%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV730-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:04:37 AM UTC 2026
% Result : Unsatisfiable 172.84s 32.33s
% Output : CNFRefutation 172.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 30
% Syntax : Number of clauses : 148 ( 70 unt; 44 nHn; 37 RR)
% Number of literals : 248 ( 136 equ; 73 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 10 con; 0-4 aty)
% Number of variables : 349 ( 171 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_doubleton__eq__iff_4,axiom,
'c$uSet$uOinsert'(X0,'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2) = 'c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2) ).
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_Un__empty__left_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1,'tc$ufun'(X0,'tc$ubool')) = X1 ).
cnf(cls_keymode_Osimps_I2_J_0,axiom,
'c$uPublic$uOkeymode$uOEncryption' != 'c$uPublic$uOkeymode$uOSignature' ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)) ).
cnf(cls_singletonE_0,axiom,
( ~ hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2))
| X0 = X1 ) ).
cnf(cls_initState__Friend_0,axiom,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')) ).
cnf(cls_Un__insert__left_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(X0,X1,X2),X3,'tc$ufun'(X2,'tc$ubool')) = 'c$uSet$uOinsert'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X3,'tc$ufun'(X2,'tc$ubool')),X2) ).
cnf(cls_Un__assoc_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),X3,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X3,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_UnCI_1,axiom,
( ~ hBOOL('c$uin'(X0,X1,X3))
| hBOOL('c$uin'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),X3)) ) ).
cnf(cls_parts__increasing_0,axiom,
'c$ulessequals'(X0,'c$uMessage$uOparts'(X0),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')) ).
cnf(cls_used__Notes_0,axiom,
'c$uEvent$uOused'('c$uList$uOlist$uOCons'('c$uEvent$uOevent$uONotes'(X0,X1),X2,'tc$uEvent$uOevent')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMessage$uOparts'('c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg')),'c$uEvent$uOused'(X2),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')) ).
cnf(cls_subset__insertI_0,axiom,
'c$ulessequals'(X0,'c$uSet$uOinsert'(X1,X0,X2),'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'(X0,X1,X2,X3),'c$uSet$uOimage'(X0,X4,X2,X3),'tc$ufun'(X3,'tc$ubool')) = 'c$uSet$uOimage'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X4,'tc$ufun'(X2,'tc$ubool')),X2,X3) ).
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_Hash__notin__image__Key_0,axiom,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uOHash'(X0),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X1,'tc$unat','tc$uMessage$uOmsg'),'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_msg_Osimps_I37_J_0,axiom,
'c$uMessage$uOmsg$uOCrypt'(X0,X1) != 'c$uMessage$uOmsg$uONonce'(X2) ).
cnf(cls_msg_Osimps_I36_J_0,axiom,
'c$uMessage$uOmsg$uONonce'(X0) != 'c$uMessage$uOmsg$uOCrypt'(X1,X2) ).
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_analz__image__freshK__simps_I56_J_0,axiom,
'c$uSet$uOinsert'(hAPP(X0,X1),'c$uSet$uOimage'(X0,X2,X3,X4),X4) = 'c$uSet$uOimage'(X0,'c$uSet$uOinsert'(X1,X2,X3),X3,X4) ).
cnf(cls_insert__code_2,axiom,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X3)) ) ).
cnf(cls_insert__commute_0,axiom,
'c$uSet$uOinsert'(X0,'c$uSet$uOinsert'(X1,X2,X3),X3) = 'c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,X2,X3),X3) ).
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_1,axiom,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)) ).
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_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_parts_OInj_0,axiom,
( ~ hBOOL('c$uin'(X0,X1,'tc$uMessage$uOmsg'))
| hBOOL('c$uin'(X0,'c$uMessage$uOparts'(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(c19,plain,
'c$uSet$uOinsert'(X0,'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2) = 'c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2),
inference(clausification,[status(esa)],[cls_doubleton__eq__iff_4]) ).
cnf(c24,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(c30,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1,'tc$ufun'(X0,'tc$ubool')) = X1,
inference(clausification,[status(esa)],[cls_Un__empty__left_0]) ).
cnf(c32,plain,
'c$uPublic$uOkeymode$uOEncryption' != 'c$uPublic$uOkeymode$uOSignature',
inference(clausification,[status(esa)],[cls_keymode_Osimps_I2_J_0]) ).
cnf(c33,plain,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)),
inference(clausification,[status(esa)],[cls_bot1E_0]) ).
