%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV296-2 : 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 09:01:56 AM UTC 2026
% Result : Unsatisfiable 19.36s 4.83s
% Output : CNFRefutation 19.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 24
% Syntax : Number of clauses : 125 ( 34 unt; 43 nHn; 125 RR)
% Number of literals : 314 ( 176 equ; 132 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 18 con; 0-3 aty)
% Number of variables : 100 ( 45 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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$uOmsg') ) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( 'c$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_Message_OMPair__analz_1,axiom,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oparts_OBody__dest_0,axiom,
( 'c$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(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( 'c$uin'('c$uEvent$uOevent$uOSays'('v$usko$u$uusf'(X1,X2,X0),X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom,
( '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$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOAgent'(X5)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOAgent'(X1))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_OtwayRees_Ounique__NA__dest_0,axiom,
( X4 = X3
| 'c$uin'(X1,'c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOAgent'(X4)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOAgent'(X3)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_Public_OMPair__used_0,axiom,
( 'c$uin'(X1,'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$uevs3','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_15,negated_conjecture,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' = 'v$uBa'
| 'c$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$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ) ).
cnf(cls_conjecture_17,negated_conjecture,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| '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$uevs3')),'tc$uMessage$uOmsg') ) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uKAB'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))))))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_37,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$uOset'('v$uevs3','tc$uEvent$uOevent'),'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$uevs3')),'tc$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$uOMPair'('v$ux','c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ) ).
cnf(cls_conjecture_4,negated_conjecture,
'c$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$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_5,negated_conjecture,
( 'v$uK' = 'v$uKAB'
| 'c$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$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ) ).
cnf(cls_conjecture_6,negated_conjecture,
( 'v$uK' = 'v$uKAB'
| ~ '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$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ) ).
cnf(cls_conjecture_68,negated_conjecture,
( 'v$uB' != 'v$uBa'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uA' = 'v$uBa'
| 'v$uNA' != 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' != 'v$uAa'
| 'v$uK' != 'v$uKAB'
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ) ).
cnf(cls_conjecture_69,negated_conjecture,
( 'v$uB' != 'v$uBa'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' != 'v$uAa'
| 'v$uK' != 'v$uKAB'
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ) ).
cnf(cls_conjecture_7,negated_conjecture,
( 'v$uA' = 'v$uAa'
| 'v$uA' = 'v$uBa'
| '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$uevs3')),'tc$uMessage$uOmsg') ) ).
cnf(cls_conjecture_9,negated_conjecture,
( 'v$uA' = 'v$uAa'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| '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$uevs3')),'tc$uMessage$uOmsg') ) ).
cnf(c0,plain,
( 'c$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$uOevent') ),
inference(clausification,[status(esa)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).
cnf(c1,plain,
( 'c$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(c2,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__analz_0]) ).
cnf(c3,plain,
( 'c$uin'(X0,'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_1]) ).
cnf(c4,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(c5,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OBody__dest_0]) ).
cnf(c6,plain,
( 'c$uin'('c$uEvent$uOevent$uOSays'('v$usko$u$uusf'(X1,X2,X0),X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_OtwayRees_OGets__imp__Says__dest_0]) ).
cnf(c7,plain,
( 'c$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$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOAgent'(X5)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOAgent'(X1))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0]) ).
cnf(c8,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X2),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOAgent'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X4)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X4,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X2),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOAgent'(X1)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X4)),'tc$uMessage$uOmsg')
| 'c$uin'(X2,'c$uEvent$uObad','tc$uMessage$uOagent')
| X0 = X1 ),
inference(clausification,[status(esa)],[cls_OtwayRees_Ounique__NA__dest_0]) ).
cnf(c9,plain,
( 'c$uin'(X1,'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uEvent$uOused'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Public_OMPair__used_0]) ).
cnf(c10,plain,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c11,plain,
'c$uin'('v$uevs3','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c12,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' = 'v$uBa'
| '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$uevs3')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_15]) ).
cnf(c13,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'c$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$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_17]) ).
cnf(c14,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uKAB'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c15,plain,
'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))))))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c16,plain,
( ~ 'c$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$uevs3','tc$uEvent$uOevent'),'tc$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$uOSpy','v$uevs3')),'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$ux','c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_conjecture_37]) ).
cnf(c17,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$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c18,plain,
( 'v$uK' = 'v$uKAB'
| '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$uevs3')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c19,plain,
( 'v$uK' = 'v$uKAB'
| ~ 'c$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$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c20,plain,
( 'v$uNA' != 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa'
| 'v$uK' != 'v$uKAB'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uB' != 'v$uBa'
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(clausification,[status(esa)],[cls_conjecture_68]) ).
