%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP665-10 : TPTP v9.3.1. Released v8.1.0.
% 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 10:11:38 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 8 RR)
% Number of literals : 22 ( 21 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(c3,plain,
mult(mult(X2,op_c),X) = mult(mult(X2,X),ld(X,mult(op_c,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
mult(op_c,A2) = mult(A2,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
cnf(c5,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
ld(X,mult(op_c,X)) = ld(X,mult(X,op_c)),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
mult(mult(X2,X),ld(X,mult(op_c,X))) = mult(mult(X2,X),ld(X,mult(X,op_c))),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c9,plain,
ld(X,mult(X,op_c)) = op_c,
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(mult(X2,X),ld(X,mult(X,op_c))) = mult(mult(X2,X),op_c),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(op_c,mult(X2,X)) = mult(mult(X2,X),op_c),
inference(substitution,[status(thm)],[c4]) ).
cnf(c12,plain,
mult(mult(X2,X),op_c) = mult(op_c,mult(X2,X)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(mult(X2,X),ld(X,mult(X,op_c))) = mult(op_c,mult(X2,X)),
inference(transitivity,[status(thm)],[c10,c12]) ).
cnf(c14,plain,
mult(mult(X2,X),ld(X,mult(op_c,X))) = mult(op_c,mult(X2,X)),
inference(transitivity,[status(thm)],[c7,c13]) ).
cnf(c15,plain,
mult(mult(X2,op_c),X) = mult(op_c,mult(X2,X)),
inference(transitivity,[status(thm)],[c3,c14]) ).
cnf(c16,plain,
mult(mult(x0,op_c),x1) = mult(op_c,mult(x0,x1)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
mult(op_c,mult(x0,x1)) = mult(mult(x0,op_c),x1),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
mult(op_c,x0) = mult(x0,op_c),
inference(substitution,[status(thm)],[c4]) ).
cnf(c19,plain,
mult(x0,op_c) = mult(op_c,x0),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(mult(x0,op_c),x1) = mult(mult(op_c,x0),x1),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(op_c,mult(x0,x1)) = mult(mult(op_c,x0),x1),
inference(transitivity,[status(thm)],[c17,c20]) ).
cnf(c22,plain,
$false,
inference(resolution,[status(thm)],[c1,c21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP665-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.39 % Computer : n010.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 10:33:47 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 Command-line arguments: --no-flatten-goal
% 0.20/0.47
% 0.20/0.47 % SZS status Unsatisfiable
% 0.20/0.47
% 0.20/0.47 % SZS output start CNFRefutation
% See solution above
% 0.20/0.48
% 0.20/0.48 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------