%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV288-1 : 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 : n012.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 09:01:54 AM UTC 2026
% Result : Unsatisfiable 21.83s 10.27s
% Output : CNFRefutation 21.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 15 unt; 2 nHn; 26 RR)
% Number of literals : 46 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% Number of variables : 30 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OtwayRees_ONA__Crypt__imp__Server__msg_0,axiom,
( 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X2,'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOKey'(X4))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X2),'c$uMessage$uOmsg$uOMPair'('v$usko$u$uu7f'(X1,X2,X4,X3,X0),'c$uMessage$uOmsg$uOKey'(X4)))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'(X1,'c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOKey'(X4))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X1,X2,'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOAgent'(X2)))))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uA','v$uB','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uB$uH','v$uA','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uList$uOset'('v$uevs','tc$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'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_4,negated_conjecture,
~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uB','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'(X0,'c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs','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$uOmsg') ) ).
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( 'c$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$uOmsg') ) ).
cnf(c0,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOKey'(X4))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X3,X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X3),'c$uMessage$uOmsg$uOAgent'(X1)))))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'(X3,'c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOKey'(X4))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'('v$usko$u$uu7f'(X3,X1,X4,X2,X0),'c$uMessage$uOmsg$uOKey'(X4)))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_OtwayRees_ONA__Crypt__imp__Server__msg_0]) ).
cnf(c2,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uA','v$uB','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c3,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uB$uH','v$uA','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c4,plain,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c5,plain,
'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c6,plain,
~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uB','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'(X0,'c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c1401,plain,
( 'c$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(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(d0,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c1443,c3]) ).
cnf(d1,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d0,c1401]) ).
cnf(d2,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d1,c1446]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('v$uA','v$uB','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d4,plain,
( ~ 'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( ~ 'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c5,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV288-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 13:28:04 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.83/10.27 % SZS status Unsatisfiable for theBenchmark.p
% 21.83/10.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------