%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET863-2 : 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 : n016.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 08:33:27 AM UTC 2026
% Result : Unsatisfiable 16.43s 2.91s
% Output : CNFRefutation 16.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of clauses : 62 ( 16 unt; 28 nHn; 45 RR)
% Number of literals : 183 ( 0 equ; 86 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 110 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OsubsetI_0,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ) ).
cnf(cls_Set_OsubsetI_1,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ) ).
cnf(cls_Zorn_Ochain__extend_0,axiom,
( 'c$uin'('c$uunion'('c$uinsert'(X0,'c$uemptyset','tc$uset'(X2)),X3,'tc$uset'(X2)),'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'(X3,X0,X2),X3,'tc$uset'(X2))
| ~ 'c$uin'(X3,'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Zorn_Ochain__extend_1,axiom,
( 'c$uin'('c$uunion'('c$uinsert'(X0,'c$uemptyset','tc$uset'(X2)),X3,'tc$uset'(X2)),'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'('c$uZorn$uOchain$u$uextend$u$u1'(X3,X0,X2),X0,'tc$uset'(X2))
| ~ 'c$uin'(X3,'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Zorn_Omaxchain__super__lemma_0,axiom,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'(X3,X5,X2),X3,'tc$uset'(X2))
| 'c$uin'(X0,X5,X2)
| ~ 'c$uin'('c$uunion'('c$uinsert'(X1,'c$uemptyset','tc$uset'(X2)),X3,'tc$uset'(X2)),'c$uZorn$uOchain'(X4,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOmaxchain'(X4,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Zorn_Omaxchain__super__lemma_1,axiom,
( 'c$uin'(X0,X5,X2)
| ~ 'c$ulessequals'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'(X3,X5,X2),X5,'tc$uset'(X2))
| ~ 'c$uin'('c$uunion'('c$uinsert'(X1,'c$uemptyset','tc$uset'(X2)),X3,'tc$uset'(X2)),'c$uZorn$uOchain'(X4,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOmaxchain'(X4,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uc','c$uZorn$uOmaxchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$uc','c$uZorn$uOchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('v$ux','v$uS','tc$uset'('t$ua')) ).
cnf(cls_conjecture_4,negated_conjecture,
'c$ulessequals'('v$uy','v$ux','tc$uset'('t$ua')) ).
cnf(cls_conjecture_5,negated_conjecture,
'c$uin'('v$uxa','v$ux','t$ua') ).
cnf(cls_conjecture_6,negated_conjecture,
~ 'c$uin'('v$uxa','v$uy','t$ua') ).
cnf(cls_conjecture_7,negated_conjecture,
( ~ 'c$uin'(X0,'v$uc','tc$uset'('t$ua'))
| 'c$ulessequals'(X0,'v$uy','tc$uset'('t$ua')) ) ).
cnf(c0,plain,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(c1,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c2,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_1]) ).
cnf(c3,plain,
( 'c$uin'('c$uunion'('c$uinsert'(X0,'c$uemptyset','tc$uset'(X2)),X3,'tc$uset'(X2)),'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'(X3,X0,X2),X3,'tc$uset'(X2))
| ~ 'c$uin'(X3,'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Zorn_Ochain__extend_0]) ).
cnf(c4,plain,
( 'c$uin'('c$uunion'('c$uinsert'(X0,'c$uemptyset','tc$uset'(X2)),X3,'tc$uset'(X2)),'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'('c$uZorn$uOchain$u$uextend$u$u1'(X3,X0,X2),X0,'tc$uset'(X2))
| ~ 'c$uin'(X3,'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Zorn_Ochain__extend_1]) ).
cnf(c5,plain,
( ~ 'c$uin'(X0,'c$uZorn$uOmaxchain'(X4,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X5,X3,X2)
| 'c$uin'(X5,X1,X2)
| ~ 'c$uin'('c$uunion'('c$uinsert'(X3,'c$uemptyset','tc$uset'(X2)),X0,'tc$uset'(X2)),'c$uZorn$uOchain'(X4,X2),'tc$uset'('tc$uset'(X2)))
| 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'(X0,X1,X2),X0,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Zorn_Omaxchain__super__lemma_0]) ).
cnf(c6,plain,
( ~ 'c$uin'('c$uunion'('c$uinsert'(X4,'c$uemptyset','tc$uset'(X2)),X0,'tc$uset'(X2)),'c$uZorn$uOchain'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'(X0,X5,X2),X5,'tc$uset'(X2))
| 'c$uin'(X3,X5,X2)
| ~ 'c$uin'(X3,X4,X2)
| ~ 'c$uin'(X0,'c$uZorn$uOmaxchain'(X1,X2),'tc$uset'('tc$uset'(X2))) ),
inference(clausification,[status(esa)],[cls_Zorn_Omaxchain__super__lemma_1]) ).