cnf(c21,plain,
( 'v$uA' != 'v$uAa'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uK' != 'v$uKAB'
| 'v$uB' != 'v$uBa'
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(clausification,[status(esa)],[cls_conjecture_69]) ).
cnf(c22,plain,
( 'v$uA' = 'v$uAa'
| 'v$uA' = 'v$uBa'
| 'c$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$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(c23,plain,
( 'v$uA' = 'v$uAa'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'c$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$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_9]) ).
cnf(d0,plain,
'c$uin'('c$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$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c17,c0]) ).
cnf(d1,plain,
'c$uin'('c$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$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
'c$uin'('c$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$uB'))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
'c$uin'('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$uB')))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
'c$uin'('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$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( ~ 'c$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$uOSpy','v$uevs3')),'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$ux','c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(resolution,[status(thm)],[c17,c16]) ).
cnf(d6,plain,
( 'v$uK' = 'v$uKAB'
| ~ '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$uevs3')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d5,c19]) ).
cnf(d7,plain,
( 'v$uK' = 'v$uKAB'
| 'v$uK' = 'v$uKAB' ),
inference(resolution,[status(thm)],[d6,c18]) ).
cnf(d8,plain,
( 'v$uB' != 'v$uBa'
| 'v$uNA' != 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(resolution,[status(thm)],[d7,c20]) ).
cnf(d9,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[c12,c5]) ).
cnf(d10,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[d10,c9]) ).
cnf(d12,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c14,d7]) ).
cnf(d13,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
( 'v$uA' = 'v$uBa'
| 'v$uB' != 'v$uBa'
| 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'v$uNA' ),
inference(superposition,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
( 'v$uB' != 'v$uBa'
| 'v$uNA' != 'v$uNA'
| 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa'
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
( 'v$uB' != 'v$uBa'
| 'v$uNA' != 'v$uNA'
| 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa' ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( ~ 'c$uin'('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'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('v$uevs3','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| X0 = 'v$uB' ),
inference(resolution,[status(thm)],[d4,c8]) ).
cnf(d18,plain,
( ~ 'c$uin'('v$uevs3','c$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$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| X0 = 'v$uB' ),
inference(resolution,[status(thm)],[c10,d17]) ).
cnf(d19,plain,
( ~ 'c$uin'('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'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| X0 = 'v$uB' ),
inference(resolution,[status(thm)],[c11,d18]) ).
cnf(d20,plain,
( 'c$uin'(X2,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d21,plain,
( ~ 'c$uin'('v$uevs3','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa'))))))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d20,c15]) ).
cnf(d22,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa'))))))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c11,d21]) ).
cnf(d23,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d22,c2]) ).
cnf(d24,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa'))))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d23,c2]) ).
cnf(d25,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d25,c3]) ).
cnf(d27,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d26,c4]) ).
cnf(d28,plain,
( 'v$uA' = 'v$uBa'
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d13,d27]) ).
cnf(d29,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'v$uA' = 'v$uAa'
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[c22,c5]) ).
cnf(d30,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uA' = 'v$uAa'
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[d29,c1]) ).
cnf(d31,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uA' = 'v$uAa'
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[d30,c9]) ).
cnf(d32,plain,
( 'v$uA' = 'v$uAa'
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[d12,d31]) ).
cnf(d33,plain,
( 'v$uA' = 'v$uBa'
| 'v$uA' = 'v$uBa'
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d32,d28]) ).
cnf(d34,plain,
( 'v$uA' = 'v$uBa'
| 'v$uA' = 'v$uBa'
| 'c$uin'('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$uBa')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d32,d33]) ).
cnf(d35,plain,
( 'v$uBa' = 'v$uB'
| 'v$uA' = 'v$uBa' ),
inference(resolution,[status(thm)],[d34,d19]) ).
cnf(d36,plain,
( 'v$uA' = 'v$uBa'
| 'v$uNA' != 'v$uNA'
| 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa'
| 'v$uB' != 'v$uB' ),
inference(superposition,[status(thm)],[d35,d16]) ).
cnf(d37,plain,
( 'v$uNA' != 'v$uNA'
| 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa' ),
inference(equality_resolution,[status(thm)],[d36]) ).
cnf(d38,plain,
( 'v$uA' != 'v$uAa'
| 'v$uA' = 'v$uBa' ),
inference(equality_resolution,[status(thm)],[d37]) ).
cnf(d39,plain,
( 'v$uA' = 'v$uBa'
| 'v$uA' = 'v$uBa'
| 'v$uA' != 'v$uA' ),
inference(superposition,[status(thm)],[d32,d38]) ).
