%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 09:29:26 AM UTC 2026
% Result : Unsatisfiable 10.37s 1.94s
% Output : CNFRefutation 10.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 8 unt; 8 nHn; 14 RR)
% Number of literals : 46 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm400_1,negated_conjecture,
( ~ p(X2,X1)
| ~ p(X0,X2)
| p(X0,X1) ) ).
cnf(thm400_2,negated_conjecture,
( ~ q(X2,X1)
| ~ q(X0,X2)
| q(X0,X1) ) ).
cnf(thm400_3,negated_conjecture,
( ~ q(X1,X0)
| q(X0,X1) ) ).
cnf(thm400_4,negated_conjecture,
( q(X0,X1)
| p(X0,X1) ) ).
cnf(thm400_5,negated_conjecture,
~ p(sk1,sk2) ).
cnf(thm400_6,negated_conjecture,
~ q(sk3,sk4) ).
cnf(c0,plain,
( ~ p(X2,X1)
| ~ p(X0,X2)
| p(X0,X1) ),
inference(clausification,[status(esa)],[thm400_1]) ).
cnf(c1,plain,
( ~ q(X2,X1)
| ~ q(X0,X2)
| q(X0,X1) ),
inference(clausification,[status(esa)],[thm400_2]) ).
cnf(c2,plain,
( ~ q(X1,X0)
| q(X0,X1) ),
inference(clausification,[status(esa)],[thm400_3]) ).
cnf(c3,plain,
( q(X0,X1)
| p(X0,X1) ),
inference(clausification,[status(esa)],[thm400_4]) ).
cnf(c4,plain,
~ p(sk1,sk2),
inference(clausification,[status(esa)],[thm400_5]) ).
cnf(c5,plain,
~ q(sk3,sk4),
inference(clausification,[status(esa)],[thm400_6]) ).
cnf(d0,plain,
q(sk1,sk2),
inference(resolution,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
q(sk2,sk1),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( ~ q(X0,sk2)
| q(X0,sk1) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ p(X2,X0)
| p(X2,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d4,plain,
( q(X0,X2)
| q(X2,X1)
| p(X0,X1) ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
( q(sk1,X0)
| q(X0,sk2) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( q(X0,sk1)
| q(sk1,X0) ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( q(sk1,X0)
| q(sk1,X0) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
( ~ q(X0,sk1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
( q(X0,sk1)
| q(X0,sk1) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d10,plain,
q(X0,X1),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:22:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.37/1.94 % SZS status Unsatisfiable for theBenchmark.p
% 10.37/1.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------