%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP710-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 10:11:49 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 15 RR)
% Number of literals : 35 ( 34 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 30 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(X5,x4) != x3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c3,plain,
mult(mult(mult(X2,X),X),unit) = mult(mult(X2,X),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(mult(X2,X),X) = mult(mult(mult(X2,X),X),unit),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(A2,mult(B,mult(B,C))) = mult(mult(mult(A2,B),B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c6,plain,
mult(X2,mult(X,mult(X,unit))) = mult(mult(mult(X2,X),X),unit),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
mult(mult(mult(X2,X),X),unit) = mult(X2,mult(X,mult(X,unit))),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c9,plain,
mult(X,mult(X,unit)) = mult(X,X),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(X2,mult(X,mult(X,unit))) = mult(X2,mult(X,X)),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(mult(mult(X2,X),X),unit) = mult(X2,mult(X,X)),
inference(transitivity,[status(thm)],[c7,c10]) ).
cnf(c12,plain,
mult(mult(X2,X),X) = mult(X2,mult(X,X)),
inference(transitivity,[status(thm)],[c4,c11]) ).
cnf(c13,plain,
mult(mult(mult(mult(x3,i(x4)),i(x4)),x4),x4) = mult(mult(mult(x3,i(x4)),i(x4)),mult(x4,x4)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
mult(x3,mult(i(x4),mult(i(x4),mult(x4,x4)))) = mult(mult(mult(x3,i(x4)),i(x4)),mult(x4,x4)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c15,plain,
mult(mult(mult(x3,i(x4)),i(x4)),mult(x4,x4)) = mult(x3,mult(i(x4),mult(i(x4),mult(x4,x4)))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(mult(i(X),X),X) = mult(i(X),mult(X,X)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c17,plain,
mult(i(X),mult(X,X)) = mult(mult(i(X),X),X),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,axiom,
mult(i(A2),A2) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c19,plain,
mult(i(X),X) = unit,
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(mult(i(X),X),X) = mult(unit,X),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c22,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
mult(mult(i(X),X),X) = X,
inference(transitivity,[status(thm)],[c20,c22]) ).
cnf(c24,plain,
mult(i(X),mult(X,X)) = X,
inference(transitivity,[status(thm)],[c17,c23]) ).
cnf(c25,plain,
mult(i(x4),mult(x4,x4)) = x4,
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(i(x4),mult(i(x4),mult(x4,x4))) = mult(i(x4),x4),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
mult(x3,mult(i(x4),mult(i(x4),mult(x4,x4)))) = mult(x3,mult(i(x4),x4)),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
mult(i(x4),x4) = unit,
inference(substitution,[status(thm)],[c18]) ).
cnf(c29,plain,
mult(x3,mult(i(x4),x4)) = mult(x3,unit),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(x3,unit) = x3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c31,plain,
mult(x3,mult(i(x4),x4)) = x3,
inference(transitivity,[status(thm)],[c29,c30]) ).
cnf(c32,plain,
mult(x3,mult(i(x4),mult(i(x4),mult(x4,x4)))) = x3,
inference(transitivity,[status(thm)],[c27,c31]) ).
cnf(c33,plain,
mult(mult(mult(x3,i(x4)),i(x4)),mult(x4,x4)) = x3,
inference(transitivity,[status(thm)],[c15,c32]) ).
cnf(c34,plain,
mult(mult(mult(mult(x3,i(x4)),i(x4)),x4),x4) = x3,
inference(transitivity,[status(thm)],[c13,c33]) ).
cnf(c35,plain,
$false,
inference(resolution,[status(thm)],[c1,c34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP710-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 10:42:45 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.45 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
% 0.13/0.45
% 0.13/0.45 % SZS status Unsatisfiable
% 0.13/0.45
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
% 0.13/0.46
% 0.13/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------