%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV757-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 09:04:40 AM UTC 2026
% Result : Unsatisfiable 91.16s 32.36s
% Output : CNFRefutation 91.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 29
% Syntax : Number of clauses : 137 ( 52 unt; 36 nHn; 75 RR)
% Number of literals : 244 ( 86 equ; 92 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 18 con; 0-3 aty)
% Number of variables : 243 ( 124 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_keymode_Osimps_I1_J_0,axiom,
'c$uPublic$uOkeymode$uOSignature' != 'c$uPublic$uOkeymode$uOEncryption' ).
cnf(cls_keymode_Oinduct_0,axiom,
( ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOSignature'))
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOEncryption'))
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_keymode_Osimps_I2_J_0,axiom,
'c$uPublic$uOkeymode$uOEncryption' != 'c$uPublic$uOkeymode$uOSignature' ).
cnf(cls_singletonE_0,axiom,
( ~ hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2))
| X0 = X1 ) ).
cnf(cls_Crypt__notin__initState_0,axiom,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOparts'('c$uEvent$uOinitState'(X2)),'tc$uMessage$uOmsg')) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)) ).
cnf(cls_initState__subset__knows_0,axiom,
'c$ulessequals'('c$uEvent$uOinitState'(X0),'c$uEvent$uOknows'(X0,X1),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')) ).
cnf(cls_Nonce__notin__initState_0,axiom,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uMessage$uOparts'('c$uEvent$uOinitState'(X1)),'tc$uMessage$uOmsg')) ).
cnf(cls_shrK__in__initState_0,axiom,
hBOOL('c$uin'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)),'c$uEvent$uOinitState'(X0),'tc$uMessage$uOmsg')) ).
cnf(cls_Nonce__supply1_0,axiom,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uONonce'('c$uPublic$uOsko$u$uPublic$u$uXNonce$u$usupply1$u$u1$u$u1'(X0)),'c$uEvent$uOused'(X0),'tc$uMessage$uOmsg')) ).
cnf(cls_insert__subset_0,axiom,
( ~ 'c$ulessequals'('c$uSet$uOinsert'(X0,X3,X2),X1,'tc$ufun'(X2,'tc$ubool'))
| hBOOL('c$uin'(X0,X1,X2)) ) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)) ).
cnf(cls_subset__insertI_0,axiom,
'c$ulessequals'(X0,'c$uSet$uOinsert'(X1,X0,X2),'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_insert__code_0,axiom,
( ~ hBOOL(hAPP('c$uSet$uOinsert'(X2,X0,X3),X1))
| X2 = X1
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_insert__code_2,axiom,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X3)) ) ).
cnf(cls_predicate1D_0,axiom,
( ~ 'c$ulessequals'(X2,X0,'tc$ufun'(X3,'tc$ubool'))
| ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_analz_OInj_0,axiom,
( ~ hBOOL('c$uin'(X0,X1,'tc$uMessage$uOmsg'))
| hBOOL('c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')) ) ).
cnf(cls_usedI_0,axiom,
( ~ hBOOL('c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg'))
| hBOOL('c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')) ) ).
cnf(cls_NS3__msg__in__parts__spies_0,axiom,
( ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'(X2,X3,'c$uMessage$uOmsg$uOCrypt'(X4,'c$uMessage$uOmsg$uOMPair'(X5,'c$uMessage$uOmsg$uOMPair'(X6,'c$uMessage$uOmsg$uOMPair'(X7,X0))))),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| hBOOL('c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg')) ) ).
cnf(cls_Oops__parts__spies_0,axiom,
( ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X2,'c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK',X2),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'(X4,'c$uMessage$uOmsg$uOMPair'(X0,X5))))),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| hBOOL('c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg')) ) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X1,X0))
| hBOOL('c$uin'(X0,X1,X2)) ) ).
cnf(cls_mem__def_0,axiom,
( ~ hBOOL('c$uin'(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_not__parts__not__analz_0,axiom,
( hBOOL('c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'))
| ~ hBOOL('c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')) ) ).
cnf(cls_conjecture_4,negated_conjecture,
~ hBOOL('c$uin'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')) ).
cnf(cls_conjecture_5,negated_conjecture,
hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK','v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'v$uX'))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')) ).
cnf(cls_conjecture_6,negated_conjecture,
'v$uK' = 'v$uKa' ).
cnf(cls_conjecture_7,negated_conjecture,
'v$uNB' = 'v$uNBa' ).
cnf(cls_conjecture_8,negated_conjecture,
~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('v$uB','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uKa','c$uMessage$uOmsg$uONonce'('v$uNBa'))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')) ).
