%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET856-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 08:33:26 AM UTC 2026
% Result : Unsatisfiable 8.34s 16.55s
% Output : CNFRefutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$un','t$ua'),'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_5,negated_conjecture,
~ 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$un','t$ua'),'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(c0,plain,
'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$un','t$ua'),'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c1,plain,
~ 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$un','t$ua'),'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c0,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET856-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/15.44 % Computer : n008.cluster.edu
% 0.15/15.44 % Model : x86_64 x86_64
% 0.15/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/15.44 % Memory : 8046.5625MB
% 0.15/15.44 % OS : Linux 6.8.0-71-generic
% 0.15/15.44 % CPULimit : 300
% 0.15/15.44 % WCLimit : 300
% 0.15/15.44 % DateTime : Sat Sep 26 08:22:56 UTC 2026
% 0.15/15.44 % CPUTime :
% 0.15/15.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.34/16.55 % SZS status Unsatisfiable for theBenchmark.p
% 8.34/16.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------