%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV346-2 : 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 : n017.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 09:02:07 AM UTC 2026
% Result : Unsatisfiable 15.72s 7.42s
% Output : CNFRefutation 15.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 7 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 34 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Ounique__session__keys__dest_2,axiom,
( X9 = X4
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X7,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X7),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X8),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'(X3),'c$uMessage$uOmsg$uOMPair'(X9,X10)))),X11)),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X1,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'(X3),'c$uMessage$uOmsg$uOMPair'(X4,X5)))),X6)),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('v$uevso','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uAa','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uONonce'('v$uNB'))))),'v$uX')),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_4,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('v$una','v$unb')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_7,negated_conjecture,
'v$una' != 'c$uMessage$uOmsg$uONonce'('v$uNA') ).
cnf(c0,plain,
( X9 = X4
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X7,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X7),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X8),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'(X3),'c$uMessage$uOmsg$uOMPair'(X9,X10)))),X11)),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X1,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'(X3),'c$uMessage$uOmsg$uOMPair'(X4,X5)))),X6)),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_Yahalom_Ounique__session__keys__dest_2]) ).
cnf(c1,plain,
'c$uin'('v$uevso','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c2,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uAa','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uONonce'('v$uNB'))))),'v$uX')),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c3,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('v$una','v$unb')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c4,plain,
'v$una' != 'c$uMessage$uOmsg$uONonce'('v$uNA'),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X1,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'(X0,X3)))),X4)),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('v$uevso','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| X0 = 'c$uMessage$uOmsg$uONonce'('v$uNA') ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X1,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'(X0,X3)))),X4)),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| X0 = 'c$uMessage$uOmsg$uONonce'('v$uNA') ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
'v$una' = 'c$uMessage$uOmsg$uONonce'('v$uNA'),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c4,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV346-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n017.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 13:30:55 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.72/7.42 % SZS status Unsatisfiable for theBenchmark.p
% 15.72/7.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------