%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV731-1 : 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 : n018.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 81.54s 14.41s
% Output : CNFRefutation 81.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 31
% Syntax : Number of clauses : 146 ( 109 unt; 15 nHn; 82 RR)
% Number of literals : 195 ( 121 equ; 48 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-4 aty)
% Number of variables : 199 ( 59 sgn)
% Comments :
%------------------------------------------------------------------------------
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_initState__Server_0,axiom,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOServer'))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer'))),'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$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','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$ubool')) ).
cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X3,'tc$ubool')),X2,'tc$ufun'(X3,'tc$ubool')) ).
cnf(cls_Un__left__commute_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) ).
cnf(cls_sup__idem_0,axiom,
( 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X1,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ) ).
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__insert__right_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uSet$uOinsert'(X1,X2,X3),'tc$ufun'(X3,'tc$ubool')) = 'c$uSet$uOinsert'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X2,'tc$ufun'(X3,'tc$ubool')),X3) ).
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_bot1E_0,axiom,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)) ).
cnf(cls_sup__absorb1_0,axiom,
( ~ 'c$ulessequals'(X2,X1,X0)
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ) ).
cnf(cls_Un__absorb1_0,axiom,
( ~ 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = X1 ) ).
cnf(cls_empty__not__insert_0,axiom,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')) != 'c$uSet$uOinsert'(X1,X2,X0) ).
cnf(cls_initState__Spy_0,axiom,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','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$uOkeymode$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_sup__ge1_0,axiom,
( 'c$ulessequals'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0),X0)
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ) ).
cnf(cls_Un__commute_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X0,'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_image__Un_0,axiom,
'c$uSet$uOimage'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),X3,X4) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'(X0,X1,X3,X4),'c$uSet$uOimage'(X0,X2,X3,X4),'tc$ufun'(X4,'tc$ubool')) ).
cnf(cls_Un__UNIV__left_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')),X1,'tc$ufun'(X0,'tc$ubool')) = 'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')) ).
cnf(cls_synth__increasing_0,axiom,
'c$ulessequals'(X0,'c$uMessage$uOsynth'(X0),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')) ).
cnf(cls_insert__Key__image_0,axiom,
'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',X0),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X1,'tc$unat','tc$uMessage$uOmsg'),X2,'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(X0,X1,'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),X2,'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')) ).
cnf(cls_keysFor__image__Key_0,axiom,
'c$uMessage$uOkeysFor'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X0,'tc$unat','tc$uMessage$uOmsg')) = 'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$unat','tc$ubool')) ).
cnf(cls_insert__absorb_0,axiom,
( ~ hBOOL(hAPP(hAPP('c$uin'(X2),X0),X1))
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ) ).
cnf(cls_insert__commute_0,axiom,
'c$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$uOinsert'(X0,X1,X2),X0)) ).
cnf(cls_synth_OAgent_0,axiom,
hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOmsg'),'c$uMessage$uOmsg$uOAgent'(X0)),'c$uMessage$uOsynth'(X1))) ).
cnf(cls_Server__not__bad_0,axiom,
~ hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOagent'),'c$uMessage$uOagent$uOServer'),'c$uEvent$uObad')) ).
cnf(cls_Spy__in__bad_0,axiom,
hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOagent'),'c$uMessage$uOagent$uOSpy'),'c$uEvent$uObad')) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP('c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')),X1)) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP('c$uin'(X0),X1),X2)) ) ).
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOagent'),'v$uA'),'c$uEvent$uObad')) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
'class$uLattices$uOupper$u$usemilattice'('tc$unat') ).
cnf(c14,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(c16,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOServer'))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer'))),'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$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','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$ubool')),
inference(clausification,[status(esa)],[cls_initState__Server_0]) ).
cnf(c17,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X3,'tc$ubool')),X2,'tc$ufun'(X3,'tc$ubool')),
inference(clausification,[status(esa)],[cls_analz__image__freshK__simps_I65_J_0]) ).
cnf(c21,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__left__commute_0]) ).
cnf(c31,plain,
( 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X1,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_sup__idem_0]) ).
cnf(c40,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(c41,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uSet$uOinsert'(X1,X2,X3),'tc$ufun'(X3,'tc$ubool')) = 'c$uSet$uOinsert'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X2,'tc$ufun'(X3,'tc$ubool')),X3),
inference(clausification,[status(esa)],[cls_Un__insert__right_0]) ).
