%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV279-2 : 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 : n001.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 09:01:52 AM UTC 2026
% Result : Unsatisfiable 13.35s 12.17s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 10 unt; 0 nHn; 23 RR)
% Number of literals : 47 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 55 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ 'c$uin'('v$uX','c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uY','c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$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$uOmsg') ) ).
cnf(cls_Public_Oused__parts__subset__parts_0,axiom,
( 'c$ulessequals'('c$uMessage$uOparts'('c$uinsert'(X0,'c$uemptyset','tc$uMessage$uOmsg')),'c$uEvent$uOused'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Set_Oinsert__iff_1,axiom,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),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(c0,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( ~ 'c$uin'('v$uX','c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uY','c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_0]) ).
cnf(c3,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_1]) ).
cnf(c4,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OInj_0]) ).
cnf(c5,plain,
( 'c$ulessequals'('c$uMessage$uOparts'('c$uinsert'(X0,'c$uemptyset','tc$uMessage$uOmsg')),'c$uEvent$uOused'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Public_Oused__parts__subset__parts_0]) ).
cnf(c6,plain,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),X2),
inference(clausification,[status(esa)],[cls_Set_Oinsert__iff_1]) ).
cnf(c7,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(d0,plain,
( ~ 'c$uin'(X2,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uinsert'(X2,'c$uemptyset','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c7,c5]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X2),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c3,c4]) ).
cnf(d2,plain,
'c$uin'(X0,'c$uMessage$uOparts'('c$uinsert'('c$uMessage$uOmsg$uOMPair'(X0,X1),X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( 'c$uin'(X0,'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'c$uin'('v$uX','c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),X2,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d6,plain,
'c$uin'(X0,'c$uMessage$uOparts'('c$uinsert'('c$uMessage$uOmsg$uOMPair'(X1,X0),X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d5,c6]) ).
cnf(d7,plain,
( 'c$uin'(X1,'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d0,d6]) ).
cnf(d8,plain,
'c$uin'('v$uY','c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
~ 'c$uin'('v$uX','c$uEvent$uOused'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/10.38 % Computer : n001.cluster.edu
% 0.13/10.38 % Model : x86_64 x86_64
% 0.13/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.38 % Memory : 8046.5625MB
% 0.13/10.38 % OS : Linux 6.8.0-71-generic
% 0.13/10.38 % CPULimit : 300
% 0.13/10.38 % WCLimit : 300
% 0.13/10.38 % DateTime : Sat Sep 26 13:32:38 UTC 2026
% 0.13/10.38 % CPUTime :
% 0.13/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.35/12.17 % SZS status Unsatisfiable for theBenchmark.p
% 13.35/12.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------