%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 09:21:17 AM UTC 2026
% Result : Unsatisfiable 7.97s 2.28s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s2_goal_1,negated_conjecture,
~ 'p$u1$u2' ).
cnf(s2_type11_1,axiom,
( ~ 'p$u1$u1'
| ~ 'p$u2$u2'
| 'p$u1$u2' ) ).
cnf(t2_1,axiom,
'p$u1$u1' ).
cnf(t2_3,axiom,
'p$u2$u2' ).
cnf(c0,plain,
~ 'p$u1$u2',
inference(clausification,[status(esa)],[s2_goal_1]) ).
cnf(c1,plain,
( ~ 'p$u1$u1'
| ~ 'p$u2$u2'
| 'p$u1$u2' ),
inference(clausification,[status(esa)],[s2_type11_1]) ).
cnf(c9,plain,
'p$u1$u1',
inference(clausification,[status(esa)],[t2_1]) ).
cnf(c11,plain,
'p$u2$u2',
inference(clausification,[status(esa)],[t2_3]) ).
cnf(d0,plain,
( ~ 'p$u2$u2'
| ~ 'p$u1$u1' ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
~ 'p$u2$u2',
inference(resolution,[status(thm)],[c9,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c11,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55 % Computer : n003.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Sat Sep 26 17:12:25 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.97/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 7.97/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------