cnf(c7,plain,
'c$uin'('v$uc','c$uZorn$uOmaxchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c8,plain,
'c$uin'('v$uc','c$uZorn$uOchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c9,plain,
'c$uin'('v$ux','v$uS','tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c10,plain,
'c$ulessequals'('v$uy','v$ux','tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c11,plain,
'c$uin'('v$uxa','v$ux','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c12,plain,
~ 'c$uin'('v$uxa','v$uy','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c13,plain,
( ~ 'c$uin'(X0,'v$uc','tc$uset'('t$ua'))
| 'c$ulessequals'(X0,'v$uy','tc$uset'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(d0,plain,
( ~ 'c$uin'(X0,'v$uy','t$ua')
| 'c$uin'(X0,'v$ux','t$ua') ),
inference(resolution,[status(thm)],[c10,c0]) ).
cnf(d1,plain,
( 'c$uin'('c$uunion'('c$uinsert'(X0,'c$uemptyset','tc$uset'('t$ua')),'v$uc','tc$uset'('t$ua')),'c$uZorn$uOchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc',X0,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(d2,plain,
( ~ 'c$ulessequals'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X2,'t$ua'),X2,'tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOmaxchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X1,X0,'t$ua')
| 'c$uin'(X1,X2,'t$ua')
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc',X0,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( ~ 'c$ulessequals'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X1,'t$ua'),X1,'tc$uset'('t$ua'))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc',X2,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X2,'v$uS','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,X2,'t$ua')
| 'c$uin'(X0,X1,'t$ua') ),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X2,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X1,X0,'t$ua')
| 'c$uin'(X1,X2,'t$ua')
| ~ 'c$uin'('v$uc','c$uZorn$uOmaxchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc',X0,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d5,plain,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X1,'t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc',X2,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X2,'v$uS','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,X2,'t$ua')
| 'c$uin'(X0,X1,'t$ua') ),
inference(resolution,[status(thm)],[c7,d4]) ).
cnf(d6,plain,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X1,'t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'(X0,X1,'t$ua')
| ~ 'c$uin'(X0,'v$ux','t$ua') ),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X0,'t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('v$uxa',X0,'t$ua') ),
inference(resolution,[status(thm)],[d6,c11]) ).
cnf(d8,plain,
( 'c$ulessequals'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X0,'t$ua'),'v$uy','tc$uset'('t$ua'))
| 'c$uin'('v$uxa',X0,'t$ua')
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d7,c13]) ).
cnf(d9,plain,
( 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc',X0,'t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'(X1,'v$uy','t$ua')
| ~ 'c$uin'(X1,X0,'t$ua')
| ~ 'c$uin'(X0,'v$uS','tc$uset'('t$ua'))
| 'c$uin'('v$uxa','v$uy','t$ua')
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc',X1,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X1,'v$uS','tc$uset'('t$ua'))
| 'c$uin'(X0,'v$uy','t$ua')
| ~ 'c$uin'(X0,X1,'t$ua') ),
inference(resolution,[status(thm)],[c12,d9]) ).
cnf(d11,plain,
( 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'(X0,'v$uy','t$ua')
| ~ 'c$uin'(X0,'v$ux','t$ua') ),
inference(resolution,[status(thm)],[d10,c9]) ).
cnf(d12,plain,
( 'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('v$uxa','v$uy','t$ua') ),
inference(resolution,[status(thm)],[d11,c11]) ).
cnf(d13,plain,
'c$uin'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uc','tc$uset'('t$ua')),
inference(resolution,[status(thm)],[c12,d12]) ).
cnf(d14,plain,
'c$ulessequals'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$uy','tc$uset'('t$ua')),
inference(resolution,[status(thm)],[d13,c13]) ).
cnf(d15,plain,
( ~ 'c$uin'(X0,'c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'t$ua')
| 'c$uin'(X0,'v$uy','t$ua') ),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
( 'c$ulessequals'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),X0,'tc$uset'('t$ua'))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),X0,'t$ua'),'v$uy','t$ua') ),
inference(resolution,[status(thm)],[d15,c1]) ).
cnf(d17,plain,
( 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),X0,'t$ua'),'v$ux','t$ua')
| 'c$ulessequals'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),X0,'tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d16,d0]) ).