cnf(c63,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(c70,plain,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)),
inference(clausification,[status(esa)],[cls_bot1E_0]) ).
cnf(c84,plain,
( ~ 'c$ulessequals'(X2,X1,X0)
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_sup__absorb1_0]) ).
cnf(c87,plain,
( ~ 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = X1 ),
inference(clausification,[status(esa)],[cls_Un__absorb1_0]) ).
cnf(c96,plain,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')) != 'c$uSet$uOinsert'(X1,X2,X0),
inference(clausification,[status(esa)],[cls_empty__not__insert_0]) ).
cnf(c100,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','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$uOkeymode$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__Spy_0]) ).
cnf(c109,plain,
( 'c$ulessequals'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0),X0)
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_sup__ge1_0]) ).
cnf(c122,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X0,'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__commute_0]) ).
cnf(c153,plain,
'c$uSet$uOimage'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),X3,X4) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'(X0,X1,X3,X4),'c$uSet$uOimage'(X0,X2,X3,X4),'tc$ufun'(X4,'tc$ubool')),
inference(clausification,[status(esa)],[cls_image__Un_0]) ).
cnf(c174,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')),X1,'tc$ufun'(X0,'tc$ubool')) = 'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__UNIV__left_0]) ).
cnf(c203,plain,
'c$ulessequals'(X0,'c$uMessage$uOsynth'(X0),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(clausification,[status(esa)],[cls_synth__increasing_0]) ).
cnf(c235,plain,
'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',X0),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X1,'tc$unat','tc$uMessage$uOmsg'),X2,'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(X0,X1,'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),X2,'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(clausification,[status(esa)],[cls_insert__Key__image_0]) ).
cnf(c310,plain,
'c$uMessage$uOkeysFor'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X0,'tc$unat','tc$uMessage$uOmsg')) = 'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$unat','tc$ubool')),
inference(clausification,[status(esa)],[cls_keysFor__image__Key_0]) ).
cnf(c421,plain,
( ~ hBOOL(hAPP(hAPP('c$uin'(X2),X0),X1))
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ),
inference(clausification,[status(esa)],[cls_insert__absorb_0]) ).
cnf(c457,plain,
'c$uSet$uOinsert'(X0,'c$uSet$uOinsert'(X1,X2,X3),X3) = 'c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,X2,X3),X3),
inference(clausification,[status(esa)],[cls_insert__commute_0]) ).
cnf(c469,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'(X2,X0,X3),X1))
| X2 = X1
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_insert__code_0]) ).
cnf(c483,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)),
inference(clausification,[status(esa)],[cls_insert__code_1]) ).
cnf(c515,plain,
hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOmsg'),'c$uMessage$uOmsg$uOAgent'(X0)),'c$uMessage$uOsynth'(X1))),
inference(clausification,[status(esa)],[cls_synth_OAgent_0]) ).
cnf(c530,plain,
~ hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOagent'),'c$uMessage$uOagent$uOServer'),'c$uEvent$uObad')),
inference(clausification,[status(esa)],[cls_Server__not__bad_0]) ).
cnf(c565,plain,
hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOagent'),'c$uMessage$uOagent$uOSpy'),'c$uEvent$uObad')),
inference(clausification,[status(esa)],[cls_Spy__in__bad_0]) ).
cnf(c568,plain,
hBOOL(hAPP('c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')),X1)),
inference(clausification,[status(esa)],[cls_top1I_0]) ).
cnf(c583,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP('c$uin'(X0),X1),X2)) ),
inference(clausification,[status(esa)],[cls_mem__def_1]) ).
cnf(c602,plain,
~ hBOOL(hAPP(hAPP('c$uin'('tc$uMessage$uOagent'),'v$uA'),'c$uEvent$uObad')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c615,plain,
'class$uLattices$uOupper$u$usemilattice'('tc$unat'),
inference(clausification,[status(esa)],[clsarity_nat__Lattices_Oupper__semilattice]) ).
cnf(d0,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$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$uOagent$uOServer'))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer'))),'c$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$ubool')),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','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$ubool')),
inference(demodulation,[status(thm)],[c16,c17]) ).
cnf(d1,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = '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$uOagent$uOServer'))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'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$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d0,c17]) ).
cnf(d2,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer'))),'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$uOagent$uOServer'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'c$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$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','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$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d1,c40]) ).
cnf(d3,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer'))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer'))),'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$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d2,c40]) ).
