%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 3 RR)
% Number of literals : 35 ( 34 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(x0,op_c),x1) != mult(x0,mult(op_c,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,axiom,
mult(A2,mult(B2,C2)) = mult(rd(mult(A2,B2),A2),mult(A2,C2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(c17,plain,
mult(op_c,mult(X2,X)) = mult(rd(mult(op_c,X2),op_c),mult(op_c,X)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c4]) ).
cnf(c19,plain,
rd(mult(op_c,X),op_c) = rd(mult(X,op_c),op_c),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(rd(mult(op_c,X2),op_c),mult(op_c,X)) = mult(rd(mult(X2,op_c),op_c),mult(op_c,X)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(c22,plain,
rd(mult(X,op_c),op_c) = X,
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
mult(rd(mult(X2,op_c),op_c),mult(op_c,X)) = mult(X2,mult(op_c,X)),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c4]) ).
cnf(c25,plain,
mult(X2,mult(op_c,X)) = mult(X2,mult(X,op_c)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(rd(mult(X2,op_c),op_c),mult(op_c,X)) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c23,c25]) ).
cnf(c27,plain,
mult(rd(mult(op_c,X2),op_c),mult(op_c,X)) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c20,c26]) ).
cnf(c28,plain,
mult(op_c,mult(X2,X)) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c17,c27]) ).
cnf(c29,plain,
mult(mult(X2,op_c),X) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c15,c28]) ).
cnf(c30,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c4]) ).
cnf(c31,plain,
mult(X,op_c) = mult(op_c,X),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
mult(X2,mult(X,op_c)) = mult(X2,mult(op_c,X)),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
mult(mult(X2,op_c),X) = mult(X2,mult(op_c,X)),
inference(transitivity,[status(thm)],[c29,c32]) ).
cnf(c34,plain,
mult(mult(x0,op_c),x1) = mult(x0,mult(op_c,x1)),
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
$false,
inference(resolution,[status(thm)],[c1,c34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 10:36:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.45 Command-line arguments: --flatten --complete-subsets
% 0.12/0.45
% 0.12/0.45 % SZS status Unsatisfiable
% 0.12/0.45
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.47
% 0.12/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------