%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : RNG011-5 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jul 15 07:42:43 AM UTC 2025
% Result : Unsatisfiable 1.10s 1.30s
% Output : CNFRefutation 1.10s
% 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(g0,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
file('theBenchmark.p',prove_equality) ).
cnf(c43,axiom,
multiply(multiply(associator(X,X,Y),X),associator(X,X,Y)) = additive_identity,
file('theBenchmark.p',middle_associator) ).
cnf(g1,plain,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) = additive_identity,
inference(equational,[status(thm)],[c43]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG011-5 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.11 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 14 16:23:04 EDT 2025
% 0.11/0.32 % CPUTime :
% 1.10/1.30 % SZS status Unsatisfiable
% 1.10/1.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------