cnf(d4,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer'))),'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer'))),'c$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$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','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$uOmsg'),
inference(demodulation,[status(thm)],[d3,c63]) ).
cnf(d5,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOinsert'(hAPP('c$uMessage$uOmsg$uOKey',hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer'))),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOServer')),'c$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$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$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'),
inference(demodulation,[status(thm)],[d4,c235]) ).
cnf(d6,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$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$unat'),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','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$ubool')),
inference(demodulation,[status(thm)],[d5,c235]) ).
cnf(d7,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'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$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$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')),
inference(demodulation,[status(thm)],[d6,c21]) ).
cnf(d8,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$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$unat'),'tc$unat'),'c$uSet$uOimage'('c$uPublic$uOshrK','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$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d7,c153]) ).
cnf(d9,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$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$unat'),'tc$unat'),'c$uSet$uOimage'('c$uPublic$uOshrK','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d8,c153]) ).
cnf(d10,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$unat'),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer')),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'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'),'c$uSet$uOimage'('c$uPublic$uOshrK','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$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d9,c40]) ).
cnf(d11,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer')),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$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$unat'),'c$uSet$uOimage'('c$uPublic$uOshrK','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d10,c41]) ).
cnf(d12,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = '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$uOServer')),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$unat'),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$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$uOshrK','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d11,c40]) ).
cnf(d13,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'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$uPublic$uOshrK','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d12,c41]) ).
cnf(d14,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = '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$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$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$unat'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$unat'),'c$uSet$uOimage'('c$uPublic$uOshrK','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d13,c21]) ).
cnf(d15,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uMessage$uOagent$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'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$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOshrK','c$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$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d14,c122]) ).
cnf(d16,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer') = '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$uOServer')),'c$uSet$uOinsert'(hAPP('c$uMessage$uOinvKey',hAPP('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uMessage$uOagent$uOServer')),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOshrK','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOagent','tc$ubool')),'tc$uMessage$uOagent','tc$unat'),'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$ufun'('tc$unat','tc$ubool')),'tc$unat'),'tc$unat'),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d15,c21]) ).
cnf(d17,plain,
'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer')) = 'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$unat','tc$ubool')),
inference(superposition,[status(thm)],[d16,c310]) ).
cnf(d18,plain,
'c$uMessage$uOkeysFor'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey',X0,'tc$unat','tc$uMessage$uOmsg')) = 'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer')),
inference(demodulation,[status(thm)],[c310,d17]) ).
cnf(d19,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','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$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$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')),
inference(demodulation,[status(thm)],[c100,c17]) ).
cnf(d20,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$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$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d19,c17]) ).
cnf(d21,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d20,c17]) ).
cnf(d22,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d21,c21]) ).
cnf(d23,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d22,c21]) ).
cnf(d24,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'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$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d23,c21]) ).
cnf(d25,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$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$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d24,c21]) ).
cnf(d26,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d25,c122]) ).
cnf(d27,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d26,c21]) ).
cnf(d28,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'c$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$uOmsg'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$uOmsg'),'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d27,c153]) ).
cnf(d29,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'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$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$unat'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d28,c153]) ).
cnf(d30,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$uMessage$uOmsg'),'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$unat'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('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$unat'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d29,c153]) ).
cnf(d31,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'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$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'c$uSet$uOimage'('c$uMessage$uOinvKey','c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$unat','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d30,c153]) ).
cnf(d32,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') = 'c$uSet$uOimage'('c$uMessage$uOmsg$uOKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOshrK','c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'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$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$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'),'c$uSet$uOimage'('c$uMessage$uOinvKey','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOEncryption'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'c$uSet$uOimage'('c$uPublic$uOpublicKey'('c$uPublic$uOkeymode$uOSignature'),'c$uEvent$uObad','tc$uMessage$uOagent','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$unat'),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$ufun'('tc$unat','tc$ubool')),'tc$unat','tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d31,c153]) ).
cnf(d33,plain,
'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy')) = 'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer')),
inference(superposition,[status(thm)],[d32,d18]) ).
cnf(d34,plain,
'c$uSet$uOinsert'('c$uMessage$uOmsg$uOAgent'(X0),'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg') = 'c$uMessage$uOsynth'(X1),
inference(resolution,[status(thm)],[c421,c515]) ).
cnf(d35,plain,
hBOOL(hAPP('c$uMessage$uOsynth'(X1),'c$uMessage$uOmsg$uOAgent'(X0))),
inference(superposition,[status(thm)],[d34,c483]) ).
