%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET044-5 : 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 : n014.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 08:31:45 AM UTC 2026
% Result : Unsatisfiable 8.12s 1.50s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 4 unt; 3 nHn; 10 RR)
% Number of literals : 22 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 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(clause_3,negated_conjecture,
( ~ element(X0,X1)
| ~ element(X0,f(X1)) ) ).
cnf(clause_4,negated_conjecture,
( element(X0,f(X1))
| element(X0,X1) ) ).
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(c2,plain,
( ~ element(X0,X1)
| ~ element(X0,f(X1)) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( element(X0,f(X1))
| element(X0,X1) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(d0,plain,
( element(f(X0),a)
| element(f(X0),X0) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
element(f(a),a),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
element(f(a),f(a)),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
~ element(f(a),a),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d1,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 06:59:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.12/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 8.12/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------