%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN729-1 : 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 : n001.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 09:29:27 AM UTC 2026
% Result : Unsatisfiable 8.10s 1.50s
% Output : CNFRefutation 8.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 18 RR)
% Number of literals : 29 ( 0 equ; 18 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm72_1,negated_conjecture,
( ~ p(X0)
| l(X0,g(h(sk1(X0)))) ) ).
cnf(thm72_2,negated_conjecture,
( ~ p(X0)
| p(sk1(X0)) ) ).
cnf(thm72_3,negated_conjecture,
( ~ p(X0)
| p(g(X0)) ) ).
cnf(thm72_4,negated_conjecture,
( ~ p(X0)
| p(h(X0)) ) ).
cnf(thm72_5,negated_conjecture,
p(sk2) ).
cnf(thm72_6,negated_conjecture,
( ~ l(sk2,X0)
| ~ p(X0) ) ).
cnf(c0,plain,
( ~ p(X0)
| l(X0,g(h(sk1(X0)))) ),
inference(clausification,[status(esa)],[thm72_1]) ).
cnf(c1,plain,
( ~ p(X0)
| p(sk1(X0)) ),
inference(clausification,[status(esa)],[thm72_2]) ).
cnf(c2,plain,
( ~ p(X0)
| p(g(X0)) ),
inference(clausification,[status(esa)],[thm72_3]) ).
cnf(c3,plain,
( ~ p(X0)
| p(h(X0)) ),
inference(clausification,[status(esa)],[thm72_4]) ).
cnf(c4,plain,
p(sk2),
inference(clausification,[status(esa)],[thm72_5]) ).
cnf(c5,plain,
( ~ l(sk2,X0)
| ~ p(X0) ),
inference(clausification,[status(esa)],[thm72_6]) ).
cnf(d0,plain,
( ~ p(sk2)
| ~ p(g(h(sk1(sk2)))) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d1,plain,
~ p(g(h(sk1(sk2)))),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
~ p(h(sk1(sk2))),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
~ p(sk1(sk2)),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
~ p(sk2),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c4,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN729-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.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 18:28:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.10/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 8.10/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------