cnf(c49,plain,
( ~ hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X2))
| X0 = X1 ),
inference(clausification,[status(esa)],[cls_singletonE_0]) ).
cnf(c57,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(clausification,[status(esa)],[cls_initState__Friend_0]) ).
cnf(c61,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(X0,X1,X2),X3,'tc$ufun'(X2,'tc$ubool')) = 'c$uSet$uOinsert'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X3,'tc$ufun'(X2,'tc$ubool')),X2),
inference(clausification,[status(esa)],[cls_Un__insert__left_0]) ).
cnf(c73,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),X3,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X3,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__assoc_0]) ).
cnf(c103,plain,
( ~ hBOOL('c$uin'(X0,X1,X3))
| hBOOL('c$uin'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),X3)) ),
inference(clausification,[status(esa)],[cls_UnCI_1]) ).
cnf(c111,plain,
'c$ulessequals'(X0,'c$uMessage$uOparts'(X0),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(clausification,[status(esa)],[cls_parts__increasing_0]) ).
cnf(c129,plain,
'c$uEvent$uOused'('c$uList$uOlist$uOCons'('c$uEvent$uOevent$uONotes'(X0,X1),X2,'tc$uEvent$uOevent')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMessage$uOparts'('c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg')),'c$uEvent$uOused'(X2),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(clausification,[status(esa)],[cls_used__Notes_0]) ).
cnf(c138,plain,
'c$ulessequals'(X0,'c$uSet$uOinsert'(X1,X0,X2),'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_subset__insertI_0]) ).
cnf(c159,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'(X0,X1,X2,X3),'c$uSet$uOimage'(X0,X4,X2,X3),'tc$ufun'(X3,'tc$ubool')) = 'c$uSet$uOimage'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X4,'tc$ufun'(X2,'tc$ubool')),X2,X3),
inference(clausification,[status(esa)],[cls_analz__image__freshK__simps_I57_J_0]) ).
cnf(c196,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(c234,plain,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uOHash'(X0),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X1,'tc$unat','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Hash__notin__image__Key_0]) ).
cnf(c235,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(c293,plain,
'c$uMessage$uOmsg$uOCrypt'(X0,X1) != 'c$uMessage$uOmsg$uONonce'(X2),
inference(clausification,[status(esa)],[cls_msg_Osimps_I37_J_0]) ).
cnf(c294,plain,
'c$uMessage$uOmsg$uONonce'(X0) != 'c$uMessage$uOmsg$uOCrypt'(X1,X2),
inference(clausification,[status(esa)],[cls_msg_Osimps_I36_J_0]) ).
cnf(c336,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(c361,plain,
'c$uSet$uOinsert'(hAPP(X0,X1),'c$uSet$uOimage'(X0,X2,X3,X4),X4) = 'c$uSet$uOimage'(X0,'c$uSet$uOinsert'(X1,X2,X3),X3,X4),
inference(clausification,[status(esa)],[cls_analz__image__freshK__simps_I56_J_0]) ).
cnf(c376,plain,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X3)) ),
inference(clausification,[status(esa)],[cls_insert__code_2]) ).
cnf(c381,plain,
'c$uSet$uOinsert'(X0,'c$uSet$uOinsert'(X1,X2,X3),X3) = 'c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,X2,X3),X3),
inference(clausification,[status(esa)],[cls_insert__commute_0]) ).
cnf(c397,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(c414,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)),
inference(clausification,[status(esa)],[cls_insert__code_1]) ).
cnf(c461,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(c468,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(c495,plain,
( ~ hBOOL('c$uin'(X0,X1,'tc$uMessage$uOmsg'))
| hBOOL('c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_parts_OInj_0]) ).
cnf(c518,plain,
( ~ hBOOL(hAPP(X1,X0))
| hBOOL('c$uin'(X0,X1,X2)) ),
inference(clausification,[status(esa)],[cls_mem__def_1]) ).
cnf(c519,plain,
( ~ hBOOL('c$uin'(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_mem__def_0]) ).
cnf(d0,plain,
~ hBOOL(hAPP('c$uMessage$uOparts'('c$uEvent$uOinitState'(X0)),'c$uMessage$uOmsg$uOCrypt'(X1,X2))),
inference(resolution,[status(thm)],[c518,c461]) ).
cnf(d1,plain,
( hBOOL(hAPP('c$uMessage$uOparts'(X1),X0))
| ~ hBOOL('c$uin'(X0,X1,'tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c495,c519]) ).
