%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV260-2 : 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 : n013.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 09:01:48 AM UTC 2026
% Result : Unsatisfiable 28.59s 4.78s
% Output : CNFRefutation 28.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 8 unt; 8 nHn; 22 RR)
% Number of literals : 66 ( 4 equ; 26 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 77 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uY','c$uMessage$uOparts'('c$uinsert'('v$uX','v$uG','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$uX','c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('v$uY','c$uMessage$uOparts'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ) ).
cnf(cls_Set_OUnCI_0,axiom,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OUnCI_1,axiom,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OinsertE_0,axiom,
( X0 = X1
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uinsert'(X1,X2,X3),X3) ) ).
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_Message_Oparts__trans_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$ulessequals'(X1,'c$uMessage$uOparts'(X2),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ) ).
cnf(c0,plain,
'c$uin'('v$uY','c$uMessage$uOparts'('c$uinsert'('v$uX','v$uG','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('v$uX','c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
~ 'c$uin'('v$uY','c$uMessage$uOparts'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OInj_0]) ).
cnf(c4,plain,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_0]) ).
cnf(c5,plain,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_1]) ).
cnf(c6,plain,
( X0 = X1
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uinsert'(X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_Set_OinsertE_0]) ).
cnf(c7,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c8,plain,
( 'c$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(c9,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$ulessequals'(X1,'c$uMessage$uOparts'(X2),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts__trans_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'),X1,'tc$uMessage$uOmsg')
| 'c$ulessequals'(X0,'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),X2,'tc$uMessage$uOmsg')
| 'c$ulessequals'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X0,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X0,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( ~ 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d2,c9]) ).
cnf(d4,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
( 'c$ulessequals'('c$uinsert'(X0,X1,X2),X3,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uinsert'(X0,X1,X2),X3,X2),X1,X2)
| 'c$uMain$uOsubsetI$u$u1'('c$uinsert'(X0,X1,X2),X3,X2) = X0 ),
inference(resolution,[status(thm)],[c6,c7]) ).
cnf(d6,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),X1,'tc$uMessage$uOmsg')
| 'c$ulessequals'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d7,plain,
( 'c$ulessequals'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$uMain$uOsubsetI$u$u1'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') = X0
| 'c$ulessequals'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( 'c$ulessequals'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ 'c$uin'(X2,'c$uMessage$uOparts'('c$uinsert'(X0,X3,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'(X2,'c$uMessage$uOparts'('c$uunion'(X3,X1,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d8,c9]) ).
cnf(d10,plain,
( ~ 'c$uin'('v$uX','c$uMessage$uOparts'(X0),'tc$uMessage$uOmsg')
| 'c$uin'('v$uY','c$uMessage$uOparts'('c$uunion'('v$uG',X0,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
~ 'c$uin'('v$uX','c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c1,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV260-2 : 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 : n013.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 13:23:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.59/4.78 % SZS status Unsatisfiable for theBenchmark.p
% 28.59/4.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------