%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV319-2 : 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 : n004.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 09:02:01 AM UTC 2026
% Result : Unsatisfiable 12.04s 2.24s
% Output : CNFRefutation 12.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 13 unt; 2 nHn; 28 RR)
% Number of literals : 43 ( 3 equ; 16 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 30 ( 10 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_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_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__conj__parts_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$uOmsg') ) ).
cnf(c0,plain,
'c$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(c1,plain,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c2,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$uOagent') ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c3,plain,
( 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uPublic$uOshrK'('v$uA') = 'v$uK' ),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c4,plain,
( 'c$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$uOevent') ),
inference(clausification,[status(esa)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).
cnf(c5,plain,
( 'c$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(c6,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_0]) ).
cnf(c7,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__conj__parts_0]) ).
cnf(c8,plain,
( 'c$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$uin'('c$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$uOmsg'),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
'c$uin'('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$uOmsg'),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
'c$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$uOmsg'),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
'c$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$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
'c$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$uOmsg'),
inference(resolution,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
'c$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)],[d4,c6]) ).
cnf(d6,plain,
'c$uPublic$uOshrK'('v$uA') = 'v$uK',
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(d7,plain,
( 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg') ),
inference(demodulation,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
~ 'c$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)],[c1,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV319-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 13:31:52 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.04/2.24 % SZS status Unsatisfiable for theBenchmark.p
% 12.04/2.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------