%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV275-2 : 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 : n026.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 09:01:51 AM UTC 2026
% Result : Unsatisfiable 53.32s 13.44s
% Output : CNFRefutation 53.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 7 unt; 7 nHn; 20 RR)
% Number of literals : 60 ( 5 equ; 23 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Osynth_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Osynth__mono_0,axiom,
( 'c$ulessequals'('c$uMessage$uOsynth'(X0),'c$uMessage$uOsynth'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ) ).
cnf(cls_Set_OinsertCI_0,axiom,
( 'c$uin'(X0,'c$uinsert'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OinsertCI_1,axiom,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),X2) ).
cnf(cls_Set_OinsertE_0,axiom,
( X0 = X1
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uinsert'(X1,X2,X3),X3) ) ).
cnf(cls_Set_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_0,negated_conjecture,
~ 'c$ulessequals'('c$uinsert'('v$uX','c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(c0,plain,
( 'c$uin'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Osynth_OInj_0]) ).
cnf(c1,plain,
( 'c$ulessequals'('c$uMessage$uOsynth'(X0),'c$uMessage$uOsynth'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Osynth__mono_0]) ).
cnf(c2,plain,
( 'c$uin'(X0,'c$uinsert'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OinsertCI_0]) ).
cnf(c3,plain,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),X2),
inference(clausification,[status(esa)],[cls_Set_OinsertCI_1]) ).
cnf(c4,plain,
( X3 = X0
| ~ 'c$uin'(X0,'c$uinsert'(X3,X1,X2),X2)
| 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OinsertE_0]) ).
cnf(c5,plain,
( 'c$uin'(X3,X1,X2)
| ~ 'c$uin'(X3,X0,X2)
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(c6,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c7,plain,
( 'c$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(c8,plain,
~ 'c$ulessequals'('c$uinsert'('v$uX','c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg'),X1,'tc$uMessage$uOmsg')
| 'c$ulessequals'(X0,'c$uMessage$uOsynth'(X1),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(d1,plain,
( 'c$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)
| X0 = 'c$uMain$uOsubsetI$u$u1'('c$uinsert'(X0,X1,X2),X3,X2) ),
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uinsert'(X1,X2,X3),X3),X2,X3)
| 'c$ulessequals'(X0,'c$uinsert'(X1,X2,X3),'tc$uset'(X3)) ),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(d3,plain,
( 'c$ulessequals'(X0,'c$uinsert'(X1,X0,X2),'tc$uset'(X2))
| 'c$ulessequals'(X0,'c$uinsert'(X1,X0,X2),'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
( ~ 'c$ulessequals'(X2,X1,'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d5,plain,
( 'c$uin'(X0,'c$uMessage$uOsynth'('c$uinsert'(X2,X1,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOsynth'('c$uinsert'(X1,X2,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOsynth'('c$uinsert'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
( 'c$ulessequals'('c$uinsert'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'(X2,X1,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| X0 = 'c$uMain$uOsubsetI$u$u1'('c$uinsert'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'(X2,X1,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$ulessequals'('c$uinsert'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'(X2,X1,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
'v$uX' = 'c$uMain$uOsubsetI$u$u1'('c$uinsert'('v$uX','c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d7,c8]) ).
cnf(d9,plain,
( 'c$ulessequals'('c$uinsert'('v$uX','c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'('v$uX','c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
'c$ulessequals'('c$uinsert'('v$uX','c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c3,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c8,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV275-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n026.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sat Sep 26 13:29:01 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.32/13.44 % SZS status Unsatisfiable for theBenchmark.p
% 53.32/13.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------