cnf(cls_conjecture_10,negated_conjecture,
( ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK','v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'v$uX'))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| ~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'))
| hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('v$uB','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB'))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')) ) ).
cnf(c28,plain,
'c$uPublic$uOkeymode$uOSignature' != 'c$uPublic$uOkeymode$uOEncryption',
inference(clausification,[status(esa)],[cls_keymode_Osimps_I1_J_0]) ).
cnf(c30,plain,
( ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOSignature'))
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOEncryption'))
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_keymode_Oinduct_0]) ).
cnf(c37,plain,
'c$uPublic$uOkeymode$uOEncryption' != 'c$uPublic$uOkeymode$uOSignature',
inference(clausification,[status(esa)],[cls_keymode_Osimps_I2_J_0]) ).
cnf(c62,plain,
( ~ hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2))
| X0 = X1 ),
inference(clausification,[status(esa)],[cls_singletonE_0]) ).
cnf(c140,plain,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOparts'('c$uEvent$uOinitState'(X2)),'tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Crypt__notin__initState_0]) ).
cnf(c166,plain,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)),
inference(clausification,[status(esa)],[cls_bot1E_0]) ).
cnf(c240,plain,
'c$ulessequals'('c$uEvent$uOinitState'(X0),'c$uEvent$uOknows'(X0,X1),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(clausification,[status(esa)],[cls_initState__subset__knows_0]) ).
cnf(c256,plain,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uMessage$uOparts'('c$uEvent$uOinitState'(X1)),'tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Nonce__notin__initState_0]) ).
cnf(c260,plain,
hBOOL('c$uin'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)),'c$uEvent$uOinitState'(X0),'tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_shrK__in__initState_0]) ).
cnf(c264,plain,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uONonce'('c$uPublic$uOsko$u$uPublic$u$uXNonce$u$usupply1$u$u1$u$u1'(X0)),'c$uEvent$uOused'(X0),'tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Nonce__supply1_0]) ).
cnf(c323,plain,
( ~ 'c$ulessequals'('c$uSet$uOinsert'(X0,X3,X2),X1,'tc$ufun'(X2,'tc$ubool'))
| hBOOL('c$uin'(X0,X1,X2)) ),
inference(clausification,[status(esa)],[cls_insert__subset_0]) ).
cnf(c329,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)),
inference(clausification,[status(esa)],[cls_insert__code_1]) ).
cnf(c331,plain,
'c$ulessequals'(X0,'c$uSet$uOinsert'(X1,X0,X2),'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_subset__insertI_0]) ).
cnf(c332,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'(X2,X0,X3),X1))
| X2 = X1
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_insert__code_0]) ).
cnf(c337,plain,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X3)) ),
inference(clausification,[status(esa)],[cls_insert__code_2]) ).
cnf(c436,plain,
( ~ 'c$ulessequals'(X2,X0,'tc$ufun'(X3,'tc$ubool'))
| ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_predicate1D_0]) ).
cnf(c493,plain,
( ~ hBOOL('c$uin'(X0,X1,'tc$uMessage$uOmsg'))
| hBOOL('c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_analz_OInj_0]) ).
cnf(c496,plain,
( ~ hBOOL('c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg'))
| hBOOL('c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_usedI_0]) ).
cnf(c497,plain,
( ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'(X2,X3,'c$uMessage$uOmsg$uOCrypt'(X4,'c$uMessage$uOmsg$uOMPair'(X5,'c$uMessage$uOmsg$uOMPair'(X6,'c$uMessage$uOmsg$uOMPair'(X7,X0))))),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| hBOOL('c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_NS3__msg__in__parts__spies_0]) ).
cnf(c516,plain,
( ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X2,'c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK',X2),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'(X4,'c$uMessage$uOmsg$uOMPair'(X0,X5))))),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| hBOOL('c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Oops__parts__spies_0]) ).
cnf(c526,plain,
( ~ hBOOL(hAPP(X1,X0))
| hBOOL('c$uin'(X0,X1,X2)) ),
inference(clausification,[status(esa)],[cls_mem__def_1]) ).
cnf(c527,plain,
( ~ hBOOL('c$uin'(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_mem__def_0]) ).
cnf(c545,plain,
( hBOOL('c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'))
| ~ hBOOL('c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_not__parts__not__analz_0]) ).
cnf(c552,plain,
~ hBOOL('c$uin'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c553,plain,
hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK','v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'v$uX'))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c554,plain,
'v$uK' = 'v$uKa',
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c555,plain,
'v$uNB' = 'v$uNBa',
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(c556,plain,
~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('v$uB','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uKa','c$uMessage$uOmsg$uONonce'('v$uNBa'))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_8]) ).
