
cnf(c19,plain,
mult(mult(X4,mult(X2,X3)),mult(mult(X4,X4),mult(X,X3))) = mult(mult(X4,mult(X4,X3)),mult(mult(X2,X),mult(X4,X3))),
inference(transitivity,[status(thm)],[c7,c18]) ).
cnf(c20,plain,
mult(mult(X3,mult(X3,X)),mult(mult(X3,X3),mult(X2,X))) = mult(mult(X3,mult(X3,X)),mult(mult(X3,X2),mult(X3,X))),
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(mult(X3,mult(X3,X)),mult(mult(X3,X2),mult(X3,X))) = mult(mult(X3,mult(X3,X)),mult(mult(X3,X3),mult(X2,X))),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
ld(mult(X3,mult(X3,X)),mult(mult(X3,mult(X3,X)),mult(mult(X3,X2),mult(X3,X)))) = ld(mult(X3,mult(X3,X)),mult(mult(X3,mult(X3,X)),mult(mult(X3,X3),mult(X2,X)))),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
ld(mult(X3,mult(X3,X)),mult(mult(X3,mult(X3,X)),mult(mult(X3,X3),mult(X2,X)))) = mult(mult(X3,X3),mult(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c24,plain,
ld(mult(X3,mult(X3,X)),mult(mult(X3,mult(X3,X)),mult(mult(X3,X2),mult(X3,X)))) = mult(mult(X3,X3),mult(X2,X)),
inference(transitivity,[status(thm)],[c22,c23]) ).
cnf(c25,plain,
mult(mult(X3,X2),mult(X3,X)) = mult(mult(X3,X3),mult(X2,X)),
inference(transitivity,[status(thm)],[c4,c24]) ).
cnf(c26,plain,
mult(mult(a,b),mult(a,c)) = mult(mult(a,a),mult(b,c)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
mult(mult(a,a),mult(b,c)) = mult(mult(a,b),mult(a,c)),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
$false,
inference(resolution,[status(thm)],[c1,c27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP750-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/15.40 % Computer : n010.cluster.edu
% 0.13/15.40 % Model : x86_64 x86_64
% 0.13/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.40 % Memory : 8046.5625MB
% 0.13/15.40 % OS : Linux 6.8.0-71-generic
% 0.13/15.40 % CPULimit : 300
% 0.13/15.40 % WCLimit : 300
% 0.13/15.40 % DateTime : Sun Sep 27 10:43:02 UTC 2026
% 0.13/15.41 % CPUTime :
% 0.13/15.41 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/15.55 Command-line arguments: --flatten --complete-subsets
% 0.15/15.55
% 0.15/15.55 % SZS status Unsatisfiable
% 0.15/15.55
% 0.15/15.55 % SZS output start CNFRefutation
% See solution above
% 0.15/15.57
% 0.15/15.57 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------