%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Sun Sep 27 08:25:35 AM UTC 2026
% Result : Unsatisfiable 17.75s 2.72s
% Output : CNFRefutation 17.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 6 ( 5 equ; 3 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 : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(middle_associator,axiom,
multiply(multiply(associator(X0,X0,X1),X0),associator(X0,X0,X1)) = 'additive$uidentity' ).
cnf(prove_equality,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != 'additive$uidentity' ).
cnf(c20,plain,
multiply(multiply(associator(X0,X0,X1),X0),associator(X0,X0,X1)) = 'additive$uidentity',
inference(clausification,[status(esa)],[middle_associator]) ).
cnf(c21,plain,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != 'additive$uidentity',
inference(clausification,[status(esa)],[prove_equality]) ).
cnf(d0,plain,
'additive$uidentity' != 'additive$uidentity',
inference(demodulation,[status(thm)],[c21,c20]) ).
cnf(d1,plain,
$false,
inference(equality_resolution,[status(thm)],[d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n020.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 05:46:35 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.75/2.72 % SZS status Unsatisfiable for theBenchmark.p
% 17.75/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------