%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET043-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 08:31:44 AM UTC 2026
% Result : Unsatisfiable 9.89s 2.56s
% Output : CNFRefutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 7 ( 3 unt; 2 nHn; 5 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ element(X0,X0)
| ~ element(X0,a) ) ).
cnf(clause_2,negated_conjecture,
( element(X0,a)
| element(X0,X0) ) ).
cnf(c0,plain,
( ~ element(X0,X0)
| ~ element(X0,a) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( element(X0,a)
| element(X0,X0) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(d0,plain,
element(a,a),
inference(factoring,[status(thm)],[c1]) ).
cnf(d1,plain,
~ element(a,a),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d0,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET043-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n013.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 26 06:58:51 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.89/2.56 % SZS status Unsatisfiable for theBenchmark.p
% 9.89/2.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------