%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 12:34:46 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.57s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 4 ( 3 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; 0-3 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality) ).
cnf(c2,axiom,
multiply(multiply(associator(X,X,Y),X),associator(X,X,Y)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',middle_associator) ).
cnf(c3,plain,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) = additive_identity,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
$false,
inference(resolution,[status(thm)],[c1,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n005.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 22:58:46 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.57 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.24/0.57
% 0.24/0.57 % SZS status Unsatisfiable
% 0.24/0.57
% 0.24/0.57 % SZS output start CNFRefutation
% See solution above
% 0.24/0.57
% 0.24/0.57 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------