cnf(c558,plain,
( ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK','v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'v$uX'))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| ~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'))
| hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('v$uB','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB'))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_conjecture_10]) ).
cnf(d0,plain,
~ hBOOL(hAPP('c$uEvent$uOused'(X0),'c$uMessage$uOmsg$uONonce'('c$uPublic$uOsko$u$uPublic$u$uXNonce$u$usupply1$u$u1$u$u1'(X0)))),
inference(resolution,[status(thm)],[c526,c264]) ).
cnf(d1,plain,
( ~ hBOOL(hAPP('c$uMessage$uOanalz'(X1),X0))
| hBOOL('c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c545,c526]) ).
cnf(d2,plain,
~ hBOOL(hAPP('c$uMessage$uOanalz'('c$uEvent$uOinitState'(X0)),'c$uMessage$uOmsg$uONonce'(X1))),
inference(resolution,[status(thm)],[d1,c256]) ).
cnf(d3,plain,
( hBOOL(hAPP('c$uMessage$uOanalz'(X1),X0))
| ~ hBOOL('c$uin'(X0,X1,'tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c493,c527]) ).
cnf(d4,plain,
( ~ hBOOL(hAPP(X0,X1))
| hBOOL(hAPP('c$uMessage$uOanalz'(X0),X1)) ),
inference(resolution,[status(thm)],[d3,c526]) ).
cnf(d5,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'(X1,X0,X2),'c$uPublic$uOkeymode$uOSignature'))
| hBOOL(hAPP('c$uSet$uOinsert'(X1,X0,X2),X3))
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOEncryption')) ),
inference(resolution,[status(thm)],[c337,c30]) ).
cnf(d6,plain,
( hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X0,X1),X2))
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOEncryption')) ),
inference(resolution,[status(thm)],[d5,c329]) ).
cnf(d7,plain,
( hBOOL(hAPP(X0,X1))
| 'c$uPublic$uOkeymode$uOSignature' = X1
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOEncryption')) ),
inference(resolution,[status(thm)],[d6,c332]) ).
cnf(d8,plain,
( ~ hBOOL(hAPP(X1,'c$uPublic$uOkeymode$uOEncryption'))
| hBOOL(hAPP('c$uMessage$uOanalz'(X1),X0))
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),'c$uPublic$uOkeymode$uOEncryption'))
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
hBOOL(hAPP('c$uEvent$uOinitState'(X0),hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)))),
inference(resolution,[status(thm)],[c260,c527]) ).
cnf(d11,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X0,X1),'c$uPublic$uOkeymode$uOSignature'))
| hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X0,X1),X2)) ),
inference(resolution,[status(thm)],[c30,c329]) ).
cnf(d12,plain,
( ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOSignature'))
| hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X0,X1),X2)) ),
inference(resolution,[status(thm)],[d11,c337]) ).
cnf(d13,plain,
( hBOOL(hAPP(X0,X1))
| 'c$uPublic$uOkeymode$uOEncryption' = X1
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOSignature')) ),
inference(resolution,[status(thm)],[d12,c332]) ).
cnf(d14,plain,
( ~ hBOOL(hAPP(X1,'c$uPublic$uOkeymode$uOSignature'))
| hBOOL(hAPP('c$uMessage$uOanalz'(X1),X0))
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d13,d4]) ).
cnf(d15,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),'c$uPublic$uOkeymode$uOSignature'))
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X0))
| X0 = X1 ),
inference(resolution,[status(thm)],[c62,c526]) ).
cnf(d17,plain,
( hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X1,X2),X0))
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d7,c329]) ).
cnf(d18,plain,
( X0 = 'c$uPublic$uOkeymode$uOEncryption'
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( X0 = 'c$uPublic$uOkeymode$uOEncryption'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),X0)) ),
inference(superposition,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)) = 'c$uPublic$uOkeymode$uOEncryption' ),
inference(resolution,[status(thm)],[d19,d10]) ).
cnf(d21,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| hBOOL(hAPP('c$uEvent$uOinitState'(X0),'c$uPublic$uOkeymode$uOEncryption')) ),
inference(superposition,[status(thm)],[d20,d10]) ).
cnf(d22,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d21,d9]) ).
cnf(d23,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| ~ hBOOL(hAPP('c$uEvent$uOused'(X0),'c$uPublic$uOkeymode$uOEncryption')) ),
inference(superposition,[status(thm)],[d22,d0]) ).
cnf(d24,plain,
hBOOL('c$uin'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c553,c516]) ).