cnf(d40,plain,
'v$uA' = 'v$uBa',
inference(equality_resolution,[status(thm)],[d39]) ).
cnf(d41,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa'))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d25,c2]) ).
cnf(d42,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa'))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d41,d40]) ).
cnf(d43,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uA'))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d42,d40]) ).
cnf(d44,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uA'))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d43,c4]) ).
cnf(d45,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('v$uevs3','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[d44,c7]) ).
cnf(d46,plain,
( ~ 'c$uin'('v$uevs3','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c10,d45]) ).
cnf(d47,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c11,d46]) ).
cnf(d48,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uA' = 'v$uAa' ),
inference(resolution,[status(thm)],[c23,c5]) ).
cnf(d49,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uA' = 'v$uAa' ),
inference(resolution,[status(thm)],[d48,c1]) ).
cnf(d50,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uA' = 'v$uAa' ),
inference(resolution,[status(thm)],[d49,c9]) ).
cnf(d51,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uA' = 'v$uAa' ),
inference(resolution,[status(thm)],[d12,d50]) ).
cnf(d52,plain,
( 'v$uA' = 'v$uAa'
| ~ 'c$uin'('c$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$uOAgent'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d51,d47]) ).
cnf(d53,plain,
'v$uA' = 'v$uAa',
inference(resolution,[status(thm)],[d52,d4]) ).
cnf(d54,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa') ),
inference(resolution,[status(thm)],[c13,c5]) ).
cnf(d55,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOKey'('v$uK')),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa') ),
inference(resolution,[status(thm)],[d54,c1]) ).
cnf(d56,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa') ),
inference(resolution,[status(thm)],[d55,c9]) ).
cnf(d57,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa') ),
inference(resolution,[status(thm)],[d12,d56]) ).
cnf(d58,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uBa')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d57,d27]) ).
cnf(d59,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uA')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(demodulation,[status(thm)],[d58,d40]) ).
cnf(d60,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uA')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(demodulation,[status(thm)],[d59,d53]) ).
cnf(d61,plain,
( 'c$uin'('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$uA')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg')
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(demodulation,[status(thm)],[d60,d53]) ).
cnf(d62,plain,
( 'v$uA' = 'v$uB'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(resolution,[status(thm)],[d61,d19]) ).
cnf(d63,plain,
( 'v$uA' = 'v$uB'
| ~ 'c$uin'('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'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[d62,d47]) ).
cnf(d64,plain,
'v$uA' = 'v$uB',
inference(resolution,[status(thm)],[d63,d4]) ).
cnf(d65,plain,
'c$uin'('c$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$uOAgent'('v$uA')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d4,d64]) ).
cnf(d66,plain,
( 'v$uB' != 'v$uBa'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uA' != 'v$uAa'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(resolution,[status(thm)],[d7,c21]) ).
cnf(d67,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uB' != 'v$uBa'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uA' != 'v$uAa'
| X1 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'v$uNA' ),
inference(superposition,[status(thm)],[d57,d66]) ).
cnf(d68,plain,
( 'v$uB' != 'v$uBa'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'v$uNA'
| 'v$uA' != 'v$uAa'
| X0 != 'c$uMessage$uOmsg$uONonce'('v$uNB') ),
inference(equality_resolution,[status(thm)],[d67]) ).
cnf(d69,plain,
( 'v$uB' != 'v$uBa'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'v$uNA'
| 'v$uA' != 'v$uAa' ),
inference(equality_resolution,[status(thm)],[d68]) ).
cnf(d70,plain,
( 'v$uB' != 'v$uA'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'v$uNA'
| 'v$uA' != 'v$uAa' ),
inference(demodulation,[status(thm)],[d69,d40]) ).
cnf(d71,plain,
( 'v$uB' != 'v$uA'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'v$uNA' ),
inference(resolution,[status(thm)],[d53,d70]) ).
cnf(d72,plain,
( 'v$uA' != 'v$uA'
| 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uNA' != 'v$uNA' ),
inference(demodulation,[status(thm)],[d71,d64]) ).
cnf(d73,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB')
| 'v$uA' != 'v$uA' ),
inference(equality_resolution,[status(thm)],[d72]) ).
cnf(d74,plain,
'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNB'),
inference(equality_resolution,[status(thm)],[d73]) ).
cnf(d75,plain,
~ 'c$uin'('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'(X0)))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d47,d74]) ).
cnf(d76,plain,
$false,
inference(resolution,[status(thm)],[d75,d65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV296-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n005.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
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 13:29:01 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.36/4.83 % SZS status Unsatisfiable for theBenchmark.p
% 19.36/4.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------