%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV313-2 : 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 : n013.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 09:01:59 AM UTC 2026
% Result : Unsatisfiable 6.86s 2.69s
% Output : CNFRefutation 6.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 15 unt; 4 nHn; 23 RR)
% Number of literals : 45 ( 0 equ; 24 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,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'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uin'('c$uEvent$uOevent$uONotes'('c$uMessage$uOagent$uOSpy','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$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$uin'('v$uB','c$uEvent$uObad','tc$uMessage$uOagent') ).
cnf(cls_conjecture_4,negated_conjecture,
'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_5,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs'),'tc$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$uOmsg') ) ).
cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom,
( 'c$uin'('c$uEvent$uOevent$uONotes'('c$uMessage$uOagent$uOSpy','c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'(X5,'c$uMessage$uOmsg$uOKey'(X4)))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'(X3,'c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uin'(X1,'c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'(X4),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ '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'(X5,'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')) ) ).
cnf(c0,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'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$uin'('c$uEvent$uOevent$uONotes'('c$uMessage$uOagent$uOSpy','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
~ 'c$uin'('v$uB','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c4,plain,
'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c5,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c6,plain,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz_OInj_0]) ).
cnf(c7,plain,
( 'c$uin'(X2,'c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'(X1,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| 'c$uin'(X4,'c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uin'('c$uEvent$uOevent$uONotes'('c$uMessage$uOagent$uOSpy','c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'(X5,'c$uMessage$uOmsg$uOKey'(X0)))),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ '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'(X4),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOKey'(X0))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X2),'c$uMessage$uOmsg$uOMPair'(X5,'c$uMessage$uOmsg$uOKey'(X0)))))),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_OtwayRees_Osecrecy__lemma__dest_0]) ).
cnf(d0,plain,
( 'c$uin'('c$uEvent$uOevent$uONotes'('c$uMessage$uOagent$uOSpy','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| 'c$uin'('v$uB','c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(d1,plain,
( 'c$uin'('c$uEvent$uOevent$uONotes'('c$uMessage$uOagent$uOSpy','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uB','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( 'c$uin'('c$uEvent$uOevent$uONotes'('c$uMessage$uOagent$uOSpy','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
( ~ 'c$uin'('v$uevs','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('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)],[c1,d2]) ).
cnf(d4,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c4,d3]) ).
cnf(d5,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c5,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV313-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n013.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 13:31:06 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/2.69 % SZS status Unsatisfiable for theBenchmark.p
% 6.86/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------