cnf(d25,plain,
hBOOL('c$uin'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'c$uEvent$uOused'('v$uevs4'),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d24,c496]) ).
cnf(d26,plain,
hBOOL(hAPP('c$uEvent$uOused'('v$uevs4'),hAPP('c$uMessage$uOmsg$uOKey','v$uK'))),
inference(resolution,[status(thm)],[d25,c527]) ).
cnf(d27,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X0),X2))
| hBOOL(hAPP('c$uEvent$uOknows'(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c436,c240]) ).
cnf(d28,plain,
~ hBOOL(hAPP('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),hAPP('c$uMessage$uOmsg$uOKey','v$uK'))),
inference(resolution,[status(thm)],[c552,c526]) ).
cnf(d29,plain,
( ~ hBOOL(hAPP('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'c$uPublic$uOkeymode$uOSignature'))
| 'c$uPublic$uOkeymode$uOEncryption' = hAPP('c$uMessage$uOmsg$uOKey','v$uK') ),
inference(resolution,[status(thm)],[d14,d28]) ).
cnf(d30,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy'),'c$uPublic$uOkeymode$uOSignature'))
| 'c$uPublic$uOkeymode$uOEncryption' = hAPP('c$uMessage$uOmsg$uOKey','v$uK') ),
inference(resolution,[status(thm)],[d29,d27]) ).
cnf(d31,plain,
hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,X2,X3),X3),X3)),
inference(resolution,[status(thm)],[c323,c331]) ).
cnf(d32,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,'c$uSet$uOinsert'(X1,X2,X3),X3),X1)),
inference(resolution,[status(thm)],[d31,c527]) ).
cnf(d33,plain,
hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption','c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X0,X1),X1),X2)),
inference(resolution,[status(thm)],[d11,d32]) ).
cnf(d34,plain,
( hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X1,X2),X0))
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d33,c332]) ).
cnf(d35,plain,
( hBOOL(hAPP(X1,X0))
| 'c$uPublic$uOkeymode$uOSignature' = X0
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d34,c332]) ).
cnf(d36,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d35,c166]) ).
cnf(d37,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d34,d16]) ).
cnf(d38,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOSignature' = X1
| X0 = X1 ),
inference(superposition,[status(thm)],[d37,d36]) ).
cnf(d39,plain,
( X1 = 'c$uPublic$uOkeymode$uOSignature'
| X1 = X0
| X0 != 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d38,c28]) ).
cnf(d40,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| X0 = 'c$uPublic$uOkeymode$uOEncryption' ),
inference(equality_resolution,[status(thm)],[d39]) ).
cnf(d41,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),X0)) ),
inference(superposition,[status(thm)],[d40,d9]) ).
cnf(d42,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)) = 'c$uPublic$uOkeymode$uOSignature' ),
inference(resolution,[status(thm)],[d41,d10]) ).
cnf(d43,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| hBOOL(hAPP('c$uEvent$uOinitState'(X0),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d42,d10]) ).
cnf(d44,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = hAPP('c$uMessage$uOmsg$uOKey','v$uK')
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d43,d30]) ).
cnf(d45,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0)
| hBOOL(hAPP('c$uEvent$uOused'('v$uevs4'),'c$uPublic$uOkeymode$uOEncryption')) ),
inference(superposition,[status(thm)],[d44,d26]) ).
cnf(d46,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d45,d23]) ).
cnf(d47,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| ~ hBOOL(hAPP('c$uEvent$uOused'(X0),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d46,d0]) ).
cnf(d48,plain,
hBOOL('c$uin'('v$uX','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c553,c497]) ).
cnf(d49,plain,
hBOOL('c$uin'('v$uX','c$uEvent$uOused'('v$uevs4'),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d48,c496]) ).
cnf(d50,plain,
hBOOL(hAPP('c$uEvent$uOused'('v$uevs4'),'v$uX')),
inference(resolution,[status(thm)],[d49,c527]) ).
cnf(d51,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOused'(X1),X0)) ),
inference(superposition,[status(thm)],[d40,d23]) ).
cnf(d52,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0)
| 'v$uX' = 'c$uPublic$uOkeymode$uOSignature' ),
inference(resolution,[status(thm)],[d51,d50]) ).
cnf(d53,plain,
( ~ hBOOL(hAPP('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'c$uPublic$uOkeymode$uOEncryption'))
| 'c$uPublic$uOkeymode$uOSignature' = hAPP('c$uMessage$uOmsg$uOKey','v$uK') ),
inference(resolution,[status(thm)],[d8,d28]) ).
