%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV324-1 : 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 : n020.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 09:02:02 AM UTC 2026
% Result : Unsatisfiable 216.49s 36.23s
% Output : CNFRefutation 216.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 68 ( 15 unt; 12 nHn; 56 RR)
% Number of literals : 125 ( 9 equ; 49 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% Number of variables : 126 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ) ).
cnf(cls_conjecture_6,negated_conjecture,
( 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uPublic$uOshrK'('v$uA') = 'v$uK' ) ).
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_Set_Osubset__antisym_0,axiom,
( X1 = X0
| ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$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_Oanalz_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X1)),'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_Message_Oparts__partsD__dest_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uMessage$uOparts'(X1)),'tc$uMessage$uOmsg') ) ).
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( 'c$uin'(X2,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X3)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X0,X1,X2),'c$uList$uOset'(X3,'tc$uEvent$uOevent'),'tc$uEvent$uOevent') ) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oparts_OBody__dest_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ) ).
cnf(c1,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c6,plain,
( 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uPublic$uOshrK'('v$uA') = 'v$uK' ),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c114,plain,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(c115,plain,
( 'c$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(c116,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_1]) ).
cnf(c117,plain,
( X1 = X0
| ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_Osubset__antisym_0]) ).
cnf(c1401,plain,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__analz_0]) ).
cnf(c1406,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_0]) ).
cnf(c1421,plain,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz_OInj_0]) ).
cnf(c1422,plain,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X1)),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__analzD__dest_0]) ).
cnf(c1433,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OInj_0]) ).
cnf(c1435,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uMessage$uOparts'(X1)),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts__partsD__dest_0]) ).
cnf(c1443,plain,
( 'c$uin'(X2,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X3)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X0,X1,X2),'c$uList$uOset'(X3,'tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).
cnf(c1446,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__into__parts__dest_0]) ).
cnf(c1447,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OBody__dest_0]) ).
cnf(d0,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'),X1,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1433,c116]) ).
cnf(d1,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'(X0,'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d0,c115]) ).
cnf(d2,plain,
( ~ 'c$ulessequals'('c$uMessage$uOparts'(X0),X0,'tc$uset'('tc$uMessage$uOmsg'))
| 'c$uMessage$uOparts'(X0) = X0 ),
inference(resolution,[status(thm)],[d1,c117]) ).
cnf(d3,plain,
( 'c$ulessequals'('c$uMessage$uOparts'('c$uMessage$uOparts'(X0)),X1,'tc$uset'('tc$uMessage$uOmsg'))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uMessage$uOparts'('c$uMessage$uOparts'(X0)),X1,'tc$uMessage$uOmsg'),'c$uMessage$uOparts'(X0),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1435,c115]) ).
cnf(d4,plain,
( 'c$ulessequals'('c$uMessage$uOparts'('c$uMessage$uOparts'(X0)),'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('c$uMessage$uOparts'('c$uMessage$uOparts'(X0)),'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d3,c116]) ).
cnf(d5,plain,
'c$uMessage$uOparts'('c$uMessage$uOparts'(X0)) = 'c$uMessage$uOparts'(X0),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1447,c1433]) ).
cnf(d7,plain,
( 'c$ulessequals'('c$uMessage$uOanalz'(X0),X1,'tc$uset'('tc$uMessage$uOmsg'))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uMessage$uOanalz'(X0),X1,'tc$uMessage$uOmsg'),'c$uMessage$uOparts'(X0),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1446,c115]) ).
cnf(d8,plain,
( 'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOparts'('c$uMessage$uOparts'(X0)),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOparts'('c$uMessage$uOparts'(X0)),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'('c$uMessage$uOparts'(X1)),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d8,c114]) ).
cnf(d10,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'('c$uMessage$uOparts'('c$uMessage$uOparts'(X2))),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X1),'c$uMessage$uOanalz'(X0),'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOparts'('c$uMessage$uOparts'(X0)),'tc$uMessage$uOmsg') ),
inference(demodulation,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X1),'c$uMessage$uOanalz'(X0),'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOparts'(X0),'tc$uMessage$uOmsg') ),
inference(demodulation,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg'),X1,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1421,c116]) ).
cnf(d14,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d13,c115]) ).
cnf(d15,plain,
( ~ 'c$ulessequals'('c$uMessage$uOanalz'(X0),X0,'tc$uset'('tc$uMessage$uOmsg'))
| 'c$uMessage$uOanalz'(X0) = X0 ),
inference(resolution,[status(thm)],[d14,c117]) ).
cnf(d16,plain,
( 'c$ulessequals'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),X1,'tc$uset'('tc$uMessage$uOmsg'))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),X1,'tc$uMessage$uOmsg'),'c$uMessage$uOanalz'(X0),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1422,c115]) ).
cnf(d17,plain,
( 'c$ulessequals'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d16,c116]) ).
cnf(d18,plain,
'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)) = 'c$uMessage$uOanalz'(X0),
inference(resolution,[status(thm)],[d17,d15]) ).
cnf(d19,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1401,c1421]) ).
cnf(d20,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X1)),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d19,c1421]) ).
cnf(d21,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X1))),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d20,c1421]) ).
cnf(d22,plain,
( 'c$uin'(X2,'c$uMessage$uOanalz'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X3))),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,'c$uMessage$uOmsg$uOMPair'(X1,X2)),X3,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d21,c1401]) ).
cnf(d23,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'(X3,X1)),X0,'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),'tc$uMessage$uOmsg') ),
inference(demodulation,[status(thm)],[d22,d18]) ).
cnf(d24,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'(X3,X1)),X0,'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOanalz'(X0),'tc$uMessage$uOmsg') ),
inference(demodulation,[status(thm)],[d23,d18]) ).
cnf(d25,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c1443,c1]) ).
cnf(d26,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOanalz'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso'))),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d26,d18]) ).
cnf(d28,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d27,d12]) ).
cnf(d29,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d28,c1406]) ).
cnf(d30,plain,
'c$uPublic$uOshrK'('v$uA') = 'v$uK',
inference(resolution,[status(thm)],[c2,c6]) ).
cnf(d31,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(d32,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d32,d29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV324-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 13:33:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.49/36.23 % SZS status Unsatisfiable for theBenchmark.p
% 216.49/36.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------