%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET830-2 : 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 : 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 08:33:20 AM UTC 2026
% Result : Unsatisfiable 8.21s 1.72s
% Output : CNFRefutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 9 unt; 6 nHn; 25 RR)
% Number of literals : 60 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 63 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OIntE_0,axiom,
( 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uinter'(X1,X2,X3),X3) ) ).
cnf(cls_Set_OIntE_1,axiom,
( 'c$uin'(X0,X1,X3)
| ~ 'c$uin'(X0,'c$uinter'(X1,X2,X3),X3) ) ).
cnf(cls_Set_OIntI_0,axiom,
( 'c$uin'(X0,'c$uinter'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X3,X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
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_conjecture_2,negated_conjecture,
'c$uin'('v$ux','v$uY','t$ua') ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('v$ux','v$uZ','t$ua') ).
cnf(cls_conjecture_4,negated_conjecture,
~ 'c$uin'('v$ux','v$uX','t$ua') ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ 'c$ulessequals'(X0,'v$uY','tc$uset'('t$ua'))
| ~ 'c$ulessequals'(X0,'v$uZ','tc$uset'('t$ua'))
| 'c$ulessequals'(X0,'v$uX','tc$uset'('t$ua')) ) ).
cnf(c0,plain,
( 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uinter'(X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_Set_OIntE_0]) ).
cnf(c1,plain,
( 'c$uin'(X0,X1,X3)
| ~ 'c$uin'(X0,'c$uinter'(X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_Set_OIntE_1]) ).
cnf(c2,plain,
( 'c$uin'(X0,'c$uinter'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X3,X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OIntI_0]) ).
cnf(c3,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(c4,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c5,plain,
( 'c$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(c6,plain,
'c$uin'('v$ux','v$uY','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c7,plain,
'c$uin'('v$ux','v$uZ','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c8,plain,
~ 'c$uin'('v$ux','v$uX','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c9,plain,
( ~ 'c$ulessequals'(X0,'v$uY','tc$uset'('t$ua'))
| ~ 'c$ulessequals'(X0,'v$uZ','tc$uset'('t$ua'))
| 'c$ulessequals'(X0,'v$uX','tc$uset'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(d0,plain,
( 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uinter'(X0,X1,X2),X3,X2),X0,X2)
| 'c$ulessequals'('c$uinter'(X0,X1,X2),X3,'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d1,plain,
( 'c$ulessequals'('c$uinter'(X0,X1,X2),X0,'tc$uset'(X2))
| 'c$ulessequals'('c$uinter'(X0,X1,X2),X0,'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uinter'(X0,X1,X2),X3,X2),X1,X2)
| 'c$ulessequals'('c$uinter'(X0,X1,X2),X3,'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d3,plain,
( 'c$ulessequals'('c$uinter'(X0,X1,X2),X1,'tc$uset'(X2))
| 'c$ulessequals'('c$uinter'(X0,X1,X2),X1,'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( 'c$ulessequals'('c$uinter'(X0,'v$uZ','t$ua'),'v$uX','tc$uset'('t$ua'))
| ~ 'c$ulessequals'('c$uinter'(X0,'v$uZ','t$ua'),'v$uY','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
'c$ulessequals'('c$uinter'('v$uY','v$uZ','t$ua'),'v$uX','tc$uset'('t$ua')),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( ~ 'c$uin'(X0,'c$uinter'('v$uY','v$uZ','t$ua'),'t$ua')
| 'c$uin'(X0,'v$uX','t$ua') ),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
( ~ 'c$uin'(X0,'v$uY','t$ua')
| ~ 'c$uin'(X0,'v$uZ','t$ua')
| 'c$uin'(X0,'v$uX','t$ua') ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
( 'c$uin'('v$ux','v$uX','t$ua')
| ~ 'c$uin'('v$ux','v$uY','t$ua') ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
'c$uin'('v$ux','v$uX','t$ua'),
inference(resolution,[status(thm)],[c6,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c8,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET830-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 08:24:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.21/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.21/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------