%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV261-2 : 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 : n003.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 17.74s 2.71s
% Output : CNFRefutation 17.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 11 unt; 6 nHn; 21 RR)
% Number of literals : 57 ( 5 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 71 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uX','v$uG','tc$uMessage$uOmsg') ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$ulessequals'('c$uMessage$uOparts'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'c$uunion'('c$uMessage$uOparts'('v$uG'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_Message_Oparts__Un__subset2_0,axiom,
'c$ulessequals'('c$uMessage$uOparts'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'c$uunion'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_Message_Oparts__mono_0,axiom,
( 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$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_Set_Osubset__trans_0,axiom,
( 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
cnf(c0,plain,
'c$uin'('v$uX','v$uG','tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$ulessequals'('c$uMessage$uOparts'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'c$uunion'('c$uMessage$uOparts'('v$uG'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$ulessequals'('c$uMessage$uOparts'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'c$uunion'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Message_Oparts__Un__subset2_0]) ).
cnf(c3,plain,
( 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Oparts__mono_0]) ).
cnf(c4,plain,
( 'c$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$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_Osubset__trans_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uunion'(X1,X2,X3),X3),X1,X3)
| 'c$ulessequals'(X0,'c$uunion'(X1,X2,X3),'tc$uset'(X3)) ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
( 'c$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$uinsert'(X0,X1,X2),X3,X2) = X0 ),
inference(resolution,[status(thm)],[c6,c7]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uunion'(X1,X2,X3),X3),X2,X3)
| 'c$ulessequals'(X0,'c$uunion'(X1,X2,X3),'tc$uset'(X3)) ),
inference(resolution,[status(thm)],[c8,c4]) ).
cnf(d3,plain,
( 'c$ulessequals'('c$uinsert'(X0,X1,X2),'c$uunion'(X3,X1,X2),'tc$uset'(X2))
| 'c$uMain$uOsubsetI$u$u1'('c$uinsert'(X0,X1,X2),'c$uunion'(X3,X1,X2),X2) = X0
| 'c$ulessequals'('c$uinsert'(X0,X1,X2),'c$uunion'(X3,X1,X2),'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'c$ulessequals'(X0,'c$uMessage$uOparts'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'(X0,'c$uunion'('c$uMessage$uOparts'(X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c9,c2]) ).
cnf(d5,plain,
~ 'c$ulessequals'('c$uMessage$uOparts'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOparts'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
~ 'c$ulessequals'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg'),'c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
'c$uMain$uOsubsetI$u$u1'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg'),'c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') = 'v$uX',
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( 'c$ulessequals'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg'),'c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'('v$uX','v$uG','tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
'c$ulessequals'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg'),'c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c0,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d6,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV261-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n003.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 13:25:53 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.74/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 17.74/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------