cnf(d18,plain,
( 'c$ulessequals'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$ux','tc$uset'('t$ua'))
| 'c$ulessequals'('c$uZorn$uOchain$u$uextend$u$u1'('v$uc','v$ux','t$ua'),'v$ux','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
( 'c$uin'('c$uunion'('c$uinsert'('v$ux','c$uemptyset','tc$uset'('t$ua')),'v$uc','tc$uset'('t$ua')),'c$uZorn$uOchain'(X0,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$uc','c$uZorn$uOchain'(X0,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$ux',X0,'tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d18,c4]) ).
cnf(d20,plain,
( ~ 'c$ulessequals'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X2,'t$ua'),X2,'tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOmaxchain'(X0,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X1,'v$ux','t$ua')
| 'c$uin'(X1,X2,'t$ua')
| ~ 'c$uin'('v$ux',X0,'tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOchain'(X0,'t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d19,c6]) ).
cnf(d21,plain,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X2,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X1,'v$ux','t$ua')
| 'c$uin'(X1,X2,'t$ua')
| ~ 'c$uin'('v$uc','c$uZorn$uOmaxchain'(X0,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$ux',X0,'tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOchain'(X0,'t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d19,c5]) ).
cnf(d22,plain,
( ~ 'c$uin'('v$ux','v$uS','tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X1,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$ux','t$ua')
| 'c$uin'(X0,X1,'t$ua') ),
inference(resolution,[status(thm)],[d21,c7]) ).
cnf(d23,plain,
( ~ 'c$uin'('v$uc','c$uZorn$uOchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X1,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$ux','t$ua')
| 'c$uin'(X0,X1,'t$ua') ),
inference(resolution,[status(thm)],[c9,d22]) ).
cnf(d24,plain,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X1,'t$ua'),'v$uc','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$ux','t$ua')
| 'c$uin'(X0,X1,'t$ua') ),
inference(resolution,[status(thm)],[c8,d23]) ).
cnf(d25,plain,
( 'c$uin'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X0,'t$ua'),'v$uc','tc$uset'('t$ua'))
| 'c$uin'('v$uxa',X0,'t$ua') ),
inference(resolution,[status(thm)],[d24,c11]) ).
cnf(d26,plain,
( 'c$ulessequals'('c$uZorn$uOmaxchain$u$usuper$u$ulemma$u$u1'('v$uc',X0,'t$ua'),'v$uy','tc$uset'('t$ua'))
| 'c$uin'('v$uxa',X0,'t$ua') ),
inference(resolution,[status(thm)],[d25,c13]) ).
cnf(d27,plain,
( ~ 'c$uin'('v$ux',X1,'tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOmaxchain'(X1,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$uc','c$uZorn$uOchain'(X1,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'v$ux','t$ua')
| 'c$uin'(X0,'v$uy','t$ua')
| 'c$uin'('v$uxa','v$uy','t$ua') ),
inference(resolution,[status(thm)],[d26,d20]) ).
cnf(d28,plain,
( ~ 'c$uin'('v$ux',X1,'tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOmaxchain'(X1,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$uc','c$uZorn$uOchain'(X1,'t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'(X0,'v$uy','t$ua')
| ~ 'c$uin'(X0,'v$ux','t$ua') ),
inference(resolution,[status(thm)],[c12,d27]) ).
cnf(d29,plain,
( ~ 'c$uin'('v$ux','v$uS','tc$uset'('t$ua'))
| ~ 'c$uin'('v$uc','c$uZorn$uOchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'(X0,'v$uy','t$ua')
| ~ 'c$uin'(X0,'v$ux','t$ua') ),
inference(resolution,[status(thm)],[d28,c7]) ).
cnf(d30,plain,
( ~ 'c$uin'('v$uc','c$uZorn$uOchain'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'(X0,'v$uy','t$ua')
| ~ 'c$uin'(X0,'v$ux','t$ua') ),
inference(resolution,[status(thm)],[c9,d29]) ).
cnf(d31,plain,
( 'c$uin'(X0,'v$uy','t$ua')
| ~ 'c$uin'(X0,'v$ux','t$ua') ),
inference(resolution,[status(thm)],[c8,d30]) ).
cnf(d32,plain,
'c$uin'('v$uxa','v$uy','t$ua'),
inference(resolution,[status(thm)],[d31,c11]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[c12,d32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 08:27:44 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.43/2.91 % SZS status Unsatisfiable for theBenchmark.p
% 16.43/2.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------