%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 08:33:13 AM UTC 2026
% Result : Unsatisfiable 12.81s 2.32s
% Output : CNFRefutation 12.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 2 unt; 6 nHn; 8 RR)
% Number of literals : 26 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 2 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm25_1,negated_conjecture,
( ~ element(X1,sk1)
| ~ element(X1,X0)
| ~ element(X0,X1) ) ).
cnf(thm25_2,negated_conjecture,
( element(X0,sk2(X0))
| element(X0,sk1) ) ).
cnf(thm25_3,negated_conjecture,
( element(sk2(X0),X0)
| element(X0,sk1) ) ).
cnf(c0,plain,
( ~ element(X1,sk1)
| ~ element(X1,X0)
| ~ element(X0,X1) ),
inference(clausification,[status(esa)],[thm25_1]) ).
cnf(c1,plain,
( element(X0,sk2(X0))
| element(X0,sk1) ),
inference(clausification,[status(esa)],[thm25_2]) ).
cnf(c2,plain,
( element(sk2(X0),X0)
| element(X0,sk1) ),
inference(clausification,[status(esa)],[thm25_3]) ).
cnf(d0,plain,
( element(sk1,sk1)
| ~ element(sk2(sk1),X0)
| ~ element(X0,sk2(sk1)) ),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
( element(sk1,sk1)
| element(sk1,sk1)
| ~ element(sk1,sk2(sk1)) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( element(sk1,sk1)
| element(sk1,sk1) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ element(sk1,X0)
| ~ element(X0,sk1) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
~ element(sk1,sk1),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n017.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sat Sep 26 08:11:18 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.81/2.32 % SZS status Unsatisfiable for theBenchmark.p
% 12.81/2.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------