%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET864-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:33:28 AM UTC 2026
% Result : Unsatisfiable 9.98s 2.14s
% Output : CNFRefutation 9.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 7 unt; 0 nHn; 20 RR)
% Number of literals : 39 ( 11 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
( 'c$uUnion'(X3,X2) = X0
| ~ 'c$ulessequals'('c$uUnion'(X3,X2),X0,'tc$uset'(X2))
| ~ 'c$uin'(X3,'c$uZorn$uOmaxchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uc','c$uZorn$uOmaxchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('c$uUnion'('v$uc','t$ua'),'v$uS','tc$uset'('t$ua')) ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| 'c$uin'('v$ux'(X0),'v$uS','tc$uset'('t$ua')) ) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| 'c$ulessequals'(X0,'v$ux'(X0),'tc$uset'('t$ua')) ) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| X0 != 'v$ux'(X0) ) ).
cnf(c0,plain,
( 'c$uUnion'(X3,X2) = X0
| ~ 'c$ulessequals'('c$uUnion'(X3,X2),X0,'tc$uset'(X2))
| ~ 'c$uin'(X3,'c$uZorn$uOmaxchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Zorn_Omaxchain__Zorn_0]) ).
cnf(c1,plain,
'c$uin'('v$uc','c$uZorn$uOmaxchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c2,plain,
'c$uin'('c$uUnion'('v$uc','t$ua'),'v$uS','tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| 'c$uin'('v$ux'(X0),'v$uS','tc$uset'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c4,plain,
( ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| 'c$ulessequals'(X0,'v$ux'(X0),'tc$uset'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c5,plain,
( ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| X0 != 'v$ux'(X0) ),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'('c$uUnion'('v$uc','t$ua'),X0,'tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| 'c$uUnion'('v$uc','t$ua') = X0 ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uUnion'('v$uc','t$ua'),'v$uS','tc$uset'('t$ua'))
| ~ 'c$uin'('v$ux'('c$uUnion'('v$uc','t$ua')),'v$uS','tc$uset'('t$ua'))
| 'c$uUnion'('v$uc','t$ua') = 'v$ux'('c$uUnion'('v$uc','t$ua')) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ 'c$uin'('v$ux'('c$uUnion'('v$uc','t$ua')),'v$uS','tc$uset'('t$ua'))
| 'c$uUnion'('v$uc','t$ua') = 'v$ux'('c$uUnion'('v$uc','t$ua')) ),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uUnion'('v$uc','t$ua'),'v$uS','tc$uset'('t$ua'))
| 'c$uUnion'('v$uc','t$ua') = 'v$ux'('c$uUnion'('v$uc','t$ua')) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
'c$uUnion'('v$uc','t$ua') = 'v$ux'('c$uUnion'('v$uc','t$ua')),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( ~ 'c$uin'('c$uUnion'('v$uc','t$ua'),'v$uS','tc$uset'('t$ua'))
| 'c$uUnion'('v$uc','t$ua') != 'c$uUnion'('v$uc','t$ua') ),
inference(superposition,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
'c$uUnion'('v$uc','t$ua') != 'c$uUnion'('v$uc','t$ua'),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET864-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 08:25:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.98/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 9.98/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------