cnf(d36,plain,
( 'c$uSet$uOinsert'(X1,X0,X2) = X0
| ~ hBOOL(hAPP(X0,X1)) ),
inference(resolution,[status(thm)],[c583,c421]) ).
cnf(d37,plain,
'c$uSet$uOinsert'('c$uMessage$uOmsg$uOAgent'(X0),'c$uMessage$uOsynth'(X1),X2) = 'c$uMessage$uOsynth'(X1),
inference(resolution,[status(thm)],[d36,d35]) ).
cnf(d38,plain,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')) != 'c$uMessage$uOsynth'(X1),
inference(superposition,[status(thm)],[d37,c96]) ).
cnf(d39,plain,
'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer')) != 'c$uMessage$uOsynth'(X0),
inference(superposition,[status(thm)],[d17,d38]) ).
cnf(d40,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uMessage$uOsynth'(X0),'tc$ufun'('tc$uMessage$uOmsg','tc$ubool')) = 'c$uMessage$uOsynth'(X0),
inference(resolution,[status(thm)],[c87,c203]) ).
cnf(d41,plain,
'c$uMessage$uOsynth'('c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool'))) = 'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(superposition,[status(thm)],[d40,c174]) ).
cnf(d42,plain,
'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer')) != 'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(superposition,[status(thm)],[d41,d39]) ).
cnf(d43,plain,
'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy')) != 'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d42,d33]) ).
cnf(d44,plain,
~ hBOOL(hAPP('c$uEvent$uObad','c$uMessage$uOagent$uOServer')),
inference(resolution,[status(thm)],[c583,c530]) ).
cnf(d45,plain,
( ~ hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X0,X1),'c$uPublic$uOkeymode$uOEncryption'))
| hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X0,X1),X2)) ),
inference(resolution,[status(thm)],[c483,c14]) ).
cnf(d46,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X1,'c$uSet$uOinsert'(X0,X2,X3),X3),X0)),
inference(superposition,[status(thm)],[c457,c483]) ).
cnf(d47,plain,
hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature','c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption',X0,X1),X1),X2)),
inference(resolution,[status(thm)],[d46,d45]) ).
cnf(d48,plain,
hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOEncryption','c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X0,X1),X1),X2)),
inference(demodulation,[status(thm)],[d47,c457]) ).
cnf(d49,plain,
( hBOOL(hAPP('c$uSet$uOinsert'('c$uPublic$uOkeymode$uOSignature',X1,X2),X0))
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d48,c469]) ).
cnf(d50,plain,
( hBOOL(hAPP(X1,X0))
| 'c$uPublic$uOkeymode$uOSignature' = X0
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d49,c469]) ).
cnf(d51,plain,
( 'c$uPublic$uOkeymode$uOSignature' = 'c$uEvent$uObad'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad' ),
inference(resolution,[status(thm)],[d50,c602]) ).
cnf(d52,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| ~ hBOOL(hAPP('c$uPublic$uOkeymode$uOSignature','c$uMessage$uOagent$uOServer')) ),
inference(superposition,[status(thm)],[d51,d44]) ).
cnf(d53,plain,
( 'c$uPublic$uOkeymode$uOSignature' = X0
| 'c$uPublic$uOkeymode$uOEncryption' = X0 ),
inference(resolution,[status(thm)],[d50,c70]) ).
cnf(d54,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| ~ hBOOL(hAPP(X0,'c$uMessage$uOagent$uOServer')) ),
inference(superposition,[status(thm)],[d53,d52]) ).
cnf(d55,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')) ),
inference(resolution,[status(thm)],[d54,c568]) ).
cnf(d56,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| 'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy')) != 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d55,d43]) ).
cnf(d57,plain,
~ hBOOL(hAPP('c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOServer')),X0)),
inference(superposition,[status(thm)],[d17,c70]) ).
cnf(d58,plain,
~ hBOOL(hAPP('c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy')),X0)),
inference(demodulation,[status(thm)],[d57,d33]) ).
cnf(d59,plain,
'c$uSet$uOinsert'('c$uMessage$uOagent$uOSpy','c$uEvent$uObad','tc$uMessage$uOagent') = 'c$uEvent$uObad',
inference(resolution,[status(thm)],[c421,c565]) ).
