%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV302-2 : 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 : n005.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 09:01:57 AM UTC 2026
% Result : Unsatisfiable 11.24s 3.01s
% Output : CNFRefutation 11.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 12 unt; 4 nHn; 24 RR)
% Number of literals : 39 ( 5 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 18 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_13,negated_conjecture,
( 'v$uNB' = 'c$uMessage$uOmsg$uONonce'('v$uNBa')
| 'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','c$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$uOmsg$uOMPair'('v$ux','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))))))))),'c$uList$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ) ).
cnf(cls_conjecture_16,negated_conjecture,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs2')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','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$uOMPair'(X0,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))))))))),'c$uList$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$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$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNBa'),'c$uEvent$uOused'('v$uevs2'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_4,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs2')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_5,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$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
( 'c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( 'c$uin'(X0,'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_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$uOmsg') ) ).
cnf(c0,plain,
( 'v$uNB' = 'c$uMessage$uOmsg$uONonce'('v$uNBa')
| 'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','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$uOMPair'('v$ux','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))))))))),'c$uList$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_conjecture_13]) ).
cnf(c1,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs2')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','c$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$uOmsg$uOMPair'(X0,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))))))))),'c$uList$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| '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$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_conjecture_16]) ).
cnf(c2,plain,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNBa'),'c$uEvent$uOused'('v$uevs2'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs2')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c4,plain,
~ 'c$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$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c5,plain,
( 'c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).
cnf(c6,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_1]) ).
cnf(c7,plain,
( 'c$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'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs2')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(d1,plain,
'c$uin'('v$uNB','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs2')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
'c$uin'('v$uNB','c$uEvent$uOused'('v$uevs2'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( 'v$uNB' = 'c$uMessage$uOmsg$uONonce'('v$uNBa')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('v$uNB','c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs2')),'tc$uMessage$uOmsg')
| '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$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d4,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$uOset'('v$uevs2','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'v$uNB' = 'c$uMessage$uOmsg$uONonce'('v$uNBa') ),
inference(resolution,[status(thm)],[c3,d3]) ).
cnf(d5,plain,
'v$uNB' = 'c$uMessage$uOmsg$uONonce'('v$uNBa'),
inference(resolution,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
~ 'c$uin'('v$uNB','c$uEvent$uOused'('v$uevs2'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV302-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n005.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 13:29:46 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.24/3.01 % SZS status Unsatisfiable for theBenchmark.p
% 11.24/3.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------