cnf(d54,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy'),'c$uPublic$uOkeymode$uOEncryption'))
| 'c$uPublic$uOkeymode$uOSignature' = hAPP('c$uMessage$uOmsg$uOKey','v$uK') ),
inference(resolution,[status(thm)],[d53,d27]) ).
cnf(d55,plain,
( 'c$uPublic$uOkeymode$uOSignature' = hAPP('c$uMessage$uOmsg$uOKey','v$uK')
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d21,d54]) ).
cnf(d56,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0)
| hBOOL(hAPP('c$uEvent$uOused'('v$uevs4'),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d55,d26]) ).
cnf(d57,plain,
( 'v$uX' = 'c$uPublic$uOkeymode$uOSignature'
| ~ hBOOL(hAPP('c$uEvent$uOused'(X0),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d52,d0]) ).
cnf(d58,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0)
| 'v$uX' = 'c$uPublic$uOkeymode$uOSignature' ),
inference(resolution,[status(thm)],[d57,d56]) ).
cnf(d59,plain,
( 'v$uX' = 'c$uPublic$uOkeymode$uOSignature'
| 'v$uX' = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d58,d52]) ).
cnf(d60,plain,
'v$uX' = 'c$uPublic$uOkeymode$uOSignature',
inference(resolution,[status(thm)],[c28,d59]) ).
cnf(d61,plain,
hBOOL(hAPP('c$uEvent$uOused'('v$uevs4'),'c$uPublic$uOkeymode$uOSignature')),
inference(demodulation,[status(thm)],[d50,d60]) ).
cnf(d62,plain,
'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0),
inference(resolution,[status(thm)],[d61,d47]) ).
cnf(d63,plain,
hBOOL(hAPP('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),hAPP('c$uMessage$uOmsg$uOKey','v$uK'))),
inference(resolution,[status(thm)],[d24,c527]) ).
cnf(d64,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0)
| hBOOL(hAPP('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d55,d63]) ).
cnf(d65,plain,
( ~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'))
| hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('v$uB','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNBa'))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK','v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'v$uX'))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')) ),
inference(demodulation,[status(thm)],[c558,c555]) ).
cnf(d66,plain,
( ~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNBa')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'))
| hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('v$uB','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNBa'))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent'))
| ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK','v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'v$uX'))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')) ),
inference(demodulation,[status(thm)],[d65,c555]) ).
cnf(d67,plain,
~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('v$uB','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNBa'))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')),
inference(demodulation,[status(thm)],[c556,c554]) ).
cnf(d68,plain,
( ~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNBa')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'))
| ~ hBOOL('c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOCrypt'(hAPP('c$uPublic$uOshrK','v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'(hAPP('c$uMessage$uOmsg$uOKey','v$uK'),'v$uX'))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[d67,d66]) ).
cnf(d69,plain,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNBa')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c553,d68]) ).
cnf(d70,plain,
~ hBOOL(hAPP('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNBa')))),
inference(resolution,[status(thm)],[d69,c526]) ).
cnf(d71,plain,
~ hBOOL(hAPP('c$uMessage$uOanalz'('c$uEvent$uOinitState'(X0)),'c$uMessage$uOmsg$uOCrypt'(X1,X2))),
inference(resolution,[status(thm)],[d1,c140]) ).
cnf(d72,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X2),'c$uPublic$uOkeymode$uOEncryption'))
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOCrypt'(X0,X1) ),
inference(resolution,[status(thm)],[d8,d71]) ).
cnf(d73,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOCrypt'(X1,X2)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d21,d72]) ).
cnf(d74,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0)
| ~ hBOOL(hAPP('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d73,d70]) ).
cnf(d75,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d74,d64]) ).
cnf(d76,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uPublic$uOkeymode$uOSignature' ),
inference(demodulation,[status(thm)],[d75,d62]) ).
cnf(d77,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uPublic$uOkeymode$uOSignature' ),
inference(demodulation,[status(thm)],[d76,d62]) ).
cnf(d78,plain,
$false,
inference(resolution,[status(thm)],[c37,d77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV757-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.45 % Computer : n020.cluster.edu
% 0.16/10.45 % Model : x86_64 x86_64
% 0.16/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.45 % Memory : 8046.5625MB
% 0.16/10.45 % OS : Linux 6.8.0-71-generic
% 0.16/10.46 % CPULimit : 300
% 0.16/10.46 % WCLimit : 300
% 0.16/10.46 % DateTime : Sat Sep 26 14:56:01 UTC 2026
% 0.16/10.46 % CPUTime :
% 0.16/10.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.16/32.36 % SZS status Unsatisfiable for theBenchmark.p
% 91.16/32.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------