cnf(d60,plain,
hBOOL(hAPP('c$uEvent$uObad','c$uMessage$uOagent$uOSpy')),
inference(superposition,[status(thm)],[d59,c483]) ).
cnf(d61,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| hBOOL(hAPP('c$uPublic$uOkeymode$uOSignature','c$uMessage$uOagent$uOSpy')) ),
inference(superposition,[status(thm)],[d51,d60]) ).
cnf(d62,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| hBOOL(hAPP(X0,'c$uMessage$uOagent$uOSpy')) ),
inference(superposition,[status(thm)],[d53,d61]) ).
cnf(d63,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy')) ),
inference(resolution,[status(thm)],[d62,d58]) ).
cnf(d64,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| 'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad'
| 'c$uPublic$uOkeymode$uOEncryption' != 'c$uPublic$uOkeymode$uOEncryption' ),
inference(superposition,[status(thm)],[d63,d56]) ).
cnf(d65,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X0,'tc$unat') = X0,
inference(resolution,[status(thm)],[c31,c615]) ).
cnf(d66,plain,
( ~ 'class$uLattices$uOupper$u$usemilattice'('tc$unat')
| 'c$ulessequals'(X0,X0,'tc$unat') ),
inference(superposition,[status(thm)],[d65,c109]) ).
cnf(d67,plain,
'c$ulessequals'(X0,X0,'tc$unat'),
inference(resolution,[status(thm)],[c615,d66]) ).
cnf(d68,plain,
( ~ 'class$uLattices$uOupper$u$usemilattice'('tc$unat')
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X0,'tc$unat') = X0 ),
inference(resolution,[status(thm)],[d67,c84]) ).
cnf(d69,plain,
( ~ 'class$uLattices$uOupper$u$usemilattice'('tc$unat')
| X0 = X0 ),
inference(demodulation,[status(thm)],[d68,d65]) ).
cnf(d70,plain,
X0 = X0,
inference(resolution,[status(thm)],[c615,d69]) ).
cnf(d71,plain,
'c$uPublic$uOkeymode$uOEncryption' = 'c$uEvent$uObad',
inference(resolution,[status(thm)],[d70,d64]) ).
cnf(d72,plain,
~ hBOOL(hAPP('c$uEvent$uObad','v$uA')),
inference(resolution,[status(thm)],[c583,c602]) ).
cnf(d73,plain,
~ hBOOL(hAPP('c$uPublic$uOkeymode$uOEncryption','v$uA')),
inference(demodulation,[status(thm)],[d72,d71]) ).
cnf(d74,plain,
'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy')) != 'c$uMessage$uOsynth'(X0),
inference(demodulation,[status(thm)],[d39,d33]) ).
cnf(d75,plain,
hBOOL(hAPP('c$uPublic$uOkeymode$uOEncryption','c$uMessage$uOagent$uOSpy')),
inference(demodulation,[status(thm)],[d60,d71]) ).
cnf(d76,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| 'c$uPublic$uOkeymode$uOEncryption' = X1
| X0 = X1 ),
inference(superposition,[status(thm)],[d53,d53]) ).
cnf(d77,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X1
| X1 = X0
| hBOOL(hAPP(X0,'c$uMessage$uOagent$uOSpy')) ),
inference(superposition,[status(thm)],[d76,d75]) ).
cnf(d78,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| X0 = 'c$uMessage$uOkeysFor'('c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy')) ),
inference(resolution,[status(thm)],[d77,d58]) ).
cnf(d79,plain,
( 'c$uPublic$uOkeymode$uOEncryption' = X0
| X0 != 'c$uMessage$uOsynth'(X1) ),
inference(superposition,[status(thm)],[d78,d74]) ).
cnf(d80,plain,
'c$uPublic$uOkeymode$uOEncryption' = 'c$uMessage$uOsynth'(X0),
inference(equality_resolution,[status(thm)],[d79]) ).
cnf(d81,plain,
'c$uPublic$uOkeymode$uOEncryption' = 'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uMessage$uOmsg','tc$ubool')),
inference(demodulation,[status(thm)],[d41,d80]) ).
cnf(d82,plain,
hBOOL(hAPP('c$uPublic$uOkeymode$uOEncryption',X0)),
inference(superposition,[status(thm)],[d81,c568]) ).
cnf(d83,plain,
$false,
inference(resolution,[status(thm)],[d82,d73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV731-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 14:53:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 81.54/14.41 % SZS status Unsatisfiable for theBenchmark.p
% 81.54/14.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------