%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV360-2 : 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 : 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 09:02:10 AM UTC 2026
% Result : Unsatisfiable 10.73s 3.03s
% Output : CNFRefutation 10.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 15 unt; 4 nHn; 20 RR)
% Number of literals : 34 ( 6 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 41 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_OSays__unique__NB_2,axiom,
( X3 = X10
| 'c$uin'(X6,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X7,X8,'c$uMessage$uOmsg$uOMPair'(X9,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X10),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X11),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X12),X6))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X5),X6))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uin'('v$uB','c$uEvent$uObad','tc$uMessage$uOagent') ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('v$uevs3','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_5,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_7,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_8,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_9,negated_conjecture,
'c$uin'('v$uBa','c$uEvent$uObad','tc$uMessage$uOagent') ).
cnf(c0,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X8,X9,'c$uMessage$uOmsg$uOMPair'(X10,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X7),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X11),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X12),X5))))),'c$uList$uOset'(X6,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'(X5,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X6)),'tc$uMessage$uOmsg')
| X2 = X7
| ~ 'c$uin'(X6,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X0,'c$uMessage$uOmsg$uOMPair'(X1,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X2),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X4),X5))))),'c$uList$uOset'(X6,'tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_Yahalom_OSays__unique__NB_2]) ).
cnf(c1,plain,
~ 'c$uin'('v$uB','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$uin'('v$uevs3','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c4,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(c5,plain,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_8]) ).
cnf(c6,plain,
'c$uin'('v$uBa','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_9]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X0),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X4),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('v$uevs3','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| X0 = 'v$uB' ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X0),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X4),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| X0 = 'v$uB' ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X0),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X4),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| X0 = 'v$uB' ),
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
'v$uBa' = 'v$uB',
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
'c$uin'('v$uB','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(demodulation,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV360-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n001.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 13:43:58 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.73/3.03 % SZS status Unsatisfiable for theBenchmark.p
% 10.73/3.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------