%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN728-1 : 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 : n011.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 13.07s 2.13s
% Output : CNFRefutation 13.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 6 unt; 6 nHn; 7 RR)
% Number of literals : 32 ( 0 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm69_1,negated_conjecture,
( ~ p(X1,X2)
| p(X0,X0) ) ).
cnf(thm69_2,negated_conjecture,
( p(X0,sk1(X0))
| m(X0) ) ).
cnf(thm69_3,negated_conjecture,
( p(X0,sk1(X0))
| q(f(X0,sk1(X0))) ) ).
cnf(thm69_4,negated_conjecture,
( ~ q(X0)
| ~ m(g(X0)) ) ).
cnf(thm69_5,negated_conjecture,
( ~ p(g(sk2),X0)
| ~ p(sk2,sk2) ) ).
cnf(c0,plain,
( ~ p(X1,X2)
| p(X0,X0) ),
inference(clausification,[status(esa)],[thm69_1]) ).
cnf(c1,plain,
( p(X0,sk1(X0))
| m(X0) ),
inference(clausification,[status(esa)],[thm69_2]) ).
cnf(c2,plain,
( p(X0,sk1(X0))
| q(f(X0,sk1(X0))) ),
inference(clausification,[status(esa)],[thm69_3]) ).
cnf(c3,plain,
( ~ q(X0)
| ~ m(g(X0)) ),
inference(clausification,[status(esa)],[thm69_4]) ).
cnf(c4,plain,
( ~ p(g(sk2),X0)
| ~ p(sk2,sk2) ),
inference(clausification,[status(esa)],[thm69_5]) ).
cnf(d0,plain,
( p(X1,X1)
| m(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( m(X0)
| ~ p(sk2,sk2) ),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
( m(X1)
| m(X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
m(X0),
inference(factoring,[status(thm)],[d2]) ).
cnf(d4,plain,
~ q(X0),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
p(X0,sk1(X0)),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
~ p(sk2,sk2),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
p(X0,X0),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n011.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sat Sep 26 18:22:44 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.07/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 13.07/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------