cnf(d2,plain,
( ~ hBOOL(hAPP(X0,X1))
| hBOOL(hAPP('c$uMessage$uOparts'(X0),X1)) ),
inference(resolution,[status(thm)],[d1,c518]) ).
cnf(d3,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X0,X1),'c$uPublic$uOkeymode$uOSignature'))
| hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X0,X1),X2)) ),
inference(resolution,[status(thm)],[c24,c414]) ).
cnf(d4,plain,
( ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOSignature'))
| hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X0,X1),X2)) ),
inference(resolution,[status(thm)],[d3,c376]) ).
cnf(d5,plain,
( hBOOL(hAPP(X0,X1))
| 'c$uPublic$uOkeymode$uOEncryption' = X1
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOSignature')) ),
inference(resolution,[status(thm)],[d4,c397]) ).
cnf(d6,plain,
( ~ hBOOL(hAPP(X1,'c$uPublic$uOkeymode$uOSignature'))
| hBOOL(hAPP('c$uMessage$uOparts'(X1),X0))
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X2),'c$uPublic$uOkeymode$uOSignature'))
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOCrypt'(X0,X1) ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
hBOOL(hAPP('c$uEvent$uOinitState'(X0),hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)))),
inference(resolution,[status(thm)],[c468,c519]) ).
cnf(d9,plain,
~ hBOOL(hAPP('c$uMessage$uOparts'('c$uEvent$uOinitState'(X0)),'c$uMessage$uOmsg$uONonce'(X1))),
inference(resolution,[status(thm)],[c518,c336]) ).
cnf(d10,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)],[c376,c24]) ).
cnf(d11,plain,
( hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X0,X1),X2))
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOEncryption')) ),
inference(resolution,[status(thm)],[d10,c414]) ).
cnf(d12,plain,
( hBOOL(hAPP(X0,X1))
| 'c$uPublic$uOkeymode$uOSignature' = X1
| ~ hBOOL(hAPP(X0,'c$uPublic$uOkeymode$uOEncryption')) ),
inference(resolution,[status(thm)],[d11,c397]) ).
cnf(d13,plain,
( ~ hBOOL(hAPP(X1,'c$uPublic$uOkeymode$uOEncryption'))
| hBOOL(hAPP('c$uMessage$uOparts'(X1),X0))
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),'c$uPublic$uOkeymode$uOEncryption'))
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,X2,X3),X3),X3)),
inference(resolution,[status(thm)],[c196,c138]) ).
cnf(d16,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,'c$uSet$uOinsert'(X1,X2,X3),X3),X1)),
inference(resolution,[status(thm)],[d15,c519]) ).
cnf(d17,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)],[d3,d16]) ).
cnf(d18,plain,
( hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X1,X2),X0))
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d17,c397]) ).
cnf(d19,plain,
( hBOOL(hAPP(X1,X0))
| 'c$uPublic$uOkeymode$uOSignature' = X0
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d18,c397]) ).
cnf(d20,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d19,c33]) ).
cnf(d21,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),X2),X0))
| X0 = X1 ),
inference(resolution,[status(thm)],[c49,c518]) ).
cnf(d22,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| X0 = 'c$uPublic$uOkeymode$uOSignature' ),
inference(resolution,[status(thm)],[d21,d18]) ).
cnf(d23,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOSignature' = X1
| X0 = X1 ),
inference(superposition,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
( X1 = 'c$uPublic$uOkeymode$uOSignature'
| X1 = X0
| 'c$uPublic$uOkeymode$uOEncryption' != X0 ),
inference(superposition,[status(thm)],[d23,c32]) ).
cnf(d25,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| X0 = 'c$uPublic$uOkeymode$uOEncryption' ),
inference(equality_resolution,[status(thm)],[d24]) ).
cnf(d26,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),X0)) ),
inference(superposition,[status(thm)],[d25,d14]) ).
cnf(d27,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)],[d26,d8]) ).
cnf(d28,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| hBOOL(hAPP('c$uEvent$uOinitState'(X0),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d27,d8]) ).
cnf(d29,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOCrypt'(X1,X2)
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d28,d7]) ).
cnf(d30,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X3)
| 'c$uMessage$uOmsg$uONonce'(X2) != 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d29,c294]) ).
