%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 10:11:47 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 7 RR)
% Number of literals : 25 ( 24 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(op_d,mult(x0,x1)) != mult(mult(op_d,x0),x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
op_d = ld(A,mult(op_c,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11) ).
cnf(c3,plain,
op_d = ld(op_c,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
ld(A2,mult(A2,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c5,plain,
ld(op_c,mult(op_c,op_c)) = op_c,
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
op_d = op_c,
inference(transitivity,[status(thm)],[c3,c5]) ).
cnf(c7,plain,
mult(op_d,mult(X2,X)) = mult(op_c,mult(X2,X)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
ld(mult(op_d,X2),mult(op_d,mult(X2,X))) = ld(mult(op_d,X2),mult(op_c,mult(X2,X))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
mult(op_d,X) = mult(op_c,X),
inference(congruence,[status(thm)],[c6]) ).
cnf(c10,plain,
ld(mult(op_d,X2),mult(op_c,mult(X2,X))) = ld(mult(op_c,X2),mult(op_c,mult(X2,X))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,axiom,
mult(op_c,mult(A2,B2)) = mult(mult(op_c,A2),B2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(c12,plain,
mult(op_c,mult(X2,X)) = mult(mult(op_c,X2),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
ld(mult(op_c,X2),mult(op_c,mult(X2,X))) = ld(mult(op_c,X2),mult(mult(op_c,X2),X)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
ld(mult(op_c,X2),mult(mult(op_c,X2),X)) = X,
inference(substitution,[status(thm)],[c4]) ).
cnf(c15,plain,
ld(mult(op_c,X2),mult(op_c,mult(X2,X))) = X,
inference(transitivity,[status(thm)],[c13,c14]) ).
cnf(c16,plain,
ld(mult(op_d,X2),mult(op_c,mult(X2,X))) = X,
inference(transitivity,[status(thm)],[c10,c15]) ).
cnf(c17,plain,
ld(mult(op_d,X2),mult(op_d,mult(X2,X))) = X,
inference(transitivity,[status(thm)],[c8,c16]) ).
cnf(c18,plain,
X = ld(mult(op_d,X2),mult(op_d,mult(X2,X))),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
mult(mult(op_d,X2),X) = mult(mult(op_d,X2),ld(mult(op_d,X2),mult(op_d,mult(X2,X)))),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c21,plain,
mult(mult(op_d,X2),ld(mult(op_d,X2),mult(op_d,mult(X2,X)))) = mult(op_d,mult(X2,X)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
mult(mult(op_d,X2),X) = mult(op_d,mult(X2,X)),
inference(transitivity,[status(thm)],[c19,c21]) ).
cnf(c23,plain,
mult(mult(op_d,x0),x1) = mult(op_d,mult(x0,x1)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
mult(op_d,mult(x0,x1)) = mult(mult(op_d,x0),x1),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
$false,
inference(resolution,[status(thm)],[c1,c24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 10:38:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.11/0.45
% 0.11/0.45 % SZS status Unsatisfiable
% 0.11/0.45
% 0.11/0.45 % SZS output start CNFRefutation
% See solution above
% 0.11/0.45
% 0.11/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------