cnf(d31,plain,
~ hBOOL(hAPP('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X0,'tc$unat','tc$uMessage$uOmsg'),'c$uMessage$uOmsg$uOHash'(X1))),
inference(resolution,[status(thm)],[c234,c518]) ).
cnf(d32,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[c57,c19]) ).
cnf(d33,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d32,c61]) ).
cnf(d34,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d33,c61]) ).
cnf(d35,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d34,c61]) ).
cnf(d36,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d35,c61]) ).
cnf(d37,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d36,c61]) ).
cnf(d38,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d37,c61]) ).
cnf(d39,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d38,c381]) ).
cnf(d40,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d39,c73]) ).
cnf(d41,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d40,c30]) ).
cnf(d42,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d41,c159]) ).
cnf(d43,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0)))),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d42,c361]) ).
cnf(d44,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d43,c361]) ).
cnf(d45,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)) = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(hAPP('c$uPublic$uOshrK','c$uMessage$uOagent$uOFriend'(X0)),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOFriend'(X0))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOFriend'(X0))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat'),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d44,c361]) ).
cnf(d46,plain,
~ hBOOL(hAPP('c$uEvent$uOinitState'('c$uMessage$uOagent$uOFriend'(X0)),'c$uMessage$uOmsg$uOHash'(X1))),
inference(superposition,[status(thm)],[d45,d31]) ).
cnf(d47,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),'c$uPublic$uOkeymode$uOSignature'))
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d6,d9]) ).
cnf(d48,plain,
( hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X1,X2),X0))
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d12,c414]) ).
cnf(d49,plain,
( X0 = 'c$uPublic$uOkeymode$uOEncryption'
| 'c$uPublic$uOkeymode$uOSignature' = X0 ),
inference(resolution,[status(thm)],[d48,d21]) ).
cnf(d50,plain,
( X0 = 'c$uPublic$uOkeymode$uOEncryption'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),X0)) ),
inference(superposition,[status(thm)],[d49,d47]) ).
cnf(d51,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)],[d50,d8]) ).
cnf(d52,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| hBOOL(hAPP('c$uEvent$uOinitState'(X0),'c$uPublic$uOkeymode$uOEncryption')) ),
inference(superposition,[status(thm)],[d51,d8]) ).
cnf(d53,plain,
( hBOOL(hAPP('c$uEvent$uOinitState'(X2),X1))
| 'c$uPublic$uOkeymode$uOSignature' = X1
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d52,d12]) ).
cnf(d54,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOHash'(X0) ),
inference(resolution,[status(thm)],[d53,d46]) ).
cnf(d55,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOHash'(X2)
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' != 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d54,d30]) ).
cnf(d56,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOHash'(X0) ),
inference(equality_resolution,[status(thm)],[d55]) ).
cnf(d57,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOHash'(X1)
| ~ hBOOL('c$uin'('c$uPublic$uOkeymode$uOSignature','c$uEvent$uOused'(X0),'tc$uMessage$uOmsg')) ),
inference(superposition,[status(thm)],[d56,c235]) ).
cnf(d58,plain,
hBOOL('c$uin'(X0,'c$uMessage$uOparts'('c$uSet$uOinsert'(X0,X1,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c196,c111]) ).
cnf(d59,plain,
( ~ hBOOL('c$uin'(X3,'c$uMessage$uOparts'('c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'))
| hBOOL('c$uin'(X3,'c$uEvent$uOused'('c$uList$uOlist$uOCons'('c$uEvent$uOevent$uONotes'(X2,X0),X1,'tc$uEvent$uOevent')),'tc$uMessage$uOmsg')) ),
inference(superposition,[status(thm)],[c129,c103]) ).
cnf(d60,plain,
hBOOL('c$uin'(X0,'c$uEvent$uOused'('c$uList$uOlist$uOCons'('c$uEvent$uOevent$uONotes'(X1,X0),X2,'tc$uEvent$uOevent')),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d59,d58]) ).
cnf(d61,plain,
'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOHash'(X0),
inference(resolution,[status(thm)],[d60,d57]) ).
cnf(d62,plain,
~ hBOOL('c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOinitState'(X1),'tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c495,c336]) ).
cnf(d63,plain,
~ hBOOL(hAPP('c$uEvent$uOinitState'(X0),'c$uMessage$uOmsg$uONonce'(X1))),
inference(resolution,[status(thm)],[d62,c518]) ).
cnf(d64,plain,
( ~ hBOOL(hAPP('c$uEvent$uOinitState'(X2),'c$uPublic$uOkeymode$uOEncryption'))
| 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOCrypt'(X0,X1) ),
inference(resolution,[status(thm)],[d13,d0]) ).
cnf(d65,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uMessage$uOmsg$uOCrypt'(X1,X2)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d52,d64]) ).
cnf(d66,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X3)
| 'c$uMessage$uOmsg$uONonce'(X2) != 'c$uPublic$uOkeymode$uOSignature' ),
inference(superposition,[status(thm)],[d65,c294]) ).
cnf(d67,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X2)
| hBOOL(hAPP('c$uEvent$uOinitState'(X1),X0)) ),
inference(superposition,[status(thm)],[d22,d52]) ).
cnf(d68,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uMessage$uOmsg$uONonce'(X0) = 'c$uPublic$uOkeymode$uOSignature' ),
inference(resolution,[status(thm)],[d67,d63]) ).
cnf(d69,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X2)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOSignature' != 'c$uPublic$uOkeymode$uOSignature' ),
inference(superposition,[status(thm)],[d68,d66]) ).
cnf(d70,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(equality_resolution,[status(thm)],[d69]) ).
cnf(d71,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),'c$uPublic$uOkeymode$uOEncryption')) ),
inference(superposition,[status(thm)],[d70,d63]) ).
cnf(d72,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),X0)) ),
inference(superposition,[status(thm)],[d22,d71]) ).
cnf(d73,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)) = 'c$uPublic$uOkeymode$uOSignature' ),
inference(resolution,[status(thm)],[d72,d8]) ).
cnf(d74,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| hBOOL(hAPP('c$uEvent$uOinitState'(X0),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d73,d8]) ).
cnf(d75,plain,
( hBOOL(hAPP('c$uEvent$uOinitState'(X2),X1))
| 'c$uPublic$uOkeymode$uOEncryption' = X1
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X0) ),
inference(resolution,[status(thm)],[d74,d5]) ).
cnf(d76,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uONonce'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X0) ),
inference(resolution,[status(thm)],[d75,d46]) ).
cnf(d77,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X3)
| 'c$uMessage$uOmsg$uOCrypt'(X1,X2) != 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d76,c293]) ).
cnf(d78,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),'c$uPublic$uOkeymode$uOEncryption')) ),
inference(superposition,[status(thm)],[d76,d63]) ).
cnf(d79,plain,
( X0 = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X2)
| ~ hBOOL(hAPP('c$uEvent$uOinitState'(X1),X0)) ),
inference(superposition,[status(thm)],[d22,d78]) ).
cnf(d80,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X1)
| hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uPublic$uOshrK',X0)) = 'c$uPublic$uOkeymode$uOSignature' ),
inference(resolution,[status(thm)],[d79,d8]) ).
cnf(d81,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X1)
| hBOOL(hAPP('c$uEvent$uOinitState'(X0),'c$uPublic$uOkeymode$uOSignature')) ),
inference(superposition,[status(thm)],[d80,d8]) ).
cnf(d82,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOCrypt'(X1,X2)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X0) ),
inference(resolution,[status(thm)],[d81,d7]) ).
cnf(d83,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X3)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X2)
| 'c$uPublic$uOkeymode$uOEncryption' != 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d82,d77]) ).
cnf(d84,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X0) ),
inference(equality_resolution,[status(thm)],[d83]) ).
cnf(d85,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOmsg$uOHash'(X1)
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uPublic$uOkeymode$uOSignature' ),
inference(demodulation,[status(thm)],[d84,d61]) ).
cnf(d86,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uPublic$uOkeymode$uOSignature'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uPublic$uOkeymode$uOSignature' ),
inference(demodulation,[status(thm)],[d85,d61]) ).
cnf(d87,plain,
$false,
inference(resolution,[status(thm)],[c32,d86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV730-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.61 % Computer : n013.cluster.edu
% 0.16/0.61 % Model : x86_64 x86_64
% 0.16/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.61 % Memory : 8046.5625MB
% 0.16/0.61 % OS : Linux 6.8.0-71-generic
% 0.16/0.61 % CPULimit : 300
% 0.16/0.61 % WCLimit : 300
% 0.16/0.61 % DateTime : Sat Sep 26 14:51:06 UTC 2026
% 0.16/0.61 % CPUTime :
% 0.16/0.61 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 172.84/32.33 % SZS status Unsatisfiable for theBenchmark.p
% 172.84/32.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------